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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# BATDOG <a class=\"tocSkip\">\n",
    "\n",
    "### *The <font color=red>B</font>ayesian <font color=red>A</font>s<font color=red>t</font>rometric <font color=red>D</font>ust Cart<font color=red>og</font>rapher* <a class=\"tocSkip\">\n",
    "\n",
    "![BATDOG_BEGINS.jpg](attachment:BATDOG_BEGINS.jpg)\n",
    "\n",
    "**A Python notebook for processing of parallaxes, comparison with variable star distances and inference of line of sight interstellar extinction to said variable stars.**\n",
    "\n",
    "This notebook was developed with Table of Contents 2, a Jupyter notebook extension that makes navigating between sections of the code significantly easier. It is strongly recommended that you install this extension. Some details about how to do this can be found here: https://ndres.me/post/best-jupyter-notebook-extensions/ (remember to restart Jupyter after installing nbextensions)\n",
    "\n",
    "------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "toc": true
   },
   "source": [
    "<h1>Contents<span class=\"tocSkip\"></span></h1>\n",
    "<div class=\"toc\"><ul class=\"toc-item\"><li><span><a href=\"#Imports-and-dependencies\" data-toc-modified-id=\"Imports-and-dependencies-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>Imports and dependencies</a></span></li><li><span><a href=\"#Loading-of-real-data\" data-toc-modified-id=\"Loading-of-real-data-2\"><span class=\"toc-item-num\">2&nbsp;&nbsp;</span>Loading of real data</a></span><ul class=\"toc-item\"><li><span><a href=\"#Set-model-parameters\" data-toc-modified-id=\"Set-model-parameters-2.1\"><span class=\"toc-item-num\">2.1&nbsp;&nbsp;</span><font color=\"red\">Set model parameters</font></a></span></li><li><span><a href=\"#Load-The-Badass-Table-of-Awesomeness\" data-toc-modified-id=\"Load-The-Badass-Table-of-Awesomeness-2.2\"><span class=\"toc-item-num\">2.2&nbsp;&nbsp;</span>Load The Badass Table of Awesomeness</a></span></li><li><span><a href=\"#Define-PLR-and-extinction-relation-convenience-functions\" data-toc-modified-id=\"Define-PLR-and-extinction-relation-convenience-functions-2.3\"><span class=\"toc-item-num\">2.3&nbsp;&nbsp;</span>Define PLR and extinction relation convenience functions</a></span></li><li><span><a href=\"#Setup-of-the-priors\" data-toc-modified-id=\"Setup-of-the-priors-2.4\"><span class=\"toc-item-num\">2.4&nbsp;&nbsp;</span>Setup of the priors</a></span><ul class=\"toc-item\"><li><span><a href=\"#Define-a-ParallaxPrior-class\" data-toc-modified-id=\"Define-a-ParallaxPrior-class-2.4.1\"><span class=\"toc-item-num\">2.4.1&nbsp;&nbsp;</span>Define a ParallaxPrior class</a></span></li><li><span><a href=\"#Initialise-the-ParallaxPrior-class\" data-toc-modified-id=\"Initialise-the-ParallaxPrior-class-2.4.2\"><span class=\"toc-item-num\">2.4.2&nbsp;&nbsp;</span>Initialise the ParallaxPrior class</a></span></li></ul></li></ul></li><li><span><a href=\"#Setup-of-likelihood-&amp;-priors\" data-toc-modified-id=\"Setup-of-likelihood-&amp;-priors-3\"><span class=\"toc-item-num\">3&nbsp;&nbsp;</span>Setup of likelihood &amp; priors</a></span><ul class=\"toc-item\"><li><span><a href=\"#A-debug-helper-function\" data-toc-modified-id=\"A-debug-helper-function-3.1\"><span class=\"toc-item-num\">3.1&nbsp;&nbsp;</span>A debug helper function</a></span></li><li><span><a href=\"#Priors\" data-toc-modified-id=\"Priors-3.2\"><span class=\"toc-item-num\">3.2&nbsp;&nbsp;</span>Priors</a></span><ul class=\"toc-item\"><li><span><a href=\"#Prior-on-extinction\" data-toc-modified-id=\"Prior-on-extinction-3.2.1\"><span class=\"toc-item-num\">3.2.1&nbsp;&nbsp;</span>Prior on extinction</a></span></li><li><span><a href=\"#Prior-on-Rv\" data-toc-modified-id=\"Prior-on-Rv-3.2.2\"><span class=\"toc-item-num\">3.2.2&nbsp;&nbsp;</span>Prior on Rv</a></span></li><li><span><a href=\"#Prior-on-PLR-parameters\" data-toc-modified-id=\"Prior-on-PLR-parameters-3.2.3\"><span class=\"toc-item-num\">3.2.3&nbsp;&nbsp;</span>Prior on PLR parameters</a></span></li><li><span><a href=\"#Parallax-priors\" data-toc-modified-id=\"Parallax-priors-3.2.4\"><span class=\"toc-item-num\">3.2.4&nbsp;&nbsp;</span>Parallax priors</a></span><ul class=\"toc-item\"><li><span><a href=\"#Prior-on-variable-star-parallax\" data-toc-modified-id=\"Prior-on-variable-star-parallax-3.2.4.1\"><span class=\"toc-item-num\">3.2.4.1&nbsp;&nbsp;</span>Prior on variable star parallax</a></span></li><li><span><a href=\"#Prior-on-binary-star-parallax\" data-toc-modified-id=\"Prior-on-binary-star-parallax-3.2.4.2\"><span class=\"toc-item-num\">3.2.4.2&nbsp;&nbsp;</span>Prior on binary star parallax</a></span></li><li><span><a href=\"#Prior-on-parallax-offset\" data-toc-modified-id=\"Prior-on-parallax-offset-3.2.4.3\"><span class=\"toc-item-num\">3.2.4.3&nbsp;&nbsp;</span>Prior on parallax offset</a></span></li></ul></li><li><span><a href=\"#Prior-on-scale-length\" data-toc-modified-id=\"Prior-on-scale-length-3.2.5\"><span class=\"toc-item-num\">3.2.5&nbsp;&nbsp;</span>Prior on scale length</a></span></li><li><span><a href=\"#Logarithmic-priors-combination\" data-toc-modified-id=\"Logarithmic-priors-combination-3.2.6\"><span class=\"toc-item-num\">3.2.6&nbsp;&nbsp;</span>Logarithmic priors combination</a></span></li></ul></li><li><span><a href=\"#Likelihood-function\" data-toc-modified-id=\"Likelihood-function-3.3\"><span class=\"toc-item-num\">3.3&nbsp;&nbsp;</span>Likelihood function</a></span><ul class=\"toc-item\"><li><span><a href=\"#Parallax-likelihoods\" data-toc-modified-id=\"Parallax-likelihoods-3.3.1\"><span class=\"toc-item-num\">3.3.1&nbsp;&nbsp;</span>Parallax likelihoods</a></span><ul class=\"toc-item\"><li><span><a href=\"#For-variable-stars\" data-toc-modified-id=\"For-variable-stars-3.3.1.1\"><span class=\"toc-item-num\">3.3.1.1&nbsp;&nbsp;</span>For variable stars</a></span></li><li><span><a href=\"#For-binary-stars---Gaia-measurements\" data-toc-modified-id=\"For-binary-stars---Gaia-measurements-3.3.1.2\"><span class=\"toc-item-num\">3.3.1.2&nbsp;&nbsp;</span>For binary stars - Gaia measurements</a></span></li><li><span><a href=\"#For-binary-stars---external-measurements\" data-toc-modified-id=\"For-binary-stars---external-measurements-3.3.1.3\"><span class=\"toc-item-num\">3.3.1.3&nbsp;&nbsp;</span>For binary stars - external measurements</a></span></li></ul></li><li><span><a href=\"#Likelihood-of-apparent-magnitude-data\" data-toc-modified-id=\"Likelihood-of-apparent-magnitude-data-3.3.2\"><span class=\"toc-item-num\">3.3.2&nbsp;&nbsp;</span>Likelihood of apparent magnitude data</a></span></li><li><span><a href=\"#Logarithmic-likelihoods-combination\" data-toc-modified-id=\"Logarithmic-likelihoods-combination-3.3.3\"><span class=\"toc-item-num\">3.3.3&nbsp;&nbsp;</span>Logarithmic likelihoods combination</a></span></li></ul></li><li><span><a href=\"#Posterior\" data-toc-modified-id=\"Posterior-3.4\"><span class=\"toc-item-num\">3.4&nbsp;&nbsp;</span>Posterior</a></span></li></ul></li><li><span><a href=\"#Creation-of-a-starting-guess\" data-toc-modified-id=\"Creation-of-a-starting-guess-4\"><span class=\"toc-item-num\">4&nbsp;&nbsp;</span>Creation of a starting guess</a></span><ul class=\"toc-item\"><li><span><a href=\"#Define-a-function-that-sets-up-a-ranges-dictionary\" data-toc-modified-id=\"Define-a-function-that-sets-up-a-ranges-dictionary-4.1\"><span class=\"toc-item-num\">4.1&nbsp;&nbsp;</span>Define a function that sets up a <em>ranges</em> dictionary</a></span></li><li><span><a href=\"#Make-a-dictionary-of-data\" data-toc-modified-id=\"Make-a-dictionary-of-data-4.2\"><span class=\"toc-item-num\">4.2&nbsp;&nbsp;</span>Make a dictionary of data</a></span></li><li><span><a href=\"#Set-initial-expected-hyperparameter-guesses\" data-toc-modified-id=\"Set-initial-expected-hyperparameter-guesses-4.3\"><span class=\"toc-item-num\">4.3&nbsp;&nbsp;</span>Set initial expected hyperparameter guesses</a></span></li><li><span><a href=\"#Create-a-starting-guess-parameters-vector\" data-toc-modified-id=\"Create-a-starting-guess-parameters-vector-4.4\"><span class=\"toc-item-num\">4.4&nbsp;&nbsp;</span>Create a starting guess parameters vector</a></span></li><li><span><a href=\"#Maximise-said-starting-guess-in-a-rigorous-process\" data-toc-modified-id=\"Maximise-said-starting-guess-in-a-rigorous-process-4.5\"><span class=\"toc-item-num\">4.5&nbsp;&nbsp;</span>Maximise said starting guess in a rigorous process</a></span><ul class=\"toc-item\"><li><span><a href=\"#Find-omega_0-from-assumed-correct-omega_B-values\" data-toc-modified-id=\"Find-omega_0-from-assumed-correct-omega_B-values-4.5.1\"><span class=\"toc-item-num\">4.5.1&nbsp;&nbsp;</span>Find omega_0 from assumed-correct omega_B values</a></span></li><li><span><a href=\"#Find-L-from-a-mean\" data-toc-modified-id=\"Find-L-from-a-mean-4.5.2\"><span class=\"toc-item-num\">4.5.2&nbsp;&nbsp;</span>Find L from a mean</a></span></li><li><span><a href=\"#Parallax-maximisation\" data-toc-modified-id=\"Parallax-maximisation-4.5.3\"><span class=\"toc-item-num\">4.5.3&nbsp;&nbsp;</span>Parallax maximisation</a></span></li><li><span><a href=\"#Inference-of-extinctions-from-parallax-guesses\" data-toc-modified-id=\"Inference-of-extinctions-from-parallax-guesses-4.5.4\"><span class=\"toc-item-num\">4.5.4&nbsp;&nbsp;</span>Inference of extinctions from parallax guesses</a></span></li><li><span><a href=\"#Store-the-guesses\" data-toc-modified-id=\"Store-the-guesses-4.5.5\"><span class=\"toc-item-num\">4.5.5&nbsp;&nbsp;</span>Store the guesses</a></span></li></ul></li><li><span><a href=\"#Export-the-starting-guesses-into-a-(checked)-set-of-dimensions-guesses\" data-toc-modified-id=\"Export-the-starting-guesses-into-a-(checked)-set-of-dimensions-guesses-4.6\"><span class=\"toc-item-num\">4.6&nbsp;&nbsp;</span>Export the starting guesses into a (checked) set of <em>dimensions</em> guesses</a></span></li></ul></li><li><span><a href=\"#Running-of-emcee\" data-toc-modified-id=\"Running-of-emcee-5\"><span class=\"toc-item-num\">5&nbsp;&nbsp;</span>Running of emcee</a></span><ul class=\"toc-item\"><li><span><a href=\"#Define-an-emcee-running-function\" data-toc-modified-id=\"Define-an-emcee-running-function-5.1\"><span class=\"toc-item-num\">5.1&nbsp;&nbsp;</span>Define an emcee running function</a></span></li><li><span><a href=\"#Define-plotting-functions\" data-toc-modified-id=\"Define-plotting-functions-5.2\"><span class=\"toc-item-num\">5.2&nbsp;&nbsp;</span>Define plotting functions</a></span></li><li><span><a href=\"#Initialise-emcee-and-try-a-few-first-steps\" data-toc-modified-id=\"Initialise-emcee-and-try-a-few-first-steps-5.3\"><span class=\"toc-item-num\">5.3&nbsp;&nbsp;</span>Initialise emcee and try a few first steps</a></span></li><li><span><a href=\"#Run-emcee-for-reals-and-check-output\" data-toc-modified-id=\"Run-emcee-for-reals-and-check-output-5.4\"><span class=\"toc-item-num\">5.4&nbsp;&nbsp;</span>Run emcee <em>for reals</em> and check output</a></span></li></ul></li><li><span><a href=\"#Data-saving-and-plotting\" data-toc-modified-id=\"Data-saving-and-plotting-6\"><span class=\"toc-item-num\">6&nbsp;&nbsp;</span>Data saving and plotting</a></span><ul class=\"toc-item\"><li><span><a href=\"#Function-for-computing-sample-quantiles\" data-toc-modified-id=\"Function-for-computing-sample-quantiles-6.1\"><span class=\"toc-item-num\">6.1&nbsp;&nbsp;</span>Function for computing sample quantiles</a></span></li><li><span><a href=\"#Compare-between-true-&amp;-inferred-values\" data-toc-modified-id=\"Compare-between-true-&amp;-inferred-values-6.2\"><span class=\"toc-item-num\">6.2&nbsp;&nbsp;</span>Compare between true &amp; inferred values</a></span></li><li><span><a href=\"#Get-IRSA-dust-extinction-values\" data-toc-modified-id=\"Get-IRSA-dust-extinction-values-6.3\"><span class=\"toc-item-num\">6.3&nbsp;&nbsp;</span>Get IRSA dust extinction values</a></span></li><li><span><a href=\"#Plots-of-all-parameters\" data-toc-modified-id=\"Plots-of-all-parameters-6.4\"><span class=\"toc-item-num\">6.4&nbsp;&nbsp;</span>Plots of all parameters</a></span></li><li><span><a href=\"#PLR-plots\" data-toc-modified-id=\"PLR-plots-6.5\"><span class=\"toc-item-num\">6.5&nbsp;&nbsp;</span>PLR plots</a></span></li><li><span><a href=\"#Dereddened-magnitude-fits\" data-toc-modified-id=\"Dereddened-magnitude-fits-6.6\"><span class=\"toc-item-num\">6.6&nbsp;&nbsp;</span>Dereddened magnitude fits</a></span></li><li><span><a href=\"#Pickle-the-data-so-we-can-use-it-later\" data-toc-modified-id=\"Pickle-the-data-so-we-can-use-it-later-6.7\"><span class=\"toc-item-num\">6.7&nbsp;&nbsp;</span>Pickle the data so we can use it later</a></span></li></ul></li><li><span><a href=\"#-------DEPRECATED-CODE-BELOW------\" data-toc-modified-id=\"-------DEPRECATED-CODE-BELOW-------7\"><span class=\"toc-item-num\">7&nbsp;&nbsp;</span>------ DEPRECATED CODE BELOW -----</a></span></li><li><span><a href=\"#Fake-data-loading-copy\" data-toc-modified-id=\"Fake-data-loading-copy-8\"><span class=\"toc-item-num\">8&nbsp;&nbsp;</span>Fake data loading copy</a></span><ul class=\"toc-item\"><li><span><a href=\"#Set-model-parameters\" data-toc-modified-id=\"Set-model-parameters-8.1\"><span class=\"toc-item-num\">8.1&nbsp;&nbsp;</span><font color=\"red\">Set model parameters</font></a></span></li><li><span><a href=\"#Define-PLR-relation-convenience-functions\" data-toc-modified-id=\"Define-PLR-relation-convenience-functions-8.2\"><span class=\"toc-item-num\">8.2&nbsp;&nbsp;</span>Define PLR relation convenience functions</a></span></li><li><span><a href=\"#Setup-a-fake-distribution-of-stars\" data-toc-modified-id=\"Setup-a-fake-distribution-of-stars-8.3\"><span class=\"toc-item-num\">8.3&nbsp;&nbsp;</span>Setup a fake distribution of stars</a></span></li><li><span><a href=\"#Set-the-numpy-random-seed\" data-toc-modified-id=\"Set-the-numpy-random-seed-8.4\"><span class=\"toc-item-num\">8.4&nbsp;&nbsp;</span>Set the numpy random seed</a></span></li><li><span><a href=\"#Setup-of-the-stars-to-infer-dust-to\" data-toc-modified-id=\"Setup-of-the-stars-to-infer-dust-to-8.5\"><span class=\"toc-item-num\">8.5&nbsp;&nbsp;</span>Setup of the stars to infer dust to</a></span><ul class=\"toc-item\"><li><span><a href=\"#Sample-some-fake-variable-stars-from-the-stellar-distribution\" data-toc-modified-id=\"Sample-some-fake-variable-stars-from-the-stellar-distribution-8.5.1\"><span class=\"toc-item-num\">8.5.1&nbsp;&nbsp;</span>Sample some fake variable stars from the stellar distribution</a></span></li><li><span><a href=\"#Model-experimental-parameters-for-the-fake-stars\" data-toc-modified-id=\"Model-experimental-parameters-for-the-fake-stars-8.5.2\"><span class=\"toc-item-num\">8.5.2&nbsp;&nbsp;</span>Model experimental parameters for the fake stars</a></span></li></ul></li><li><span><a href=\"#Magellanic-Cloud---setup-of-the-prior-stars\" data-toc-modified-id=\"Magellanic-Cloud---setup-of-the-prior-stars-8.6\"><span class=\"toc-item-num\">8.6&nbsp;&nbsp;</span>Magellanic Cloud - setup of the prior stars</a></span><ul class=\"toc-item\"><li><span><a href=\"#Sample-some-fake-stars\" data-toc-modified-id=\"Sample-some-fake-stars-8.6.1\"><span class=\"toc-item-num\">8.6.1&nbsp;&nbsp;</span>Sample some fake stars</a></span></li><li><span><a href=\"#Define-a-ParallaxPrior-class\" data-toc-modified-id=\"Define-a-ParallaxPrior-class-8.6.2\"><span class=\"toc-item-num\">8.6.2&nbsp;&nbsp;</span>Define a ParallaxPrior class</a></span></li><li><span><a href=\"#Initialise-the-ParallaxPrior-class\" data-toc-modified-id=\"Initialise-the-ParallaxPrior-class-8.6.3\"><span class=\"toc-item-num\">8.6.3&nbsp;&nbsp;</span>Initialise the ParallaxPrior class</a></span></li></ul></li><li><span><a href=\"#Setup-of-omega_0-constraining-binary-stars\" data-toc-modified-id=\"Setup-of-omega_0-constraining-binary-stars-8.7\"><span class=\"toc-item-num\">8.7&nbsp;&nbsp;</span>Setup of omega_0 constraining binary stars</a></span></li></ul></li><li><span><a href=\"#Deprecated-code-snippets\" data-toc-modified-id=\"Deprecated-code-snippets-9\"><span class=\"toc-item-num\">9&nbsp;&nbsp;</span>Deprecated code snippets</a></span><ul class=\"toc-item\"><li><ul class=\"toc-item\"><li><span><a href=\"#OGLE-LMC-data-loading\" data-toc-modified-id=\"OGLE-LMC-data-loading-9.0.1\"><span class=\"toc-item-num\">9.0.1&nbsp;&nbsp;</span>OGLE LMC data loading</a></span></li><li><span><a href=\"#VMC-data-loading\" data-toc-modified-id=\"VMC-data-loading-9.0.2\"><span class=\"toc-item-num\">9.0.2&nbsp;&nbsp;</span>VMC data loading</a></span></li></ul></li><li><span><a href=\"#Some-testing-of-s-parameter-space\" data-toc-modified-id=\"Some-testing-of-s-parameter-space-9.1\"><span class=\"toc-item-num\">9.1&nbsp;&nbsp;</span>Some testing of <em>s</em> parameter space</a></span></li><li><span><a href=\"#Some-testing-of-A-parameter-space\" data-toc-modified-id=\"Some-testing-of-A-parameter-space-9.2\"><span class=\"toc-item-num\">9.2&nbsp;&nbsp;</span>Some testing of <em>A</em> parameter space</a></span></li><li><span><a href=\"#From-the-maximisation-function\" data-toc-modified-id=\"From-the-maximisation-function-9.3\"><span class=\"toc-item-num\">9.3&nbsp;&nbsp;</span>From the maximisation function</a></span></li><li><span><a href=\"#More-from-the-maximisation-function-(how-it-was-at-the-start-of-batdog_begins)\" data-toc-modified-id=\"More-from-the-maximisation-function-(how-it-was-at-the-start-of-batdog_begins)-9.4\"><span class=\"toc-item-num\">9.4&nbsp;&nbsp;</span>More from the maximisation function (how it was at the start of batdog_begins)</a></span></li><li><span><a href=\"#Run-the-maximisation-function-for-all-stars\" data-toc-modified-id=\"Run-the-maximisation-function-for-all-stars-9.5\"><span class=\"toc-item-num\">9.5&nbsp;&nbsp;</span>Run the maximisation function for all stars</a></span></li><li><span><a href=\"#Old-ranges-code\" data-toc-modified-id=\"Old-ranges-code-9.6\"><span class=\"toc-item-num\">9.6&nbsp;&nbsp;</span>Old ranges code</a></span></li><li><span><a href=\"#Some-code-for-a-different-parallax-prior-using-stars-as-Gaussians,-not-points\" data-toc-modified-id=\"Some-code-for-a-different-parallax-prior-using-stars-as-Gaussians,-not-points-9.7\"><span class=\"toc-item-num\">9.7&nbsp;&nbsp;</span>Some code for a different parallax prior using stars as Gaussians, not points</a></span></li></ul></li></ul></div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A note on units<span class=\"tocSkip\"></span>\n",
    "Throughout this notebook, the following unit conventions are always used:\n",
    "* Distance: expressed in **pc** (or **kpc** when clearly stated)\n",
    "* Parallaxes: always in **mas**.\n",
    "* Angles: always converted into **radians**, for better numpy compatibility.\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Imports and dependencies\n",
    "------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Specify directories"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Directory where we can find data for plotting\n",
    "data_dir = 'data/'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import sys\n",
    "import time\n",
    "import matplotlib.pyplot as plt\n",
    "import emcee  # MCMC package\n",
    "import corner  # For plots later - not essential to run but great for viewing\n",
    "import astropy.coordinates as coord  # For getting dust values\n",
    "import astropy.units as u  # # For getting dust values\n",
    "from psutil import virtual_memory  # For preventing RAM errors in emcee running\n",
    "from mpl_toolkits.mplot3d import Axes3D  # 3D plots\n",
    "from astropy.stats import knuth_bin_width  # Great bin width estimator\n",
    "from scipy.optimize import minimize  # Used in a few places for minimisation\n",
    "from scipy.stats import norm  # Fast normal distribution evaluator\n",
    "from scipy.stats import iqr as interquartile_range\n",
    "from scipy.signal import savgol_filter  # Smoothing algorithm\n",
    "from scipy.interpolate import interp1d as interpolate  # Cubic splines\n",
    "from astroquery.irsa_dust import IrsaDust  # For getting dust values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Loading of real data\n",
    "------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <font color=red>Set model parameters</font>\n",
    "Here, we input parameters for the artificial stellar distribution. To change the shape of the distribution you'll need to dive into the code - but important stuff lives here at the top."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Set some parameters\n",
    "number_of_cores = 8  # Number of CPU cores to use\n",
    "N_binaries = 0  # If zero, binary stars will be excluded from the model.\n",
    "scale_true = 1000  # Mean distance to stars\n",
    "use_metallicities = False  # Whether or not the model should use stellar FeHs\n",
    "infer_for_Rv = False\n",
    "\n",
    "# Set the type of parallax prior:\n",
    "# finite_cloud, decreasing_space_density\n",
    "prior_type = 'decreasing_space_density'\n",
    "N_prior = 0  # Necessary for 'finite cloud' data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load The Badass Table of Awesomeness"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>solution_id_1</th>\n",
       "      <th>designation</th>\n",
       "      <th>source_id_1</th>\n",
       "      <th>random_index</th>\n",
       "      <th>ref_epoch</th>\n",
       "      <th>ra</th>\n",
       "      <th>ra_error</th>\n",
       "      <th>dec</th>\n",
       "      <th>dec_error</th>\n",
       "      <th>parallax</th>\n",
       "      <th>parallax_error</th>\n",
       "      <th>parallax_over_error</th>\n",
       "      <th>pmra</th>\n",
       "      <th>pmra_error</th>\n",
       "      <th>pmdec</th>\n",
       "      <th>pmdec_error</th>\n",
       "      <th>ra_dec_corr</th>\n",
       "      <th>ra_parallax_corr</th>\n",
       "      <th>ra_pmra_corr</th>\n",
       "      <th>ra_pmdec_corr</th>\n",
       "      <th>dec_parallax_corr</th>\n",
       "      <th>dec_pmra_corr</th>\n",
       "      <th>dec_pmdec_corr</th>\n",
       "      <th>parallax_pmra_corr</th>\n",
       "      <th>parallax_pmdec_corr</th>\n",
       "      <th>pmra_pmdec_corr</th>\n",
       "      <th>astrometric_n_obs_al</th>\n",
       "      <th>astrometric_n_obs_ac</th>\n",
       "      <th>astrometric_n_good_obs_al</th>\n",
       "      <th>astrometric_n_bad_obs_al</th>\n",
       "      <th>astrometric_gof_al</th>\n",
       "      <th>astrometric_chi2_al</th>\n",
       "      <th>astrometric_excess_noise</th>\n",
       "      <th>astrometric_excess_noise_sig</th>\n",
       "      <th>astrometric_params_solved</th>\n",
       "      <th>astrometric_primary_flag</th>\n",
       "      <th>astrometric_weight_al</th>\n",
       "      <th>astrometric_pseudo_colour</th>\n",
       "      <th>astrometric_pseudo_colour_error</th>\n",
       "      <th>mean_varpi_factor_al</th>\n",
       "      <th>astrometric_matched_observations</th>\n",
       "      <th>visibility_periods_used</th>\n",
       "      <th>astrometric_sigma5d_max</th>\n",
       "      <th>frame_rotator_object_type</th>\n",
       "      <th>matched_observations</th>\n",
       "      <th>duplicated_source</th>\n",
       "      <th>phot_g_n_obs</th>\n",
       "      <th>phot_g_mean_flux</th>\n",
       "      <th>phot_g_mean_flux_error</th>\n",
       "      <th>phot_g_mean_flux_over_error</th>\n",
       "      <th>phot_g_mean_mag</th>\n",
       "      <th>phot_bp_n_obs</th>\n",
       "      <th>phot_bp_mean_flux</th>\n",
       "      <th>phot_bp_mean_flux_error</th>\n",
       "      <th>phot_bp_mean_flux_over_error</th>\n",
       "      <th>phot_bp_mean_mag</th>\n",
       "      <th>phot_rp_n_obs</th>\n",
       "      <th>phot_rp_mean_flux</th>\n",
       "      <th>phot_rp_mean_flux_error</th>\n",
       "      <th>phot_rp_mean_flux_over_error</th>\n",
       "      <th>phot_rp_mean_mag</th>\n",
       "      <th>phot_bp_rp_excess_factor</th>\n",
       "      <th>phot_proc_mode</th>\n",
       "      <th>bp_rp</th>\n",
       "      <th>bp_g</th>\n",
       "      <th>g_rp</th>\n",
       "      <th>radial_velocity</th>\n",
       "      <th>radial_velocity_error</th>\n",
       "      <th>rv_nb_transits</th>\n",
       "      <th>rv_template_teff</th>\n",
       "      <th>rv_template_logg</th>\n",
       "      <th>rv_template_fe_h</th>\n",
       "      <th>phot_variable_flag</th>\n",
       "      <th>l</th>\n",
       "      <th>b</th>\n",
       "      <th>ecl_lon</th>\n",
       "      <th>ecl_lat</th>\n",
       "      <th>priam_flags</th>\n",
       "      <th>teff_val</th>\n",
       "      <th>teff_percentile_lower</th>\n",
       "      <th>teff_percentile_upper</th>\n",
       "      <th>a_g_val</th>\n",
       "      <th>a_g_percentile_lower</th>\n",
       "      <th>a_g_percentile_upper</th>\n",
       "      <th>e_bp_min_rp_val</th>\n",
       "      <th>e_bp_min_rp_percentile_lower</th>\n",
       "      <th>e_bp_min_rp_percentile_upper</th>\n",
       "      <th>flame_flags</th>\n",
       "      <th>radius_val</th>\n",
       "      <th>radius_percentile_lower</th>\n",
       "      <th>radius_percentile_upper</th>\n",
       "      <th>lum_val</th>\n",
       "      <th>lum_percentile_lower</th>\n",
       "      <th>lum_percentile_upper</th>\n",
       "      <th>datalink_url</th>\n",
       "      <th>epoch_photometry_url</th>\n",
       "      <th>recno</th>\n",
       "      <th>Name</th>\n",
       "      <th>VType</th>\n",
       "      <th>logPer</th>\n",
       "      <th>&lt;Jmag&gt;</th>\n",
       "      <th>&lt;Hmag&gt;</th>\n",
       "      <th>&lt;Kmag&gt;</th>\n",
       "      <th>[Fe/H]l</th>\n",
       "      <th>[Fe/H]</th>\n",
       "      <th>e_[Fe/H]</th>\n",
       "      <th>Nsp</th>\n",
       "      <th>Mod</th>\n",
       "      <th>e_Mod</th>\n",
       "      <th>Rgal</th>\n",
       "      <th>e_Rgal</th>\n",
       "      <th>Notes</th>\n",
       "      <th>Ref</th>\n",
       "      <th>_RA</th>\n",
       "      <th>_DE</th>\n",
       "      <th>Separation</th>\n",
       "      <th>main_id</th>\n",
       "      <th>ra_x</th>\n",
       "      <th>dec_x</th>\n",
       "      <th>coo_err_maj</th>\n",
       "      <th>coo_err_min</th>\n",
       "      <th>coo_err_angle</th>\n",
       "      <th>nbref</th>\n",
       "      <th>ra_sexa</th>\n",
       "      <th>dec_sexa</th>\n",
       "      <th>main_type</th>\n",
       "      <th>other_types</th>\n",
       "      <th>radvel</th>\n",
       "      <th>redshift</th>\n",
       "      <th>sp_type</th>\n",
       "      <th>morph_type</th>\n",
       "      <th>plx</th>\n",
       "      <th>pmra_x</th>\n",
       "      <th>pmdec_x</th>\n",
       "      <th>size_maj</th>\n",
       "      <th>size_min</th>\n",
       "      <th>size_angle</th>\n",
       "      <th>B_x</th>\n",
       "      <th>V</th>\n",
       "      <th>R_x</th>\n",
       "      <th>J</th>\n",
       "      <th>H</th>\n",
       "      <th>K</th>\n",
       "      <th>u</th>\n",
       "      <th>g</th>\n",
       "      <th>r_xa</th>\n",
       "      <th>i</th>\n",
       "      <th>z</th>\n",
       "      <th>angDist</th>\n",
       "      <th>solution_id_2</th>\n",
       "      <th>source_id_2</th>\n",
       "      <th>pf</th>\n",
       "      <th>pf_error</th>\n",
       "      <th>p1_o</th>\n",
       "      <th>p1_o_error</th>\n",
       "      <th>p2_o</th>\n",
       "      <th>p2_o_error</th>\n",
       "      <th>p3_o</th>\n",
       "      <th>p3_o_error</th>\n",
       "      <th>epoch_g</th>\n",
       "      <th>epoch_g_error</th>\n",
       "      <th>epoch_bp</th>\n",
       "      <th>epoch_bp_error</th>\n",
       "      <th>epoch_rp</th>\n",
       "      <th>epoch_rp_error</th>\n",
       "      <th>int_average_g</th>\n",
       "      <th>int_average_g_error</th>\n",
       "      <th>int_average_bp</th>\n",
       "      <th>int_average_bp_error</th>\n",
       "      <th>int_average_rp</th>\n",
       "      <th>int_average_rp_error</th>\n",
       "      <th>peak_to_peak_g</th>\n",
       "      <th>peak_to_peak_g_error</th>\n",
       "      <th>peak_to_peak_bp</th>\n",
       "      <th>peak_to_peak_bp_error</th>\n",
       "      <th>peak_to_peak_rp</th>\n",
       "      <th>peak_to_peak_rp_error</th>\n",
       "      <th>metallicity</th>\n",
       "      <th>metallicity_error</th>\n",
       "      <th>r21_g</th>\n",
       "      <th>r21_g_error</th>\n",
       "      <th>r31_g</th>\n",
       "      <th>r31_g_error</th>\n",
       "      <th>phi21_g</th>\n",
       "      <th>phi21_g_error</th>\n",
       "      <th>phi31_g</th>\n",
       "      <th>phi31_g_error</th>\n",
       "      <th>num_clean_epochs_g</th>\n",
       "      <th>num_clean_epochs_bp</th>\n",
       "      <th>num_clean_epochs_rp</th>\n",
       "      <th>g_absorption</th>\n",
       "      <th>g_absorption_error</th>\n",
       "      <th>type_best_classification</th>\n",
       "      <th>type2_best_sub_classification</th>\n",
       "      <th>mode_best_classification</th>\n",
       "      <th>multi_mode_best_classification</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3031875585286182144</td>\n",
       "      <td>3031875585286182144</td>\n",
       "      <td>13684566</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>110.509905</td>\n",
       "      <td>0.033571</td>\n",
       "      <td>-14.318180</td>\n",
       "      <td>0.032630</td>\n",
       "      <td>0.275704</td>\n",
       "      <td>0.048918</td>\n",
       "      <td>5.636033</td>\n",
       "      <td>-2.179608</td>\n",
       "      <td>0.065318</td>\n",
       "      <td>3.144803</td>\n",
       "      <td>0.062298</td>\n",
       "      <td>-0.126156</td>\n",
       "      <td>0.187025</td>\n",
       "      <td>0.090076</td>\n",
       "      <td>0.218720</td>\n",
       "      <td>-0.147387</td>\n",
       "      <td>0.286678</td>\n",
       "      <td>0.234164</td>\n",
       "      <td>0.224604</td>\n",
       "      <td>-0.336551</td>\n",
       "      <td>-0.097901</td>\n",
       "      <td>203</td>\n",
       "      <td>203</td>\n",
       "      <td>201</td>\n",
       "      <td>2</td>\n",
       "      <td>4.977538</td>\n",
       "      <td>311.08228</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>278.996030</td>\n",
       "      <td>1.518955</td>\n",
       "      <td>0.009147</td>\n",
       "      <td>-0.056529</td>\n",
       "      <td>23</td>\n",
       "      <td>13</td>\n",
       "      <td>0.041935</td>\n",
       "      <td>0</td>\n",
       "      <td>25</td>\n",
       "      <td>False</td>\n",
       "      <td>221</td>\n",
       "      <td>3.642909e+06</td>\n",
       "      <td>3.656886e+04</td>\n",
       "      <td>99.617780</td>\n",
       "      <td>9.284745</td>\n",
       "      <td>25</td>\n",
       "      <td>1.496887e+06</td>\n",
       "      <td>6.228066e+04</td>\n",
       "      <td>24.034540</td>\n",
       "      <td>9.913416</td>\n",
       "      <td>25</td>\n",
       "      <td>2.902172e+06</td>\n",
       "      <td>7.014619e+04</td>\n",
       "      <td>41.373196</td>\n",
       "      <td>8.605112</td>\n",
       "      <td>1.207568</td>\n",
       "      <td>0</td>\n",
       "      <td>1.308304</td>\n",
       "      <td>0.628671</td>\n",
       "      <td>0.679633</td>\n",
       "      <td>58.927140</td>\n",
       "      <td>10.408811</td>\n",
       "      <td>4</td>\n",
       "      <td>4750.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>229.127634</td>\n",
       "      <td>0.116586</td>\n",
       "      <td>114.813568</td>\n",
       "      <td>-36.007348</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4577.5000</td>\n",
       "      <td>4556.6665</td>\n",
       "      <td>4659.6050</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>77.219000</td>\n",
       "      <td>74.521690</td>\n",
       "      <td>77.926730</td>\n",
       "      <td>2358.612000</td>\n",
       "      <td>1779.78320</td>\n",
       "      <td>2937.441000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>3</td>\n",
       "      <td>TW Cma</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8448</td>\n",
       "      <td>7.567</td>\n",
       "      <td>7.178</td>\n",
       "      <td>7.008</td>\n",
       "      <td>-0.51</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.09</td>\n",
       "      <td>1.0</td>\n",
       "      <td>12.02</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9788</td>\n",
       "      <td>445</td>\n",
       "      <td>a</td>\n",
       "      <td>LEM</td>\n",
       "      <td>110.50992</td>\n",
       "      <td>-14.31819</td>\n",
       "      <td>0.063587</td>\n",
       "      <td>V* TW CMa</td>\n",
       "      <td>110.509915</td>\n",
       "      <td>-14.318194</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>83</td>\n",
       "      <td>07 22 02.37948</td>\n",
       "      <td>-14 19 05.4975</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>66.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2757</td>\n",
       "      <td>-2.18</td>\n",
       "      <td>3.15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.400</td>\n",
       "      <td>9.590</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.781</td>\n",
       "      <td>7.327</td>\n",
       "      <td>7.131</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.059307</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>3031875585286182144</td>\n",
       "      <td>6.994835</td>\n",
       "      <td>0.000034</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1706.514677</td>\n",
       "      <td>0.000048</td>\n",
       "      <td>1706.443786</td>\n",
       "      <td>0.000048</td>\n",
       "      <td>1706.484970</td>\n",
       "      <td>0.000048</td>\n",
       "      <td>9.235820</td>\n",
       "      <td>0.000202</td>\n",
       "      <td>9.819659</td>\n",
       "      <td>0.000350</td>\n",
       "      <td>8.538479</td>\n",
       "      <td>0.000255</td>\n",
       "      <td>0.513908</td>\n",
       "      <td>0.000726</td>\n",
       "      <td>0.664835</td>\n",
       "      <td>0.001837</td>\n",
       "      <td>0.391897</td>\n",
       "      <td>0.001248</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.369087</td>\n",
       "      <td>0.001170</td>\n",
       "      <td>0.138882</td>\n",
       "      <td>0.002060</td>\n",
       "      <td>5.021929</td>\n",
       "      <td>0.006262</td>\n",
       "      <td>3.198345</td>\n",
       "      <td>0.010371</td>\n",
       "      <td>25</td>\n",
       "      <td>24</td>\n",
       "      <td>24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3113441691460573312</td>\n",
       "      <td>3113441691460573312</td>\n",
       "      <td>951780446</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>102.634733</td>\n",
       "      <td>0.033817</td>\n",
       "      <td>0.006999</td>\n",
       "      <td>0.033953</td>\n",
       "      <td>0.174622</td>\n",
       "      <td>0.038705</td>\n",
       "      <td>4.511661</td>\n",
       "      <td>-0.442315</td>\n",
       "      <td>0.069973</td>\n",
       "      <td>0.570539</td>\n",
       "      <td>0.069934</td>\n",
       "      <td>-0.109413</td>\n",
       "      <td>-0.028440</td>\n",
       "      <td>-0.105147</td>\n",
       "      <td>0.173735</td>\n",
       "      <td>-0.207661</td>\n",
       "      <td>0.155967</td>\n",
       "      <td>-0.193123</td>\n",
       "      <td>0.098129</td>\n",
       "      <td>0.084549</td>\n",
       "      <td>-0.195096</td>\n",
       "      <td>142</td>\n",
       "      <td>142</td>\n",
       "      <td>141</td>\n",
       "      <td>1</td>\n",
       "      <td>3.184199</td>\n",
       "      <td>194.71649</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>339.321200</td>\n",
       "      <td>1.430263</td>\n",
       "      <td>0.010397</td>\n",
       "      <td>-0.102499</td>\n",
       "      <td>16</td>\n",
       "      <td>11</td>\n",
       "      <td>0.050135</td>\n",
       "      <td>0</td>\n",
       "      <td>16</td>\n",
       "      <td>False</td>\n",
       "      <td>142</td>\n",
       "      <td>3.066078e+05</td>\n",
       "      <td>2.984384e+03</td>\n",
       "      <td>102.737390</td>\n",
       "      <td>11.971908</td>\n",
       "      <td>16</td>\n",
       "      <td>1.031690e+05</td>\n",
       "      <td>3.990224e+03</td>\n",
       "      <td>25.855438</td>\n",
       "      <td>12.817515</td>\n",
       "      <td>14</td>\n",
       "      <td>3.061282e+05</td>\n",
       "      <td>8.223948e+03</td>\n",
       "      <td>37.223995</td>\n",
       "      <td>11.047162</td>\n",
       "      <td>1.334921</td>\n",
       "      <td>0</td>\n",
       "      <td>1.770353</td>\n",
       "      <td>0.845608</td>\n",
       "      <td>0.924746</td>\n",
       "      <td>79.010464</td>\n",
       "      <td>2.685823</td>\n",
       "      <td>7</td>\n",
       "      <td>4500.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>212.823210</td>\n",
       "      <td>-0.196831</td>\n",
       "      <td>103.729065</td>\n",
       "      <td>-22.832129</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4066.0000</td>\n",
       "      <td>3922.5000</td>\n",
       "      <td>4332.8804</td>\n",
       "      <td>0.8230</td>\n",
       "      <td>0.4722</td>\n",
       "      <td>1.8474</td>\n",
       "      <td>0.4045</td>\n",
       "      <td>0.2400</td>\n",
       "      <td>0.9410</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>10</td>\n",
       "      <td>TW Mon</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.8511</td>\n",
       "      <td>9.709</td>\n",
       "      <td>9.137</td>\n",
       "      <td>8.904</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>0.07</td>\n",
       "      <td>1.0</td>\n",
       "      <td>13.76</td>\n",
       "      <td>0.05</td>\n",
       "      <td>13059</td>\n",
       "      <td>457</td>\n",
       "      <td>b+</td>\n",
       "      <td>LEM</td>\n",
       "      <td>102.63475</td>\n",
       "      <td>0.00700</td>\n",
       "      <td>0.062754</td>\n",
       "      <td>V* TW Mon</td>\n",
       "      <td>102.634735</td>\n",
       "      <td>0.006996</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>34</td>\n",
       "      <td>06 50 32.33629</td>\n",
       "      <td>+00 00 25.1859</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|*  |V* |IR</td>\n",
       "      <td>79.010</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1746</td>\n",
       "      <td>-0.44</td>\n",
       "      <td>0.57</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.622</td>\n",
       "      <td>9.080</td>\n",
       "      <td>8.845</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.011190</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>3113441691460573312</td>\n",
       "      <td>7.097477</td>\n",
       "      <td>0.000063</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1706.701096</td>\n",
       "      <td>0.000090</td>\n",
       "      <td>1706.608996</td>\n",
       "      <td>0.000090</td>\n",
       "      <td>1700.284297</td>\n",
       "      <td>0.000090</td>\n",
       "      <td>11.973897</td>\n",
       "      <td>0.000289</td>\n",
       "      <td>12.827943</td>\n",
       "      <td>0.000675</td>\n",
       "      <td>11.028866</td>\n",
       "      <td>0.003362</td>\n",
       "      <td>0.433845</td>\n",
       "      <td>0.001496</td>\n",
       "      <td>0.493603</td>\n",
       "      <td>0.003706</td>\n",
       "      <td>0.248418</td>\n",
       "      <td>0.012681</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.405469</td>\n",
       "      <td>0.008274</td>\n",
       "      <td>0.126952</td>\n",
       "      <td>0.004852</td>\n",
       "      <td>5.311808</td>\n",
       "      <td>0.011364</td>\n",
       "      <td>3.068775</td>\n",
       "      <td>0.043818</td>\n",
       "      <td>16</td>\n",
       "      <td>15</td>\n",
       "      <td>12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3127458403130026112</td>\n",
       "      <td>3127458403130026112</td>\n",
       "      <td>662643736</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>101.789166</td>\n",
       "      <td>0.048785</td>\n",
       "      <td>3.967101</td>\n",
       "      <td>0.045231</td>\n",
       "      <td>0.124740</td>\n",
       "      <td>0.049030</td>\n",
       "      <td>2.544150</td>\n",
       "      <td>-0.042696</td>\n",
       "      <td>0.094998</td>\n",
       "      <td>0.803041</td>\n",
       "      <td>0.085952</td>\n",
       "      <td>-0.353997</td>\n",
       "      <td>0.127310</td>\n",
       "      <td>-0.326267</td>\n",
       "      <td>0.295306</td>\n",
       "      <td>-0.214594</td>\n",
       "      <td>0.256130</td>\n",
       "      <td>-0.358896</td>\n",
       "      <td>0.138864</td>\n",
       "      <td>0.006980</td>\n",
       "      <td>-0.271378</td>\n",
       "      <td>133</td>\n",
       "      <td>133</td>\n",
       "      <td>130</td>\n",
       "      <td>3</td>\n",
       "      <td>10.108301</td>\n",
       "      <td>361.26785</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>9.877322e-01</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>208.572280</td>\n",
       "      <td>1.516746</td>\n",
       "      <td>0.014264</td>\n",
       "      <td>-0.238289</td>\n",
       "      <td>15</td>\n",
       "      <td>11</td>\n",
       "      <td>0.065408</td>\n",
       "      <td>0</td>\n",
       "      <td>16</td>\n",
       "      <td>True</td>\n",
       "      <td>133</td>\n",
       "      <td>1.552074e+06</td>\n",
       "      <td>1.327238e+04</td>\n",
       "      <td>116.940130</td>\n",
       "      <td>10.211084</td>\n",
       "      <td>14</td>\n",
       "      <td>7.001198e+05</td>\n",
       "      <td>2.495591e+04</td>\n",
       "      <td>28.054272</td>\n",
       "      <td>10.738458</td>\n",
       "      <td>15</td>\n",
       "      <td>1.220303e+06</td>\n",
       "      <td>2.468729e+04</td>\n",
       "      <td>49.430428</td>\n",
       "      <td>9.545751</td>\n",
       "      <td>1.237327</td>\n",
       "      <td>0</td>\n",
       "      <td>1.192707</td>\n",
       "      <td>0.527373</td>\n",
       "      <td>0.665334</td>\n",
       "      <td>56.480580</td>\n",
       "      <td>5.786506</td>\n",
       "      <td>4</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>208.913477</td>\n",
       "      <td>0.857292</td>\n",
       "      <td>102.446024</td>\n",
       "      <td>-18.964273</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4965.1970</td>\n",
       "      <td>4861.7500</td>\n",
       "      <td>5153.2400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>14</td>\n",
       "      <td>V508 Mon</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6163</td>\n",
       "      <td>8.627</td>\n",
       "      <td>8.277</td>\n",
       "      <td>8.136</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>0.10</td>\n",
       "      <td>1.0</td>\n",
       "      <td>12.42</td>\n",
       "      <td>0.05</td>\n",
       "      <td>10714</td>\n",
       "      <td>452</td>\n",
       "      <td>a</td>\n",
       "      <td>LEM</td>\n",
       "      <td>101.78917</td>\n",
       "      <td>3.96710</td>\n",
       "      <td>0.014142</td>\n",
       "      <td>V* V508 Mon</td>\n",
       "      <td>101.789166</td>\n",
       "      <td>3.967097</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>56</td>\n",
       "      <td>06 47 09.39993</td>\n",
       "      <td>+03 58 01.5510</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>59.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1247</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>0.80</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.500</td>\n",
       "      <td>10.530</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.720</td>\n",
       "      <td>8.301</td>\n",
       "      <td>8.148</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.012465</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>3127458403130026112</td>\n",
       "      <td>4.134226</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1709.209912</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>1709.244337</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>1709.335863</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>10.207899</td>\n",
       "      <td>0.000272</td>\n",
       "      <td>10.716827</td>\n",
       "      <td>0.000585</td>\n",
       "      <td>9.532081</td>\n",
       "      <td>0.000272</td>\n",
       "      <td>0.413448</td>\n",
       "      <td>0.000920</td>\n",
       "      <td>0.480920</td>\n",
       "      <td>0.001544</td>\n",
       "      <td>0.297583</td>\n",
       "      <td>0.001028</td>\n",
       "      <td>0.036701</td>\n",
       "      <td>0.225208</td>\n",
       "      <td>0.389662</td>\n",
       "      <td>0.002769</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.691773</td>\n",
       "      <td>0.005363</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15</td>\n",
       "      <td>14</td>\n",
       "      <td>15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3133819112256378368</td>\n",
       "      <td>3133819112256378368</td>\n",
       "      <td>525451306</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>100.023257</td>\n",
       "      <td>0.055667</td>\n",
       "      <td>7.605835</td>\n",
       "      <td>0.054372</td>\n",
       "      <td>0.415125</td>\n",
       "      <td>0.048604</td>\n",
       "      <td>8.540995</td>\n",
       "      <td>-0.667840</td>\n",
       "      <td>0.098408</td>\n",
       "      <td>1.150246</td>\n",
       "      <td>0.088265</td>\n",
       "      <td>-0.550498</td>\n",
       "      <td>0.121233</td>\n",
       "      <td>-0.474824</td>\n",
       "      <td>0.593149</td>\n",
       "      <td>-0.034634</td>\n",
       "      <td>0.557429</td>\n",
       "      <td>-0.662452</td>\n",
       "      <td>0.313230</td>\n",
       "      <td>-0.097404</td>\n",
       "      <td>-0.417467</td>\n",
       "      <td>116</td>\n",
       "      <td>116</td>\n",
       "      <td>116</td>\n",
       "      <td>0</td>\n",
       "      <td>2.108103</td>\n",
       "      <td>144.66902</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>289.150850</td>\n",
       "      <td>1.454431</td>\n",
       "      <td>0.012447</td>\n",
       "      <td>-0.062229</td>\n",
       "      <td>13</td>\n",
       "      <td>10</td>\n",
       "      <td>0.078294</td>\n",
       "      <td>0</td>\n",
       "      <td>16</td>\n",
       "      <td>False</td>\n",
       "      <td>126</td>\n",
       "      <td>1.647558e+06</td>\n",
       "      <td>1.477290e+04</td>\n",
       "      <td>111.525730</td>\n",
       "      <td>10.146264</td>\n",
       "      <td>14</td>\n",
       "      <td>6.077122e+05</td>\n",
       "      <td>1.990642e+04</td>\n",
       "      <td>30.528450</td>\n",
       "      <td>10.892143</td>\n",
       "      <td>14</td>\n",
       "      <td>1.454528e+06</td>\n",
       "      <td>2.862643e+04</td>\n",
       "      <td>50.810660</td>\n",
       "      <td>9.355115</td>\n",
       "      <td>1.251695</td>\n",
       "      <td>0</td>\n",
       "      <td>1.537028</td>\n",
       "      <td>0.745879</td>\n",
       "      <td>0.791149</td>\n",
       "      <td>55.546423</td>\n",
       "      <td>9.282690</td>\n",
       "      <td>2</td>\n",
       "      <td>4750.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>204.873650</td>\n",
       "      <td>0.957030</td>\n",
       "      <td>100.311911</td>\n",
       "      <td>-15.475369</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4275.1533</td>\n",
       "      <td>4165.4136</td>\n",
       "      <td>4477.3633</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>42.233078</td>\n",
       "      <td>38.504498</td>\n",
       "      <td>44.487690</td>\n",
       "      <td>536.793100</td>\n",
       "      <td>449.65690</td>\n",
       "      <td>623.929300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>8</td>\n",
       "      <td>BE Mon</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.4322</td>\n",
       "      <td>8.256</td>\n",
       "      <td>7.854</td>\n",
       "      <td>7.676</td>\n",
       "      <td>-0.07</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.09</td>\n",
       "      <td>1.0</td>\n",
       "      <td>11.28</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9609</td>\n",
       "      <td>452</td>\n",
       "      <td>a</td>\n",
       "      <td>LEM</td>\n",
       "      <td>100.02326</td>\n",
       "      <td>7.60583</td>\n",
       "      <td>0.021099</td>\n",
       "      <td>V* BE Mon</td>\n",
       "      <td>100.023260</td>\n",
       "      <td>7.605830</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>66</td>\n",
       "      <td>06 40 05.58233</td>\n",
       "      <td>+07 36 20.9879</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>45.300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4151</td>\n",
       "      <td>-0.67</td>\n",
       "      <td>1.15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.600</td>\n",
       "      <td>10.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.174</td>\n",
       "      <td>7.842</td>\n",
       "      <td>7.659</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.020616</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>3133819112256378368</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.704666</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1712.245165</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1747.362596</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1747.623029</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>10.133045</td>\n",
       "      <td>0.000462</td>\n",
       "      <td>10.860105</td>\n",
       "      <td>0.000650</td>\n",
       "      <td>9.350548</td>\n",
       "      <td>0.002148</td>\n",
       "      <td>0.479948</td>\n",
       "      <td>0.001620</td>\n",
       "      <td>0.670629</td>\n",
       "      <td>0.007916</td>\n",
       "      <td>0.280869</td>\n",
       "      <td>0.017411</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.253140</td>\n",
       "      <td>0.001508</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.636269</td>\n",
       "      <td>0.009972</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13</td>\n",
       "      <td>12</td>\n",
       "      <td>12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3330259852538068608</td>\n",
       "      <td>3330259852538068608</td>\n",
       "      <td>1022754344</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>91.856108</td>\n",
       "      <td>0.044570</td>\n",
       "      <td>11.151976</td>\n",
       "      <td>0.042808</td>\n",
       "      <td>0.258268</td>\n",
       "      <td>0.046237</td>\n",
       "      <td>5.585749</td>\n",
       "      <td>0.759802</td>\n",
       "      <td>0.086492</td>\n",
       "      <td>0.078453</td>\n",
       "      <td>0.073984</td>\n",
       "      <td>-0.304502</td>\n",
       "      <td>-0.109619</td>\n",
       "      <td>-0.376005</td>\n",
       "      <td>0.429484</td>\n",
       "      <td>-0.125715</td>\n",
       "      <td>0.389858</td>\n",
       "      <td>-0.514798</td>\n",
       "      <td>0.304966</td>\n",
       "      <td>0.026777</td>\n",
       "      <td>-0.319968</td>\n",
       "      <td>119</td>\n",
       "      <td>119</td>\n",
       "      <td>115</td>\n",
       "      <td>4</td>\n",
       "      <td>4.838814</td>\n",
       "      <td>197.52570</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>484.417500</td>\n",
       "      <td>1.497451</td>\n",
       "      <td>0.012916</td>\n",
       "      <td>-0.077061</td>\n",
       "      <td>14</td>\n",
       "      <td>10</td>\n",
       "      <td>0.062521</td>\n",
       "      <td>0</td>\n",
       "      <td>17</td>\n",
       "      <td>False</td>\n",
       "      <td>128</td>\n",
       "      <td>6.026348e+05</td>\n",
       "      <td>9.595965e+03</td>\n",
       "      <td>62.800858</td>\n",
       "      <td>11.238230</td>\n",
       "      <td>13</td>\n",
       "      <td>2.651036e+05</td>\n",
       "      <td>2.041280e+04</td>\n",
       "      <td>12.987128</td>\n",
       "      <td>11.792850</td>\n",
       "      <td>12</td>\n",
       "      <td>5.301419e+05</td>\n",
       "      <td>2.262595e+04</td>\n",
       "      <td>23.430704</td>\n",
       "      <td>10.450939</td>\n",
       "      <td>1.319614</td>\n",
       "      <td>0</td>\n",
       "      <td>1.341910</td>\n",
       "      <td>0.554620</td>\n",
       "      <td>0.787291</td>\n",
       "      <td>48.092421</td>\n",
       "      <td>5.370854</td>\n",
       "      <td>4</td>\n",
       "      <td>5250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>197.961536</td>\n",
       "      <td>-4.500560</td>\n",
       "      <td>91.863687</td>\n",
       "      <td>-12.275297</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4633.8700</td>\n",
       "      <td>3763.6667</td>\n",
       "      <td>4906.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>32.391502</td>\n",
       "      <td>28.897728</td>\n",
       "      <td>49.101692</td>\n",
       "      <td>435.845250</td>\n",
       "      <td>326.16034</td>\n",
       "      <td>545.530150</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>19</td>\n",
       "      <td>CS Ori</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5899</td>\n",
       "      <td>9.331</td>\n",
       "      <td>8.954</td>\n",
       "      <td>8.790</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>0.06</td>\n",
       "      <td>1.0</td>\n",
       "      <td>12.96</td>\n",
       "      <td>0.05</td>\n",
       "      <td>11701</td>\n",
       "      <td>458</td>\n",
       "      <td>a</td>\n",
       "      <td>LEM</td>\n",
       "      <td>91.85611</td>\n",
       "      <td>11.15198</td>\n",
       "      <td>0.014358</td>\n",
       "      <td>V* CS Ori</td>\n",
       "      <td>91.856105</td>\n",
       "      <td>11.151976</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>62</td>\n",
       "      <td>06 07 25.46520</td>\n",
       "      <td>+11 09 07.1137</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>15.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2583</td>\n",
       "      <td>0.76</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.960</td>\n",
       "      <td>11.290</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.574</td>\n",
       "      <td>9.081</td>\n",
       "      <td>8.938</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.011840</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>3330259852538068608</td>\n",
       "      <td>2.671489</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1711.792684</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>1711.612231</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>1711.698727</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>11.075409</td>\n",
       "      <td>0.000267</td>\n",
       "      <td>11.640805</td>\n",
       "      <td>0.000465</td>\n",
       "      <td>10.365324</td>\n",
       "      <td>0.000289</td>\n",
       "      <td>0.714591</td>\n",
       "      <td>0.001169</td>\n",
       "      <td>0.814482</td>\n",
       "      <td>0.001472</td>\n",
       "      <td>0.487843</td>\n",
       "      <td>0.001062</td>\n",
       "      <td>0.079531</td>\n",
       "      <td>0.219843</td>\n",
       "      <td>0.368568</td>\n",
       "      <td>0.002236</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.832707</td>\n",
       "      <td>0.007740</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14</td>\n",
       "      <td>12</td>\n",
       "      <td>12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3356119713188276096</td>\n",
       "      <td>3356119713188276096</td>\n",
       "      <td>1199461480</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>98.477542</td>\n",
       "      <td>0.044484</td>\n",
       "      <td>14.471379</td>\n",
       "      <td>0.037641</td>\n",
       "      <td>0.193317</td>\n",
       "      <td>0.044549</td>\n",
       "      <td>4.339382</td>\n",
       "      <td>-0.152676</td>\n",
       "      <td>0.080497</td>\n",
       "      <td>-2.953093</td>\n",
       "      <td>0.069044</td>\n",
       "      <td>-0.077346</td>\n",
       "      <td>0.329315</td>\n",
       "      <td>-0.151098</td>\n",
       "      <td>0.349426</td>\n",
       "      <td>-0.064305</td>\n",
       "      <td>0.303177</td>\n",
       "      <td>-0.357060</td>\n",
       "      <td>0.271323</td>\n",
       "      <td>0.140147</td>\n",
       "      <td>-0.082573</td>\n",
       "      <td>142</td>\n",
       "      <td>142</td>\n",
       "      <td>141</td>\n",
       "      <td>1</td>\n",
       "      <td>5.807553</td>\n",
       "      <td>255.01018</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>250.143020</td>\n",
       "      <td>1.517728</td>\n",
       "      <td>0.010213</td>\n",
       "      <td>0.047392</td>\n",
       "      <td>16</td>\n",
       "      <td>10</td>\n",
       "      <td>0.052625</td>\n",
       "      <td>0</td>\n",
       "      <td>17</td>\n",
       "      <td>False</td>\n",
       "      <td>141</td>\n",
       "      <td>1.296795e+06</td>\n",
       "      <td>8.896630e+03</td>\n",
       "      <td>145.762440</td>\n",
       "      <td>10.406188</td>\n",
       "      <td>14</td>\n",
       "      <td>5.396622e+05</td>\n",
       "      <td>1.560776e+04</td>\n",
       "      <td>34.576523</td>\n",
       "      <td>11.021083</td>\n",
       "      <td>15</td>\n",
       "      <td>1.068623e+06</td>\n",
       "      <td>1.806881e+04</td>\n",
       "      <td>59.141838</td>\n",
       "      <td>9.689858</td>\n",
       "      <td>1.240200</td>\n",
       "      <td>0</td>\n",
       "      <td>1.331224</td>\n",
       "      <td>0.614895</td>\n",
       "      <td>0.716330</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>198.073250</td>\n",
       "      <td>2.757383</td>\n",
       "      <td>98.303431</td>\n",
       "      <td>-8.723879</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4678.7020</td>\n",
       "      <td>4576.9050</td>\n",
       "      <td>4812.5024</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>6</td>\n",
       "      <td>DX Gem</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.4966</td>\n",
       "      <td>8.759</td>\n",
       "      <td>8.336</td>\n",
       "      <td>8.207</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>0.09</td>\n",
       "      <td>1.0</td>\n",
       "      <td>12.78</td>\n",
       "      <td>0.09</td>\n",
       "      <td>11407</td>\n",
       "      <td>473</td>\n",
       "      <td>c*</td>\n",
       "      <td>LIII</td>\n",
       "      <td>98.47755</td>\n",
       "      <td>14.47139</td>\n",
       "      <td>0.048371</td>\n",
       "      <td>V* DX Gem</td>\n",
       "      <td>98.477542</td>\n",
       "      <td>14.471392</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>81</td>\n",
       "      <td>06 33 54.61017</td>\n",
       "      <td>+14 28 17.0110</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>16.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1933</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-2.95</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.240</td>\n",
       "      <td>10.730</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.759</td>\n",
       "      <td>8.336</td>\n",
       "      <td>8.207</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.045834</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>3356119713188276096</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.136320</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1710.117014</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1710.146155</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1710.176169</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>10.385481</td>\n",
       "      <td>0.000156</td>\n",
       "      <td>10.978445</td>\n",
       "      <td>0.001351</td>\n",
       "      <td>9.673114</td>\n",
       "      <td>0.000931</td>\n",
       "      <td>0.262452</td>\n",
       "      <td>0.000431</td>\n",
       "      <td>0.346236</td>\n",
       "      <td>0.002575</td>\n",
       "      <td>0.202133</td>\n",
       "      <td>0.001078</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.082072</td>\n",
       "      <td>0.001821</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.515370</td>\n",
       "      <td>0.028280</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>16</td>\n",
       "      <td>14</td>\n",
       "      <td>14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3378049163365268608</td>\n",
       "      <td>3378049163365268608</td>\n",
       "      <td>1650758151</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>100.781296</td>\n",
       "      <td>0.045514</td>\n",
       "      <td>20.939106</td>\n",
       "      <td>0.048315</td>\n",
       "      <td>0.090677</td>\n",
       "      <td>0.060071</td>\n",
       "      <td>1.509490</td>\n",
       "      <td>-0.485188</td>\n",
       "      <td>0.080452</td>\n",
       "      <td>-1.274075</td>\n",
       "      <td>0.067162</td>\n",
       "      <td>-0.398742</td>\n",
       "      <td>0.321357</td>\n",
       "      <td>-0.268799</td>\n",
       "      <td>0.263833</td>\n",
       "      <td>-0.626090</td>\n",
       "      <td>-0.114470</td>\n",
       "      <td>-0.527359</td>\n",
       "      <td>0.401834</td>\n",
       "      <td>0.265664</td>\n",
       "      <td>-0.027726</td>\n",
       "      <td>151</td>\n",
       "      <td>151</td>\n",
       "      <td>149</td>\n",
       "      <td>2</td>\n",
       "      <td>5.947554</td>\n",
       "      <td>269.33890</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>285.137020</td>\n",
       "      <td>1.579566</td>\n",
       "      <td>0.011050</td>\n",
       "      <td>-0.158967</td>\n",
       "      <td>18</td>\n",
       "      <td>10</td>\n",
       "      <td>0.049973</td>\n",
       "      <td>0</td>\n",
       "      <td>18</td>\n",
       "      <td>False</td>\n",
       "      <td>156</td>\n",
       "      <td>2.528705e+06</td>\n",
       "      <td>3.664852e+04</td>\n",
       "      <td>68.998825</td>\n",
       "      <td>9.681120</td>\n",
       "      <td>18</td>\n",
       "      <td>1.205400e+06</td>\n",
       "      <td>6.023149e+04</td>\n",
       "      <td>20.012781</td>\n",
       "      <td>10.148561</td>\n",
       "      <td>18</td>\n",
       "      <td>1.765859e+06</td>\n",
       "      <td>5.245641e+04</td>\n",
       "      <td>33.663357</td>\n",
       "      <td>9.144530</td>\n",
       "      <td>1.175012</td>\n",
       "      <td>0</td>\n",
       "      <td>1.004030</td>\n",
       "      <td>0.467441</td>\n",
       "      <td>0.536590</td>\n",
       "      <td>57.281902</td>\n",
       "      <td>11.546666</td>\n",
       "      <td>2</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>193.269092</td>\n",
       "      <td>7.632289</td>\n",
       "      <td>100.068631</td>\n",
       "      <td>-2.124137</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5289.3950</td>\n",
       "      <td>5138.6665</td>\n",
       "      <td>5461.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>4</td>\n",
       "      <td>AD Gem</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5784</td>\n",
       "      <td>8.448</td>\n",
       "      <td>8.151</td>\n",
       "      <td>8.027</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>0.06</td>\n",
       "      <td>1.0</td>\n",
       "      <td>12.24</td>\n",
       "      <td>0.05</td>\n",
       "      <td>10662</td>\n",
       "      <td>455</td>\n",
       "      <td>a</td>\n",
       "      <td>LEM</td>\n",
       "      <td>100.78130</td>\n",
       "      <td>20.93912</td>\n",
       "      <td>0.051373</td>\n",
       "      <td>V* AD Gem</td>\n",
       "      <td>100.781299</td>\n",
       "      <td>20.939112</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>82</td>\n",
       "      <td>06 43 07.51169</td>\n",
       "      <td>+20 56 20.8018</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |*  |IR</td>\n",
       "      <td>45.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0907</td>\n",
       "      <td>-0.49</td>\n",
       "      <td>-1.27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.420</td>\n",
       "      <td>9.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.354</td>\n",
       "      <td>8.071</td>\n",
       "      <td>7.960</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.021132</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>3378049163365268608</td>\n",
       "      <td>1.895002</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1711.917938</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>1711.904891</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>1711.836442</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>9.698205</td>\n",
       "      <td>0.000943</td>\n",
       "      <td>10.102971</td>\n",
       "      <td>0.001909</td>\n",
       "      <td>9.216655</td>\n",
       "      <td>0.001185</td>\n",
       "      <td>0.752416</td>\n",
       "      <td>0.002277</td>\n",
       "      <td>0.864819</td>\n",
       "      <td>0.005621</td>\n",
       "      <td>0.831465</td>\n",
       "      <td>0.004136</td>\n",
       "      <td>-0.630885</td>\n",
       "      <td>0.219767</td>\n",
       "      <td>0.585415</td>\n",
       "      <td>0.001354</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.513908</td>\n",
       "      <td>0.007866</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>16</td>\n",
       "      <td>15</td>\n",
       "      <td>16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4056026175045038464</td>\n",
       "      <td>4056026175045038464</td>\n",
       "      <td>470182831</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>267.156263</td>\n",
       "      <td>0.059436</td>\n",
       "      <td>-30.475968</td>\n",
       "      <td>0.051377</td>\n",
       "      <td>0.697251</td>\n",
       "      <td>0.064157</td>\n",
       "      <td>10.867847</td>\n",
       "      <td>1.982707</td>\n",
       "      <td>0.107706</td>\n",
       "      <td>-1.479345</td>\n",
       "      <td>0.083884</td>\n",
       "      <td>0.358470</td>\n",
       "      <td>-0.240995</td>\n",
       "      <td>-0.319904</td>\n",
       "      <td>-0.347534</td>\n",
       "      <td>-0.348437</td>\n",
       "      <td>-0.193819</td>\n",
       "      <td>-0.530985</td>\n",
       "      <td>-0.247060</td>\n",
       "      <td>0.279546</td>\n",
       "      <td>0.185662</td>\n",
       "      <td>128</td>\n",
       "      <td>128</td>\n",
       "      <td>128</td>\n",
       "      <td>0</td>\n",
       "      <td>5.892739</td>\n",
       "      <td>239.46541</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>152.361720</td>\n",
       "      <td>1.447408</td>\n",
       "      <td>0.014772</td>\n",
       "      <td>0.104718</td>\n",
       "      <td>15</td>\n",
       "      <td>11</td>\n",
       "      <td>0.066531</td>\n",
       "      <td>0</td>\n",
       "      <td>15</td>\n",
       "      <td>False</td>\n",
       "      <td>131</td>\n",
       "      <td>8.957639e+06</td>\n",
       "      <td>1.095727e+05</td>\n",
       "      <td>81.750626</td>\n",
       "      <td>8.307881</td>\n",
       "      <td>14</td>\n",
       "      <td>3.127370e+06</td>\n",
       "      <td>1.664024e+05</td>\n",
       "      <td>18.794024</td>\n",
       "      <td>9.113440</td>\n",
       "      <td>14</td>\n",
       "      <td>9.028376e+06</td>\n",
       "      <td>3.123240e+05</td>\n",
       "      <td>28.907085</td>\n",
       "      <td>7.372896</td>\n",
       "      <td>1.357026</td>\n",
       "      <td>0</td>\n",
       "      <td>1.740544</td>\n",
       "      <td>0.805558</td>\n",
       "      <td>0.934986</td>\n",
       "      <td>-9.888684</td>\n",
       "      <td>6.734073</td>\n",
       "      <td>7</td>\n",
       "      <td>4250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>359.021154</td>\n",
       "      <td>-1.356007</td>\n",
       "      <td>267.530681</td>\n",
       "      <td>-7.061059</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4117.7803</td>\n",
       "      <td>3847.5898</td>\n",
       "      <td>4250.1500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>66.018456</td>\n",
       "      <td>61.970245</td>\n",
       "      <td>75.616080</td>\n",
       "      <td>1128.958900</td>\n",
       "      <td>993.57960</td>\n",
       "      <td>1264.338100</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>33</td>\n",
       "      <td>V500 Sco</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.9693</td>\n",
       "      <td>6.041</td>\n",
       "      <td>5.532</td>\n",
       "      <td>5.330</td>\n",
       "      <td>0.01</td>\n",
       "      <td>-0.07</td>\n",
       "      <td>0.08</td>\n",
       "      <td>4.0</td>\n",
       "      <td>10.65</td>\n",
       "      <td>0.05</td>\n",
       "      <td>6590</td>\n",
       "      <td>453</td>\n",
       "      <td>b</td>\n",
       "      <td>LII</td>\n",
       "      <td>267.15626</td>\n",
       "      <td>-30.47596</td>\n",
       "      <td>0.029315</td>\n",
       "      <td>V* V500 Sco</td>\n",
       "      <td>267.156253</td>\n",
       "      <td>-30.475961</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104</td>\n",
       "      <td>17 48 37.50079</td>\n",
       "      <td>-30 28 33.4607</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-7.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>K0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.6973</td>\n",
       "      <td>1.98</td>\n",
       "      <td>-1.48</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.070</td>\n",
       "      <td>8.810</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.188</td>\n",
       "      <td>5.628</td>\n",
       "      <td>5.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.038344</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4056026175045038464</td>\n",
       "      <td>175.641975</td>\n",
       "      <td>0.097717</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1350.588074</td>\n",
       "      <td>0.138193</td>\n",
       "      <td>1320.001562</td>\n",
       "      <td>0.138193</td>\n",
       "      <td>1343.369822</td>\n",
       "      <td>0.138193</td>\n",
       "      <td>8.244860</td>\n",
       "      <td>0.000520</td>\n",
       "      <td>9.078942</td>\n",
       "      <td>0.002056</td>\n",
       "      <td>7.430071</td>\n",
       "      <td>0.001154</td>\n",
       "      <td>0.434642</td>\n",
       "      <td>0.000807</td>\n",
       "      <td>0.561396</td>\n",
       "      <td>0.001225</td>\n",
       "      <td>0.447458</td>\n",
       "      <td>0.001909</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15</td>\n",
       "      <td>13</td>\n",
       "      <td>14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>RV_TAU</td>\n",
       "      <td>NOT_APPLICABLE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4094784475310672128</td>\n",
       "      <td>4094784475310672128</td>\n",
       "      <td>956473763</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>274.248821</td>\n",
       "      <td>0.056500</td>\n",
       "      <td>-19.075831</td>\n",
       "      <td>0.060163</td>\n",
       "      <td>0.513103</td>\n",
       "      <td>0.077341</td>\n",
       "      <td>6.634322</td>\n",
       "      <td>1.144533</td>\n",
       "      <td>0.111874</td>\n",
       "      <td>-0.244773</td>\n",
       "      <td>0.088711</td>\n",
       "      <td>-0.075589</td>\n",
       "      <td>-0.029952</td>\n",
       "      <td>-0.359109</td>\n",
       "      <td>-0.027558</td>\n",
       "      <td>-0.600227</td>\n",
       "      <td>0.286718</td>\n",
       "      <td>-0.588284</td>\n",
       "      <td>-0.502533</td>\n",
       "      <td>0.403551</td>\n",
       "      <td>-0.254740</td>\n",
       "      <td>125</td>\n",
       "      <td>125</td>\n",
       "      <td>123</td>\n",
       "      <td>2</td>\n",
       "      <td>3.516376</td>\n",
       "      <td>179.79796</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>85.912290</td>\n",
       "      <td>1.416756</td>\n",
       "      <td>0.014053</td>\n",
       "      <td>-0.062024</td>\n",
       "      <td>14</td>\n",
       "      <td>10</td>\n",
       "      <td>0.071387</td>\n",
       "      <td>0</td>\n",
       "      <td>17</td>\n",
       "      <td>False</td>\n",
       "      <td>130</td>\n",
       "      <td>1.638256e+07</td>\n",
       "      <td>2.991041e+05</td>\n",
       "      <td>54.772110</td>\n",
       "      <td>7.652411</td>\n",
       "      <td>15</td>\n",
       "      <td>5.145819e+06</td>\n",
       "      <td>2.989315e+05</td>\n",
       "      <td>17.214040</td>\n",
       "      <td>8.572752</td>\n",
       "      <td>15</td>\n",
       "      <td>1.598697e+07</td>\n",
       "      <td>7.963224e+05</td>\n",
       "      <td>20.076000</td>\n",
       "      <td>6.752505</td>\n",
       "      <td>1.289956</td>\n",
       "      <td>0</td>\n",
       "      <td>1.820247</td>\n",
       "      <td>0.920341</td>\n",
       "      <td>0.899906</td>\n",
       "      <td>7.669087</td>\n",
       "      <td>9.951633</td>\n",
       "      <td>9</td>\n",
       "      <td>4500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>12.109011</td>\n",
       "      <td>-1.323249</td>\n",
       "      <td>274.026500</td>\n",
       "      <td>4.304083</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4100.0450</td>\n",
       "      <td>3990.7600</td>\n",
       "      <td>4229.0400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>123.034620</td>\n",
       "      <td>115.643430</td>\n",
       "      <td>129.865370</td>\n",
       "      <td>3853.930200</td>\n",
       "      <td>3123.95500</td>\n",
       "      <td>4583.905300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>40</td>\n",
       "      <td>WZ Sgr</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.3394</td>\n",
       "      <td>5.255</td>\n",
       "      <td>4.752</td>\n",
       "      <td>4.536</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.28</td>\n",
       "      <td>0.08</td>\n",
       "      <td>5.0</td>\n",
       "      <td>11.10</td>\n",
       "      <td>0.05</td>\n",
       "      <td>6326</td>\n",
       "      <td>453</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>274.24882</td>\n",
       "      <td>-19.07582</td>\n",
       "      <td>0.041201</td>\n",
       "      <td>V* WZ Sgr</td>\n",
       "      <td>274.248816</td>\n",
       "      <td>-19.075830</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>215</td>\n",
       "      <td>18 16 59.71589</td>\n",
       "      <td>-19 04 32.9891</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-18.100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7(III)</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.5131</td>\n",
       "      <td>0.89</td>\n",
       "      <td>2.25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.100</td>\n",
       "      <td>7.450</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.573</td>\n",
       "      <td>5.054</td>\n",
       "      <td>4.781</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.018141</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4094784475310672128</td>\n",
       "      <td>21.834096</td>\n",
       "      <td>0.001353</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1659.045640</td>\n",
       "      <td>0.001913</td>\n",
       "      <td>1660.488787</td>\n",
       "      <td>0.001913</td>\n",
       "      <td>1659.631458</td>\n",
       "      <td>0.001913</td>\n",
       "      <td>7.483730</td>\n",
       "      <td>0.000867</td>\n",
       "      <td>8.426661</td>\n",
       "      <td>0.004637</td>\n",
       "      <td>6.625296</td>\n",
       "      <td>0.000678</td>\n",
       "      <td>0.802306</td>\n",
       "      <td>0.001510</td>\n",
       "      <td>0.710946</td>\n",
       "      <td>0.010776</td>\n",
       "      <td>0.645790</td>\n",
       "      <td>0.001784</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.251592</td>\n",
       "      <td>0.002520</td>\n",
       "      <td>0.059087</td>\n",
       "      <td>0.001543</td>\n",
       "      <td>4.735588</td>\n",
       "      <td>0.005631</td>\n",
       "      <td>2.236138</td>\n",
       "      <td>0.037355</td>\n",
       "      <td>15</td>\n",
       "      <td>14</td>\n",
       "      <td>15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4096979650282842112</td>\n",
       "      <td>4096979650282842112</td>\n",
       "      <td>1302231798</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>276.185419</td>\n",
       "      <td>0.049278</td>\n",
       "      <td>-16.797174</td>\n",
       "      <td>0.045807</td>\n",
       "      <td>0.702227</td>\n",
       "      <td>0.058590</td>\n",
       "      <td>11.985346</td>\n",
       "      <td>-0.057188</td>\n",
       "      <td>0.096007</td>\n",
       "      <td>-0.383981</td>\n",
       "      <td>0.085507</td>\n",
       "      <td>0.119653</td>\n",
       "      <td>-0.285405</td>\n",
       "      <td>-0.163267</td>\n",
       "      <td>0.014999</td>\n",
       "      <td>-0.443224</td>\n",
       "      <td>0.147717</td>\n",
       "      <td>-0.296959</td>\n",
       "      <td>-0.175709</td>\n",
       "      <td>0.214681</td>\n",
       "      <td>0.067221</td>\n",
       "      <td>124</td>\n",
       "      <td>124</td>\n",
       "      <td>122</td>\n",
       "      <td>2</td>\n",
       "      <td>2.963149</td>\n",
       "      <td>167.58440</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>185.430920</td>\n",
       "      <td>1.451032</td>\n",
       "      <td>0.013044</td>\n",
       "      <td>0.022258</td>\n",
       "      <td>14</td>\n",
       "      <td>10</td>\n",
       "      <td>0.056567</td>\n",
       "      <td>0</td>\n",
       "      <td>18</td>\n",
       "      <td>False</td>\n",
       "      <td>139</td>\n",
       "      <td>7.381626e+06</td>\n",
       "      <td>1.036578e+05</td>\n",
       "      <td>71.211490</td>\n",
       "      <td>8.517985</td>\n",
       "      <td>16</td>\n",
       "      <td>2.815499e+06</td>\n",
       "      <td>1.860787e+05</td>\n",
       "      <td>15.130686</td>\n",
       "      <td>9.227500</td>\n",
       "      <td>16</td>\n",
       "      <td>6.831717e+06</td>\n",
       "      <td>2.461781e+05</td>\n",
       "      <td>27.751118</td>\n",
       "      <td>7.675595</td>\n",
       "      <td>1.306923</td>\n",
       "      <td>0</td>\n",
       "      <td>1.551905</td>\n",
       "      <td>0.709515</td>\n",
       "      <td>0.842390</td>\n",
       "      <td>4.032155</td>\n",
       "      <td>5.979935</td>\n",
       "      <td>6</td>\n",
       "      <td>4500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>14.987641</td>\n",
       "      <td>-1.876778</td>\n",
       "      <td>275.959173</td>\n",
       "      <td>6.514246</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4328.0000</td>\n",
       "      <td>4244.7500</td>\n",
       "      <td>4728.2700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>50.890106</td>\n",
       "      <td>42.638638</td>\n",
       "      <td>52.905840</td>\n",
       "      <td>818.672900</td>\n",
       "      <td>727.61700</td>\n",
       "      <td>909.728800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>41</td>\n",
       "      <td>XX Sgr</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.8078</td>\n",
       "      <td>6.436</td>\n",
       "      <td>5.967</td>\n",
       "      <td>5.747</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>0.06</td>\n",
       "      <td>5.0</td>\n",
       "      <td>10.55</td>\n",
       "      <td>0.07</td>\n",
       "      <td>6706</td>\n",
       "      <td>453</td>\n",
       "      <td>c</td>\n",
       "      <td>LII</td>\n",
       "      <td>276.18543</td>\n",
       "      <td>-16.79718</td>\n",
       "      <td>0.042759</td>\n",
       "      <td>V* XX Sgr</td>\n",
       "      <td>276.185420</td>\n",
       "      <td>-16.797172</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>92</td>\n",
       "      <td>18 24 44.50073</td>\n",
       "      <td>-16 47 49.8196</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|Em*|V* |*  |IR |SB*</td>\n",
       "      <td>2.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7/8II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.7022</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.590</td>\n",
       "      <td>8.410</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.462</td>\n",
       "      <td>5.943</td>\n",
       "      <td>5.718</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.006017</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4096979650282842112</td>\n",
       "      <td>12.729174</td>\n",
       "      <td>0.000179</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1682.087632</td>\n",
       "      <td>0.000254</td>\n",
       "      <td>1682.226853</td>\n",
       "      <td>0.000254</td>\n",
       "      <td>1682.485679</td>\n",
       "      <td>0.000254</td>\n",
       "      <td>8.411258</td>\n",
       "      <td>0.000262</td>\n",
       "      <td>9.075621</td>\n",
       "      <td>0.000471</td>\n",
       "      <td>7.586238</td>\n",
       "      <td>0.000354</td>\n",
       "      <td>0.542770</td>\n",
       "      <td>0.000602</td>\n",
       "      <td>0.810764</td>\n",
       "      <td>0.001429</td>\n",
       "      <td>0.484708</td>\n",
       "      <td>0.001024</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>16</td>\n",
       "      <td>15</td>\n",
       "      <td>15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4253435825622331392</td>\n",
       "      <td>4253435825622331392</td>\n",
       "      <td>1589775356</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>280.738640</td>\n",
       "      <td>0.043136</td>\n",
       "      <td>-5.820912</td>\n",
       "      <td>0.042257</td>\n",
       "      <td>0.410166</td>\n",
       "      <td>0.045753</td>\n",
       "      <td>8.964783</td>\n",
       "      <td>-0.418910</td>\n",
       "      <td>0.084638</td>\n",
       "      <td>-2.190966</td>\n",
       "      <td>0.073711</td>\n",
       "      <td>0.117532</td>\n",
       "      <td>0.043280</td>\n",
       "      <td>-0.312938</td>\n",
       "      <td>-0.304299</td>\n",
       "      <td>-0.117206</td>\n",
       "      <td>-0.281126</td>\n",
       "      <td>-0.407730</td>\n",
       "      <td>-0.223628</td>\n",
       "      <td>-0.088532</td>\n",
       "      <td>0.066299</td>\n",
       "      <td>141</td>\n",
       "      <td>141</td>\n",
       "      <td>138</td>\n",
       "      <td>3</td>\n",
       "      <td>0.995202</td>\n",
       "      <td>149.17964</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>224.076840</td>\n",
       "      <td>1.451523</td>\n",
       "      <td>0.011479</td>\n",
       "      <td>0.008126</td>\n",
       "      <td>16</td>\n",
       "      <td>9</td>\n",
       "      <td>0.055854</td>\n",
       "      <td>0</td>\n",
       "      <td>18</td>\n",
       "      <td>False</td>\n",
       "      <td>141</td>\n",
       "      <td>3.672005e+06</td>\n",
       "      <td>4.828091e+04</td>\n",
       "      <td>76.055010</td>\n",
       "      <td>9.276108</td>\n",
       "      <td>15</td>\n",
       "      <td>1.198526e+06</td>\n",
       "      <td>6.599334e+04</td>\n",
       "      <td>18.161325</td>\n",
       "      <td>10.154769</td>\n",
       "      <td>17</td>\n",
       "      <td>3.469135e+06</td>\n",
       "      <td>1.140610e+05</td>\n",
       "      <td>30.414722</td>\n",
       "      <td>8.411367</td>\n",
       "      <td>1.271148</td>\n",
       "      <td>0</td>\n",
       "      <td>1.743402</td>\n",
       "      <td>0.878661</td>\n",
       "      <td>0.864740</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>26.786086</td>\n",
       "      <td>-0.772340</td>\n",
       "      <td>281.189184</td>\n",
       "      <td>17.202230</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4057.7334</td>\n",
       "      <td>3965.5076</td>\n",
       "      <td>4296.6553</td>\n",
       "      <td>0.7520</td>\n",
       "      <td>0.3420</td>\n",
       "      <td>1.5369</td>\n",
       "      <td>0.3670</td>\n",
       "      <td>0.1663</td>\n",
       "      <td>0.8371</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>75.384350</td>\n",
       "      <td>67.233730</td>\n",
       "      <td>78.931560</td>\n",
       "      <td>1388.005400</td>\n",
       "      <td>1169.41030</td>\n",
       "      <td>1606.600500</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>37</td>\n",
       "      <td>Z Sct</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1106</td>\n",
       "      <td>6.949</td>\n",
       "      <td>6.477</td>\n",
       "      <td>6.263</td>\n",
       "      <td>0.33</td>\n",
       "      <td>0.12</td>\n",
       "      <td>0.09</td>\n",
       "      <td>5.0</td>\n",
       "      <td>12.08</td>\n",
       "      <td>0.05</td>\n",
       "      <td>5733</td>\n",
       "      <td>445</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>280.73864</td>\n",
       "      <td>-5.82090</td>\n",
       "      <td>0.044910</td>\n",
       "      <td>V* Z Sct</td>\n",
       "      <td>280.738641</td>\n",
       "      <td>-5.820903</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>100</td>\n",
       "      <td>18 42 57.27392</td>\n",
       "      <td>-05 49 15.2509</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>27.900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0-M0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4102</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-2.19</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.890</td>\n",
       "      <td>9.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.166</td>\n",
       "      <td>6.678</td>\n",
       "      <td>6.460</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.034575</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4253435825622331392</td>\n",
       "      <td>12.910581</td>\n",
       "      <td>0.000142</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1681.476257</td>\n",
       "      <td>0.000201</td>\n",
       "      <td>1693.679740</td>\n",
       "      <td>0.000201</td>\n",
       "      <td>1723.251980</td>\n",
       "      <td>0.000201</td>\n",
       "      <td>9.095620</td>\n",
       "      <td>0.000263</td>\n",
       "      <td>9.919589</td>\n",
       "      <td>0.000656</td>\n",
       "      <td>8.353584</td>\n",
       "      <td>0.001399</td>\n",
       "      <td>0.623319</td>\n",
       "      <td>0.000919</td>\n",
       "      <td>0.768230</td>\n",
       "      <td>0.001538</td>\n",
       "      <td>0.347170</td>\n",
       "      <td>0.001559</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.139545</td>\n",
       "      <td>0.001900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.352414</td>\n",
       "      <td>0.007026</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>16</td>\n",
       "      <td>14</td>\n",
       "      <td>14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5596601154188852352</td>\n",
       "      <td>5596601154188852352</td>\n",
       "      <td>1689782959</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>121.589471</td>\n",
       "      <td>0.018498</td>\n",
       "      <td>-30.096871</td>\n",
       "      <td>0.023163</td>\n",
       "      <td>0.150709</td>\n",
       "      <td>0.028482</td>\n",
       "      <td>5.291459</td>\n",
       "      <td>-1.480622</td>\n",
       "      <td>0.040671</td>\n",
       "      <td>2.172698</td>\n",
       "      <td>0.048335</td>\n",
       "      <td>0.195252</td>\n",
       "      <td>-0.001490</td>\n",
       "      <td>-0.231479</td>\n",
       "      <td>0.030188</td>\n",
       "      <td>0.221873</td>\n",
       "      <td>0.064804</td>\n",
       "      <td>-0.127849</td>\n",
       "      <td>0.118496</td>\n",
       "      <td>-0.167620</td>\n",
       "      <td>0.212059</td>\n",
       "      <td>301</td>\n",
       "      <td>301</td>\n",
       "      <td>295</td>\n",
       "      <td>6</td>\n",
       "      <td>6.938499</td>\n",
       "      <td>490.30447</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>271.806760</td>\n",
       "      <td>1.464472</td>\n",
       "      <td>0.006100</td>\n",
       "      <td>0.014973</td>\n",
       "      <td>34</td>\n",
       "      <td>17</td>\n",
       "      <td>0.036091</td>\n",
       "      <td>0</td>\n",
       "      <td>38</td>\n",
       "      <td>False</td>\n",
       "      <td>319</td>\n",
       "      <td>2.722812e+06</td>\n",
       "      <td>3.609241e+04</td>\n",
       "      <td>75.439995</td>\n",
       "      <td>9.600822</td>\n",
       "      <td>36</td>\n",
       "      <td>1.002976e+06</td>\n",
       "      <td>5.474009e+04</td>\n",
       "      <td>18.322512</td>\n",
       "      <td>10.348162</td>\n",
       "      <td>35</td>\n",
       "      <td>2.415743e+06</td>\n",
       "      <td>7.926660e+04</td>\n",
       "      <td>30.476181</td>\n",
       "      <td>8.804293</td>\n",
       "      <td>1.255584</td>\n",
       "      <td>0</td>\n",
       "      <td>1.543869</td>\n",
       "      <td>0.747340</td>\n",
       "      <td>0.796529</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>247.896884</td>\n",
       "      <td>1.065428</td>\n",
       "      <td>133.553072</td>\n",
       "      <td>-48.871576</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4241.5625</td>\n",
       "      <td>4201.6035</td>\n",
       "      <td>4284.8700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>22</td>\n",
       "      <td>BN Pup</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1359</td>\n",
       "      <td>7.563</td>\n",
       "      <td>7.090</td>\n",
       "      <td>6.910</td>\n",
       "      <td>-0.03</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.05</td>\n",
       "      <td>1.0</td>\n",
       "      <td>12.83</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9930</td>\n",
       "      <td>428</td>\n",
       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
       "      <td>121.58948</td>\n",
       "      <td>-30.09689</td>\n",
       "      <td>0.074630</td>\n",
       "      <td>V* BN Pup</td>\n",
       "      <td>121.589479</td>\n",
       "      <td>-30.096880</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>94</td>\n",
       "      <td>08 06 21.47487</td>\n",
       "      <td>-30 05 48.7682</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>** |cC*|V* |*  |IR</td>\n",
       "      <td>62.300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G4</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1507</td>\n",
       "      <td>-1.48</td>\n",
       "      <td>2.17</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.990</td>\n",
       "      <td>9.750</td>\n",
       "      <td>8.97</td>\n",
       "      <td>7.751</td>\n",
       "      <td>7.338</td>\n",
       "      <td>7.141</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.040753</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5596601154188852352</td>\n",
       "      <td>13.670105</td>\n",
       "      <td>0.000219</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1730.799517</td>\n",
       "      <td>0.000310</td>\n",
       "      <td>1730.660415</td>\n",
       "      <td>0.000310</td>\n",
       "      <td>1732.308825</td>\n",
       "      <td>0.000310</td>\n",
       "      <td>9.487538</td>\n",
       "      <td>0.000257</td>\n",
       "      <td>10.230196</td>\n",
       "      <td>0.000415</td>\n",
       "      <td>8.671878</td>\n",
       "      <td>0.000122</td>\n",
       "      <td>0.803998</td>\n",
       "      <td>0.000608</td>\n",
       "      <td>1.056819</td>\n",
       "      <td>0.001212</td>\n",
       "      <td>0.597438</td>\n",
       "      <td>0.000474</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.088994</td>\n",
       "      <td>0.001226</td>\n",
       "      <td>0.144488</td>\n",
       "      <td>0.000592</td>\n",
       "      <td>4.525629</td>\n",
       "      <td>0.011481</td>\n",
       "      <td>1.761836</td>\n",
       "      <td>0.006800</td>\n",
       "      <td>36</td>\n",
       "      <td>33</td>\n",
       "      <td>35</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5597327141100381568</td>\n",
       "      <td>5597327141100381568</td>\n",
       "      <td>1687022855</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>119.746736</td>\n",
       "      <td>0.018461</td>\n",
       "      <td>-29.307863</td>\n",
       "      <td>0.021676</td>\n",
       "      <td>0.148993</td>\n",
       "      <td>0.027572</td>\n",
       "      <td>5.403829</td>\n",
       "      <td>-2.568540</td>\n",
       "      <td>0.041169</td>\n",
       "      <td>3.241689</td>\n",
       "      <td>0.042550</td>\n",
       "      <td>0.159440</td>\n",
       "      <td>0.157935</td>\n",
       "      <td>-0.117219</td>\n",
       "      <td>-0.081163</td>\n",
       "      <td>0.298215</td>\n",
       "      <td>-0.031068</td>\n",
       "      <td>-0.359129</td>\n",
       "      <td>0.108392</td>\n",
       "      <td>-0.052133</td>\n",
       "      <td>0.072805</td>\n",
       "      <td>320</td>\n",
       "      <td>320</td>\n",
       "      <td>314</td>\n",
       "      <td>6</td>\n",
       "      <td>8.191267</td>\n",
       "      <td>559.64710</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>303.939970</td>\n",
       "      <td>1.454345</td>\n",
       "      <td>0.005612</td>\n",
       "      <td>-0.052552</td>\n",
       "      <td>36</td>\n",
       "      <td>16</td>\n",
       "      <td>0.032256</td>\n",
       "      <td>0</td>\n",
       "      <td>38</td>\n",
       "      <td>False</td>\n",
       "      <td>337</td>\n",
       "      <td>1.622168e+06</td>\n",
       "      <td>1.465182e+04</td>\n",
       "      <td>110.714455</td>\n",
       "      <td>10.163126</td>\n",
       "      <td>37</td>\n",
       "      <td>5.542243e+05</td>\n",
       "      <td>1.785218e+04</td>\n",
       "      <td>31.045195</td>\n",
       "      <td>10.992174</td>\n",
       "      <td>37</td>\n",
       "      <td>1.517323e+06</td>\n",
       "      <td>3.601858e+04</td>\n",
       "      <td>42.126120</td>\n",
       "      <td>9.309225</td>\n",
       "      <td>1.277023</td>\n",
       "      <td>0</td>\n",
       "      <td>1.682949</td>\n",
       "      <td>0.829048</td>\n",
       "      <td>0.853901</td>\n",
       "      <td>106.573097</td>\n",
       "      <td>8.638671</td>\n",
       "      <td>6</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>1.5</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>246.378308</td>\n",
       "      <td>0.128084</td>\n",
       "      <td>130.875374</td>\n",
       "      <td>-48.613313</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4167.7500</td>\n",
       "      <td>3987.0000</td>\n",
       "      <td>4299.2500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>26</td>\n",
       "      <td>LS Pup</td>\n",
       "      <td>CEP</td>\n",
       "      <td>1.1506</td>\n",
       "      <td>8.030</td>\n",
       "      <td>7.531</td>\n",
       "      <td>7.341</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>0.11</td>\n",
       "      <td>1.0</td>\n",
       "      <td>13.29</td>\n",
       "      <td>0.05</td>\n",
       "      <td>10610</td>\n",
       "      <td>423</td>\n",
       "      <td>b</td>\n",
       "      <td>ROM</td>\n",
       "      <td>119.74675</td>\n",
       "      <td>-29.30788</td>\n",
       "      <td>0.074705</td>\n",
       "      <td>V* LS Pup</td>\n",
       "      <td>119.746749</td>\n",
       "      <td>-29.307877</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>68</td>\n",
       "      <td>07 58 59.21977</td>\n",
       "      <td>-29 18 28.3571</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |*  |IR</td>\n",
       "      <td>77.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1490</td>\n",
       "      <td>-2.57</td>\n",
       "      <td>3.24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.750</td>\n",
       "      <td>10.590</td>\n",
       "      <td>9.88</td>\n",
       "      <td>8.169</td>\n",
       "      <td>7.684</td>\n",
       "      <td>7.460</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.064107</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5597327141100381568</td>\n",
       "      <td>14.157350</td>\n",
       "      <td>0.000267</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1725.903234</td>\n",
       "      <td>0.000378</td>\n",
       "      <td>1725.738177</td>\n",
       "      <td>0.000378</td>\n",
       "      <td>1726.095193</td>\n",
       "      <td>0.000378</td>\n",
       "      <td>9.985326</td>\n",
       "      <td>0.000239</td>\n",
       "      <td>10.740812</td>\n",
       "      <td>0.000359</td>\n",
       "      <td>9.170941</td>\n",
       "      <td>0.000234</td>\n",
       "      <td>0.676821</td>\n",
       "      <td>0.000597</td>\n",
       "      <td>0.888727</td>\n",
       "      <td>0.001196</td>\n",
       "      <td>0.533425</td>\n",
       "      <td>0.000752</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.281743</td>\n",
       "      <td>0.001010</td>\n",
       "      <td>0.103611</td>\n",
       "      <td>0.000758</td>\n",
       "      <td>4.794127</td>\n",
       "      <td>0.004197</td>\n",
       "      <td>1.716243</td>\n",
       "      <td>0.010049</td>\n",
       "      <td>34</td>\n",
       "      <td>34</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5597379741549105280</td>\n",
       "      <td>5597379741549105280</td>\n",
       "      <td>70679366</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>119.592023</td>\n",
       "      <td>0.022383</td>\n",
       "      <td>-29.130083</td>\n",
       "      <td>0.026690</td>\n",
       "      <td>0.289989</td>\n",
       "      <td>0.034254</td>\n",
       "      <td>8.465862</td>\n",
       "      <td>-2.627301</td>\n",
       "      <td>0.049423</td>\n",
       "      <td>2.443422</td>\n",
       "      <td>0.052102</td>\n",
       "      <td>0.165281</td>\n",
       "      <td>0.079977</td>\n",
       "      <td>0.043708</td>\n",
       "      <td>0.039121</td>\n",
       "      <td>0.179028</td>\n",
       "      <td>0.089079</td>\n",
       "      <td>-0.060538</td>\n",
       "      <td>0.201243</td>\n",
       "      <td>-0.080055</td>\n",
       "      <td>0.079986</td>\n",
       "      <td>300</td>\n",
       "      <td>300</td>\n",
       "      <td>298</td>\n",
       "      <td>2</td>\n",
       "      <td>8.467171</td>\n",
       "      <td>548.46564</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>118.257600</td>\n",
       "      <td>1.440519</td>\n",
       "      <td>0.007409</td>\n",
       "      <td>-0.012915</td>\n",
       "      <td>34</td>\n",
       "      <td>17</td>\n",
       "      <td>0.035712</td>\n",
       "      <td>0</td>\n",
       "      <td>37</td>\n",
       "      <td>False</td>\n",
       "      <td>317</td>\n",
       "      <td>8.658317e+06</td>\n",
       "      <td>1.295275e+05</td>\n",
       "      <td>66.845420</td>\n",
       "      <td>8.344782</td>\n",
       "      <td>36</td>\n",
       "      <td>2.614054e+06</td>\n",
       "      <td>1.364979e+05</td>\n",
       "      <td>19.150880</td>\n",
       "      <td>9.308102</td>\n",
       "      <td>37</td>\n",
       "      <td>8.497201e+06</td>\n",
       "      <td>3.166232e+05</td>\n",
       "      <td>26.836954</td>\n",
       "      <td>7.438730</td>\n",
       "      <td>1.283304</td>\n",
       "      <td>0</td>\n",
       "      <td>1.869371</td>\n",
       "      <td>0.963320</td>\n",
       "      <td>0.906052</td>\n",
       "      <td>70.021902</td>\n",
       "      <td>6.516397</td>\n",
       "      <td>15</td>\n",
       "      <td>4250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>246.156145</td>\n",
       "      <td>0.106133</td>\n",
       "      <td>130.600754</td>\n",
       "      <td>-48.483741</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4012.0000</td>\n",
       "      <td>3869.5000</td>\n",
       "      <td>4155.5800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>169.998350</td>\n",
       "      <td>158.454010</td>\n",
       "      <td>182.749770</td>\n",
       "      <td>6745.712400</td>\n",
       "      <td>5519.37160</td>\n",
       "      <td>7972.053000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>20</td>\n",
       "      <td>AQ Pup</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.4786</td>\n",
       "      <td>6.033</td>\n",
       "      <td>5.495</td>\n",
       "      <td>5.283</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.05</td>\n",
       "      <td>1.0</td>\n",
       "      <td>12.29</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9472</td>\n",
       "      <td>436</td>\n",
       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
       "      <td>119.59205</td>\n",
       "      <td>-29.13009</td>\n",
       "      <td>0.087846</td>\n",
       "      <td>V* AQ Pup</td>\n",
       "      <td>119.592036</td>\n",
       "      <td>-29.130093</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>163</td>\n",
       "      <td>07 58 22.08872</td>\n",
       "      <td>-29 07 48.3353</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>** |V* |cC*|*  |IR</td>\n",
       "      <td>56.900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5-G2Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2900</td>\n",
       "      <td>-2.63</td>\n",
       "      <td>2.44</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.700</td>\n",
       "      <td>8.540</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.879</td>\n",
       "      <td>5.329</td>\n",
       "      <td>5.091</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.055612</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5597379741549105280</td>\n",
       "      <td>30.090207</td>\n",
       "      <td>0.001012</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1686.974097</td>\n",
       "      <td>0.001432</td>\n",
       "      <td>1687.041940</td>\n",
       "      <td>0.001432</td>\n",
       "      <td>1687.686214</td>\n",
       "      <td>0.001432</td>\n",
       "      <td>8.124128</td>\n",
       "      <td>0.000211</td>\n",
       "      <td>8.997675</td>\n",
       "      <td>0.000389</td>\n",
       "      <td>7.264267</td>\n",
       "      <td>0.000223</td>\n",
       "      <td>0.888433</td>\n",
       "      <td>0.000736</td>\n",
       "      <td>1.135174</td>\n",
       "      <td>0.001469</td>\n",
       "      <td>0.730534</td>\n",
       "      <td>0.000761</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.356259</td>\n",
       "      <td>0.000693</td>\n",
       "      <td>0.201011</td>\n",
       "      <td>0.001189</td>\n",
       "      <td>4.804479</td>\n",
       "      <td>0.005070</td>\n",
       "      <td>2.278853</td>\n",
       "      <td>0.003950</td>\n",
       "      <td>32</td>\n",
       "      <td>30</td>\n",
       "      <td>30</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5600052040150252800</td>\n",
       "      <td>5600052040150252800</td>\n",
       "      <td>546853193</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>114.646818</td>\n",
       "      <td>0.017000</td>\n",
       "      <td>-28.499601</td>\n",
       "      <td>0.023600</td>\n",
       "      <td>0.138201</td>\n",
       "      <td>0.026470</td>\n",
       "      <td>5.221033</td>\n",
       "      <td>-1.385562</td>\n",
       "      <td>0.039159</td>\n",
       "      <td>2.170105</td>\n",
       "      <td>0.049356</td>\n",
       "      <td>0.182135</td>\n",
       "      <td>0.018627</td>\n",
       "      <td>-0.009959</td>\n",
       "      <td>0.038109</td>\n",
       "      <td>0.004471</td>\n",
       "      <td>0.050554</td>\n",
       "      <td>-0.277457</td>\n",
       "      <td>0.110344</td>\n",
       "      <td>-0.033385</td>\n",
       "      <td>0.168405</td>\n",
       "      <td>331</td>\n",
       "      <td>331</td>\n",
       "      <td>327</td>\n",
       "      <td>4</td>\n",
       "      <td>3.503799</td>\n",
       "      <td>418.55743</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>231.684950</td>\n",
       "      <td>1.473711</td>\n",
       "      <td>0.005631</td>\n",
       "      <td>0.024898</td>\n",
       "      <td>38</td>\n",
       "      <td>17</td>\n",
       "      <td>0.037400</td>\n",
       "      <td>0</td>\n",
       "      <td>41</td>\n",
       "      <td>True</td>\n",
       "      <td>349</td>\n",
       "      <td>3.922664e+06</td>\n",
       "      <td>4.587812e+04</td>\n",
       "      <td>85.501854</td>\n",
       "      <td>9.204413</td>\n",
       "      <td>37</td>\n",
       "      <td>1.523113e+06</td>\n",
       "      <td>7.537622e+04</td>\n",
       "      <td>20.206812</td>\n",
       "      <td>9.894558</td>\n",
       "      <td>38</td>\n",
       "      <td>3.541826e+06</td>\n",
       "      <td>1.077330e+05</td>\n",
       "      <td>32.875980</td>\n",
       "      <td>8.388852</td>\n",
       "      <td>1.291199</td>\n",
       "      <td>0</td>\n",
       "      <td>1.505706</td>\n",
       "      <td>0.690145</td>\n",
       "      <td>0.815561</td>\n",
       "      <td>63.484840</td>\n",
       "      <td>7.070208</td>\n",
       "      <td>6</td>\n",
       "      <td>4250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>243.420654</td>\n",
       "      <td>-3.313461</td>\n",
       "      <td>124.014595</td>\n",
       "      <td>-49.069583</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4648.4750</td>\n",
       "      <td>4380.0000</td>\n",
       "      <td>5465.6800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>28</td>\n",
       "      <td>VZ Pup</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.3649</td>\n",
       "      <td>7.309</td>\n",
       "      <td>6.842</td>\n",
       "      <td>6.657</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.0</td>\n",
       "      <td>13.35</td>\n",
       "      <td>0.05</td>\n",
       "      <td>10867</td>\n",
       "      <td>425</td>\n",
       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
       "      <td>114.64683</td>\n",
       "      <td>-28.49961</td>\n",
       "      <td>0.048402</td>\n",
       "      <td>V* VZ Pup</td>\n",
       "      <td>114.646826</td>\n",
       "      <td>-28.499610</td>\n",
       "      <td>0.010</td>\n",
       "      <td>0.008</td>\n",
       "      <td>90.0</td>\n",
       "      <td>118</td>\n",
       "      <td>07 38 35.23836</td>\n",
       "      <td>-28 29 58.5972</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>NaN</td>\n",
       "      <td>63.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7.5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.3300</td>\n",
       "      <td>-0.99</td>\n",
       "      <td>2.52</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.730</td>\n",
       "      <td>8.980</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.157</td>\n",
       "      <td>6.657</td>\n",
       "      <td>6.463</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.041643</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5600052040150252800</td>\n",
       "      <td>23.172844</td>\n",
       "      <td>0.000134</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1707.716650</td>\n",
       "      <td>0.000189</td>\n",
       "      <td>1708.583451</td>\n",
       "      <td>0.000189</td>\n",
       "      <td>1707.641426</td>\n",
       "      <td>0.000189</td>\n",
       "      <td>9.217181</td>\n",
       "      <td>0.000202</td>\n",
       "      <td>9.947791</td>\n",
       "      <td>0.000302</td>\n",
       "      <td>8.418077</td>\n",
       "      <td>0.000283</td>\n",
       "      <td>0.932600</td>\n",
       "      <td>0.003201</td>\n",
       "      <td>1.162996</td>\n",
       "      <td>0.001787</td>\n",
       "      <td>0.816242</td>\n",
       "      <td>0.004376</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.377329</td>\n",
       "      <td>0.001972</td>\n",
       "      <td>0.209076</td>\n",
       "      <td>0.001022</td>\n",
       "      <td>4.710113</td>\n",
       "      <td>0.003781</td>\n",
       "      <td>3.179208</td>\n",
       "      <td>0.012132</td>\n",
       "      <td>36</td>\n",
       "      <td>31</td>\n",
       "      <td>33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5600915775257809152</td>\n",
       "      <td>5600915775257809152</td>\n",
       "      <td>938449036</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>119.425691</td>\n",
       "      <td>0.018990</td>\n",
       "      <td>-27.601892</td>\n",
       "      <td>0.024040</td>\n",
       "      <td>0.060329</td>\n",
       "      <td>0.030136</td>\n",
       "      <td>2.001920</td>\n",
       "      <td>-1.520458</td>\n",
       "      <td>0.042706</td>\n",
       "      <td>1.944400</td>\n",
       "      <td>0.052864</td>\n",
       "      <td>0.184970</td>\n",
       "      <td>0.005508</td>\n",
       "      <td>-0.293422</td>\n",
       "      <td>0.000738</td>\n",
       "      <td>0.051498</td>\n",
       "      <td>0.012845</td>\n",
       "      <td>-0.263327</td>\n",
       "      <td>0.150299</td>\n",
       "      <td>-0.084614</td>\n",
       "      <td>0.218966</td>\n",
       "      <td>317</td>\n",
       "      <td>317</td>\n",
       "      <td>305</td>\n",
       "      <td>12</td>\n",
       "      <td>10.140772</td>\n",
       "      <td>622.17633</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>395.155030</td>\n",
       "      <td>1.445091</td>\n",
       "      <td>0.005720</td>\n",
       "      <td>0.007443</td>\n",
       "      <td>37</td>\n",
       "      <td>17</td>\n",
       "      <td>0.038763</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>False</td>\n",
       "      <td>326</td>\n",
       "      <td>4.111465e+05</td>\n",
       "      <td>4.930917e+03</td>\n",
       "      <td>83.381355</td>\n",
       "      <td>11.653374</td>\n",
       "      <td>33</td>\n",
       "      <td>1.420659e+05</td>\n",
       "      <td>7.518651e+03</td>\n",
       "      <td>18.895136</td>\n",
       "      <td>12.470163</td>\n",
       "      <td>33</td>\n",
       "      <td>4.117728e+05</td>\n",
       "      <td>1.447765e+04</td>\n",
       "      <td>28.441956</td>\n",
       "      <td>10.725276</td>\n",
       "      <td>1.347059</td>\n",
       "      <td>0</td>\n",
       "      <td>1.744887</td>\n",
       "      <td>0.816790</td>\n",
       "      <td>0.928098</td>\n",
       "      <td>139.591988</td>\n",
       "      <td>7.101557</td>\n",
       "      <td>8</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>244.776543</td>\n",
       "      <td>0.779646</td>\n",
       "      <td>129.729318</td>\n",
       "      <td>-47.064627</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4076.0000</td>\n",
       "      <td>3940.0000</td>\n",
       "      <td>4287.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>25</td>\n",
       "      <td>HW Pup</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1289</td>\n",
       "      <td>9.468</td>\n",
       "      <td>8.914</td>\n",
       "      <td>8.716</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>0.09</td>\n",
       "      <td>1.0</td>\n",
       "      <td>14.55</td>\n",
       "      <td>0.07</td>\n",
       "      <td>13554</td>\n",
       "      <td>436</td>\n",
       "      <td>c</td>\n",
       "      <td>LEM</td>\n",
       "      <td>119.42567</td>\n",
       "      <td>-27.60192</td>\n",
       "      <td>0.121886</td>\n",
       "      <td>V* HW Pup</td>\n",
       "      <td>119.425699</td>\n",
       "      <td>-27.601900</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>42</td>\n",
       "      <td>07 57 42.16768</td>\n",
       "      <td>-27 36 06.8409</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>115.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0603</td>\n",
       "      <td>-1.52</td>\n",
       "      <td>1.94</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.350</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.279</td>\n",
       "      <td>8.806</td>\n",
       "      <td>8.619</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.038259</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5600915775257809152</td>\n",
       "      <td>13.459792</td>\n",
       "      <td>0.000263</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1728.119217</td>\n",
       "      <td>0.000372</td>\n",
       "      <td>1728.366310</td>\n",
       "      <td>0.000372</td>\n",
       "      <td>1728.723263</td>\n",
       "      <td>0.000372</td>\n",
       "      <td>11.494010</td>\n",
       "      <td>0.000867</td>\n",
       "      <td>12.362893</td>\n",
       "      <td>0.000544</td>\n",
       "      <td>10.659074</td>\n",
       "      <td>0.000292</td>\n",
       "      <td>0.857041</td>\n",
       "      <td>0.001427</td>\n",
       "      <td>0.887123</td>\n",
       "      <td>0.001325</td>\n",
       "      <td>0.552560</td>\n",
       "      <td>0.000646</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.437294</td>\n",
       "      <td>0.004947</td>\n",
       "      <td>0.293099</td>\n",
       "      <td>0.005471</td>\n",
       "      <td>5.367787</td>\n",
       "      <td>0.018122</td>\n",
       "      <td>1.673147</td>\n",
       "      <td>0.009151</td>\n",
       "      <td>38</td>\n",
       "      <td>31</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5613165915335320192</td>\n",
       "      <td>5613165915335320192</td>\n",
       "      <td>1376091236</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>111.169126</td>\n",
       "      <td>0.017165</td>\n",
       "      <td>-26.188491</td>\n",
       "      <td>0.021992</td>\n",
       "      <td>0.213099</td>\n",
       "      <td>0.026879</td>\n",
       "      <td>7.928214</td>\n",
       "      <td>-1.206290</td>\n",
       "      <td>0.040311</td>\n",
       "      <td>2.670997</td>\n",
       "      <td>0.045938</td>\n",
       "      <td>-0.008561</td>\n",
       "      <td>0.028196</td>\n",
       "      <td>-0.178407</td>\n",
       "      <td>-0.006690</td>\n",
       "      <td>0.079051</td>\n",
       "      <td>0.022847</td>\n",
       "      <td>-0.304645</td>\n",
       "      <td>0.240064</td>\n",
       "      <td>-0.007178</td>\n",
       "      <td>-0.120853</td>\n",
       "      <td>350</td>\n",
       "      <td>350</td>\n",
       "      <td>340</td>\n",
       "      <td>10</td>\n",
       "      <td>12.276540</td>\n",
       "      <td>762.68140</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>384.988680</td>\n",
       "      <td>1.422795</td>\n",
       "      <td>0.005375</td>\n",
       "      <td>-0.046247</td>\n",
       "      <td>40</td>\n",
       "      <td>17</td>\n",
       "      <td>0.034761</td>\n",
       "      <td>0</td>\n",
       "      <td>43</td>\n",
       "      <td>False</td>\n",
       "      <td>375</td>\n",
       "      <td>4.582653e+05</td>\n",
       "      <td>4.373492e+03</td>\n",
       "      <td>104.782455</td>\n",
       "      <td>11.535573</td>\n",
       "      <td>42</td>\n",
       "      <td>1.475528e+05</td>\n",
       "      <td>5.778638e+03</td>\n",
       "      <td>25.534185</td>\n",
       "      <td>12.429019</td>\n",
       "      <td>41</td>\n",
       "      <td>4.695095e+05</td>\n",
       "      <td>1.149638e+04</td>\n",
       "      <td>40.839756</td>\n",
       "      <td>10.582809</td>\n",
       "      <td>1.346518</td>\n",
       "      <td>0</td>\n",
       "      <td>1.846210</td>\n",
       "      <td>0.893446</td>\n",
       "      <td>0.952764</td>\n",
       "      <td>88.553163</td>\n",
       "      <td>4.840434</td>\n",
       "      <td>12</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>1.5</td>\n",
       "      <td>-0.50</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>239.905723</td>\n",
       "      <td>-4.923027</td>\n",
       "      <td>118.687778</td>\n",
       "      <td>-47.541393</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3900.0000</td>\n",
       "      <td>3883.7500</td>\n",
       "      <td>4249.5270</td>\n",
       "      <td>0.8902</td>\n",
       "      <td>0.4774</td>\n",
       "      <td>1.7787</td>\n",
       "      <td>0.4340</td>\n",
       "      <td>0.2057</td>\n",
       "      <td>0.8561</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>58.381653</td>\n",
       "      <td>49.172745</td>\n",
       "      <td>58.871223</td>\n",
       "      <td>710.404850</td>\n",
       "      <td>561.00070</td>\n",
       "      <td>859.809000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>2</td>\n",
       "      <td>AO Cma</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7646</td>\n",
       "      <td>9.154</td>\n",
       "      <td>8.595</td>\n",
       "      <td>8.366</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.06</td>\n",
       "      <td>1.0</td>\n",
       "      <td>12.95</td>\n",
       "      <td>0.05</td>\n",
       "      <td>10430</td>\n",
       "      <td>433</td>\n",
       "      <td>b+</td>\n",
       "      <td>LEM</td>\n",
       "      <td>111.16917</td>\n",
       "      <td>-26.18853</td>\n",
       "      <td>0.200995</td>\n",
       "      <td>V* AO CMa</td>\n",
       "      <td>111.169132</td>\n",
       "      <td>-26.188502</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>20</td>\n",
       "      <td>07 24 40.59159</td>\n",
       "      <td>-26 11 18.6079</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR</td>\n",
       "      <td>88.550</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2131</td>\n",
       "      <td>-1.21</td>\n",
       "      <td>2.67</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.177</td>\n",
       "      <td>8.512</td>\n",
       "      <td>8.341</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.045427</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5613165915335320192</td>\n",
       "      <td>5.815848</td>\n",
       "      <td>0.000049</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1745.830470</td>\n",
       "      <td>0.000069</td>\n",
       "      <td>1745.784440</td>\n",
       "      <td>0.000069</td>\n",
       "      <td>1745.841498</td>\n",
       "      <td>0.000069</td>\n",
       "      <td>11.447279</td>\n",
       "      <td>0.000252</td>\n",
       "      <td>12.327200</td>\n",
       "      <td>0.001129</td>\n",
       "      <td>10.535612</td>\n",
       "      <td>0.000175</td>\n",
       "      <td>0.579025</td>\n",
       "      <td>0.000660</td>\n",
       "      <td>0.767527</td>\n",
       "      <td>0.004565</td>\n",
       "      <td>0.483751</td>\n",
       "      <td>0.000652</td>\n",
       "      <td>0.048459</td>\n",
       "      <td>0.233803</td>\n",
       "      <td>0.393094</td>\n",
       "      <td>0.001411</td>\n",
       "      <td>0.115921</td>\n",
       "      <td>0.001436</td>\n",
       "      <td>4.793197</td>\n",
       "      <td>0.004604</td>\n",
       "      <td>3.039407</td>\n",
       "      <td>0.013283</td>\n",
       "      <td>42</td>\n",
       "      <td>41</td>\n",
       "      <td>41</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5613564621430610560</td>\n",
       "      <td>5613564621430610560</td>\n",
       "      <td>888772371</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>111.828684</td>\n",
       "      <td>0.019143</td>\n",
       "      <td>-25.785354</td>\n",
       "      <td>0.025030</td>\n",
       "      <td>0.062129</td>\n",
       "      <td>0.034674</td>\n",
       "      <td>1.791828</td>\n",
       "      <td>-0.744672</td>\n",
       "      <td>0.044812</td>\n",
       "      <td>1.883888</td>\n",
       "      <td>0.049627</td>\n",
       "      <td>0.014850</td>\n",
       "      <td>0.001397</td>\n",
       "      <td>-0.270208</td>\n",
       "      <td>0.036419</td>\n",
       "      <td>0.318383</td>\n",
       "      <td>0.110854</td>\n",
       "      <td>-0.302316</td>\n",
       "      <td>0.231369</td>\n",
       "      <td>-0.157749</td>\n",
       "      <td>-0.072824</td>\n",
       "      <td>306</td>\n",
       "      <td>245</td>\n",
       "      <td>300</td>\n",
       "      <td>6</td>\n",
       "      <td>10.600927</td>\n",
       "      <td>633.57110</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.729690e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>218.219420</td>\n",
       "      <td>1.389020</td>\n",
       "      <td>0.006404</td>\n",
       "      <td>-0.009649</td>\n",
       "      <td>35</td>\n",
       "      <td>15</td>\n",
       "      <td>0.037052</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>True</td>\n",
       "      <td>315</td>\n",
       "      <td>1.546952e+05</td>\n",
       "      <td>1.582966e+03</td>\n",
       "      <td>97.724880</td>\n",
       "      <td>12.714674</td>\n",
       "      <td>32</td>\n",
       "      <td>4.588488e+04</td>\n",
       "      <td>1.949294e+03</td>\n",
       "      <td>23.539234</td>\n",
       "      <td>13.697214</td>\n",
       "      <td>34</td>\n",
       "      <td>1.610870e+05</td>\n",
       "      <td>4.447291e+03</td>\n",
       "      <td>36.221367</td>\n",
       "      <td>11.744269</td>\n",
       "      <td>1.337933</td>\n",
       "      <td>0</td>\n",
       "      <td>1.952945</td>\n",
       "      <td>0.982540</td>\n",
       "      <td>0.970405</td>\n",
       "      <td>117.805841</td>\n",
       "      <td>4.997744</td>\n",
       "      <td>8</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>239.828250</td>\n",
       "      <td>-4.210251</td>\n",
       "      <td>119.413601</td>\n",
       "      <td>-47.020277</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3998.7524</td>\n",
       "      <td>3770.0000</td>\n",
       "      <td>4162.9650</td>\n",
       "      <td>1.0843</td>\n",
       "      <td>0.7599</td>\n",
       "      <td>1.6361</td>\n",
       "      <td>0.4893</td>\n",
       "      <td>0.3639</td>\n",
       "      <td>0.8537</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>24</td>\n",
       "      <td>CK Pup</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.8703</td>\n",
       "      <td>10.273</td>\n",
       "      <td>9.703</td>\n",
       "      <td>9.456</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>0.06</td>\n",
       "      <td>2.0</td>\n",
       "      <td>14.37</td>\n",
       "      <td>0.05</td>\n",
       "      <td>13357</td>\n",
       "      <td>423</td>\n",
       "      <td>b+</td>\n",
       "      <td>G13</td>\n",
       "      <td>111.82871</td>\n",
       "      <td>-25.78536</td>\n",
       "      <td>0.087659</td>\n",
       "      <td>V* CK Pup</td>\n",
       "      <td>111.828687</td>\n",
       "      <td>-25.785362</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>17</td>\n",
       "      <td>07 27 18.88494</td>\n",
       "      <td>-25 47 07.3048</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |IR</td>\n",
       "      <td>117.810</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0621</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>1.88</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.092</td>\n",
       "      <td>9.585</td>\n",
       "      <td>9.381</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.031399</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5613564621430610560</td>\n",
       "      <td>7.419344</td>\n",
       "      <td>0.000053</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1747.566007</td>\n",
       "      <td>0.000075</td>\n",
       "      <td>1777.271729</td>\n",
       "      <td>0.000075</td>\n",
       "      <td>1747.587841</td>\n",
       "      <td>0.000075</td>\n",
       "      <td>12.696842</td>\n",
       "      <td>0.000136</td>\n",
       "      <td>13.616237</td>\n",
       "      <td>0.002068</td>\n",
       "      <td>11.733342</td>\n",
       "      <td>0.000287</td>\n",
       "      <td>0.673812</td>\n",
       "      <td>0.000751</td>\n",
       "      <td>0.935128</td>\n",
       "      <td>0.006620</td>\n",
       "      <td>0.565602</td>\n",
       "      <td>0.001568</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.307389</td>\n",
       "      <td>0.000830</td>\n",
       "      <td>0.275356</td>\n",
       "      <td>0.001036</td>\n",
       "      <td>5.157450</td>\n",
       "      <td>0.004909</td>\n",
       "      <td>3.589997</td>\n",
       "      <td>0.002724</td>\n",
       "      <td>35</td>\n",
       "      <td>31</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5618354751226656640</td>\n",
       "      <td>5618354751226656640</td>\n",
       "      <td>469592602</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>112.510630</td>\n",
       "      <td>0.009978</td>\n",
       "      <td>-23.673981</td>\n",
       "      <td>0.015163</td>\n",
       "      <td>0.077720</td>\n",
       "      <td>0.019586</td>\n",
       "      <td>3.968206</td>\n",
       "      <td>-1.161681</td>\n",
       "      <td>0.026423</td>\n",
       "      <td>2.083325</td>\n",
       "      <td>0.029590</td>\n",
       "      <td>0.098158</td>\n",
       "      <td>-0.125981</td>\n",
       "      <td>-0.375563</td>\n",
       "      <td>0.053915</td>\n",
       "      <td>0.191438</td>\n",
       "      <td>0.108183</td>\n",
       "      <td>-0.376753</td>\n",
       "      <td>0.296703</td>\n",
       "      <td>-0.136310</td>\n",
       "      <td>-0.144414</td>\n",
       "      <td>472</td>\n",
       "      <td>27</td>\n",
       "      <td>467</td>\n",
       "      <td>5</td>\n",
       "      <td>0.516487</td>\n",
       "      <td>477.19680</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>110.149750</td>\n",
       "      <td>1.410858</td>\n",
       "      <td>0.003420</td>\n",
       "      <td>-0.017344</td>\n",
       "      <td>54</td>\n",
       "      <td>16</td>\n",
       "      <td>0.036923</td>\n",
       "      <td>0</td>\n",
       "      <td>55</td>\n",
       "      <td>False</td>\n",
       "      <td>439</td>\n",
       "      <td>7.864390e+04</td>\n",
       "      <td>5.380113e+02</td>\n",
       "      <td>146.175170</td>\n",
       "      <td>13.449204</td>\n",
       "      <td>46</td>\n",
       "      <td>2.441920e+04</td>\n",
       "      <td>6.092243e+02</td>\n",
       "      <td>40.082450</td>\n",
       "      <td>14.382059</td>\n",
       "      <td>53</td>\n",
       "      <td>8.253698e+04</td>\n",
       "      <td>1.863098e+03</td>\n",
       "      <td>44.300930</td>\n",
       "      <td>12.470299</td>\n",
       "      <td>1.360006</td>\n",
       "      <td>0</td>\n",
       "      <td>1.911760</td>\n",
       "      <td>0.932856</td>\n",
       "      <td>0.978905</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>238.261986</td>\n",
       "      <td>-2.661939</td>\n",
       "      <td>119.627978</td>\n",
       "      <td>-44.824995</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3873.0000</td>\n",
       "      <td>3799.0000</td>\n",
       "      <td>4159.1750</td>\n",
       "      <td>1.1493</td>\n",
       "      <td>0.7573</td>\n",
       "      <td>2.2020</td>\n",
       "      <td>0.5847</td>\n",
       "      <td>0.3633</td>\n",
       "      <td>1.0751</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>21</td>\n",
       "      <td>BC Pup</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5495</td>\n",
       "      <td>11.015</td>\n",
       "      <td>10.475</td>\n",
       "      <td>10.247</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>0.07</td>\n",
       "      <td>1.0</td>\n",
       "      <td>14.12</td>\n",
       "      <td>0.05</td>\n",
       "      <td>12763</td>\n",
       "      <td>426</td>\n",
       "      <td>b+</td>\n",
       "      <td>LII</td>\n",
       "      <td>112.51062</td>\n",
       "      <td>-23.67400</td>\n",
       "      <td>0.076334</td>\n",
       "      <td>V* BC Pup</td>\n",
       "      <td>112.510636</td>\n",
       "      <td>-23.673990</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>18</td>\n",
       "      <td>07 30 02.55263</td>\n",
       "      <td>-23 40 26.3643</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0777</td>\n",
       "      <td>-1.16</td>\n",
       "      <td>2.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.962</td>\n",
       "      <td>10.353</td>\n",
       "      <td>10.176</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.036972</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5618354751226656640</td>\n",
       "      <td>3.544163</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1752.404057</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>1752.355161</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>1752.390566</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>13.260380</td>\n",
       "      <td>0.000120</td>\n",
       "      <td>14.119955</td>\n",
       "      <td>0.000497</td>\n",
       "      <td>12.357792</td>\n",
       "      <td>0.000276</td>\n",
       "      <td>0.759723</td>\n",
       "      <td>0.000597</td>\n",
       "      <td>0.933188</td>\n",
       "      <td>0.002568</td>\n",
       "      <td>0.597429</td>\n",
       "      <td>0.001539</td>\n",
       "      <td>-0.223887</td>\n",
       "      <td>0.219739</td>\n",
       "      <td>0.461183</td>\n",
       "      <td>0.000625</td>\n",
       "      <td>0.238926</td>\n",
       "      <td>0.000435</td>\n",
       "      <td>4.285747</td>\n",
       "      <td>0.002024</td>\n",
       "      <td>2.179873</td>\n",
       "      <td>0.003318</td>\n",
       "      <td>54</td>\n",
       "      <td>52</td>\n",
       "      <td>52</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5620400182140135168</td>\n",
       "      <td>5620400182140135168</td>\n",
       "      <td>1135421867</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>112.954530</td>\n",
       "      <td>0.020333</td>\n",
       "      <td>-20.149657</td>\n",
       "      <td>0.025378</td>\n",
       "      <td>0.169794</td>\n",
       "      <td>0.036931</td>\n",
       "      <td>4.597581</td>\n",
       "      <td>-2.113402</td>\n",
       "      <td>0.041071</td>\n",
       "      <td>2.164458</td>\n",
       "      <td>0.049063</td>\n",
       "      <td>-0.251875</td>\n",
       "      <td>0.142497</td>\n",
       "      <td>-0.279801</td>\n",
       "      <td>-0.009106</td>\n",
       "      <td>-0.046084</td>\n",
       "      <td>0.010175</td>\n",
       "      <td>-0.249246</td>\n",
       "      <td>0.290924</td>\n",
       "      <td>-0.188094</td>\n",
       "      <td>-0.187376</td>\n",
       "      <td>340</td>\n",
       "      <td>340</td>\n",
       "      <td>318</td>\n",
       "      <td>22</td>\n",
       "      <td>10.873013</td>\n",
       "      <td>670.36060</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>380.870300</td>\n",
       "      <td>1.496897</td>\n",
       "      <td>0.006230</td>\n",
       "      <td>-0.020092</td>\n",
       "      <td>40</td>\n",
       "      <td>14</td>\n",
       "      <td>0.034166</td>\n",
       "      <td>0</td>\n",
       "      <td>42</td>\n",
       "      <td>False</td>\n",
       "      <td>359</td>\n",
       "      <td>7.211298e+05</td>\n",
       "      <td>6.311240e+03</td>\n",
       "      <td>114.261185</td>\n",
       "      <td>11.043332</td>\n",
       "      <td>35</td>\n",
       "      <td>2.805097e+05</td>\n",
       "      <td>1.085565e+04</td>\n",
       "      <td>25.839975</td>\n",
       "      <td>11.731519</td>\n",
       "      <td>36</td>\n",
       "      <td>6.557045e+05</td>\n",
       "      <td>1.574339e+04</td>\n",
       "      <td>41.649517</td>\n",
       "      <td>10.220150</td>\n",
       "      <td>1.298260</td>\n",
       "      <td>0</td>\n",
       "      <td>1.511369</td>\n",
       "      <td>0.688187</td>\n",
       "      <td>0.823182</td>\n",
       "      <td>69.973036</td>\n",
       "      <td>8.158441</td>\n",
       "      <td>4</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>235.366770</td>\n",
       "      <td>-0.608690</td>\n",
       "      <td>119.163329</td>\n",
       "      <td>-41.292962</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4320.5000</td>\n",
       "      <td>4071.9568</td>\n",
       "      <td>4913.9067</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>27</td>\n",
       "      <td>VW Pup</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6320</td>\n",
       "      <td>9.008</td>\n",
       "      <td>8.514</td>\n",
       "      <td>8.360</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>0.06</td>\n",
       "      <td>1.0</td>\n",
       "      <td>12.58</td>\n",
       "      <td>0.07</td>\n",
       "      <td>10175</td>\n",
       "      <td>443</td>\n",
       "      <td>c</td>\n",
       "      <td>LII</td>\n",
       "      <td>112.95454</td>\n",
       "      <td>-20.14967</td>\n",
       "      <td>0.055572</td>\n",
       "      <td>V* VW Pup</td>\n",
       "      <td>112.954540</td>\n",
       "      <td>-20.149667</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>60</td>\n",
       "      <td>07 31 49.08962</td>\n",
       "      <td>-20 08 58.8005</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>24.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1698</td>\n",
       "      <td>-2.11</td>\n",
       "      <td>2.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.120</td>\n",
       "      <td>11.150</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.933</td>\n",
       "      <td>8.509</td>\n",
       "      <td>8.365</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.046889</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5620400182140135168</td>\n",
       "      <td>4.285432</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1749.770078</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>1749.715804</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>1749.761753</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>10.954652</td>\n",
       "      <td>0.000148</td>\n",
       "      <td>11.648421</td>\n",
       "      <td>0.000396</td>\n",
       "      <td>10.174897</td>\n",
       "      <td>0.000171</td>\n",
       "      <td>0.605646</td>\n",
       "      <td>0.000556</td>\n",
       "      <td>0.783423</td>\n",
       "      <td>0.000960</td>\n",
       "      <td>0.494924</td>\n",
       "      <td>0.000676</td>\n",
       "      <td>-0.150133</td>\n",
       "      <td>0.224986</td>\n",
       "      <td>0.444183</td>\n",
       "      <td>0.000925</td>\n",
       "      <td>0.210405</td>\n",
       "      <td>0.001565</td>\n",
       "      <td>4.596198</td>\n",
       "      <td>0.004253</td>\n",
       "      <td>2.692074</td>\n",
       "      <td>0.005014</td>\n",
       "      <td>39</td>\n",
       "      <td>33</td>\n",
       "      <td>30</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5715183929918131968</td>\n",
       "      <td>5715183929918131968</td>\n",
       "      <td>879437856</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>115.478699</td>\n",
       "      <td>0.019623</td>\n",
       "      <td>-21.133058</td>\n",
       "      <td>0.023143</td>\n",
       "      <td>0.126722</td>\n",
       "      <td>0.034208</td>\n",
       "      <td>3.704464</td>\n",
       "      <td>-2.384257</td>\n",
       "      <td>0.040542</td>\n",
       "      <td>2.975668</td>\n",
       "      <td>0.047263</td>\n",
       "      <td>-0.131759</td>\n",
       "      <td>0.088541</td>\n",
       "      <td>-0.099836</td>\n",
       "      <td>-0.052501</td>\n",
       "      <td>0.091966</td>\n",
       "      <td>-0.018987</td>\n",
       "      <td>-0.136345</td>\n",
       "      <td>0.226841</td>\n",
       "      <td>-0.130981</td>\n",
       "      <td>-0.110847</td>\n",
       "      <td>306</td>\n",
       "      <td>306</td>\n",
       "      <td>301</td>\n",
       "      <td>5</td>\n",
       "      <td>7.099184</td>\n",
       "      <td>503.55740</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>272.310000</td>\n",
       "      <td>1.534152</td>\n",
       "      <td>0.006366</td>\n",
       "      <td>-0.068111</td>\n",
       "      <td>35</td>\n",
       "      <td>14</td>\n",
       "      <td>0.032609</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>False</td>\n",
       "      <td>316</td>\n",
       "      <td>1.387304e+06</td>\n",
       "      <td>1.565145e+04</td>\n",
       "      <td>88.637370</td>\n",
       "      <td>10.332937</td>\n",
       "      <td>32</td>\n",
       "      <td>5.726760e+05</td>\n",
       "      <td>2.498812e+04</td>\n",
       "      <td>22.917930</td>\n",
       "      <td>10.956615</td>\n",
       "      <td>32</td>\n",
       "      <td>1.137713e+06</td>\n",
       "      <td>3.439048e+04</td>\n",
       "      <td>33.082214</td>\n",
       "      <td>9.621838</td>\n",
       "      <td>1.232887</td>\n",
       "      <td>0</td>\n",
       "      <td>1.334778</td>\n",
       "      <td>0.623678</td>\n",
       "      <td>0.711100</td>\n",
       "      <td>82.533649</td>\n",
       "      <td>6.066583</td>\n",
       "      <td>7</td>\n",
       "      <td>4750.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>237.378877</td>\n",
       "      <td>0.971864</td>\n",
       "      <td>122.528523</td>\n",
       "      <td>-41.737989</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4660.2000</td>\n",
       "      <td>4557.8335</td>\n",
       "      <td>4755.5303</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>29</td>\n",
       "      <td>WW Pup</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7417</td>\n",
       "      <td>8.653</td>\n",
       "      <td>8.274</td>\n",
       "      <td>8.131</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>0.13</td>\n",
       "      <td>0.16</td>\n",
       "      <td>1.0</td>\n",
       "      <td>12.82</td>\n",
       "      <td>0.05</td>\n",
       "      <td>10382</td>\n",
       "      <td>436</td>\n",
       "      <td>b+</td>\n",
       "      <td>LII</td>\n",
       "      <td>115.47871</td>\n",
       "      <td>-21.13307</td>\n",
       "      <td>0.058366</td>\n",
       "      <td>V* WW Pup</td>\n",
       "      <td>115.478710</td>\n",
       "      <td>-21.133070</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>63</td>\n",
       "      <td>07 41 54.89037</td>\n",
       "      <td>-21 07 59.0533</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |*  |IR</td>\n",
       "      <td>87.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1267</td>\n",
       "      <td>-2.38</td>\n",
       "      <td>2.98</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.360</td>\n",
       "      <td>10.530</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.557</td>\n",
       "      <td>8.226</td>\n",
       "      <td>8.075</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.059102</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5715183929918131968</td>\n",
       "      <td>5.516153</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1748.844775</td>\n",
       "      <td>0.000027</td>\n",
       "      <td>1748.816485</td>\n",
       "      <td>0.000027</td>\n",
       "      <td>1748.960171</td>\n",
       "      <td>0.000027</td>\n",
       "      <td>10.269299</td>\n",
       "      <td>0.000138</td>\n",
       "      <td>10.823578</td>\n",
       "      <td>0.001666</td>\n",
       "      <td>9.606266</td>\n",
       "      <td>0.001135</td>\n",
       "      <td>0.772941</td>\n",
       "      <td>0.000429</td>\n",
       "      <td>0.971435</td>\n",
       "      <td>0.004895</td>\n",
       "      <td>0.561842</td>\n",
       "      <td>0.002512</td>\n",
       "      <td>-0.144340</td>\n",
       "      <td>0.233765</td>\n",
       "      <td>0.450227</td>\n",
       "      <td>0.000707</td>\n",
       "      <td>0.123514</td>\n",
       "      <td>0.000689</td>\n",
       "      <td>4.650653</td>\n",
       "      <td>0.001381</td>\n",
       "      <td>2.948765</td>\n",
       "      <td>0.007988</td>\n",
       "      <td>34</td>\n",
       "      <td>28</td>\n",
       "      <td>28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5884729035255064064</td>\n",
       "      <td>5884729035255064064</td>\n",
       "      <td>1145314701</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>238.678374</td>\n",
       "      <td>0.027616</td>\n",
       "      <td>-54.566442</td>\n",
       "      <td>0.020606</td>\n",
       "      <td>0.400225</td>\n",
       "      <td>0.035101</td>\n",
       "      <td>11.402030</td>\n",
       "      <td>-1.273257</td>\n",
       "      <td>0.056302</td>\n",
       "      <td>-2.083340</td>\n",
       "      <td>0.048215</td>\n",
       "      <td>0.004556</td>\n",
       "      <td>-0.153635</td>\n",
       "      <td>-0.300209</td>\n",
       "      <td>-0.317742</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>-0.329172</td>\n",
       "      <td>-0.140514</td>\n",
       "      <td>0.157906</td>\n",
       "      <td>0.074419</td>\n",
       "      <td>-0.544447</td>\n",
       "      <td>553</td>\n",
       "      <td>553</td>\n",
       "      <td>545</td>\n",
       "      <td>8</td>\n",
       "      <td>13.027777</td>\n",
       "      <td>1090.18750</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>243.601200</td>\n",
       "      <td>1.421808</td>\n",
       "      <td>0.004976</td>\n",
       "      <td>0.049551</td>\n",
       "      <td>64</td>\n",
       "      <td>15</td>\n",
       "      <td>0.043763</td>\n",
       "      <td>0</td>\n",
       "      <td>67</td>\n",
       "      <td>False</td>\n",
       "      <td>573</td>\n",
       "      <td>4.613992e+06</td>\n",
       "      <td>3.786372e+04</td>\n",
       "      <td>121.857840</td>\n",
       "      <td>9.028173</td>\n",
       "      <td>61</td>\n",
       "      <td>1.463887e+06</td>\n",
       "      <td>5.133706e+04</td>\n",
       "      <td>28.515207</td>\n",
       "      <td>9.937619</td>\n",
       "      <td>64</td>\n",
       "      <td>4.596272e+06</td>\n",
       "      <td>9.069115e+04</td>\n",
       "      <td>50.680492</td>\n",
       "      <td>8.105906</td>\n",
       "      <td>1.313431</td>\n",
       "      <td>0</td>\n",
       "      <td>1.831714</td>\n",
       "      <td>0.909446</td>\n",
       "      <td>0.922268</td>\n",
       "      <td>-26.769944</td>\n",
       "      <td>2.997266</td>\n",
       "      <td>6</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.25</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>327.501492</td>\n",
       "      <td>-0.683573</td>\n",
       "      <td>248.837020</td>\n",
       "      <td>-33.404637</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4054.1600</td>\n",
       "      <td>3962.6926</td>\n",
       "      <td>4187.5350</td>\n",
       "      <td>0.4280</td>\n",
       "      <td>0.1182</td>\n",
       "      <td>1.5013</td>\n",
       "      <td>0.1927</td>\n",
       "      <td>0.0590</td>\n",
       "      <td>0.8397</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>86.852850</td>\n",
       "      <td>81.408340</td>\n",
       "      <td>90.908615</td>\n",
       "      <td>1835.973300</td>\n",
       "      <td>1590.45460</td>\n",
       "      <td>2081.492000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>18</td>\n",
       "      <td>SY Nor</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1019</td>\n",
       "      <td>6.638</td>\n",
       "      <td>6.091</td>\n",
       "      <td>5.864</td>\n",
       "      <td>0.34</td>\n",
       "      <td>0.23</td>\n",
       "      <td>0.07</td>\n",
       "      <td>2.0</td>\n",
       "      <td>11.59</td>\n",
       "      <td>0.05</td>\n",
       "      <td>6286</td>\n",
       "      <td>446</td>\n",
       "      <td>b+</td>\n",
       "      <td>LIII</td>\n",
       "      <td>238.67838</td>\n",
       "      <td>-54.56643</td>\n",
       "      <td>0.044000</td>\n",
       "      <td>V* SY Nor</td>\n",
       "      <td>238.678383</td>\n",
       "      <td>-54.566433</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>77</td>\n",
       "      <td>15 54 42.81198</td>\n",
       "      <td>-54 33 59.1578</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>** |V* |** |cC*|*  |IR</td>\n",
       "      <td>-26.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F9Ib+B4.5V</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4002</td>\n",
       "      <td>-1.27</td>\n",
       "      <td>-2.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.000</td>\n",
       "      <td>9.630</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.686</td>\n",
       "      <td>6.086</td>\n",
       "      <td>5.822</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.037845</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5884729035255064064</td>\n",
       "      <td>12.633459</td>\n",
       "      <td>0.000179</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1676.154466</td>\n",
       "      <td>0.000253</td>\n",
       "      <td>1676.117651</td>\n",
       "      <td>0.000253</td>\n",
       "      <td>1675.143784</td>\n",
       "      <td>0.000253</td>\n",
       "      <td>8.965303</td>\n",
       "      <td>0.000602</td>\n",
       "      <td>9.866003</td>\n",
       "      <td>0.000896</td>\n",
       "      <td>8.031175</td>\n",
       "      <td>0.008760</td>\n",
       "      <td>0.752698</td>\n",
       "      <td>0.001217</td>\n",
       "      <td>0.975715</td>\n",
       "      <td>0.001717</td>\n",
       "      <td>0.655384</td>\n",
       "      <td>0.065284</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.174026</td>\n",
       "      <td>0.001090</td>\n",
       "      <td>0.144015</td>\n",
       "      <td>0.000852</td>\n",
       "      <td>4.054001</td>\n",
       "      <td>0.005394</td>\n",
       "      <td>0.985214</td>\n",
       "      <td>0.007245</td>\n",
       "      <td>61</td>\n",
       "      <td>56</td>\n",
       "      <td>58</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5932565900081831040</td>\n",
       "      <td>5932565900081831040</td>\n",
       "      <td>149584825</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>242.835263</td>\n",
       "      <td>0.033470</td>\n",
       "      <td>-54.354135</td>\n",
       "      <td>0.018536</td>\n",
       "      <td>0.474358</td>\n",
       "      <td>0.038007</td>\n",
       "      <td>12.480704</td>\n",
       "      <td>-1.746481</td>\n",
       "      <td>0.062004</td>\n",
       "      <td>-3.762794</td>\n",
       "      <td>0.051012</td>\n",
       "      <td>0.222684</td>\n",
       "      <td>-0.227086</td>\n",
       "      <td>-0.457573</td>\n",
       "      <td>-0.254797</td>\n",
       "      <td>-0.055188</td>\n",
       "      <td>-0.209945</td>\n",
       "      <td>-0.320668</td>\n",
       "      <td>-0.025368</td>\n",
       "      <td>0.233823</td>\n",
       "      <td>-0.374249</td>\n",
       "      <td>517</td>\n",
       "      <td>517</td>\n",
       "      <td>511</td>\n",
       "      <td>6</td>\n",
       "      <td>7.177959</td>\n",
       "      <td>769.53394</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>207.216540</td>\n",
       "      <td>1.532549</td>\n",
       "      <td>0.006182</td>\n",
       "      <td>-0.015917</td>\n",
       "      <td>58</td>\n",
       "      <td>16</td>\n",
       "      <td>0.044671</td>\n",
       "      <td>0</td>\n",
       "      <td>61</td>\n",
       "      <td>False</td>\n",
       "      <td>531</td>\n",
       "      <td>6.712248e+06</td>\n",
       "      <td>2.144030e+04</td>\n",
       "      <td>313.066900</td>\n",
       "      <td>8.621196</td>\n",
       "      <td>59</td>\n",
       "      <td>3.045717e+06</td>\n",
       "      <td>3.765540e+04</td>\n",
       "      <td>80.883940</td>\n",
       "      <td>9.142164</td>\n",
       "      <td>61</td>\n",
       "      <td>5.253955e+06</td>\n",
       "      <td>4.261005e+04</td>\n",
       "      <td>123.303200</td>\n",
       "      <td>7.960704</td>\n",
       "      <td>1.236497</td>\n",
       "      <td>0</td>\n",
       "      <td>1.181460</td>\n",
       "      <td>0.520968</td>\n",
       "      <td>0.660492</td>\n",
       "      <td>-40.335048</td>\n",
       "      <td>2.087939</td>\n",
       "      <td>16</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>329.456250</td>\n",
       "      <td>-2.119911</td>\n",
       "      <td>251.581370</td>\n",
       "      <td>-32.638266</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4908.6500</td>\n",
       "      <td>4653.2563</td>\n",
       "      <td>5080.7800</td>\n",
       "      <td>0.9798</td>\n",
       "      <td>0.5860</td>\n",
       "      <td>2.2331</td>\n",
       "      <td>0.5250</td>\n",
       "      <td>0.2860</td>\n",
       "      <td>1.0315</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>50.395420</td>\n",
       "      <td>47.038610</td>\n",
       "      <td>56.079124</td>\n",
       "      <td>1328.388400</td>\n",
       "      <td>1170.31930</td>\n",
       "      <td>1486.457500</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>17</td>\n",
       "      <td>QZ Nor</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.5782</td>\n",
       "      <td>7.085</td>\n",
       "      <td>6.748</td>\n",
       "      <td>6.614</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.21</td>\n",
       "      <td>0.06</td>\n",
       "      <td>2.0</td>\n",
       "      <td>11.53</td>\n",
       "      <td>0.05</td>\n",
       "      <td>6283</td>\n",
       "      <td>447</td>\n",
       "      <td>b</td>\n",
       "      <td>G13</td>\n",
       "      <td>242.83525</td>\n",
       "      <td>-54.35410</td>\n",
       "      <td>0.127278</td>\n",
       "      <td>V* QZ Nor</td>\n",
       "      <td>242.835276</td>\n",
       "      <td>-54.354118</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>106</td>\n",
       "      <td>16 11 20.46619</td>\n",
       "      <td>-54 21 14.8260</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |IR |*</td>\n",
       "      <td>-40.340</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6I</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4744</td>\n",
       "      <td>-1.75</td>\n",
       "      <td>-3.76</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.530</td>\n",
       "      <td>8.710</td>\n",
       "      <td>8.66</td>\n",
       "      <td>7.004</td>\n",
       "      <td>6.700</td>\n",
       "      <td>6.544</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.064299</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5932565900081831040</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.786777</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1698.054739</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1698.119182</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1698.041201</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>8.576756</td>\n",
       "      <td>0.000072</td>\n",
       "      <td>9.099462</td>\n",
       "      <td>0.000253</td>\n",
       "      <td>7.934157</td>\n",
       "      <td>0.000149</td>\n",
       "      <td>0.239751</td>\n",
       "      <td>0.000237</td>\n",
       "      <td>0.302013</td>\n",
       "      <td>0.000550</td>\n",
       "      <td>0.186929</td>\n",
       "      <td>0.000271</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.051345</td>\n",
       "      <td>0.001093</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.605023</td>\n",
       "      <td>0.025218</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>60</td>\n",
       "      <td>57</td>\n",
       "      <td>53</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5937099633141128448</td>\n",
       "      <td>5937099633141128448</td>\n",
       "      <td>1149846031</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>251.329617</td>\n",
       "      <td>0.039278</td>\n",
       "      <td>-51.342638</td>\n",
       "      <td>0.028568</td>\n",
       "      <td>0.247686</td>\n",
       "      <td>0.046633</td>\n",
       "      <td>5.311415</td>\n",
       "      <td>-2.606153</td>\n",
       "      <td>0.066772</td>\n",
       "      <td>-6.661254</td>\n",
       "      <td>0.053118</td>\n",
       "      <td>0.477070</td>\n",
       "      <td>-0.286525</td>\n",
       "      <td>-0.412304</td>\n",
       "      <td>-0.467223</td>\n",
       "      <td>-0.212215</td>\n",
       "      <td>-0.503354</td>\n",
       "      <td>-0.211769</td>\n",
       "      <td>0.018530</td>\n",
       "      <td>-0.008183</td>\n",
       "      <td>0.251985</td>\n",
       "      <td>261</td>\n",
       "      <td>261</td>\n",
       "      <td>252</td>\n",
       "      <td>9</td>\n",
       "      <td>5.163854</td>\n",
       "      <td>379.57864</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>270.912100</td>\n",
       "      <td>1.420252</td>\n",
       "      <td>0.008345</td>\n",
       "      <td>0.111614</td>\n",
       "      <td>30</td>\n",
       "      <td>13</td>\n",
       "      <td>0.047274</td>\n",
       "      <td>0</td>\n",
       "      <td>34</td>\n",
       "      <td>True</td>\n",
       "      <td>279</td>\n",
       "      <td>2.332662e+06</td>\n",
       "      <td>3.409152e+04</td>\n",
       "      <td>68.423510</td>\n",
       "      <td>9.768736</td>\n",
       "      <td>32</td>\n",
       "      <td>6.968406e+05</td>\n",
       "      <td>4.398254e+04</td>\n",
       "      <td>15.843571</td>\n",
       "      <td>10.743555</td>\n",
       "      <td>33</td>\n",
       "      <td>2.420058e+06</td>\n",
       "      <td>1.032166e+05</td>\n",
       "      <td>23.446410</td>\n",
       "      <td>8.802356</td>\n",
       "      <td>1.336198</td>\n",
       "      <td>0</td>\n",
       "      <td>1.941199</td>\n",
       "      <td>0.974819</td>\n",
       "      <td>0.966380</td>\n",
       "      <td>-60.710439</td>\n",
       "      <td>7.575931</td>\n",
       "      <td>2</td>\n",
       "      <td>4250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>335.179721</td>\n",
       "      <td>-3.746951</td>\n",
       "      <td>256.815042</td>\n",
       "      <td>-28.754486</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3934.8500</td>\n",
       "      <td>3829.8098</td>\n",
       "      <td>4106.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>110.024220</td>\n",
       "      <td>101.043140</td>\n",
       "      <td>116.142265</td>\n",
       "      <td>2614.472700</td>\n",
       "      <td>1924.45000</td>\n",
       "      <td>3304.495400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>1</td>\n",
       "      <td>V340 Ara</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.3183</td>\n",
       "      <td>7.302</td>\n",
       "      <td>6.754</td>\n",
       "      <td>6.534</td>\n",
       "      <td>0.40</td>\n",
       "      <td>0.33</td>\n",
       "      <td>0.09</td>\n",
       "      <td>6.0</td>\n",
       "      <td>12.99</td>\n",
       "      <td>0.05</td>\n",
       "      <td>4657</td>\n",
       "      <td>427</td>\n",
       "      <td>b+</td>\n",
       "      <td>PED</td>\n",
       "      <td>251.32964</td>\n",
       "      <td>-51.34261</td>\n",
       "      <td>0.114270</td>\n",
       "      <td>V* V340 Ara</td>\n",
       "      <td>251.329635</td>\n",
       "      <td>-51.342609</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>56</td>\n",
       "      <td>16 45 19.11229</td>\n",
       "      <td>-51 20 33.3942</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-83.300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2477</td>\n",
       "      <td>-2.61</td>\n",
       "      <td>-6.66</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.390</td>\n",
       "      <td>10.030</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.516</td>\n",
       "      <td>6.880</td>\n",
       "      <td>6.632</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.110870</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5937099633141128448</td>\n",
       "      <td>20.853063</td>\n",
       "      <td>0.000285</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1651.839449</td>\n",
       "      <td>0.000403</td>\n",
       "      <td>1651.601969</td>\n",
       "      <td>0.000403</td>\n",
       "      <td>1652.113134</td>\n",
       "      <td>0.000403</td>\n",
       "      <td>9.596311</td>\n",
       "      <td>0.000142</td>\n",
       "      <td>10.513991</td>\n",
       "      <td>0.000388</td>\n",
       "      <td>8.671559</td>\n",
       "      <td>0.000171</td>\n",
       "      <td>0.811089</td>\n",
       "      <td>0.000450</td>\n",
       "      <td>1.044966</td>\n",
       "      <td>0.000933</td>\n",
       "      <td>0.728991</td>\n",
       "      <td>0.000515</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.222709</td>\n",
       "      <td>0.000759</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.073887</td>\n",
       "      <td>0.002855</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>32</td>\n",
       "      <td>30</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5964193485048327808</td>\n",
       "      <td>5964193485048327808</td>\n",
       "      <td>1688356617</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>252.910606</td>\n",
       "      <td>0.041466</td>\n",
       "      <td>-45.426706</td>\n",
       "      <td>0.036751</td>\n",
       "      <td>0.503894</td>\n",
       "      <td>0.044516</td>\n",
       "      <td>11.319327</td>\n",
       "      <td>-1.353638</td>\n",
       "      <td>0.083133</td>\n",
       "      <td>-2.233629</td>\n",
       "      <td>0.064717</td>\n",
       "      <td>-0.116915</td>\n",
       "      <td>-0.129329</td>\n",
       "      <td>-0.508100</td>\n",
       "      <td>0.075107</td>\n",
       "      <td>-0.200410</td>\n",
       "      <td>0.154506</td>\n",
       "      <td>-0.753328</td>\n",
       "      <td>-0.097501</td>\n",
       "      <td>0.260298</td>\n",
       "      <td>-0.292321</td>\n",
       "      <td>229</td>\n",
       "      <td>229</td>\n",
       "      <td>227</td>\n",
       "      <td>2</td>\n",
       "      <td>11.864092</td>\n",
       "      <td>576.31060</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>223.822390</td>\n",
       "      <td>1.358272</td>\n",
       "      <td>0.008332</td>\n",
       "      <td>0.085199</td>\n",
       "      <td>26</td>\n",
       "      <td>12</td>\n",
       "      <td>0.057381</td>\n",
       "      <td>0</td>\n",
       "      <td>27</td>\n",
       "      <td>True</td>\n",
       "      <td>237</td>\n",
       "      <td>4.955438e+06</td>\n",
       "      <td>5.746177e+04</td>\n",
       "      <td>86.238870</td>\n",
       "      <td>8.950661</td>\n",
       "      <td>26</td>\n",
       "      <td>1.101090e+06</td>\n",
       "      <td>5.824075e+04</td>\n",
       "      <td>18.905844</td>\n",
       "      <td>10.246831</td>\n",
       "      <td>26</td>\n",
       "      <td>5.857666e+06</td>\n",
       "      <td>1.965971e+05</td>\n",
       "      <td>29.795288</td>\n",
       "      <td>7.842609</td>\n",
       "      <td>1.404267</td>\n",
       "      <td>0</td>\n",
       "      <td>2.404222</td>\n",
       "      <td>1.296170</td>\n",
       "      <td>1.108052</td>\n",
       "      <td>-47.140292</td>\n",
       "      <td>18.803032</td>\n",
       "      <td>3</td>\n",
       "      <td>3600.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>340.388437</td>\n",
       "      <td>-0.744758</td>\n",
       "      <td>257.077080</td>\n",
       "      <td>-22.751125</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4422.6000</td>\n",
       "      <td>3784.0000</td>\n",
       "      <td>5643.0000</td>\n",
       "      <td>1.4960</td>\n",
       "      <td>1.1319</td>\n",
       "      <td>2.0117</td>\n",
       "      <td>0.7177</td>\n",
       "      <td>0.5875</td>\n",
       "      <td>0.9721</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>31</td>\n",
       "      <td>KQ Sco</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.4577</td>\n",
       "      <td>5.945</td>\n",
       "      <td>5.229</td>\n",
       "      <td>4.924</td>\n",
       "      <td>0.22</td>\n",
       "      <td>0.52</td>\n",
       "      <td>0.08</td>\n",
       "      <td>5.0</td>\n",
       "      <td>11.67</td>\n",
       "      <td>0.05</td>\n",
       "      <td>5948</td>\n",
       "      <td>451</td>\n",
       "      <td>b</td>\n",
       "      <td>ROM</td>\n",
       "      <td>252.91062</td>\n",
       "      <td>-45.42669</td>\n",
       "      <td>0.066694</td>\n",
       "      <td>V* KQ Sco</td>\n",
       "      <td>252.910614</td>\n",
       "      <td>-45.426696</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>107</td>\n",
       "      <td>16 51 38.54735</td>\n",
       "      <td>-45 25 36.1053</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-24.100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>K7</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.5039</td>\n",
       "      <td>-1.35</td>\n",
       "      <td>-2.23</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.690</td>\n",
       "      <td>9.310</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.836</td>\n",
       "      <td>5.264</td>\n",
       "      <td>4.955</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.040483</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5964193485048327808</td>\n",
       "      <td>28.865095</td>\n",
       "      <td>0.001142</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1634.339101</td>\n",
       "      <td>0.001616</td>\n",
       "      <td>1634.789262</td>\n",
       "      <td>0.001616</td>\n",
       "      <td>1635.852895</td>\n",
       "      <td>0.001616</td>\n",
       "      <td>8.854315</td>\n",
       "      <td>0.000274</td>\n",
       "      <td>10.110852</td>\n",
       "      <td>0.001222</td>\n",
       "      <td>7.762304</td>\n",
       "      <td>0.001049</td>\n",
       "      <td>0.687223</td>\n",
       "      <td>0.000909</td>\n",
       "      <td>0.879406</td>\n",
       "      <td>0.002968</td>\n",
       "      <td>0.595631</td>\n",
       "      <td>0.001508</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.522776</td>\n",
       "      <td>0.001952</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.111005</td>\n",
       "      <td>0.003289</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>27</td>\n",
       "      <td>26</td>\n",
       "      <td>26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 174489098011145216</td>\n",
       "      <td>174489098011145216</td>\n",
       "      <td>1227568881</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>71.942980</td>\n",
       "      <td>0.062798</td>\n",
       "      <td>36.722781</td>\n",
       "      <td>0.040311</td>\n",
       "      <td>1.041957</td>\n",
       "      <td>0.063712</td>\n",
       "      <td>16.354294</td>\n",
       "      <td>0.337635</td>\n",
       "      <td>0.104470</td>\n",
       "      <td>-1.344815</td>\n",
       "      <td>0.065519</td>\n",
       "      <td>-0.224672</td>\n",
       "      <td>0.438145</td>\n",
       "      <td>-0.355919</td>\n",
       "      <td>0.290480</td>\n",
       "      <td>-0.274729</td>\n",
       "      <td>0.018340</td>\n",
       "      <td>-0.833919</td>\n",
       "      <td>0.095309</td>\n",
       "      <td>0.406768</td>\n",
       "      <td>0.111865</td>\n",
       "      <td>247</td>\n",
       "      <td>247</td>\n",
       "      <td>246</td>\n",
       "      <td>1</td>\n",
       "      <td>8.623780</td>\n",
       "      <td>483.17750</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>135.808900</td>\n",
       "      <td>1.497797</td>\n",
       "      <td>0.008512</td>\n",
       "      <td>-0.150462</td>\n",
       "      <td>28</td>\n",
       "      <td>11</td>\n",
       "      <td>0.062196</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>False</td>\n",
       "      <td>274</td>\n",
       "      <td>2.922936e+07</td>\n",
       "      <td>3.067353e+05</td>\n",
       "      <td>95.291820</td>\n",
       "      <td>7.023818</td>\n",
       "      <td>33</td>\n",
       "      <td>5.161311e+06</td>\n",
       "      <td>8.591747e+05</td>\n",
       "      <td>6.007290</td>\n",
       "      <td>8.569488</td>\n",
       "      <td>32</td>\n",
       "      <td>1.846095e+07</td>\n",
       "      <td>1.578368e+06</td>\n",
       "      <td>11.696228</td>\n",
       "      <td>6.596285</td>\n",
       "      <td>0.808169</td>\n",
       "      <td>0</td>\n",
       "      <td>1.973203</td>\n",
       "      <td>1.545670</td>\n",
       "      <td>0.427533</td>\n",
       "      <td>11.604876</td>\n",
       "      <td>3.281972</td>\n",
       "      <td>19</td>\n",
       "      <td>4500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>166.617655</td>\n",
       "      <td>-5.385878</td>\n",
       "      <td>75.150041</td>\n",
       "      <td>14.209757</td>\n",
       "      <td>101001.0</td>\n",
       "      <td>4642.0000</td>\n",
       "      <td>3796.0000</td>\n",
       "      <td>5979.2500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>255</td>\n",
       "      <td>AW Per</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8105</td>\n",
       "      <td>5.213</td>\n",
       "      <td>4.832</td>\n",
       "      <td>4.657</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.01</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.56</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8731</td>\n",
       "      <td>452</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>71.94299</td>\n",
       "      <td>36.72280</td>\n",
       "      <td>0.072850</td>\n",
       "      <td>V* AW Per</td>\n",
       "      <td>71.942979</td>\n",
       "      <td>36.722787</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>190</td>\n",
       "      <td>04 47 46.31487</td>\n",
       "      <td>+36 43 22.0334</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |IR |*  |SB*</td>\n",
       "      <td>5.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F0+B6:</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.0420</td>\n",
       "      <td>0.34</td>\n",
       "      <td>-1.35</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.460</td>\n",
       "      <td>7.510</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.100</td>\n",
       "      <td>4.792</td>\n",
       "      <td>4.630</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.021492</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>174489098011145216</td>\n",
       "      <td>6.464663</td>\n",
       "      <td>0.000190</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1725.113269</td>\n",
       "      <td>0.000269</td>\n",
       "      <td>1725.153752</td>\n",
       "      <td>0.000269</td>\n",
       "      <td>1725.485502</td>\n",
       "      <td>0.000269</td>\n",
       "      <td>7.047654</td>\n",
       "      <td>0.001088</td>\n",
       "      <td>7.734224</td>\n",
       "      <td>0.004829</td>\n",
       "      <td>6.274302</td>\n",
       "      <td>0.000914</td>\n",
       "      <td>0.679947</td>\n",
       "      <td>0.004283</td>\n",
       "      <td>0.820732</td>\n",
       "      <td>0.030445</td>\n",
       "      <td>0.569329</td>\n",
       "      <td>0.003141</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.405374</td>\n",
       "      <td>0.003507</td>\n",
       "      <td>0.236758</td>\n",
       "      <td>0.007309</td>\n",
       "      <td>4.743664</td>\n",
       "      <td>0.012464</td>\n",
       "      <td>2.802101</td>\n",
       "      <td>0.019435</td>\n",
       "      <td>29</td>\n",
       "      <td>24</td>\n",
       "      <td>25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 188724234539584256</td>\n",
       "      <td>188724234539584256</td>\n",
       "      <td>1376879911</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>78.841596</td>\n",
       "      <td>0.039358</td>\n",
       "      <td>40.078021</td>\n",
       "      <td>0.033615</td>\n",
       "      <td>0.172405</td>\n",
       "      <td>0.043149</td>\n",
       "      <td>3.995569</td>\n",
       "      <td>0.167656</td>\n",
       "      <td>0.079196</td>\n",
       "      <td>-0.585082</td>\n",
       "      <td>0.058388</td>\n",
       "      <td>0.052987</td>\n",
       "      <td>0.142589</td>\n",
       "      <td>-0.544867</td>\n",
       "      <td>-0.126132</td>\n",
       "      <td>-0.376826</td>\n",
       "      <td>-0.277813</td>\n",
       "      <td>-0.812255</td>\n",
       "      <td>0.217397</td>\n",
       "      <td>0.365459</td>\n",
       "      <td>0.148601</td>\n",
       "      <td>303</td>\n",
       "      <td>303</td>\n",
       "      <td>299</td>\n",
       "      <td>4</td>\n",
       "      <td>6.448983</td>\n",
       "      <td>478.82098</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>274.645000</td>\n",
       "      <td>1.427052</td>\n",
       "      <td>0.006917</td>\n",
       "      <td>-0.029771</td>\n",
       "      <td>34</td>\n",
       "      <td>12</td>\n",
       "      <td>0.054315</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>False</td>\n",
       "      <td>311</td>\n",
       "      <td>2.204220e+06</td>\n",
       "      <td>2.314898e+04</td>\n",
       "      <td>95.218900</td>\n",
       "      <td>9.830228</td>\n",
       "      <td>32</td>\n",
       "      <td>6.528213e+05</td>\n",
       "      <td>2.702748e+04</td>\n",
       "      <td>24.153986</td>\n",
       "      <td>10.814403</td>\n",
       "      <td>33</td>\n",
       "      <td>2.125099e+06</td>\n",
       "      <td>5.820423e+04</td>\n",
       "      <td>36.511074</td>\n",
       "      <td>8.943472</td>\n",
       "      <td>1.260274</td>\n",
       "      <td>0</td>\n",
       "      <td>1.870931</td>\n",
       "      <td>0.984175</td>\n",
       "      <td>0.886756</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>167.279787</td>\n",
       "      <td>0.939579</td>\n",
       "      <td>81.093133</td>\n",
       "      <td>16.983124</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3950.0000</td>\n",
       "      <td>3872.5000</td>\n",
       "      <td>4100.2197</td>\n",
       "      <td>0.4948</td>\n",
       "      <td>0.1609</td>\n",
       "      <td>1.1833</td>\n",
       "      <td>0.2730</td>\n",
       "      <td>0.0829</td>\n",
       "      <td>0.7403</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>342</td>\n",
       "      <td>YZ Aur</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.2599</td>\n",
       "      <td>7.487</td>\n",
       "      <td>6.905</td>\n",
       "      <td>6.669</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.89</td>\n",
       "      <td>0.05</td>\n",
       "      <td>11668</td>\n",
       "      <td>459</td>\n",
       "      <td>a</td>\n",
       "      <td>LEM</td>\n",
       "      <td>78.84158</td>\n",
       "      <td>40.07803</td>\n",
       "      <td>0.054704</td>\n",
       "      <td>V* YZ Aur</td>\n",
       "      <td>78.841595</td>\n",
       "      <td>40.078023</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>86</td>\n",
       "      <td>05 15 21.98271</td>\n",
       "      <td>+40 04 40.8831</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-12.100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1724</td>\n",
       "      <td>0.30</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.770</td>\n",
       "      <td>10.240</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.685</td>\n",
       "      <td>7.064</td>\n",
       "      <td>6.820</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.009434</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>188724234539584256</td>\n",
       "      <td>18.190761</td>\n",
       "      <td>0.001081</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1664.124986</td>\n",
       "      <td>0.001529</td>\n",
       "      <td>1664.205931</td>\n",
       "      <td>0.001529</td>\n",
       "      <td>1829.677598</td>\n",
       "      <td>0.001529</td>\n",
       "      <td>9.775206</td>\n",
       "      <td>0.000481</td>\n",
       "      <td>10.656617</td>\n",
       "      <td>0.001080</td>\n",
       "      <td>8.849756</td>\n",
       "      <td>0.000312</td>\n",
       "      <td>0.624261</td>\n",
       "      <td>0.001053</td>\n",
       "      <td>0.814900</td>\n",
       "      <td>0.001869</td>\n",
       "      <td>0.527318</td>\n",
       "      <td>0.001209</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.213454</td>\n",
       "      <td>0.002181</td>\n",
       "      <td>0.144998</td>\n",
       "      <td>0.002327</td>\n",
       "      <td>4.766832</td>\n",
       "      <td>0.013089</td>\n",
       "      <td>2.457551</td>\n",
       "      <td>0.019115</td>\n",
       "      <td>35</td>\n",
       "      <td>31</td>\n",
       "      <td>29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 189726984845700480</td>\n",
       "      <td>189726984845700480</td>\n",
       "      <td>383118584</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>86.058334</td>\n",
       "      <td>0.041694</td>\n",
       "      <td>37.586869</td>\n",
       "      <td>0.036011</td>\n",
       "      <td>0.216269</td>\n",
       "      <td>0.039825</td>\n",
       "      <td>5.430519</td>\n",
       "      <td>-0.060064</td>\n",
       "      <td>0.081114</td>\n",
       "      <td>-0.578002</td>\n",
       "      <td>0.057638</td>\n",
       "      <td>-0.226124</td>\n",
       "      <td>0.051099</td>\n",
       "      <td>-0.345653</td>\n",
       "      <td>0.499675</td>\n",
       "      <td>-0.108401</td>\n",
       "      <td>0.501893</td>\n",
       "      <td>-0.345183</td>\n",
       "      <td>0.255944</td>\n",
       "      <td>0.078516</td>\n",
       "      <td>-0.054835</td>\n",
       "      <td>161</td>\n",
       "      <td>161</td>\n",
       "      <td>159</td>\n",
       "      <td>2</td>\n",
       "      <td>6.571914</td>\n",
       "      <td>299.48618</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>401.719640</td>\n",
       "      <td>1.446539</td>\n",
       "      <td>0.008469</td>\n",
       "      <td>0.005961</td>\n",
       "      <td>18</td>\n",
       "      <td>10</td>\n",
       "      <td>0.056184</td>\n",
       "      <td>0</td>\n",
       "      <td>18</td>\n",
       "      <td>False</td>\n",
       "      <td>161</td>\n",
       "      <td>3.941790e+05</td>\n",
       "      <td>5.812279e+03</td>\n",
       "      <td>67.818330</td>\n",
       "      <td>11.699132</td>\n",
       "      <td>18</td>\n",
       "      <td>1.376946e+05</td>\n",
       "      <td>7.669742e+03</td>\n",
       "      <td>17.952957</td>\n",
       "      <td>12.504096</td>\n",
       "      <td>17</td>\n",
       "      <td>3.834257e+05</td>\n",
       "      <td>1.482853e+04</td>\n",
       "      <td>25.857302</td>\n",
       "      <td>10.802717</td>\n",
       "      <td>1.322039</td>\n",
       "      <td>0</td>\n",
       "      <td>1.701379</td>\n",
       "      <td>0.804964</td>\n",
       "      <td>0.896415</td>\n",
       "      <td>12.557693</td>\n",
       "      <td>5.083714</td>\n",
       "      <td>6</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>172.458315</td>\n",
       "      <td>4.259826</td>\n",
       "      <td>86.779038</td>\n",
       "      <td>14.191648</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4264.0000</td>\n",
       "      <td>4080.4700</td>\n",
       "      <td>4408.0000</td>\n",
       "      <td>0.4770</td>\n",
       "      <td>0.1802</td>\n",
       "      <td>2.0421</td>\n",
       "      <td>0.2167</td>\n",
       "      <td>0.1130</td>\n",
       "      <td>1.0787</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>39.974100</td>\n",
       "      <td>37.405020</td>\n",
       "      <td>43.650850</td>\n",
       "      <td>475.905600</td>\n",
       "      <td>347.43167</td>\n",
       "      <td>604.379500</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>29</td>\n",
       "      <td>GV Aur</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7210</td>\n",
       "      <td>9.493</td>\n",
       "      <td>9.011</td>\n",
       "      <td>8.811</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.32</td>\n",
       "      <td>0.07</td>\n",
       "      <td>12513</td>\n",
       "      <td>473</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>86.05833</td>\n",
       "      <td>37.58686</td>\n",
       "      <td>0.032778</td>\n",
       "      <td>V* GV Aur</td>\n",
       "      <td>86.058334</td>\n",
       "      <td>37.586871</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>23</td>\n",
       "      <td>05 44 14.00021</td>\n",
       "      <td>+37 35 12.7358</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>Ce*|V* |*  |IR |cC*</td>\n",
       "      <td>12.560</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2163</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>-0.58</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.369</td>\n",
       "      <td>8.865</td>\n",
       "      <td>8.666</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.009007</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>189726984845700480</td>\n",
       "      <td>5.259434</td>\n",
       "      <td>0.000062</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1697.606717</td>\n",
       "      <td>0.000088</td>\n",
       "      <td>1697.608088</td>\n",
       "      <td>0.000088</td>\n",
       "      <td>1698.953285</td>\n",
       "      <td>0.000088</td>\n",
       "      <td>11.557026</td>\n",
       "      <td>0.000861</td>\n",
       "      <td>12.332056</td>\n",
       "      <td>0.043213</td>\n",
       "      <td>10.813362</td>\n",
       "      <td>0.008803</td>\n",
       "      <td>0.689632</td>\n",
       "      <td>0.002653</td>\n",
       "      <td>0.882736</td>\n",
       "      <td>0.127186</td>\n",
       "      <td>0.331542</td>\n",
       "      <td>0.009101</td>\n",
       "      <td>-0.018012</td>\n",
       "      <td>0.233872</td>\n",
       "      <td>0.412792</td>\n",
       "      <td>0.001934</td>\n",
       "      <td>0.126333</td>\n",
       "      <td>0.001711</td>\n",
       "      <td>4.494613</td>\n",
       "      <td>0.006896</td>\n",
       "      <td>2.383885</td>\n",
       "      <td>0.009807</td>\n",
       "      <td>18</td>\n",
       "      <td>17</td>\n",
       "      <td>15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 189739251272296192</td>\n",
       "      <td>189739251272296192</td>\n",
       "      <td>1261610147</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>85.621913</td>\n",
       "      <td>0.045845</td>\n",
       "      <td>37.646333</td>\n",
       "      <td>0.037993</td>\n",
       "      <td>0.232381</td>\n",
       "      <td>0.048690</td>\n",
       "      <td>4.772676</td>\n",
       "      <td>0.400384</td>\n",
       "      <td>0.082650</td>\n",
       "      <td>-1.137645</td>\n",
       "      <td>0.061384</td>\n",
       "      <td>-0.411299</td>\n",
       "      <td>0.168285</td>\n",
       "      <td>-0.401922</td>\n",
       "      <td>0.440174</td>\n",
       "      <td>-0.376086</td>\n",
       "      <td>0.247983</td>\n",
       "      <td>-0.575088</td>\n",
       "      <td>0.323226</td>\n",
       "      <td>0.298587</td>\n",
       "      <td>-0.263815</td>\n",
       "      <td>150</td>\n",
       "      <td>150</td>\n",
       "      <td>149</td>\n",
       "      <td>1</td>\n",
       "      <td>1.122100</td>\n",
       "      <td>163.16875</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>368.787300</td>\n",
       "      <td>1.440520</td>\n",
       "      <td>0.009048</td>\n",
       "      <td>-0.134583</td>\n",
       "      <td>17</td>\n",
       "      <td>11</td>\n",
       "      <td>0.056251</td>\n",
       "      <td>0</td>\n",
       "      <td>17</td>\n",
       "      <td>False</td>\n",
       "      <td>150</td>\n",
       "      <td>2.751000e+05</td>\n",
       "      <td>3.300479e+03</td>\n",
       "      <td>83.351550</td>\n",
       "      <td>12.089639</td>\n",
       "      <td>17</td>\n",
       "      <td>9.758995e+04</td>\n",
       "      <td>4.552110e+03</td>\n",
       "      <td>21.438400</td>\n",
       "      <td>12.877875</td>\n",
       "      <td>17</td>\n",
       "      <td>2.645119e+05</td>\n",
       "      <td>8.541893e+03</td>\n",
       "      <td>30.966433</td>\n",
       "      <td>11.205807</td>\n",
       "      <td>1.316255</td>\n",
       "      <td>0</td>\n",
       "      <td>1.672069</td>\n",
       "      <td>0.788237</td>\n",
       "      <td>0.883832</td>\n",
       "      <td>-20.605532</td>\n",
       "      <td>5.238075</td>\n",
       "      <td>8</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>172.226682</td>\n",
       "      <td>3.995884</td>\n",
       "      <td>86.424391</td>\n",
       "      <td>14.261377</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4325.0000</td>\n",
       "      <td>4184.0000</td>\n",
       "      <td>4487.5130</td>\n",
       "      <td>0.5090</td>\n",
       "      <td>0.2034</td>\n",
       "      <td>1.6253</td>\n",
       "      <td>0.2410</td>\n",
       "      <td>0.0819</td>\n",
       "      <td>0.7419</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>33</td>\n",
       "      <td>V335 Aur</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5331</td>\n",
       "      <td>9.863</td>\n",
       "      <td>9.398</td>\n",
       "      <td>9.195</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.08</td>\n",
       "      <td>0.05</td>\n",
       "      <td>12037</td>\n",
       "      <td>461</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>85.62192</td>\n",
       "      <td>37.64636</td>\n",
       "      <td>0.098610</td>\n",
       "      <td>V* V335 Aur</td>\n",
       "      <td>85.621910</td>\n",
       "      <td>37.646338</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>30</td>\n",
       "      <td>05 42 29.25848</td>\n",
       "      <td>+37 38 46.8174</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-20.610</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2324</td>\n",
       "      <td>0.40</td>\n",
       "      <td>-1.14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.620</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.740</td>\n",
       "      <td>9.372</td>\n",
       "      <td>9.202</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.018694</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>189739251272296192</td>\n",
       "      <td>3.412716</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1704.072762</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1704.436215</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1704.082328</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>12.046245</td>\n",
       "      <td>0.000635</td>\n",
       "      <td>12.929334</td>\n",
       "      <td>0.000940</td>\n",
       "      <td>11.181050</td>\n",
       "      <td>0.000475</td>\n",
       "      <td>0.554870</td>\n",
       "      <td>0.001138</td>\n",
       "      <td>0.384499</td>\n",
       "      <td>0.001861</td>\n",
       "      <td>0.470581</td>\n",
       "      <td>0.001368</td>\n",
       "      <td>0.211787</td>\n",
       "      <td>0.219741</td>\n",
       "      <td>0.328198</td>\n",
       "      <td>0.000662</td>\n",
       "      <td>0.096144</td>\n",
       "      <td>0.001220</td>\n",
       "      <td>4.255311</td>\n",
       "      <td>0.004721</td>\n",
       "      <td>2.323881</td>\n",
       "      <td>0.012878</td>\n",
       "      <td>17</td>\n",
       "      <td>15</td>\n",
       "      <td>17</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 197337185858157440</td>\n",
       "      <td>197337185858157440</td>\n",
       "      <td>124505174</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>84.111477</td>\n",
       "      <td>0.034495</td>\n",
       "      <td>44.591355</td>\n",
       "      <td>0.030153</td>\n",
       "      <td>0.111740</td>\n",
       "      <td>0.035562</td>\n",
       "      <td>3.142160</td>\n",
       "      <td>0.305638</td>\n",
       "      <td>0.072884</td>\n",
       "      <td>-1.889784</td>\n",
       "      <td>0.055697</td>\n",
       "      <td>-0.137217</td>\n",
       "      <td>0.076621</td>\n",
       "      <td>-0.363332</td>\n",
       "      <td>0.207709</td>\n",
       "      <td>-0.183751</td>\n",
       "      <td>0.198614</td>\n",
       "      <td>-0.413873</td>\n",
       "      <td>0.086206</td>\n",
       "      <td>0.207978</td>\n",
       "      <td>-0.076068</td>\n",
       "      <td>150</td>\n",
       "      <td>150</td>\n",
       "      <td>149</td>\n",
       "      <td>1</td>\n",
       "      <td>2.625897</td>\n",
       "      <td>192.50775</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>363.594120</td>\n",
       "      <td>1.542707</td>\n",
       "      <td>0.007255</td>\n",
       "      <td>-0.081551</td>\n",
       "      <td>17</td>\n",
       "      <td>11</td>\n",
       "      <td>0.050302</td>\n",
       "      <td>0</td>\n",
       "      <td>17</td>\n",
       "      <td>False</td>\n",
       "      <td>151</td>\n",
       "      <td>2.960126e+05</td>\n",
       "      <td>5.350440e+03</td>\n",
       "      <td>55.324917</td>\n",
       "      <td>12.010090</td>\n",
       "      <td>15</td>\n",
       "      <td>1.354287e+05</td>\n",
       "      <td>1.091590e+04</td>\n",
       "      <td>12.406556</td>\n",
       "      <td>12.522111</td>\n",
       "      <td>15</td>\n",
       "      <td>2.417085e+05</td>\n",
       "      <td>1.109719e+04</td>\n",
       "      <td>21.781050</td>\n",
       "      <td>11.303690</td>\n",
       "      <td>1.274058</td>\n",
       "      <td>0</td>\n",
       "      <td>1.218421</td>\n",
       "      <td>0.512021</td>\n",
       "      <td>0.706400</td>\n",
       "      <td>-25.418824</td>\n",
       "      <td>5.028320</td>\n",
       "      <td>7</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>165.694653</td>\n",
       "      <td>6.685393</td>\n",
       "      <td>85.504177</td>\n",
       "      <td>21.243929</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4945.0000</td>\n",
       "      <td>4834.5800</td>\n",
       "      <td>5075.5900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>28</td>\n",
       "      <td>GT Aur</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6439</td>\n",
       "      <td>10.407</td>\n",
       "      <td>10.083</td>\n",
       "      <td>9.978</td>\n",
       "      <td>-0.02</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.40</td>\n",
       "      <td>0.07</td>\n",
       "      <td>15355</td>\n",
       "      <td>502</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>84.11150</td>\n",
       "      <td>44.59136</td>\n",
       "      <td>0.060614</td>\n",
       "      <td>V* GT Aur</td>\n",
       "      <td>84.111476</td>\n",
       "      <td>44.591363</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>15</td>\n",
       "      <td>05 36 26.75413</td>\n",
       "      <td>+44 35 28.9076</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>Ce*|V* |IR |cC*|*</td>\n",
       "      <td>-25.420</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1117</td>\n",
       "      <td>0.31</td>\n",
       "      <td>-1.89</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.265</td>\n",
       "      <td>9.933</td>\n",
       "      <td>9.829</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.029672</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>197337185858157440</td>\n",
       "      <td>4.403447</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1699.460890</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1699.358618</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1699.446903</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>11.824635</td>\n",
       "      <td>0.000323</td>\n",
       "      <td>12.431528</td>\n",
       "      <td>0.000857</td>\n",
       "      <td>11.252914</td>\n",
       "      <td>0.000593</td>\n",
       "      <td>0.927050</td>\n",
       "      <td>0.000784</td>\n",
       "      <td>0.929203</td>\n",
       "      <td>0.001840</td>\n",
       "      <td>0.578478</td>\n",
       "      <td>0.001296</td>\n",
       "      <td>0.287629</td>\n",
       "      <td>0.224971</td>\n",
       "      <td>0.316437</td>\n",
       "      <td>0.000526</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.735692</td>\n",
       "      <td>0.001711</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>16</td>\n",
       "      <td>14</td>\n",
       "      <td>15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 198681686717279616</td>\n",
       "      <td>198681686717279616</td>\n",
       "      <td>212678588</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>72.853535</td>\n",
       "      <td>0.029119</td>\n",
       "      <td>38.188551</td>\n",
       "      <td>0.022459</td>\n",
       "      <td>0.178185</td>\n",
       "      <td>0.029038</td>\n",
       "      <td>6.136292</td>\n",
       "      <td>0.288811</td>\n",
       "      <td>0.058139</td>\n",
       "      <td>-0.186510</td>\n",
       "      <td>0.037472</td>\n",
       "      <td>0.146233</td>\n",
       "      <td>0.205708</td>\n",
       "      <td>-0.506024</td>\n",
       "      <td>-0.081515</td>\n",
       "      <td>-0.071631</td>\n",
       "      <td>-0.115468</td>\n",
       "      <td>-0.795574</td>\n",
       "      <td>0.118782</td>\n",
       "      <td>0.177322</td>\n",
       "      <td>0.210244</td>\n",
       "      <td>256</td>\n",
       "      <td>60</td>\n",
       "      <td>255</td>\n",
       "      <td>1</td>\n",
       "      <td>-1.884509</td>\n",
       "      <td>209.59103</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>141.972730</td>\n",
       "      <td>1.463605</td>\n",
       "      <td>0.004634</td>\n",
       "      <td>-0.026973</td>\n",
       "      <td>29</td>\n",
       "      <td>12</td>\n",
       "      <td>0.058759</td>\n",
       "      <td>0</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>274</td>\n",
       "      <td>1.062082e+05</td>\n",
       "      <td>6.851207e+02</td>\n",
       "      <td>155.021200</td>\n",
       "      <td>13.122971</td>\n",
       "      <td>31</td>\n",
       "      <td>3.997432e+04</td>\n",
       "      <td>9.467071e+02</td>\n",
       "      <td>42.224590</td>\n",
       "      <td>13.846935</td>\n",
       "      <td>30</td>\n",
       "      <td>9.852641e+04</td>\n",
       "      <td>1.536445e+03</td>\n",
       "      <td>64.126230</td>\n",
       "      <td>12.278038</td>\n",
       "      <td>1.304049</td>\n",
       "      <td>0</td>\n",
       "      <td>1.568897</td>\n",
       "      <td>0.723965</td>\n",
       "      <td>0.844933</td>\n",
       "      <td>-38.086167</td>\n",
       "      <td>4.891868</td>\n",
       "      <td>8</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>165.948740</td>\n",
       "      <td>-3.893775</td>\n",
       "      <td>76.080935</td>\n",
       "      <td>15.574156</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4355.5000</td>\n",
       "      <td>4217.7163</td>\n",
       "      <td>4662.0435</td>\n",
       "      <td>0.7055</td>\n",
       "      <td>0.3075</td>\n",
       "      <td>1.8731</td>\n",
       "      <td>0.3990</td>\n",
       "      <td>0.1896</td>\n",
       "      <td>1.0736</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>26</td>\n",
       "      <td>EW Aur</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.4248</td>\n",
       "      <td>11.232</td>\n",
       "      <td>10.755</td>\n",
       "      <td>10.592</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>-0.57</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.13</td>\n",
       "      <td>0.06</td>\n",
       "      <td>14506</td>\n",
       "      <td>490</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>72.85354</td>\n",
       "      <td>38.18856</td>\n",
       "      <td>0.035858</td>\n",
       "      <td>V* EW Aur</td>\n",
       "      <td>72.853533</td>\n",
       "      <td>38.188552</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>35</td>\n",
       "      <td>04 51 24.84791</td>\n",
       "      <td>+38 11 18.7865</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR |Ce*</td>\n",
       "      <td>-38.090</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1782</td>\n",
       "      <td>0.29</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.090</td>\n",
       "      <td>10.605</td>\n",
       "      <td>10.443</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.005329</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>198681686717279616</td>\n",
       "      <td>2.659634</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1702.724860</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>1702.749234</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>1736.992605</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>13.146022</td>\n",
       "      <td>0.000375</td>\n",
       "      <td>13.877036</td>\n",
       "      <td>0.001654</td>\n",
       "      <td>12.228556</td>\n",
       "      <td>0.008210</td>\n",
       "      <td>0.408029</td>\n",
       "      <td>0.000817</td>\n",
       "      <td>0.468580</td>\n",
       "      <td>0.004511</td>\n",
       "      <td>0.338167</td>\n",
       "      <td>0.011297</td>\n",
       "      <td>0.332810</td>\n",
       "      <td>0.219760</td>\n",
       "      <td>0.291257</td>\n",
       "      <td>0.001063</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.372914</td>\n",
       "      <td>0.005047</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>31</td>\n",
       "      <td>31</td>\n",
       "      <td>28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 200016111582079744</td>\n",
       "      <td>200016111582079744</td>\n",
       "      <td>1598440665</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>73.825480</td>\n",
       "      <td>0.032497</td>\n",
       "      <td>39.979716</td>\n",
       "      <td>0.023873</td>\n",
       "      <td>0.070773</td>\n",
       "      <td>0.039840</td>\n",
       "      <td>1.776428</td>\n",
       "      <td>0.390715</td>\n",
       "      <td>0.056913</td>\n",
       "      <td>-0.327778</td>\n",
       "      <td>0.040818</td>\n",
       "      <td>-0.044608</td>\n",
       "      <td>0.433824</td>\n",
       "      <td>-0.380698</td>\n",
       "      <td>0.082977</td>\n",
       "      <td>-0.268065</td>\n",
       "      <td>-0.185103</td>\n",
       "      <td>-0.794336</td>\n",
       "      <td>0.046815</td>\n",
       "      <td>0.387694</td>\n",
       "      <td>0.235325</td>\n",
       "      <td>228</td>\n",
       "      <td>26</td>\n",
       "      <td>228</td>\n",
       "      <td>0</td>\n",
       "      <td>-3.001239</td>\n",
       "      <td>164.88728</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>112.428250</td>\n",
       "      <td>1.492349</td>\n",
       "      <td>0.004742</td>\n",
       "      <td>-0.131556</td>\n",
       "      <td>26</td>\n",
       "      <td>10</td>\n",
       "      <td>0.056931</td>\n",
       "      <td>0</td>\n",
       "      <td>28</td>\n",
       "      <td>False</td>\n",
       "      <td>245</td>\n",
       "      <td>8.205570e+04</td>\n",
       "      <td>1.319522e+03</td>\n",
       "      <td>62.185910</td>\n",
       "      <td>13.403094</td>\n",
       "      <td>23</td>\n",
       "      <td>3.164809e+04</td>\n",
       "      <td>1.924846e+03</td>\n",
       "      <td>16.441887</td>\n",
       "      <td>14.100519</td>\n",
       "      <td>25</td>\n",
       "      <td>7.100084e+04</td>\n",
       "      <td>3.000086e+03</td>\n",
       "      <td>23.666271</td>\n",
       "      <td>12.633761</td>\n",
       "      <td>1.250967</td>\n",
       "      <td>0</td>\n",
       "      <td>1.466758</td>\n",
       "      <td>0.697425</td>\n",
       "      <td>0.769333</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>165.034523</td>\n",
       "      <td>-2.177987</td>\n",
       "      <td>77.083859</td>\n",
       "      <td>17.262914</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4388.5000</td>\n",
       "      <td>4251.7563</td>\n",
       "      <td>4492.6665</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>27</td>\n",
       "      <td>FF Aur</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.3264</td>\n",
       "      <td>11.661</td>\n",
       "      <td>11.070</td>\n",
       "      <td>10.907</td>\n",
       "      <td>-0.51</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.02</td>\n",
       "      <td>0.06</td>\n",
       "      <td>14192</td>\n",
       "      <td>486</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>73.82546</td>\n",
       "      <td>39.97972</td>\n",
       "      <td>0.056501</td>\n",
       "      <td>V* FF Aur</td>\n",
       "      <td>73.825478</td>\n",
       "      <td>39.979717</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>28</td>\n",
       "      <td>04 55 18.11462</td>\n",
       "      <td>+39 58 46.9823</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR |Ce*</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0708</td>\n",
       "      <td>0.39</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.453</td>\n",
       "      <td>11.095</td>\n",
       "      <td>10.968</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.007905</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>200016111582079744</td>\n",
       "      <td>2.120608</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1704.731450</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>1704.738152</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>1704.759664</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>13.350845</td>\n",
       "      <td>0.000159</td>\n",
       "      <td>13.946754</td>\n",
       "      <td>0.001249</td>\n",
       "      <td>12.580215</td>\n",
       "      <td>0.000598</td>\n",
       "      <td>0.948555</td>\n",
       "      <td>0.000603</td>\n",
       "      <td>1.290841</td>\n",
       "      <td>0.007754</td>\n",
       "      <td>0.838239</td>\n",
       "      <td>0.004925</td>\n",
       "      <td>-0.402568</td>\n",
       "      <td>0.219744</td>\n",
       "      <td>0.515724</td>\n",
       "      <td>0.000802</td>\n",
       "      <td>0.396305</td>\n",
       "      <td>0.001366</td>\n",
       "      <td>4.195581</td>\n",
       "      <td>0.002081</td>\n",
       "      <td>2.185287</td>\n",
       "      <td>0.002962</td>\n",
       "      <td>28</td>\n",
       "      <td>22</td>\n",
       "      <td>22</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 200708636406382720</td>\n",
       "      <td>200708636406382720</td>\n",
       "      <td>905451956</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>75.346625</td>\n",
       "      <td>0.051200</td>\n",
       "      <td>39.960382</td>\n",
       "      <td>0.045017</td>\n",
       "      <td>0.542955</td>\n",
       "      <td>0.051119</td>\n",
       "      <td>10.621316</td>\n",
       "      <td>1.322640</td>\n",
       "      <td>0.100273</td>\n",
       "      <td>-3.156421</td>\n",
       "      <td>0.075582</td>\n",
       "      <td>-0.012418</td>\n",
       "      <td>-0.023213</td>\n",
       "      <td>-0.586145</td>\n",
       "      <td>-0.008174</td>\n",
       "      <td>-0.362685</td>\n",
       "      <td>-0.128818</td>\n",
       "      <td>-0.856847</td>\n",
       "      <td>0.240279</td>\n",
       "      <td>0.394111</td>\n",
       "      <td>0.170489</td>\n",
       "      <td>224</td>\n",
       "      <td>224</td>\n",
       "      <td>221</td>\n",
       "      <td>3</td>\n",
       "      <td>1.748374</td>\n",
       "      <td>253.67244</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>9.580956e-16</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>107.843880</td>\n",
       "      <td>1.530188</td>\n",
       "      <td>0.009930</td>\n",
       "      <td>-0.086394</td>\n",
       "      <td>25</td>\n",
       "      <td>12</td>\n",
       "      <td>0.065890</td>\n",
       "      <td>0</td>\n",
       "      <td>27</td>\n",
       "      <td>False</td>\n",
       "      <td>239</td>\n",
       "      <td>2.188740e+07</td>\n",
       "      <td>1.662335e+05</td>\n",
       "      <td>131.666610</td>\n",
       "      <td>7.337880</td>\n",
       "      <td>26</td>\n",
       "      <td>9.349094e+06</td>\n",
       "      <td>2.640147e+05</td>\n",
       "      <td>35.411260</td>\n",
       "      <td>7.924464</td>\n",
       "      <td>27</td>\n",
       "      <td>1.747556e+07</td>\n",
       "      <td>3.806738e+05</td>\n",
       "      <td>45.906906</td>\n",
       "      <td>6.655842</td>\n",
       "      <td>1.225575</td>\n",
       "      <td>0</td>\n",
       "      <td>1.268622</td>\n",
       "      <td>0.586584</td>\n",
       "      <td>0.682038</td>\n",
       "      <td>-23.771607</td>\n",
       "      <td>2.302922</td>\n",
       "      <td>12</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>165.773450</td>\n",
       "      <td>-1.275840</td>\n",
       "      <td>78.294390</td>\n",
       "      <td>17.114688</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4738.8400</td>\n",
       "      <td>4650.0000</td>\n",
       "      <td>4832.6000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>87.299130</td>\n",
       "      <td>83.944500</td>\n",
       "      <td>90.666756</td>\n",
       "      <td>3462.602800</td>\n",
       "      <td>3016.36350</td>\n",
       "      <td>3908.842000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>32</td>\n",
       "      <td>RX Aur</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0654</td>\n",
       "      <td>5.726</td>\n",
       "      <td>5.357</td>\n",
       "      <td>5.212</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.99</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9480</td>\n",
       "      <td>453</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>75.34662</td>\n",
       "      <td>39.96040</td>\n",
       "      <td>0.067896</td>\n",
       "      <td>V* RX Aur</td>\n",
       "      <td>75.346617</td>\n",
       "      <td>39.960395</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>182</td>\n",
       "      <td>05 01 23.18817</td>\n",
       "      <td>+39 57 37.4223</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>-21.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0III</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.5430</td>\n",
       "      <td>1.32</td>\n",
       "      <td>-3.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.490</td>\n",
       "      <td>7.620</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.753</td>\n",
       "      <td>5.404</td>\n",
       "      <td>5.256</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.053046</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>200708636406382720</td>\n",
       "      <td>11.625703</td>\n",
       "      <td>0.000111</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1686.775837</td>\n",
       "      <td>0.000156</td>\n",
       "      <td>1850.114527</td>\n",
       "      <td>0.000156</td>\n",
       "      <td>1675.926280</td>\n",
       "      <td>0.000156</td>\n",
       "      <td>7.338811</td>\n",
       "      <td>0.000149</td>\n",
       "      <td>7.938586</td>\n",
       "      <td>0.000823</td>\n",
       "      <td>6.678832</td>\n",
       "      <td>0.000324</td>\n",
       "      <td>0.572215</td>\n",
       "      <td>0.001289</td>\n",
       "      <td>0.502286</td>\n",
       "      <td>0.033517</td>\n",
       "      <td>0.345249</td>\n",
       "      <td>0.001549</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.119823</td>\n",
       "      <td>0.000948</td>\n",
       "      <td>0.115927</td>\n",
       "      <td>0.000942</td>\n",
       "      <td>4.401086</td>\n",
       "      <td>0.013146</td>\n",
       "      <td>0.779083</td>\n",
       "      <td>0.009793</td>\n",
       "      <td>27</td>\n",
       "      <td>23</td>\n",
       "      <td>24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 201574982848108416</td>\n",
       "      <td>201574982848108416</td>\n",
       "      <td>1049115220</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>74.923071</td>\n",
       "      <td>0.055218</td>\n",
       "      <td>40.836028</td>\n",
       "      <td>0.044839</td>\n",
       "      <td>0.069642</td>\n",
       "      <td>0.049651</td>\n",
       "      <td>1.402617</td>\n",
       "      <td>-0.503940</td>\n",
       "      <td>0.111438</td>\n",
       "      <td>-1.609636</td>\n",
       "      <td>0.075953</td>\n",
       "      <td>0.127055</td>\n",
       "      <td>0.004658</td>\n",
       "      <td>-0.681207</td>\n",
       "      <td>-0.136858</td>\n",
       "      <td>-0.078635</td>\n",
       "      <td>-0.171227</td>\n",
       "      <td>-0.841814</td>\n",
       "      <td>0.193198</td>\n",
       "      <td>0.169847</td>\n",
       "      <td>0.220881</td>\n",
       "      <td>184</td>\n",
       "      <td>184</td>\n",
       "      <td>180</td>\n",
       "      <td>4</td>\n",
       "      <td>6.363354</td>\n",
       "      <td>322.08047</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>301.698460</td>\n",
       "      <td>1.471468</td>\n",
       "      <td>0.008804</td>\n",
       "      <td>-0.065635</td>\n",
       "      <td>22</td>\n",
       "      <td>10</td>\n",
       "      <td>0.074581</td>\n",
       "      <td>0</td>\n",
       "      <td>26</td>\n",
       "      <td>False</td>\n",
       "      <td>218</td>\n",
       "      <td>2.055707e+06</td>\n",
       "      <td>2.178032e+04</td>\n",
       "      <td>94.383700</td>\n",
       "      <td>9.905963</td>\n",
       "      <td>26</td>\n",
       "      <td>7.625194e+05</td>\n",
       "      <td>3.075832e+04</td>\n",
       "      <td>24.790672</td>\n",
       "      <td>10.645761</td>\n",
       "      <td>25</td>\n",
       "      <td>1.848808e+06</td>\n",
       "      <td>4.431741e+04</td>\n",
       "      <td>41.717430</td>\n",
       "      <td>9.094690</td>\n",
       "      <td>1.270282</td>\n",
       "      <td>0</td>\n",
       "      <td>1.551070</td>\n",
       "      <td>0.739798</td>\n",
       "      <td>0.811273</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>164.884692</td>\n",
       "      <td>-0.990854</td>\n",
       "      <td>78.056313</td>\n",
       "      <td>18.019830</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4297.1850</td>\n",
       "      <td>4224.6665</td>\n",
       "      <td>4430.7065</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>22</td>\n",
       "      <td>AN Aur</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0124</td>\n",
       "      <td>7.927</td>\n",
       "      <td>7.446</td>\n",
       "      <td>7.237</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.72</td>\n",
       "      <td>0.05</td>\n",
       "      <td>11355</td>\n",
       "      <td>458</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>74.92308</td>\n",
       "      <td>40.83604</td>\n",
       "      <td>0.048228</td>\n",
       "      <td>V* AN Aur</td>\n",
       "      <td>74.923074</td>\n",
       "      <td>40.836035</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>84</td>\n",
       "      <td>04 59 41.53773</td>\n",
       "      <td>+40 50 09.7274</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR |Ce*</td>\n",
       "      <td>1.900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0696</td>\n",
       "      <td>2.57</td>\n",
       "      <td>2.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.350</td>\n",
       "      <td>10.210</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.802</td>\n",
       "      <td>7.354</td>\n",
       "      <td>7.182</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.026144</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>201574982848108416</td>\n",
       "      <td>10.305726</td>\n",
       "      <td>0.000124</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1688.543254</td>\n",
       "      <td>0.000176</td>\n",
       "      <td>1719.033430</td>\n",
       "      <td>0.000176</td>\n",
       "      <td>1688.993257</td>\n",
       "      <td>0.000176</td>\n",
       "      <td>9.918006</td>\n",
       "      <td>0.000169</td>\n",
       "      <td>10.666897</td>\n",
       "      <td>0.000508</td>\n",
       "      <td>9.104353</td>\n",
       "      <td>0.000449</td>\n",
       "      <td>0.435908</td>\n",
       "      <td>0.000400</td>\n",
       "      <td>0.576131</td>\n",
       "      <td>0.000958</td>\n",
       "      <td>0.360471</td>\n",
       "      <td>0.013319</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>23</td>\n",
       "      <td>21</td>\n",
       "      <td>22</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 202939854734748032</td>\n",
       "      <td>202939854734748032</td>\n",
       "      <td>926702299</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>70.991173</td>\n",
       "      <td>0.049803</td>\n",
       "      <td>40.834779</td>\n",
       "      <td>0.044743</td>\n",
       "      <td>0.106855</td>\n",
       "      <td>0.049811</td>\n",
       "      <td>2.145226</td>\n",
       "      <td>0.632048</td>\n",
       "      <td>0.100277</td>\n",
       "      <td>-0.192034</td>\n",
       "      <td>0.076127</td>\n",
       "      <td>0.186735</td>\n",
       "      <td>0.020649</td>\n",
       "      <td>-0.627474</td>\n",
       "      <td>-0.153399</td>\n",
       "      <td>-0.263691</td>\n",
       "      <td>-0.240222</td>\n",
       "      <td>-0.829325</td>\n",
       "      <td>0.290149</td>\n",
       "      <td>0.345597</td>\n",
       "      <td>0.402148</td>\n",
       "      <td>230</td>\n",
       "      <td>230</td>\n",
       "      <td>215</td>\n",
       "      <td>15</td>\n",
       "      <td>13.280380</td>\n",
       "      <td>615.31150</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>9.127721e-01</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>425.444980</td>\n",
       "      <td>1.466088</td>\n",
       "      <td>0.009373</td>\n",
       "      <td>-0.025282</td>\n",
       "      <td>26</td>\n",
       "      <td>12</td>\n",
       "      <td>0.070577</td>\n",
       "      <td>0</td>\n",
       "      <td>30</td>\n",
       "      <td>False</td>\n",
       "      <td>257</td>\n",
       "      <td>6.681845e+05</td>\n",
       "      <td>5.323763e+03</td>\n",
       "      <td>125.509820</td>\n",
       "      <td>11.126124</td>\n",
       "      <td>28</td>\n",
       "      <td>2.478939e+05</td>\n",
       "      <td>6.817148e+03</td>\n",
       "      <td>36.363280</td>\n",
       "      <td>11.865724</td>\n",
       "      <td>24</td>\n",
       "      <td>6.491426e+05</td>\n",
       "      <td>7.798187e+03</td>\n",
       "      <td>83.242750</td>\n",
       "      <td>10.231070</td>\n",
       "      <td>1.342498</td>\n",
       "      <td>0</td>\n",
       "      <td>1.634654</td>\n",
       "      <td>0.739599</td>\n",
       "      <td>0.895055</td>\n",
       "      <td>-30.583962</td>\n",
       "      <td>4.952223</td>\n",
       "      <td>7</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>162.993541</td>\n",
       "      <td>-3.288069</td>\n",
       "      <td>74.948503</td>\n",
       "      <td>18.383603</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4318.6665</td>\n",
       "      <td>4139.6377</td>\n",
       "      <td>4850.6900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>260</td>\n",
       "      <td>HQ Per</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.9364</td>\n",
       "      <td>9.179</td>\n",
       "      <td>8.626</td>\n",
       "      <td>8.465</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.67</td>\n",
       "      <td>0.06</td>\n",
       "      <td>13198</td>\n",
       "      <td>475</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>70.99117</td>\n",
       "      <td>40.83478</td>\n",
       "      <td>0.009260</td>\n",
       "      <td>V* HQ Per</td>\n",
       "      <td>70.991170</td>\n",
       "      <td>40.834780</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>31</td>\n",
       "      <td>04 43 57.88070</td>\n",
       "      <td>+40 50 05.2077</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |*  |IR</td>\n",
       "      <td>-30.580</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1069</td>\n",
       "      <td>0.63</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.075</td>\n",
       "      <td>8.596</td>\n",
       "      <td>8.443</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.010239</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>202939854734748032</td>\n",
       "      <td>8.639252</td>\n",
       "      <td>0.000320</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1690.433407</td>\n",
       "      <td>0.000453</td>\n",
       "      <td>1689.982665</td>\n",
       "      <td>0.000453</td>\n",
       "      <td>1690.155507</td>\n",
       "      <td>0.000453</td>\n",
       "      <td>11.128766</td>\n",
       "      <td>0.000623</td>\n",
       "      <td>11.874293</td>\n",
       "      <td>0.000437</td>\n",
       "      <td>10.286051</td>\n",
       "      <td>0.000263</td>\n",
       "      <td>0.322165</td>\n",
       "      <td>0.000801</td>\n",
       "      <td>0.474081</td>\n",
       "      <td>0.001560</td>\n",
       "      <td>0.297145</td>\n",
       "      <td>0.001063</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.192349</td>\n",
       "      <td>0.003952</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.631537</td>\n",
       "      <td>0.013318</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>29</td>\n",
       "      <td>25</td>\n",
       "      <td>25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 203496585576324224</td>\n",
       "      <td>203496585576324224</td>\n",
       "      <td>1035548707</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>72.449766</td>\n",
       "      <td>0.248530</td>\n",
       "      <td>42.289705</td>\n",
       "      <td>0.199065</td>\n",
       "      <td>0.034005</td>\n",
       "      <td>0.277784</td>\n",
       "      <td>0.122414</td>\n",
       "      <td>5.461575</td>\n",
       "      <td>0.408514</td>\n",
       "      <td>-1.732394</td>\n",
       "      <td>0.320219</td>\n",
       "      <td>-0.047627</td>\n",
       "      <td>0.280996</td>\n",
       "      <td>-0.434538</td>\n",
       "      <td>0.201762</td>\n",
       "      <td>-0.055560</td>\n",
       "      <td>0.123974</td>\n",
       "      <td>-0.673624</td>\n",
       "      <td>0.256609</td>\n",
       "      <td>0.297617</td>\n",
       "      <td>0.058521</td>\n",
       "      <td>245</td>\n",
       "      <td>245</td>\n",
       "      <td>219</td>\n",
       "      <td>26</td>\n",
       "      <td>84.809500</td>\n",
       "      <td>11122.62100</td>\n",
       "      <td>0.977361</td>\n",
       "      <td>2.790395e+02</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>0.953047</td>\n",
       "      <td>1.575466</td>\n",
       "      <td>0.050152</td>\n",
       "      <td>-0.116846</td>\n",
       "      <td>29</td>\n",
       "      <td>12</td>\n",
       "      <td>0.216127</td>\n",
       "      <td>0</td>\n",
       "      <td>33</td>\n",
       "      <td>True</td>\n",
       "      <td>271</td>\n",
       "      <td>6.653765e+06</td>\n",
       "      <td>6.881609e+04</td>\n",
       "      <td>96.689090</td>\n",
       "      <td>8.630697</td>\n",
       "      <td>32</td>\n",
       "      <td>2.783925e+06</td>\n",
       "      <td>9.841705e+04</td>\n",
       "      <td>28.287024</td>\n",
       "      <td>9.239744</td>\n",
       "      <td>32</td>\n",
       "      <td>5.810238e+06</td>\n",
       "      <td>1.421222e+05</td>\n",
       "      <td>40.881990</td>\n",
       "      <td>7.851435</td>\n",
       "      <td>1.291624</td>\n",
       "      <td>0</td>\n",
       "      <td>1.388309</td>\n",
       "      <td>0.609047</td>\n",
       "      <td>0.779262</td>\n",
       "      <td>-9.889489</td>\n",
       "      <td>7.166802</td>\n",
       "      <td>15</td>\n",
       "      <td>4750.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>162.590074</td>\n",
       "      <td>-1.514606</td>\n",
       "      <td>76.295963</td>\n",
       "      <td>19.681754</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4764.3374</td>\n",
       "      <td>4509.9775</td>\n",
       "      <td>5702.0250</td>\n",
       "      <td>0.8857</td>\n",
       "      <td>0.4810</td>\n",
       "      <td>1.3221</td>\n",
       "      <td>0.4585</td>\n",
       "      <td>0.2360</td>\n",
       "      <td>0.7168</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>264</td>\n",
       "      <td>SV Per</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0465</td>\n",
       "      <td>6.789</td>\n",
       "      <td>6.354</td>\n",
       "      <td>6.177</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.03</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.83</td>\n",
       "      <td>0.05</td>\n",
       "      <td>10177</td>\n",
       "      <td>454</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>72.44976</td>\n",
       "      <td>42.28972</td>\n",
       "      <td>0.056477</td>\n",
       "      <td>V* SV Per</td>\n",
       "      <td>72.449734</td>\n",
       "      <td>42.289712</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>125</td>\n",
       "      <td>04 49 47.93613</td>\n",
       "      <td>+42 17 22.9644</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-5.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6-G1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0340</td>\n",
       "      <td>5.46</td>\n",
       "      <td>-1.73</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.740</td>\n",
       "      <td>8.860</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.719</td>\n",
       "      <td>6.231</td>\n",
       "      <td>6.078</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.088811</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>203496585576324224</td>\n",
       "      <td>11.117315</td>\n",
       "      <td>0.000163</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1720.283772</td>\n",
       "      <td>0.000231</td>\n",
       "      <td>1719.835364</td>\n",
       "      <td>0.000231</td>\n",
       "      <td>1720.293746</td>\n",
       "      <td>0.000231</td>\n",
       "      <td>8.598950</td>\n",
       "      <td>0.000138</td>\n",
       "      <td>9.234780</td>\n",
       "      <td>0.000216</td>\n",
       "      <td>7.845512</td>\n",
       "      <td>0.000197</td>\n",
       "      <td>0.535263</td>\n",
       "      <td>0.000504</td>\n",
       "      <td>0.633267</td>\n",
       "      <td>0.001057</td>\n",
       "      <td>0.426667</td>\n",
       "      <td>0.000708</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>27</td>\n",
       "      <td>26</td>\n",
       "      <td>26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 206577210999441536</td>\n",
       "      <td>206577210999441536</td>\n",
       "      <td>592923840</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>74.417004</td>\n",
       "      <td>0.060246</td>\n",
       "      <td>46.092530</td>\n",
       "      <td>0.054962</td>\n",
       "      <td>0.162451</td>\n",
       "      <td>0.060963</td>\n",
       "      <td>2.664737</td>\n",
       "      <td>0.089315</td>\n",
       "      <td>0.120923</td>\n",
       "      <td>-0.231490</td>\n",
       "      <td>0.093171</td>\n",
       "      <td>0.124279</td>\n",
       "      <td>0.004376</td>\n",
       "      <td>-0.553589</td>\n",
       "      <td>-0.092755</td>\n",
       "      <td>-0.191054</td>\n",
       "      <td>-0.114594</td>\n",
       "      <td>-0.793689</td>\n",
       "      <td>0.160358</td>\n",
       "      <td>0.310434</td>\n",
       "      <td>0.171253</td>\n",
       "      <td>188</td>\n",
       "      <td>188</td>\n",
       "      <td>178</td>\n",
       "      <td>10</td>\n",
       "      <td>19.247416</td>\n",
       "      <td>832.88620</td>\n",
       "      <td>0.135728</td>\n",
       "      <td>6.695388e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>42.621680</td>\n",
       "      <td>1.400538</td>\n",
       "      <td>0.012075</td>\n",
       "      <td>-0.063324</td>\n",
       "      <td>22</td>\n",
       "      <td>12</td>\n",
       "      <td>0.075767</td>\n",
       "      <td>0</td>\n",
       "      <td>27</td>\n",
       "      <td>False</td>\n",
       "      <td>213</td>\n",
       "      <td>6.504724e+05</td>\n",
       "      <td>7.361572e+03</td>\n",
       "      <td>88.360520</td>\n",
       "      <td>11.155293</td>\n",
       "      <td>23</td>\n",
       "      <td>2.046691e+05</td>\n",
       "      <td>9.489600e+03</td>\n",
       "      <td>21.567724</td>\n",
       "      <td>12.073757</td>\n",
       "      <td>23</td>\n",
       "      <td>7.285542e+05</td>\n",
       "      <td>2.286344e+04</td>\n",
       "      <td>31.865470</td>\n",
       "      <td>10.105765</td>\n",
       "      <td>1.434686</td>\n",
       "      <td>0</td>\n",
       "      <td>1.967992</td>\n",
       "      <td>0.918464</td>\n",
       "      <td>1.049528</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>160.532439</td>\n",
       "      <td>1.980497</td>\n",
       "      <td>78.298405</td>\n",
       "      <td>23.284249</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3914.0098</td>\n",
       "      <td>3700.5000</td>\n",
       "      <td>4445.3604</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>24</td>\n",
       "      <td>CY Aur</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1414</td>\n",
       "      <td>8.586</td>\n",
       "      <td>7.958</td>\n",
       "      <td>7.709</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.49</td>\n",
       "      <td>0.05</td>\n",
       "      <td>12755</td>\n",
       "      <td>463</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>74.41698</td>\n",
       "      <td>46.09254</td>\n",
       "      <td>0.068603</td>\n",
       "      <td>V* CY Aur</td>\n",
       "      <td>74.417003</td>\n",
       "      <td>46.092531</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>40</td>\n",
       "      <td>04 57 40.08073</td>\n",
       "      <td>+46 05 33.1124</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-13.300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1625</td>\n",
       "      <td>0.09</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.440</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.472</td>\n",
       "      <td>7.817</td>\n",
       "      <td>7.581</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.003846</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>206577210999441536</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.448466</td>\n",
       "      <td>0.000001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1705.417558</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>1740.057139</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>1705.327016</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>11.025900</td>\n",
       "      <td>0.000259</td>\n",
       "      <td>12.006751</td>\n",
       "      <td>0.000210</td>\n",
       "      <td>10.073289</td>\n",
       "      <td>0.000108</td>\n",
       "      <td>0.584489</td>\n",
       "      <td>0.000744</td>\n",
       "      <td>0.546579</td>\n",
       "      <td>0.001152</td>\n",
       "      <td>0.418160</td>\n",
       "      <td>0.000596</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.232762</td>\n",
       "      <td>0.001186</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.003527</td>\n",
       "      <td>0.009323</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>24</td>\n",
       "      <td>22</td>\n",
       "      <td>23</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 228741784865956224</td>\n",
       "      <td>228741784865956224</td>\n",
       "      <td>1414684822</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>64.275280</td>\n",
       "      <td>0.038072</td>\n",
       "      <td>41.731832</td>\n",
       "      <td>0.023671</td>\n",
       "      <td>0.231577</td>\n",
       "      <td>0.048179</td>\n",
       "      <td>4.806564</td>\n",
       "      <td>0.562021</td>\n",
       "      <td>0.084834</td>\n",
       "      <td>-1.252446</td>\n",
       "      <td>0.053465</td>\n",
       "      <td>0.078679</td>\n",
       "      <td>0.229296</td>\n",
       "      <td>-0.120649</td>\n",
       "      <td>0.316878</td>\n",
       "      <td>-0.160586</td>\n",
       "      <td>0.308340</td>\n",
       "      <td>0.278638</td>\n",
       "      <td>0.073516</td>\n",
       "      <td>-0.137963</td>\n",
       "      <td>0.001275</td>\n",
       "      <td>255</td>\n",
       "      <td>255</td>\n",
       "      <td>247</td>\n",
       "      <td>8</td>\n",
       "      <td>6.620218</td>\n",
       "      <td>417.85660</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>306.359440</td>\n",
       "      <td>1.493051</td>\n",
       "      <td>0.007294</td>\n",
       "      <td>-0.014568</td>\n",
       "      <td>30</td>\n",
       "      <td>12</td>\n",
       "      <td>0.051951</td>\n",
       "      <td>0</td>\n",
       "      <td>34</td>\n",
       "      <td>True</td>\n",
       "      <td>287</td>\n",
       "      <td>1.020640e+06</td>\n",
       "      <td>1.248532e+04</td>\n",
       "      <td>81.747215</td>\n",
       "      <td>10.666183</td>\n",
       "      <td>32</td>\n",
       "      <td>3.926126e+05</td>\n",
       "      <td>1.988543e+04</td>\n",
       "      <td>19.743732</td>\n",
       "      <td>11.366478</td>\n",
       "      <td>32</td>\n",
       "      <td>9.253404e+05</td>\n",
       "      <td>2.788594e+04</td>\n",
       "      <td>33.183044</td>\n",
       "      <td>9.846167</td>\n",
       "      <td>1.291300</td>\n",
       "      <td>0</td>\n",
       "      <td>1.520311</td>\n",
       "      <td>0.700294</td>\n",
       "      <td>0.820017</td>\n",
       "      <td>11.395819</td>\n",
       "      <td>4.741909</td>\n",
       "      <td>10</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>158.873475</td>\n",
       "      <td>-6.355418</td>\n",
       "      <td>69.825885</td>\n",
       "      <td>20.077427</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4578.6553</td>\n",
       "      <td>4298.6400</td>\n",
       "      <td>4931.0800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>265</td>\n",
       "      <td>SX Per</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6325</td>\n",
       "      <td>8.757</td>\n",
       "      <td>8.347</td>\n",
       "      <td>8.167</td>\n",
       "      <td>-0.03</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.44</td>\n",
       "      <td>0.05</td>\n",
       "      <td>10851</td>\n",
       "      <td>455</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>64.27525</td>\n",
       "      <td>41.73183</td>\n",
       "      <td>0.079728</td>\n",
       "      <td>V* SX Per</td>\n",
       "      <td>64.275276</td>\n",
       "      <td>41.731838</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>57</td>\n",
       "      <td>04 17 06.06631</td>\n",
       "      <td>+41 43 54.6155</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2316</td>\n",
       "      <td>0.56</td>\n",
       "      <td>-1.25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.210</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.675</td>\n",
       "      <td>8.224</td>\n",
       "      <td>8.097</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.021278</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>228741784865956224</td>\n",
       "      <td>4.290454</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1695.713524</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>1695.504362</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>1695.530119</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>10.673010</td>\n",
       "      <td>0.000254</td>\n",
       "      <td>11.409968</td>\n",
       "      <td>0.000242</td>\n",
       "      <td>9.898076</td>\n",
       "      <td>0.000186</td>\n",
       "      <td>0.704804</td>\n",
       "      <td>0.000762</td>\n",
       "      <td>0.827467</td>\n",
       "      <td>0.000916</td>\n",
       "      <td>0.520841</td>\n",
       "      <td>0.000666</td>\n",
       "      <td>0.211450</td>\n",
       "      <td>0.224979</td>\n",
       "      <td>0.338667</td>\n",
       "      <td>0.000741</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.276103</td>\n",
       "      <td>0.004989</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>29</td>\n",
       "      <td>30</td>\n",
       "      <td>29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 261548119462093568</td>\n",
       "      <td>261548119462093568</td>\n",
       "      <td>159008226</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>77.667624</td>\n",
       "      <td>0.036770</td>\n",
       "      <td>49.687603</td>\n",
       "      <td>0.033677</td>\n",
       "      <td>0.330847</td>\n",
       "      <td>0.043346</td>\n",
       "      <td>7.632632</td>\n",
       "      <td>0.174827</td>\n",
       "      <td>0.077098</td>\n",
       "      <td>-1.824866</td>\n",
       "      <td>0.064046</td>\n",
       "      <td>0.039991</td>\n",
       "      <td>0.282839</td>\n",
       "      <td>-0.368425</td>\n",
       "      <td>-0.104731</td>\n",
       "      <td>-0.282199</td>\n",
       "      <td>-0.144221</td>\n",
       "      <td>-0.637544</td>\n",
       "      <td>-0.071164</td>\n",
       "      <td>0.086996</td>\n",
       "      <td>0.218163</td>\n",
       "      <td>187</td>\n",
       "      <td>187</td>\n",
       "      <td>187</td>\n",
       "      <td>0</td>\n",
       "      <td>2.147576</td>\n",
       "      <td>225.35516</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>240.121630</td>\n",
       "      <td>1.502703</td>\n",
       "      <td>0.007731</td>\n",
       "      <td>0.017724</td>\n",
       "      <td>21</td>\n",
       "      <td>12</td>\n",
       "      <td>0.052082</td>\n",
       "      <td>0</td>\n",
       "      <td>25</td>\n",
       "      <td>False</td>\n",
       "      <td>214</td>\n",
       "      <td>4.201305e+06</td>\n",
       "      <td>4.581171e+04</td>\n",
       "      <td>91.708100</td>\n",
       "      <td>9.129906</td>\n",
       "      <td>24</td>\n",
       "      <td>1.735529e+06</td>\n",
       "      <td>6.852733e+04</td>\n",
       "      <td>25.326086</td>\n",
       "      <td>9.752809</td>\n",
       "      <td>24</td>\n",
       "      <td>3.762607e+06</td>\n",
       "      <td>1.003195e+05</td>\n",
       "      <td>37.506226</td>\n",
       "      <td>8.323197</td>\n",
       "      <td>1.308674</td>\n",
       "      <td>0</td>\n",
       "      <td>1.429611</td>\n",
       "      <td>0.622903</td>\n",
       "      <td>0.806708</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>158.984561</td>\n",
       "      <td>5.889978</td>\n",
       "      <td>81.107960</td>\n",
       "      <td>26.628296</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4426.0000</td>\n",
       "      <td>4378.2500</td>\n",
       "      <td>4631.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>76.188650</td>\n",
       "      <td>69.592674</td>\n",
       "      <td>77.859566</td>\n",
       "      <td>2006.877800</td>\n",
       "      <td>1630.70960</td>\n",
       "      <td>2383.046000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>339</td>\n",
       "      <td>BK Aur</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.9032</td>\n",
       "      <td>7.291</td>\n",
       "      <td>6.885</td>\n",
       "      <td>6.711</td>\n",
       "      <td>-0.07</td>\n",
       "      <td>0.07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.90</td>\n",
       "      <td>0.05</td>\n",
       "      <td>10207</td>\n",
       "      <td>453</td>\n",
       "      <td>a</td>\n",
       "      <td>LEM</td>\n",
       "      <td>77.66760</td>\n",
       "      <td>49.68762</td>\n",
       "      <td>0.081742</td>\n",
       "      <td>V* BK Aur</td>\n",
       "      <td>77.667623</td>\n",
       "      <td>49.687611</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>66</td>\n",
       "      <td>05 10 40.22942</td>\n",
       "      <td>+49 41 15.4001</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-43.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3308</td>\n",
       "      <td>0.18</td>\n",
       "      <td>-1.83</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.400</td>\n",
       "      <td>9.420</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.484</td>\n",
       "      <td>7.006</td>\n",
       "      <td>6.848</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.028415</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>261548119462093568</td>\n",
       "      <td>8.002633</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1688.829680</td>\n",
       "      <td>0.000032</td>\n",
       "      <td>1688.534076</td>\n",
       "      <td>0.000032</td>\n",
       "      <td>1689.886106</td>\n",
       "      <td>0.000032</td>\n",
       "      <td>9.059924</td>\n",
       "      <td>0.000232</td>\n",
       "      <td>9.694419</td>\n",
       "      <td>0.000381</td>\n",
       "      <td>8.321433</td>\n",
       "      <td>0.000260</td>\n",
       "      <td>0.519227</td>\n",
       "      <td>0.000851</td>\n",
       "      <td>0.676216</td>\n",
       "      <td>0.002478</td>\n",
       "      <td>0.424250</td>\n",
       "      <td>0.001111</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.204993</td>\n",
       "      <td>0.001528</td>\n",
       "      <td>0.128792</td>\n",
       "      <td>0.002110</td>\n",
       "      <td>5.124058</td>\n",
       "      <td>0.007491</td>\n",
       "      <td>4.134879</td>\n",
       "      <td>0.011783</td>\n",
       "      <td>24</td>\n",
       "      <td>24</td>\n",
       "      <td>24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 270272675510149504</td>\n",
       "      <td>270272675510149504</td>\n",
       "      <td>641250301</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>64.945245</td>\n",
       "      <td>0.031683</td>\n",
       "      <td>48.953261</td>\n",
       "      <td>0.023316</td>\n",
       "      <td>0.520507</td>\n",
       "      <td>0.037634</td>\n",
       "      <td>13.830791</td>\n",
       "      <td>0.358126</td>\n",
       "      <td>0.059121</td>\n",
       "      <td>-2.411054</td>\n",
       "      <td>0.039181</td>\n",
       "      <td>-0.146303</td>\n",
       "      <td>0.277769</td>\n",
       "      <td>-0.342904</td>\n",
       "      <td>0.388370</td>\n",
       "      <td>-0.156678</td>\n",
       "      <td>0.350144</td>\n",
       "      <td>-0.514140</td>\n",
       "      <td>-0.071590</td>\n",
       "      <td>0.334227</td>\n",
       "      <td>0.231944</td>\n",
       "      <td>445</td>\n",
       "      <td>445</td>\n",
       "      <td>436</td>\n",
       "      <td>9</td>\n",
       "      <td>9.778857</td>\n",
       "      <td>785.57970</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>262.726500</td>\n",
       "      <td>1.437017</td>\n",
       "      <td>0.007110</td>\n",
       "      <td>-0.120221</td>\n",
       "      <td>51</td>\n",
       "      <td>13</td>\n",
       "      <td>0.040523</td>\n",
       "      <td>0</td>\n",
       "      <td>56</td>\n",
       "      <td>False</td>\n",
       "      <td>471</td>\n",
       "      <td>3.729692e+06</td>\n",
       "      <td>3.494803e+04</td>\n",
       "      <td>106.721100</td>\n",
       "      <td>9.259183</td>\n",
       "      <td>55</td>\n",
       "      <td>1.246525e+06</td>\n",
       "      <td>4.765168e+04</td>\n",
       "      <td>26.159094</td>\n",
       "      <td>10.112136</td>\n",
       "      <td>53</td>\n",
       "      <td>3.770821e+06</td>\n",
       "      <td>9.014315e+04</td>\n",
       "      <td>41.831474</td>\n",
       "      <td>8.320830</td>\n",
       "      <td>1.345244</td>\n",
       "      <td>0</td>\n",
       "      <td>1.791305</td>\n",
       "      <td>0.852953</td>\n",
       "      <td>0.938353</td>\n",
       "      <td>-13.204834</td>\n",
       "      <td>11.356676</td>\n",
       "      <td>4</td>\n",
       "      <td>4250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>154.138902</td>\n",
       "      <td>-0.872740</td>\n",
       "      <td>71.799387</td>\n",
       "      <td>27.084897</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3929.0000</td>\n",
       "      <td>3861.2500</td>\n",
       "      <td>4102.7500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>66.531060</td>\n",
       "      <td>61.015247</td>\n",
       "      <td>68.886270</td>\n",
       "      <td>950.324000</td>\n",
       "      <td>847.62146</td>\n",
       "      <td>1053.026500</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>254</td>\n",
       "      <td>AS Per</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6966</td>\n",
       "      <td>6.928</td>\n",
       "      <td>6.477</td>\n",
       "      <td>6.258</td>\n",
       "      <td>0.14</td>\n",
       "      <td>0.11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.70</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9199</td>\n",
       "      <td>452</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>64.94524</td>\n",
       "      <td>48.95327</td>\n",
       "      <td>0.033141</td>\n",
       "      <td>V* AS Per</td>\n",
       "      <td>64.945242</td>\n",
       "      <td>48.953272</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>69</td>\n",
       "      <td>04 19 46.85817</td>\n",
       "      <td>+48 57 11.7782</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-26.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.5205</td>\n",
       "      <td>0.36</td>\n",
       "      <td>-2.41</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.940</td>\n",
       "      <td>9.710</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.827</td>\n",
       "      <td>6.391</td>\n",
       "      <td>6.242</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.037781</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>270272675510149504</td>\n",
       "      <td>4.972485</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1692.874943</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>1692.835432</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>1692.885158</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>9.118680</td>\n",
       "      <td>0.000168</td>\n",
       "      <td>9.986629</td>\n",
       "      <td>0.000357</td>\n",
       "      <td>8.228151</td>\n",
       "      <td>0.000220</td>\n",
       "      <td>0.676655</td>\n",
       "      <td>0.000595</td>\n",
       "      <td>0.865177</td>\n",
       "      <td>0.001126</td>\n",
       "      <td>0.557961</td>\n",
       "      <td>0.000594</td>\n",
       "      <td>-0.016297</td>\n",
       "      <td>0.225002</td>\n",
       "      <td>0.405127</td>\n",
       "      <td>0.001263</td>\n",
       "      <td>0.210634</td>\n",
       "      <td>0.000901</td>\n",
       "      <td>4.588178</td>\n",
       "      <td>0.002502</td>\n",
       "      <td>2.782574</td>\n",
       "      <td>0.005772</td>\n",
       "      <td>52</td>\n",
       "      <td>50</td>\n",
       "      <td>49</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 272444829450300160</td>\n",
       "      <td>272444829450300160</td>\n",
       "      <td>722185364</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>67.577922</td>\n",
       "      <td>0.025832</td>\n",
       "      <td>53.940176</td>\n",
       "      <td>0.021460</td>\n",
       "      <td>0.164937</td>\n",
       "      <td>0.031564</td>\n",
       "      <td>5.225455</td>\n",
       "      <td>0.661631</td>\n",
       "      <td>0.046040</td>\n",
       "      <td>-0.552273</td>\n",
       "      <td>0.039899</td>\n",
       "      <td>-0.139593</td>\n",
       "      <td>0.314059</td>\n",
       "      <td>-0.367214</td>\n",
       "      <td>0.293206</td>\n",
       "      <td>-0.158333</td>\n",
       "      <td>0.261080</td>\n",
       "      <td>-0.388941</td>\n",
       "      <td>-0.053247</td>\n",
       "      <td>0.181546</td>\n",
       "      <td>0.071751</td>\n",
       "      <td>308</td>\n",
       "      <td>308</td>\n",
       "      <td>301</td>\n",
       "      <td>7</td>\n",
       "      <td>7.312889</td>\n",
       "      <td>511.00375</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>376.413420</td>\n",
       "      <td>1.419300</td>\n",
       "      <td>0.005652</td>\n",
       "      <td>-0.031264</td>\n",
       "      <td>35</td>\n",
       "      <td>14</td>\n",
       "      <td>0.033608</td>\n",
       "      <td>0</td>\n",
       "      <td>39</td>\n",
       "      <td>False</td>\n",
       "      <td>326</td>\n",
       "      <td>3.042787e+05</td>\n",
       "      <td>2.783632e+03</td>\n",
       "      <td>109.309940</td>\n",
       "      <td>11.980187</td>\n",
       "      <td>34</td>\n",
       "      <td>9.841167e+04</td>\n",
       "      <td>3.964356e+03</td>\n",
       "      <td>24.824125</td>\n",
       "      <td>12.868772</td>\n",
       "      <td>36</td>\n",
       "      <td>3.175664e+05</td>\n",
       "      <td>8.187294e+03</td>\n",
       "      <td>38.787712</td>\n",
       "      <td>11.007334</td>\n",
       "      <td>1.367096</td>\n",
       "      <td>0</td>\n",
       "      <td>1.861438</td>\n",
       "      <td>0.888584</td>\n",
       "      <td>0.972854</td>\n",
       "      <td>-19.174643</td>\n",
       "      <td>4.244808</td>\n",
       "      <td>8</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>151.719470</td>\n",
       "      <td>3.786109</td>\n",
       "      <td>74.701595</td>\n",
       "      <td>31.685293</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3923.6667</td>\n",
       "      <td>3810.0000</td>\n",
       "      <td>4381.8374</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>49</td>\n",
       "      <td>V359 Cam</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8195</td>\n",
       "      <td>9.557</td>\n",
       "      <td>9.078</td>\n",
       "      <td>8.864</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.70</td>\n",
       "      <td>0.06</td>\n",
       "      <td>13026</td>\n",
       "      <td>469</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>67.57796</td>\n",
       "      <td>53.94019</td>\n",
       "      <td>0.095266</td>\n",
       "      <td>V* V359 Cam</td>\n",
       "      <td>67.577917</td>\n",
       "      <td>53.940178</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>7</td>\n",
       "      <td>04 30 18.70010</td>\n",
       "      <td>+53 56 24.6419</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>*  |IR |cC*|V*</td>\n",
       "      <td>-19.170</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1649</td>\n",
       "      <td>0.66</td>\n",
       "      <td>-0.55</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.479</td>\n",
       "      <td>9.009</td>\n",
       "      <td>8.795</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.013358</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>272444829450300160</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.619513</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1699.854819</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>1699.855334</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>1699.907585</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>11.858023</td>\n",
       "      <td>0.000100</td>\n",
       "      <td>12.740151</td>\n",
       "      <td>0.000276</td>\n",
       "      <td>10.952329</td>\n",
       "      <td>0.000170</td>\n",
       "      <td>0.632828</td>\n",
       "      <td>0.000423</td>\n",
       "      <td>0.822910</td>\n",
       "      <td>0.001272</td>\n",
       "      <td>0.512711</td>\n",
       "      <td>0.000841</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.259472</td>\n",
       "      <td>0.000613</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.710046</td>\n",
       "      <td>0.002341</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>37</td>\n",
       "      <td>34</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 279382060625871360</td>\n",
       "      <td>279382060625871360</td>\n",
       "      <td>1216991330</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>76.631879</td>\n",
       "      <td>0.028462</td>\n",
       "      <td>55.353515</td>\n",
       "      <td>0.023912</td>\n",
       "      <td>1.271754</td>\n",
       "      <td>0.034650</td>\n",
       "      <td>36.702510</td>\n",
       "      <td>4.359813</td>\n",
       "      <td>0.047394</td>\n",
       "      <td>-3.091518</td>\n",
       "      <td>0.042370</td>\n",
       "      <td>-0.508829</td>\n",
       "      <td>0.277593</td>\n",
       "      <td>-0.419416</td>\n",
       "      <td>0.551397</td>\n",
       "      <td>-0.157019</td>\n",
       "      <td>0.545461</td>\n",
       "      <td>-0.343073</td>\n",
       "      <td>0.027228</td>\n",
       "      <td>0.114439</td>\n",
       "      <td>-0.316761</td>\n",
       "      <td>348</td>\n",
       "      <td>348</td>\n",
       "      <td>347</td>\n",
       "      <td>1</td>\n",
       "      <td>2.935170</td>\n",
       "      <td>423.88168</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>131.514110</td>\n",
       "      <td>1.511284</td>\n",
       "      <td>0.006360</td>\n",
       "      <td>-0.014503</td>\n",
       "      <td>39</td>\n",
       "      <td>13</td>\n",
       "      <td>0.039420</td>\n",
       "      <td>0</td>\n",
       "      <td>44</td>\n",
       "      <td>False</td>\n",
       "      <td>355</td>\n",
       "      <td>2.600300e+07</td>\n",
       "      <td>2.003905e+05</td>\n",
       "      <td>129.761660</td>\n",
       "      <td>7.150807</td>\n",
       "      <td>37</td>\n",
       "      <td>1.083615e+07</td>\n",
       "      <td>3.345577e+05</td>\n",
       "      <td>32.389492</td>\n",
       "      <td>7.764200</td>\n",
       "      <td>40</td>\n",
       "      <td>2.107551e+07</td>\n",
       "      <td>4.054443e+05</td>\n",
       "      <td>51.981270</td>\n",
       "      <td>6.452475</td>\n",
       "      <td>1.227230</td>\n",
       "      <td>0</td>\n",
       "      <td>1.311726</td>\n",
       "      <td>0.613393</td>\n",
       "      <td>0.698332</td>\n",
       "      <td>-8.380047</td>\n",
       "      <td>3.225273</td>\n",
       "      <td>18</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>153.992062</td>\n",
       "      <td>8.715022</td>\n",
       "      <td>81.050981</td>\n",
       "      <td>32.328761</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4714.4500</td>\n",
       "      <td>4605.0000</td>\n",
       "      <td>5181.7500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>41.199432</td>\n",
       "      <td>34.103615</td>\n",
       "      <td>43.181133</td>\n",
       "      <td>755.442400</td>\n",
       "      <td>723.45390</td>\n",
       "      <td>787.430850</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>39</td>\n",
       "      <td>CK Cam</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5172</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.93</td>\n",
       "      <td>0.13</td>\n",
       "      <td>8486</td>\n",
       "      <td>453</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>76.63185</td>\n",
       "      <td>55.35353</td>\n",
       "      <td>0.079853</td>\n",
       "      <td>V* CK Cam</td>\n",
       "      <td>76.631846</td>\n",
       "      <td>55.353529</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>40</td>\n",
       "      <td>05 06 31.64310</td>\n",
       "      <td>+55 21 12.7031</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>-8.380</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.2718</td>\n",
       "      <td>4.36</td>\n",
       "      <td>-3.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.560</td>\n",
       "      <td>7.590</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.442</td>\n",
       "      <td>5.122</td>\n",
       "      <td>4.962</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.082842</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>279382060625871360</td>\n",
       "      <td>3.294867</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1700.869860</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1700.863959</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1700.933300</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>7.188510</td>\n",
       "      <td>0.000082</td>\n",
       "      <td>7.810124</td>\n",
       "      <td>0.000314</td>\n",
       "      <td>6.476406</td>\n",
       "      <td>0.000272</td>\n",
       "      <td>0.510398</td>\n",
       "      <td>0.000500</td>\n",
       "      <td>0.723250</td>\n",
       "      <td>0.001731</td>\n",
       "      <td>0.381774</td>\n",
       "      <td>0.001017</td>\n",
       "      <td>0.398431</td>\n",
       "      <td>0.219738</td>\n",
       "      <td>0.271227</td>\n",
       "      <td>0.000576</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.597332</td>\n",
       "      <td>0.003274</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>38</td>\n",
       "      <td>32</td>\n",
       "      <td>37</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 394818721274314112</td>\n",
       "      <td>394818721274314112</td>\n",
       "      <td>911684707</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>6.581046</td>\n",
       "      <td>0.035455</td>\n",
       "      <td>51.280344</td>\n",
       "      <td>0.026314</td>\n",
       "      <td>0.915030</td>\n",
       "      <td>0.046482</td>\n",
       "      <td>19.685543</td>\n",
       "      <td>1.516117</td>\n",
       "      <td>0.062945</td>\n",
       "      <td>-3.390221</td>\n",
       "      <td>0.040483</td>\n",
       "      <td>-0.390416</td>\n",
       "      <td>0.490484</td>\n",
       "      <td>-0.703456</td>\n",
       "      <td>0.397926</td>\n",
       "      <td>-0.197718</td>\n",
       "      <td>0.259368</td>\n",
       "      <td>-0.583207</td>\n",
       "      <td>-0.389294</td>\n",
       "      <td>0.340640</td>\n",
       "      <td>-0.543219</td>\n",
       "      <td>423</td>\n",
       "      <td>423</td>\n",
       "      <td>420</td>\n",
       "      <td>3</td>\n",
       "      <td>8.991188</td>\n",
       "      <td>730.69320</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>94.083244</td>\n",
       "      <td>1.608794</td>\n",
       "      <td>0.007496</td>\n",
       "      <td>-0.024247</td>\n",
       "      <td>48</td>\n",
       "      <td>15</td>\n",
       "      <td>0.047727</td>\n",
       "      <td>0</td>\n",
       "      <td>52</td>\n",
       "      <td>False</td>\n",
       "      <td>420</td>\n",
       "      <td>1.604084e+07</td>\n",
       "      <td>1.258327e+05</td>\n",
       "      <td>127.477490</td>\n",
       "      <td>7.675298</td>\n",
       "      <td>47</td>\n",
       "      <td>8.276126e+06</td>\n",
       "      <td>2.297801e+05</td>\n",
       "      <td>36.017593</td>\n",
       "      <td>8.056821</td>\n",
       "      <td>49</td>\n",
       "      <td>1.054486e+07</td>\n",
       "      <td>1.730958e+05</td>\n",
       "      <td>60.919220</td>\n",
       "      <td>7.204318</td>\n",
       "      <td>1.173317</td>\n",
       "      <td>0</td>\n",
       "      <td>0.852503</td>\n",
       "      <td>0.381523</td>\n",
       "      <td>0.470980</td>\n",
       "      <td>-18.572316</td>\n",
       "      <td>2.739634</td>\n",
       "      <td>24</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>118.930470</td>\n",
       "      <td>-11.396183</td>\n",
       "      <td>31.186433</td>\n",
       "      <td>43.418170</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5767.5000</td>\n",
       "      <td>5628.0000</td>\n",
       "      <td>5860.0000</td>\n",
       "      <td>1.7250</td>\n",
       "      <td>1.2533</td>\n",
       "      <td>1.9831</td>\n",
       "      <td>0.8927</td>\n",
       "      <td>0.6006</td>\n",
       "      <td>1.0291</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>27.557621</td>\n",
       "      <td>26.694494</td>\n",
       "      <td>28.940681</td>\n",
       "      <td>757.057000</td>\n",
       "      <td>702.85620</td>\n",
       "      <td>811.257800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>117</td>\n",
       "      <td>TU Cas</td>\n",
       "      <td>CEP(B)</td>\n",
       "      <td>0.3303</td>\n",
       "      <td>6.681</td>\n",
       "      <td>6.441</td>\n",
       "      <td>6.331</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.76</td>\n",
       "      <td>0.25</td>\n",
       "      <td>8398</td>\n",
       "      <td>453</td>\n",
       "      <td>c*</td>\n",
       "      <td>LII</td>\n",
       "      <td>6.58104</td>\n",
       "      <td>51.28036</td>\n",
       "      <td>0.059137</td>\n",
       "      <td>V* TU Cas</td>\n",
       "      <td>6.581035</td>\n",
       "      <td>51.280359</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>183</td>\n",
       "      <td>00 26 19.44848</td>\n",
       "      <td>+51 16 49.2908</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|WV*|V* |IR |*</td>\n",
       "      <td>-19.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F4</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.9150</td>\n",
       "      <td>1.52</td>\n",
       "      <td>-3.39</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.507</td>\n",
       "      <td>7.835</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.681</td>\n",
       "      <td>6.441</td>\n",
       "      <td>6.331</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.057564</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>394818721274314112</td>\n",
       "      <td>2.138451</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1692.199995</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>1692.163703</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>1692.107512</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>7.584575</td>\n",
       "      <td>0.000091</td>\n",
       "      <td>7.932590</td>\n",
       "      <td>0.000273</td>\n",
       "      <td>7.147491</td>\n",
       "      <td>0.000448</td>\n",
       "      <td>0.612362</td>\n",
       "      <td>0.000369</td>\n",
       "      <td>0.694913</td>\n",
       "      <td>0.000985</td>\n",
       "      <td>0.354442</td>\n",
       "      <td>0.001471</td>\n",
       "      <td>-0.089398</td>\n",
       "      <td>0.219750</td>\n",
       "      <td>0.420132</td>\n",
       "      <td>0.000860</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.361716</td>\n",
       "      <td>0.002113</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>45</td>\n",
       "      <td>45</td>\n",
       "      <td>46</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 422226488141991296</td>\n",
       "      <td>422226488141991296</td>\n",
       "      <td>1076246589</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>3.617657</td>\n",
       "      <td>0.022974</td>\n",
       "      <td>56.252931</td>\n",
       "      <td>0.021650</td>\n",
       "      <td>0.358621</td>\n",
       "      <td>0.032549</td>\n",
       "      <td>11.018047</td>\n",
       "      <td>-2.013318</td>\n",
       "      <td>0.043219</td>\n",
       "      <td>-1.486586</td>\n",
       "      <td>0.038677</td>\n",
       "      <td>-0.228439</td>\n",
       "      <td>0.250477</td>\n",
       "      <td>-0.406722</td>\n",
       "      <td>0.115747</td>\n",
       "      <td>-0.026712</td>\n",
       "      <td>0.070506</td>\n",
       "      <td>-0.313903</td>\n",
       "      <td>-0.206765</td>\n",
       "      <td>0.186474</td>\n",
       "      <td>-0.247944</td>\n",
       "      <td>366</td>\n",
       "      <td>366</td>\n",
       "      <td>355</td>\n",
       "      <td>11</td>\n",
       "      <td>2.150584</td>\n",
       "      <td>409.29770</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>214.703370</td>\n",
       "      <td>1.519756</td>\n",
       "      <td>0.005643</td>\n",
       "      <td>-0.015523</td>\n",
       "      <td>42</td>\n",
       "      <td>18</td>\n",
       "      <td>0.033252</td>\n",
       "      <td>0</td>\n",
       "      <td>44</td>\n",
       "      <td>False</td>\n",
       "      <td>380</td>\n",
       "      <td>5.805332e+06</td>\n",
       "      <td>4.202333e+04</td>\n",
       "      <td>138.145450</td>\n",
       "      <td>8.778798</td>\n",
       "      <td>40</td>\n",
       "      <td>2.553954e+06</td>\n",
       "      <td>6.896216e+04</td>\n",
       "      <td>37.034138</td>\n",
       "      <td>9.333355</td>\n",
       "      <td>41</td>\n",
       "      <td>4.844122e+06</td>\n",
       "      <td>7.905322e+04</td>\n",
       "      <td>61.276720</td>\n",
       "      <td>8.048882</td>\n",
       "      <td>1.274359</td>\n",
       "      <td>0</td>\n",
       "      <td>1.284473</td>\n",
       "      <td>0.554557</td>\n",
       "      <td>0.729916</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>117.782583</td>\n",
       "      <td>-6.248774</td>\n",
       "      <td>33.207845</td>\n",
       "      <td>48.498758</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4751.7466</td>\n",
       "      <td>4695.1553</td>\n",
       "      <td>4899.5000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>67.569730</td>\n",
       "      <td>63.555805</td>\n",
       "      <td>69.208405</td>\n",
       "      <td>2097.066700</td>\n",
       "      <td>1799.84130</td>\n",
       "      <td>2394.292000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>95</td>\n",
       "      <td>FM Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7641</td>\n",
       "      <td>7.128</td>\n",
       "      <td>6.747</td>\n",
       "      <td>6.581</td>\n",
       "      <td>-0.09</td>\n",
       "      <td>-0.03</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.33</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8942</td>\n",
       "      <td>445</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>3.61768</td>\n",
       "      <td>56.25293</td>\n",
       "      <td>0.046795</td>\n",
       "      <td>V* FM Cas</td>\n",
       "      <td>3.617672</td>\n",
       "      <td>56.252937</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>97</td>\n",
       "      <td>00 14 28.24134</td>\n",
       "      <td>+56 15 10.5733</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>-29.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7.5Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3586</td>\n",
       "      <td>-2.01</td>\n",
       "      <td>-1.49</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.150</td>\n",
       "      <td>9.160</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.259</td>\n",
       "      <td>6.823</td>\n",
       "      <td>6.674</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.038791</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>422226488141991296</td>\n",
       "      <td>5.809012</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1684.645633</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>1684.629567</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>1684.763965</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>8.783347</td>\n",
       "      <td>0.000090</td>\n",
       "      <td>9.370835</td>\n",
       "      <td>0.000195</td>\n",
       "      <td>8.082453</td>\n",
       "      <td>0.000146</td>\n",
       "      <td>0.447143</td>\n",
       "      <td>0.000266</td>\n",
       "      <td>0.579773</td>\n",
       "      <td>0.000960</td>\n",
       "      <td>0.348042</td>\n",
       "      <td>0.000624</td>\n",
       "      <td>0.254888</td>\n",
       "      <td>0.233779</td>\n",
       "      <td>0.331923</td>\n",
       "      <td>0.000990</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.818273</td>\n",
       "      <td>0.002740</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>43</td>\n",
       "      <td>38</td>\n",
       "      <td>40</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 422923956470923008</td>\n",
       "      <td>422923956470923008</td>\n",
       "      <td>962266286</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>3.790869</td>\n",
       "      <td>0.023050</td>\n",
       "      <td>58.424281</td>\n",
       "      <td>0.020254</td>\n",
       "      <td>0.398570</td>\n",
       "      <td>0.030092</td>\n",
       "      <td>13.244846</td>\n",
       "      <td>-2.134606</td>\n",
       "      <td>0.042615</td>\n",
       "      <td>-1.882500</td>\n",
       "      <td>0.035885</td>\n",
       "      <td>-0.274615</td>\n",
       "      <td>0.343108</td>\n",
       "      <td>-0.435040</td>\n",
       "      <td>0.201312</td>\n",
       "      <td>-0.123798</td>\n",
       "      <td>0.130450</td>\n",
       "      <td>-0.351472</td>\n",
       "      <td>-0.203807</td>\n",
       "      <td>0.300680</td>\n",
       "      <td>-0.245824</td>\n",
       "      <td>356</td>\n",
       "      <td>356</td>\n",
       "      <td>352</td>\n",
       "      <td>4</td>\n",
       "      <td>5.863434</td>\n",
       "      <td>524.64044</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>256.773600</td>\n",
       "      <td>1.515110</td>\n",
       "      <td>0.005491</td>\n",
       "      <td>-0.024752</td>\n",
       "      <td>41</td>\n",
       "      <td>19</td>\n",
       "      <td>0.033784</td>\n",
       "      <td>0</td>\n",
       "      <td>44</td>\n",
       "      <td>False</td>\n",
       "      <td>375</td>\n",
       "      <td>2.823773e+06</td>\n",
       "      <td>2.878896e+04</td>\n",
       "      <td>98.085290</td>\n",
       "      <td>9.561291</td>\n",
       "      <td>42</td>\n",
       "      <td>1.192466e+06</td>\n",
       "      <td>4.631554e+04</td>\n",
       "      <td>25.746555</td>\n",
       "      <td>10.160274</td>\n",
       "      <td>41</td>\n",
       "      <td>2.313728e+06</td>\n",
       "      <td>5.579073e+04</td>\n",
       "      <td>41.471542</td>\n",
       "      <td>8.851139</td>\n",
       "      <td>1.241669</td>\n",
       "      <td>0</td>\n",
       "      <td>1.309134</td>\n",
       "      <td>0.598983</td>\n",
       "      <td>0.710152</td>\n",
       "      <td>-47.112258</td>\n",
       "      <td>4.121758</td>\n",
       "      <td>4</td>\n",
       "      <td>4750.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>118.185536</td>\n",
       "      <td>-4.112781</td>\n",
       "      <td>35.352016</td>\n",
       "      <td>50.163630</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4781.1150</td>\n",
       "      <td>4664.6750</td>\n",
       "      <td>4820.4000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>41.703396</td>\n",
       "      <td>41.026430</td>\n",
       "      <td>43.811394</td>\n",
       "      <td>818.755800</td>\n",
       "      <td>719.42180</td>\n",
       "      <td>918.089800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>115</td>\n",
       "      <td>SY Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6097</td>\n",
       "      <td>7.816</td>\n",
       "      <td>7.449</td>\n",
       "      <td>7.287</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.10</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.53</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9068</td>\n",
       "      <td>444</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>3.79088</td>\n",
       "      <td>58.42429</td>\n",
       "      <td>0.038821</td>\n",
       "      <td>V* SY Cas</td>\n",
       "      <td>3.790887</td>\n",
       "      <td>58.424289</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>106</td>\n",
       "      <td>00 15 09.81286</td>\n",
       "      <td>+58 25 27.4399</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>-46.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3986</td>\n",
       "      <td>-2.14</td>\n",
       "      <td>-1.88</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.690</td>\n",
       "      <td>9.920</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.863</td>\n",
       "      <td>7.434</td>\n",
       "      <td>7.240</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.044115</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>422923956470923008</td>\n",
       "      <td>4.071170</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1686.442403</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>1686.451030</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>1686.483564</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>9.540854</td>\n",
       "      <td>0.000174</td>\n",
       "      <td>10.138016</td>\n",
       "      <td>0.000202</td>\n",
       "      <td>8.830518</td>\n",
       "      <td>0.000131</td>\n",
       "      <td>0.648722</td>\n",
       "      <td>0.000582</td>\n",
       "      <td>0.824229</td>\n",
       "      <td>0.001692</td>\n",
       "      <td>0.550178</td>\n",
       "      <td>0.000771</td>\n",
       "      <td>0.108297</td>\n",
       "      <td>0.225041</td>\n",
       "      <td>0.368769</td>\n",
       "      <td>0.001705</td>\n",
       "      <td>0.164735</td>\n",
       "      <td>0.000946</td>\n",
       "      <td>4.333996</td>\n",
       "      <td>0.003505</td>\n",
       "      <td>2.457401</td>\n",
       "      <td>0.007680</td>\n",
       "      <td>39</td>\n",
       "      <td>37</td>\n",
       "      <td>35</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 423454573911964544</td>\n",
       "      <td>423454573911964544</td>\n",
       "      <td>951860322</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>14.333519</td>\n",
       "      <td>0.011270</td>\n",
       "      <td>55.438832</td>\n",
       "      <td>0.016155</td>\n",
       "      <td>0.081740</td>\n",
       "      <td>0.027270</td>\n",
       "      <td>2.997461</td>\n",
       "      <td>-1.300794</td>\n",
       "      <td>0.026574</td>\n",
       "      <td>0.039231</td>\n",
       "      <td>0.027346</td>\n",
       "      <td>-0.625004</td>\n",
       "      <td>0.347227</td>\n",
       "      <td>-0.012148</td>\n",
       "      <td>0.091737</td>\n",
       "      <td>-0.392251</td>\n",
       "      <td>0.009124</td>\n",
       "      <td>-0.397504</td>\n",
       "      <td>-0.057695</td>\n",
       "      <td>0.259780</td>\n",
       "      <td>-0.752580</td>\n",
       "      <td>907</td>\n",
       "      <td>9</td>\n",
       "      <td>899</td>\n",
       "      <td>8</td>\n",
       "      <td>-5.066524</td>\n",
       "      <td>695.85650</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>58.763550</td>\n",
       "      <td>1.508863</td>\n",
       "      <td>0.002500</td>\n",
       "      <td>-0.007157</td>\n",
       "      <td>104</td>\n",
       "      <td>18</td>\n",
       "      <td>0.039503</td>\n",
       "      <td>0</td>\n",
       "      <td>107</td>\n",
       "      <td>True</td>\n",
       "      <td>921</td>\n",
       "      <td>4.402127e+04</td>\n",
       "      <td>3.789898e+02</td>\n",
       "      <td>116.154250</td>\n",
       "      <td>14.079209</td>\n",
       "      <td>100</td>\n",
       "      <td>1.850149e+04</td>\n",
       "      <td>5.856680e+02</td>\n",
       "      <td>31.590406</td>\n",
       "      <td>14.683372</td>\n",
       "      <td>98</td>\n",
       "      <td>3.703036e+04</td>\n",
       "      <td>8.293123e+02</td>\n",
       "      <td>44.651890</td>\n",
       "      <td>13.340526</td>\n",
       "      <td>1.261478</td>\n",
       "      <td>0</td>\n",
       "      <td>1.342846</td>\n",
       "      <td>0.604162</td>\n",
       "      <td>0.738684</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>123.775127</td>\n",
       "      <td>-7.423265</td>\n",
       "      <td>39.707448</td>\n",
       "      <td>44.403079</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4952.2500</td>\n",
       "      <td>4755.6470</td>\n",
       "      <td>5089.0000</td>\n",
       "      <td>0.2525</td>\n",
       "      <td>0.0280</td>\n",
       "      <td>1.8086</td>\n",
       "      <td>0.1317</td>\n",
       "      <td>0.0160</td>\n",
       "      <td>0.8185</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>101</td>\n",
       "      <td>HK Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.3979</td>\n",
       "      <td>12.016</td>\n",
       "      <td>11.831</td>\n",
       "      <td>11.668</td>\n",
       "      <td>0.45</td>\n",
       "      <td>0.42</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15.34</td>\n",
       "      <td>0.07</td>\n",
       "      <td>17296</td>\n",
       "      <td>498</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>14.33350</td>\n",
       "      <td>55.43883</td>\n",
       "      <td>0.040283</td>\n",
       "      <td>V* HK Cas</td>\n",
       "      <td>14.333529</td>\n",
       "      <td>55.438832</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>17</td>\n",
       "      <td>00 57 20.04705</td>\n",
       "      <td>+55 26 19.7936</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |IR |V*</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0817</td>\n",
       "      <td>-1.30</td>\n",
       "      <td>0.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.223</td>\n",
       "      <td>11.926</td>\n",
       "      <td>11.751</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.020171</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>423454573911964544</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.499592</td>\n",
       "      <td>0.000001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1692.628479</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>1692.606364</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>1692.858917</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>14.005284</td>\n",
       "      <td>0.000055</td>\n",
       "      <td>14.572020</td>\n",
       "      <td>0.000284</td>\n",
       "      <td>13.287914</td>\n",
       "      <td>0.000175</td>\n",
       "      <td>0.837785</td>\n",
       "      <td>0.000541</td>\n",
       "      <td>1.086909</td>\n",
       "      <td>0.003144</td>\n",
       "      <td>0.707473</td>\n",
       "      <td>0.002214</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.285837</td>\n",
       "      <td>0.000293</td>\n",
       "      <td>0.130332</td>\n",
       "      <td>0.000273</td>\n",
       "      <td>5.090250</td>\n",
       "      <td>0.001363</td>\n",
       "      <td>3.155892</td>\n",
       "      <td>0.002471</td>\n",
       "      <td>105</td>\n",
       "      <td>99</td>\n",
       "      <td>98</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 425324052915862912</td>\n",
       "      <td>425324052915862912</td>\n",
       "      <td>969974352</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>10.096641</td>\n",
       "      <td>0.014616</td>\n",
       "      <td>58.618521</td>\n",
       "      <td>0.014936</td>\n",
       "      <td>0.053334</td>\n",
       "      <td>0.020497</td>\n",
       "      <td>2.602029</td>\n",
       "      <td>-1.401096</td>\n",
       "      <td>0.026449</td>\n",
       "      <td>-0.130341</td>\n",
       "      <td>0.024713</td>\n",
       "      <td>-0.271482</td>\n",
       "      <td>0.198903</td>\n",
       "      <td>-0.507831</td>\n",
       "      <td>0.208619</td>\n",
       "      <td>0.011436</td>\n",
       "      <td>0.160393</td>\n",
       "      <td>-0.497535</td>\n",
       "      <td>-0.145017</td>\n",
       "      <td>0.180842</td>\n",
       "      <td>-0.392567</td>\n",
       "      <td>393</td>\n",
       "      <td>89</td>\n",
       "      <td>390</td>\n",
       "      <td>3</td>\n",
       "      <td>-1.739331</td>\n",
       "      <td>338.11252</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>147.262480</td>\n",
       "      <td>1.521289</td>\n",
       "      <td>0.003283</td>\n",
       "      <td>-0.030423</td>\n",
       "      <td>45</td>\n",
       "      <td>19</td>\n",
       "      <td>0.034308</td>\n",
       "      <td>0</td>\n",
       "      <td>48</td>\n",
       "      <td>False</td>\n",
       "      <td>420</td>\n",
       "      <td>1.124777e+05</td>\n",
       "      <td>6.458737e+02</td>\n",
       "      <td>174.148180</td>\n",
       "      <td>13.060699</td>\n",
       "      <td>47</td>\n",
       "      <td>5.052919e+04</td>\n",
       "      <td>1.085797e+03</td>\n",
       "      <td>46.536500</td>\n",
       "      <td>13.592532</td>\n",
       "      <td>47</td>\n",
       "      <td>9.126811e+04</td>\n",
       "      <td>1.253199e+03</td>\n",
       "      <td>72.828125</td>\n",
       "      <td>12.361122</td>\n",
       "      <td>1.260670</td>\n",
       "      <td>0</td>\n",
       "      <td>1.231410</td>\n",
       "      <td>0.531833</td>\n",
       "      <td>0.699577</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>121.489708</td>\n",
       "      <td>-4.222279</td>\n",
       "      <td>39.548829</td>\n",
       "      <td>48.327661</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4849.0000</td>\n",
       "      <td>4692.3335</td>\n",
       "      <td>5027.7650</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>106</td>\n",
       "      <td>NY Cas</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.4507</td>\n",
       "      <td>11.398</td>\n",
       "      <td>10.985</td>\n",
       "      <td>10.850</td>\n",
       "      <td>-0.46</td>\n",
       "      <td>-0.49</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15.27</td>\n",
       "      <td>0.12</td>\n",
       "      <td>16839</td>\n",
       "      <td>693</td>\n",
       "      <td>c*</td>\n",
       "      <td>LIII</td>\n",
       "      <td>10.09667</td>\n",
       "      <td>58.61853</td>\n",
       "      <td>0.063276</td>\n",
       "      <td>V* NY Cas</td>\n",
       "      <td>10.096652</td>\n",
       "      <td>58.618522</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>27</td>\n",
       "      <td>00 40 23.19655</td>\n",
       "      <td>+58 37 06.6786</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |IR |V* |Ce*</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0533</td>\n",
       "      <td>-1.40</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.398</td>\n",
       "      <td>10.985</td>\n",
       "      <td>10.850</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.021811</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>425324052915862912</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.823216</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1692.109836</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>1692.107661</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>1692.138657</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>13.029323</td>\n",
       "      <td>0.000076</td>\n",
       "      <td>13.548084</td>\n",
       "      <td>0.000280</td>\n",
       "      <td>12.343640</td>\n",
       "      <td>0.000225</td>\n",
       "      <td>0.368491</td>\n",
       "      <td>0.000319</td>\n",
       "      <td>0.465986</td>\n",
       "      <td>0.001644</td>\n",
       "      <td>0.278282</td>\n",
       "      <td>0.002649</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.113565</td>\n",
       "      <td>0.000693</td>\n",
       "      <td>0.074964</td>\n",
       "      <td>0.000954</td>\n",
       "      <td>3.186116</td>\n",
       "      <td>0.007292</td>\n",
       "      <td>5.652777</td>\n",
       "      <td>0.012836</td>\n",
       "      <td>48</td>\n",
       "      <td>47</td>\n",
       "      <td>46</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 426881614218441600</td>\n",
       "      <td>426881614218441600</td>\n",
       "      <td>525037234</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>12.471921</td>\n",
       "      <td>0.019833</td>\n",
       "      <td>60.127379</td>\n",
       "      <td>0.024704</td>\n",
       "      <td>0.403431</td>\n",
       "      <td>0.030089</td>\n",
       "      <td>13.408034</td>\n",
       "      <td>-1.402254</td>\n",
       "      <td>0.037826</td>\n",
       "      <td>-0.881949</td>\n",
       "      <td>0.045797</td>\n",
       "      <td>-0.226227</td>\n",
       "      <td>0.273631</td>\n",
       "      <td>-0.354586</td>\n",
       "      <td>0.129015</td>\n",
       "      <td>-0.148422</td>\n",
       "      <td>0.107157</td>\n",
       "      <td>-0.499027</td>\n",
       "      <td>-0.106456</td>\n",
       "      <td>0.190381</td>\n",
       "      <td>-0.317832</td>\n",
       "      <td>366</td>\n",
       "      <td>366</td>\n",
       "      <td>353</td>\n",
       "      <td>13</td>\n",
       "      <td>9.094126</td>\n",
       "      <td>646.27070</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>251.477450</td>\n",
       "      <td>1.494256</td>\n",
       "      <td>0.005335</td>\n",
       "      <td>0.028240</td>\n",
       "      <td>43</td>\n",
       "      <td>19</td>\n",
       "      <td>0.036393</td>\n",
       "      <td>0</td>\n",
       "      <td>48</td>\n",
       "      <td>False</td>\n",
       "      <td>404</td>\n",
       "      <td>2.726976e+06</td>\n",
       "      <td>1.733840e+04</td>\n",
       "      <td>157.279560</td>\n",
       "      <td>9.599162</td>\n",
       "      <td>43</td>\n",
       "      <td>1.059731e+06</td>\n",
       "      <td>2.887548e+04</td>\n",
       "      <td>36.700027</td>\n",
       "      <td>10.288399</td>\n",
       "      <td>46</td>\n",
       "      <td>2.391252e+06</td>\n",
       "      <td>3.761503e+04</td>\n",
       "      <td>63.571712</td>\n",
       "      <td>8.815356</td>\n",
       "      <td>1.265498</td>\n",
       "      <td>0</td>\n",
       "      <td>1.473043</td>\n",
       "      <td>0.689237</td>\n",
       "      <td>0.783806</td>\n",
       "      <td>-36.177072</td>\n",
       "      <td>4.229824</td>\n",
       "      <td>10</td>\n",
       "      <td>4500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>122.738667</td>\n",
       "      <td>-2.743789</td>\n",
       "      <td>42.370682</td>\n",
       "      <td>48.832986</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4623.9100</td>\n",
       "      <td>4418.3066</td>\n",
       "      <td>4764.7466</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>44.377384</td>\n",
       "      <td>41.792744</td>\n",
       "      <td>48.603638</td>\n",
       "      <td>811.065060</td>\n",
       "      <td>714.06433</td>\n",
       "      <td>908.065800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>133</td>\n",
       "      <td>XY Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6534</td>\n",
       "      <td>7.735</td>\n",
       "      <td>7.336</td>\n",
       "      <td>7.156</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.51</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9178</td>\n",
       "      <td>445</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>12.47194</td>\n",
       "      <td>60.12739</td>\n",
       "      <td>0.052001</td>\n",
       "      <td>V* XY Cas</td>\n",
       "      <td>12.471933</td>\n",
       "      <td>60.127383</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>96</td>\n",
       "      <td>00 49 53.26392</td>\n",
       "      <td>+60 07 38.5786</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>-42.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4034</td>\n",
       "      <td>-1.40</td>\n",
       "      <td>-0.88</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.000</td>\n",
       "      <td>9.970</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.658</td>\n",
       "      <td>7.280</td>\n",
       "      <td>7.121</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.025676</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>426881614218441600</td>\n",
       "      <td>4.501624</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1687.529885</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>1687.466554</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>1687.525371</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>9.548107</td>\n",
       "      <td>0.000065</td>\n",
       "      <td>10.212858</td>\n",
       "      <td>0.000206</td>\n",
       "      <td>8.790977</td>\n",
       "      <td>0.000140</td>\n",
       "      <td>0.474496</td>\n",
       "      <td>0.000341</td>\n",
       "      <td>0.606904</td>\n",
       "      <td>0.000962</td>\n",
       "      <td>0.379572</td>\n",
       "      <td>0.000685</td>\n",
       "      <td>0.145705</td>\n",
       "      <td>0.224970</td>\n",
       "      <td>0.357853</td>\n",
       "      <td>0.000489</td>\n",
       "      <td>0.128400</td>\n",
       "      <td>0.001046</td>\n",
       "      <td>4.382908</td>\n",
       "      <td>0.002149</td>\n",
       "      <td>2.600379</td>\n",
       "      <td>0.005676</td>\n",
       "      <td>43</td>\n",
       "      <td>39</td>\n",
       "      <td>40</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 428620663657823232</td>\n",
       "      <td>428620663657823232</td>\n",
       "      <td>260888044</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>7.494097</td>\n",
       "      <td>0.026029</td>\n",
       "      <td>60.211957</td>\n",
       "      <td>0.026153</td>\n",
       "      <td>0.422230</td>\n",
       "      <td>0.034159</td>\n",
       "      <td>12.360599</td>\n",
       "      <td>-2.569002</td>\n",
       "      <td>0.048543</td>\n",
       "      <td>-1.470176</td>\n",
       "      <td>0.046957</td>\n",
       "      <td>-0.228452</td>\n",
       "      <td>0.129287</td>\n",
       "      <td>-0.537847</td>\n",
       "      <td>0.150221</td>\n",
       "      <td>-0.059080</td>\n",
       "      <td>0.121969</td>\n",
       "      <td>-0.421384</td>\n",
       "      <td>-0.048320</td>\n",
       "      <td>0.189876</td>\n",
       "      <td>-0.251942</td>\n",
       "      <td>344</td>\n",
       "      <td>344</td>\n",
       "      <td>337</td>\n",
       "      <td>7</td>\n",
       "      <td>8.882199</td>\n",
       "      <td>616.49500</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>163.653960</td>\n",
       "      <td>1.498349</td>\n",
       "      <td>0.005292</td>\n",
       "      <td>0.071789</td>\n",
       "      <td>40</td>\n",
       "      <td>19</td>\n",
       "      <td>0.038331</td>\n",
       "      <td>0</td>\n",
       "      <td>46</td>\n",
       "      <td>True</td>\n",
       "      <td>374</td>\n",
       "      <td>7.002688e+06</td>\n",
       "      <td>5.149902e+04</td>\n",
       "      <td>135.977100</td>\n",
       "      <td>8.575204</td>\n",
       "      <td>42</td>\n",
       "      <td>2.598033e+06</td>\n",
       "      <td>7.492287e+04</td>\n",
       "      <td>34.676100</td>\n",
       "      <td>9.314776</td>\n",
       "      <td>43</td>\n",
       "      <td>6.362256e+06</td>\n",
       "      <td>1.242012e+05</td>\n",
       "      <td>51.225395</td>\n",
       "      <td>7.752892</td>\n",
       "      <td>1.279550</td>\n",
       "      <td>0</td>\n",
       "      <td>1.561884</td>\n",
       "      <td>0.739573</td>\n",
       "      <td>0.822312</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>120.266734</td>\n",
       "      <td>-2.548686</td>\n",
       "      <td>39.405624</td>\n",
       "      <td>50.397096</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4397.6353</td>\n",
       "      <td>4249.5034</td>\n",
       "      <td>4644.9500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>78.561990</td>\n",
       "      <td>70.418820</td>\n",
       "      <td>84.134575</td>\n",
       "      <td>2079.680000</td>\n",
       "      <td>1820.92820</td>\n",
       "      <td>2338.431600</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>92</td>\n",
       "      <td>DL Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.9031</td>\n",
       "      <td>6.550</td>\n",
       "      <td>6.101</td>\n",
       "      <td>5.892</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>0.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.03</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8859</td>\n",
       "      <td>447</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>7.49412</td>\n",
       "      <td>60.21196</td>\n",
       "      <td>0.042228</td>\n",
       "      <td>V* DL Cas</td>\n",
       "      <td>7.494119</td>\n",
       "      <td>60.211964</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>285</td>\n",
       "      <td>00 29 58.58861</td>\n",
       "      <td>+60 12 43.0697</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*  |*iC|SB*</td>\n",
       "      <td>-36.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G1Ib-IIHdel-1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4222</td>\n",
       "      <td>-2.57</td>\n",
       "      <td>-1.47</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.880</td>\n",
       "      <td>8.630</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.536</td>\n",
       "      <td>5.995</td>\n",
       "      <td>5.857</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.045879</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>428620663657823232</td>\n",
       "      <td>8.000656</td>\n",
       "      <td>0.000033</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1679.857878</td>\n",
       "      <td>0.000047</td>\n",
       "      <td>1679.770630</td>\n",
       "      <td>0.000047</td>\n",
       "      <td>1680.269791</td>\n",
       "      <td>0.000047</td>\n",
       "      <td>8.504816</td>\n",
       "      <td>0.000180</td>\n",
       "      <td>9.229527</td>\n",
       "      <td>0.000422</td>\n",
       "      <td>7.708607</td>\n",
       "      <td>0.000163</td>\n",
       "      <td>0.458489</td>\n",
       "      <td>0.000653</td>\n",
       "      <td>0.601164</td>\n",
       "      <td>0.001489</td>\n",
       "      <td>0.364656</td>\n",
       "      <td>0.000738</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.277753</td>\n",
       "      <td>0.001388</td>\n",
       "      <td>0.113120</td>\n",
       "      <td>0.000904</td>\n",
       "      <td>5.158551</td>\n",
       "      <td>0.003080</td>\n",
       "      <td>3.336720</td>\n",
       "      <td>0.008655</td>\n",
       "      <td>41</td>\n",
       "      <td>36</td>\n",
       "      <td>37</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 428839329030983040</td>\n",
       "      <td>428839329030983040</td>\n",
       "      <td>935554614</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>6.649803</td>\n",
       "      <td>0.021567</td>\n",
       "      <td>60.798170</td>\n",
       "      <td>0.022790</td>\n",
       "      <td>0.509232</td>\n",
       "      <td>0.029839</td>\n",
       "      <td>17.065891</td>\n",
       "      <td>-2.648587</td>\n",
       "      <td>0.042496</td>\n",
       "      <td>-1.171550</td>\n",
       "      <td>0.049273</td>\n",
       "      <td>-0.223674</td>\n",
       "      <td>0.157316</td>\n",
       "      <td>-0.416845</td>\n",
       "      <td>0.145531</td>\n",
       "      <td>-0.016292</td>\n",
       "      <td>0.104546</td>\n",
       "      <td>-0.215308</td>\n",
       "      <td>-0.248010</td>\n",
       "      <td>0.156867</td>\n",
       "      <td>-0.366967</td>\n",
       "      <td>335</td>\n",
       "      <td>335</td>\n",
       "      <td>329</td>\n",
       "      <td>6</td>\n",
       "      <td>3.280615</td>\n",
       "      <td>414.10560</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>230.186740</td>\n",
       "      <td>1.485294</td>\n",
       "      <td>0.005759</td>\n",
       "      <td>0.006450</td>\n",
       "      <td>39</td>\n",
       "      <td>19</td>\n",
       "      <td>0.039075</td>\n",
       "      <td>0</td>\n",
       "      <td>46</td>\n",
       "      <td>True</td>\n",
       "      <td>385</td>\n",
       "      <td>6.331780e+06</td>\n",
       "      <td>3.295740e+04</td>\n",
       "      <td>192.120100</td>\n",
       "      <td>8.684551</td>\n",
       "      <td>45</td>\n",
       "      <td>2.460576e+06</td>\n",
       "      <td>4.816620e+04</td>\n",
       "      <td>51.085114</td>\n",
       "      <td>9.373796</td>\n",
       "      <td>44</td>\n",
       "      <td>5.615222e+06</td>\n",
       "      <td>6.772423e+04</td>\n",
       "      <td>82.913030</td>\n",
       "      <td>7.888503</td>\n",
       "      <td>1.275439</td>\n",
       "      <td>0</td>\n",
       "      <td>1.485294</td>\n",
       "      <td>0.689245</td>\n",
       "      <td>0.796049</td>\n",
       "      <td>-43.472780</td>\n",
       "      <td>4.856911</td>\n",
       "      <td>4</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>119.905104</td>\n",
       "      <td>-1.927520</td>\n",
       "      <td>39.470428</td>\n",
       "      <td>51.114550</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4432.8700</td>\n",
       "      <td>4338.7400</td>\n",
       "      <td>4614.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>60.489480</td>\n",
       "      <td>55.833477</td>\n",
       "      <td>63.142612</td>\n",
       "      <td>1272.900400</td>\n",
       "      <td>1152.94060</td>\n",
       "      <td>1392.860200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>126</td>\n",
       "      <td>V379 Cas</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.6340</td>\n",
       "      <td>6.816</td>\n",
       "      <td>6.362</td>\n",
       "      <td>6.217</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.23</td>\n",
       "      <td>0.09</td>\n",
       "      <td>8950</td>\n",
       "      <td>447</td>\n",
       "      <td>c*</td>\n",
       "      <td>LII</td>\n",
       "      <td>6.64980</td>\n",
       "      <td>60.79818</td>\n",
       "      <td>0.035373</td>\n",
       "      <td>V* V379 Cas</td>\n",
       "      <td>6.649827</td>\n",
       "      <td>60.798175</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>35</td>\n",
       "      <td>00 26 35.95837</td>\n",
       "      <td>+60 47 53.4312</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>-43.470</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.5092</td>\n",
       "      <td>-2.65</td>\n",
       "      <td>-1.17</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.180</td>\n",
       "      <td>9.160</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.816</td>\n",
       "      <td>6.362</td>\n",
       "      <td>6.217</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.044890</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>428839329030983040</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.306485</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1687.370456</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>1687.348503</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>1687.307845</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>8.677527</td>\n",
       "      <td>0.000091</td>\n",
       "      <td>9.371368</td>\n",
       "      <td>0.000196</td>\n",
       "      <td>7.899946</td>\n",
       "      <td>0.000143</td>\n",
       "      <td>0.260049</td>\n",
       "      <td>0.000238</td>\n",
       "      <td>0.341360</td>\n",
       "      <td>0.000509</td>\n",
       "      <td>0.214946</td>\n",
       "      <td>0.000515</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.171065</td>\n",
       "      <td>0.001423</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.006755</td>\n",
       "      <td>0.009031</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>39</td>\n",
       "      <td>39</td>\n",
       "      <td>38</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 429385923752386944</td>\n",
       "      <td>429385923752386944</td>\n",
       "      <td>1063909821</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>0.246799</td>\n",
       "      <td>0.022300</td>\n",
       "      <td>60.959002</td>\n",
       "      <td>0.023021</td>\n",
       "      <td>0.223627</td>\n",
       "      <td>0.029940</td>\n",
       "      <td>7.469092</td>\n",
       "      <td>-3.175507</td>\n",
       "      <td>0.043401</td>\n",
       "      <td>-1.611164</td>\n",
       "      <td>0.040379</td>\n",
       "      <td>-0.093586</td>\n",
       "      <td>0.262891</td>\n",
       "      <td>-0.366990</td>\n",
       "      <td>0.122235</td>\n",
       "      <td>-0.130450</td>\n",
       "      <td>0.078341</td>\n",
       "      <td>-0.450324</td>\n",
       "      <td>-0.225160</td>\n",
       "      <td>0.294976</td>\n",
       "      <td>-0.132852</td>\n",
       "      <td>319</td>\n",
       "      <td>319</td>\n",
       "      <td>302</td>\n",
       "      <td>17</td>\n",
       "      <td>9.546684</td>\n",
       "      <td>594.66150</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>319.099500</td>\n",
       "      <td>1.454372</td>\n",
       "      <td>0.006333</td>\n",
       "      <td>0.040415</td>\n",
       "      <td>36</td>\n",
       "      <td>19</td>\n",
       "      <td>0.033706</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>False</td>\n",
       "      <td>354</td>\n",
       "      <td>7.662229e+05</td>\n",
       "      <td>5.823333e+03</td>\n",
       "      <td>131.578060</td>\n",
       "      <td>10.977478</td>\n",
       "      <td>39</td>\n",
       "      <td>2.586441e+05</td>\n",
       "      <td>8.675209e+03</td>\n",
       "      <td>29.814160</td>\n",
       "      <td>11.819632</td>\n",
       "      <td>39</td>\n",
       "      <td>7.444376e+05</td>\n",
       "      <td>1.447616e+04</td>\n",
       "      <td>51.425080</td>\n",
       "      <td>10.082349</td>\n",
       "      <td>1.309125</td>\n",
       "      <td>0</td>\n",
       "      <td>1.737283</td>\n",
       "      <td>0.842154</td>\n",
       "      <td>0.895129</td>\n",
       "      <td>-69.665954</td>\n",
       "      <td>5.344413</td>\n",
       "      <td>6</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>116.845568</td>\n",
       "      <td>-1.315166</td>\n",
       "      <td>35.767401</td>\n",
       "      <td>53.254200</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4217.0000</td>\n",
       "      <td>3953.1100</td>\n",
       "      <td>4517.1997</td>\n",
       "      <td>0.8635</td>\n",
       "      <td>0.4269</td>\n",
       "      <td>2.0788</td>\n",
       "      <td>0.3850</td>\n",
       "      <td>0.2149</td>\n",
       "      <td>1.0598</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>55.797500</td>\n",
       "      <td>48.627663</td>\n",
       "      <td>63.495674</td>\n",
       "      <td>887.030640</td>\n",
       "      <td>696.42050</td>\n",
       "      <td>1077.640900</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>85</td>\n",
       "      <td>CG Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6400</td>\n",
       "      <td>8.903</td>\n",
       "      <td>8.299</td>\n",
       "      <td>8.109</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.06</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.26</td>\n",
       "      <td>0.07</td>\n",
       "      <td>9557</td>\n",
       "      <td>440</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>0.24687</td>\n",
       "      <td>60.95895</td>\n",
       "      <td>0.224896</td>\n",
       "      <td>V* CG Cas</td>\n",
       "      <td>0.246827</td>\n",
       "      <td>60.959009</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>75</td>\n",
       "      <td>00 00 59.23841</td>\n",
       "      <td>+60 57 32.4320</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-87.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2236</td>\n",
       "      <td>-3.18</td>\n",
       "      <td>-1.61</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.700</td>\n",
       "      <td>11.280</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.832</td>\n",
       "      <td>8.313</td>\n",
       "      <td>8.136</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.055193</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>429385923752386944</td>\n",
       "      <td>4.365159</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1687.208679</td>\n",
       "      <td>0.000028</td>\n",
       "      <td>1687.286771</td>\n",
       "      <td>0.000028</td>\n",
       "      <td>1687.265057</td>\n",
       "      <td>0.000028</td>\n",
       "      <td>10.859208</td>\n",
       "      <td>0.000267</td>\n",
       "      <td>11.525983</td>\n",
       "      <td>0.008983</td>\n",
       "      <td>9.964414</td>\n",
       "      <td>0.002845</td>\n",
       "      <td>0.640531</td>\n",
       "      <td>0.000990</td>\n",
       "      <td>1.162641</td>\n",
       "      <td>0.023351</td>\n",
       "      <td>0.610055</td>\n",
       "      <td>0.009910</td>\n",
       "      <td>0.023813</td>\n",
       "      <td>0.225022</td>\n",
       "      <td>0.393423</td>\n",
       "      <td>0.001400</td>\n",
       "      <td>0.138997</td>\n",
       "      <td>0.000912</td>\n",
       "      <td>4.355993</td>\n",
       "      <td>0.002156</td>\n",
       "      <td>2.223397</td>\n",
       "      <td>0.009012</td>\n",
       "      <td>40</td>\n",
       "      <td>31</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 429544700100302080</td>\n",
       "      <td>429544700100302080</td>\n",
       "      <td>1076025814</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>4.260412</td>\n",
       "      <td>0.012296</td>\n",
       "      <td>60.802804</td>\n",
       "      <td>0.013751</td>\n",
       "      <td>0.067104</td>\n",
       "      <td>0.017046</td>\n",
       "      <td>3.936754</td>\n",
       "      <td>-1.704906</td>\n",
       "      <td>0.023928</td>\n",
       "      <td>-0.516718</td>\n",
       "      <td>0.026144</td>\n",
       "      <td>-0.060513</td>\n",
       "      <td>0.175479</td>\n",
       "      <td>-0.367902</td>\n",
       "      <td>0.005336</td>\n",
       "      <td>0.072171</td>\n",
       "      <td>-0.031330</td>\n",
       "      <td>-0.218446</td>\n",
       "      <td>-0.158860</td>\n",
       "      <td>0.054568</td>\n",
       "      <td>-0.178117</td>\n",
       "      <td>317</td>\n",
       "      <td>0</td>\n",
       "      <td>314</td>\n",
       "      <td>3</td>\n",
       "      <td>0.471131</td>\n",
       "      <td>320.17760</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>86.021350</td>\n",
       "      <td>1.419433</td>\n",
       "      <td>0.003096</td>\n",
       "      <td>0.032872</td>\n",
       "      <td>37</td>\n",
       "      <td>19</td>\n",
       "      <td>0.034870</td>\n",
       "      <td>0</td>\n",
       "      <td>41</td>\n",
       "      <td>False</td>\n",
       "      <td>351</td>\n",
       "      <td>6.365318e+04</td>\n",
       "      <td>7.476532e+02</td>\n",
       "      <td>85.137310</td>\n",
       "      <td>13.678816</td>\n",
       "      <td>40</td>\n",
       "      <td>1.882119e+04</td>\n",
       "      <td>8.689490e+02</td>\n",
       "      <td>21.659723</td>\n",
       "      <td>14.664770</td>\n",
       "      <td>40</td>\n",
       "      <td>6.725497e+04</td>\n",
       "      <td>2.016233e+03</td>\n",
       "      <td>33.356743</td>\n",
       "      <td>12.692609</td>\n",
       "      <td>1.352268</td>\n",
       "      <td>0</td>\n",
       "      <td>1.972161</td>\n",
       "      <td>0.985954</td>\n",
       "      <td>0.986207</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>118.747121</td>\n",
       "      <td>-1.789163</td>\n",
       "      <td>38.030418</td>\n",
       "      <td>51.859337</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3730.3333</td>\n",
       "      <td>3687.5000</td>\n",
       "      <td>4024.5752</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>96</td>\n",
       "      <td>FO Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8324</td>\n",
       "      <td>11.136</td>\n",
       "      <td>10.529</td>\n",
       "      <td>10.267</td>\n",
       "      <td>-0.56</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15.02</td>\n",
       "      <td>0.06</td>\n",
       "      <td>15552</td>\n",
       "      <td>459</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>4.26042</td>\n",
       "      <td>60.80281</td>\n",
       "      <td>0.026458</td>\n",
       "      <td>V* FO Cas</td>\n",
       "      <td>4.260427</td>\n",
       "      <td>60.802806</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>19</td>\n",
       "      <td>00 17 02.50252</td>\n",
       "      <td>+60 48 10.1015</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |IR</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0671</td>\n",
       "      <td>-1.71</td>\n",
       "      <td>-0.52</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15.670</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.294</td>\n",
       "      <td>10.659</td>\n",
       "      <td>10.393</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.027613</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>429544700100302080</td>\n",
       "      <td>6.798277</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1683.183262</td>\n",
       "      <td>0.000035</td>\n",
       "      <td>1683.183351</td>\n",
       "      <td>0.000035</td>\n",
       "      <td>1683.245516</td>\n",
       "      <td>0.000035</td>\n",
       "      <td>13.650070</td>\n",
       "      <td>0.000484</td>\n",
       "      <td>14.600640</td>\n",
       "      <td>0.001330</td>\n",
       "      <td>12.667042</td>\n",
       "      <td>0.000677</td>\n",
       "      <td>0.710412</td>\n",
       "      <td>0.000753</td>\n",
       "      <td>0.907848</td>\n",
       "      <td>0.004271</td>\n",
       "      <td>0.590033</td>\n",
       "      <td>0.002224</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.294191</td>\n",
       "      <td>0.001211</td>\n",
       "      <td>0.268364</td>\n",
       "      <td>0.001459</td>\n",
       "      <td>5.038959</td>\n",
       "      <td>0.013216</td>\n",
       "      <td>3.622722</td>\n",
       "      <td>0.004001</td>\n",
       "      <td>41</td>\n",
       "      <td>37</td>\n",
       "      <td>38</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>W_VIR</td>\n",
       "      <td>NOT_APPLICABLE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 429562773322439296</td>\n",
       "      <td>429562773322439296</td>\n",
       "      <td>604425917</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>3.513432</td>\n",
       "      <td>0.018744</td>\n",
       "      <td>60.986264</td>\n",
       "      <td>0.018520</td>\n",
       "      <td>0.246697</td>\n",
       "      <td>0.025050</td>\n",
       "      <td>9.848324</td>\n",
       "      <td>-2.573521</td>\n",
       "      <td>0.037158</td>\n",
       "      <td>-0.274076</td>\n",
       "      <td>0.034969</td>\n",
       "      <td>-0.089855</td>\n",
       "      <td>0.164828</td>\n",
       "      <td>-0.311175</td>\n",
       "      <td>0.044934</td>\n",
       "      <td>0.128827</td>\n",
       "      <td>-0.019622</td>\n",
       "      <td>-0.166427</td>\n",
       "      <td>-0.244024</td>\n",
       "      <td>0.161513</td>\n",
       "      <td>-0.192721</td>\n",
       "      <td>341</td>\n",
       "      <td>341</td>\n",
       "      <td>335</td>\n",
       "      <td>6</td>\n",
       "      <td>8.094954</td>\n",
       "      <td>583.73193</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>377.664340</td>\n",
       "      <td>1.434534</td>\n",
       "      <td>0.004975</td>\n",
       "      <td>0.049989</td>\n",
       "      <td>39</td>\n",
       "      <td>19</td>\n",
       "      <td>0.030390</td>\n",
       "      <td>0</td>\n",
       "      <td>42</td>\n",
       "      <td>False</td>\n",
       "      <td>367</td>\n",
       "      <td>2.992537e+05</td>\n",
       "      <td>2.921185e+03</td>\n",
       "      <td>102.442560</td>\n",
       "      <td>11.998267</td>\n",
       "      <td>39</td>\n",
       "      <td>1.013928e+05</td>\n",
       "      <td>4.325206e+03</td>\n",
       "      <td>23.442316</td>\n",
       "      <td>12.836369</td>\n",
       "      <td>39</td>\n",
       "      <td>3.036976e+05</td>\n",
       "      <td>8.071484e+03</td>\n",
       "      <td>37.625988</td>\n",
       "      <td>11.055817</td>\n",
       "      <td>1.353669</td>\n",
       "      <td>0</td>\n",
       "      <td>1.780553</td>\n",
       "      <td>0.838102</td>\n",
       "      <td>0.942450</td>\n",
       "      <td>-54.382919</td>\n",
       "      <td>5.289603</td>\n",
       "      <td>7</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>118.412630</td>\n",
       "      <td>-1.557028</td>\n",
       "      <td>37.771584</td>\n",
       "      <td>52.233949</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4070.4500</td>\n",
       "      <td>3900.0000</td>\n",
       "      <td>4446.6650</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>35.414150</td>\n",
       "      <td>29.675142</td>\n",
       "      <td>38.577354</td>\n",
       "      <td>310.183000</td>\n",
       "      <td>256.28300</td>\n",
       "      <td>364.083040</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>79</td>\n",
       "      <td>BF Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5599</td>\n",
       "      <td>9.568</td>\n",
       "      <td>9.032</td>\n",
       "      <td>8.840</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.77</td>\n",
       "      <td>0.06</td>\n",
       "      <td>10142</td>\n",
       "      <td>436</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>3.51350</td>\n",
       "      <td>60.98625</td>\n",
       "      <td>0.129280</td>\n",
       "      <td>V* BF Cas</td>\n",
       "      <td>3.513455</td>\n",
       "      <td>60.986265</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>28</td>\n",
       "      <td>00 14 03.22910</td>\n",
       "      <td>+60 59 10.5544</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR |Ce*</td>\n",
       "      <td>-54.380</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2467</td>\n",
       "      <td>-2.57</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.740</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.699</td>\n",
       "      <td>9.086</td>\n",
       "      <td>8.888</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.040115</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>429562773322439296</td>\n",
       "      <td>3.630445</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1688.997251</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1688.949255</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1688.974546</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>11.907258</td>\n",
       "      <td>0.000124</td>\n",
       "      <td>12.735170</td>\n",
       "      <td>0.000298</td>\n",
       "      <td>11.005724</td>\n",
       "      <td>0.000170</td>\n",
       "      <td>0.683277</td>\n",
       "      <td>0.000544</td>\n",
       "      <td>0.885296</td>\n",
       "      <td>0.001785</td>\n",
       "      <td>0.559454</td>\n",
       "      <td>0.001085</td>\n",
       "      <td>-0.027240</td>\n",
       "      <td>0.219742</td>\n",
       "      <td>0.401159</td>\n",
       "      <td>0.000834</td>\n",
       "      <td>0.183054</td>\n",
       "      <td>0.000476</td>\n",
       "      <td>4.269680</td>\n",
       "      <td>0.001589</td>\n",
       "      <td>2.340390</td>\n",
       "      <td>0.004147</td>\n",
       "      <td>40</td>\n",
       "      <td>36</td>\n",
       "      <td>36</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 429890595286480384</td>\n",
       "      <td>429890595286480384</td>\n",
       "      <td>741737230</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>0.674045</td>\n",
       "      <td>0.024967</td>\n",
       "      <td>61.861069</td>\n",
       "      <td>0.027246</td>\n",
       "      <td>0.159657</td>\n",
       "      <td>0.032356</td>\n",
       "      <td>4.934335</td>\n",
       "      <td>-3.038138</td>\n",
       "      <td>0.045318</td>\n",
       "      <td>-0.626654</td>\n",
       "      <td>0.050788</td>\n",
       "      <td>-0.039870</td>\n",
       "      <td>0.325655</td>\n",
       "      <td>-0.509221</td>\n",
       "      <td>0.016209</td>\n",
       "      <td>-0.114550</td>\n",
       "      <td>-0.046002</td>\n",
       "      <td>-0.485098</td>\n",
       "      <td>-0.279218</td>\n",
       "      <td>0.271498</td>\n",
       "      <td>-0.112210</td>\n",
       "      <td>264</td>\n",
       "      <td>264</td>\n",
       "      <td>262</td>\n",
       "      <td>2</td>\n",
       "      <td>8.004847</td>\n",
       "      <td>483.53583</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>333.934080</td>\n",
       "      <td>1.397837</td>\n",
       "      <td>0.007062</td>\n",
       "      <td>0.055666</td>\n",
       "      <td>30</td>\n",
       "      <td>18</td>\n",
       "      <td>0.037844</td>\n",
       "      <td>0</td>\n",
       "      <td>34</td>\n",
       "      <td>False</td>\n",
       "      <td>299</td>\n",
       "      <td>2.525019e+05</td>\n",
       "      <td>2.096422e+03</td>\n",
       "      <td>120.444180</td>\n",
       "      <td>12.182704</td>\n",
       "      <td>33</td>\n",
       "      <td>7.421164e+04</td>\n",
       "      <td>2.399914e+03</td>\n",
       "      <td>30.922630</td>\n",
       "      <td>13.175208</td>\n",
       "      <td>33</td>\n",
       "      <td>2.693777e+05</td>\n",
       "      <td>5.843428e+03</td>\n",
       "      <td>46.099260</td>\n",
       "      <td>11.186016</td>\n",
       "      <td>1.360740</td>\n",
       "      <td>0</td>\n",
       "      <td>1.989192</td>\n",
       "      <td>0.992504</td>\n",
       "      <td>0.996688</td>\n",
       "      <td>-78.872550</td>\n",
       "      <td>5.903170</td>\n",
       "      <td>11</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>117.218703</td>\n",
       "      <td>-0.468807</td>\n",
       "      <td>37.038172</td>\n",
       "      <td>53.787834</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3733.0000</td>\n",
       "      <td>3699.5000</td>\n",
       "      <td>4024.1426</td>\n",
       "      <td>1.1290</td>\n",
       "      <td>0.8849</td>\n",
       "      <td>2.0198</td>\n",
       "      <td>0.5530</td>\n",
       "      <td>0.4379</td>\n",
       "      <td>1.0924</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>94</td>\n",
       "      <td>EX Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6340</td>\n",
       "      <td>9.556</td>\n",
       "      <td>8.944</td>\n",
       "      <td>8.742</td>\n",
       "      <td>-0.07</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.86</td>\n",
       "      <td>0.07</td>\n",
       "      <td>10202</td>\n",
       "      <td>435</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>0.67412</td>\n",
       "      <td>61.86108</td>\n",
       "      <td>0.133263</td>\n",
       "      <td>V* EX Cas</td>\n",
       "      <td>0.674073</td>\n",
       "      <td>61.861072</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>25</td>\n",
       "      <td>00 02 41.77746</td>\n",
       "      <td>+61 51 39.8584</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |IR |V*</td>\n",
       "      <td>-78.870</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1597</td>\n",
       "      <td>-3.04</td>\n",
       "      <td>-0.63</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.310</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.570</td>\n",
       "      <td>8.912</td>\n",
       "      <td>8.704</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.048082</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>429890595286480384</td>\n",
       "      <td>4.305281</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1687.917397</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>1687.852559</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>1687.966394</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>12.110450</td>\n",
       "      <td>0.000101</td>\n",
       "      <td>13.078409</td>\n",
       "      <td>0.000673</td>\n",
       "      <td>11.128080</td>\n",
       "      <td>0.000315</td>\n",
       "      <td>0.461484</td>\n",
       "      <td>0.000326</td>\n",
       "      <td>0.630852</td>\n",
       "      <td>0.002101</td>\n",
       "      <td>0.400017</td>\n",
       "      <td>0.001187</td>\n",
       "      <td>0.255092</td>\n",
       "      <td>0.224993</td>\n",
       "      <td>0.325932</td>\n",
       "      <td>0.001013</td>\n",
       "      <td>0.142987</td>\n",
       "      <td>0.001231</td>\n",
       "      <td>4.483449</td>\n",
       "      <td>0.004489</td>\n",
       "      <td>2.515556</td>\n",
       "      <td>0.006860</td>\n",
       "      <td>34</td>\n",
       "      <td>31</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 430647231080076416</td>\n",
       "      <td>430647231080076416</td>\n",
       "      <td>521758899</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>5.012798</td>\n",
       "      <td>0.025123</td>\n",
       "      <td>63.179789</td>\n",
       "      <td>0.024384</td>\n",
       "      <td>0.302839</td>\n",
       "      <td>0.033398</td>\n",
       "      <td>9.067471</td>\n",
       "      <td>-1.613879</td>\n",
       "      <td>0.047885</td>\n",
       "      <td>-0.792750</td>\n",
       "      <td>0.046206</td>\n",
       "      <td>-0.042420</td>\n",
       "      <td>0.227532</td>\n",
       "      <td>-0.242007</td>\n",
       "      <td>0.056515</td>\n",
       "      <td>-0.020702</td>\n",
       "      <td>0.016021</td>\n",
       "      <td>-0.048563</td>\n",
       "      <td>-0.239140</td>\n",
       "      <td>0.132604</td>\n",
       "      <td>-0.167868</td>\n",
       "      <td>299</td>\n",
       "      <td>299</td>\n",
       "      <td>286</td>\n",
       "      <td>13</td>\n",
       "      <td>16.049616</td>\n",
       "      <td>857.63995</td>\n",
       "      <td>0.077542</td>\n",
       "      <td>2.273916e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>103.251360</td>\n",
       "      <td>1.430994</td>\n",
       "      <td>0.006838</td>\n",
       "      <td>-0.078793</td>\n",
       "      <td>34</td>\n",
       "      <td>18</td>\n",
       "      <td>0.035291</td>\n",
       "      <td>0</td>\n",
       "      <td>37</td>\n",
       "      <td>False</td>\n",
       "      <td>325</td>\n",
       "      <td>3.941391e+05</td>\n",
       "      <td>2.643407e+03</td>\n",
       "      <td>149.102700</td>\n",
       "      <td>11.699242</td>\n",
       "      <td>36</td>\n",
       "      <td>1.286130e+05</td>\n",
       "      <td>3.417288e+03</td>\n",
       "      <td>37.635970</td>\n",
       "      <td>12.578176</td>\n",
       "      <td>35</td>\n",
       "      <td>3.978151e+05</td>\n",
       "      <td>7.382200e+03</td>\n",
       "      <td>53.888430</td>\n",
       "      <td>10.762716</td>\n",
       "      <td>1.335640</td>\n",
       "      <td>0</td>\n",
       "      <td>1.815460</td>\n",
       "      <td>0.878935</td>\n",
       "      <td>0.936525</td>\n",
       "      <td>-60.002452</td>\n",
       "      <td>7.596918</td>\n",
       "      <td>2</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>119.400230</td>\n",
       "      <td>0.523465</td>\n",
       "      <td>41.032130</td>\n",
       "      <td>53.427486</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3951.0000</td>\n",
       "      <td>3900.0000</td>\n",
       "      <td>4326.6826</td>\n",
       "      <td>0.6703</td>\n",
       "      <td>0.2759</td>\n",
       "      <td>1.4300</td>\n",
       "      <td>0.2980</td>\n",
       "      <td>0.1200</td>\n",
       "      <td>0.6968</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>36.487900</td>\n",
       "      <td>30.426561</td>\n",
       "      <td>37.448440</td>\n",
       "      <td>292.294460</td>\n",
       "      <td>242.40497</td>\n",
       "      <td>342.183960</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>87</td>\n",
       "      <td>CT Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5810</td>\n",
       "      <td>9.455</td>\n",
       "      <td>8.810</td>\n",
       "      <td>8.600</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.51</td>\n",
       "      <td>0.07</td>\n",
       "      <td>9892</td>\n",
       "      <td>439</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>5.01279</td>\n",
       "      <td>63.17978</td>\n",
       "      <td>0.036027</td>\n",
       "      <td>V* CT Cas</td>\n",
       "      <td>5.012814</td>\n",
       "      <td>63.179793</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>19</td>\n",
       "      <td>00 20 03.07524</td>\n",
       "      <td>+63 10 47.2538</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-60.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3028</td>\n",
       "      <td>-1.61</td>\n",
       "      <td>-0.79</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.580</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.419</td>\n",
       "      <td>8.885</td>\n",
       "      <td>8.688</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.027870</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>430647231080076416</td>\n",
       "      <td>3.810715</td>\n",
       "      <td>0.000016</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1689.745890</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>1689.704814</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>1689.662787</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>11.674721</td>\n",
       "      <td>0.000184</td>\n",
       "      <td>12.529230</td>\n",
       "      <td>0.001156</td>\n",
       "      <td>10.739279</td>\n",
       "      <td>0.001080</td>\n",
       "      <td>0.437151</td>\n",
       "      <td>0.000573</td>\n",
       "      <td>0.586964</td>\n",
       "      <td>0.004408</td>\n",
       "      <td>0.381767</td>\n",
       "      <td>0.004611</td>\n",
       "      <td>0.061931</td>\n",
       "      <td>0.219791</td>\n",
       "      <td>0.373940</td>\n",
       "      <td>0.001532</td>\n",
       "      <td>0.115639</td>\n",
       "      <td>0.001533</td>\n",
       "      <td>4.442850</td>\n",
       "      <td>0.002932</td>\n",
       "      <td>2.520774</td>\n",
       "      <td>0.007076</td>\n",
       "      <td>36</td>\n",
       "      <td>31</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 430670222050230912</td>\n",
       "      <td>430670222050230912</td>\n",
       "      <td>1632197622</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>9.185444</td>\n",
       "      <td>0.019796</td>\n",
       "      <td>62.274237</td>\n",
       "      <td>0.019607</td>\n",
       "      <td>0.259692</td>\n",
       "      <td>0.027539</td>\n",
       "      <td>9.429853</td>\n",
       "      <td>-1.591647</td>\n",
       "      <td>0.039164</td>\n",
       "      <td>0.054083</td>\n",
       "      <td>0.036558</td>\n",
       "      <td>-0.129176</td>\n",
       "      <td>0.158698</td>\n",
       "      <td>-0.363847</td>\n",
       "      <td>0.093391</td>\n",
       "      <td>0.001963</td>\n",
       "      <td>0.054317</td>\n",
       "      <td>-0.296880</td>\n",
       "      <td>-0.119981</td>\n",
       "      <td>0.208464</td>\n",
       "      <td>-0.213707</td>\n",
       "      <td>363</td>\n",
       "      <td>363</td>\n",
       "      <td>353</td>\n",
       "      <td>10</td>\n",
       "      <td>8.796550</td>\n",
       "      <td>634.48200</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>401.255740</td>\n",
       "      <td>1.384901</td>\n",
       "      <td>0.005150</td>\n",
       "      <td>-0.004512</td>\n",
       "      <td>41</td>\n",
       "      <td>19</td>\n",
       "      <td>0.031366</td>\n",
       "      <td>0</td>\n",
       "      <td>44</td>\n",
       "      <td>False</td>\n",
       "      <td>381</td>\n",
       "      <td>3.460604e+05</td>\n",
       "      <td>1.896389e+03</td>\n",
       "      <td>182.483830</td>\n",
       "      <td>11.840486</td>\n",
       "      <td>39</td>\n",
       "      <td>1.006546e+05</td>\n",
       "      <td>2.425476e+03</td>\n",
       "      <td>41.498890</td>\n",
       "      <td>12.844304</td>\n",
       "      <td>40</td>\n",
       "      <td>3.723239e+05</td>\n",
       "      <td>5.675225e+03</td>\n",
       "      <td>65.605125</td>\n",
       "      <td>10.834618</td>\n",
       "      <td>1.366751</td>\n",
       "      <td>0</td>\n",
       "      <td>2.009687</td>\n",
       "      <td>1.003818</td>\n",
       "      <td>1.005868</td>\n",
       "      <td>-43.599898</td>\n",
       "      <td>4.212096</td>\n",
       "      <td>13</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>121.223451</td>\n",
       "      <td>-0.548753</td>\n",
       "      <td>42.459081</td>\n",
       "      <td>51.499197</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4145.5176</td>\n",
       "      <td>3691.0000</td>\n",
       "      <td>5051.7800</td>\n",
       "      <td>0.3720</td>\n",
       "      <td>0.0960</td>\n",
       "      <td>1.0361</td>\n",
       "      <td>0.1390</td>\n",
       "      <td>0.0460</td>\n",
       "      <td>0.5091</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>34.093784</td>\n",
       "      <td>22.958520</td>\n",
       "      <td>43.007540</td>\n",
       "      <td>309.285920</td>\n",
       "      <td>255.09775</td>\n",
       "      <td>363.474100</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>97</td>\n",
       "      <td>FW Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7950</td>\n",
       "      <td>9.408</td>\n",
       "      <td>8.716</td>\n",
       "      <td>8.393</td>\n",
       "      <td>-0.09</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.92</td>\n",
       "      <td>0.07</td>\n",
       "      <td>10460</td>\n",
       "      <td>440</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>9.18550</td>\n",
       "      <td>62.27425</td>\n",
       "      <td>0.104729</td>\n",
       "      <td>V* FW Cas</td>\n",
       "      <td>9.185459</td>\n",
       "      <td>62.274236</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>20</td>\n",
       "      <td>00 36 44.51020</td>\n",
       "      <td>+62 16 27.2511</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |IR |*</td>\n",
       "      <td>-43.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2597</td>\n",
       "      <td>-1.59</td>\n",
       "      <td>0.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.980</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.305</td>\n",
       "      <td>8.667</td>\n",
       "      <td>8.350</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.024685</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>430670222050230912</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.896893</td>\n",
       "      <td>0.000756</td>\n",
       "      <td>6.24022</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1681.065190</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>1681.021673</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>1681.122098</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>11.735042</td>\n",
       "      <td>0.000179</td>\n",
       "      <td>12.724450</td>\n",
       "      <td>0.000447</td>\n",
       "      <td>10.753396</td>\n",
       "      <td>0.000244</td>\n",
       "      <td>0.420235</td>\n",
       "      <td>0.000253</td>\n",
       "      <td>0.492461</td>\n",
       "      <td>0.000633</td>\n",
       "      <td>0.369103</td>\n",
       "      <td>0.000345</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.373880</td>\n",
       "      <td>0.001392</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.813527</td>\n",
       "      <td>0.004225</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>41</td>\n",
       "      <td>37</td>\n",
       "      <td>39</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>MULTI</td>\n",
       "      <td>1O/2O</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 430766016998901376</td>\n",
       "      <td>430766016998901376</td>\n",
       "      <td>1687717180</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>8.317473</td>\n",
       "      <td>0.027798</td>\n",
       "      <td>62.907260</td>\n",
       "      <td>0.025401</td>\n",
       "      <td>0.182244</td>\n",
       "      <td>0.037385</td>\n",
       "      <td>4.874743</td>\n",
       "      <td>-2.058034</td>\n",
       "      <td>0.057085</td>\n",
       "      <td>-0.685997</td>\n",
       "      <td>0.046320</td>\n",
       "      <td>-0.352562</td>\n",
       "      <td>0.169162</td>\n",
       "      <td>-0.443059</td>\n",
       "      <td>0.289828</td>\n",
       "      <td>-0.058862</td>\n",
       "      <td>0.256613</td>\n",
       "      <td>-0.472942</td>\n",
       "      <td>-0.368898</td>\n",
       "      <td>0.322309</td>\n",
       "      <td>-0.427852</td>\n",
       "      <td>309</td>\n",
       "      <td>309</td>\n",
       "      <td>294</td>\n",
       "      <td>15</td>\n",
       "      <td>15.776467</td>\n",
       "      <td>857.04346</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>334.798220</td>\n",
       "      <td>1.431556</td>\n",
       "      <td>0.006370</td>\n",
       "      <td>0.000506</td>\n",
       "      <td>36</td>\n",
       "      <td>15</td>\n",
       "      <td>0.044075</td>\n",
       "      <td>0</td>\n",
       "      <td>41</td>\n",
       "      <td>False</td>\n",
       "      <td>350</td>\n",
       "      <td>7.240113e+05</td>\n",
       "      <td>3.601580e+03</td>\n",
       "      <td>201.026020</td>\n",
       "      <td>11.039002</td>\n",
       "      <td>35</td>\n",
       "      <td>2.325309e+05</td>\n",
       "      <td>5.116860e+03</td>\n",
       "      <td>45.444073</td>\n",
       "      <td>11.935186</td>\n",
       "      <td>35</td>\n",
       "      <td>7.344760e+05</td>\n",
       "      <td>1.190228e+04</td>\n",
       "      <td>61.708836</td>\n",
       "      <td>10.096976</td>\n",
       "      <td>1.335624</td>\n",
       "      <td>0</td>\n",
       "      <td>1.838210</td>\n",
       "      <td>0.896184</td>\n",
       "      <td>0.942026</td>\n",
       "      <td>-57.736285</td>\n",
       "      <td>3.875046</td>\n",
       "      <td>4</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>120.865058</td>\n",
       "      <td>0.108443</td>\n",
       "      <td>42.612975</td>\n",
       "      <td>52.241707</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3940.7500</td>\n",
       "      <td>3884.0000</td>\n",
       "      <td>4150.5303</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>75</td>\n",
       "      <td>AP Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8355</td>\n",
       "      <td>8.788</td>\n",
       "      <td>8.189</td>\n",
       "      <td>7.982</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.79</td>\n",
       "      <td>0.07</td>\n",
       "      <td>10269</td>\n",
       "      <td>440</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>8.31732</td>\n",
       "      <td>62.90722</td>\n",
       "      <td>0.290238</td>\n",
       "      <td>V* AP Cas</td>\n",
       "      <td>8.317493</td>\n",
       "      <td>62.907263</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>48</td>\n",
       "      <td>00 33 16.19826</td>\n",
       "      <td>+62 54 26.1477</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |*  |IR |Ce*</td>\n",
       "      <td>-44.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7.5Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1822</td>\n",
       "      <td>-2.06</td>\n",
       "      <td>-0.69</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.680</td>\n",
       "      <td>11.520</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.837</td>\n",
       "      <td>8.193</td>\n",
       "      <td>7.984</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.033625</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>430766016998901376</td>\n",
       "      <td>6.846344</td>\n",
       "      <td>0.000078</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1683.387327</td>\n",
       "      <td>0.000110</td>\n",
       "      <td>1683.223800</td>\n",
       "      <td>0.000110</td>\n",
       "      <td>1683.130378</td>\n",
       "      <td>0.000110</td>\n",
       "      <td>10.974919</td>\n",
       "      <td>0.000293</td>\n",
       "      <td>11.869679</td>\n",
       "      <td>0.000435</td>\n",
       "      <td>10.072980</td>\n",
       "      <td>0.000568</td>\n",
       "      <td>0.387497</td>\n",
       "      <td>0.001359</td>\n",
       "      <td>0.493932</td>\n",
       "      <td>0.002219</td>\n",
       "      <td>0.297142</td>\n",
       "      <td>0.001998</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.302140</td>\n",
       "      <td>0.001759</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.439222</td>\n",
       "      <td>0.007919</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>36</td>\n",
       "      <td>34</td>\n",
       "      <td>33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 457807268533229056</td>\n",
       "      <td>457807268533229056</td>\n",
       "      <td>547561519</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>38.469022</td>\n",
       "      <td>0.025325</td>\n",
       "      <td>57.027496</td>\n",
       "      <td>0.031747</td>\n",
       "      <td>0.265173</td>\n",
       "      <td>0.040033</td>\n",
       "      <td>6.623903</td>\n",
       "      <td>-0.944372</td>\n",
       "      <td>0.079017</td>\n",
       "      <td>-0.418964</td>\n",
       "      <td>0.091394</td>\n",
       "      <td>0.359953</td>\n",
       "      <td>-0.030661</td>\n",
       "      <td>-0.274097</td>\n",
       "      <td>-0.175416</td>\n",
       "      <td>-0.137839</td>\n",
       "      <td>-0.210974</td>\n",
       "      <td>-0.331033</td>\n",
       "      <td>0.332314</td>\n",
       "      <td>0.071704</td>\n",
       "      <td>0.419784</td>\n",
       "      <td>244</td>\n",
       "      <td>244</td>\n",
       "      <td>231</td>\n",
       "      <td>13</td>\n",
       "      <td>10.260104</td>\n",
       "      <td>520.67520</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>395.668430</td>\n",
       "      <td>1.495351</td>\n",
       "      <td>0.006829</td>\n",
       "      <td>0.069119</td>\n",
       "      <td>29</td>\n",
       "      <td>12</td>\n",
       "      <td>0.066444</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>False</td>\n",
       "      <td>258</td>\n",
       "      <td>6.559209e+05</td>\n",
       "      <td>6.863881e+03</td>\n",
       "      <td>95.561226</td>\n",
       "      <td>11.146237</td>\n",
       "      <td>26</td>\n",
       "      <td>2.617975e+05</td>\n",
       "      <td>1.240987e+04</td>\n",
       "      <td>21.095917</td>\n",
       "      <td>11.806475</td>\n",
       "      <td>26</td>\n",
       "      <td>6.281499e+05</td>\n",
       "      <td>1.758627e+04</td>\n",
       "      <td>35.718200</td>\n",
       "      <td>10.266762</td>\n",
       "      <td>1.356791</td>\n",
       "      <td>0</td>\n",
       "      <td>1.539713</td>\n",
       "      <td>0.660237</td>\n",
       "      <td>0.879476</td>\n",
       "      <td>-52.910824</td>\n",
       "      <td>2.995951</td>\n",
       "      <td>8</td>\n",
       "      <td>5250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>136.558051</td>\n",
       "      <td>-3.109309</td>\n",
       "      <td>56.522832</td>\n",
       "      <td>39.422330</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4349.6665</td>\n",
       "      <td>4209.9850</td>\n",
       "      <td>4494.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>39.568150</td>\n",
       "      <td>37.067352</td>\n",
       "      <td>42.237347</td>\n",
       "      <td>504.905460</td>\n",
       "      <td>393.37384</td>\n",
       "      <td>616.437100</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>258</td>\n",
       "      <td>DW Per</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5623</td>\n",
       "      <td>9.181</td>\n",
       "      <td>8.733</td>\n",
       "      <td>8.537</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.54</td>\n",
       "      <td>0.06</td>\n",
       "      <td>10509</td>\n",
       "      <td>449</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>38.46904</td>\n",
       "      <td>57.02754</td>\n",
       "      <td>0.161957</td>\n",
       "      <td>V* DW Per</td>\n",
       "      <td>38.469029</td>\n",
       "      <td>57.027498</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>34</td>\n",
       "      <td>02 33 52.56697</td>\n",
       "      <td>+57 01 38.9926</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-52.910</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2652</td>\n",
       "      <td>-0.94</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.840</td>\n",
       "      <td>11.610</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.257</td>\n",
       "      <td>8.763</td>\n",
       "      <td>8.564</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.016014</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>457807268533229056</td>\n",
       "      <td>3.649421</td>\n",
       "      <td>0.000038</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1728.463463</td>\n",
       "      <td>0.000054</td>\n",
       "      <td>1728.448769</td>\n",
       "      <td>0.000054</td>\n",
       "      <td>1728.396991</td>\n",
       "      <td>0.000054</td>\n",
       "      <td>11.126564</td>\n",
       "      <td>0.000337</td>\n",
       "      <td>11.837628</td>\n",
       "      <td>0.000317</td>\n",
       "      <td>10.305583</td>\n",
       "      <td>0.000339</td>\n",
       "      <td>0.549681</td>\n",
       "      <td>0.001669</td>\n",
       "      <td>0.705533</td>\n",
       "      <td>0.001497</td>\n",
       "      <td>0.441147</td>\n",
       "      <td>0.001659</td>\n",
       "      <td>0.062581</td>\n",
       "      <td>0.219990</td>\n",
       "      <td>0.373742</td>\n",
       "      <td>0.003134</td>\n",
       "      <td>0.182919</td>\n",
       "      <td>0.003827</td>\n",
       "      <td>4.314282</td>\n",
       "      <td>0.007144</td>\n",
       "      <td>2.500688</td>\n",
       "      <td>0.014680</td>\n",
       "      <td>26</td>\n",
       "      <td>26</td>\n",
       "      <td>26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 458239995077788544</td>\n",
       "      <td>458239995077788544</td>\n",
       "      <td>1029146732</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>38.630416</td>\n",
       "      <td>0.024730</td>\n",
       "      <td>58.831618</td>\n",
       "      <td>0.028222</td>\n",
       "      <td>0.365570</td>\n",
       "      <td>0.034501</td>\n",
       "      <td>10.595869</td>\n",
       "      <td>-0.130131</td>\n",
       "      <td>0.065825</td>\n",
       "      <td>-0.986488</td>\n",
       "      <td>0.080122</td>\n",
       "      <td>0.230249</td>\n",
       "      <td>0.180781</td>\n",
       "      <td>-0.136613</td>\n",
       "      <td>-0.104724</td>\n",
       "      <td>-0.003051</td>\n",
       "      <td>-0.094958</td>\n",
       "      <td>0.127396</td>\n",
       "      <td>0.071895</td>\n",
       "      <td>0.026622</td>\n",
       "      <td>0.274481</td>\n",
       "      <td>221</td>\n",
       "      <td>221</td>\n",
       "      <td>218</td>\n",
       "      <td>3</td>\n",
       "      <td>10.058620</td>\n",
       "      <td>494.19360</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>281.240500</td>\n",
       "      <td>1.420298</td>\n",
       "      <td>0.006515</td>\n",
       "      <td>0.098073</td>\n",
       "      <td>25</td>\n",
       "      <td>13</td>\n",
       "      <td>0.056787</td>\n",
       "      <td>0</td>\n",
       "      <td>29</td>\n",
       "      <td>True</td>\n",
       "      <td>247</td>\n",
       "      <td>1.130630e+06</td>\n",
       "      <td>1.389016e+04</td>\n",
       "      <td>81.397896</td>\n",
       "      <td>10.555065</td>\n",
       "      <td>28</td>\n",
       "      <td>3.162826e+05</td>\n",
       "      <td>1.522162e+04</td>\n",
       "      <td>20.778517</td>\n",
       "      <td>11.601200</td>\n",
       "      <td>28</td>\n",
       "      <td>1.201157e+06</td>\n",
       "      <td>3.881446e+04</td>\n",
       "      <td>30.946117</td>\n",
       "      <td>9.562921</td>\n",
       "      <td>1.342119</td>\n",
       "      <td>0</td>\n",
       "      <td>2.038279</td>\n",
       "      <td>1.046135</td>\n",
       "      <td>0.992145</td>\n",
       "      <td>-56.861472</td>\n",
       "      <td>5.325680</td>\n",
       "      <td>7</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>135.939970</td>\n",
       "      <td>-1.412019</td>\n",
       "      <td>57.588390</td>\n",
       "      <td>41.034941</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4107.3000</td>\n",
       "      <td>3998.4600</td>\n",
       "      <td>4188.7200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>45.106148</td>\n",
       "      <td>43.369644</td>\n",
       "      <td>47.595190</td>\n",
       "      <td>521.665160</td>\n",
       "      <td>446.05230</td>\n",
       "      <td>597.278000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>267</td>\n",
       "      <td>UY Per</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7296</td>\n",
       "      <td>8.079</td>\n",
       "      <td>7.536</td>\n",
       "      <td>7.334</td>\n",
       "      <td>0.18</td>\n",
       "      <td>0.15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.82</td>\n",
       "      <td>0.06</td>\n",
       "      <td>9737</td>\n",
       "      <td>449</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>38.63038</td>\n",
       "      <td>58.83168</td>\n",
       "      <td>0.233844</td>\n",
       "      <td>V* UY Per</td>\n",
       "      <td>38.630417</td>\n",
       "      <td>58.831622</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104</td>\n",
       "      <td>02 34 31.30007</td>\n",
       "      <td>+58 49 53.8392</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-59.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3656</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.99</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.460</td>\n",
       "      <td>11.180</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.961</td>\n",
       "      <td>7.431</td>\n",
       "      <td>7.231</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.015423</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>458239995077788544</td>\n",
       "      <td>6.579970</td>\n",
       "      <td>0.000090</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1687.588955</td>\n",
       "      <td>0.000127</td>\n",
       "      <td>1688.620670</td>\n",
       "      <td>0.000127</td>\n",
       "      <td>1687.601665</td>\n",
       "      <td>0.000127</td>\n",
       "      <td>10.462725</td>\n",
       "      <td>0.000166</td>\n",
       "      <td>11.492652</td>\n",
       "      <td>0.000216</td>\n",
       "      <td>9.512212</td>\n",
       "      <td>0.000108</td>\n",
       "      <td>0.652178</td>\n",
       "      <td>0.000993</td>\n",
       "      <td>0.774099</td>\n",
       "      <td>0.000850</td>\n",
       "      <td>0.567705</td>\n",
       "      <td>0.001092</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.333456</td>\n",
       "      <td>0.001335</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.834154</td>\n",
       "      <td>0.006646</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>24</td>\n",
       "      <td>24</td>\n",
       "      <td>23</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 459035766618689280</td>\n",
       "      <td>459035766618689280</td>\n",
       "      <td>650754747</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>36.897761</td>\n",
       "      <td>0.023197</td>\n",
       "      <td>58.917151</td>\n",
       "      <td>0.029511</td>\n",
       "      <td>0.394153</td>\n",
       "      <td>0.035271</td>\n",
       "      <td>11.174958</td>\n",
       "      <td>0.087277</td>\n",
       "      <td>0.073918</td>\n",
       "      <td>-0.788258</td>\n",
       "      <td>0.080015</td>\n",
       "      <td>0.223910</td>\n",
       "      <td>0.039768</td>\n",
       "      <td>-0.100424</td>\n",
       "      <td>-0.162503</td>\n",
       "      <td>-0.048342</td>\n",
       "      <td>-0.178675</td>\n",
       "      <td>-0.344642</td>\n",
       "      <td>0.168991</td>\n",
       "      <td>0.178844</td>\n",
       "      <td>0.189750</td>\n",
       "      <td>249</td>\n",
       "      <td>249</td>\n",
       "      <td>238</td>\n",
       "      <td>11</td>\n",
       "      <td>10.770044</td>\n",
       "      <td>550.21295</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>312.667940</td>\n",
       "      <td>1.412674</td>\n",
       "      <td>0.006074</td>\n",
       "      <td>0.004130</td>\n",
       "      <td>29</td>\n",
       "      <td>13</td>\n",
       "      <td>0.057181</td>\n",
       "      <td>0</td>\n",
       "      <td>33</td>\n",
       "      <td>False</td>\n",
       "      <td>276</td>\n",
       "      <td>1.303270e+06</td>\n",
       "      <td>1.491582e+04</td>\n",
       "      <td>87.375040</td>\n",
       "      <td>10.400780</td>\n",
       "      <td>29</td>\n",
       "      <td>3.410073e+05</td>\n",
       "      <td>1.780025e+04</td>\n",
       "      <td>19.157446</td>\n",
       "      <td>11.519479</td>\n",
       "      <td>31</td>\n",
       "      <td>1.403597e+06</td>\n",
       "      <td>4.327064e+04</td>\n",
       "      <td>32.437620</td>\n",
       "      <td>9.393814</td>\n",
       "      <td>1.338636</td>\n",
       "      <td>0</td>\n",
       "      <td>2.125665</td>\n",
       "      <td>1.118699</td>\n",
       "      <td>1.006966</td>\n",
       "      <td>-46.554114</td>\n",
       "      <td>6.517983</td>\n",
       "      <td>6</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>135.077307</td>\n",
       "      <td>-1.668509</td>\n",
       "      <td>56.553798</td>\n",
       "      <td>41.487282</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3925.0000</td>\n",
       "      <td>3854.2950</td>\n",
       "      <td>3998.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>52.112076</td>\n",
       "      <td>50.226406</td>\n",
       "      <td>54.041550</td>\n",
       "      <td>580.670960</td>\n",
       "      <td>501.43335</td>\n",
       "      <td>659.908570</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>271</td>\n",
       "      <td>VY Per</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7429</td>\n",
       "      <td>7.829</td>\n",
       "      <td>7.247</td>\n",
       "      <td>7.013</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.01</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.50</td>\n",
       "      <td>0.06</td>\n",
       "      <td>9457</td>\n",
       "      <td>449</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>36.89765</td>\n",
       "      <td>58.91722</td>\n",
       "      <td>0.322542</td>\n",
       "      <td>V* VY Per</td>\n",
       "      <td>36.897760</td>\n",
       "      <td>58.917155</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>88</td>\n",
       "      <td>02 27 35.46249</td>\n",
       "      <td>+58 55 01.7564</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-39.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7.5Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3942</td>\n",
       "      <td>0.09</td>\n",
       "      <td>-0.79</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.480</td>\n",
       "      <td>11.320</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.848</td>\n",
       "      <td>7.219</td>\n",
       "      <td>6.979</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.012293</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>459035766618689280</td>\n",
       "      <td>5.530696</td>\n",
       "      <td>0.000038</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1686.428537</td>\n",
       "      <td>0.000054</td>\n",
       "      <td>1686.486782</td>\n",
       "      <td>0.000054</td>\n",
       "      <td>1725.263416</td>\n",
       "      <td>0.000054</td>\n",
       "      <td>10.368665</td>\n",
       "      <td>0.000218</td>\n",
       "      <td>11.467715</td>\n",
       "      <td>0.000392</td>\n",
       "      <td>9.364640</td>\n",
       "      <td>0.000208</td>\n",
       "      <td>0.593971</td>\n",
       "      <td>0.000714</td>\n",
       "      <td>0.784130</td>\n",
       "      <td>0.001425</td>\n",
       "      <td>0.498851</td>\n",
       "      <td>0.000739</td>\n",
       "      <td>0.204793</td>\n",
       "      <td>0.233792</td>\n",
       "      <td>0.346768</td>\n",
       "      <td>0.001110</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.700026</td>\n",
       "      <td>0.004020</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>30</td>\n",
       "      <td>27</td>\n",
       "      <td>28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>60</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 459263743483634304</td>\n",
       "      <td>459263743483634304</td>\n",
       "      <td>1306789030</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>36.807364</td>\n",
       "      <td>0.025540</td>\n",
       "      <td>59.460601</td>\n",
       "      <td>0.032145</td>\n",
       "      <td>0.365080</td>\n",
       "      <td>0.041511</td>\n",
       "      <td>8.794794</td>\n",
       "      <td>0.192280</td>\n",
       "      <td>0.087996</td>\n",
       "      <td>-0.680112</td>\n",
       "      <td>0.093120</td>\n",
       "      <td>0.161778</td>\n",
       "      <td>-0.080803</td>\n",
       "      <td>-0.186084</td>\n",
       "      <td>-0.040234</td>\n",
       "      <td>-0.158820</td>\n",
       "      <td>-0.075166</td>\n",
       "      <td>-0.202104</td>\n",
       "      <td>0.247300</td>\n",
       "      <td>0.021314</td>\n",
       "      <td>0.354265</td>\n",
       "      <td>211</td>\n",
       "      <td>211</td>\n",
       "      <td>211</td>\n",
       "      <td>0</td>\n",
       "      <td>2.770369</td>\n",
       "      <td>266.71146</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>227.218840</td>\n",
       "      <td>1.401158</td>\n",
       "      <td>0.006257</td>\n",
       "      <td>0.039122</td>\n",
       "      <td>24</td>\n",
       "      <td>12</td>\n",
       "      <td>0.067115</td>\n",
       "      <td>0</td>\n",
       "      <td>27</td>\n",
       "      <td>False</td>\n",
       "      <td>226</td>\n",
       "      <td>4.093245e+06</td>\n",
       "      <td>2.233697e+04</td>\n",
       "      <td>183.249740</td>\n",
       "      <td>9.158196</td>\n",
       "      <td>26</td>\n",
       "      <td>1.210900e+06</td>\n",
       "      <td>2.565064e+04</td>\n",
       "      <td>47.207390</td>\n",
       "      <td>10.143618</td>\n",
       "      <td>26</td>\n",
       "      <td>4.246247e+06</td>\n",
       "      <td>6.111143e+04</td>\n",
       "      <td>69.483670</td>\n",
       "      <td>8.191907</td>\n",
       "      <td>1.333208</td>\n",
       "      <td>0</td>\n",
       "      <td>1.951711</td>\n",
       "      <td>0.985421</td>\n",
       "      <td>0.966290</td>\n",
       "      <td>-46.699203</td>\n",
       "      <td>2.447434</td>\n",
       "      <td>9</td>\n",
       "      <td>3800.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>134.837338</td>\n",
       "      <td>-1.178680</td>\n",
       "      <td>56.808385</td>\n",
       "      <td>41.998554</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4002.9001</td>\n",
       "      <td>3922.0703</td>\n",
       "      <td>4119.3200</td>\n",
       "      <td>0.7195</td>\n",
       "      <td>0.4233</td>\n",
       "      <td>1.5131</td>\n",
       "      <td>0.3625</td>\n",
       "      <td>0.1627</td>\n",
       "      <td>0.6004</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>93.551610</td>\n",
       "      <td>88.338450</td>\n",
       "      <td>97.447350</td>\n",
       "      <td>2024.399900</td>\n",
       "      <td>1691.35800</td>\n",
       "      <td>2357.442000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>116</td>\n",
       "      <td>SZ Cas</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>1.1346</td>\n",
       "      <td>6.814</td>\n",
       "      <td>6.217</td>\n",
       "      <td>6.007</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.61</td>\n",
       "      <td>0.10</td>\n",
       "      <td>10557</td>\n",
       "      <td>457</td>\n",
       "      <td>c*</td>\n",
       "      <td>LIII</td>\n",
       "      <td>36.80736</td>\n",
       "      <td>59.46060</td>\n",
       "      <td>0.008983</td>\n",
       "      <td>V* SZ Cas</td>\n",
       "      <td>36.807363</td>\n",
       "      <td>59.460604</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>148</td>\n",
       "      <td>02 27 13.76705</td>\n",
       "      <td>+59 27 38.1747</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>-46.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G5III</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3651</td>\n",
       "      <td>0.19</td>\n",
       "      <td>-0.68</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.500</td>\n",
       "      <td>9.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.814</td>\n",
       "      <td>6.217</td>\n",
       "      <td>6.007</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.010955</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>459263743483634304</td>\n",
       "      <td>13.638638</td>\n",
       "      <td>0.000265</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1672.750054</td>\n",
       "      <td>0.000375</td>\n",
       "      <td>1672.596966</td>\n",
       "      <td>0.000375</td>\n",
       "      <td>1672.805457</td>\n",
       "      <td>0.000375</td>\n",
       "      <td>9.138997</td>\n",
       "      <td>0.000159</td>\n",
       "      <td>10.110632</td>\n",
       "      <td>0.000305</td>\n",
       "      <td>8.188362</td>\n",
       "      <td>0.000177</td>\n",
       "      <td>0.280852</td>\n",
       "      <td>0.000688</td>\n",
       "      <td>0.368744</td>\n",
       "      <td>0.001642</td>\n",
       "      <td>0.241993</td>\n",
       "      <td>0.001063</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.162759</td>\n",
       "      <td>0.001963</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.939998</td>\n",
       "      <td>0.012836</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>26</td>\n",
       "      <td>26</td>\n",
       "      <td>26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>61</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 462252662762965120</td>\n",
       "      <td>462252662762965120</td>\n",
       "      <td>1571135469</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>50.949512</td>\n",
       "      <td>0.025874</td>\n",
       "      <td>59.355669</td>\n",
       "      <td>0.022910</td>\n",
       "      <td>0.222391</td>\n",
       "      <td>0.036582</td>\n",
       "      <td>6.079237</td>\n",
       "      <td>-0.145659</td>\n",
       "      <td>0.039414</td>\n",
       "      <td>-0.617469</td>\n",
       "      <td>0.048346</td>\n",
       "      <td>-0.037961</td>\n",
       "      <td>0.430977</td>\n",
       "      <td>-0.522110</td>\n",
       "      <td>0.330102</td>\n",
       "      <td>-0.022295</td>\n",
       "      <td>0.317843</td>\n",
       "      <td>-0.081147</td>\n",
       "      <td>-0.210420</td>\n",
       "      <td>0.227044</td>\n",
       "      <td>0.238142</td>\n",
       "      <td>418</td>\n",
       "      <td>418</td>\n",
       "      <td>396</td>\n",
       "      <td>22</td>\n",
       "      <td>15.027351</td>\n",
       "      <td>978.52484</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>381.031130</td>\n",
       "      <td>1.375248</td>\n",
       "      <td>0.005831</td>\n",
       "      <td>-0.071979</td>\n",
       "      <td>47</td>\n",
       "      <td>15</td>\n",
       "      <td>0.033677</td>\n",
       "      <td>0</td>\n",
       "      <td>49</td>\n",
       "      <td>False</td>\n",
       "      <td>436</td>\n",
       "      <td>3.311550e+05</td>\n",
       "      <td>2.441220e+03</td>\n",
       "      <td>135.651440</td>\n",
       "      <td>11.888288</td>\n",
       "      <td>42</td>\n",
       "      <td>9.534276e+04</td>\n",
       "      <td>3.185619e+03</td>\n",
       "      <td>29.929113</td>\n",
       "      <td>12.903169</td>\n",
       "      <td>43</td>\n",
       "      <td>3.603132e+05</td>\n",
       "      <td>7.637670e+03</td>\n",
       "      <td>47.175804</td>\n",
       "      <td>10.870219</td>\n",
       "      <td>1.375960</td>\n",
       "      <td>0</td>\n",
       "      <td>2.032949</td>\n",
       "      <td>1.014881</td>\n",
       "      <td>1.018068</td>\n",
       "      <td>-50.997059</td>\n",
       "      <td>4.438640</td>\n",
       "      <td>18</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>141.270622</td>\n",
       "      <td>2.021586</td>\n",
       "      <td>65.523554</td>\n",
       "      <td>39.190448</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3733.7124</td>\n",
       "      <td>3644.0000</td>\n",
       "      <td>4214.6733</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>54.908280</td>\n",
       "      <td>43.091510</td>\n",
       "      <td>57.645157</td>\n",
       "      <td>527.878360</td>\n",
       "      <td>397.37997</td>\n",
       "      <td>658.376700</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>36</td>\n",
       "      <td>AC Cam</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6188</td>\n",
       "      <td>9.325</td>\n",
       "      <td>8.752</td>\n",
       "      <td>8.499</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.56</td>\n",
       "      <td>0.06</td>\n",
       "      <td>10675</td>\n",
       "      <td>451</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>50.94954</td>\n",
       "      <td>59.35564</td>\n",
       "      <td>0.116013</td>\n",
       "      <td>V* AC Cam</td>\n",
       "      <td>50.949514</td>\n",
       "      <td>59.355672</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>22</td>\n",
       "      <td>03 23 47.88328</td>\n",
       "      <td>+59 21 20.4180</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |IR |V*</td>\n",
       "      <td>-51.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2224</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.62</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.140</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.162</td>\n",
       "      <td>8.598</td>\n",
       "      <td>8.348</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.009833</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>462252662762965120</td>\n",
       "      <td>4.156364</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>2.949602</td>\n",
       "      <td>0.000065</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1694.166404</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1694.033220</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1694.137783</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>11.842452</td>\n",
       "      <td>0.000177</td>\n",
       "      <td>12.871183</td>\n",
       "      <td>0.000329</td>\n",
       "      <td>10.839674</td>\n",
       "      <td>0.000147</td>\n",
       "      <td>0.514248</td>\n",
       "      <td>0.000250</td>\n",
       "      <td>0.648701</td>\n",
       "      <td>0.000466</td>\n",
       "      <td>0.414859</td>\n",
       "      <td>0.000208</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.372045</td>\n",
       "      <td>0.001045</td>\n",
       "      <td>0.156721</td>\n",
       "      <td>0.001036</td>\n",
       "      <td>4.515277</td>\n",
       "      <td>0.003880</td>\n",
       "      <td>2.849545</td>\n",
       "      <td>0.008053</td>\n",
       "      <td>43</td>\n",
       "      <td>42</td>\n",
       "      <td>43</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>MULTI</td>\n",
       "      <td>F/1O</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>62</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 462407693902385792</td>\n",
       "      <td>462407693902385792</td>\n",
       "      <td>117619747</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>52.358206</td>\n",
       "      <td>0.024857</td>\n",
       "      <td>60.446467</td>\n",
       "      <td>0.023639</td>\n",
       "      <td>0.187829</td>\n",
       "      <td>0.033835</td>\n",
       "      <td>5.551357</td>\n",
       "      <td>0.058179</td>\n",
       "      <td>0.040423</td>\n",
       "      <td>0.555700</td>\n",
       "      <td>0.050310</td>\n",
       "      <td>-0.016485</td>\n",
       "      <td>0.275644</td>\n",
       "      <td>-0.575291</td>\n",
       "      <td>0.148416</td>\n",
       "      <td>-0.019740</td>\n",
       "      <td>0.082223</td>\n",
       "      <td>-0.414797</td>\n",
       "      <td>-0.051094</td>\n",
       "      <td>0.248611</td>\n",
       "      <td>0.210154</td>\n",
       "      <td>356</td>\n",
       "      <td>356</td>\n",
       "      <td>339</td>\n",
       "      <td>17</td>\n",
       "      <td>14.614834</td>\n",
       "      <td>870.75600</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>356.641360</td>\n",
       "      <td>1.354950</td>\n",
       "      <td>0.005873</td>\n",
       "      <td>-0.024978</td>\n",
       "      <td>41</td>\n",
       "      <td>16</td>\n",
       "      <td>0.036079</td>\n",
       "      <td>0</td>\n",
       "      <td>43</td>\n",
       "      <td>False</td>\n",
       "      <td>374</td>\n",
       "      <td>3.131775e+05</td>\n",
       "      <td>3.113120e+03</td>\n",
       "      <td>100.599266</td>\n",
       "      <td>11.948889</td>\n",
       "      <td>42</td>\n",
       "      <td>8.347778e+04</td>\n",
       "      <td>3.551732e+03</td>\n",
       "      <td>23.503399</td>\n",
       "      <td>13.047461</td>\n",
       "      <td>41</td>\n",
       "      <td>3.685182e+05</td>\n",
       "      <td>1.080204e+04</td>\n",
       "      <td>34.115604</td>\n",
       "      <td>10.845773</td>\n",
       "      <td>1.443258</td>\n",
       "      <td>0</td>\n",
       "      <td>2.201688</td>\n",
       "      <td>1.098572</td>\n",
       "      <td>1.103116</td>\n",
       "      <td>-43.582801</td>\n",
       "      <td>7.461979</td>\n",
       "      <td>11</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>141.247842</td>\n",
       "      <td>3.320905</td>\n",
       "      <td>66.845321</td>\n",
       "      <td>39.997554</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3878.0000</td>\n",
       "      <td>3598.3333</td>\n",
       "      <td>4392.6100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>55.791912</td>\n",
       "      <td>43.485210</td>\n",
       "      <td>64.801350</td>\n",
       "      <td>634.261600</td>\n",
       "      <td>458.20392</td>\n",
       "      <td>810.319300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>37</td>\n",
       "      <td>AD Cam</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0516</td>\n",
       "      <td>8.988</td>\n",
       "      <td>8.363</td>\n",
       "      <td>8.109</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.59</td>\n",
       "      <td>0.07</td>\n",
       "      <td>12444</td>\n",
       "      <td>460</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>52.35821</td>\n",
       "      <td>60.44644</td>\n",
       "      <td>0.096853</td>\n",
       "      <td>V* AD Cam</td>\n",
       "      <td>52.358206</td>\n",
       "      <td>60.446464</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>40</td>\n",
       "      <td>03 29 25.96934</td>\n",
       "      <td>+60 26 47.2720</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |IR |*  |Ce*</td>\n",
       "      <td>-60.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1878</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.56</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.160</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.338</td>\n",
       "      <td>8.652</td>\n",
       "      <td>8.387</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.008660</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>462407693902385792</td>\n",
       "      <td>11.276252</td>\n",
       "      <td>0.000069</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1676.766724</td>\n",
       "      <td>0.000097</td>\n",
       "      <td>1677.354056</td>\n",
       "      <td>0.000097</td>\n",
       "      <td>1677.601145</td>\n",
       "      <td>0.000097</td>\n",
       "      <td>11.761972</td>\n",
       "      <td>0.000179</td>\n",
       "      <td>12.885199</td>\n",
       "      <td>0.000592</td>\n",
       "      <td>10.757288</td>\n",
       "      <td>0.000288</td>\n",
       "      <td>0.621483</td>\n",
       "      <td>0.000736</td>\n",
       "      <td>0.811727</td>\n",
       "      <td>0.002616</td>\n",
       "      <td>0.523385</td>\n",
       "      <td>0.000991</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.207237</td>\n",
       "      <td>0.000828</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.938995</td>\n",
       "      <td>0.005216</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>41</td>\n",
       "      <td>40</td>\n",
       "      <td>40</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>63</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 465719182408723072</td>\n",
       "      <td>465719182408723072</td>\n",
       "      <td>88336856</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>41.180476</td>\n",
       "      <td>0.023864</td>\n",
       "      <td>61.464699</td>\n",
       "      <td>0.023227</td>\n",
       "      <td>0.306970</td>\n",
       "      <td>0.027987</td>\n",
       "      <td>10.968152</td>\n",
       "      <td>-0.446293</td>\n",
       "      <td>0.035987</td>\n",
       "      <td>-0.221143</td>\n",
       "      <td>0.053524</td>\n",
       "      <td>0.301543</td>\n",
       "      <td>-0.036217</td>\n",
       "      <td>-0.783976</td>\n",
       "      <td>-0.205483</td>\n",
       "      <td>-0.126500</td>\n",
       "      <td>-0.229530</td>\n",
       "      <td>-0.359509</td>\n",
       "      <td>0.050122</td>\n",
       "      <td>0.128609</td>\n",
       "      <td>0.341949</td>\n",
       "      <td>416</td>\n",
       "      <td>416</td>\n",
       "      <td>399</td>\n",
       "      <td>17</td>\n",
       "      <td>5.655881</td>\n",
       "      <td>574.19165</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>326.288900</td>\n",
       "      <td>1.487015</td>\n",
       "      <td>0.005123</td>\n",
       "      <td>0.004822</td>\n",
       "      <td>47</td>\n",
       "      <td>14</td>\n",
       "      <td>0.041757</td>\n",
       "      <td>0</td>\n",
       "      <td>50</td>\n",
       "      <td>False</td>\n",
       "      <td>444</td>\n",
       "      <td>1.257232e+06</td>\n",
       "      <td>9.160232e+03</td>\n",
       "      <td>137.248900</td>\n",
       "      <td>10.439827</td>\n",
       "      <td>49</td>\n",
       "      <td>4.778910e+05</td>\n",
       "      <td>1.374108e+04</td>\n",
       "      <td>34.778282</td>\n",
       "      <td>11.153066</td>\n",
       "      <td>45</td>\n",
       "      <td>1.106454e+06</td>\n",
       "      <td>2.081398e+04</td>\n",
       "      <td>53.159160</td>\n",
       "      <td>9.652087</td>\n",
       "      <td>1.260185</td>\n",
       "      <td>0</td>\n",
       "      <td>1.500978</td>\n",
       "      <td>0.713239</td>\n",
       "      <td>0.787740</td>\n",
       "      <td>-32.195008</td>\n",
       "      <td>7.505779</td>\n",
       "      <td>5</td>\n",
       "      <td>4750.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>136.035063</td>\n",
       "      <td>1.508969</td>\n",
       "      <td>60.598539</td>\n",
       "      <td>42.915176</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4315.3276</td>\n",
       "      <td>4246.9500</td>\n",
       "      <td>4555.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>48.476704</td>\n",
       "      <td>43.509476</td>\n",
       "      <td>50.050255</td>\n",
       "      <td>734.202640</td>\n",
       "      <td>624.15970</td>\n",
       "      <td>844.245540</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>91</td>\n",
       "      <td>DF Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5835</td>\n",
       "      <td>8.488</td>\n",
       "      <td>8.036</td>\n",
       "      <td>7.879</td>\n",
       "      <td>0.13</td>\n",
       "      <td>0.19</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.97</td>\n",
       "      <td>0.07</td>\n",
       "      <td>9873</td>\n",
       "      <td>449</td>\n",
       "      <td>c</td>\n",
       "      <td>LII</td>\n",
       "      <td>41.18047</td>\n",
       "      <td>61.46470</td>\n",
       "      <td>0.011127</td>\n",
       "      <td>V* DF Cas</td>\n",
       "      <td>41.180480</td>\n",
       "      <td>61.464700</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>63</td>\n",
       "      <td>02 44 43.31529</td>\n",
       "      <td>+61 27 52.9213</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-32.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3070</td>\n",
       "      <td>-0.45</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.800</td>\n",
       "      <td>10.740</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.525</td>\n",
       "      <td>8.114</td>\n",
       "      <td>7.959</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.007720</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>465719182408723072</td>\n",
       "      <td>3.832876</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1729.696564</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>1729.651199</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>1729.743903</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>10.434340</td>\n",
       "      <td>0.000086</td>\n",
       "      <td>11.137392</td>\n",
       "      <td>0.000168</td>\n",
       "      <td>9.641113</td>\n",
       "      <td>0.000096</td>\n",
       "      <td>0.480265</td>\n",
       "      <td>0.000282</td>\n",
       "      <td>0.644832</td>\n",
       "      <td>0.000505</td>\n",
       "      <td>0.402031</td>\n",
       "      <td>0.000309</td>\n",
       "      <td>0.214476</td>\n",
       "      <td>0.219744</td>\n",
       "      <td>0.327377</td>\n",
       "      <td>0.000747</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.119727</td>\n",
       "      <td>0.003556</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>46</td>\n",
       "      <td>45</td>\n",
       "      <td>45</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>64</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 467560314629168640</td>\n",
       "      <td>467560314629168640</td>\n",
       "      <td>738877379</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>41.464538</td>\n",
       "      <td>0.015958</td>\n",
       "      <td>63.304575</td>\n",
       "      <td>0.019444</td>\n",
       "      <td>0.076786</td>\n",
       "      <td>0.025933</td>\n",
       "      <td>2.960905</td>\n",
       "      <td>-1.237957</td>\n",
       "      <td>0.028489</td>\n",
       "      <td>0.436821</td>\n",
       "      <td>0.040560</td>\n",
       "      <td>-0.262013</td>\n",
       "      <td>0.085386</td>\n",
       "      <td>-0.570995</td>\n",
       "      <td>0.036860</td>\n",
       "      <td>-0.110443</td>\n",
       "      <td>0.068956</td>\n",
       "      <td>-0.457649</td>\n",
       "      <td>0.010092</td>\n",
       "      <td>0.192431</td>\n",
       "      <td>-0.118876</td>\n",
       "      <td>518</td>\n",
       "      <td>518</td>\n",
       "      <td>506</td>\n",
       "      <td>12</td>\n",
       "      <td>8.412189</td>\n",
       "      <td>816.32184</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>377.750900</td>\n",
       "      <td>1.435163</td>\n",
       "      <td>0.004411</td>\n",
       "      <td>-0.004215</td>\n",
       "      <td>59</td>\n",
       "      <td>18</td>\n",
       "      <td>0.031569</td>\n",
       "      <td>0</td>\n",
       "      <td>60</td>\n",
       "      <td>False</td>\n",
       "      <td>525</td>\n",
       "      <td>2.985826e+05</td>\n",
       "      <td>2.561511e+03</td>\n",
       "      <td>116.565030</td>\n",
       "      <td>12.000705</td>\n",
       "      <td>59</td>\n",
       "      <td>1.055071e+05</td>\n",
       "      <td>3.604232e+03</td>\n",
       "      <td>29.273104</td>\n",
       "      <td>12.793184</td>\n",
       "      <td>59</td>\n",
       "      <td>3.009226e+05</td>\n",
       "      <td>6.319256e+03</td>\n",
       "      <td>47.619940</td>\n",
       "      <td>11.065783</td>\n",
       "      <td>1.361197</td>\n",
       "      <td>0</td>\n",
       "      <td>1.727402</td>\n",
       "      <td>0.792480</td>\n",
       "      <td>0.934922</td>\n",
       "      <td>-72.558721</td>\n",
       "      <td>3.820652</td>\n",
       "      <td>23</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>135.372582</td>\n",
       "      <td>3.230702</td>\n",
       "      <td>61.817148</td>\n",
       "      <td>44.536023</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4107.1050</td>\n",
       "      <td>3847.5898</td>\n",
       "      <td>4234.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>104</td>\n",
       "      <td>LT Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7712</td>\n",
       "      <td>9.733</td>\n",
       "      <td>9.264</td>\n",
       "      <td>9.074</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.77</td>\n",
       "      <td>0.06</td>\n",
       "      <td>12609</td>\n",
       "      <td>454</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>41.46458</td>\n",
       "      <td>63.30458</td>\n",
       "      <td>0.070984</td>\n",
       "      <td>V* LT Cas</td>\n",
       "      <td>41.464550</td>\n",
       "      <td>63.304573</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>25</td>\n",
       "      <td>02 45 51.49192</td>\n",
       "      <td>+63 18 16.4617</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |IR |V*</td>\n",
       "      <td>-72.560</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0768</td>\n",
       "      <td>-1.24</td>\n",
       "      <td>0.44</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.760</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.974</td>\n",
       "      <td>9.408</td>\n",
       "      <td>9.198</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.020348</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>467560314629168640</td>\n",
       "      <td>5.904661</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1688.948622</td>\n",
       "      <td>0.000016</td>\n",
       "      <td>1688.920185</td>\n",
       "      <td>0.000016</td>\n",
       "      <td>1688.943359</td>\n",
       "      <td>0.000016</td>\n",
       "      <td>11.962811</td>\n",
       "      <td>0.000074</td>\n",
       "      <td>12.780531</td>\n",
       "      <td>0.000276</td>\n",
       "      <td>11.077874</td>\n",
       "      <td>0.000158</td>\n",
       "      <td>0.812250</td>\n",
       "      <td>0.000354</td>\n",
       "      <td>1.095253</td>\n",
       "      <td>0.001864</td>\n",
       "      <td>0.698038</td>\n",
       "      <td>0.000981</td>\n",
       "      <td>-0.179107</td>\n",
       "      <td>0.233761</td>\n",
       "      <td>0.460529</td>\n",
       "      <td>0.000500</td>\n",
       "      <td>0.234990</td>\n",
       "      <td>0.000537</td>\n",
       "      <td>4.500946</td>\n",
       "      <td>0.001230</td>\n",
       "      <td>2.689873</td>\n",
       "      <td>0.002136</td>\n",
       "      <td>58</td>\n",
       "      <td>56</td>\n",
       "      <td>57</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>65</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 470361114339849472</td>\n",
       "      <td>470361114339849472</td>\n",
       "      <td>914955959</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>61.243593</td>\n",
       "      <td>0.034225</td>\n",
       "      <td>58.659781</td>\n",
       "      <td>0.025185</td>\n",
       "      <td>0.782275</td>\n",
       "      <td>0.039722</td>\n",
       "      <td>19.693735</td>\n",
       "      <td>-1.029782</td>\n",
       "      <td>0.063430</td>\n",
       "      <td>-0.392662</td>\n",
       "      <td>0.052600</td>\n",
       "      <td>-0.385520</td>\n",
       "      <td>0.019824</td>\n",
       "      <td>-0.544286</td>\n",
       "      <td>0.388119</td>\n",
       "      <td>0.157707</td>\n",
       "      <td>0.396676</td>\n",
       "      <td>-0.466697</td>\n",
       "      <td>0.183427</td>\n",
       "      <td>0.127745</td>\n",
       "      <td>-0.037443</td>\n",
       "      <td>354</td>\n",
       "      <td>354</td>\n",
       "      <td>351</td>\n",
       "      <td>3</td>\n",
       "      <td>15.412789</td>\n",
       "      <td>929.14795</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>121.260360</td>\n",
       "      <td>1.478411</td>\n",
       "      <td>0.006669</td>\n",
       "      <td>-0.062925</td>\n",
       "      <td>40</td>\n",
       "      <td>14</td>\n",
       "      <td>0.045240</td>\n",
       "      <td>0</td>\n",
       "      <td>46</td>\n",
       "      <td>False</td>\n",
       "      <td>363</td>\n",
       "      <td>2.542112e+07</td>\n",
       "      <td>2.027254e+05</td>\n",
       "      <td>125.396830</td>\n",
       "      <td>7.175379</td>\n",
       "      <td>41</td>\n",
       "      <td>9.129451e+06</td>\n",
       "      <td>2.953375e+05</td>\n",
       "      <td>30.911932</td>\n",
       "      <td>7.950276</td>\n",
       "      <td>40</td>\n",
       "      <td>2.331529e+07</td>\n",
       "      <td>4.282189e+05</td>\n",
       "      <td>54.447136</td>\n",
       "      <td>6.342818</td>\n",
       "      <td>1.276291</td>\n",
       "      <td>0</td>\n",
       "      <td>1.607459</td>\n",
       "      <td>0.774898</td>\n",
       "      <td>0.832561</td>\n",
       "      <td>-49.117012</td>\n",
       "      <td>3.767042</td>\n",
       "      <td>24</td>\n",
       "      <td>4250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>145.896551</td>\n",
       "      <td>4.705023</td>\n",
       "      <td>71.733468</td>\n",
       "      <td>37.030489</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4197.3765</td>\n",
       "      <td>4125.8100</td>\n",
       "      <td>4288.3833</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>93.237220</td>\n",
       "      <td>89.321910</td>\n",
       "      <td>96.499870</td>\n",
       "      <td>2431.000500</td>\n",
       "      <td>2249.13130</td>\n",
       "      <td>2612.869600</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>47</td>\n",
       "      <td>RX Cam</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8983</td>\n",
       "      <td>5.161</td>\n",
       "      <td>4.726</td>\n",
       "      <td>4.540</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.69</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8668</td>\n",
       "      <td>451</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>61.24358</td>\n",
       "      <td>58.65978</td>\n",
       "      <td>0.024161</td>\n",
       "      <td>V* RX Cam</td>\n",
       "      <td>61.243601</td>\n",
       "      <td>58.659783</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>169</td>\n",
       "      <td>04 04 58.46430</td>\n",
       "      <td>+58 39 35.2183</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*  |SB*</td>\n",
       "      <td>-37.480</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G2Ib+A0V</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.7823</td>\n",
       "      <td>-1.03</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.850</td>\n",
       "      <td>7.700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.316</td>\n",
       "      <td>4.864</td>\n",
       "      <td>4.701</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.017083</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>470361114339849472</td>\n",
       "      <td>7.915605</td>\n",
       "      <td>0.000048</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1684.273088</td>\n",
       "      <td>0.000067</td>\n",
       "      <td>1684.274319</td>\n",
       "      <td>0.000067</td>\n",
       "      <td>1724.142415</td>\n",
       "      <td>0.000067</td>\n",
       "      <td>7.164460</td>\n",
       "      <td>0.000167</td>\n",
       "      <td>7.920512</td>\n",
       "      <td>0.000410</td>\n",
       "      <td>6.322293</td>\n",
       "      <td>0.000408</td>\n",
       "      <td>0.558655</td>\n",
       "      <td>0.000819</td>\n",
       "      <td>0.751370</td>\n",
       "      <td>0.002211</td>\n",
       "      <td>0.381385</td>\n",
       "      <td>0.001594</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.320731</td>\n",
       "      <td>0.000735</td>\n",
       "      <td>0.172620</td>\n",
       "      <td>0.000865</td>\n",
       "      <td>5.018454</td>\n",
       "      <td>0.002921</td>\n",
       "      <td>3.574752</td>\n",
       "      <td>0.007108</td>\n",
       "      <td>39</td>\n",
       "      <td>39</td>\n",
       "      <td>36</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>66</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 470386952863752576</td>\n",
       "      <td>470386952863752576</td>\n",
       "      <td>1295484018</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>61.537363</td>\n",
       "      <td>0.030875</td>\n",
       "      <td>58.808745</td>\n",
       "      <td>0.023022</td>\n",
       "      <td>0.132132</td>\n",
       "      <td>0.043068</td>\n",
       "      <td>3.067986</td>\n",
       "      <td>-0.254455</td>\n",
       "      <td>0.052470</td>\n",
       "      <td>-0.328641</td>\n",
       "      <td>0.050739</td>\n",
       "      <td>-0.265370</td>\n",
       "      <td>0.332557</td>\n",
       "      <td>-0.394827</td>\n",
       "      <td>0.355149</td>\n",
       "      <td>0.033005</td>\n",
       "      <td>0.256843</td>\n",
       "      <td>-0.390336</td>\n",
       "      <td>0.018167</td>\n",
       "      <td>0.290510</td>\n",
       "      <td>0.035524</td>\n",
       "      <td>336</td>\n",
       "      <td>336</td>\n",
       "      <td>328</td>\n",
       "      <td>8</td>\n",
       "      <td>8.546517</td>\n",
       "      <td>591.55835</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>316.627560</td>\n",
       "      <td>1.424711</td>\n",
       "      <td>0.006461</td>\n",
       "      <td>-0.075699</td>\n",
       "      <td>38</td>\n",
       "      <td>14</td>\n",
       "      <td>0.036265</td>\n",
       "      <td>0</td>\n",
       "      <td>41</td>\n",
       "      <td>False</td>\n",
       "      <td>354</td>\n",
       "      <td>1.464214e+06</td>\n",
       "      <td>1.428989e+04</td>\n",
       "      <td>102.465065</td>\n",
       "      <td>10.274354</td>\n",
       "      <td>41</td>\n",
       "      <td>4.688286e+05</td>\n",
       "      <td>1.754374e+04</td>\n",
       "      <td>26.723413</td>\n",
       "      <td>11.173853</td>\n",
       "      <td>40</td>\n",
       "      <td>1.424237e+06</td>\n",
       "      <td>3.564509e+04</td>\n",
       "      <td>39.956040</td>\n",
       "      <td>9.377965</td>\n",
       "      <td>1.292888</td>\n",
       "      <td>0</td>\n",
       "      <td>1.795888</td>\n",
       "      <td>0.899499</td>\n",
       "      <td>0.896389</td>\n",
       "      <td>-32.764626</td>\n",
       "      <td>4.780954</td>\n",
       "      <td>12</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>145.910199</td>\n",
       "      <td>4.917749</td>\n",
       "      <td>71.963649</td>\n",
       "      <td>37.138741</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4116.0000</td>\n",
       "      <td>4018.6533</td>\n",
       "      <td>4218.3667</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>40</td>\n",
       "      <td>LO Cam</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1017</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.03</td>\n",
       "      <td>0.23</td>\n",
       "      <td>11487</td>\n",
       "      <td>587</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>61.53742</td>\n",
       "      <td>58.80875</td>\n",
       "      <td>0.107573</td>\n",
       "      <td>V* LO Cam</td>\n",
       "      <td>61.537365</td>\n",
       "      <td>58.808746</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>11</td>\n",
       "      <td>04 06 08.96765</td>\n",
       "      <td>+58 48 31.4872</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>Ce*|V* |*  |IR |cC*</td>\n",
       "      <td>-32.760</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1321</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.100</td>\n",
       "      <td>11.040</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.941</td>\n",
       "      <td>7.400</td>\n",
       "      <td>7.252</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.006442</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>470386952863752576</td>\n",
       "      <td>12.650050</td>\n",
       "      <td>0.000310</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1669.726529</td>\n",
       "      <td>0.000438</td>\n",
       "      <td>1669.768989</td>\n",
       "      <td>0.000438</td>\n",
       "      <td>1669.873552</td>\n",
       "      <td>0.000438</td>\n",
       "      <td>10.260165</td>\n",
       "      <td>0.003166</td>\n",
       "      <td>11.187951</td>\n",
       "      <td>0.003075</td>\n",
       "      <td>9.374411</td>\n",
       "      <td>0.002371</td>\n",
       "      <td>0.630780</td>\n",
       "      <td>0.000679</td>\n",
       "      <td>0.957327</td>\n",
       "      <td>0.019985</td>\n",
       "      <td>0.574774</td>\n",
       "      <td>0.013803</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.229401</td>\n",
       "      <td>0.018556</td>\n",
       "      <td>0.111300</td>\n",
       "      <td>0.006342</td>\n",
       "      <td>4.024759</td>\n",
       "      <td>0.052196</td>\n",
       "      <td>0.805952</td>\n",
       "      <td>0.041874</td>\n",
       "      <td>35</td>\n",
       "      <td>35</td>\n",
       "      <td>36</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>67</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 473043922712140928</td>\n",
       "      <td>473043922712140928</td>\n",
       "      <td>724402692</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>58.590702</td>\n",
       "      <td>0.183128</td>\n",
       "      <td>58.653329</td>\n",
       "      <td>0.123241</td>\n",
       "      <td>1.500397</td>\n",
       "      <td>0.182395</td>\n",
       "      <td>8.226086</td>\n",
       "      <td>-2.033328</td>\n",
       "      <td>0.308871</td>\n",
       "      <td>1.225711</td>\n",
       "      <td>0.264014</td>\n",
       "      <td>-0.266724</td>\n",
       "      <td>-0.135109</td>\n",
       "      <td>-0.662874</td>\n",
       "      <td>0.231012</td>\n",
       "      <td>0.119553</td>\n",
       "      <td>0.319927</td>\n",
       "      <td>-0.316779</td>\n",
       "      <td>0.289871</td>\n",
       "      <td>0.164163</td>\n",
       "      <td>0.079802</td>\n",
       "      <td>345</td>\n",
       "      <td>345</td>\n",
       "      <td>303</td>\n",
       "      <td>42</td>\n",
       "      <td>84.864200</td>\n",
       "      <td>10872.66400</td>\n",
       "      <td>0.816728</td>\n",
       "      <td>2.229629e+02</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>1.354109</td>\n",
       "      <td>1.400387</td>\n",
       "      <td>0.039169</td>\n",
       "      <td>-0.040654</td>\n",
       "      <td>37</td>\n",
       "      <td>15</td>\n",
       "      <td>0.176130</td>\n",
       "      <td>0</td>\n",
       "      <td>47</td>\n",
       "      <td>False</td>\n",
       "      <td>370</td>\n",
       "      <td>8.551959e+06</td>\n",
       "      <td>1.888535e+05</td>\n",
       "      <td>45.283570</td>\n",
       "      <td>8.358202</td>\n",
       "      <td>40</td>\n",
       "      <td>3.073829e+06</td>\n",
       "      <td>1.195921e+05</td>\n",
       "      <td>25.702604</td>\n",
       "      <td>9.132189</td>\n",
       "      <td>40</td>\n",
       "      <td>9.507851e+06</td>\n",
       "      <td>2.417568e+05</td>\n",
       "      <td>39.328167</td>\n",
       "      <td>7.316714</td>\n",
       "      <td>1.471204</td>\n",
       "      <td>0</td>\n",
       "      <td>1.815474</td>\n",
       "      <td>0.773987</td>\n",
       "      <td>1.041488</td>\n",
       "      <td>-10.242087</td>\n",
       "      <td>6.221276</td>\n",
       "      <td>16</td>\n",
       "      <td>4250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>144.853190</td>\n",
       "      <td>3.798686</td>\n",
       "      <td>70.054226</td>\n",
       "      <td>37.369639</td>\n",
       "      <td>102001.0</td>\n",
       "      <td>4060.0000</td>\n",
       "      <td>3928.0000</td>\n",
       "      <td>4333.6665</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>31.391851</td>\n",
       "      <td>27.552310</td>\n",
       "      <td>33.537140</td>\n",
       "      <td>241.230770</td>\n",
       "      <td>207.30194</td>\n",
       "      <td>275.159600</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>46</td>\n",
       "      <td>RW Cam</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.2152</td>\n",
       "      <td>5.817</td>\n",
       "      <td>5.289</td>\n",
       "      <td>5.077</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.21</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9414</td>\n",
       "      <td>451</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>58.59070</td>\n",
       "      <td>58.65332</td>\n",
       "      <td>0.034188</td>\n",
       "      <td>V* RW Cam</td>\n",
       "      <td>58.590719</td>\n",
       "      <td>58.653324</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>146</td>\n",
       "      <td>03 54 21.77254</td>\n",
       "      <td>+58 39 11.9670</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*  |** |**</td>\n",
       "      <td>-25.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.5004</td>\n",
       "      <td>-2.03</td>\n",
       "      <td>1.23</td>\n",
       "      <td>0.0050</td>\n",
       "      <td>0.0</td>\n",
       "      <td>99.0</td>\n",
       "      <td>10.020</td>\n",
       "      <td>8.720</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.687</td>\n",
       "      <td>5.187</td>\n",
       "      <td>4.979</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.036800</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>473043922712140928</td>\n",
       "      <td>16.416688</td>\n",
       "      <td>0.000333</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1660.628236</td>\n",
       "      <td>0.000471</td>\n",
       "      <td>1660.629861</td>\n",
       "      <td>0.000471</td>\n",
       "      <td>1661.445308</td>\n",
       "      <td>0.000471</td>\n",
       "      <td>8.091810</td>\n",
       "      <td>0.001865</td>\n",
       "      <td>8.940975</td>\n",
       "      <td>0.004078</td>\n",
       "      <td>7.175902</td>\n",
       "      <td>0.000762</td>\n",
       "      <td>0.716571</td>\n",
       "      <td>0.002998</td>\n",
       "      <td>0.934973</td>\n",
       "      <td>0.005408</td>\n",
       "      <td>0.578917</td>\n",
       "      <td>0.001493</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.374264</td>\n",
       "      <td>0.015492</td>\n",
       "      <td>0.247488</td>\n",
       "      <td>0.006093</td>\n",
       "      <td>4.385201</td>\n",
       "      <td>0.039446</td>\n",
       "      <td>1.019585</td>\n",
       "      <td>0.080445</td>\n",
       "      <td>40</td>\n",
       "      <td>39</td>\n",
       "      <td>40</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>W_VIR</td>\n",
       "      <td>NOT_APPLICABLE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>68</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 473293889810320128</td>\n",
       "      <td>473293889810320128</td>\n",
       "      <td>1099278120</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>57.106977</td>\n",
       "      <td>0.024019</td>\n",
       "      <td>59.442268</td>\n",
       "      <td>0.020856</td>\n",
       "      <td>0.715604</td>\n",
       "      <td>0.031478</td>\n",
       "      <td>22.733799</td>\n",
       "      <td>0.564682</td>\n",
       "      <td>0.045275</td>\n",
       "      <td>-0.709959</td>\n",
       "      <td>0.047072</td>\n",
       "      <td>-0.092913</td>\n",
       "      <td>0.227899</td>\n",
       "      <td>-0.467641</td>\n",
       "      <td>0.146651</td>\n",
       "      <td>-0.117290</td>\n",
       "      <td>0.146649</td>\n",
       "      <td>-0.325282</td>\n",
       "      <td>-0.026855</td>\n",
       "      <td>0.173038</td>\n",
       "      <td>0.320978</td>\n",
       "      <td>364</td>\n",
       "      <td>364</td>\n",
       "      <td>351</td>\n",
       "      <td>13</td>\n",
       "      <td>12.385860</td>\n",
       "      <td>783.64480</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>247.865500</td>\n",
       "      <td>1.372727</td>\n",
       "      <td>0.005627</td>\n",
       "      <td>0.003075</td>\n",
       "      <td>41</td>\n",
       "      <td>16</td>\n",
       "      <td>0.036977</td>\n",
       "      <td>0</td>\n",
       "      <td>43</td>\n",
       "      <td>True</td>\n",
       "      <td>372</td>\n",
       "      <td>1.828076e+06</td>\n",
       "      <td>1.346268e+04</td>\n",
       "      <td>135.788440</td>\n",
       "      <td>10.033380</td>\n",
       "      <td>42</td>\n",
       "      <td>4.365054e+05</td>\n",
       "      <td>1.319782e+04</td>\n",
       "      <td>33.074055</td>\n",
       "      <td>11.251414</td>\n",
       "      <td>42</td>\n",
       "      <td>2.046569e+06</td>\n",
       "      <td>4.001172e+04</td>\n",
       "      <td>51.149250</td>\n",
       "      <td>8.984354</td>\n",
       "      <td>1.358300</td>\n",
       "      <td>0</td>\n",
       "      <td>2.267060</td>\n",
       "      <td>1.218034</td>\n",
       "      <td>1.049026</td>\n",
       "      <td>-27.596651</td>\n",
       "      <td>3.915882</td>\n",
       "      <td>12</td>\n",
       "      <td>4500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>143.760987</td>\n",
       "      <td>3.929711</td>\n",
       "      <td>69.391056</td>\n",
       "      <td>38.334253</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3745.1000</td>\n",
       "      <td>3610.7500</td>\n",
       "      <td>3889.5050</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>39.692413</td>\n",
       "      <td>36.799824</td>\n",
       "      <td>42.701145</td>\n",
       "      <td>279.230900</td>\n",
       "      <td>259.75190</td>\n",
       "      <td>298.709900</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>43</td>\n",
       "      <td>OX Cam</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7050</td>\n",
       "      <td>7.329</td>\n",
       "      <td>6.740</td>\n",
       "      <td>6.478</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.82</td>\n",
       "      <td>0.06</td>\n",
       "      <td>9152</td>\n",
       "      <td>451</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>57.10700</td>\n",
       "      <td>59.44225</td>\n",
       "      <td>0.078808</td>\n",
       "      <td>V* OX Cam</td>\n",
       "      <td>57.106972</td>\n",
       "      <td>59.442271</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>9</td>\n",
       "      <td>03 48 25.67328</td>\n",
       "      <td>+59 26 32.1774</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>*  |IR |cC*|V*</td>\n",
       "      <td>-27.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6-G1Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.7156</td>\n",
       "      <td>0.57</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.990</td>\n",
       "      <td>10.810</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.400</td>\n",
       "      <td>6.768</td>\n",
       "      <td>6.505</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.014061</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>473293889810320128</td>\n",
       "      <td>5.066430</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1691.337088</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1691.238313</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1726.830734</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>9.995532</td>\n",
       "      <td>0.000178</td>\n",
       "      <td>11.165368</td>\n",
       "      <td>0.000466</td>\n",
       "      <td>8.952588</td>\n",
       "      <td>0.000137</td>\n",
       "      <td>0.489095</td>\n",
       "      <td>0.000717</td>\n",
       "      <td>0.741308</td>\n",
       "      <td>0.002283</td>\n",
       "      <td>0.481126</td>\n",
       "      <td>0.000994</td>\n",
       "      <td>0.193157</td>\n",
       "      <td>0.233840</td>\n",
       "      <td>0.350216</td>\n",
       "      <td>0.001774</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.645712</td>\n",
       "      <td>0.003565</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>36</td>\n",
       "      <td>34</td>\n",
       "      <td>32</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>69</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 486834100624652800</td>\n",
       "      <td>486834100624652800</td>\n",
       "      <td>65769671</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>54.083947</td>\n",
       "      <td>0.021781</td>\n",
       "      <td>62.287227</td>\n",
       "      <td>0.020518</td>\n",
       "      <td>0.169925</td>\n",
       "      <td>0.028024</td>\n",
       "      <td>6.063590</td>\n",
       "      <td>0.330713</td>\n",
       "      <td>0.039340</td>\n",
       "      <td>0.428755</td>\n",
       "      <td>0.042858</td>\n",
       "      <td>-0.149178</td>\n",
       "      <td>0.220997</td>\n",
       "      <td>-0.509381</td>\n",
       "      <td>0.176069</td>\n",
       "      <td>-0.132552</td>\n",
       "      <td>0.168431</td>\n",
       "      <td>-0.363039</td>\n",
       "      <td>-0.066072</td>\n",
       "      <td>0.176650</td>\n",
       "      <td>0.077617</td>\n",
       "      <td>336</td>\n",
       "      <td>318</td>\n",
       "      <td>333</td>\n",
       "      <td>3</td>\n",
       "      <td>11.423852</td>\n",
       "      <td>715.09827</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.162852e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>219.690300</td>\n",
       "      <td>1.390995</td>\n",
       "      <td>0.005361</td>\n",
       "      <td>-0.038103</td>\n",
       "      <td>38</td>\n",
       "      <td>16</td>\n",
       "      <td>0.032567</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>False</td>\n",
       "      <td>354</td>\n",
       "      <td>1.563034e+05</td>\n",
       "      <td>1.149260e+03</td>\n",
       "      <td>136.003540</td>\n",
       "      <td>12.703445</td>\n",
       "      <td>39</td>\n",
       "      <td>4.347328e+04</td>\n",
       "      <td>1.353275e+03</td>\n",
       "      <td>32.124508</td>\n",
       "      <td>13.755832</td>\n",
       "      <td>39</td>\n",
       "      <td>1.696019e+05</td>\n",
       "      <td>3.306078e+03</td>\n",
       "      <td>51.300050</td>\n",
       "      <td>11.688343</td>\n",
       "      <td>1.363215</td>\n",
       "      <td>0</td>\n",
       "      <td>2.067489</td>\n",
       "      <td>1.052387</td>\n",
       "      <td>1.015101</td>\n",
       "      <td>-46.525808</td>\n",
       "      <td>4.405365</td>\n",
       "      <td>16</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>140.857548</td>\n",
       "      <td>5.300839</td>\n",
       "      <td>68.644994</td>\n",
       "      <td>41.485080</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3815.9800</td>\n",
       "      <td>3649.3333</td>\n",
       "      <td>4162.3900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>45.950030</td>\n",
       "      <td>38.620014</td>\n",
       "      <td>50.242466</td>\n",
       "      <td>403.358030</td>\n",
       "      <td>292.41794</td>\n",
       "      <td>514.298100</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>38</td>\n",
       "      <td>AM Cam</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.6018</td>\n",
       "      <td>10.179</td>\n",
       "      <td>9.517</td>\n",
       "      <td>9.313</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.28</td>\n",
       "      <td>0.07</td>\n",
       "      <td>11785</td>\n",
       "      <td>456</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>54.08396</td>\n",
       "      <td>62.28719</td>\n",
       "      <td>0.134028</td>\n",
       "      <td>V* AM Cam</td>\n",
       "      <td>54.083944</td>\n",
       "      <td>62.287225</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>23</td>\n",
       "      <td>03 36 20.14658</td>\n",
       "      <td>+62 17 14.0096</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |*  |IR</td>\n",
       "      <td>-46.530</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1699</td>\n",
       "      <td>0.33</td>\n",
       "      <td>0.43</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.028</td>\n",
       "      <td>9.422</td>\n",
       "      <td>9.226</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.008393</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>486834100624652800</td>\n",
       "      <td>3.996898</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1692.637413</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>1692.632920</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>1692.649422</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>12.740298</td>\n",
       "      <td>0.000089</td>\n",
       "      <td>13.792213</td>\n",
       "      <td>0.000360</td>\n",
       "      <td>11.719069</td>\n",
       "      <td>0.000254</td>\n",
       "      <td>0.439872</td>\n",
       "      <td>0.000364</td>\n",
       "      <td>0.609861</td>\n",
       "      <td>0.002212</td>\n",
       "      <td>0.383831</td>\n",
       "      <td>0.001365</td>\n",
       "      <td>-0.011395</td>\n",
       "      <td>0.224998</td>\n",
       "      <td>0.403697</td>\n",
       "      <td>0.001215</td>\n",
       "      <td>0.172590</td>\n",
       "      <td>0.000895</td>\n",
       "      <td>4.472794</td>\n",
       "      <td>0.003580</td>\n",
       "      <td>2.828425</td>\n",
       "      <td>0.004526</td>\n",
       "      <td>39</td>\n",
       "      <td>39</td>\n",
       "      <td>37</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>70</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 505178760644698880</td>\n",
       "      <td>505178760644698880</td>\n",
       "      <td>94915801</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>31.259129</td>\n",
       "      <td>0.019525</td>\n",
       "      <td>57.142935</td>\n",
       "      <td>0.024805</td>\n",
       "      <td>0.115436</td>\n",
       "      <td>0.031361</td>\n",
       "      <td>3.680827</td>\n",
       "      <td>-1.053528</td>\n",
       "      <td>0.063283</td>\n",
       "      <td>0.205382</td>\n",
       "      <td>0.064231</td>\n",
       "      <td>0.178181</td>\n",
       "      <td>0.005601</td>\n",
       "      <td>0.109536</td>\n",
       "      <td>-0.146886</td>\n",
       "      <td>-0.059364</td>\n",
       "      <td>-0.188611</td>\n",
       "      <td>-0.068974</td>\n",
       "      <td>0.136399</td>\n",
       "      <td>0.171812</td>\n",
       "      <td>0.160324</td>\n",
       "      <td>289</td>\n",
       "      <td>289</td>\n",
       "      <td>288</td>\n",
       "      <td>1</td>\n",
       "      <td>-0.406458</td>\n",
       "      <td>272.78873</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>302.005220</td>\n",
       "      <td>1.535008</td>\n",
       "      <td>0.004974</td>\n",
       "      <td>-0.063632</td>\n",
       "      <td>33</td>\n",
       "      <td>14</td>\n",
       "      <td>0.047779</td>\n",
       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>False</td>\n",
       "      <td>307</td>\n",
       "      <td>2.133835e+05</td>\n",
       "      <td>1.610590e+03</td>\n",
       "      <td>132.487780</td>\n",
       "      <td>12.365463</td>\n",
       "      <td>33</td>\n",
       "      <td>9.813039e+04</td>\n",
       "      <td>2.872625e+03</td>\n",
       "      <td>34.160530</td>\n",
       "      <td>12.871880</td>\n",
       "      <td>34</td>\n",
       "      <td>1.692814e+05</td>\n",
       "      <td>2.929950e+03</td>\n",
       "      <td>57.776188</td>\n",
       "      <td>11.690397</td>\n",
       "      <td>1.253198</td>\n",
       "      <td>0</td>\n",
       "      <td>1.181482</td>\n",
       "      <td>0.506416</td>\n",
       "      <td>0.675066</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>132.820697</td>\n",
       "      <td>-4.309004</td>\n",
       "      <td>51.945061</td>\n",
       "      <td>41.202518</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4895.3965</td>\n",
       "      <td>4870.1900</td>\n",
       "      <td>4919.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>257</td>\n",
       "      <td>CI Per</td>\n",
       "      <td>CEP:</td>\n",
       "      <td>0.5286</td>\n",
       "      <td>10.666</td>\n",
       "      <td>10.427</td>\n",
       "      <td>10.293</td>\n",
       "      <td>-0.32</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.38</td>\n",
       "      <td>0.07</td>\n",
       "      <td>14135</td>\n",
       "      <td>465</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>31.25912</td>\n",
       "      <td>57.14292</td>\n",
       "      <td>0.056996</td>\n",
       "      <td>V* CI Per</td>\n",
       "      <td>31.259138</td>\n",
       "      <td>57.142934</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>26</td>\n",
       "      <td>02 05 02.19305</td>\n",
       "      <td>+57 08 34.5628</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |*  |IR</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1154</td>\n",
       "      <td>-1.05</td>\n",
       "      <td>0.21</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.759</td>\n",
       "      <td>10.457</td>\n",
       "      <td>10.321</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.016637</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>505178760644698880</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.297002</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1694.818277</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>1694.792519</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>1694.812276</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>12.341083</td>\n",
       "      <td>0.000318</td>\n",
       "      <td>12.816350</td>\n",
       "      <td>0.001384</td>\n",
       "      <td>11.676058</td>\n",
       "      <td>0.000700</td>\n",
       "      <td>0.418844</td>\n",
       "      <td>0.000425</td>\n",
       "      <td>0.525267</td>\n",
       "      <td>0.002398</td>\n",
       "      <td>0.316090</td>\n",
       "      <td>0.001280</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.232223</td>\n",
       "      <td>0.001170</td>\n",
       "      <td>0.073365</td>\n",
       "      <td>0.001545</td>\n",
       "      <td>4.222084</td>\n",
       "      <td>0.003576</td>\n",
       "      <td>1.702520</td>\n",
       "      <td>0.012670</td>\n",
       "      <td>35</td>\n",
       "      <td>33</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 506581226385580288</td>\n",
       "      <td>506581226385580288</td>\n",
       "      <td>754558903</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>27.779246</td>\n",
       "      <td>0.019421</td>\n",
       "      <td>59.888215</td>\n",
       "      <td>0.028317</td>\n",
       "      <td>0.334629</td>\n",
       "      <td>0.041980</td>\n",
       "      <td>7.971144</td>\n",
       "      <td>-1.196993</td>\n",
       "      <td>0.031995</td>\n",
       "      <td>-0.070424</td>\n",
       "      <td>0.061530</td>\n",
       "      <td>-0.537704</td>\n",
       "      <td>0.202368</td>\n",
       "      <td>-0.523971</td>\n",
       "      <td>0.150166</td>\n",
       "      <td>-0.172851</td>\n",
       "      <td>0.050960</td>\n",
       "      <td>0.102332</td>\n",
       "      <td>-0.141594</td>\n",
       "      <td>0.066746</td>\n",
       "      <td>-0.705974</td>\n",
       "      <td>667</td>\n",
       "      <td>667</td>\n",
       "      <td>635</td>\n",
       "      <td>32</td>\n",
       "      <td>22.333760</td>\n",
       "      <td>1800.45200</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>7.273094e-01</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>295.830020</td>\n",
       "      <td>1.483395</td>\n",
       "      <td>0.005804</td>\n",
       "      <td>0.008684</td>\n",
       "      <td>77</td>\n",
       "      <td>17</td>\n",
       "      <td>0.041901</td>\n",
       "      <td>0</td>\n",
       "      <td>83</td>\n",
       "      <td>True</td>\n",
       "      <td>709</td>\n",
       "      <td>1.314180e+06</td>\n",
       "      <td>1.051004e+04</td>\n",
       "      <td>125.040405</td>\n",
       "      <td>10.391729</td>\n",
       "      <td>80</td>\n",
       "      <td>4.774948e+05</td>\n",
       "      <td>1.498473e+04</td>\n",
       "      <td>31.865417</td>\n",
       "      <td>11.153967</td>\n",
       "      <td>81</td>\n",
       "      <td>1.186686e+06</td>\n",
       "      <td>2.370303e+04</td>\n",
       "      <td>50.064740</td>\n",
       "      <td>9.576080</td>\n",
       "      <td>1.266327</td>\n",
       "      <td>0</td>\n",
       "      <td>1.577887</td>\n",
       "      <td>0.762238</td>\n",
       "      <td>0.815649</td>\n",
       "      <td>-54.557121</td>\n",
       "      <td>3.384614</td>\n",
       "      <td>25</td>\n",
       "      <td>4500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>130.358542</td>\n",
       "      <td>-2.120220</td>\n",
       "      <td>51.530118</td>\n",
       "      <td>44.479819</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4231.0000</td>\n",
       "      <td>4171.9497</td>\n",
       "      <td>4275.7050</td>\n",
       "      <td>0.4085</td>\n",
       "      <td>0.1829</td>\n",
       "      <td>1.4417</td>\n",
       "      <td>0.2113</td>\n",
       "      <td>0.0950</td>\n",
       "      <td>0.6803</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>48.329033</td>\n",
       "      <td>47.323700</td>\n",
       "      <td>49.706825</td>\n",
       "      <td>674.346400</td>\n",
       "      <td>552.28950</td>\n",
       "      <td>796.403260</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>131</td>\n",
       "      <td>VV Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7929</td>\n",
       "      <td>8.316</td>\n",
       "      <td>7.880</td>\n",
       "      <td>7.697</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>-0.07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.49</td>\n",
       "      <td>0.05</td>\n",
       "      <td>10260</td>\n",
       "      <td>443</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>27.77928</td>\n",
       "      <td>59.88820</td>\n",
       "      <td>0.080286</td>\n",
       "      <td>V* VV Cas</td>\n",
       "      <td>27.779257</td>\n",
       "      <td>59.888215</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>75</td>\n",
       "      <td>01 51 07.02159</td>\n",
       "      <td>+59 53 17.5735</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-50.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3346</td>\n",
       "      <td>-1.20</td>\n",
       "      <td>-0.07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.850</td>\n",
       "      <td>10.730</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.213</td>\n",
       "      <td>7.824</td>\n",
       "      <td>7.689</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.018585</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>506581226385580288</td>\n",
       "      <td>6.206267</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1685.383026</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>1685.345330</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>1722.631191</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>10.301658</td>\n",
       "      <td>0.000094</td>\n",
       "      <td>11.014805</td>\n",
       "      <td>0.000156</td>\n",
       "      <td>9.502960</td>\n",
       "      <td>0.000085</td>\n",
       "      <td>0.712897</td>\n",
       "      <td>0.000514</td>\n",
       "      <td>0.913440</td>\n",
       "      <td>0.000586</td>\n",
       "      <td>0.573590</td>\n",
       "      <td>0.000379</td>\n",
       "      <td>-0.056374</td>\n",
       "      <td>0.233759</td>\n",
       "      <td>0.424160</td>\n",
       "      <td>0.000464</td>\n",
       "      <td>0.158275</td>\n",
       "      <td>0.000621</td>\n",
       "      <td>4.693114</td>\n",
       "      <td>0.001164</td>\n",
       "      <td>2.750282</td>\n",
       "      <td>0.003728</td>\n",
       "      <td>76</td>\n",
       "      <td>76</td>\n",
       "      <td>77</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>72</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 506602976101284736</td>\n",
       "      <td>506602976101284736</td>\n",
       "      <td>686154980</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>26.761308</td>\n",
       "      <td>0.010915</td>\n",
       "      <td>59.606258</td>\n",
       "      <td>0.014363</td>\n",
       "      <td>0.015002</td>\n",
       "      <td>0.021891</td>\n",
       "      <td>0.685301</td>\n",
       "      <td>-0.924404</td>\n",
       "      <td>0.020573</td>\n",
       "      <td>0.199639</td>\n",
       "      <td>0.035858</td>\n",
       "      <td>-0.499353</td>\n",
       "      <td>-0.017656</td>\n",
       "      <td>-0.577162</td>\n",
       "      <td>0.334589</td>\n",
       "      <td>-0.003806</td>\n",
       "      <td>0.235705</td>\n",
       "      <td>-0.229466</td>\n",
       "      <td>0.124103</td>\n",
       "      <td>-0.182465</td>\n",
       "      <td>-0.742765</td>\n",
       "      <td>646</td>\n",
       "      <td>97</td>\n",
       "      <td>643</td>\n",
       "      <td>3</td>\n",
       "      <td>0.059977</td>\n",
       "      <td>639.47690</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>125.861984</td>\n",
       "      <td>1.453017</td>\n",
       "      <td>0.002980</td>\n",
       "      <td>-0.010164</td>\n",
       "      <td>73</td>\n",
       "      <td>17</td>\n",
       "      <td>0.042966</td>\n",
       "      <td>0</td>\n",
       "      <td>74</td>\n",
       "      <td>True</td>\n",
       "      <td>655</td>\n",
       "      <td>9.300651e+04</td>\n",
       "      <td>7.059424e+02</td>\n",
       "      <td>131.748020</td>\n",
       "      <td>13.267082</td>\n",
       "      <td>74</td>\n",
       "      <td>3.426561e+04</td>\n",
       "      <td>1.016266e+03</td>\n",
       "      <td>33.717180</td>\n",
       "      <td>14.014242</td>\n",
       "      <td>72</td>\n",
       "      <td>8.774609e+04</td>\n",
       "      <td>1.666600e+03</td>\n",
       "      <td>52.649757</td>\n",
       "      <td>12.403851</td>\n",
       "      <td>1.311862</td>\n",
       "      <td>0</td>\n",
       "      <td>1.610392</td>\n",
       "      <td>0.747160</td>\n",
       "      <td>0.863232</td>\n",
       "      <td>-119.174021</td>\n",
       "      <td>15.289972</td>\n",
       "      <td>2</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>129.920596</td>\n",
       "      <td>-2.508838</td>\n",
       "      <td>50.709909</td>\n",
       "      <td>44.489076</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4285.4937</td>\n",
       "      <td>4176.5850</td>\n",
       "      <td>4470.5800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>102</td>\n",
       "      <td>IO Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7485</td>\n",
       "      <td>11.082</td>\n",
       "      <td>10.612</td>\n",
       "      <td>10.503</td>\n",
       "      <td>-0.49</td>\n",
       "      <td>-0.52</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15.16</td>\n",
       "      <td>0.07</td>\n",
       "      <td>16998</td>\n",
       "      <td>499</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>26.76129</td>\n",
       "      <td>59.60625</td>\n",
       "      <td>0.045159</td>\n",
       "      <td>V* IO Cas</td>\n",
       "      <td>26.761316</td>\n",
       "      <td>59.606258</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>24</td>\n",
       "      <td>01 47 02.71589</td>\n",
       "      <td>+59 36 22.5273</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |IR</td>\n",
       "      <td>-119.170</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0150</td>\n",
       "      <td>-0.92</td>\n",
       "      <td>0.20</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.840</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.048</td>\n",
       "      <td>10.534</td>\n",
       "      <td>10.422</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.014659</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>506602976101284736</td>\n",
       "      <td>5.604120</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1689.177884</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>1689.127589</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>1689.189665</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>13.191811</td>\n",
       "      <td>0.000071</td>\n",
       "      <td>13.921275</td>\n",
       "      <td>0.000259</td>\n",
       "      <td>12.349575</td>\n",
       "      <td>0.000155</td>\n",
       "      <td>0.669936</td>\n",
       "      <td>0.000335</td>\n",
       "      <td>0.845890</td>\n",
       "      <td>0.001700</td>\n",
       "      <td>0.548491</td>\n",
       "      <td>0.001153</td>\n",
       "      <td>-0.067455</td>\n",
       "      <td>0.233762</td>\n",
       "      <td>0.427444</td>\n",
       "      <td>0.000530</td>\n",
       "      <td>0.202959</td>\n",
       "      <td>0.000350</td>\n",
       "      <td>4.986323</td>\n",
       "      <td>0.001294</td>\n",
       "      <td>2.988120</td>\n",
       "      <td>0.003042</td>\n",
       "      <td>74</td>\n",
       "      <td>74</td>\n",
       "      <td>72</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>73</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 506699870563323264</td>\n",
       "      <td>506699870563323264</td>\n",
       "      <td>1500770380</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>33.281189</td>\n",
       "      <td>0.027137</td>\n",
       "      <td>58.079952</td>\n",
       "      <td>0.033576</td>\n",
       "      <td>0.225958</td>\n",
       "      <td>0.038647</td>\n",
       "      <td>5.846727</td>\n",
       "      <td>-0.261667</td>\n",
       "      <td>0.072314</td>\n",
       "      <td>0.052601</td>\n",
       "      <td>0.084105</td>\n",
       "      <td>0.352978</td>\n",
       "      <td>0.029541</td>\n",
       "      <td>-0.360116</td>\n",
       "      <td>-0.222742</td>\n",
       "      <td>-0.374511</td>\n",
       "      <td>-0.304565</td>\n",
       "      <td>-0.238548</td>\n",
       "      <td>0.302917</td>\n",
       "      <td>0.283259</td>\n",
       "      <td>0.518650</td>\n",
       "      <td>233</td>\n",
       "      <td>233</td>\n",
       "      <td>213</td>\n",
       "      <td>20</td>\n",
       "      <td>5.397046</td>\n",
       "      <td>337.71738</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>443.156220</td>\n",
       "      <td>1.501822</td>\n",
       "      <td>0.007754</td>\n",
       "      <td>0.107758</td>\n",
       "      <td>27</td>\n",
       "      <td>13</td>\n",
       "      <td>0.064118</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>False</td>\n",
       "      <td>241</td>\n",
       "      <td>5.306485e+05</td>\n",
       "      <td>7.082011e+03</td>\n",
       "      <td>74.929070</td>\n",
       "      <td>11.376349</td>\n",
       "      <td>26</td>\n",
       "      <td>2.038835e+05</td>\n",
       "      <td>9.064273e+03</td>\n",
       "      <td>22.493088</td>\n",
       "      <td>12.077933</td>\n",
       "      <td>27</td>\n",
       "      <td>4.526774e+05</td>\n",
       "      <td>1.529550e+04</td>\n",
       "      <td>29.595453</td>\n",
       "      <td>10.622448</td>\n",
       "      <td>1.237280</td>\n",
       "      <td>0</td>\n",
       "      <td>1.455485</td>\n",
       "      <td>0.701585</td>\n",
       "      <td>0.753900</td>\n",
       "      <td>-30.765972</td>\n",
       "      <td>9.956159</td>\n",
       "      <td>4</td>\n",
       "      <td>5250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>133.579020</td>\n",
       "      <td>-3.093178</td>\n",
       "      <td>53.795036</td>\n",
       "      <td>41.554682</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4373.4136</td>\n",
       "      <td>4263.3500</td>\n",
       "      <td>4529.0000</td>\n",
       "      <td>0.1435</td>\n",
       "      <td>0.0390</td>\n",
       "      <td>1.4111</td>\n",
       "      <td>0.0570</td>\n",
       "      <td>0.0113</td>\n",
       "      <td>0.4958</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>41.085827</td>\n",
       "      <td>38.311440</td>\n",
       "      <td>43.234570</td>\n",
       "      <td>556.366500</td>\n",
       "      <td>415.61475</td>\n",
       "      <td>697.118300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>266</td>\n",
       "      <td>UX Per</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6595</td>\n",
       "      <td>9.577</td>\n",
       "      <td>9.171</td>\n",
       "      <td>9.009</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.39</td>\n",
       "      <td>0.07</td>\n",
       "      <td>11736</td>\n",
       "      <td>450</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>33.28130</td>\n",
       "      <td>58.07997</td>\n",
       "      <td>0.221175</td>\n",
       "      <td>V* UX Per</td>\n",
       "      <td>33.281191</td>\n",
       "      <td>58.079951</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>69</td>\n",
       "      <td>02 13 07.48592</td>\n",
       "      <td>+58 04 47.8247</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-41.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2260</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>0.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.140</td>\n",
       "      <td>11.260</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.481</td>\n",
       "      <td>9.059</td>\n",
       "      <td>8.897</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.004137</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>506699870563323264</td>\n",
       "      <td>4.565243</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1692.259951</td>\n",
       "      <td>0.000033</td>\n",
       "      <td>1692.340186</td>\n",
       "      <td>0.000033</td>\n",
       "      <td>1692.422963</td>\n",
       "      <td>0.000033</td>\n",
       "      <td>11.266917</td>\n",
       "      <td>0.000327</td>\n",
       "      <td>11.937774</td>\n",
       "      <td>0.000419</td>\n",
       "      <td>10.550765</td>\n",
       "      <td>0.000273</td>\n",
       "      <td>0.797752</td>\n",
       "      <td>0.001603</td>\n",
       "      <td>0.853227</td>\n",
       "      <td>0.001846</td>\n",
       "      <td>0.547041</td>\n",
       "      <td>0.001175</td>\n",
       "      <td>0.047394</td>\n",
       "      <td>0.225008</td>\n",
       "      <td>0.386542</td>\n",
       "      <td>0.001373</td>\n",
       "      <td>0.209493</td>\n",
       "      <td>0.001163</td>\n",
       "      <td>4.308203</td>\n",
       "      <td>0.003307</td>\n",
       "      <td>2.290346</td>\n",
       "      <td>0.006174</td>\n",
       "      <td>24</td>\n",
       "      <td>25</td>\n",
       "      <td>25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>74</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 506779550797525760</td>\n",
       "      <td>506779550797525760</td>\n",
       "      <td>1127769413</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>31.952002</td>\n",
       "      <td>0.021261</td>\n",
       "      <td>58.443534</td>\n",
       "      <td>0.024652</td>\n",
       "      <td>0.329827</td>\n",
       "      <td>0.030806</td>\n",
       "      <td>10.706683</td>\n",
       "      <td>-0.055272</td>\n",
       "      <td>0.056864</td>\n",
       "      <td>-1.245127</td>\n",
       "      <td>0.061683</td>\n",
       "      <td>0.124513</td>\n",
       "      <td>0.161171</td>\n",
       "      <td>-0.106307</td>\n",
       "      <td>-0.060474</td>\n",
       "      <td>0.037522</td>\n",
       "      <td>-0.064921</td>\n",
       "      <td>-0.053111</td>\n",
       "      <td>0.182846</td>\n",
       "      <td>0.023642</td>\n",
       "      <td>0.069743</td>\n",
       "      <td>291</td>\n",
       "      <td>291</td>\n",
       "      <td>289</td>\n",
       "      <td>2</td>\n",
       "      <td>3.806085</td>\n",
       "      <td>383.89413</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>209.704640</td>\n",
       "      <td>1.482561</td>\n",
       "      <td>0.005924</td>\n",
       "      <td>-0.044046</td>\n",
       "      <td>33</td>\n",
       "      <td>14</td>\n",
       "      <td>0.043489</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>False</td>\n",
       "      <td>308</td>\n",
       "      <td>5.395115e+06</td>\n",
       "      <td>5.343224e+04</td>\n",
       "      <td>100.971160</td>\n",
       "      <td>8.858364</td>\n",
       "      <td>35</td>\n",
       "      <td>2.174374e+06</td>\n",
       "      <td>7.057759e+04</td>\n",
       "      <td>30.808280</td>\n",
       "      <td>9.508053</td>\n",
       "      <td>36</td>\n",
       "      <td>5.060116e+06</td>\n",
       "      <td>1.046017e+05</td>\n",
       "      <td>48.375080</td>\n",
       "      <td>8.001519</td>\n",
       "      <td>1.340933</td>\n",
       "      <td>0</td>\n",
       "      <td>1.506534</td>\n",
       "      <td>0.649689</td>\n",
       "      <td>0.856845</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>132.801698</td>\n",
       "      <td>-2.957147</td>\n",
       "      <td>53.176168</td>\n",
       "      <td>42.193983</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4402.1200</td>\n",
       "      <td>4283.2100</td>\n",
       "      <td>4486.6665</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>88.008030</td>\n",
       "      <td>84.722450</td>\n",
       "      <td>92.962410</td>\n",
       "      <td>2620.516600</td>\n",
       "      <td>2230.85100</td>\n",
       "      <td>3010.182100</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>270</td>\n",
       "      <td>VX Per</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0370</td>\n",
       "      <td>6.879</td>\n",
       "      <td>6.439</td>\n",
       "      <td>6.240</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.03</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.84</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9678</td>\n",
       "      <td>447</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>31.95200</td>\n",
       "      <td>58.44353</td>\n",
       "      <td>0.013847</td>\n",
       "      <td>V* VX Per</td>\n",
       "      <td>31.952003</td>\n",
       "      <td>58.443539</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>158</td>\n",
       "      <td>02 07 48.48060</td>\n",
       "      <td>+58 26 36.7406</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-36.300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G2IV</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3298</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>-1.25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.470</td>\n",
       "      <td>9.370</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.024</td>\n",
       "      <td>6.520</td>\n",
       "      <td>6.291</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.019318</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>506779550797525760</td>\n",
       "      <td>10.877269</td>\n",
       "      <td>0.000237</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1678.549023</td>\n",
       "      <td>0.000335</td>\n",
       "      <td>1677.986762</td>\n",
       "      <td>0.000335</td>\n",
       "      <td>1678.833927</td>\n",
       "      <td>0.000335</td>\n",
       "      <td>8.836893</td>\n",
       "      <td>0.000494</td>\n",
       "      <td>9.575916</td>\n",
       "      <td>0.001435</td>\n",
       "      <td>8.041643</td>\n",
       "      <td>0.000344</td>\n",
       "      <td>0.550098</td>\n",
       "      <td>0.000618</td>\n",
       "      <td>0.911860</td>\n",
       "      <td>0.019143</td>\n",
       "      <td>0.499517</td>\n",
       "      <td>0.001517</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.044294</td>\n",
       "      <td>0.002833</td>\n",
       "      <td>0.194803</td>\n",
       "      <td>0.001905</td>\n",
       "      <td>5.888402</td>\n",
       "      <td>0.053252</td>\n",
       "      <td>4.602634</td>\n",
       "      <td>0.014115</td>\n",
       "      <td>35</td>\n",
       "      <td>31</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 506923449381427968</td>\n",
       "      <td>506923449381427968</td>\n",
       "      <td>1040304539</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>32.693215</td>\n",
       "      <td>0.019600</td>\n",
       "      <td>59.253694</td>\n",
       "      <td>0.023471</td>\n",
       "      <td>0.126665</td>\n",
       "      <td>0.033022</td>\n",
       "      <td>3.835750</td>\n",
       "      <td>-0.581531</td>\n",
       "      <td>0.061359</td>\n",
       "      <td>-0.200744</td>\n",
       "      <td>0.057266</td>\n",
       "      <td>-0.106831</td>\n",
       "      <td>0.092411</td>\n",
       "      <td>-0.073253</td>\n",
       "      <td>-0.277038</td>\n",
       "      <td>0.184033</td>\n",
       "      <td>-0.380577</td>\n",
       "      <td>-0.071529</td>\n",
       "      <td>-0.176271</td>\n",
       "      <td>0.132882</td>\n",
       "      <td>-0.280135</td>\n",
       "      <td>342</td>\n",
       "      <td>342</td>\n",
       "      <td>340</td>\n",
       "      <td>2</td>\n",
       "      <td>6.867665</td>\n",
       "      <td>545.13934</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>312.595580</td>\n",
       "      <td>1.424442</td>\n",
       "      <td>0.005005</td>\n",
       "      <td>-0.019172</td>\n",
       "      <td>39</td>\n",
       "      <td>13</td>\n",
       "      <td>0.046201</td>\n",
       "      <td>0</td>\n",
       "      <td>42</td>\n",
       "      <td>True</td>\n",
       "      <td>360</td>\n",
       "      <td>2.264620e+05</td>\n",
       "      <td>2.063008e+03</td>\n",
       "      <td>109.772705</td>\n",
       "      <td>12.300878</td>\n",
       "      <td>35</td>\n",
       "      <td>7.221514e+04</td>\n",
       "      <td>2.252418e+03</td>\n",
       "      <td>32.061160</td>\n",
       "      <td>13.204818</td>\n",
       "      <td>38</td>\n",
       "      <td>2.239172e+05</td>\n",
       "      <td>5.608775e+03</td>\n",
       "      <td>39.922650</td>\n",
       "      <td>11.386702</td>\n",
       "      <td>1.307647</td>\n",
       "      <td>0</td>\n",
       "      <td>1.818116</td>\n",
       "      <td>0.903940</td>\n",
       "      <td>0.914176</td>\n",
       "      <td>-57.468940</td>\n",
       "      <td>3.498033</td>\n",
       "      <td>22</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>132.927488</td>\n",
       "      <td>-2.069701</td>\n",
       "      <td>54.139313</td>\n",
       "      <td>42.740422</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4091.4200</td>\n",
       "      <td>3965.3900</td>\n",
       "      <td>4207.4370</td>\n",
       "      <td>0.7230</td>\n",
       "      <td>0.3926</td>\n",
       "      <td>2.0890</td>\n",
       "      <td>0.3255</td>\n",
       "      <td>0.1784</td>\n",
       "      <td>1.0033</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>98</td>\n",
       "      <td>GL Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6029</td>\n",
       "      <td>9.778</td>\n",
       "      <td>9.432</td>\n",
       "      <td>9.216</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.42</td>\n",
       "      <td>0.07</td>\n",
       "      <td>11773</td>\n",
       "      <td>449</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>32.69317</td>\n",
       "      <td>59.25364</td>\n",
       "      <td>0.210276</td>\n",
       "      <td>V* GL Cas</td>\n",
       "      <td>32.693220</td>\n",
       "      <td>59.253695</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>21</td>\n",
       "      <td>02 10 46.37278</td>\n",
       "      <td>+59 15 13.3004</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-57.470</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1267</td>\n",
       "      <td>-0.58</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.030</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.906</td>\n",
       "      <td>9.482</td>\n",
       "      <td>9.261</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.009536</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>506923449381427968</td>\n",
       "      <td>4.007198</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1690.292794</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>1726.301179</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>1726.356540</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>12.236356</td>\n",
       "      <td>0.000126</td>\n",
       "      <td>13.072309</td>\n",
       "      <td>0.000520</td>\n",
       "      <td>11.347775</td>\n",
       "      <td>0.000300</td>\n",
       "      <td>0.562636</td>\n",
       "      <td>0.000444</td>\n",
       "      <td>0.670630</td>\n",
       "      <td>0.002002</td>\n",
       "      <td>0.436119</td>\n",
       "      <td>0.001009</td>\n",
       "      <td>0.041252</td>\n",
       "      <td>0.224972</td>\n",
       "      <td>0.388334</td>\n",
       "      <td>0.000512</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.050343</td>\n",
       "      <td>0.001754</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>39</td>\n",
       "      <td>37</td>\n",
       "      <td>36</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>76</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 508915489570374272</td>\n",
       "      <td>508915489570374272</td>\n",
       "      <td>1354006357</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>24.308408</td>\n",
       "      <td>0.019152</td>\n",
       "      <td>57.759216</td>\n",
       "      <td>0.035252</td>\n",
       "      <td>0.345538</td>\n",
       "      <td>0.038509</td>\n",
       "      <td>8.972997</td>\n",
       "      <td>-0.846561</td>\n",
       "      <td>0.059510</td>\n",
       "      <td>-0.902415</td>\n",
       "      <td>0.093652</td>\n",
       "      <td>-0.083459</td>\n",
       "      <td>0.091922</td>\n",
       "      <td>-0.067804</td>\n",
       "      <td>-0.104677</td>\n",
       "      <td>-0.188615</td>\n",
       "      <td>-0.168122</td>\n",
       "      <td>-0.659557</td>\n",
       "      <td>0.271429</td>\n",
       "      <td>0.086380</td>\n",
       "      <td>-0.058789</td>\n",
       "      <td>348</td>\n",
       "      <td>348</td>\n",
       "      <td>343</td>\n",
       "      <td>5</td>\n",
       "      <td>3.990591</td>\n",
       "      <td>451.92440</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>242.208330</td>\n",
       "      <td>1.462480</td>\n",
       "      <td>0.005562</td>\n",
       "      <td>0.037833</td>\n",
       "      <td>40</td>\n",
       "      <td>14</td>\n",
       "      <td>0.063329</td>\n",
       "      <td>0</td>\n",
       "      <td>45</td>\n",
       "      <td>True</td>\n",
       "      <td>374</td>\n",
       "      <td>4.755460e+06</td>\n",
       "      <td>4.128824e+04</td>\n",
       "      <td>115.177120</td>\n",
       "      <td>8.995384</td>\n",
       "      <td>42</td>\n",
       "      <td>1.766928e+06</td>\n",
       "      <td>6.930584e+04</td>\n",
       "      <td>25.494646</td>\n",
       "      <td>9.733341</td>\n",
       "      <td>41</td>\n",
       "      <td>4.429191e+06</td>\n",
       "      <td>1.007128e+05</td>\n",
       "      <td>43.978447</td>\n",
       "      <td>8.146109</td>\n",
       "      <td>1.302948</td>\n",
       "      <td>0</td>\n",
       "      <td>1.587233</td>\n",
       "      <td>0.737957</td>\n",
       "      <td>0.849276</td>\n",
       "      <td>-55.705959</td>\n",
       "      <td>6.173008</td>\n",
       "      <td>9</td>\n",
       "      <td>4500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>129.029963</td>\n",
       "      <td>-4.569301</td>\n",
       "      <td>47.892655</td>\n",
       "      <td>43.524515</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4393.0700</td>\n",
       "      <td>4289.6665</td>\n",
       "      <td>4606.8896</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>79.355675</td>\n",
       "      <td>72.160340</td>\n",
       "      <td>83.227554</td>\n",
       "      <td>2113.115000</td>\n",
       "      <td>1764.40870</td>\n",
       "      <td>2461.821300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>111</td>\n",
       "      <td>RW Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1701</td>\n",
       "      <td>6.829</td>\n",
       "      <td>6.366</td>\n",
       "      <td>6.175</td>\n",
       "      <td>0.22</td>\n",
       "      <td>0.28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.21</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9914</td>\n",
       "      <td>444</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>24.30842</td>\n",
       "      <td>57.75921</td>\n",
       "      <td>0.032597</td>\n",
       "      <td>V* RW Cas</td>\n",
       "      <td>24.308414</td>\n",
       "      <td>57.759220</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>133</td>\n",
       "      <td>01 37 14.01944</td>\n",
       "      <td>+57 45 33.1921</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-71.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G2</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3455</td>\n",
       "      <td>-0.85</td>\n",
       "      <td>-0.90</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.440</td>\n",
       "      <td>8.580</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.682</td>\n",
       "      <td>6.388</td>\n",
       "      <td>6.203</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.019179</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>508915489570374272</td>\n",
       "      <td>14.792373</td>\n",
       "      <td>0.000176</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1695.127992</td>\n",
       "      <td>0.000249</td>\n",
       "      <td>1797.435621</td>\n",
       "      <td>0.000249</td>\n",
       "      <td>1798.908097</td>\n",
       "      <td>0.000249</td>\n",
       "      <td>8.807421</td>\n",
       "      <td>0.000172</td>\n",
       "      <td>9.077153</td>\n",
       "      <td>0.006917</td>\n",
       "      <td>8.009264</td>\n",
       "      <td>0.000276</td>\n",
       "      <td>0.661080</td>\n",
       "      <td>0.000427</td>\n",
       "      <td>2.523419</td>\n",
       "      <td>0.015017</td>\n",
       "      <td>0.555384</td>\n",
       "      <td>0.000707</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>39</td>\n",
       "      <td>35</td>\n",
       "      <td>36</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>77</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 510584788742165760</td>\n",
       "      <td>510584788742165760</td>\n",
       "      <td>1595962494</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>19.005018</td>\n",
       "      <td>0.025961</td>\n",
       "      <td>61.620705</td>\n",
       "      <td>0.029314</td>\n",
       "      <td>0.328963</td>\n",
       "      <td>0.043585</td>\n",
       "      <td>7.547652</td>\n",
       "      <td>-0.202369</td>\n",
       "      <td>0.048357</td>\n",
       "      <td>-0.747591</td>\n",
       "      <td>0.055318</td>\n",
       "      <td>-0.271994</td>\n",
       "      <td>0.169645</td>\n",
       "      <td>-0.393495</td>\n",
       "      <td>0.154927</td>\n",
       "      <td>-0.088336</td>\n",
       "      <td>0.077797</td>\n",
       "      <td>-0.231589</td>\n",
       "      <td>-0.246978</td>\n",
       "      <td>0.382584</td>\n",
       "      <td>-0.492519</td>\n",
       "      <td>362</td>\n",
       "      <td>362</td>\n",
       "      <td>335</td>\n",
       "      <td>27</td>\n",
       "      <td>21.883677</td>\n",
       "      <td>1270.26180</td>\n",
       "      <td>0.106138</td>\n",
       "      <td>5.254384e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>64.210396</td>\n",
       "      <td>1.397890</td>\n",
       "      <td>0.008575</td>\n",
       "      <td>-0.001579</td>\n",
       "      <td>41</td>\n",
       "      <td>16</td>\n",
       "      <td>0.041686</td>\n",
       "      <td>0</td>\n",
       "      <td>48</td>\n",
       "      <td>False</td>\n",
       "      <td>423</td>\n",
       "      <td>5.351387e+05</td>\n",
       "      <td>3.699742e+03</td>\n",
       "      <td>144.642150</td>\n",
       "      <td>11.367200</td>\n",
       "      <td>45</td>\n",
       "      <td>1.586876e+05</td>\n",
       "      <td>5.426309e+03</td>\n",
       "      <td>29.244122</td>\n",
       "      <td>12.350030</td>\n",
       "      <td>45</td>\n",
       "      <td>5.873231e+05</td>\n",
       "      <td>1.151982e+04</td>\n",
       "      <td>50.983692</td>\n",
       "      <td>10.339727</td>\n",
       "      <td>1.394051</td>\n",
       "      <td>0</td>\n",
       "      <td>2.010303</td>\n",
       "      <td>0.982830</td>\n",
       "      <td>1.027473</td>\n",
       "      <td>-57.592941</td>\n",
       "      <td>2.839454</td>\n",
       "      <td>14</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>125.849144</td>\n",
       "      <td>-1.111729</td>\n",
       "      <td>47.590204</td>\n",
       "      <td>48.214955</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3719.7500</td>\n",
       "      <td>3640.2500</td>\n",
       "      <td>3914.3076</td>\n",
       "      <td>0.9890</td>\n",
       "      <td>0.6313</td>\n",
       "      <td>1.2631</td>\n",
       "      <td>0.4720</td>\n",
       "      <td>0.2859</td>\n",
       "      <td>0.6826</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>47.773430</td>\n",
       "      <td>43.142372</td>\n",
       "      <td>49.882877</td>\n",
       "      <td>393.661160</td>\n",
       "      <td>319.23468</td>\n",
       "      <td>468.087650</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>77</td>\n",
       "      <td>AW Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6313</td>\n",
       "      <td>8.774</td>\n",
       "      <td>8.206</td>\n",
       "      <td>7.919</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.01</td>\n",
       "      <td>0.07</td>\n",
       "      <td>9637</td>\n",
       "      <td>445</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>19.00500</td>\n",
       "      <td>61.62069</td>\n",
       "      <td>0.063337</td>\n",
       "      <td>V* AW Cas</td>\n",
       "      <td>19.005020</td>\n",
       "      <td>61.620709</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>25</td>\n",
       "      <td>01 16 01.20480</td>\n",
       "      <td>+61 37 14.5508</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-57.590</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3290</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.520</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.967</td>\n",
       "      <td>8.341</td>\n",
       "      <td>8.036</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.012005</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>510584788742165760</td>\n",
       "      <td>4.277699</td>\n",
       "      <td>0.000016</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1689.456043</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>1689.348260</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>1689.412962</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>11.350581</td>\n",
       "      <td>0.000154</td>\n",
       "      <td>12.359395</td>\n",
       "      <td>0.000337</td>\n",
       "      <td>10.366210</td>\n",
       "      <td>0.000186</td>\n",
       "      <td>0.611639</td>\n",
       "      <td>0.000606</td>\n",
       "      <td>0.838402</td>\n",
       "      <td>0.002012</td>\n",
       "      <td>0.527525</td>\n",
       "      <td>0.001039</td>\n",
       "      <td>-0.045421</td>\n",
       "      <td>0.225000</td>\n",
       "      <td>0.413626</td>\n",
       "      <td>0.001164</td>\n",
       "      <td>0.178204</td>\n",
       "      <td>0.001112</td>\n",
       "      <td>4.480261</td>\n",
       "      <td>0.003141</td>\n",
       "      <td>2.584187</td>\n",
       "      <td>0.007091</td>\n",
       "      <td>46</td>\n",
       "      <td>45</td>\n",
       "      <td>45</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>78</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 511226491206912128</td>\n",
       "      <td>511226491206912128</td>\n",
       "      <td>909762255</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>26.799653</td>\n",
       "      <td>0.021876</td>\n",
       "      <td>61.422489</td>\n",
       "      <td>0.024513</td>\n",
       "      <td>0.480974</td>\n",
       "      <td>0.037106</td>\n",
       "      <td>12.962300</td>\n",
       "      <td>-1.213222</td>\n",
       "      <td>0.039596</td>\n",
       "      <td>0.424136</td>\n",
       "      <td>0.051553</td>\n",
       "      <td>-0.464919</td>\n",
       "      <td>0.207432</td>\n",
       "      <td>-0.405660</td>\n",
       "      <td>0.236194</td>\n",
       "      <td>-0.193672</td>\n",
       "      <td>0.210349</td>\n",
       "      <td>-0.293485</td>\n",
       "      <td>-0.073720</td>\n",
       "      <td>0.144820</td>\n",
       "      <td>-0.592591</td>\n",
       "      <td>386</td>\n",
       "      <td>386</td>\n",
       "      <td>382</td>\n",
       "      <td>4</td>\n",
       "      <td>4.457467</td>\n",
       "      <td>512.30334</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>264.231260</td>\n",
       "      <td>1.445636</td>\n",
       "      <td>0.005681</td>\n",
       "      <td>-0.032433</td>\n",
       "      <td>44</td>\n",
       "      <td>20</td>\n",
       "      <td>0.039535</td>\n",
       "      <td>0</td>\n",
       "      <td>50</td>\n",
       "      <td>True</td>\n",
       "      <td>434</td>\n",
       "      <td>2.111232e+06</td>\n",
       "      <td>8.326357e+03</td>\n",
       "      <td>253.560090</td>\n",
       "      <td>9.877026</td>\n",
       "      <td>49</td>\n",
       "      <td>7.163769e+05</td>\n",
       "      <td>1.065301e+04</td>\n",
       "      <td>67.246420</td>\n",
       "      <td>10.713534</td>\n",
       "      <td>50</td>\n",
       "      <td>2.042128e+06</td>\n",
       "      <td>2.093441e+04</td>\n",
       "      <td>97.548874</td>\n",
       "      <td>8.986712</td>\n",
       "      <td>1.306585</td>\n",
       "      <td>0</td>\n",
       "      <td>1.726822</td>\n",
       "      <td>0.836509</td>\n",
       "      <td>0.890313</td>\n",
       "      <td>-51.278088</td>\n",
       "      <td>2.226636</td>\n",
       "      <td>13</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>129.549811</td>\n",
       "      <td>-0.730724</td>\n",
       "      <td>52.035560</td>\n",
       "      <td>46.047549</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4182.0000</td>\n",
       "      <td>3998.6250</td>\n",
       "      <td>4646.8650</td>\n",
       "      <td>0.6438</td>\n",
       "      <td>0.3880</td>\n",
       "      <td>1.6826</td>\n",
       "      <td>0.3160</td>\n",
       "      <td>0.1959</td>\n",
       "      <td>0.9097</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>44.213043</td>\n",
       "      <td>35.809505</td>\n",
       "      <td>48.361206</td>\n",
       "      <td>538.681000</td>\n",
       "      <td>476.49200</td>\n",
       "      <td>600.870060</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>82</td>\n",
       "      <td>BY Cas</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.5083</td>\n",
       "      <td>7.637</td>\n",
       "      <td>7.199</td>\n",
       "      <td>7.035</td>\n",
       "      <td>0.12</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.61</td>\n",
       "      <td>0.12</td>\n",
       "      <td>9420</td>\n",
       "      <td>453</td>\n",
       "      <td>c*</td>\n",
       "      <td>LIII</td>\n",
       "      <td>26.79967</td>\n",
       "      <td>61.42249</td>\n",
       "      <td>0.029864</td>\n",
       "      <td>V* BY Cas</td>\n",
       "      <td>26.799664</td>\n",
       "      <td>61.422487</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>108</td>\n",
       "      <td>01 47 11.91932</td>\n",
       "      <td>+61 25 20.9523</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |*  |IR |SB*|** |**</td>\n",
       "      <td>-58.700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4810</td>\n",
       "      <td>-1.21</td>\n",
       "      <td>0.42</td>\n",
       "      <td>0.0050</td>\n",
       "      <td>0.0</td>\n",
       "      <td>275.0</td>\n",
       "      <td>11.500</td>\n",
       "      <td>10.410</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.637</td>\n",
       "      <td>7.199</td>\n",
       "      <td>7.035</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.019921</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>511226491206912128</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.222838</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1727.933919</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>1727.900915</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>1727.958997</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>9.828949</td>\n",
       "      <td>0.000155</td>\n",
       "      <td>10.655452</td>\n",
       "      <td>0.000221</td>\n",
       "      <td>8.956087</td>\n",
       "      <td>0.000122</td>\n",
       "      <td>0.310566</td>\n",
       "      <td>0.000678</td>\n",
       "      <td>0.373078</td>\n",
       "      <td>0.000899</td>\n",
       "      <td>0.240234</td>\n",
       "      <td>0.001808</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.066712</td>\n",
       "      <td>0.001422</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.155515</td>\n",
       "      <td>0.017612</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>47</td>\n",
       "      <td>45</td>\n",
       "      <td>44</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>79</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 512524361613040640</td>\n",
       "      <td>512524361613040640</td>\n",
       "      <td>822013538</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>23.180099</td>\n",
       "      <td>0.022149</td>\n",
       "      <td>63.593805</td>\n",
       "      <td>0.024824</td>\n",
       "      <td>1.296313</td>\n",
       "      <td>0.031333</td>\n",
       "      <td>41.372078</td>\n",
       "      <td>-0.450178</td>\n",
       "      <td>0.038244</td>\n",
       "      <td>-0.141337</td>\n",
       "      <td>0.044545</td>\n",
       "      <td>-0.184351</td>\n",
       "      <td>0.019293</td>\n",
       "      <td>-0.509635</td>\n",
       "      <td>0.141597</td>\n",
       "      <td>0.082258</td>\n",
       "      <td>0.097719</td>\n",
       "      <td>-0.313466</td>\n",
       "      <td>-0.037247</td>\n",
       "      <td>0.160095</td>\n",
       "      <td>-0.373218</td>\n",
       "      <td>315</td>\n",
       "      <td>315</td>\n",
       "      <td>312</td>\n",
       "      <td>3</td>\n",
       "      <td>5.482324</td>\n",
       "      <td>462.99176</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>201.204010</td>\n",
       "      <td>1.434485</td>\n",
       "      <td>0.006488</td>\n",
       "      <td>-0.059505</td>\n",
       "      <td>36</td>\n",
       "      <td>17</td>\n",
       "      <td>0.035292</td>\n",
       "      <td>0</td>\n",
       "      <td>53</td>\n",
       "      <td>False</td>\n",
       "      <td>384</td>\n",
       "      <td>4.172717e+07</td>\n",
       "      <td>8.651976e+04</td>\n",
       "      <td>482.284850</td>\n",
       "      <td>6.637319</td>\n",
       "      <td>42</td>\n",
       "      <td>1.428233e+07</td>\n",
       "      <td>1.070301e+05</td>\n",
       "      <td>133.442150</td>\n",
       "      <td>7.464390</td>\n",
       "      <td>43</td>\n",
       "      <td>3.955145e+07</td>\n",
       "      <td>2.480120e+05</td>\n",
       "      <td>159.473970</td>\n",
       "      <td>5.769014</td>\n",
       "      <td>1.290137</td>\n",
       "      <td>0</td>\n",
       "      <td>1.695376</td>\n",
       "      <td>0.827072</td>\n",
       "      <td>0.868305</td>\n",
       "      <td>-23.954382</td>\n",
       "      <td>0.894923</td>\n",
       "      <td>24</td>\n",
       "      <td>4250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>127.502720</td>\n",
       "      <td>1.089017</td>\n",
       "      <td>51.657841</td>\n",
       "      <td>48.774519</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4113.2020</td>\n",
       "      <td>3962.8223</td>\n",
       "      <td>4265.5000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>76.916980</td>\n",
       "      <td>71.522450</td>\n",
       "      <td>82.865380</td>\n",
       "      <td>1525.665400</td>\n",
       "      <td>1467.33390</td>\n",
       "      <td>1583.997000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>130</td>\n",
       "      <td>V636 Cas</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.9231</td>\n",
       "      <td>4.899</td>\n",
       "      <td>4.158</td>\n",
       "      <td>4.059</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.13</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.83</td>\n",
       "      <td>0.29</td>\n",
       "      <td>8533</td>\n",
       "      <td>458</td>\n",
       "      <td>c*</td>\n",
       "      <td>LII</td>\n",
       "      <td>23.18011</td>\n",
       "      <td>63.59381</td>\n",
       "      <td>0.026283</td>\n",
       "      <td>V* V636 Cas</td>\n",
       "      <td>23.180103</td>\n",
       "      <td>63.593805</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>86</td>\n",
       "      <td>01 32 43.22477</td>\n",
       "      <td>+63 35 37.6989</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>-25.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.2963</td>\n",
       "      <td>-0.45</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.486</td>\n",
       "      <td>7.176</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.899</td>\n",
       "      <td>4.158</td>\n",
       "      <td>4.059</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.007314</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>512524361613040640</td>\n",
       "      <td>8.377013</td>\n",
       "      <td>0.000123</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1676.941563</td>\n",
       "      <td>0.000173</td>\n",
       "      <td>1676.814163</td>\n",
       "      <td>0.000173</td>\n",
       "      <td>1676.864994</td>\n",
       "      <td>0.000173</td>\n",
       "      <td>6.635920</td>\n",
       "      <td>0.000069</td>\n",
       "      <td>7.463003</td>\n",
       "      <td>0.000277</td>\n",
       "      <td>5.777991</td>\n",
       "      <td>0.000230</td>\n",
       "      <td>0.143152</td>\n",
       "      <td>0.000297</td>\n",
       "      <td>0.171468</td>\n",
       "      <td>0.001303</td>\n",
       "      <td>0.102838</td>\n",
       "      <td>0.001082</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.090106</td>\n",
       "      <td>0.002669</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.227010</td>\n",
       "      <td>0.023783</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>40</td>\n",
       "      <td>36</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 513074186146353536</td>\n",
       "      <td>513074186146353536</td>\n",
       "      <td>1572340033</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>24.749938</td>\n",
       "      <td>0.025300</td>\n",
       "      <td>64.989238</td>\n",
       "      <td>0.023366</td>\n",
       "      <td>0.279642</td>\n",
       "      <td>0.034435</td>\n",
       "      <td>8.120739</td>\n",
       "      <td>-0.591329</td>\n",
       "      <td>0.046995</td>\n",
       "      <td>-0.584965</td>\n",
       "      <td>0.046276</td>\n",
       "      <td>-0.292461</td>\n",
       "      <td>-0.024715</td>\n",
       "      <td>-0.466099</td>\n",
       "      <td>0.160560</td>\n",
       "      <td>0.009062</td>\n",
       "      <td>0.153528</td>\n",
       "      <td>-0.357079</td>\n",
       "      <td>-0.023895</td>\n",
       "      <td>0.292998</td>\n",
       "      <td>-0.472541</td>\n",
       "      <td>304</td>\n",
       "      <td>304</td>\n",
       "      <td>293</td>\n",
       "      <td>11</td>\n",
       "      <td>15.767091</td>\n",
       "      <td>854.96230</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>361.667360</td>\n",
       "      <td>1.425015</td>\n",
       "      <td>0.007220</td>\n",
       "      <td>-0.038953</td>\n",
       "      <td>35</td>\n",
       "      <td>15</td>\n",
       "      <td>0.039440</td>\n",
       "      <td>0</td>\n",
       "      <td>45</td>\n",
       "      <td>False</td>\n",
       "      <td>358</td>\n",
       "      <td>6.669563e+05</td>\n",
       "      <td>3.697817e+03</td>\n",
       "      <td>180.364850</td>\n",
       "      <td>11.128122</td>\n",
       "      <td>36</td>\n",
       "      <td>2.175550e+05</td>\n",
       "      <td>4.084384e+03</td>\n",
       "      <td>53.265076</td>\n",
       "      <td>12.007465</td>\n",
       "      <td>35</td>\n",
       "      <td>6.458857e+05</td>\n",
       "      <td>9.595097e+03</td>\n",
       "      <td>67.314130</td>\n",
       "      <td>10.236531</td>\n",
       "      <td>1.294599</td>\n",
       "      <td>0</td>\n",
       "      <td>1.770934</td>\n",
       "      <td>0.879343</td>\n",
       "      <td>0.891591</td>\n",
       "      <td>-18.513572</td>\n",
       "      <td>5.393438</td>\n",
       "      <td>8</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>127.934482</td>\n",
       "      <td>2.580464</td>\n",
       "      <td>53.709769</td>\n",
       "      <td>49.555981</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4072.4900</td>\n",
       "      <td>4012.9133</td>\n",
       "      <td>4167.7450</td>\n",
       "      <td>0.7525</td>\n",
       "      <td>0.3154</td>\n",
       "      <td>2.6051</td>\n",
       "      <td>0.3220</td>\n",
       "      <td>0.1232</td>\n",
       "      <td>1.3113</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>46.564410</td>\n",
       "      <td>44.460247</td>\n",
       "      <td>47.957287</td>\n",
       "      <td>537.332460</td>\n",
       "      <td>435.97034</td>\n",
       "      <td>638.694600</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>78</td>\n",
       "      <td>AY Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.4581</td>\n",
       "      <td>9.055</td>\n",
       "      <td>8.545</td>\n",
       "      <td>8.315</td>\n",
       "      <td>0.02</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.90</td>\n",
       "      <td>0.07</td>\n",
       "      <td>9602</td>\n",
       "      <td>446</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>24.74997</td>\n",
       "      <td>64.98927</td>\n",
       "      <td>0.126091</td>\n",
       "      <td>V* AY Cas</td>\n",
       "      <td>24.749944</td>\n",
       "      <td>64.989240</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>33</td>\n",
       "      <td>01 38 59.98664</td>\n",
       "      <td>+64 59 21.2646</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-18.510</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2796</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.370</td>\n",
       "      <td>11.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.979</td>\n",
       "      <td>8.538</td>\n",
       "      <td>8.319</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.012893</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>513074186146353536</td>\n",
       "      <td>2.871507</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1692.585309</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>1730.059893</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>1730.042316</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>11.006227</td>\n",
       "      <td>0.000160</td>\n",
       "      <td>11.840128</td>\n",
       "      <td>0.000309</td>\n",
       "      <td>10.141650</td>\n",
       "      <td>0.000169</td>\n",
       "      <td>0.518358</td>\n",
       "      <td>0.000879</td>\n",
       "      <td>0.669955</td>\n",
       "      <td>0.001649</td>\n",
       "      <td>0.437523</td>\n",
       "      <td>0.000905</td>\n",
       "      <td>0.015125</td>\n",
       "      <td>0.219846</td>\n",
       "      <td>0.388227</td>\n",
       "      <td>0.002236</td>\n",
       "      <td>0.204689</td>\n",
       "      <td>0.001544</td>\n",
       "      <td>4.483254</td>\n",
       "      <td>0.005016</td>\n",
       "      <td>1.956557</td>\n",
       "      <td>0.006502</td>\n",
       "      <td>42</td>\n",
       "      <td>38</td>\n",
       "      <td>36</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>81</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 514674933331699584</td>\n",
       "      <td>514674933331699584</td>\n",
       "      <td>1087753859</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>32.621536</td>\n",
       "      <td>0.036564</td>\n",
       "      <td>63.297534</td>\n",
       "      <td>0.038775</td>\n",
       "      <td>0.246914</td>\n",
       "      <td>0.067604</td>\n",
       "      <td>3.652347</td>\n",
       "      <td>-1.299330</td>\n",
       "      <td>0.063505</td>\n",
       "      <td>0.676827</td>\n",
       "      <td>0.084691</td>\n",
       "      <td>-0.376790</td>\n",
       "      <td>0.387492</td>\n",
       "      <td>-0.239795</td>\n",
       "      <td>0.187739</td>\n",
       "      <td>-0.174183</td>\n",
       "      <td>0.117719</td>\n",
       "      <td>-0.016865</td>\n",
       "      <td>0.123996</td>\n",
       "      <td>-0.084607</td>\n",
       "      <td>-0.591132</td>\n",
       "      <td>175</td>\n",
       "      <td>175</td>\n",
       "      <td>175</td>\n",
       "      <td>0</td>\n",
       "      <td>1.669751</td>\n",
       "      <td>201.93614</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>231.227460</td>\n",
       "      <td>1.482177</td>\n",
       "      <td>0.009367</td>\n",
       "      <td>-0.135828</td>\n",
       "      <td>21</td>\n",
       "      <td>12</td>\n",
       "      <td>0.054148</td>\n",
       "      <td>0</td>\n",
       "      <td>25</td>\n",
       "      <td>True</td>\n",
       "      <td>206</td>\n",
       "      <td>1.375231e+06</td>\n",
       "      <td>1.220641e+04</td>\n",
       "      <td>112.664610</td>\n",
       "      <td>10.342426</td>\n",
       "      <td>22</td>\n",
       "      <td>5.042934e+05</td>\n",
       "      <td>1.514251e+04</td>\n",
       "      <td>33.303150</td>\n",
       "      <td>11.094680</td>\n",
       "      <td>24</td>\n",
       "      <td>1.229599e+06</td>\n",
       "      <td>2.752486e+04</td>\n",
       "      <td>44.672306</td>\n",
       "      <td>9.537512</td>\n",
       "      <td>1.260801</td>\n",
       "      <td>0</td>\n",
       "      <td>1.557168</td>\n",
       "      <td>0.752254</td>\n",
       "      <td>0.804915</td>\n",
       "      <td>-47.477435</td>\n",
       "      <td>5.486878</td>\n",
       "      <td>7</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>131.675194</td>\n",
       "      <td>1.775580</td>\n",
       "      <td>56.765653</td>\n",
       "      <td>46.325606</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4275.9500</td>\n",
       "      <td>4198.6797</td>\n",
       "      <td>4780.0337</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>127</td>\n",
       "      <td>V395 Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6061</td>\n",
       "      <td>8.446</td>\n",
       "      <td>8.001</td>\n",
       "      <td>7.874</td>\n",
       "      <td>0.02</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.06</td>\n",
       "      <td>0.07</td>\n",
       "      <td>9849</td>\n",
       "      <td>447</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>32.62152</td>\n",
       "      <td>63.29753</td>\n",
       "      <td>0.030439</td>\n",
       "      <td>V* V395 Cas</td>\n",
       "      <td>32.621549</td>\n",
       "      <td>63.297531</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>21</td>\n",
       "      <td>02 10 29.17168</td>\n",
       "      <td>+63 17 51.1129</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-47.480</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2469</td>\n",
       "      <td>-1.30</td>\n",
       "      <td>0.68</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.540</td>\n",
       "      <td>10.590</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.404</td>\n",
       "      <td>8.012</td>\n",
       "      <td>7.893</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.022708</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>514674933331699584</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.037895</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1691.880787</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>1691.848634</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>1728.087621</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>10.273580</td>\n",
       "      <td>0.000338</td>\n",
       "      <td>10.959012</td>\n",
       "      <td>0.001275</td>\n",
       "      <td>9.491884</td>\n",
       "      <td>0.002212</td>\n",
       "      <td>0.417685</td>\n",
       "      <td>0.000610</td>\n",
       "      <td>0.542959</td>\n",
       "      <td>0.001886</td>\n",
       "      <td>0.365068</td>\n",
       "      <td>0.002236</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.227236</td>\n",
       "      <td>0.001133</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.313548</td>\n",
       "      <td>0.004665</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>22</td>\n",
       "      <td>21</td>\n",
       "      <td>19</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>82</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 515599111517099136</td>\n",
       "      <td>515599111517099136</td>\n",
       "      <td>334520593</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>33.603151</td>\n",
       "      <td>0.017990</td>\n",
       "      <td>65.599448</td>\n",
       "      <td>0.020598</td>\n",
       "      <td>0.121545</td>\n",
       "      <td>0.027064</td>\n",
       "      <td>4.490947</td>\n",
       "      <td>-0.835826</td>\n",
       "      <td>0.031614</td>\n",
       "      <td>0.167295</td>\n",
       "      <td>0.041568</td>\n",
       "      <td>-0.248233</td>\n",
       "      <td>0.068826</td>\n",
       "      <td>-0.374194</td>\n",
       "      <td>0.186718</td>\n",
       "      <td>-0.119104</td>\n",
       "      <td>0.158052</td>\n",
       "      <td>-0.300294</td>\n",
       "      <td>0.046688</td>\n",
       "      <td>0.171012</td>\n",
       "      <td>-0.346255</td>\n",
       "      <td>366</td>\n",
       "      <td>366</td>\n",
       "      <td>344</td>\n",
       "      <td>22</td>\n",
       "      <td>4.958615</td>\n",
       "      <td>484.35397</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.027615e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>373.022520</td>\n",
       "      <td>1.438367</td>\n",
       "      <td>0.005345</td>\n",
       "      <td>0.021638</td>\n",
       "      <td>42</td>\n",
       "      <td>19</td>\n",
       "      <td>0.033105</td>\n",
       "      <td>0</td>\n",
       "      <td>44</td>\n",
       "      <td>False</td>\n",
       "      <td>376</td>\n",
       "      <td>3.223280e+05</td>\n",
       "      <td>3.087696e+03</td>\n",
       "      <td>104.391090</td>\n",
       "      <td>11.917621</td>\n",
       "      <td>39</td>\n",
       "      <td>1.131649e+05</td>\n",
       "      <td>4.129045e+03</td>\n",
       "      <td>27.407032</td>\n",
       "      <td>12.717109</td>\n",
       "      <td>38</td>\n",
       "      <td>3.213180e+05</td>\n",
       "      <td>7.813175e+03</td>\n",
       "      <td>41.125153</td>\n",
       "      <td>10.994582</td>\n",
       "      <td>1.347953</td>\n",
       "      <td>0</td>\n",
       "      <td>1.722527</td>\n",
       "      <td>0.799488</td>\n",
       "      <td>0.923038</td>\n",
       "      <td>-44.190607</td>\n",
       "      <td>4.430108</td>\n",
       "      <td>20</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>131.367323</td>\n",
       "      <td>4.095753</td>\n",
       "      <td>58.972209</td>\n",
       "      <td>48.123692</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4181.5000</td>\n",
       "      <td>4005.1875</td>\n",
       "      <td>4345.3623</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>119</td>\n",
       "      <td>V1017 Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6665</td>\n",
       "      <td>9.766</td>\n",
       "      <td>9.289</td>\n",
       "      <td>9.100</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.43</td>\n",
       "      <td>0.06</td>\n",
       "      <td>11725</td>\n",
       "      <td>447</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>33.60319</td>\n",
       "      <td>65.59946</td>\n",
       "      <td>0.073570</td>\n",
       "      <td>V* V1017 Cas</td>\n",
       "      <td>33.603159</td>\n",
       "      <td>65.599447</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>8</td>\n",
       "      <td>02 14 24.75821</td>\n",
       "      <td>+65 35 58.0091</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>*  |V* |cC*|IR</td>\n",
       "      <td>-44.190</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1215</td>\n",
       "      <td>-0.84</td>\n",
       "      <td>0.17</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.818</td>\n",
       "      <td>9.297</td>\n",
       "      <td>9.107</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.013212</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>515599111517099136</td>\n",
       "      <td>5.029424</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1687.211065</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>1687.085551</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>1687.171143</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>11.901016</td>\n",
       "      <td>0.000089</td>\n",
       "      <td>12.754053</td>\n",
       "      <td>0.000339</td>\n",
       "      <td>11.011699</td>\n",
       "      <td>0.000170</td>\n",
       "      <td>0.722877</td>\n",
       "      <td>0.000608</td>\n",
       "      <td>1.102338</td>\n",
       "      <td>0.002008</td>\n",
       "      <td>0.628967</td>\n",
       "      <td>0.000939</td>\n",
       "      <td>-0.372433</td>\n",
       "      <td>0.233768</td>\n",
       "      <td>0.517818</td>\n",
       "      <td>0.000729</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.350624</td>\n",
       "      <td>0.001971</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>41</td>\n",
       "      <td>35</td>\n",
       "      <td>36</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>83</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 522468168674975616</td>\n",
       "      <td>522468168674975616</td>\n",
       "      <td>638719710</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>18.171504</td>\n",
       "      <td>0.020135</td>\n",
       "      <td>61.213353</td>\n",
       "      <td>0.023385</td>\n",
       "      <td>0.148580</td>\n",
       "      <td>0.029586</td>\n",
       "      <td>5.021909</td>\n",
       "      <td>-1.971377</td>\n",
       "      <td>0.036436</td>\n",
       "      <td>-0.993366</td>\n",
       "      <td>0.041825</td>\n",
       "      <td>-0.150101</td>\n",
       "      <td>0.147068</td>\n",
       "      <td>-0.487842</td>\n",
       "      <td>0.127964</td>\n",
       "      <td>-0.094636</td>\n",
       "      <td>0.105368</td>\n",
       "      <td>-0.518456</td>\n",
       "      <td>-0.083458</td>\n",
       "      <td>0.241697</td>\n",
       "      <td>-0.380134</td>\n",
       "      <td>372</td>\n",
       "      <td>372</td>\n",
       "      <td>351</td>\n",
       "      <td>21</td>\n",
       "      <td>11.776431</td>\n",
       "      <td>756.32020</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>379.213960</td>\n",
       "      <td>1.483897</td>\n",
       "      <td>0.006053</td>\n",
       "      <td>0.028416</td>\n",
       "      <td>42</td>\n",
       "      <td>17</td>\n",
       "      <td>0.034770</td>\n",
       "      <td>0</td>\n",
       "      <td>49</td>\n",
       "      <td>False</td>\n",
       "      <td>432</td>\n",
       "      <td>6.829854e+05</td>\n",
       "      <td>6.327630e+03</td>\n",
       "      <td>107.937010</td>\n",
       "      <td>11.102337</td>\n",
       "      <td>48</td>\n",
       "      <td>2.741408e+05</td>\n",
       "      <td>1.144153e+04</td>\n",
       "      <td>23.960148</td>\n",
       "      <td>11.756454</td>\n",
       "      <td>47</td>\n",
       "      <td>6.339150e+05</td>\n",
       "      <td>1.672836e+04</td>\n",
       "      <td>37.894630</td>\n",
       "      <td>10.256843</td>\n",
       "      <td>1.329539</td>\n",
       "      <td>0</td>\n",
       "      <td>1.499611</td>\n",
       "      <td>0.654117</td>\n",
       "      <td>0.845494</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>125.488046</td>\n",
       "      <td>-1.552897</td>\n",
       "      <td>46.751890</td>\n",
       "      <td>48.104298</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4414.0900</td>\n",
       "      <td>4320.0000</td>\n",
       "      <td>4618.0650</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>118</td>\n",
       "      <td>UZ Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6294</td>\n",
       "      <td>9.155</td>\n",
       "      <td>8.679</td>\n",
       "      <td>8.522</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.75</td>\n",
       "      <td>0.06</td>\n",
       "      <td>10408</td>\n",
       "      <td>442</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>18.17152</td>\n",
       "      <td>61.21335</td>\n",
       "      <td>0.029421</td>\n",
       "      <td>V* UZ Cas</td>\n",
       "      <td>18.171522</td>\n",
       "      <td>61.213357</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>59</td>\n",
       "      <td>01 12 41.16528</td>\n",
       "      <td>+61 12 48.0869</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |IR |V*</td>\n",
       "      <td>-51.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G2</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1486</td>\n",
       "      <td>-1.97</td>\n",
       "      <td>-0.99</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.150</td>\n",
       "      <td>11.450</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.288</td>\n",
       "      <td>8.789</td>\n",
       "      <td>8.625</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.034216</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>522468168674975616</td>\n",
       "      <td>4.259253</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1689.554346</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>1689.524731</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>1689.588962</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>10.963006</td>\n",
       "      <td>0.000280</td>\n",
       "      <td>11.636678</td>\n",
       "      <td>0.000268</td>\n",
       "      <td>10.185787</td>\n",
       "      <td>0.000139</td>\n",
       "      <td>0.645577</td>\n",
       "      <td>0.000934</td>\n",
       "      <td>0.820095</td>\n",
       "      <td>0.000769</td>\n",
       "      <td>0.520905</td>\n",
       "      <td>0.000492</td>\n",
       "      <td>0.033678</td>\n",
       "      <td>0.225009</td>\n",
       "      <td>0.390544</td>\n",
       "      <td>0.001203</td>\n",
       "      <td>0.169714</td>\n",
       "      <td>0.001304</td>\n",
       "      <td>4.433729</td>\n",
       "      <td>0.003438</td>\n",
       "      <td>2.802732</td>\n",
       "      <td>0.009013</td>\n",
       "      <td>49</td>\n",
       "      <td>47</td>\n",
       "      <td>47</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>84</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 523887951723531648</td>\n",
       "      <td>523887951723531648</td>\n",
       "      <td>1558436560</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>11.624541</td>\n",
       "      <td>0.024032</td>\n",
       "      <td>63.543273</td>\n",
       "      <td>0.025799</td>\n",
       "      <td>0.339567</td>\n",
       "      <td>0.034723</td>\n",
       "      <td>9.779359</td>\n",
       "      <td>-1.266208</td>\n",
       "      <td>0.051834</td>\n",
       "      <td>-0.774400</td>\n",
       "      <td>0.051368</td>\n",
       "      <td>-0.203411</td>\n",
       "      <td>0.080698</td>\n",
       "      <td>-0.295259</td>\n",
       "      <td>0.075490</td>\n",
       "      <td>0.035541</td>\n",
       "      <td>0.039725</td>\n",
       "      <td>-0.229568</td>\n",
       "      <td>-0.228528</td>\n",
       "      <td>0.249126</td>\n",
       "      <td>-0.294410</td>\n",
       "      <td>319</td>\n",
       "      <td>319</td>\n",
       "      <td>301</td>\n",
       "      <td>18</td>\n",
       "      <td>17.187988</td>\n",
       "      <td>940.62930</td>\n",
       "      <td>0.068706</td>\n",
       "      <td>1.957499e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>120.627580</td>\n",
       "      <td>1.393629</td>\n",
       "      <td>0.006761</td>\n",
       "      <td>-0.049169</td>\n",
       "      <td>36</td>\n",
       "      <td>19</td>\n",
       "      <td>0.040208</td>\n",
       "      <td>0</td>\n",
       "      <td>38</td>\n",
       "      <td>False</td>\n",
       "      <td>328</td>\n",
       "      <td>6.331133e+05</td>\n",
       "      <td>4.481883e+03</td>\n",
       "      <td>141.260560</td>\n",
       "      <td>11.184662</td>\n",
       "      <td>36</td>\n",
       "      <td>1.770592e+05</td>\n",
       "      <td>4.659404e+03</td>\n",
       "      <td>38.000400</td>\n",
       "      <td>12.231091</td>\n",
       "      <td>36</td>\n",
       "      <td>6.755783e+05</td>\n",
       "      <td>1.165398e+04</td>\n",
       "      <td>57.969772</td>\n",
       "      <td>10.187731</td>\n",
       "      <td>1.346738</td>\n",
       "      <td>0</td>\n",
       "      <td>2.043361</td>\n",
       "      <td>1.046430</td>\n",
       "      <td>0.996931</td>\n",
       "      <td>-61.339113</td>\n",
       "      <td>4.970079</td>\n",
       "      <td>9</td>\n",
       "      <td>5250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>122.381724</td>\n",
       "      <td>0.676800</td>\n",
       "      <td>45.137428</td>\n",
       "      <td>51.784183</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4044.0100</td>\n",
       "      <td>3990.4724</td>\n",
       "      <td>4295.7600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>38.234837</td>\n",
       "      <td>33.884705</td>\n",
       "      <td>39.267666</td>\n",
       "      <td>352.259000</td>\n",
       "      <td>297.19336</td>\n",
       "      <td>407.324650</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>107</td>\n",
       "      <td>OP Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7414</td>\n",
       "      <td>8.778</td>\n",
       "      <td>8.207</td>\n",
       "      <td>7.966</td>\n",
       "      <td>0.14</td>\n",
       "      <td>0.11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.45</td>\n",
       "      <td>0.07</td>\n",
       "      <td>9945</td>\n",
       "      <td>441</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>11.62463</td>\n",
       "      <td>63.54330</td>\n",
       "      <td>0.172453</td>\n",
       "      <td>V* OP Cas</td>\n",
       "      <td>11.624553</td>\n",
       "      <td>63.543276</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>26</td>\n",
       "      <td>00 46 29.89283</td>\n",
       "      <td>+63 32 35.7947</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |IR |V*</td>\n",
       "      <td>-61.340</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3396</td>\n",
       "      <td>-1.27</td>\n",
       "      <td>-0.77</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.780</td>\n",
       "      <td>11.910</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.617</td>\n",
       "      <td>8.053</td>\n",
       "      <td>7.815</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.023006</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>523887951723531648</td>\n",
       "      <td>5.512727</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1685.830370</td>\n",
       "      <td>0.000027</td>\n",
       "      <td>1685.939864</td>\n",
       "      <td>0.000027</td>\n",
       "      <td>1685.943635</td>\n",
       "      <td>0.000027</td>\n",
       "      <td>11.165693</td>\n",
       "      <td>0.000182</td>\n",
       "      <td>12.209770</td>\n",
       "      <td>0.000272</td>\n",
       "      <td>10.179747</td>\n",
       "      <td>0.000098</td>\n",
       "      <td>0.476939</td>\n",
       "      <td>0.000859</td>\n",
       "      <td>0.569625</td>\n",
       "      <td>0.001441</td>\n",
       "      <td>0.388786</td>\n",
       "      <td>0.000567</td>\n",
       "      <td>0.254718</td>\n",
       "      <td>0.233770</td>\n",
       "      <td>0.331974</td>\n",
       "      <td>0.000812</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.789643</td>\n",
       "      <td>0.003833</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>37</td>\n",
       "      <td>33</td>\n",
       "      <td>35</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>85</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 525136962570940160</td>\n",
       "      <td>525136962570940160</td>\n",
       "      <td>1225924631</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>18.754556</td>\n",
       "      <td>0.018490</td>\n",
       "      <td>65.599405</td>\n",
       "      <td>0.021748</td>\n",
       "      <td>0.373860</td>\n",
       "      <td>0.027643</td>\n",
       "      <td>13.524399</td>\n",
       "      <td>-0.465009</td>\n",
       "      <td>0.036166</td>\n",
       "      <td>0.092564</td>\n",
       "      <td>0.041500</td>\n",
       "      <td>-0.196529</td>\n",
       "      <td>0.124818</td>\n",
       "      <td>-0.320934</td>\n",
       "      <td>0.068745</td>\n",
       "      <td>-0.180540</td>\n",
       "      <td>0.049843</td>\n",
       "      <td>-0.332678</td>\n",
       "      <td>-0.115814</td>\n",
       "      <td>0.280032</td>\n",
       "      <td>-0.253928</td>\n",
       "      <td>354</td>\n",
       "      <td>354</td>\n",
       "      <td>345</td>\n",
       "      <td>9</td>\n",
       "      <td>12.662953</td>\n",
       "      <td>787.47784</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>303.500200</td>\n",
       "      <td>1.410006</td>\n",
       "      <td>0.005275</td>\n",
       "      <td>-0.001767</td>\n",
       "      <td>41</td>\n",
       "      <td>18</td>\n",
       "      <td>0.033071</td>\n",
       "      <td>0</td>\n",
       "      <td>43</td>\n",
       "      <td>True</td>\n",
       "      <td>362</td>\n",
       "      <td>1.464212e+06</td>\n",
       "      <td>1.104549e+04</td>\n",
       "      <td>132.562040</td>\n",
       "      <td>10.274356</td>\n",
       "      <td>40</td>\n",
       "      <td>4.133298e+05</td>\n",
       "      <td>1.206039e+04</td>\n",
       "      <td>34.271670</td>\n",
       "      <td>11.310646</td>\n",
       "      <td>39</td>\n",
       "      <td>1.534614e+06</td>\n",
       "      <td>3.288369e+04</td>\n",
       "      <td>46.667946</td>\n",
       "      <td>9.296922</td>\n",
       "      <td>1.330370</td>\n",
       "      <td>0</td>\n",
       "      <td>2.013724</td>\n",
       "      <td>1.036290</td>\n",
       "      <td>0.977434</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>125.366684</td>\n",
       "      <td>2.839189</td>\n",
       "      <td>51.060429</td>\n",
       "      <td>51.508306</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3792.4200</td>\n",
       "      <td>3518.0000</td>\n",
       "      <td>3978.4950</td>\n",
       "      <td>0.9250</td>\n",
       "      <td>0.5220</td>\n",
       "      <td>1.8531</td>\n",
       "      <td>0.4450</td>\n",
       "      <td>0.1866</td>\n",
       "      <td>1.0120</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>65.240310</td>\n",
       "      <td>59.280410</td>\n",
       "      <td>75.815360</td>\n",
       "      <td>793.217800</td>\n",
       "      <td>696.30920</td>\n",
       "      <td>890.126340</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>80</td>\n",
       "      <td>BP Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7975</td>\n",
       "      <td>7.842</td>\n",
       "      <td>7.275</td>\n",
       "      <td>7.042</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.06</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.72</td>\n",
       "      <td>0.07</td>\n",
       "      <td>9392</td>\n",
       "      <td>446</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>18.75455</td>\n",
       "      <td>65.59940</td>\n",
       "      <td>0.019028</td>\n",
       "      <td>V* BP Cas</td>\n",
       "      <td>18.754561</td>\n",
       "      <td>65.599404</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>59</td>\n",
       "      <td>01 15 01.09456</td>\n",
       "      <td>+65 35 57.8555</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |IR |V*</td>\n",
       "      <td>-41.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3739</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.900</td>\n",
       "      <td>10.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.766</td>\n",
       "      <td>7.268</td>\n",
       "      <td>7.045</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.007349</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>525136962570940160</td>\n",
       "      <td>6.272785</td>\n",
       "      <td>0.000061</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1683.447545</td>\n",
       "      <td>0.000087</td>\n",
       "      <td>1721.109541</td>\n",
       "      <td>0.000087</td>\n",
       "      <td>1721.224373</td>\n",
       "      <td>0.000087</td>\n",
       "      <td>10.233151</td>\n",
       "      <td>0.000233</td>\n",
       "      <td>11.242003</td>\n",
       "      <td>0.000648</td>\n",
       "      <td>9.283660</td>\n",
       "      <td>0.000369</td>\n",
       "      <td>0.558552</td>\n",
       "      <td>0.001159</td>\n",
       "      <td>0.826228</td>\n",
       "      <td>0.005073</td>\n",
       "      <td>0.559354</td>\n",
       "      <td>0.002201</td>\n",
       "      <td>0.161733</td>\n",
       "      <td>0.233823</td>\n",
       "      <td>0.359528</td>\n",
       "      <td>0.001743</td>\n",
       "      <td>0.131378</td>\n",
       "      <td>0.002126</td>\n",
       "      <td>4.844136</td>\n",
       "      <td>0.005537</td>\n",
       "      <td>2.975040</td>\n",
       "      <td>0.010791</td>\n",
       "      <td>35</td>\n",
       "      <td>27</td>\n",
       "      <td>27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>86</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1750217486861133440</td>\n",
       "      <td>1750217486861133440</td>\n",
       "      <td>53070142</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>313.520264</td>\n",
       "      <td>0.028259</td>\n",
       "      <td>8.551535</td>\n",
       "      <td>0.025789</td>\n",
       "      <td>0.140652</td>\n",
       "      <td>0.034036</td>\n",
       "      <td>4.132487</td>\n",
       "      <td>-6.032100</td>\n",
       "      <td>0.062784</td>\n",
       "      <td>-5.194741</td>\n",
       "      <td>0.059074</td>\n",
       "      <td>0.154380</td>\n",
       "      <td>0.259694</td>\n",
       "      <td>-0.245539</td>\n",
       "      <td>-0.164468</td>\n",
       "      <td>0.222254</td>\n",
       "      <td>-0.032646</td>\n",
       "      <td>-0.580086</td>\n",
       "      <td>-0.051018</td>\n",
       "      <td>-0.313097</td>\n",
       "      <td>-0.076916</td>\n",
       "      <td>199</td>\n",
       "      <td>199</td>\n",
       "      <td>197</td>\n",
       "      <td>2</td>\n",
       "      <td>5.783389</td>\n",
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       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>345.130400</td>\n",
       "      <td>1.633769</td>\n",
       "      <td>0.006818</td>\n",
       "      <td>-0.040973</td>\n",
       "      <td>23</td>\n",
       "      <td>10</td>\n",
       "      <td>0.043486</td>\n",
       "      <td>0</td>\n",
       "      <td>24</td>\n",
       "      <td>False</td>\n",
       "      <td>208</td>\n",
       "      <td>2.323505e+05</td>\n",
       "      <td>4.167386e+03</td>\n",
       "      <td>55.754486</td>\n",
       "      <td>12.273006</td>\n",
       "      <td>24</td>\n",
       "      <td>1.305769e+05</td>\n",
       "      <td>8.572430e+03</td>\n",
       "      <td>15.232197</td>\n",
       "      <td>12.561722</td>\n",
       "      <td>24</td>\n",
       "      <td>1.518536e+05</td>\n",
       "      <td>6.356415e+03</td>\n",
       "      <td>23.889814</td>\n",
       "      <td>11.808357</td>\n",
       "      <td>1.215537</td>\n",
       "      <td>0</td>\n",
       "      <td>0.753365</td>\n",
       "      <td>0.288715</td>\n",
       "      <td>0.464649</td>\n",
       "      <td>-165.238369</td>\n",
       "      <td>13.612693</td>\n",
       "      <td>4</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>-1.50</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>56.001027</td>\n",
       "      <td>-22.395839</td>\n",
       "      <td>318.675558</td>\n",
       "      <td>24.939572</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5787.3335</td>\n",
       "      <td>5491.4500</td>\n",
       "      <td>6308.5703</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>219</td>\n",
       "      <td>EK Del</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.3111</td>\n",
       "      <td>11.292</td>\n",
       "      <td>10.953</td>\n",
       "      <td>10.887</td>\n",
       "      <td>-1.54</td>\n",
       "      <td>-1.57</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.20</td>\n",
       "      <td>0.07</td>\n",
       "      <td>6867</td>\n",
       "      <td>292</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>313.52029</td>\n",
       "      <td>8.55153</td>\n",
       "      <td>0.094737</td>\n",
       "      <td>V* EK Del</td>\n",
       "      <td>313.520290</td>\n",
       "      <td>8.551557</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>24</td>\n",
       "      <td>20 54 04.86961</td>\n",
       "      <td>+08 33 05.6048</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |IR |*</td>\n",
       "      <td>-165.240</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1407</td>\n",
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       "      <td>-5.20</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.216</td>\n",
       "      <td>10.882</td>\n",
       "      <td>10.818</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.123390</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>1750217486861133440</td>\n",
       "      <td>2.046828</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1785.279592</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>1785.263547</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>1785.275804</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>12.187562</td>\n",
       "      <td>0.000140</td>\n",
       "      <td>12.461101</td>\n",
       "      <td>0.000348</td>\n",
       "      <td>11.752045</td>\n",
       "      <td>0.000323</td>\n",
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       "      <td>0.001147</td>\n",
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       "      <td>0.219741</td>\n",
       "      <td>0.450557</td>\n",
       "      <td>0.000724</td>\n",
       "      <td>0.181784</td>\n",
       "      <td>0.000808</td>\n",
       "      <td>4.605291</td>\n",
       "      <td>0.004726</td>\n",
       "      <td>3.228913</td>\n",
       "      <td>0.004890</td>\n",
       "      <td>24</td>\n",
       "      <td>24</td>\n",
       "      <td>24</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>87</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1808020329279916288</td>\n",
       "      <td>1808020329279916288</td>\n",
       "      <td>1195549303</td>\n",
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       "      <td>0.019486</td>\n",
       "      <td>0.228325</td>\n",
       "      <td>0.036178</td>\n",
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       "      <td>0.046761</td>\n",
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       "      <td>0.041015</td>\n",
       "      <td>0.157414</td>\n",
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       "      <td>0.174837</td>\n",
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       "      <td>-0.247976</td>\n",
       "      <td>-0.136583</td>\n",
       "      <td>0.148311</td>\n",
       "      <td>328</td>\n",
       "      <td>328</td>\n",
       "      <td>321</td>\n",
       "      <td>7</td>\n",
       "      <td>3.892433</td>\n",
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       "      <td>3.167760e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
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       "      <td>1.529769</td>\n",
       "      <td>0.006169</td>\n",
       "      <td>0.048375</td>\n",
       "      <td>38</td>\n",
       "      <td>13</td>\n",
       "      <td>0.032429</td>\n",
       "      <td>0</td>\n",
       "      <td>42</td>\n",
       "      <td>True</td>\n",
       "      <td>347</td>\n",
       "      <td>1.843081e+06</td>\n",
       "      <td>1.830091e+04</td>\n",
       "      <td>100.709816</td>\n",
       "      <td>10.024505</td>\n",
       "      <td>40</td>\n",
       "      <td>7.635837e+05</td>\n",
       "      <td>2.282576e+04</td>\n",
       "      <td>33.452710</td>\n",
       "      <td>10.644247</td>\n",
       "      <td>37</td>\n",
       "      <td>1.485098e+06</td>\n",
       "      <td>3.376452e+04</td>\n",
       "      <td>43.983970</td>\n",
       "      <td>9.332533</td>\n",
       "      <td>1.220066</td>\n",
       "      <td>0</td>\n",
       "      <td>1.311714</td>\n",
       "      <td>0.619742</td>\n",
       "      <td>0.691972</td>\n",
       "      <td>9.056696</td>\n",
       "      <td>5.639090</td>\n",
       "      <td>6</td>\n",
       "      <td>5250.0</td>\n",
       "      <td>4.5</td>\n",
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       "      <td>VARIABLE</td>\n",
       "      <td>55.087895</td>\n",
       "      <td>-7.605344</td>\n",
       "      <td>306.580836</td>\n",
       "      <td>35.475457</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4617.6665</td>\n",
       "      <td>4523.5000</td>\n",
       "      <td>4737.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>64.707430</td>\n",
       "      <td>61.488304</td>\n",
       "      <td>67.429530</td>\n",
       "      <td>1715.115100</td>\n",
       "      <td>1305.10200</td>\n",
       "      <td>2125.128200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>7</td>\n",
       "      <td>KL Aql</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7859</td>\n",
       "      <td>8.488</td>\n",
       "      <td>8.114</td>\n",
       "      <td>7.979</td>\n",
       "      <td>0.33</td>\n",
       "      <td>0.30</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>12.82</td>\n",
       "      <td>0.07</td>\n",
       "      <td>6573</td>\n",
       "      <td>403</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>300.29091</td>\n",
       "      <td>15.80352</td>\n",
       "      <td>0.069316</td>\n",
       "      <td>V* KL Aql</td>\n",
       "      <td>300.290911</td>\n",
       "      <td>15.803523</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>73</td>\n",
       "      <td>20 01 09.81869</td>\n",
       "      <td>+15 48 12.6835</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>1.300</td>\n",
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       "      <td>hF4mF7/8</td>\n",
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       "      <td>0.081545</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>1808020329279916288</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>1780.283888</td>\n",
       "      <td>0.000043</td>\n",
       "      <td>1780.455834</td>\n",
       "      <td>0.000043</td>\n",
       "      <td>1780.567532</td>\n",
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       "      <td>10.438491</td>\n",
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       "      <td>0.000419</td>\n",
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       "      <td>0.001008</td>\n",
       "      <td>4.544462</td>\n",
       "      <td>0.002284</td>\n",
       "      <td>2.976118</td>\n",
       "      <td>0.007110</td>\n",
       "      <td>39</td>\n",
       "      <td>35</td>\n",
       "      <td>35</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>88</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1820309639468685824</td>\n",
       "      <td>1820309639468685824</td>\n",
       "      <td>1003453313</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>299.005264</td>\n",
       "      <td>0.059145</td>\n",
       "      <td>16.634764</td>\n",
       "      <td>0.053185</td>\n",
       "      <td>0.642553</td>\n",
       "      <td>0.093156</td>\n",
       "      <td>6.897586</td>\n",
       "      <td>1.762927</td>\n",
       "      <td>0.121943</td>\n",
       "      <td>-5.428029</td>\n",
       "      <td>0.112663</td>\n",
       "      <td>0.161964</td>\n",
       "      <td>-0.050723</td>\n",
       "      <td>-0.339202</td>\n",
       "      <td>0.089409</td>\n",
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       "      <td>-0.133679</td>\n",
       "      <td>-0.233885</td>\n",
       "      <td>0.134065</td>\n",
       "      <td>388</td>\n",
       "      <td>388</td>\n",
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       "      <td>45</td>\n",
       "      <td>52.273006</td>\n",
       "      <td>4328.96300</td>\n",
       "      <td>0.356248</td>\n",
       "      <td>6.074376e+01</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>7.077116</td>\n",
       "      <td>1.600491</td>\n",
       "      <td>0.014615</td>\n",
       "      <td>0.014099</td>\n",
       "      <td>44</td>\n",
       "      <td>14</td>\n",
       "      <td>0.068717</td>\n",
       "      <td>0</td>\n",
       "      <td>56</td>\n",
       "      <td>False</td>\n",
       "      <td>431</td>\n",
       "      <td>9.725802e+07</td>\n",
       "      <td>1.980464e+06</td>\n",
       "      <td>49.108704</td>\n",
       "      <td>5.718552</td>\n",
       "      <td>41</td>\n",
       "      <td>5.501189e+07</td>\n",
       "      <td>1.331225e+06</td>\n",
       "      <td>41.324272</td>\n",
       "      <td>6.000246</td>\n",
       "      <td>44</td>\n",
       "      <td>8.711964e+07</td>\n",
       "      <td>7.898332e+05</td>\n",
       "      <td>110.301310</td>\n",
       "      <td>4.911630</td>\n",
       "      <td>1.461386</td>\n",
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       "      <td>0.806922</td>\n",
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       "      <td>3.978402</td>\n",
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       "      <td>VARIABLE</td>\n",
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       "      <td>305.350305</td>\n",
       "      <td>36.582089</td>\n",
       "      <td>102001.0</td>\n",
       "      <td>5076.0000</td>\n",
       "      <td>4450.4800</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>130.035680</td>\n",
       "      <td>102.381775</td>\n",
       "      <td>169.157800</td>\n",
       "      <td>10113.610000</td>\n",
       "      <td>8320.62600</td>\n",
       "      <td>11906.595000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>292</td>\n",
       "      <td>S Sge</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.9234</td>\n",
       "      <td>4.183</td>\n",
       "      <td>3.859</td>\n",
       "      <td>3.752</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.11</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7582</td>\n",
       "      <td>451</td>\n",
       "      <td>b</td>\n",
       "      <td>LII</td>\n",
       "      <td>299.00527</td>\n",
       "      <td>16.63480</td>\n",
       "      <td>0.129595</td>\n",
       "      <td>*  10 Sge</td>\n",
       "      <td>299.005256</td>\n",
       "      <td>16.634788</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>314</td>\n",
       "      <td>19 56 01.26143</td>\n",
       "      <td>+16 38 05.2363</td>\n",
       "      <td>PulsV*RVTau</td>\n",
       "      <td>RV*|V* |UV |IR |*  |SB*</td>\n",
       "      <td>-9.910</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.6426</td>\n",
       "      <td>1.76</td>\n",
       "      <td>-5.43</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.030</td>\n",
       "      <td>5.360</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.210</td>\n",
       "      <td>3.860</td>\n",
       "      <td>3.760</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.088461</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>1820309639468685824</td>\n",
       "      <td>8.386034</td>\n",
       "      <td>0.001020</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1773.005186</td>\n",
       "      <td>0.001442</td>\n",
       "      <td>1772.954452</td>\n",
       "      <td>0.001442</td>\n",
       "      <td>1773.301541</td>\n",
       "      <td>0.001442</td>\n",
       "      <td>5.388826</td>\n",
       "      <td>0.001844</td>\n",
       "      <td>5.875304</td>\n",
       "      <td>0.001326</td>\n",
       "      <td>4.854274</td>\n",
       "      <td>0.008080</td>\n",
       "      <td>0.630129</td>\n",
       "      <td>0.013969</td>\n",
       "      <td>0.782988</td>\n",
       "      <td>0.003673</td>\n",
       "      <td>0.437766</td>\n",
       "      <td>0.010924</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.248414</td>\n",
       "      <td>0.010141</td>\n",
       "      <td>0.098565</td>\n",
       "      <td>0.020920</td>\n",
       "      <td>5.029983</td>\n",
       "      <td>0.038440</td>\n",
       "      <td>3.413860</td>\n",
       "      <td>1.083511</td>\n",
       "      <td>25</td>\n",
       "      <td>25</td>\n",
       "      <td>24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>89</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1825621002188696448</td>\n",
       "      <td>1825621002188696448</td>\n",
       "      <td>1249075385</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>294.157205</td>\n",
       "      <td>0.024773</td>\n",
       "      <td>20.332932</td>\n",
       "      <td>0.032738</td>\n",
       "      <td>1.052989</td>\n",
       "      <td>0.038967</td>\n",
       "      <td>27.022390</td>\n",
       "      <td>0.905571</td>\n",
       "      <td>0.049711</td>\n",
       "      <td>-0.959876</td>\n",
       "      <td>0.061514</td>\n",
       "      <td>0.050201</td>\n",
       "      <td>0.114882</td>\n",
       "      <td>-0.560362</td>\n",
       "      <td>0.067653</td>\n",
       "      <td>0.037369</td>\n",
       "      <td>0.087804</td>\n",
       "      <td>-0.595210</td>\n",
       "      <td>-0.246220</td>\n",
       "      <td>-0.137321</td>\n",
       "      <td>-0.034933</td>\n",
       "      <td>293</td>\n",
       "      <td>293</td>\n",
       "      <td>289</td>\n",
       "      <td>4</td>\n",
       "      <td>5.024321</td>\n",
       "      <td>420.49435</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>209.571660</td>\n",
       "      <td>1.460111</td>\n",
       "      <td>0.007651</td>\n",
       "      <td>-0.007894</td>\n",
       "      <td>33</td>\n",
       "      <td>12</td>\n",
       "      <td>0.042987</td>\n",
       "      <td>0</td>\n",
       "      <td>50</td>\n",
       "      <td>False</td>\n",
       "      <td>363</td>\n",
       "      <td>3.970699e+07</td>\n",
       "      <td>3.398555e+05</td>\n",
       "      <td>116.834920</td>\n",
       "      <td>6.691198</td>\n",
       "      <td>36</td>\n",
       "      <td>1.205622e+07</td>\n",
       "      <td>3.556990e+05</td>\n",
       "      <td>33.894447</td>\n",
       "      <td>7.648360</td>\n",
       "      <td>40</td>\n",
       "      <td>3.825527e+07</td>\n",
       "      <td>8.524656e+05</td>\n",
       "      <td>44.876034</td>\n",
       "      <td>5.805192</td>\n",
       "      <td>1.267069</td>\n",
       "      <td>0</td>\n",
       "      <td>1.843169</td>\n",
       "      <td>0.957162</td>\n",
       "      <td>0.886007</td>\n",
       "      <td>-2.680865</td>\n",
       "      <td>2.522002</td>\n",
       "      <td>18</td>\n",
       "      <td>4500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>56.074313</td>\n",
       "      <td>-0.289236</td>\n",
       "      <td>300.682111</td>\n",
       "      <td>41.233456</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3975.0000</td>\n",
       "      <td>3879.3333</td>\n",
       "      <td>4152.5200</td>\n",
       "      <td>0.7280</td>\n",
       "      <td>0.3092</td>\n",
       "      <td>1.5840</td>\n",
       "      <td>0.3720</td>\n",
       "      <td>0.1723</td>\n",
       "      <td>0.8440</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>103.218420</td>\n",
       "      <td>94.581894</td>\n",
       "      <td>108.372055</td>\n",
       "      <td>2396.391000</td>\n",
       "      <td>2264.12840</td>\n",
       "      <td>2528.653800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>321</td>\n",
       "      <td>U Vul</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.9026</td>\n",
       "      <td>4.506</td>\n",
       "      <td>4.086</td>\n",
       "      <td>3.891</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.06</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7597</td>\n",
       "      <td>451</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>294.15720</td>\n",
       "      <td>20.33294</td>\n",
       "      <td>0.033360</td>\n",
       "      <td>V* U Vul</td>\n",
       "      <td>294.157200</td>\n",
       "      <td>20.332936</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>197</td>\n",
       "      <td>19 36 37.72809</td>\n",
       "      <td>+20 19 58.5692</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*  |SB*</td>\n",
       "      <td>-12.850</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8Iab</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.0530</td>\n",
       "      <td>0.91</td>\n",
       "      <td>-0.96</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.368</td>\n",
       "      <td>7.162</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.734</td>\n",
       "      <td>4.127</td>\n",
       "      <td>4.110</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.020454</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>1825621002188696448</td>\n",
       "      <td>7.990140</td>\n",
       "      <td>0.000068</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1744.158112</td>\n",
       "      <td>0.000097</td>\n",
       "      <td>1744.151339</td>\n",
       "      <td>0.000097</td>\n",
       "      <td>1744.245652</td>\n",
       "      <td>0.000097</td>\n",
       "      <td>6.576982</td>\n",
       "      <td>0.000194</td>\n",
       "      <td>7.406668</td>\n",
       "      <td>0.000569</td>\n",
       "      <td>5.716348</td>\n",
       "      <td>0.000572</td>\n",
       "      <td>0.541675</td>\n",
       "      <td>0.000960</td>\n",
       "      <td>0.717287</td>\n",
       "      <td>0.002625</td>\n",
       "      <td>0.461884</td>\n",
       "      <td>0.001245</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.249110</td>\n",
       "      <td>0.001873</td>\n",
       "      <td>0.152737</td>\n",
       "      <td>0.001437</td>\n",
       "      <td>5.058691</td>\n",
       "      <td>0.007933</td>\n",
       "      <td>3.256584</td>\n",
       "      <td>0.011875</td>\n",
       "      <td>39</td>\n",
       "      <td>37</td>\n",
       "      <td>37</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>90</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1853025642297186688</td>\n",
       "      <td>1853025642297186688</td>\n",
       "      <td>797957836</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>316.626036</td>\n",
       "      <td>0.026999</td>\n",
       "      <td>31.184635</td>\n",
       "      <td>0.044835</td>\n",
       "      <td>1.706173</td>\n",
       "      <td>0.055117</td>\n",
       "      <td>30.955368</td>\n",
       "      <td>3.640102</td>\n",
       "      <td>0.072388</td>\n",
       "      <td>-5.077193</td>\n",
       "      <td>0.090182</td>\n",
       "      <td>-0.541814</td>\n",
       "      <td>-0.053568</td>\n",
       "      <td>0.117310</td>\n",
       "      <td>0.173212</td>\n",
       "      <td>0.131704</td>\n",
       "      <td>0.268947</td>\n",
       "      <td>-0.505285</td>\n",
       "      <td>0.005599</td>\n",
       "      <td>-0.135601</td>\n",
       "      <td>-0.638913</td>\n",
       "      <td>725</td>\n",
       "      <td>725</td>\n",
       "      <td>644</td>\n",
       "      <td>81</td>\n",
       "      <td>46.585403</td>\n",
       "      <td>4167.82700</td>\n",
       "      <td>0.236805</td>\n",
       "      <td>3.921365e+01</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>15.828865</td>\n",
       "      <td>1.655623</td>\n",
       "      <td>0.007845</td>\n",
       "      <td>0.021635</td>\n",
       "      <td>84</td>\n",
       "      <td>16</td>\n",
       "      <td>0.063851</td>\n",
       "      <td>0</td>\n",
       "      <td>102</td>\n",
       "      <td>False</td>\n",
       "      <td>764</td>\n",
       "      <td>1.054925e+08</td>\n",
       "      <td>3.331191e+05</td>\n",
       "      <td>316.681060</td>\n",
       "      <td>5.630311</td>\n",
       "      <td>77</td>\n",
       "      <td>5.672453e+07</td>\n",
       "      <td>5.613620e+05</td>\n",
       "      <td>101.048040</td>\n",
       "      <td>5.966961</td>\n",
       "      <td>78</td>\n",
       "      <td>6.488427e+07</td>\n",
       "      <td>4.032366e+05</td>\n",
       "      <td>160.908690</td>\n",
       "      <td>5.231572</td>\n",
       "      <td>1.152772</td>\n",
       "      <td>0</td>\n",
       "      <td>0.735389</td>\n",
       "      <td>0.336649</td>\n",
       "      <td>0.398740</td>\n",
       "      <td>-2.139313</td>\n",
       "      <td>0.965986</td>\n",
       "      <td>44</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.25</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>76.548739</td>\n",
       "      <td>-10.782419</td>\n",
       "      <td>331.825877</td>\n",
       "      <td>45.135181</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>6090.0000</td>\n",
       "      <td>5963.6665</td>\n",
       "      <td>6221.7500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>33.746235</td>\n",
       "      <td>32.332165</td>\n",
       "      <td>35.191128</td>\n",
       "      <td>1411.284200</td>\n",
       "      <td>1349.96840</td>\n",
       "      <td>1472.600000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>175</td>\n",
       "      <td>DT Cyg</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.3978</td>\n",
       "      <td>4.638</td>\n",
       "      <td>4.390</td>\n",
       "      <td>4.374</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.80</td>\n",
       "      <td>0.18</td>\n",
       "      <td>7827</td>\n",
       "      <td>451</td>\n",
       "      <td>c*</td>\n",
       "      <td>LII</td>\n",
       "      <td>316.62602</td>\n",
       "      <td>31.18466</td>\n",
       "      <td>0.101976</td>\n",
       "      <td>V* DT Cyg</td>\n",
       "      <td>316.626018</td>\n",
       "      <td>31.184657</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>283</td>\n",
       "      <td>21 06 30.24427</td>\n",
       "      <td>+31 11 04.7656</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|UV |IR |*</td>\n",
       "      <td>-1.300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7II-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.7062</td>\n",
       "      <td>3.64</td>\n",
       "      <td>-5.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.380</td>\n",
       "      <td>5.820</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.740</td>\n",
       "      <td>4.470</td>\n",
       "      <td>4.374</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.096832</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>1853025642297186688</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.499301</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1815.428067</td>\n",
       "      <td>0.000032</td>\n",
       "      <td>1785.413486</td>\n",
       "      <td>0.000032</td>\n",
       "      <td>1785.374712</td>\n",
       "      <td>0.000032</td>\n",
       "      <td>5.615050</td>\n",
       "      <td>0.000446</td>\n",
       "      <td>5.926248</td>\n",
       "      <td>0.000308</td>\n",
       "      <td>5.201410</td>\n",
       "      <td>0.000461</td>\n",
       "      <td>0.241580</td>\n",
       "      <td>0.001842</td>\n",
       "      <td>0.299662</td>\n",
       "      <td>0.001504</td>\n",
       "      <td>0.156579</td>\n",
       "      <td>0.002215</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.066270</td>\n",
       "      <td>0.005022</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.473785</td>\n",
       "      <td>0.080170</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>61</td>\n",
       "      <td>65</td>\n",
       "      <td>64</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>91</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1857884212378132096</td>\n",
       "      <td>1857884212378132096</td>\n",
       "      <td>1074180086</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>312.867676</td>\n",
       "      <td>0.064366</td>\n",
       "      <td>28.250483</td>\n",
       "      <td>0.079372</td>\n",
       "      <td>1.673805</td>\n",
       "      <td>0.089141</td>\n",
       "      <td>18.776976</td>\n",
       "      <td>3.495889</td>\n",
       "      <td>0.138940</td>\n",
       "      <td>-5.086511</td>\n",
       "      <td>0.140903</td>\n",
       "      <td>0.115138</td>\n",
       "      <td>0.315737</td>\n",
       "      <td>-0.593386</td>\n",
       "      <td>-0.122163</td>\n",
       "      <td>0.011690</td>\n",
       "      <td>-0.156104</td>\n",
       "      <td>-0.708991</td>\n",
       "      <td>-0.277317</td>\n",
       "      <td>0.050247</td>\n",
       "      <td>-0.057145</td>\n",
       "      <td>339</td>\n",
       "      <td>339</td>\n",
       "      <td>301</td>\n",
       "      <td>38</td>\n",
       "      <td>44.551914</td>\n",
       "      <td>3238.39330</td>\n",
       "      <td>0.333981</td>\n",
       "      <td>5.549521e+01</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>8.163436</td>\n",
       "      <td>1.641056</td>\n",
       "      <td>0.017493</td>\n",
       "      <td>0.119402</td>\n",
       "      <td>38</td>\n",
       "      <td>14</td>\n",
       "      <td>0.084556</td>\n",
       "      <td>0</td>\n",
       "      <td>49</td>\n",
       "      <td>False</td>\n",
       "      <td>356</td>\n",
       "      <td>1.255945e+08</td>\n",
       "      <td>1.094738e+06</td>\n",
       "      <td>114.725600</td>\n",
       "      <td>5.440939</td>\n",
       "      <td>35</td>\n",
       "      <td>3.442496e+07</td>\n",
       "      <td>4.849976e+06</td>\n",
       "      <td>7.097964</td>\n",
       "      <td>6.509205</td>\n",
       "      <td>33</td>\n",
       "      <td>7.076962e+07</td>\n",
       "      <td>2.169504e+06</td>\n",
       "      <td>32.620186</td>\n",
       "      <td>5.137303</td>\n",
       "      <td>0.837573</td>\n",
       "      <td>0</td>\n",
       "      <td>1.371902</td>\n",
       "      <td>1.068266</td>\n",
       "      <td>0.303636</td>\n",
       "      <td>-12.111750</td>\n",
       "      <td>2.407374</td>\n",
       "      <td>22</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>72.132363</td>\n",
       "      <td>-10.151816</td>\n",
       "      <td>326.009486</td>\n",
       "      <td>43.715983</td>\n",
       "      <td>101001.0</td>\n",
       "      <td>4707.2500</td>\n",
       "      <td>3887.5000</td>\n",
       "      <td>6340.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>320</td>\n",
       "      <td>T Vul</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6469</td>\n",
       "      <td>4.558</td>\n",
       "      <td>4.273</td>\n",
       "      <td>4.185</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.66</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7793</td>\n",
       "      <td>451</td>\n",
       "      <td>b</td>\n",
       "      <td>LII</td>\n",
       "      <td>312.86766</td>\n",
       "      <td>28.25051</td>\n",
       "      <td>0.111247</td>\n",
       "      <td>V* T Vul</td>\n",
       "      <td>312.867659</td>\n",
       "      <td>28.250505</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>303</td>\n",
       "      <td>20 51 28.23825</td>\n",
       "      <td>+28 15 01.8166</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|UV |IR |*</td>\n",
       "      <td>-2.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5Ib+A0.8V</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.6738</td>\n",
       "      <td>3.50</td>\n",
       "      <td>-5.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.490</td>\n",
       "      <td>5.770</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.570</td>\n",
       "      <td>4.426</td>\n",
       "      <td>4.289</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.095666</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>1857884212378132096</td>\n",
       "      <td>2.217211</td>\n",
       "      <td>0.000019</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1758.874757</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>1760.720598</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>1760.569056</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>5.458561</td>\n",
       "      <td>0.000763</td>\n",
       "      <td>5.766362</td>\n",
       "      <td>0.003063</td>\n",
       "      <td>5.072982</td>\n",
       "      <td>0.003851</td>\n",
       "      <td>0.626731</td>\n",
       "      <td>0.005296</td>\n",
       "      <td>0.676486</td>\n",
       "      <td>0.005499</td>\n",
       "      <td>0.402561</td>\n",
       "      <td>0.060285</td>\n",
       "      <td>-0.033015</td>\n",
       "      <td>0.220066</td>\n",
       "      <td>0.402921</td>\n",
       "      <td>0.003972</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.621030</td>\n",
       "      <td>0.012909</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>23</td>\n",
       "      <td>25</td>\n",
       "      <td>26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>92</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1870258975238302208</td>\n",
       "      <td>1870258975238302208</td>\n",
       "      <td>1683892111</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>310.850763</td>\n",
       "      <td>0.019117</td>\n",
       "      <td>35.587777</td>\n",
       "      <td>0.020563</td>\n",
       "      <td>0.898267</td>\n",
       "      <td>0.027008</td>\n",
       "      <td>33.259600</td>\n",
       "      <td>-6.796781</td>\n",
       "      <td>0.041655</td>\n",
       "      <td>-5.001337</td>\n",
       "      <td>0.039015</td>\n",
       "      <td>-0.146377</td>\n",
       "      <td>0.114130</td>\n",
       "      <td>-0.194402</td>\n",
       "      <td>0.063062</td>\n",
       "      <td>0.213415</td>\n",
       "      <td>0.014886</td>\n",
       "      <td>-0.394209</td>\n",
       "      <td>-0.281926</td>\n",
       "      <td>-0.047437</td>\n",
       "      <td>-0.209323</td>\n",
       "      <td>340</td>\n",
       "      <td>340</td>\n",
       "      <td>315</td>\n",
       "      <td>25</td>\n",
       "      <td>10.232583</td>\n",
       "      <td>639.88640</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>326.378970</td>\n",
       "      <td>1.495103</td>\n",
       "      <td>0.005594</td>\n",
       "      <td>0.116668</td>\n",
       "      <td>39</td>\n",
       "      <td>16</td>\n",
       "      <td>0.033038</td>\n",
       "      <td>0</td>\n",
       "      <td>45</td>\n",
       "      <td>False</td>\n",
       "      <td>389</td>\n",
       "      <td>3.071784e+07</td>\n",
       "      <td>1.572208e+06</td>\n",
       "      <td>19.538033</td>\n",
       "      <td>6.969889</td>\n",
       "      <td>41</td>\n",
       "      <td>2.116396e+07</td>\n",
       "      <td>1.679287e+06</td>\n",
       "      <td>12.602944</td>\n",
       "      <td>7.037396</td>\n",
       "      <td>41</td>\n",
       "      <td>3.242149e+07</td>\n",
       "      <td>3.710689e+06</td>\n",
       "      <td>8.737323</td>\n",
       "      <td>5.984838</td>\n",
       "      <td>1.744440</td>\n",
       "      <td>0</td>\n",
       "      <td>1.052558</td>\n",
       "      <td>0.067507</td>\n",
       "      <td>0.985051</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>76.870426</td>\n",
       "      <td>-4.262624</td>\n",
       "      <td>327.960690</td>\n",
       "      <td>51.133963</td>\n",
       "      <td>102001.0</td>\n",
       "      <td>5143.4500</td>\n",
       "      <td>4297.5000</td>\n",
       "      <td>7050.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>218</td>\n",
       "      <td>X Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.2145</td>\n",
       "      <td>4.417</td>\n",
       "      <td>3.969</td>\n",
       "      <td>3.815</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.04</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7772</td>\n",
       "      <td>448</td>\n",
       "      <td>b</td>\n",
       "      <td>LII</td>\n",
       "      <td>310.85080</td>\n",
       "      <td>35.58780</td>\n",
       "      <td>0.134664</td>\n",
       "      <td>V* X Cyg</td>\n",
       "      <td>310.850799</td>\n",
       "      <td>35.587799</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>424</td>\n",
       "      <td>20 43 24.19187</td>\n",
       "      <td>+35 35 16.0757</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>8.100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.8983</td>\n",
       "      <td>-6.80</td>\n",
       "      <td>-5.00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.700</td>\n",
       "      <td>6.470</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.400</td>\n",
       "      <td>3.940</td>\n",
       "      <td>3.760</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.130798</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>1870258975238302208</td>\n",
       "      <td>16.390621</td>\n",
       "      <td>0.000279</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1727.835944</td>\n",
       "      <td>0.000395</td>\n",
       "      <td>1726.656515</td>\n",
       "      <td>0.000395</td>\n",
       "      <td>1727.231481</td>\n",
       "      <td>0.000395</td>\n",
       "      <td>6.072325</td>\n",
       "      <td>0.000244</td>\n",
       "      <td>6.688083</td>\n",
       "      <td>0.000537</td>\n",
       "      <td>5.359146</td>\n",
       "      <td>0.001134</td>\n",
       "      <td>0.641627</td>\n",
       "      <td>0.000758</td>\n",
       "      <td>0.948347</td>\n",
       "      <td>0.002500</td>\n",
       "      <td>0.546576</td>\n",
       "      <td>0.002268</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>31</td>\n",
       "      <td>32</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>93</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1873112207907294848</td>\n",
       "      <td>1873112207907294848</td>\n",
       "      <td>1244572195</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>316.069303</td>\n",
       "      <td>0.019890</td>\n",
       "      <td>39.972234</td>\n",
       "      <td>0.023850</td>\n",
       "      <td>0.446392</td>\n",
       "      <td>0.028187</td>\n",
       "      <td>15.836808</td>\n",
       "      <td>-2.887791</td>\n",
       "      <td>0.044613</td>\n",
       "      <td>-4.047353</td>\n",
       "      <td>0.043946</td>\n",
       "      <td>-0.012508</td>\n",
       "      <td>0.128686</td>\n",
       "      <td>-0.279774</td>\n",
       "      <td>-0.047115</td>\n",
       "      <td>0.286059</td>\n",
       "      <td>-0.067482</td>\n",
       "      <td>-0.356168</td>\n",
       "      <td>-0.039873</td>\n",
       "      <td>-0.024060</td>\n",
       "      <td>-0.102932</td>\n",
       "      <td>294</td>\n",
       "      <td>294</td>\n",
       "      <td>287</td>\n",
       "      <td>7</td>\n",
       "      <td>4.347716</td>\n",
       "      <td>397.52823</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>254.230800</td>\n",
       "      <td>1.464016</td>\n",
       "      <td>0.006455</td>\n",
       "      <td>0.090174</td>\n",
       "      <td>33</td>\n",
       "      <td>17</td>\n",
       "      <td>0.033782</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>False</td>\n",
       "      <td>313</td>\n",
       "      <td>3.843281e+06</td>\n",
       "      <td>5.932488e+04</td>\n",
       "      <td>64.783640</td>\n",
       "      <td>9.226610</td>\n",
       "      <td>35</td>\n",
       "      <td>1.437772e+06</td>\n",
       "      <td>7.186533e+04</td>\n",
       "      <td>20.006475</td>\n",
       "      <td>9.957163</td>\n",
       "      <td>33</td>\n",
       "      <td>3.847890e+06</td>\n",
       "      <td>1.148532e+05</td>\n",
       "      <td>33.502680</td>\n",
       "      <td>8.298863</td>\n",
       "      <td>1.375299</td>\n",
       "      <td>0</td>\n",
       "      <td>1.658299</td>\n",
       "      <td>0.730553</td>\n",
       "      <td>0.927747</td>\n",
       "      <td>-7.008827</td>\n",
       "      <td>5.840704</td>\n",
       "      <td>7</td>\n",
       "      <td>4500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>82.894949</td>\n",
       "      <td>-4.624814</td>\n",
       "      <td>337.175943</td>\n",
       "      <td>53.216017</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4384.7750</td>\n",
       "      <td>4240.5376</td>\n",
       "      <td>4752.2500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>55.535275</td>\n",
       "      <td>47.278637</td>\n",
       "      <td>59.377470</td>\n",
       "      <td>1027.121300</td>\n",
       "      <td>919.71735</td>\n",
       "      <td>1134.525400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>216</td>\n",
       "      <td>VY Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8953</td>\n",
       "      <td>6.999</td>\n",
       "      <td>6.548</td>\n",
       "      <td>6.337</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.06</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.45</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7937</td>\n",
       "      <td>438</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>316.06932</td>\n",
       "      <td>39.97225</td>\n",
       "      <td>0.075537</td>\n",
       "      <td>V* VY Cyg</td>\n",
       "      <td>316.069319</td>\n",
       "      <td>39.972251</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>116</td>\n",
       "      <td>21 04 16.63654</td>\n",
       "      <td>+39 58 20.1042</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-11.900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5.5-G0.5Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4464</td>\n",
       "      <td>-2.89</td>\n",
       "      <td>-4.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.660</td>\n",
       "      <td>9.560</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.982</td>\n",
       "      <td>6.489</td>\n",
       "      <td>6.305</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.077065</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>1873112207907294848</td>\n",
       "      <td>7.855820</td>\n",
       "      <td>0.000033</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1747.252057</td>\n",
       "      <td>0.000047</td>\n",
       "      <td>1747.131731</td>\n",
       "      <td>0.000047</td>\n",
       "      <td>1747.185783</td>\n",
       "      <td>0.000047</td>\n",
       "      <td>9.045826</td>\n",
       "      <td>0.000428</td>\n",
       "      <td>9.819279</td>\n",
       "      <td>0.000704</td>\n",
       "      <td>8.204380</td>\n",
       "      <td>0.000526</td>\n",
       "      <td>0.654177</td>\n",
       "      <td>0.000886</td>\n",
       "      <td>0.876280</td>\n",
       "      <td>0.001504</td>\n",
       "      <td>0.554956</td>\n",
       "      <td>0.000956</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>0.324708</td>\n",
       "      <td>0.001073</td>\n",
       "      <td>0.185258</td>\n",
       "      <td>0.001885</td>\n",
       "      <td>5.275816</td>\n",
       "      <td>0.008096</td>\n",
       "      <td>3.583565</td>\n",
       "      <td>0.004051</td>\n",
       "      <td>32</td>\n",
       "      <td>31</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>94</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1873250780732545920</td>\n",
       "      <td>1873250780732545920</td>\n",
       "      <td>983469567</td>\n",
       "      <td>2015.5</td>\n",
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       "      <td>40.177487</td>\n",
       "      <td>0.025157</td>\n",
       "      <td>0.349530</td>\n",
       "      <td>0.027658</td>\n",
       "      <td>12.637806</td>\n",
       "      <td>-1.909788</td>\n",
       "      <td>0.040147</td>\n",
       "      <td>-3.553273</td>\n",
       "      <td>0.049507</td>\n",
       "      <td>-0.016142</td>\n",
       "      <td>0.002826</td>\n",
       "      <td>-0.147679</td>\n",
       "      <td>-0.101716</td>\n",
       "      <td>0.214091</td>\n",
       "      <td>-0.126828</td>\n",
       "      <td>-0.442064</td>\n",
       "      <td>-0.069318</td>\n",
       "      <td>0.100213</td>\n",
       "      <td>-0.020755</td>\n",
       "      <td>304</td>\n",
       "      <td>304</td>\n",
       "      <td>297</td>\n",
       "      <td>7</td>\n",
       "      <td>9.569371</td>\n",
       "      <td>588.61050</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>266.181400</td>\n",
       "      <td>1.376166</td>\n",
       "      <td>0.006087</td>\n",
       "      <td>0.020718</td>\n",
       "      <td>35</td>\n",
       "      <td>16</td>\n",
       "      <td>0.037312</td>\n",
       "      <td>0</td>\n",
       "      <td>41</td>\n",
       "      <td>False</td>\n",
       "      <td>347</td>\n",
       "      <td>3.128018e+06</td>\n",
       "      <td>2.262398e+04</td>\n",
       "      <td>138.261170</td>\n",
       "      <td>9.450192</td>\n",
       "      <td>41</td>\n",
       "      <td>7.872941e+05</td>\n",
       "      <td>2.094386e+04</td>\n",
       "      <td>37.590683</td>\n",
       "      <td>10.611046</td>\n",
       "      <td>41</td>\n",
       "      <td>3.348065e+06</td>\n",
       "      <td>6.146208e+04</td>\n",
       "      <td>54.473667</td>\n",
       "      <td>8.449935</td>\n",
       "      <td>1.322038</td>\n",
       "      <td>0</td>\n",
       "      <td>2.161111</td>\n",
       "      <td>1.160853</td>\n",
       "      <td>1.000258</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>82.176711</td>\n",
       "      <td>-3.490631</td>\n",
       "      <td>335.374657</td>\n",
       "      <td>54.027443</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3986.5100</td>\n",
       "      <td>3814.6099</td>\n",
       "      <td>4431.1167</td>\n",
       "      <td>0.7990</td>\n",
       "      <td>0.4959</td>\n",
       "      <td>1.4046</td>\n",
       "      <td>0.3970</td>\n",
       "      <td>0.2430</td>\n",
       "      <td>0.7363</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>86.435100</td>\n",
       "      <td>69.959946</td>\n",
       "      <td>94.400780</td>\n",
       "      <td>1699.990000</td>\n",
       "      <td>1477.85310</td>\n",
       "      <td>1922.126800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>215</td>\n",
       "      <td>VX Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.3039</td>\n",
       "      <td>6.694</td>\n",
       "      <td>6.078</td>\n",
       "      <td>5.840</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.19</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8037</td>\n",
       "      <td>426</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>314.33679</td>\n",
       "      <td>40.17751</td>\n",
       "      <td>0.086726</td>\n",
       "      <td>V* VX Cyg</td>\n",
       "      <td>314.336791</td>\n",
       "      <td>40.177502</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>112</td>\n",
       "      <td>20 57 20.82988</td>\n",
       "      <td>+40 10 39.0085</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>Em*|V* |cC*|*  |IR</td>\n",
       "      <td>-16.400</td>\n",
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       "      <td>F5e-G2I-II</td>\n",
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       "      <td>-3.55</td>\n",
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       "      <td>0.062527</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>1873250780732545920</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>1715.603460</td>\n",
       "      <td>0.000504</td>\n",
       "      <td>1775.729293</td>\n",
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       "      <td>37</td>\n",
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       "      <td>34</td>\n",
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       "      <td>DCEP</td>\n",
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       "      <td>FUNDAMENTAL</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>95</th>\n",
       "      <td>1635721458409799680</td>\n",
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       "      <td>1960750328384177408</td>\n",
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       "      <td>2015.5</td>\n",
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       "      <td>0.434985</td>\n",
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       "      <td>0.043399</td>\n",
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       "      <td>-0.274065</td>\n",
       "      <td>-0.146943</td>\n",
       "      <td>-0.012398</td>\n",
       "      <td>-0.010151</td>\n",
       "      <td>293</td>\n",
       "      <td>293</td>\n",
       "      <td>286</td>\n",
       "      <td>7</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
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       "      <td>1.551101</td>\n",
       "      <td>0.006610</td>\n",
       "      <td>0.015280</td>\n",
       "      <td>33</td>\n",
       "      <td>17</td>\n",
       "      <td>0.033174</td>\n",
       "      <td>0</td>\n",
       "      <td>47</td>\n",
       "      <td>False</td>\n",
       "      <td>392</td>\n",
       "      <td>5.824995e+06</td>\n",
       "      <td>4.591671e+04</td>\n",
       "      <td>126.860030</td>\n",
       "      <td>8.775126</td>\n",
       "      <td>47</td>\n",
       "      <td>2.642690e+06</td>\n",
       "      <td>7.454182e+04</td>\n",
       "      <td>35.452450</td>\n",
       "      <td>9.296272</td>\n",
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       "      <td>4.728216e+06</td>\n",
       "      <td>8.859315e+04</td>\n",
       "      <td>53.370000</td>\n",
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       "      <td>200111.0</td>\n",
       "      <td>50.431885</td>\n",
       "      <td>46.841060</td>\n",
       "      <td>52.808980</td>\n",
       "      <td>1361.587500</td>\n",
       "      <td>1215.67940</td>\n",
       "      <td>1507.495600</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>217</td>\n",
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       "      <td>DCEP</td>\n",
       "      <td>0.6870</td>\n",
       "      <td>7.186</td>\n",
       "      <td>6.852</td>\n",
       "      <td>6.699</td>\n",
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       "      <td>8174</td>\n",
       "      <td>441</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
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       "      <td>0.079366</td>\n",
       "      <td>V* VZ Cyg</td>\n",
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       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>145</td>\n",
       "      <td>21 51 41.44151</td>\n",
       "      <td>+43 08 02.5380</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR |SB*</td>\n",
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       "      <td>G0</td>\n",
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       "      <td>369295549951641967</td>\n",
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       "      <td>1660.758154</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>1660.798283</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>1660.841123</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>8.668239</td>\n",
       "      <td>0.000199</td>\n",
       "      <td>9.184621</td>\n",
       "      <td>0.000249</td>\n",
       "      <td>8.027929</td>\n",
       "      <td>0.000210</td>\n",
       "      <td>0.570855</td>\n",
       "      <td>0.000559</td>\n",
       "      <td>0.722128</td>\n",
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       "      <td>0.146201</td>\n",
       "      <td>0.000919</td>\n",
       "      <td>4.469538</td>\n",
       "      <td>0.003652</td>\n",
       "      <td>2.593207</td>\n",
       "      <td>0.006963</td>\n",
       "      <td>43</td>\n",
       "      <td>40</td>\n",
       "      <td>39</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>96</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1960981328902089088</td>\n",
       "      <td>1960981328902089088</td>\n",
       "      <td>1519227140</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>330.104757</td>\n",
       "      <td>0.022131</td>\n",
       "      <td>43.445353</td>\n",
       "      <td>0.028315</td>\n",
       "      <td>0.509449</td>\n",
       "      <td>0.030578</td>\n",
       "      <td>16.660795</td>\n",
       "      <td>-3.638185</td>\n",
       "      <td>0.049772</td>\n",
       "      <td>-3.876780</td>\n",
       "      <td>0.063283</td>\n",
       "      <td>-0.082924</td>\n",
       "      <td>0.234995</td>\n",
       "      <td>-0.277616</td>\n",
       "      <td>-0.000488</td>\n",
       "      <td>0.165982</td>\n",
       "      <td>0.041621</td>\n",
       "      <td>-0.446865</td>\n",
       "      <td>-0.059091</td>\n",
       "      <td>-0.106124</td>\n",
       "      <td>-0.271100</td>\n",
       "      <td>275</td>\n",
       "      <td>275</td>\n",
       "      <td>271</td>\n",
       "      <td>4</td>\n",
       "      <td>10.040365</td>\n",
       "      <td>570.18036</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>169.729400</td>\n",
       "      <td>1.545420</td>\n",
       "      <td>0.006419</td>\n",
       "      <td>0.044246</td>\n",
       "      <td>31</td>\n",
       "      <td>16</td>\n",
       "      <td>0.047332</td>\n",
       "      <td>0</td>\n",
       "      <td>50</td>\n",
       "      <td>False</td>\n",
       "      <td>388</td>\n",
       "      <td>6.477659e+06</td>\n",
       "      <td>4.783864e+04</td>\n",
       "      <td>135.406420</td>\n",
       "      <td>8.659821</td>\n",
       "      <td>45</td>\n",
       "      <td>2.807371e+06</td>\n",
       "      <td>7.939337e+04</td>\n",
       "      <td>35.360270</td>\n",
       "      <td>9.230638</td>\n",
       "      <td>46</td>\n",
       "      <td>5.265501e+06</td>\n",
       "      <td>8.775979e+04</td>\n",
       "      <td>59.999020</td>\n",
       "      <td>7.958321</td>\n",
       "      <td>1.246264</td>\n",
       "      <td>0</td>\n",
       "      <td>1.272318</td>\n",
       "      <td>0.570818</td>\n",
       "      <td>0.701500</td>\n",
       "      <td>-25.496704</td>\n",
       "      <td>4.155516</td>\n",
       "      <td>11</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>92.972946</td>\n",
       "      <td>-9.258542</td>\n",
       "      <td>354.692921</td>\n",
       "      <td>50.792298</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5063.0000</td>\n",
       "      <td>4995.0000</td>\n",
       "      <td>5127.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>42.598850</td>\n",
       "      <td>41.541970</td>\n",
       "      <td>43.766594</td>\n",
       "      <td>1074.291600</td>\n",
       "      <td>971.29910</td>\n",
       "      <td>1177.284200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>222</td>\n",
       "      <td>BG Lac</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7269</td>\n",
       "      <td>7.009</td>\n",
       "      <td>6.649</td>\n",
       "      <td>6.473</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.11</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8191</td>\n",
       "      <td>443</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>330.10477</td>\n",
       "      <td>43.44537</td>\n",
       "      <td>0.071086</td>\n",
       "      <td>V* BG Lac</td>\n",
       "      <td>330.104779</td>\n",
       "      <td>43.445369</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>125</td>\n",
       "      <td>22 00 25.14687</td>\n",
       "      <td>+43 26 43.3296</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-18.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0.7</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.5094</td>\n",
       "      <td>-5.57</td>\n",
       "      <td>-3.21</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.330</td>\n",
       "      <td>8.590</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.893</td>\n",
       "      <td>6.592</td>\n",
       "      <td>6.459</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.082407</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>1960981328902089088</td>\n",
       "      <td>5.331659</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1658.803526</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>1658.851260</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>1658.920916</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>8.569651</td>\n",
       "      <td>0.000198</td>\n",
       "      <td>9.133196</td>\n",
       "      <td>0.000356</td>\n",
       "      <td>7.900367</td>\n",
       "      <td>0.000216</td>\n",
       "      <td>0.512544</td>\n",
       "      <td>0.000597</td>\n",
       "      <td>0.658256</td>\n",
       "      <td>0.000757</td>\n",
       "      <td>0.404476</td>\n",
       "      <td>0.000520</td>\n",
       "      <td>0.186592</td>\n",
       "      <td>0.233822</td>\n",
       "      <td>0.352162</td>\n",
       "      <td>0.001424</td>\n",
       "      <td>0.119634</td>\n",
       "      <td>0.001469</td>\n",
       "      <td>4.548056</td>\n",
       "      <td>0.005950</td>\n",
       "      <td>2.594190</td>\n",
       "      <td>0.009294</td>\n",
       "      <td>40</td>\n",
       "      <td>39</td>\n",
       "      <td>40</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>97</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1964855904803120640</td>\n",
       "      <td>1964855904803120640</td>\n",
       "      <td>120286284</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>319.842426</td>\n",
       "      <td>0.044629</td>\n",
       "      <td>38.237465</td>\n",
       "      <td>0.057875</td>\n",
       "      <td>1.150552</td>\n",
       "      <td>0.066348</td>\n",
       "      <td>17.341063</td>\n",
       "      <td>3.740057</td>\n",
       "      <td>0.100766</td>\n",
       "      <td>0.326274</td>\n",
       "      <td>0.114499</td>\n",
       "      <td>-0.046074</td>\n",
       "      <td>-0.102718</td>\n",
       "      <td>-0.219882</td>\n",
       "      <td>-0.091397</td>\n",
       "      <td>0.159722</td>\n",
       "      <td>-0.091231</td>\n",
       "      <td>-0.370026</td>\n",
       "      <td>-0.021527</td>\n",
       "      <td>0.005033</td>\n",
       "      <td>-0.174077</td>\n",
       "      <td>336</td>\n",
       "      <td>336</td>\n",
       "      <td>281</td>\n",
       "      <td>55</td>\n",
       "      <td>37.438137</td>\n",
       "      <td>2418.05150</td>\n",
       "      <td>0.295876</td>\n",
       "      <td>3.420177e+01</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>10.243600</td>\n",
       "      <td>1.643249</td>\n",
       "      <td>0.013941</td>\n",
       "      <td>0.036797</td>\n",
       "      <td>36</td>\n",
       "      <td>17</td>\n",
       "      <td>0.068192</td>\n",
       "      <td>0</td>\n",
       "      <td>44</td>\n",
       "      <td>False</td>\n",
       "      <td>334</td>\n",
       "      <td>9.726606e+07</td>\n",
       "      <td>2.134851e+05</td>\n",
       "      <td>455.610630</td>\n",
       "      <td>5.718463</td>\n",
       "      <td>32</td>\n",
       "      <td>5.390308e+07</td>\n",
       "      <td>4.699404e+05</td>\n",
       "      <td>114.701935</td>\n",
       "      <td>6.022354</td>\n",
       "      <td>37</td>\n",
       "      <td>5.960540e+07</td>\n",
       "      <td>3.928160e+05</td>\n",
       "      <td>151.738720</td>\n",
       "      <td>5.323706</td>\n",
       "      <td>1.166990</td>\n",
       "      <td>0</td>\n",
       "      <td>0.698648</td>\n",
       "      <td>0.303892</td>\n",
       "      <td>0.394756</td>\n",
       "      <td>-4.341277</td>\n",
       "      <td>2.176760</td>\n",
       "      <td>22</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>83.621648</td>\n",
       "      <td>-7.950070</td>\n",
       "      <td>339.995851</td>\n",
       "      <td>50.294359</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>6198.0000</td>\n",
       "      <td>6103.0000</td>\n",
       "      <td>6252.7500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>46.326805</td>\n",
       "      <td>45.519070</td>\n",
       "      <td>47.780290</td>\n",
       "      <td>2853.420200</td>\n",
       "      <td>2641.47970</td>\n",
       "      <td>3065.360600</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>194</td>\n",
       "      <td>V1334 Cyg</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.5228</td>\n",
       "      <td>5.170</td>\n",
       "      <td>4.664</td>\n",
       "      <td>4.460</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.00</td>\n",
       "      <td>0.13</td>\n",
       "      <td>7895</td>\n",
       "      <td>450</td>\n",
       "      <td>c*</td>\n",
       "      <td>LII</td>\n",
       "      <td>319.84242</td>\n",
       "      <td>38.23748</td>\n",
       "      <td>0.057841</td>\n",
       "      <td>V* V1334 Cyg</td>\n",
       "      <td>319.842405</td>\n",
       "      <td>38.237463</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>159</td>\n",
       "      <td>21 19 22.17725</td>\n",
       "      <td>+38 14 14.8674</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>** |V* |cC*|*  |UV |IR |SB*|**</td>\n",
       "      <td>-1.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F1II+B7.0V</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.1506</td>\n",
       "      <td>3.74</td>\n",
       "      <td>0.33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.364</td>\n",
       "      <td>5.882</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.170</td>\n",
       "      <td>4.664</td>\n",
       "      <td>4.460</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.058191</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>1964855904803120640</td>\n",
       "      <td>3.332335</td>\n",
       "      <td>0.000106</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1760.014839</td>\n",
       "      <td>0.000150</td>\n",
       "      <td>1813.211034</td>\n",
       "      <td>0.000150</td>\n",
       "      <td>1759.757116</td>\n",
       "      <td>0.000150</td>\n",
       "      <td>5.721321</td>\n",
       "      <td>0.000333</td>\n",
       "      <td>6.026267</td>\n",
       "      <td>0.000730</td>\n",
       "      <td>5.317554</td>\n",
       "      <td>0.001025</td>\n",
       "      <td>0.130274</td>\n",
       "      <td>0.001162</td>\n",
       "      <td>0.166757</td>\n",
       "      <td>0.002617</td>\n",
       "      <td>0.107355</td>\n",
       "      <td>0.003089</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>26</td>\n",
       "      <td>23</td>\n",
       "      <td>21</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>98</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1968971582984827136</td>\n",
       "      <td>1968971582984827136</td>\n",
       "      <td>512048464</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>318.668470</td>\n",
       "      <td>0.019827</td>\n",
       "      <td>41.716337</td>\n",
       "      <td>0.023578</td>\n",
       "      <td>0.895998</td>\n",
       "      <td>0.027305</td>\n",
       "      <td>32.814613</td>\n",
       "      <td>-0.894074</td>\n",
       "      <td>0.044460</td>\n",
       "      <td>-2.027355</td>\n",
       "      <td>0.052663</td>\n",
       "      <td>-0.051674</td>\n",
       "      <td>0.189638</td>\n",
       "      <td>-0.271545</td>\n",
       "      <td>-0.006144</td>\n",
       "      <td>0.184223</td>\n",
       "      <td>0.003140</td>\n",
       "      <td>-0.112862</td>\n",
       "      <td>-0.058772</td>\n",
       "      <td>-0.135814</td>\n",
       "      <td>-0.111632</td>\n",
       "      <td>299</td>\n",
       "      <td>299</td>\n",
       "      <td>299</td>\n",
       "      <td>0</td>\n",
       "      <td>6.861128</td>\n",
       "      <td>492.78888</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>184.601580</td>\n",
       "      <td>1.395698</td>\n",
       "      <td>0.006146</td>\n",
       "      <td>0.036390</td>\n",
       "      <td>35</td>\n",
       "      <td>17</td>\n",
       "      <td>0.038868</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>False</td>\n",
       "      <td>330</td>\n",
       "      <td>4.899072e+06</td>\n",
       "      <td>3.747414e+04</td>\n",
       "      <td>130.732090</td>\n",
       "      <td>8.963081</td>\n",
       "      <td>38</td>\n",
       "      <td>1.390888e+06</td>\n",
       "      <td>4.111711e+04</td>\n",
       "      <td>33.827484</td>\n",
       "      <td>9.993157</td>\n",
       "      <td>38</td>\n",
       "      <td>5.232460e+06</td>\n",
       "      <td>1.074721e+05</td>\n",
       "      <td>48.686690</td>\n",
       "      <td>7.965155</td>\n",
       "      <td>1.351960</td>\n",
       "      <td>0</td>\n",
       "      <td>2.028002</td>\n",
       "      <td>1.030076</td>\n",
       "      <td>0.997926</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>85.518562</td>\n",
       "      <td>-4.890878</td>\n",
       "      <td>341.495818</td>\n",
       "      <td>53.767255</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4059.2300</td>\n",
       "      <td>3761.7600</td>\n",
       "      <td>4374.4550</td>\n",
       "      <td>0.7780</td>\n",
       "      <td>0.3613</td>\n",
       "      <td>1.4185</td>\n",
       "      <td>0.3577</td>\n",
       "      <td>0.1627</td>\n",
       "      <td>0.6040</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>39.811750</td>\n",
       "      <td>34.280777</td>\n",
       "      <td>46.357113</td>\n",
       "      <td>387.696470</td>\n",
       "      <td>367.90366</td>\n",
       "      <td>407.489300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>200</td>\n",
       "      <td>V386 Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7208</td>\n",
       "      <td>6.363</td>\n",
       "      <td>5.806</td>\n",
       "      <td>5.524</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.17</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>7923</td>\n",
       "      <td>448</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>318.66848</td>\n",
       "      <td>41.71635</td>\n",
       "      <td>0.054814</td>\n",
       "      <td>V* V386 Cyg</td>\n",
       "      <td>318.668475</td>\n",
       "      <td>41.716346</td>\n",
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       "      <td>0.000</td>\n",
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       "      <td>-6.800</td>\n",
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       "      <td>F5.5-G0Ib</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>11.120</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>0.034344</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>1754.505984</td>\n",
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       "      <td>1780.756475</td>\n",
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       "      <td>0.001696</td>\n",
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       "      <td>32</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>99</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1971722045688053248</td>\n",
       "      <td>1971722045688053248</td>\n",
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       "      <td>242</td>\n",
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       "      <td>True</td>\n",
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       "      <td>17</td>\n",
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       "      <td>0</td>\n",
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       "      <td>False</td>\n",
       "      <td>250</td>\n",
       "      <td>6.193219e+06</td>\n",
       "      <td>3.071010e+04</td>\n",
       "      <td>201.667160</td>\n",
       "      <td>8.708574</td>\n",
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       "      <td>2.434619e+06</td>\n",
       "      <td>4.757233e+04</td>\n",
       "      <td>51.177210</td>\n",
       "      <td>9.385310</td>\n",
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       "      <td>5.336232e+06</td>\n",
       "      <td>6.185162e+04</td>\n",
       "      <td>86.274734</td>\n",
       "      <td>7.943833</td>\n",
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       "      <td>VARIABLE</td>\n",
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       "      <td>56.390967</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4504.0000</td>\n",
       "      <td>4361.6553</td>\n",
       "      <td>4695.4800</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>200111.0</td>\n",
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       "      <td>47.659767</td>\n",
       "      <td>55.234344</td>\n",
       "      <td>994.760440</td>\n",
       "      <td>904.84230</td>\n",
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       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>209</td>\n",
       "      <td>V532 Cyg</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.5164</td>\n",
       "      <td>6.863</td>\n",
       "      <td>6.393</td>\n",
       "      <td>6.250</td>\n",
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       "      <td>0.10</td>\n",
       "      <td>8049</td>\n",
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       "      <td>c*</td>\n",
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       "      <td>320.13708</td>\n",
       "      <td>45.46750</td>\n",
       "      <td>0.054790</td>\n",
       "      <td>V* V532 Cyg</td>\n",
       "      <td>320.137085</td>\n",
       "      <td>45.467505</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
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       "      <td>96</td>\n",
       "      <td>21 20 32.90041</td>\n",
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       "      <td>F5</td>\n",
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       "      <td>DCEP</td>\n",
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       "      <td>FIRST_OVERTONE</td>\n",
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       "    <tr>\n",
       "      <th>100</th>\n",
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       "      <td>1977074811892425600</td>\n",
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       "      <td>-0.202487</td>\n",
       "      <td>0.004040</td>\n",
       "      <td>-0.077094</td>\n",
       "      <td>240</td>\n",
       "      <td>240</td>\n",
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       "      <td>True</td>\n",
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       "      <td>4.415107e+06</td>\n",
       "      <td>4.042350e+04</td>\n",
       "      <td>109.221300</td>\n",
       "      <td>9.076013</td>\n",
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       "      <td>2.193274e+06</td>\n",
       "      <td>8.138020e+04</td>\n",
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       "      <td>9.498656</td>\n",
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       "      <td>3.301203e+06</td>\n",
       "      <td>7.302777e+04</td>\n",
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       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
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       "      <td>146</td>\n",
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       "      <td>0.000246</td>\n",
       "      <td>8.388598</td>\n",
       "      <td>0.000154</td>\n",
       "      <td>0.638876</td>\n",
       "      <td>0.000810</td>\n",
       "      <td>0.815518</td>\n",
       "      <td>0.001159</td>\n",
       "      <td>0.494257</td>\n",
       "      <td>0.000778</td>\n",
       "      <td>0.106169</td>\n",
       "      <td>0.224992</td>\n",
       "      <td>0.369390</td>\n",
       "      <td>0.000948</td>\n",
       "      <td>0.155967</td>\n",
       "      <td>0.001130</td>\n",
       "      <td>4.331069</td>\n",
       "      <td>0.003636</td>\n",
       "      <td>2.544979</td>\n",
       "      <td>0.006176</td>\n",
       "      <td>38</td>\n",
       "      <td>34</td>\n",
       "      <td>36</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>101</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1981006115714214912</td>\n",
       "      <td>1981006115714214912</td>\n",
       "      <td>1076810542</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>327.398000</td>\n",
       "      <td>0.026121</td>\n",
       "      <td>52.395226</td>\n",
       "      <td>0.025628</td>\n",
       "      <td>0.277939</td>\n",
       "      <td>0.029724</td>\n",
       "      <td>9.350644</td>\n",
       "      <td>-3.640385</td>\n",
       "      <td>0.055159</td>\n",
       "      <td>-4.184029</td>\n",
       "      <td>0.049655</td>\n",
       "      <td>0.160924</td>\n",
       "      <td>0.197933</td>\n",
       "      <td>-0.377545</td>\n",
       "      <td>-0.157405</td>\n",
       "      <td>0.269303</td>\n",
       "      <td>-0.210490</td>\n",
       "      <td>-0.229239</td>\n",
       "      <td>-0.131258</td>\n",
       "      <td>-0.099470</td>\n",
       "      <td>-0.071868</td>\n",
       "      <td>218</td>\n",
       "      <td>218</td>\n",
       "      <td>209</td>\n",
       "      <td>9</td>\n",
       "      <td>10.290219</td>\n",
       "      <td>489.24094</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>454.008640</td>\n",
       "      <td>1.419458</td>\n",
       "      <td>0.007455</td>\n",
       "      <td>-0.073740</td>\n",
       "      <td>25</td>\n",
       "      <td>16</td>\n",
       "      <td>0.040376</td>\n",
       "      <td>0</td>\n",
       "      <td>39</td>\n",
       "      <td>False</td>\n",
       "      <td>324</td>\n",
       "      <td>4.804992e+05</td>\n",
       "      <td>4.241489e+03</td>\n",
       "      <td>113.285510</td>\n",
       "      <td>11.484134</td>\n",
       "      <td>33</td>\n",
       "      <td>1.383444e+05</td>\n",
       "      <td>4.825618e+03</td>\n",
       "      <td>28.668740</td>\n",
       "      <td>12.498984</td>\n",
       "      <td>34</td>\n",
       "      <td>5.036630e+05</td>\n",
       "      <td>1.127041e+04</td>\n",
       "      <td>44.688976</td>\n",
       "      <td>10.506570</td>\n",
       "      <td>1.336126</td>\n",
       "      <td>0</td>\n",
       "      <td>1.992414</td>\n",
       "      <td>1.014851</td>\n",
       "      <td>0.977564</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>97.144727</td>\n",
       "      <td>-1.126655</td>\n",
       "      <td>1.502426</td>\n",
       "      <td>59.053380</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4086.1875</td>\n",
       "      <td>3934.5650</td>\n",
       "      <td>4151.6104</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>39.330630</td>\n",
       "      <td>38.100820</td>\n",
       "      <td>42.420330</td>\n",
       "      <td>388.534580</td>\n",
       "      <td>321.63208</td>\n",
       "      <td>455.437070</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>196</td>\n",
       "      <td>V1397 Cyg</td>\n",
       "      <td>IS:</td>\n",
       "      <td>0.6665</td>\n",
       "      <td>9.127</td>\n",
       "      <td>8.507</td>\n",
       "      <td>8.262</td>\n",
       "      <td>0.01</td>\n",
       "      <td>-0.02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.46</td>\n",
       "      <td>0.27</td>\n",
       "      <td>8874</td>\n",
       "      <td>459</td>\n",
       "      <td>c*</td>\n",
       "      <td>LIII</td>\n",
       "      <td>327.39802</td>\n",
       "      <td>52.39522</td>\n",
       "      <td>0.049342</td>\n",
       "      <td>V* V1397 Cyg</td>\n",
       "      <td>327.398026</td>\n",
       "      <td>52.395244</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>10</td>\n",
       "      <td>21 49 35.52617</td>\n",
       "      <td>+52 23 42.8794</td>\n",
       "      <td>Rapid_Irreg_V*</td>\n",
       "      <td>*  |IR |V* |RI*</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2779</td>\n",
       "      <td>-3.64</td>\n",
       "      <td>-4.18</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.840</td>\n",
       "      <td>11.810</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.127</td>\n",
       "      <td>8.507</td>\n",
       "      <td>8.262</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.085964</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>1981006115714214912</td>\n",
       "      <td>4.639077</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1669.537667</td>\n",
       "      <td>0.000062</td>\n",
       "      <td>1669.595054</td>\n",
       "      <td>0.000062</td>\n",
       "      <td>1669.576215</td>\n",
       "      <td>0.000062</td>\n",
       "      <td>11.459447</td>\n",
       "      <td>0.000258</td>\n",
       "      <td>12.449090</td>\n",
       "      <td>0.000603</td>\n",
       "      <td>10.484378</td>\n",
       "      <td>0.000210</td>\n",
       "      <td>0.493715</td>\n",
       "      <td>0.000640</td>\n",
       "      <td>0.603010</td>\n",
       "      <td>0.004914</td>\n",
       "      <td>0.404194</td>\n",
       "      <td>0.000903</td>\n",
       "      <td>0.235567</td>\n",
       "      <td>0.225101</td>\n",
       "      <td>0.331630</td>\n",
       "      <td>0.002610</td>\n",
       "      <td>0.175966</td>\n",
       "      <td>0.002169</td>\n",
       "      <td>4.651290</td>\n",
       "      <td>0.006022</td>\n",
       "      <td>2.695068</td>\n",
       "      <td>0.013990</td>\n",
       "      <td>35</td>\n",
       "      <td>28</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>102</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1998384927774603520</td>\n",
       "      <td>1998384927774603520</td>\n",
       "      <td>1603903592</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>359.111163</td>\n",
       "      <td>0.026366</td>\n",
       "      <td>58.026860</td>\n",
       "      <td>0.022367</td>\n",
       "      <td>0.250242</td>\n",
       "      <td>0.029614</td>\n",
       "      <td>8.450044</td>\n",
       "      <td>-2.135420</td>\n",
       "      <td>0.045970</td>\n",
       "      <td>-0.500836</td>\n",
       "      <td>0.037470</td>\n",
       "      <td>-0.222104</td>\n",
       "      <td>0.252306</td>\n",
       "      <td>-0.625461</td>\n",
       "      <td>0.250485</td>\n",
       "      <td>0.161458</td>\n",
       "      <td>0.192940</td>\n",
       "      <td>-0.469987</td>\n",
       "      <td>-0.168463</td>\n",
       "      <td>0.150264</td>\n",
       "      <td>-0.269904</td>\n",
       "      <td>319</td>\n",
       "      <td>319</td>\n",
       "      <td>310</td>\n",
       "      <td>9</td>\n",
       "      <td>6.477334</td>\n",
       "      <td>493.65942</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.609062e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>390.512150</td>\n",
       "      <td>1.436725</td>\n",
       "      <td>0.005795</td>\n",
       "      <td>-0.060273</td>\n",
       "      <td>36</td>\n",
       "      <td>17</td>\n",
       "      <td>0.037910</td>\n",
       "      <td>0</td>\n",
       "      <td>41</td>\n",
       "      <td>False</td>\n",
       "      <td>346</td>\n",
       "      <td>3.793204e+05</td>\n",
       "      <td>2.216219e+03</td>\n",
       "      <td>171.156570</td>\n",
       "      <td>11.740850</td>\n",
       "      <td>36</td>\n",
       "      <td>1.237894e+05</td>\n",
       "      <td>2.922815e+03</td>\n",
       "      <td>42.352790</td>\n",
       "      <td>12.619679</td>\n",
       "      <td>36</td>\n",
       "      <td>3.799780e+05</td>\n",
       "      <td>5.637347e+03</td>\n",
       "      <td>67.403690</td>\n",
       "      <td>10.812524</td>\n",
       "      <td>1.328079</td>\n",
       "      <td>0</td>\n",
       "      <td>1.807156</td>\n",
       "      <td>0.878829</td>\n",
       "      <td>0.928327</td>\n",
       "      <td>-39.734129</td>\n",
       "      <td>4.444650</td>\n",
       "      <td>7</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>115.684014</td>\n",
       "      <td>-4.068915</td>\n",
       "      <td>31.926356</td>\n",
       "      <td>51.404014</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3939.0076</td>\n",
       "      <td>3900.0000</td>\n",
       "      <td>4226.5900</td>\n",
       "      <td>0.5177</td>\n",
       "      <td>0.2059</td>\n",
       "      <td>0.8947</td>\n",
       "      <td>0.2750</td>\n",
       "      <td>0.1250</td>\n",
       "      <td>0.4421</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>43.760280</td>\n",
       "      <td>38.007866</td>\n",
       "      <td>44.640034</td>\n",
       "      <td>415.338470</td>\n",
       "      <td>336.16458</td>\n",
       "      <td>494.512360</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>124</td>\n",
       "      <td>V1206 Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6758</td>\n",
       "      <td>9.419</td>\n",
       "      <td>8.871</td>\n",
       "      <td>8.655</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.95</td>\n",
       "      <td>0.06</td>\n",
       "      <td>10239</td>\n",
       "      <td>432</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>359.11117</td>\n",
       "      <td>58.02688</td>\n",
       "      <td>0.074067</td>\n",
       "      <td>V* V1206 Cas</td>\n",
       "      <td>359.111181</td>\n",
       "      <td>58.026862</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>7</td>\n",
       "      <td>23 56 26.68338</td>\n",
       "      <td>+58 01 36.7028</td>\n",
       "      <td>V*</td>\n",
       "      <td>IR |*  |V* |V*</td>\n",
       "      <td>-39.730</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2502</td>\n",
       "      <td>-2.14</td>\n",
       "      <td>-0.50</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.920</td>\n",
       "      <td>11.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.501</td>\n",
       "      <td>8.934</td>\n",
       "      <td>8.712</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.033997</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>1998384927774603520</td>\n",
       "      <td>4.734808</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1684.790666</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>1684.776914</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>1722.774308</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>11.713051</td>\n",
       "      <td>0.000219</td>\n",
       "      <td>12.595622</td>\n",
       "      <td>0.000401</td>\n",
       "      <td>10.794562</td>\n",
       "      <td>0.000153</td>\n",
       "      <td>0.374378</td>\n",
       "      <td>0.000415</td>\n",
       "      <td>0.488892</td>\n",
       "      <td>0.001276</td>\n",
       "      <td>0.318797</td>\n",
       "      <td>0.000697</td>\n",
       "      <td>0.201731</td>\n",
       "      <td>0.225012</td>\n",
       "      <td>0.341504</td>\n",
       "      <td>0.001301</td>\n",
       "      <td>0.106842</td>\n",
       "      <td>0.001606</td>\n",
       "      <td>4.620283</td>\n",
       "      <td>0.011184</td>\n",
       "      <td>3.208003</td>\n",
       "      <td>0.012096</td>\n",
       "      <td>39</td>\n",
       "      <td>36</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>103</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 1999252442448732288</td>\n",
       "      <td>1999252442448732288</td>\n",
       "      <td>1545533946</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>358.029275</td>\n",
       "      <td>0.023707</td>\n",
       "      <td>58.741720</td>\n",
       "      <td>0.025711</td>\n",
       "      <td>0.319333</td>\n",
       "      <td>0.033476</td>\n",
       "      <td>9.539202</td>\n",
       "      <td>-2.998916</td>\n",
       "      <td>0.046559</td>\n",
       "      <td>-0.988249</td>\n",
       "      <td>0.047268</td>\n",
       "      <td>-0.120600</td>\n",
       "      <td>0.242463</td>\n",
       "      <td>-0.351790</td>\n",
       "      <td>0.089898</td>\n",
       "      <td>0.189502</td>\n",
       "      <td>-0.005010</td>\n",
       "      <td>-0.420036</td>\n",
       "      <td>-0.303805</td>\n",
       "      <td>0.140338</td>\n",
       "      <td>-0.213955</td>\n",
       "      <td>284</td>\n",
       "      <td>284</td>\n",
       "      <td>280</td>\n",
       "      <td>4</td>\n",
       "      <td>6.306051</td>\n",
       "      <td>450.05850</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.700041e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>254.018050</td>\n",
       "      <td>1.433114</td>\n",
       "      <td>0.005906</td>\n",
       "      <td>-0.060622</td>\n",
       "      <td>32</td>\n",
       "      <td>16</td>\n",
       "      <td>0.036480</td>\n",
       "      <td>0</td>\n",
       "      <td>39</td>\n",
       "      <td>False</td>\n",
       "      <td>329</td>\n",
       "      <td>3.344396e+06</td>\n",
       "      <td>3.617040e+04</td>\n",
       "      <td>92.462220</td>\n",
       "      <td>9.377571</td>\n",
       "      <td>37</td>\n",
       "      <td>1.073994e+06</td>\n",
       "      <td>4.972740e+04</td>\n",
       "      <td>21.597630</td>\n",
       "      <td>10.273884</td>\n",
       "      <td>35</td>\n",
       "      <td>3.145707e+06</td>\n",
       "      <td>8.153524e+04</td>\n",
       "      <td>38.580956</td>\n",
       "      <td>8.517624</td>\n",
       "      <td>1.261723</td>\n",
       "      <td>0</td>\n",
       "      <td>1.756260</td>\n",
       "      <td>0.896313</td>\n",
       "      <td>0.859947</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>115.287318</td>\n",
       "      <td>-3.246776</td>\n",
       "      <td>31.969148</td>\n",
       "      <td>52.316120</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4027.4070</td>\n",
       "      <td>3960.0000</td>\n",
       "      <td>4374.7700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>94.728830</td>\n",
       "      <td>80.282845</td>\n",
       "      <td>97.981220</td>\n",
       "      <td>2126.968800</td>\n",
       "      <td>1781.64500</td>\n",
       "      <td>2472.292500</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>112</td>\n",
       "      <td>RY Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0841</td>\n",
       "      <td>7.062</td>\n",
       "      <td>6.549</td>\n",
       "      <td>6.311</td>\n",
       "      <td>0.26</td>\n",
       "      <td>0.32</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.99</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9288</td>\n",
       "      <td>440</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>358.02931</td>\n",
       "      <td>58.74172</td>\n",
       "      <td>0.064675</td>\n",
       "      <td>V* RY Cas</td>\n",
       "      <td>358.029300</td>\n",
       "      <td>58.741724</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>99</td>\n",
       "      <td>23 52 07.03206</td>\n",
       "      <td>+58 44 30.2072</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |** |cC*|*  |IR</td>\n",
       "      <td>-84.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F9Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3193</td>\n",
       "      <td>-3.00</td>\n",
       "      <td>-0.99</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.320</td>\n",
       "      <td>9.950</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.215</td>\n",
       "      <td>6.685</td>\n",
       "      <td>6.487</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.048942</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>1999252442448732288</td>\n",
       "      <td>12.140613</td>\n",
       "      <td>0.000109</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1665.743263</td>\n",
       "      <td>0.000154</td>\n",
       "      <td>1666.277176</td>\n",
       "      <td>0.000154</td>\n",
       "      <td>1666.255973</td>\n",
       "      <td>0.000154</td>\n",
       "      <td>9.322016</td>\n",
       "      <td>0.000184</td>\n",
       "      <td>10.202135</td>\n",
       "      <td>0.000273</td>\n",
       "      <td>8.457022</td>\n",
       "      <td>0.000165</td>\n",
       "      <td>0.684370</td>\n",
       "      <td>0.000784</td>\n",
       "      <td>0.890640</td>\n",
       "      <td>0.001542</td>\n",
       "      <td>0.510382</td>\n",
       "      <td>0.000661</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.241211</td>\n",
       "      <td>0.000971</td>\n",
       "      <td>0.135341</td>\n",
       "      <td>0.001165</td>\n",
       "      <td>4.401450</td>\n",
       "      <td>0.005135</td>\n",
       "      <td>1.508023</td>\n",
       "      <td>0.007755</td>\n",
       "      <td>37</td>\n",
       "      <td>34</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>104</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2002637323358768000</td>\n",
       "      <td>2002637323358768000</td>\n",
       "      <td>1121409638</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>343.657058</td>\n",
       "      <td>0.015334</td>\n",
       "      <td>54.265450</td>\n",
       "      <td>0.014770</td>\n",
       "      <td>-0.003332</td>\n",
       "      <td>0.020462</td>\n",
       "      <td>-0.162856</td>\n",
       "      <td>-1.653801</td>\n",
       "      <td>0.030846</td>\n",
       "      <td>-0.475233</td>\n",
       "      <td>0.028319</td>\n",
       "      <td>0.031694</td>\n",
       "      <td>0.330131</td>\n",
       "      <td>-0.152847</td>\n",
       "      <td>-0.101284</td>\n",
       "      <td>0.293943</td>\n",
       "      <td>-0.194358</td>\n",
       "      <td>-0.117435</td>\n",
       "      <td>-0.311881</td>\n",
       "      <td>0.027693</td>\n",
       "      <td>-0.143376</td>\n",
       "      <td>258</td>\n",
       "      <td>9</td>\n",
       "      <td>255</td>\n",
       "      <td>3</td>\n",
       "      <td>0.441359</td>\n",
       "      <td>259.31580</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>105.085470</td>\n",
       "      <td>1.450164</td>\n",
       "      <td>0.003783</td>\n",
       "      <td>-0.124587</td>\n",
       "      <td>30</td>\n",
       "      <td>16</td>\n",
       "      <td>0.037834</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>False</td>\n",
       "      <td>276</td>\n",
       "      <td>7.594858e+04</td>\n",
       "      <td>1.157315e+03</td>\n",
       "      <td>65.624830</td>\n",
       "      <td>13.487066</td>\n",
       "      <td>31</td>\n",
       "      <td>2.773735e+04</td>\n",
       "      <td>1.430892e+03</td>\n",
       "      <td>19.384653</td>\n",
       "      <td>14.243726</td>\n",
       "      <td>30</td>\n",
       "      <td>7.300534e+04</td>\n",
       "      <td>3.126280e+03</td>\n",
       "      <td>23.352144</td>\n",
       "      <td>12.603534</td>\n",
       "      <td>1.326459</td>\n",
       "      <td>0</td>\n",
       "      <td>1.640192</td>\n",
       "      <td>0.756660</td>\n",
       "      <td>0.883533</td>\n",
       "      <td>-59.516013</td>\n",
       "      <td>12.042667</td>\n",
       "      <td>9</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>106.316448</td>\n",
       "      <td>-4.794416</td>\n",
       "      <td>17.071914</td>\n",
       "      <td>54.107559</td>\n",
       "      <td>110001.0</td>\n",
       "      <td>4300.3335</td>\n",
       "      <td>4155.6600</td>\n",
       "      <td>4427.6400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>224</td>\n",
       "      <td>FQ Lac</td>\n",
       "      <td>CEP:</td>\n",
       "      <td>1.0518</td>\n",
       "      <td>11.234</td>\n",
       "      <td>10.278</td>\n",
       "      <td>9.630</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.64</td>\n",
       "      <td>0.07</td>\n",
       "      <td>13114</td>\n",
       "      <td>413</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>343.65712</td>\n",
       "      <td>54.26550</td>\n",
       "      <td>0.223404</td>\n",
       "      <td>V* FQ Lac</td>\n",
       "      <td>343.657070</td>\n",
       "      <td>54.265452</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>11</td>\n",
       "      <td>22 54 37.69684</td>\n",
       "      <td>+54 15 55.6260</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |IR</td>\n",
       "      <td>-59.520</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.65</td>\n",
       "      <td>-0.48</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.047</td>\n",
       "      <td>10.276</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.026671</td>\n",
       "      <td>369295549951641967</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>1668.746285</td>\n",
       "      <td>0.000144</td>\n",
       "      <td>1668.856872</td>\n",
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       "      <td>0.001120</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>5.286182</td>\n",
       "      <td>0.002070</td>\n",
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       "      <td>30</td>\n",
       "      <td>30</td>\n",
       "      <td>28</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
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       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>105</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2003938801532007808</td>\n",
       "      <td>2003938801532007808</td>\n",
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       "      <td>56.321534</td>\n",
       "      <td>0.026849</td>\n",
       "      <td>0.436733</td>\n",
       "      <td>0.035124</td>\n",
       "      <td>12.434189</td>\n",
       "      <td>-3.344406</td>\n",
       "      <td>0.059664</td>\n",
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       "      <td>0.054887</td>\n",
       "      <td>-0.061461</td>\n",
       "      <td>0.046572</td>\n",
       "      <td>-0.128806</td>\n",
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       "      <td>0.323449</td>\n",
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       "      <td>-0.108304</td>\n",
       "      <td>-0.248633</td>\n",
       "      <td>-0.035723</td>\n",
       "      <td>-0.170221</td>\n",
       "      <td>233</td>\n",
       "      <td>233</td>\n",
       "      <td>230</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
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       "      <td>1.529875</td>\n",
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       "      <td>-0.093266</td>\n",
       "      <td>27</td>\n",
       "      <td>15</td>\n",
       "      <td>0.041900</td>\n",
       "      <td>0</td>\n",
       "      <td>33</td>\n",
       "      <td>True</td>\n",
       "      <td>279</td>\n",
       "      <td>5.954793e+06</td>\n",
       "      <td>6.135817e+04</td>\n",
       "      <td>97.049720</td>\n",
       "      <td>8.751199</td>\n",
       "      <td>31</td>\n",
       "      <td>2.679443e+06</td>\n",
       "      <td>1.143922e+05</td>\n",
       "      <td>23.423298</td>\n",
       "      <td>9.281277</td>\n",
       "      <td>33</td>\n",
       "      <td>5.091142e+06</td>\n",
       "      <td>1.415500e+05</td>\n",
       "      <td>35.967083</td>\n",
       "      <td>7.994882</td>\n",
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       "      <td>18.354710</td>\n",
       "      <td>56.209571</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4927.5000</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>51.046600</td>\n",
       "      <td>49.576980</td>\n",
       "      <td>54.722435</td>\n",
       "      <td>1383.996200</td>\n",
       "      <td>1214.03700</td>\n",
       "      <td>1553.955400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>226</td>\n",
       "      <td>V Lac</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6975</td>\n",
       "      <td>7.034</td>\n",
       "      <td>6.667</td>\n",
       "      <td>6.531</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.03</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.08</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8552</td>\n",
       "      <td>444</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>342.15832</td>\n",
       "      <td>56.32154</td>\n",
       "      <td>0.065251</td>\n",
       "      <td>V* V Lac</td>\n",
       "      <td>342.158315</td>\n",
       "      <td>56.321539</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>141</td>\n",
       "      <td>22 48 37.99571</td>\n",
       "      <td>+56 19 17.5402</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-24.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4367</td>\n",
       "      <td>-3.34</td>\n",
       "      <td>-1.27</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.720</td>\n",
       "      <td>8.890</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.097</td>\n",
       "      <td>6.645</td>\n",
       "      <td>6.537</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.055432</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2003938801532007808</td>\n",
       "      <td>4.983296</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1684.035863</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>1719.008631</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>1719.068459</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>8.609111</td>\n",
       "      <td>0.000317</td>\n",
       "      <td>9.150236</td>\n",
       "      <td>0.000750</td>\n",
       "      <td>7.942175</td>\n",
       "      <td>0.000435</td>\n",
       "      <td>0.803184</td>\n",
       "      <td>0.000768</td>\n",
       "      <td>1.028009</td>\n",
       "      <td>0.002375</td>\n",
       "      <td>0.669344</td>\n",
       "      <td>0.001824</td>\n",
       "      <td>0.013193</td>\n",
       "      <td>0.225002</td>\n",
       "      <td>0.396522</td>\n",
       "      <td>0.001167</td>\n",
       "      <td>0.193886</td>\n",
       "      <td>0.000839</td>\n",
       "      <td>4.383970</td>\n",
       "      <td>0.002066</td>\n",
       "      <td>2.438506</td>\n",
       "      <td>0.006364</td>\n",
       "      <td>30</td>\n",
       "      <td>23</td>\n",
       "      <td>23</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>106</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2004036486267748352</td>\n",
       "      <td>2004036486267748352</td>\n",
       "      <td>938645367</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>342.263228</td>\n",
       "      <td>0.028925</td>\n",
       "      <td>56.428197</td>\n",
       "      <td>0.031774</td>\n",
       "      <td>0.495691</td>\n",
       "      <td>0.038217</td>\n",
       "      <td>12.970286</td>\n",
       "      <td>-3.254334</td>\n",
       "      <td>0.061330</td>\n",
       "      <td>-1.423701</td>\n",
       "      <td>0.060366</td>\n",
       "      <td>-0.123819</td>\n",
       "      <td>0.114012</td>\n",
       "      <td>-0.205819</td>\n",
       "      <td>-0.103896</td>\n",
       "      <td>0.267197</td>\n",
       "      <td>-0.177813</td>\n",
       "      <td>-0.056476</td>\n",
       "      <td>-0.216436</td>\n",
       "      <td>0.101723</td>\n",
       "      <td>-0.179561</td>\n",
       "      <td>232</td>\n",
       "      <td>232</td>\n",
       "      <td>231</td>\n",
       "      <td>1</td>\n",
       "      <td>1.724696</td>\n",
       "      <td>263.94632</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>110.092550</td>\n",
       "      <td>1.531857</td>\n",
       "      <td>0.008756</td>\n",
       "      <td>-0.124285</td>\n",
       "      <td>27</td>\n",
       "      <td>16</td>\n",
       "      <td>0.043304</td>\n",
       "      <td>0</td>\n",
       "      <td>33</td>\n",
       "      <td>False</td>\n",
       "      <td>278</td>\n",
       "      <td>1.052694e+07</td>\n",
       "      <td>6.801741e+04</td>\n",
       "      <td>154.768340</td>\n",
       "      <td>8.132610</td>\n",
       "      <td>30</td>\n",
       "      <td>4.562147e+06</td>\n",
       "      <td>1.138848e+05</td>\n",
       "      <td>40.059307</td>\n",
       "      <td>8.703465</td>\n",
       "      <td>30</td>\n",
       "      <td>8.442970e+06</td>\n",
       "      <td>1.396368e+05</td>\n",
       "      <td>60.463768</td>\n",
       "      <td>7.445682</td>\n",
       "      <td>1.235413</td>\n",
       "      <td>0</td>\n",
       "      <td>1.257783</td>\n",
       "      <td>0.570855</td>\n",
       "      <td>0.686928</td>\n",
       "      <td>-23.301080</td>\n",
       "      <td>2.878408</td>\n",
       "      <td>14</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>106.568520</td>\n",
       "      <td>-2.504927</td>\n",
       "      <td>18.561968</td>\n",
       "      <td>56.248048</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4845.5750</td>\n",
       "      <td>4733.2026</td>\n",
       "      <td>5025.2700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>62.476120</td>\n",
       "      <td>58.087933</td>\n",
       "      <td>65.477870</td>\n",
       "      <td>1938.671100</td>\n",
       "      <td>1716.78920</td>\n",
       "      <td>2160.553000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>228</td>\n",
       "      <td>X Lac</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.7360</td>\n",
       "      <td>6.492</td>\n",
       "      <td>6.139</td>\n",
       "      <td>5.969</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.40</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8676</td>\n",
       "      <td>442</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>342.26325</td>\n",
       "      <td>56.42820</td>\n",
       "      <td>0.046065</td>\n",
       "      <td>V* X Lac</td>\n",
       "      <td>342.263253</td>\n",
       "      <td>56.428203</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>147</td>\n",
       "      <td>22 49 03.18069</td>\n",
       "      <td>+56 25 41.5309</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-25.100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4957</td>\n",
       "      <td>-3.25</td>\n",
       "      <td>-1.42</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.210</td>\n",
       "      <td>8.420</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.389</td>\n",
       "      <td>6.069</td>\n",
       "      <td>5.952</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.055058</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2004036486267748352</td>\n",
       "      <td>5.445651</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1680.469158</td>\n",
       "      <td>0.000062</td>\n",
       "      <td>1680.331348</td>\n",
       "      <td>0.000062</td>\n",
       "      <td>1680.348725</td>\n",
       "      <td>0.000062</td>\n",
       "      <td>8.085596</td>\n",
       "      <td>0.000106</td>\n",
       "      <td>8.633655</td>\n",
       "      <td>0.000249</td>\n",
       "      <td>7.410039</td>\n",
       "      <td>0.000224</td>\n",
       "      <td>0.348294</td>\n",
       "      <td>0.000422</td>\n",
       "      <td>0.460752</td>\n",
       "      <td>0.000959</td>\n",
       "      <td>0.272409</td>\n",
       "      <td>0.000726</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.193875</td>\n",
       "      <td>0.001541</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.547556</td>\n",
       "      <td>0.006446</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>27</td>\n",
       "      <td>26</td>\n",
       "      <td>28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>107</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2005011237689458688</td>\n",
       "      <td>2005011237689458688</td>\n",
       "      <td>45624118</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>335.319950</td>\n",
       "      <td>0.028987</td>\n",
       "      <td>54.532044</td>\n",
       "      <td>0.028252</td>\n",
       "      <td>0.171788</td>\n",
       "      <td>0.035233</td>\n",
       "      <td>4.875830</td>\n",
       "      <td>-3.013012</td>\n",
       "      <td>0.052641</td>\n",
       "      <td>-2.696329</td>\n",
       "      <td>0.046991</td>\n",
       "      <td>0.187151</td>\n",
       "      <td>0.408920</td>\n",
       "      <td>-0.422190</td>\n",
       "      <td>-0.109074</td>\n",
       "      <td>0.417816</td>\n",
       "      <td>-0.275936</td>\n",
       "      <td>-0.099041</td>\n",
       "      <td>-0.285130</td>\n",
       "      <td>0.059608</td>\n",
       "      <td>-0.110551</td>\n",
       "      <td>215</td>\n",
       "      <td>215</td>\n",
       "      <td>206</td>\n",
       "      <td>9</td>\n",
       "      <td>5.606354</td>\n",
       "      <td>334.72570</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>460.697880</td>\n",
       "      <td>1.439966</td>\n",
       "      <td>0.007905</td>\n",
       "      <td>-0.011024</td>\n",
       "      <td>24</td>\n",
       "      <td>15</td>\n",
       "      <td>0.038485</td>\n",
       "      <td>0</td>\n",
       "      <td>41</td>\n",
       "      <td>False</td>\n",
       "      <td>338</td>\n",
       "      <td>4.680635e+05</td>\n",
       "      <td>3.865266e+03</td>\n",
       "      <td>121.094770</td>\n",
       "      <td>11.512604</td>\n",
       "      <td>37</td>\n",
       "      <td>1.721689e+05</td>\n",
       "      <td>5.516958e+03</td>\n",
       "      <td>31.207224</td>\n",
       "      <td>12.261501</td>\n",
       "      <td>36</td>\n",
       "      <td>4.240801e+05</td>\n",
       "      <td>8.296103e+03</td>\n",
       "      <td>51.117985</td>\n",
       "      <td>10.693300</td>\n",
       "      <td>1.273864</td>\n",
       "      <td>0</td>\n",
       "      <td>1.568201</td>\n",
       "      <td>0.748898</td>\n",
       "      <td>0.819303</td>\n",
       "      <td>-73.655976</td>\n",
       "      <td>4.089006</td>\n",
       "      <td>8</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>102.211582</td>\n",
       "      <td>-2.184060</td>\n",
       "      <td>10.915126</td>\n",
       "      <td>57.523181</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4281.4520</td>\n",
       "      <td>4137.6070</td>\n",
       "      <td>4483.8750</td>\n",
       "      <td>0.6190</td>\n",
       "      <td>0.1250</td>\n",
       "      <td>1.4731</td>\n",
       "      <td>0.2957</td>\n",
       "      <td>0.0629</td>\n",
       "      <td>0.7818</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>223</td>\n",
       "      <td>DF Lac</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6512</td>\n",
       "      <td>9.429</td>\n",
       "      <td>9.054</td>\n",
       "      <td>8.848</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.01</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.20</td>\n",
       "      <td>0.07</td>\n",
       "      <td>9834</td>\n",
       "      <td>415</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>335.31996</td>\n",
       "      <td>54.53203</td>\n",
       "      <td>0.056064</td>\n",
       "      <td>V* DF Lac</td>\n",
       "      <td>335.319972</td>\n",
       "      <td>54.532056</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>28</td>\n",
       "      <td>22 21 16.79336</td>\n",
       "      <td>+54 31 55.4018</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-73.660</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6Ibp</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1718</td>\n",
       "      <td>-3.01</td>\n",
       "      <td>-2.70</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.080</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.549</td>\n",
       "      <td>9.153</td>\n",
       "      <td>8.944</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.062671</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2005011237689458688</td>\n",
       "      <td>4.479437</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1680.071296</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>1680.054915</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>1680.089378</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>11.444101</td>\n",
       "      <td>0.000157</td>\n",
       "      <td>12.155749</td>\n",
       "      <td>0.000380</td>\n",
       "      <td>10.632093</td>\n",
       "      <td>0.000235</td>\n",
       "      <td>0.512275</td>\n",
       "      <td>0.000543</td>\n",
       "      <td>0.656069</td>\n",
       "      <td>0.001489</td>\n",
       "      <td>0.407450</td>\n",
       "      <td>0.000907</td>\n",
       "      <td>0.049640</td>\n",
       "      <td>0.225042</td>\n",
       "      <td>0.385886</td>\n",
       "      <td>0.001659</td>\n",
       "      <td>0.158726</td>\n",
       "      <td>0.000832</td>\n",
       "      <td>4.437344</td>\n",
       "      <td>0.003452</td>\n",
       "      <td>2.403558</td>\n",
       "      <td>0.008190</td>\n",
       "      <td>38</td>\n",
       "      <td>35</td>\n",
       "      <td>33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>108</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2006989121667184384</td>\n",
       "      <td>2006989121667184384</td>\n",
       "      <td>318963330</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>340.360496</td>\n",
       "      <td>0.026287</td>\n",
       "      <td>56.432773</td>\n",
       "      <td>0.027668</td>\n",
       "      <td>0.323025</td>\n",
       "      <td>0.032964</td>\n",
       "      <td>9.799307</td>\n",
       "      <td>-3.633249</td>\n",
       "      <td>0.053504</td>\n",
       "      <td>-3.073999</td>\n",
       "      <td>0.054105</td>\n",
       "      <td>-0.074593</td>\n",
       "      <td>0.223228</td>\n",
       "      <td>-0.263884</td>\n",
       "      <td>-0.059555</td>\n",
       "      <td>0.141032</td>\n",
       "      <td>-0.121077</td>\n",
       "      <td>-0.269046</td>\n",
       "      <td>-0.214597</td>\n",
       "      <td>0.117118</td>\n",
       "      <td>-0.150032</td>\n",
       "      <td>239</td>\n",
       "      <td>239</td>\n",
       "      <td>237</td>\n",
       "      <td>2</td>\n",
       "      <td>5.461946</td>\n",
       "      <td>369.75280</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>196.627100</td>\n",
       "      <td>1.515626</td>\n",
       "      <td>0.008189</td>\n",
       "      <td>-0.101942</td>\n",
       "      <td>27</td>\n",
       "      <td>17</td>\n",
       "      <td>0.039701</td>\n",
       "      <td>0</td>\n",
       "      <td>33</td>\n",
       "      <td>False</td>\n",
       "      <td>284</td>\n",
       "      <td>6.207095e+06</td>\n",
       "      <td>5.506697e+04</td>\n",
       "      <td>112.719020</td>\n",
       "      <td>8.706144</td>\n",
       "      <td>30</td>\n",
       "      <td>2.739171e+06</td>\n",
       "      <td>9.855362e+04</td>\n",
       "      <td>27.793710</td>\n",
       "      <td>9.257340</td>\n",
       "      <td>30</td>\n",
       "      <td>5.157976e+06</td>\n",
       "      <td>1.109011e+05</td>\n",
       "      <td>46.509686</td>\n",
       "      <td>7.980721</td>\n",
       "      <td>1.272277</td>\n",
       "      <td>0</td>\n",
       "      <td>1.276619</td>\n",
       "      <td>0.551196</td>\n",
       "      <td>0.725423</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>105.639068</td>\n",
       "      <td>-2.010605</td>\n",
       "      <td>17.174226</td>\n",
       "      <td>56.971715</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4775.8237</td>\n",
       "      <td>4698.6553</td>\n",
       "      <td>4939.5000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>76.517540</td>\n",
       "      <td>71.530556</td>\n",
       "      <td>79.051560</td>\n",
       "      <td>2744.162800</td>\n",
       "      <td>2308.55830</td>\n",
       "      <td>3179.767300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>225</td>\n",
       "      <td>RR Lac</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8073</td>\n",
       "      <td>6.967</td>\n",
       "      <td>6.620</td>\n",
       "      <td>6.468</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.01</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.40</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8647</td>\n",
       "      <td>442</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>340.36053</td>\n",
       "      <td>56.43279</td>\n",
       "      <td>0.091532</td>\n",
       "      <td>V* RR Lac</td>\n",
       "      <td>340.360524</td>\n",
       "      <td>56.432786</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>149</td>\n",
       "      <td>22 41 26.52586</td>\n",
       "      <td>+56 25 58.0297</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-38.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>K0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3230</td>\n",
       "      <td>-3.63</td>\n",
       "      <td>-3.07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.680</td>\n",
       "      <td>8.870</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.137</td>\n",
       "      <td>6.713</td>\n",
       "      <td>6.576</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.073768</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2006989121667184384</td>\n",
       "      <td>6.418959</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1676.167373</td>\n",
       "      <td>0.000032</td>\n",
       "      <td>1682.410311</td>\n",
       "      <td>0.000032</td>\n",
       "      <td>1676.164232</td>\n",
       "      <td>0.000032</td>\n",
       "      <td>8.545705</td>\n",
       "      <td>0.000156</td>\n",
       "      <td>9.092931</td>\n",
       "      <td>0.000374</td>\n",
       "      <td>7.889010</td>\n",
       "      <td>0.000362</td>\n",
       "      <td>0.611052</td>\n",
       "      <td>0.000602</td>\n",
       "      <td>0.764748</td>\n",
       "      <td>0.001422</td>\n",
       "      <td>0.436998</td>\n",
       "      <td>0.001476</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.313393</td>\n",
       "      <td>0.000764</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.596783</td>\n",
       "      <td>0.001845</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>32</td>\n",
       "      <td>29</td>\n",
       "      <td>29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>109</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2007201567928631296</td>\n",
       "      <td>2007201567928631296</td>\n",
       "      <td>985779579</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>340.217243</td>\n",
       "      <td>0.030454</td>\n",
       "      <td>56.829456</td>\n",
       "      <td>0.032796</td>\n",
       "      <td>0.457508</td>\n",
       "      <td>0.038275</td>\n",
       "      <td>11.953077</td>\n",
       "      <td>-3.917988</td>\n",
       "      <td>0.060041</td>\n",
       "      <td>-2.695574</td>\n",
       "      <td>0.069349</td>\n",
       "      <td>-0.000465</td>\n",
       "      <td>0.378512</td>\n",
       "      <td>-0.318980</td>\n",
       "      <td>-0.033989</td>\n",
       "      <td>0.270999</td>\n",
       "      <td>0.013797</td>\n",
       "      <td>-0.359972</td>\n",
       "      <td>-0.107976</td>\n",
       "      <td>-0.184228</td>\n",
       "      <td>-0.231845</td>\n",
       "      <td>231</td>\n",
       "      <td>231</td>\n",
       "      <td>229</td>\n",
       "      <td>2</td>\n",
       "      <td>6.743878</td>\n",
       "      <td>398.22852</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.884341e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>88.258530</td>\n",
       "      <td>1.481563</td>\n",
       "      <td>0.008667</td>\n",
       "      <td>-0.001391</td>\n",
       "      <td>26</td>\n",
       "      <td>15</td>\n",
       "      <td>0.048305</td>\n",
       "      <td>0</td>\n",
       "      <td>34</td>\n",
       "      <td>False</td>\n",
       "      <td>270</td>\n",
       "      <td>3.130468e+06</td>\n",
       "      <td>2.935776e+05</td>\n",
       "      <td>10.663171</td>\n",
       "      <td>9.449343</td>\n",
       "      <td>27</td>\n",
       "      <td>4.038691e+06</td>\n",
       "      <td>2.169126e+05</td>\n",
       "      <td>18.618977</td>\n",
       "      <td>8.835787</td>\n",
       "      <td>30</td>\n",
       "      <td>8.774517e+06</td>\n",
       "      <td>2.236111e+05</td>\n",
       "      <td>39.240080</td>\n",
       "      <td>7.403862</td>\n",
       "      <td>4.093065</td>\n",
       "      <td>0</td>\n",
       "      <td>1.431925</td>\n",
       "      <td>-0.613556</td>\n",
       "      <td>2.045481</td>\n",
       "      <td>-37.704798</td>\n",
       "      <td>4.327853</td>\n",
       "      <td>13</td>\n",
       "      <td>4500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>105.760131</td>\n",
       "      <td>-1.624698</td>\n",
       "      <td>17.573789</td>\n",
       "      <td>57.313142</td>\n",
       "      <td>102011.0</td>\n",
       "      <td>5095.6333</td>\n",
       "      <td>4284.4497</td>\n",
       "      <td>6938.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>230</td>\n",
       "      <td>Z Lac</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0369</td>\n",
       "      <td>6.210</td>\n",
       "      <td>5.804</td>\n",
       "      <td>5.630</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.27</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8603</td>\n",
       "      <td>443</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>340.21727</td>\n",
       "      <td>56.82947</td>\n",
       "      <td>0.073529</td>\n",
       "      <td>V* Z Lac</td>\n",
       "      <td>340.217273</td>\n",
       "      <td>56.829468</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>197</td>\n",
       "      <td>22 40 52.14561</td>\n",
       "      <td>+56 49 46.0840</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR |SB*</td>\n",
       "      <td>-31.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4575</td>\n",
       "      <td>-3.92</td>\n",
       "      <td>-2.70</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.710</td>\n",
       "      <td>8.570</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.127</td>\n",
       "      <td>5.734</td>\n",
       "      <td>5.594</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.073713</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2007201567928631296</td>\n",
       "      <td>10.884385</td>\n",
       "      <td>0.000091</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1673.082247</td>\n",
       "      <td>0.000129</td>\n",
       "      <td>1672.490943</td>\n",
       "      <td>0.000129</td>\n",
       "      <td>1673.285595</td>\n",
       "      <td>0.000129</td>\n",
       "      <td>8.042280</td>\n",
       "      <td>0.000137</td>\n",
       "      <td>8.697618</td>\n",
       "      <td>0.000594</td>\n",
       "      <td>7.284642</td>\n",
       "      <td>0.000268</td>\n",
       "      <td>0.596323</td>\n",
       "      <td>0.000480</td>\n",
       "      <td>0.937060</td>\n",
       "      <td>0.001975</td>\n",
       "      <td>0.475093</td>\n",
       "      <td>0.000816</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>29</td>\n",
       "      <td>27</td>\n",
       "      <td>29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>110</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2007997408188526336</td>\n",
       "      <td>2007997408188526336</td>\n",
       "      <td>787722127</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>337.208674</td>\n",
       "      <td>0.025583</td>\n",
       "      <td>58.210933</td>\n",
       "      <td>0.026892</td>\n",
       "      <td>0.264774</td>\n",
       "      <td>0.035311</td>\n",
       "      <td>7.498450</td>\n",
       "      <td>-3.131723</td>\n",
       "      <td>0.058865</td>\n",
       "      <td>-2.512946</td>\n",
       "      <td>0.051240</td>\n",
       "      <td>-0.062445</td>\n",
       "      <td>0.022034</td>\n",
       "      <td>0.072953</td>\n",
       "      <td>-0.203366</td>\n",
       "      <td>0.434851</td>\n",
       "      <td>-0.364633</td>\n",
       "      <td>0.026534</td>\n",
       "      <td>-0.495053</td>\n",
       "      <td>0.077843</td>\n",
       "      <td>-0.153449</td>\n",
       "      <td>255</td>\n",
       "      <td>255</td>\n",
       "      <td>252</td>\n",
       "      <td>3</td>\n",
       "      <td>8.355872</td>\n",
       "      <td>482.11240</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>276.868100</td>\n",
       "      <td>1.431520</td>\n",
       "      <td>0.006000</td>\n",
       "      <td>-0.002735</td>\n",
       "      <td>30</td>\n",
       "      <td>15</td>\n",
       "      <td>0.042379</td>\n",
       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>False</td>\n",
       "      <td>298</td>\n",
       "      <td>1.000591e+06</td>\n",
       "      <td>7.843329e+03</td>\n",
       "      <td>127.572270</td>\n",
       "      <td>10.687724</td>\n",
       "      <td>30</td>\n",
       "      <td>3.273993e+05</td>\n",
       "      <td>1.068215e+04</td>\n",
       "      <td>30.649200</td>\n",
       "      <td>11.563694</td>\n",
       "      <td>31</td>\n",
       "      <td>9.786143e+05</td>\n",
       "      <td>1.898662e+04</td>\n",
       "      <td>51.542305</td>\n",
       "      <td>9.785391</td>\n",
       "      <td>1.305242</td>\n",
       "      <td>0</td>\n",
       "      <td>1.778303</td>\n",
       "      <td>0.875970</td>\n",
       "      <td>0.902333</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>105.050677</td>\n",
       "      <td>0.378790</td>\n",
       "      <td>17.258350</td>\n",
       "      <td>59.432067</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4208.8250</td>\n",
       "      <td>4090.6077</td>\n",
       "      <td>4347.3600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>54.183690</td>\n",
       "      <td>50.785435</td>\n",
       "      <td>57.360733</td>\n",
       "      <td>829.994900</td>\n",
       "      <td>661.73175</td>\n",
       "      <td>998.258000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>149</td>\n",
       "      <td>AK Cep</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8593</td>\n",
       "      <td>8.400</td>\n",
       "      <td>7.896</td>\n",
       "      <td>7.703</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.66</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9420</td>\n",
       "      <td>426</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>337.20869</td>\n",
       "      <td>58.21095</td>\n",
       "      <td>0.068659</td>\n",
       "      <td>V* AK Cep</td>\n",
       "      <td>337.208699</td>\n",
       "      <td>58.210944</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>66</td>\n",
       "      <td>22 28 50.08787</td>\n",
       "      <td>+58 12 39.3975</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-55.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2648</td>\n",
       "      <td>-3.13</td>\n",
       "      <td>-2.51</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.530</td>\n",
       "      <td>13.170</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.463</td>\n",
       "      <td>7.888</td>\n",
       "      <td>7.700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.062237</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2007997408188526336</td>\n",
       "      <td>7.232134</td>\n",
       "      <td>0.000065</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1679.061846</td>\n",
       "      <td>0.000093</td>\n",
       "      <td>1678.973992</td>\n",
       "      <td>0.000093</td>\n",
       "      <td>1679.053361</td>\n",
       "      <td>0.000093</td>\n",
       "      <td>10.623208</td>\n",
       "      <td>0.000219</td>\n",
       "      <td>11.454920</td>\n",
       "      <td>0.000657</td>\n",
       "      <td>9.736941</td>\n",
       "      <td>0.001901</td>\n",
       "      <td>0.494205</td>\n",
       "      <td>0.000996</td>\n",
       "      <td>0.674179</td>\n",
       "      <td>0.001238</td>\n",
       "      <td>0.397324</td>\n",
       "      <td>0.006715</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.372319</td>\n",
       "      <td>0.001709</td>\n",
       "      <td>0.093846</td>\n",
       "      <td>0.001834</td>\n",
       "      <td>4.898295</td>\n",
       "      <td>0.004491</td>\n",
       "      <td>2.958908</td>\n",
       "      <td>0.018481</td>\n",
       "      <td>28</td>\n",
       "      <td>25</td>\n",
       "      <td>25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>111</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2008504454839717120</td>\n",
       "      <td>2008504454839717120</td>\n",
       "      <td>481789051</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>341.603176</td>\n",
       "      <td>0.026653</td>\n",
       "      <td>59.442188</td>\n",
       "      <td>0.024009</td>\n",
       "      <td>0.679482</td>\n",
       "      <td>0.030348</td>\n",
       "      <td>22.389774</td>\n",
       "      <td>-4.112812</td>\n",
       "      <td>0.051360</td>\n",
       "      <td>-2.956045</td>\n",
       "      <td>0.041841</td>\n",
       "      <td>-0.157757</td>\n",
       "      <td>0.108369</td>\n",
       "      <td>-0.495660</td>\n",
       "      <td>0.155659</td>\n",
       "      <td>0.255504</td>\n",
       "      <td>0.062085</td>\n",
       "      <td>-0.286769</td>\n",
       "      <td>-0.306538</td>\n",
       "      <td>0.092792</td>\n",
       "      <td>-0.189720</td>\n",
       "      <td>259</td>\n",
       "      <td>259</td>\n",
       "      <td>253</td>\n",
       "      <td>6</td>\n",
       "      <td>7.867826</td>\n",
       "      <td>466.71616</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>262.775360</td>\n",
       "      <td>1.439821</td>\n",
       "      <td>0.006514</td>\n",
       "      <td>-0.093715</td>\n",
       "      <td>29</td>\n",
       "      <td>17</td>\n",
       "      <td>0.039343</td>\n",
       "      <td>0</td>\n",
       "      <td>34</td>\n",
       "      <td>False</td>\n",
       "      <td>292</td>\n",
       "      <td>4.647865e+06</td>\n",
       "      <td>2.326542e+04</td>\n",
       "      <td>199.775670</td>\n",
       "      <td>9.020232</td>\n",
       "      <td>31</td>\n",
       "      <td>1.473193e+06</td>\n",
       "      <td>3.226670e+04</td>\n",
       "      <td>45.656757</td>\n",
       "      <td>9.930739</td>\n",
       "      <td>33</td>\n",
       "      <td>4.665759e+06</td>\n",
       "      <td>5.740299e+04</td>\n",
       "      <td>81.280770</td>\n",
       "      <td>8.089614</td>\n",
       "      <td>1.320811</td>\n",
       "      <td>0</td>\n",
       "      <td>1.841126</td>\n",
       "      <td>0.910507</td>\n",
       "      <td>0.930618</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>107.636226</td>\n",
       "      <td>0.335377</td>\n",
       "      <td>22.041728</td>\n",
       "      <td>58.636552</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4196.7700</td>\n",
       "      <td>4026.8066</td>\n",
       "      <td>4428.3774</td>\n",
       "      <td>0.7835</td>\n",
       "      <td>0.3783</td>\n",
       "      <td>1.7638</td>\n",
       "      <td>0.4040</td>\n",
       "      <td>0.1880</td>\n",
       "      <td>0.8648</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>45.919670</td>\n",
       "      <td>41.242012</td>\n",
       "      <td>49.877830</td>\n",
       "      <td>589.322300</td>\n",
       "      <td>547.19434</td>\n",
       "      <td>631.450300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>152</td>\n",
       "      <td>CR Cep</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7947</td>\n",
       "      <td>6.641</td>\n",
       "      <td>6.097</td>\n",
       "      <td>5.873</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>0.00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.57</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8424</td>\n",
       "      <td>447</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>341.60321</td>\n",
       "      <td>59.44220</td>\n",
       "      <td>0.076463</td>\n",
       "      <td>V* CR Cep</td>\n",
       "      <td>341.603211</td>\n",
       "      <td>59.442201</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>76</td>\n",
       "      <td>22 46 24.77052</td>\n",
       "      <td>+59 26 31.9222</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-31.900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.6795</td>\n",
       "      <td>-4.11</td>\n",
       "      <td>-2.96</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.940</td>\n",
       "      <td>9.640</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.568</td>\n",
       "      <td>6.018</td>\n",
       "      <td>5.832</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.078506</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2008504454839717120</td>\n",
       "      <td>6.233971</td>\n",
       "      <td>0.000057</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1682.765554</td>\n",
       "      <td>0.000081</td>\n",
       "      <td>1682.781106</td>\n",
       "      <td>0.000081</td>\n",
       "      <td>1682.868360</td>\n",
       "      <td>0.000081</td>\n",
       "      <td>9.000594</td>\n",
       "      <td>0.000150</td>\n",
       "      <td>9.920528</td>\n",
       "      <td>0.000385</td>\n",
       "      <td>8.075958</td>\n",
       "      <td>0.000254</td>\n",
       "      <td>0.297849</td>\n",
       "      <td>0.000537</td>\n",
       "      <td>0.391050</td>\n",
       "      <td>0.001026</td>\n",
       "      <td>0.250178</td>\n",
       "      <td>0.000761</td>\n",
       "      <td>0.456902</td>\n",
       "      <td>0.233871</td>\n",
       "      <td>0.272061</td>\n",
       "      <td>0.002140</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.923626</td>\n",
       "      <td>0.006310</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>31</td>\n",
       "      <td>27</td>\n",
       "      <td>29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>112</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2010134274671099264</td>\n",
       "      <td>2010134274671099264</td>\n",
       "      <td>73992385</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>345.338007</td>\n",
       "      <td>0.023376</td>\n",
       "      <td>57.867017</td>\n",
       "      <td>0.020822</td>\n",
       "      <td>0.254465</td>\n",
       "      <td>0.027676</td>\n",
       "      <td>9.194577</td>\n",
       "      <td>-3.911111</td>\n",
       "      <td>0.045017</td>\n",
       "      <td>-2.369811</td>\n",
       "      <td>0.038890</td>\n",
       "      <td>0.028859</td>\n",
       "      <td>0.292716</td>\n",
       "      <td>-0.394139</td>\n",
       "      <td>0.066645</td>\n",
       "      <td>0.097266</td>\n",
       "      <td>0.026120</td>\n",
       "      <td>-0.157296</td>\n",
       "      <td>-0.171330</td>\n",
       "      <td>0.197548</td>\n",
       "      <td>0.107127</td>\n",
       "      <td>292</td>\n",
       "      <td>292</td>\n",
       "      <td>282</td>\n",
       "      <td>10</td>\n",
       "      <td>9.962905</td>\n",
       "      <td>582.80100</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>414.967560</td>\n",
       "      <td>1.439121</td>\n",
       "      <td>0.005626</td>\n",
       "      <td>-0.013754</td>\n",
       "      <td>33</td>\n",
       "      <td>18</td>\n",
       "      <td>0.034104</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>False</td>\n",
       "      <td>308</td>\n",
       "      <td>4.669518e+05</td>\n",
       "      <td>2.823597e+03</td>\n",
       "      <td>165.374830</td>\n",
       "      <td>11.515185</td>\n",
       "      <td>32</td>\n",
       "      <td>1.607932e+05</td>\n",
       "      <td>3.818494e+03</td>\n",
       "      <td>42.109060</td>\n",
       "      <td>12.335719</td>\n",
       "      <td>32</td>\n",
       "      <td>4.465594e+05</td>\n",
       "      <td>6.987535e+03</td>\n",
       "      <td>63.907997</td>\n",
       "      <td>10.637222</td>\n",
       "      <td>1.300675</td>\n",
       "      <td>0</td>\n",
       "      <td>1.698497</td>\n",
       "      <td>0.820534</td>\n",
       "      <td>0.877963</td>\n",
       "      <td>-71.827585</td>\n",
       "      <td>5.981310</td>\n",
       "      <td>5</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>108.696070</td>\n",
       "      <td>-1.929522</td>\n",
       "      <td>22.517499</td>\n",
       "      <td>56.149179</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4103.7830</td>\n",
       "      <td>3970.4400</td>\n",
       "      <td>4251.0000</td>\n",
       "      <td>0.4482</td>\n",
       "      <td>0.0859</td>\n",
       "      <td>1.6635</td>\n",
       "      <td>0.1977</td>\n",
       "      <td>0.0340</td>\n",
       "      <td>0.9064</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>41.760147</td>\n",
       "      <td>38.917830</td>\n",
       "      <td>44.612194</td>\n",
       "      <td>445.611480</td>\n",
       "      <td>365.67386</td>\n",
       "      <td>525.549130</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>125</td>\n",
       "      <td>V342 Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5933</td>\n",
       "      <td>9.010</td>\n",
       "      <td>8.510</td>\n",
       "      <td>8.327</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.40</td>\n",
       "      <td>0.06</td>\n",
       "      <td>9355</td>\n",
       "      <td>433</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>345.33808</td>\n",
       "      <td>57.86703</td>\n",
       "      <td>0.148059</td>\n",
       "      <td>V* V342 Cas</td>\n",
       "      <td>345.338039</td>\n",
       "      <td>57.867027</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>22</td>\n",
       "      <td>23 01 21.12924</td>\n",
       "      <td>+57 52 01.2968</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-71.830</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2545</td>\n",
       "      <td>-3.91</td>\n",
       "      <td>-2.37</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.320</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.232</td>\n",
       "      <td>8.701</td>\n",
       "      <td>8.513</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.070882</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2010134274671099264</td>\n",
       "      <td>3.919210</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1685.627555</td>\n",
       "      <td>0.000027</td>\n",
       "      <td>1685.442631</td>\n",
       "      <td>0.000027</td>\n",
       "      <td>1685.477706</td>\n",
       "      <td>0.000027</td>\n",
       "      <td>11.491833</td>\n",
       "      <td>0.000170</td>\n",
       "      <td>12.301356</td>\n",
       "      <td>0.000362</td>\n",
       "      <td>10.615376</td>\n",
       "      <td>0.000207</td>\n",
       "      <td>0.379032</td>\n",
       "      <td>0.000835</td>\n",
       "      <td>0.523038</td>\n",
       "      <td>0.001208</td>\n",
       "      <td>0.341476</td>\n",
       "      <td>0.000764</td>\n",
       "      <td>0.302848</td>\n",
       "      <td>0.219804</td>\n",
       "      <td>0.300403</td>\n",
       "      <td>0.001710</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.374678</td>\n",
       "      <td>0.004489</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>35</td>\n",
       "      <td>30</td>\n",
       "      <td>29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>113</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2010285491880986112</td>\n",
       "      <td>2010285491880986112</td>\n",
       "      <td>1652141964</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>346.791983</td>\n",
       "      <td>0.028497</td>\n",
       "      <td>58.554192</td>\n",
       "      <td>0.023405</td>\n",
       "      <td>0.412512</td>\n",
       "      <td>0.031950</td>\n",
       "      <td>12.911286</td>\n",
       "      <td>-3.391692</td>\n",
       "      <td>0.050617</td>\n",
       "      <td>-2.465374</td>\n",
       "      <td>0.043973</td>\n",
       "      <td>0.173906</td>\n",
       "      <td>0.403355</td>\n",
       "      <td>-0.437351</td>\n",
       "      <td>-0.079150</td>\n",
       "      <td>0.307391</td>\n",
       "      <td>-0.170372</td>\n",
       "      <td>-0.275055</td>\n",
       "      <td>-0.277273</td>\n",
       "      <td>0.029192</td>\n",
       "      <td>0.079018</td>\n",
       "      <td>245</td>\n",
       "      <td>245</td>\n",
       "      <td>239</td>\n",
       "      <td>6</td>\n",
       "      <td>2.105188</td>\n",
       "      <td>281.80533</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>260.872700</td>\n",
       "      <td>1.478806</td>\n",
       "      <td>0.007035</td>\n",
       "      <td>0.057740</td>\n",
       "      <td>28</td>\n",
       "      <td>18</td>\n",
       "      <td>0.037880</td>\n",
       "      <td>0</td>\n",
       "      <td>34</td>\n",
       "      <td>False</td>\n",
       "      <td>279</td>\n",
       "      <td>3.381874e+06</td>\n",
       "      <td>3.280802e+04</td>\n",
       "      <td>103.080690</td>\n",
       "      <td>9.365472</td>\n",
       "      <td>33</td>\n",
       "      <td>1.292787e+06</td>\n",
       "      <td>4.896420e+04</td>\n",
       "      <td>26.402690</td>\n",
       "      <td>10.072571</td>\n",
       "      <td>32</td>\n",
       "      <td>2.988480e+06</td>\n",
       "      <td>7.449952e+04</td>\n",
       "      <td>40.114082</td>\n",
       "      <td>8.573295</td>\n",
       "      <td>1.265945</td>\n",
       "      <td>0</td>\n",
       "      <td>1.499276</td>\n",
       "      <td>0.707099</td>\n",
       "      <td>0.792177</td>\n",
       "      <td>-26.500116</td>\n",
       "      <td>5.480220</td>\n",
       "      <td>7</td>\n",
       "      <td>4250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>109.673869</td>\n",
       "      <td>-1.607608</td>\n",
       "      <td>24.362903</td>\n",
       "      <td>56.114159</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4388.3237</td>\n",
       "      <td>4269.0600</td>\n",
       "      <td>4545.7603</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>56.237183</td>\n",
       "      <td>52.409237</td>\n",
       "      <td>59.423244</td>\n",
       "      <td>1056.663000</td>\n",
       "      <td>927.82935</td>\n",
       "      <td>1185.496600</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>114</td>\n",
       "      <td>SW Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7357</td>\n",
       "      <td>7.400</td>\n",
       "      <td>6.983</td>\n",
       "      <td>6.801</td>\n",
       "      <td>-0.03</td>\n",
       "      <td>0.03</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.42</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8774</td>\n",
       "      <td>443</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>346.79200</td>\n",
       "      <td>58.55420</td>\n",
       "      <td>0.043833</td>\n",
       "      <td>V* SW Cas</td>\n",
       "      <td>346.792011</td>\n",
       "      <td>58.554202</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>99</td>\n",
       "      <td>23 07 10.08255</td>\n",
       "      <td>+58 33 15.1289</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-38.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>K0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4125</td>\n",
       "      <td>-3.39</td>\n",
       "      <td>-2.47</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.730</td>\n",
       "      <td>9.740</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.305</td>\n",
       "      <td>6.943</td>\n",
       "      <td>6.793</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.064992</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2010285491880986112</td>\n",
       "      <td>5.440901</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1682.788589</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>1682.805352</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>1682.847570</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>9.280406</td>\n",
       "      <td>0.000175</td>\n",
       "      <td>9.959924</td>\n",
       "      <td>0.000384</td>\n",
       "      <td>8.508282</td>\n",
       "      <td>0.000226</td>\n",
       "      <td>0.541752</td>\n",
       "      <td>0.000828</td>\n",
       "      <td>0.711910</td>\n",
       "      <td>0.001490</td>\n",
       "      <td>0.438070</td>\n",
       "      <td>0.000851</td>\n",
       "      <td>0.157459</td>\n",
       "      <td>0.233780</td>\n",
       "      <td>0.360794</td>\n",
       "      <td>0.001080</td>\n",
       "      <td>0.119025</td>\n",
       "      <td>0.001163</td>\n",
       "      <td>4.587502</td>\n",
       "      <td>0.001793</td>\n",
       "      <td>2.832854</td>\n",
       "      <td>0.010795</td>\n",
       "      <td>30</td>\n",
       "      <td>28</td>\n",
       "      <td>30</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>114</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2011315528113463808</td>\n",
       "      <td>2011315528113463808</td>\n",
       "      <td>950085521</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>354.701623</td>\n",
       "      <td>0.021128</td>\n",
       "      <td>59.391821</td>\n",
       "      <td>0.020621</td>\n",
       "      <td>0.355163</td>\n",
       "      <td>0.026200</td>\n",
       "      <td>13.555663</td>\n",
       "      <td>-2.687638</td>\n",
       "      <td>0.040771</td>\n",
       "      <td>-1.638111</td>\n",
       "      <td>0.040373</td>\n",
       "      <td>-0.059038</td>\n",
       "      <td>0.308282</td>\n",
       "      <td>-0.321272</td>\n",
       "      <td>0.092979</td>\n",
       "      <td>0.211184</td>\n",
       "      <td>0.033862</td>\n",
       "      <td>-0.346232</td>\n",
       "      <td>-0.168492</td>\n",
       "      <td>0.066728</td>\n",
       "      <td>-0.097822</td>\n",
       "      <td>322</td>\n",
       "      <td>322</td>\n",
       "      <td>313</td>\n",
       "      <td>9</td>\n",
       "      <td>10.407101</td>\n",
       "      <td>644.13983</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>297.765440</td>\n",
       "      <td>1.417310</td>\n",
       "      <td>0.005293</td>\n",
       "      <td>0.078783</td>\n",
       "      <td>38</td>\n",
       "      <td>18</td>\n",
       "      <td>0.032383</td>\n",
       "      <td>0</td>\n",
       "      <td>41</td>\n",
       "      <td>False</td>\n",
       "      <td>355</td>\n",
       "      <td>1.152894e+06</td>\n",
       "      <td>1.116453e+04</td>\n",
       "      <td>103.263954</td>\n",
       "      <td>10.533893</td>\n",
       "      <td>37</td>\n",
       "      <td>3.556467e+05</td>\n",
       "      <td>9.874429e+03</td>\n",
       "      <td>36.016937</td>\n",
       "      <td>11.473841</td>\n",
       "      <td>37</td>\n",
       "      <td>1.170249e+06</td>\n",
       "      <td>2.168129e+04</td>\n",
       "      <td>53.975063</td>\n",
       "      <td>9.591225</td>\n",
       "      <td>1.323535</td>\n",
       "      <td>0</td>\n",
       "      <td>1.882616</td>\n",
       "      <td>0.939948</td>\n",
       "      <td>0.942668</td>\n",
       "      <td>-39.678960</td>\n",
       "      <td>5.368126</td>\n",
       "      <td>8</td>\n",
       "      <td>4000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>113.795281</td>\n",
       "      <td>-2.185373</td>\n",
       "      <td>30.548446</td>\n",
       "      <td>53.935146</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4095.2434</td>\n",
       "      <td>4047.2136</td>\n",
       "      <td>4399.5200</td>\n",
       "      <td>0.7447</td>\n",
       "      <td>0.2785</td>\n",
       "      <td>1.6491</td>\n",
       "      <td>0.2890</td>\n",
       "      <td>0.1116</td>\n",
       "      <td>0.7920</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>47.333140</td>\n",
       "      <td>41.012306</td>\n",
       "      <td>48.463250</td>\n",
       "      <td>567.733150</td>\n",
       "      <td>497.11627</td>\n",
       "      <td>638.350040</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>93</td>\n",
       "      <td>DW Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6988</td>\n",
       "      <td>8.195</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.420</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.03</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.79</td>\n",
       "      <td>0.07</td>\n",
       "      <td>9103</td>\n",
       "      <td>442</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>354.70164</td>\n",
       "      <td>59.39183</td>\n",
       "      <td>0.044872</td>\n",
       "      <td>V* DW Cas</td>\n",
       "      <td>354.701646</td>\n",
       "      <td>59.391828</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>33</td>\n",
       "      <td>23 38 48.39499</td>\n",
       "      <td>+59 23 30.5810</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-39.680</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3552</td>\n",
       "      <td>-2.69</td>\n",
       "      <td>-1.64</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.450</td>\n",
       "      <td>11.080</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.127</td>\n",
       "      <td>7.630</td>\n",
       "      <td>7.383</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.048786</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2011315528113463808</td>\n",
       "      <td>4.997543</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1683.890304</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1683.860520</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1684.093108</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>10.498316</td>\n",
       "      <td>0.000211</td>\n",
       "      <td>11.418139</td>\n",
       "      <td>0.000355</td>\n",
       "      <td>9.576800</td>\n",
       "      <td>0.000135</td>\n",
       "      <td>0.449922</td>\n",
       "      <td>0.000831</td>\n",
       "      <td>0.600262</td>\n",
       "      <td>0.001586</td>\n",
       "      <td>0.384950</td>\n",
       "      <td>0.000732</td>\n",
       "      <td>0.254855</td>\n",
       "      <td>0.225021</td>\n",
       "      <td>0.326001</td>\n",
       "      <td>0.001426</td>\n",
       "      <td>0.115238</td>\n",
       "      <td>0.001802</td>\n",
       "      <td>4.642187</td>\n",
       "      <td>0.003329</td>\n",
       "      <td>3.065676</td>\n",
       "      <td>0.012269</td>\n",
       "      <td>34</td>\n",
       "      <td>29</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>115</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2011892703004353792</td>\n",
       "      <td>2011892703004353792</td>\n",
       "      <td>411528130</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>359.574871</td>\n",
       "      <td>0.022006</td>\n",
       "      <td>61.221054</td>\n",
       "      <td>0.025524</td>\n",
       "      <td>0.287139</td>\n",
       "      <td>0.032163</td>\n",
       "      <td>8.927568</td>\n",
       "      <td>-3.073794</td>\n",
       "      <td>0.044265</td>\n",
       "      <td>-1.753802</td>\n",
       "      <td>0.042317</td>\n",
       "      <td>-0.079166</td>\n",
       "      <td>0.230769</td>\n",
       "      <td>-0.378493</td>\n",
       "      <td>0.128012</td>\n",
       "      <td>0.219525</td>\n",
       "      <td>0.006390</td>\n",
       "      <td>-0.164278</td>\n",
       "      <td>-0.222567</td>\n",
       "      <td>0.324451</td>\n",
       "      <td>-0.172183</td>\n",
       "      <td>292</td>\n",
       "      <td>292</td>\n",
       "      <td>288</td>\n",
       "      <td>4</td>\n",
       "      <td>6.185654</td>\n",
       "      <td>456.22623</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>323.818240</td>\n",
       "      <td>1.463245</td>\n",
       "      <td>0.007033</td>\n",
       "      <td>-0.039137</td>\n",
       "      <td>33</td>\n",
       "      <td>17</td>\n",
       "      <td>0.033793</td>\n",
       "      <td>0</td>\n",
       "      <td>34</td>\n",
       "      <td>False</td>\n",
       "      <td>300</td>\n",
       "      <td>9.615058e+05</td>\n",
       "      <td>7.137127e+03</td>\n",
       "      <td>134.718890</td>\n",
       "      <td>10.730986</td>\n",
       "      <td>32</td>\n",
       "      <td>3.461408e+05</td>\n",
       "      <td>1.020705e+04</td>\n",
       "      <td>33.911945</td>\n",
       "      <td>11.503256</td>\n",
       "      <td>31</td>\n",
       "      <td>8.858645e+05</td>\n",
       "      <td>1.789156e+04</td>\n",
       "      <td>49.512974</td>\n",
       "      <td>9.893502</td>\n",
       "      <td>1.281329</td>\n",
       "      <td>0</td>\n",
       "      <td>1.609754</td>\n",
       "      <td>0.772270</td>\n",
       "      <td>0.837483</td>\n",
       "      <td>-82.324137</td>\n",
       "      <td>5.690099</td>\n",
       "      <td>8</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>116.579480</td>\n",
       "      <td>-0.993590</td>\n",
       "      <td>35.655518</td>\n",
       "      <td>53.666205</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4297.7780</td>\n",
       "      <td>4151.0750</td>\n",
       "      <td>4778.2550</td>\n",
       "      <td>0.5123</td>\n",
       "      <td>0.2009</td>\n",
       "      <td>1.8412</td>\n",
       "      <td>0.2440</td>\n",
       "      <td>0.0832</td>\n",
       "      <td>0.9201</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>45.891144</td>\n",
       "      <td>37.126000</td>\n",
       "      <td>49.192127</td>\n",
       "      <td>647.333800</td>\n",
       "      <td>533.70030</td>\n",
       "      <td>760.967300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>84</td>\n",
       "      <td>CF Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6880</td>\n",
       "      <td>8.590</td>\n",
       "      <td>8.126</td>\n",
       "      <td>7.900</td>\n",
       "      <td>0.02</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.29</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9579</td>\n",
       "      <td>437</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>359.57492</td>\n",
       "      <td>61.22106</td>\n",
       "      <td>0.086946</td>\n",
       "      <td>V* CF Cas</td>\n",
       "      <td>359.574899</td>\n",
       "      <td>61.221062</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>206</td>\n",
       "      <td>23 58 17.97573</td>\n",
       "      <td>+61 13 15.8217</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR |*iC</td>\n",
       "      <td>-77.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8Ibv</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2871</td>\n",
       "      <td>-3.07</td>\n",
       "      <td>-1.75</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.720</td>\n",
       "      <td>10.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.695</td>\n",
       "      <td>8.180</td>\n",
       "      <td>7.973</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.054853</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2011892703004353792</td>\n",
       "      <td>4.875136</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1685.895406</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>1720.007353</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>1685.935301</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>10.659282</td>\n",
       "      <td>0.000095</td>\n",
       "      <td>11.410598</td>\n",
       "      <td>0.000544</td>\n",
       "      <td>9.832063</td>\n",
       "      <td>0.000133</td>\n",
       "      <td>0.446613</td>\n",
       "      <td>0.000337</td>\n",
       "      <td>0.582130</td>\n",
       "      <td>0.001972</td>\n",
       "      <td>0.371507</td>\n",
       "      <td>0.000695</td>\n",
       "      <td>0.092942</td>\n",
       "      <td>0.225011</td>\n",
       "      <td>0.373250</td>\n",
       "      <td>0.001335</td>\n",
       "      <td>0.149063</td>\n",
       "      <td>0.001540</td>\n",
       "      <td>4.459581</td>\n",
       "      <td>0.004908</td>\n",
       "      <td>2.860955</td>\n",
       "      <td>0.008171</td>\n",
       "      <td>32</td>\n",
       "      <td>30</td>\n",
       "      <td>29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>116</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2012787293154800896</td>\n",
       "      <td>2012787293154800896</td>\n",
       "      <td>756302075</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>358.602377</td>\n",
       "      <td>0.021654</td>\n",
       "      <td>62.149466</td>\n",
       "      <td>0.020536</td>\n",
       "      <td>0.138889</td>\n",
       "      <td>0.027678</td>\n",
       "      <td>5.018014</td>\n",
       "      <td>-2.462862</td>\n",
       "      <td>0.040458</td>\n",
       "      <td>-0.986269</td>\n",
       "      <td>0.038195</td>\n",
       "      <td>-0.080780</td>\n",
       "      <td>0.351477</td>\n",
       "      <td>-0.391259</td>\n",
       "      <td>0.072466</td>\n",
       "      <td>0.112179</td>\n",
       "      <td>-0.014264</td>\n",
       "      <td>-0.260109</td>\n",
       "      <td>-0.299736</td>\n",
       "      <td>0.149413</td>\n",
       "      <td>-0.155848</td>\n",
       "      <td>320</td>\n",
       "      <td>320</td>\n",
       "      <td>314</td>\n",
       "      <td>6</td>\n",
       "      <td>9.092052</td>\n",
       "      <td>593.58340</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>420.939240</td>\n",
       "      <td>1.435923</td>\n",
       "      <td>0.006002</td>\n",
       "      <td>0.054724</td>\n",
       "      <td>36</td>\n",
       "      <td>19</td>\n",
       "      <td>0.032221</td>\n",
       "      <td>0</td>\n",
       "      <td>41</td>\n",
       "      <td>False</td>\n",
       "      <td>346</td>\n",
       "      <td>4.828236e+05</td>\n",
       "      <td>2.437390e+03</td>\n",
       "      <td>198.090400</td>\n",
       "      <td>11.478894</td>\n",
       "      <td>36</td>\n",
       "      <td>1.653137e+05</td>\n",
       "      <td>3.565146e+03</td>\n",
       "      <td>46.369410</td>\n",
       "      <td>12.305615</td>\n",
       "      <td>36</td>\n",
       "      <td>4.727784e+05</td>\n",
       "      <td>6.768121e+03</td>\n",
       "      <td>69.853710</td>\n",
       "      <td>10.575276</td>\n",
       "      <td>1.321584</td>\n",
       "      <td>0</td>\n",
       "      <td>1.730339</td>\n",
       "      <td>0.826721</td>\n",
       "      <td>0.903618</td>\n",
       "      <td>-83.534507</td>\n",
       "      <td>3.838786</td>\n",
       "      <td>7</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>116.325368</td>\n",
       "      <td>0.011444</td>\n",
       "      <td>36.154874</td>\n",
       "      <td>54.660790</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4116.2197</td>\n",
       "      <td>3917.6800</td>\n",
       "      <td>4556.5000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>128</td>\n",
       "      <td>V407 Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6613</td>\n",
       "      <td>9.404</td>\n",
       "      <td>8.890</td>\n",
       "      <td>8.673</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.95</td>\n",
       "      <td>0.07</td>\n",
       "      <td>10270</td>\n",
       "      <td>433</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>358.60236</td>\n",
       "      <td>62.14947</td>\n",
       "      <td>0.032708</td>\n",
       "      <td>V* V407 Cas</td>\n",
       "      <td>358.602400</td>\n",
       "      <td>62.149470</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>20</td>\n",
       "      <td>23 54 24.57600</td>\n",
       "      <td>+62 08 58.0923</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-83.530</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1389</td>\n",
       "      <td>-2.46</td>\n",
       "      <td>-0.99</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.340</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.324</td>\n",
       "      <td>8.800</td>\n",
       "      <td>8.583</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.041122</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2012787293154800896</td>\n",
       "      <td>4.566151</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1687.730359</td>\n",
       "      <td>0.000030</td>\n",
       "      <td>1687.698884</td>\n",
       "      <td>0.000030</td>\n",
       "      <td>1687.744056</td>\n",
       "      <td>0.000030</td>\n",
       "      <td>11.447915</td>\n",
       "      <td>0.000156</td>\n",
       "      <td>12.279705</td>\n",
       "      <td>0.000322</td>\n",
       "      <td>10.568030</td>\n",
       "      <td>0.000190</td>\n",
       "      <td>0.357113</td>\n",
       "      <td>0.000503</td>\n",
       "      <td>0.460114</td>\n",
       "      <td>0.001451</td>\n",
       "      <td>0.295814</td>\n",
       "      <td>0.000832</td>\n",
       "      <td>0.310921</td>\n",
       "      <td>0.225021</td>\n",
       "      <td>0.309640</td>\n",
       "      <td>0.001430</td>\n",
       "      <td>0.096014</td>\n",
       "      <td>0.000851</td>\n",
       "      <td>4.412451</td>\n",
       "      <td>0.005248</td>\n",
       "      <td>2.524626</td>\n",
       "      <td>0.020950</td>\n",
       "      <td>39</td>\n",
       "      <td>35</td>\n",
       "      <td>35</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>117</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2013029941628292352</td>\n",
       "      <td>2013029941628292352</td>\n",
       "      <td>443188929</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>359.395650</td>\n",
       "      <td>0.025306</td>\n",
       "      <td>62.718241</td>\n",
       "      <td>0.021630</td>\n",
       "      <td>0.220969</td>\n",
       "      <td>0.029413</td>\n",
       "      <td>7.512624</td>\n",
       "      <td>-1.713010</td>\n",
       "      <td>0.050297</td>\n",
       "      <td>-1.083876</td>\n",
       "      <td>0.038365</td>\n",
       "      <td>-0.139513</td>\n",
       "      <td>0.055331</td>\n",
       "      <td>-0.464151</td>\n",
       "      <td>0.155711</td>\n",
       "      <td>-0.030271</td>\n",
       "      <td>0.162927</td>\n",
       "      <td>-0.408167</td>\n",
       "      <td>-0.116387</td>\n",
       "      <td>0.211485</td>\n",
       "      <td>-0.135286</td>\n",
       "      <td>302</td>\n",
       "      <td>302</td>\n",
       "      <td>296</td>\n",
       "      <td>6</td>\n",
       "      <td>6.651479</td>\n",
       "      <td>481.83300</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>230.033740</td>\n",
       "      <td>1.487274</td>\n",
       "      <td>0.005187</td>\n",
       "      <td>-0.014105</td>\n",
       "      <td>34</td>\n",
       "      <td>17</td>\n",
       "      <td>0.037985</td>\n",
       "      <td>0</td>\n",
       "      <td>38</td>\n",
       "      <td>False</td>\n",
       "      <td>328</td>\n",
       "      <td>3.252400e+06</td>\n",
       "      <td>2.880021e+04</td>\n",
       "      <td>112.929726</td>\n",
       "      <td>9.407856</td>\n",
       "      <td>37</td>\n",
       "      <td>1.291119e+06</td>\n",
       "      <td>4.080901e+04</td>\n",
       "      <td>31.638092</td>\n",
       "      <td>10.073973</td>\n",
       "      <td>37</td>\n",
       "      <td>2.825496e+06</td>\n",
       "      <td>6.073562e+04</td>\n",
       "      <td>46.521230</td>\n",
       "      <td>8.634184</td>\n",
       "      <td>1.265716</td>\n",
       "      <td>0</td>\n",
       "      <td>1.439789</td>\n",
       "      <td>0.666117</td>\n",
       "      <td>0.773672</td>\n",
       "      <td>-76.869857</td>\n",
       "      <td>2.938768</td>\n",
       "      <td>2</td>\n",
       "      <td>4500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>116.805299</td>\n",
       "      <td>0.488863</td>\n",
       "      <td>37.294584</td>\n",
       "      <td>54.820138</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4574.9350</td>\n",
       "      <td>4386.3335</td>\n",
       "      <td>4840.5000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>91.181430</td>\n",
       "      <td>81.450880</td>\n",
       "      <td>99.191154</td>\n",
       "      <td>3281.309600</td>\n",
       "      <td>2575.83960</td>\n",
       "      <td>3986.779500</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>90</td>\n",
       "      <td>DD Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.9918</td>\n",
       "      <td>7.526</td>\n",
       "      <td>7.067</td>\n",
       "      <td>6.887</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.33</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9623</td>\n",
       "      <td>437</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>359.39567</td>\n",
       "      <td>62.71825</td>\n",
       "      <td>0.046323</td>\n",
       "      <td>V* DD Cas</td>\n",
       "      <td>359.395666</td>\n",
       "      <td>62.718246</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104</td>\n",
       "      <td>23 57 34.95992</td>\n",
       "      <td>+62 43 05.6839</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-70.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2210</td>\n",
       "      <td>-1.71</td>\n",
       "      <td>-1.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.950</td>\n",
       "      <td>9.840</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.462</td>\n",
       "      <td>7.016</td>\n",
       "      <td>6.887</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.031420</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2013029941628292352</td>\n",
       "      <td>9.805689</td>\n",
       "      <td>0.000071</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1673.553380</td>\n",
       "      <td>0.000100</td>\n",
       "      <td>1673.121072</td>\n",
       "      <td>0.000100</td>\n",
       "      <td>1673.806280</td>\n",
       "      <td>0.000100</td>\n",
       "      <td>9.438920</td>\n",
       "      <td>0.000105</td>\n",
       "      <td>10.164132</td>\n",
       "      <td>0.002910</td>\n",
       "      <td>8.649219</td>\n",
       "      <td>0.000153</td>\n",
       "      <td>0.459875</td>\n",
       "      <td>0.000309</td>\n",
       "      <td>0.618506</td>\n",
       "      <td>0.019923</td>\n",
       "      <td>0.362645</td>\n",
       "      <td>0.000532</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>37</td>\n",
       "      <td>34</td>\n",
       "      <td>36</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2014609252631258496</td>\n",
       "      <td>2014609252631258496</td>\n",
       "      <td>385954217</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>342.096176</td>\n",
       "      <td>0.024792</td>\n",
       "      <td>60.404764</td>\n",
       "      <td>0.022076</td>\n",
       "      <td>0.389670</td>\n",
       "      <td>0.027218</td>\n",
       "      <td>14.316376</td>\n",
       "      <td>-3.383490</td>\n",
       "      <td>0.047848</td>\n",
       "      <td>-2.781092</td>\n",
       "      <td>0.038893</td>\n",
       "      <td>-0.004271</td>\n",
       "      <td>0.194544</td>\n",
       "      <td>-0.481241</td>\n",
       "      <td>0.079447</td>\n",
       "      <td>0.244898</td>\n",
       "      <td>-0.001830</td>\n",
       "      <td>-0.208079</td>\n",
       "      <td>-0.212817</td>\n",
       "      <td>0.170694</td>\n",
       "      <td>-0.074231</td>\n",
       "      <td>260</td>\n",
       "      <td>260</td>\n",
       "      <td>252</td>\n",
       "      <td>8</td>\n",
       "      <td>12.845187</td>\n",
       "      <td>655.34640</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>372.068970</td>\n",
       "      <td>1.368905</td>\n",
       "      <td>0.005897</td>\n",
       "      <td>0.022393</td>\n",
       "      <td>30</td>\n",
       "      <td>17</td>\n",
       "      <td>0.036977</td>\n",
       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>False</td>\n",
       "      <td>297</td>\n",
       "      <td>4.495616e+05</td>\n",
       "      <td>3.290129e+03</td>\n",
       "      <td>136.639500</td>\n",
       "      <td>11.556393</td>\n",
       "      <td>31</td>\n",
       "      <td>1.281650e+05</td>\n",
       "      <td>3.770363e+03</td>\n",
       "      <td>33.992744</td>\n",
       "      <td>12.581964</td>\n",
       "      <td>31</td>\n",
       "      <td>4.959484e+05</td>\n",
       "      <td>8.521198e+03</td>\n",
       "      <td>58.201725</td>\n",
       "      <td>10.523329</td>\n",
       "      <td>1.388271</td>\n",
       "      <td>0</td>\n",
       "      <td>2.058636</td>\n",
       "      <td>1.025572</td>\n",
       "      <td>1.033064</td>\n",
       "      <td>-55.968144</td>\n",
       "      <td>4.948496</td>\n",
       "      <td>9</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>108.297224</td>\n",
       "      <td>1.077493</td>\n",
       "      <td>23.729562</td>\n",
       "      <td>59.112437</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3917.4900</td>\n",
       "      <td>3662.0000</td>\n",
       "      <td>4520.9730</td>\n",
       "      <td>1.0650</td>\n",
       "      <td>0.6500</td>\n",
       "      <td>1.4041</td>\n",
       "      <td>0.5107</td>\n",
       "      <td>0.3230</td>\n",
       "      <td>0.6960</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>31.156416</td>\n",
       "      <td>23.393728</td>\n",
       "      <td>35.655506</td>\n",
       "      <td>205.978210</td>\n",
       "      <td>182.07289</td>\n",
       "      <td>229.883530</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>158</td>\n",
       "      <td>V911 Cep</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6312</td>\n",
       "      <td>8.854</td>\n",
       "      <td>8.220</td>\n",
       "      <td>7.977</td>\n",
       "      <td>-0.02</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.04</td>\n",
       "      <td>0.07</td>\n",
       "      <td>9076</td>\n",
       "      <td>437</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>342.09617</td>\n",
       "      <td>60.40472</td>\n",
       "      <td>0.157954</td>\n",
       "      <td>V* V911 Cep</td>\n",
       "      <td>342.096206</td>\n",
       "      <td>60.404776</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>8</td>\n",
       "      <td>22 48 23.08940</td>\n",
       "      <td>+60 24 17.1927</td>\n",
       "      <td>V*</td>\n",
       "      <td>V* |*  |IR</td>\n",
       "      <td>-55.970</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3897</td>\n",
       "      <td>-3.38</td>\n",
       "      <td>-2.78</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.800</td>\n",
       "      <td>8.242</td>\n",
       "      <td>8.011</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.067887</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2014609252631258496</td>\n",
       "      <td>4.278626</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1683.496321</td>\n",
       "      <td>0.000029</td>\n",
       "      <td>1683.405584</td>\n",
       "      <td>0.000029</td>\n",
       "      <td>1683.462976</td>\n",
       "      <td>0.000029</td>\n",
       "      <td>11.568105</td>\n",
       "      <td>0.000153</td>\n",
       "      <td>12.599592</td>\n",
       "      <td>0.001143</td>\n",
       "      <td>10.580753</td>\n",
       "      <td>0.003898</td>\n",
       "      <td>0.493460</td>\n",
       "      <td>0.000679</td>\n",
       "      <td>0.627882</td>\n",
       "      <td>0.006381</td>\n",
       "      <td>0.577530</td>\n",
       "      <td>0.026512</td>\n",
       "      <td>0.070381</td>\n",
       "      <td>0.224983</td>\n",
       "      <td>0.379834</td>\n",
       "      <td>0.000787</td>\n",
       "      <td>0.137363</td>\n",
       "      <td>0.001124</td>\n",
       "      <td>4.588418</td>\n",
       "      <td>0.004096</td>\n",
       "      <td>2.945515</td>\n",
       "      <td>0.011444</td>\n",
       "      <td>32</td>\n",
       "      <td>31</td>\n",
       "      <td>30</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>119</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2015458213056909184</td>\n",
       "      <td>2015458213056909184</td>\n",
       "      <td>102183908</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>351.493623</td>\n",
       "      <td>0.023748</td>\n",
       "      <td>61.266833</td>\n",
       "      <td>0.019869</td>\n",
       "      <td>0.155260</td>\n",
       "      <td>0.027720</td>\n",
       "      <td>5.600967</td>\n",
       "      <td>-2.558421</td>\n",
       "      <td>0.044382</td>\n",
       "      <td>-0.864922</td>\n",
       "      <td>0.037913</td>\n",
       "      <td>0.079722</td>\n",
       "      <td>0.322419</td>\n",
       "      <td>-0.373735</td>\n",
       "      <td>-0.015312</td>\n",
       "      <td>0.225329</td>\n",
       "      <td>-0.131363</td>\n",
       "      <td>-0.167451</td>\n",
       "      <td>-0.309259</td>\n",
       "      <td>0.159648</td>\n",
       "      <td>-0.013789</td>\n",
       "      <td>278</td>\n",
       "      <td>278</td>\n",
       "      <td>277</td>\n",
       "      <td>1</td>\n",
       "      <td>5.474124</td>\n",
       "      <td>419.80573</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>264.862900</td>\n",
       "      <td>1.426106</td>\n",
       "      <td>0.005490</td>\n",
       "      <td>0.057119</td>\n",
       "      <td>32</td>\n",
       "      <td>18</td>\n",
       "      <td>0.033884</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>True</td>\n",
       "      <td>314</td>\n",
       "      <td>1.838190e+05</td>\n",
       "      <td>1.562007e+03</td>\n",
       "      <td>117.681300</td>\n",
       "      <td>12.527390</td>\n",
       "      <td>33</td>\n",
       "      <td>6.118335e+04</td>\n",
       "      <td>2.179736e+03</td>\n",
       "      <td>28.069153</td>\n",
       "      <td>13.384805</td>\n",
       "      <td>33</td>\n",
       "      <td>1.843135e+05</td>\n",
       "      <td>4.104129e+03</td>\n",
       "      <td>44.909298</td>\n",
       "      <td>11.598027</td>\n",
       "      <td>1.335536</td>\n",
       "      <td>0</td>\n",
       "      <td>1.786778</td>\n",
       "      <td>0.857415</td>\n",
       "      <td>0.929362</td>\n",
       "      <td>-79.147909</td>\n",
       "      <td>5.469660</td>\n",
       "      <td>11</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>112.845053</td>\n",
       "      <td>0.080045</td>\n",
       "      <td>30.812048</td>\n",
       "      <td>56.387080</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4001.7500</td>\n",
       "      <td>3900.0000</td>\n",
       "      <td>4411.2400</td>\n",
       "      <td>0.5977</td>\n",
       "      <td>0.2289</td>\n",
       "      <td>1.3000</td>\n",
       "      <td>0.3020</td>\n",
       "      <td>0.0939</td>\n",
       "      <td>0.6360</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>46.661590</td>\n",
       "      <td>38.400600</td>\n",
       "      <td>49.128128</td>\n",
       "      <td>503.052800</td>\n",
       "      <td>355.01770</td>\n",
       "      <td>651.087900</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>109</td>\n",
       "      <td>PW Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6021</td>\n",
       "      <td>10.246</td>\n",
       "      <td>9.679</td>\n",
       "      <td>9.483</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>-0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.53</td>\n",
       "      <td>0.07</td>\n",
       "      <td>10959</td>\n",
       "      <td>425</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>351.49367</td>\n",
       "      <td>61.26686</td>\n",
       "      <td>0.125143</td>\n",
       "      <td>V* PW Cas</td>\n",
       "      <td>351.493646</td>\n",
       "      <td>61.266837</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>20</td>\n",
       "      <td>23 25 58.47507</td>\n",
       "      <td>+61 16 00.6140</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-79.150</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1553</td>\n",
       "      <td>-2.56</td>\n",
       "      <td>-0.87</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.136</td>\n",
       "      <td>9.605</td>\n",
       "      <td>9.414</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.041860</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2015458213056909184</td>\n",
       "      <td>4.000241</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1688.213344</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>1688.181567</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>1688.246105</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>12.508315</td>\n",
       "      <td>0.000058</td>\n",
       "      <td>13.362732</td>\n",
       "      <td>0.000347</td>\n",
       "      <td>11.593432</td>\n",
       "      <td>0.000213</td>\n",
       "      <td>0.449596</td>\n",
       "      <td>0.000271</td>\n",
       "      <td>0.593336</td>\n",
       "      <td>0.001641</td>\n",
       "      <td>0.377498</td>\n",
       "      <td>0.000937</td>\n",
       "      <td>0.264234</td>\n",
       "      <td>0.224979</td>\n",
       "      <td>0.323264</td>\n",
       "      <td>0.000627</td>\n",
       "      <td>0.127379</td>\n",
       "      <td>0.000533</td>\n",
       "      <td>4.457593</td>\n",
       "      <td>0.002361</td>\n",
       "      <td>2.836766</td>\n",
       "      <td>0.005716</td>\n",
       "      <td>35</td>\n",
       "      <td>33</td>\n",
       "      <td>33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>120</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2015622212085282048</td>\n",
       "      <td>2015622212085282048</td>\n",
       "      <td>877370542</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>354.863709</td>\n",
       "      <td>0.028579</td>\n",
       "      <td>62.372138</td>\n",
       "      <td>0.034615</td>\n",
       "      <td>0.228762</td>\n",
       "      <td>0.037659</td>\n",
       "      <td>6.074491</td>\n",
       "      <td>-1.634818</td>\n",
       "      <td>0.066212</td>\n",
       "      <td>-0.587613</td>\n",
       "      <td>0.059723</td>\n",
       "      <td>-0.237941</td>\n",
       "      <td>0.027439</td>\n",
       "      <td>-0.303474</td>\n",
       "      <td>0.174822</td>\n",
       "      <td>0.341308</td>\n",
       "      <td>0.143711</td>\n",
       "      <td>-0.425315</td>\n",
       "      <td>-0.024915</td>\n",
       "      <td>0.108167</td>\n",
       "      <td>-0.203752</td>\n",
       "      <td>225</td>\n",
       "      <td>225</td>\n",
       "      <td>204</td>\n",
       "      <td>21</td>\n",
       "      <td>11.741911</td>\n",
       "      <td>535.89575</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>7.090106e-01</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>369.395360</td>\n",
       "      <td>1.404231</td>\n",
       "      <td>0.008371</td>\n",
       "      <td>-0.055170</td>\n",
       "      <td>26</td>\n",
       "      <td>15</td>\n",
       "      <td>0.047191</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>False</td>\n",
       "      <td>267</td>\n",
       "      <td>6.268796e+05</td>\n",
       "      <td>6.403361e+03</td>\n",
       "      <td>97.898540</td>\n",
       "      <td>11.195405</td>\n",
       "      <td>27</td>\n",
       "      <td>1.980666e+05</td>\n",
       "      <td>9.983063e+03</td>\n",
       "      <td>19.840261</td>\n",
       "      <td>12.109360</td>\n",
       "      <td>28</td>\n",
       "      <td>6.785138e+05</td>\n",
       "      <td>2.001264e+04</td>\n",
       "      <td>33.904263</td>\n",
       "      <td>10.183023</td>\n",
       "      <td>1.398323</td>\n",
       "      <td>0</td>\n",
       "      <td>1.926336</td>\n",
       "      <td>0.913955</td>\n",
       "      <td>1.012382</td>\n",
       "      <td>-70.632394</td>\n",
       "      <td>6.210298</td>\n",
       "      <td>4</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>114.694440</td>\n",
       "      <td>0.657218</td>\n",
       "      <td>34.238113</td>\n",
       "      <td>56.035400</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3845.0000</td>\n",
       "      <td>3728.0000</td>\n",
       "      <td>4096.3335</td>\n",
       "      <td>0.9495</td>\n",
       "      <td>0.6299</td>\n",
       "      <td>1.3596</td>\n",
       "      <td>0.4827</td>\n",
       "      <td>0.3245</td>\n",
       "      <td>0.9366</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>66.667450</td>\n",
       "      <td>58.737564</td>\n",
       "      <td>70.917720</td>\n",
       "      <td>875.201000</td>\n",
       "      <td>660.51560</td>\n",
       "      <td>1089.886400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>89</td>\n",
       "      <td>CZ Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7532</td>\n",
       "      <td>8.622</td>\n",
       "      <td>8.124</td>\n",
       "      <td>7.855</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.42</td>\n",
       "      <td>0.07</td>\n",
       "      <td>9621</td>\n",
       "      <td>437</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>354.86362</td>\n",
       "      <td>62.37219</td>\n",
       "      <td>0.239034</td>\n",
       "      <td>V* CZ Cas</td>\n",
       "      <td>354.863724</td>\n",
       "      <td>62.372141</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>36</td>\n",
       "      <td>23 39 27.29384</td>\n",
       "      <td>+62 22 19.7061</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |IR |*  |Ce*</td>\n",
       "      <td>-70.630</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2288</td>\n",
       "      <td>-1.64</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.180</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.766</td>\n",
       "      <td>8.230</td>\n",
       "      <td>7.948</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.026927</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2015622212085282048</td>\n",
       "      <td>5.666169</td>\n",
       "      <td>0.000028</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1681.276214</td>\n",
       "      <td>0.000039</td>\n",
       "      <td>1681.277087</td>\n",
       "      <td>0.000039</td>\n",
       "      <td>1681.361757</td>\n",
       "      <td>0.000039</td>\n",
       "      <td>11.060485</td>\n",
       "      <td>0.000149</td>\n",
       "      <td>12.005496</td>\n",
       "      <td>0.000298</td>\n",
       "      <td>10.123098</td>\n",
       "      <td>0.000159</td>\n",
       "      <td>0.600714</td>\n",
       "      <td>0.000786</td>\n",
       "      <td>0.805968</td>\n",
       "      <td>0.001047</td>\n",
       "      <td>0.516081</td>\n",
       "      <td>0.000621</td>\n",
       "      <td>0.254428</td>\n",
       "      <td>0.233793</td>\n",
       "      <td>0.332060</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.734737</td>\n",
       "      <td>0.003794</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>28</td>\n",
       "      <td>27</td>\n",
       "      <td>28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>121</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2015820463470505600</td>\n",
       "      <td>2015820463470505600</td>\n",
       "      <td>148611096</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>354.316906</td>\n",
       "      <td>0.028332</td>\n",
       "      <td>62.428989</td>\n",
       "      <td>0.029240</td>\n",
       "      <td>0.587692</td>\n",
       "      <td>0.032256</td>\n",
       "      <td>18.219816</td>\n",
       "      <td>-1.448302</td>\n",
       "      <td>0.055950</td>\n",
       "      <td>-0.768645</td>\n",
       "      <td>0.054604</td>\n",
       "      <td>-0.126576</td>\n",
       "      <td>-0.005224</td>\n",
       "      <td>-0.514455</td>\n",
       "      <td>0.116230</td>\n",
       "      <td>0.218812</td>\n",
       "      <td>0.083324</td>\n",
       "      <td>-0.509304</td>\n",
       "      <td>-0.130196</td>\n",
       "      <td>-0.026125</td>\n",
       "      <td>-0.172628</td>\n",
       "      <td>232</td>\n",
       "      <td>232</td>\n",
       "      <td>224</td>\n",
       "      <td>8</td>\n",
       "      <td>8.824789</td>\n",
       "      <td>459.37866</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>228.107330</td>\n",
       "      <td>1.405841</td>\n",
       "      <td>0.007262</td>\n",
       "      <td>-0.066985</td>\n",
       "      <td>26</td>\n",
       "      <td>16</td>\n",
       "      <td>0.043459</td>\n",
       "      <td>0</td>\n",
       "      <td>28</td>\n",
       "      <td>False</td>\n",
       "      <td>248</td>\n",
       "      <td>3.411414e+06</td>\n",
       "      <td>3.875455e+04</td>\n",
       "      <td>88.026146</td>\n",
       "      <td>9.356029</td>\n",
       "      <td>28</td>\n",
       "      <td>1.015263e+06</td>\n",
       "      <td>4.723266e+04</td>\n",
       "      <td>21.494928</td>\n",
       "      <td>10.334942</td>\n",
       "      <td>28</td>\n",
       "      <td>3.578071e+06</td>\n",
       "      <td>9.723390e+04</td>\n",
       "      <td>36.798600</td>\n",
       "      <td>8.377797</td>\n",
       "      <td>1.346461</td>\n",
       "      <td>0</td>\n",
       "      <td>1.957145</td>\n",
       "      <td>0.978912</td>\n",
       "      <td>0.978232</td>\n",
       "      <td>-28.277462</td>\n",
       "      <td>8.936306</td>\n",
       "      <td>4</td>\n",
       "      <td>3800.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>114.467018</td>\n",
       "      <td>0.782492</td>\n",
       "      <td>33.990820</td>\n",
       "      <td>56.255462</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3919.8450</td>\n",
       "      <td>3746.0000</td>\n",
       "      <td>4412.2800</td>\n",
       "      <td>1.1840</td>\n",
       "      <td>0.8689</td>\n",
       "      <td>1.9130</td>\n",
       "      <td>0.5963</td>\n",
       "      <td>0.4139</td>\n",
       "      <td>1.0435</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>56.793743</td>\n",
       "      <td>44.824165</td>\n",
       "      <td>62.187450</td>\n",
       "      <td>686.074500</td>\n",
       "      <td>626.65826</td>\n",
       "      <td>745.490800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>110</td>\n",
       "      <td>RS Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7991</td>\n",
       "      <td>6.769</td>\n",
       "      <td>6.225</td>\n",
       "      <td>5.968</td>\n",
       "      <td>0.18</td>\n",
       "      <td>0.15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.66</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8589</td>\n",
       "      <td>447</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>354.31692</td>\n",
       "      <td>62.42899</td>\n",
       "      <td>0.024549</td>\n",
       "      <td>V* RS Cas</td>\n",
       "      <td>354.316919</td>\n",
       "      <td>62.428992</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>92</td>\n",
       "      <td>23 37 16.06057</td>\n",
       "      <td>+62 25 44.3709</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-33.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7-G1Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.5877</td>\n",
       "      <td>-1.45</td>\n",
       "      <td>-0.77</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.400</td>\n",
       "      <td>10.060</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.967</td>\n",
       "      <td>6.370</td>\n",
       "      <td>6.160</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.025414</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2015820463470505600</td>\n",
       "      <td>6.296639</td>\n",
       "      <td>0.000047</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1678.950950</td>\n",
       "      <td>0.000067</td>\n",
       "      <td>1678.894789</td>\n",
       "      <td>0.000067</td>\n",
       "      <td>1679.092418</td>\n",
       "      <td>0.000067</td>\n",
       "      <td>9.240225</td>\n",
       "      <td>0.000216</td>\n",
       "      <td>10.223646</td>\n",
       "      <td>0.000409</td>\n",
       "      <td>8.281534</td>\n",
       "      <td>0.000188</td>\n",
       "      <td>0.607680</td>\n",
       "      <td>0.001146</td>\n",
       "      <td>0.803348</td>\n",
       "      <td>0.002642</td>\n",
       "      <td>0.483579</td>\n",
       "      <td>0.000742</td>\n",
       "      <td>-0.022744</td>\n",
       "      <td>0.233804</td>\n",
       "      <td>0.414194</td>\n",
       "      <td>0.001472</td>\n",
       "      <td>0.112834</td>\n",
       "      <td>0.001539</td>\n",
       "      <td>4.789370</td>\n",
       "      <td>0.003651</td>\n",
       "      <td>3.005693</td>\n",
       "      <td>0.016595</td>\n",
       "      <td>28</td>\n",
       "      <td>28</td>\n",
       "      <td>28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>122</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2016028168089215488</td>\n",
       "      <td>2016028168089215488</td>\n",
       "      <td>1289167455</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>356.260926</td>\n",
       "      <td>0.024982</td>\n",
       "      <td>63.003846</td>\n",
       "      <td>0.023602</td>\n",
       "      <td>0.382629</td>\n",
       "      <td>0.030674</td>\n",
       "      <td>12.474009</td>\n",
       "      <td>-2.297449</td>\n",
       "      <td>0.049874</td>\n",
       "      <td>-1.463073</td>\n",
       "      <td>0.042736</td>\n",
       "      <td>-0.071071</td>\n",
       "      <td>0.141709</td>\n",
       "      <td>-0.404355</td>\n",
       "      <td>0.029612</td>\n",
       "      <td>0.150955</td>\n",
       "      <td>-0.033965</td>\n",
       "      <td>-0.140165</td>\n",
       "      <td>-0.137723</td>\n",
       "      <td>0.232116</td>\n",
       "      <td>-0.130879</td>\n",
       "      <td>257</td>\n",
       "      <td>257</td>\n",
       "      <td>250</td>\n",
       "      <td>7</td>\n",
       "      <td>12.110256</td>\n",
       "      <td>621.48990</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>281.705140</td>\n",
       "      <td>1.393551</td>\n",
       "      <td>0.006588</td>\n",
       "      <td>-0.026110</td>\n",
       "      <td>29</td>\n",
       "      <td>18</td>\n",
       "      <td>0.036720</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>False</td>\n",
       "      <td>284</td>\n",
       "      <td>1.552925e+06</td>\n",
       "      <td>1.426810e+04</td>\n",
       "      <td>108.838990</td>\n",
       "      <td>10.210489</td>\n",
       "      <td>31</td>\n",
       "      <td>4.388571e+05</td>\n",
       "      <td>1.701503e+04</td>\n",
       "      <td>25.792318</td>\n",
       "      <td>11.245581</td>\n",
       "      <td>32</td>\n",
       "      <td>1.646234e+06</td>\n",
       "      <td>4.205833e+04</td>\n",
       "      <td>39.141697</td>\n",
       "      <td>9.220691</td>\n",
       "      <td>1.342686</td>\n",
       "      <td>0</td>\n",
       "      <td>2.024890</td>\n",
       "      <td>1.035091</td>\n",
       "      <td>0.989799</td>\n",
       "      <td>-53.641259</td>\n",
       "      <td>8.677755</td>\n",
       "      <td>5</td>\n",
       "      <td>4000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>115.479923</td>\n",
       "      <td>1.096707</td>\n",
       "      <td>35.848768</td>\n",
       "      <td>56.025413</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4062.8276</td>\n",
       "      <td>3900.8850</td>\n",
       "      <td>4143.6900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>52.335090</td>\n",
       "      <td>50.312428</td>\n",
       "      <td>56.770596</td>\n",
       "      <td>672.348200</td>\n",
       "      <td>586.38030</td>\n",
       "      <td>758.316100</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>83</td>\n",
       "      <td>CD Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8921</td>\n",
       "      <td>7.631</td>\n",
       "      <td>7.090</td>\n",
       "      <td>6.860</td>\n",
       "      <td>0.13</td>\n",
       "      <td>0.10</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.88</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9216</td>\n",
       "      <td>441</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>356.26097</td>\n",
       "      <td>63.00385</td>\n",
       "      <td>0.073131</td>\n",
       "      <td>V* CD Cas</td>\n",
       "      <td>356.260948</td>\n",
       "      <td>63.003852</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>58</td>\n",
       "      <td>23 45 02.62748</td>\n",
       "      <td>+63 00 13.8689</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR |Ce*</td>\n",
       "      <td>-54.900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6-G5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3826</td>\n",
       "      <td>-2.31</td>\n",
       "      <td>-1.66</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.620</td>\n",
       "      <td>10.640</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.644</td>\n",
       "      <td>7.048</td>\n",
       "      <td>6.812</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.042218</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2016028168089215488</td>\n",
       "      <td>7.801123</td>\n",
       "      <td>0.000046</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1680.179317</td>\n",
       "      <td>0.000065</td>\n",
       "      <td>1680.140343</td>\n",
       "      <td>0.000065</td>\n",
       "      <td>1680.235224</td>\n",
       "      <td>0.000065</td>\n",
       "      <td>10.077085</td>\n",
       "      <td>0.000337</td>\n",
       "      <td>11.043215</td>\n",
       "      <td>0.000557</td>\n",
       "      <td>9.125489</td>\n",
       "      <td>0.000262</td>\n",
       "      <td>0.639110</td>\n",
       "      <td>0.002230</td>\n",
       "      <td>0.886138</td>\n",
       "      <td>0.003693</td>\n",
       "      <td>0.561514</td>\n",
       "      <td>0.002149</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.299119</td>\n",
       "      <td>0.001536</td>\n",
       "      <td>0.191229</td>\n",
       "      <td>0.002559</td>\n",
       "      <td>5.067933</td>\n",
       "      <td>0.007483</td>\n",
       "      <td>3.137587</td>\n",
       "      <td>0.011758</td>\n",
       "      <td>32</td>\n",
       "      <td>30</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>123</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2016581673416790656</td>\n",
       "      <td>2016581673416790656</td>\n",
       "      <td>950491860</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>350.618464</td>\n",
       "      <td>0.023139</td>\n",
       "      <td>62.757143</td>\n",
       "      <td>0.024183</td>\n",
       "      <td>0.270838</td>\n",
       "      <td>0.028402</td>\n",
       "      <td>9.535844</td>\n",
       "      <td>-3.267489</td>\n",
       "      <td>0.047097</td>\n",
       "      <td>-1.705569</td>\n",
       "      <td>0.043071</td>\n",
       "      <td>-0.066309</td>\n",
       "      <td>0.056882</td>\n",
       "      <td>-0.341973</td>\n",
       "      <td>-0.034777</td>\n",
       "      <td>0.095693</td>\n",
       "      <td>-0.068906</td>\n",
       "      <td>-0.212043</td>\n",
       "      <td>-0.177706</td>\n",
       "      <td>0.243135</td>\n",
       "      <td>-0.031114</td>\n",
       "      <td>254</td>\n",
       "      <td>254</td>\n",
       "      <td>251</td>\n",
       "      <td>3</td>\n",
       "      <td>11.522263</td>\n",
       "      <td>599.09406</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>238.267650</td>\n",
       "      <td>1.359602</td>\n",
       "      <td>0.007069</td>\n",
       "      <td>0.084811</td>\n",
       "      <td>29</td>\n",
       "      <td>19</td>\n",
       "      <td>0.034766</td>\n",
       "      <td>0</td>\n",
       "      <td>33</td>\n",
       "      <td>False</td>\n",
       "      <td>279</td>\n",
       "      <td>1.392392e+06</td>\n",
       "      <td>1.405691e+04</td>\n",
       "      <td>99.053890</td>\n",
       "      <td>10.328962</td>\n",
       "      <td>31</td>\n",
       "      <td>3.335133e+05</td>\n",
       "      <td>1.220223e+04</td>\n",
       "      <td>27.332155</td>\n",
       "      <td>11.543606</td>\n",
       "      <td>33</td>\n",
       "      <td>1.614363e+06</td>\n",
       "      <td>4.478824e+04</td>\n",
       "      <td>36.044350</td>\n",
       "      <td>9.241917</td>\n",
       "      <td>1.398943</td>\n",
       "      <td>0</td>\n",
       "      <td>2.301689</td>\n",
       "      <td>1.214643</td>\n",
       "      <td>1.087046</td>\n",
       "      <td>-45.720812</td>\n",
       "      <td>5.793830</td>\n",
       "      <td>4</td>\n",
       "      <td>3700.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>112.950175</td>\n",
       "      <td>1.622296</td>\n",
       "      <td>32.270671</td>\n",
       "      <td>57.713896</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4105.8096</td>\n",
       "      <td>3970.8223</td>\n",
       "      <td>4242.0100</td>\n",
       "      <td>1.1320</td>\n",
       "      <td>0.7820</td>\n",
       "      <td>2.1466</td>\n",
       "      <td>0.5910</td>\n",
       "      <td>0.4060</td>\n",
       "      <td>1.1216</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>67.643880</td>\n",
       "      <td>63.369865</td>\n",
       "      <td>72.321140</td>\n",
       "      <td>1171.512600</td>\n",
       "      <td>970.47974</td>\n",
       "      <td>1372.545400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>86</td>\n",
       "      <td>CH Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1786</td>\n",
       "      <td>7.331</td>\n",
       "      <td>6.686</td>\n",
       "      <td>6.385</td>\n",
       "      <td>0.17</td>\n",
       "      <td>0.23</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.25</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9405</td>\n",
       "      <td>436</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>350.61848</td>\n",
       "      <td>62.75715</td>\n",
       "      <td>0.036399</td>\n",
       "      <td>V* CH Cas</td>\n",
       "      <td>350.618495</td>\n",
       "      <td>62.757150</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>57</td>\n",
       "      <td>23 22 28.43880</td>\n",
       "      <td>+62 45 25.7409</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR |Ce*</td>\n",
       "      <td>-55.900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F3Ibp</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2708</td>\n",
       "      <td>-3.27</td>\n",
       "      <td>-1.71</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.570</td>\n",
       "      <td>10.790</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.482</td>\n",
       "      <td>6.723</td>\n",
       "      <td>6.448</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.057131</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>2016581673416790656</td>\n",
       "      <td>15.093434</td>\n",
       "      <td>0.000226</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1663.420893</td>\n",
       "      <td>0.000319</td>\n",
       "      <td>1664.862254</td>\n",
       "      <td>0.000319</td>\n",
       "      <td>1664.734371</td>\n",
       "      <td>0.000319</td>\n",
       "      <td>10.121972</td>\n",
       "      <td>0.000258</td>\n",
       "      <td>11.345080</td>\n",
       "      <td>0.000574</td>\n",
       "      <td>9.120421</td>\n",
       "      <td>0.000226</td>\n",
       "      <td>0.876777</td>\n",
       "      <td>0.002360</td>\n",
       "      <td>0.672636</td>\n",
       "      <td>0.001426</td>\n",
       "      <td>0.469399</td>\n",
       "      <td>0.000710</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.322615</td>\n",
       "      <td>0.002860</td>\n",
       "      <td>0.275243</td>\n",
       "      <td>0.003026</td>\n",
       "      <td>4.358709</td>\n",
       "      <td>0.002643</td>\n",
       "      <td>1.390875</td>\n",
       "      <td>0.007947</td>\n",
       "      <td>32</td>\n",
       "      <td>27</td>\n",
       "      <td>27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>124</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2016626856473497344</td>\n",
       "      <td>2016626856473497344</td>\n",
       "      <td>147388255</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>352.303145</td>\n",
       "      <td>0.023143</td>\n",
       "      <td>63.374296</td>\n",
       "      <td>0.019726</td>\n",
       "      <td>0.242518</td>\n",
       "      <td>0.027647</td>\n",
       "      <td>8.772011</td>\n",
       "      <td>-3.152432</td>\n",
       "      <td>0.046324</td>\n",
       "      <td>-1.490269</td>\n",
       "      <td>0.040211</td>\n",
       "      <td>0.014925</td>\n",
       "      <td>0.335376</td>\n",
       "      <td>-0.254310</td>\n",
       "      <td>0.050735</td>\n",
       "      <td>0.008364</td>\n",
       "      <td>0.018283</td>\n",
       "      <td>-0.067988</td>\n",
       "      <td>-0.310927</td>\n",
       "      <td>0.087020</td>\n",
       "      <td>-0.022914</td>\n",
       "      <td>297</td>\n",
       "      <td>297</td>\n",
       "      <td>287</td>\n",
       "      <td>10</td>\n",
       "      <td>13.972279</td>\n",
       "      <td>759.69750</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>301.186700</td>\n",
       "      <td>1.355875</td>\n",
       "      <td>0.005890</td>\n",
       "      <td>0.045233</td>\n",
       "      <td>34</td>\n",
       "      <td>19</td>\n",
       "      <td>0.034535</td>\n",
       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>False</td>\n",
       "      <td>307</td>\n",
       "      <td>8.383159e+05</td>\n",
       "      <td>1.199283e+04</td>\n",
       "      <td>69.901410</td>\n",
       "      <td>10.879847</td>\n",
       "      <td>33</td>\n",
       "      <td>2.052092e+05</td>\n",
       "      <td>1.067908e+04</td>\n",
       "      <td>19.215992</td>\n",
       "      <td>12.070896</td>\n",
       "      <td>33</td>\n",
       "      <td>9.647794e+05</td>\n",
       "      <td>3.538718e+04</td>\n",
       "      <td>27.263530</td>\n",
       "      <td>9.800850</td>\n",
       "      <td>1.395642</td>\n",
       "      <td>0</td>\n",
       "      <td>2.270046</td>\n",
       "      <td>1.191050</td>\n",
       "      <td>1.078997</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>113.872795</td>\n",
       "      <td>1.958020</td>\n",
       "      <td>34.085018</td>\n",
       "      <td>57.571558</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3929.0750</td>\n",
       "      <td>3670.0000</td>\n",
       "      <td>4232.9730</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>67.693490</td>\n",
       "      <td>58.322550</td>\n",
       "      <td>77.588150</td>\n",
       "      <td>983.897340</td>\n",
       "      <td>798.39740</td>\n",
       "      <td>1169.397200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>88</td>\n",
       "      <td>CY Cas</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1577</td>\n",
       "      <td>7.861</td>\n",
       "      <td>7.174</td>\n",
       "      <td>6.903</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.69</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9849</td>\n",
       "      <td>432</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>352.30319</td>\n",
       "      <td>63.37431</td>\n",
       "      <td>0.089680</td>\n",
       "      <td>V* CY Cas</td>\n",
       "      <td>352.303175</td>\n",
       "      <td>63.374302</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>57</td>\n",
       "      <td>23 29 12.76196</td>\n",
       "      <td>+63 22 27.4874</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G1-2Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2425</td>\n",
       "      <td>-3.15</td>\n",
       "      <td>-1.49</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.480</td>\n",
       "      <td>11.670</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.748</td>\n",
       "      <td>7.017</td>\n",
       "      <td>6.732</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.054048</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2016626856473497344</td>\n",
       "      <td>14.375138</td>\n",
       "      <td>0.000211</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1659.390341</td>\n",
       "      <td>0.000298</td>\n",
       "      <td>1659.264478</td>\n",
       "      <td>0.000298</td>\n",
       "      <td>1659.513636</td>\n",
       "      <td>0.000298</td>\n",
       "      <td>10.775954</td>\n",
       "      <td>0.000251</td>\n",
       "      <td>11.942403</td>\n",
       "      <td>0.000271</td>\n",
       "      <td>9.716036</td>\n",
       "      <td>0.000142</td>\n",
       "      <td>0.761368</td>\n",
       "      <td>0.001083</td>\n",
       "      <td>0.985622</td>\n",
       "      <td>0.001329</td>\n",
       "      <td>0.646874</td>\n",
       "      <td>0.000691</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.165284</td>\n",
       "      <td>0.001186</td>\n",
       "      <td>0.144011</td>\n",
       "      <td>0.001105</td>\n",
       "      <td>4.554083</td>\n",
       "      <td>0.007688</td>\n",
       "      <td>1.750864</td>\n",
       "      <td>0.009760</td>\n",
       "      <td>32</td>\n",
       "      <td>31</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>125</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2027263738130844288</td>\n",
       "      <td>2027263738130844288</td>\n",
       "      <td>254991139</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>299.369183</td>\n",
       "      <td>0.025018</td>\n",
       "      <td>26.556450</td>\n",
       "      <td>0.029555</td>\n",
       "      <td>0.840803</td>\n",
       "      <td>0.039363</td>\n",
       "      <td>21.360090</td>\n",
       "      <td>-1.418909</td>\n",
       "      <td>0.061008</td>\n",
       "      <td>-4.043282</td>\n",
       "      <td>0.061322</td>\n",
       "      <td>-0.087384</td>\n",
       "      <td>-0.017530</td>\n",
       "      <td>-0.387693</td>\n",
       "      <td>-0.044292</td>\n",
       "      <td>0.169232</td>\n",
       "      <td>-0.080057</td>\n",
       "      <td>-0.308093</td>\n",
       "      <td>-0.213073</td>\n",
       "      <td>0.036463</td>\n",
       "      <td>0.002627</td>\n",
       "      <td>328</td>\n",
       "      <td>328</td>\n",
       "      <td>327</td>\n",
       "      <td>1</td>\n",
       "      <td>11.125657</td>\n",
       "      <td>693.78450</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>111.957214</td>\n",
       "      <td>1.424317</td>\n",
       "      <td>0.006979</td>\n",
       "      <td>0.062379</td>\n",
       "      <td>37</td>\n",
       "      <td>15</td>\n",
       "      <td>0.040551</td>\n",
       "      <td>0</td>\n",
       "      <td>43</td>\n",
       "      <td>False</td>\n",
       "      <td>352</td>\n",
       "      <td>3.912262e+06</td>\n",
       "      <td>2.430488e+05</td>\n",
       "      <td>16.096610</td>\n",
       "      <td>9.207296</td>\n",
       "      <td>39</td>\n",
       "      <td>2.779018e+06</td>\n",
       "      <td>1.005833e+05</td>\n",
       "      <td>27.629011</td>\n",
       "      <td>9.241660</td>\n",
       "      <td>39</td>\n",
       "      <td>9.265611e+06</td>\n",
       "      <td>2.040141e+05</td>\n",
       "      <td>45.416515</td>\n",
       "      <td>7.344735</td>\n",
       "      <td>3.078687</td>\n",
       "      <td>0</td>\n",
       "      <td>1.896925</td>\n",
       "      <td>0.034364</td>\n",
       "      <td>1.862562</td>\n",
       "      <td>-17.714554</td>\n",
       "      <td>3.074657</td>\n",
       "      <td>19</td>\n",
       "      <td>4250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>63.858070</td>\n",
       "      <td>-1.281809</td>\n",
       "      <td>309.227170</td>\n",
       "      <td>46.076535</td>\n",
       "      <td>102001.0</td>\n",
       "      <td>5143.4500</td>\n",
       "      <td>4284.4497</td>\n",
       "      <td>7020.6665</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>322</td>\n",
       "      <td>X Vul</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8007</td>\n",
       "      <td>5.912</td>\n",
       "      <td>5.424</td>\n",
       "      <td>5.194</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.13</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.95</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7560</td>\n",
       "      <td>449</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>299.36919</td>\n",
       "      <td>26.55647</td>\n",
       "      <td>0.076115</td>\n",
       "      <td>V* X Vul</td>\n",
       "      <td>299.369190</td>\n",
       "      <td>26.556467</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>143</td>\n",
       "      <td>19 57 28.60557</td>\n",
       "      <td>+26 33 23.2819</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-14.700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8Ia</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.8408</td>\n",
       "      <td>-1.42</td>\n",
       "      <td>-4.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.160</td>\n",
       "      <td>8.870</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.992</td>\n",
       "      <td>5.465</td>\n",
       "      <td>5.201</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.066418</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2027263738130844288</td>\n",
       "      <td>6.320590</td>\n",
       "      <td>0.000065</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1750.753159</td>\n",
       "      <td>0.000092</td>\n",
       "      <td>1750.711380</td>\n",
       "      <td>0.000092</td>\n",
       "      <td>1744.976521</td>\n",
       "      <td>0.000092</td>\n",
       "      <td>8.228785</td>\n",
       "      <td>0.000315</td>\n",
       "      <td>9.141551</td>\n",
       "      <td>0.000424</td>\n",
       "      <td>7.296252</td>\n",
       "      <td>0.000301</td>\n",
       "      <td>0.577033</td>\n",
       "      <td>0.001442</td>\n",
       "      <td>0.777359</td>\n",
       "      <td>0.002083</td>\n",
       "      <td>0.478578</td>\n",
       "      <td>0.000767</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.383096</td>\n",
       "      <td>0.001308</td>\n",
       "      <td>0.116501</td>\n",
       "      <td>0.001761</td>\n",
       "      <td>4.786683</td>\n",
       "      <td>0.003033</td>\n",
       "      <td>2.893626</td>\n",
       "      <td>0.011948</td>\n",
       "      <td>39</td>\n",
       "      <td>39</td>\n",
       "      <td>38</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>126</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2027951173435143680</td>\n",
       "      <td>2027951173435143680</td>\n",
       "      <td>1161240344</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>297.878764</td>\n",
       "      <td>0.019261</td>\n",
       "      <td>27.460207</td>\n",
       "      <td>0.024925</td>\n",
       "      <td>0.372855</td>\n",
       "      <td>0.030349</td>\n",
       "      <td>12.285450</td>\n",
       "      <td>-2.138872</td>\n",
       "      <td>0.045232</td>\n",
       "      <td>-5.819676</td>\n",
       "      <td>0.049686</td>\n",
       "      <td>-0.171374</td>\n",
       "      <td>0.013478</td>\n",
       "      <td>-0.275348</td>\n",
       "      <td>0.063842</td>\n",
       "      <td>0.056211</td>\n",
       "      <td>0.052380</td>\n",
       "      <td>-0.291347</td>\n",
       "      <td>-0.154613</td>\n",
       "      <td>-0.077917</td>\n",
       "      <td>-0.115193</td>\n",
       "      <td>306</td>\n",
       "      <td>306</td>\n",
       "      <td>304</td>\n",
       "      <td>2</td>\n",
       "      <td>6.016947</td>\n",
       "      <td>470.69138</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.634133e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>192.698930</td>\n",
       "      <td>1.430893</td>\n",
       "      <td>0.005879</td>\n",
       "      <td>-0.012111</td>\n",
       "      <td>35</td>\n",
       "      <td>17</td>\n",
       "      <td>0.036292</td>\n",
       "      <td>0</td>\n",
       "      <td>43</td>\n",
       "      <td>False</td>\n",
       "      <td>332</td>\n",
       "      <td>3.367893e+07</td>\n",
       "      <td>5.517007e+05</td>\n",
       "      <td>61.045647</td>\n",
       "      <td>6.869970</td>\n",
       "      <td>34</td>\n",
       "      <td>1.001397e+07</td>\n",
       "      <td>4.775172e+05</td>\n",
       "      <td>20.970911</td>\n",
       "      <td>7.849872</td>\n",
       "      <td>35</td>\n",
       "      <td>3.323984e+07</td>\n",
       "      <td>1.221588e+06</td>\n",
       "      <td>27.210348</td>\n",
       "      <td>5.957773</td>\n",
       "      <td>1.284299</td>\n",
       "      <td>0</td>\n",
       "      <td>1.892099</td>\n",
       "      <td>0.979902</td>\n",
       "      <td>0.912198</td>\n",
       "      <td>3.181571</td>\n",
       "      <td>4.344147</td>\n",
       "      <td>20</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>63.946922</td>\n",
       "      <td>0.321952</td>\n",
       "      <td>307.733355</td>\n",
       "      <td>47.313625</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3986.0598</td>\n",
       "      <td>3867.0000</td>\n",
       "      <td>4159.5000</td>\n",
       "      <td>0.5307</td>\n",
       "      <td>0.1340</td>\n",
       "      <td>2.0093</td>\n",
       "      <td>0.2210</td>\n",
       "      <td>0.0649</td>\n",
       "      <td>0.8464</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>265.976840</td>\n",
       "      <td>244.258220</td>\n",
       "      <td>282.607120</td>\n",
       "      <td>16090.058000</td>\n",
       "      <td>13982.48400</td>\n",
       "      <td>18197.630000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>319</td>\n",
       "      <td>SV Vul</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.6533</td>\n",
       "      <td>4.547</td>\n",
       "      <td>4.063</td>\n",
       "      <td>3.868</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.51</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7284</td>\n",
       "      <td>438</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>297.87878</td>\n",
       "      <td>27.46023</td>\n",
       "      <td>0.096337</td>\n",
       "      <td>V* SV Vul</td>\n",
       "      <td>297.878775</td>\n",
       "      <td>27.460232</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>381</td>\n",
       "      <td>19 51 30.90596</td>\n",
       "      <td>+27 27 36.8356</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-2.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8Ia</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3729</td>\n",
       "      <td>-2.14</td>\n",
       "      <td>-5.82</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.860</td>\n",
       "      <td>6.740</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.560</td>\n",
       "      <td>4.080</td>\n",
       "      <td>3.920</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.096104</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2027951173435143680</td>\n",
       "      <td>44.876209</td>\n",
       "      <td>0.001211</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1648.553938</td>\n",
       "      <td>0.001713</td>\n",
       "      <td>1649.013481</td>\n",
       "      <td>0.001713</td>\n",
       "      <td>1650.735640</td>\n",
       "      <td>0.001713</td>\n",
       "      <td>6.655574</td>\n",
       "      <td>0.000240</td>\n",
       "      <td>7.502061</td>\n",
       "      <td>0.000815</td>\n",
       "      <td>5.778805</td>\n",
       "      <td>0.000288</td>\n",
       "      <td>0.835770</td>\n",
       "      <td>0.001162</td>\n",
       "      <td>1.076631</td>\n",
       "      <td>0.002173</td>\n",
       "      <td>0.735720</td>\n",
       "      <td>0.001246</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.419352</td>\n",
       "      <td>0.000805</td>\n",
       "      <td>0.233430</td>\n",
       "      <td>0.001224</td>\n",
       "      <td>4.881202</td>\n",
       "      <td>0.003201</td>\n",
       "      <td>3.466566</td>\n",
       "      <td>0.005960</td>\n",
       "      <td>37</td>\n",
       "      <td>32</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>127</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2030063919381336832</td>\n",
       "      <td>2030063919381336832</td>\n",
       "      <td>457612760</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>299.794977</td>\n",
       "      <td>0.021196</td>\n",
       "      <td>29.450724</td>\n",
       "      <td>0.028575</td>\n",
       "      <td>0.400340</td>\n",
       "      <td>0.032269</td>\n",
       "      <td>12.406335</td>\n",
       "      <td>-2.510964</td>\n",
       "      <td>0.044112</td>\n",
       "      <td>-4.913599</td>\n",
       "      <td>0.052655</td>\n",
       "      <td>-0.268555</td>\n",
       "      <td>-0.080084</td>\n",
       "      <td>-0.260950</td>\n",
       "      <td>0.038417</td>\n",
       "      <td>0.257740</td>\n",
       "      <td>-0.011602</td>\n",
       "      <td>-0.311839</td>\n",
       "      <td>-0.141440</td>\n",
       "      <td>0.031325</td>\n",
       "      <td>-0.143449</td>\n",
       "      <td>277</td>\n",
       "      <td>277</td>\n",
       "      <td>269</td>\n",
       "      <td>8</td>\n",
       "      <td>6.421686</td>\n",
       "      <td>439.82095</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>240.626220</td>\n",
       "      <td>1.468749</td>\n",
       "      <td>0.006855</td>\n",
       "      <td>0.008869</td>\n",
       "      <td>31</td>\n",
       "      <td>15</td>\n",
       "      <td>0.037713</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>False</td>\n",
       "      <td>304</td>\n",
       "      <td>3.122751e+06</td>\n",
       "      <td>3.607916e+04</td>\n",
       "      <td>86.552750</td>\n",
       "      <td>9.452023</td>\n",
       "      <td>33</td>\n",
       "      <td>1.097712e+06</td>\n",
       "      <td>5.185439e+04</td>\n",
       "      <td>21.169132</td>\n",
       "      <td>10.250167</td>\n",
       "      <td>34</td>\n",
       "      <td>3.024627e+06</td>\n",
       "      <td>9.745626e+04</td>\n",
       "      <td>31.035738</td>\n",
       "      <td>8.560241</td>\n",
       "      <td>1.320099</td>\n",
       "      <td>0</td>\n",
       "      <td>1.689926</td>\n",
       "      <td>0.798144</td>\n",
       "      <td>0.891782</td>\n",
       "      <td>0.934613</td>\n",
       "      <td>10.315265</td>\n",
       "      <td>4</td>\n",
       "      <td>4000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>66.521997</td>\n",
       "      <td>-0.088969</td>\n",
       "      <td>311.000831</td>\n",
       "      <td>48.737061</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4258.0000</td>\n",
       "      <td>4131.4670</td>\n",
       "      <td>4486.6750</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>61.047016</td>\n",
       "      <td>54.982760</td>\n",
       "      <td>64.843610</td>\n",
       "      <td>1103.687700</td>\n",
       "      <td>963.96454</td>\n",
       "      <td>1243.410900</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>180</td>\n",
       "      <td>GH Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8931</td>\n",
       "      <td>7.251</td>\n",
       "      <td>6.799</td>\n",
       "      <td>6.577</td>\n",
       "      <td>0.21</td>\n",
       "      <td>0.18</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.67</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7351</td>\n",
       "      <td>435</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>299.79499</td>\n",
       "      <td>29.45074</td>\n",
       "      <td>0.071646</td>\n",
       "      <td>V* GH Cyg</td>\n",
       "      <td>299.794989</td>\n",
       "      <td>29.450745</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>62</td>\n",
       "      <td>19 59 10.79734</td>\n",
       "      <td>+29 27 02.6823</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |*  |IR</td>\n",
       "      <td>-11.300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4003</td>\n",
       "      <td>-2.51</td>\n",
       "      <td>-4.91</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.210</td>\n",
       "      <td>9.940</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.308</td>\n",
       "      <td>6.783</td>\n",
       "      <td>6.578</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.085529</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2030063919381336832</td>\n",
       "      <td>7.818231</td>\n",
       "      <td>0.000077</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1743.644444</td>\n",
       "      <td>0.000109</td>\n",
       "      <td>1743.621644</td>\n",
       "      <td>0.000109</td>\n",
       "      <td>1743.660710</td>\n",
       "      <td>0.000109</td>\n",
       "      <td>9.366789</td>\n",
       "      <td>0.000164</td>\n",
       "      <td>10.162450</td>\n",
       "      <td>0.000517</td>\n",
       "      <td>8.510693</td>\n",
       "      <td>0.000230</td>\n",
       "      <td>0.590825</td>\n",
       "      <td>0.000778</td>\n",
       "      <td>0.769231</td>\n",
       "      <td>0.001558</td>\n",
       "      <td>0.488888</td>\n",
       "      <td>0.001108</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.256142</td>\n",
       "      <td>0.000883</td>\n",
       "      <td>0.185820</td>\n",
       "      <td>0.001058</td>\n",
       "      <td>5.159439</td>\n",
       "      <td>0.006066</td>\n",
       "      <td>3.424274</td>\n",
       "      <td>0.004591</td>\n",
       "      <td>34</td>\n",
       "      <td>31</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>128</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2030427789026783488</td>\n",
       "      <td>2030427789026783488</td>\n",
       "      <td>993490792</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>299.454192</td>\n",
       "      <td>0.018037</td>\n",
       "      <td>30.265895</td>\n",
       "      <td>0.024721</td>\n",
       "      <td>0.216275</td>\n",
       "      <td>0.028992</td>\n",
       "      <td>7.459870</td>\n",
       "      <td>-2.495278</td>\n",
       "      <td>0.041489</td>\n",
       "      <td>-4.377131</td>\n",
       "      <td>0.047218</td>\n",
       "      <td>-0.120455</td>\n",
       "      <td>0.047278</td>\n",
       "      <td>-0.004621</td>\n",
       "      <td>0.004472</td>\n",
       "      <td>0.158660</td>\n",
       "      <td>-0.053041</td>\n",
       "      <td>-0.233764</td>\n",
       "      <td>-0.244194</td>\n",
       "      <td>-0.056873</td>\n",
       "      <td>-0.035354</td>\n",
       "      <td>294</td>\n",
       "      <td>294</td>\n",
       "      <td>288</td>\n",
       "      <td>6</td>\n",
       "      <td>8.077324</td>\n",
       "      <td>520.94073</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>305.361200</td>\n",
       "      <td>1.411151</td>\n",
       "      <td>0.006351</td>\n",
       "      <td>0.076140</td>\n",
       "      <td>34</td>\n",
       "      <td>17</td>\n",
       "      <td>0.034067</td>\n",
       "      <td>0</td>\n",
       "      <td>34</td>\n",
       "      <td>True</td>\n",
       "      <td>294</td>\n",
       "      <td>1.138753e+06</td>\n",
       "      <td>1.607476e+04</td>\n",
       "      <td>70.841070</td>\n",
       "      <td>10.547292</td>\n",
       "      <td>30</td>\n",
       "      <td>3.461804e+05</td>\n",
       "      <td>2.031768e+04</td>\n",
       "      <td>17.038383</td>\n",
       "      <td>11.503132</td>\n",
       "      <td>32</td>\n",
       "      <td>1.131941e+06</td>\n",
       "      <td>4.168396e+04</td>\n",
       "      <td>27.155302</td>\n",
       "      <td>9.627361</td>\n",
       "      <td>1.298017</td>\n",
       "      <td>0</td>\n",
       "      <td>1.875771</td>\n",
       "      <td>0.955840</td>\n",
       "      <td>0.919930</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>67.062022</td>\n",
       "      <td>0.589435</td>\n",
       "      <td>310.944698</td>\n",
       "      <td>49.603377</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4035.1934</td>\n",
       "      <td>3860.0000</td>\n",
       "      <td>4175.5703</td>\n",
       "      <td>0.8978</td>\n",
       "      <td>0.5830</td>\n",
       "      <td>1.5241</td>\n",
       "      <td>0.4060</td>\n",
       "      <td>0.2113</td>\n",
       "      <td>0.7132</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>81.094440</td>\n",
       "      <td>75.733520</td>\n",
       "      <td>88.622734</td>\n",
       "      <td>1570.848100</td>\n",
       "      <td>1228.60400</td>\n",
       "      <td>1913.092300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>179</td>\n",
       "      <td>EZ Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0667</td>\n",
       "      <td>8.190</td>\n",
       "      <td>7.667</td>\n",
       "      <td>7.460</td>\n",
       "      <td>0.28</td>\n",
       "      <td>0.25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.10</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7389</td>\n",
       "      <td>386</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>299.45423</td>\n",
       "      <td>30.26594</td>\n",
       "      <td>0.199274</td>\n",
       "      <td>V* EZ Cyg</td>\n",
       "      <td>299.454204</td>\n",
       "      <td>30.265914</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>35</td>\n",
       "      <td>19 57 49.00906</td>\n",
       "      <td>+30 15 57.2914</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>2.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G5V</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2163</td>\n",
       "      <td>-2.50</td>\n",
       "      <td>-4.38</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.450</td>\n",
       "      <td>11.210</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.163</td>\n",
       "      <td>7.567</td>\n",
       "      <td>7.366</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.078096</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2030427789026783488</td>\n",
       "      <td>11.663040</td>\n",
       "      <td>0.000199</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1736.924192</td>\n",
       "      <td>0.000281</td>\n",
       "      <td>1736.637543</td>\n",
       "      <td>0.000281</td>\n",
       "      <td>1736.963439</td>\n",
       "      <td>0.000281</td>\n",
       "      <td>10.416463</td>\n",
       "      <td>0.000318</td>\n",
       "      <td>11.284319</td>\n",
       "      <td>0.000365</td>\n",
       "      <td>9.522784</td>\n",
       "      <td>0.000218</td>\n",
       "      <td>0.684973</td>\n",
       "      <td>0.000517</td>\n",
       "      <td>0.909887</td>\n",
       "      <td>0.000714</td>\n",
       "      <td>0.563822</td>\n",
       "      <td>0.000464</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.197561</td>\n",
       "      <td>0.000740</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.850378</td>\n",
       "      <td>0.005571</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>32</td>\n",
       "      <td>28</td>\n",
       "      <td>30</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>129</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2030848897634605440</td>\n",
       "      <td>2030848897634605440</td>\n",
       "      <td>144989287</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>300.193141</td>\n",
       "      <td>0.019919</td>\n",
       "      <td>30.907590</td>\n",
       "      <td>0.030125</td>\n",
       "      <td>0.245333</td>\n",
       "      <td>0.031415</td>\n",
       "      <td>7.809437</td>\n",
       "      <td>-3.540651</td>\n",
       "      <td>0.044966</td>\n",
       "      <td>-6.244175</td>\n",
       "      <td>0.062103</td>\n",
       "      <td>-0.113861</td>\n",
       "      <td>-0.092320</td>\n",
       "      <td>-0.133442</td>\n",
       "      <td>0.031711</td>\n",
       "      <td>-0.013216</td>\n",
       "      <td>0.046526</td>\n",
       "      <td>-0.536884</td>\n",
       "      <td>-0.198796</td>\n",
       "      <td>0.167812</td>\n",
       "      <td>-0.144154</td>\n",
       "      <td>288</td>\n",
       "      <td>288</td>\n",
       "      <td>277</td>\n",
       "      <td>11</td>\n",
       "      <td>16.209345</td>\n",
       "      <td>850.85046</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.881132e-01</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>331.862760</td>\n",
       "      <td>1.375471</td>\n",
       "      <td>0.006338</td>\n",
       "      <td>-0.026937</td>\n",
       "      <td>33</td>\n",
       "      <td>17</td>\n",
       "      <td>0.045700</td>\n",
       "      <td>0</td>\n",
       "      <td>33</td>\n",
       "      <td>False</td>\n",
       "      <td>289</td>\n",
       "      <td>2.730393e+05</td>\n",
       "      <td>2.543505e+03</td>\n",
       "      <td>107.347660</td>\n",
       "      <td>12.097803</td>\n",
       "      <td>31</td>\n",
       "      <td>7.391619e+04</td>\n",
       "      <td>2.794283e+03</td>\n",
       "      <td>26.452654</td>\n",
       "      <td>13.179540</td>\n",
       "      <td>33</td>\n",
       "      <td>3.089351e+05</td>\n",
       "      <td>7.396503e+03</td>\n",
       "      <td>41.767723</td>\n",
       "      <td>11.037252</td>\n",
       "      <td>1.402184</td>\n",
       "      <td>0</td>\n",
       "      <td>2.142287</td>\n",
       "      <td>1.081737</td>\n",
       "      <td>1.060551</td>\n",
       "      <td>-25.034481</td>\n",
       "      <td>7.073876</td>\n",
       "      <td>2</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>67.942094</td>\n",
       "      <td>0.384600</td>\n",
       "      <td>312.187884</td>\n",
       "      <td>50.019154</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3791.0325</td>\n",
       "      <td>3570.5000</td>\n",
       "      <td>4410.9453</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>42.983578</td>\n",
       "      <td>31.750769</td>\n",
       "      <td>48.457333</td>\n",
       "      <td>343.819000</td>\n",
       "      <td>274.26816</td>\n",
       "      <td>413.369840</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>190</td>\n",
       "      <td>V1025 Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8427</td>\n",
       "      <td>9.534</td>\n",
       "      <td>8.849</td>\n",
       "      <td>8.562</td>\n",
       "      <td>0.23</td>\n",
       "      <td>0.20</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.28</td>\n",
       "      <td>0.06</td>\n",
       "      <td>7518</td>\n",
       "      <td>376</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>300.19317</td>\n",
       "      <td>30.90761</td>\n",
       "      <td>0.113032</td>\n",
       "      <td>V* V1025 Cyg</td>\n",
       "      <td>300.193159</td>\n",
       "      <td>30.907617</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>15</td>\n",
       "      <td>20 00 46.35819</td>\n",
       "      <td>+30 54 27.4224</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |IR</td>\n",
       "      <td>-25.030</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2453</td>\n",
       "      <td>-3.54</td>\n",
       "      <td>-6.24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.582</td>\n",
       "      <td>8.982</td>\n",
       "      <td>8.699</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.111261</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2030848897634605440</td>\n",
       "      <td>6.961104</td>\n",
       "      <td>0.000072</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1750.569901</td>\n",
       "      <td>0.000101</td>\n",
       "      <td>1750.564791</td>\n",
       "      <td>0.000101</td>\n",
       "      <td>1750.643135</td>\n",
       "      <td>0.000101</td>\n",
       "      <td>12.105646</td>\n",
       "      <td>0.000150</td>\n",
       "      <td>13.204833</td>\n",
       "      <td>0.000433</td>\n",
       "      <td>11.062824</td>\n",
       "      <td>0.000269</td>\n",
       "      <td>0.533007</td>\n",
       "      <td>0.000553</td>\n",
       "      <td>0.704856</td>\n",
       "      <td>0.001912</td>\n",
       "      <td>0.469174</td>\n",
       "      <td>0.001560</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.349310</td>\n",
       "      <td>0.001282</td>\n",
       "      <td>0.122099</td>\n",
       "      <td>0.001075</td>\n",
       "      <td>4.932021</td>\n",
       "      <td>0.003016</td>\n",
       "      <td>3.063404</td>\n",
       "      <td>0.010437</td>\n",
       "      <td>33</td>\n",
       "      <td>31</td>\n",
       "      <td>32</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>130</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2031776202613700480</td>\n",
       "      <td>2031776202613700480</td>\n",
       "      <td>230379557</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>296.203059</td>\n",
       "      <td>0.041193</td>\n",
       "      <td>29.264679</td>\n",
       "      <td>0.039622</td>\n",
       "      <td>1.169542</td>\n",
       "      <td>0.051569</td>\n",
       "      <td>22.679317</td>\n",
       "      <td>-1.853232</td>\n",
       "      <td>0.091582</td>\n",
       "      <td>-3.155185</td>\n",
       "      <td>0.075828</td>\n",
       "      <td>-0.214080</td>\n",
       "      <td>-0.230710</td>\n",
       "      <td>-0.305007</td>\n",
       "      <td>0.092279</td>\n",
       "      <td>0.260710</td>\n",
       "      <td>0.024158</td>\n",
       "      <td>-0.262096</td>\n",
       "      <td>-0.095993</td>\n",
       "      <td>-0.204450</td>\n",
       "      <td>-0.082698</td>\n",
       "      <td>310</td>\n",
       "      <td>310</td>\n",
       "      <td>302</td>\n",
       "      <td>8</td>\n",
       "      <td>31.865805</td>\n",
       "      <td>1944.94360</td>\n",
       "      <td>0.221378</td>\n",
       "      <td>2.047776e+01</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>16.428710</td>\n",
       "      <td>1.598077</td>\n",
       "      <td>0.011578</td>\n",
       "      <td>-0.029264</td>\n",
       "      <td>35</td>\n",
       "      <td>17</td>\n",
       "      <td>0.056018</td>\n",
       "      <td>0</td>\n",
       "      <td>38</td>\n",
       "      <td>False</td>\n",
       "      <td>325</td>\n",
       "      <td>3.534024e+07</td>\n",
       "      <td>3.494722e+05</td>\n",
       "      <td>101.124620</td>\n",
       "      <td>6.817692</td>\n",
       "      <td>35</td>\n",
       "      <td>1.785585e+07</td>\n",
       "      <td>5.582242e+05</td>\n",
       "      <td>31.986877</td>\n",
       "      <td>7.221937</td>\n",
       "      <td>35</td>\n",
       "      <td>2.475563e+07</td>\n",
       "      <td>6.118919e+05</td>\n",
       "      <td>40.457516</td>\n",
       "      <td>6.277735</td>\n",
       "      <td>1.205750</td>\n",
       "      <td>0</td>\n",
       "      <td>0.944201</td>\n",
       "      <td>0.404245</td>\n",
       "      <td>0.539957</td>\n",
       "      <td>-1.501929</td>\n",
       "      <td>6.884880</td>\n",
       "      <td>20</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>64.760217</td>\n",
       "      <td>2.505777</td>\n",
       "      <td>306.336681</td>\n",
       "      <td>49.451405</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5420.0000</td>\n",
       "      <td>5327.7000</td>\n",
       "      <td>5905.5000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>36.792140</td>\n",
       "      <td>30.991335</td>\n",
       "      <td>38.077995</td>\n",
       "      <td>1052.451200</td>\n",
       "      <td>988.33040</td>\n",
       "      <td>1116.571900</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>186</td>\n",
       "      <td>SU Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5850</td>\n",
       "      <td>5.629</td>\n",
       "      <td>5.390</td>\n",
       "      <td>5.268</td>\n",
       "      <td>-0.03</td>\n",
       "      <td>0.03</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.55</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7629</td>\n",
       "      <td>450</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>296.20306</td>\n",
       "      <td>29.26469</td>\n",
       "      <td>0.038804</td>\n",
       "      <td>V* SU Cyg</td>\n",
       "      <td>296.203069</td>\n",
       "      <td>29.264693</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>265</td>\n",
       "      <td>19 44 48.73645</td>\n",
       "      <td>+29 15 52.8941</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|UV |*  |IR |SB*</td>\n",
       "      <td>-13.460</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F2Iab:+B8.0V</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.1695</td>\n",
       "      <td>-1.85</td>\n",
       "      <td>-3.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.880</td>\n",
       "      <td>6.440</td>\n",
       "      <td>6.06</td>\n",
       "      <td>5.786</td>\n",
       "      <td>5.492</td>\n",
       "      <td>5.418</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.056717</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2031776202613700480</td>\n",
       "      <td>3.845987</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1756.030006</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1786.944676</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1756.117892</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>6.691485</td>\n",
       "      <td>0.000329</td>\n",
       "      <td>7.013296</td>\n",
       "      <td>0.000748</td>\n",
       "      <td>6.224464</td>\n",
       "      <td>0.000573</td>\n",
       "      <td>0.673846</td>\n",
       "      <td>0.001060</td>\n",
       "      <td>0.858006</td>\n",
       "      <td>0.002865</td>\n",
       "      <td>0.563248</td>\n",
       "      <td>0.001523</td>\n",
       "      <td>0.050803</td>\n",
       "      <td>0.219752</td>\n",
       "      <td>0.377337</td>\n",
       "      <td>0.000942</td>\n",
       "      <td>0.191597</td>\n",
       "      <td>0.001696</td>\n",
       "      <td>4.245489</td>\n",
       "      <td>0.005355</td>\n",
       "      <td>2.301166</td>\n",
       "      <td>0.007796</td>\n",
       "      <td>35</td>\n",
       "      <td>30</td>\n",
       "      <td>33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>131</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2033008274099620480</td>\n",
       "      <td>2033008274099620480</td>\n",
       "      <td>603965029</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>296.265343</td>\n",
       "      <td>0.018224</td>\n",
       "      <td>31.330774</td>\n",
       "      <td>0.026155</td>\n",
       "      <td>0.146688</td>\n",
       "      <td>0.028244</td>\n",
       "      <td>5.193652</td>\n",
       "      <td>-4.242271</td>\n",
       "      <td>0.042366</td>\n",
       "      <td>-7.928674</td>\n",
       "      <td>0.057538</td>\n",
       "      <td>-0.112770</td>\n",
       "      <td>0.028131</td>\n",
       "      <td>-0.093207</td>\n",
       "      <td>0.053973</td>\n",
       "      <td>0.196955</td>\n",
       "      <td>0.083953</td>\n",
       "      <td>-0.358387</td>\n",
       "      <td>-0.051678</td>\n",
       "      <td>-0.225865</td>\n",
       "      <td>-0.237467</td>\n",
       "      <td>256</td>\n",
       "      <td>256</td>\n",
       "      <td>253</td>\n",
       "      <td>3</td>\n",
       "      <td>2.982820</td>\n",
       "      <td>319.74820</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>323.022700</td>\n",
       "      <td>1.445644</td>\n",
       "      <td>0.005474</td>\n",
       "      <td>0.069069</td>\n",
       "      <td>29</td>\n",
       "      <td>16</td>\n",
       "      <td>0.043437</td>\n",
       "      <td>0</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>264</td>\n",
       "      <td>2.407644e+05</td>\n",
       "      <td>2.464331e+03</td>\n",
       "      <td>97.699690</td>\n",
       "      <td>12.234386</td>\n",
       "      <td>27</td>\n",
       "      <td>8.926900e+04</td>\n",
       "      <td>3.940769e+03</td>\n",
       "      <td>22.652689</td>\n",
       "      <td>12.974636</td>\n",
       "      <td>28</td>\n",
       "      <td>2.297719e+05</td>\n",
       "      <td>6.114752e+03</td>\n",
       "      <td>37.576650</td>\n",
       "      <td>11.358678</td>\n",
       "      <td>1.325117</td>\n",
       "      <td>0</td>\n",
       "      <td>1.615958</td>\n",
       "      <td>0.740251</td>\n",
       "      <td>0.875708</td>\n",
       "      <td>-0.442748</td>\n",
       "      <td>6.552558</td>\n",
       "      <td>9</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>66.580922</td>\n",
       "      <td>3.488537</td>\n",
       "      <td>307.313863</td>\n",
       "      <td>51.422313</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4344.3335</td>\n",
       "      <td>4222.3335</td>\n",
       "      <td>4482.0000</td>\n",
       "      <td>0.3880</td>\n",
       "      <td>0.2890</td>\n",
       "      <td>2.2438</td>\n",
       "      <td>0.1813</td>\n",
       "      <td>0.1366</td>\n",
       "      <td>1.0270</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>176</td>\n",
       "      <td>EP Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6323</td>\n",
       "      <td>10.112</td>\n",
       "      <td>9.687</td>\n",
       "      <td>9.483</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>-0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.73</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7674</td>\n",
       "      <td>339</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>296.26537</td>\n",
       "      <td>31.33081</td>\n",
       "      <td>0.153093</td>\n",
       "      <td>V* EP Cyg</td>\n",
       "      <td>296.265364</td>\n",
       "      <td>31.330809</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>32</td>\n",
       "      <td>19 45 03.68739</td>\n",
       "      <td>+31 19 50.9108</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-0.440</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1467</td>\n",
       "      <td>-4.24</td>\n",
       "      <td>-7.93</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.960</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.083</td>\n",
       "      <td>9.610</td>\n",
       "      <td>9.429</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.139380</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2033008274099620480</td>\n",
       "      <td>4.288974</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1784.335250</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>1784.331602</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>1784.357208</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>12.246517</td>\n",
       "      <td>0.000149</td>\n",
       "      <td>13.011872</td>\n",
       "      <td>0.000608</td>\n",
       "      <td>11.395352</td>\n",
       "      <td>0.000433</td>\n",
       "      <td>0.730180</td>\n",
       "      <td>0.000879</td>\n",
       "      <td>0.943394</td>\n",
       "      <td>0.003922</td>\n",
       "      <td>0.613841</td>\n",
       "      <td>0.002776</td>\n",
       "      <td>-0.123739</td>\n",
       "      <td>0.224979</td>\n",
       "      <td>0.436481</td>\n",
       "      <td>0.000717</td>\n",
       "      <td>0.264266</td>\n",
       "      <td>0.000790</td>\n",
       "      <td>4.468850</td>\n",
       "      <td>0.002022</td>\n",
       "      <td>2.998332</td>\n",
       "      <td>0.004197</td>\n",
       "      <td>30</td>\n",
       "      <td>27</td>\n",
       "      <td>27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>132</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2034428980559814400</td>\n",
       "      <td>2034428980559814400</td>\n",
       "      <td>1522570994</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>299.890444</td>\n",
       "      <td>0.020025</td>\n",
       "      <td>33.746035</td>\n",
       "      <td>0.025370</td>\n",
       "      <td>0.212112</td>\n",
       "      <td>0.026476</td>\n",
       "      <td>8.011462</td>\n",
       "      <td>-3.387118</td>\n",
       "      <td>0.043977</td>\n",
       "      <td>-6.244939</td>\n",
       "      <td>0.051390</td>\n",
       "      <td>-0.015431</td>\n",
       "      <td>0.043950</td>\n",
       "      <td>-0.296125</td>\n",
       "      <td>-0.054915</td>\n",
       "      <td>0.146865</td>\n",
       "      <td>-0.067860</td>\n",
       "      <td>-0.470198</td>\n",
       "      <td>-0.163526</td>\n",
       "      <td>-0.093647</td>\n",
       "      <td>-0.071316</td>\n",
       "      <td>299</td>\n",
       "      <td>299</td>\n",
       "      <td>286</td>\n",
       "      <td>13</td>\n",
       "      <td>16.188044</td>\n",
       "      <td>864.56335</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>9.643304e-01</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>373.088620</td>\n",
       "      <td>1.404245</td>\n",
       "      <td>0.005788</td>\n",
       "      <td>0.098877</td>\n",
       "      <td>35</td>\n",
       "      <td>16</td>\n",
       "      <td>0.039496</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>False</td>\n",
       "      <td>311</td>\n",
       "      <td>6.673091e+05</td>\n",
       "      <td>4.838544e+03</td>\n",
       "      <td>137.915280</td>\n",
       "      <td>11.127548</td>\n",
       "      <td>33</td>\n",
       "      <td>2.095155e+05</td>\n",
       "      <td>7.328632e+03</td>\n",
       "      <td>28.588623</td>\n",
       "      <td>12.048347</td>\n",
       "      <td>33</td>\n",
       "      <td>7.021208e+05</td>\n",
       "      <td>1.479295e+04</td>\n",
       "      <td>47.463215</td>\n",
       "      <td>10.145890</td>\n",
       "      <td>1.366138</td>\n",
       "      <td>0</td>\n",
       "      <td>1.902457</td>\n",
       "      <td>0.920799</td>\n",
       "      <td>0.981658</td>\n",
       "      <td>-9.146704</td>\n",
       "      <td>3.123032</td>\n",
       "      <td>5</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>70.222280</td>\n",
       "      <td>2.095078</td>\n",
       "      <td>313.253372</td>\n",
       "      <td>52.790595</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3819.0000</td>\n",
       "      <td>3754.0000</td>\n",
       "      <td>3906.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>75.862180</td>\n",
       "      <td>72.520400</td>\n",
       "      <td>78.512020</td>\n",
       "      <td>1102.920000</td>\n",
       "      <td>872.23290</td>\n",
       "      <td>1333.607200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>181</td>\n",
       "      <td>GI Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7621</td>\n",
       "      <td>8.756</td>\n",
       "      <td>8.225</td>\n",
       "      <td>7.985</td>\n",
       "      <td>0.27</td>\n",
       "      <td>0.24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.57</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7494</td>\n",
       "      <td>412</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>299.89050</td>\n",
       "      <td>33.74608</td>\n",
       "      <td>0.233489</td>\n",
       "      <td>V* GI Cyg</td>\n",
       "      <td>299.890461</td>\n",
       "      <td>33.746062</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>32</td>\n",
       "      <td>19 59 33.71069</td>\n",
       "      <td>+33 44 45.8233</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>IR |cC*|*  |V*</td>\n",
       "      <td>-9.150</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2121</td>\n",
       "      <td>-3.39</td>\n",
       "      <td>-6.25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.703</td>\n",
       "      <td>8.170</td>\n",
       "      <td>7.930</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.110117</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2034428980559814400</td>\n",
       "      <td>5.782899</td>\n",
       "      <td>0.000064</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1750.719454</td>\n",
       "      <td>0.000091</td>\n",
       "      <td>1750.670180</td>\n",
       "      <td>0.000091</td>\n",
       "      <td>1750.713991</td>\n",
       "      <td>0.000091</td>\n",
       "      <td>11.051561</td>\n",
       "      <td>0.000301</td>\n",
       "      <td>11.989856</td>\n",
       "      <td>0.000593</td>\n",
       "      <td>10.122124</td>\n",
       "      <td>0.000309</td>\n",
       "      <td>0.459090</td>\n",
       "      <td>0.000570</td>\n",
       "      <td>0.676462</td>\n",
       "      <td>0.002777</td>\n",
       "      <td>0.405069</td>\n",
       "      <td>0.000933</td>\n",
       "      <td>0.396170</td>\n",
       "      <td>0.233790</td>\n",
       "      <td>0.290057</td>\n",
       "      <td>0.001260</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.648080</td>\n",
       "      <td>0.006256</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>33</td>\n",
       "      <td>32</td>\n",
       "      <td>33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>133</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2034684200359279488</td>\n",
       "      <td>2034684200359279488</td>\n",
       "      <td>1441433908</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>297.822008</td>\n",
       "      <td>0.015192</td>\n",
       "      <td>32.675530</td>\n",
       "      <td>0.020205</td>\n",
       "      <td>0.026979</td>\n",
       "      <td>0.021050</td>\n",
       "      <td>1.281636</td>\n",
       "      <td>-1.963319</td>\n",
       "      <td>0.032594</td>\n",
       "      <td>-3.609330</td>\n",
       "      <td>0.041717</td>\n",
       "      <td>-0.100996</td>\n",
       "      <td>0.108017</td>\n",
       "      <td>-0.125055</td>\n",
       "      <td>-0.131026</td>\n",
       "      <td>0.008075</td>\n",
       "      <td>-0.124474</td>\n",
       "      <td>-0.327290</td>\n",
       "      <td>-0.111998</td>\n",
       "      <td>-0.024595</td>\n",
       "      <td>-0.154348</td>\n",
       "      <td>282</td>\n",
       "      <td>63</td>\n",
       "      <td>278</td>\n",
       "      <td>4</td>\n",
       "      <td>9.137273</td>\n",
       "      <td>545.94507</td>\n",
       "      <td>0.098051</td>\n",
       "      <td>3.108649e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>55.884500</td>\n",
       "      <td>1.382128</td>\n",
       "      <td>0.005052</td>\n",
       "      <td>-0.013587</td>\n",
       "      <td>32</td>\n",
       "      <td>17</td>\n",
       "      <td>0.045182</td>\n",
       "      <td>0</td>\n",
       "      <td>33</td>\n",
       "      <td>False</td>\n",
       "      <td>291</td>\n",
       "      <td>9.671549e+04</td>\n",
       "      <td>1.215324e+03</td>\n",
       "      <td>79.579970</td>\n",
       "      <td>13.224626</td>\n",
       "      <td>30</td>\n",
       "      <td>2.597834e+04</td>\n",
       "      <td>1.191087e+03</td>\n",
       "      <td>21.810621</td>\n",
       "      <td>14.314859</td>\n",
       "      <td>28</td>\n",
       "      <td>1.098054e+05</td>\n",
       "      <td>4.115690e+03</td>\n",
       "      <td>26.679710</td>\n",
       "      <td>12.160360</td>\n",
       "      <td>1.403950</td>\n",
       "      <td>0</td>\n",
       "      <td>2.154499</td>\n",
       "      <td>1.090234</td>\n",
       "      <td>1.064265</td>\n",
       "      <td>-73.273438</td>\n",
       "      <td>13.434591</td>\n",
       "      <td>5</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>68.410138</td>\n",
       "      <td>3.024247</td>\n",
       "      <td>309.996392</td>\n",
       "      <td>52.321333</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3577.3333</td>\n",
       "      <td>3488.0000</td>\n",
       "      <td>4008.6501</td>\n",
       "      <td>0.8295</td>\n",
       "      <td>0.3799</td>\n",
       "      <td>1.2511</td>\n",
       "      <td>0.3800</td>\n",
       "      <td>0.1879</td>\n",
       "      <td>0.6192</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>177</td>\n",
       "      <td>EU Cyg</td>\n",
       "      <td>CEP</td>\n",
       "      <td>1.1758</td>\n",
       "      <td>10.177</td>\n",
       "      <td>9.679</td>\n",
       "      <td>9.456</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15.47</td>\n",
       "      <td>0.06</td>\n",
       "      <td>11847</td>\n",
       "      <td>314</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>297.82204</td>\n",
       "      <td>32.67553</td>\n",
       "      <td>0.098184</td>\n",
       "      <td>V* EU Cyg</td>\n",
       "      <td>297.822018</td>\n",
       "      <td>32.675545</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>24</td>\n",
       "      <td>19 51 17.28423</td>\n",
       "      <td>+32 40 31.9632</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |IR |*</td>\n",
       "      <td>-73.270</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0270</td>\n",
       "      <td>-1.96</td>\n",
       "      <td>-3.61</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.282</td>\n",
       "      <td>9.751</td>\n",
       "      <td>9.518</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.063686</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2034684200359279488</td>\n",
       "      <td>15.003358</td>\n",
       "      <td>0.000113</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1724.545108</td>\n",
       "      <td>0.000160</td>\n",
       "      <td>1724.433096</td>\n",
       "      <td>0.000160</td>\n",
       "      <td>1723.579753</td>\n",
       "      <td>0.000160</td>\n",
       "      <td>13.122855</td>\n",
       "      <td>0.000135</td>\n",
       "      <td>14.177913</td>\n",
       "      <td>0.000886</td>\n",
       "      <td>12.049168</td>\n",
       "      <td>0.000586</td>\n",
       "      <td>0.649324</td>\n",
       "      <td>0.000674</td>\n",
       "      <td>0.830093</td>\n",
       "      <td>0.003787</td>\n",
       "      <td>0.649433</td>\n",
       "      <td>0.002098</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.267429</td>\n",
       "      <td>0.001045</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.403805</td>\n",
       "      <td>0.004881</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>32</td>\n",
       "      <td>30</td>\n",
       "      <td>27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>134</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2045359534871088384</td>\n",
       "      <td>2045359534871088384</td>\n",
       "      <td>1602452412</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>294.548251</td>\n",
       "      <td>0.020929</td>\n",
       "      <td>32.489550</td>\n",
       "      <td>0.024137</td>\n",
       "      <td>0.048016</td>\n",
       "      <td>0.029711</td>\n",
       "      <td>1.616138</td>\n",
       "      <td>-3.575877</td>\n",
       "      <td>0.044403</td>\n",
       "      <td>-4.336464</td>\n",
       "      <td>0.049376</td>\n",
       "      <td>-0.083000</td>\n",
       "      <td>-0.125166</td>\n",
       "      <td>-0.059411</td>\n",
       "      <td>-0.036921</td>\n",
       "      <td>0.165101</td>\n",
       "      <td>-0.092117</td>\n",
       "      <td>-0.282756</td>\n",
       "      <td>-0.302601</td>\n",
       "      <td>0.072321</td>\n",
       "      <td>-0.000793</td>\n",
       "      <td>240</td>\n",
       "      <td>240</td>\n",
       "      <td>238</td>\n",
       "      <td>2</td>\n",
       "      <td>5.073810</td>\n",
       "      <td>359.69604</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>277.551640</td>\n",
       "      <td>1.548903</td>\n",
       "      <td>0.006149</td>\n",
       "      <td>0.056746</td>\n",
       "      <td>27</td>\n",
       "      <td>16</td>\n",
       "      <td>0.035378</td>\n",
       "      <td>0</td>\n",
       "      <td>30</td>\n",
       "      <td>False</td>\n",
       "      <td>267</td>\n",
       "      <td>1.264891e+06</td>\n",
       "      <td>5.917782e+03</td>\n",
       "      <td>213.744100</td>\n",
       "      <td>10.433233</td>\n",
       "      <td>27</td>\n",
       "      <td>5.843924e+05</td>\n",
       "      <td>1.136470e+04</td>\n",
       "      <td>51.421734</td>\n",
       "      <td>10.934627</td>\n",
       "      <td>27</td>\n",
       "      <td>9.554459e+05</td>\n",
       "      <td>1.082727e+04</td>\n",
       "      <td>88.244430</td>\n",
       "      <td>9.811404</td>\n",
       "      <td>1.217368</td>\n",
       "      <td>0</td>\n",
       "      <td>1.123222</td>\n",
       "      <td>0.501393</td>\n",
       "      <td>0.621829</td>\n",
       "      <td>-15.164106</td>\n",
       "      <td>3.771283</td>\n",
       "      <td>6</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>66.876230</td>\n",
       "      <td>5.327144</td>\n",
       "      <td>305.556371</td>\n",
       "      <td>52.940980</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4997.3335</td>\n",
       "      <td>4925.9500</td>\n",
       "      <td>5109.5800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>214</td>\n",
       "      <td>V924 Cyg</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.7460</td>\n",
       "      <td>8.963</td>\n",
       "      <td>8.654</td>\n",
       "      <td>8.511</td>\n",
       "      <td>-0.09</td>\n",
       "      <td>-0.03</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.03</td>\n",
       "      <td>0.08</td>\n",
       "      <td>7987</td>\n",
       "      <td>321</td>\n",
       "      <td>c*</td>\n",
       "      <td>LII</td>\n",
       "      <td>294.54827</td>\n",
       "      <td>32.48957</td>\n",
       "      <td>0.091894</td>\n",
       "      <td>V* V924 Cyg</td>\n",
       "      <td>294.548270</td>\n",
       "      <td>32.489569</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>65</td>\n",
       "      <td>19 38 11.58472</td>\n",
       "      <td>+32 29 22.4467</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-12.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8I</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0480</td>\n",
       "      <td>-3.58</td>\n",
       "      <td>-4.34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.480</td>\n",
       "      <td>10.750</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.963</td>\n",
       "      <td>8.654</td>\n",
       "      <td>8.511</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.087120</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2045359534871088384</td>\n",
       "      <td>5.571475</td>\n",
       "      <td>0.000061</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1752.157634</td>\n",
       "      <td>0.000087</td>\n",
       "      <td>1752.182470</td>\n",
       "      <td>0.000087</td>\n",
       "      <td>1752.287384</td>\n",
       "      <td>0.000087</td>\n",
       "      <td>10.453171</td>\n",
       "      <td>0.000080</td>\n",
       "      <td>10.952610</td>\n",
       "      <td>0.000206</td>\n",
       "      <td>9.823290</td>\n",
       "      <td>0.000171</td>\n",
       "      <td>0.231231</td>\n",
       "      <td>0.000248</td>\n",
       "      <td>0.287394</td>\n",
       "      <td>0.000734</td>\n",
       "      <td>0.177561</td>\n",
       "      <td>0.000707</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.150623</td>\n",
       "      <td>0.002260</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.469024</td>\n",
       "      <td>0.008356</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>28</td>\n",
       "      <td>24</td>\n",
       "      <td>25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>135</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2055014277739104896</td>\n",
       "      <td>2055014277739104896</td>\n",
       "      <td>930719790</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>303.095106</td>\n",
       "      <td>0.025849</td>\n",
       "      <td>32.871600</td>\n",
       "      <td>0.038724</td>\n",
       "      <td>0.697229</td>\n",
       "      <td>0.038827</td>\n",
       "      <td>17.957233</td>\n",
       "      <td>-3.514217</td>\n",
       "      <td>0.055053</td>\n",
       "      <td>-5.101493</td>\n",
       "      <td>0.069224</td>\n",
       "      <td>-0.178341</td>\n",
       "      <td>-0.002898</td>\n",
       "      <td>-0.394466</td>\n",
       "      <td>0.109245</td>\n",
       "      <td>0.337821</td>\n",
       "      <td>0.046938</td>\n",
       "      <td>-0.577649</td>\n",
       "      <td>-0.151287</td>\n",
       "      <td>-0.115253</td>\n",
       "      <td>-0.184875</td>\n",
       "      <td>230</td>\n",
       "      <td>230</td>\n",
       "      <td>229</td>\n",
       "      <td>1</td>\n",
       "      <td>6.984062</td>\n",
       "      <td>405.73580</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>182.914430</td>\n",
       "      <td>1.434985</td>\n",
       "      <td>0.008453</td>\n",
       "      <td>-0.016384</td>\n",
       "      <td>26</td>\n",
       "      <td>15</td>\n",
       "      <td>0.049495</td>\n",
       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>False</td>\n",
       "      <td>274</td>\n",
       "      <td>4.565578e+06</td>\n",
       "      <td>4.388210e+04</td>\n",
       "      <td>104.041940</td>\n",
       "      <td>9.039626</td>\n",
       "      <td>30</td>\n",
       "      <td>1.559242e+06</td>\n",
       "      <td>6.602472e+04</td>\n",
       "      <td>23.616040</td>\n",
       "      <td>9.869104</td>\n",
       "      <td>31</td>\n",
       "      <td>4.588715e+06</td>\n",
       "      <td>1.242697e+05</td>\n",
       "      <td>36.925450</td>\n",
       "      <td>8.107693</td>\n",
       "      <td>1.346589</td>\n",
       "      <td>0</td>\n",
       "      <td>1.761412</td>\n",
       "      <td>0.829478</td>\n",
       "      <td>0.931933</td>\n",
       "      <td>-0.764033</td>\n",
       "      <td>7.028776</td>\n",
       "      <td>7</td>\n",
       "      <td>4250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>70.923834</td>\n",
       "      <td>-0.633393</td>\n",
       "      <td>316.865653</td>\n",
       "      <td>51.064936</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3938.5598</td>\n",
       "      <td>3816.0000</td>\n",
       "      <td>4288.6400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>54.509680</td>\n",
       "      <td>45.973686</td>\n",
       "      <td>58.067326</td>\n",
       "      <td>644.157100</td>\n",
       "      <td>590.88560</td>\n",
       "      <td>697.428600</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>185</td>\n",
       "      <td>MW Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7749</td>\n",
       "      <td>6.688</td>\n",
       "      <td>6.206</td>\n",
       "      <td>5.984</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.66</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7605</td>\n",
       "      <td>445</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>303.09512</td>\n",
       "      <td>32.87162</td>\n",
       "      <td>0.081953</td>\n",
       "      <td>V* MW Cyg</td>\n",
       "      <td>303.095124</td>\n",
       "      <td>32.871622</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>96</td>\n",
       "      <td>20 12 22.82979</td>\n",
       "      <td>+32 52 17.8407</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR |SB*</td>\n",
       "      <td>-13.760</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8.5-G2Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.6972</td>\n",
       "      <td>-3.51</td>\n",
       "      <td>-5.10</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.710</td>\n",
       "      <td>9.450</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.552</td>\n",
       "      <td>6.108</td>\n",
       "      <td>5.927</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.096019</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2055014277739104896</td>\n",
       "      <td>5.955901</td>\n",
       "      <td>0.000069</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1779.756726</td>\n",
       "      <td>0.000098</td>\n",
       "      <td>1779.813999</td>\n",
       "      <td>0.000098</td>\n",
       "      <td>1779.958817</td>\n",
       "      <td>0.000098</td>\n",
       "      <td>8.913636</td>\n",
       "      <td>0.000231</td>\n",
       "      <td>9.755757</td>\n",
       "      <td>0.000235</td>\n",
       "      <td>8.018409</td>\n",
       "      <td>0.000163</td>\n",
       "      <td>0.566436</td>\n",
       "      <td>0.000584</td>\n",
       "      <td>0.762481</td>\n",
       "      <td>0.001123</td>\n",
       "      <td>0.491028</td>\n",
       "      <td>0.000773</td>\n",
       "      <td>-0.046926</td>\n",
       "      <td>0.233844</td>\n",
       "      <td>0.421360</td>\n",
       "      <td>0.001703</td>\n",
       "      <td>0.142465</td>\n",
       "      <td>0.001713</td>\n",
       "      <td>4.762828</td>\n",
       "      <td>0.004418</td>\n",
       "      <td>2.790470</td>\n",
       "      <td>0.011770</td>\n",
       "      <td>31</td>\n",
       "      <td>26</td>\n",
       "      <td>26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>136</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2055122987639665664</td>\n",
       "      <td>2055122987639665664</td>\n",
       "      <td>1090090767</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>301.336089</td>\n",
       "      <td>0.022954</td>\n",
       "      <td>32.659089</td>\n",
       "      <td>0.028225</td>\n",
       "      <td>0.338865</td>\n",
       "      <td>0.033482</td>\n",
       "      <td>10.120688</td>\n",
       "      <td>-2.986995</td>\n",
       "      <td>0.050326</td>\n",
       "      <td>-5.642381</td>\n",
       "      <td>0.054385</td>\n",
       "      <td>-0.144140</td>\n",
       "      <td>-0.112675</td>\n",
       "      <td>-0.131423</td>\n",
       "      <td>0.003673</td>\n",
       "      <td>0.199546</td>\n",
       "      <td>-0.046324</td>\n",
       "      <td>-0.226040</td>\n",
       "      <td>-0.192559</td>\n",
       "      <td>-0.054565</td>\n",
       "      <td>-0.105645</td>\n",
       "      <td>283</td>\n",
       "      <td>283</td>\n",
       "      <td>281</td>\n",
       "      <td>2</td>\n",
       "      <td>19.385605</td>\n",
       "      <td>1026.32930</td>\n",
       "      <td>0.097454</td>\n",
       "      <td>4.340702e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>71.372795</td>\n",
       "      <td>1.364350</td>\n",
       "      <td>0.007563</td>\n",
       "      <td>0.014767</td>\n",
       "      <td>32</td>\n",
       "      <td>17</td>\n",
       "      <td>0.038013</td>\n",
       "      <td>0</td>\n",
       "      <td>34</td>\n",
       "      <td>False</td>\n",
       "      <td>301</td>\n",
       "      <td>2.247780e+05</td>\n",
       "      <td>2.420226e+03</td>\n",
       "      <td>92.874820</td>\n",
       "      <td>12.308981</td>\n",
       "      <td>33</td>\n",
       "      <td>5.957993e+04</td>\n",
       "      <td>2.741203e+03</td>\n",
       "      <td>21.734959</td>\n",
       "      <td>13.413638</td>\n",
       "      <td>32</td>\n",
       "      <td>2.614700e+05</td>\n",
       "      <td>7.788451e+03</td>\n",
       "      <td>33.571495</td>\n",
       "      <td>11.218366</td>\n",
       "      <td>1.428297</td>\n",
       "      <td>0</td>\n",
       "      <td>2.195272</td>\n",
       "      <td>1.104657</td>\n",
       "      <td>1.090615</td>\n",
       "      <td>-20.376293</td>\n",
       "      <td>7.743201</td>\n",
       "      <td>5</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>69.942081</td>\n",
       "      <td>0.493184</td>\n",
       "      <td>314.528781</td>\n",
       "      <td>51.365704</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4136.5850</td>\n",
       "      <td>3645.7500</td>\n",
       "      <td>4843.3170</td>\n",
       "      <td>1.6785</td>\n",
       "      <td>1.3660</td>\n",
       "      <td>1.9030</td>\n",
       "      <td>0.8090</td>\n",
       "      <td>0.6575</td>\n",
       "      <td>0.8915</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>21.204123</td>\n",
       "      <td>15.467440</td>\n",
       "      <td>27.297976</td>\n",
       "      <td>118.605034</td>\n",
       "      <td>100.45180</td>\n",
       "      <td>136.758270</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>191</td>\n",
       "      <td>V1033 Cyg</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.6935</td>\n",
       "      <td>9.503</td>\n",
       "      <td>8.918</td>\n",
       "      <td>8.673</td>\n",
       "      <td>0.12</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.99</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7559</td>\n",
       "      <td>394</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>301.33625</td>\n",
       "      <td>32.65889</td>\n",
       "      <td>0.867899</td>\n",
       "      <td>V* V1033 Cyg</td>\n",
       "      <td>301.336104</td>\n",
       "      <td>32.659113</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>22</td>\n",
       "      <td>20 05 20.66494</td>\n",
       "      <td>+32 39 32.8085</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>IR |Ce*|V* |*</td>\n",
       "      <td>-20.380</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3389</td>\n",
       "      <td>-2.99</td>\n",
       "      <td>-5.64</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.59</td>\n",
       "      <td>9.417</td>\n",
       "      <td>8.801</td>\n",
       "      <td>8.557</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.098956</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2055122987639665664</td>\n",
       "      <td>4.950448</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1752.009086</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>1751.878642</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>1751.972779</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>12.267409</td>\n",
       "      <td>0.000198</td>\n",
       "      <td>13.375583</td>\n",
       "      <td>0.000785</td>\n",
       "      <td>11.209880</td>\n",
       "      <td>0.000395</td>\n",
       "      <td>0.531867</td>\n",
       "      <td>0.000388</td>\n",
       "      <td>0.722343</td>\n",
       "      <td>0.001808</td>\n",
       "      <td>0.471078</td>\n",
       "      <td>0.001013</td>\n",
       "      <td>0.218924</td>\n",
       "      <td>0.224979</td>\n",
       "      <td>0.336486</td>\n",
       "      <td>0.000730</td>\n",
       "      <td>0.150074</td>\n",
       "      <td>0.000663</td>\n",
       "      <td>4.409389</td>\n",
       "      <td>0.003448</td>\n",
       "      <td>2.562258</td>\n",
       "      <td>0.005238</td>\n",
       "      <td>34</td>\n",
       "      <td>33</td>\n",
       "      <td>32</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>137</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2058374144759464064</td>\n",
       "      <td>2058374144759464064</td>\n",
       "      <td>1471063221</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>301.110662</td>\n",
       "      <td>0.026118</td>\n",
       "      <td>34.112250</td>\n",
       "      <td>0.025665</td>\n",
       "      <td>0.380758</td>\n",
       "      <td>0.033244</td>\n",
       "      <td>11.453321</td>\n",
       "      <td>-2.001122</td>\n",
       "      <td>0.054387</td>\n",
       "      <td>-5.561869</td>\n",
       "      <td>0.048571</td>\n",
       "      <td>-0.061659</td>\n",
       "      <td>-0.017956</td>\n",
       "      <td>-0.296871</td>\n",
       "      <td>0.016537</td>\n",
       "      <td>0.289192</td>\n",
       "      <td>-0.041510</td>\n",
       "      <td>-0.286938</td>\n",
       "      <td>-0.194902</td>\n",
       "      <td>-0.096440</td>\n",
       "      <td>-0.006036</td>\n",
       "      <td>267</td>\n",
       "      <td>267</td>\n",
       "      <td>265</td>\n",
       "      <td>2</td>\n",
       "      <td>4.187452</td>\n",
       "      <td>366.81622</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.750894e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>146.244350</td>\n",
       "      <td>1.439832</td>\n",
       "      <td>0.007507</td>\n",
       "      <td>0.039988</td>\n",
       "      <td>30</td>\n",
       "      <td>16</td>\n",
       "      <td>0.037748</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>False</td>\n",
       "      <td>280</td>\n",
       "      <td>6.612469e+06</td>\n",
       "      <td>9.741331e+04</td>\n",
       "      <td>67.880550</td>\n",
       "      <td>8.637457</td>\n",
       "      <td>30</td>\n",
       "      <td>2.357036e+06</td>\n",
       "      <td>1.484461e+05</td>\n",
       "      <td>15.878060</td>\n",
       "      <td>9.420472</td>\n",
       "      <td>30</td>\n",
       "      <td>6.744537e+06</td>\n",
       "      <td>2.858368e+05</td>\n",
       "      <td>23.595760</td>\n",
       "      <td>7.689540</td>\n",
       "      <td>1.376426</td>\n",
       "      <td>0</td>\n",
       "      <td>1.730932</td>\n",
       "      <td>0.783015</td>\n",
       "      <td>0.947917</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>71.069156</td>\n",
       "      <td>1.429769</td>\n",
       "      <td>315.033885</td>\n",
       "      <td>52.797759</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4119.4670</td>\n",
       "      <td>3993.1850</td>\n",
       "      <td>4325.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>103.732700</td>\n",
       "      <td>94.107765</td>\n",
       "      <td>110.397390</td>\n",
       "      <td>2791.837200</td>\n",
       "      <td>2412.07150</td>\n",
       "      <td>3171.602800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>174</td>\n",
       "      <td>CD Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.2323</td>\n",
       "      <td>6.347</td>\n",
       "      <td>5.842</td>\n",
       "      <td>5.647</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.86</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7513</td>\n",
       "      <td>431</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>301.11067</td>\n",
       "      <td>34.11227</td>\n",
       "      <td>0.075228</td>\n",
       "      <td>V* CD Cyg</td>\n",
       "      <td>301.110672</td>\n",
       "      <td>34.112274</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>173</td>\n",
       "      <td>20 04 26.56128</td>\n",
       "      <td>+34 06 44.1873</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-12.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8-G5Iab-Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3808</td>\n",
       "      <td>-2.00</td>\n",
       "      <td>-5.56</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.350</td>\n",
       "      <td>8.350</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.473</td>\n",
       "      <td>5.866</td>\n",
       "      <td>5.642</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.091619</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2058374144759464064</td>\n",
       "      <td>17.073690</td>\n",
       "      <td>0.000545</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1730.674952</td>\n",
       "      <td>0.000771</td>\n",
       "      <td>1730.866327</td>\n",
       "      <td>0.000771</td>\n",
       "      <td>1730.988461</td>\n",
       "      <td>0.000771</td>\n",
       "      <td>8.464866</td>\n",
       "      <td>0.000434</td>\n",
       "      <td>9.241757</td>\n",
       "      <td>0.000590</td>\n",
       "      <td>7.604907</td>\n",
       "      <td>0.000560</td>\n",
       "      <td>0.933663</td>\n",
       "      <td>0.007674</td>\n",
       "      <td>1.231460</td>\n",
       "      <td>0.003253</td>\n",
       "      <td>0.723480</td>\n",
       "      <td>0.002281</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.184092</td>\n",
       "      <td>0.004017</td>\n",
       "      <td>0.265615</td>\n",
       "      <td>0.002950</td>\n",
       "      <td>4.463782</td>\n",
       "      <td>0.008997</td>\n",
       "      <td>2.028620</td>\n",
       "      <td>0.008943</td>\n",
       "      <td>29</td>\n",
       "      <td>28</td>\n",
       "      <td>28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>138</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2059598687167348352</td>\n",
       "      <td>2059598687167348352</td>\n",
       "      <td>747771428</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>299.442064</td>\n",
       "      <td>0.020409</td>\n",
       "      <td>35.636048</td>\n",
       "      <td>0.024633</td>\n",
       "      <td>0.103604</td>\n",
       "      <td>0.026959</td>\n",
       "      <td>3.843004</td>\n",
       "      <td>-4.130740</td>\n",
       "      <td>0.043705</td>\n",
       "      <td>-6.018140</td>\n",
       "      <td>0.049679</td>\n",
       "      <td>-0.034720</td>\n",
       "      <td>0.162657</td>\n",
       "      <td>-0.297761</td>\n",
       "      <td>0.035309</td>\n",
       "      <td>0.157476</td>\n",
       "      <td>0.008070</td>\n",
       "      <td>-0.422914</td>\n",
       "      <td>-0.171860</td>\n",
       "      <td>-0.014985</td>\n",
       "      <td>-0.045007</td>\n",
       "      <td>237</td>\n",
       "      <td>219</td>\n",
       "      <td>236</td>\n",
       "      <td>1</td>\n",
       "      <td>3.206792</td>\n",
       "      <td>306.20517</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>237.706530</td>\n",
       "      <td>1.398440</td>\n",
       "      <td>0.006859</td>\n",
       "      <td>0.075074</td>\n",
       "      <td>27</td>\n",
       "      <td>16</td>\n",
       "      <td>0.038492</td>\n",
       "      <td>0</td>\n",
       "      <td>28</td>\n",
       "      <td>False</td>\n",
       "      <td>246</td>\n",
       "      <td>1.612055e+05</td>\n",
       "      <td>1.713400e+03</td>\n",
       "      <td>94.085110</td>\n",
       "      <td>12.669916</td>\n",
       "      <td>28</td>\n",
       "      <td>4.628590e+04</td>\n",
       "      <td>2.057488e+03</td>\n",
       "      <td>22.496315</td>\n",
       "      <td>13.687766</td>\n",
       "      <td>27</td>\n",
       "      <td>1.721159e+05</td>\n",
       "      <td>4.883802e+03</td>\n",
       "      <td>35.242184</td>\n",
       "      <td>11.672368</td>\n",
       "      <td>1.354804</td>\n",
       "      <td>0</td>\n",
       "      <td>2.015398</td>\n",
       "      <td>1.017850</td>\n",
       "      <td>0.997548</td>\n",
       "      <td>-133.102971</td>\n",
       "      <td>5.212274</td>\n",
       "      <td>5</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>71.643641</td>\n",
       "      <td>3.396038</td>\n",
       "      <td>313.729938</td>\n",
       "      <td>54.695497</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4116.1104</td>\n",
       "      <td>3684.0000</td>\n",
       "      <td>4778.9550</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>211</td>\n",
       "      <td>V547 Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7942</td>\n",
       "      <td>10.065</td>\n",
       "      <td>9.530</td>\n",
       "      <td>9.316</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.02</td>\n",
       "      <td>0.06</td>\n",
       "      <td>8468</td>\n",
       "      <td>328</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>299.44208</td>\n",
       "      <td>35.63608</td>\n",
       "      <td>0.123247</td>\n",
       "      <td>V* V547 Cyg</td>\n",
       "      <td>299.442086</td>\n",
       "      <td>35.636074</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>31</td>\n",
       "      <td>19 57 46.10053</td>\n",
       "      <td>+35 38 09.8677</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>IR |cC*|V*</td>\n",
       "      <td>-133.100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1036</td>\n",
       "      <td>-4.13</td>\n",
       "      <td>-6.02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.920</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.017</td>\n",
       "      <td>9.576</td>\n",
       "      <td>9.375</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.113140</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2059598687167348352</td>\n",
       "      <td>6.225428</td>\n",
       "      <td>0.000052</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1748.766005</td>\n",
       "      <td>0.000074</td>\n",
       "      <td>1779.919735</td>\n",
       "      <td>0.000074</td>\n",
       "      <td>1779.873829</td>\n",
       "      <td>0.000074</td>\n",
       "      <td>12.679548</td>\n",
       "      <td>0.000485</td>\n",
       "      <td>13.693255</td>\n",
       "      <td>0.001519</td>\n",
       "      <td>11.688664</td>\n",
       "      <td>0.003643</td>\n",
       "      <td>0.704400</td>\n",
       "      <td>0.001606</td>\n",
       "      <td>1.205587</td>\n",
       "      <td>0.010043</td>\n",
       "      <td>0.616104</td>\n",
       "      <td>0.017399</td>\n",
       "      <td>-0.017526</td>\n",
       "      <td>0.233782</td>\n",
       "      <td>0.412648</td>\n",
       "      <td>0.000969</td>\n",
       "      <td>0.166208</td>\n",
       "      <td>0.001316</td>\n",
       "      <td>4.713027</td>\n",
       "      <td>0.003269</td>\n",
       "      <td>2.884054</td>\n",
       "      <td>0.011340</td>\n",
       "      <td>28</td>\n",
       "      <td>25</td>\n",
       "      <td>25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>139</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2060021625508894592</td>\n",
       "      <td>2060021625508894592</td>\n",
       "      <td>89085998</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>302.282319</td>\n",
       "      <td>0.020166</td>\n",
       "      <td>37.151953</td>\n",
       "      <td>0.026258</td>\n",
       "      <td>0.399355</td>\n",
       "      <td>0.027886</td>\n",
       "      <td>14.320792</td>\n",
       "      <td>-2.543835</td>\n",
       "      <td>0.043892</td>\n",
       "      <td>-3.593641</td>\n",
       "      <td>0.054672</td>\n",
       "      <td>-0.165763</td>\n",
       "      <td>0.021520</td>\n",
       "      <td>-0.305818</td>\n",
       "      <td>0.082022</td>\n",
       "      <td>0.068157</td>\n",
       "      <td>0.082819</td>\n",
       "      <td>-0.320605</td>\n",
       "      <td>-0.030910</td>\n",
       "      <td>-0.137979</td>\n",
       "      <td>-0.187915</td>\n",
       "      <td>241</td>\n",
       "      <td>241</td>\n",
       "      <td>238</td>\n",
       "      <td>3</td>\n",
       "      <td>1.156853</td>\n",
       "      <td>258.16138</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>247.672270</td>\n",
       "      <td>1.515426</td>\n",
       "      <td>0.006908</td>\n",
       "      <td>0.034849</td>\n",
       "      <td>27</td>\n",
       "      <td>14</td>\n",
       "      <td>0.041346</td>\n",
       "      <td>0</td>\n",
       "      <td>29</td>\n",
       "      <td>True</td>\n",
       "      <td>249</td>\n",
       "      <td>2.849804e+06</td>\n",
       "      <td>2.062533e+04</td>\n",
       "      <td>138.170060</td>\n",
       "      <td>9.551329</td>\n",
       "      <td>29</td>\n",
       "      <td>1.166178e+06</td>\n",
       "      <td>3.218256e+04</td>\n",
       "      <td>36.236350</td>\n",
       "      <td>10.184476</td>\n",
       "      <td>29</td>\n",
       "      <td>2.360546e+06</td>\n",
       "      <td>4.284779e+04</td>\n",
       "      <td>55.091440</td>\n",
       "      <td>8.829389</td>\n",
       "      <td>1.237533</td>\n",
       "      <td>0</td>\n",
       "      <td>1.355087</td>\n",
       "      <td>0.633147</td>\n",
       "      <td>0.721940</td>\n",
       "      <td>-13.152885</td>\n",
       "      <td>5.759114</td>\n",
       "      <td>6</td>\n",
       "      <td>4750.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>74.145009</td>\n",
       "      <td>2.263571</td>\n",
       "      <td>318.395729</td>\n",
       "      <td>55.298817</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4675.0625</td>\n",
       "      <td>4585.8833</td>\n",
       "      <td>4756.5000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>44.447186</td>\n",
       "      <td>42.938225</td>\n",
       "      <td>46.192673</td>\n",
       "      <td>850.223140</td>\n",
       "      <td>752.42175</td>\n",
       "      <td>948.024540</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>202</td>\n",
       "      <td>V402 Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6400</td>\n",
       "      <td>7.799</td>\n",
       "      <td>7.411</td>\n",
       "      <td>7.247</td>\n",
       "      <td>0.02</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.57</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7638</td>\n",
       "      <td>436</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>302.28233</td>\n",
       "      <td>37.15197</td>\n",
       "      <td>0.070344</td>\n",
       "      <td>V* V402 Cyg</td>\n",
       "      <td>302.282333</td>\n",
       "      <td>37.151968</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>78</td>\n",
       "      <td>20 09 07.75982</td>\n",
       "      <td>+37 09 07.0851</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-13.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0III</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3994</td>\n",
       "      <td>-2.54</td>\n",
       "      <td>-3.59</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.900</td>\n",
       "      <td>9.870</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.707</td>\n",
       "      <td>7.354</td>\n",
       "      <td>7.202</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.068245</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2060021625508894592</td>\n",
       "      <td>4.364697</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1782.770874</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>1782.761809</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>1782.924441</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>9.494727</td>\n",
       "      <td>0.000129</td>\n",
       "      <td>10.097331</td>\n",
       "      <td>0.001129</td>\n",
       "      <td>8.771823</td>\n",
       "      <td>0.000197</td>\n",
       "      <td>0.464933</td>\n",
       "      <td>0.000635</td>\n",
       "      <td>0.642820</td>\n",
       "      <td>0.004255</td>\n",
       "      <td>0.383066</td>\n",
       "      <td>0.001278</td>\n",
       "      <td>0.224527</td>\n",
       "      <td>0.225000</td>\n",
       "      <td>0.334851</td>\n",
       "      <td>0.001319</td>\n",
       "      <td>0.113981</td>\n",
       "      <td>0.000999</td>\n",
       "      <td>4.381418</td>\n",
       "      <td>0.003517</td>\n",
       "      <td>2.662839</td>\n",
       "      <td>0.008312</td>\n",
       "      <td>27</td>\n",
       "      <td>26</td>\n",
       "      <td>27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>140</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2060460704279873536</td>\n",
       "      <td>2060460704279873536</td>\n",
       "      <td>1250803952</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>304.197882</td>\n",
       "      <td>0.022678</td>\n",
       "      <td>36.549943</td>\n",
       "      <td>0.025108</td>\n",
       "      <td>0.266504</td>\n",
       "      <td>0.029118</td>\n",
       "      <td>9.152502</td>\n",
       "      <td>-3.039513</td>\n",
       "      <td>0.044483</td>\n",
       "      <td>-4.147631</td>\n",
       "      <td>0.047350</td>\n",
       "      <td>0.075870</td>\n",
       "      <td>0.289577</td>\n",
       "      <td>-0.365226</td>\n",
       "      <td>-0.103035</td>\n",
       "      <td>0.175430</td>\n",
       "      <td>-0.130050</td>\n",
       "      <td>-0.405971</td>\n",
       "      <td>-0.335557</td>\n",
       "      <td>-0.080599</td>\n",
       "      <td>-0.013040</td>\n",
       "      <td>244</td>\n",
       "      <td>244</td>\n",
       "      <td>238</td>\n",
       "      <td>6</td>\n",
       "      <td>9.910186</td>\n",
       "      <td>517.94920</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.840374e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>360.849100</td>\n",
       "      <td>1.375993</td>\n",
       "      <td>0.007366</td>\n",
       "      <td>0.048021</td>\n",
       "      <td>29</td>\n",
       "      <td>16</td>\n",
       "      <td>0.035288</td>\n",
       "      <td>0</td>\n",
       "      <td>30</td>\n",
       "      <td>False</td>\n",
       "      <td>252</td>\n",
       "      <td>4.148815e+05</td>\n",
       "      <td>3.538158e+03</td>\n",
       "      <td>117.259160</td>\n",
       "      <td>11.643556</td>\n",
       "      <td>28</td>\n",
       "      <td>1.138342e+05</td>\n",
       "      <td>4.209457e+03</td>\n",
       "      <td>27.042486</td>\n",
       "      <td>12.710707</td>\n",
       "      <td>28</td>\n",
       "      <td>4.751029e+05</td>\n",
       "      <td>1.147379e+04</td>\n",
       "      <td>41.407684</td>\n",
       "      <td>10.569951</td>\n",
       "      <td>1.419531</td>\n",
       "      <td>0</td>\n",
       "      <td>2.140756</td>\n",
       "      <td>1.067151</td>\n",
       "      <td>1.073605</td>\n",
       "      <td>9.626803</td>\n",
       "      <td>5.735844</td>\n",
       "      <td>6</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>74.487220</td>\n",
       "      <td>0.652725</td>\n",
       "      <td>320.460364</td>\n",
       "      <td>54.162583</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3849.8699</td>\n",
       "      <td>3576.5000</td>\n",
       "      <td>4451.6100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>46.360410</td>\n",
       "      <td>34.674095</td>\n",
       "      <td>53.718376</td>\n",
       "      <td>425.376400</td>\n",
       "      <td>350.02307</td>\n",
       "      <td>500.729740</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>192</td>\n",
       "      <td>V1046 Cyg</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.6941</td>\n",
       "      <td>8.978</td>\n",
       "      <td>8.257</td>\n",
       "      <td>8.012</td>\n",
       "      <td>0.23</td>\n",
       "      <td>0.20</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.22</td>\n",
       "      <td>0.06</td>\n",
       "      <td>7679</td>\n",
       "      <td>423</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>304.19787</td>\n",
       "      <td>36.54997</td>\n",
       "      <td>0.104236</td>\n",
       "      <td>V* V1046 Cyg</td>\n",
       "      <td>304.197899</td>\n",
       "      <td>36.549961</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>17</td>\n",
       "      <td>20 16 47.49565</td>\n",
       "      <td>+36 32 59.8583</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |*  |IR</td>\n",
       "      <td>9.630</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2665</td>\n",
       "      <td>-3.04</td>\n",
       "      <td>-4.15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.981</td>\n",
       "      <td>8.342</td>\n",
       "      <td>8.104</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.079703</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2060460704279873536</td>\n",
       "      <td>4.945241</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1753.646884</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>1753.609459</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>1753.643256</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>11.570402</td>\n",
       "      <td>0.000134</td>\n",
       "      <td>12.651858</td>\n",
       "      <td>0.000311</td>\n",
       "      <td>10.540228</td>\n",
       "      <td>0.000161</td>\n",
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       "      <td>0.000877</td>\n",
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       "      <td>0.001211</td>\n",
       "      <td>0.340614</td>\n",
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       "      <td>0.001376</td>\n",
       "      <td>0.098651</td>\n",
       "      <td>0.001799</td>\n",
       "      <td>4.502743</td>\n",
       "      <td>0.004065</td>\n",
       "      <td>2.785080</td>\n",
       "      <td>0.014280</td>\n",
       "      <td>29</td>\n",
       "      <td>27</td>\n",
       "      <td>26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>141</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2070224337474904064</td>\n",
       "      <td>2070224337474904064</td>\n",
       "      <td>973079153</td>\n",
       "      <td>2015.5</td>\n",
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       "      <td>0.027407</td>\n",
       "      <td>0.447371</td>\n",
       "      <td>0.029270</td>\n",
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       "      <td>-4.962476</td>\n",
       "      <td>0.049343</td>\n",
       "      <td>-5.128424</td>\n",
       "      <td>0.050350</td>\n",
       "      <td>-0.022919</td>\n",
       "      <td>0.184865</td>\n",
       "      <td>-0.247546</td>\n",
       "      <td>-0.100368</td>\n",
       "      <td>0.285124</td>\n",
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       "      <td>-0.319138</td>\n",
       "      <td>-0.123022</td>\n",
       "      <td>-0.079850</td>\n",
       "      <td>-0.108348</td>\n",
       "      <td>222</td>\n",
       "      <td>222</td>\n",
       "      <td>213</td>\n",
       "      <td>9</td>\n",
       "      <td>9.651269</td>\n",
       "      <td>472.32320</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>264.578250</td>\n",
       "      <td>1.401004</td>\n",
       "      <td>0.007526</td>\n",
       "      <td>-0.023020</td>\n",
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       "      <td>16</td>\n",
       "      <td>0.037501</td>\n",
       "      <td>0</td>\n",
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       "      <td>False</td>\n",
       "      <td>232</td>\n",
       "      <td>3.119844e+06</td>\n",
       "      <td>2.877246e+04</td>\n",
       "      <td>108.431610</td>\n",
       "      <td>9.453033</td>\n",
       "      <td>27</td>\n",
       "      <td>8.416468e+05</td>\n",
       "      <td>2.855988e+04</td>\n",
       "      <td>29.469551</td>\n",
       "      <td>10.538564</td>\n",
       "      <td>27</td>\n",
       "      <td>3.265262e+06</td>\n",
       "      <td>7.835205e+04</td>\n",
       "      <td>41.674240</td>\n",
       "      <td>8.477125</td>\n",
       "      <td>1.316383</td>\n",
       "      <td>0</td>\n",
       "      <td>2.061439</td>\n",
       "      <td>1.085530</td>\n",
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       "      <td>0</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>84.802500</td>\n",
       "      <td>1.383313</td>\n",
       "      <td>336.719233</td>\n",
       "      <td>59.514159</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4040.4453</td>\n",
       "      <td>3797.0000</td>\n",
       "      <td>5004.3335</td>\n",
       "      <td>1.1120</td>\n",
       "      <td>0.8077</td>\n",
       "      <td>1.6470</td>\n",
       "      <td>0.5390</td>\n",
       "      <td>0.4009</td>\n",
       "      <td>0.9050</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>64.611534</td>\n",
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       "      <td>73.162290</td>\n",
       "      <td>1002.378540</td>\n",
       "      <td>895.96140</td>\n",
       "      <td>1108.795700</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>173</td>\n",
       "      <td>BZ Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0061</td>\n",
       "      <td>6.758</td>\n",
       "      <td>6.147</td>\n",
       "      <td>5.864</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.25</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>11.19</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7971</td>\n",
       "      <td>441</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>311.49918</td>\n",
       "      <td>45.30699</td>\n",
       "      <td>0.238963</td>\n",
       "      <td>V* BZ Cyg</td>\n",
       "      <td>311.499157</td>\n",
       "      <td>45.306957</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>84</td>\n",
       "      <td>20 45 59.79771</td>\n",
       "      <td>+45 18 25.0462</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-11.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7Ib-G4Ib:</td>\n",
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       "      <td>0.4474</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>11.800</td>\n",
       "      <td>10.200</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.110613</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>2070224337474904064</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>1739.932986</td>\n",
       "      <td>0.000247</td>\n",
       "      <td>1740.382771</td>\n",
       "      <td>0.000247</td>\n",
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       "      <td>FUNDAMENTAL</td>\n",
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       "    <tr>\n",
       "      <th>142</th>\n",
       "      <td>1635721458409799680</td>\n",
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       "      <td>0.361573</td>\n",
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       "      <td>0.045821</td>\n",
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       "      <td>0.051657</td>\n",
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       "      <td>-0.287672</td>\n",
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       "      <td>0.341398</td>\n",
       "      <td>0.040648</td>\n",
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       "      <td>-0.014862</td>\n",
       "      <td>-0.208372</td>\n",
       "      <td>-0.207603</td>\n",
       "      <td>228</td>\n",
       "      <td>228</td>\n",
       "      <td>227</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
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       "      <td>1.402592</td>\n",
       "      <td>0.006563</td>\n",
       "      <td>0.049170</td>\n",
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       "      <td>14</td>\n",
       "      <td>0.041521</td>\n",
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       "      <td>False</td>\n",
       "      <td>263</td>\n",
       "      <td>4.685525e+06</td>\n",
       "      <td>5.279592e+04</td>\n",
       "      <td>88.747856</td>\n",
       "      <td>9.011470</td>\n",
       "      <td>29</td>\n",
       "      <td>1.531964e+06</td>\n",
       "      <td>7.505278e+04</td>\n",
       "      <td>20.411829</td>\n",
       "      <td>9.888267</td>\n",
       "      <td>30</td>\n",
       "      <td>4.947849e+06</td>\n",
       "      <td>1.620675e+05</td>\n",
       "      <td>30.529562</td>\n",
       "      <td>8.025879</td>\n",
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       "      <td>1.862388</td>\n",
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       "      <td>0.985591</td>\n",
       "      <td>15.650653</td>\n",
       "      <td>6.226415</td>\n",
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       "      <td>2466.174600</td>\n",
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       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>187</td>\n",
       "      <td>SZ Cyg</td>\n",
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       "      <td>5.957</td>\n",
       "      <td>5.709</td>\n",
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       "      <td>0.05</td>\n",
       "      <td>8023</td>\n",
       "      <td>435</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
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       "      <td>46.60127</td>\n",
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       "      <td>V* SZ Cyg</td>\n",
       "      <td>308.226225</td>\n",
       "      <td>46.601273</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>129</td>\n",
       "      <td>20 32 54.29400</td>\n",
       "      <td>+46 36 04.5823</td>\n",
       "      <td>deltaCep</td>\n",
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       "      <td>-11.200</td>\n",
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       "      <td>F7.5/8-G6.5Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3616</td>\n",
       "      <td>-2.26</td>\n",
       "      <td>-5.42</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.800</td>\n",
       "      <td>9.370</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.385</td>\n",
       "      <td>5.894</td>\n",
       "      <td>5.710</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.090993</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2071433765909167232</td>\n",
       "      <td>15.119457</td>\n",
       "      <td>0.000152</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1693.464396</td>\n",
       "      <td>0.000215</td>\n",
       "      <td>1693.139607</td>\n",
       "      <td>0.000215</td>\n",
       "      <td>1693.404200</td>\n",
       "      <td>0.000215</td>\n",
       "      <td>8.817142</td>\n",
       "      <td>0.000201</td>\n",
       "      <td>9.729524</td>\n",
       "      <td>0.000504</td>\n",
       "      <td>7.911070</td>\n",
       "      <td>0.000247</td>\n",
       "      <td>0.741361</td>\n",
       "      <td>0.001130</td>\n",
       "      <td>0.920835</td>\n",
       "      <td>0.002141</td>\n",
       "      <td>0.596281</td>\n",
       "      <td>0.001067</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.291058</td>\n",
       "      <td>0.001717</td>\n",
       "      <td>0.169735</td>\n",
       "      <td>0.001590</td>\n",
       "      <td>4.705325</td>\n",
       "      <td>0.003433</td>\n",
       "      <td>2.107970</td>\n",
       "      <td>0.005720</td>\n",
       "      <td>30</td>\n",
       "      <td>26</td>\n",
       "      <td>27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>143</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2073935223599391872</td>\n",
       "      <td>2073935223599391872</td>\n",
       "      <td>505335513</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>300.894573</td>\n",
       "      <td>0.014595</td>\n",
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       "      <td>0.017721</td>\n",
       "      <td>0.033020</td>\n",
       "      <td>0.018866</td>\n",
       "      <td>1.750216</td>\n",
       "      <td>-2.699015</td>\n",
       "      <td>0.031828</td>\n",
       "      <td>-5.063924</td>\n",
       "      <td>0.036970</td>\n",
       "      <td>0.059305</td>\n",
       "      <td>0.001988</td>\n",
       "      <td>-0.153848</td>\n",
       "      <td>-0.226750</td>\n",
       "      <td>0.239832</td>\n",
       "      <td>-0.252694</td>\n",
       "      <td>-0.195674</td>\n",
       "      <td>-0.154203</td>\n",
       "      <td>-0.028047</td>\n",
       "      <td>-0.000488</td>\n",
       "      <td>218</td>\n",
       "      <td>35</td>\n",
       "      <td>218</td>\n",
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       "      <td>-0.369044</td>\n",
       "      <td>204.82327</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>128.258350</td>\n",
       "      <td>1.462571</td>\n",
       "      <td>0.004117</td>\n",
       "      <td>-0.008590</td>\n",
       "      <td>25</td>\n",
       "      <td>15</td>\n",
       "      <td>0.041993</td>\n",
       "      <td>0</td>\n",
       "      <td>28</td>\n",
       "      <td>False</td>\n",
       "      <td>236</td>\n",
       "      <td>9.130339e+04</td>\n",
       "      <td>1.246627e+03</td>\n",
       "      <td>73.240330</td>\n",
       "      <td>13.287148</td>\n",
       "      <td>27</td>\n",
       "      <td>3.367525e+04</td>\n",
       "      <td>1.825607e+03</td>\n",
       "      <td>18.446056</td>\n",
       "      <td>14.033111</td>\n",
       "      <td>26</td>\n",
       "      <td>8.652148e+04</td>\n",
       "      <td>2.936499e+03</td>\n",
       "      <td>29.464159</td>\n",
       "      <td>12.419110</td>\n",
       "      <td>1.316454</td>\n",
       "      <td>0</td>\n",
       "      <td>1.614000</td>\n",
       "      <td>0.745962</td>\n",
       "      <td>0.868038</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>75.257052</td>\n",
       "      <td>4.260734</td>\n",
       "      <td>317.936616</td>\n",
       "      <td>57.569676</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4278.0000</td>\n",
       "      <td>4147.4850</td>\n",
       "      <td>4391.1826</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>182</td>\n",
       "      <td>GL Cyg</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.5277</td>\n",
       "      <td>11.173</td>\n",
       "      <td>10.633</td>\n",
       "      <td>10.481</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.32</td>\n",
       "      <td>0.07</td>\n",
       "      <td>9314</td>\n",
       "      <td>320</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>300.89454</td>\n",
       "      <td>39.15964</td>\n",
       "      <td>0.104446</td>\n",
       "      <td>V* GL Cyg</td>\n",
       "      <td>300.894588</td>\n",
       "      <td>39.159648</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>27</td>\n",
       "      <td>20 03 34.70105</td>\n",
       "      <td>+39 09 34.7318</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |*  |IR</td>\n",
       "      <td>-59.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0330</td>\n",
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       "      <td>-5.06</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.301</td>\n",
       "      <td>10.757</td>\n",
       "      <td>10.601</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.088944</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2073935223599391872</td>\n",
       "      <td>3.370309</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1757.284892</td>\n",
       "      <td>0.000040</td>\n",
       "      <td>1757.350567</td>\n",
       "      <td>0.000040</td>\n",
       "      <td>1757.354468</td>\n",
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       "      <td>13.224464</td>\n",
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       "      <td>13.963414</td>\n",
       "      <td>0.000820</td>\n",
       "      <td>12.383941</td>\n",
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       "      <td>0.002090</td>\n",
       "      <td>-0.032425</td>\n",
       "      <td>0.219750</td>\n",
       "      <td>0.402741</td>\n",
       "      <td>0.000983</td>\n",
       "      <td>0.183406</td>\n",
       "      <td>0.001148</td>\n",
       "      <td>4.251993</td>\n",
       "      <td>0.003465</td>\n",
       "      <td>2.270598</td>\n",
       "      <td>0.006666</td>\n",
       "      <td>27</td>\n",
       "      <td>25</td>\n",
       "      <td>26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>144</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2078709577944648192</td>\n",
       "      <td>2078709577944648192</td>\n",
       "      <td>595826290</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>297.064434</td>\n",
       "      <td>0.018594</td>\n",
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       "      <td>0.023174</td>\n",
       "      <td>0.413399</td>\n",
       "      <td>0.023407</td>\n",
       "      <td>17.661072</td>\n",
       "      <td>-1.608606</td>\n",
       "      <td>0.038553</td>\n",
       "      <td>-3.600815</td>\n",
       "      <td>0.041983</td>\n",
       "      <td>0.032649</td>\n",
       "      <td>0.017095</td>\n",
       "      <td>-0.105063</td>\n",
       "      <td>-0.097532</td>\n",
       "      <td>0.256291</td>\n",
       "      <td>-0.146989</td>\n",
       "      <td>-0.279604</td>\n",
       "      <td>-0.211143</td>\n",
       "      <td>-0.103453</td>\n",
       "      <td>0.013747</td>\n",
       "      <td>238</td>\n",
       "      <td>238</td>\n",
       "      <td>233</td>\n",
       "      <td>5</td>\n",
       "      <td>4.131594</td>\n",
       "      <td>327.24704</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>249.462430</td>\n",
       "      <td>1.546916</td>\n",
       "      <td>0.006066</td>\n",
       "      <td>0.055914</td>\n",
       "      <td>27</td>\n",
       "      <td>16</td>\n",
       "      <td>0.033242</td>\n",
       "      <td>0</td>\n",
       "      <td>34</td>\n",
       "      <td>False</td>\n",
       "      <td>264</td>\n",
       "      <td>5.000746e+06</td>\n",
       "      <td>2.303052e+04</td>\n",
       "      <td>217.135640</td>\n",
       "      <td>8.940779</td>\n",
       "      <td>29</td>\n",
       "      <td>2.256007e+06</td>\n",
       "      <td>3.929689e+04</td>\n",
       "      <td>57.409310</td>\n",
       "      <td>9.468037</td>\n",
       "      <td>29</td>\n",
       "      <td>3.952759e+06</td>\n",
       "      <td>4.502459e+04</td>\n",
       "      <td>87.791110</td>\n",
       "      <td>8.269670</td>\n",
       "      <td>1.241568</td>\n",
       "      <td>0</td>\n",
       "      <td>1.198367</td>\n",
       "      <td>0.527258</td>\n",
       "      <td>0.671109</td>\n",
       "      <td>3.507707</td>\n",
       "      <td>5.169596</td>\n",
       "      <td>4</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>2.5</td>\n",
       "      <td>-0.50</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>77.216590</td>\n",
       "      <td>8.761647</td>\n",
       "      <td>315.672846</td>\n",
       "      <td>62.341418</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4897.0000</td>\n",
       "      <td>4879.0000</td>\n",
       "      <td>4923.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>50.222294</td>\n",
       "      <td>49.693214</td>\n",
       "      <td>50.593544</td>\n",
       "      <td>1306.797200</td>\n",
       "      <td>1177.01830</td>\n",
       "      <td>1436.576200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>193</td>\n",
       "      <td>V1154 Cyg</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.6925</td>\n",
       "      <td>7.457</td>\n",
       "      <td>7.094</td>\n",
       "      <td>6.964</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.51</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7746</td>\n",
       "      <td>437</td>\n",
       "      <td>c</td>\n",
       "      <td>LII</td>\n",
       "      <td>297.06444</td>\n",
       "      <td>43.12694</td>\n",
       "      <td>0.082271</td>\n",
       "      <td>V* V1154 Cyg</td>\n",
       "      <td>297.064443</td>\n",
       "      <td>43.126933</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>70</td>\n",
       "      <td>19 48 15.46632</td>\n",
       "      <td>+43 07 36.9593</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |*  |IR</td>\n",
       "      <td>-6.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4134</td>\n",
       "      <td>-1.61</td>\n",
       "      <td>-3.60</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.920</td>\n",
       "      <td>9.140</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.417</td>\n",
       "      <td>7.049</td>\n",
       "      <td>6.919</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.061129</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2078709577944648192</td>\n",
       "      <td>4.925493</td>\n",
       "      <td>0.000018</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1718.597111</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>1718.577998</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>1718.746827</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>8.902859</td>\n",
       "      <td>0.000179</td>\n",
       "      <td>9.417536</td>\n",
       "      <td>0.000864</td>\n",
       "      <td>8.255170</td>\n",
       "      <td>0.000270</td>\n",
       "      <td>0.327345</td>\n",
       "      <td>0.000703</td>\n",
       "      <td>0.425096</td>\n",
       "      <td>0.003225</td>\n",
       "      <td>0.270998</td>\n",
       "      <td>0.001411</td>\n",
       "      <td>0.496531</td>\n",
       "      <td>0.225040</td>\n",
       "      <td>0.255476</td>\n",
       "      <td>0.001397</td>\n",
       "      <td>0.055964</td>\n",
       "      <td>0.001146</td>\n",
       "      <td>4.315792</td>\n",
       "      <td>0.005239</td>\n",
       "      <td>2.445922</td>\n",
       "      <td>0.024920</td>\n",
       "      <td>30</td>\n",
       "      <td>26</td>\n",
       "      <td>29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2161786374436607616</td>\n",
       "      <td>2161786374436607616</td>\n",
       "      <td>637453187</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>315.026581</td>\n",
       "      <td>0.029151</td>\n",
       "      <td>42.597550</td>\n",
       "      <td>0.031458</td>\n",
       "      <td>0.780722</td>\n",
       "      <td>0.036675</td>\n",
       "      <td>21.287788</td>\n",
       "      <td>-0.966081</td>\n",
       "      <td>0.062765</td>\n",
       "      <td>-2.126744</td>\n",
       "      <td>0.060663</td>\n",
       "      <td>-0.009969</td>\n",
       "      <td>0.026982</td>\n",
       "      <td>-0.247191</td>\n",
       "      <td>-0.152858</td>\n",
       "      <td>0.231340</td>\n",
       "      <td>-0.200793</td>\n",
       "      <td>-0.262542</td>\n",
       "      <td>-0.190976</td>\n",
       "      <td>-0.008608</td>\n",
       "      <td>-0.096214</td>\n",
       "      <td>239</td>\n",
       "      <td>239</td>\n",
       "      <td>236</td>\n",
       "      <td>3</td>\n",
       "      <td>13.046758</td>\n",
       "      <td>638.90027</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>119.433730</td>\n",
       "      <td>1.371652</td>\n",
       "      <td>0.008064</td>\n",
       "      <td>-0.021581</td>\n",
       "      <td>27</td>\n",
       "      <td>15</td>\n",
       "      <td>0.042855</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>False</td>\n",
       "      <td>254</td>\n",
       "      <td>7.330416e+06</td>\n",
       "      <td>1.036420e+05</td>\n",
       "      <td>70.728210</td>\n",
       "      <td>8.525544</td>\n",
       "      <td>29</td>\n",
       "      <td>1.506648e+06</td>\n",
       "      <td>8.214547e+04</td>\n",
       "      <td>18.341215</td>\n",
       "      <td>9.906359</td>\n",
       "      <td>29</td>\n",
       "      <td>9.778543e+06</td>\n",
       "      <td>4.283269e+05</td>\n",
       "      <td>22.829626</td>\n",
       "      <td>7.286234</td>\n",
       "      <td>1.539502</td>\n",
       "      <td>0</td>\n",
       "      <td>2.620124</td>\n",
       "      <td>1.380815</td>\n",
       "      <td>1.239310</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>84.349989</td>\n",
       "      <td>-2.301725</td>\n",
       "      <td>338.216793</td>\n",
       "      <td>55.888456</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4169.7100</td>\n",
       "      <td>3560.0000</td>\n",
       "      <td>4776.1100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>51.231873</td>\n",
       "      <td>39.048405</td>\n",
       "      <td>70.283264</td>\n",
       "      <td>714.823060</td>\n",
       "      <td>663.41710</td>\n",
       "      <td>766.229000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>188</td>\n",
       "      <td>TX Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1676</td>\n",
       "      <td>5.326</td>\n",
       "      <td>4.630</td>\n",
       "      <td>4.307</td>\n",
       "      <td>0.20</td>\n",
       "      <td>0.26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.08</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7905</td>\n",
       "      <td>448</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>315.02659</td>\n",
       "      <td>42.59756</td>\n",
       "      <td>0.041613</td>\n",
       "      <td>V* TX Cyg</td>\n",
       "      <td>315.026587</td>\n",
       "      <td>42.597560</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>130</td>\n",
       "      <td>21 00 06.38082</td>\n",
       "      <td>+42 35 51.2146</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-19.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5.5Ib-G5Ib:</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.7807</td>\n",
       "      <td>-0.97</td>\n",
       "      <td>-2.13</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.300</td>\n",
       "      <td>9.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.558</td>\n",
       "      <td>4.844</td>\n",
       "      <td>4.491</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.036206</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2161786374436607616</td>\n",
       "      <td>14.717966</td>\n",
       "      <td>0.001270</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1734.443893</td>\n",
       "      <td>0.001796</td>\n",
       "      <td>1735.746248</td>\n",
       "      <td>0.001796</td>\n",
       "      <td>1734.332751</td>\n",
       "      <td>0.001796</td>\n",
       "      <td>8.389075</td>\n",
       "      <td>0.000887</td>\n",
       "      <td>9.713970</td>\n",
       "      <td>0.001192</td>\n",
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       "      <td>0.001485</td>\n",
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       "      <td>0.007399</td>\n",
       "      <td>1.010285</td>\n",
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       "      <td>0.738559</td>\n",
       "      <td>0.011314</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.269704</td>\n",
       "      <td>0.003734</td>\n",
       "      <td>0.153488</td>\n",
       "      <td>0.002675</td>\n",
       "      <td>4.994388</td>\n",
       "      <td>0.014115</td>\n",
       "      <td>2.189960</td>\n",
       "      <td>0.034542</td>\n",
       "      <td>29</td>\n",
       "      <td>25</td>\n",
       "      <td>26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2164359918864249728</td>\n",
       "      <td>2164359918864249728</td>\n",
       "      <td>1379313742</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>316.944149</td>\n",
       "      <td>0.023355</td>\n",
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       "      <td>0.024635</td>\n",
       "      <td>0.141011</td>\n",
       "      <td>0.030759</td>\n",
       "      <td>4.584346</td>\n",
       "      <td>-2.880405</td>\n",
       "      <td>0.048963</td>\n",
       "      <td>-3.537782</td>\n",
       "      <td>0.044637</td>\n",
       "      <td>-0.113057</td>\n",
       "      <td>0.105484</td>\n",
       "      <td>-0.310012</td>\n",
       "      <td>0.039041</td>\n",
       "      <td>0.447328</td>\n",
       "      <td>-0.040637</td>\n",
       "      <td>-0.197467</td>\n",
       "      <td>-0.161534</td>\n",
       "      <td>0.038071</td>\n",
       "      <td>-0.152267</td>\n",
       "      <td>252</td>\n",
       "      <td>252</td>\n",
       "      <td>249</td>\n",
       "      <td>3</td>\n",
       "      <td>6.298744</td>\n",
       "      <td>410.32565</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>390.505580</td>\n",
       "      <td>1.425529</td>\n",
       "      <td>0.005970</td>\n",
       "      <td>0.050472</td>\n",
       "      <td>29</td>\n",
       "      <td>15</td>\n",
       "      <td>0.036017</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>False</td>\n",
       "      <td>281</td>\n",
       "      <td>3.067781e+05</td>\n",
       "      <td>3.394862e+03</td>\n",
       "      <td>90.365425</td>\n",
       "      <td>11.971305</td>\n",
       "      <td>31</td>\n",
       "      <td>1.030101e+05</td>\n",
       "      <td>4.721410e+03</td>\n",
       "      <td>21.817665</td>\n",
       "      <td>12.819188</td>\n",
       "      <td>31</td>\n",
       "      <td>3.088466e+05</td>\n",
       "      <td>8.741766e+03</td>\n",
       "      <td>35.330000</td>\n",
       "      <td>11.037563</td>\n",
       "      <td>1.342523</td>\n",
       "      <td>0</td>\n",
       "      <td>1.781625</td>\n",
       "      <td>0.847883</td>\n",
       "      <td>0.933742</td>\n",
       "      <td>-68.836522</td>\n",
       "      <td>5.108382</td>\n",
       "      <td>5</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>88.346113</td>\n",
       "      <td>-0.559983</td>\n",
       "      <td>344.421383</td>\n",
       "      <td>58.676122</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3952.0000</td>\n",
       "      <td>3785.2500</td>\n",
       "      <td>4689.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>199</td>\n",
       "      <td>V356 Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7039</td>\n",
       "      <td>9.802</td>\n",
       "      <td>9.271</td>\n",
       "      <td>9.046</td>\n",
       "      <td>0.17</td>\n",
       "      <td>0.14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.45</td>\n",
       "      <td>0.07</td>\n",
       "      <td>9203</td>\n",
       "      <td>390</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>316.94417</td>\n",
       "      <td>46.73697</td>\n",
       "      <td>0.059459</td>\n",
       "      <td>V* V356 Cyg</td>\n",
       "      <td>316.944167</td>\n",
       "      <td>46.736993</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>20</td>\n",
       "      <td>21 07 46.60012</td>\n",
       "      <td>+46 44 13.1763</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |IR</td>\n",
       "      <td>-68.840</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1410</td>\n",
       "      <td>-2.88</td>\n",
       "      <td>-3.54</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.740</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>9.669</td>\n",
       "      <td>9.158</td>\n",
       "      <td>8.935</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.070712</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2164359918864249728</td>\n",
       "      <td>5.057583</td>\n",
       "      <td>0.000024</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1714.401238</td>\n",
       "      <td>0.000034</td>\n",
       "      <td>1714.371319</td>\n",
       "      <td>0.000034</td>\n",
       "      <td>1714.402152</td>\n",
       "      <td>0.000034</td>\n",
       "      <td>11.902513</td>\n",
       "      <td>0.000194</td>\n",
       "      <td>12.740493</td>\n",
       "      <td>0.000394</td>\n",
       "      <td>11.006825</td>\n",
       "      <td>0.000232</td>\n",
       "      <td>0.636370</td>\n",
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       "      <td>0.822630</td>\n",
       "      <td>0.001859</td>\n",
       "      <td>0.524478</td>\n",
       "      <td>0.001075</td>\n",
       "      <td>0.162765</td>\n",
       "      <td>0.233778</td>\n",
       "      <td>0.359222</td>\n",
       "      <td>0.001087</td>\n",
       "      <td>0.147487</td>\n",
       "      <td>0.000884</td>\n",
       "      <td>4.405910</td>\n",
       "      <td>0.002415</td>\n",
       "      <td>2.431686</td>\n",
       "      <td>0.008260</td>\n",
       "      <td>30</td>\n",
       "      <td>31</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2165771172070496512</td>\n",
       "      <td>2165771172070496512</td>\n",
       "      <td>1550360195</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>317.726536</td>\n",
       "      <td>0.023424</td>\n",
       "      <td>49.142042</td>\n",
       "      <td>0.022902</td>\n",
       "      <td>0.386795</td>\n",
       "      <td>0.027892</td>\n",
       "      <td>13.867589</td>\n",
       "      <td>-2.708360</td>\n",
       "      <td>0.045707</td>\n",
       "      <td>-3.143271</td>\n",
       "      <td>0.044010</td>\n",
       "      <td>0.080483</td>\n",
       "      <td>0.341788</td>\n",
       "      <td>-0.200528</td>\n",
       "      <td>-0.037963</td>\n",
       "      <td>0.299870</td>\n",
       "      <td>-0.091422</td>\n",
       "      <td>-0.175151</td>\n",
       "      <td>-0.186120</td>\n",
       "      <td>-0.007158</td>\n",
       "      <td>-0.035579</td>\n",
       "      <td>246</td>\n",
       "      <td>246</td>\n",
       "      <td>241</td>\n",
       "      <td>5</td>\n",
       "      <td>6.502285</td>\n",
       "      <td>406.36844</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>245.182040</td>\n",
       "      <td>1.418525</td>\n",
       "      <td>0.006198</td>\n",
       "      <td>0.031109</td>\n",
       "      <td>28</td>\n",
       "      <td>16</td>\n",
       "      <td>0.033629</td>\n",
       "      <td>0</td>\n",
       "      <td>44</td>\n",
       "      <td>True</td>\n",
       "      <td>352</td>\n",
       "      <td>1.856982e+06</td>\n",
       "      <td>1.548382e+04</td>\n",
       "      <td>119.930504</td>\n",
       "      <td>10.016347</td>\n",
       "      <td>36</td>\n",
       "      <td>5.605660e+05</td>\n",
       "      <td>1.946456e+04</td>\n",
       "      <td>28.799316</td>\n",
       "      <td>10.979821</td>\n",
       "      <td>38</td>\n",
       "      <td>1.930863e+06</td>\n",
       "      <td>3.997027e+04</td>\n",
       "      <td>48.307487</td>\n",
       "      <td>9.047541</td>\n",
       "      <td>1.341655</td>\n",
       "      <td>0</td>\n",
       "      <td>1.932281</td>\n",
       "      <td>0.963474</td>\n",
       "      <td>0.968806</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>90.466812</td>\n",
       "      <td>0.689687</td>\n",
       "      <td>348.000375</td>\n",
       "      <td>60.338571</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3908.6400</td>\n",
       "      <td>3804.0000</td>\n",
       "      <td>4279.5200</td>\n",
       "      <td>0.9495</td>\n",
       "      <td>0.6320</td>\n",
       "      <td>1.7171</td>\n",
       "      <td>0.4440</td>\n",
       "      <td>0.3190</td>\n",
       "      <td>0.7535</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>64.273780</td>\n",
       "      <td>53.616077</td>\n",
       "      <td>67.858480</td>\n",
       "      <td>868.690500</td>\n",
       "      <td>765.45654</td>\n",
       "      <td>971.924440</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>204</td>\n",
       "      <td>V459 Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8604</td>\n",
       "      <td>7.600</td>\n",
       "      <td>7.071</td>\n",
       "      <td>6.847</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.06</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.77</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8273</td>\n",
       "      <td>435</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>317.72657</td>\n",
       "      <td>49.14206</td>\n",
       "      <td>0.102365</td>\n",
       "      <td>V* V459 Cyg</td>\n",
       "      <td>317.726554</td>\n",
       "      <td>49.142055</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>62</td>\n",
       "      <td>21 10 54.37303</td>\n",
       "      <td>+49 08 31.3996</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>-22.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3868</td>\n",
       "      <td>-2.71</td>\n",
       "      <td>-3.14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.760</td>\n",
       "      <td>10.540</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.775</td>\n",
       "      <td>7.170</td>\n",
       "      <td>6.950</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.064312</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2165771172070496512</td>\n",
       "      <td>7.251400</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1646.813339</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>1646.761885</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>1646.915696</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>9.944698</td>\n",
       "      <td>0.000119</td>\n",
       "      <td>10.879534</td>\n",
       "      <td>0.000244</td>\n",
       "      <td>9.001082</td>\n",
       "      <td>0.000224</td>\n",
       "      <td>0.537753</td>\n",
       "      <td>0.000387</td>\n",
       "      <td>0.696977</td>\n",
       "      <td>0.001695</td>\n",
       "      <td>0.445162</td>\n",
       "      <td>0.001248</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.319904</td>\n",
       "      <td>0.001385</td>\n",
       "      <td>0.151052</td>\n",
       "      <td>0.001312</td>\n",
       "      <td>5.006802</td>\n",
       "      <td>0.005081</td>\n",
       "      <td>2.780821</td>\n",
       "      <td>0.010763</td>\n",
       "      <td>40</td>\n",
       "      <td>31</td>\n",
       "      <td>32</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2166303099490547072</td>\n",
       "      <td>2166303099490547072</td>\n",
       "      <td>591354000</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>311.552296</td>\n",
       "      <td>0.020153</td>\n",
       "      <td>45.478606</td>\n",
       "      <td>0.027513</td>\n",
       "      <td>0.528177</td>\n",
       "      <td>0.027448</td>\n",
       "      <td>19.242771</td>\n",
       "      <td>0.531202</td>\n",
       "      <td>0.042939</td>\n",
       "      <td>-2.150689</td>\n",
       "      <td>0.050278</td>\n",
       "      <td>0.127314</td>\n",
       "      <td>0.269947</td>\n",
       "      <td>-0.268610</td>\n",
       "      <td>-0.075887</td>\n",
       "      <td>0.282441</td>\n",
       "      <td>-0.129770</td>\n",
       "      <td>-0.186437</td>\n",
       "      <td>-0.169921</td>\n",
       "      <td>-0.018843</td>\n",
       "      <td>-0.000747</td>\n",
       "      <td>241</td>\n",
       "      <td>241</td>\n",
       "      <td>236</td>\n",
       "      <td>5</td>\n",
       "      <td>11.060230</td>\n",
       "      <td>558.40686</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.700191e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>294.260830</td>\n",
       "      <td>1.358725</td>\n",
       "      <td>0.006781</td>\n",
       "      <td>0.030055</td>\n",
       "      <td>29</td>\n",
       "      <td>14</td>\n",
       "      <td>0.036857</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>False</td>\n",
       "      <td>264</td>\n",
       "      <td>1.137178e+06</td>\n",
       "      <td>9.121222e+03</td>\n",
       "      <td>124.673910</td>\n",
       "      <td>10.548794</td>\n",
       "      <td>29</td>\n",
       "      <td>2.658773e+05</td>\n",
       "      <td>8.103080e+03</td>\n",
       "      <td>32.811886</td>\n",
       "      <td>11.789685</td>\n",
       "      <td>31</td>\n",
       "      <td>1.262261e+06</td>\n",
       "      <td>2.523841e+04</td>\n",
       "      <td>50.013470</td>\n",
       "      <td>9.509048</td>\n",
       "      <td>1.343798</td>\n",
       "      <td>0</td>\n",
       "      <td>2.280638</td>\n",
       "      <td>1.240892</td>\n",
       "      <td>1.039746</td>\n",
       "      <td>-16.874064</td>\n",
       "      <td>4.209653</td>\n",
       "      <td>10</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>84.959960</td>\n",
       "      <td>1.461330</td>\n",
       "      <td>336.958740</td>\n",
       "      <td>59.641268</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3859.8875</td>\n",
       "      <td>3658.0000</td>\n",
       "      <td>4017.0000</td>\n",
       "      <td>0.9792</td>\n",
       "      <td>0.6399</td>\n",
       "      <td>1.9931</td>\n",
       "      <td>0.4780</td>\n",
       "      <td>0.3120</td>\n",
       "      <td>0.8651</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>38.396915</td>\n",
       "      <td>35.452100</td>\n",
       "      <td>42.752180</td>\n",
       "      <td>294.839720</td>\n",
       "      <td>269.39780</td>\n",
       "      <td>320.281650</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>207</td>\n",
       "      <td>V514 Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7075</td>\n",
       "      <td>7.647</td>\n",
       "      <td>7.011</td>\n",
       "      <td>6.702</td>\n",
       "      <td>0.18</td>\n",
       "      <td>0.15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.99</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7957</td>\n",
       "      <td>443</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>311.55243</td>\n",
       "      <td>45.47857</td>\n",
       "      <td>0.362877</td>\n",
       "      <td>V* V514 Cyg</td>\n",
       "      <td>311.552293</td>\n",
       "      <td>45.478616</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>26</td>\n",
       "      <td>20 46 12.55022</td>\n",
       "      <td>+45 28 43.0158</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-16.870</td>\n",
       "      <td>NaN</td>\n",
       "      <td>K3</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.5282</td>\n",
       "      <td>0.53</td>\n",
       "      <td>-2.15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.570</td>\n",
       "      <td>11.840</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.702</td>\n",
       "      <td>7.019</td>\n",
       "      <td>6.721</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.034337</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>2166303099490547072</td>\n",
       "      <td>5.099551</td>\n",
       "      <td>0.000103</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1715.343704</td>\n",
       "      <td>0.000146</td>\n",
       "      <td>1715.284797</td>\n",
       "      <td>0.000146</td>\n",
       "      <td>1715.296757</td>\n",
       "      <td>0.000146</td>\n",
       "      <td>10.527092</td>\n",
       "      <td>0.002755</td>\n",
       "      <td>11.693636</td>\n",
       "      <td>0.001247</td>\n",
       "      <td>9.457645</td>\n",
       "      <td>0.000469</td>\n",
       "      <td>0.615354</td>\n",
       "      <td>0.006077</td>\n",
       "      <td>0.755855</td>\n",
       "      <td>0.004677</td>\n",
       "      <td>0.472744</td>\n",
       "      <td>0.002432</td>\n",
       "      <td>0.103283</td>\n",
       "      <td>0.233885</td>\n",
       "      <td>0.376849</td>\n",
       "      <td>0.002252</td>\n",
       "      <td>0.103166</td>\n",
       "      <td>0.013049</td>\n",
       "      <td>4.784790</td>\n",
       "      <td>0.049452</td>\n",
       "      <td>3.349799</td>\n",
       "      <td>0.110254</td>\n",
       "      <td>26</td>\n",
       "      <td>25</td>\n",
       "      <td>25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>149</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2166861170366710272</td>\n",
       "      <td>2166861170366710272</td>\n",
       "      <td>1596420524</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>313.739699</td>\n",
       "      <td>0.023199</td>\n",
       "      <td>47.533790</td>\n",
       "      <td>0.023745</td>\n",
       "      <td>0.527686</td>\n",
       "      <td>0.028010</td>\n",
       "      <td>18.839010</td>\n",
       "      <td>-2.078044</td>\n",
       "      <td>0.050558</td>\n",
       "      <td>-3.011732</td>\n",
       "      <td>0.048090</td>\n",
       "      <td>-0.091278</td>\n",
       "      <td>-0.009957</td>\n",
       "      <td>-0.160702</td>\n",
       "      <td>-0.036026</td>\n",
       "      <td>0.274451</td>\n",
       "      <td>-0.054295</td>\n",
       "      <td>-0.205349</td>\n",
       "      <td>-0.057666</td>\n",
       "      <td>-0.046942</td>\n",
       "      <td>-0.060194</td>\n",
       "      <td>233</td>\n",
       "      <td>233</td>\n",
       "      <td>229</td>\n",
       "      <td>4</td>\n",
       "      <td>10.092026</td>\n",
       "      <td>511.54462</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>275.987980</td>\n",
       "      <td>1.441063</td>\n",
       "      <td>0.005677</td>\n",
       "      <td>-0.037478</td>\n",
       "      <td>26</td>\n",
       "      <td>16</td>\n",
       "      <td>0.036943</td>\n",
       "      <td>0</td>\n",
       "      <td>30</td>\n",
       "      <td>False</td>\n",
       "      <td>259</td>\n",
       "      <td>1.332400e+06</td>\n",
       "      <td>1.062227e+04</td>\n",
       "      <td>125.434580</td>\n",
       "      <td>10.376780</td>\n",
       "      <td>29</td>\n",
       "      <td>4.297129e+05</td>\n",
       "      <td>1.280023e+04</td>\n",
       "      <td>33.570730</td>\n",
       "      <td>11.268442</td>\n",
       "      <td>28</td>\n",
       "      <td>1.316725e+06</td>\n",
       "      <td>2.886838e+04</td>\n",
       "      <td>45.611332</td>\n",
       "      <td>9.463182</td>\n",
       "      <td>1.310746</td>\n",
       "      <td>0</td>\n",
       "      <td>1.805260</td>\n",
       "      <td>0.891663</td>\n",
       "      <td>0.913597</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>87.504338</td>\n",
       "      <td>1.602737</td>\n",
       "      <td>341.729511</td>\n",
       "      <td>60.555993</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4229.6900</td>\n",
       "      <td>4031.1900</td>\n",
       "      <td>4462.4946</td>\n",
       "      <td>0.4753</td>\n",
       "      <td>0.1244</td>\n",
       "      <td>0.8290</td>\n",
       "      <td>0.2390</td>\n",
       "      <td>0.0456</td>\n",
       "      <td>0.3888</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>30.889269</td>\n",
       "      <td>27.750402</td>\n",
       "      <td>34.006207</td>\n",
       "      <td>275.133880</td>\n",
       "      <td>251.06050</td>\n",
       "      <td>299.207280</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>208</td>\n",
       "      <td>V520 Cyg</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6074</td>\n",
       "      <td>8.229</td>\n",
       "      <td>7.755</td>\n",
       "      <td>7.590</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.74</td>\n",
       "      <td>0.07</td>\n",
       "      <td>8153</td>\n",
       "      <td>435</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>313.73972</td>\n",
       "      <td>47.53380</td>\n",
       "      <td>0.062330</td>\n",
       "      <td>V* V520 Cyg</td>\n",
       "      <td>313.739712</td>\n",
       "      <td>47.533803</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>39</td>\n",
       "      <td>20 54 57.53096</td>\n",
       "      <td>+47 32 01.6907</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-22.100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.5277</td>\n",
       "      <td>-2.08</td>\n",
       "      <td>-3.01</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.100</td>\n",
       "      <td>10.890</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.225</td>\n",
       "      <td>7.726</td>\n",
       "      <td>7.558</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.056716</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2166861170366710272</td>\n",
       "      <td>4.049213</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1717.935543</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>1718.040868</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>1718.045138</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>10.292237</td>\n",
       "      <td>0.000376</td>\n",
       "      <td>11.105963</td>\n",
       "      <td>0.001222</td>\n",
       "      <td>9.407578</td>\n",
       "      <td>0.000216</td>\n",
       "      <td>0.488879</td>\n",
       "      <td>0.001266</td>\n",
       "      <td>0.724844</td>\n",
       "      <td>0.005529</td>\n",
       "      <td>0.419755</td>\n",
       "      <td>0.001183</td>\n",
       "      <td>0.150387</td>\n",
       "      <td>0.225052</td>\n",
       "      <td>0.356487</td>\n",
       "      <td>0.001813</td>\n",
       "      <td>0.135094</td>\n",
       "      <td>0.002107</td>\n",
       "      <td>4.386753</td>\n",
       "      <td>0.008911</td>\n",
       "      <td>2.476153</td>\n",
       "      <td>0.016453</td>\n",
       "      <td>25</td>\n",
       "      <td>21</td>\n",
       "      <td>23</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>150</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2198162651491732608</td>\n",
       "      <td>2198162651491732608</td>\n",
       "      <td>149906116</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>329.469517</td>\n",
       "      <td>0.027138</td>\n",
       "      <td>56.163886</td>\n",
       "      <td>0.027658</td>\n",
       "      <td>0.287722</td>\n",
       "      <td>0.031663</td>\n",
       "      <td>9.087132</td>\n",
       "      <td>-3.933457</td>\n",
       "      <td>0.049745</td>\n",
       "      <td>-3.151260</td>\n",
       "      <td>0.051442</td>\n",
       "      <td>0.145726</td>\n",
       "      <td>0.426857</td>\n",
       "      <td>-0.395677</td>\n",
       "      <td>-0.098648</td>\n",
       "      <td>0.122447</td>\n",
       "      <td>-0.198437</td>\n",
       "      <td>-0.336345</td>\n",
       "      <td>-0.278555</td>\n",
       "      <td>0.123697</td>\n",
       "      <td>-0.016924</td>\n",
       "      <td>219</td>\n",
       "      <td>219</td>\n",
       "      <td>216</td>\n",
       "      <td>3</td>\n",
       "      <td>5.367282</td>\n",
       "      <td>340.66003</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>234.448990</td>\n",
       "      <td>1.392788</td>\n",
       "      <td>0.007554</td>\n",
       "      <td>0.128555</td>\n",
       "      <td>25</td>\n",
       "      <td>15</td>\n",
       "      <td>0.037232</td>\n",
       "      <td>0</td>\n",
       "      <td>41</td>\n",
       "      <td>True</td>\n",
       "      <td>336</td>\n",
       "      <td>2.198950e+06</td>\n",
       "      <td>2.099806e+04</td>\n",
       "      <td>104.721560</td>\n",
       "      <td>9.832828</td>\n",
       "      <td>38</td>\n",
       "      <td>6.087897e+05</td>\n",
       "      <td>2.214692e+04</td>\n",
       "      <td>27.488684</td>\n",
       "      <td>10.890220</td>\n",
       "      <td>36</td>\n",
       "      <td>2.248458e+06</td>\n",
       "      <td>5.220642e+04</td>\n",
       "      <td>43.068604</td>\n",
       "      <td>8.882208</td>\n",
       "      <td>1.299369</td>\n",
       "      <td>0</td>\n",
       "      <td>2.008012</td>\n",
       "      <td>1.057392</td>\n",
       "      <td>0.950620</td>\n",
       "      <td>-30.022753</td>\n",
       "      <td>10.957778</td>\n",
       "      <td>5</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>100.438389</td>\n",
       "      <td>1.067634</td>\n",
       "      <td>8.407201</td>\n",
       "      <td>60.998574</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3895.4775</td>\n",
       "      <td>3754.5850</td>\n",
       "      <td>4052.7026</td>\n",
       "      <td>0.8920</td>\n",
       "      <td>0.4390</td>\n",
       "      <td>1.7505</td>\n",
       "      <td>0.4090</td>\n",
       "      <td>0.2083</td>\n",
       "      <td>0.8012</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>95.083320</td>\n",
       "      <td>87.848890</td>\n",
       "      <td>102.353310</td>\n",
       "      <td>1875.626000</td>\n",
       "      <td>1550.26260</td>\n",
       "      <td>2200.989300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>151</td>\n",
       "      <td>CP Cep</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.2519</td>\n",
       "      <td>7.335</td>\n",
       "      <td>6.724</td>\n",
       "      <td>6.476</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>0.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.64</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9175</td>\n",
       "      <td>423</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>329.46956</td>\n",
       "      <td>56.16391</td>\n",
       "      <td>0.122388</td>\n",
       "      <td>V* CP Cep</td>\n",
       "      <td>329.469547</td>\n",
       "      <td>56.163900</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>85</td>\n",
       "      <td>21 57 52.69128</td>\n",
       "      <td>+56 09 50.0388</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-40.700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2877</td>\n",
       "      <td>-3.93</td>\n",
       "      <td>-3.15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.290</td>\n",
       "      <td>10.580</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.406</td>\n",
       "      <td>6.748</td>\n",
       "      <td>6.451</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.078121</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2198162651491732608</td>\n",
       "      <td>17.871976</td>\n",
       "      <td>0.000199</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1647.997402</td>\n",
       "      <td>0.000281</td>\n",
       "      <td>1647.841136</td>\n",
       "      <td>0.000281</td>\n",
       "      <td>1648.219703</td>\n",
       "      <td>0.000281</td>\n",
       "      <td>9.827932</td>\n",
       "      <td>0.000130</td>\n",
       "      <td>10.845625</td>\n",
       "      <td>0.000250</td>\n",
       "      <td>8.864936</td>\n",
       "      <td>0.000302</td>\n",
       "      <td>0.569809</td>\n",
       "      <td>0.000729</td>\n",
       "      <td>0.756278</td>\n",
       "      <td>0.001401</td>\n",
       "      <td>0.454907</td>\n",
       "      <td>0.001426</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.183185</td>\n",
       "      <td>0.001418</td>\n",
       "      <td>0.075359</td>\n",
       "      <td>0.000806</td>\n",
       "      <td>4.757614</td>\n",
       "      <td>0.004863</td>\n",
       "      <td>1.746420</td>\n",
       "      <td>0.014042</td>\n",
       "      <td>38</td>\n",
       "      <td>36</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>151</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2200018111723748224</td>\n",
       "      <td>2200018111723748224</td>\n",
       "      <td>1226073375</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>335.910919</td>\n",
       "      <td>0.026144</td>\n",
       "      <td>57.680783</td>\n",
       "      <td>0.023981</td>\n",
       "      <td>0.224349</td>\n",
       "      <td>0.029276</td>\n",
       "      <td>7.663171</td>\n",
       "      <td>-2.815477</td>\n",
       "      <td>0.048969</td>\n",
       "      <td>-1.470550</td>\n",
       "      <td>0.044547</td>\n",
       "      <td>0.038053</td>\n",
       "      <td>0.330172</td>\n",
       "      <td>-0.403013</td>\n",
       "      <td>-0.096938</td>\n",
       "      <td>0.240564</td>\n",
       "      <td>-0.159215</td>\n",
       "      <td>-0.165639</td>\n",
       "      <td>-0.211623</td>\n",
       "      <td>0.002000</td>\n",
       "      <td>-0.086713</td>\n",
       "      <td>241</td>\n",
       "      <td>241</td>\n",
       "      <td>237</td>\n",
       "      <td>4</td>\n",
       "      <td>8.933767</td>\n",
       "      <td>481.46580</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>409.657230</td>\n",
       "      <td>1.426066</td>\n",
       "      <td>0.007121</td>\n",
       "      <td>-0.108229</td>\n",
       "      <td>27</td>\n",
       "      <td>17</td>\n",
       "      <td>0.036719</td>\n",
       "      <td>0</td>\n",
       "      <td>30</td>\n",
       "      <td>False</td>\n",
       "      <td>268</td>\n",
       "      <td>4.368446e+05</td>\n",
       "      <td>4.028211e+03</td>\n",
       "      <td>108.446320</td>\n",
       "      <td>11.587548</td>\n",
       "      <td>27</td>\n",
       "      <td>1.497104e+05</td>\n",
       "      <td>5.840546e+03</td>\n",
       "      <td>25.632950</td>\n",
       "      <td>12.413259</td>\n",
       "      <td>27</td>\n",
       "      <td>4.466239e+05</td>\n",
       "      <td>1.001385e+04</td>\n",
       "      <td>44.600600</td>\n",
       "      <td>10.637065</td>\n",
       "      <td>1.365095</td>\n",
       "      <td>0</td>\n",
       "      <td>1.776194</td>\n",
       "      <td>0.825710</td>\n",
       "      <td>0.950483</td>\n",
       "      <td>-69.116170</td>\n",
       "      <td>5.476627</td>\n",
       "      <td>6</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>104.185969</td>\n",
       "      <td>0.291101</td>\n",
       "      <td>15.564378</td>\n",
       "      <td>59.558740</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4158.4550</td>\n",
       "      <td>3915.3333</td>\n",
       "      <td>4642.4650</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>43.899540</td>\n",
       "      <td>35.223034</td>\n",
       "      <td>49.520670</td>\n",
       "      <td>519.209600</td>\n",
       "      <td>409.58682</td>\n",
       "      <td>628.832400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>156</td>\n",
       "      <td>MU Cep</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.5761</td>\n",
       "      <td>9.370</td>\n",
       "      <td>8.783</td>\n",
       "      <td>8.632</td>\n",
       "      <td>0.18</td>\n",
       "      <td>0.15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.60</td>\n",
       "      <td>0.07</td>\n",
       "      <td>9321</td>\n",
       "      <td>428</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>335.91087</td>\n",
       "      <td>57.68078</td>\n",
       "      <td>0.094772</td>\n",
       "      <td>V* MU Cep</td>\n",
       "      <td>335.910942</td>\n",
       "      <td>57.680789</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>23</td>\n",
       "      <td>22 23 38.62598</td>\n",
       "      <td>+57 40 50.8418</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>*  |V* |Ce*|IR</td>\n",
       "      <td>-69.120</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2243</td>\n",
       "      <td>-2.82</td>\n",
       "      <td>-1.47</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.295</td>\n",
       "      <td>8.654</td>\n",
       "      <td>8.502</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.049234</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2200018111723748224</td>\n",
       "      <td>3.767495</td>\n",
       "      <td>0.000016</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1686.242237</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>1686.216372</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>1686.230879</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>11.664927</td>\n",
       "      <td>0.000556</td>\n",
       "      <td>12.550198</td>\n",
       "      <td>0.032278</td>\n",
       "      <td>10.752652</td>\n",
       "      <td>0.003749</td>\n",
       "      <td>0.764530</td>\n",
       "      <td>0.003604</td>\n",
       "      <td>1.058758</td>\n",
       "      <td>0.113587</td>\n",
       "      <td>0.699398</td>\n",
       "      <td>0.020363</td>\n",
       "      <td>-0.172072</td>\n",
       "      <td>0.219801</td>\n",
       "      <td>0.445367</td>\n",
       "      <td>0.001791</td>\n",
       "      <td>0.139512</td>\n",
       "      <td>0.001003</td>\n",
       "      <td>4.947885</td>\n",
       "      <td>0.006799</td>\n",
       "      <td>3.960100</td>\n",
       "      <td>0.017157</td>\n",
       "      <td>30</td>\n",
       "      <td>25</td>\n",
       "      <td>25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>152</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2203988169026743936</td>\n",
       "      <td>2203988169026743936</td>\n",
       "      <td>441544231</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>329.466308</td>\n",
       "      <td>0.030183</td>\n",
       "      <td>61.018848</td>\n",
       "      <td>0.030340</td>\n",
       "      <td>1.132780</td>\n",
       "      <td>0.033274</td>\n",
       "      <td>34.043587</td>\n",
       "      <td>-5.395975</td>\n",
       "      <td>0.057506</td>\n",
       "      <td>-3.325596</td>\n",
       "      <td>0.056520</td>\n",
       "      <td>0.189128</td>\n",
       "      <td>0.453958</td>\n",
       "      <td>-0.464881</td>\n",
       "      <td>-0.098924</td>\n",
       "      <td>0.262782</td>\n",
       "      <td>-0.214691</td>\n",
       "      <td>-0.329212</td>\n",
       "      <td>-0.343087</td>\n",
       "      <td>0.033794</td>\n",
       "      <td>-0.064750</td>\n",
       "      <td>223</td>\n",
       "      <td>223</td>\n",
       "      <td>223</td>\n",
       "      <td>0</td>\n",
       "      <td>0.532152</td>\n",
       "      <td>228.61269</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>98.903625</td>\n",
       "      <td>1.556746</td>\n",
       "      <td>0.008150</td>\n",
       "      <td>0.030403</td>\n",
       "      <td>25</td>\n",
       "      <td>17</td>\n",
       "      <td>0.042271</td>\n",
       "      <td>0</td>\n",
       "      <td>29</td>\n",
       "      <td>False</td>\n",
       "      <td>248</td>\n",
       "      <td>1.967062e+07</td>\n",
       "      <td>1.134470e+05</td>\n",
       "      <td>173.390460</td>\n",
       "      <td>7.453821</td>\n",
       "      <td>27</td>\n",
       "      <td>8.949292e+06</td>\n",
       "      <td>1.973030e+05</td>\n",
       "      <td>45.358105</td>\n",
       "      <td>7.971917</td>\n",
       "      <td>27</td>\n",
       "      <td>1.523705e+07</td>\n",
       "      <td>1.952410e+05</td>\n",
       "      <td>78.042260</td>\n",
       "      <td>6.804667</td>\n",
       "      <td>1.229567</td>\n",
       "      <td>0</td>\n",
       "      <td>1.167249</td>\n",
       "      <td>0.518096</td>\n",
       "      <td>0.649153</td>\n",
       "      <td>-7.064127</td>\n",
       "      <td>3.875693</td>\n",
       "      <td>7</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>103.414622</td>\n",
       "      <td>4.906917</td>\n",
       "      <td>16.310606</td>\n",
       "      <td>64.225256</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4952.3100</td>\n",
       "      <td>4876.0000</td>\n",
       "      <td>5006.1300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>35.309402</td>\n",
       "      <td>34.554276</td>\n",
       "      <td>36.423244</td>\n",
       "      <td>675.626600</td>\n",
       "      <td>644.65230</td>\n",
       "      <td>706.600900</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>154</td>\n",
       "      <td>IR Cep</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.3251</td>\n",
       "      <td>5.907</td>\n",
       "      <td>5.593</td>\n",
       "      <td>5.454</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.58</td>\n",
       "      <td>0.09</td>\n",
       "      <td>8169</td>\n",
       "      <td>450</td>\n",
       "      <td>c</td>\n",
       "      <td>LII</td>\n",
       "      <td>329.46636</td>\n",
       "      <td>61.01886</td>\n",
       "      <td>0.099855</td>\n",
       "      <td>V* IR Cep</td>\n",
       "      <td>329.466356</td>\n",
       "      <td>61.018862</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>77</td>\n",
       "      <td>21 57 51.92554</td>\n",
       "      <td>+61 01 07.9040</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |** |IR</td>\n",
       "      <td>-5.300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.1328</td>\n",
       "      <td>-4.87</td>\n",
       "      <td>-3.49</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.680</td>\n",
       "      <td>7.860</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.952</td>\n",
       "      <td>5.656</td>\n",
       "      <td>5.516</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.098246</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>2203988169026743936</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.114133</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1688.865201</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>1688.844360</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>1688.998970</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>7.506991</td>\n",
       "      <td>0.000171</td>\n",
       "      <td>8.052174</td>\n",
       "      <td>0.000583</td>\n",
       "      <td>6.842833</td>\n",
       "      <td>0.000427</td>\n",
       "      <td>0.341179</td>\n",
       "      <td>0.000579</td>\n",
       "      <td>0.471053</td>\n",
       "      <td>0.003398</td>\n",
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       "      <td>0.001138</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.210140</td>\n",
       "      <td>0.001544</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.798844</td>\n",
       "      <td>0.015501</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>26</td>\n",
       "      <td>25</td>\n",
       "      <td>26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>153</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 2932101334643047680</td>\n",
       "      <td>2932101334643047680</td>\n",
       "      <td>1376140687</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>105.103468</td>\n",
       "      <td>0.019987</td>\n",
       "      <td>-20.431696</td>\n",
       "      <td>0.030910</td>\n",
       "      <td>0.181629</td>\n",
       "      <td>0.041452</td>\n",
       "      <td>4.381669</td>\n",
       "      <td>-0.448678</td>\n",
       "      <td>0.054827</td>\n",
       "      <td>1.761444</td>\n",
       "      <td>0.064121</td>\n",
       "      <td>0.128559</td>\n",
       "      <td>-0.133594</td>\n",
       "      <td>0.028327</td>\n",
       "      <td>0.303781</td>\n",
       "      <td>0.237162</td>\n",
       "      <td>0.464114</td>\n",
       "      <td>-0.266122</td>\n",
       "      <td>0.369636</td>\n",
       "      <td>-0.418477</td>\n",
       "      <td>-0.261877</td>\n",
       "      <td>330</td>\n",
       "      <td>303</td>\n",
       "      <td>326</td>\n",
       "      <td>4</td>\n",
       "      <td>2.084116</td>\n",
       "      <td>376.01407</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>236.655910</td>\n",
       "      <td>1.534854</td>\n",
       "      <td>0.006322</td>\n",
       "      <td>-0.007154</td>\n",
       "      <td>38</td>\n",
       "      <td>12</td>\n",
       "      <td>0.047095</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>False</td>\n",
       "      <td>340</td>\n",
       "      <td>1.574567e+05</td>\n",
       "      <td>1.557920e+03</td>\n",
       "      <td>101.068504</td>\n",
       "      <td>12.695463</td>\n",
       "      <td>36</td>\n",
       "      <td>6.878616e+04</td>\n",
       "      <td>2.461555e+03</td>\n",
       "      <td>27.944197</td>\n",
       "      <td>13.257635</td>\n",
       "      <td>36</td>\n",
       "      <td>1.255784e+05</td>\n",
       "      <td>3.086140e+03</td>\n",
       "      <td>40.691086</td>\n",
       "      <td>12.014633</td>\n",
       "      <td>1.234400</td>\n",
       "      <td>0</td>\n",
       "      <td>1.243002</td>\n",
       "      <td>0.562172</td>\n",
       "      <td>0.680830</td>\n",
       "      <td>76.684997</td>\n",
       "      <td>5.650715</td>\n",
       "      <td>10</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>232.204932</td>\n",
       "      <td>-7.268798</td>\n",
       "      <td>109.456014</td>\n",
       "      <td>-42.856200</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4837.5800</td>\n",
       "      <td>4776.5100</td>\n",
       "      <td>4916.6133</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>164</td>\n",
       "      <td>XZ Cma</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.4082</td>\n",
       "      <td>10.970</td>\n",
       "      <td>10.558</td>\n",
       "      <td>10.390</td>\n",
       "      <td>-0.57</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.92</td>\n",
       "      <td>0.07</td>\n",
       "      <td>12567</td>\n",
       "      <td>447</td>\n",
       "      <td>c</td>\n",
       "      <td>YON</td>\n",
       "      <td>105.10346</td>\n",
       "      <td>-20.43169</td>\n",
       "      <td>0.034090</td>\n",
       "      <td>V* XZ CMa</td>\n",
       "      <td>105.103470</td>\n",
       "      <td>-20.431703</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>23</td>\n",
       "      <td>07 00 24.83282</td>\n",
       "      <td>-20 25 54.1320</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |IR</td>\n",
       "      <td>76.680</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1816</td>\n",
       "      <td>-0.45</td>\n",
       "      <td>1.76</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.191</td>\n",
       "      <td>10.786</td>\n",
       "      <td>10.612</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.028174</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>2932101334643047680</td>\n",
       "      <td>2.557780</td>\n",
       "      <td>0.000004</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1755.363861</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>1755.336105</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>1755.354102</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>12.650021</td>\n",
       "      <td>0.000165</td>\n",
       "      <td>13.149212</td>\n",
       "      <td>0.000407</td>\n",
       "      <td>11.980394</td>\n",
       "      <td>0.000296</td>\n",
       "      <td>0.868423</td>\n",
       "      <td>0.001018</td>\n",
       "      <td>1.122315</td>\n",
       "      <td>0.003339</td>\n",
       "      <td>0.690190</td>\n",
       "      <td>0.002642</td>\n",
       "      <td>-0.451024</td>\n",
       "      <td>0.219740</td>\n",
       "      <td>0.530515</td>\n",
       "      <td>0.000617</td>\n",
       "      <td>0.293016</td>\n",
       "      <td>0.000788</td>\n",
       "      <td>4.198681</td>\n",
       "      <td>0.001559</td>\n",
       "      <td>2.257726</td>\n",
       "      <td>0.003011</td>\n",
       "      <td>40</td>\n",
       "      <td>35</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>154</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3027940437469882880</td>\n",
       "      <td>3027940437469882880</td>\n",
       "      <td>833010805</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>110.386898</td>\n",
       "      <td>0.027645</td>\n",
       "      <td>-16.687218</td>\n",
       "      <td>0.029952</td>\n",
       "      <td>0.491694</td>\n",
       "      <td>0.039590</td>\n",
       "      <td>12.419719</td>\n",
       "      <td>-1.511957</td>\n",
       "      <td>0.056746</td>\n",
       "      <td>1.031370</td>\n",
       "      <td>0.054832</td>\n",
       "      <td>-0.069702</td>\n",
       "      <td>0.158370</td>\n",
       "      <td>0.153088</td>\n",
       "      <td>0.254095</td>\n",
       "      <td>0.134324</td>\n",
       "      <td>0.313040</td>\n",
       "      <td>-0.161127</td>\n",
       "      <td>0.413549</td>\n",
       "      <td>-0.049444</td>\n",
       "      <td>-0.158885</td>\n",
       "      <td>217</td>\n",
       "      <td>217</td>\n",
       "      <td>211</td>\n",
       "      <td>6</td>\n",
       "      <td>5.802683</td>\n",
       "      <td>346.71094</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>273.163900</td>\n",
       "      <td>1.515421</td>\n",
       "      <td>0.008160</td>\n",
       "      <td>-0.063590</td>\n",
       "      <td>25</td>\n",
       "      <td>14</td>\n",
       "      <td>0.040327</td>\n",
       "      <td>0</td>\n",
       "      <td>29</td>\n",
       "      <td>False</td>\n",
       "      <td>242</td>\n",
       "      <td>3.452719e+06</td>\n",
       "      <td>3.459137e+04</td>\n",
       "      <td>99.814450</td>\n",
       "      <td>9.342962</td>\n",
       "      <td>26</td>\n",
       "      <td>1.442895e+06</td>\n",
       "      <td>4.930179e+04</td>\n",
       "      <td>29.266590</td>\n",
       "      <td>9.953301</td>\n",
       "      <td>27</td>\n",
       "      <td>2.989225e+06</td>\n",
       "      <td>5.959555e+04</td>\n",
       "      <td>50.158527</td>\n",
       "      <td>8.573024</td>\n",
       "      <td>1.283661</td>\n",
       "      <td>0</td>\n",
       "      <td>1.380278</td>\n",
       "      <td>0.610339</td>\n",
       "      <td>0.769938</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>231.162012</td>\n",
       "      <td>-1.103313</td>\n",
       "      <td>115.185932</td>\n",
       "      <td>-38.360731</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4807.9663</td>\n",
       "      <td>4576.9497</td>\n",
       "      <td>5033.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>36.824657</td>\n",
       "      <td>33.605293</td>\n",
       "      <td>40.635840</td>\n",
       "      <td>652.856600</td>\n",
       "      <td>575.49660</td>\n",
       "      <td>730.216700</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>350</td>\n",
       "      <td>RZ Cma</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6289</td>\n",
       "      <td>7.533</td>\n",
       "      <td>7.178</td>\n",
       "      <td>6.967</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.06</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>11.25</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9162</td>\n",
       "      <td>448</td>\n",
       "      <td>a</td>\n",
       "      <td>LEM</td>\n",
       "      <td>110.38691</td>\n",
       "      <td>-16.68722</td>\n",
       "      <td>0.040691</td>\n",
       "      <td>V* RZ CMa</td>\n",
       "      <td>110.386905</td>\n",
       "      <td>-16.687222</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>75</td>\n",
       "      <td>07 21 32.85725</td>\n",
       "      <td>-16 41 14.0003</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |*  |IR</td>\n",
       "      <td>23.000</td>\n",
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       "      <td>F6</td>\n",
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       "      <td>1.03</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>10.750</td>\n",
       "      <td>9.720</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.511</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.028369</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>3027940437469882880</td>\n",
       "      <td>4.256890</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>1714.167232</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>1748.127628</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>1748.186890</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>9.316514</td>\n",
       "      <td>0.000117</td>\n",
       "      <td>9.948911</td>\n",
       "      <td>0.000291</td>\n",
       "      <td>8.591004</td>\n",
       "      <td>0.000293</td>\n",
       "      <td>0.477847</td>\n",
       "      <td>0.000527</td>\n",
       "      <td>0.604684</td>\n",
       "      <td>0.001610</td>\n",
       "      <td>0.397541</td>\n",
       "      <td>0.001372</td>\n",
       "      <td>0.491285</td>\n",
       "      <td>0.224981</td>\n",
       "      <td>0.257007</td>\n",
       "      <td>0.000887</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.327806</td>\n",
       "      <td>0.003224</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>27</td>\n",
       "      <td>23</td>\n",
       "      <td>22</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>155</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3046774762417915136</td>\n",
       "      <td>3046774762417915136</td>\n",
       "      <td>110030686</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>109.156804</td>\n",
       "      <td>0.035521</td>\n",
       "      <td>-11.487298</td>\n",
       "      <td>0.032039</td>\n",
       "      <td>0.616425</td>\n",
       "      <td>0.047487</td>\n",
       "      <td>12.980889</td>\n",
       "      <td>-2.771330</td>\n",
       "      <td>0.069418</td>\n",
       "      <td>1.776549</td>\n",
       "      <td>0.060706</td>\n",
       "      <td>-0.196249</td>\n",
       "      <td>0.176717</td>\n",
       "      <td>0.171950</td>\n",
       "      <td>0.372094</td>\n",
       "      <td>0.015817</td>\n",
       "      <td>0.438413</td>\n",
       "      <td>0.270920</td>\n",
       "      <td>0.273159</td>\n",
       "      <td>-0.250304</td>\n",
       "      <td>-0.276762</td>\n",
       "      <td>480</td>\n",
       "      <td>480</td>\n",
       "      <td>475</td>\n",
       "      <td>5</td>\n",
       "      <td>3.038194</td>\n",
       "      <td>568.68120</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>96.974940</td>\n",
       "      <td>1.544338</td>\n",
       "      <td>0.007177</td>\n",
       "      <td>0.015402</td>\n",
       "      <td>54</td>\n",
       "      <td>13</td>\n",
       "      <td>0.046597</td>\n",
       "      <td>0</td>\n",
       "      <td>66</td>\n",
       "      <td>False</td>\n",
       "      <td>542</td>\n",
       "      <td>1.279304e+07</td>\n",
       "      <td>9.549719e+04</td>\n",
       "      <td>133.962460</td>\n",
       "      <td>7.920931</td>\n",
       "      <td>55</td>\n",
       "      <td>5.670556e+06</td>\n",
       "      <td>1.741835e+05</td>\n",
       "      <td>32.555073</td>\n",
       "      <td>8.467324</td>\n",
       "      <td>60</td>\n",
       "      <td>1.029249e+07</td>\n",
       "      <td>2.009183e+05</td>\n",
       "      <td>51.227234</td>\n",
       "      <td>7.230619</td>\n",
       "      <td>1.247792</td>\n",
       "      <td>0</td>\n",
       "      <td>1.236705</td>\n",
       "      <td>0.546393</td>\n",
       "      <td>0.690312</td>\n",
       "      <td>46.381589</td>\n",
       "      <td>2.558675</td>\n",
       "      <td>24</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>226.008809</td>\n",
       "      <td>0.278228</td>\n",
       "      <td>112.664704</td>\n",
       "      <td>-33.431537</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4915.0200</td>\n",
       "      <td>4838.0000</td>\n",
       "      <td>5059.6570</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>53.359060</td>\n",
       "      <td>50.351980</td>\n",
       "      <td>55.071514</td>\n",
       "      <td>1496.966900</td>\n",
       "      <td>1335.95300</td>\n",
       "      <td>1657.980800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>349</td>\n",
       "      <td>RY Cma</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6701</td>\n",
       "      <td>6.363</td>\n",
       "      <td>6.042</td>\n",
       "      <td>5.874</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.35</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8796</td>\n",
       "      <td>450</td>\n",
       "      <td>a</td>\n",
       "      <td>LEM</td>\n",
       "      <td>109.15681</td>\n",
       "      <td>-11.48730</td>\n",
       "      <td>0.023786</td>\n",
       "      <td>V* RY CMa</td>\n",
       "      <td>109.156816</td>\n",
       "      <td>-11.487305</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>136</td>\n",
       "      <td>07 16 37.63581</td>\n",
       "      <td>-11 29 14.2990</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>34.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8Ib/II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.6164</td>\n",
       "      <td>-2.77</td>\n",
       "      <td>1.78</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.990</td>\n",
       "      <td>8.190</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.273</td>\n",
       "      <td>5.996</td>\n",
       "      <td>5.853</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.051024</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>3046774762417915136</td>\n",
       "      <td>4.678300</td>\n",
       "      <td>0.000022</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1710.980192</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>1710.924837</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>1710.991148</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>7.830550</td>\n",
       "      <td>0.000093</td>\n",
       "      <td>8.329799</td>\n",
       "      <td>0.000268</td>\n",
       "      <td>7.200977</td>\n",
       "      <td>0.000155</td>\n",
       "      <td>0.616233</td>\n",
       "      <td>0.000511</td>\n",
       "      <td>0.768025</td>\n",
       "      <td>0.001492</td>\n",
       "      <td>0.478472</td>\n",
       "      <td>0.000917</td>\n",
       "      <td>0.022814</td>\n",
       "      <td>0.224973</td>\n",
       "      <td>0.393714</td>\n",
       "      <td>0.000639</td>\n",
       "      <td>0.169846</td>\n",
       "      <td>0.000827</td>\n",
       "      <td>4.421172</td>\n",
       "      <td>0.002135</td>\n",
       "      <td>2.617212</td>\n",
       "      <td>0.004847</td>\n",
       "      <td>61</td>\n",
       "      <td>52</td>\n",
       "      <td>59</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>156</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3050050207554658048</td>\n",
       "      <td>3050050207554658048</td>\n",
       "      <td>1006829389</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>105.249240</td>\n",
       "      <td>0.030249</td>\n",
       "      <td>-8.708983</td>\n",
       "      <td>0.036698</td>\n",
       "      <td>0.268923</td>\n",
       "      <td>0.044216</td>\n",
       "      <td>6.082084</td>\n",
       "      <td>-2.282974</td>\n",
       "      <td>0.065396</td>\n",
       "      <td>1.805041</td>\n",
       "      <td>0.063180</td>\n",
       "      <td>-0.050132</td>\n",
       "      <td>0.095626</td>\n",
       "      <td>-0.039320</td>\n",
       "      <td>0.140561</td>\n",
       "      <td>-0.494638</td>\n",
       "      <td>0.026922</td>\n",
       "      <td>-0.243454</td>\n",
       "      <td>0.154984</td>\n",
       "      <td>0.030799</td>\n",
       "      <td>0.143455</td>\n",
       "      <td>196</td>\n",
       "      <td>196</td>\n",
       "      <td>191</td>\n",
       "      <td>5</td>\n",
       "      <td>10.879393</td>\n",
       "      <td>483.37128</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>303.920230</td>\n",
       "      <td>1.490261</td>\n",
       "      <td>0.008454</td>\n",
       "      <td>-0.047026</td>\n",
       "      <td>22</td>\n",
       "      <td>12</td>\n",
       "      <td>0.043260</td>\n",
       "      <td>0</td>\n",
       "      <td>24</td>\n",
       "      <td>False</td>\n",
       "      <td>206</td>\n",
       "      <td>2.585870e+06</td>\n",
       "      <td>2.529019e+04</td>\n",
       "      <td>102.247960</td>\n",
       "      <td>9.656849</td>\n",
       "      <td>22</td>\n",
       "      <td>9.373447e+05</td>\n",
       "      <td>3.531627e+04</td>\n",
       "      <td>26.541441</td>\n",
       "      <td>10.421639</td>\n",
       "      <td>23</td>\n",
       "      <td>2.361886e+06</td>\n",
       "      <td>5.511012e+04</td>\n",
       "      <td>42.857567</td>\n",
       "      <td>8.828773</td>\n",
       "      <td>1.275868</td>\n",
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       "      <td>1.592867</td>\n",
       "      <td>0.764791</td>\n",
       "      <td>0.828076</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>221.769426</td>\n",
       "      <td>-1.854478</td>\n",
       "      <td>107.697996</td>\n",
       "      <td>-31.216146</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4232.0000</td>\n",
       "      <td>4169.7676</td>\n",
       "      <td>4306.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>84.294270</td>\n",
       "      <td>81.421920</td>\n",
       "      <td>86.829180</td>\n",
       "      <td>2053.399700</td>\n",
       "      <td>1573.47220</td>\n",
       "      <td>2533.327100</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>233</td>\n",
       "      <td>AC Mon</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.9039</td>\n",
       "      <td>7.577</td>\n",
       "      <td>7.066</td>\n",
       "      <td>6.849</td>\n",
       "      <td>-0.03</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.94</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9895</td>\n",
       "      <td>448</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>105.24925</td>\n",
       "      <td>-8.70899</td>\n",
       "      <td>0.041665</td>\n",
       "      <td>V* AC Mon</td>\n",
       "      <td>105.249250</td>\n",
       "      <td>-8.708991</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>65</td>\n",
       "      <td>07 00 59.82010</td>\n",
       "      <td>-08 42 32.3678</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>40.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5</td>\n",
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       "      <td>-2.28</td>\n",
       "      <td>1.81</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.370</td>\n",
       "      <td>10.290</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.531</td>\n",
       "      <td>7.047</td>\n",
       "      <td>6.856</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.045110</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>3050050207554658048</td>\n",
       "      <td>8.011272</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1699.201221</td>\n",
       "      <td>0.000099</td>\n",
       "      <td>1705.568629</td>\n",
       "      <td>0.000099</td>\n",
       "      <td>1699.266049</td>\n",
       "      <td>0.000099</td>\n",
       "      <td>9.622320</td>\n",
       "      <td>0.000221</td>\n",
       "      <td>10.317295</td>\n",
       "      <td>0.001787</td>\n",
       "      <td>8.785527</td>\n",
       "      <td>0.000364</td>\n",
       "      <td>0.446058</td>\n",
       "      <td>0.000926</td>\n",
       "      <td>0.729531</td>\n",
       "      <td>0.009954</td>\n",
       "      <td>0.439195</td>\n",
       "      <td>0.001195</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>22</td>\n",
       "      <td>20</td>\n",
       "      <td>21</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>157</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3051144427784813824</td>\n",
       "      <td>3051144427784813824</td>\n",
       "      <td>735459582</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>103.547655</td>\n",
       "      <td>0.025922</td>\n",
       "      <td>-7.664379</td>\n",
       "      <td>0.027486</td>\n",
       "      <td>-0.025590</td>\n",
       "      <td>0.037269</td>\n",
       "      <td>-0.686627</td>\n",
       "      <td>-0.122240</td>\n",
       "      <td>0.068214</td>\n",
       "      <td>0.510090</td>\n",
       "      <td>0.057830</td>\n",
       "      <td>-0.651840</td>\n",
       "      <td>0.377990</td>\n",
       "      <td>-0.230106</td>\n",
       "      <td>0.247487</td>\n",
       "      <td>-0.338400</td>\n",
       "      <td>0.301004</td>\n",
       "      <td>-0.240771</td>\n",
       "      <td>-0.088288</td>\n",
       "      <td>-0.084076</td>\n",
       "      <td>0.054369</td>\n",
       "      <td>292</td>\n",
       "      <td>18</td>\n",
       "      <td>288</td>\n",
       "      <td>4</td>\n",
       "      <td>4.755099</td>\n",
       "      <td>411.01532</td>\n",
       "      <td>0.125601</td>\n",
       "      <td>3.851516e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>38.475770</td>\n",
       "      <td>1.469824</td>\n",
       "      <td>0.003342</td>\n",
       "      <td>-0.050678</td>\n",
       "      <td>33</td>\n",
       "      <td>11</td>\n",
       "      <td>0.067978</td>\n",
       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>True</td>\n",
       "      <td>302</td>\n",
       "      <td>8.335671e+04</td>\n",
       "      <td>1.240252e+03</td>\n",
       "      <td>67.209500</td>\n",
       "      <td>13.386014</td>\n",
       "      <td>34</td>\n",
       "      <td>3.136635e+04</td>\n",
       "      <td>1.863175e+03</td>\n",
       "      <td>16.834894</td>\n",
       "      <td>14.110229</td>\n",
       "      <td>34</td>\n",
       "      <td>7.903963e+04</td>\n",
       "      <td>2.887989e+03</td>\n",
       "      <td>27.368397</td>\n",
       "      <td>12.517308</td>\n",
       "      <td>1.324500</td>\n",
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       "      <td>1.592920</td>\n",
       "      <td>0.724215</td>\n",
       "      <td>0.868706</td>\n",
       "      <td>85.751349</td>\n",
       "      <td>0.973089</td>\n",
       "      <td>4</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>3.5</td>\n",
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       "      <td>220.071232</td>\n",
       "      <td>-2.878648</td>\n",
       "      <td>105.610281</td>\n",
       "      <td>-30.372445</td>\n",
       "      <td>110001.0</td>\n",
       "      <td>4355.0000</td>\n",
       "      <td>4171.4053</td>\n",
       "      <td>4726.2800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>246</td>\n",
       "      <td>YY Mon</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5384</td>\n",
       "      <td>11.314</td>\n",
       "      <td>10.802</td>\n",
       "      <td>10.638</td>\n",
       "      <td>-0.46</td>\n",
       "      <td>-0.49</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.53</td>\n",
       "      <td>0.06</td>\n",
       "      <td>15011</td>\n",
       "      <td>480</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>103.54767</td>\n",
       "      <td>-7.66436</td>\n",
       "      <td>0.086161</td>\n",
       "      <td>V* YY Mon</td>\n",
       "      <td>103.547656</td>\n",
       "      <td>-7.664381</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>19</td>\n",
       "      <td>06 54 11.43735</td>\n",
       "      <td>-07 39 51.7717</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |IR</td>\n",
       "      <td>85.750</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>0.51</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.850</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.484</td>\n",
       "      <td>10.941</td>\n",
       "      <td>10.767</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.008130</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>3051144427784813824</td>\n",
       "      <td>3.454034</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1714.378838</td>\n",
       "      <td>0.000016</td>\n",
       "      <td>1714.361581</td>\n",
       "      <td>0.000016</td>\n",
       "      <td>1714.371227</td>\n",
       "      <td>0.000016</td>\n",
       "      <td>13.282120</td>\n",
       "      <td>0.000220</td>\n",
       "      <td>13.983784</td>\n",
       "      <td>0.000606</td>\n",
       "      <td>12.439991</td>\n",
       "      <td>0.000442</td>\n",
       "      <td>0.948435</td>\n",
       "      <td>0.001179</td>\n",
       "      <td>1.148393</td>\n",
       "      <td>0.002878</td>\n",
       "      <td>0.819508</td>\n",
       "      <td>0.002626</td>\n",
       "      <td>-0.425407</td>\n",
       "      <td>0.219770</td>\n",
       "      <td>0.522695</td>\n",
       "      <td>0.001302</td>\n",
       "      <td>0.333784</td>\n",
       "      <td>0.001166</td>\n",
       "      <td>4.311354</td>\n",
       "      <td>0.002522</td>\n",
       "      <td>2.489769</td>\n",
       "      <td>0.005965</td>\n",
       "      <td>35</td>\n",
       "      <td>32</td>\n",
       "      <td>32</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>158</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3051692843568009600</td>\n",
       "      <td>3051692843568009600</td>\n",
       "      <td>693181250</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>106.785619</td>\n",
       "      <td>0.032435</td>\n",
       "      <td>-7.795128</td>\n",
       "      <td>0.034321</td>\n",
       "      <td>0.127636</td>\n",
       "      <td>0.044864</td>\n",
       "      <td>2.844972</td>\n",
       "      <td>-0.413120</td>\n",
       "      <td>0.070397</td>\n",
       "      <td>0.772191</td>\n",
       "      <td>0.060716</td>\n",
       "      <td>-0.224269</td>\n",
       "      <td>0.275090</td>\n",
       "      <td>-0.050772</td>\n",
       "      <td>0.336965</td>\n",
       "      <td>0.086104</td>\n",
       "      <td>0.334754</td>\n",
       "      <td>-0.432998</td>\n",
       "      <td>0.504979</td>\n",
       "      <td>0.062591</td>\n",
       "      <td>-0.137146</td>\n",
       "      <td>187</td>\n",
       "      <td>160</td>\n",
       "      <td>183</td>\n",
       "      <td>4</td>\n",
       "      <td>2.476344</td>\n",
       "      <td>228.14345</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.093143e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>253.673580</td>\n",
       "      <td>1.467486</td>\n",
       "      <td>0.006943</td>\n",
       "      <td>-0.124931</td>\n",
       "      <td>21</td>\n",
       "      <td>10</td>\n",
       "      <td>0.049851</td>\n",
       "      <td>0</td>\n",
       "      <td>21</td>\n",
       "      <td>False</td>\n",
       "      <td>187</td>\n",
       "      <td>1.790682e+05</td>\n",
       "      <td>2.352201e+03</td>\n",
       "      <td>76.127920</td>\n",
       "      <td>12.555820</td>\n",
       "      <td>19</td>\n",
       "      <td>6.379230e+04</td>\n",
       "      <td>3.888379e+03</td>\n",
       "      <td>16.405884</td>\n",
       "      <td>13.339468</td>\n",
       "      <td>19</td>\n",
       "      <td>1.652589e+05</td>\n",
       "      <td>5.717352e+03</td>\n",
       "      <td>28.904806</td>\n",
       "      <td>11.716508</td>\n",
       "      <td>1.279129</td>\n",
       "      <td>0</td>\n",
       "      <td>1.622960</td>\n",
       "      <td>0.783648</td>\n",
       "      <td>0.839312</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>221.654092</td>\n",
       "      <td>-0.084277</td>\n",
       "      <td>109.315705</td>\n",
       "      <td>-30.115761</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4241.0000</td>\n",
       "      <td>4023.6800</td>\n",
       "      <td>4494.8600</td>\n",
       "      <td>0.3940</td>\n",
       "      <td>0.1667</td>\n",
       "      <td>1.8260</td>\n",
       "      <td>0.1793</td>\n",
       "      <td>0.0954</td>\n",
       "      <td>1.0204</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>237</td>\n",
       "      <td>FG Mon</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6529</td>\n",
       "      <td>10.513</td>\n",
       "      <td>9.976</td>\n",
       "      <td>9.743</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.96</td>\n",
       "      <td>0.05</td>\n",
       "      <td>13226</td>\n",
       "      <td>450</td>\n",
       "      <td>b|</td>\n",
       "      <td>LIII</td>\n",
       "      <td>106.78562</td>\n",
       "      <td>-7.79514</td>\n",
       "      <td>0.042625</td>\n",
       "      <td>V* FG Mon</td>\n",
       "      <td>106.785621</td>\n",
       "      <td>-7.795132</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>32</td>\n",
       "      <td>07 07 08.54903</td>\n",
       "      <td>-07 47 42.4735</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1276</td>\n",
       "      <td>-0.41</td>\n",
       "      <td>0.77</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.440</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.689</td>\n",
       "      <td>10.107</td>\n",
       "      <td>9.845</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.013574</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>3051692843568009600</td>\n",
       "      <td>4.788007</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1711.802535</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>1710.872757</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>1710.870374</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>12.540129</td>\n",
       "      <td>0.000130</td>\n",
       "      <td>13.267946</td>\n",
       "      <td>0.000370</td>\n",
       "      <td>11.695817</td>\n",
       "      <td>0.000259</td>\n",
       "      <td>0.631418</td>\n",
       "      <td>0.001106</td>\n",
       "      <td>0.695113</td>\n",
       "      <td>0.001814</td>\n",
       "      <td>0.397135</td>\n",
       "      <td>0.001243</td>\n",
       "      <td>-0.039970</td>\n",
       "      <td>0.225024</td>\n",
       "      <td>0.412036</td>\n",
       "      <td>0.001395</td>\n",
       "      <td>0.410894</td>\n",
       "      <td>0.001640</td>\n",
       "      <td>0.957888</td>\n",
       "      <td>0.002945</td>\n",
       "      <td>3.140309</td>\n",
       "      <td>0.004103</td>\n",
       "      <td>20</td>\n",
       "      <td>18</td>\n",
       "      <td>18</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>159</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3052092481686246016</td>\n",
       "      <td>3052092481686246016</td>\n",
       "      <td>1009381090</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>107.658298</td>\n",
       "      <td>0.031071</td>\n",
       "      <td>-7.122901</td>\n",
       "      <td>0.032809</td>\n",
       "      <td>0.138431</td>\n",
       "      <td>0.037973</td>\n",
       "      <td>3.645555</td>\n",
       "      <td>-0.930780</td>\n",
       "      <td>0.068151</td>\n",
       "      <td>1.119547</td>\n",
       "      <td>0.061490</td>\n",
       "      <td>-0.123291</td>\n",
       "      <td>0.143294</td>\n",
       "      <td>-0.247737</td>\n",
       "      <td>0.176300</td>\n",
       "      <td>-0.068425</td>\n",
       "      <td>0.194614</td>\n",
       "      <td>-0.355499</td>\n",
       "      <td>0.144523</td>\n",
       "      <td>-0.088321</td>\n",
       "      <td>0.049257</td>\n",
       "      <td>167</td>\n",
       "      <td>158</td>\n",
       "      <td>164</td>\n",
       "      <td>3</td>\n",
       "      <td>2.854587</td>\n",
       "      <td>214.71475</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>262.299470</td>\n",
       "      <td>1.471390</td>\n",
       "      <td>0.007905</td>\n",
       "      <td>-0.018852</td>\n",
       "      <td>19</td>\n",
       "      <td>11</td>\n",
       "      <td>0.046012</td>\n",
       "      <td>0</td>\n",
       "      <td>19</td>\n",
       "      <td>False</td>\n",
       "      <td>167</td>\n",
       "      <td>1.852457e+05</td>\n",
       "      <td>2.584173e+03</td>\n",
       "      <td>71.684700</td>\n",
       "      <td>12.518995</td>\n",
       "      <td>16</td>\n",
       "      <td>7.105442e+04</td>\n",
       "      <td>4.265048e+03</td>\n",
       "      <td>16.659698</td>\n",
       "      <td>13.222410</td>\n",
       "      <td>16</td>\n",
       "      <td>1.732482e+05</td>\n",
       "      <td>6.608251e+03</td>\n",
       "      <td>26.216946</td>\n",
       "      <td>11.665248</td>\n",
       "      <td>1.318803</td>\n",
       "      <td>0</td>\n",
       "      <td>1.557162</td>\n",
       "      <td>0.703415</td>\n",
       "      <td>0.853747</td>\n",
       "      <td>95.842459</td>\n",
       "      <td>7.731648</td>\n",
       "      <td>4</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>221.456349</td>\n",
       "      <td>0.993459</td>\n",
       "      <td>110.197932</td>\n",
       "      <td>-29.332401</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4445.6665</td>\n",
       "      <td>4276.1567</td>\n",
       "      <td>4637.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>238</td>\n",
       "      <td>FI Mon</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5169</td>\n",
       "      <td>10.425</td>\n",
       "      <td>9.939</td>\n",
       "      <td>9.733</td>\n",
       "      <td>-0.11</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.55</td>\n",
       "      <td>0.05</td>\n",
       "      <td>12257</td>\n",
       "      <td>447</td>\n",
       "      <td>b|</td>\n",
       "      <td>LIII</td>\n",
       "      <td>107.65829</td>\n",
       "      <td>-7.12289</td>\n",
       "      <td>0.048689</td>\n",
       "      <td>V* FI Mon</td>\n",
       "      <td>107.658302</td>\n",
       "      <td>-7.122906</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>37</td>\n",
       "      <td>07 10 37.99242</td>\n",
       "      <td>-07 07 22.4615</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>95.840</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1384</td>\n",
       "      <td>-0.93</td>\n",
       "      <td>1.12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.070</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.322</td>\n",
       "      <td>9.862</td>\n",
       "      <td>9.655</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.022567</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>3052092481686246016</td>\n",
       "      <td>3.947152</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1711.917070</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>1711.964544</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>1712.257478</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>12.519994</td>\n",
       "      <td>0.000258</td>\n",
       "      <td>13.228878</td>\n",
       "      <td>0.009926</td>\n",
       "      <td>11.643262</td>\n",
       "      <td>0.000251</td>\n",
       "      <td>0.574003</td>\n",
       "      <td>0.000942</td>\n",
       "      <td>0.768767</td>\n",
       "      <td>0.004344</td>\n",
       "      <td>0.473534</td>\n",
       "      <td>0.001840</td>\n",
       "      <td>-0.195926</td>\n",
       "      <td>0.219852</td>\n",
       "      <td>0.452648</td>\n",
       "      <td>0.002115</td>\n",
       "      <td>0.445321</td>\n",
       "      <td>0.002353</td>\n",
       "      <td>4.466822</td>\n",
       "      <td>0.003696</td>\n",
       "      <td>1.879913</td>\n",
       "      <td>0.004629</td>\n",
       "      <td>18</td>\n",
       "      <td>16</td>\n",
       "      <td>16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>160</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3099066951319051008</td>\n",
       "      <td>3099066951319051008</td>\n",
       "      <td>1507808420</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>102.702843</td>\n",
       "      <td>0.022796</td>\n",
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       "      <td>0.141794</td>\n",
       "      <td>0.032653</td>\n",
       "      <td>4.342438</td>\n",
       "      <td>-0.358865</td>\n",
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       "      <td>0.756953</td>\n",
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       "      <td>-0.386299</td>\n",
       "      <td>0.233756</td>\n",
       "      <td>-0.013834</td>\n",
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       "      <td>0.188676</td>\n",
       "      <td>0.157360</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
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       "      <td>1.489006</td>\n",
       "      <td>0.005004</td>\n",
       "      <td>-0.042203</td>\n",
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       "      <td>False</td>\n",
       "      <td>302</td>\n",
       "      <td>1.655842e+05</td>\n",
       "      <td>2.127582e+03</td>\n",
       "      <td>77.827415</td>\n",
       "      <td>12.640819</td>\n",
       "      <td>32</td>\n",
       "      <td>6.149885e+04</td>\n",
       "      <td>3.259747e+03</td>\n",
       "      <td>18.866142</td>\n",
       "      <td>13.379221</td>\n",
       "      <td>32</td>\n",
       "      <td>1.493897e+05</td>\n",
       "      <td>5.043835e+03</td>\n",
       "      <td>29.618282</td>\n",
       "      <td>11.826118</td>\n",
       "      <td>1.273603</td>\n",
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       "      <td>1.553103</td>\n",
       "      <td>0.738402</td>\n",
       "      <td>0.814700</td>\n",
       "      <td>80.630582</td>\n",
       "      <td>6.219442</td>\n",
       "      <td>9</td>\n",
       "      <td>6000.0</td>\n",
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       "      <td>VARIABLE</td>\n",
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       "      <td>-3.768097</td>\n",
       "      <td>104.682092</td>\n",
       "      <td>-30.774853</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4339.0900</td>\n",
       "      <td>4203.1800</td>\n",
       "      <td>4505.2827</td>\n",
       "      <td>0.2927</td>\n",
       "      <td>0.0546</td>\n",
       "      <td>2.1634</td>\n",
       "      <td>0.1303</td>\n",
       "      <td>0.0225</td>\n",
       "      <td>1.2405</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>236</td>\n",
       "      <td>EE Mon</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6821</td>\n",
       "      <td>10.866</td>\n",
       "      <td>10.309</td>\n",
       "      <td>10.094</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>14.41</td>\n",
       "      <td>0.07</td>\n",
       "      <td>14593</td>\n",
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       "      <td>102.70283</td>\n",
       "      <td>-7.98072</td>\n",
       "      <td>0.054406</td>\n",
       "      <td>V* EE Mon</td>\n",
       "      <td>102.702845</td>\n",
       "      <td>-7.980731</td>\n",
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       "      <td>80.630</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.030</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>0.012985</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>3099066951319051008</td>\n",
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       "      <td>1712.346367</td>\n",
       "      <td>0.000054</td>\n",
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       "      <td>0.008637</td>\n",
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       "      <td>31</td>\n",
       "      <td>32</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>DCEP</td>\n",
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       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>161</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3105345570728492416</td>\n",
       "      <td>3105345570728492416</td>\n",
       "      <td>10386200</td>\n",
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       "      <td>5.110972e+05</td>\n",
       "      <td>5.870509e+03</td>\n",
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       "      <td>1.121983e+04</td>\n",
       "      <td>18.658587</td>\n",
       "      <td>12.049226</td>\n",
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       "      <td>1.492257e+04</td>\n",
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       "      <td>100001.0</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>242</td>\n",
       "      <td>V504 Mon</td>\n",
       "      <td>CEP</td>\n",
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       "      <td>9.713</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>15</td>\n",
       "      <td>13</td>\n",
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       "      <td>DCEP</td>\n",
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       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>162</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3112550812164329856</td>\n",
       "      <td>3112550812164329856</td>\n",
       "      <td>1533523235</td>\n",
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       "      <td>0.080769</td>\n",
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       "      <td>7.877838e+06</td>\n",
       "      <td>4.817711e+04</td>\n",
       "      <td>163.518280</td>\n",
       "      <td>8.447349</td>\n",
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       "      <td>4.143053e+06</td>\n",
       "      <td>9.699669e+04</td>\n",
       "      <td>42.713337</td>\n",
       "      <td>8.808087</td>\n",
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       "      <td>5.323696e+06</td>\n",
       "      <td>7.043057e+04</td>\n",
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       "      <td>-23.665321</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5573.0000</td>\n",
       "      <td>5310.3650</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>200111.0</td>\n",
       "      <td>45.497650</td>\n",
       "      <td>41.911980</td>\n",
       "      <td>50.109290</td>\n",
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       "      <td>1539.86320</td>\n",
       "      <td>2058.117200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>243</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>163</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3117307814859500416</td>\n",
       "      <td>3117307814859500416</td>\n",
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       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
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       "    <tr>\n",
       "      <th>164</th>\n",
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       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>165</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3329849043206545920</td>\n",
       "      <td>3329849043206545920</td>\n",
       "      <td>996840204</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>92.806594</td>\n",
       "      <td>0.043733</td>\n",
       "      <td>9.612492</td>\n",
       "      <td>0.045782</td>\n",
       "      <td>0.387307</td>\n",
       "      <td>0.059261</td>\n",
       "      <td>6.535567</td>\n",
       "      <td>-0.398512</td>\n",
       "      <td>0.078239</td>\n",
       "      <td>-1.076818</td>\n",
       "      <td>0.067271</td>\n",
       "      <td>-0.244071</td>\n",
       "      <td>0.317563</td>\n",
       "      <td>-0.001395</td>\n",
       "      <td>0.375854</td>\n",
       "      <td>-0.561940</td>\n",
       "      <td>0.062337</td>\n",
       "      <td>-0.370203</td>\n",
       "      <td>0.342581</td>\n",
       "      <td>0.253067</td>\n",
       "      <td>0.023170</td>\n",
       "      <td>153</td>\n",
       "      <td>153</td>\n",
       "      <td>153</td>\n",
       "      <td>0</td>\n",
       "      <td>3.020042</td>\n",
       "      <td>205.44566</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>228.620440</td>\n",
       "      <td>1.534494</td>\n",
       "      <td>0.011442</td>\n",
       "      <td>-0.067982</td>\n",
       "      <td>17</td>\n",
       "      <td>11</td>\n",
       "      <td>0.047806</td>\n",
       "      <td>0</td>\n",
       "      <td>17</td>\n",
       "      <td>False</td>\n",
       "      <td>152</td>\n",
       "      <td>5.865498e+06</td>\n",
       "      <td>8.638276e+04</td>\n",
       "      <td>67.901250</td>\n",
       "      <td>8.767604</td>\n",
       "      <td>16</td>\n",
       "      <td>2.589937e+06</td>\n",
       "      <td>1.489519e+05</td>\n",
       "      <td>17.387747</td>\n",
       "      <td>9.318165</td>\n",
       "      <td>17</td>\n",
       "      <td>5.120551e+06</td>\n",
       "      <td>1.856810e+05</td>\n",
       "      <td>27.577137</td>\n",
       "      <td>7.988628</td>\n",
       "      <td>1.314550</td>\n",
       "      <td>0</td>\n",
       "      <td>1.329536</td>\n",
       "      <td>0.550561</td>\n",
       "      <td>0.778976</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>199.766223</td>\n",
       "      <td>-4.417909</td>\n",
       "      <td>92.849479</td>\n",
       "      <td>-13.799033</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4754.2400</td>\n",
       "      <td>4326.0000</td>\n",
       "      <td>5000.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>62.799377</td>\n",
       "      <td>56.777670</td>\n",
       "      <td>75.848076</td>\n",
       "      <td>1815.222500</td>\n",
       "      <td>1447.90590</td>\n",
       "      <td>2182.539000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>355</td>\n",
       "      <td>GQ Ori</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.9353</td>\n",
       "      <td>7.068</td>\n",
       "      <td>6.650</td>\n",
       "      <td>6.503</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.81</td>\n",
       "      <td>0.05</td>\n",
       "      <td>10129</td>\n",
       "      <td>453</td>\n",
       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
       "      <td>92.80659</td>\n",
       "      <td>9.61251</td>\n",
       "      <td>0.068071</td>\n",
       "      <td>V* GQ Ori</td>\n",
       "      <td>92.806596</td>\n",
       "      <td>9.612496</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>67</td>\n",
       "      <td>06 11 13.58301</td>\n",
       "      <td>+09 36 44.9862</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>*  |IR |cC*|V* |V*?</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>B</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3873</td>\n",
       "      <td>-0.40</td>\n",
       "      <td>-1.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.810</td>\n",
       "      <td>8.880</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.090</td>\n",
       "      <td>6.746</td>\n",
       "      <td>6.611</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.017797</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>3329849043206545920</td>\n",
       "      <td>8.614877</td>\n",
       "      <td>0.000252</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1699.575991</td>\n",
       "      <td>0.000356</td>\n",
       "      <td>1697.362469</td>\n",
       "      <td>0.000356</td>\n",
       "      <td>1697.731721</td>\n",
       "      <td>0.000356</td>\n",
       "      <td>8.671568</td>\n",
       "      <td>0.000413</td>\n",
       "      <td>9.240516</td>\n",
       "      <td>0.004037</td>\n",
       "      <td>7.990393</td>\n",
       "      <td>0.001624</td>\n",
       "      <td>0.503929</td>\n",
       "      <td>0.000823</td>\n",
       "      <td>0.642827</td>\n",
       "      <td>0.011434</td>\n",
       "      <td>0.442250</td>\n",
       "      <td>0.003762</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.125721</td>\n",
       "      <td>0.003152</td>\n",
       "      <td>0.222187</td>\n",
       "      <td>0.003059</td>\n",
       "      <td>5.582238</td>\n",
       "      <td>0.041324</td>\n",
       "      <td>4.058892</td>\n",
       "      <td>0.048887</td>\n",
       "      <td>17</td>\n",
       "      <td>14</td>\n",
       "      <td>16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>166</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3344297935963515008</td>\n",
       "      <td>3344297935963515008</td>\n",
       "      <td>1221528101</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>91.436350</td>\n",
       "      <td>0.037632</td>\n",
       "      <td>13.239989</td>\n",
       "      <td>0.036553</td>\n",
       "      <td>0.160262</td>\n",
       "      <td>0.043073</td>\n",
       "      <td>3.720674</td>\n",
       "      <td>0.695141</td>\n",
       "      <td>0.077786</td>\n",
       "      <td>0.316810</td>\n",
       "      <td>0.068742</td>\n",
       "      <td>0.072804</td>\n",
       "      <td>0.039218</td>\n",
       "      <td>-0.291569</td>\n",
       "      <td>0.072809</td>\n",
       "      <td>-0.432769</td>\n",
       "      <td>0.006676</td>\n",
       "      <td>-0.355962</td>\n",
       "      <td>0.122436</td>\n",
       "      <td>0.141402</td>\n",
       "      <td>0.126315</td>\n",
       "      <td>138</td>\n",
       "      <td>138</td>\n",
       "      <td>138</td>\n",
       "      <td>0</td>\n",
       "      <td>2.829171</td>\n",
       "      <td>183.85568</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>361.683260</td>\n",
       "      <td>1.435334</td>\n",
       "      <td>0.008973</td>\n",
       "      <td>0.085354</td>\n",
       "      <td>16</td>\n",
       "      <td>11</td>\n",
       "      <td>0.050703</td>\n",
       "      <td>0</td>\n",
       "      <td>16</td>\n",
       "      <td>False</td>\n",
       "      <td>139</td>\n",
       "      <td>3.112963e+05</td>\n",
       "      <td>3.717497e+03</td>\n",
       "      <td>83.738140</td>\n",
       "      <td>11.955431</td>\n",
       "      <td>14</td>\n",
       "      <td>1.169849e+05</td>\n",
       "      <td>6.682782e+03</td>\n",
       "      <td>17.505417</td>\n",
       "      <td>12.681064</td>\n",
       "      <td>14</td>\n",
       "      <td>3.076915e+05</td>\n",
       "      <td>1.100444e+04</td>\n",
       "      <td>27.960676</td>\n",
       "      <td>11.041632</td>\n",
       "      <td>1.364219</td>\n",
       "      <td>0</td>\n",
       "      <td>1.639432</td>\n",
       "      <td>0.725633</td>\n",
       "      <td>0.913799</td>\n",
       "      <td>35.444354</td>\n",
       "      <td>8.450403</td>\n",
       "      <td>5</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>195.930066</td>\n",
       "      <td>-3.850050</td>\n",
       "      <td>91.420600</td>\n",
       "      <td>-10.192209</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4845.5947</td>\n",
       "      <td>4249.0000</td>\n",
       "      <td>6020.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>252</td>\n",
       "      <td>CR Ori</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6911</td>\n",
       "      <td>9.705</td>\n",
       "      <td>9.294</td>\n",
       "      <td>9.114</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.59</td>\n",
       "      <td>0.06</td>\n",
       "      <td>13023</td>\n",
       "      <td>474</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>91.43633</td>\n",
       "      <td>13.24000</td>\n",
       "      <td>0.080576</td>\n",
       "      <td>V* CR Ori</td>\n",
       "      <td>91.436347</td>\n",
       "      <td>13.239988</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>37</td>\n",
       "      <td>06 05 44.72333</td>\n",
       "      <td>+13 14 23.9570</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>40.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1603</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.32</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.970</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.719</td>\n",
       "      <td>9.278</td>\n",
       "      <td>9.094</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.011841</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>3344297935963515008</td>\n",
       "      <td>4.909584</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1703.860217</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>1703.588019</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>1703.627467</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>11.890348</td>\n",
       "      <td>0.000149</td>\n",
       "      <td>12.638213</td>\n",
       "      <td>0.001387</td>\n",
       "      <td>11.031163</td>\n",
       "      <td>0.000776</td>\n",
       "      <td>0.479826</td>\n",
       "      <td>0.000509</td>\n",
       "      <td>0.672012</td>\n",
       "      <td>0.003101</td>\n",
       "      <td>0.438886</td>\n",
       "      <td>0.001648</td>\n",
       "      <td>0.170583</td>\n",
       "      <td>0.225015</td>\n",
       "      <td>0.350593</td>\n",
       "      <td>0.001297</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.646178</td>\n",
       "      <td>0.002505</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15</td>\n",
       "      <td>13</td>\n",
       "      <td>13</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>167</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3351921532976862336</td>\n",
       "      <td>3351921532976862336</td>\n",
       "      <td>518256317</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>100.156509</td>\n",
       "      <td>0.035457</td>\n",
       "      <td>11.727479</td>\n",
       "      <td>0.034570</td>\n",
       "      <td>0.258321</td>\n",
       "      <td>0.041413</td>\n",
       "      <td>6.237648</td>\n",
       "      <td>-0.706862</td>\n",
       "      <td>0.068245</td>\n",
       "      <td>-0.143610</td>\n",
       "      <td>0.059981</td>\n",
       "      <td>-0.236816</td>\n",
       "      <td>0.199900</td>\n",
       "      <td>-0.078904</td>\n",
       "      <td>0.247208</td>\n",
       "      <td>-0.419339</td>\n",
       "      <td>0.143258</td>\n",
       "      <td>-0.254118</td>\n",
       "      <td>0.160612</td>\n",
       "      <td>0.093142</td>\n",
       "      <td>-0.133403</td>\n",
       "      <td>161</td>\n",
       "      <td>161</td>\n",
       "      <td>160</td>\n",
       "      <td>1</td>\n",
       "      <td>5.166569</td>\n",
       "      <td>263.97100</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>322.304870</td>\n",
       "      <td>1.403726</td>\n",
       "      <td>0.008443</td>\n",
       "      <td>-0.108388</td>\n",
       "      <td>18</td>\n",
       "      <td>11</td>\n",
       "      <td>0.045132</td>\n",
       "      <td>0</td>\n",
       "      <td>18</td>\n",
       "      <td>False</td>\n",
       "      <td>161</td>\n",
       "      <td>3.469221e+05</td>\n",
       "      <td>2.754136e+03</td>\n",
       "      <td>125.964020</td>\n",
       "      <td>11.837786</td>\n",
       "      <td>17</td>\n",
       "      <td>1.095781e+05</td>\n",
       "      <td>3.690425e+03</td>\n",
       "      <td>29.692558</td>\n",
       "      <td>12.752078</td>\n",
       "      <td>16</td>\n",
       "      <td>3.661449e+05</td>\n",
       "      <td>8.210862e+03</td>\n",
       "      <td>44.592750</td>\n",
       "      <td>10.852787</td>\n",
       "      <td>1.371268</td>\n",
       "      <td>0</td>\n",
       "      <td>1.899291</td>\n",
       "      <td>0.914292</td>\n",
       "      <td>0.984999</td>\n",
       "      <td>72.318294</td>\n",
       "      <td>7.699745</td>\n",
       "      <td>4</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>201.265111</td>\n",
       "      <td>2.957069</td>\n",
       "      <td>100.142904</td>\n",
       "      <td>-11.354909</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3837.0000</td>\n",
       "      <td>3783.0000</td>\n",
       "      <td>3945.2168</td>\n",
       "      <td>0.5740</td>\n",
       "      <td>0.1265</td>\n",
       "      <td>1.1216</td>\n",
       "      <td>0.2290</td>\n",
       "      <td>0.0386</td>\n",
       "      <td>0.4797</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>44.222920</td>\n",
       "      <td>41.830135</td>\n",
       "      <td>45.494442</td>\n",
       "      <td>381.906220</td>\n",
       "      <td>293.25660</td>\n",
       "      <td>470.555850</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>244</td>\n",
       "      <td>V911 Mon</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6971</td>\n",
       "      <td>9.481</td>\n",
       "      <td>8.932</td>\n",
       "      <td>8.694</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.05</td>\n",
       "      <td>0.07</td>\n",
       "      <td>11822</td>\n",
       "      <td>464</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>100.15650</td>\n",
       "      <td>11.72747</td>\n",
       "      <td>0.043634</td>\n",
       "      <td>V* V911 Mon</td>\n",
       "      <td>100.156512</td>\n",
       "      <td>11.727479</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>8</td>\n",
       "      <td>06 40 37.56280</td>\n",
       "      <td>+11 43 38.9257</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>*  |IR |V* |cC*</td>\n",
       "      <td>72.320</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2583</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.000</td>\n",
       "      <td>12.150</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.600</td>\n",
       "      <td>9.030</td>\n",
       "      <td>8.789</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.011180</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>3351921532976862336</td>\n",
       "      <td>4.978533</td>\n",
       "      <td>0.000029</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1706.890213</td>\n",
       "      <td>0.000041</td>\n",
       "      <td>1706.941087</td>\n",
       "      <td>0.000041</td>\n",
       "      <td>1707.011003</td>\n",
       "      <td>0.000041</td>\n",
       "      <td>11.771139</td>\n",
       "      <td>0.000150</td>\n",
       "      <td>12.685956</td>\n",
       "      <td>0.002021</td>\n",
       "      <td>10.823236</td>\n",
       "      <td>0.000743</td>\n",
       "      <td>0.415142</td>\n",
       "      <td>0.000569</td>\n",
       "      <td>0.572539</td>\n",
       "      <td>0.006795</td>\n",
       "      <td>0.341349</td>\n",
       "      <td>0.002577</td>\n",
       "      <td>0.185650</td>\n",
       "      <td>0.225043</td>\n",
       "      <td>0.346196</td>\n",
       "      <td>0.001668</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.870482</td>\n",
       "      <td>0.004930</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>18</td>\n",
       "      <td>15</td>\n",
       "      <td>12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>168</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3398383973788673024</td>\n",
       "      <td>3398383973788673024</td>\n",
       "      <td>904134089</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>86.418875</td>\n",
       "      <td>0.044117</td>\n",
       "      <td>18.656884</td>\n",
       "      <td>0.038853</td>\n",
       "      <td>0.805196</td>\n",
       "      <td>0.052640</td>\n",
       "      <td>15.296192</td>\n",
       "      <td>1.214523</td>\n",
       "      <td>0.084960</td>\n",
       "      <td>-2.513263</td>\n",
       "      <td>0.068069</td>\n",
       "      <td>-0.133196</td>\n",
       "      <td>0.166422</td>\n",
       "      <td>-0.210315</td>\n",
       "      <td>0.181357</td>\n",
       "      <td>-0.383018</td>\n",
       "      <td>0.069943</td>\n",
       "      <td>-0.452406</td>\n",
       "      <td>0.199538</td>\n",
       "      <td>0.310043</td>\n",
       "      <td>-0.131752</td>\n",
       "      <td>156</td>\n",
       "      <td>156</td>\n",
       "      <td>155</td>\n",
       "      <td>1</td>\n",
       "      <td>2.017689</td>\n",
       "      <td>186.95854</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>84.326416</td>\n",
       "      <td>1.579498</td>\n",
       "      <td>0.011246</td>\n",
       "      <td>-0.013127</td>\n",
       "      <td>18</td>\n",
       "      <td>11</td>\n",
       "      <td>0.052225</td>\n",
       "      <td>0</td>\n",
       "      <td>19</td>\n",
       "      <td>False</td>\n",
       "      <td>155</td>\n",
       "      <td>1.316614e+07</td>\n",
       "      <td>9.917384e+04</td>\n",
       "      <td>132.758210</td>\n",
       "      <td>7.889720</td>\n",
       "      <td>18</td>\n",
       "      <td>6.327474e+06</td>\n",
       "      <td>1.750526e+05</td>\n",
       "      <td>36.146130</td>\n",
       "      <td>8.348312</td>\n",
       "      <td>18</td>\n",
       "      <td>9.101609e+06</td>\n",
       "      <td>1.631506e+05</td>\n",
       "      <td>55.786556</td>\n",
       "      <td>7.364125</td>\n",
       "      <td>1.171876</td>\n",
       "      <td>0</td>\n",
       "      <td>0.984188</td>\n",
       "      <td>0.458593</td>\n",
       "      <td>0.525595</td>\n",
       "      <td>-3.672116</td>\n",
       "      <td>2.742844</td>\n",
       "      <td>9</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>188.806096</td>\n",
       "      <td>-5.323559</td>\n",
       "      <td>86.595643</td>\n",
       "      <td>-4.740087</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5350.0000</td>\n",
       "      <td>5210.5000</td>\n",
       "      <td>5629.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>33.621810</td>\n",
       "      <td>30.371494</td>\n",
       "      <td>35.446213</td>\n",
       "      <td>834.357240</td>\n",
       "      <td>760.10140</td>\n",
       "      <td>908.613100</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>335</td>\n",
       "      <td>EU Tau</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.3227</td>\n",
       "      <td>6.691</td>\n",
       "      <td>6.360</td>\n",
       "      <td>6.254</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.30</td>\n",
       "      <td>0.09</td>\n",
       "      <td>9073</td>\n",
       "      <td>454</td>\n",
       "      <td>c*</td>\n",
       "      <td>ROM</td>\n",
       "      <td>86.41887</td>\n",
       "      <td>18.65690</td>\n",
       "      <td>0.061146</td>\n",
       "      <td>V* EU Tau</td>\n",
       "      <td>86.418870</td>\n",
       "      <td>18.656895</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>96</td>\n",
       "      <td>05 45 40.52879</td>\n",
       "      <td>+18 39 24.8207</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-2.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.8052</td>\n",
       "      <td>1.22</td>\n",
       "      <td>-2.51</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.710</td>\n",
       "      <td>8.080</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.691</td>\n",
       "      <td>6.360</td>\n",
       "      <td>6.254</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.043266</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>3398383973788673024</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.102399</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1709.944046</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>1709.891610</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>1709.891725</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>7.876558</td>\n",
       "      <td>0.000205</td>\n",
       "      <td>8.284633</td>\n",
       "      <td>0.000349</td>\n",
       "      <td>7.348044</td>\n",
       "      <td>0.000348</td>\n",
       "      <td>0.282429</td>\n",
       "      <td>0.000698</td>\n",
       "      <td>0.359310</td>\n",
       "      <td>0.001255</td>\n",
       "      <td>0.216687</td>\n",
       "      <td>0.001442</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.110178</td>\n",
       "      <td>0.003492</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.614260</td>\n",
       "      <td>0.029808</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>18</td>\n",
       "      <td>18</td>\n",
       "      <td>18</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>169</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3409635486731094400</td>\n",
       "      <td>3409635486731094400</td>\n",
       "      <td>661767399</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>69.311554</td>\n",
       "      <td>0.045549</td>\n",
       "      <td>18.543013</td>\n",
       "      <td>0.020443</td>\n",
       "      <td>1.428380</td>\n",
       "      <td>0.060568</td>\n",
       "      <td>23.583138</td>\n",
       "      <td>-4.607572</td>\n",
       "      <td>0.128644</td>\n",
       "      <td>-5.389905</td>\n",
       "      <td>0.054240</td>\n",
       "      <td>0.244504</td>\n",
       "      <td>-0.302815</td>\n",
       "      <td>-0.454651</td>\n",
       "      <td>0.100130</td>\n",
       "      <td>0.155675</td>\n",
       "      <td>0.206974</td>\n",
       "      <td>-0.423784</td>\n",
       "      <td>0.534557</td>\n",
       "      <td>0.046706</td>\n",
       "      <td>-0.157813</td>\n",
       "      <td>382</td>\n",
       "      <td>382</td>\n",
       "      <td>369</td>\n",
       "      <td>13</td>\n",
       "      <td>9.787754</td>\n",
       "      <td>696.07570</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>292.856380</td>\n",
       "      <td>1.524337</td>\n",
       "      <td>0.006784</td>\n",
       "      <td>0.015908</td>\n",
       "      <td>45</td>\n",
       "      <td>11</td>\n",
       "      <td>0.077208</td>\n",
       "      <td>0</td>\n",
       "      <td>51</td>\n",
       "      <td>False</td>\n",
       "      <td>411</td>\n",
       "      <td>5.848277e+07</td>\n",
       "      <td>3.263764e+05</td>\n",
       "      <td>179.188110</td>\n",
       "      <td>6.270796</td>\n",
       "      <td>43</td>\n",
       "      <td>2.685796e+07</td>\n",
       "      <td>3.843524e+05</td>\n",
       "      <td>69.878494</td>\n",
       "      <td>6.778706</td>\n",
       "      <td>45</td>\n",
       "      <td>4.610428e+07</td>\n",
       "      <td>4.456396e+05</td>\n",
       "      <td>103.456440</td>\n",
       "      <td>5.602567</td>\n",
       "      <td>1.247585</td>\n",
       "      <td>0</td>\n",
       "      <td>1.176139</td>\n",
       "      <td>0.507910</td>\n",
       "      <td>0.668229</td>\n",
       "      <td>3.524471</td>\n",
       "      <td>2.008522</td>\n",
       "      <td>18</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>179.485014</td>\n",
       "      <td>-18.741194</td>\n",
       "      <td>70.392750</td>\n",
       "      <td>-3.499118</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4897.2500</td>\n",
       "      <td>4875.0000</td>\n",
       "      <td>4921.8066</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>49.700510</td>\n",
       "      <td>49.205800</td>\n",
       "      <td>50.155220</td>\n",
       "      <td>1280.045700</td>\n",
       "      <td>1208.44360</td>\n",
       "      <td>1351.647700</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>336</td>\n",
       "      <td>SZ Tau</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.4981</td>\n",
       "      <td>4.779</td>\n",
       "      <td>4.422</td>\n",
       "      <td>4.298</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.93</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8518</td>\n",
       "      <td>452</td>\n",
       "      <td>b</td>\n",
       "      <td>ROM</td>\n",
       "      <td>69.31158</td>\n",
       "      <td>18.54303</td>\n",
       "      <td>0.109556</td>\n",
       "      <td>V* SZ Tau</td>\n",
       "      <td>69.311575</td>\n",
       "      <td>18.543036</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>276</td>\n",
       "      <td>04 37 14.77788</td>\n",
       "      <td>+18 32 34.9293</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>-1.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6.7:Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.4284</td>\n",
       "      <td>-4.61</td>\n",
       "      <td>-5.39</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.130</td>\n",
       "      <td>6.370</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.850</td>\n",
       "      <td>4.631</td>\n",
       "      <td>4.307</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.109909</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>3409635486731094400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.148354</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1705.570395</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1705.561542</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1705.605229</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>6.232531</td>\n",
       "      <td>0.000093</td>\n",
       "      <td>6.748013</td>\n",
       "      <td>0.000258</td>\n",
       "      <td>5.594133</td>\n",
       "      <td>0.000215</td>\n",
       "      <td>0.277840</td>\n",
       "      <td>0.000322</td>\n",
       "      <td>0.345164</td>\n",
       "      <td>0.001044</td>\n",
       "      <td>0.197687</td>\n",
       "      <td>0.000671</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.056548</td>\n",
       "      <td>0.001139</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.356126</td>\n",
       "      <td>0.023126</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>33</td>\n",
       "      <td>35</td>\n",
       "      <td>33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>170</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3441484760885586176</td>\n",
       "      <td>3441484760885586176</td>\n",
       "      <td>522670436</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>86.437150</td>\n",
       "      <td>0.036629</td>\n",
       "      <td>27.067899</td>\n",
       "      <td>0.033084</td>\n",
       "      <td>0.253450</td>\n",
       "      <td>0.040053</td>\n",
       "      <td>6.327799</td>\n",
       "      <td>-0.154885</td>\n",
       "      <td>0.073227</td>\n",
       "      <td>-1.398668</td>\n",
       "      <td>0.058765</td>\n",
       "      <td>-0.084993</td>\n",
       "      <td>0.004566</td>\n",
       "      <td>-0.365868</td>\n",
       "      <td>0.126083</td>\n",
       "      <td>-0.370025</td>\n",
       "      <td>0.051976</td>\n",
       "      <td>-0.520887</td>\n",
       "      <td>0.204175</td>\n",
       "      <td>0.284088</td>\n",
       "      <td>-0.069446</td>\n",
       "      <td>170</td>\n",
       "      <td>170</td>\n",
       "      <td>166</td>\n",
       "      <td>4</td>\n",
       "      <td>8.255808</td>\n",
       "      <td>358.09260</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>367.559630</td>\n",
       "      <td>1.391902</td>\n",
       "      <td>0.009285</td>\n",
       "      <td>-0.068376</td>\n",
       "      <td>19</td>\n",
       "      <td>11</td>\n",
       "      <td>0.048707</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "      <td>False</td>\n",
       "      <td>143</td>\n",
       "      <td>3.286354e+05</td>\n",
       "      <td>3.279370e+03</td>\n",
       "      <td>100.212960</td>\n",
       "      <td>11.896580</td>\n",
       "      <td>14</td>\n",
       "      <td>1.000728e+05</td>\n",
       "      <td>2.816203e+03</td>\n",
       "      <td>35.534670</td>\n",
       "      <td>12.850597</td>\n",
       "      <td>19</td>\n",
       "      <td>3.837936e+05</td>\n",
       "      <td>1.503559e+04</td>\n",
       "      <td>25.525679</td>\n",
       "      <td>10.801676</td>\n",
       "      <td>1.472350</td>\n",
       "      <td>0</td>\n",
       "      <td>2.048922</td>\n",
       "      <td>0.954018</td>\n",
       "      <td>1.094904</td>\n",
       "      <td>24.842289</td>\n",
       "      <td>7.976035</td>\n",
       "      <td>3</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>181.609710</td>\n",
       "      <td>-0.948855</td>\n",
       "      <td>86.821316</td>\n",
       "      <td>3.667923</td>\n",
       "      <td>102001.0</td>\n",
       "      <td>3730.7200</td>\n",
       "      <td>3571.0000</td>\n",
       "      <td>4302.9100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>48.122868</td>\n",
       "      <td>36.175310</td>\n",
       "      <td>52.523920</td>\n",
       "      <td>404.173950</td>\n",
       "      <td>310.74786</td>\n",
       "      <td>497.600040</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>363</td>\n",
       "      <td>AV Tau</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5582</td>\n",
       "      <td>9.196</td>\n",
       "      <td>8.648</td>\n",
       "      <td>8.405</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.03</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.29</td>\n",
       "      <td>0.05</td>\n",
       "      <td>10809</td>\n",
       "      <td>457</td>\n",
       "      <td>a</td>\n",
       "      <td>LEM</td>\n",
       "      <td>86.43712</td>\n",
       "      <td>27.06792</td>\n",
       "      <td>0.122021</td>\n",
       "      <td>V* AV Tau</td>\n",
       "      <td>86.437151</td>\n",
       "      <td>27.067905</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>30</td>\n",
       "      <td>05 45 44.91624</td>\n",
       "      <td>+27 04 04.4596</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>24.840</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2535</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>-1.40</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.224</td>\n",
       "      <td>8.588</td>\n",
       "      <td>8.397</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.021812</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>3441484760885586176</td>\n",
       "      <td>3.622803</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1704.351542</td>\n",
       "      <td>0.000029</td>\n",
       "      <td>1704.131920</td>\n",
       "      <td>0.000029</td>\n",
       "      <td>1704.299997</td>\n",
       "      <td>0.000029</td>\n",
       "      <td>11.672547</td>\n",
       "      <td>0.000524</td>\n",
       "      <td>12.559484</td>\n",
       "      <td>0.000508</td>\n",
       "      <td>10.705806</td>\n",
       "      <td>0.000195</td>\n",
       "      <td>0.592515</td>\n",
       "      <td>0.007774</td>\n",
       "      <td>0.781209</td>\n",
       "      <td>0.002062</td>\n",
       "      <td>0.474029</td>\n",
       "      <td>0.000708</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>19</td>\n",
       "      <td>18</td>\n",
       "      <td>18</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>171</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3445039825569144192</td>\n",
       "      <td>3445039825569144192</td>\n",
       "      <td>1191905332</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>86.711730</td>\n",
       "      <td>0.039471</td>\n",
       "      <td>31.597912</td>\n",
       "      <td>0.039708</td>\n",
       "      <td>0.148102</td>\n",
       "      <td>0.050816</td>\n",
       "      <td>2.914465</td>\n",
       "      <td>0.104240</td>\n",
       "      <td>0.078650</td>\n",
       "      <td>-1.616158</td>\n",
       "      <td>0.064086</td>\n",
       "      <td>0.117066</td>\n",
       "      <td>-0.117532</td>\n",
       "      <td>-0.397068</td>\n",
       "      <td>-0.033038</td>\n",
       "      <td>-0.580307</td>\n",
       "      <td>-0.168911</td>\n",
       "      <td>-0.615441</td>\n",
       "      <td>0.339137</td>\n",
       "      <td>0.465200</td>\n",
       "      <td>0.167560</td>\n",
       "      <td>168</td>\n",
       "      <td>168</td>\n",
       "      <td>167</td>\n",
       "      <td>1</td>\n",
       "      <td>3.082864</td>\n",
       "      <td>223.24216</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>364.884830</td>\n",
       "      <td>1.478125</td>\n",
       "      <td>0.009126</td>\n",
       "      <td>-0.009463</td>\n",
       "      <td>19</td>\n",
       "      <td>10</td>\n",
       "      <td>0.052526</td>\n",
       "      <td>0</td>\n",
       "      <td>19</td>\n",
       "      <td>False</td>\n",
       "      <td>168</td>\n",
       "      <td>3.274401e+05</td>\n",
       "      <td>3.338740e+03</td>\n",
       "      <td>98.072950</td>\n",
       "      <td>11.900536</td>\n",
       "      <td>18</td>\n",
       "      <td>1.299715e+05</td>\n",
       "      <td>5.499029e+03</td>\n",
       "      <td>23.635355</td>\n",
       "      <td>12.566768</td>\n",
       "      <td>18</td>\n",
       "      <td>2.933176e+05</td>\n",
       "      <td>7.566130e+03</td>\n",
       "      <td>38.767190</td>\n",
       "      <td>11.093575</td>\n",
       "      <td>1.292722</td>\n",
       "      <td>0</td>\n",
       "      <td>1.473193</td>\n",
       "      <td>0.666232</td>\n",
       "      <td>0.806961</td>\n",
       "      <td>18.839178</td>\n",
       "      <td>5.699615</td>\n",
       "      <td>8</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>177.863418</td>\n",
       "      <td>1.609728</td>\n",
       "      <td>87.170780</td>\n",
       "      <td>8.190919</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4408.0000</td>\n",
       "      <td>4352.7620</td>\n",
       "      <td>4500.3850</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>338</td>\n",
       "      <td>AX Aur</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.4838</td>\n",
       "      <td>9.929</td>\n",
       "      <td>9.491</td>\n",
       "      <td>9.283</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.02</td>\n",
       "      <td>0.05</td>\n",
       "      <td>11955</td>\n",
       "      <td>461</td>\n",
       "      <td>a</td>\n",
       "      <td>LEM</td>\n",
       "      <td>86.71175</td>\n",
       "      <td>31.59792</td>\n",
       "      <td>0.068336</td>\n",
       "      <td>V* AX Aur</td>\n",
       "      <td>86.711729</td>\n",
       "      <td>31.597919</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>30</td>\n",
       "      <td>05 46 50.81504</td>\n",
       "      <td>+31 35 52.5079</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>18.840</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1481</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-1.62</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.540</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.012</td>\n",
       "      <td>9.528</td>\n",
       "      <td>9.353</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.025103</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>3445039825569144192</td>\n",
       "      <td>3.782022</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1703.703487</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>1703.643341</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>1703.707904</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>11.885412</td>\n",
       "      <td>0.000094</td>\n",
       "      <td>12.551325</td>\n",
       "      <td>0.000314</td>\n",
       "      <td>11.087938</td>\n",
       "      <td>0.000216</td>\n",
       "      <td>0.345368</td>\n",
       "      <td>0.000352</td>\n",
       "      <td>0.477850</td>\n",
       "      <td>0.001575</td>\n",
       "      <td>0.281138</td>\n",
       "      <td>0.000980</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>18</td>\n",
       "      <td>17</td>\n",
       "      <td>17</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>172</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 3451987987438434944</td>\n",
       "      <td>3451987987438434944</td>\n",
       "      <td>1358155271</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>90.118771</td>\n",
       "      <td>0.042237</td>\n",
       "      <td>35.312160</td>\n",
       "      <td>0.040347</td>\n",
       "      <td>0.957081</td>\n",
       "      <td>0.049033</td>\n",
       "      <td>19.519045</td>\n",
       "      <td>-1.221831</td>\n",
       "      <td>0.082083</td>\n",
       "      <td>-5.320642</td>\n",
       "      <td>0.067218</td>\n",
       "      <td>-0.107411</td>\n",
       "      <td>0.167884</td>\n",
       "      <td>-0.362553</td>\n",
       "      <td>0.100114</td>\n",
       "      <td>-0.497240</td>\n",
       "      <td>-0.087257</td>\n",
       "      <td>-0.538706</td>\n",
       "      <td>0.265167</td>\n",
       "      <td>0.298625</td>\n",
       "      <td>0.097254</td>\n",
       "      <td>161</td>\n",
       "      <td>161</td>\n",
       "      <td>160</td>\n",
       "      <td>1</td>\n",
       "      <td>2.452355</td>\n",
       "      <td>201.51645</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>90.839424</td>\n",
       "      <td>1.582284</td>\n",
       "      <td>0.011261</td>\n",
       "      <td>-0.029151</td>\n",
       "      <td>18</td>\n",
       "      <td>11</td>\n",
       "      <td>0.052299</td>\n",
       "      <td>0</td>\n",
       "      <td>19</td>\n",
       "      <td>False</td>\n",
       "      <td>161</td>\n",
       "      <td>1.816428e+07</td>\n",
       "      <td>1.275694e+05</td>\n",
       "      <td>142.387440</td>\n",
       "      <td>7.540320</td>\n",
       "      <td>18</td>\n",
       "      <td>9.044666e+06</td>\n",
       "      <td>2.357404e+05</td>\n",
       "      <td>38.367054</td>\n",
       "      <td>7.960407</td>\n",
       "      <td>18</td>\n",
       "      <td>1.268428e+07</td>\n",
       "      <td>2.094022e+05</td>\n",
       "      <td>60.573760</td>\n",
       "      <td>7.003756</td>\n",
       "      <td>1.196246</td>\n",
       "      <td>0</td>\n",
       "      <td>0.956651</td>\n",
       "      <td>0.420086</td>\n",
       "      <td>0.536565</td>\n",
       "      <td>13.913278</td>\n",
       "      <td>4.262005</td>\n",
       "      <td>3</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>176.082364</td>\n",
       "      <td>5.935420</td>\n",
       "      <td>90.099050</td>\n",
       "      <td>11.872920</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5760.6665</td>\n",
       "      <td>5328.3335</td>\n",
       "      <td>6618.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>28.109089</td>\n",
       "      <td>21.297995</td>\n",
       "      <td>32.855602</td>\n",
       "      <td>783.933500</td>\n",
       "      <td>728.19090</td>\n",
       "      <td>839.676000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>23</td>\n",
       "      <td>CO Aur</td>\n",
       "      <td>CEP(B)</td>\n",
       "      <td>0.2514</td>\n",
       "      <td>6.314</td>\n",
       "      <td>6.004</td>\n",
       "      <td>5.873</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.97</td>\n",
       "      <td>0.13</td>\n",
       "      <td>8557</td>\n",
       "      <td>453</td>\n",
       "      <td>c*</td>\n",
       "      <td>LIII</td>\n",
       "      <td>90.11876</td>\n",
       "      <td>35.31217</td>\n",
       "      <td>0.048812</td>\n",
       "      <td>V* CO Aur</td>\n",
       "      <td>90.118777</td>\n",
       "      <td>35.312182</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>76</td>\n",
       "      <td>06 00 28.50648</td>\n",
       "      <td>+35 18 43.8568</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |*  |IR |Ce*</td>\n",
       "      <td>13.910</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.9571</td>\n",
       "      <td>-1.22</td>\n",
       "      <td>-5.32</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.340</td>\n",
       "      <td>7.730</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.314</td>\n",
       "      <td>6.004</td>\n",
       "      <td>5.873</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.084617</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>3451987987438434944</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.782988</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1708.203532</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>1708.299621</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>1708.250680</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>7.498623</td>\n",
       "      <td>0.000102</td>\n",
       "      <td>7.914416</td>\n",
       "      <td>0.000531</td>\n",
       "      <td>6.973904</td>\n",
       "      <td>0.000407</td>\n",
       "      <td>0.273853</td>\n",
       "      <td>0.000433</td>\n",
       "      <td>0.314298</td>\n",
       "      <td>0.001697</td>\n",
       "      <td>0.184083</td>\n",
       "      <td>0.001347</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>18</td>\n",
       "      <td>14</td>\n",
       "      <td>16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>173</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4054440301294394624</td>\n",
       "      <td>4054440301294394624</td>\n",
       "      <td>1483331605</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>262.701587</td>\n",
       "      <td>0.045060</td>\n",
       "      <td>-33.609918</td>\n",
       "      <td>0.037730</td>\n",
       "      <td>0.920392</td>\n",
       "      <td>0.046974</td>\n",
       "      <td>19.593626</td>\n",
       "      <td>0.315764</td>\n",
       "      <td>0.090928</td>\n",
       "      <td>-2.878529</td>\n",
       "      <td>0.062569</td>\n",
       "      <td>0.082358</td>\n",
       "      <td>0.021966</td>\n",
       "      <td>-0.454610</td>\n",
       "      <td>-0.201048</td>\n",
       "      <td>-0.316117</td>\n",
       "      <td>-0.148826</td>\n",
       "      <td>-0.501096</td>\n",
       "      <td>-0.249053</td>\n",
       "      <td>0.245700</td>\n",
       "      <td>-0.013355</td>\n",
       "      <td>160</td>\n",
       "      <td>160</td>\n",
       "      <td>158</td>\n",
       "      <td>2</td>\n",
       "      <td>-0.228245</td>\n",
       "      <td>148.38782</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>89.348480</td>\n",
       "      <td>1.499457</td>\n",
       "      <td>0.009624</td>\n",
       "      <td>-0.011789</td>\n",
       "      <td>18</td>\n",
       "      <td>10</td>\n",
       "      <td>0.058405</td>\n",
       "      <td>0</td>\n",
       "      <td>19</td>\n",
       "      <td>False</td>\n",
       "      <td>160</td>\n",
       "      <td>1.690865e+07</td>\n",
       "      <td>1.751758e+05</td>\n",
       "      <td>96.523880</td>\n",
       "      <td>7.618093</td>\n",
       "      <td>17</td>\n",
       "      <td>7.042741e+06</td>\n",
       "      <td>3.068437e+05</td>\n",
       "      <td>22.952213</td>\n",
       "      <td>8.232034</td>\n",
       "      <td>18</td>\n",
       "      <td>1.366567e+07</td>\n",
       "      <td>2.556534e+05</td>\n",
       "      <td>53.453907</td>\n",
       "      <td>6.922843</td>\n",
       "      <td>1.224723</td>\n",
       "      <td>0</td>\n",
       "      <td>1.309191</td>\n",
       "      <td>0.613940</td>\n",
       "      <td>0.695251</td>\n",
       "      <td>13.344258</td>\n",
       "      <td>3.445940</td>\n",
       "      <td>10</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>354.359028</td>\n",
       "      <td>0.173152</td>\n",
       "      <td>263.826380</td>\n",
       "      <td>-10.326913</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5159.0234</td>\n",
       "      <td>4672.5000</td>\n",
       "      <td>6129.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>36.365597</td>\n",
       "      <td>25.765968</td>\n",
       "      <td>44.332996</td>\n",
       "      <td>844.007140</td>\n",
       "      <td>783.20220</td>\n",
       "      <td>904.812100</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>275</td>\n",
       "      <td>V482 Sco</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6559</td>\n",
       "      <td>5.976</td>\n",
       "      <td>5.591</td>\n",
       "      <td>5.438</td>\n",
       "      <td>0.20</td>\n",
       "      <td>0.17</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.83</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7021</td>\n",
       "      <td>452</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>262.70159</td>\n",
       "      <td>-33.60990</td>\n",
       "      <td>0.064318</td>\n",
       "      <td>V* V482 Sco</td>\n",
       "      <td>262.701585</td>\n",
       "      <td>-33.609905</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>136</td>\n",
       "      <td>17 30 48.38040</td>\n",
       "      <td>-33 36 35.6589</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>13.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8/G0II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.9204</td>\n",
       "      <td>0.22</td>\n",
       "      <td>-2.87</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.780</td>\n",
       "      <td>7.910</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.070</td>\n",
       "      <td>5.654</td>\n",
       "      <td>5.453</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.044885</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4054440301294394624</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.508826</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1742.499568</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>1742.475883</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>1742.285155</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>7.546093</td>\n",
       "      <td>0.000174</td>\n",
       "      <td>8.140296</td>\n",
       "      <td>0.010884</td>\n",
       "      <td>6.915551</td>\n",
       "      <td>0.001026</td>\n",
       "      <td>0.369689</td>\n",
       "      <td>0.000459</td>\n",
       "      <td>0.464892</td>\n",
       "      <td>0.002948</td>\n",
       "      <td>0.229044</td>\n",
       "      <td>0.001207</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>18</td>\n",
       "      <td>16</td>\n",
       "      <td>17</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>174</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4066429066901946368</td>\n",
       "      <td>4066429066901946368</td>\n",
       "      <td>342026024</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>273.260403</td>\n",
       "      <td>0.093208</td>\n",
       "      <td>-23.117294</td>\n",
       "      <td>0.084258</td>\n",
       "      <td>1.119032</td>\n",
       "      <td>0.052685</td>\n",
       "      <td>21.240217</td>\n",
       "      <td>0.886391</td>\n",
       "      <td>0.156186</td>\n",
       "      <td>-3.758782</td>\n",
       "      <td>0.129833</td>\n",
       "      <td>0.868880</td>\n",
       "      <td>0.319819</td>\n",
       "      <td>-0.829842</td>\n",
       "      <td>-0.842656</td>\n",
       "      <td>0.198030</td>\n",
       "      <td>-0.801089</td>\n",
       "      <td>-0.864686</td>\n",
       "      <td>-0.486790</td>\n",
       "      <td>-0.258983</td>\n",
       "      <td>0.814648</td>\n",
       "      <td>151</td>\n",
       "      <td>151</td>\n",
       "      <td>150</td>\n",
       "      <td>1</td>\n",
       "      <td>4.897588</td>\n",
       "      <td>244.47020</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>174.717710</td>\n",
       "      <td>1.540811</td>\n",
       "      <td>0.012354</td>\n",
       "      <td>0.347875</td>\n",
       "      <td>17</td>\n",
       "      <td>9</td>\n",
       "      <td>0.138698</td>\n",
       "      <td>0</td>\n",
       "      <td>24</td>\n",
       "      <td>False</td>\n",
       "      <td>160</td>\n",
       "      <td>3.343587e+07</td>\n",
       "      <td>3.879229e+05</td>\n",
       "      <td>86.192050</td>\n",
       "      <td>6.877834</td>\n",
       "      <td>15</td>\n",
       "      <td>1.430914e+07</td>\n",
       "      <td>5.569032e+05</td>\n",
       "      <td>25.694124</td>\n",
       "      <td>7.462355</td>\n",
       "      <td>16</td>\n",
       "      <td>2.560230e+07</td>\n",
       "      <td>7.042575e+05</td>\n",
       "      <td>36.353615</td>\n",
       "      <td>6.241222</td>\n",
       "      <td>1.193671</td>\n",
       "      <td>0</td>\n",
       "      <td>1.221132</td>\n",
       "      <td>0.584520</td>\n",
       "      <td>0.636612</td>\n",
       "      <td>-5.977424</td>\n",
       "      <td>8.026530</td>\n",
       "      <td>6</td>\n",
       "      <td>5250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>8.114163</td>\n",
       "      <td>-2.437789</td>\n",
       "      <td>272.998405</td>\n",
       "      <td>0.288058</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4730.0000</td>\n",
       "      <td>4654.0000</td>\n",
       "      <td>4815.1860</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>52.619335</td>\n",
       "      <td>50.774014</td>\n",
       "      <td>54.351917</td>\n",
       "      <td>1248.619100</td>\n",
       "      <td>1167.59110</td>\n",
       "      <td>1329.647200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>293</td>\n",
       "      <td>AP Sgr</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7040</td>\n",
       "      <td>5.347</td>\n",
       "      <td>5.012</td>\n",
       "      <td>4.883</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.49</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7160</td>\n",
       "      <td>452</td>\n",
       "      <td>b</td>\n",
       "      <td>LII</td>\n",
       "      <td>273.26040</td>\n",
       "      <td>-23.11728</td>\n",
       "      <td>0.052143</td>\n",
       "      <td>*  12 Sgr</td>\n",
       "      <td>273.260399</td>\n",
       "      <td>-23.117278</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>162</td>\n",
       "      <td>18 13 02.49577</td>\n",
       "      <td>-23 07 02.2008</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>** |V* |cC*|*  |IR</td>\n",
       "      <td>-18.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7/8Ib/II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.1190</td>\n",
       "      <td>0.89</td>\n",
       "      <td>-3.76</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.480</td>\n",
       "      <td>6.590</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.266</td>\n",
       "      <td>4.980</td>\n",
       "      <td>4.781</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.059859</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4066429066901946368</td>\n",
       "      <td>2.789409</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1742.004679</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>1708.619495</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>1708.562862</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>6.819941</td>\n",
       "      <td>0.000181</td>\n",
       "      <td>7.367004</td>\n",
       "      <td>0.000534</td>\n",
       "      <td>6.230906</td>\n",
       "      <td>0.000417</td>\n",
       "      <td>0.514234</td>\n",
       "      <td>0.000592</td>\n",
       "      <td>0.553702</td>\n",
       "      <td>0.001808</td>\n",
       "      <td>0.346663</td>\n",
       "      <td>0.001294</td>\n",
       "      <td>-0.322702</td>\n",
       "      <td>0.219827</td>\n",
       "      <td>0.491346</td>\n",
       "      <td>0.001903</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.097986</td>\n",
       "      <td>0.002570</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15</td>\n",
       "      <td>14</td>\n",
       "      <td>15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>175</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4080122796947250176</td>\n",
       "      <td>4080122796947250176</td>\n",
       "      <td>1083813113</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>281.322900</td>\n",
       "      <td>0.047327</td>\n",
       "      <td>-20.647394</td>\n",
       "      <td>0.046506</td>\n",
       "      <td>0.985906</td>\n",
       "      <td>0.047238</td>\n",
       "      <td>20.871054</td>\n",
       "      <td>-0.277034</td>\n",
       "      <td>0.084209</td>\n",
       "      <td>-3.003036</td>\n",
       "      <td>0.074312</td>\n",
       "      <td>0.490582</td>\n",
       "      <td>-0.090673</td>\n",
       "      <td>-0.456344</td>\n",
       "      <td>-0.465149</td>\n",
       "      <td>-0.310522</td>\n",
       "      <td>-0.316285</td>\n",
       "      <td>-0.589274</td>\n",
       "      <td>-0.290148</td>\n",
       "      <td>0.054784</td>\n",
       "      <td>0.313523</td>\n",
       "      <td>165</td>\n",
       "      <td>165</td>\n",
       "      <td>163</td>\n",
       "      <td>2</td>\n",
       "      <td>1.409752</td>\n",
       "      <td>183.67055</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>114.273964</td>\n",
       "      <td>1.491184</td>\n",
       "      <td>0.009397</td>\n",
       "      <td>0.173071</td>\n",
       "      <td>19</td>\n",
       "      <td>11</td>\n",
       "      <td>0.063020</td>\n",
       "      <td>0</td>\n",
       "      <td>25</td>\n",
       "      <td>False</td>\n",
       "      <td>183</td>\n",
       "      <td>2.324845e+07</td>\n",
       "      <td>2.367790e+05</td>\n",
       "      <td>98.186290</td>\n",
       "      <td>7.272381</td>\n",
       "      <td>20</td>\n",
       "      <td>9.949220e+06</td>\n",
       "      <td>4.127846e+05</td>\n",
       "      <td>24.102695</td>\n",
       "      <td>7.856915</td>\n",
       "      <td>21</td>\n",
       "      <td>1.848780e+07</td>\n",
       "      <td>5.027952e+05</td>\n",
       "      <td>36.770042</td>\n",
       "      <td>6.594707</td>\n",
       "      <td>1.223179</td>\n",
       "      <td>0</td>\n",
       "      <td>1.262208</td>\n",
       "      <td>0.584535</td>\n",
       "      <td>0.677674</td>\n",
       "      <td>14.871642</td>\n",
       "      <td>3.980214</td>\n",
       "      <td>9</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>13.758472</td>\n",
       "      <td>-7.958443</td>\n",
       "      <td>280.596149</td>\n",
       "      <td>2.376358</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4720.0000</td>\n",
       "      <td>4630.0000</td>\n",
       "      <td>4822.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>50.089706</td>\n",
       "      <td>47.993020</td>\n",
       "      <td>52.055965</td>\n",
       "      <td>1121.914300</td>\n",
       "      <td>1046.07080</td>\n",
       "      <td>1197.757800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>296</td>\n",
       "      <td>V350 Sgr</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7122</td>\n",
       "      <td>5.641</td>\n",
       "      <td>5.279</td>\n",
       "      <td>5.133</td>\n",
       "      <td>0.18</td>\n",
       "      <td>0.24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.73</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7092</td>\n",
       "      <td>452</td>\n",
       "      <td>b</td>\n",
       "      <td>LII</td>\n",
       "      <td>281.32291</td>\n",
       "      <td>-20.64738</td>\n",
       "      <td>0.061332</td>\n",
       "      <td>V* V350 Sgr</td>\n",
       "      <td>281.322901</td>\n",
       "      <td>-20.647381</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>181</td>\n",
       "      <td>18 45 17.49620</td>\n",
       "      <td>-20 38 50.5717</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*  |SB*</td>\n",
       "      <td>11.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8Ib/II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.9859</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-3.00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.330</td>\n",
       "      <td>7.470</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.694</td>\n",
       "      <td>5.273</td>\n",
       "      <td>5.122</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.046745</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4080122796947250176</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.852066</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1711.602476</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>1711.542360</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>1711.582289</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>7.251237</td>\n",
       "      <td>0.000214</td>\n",
       "      <td>7.828172</td>\n",
       "      <td>0.000739</td>\n",
       "      <td>6.584583</td>\n",
       "      <td>0.000492</td>\n",
       "      <td>0.398445</td>\n",
       "      <td>0.000640</td>\n",
       "      <td>0.503183</td>\n",
       "      <td>0.002069</td>\n",
       "      <td>0.363001</td>\n",
       "      <td>0.001303</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>19</td>\n",
       "      <td>17</td>\n",
       "      <td>19</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>176</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4085919765884068736</td>\n",
       "      <td>4085919765884068736</td>\n",
       "      <td>1449012947</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>282.749472</td>\n",
       "      <td>0.049049</td>\n",
       "      <td>-20.295252</td>\n",
       "      <td>0.047469</td>\n",
       "      <td>1.248455</td>\n",
       "      <td>0.041093</td>\n",
       "      <td>30.381370</td>\n",
       "      <td>0.305106</td>\n",
       "      <td>0.098171</td>\n",
       "      <td>-5.139698</td>\n",
       "      <td>0.094110</td>\n",
       "      <td>0.571233</td>\n",
       "      <td>0.164916</td>\n",
       "      <td>-0.595523</td>\n",
       "      <td>-0.508365</td>\n",
       "      <td>-0.019388</td>\n",
       "      <td>-0.477728</td>\n",
       "      <td>-0.650906</td>\n",
       "      <td>-0.300364</td>\n",
       "      <td>-0.032167</td>\n",
       "      <td>0.550380</td>\n",
       "      <td>141</td>\n",
       "      <td>141</td>\n",
       "      <td>138</td>\n",
       "      <td>3</td>\n",
       "      <td>8.575284</td>\n",
       "      <td>326.39584</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>191.667330</td>\n",
       "      <td>1.507241</td>\n",
       "      <td>0.011950</td>\n",
       "      <td>0.232252</td>\n",
       "      <td>16</td>\n",
       "      <td>10</td>\n",
       "      <td>0.083271</td>\n",
       "      <td>0</td>\n",
       "      <td>23</td>\n",
       "      <td>False</td>\n",
       "      <td>166</td>\n",
       "      <td>4.343274e+07</td>\n",
       "      <td>3.609619e+05</td>\n",
       "      <td>120.325010</td>\n",
       "      <td>6.593823</td>\n",
       "      <td>16</td>\n",
       "      <td>1.692417e+07</td>\n",
       "      <td>6.225806e+05</td>\n",
       "      <td>27.183895</td>\n",
       "      <td>7.280120</td>\n",
       "      <td>18</td>\n",
       "      <td>3.423093e+07</td>\n",
       "      <td>7.768923e+05</td>\n",
       "      <td>44.061363</td>\n",
       "      <td>5.925873</td>\n",
       "      <td>1.177800</td>\n",
       "      <td>0</td>\n",
       "      <td>1.354247</td>\n",
       "      <td>0.686297</td>\n",
       "      <td>0.667949</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>14.668573</td>\n",
       "      <td>-9.007219</td>\n",
       "      <td>281.958540</td>\n",
       "      <td>2.616319</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4419.2500</td>\n",
       "      <td>4360.0000</td>\n",
       "      <td>4537.5950</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>65.211880</td>\n",
       "      <td>61.854656</td>\n",
       "      <td>66.996315</td>\n",
       "      <td>1461.310500</td>\n",
       "      <td>1390.50150</td>\n",
       "      <td>1532.119600</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>294</td>\n",
       "      <td>BB Sgr</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8220</td>\n",
       "      <td>5.044</td>\n",
       "      <td>4.653</td>\n",
       "      <td>4.500</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.44</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7203</td>\n",
       "      <td>452</td>\n",
       "      <td>b</td>\n",
       "      <td>LII</td>\n",
       "      <td>282.74947</td>\n",
       "      <td>-20.29523</td>\n",
       "      <td>0.080404</td>\n",
       "      <td>V* BB Sgr</td>\n",
       "      <td>282.749471</td>\n",
       "      <td>-20.295230</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>221</td>\n",
       "      <td>18 50 59.87305</td>\n",
       "      <td>-20 17 42.8283</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>6.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.2485</td>\n",
       "      <td>0.31</td>\n",
       "      <td>-5.14</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.530</td>\n",
       "      <td>6.690</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.230</td>\n",
       "      <td>4.795</td>\n",
       "      <td>4.572</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.079806</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4085919765884068736</td>\n",
       "      <td>5.191731</td>\n",
       "      <td>0.000052</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1706.974571</td>\n",
       "      <td>0.000073</td>\n",
       "      <td>1706.569174</td>\n",
       "      <td>0.000073</td>\n",
       "      <td>1706.679513</td>\n",
       "      <td>0.000073</td>\n",
       "      <td>6.629171</td>\n",
       "      <td>0.000272</td>\n",
       "      <td>7.214079</td>\n",
       "      <td>0.000331</td>\n",
       "      <td>5.931249</td>\n",
       "      <td>0.000324</td>\n",
       "      <td>0.332563</td>\n",
       "      <td>0.000821</td>\n",
       "      <td>0.424869</td>\n",
       "      <td>0.001430</td>\n",
       "      <td>0.241353</td>\n",
       "      <td>0.001423</td>\n",
       "      <td>0.322423</td>\n",
       "      <td>0.233998</td>\n",
       "      <td>0.311911</td>\n",
       "      <td>0.003330</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.208801</td>\n",
       "      <td>0.014017</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>17</td>\n",
       "      <td>16</td>\n",
       "      <td>15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>177</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4092905375639902464</td>\n",
       "      <td>4092905375639902464</td>\n",
       "      <td>1643333351</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>277.972210</td>\n",
       "      <td>0.037587</td>\n",
       "      <td>-19.125099</td>\n",
       "      <td>0.035596</td>\n",
       "      <td>1.460081</td>\n",
       "      <td>0.044714</td>\n",
       "      <td>32.653430</td>\n",
       "      <td>-1.681381</td>\n",
       "      <td>0.073594</td>\n",
       "      <td>-6.030203</td>\n",
       "      <td>0.064971</td>\n",
       "      <td>0.151680</td>\n",
       "      <td>0.068110</td>\n",
       "      <td>-0.237842</td>\n",
       "      <td>-0.216226</td>\n",
       "      <td>-0.353252</td>\n",
       "      <td>-0.115594</td>\n",
       "      <td>-0.358894</td>\n",
       "      <td>-0.299005</td>\n",
       "      <td>0.239510</td>\n",
       "      <td>0.212224</td>\n",
       "      <td>178</td>\n",
       "      <td>178</td>\n",
       "      <td>175</td>\n",
       "      <td>3</td>\n",
       "      <td>6.272303</td>\n",
       "      <td>312.86377</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>244.458510</td>\n",
       "      <td>1.505092</td>\n",
       "      <td>0.011651</td>\n",
       "      <td>0.098069</td>\n",
       "      <td>20</td>\n",
       "      <td>11</td>\n",
       "      <td>0.049463</td>\n",
       "      <td>0</td>\n",
       "      <td>25</td>\n",
       "      <td>False</td>\n",
       "      <td>168</td>\n",
       "      <td>4.729613e+07</td>\n",
       "      <td>4.407955e+05</td>\n",
       "      <td>107.297210</td>\n",
       "      <td>6.501302</td>\n",
       "      <td>16</td>\n",
       "      <td>1.688048e+07</td>\n",
       "      <td>3.547621e+05</td>\n",
       "      <td>47.582542</td>\n",
       "      <td>7.282926</td>\n",
       "      <td>14</td>\n",
       "      <td>4.042383e+07</td>\n",
       "      <td>7.359520e+05</td>\n",
       "      <td>54.927260</td>\n",
       "      <td>5.745327</td>\n",
       "      <td>1.211607</td>\n",
       "      <td>0</td>\n",
       "      <td>1.537600</td>\n",
       "      <td>0.781624</td>\n",
       "      <td>0.755975</td>\n",
       "      <td>19.377589</td>\n",
       "      <td>2.823633</td>\n",
       "      <td>9</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>13.706295</td>\n",
       "      <td>-4.459637</td>\n",
       "      <td>277.549059</td>\n",
       "      <td>4.105511</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4287.5650</td>\n",
       "      <td>4198.9530</td>\n",
       "      <td>4398.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>63.761720</td>\n",
       "      <td>60.599770</td>\n",
       "      <td>66.481280</td>\n",
       "      <td>1237.820200</td>\n",
       "      <td>1182.92260</td>\n",
       "      <td>1292.717800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>295</td>\n",
       "      <td>U Sgr</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8290</td>\n",
       "      <td>4.506</td>\n",
       "      <td>4.100</td>\n",
       "      <td>3.912</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.85</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7371</td>\n",
       "      <td>452</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>277.97221</td>\n",
       "      <td>-19.12507</td>\n",
       "      <td>0.104202</td>\n",
       "      <td>V* U Sgr</td>\n",
       "      <td>277.972217</td>\n",
       "      <td>-19.125073</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>413</td>\n",
       "      <td>18 31 53.33218</td>\n",
       "      <td>-19 07 30.2627</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |** |cC*|*iC|IR |*</td>\n",
       "      <td>2.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G1Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.4601</td>\n",
       "      <td>-1.68</td>\n",
       "      <td>-6.03</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.810</td>\n",
       "      <td>6.680</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.550</td>\n",
       "      <td>4.130</td>\n",
       "      <td>4.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.097033</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4092905375639902464</td>\n",
       "      <td>6.093326</td>\n",
       "      <td>0.000052</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1700.851656</td>\n",
       "      <td>0.000073</td>\n",
       "      <td>1701.131003</td>\n",
       "      <td>0.000073</td>\n",
       "      <td>1700.517295</td>\n",
       "      <td>0.000073</td>\n",
       "      <td>6.353576</td>\n",
       "      <td>0.000544</td>\n",
       "      <td>7.014666</td>\n",
       "      <td>0.000904</td>\n",
       "      <td>5.625439</td>\n",
       "      <td>0.003481</td>\n",
       "      <td>0.672855</td>\n",
       "      <td>0.001622</td>\n",
       "      <td>0.949294</td>\n",
       "      <td>0.003816</td>\n",
       "      <td>0.560370</td>\n",
       "      <td>0.016486</td>\n",
       "      <td>-0.318796</td>\n",
       "      <td>0.233975</td>\n",
       "      <td>0.501924</td>\n",
       "      <td>0.002918</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.100112</td>\n",
       "      <td>0.006010</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>18</td>\n",
       "      <td>17</td>\n",
       "      <td>16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>178</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4154536747505387648</td>\n",
       "      <td>4154536747505387648</td>\n",
       "      <td>1225115776</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>275.612784</td>\n",
       "      <td>0.041785</td>\n",
       "      <td>-10.124772</td>\n",
       "      <td>0.041016</td>\n",
       "      <td>0.490294</td>\n",
       "      <td>0.052026</td>\n",
       "      <td>9.424084</td>\n",
       "      <td>1.517433</td>\n",
       "      <td>0.082747</td>\n",
       "      <td>0.118532</td>\n",
       "      <td>0.074848</td>\n",
       "      <td>-0.185472</td>\n",
       "      <td>0.285768</td>\n",
       "      <td>-0.121228</td>\n",
       "      <td>0.019116</td>\n",
       "      <td>-0.499168</td>\n",
       "      <td>-0.060585</td>\n",
       "      <td>-0.399106</td>\n",
       "      <td>-0.105908</td>\n",
       "      <td>0.342871</td>\n",
       "      <td>0.119982</td>\n",
       "      <td>145</td>\n",
       "      <td>145</td>\n",
       "      <td>143</td>\n",
       "      <td>2</td>\n",
       "      <td>0.334826</td>\n",
       "      <td>142.95401</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>249.560350</td>\n",
       "      <td>1.445787</td>\n",
       "      <td>0.011952</td>\n",
       "      <td>-0.082457</td>\n",
       "      <td>17</td>\n",
       "      <td>9</td>\n",
       "      <td>0.051177</td>\n",
       "      <td>0</td>\n",
       "      <td>17</td>\n",
       "      <td>False</td>\n",
       "      <td>147</td>\n",
       "      <td>3.430461e+06</td>\n",
       "      <td>2.741360e+04</td>\n",
       "      <td>125.137184</td>\n",
       "      <td>9.349984</td>\n",
       "      <td>17</td>\n",
       "      <td>1.234094e+06</td>\n",
       "      <td>3.641803e+04</td>\n",
       "      <td>33.886898</td>\n",
       "      <td>10.123017</td>\n",
       "      <td>16</td>\n",
       "      <td>3.235698e+06</td>\n",
       "      <td>7.428295e+04</td>\n",
       "      <td>43.559097</td>\n",
       "      <td>8.486999</td>\n",
       "      <td>1.302971</td>\n",
       "      <td>0</td>\n",
       "      <td>1.636018</td>\n",
       "      <td>0.773033</td>\n",
       "      <td>0.862985</td>\n",
       "      <td>3.811406</td>\n",
       "      <td>5.487281</td>\n",
       "      <td>2</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>20.623484</td>\n",
       "      <td>1.739649</td>\n",
       "      <td>275.675639</td>\n",
       "      <td>13.203995</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4897.6665</td>\n",
       "      <td>4274.7500</td>\n",
       "      <td>6055.0000</td>\n",
       "      <td>0.7880</td>\n",
       "      <td>0.3359</td>\n",
       "      <td>2.0180</td>\n",
       "      <td>0.3698</td>\n",
       "      <td>0.1716</td>\n",
       "      <td>1.0556</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>35.060158</td>\n",
       "      <td>22.938446</td>\n",
       "      <td>46.022568</td>\n",
       "      <td>637.205200</td>\n",
       "      <td>545.08100</td>\n",
       "      <td>729.329400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>285</td>\n",
       "      <td>V458 Sct</td>\n",
       "      <td>CEP(B)</td>\n",
       "      <td>0.6848</td>\n",
       "      <td>7.173</td>\n",
       "      <td>6.697</td>\n",
       "      <td>6.562</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.99</td>\n",
       "      <td>0.20</td>\n",
       "      <td>6488</td>\n",
       "      <td>468</td>\n",
       "      <td>c*</td>\n",
       "      <td>SZI</td>\n",
       "      <td>275.61278</td>\n",
       "      <td>-10.12477</td>\n",
       "      <td>0.015083</td>\n",
       "      <td>V* V458 Sct</td>\n",
       "      <td>275.612777</td>\n",
       "      <td>-10.124772</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>11</td>\n",
       "      <td>18 22 27.06654</td>\n",
       "      <td>-10 07 29.1800</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |*  |IR</td>\n",
       "      <td>3.810</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4903</td>\n",
       "      <td>0.70</td>\n",
       "      <td>-3.70</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.740</td>\n",
       "      <td>9.810</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.173</td>\n",
       "      <td>6.697</td>\n",
       "      <td>6.562</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.023592</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4154536747505387648</td>\n",
       "      <td>5.612644</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1705.086140</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>1705.352714</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>1705.379738</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>9.315949</td>\n",
       "      <td>0.000207</td>\n",
       "      <td>10.170422</td>\n",
       "      <td>0.001656</td>\n",
       "      <td>8.519591</td>\n",
       "      <td>0.001132</td>\n",
       "      <td>0.284126</td>\n",
       "      <td>0.000464</td>\n",
       "      <td>0.329260</td>\n",
       "      <td>0.002141</td>\n",
       "      <td>0.230307</td>\n",
       "      <td>0.001172</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13</td>\n",
       "      <td>12</td>\n",
       "      <td>13</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>179</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4156450099578283776</td>\n",
       "      <td>4156450099578283776</td>\n",
       "      <td>806740406</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>279.513774</td>\n",
       "      <td>0.045240</td>\n",
       "      <td>-8.368947</td>\n",
       "      <td>0.055005</td>\n",
       "      <td>0.429402</td>\n",
       "      <td>0.066752</td>\n",
       "      <td>6.432774</td>\n",
       "      <td>-0.707245</td>\n",
       "      <td>0.091895</td>\n",
       "      <td>-2.975487</td>\n",
       "      <td>0.078828</td>\n",
       "      <td>0.134040</td>\n",
       "      <td>0.098495</td>\n",
       "      <td>-0.411125</td>\n",
       "      <td>-0.184577</td>\n",
       "      <td>-0.614407</td>\n",
       "      <td>0.177250</td>\n",
       "      <td>-0.575490</td>\n",
       "      <td>-0.523247</td>\n",
       "      <td>0.290938</td>\n",
       "      <td>-0.009984</td>\n",
       "      <td>151</td>\n",
       "      <td>151</td>\n",
       "      <td>149</td>\n",
       "      <td>2</td>\n",
       "      <td>4.956349</td>\n",
       "      <td>244.60153</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>257.700620</td>\n",
       "      <td>1.398802</td>\n",
       "      <td>0.011321</td>\n",
       "      <td>0.076602</td>\n",
       "      <td>17</td>\n",
       "      <td>10</td>\n",
       "      <td>0.058335</td>\n",
       "      <td>0</td>\n",
       "      <td>17</td>\n",
       "      <td>False</td>\n",
       "      <td>151</td>\n",
       "      <td>5.514478e+06</td>\n",
       "      <td>7.839028e+04</td>\n",
       "      <td>70.346440</td>\n",
       "      <td>8.834605</td>\n",
       "      <td>17</td>\n",
       "      <td>1.612467e+06</td>\n",
       "      <td>9.594732e+04</td>\n",
       "      <td>16.805750</td>\n",
       "      <td>9.832662</td>\n",
       "      <td>16</td>\n",
       "      <td>5.817548e+06</td>\n",
       "      <td>2.186073e+05</td>\n",
       "      <td>26.611858</td>\n",
       "      <td>7.850070</td>\n",
       "      <td>1.347365</td>\n",
       "      <td>0</td>\n",
       "      <td>1.982592</td>\n",
       "      <td>0.998056</td>\n",
       "      <td>0.984535</td>\n",
       "      <td>5.906765</td>\n",
       "      <td>4.220625</td>\n",
       "      <td>3</td>\n",
       "      <td>4000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>23.964056</td>\n",
       "      <td>-0.858324</td>\n",
       "      <td>279.735314</td>\n",
       "      <td>14.749396</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4073.5250</td>\n",
       "      <td>3723.0000</td>\n",
       "      <td>4968.4450</td>\n",
       "      <td>0.8080</td>\n",
       "      <td>0.5006</td>\n",
       "      <td>1.5830</td>\n",
       "      <td>0.4355</td>\n",
       "      <td>0.2419</td>\n",
       "      <td>0.7840</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>87.123146</td>\n",
       "      <td>58.564354</td>\n",
       "      <td>104.300940</td>\n",
       "      <td>1882.969600</td>\n",
       "      <td>1505.62330</td>\n",
       "      <td>2260.316000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>286</td>\n",
       "      <td>Y Sct</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0146</td>\n",
       "      <td>6.460</td>\n",
       "      <td>5.894</td>\n",
       "      <td>5.627</td>\n",
       "      <td>0.23</td>\n",
       "      <td>0.20</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.02</td>\n",
       "      <td>0.05</td>\n",
       "      <td>6510</td>\n",
       "      <td>451</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>279.51378</td>\n",
       "      <td>-8.36893</td>\n",
       "      <td>0.064395</td>\n",
       "      <td>V* Y Sct</td>\n",
       "      <td>279.513777</td>\n",
       "      <td>-8.368934</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>106</td>\n",
       "      <td>18 38 03.30639</td>\n",
       "      <td>-08 22 08.1620</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>14.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4294</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>-2.98</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.200</td>\n",
       "      <td>9.690</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.482</td>\n",
       "      <td>5.852</td>\n",
       "      <td>5.589</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.047405</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4156450099578283776</td>\n",
       "      <td>5.739829</td>\n",
       "      <td>0.000128</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1703.921344</td>\n",
       "      <td>0.000181</td>\n",
       "      <td>1738.271483</td>\n",
       "      <td>0.000181</td>\n",
       "      <td>1738.180964</td>\n",
       "      <td>0.000181</td>\n",
       "      <td>8.879663</td>\n",
       "      <td>0.001044</td>\n",
       "      <td>9.928561</td>\n",
       "      <td>0.004593</td>\n",
       "      <td>7.923689</td>\n",
       "      <td>0.001806</td>\n",
       "      <td>0.643328</td>\n",
       "      <td>0.001022</td>\n",
       "      <td>1.054196</td>\n",
       "      <td>0.017039</td>\n",
       "      <td>0.579142</td>\n",
       "      <td>0.003606</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.136722</td>\n",
       "      <td>0.001861</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.799268</td>\n",
       "      <td>0.024691</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>17</td>\n",
       "      <td>15</td>\n",
       "      <td>14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>180</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4175017625462647168</td>\n",
       "      <td>4175017625462647168</td>\n",
       "      <td>163589993</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>268.161245</td>\n",
       "      <td>0.069394</td>\n",
       "      <td>-6.143596</td>\n",
       "      <td>0.068688</td>\n",
       "      <td>1.361059</td>\n",
       "      <td>0.083443</td>\n",
       "      <td>16.311155</td>\n",
       "      <td>-3.233863</td>\n",
       "      <td>0.134873</td>\n",
       "      <td>-4.646433</td>\n",
       "      <td>0.111281</td>\n",
       "      <td>0.222494</td>\n",
       "      <td>0.133869</td>\n",
       "      <td>-0.431350</td>\n",
       "      <td>-0.354966</td>\n",
       "      <td>-0.317958</td>\n",
       "      <td>-0.198828</td>\n",
       "      <td>-0.579318</td>\n",
       "      <td>-0.435904</td>\n",
       "      <td>0.129777</td>\n",
       "      <td>0.236592</td>\n",
       "      <td>162</td>\n",
       "      <td>162</td>\n",
       "      <td>146</td>\n",
       "      <td>16</td>\n",
       "      <td>20.656680</td>\n",
       "      <td>847.90320</td>\n",
       "      <td>0.206494</td>\n",
       "      <td>1.262432e+01</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>20.386755</td>\n",
       "      <td>1.392681</td>\n",
       "      <td>0.017614</td>\n",
       "      <td>-0.054355</td>\n",
       "      <td>17</td>\n",
       "      <td>9</td>\n",
       "      <td>0.082650</td>\n",
       "      <td>0</td>\n",
       "      <td>27</td>\n",
       "      <td>False</td>\n",
       "      <td>171</td>\n",
       "      <td>1.120474e+08</td>\n",
       "      <td>9.296995e+05</td>\n",
       "      <td>120.519990</td>\n",
       "      <td>5.564861</td>\n",
       "      <td>17</td>\n",
       "      <td>2.029338e+07</td>\n",
       "      <td>4.147623e+06</td>\n",
       "      <td>4.892775</td>\n",
       "      <td>7.083002</td>\n",
       "      <td>16</td>\n",
       "      <td>1.031119e+08</td>\n",
       "      <td>1.945327e+06</td>\n",
       "      <td>53.004948</td>\n",
       "      <td>4.728648</td>\n",
       "      <td>1.101367</td>\n",
       "      <td>0</td>\n",
       "      <td>2.354354</td>\n",
       "      <td>1.518141</td>\n",
       "      <td>0.836214</td>\n",
       "      <td>-0.399696</td>\n",
       "      <td>3.576916</td>\n",
       "      <td>6</td>\n",
       "      <td>4250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>20.598392</td>\n",
       "      <td>10.120471</td>\n",
       "      <td>268.085341</td>\n",
       "      <td>17.283464</td>\n",
       "      <td>101001.0</td>\n",
       "      <td>3859.0000</td>\n",
       "      <td>3486.0000</td>\n",
       "      <td>4000.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>148.018250</td>\n",
       "      <td>137.766890</td>\n",
       "      <td>181.388630</td>\n",
       "      <td>4377.482000</td>\n",
       "      <td>4044.05900</td>\n",
       "      <td>4710.905000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>251</td>\n",
       "      <td>Y Oph</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>1.2336</td>\n",
       "      <td>3.374</td>\n",
       "      <td>2.882</td>\n",
       "      <td>2.673</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.70</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7141</td>\n",
       "      <td>452</td>\n",
       "      <td>b</td>\n",
       "      <td>LII</td>\n",
       "      <td>268.16126</td>\n",
       "      <td>-6.14357</td>\n",
       "      <td>0.109620</td>\n",
       "      <td>V* Y Oph</td>\n",
       "      <td>268.161259</td>\n",
       "      <td>-6.143576</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>330</td>\n",
       "      <td>17 52 38.70211</td>\n",
       "      <td>-06 08 36.8752</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*  |SB*</td>\n",
       "      <td>-7.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G3Ia</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.3611</td>\n",
       "      <td>-3.23</td>\n",
       "      <td>-4.65</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.610</td>\n",
       "      <td>6.210</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.370</td>\n",
       "      <td>2.850</td>\n",
       "      <td>2.680</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.087746</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4175017625462647168</td>\n",
       "      <td>17.124841</td>\n",
       "      <td>0.002846</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1714.863770</td>\n",
       "      <td>0.004025</td>\n",
       "      <td>1714.124990</td>\n",
       "      <td>0.004025</td>\n",
       "      <td>1714.346872</td>\n",
       "      <td>0.004025</td>\n",
       "      <td>5.522178</td>\n",
       "      <td>0.000938</td>\n",
       "      <td>6.413885</td>\n",
       "      <td>0.002587</td>\n",
       "      <td>4.644426</td>\n",
       "      <td>0.001208</td>\n",
       "      <td>0.318921</td>\n",
       "      <td>0.002655</td>\n",
       "      <td>0.401927</td>\n",
       "      <td>0.022834</td>\n",
       "      <td>0.245091</td>\n",
       "      <td>0.005178</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14</td>\n",
       "      <td>14</td>\n",
       "      <td>14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>181</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4190143160245024256</td>\n",
       "      <td>4190143160245024256</td>\n",
       "      <td>139133696</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>298.087496</td>\n",
       "      <td>0.048704</td>\n",
       "      <td>-11.366923</td>\n",
       "      <td>0.025921</td>\n",
       "      <td>0.737999</td>\n",
       "      <td>0.052144</td>\n",
       "      <td>14.152988</td>\n",
       "      <td>7.826320</td>\n",
       "      <td>0.095624</td>\n",
       "      <td>-10.641468</td>\n",
       "      <td>0.049673</td>\n",
       "      <td>0.191035</td>\n",
       "      <td>0.127138</td>\n",
       "      <td>-0.409902</td>\n",
       "      <td>-0.225656</td>\n",
       "      <td>-0.100064</td>\n",
       "      <td>-0.227233</td>\n",
       "      <td>0.402803</td>\n",
       "      <td>-0.241038</td>\n",
       "      <td>-0.385651</td>\n",
       "      <td>0.204260</td>\n",
       "      <td>257</td>\n",
       "      <td>257</td>\n",
       "      <td>250</td>\n",
       "      <td>7</td>\n",
       "      <td>4.273906</td>\n",
       "      <td>351.45828</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>89.831210</td>\n",
       "      <td>1.565575</td>\n",
       "      <td>0.009055</td>\n",
       "      <td>-0.013729</td>\n",
       "      <td>29</td>\n",
       "      <td>12</td>\n",
       "      <td>0.060118</td>\n",
       "      <td>0</td>\n",
       "      <td>33</td>\n",
       "      <td>True</td>\n",
       "      <td>281</td>\n",
       "      <td>1.775883e+07</td>\n",
       "      <td>1.410171e+05</td>\n",
       "      <td>125.933920</td>\n",
       "      <td>7.564830</td>\n",
       "      <td>31</td>\n",
       "      <td>8.136993e+06</td>\n",
       "      <td>2.588289e+05</td>\n",
       "      <td>31.437725</td>\n",
       "      <td>8.075229</td>\n",
       "      <td>31</td>\n",
       "      <td>1.337618e+07</td>\n",
       "      <td>2.350023e+05</td>\n",
       "      <td>56.919357</td>\n",
       "      <td>6.946090</td>\n",
       "      <td>1.211407</td>\n",
       "      <td>0</td>\n",
       "      <td>1.129139</td>\n",
       "      <td>0.510399</td>\n",
       "      <td>0.618740</td>\n",
       "      <td>12.858437</td>\n",
       "      <td>3.012009</td>\n",
       "      <td>16</td>\n",
       "      <td>5250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>29.423981</td>\n",
       "      <td>-18.605506</td>\n",
       "      <td>297.895383</td>\n",
       "      <td>9.393806</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5010.5024</td>\n",
       "      <td>4921.8350</td>\n",
       "      <td>5055.0050</td>\n",
       "      <td>1.5913</td>\n",
       "      <td>1.0959</td>\n",
       "      <td>2.2031</td>\n",
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       "      <td>0.5339</td>\n",
       "      <td>1.0571</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>49.984410</td>\n",
       "      <td>49.108196</td>\n",
       "      <td>51.801582</td>\n",
       "      <td>1418.694800</td>\n",
       "      <td>1281.94030</td>\n",
       "      <td>1555.449300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>11</td>\n",
       "      <td>V1162 Aql</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.7305</td>\n",
       "      <td>6.133</td>\n",
       "      <td>5.813</td>\n",
       "      <td>5.663</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.11</td>\n",
       "      <td>0.05</td>\n",
       "      <td>6609</td>\n",
       "      <td>450</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>298.08746</td>\n",
       "      <td>-11.36687</td>\n",
       "      <td>0.229615</td>\n",
       "      <td>V* V1162 Aql</td>\n",
       "      <td>298.087462</td>\n",
       "      <td>-11.366877</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>68</td>\n",
       "      <td>19 52 20.99091</td>\n",
       "      <td>-11 22 00.7572</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>12.700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G2Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.7380</td>\n",
       "      <td>7.86</td>\n",
       "      <td>-10.83</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.730</td>\n",
       "      <td>7.810</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.082</td>\n",
       "      <td>5.746</td>\n",
       "      <td>5.627</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.204748</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>4190143160245024256</td>\n",
       "      <td>5.376680</td>\n",
       "      <td>0.000040</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1706.669983</td>\n",
       "      <td>0.000056</td>\n",
       "      <td>1706.700173</td>\n",
       "      <td>0.000056</td>\n",
       "      <td>1706.835547</td>\n",
       "      <td>0.000056</td>\n",
       "      <td>7.536922</td>\n",
       "      <td>0.000091</td>\n",
       "      <td>8.033792</td>\n",
       "      <td>0.000251</td>\n",
       "      <td>6.925183</td>\n",
       "      <td>0.000371</td>\n",
       "      <td>0.426957</td>\n",
       "      <td>0.000540</td>\n",
       "      <td>0.537560</td>\n",
       "      <td>0.001115</td>\n",
       "      <td>0.316903</td>\n",
       "      <td>0.001373</td>\n",
       "      <td>0.325564</td>\n",
       "      <td>0.233789</td>\n",
       "      <td>0.310980</td>\n",
       "      <td>0.001291</td>\n",
       "      <td>0.084530</td>\n",
       "      <td>0.001207</td>\n",
       "      <td>4.587333</td>\n",
       "      <td>0.003556</td>\n",
       "      <td>2.955971</td>\n",
       "      <td>0.012480</td>\n",
       "      <td>30</td>\n",
       "      <td>28</td>\n",
       "      <td>29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>182</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4204653587029046400</td>\n",
       "      <td>4204653587029046400</td>\n",
       "      <td>75973621</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>287.086544</td>\n",
       "      <td>0.039491</td>\n",
       "      <td>-7.437768</td>\n",
       "      <td>0.039116</td>\n",
       "      <td>0.943546</td>\n",
       "      <td>0.047614</td>\n",
       "      <td>19.816631</td>\n",
       "      <td>-0.609484</td>\n",
       "      <td>0.080432</td>\n",
       "      <td>-5.379820</td>\n",
       "      <td>0.072534</td>\n",
       "      <td>0.170686</td>\n",
       "      <td>-0.048343</td>\n",
       "      <td>-0.226368</td>\n",
       "      <td>-0.175554</td>\n",
       "      <td>-0.470933</td>\n",
       "      <td>-0.092783</td>\n",
       "      <td>-0.234426</td>\n",
       "      <td>-0.117784</td>\n",
       "      <td>0.050533</td>\n",
       "      <td>0.126206</td>\n",
       "      <td>167</td>\n",
       "      <td>167</td>\n",
       "      <td>166</td>\n",
       "      <td>1</td>\n",
       "      <td>6.421044</td>\n",
       "      <td>304.87220</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>101.247110</td>\n",
       "      <td>1.510082</td>\n",
       "      <td>0.009049</td>\n",
       "      <td>0.061906</td>\n",
       "      <td>19</td>\n",
       "      <td>11</td>\n",
       "      <td>0.051389</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "      <td>False</td>\n",
       "      <td>167</td>\n",
       "      <td>2.162863e+07</td>\n",
       "      <td>1.342476e+05</td>\n",
       "      <td>161.110000</td>\n",
       "      <td>7.350793</td>\n",
       "      <td>18</td>\n",
       "      <td>8.332715e+06</td>\n",
       "      <td>2.062118e+05</td>\n",
       "      <td>40.408535</td>\n",
       "      <td>8.049422</td>\n",
       "      <td>19</td>\n",
       "      <td>1.821842e+07</td>\n",
       "      <td>3.789922e+05</td>\n",
       "      <td>48.070690</td>\n",
       "      <td>6.610643</td>\n",
       "      <td>1.227592</td>\n",
       "      <td>0</td>\n",
       "      <td>1.438779</td>\n",
       "      <td>0.698629</td>\n",
       "      <td>0.740150</td>\n",
       "      <td>2.556339</td>\n",
       "      <td>2.257236</td>\n",
       "      <td>8</td>\n",
       "      <td>4750.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>28.198576</td>\n",
       "      <td>-7.127352</td>\n",
       "      <td>287.552177</td>\n",
       "      <td>14.966448</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4384.0000</td>\n",
       "      <td>4342.0500</td>\n",
       "      <td>4453.9100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>62.361347</td>\n",
       "      <td>60.419018</td>\n",
       "      <td>63.572163</td>\n",
       "      <td>1294.219200</td>\n",
       "      <td>1202.96230</td>\n",
       "      <td>1385.476200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>16</td>\n",
       "      <td>V496 Aql</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.8330</td>\n",
       "      <td>5.564</td>\n",
       "      <td>5.136</td>\n",
       "      <td>4.966</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.68</td>\n",
       "      <td>0.05</td>\n",
       "      <td>6775</td>\n",
       "      <td>450</td>\n",
       "      <td>b</td>\n",
       "      <td>LII</td>\n",
       "      <td>287.08654</td>\n",
       "      <td>-7.43775</td>\n",
       "      <td>0.067570</td>\n",
       "      <td>V* V496 Aql</td>\n",
       "      <td>287.086547</td>\n",
       "      <td>-7.437745</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>152</td>\n",
       "      <td>19 08 20.77122</td>\n",
       "      <td>-07 26 15.8826</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>SB*|V* |cC*|*  |IR</td>\n",
       "      <td>1.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8/G0Iab/b</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.9435</td>\n",
       "      <td>-0.61</td>\n",
       "      <td>-5.38</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.880</td>\n",
       "      <td>7.790</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.565</td>\n",
       "      <td>5.138</td>\n",
       "      <td>4.904</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.083921</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4204653587029046400</td>\n",
       "      <td>6.806009</td>\n",
       "      <td>0.000099</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1703.801516</td>\n",
       "      <td>0.000139</td>\n",
       "      <td>1703.403706</td>\n",
       "      <td>0.000139</td>\n",
       "      <td>1704.417263</td>\n",
       "      <td>0.000139</td>\n",
       "      <td>7.344262</td>\n",
       "      <td>0.000134</td>\n",
       "      <td>8.021019</td>\n",
       "      <td>0.005127</td>\n",
       "      <td>6.574221</td>\n",
       "      <td>0.001980</td>\n",
       "      <td>0.305240</td>\n",
       "      <td>0.000942</td>\n",
       "      <td>0.421889</td>\n",
       "      <td>0.008569</td>\n",
       "      <td>0.179868</td>\n",
       "      <td>0.066425</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.274359</td>\n",
       "      <td>0.001931</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.883798</td>\n",
       "      <td>0.008782</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>17</td>\n",
       "      <td>16</td>\n",
       "      <td>15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>183</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4253603501158148736</td>\n",
       "      <td>4253603501158148736</td>\n",
       "      <td>1605838337</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>280.611749</td>\n",
       "      <td>0.046436</td>\n",
       "      <td>-5.340852</td>\n",
       "      <td>0.052457</td>\n",
       "      <td>0.376317</td>\n",
       "      <td>0.064852</td>\n",
       "      <td>5.802721</td>\n",
       "      <td>-1.036999</td>\n",
       "      <td>0.092505</td>\n",
       "      <td>-1.303586</td>\n",
       "      <td>0.081757</td>\n",
       "      <td>0.013039</td>\n",
       "      <td>0.143772</td>\n",
       "      <td>-0.401737</td>\n",
       "      <td>-0.131358</td>\n",
       "      <td>-0.556960</td>\n",
       "      <td>0.117787</td>\n",
       "      <td>-0.456854</td>\n",
       "      <td>-0.445962</td>\n",
       "      <td>0.255420</td>\n",
       "      <td>0.035432</td>\n",
       "      <td>142</td>\n",
       "      <td>142</td>\n",
       "      <td>142</td>\n",
       "      <td>0</td>\n",
       "      <td>5.494852</td>\n",
       "      <td>248.57670</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>251.788100</td>\n",
       "      <td>1.410304</td>\n",
       "      <td>0.014396</td>\n",
       "      <td>0.104292</td>\n",
       "      <td>16</td>\n",
       "      <td>10</td>\n",
       "      <td>0.056890</td>\n",
       "      <td>0</td>\n",
       "      <td>16</td>\n",
       "      <td>False</td>\n",
       "      <td>142</td>\n",
       "      <td>1.191379e+06</td>\n",
       "      <td>1.191343e+04</td>\n",
       "      <td>100.002990</td>\n",
       "      <td>10.498241</td>\n",
       "      <td>16</td>\n",
       "      <td>3.807407e+05</td>\n",
       "      <td>1.541726e+04</td>\n",
       "      <td>24.695745</td>\n",
       "      <td>11.399815</td>\n",
       "      <td>16</td>\n",
       "      <td>1.167698e+06</td>\n",
       "      <td>3.055453e+04</td>\n",
       "      <td>38.216843</td>\n",
       "      <td>9.593594</td>\n",
       "      <td>1.299703</td>\n",
       "      <td>0</td>\n",
       "      <td>1.806221</td>\n",
       "      <td>0.901573</td>\n",
       "      <td>0.904648</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>27.155337</td>\n",
       "      <td>-0.440563</td>\n",
       "      <td>281.096068</td>\n",
       "      <td>17.690611</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4035.0952</td>\n",
       "      <td>3927.2375</td>\n",
       "      <td>4157.9624</td>\n",
       "      <td>0.5417</td>\n",
       "      <td>0.2193</td>\n",
       "      <td>1.8481</td>\n",
       "      <td>0.2393</td>\n",
       "      <td>0.0789</td>\n",
       "      <td>0.7506</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>47.674790</td>\n",
       "      <td>44.898853</td>\n",
       "      <td>50.329430</td>\n",
       "      <td>542.859500</td>\n",
       "      <td>421.72656</td>\n",
       "      <td>663.992430</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>280</td>\n",
       "      <td>CM Sct</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5930</td>\n",
       "      <td>8.300</td>\n",
       "      <td>7.818</td>\n",
       "      <td>7.558</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.60</td>\n",
       "      <td>0.07</td>\n",
       "      <td>6153</td>\n",
       "      <td>450</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>280.61176</td>\n",
       "      <td>-5.34084</td>\n",
       "      <td>0.057178</td>\n",
       "      <td>V* CM Sct</td>\n",
       "      <td>280.611754</td>\n",
       "      <td>-5.340846</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>63</td>\n",
       "      <td>18 42 26.82087</td>\n",
       "      <td>-05 20 27.0457</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>39.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3763</td>\n",
       "      <td>-1.04</td>\n",
       "      <td>-1.30</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.930</td>\n",
       "      <td>10.930</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.220</td>\n",
       "      <td>7.751</td>\n",
       "      <td>7.492</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.025819</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4253603501158148736</td>\n",
       "      <td>3.917711</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1711.967695</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>1712.028314</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>1712.106734</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>10.510180</td>\n",
       "      <td>0.000492</td>\n",
       "      <td>11.409274</td>\n",
       "      <td>0.001065</td>\n",
       "      <td>9.596180</td>\n",
       "      <td>0.000328</td>\n",
       "      <td>0.403793</td>\n",
       "      <td>0.000794</td>\n",
       "      <td>0.511605</td>\n",
       "      <td>0.001693</td>\n",
       "      <td>0.331128</td>\n",
       "      <td>0.001060</td>\n",
       "      <td>0.128177</td>\n",
       "      <td>0.220698</td>\n",
       "      <td>0.353719</td>\n",
       "      <td>0.006479</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.406574</td>\n",
       "      <td>0.015141</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14</td>\n",
       "      <td>14</td>\n",
       "      <td>13</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>184</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4256744187345732224</td>\n",
       "      <td>4256744187345732224</td>\n",
       "      <td>1669717963</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>280.532969</td>\n",
       "      <td>0.046590</td>\n",
       "      <td>-4.293492</td>\n",
       "      <td>0.047619</td>\n",
       "      <td>0.320928</td>\n",
       "      <td>0.052406</td>\n",
       "      <td>6.123836</td>\n",
       "      <td>-1.126822</td>\n",
       "      <td>0.090510</td>\n",
       "      <td>-2.477709</td>\n",
       "      <td>0.079264</td>\n",
       "      <td>0.279971</td>\n",
       "      <td>0.061286</td>\n",
       "      <td>-0.341785</td>\n",
       "      <td>-0.310543</td>\n",
       "      <td>-0.394503</td>\n",
       "      <td>-0.193566</td>\n",
       "      <td>-0.425284</td>\n",
       "      <td>-0.184798</td>\n",
       "      <td>-0.007223</td>\n",
       "      <td>0.164759</td>\n",
       "      <td>148</td>\n",
       "      <td>148</td>\n",
       "      <td>145</td>\n",
       "      <td>3</td>\n",
       "      <td>7.318285</td>\n",
       "      <td>300.52260</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>259.005770</td>\n",
       "      <td>1.376281</td>\n",
       "      <td>0.012920</td>\n",
       "      <td>0.148743</td>\n",
       "      <td>18</td>\n",
       "      <td>11</td>\n",
       "      <td>0.059278</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "      <td>False</td>\n",
       "      <td>164</td>\n",
       "      <td>2.044029e+06</td>\n",
       "      <td>1.924518e+04</td>\n",
       "      <td>106.209900</td>\n",
       "      <td>9.912148</td>\n",
       "      <td>19</td>\n",
       "      <td>4.975644e+05</td>\n",
       "      <td>1.793304e+04</td>\n",
       "      <td>27.745676</td>\n",
       "      <td>11.109265</td>\n",
       "      <td>20</td>\n",
       "      <td>2.178985e+06</td>\n",
       "      <td>5.094299e+04</td>\n",
       "      <td>42.773006</td>\n",
       "      <td>8.916285</td>\n",
       "      <td>1.309448</td>\n",
       "      <td>0</td>\n",
       "      <td>2.192981</td>\n",
       "      <td>1.197117</td>\n",
       "      <td>0.995864</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>28.050844</td>\n",
       "      <td>0.108258</td>\n",
       "      <td>281.098389</td>\n",
       "      <td>18.740906</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4473.7230</td>\n",
       "      <td>3800.1700</td>\n",
       "      <td>5569.0000</td>\n",
       "      <td>1.1035</td>\n",
       "      <td>0.6269</td>\n",
       "      <td>1.8655</td>\n",
       "      <td>0.5420</td>\n",
       "      <td>0.3090</td>\n",
       "      <td>0.8027</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>53.083630</td>\n",
       "      <td>34.256610</td>\n",
       "      <td>73.568650</td>\n",
       "      <td>1016.933040</td>\n",
       "      <td>791.22840</td>\n",
       "      <td>1242.637700</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>284</td>\n",
       "      <td>TY Sct</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0435</td>\n",
       "      <td>7.232</td>\n",
       "      <td>6.633</td>\n",
       "      <td>6.365</td>\n",
       "      <td>0.37</td>\n",
       "      <td>0.34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.83</td>\n",
       "      <td>0.05</td>\n",
       "      <td>5990</td>\n",
       "      <td>446</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>280.53298</td>\n",
       "      <td>-4.29349</td>\n",
       "      <td>0.039094</td>\n",
       "      <td>V* TY Sct</td>\n",
       "      <td>280.532974</td>\n",
       "      <td>-4.293482</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>77</td>\n",
       "      <td>18 42 07.91382</td>\n",
       "      <td>-04 17 36.5342</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>25.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3209</td>\n",
       "      <td>-1.13</td>\n",
       "      <td>-2.48</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.070</td>\n",
       "      <td>11.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.377</td>\n",
       "      <td>6.802</td>\n",
       "      <td>6.492</td>\n",
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       "      <td>0.042190</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4256744187345732224</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>1710.741800</td>\n",
       "      <td>0.000024</td>\n",
       "      <td>1710.358343</td>\n",
       "      <td>0.000024</td>\n",
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       "      <td>6.647796</td>\n",
       "      <td>0.007104</td>\n",
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       "      <td>17</td>\n",
       "      <td>15</td>\n",
       "      <td>13</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>185</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4265371574109405824</td>\n",
       "      <td>4265371574109405824</td>\n",
       "      <td>755895730</td>\n",
       "      <td>2015.5</td>\n",
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       "      <td>-0.200237</td>\n",
       "      <td>-0.183032</td>\n",
       "      <td>168</td>\n",
       "      <td>168</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
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       "      <td>1.478408</td>\n",
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       "      <td>0.039484</td>\n",
       "      <td>19</td>\n",
       "      <td>10</td>\n",
       "      <td>0.059578</td>\n",
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       "      <td>20</td>\n",
       "      <td>False</td>\n",
       "      <td>168</td>\n",
       "      <td>1.112927e+06</td>\n",
       "      <td>1.393746e+04</td>\n",
       "      <td>79.851500</td>\n",
       "      <td>10.572199</td>\n",
       "      <td>16</td>\n",
       "      <td>3.714203e+05</td>\n",
       "      <td>1.876944e+04</td>\n",
       "      <td>19.788568</td>\n",
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       "      <td>18</td>\n",
       "      <td>1.032572e+06</td>\n",
       "      <td>3.328556e+04</td>\n",
       "      <td>31.021630</td>\n",
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       "      <td>1.261532</td>\n",
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       "      <td>24.899739</td>\n",
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       "      <td>2</td>\n",
       "      <td>4750.0</td>\n",
       "      <td>4.5</td>\n",
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       "      <td>VARIABLE</td>\n",
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       "      <td>285.497441</td>\n",
       "      <td>21.940281</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4140.1200</td>\n",
       "      <td>4018.9000</td>\n",
       "      <td>4370.2000</td>\n",
       "      <td>0.7150</td>\n",
       "      <td>0.2815</td>\n",
       "      <td>1.9237</td>\n",
       "      <td>0.3420</td>\n",
       "      <td>0.1505</td>\n",
       "      <td>0.7146</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>39.874035</td>\n",
       "      <td>35.786022</td>\n",
       "      <td>42.315716</td>\n",
       "      <td>420.849550</td>\n",
       "      <td>356.37780</td>\n",
       "      <td>485.321300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>15</td>\n",
       "      <td>V493 Aql</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.4753</td>\n",
       "      <td>8.464</td>\n",
       "      <td>8.001</td>\n",
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       "      <td>11.52</td>\n",
       "      <td>0.07</td>\n",
       "      <td>6344</td>\n",
       "      <td>447</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>284.35112</td>\n",
       "      <td>-0.73023</td>\n",
       "      <td>0.057055</td>\n",
       "      <td>TYC 5115-227-1</td>\n",
       "      <td>284.351096</td>\n",
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       "      <td>18 57 24.263</td>\n",
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       "      <td>Star</td>\n",
       "      <td>*  |*</td>\n",
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       "      <td>0.039253</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4265371574109405824</td>\n",
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       "      <td>1713.357279</td>\n",
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       "      <td>0.011379</td>\n",
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       "      <td>17</td>\n",
       "      <td>16</td>\n",
       "      <td>18</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>MULTI</td>\n",
       "      <td>F/1O</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>186</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4267397694768545920</td>\n",
       "      <td>4267397694768545920</td>\n",
       "      <td>784340794</td>\n",
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       "      <td>-0.103895</td>\n",
       "      <td>-0.395170</td>\n",
       "      <td>-0.364618</td>\n",
       "      <td>0.083302</td>\n",
       "      <td>0.101145</td>\n",
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       "      <td>112</td>\n",
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       "      <td>0.000000</td>\n",
       "      <td>1.358042e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
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       "      <td>1.448994</td>\n",
       "      <td>0.011687</td>\n",
       "      <td>0.018737</td>\n",
       "      <td>13</td>\n",
       "      <td>9</td>\n",
       "      <td>0.053572</td>\n",
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       "      <td>19</td>\n",
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       "      <td>3.142343e+07</td>\n",
       "      <td>3.358933e+05</td>\n",
       "      <td>93.551820</td>\n",
       "      <td>6.945232</td>\n",
       "      <td>12</td>\n",
       "      <td>1.054727e+07</td>\n",
       "      <td>4.891150e+05</td>\n",
       "      <td>21.563990</td>\n",
       "      <td>7.793538</td>\n",
       "      <td>12</td>\n",
       "      <td>3.054887e+07</td>\n",
       "      <td>8.738495e+05</td>\n",
       "      <td>34.958965</td>\n",
       "      <td>6.049432</td>\n",
       "      <td>1.307818</td>\n",
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       "      <td>VARIABLE</td>\n",
       "      <td>36.005608</td>\n",
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       "      <td>288.669805</td>\n",
       "      <td>23.639155</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3955.6667</td>\n",
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       "      <td>200111.0</td>\n",
       "      <td>110.662800</td>\n",
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       "      <td>113.164050</td>\n",
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       "      <td>2476.57370</td>\n",
       "      <td>2926.076200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>9</td>\n",
       "      <td>TT Aql</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1384</td>\n",
       "      <td>4.634</td>\n",
       "      <td>4.174</td>\n",
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       "      <td>7176</td>\n",
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       "      <td>287.05729</td>\n",
       "      <td>1.29866</td>\n",
       "      <td>0.100404</td>\n",
       "      <td>V* TT Aql</td>\n",
       "      <td>287.057290</td>\n",
       "      <td>1.298652</td>\n",
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       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>246</td>\n",
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       "      <td>+01 17 55.1462</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>** |V* |cC*|IR |*</td>\n",
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       "      <td>G0/2Ib</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>14</td>\n",
       "      <td>13</td>\n",
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       "      <td>DCEP</td>\n",
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       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>187</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4267549637851481344</td>\n",
       "      <td>4267549637851481344</td>\n",
       "      <td>244228187</td>\n",
       "      <td>2015.5</td>\n",
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       "      <td>0.044920</td>\n",
       "      <td>9.372765</td>\n",
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       "      <td>0.073556</td>\n",
       "      <td>-0.191888</td>\n",
       "      <td>-0.259384</td>\n",
       "      <td>-0.284345</td>\n",
       "      <td>-0.180945</td>\n",
       "      <td>-0.252454</td>\n",
       "      <td>-0.245831</td>\n",
       "      <td>0.124463</td>\n",
       "      <td>0.179973</td>\n",
       "      <td>177</td>\n",
       "      <td>177</td>\n",
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       "      <td>2</td>\n",
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       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>104.467440</td>\n",
       "      <td>1.423304</td>\n",
       "      <td>0.011371</td>\n",
       "      <td>0.088669</td>\n",
       "      <td>20</td>\n",
       "      <td>11</td>\n",
       "      <td>0.051252</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "      <td>False</td>\n",
       "      <td>177</td>\n",
       "      <td>1.204644e+07</td>\n",
       "      <td>2.325977e+05</td>\n",
       "      <td>51.790890</td>\n",
       "      <td>7.986218</td>\n",
       "      <td>20</td>\n",
       "      <td>3.672103e+06</td>\n",
       "      <td>2.644926e+05</td>\n",
       "      <td>13.883574</td>\n",
       "      <td>8.939101</td>\n",
       "      <td>20</td>\n",
       "      <td>1.074240e+07</td>\n",
       "      <td>5.010427e+05</td>\n",
       "      <td>21.440084</td>\n",
       "      <td>7.184167</td>\n",
       "      <td>1.196577</td>\n",
       "      <td>0</td>\n",
       "      <td>1.754934</td>\n",
       "      <td>0.952883</td>\n",
       "      <td>0.802052</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>35.603161</td>\n",
       "      <td>-2.343923</td>\n",
       "      <td>287.703324</td>\n",
       "      <td>23.757482</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3933.3333</td>\n",
       "      <td>3910.0000</td>\n",
       "      <td>3988.2500</td>\n",
       "      <td>0.4703</td>\n",
       "      <td>0.2129</td>\n",
       "      <td>1.8244</td>\n",
       "      <td>0.2283</td>\n",
       "      <td>0.1126</td>\n",
       "      <td>0.8411</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>147.279820</td>\n",
       "      <td>143.251770</td>\n",
       "      <td>149.042880</td>\n",
       "      <td>4677.612000</td>\n",
       "      <td>3966.15360</td>\n",
       "      <td>5389.070000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>8</td>\n",
       "      <td>SZ Aql</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.2340</td>\n",
       "      <td>5.836</td>\n",
       "      <td>5.337</td>\n",
       "      <td>5.121</td>\n",
       "      <td>0.18</td>\n",
       "      <td>0.24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.33</td>\n",
       "      <td>0.05</td>\n",
       "      <td>6527</td>\n",
       "      <td>447</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>286.16423</td>\n",
       "      <td>1.30616</td>\n",
       "      <td>0.061123</td>\n",
       "      <td>V* SZ Aql</td>\n",
       "      <td>286.164233</td>\n",
       "      <td>1.306154</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>164</td>\n",
       "      <td>19 04 39.41599</td>\n",
       "      <td>+01 18 22.1560</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>7.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8/G0Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4210</td>\n",
       "      <td>0.29</td>\n",
       "      <td>-2.51</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.920</td>\n",
       "      <td>7.920</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.735</td>\n",
       "      <td>5.333</td>\n",
       "      <td>5.139</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.039182</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4267549637851481344</td>\n",
       "      <td>10.602812</td>\n",
       "      <td>0.000091</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1691.851480</td>\n",
       "      <td>0.000128</td>\n",
       "      <td>1692.346371</td>\n",
       "      <td>0.000128</td>\n",
       "      <td>1691.948798</td>\n",
       "      <td>0.000128</td>\n",
       "      <td>7.876726</td>\n",
       "      <td>0.000236</td>\n",
       "      <td>8.660909</td>\n",
       "      <td>0.000551</td>\n",
       "      <td>7.001432</td>\n",
       "      <td>0.000662</td>\n",
       "      <td>0.751493</td>\n",
       "      <td>0.000839</td>\n",
       "      <td>0.913091</td>\n",
       "      <td>0.001990</td>\n",
       "      <td>0.525458</td>\n",
       "      <td>0.002409</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>18</td>\n",
       "      <td>17</td>\n",
       "      <td>15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>188</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4269036830424588800</td>\n",
       "      <td>4269036830424588800</td>\n",
       "      <td>828653881</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>288.197138</td>\n",
       "      <td>0.046751</td>\n",
       "      <td>3.557399</td>\n",
       "      <td>0.044733</td>\n",
       "      <td>0.690107</td>\n",
       "      <td>0.049826</td>\n",
       "      <td>13.850221</td>\n",
       "      <td>-1.813866</td>\n",
       "      <td>0.103752</td>\n",
       "      <td>-4.508334</td>\n",
       "      <td>0.098334</td>\n",
       "      <td>0.596430</td>\n",
       "      <td>-0.099731</td>\n",
       "      <td>-0.028942</td>\n",
       "      <td>-0.239627</td>\n",
       "      <td>-0.075245</td>\n",
       "      <td>-0.187944</td>\n",
       "      <td>-0.213195</td>\n",
       "      <td>-0.258695</td>\n",
       "      <td>-0.023239</td>\n",
       "      <td>0.470286</td>\n",
       "      <td>211</td>\n",
       "      <td>211</td>\n",
       "      <td>208</td>\n",
       "      <td>3</td>\n",
       "      <td>2.226053</td>\n",
       "      <td>250.47069</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>88.392910</td>\n",
       "      <td>1.457364</td>\n",
       "      <td>0.008443</td>\n",
       "      <td>0.251503</td>\n",
       "      <td>25</td>\n",
       "      <td>11</td>\n",
       "      <td>0.074647</td>\n",
       "      <td>0</td>\n",
       "      <td>42</td>\n",
       "      <td>False</td>\n",
       "      <td>338</td>\n",
       "      <td>1.207479e+07</td>\n",
       "      <td>7.585217e+04</td>\n",
       "      <td>159.188400</td>\n",
       "      <td>7.983667</td>\n",
       "      <td>33</td>\n",
       "      <td>4.250465e+06</td>\n",
       "      <td>9.887083e+04</td>\n",
       "      <td>42.990080</td>\n",
       "      <td>8.780297</td>\n",
       "      <td>37</td>\n",
       "      <td>1.074994e+07</td>\n",
       "      <td>1.770048e+05</td>\n",
       "      <td>60.732440</td>\n",
       "      <td>7.183405</td>\n",
       "      <td>1.242291</td>\n",
       "      <td>0</td>\n",
       "      <td>1.596892</td>\n",
       "      <td>0.796630</td>\n",
       "      <td>0.800262</td>\n",
       "      <td>6.595607</td>\n",
       "      <td>2.909758</td>\n",
       "      <td>14</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>38.538827</td>\n",
       "      <td>-3.114904</td>\n",
       "      <td>290.241769</td>\n",
       "      <td>25.726983</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4798.0000</td>\n",
       "      <td>4163.0000</td>\n",
       "      <td>6194.0000</td>\n",
       "      <td>0.2155</td>\n",
       "      <td>0.0413</td>\n",
       "      <td>1.5924</td>\n",
       "      <td>0.1220</td>\n",
       "      <td>0.0172</td>\n",
       "      <td>0.6030</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>6</td>\n",
       "      <td>FN Aql</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.9769</td>\n",
       "      <td>5.940</td>\n",
       "      <td>5.485</td>\n",
       "      <td>5.291</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>-0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.47</td>\n",
       "      <td>0.05</td>\n",
       "      <td>6520</td>\n",
       "      <td>445</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>288.19715</td>\n",
       "      <td>3.55741</td>\n",
       "      <td>0.059650</td>\n",
       "      <td>V* FN Aql</td>\n",
       "      <td>288.197146</td>\n",
       "      <td>3.557418</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>158</td>\n",
       "      <td>19 12 47.31501</td>\n",
       "      <td>+03 33 26.7045</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>12.900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8/G0Iab/b</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.6901</td>\n",
       "      <td>-1.81</td>\n",
       "      <td>-4.51</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.580</td>\n",
       "      <td>7.960</td>\n",
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       "      <td>6.067</td>\n",
       "      <td>5.556</td>\n",
       "      <td>5.327</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.075323</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>4269036830424588800</td>\n",
       "      <td>9.480547</td>\n",
       "      <td>0.000140</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1699.145590</td>\n",
       "      <td>0.000198</td>\n",
       "      <td>1699.115338</td>\n",
       "      <td>0.000198</td>\n",
       "      <td>1700.199323</td>\n",
       "      <td>0.000198</td>\n",
       "      <td>7.898905</td>\n",
       "      <td>0.001443</td>\n",
       "      <td>8.667331</td>\n",
       "      <td>0.003793</td>\n",
       "      <td>7.120553</td>\n",
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       "      <td>0.475268</td>\n",
       "      <td>0.005938</td>\n",
       "      <td>0.531498</td>\n",
       "      <td>0.015612</td>\n",
       "      <td>0.276635</td>\n",
       "      <td>0.000960</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.086625</td>\n",
       "      <td>0.003285</td>\n",
       "      <td>0.125131</td>\n",
       "      <td>0.002248</td>\n",
       "      <td>1.699261</td>\n",
       "      <td>0.111845</td>\n",
       "      <td>6.096186</td>\n",
       "      <td>0.033549</td>\n",
       "      <td>33</td>\n",
       "      <td>29</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>189</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4303770918113986304</td>\n",
       "      <td>4303770918113986304</td>\n",
       "      <td>365759460</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>299.387594</td>\n",
       "      <td>0.027977</td>\n",
       "      <td>11.043660</td>\n",
       "      <td>0.023267</td>\n",
       "      <td>0.300351</td>\n",
       "      <td>0.042532</td>\n",
       "      <td>7.061707</td>\n",
       "      <td>0.112402</td>\n",
       "      <td>0.060439</td>\n",
       "      <td>-4.269274</td>\n",
       "      <td>0.046139</td>\n",
       "      <td>0.060850</td>\n",
       "      <td>-0.047778</td>\n",
       "      <td>0.135817</td>\n",
       "      <td>-0.170072</td>\n",
       "      <td>0.158526</td>\n",
       "      <td>-0.224073</td>\n",
       "      <td>0.039275</td>\n",
       "      <td>-0.476381</td>\n",
       "      <td>-0.135257</td>\n",
       "      <td>0.139242</td>\n",
       "      <td>256</td>\n",
       "      <td>256</td>\n",
       "      <td>248</td>\n",
       "      <td>8</td>\n",
       "      <td>8.439798</td>\n",
       "      <td>479.53592</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>257.255250</td>\n",
       "      <td>1.545096</td>\n",
       "      <td>0.007535</td>\n",
       "      <td>0.107947</td>\n",
       "      <td>29</td>\n",
       "      <td>13</td>\n",
       "      <td>0.040495</td>\n",
       "      <td>0</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>273</td>\n",
       "      <td>2.327696e+06</td>\n",
       "      <td>1.535212e+04</td>\n",
       "      <td>151.620500</td>\n",
       "      <td>9.771050</td>\n",
       "      <td>29</td>\n",
       "      <td>1.067714e+06</td>\n",
       "      <td>2.438711e+04</td>\n",
       "      <td>43.781890</td>\n",
       "      <td>10.280252</td>\n",
       "      <td>29</td>\n",
       "      <td>1.771347e+06</td>\n",
       "      <td>2.818132e+04</td>\n",
       "      <td>62.855377</td>\n",
       "      <td>9.141161</td>\n",
       "      <td>1.219687</td>\n",
       "      <td>0</td>\n",
       "      <td>1.139091</td>\n",
       "      <td>0.509202</td>\n",
       "      <td>0.629889</td>\n",
       "      <td>33.736211</td>\n",
       "      <td>3.528210</td>\n",
       "      <td>10</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>50.494427</td>\n",
       "      <td>-9.273851</td>\n",
       "      <td>304.210325</td>\n",
       "      <td>31.059154</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5020.4500</td>\n",
       "      <td>4903.4775</td>\n",
       "      <td>5149.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>44.242380</td>\n",
       "      <td>42.060850</td>\n",
       "      <td>46.378365</td>\n",
       "      <td>1120.320600</td>\n",
       "      <td>892.38890</td>\n",
       "      <td>1348.252200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>19</td>\n",
       "      <td>V733 Aql</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7909</td>\n",
       "      <td>8.333</td>\n",
       "      <td>7.936</td>\n",
       "      <td>7.851</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.72</td>\n",
       "      <td>0.07</td>\n",
       "      <td>6329</td>\n",
       "      <td>410</td>\n",
       "      <td>c</td>\n",
       "      <td>LII</td>\n",
       "      <td>299.38759</td>\n",
       "      <td>11.04368</td>\n",
       "      <td>0.073997</td>\n",
       "      <td>V* V733 Aql</td>\n",
       "      <td>299.387593</td>\n",
       "      <td>11.043678</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>56</td>\n",
       "      <td>19 57 33.02235</td>\n",
       "      <td>+11 02 37.2413</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>28.700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>K0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3004</td>\n",
       "      <td>0.11</td>\n",
       "      <td>-4.27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.960</td>\n",
       "      <td>10.090</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.278</td>\n",
       "      <td>7.902</td>\n",
       "      <td>7.820</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.066197</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>4303770918113986304</td>\n",
       "      <td>6.179260</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1746.899271</td>\n",
       "      <td>0.000037</td>\n",
       "      <td>1746.843476</td>\n",
       "      <td>0.000037</td>\n",
       "      <td>1746.903861</td>\n",
       "      <td>0.000037</td>\n",
       "      <td>9.718406</td>\n",
       "      <td>0.000122</td>\n",
       "      <td>10.215195</td>\n",
       "      <td>0.000623</td>\n",
       "      <td>9.104276</td>\n",
       "      <td>0.000246</td>\n",
       "      <td>0.370874</td>\n",
       "      <td>0.000429</td>\n",
       "      <td>0.438800</td>\n",
       "      <td>0.002677</td>\n",
       "      <td>0.273982</td>\n",
       "      <td>0.001305</td>\n",
       "      <td>0.382353</td>\n",
       "      <td>0.233787</td>\n",
       "      <td>0.294152</td>\n",
       "      <td>0.001101</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.842077</td>\n",
       "      <td>0.004736</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>31</td>\n",
       "      <td>27</td>\n",
       "      <td>28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>190</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4306046593639867776</td>\n",
       "      <td>4306046593639867776</td>\n",
       "      <td>121071797</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>288.658723</td>\n",
       "      <td>0.036840</td>\n",
       "      <td>6.482522</td>\n",
       "      <td>0.037573</td>\n",
       "      <td>0.441209</td>\n",
       "      <td>0.045593</td>\n",
       "      <td>9.677101</td>\n",
       "      <td>-3.968451</td>\n",
       "      <td>0.075105</td>\n",
       "      <td>-7.072703</td>\n",
       "      <td>0.071102</td>\n",
       "      <td>0.377821</td>\n",
       "      <td>-0.006044</td>\n",
       "      <td>-0.195810</td>\n",
       "      <td>-0.287910</td>\n",
       "      <td>-0.138991</td>\n",
       "      <td>-0.196918</td>\n",
       "      <td>-0.388362</td>\n",
       "      <td>-0.413904</td>\n",
       "      <td>0.047385</td>\n",
       "      <td>0.315276</td>\n",
       "      <td>156</td>\n",
       "      <td>156</td>\n",
       "      <td>155</td>\n",
       "      <td>1</td>\n",
       "      <td>4.955089</td>\n",
       "      <td>252.28984</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>364.753450</td>\n",
       "      <td>1.410186</td>\n",
       "      <td>0.008667</td>\n",
       "      <td>0.270649</td>\n",
       "      <td>18</td>\n",
       "      <td>11</td>\n",
       "      <td>0.053930</td>\n",
       "      <td>0</td>\n",
       "      <td>18</td>\n",
       "      <td>False</td>\n",
       "      <td>156</td>\n",
       "      <td>2.665410e+05</td>\n",
       "      <td>5.488613e+03</td>\n",
       "      <td>48.562546</td>\n",
       "      <td>12.123956</td>\n",
       "      <td>18</td>\n",
       "      <td>8.654657e+04</td>\n",
       "      <td>6.067018e+03</td>\n",
       "      <td>14.265091</td>\n",
       "      <td>13.008264</td>\n",
       "      <td>18</td>\n",
       "      <td>2.735251e+05</td>\n",
       "      <td>1.529874e+04</td>\n",
       "      <td>17.878925</td>\n",
       "      <td>11.169427</td>\n",
       "      <td>1.350905</td>\n",
       "      <td>0</td>\n",
       "      <td>1.838837</td>\n",
       "      <td>0.884308</td>\n",
       "      <td>0.954529</td>\n",
       "      <td>28.949563</td>\n",
       "      <td>8.594248</td>\n",
       "      <td>6</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>41.348207</td>\n",
       "      <td>-2.170403</td>\n",
       "      <td>291.218018</td>\n",
       "      <td>28.557761</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3940.2500</td>\n",
       "      <td>3877.0000</td>\n",
       "      <td>4100.0000</td>\n",
       "      <td>0.9277</td>\n",
       "      <td>0.8319</td>\n",
       "      <td>1.3460</td>\n",
       "      <td>0.4655</td>\n",
       "      <td>0.3943</td>\n",
       "      <td>0.6201</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>20.783487</td>\n",
       "      <td>19.195448</td>\n",
       "      <td>21.467148</td>\n",
       "      <td>93.805140</td>\n",
       "      <td>80.01805</td>\n",
       "      <td>107.592224</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>17</td>\n",
       "      <td>V526 Aql</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.6244</td>\n",
       "      <td>9.609</td>\n",
       "      <td>9.174</td>\n",
       "      <td>8.981</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.47</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.20</td>\n",
       "      <td>0.07</td>\n",
       "      <td>5481</td>\n",
       "      <td>386</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>288.65879</td>\n",
       "      <td>6.48261</td>\n",
       "      <td>0.395579</td>\n",
       "      <td>V* V526 Aql</td>\n",
       "      <td>288.658741</td>\n",
       "      <td>6.482553</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>15</td>\n",
       "      <td>19 14 38.09773</td>\n",
       "      <td>+06 28 57.1900</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |*  |IR</td>\n",
       "      <td>28.950</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4412</td>\n",
       "      <td>-3.97</td>\n",
       "      <td>-7.07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.795</td>\n",
       "      <td>9.225</td>\n",
       "      <td>9.029</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.125705</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4306046593639867776</td>\n",
       "      <td>6.884410</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1708.934662</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1708.901599</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1708.863837</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>12.110727</td>\n",
       "      <td>0.000098</td>\n",
       "      <td>13.002258</td>\n",
       "      <td>0.000405</td>\n",
       "      <td>11.170273</td>\n",
       "      <td>0.000218</td>\n",
       "      <td>0.845485</td>\n",
       "      <td>0.000475</td>\n",
       "      <td>0.985745</td>\n",
       "      <td>0.002866</td>\n",
       "      <td>0.766861</td>\n",
       "      <td>0.001539</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.318457</td>\n",
       "      <td>0.000601</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.157518</td>\n",
       "      <td>0.003045</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>17</td>\n",
       "      <td>17</td>\n",
       "      <td>17</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>W_VIR</td>\n",
       "      <td>NOT_APPLICABLE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>191</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4307944836090489600</td>\n",
       "      <td>4307944836090489600</td>\n",
       "      <td>410680641</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>290.259783</td>\n",
       "      <td>0.047114</td>\n",
       "      <td>8.516328</td>\n",
       "      <td>0.045980</td>\n",
       "      <td>0.553951</td>\n",
       "      <td>0.055081</td>\n",
       "      <td>10.057045</td>\n",
       "      <td>2.141418</td>\n",
       "      <td>0.114079</td>\n",
       "      <td>-1.653254</td>\n",
       "      <td>0.100460</td>\n",
       "      <td>0.054811</td>\n",
       "      <td>-0.125963</td>\n",
       "      <td>-0.466803</td>\n",
       "      <td>0.098358</td>\n",
       "      <td>0.050932</td>\n",
       "      <td>0.063088</td>\n",
       "      <td>-0.367666</td>\n",
       "      <td>0.154772</td>\n",
       "      <td>-0.237071</td>\n",
       "      <td>-0.169912</td>\n",
       "      <td>113</td>\n",
       "      <td>113</td>\n",
       "      <td>113</td>\n",
       "      <td>0</td>\n",
       "      <td>3.826906</td>\n",
       "      <td>173.65564</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>221.825600</td>\n",
       "      <td>1.402531</td>\n",
       "      <td>0.011904</td>\n",
       "      <td>0.160602</td>\n",
       "      <td>13</td>\n",
       "      <td>9</td>\n",
       "      <td>0.071638</td>\n",
       "      <td>0</td>\n",
       "      <td>17</td>\n",
       "      <td>False</td>\n",
       "      <td>141</td>\n",
       "      <td>3.418605e+06</td>\n",
       "      <td>4.756432e+04</td>\n",
       "      <td>71.873310</td>\n",
       "      <td>9.353744</td>\n",
       "      <td>15</td>\n",
       "      <td>1.014216e+06</td>\n",
       "      <td>5.985060e+04</td>\n",
       "      <td>16.945797</td>\n",
       "      <td>10.336062</td>\n",
       "      <td>17</td>\n",
       "      <td>3.471368e+06</td>\n",
       "      <td>1.274692e+05</td>\n",
       "      <td>27.232983</td>\n",
       "      <td>8.410668</td>\n",
       "      <td>1.312109</td>\n",
       "      <td>0</td>\n",
       "      <td>1.925393</td>\n",
       "      <td>0.982318</td>\n",
       "      <td>0.943075</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>43.889535</td>\n",
       "      <td>-2.627362</td>\n",
       "      <td>293.375093</td>\n",
       "      <td>30.326294</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4000.4402</td>\n",
       "      <td>3941.7100</td>\n",
       "      <td>4161.3525</td>\n",
       "      <td>1.1642</td>\n",
       "      <td>0.7189</td>\n",
       "      <td>2.1490</td>\n",
       "      <td>0.5300</td>\n",
       "      <td>0.3229</td>\n",
       "      <td>1.1103</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>56.461517</td>\n",
       "      <td>52.179400</td>\n",
       "      <td>58.156567</td>\n",
       "      <td>735.581670</td>\n",
       "      <td>636.92590</td>\n",
       "      <td>834.237400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>18</td>\n",
       "      <td>V600 Aql</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8596</td>\n",
       "      <td>6.960</td>\n",
       "      <td>6.447</td>\n",
       "      <td>6.206</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.13</td>\n",
       "      <td>0.05</td>\n",
       "      <td>6827</td>\n",
       "      <td>446</td>\n",
       "      <td>a</td>\n",
       "      <td>LII</td>\n",
       "      <td>290.25978</td>\n",
       "      <td>8.51633</td>\n",
       "      <td>0.012686</td>\n",
       "      <td>V* V600 Aql</td>\n",
       "      <td>290.259773</td>\n",
       "      <td>8.516335</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>79</td>\n",
       "      <td>19 21 02.34563</td>\n",
       "      <td>+08 30 58.8057</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |*  |IR</td>\n",
       "      <td>2.100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8v</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.5540</td>\n",
       "      <td>2.14</td>\n",
       "      <td>-1.65</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.450</td>\n",
       "      <td>10.090</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.876</td>\n",
       "      <td>6.366</td>\n",
       "      <td>6.146</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.041933</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4307944836090489600</td>\n",
       "      <td>7.239958</td>\n",
       "      <td>0.000092</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1706.740754</td>\n",
       "      <td>0.000131</td>\n",
       "      <td>1706.698017</td>\n",
       "      <td>0.000131</td>\n",
       "      <td>1858.823018</td>\n",
       "      <td>0.000131</td>\n",
       "      <td>9.349115</td>\n",
       "      <td>0.000299</td>\n",
       "      <td>10.329634</td>\n",
       "      <td>0.000854</td>\n",
       "      <td>8.395448</td>\n",
       "      <td>0.000683</td>\n",
       "      <td>0.523119</td>\n",
       "      <td>0.000948</td>\n",
       "      <td>0.687555</td>\n",
       "      <td>0.002693</td>\n",
       "      <td>0.433494</td>\n",
       "      <td>0.001368</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.465389</td>\n",
       "      <td>0.003268</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.823177</td>\n",
       "      <td>0.014168</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>16</td>\n",
       "      <td>14</td>\n",
       "      <td>14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4312361436842603520</td>\n",
       "      <td>4312361436842603520</td>\n",
       "      <td>306557642</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>287.316627</td>\n",
       "      <td>0.044410</td>\n",
       "      <td>10.552466</td>\n",
       "      <td>0.042136</td>\n",
       "      <td>0.930370</td>\n",
       "      <td>0.056988</td>\n",
       "      <td>16.325720</td>\n",
       "      <td>0.261367</td>\n",
       "      <td>0.091553</td>\n",
       "      <td>-5.240083</td>\n",
       "      <td>0.087243</td>\n",
       "      <td>0.292824</td>\n",
       "      <td>-0.462277</td>\n",
       "      <td>0.114338</td>\n",
       "      <td>-0.082631</td>\n",
       "      <td>-0.288819</td>\n",
       "      <td>0.065497</td>\n",
       "      <td>-0.292887</td>\n",
       "      <td>-0.311609</td>\n",
       "      <td>0.109402</td>\n",
       "      <td>0.109418</td>\n",
       "      <td>159</td>\n",
       "      <td>159</td>\n",
       "      <td>159</td>\n",
       "      <td>0</td>\n",
       "      <td>6.837085</td>\n",
       "      <td>306.79540</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>118.630510</td>\n",
       "      <td>1.469209</td>\n",
       "      <td>0.008142</td>\n",
       "      <td>0.116126</td>\n",
       "      <td>18</td>\n",
       "      <td>10</td>\n",
       "      <td>0.055588</td>\n",
       "      <td>0</td>\n",
       "      <td>22</td>\n",
       "      <td>False</td>\n",
       "      <td>177</td>\n",
       "      <td>1.484717e+07</td>\n",
       "      <td>2.339486e+05</td>\n",
       "      <td>63.463383</td>\n",
       "      <td>7.759257</td>\n",
       "      <td>20</td>\n",
       "      <td>4.831863e+06</td>\n",
       "      <td>3.087876e+05</td>\n",
       "      <td>15.647851</td>\n",
       "      <td>8.641102</td>\n",
       "      <td>20</td>\n",
       "      <td>1.317246e+07</td>\n",
       "      <td>5.058032e+05</td>\n",
       "      <td>26.042665</td>\n",
       "      <td>6.962752</td>\n",
       "      <td>1.212644</td>\n",
       "      <td>0</td>\n",
       "      <td>1.678349</td>\n",
       "      <td>0.881845</td>\n",
       "      <td>0.796505</td>\n",
       "      <td>-13.281267</td>\n",
       "      <td>6.533926</td>\n",
       "      <td>8</td>\n",
       "      <td>4250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>44.343138</td>\n",
       "      <td>0.888845</td>\n",
       "      <td>290.366522</td>\n",
       "      <td>32.775512</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4030.0000</td>\n",
       "      <td>3974.0000</td>\n",
       "      <td>4220.1553</td>\n",
       "      <td>0.6787</td>\n",
       "      <td>0.2446</td>\n",
       "      <td>2.0082</td>\n",
       "      <td>0.3340</td>\n",
       "      <td>0.1126</td>\n",
       "      <td>0.9338</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>68.360380</td>\n",
       "      <td>62.338696</td>\n",
       "      <td>70.300570</td>\n",
       "      <td>1110.513500</td>\n",
       "      <td>1018.31070</td>\n",
       "      <td>1202.716400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>5</td>\n",
       "      <td>FM Aql</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7863</td>\n",
       "      <td>5.657</td>\n",
       "      <td>5.210</td>\n",
       "      <td>5.007</td>\n",
       "      <td>0.24</td>\n",
       "      <td>0.21</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.76</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7326</td>\n",
       "      <td>450</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>287.31662</td>\n",
       "      <td>10.55249</td>\n",
       "      <td>0.089784</td>\n",
       "      <td>V* FM Aql</td>\n",
       "      <td>287.316626</td>\n",
       "      <td>10.552489</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>159</td>\n",
       "      <td>19 09 15.99017</td>\n",
       "      <td>+10 33 08.9588</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-5.100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F2I</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.9304</td>\n",
       "      <td>0.26</td>\n",
       "      <td>-5.24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.050</td>\n",
       "      <td>7.890</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.790</td>\n",
       "      <td>5.257</td>\n",
       "      <td>5.029</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.081322</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4312361436842603520</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.982445</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1754.687479</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>1754.663445</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>1754.247872</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>7.654802</td>\n",
       "      <td>0.000269</td>\n",
       "      <td>8.435673</td>\n",
       "      <td>0.000753</td>\n",
       "      <td>6.839145</td>\n",
       "      <td>0.000733</td>\n",
       "      <td>0.520362</td>\n",
       "      <td>0.000736</td>\n",
       "      <td>0.706266</td>\n",
       "      <td>0.001937</td>\n",
       "      <td>0.418820</td>\n",
       "      <td>0.001220</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.287825</td>\n",
       "      <td>0.001285</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.553196</td>\n",
       "      <td>0.004980</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>18</td>\n",
       "      <td>17</td>\n",
       "      <td>15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>193</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4313179507891570304</td>\n",
       "      <td>4313179507891570304</td>\n",
       "      <td>1296337730</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>287.501725</td>\n",
       "      <td>0.039595</td>\n",
       "      <td>12.536536</td>\n",
       "      <td>0.032956</td>\n",
       "      <td>0.477475</td>\n",
       "      <td>0.050336</td>\n",
       "      <td>9.485855</td>\n",
       "      <td>-1.703734</td>\n",
       "      <td>0.074834</td>\n",
       "      <td>-4.948063</td>\n",
       "      <td>0.062508</td>\n",
       "      <td>0.115456</td>\n",
       "      <td>-0.389616</td>\n",
       "      <td>0.072444</td>\n",
       "      <td>-0.356129</td>\n",
       "      <td>-0.193048</td>\n",
       "      <td>-0.438611</td>\n",
       "      <td>0.032782</td>\n",
       "      <td>-0.044184</td>\n",
       "      <td>-0.115703</td>\n",
       "      <td>-0.000207</td>\n",
       "      <td>241</td>\n",
       "      <td>241</td>\n",
       "      <td>233</td>\n",
       "      <td>8</td>\n",
       "      <td>10.416735</td>\n",
       "      <td>529.45123</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>295.585820</td>\n",
       "      <td>1.369217</td>\n",
       "      <td>0.009679</td>\n",
       "      <td>-0.103494</td>\n",
       "      <td>27</td>\n",
       "      <td>11</td>\n",
       "      <td>0.046328</td>\n",
       "      <td>0</td>\n",
       "      <td>29</td>\n",
       "      <td>True</td>\n",
       "      <td>249</td>\n",
       "      <td>1.811067e+06</td>\n",
       "      <td>1.613936e+04</td>\n",
       "      <td>112.214264</td>\n",
       "      <td>10.043529</td>\n",
       "      <td>29</td>\n",
       "      <td>4.717482e+05</td>\n",
       "      <td>1.836977e+04</td>\n",
       "      <td>25.680681</td>\n",
       "      <td>11.167112</td>\n",
       "      <td>28</td>\n",
       "      <td>2.052218e+06</td>\n",
       "      <td>5.190495e+04</td>\n",
       "      <td>39.538006</td>\n",
       "      <td>8.981361</td>\n",
       "      <td>1.393635</td>\n",
       "      <td>0</td>\n",
       "      <td>2.185751</td>\n",
       "      <td>1.123583</td>\n",
       "      <td>1.062168</td>\n",
       "      <td>7.487814</td>\n",
       "      <td>0.931820</td>\n",
       "      <td>4</td>\n",
       "      <td>5250.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>46.187875</td>\n",
       "      <td>1.642552</td>\n",
       "      <td>290.923976</td>\n",
       "      <td>34.713192</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3646.5000</td>\n",
       "      <td>3541.0000</td>\n",
       "      <td>4104.6304</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>64.659550</td>\n",
       "      <td>51.031345</td>\n",
       "      <td>68.569860</td>\n",
       "      <td>665.985840</td>\n",
       "      <td>569.49023</td>\n",
       "      <td>762.481450</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>20</td>\n",
       "      <td>V916 Aql</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1284</td>\n",
       "      <td>7.367</td>\n",
       "      <td>6.764</td>\n",
       "      <td>6.515</td>\n",
       "      <td>0.39</td>\n",
       "      <td>0.36</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.28</td>\n",
       "      <td>0.05</td>\n",
       "      <td>6311</td>\n",
       "      <td>428</td>\n",
       "      <td>a</td>\n",
       "      <td>LIII</td>\n",
       "      <td>287.50172</td>\n",
       "      <td>12.53654</td>\n",
       "      <td>0.020897</td>\n",
       "      <td>V* V916 Aql</td>\n",
       "      <td>287.501732</td>\n",
       "      <td>12.536558</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>39</td>\n",
       "      <td>19 10 00.41570</td>\n",
       "      <td>+12 32 11.6074</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>*  |IR |cC*|V* |Ce*</td>\n",
       "      <td>17.900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4775</td>\n",
       "      <td>-1.70</td>\n",
       "      <td>-4.95</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.220</td>\n",
       "      <td>10.860</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.561</td>\n",
       "      <td>6.947</td>\n",
       "      <td>6.723</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.081114</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>4313179507891570304</td>\n",
       "      <td>13.439993</td>\n",
       "      <td>0.000215</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1685.407427</td>\n",
       "      <td>0.000303</td>\n",
       "      <td>1685.212341</td>\n",
       "      <td>0.000303</td>\n",
       "      <td>1685.646449</td>\n",
       "      <td>0.000303</td>\n",
       "      <td>10.083503</td>\n",
       "      <td>0.001358</td>\n",
       "      <td>11.197573</td>\n",
       "      <td>0.001906</td>\n",
       "      <td>9.074700</td>\n",
       "      <td>0.000558</td>\n",
       "      <td>0.987329</td>\n",
       "      <td>0.010693</td>\n",
       "      <td>1.475969</td>\n",
       "      <td>0.016403</td>\n",
       "      <td>0.964800</td>\n",
       "      <td>0.002113</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.366303</td>\n",
       "      <td>0.004560</td>\n",
       "      <td>0.108769</td>\n",
       "      <td>0.002795</td>\n",
       "      <td>4.960789</td>\n",
       "      <td>0.028899</td>\n",
       "      <td>3.625536</td>\n",
       "      <td>0.065815</td>\n",
       "      <td>26</td>\n",
       "      <td>23</td>\n",
       "      <td>24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>194</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4505300988492333312</td>\n",
       "      <td>4505300988492333312</td>\n",
       "      <td>480751108</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>281.475412</td>\n",
       "      <td>0.033451</td>\n",
       "      <td>12.336098</td>\n",
       "      <td>0.045599</td>\n",
       "      <td>0.233258</td>\n",
       "      <td>0.047424</td>\n",
       "      <td>4.918619</td>\n",
       "      <td>-4.218347</td>\n",
       "      <td>0.070113</td>\n",
       "      <td>-10.097625</td>\n",
       "      <td>0.083652</td>\n",
       "      <td>0.178491</td>\n",
       "      <td>-0.013072</td>\n",
       "      <td>-0.132089</td>\n",
       "      <td>-0.144583</td>\n",
       "      <td>-0.415754</td>\n",
       "      <td>-0.046691</td>\n",
       "      <td>-0.383805</td>\n",
       "      <td>-0.212922</td>\n",
       "      <td>0.200035</td>\n",
       "      <td>0.161474</td>\n",
       "      <td>138</td>\n",
       "      <td>138</td>\n",
       "      <td>135</td>\n",
       "      <td>3</td>\n",
       "      <td>4.533235</td>\n",
       "      <td>216.71365</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>246.958680</td>\n",
       "      <td>1.498945</td>\n",
       "      <td>0.011985</td>\n",
       "      <td>0.126447</td>\n",
       "      <td>16</td>\n",
       "      <td>12</td>\n",
       "      <td>0.054587</td>\n",
       "      <td>0</td>\n",
       "      <td>28</td>\n",
       "      <td>False</td>\n",
       "      <td>213</td>\n",
       "      <td>2.322686e+06</td>\n",
       "      <td>2.546840e+04</td>\n",
       "      <td>91.198740</td>\n",
       "      <td>9.773389</td>\n",
       "      <td>27</td>\n",
       "      <td>9.626976e+05</td>\n",
       "      <td>4.060846e+04</td>\n",
       "      <td>23.706827</td>\n",
       "      <td>10.392663</td>\n",
       "      <td>26</td>\n",
       "      <td>2.065583e+06</td>\n",
       "      <td>4.707576e+04</td>\n",
       "      <td>43.877850</td>\n",
       "      <td>8.974313</td>\n",
       "      <td>1.303784</td>\n",
       "      <td>0</td>\n",
       "      <td>1.418350</td>\n",
       "      <td>0.619274</td>\n",
       "      <td>0.799076</td>\n",
       "      <td>97.002038</td>\n",
       "      <td>8.964545</td>\n",
       "      <td>2</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>43.339767</td>\n",
       "      <td>6.800906</td>\n",
       "      <td>283.764368</td>\n",
       "      <td>35.228673</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4472.6665</td>\n",
       "      <td>4421.1900</td>\n",
       "      <td>4760.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>221</td>\n",
       "      <td>BB Her</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8755</td>\n",
       "      <td>8.076</td>\n",
       "      <td>7.675</td>\n",
       "      <td>7.538</td>\n",
       "      <td>0.26</td>\n",
       "      <td>0.23</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.66</td>\n",
       "      <td>0.06</td>\n",
       "      <td>5950</td>\n",
       "      <td>418</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>281.47543</td>\n",
       "      <td>12.33614</td>\n",
       "      <td>0.162569</td>\n",
       "      <td>V* BB Her</td>\n",
       "      <td>281.475431</td>\n",
       "      <td>12.336142</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>73</td>\n",
       "      <td>18 45 54.10346</td>\n",
       "      <td>+12 20 10.1101</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR |Ce*</td>\n",
       "      <td>88.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2333</td>\n",
       "      <td>-4.22</td>\n",
       "      <td>-10.10</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.100</td>\n",
       "      <td>10.020</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.083</td>\n",
       "      <td>7.649</td>\n",
       "      <td>7.508</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.169622</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>4505300988492333312</td>\n",
       "      <td>6.831755</td>\n",
       "      <td>0.000082</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1706.330840</td>\n",
       "      <td>0.000116</td>\n",
       "      <td>1706.202467</td>\n",
       "      <td>0.000116</td>\n",
       "      <td>1706.722538</td>\n",
       "      <td>0.000116</td>\n",
       "      <td>9.753723</td>\n",
       "      <td>0.000196</td>\n",
       "      <td>10.358858</td>\n",
       "      <td>0.000650</td>\n",
       "      <td>8.997485</td>\n",
       "      <td>0.000284</td>\n",
       "      <td>0.455279</td>\n",
       "      <td>0.000402</td>\n",
       "      <td>0.592121</td>\n",
       "      <td>0.001187</td>\n",
       "      <td>0.370000</td>\n",
       "      <td>0.000681</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.477959</td>\n",
       "      <td>0.002508</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.511371</td>\n",
       "      <td>0.004614</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>23</td>\n",
       "      <td>21</td>\n",
       "      <td>20</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>195</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 4514145288240593408</td>\n",
       "      <td>4514145288240593408</td>\n",
       "      <td>1335366512</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>284.561446</td>\n",
       "      <td>0.081703</td>\n",
       "      <td>17.360874</td>\n",
       "      <td>0.086114</td>\n",
       "      <td>1.809758</td>\n",
       "      <td>0.107038</td>\n",
       "      <td>16.907692</td>\n",
       "      <td>-1.067562</td>\n",
       "      <td>0.157799</td>\n",
       "      <td>-9.692630</td>\n",
       "      <td>0.166947</td>\n",
       "      <td>0.258503</td>\n",
       "      <td>0.103438</td>\n",
       "      <td>0.113899</td>\n",
       "      <td>-0.427685</td>\n",
       "      <td>-0.073229</td>\n",
       "      <td>-0.412756</td>\n",
       "      <td>-0.085009</td>\n",
       "      <td>-0.166191</td>\n",
       "      <td>-0.389717</td>\n",
       "      <td>0.257756</td>\n",
       "      <td>393</td>\n",
       "      <td>393</td>\n",
       "      <td>353</td>\n",
       "      <td>40</td>\n",
       "      <td>65.832740</td>\n",
       "      <td>6571.56150</td>\n",
       "      <td>0.489952</td>\n",
       "      <td>9.953280e+01</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>3.763247</td>\n",
       "      <td>1.641871</td>\n",
       "      <td>0.023324</td>\n",
       "      <td>0.004681</td>\n",
       "      <td>46</td>\n",
       "      <td>13</td>\n",
       "      <td>0.099495</td>\n",
       "      <td>0</td>\n",
       "      <td>49</td>\n",
       "      <td>False</td>\n",
       "      <td>400</td>\n",
       "      <td>1.652037e+08</td>\n",
       "      <td>6.821180e+05</td>\n",
       "      <td>242.192320</td>\n",
       "      <td>5.143316</td>\n",
       "      <td>40</td>\n",
       "      <td>7.083167e+07</td>\n",
       "      <td>2.843675e+06</td>\n",
       "      <td>24.908497</td>\n",
       "      <td>5.725820</td>\n",
       "      <td>38</td>\n",
       "      <td>1.185033e+08</td>\n",
       "      <td>1.209207e+06</td>\n",
       "      <td>98.000820</td>\n",
       "      <td>4.577594</td>\n",
       "      <td>1.146069</td>\n",
       "      <td>0</td>\n",
       "      <td>1.148225</td>\n",
       "      <td>0.582503</td>\n",
       "      <td>0.565722</td>\n",
       "      <td>-14.748833</td>\n",
       "      <td>1.894145</td>\n",
       "      <td>21</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>49.204962</td>\n",
       "      <td>6.363258</td>\n",
       "      <td>288.223142</td>\n",
       "      <td>39.883414</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4900.0000</td>\n",
       "      <td>4811.0000</td>\n",
       "      <td>4941.6665</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>65.833200</td>\n",
       "      <td>64.727715</td>\n",
       "      <td>68.291466</td>\n",
       "      <td>2250.966300</td>\n",
       "      <td>2091.83800</td>\n",
       "      <td>2410.094700</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>4</td>\n",
       "      <td>FF Aql</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.6504</td>\n",
       "      <td>4.030</td>\n",
       "      <td>3.741</td>\n",
       "      <td>3.525</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.10</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.71</td>\n",
       "      <td>0.37</td>\n",
       "      <td>7592</td>\n",
       "      <td>455</td>\n",
       "      <td>c*</td>\n",
       "      <td>LII</td>\n",
       "      <td>284.56145</td>\n",
       "      <td>17.36091</td>\n",
       "      <td>0.131328</td>\n",
       "      <td>HD 176155A</td>\n",
       "      <td>284.561447</td>\n",
       "      <td>17.360914</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2</td>\n",
       "      <td>18 58 14.7472</td>\n",
       "      <td>+17 21 39.290</td>\n",
       "      <td>SB*</td>\n",
       "      <td>IR |*  |SB*|** |**</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.6400</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>-9.33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.081</td>\n",
       "      <td>5.353</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.030</td>\n",
       "      <td>3.740</td>\n",
       "      <td>3.520</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.144658</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>4514145288240593408</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.471146</td>\n",
       "      <td>0.000176</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1750.028472</td>\n",
       "      <td>0.000250</td>\n",
       "      <td>1749.970727</td>\n",
       "      <td>0.000250</td>\n",
       "      <td>1749.993661</td>\n",
       "      <td>0.000250</td>\n",
       "      <td>5.109919</td>\n",
       "      <td>0.001024</td>\n",
       "      <td>5.588660</td>\n",
       "      <td>0.000590</td>\n",
       "      <td>4.571758</td>\n",
       "      <td>0.001754</td>\n",
       "      <td>0.290166</td>\n",
       "      <td>0.003059</td>\n",
       "      <td>0.319313</td>\n",
       "      <td>0.002005</td>\n",
       "      <td>0.181722</td>\n",
       "      <td>0.006188</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.179074</td>\n",
       "      <td>0.010001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.177493</td>\n",
       "      <td>0.055332</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>25</td>\n",
       "      <td>25</td>\n",
       "      <td>25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>196</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5235910694044165760</td>\n",
       "      <td>5235910694044165760</td>\n",
       "      <td>1651169640</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>176.136937</td>\n",
       "      <td>0.024629</td>\n",
       "      <td>-67.305250</td>\n",
       "      <td>0.026206</td>\n",
       "      <td>0.680675</td>\n",
       "      <td>0.031565</td>\n",
       "      <td>21.564470</td>\n",
       "      <td>-6.751979</td>\n",
       "      <td>0.050844</td>\n",
       "      <td>-0.942527</td>\n",
       "      <td>0.047639</td>\n",
       "      <td>-0.047951</td>\n",
       "      <td>-0.183205</td>\n",
       "      <td>-0.325879</td>\n",
       "      <td>0.023829</td>\n",
       "      <td>0.200794</td>\n",
       "      <td>0.099845</td>\n",
       "      <td>-0.154074</td>\n",
       "      <td>0.218211</td>\n",
       "      <td>0.156634</td>\n",
       "      <td>0.010515</td>\n",
       "      <td>239</td>\n",
       "      <td>239</td>\n",
       "      <td>235</td>\n",
       "      <td>4</td>\n",
       "      <td>-0.164255</td>\n",
       "      <td>225.83585</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>223.327440</td>\n",
       "      <td>1.538004</td>\n",
       "      <td>0.006936</td>\n",
       "      <td>-0.075671</td>\n",
       "      <td>27</td>\n",
       "      <td>18</td>\n",
       "      <td>0.036251</td>\n",
       "      <td>0</td>\n",
       "      <td>30</td>\n",
       "      <td>True</td>\n",
       "      <td>264</td>\n",
       "      <td>5.671616e+06</td>\n",
       "      <td>4.909212e+04</td>\n",
       "      <td>115.530080</td>\n",
       "      <td>8.804099</td>\n",
       "      <td>27</td>\n",
       "      <td>2.568371e+06</td>\n",
       "      <td>9.838260e+04</td>\n",
       "      <td>26.105947</td>\n",
       "      <td>9.327244</td>\n",
       "      <td>29</td>\n",
       "      <td>4.573443e+06</td>\n",
       "      <td>1.140002e+05</td>\n",
       "      <td>40.117867</td>\n",
       "      <td>8.111312</td>\n",
       "      <td>1.259220</td>\n",
       "      <td>0</td>\n",
       "      <td>1.215932</td>\n",
       "      <td>0.523145</td>\n",
       "      <td>0.692787</td>\n",
       "      <td>-2.679308</td>\n",
       "      <td>9.374521</td>\n",
       "      <td>4</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>2.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>296.530921</td>\n",
       "      <td>-5.268526</td>\n",
       "      <td>221.712985</td>\n",
       "      <td>-58.957416</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4917.0000</td>\n",
       "      <td>4849.3250</td>\n",
       "      <td>5100.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>32.141150</td>\n",
       "      <td>29.875937</td>\n",
       "      <td>33.044506</td>\n",
       "      <td>544.024500</td>\n",
       "      <td>503.99810</td>\n",
       "      <td>584.050840</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>248</td>\n",
       "      <td>RT Mus</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.4894</td>\n",
       "      <td>7.181</td>\n",
       "      <td>6.809</td>\n",
       "      <td>6.660</td>\n",
       "      <td>0.12</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.50</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7464</td>\n",
       "      <td>447</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>176.13701</td>\n",
       "      <td>-67.30525</td>\n",
       "      <td>0.101319</td>\n",
       "      <td>V* RT Mus</td>\n",
       "      <td>176.137012</td>\n",
       "      <td>-67.305246</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>85</td>\n",
       "      <td>11 44 32.88298</td>\n",
       "      <td>-67 18 18.8866</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |*  |IR</td>\n",
       "      <td>-1.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.6807</td>\n",
       "      <td>-6.75</td>\n",
       "      <td>-0.94</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.690</td>\n",
       "      <td>8.570</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.025</td>\n",
       "      <td>6.727</td>\n",
       "      <td>6.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.105670</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5235910694044165760</td>\n",
       "      <td>3.086133</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1690.538185</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>1690.541636</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>1690.593934</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>8.701271</td>\n",
       "      <td>0.000346</td>\n",
       "      <td>9.224060</td>\n",
       "      <td>0.000477</td>\n",
       "      <td>8.064565</td>\n",
       "      <td>0.000342</td>\n",
       "      <td>0.636147</td>\n",
       "      <td>0.000900</td>\n",
       "      <td>0.796446</td>\n",
       "      <td>0.001915</td>\n",
       "      <td>0.459137</td>\n",
       "      <td>0.001298</td>\n",
       "      <td>0.078115</td>\n",
       "      <td>0.219752</td>\n",
       "      <td>0.369000</td>\n",
       "      <td>0.000984</td>\n",
       "      <td>0.163995</td>\n",
       "      <td>0.001184</td>\n",
       "      <td>4.199970</td>\n",
       "      <td>0.002539</td>\n",
       "      <td>2.084586</td>\n",
       "      <td>0.006531</td>\n",
       "      <td>30</td>\n",
       "      <td>25</td>\n",
       "      <td>28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>197</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5238808628736339584</td>\n",
       "      <td>5238808628736339584</td>\n",
       "      <td>1051704902</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>164.288338</td>\n",
       "      <td>0.025428</td>\n",
       "      <td>-65.134744</td>\n",
       "      <td>0.026673</td>\n",
       "      <td>0.265594</td>\n",
       "      <td>0.027140</td>\n",
       "      <td>9.786026</td>\n",
       "      <td>-5.717193</td>\n",
       "      <td>0.046859</td>\n",
       "      <td>2.453828</td>\n",
       "      <td>0.045153</td>\n",
       "      <td>-0.063618</td>\n",
       "      <td>0.007492</td>\n",
       "      <td>-0.494296</td>\n",
       "      <td>0.010548</td>\n",
       "      <td>0.289568</td>\n",
       "      <td>0.068825</td>\n",
       "      <td>-0.513265</td>\n",
       "      <td>0.202955</td>\n",
       "      <td>0.025673</td>\n",
       "      <td>-0.115020</td>\n",
       "      <td>254</td>\n",
       "      <td>254</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>218.677290</td>\n",
       "      <td>1.495427</td>\n",
       "      <td>0.006648</td>\n",
       "      <td>-0.017653</td>\n",
       "      <td>29</td>\n",
       "      <td>17</td>\n",
       "      <td>0.037792</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>False</td>\n",
       "      <td>278</td>\n",
       "      <td>4.247109e+06</td>\n",
       "      <td>6.634325e+04</td>\n",
       "      <td>64.017200</td>\n",
       "      <td>9.118133</td>\n",
       "      <td>32</td>\n",
       "      <td>1.839060e+06</td>\n",
       "      <td>1.219435e+05</td>\n",
       "      <td>15.081251</td>\n",
       "      <td>9.689898</td>\n",
       "      <td>30</td>\n",
       "      <td>3.946070e+06</td>\n",
       "      <td>1.780923e+05</td>\n",
       "      <td>22.157440</td>\n",
       "      <td>8.271508</td>\n",
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       "      <td>1.418390</td>\n",
       "      <td>0.571766</td>\n",
       "      <td>0.846624</td>\n",
       "      <td>-11.380968</td>\n",
       "      <td>17.356522</td>\n",
       "      <td>3</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>1.5</td>\n",
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       "      <td>VARIABLE</td>\n",
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       "      <td>212.355052</td>\n",
       "      <td>-61.369019</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5149.0000</td>\n",
       "      <td>4456.3335</td>\n",
       "      <td>5942.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>63.460876</td>\n",
       "      <td>47.652596</td>\n",
       "      <td>84.722050</td>\n",
       "      <td>2550.342000</td>\n",
       "      <td>2115.91970</td>\n",
       "      <td>2984.764400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>70</td>\n",
       "      <td>XX Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1963</td>\n",
       "      <td>7.176</td>\n",
       "      <td>6.745</td>\n",
       "      <td>6.566</td>\n",
       "      <td>0.20</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>12.72</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7423</td>\n",
       "      <td>406</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>164.28840</td>\n",
       "      <td>-65.13475</td>\n",
       "      <td>0.095961</td>\n",
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       "      <td>-65.134755</td>\n",
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       "      <td>90.0</td>\n",
       "      <td>84</td>\n",
       "      <td>10 57 09.21518</td>\n",
       "      <td>-65 08 05.1177</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-11.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.460</td>\n",
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       "      <td>0.096434</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5238808628736339584</td>\n",
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       "      <td>1661.063101</td>\n",
       "      <td>0.000466</td>\n",
       "      <td>1663.098293</td>\n",
       "      <td>0.000466</td>\n",
       "      <td>1661.238623</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>30</td>\n",
       "      <td>28</td>\n",
       "      <td>27</td>\n",
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       "      <td>DCEP</td>\n",
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       "      <td>FUNDAMENTAL</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>198</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5240441472232302848</td>\n",
       "      <td>5240441472232302848</td>\n",
       "      <td>1345845252</td>\n",
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       "      <td>284</td>\n",
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       "      <td>0.000000e+00</td>\n",
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       "      <td>True</td>\n",
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       "      <td>1.475557</td>\n",
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       "      <td>37</td>\n",
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       "      <td>4.970252e+06</td>\n",
       "      <td>4.403032e+04</td>\n",
       "      <td>112.882480</td>\n",
       "      <td>8.947420</td>\n",
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       "      <td>1.914018e+06</td>\n",
       "      <td>7.696035e+04</td>\n",
       "      <td>24.870176</td>\n",
       "      <td>9.646523</td>\n",
       "      <td>28</td>\n",
       "      <td>4.341653e+06</td>\n",
       "      <td>7.915996e+04</td>\n",
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       "      <td>200111.0</td>\n",
       "      <td>82.089760</td>\n",
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       "      <td>2051.61910</td>\n",
       "      <td>2693.612800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>71</td>\n",
       "      <td>XY Car</td>\n",
       "      <td>DCEP</td>\n",
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       "      <td>6.227</td>\n",
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       "      <td>11.99</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7402</td>\n",
       "      <td>429</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>165.56694</td>\n",
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       "      <td>0.093131</td>\n",
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       "      <td>90.0</td>\n",
       "      <td>80</td>\n",
       "      <td>11 02 16.06403</td>\n",
       "      <td>-64 15 46.4647</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-5.700</td>\n",
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       "      <td>G5</td>\n",
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       "      <td>0.093491</td>\n",
       "      <td>369295549951641967</td>\n",
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       "      <td>1661.429600</td>\n",
       "      <td>0.000119</td>\n",
       "      <td>1662.203473</td>\n",
       "      <td>0.000119</td>\n",
       "      <td>1662.620707</td>\n",
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       "      <td>0.034975</td>\n",
       "      <td>0.001167</td>\n",
       "      <td>0.136119</td>\n",
       "      <td>0.001220</td>\n",
       "      <td>4.402027</td>\n",
       "      <td>0.038730</td>\n",
       "      <td>1.098412</td>\n",
       "      <td>0.012732</td>\n",
       "      <td>36</td>\n",
       "      <td>32</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
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       "      <td>FUNDAMENTAL</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>199</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5245796334347122944</td>\n",
       "      <td>5245796334347122944</td>\n",
       "      <td>552283052</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>150.015328</td>\n",
       "      <td>0.023763</td>\n",
       "      <td>-66.276233</td>\n",
       "      <td>0.025744</td>\n",
       "      <td>0.857880</td>\n",
       "      <td>0.026276</td>\n",
       "      <td>32.648663</td>\n",
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       "      <td>0.052108</td>\n",
       "      <td>2.390055</td>\n",
       "      <td>0.049831</td>\n",
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       "      <td>-0.019266</td>\n",
       "      <td>-0.287191</td>\n",
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       "      <td>0.214770</td>\n",
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       "      <td>0.044910</td>\n",
       "      <td>-0.048714</td>\n",
       "      <td>0.075725</td>\n",
       "      <td>263</td>\n",
       "      <td>263</td>\n",
       "      <td>255</td>\n",
       "      <td>8</td>\n",
       "      <td>5.700086</td>\n",
       "      <td>399.43370</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>77.352230</td>\n",
       "      <td>1.569380</td>\n",
       "      <td>0.006535</td>\n",
       "      <td>0.059052</td>\n",
       "      <td>30</td>\n",
       "      <td>19</td>\n",
       "      <td>0.039423</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>False</td>\n",
       "      <td>301</td>\n",
       "      <td>1.056895e+07</td>\n",
       "      <td>3.531078e+04</td>\n",
       "      <td>299.312400</td>\n",
       "      <td>8.128285</td>\n",
       "      <td>34</td>\n",
       "      <td>5.165915e+06</td>\n",
       "      <td>6.720718e+04</td>\n",
       "      <td>76.865520</td>\n",
       "      <td>8.568521</td>\n",
       "      <td>34</td>\n",
       "      <td>7.516270e+06</td>\n",
       "      <td>5.508631e+04</td>\n",
       "      <td>136.445340</td>\n",
       "      <td>7.571914</td>\n",
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       "      <td>0.556371</td>\n",
       "      <td>18.077630</td>\n",
       "      <td>1.334912</td>\n",
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       "      <td>-8.911838</td>\n",
       "      <td>207.276726</td>\n",
       "      <td>-66.916176</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5644.7500</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>25.015999</td>\n",
       "      <td>21.878061</td>\n",
       "      <td>28.376286</td>\n",
       "      <td>572.412700</td>\n",
       "      <td>542.90936</td>\n",
       "      <td>601.916100</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>347</td>\n",
       "      <td>V397 Car</td>\n",
       "      <td>DCEPS</td>\n",
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       "      <td>6.533</td>\n",
       "      <td>6.404</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>0.06</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.42</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7678</td>\n",
       "      <td>447</td>\n",
       "      <td>c*</td>\n",
       "      <td>LEM</td>\n",
       "      <td>150.01539</td>\n",
       "      <td>-66.27624</td>\n",
       "      <td>0.093281</td>\n",
       "      <td>V* V397 Car</td>\n",
       "      <td>150.015387</td>\n",
       "      <td>-66.276243</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>34</td>\n",
       "      <td>10 00 03.69283</td>\n",
       "      <td>-66 16 34.4752</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>18.080</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8Ib/II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.8579</td>\n",
       "      <td>-5.54</td>\n",
       "      <td>2.75</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.070</td>\n",
       "      <td>8.290</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.857</td>\n",
       "      <td>6.533</td>\n",
       "      <td>6.404</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.092665</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5245796334347122944</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.063439</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1690.807016</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>1690.772148</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>1690.704409</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>8.090565</td>\n",
       "      <td>0.000139</td>\n",
       "      <td>8.524661</td>\n",
       "      <td>0.000374</td>\n",
       "      <td>7.540595</td>\n",
       "      <td>0.000385</td>\n",
       "      <td>0.186407</td>\n",
       "      <td>0.000333</td>\n",
       "      <td>0.225013</td>\n",
       "      <td>0.000730</td>\n",
       "      <td>0.128184</td>\n",
       "      <td>0.000991</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.100618</td>\n",
       "      <td>0.002423</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.294410</td>\n",
       "      <td>0.028527</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>31</td>\n",
       "      <td>30</td>\n",
       "      <td>30</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5253795384546671104</td>\n",
       "      <td>5253795384546671104</td>\n",
       "      <td>780821676</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>158.018371</td>\n",
       "      <td>0.144154</td>\n",
       "      <td>-61.782617</td>\n",
       "      <td>0.144688</td>\n",
       "      <td>-1.124873</td>\n",
       "      <td>0.170918</td>\n",
       "      <td>-6.581354</td>\n",
       "      <td>-5.908855</td>\n",
       "      <td>0.282259</td>\n",
       "      <td>2.569842</td>\n",
       "      <td>0.264318</td>\n",
       "      <td>-0.106255</td>\n",
       "      <td>-0.143242</td>\n",
       "      <td>-0.203295</td>\n",
       "      <td>0.079124</td>\n",
       "      <td>0.090470</td>\n",
       "      <td>0.119761</td>\n",
       "      <td>-0.069843</td>\n",
       "      <td>0.324053</td>\n",
       "      <td>0.122004</td>\n",
       "      <td>-0.095519</td>\n",
       "      <td>283</td>\n",
       "      <td>283</td>\n",
       "      <td>274</td>\n",
       "      <td>9</td>\n",
       "      <td>61.664043</td>\n",
       "      <td>5726.75200</td>\n",
       "      <td>0.971280</td>\n",
       "      <td>1.665190e+02</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>1.030584</td>\n",
       "      <td>1.688034</td>\n",
       "      <td>0.048296</td>\n",
       "      <td>-0.061827</td>\n",
       "      <td>32</td>\n",
       "      <td>19</td>\n",
       "      <td>0.148428</td>\n",
       "      <td>0</td>\n",
       "      <td>37</td>\n",
       "      <td>False</td>\n",
       "      <td>318</td>\n",
       "      <td>3.971196e+04</td>\n",
       "      <td>1.292614e+04</td>\n",
       "      <td>3.072220</td>\n",
       "      <td>14.191062</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>287.234728</td>\n",
       "      <td>-3.234658</td>\n",
       "      <td>203.223273</td>\n",
       "      <td>-61.503614</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>66</td>\n",
       "      <td>UY Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7438</td>\n",
       "      <td>7.248</td>\n",
       "      <td>6.887</td>\n",
       "      <td>6.821</td>\n",
       "      <td>0.13</td>\n",
       "      <td>0.10</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.57</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7589</td>\n",
       "      <td>436</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>158.01846</td>\n",
       "      <td>-61.78265</td>\n",
       "      <td>0.194024</td>\n",
       "      <td>V* UY Car</td>\n",
       "      <td>158.018424</td>\n",
       "      <td>-61.782628</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>57</td>\n",
       "      <td>10 32 04.42185</td>\n",
       "      <td>-61 46 57.4596</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-5.91</td>\n",
       "      <td>2.57</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.683</td>\n",
       "      <td>9.347</td>\n",
       "      <td>9.47</td>\n",
       "      <td>7.283</td>\n",
       "      <td>6.974</td>\n",
       "      <td>6.910</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.099874</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5253795384546671104</td>\n",
       "      <td>5.542248</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1679.922650</td>\n",
       "      <td>0.000032</td>\n",
       "      <td>1679.680489</td>\n",
       "      <td>0.000032</td>\n",
       "      <td>1718.528956</td>\n",
       "      <td>0.000032</td>\n",
       "      <td>8.694564</td>\n",
       "      <td>0.000186</td>\n",
       "      <td>9.182812</td>\n",
       "      <td>0.000268</td>\n",
       "      <td>8.093655</td>\n",
       "      <td>0.000219</td>\n",
       "      <td>0.639440</td>\n",
       "      <td>0.000635</td>\n",
       "      <td>0.813463</td>\n",
       "      <td>0.001015</td>\n",
       "      <td>0.505725</td>\n",
       "      <td>0.000916</td>\n",
       "      <td>0.137345</td>\n",
       "      <td>0.233768</td>\n",
       "      <td>0.366755</td>\n",
       "      <td>0.000748</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.597067</td>\n",
       "      <td>0.001993</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>35</td>\n",
       "      <td>32</td>\n",
       "      <td>30</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>201</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5254070090673438592</td>\n",
       "      <td>5254070090673438592</td>\n",
       "      <td>952318351</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>160.595909</td>\n",
       "      <td>0.020469</td>\n",
       "      <td>-61.165901</td>\n",
       "      <td>0.023076</td>\n",
       "      <td>0.330475</td>\n",
       "      <td>0.025346</td>\n",
       "      <td>13.038325</td>\n",
       "      <td>-6.238191</td>\n",
       "      <td>0.043561</td>\n",
       "      <td>3.131553</td>\n",
       "      <td>0.044349</td>\n",
       "      <td>-0.065946</td>\n",
       "      <td>0.006083</td>\n",
       "      <td>-0.329549</td>\n",
       "      <td>0.096789</td>\n",
       "      <td>0.099908</td>\n",
       "      <td>0.113755</td>\n",
       "      <td>-0.279189</td>\n",
       "      <td>0.116409</td>\n",
       "      <td>0.243361</td>\n",
       "      <td>-0.097491</td>\n",
       "      <td>281</td>\n",
       "      <td>281</td>\n",
       "      <td>276</td>\n",
       "      <td>5</td>\n",
       "      <td>2.938739</td>\n",
       "      <td>344.55243</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>305.491940</td>\n",
       "      <td>1.538826</td>\n",
       "      <td>0.005849</td>\n",
       "      <td>-0.028531</td>\n",
       "      <td>32</td>\n",
       "      <td>18</td>\n",
       "      <td>0.035353</td>\n",
       "      <td>0</td>\n",
       "      <td>38</td>\n",
       "      <td>False</td>\n",
       "      <td>324</td>\n",
       "      <td>1.749021e+06</td>\n",
       "      <td>1.089180e+04</td>\n",
       "      <td>160.581440</td>\n",
       "      <td>10.081378</td>\n",
       "      <td>35</td>\n",
       "      <td>7.472974e+05</td>\n",
       "      <td>1.579256e+04</td>\n",
       "      <td>47.319588</td>\n",
       "      <td>10.667654</td>\n",
       "      <td>35</td>\n",
       "      <td>1.421271e+06</td>\n",
       "      <td>2.085486e+04</td>\n",
       "      <td>68.150590</td>\n",
       "      <td>9.380228</td>\n",
       "      <td>1.239876</td>\n",
       "      <td>0</td>\n",
       "      <td>1.287426</td>\n",
       "      <td>0.586276</td>\n",
       "      <td>0.701150</td>\n",
       "      <td>11.421220</td>\n",
       "      <td>6.306281</td>\n",
       "      <td>5</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>288.003193</td>\n",
       "      <td>-2.091907</td>\n",
       "      <td>203.887458</td>\n",
       "      <td>-60.165553</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4786.7700</td>\n",
       "      <td>4728.4700</td>\n",
       "      <td>4873.2666</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>39.458652</td>\n",
       "      <td>38.070362</td>\n",
       "      <td>40.437664</td>\n",
       "      <td>736.460450</td>\n",
       "      <td>640.25476</td>\n",
       "      <td>832.666140</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>54</td>\n",
       "      <td>EY Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.4588</td>\n",
       "      <td>8.352</td>\n",
       "      <td>7.953</td>\n",
       "      <td>7.808</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.53</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7563</td>\n",
       "      <td>437</td>\n",
       "      <td>c</td>\n",
       "      <td>SZI</td>\n",
       "      <td>160.59597</td>\n",
       "      <td>-61.16591</td>\n",
       "      <td>0.109763</td>\n",
       "      <td>V* EY Car</td>\n",
       "      <td>160.595965</td>\n",
       "      <td>-61.165915</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>51</td>\n",
       "      <td>10 42 23.03162</td>\n",
       "      <td>-61 09 57.2932</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>25.433</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3305</td>\n",
       "      <td>-6.24</td>\n",
       "      <td>3.13</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.050</td>\n",
       "      <td>10.350</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.285</td>\n",
       "      <td>7.941</td>\n",
       "      <td>7.804</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.108191</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5254070090673438592</td>\n",
       "      <td>2.876475</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>2.034831</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1689.923189</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>1724.586853</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>1724.642056</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>10.022121</td>\n",
       "      <td>0.000129</td>\n",
       "      <td>10.576105</td>\n",
       "      <td>0.000215</td>\n",
       "      <td>9.351792</td>\n",
       "      <td>0.000171</td>\n",
       "      <td>0.386407</td>\n",
       "      <td>0.000183</td>\n",
       "      <td>0.516607</td>\n",
       "      <td>0.000304</td>\n",
       "      <td>0.216141</td>\n",
       "      <td>0.000242</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.372016</td>\n",
       "      <td>0.001534</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.301994</td>\n",
       "      <td>0.002913</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>34</td>\n",
       "      <td>29</td>\n",
       "      <td>27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>MULTI</td>\n",
       "      <td>F/1O</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>202</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5254097093074642944</td>\n",
       "      <td>5254097093074642944</td>\n",
       "      <td>1088805318</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>159.834651</td>\n",
       "      <td>0.022405</td>\n",
       "      <td>-61.152432</td>\n",
       "      <td>0.025081</td>\n",
       "      <td>0.328375</td>\n",
       "      <td>0.029099</td>\n",
       "      <td>11.284710</td>\n",
       "      <td>-6.168824</td>\n",
       "      <td>0.046326</td>\n",
       "      <td>2.521374</td>\n",
       "      <td>0.044781</td>\n",
       "      <td>0.061312</td>\n",
       "      <td>-0.081088</td>\n",
       "      <td>-0.234505</td>\n",
       "      <td>-0.078694</td>\n",
       "      <td>0.327420</td>\n",
       "      <td>0.021619</td>\n",
       "      <td>-0.195361</td>\n",
       "      <td>0.299477</td>\n",
       "      <td>-0.002472</td>\n",
       "      <td>-0.039208</td>\n",
       "      <td>252</td>\n",
       "      <td>252</td>\n",
       "      <td>248</td>\n",
       "      <td>4</td>\n",
       "      <td>3.882629</td>\n",
       "      <td>338.20563</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>257.173160</td>\n",
       "      <td>1.520802</td>\n",
       "      <td>0.006495</td>\n",
       "      <td>-0.046352</td>\n",
       "      <td>29</td>\n",
       "      <td>17</td>\n",
       "      <td>0.033908</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>False</td>\n",
       "      <td>279</td>\n",
       "      <td>5.344243e+06</td>\n",
       "      <td>2.820563e+04</td>\n",
       "      <td>189.474330</td>\n",
       "      <td>8.868650</td>\n",
       "      <td>31</td>\n",
       "      <td>2.288300e+06</td>\n",
       "      <td>4.605693e+04</td>\n",
       "      <td>49.684155</td>\n",
       "      <td>9.452606</td>\n",
       "      <td>30</td>\n",
       "      <td>4.363691e+06</td>\n",
       "      <td>5.544382e+04</td>\n",
       "      <td>78.704740</td>\n",
       "      <td>8.162285</td>\n",
       "      <td>1.244702</td>\n",
       "      <td>0</td>\n",
       "      <td>1.290321</td>\n",
       "      <td>0.583956</td>\n",
       "      <td>0.706366</td>\n",
       "      <td>-12.217070</td>\n",
       "      <td>4.392587</td>\n",
       "      <td>6</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>287.674426</td>\n",
       "      <td>-2.256511</td>\n",
       "      <td>203.381307</td>\n",
       "      <td>-60.434138</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5236.3335</td>\n",
       "      <td>4964.0000</td>\n",
       "      <td>5671.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>55.273766</td>\n",
       "      <td>47.125324</td>\n",
       "      <td>61.504955</td>\n",
       "      <td>2069.388400</td>\n",
       "      <td>1772.14730</td>\n",
       "      <td>2366.629400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>61</td>\n",
       "      <td>HW Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.9638</td>\n",
       "      <td>7.239</td>\n",
       "      <td>6.814</td>\n",
       "      <td>6.663</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.06</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.06</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7567</td>\n",
       "      <td>427</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>159.83471</td>\n",
       "      <td>-61.15244</td>\n",
       "      <td>0.106832</td>\n",
       "      <td>V* HW Car</td>\n",
       "      <td>159.834706</td>\n",
       "      <td>-61.152443</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>36</td>\n",
       "      <td>10 39 20.32942</td>\n",
       "      <td>-61 09 08.7936</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-12.220</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G2/3Ib/II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3284</td>\n",
       "      <td>-6.17</td>\n",
       "      <td>2.52</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.100</td>\n",
       "      <td>9.090</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.142</td>\n",
       "      <td>6.720</td>\n",
       "      <td>6.571</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.103295</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5254097093074642944</td>\n",
       "      <td>9.197827</td>\n",
       "      <td>0.000073</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1713.359162</td>\n",
       "      <td>0.000104</td>\n",
       "      <td>1713.051721</td>\n",
       "      <td>0.000104</td>\n",
       "      <td>1713.465640</td>\n",
       "      <td>0.000104</td>\n",
       "      <td>8.805459</td>\n",
       "      <td>0.000113</td>\n",
       "      <td>9.391597</td>\n",
       "      <td>0.000387</td>\n",
       "      <td>8.116901</td>\n",
       "      <td>0.000350</td>\n",
       "      <td>0.279268</td>\n",
       "      <td>0.000418</td>\n",
       "      <td>0.343472</td>\n",
       "      <td>0.001527</td>\n",
       "      <td>0.212768</td>\n",
       "      <td>0.001060</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>0.088018</td>\n",
       "      <td>0.001792</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.882696</td>\n",
       "      <td>0.009462</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>31</td>\n",
       "      <td>30</td>\n",
       "      <td>29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>203</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5254295559276699392</td>\n",
       "      <td>5254295559276699392</td>\n",
       "      <td>1624625745</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>159.074209</td>\n",
       "      <td>0.023699</td>\n",
       "      <td>-61.012557</td>\n",
       "      <td>0.026637</td>\n",
       "      <td>0.373767</td>\n",
       "      <td>0.027768</td>\n",
       "      <td>13.460349</td>\n",
       "      <td>-6.209583</td>\n",
       "      <td>0.047234</td>\n",
       "      <td>2.787032</td>\n",
       "      <td>0.049917</td>\n",
       "      <td>0.140132</td>\n",
       "      <td>-0.129122</td>\n",
       "      <td>-0.333439</td>\n",
       "      <td>-0.098620</td>\n",
       "      <td>0.133138</td>\n",
       "      <td>-0.064487</td>\n",
       "      <td>-0.362678</td>\n",
       "      <td>0.164071</td>\n",
       "      <td>0.086912</td>\n",
       "      <td>0.181388</td>\n",
       "      <td>250</td>\n",
       "      <td>250</td>\n",
       "      <td>242</td>\n",
       "      <td>8</td>\n",
       "      <td>4.270917</td>\n",
       "      <td>341.82330</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>241.930590</td>\n",
       "      <td>1.534978</td>\n",
       "      <td>0.006027</td>\n",
       "      <td>-0.042513</td>\n",
       "      <td>29</td>\n",
       "      <td>17</td>\n",
       "      <td>0.039522</td>\n",
       "      <td>0</td>\n",
       "      <td>37</td>\n",
       "      <td>False</td>\n",
       "      <td>296</td>\n",
       "      <td>4.363723e+06</td>\n",
       "      <td>2.849227e+04</td>\n",
       "      <td>153.154600</td>\n",
       "      <td>9.088723</td>\n",
       "      <td>33</td>\n",
       "      <td>6.220865e+05</td>\n",
       "      <td>1.383149e+05</td>\n",
       "      <td>4.497609</td>\n",
       "      <td>10.866761</td>\n",
       "      <td>35</td>\n",
       "      <td>3.347728e+06</td>\n",
       "      <td>4.944003e+04</td>\n",
       "      <td>67.712910</td>\n",
       "      <td>8.450045</td>\n",
       "      <td>0.909731</td>\n",
       "      <td>0</td>\n",
       "      <td>2.416717</td>\n",
       "      <td>1.778038</td>\n",
       "      <td>0.638679</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>287.285064</td>\n",
       "      <td>-2.314926</td>\n",
       "      <td>202.677779</td>\n",
       "      <td>-60.621127</td>\n",
       "      <td>101001.0</td>\n",
       "      <td>4135.0000</td>\n",
       "      <td>3498.0000</td>\n",
       "      <td>4335.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>84.807304</td>\n",
       "      <td>77.162460</td>\n",
       "      <td>118.507180</td>\n",
       "      <td>1894.363200</td>\n",
       "      <td>1662.30690</td>\n",
       "      <td>2126.419400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>67</td>\n",
       "      <td>UZ Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7164</td>\n",
       "      <td>7.646</td>\n",
       "      <td>7.257</td>\n",
       "      <td>7.110</td>\n",
       "      <td>0.13</td>\n",
       "      <td>0.10</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.70</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7583</td>\n",
       "      <td>434</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>159.07427</td>\n",
       "      <td>-61.01257</td>\n",
       "      <td>0.115235</td>\n",
       "      <td>V* UZ Car</td>\n",
       "      <td>159.074265</td>\n",
       "      <td>-61.012569</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>60</td>\n",
       "      <td>10 36 17.82350</td>\n",
       "      <td>-61 00 45.2493</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-21.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3738</td>\n",
       "      <td>-6.21</td>\n",
       "      <td>2.79</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.220</td>\n",
       "      <td>9.380</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.569</td>\n",
       "      <td>7.221</td>\n",
       "      <td>7.079</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.105499</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5254295559276699392</td>\n",
       "      <td>5.204555</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1681.528903</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>1681.519162</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>1681.712596</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>9.062549</td>\n",
       "      <td>0.000179</td>\n",
       "      <td>9.563523</td>\n",
       "      <td>0.000646</td>\n",
       "      <td>8.443892</td>\n",
       "      <td>0.000405</td>\n",
       "      <td>0.572339</td>\n",
       "      <td>0.000577</td>\n",
       "      <td>0.721705</td>\n",
       "      <td>0.002615</td>\n",
       "      <td>0.465822</td>\n",
       "      <td>0.002376</td>\n",
       "      <td>0.177726</td>\n",
       "      <td>0.233763</td>\n",
       "      <td>0.354789</td>\n",
       "      <td>0.000572</td>\n",
       "      <td>0.099201</td>\n",
       "      <td>0.000779</td>\n",
       "      <td>4.508709</td>\n",
       "      <td>0.004438</td>\n",
       "      <td>2.826929</td>\n",
       "      <td>0.012892</td>\n",
       "      <td>33</td>\n",
       "      <td>28</td>\n",
       "      <td>26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>204</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5254662177677566464</td>\n",
       "      <td>5254662177677566464</td>\n",
       "      <td>1014794053</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>155.345675</td>\n",
       "      <td>0.028528</td>\n",
       "      <td>-61.074076</td>\n",
       "      <td>0.029773</td>\n",
       "      <td>0.286733</td>\n",
       "      <td>0.030156</td>\n",
       "      <td>9.508356</td>\n",
       "      <td>-6.371556</td>\n",
       "      <td>0.058335</td>\n",
       "      <td>3.939011</td>\n",
       "      <td>0.057823</td>\n",
       "      <td>-0.225443</td>\n",
       "      <td>0.019047</td>\n",
       "      <td>-0.389000</td>\n",
       "      <td>0.231081</td>\n",
       "      <td>0.106456</td>\n",
       "      <td>0.254501</td>\n",
       "      <td>-0.333419</td>\n",
       "      <td>0.093170</td>\n",
       "      <td>0.048329</td>\n",
       "      <td>-0.059307</td>\n",
       "      <td>209</td>\n",
       "      <td>209</td>\n",
       "      <td>208</td>\n",
       "      <td>1</td>\n",
       "      <td>4.263989</td>\n",
       "      <td>300.74088</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.980234e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>224.210720</td>\n",
       "      <td>1.549570</td>\n",
       "      <td>0.007968</td>\n",
       "      <td>-0.059498</td>\n",
       "      <td>24</td>\n",
       "      <td>16</td>\n",
       "      <td>0.044745</td>\n",
       "      <td>0</td>\n",
       "      <td>30</td>\n",
       "      <td>False</td>\n",
       "      <td>249</td>\n",
       "      <td>6.897266e+06</td>\n",
       "      <td>5.998741e+04</td>\n",
       "      <td>114.978560</td>\n",
       "      <td>8.591673</td>\n",
       "      <td>28</td>\n",
       "      <td>3.169066e+06</td>\n",
       "      <td>1.085010e+05</td>\n",
       "      <td>29.207705</td>\n",
       "      <td>9.099060</td>\n",
       "      <td>28</td>\n",
       "      <td>5.335626e+06</td>\n",
       "      <td>1.039413e+05</td>\n",
       "      <td>51.333057</td>\n",
       "      <td>7.943956</td>\n",
       "      <td>1.233053</td>\n",
       "      <td>0</td>\n",
       "      <td>1.155104</td>\n",
       "      <td>0.507387</td>\n",
       "      <td>0.647717</td>\n",
       "      <td>-2.852562</td>\n",
       "      <td>6.468162</td>\n",
       "      <td>5</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>285.772712</td>\n",
       "      <td>-3.304805</td>\n",
       "      <td>200.349369</td>\n",
       "      <td>-62.040468</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5332.3300</td>\n",
       "      <td>5008.5900</td>\n",
       "      <td>5815.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>68.870310</td>\n",
       "      <td>57.911743</td>\n",
       "      <td>78.061190</td>\n",
       "      <td>3454.831300</td>\n",
       "      <td>2872.67480</td>\n",
       "      <td>4036.987800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>343</td>\n",
       "      <td>AQ Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.9898</td>\n",
       "      <td>7.138</td>\n",
       "      <td>6.757</td>\n",
       "      <td>6.618</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.14</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7658</td>\n",
       "      <td>425</td>\n",
       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
       "      <td>155.34573</td>\n",
       "      <td>-61.07409</td>\n",
       "      <td>0.108511</td>\n",
       "      <td>V* AQ Car</td>\n",
       "      <td>155.345732</td>\n",
       "      <td>-61.074093</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>88</td>\n",
       "      <td>10 21 22.97559</td>\n",
       "      <td>-61 04 26.7344</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>1.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8/G0Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2867</td>\n",
       "      <td>-6.37</td>\n",
       "      <td>3.94</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.730</td>\n",
       "      <td>8.840</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.244</td>\n",
       "      <td>6.811</td>\n",
       "      <td>6.620</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.116108</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5254662177677566464</td>\n",
       "      <td>9.768108</td>\n",
       "      <td>0.000105</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1673.115115</td>\n",
       "      <td>0.000149</td>\n",
       "      <td>1672.927203</td>\n",
       "      <td>0.000149</td>\n",
       "      <td>1673.516186</td>\n",
       "      <td>0.000149</td>\n",
       "      <td>8.586136</td>\n",
       "      <td>0.000187</td>\n",
       "      <td>9.086472</td>\n",
       "      <td>0.000314</td>\n",
       "      <td>7.958856</td>\n",
       "      <td>0.000239</td>\n",
       "      <td>0.504545</td>\n",
       "      <td>0.000615</td>\n",
       "      <td>0.661843</td>\n",
       "      <td>0.001573</td>\n",
       "      <td>0.329023</td>\n",
       "      <td>0.000696</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.049485</td>\n",
       "      <td>0.001603</td>\n",
       "      <td>0.147625</td>\n",
       "      <td>0.001304</td>\n",
       "      <td>1.097712</td>\n",
       "      <td>0.023975</td>\n",
       "      <td>5.400098</td>\n",
       "      <td>0.010830</td>\n",
       "      <td>28</td>\n",
       "      <td>25</td>\n",
       "      <td>25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>205</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5255066591776722432</td>\n",
       "      <td>5255066591776722432</td>\n",
       "      <td>1340059487</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>155.084832</td>\n",
       "      <td>0.026073</td>\n",
       "      <td>-59.376609</td>\n",
       "      <td>0.025708</td>\n",
       "      <td>0.345360</td>\n",
       "      <td>0.029865</td>\n",
       "      <td>11.563930</td>\n",
       "      <td>-5.857801</td>\n",
       "      <td>0.054970</td>\n",
       "      <td>2.578071</td>\n",
       "      <td>0.050692</td>\n",
       "      <td>0.093604</td>\n",
       "      <td>-0.094981</td>\n",
       "      <td>-0.232512</td>\n",
       "      <td>0.071171</td>\n",
       "      <td>0.338115</td>\n",
       "      <td>0.105360</td>\n",
       "      <td>-0.223576</td>\n",
       "      <td>0.125987</td>\n",
       "      <td>-0.074863</td>\n",
       "      <td>0.254531</td>\n",
       "      <td>227</td>\n",
       "      <td>227</td>\n",
       "      <td>223</td>\n",
       "      <td>4</td>\n",
       "      <td>4.093554</td>\n",
       "      <td>314.28250</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>242.069800</td>\n",
       "      <td>1.495227</td>\n",
       "      <td>0.007839</td>\n",
       "      <td>-0.045717</td>\n",
       "      <td>26</td>\n",
       "      <td>16</td>\n",
       "      <td>0.041973</td>\n",
       "      <td>0</td>\n",
       "      <td>28</td>\n",
       "      <td>False</td>\n",
       "      <td>242</td>\n",
       "      <td>2.011899e+06</td>\n",
       "      <td>1.163717e+04</td>\n",
       "      <td>172.885590</td>\n",
       "      <td>9.929351</td>\n",
       "      <td>26</td>\n",
       "      <td>8.017887e+05</td>\n",
       "      <td>1.901235e+04</td>\n",
       "      <td>42.172000</td>\n",
       "      <td>10.591238</td>\n",
       "      <td>26</td>\n",
       "      <td>1.688451e+06</td>\n",
       "      <td>2.596928e+04</td>\n",
       "      <td>65.017270</td>\n",
       "      <td>9.193198</td>\n",
       "      <td>1.237756</td>\n",
       "      <td>0</td>\n",
       "      <td>1.398040</td>\n",
       "      <td>0.661887</td>\n",
       "      <td>0.736153</td>\n",
       "      <td>-3.211718</td>\n",
       "      <td>5.521631</td>\n",
       "      <td>5</td>\n",
       "      <td>4750.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>-0.50</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>284.739254</td>\n",
       "      <td>-1.951135</td>\n",
       "      <td>197.471851</td>\n",
       "      <td>-61.031435</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5009.2500</td>\n",
       "      <td>4510.5000</td>\n",
       "      <td>5594.2500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>35.974052</td>\n",
       "      <td>28.843706</td>\n",
       "      <td>44.369590</td>\n",
       "      <td>734.115300</td>\n",
       "      <td>632.11240</td>\n",
       "      <td>836.118160</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>59</td>\n",
       "      <td>GZ Car</td>\n",
       "      <td>DCEPS(B)</td>\n",
       "      <td>0.6190</td>\n",
       "      <td>8.126</td>\n",
       "      <td>7.698</td>\n",
       "      <td>7.528</td>\n",
       "      <td>-0.07</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.75</td>\n",
       "      <td>0.11</td>\n",
       "      <td>7681</td>\n",
       "      <td>433</td>\n",
       "      <td>c*</td>\n",
       "      <td>SZI</td>\n",
       "      <td>155.08487</td>\n",
       "      <td>-59.37662</td>\n",
       "      <td>0.080773</td>\n",
       "      <td>V* GZ Car</td>\n",
       "      <td>155.084881</td>\n",
       "      <td>-59.376620</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>77</td>\n",
       "      <td>10 20 20.37147</td>\n",
       "      <td>-59 22 35.8323</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |*  |IR</td>\n",
       "      <td>-3.210</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3454</td>\n",
       "      <td>-5.86</td>\n",
       "      <td>2.58</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.150</td>\n",
       "      <td>10.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.126</td>\n",
       "      <td>7.698</td>\n",
       "      <td>7.528</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.099200</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5255066591776722432</td>\n",
       "      <td>4.154210</td>\n",
       "      <td>0.000045</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1723.813662</td>\n",
       "      <td>0.000064</td>\n",
       "      <td>1723.859061</td>\n",
       "      <td>0.000064</td>\n",
       "      <td>1723.859591</td>\n",
       "      <td>0.000064</td>\n",
       "      <td>9.920044</td>\n",
       "      <td>0.000115</td>\n",
       "      <td>10.535692</td>\n",
       "      <td>0.000323</td>\n",
       "      <td>9.163969</td>\n",
       "      <td>0.000143</td>\n",
       "      <td>0.284751</td>\n",
       "      <td>0.000424</td>\n",
       "      <td>0.298445</td>\n",
       "      <td>0.000755</td>\n",
       "      <td>0.195767</td>\n",
       "      <td>0.000627</td>\n",
       "      <td>-0.393969</td>\n",
       "      <td>0.225120</td>\n",
       "      <td>0.515338</td>\n",
       "      <td>0.002746</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.021233</td>\n",
       "      <td>0.003806</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>26</td>\n",
       "      <td>24</td>\n",
       "      <td>24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>206</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5255220656517219840</td>\n",
       "      <td>5255220656517219840</td>\n",
       "      <td>1167605349</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>156.711937</td>\n",
       "      <td>0.023613</td>\n",
       "      <td>-59.669532</td>\n",
       "      <td>0.026217</td>\n",
       "      <td>0.263065</td>\n",
       "      <td>0.029025</td>\n",
       "      <td>9.063525</td>\n",
       "      <td>-7.304970</td>\n",
       "      <td>0.051591</td>\n",
       "      <td>3.590089</td>\n",
       "      <td>0.049525</td>\n",
       "      <td>0.093789</td>\n",
       "      <td>-0.202344</td>\n",
       "      <td>-0.148456</td>\n",
       "      <td>0.092409</td>\n",
       "      <td>0.169040</td>\n",
       "      <td>0.147112</td>\n",
       "      <td>0.022124</td>\n",
       "      <td>0.192255</td>\n",
       "      <td>-0.013368</td>\n",
       "      <td>0.200716</td>\n",
       "      <td>236</td>\n",
       "      <td>236</td>\n",
       "      <td>231</td>\n",
       "      <td>5</td>\n",
       "      <td>4.441096</td>\n",
       "      <td>333.31375</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>241.717350</td>\n",
       "      <td>1.519150</td>\n",
       "      <td>0.007958</td>\n",
       "      <td>-0.033785</td>\n",
       "      <td>27</td>\n",
       "      <td>17</td>\n",
       "      <td>0.039611</td>\n",
       "      <td>0</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>274</td>\n",
       "      <td>4.086108e+06</td>\n",
       "      <td>6.940807e+04</td>\n",
       "      <td>58.870790</td>\n",
       "      <td>9.160091</td>\n",
       "      <td>28</td>\n",
       "      <td>1.770443e+06</td>\n",
       "      <td>8.700289e+04</td>\n",
       "      <td>20.349240</td>\n",
       "      <td>9.731183</td>\n",
       "      <td>28</td>\n",
       "      <td>3.605107e+06</td>\n",
       "      <td>1.136106e+05</td>\n",
       "      <td>31.732153</td>\n",
       "      <td>8.369624</td>\n",
       "      <td>1.315568</td>\n",
       "      <td>0</td>\n",
       "      <td>1.361559</td>\n",
       "      <td>0.571092</td>\n",
       "      <td>0.790467</td>\n",
       "      <td>-1.075380</td>\n",
       "      <td>14.138813</td>\n",
       "      <td>3</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>285.593511</td>\n",
       "      <td>-1.756690</td>\n",
       "      <td>199.048978</td>\n",
       "      <td>-60.612313</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4570.4800</td>\n",
       "      <td>4459.2500</td>\n",
       "      <td>5020.0625</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>86.085270</td>\n",
       "      <td>71.356610</td>\n",
       "      <td>90.433395</td>\n",
       "      <td>2913.397200</td>\n",
       "      <td>2389.91580</td>\n",
       "      <td>3436.878700</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>65</td>\n",
       "      <td>UW Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7280</td>\n",
       "      <td>7.356</td>\n",
       "      <td>6.947</td>\n",
       "      <td>6.760</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.06</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.36</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7652</td>\n",
       "      <td>439</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>156.71199</td>\n",
       "      <td>-59.66954</td>\n",
       "      <td>0.099990</td>\n",
       "      <td>V* UW Car</td>\n",
       "      <td>156.711999</td>\n",
       "      <td>-59.669548</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>53</td>\n",
       "      <td>10 26 50.87986</td>\n",
       "      <td>-59 40 10.3720</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-14.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2631</td>\n",
       "      <td>-7.31</td>\n",
       "      <td>3.59</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.330</td>\n",
       "      <td>9.470</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.285</td>\n",
       "      <td>6.859</td>\n",
       "      <td>6.672</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.126162</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5255220656517219840</td>\n",
       "      <td>5.346315</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1681.522673</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>1681.528792</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>1681.665098</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>9.029192</td>\n",
       "      <td>0.000149</td>\n",
       "      <td>9.644564</td>\n",
       "      <td>0.000317</td>\n",
       "      <td>8.310934</td>\n",
       "      <td>0.000303</td>\n",
       "      <td>0.692592</td>\n",
       "      <td>0.000592</td>\n",
       "      <td>0.871380</td>\n",
       "      <td>0.001442</td>\n",
       "      <td>0.546025</td>\n",
       "      <td>0.000942</td>\n",
       "      <td>0.029627</td>\n",
       "      <td>0.233772</td>\n",
       "      <td>0.398675</td>\n",
       "      <td>0.000871</td>\n",
       "      <td>0.165111</td>\n",
       "      <td>0.000872</td>\n",
       "      <td>4.470703</td>\n",
       "      <td>0.002255</td>\n",
       "      <td>2.536715</td>\n",
       "      <td>0.005524</td>\n",
       "      <td>29</td>\n",
       "      <td>28</td>\n",
       "      <td>28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>207</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5255254711361371520</td>\n",
       "      <td>5255254711361371520</td>\n",
       "      <td>979929432</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>157.070132</td>\n",
       "      <td>0.027029</td>\n",
       "      <td>-59.350179</td>\n",
       "      <td>0.027809</td>\n",
       "      <td>0.320416</td>\n",
       "      <td>0.030748</td>\n",
       "      <td>10.420779</td>\n",
       "      <td>-6.626156</td>\n",
       "      <td>0.052578</td>\n",
       "      <td>2.238823</td>\n",
       "      <td>0.051357</td>\n",
       "      <td>0.184682</td>\n",
       "      <td>-0.241171</td>\n",
       "      <td>-0.207930</td>\n",
       "      <td>0.187351</td>\n",
       "      <td>0.155444</td>\n",
       "      <td>0.246256</td>\n",
       "      <td>0.040076</td>\n",
       "      <td>0.220222</td>\n",
       "      <td>0.039943</td>\n",
       "      <td>0.261966</td>\n",
       "      <td>274</td>\n",
       "      <td>274</td>\n",
       "      <td>271</td>\n",
       "      <td>3</td>\n",
       "      <td>5.962863</td>\n",
       "      <td>427.68414</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.729690e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>136.053670</td>\n",
       "      <td>1.484087</td>\n",
       "      <td>0.008376</td>\n",
       "      <td>0.094846</td>\n",
       "      <td>31</td>\n",
       "      <td>17</td>\n",
       "      <td>0.041093</td>\n",
       "      <td>0</td>\n",
       "      <td>38</td>\n",
       "      <td>False</td>\n",
       "      <td>305</td>\n",
       "      <td>8.528856e+06</td>\n",
       "      <td>9.127933e+04</td>\n",
       "      <td>93.436880</td>\n",
       "      <td>8.361138</td>\n",
       "      <td>34</td>\n",
       "      <td>3.261867e+06</td>\n",
       "      <td>1.330648e+05</td>\n",
       "      <td>24.513378</td>\n",
       "      <td>9.067722</td>\n",
       "      <td>34</td>\n",
       "      <td>7.636902e+06</td>\n",
       "      <td>1.951037e+05</td>\n",
       "      <td>39.142773</td>\n",
       "      <td>7.554627</td>\n",
       "      <td>1.277870</td>\n",
       "      <td>0</td>\n",
       "      <td>1.513095</td>\n",
       "      <td>0.706584</td>\n",
       "      <td>0.806511</td>\n",
       "      <td>-4.087644</td>\n",
       "      <td>3.974972</td>\n",
       "      <td>16</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>285.581425</td>\n",
       "      <td>-1.389442</td>\n",
       "      <td>198.816092</td>\n",
       "      <td>-60.263292</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4374.0000</td>\n",
       "      <td>4333.0000</td>\n",
       "      <td>4443.5000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>116.110810</td>\n",
       "      <td>112.507080</td>\n",
       "      <td>118.318550</td>\n",
       "      <td>4445.853500</td>\n",
       "      <td>3766.03540</td>\n",
       "      <td>5125.671400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>74</td>\n",
       "      <td>YZ Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.2592</td>\n",
       "      <td>6.432</td>\n",
       "      <td>5.985</td>\n",
       "      <td>5.800</td>\n",
       "      <td>0.00</td>\n",
       "      <td>-0.03</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.15</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7668</td>\n",
       "      <td>425</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>157.07020</td>\n",
       "      <td>-59.35019</td>\n",
       "      <td>0.131039</td>\n",
       "      <td>V* YZ Car</td>\n",
       "      <td>157.070188</td>\n",
       "      <td>-59.350188</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>103</td>\n",
       "      <td>10 28 16.84516</td>\n",
       "      <td>-59 21 00.6776</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR |SB*</td>\n",
       "      <td>3.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3204</td>\n",
       "      <td>-6.63</td>\n",
       "      <td>2.24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.110</td>\n",
       "      <td>8.240</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.306</td>\n",
       "      <td>5.949</td>\n",
       "      <td>5.787</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.108409</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5255254711361371520</td>\n",
       "      <td>18.177577</td>\n",
       "      <td>0.000468</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1654.686088</td>\n",
       "      <td>0.000662</td>\n",
       "      <td>1655.029174</td>\n",
       "      <td>0.000662</td>\n",
       "      <td>1655.344532</td>\n",
       "      <td>0.000662</td>\n",
       "      <td>8.298982</td>\n",
       "      <td>0.000735</td>\n",
       "      <td>8.974500</td>\n",
       "      <td>0.000391</td>\n",
       "      <td>7.518969</td>\n",
       "      <td>0.000283</td>\n",
       "      <td>0.715218</td>\n",
       "      <td>0.005328</td>\n",
       "      <td>0.921948</td>\n",
       "      <td>0.004892</td>\n",
       "      <td>0.507377</td>\n",
       "      <td>0.001339</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.339486</td>\n",
       "      <td>0.003013</td>\n",
       "      <td>0.244219</td>\n",
       "      <td>0.004205</td>\n",
       "      <td>4.278117</td>\n",
       "      <td>0.010610</td>\n",
       "      <td>2.503795</td>\n",
       "      <td>0.015553</td>\n",
       "      <td>32</td>\n",
       "      <td>30</td>\n",
       "      <td>32</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>208</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5257664497238811776</td>\n",
       "      <td>5257664497238811776</td>\n",
       "      <td>1623375373</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>148.858955</td>\n",
       "      <td>0.026488</td>\n",
       "      <td>-58.429689</td>\n",
       "      <td>0.027883</td>\n",
       "      <td>0.355165</td>\n",
       "      <td>0.030146</td>\n",
       "      <td>11.781349</td>\n",
       "      <td>-5.501188</td>\n",
       "      <td>0.054357</td>\n",
       "      <td>2.668644</td>\n",
       "      <td>0.050450</td>\n",
       "      <td>0.159575</td>\n",
       "      <td>-0.148989</td>\n",
       "      <td>-0.356641</td>\n",
       "      <td>-0.077490</td>\n",
       "      <td>0.328495</td>\n",
       "      <td>-0.025474</td>\n",
       "      <td>-0.262310</td>\n",
       "      <td>0.126591</td>\n",
       "      <td>-0.053116</td>\n",
       "      <td>0.301780</td>\n",
       "      <td>218</td>\n",
       "      <td>218</td>\n",
       "      <td>215</td>\n",
       "      <td>3</td>\n",
       "      <td>4.076085</td>\n",
       "      <td>304.24637</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>220.911040</td>\n",
       "      <td>1.516711</td>\n",
       "      <td>0.007599</td>\n",
       "      <td>-0.096152</td>\n",
       "      <td>25</td>\n",
       "      <td>16</td>\n",
       "      <td>0.042869</td>\n",
       "      <td>0</td>\n",
       "      <td>46</td>\n",
       "      <td>True</td>\n",
       "      <td>348</td>\n",
       "      <td>4.069998e+06</td>\n",
       "      <td>4.490329e+04</td>\n",
       "      <td>90.639190</td>\n",
       "      <td>9.164380</td>\n",
       "      <td>40</td>\n",
       "      <td>1.677114e+06</td>\n",
       "      <td>6.134077e+04</td>\n",
       "      <td>27.340930</td>\n",
       "      <td>9.789982</td>\n",
       "      <td>38</td>\n",
       "      <td>3.770270e+06</td>\n",
       "      <td>8.651913e+04</td>\n",
       "      <td>43.577300</td>\n",
       "      <td>8.320989</td>\n",
       "      <td>1.338424</td>\n",
       "      <td>0</td>\n",
       "      <td>1.468993</td>\n",
       "      <td>0.625602</td>\n",
       "      <td>0.843391</td>\n",
       "      <td>31.284451</td>\n",
       "      <td>5.831411</td>\n",
       "      <td>5</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>281.573180</td>\n",
       "      <td>-3.056758</td>\n",
       "      <td>191.417815</td>\n",
       "      <td>-62.796823</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5199.7100</td>\n",
       "      <td>4412.0000</td>\n",
       "      <td>6297.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>45.359745</td>\n",
       "      <td>30.928686</td>\n",
       "      <td>63.002506</td>\n",
       "      <td>1355.040900</td>\n",
       "      <td>1170.38150</td>\n",
       "      <td>1539.700300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>58</td>\n",
       "      <td>GX Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8571</td>\n",
       "      <td>7.197</td>\n",
       "      <td>6.763</td>\n",
       "      <td>6.555</td>\n",
       "      <td>0.14</td>\n",
       "      <td>0.11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.55</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7791</td>\n",
       "      <td>437</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>148.85901</td>\n",
       "      <td>-58.42970</td>\n",
       "      <td>0.111225</td>\n",
       "      <td>V* GX Car</td>\n",
       "      <td>148.859000</td>\n",
       "      <td>-58.429700</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>55</td>\n",
       "      <td>09 55 26.16004</td>\n",
       "      <td>-58 25 46.9214</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>31.280</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3552</td>\n",
       "      <td>-5.50</td>\n",
       "      <td>2.67</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.460</td>\n",
       "      <td>9.420</td>\n",
       "      <td>9.53</td>\n",
       "      <td>7.285</td>\n",
       "      <td>6.788</td>\n",
       "      <td>6.578</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.094772</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5257664497238811776</td>\n",
       "      <td>7.196194</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1672.045555</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>1671.931143</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>1672.089844</td>\n",
       "      <td>0.000044</td>\n",
       "      <td>8.952298</td>\n",
       "      <td>0.000343</td>\n",
       "      <td>9.583963</td>\n",
       "      <td>0.000620</td>\n",
       "      <td>8.219686</td>\n",
       "      <td>0.000457</td>\n",
       "      <td>0.649741</td>\n",
       "      <td>0.000915</td>\n",
       "      <td>0.831611</td>\n",
       "      <td>0.000955</td>\n",
       "      <td>0.515614</td>\n",
       "      <td>0.001417</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.307654</td>\n",
       "      <td>0.000797</td>\n",
       "      <td>0.119382</td>\n",
       "      <td>0.001509</td>\n",
       "      <td>4.935226</td>\n",
       "      <td>0.005761</td>\n",
       "      <td>3.156888</td>\n",
       "      <td>0.006623</td>\n",
       "      <td>38</td>\n",
       "      <td>33</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>209</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5258574068220187648</td>\n",
       "      <td>5258574068220187648</td>\n",
       "      <td>139966197</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>153.886894</td>\n",
       "      <td>0.025473</td>\n",
       "      <td>-58.174439</td>\n",
       "      <td>0.028100</td>\n",
       "      <td>0.365269</td>\n",
       "      <td>0.032335</td>\n",
       "      <td>11.296439</td>\n",
       "      <td>-5.905642</td>\n",
       "      <td>0.050533</td>\n",
       "      <td>2.456525</td>\n",
       "      <td>0.049603</td>\n",
       "      <td>-0.034494</td>\n",
       "      <td>-0.186106</td>\n",
       "      <td>-0.148137</td>\n",
       "      <td>0.171383</td>\n",
       "      <td>0.394120</td>\n",
       "      <td>0.257347</td>\n",
       "      <td>-0.191986</td>\n",
       "      <td>0.306917</td>\n",
       "      <td>-0.069727</td>\n",
       "      <td>0.091620</td>\n",
       "      <td>216</td>\n",
       "      <td>216</td>\n",
       "      <td>213</td>\n",
       "      <td>3</td>\n",
       "      <td>6.652201</td>\n",
       "      <td>374.33096</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>311.702420</td>\n",
       "      <td>1.481588</td>\n",
       "      <td>0.009119</td>\n",
       "      <td>0.048403</td>\n",
       "      <td>25</td>\n",
       "      <td>16</td>\n",
       "      <td>0.036377</td>\n",
       "      <td>0</td>\n",
       "      <td>28</td>\n",
       "      <td>True</td>\n",
       "      <td>245</td>\n",
       "      <td>1.397170e+06</td>\n",
       "      <td>1.170035e+04</td>\n",
       "      <td>119.412605</td>\n",
       "      <td>10.325243</td>\n",
       "      <td>26</td>\n",
       "      <td>5.175077e+05</td>\n",
       "      <td>1.484034e+04</td>\n",
       "      <td>34.871685</td>\n",
       "      <td>11.066596</td>\n",
       "      <td>25</td>\n",
       "      <td>1.245297e+06</td>\n",
       "      <td>2.930411e+04</td>\n",
       "      <td>42.495632</td>\n",
       "      <td>9.523738</td>\n",
       "      <td>1.261697</td>\n",
       "      <td>0</td>\n",
       "      <td>1.542858</td>\n",
       "      <td>0.741353</td>\n",
       "      <td>0.801505</td>\n",
       "      <td>-8.560835</td>\n",
       "      <td>5.706160</td>\n",
       "      <td>4</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>283.556837</td>\n",
       "      <td>-1.292544</td>\n",
       "      <td>194.790627</td>\n",
       "      <td>-60.676797</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4244.0474</td>\n",
       "      <td>4109.3100</td>\n",
       "      <td>4356.9270</td>\n",
       "      <td>0.2030</td>\n",
       "      <td>0.0929</td>\n",
       "      <td>2.0526</td>\n",
       "      <td>0.0950</td>\n",
       "      <td>0.0453</td>\n",
       "      <td>0.8289</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>45.214200</td>\n",
       "      <td>42.901726</td>\n",
       "      <td>48.227802</td>\n",
       "      <td>597.537700</td>\n",
       "      <td>514.71040</td>\n",
       "      <td>680.365050</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>50</td>\n",
       "      <td>CN Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6931</td>\n",
       "      <td>8.345</td>\n",
       "      <td>7.848</td>\n",
       "      <td>7.704</td>\n",
       "      <td>0.21</td>\n",
       "      <td>0.18</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.14</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7761</td>\n",
       "      <td>426</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>153.88695</td>\n",
       "      <td>-58.17445</td>\n",
       "      <td>0.114690</td>\n",
       "      <td>V* CN Car</td>\n",
       "      <td>153.886942</td>\n",
       "      <td>-58.174449</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>52</td>\n",
       "      <td>10 15 32.86603</td>\n",
       "      <td>-58 10 28.0171</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>9.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3653</td>\n",
       "      <td>-5.91</td>\n",
       "      <td>2.46</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.770</td>\n",
       "      <td>10.740</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.413</td>\n",
       "      <td>7.952</td>\n",
       "      <td>7.808</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.099141</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>5258574068220187648</td>\n",
       "      <td>4.932552</td>\n",
       "      <td>0.000055</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1682.566609</td>\n",
       "      <td>0.000078</td>\n",
       "      <td>1682.567695</td>\n",
       "      <td>0.000078</td>\n",
       "      <td>1682.624777</td>\n",
       "      <td>0.000078</td>\n",
       "      <td>10.238495</td>\n",
       "      <td>0.000650</td>\n",
       "      <td>10.937829</td>\n",
       "      <td>0.000522</td>\n",
       "      <td>9.458331</td>\n",
       "      <td>0.000327</td>\n",
       "      <td>0.614424</td>\n",
       "      <td>0.002563</td>\n",
       "      <td>0.743769</td>\n",
       "      <td>0.001622</td>\n",
       "      <td>0.488689</td>\n",
       "      <td>0.001780</td>\n",
       "      <td>-0.089438</td>\n",
       "      <td>0.225085</td>\n",
       "      <td>0.426471</td>\n",
       "      <td>0.002236</td>\n",
       "      <td>0.118510</td>\n",
       "      <td>0.002457</td>\n",
       "      <td>4.354881</td>\n",
       "      <td>0.010569</td>\n",
       "      <td>2.672038</td>\n",
       "      <td>0.030231</td>\n",
       "      <td>23</td>\n",
       "      <td>21</td>\n",
       "      <td>19</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>210</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5302258008774271488</td>\n",
       "      <td>5302258008774271488</td>\n",
       "      <td>780002809</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>127.182024</td>\n",
       "      <td>0.022077</td>\n",
       "      <td>-60.122564</td>\n",
       "      <td>0.026212</td>\n",
       "      <td>0.760332</td>\n",
       "      <td>0.022711</td>\n",
       "      <td>33.478413</td>\n",
       "      <td>-4.062178</td>\n",
       "      <td>0.050156</td>\n",
       "      <td>2.477931</td>\n",
       "      <td>0.054257</td>\n",
       "      <td>0.022932</td>\n",
       "      <td>0.004286</td>\n",
       "      <td>-0.440617</td>\n",
       "      <td>0.006658</td>\n",
       "      <td>0.281588</td>\n",
       "      <td>-0.012475</td>\n",
       "      <td>-0.495220</td>\n",
       "      <td>-0.063729</td>\n",
       "      <td>-0.091106</td>\n",
       "      <td>0.132587</td>\n",
       "      <td>220</td>\n",
       "      <td>220</td>\n",
       "      <td>217</td>\n",
       "      <td>3</td>\n",
       "      <td>4.644324</td>\n",
       "      <td>321.85162</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>130.018420</td>\n",
       "      <td>1.549772</td>\n",
       "      <td>0.006109</td>\n",
       "      <td>0.079799</td>\n",
       "      <td>25</td>\n",
       "      <td>15</td>\n",
       "      <td>0.045163</td>\n",
       "      <td>0</td>\n",
       "      <td>61</td>\n",
       "      <td>False</td>\n",
       "      <td>448</td>\n",
       "      <td>2.556567e+07</td>\n",
       "      <td>2.045905e+05</td>\n",
       "      <td>124.960210</td>\n",
       "      <td>7.169222</td>\n",
       "      <td>50</td>\n",
       "      <td>1.152371e+07</td>\n",
       "      <td>3.485785e+05</td>\n",
       "      <td>33.059147</td>\n",
       "      <td>7.697408</td>\n",
       "      <td>51</td>\n",
       "      <td>1.936089e+07</td>\n",
       "      <td>3.467974e+05</td>\n",
       "      <td>55.827660</td>\n",
       "      <td>6.544607</td>\n",
       "      <td>1.208049</td>\n",
       "      <td>0</td>\n",
       "      <td>1.152801</td>\n",
       "      <td>0.528185</td>\n",
       "      <td>0.624616</td>\n",
       "      <td>26.315012</td>\n",
       "      <td>3.064788</td>\n",
       "      <td>27</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>275.249526</td>\n",
       "      <td>-12.285248</td>\n",
       "      <td>176.346446</td>\n",
       "      <td>-72.442214</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4861.3335</td>\n",
       "      <td>4813.3400</td>\n",
       "      <td>4891.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>62.933804</td>\n",
       "      <td>62.172665</td>\n",
       "      <td>64.195080</td>\n",
       "      <td>1992.894500</td>\n",
       "      <td>1886.20970</td>\n",
       "      <td>2099.579300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>346</td>\n",
       "      <td>V Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8259</td>\n",
       "      <td>5.753</td>\n",
       "      <td>5.402</td>\n",
       "      <td>5.274</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.27</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7915</td>\n",
       "      <td>447</td>\n",
       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
       "      <td>127.18206</td>\n",
       "      <td>-60.12257</td>\n",
       "      <td>0.068244</td>\n",
       "      <td>V* V Car</td>\n",
       "      <td>127.182059</td>\n",
       "      <td>-60.122574</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>115</td>\n",
       "      <td>08 28 43.69423</td>\n",
       "      <td>-60 07 21.2673</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>16.100</td>\n",
       "      <td>0.000054</td>\n",
       "      <td>F8Ib/II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.7603</td>\n",
       "      <td>-4.06</td>\n",
       "      <td>2.48</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.140</td>\n",
       "      <td>7.310</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.673</td>\n",
       "      <td>5.330</td>\n",
       "      <td>5.176</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.073754</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5302258008774271488</td>\n",
       "      <td>6.696949</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1656.968771</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>1656.929552</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>1657.096064</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>7.108105</td>\n",
       "      <td>0.000188</td>\n",
       "      <td>7.597661</td>\n",
       "      <td>0.000371</td>\n",
       "      <td>6.500369</td>\n",
       "      <td>0.000218</td>\n",
       "      <td>0.510817</td>\n",
       "      <td>0.000447</td>\n",
       "      <td>0.663425</td>\n",
       "      <td>0.001019</td>\n",
       "      <td>0.381654</td>\n",
       "      <td>0.000695</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.338538</td>\n",
       "      <td>0.002023</td>\n",
       "      <td>0.101088</td>\n",
       "      <td>0.000977</td>\n",
       "      <td>4.968463</td>\n",
       "      <td>0.003267</td>\n",
       "      <td>3.020639</td>\n",
       "      <td>0.013065</td>\n",
       "      <td>46</td>\n",
       "      <td>46</td>\n",
       "      <td>46</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>211</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5307761545524640256</td>\n",
       "      <td>5307761545524640256</td>\n",
       "      <td>1585652729</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>147.172826</td>\n",
       "      <td>0.027636</td>\n",
       "      <td>-55.519528</td>\n",
       "      <td>0.030497</td>\n",
       "      <td>0.207293</td>\n",
       "      <td>0.035746</td>\n",
       "      <td>5.799020</td>\n",
       "      <td>-6.255851</td>\n",
       "      <td>0.057295</td>\n",
       "      <td>3.303246</td>\n",
       "      <td>0.055221</td>\n",
       "      <td>-0.014569</td>\n",
       "      <td>-0.300394</td>\n",
       "      <td>-0.218213</td>\n",
       "      <td>0.122138</td>\n",
       "      <td>0.184330</td>\n",
       "      <td>0.264695</td>\n",
       "      <td>-0.297347</td>\n",
       "      <td>0.392264</td>\n",
       "      <td>0.216317</td>\n",
       "      <td>0.175578</td>\n",
       "      <td>223</td>\n",
       "      <td>223</td>\n",
       "      <td>213</td>\n",
       "      <td>10</td>\n",
       "      <td>9.700293</td>\n",
       "      <td>474.05273</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>273.443270</td>\n",
       "      <td>1.461784</td>\n",
       "      <td>0.008608</td>\n",
       "      <td>-0.027319</td>\n",
       "      <td>25</td>\n",
       "      <td>14</td>\n",
       "      <td>0.041542</td>\n",
       "      <td>0</td>\n",
       "      <td>42</td>\n",
       "      <td>False</td>\n",
       "      <td>353</td>\n",
       "      <td>2.201802e+06</td>\n",
       "      <td>1.624420e+04</td>\n",
       "      <td>135.543880</td>\n",
       "      <td>9.831420</td>\n",
       "      <td>39</td>\n",
       "      <td>7.459685e+05</td>\n",
       "      <td>2.026342e+04</td>\n",
       "      <td>36.813545</td>\n",
       "      <td>10.669587</td>\n",
       "      <td>40</td>\n",
       "      <td>2.018661e+06</td>\n",
       "      <td>3.793524e+04</td>\n",
       "      <td>53.213340</td>\n",
       "      <td>8.999262</td>\n",
       "      <td>1.255621</td>\n",
       "      <td>0</td>\n",
       "      <td>1.670325</td>\n",
       "      <td>0.838167</td>\n",
       "      <td>0.832158</td>\n",
       "      <td>14.952918</td>\n",
       "      <td>10.203984</td>\n",
       "      <td>8</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>279.028547</td>\n",
       "      <td>-1.369459</td>\n",
       "      <td>185.561213</td>\n",
       "      <td>-61.447076</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4269.8325</td>\n",
       "      <td>4029.8250</td>\n",
       "      <td>5208.6665</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>98.149895</td>\n",
       "      <td>65.956630</td>\n",
       "      <td>110.189230</td>\n",
       "      <td>2884.813500</td>\n",
       "      <td>2131.78420</td>\n",
       "      <td>3637.842800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>313</td>\n",
       "      <td>FN Vel</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.7263</td>\n",
       "      <td>7.686</td>\n",
       "      <td>7.264</td>\n",
       "      <td>7.067</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.64</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7891</td>\n",
       "      <td>435</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>147.17288</td>\n",
       "      <td>-55.51954</td>\n",
       "      <td>0.118676</td>\n",
       "      <td>V* FN Vel</td>\n",
       "      <td>147.172874</td>\n",
       "      <td>-55.519542</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>27</td>\n",
       "      <td>09 48 41.48965</td>\n",
       "      <td>-55 31 10.3510</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>** |Ce*|V* |*  |IR</td>\n",
       "      <td>14.950</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F9II+?</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2073</td>\n",
       "      <td>-5.96</td>\n",
       "      <td>3.37</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.240</td>\n",
       "      <td>10.250</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.855</td>\n",
       "      <td>7.344</td>\n",
       "      <td>7.137</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.109653</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5307761545524640256</td>\n",
       "      <td>5.324018</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1671.654358</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>1671.585126</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>1671.607111</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>9.788014</td>\n",
       "      <td>0.000136</td>\n",
       "      <td>10.565958</td>\n",
       "      <td>0.000393</td>\n",
       "      <td>8.952647</td>\n",
       "      <td>0.000149</td>\n",
       "      <td>0.470788</td>\n",
       "      <td>0.000670</td>\n",
       "      <td>0.604002</td>\n",
       "      <td>0.001743</td>\n",
       "      <td>0.378838</td>\n",
       "      <td>0.000502</td>\n",
       "      <td>0.299796</td>\n",
       "      <td>0.233781</td>\n",
       "      <td>0.318616</td>\n",
       "      <td>0.001099</td>\n",
       "      <td>0.072448</td>\n",
       "      <td>0.001640</td>\n",
       "      <td>4.605081</td>\n",
       "      <td>0.005284</td>\n",
       "      <td>2.698974</td>\n",
       "      <td>0.013622</td>\n",
       "      <td>38</td>\n",
       "      <td>35</td>\n",
       "      <td>36</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>212</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5308893149150949248</td>\n",
       "      <td>5308893149150949248</td>\n",
       "      <td>134049418</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>145.292721</td>\n",
       "      <td>0.024384</td>\n",
       "      <td>-53.816038</td>\n",
       "      <td>0.024821</td>\n",
       "      <td>0.164944</td>\n",
       "      <td>0.029660</td>\n",
       "      <td>5.561196</td>\n",
       "      <td>-4.572688</td>\n",
       "      <td>0.049766</td>\n",
       "      <td>2.959519</td>\n",
       "      <td>0.050930</td>\n",
       "      <td>0.013512</td>\n",
       "      <td>-0.365489</td>\n",
       "      <td>-0.031242</td>\n",
       "      <td>0.151805</td>\n",
       "      <td>0.264187</td>\n",
       "      <td>0.113497</td>\n",
       "      <td>-0.131731</td>\n",
       "      <td>0.119558</td>\n",
       "      <td>-0.163993</td>\n",
       "      <td>0.268147</td>\n",
       "      <td>245</td>\n",
       "      <td>245</td>\n",
       "      <td>233</td>\n",
       "      <td>12</td>\n",
       "      <td>11.183088</td>\n",
       "      <td>558.67004</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>398.414060</td>\n",
       "      <td>1.422801</td>\n",
       "      <td>0.006991</td>\n",
       "      <td>-0.020550</td>\n",
       "      <td>28</td>\n",
       "      <td>16</td>\n",
       "      <td>0.040017</td>\n",
       "      <td>0</td>\n",
       "      <td>51</td>\n",
       "      <td>False</td>\n",
       "      <td>398</td>\n",
       "      <td>6.367761e+05</td>\n",
       "      <td>5.222447e+03</td>\n",
       "      <td>121.930595</td>\n",
       "      <td>11.178399</td>\n",
       "      <td>42</td>\n",
       "      <td>2.105725e+05</td>\n",
       "      <td>7.256486e+03</td>\n",
       "      <td>29.018530</td>\n",
       "      <td>12.042884</td>\n",
       "      <td>43</td>\n",
       "      <td>6.619620e+05</td>\n",
       "      <td>1.386536e+04</td>\n",
       "      <td>47.742157</td>\n",
       "      <td>10.209837</td>\n",
       "      <td>1.370237</td>\n",
       "      <td>0</td>\n",
       "      <td>1.833047</td>\n",
       "      <td>0.864485</td>\n",
       "      <td>0.968562</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>277.097121</td>\n",
       "      <td>-0.774192</td>\n",
       "      <td>181.492097</td>\n",
       "      <td>-60.954815</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4072.0000</td>\n",
       "      <td>3900.6667</td>\n",
       "      <td>4246.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>77.167940</td>\n",
       "      <td>70.972885</td>\n",
       "      <td>84.095890</td>\n",
       "      <td>1475.025800</td>\n",
       "      <td>1048.04170</td>\n",
       "      <td>1902.009800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>308</td>\n",
       "      <td>CS Vel</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7712</td>\n",
       "      <td>8.771</td>\n",
       "      <td>8.246</td>\n",
       "      <td>8.011</td>\n",
       "      <td>0.12</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.63</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8231</td>\n",
       "      <td>414</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>145.29275</td>\n",
       "      <td>-53.81606</td>\n",
       "      <td>0.100850</td>\n",
       "      <td>V* CS Vel</td>\n",
       "      <td>145.292754</td>\n",
       "      <td>-53.816051</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>83</td>\n",
       "      <td>09 41 10.26096</td>\n",
       "      <td>-53 48 57.7827</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>*iC|V* |cC*|IR</td>\n",
       "      <td>27.530</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1649</td>\n",
       "      <td>-4.57</td>\n",
       "      <td>2.96</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.460</td>\n",
       "      <td>11.240</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.786</td>\n",
       "      <td>8.295</td>\n",
       "      <td>8.071</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.084426</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5308893149150949248</td>\n",
       "      <td>5.904818</td>\n",
       "      <td>0.000029</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1666.794975</td>\n",
       "      <td>0.000041</td>\n",
       "      <td>1666.770565</td>\n",
       "      <td>0.000041</td>\n",
       "      <td>1666.871156</td>\n",
       "      <td>0.000041</td>\n",
       "      <td>11.103050</td>\n",
       "      <td>0.000165</td>\n",
       "      <td>11.975824</td>\n",
       "      <td>0.000193</td>\n",
       "      <td>10.185242</td>\n",
       "      <td>0.000105</td>\n",
       "      <td>0.545812</td>\n",
       "      <td>0.000760</td>\n",
       "      <td>0.748318</td>\n",
       "      <td>0.000805</td>\n",
       "      <td>0.462636</td>\n",
       "      <td>0.000590</td>\n",
       "      <td>0.294961</td>\n",
       "      <td>0.233806</td>\n",
       "      <td>0.320049</td>\n",
       "      <td>0.001333</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.799260</td>\n",
       "      <td>0.003865</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>41</td>\n",
       "      <td>39</td>\n",
       "      <td>38</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>213</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5309174967720762496</td>\n",
       "      <td>5309174967720762496</td>\n",
       "      <td>1018747587</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>144.214407</td>\n",
       "      <td>0.025957</td>\n",
       "      <td>-53.032779</td>\n",
       "      <td>0.023928</td>\n",
       "      <td>0.312308</td>\n",
       "      <td>0.028536</td>\n",
       "      <td>10.944298</td>\n",
       "      <td>-5.111487</td>\n",
       "      <td>0.054429</td>\n",
       "      <td>3.956855</td>\n",
       "      <td>0.045869</td>\n",
       "      <td>-0.063917</td>\n",
       "      <td>-0.164916</td>\n",
       "      <td>-0.391738</td>\n",
       "      <td>0.060626</td>\n",
       "      <td>0.326147</td>\n",
       "      <td>0.115961</td>\n",
       "      <td>-0.175485</td>\n",
       "      <td>0.145806</td>\n",
       "      <td>-0.046767</td>\n",
       "      <td>0.055095</td>\n",
       "      <td>238</td>\n",
       "      <td>238</td>\n",
       "      <td>227</td>\n",
       "      <td>11</td>\n",
       "      <td>11.406555</td>\n",
       "      <td>558.29130</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.874072e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>273.966670</td>\n",
       "      <td>1.458335</td>\n",
       "      <td>0.006182</td>\n",
       "      <td>0.068669</td>\n",
       "      <td>29</td>\n",
       "      <td>15</td>\n",
       "      <td>0.040253</td>\n",
       "      <td>0</td>\n",
       "      <td>46</td>\n",
       "      <td>False</td>\n",
       "      <td>376</td>\n",
       "      <td>2.260078e+06</td>\n",
       "      <td>1.748449e+04</td>\n",
       "      <td>129.261870</td>\n",
       "      <td>9.803057</td>\n",
       "      <td>42</td>\n",
       "      <td>7.135011e+05</td>\n",
       "      <td>2.085355e+04</td>\n",
       "      <td>34.214850</td>\n",
       "      <td>10.717901</td>\n",
       "      <td>45</td>\n",
       "      <td>2.161397e+06</td>\n",
       "      <td>4.035477e+04</td>\n",
       "      <td>53.559887</td>\n",
       "      <td>8.925083</td>\n",
       "      <td>1.272035</td>\n",
       "      <td>0</td>\n",
       "      <td>1.792818</td>\n",
       "      <td>0.914844</td>\n",
       "      <td>0.877974</td>\n",
       "      <td>14.329658</td>\n",
       "      <td>7.293524</td>\n",
       "      <td>3</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>276.096845</td>\n",
       "      <td>-0.613226</td>\n",
       "      <td>179.434683</td>\n",
       "      <td>-60.800502</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4165.0000</td>\n",
       "      <td>4011.0134</td>\n",
       "      <td>4423.3335</td>\n",
       "      <td>0.7045</td>\n",
       "      <td>0.3576</td>\n",
       "      <td>1.4970</td>\n",
       "      <td>0.3602</td>\n",
       "      <td>0.1636</td>\n",
       "      <td>0.7391</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>71.370180</td>\n",
       "      <td>63.277225</td>\n",
       "      <td>76.955310</td>\n",
       "      <td>1380.982900</td>\n",
       "      <td>1174.92140</td>\n",
       "      <td>1587.044400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>306</td>\n",
       "      <td>AE Vel</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8533</td>\n",
       "      <td>7.589</td>\n",
       "      <td>7.096</td>\n",
       "      <td>6.867</td>\n",
       "      <td>0.14</td>\n",
       "      <td>0.11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.80</td>\n",
       "      <td>0.07</td>\n",
       "      <td>8026</td>\n",
       "      <td>433</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>144.21444</td>\n",
       "      <td>-53.03280</td>\n",
       "      <td>0.104266</td>\n",
       "      <td>V* AE Vel</td>\n",
       "      <td>144.214443</td>\n",
       "      <td>-53.032796</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>49</td>\n",
       "      <td>09 36 51.46635</td>\n",
       "      <td>-53 01 58.0663</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>14.900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3123</td>\n",
       "      <td>-5.11</td>\n",
       "      <td>3.96</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.500</td>\n",
       "      <td>10.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.512</td>\n",
       "      <td>7.103</td>\n",
       "      <td>6.887</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.100193</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5309174967720762496</td>\n",
       "      <td>7.134312</td>\n",
       "      <td>0.000027</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1661.734296</td>\n",
       "      <td>0.000038</td>\n",
       "      <td>1661.698277</td>\n",
       "      <td>0.000038</td>\n",
       "      <td>1661.859728</td>\n",
       "      <td>0.000038</td>\n",
       "      <td>9.692136</td>\n",
       "      <td>0.000217</td>\n",
       "      <td>10.507200</td>\n",
       "      <td>0.000540</td>\n",
       "      <td>8.829743</td>\n",
       "      <td>0.000231</td>\n",
       "      <td>0.685186</td>\n",
       "      <td>0.000726</td>\n",
       "      <td>0.899713</td>\n",
       "      <td>0.001429</td>\n",
       "      <td>0.551108</td>\n",
       "      <td>0.000797</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.378495</td>\n",
       "      <td>0.001283</td>\n",
       "      <td>0.209036</td>\n",
       "      <td>0.001030</td>\n",
       "      <td>4.914265</td>\n",
       "      <td>0.004176</td>\n",
       "      <td>2.640347</td>\n",
       "      <td>0.006729</td>\n",
       "      <td>40</td>\n",
       "      <td>38</td>\n",
       "      <td>38</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>214</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5311598634949142400</td>\n",
       "      <td>5311598634949142400</td>\n",
       "      <td>1319874143</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>139.319633</td>\n",
       "      <td>0.020641</td>\n",
       "      <td>-53.084848</td>\n",
       "      <td>0.022574</td>\n",
       "      <td>0.208720</td>\n",
       "      <td>0.024604</td>\n",
       "      <td>8.483041</td>\n",
       "      <td>-4.098905</td>\n",
       "      <td>0.044688</td>\n",
       "      <td>3.473838</td>\n",
       "      <td>0.042663</td>\n",
       "      <td>-0.121959</td>\n",
       "      <td>-0.164281</td>\n",
       "      <td>-0.224362</td>\n",
       "      <td>0.138215</td>\n",
       "      <td>0.191909</td>\n",
       "      <td>0.171350</td>\n",
       "      <td>-0.176469</td>\n",
       "      <td>0.153535</td>\n",
       "      <td>-0.088575</td>\n",
       "      <td>0.010209</td>\n",
       "      <td>239</td>\n",
       "      <td>239</td>\n",
       "      <td>237</td>\n",
       "      <td>2</td>\n",
       "      <td>6.227169</td>\n",
       "      <td>392.70224</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>330.226040</td>\n",
       "      <td>1.551298</td>\n",
       "      <td>0.006345</td>\n",
       "      <td>0.016413</td>\n",
       "      <td>27</td>\n",
       "      <td>15</td>\n",
       "      <td>0.034403</td>\n",
       "      <td>0</td>\n",
       "      <td>44</td>\n",
       "      <td>False</td>\n",
       "      <td>379</td>\n",
       "      <td>1.318440e+06</td>\n",
       "      <td>6.458457e+03</td>\n",
       "      <td>204.141660</td>\n",
       "      <td>10.388215</td>\n",
       "      <td>39</td>\n",
       "      <td>5.970840e+05</td>\n",
       "      <td>1.179870e+04</td>\n",
       "      <td>50.605920</td>\n",
       "      <td>10.911300</td>\n",
       "      <td>40</td>\n",
       "      <td>1.019411e+06</td>\n",
       "      <td>1.200679e+04</td>\n",
       "      <td>84.902900</td>\n",
       "      <td>9.741046</td>\n",
       "      <td>1.226067</td>\n",
       "      <td>0</td>\n",
       "      <td>1.170254</td>\n",
       "      <td>0.523085</td>\n",
       "      <td>0.647169</td>\n",
       "      <td>25.671283</td>\n",
       "      <td>6.327863</td>\n",
       "      <td>3</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>2.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>274.010967</td>\n",
       "      <td>-2.688400</td>\n",
       "      <td>174.834727</td>\n",
       "      <td>-62.783694</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4960.2500</td>\n",
       "      <td>4850.2246</td>\n",
       "      <td>5097.3250</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>49.409138</td>\n",
       "      <td>46.787487</td>\n",
       "      <td>51.676216</td>\n",
       "      <td>1331.445900</td>\n",
       "      <td>1061.42040</td>\n",
       "      <td>1601.471400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>310</td>\n",
       "      <td>DK Vel</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.3947</td>\n",
       "      <td>8.820</td>\n",
       "      <td>8.496</td>\n",
       "      <td>8.386</td>\n",
       "      <td>0.16</td>\n",
       "      <td>0.13</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.67</td>\n",
       "      <td>0.12</td>\n",
       "      <td>8421</td>\n",
       "      <td>418</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>139.31967</td>\n",
       "      <td>-53.08486</td>\n",
       "      <td>0.091652</td>\n",
       "      <td>V* DK Vel</td>\n",
       "      <td>139.319662</td>\n",
       "      <td>-53.084863</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>23</td>\n",
       "      <td>09 17 16.71893</td>\n",
       "      <td>-53 05 05.5058</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |** |cC*|*  |IR</td>\n",
       "      <td>25.670</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>3.47</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.490</td>\n",
       "      <td>10.720</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.872</td>\n",
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       "      <td>8.398</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.083281</td>\n",
       "      <td>369295549951641967</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1668.851901</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>1668.854208</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>1668.896766</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>10.408075</td>\n",
       "      <td>0.000080</td>\n",
       "      <td>10.923543</td>\n",
       "      <td>0.000183</td>\n",
       "      <td>9.755612</td>\n",
       "      <td>0.000112</td>\n",
       "      <td>0.292321</td>\n",
       "      <td>0.000390</td>\n",
       "      <td>0.367498</td>\n",
       "      <td>0.000644</td>\n",
       "      <td>0.220635</td>\n",
       "      <td>0.000551</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>0.141020</td>\n",
       "      <td>0.000990</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.594781</td>\n",
       "      <td>0.008466</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>37</td>\n",
       "      <td>33</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>215</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5311616398935271168</td>\n",
       "      <td>5311616398935271168</td>\n",
       "      <td>1394158816</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>140.006273</td>\n",
       "      <td>0.022653</td>\n",
       "      <td>-52.856185</td>\n",
       "      <td>0.024612</td>\n",
       "      <td>0.094581</td>\n",
       "      <td>0.026217</td>\n",
       "      <td>3.607662</td>\n",
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       "      <td>0.047664</td>\n",
       "      <td>3.875544</td>\n",
       "      <td>0.047792</td>\n",
       "      <td>-0.020930</td>\n",
       "      <td>-0.332489</td>\n",
       "      <td>-0.315325</td>\n",
       "      <td>0.003580</td>\n",
       "      <td>0.233202</td>\n",
       "      <td>0.026598</td>\n",
       "      <td>-0.397549</td>\n",
       "      <td>0.169360</td>\n",
       "      <td>-0.016456</td>\n",
       "      <td>0.197864</td>\n",
       "      <td>254</td>\n",
       "      <td>254</td>\n",
       "      <td>245</td>\n",
       "      <td>9</td>\n",
       "      <td>12.989443</td>\n",
       "      <td>650.59120</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>309.046600</td>\n",
       "      <td>1.409631</td>\n",
       "      <td>0.005911</td>\n",
       "      <td>0.017802</td>\n",
       "      <td>29</td>\n",
       "      <td>16</td>\n",
       "      <td>0.039136</td>\n",
       "      <td>0</td>\n",
       "      <td>48</td>\n",
       "      <td>False</td>\n",
       "      <td>388</td>\n",
       "      <td>7.884322e+05</td>\n",
       "      <td>6.275556e+03</td>\n",
       "      <td>125.635430</td>\n",
       "      <td>10.946455</td>\n",
       "      <td>41</td>\n",
       "      <td>2.281164e+05</td>\n",
       "      <td>7.344351e+03</td>\n",
       "      <td>31.060122</td>\n",
       "      <td>11.955996</td>\n",
       "      <td>41</td>\n",
       "      <td>8.398048e+05</td>\n",
       "      <td>1.738377e+04</td>\n",
       "      <td>48.309704</td>\n",
       "      <td>9.951474</td>\n",
       "      <td>1.354487</td>\n",
       "      <td>0</td>\n",
       "      <td>2.004522</td>\n",
       "      <td>1.009542</td>\n",
       "      <td>0.994981</td>\n",
       "      <td>55.081470</td>\n",
       "      <td>1.760436</td>\n",
       "      <td>2</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>274.137814</td>\n",
       "      <td>-2.233190</td>\n",
       "      <td>175.183942</td>\n",
       "      <td>-62.339415</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3887.6667</td>\n",
       "      <td>3692.0000</td>\n",
       "      <td>4204.1650</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>311</td>\n",
       "      <td>EX Vel</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1217</td>\n",
       "      <td>8.365</td>\n",
       "      <td>7.733</td>\n",
       "      <td>7.553</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.30</td>\n",
       "      <td>0.07</td>\n",
       "      <td>8871</td>\n",
       "      <td>393</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>140.00634</td>\n",
       "      <td>-52.85616</td>\n",
       "      <td>0.170634</td>\n",
       "      <td>V* EX Vel</td>\n",
       "      <td>140.006304</td>\n",
       "      <td>-52.856201</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>43</td>\n",
       "      <td>09 20 01.51303</td>\n",
       "      <td>-52 51 22.3254</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>32.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0946</td>\n",
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       "      <td>3.88</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>12.470</td>\n",
       "      <td>11.550</td>\n",
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       "      <td>8.270</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>0.090586</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5311616398935271168</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>1639.382577</td>\n",
       "      <td>0.001072</td>\n",
       "      <td>1639.053273</td>\n",
       "      <td>0.001072</td>\n",
       "      <td>1639.698382</td>\n",
       "      <td>0.001072</td>\n",
       "      <td>10.853251</td>\n",
       "      <td>0.001545</td>\n",
       "      <td>11.859876</td>\n",
       "      <td>0.000296</td>\n",
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       "      <td>0.056117</td>\n",
       "      <td>0.025045</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>4.914108</td>\n",
       "      <td>2.684559</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>40</td>\n",
       "      <td>40</td>\n",
       "      <td>40</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>216</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5312196047720402048</td>\n",
       "      <td>5312196047720402048</td>\n",
       "      <td>190750454</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>143.348840</td>\n",
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       "      <td>0.024010</td>\n",
       "      <td>0.275207</td>\n",
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       "      <td>3.858117</td>\n",
       "      <td>0.049242</td>\n",
       "      <td>-0.279525</td>\n",
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       "      <td>-0.322205</td>\n",
       "      <td>0.284841</td>\n",
       "      <td>0.162445</td>\n",
       "      <td>0.327630</td>\n",
       "      <td>-0.322847</td>\n",
       "      <td>0.189948</td>\n",
       "      <td>0.037639</td>\n",
       "      <td>-0.212934</td>\n",
       "      <td>248</td>\n",
       "      <td>248</td>\n",
       "      <td>236</td>\n",
       "      <td>12</td>\n",
       "      <td>10.234583</td>\n",
       "      <td>527.04790</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>398.267150</td>\n",
       "      <td>1.386648</td>\n",
       "      <td>0.006521</td>\n",
       "      <td>-0.010840</td>\n",
       "      <td>28</td>\n",
       "      <td>15</td>\n",
       "      <td>0.041851</td>\n",
       "      <td>0</td>\n",
       "      <td>47</td>\n",
       "      <td>False</td>\n",
       "      <td>381</td>\n",
       "      <td>6.788992e+05</td>\n",
       "      <td>4.701336e+03</td>\n",
       "      <td>144.405580</td>\n",
       "      <td>11.108852</td>\n",
       "      <td>38</td>\n",
       "      <td>1.909694e+05</td>\n",
       "      <td>5.375076e+03</td>\n",
       "      <td>35.528690</td>\n",
       "      <td>12.148978</td>\n",
       "      <td>40</td>\n",
       "      <td>7.165665e+05</td>\n",
       "      <td>1.310831e+04</td>\n",
       "      <td>54.665043</td>\n",
       "      <td>10.123778</td>\n",
       "      <td>1.336775</td>\n",
       "      <td>0</td>\n",
       "      <td>2.025200</td>\n",
       "      <td>1.040126</td>\n",
       "      <td>0.985074</td>\n",
       "      <td>11.780697</td>\n",
       "      <td>3.116113</td>\n",
       "      <td>10</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>1.5</td>\n",
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       "      <td>VARIABLE</td>\n",
       "      <td>275.524109</td>\n",
       "      <td>-0.759456</td>\n",
       "      <td>178.253080</td>\n",
       "      <td>-60.936486</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4077.8200</td>\n",
       "      <td>3984.4200</td>\n",
       "      <td>4184.4053</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>47.532307</td>\n",
       "      <td>45.141663</td>\n",
       "      <td>49.786870</td>\n",
       "      <td>562.839700</td>\n",
       "      <td>472.40204</td>\n",
       "      <td>653.277400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>312</td>\n",
       "      <td>FG Vel</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8098</td>\n",
       "      <td>8.509</td>\n",
       "      <td>7.961</td>\n",
       "      <td>7.719</td>\n",
       "      <td>0.02</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.45</td>\n",
       "      <td>0.07</td>\n",
       "      <td>8239</td>\n",
       "      <td>420</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>143.34883</td>\n",
       "      <td>-52.75586</td>\n",
       "      <td>0.056082</td>\n",
       "      <td>V* FG Vel</td>\n",
       "      <td>143.348876</td>\n",
       "      <td>-52.755862</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>25</td>\n",
       "      <td>09 33 23.73015</td>\n",
       "      <td>-52 45 21.1043</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR</td>\n",
       "      <td>11.780</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2752</td>\n",
       "      <td>-4.98</td>\n",
       "      <td>3.86</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.442</td>\n",
       "      <td>7.906</td>\n",
       "      <td>7.665</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.097646</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5312196047720402048</td>\n",
       "      <td>6.453800</td>\n",
       "      <td>0.000065</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1661.533655</td>\n",
       "      <td>0.000092</td>\n",
       "      <td>1661.502105</td>\n",
       "      <td>0.000092</td>\n",
       "      <td>1661.539714</td>\n",
       "      <td>0.000092</td>\n",
       "      <td>11.061425</td>\n",
       "      <td>0.000268</td>\n",
       "      <td>12.069070</td>\n",
       "      <td>0.000356</td>\n",
       "      <td>10.076856</td>\n",
       "      <td>0.000118</td>\n",
       "      <td>0.416159</td>\n",
       "      <td>0.001145</td>\n",
       "      <td>0.536439</td>\n",
       "      <td>0.001448</td>\n",
       "      <td>0.356852</td>\n",
       "      <td>0.000544</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.340282</td>\n",
       "      <td>0.001732</td>\n",
       "      <td>0.069565</td>\n",
       "      <td>0.001727</td>\n",
       "      <td>4.890671</td>\n",
       "      <td>0.010048</td>\n",
       "      <td>3.443304</td>\n",
       "      <td>0.028130</td>\n",
       "      <td>39</td>\n",
       "      <td>36</td>\n",
       "      <td>40</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>217</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5313887130948758016</td>\n",
       "      <td>5313887130948758016</td>\n",
       "      <td>902093112</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>142.920692</td>\n",
       "      <td>0.028170</td>\n",
       "      <td>-49.654989</td>\n",
       "      <td>0.029102</td>\n",
       "      <td>0.391059</td>\n",
       "      <td>0.032465</td>\n",
       "      <td>12.045588</td>\n",
       "      <td>-5.690577</td>\n",
       "      <td>0.056362</td>\n",
       "      <td>3.709855</td>\n",
       "      <td>0.054636</td>\n",
       "      <td>-0.069757</td>\n",
       "      <td>-0.252721</td>\n",
       "      <td>-0.393970</td>\n",
       "      <td>0.123893</td>\n",
       "      <td>0.305185</td>\n",
       "      <td>0.163908</td>\n",
       "      <td>-0.399525</td>\n",
       "      <td>0.161600</td>\n",
       "      <td>-0.039924</td>\n",
       "      <td>0.059799</td>\n",
       "      <td>219</td>\n",
       "      <td>219</td>\n",
       "      <td>216</td>\n",
       "      <td>3</td>\n",
       "      <td>7.746649</td>\n",
       "      <td>412.45316</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>241.813170</td>\n",
       "      <td>1.418537</td>\n",
       "      <td>0.008993</td>\n",
       "      <td>0.072744</td>\n",
       "      <td>25</td>\n",
       "      <td>16</td>\n",
       "      <td>0.040275</td>\n",
       "      <td>0</td>\n",
       "      <td>48</td>\n",
       "      <td>False</td>\n",
       "      <td>353</td>\n",
       "      <td>4.933637e+06</td>\n",
       "      <td>6.279906e+04</td>\n",
       "      <td>78.562280</td>\n",
       "      <td>8.955448</td>\n",
       "      <td>45</td>\n",
       "      <td>1.646408e+06</td>\n",
       "      <td>5.389621e+04</td>\n",
       "      <td>30.547749</td>\n",
       "      <td>9.810044</td>\n",
       "      <td>45</td>\n",
       "      <td>5.496274e+06</td>\n",
       "      <td>1.218660e+05</td>\n",
       "      <td>45.100960</td>\n",
       "      <td>7.911749</td>\n",
       "      <td>1.447752</td>\n",
       "      <td>0</td>\n",
       "      <td>1.898295</td>\n",
       "      <td>0.854596</td>\n",
       "      <td>1.043699</td>\n",
       "      <td>31.491871</td>\n",
       "      <td>7.927117</td>\n",
       "      <td>7</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>273.221401</td>\n",
       "      <td>1.334685</td>\n",
       "      <td>173.927596</td>\n",
       "      <td>-58.707833</td>\n",
       "      <td>102001.0</td>\n",
       "      <td>4061.8625</td>\n",
       "      <td>3906.0000</td>\n",
       "      <td>4445.3604</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>91.343130</td>\n",
       "      <td>76.262740</td>\n",
       "      <td>98.778370</td>\n",
       "      <td>2046.196900</td>\n",
       "      <td>1779.76610</td>\n",
       "      <td>2312.627700</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>368</td>\n",
       "      <td>DR Vel</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0492</td>\n",
       "      <td>6.583</td>\n",
       "      <td>6.035</td>\n",
       "      <td>5.811</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>0.13</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.36</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8054</td>\n",
       "      <td>439</td>\n",
       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
       "      <td>142.92073</td>\n",
       "      <td>-49.65500</td>\n",
       "      <td>0.097440</td>\n",
       "      <td>V* DR Vel</td>\n",
       "      <td>142.920729</td>\n",
       "      <td>-49.655005</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>63</td>\n",
       "      <td>09 31 40.97506</td>\n",
       "      <td>-49 39 18.0192</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>NaN</td>\n",
       "      <td>20.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3911</td>\n",
       "      <td>-5.69</td>\n",
       "      <td>3.71</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.500</td>\n",
       "      <td>9.250</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.440</td>\n",
       "      <td>5.947</td>\n",
       "      <td>5.732</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.105292</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5313887130948758016</td>\n",
       "      <td>11.200643</td>\n",
       "      <td>0.000133</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1639.544618</td>\n",
       "      <td>0.000189</td>\n",
       "      <td>1639.431416</td>\n",
       "      <td>0.000189</td>\n",
       "      <td>1639.585292</td>\n",
       "      <td>0.000189</td>\n",
       "      <td>8.877501</td>\n",
       "      <td>0.000144</td>\n",
       "      <td>9.833331</td>\n",
       "      <td>0.000284</td>\n",
       "      <td>7.946682</td>\n",
       "      <td>0.000172</td>\n",
       "      <td>0.550620</td>\n",
       "      <td>0.000658</td>\n",
       "      <td>0.713780</td>\n",
       "      <td>0.001364</td>\n",
       "      <td>0.478360</td>\n",
       "      <td>0.000861</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.031830</td>\n",
       "      <td>0.000860</td>\n",
       "      <td>0.193846</td>\n",
       "      <td>0.001966</td>\n",
       "      <td>3.429708</td>\n",
       "      <td>0.045838</td>\n",
       "      <td>0.378744</td>\n",
       "      <td>0.005540</td>\n",
       "      <td>39</td>\n",
       "      <td>35</td>\n",
       "      <td>33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>218</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5324034867356093056</td>\n",
       "      <td>5324034867356093056</td>\n",
       "      <td>39015344</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>137.065547</td>\n",
       "      <td>0.032432</td>\n",
       "      <td>-51.436255</td>\n",
       "      <td>0.040065</td>\n",
       "      <td>1.007410</td>\n",
       "      <td>0.037289</td>\n",
       "      <td>27.016060</td>\n",
       "      <td>-10.491429</td>\n",
       "      <td>0.065326</td>\n",
       "      <td>5.633114</td>\n",
       "      <td>0.070415</td>\n",
       "      <td>-0.093611</td>\n",
       "      <td>-0.331213</td>\n",
       "      <td>-0.259449</td>\n",
       "      <td>0.094029</td>\n",
       "      <td>0.181569</td>\n",
       "      <td>0.099443</td>\n",
       "      <td>-0.622356</td>\n",
       "      <td>0.275866</td>\n",
       "      <td>0.038353</td>\n",
       "      <td>0.127907</td>\n",
       "      <td>168</td>\n",
       "      <td>168</td>\n",
       "      <td>166</td>\n",
       "      <td>2</td>\n",
       "      <td>1.563448</td>\n",
       "      <td>189.97081</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>118.026710</td>\n",
       "      <td>1.480627</td>\n",
       "      <td>0.009100</td>\n",
       "      <td>-0.234697</td>\n",
       "      <td>19</td>\n",
       "      <td>13</td>\n",
       "      <td>0.050982</td>\n",
       "      <td>0</td>\n",
       "      <td>45</td>\n",
       "      <td>False</td>\n",
       "      <td>309</td>\n",
       "      <td>2.460709e+07</td>\n",
       "      <td>1.528952e+05</td>\n",
       "      <td>160.940920</td>\n",
       "      <td>7.210715</td>\n",
       "      <td>36</td>\n",
       "      <td>3.367831e+06</td>\n",
       "      <td>7.367449e+05</td>\n",
       "      <td>4.571232</td>\n",
       "      <td>9.033012</td>\n",
       "      <td>34</td>\n",
       "      <td>2.167202e+07</td>\n",
       "      <td>3.289273e+05</td>\n",
       "      <td>65.886960</td>\n",
       "      <td>6.422172</td>\n",
       "      <td>1.017587</td>\n",
       "      <td>0</td>\n",
       "      <td>2.610841</td>\n",
       "      <td>1.822297</td>\n",
       "      <td>0.788544</td>\n",
       "      <td>9.370789</td>\n",
       "      <td>2.501225</td>\n",
       "      <td>17</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>271.863115</td>\n",
       "      <td>-2.558834</td>\n",
       "      <td>170.233604</td>\n",
       "      <td>-62.411852</td>\n",
       "      <td>101001.0</td>\n",
       "      <td>3830.0000</td>\n",
       "      <td>3489.0000</td>\n",
       "      <td>3915.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>96.079560</td>\n",
       "      <td>91.952810</td>\n",
       "      <td>115.778150</td>\n",
       "      <td>1789.582900</td>\n",
       "      <td>1690.04140</td>\n",
       "      <td>1889.124400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>367</td>\n",
       "      <td>BG Vel</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8403</td>\n",
       "      <td>5.410</td>\n",
       "      <td>4.972</td>\n",
       "      <td>4.797</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>0.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.52</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8000</td>\n",
       "      <td>446</td>\n",
       "      <td>b|</td>\n",
       "      <td>LEM</td>\n",
       "      <td>137.06562</td>\n",
       "      <td>-51.43628</td>\n",
       "      <td>0.187375</td>\n",
       "      <td>V* BG Vel</td>\n",
       "      <td>137.065619</td>\n",
       "      <td>-51.436279</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>93</td>\n",
       "      <td>09 08 15.74864</td>\n",
       "      <td>-51 26 10.6049</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|IR |V* |*  |SB*</td>\n",
       "      <td>10.900</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>F7/8II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.0074</td>\n",
       "      <td>-10.49</td>\n",
       "      <td>5.63</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.820</td>\n",
       "      <td>7.690</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.529</td>\n",
       "      <td>5.085</td>\n",
       "      <td>4.875</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.184575</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5324034867356093056</td>\n",
       "      <td>6.924363</td>\n",
       "      <td>0.000048</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1649.160907</td>\n",
       "      <td>0.000067</td>\n",
       "      <td>1649.163576</td>\n",
       "      <td>0.000067</td>\n",
       "      <td>1649.368842</td>\n",
       "      <td>0.000067</td>\n",
       "      <td>7.222505</td>\n",
       "      <td>0.000110</td>\n",
       "      <td>7.928703</td>\n",
       "      <td>0.000227</td>\n",
       "      <td>6.442942</td>\n",
       "      <td>0.000214</td>\n",
       "      <td>0.356073</td>\n",
       "      <td>0.000504</td>\n",
       "      <td>0.460251</td>\n",
       "      <td>0.001379</td>\n",
       "      <td>0.285629</td>\n",
       "      <td>0.001734</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.284615</td>\n",
       "      <td>0.001546</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.100472</td>\n",
       "      <td>0.006544</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>29</td>\n",
       "      <td>25</td>\n",
       "      <td>24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>219</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5327836325732931840</td>\n",
       "      <td>5327836325732931840</td>\n",
       "      <td>1684103498</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>131.232855</td>\n",
       "      <td>0.024606</td>\n",
       "      <td>-50.560020</td>\n",
       "      <td>0.029295</td>\n",
       "      <td>0.407380</td>\n",
       "      <td>0.029342</td>\n",
       "      <td>13.884062</td>\n",
       "      <td>-4.874204</td>\n",
       "      <td>0.049437</td>\n",
       "      <td>4.413171</td>\n",
       "      <td>0.056292</td>\n",
       "      <td>-0.266073</td>\n",
       "      <td>-0.187506</td>\n",
       "      <td>-0.127327</td>\n",
       "      <td>0.210989</td>\n",
       "      <td>0.272083</td>\n",
       "      <td>0.242390</td>\n",
       "      <td>-0.431694</td>\n",
       "      <td>0.249286</td>\n",
       "      <td>-0.033480</td>\n",
       "      <td>-0.174918</td>\n",
       "      <td>203</td>\n",
       "      <td>203</td>\n",
       "      <td>201</td>\n",
       "      <td>2</td>\n",
       "      <td>4.057615</td>\n",
       "      <td>286.95230</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>244.198030</td>\n",
       "      <td>1.466721</td>\n",
       "      <td>0.007435</td>\n",
       "      <td>-0.070357</td>\n",
       "      <td>24</td>\n",
       "      <td>15</td>\n",
       "      <td>0.043656</td>\n",
       "      <td>0</td>\n",
       "      <td>28</td>\n",
       "      <td>True</td>\n",
       "      <td>231</td>\n",
       "      <td>3.614442e+06</td>\n",
       "      <td>5.054781e+04</td>\n",
       "      <td>71.505424</td>\n",
       "      <td>9.293263</td>\n",
       "      <td>25</td>\n",
       "      <td>1.367514e+06</td>\n",
       "      <td>5.377636e+04</td>\n",
       "      <td>25.429650</td>\n",
       "      <td>10.011559</td>\n",
       "      <td>25</td>\n",
       "      <td>3.397763e+06</td>\n",
       "      <td>8.015243e+04</td>\n",
       "      <td>42.391270</td>\n",
       "      <td>8.433937</td>\n",
       "      <td>1.318399</td>\n",
       "      <td>0</td>\n",
       "      <td>1.577622</td>\n",
       "      <td>0.718296</td>\n",
       "      <td>0.859325</td>\n",
       "      <td>-1.409990</td>\n",
       "      <td>7.378575</td>\n",
       "      <td>8</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>268.813036</td>\n",
       "      <td>-4.788253</td>\n",
       "      <td>162.611785</td>\n",
       "      <td>-63.974537</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4512.2500</td>\n",
       "      <td>4260.0000</td>\n",
       "      <td>4873.4004</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>54.240360</td>\n",
       "      <td>46.499115</td>\n",
       "      <td>60.854076</td>\n",
       "      <td>1098.784400</td>\n",
       "      <td>970.03960</td>\n",
       "      <td>1227.529300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>371</td>\n",
       "      <td>ST Vel</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7678</td>\n",
       "      <td>7.244</td>\n",
       "      <td>6.734</td>\n",
       "      <td>6.538</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>0.00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.19</td>\n",
       "      <td>0.07</td>\n",
       "      <td>8158</td>\n",
       "      <td>442</td>\n",
       "      <td>c</td>\n",
       "      <td>LEM</td>\n",
       "      <td>131.23288</td>\n",
       "      <td>-50.56004</td>\n",
       "      <td>0.091036</td>\n",
       "      <td>V* ST Vel</td>\n",
       "      <td>131.232888</td>\n",
       "      <td>-50.560039</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>59</td>\n",
       "      <td>08 44 55.89324</td>\n",
       "      <td>-50 33 36.1408</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |*  |IR |SB*</td>\n",
       "      <td>7.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>K</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4074</td>\n",
       "      <td>-4.87</td>\n",
       "      <td>4.41</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.890</td>\n",
       "      <td>9.690</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.215</td>\n",
       "      <td>6.681</td>\n",
       "      <td>6.484</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.101916</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5327836325732931840</td>\n",
       "      <td>5.859351</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1715.991575</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>1715.893926</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>1716.050275</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>9.204985</td>\n",
       "      <td>0.000126</td>\n",
       "      <td>9.958570</td>\n",
       "      <td>0.000320</td>\n",
       "      <td>8.388412</td>\n",
       "      <td>0.000196</td>\n",
       "      <td>0.574939</td>\n",
       "      <td>0.000518</td>\n",
       "      <td>0.727697</td>\n",
       "      <td>0.001799</td>\n",
       "      <td>0.460993</td>\n",
       "      <td>0.001314</td>\n",
       "      <td>0.025960</td>\n",
       "      <td>0.233778</td>\n",
       "      <td>0.399762</td>\n",
       "      <td>0.000988</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.455060</td>\n",
       "      <td>0.004030</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>23</td>\n",
       "      <td>22</td>\n",
       "      <td>21</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>220</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5329838158460391296</td>\n",
       "      <td>5329838158460391296</td>\n",
       "      <td>99654822</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>131.222759</td>\n",
       "      <td>0.030701</td>\n",
       "      <td>-46.342961</td>\n",
       "      <td>0.036130</td>\n",
       "      <td>0.408669</td>\n",
       "      <td>0.041087</td>\n",
       "      <td>9.946515</td>\n",
       "      <td>-4.550365</td>\n",
       "      <td>0.062899</td>\n",
       "      <td>4.676230</td>\n",
       "      <td>0.067783</td>\n",
       "      <td>-0.138933</td>\n",
       "      <td>-0.372466</td>\n",
       "      <td>0.091255</td>\n",
       "      <td>0.012653</td>\n",
       "      <td>0.443752</td>\n",
       "      <td>0.033742</td>\n",
       "      <td>-0.203011</td>\n",
       "      <td>-0.032052</td>\n",
       "      <td>0.045347</td>\n",
       "      <td>-0.029334</td>\n",
       "      <td>202</td>\n",
       "      <td>202</td>\n",
       "      <td>198</td>\n",
       "      <td>4</td>\n",
       "      <td>3.560051</td>\n",
       "      <td>270.89685</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>147.370360</td>\n",
       "      <td>1.540307</td>\n",
       "      <td>0.009868</td>\n",
       "      <td>-0.161332</td>\n",
       "      <td>23</td>\n",
       "      <td>14</td>\n",
       "      <td>0.043659</td>\n",
       "      <td>0</td>\n",
       "      <td>33</td>\n",
       "      <td>False</td>\n",
       "      <td>248</td>\n",
       "      <td>1.091270e+07</td>\n",
       "      <td>1.169825e+05</td>\n",
       "      <td>93.284960</td>\n",
       "      <td>8.093534</td>\n",
       "      <td>26</td>\n",
       "      <td>4.729312e+06</td>\n",
       "      <td>1.886883e+05</td>\n",
       "      <td>25.064146</td>\n",
       "      <td>8.664393</td>\n",
       "      <td>28</td>\n",
       "      <td>8.617476e+06</td>\n",
       "      <td>2.115564e+05</td>\n",
       "      <td>40.733707</td>\n",
       "      <td>7.423470</td>\n",
       "      <td>1.223051</td>\n",
       "      <td>0</td>\n",
       "      <td>1.240924</td>\n",
       "      <td>0.570859</td>\n",
       "      <td>0.670065</td>\n",
       "      <td>26.421811</td>\n",
       "      <td>4.622618</td>\n",
       "      <td>10</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>265.493629</td>\n",
       "      <td>-2.179080</td>\n",
       "      <td>157.481464</td>\n",
       "      <td>-60.496641</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5232.7334</td>\n",
       "      <td>4749.1000</td>\n",
       "      <td>6280.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>63.570880</td>\n",
       "      <td>44.136326</td>\n",
       "      <td>77.177870</td>\n",
       "      <td>2729.767300</td>\n",
       "      <td>2330.63720</td>\n",
       "      <td>3128.897500</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>373</td>\n",
       "      <td>SX Vel</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.9800</td>\n",
       "      <td>6.500</td>\n",
       "      <td>6.133</td>\n",
       "      <td>5.991</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.49</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8334</td>\n",
       "      <td>439</td>\n",
       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
       "      <td>131.22279</td>\n",
       "      <td>-46.34299</td>\n",
       "      <td>0.129617</td>\n",
       "      <td>V* SX Vel</td>\n",
       "      <td>131.222787</td>\n",
       "      <td>-46.342981</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>105</td>\n",
       "      <td>08 44 53.46890</td>\n",
       "      <td>-46 20 34.7328</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>30.900</td>\n",
       "      <td>0.000103</td>\n",
       "      <td>F8II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4087</td>\n",
       "      <td>-4.55</td>\n",
       "      <td>4.68</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.190</td>\n",
       "      <td>8.330</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.540</td>\n",
       "      <td>6.110</td>\n",
       "      <td>5.946</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.101134</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5329838158460391296</td>\n",
       "      <td>9.561128</td>\n",
       "      <td>0.000443</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1706.715950</td>\n",
       "      <td>0.000627</td>\n",
       "      <td>1707.688052</td>\n",
       "      <td>0.000627</td>\n",
       "      <td>1707.796322</td>\n",
       "      <td>0.000627</td>\n",
       "      <td>7.973036</td>\n",
       "      <td>0.000344</td>\n",
       "      <td>8.525668</td>\n",
       "      <td>0.000430</td>\n",
       "      <td>7.354811</td>\n",
       "      <td>0.000467</td>\n",
       "      <td>0.599419</td>\n",
       "      <td>0.001600</td>\n",
       "      <td>0.797626</td>\n",
       "      <td>0.002641</td>\n",
       "      <td>0.483332</td>\n",
       "      <td>0.001792</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.313371</td>\n",
       "      <td>0.003766</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.819644</td>\n",
       "      <td>0.006168</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>25</td>\n",
       "      <td>22</td>\n",
       "      <td>21</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>221</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5332375453374624640</td>\n",
       "      <td>5332375453374624640</td>\n",
       "      <td>915092055</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>178.073783</td>\n",
       "      <td>0.021236</td>\n",
       "      <td>-65.404182</td>\n",
       "      <td>0.021178</td>\n",
       "      <td>0.264245</td>\n",
       "      <td>0.026353</td>\n",
       "      <td>10.027018</td>\n",
       "      <td>-5.913366</td>\n",
       "      <td>0.041904</td>\n",
       "      <td>0.328285</td>\n",
       "      <td>0.038155</td>\n",
       "      <td>0.005606</td>\n",
       "      <td>-0.175570</td>\n",
       "      <td>-0.461445</td>\n",
       "      <td>-0.031270</td>\n",
       "      <td>0.162848</td>\n",
       "      <td>0.048377</td>\n",
       "      <td>-0.319505</td>\n",
       "      <td>0.301148</td>\n",
       "      <td>0.185756</td>\n",
       "      <td>0.055422</td>\n",
       "      <td>305</td>\n",
       "      <td>305</td>\n",
       "      <td>299</td>\n",
       "      <td>6</td>\n",
       "      <td>4.522024</td>\n",
       "      <td>417.00848</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>241.672070</td>\n",
       "      <td>1.486912</td>\n",
       "      <td>0.005653</td>\n",
       "      <td>-0.110930</td>\n",
       "      <td>34</td>\n",
       "      <td>17</td>\n",
       "      <td>0.032846</td>\n",
       "      <td>0</td>\n",
       "      <td>39</td>\n",
       "      <td>False</td>\n",
       "      <td>331</td>\n",
       "      <td>3.374636e+06</td>\n",
       "      <td>3.431708e+04</td>\n",
       "      <td>98.336940</td>\n",
       "      <td>9.367798</td>\n",
       "      <td>39</td>\n",
       "      <td>1.296798e+06</td>\n",
       "      <td>5.443976e+04</td>\n",
       "      <td>23.820782</td>\n",
       "      <td>10.069208</td>\n",
       "      <td>38</td>\n",
       "      <td>2.963565e+06</td>\n",
       "      <td>8.757362e+04</td>\n",
       "      <td>33.840843</td>\n",
       "      <td>8.582384</td>\n",
       "      <td>1.262466</td>\n",
       "      <td>0</td>\n",
       "      <td>1.486824</td>\n",
       "      <td>0.701410</td>\n",
       "      <td>0.785414</td>\n",
       "      <td>-23.762887</td>\n",
       "      <td>4.035968</td>\n",
       "      <td>8</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>296.824698</td>\n",
       "      <td>-3.236110</td>\n",
       "      <td>219.983975</td>\n",
       "      <td>-57.119071</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5076.9330</td>\n",
       "      <td>4469.1797</td>\n",
       "      <td>6175.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>58.873062</td>\n",
       "      <td>39.796566</td>\n",
       "      <td>75.973800</td>\n",
       "      <td>2074.597000</td>\n",
       "      <td>1726.88650</td>\n",
       "      <td>2422.307400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>332</td>\n",
       "      <td>UU Mus</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0658</td>\n",
       "      <td>7.469</td>\n",
       "      <td>7.004</td>\n",
       "      <td>6.818</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.19</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.51</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7097</td>\n",
       "      <td>414</td>\n",
       "      <td>b</td>\n",
       "      <td>ROM</td>\n",
       "      <td>178.07385</td>\n",
       "      <td>-65.40418</td>\n",
       "      <td>0.101044</td>\n",
       "      <td>V* UU Mus</td>\n",
       "      <td>178.073844</td>\n",
       "      <td>-65.404184</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104</td>\n",
       "      <td>11 52 17.72254</td>\n",
       "      <td>-65 24 15.0607</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |*  |IR</td>\n",
       "      <td>-15.700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7/G0p</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2642</td>\n",
       "      <td>-5.91</td>\n",
       "      <td>0.33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.500</td>\n",
       "      <td>9.540</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.602</td>\n",
       "      <td>7.119</td>\n",
       "      <td>6.966</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.091798</td>\n",
       "      <td>369295549951641967</td>\n",
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       "      <td>1699.918991</td>\n",
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       "      <td>DCEP</td>\n",
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       "      <td>FUNDAMENTAL</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>222</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5333259323269569792</td>\n",
       "      <td>5333259323269569792</td>\n",
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       "      <td>300</td>\n",
       "      <td>2.136354e+06</td>\n",
       "      <td>1.759194e+04</td>\n",
       "      <td>121.439400</td>\n",
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       "      <td>VARIABLE</td>\n",
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       "      <td>100001.0</td>\n",
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       "      <td>200111.0</td>\n",
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       "      <td>732.71360</td>\n",
       "      <td>955.791260</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
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       "    <tr>\n",
       "      <th>223</th>\n",
       "      <td>1635721458409799680</td>\n",
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       "      <td>4.785606e+04</td>\n",
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       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
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       "      <td>DCEP</td>\n",
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       "      <td>MULTI</td>\n",
       "      <td>F/1O</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>224</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5334449269746243328</td>\n",
       "      <td>5334449269746243328</td>\n",
       "      <td>1529092563</td>\n",
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       "      <td>0.038059</td>\n",
       "      <td>0</td>\n",
       "      <td>39</td>\n",
       "      <td>False</td>\n",
       "      <td>328</td>\n",
       "      <td>8.124163e+06</td>\n",
       "      <td>4.205773e+04</td>\n",
       "      <td>193.166960</td>\n",
       "      <td>8.413919</td>\n",
       "      <td>36</td>\n",
       "      <td>4.027807e+06</td>\n",
       "      <td>8.057200e+04</td>\n",
       "      <td>49.990158</td>\n",
       "      <td>8.838716</td>\n",
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       "      <td>5.574227e+06</td>\n",
       "      <td>7.819497e+04</td>\n",
       "      <td>71.286255</td>\n",
       "      <td>7.896459</td>\n",
       "      <td>1.181910</td>\n",
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       "      <td>0.942258</td>\n",
       "      <td>0.424797</td>\n",
       "      <td>0.517461</td>\n",
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       "      <td>1.665084</td>\n",
       "      <td>12</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>2.5</td>\n",
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       "      <td>VARIABLE</td>\n",
       "      <td>292.792336</td>\n",
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       "      <td>210.828169</td>\n",
       "      <td>-56.523711</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5746.2500</td>\n",
       "      <td>5420.5000</td>\n",
       "      <td>6425.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>42.600143</td>\n",
       "      <td>34.074840</td>\n",
       "      <td>47.874184</td>\n",
       "      <td>1782.604100</td>\n",
       "      <td>1573.86940</td>\n",
       "      <td>1991.338900</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>135</td>\n",
       "      <td>AZ Cen</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.5066</td>\n",
       "      <td>7.222</td>\n",
       "      <td>6.944</td>\n",
       "      <td>6.831</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.06</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>11.55</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7392</td>\n",
       "      <td>437</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>171.30410</td>\n",
       "      <td>-61.36916</td>\n",
       "      <td>0.113421</td>\n",
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       "      <td>171.304104</td>\n",
       "      <td>-61.369157</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>110</td>\n",
       "      <td>11 25 12.98485</td>\n",
       "      <td>-61 22 08.9665</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |IR |V*</td>\n",
       "      <td>-12.100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7V</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4247</td>\n",
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       "      <td>2.17</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.220</td>\n",
       "      <td>8.410</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.267</td>\n",
       "      <td>6.983</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.116014</td>\n",
       "      <td>369295549951641967</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1688.200276</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>1688.207339</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>1688.237270</td>\n",
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       "      <td>0.000148</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>0.002278</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.400611</td>\n",
       "      <td>0.018708</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>32</td>\n",
       "      <td>32</td>\n",
       "      <td>30</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>225</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5334506135119058304</td>\n",
       "      <td>5334506135119058304</td>\n",
       "      <td>756593947</td>\n",
       "      <td>2015.5</td>\n",
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       "      <td>0.000000e+00</td>\n",
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       "      <td>False</td>\n",
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       "      <td>7.305322e+06</td>\n",
       "      <td>5.340338e+04</td>\n",
       "      <td>136.795120</td>\n",
       "      <td>8.529267</td>\n",
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       "      <td>3.050957e+06</td>\n",
       "      <td>8.614626e+04</td>\n",
       "      <td>35.416008</td>\n",
       "      <td>9.140298</td>\n",
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       "      <td>5.924163e+06</td>\n",
       "      <td>1.031921e+05</td>\n",
       "      <td>57.409103</td>\n",
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       "      <td>100001.0</td>\n",
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       "      <td>200111.0</td>\n",
       "      <td>40.918396</td>\n",
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       "      <td>50.478910</td>\n",
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       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>134</td>\n",
       "      <td>AY Cen</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7251</td>\n",
       "      <td>6.808</td>\n",
       "      <td>6.431</td>\n",
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       "      <td>0.07</td>\n",
       "      <td>7496</td>\n",
       "      <td>444</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
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       "      <td>-60.73462</td>\n",
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       "      <td>171.273980</td>\n",
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       "      <td>0.000</td>\n",
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       "      <td>63</td>\n",
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       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-15.500</td>\n",
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       "      <td>K0</td>\n",
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       "      <td>0.108522</td>\n",
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       "      <td>1685.936835</td>\n",
       "      <td>0.000019</td>\n",
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       "      <td>33</td>\n",
       "      <td>32</td>\n",
       "      <td>28</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>226</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5334591003669216000</td>\n",
       "      <td>5334591003669216000</td>\n",
       "      <td>758977420</td>\n",
       "      <td>2015.5</td>\n",
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       "      <td>0.108266</td>\n",
       "      <td>0.181266</td>\n",
       "      <td>0.085837</td>\n",
       "      <td>326</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
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       "      <td>0.031408</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>False</td>\n",
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       "      <td>2.381264e+06</td>\n",
       "      <td>1.511632e+04</td>\n",
       "      <td>157.529370</td>\n",
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       "      <td>9.392102e+05</td>\n",
       "      <td>2.156706e+04</td>\n",
       "      <td>43.548363</td>\n",
       "      <td>10.419481</td>\n",
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       "      <td>1.939275e+06</td>\n",
       "      <td>2.569494e+04</td>\n",
       "      <td>75.473045</td>\n",
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       "      <td>100001.0</td>\n",
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       "      <td>2705.579800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>136</td>\n",
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       "      <td>7.539</td>\n",
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       "      <td>LIII</td>\n",
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       "      <td>V* BB Cen</td>\n",
       "      <td>178.389742</td>\n",
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       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>63</td>\n",
       "      <td>11 53 33.53819</td>\n",
       "      <td>-62 51 07.9186</td>\n",
       "      <td>deltaCep</td>\n",
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       "      <td>-13.490</td>\n",
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       "      <td>F5</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.990</td>\n",
       "      <td>10.110</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.922</td>\n",
       "      <td>7.539</td>\n",
       "      <td>7.369</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.099449</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5334591003669216000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.997645</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1687.900403</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>1687.884743</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>1687.993099</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>9.723760</td>\n",
       "      <td>0.000059</td>\n",
       "      <td>10.324281</td>\n",
       "      <td>0.000214</td>\n",
       "      <td>9.021945</td>\n",
       "      <td>0.000141</td>\n",
       "      <td>0.337617</td>\n",
       "      <td>0.000255</td>\n",
       "      <td>0.425950</td>\n",
       "      <td>0.001065</td>\n",
       "      <td>0.226492</td>\n",
       "      <td>0.000606</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.166198</td>\n",
       "      <td>0.000953</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.541140</td>\n",
       "      <td>0.004562</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>35</td>\n",
       "      <td>31</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>227</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5336389564126521728</td>\n",
       "      <td>5336389564126521728</td>\n",
       "      <td>1281795000</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>175.700842</td>\n",
       "      <td>0.025771</td>\n",
       "      <td>-58.993388</td>\n",
       "      <td>0.030152</td>\n",
       "      <td>0.099202</td>\n",
       "      <td>0.030966</td>\n",
       "      <td>3.203606</td>\n",
       "      <td>-6.408767</td>\n",
       "      <td>0.049994</td>\n",
       "      <td>1.716461</td>\n",
       "      <td>0.053584</td>\n",
       "      <td>0.124227</td>\n",
       "      <td>-0.230324</td>\n",
       "      <td>-0.493582</td>\n",
       "      <td>-0.147648</td>\n",
       "      <td>0.106478</td>\n",
       "      <td>-0.112166</td>\n",
       "      <td>-0.627789</td>\n",
       "      <td>0.024853</td>\n",
       "      <td>0.119413</td>\n",
       "      <td>0.107494</td>\n",
       "      <td>260</td>\n",
       "      <td>260</td>\n",
       "      <td>252</td>\n",
       "      <td>8</td>\n",
       "      <td>8.547338</td>\n",
       "      <td>488.78937</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>338.516800</td>\n",
       "      <td>1.444014</td>\n",
       "      <td>0.006972</td>\n",
       "      <td>0.005320</td>\n",
       "      <td>30</td>\n",
       "      <td>17</td>\n",
       "      <td>0.042041</td>\n",
       "      <td>0</td>\n",
       "      <td>39</td>\n",
       "      <td>False</td>\n",
       "      <td>311</td>\n",
       "      <td>7.348866e+05</td>\n",
       "      <td>8.729912e+03</td>\n",
       "      <td>84.180300</td>\n",
       "      <td>11.022815</td>\n",
       "      <td>35</td>\n",
       "      <td>2.518057e+05</td>\n",
       "      <td>1.223470e+04</td>\n",
       "      <td>20.581268</td>\n",
       "      <td>11.848724</td>\n",
       "      <td>35</td>\n",
       "      <td>7.479153e+05</td>\n",
       "      <td>2.227590e+04</td>\n",
       "      <td>33.575090</td>\n",
       "      <td>10.077289</td>\n",
       "      <td>1.360375</td>\n",
       "      <td>0</td>\n",
       "      <td>1.771436</td>\n",
       "      <td>0.825910</td>\n",
       "      <td>0.945526</td>\n",
       "      <td>-10.738821</td>\n",
       "      <td>3.564004</td>\n",
       "      <td>5</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>294.180686</td>\n",
       "      <td>2.707254</td>\n",
       "      <td>210.741412</td>\n",
       "      <td>-53.296770</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4075.5000</td>\n",
       "      <td>3891.7798</td>\n",
       "      <td>4410.4200</td>\n",
       "      <td>0.4780</td>\n",
       "      <td>0.0680</td>\n",
       "      <td>1.7908</td>\n",
       "      <td>0.1940</td>\n",
       "      <td>0.0279</td>\n",
       "      <td>0.7150</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>138</td>\n",
       "      <td>KK Cen</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0857</td>\n",
       "      <td>8.713</td>\n",
       "      <td>8.117</td>\n",
       "      <td>7.955</td>\n",
       "      <td>0.24</td>\n",
       "      <td>0.21</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.62</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7526</td>\n",
       "      <td>349</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>175.70090</td>\n",
       "      <td>-58.99340</td>\n",
       "      <td>0.115934</td>\n",
       "      <td>V* KK Cen</td>\n",
       "      <td>175.700895</td>\n",
       "      <td>-58.993395</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>59</td>\n",
       "      <td>11 42 48.21491</td>\n",
       "      <td>-58 59 36.2238</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-2.300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0992</td>\n",
       "      <td>-6.41</td>\n",
       "      <td>1.72</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.770</td>\n",
       "      <td>13.680</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.862</td>\n",
       "      <td>8.195</td>\n",
       "      <td>8.022</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.102837</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5336389564126521728</td>\n",
       "      <td>12.183114</td>\n",
       "      <td>0.000084</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1669.083236</td>\n",
       "      <td>0.000119</td>\n",
       "      <td>1668.937684</td>\n",
       "      <td>0.000119</td>\n",
       "      <td>1669.170658</td>\n",
       "      <td>0.000119</td>\n",
       "      <td>10.904282</td>\n",
       "      <td>0.000122</td>\n",
       "      <td>11.709675</td>\n",
       "      <td>0.001144</td>\n",
       "      <td>10.023955</td>\n",
       "      <td>0.000216</td>\n",
       "      <td>0.756581</td>\n",
       "      <td>0.000666</td>\n",
       "      <td>1.018414</td>\n",
       "      <td>0.002559</td>\n",
       "      <td>0.615435</td>\n",
       "      <td>0.001246</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.230210</td>\n",
       "      <td>0.000982</td>\n",
       "      <td>0.170105</td>\n",
       "      <td>0.001026</td>\n",
       "      <td>4.436104</td>\n",
       "      <td>0.002932</td>\n",
       "      <td>1.019787</td>\n",
       "      <td>0.007726</td>\n",
       "      <td>35</td>\n",
       "      <td>34</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>228</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5337191279923824384</td>\n",
       "      <td>5337191279923824384</td>\n",
       "      <td>411800413</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>168.042125</td>\n",
       "      <td>0.024499</td>\n",
       "      <td>-61.754867</td>\n",
       "      <td>0.024510</td>\n",
       "      <td>0.703772</td>\n",
       "      <td>0.030089</td>\n",
       "      <td>23.389390</td>\n",
       "      <td>-7.062522</td>\n",
       "      <td>0.055277</td>\n",
       "      <td>1.710435</td>\n",
       "      <td>0.050203</td>\n",
       "      <td>-0.032549</td>\n",
       "      <td>-0.024231</td>\n",
       "      <td>-0.177054</td>\n",
       "      <td>0.064682</td>\n",
       "      <td>-0.010573</td>\n",
       "      <td>0.064632</td>\n",
       "      <td>-0.092365</td>\n",
       "      <td>0.181237</td>\n",
       "      <td>0.117536</td>\n",
       "      <td>-0.067782</td>\n",
       "      <td>298</td>\n",
       "      <td>298</td>\n",
       "      <td>295</td>\n",
       "      <td>3</td>\n",
       "      <td>5.966356</td>\n",
       "      <td>457.82250</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>79.125680</td>\n",
       "      <td>1.549341</td>\n",
       "      <td>0.006677</td>\n",
       "      <td>-0.002855</td>\n",
       "      <td>34</td>\n",
       "      <td>19</td>\n",
       "      <td>0.039482</td>\n",
       "      <td>0</td>\n",
       "      <td>39</td>\n",
       "      <td>True</td>\n",
       "      <td>314</td>\n",
       "      <td>1.419109e+07</td>\n",
       "      <td>7.567333e+04</td>\n",
       "      <td>187.530900</td>\n",
       "      <td>7.808327</td>\n",
       "      <td>35</td>\n",
       "      <td>6.133032e+06</td>\n",
       "      <td>1.318540e+05</td>\n",
       "      <td>46.513824</td>\n",
       "      <td>8.382200</td>\n",
       "      <td>36</td>\n",
       "      <td>1.102677e+07</td>\n",
       "      <td>1.272440e+05</td>\n",
       "      <td>86.658420</td>\n",
       "      <td>7.155799</td>\n",
       "      <td>1.209196</td>\n",
       "      <td>0</td>\n",
       "      <td>1.226401</td>\n",
       "      <td>0.573873</td>\n",
       "      <td>0.652527</td>\n",
       "      <td>-18.781986</td>\n",
       "      <td>2.013362</td>\n",
       "      <td>20</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>291.472664</td>\n",
       "      <td>-1.111836</td>\n",
       "      <td>209.360458</td>\n",
       "      <td>-57.912894</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5167.3335</td>\n",
       "      <td>4764.7500</td>\n",
       "      <td>5794.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>43.398724</td>\n",
       "      <td>34.518585</td>\n",
       "      <td>51.042240</td>\n",
       "      <td>1209.802900</td>\n",
       "      <td>1126.72680</td>\n",
       "      <td>1292.878900</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>63</td>\n",
       "      <td>IT Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8770</td>\n",
       "      <td>6.309</td>\n",
       "      <td>5.924</td>\n",
       "      <td>5.779</td>\n",
       "      <td>0.14</td>\n",
       "      <td>0.11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.92</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7517</td>\n",
       "      <td>444</td>\n",
       "      <td>b|</td>\n",
       "      <td>LIII</td>\n",
       "      <td>168.04219</td>\n",
       "      <td>-61.75487</td>\n",
       "      <td>0.110826</td>\n",
       "      <td>V* IT Car</td>\n",
       "      <td>168.042189</td>\n",
       "      <td>-61.754875</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>85</td>\n",
       "      <td>11 12 10.12546</td>\n",
       "      <td>-61 45 17.5492</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-14.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8Iab/b</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.7038</td>\n",
       "      <td>-7.15</td>\n",
       "      <td>1.54</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.830</td>\n",
       "      <td>7.900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.266</td>\n",
       "      <td>5.930</td>\n",
       "      <td>5.795</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.112634</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5337191279923824384</td>\n",
       "      <td>7.532001</td>\n",
       "      <td>0.000137</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1680.754852</td>\n",
       "      <td>0.000194</td>\n",
       "      <td>1680.776448</td>\n",
       "      <td>0.000194</td>\n",
       "      <td>1680.920858</td>\n",
       "      <td>0.000194</td>\n",
       "      <td>7.799157</td>\n",
       "      <td>0.000149</td>\n",
       "      <td>8.344794</td>\n",
       "      <td>0.000299</td>\n",
       "      <td>7.144725</td>\n",
       "      <td>0.000244</td>\n",
       "      <td>0.278034</td>\n",
       "      <td>0.000337</td>\n",
       "      <td>0.361668</td>\n",
       "      <td>0.000894</td>\n",
       "      <td>0.229602</td>\n",
       "      <td>0.000906</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>0.240104</td>\n",
       "      <td>0.001679</td>\n",
       "      <td>0.048440</td>\n",
       "      <td>0.001551</td>\n",
       "      <td>5.397928</td>\n",
       "      <td>0.008932</td>\n",
       "      <td>2.322367</td>\n",
       "      <td>0.032533</td>\n",
       "      <td>34</td>\n",
       "      <td>33</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>229</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5337634589276921856</td>\n",
       "      <td>5337634589276921856</td>\n",
       "      <td>1369186170</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>167.685754</td>\n",
       "      <td>0.023091</td>\n",
       "      <td>-60.750273</td>\n",
       "      <td>0.025594</td>\n",
       "      <td>0.355160</td>\n",
       "      <td>0.029333</td>\n",
       "      <td>12.108058</td>\n",
       "      <td>-6.707265</td>\n",
       "      <td>0.045494</td>\n",
       "      <td>2.076090</td>\n",
       "      <td>0.049568</td>\n",
       "      <td>0.028903</td>\n",
       "      <td>-0.062253</td>\n",
       "      <td>-0.417360</td>\n",
       "      <td>0.062690</td>\n",
       "      <td>0.015625</td>\n",
       "      <td>0.082946</td>\n",
       "      <td>-0.382124</td>\n",
       "      <td>0.228103</td>\n",
       "      <td>0.220883</td>\n",
       "      <td>0.097294</td>\n",
       "      <td>296</td>\n",
       "      <td>296</td>\n",
       "      <td>292</td>\n",
       "      <td>4</td>\n",
       "      <td>3.441411</td>\n",
       "      <td>376.79800</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>225.309500</td>\n",
       "      <td>1.515633</td>\n",
       "      <td>0.006333</td>\n",
       "      <td>-0.067485</td>\n",
       "      <td>33</td>\n",
       "      <td>16</td>\n",
       "      <td>0.036959</td>\n",
       "      <td>0</td>\n",
       "      <td>42</td>\n",
       "      <td>True</td>\n",
       "      <td>349</td>\n",
       "      <td>5.389507e+06</td>\n",
       "      <td>2.033595e+04</td>\n",
       "      <td>265.023620</td>\n",
       "      <td>8.859493</td>\n",
       "      <td>37</td>\n",
       "      <td>2.332144e+06</td>\n",
       "      <td>3.498526e+04</td>\n",
       "      <td>66.660740</td>\n",
       "      <td>9.432000</td>\n",
       "      <td>40</td>\n",
       "      <td>4.359781e+06</td>\n",
       "      <td>4.768215e+04</td>\n",
       "      <td>91.434250</td>\n",
       "      <td>8.163259</td>\n",
       "      <td>1.241658</td>\n",
       "      <td>0</td>\n",
       "      <td>1.268742</td>\n",
       "      <td>0.572507</td>\n",
       "      <td>0.696235</td>\n",
       "      <td>-10.040196</td>\n",
       "      <td>3.010763</td>\n",
       "      <td>5</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>290.935991</td>\n",
       "      <td>-0.245459</td>\n",
       "      <td>207.777320</td>\n",
       "      <td>-57.346985</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4869.0747</td>\n",
       "      <td>4753.6733</td>\n",
       "      <td>5010.2100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>61.601820</td>\n",
       "      <td>58.180115</td>\n",
       "      <td>64.629050</td>\n",
       "      <td>1921.620200</td>\n",
       "      <td>1665.15360</td>\n",
       "      <td>2178.087000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>57</td>\n",
       "      <td>GH Car</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.7578</td>\n",
       "      <td>7.188</td>\n",
       "      <td>6.872</td>\n",
       "      <td>6.668</td>\n",
       "      <td>0.22</td>\n",
       "      <td>0.19</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.18</td>\n",
       "      <td>0.09</td>\n",
       "      <td>7416</td>\n",
       "      <td>424</td>\n",
       "      <td>c*</td>\n",
       "      <td>LIII</td>\n",
       "      <td>167.68581</td>\n",
       "      <td>-60.75028</td>\n",
       "      <td>0.101473</td>\n",
       "      <td>V* GH Car</td>\n",
       "      <td>167.685813</td>\n",
       "      <td>-60.750282</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>66</td>\n",
       "      <td>11 10 44.59523</td>\n",
       "      <td>-60 45 01.0135</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR |*iC|SB*</td>\n",
       "      <td>-10.040</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3552</td>\n",
       "      <td>-6.71</td>\n",
       "      <td>2.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.920</td>\n",
       "      <td>9.040</td>\n",
       "      <td>8.61</td>\n",
       "      <td>7.188</td>\n",
       "      <td>6.872</td>\n",
       "      <td>6.668</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.108829</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5337634589276921856</td>\n",
       "      <td>5.725484</td>\n",
       "      <td>0.000038</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1680.936195</td>\n",
       "      <td>0.000053</td>\n",
       "      <td>1680.832304</td>\n",
       "      <td>0.000053</td>\n",
       "      <td>1681.006928</td>\n",
       "      <td>0.000053</td>\n",
       "      <td>8.824663</td>\n",
       "      <td>0.000125</td>\n",
       "      <td>9.392523</td>\n",
       "      <td>0.000241</td>\n",
       "      <td>8.133257</td>\n",
       "      <td>0.000164</td>\n",
       "      <td>0.232717</td>\n",
       "      <td>0.000557</td>\n",
       "      <td>0.320508</td>\n",
       "      <td>0.001262</td>\n",
       "      <td>0.185457</td>\n",
       "      <td>0.000910</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.139650</td>\n",
       "      <td>0.001878</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.336367</td>\n",
       "      <td>0.011569</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>37</td>\n",
       "      <td>32</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>230</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5337764640889249536</td>\n",
       "      <td>5337764640889249536</td>\n",
       "      <td>450736098</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>168.588360</td>\n",
       "      <td>0.030454</td>\n",
       "      <td>-60.052918</td>\n",
       "      <td>0.025185</td>\n",
       "      <td>0.297908</td>\n",
       "      <td>0.032991</td>\n",
       "      <td>9.029888</td>\n",
       "      <td>-4.591652</td>\n",
       "      <td>0.058077</td>\n",
       "      <td>1.500200</td>\n",
       "      <td>0.048199</td>\n",
       "      <td>-0.171138</td>\n",
       "      <td>-0.069297</td>\n",
       "      <td>-0.415757</td>\n",
       "      <td>0.041315</td>\n",
       "      <td>0.197703</td>\n",
       "      <td>0.074231</td>\n",
       "      <td>-0.165333</td>\n",
       "      <td>0.165138</td>\n",
       "      <td>-0.024331</td>\n",
       "      <td>-0.157194</td>\n",
       "      <td>222</td>\n",
       "      <td>222</td>\n",
       "      <td>222</td>\n",
       "      <td>0</td>\n",
       "      <td>1.945572</td>\n",
       "      <td>259.35577</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>243.351330</td>\n",
       "      <td>1.497163</td>\n",
       "      <td>0.006900</td>\n",
       "      <td>-0.060081</td>\n",
       "      <td>25</td>\n",
       "      <td>17</td>\n",
       "      <td>0.042086</td>\n",
       "      <td>0</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>258</td>\n",
       "      <td>3.529108e+06</td>\n",
       "      <td>3.265311e+04</td>\n",
       "      <td>108.078770</td>\n",
       "      <td>9.319203</td>\n",
       "      <td>30</td>\n",
       "      <td>1.379007e+06</td>\n",
       "      <td>5.482184e+04</td>\n",
       "      <td>25.154337</td>\n",
       "      <td>10.002472</td>\n",
       "      <td>29</td>\n",
       "      <td>3.031603e+06</td>\n",
       "      <td>8.106341e+04</td>\n",
       "      <td>37.397926</td>\n",
       "      <td>8.557739</td>\n",
       "      <td>1.249780</td>\n",
       "      <td>0</td>\n",
       "      <td>1.444733</td>\n",
       "      <td>0.683269</td>\n",
       "      <td>0.761464</td>\n",
       "      <td>-10.703608</td>\n",
       "      <td>9.673512</td>\n",
       "      <td>5</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>291.090206</td>\n",
       "      <td>0.567709</td>\n",
       "      <td>207.437250</td>\n",
       "      <td>-56.540374</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4508.8066</td>\n",
       "      <td>4389.0200</td>\n",
       "      <td>4626.9500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>73.453200</td>\n",
       "      <td>69.750015</td>\n",
       "      <td>77.517334</td>\n",
       "      <td>2008.919800</td>\n",
       "      <td>1662.98940</td>\n",
       "      <td>2354.850000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>56</td>\n",
       "      <td>FR Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0301</td>\n",
       "      <td>7.470</td>\n",
       "      <td>7.012</td>\n",
       "      <td>6.835</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.41</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7410</td>\n",
       "      <td>417</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>168.58840</td>\n",
       "      <td>-60.05292</td>\n",
       "      <td>0.072212</td>\n",
       "      <td>V* FR Car</td>\n",
       "      <td>168.588400</td>\n",
       "      <td>-60.052925</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>66</td>\n",
       "      <td>11 14 21.21590</td>\n",
       "      <td>-60 03 10.5291</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-6.900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2979</td>\n",
       "      <td>-4.59</td>\n",
       "      <td>1.50</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.700</td>\n",
       "      <td>9.640</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.505</td>\n",
       "      <td>6.965</td>\n",
       "      <td>6.791</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.074873</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5337764640889249536</td>\n",
       "      <td>10.709600</td>\n",
       "      <td>0.000061</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1670.186966</td>\n",
       "      <td>0.000086</td>\n",
       "      <td>1670.057117</td>\n",
       "      <td>0.000086</td>\n",
       "      <td>1670.354702</td>\n",
       "      <td>0.000086</td>\n",
       "      <td>9.267842</td>\n",
       "      <td>0.000094</td>\n",
       "      <td>9.921148</td>\n",
       "      <td>0.000224</td>\n",
       "      <td>8.512422</td>\n",
       "      <td>0.000167</td>\n",
       "      <td>0.510503</td>\n",
       "      <td>0.000396</td>\n",
       "      <td>0.701600</td>\n",
       "      <td>0.001134</td>\n",
       "      <td>0.421873</td>\n",
       "      <td>0.000927</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>27</td>\n",
       "      <td>26</td>\n",
       "      <td>25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>231</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5338024572321721216</td>\n",
       "      <td>5338024572321721216</td>\n",
       "      <td>232562436</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>164.461080</td>\n",
       "      <td>0.023454</td>\n",
       "      <td>-60.742085</td>\n",
       "      <td>0.022118</td>\n",
       "      <td>0.374159</td>\n",
       "      <td>0.026633</td>\n",
       "      <td>14.048674</td>\n",
       "      <td>-5.861164</td>\n",
       "      <td>0.045858</td>\n",
       "      <td>1.224790</td>\n",
       "      <td>0.041398</td>\n",
       "      <td>-0.066126</td>\n",
       "      <td>-0.072579</td>\n",
       "      <td>-0.380609</td>\n",
       "      <td>0.035211</td>\n",
       "      <td>0.155559</td>\n",
       "      <td>0.073653</td>\n",
       "      <td>-0.258611</td>\n",
       "      <td>0.253043</td>\n",
       "      <td>0.014996</td>\n",
       "      <td>-0.054132</td>\n",
       "      <td>287</td>\n",
       "      <td>287</td>\n",
       "      <td>285</td>\n",
       "      <td>2</td>\n",
       "      <td>2.355072</td>\n",
       "      <td>338.75302</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>214.954100</td>\n",
       "      <td>1.510474</td>\n",
       "      <td>0.006467</td>\n",
       "      <td>-0.041707</td>\n",
       "      <td>33</td>\n",
       "      <td>18</td>\n",
       "      <td>0.035198</td>\n",
       "      <td>0</td>\n",
       "      <td>37</td>\n",
       "      <td>False</td>\n",
       "      <td>320</td>\n",
       "      <td>2.967361e+06</td>\n",
       "      <td>1.490472e+04</td>\n",
       "      <td>199.088750</td>\n",
       "      <td>9.507440</td>\n",
       "      <td>35</td>\n",
       "      <td>1.305569e+06</td>\n",
       "      <td>2.828411e+04</td>\n",
       "      <td>46.159107</td>\n",
       "      <td>10.061889</td>\n",
       "      <td>36</td>\n",
       "      <td>2.342969e+06</td>\n",
       "      <td>2.993882e+04</td>\n",
       "      <td>78.258560</td>\n",
       "      <td>8.837503</td>\n",
       "      <td>1.229556</td>\n",
       "      <td>0</td>\n",
       "      <td>1.224385</td>\n",
       "      <td>0.554449</td>\n",
       "      <td>0.669936</td>\n",
       "      <td>6.143225</td>\n",
       "      <td>2.122544</td>\n",
       "      <td>8</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>289.489255</td>\n",
       "      <td>-0.869949</td>\n",
       "      <td>205.728411</td>\n",
       "      <td>-58.486675</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5175.1150</td>\n",
       "      <td>4805.6100</td>\n",
       "      <td>5732.9023</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>37.190865</td>\n",
       "      <td>30.305902</td>\n",
       "      <td>43.129982</td>\n",
       "      <td>893.814400</td>\n",
       "      <td>787.39810</td>\n",
       "      <td>1000.230700</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>51</td>\n",
       "      <td>CY Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6300</td>\n",
       "      <td>7.949</td>\n",
       "      <td>7.565</td>\n",
       "      <td>7.430</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.74</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7496</td>\n",
       "      <td>434</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>164.46114</td>\n",
       "      <td>-60.74209</td>\n",
       "      <td>0.106659</td>\n",
       "      <td>V* CY Car</td>\n",
       "      <td>164.461132</td>\n",
       "      <td>-60.742090</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>51</td>\n",
       "      <td>10 57 50.67169</td>\n",
       "      <td>-60 44 31.5233</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>8.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3742</td>\n",
       "      <td>-5.86</td>\n",
       "      <td>1.23</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.670</td>\n",
       "      <td>9.890</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.869</td>\n",
       "      <td>7.496</td>\n",
       "      <td>7.363</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.092810</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5338024572321721216</td>\n",
       "      <td>4.266183</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1687.589541</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>1687.583273</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>1687.641161</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>9.442629</td>\n",
       "      <td>0.000100</td>\n",
       "      <td>9.988805</td>\n",
       "      <td>0.000617</td>\n",
       "      <td>8.788438</td>\n",
       "      <td>0.000394</td>\n",
       "      <td>0.468036</td>\n",
       "      <td>0.000474</td>\n",
       "      <td>0.581211</td>\n",
       "      <td>0.002540</td>\n",
       "      <td>0.338775</td>\n",
       "      <td>0.001689</td>\n",
       "      <td>0.202206</td>\n",
       "      <td>0.224983</td>\n",
       "      <td>0.341365</td>\n",
       "      <td>0.000763</td>\n",
       "      <td>0.115485</td>\n",
       "      <td>0.000668</td>\n",
       "      <td>4.351148</td>\n",
       "      <td>0.002372</td>\n",
       "      <td>2.591841</td>\n",
       "      <td>0.007989</td>\n",
       "      <td>35</td>\n",
       "      <td>28</td>\n",
       "      <td>30</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>232</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5338036117182452096</td>\n",
       "      <td>5338036117182452096</td>\n",
       "      <td>1537821487</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>166.056070</td>\n",
       "      <td>0.031146</td>\n",
       "      <td>-60.979914</td>\n",
       "      <td>0.027315</td>\n",
       "      <td>0.424007</td>\n",
       "      <td>0.034523</td>\n",
       "      <td>12.281926</td>\n",
       "      <td>-7.255838</td>\n",
       "      <td>0.055990</td>\n",
       "      <td>2.527183</td>\n",
       "      <td>0.047876</td>\n",
       "      <td>0.060582</td>\n",
       "      <td>-0.145277</td>\n",
       "      <td>-0.509149</td>\n",
       "      <td>-0.028593</td>\n",
       "      <td>0.284341</td>\n",
       "      <td>0.073833</td>\n",
       "      <td>-0.196720</td>\n",
       "      <td>0.312603</td>\n",
       "      <td>0.078853</td>\n",
       "      <td>0.141582</td>\n",
       "      <td>287</td>\n",
       "      <td>287</td>\n",
       "      <td>282</td>\n",
       "      <td>5</td>\n",
       "      <td>5.280850</td>\n",
       "      <td>419.93457</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>111.168450</td>\n",
       "      <td>1.474901</td>\n",
       "      <td>0.007102</td>\n",
       "      <td>0.069556</td>\n",
       "      <td>32</td>\n",
       "      <td>18</td>\n",
       "      <td>0.041111</td>\n",
       "      <td>0</td>\n",
       "      <td>37</td>\n",
       "      <td>False</td>\n",
       "      <td>299</td>\n",
       "      <td>9.135809e+06</td>\n",
       "      <td>1.231090e+05</td>\n",
       "      <td>74.209114</td>\n",
       "      <td>8.286498</td>\n",
       "      <td>32</td>\n",
       "      <td>3.094931e+06</td>\n",
       "      <td>1.500563e+05</td>\n",
       "      <td>20.625137</td>\n",
       "      <td>9.124761</td>\n",
       "      <td>32</td>\n",
       "      <td>8.204723e+06</td>\n",
       "      <td>3.061783e+05</td>\n",
       "      <td>26.797205</td>\n",
       "      <td>7.476760</td>\n",
       "      <td>1.236853</td>\n",
       "      <td>0</td>\n",
       "      <td>1.648000</td>\n",
       "      <td>0.838263</td>\n",
       "      <td>0.809738</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>290.294924</td>\n",
       "      <td>-0.766334</td>\n",
       "      <td>207.066396</td>\n",
       "      <td>-58.080509</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4886.4300</td>\n",
       "      <td>4185.0000</td>\n",
       "      <td>6170.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>72</td>\n",
       "      <td>XZ Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.2214</td>\n",
       "      <td>6.251</td>\n",
       "      <td>5.759</td>\n",
       "      <td>5.572</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.76</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7463</td>\n",
       "      <td>433</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>166.05614</td>\n",
       "      <td>-60.97993</td>\n",
       "      <td>0.135120</td>\n",
       "      <td>V* XZ Car</td>\n",
       "      <td>166.056134</td>\n",
       "      <td>-60.979925</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>84</td>\n",
       "      <td>11 04 13.47216</td>\n",
       "      <td>-60 58 47.7311</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>1.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>K5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4240</td>\n",
       "      <td>-7.26</td>\n",
       "      <td>2.53</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.110</td>\n",
       "      <td>8.670</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.295</td>\n",
       "      <td>5.740</td>\n",
       "      <td>5.507</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.119092</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5338036117182452096</td>\n",
       "      <td>16.659975</td>\n",
       "      <td>0.000208</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1658.341006</td>\n",
       "      <td>0.000293</td>\n",
       "      <td>1657.255405</td>\n",
       "      <td>0.000293</td>\n",
       "      <td>1658.384928</td>\n",
       "      <td>0.000293</td>\n",
       "      <td>8.188246</td>\n",
       "      <td>0.000115</td>\n",
       "      <td>8.902260</td>\n",
       "      <td>0.000342</td>\n",
       "      <td>7.383531</td>\n",
       "      <td>0.000178</td>\n",
       "      <td>0.670287</td>\n",
       "      <td>0.000398</td>\n",
       "      <td>0.890123</td>\n",
       "      <td>0.000957</td>\n",
       "      <td>0.553955</td>\n",
       "      <td>0.000642</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>34</td>\n",
       "      <td>31</td>\n",
       "      <td>32</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>233</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5338207327417387520</td>\n",
       "      <td>5338207327417387520</td>\n",
       "      <td>1339311914</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>163.136672</td>\n",
       "      <td>0.025003</td>\n",
       "      <td>-60.526754</td>\n",
       "      <td>0.024841</td>\n",
       "      <td>0.137282</td>\n",
       "      <td>0.031168</td>\n",
       "      <td>4.404560</td>\n",
       "      <td>-7.178707</td>\n",
       "      <td>0.046179</td>\n",
       "      <td>3.027558</td>\n",
       "      <td>0.042821</td>\n",
       "      <td>-0.007189</td>\n",
       "      <td>-0.384090</td>\n",
       "      <td>-0.444114</td>\n",
       "      <td>-0.068775</td>\n",
       "      <td>0.249641</td>\n",
       "      <td>0.094092</td>\n",
       "      <td>-0.220202</td>\n",
       "      <td>0.365770</td>\n",
       "      <td>0.200726</td>\n",
       "      <td>0.060805</td>\n",
       "      <td>265</td>\n",
       "      <td>265</td>\n",
       "      <td>261</td>\n",
       "      <td>4</td>\n",
       "      <td>1.988816</td>\n",
       "      <td>302.94373</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>391.520700</td>\n",
       "      <td>1.500460</td>\n",
       "      <td>0.007566</td>\n",
       "      <td>-0.094620</td>\n",
       "      <td>30</td>\n",
       "      <td>18</td>\n",
       "      <td>0.034957</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>False</td>\n",
       "      <td>284</td>\n",
       "      <td>6.813359e+05</td>\n",
       "      <td>7.474363e+03</td>\n",
       "      <td>91.156380</td>\n",
       "      <td>11.104962</td>\n",
       "      <td>29</td>\n",
       "      <td>2.839149e+05</td>\n",
       "      <td>1.073954e+04</td>\n",
       "      <td>26.436403</td>\n",
       "      <td>11.718418</td>\n",
       "      <td>28</td>\n",
       "      <td>6.144616e+05</td>\n",
       "      <td>1.614450e+04</td>\n",
       "      <td>38.060116</td>\n",
       "      <td>10.290683</td>\n",
       "      <td>1.318551</td>\n",
       "      <td>0</td>\n",
       "      <td>1.427735</td>\n",
       "      <td>0.613456</td>\n",
       "      <td>0.814280</td>\n",
       "      <td>-11.672657</td>\n",
       "      <td>4.877230</td>\n",
       "      <td>6</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>2.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>288.810460</td>\n",
       "      <td>-0.956585</td>\n",
       "      <td>204.576959</td>\n",
       "      <td>-58.817338</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4449.3027</td>\n",
       "      <td>4354.0000</td>\n",
       "      <td>4931.5234</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>52</td>\n",
       "      <td>DY Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6697</td>\n",
       "      <td>9.160</td>\n",
       "      <td>8.729</td>\n",
       "      <td>8.563</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.96</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7635</td>\n",
       "      <td>396</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>163.13667</td>\n",
       "      <td>-60.52679</td>\n",
       "      <td>0.130149</td>\n",
       "      <td>V* DY Car</td>\n",
       "      <td>163.136734</td>\n",
       "      <td>-60.526767</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>35</td>\n",
       "      <td>10 52 32.81627</td>\n",
       "      <td>-60 31 36.3608</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |IR |*</td>\n",
       "      <td>-11.670</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.1373</td>\n",
       "      <td>-7.18</td>\n",
       "      <td>3.03</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.760</td>\n",
       "      <td>11.380</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.113</td>\n",
       "      <td>8.767</td>\n",
       "      <td>8.612</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.120761</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5338207327417387520</td>\n",
       "      <td>4.674164</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1684.561440</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>1684.546462</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>1684.588619</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>10.938006</td>\n",
       "      <td>0.000230</td>\n",
       "      <td>11.547057</td>\n",
       "      <td>0.000546</td>\n",
       "      <td>10.190875</td>\n",
       "      <td>0.000356</td>\n",
       "      <td>0.663365</td>\n",
       "      <td>0.000779</td>\n",
       "      <td>0.882107</td>\n",
       "      <td>0.001782</td>\n",
       "      <td>0.565686</td>\n",
       "      <td>0.001428</td>\n",
       "      <td>0.065996</td>\n",
       "      <td>0.224983</td>\n",
       "      <td>0.381113</td>\n",
       "      <td>0.000887</td>\n",
       "      <td>0.157949</td>\n",
       "      <td>0.000831</td>\n",
       "      <td>4.311305</td>\n",
       "      <td>0.002543</td>\n",
       "      <td>2.358105</td>\n",
       "      <td>0.005944</td>\n",
       "      <td>31</td>\n",
       "      <td>27</td>\n",
       "      <td>26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>234</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5338359442320395904</td>\n",
       "      <td>5338359442320395904</td>\n",
       "      <td>1238747227</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>164.450727</td>\n",
       "      <td>0.024663</td>\n",
       "      <td>-59.732180</td>\n",
       "      <td>0.025608</td>\n",
       "      <td>0.478973</td>\n",
       "      <td>0.029342</td>\n",
       "      <td>16.323925</td>\n",
       "      <td>-5.965910</td>\n",
       "      <td>0.048255</td>\n",
       "      <td>2.171477</td>\n",
       "      <td>0.047665</td>\n",
       "      <td>-0.085996</td>\n",
       "      <td>-0.207134</td>\n",
       "      <td>-0.429794</td>\n",
       "      <td>0.034579</td>\n",
       "      <td>0.183312</td>\n",
       "      <td>0.119309</td>\n",
       "      <td>-0.392973</td>\n",
       "      <td>0.213130</td>\n",
       "      <td>0.199751</td>\n",
       "      <td>-0.041251</td>\n",
       "      <td>351</td>\n",
       "      <td>351</td>\n",
       "      <td>322</td>\n",
       "      <td>29</td>\n",
       "      <td>15.610695</td>\n",
       "      <td>893.58185</td>\n",
       "      <td>0.089619</td>\n",
       "      <td>2.997457e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>84.701010</td>\n",
       "      <td>1.495652</td>\n",
       "      <td>0.006353</td>\n",
       "      <td>-0.069946</td>\n",
       "      <td>40</td>\n",
       "      <td>19</td>\n",
       "      <td>0.036522</td>\n",
       "      <td>0</td>\n",
       "      <td>46</td>\n",
       "      <td>False</td>\n",
       "      <td>396</td>\n",
       "      <td>3.605972e+07</td>\n",
       "      <td>1.809981e+06</td>\n",
       "      <td>19.922703</td>\n",
       "      <td>6.795810</td>\n",
       "      <td>38</td>\n",
       "      <td>2.381421e+07</td>\n",
       "      <td>1.374616e+06</td>\n",
       "      <td>17.324270</td>\n",
       "      <td>6.909298</td>\n",
       "      <td>40</td>\n",
       "      <td>3.978215e+07</td>\n",
       "      <td>4.506593e+06</td>\n",
       "      <td>8.827545</td>\n",
       "      <td>5.762699</td>\n",
       "      <td>1.763640</td>\n",
       "      <td>0</td>\n",
       "      <td>1.146598</td>\n",
       "      <td>0.113488</td>\n",
       "      <td>1.033111</td>\n",
       "      <td>18.100981</td>\n",
       "      <td>4.532586</td>\n",
       "      <td>17</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>289.057026</td>\n",
       "      <td>0.042808</td>\n",
       "      <td>204.332294</td>\n",
       "      <td>-57.796037</td>\n",
       "      <td>102001.0</td>\n",
       "      <td>5143.4500</td>\n",
       "      <td>4323.0430</td>\n",
       "      <td>7019.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>323</td>\n",
       "      <td>U Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.5885</td>\n",
       "      <td>4.133</td>\n",
       "      <td>3.683</td>\n",
       "      <td>3.510</td>\n",
       "      <td>0.17</td>\n",
       "      <td>0.25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.98</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7574</td>\n",
       "      <td>443</td>\n",
       "      <td>b</td>\n",
       "      <td>ROM</td>\n",
       "      <td>164.45078</td>\n",
       "      <td>-59.73219</td>\n",
       "      <td>0.103373</td>\n",
       "      <td>V* U Car</td>\n",
       "      <td>164.450778</td>\n",
       "      <td>-59.732189</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>196</td>\n",
       "      <td>10 57 48.18669</td>\n",
       "      <td>-59 43 55.8802</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>2.100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G5/8Iab</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4790</td>\n",
       "      <td>-5.97</td>\n",
       "      <td>2.37</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.210</td>\n",
       "      <td>6.110</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.430</td>\n",
       "      <td>3.940</td>\n",
       "      <td>3.790</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.098407</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5338359442320395904</td>\n",
       "      <td>38.717914</td>\n",
       "      <td>0.001595</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1652.176325</td>\n",
       "      <td>0.002256</td>\n",
       "      <td>1651.255138</td>\n",
       "      <td>0.002256</td>\n",
       "      <td>1617.057366</td>\n",
       "      <td>0.002256</td>\n",
       "      <td>5.924272</td>\n",
       "      <td>0.000623</td>\n",
       "      <td>6.570710</td>\n",
       "      <td>0.000591</td>\n",
       "      <td>5.175639</td>\n",
       "      <td>0.000732</td>\n",
       "      <td>1.034248</td>\n",
       "      <td>0.002076</td>\n",
       "      <td>1.355838</td>\n",
       "      <td>0.002323</td>\n",
       "      <td>0.714751</td>\n",
       "      <td>0.002279</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.505593</td>\n",
       "      <td>0.003332</td>\n",
       "      <td>0.333169</td>\n",
       "      <td>0.001889</td>\n",
       "      <td>4.752956</td>\n",
       "      <td>0.003625</td>\n",
       "      <td>2.700491</td>\n",
       "      <td>0.010232</td>\n",
       "      <td>27</td>\n",
       "      <td>34</td>\n",
       "      <td>28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>235</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5338438297925480320</td>\n",
       "      <td>5338438297925480320</td>\n",
       "      <td>453708566</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>162.898985</td>\n",
       "      <td>0.022646</td>\n",
       "      <td>-59.384993</td>\n",
       "      <td>0.023035</td>\n",
       "      <td>0.375058</td>\n",
       "      <td>0.026242</td>\n",
       "      <td>14.292014</td>\n",
       "      <td>-5.547370</td>\n",
       "      <td>0.044439</td>\n",
       "      <td>2.498277</td>\n",
       "      <td>0.044103</td>\n",
       "      <td>-0.162731</td>\n",
       "      <td>-0.223013</td>\n",
       "      <td>-0.444123</td>\n",
       "      <td>0.119687</td>\n",
       "      <td>0.258658</td>\n",
       "      <td>0.188184</td>\n",
       "      <td>-0.296621</td>\n",
       "      <td>0.202931</td>\n",
       "      <td>0.094024</td>\n",
       "      <td>-0.103522</td>\n",
       "      <td>288</td>\n",
       "      <td>288</td>\n",
       "      <td>285</td>\n",
       "      <td>3</td>\n",
       "      <td>7.783356</td>\n",
       "      <td>506.53640</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
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       "      <td>1.502960</td>\n",
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       "      <td>-0.118540</td>\n",
       "      <td>33</td>\n",
       "      <td>17</td>\n",
       "      <td>0.036120</td>\n",
       "      <td>0</td>\n",
       "      <td>37</td>\n",
       "      <td>True</td>\n",
       "      <td>327</td>\n",
       "      <td>2.971271e+06</td>\n",
       "      <td>3.112064e+04</td>\n",
       "      <td>95.475880</td>\n",
       "      <td>9.506010</td>\n",
       "      <td>36</td>\n",
       "      <td>1.291180e+06</td>\n",
       "      <td>5.615739e+04</td>\n",
       "      <td>22.992167</td>\n",
       "      <td>10.073921</td>\n",
       "      <td>36</td>\n",
       "      <td>2.384862e+06</td>\n",
       "      <td>5.686350e+04</td>\n",
       "      <td>41.940125</td>\n",
       "      <td>8.818262</td>\n",
       "      <td>1.237195</td>\n",
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       "      <td>1.255659</td>\n",
       "      <td>0.567911</td>\n",
       "      <td>0.687748</td>\n",
       "      <td>-6.317801</td>\n",
       "      <td>10.392826</td>\n",
       "      <td>7</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>2.0</td>\n",
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       "      <td>VARIABLE</td>\n",
       "      <td>288.198075</td>\n",
       "      <td>0.014390</td>\n",
       "      <td>202.832291</td>\n",
       "      <td>-58.120593</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4791.0500</td>\n",
       "      <td>4710.6333</td>\n",
       "      <td>4908.6470</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>45.208115</td>\n",
       "      <td>43.067947</td>\n",
       "      <td>46.764810</td>\n",
       "      <td>970.175400</td>\n",
       "      <td>855.68020</td>\n",
       "      <td>1084.670700</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>69</td>\n",
       "      <td>WW Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6699</td>\n",
       "      <td>7.723</td>\n",
       "      <td>7.338</td>\n",
       "      <td>7.186</td>\n",
       "      <td>0.00</td>\n",
       "      <td>-0.03</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.62</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7551</td>\n",
       "      <td>435</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>162.89903</td>\n",
       "      <td>-59.38501</td>\n",
       "      <td>0.102083</td>\n",
       "      <td>V* WW Car</td>\n",
       "      <td>162.899032</td>\n",
       "      <td>-59.385004</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>56</td>\n",
       "      <td>10 51 35.76775</td>\n",
       "      <td>-59 23 06.0136</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>** |V* |cC*|*  |IR</td>\n",
       "      <td>-13.300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F9II+?</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3751</td>\n",
       "      <td>-5.55</td>\n",
       "      <td>2.50</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.550</td>\n",
       "      <td>9.680</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.758</td>\n",
       "      <td>7.425</td>\n",
       "      <td>7.275</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.094302</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5338438297925480320</td>\n",
       "      <td>4.677665</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1722.728876</td>\n",
       "      <td>0.000029</td>\n",
       "      <td>1722.745045</td>\n",
       "      <td>0.000029</td>\n",
       "      <td>1722.777435</td>\n",
       "      <td>0.000029</td>\n",
       "      <td>9.410356</td>\n",
       "      <td>0.000247</td>\n",
       "      <td>9.974891</td>\n",
       "      <td>0.000631</td>\n",
       "      <td>8.727144</td>\n",
       "      <td>0.000348</td>\n",
       "      <td>0.654619</td>\n",
       "      <td>0.000752</td>\n",
       "      <td>0.820929</td>\n",
       "      <td>0.001423</td>\n",
       "      <td>0.501015</td>\n",
       "      <td>0.000789</td>\n",
       "      <td>0.119550</td>\n",
       "      <td>0.224984</td>\n",
       "      <td>0.365485</td>\n",
       "      <td>0.000874</td>\n",
       "      <td>0.156139</td>\n",
       "      <td>0.000912</td>\n",
       "      <td>4.489973</td>\n",
       "      <td>0.002171</td>\n",
       "      <td>2.558928</td>\n",
       "      <td>0.006729</td>\n",
       "      <td>33</td>\n",
       "      <td>34</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>236</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5339394082770287232</td>\n",
       "      <td>5339394082770287232</td>\n",
       "      <td>600469451</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>167.421347</td>\n",
       "      <td>0.028520</td>\n",
       "      <td>-58.837715</td>\n",
       "      <td>0.024771</td>\n",
       "      <td>0.795640</td>\n",
       "      <td>0.034582</td>\n",
       "      <td>23.007395</td>\n",
       "      <td>-9.689901</td>\n",
       "      <td>0.052484</td>\n",
       "      <td>2.350053</td>\n",
       "      <td>0.044450</td>\n",
       "      <td>-0.222406</td>\n",
       "      <td>-0.331832</td>\n",
       "      <td>-0.280386</td>\n",
       "      <td>0.021366</td>\n",
       "      <td>0.307000</td>\n",
       "      <td>0.158274</td>\n",
       "      <td>-0.105974</td>\n",
       "      <td>0.237860</td>\n",
       "      <td>0.205563</td>\n",
       "      <td>-0.203588</td>\n",
       "      <td>269</td>\n",
       "      <td>269</td>\n",
       "      <td>268</td>\n",
       "      <td>1</td>\n",
       "      <td>5.871528</td>\n",
       "      <td>421.03943</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>214.408340</td>\n",
       "      <td>1.589688</td>\n",
       "      <td>0.007061</td>\n",
       "      <td>0.008100</td>\n",
       "      <td>31</td>\n",
       "      <td>18</td>\n",
       "      <td>0.037649</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>False</td>\n",
       "      <td>291</td>\n",
       "      <td>4.440929e+07</td>\n",
       "      <td>3.513872e+05</td>\n",
       "      <td>126.382790</td>\n",
       "      <td>6.569681</td>\n",
       "      <td>30</td>\n",
       "      <td>2.057823e+07</td>\n",
       "      <td>6.648771e+05</td>\n",
       "      <td>30.950436</td>\n",
       "      <td>7.067868</td>\n",
       "      <td>33</td>\n",
       "      <td>3.240106e+07</td>\n",
       "      <td>5.745015e+05</td>\n",
       "      <td>56.398575</td>\n",
       "      <td>5.985522</td>\n",
       "      <td>1.192978</td>\n",
       "      <td>0</td>\n",
       "      <td>1.082346</td>\n",
       "      <td>0.498187</td>\n",
       "      <td>0.584159</td>\n",
       "      <td>-20.556473</td>\n",
       "      <td>3.934843</td>\n",
       "      <td>14</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>290.085239</td>\n",
       "      <td>1.472654</td>\n",
       "      <td>205.137785</td>\n",
       "      <td>-56.090600</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5500.6700</td>\n",
       "      <td>5093.7650</td>\n",
       "      <td>5937.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>58.602985</td>\n",
       "      <td>50.305656</td>\n",
       "      <td>68.339700</td>\n",
       "      <td>2832.673600</td>\n",
       "      <td>2643.07540</td>\n",
       "      <td>3022.271700</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>53</td>\n",
       "      <td>ER Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8875</td>\n",
       "      <td>5.360</td>\n",
       "      <td>5.020</td>\n",
       "      <td>4.899</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.12</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7641</td>\n",
       "      <td>448</td>\n",
       "      <td>b|</td>\n",
       "      <td>LIII</td>\n",
       "      <td>167.42143</td>\n",
       "      <td>-58.83773</td>\n",
       "      <td>0.162846</td>\n",
       "      <td>V* ER Car</td>\n",
       "      <td>167.421428</td>\n",
       "      <td>-58.837725</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>111</td>\n",
       "      <td>11 09 41.14273</td>\n",
       "      <td>-58 50 15.8110</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR |*iC</td>\n",
       "      <td>-18.100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G1Iab/b</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.7956</td>\n",
       "      <td>-9.69</td>\n",
       "      <td>2.35</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.590</td>\n",
       "      <td>6.790</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.264</td>\n",
       "      <td>4.969</td>\n",
       "      <td>4.812</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.154547</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5339394082770287232</td>\n",
       "      <td>7.720813</td>\n",
       "      <td>0.000048</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1713.682985</td>\n",
       "      <td>0.000068</td>\n",
       "      <td>1713.596882</td>\n",
       "      <td>0.000068</td>\n",
       "      <td>1713.656564</td>\n",
       "      <td>0.000068</td>\n",
       "      <td>6.605694</td>\n",
       "      <td>0.000191</td>\n",
       "      <td>7.083204</td>\n",
       "      <td>0.000691</td>\n",
       "      <td>6.012287</td>\n",
       "      <td>0.001740</td>\n",
       "      <td>0.486253</td>\n",
       "      <td>0.000848</td>\n",
       "      <td>0.716482</td>\n",
       "      <td>0.003306</td>\n",
       "      <td>0.263937</td>\n",
       "      <td>0.006740</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.359726</td>\n",
       "      <td>0.001206</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.190804</td>\n",
       "      <td>0.004234</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>27</td>\n",
       "      <td>22</td>\n",
       "      <td>23</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>237</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5350852677538959104</td>\n",
       "      <td>5350852677538959104</td>\n",
       "      <td>389169192</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>162.757551</td>\n",
       "      <td>0.025566</td>\n",
       "      <td>-58.590585</td>\n",
       "      <td>0.029035</td>\n",
       "      <td>0.203354</td>\n",
       "      <td>0.033949</td>\n",
       "      <td>5.990051</td>\n",
       "      <td>-6.630990</td>\n",
       "      <td>0.051383</td>\n",
       "      <td>3.121310</td>\n",
       "      <td>0.054173</td>\n",
       "      <td>0.016180</td>\n",
       "      <td>-0.209771</td>\n",
       "      <td>-0.301854</td>\n",
       "      <td>-0.094926</td>\n",
       "      <td>0.119573</td>\n",
       "      <td>-0.034918</td>\n",
       "      <td>-0.327618</td>\n",
       "      <td>0.146563</td>\n",
       "      <td>0.221078</td>\n",
       "      <td>0.057147</td>\n",
       "      <td>237</td>\n",
       "      <td>237</td>\n",
       "      <td>234</td>\n",
       "      <td>3</td>\n",
       "      <td>11.132762</td>\n",
       "      <td>558.22030</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>323.157380</td>\n",
       "      <td>1.407615</td>\n",
       "      <td>0.007086</td>\n",
       "      <td>0.064438</td>\n",
       "      <td>28</td>\n",
       "      <td>16</td>\n",
       "      <td>0.038408</td>\n",
       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>False</td>\n",
       "      <td>271</td>\n",
       "      <td>7.734894e+05</td>\n",
       "      <td>9.229470e+03</td>\n",
       "      <td>83.806480</td>\n",
       "      <td>10.967230</td>\n",
       "      <td>28</td>\n",
       "      <td>2.281097e+05</td>\n",
       "      <td>1.177969e+04</td>\n",
       "      <td>19.364650</td>\n",
       "      <td>11.956029</td>\n",
       "      <td>27</td>\n",
       "      <td>8.174324e+05</td>\n",
       "      <td>2.694104e+04</td>\n",
       "      <td>30.341534</td>\n",
       "      <td>9.980790</td>\n",
       "      <td>1.351721</td>\n",
       "      <td>0</td>\n",
       "      <td>1.975239</td>\n",
       "      <td>0.988799</td>\n",
       "      <td>0.986440</td>\n",
       "      <td>7.123834</td>\n",
       "      <td>6.501499</td>\n",
       "      <td>7</td>\n",
       "      <td>5250.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>287.778974</td>\n",
       "      <td>0.693181</td>\n",
       "      <td>201.669051</td>\n",
       "      <td>-57.616949</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>3729.0000</td>\n",
       "      <td>3677.6667</td>\n",
       "      <td>4238.7000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>92.155620</td>\n",
       "      <td>71.324905</td>\n",
       "      <td>94.746210</td>\n",
       "      <td>1479.476000</td>\n",
       "      <td>1099.12870</td>\n",
       "      <td>1859.823200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>55</td>\n",
       "      <td>FI Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1290</td>\n",
       "      <td>8.350</td>\n",
       "      <td>7.797</td>\n",
       "      <td>7.502</td>\n",
       "      <td>0.31</td>\n",
       "      <td>0.28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.28</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7845</td>\n",
       "      <td>380</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>162.75762</td>\n",
       "      <td>-58.59061</td>\n",
       "      <td>0.157478</td>\n",
       "      <td>V* FI Car</td>\n",
       "      <td>162.757606</td>\n",
       "      <td>-58.590599</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>43</td>\n",
       "      <td>10 51 01.82533</td>\n",
       "      <td>-58 35 26.1553</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>13.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2034</td>\n",
       "      <td>-6.63</td>\n",
       "      <td>3.12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.620</td>\n",
       "      <td>11.530</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.418</td>\n",
       "      <td>7.880</td>\n",
       "      <td>7.583</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.113598</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5350852677538959104</td>\n",
       "      <td>13.454930</td>\n",
       "      <td>0.000162</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1657.972354</td>\n",
       "      <td>0.000229</td>\n",
       "      <td>1657.561913</td>\n",
       "      <td>0.000229</td>\n",
       "      <td>1657.660281</td>\n",
       "      <td>0.000229</td>\n",
       "      <td>10.905731</td>\n",
       "      <td>0.000123</td>\n",
       "      <td>11.915213</td>\n",
       "      <td>0.000287</td>\n",
       "      <td>9.972416</td>\n",
       "      <td>0.000181</td>\n",
       "      <td>0.542956</td>\n",
       "      <td>0.000360</td>\n",
       "      <td>0.731875</td>\n",
       "      <td>0.001150</td>\n",
       "      <td>0.467912</td>\n",
       "      <td>0.000506</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>27</td>\n",
       "      <td>28</td>\n",
       "      <td>27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>238</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5351161399785606016</td>\n",
       "      <td>5351161399785606016</td>\n",
       "      <td>1209740912</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>161.136162</td>\n",
       "      <td>0.033002</td>\n",
       "      <td>-57.565358</td>\n",
       "      <td>0.032410</td>\n",
       "      <td>0.512082</td>\n",
       "      <td>0.041380</td>\n",
       "      <td>12.375090</td>\n",
       "      <td>-6.213358</td>\n",
       "      <td>0.061901</td>\n",
       "      <td>2.485784</td>\n",
       "      <td>0.055471</td>\n",
       "      <td>0.012342</td>\n",
       "      <td>-0.315063</td>\n",
       "      <td>-0.362693</td>\n",
       "      <td>0.050664</td>\n",
       "      <td>0.269040</td>\n",
       "      <td>0.210953</td>\n",
       "      <td>-0.103644</td>\n",
       "      <td>0.324653</td>\n",
       "      <td>0.183921</td>\n",
       "      <td>0.198375</td>\n",
       "      <td>207</td>\n",
       "      <td>207</td>\n",
       "      <td>207</td>\n",
       "      <td>0</td>\n",
       "      <td>1.637126</td>\n",
       "      <td>235.98468</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>117.791030</td>\n",
       "      <td>1.513265</td>\n",
       "      <td>0.008966</td>\n",
       "      <td>0.157230</td>\n",
       "      <td>24</td>\n",
       "      <td>16</td>\n",
       "      <td>0.043165</td>\n",
       "      <td>0</td>\n",
       "      <td>33</td>\n",
       "      <td>False</td>\n",
       "      <td>259</td>\n",
       "      <td>2.212565e+07</td>\n",
       "      <td>2.494546e+05</td>\n",
       "      <td>88.696075</td>\n",
       "      <td>7.326126</td>\n",
       "      <td>28</td>\n",
       "      <td>8.112173e+06</td>\n",
       "      <td>2.805349e+05</td>\n",
       "      <td>28.916801</td>\n",
       "      <td>8.078546</td>\n",
       "      <td>26</td>\n",
       "      <td>1.828232e+07</td>\n",
       "      <td>3.479413e+05</td>\n",
       "      <td>52.544260</td>\n",
       "      <td>6.606842</td>\n",
       "      <td>1.192936</td>\n",
       "      <td>0</td>\n",
       "      <td>1.471704</td>\n",
       "      <td>0.752420</td>\n",
       "      <td>0.719284</td>\n",
       "      <td>23.708107</td>\n",
       "      <td>7.125902</td>\n",
       "      <td>13</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>286.547602</td>\n",
       "      <td>1.212852</td>\n",
       "      <td>199.188450</td>\n",
       "      <td>-57.494123</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4483.5000</td>\n",
       "      <td>4253.1333</td>\n",
       "      <td>4895.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>108.759230</td>\n",
       "      <td>91.242065</td>\n",
       "      <td>120.859980</td>\n",
       "      <td>4306.215000</td>\n",
       "      <td>3800.22300</td>\n",
       "      <td>4812.207000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>348</td>\n",
       "      <td>VY Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.2785</td>\n",
       "      <td>5.404</td>\n",
       "      <td>4.958</td>\n",
       "      <td>4.792</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.22</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7627</td>\n",
       "      <td>441</td>\n",
       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
       "      <td>161.13621</td>\n",
       "      <td>-57.56537</td>\n",
       "      <td>0.103089</td>\n",
       "      <td>V* VY Car</td>\n",
       "      <td>161.136212</td>\n",
       "      <td>-57.565368</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>182</td>\n",
       "      <td>10 44 32.69081</td>\n",
       "      <td>-57 33 55.3260</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |** |cC*|*  |IR</td>\n",
       "      <td>-1.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7Iab/b</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.5121</td>\n",
       "      <td>-6.21</td>\n",
       "      <td>2.49</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.700</td>\n",
       "      <td>6.870</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.605</td>\n",
       "      <td>5.067</td>\n",
       "      <td>4.864</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.103728</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5351161399785606016</td>\n",
       "      <td>18.873022</td>\n",
       "      <td>0.000165</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1684.488484</td>\n",
       "      <td>0.000234</td>\n",
       "      <td>1684.438739</td>\n",
       "      <td>0.000234</td>\n",
       "      <td>1685.134266</td>\n",
       "      <td>0.000234</td>\n",
       "      <td>7.148190</td>\n",
       "      <td>0.000115</td>\n",
       "      <td>7.820553</td>\n",
       "      <td>0.000460</td>\n",
       "      <td>6.428688</td>\n",
       "      <td>0.000426</td>\n",
       "      <td>0.645248</td>\n",
       "      <td>0.000307</td>\n",
       "      <td>0.781321</td>\n",
       "      <td>0.001384</td>\n",
       "      <td>0.488421</td>\n",
       "      <td>0.001353</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>28</td>\n",
       "      <td>26</td>\n",
       "      <td>25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>239</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5351331755370445056</td>\n",
       "      <td>5351331755370445056</td>\n",
       "      <td>1311574755</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>161.234721</td>\n",
       "      <td>0.027785</td>\n",
       "      <td>-56.289543</td>\n",
       "      <td>0.031423</td>\n",
       "      <td>0.406078</td>\n",
       "      <td>0.037423</td>\n",
       "      <td>10.851131</td>\n",
       "      <td>-7.205732</td>\n",
       "      <td>0.052942</td>\n",
       "      <td>2.671230</td>\n",
       "      <td>0.056481</td>\n",
       "      <td>-0.036746</td>\n",
       "      <td>-0.334362</td>\n",
       "      <td>-0.310204</td>\n",
       "      <td>0.039077</td>\n",
       "      <td>0.255935</td>\n",
       "      <td>0.170042</td>\n",
       "      <td>-0.249958</td>\n",
       "      <td>0.308213</td>\n",
       "      <td>0.142751</td>\n",
       "      <td>0.095749</td>\n",
       "      <td>261</td>\n",
       "      <td>261</td>\n",
       "      <td>259</td>\n",
       "      <td>2</td>\n",
       "      <td>1.112257</td>\n",
       "      <td>279.19214</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>127.458110</td>\n",
       "      <td>1.486771</td>\n",
       "      <td>0.008476</td>\n",
       "      <td>0.008758</td>\n",
       "      <td>30</td>\n",
       "      <td>16</td>\n",
       "      <td>0.038490</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>False</td>\n",
       "      <td>285</td>\n",
       "      <td>7.927363e+06</td>\n",
       "      <td>5.510485e+04</td>\n",
       "      <td>143.859620</td>\n",
       "      <td>8.440544</td>\n",
       "      <td>34</td>\n",
       "      <td>2.889261e+06</td>\n",
       "      <td>7.360667e+04</td>\n",
       "      <td>39.252705</td>\n",
       "      <td>9.199421</td>\n",
       "      <td>34</td>\n",
       "      <td>7.204425e+06</td>\n",
       "      <td>1.348084e+05</td>\n",
       "      <td>53.441960</td>\n",
       "      <td>7.617922</td>\n",
       "      <td>1.273272</td>\n",
       "      <td>0</td>\n",
       "      <td>1.581499</td>\n",
       "      <td>0.758877</td>\n",
       "      <td>0.822622</td>\n",
       "      <td>11.352845</td>\n",
       "      <td>4.566715</td>\n",
       "      <td>11</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>285.998352</td>\n",
       "      <td>2.365772</td>\n",
       "      <td>197.638616</td>\n",
       "      <td>-56.535570</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5003.4550</td>\n",
       "      <td>4292.4697</td>\n",
       "      <td>6064.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>60.909980</td>\n",
       "      <td>41.467712</td>\n",
       "      <td>82.758760</td>\n",
       "      <td>2094.843800</td>\n",
       "      <td>1806.50620</td>\n",
       "      <td>2383.181200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>314</td>\n",
       "      <td>SV Vel</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1491</td>\n",
       "      <td>6.370</td>\n",
       "      <td>5.944</td>\n",
       "      <td>5.769</td>\n",
       "      <td>0.12</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.77</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7632</td>\n",
       "      <td>433</td>\n",
       "      <td>b|</td>\n",
       "      <td>LIII</td>\n",
       "      <td>161.23478</td>\n",
       "      <td>-56.28955</td>\n",
       "      <td>0.121344</td>\n",
       "      <td>V* SV Vel</td>\n",
       "      <td>161.234777</td>\n",
       "      <td>-56.289554</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>87</td>\n",
       "      <td>10 44 56.34639</td>\n",
       "      <td>-56 17 22.3951</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>4.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4061</td>\n",
       "      <td>-7.21</td>\n",
       "      <td>2.67</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.730</td>\n",
       "      <td>7.910</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.251</td>\n",
       "      <td>5.846</td>\n",
       "      <td>5.655</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.119116</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5351331755370445056</td>\n",
       "      <td>14.107121</td>\n",
       "      <td>0.000106</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1665.186236</td>\n",
       "      <td>0.000151</td>\n",
       "      <td>1737.333864</td>\n",
       "      <td>0.000151</td>\n",
       "      <td>1653.617921</td>\n",
       "      <td>0.000151</td>\n",
       "      <td>8.071890</td>\n",
       "      <td>0.000749</td>\n",
       "      <td>8.990747</td>\n",
       "      <td>0.001094</td>\n",
       "      <td>7.511985</td>\n",
       "      <td>0.000645</td>\n",
       "      <td>1.219576</td>\n",
       "      <td>0.002339</td>\n",
       "      <td>0.612644</td>\n",
       "      <td>0.002645</td>\n",
       "      <td>0.412258</td>\n",
       "      <td>0.001394</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.420890</td>\n",
       "      <td>0.000826</td>\n",
       "      <td>0.221012</td>\n",
       "      <td>0.000543</td>\n",
       "      <td>3.590327</td>\n",
       "      <td>0.001686</td>\n",
       "      <td>0.529570</td>\n",
       "      <td>0.003616</td>\n",
       "      <td>32</td>\n",
       "      <td>28</td>\n",
       "      <td>28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>240</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5351428787262634624</td>\n",
       "      <td>5351428787262634624</td>\n",
       "      <td>336500592</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>158.295138</td>\n",
       "      <td>0.028010</td>\n",
       "      <td>-58.498623</td>\n",
       "      <td>0.032124</td>\n",
       "      <td>0.301149</td>\n",
       "      <td>0.035838</td>\n",
       "      <td>8.403101</td>\n",
       "      <td>-9.084709</td>\n",
       "      <td>0.061366</td>\n",
       "      <td>2.291378</td>\n",
       "      <td>0.066221</td>\n",
       "      <td>0.158412</td>\n",
       "      <td>-0.150338</td>\n",
       "      <td>-0.023055</td>\n",
       "      <td>0.133712</td>\n",
       "      <td>0.174933</td>\n",
       "      <td>0.149946</td>\n",
       "      <td>-0.034268</td>\n",
       "      <td>0.101131</td>\n",
       "      <td>-0.048259</td>\n",
       "      <td>0.223754</td>\n",
       "      <td>243</td>\n",
       "      <td>243</td>\n",
       "      <td>240</td>\n",
       "      <td>3</td>\n",
       "      <td>11.506213</td>\n",
       "      <td>581.89954</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>70.674350</td>\n",
       "      <td>1.595215</td>\n",
       "      <td>0.007787</td>\n",
       "      <td>0.023405</td>\n",
       "      <td>28</td>\n",
       "      <td>17</td>\n",
       "      <td>0.047045</td>\n",
       "      <td>0</td>\n",
       "      <td>33</td>\n",
       "      <td>False</td>\n",
       "      <td>280</td>\n",
       "      <td>1.173074e+07</td>\n",
       "      <td>1.258889e+05</td>\n",
       "      <td>93.183290</td>\n",
       "      <td>8.015052</td>\n",
       "      <td>31</td>\n",
       "      <td>6.158352e+06</td>\n",
       "      <td>2.353663e+05</td>\n",
       "      <td>26.164967</td>\n",
       "      <td>8.377727</td>\n",
       "      <td>32</td>\n",
       "      <td>7.861892e+06</td>\n",
       "      <td>1.615370e+05</td>\n",
       "      <td>48.669300</td>\n",
       "      <td>7.523102</td>\n",
       "      <td>1.195171</td>\n",
       "      <td>0</td>\n",
       "      <td>0.854624</td>\n",
       "      <td>0.362675</td>\n",
       "      <td>0.491950</td>\n",
       "      <td>-16.749554</td>\n",
       "      <td>3.107003</td>\n",
       "      <td>16</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>2.0</td>\n",
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       "      <td>VARIABLE</td>\n",
       "      <td>285.687625</td>\n",
       "      <td>-0.334166</td>\n",
       "      <td>198.438803</td>\n",
       "      <td>-59.219861</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5636.2500</td>\n",
       "      <td>5440.6997</td>\n",
       "      <td>5755.2300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>75.329580</td>\n",
       "      <td>72.247150</td>\n",
       "      <td>80.841900</td>\n",
       "      <td>5159.253000</td>\n",
       "      <td>4229.33900</td>\n",
       "      <td>6089.167000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>73</td>\n",
       "      <td>Y Car</td>\n",
       "      <td>DCEP(B)</td>\n",
       "      <td>0.5611</td>\n",
       "      <td>6.802</td>\n",
       "      <td>6.573</td>\n",
       "      <td>6.477</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.69</td>\n",
       "      <td>0.19</td>\n",
       "      <td>7682</td>\n",
       "      <td>445</td>\n",
       "      <td>c*</td>\n",
       "      <td>SZI</td>\n",
       "      <td>158.29521</td>\n",
       "      <td>-58.49864</td>\n",
       "      <td>0.148839</td>\n",
       "      <td>V* Y Car</td>\n",
       "      <td>158.295213</td>\n",
       "      <td>-58.498633</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>116</td>\n",
       "      <td>10 33 10.85109</td>\n",
       "      <td>-58 29 55.0778</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR |SB*</td>\n",
       "      <td>-12.900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F0/3</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3011</td>\n",
       "      <td>-9.09</td>\n",
       "      <td>2.29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.750</td>\n",
       "      <td>8.160</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.802</td>\n",
       "      <td>6.573</td>\n",
       "      <td>6.477</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.145223</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5351428787262634624</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.639966</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1684.757550</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>1684.812933</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>1684.891687</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>7.950476</td>\n",
       "      <td>0.000183</td>\n",
       "      <td>8.296596</td>\n",
       "      <td>0.000623</td>\n",
       "      <td>7.482370</td>\n",
       "      <td>0.008262</td>\n",
       "      <td>0.376283</td>\n",
       "      <td>0.000398</td>\n",
       "      <td>0.430960</td>\n",
       "      <td>0.001085</td>\n",
       "      <td>0.227643</td>\n",
       "      <td>0.001514</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>29</td>\n",
       "      <td>25</td>\n",
       "      <td>24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>241</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5351721738384434048</td>\n",
       "      <td>5351721738384434048</td>\n",
       "      <td>1261472405</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>157.296788</td>\n",
       "      <td>0.028072</td>\n",
       "      <td>-57.613392</td>\n",
       "      <td>0.030595</td>\n",
       "      <td>0.560716</td>\n",
       "      <td>0.037466</td>\n",
       "      <td>14.966096</td>\n",
       "      <td>-7.072803</td>\n",
       "      <td>0.057344</td>\n",
       "      <td>2.257035</td>\n",
       "      <td>0.054277</td>\n",
       "      <td>-0.017437</td>\n",
       "      <td>-0.220825</td>\n",
       "      <td>-0.212073</td>\n",
       "      <td>0.066356</td>\n",
       "      <td>0.395419</td>\n",
       "      <td>0.179757</td>\n",
       "      <td>-0.122794</td>\n",
       "      <td>0.299496</td>\n",
       "      <td>-0.016583</td>\n",
       "      <td>0.135611</td>\n",
       "      <td>236</td>\n",
       "      <td>236</td>\n",
       "      <td>233</td>\n",
       "      <td>3</td>\n",
       "      <td>5.361027</td>\n",
       "      <td>361.80185</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>140.996320</td>\n",
       "      <td>1.610491</td>\n",
       "      <td>0.008107</td>\n",
       "      <td>-0.022861</td>\n",
       "      <td>27</td>\n",
       "      <td>15</td>\n",
       "      <td>0.039749</td>\n",
       "      <td>0</td>\n",
       "      <td>36</td>\n",
       "      <td>False</td>\n",
       "      <td>278</td>\n",
       "      <td>9.481168e+06</td>\n",
       "      <td>1.230365e+05</td>\n",
       "      <td>77.059820</td>\n",
       "      <td>8.246211</td>\n",
       "      <td>31</td>\n",
       "      <td>4.783268e+06</td>\n",
       "      <td>2.201499e+05</td>\n",
       "      <td>21.727318</td>\n",
       "      <td>8.652077</td>\n",
       "      <td>31</td>\n",
       "      <td>6.641241e+06</td>\n",
       "      <td>1.849512e+05</td>\n",
       "      <td>35.908073</td>\n",
       "      <td>7.706297</td>\n",
       "      <td>1.204968</td>\n",
       "      <td>0</td>\n",
       "      <td>0.945780</td>\n",
       "      <td>0.405866</td>\n",
       "      <td>0.539914</td>\n",
       "      <td>-4.072004</td>\n",
       "      <td>4.880106</td>\n",
       "      <td>12</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>2.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>284.781081</td>\n",
       "      <td>0.156528</td>\n",
       "      <td>196.485679</td>\n",
       "      <td>-58.981748</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5731.3335</td>\n",
       "      <td>5306.1500</td>\n",
       "      <td>6442.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>35.052940</td>\n",
       "      <td>27.745617</td>\n",
       "      <td>40.895620</td>\n",
       "      <td>1194.445600</td>\n",
       "      <td>1074.43300</td>\n",
       "      <td>1314.458100</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>345</td>\n",
       "      <td>UX Car</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5661</td>\n",
       "      <td>6.992</td>\n",
       "      <td>6.728</td>\n",
       "      <td>6.620</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>0.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.82</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7698</td>\n",
       "      <td>444</td>\n",
       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
       "      <td>157.29685</td>\n",
       "      <td>-57.61341</td>\n",
       "      <td>0.135754</td>\n",
       "      <td>V* UX Car</td>\n",
       "      <td>157.296845</td>\n",
       "      <td>-57.613401</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>111</td>\n",
       "      <td>10 29 11.24287</td>\n",
       "      <td>-57 36 48.2451</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |*  |IR</td>\n",
       "      <td>10.400</td>\n",
       "      <td>0.000035</td>\n",
       "      <td>F2II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.5607</td>\n",
       "      <td>-7.07</td>\n",
       "      <td>2.26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.360</td>\n",
       "      <td>8.620</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.102</td>\n",
       "      <td>6.870</td>\n",
       "      <td>6.706</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.115075</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5351721738384434048</td>\n",
       "      <td>3.682210</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1684.946898</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>1684.943783</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>1684.973297</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>8.076014</td>\n",
       "      <td>0.000387</td>\n",
       "      <td>8.449446</td>\n",
       "      <td>0.000721</td>\n",
       "      <td>7.594699</td>\n",
       "      <td>0.000883</td>\n",
       "      <td>0.694967</td>\n",
       "      <td>0.000340</td>\n",
       "      <td>0.881576</td>\n",
       "      <td>0.000861</td>\n",
       "      <td>0.535369</td>\n",
       "      <td>0.000762</td>\n",
       "      <td>-0.653144</td>\n",
       "      <td>0.220063</td>\n",
       "      <td>0.592210</td>\n",
       "      <td>0.003617</td>\n",
       "      <td>0.293828</td>\n",
       "      <td>0.001458</td>\n",
       "      <td>4.020853</td>\n",
       "      <td>0.002603</td>\n",
       "      <td>2.646487</td>\n",
       "      <td>0.007443</td>\n",
       "      <td>32</td>\n",
       "      <td>31</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>242</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5352181712213705856</td>\n",
       "      <td>5352181712213705856</td>\n",
       "      <td>726459293</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>159.035783</td>\n",
       "      <td>0.028459</td>\n",
       "      <td>-56.043226</td>\n",
       "      <td>0.025360</td>\n",
       "      <td>0.229834</td>\n",
       "      <td>0.033641</td>\n",
       "      <td>6.832002</td>\n",
       "      <td>-7.739495</td>\n",
       "      <td>0.057198</td>\n",
       "      <td>3.388009</td>\n",
       "      <td>0.050441</td>\n",
       "      <td>-0.082759</td>\n",
       "      <td>-0.283453</td>\n",
       "      <td>-0.356736</td>\n",
       "      <td>0.125271</td>\n",
       "      <td>0.235277</td>\n",
       "      <td>0.248557</td>\n",
       "      <td>-0.135661</td>\n",
       "      <td>0.267894</td>\n",
       "      <td>0.171071</td>\n",
       "      <td>0.137342</td>\n",
       "      <td>232</td>\n",
       "      <td>232</td>\n",
       "      <td>230</td>\n",
       "      <td>2</td>\n",
       "      <td>1.797992</td>\n",
       "      <td>264.59350</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>271.371520</td>\n",
       "      <td>1.484749</td>\n",
       "      <td>0.006347</td>\n",
       "      <td>0.023333</td>\n",
       "      <td>27</td>\n",
       "      <td>15</td>\n",
       "      <td>0.041089</td>\n",
       "      <td>0</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>267</td>\n",
       "      <td>1.455817e+06</td>\n",
       "      <td>1.937747e+04</td>\n",
       "      <td>75.129370</td>\n",
       "      <td>10.280599</td>\n",
       "      <td>28</td>\n",
       "      <td>5.214969e+05</td>\n",
       "      <td>2.260657e+04</td>\n",
       "      <td>23.068377</td>\n",
       "      <td>11.058259</td>\n",
       "      <td>29</td>\n",
       "      <td>1.354730e+06</td>\n",
       "      <td>3.372379e+04</td>\n",
       "      <td>40.171330</td>\n",
       "      <td>9.432288</td>\n",
       "      <td>1.288779</td>\n",
       "      <td>0</td>\n",
       "      <td>1.625971</td>\n",
       "      <td>0.777660</td>\n",
       "      <td>0.848310</td>\n",
       "      <td>9.556788</td>\n",
       "      <td>6.069134</td>\n",
       "      <td>6</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>2.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>284.805872</td>\n",
       "      <td>1.992184</td>\n",
       "      <td>195.697041</td>\n",
       "      <td>-57.193850</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4332.0000</td>\n",
       "      <td>4206.2400</td>\n",
       "      <td>4557.3804</td>\n",
       "      <td>0.3160</td>\n",
       "      <td>0.1293</td>\n",
       "      <td>0.9581</td>\n",
       "      <td>0.1692</td>\n",
       "      <td>0.0699</td>\n",
       "      <td>0.5790</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>68.857560</td>\n",
       "      <td>62.215412</td>\n",
       "      <td>73.036575</td>\n",
       "      <td>1504.360000</td>\n",
       "      <td>1164.05080</td>\n",
       "      <td>1844.669200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>315</td>\n",
       "      <td>XX Vel</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8441</td>\n",
       "      <td>8.246</td>\n",
       "      <td>7.767</td>\n",
       "      <td>7.574</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.51</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7760</td>\n",
       "      <td>415</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>159.03585</td>\n",
       "      <td>-56.04324</td>\n",
       "      <td>0.143907</td>\n",
       "      <td>V* XX Vel</td>\n",
       "      <td>159.035842</td>\n",
       "      <td>-56.043241</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>47</td>\n",
       "      <td>10 36 08.60218</td>\n",
       "      <td>-56 02 35.6672</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>15.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2298</td>\n",
       "      <td>-7.74</td>\n",
       "      <td>3.39</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.000</td>\n",
       "      <td>10.640</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.284</td>\n",
       "      <td>7.747</td>\n",
       "      <td>7.548</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.130953</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5352181712213705856</td>\n",
       "      <td>6.984766</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1678.686912</td>\n",
       "      <td>0.000051</td>\n",
       "      <td>1678.493525</td>\n",
       "      <td>0.000051</td>\n",
       "      <td>1678.499196</td>\n",
       "      <td>0.000051</td>\n",
       "      <td>10.217286</td>\n",
       "      <td>0.000630</td>\n",
       "      <td>10.832724</td>\n",
       "      <td>0.001335</td>\n",
       "      <td>9.313351</td>\n",
       "      <td>0.000787</td>\n",
       "      <td>0.928794</td>\n",
       "      <td>0.007824</td>\n",
       "      <td>0.766283</td>\n",
       "      <td>0.002503</td>\n",
       "      <td>0.433591</td>\n",
       "      <td>0.001439</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.484213</td>\n",
       "      <td>0.003443</td>\n",
       "      <td>0.224528</td>\n",
       "      <td>0.003297</td>\n",
       "      <td>5.240576</td>\n",
       "      <td>0.005364</td>\n",
       "      <td>3.974454</td>\n",
       "      <td>0.016443</td>\n",
       "      <td>28</td>\n",
       "      <td>26</td>\n",
       "      <td>27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>243</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5355057622305532928</td>\n",
       "      <td>5355057622305532928</td>\n",
       "      <td>139745357</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>155.170913</td>\n",
       "      <td>0.150463</td>\n",
       "      <td>-55.321381</td>\n",
       "      <td>0.144341</td>\n",
       "      <td>-0.809395</td>\n",
       "      <td>0.176980</td>\n",
       "      <td>-4.573359</td>\n",
       "      <td>-6.902093</td>\n",
       "      <td>0.306256</td>\n",
       "      <td>4.173505</td>\n",
       "      <td>0.283407</td>\n",
       "      <td>-0.034252</td>\n",
       "      <td>-0.228199</td>\n",
       "      <td>-0.339360</td>\n",
       "      <td>0.117055</td>\n",
       "      <td>0.281810</td>\n",
       "      <td>0.178406</td>\n",
       "      <td>-0.186477</td>\n",
       "      <td>0.224142</td>\n",
       "      <td>-0.080907</td>\n",
       "      <td>0.165871</td>\n",
       "      <td>213</td>\n",
       "      <td>213</td>\n",
       "      <td>210</td>\n",
       "      <td>3</td>\n",
       "      <td>37.750877</td>\n",
       "      <td>2309.75830</td>\n",
       "      <td>0.782291</td>\n",
       "      <td>6.491748e+01</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>1.539661</td>\n",
       "      <td>1.448918</td>\n",
       "      <td>0.029739</td>\n",
       "      <td>-0.050301</td>\n",
       "      <td>25</td>\n",
       "      <td>15</td>\n",
       "      <td>0.163206</td>\n",
       "      <td>0</td>\n",
       "      <td>46</td>\n",
       "      <td>False</td>\n",
       "      <td>370</td>\n",
       "      <td>6.487905e+04</td>\n",
       "      <td>2.034574e+04</td>\n",
       "      <td>3.188827</td>\n",
       "      <td>13.658105</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-3.224565</td>\n",
       "      <td>2.622342</td>\n",
       "      <td>15</td>\n",
       "      <td>5500.0</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>282.568864</td>\n",
       "      <td>1.474928</td>\n",
       "      <td>191.803555</td>\n",
       "      <td>-58.160991</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>369</td>\n",
       "      <td>RY Vel</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.4493</td>\n",
       "      <td>5.638</td>\n",
       "      <td>5.136</td>\n",
       "      <td>4.920</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.85</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7774</td>\n",
       "      <td>432</td>\n",
       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
       "      <td>155.17097</td>\n",
       "      <td>-55.32140</td>\n",
       "      <td>0.134708</td>\n",
       "      <td>V* RY Vel</td>\n",
       "      <td>155.170966</td>\n",
       "      <td>-55.321399</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>118</td>\n",
       "      <td>10 20 41.03176</td>\n",
       "      <td>-55 19 17.0359</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>-10.400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5Ib/II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.6100</td>\n",
       "      <td>-6.90</td>\n",
       "      <td>4.17</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.710</td>\n",
       "      <td>7.860</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.533</td>\n",
       "      <td>5.226</td>\n",
       "      <td>4.806</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.125020</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5355057622305532928</td>\n",
       "      <td>28.166159</td>\n",
       "      <td>0.000386</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1620.389937</td>\n",
       "      <td>0.000546</td>\n",
       "      <td>1620.363572</td>\n",
       "      <td>0.000546</td>\n",
       "      <td>1620.852729</td>\n",
       "      <td>0.000546</td>\n",
       "      <td>7.823794</td>\n",
       "      <td>0.000278</td>\n",
       "      <td>8.676967</td>\n",
       "      <td>0.000502</td>\n",
       "      <td>6.955758</td>\n",
       "      <td>0.000521</td>\n",
       "      <td>0.847924</td>\n",
       "      <td>0.000784</td>\n",
       "      <td>1.139540</td>\n",
       "      <td>0.001766</td>\n",
       "      <td>0.697763</td>\n",
       "      <td>0.001339</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.507202</td>\n",
       "      <td>0.001702</td>\n",
       "      <td>0.309632</td>\n",
       "      <td>0.002226</td>\n",
       "      <td>4.717201</td>\n",
       "      <td>0.003160</td>\n",
       "      <td>2.815202</td>\n",
       "      <td>0.007988</td>\n",
       "      <td>36</td>\n",
       "      <td>35</td>\n",
       "      <td>34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>244</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5436296928693979392</td>\n",
       "      <td>5436296928693979392</td>\n",
       "      <td>47812574</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>143.461877</td>\n",
       "      <td>0.017338</td>\n",
       "      <td>-36.615737</td>\n",
       "      <td>0.023757</td>\n",
       "      <td>0.292384</td>\n",
       "      <td>0.028568</td>\n",
       "      <td>10.234822</td>\n",
       "      <td>-6.968931</td>\n",
       "      <td>0.034947</td>\n",
       "      <td>5.849991</td>\n",
       "      <td>0.047047</td>\n",
       "      <td>0.046000</td>\n",
       "      <td>0.036756</td>\n",
       "      <td>-0.368909</td>\n",
       "      <td>0.154090</td>\n",
       "      <td>0.250774</td>\n",
       "      <td>0.146561</td>\n",
       "      <td>-0.430686</td>\n",
       "      <td>0.035273</td>\n",
       "      <td>-0.079893</td>\n",
       "      <td>0.215249</td>\n",
       "      <td>391</td>\n",
       "      <td>391</td>\n",
       "      <td>379</td>\n",
       "      <td>12</td>\n",
       "      <td>4.839166</td>\n",
       "      <td>521.74194</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>257.302030</td>\n",
       "      <td>1.584702</td>\n",
       "      <td>0.005402</td>\n",
       "      <td>-0.000171</td>\n",
       "      <td>45</td>\n",
       "      <td>17</td>\n",
       "      <td>0.035508</td>\n",
       "      <td>0</td>\n",
       "      <td>49</td>\n",
       "      <td>False</td>\n",
       "      <td>413</td>\n",
       "      <td>3.897166e+06</td>\n",
       "      <td>4.127853e+04</td>\n",
       "      <td>94.411450</td>\n",
       "      <td>9.211493</td>\n",
       "      <td>47</td>\n",
       "      <td>1.980684e+06</td>\n",
       "      <td>8.255054e+04</td>\n",
       "      <td>23.993593</td>\n",
       "      <td>9.609350</td>\n",
       "      <td>48</td>\n",
       "      <td>2.826892e+06</td>\n",
       "      <td>7.026971e+04</td>\n",
       "      <td>40.229160</td>\n",
       "      <td>8.633647</td>\n",
       "      <td>1.233608</td>\n",
       "      <td>0</td>\n",
       "      <td>0.975703</td>\n",
       "      <td>0.397857</td>\n",
       "      <td>0.577847</td>\n",
       "      <td>27.510312</td>\n",
       "      <td>4.448300</td>\n",
       "      <td>14</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>264.536932</td>\n",
       "      <td>11.124135</td>\n",
       "      <td>162.674351</td>\n",
       "      <td>-47.502935</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5286.5000</td>\n",
       "      <td>5083.8950</td>\n",
       "      <td>5466.6570</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>51.816128</td>\n",
       "      <td>48.457134</td>\n",
       "      <td>56.028408</td>\n",
       "      <td>1889.285300</td>\n",
       "      <td>1587.69260</td>\n",
       "      <td>2190.878000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>1</td>\n",
       "      <td>T Ant</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7707</td>\n",
       "      <td>7.914</td>\n",
       "      <td>7.602</td>\n",
       "      <td>7.494</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.35</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8706</td>\n",
       "      <td>427</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>143.46191</td>\n",
       "      <td>-36.61576</td>\n",
       "      <td>0.126262</td>\n",
       "      <td>V* T Ant</td>\n",
       "      <td>143.461915</td>\n",
       "      <td>-36.615762</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>67</td>\n",
       "      <td>09 33 50.85957</td>\n",
       "      <td>-36 36 56.7423</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*iC|IR |*</td>\n",
       "      <td>29.500</td>\n",
       "      <td>0.000098</td>\n",
       "      <td>G5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2924</td>\n",
       "      <td>-6.97</td>\n",
       "      <td>5.85</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.930</td>\n",
       "      <td>9.260</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.048</td>\n",
       "      <td>7.667</td>\n",
       "      <td>7.562</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.141032</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5436296928693979392</td>\n",
       "      <td>5.898395</td>\n",
       "      <td>0.000017</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1755.779147</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1755.731990</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>1779.369647</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>9.114833</td>\n",
       "      <td>0.000290</td>\n",
       "      <td>9.519715</td>\n",
       "      <td>0.000664</td>\n",
       "      <td>8.578170</td>\n",
       "      <td>0.000521</td>\n",
       "      <td>0.747076</td>\n",
       "      <td>0.000946</td>\n",
       "      <td>0.979438</td>\n",
       "      <td>0.001676</td>\n",
       "      <td>0.592389</td>\n",
       "      <td>0.001465</td>\n",
       "      <td>-0.067401</td>\n",
       "      <td>0.233766</td>\n",
       "      <td>0.427427</td>\n",
       "      <td>0.000726</td>\n",
       "      <td>0.154758</td>\n",
       "      <td>0.000782</td>\n",
       "      <td>4.644087</td>\n",
       "      <td>0.006631</td>\n",
       "      <td>2.935168</td>\n",
       "      <td>0.003301</td>\n",
       "      <td>45</td>\n",
       "      <td>43</td>\n",
       "      <td>43</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>245</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5506374096132016512</td>\n",
       "      <td>5506374096132016512</td>\n",
       "      <td>83778582</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>114.575843</td>\n",
       "      <td>0.060173</td>\n",
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       "      <td>0.061703</td>\n",
       "      <td>1.260995</td>\n",
       "      <td>0.064282</td>\n",
       "      <td>19.616655</td>\n",
       "      <td>-4.062171</td>\n",
       "      <td>0.124459</td>\n",
       "      <td>5.290631</td>\n",
       "      <td>0.118314</td>\n",
       "      <td>0.194464</td>\n",
       "      <td>0.168661</td>\n",
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       "      <td>-0.007567</td>\n",
       "      <td>0.299270</td>\n",
       "      <td>0.037558</td>\n",
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       "      <td>0.105643</td>\n",
       "      <td>-0.062191</td>\n",
       "      <td>0.140571</td>\n",
       "      <td>267</td>\n",
       "      <td>267</td>\n",
       "      <td>246</td>\n",
       "      <td>21</td>\n",
       "      <td>43.868910</td>\n",
       "      <td>3053.17920</td>\n",
       "      <td>0.356852</td>\n",
       "      <td>5.744673e+01</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>7.111528</td>\n",
       "      <td>1.610205</td>\n",
       "      <td>0.018033</td>\n",
       "      <td>-0.157670</td>\n",
       "      <td>30</td>\n",
       "      <td>16</td>\n",
       "      <td>0.074431</td>\n",
       "      <td>0</td>\n",
       "      <td>37</td>\n",
       "      <td>False</td>\n",
       "      <td>295</td>\n",
       "      <td>1.251201e+08</td>\n",
       "      <td>4.171874e+05</td>\n",
       "      <td>299.913480</td>\n",
       "      <td>5.445048</td>\n",
       "      <td>28</td>\n",
       "      <td>6.299548e+07</td>\n",
       "      <td>7.950134e+05</td>\n",
       "      <td>79.238266</td>\n",
       "      <td>5.853115</td>\n",
       "      <td>28</td>\n",
       "      <td>8.391114e+07</td>\n",
       "      <td>4.240860e+05</td>\n",
       "      <td>197.863510</td>\n",
       "      <td>4.952371</td>\n",
       "      <td>1.174125</td>\n",
       "      <td>0</td>\n",
       "      <td>0.900743</td>\n",
       "      <td>0.408067</td>\n",
       "      <td>0.492677</td>\n",
       "      <td>14.831363</td>\n",
       "      <td>1.106143</td>\n",
       "      <td>13</td>\n",
       "      <td>6250.0</td>\n",
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       "      <td>-0.25</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>261.313309</td>\n",
       "      <td>-12.857806</td>\n",
       "      <td>137.346345</td>\n",
       "      <td>-68.040231</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5790.3335</td>\n",
       "      <td>5560.0000</td>\n",
       "      <td>6035.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>55.370476</td>\n",
       "      <td>50.971905</td>\n",
       "      <td>60.053158</td>\n",
       "      <td>3105.028300</td>\n",
       "      <td>2899.64620</td>\n",
       "      <td>3310.410400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>359</td>\n",
       "      <td>MY Pup</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.7555</td>\n",
       "      <td>4.333</td>\n",
       "      <td>4.050</td>\n",
       "      <td>3.950</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.54</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8096</td>\n",
       "      <td>450</td>\n",
       "      <td>b|</td>\n",
       "      <td>LEM</td>\n",
       "      <td>114.57587</td>\n",
       "      <td>-48.60144</td>\n",
       "      <td>0.124234</td>\n",
       "      <td>* y03 Pup</td>\n",
       "      <td>114.575870</td>\n",
       "      <td>-48.601433</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>95</td>\n",
       "      <td>07 38 18.20876</td>\n",
       "      <td>-48 36 05.1591</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|UV |IR |*  |V*</td>\n",
       "      <td>14.830</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7Ib/II</td>\n",
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       "      <td>1.2610</td>\n",
       "      <td>-4.06</td>\n",
       "      <td>5.29</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>6.320</td>\n",
       "      <td>5.680</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.452</td>\n",
       "      <td>4.151</td>\n",
       "      <td>4.109</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.103389</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>5506374096132016512</td>\n",
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       "      <td>0.000682</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1751.385034</td>\n",
       "      <td>0.000965</td>\n",
       "      <td>1751.061078</td>\n",
       "      <td>0.000965</td>\n",
       "      <td>1779.827281</td>\n",
       "      <td>0.000965</td>\n",
       "      <td>5.435738</td>\n",
       "      <td>0.001062</td>\n",
       "      <td>5.846868</td>\n",
       "      <td>0.000772</td>\n",
       "      <td>4.962090</td>\n",
       "      <td>0.000822</td>\n",
       "      <td>0.133142</td>\n",
       "      <td>0.002696</td>\n",
       "      <td>0.180982</td>\n",
       "      <td>0.002196</td>\n",
       "      <td>0.076684</td>\n",
       "      <td>0.003371</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>20</td>\n",
       "      <td>23</td>\n",
       "      <td>21</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>246</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5519196703818908800</td>\n",
       "      <td>5519196703818908800</td>\n",
       "      <td>816153895</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>122.705472</td>\n",
       "      <td>0.025371</td>\n",
       "      <td>-47.698529</td>\n",
       "      <td>0.034546</td>\n",
       "      <td>0.616138</td>\n",
       "      <td>0.030874</td>\n",
       "      <td>19.956720</td>\n",
       "      <td>-6.803052</td>\n",
       "      <td>0.052117</td>\n",
       "      <td>7.999856</td>\n",
       "      <td>0.068080</td>\n",
       "      <td>-0.111149</td>\n",
       "      <td>-0.107958</td>\n",
       "      <td>-0.119531</td>\n",
       "      <td>0.038084</td>\n",
       "      <td>0.121041</td>\n",
       "      <td>0.051234</td>\n",
       "      <td>-0.537322</td>\n",
       "      <td>0.167120</td>\n",
       "      <td>0.129212</td>\n",
       "      <td>-0.033868</td>\n",
       "      <td>213</td>\n",
       "      <td>213</td>\n",
       "      <td>211</td>\n",
       "      <td>2</td>\n",
       "      <td>7.587645</td>\n",
       "      <td>400.54288</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>111.241940</td>\n",
       "      <td>1.575735</td>\n",
       "      <td>0.008176</td>\n",
       "      <td>-0.117633</td>\n",
       "      <td>24</td>\n",
       "      <td>14</td>\n",
       "      <td>0.050222</td>\n",
       "      <td>0</td>\n",
       "      <td>28</td>\n",
       "      <td>False</td>\n",
       "      <td>246</td>\n",
       "      <td>1.132699e+07</td>\n",
       "      <td>7.260343e+04</td>\n",
       "      <td>156.011800</td>\n",
       "      <td>8.053080</td>\n",
       "      <td>28</td>\n",
       "      <td>5.476992e+06</td>\n",
       "      <td>1.437031e+05</td>\n",
       "      <td>38.113255</td>\n",
       "      <td>8.505033</td>\n",
       "      <td>27</td>\n",
       "      <td>7.898171e+06</td>\n",
       "      <td>1.177669e+05</td>\n",
       "      <td>67.066130</td>\n",
       "      <td>7.518104</td>\n",
       "      <td>1.180822</td>\n",
       "      <td>0</td>\n",
       "      <td>0.986929</td>\n",
       "      <td>0.451953</td>\n",
       "      <td>0.534976</td>\n",
       "      <td>18.565460</td>\n",
       "      <td>3.071521</td>\n",
       "      <td>8</td>\n",
       "      <td>5000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>263.228652</td>\n",
       "      <td>-7.694956</td>\n",
       "      <td>148.209053</td>\n",
       "      <td>-64.669494</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5649.0000</td>\n",
       "      <td>5240.0000</td>\n",
       "      <td>6245.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>35.998287</td>\n",
       "      <td>29.455074</td>\n",
       "      <td>41.837180</td>\n",
       "      <td>1188.898300</td>\n",
       "      <td>1094.02760</td>\n",
       "      <td>1283.769000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>366</td>\n",
       "      <td>AX Vel</td>\n",
       "      <td>CEP(B)</td>\n",
       "      <td>0.4138</td>\n",
       "      <td>6.773</td>\n",
       "      <td>6.478</td>\n",
       "      <td>6.366</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.03</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8120</td>\n",
       "      <td>448</td>\n",
       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
       "      <td>122.70552</td>\n",
       "      <td>-47.69856</td>\n",
       "      <td>0.161389</td>\n",
       "      <td>V* AX Vel</td>\n",
       "      <td>122.705516</td>\n",
       "      <td>-47.698563</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104</td>\n",
       "      <td>08 10 49.32380</td>\n",
       "      <td>-47 41 54.8274</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |*  |IR</td>\n",
       "      <td>24.200</td>\n",
       "      <td>0.000081</td>\n",
       "      <td>F6II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.6161</td>\n",
       "      <td>-6.80</td>\n",
       "      <td>8.00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.780</td>\n",
       "      <td>8.160</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.815</td>\n",
       "      <td>6.429</td>\n",
       "      <td>6.403</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.162772</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5519196703818908800</td>\n",
       "      <td>3.672245</td>\n",
       "      <td>0.000045</td>\n",
       "      <td>2.592817</td>\n",
       "      <td>0.000119</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1724.043042</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>1724.048514</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>1724.031562</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>7.989782</td>\n",
       "      <td>0.000217</td>\n",
       "      <td>8.406317</td>\n",
       "      <td>0.000425</td>\n",
       "      <td>7.452705</td>\n",
       "      <td>0.000311</td>\n",
       "      <td>0.388338</td>\n",
       "      <td>0.000308</td>\n",
       "      <td>0.476435</td>\n",
       "      <td>0.000601</td>\n",
       "      <td>0.293537</td>\n",
       "      <td>0.000440</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>28</td>\n",
       "      <td>27</td>\n",
       "      <td>24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>MULTI</td>\n",
       "      <td>F/1O</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>247</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5519380077440172672</td>\n",
       "      <td>5519380077440172672</td>\n",
       "      <td>1555821449</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>122.999835</td>\n",
       "      <td>0.052469</td>\n",
       "      <td>-46.644320</td>\n",
       "      <td>0.049262</td>\n",
       "      <td>1.216967</td>\n",
       "      <td>0.056958</td>\n",
       "      <td>21.366066</td>\n",
       "      <td>-4.405166</td>\n",
       "      <td>0.100530</td>\n",
       "      <td>6.768308</td>\n",
       "      <td>0.090556</td>\n",
       "      <td>0.069413</td>\n",
       "      <td>0.076962</td>\n",
       "      <td>-0.348546</td>\n",
       "      <td>0.001834</td>\n",
       "      <td>0.280847</td>\n",
       "      <td>0.084544</td>\n",
       "      <td>-0.344318</td>\n",
       "      <td>0.240977</td>\n",
       "      <td>-0.145994</td>\n",
       "      <td>0.102255</td>\n",
       "      <td>237</td>\n",
       "      <td>237</td>\n",
       "      <td>215</td>\n",
       "      <td>22</td>\n",
       "      <td>28.515162</td>\n",
       "      <td>1501.59720</td>\n",
       "      <td>0.247844</td>\n",
       "      <td>2.091936e+01</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>14.398947</td>\n",
       "      <td>1.648809</td>\n",
       "      <td>0.015580</td>\n",
       "      <td>0.134845</td>\n",
       "      <td>27</td>\n",
       "      <td>14</td>\n",
       "      <td>0.061331</td>\n",
       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>True</td>\n",
       "      <td>293</td>\n",
       "      <td>1.164388e+08</td>\n",
       "      <td>5.955365e+05</td>\n",
       "      <td>195.519230</td>\n",
       "      <td>5.523121</td>\n",
       "      <td>29</td>\n",
       "      <td>6.095871e+07</td>\n",
       "      <td>1.255699e+06</td>\n",
       "      <td>48.545616</td>\n",
       "      <td>5.888799</td>\n",
       "      <td>29</td>\n",
       "      <td>6.942926e+07</td>\n",
       "      <td>8.012782e+05</td>\n",
       "      <td>86.648130</td>\n",
       "      <td>5.158063</td>\n",
       "      <td>1.119798</td>\n",
       "      <td>0</td>\n",
       "      <td>0.730735</td>\n",
       "      <td>0.365677</td>\n",
       "      <td>0.365058</td>\n",
       "      <td>28.809397</td>\n",
       "      <td>2.003148</td>\n",
       "      <td>13</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>262.440821</td>\n",
       "      <td>-6.959550</td>\n",
       "      <td>147.409924</td>\n",
       "      <td>-63.654536</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>6059.6665</td>\n",
       "      <td>5951.3335</td>\n",
       "      <td>6158.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>50.228687</td>\n",
       "      <td>48.637352</td>\n",
       "      <td>52.073970</td>\n",
       "      <td>3064.737500</td>\n",
       "      <td>2873.17600</td>\n",
       "      <td>3256.299000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>365</td>\n",
       "      <td>AH Vel</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.6260</td>\n",
       "      <td>4.568</td>\n",
       "      <td>4.327</td>\n",
       "      <td>4.235</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.41</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8074</td>\n",
       "      <td>450</td>\n",
       "      <td>b|</td>\n",
       "      <td>LEM</td>\n",
       "      <td>122.99987</td>\n",
       "      <td>-46.64435</td>\n",
       "      <td>0.139036</td>\n",
       "      <td>V* AH Vel</td>\n",
       "      <td>122.999863</td>\n",
       "      <td>-46.644349</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>147</td>\n",
       "      <td>08 11 59.96702</td>\n",
       "      <td>-46 38 39.6561</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>28.810</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7Ib/II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.2170</td>\n",
       "      <td>-4.41</td>\n",
       "      <td>6.77</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.350</td>\n",
       "      <td>5.760</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.788</td>\n",
       "      <td>4.424</td>\n",
       "      <td>4.296</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.125172</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5519380077440172672</td>\n",
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       "      <td>0.000121</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1718.143258</td>\n",
       "      <td>0.000171</td>\n",
       "      <td>1718.174052</td>\n",
       "      <td>0.000171</td>\n",
       "      <td>1718.034831</td>\n",
       "      <td>0.000171</td>\n",
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       "      <td>0.001597</td>\n",
       "      <td>5.894575</td>\n",
       "      <td>0.001083</td>\n",
       "      <td>5.108949</td>\n",
       "      <td>0.001516</td>\n",
       "      <td>0.292301</td>\n",
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       "      <td>0.379131</td>\n",
       "      <td>0.003724</td>\n",
       "      <td>0.187663</td>\n",
       "      <td>0.004531</td>\n",
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       "      <td>0.183424</td>\n",
       "      <td>0.011894</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>3.581810</td>\n",
       "      <td>0.081798</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>21</td>\n",
       "      <td>24</td>\n",
       "      <td>21</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>248</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5521459979795304320</td>\n",
       "      <td>5521459979795304320</td>\n",
       "      <td>1121981738</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>129.420069</td>\n",
       "      <td>0.026685</td>\n",
       "      <td>-47.361949</td>\n",
       "      <td>0.032830</td>\n",
       "      <td>0.851743</td>\n",
       "      <td>0.034860</td>\n",
       "      <td>24.433538</td>\n",
       "      <td>-6.729725</td>\n",
       "      <td>0.054807</td>\n",
       "      <td>4.174293</td>\n",
       "      <td>0.056180</td>\n",
       "      <td>-0.160240</td>\n",
       "      <td>-0.175041</td>\n",
       "      <td>-0.104685</td>\n",
       "      <td>0.127925</td>\n",
       "      <td>0.378393</td>\n",
       "      <td>0.212820</td>\n",
       "      <td>-0.175128</td>\n",
       "      <td>0.284988</td>\n",
       "      <td>-0.059823</td>\n",
       "      <td>-0.029334</td>\n",
       "      <td>206</td>\n",
       "      <td>206</td>\n",
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       "      <td>0</td>\n",
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       "      <td>219.56787</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>82.136566</td>\n",
       "      <td>1.545260</td>\n",
       "      <td>0.008417</td>\n",
       "      <td>-0.102590</td>\n",
       "      <td>24</td>\n",
       "      <td>15</td>\n",
       "      <td>0.039347</td>\n",
       "      <td>0</td>\n",
       "      <td>27</td>\n",
       "      <td>False</td>\n",
       "      <td>230</td>\n",
       "      <td>1.590418e+07</td>\n",
       "      <td>1.649739e+05</td>\n",
       "      <td>96.404240</td>\n",
       "      <td>7.684587</td>\n",
       "      <td>25</td>\n",
       "      <td>7.026331e+06</td>\n",
       "      <td>2.927985e+05</td>\n",
       "      <td>23.997156</td>\n",
       "      <td>8.234567</td>\n",
       "      <td>26</td>\n",
       "      <td>1.221825e+07</td>\n",
       "      <td>2.989399e+05</td>\n",
       "      <td>40.871925</td>\n",
       "      <td>7.044398</td>\n",
       "      <td>1.210033</td>\n",
       "      <td>0</td>\n",
       "      <td>1.190169</td>\n",
       "      <td>0.549980</td>\n",
       "      <td>0.640189</td>\n",
       "      <td>1.177489</td>\n",
       "      <td>3.914831</td>\n",
       "      <td>14</td>\n",
       "      <td>5750.0</td>\n",
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       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>265.544873</td>\n",
       "      <td>-3.777619</td>\n",
       "      <td>156.450273</td>\n",
       "      <td>-62.017236</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4841.1450</td>\n",
       "      <td>4782.0000</td>\n",
       "      <td>4878.8600</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>44.799230</td>\n",
       "      <td>44.109287</td>\n",
       "      <td>45.914257</td>\n",
       "      <td>993.180400</td>\n",
       "      <td>930.33210</td>\n",
       "      <td>1056.028800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>374</td>\n",
       "      <td>T Vel</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6665</td>\n",
       "      <td>6.170</td>\n",
       "      <td>5.782</td>\n",
       "      <td>5.632</td>\n",
       "      <td>-0.02</td>\n",
       "      <td>0.12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.06</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8084</td>\n",
       "      <td>448</td>\n",
       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
       "      <td>129.42011</td>\n",
       "      <td>-47.36197</td>\n",
       "      <td>0.124417</td>\n",
       "      <td>V* T Vel</td>\n",
       "      <td>129.420112</td>\n",
       "      <td>-47.361967</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>139</td>\n",
       "      <td>08 37 40.82685</td>\n",
       "      <td>-47 21 43.0823</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>8.000</td>\n",
       "      <td>0.000027</td>\n",
       "      <td>G0II</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>8.920</td>\n",
       "      <td>7.680</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.112</td>\n",
       "      <td>5.792</td>\n",
       "      <td>5.637</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.122748</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5521459979795304320</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>1718.044337</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>1755.188957</td>\n",
       "      <td>0.000026</td>\n",
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       "      <td>0.000026</td>\n",
       "      <td>7.709708</td>\n",
       "      <td>0.000196</td>\n",
       "      <td>8.261672</td>\n",
       "      <td>0.000358</td>\n",
       "      <td>7.046423</td>\n",
       "      <td>0.000315</td>\n",
       "      <td>0.521627</td>\n",
       "      <td>0.001502</td>\n",
       "      <td>0.680551</td>\n",
       "      <td>0.002427</td>\n",
       "      <td>0.425236</td>\n",
       "      <td>0.002127</td>\n",
       "      <td>0.108065</td>\n",
       "      <td>0.225057</td>\n",
       "      <td>0.368837</td>\n",
       "      <td>0.001798</td>\n",
       "      <td>0.163711</td>\n",
       "      <td>0.000910</td>\n",
       "      <td>4.438912</td>\n",
       "      <td>0.004413</td>\n",
       "      <td>2.719308</td>\n",
       "      <td>0.012346</td>\n",
       "      <td>26</td>\n",
       "      <td>25</td>\n",
       "      <td>26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>249</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5523162573544337408</td>\n",
       "      <td>5523162573544337408</td>\n",
       "      <td>1308466208</td>\n",
       "      <td>2015.5</td>\n",
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       "      <td>0.303989</td>\n",
       "      <td>-0.193709</td>\n",
       "      <td>-0.044467</td>\n",
       "      <td>216</td>\n",
       "      <td>216</td>\n",
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       "      <td>5</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
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       "      <td>1.522507</td>\n",
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       "      <td>12</td>\n",
       "      <td>0.049599</td>\n",
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       "      <td>False</td>\n",
       "      <td>268</td>\n",
       "      <td>1.237974e+07</td>\n",
       "      <td>1.059384e+06</td>\n",
       "      <td>11.685795</td>\n",
       "      <td>7.956587</td>\n",
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       "      <td>1.207648e+07</td>\n",
       "      <td>8.379832e+05</td>\n",
       "      <td>14.411362</td>\n",
       "      <td>7.646537</td>\n",
       "      <td>27</td>\n",
       "      <td>3.088712e+07</td>\n",
       "      <td>1.742446e+06</td>\n",
       "      <td>17.726303</td>\n",
       "      <td>6.037477</td>\n",
       "      <td>3.470476</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>262.881968</td>\n",
       "      <td>-1.910763</td>\n",
       "      <td>152.831346</td>\n",
       "      <td>-59.293302</td>\n",
       "      <td>102011.0</td>\n",
       "      <td>5095.6333</td>\n",
       "      <td>4284.4497</td>\n",
       "      <td>6938.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>370</td>\n",
       "      <td>RZ Vel</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.3096</td>\n",
       "      <td>4.919</td>\n",
       "      <td>4.474</td>\n",
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       "      <td>0.05</td>\n",
       "      <td>8249</td>\n",
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       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
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       "      <td>-44.11468</td>\n",
       "      <td>0.118686</td>\n",
       "      <td>V* RZ Vel</td>\n",
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       "      <td>-44.114679</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>183</td>\n",
       "      <td>08 37 01.30293</td>\n",
       "      <td>-44 06 52.8444</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*  |SB*</td>\n",
       "      <td>24.900</td>\n",
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       "      <td>G1Ib</td>\n",
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       "      <td>8.507</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>1678.253151</td>\n",
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       "      <td>1678.375818</td>\n",
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       "      <td>0.003574</td>\n",
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       "      <td>22</td>\n",
       "      <td>25</td>\n",
       "      <td>25</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>250</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5537860123428416640</td>\n",
       "      <td>5537860123428416640</td>\n",
       "      <td>462490838</td>\n",
       "      <td>2015.5</td>\n",
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       "      <td>-0.035681</td>\n",
       "      <td>205</td>\n",
       "      <td>205</td>\n",
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       "      <td>7</td>\n",
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       "      <td>0.000000e+00</td>\n",
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       "      <td>True</td>\n",
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       "      <td>1.425786</td>\n",
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       "      <td>-0.074090</td>\n",
       "      <td>24</td>\n",
       "      <td>13</td>\n",
       "      <td>0.041749</td>\n",
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       "      <td>False</td>\n",
       "      <td>221</td>\n",
       "      <td>4.493213e+05</td>\n",
       "      <td>6.679858e+03</td>\n",
       "      <td>67.265100</td>\n",
       "      <td>11.556973</td>\n",
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       "      <td>1.533197e+05</td>\n",
       "      <td>9.251256e+03</td>\n",
       "      <td>16.572847</td>\n",
       "      <td>12.387394</td>\n",
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       "      <td>4.837914e+05</td>\n",
       "      <td>1.845352e+04</td>\n",
       "      <td>26.216751</td>\n",
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       "      <td>5.043980</td>\n",
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       "      <td>136.204033</td>\n",
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       "      <td>100001.0</td>\n",
       "      <td>4222.0000</td>\n",
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       "      <td>4529.3500</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>272</td>\n",
       "      <td>NT Pup</td>\n",
       "      <td>DCEP</td>\n",
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       "      <td>9.149</td>\n",
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       "      <td>0.07</td>\n",
       "      <td>11805</td>\n",
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       "      <td>c</td>\n",
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       "      <td>0.198922</td>\n",
       "      <td>V* NT Pup</td>\n",
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       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>19</td>\n",
       "      <td>07 58 46.33963</td>\n",
       "      <td>-38 59 39.6574</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|V* |IR</td>\n",
       "      <td>82.520</td>\n",
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       "      <td>369295549951641967</td>\n",
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       "      <td>0.101423</td>\n",
       "      <td>0.001456</td>\n",
       "      <td>4.979682</td>\n",
       "      <td>0.006437</td>\n",
       "      <td>3.109859</td>\n",
       "      <td>0.021649</td>\n",
       "      <td>24</td>\n",
       "      <td>25</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>W_VIR</td>\n",
       "      <td>NOT_APPLICABLE</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>251</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5541507237862358912</td>\n",
       "      <td>5541507237862358912</td>\n",
       "      <td>773118373</td>\n",
       "      <td>2015.5</td>\n",
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       "      <td>0.567616</td>\n",
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       "      <td>3.734500</td>\n",
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       "      <td>-0.001552</td>\n",
       "      <td>-0.159241</td>\n",
       "      <td>0.114694</td>\n",
       "      <td>264</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
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       "      <td>-0.047236</td>\n",
       "      <td>30</td>\n",
       "      <td>17</td>\n",
       "      <td>0.040291</td>\n",
       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>False</td>\n",
       "      <td>278</td>\n",
       "      <td>1.368643e+07</td>\n",
       "      <td>2.504429e+05</td>\n",
       "      <td>54.648903</td>\n",
       "      <td>7.847640</td>\n",
       "      <td>30</td>\n",
       "      <td>6.355755e+06</td>\n",
       "      <td>3.771322e+05</td>\n",
       "      <td>16.852858</td>\n",
       "      <td>8.343471</td>\n",
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       "      <td>30.063177</td>\n",
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       "      <td>139.307380</td>\n",
       "      <td>-54.862905</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4998.5000</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>57.400528</td>\n",
       "      <td>54.799300</td>\n",
       "      <td>58.649280</td>\n",
       "      <td>1853.042100</td>\n",
       "      <td>1693.91350</td>\n",
       "      <td>2012.170800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>358</td>\n",
       "      <td>AT Pup</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8238</td>\n",
       "      <td>6.400</td>\n",
       "      <td>6.054</td>\n",
       "      <td>5.930</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.93</td>\n",
       "      <td>0.05</td>\n",
       "      <td>8484</td>\n",
       "      <td>445</td>\n",
       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
       "      <td>123.09335</td>\n",
       "      <td>-36.94376</td>\n",
       "      <td>0.102490</td>\n",
       "      <td>V* AT Pup</td>\n",
       "      <td>123.093347</td>\n",
       "      <td>-36.943758</td>\n",
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       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>108</td>\n",
       "      <td>08 12 22.40321</td>\n",
       "      <td>-36 56 37.5301</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
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       "      <td>F5</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>8.830</td>\n",
       "      <td>8.070</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.091372</td>\n",
       "      <td>369295549951641967</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>1746.234435</td>\n",
       "      <td>0.000145</td>\n",
       "      <td>1746.101462</td>\n",
       "      <td>0.000145</td>\n",
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       "      <td>0.001183</td>\n",
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       "      <td>0.003787</td>\n",
       "      <td>2.751084</td>\n",
       "      <td>0.007615</td>\n",
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       "      <td>28</td>\n",
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       "      <td>DCEP</td>\n",
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       "      <td>FUNDAMENTAL</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>252</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5546476927338700416</td>\n",
       "      <td>5546476927338700416</td>\n",
       "      <td>547670999</td>\n",
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       "      <td>302</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
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       "      <td>1.434875</td>\n",
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       "      <td>34</td>\n",
       "      <td>15</td>\n",
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       "      <td>41</td>\n",
       "      <td>False</td>\n",
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       "      <td>4.312987e+07</td>\n",
       "      <td>5.499718e+05</td>\n",
       "      <td>78.421970</td>\n",
       "      <td>6.601420</td>\n",
       "      <td>34</td>\n",
       "      <td>1.217254e+07</td>\n",
       "      <td>5.765416e+05</td>\n",
       "      <td>21.113033</td>\n",
       "      <td>7.637935</td>\n",
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       "      <td>4.011452e+07</td>\n",
       "      <td>1.396477e+06</td>\n",
       "      <td>28.725517</td>\n",
       "      <td>5.753666</td>\n",
       "      <td>1.212317</td>\n",
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       "      <td>1.036515</td>\n",
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       "      <td>4.731211</td>\n",
       "      <td>17</td>\n",
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       "      <td>VARIABLE</td>\n",
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       "      <td>-52.611806</td>\n",
       "      <td>100001.0</td>\n",
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       "      <td>4087.5000</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>197.115460</td>\n",
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       "      <td>204.879960</td>\n",
       "      <td>8564.895500</td>\n",
       "      <td>7912.82030</td>\n",
       "      <td>9216.971000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>360</td>\n",
       "      <td>RS Pup</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.6169</td>\n",
       "      <td>4.365</td>\n",
       "      <td>3.828</td>\n",
       "      <td>3.619</td>\n",
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       "      <td>0.21</td>\n",
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       "      <td>8585</td>\n",
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       "      <td>LEM</td>\n",
       "      <td>123.26757</td>\n",
       "      <td>-34.57853</td>\n",
       "      <td>0.090643</td>\n",
       "      <td>V* RS Pup</td>\n",
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       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
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       "      <td>301</td>\n",
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       "      <td>-34 34 42.6918</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |RNe|IR |ISM|ISM</td>\n",
       "      <td>24.600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8Iab</td>\n",
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       "      <td>0.069968</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>1675.315815</td>\n",
       "      <td>0.001411</td>\n",
       "      <td>1675.899831</td>\n",
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       "      <td>0.221224</td>\n",
       "      <td>0.001045</td>\n",
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       "      <td>DCEP</td>\n",
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       "      <td>FUNDAMENTAL</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>253</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5613541295473114496</td>\n",
       "      <td>5613541295473114496</td>\n",
       "      <td>1024567563</td>\n",
       "      <td>2015.5</td>\n",
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       "      <td>3.152704</td>\n",
       "      <td>0.053959</td>\n",
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       "      <td>0.072656</td>\n",
       "      <td>-0.048447</td>\n",
       "      <td>0.091135</td>\n",
       "      <td>288</td>\n",
       "      <td>288</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
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       "      <td>1.506750</td>\n",
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       "      <td>0.012954</td>\n",
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       "      <td>0.037799</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>False</td>\n",
       "      <td>329</td>\n",
       "      <td>4.526570e+06</td>\n",
       "      <td>2.841762e+04</td>\n",
       "      <td>159.287460</td>\n",
       "      <td>9.048943</td>\n",
       "      <td>40</td>\n",
       "      <td>1.850624e+06</td>\n",
       "      <td>4.361234e+04</td>\n",
       "      <td>42.433490</td>\n",
       "      <td>9.683093</td>\n",
       "      <td>38</td>\n",
       "      <td>3.846588e+06</td>\n",
       "      <td>5.655288e+04</td>\n",
       "      <td>68.017530</td>\n",
       "      <td>8.299231</td>\n",
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       "      <td>47.905420</td>\n",
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       "      <td>735.05634</td>\n",
       "      <td>892.345500</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>163</td>\n",
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       "      <td>c*</td>\n",
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       "      <td>68</td>\n",
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       "      <td>deltaCep</td>\n",
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       "      <td>0.000012</td>\n",
       "      <td>1755.890486</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>1755.978673</td>\n",
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       "      <td>0.000100</td>\n",
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       "      <td>0.000681</td>\n",
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       "      <td>3.931585</td>\n",
       "      <td>0.008417</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>36</td>\n",
       "      <td>34</td>\n",
       "      <td>32</td>\n",
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       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>254</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5613972681993587200</td>\n",
       "      <td>5613972681993587200</td>\n",
       "      <td>1586184497</td>\n",
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       "      <td>0.092056</td>\n",
       "      <td>298</td>\n",
       "      <td>298</td>\n",
       "      <td>297</td>\n",
       "      <td>1</td>\n",
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       "      <td>0.000000e+00</td>\n",
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       "      <td>True</td>\n",
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       "      <td>-0.012515</td>\n",
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       "      <td>15</td>\n",
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       "      <td>5.854193e+06</td>\n",
       "      <td>5.088128e+04</td>\n",
       "      <td>115.055950</td>\n",
       "      <td>8.769698</td>\n",
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       "      <td>2.512754e+06</td>\n",
       "      <td>8.402466e+04</td>\n",
       "      <td>29.904963</td>\n",
       "      <td>9.351013</td>\n",
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       "      <td>4.803282e+06</td>\n",
       "      <td>9.531189e+04</td>\n",
       "      <td>50.395410</td>\n",
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       "      <td>1.249709</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>VARIABLE</td>\n",
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       "      <td>124.124157</td>\n",
       "      <td>-46.340640</td>\n",
       "      <td>100001.0</td>\n",
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       "      <td>4806.0464</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>62.847233</td>\n",
       "      <td>60.638970</td>\n",
       "      <td>68.685830</td>\n",
       "      <td>2267.675300</td>\n",
       "      <td>1887.36470</td>\n",
       "      <td>2647.985800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>362</td>\n",
       "      <td>WX Pup</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.9512</td>\n",
       "      <td>7.134</td>\n",
       "      <td>6.721</td>\n",
       "      <td>6.572</td>\n",
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       "      <td>-0.01</td>\n",
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       "      <td>11.94</td>\n",
       "      <td>0.05</td>\n",
       "      <td>9351</td>\n",
       "      <td>441</td>\n",
       "      <td>b</td>\n",
       "      <td>LEM</td>\n",
       "      <td>115.49585</td>\n",
       "      <td>-25.87618</td>\n",
       "      <td>0.051036</td>\n",
       "      <td>V* WX Pup</td>\n",
       "      <td>115.495849</td>\n",
       "      <td>-25.876181</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>91</td>\n",
       "      <td>07 41 59.00370</td>\n",
       "      <td>-25 52 34.2511</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>51.600</td>\n",
       "      <td>0.000172</td>\n",
       "      <td>G0</td>\n",
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       "      <td>9.990</td>\n",
       "      <td>9.090</td>\n",
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       "      <td>0.050468</td>\n",
       "      <td>369295549951641967</td>\n",
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       "      <td>1740.415203</td>\n",
       "      <td>0.000043</td>\n",
       "      <td>1740.487280</td>\n",
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       "      <td>4.840176</td>\n",
       "      <td>0.001784</td>\n",
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       "      <td>36</td>\n",
       "      <td>32</td>\n",
       "      <td>31</td>\n",
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       "      <td>DCEP</td>\n",
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       "      <td>FUNDAMENTAL</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>255</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5614312705966204288</td>\n",
       "      <td>5614312705966204288</td>\n",
       "      <td>923983032</td>\n",
       "      <td>2015.5</td>\n",
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       "      <td>0.290113</td>\n",
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       "      <td>354</td>\n",
       "      <td>354</td>\n",
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       "      <td>3</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
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       "      <td>1.514616</td>\n",
       "      <td>0.006642</td>\n",
       "      <td>-0.061084</td>\n",
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       "      <td>15</td>\n",
       "      <td>0.038179</td>\n",
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       "      <td>41</td>\n",
       "      <td>False</td>\n",
       "      <td>363</td>\n",
       "      <td>2.518881e+06</td>\n",
       "      <td>2.943348e+04</td>\n",
       "      <td>85.578760</td>\n",
       "      <td>9.685347</td>\n",
       "      <td>39</td>\n",
       "      <td>9.320549e+05</td>\n",
       "      <td>3.929354e+04</td>\n",
       "      <td>23.720310</td>\n",
       "      <td>10.427784</td>\n",
       "      <td>40</td>\n",
       "      <td>2.136770e+06</td>\n",
       "      <td>5.555329e+04</td>\n",
       "      <td>38.463420</td>\n",
       "      <td>8.937526</td>\n",
       "      <td>1.218328</td>\n",
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       "      <td>VARIABLE</td>\n",
       "      <td>241.933370</td>\n",
       "      <td>-0.030335</td>\n",
       "      <td>125.923229</td>\n",
       "      <td>-45.704932</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4313.7900</td>\n",
       "      <td>4245.0000</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>356</td>\n",
       "      <td>AD Pup</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.1333</td>\n",
       "      <td>7.723</td>\n",
       "      <td>7.341</td>\n",
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       "      <td>13.12</td>\n",
       "      <td>0.07</td>\n",
       "      <td>10588</td>\n",
       "      <td>434</td>\n",
       "      <td>c</td>\n",
       "      <td>LEM</td>\n",
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       "      <td>-25.57778</td>\n",
       "      <td>0.056090</td>\n",
       "      <td>V* AD Pup</td>\n",
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       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>81</td>\n",
       "      <td>07 48 03.85140</td>\n",
       "      <td>-25 34 40.0231</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR |SB*</td>\n",
       "      <td>51.154</td>\n",
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       "      <td>F8</td>\n",
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       "      <td>0.060092</td>\n",
       "      <td>369295549951641967</td>\n",
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       "      <td>1728.510085</td>\n",
       "      <td>0.000168</td>\n",
       "      <td>1728.447731</td>\n",
       "      <td>0.000168</td>\n",
       "      <td>1728.948770</td>\n",
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       "      <td>10.141953</td>\n",
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       "      <td>0.744819</td>\n",
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       "      <td>0.243702</td>\n",
       "      <td>0.000571</td>\n",
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       "      <td>5.037191</td>\n",
       "      <td>0.002239</td>\n",
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       "      <td>38</td>\n",
       "      <td>35</td>\n",
       "      <td>37</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>256</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5711201189563596416</td>\n",
       "      <td>5711201189563596416</td>\n",
       "      <td>356558958</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>119.240416</td>\n",
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       "      <td>0.027403</td>\n",
       "      <td>0.351249</td>\n",
       "      <td>0.042740</td>\n",
       "      <td>8.218287</td>\n",
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       "      <td>0.057613</td>\n",
       "      <td>2.841002</td>\n",
       "      <td>0.055739</td>\n",
       "      <td>0.213648</td>\n",
       "      <td>0.190149</td>\n",
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       "      <td>0.312946</td>\n",
       "      <td>-0.050151</td>\n",
       "      <td>-0.150917</td>\n",
       "      <td>0.069468</td>\n",
       "      <td>-0.084360</td>\n",
       "      <td>0.172940</td>\n",
       "      <td>258</td>\n",
       "      <td>258</td>\n",
       "      <td>257</td>\n",
       "      <td>1</td>\n",
       "      <td>2.157066</td>\n",
       "      <td>302.84003</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>155.335250</td>\n",
       "      <td>1.575883</td>\n",
       "      <td>0.008099</td>\n",
       "      <td>0.016987</td>\n",
       "      <td>29</td>\n",
       "      <td>13</td>\n",
       "      <td>0.039729</td>\n",
       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>False</td>\n",
       "      <td>285</td>\n",
       "      <td>7.808735e+06</td>\n",
       "      <td>2.581075e+04</td>\n",
       "      <td>302.538100</td>\n",
       "      <td>8.456914</td>\n",
       "      <td>33</td>\n",
       "      <td>3.741843e+06</td>\n",
       "      <td>4.691517e+04</td>\n",
       "      <td>79.757640</td>\n",
       "      <td>8.918674</td>\n",
       "      <td>33</td>\n",
       "      <td>5.764106e+06</td>\n",
       "      <td>4.392297e+04</td>\n",
       "      <td>131.232160</td>\n",
       "      <td>7.860090</td>\n",
       "      <td>1.217348</td>\n",
       "      <td>0</td>\n",
       "      <td>1.058584</td>\n",
       "      <td>0.461761</td>\n",
       "      <td>0.596824</td>\n",
       "      <td>41.621806</td>\n",
       "      <td>1.806127</td>\n",
       "      <td>9</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>240.607501</td>\n",
       "      <td>3.121520</td>\n",
       "      <td>127.649915</td>\n",
       "      <td>-42.518238</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5101.4927</td>\n",
       "      <td>5019.3500</td>\n",
       "      <td>5347.5130</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>66.569480</td>\n",
       "      <td>60.585120</td>\n",
       "      <td>68.766150</td>\n",
       "      <td>2704.171000</td>\n",
       "      <td>2232.24950</td>\n",
       "      <td>3176.092300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>273</td>\n",
       "      <td>V335 Pup</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.6866</td>\n",
       "      <td>7.124</td>\n",
       "      <td>6.819</td>\n",
       "      <td>6.675</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.06</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.99</td>\n",
       "      <td>0.08</td>\n",
       "      <td>9417</td>\n",
       "      <td>444</td>\n",
       "      <td>c*</td>\n",
       "      <td>LIII</td>\n",
       "      <td>119.24043</td>\n",
       "      <td>-22.82545</td>\n",
       "      <td>0.104012</td>\n",
       "      <td>V* V335 Pup</td>\n",
       "      <td>119.240430</td>\n",
       "      <td>-22.825437</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>39</td>\n",
       "      <td>07 56 57.70313</td>\n",
       "      <td>-22 49 31.5718</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>41.620</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F3II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.3512</td>\n",
       "      <td>-3.03</td>\n",
       "      <td>2.84</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.580</td>\n",
       "      <td>9.180</td>\n",
       "      <td>9.16</td>\n",
       "      <td>7.124</td>\n",
       "      <td>6.819</td>\n",
       "      <td>6.675</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.66</td>\n",
       "      <td>8.96</td>\n",
       "      <td>8.11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.064423</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5711201189563596416</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.861031</td>\n",
       "      <td>0.000041</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1784.840543</td>\n",
       "      <td>0.000057</td>\n",
       "      <td>1784.791381</td>\n",
       "      <td>0.000057</td>\n",
       "      <td>1784.900000</td>\n",
       "      <td>0.000057</td>\n",
       "      <td>8.458945</td>\n",
       "      <td>0.000167</td>\n",
       "      <td>8.920549</td>\n",
       "      <td>0.000380</td>\n",
       "      <td>7.861117</td>\n",
       "      <td>0.000214</td>\n",
       "      <td>0.176293</td>\n",
       "      <td>0.000573</td>\n",
       "      <td>0.239516</td>\n",
       "      <td>0.001551</td>\n",
       "      <td>0.133932</td>\n",
       "      <td>0.000579</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.115379</td>\n",
       "      <td>0.002336</td>\n",
       "      <td>0.059874</td>\n",
       "      <td>0.004132</td>\n",
       "      <td>3.923480</td>\n",
       "      <td>0.041475</td>\n",
       "      <td>2.226232</td>\n",
       "      <td>0.035546</td>\n",
       "      <td>31</td>\n",
       "      <td>29</td>\n",
       "      <td>31</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>257</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5823134325151372032</td>\n",
       "      <td>5823134325151372032</td>\n",
       "      <td>369386330</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>240.294628</td>\n",
       "      <td>0.025658</td>\n",
       "      <td>-63.776549</td>\n",
       "      <td>0.018816</td>\n",
       "      <td>1.075261</td>\n",
       "      <td>0.030130</td>\n",
       "      <td>35.687683</td>\n",
       "      <td>-2.244327</td>\n",
       "      <td>0.047880</td>\n",
       "      <td>-2.804482</td>\n",
       "      <td>0.039858</td>\n",
       "      <td>0.213558</td>\n",
       "      <td>-0.057465</td>\n",
       "      <td>-0.522367</td>\n",
       "      <td>-0.178613</td>\n",
       "      <td>-0.077766</td>\n",
       "      <td>-0.205077</td>\n",
       "      <td>-0.336261</td>\n",
       "      <td>-0.115999</td>\n",
       "      <td>0.343732</td>\n",
       "      <td>-0.078903</td>\n",
       "      <td>333</td>\n",
       "      <td>333</td>\n",
       "      <td>324</td>\n",
       "      <td>9</td>\n",
       "      <td>8.766335</td>\n",
       "      <td>594.59930</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.148266e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>289.273100</td>\n",
       "      <td>1.550091</td>\n",
       "      <td>0.005639</td>\n",
       "      <td>0.072061</td>\n",
       "      <td>38</td>\n",
       "      <td>16</td>\n",
       "      <td>0.035976</td>\n",
       "      <td>0</td>\n",
       "      <td>45</td>\n",
       "      <td>False</td>\n",
       "      <td>369</td>\n",
       "      <td>5.870837e+07</td>\n",
       "      <td>5.580283e+05</td>\n",
       "      <td>105.206790</td>\n",
       "      <td>6.266616</td>\n",
       "      <td>36</td>\n",
       "      <td>2.593439e+07</td>\n",
       "      <td>9.113234e+05</td>\n",
       "      <td>28.457947</td>\n",
       "      <td>6.816698</td>\n",
       "      <td>41</td>\n",
       "      <td>4.040380e+07</td>\n",
       "      <td>9.267169e+05</td>\n",
       "      <td>43.598866</td>\n",
       "      <td>5.745864</td>\n",
       "      <td>1.129962</td>\n",
       "      <td>0</td>\n",
       "      <td>1.070834</td>\n",
       "      <td>0.550082</td>\n",
       "      <td>0.520752</td>\n",
       "      <td>6.026501</td>\n",
       "      <td>3.278674</td>\n",
       "      <td>19</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>322.129472</td>\n",
       "      <td>-8.223855</td>\n",
       "      <td>252.836683</td>\n",
       "      <td>-42.096717</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5356.5000</td>\n",
       "      <td>5062.5000</td>\n",
       "      <td>5976.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>53.014248</td>\n",
       "      <td>42.592552</td>\n",
       "      <td>59.350550</td>\n",
       "      <td>2084.512000</td>\n",
       "      <td>1988.94790</td>\n",
       "      <td>2180.076200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>304</td>\n",
       "      <td>S TrA</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8010</td>\n",
       "      <td>5.021</td>\n",
       "      <td>4.696</td>\n",
       "      <td>4.581</td>\n",
       "      <td>0.21</td>\n",
       "      <td>0.18</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.53</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7328</td>\n",
       "      <td>451</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>240.29465</td>\n",
       "      <td>-63.77654</td>\n",
       "      <td>0.047677</td>\n",
       "      <td>V* S TrA</td>\n",
       "      <td>240.294650</td>\n",
       "      <td>-63.776537</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>154</td>\n",
       "      <td>16 01 10.71590</td>\n",
       "      <td>-63 46 35.5324</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>2.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.0753</td>\n",
       "      <td>-2.24</td>\n",
       "      <td>-2.80</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.190</td>\n",
       "      <td>6.410</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.948</td>\n",
       "      <td>4.780</td>\n",
       "      <td>4.594</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.055675</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5823134325151372032</td>\n",
       "      <td>6.316626</td>\n",
       "      <td>0.000111</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1687.965319</td>\n",
       "      <td>0.000158</td>\n",
       "      <td>1687.366307</td>\n",
       "      <td>0.000158</td>\n",
       "      <td>1687.275726</td>\n",
       "      <td>0.000158</td>\n",
       "      <td>6.222012</td>\n",
       "      <td>0.000685</td>\n",
       "      <td>6.593539</td>\n",
       "      <td>0.000769</td>\n",
       "      <td>5.631915</td>\n",
       "      <td>0.000457</td>\n",
       "      <td>0.580652</td>\n",
       "      <td>0.001258</td>\n",
       "      <td>0.821754</td>\n",
       "      <td>0.002439</td>\n",
       "      <td>0.518189</td>\n",
       "      <td>0.001559</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.309048</td>\n",
       "      <td>0.001593</td>\n",
       "      <td>0.134099</td>\n",
       "      <td>0.001321</td>\n",
       "      <td>4.407023</td>\n",
       "      <td>0.007842</td>\n",
       "      <td>2.625055</td>\n",
       "      <td>0.009977</td>\n",
       "      <td>32</td>\n",
       "      <td>36</td>\n",
       "      <td>33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>258</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5824226655600824704</td>\n",
       "      <td>5824226655600824704</td>\n",
       "      <td>424962886</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>232.707545</td>\n",
       "      <td>0.016303</td>\n",
       "      <td>-65.599360</td>\n",
       "      <td>0.023405</td>\n",
       "      <td>0.888756</td>\n",
       "      <td>0.031891</td>\n",
       "      <td>27.868816</td>\n",
       "      <td>-4.750396</td>\n",
       "      <td>0.029169</td>\n",
       "      <td>-7.875164</td>\n",
       "      <td>0.048130</td>\n",
       "      <td>0.254234</td>\n",
       "      <td>-0.068738</td>\n",
       "      <td>-0.258667</td>\n",
       "      <td>-0.141287</td>\n",
       "      <td>-0.055522</td>\n",
       "      <td>-0.114071</td>\n",
       "      <td>-0.398264</td>\n",
       "      <td>-0.004067</td>\n",
       "      <td>0.199226</td>\n",
       "      <td>0.149296</td>\n",
       "      <td>468</td>\n",
       "      <td>468</td>\n",
       "      <td>460</td>\n",
       "      <td>8</td>\n",
       "      <td>8.468964</td>\n",
       "      <td>760.33600</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>94.291490</td>\n",
       "      <td>1.573695</td>\n",
       "      <td>0.005935</td>\n",
       "      <td>0.058808</td>\n",
       "      <td>53</td>\n",
       "      <td>17</td>\n",
       "      <td>0.034671</td>\n",
       "      <td>0</td>\n",
       "      <td>66</td>\n",
       "      <td>False</td>\n",
       "      <td>536</td>\n",
       "      <td>1.760076e+07</td>\n",
       "      <td>3.110058e+04</td>\n",
       "      <td>565.930400</td>\n",
       "      <td>7.574537</td>\n",
       "      <td>59</td>\n",
       "      <td>8.608636e+06</td>\n",
       "      <td>5.541943e+04</td>\n",
       "      <td>155.336070</td>\n",
       "      <td>8.014052</td>\n",
       "      <td>60</td>\n",
       "      <td>1.250053e+07</td>\n",
       "      <td>5.132667e+04</td>\n",
       "      <td>243.548390</td>\n",
       "      <td>7.019599</td>\n",
       "      <td>1.199332</td>\n",
       "      <td>0</td>\n",
       "      <td>0.994453</td>\n",
       "      <td>0.439516</td>\n",
       "      <td>0.554937</td>\n",
       "      <td>-25.235211</td>\n",
       "      <td>1.011822</td>\n",
       "      <td>30</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.25</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>318.422313</td>\n",
       "      <td>-7.641820</td>\n",
       "      <td>249.339516</td>\n",
       "      <td>-44.813426</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5549.3335</td>\n",
       "      <td>5300.0000</td>\n",
       "      <td>5943.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>32.374466</td>\n",
       "      <td>28.227526</td>\n",
       "      <td>35.492170</td>\n",
       "      <td>895.495200</td>\n",
       "      <td>845.01640</td>\n",
       "      <td>945.973940</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>302</td>\n",
       "      <td>LR TrA</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.3852</td>\n",
       "      <td>6.307</td>\n",
       "      <td>6.020</td>\n",
       "      <td>5.880</td>\n",
       "      <td>0.31</td>\n",
       "      <td>0.28</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.16</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7176</td>\n",
       "      <td>450</td>\n",
       "      <td>c*</td>\n",
       "      <td>LIII</td>\n",
       "      <td>232.70760</td>\n",
       "      <td>-65.59933</td>\n",
       "      <td>0.136267</td>\n",
       "      <td>V* LR TrA</td>\n",
       "      <td>232.707594</td>\n",
       "      <td>-65.599326</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>40</td>\n",
       "      <td>15 30 49.82261</td>\n",
       "      <td>-65 35 57.5746</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>*  |IR |V* |Ce*|cC*|SB*</td>\n",
       "      <td>-25.240</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8II</td>\n",
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       "      <td>0.8888</td>\n",
       "      <td>-4.74</td>\n",
       "      <td>-7.42</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.610</td>\n",
       "      <td>7.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.307</td>\n",
       "      <td>6.020</td>\n",
       "      <td>5.880</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.142553</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5824226655600824704</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.428287</td>\n",
       "      <td>0.000008</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1732.512258</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>1732.505653</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>1732.498045</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>7.581978</td>\n",
       "      <td>0.000050</td>\n",
       "      <td>8.017918</td>\n",
       "      <td>0.000107</td>\n",
       "      <td>7.021276</td>\n",
       "      <td>0.000143</td>\n",
       "      <td>0.124307</td>\n",
       "      <td>0.000202</td>\n",
       "      <td>0.153816</td>\n",
       "      <td>0.000695</td>\n",
       "      <td>0.090662</td>\n",
       "      <td>0.000731</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.063916</td>\n",
       "      <td>0.002063</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.030730</td>\n",
       "      <td>0.029661</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>59</td>\n",
       "      <td>57</td>\n",
       "      <td>55</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>259</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5824464493705913472</td>\n",
       "      <td>5824464493705913472</td>\n",
       "      <td>1033943777</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>229.940413</td>\n",
       "      <td>0.018241</td>\n",
       "      <td>-66.496075</td>\n",
       "      <td>0.036803</td>\n",
       "      <td>1.475448</td>\n",
       "      <td>0.037119</td>\n",
       "      <td>39.748653</td>\n",
       "      <td>-5.112891</td>\n",
       "      <td>0.031427</td>\n",
       "      <td>-8.316635</td>\n",
       "      <td>0.069976</td>\n",
       "      <td>0.378647</td>\n",
       "      <td>-0.154348</td>\n",
       "      <td>-0.397156</td>\n",
       "      <td>-0.310156</td>\n",
       "      <td>-0.439949</td>\n",
       "      <td>-0.175001</td>\n",
       "      <td>-0.779251</td>\n",
       "      <td>-0.027774</td>\n",
       "      <td>0.456733</td>\n",
       "      <td>0.174711</td>\n",
       "      <td>386</td>\n",
       "      <td>386</td>\n",
       "      <td>378</td>\n",
       "      <td>8</td>\n",
       "      <td>7.745885</td>\n",
       "      <td>626.14124</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>255.262440</td>\n",
       "      <td>1.577448</td>\n",
       "      <td>0.005865</td>\n",
       "      <td>0.042561</td>\n",
       "      <td>44</td>\n",
       "      <td>16</td>\n",
       "      <td>0.052471</td>\n",
       "      <td>0</td>\n",
       "      <td>58</td>\n",
       "      <td>False</td>\n",
       "      <td>461</td>\n",
       "      <td>5.116600e+07</td>\n",
       "      <td>3.088481e+05</td>\n",
       "      <td>165.667190</td>\n",
       "      <td>6.415912</td>\n",
       "      <td>50</td>\n",
       "      <td>2.410744e+07</td>\n",
       "      <td>5.250886e+05</td>\n",
       "      <td>45.911180</td>\n",
       "      <td>6.896010</td>\n",
       "      <td>49</td>\n",
       "      <td>3.564285e+07</td>\n",
       "      <td>4.894481e+05</td>\n",
       "      <td>72.822525</td>\n",
       "      <td>5.881989</td>\n",
       "      <td>1.167773</td>\n",
       "      <td>0</td>\n",
       "      <td>1.014021</td>\n",
       "      <td>0.480098</td>\n",
       "      <td>0.533923</td>\n",
       "      <td>-19.041625</td>\n",
       "      <td>2.474544</td>\n",
       "      <td>27</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>316.976800</td>\n",
       "      <td>-7.757933</td>\n",
       "      <td>248.295339</td>\n",
       "      <td>-46.049804</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5220.0000</td>\n",
       "      <td>5113.3335</td>\n",
       "      <td>5412.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>38.351290</td>\n",
       "      <td>35.678406</td>\n",
       "      <td>39.968033</td>\n",
       "      <td>983.867740</td>\n",
       "      <td>946.37960</td>\n",
       "      <td>1021.355900</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>303</td>\n",
       "      <td>R TrA</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5301</td>\n",
       "      <td>5.257</td>\n",
       "      <td>4.946</td>\n",
       "      <td>4.831</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.87</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7519</td>\n",
       "      <td>451</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>229.94047</td>\n",
       "      <td>-66.49604</td>\n",
       "      <td>0.150959</td>\n",
       "      <td>V* R TrA</td>\n",
       "      <td>229.940468</td>\n",
       "      <td>-66.496039</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>158</td>\n",
       "      <td>15 19 45.71231</td>\n",
       "      <td>-66 29 45.7417</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>-13.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7Ib/II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.4754</td>\n",
       "      <td>-5.11</td>\n",
       "      <td>-8.32</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.960</td>\n",
       "      <td>6.390</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.340</td>\n",
       "      <td>5.012</td>\n",
       "      <td>4.849</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.151320</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5824464493705913472</td>\n",
       "      <td>3.389323</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1695.661460</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>1695.682191</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>1695.681943</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>6.438563</td>\n",
       "      <td>0.000139</td>\n",
       "      <td>6.860128</td>\n",
       "      <td>0.000339</td>\n",
       "      <td>5.905787</td>\n",
       "      <td>0.000296</td>\n",
       "      <td>0.469699</td>\n",
       "      <td>0.000832</td>\n",
       "      <td>0.602763</td>\n",
       "      <td>0.001516</td>\n",
       "      <td>0.390365</td>\n",
       "      <td>0.001245</td>\n",
       "      <td>0.316721</td>\n",
       "      <td>0.219770</td>\n",
       "      <td>0.296168</td>\n",
       "      <td>0.001323</td>\n",
       "      <td>0.114970</td>\n",
       "      <td>0.000855</td>\n",
       "      <td>4.204472</td>\n",
       "      <td>0.002595</td>\n",
       "      <td>2.118323</td>\n",
       "      <td>0.012046</td>\n",
       "      <td>49</td>\n",
       "      <td>48</td>\n",
       "      <td>44</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>260</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5829232354047904256</td>\n",
       "      <td>5829232354047904256</td>\n",
       "      <td>1386974757</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>241.829170</td>\n",
       "      <td>0.031372</td>\n",
       "      <td>-62.910572</td>\n",
       "      <td>0.027249</td>\n",
       "      <td>0.877189</td>\n",
       "      <td>0.041349</td>\n",
       "      <td>21.214285</td>\n",
       "      <td>-1.426630</td>\n",
       "      <td>0.057785</td>\n",
       "      <td>-2.766595</td>\n",
       "      <td>0.052587</td>\n",
       "      <td>0.326735</td>\n",
       "      <td>-0.007060</td>\n",
       "      <td>-0.572988</td>\n",
       "      <td>-0.252947</td>\n",
       "      <td>0.114447</td>\n",
       "      <td>-0.331332</td>\n",
       "      <td>-0.328114</td>\n",
       "      <td>-0.211893</td>\n",
       "      <td>0.346867</td>\n",
       "      <td>0.031077</td>\n",
       "      <td>315</td>\n",
       "      <td>315</td>\n",
       "      <td>312</td>\n",
       "      <td>3</td>\n",
       "      <td>7.638018</td>\n",
       "      <td>536.85140</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>92.963390</td>\n",
       "      <td>1.598645</td>\n",
       "      <td>0.006938</td>\n",
       "      <td>0.069156</td>\n",
       "      <td>36</td>\n",
       "      <td>15</td>\n",
       "      <td>0.040943</td>\n",
       "      <td>0</td>\n",
       "      <td>42</td>\n",
       "      <td>False</td>\n",
       "      <td>336</td>\n",
       "      <td>1.361990e+07</td>\n",
       "      <td>1.119302e+05</td>\n",
       "      <td>121.682090</td>\n",
       "      <td>7.852931</td>\n",
       "      <td>38</td>\n",
       "      <td>6.907212e+06</td>\n",
       "      <td>2.164442e+05</td>\n",
       "      <td>31.912197</td>\n",
       "      <td>8.253131</td>\n",
       "      <td>36</td>\n",
       "      <td>9.255845e+06</td>\n",
       "      <td>1.917367e+05</td>\n",
       "      <td>48.273716</td>\n",
       "      <td>7.345880</td>\n",
       "      <td>1.186724</td>\n",
       "      <td>0</td>\n",
       "      <td>0.907251</td>\n",
       "      <td>0.400200</td>\n",
       "      <td>0.507051</td>\n",
       "      <td>-12.225930</td>\n",
       "      <td>3.361264</td>\n",
       "      <td>19</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>323.231842</td>\n",
       "      <td>-8.042601</td>\n",
       "      <td>253.428137</td>\n",
       "      <td>-41.082771</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5668.7500</td>\n",
       "      <td>5544.0000</td>\n",
       "      <td>5884.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>27.512815</td>\n",
       "      <td>25.536673</td>\n",
       "      <td>28.764921</td>\n",
       "      <td>704.229100</td>\n",
       "      <td>655.82360</td>\n",
       "      <td>752.634640</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>305</td>\n",
       "      <td>U TrA</td>\n",
       "      <td>CEP(B)</td>\n",
       "      <td>0.4097</td>\n",
       "      <td>6.542</td>\n",
       "      <td>6.351</td>\n",
       "      <td>6.286</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.89</td>\n",
       "      <td>0.19</td>\n",
       "      <td>7207</td>\n",
       "      <td>455</td>\n",
       "      <td>c*</td>\n",
       "      <td>SZI</td>\n",
       "      <td>241.82919</td>\n",
       "      <td>-62.91056</td>\n",
       "      <td>0.055063</td>\n",
       "      <td>V* U TrA</td>\n",
       "      <td>241.829184</td>\n",
       "      <td>-62.910561</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>121</td>\n",
       "      <td>16 07 19.00415</td>\n",
       "      <td>-62 54 38.0179</td>\n",
       "      <td>Cepheid</td>\n",
       "      <td>Ce*|V* |*  |IR</td>\n",
       "      <td>-11.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8Ib/II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.8772</td>\n",
       "      <td>-1.43</td>\n",
       "      <td>-2.77</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.430</td>\n",
       "      <td>7.890</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.542</td>\n",
       "      <td>6.351</td>\n",
       "      <td>6.286</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.048248</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5829232354047904256</td>\n",
       "      <td>2.567202</td>\n",
       "      <td>0.000006</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1698.106460</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>1698.164054</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>1698.199555</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>7.740121</td>\n",
       "      <td>0.000108</td>\n",
       "      <td>8.107104</td>\n",
       "      <td>0.000216</td>\n",
       "      <td>7.265627</td>\n",
       "      <td>0.000242</td>\n",
       "      <td>0.449565</td>\n",
       "      <td>0.000386</td>\n",
       "      <td>0.540402</td>\n",
       "      <td>0.000787</td>\n",
       "      <td>0.335047</td>\n",
       "      <td>0.000653</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>36</td>\n",
       "      <td>35</td>\n",
       "      <td>32</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>261</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5835124087174043136</td>\n",
       "      <td>5835124087174043136</td>\n",
       "      <td>1222207309</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>244.715952</td>\n",
       "      <td>0.037271</td>\n",
       "      <td>-57.899803</td>\n",
       "      <td>0.022119</td>\n",
       "      <td>1.061575</td>\n",
       "      <td>0.042210</td>\n",
       "      <td>25.150066</td>\n",
       "      <td>-1.414971</td>\n",
       "      <td>0.066314</td>\n",
       "      <td>-2.286722</td>\n",
       "      <td>0.056479</td>\n",
       "      <td>0.520148</td>\n",
       "      <td>-0.144479</td>\n",
       "      <td>-0.538861</td>\n",
       "      <td>-0.370207</td>\n",
       "      <td>0.001136</td>\n",
       "      <td>-0.417359</td>\n",
       "      <td>-0.352279</td>\n",
       "      <td>-0.144830</td>\n",
       "      <td>0.174512</td>\n",
       "      <td>-0.111542</td>\n",
       "      <td>428</td>\n",
       "      <td>428</td>\n",
       "      <td>410</td>\n",
       "      <td>18</td>\n",
       "      <td>11.669510</td>\n",
       "      <td>835.09656</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>325.823100</td>\n",
       "      <td>1.539703</td>\n",
       "      <td>0.006811</td>\n",
       "      <td>-0.074486</td>\n",
       "      <td>50</td>\n",
       "      <td>14</td>\n",
       "      <td>0.045771</td>\n",
       "      <td>0</td>\n",
       "      <td>58</td>\n",
       "      <td>True</td>\n",
       "      <td>478</td>\n",
       "      <td>6.533579e+07</td>\n",
       "      <td>3.339066e+05</td>\n",
       "      <td>195.670820</td>\n",
       "      <td>6.150488</td>\n",
       "      <td>43</td>\n",
       "      <td>2.581339e+07</td>\n",
       "      <td>1.035485e+06</td>\n",
       "      <td>24.928799</td>\n",
       "      <td>6.821775</td>\n",
       "      <td>50</td>\n",
       "      <td>4.823391e+07</td>\n",
       "      <td>9.935034e+05</td>\n",
       "      <td>48.549320</td>\n",
       "      <td>5.553539</td>\n",
       "      <td>1.133334</td>\n",
       "      <td>0</td>\n",
       "      <td>1.268237</td>\n",
       "      <td>0.671288</td>\n",
       "      <td>0.596949</td>\n",
       "      <td>-1.376339</td>\n",
       "      <td>2.654813</td>\n",
       "      <td>24</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.25</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>327.753546</td>\n",
       "      <td>-5.403481</td>\n",
       "      <td>253.732765</td>\n",
       "      <td>-35.879893</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5065.7500</td>\n",
       "      <td>4575.2500</td>\n",
       "      <td>5856.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>64.837326</td>\n",
       "      <td>48.518850</td>\n",
       "      <td>79.484600</td>\n",
       "      <td>2494.135000</td>\n",
       "      <td>2350.85060</td>\n",
       "      <td>2637.419400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>333</td>\n",
       "      <td>S Nor</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.9892</td>\n",
       "      <td>4.674</td>\n",
       "      <td>4.288</td>\n",
       "      <td>4.149</td>\n",
       "      <td>0.02</td>\n",
       "      <td>0.10</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.67</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7232</td>\n",
       "      <td>451</td>\n",
       "      <td>b</td>\n",
       "      <td>ROM</td>\n",
       "      <td>244.71597</td>\n",
       "      <td>-57.89979</td>\n",
       "      <td>0.056223</td>\n",
       "      <td>V* S Nor</td>\n",
       "      <td>244.715964</td>\n",
       "      <td>-57.899793</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>321</td>\n",
       "      <td>16 18 51.83133</td>\n",
       "      <td>-57 53 59.2536</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>SB*|V* |cC*|IR |*  |*iC</td>\n",
       "      <td>5.830</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8/G0Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.0616</td>\n",
       "      <td>-1.42</td>\n",
       "      <td>-2.29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.490</td>\n",
       "      <td>6.490</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.868</td>\n",
       "      <td>4.504</td>\n",
       "      <td>4.216</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.041681</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5835124087174043136</td>\n",
       "      <td>9.753759</td>\n",
       "      <td>0.000088</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1677.802089</td>\n",
       "      <td>0.000125</td>\n",
       "      <td>1677.251660</td>\n",
       "      <td>0.000125</td>\n",
       "      <td>1678.491023</td>\n",
       "      <td>0.000125</td>\n",
       "      <td>6.152215</td>\n",
       "      <td>0.000181</td>\n",
       "      <td>6.694971</td>\n",
       "      <td>0.000618</td>\n",
       "      <td>5.517237</td>\n",
       "      <td>0.001218</td>\n",
       "      <td>0.500275</td>\n",
       "      <td>0.000564</td>\n",
       "      <td>0.562972</td>\n",
       "      <td>0.002389</td>\n",
       "      <td>0.343095</td>\n",
       "      <td>0.002031</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.084516</td>\n",
       "      <td>0.001237</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.316662</td>\n",
       "      <td>0.015157</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>37</td>\n",
       "      <td>33</td>\n",
       "      <td>32</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>262</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5848500161483878400</td>\n",
       "      <td>5848500161483878400</td>\n",
       "      <td>1290428101</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>222.626197</td>\n",
       "      <td>0.022852</td>\n",
       "      <td>-67.497632</td>\n",
       "      <td>0.026939</td>\n",
       "      <td>1.015782</td>\n",
       "      <td>0.035968</td>\n",
       "      <td>28.241020</td>\n",
       "      <td>-3.301760</td>\n",
       "      <td>0.036416</td>\n",
       "      <td>-2.249064</td>\n",
       "      <td>0.052382</td>\n",
       "      <td>0.127097</td>\n",
       "      <td>-0.256127</td>\n",
       "      <td>-0.332331</td>\n",
       "      <td>-0.250529</td>\n",
       "      <td>0.053625</td>\n",
       "      <td>-0.184023</td>\n",
       "      <td>-0.395392</td>\n",
       "      <td>0.025980</td>\n",
       "      <td>0.301004</td>\n",
       "      <td>0.214701</td>\n",
       "      <td>283</td>\n",
       "      <td>283</td>\n",
       "      <td>281</td>\n",
       "      <td>2</td>\n",
       "      <td>2.578891</td>\n",
       "      <td>340.36493</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>136.416660</td>\n",
       "      <td>1.547482</td>\n",
       "      <td>0.007711</td>\n",
       "      <td>0.099171</td>\n",
       "      <td>32</td>\n",
       "      <td>18</td>\n",
       "      <td>0.037524</td>\n",
       "      <td>0</td>\n",
       "      <td>44</td>\n",
       "      <td>False</td>\n",
       "      <td>343</td>\n",
       "      <td>2.687902e+07</td>\n",
       "      <td>1.165848e+05</td>\n",
       "      <td>230.553420</td>\n",
       "      <td>7.114832</td>\n",
       "      <td>38</td>\n",
       "      <td>1.186798e+07</td>\n",
       "      <td>1.987586e+05</td>\n",
       "      <td>59.710533</td>\n",
       "      <td>7.665446</td>\n",
       "      <td>39</td>\n",
       "      <td>2.085462e+07</td>\n",
       "      <td>2.048480e+05</td>\n",
       "      <td>101.805374</td>\n",
       "      <td>6.463914</td>\n",
       "      <td>1.217403</td>\n",
       "      <td>0</td>\n",
       "      <td>1.201532</td>\n",
       "      <td>0.550614</td>\n",
       "      <td>0.650918</td>\n",
       "      <td>8.689985</td>\n",
       "      <td>1.573210</td>\n",
       "      <td>16</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>313.973787</td>\n",
       "      <td>-7.214963</td>\n",
       "      <td>245.050472</td>\n",
       "      <td>-48.118836</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5285.0000</td>\n",
       "      <td>4791.5000</td>\n",
       "      <td>6169.0000</td>\n",
       "      <td>1.6430</td>\n",
       "      <td>1.3264</td>\n",
       "      <td>2.3170</td>\n",
       "      <td>0.8590</td>\n",
       "      <td>0.6060</td>\n",
       "      <td>1.1850</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>39.196190</td>\n",
       "      <td>28.767643</td>\n",
       "      <td>47.685993</td>\n",
       "      <td>1079.847300</td>\n",
       "      <td>1021.91327</td>\n",
       "      <td>1137.781400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>160</td>\n",
       "      <td>AV Cir</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.4864</td>\n",
       "      <td>5.582</td>\n",
       "      <td>5.236</td>\n",
       "      <td>5.093</td>\n",
       "      <td>0.17</td>\n",
       "      <td>0.14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.68</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7371</td>\n",
       "      <td>450</td>\n",
       "      <td>b|</td>\n",
       "      <td>LIII</td>\n",
       "      <td>222.62624</td>\n",
       "      <td>-67.49762</td>\n",
       "      <td>0.072851</td>\n",
       "      <td>V* AV Cir</td>\n",
       "      <td>222.626234</td>\n",
       "      <td>-67.497622</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>53</td>\n",
       "      <td>14 50 30.29625</td>\n",
       "      <td>-67 29 51.4400</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |** |cC*|*  |IR</td>\n",
       "      <td>8.690</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.0158</td>\n",
       "      <td>-3.30</td>\n",
       "      <td>-2.25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.290</td>\n",
       "      <td>7.440</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.580</td>\n",
       "      <td>5.231</td>\n",
       "      <td>5.107</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.061922</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5848500161483878400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.065255</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1693.957076</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1693.945493</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1693.979349</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>7.097150</td>\n",
       "      <td>0.000073</td>\n",
       "      <td>7.639723</td>\n",
       "      <td>0.000172</td>\n",
       "      <td>6.439378</td>\n",
       "      <td>0.000462</td>\n",
       "      <td>0.243739</td>\n",
       "      <td>0.000289</td>\n",
       "      <td>0.313260</td>\n",
       "      <td>0.000729</td>\n",
       "      <td>0.186934</td>\n",
       "      <td>0.001472</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.068629</td>\n",
       "      <td>0.001232</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.579018</td>\n",
       "      <td>0.021099</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>37</td>\n",
       "      <td>36</td>\n",
       "      <td>36</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>263</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5855468247702904704</td>\n",
       "      <td>5855468247702904704</td>\n",
       "      <td>845813466</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>190.520889</td>\n",
       "      <td>0.025719</td>\n",
       "      <td>-69.407564</td>\n",
       "      <td>0.022302</td>\n",
       "      <td>1.000182</td>\n",
       "      <td>0.029113</td>\n",
       "      <td>34.355537</td>\n",
       "      <td>-4.179905</td>\n",
       "      <td>0.043637</td>\n",
       "      <td>-2.126723</td>\n",
       "      <td>0.040511</td>\n",
       "      <td>-0.143793</td>\n",
       "      <td>-0.027481</td>\n",
       "      <td>-0.597400</td>\n",
       "      <td>0.064422</td>\n",
       "      <td>-0.128200</td>\n",
       "      <td>0.106298</td>\n",
       "      <td>-0.369436</td>\n",
       "      <td>0.089252</td>\n",
       "      <td>0.483221</td>\n",
       "      <td>-0.005692</td>\n",
       "      <td>313</td>\n",
       "      <td>313</td>\n",
       "      <td>292</td>\n",
       "      <td>21</td>\n",
       "      <td>12.938428</td>\n",
       "      <td>720.74550</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>287.850520</td>\n",
       "      <td>1.570379</td>\n",
       "      <td>0.006524</td>\n",
       "      <td>0.119305</td>\n",
       "      <td>36</td>\n",
       "      <td>18</td>\n",
       "      <td>0.034258</td>\n",
       "      <td>0</td>\n",
       "      <td>46</td>\n",
       "      <td>False</td>\n",
       "      <td>356</td>\n",
       "      <td>5.920536e+07</td>\n",
       "      <td>7.858186e+05</td>\n",
       "      <td>75.342260</td>\n",
       "      <td>6.257463</td>\n",
       "      <td>38</td>\n",
       "      <td>2.737682e+07</td>\n",
       "      <td>7.894980e+05</td>\n",
       "      <td>34.676243</td>\n",
       "      <td>6.757930</td>\n",
       "      <td>38</td>\n",
       "      <td>4.342427e+07</td>\n",
       "      <td>8.385193e+05</td>\n",
       "      <td>51.786854</td>\n",
       "      <td>5.667589</td>\n",
       "      <td>1.195856</td>\n",
       "      <td>0</td>\n",
       "      <td>1.090342</td>\n",
       "      <td>0.500467</td>\n",
       "      <td>0.589874</td>\n",
       "      <td>2.781700</td>\n",
       "      <td>3.107861</td>\n",
       "      <td>22</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>302.104191</td>\n",
       "      <td>-6.550849</td>\n",
       "      <td>231.277211</td>\n",
       "      <td>-56.440748</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5076.4966</td>\n",
       "      <td>4981.0000</td>\n",
       "      <td>5097.0300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>65.163480</td>\n",
       "      <td>64.639520</td>\n",
       "      <td>67.686080</td>\n",
       "      <td>2540.736600</td>\n",
       "      <td>2416.30740</td>\n",
       "      <td>2665.165800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>247</td>\n",
       "      <td>R Mus</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8757</td>\n",
       "      <td>4.904</td>\n",
       "      <td>4.577</td>\n",
       "      <td>4.465</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>-0.11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.66</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7523</td>\n",
       "      <td>450</td>\n",
       "      <td>b|</td>\n",
       "      <td>LIII</td>\n",
       "      <td>190.52094</td>\n",
       "      <td>-69.40756</td>\n",
       "      <td>0.066133</td>\n",
       "      <td>V* R Mus</td>\n",
       "      <td>190.520940</td>\n",
       "      <td>-69.407555</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>134</td>\n",
       "      <td>12 42 05.02561</td>\n",
       "      <td>-69 24 27.1966</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>** |V* |cC*|IR |*</td>\n",
       "      <td>3.800</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>F7Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.0002</td>\n",
       "      <td>-4.18</td>\n",
       "      <td>-2.13</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.110</td>\n",
       "      <td>6.330</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.900</td>\n",
       "      <td>4.642</td>\n",
       "      <td>4.469</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.072692</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5855468247702904704</td>\n",
       "      <td>7.510276</td>\n",
       "      <td>0.000053</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1715.685208</td>\n",
       "      <td>0.000075</td>\n",
       "      <td>1715.749304</td>\n",
       "      <td>0.000075</td>\n",
       "      <td>1678.631492</td>\n",
       "      <td>0.000075</td>\n",
       "      <td>6.099444</td>\n",
       "      <td>0.000274</td>\n",
       "      <td>6.554118</td>\n",
       "      <td>0.001562</td>\n",
       "      <td>5.554744</td>\n",
       "      <td>0.000915</td>\n",
       "      <td>0.708043</td>\n",
       "      <td>0.001083</td>\n",
       "      <td>0.750564</td>\n",
       "      <td>0.005717</td>\n",
       "      <td>0.577576</td>\n",
       "      <td>0.002615</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.294863</td>\n",
       "      <td>0.001621</td>\n",
       "      <td>0.188745</td>\n",
       "      <td>0.002047</td>\n",
       "      <td>5.026962</td>\n",
       "      <td>0.005652</td>\n",
       "      <td>3.064630</td>\n",
       "      <td>0.005865</td>\n",
       "      <td>31</td>\n",
       "      <td>29</td>\n",
       "      <td>29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>264</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5855852527008107008</td>\n",
       "      <td>5855852527008107008</td>\n",
       "      <td>639820602</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>183.195813</td>\n",
       "      <td>0.091689</td>\n",
       "      <td>-70.151795</td>\n",
       "      <td>0.100856</td>\n",
       "      <td>1.131409</td>\n",
       "      <td>0.116695</td>\n",
       "      <td>9.695432</td>\n",
       "      <td>-8.015800</td>\n",
       "      <td>0.192610</td>\n",
       "      <td>-1.673648</td>\n",
       "      <td>0.181443</td>\n",
       "      <td>-0.065277</td>\n",
       "      <td>-0.095168</td>\n",
       "      <td>-0.255252</td>\n",
       "      <td>0.101831</td>\n",
       "      <td>-0.082613</td>\n",
       "      <td>0.134002</td>\n",
       "      <td>-0.185887</td>\n",
       "      <td>0.145845</td>\n",
       "      <td>0.256072</td>\n",
       "      <td>-0.065609</td>\n",
       "      <td>263</td>\n",
       "      <td>263</td>\n",
       "      <td>244</td>\n",
       "      <td>19</td>\n",
       "      <td>60.497940</td>\n",
       "      <td>5496.67600</td>\n",
       "      <td>0.586385</td>\n",
       "      <td>1.430749e+02</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>2.750155</td>\n",
       "      <td>1.505705</td>\n",
       "      <td>0.026724</td>\n",
       "      <td>-0.090616</td>\n",
       "      <td>30</td>\n",
       "      <td>15</td>\n",
       "      <td>0.103372</td>\n",
       "      <td>0</td>\n",
       "      <td>39</td>\n",
       "      <td>False</td>\n",
       "      <td>309</td>\n",
       "      <td>8.046674e+07</td>\n",
       "      <td>5.809871e+05</td>\n",
       "      <td>138.500050</td>\n",
       "      <td>5.924324</td>\n",
       "      <td>28</td>\n",
       "      <td>3.862756e+07</td>\n",
       "      <td>1.159473e+06</td>\n",
       "      <td>33.314754</td>\n",
       "      <td>6.384145</td>\n",
       "      <td>30</td>\n",
       "      <td>5.751341e+07</td>\n",
       "      <td>8.595146e+05</td>\n",
       "      <td>66.913826</td>\n",
       "      <td>5.362497</td>\n",
       "      <td>1.194791</td>\n",
       "      <td>0</td>\n",
       "      <td>1.021648</td>\n",
       "      <td>0.459820</td>\n",
       "      <td>0.561827</td>\n",
       "      <td>4.526675</td>\n",
       "      <td>4.995949</td>\n",
       "      <td>15</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>299.636149</td>\n",
       "      <td>-7.527787</td>\n",
       "      <td>229.111573</td>\n",
       "      <td>-58.809512</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5404.2500</td>\n",
       "      <td>5205.0000</td>\n",
       "      <td>5752.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>57.776886</td>\n",
       "      <td>51.002003</td>\n",
       "      <td>62.285007</td>\n",
       "      <td>2565.338400</td>\n",
       "      <td>2252.07520</td>\n",
       "      <td>2878.601600</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>331</td>\n",
       "      <td>S Mus</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.9850</td>\n",
       "      <td>4.500</td>\n",
       "      <td>4.139</td>\n",
       "      <td>4.005</td>\n",
       "      <td>0.13</td>\n",
       "      <td>0.21</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.53</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7576</td>\n",
       "      <td>450</td>\n",
       "      <td>b</td>\n",
       "      <td>ROM</td>\n",
       "      <td>183.19591</td>\n",
       "      <td>-70.15179</td>\n",
       "      <td>0.120242</td>\n",
       "      <td>V* S Mus</td>\n",
       "      <td>183.195914</td>\n",
       "      <td>-70.151788</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>220</td>\n",
       "      <td>12 12 47.01946</td>\n",
       "      <td>-70 09 06.4365</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>** |** |V* |cC*|IR |*  |SB*</td>\n",
       "      <td>-1.910</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6Ib+B5V</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.1314</td>\n",
       "      <td>-8.02</td>\n",
       "      <td>-1.67</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.010</td>\n",
       "      <td>6.170</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.490</td>\n",
       "      <td>4.160</td>\n",
       "      <td>4.037</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.126924</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5855852527008107008</td>\n",
       "      <td>9.658900</td>\n",
       "      <td>0.000134</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1670.665382</td>\n",
       "      <td>0.000189</td>\n",
       "      <td>1670.762508</td>\n",
       "      <td>0.000189</td>\n",
       "      <td>1679.519340</td>\n",
       "      <td>0.000189</td>\n",
       "      <td>5.865398</td>\n",
       "      <td>0.000338</td>\n",
       "      <td>6.337624</td>\n",
       "      <td>0.000639</td>\n",
       "      <td>5.282944</td>\n",
       "      <td>0.000937</td>\n",
       "      <td>0.450081</td>\n",
       "      <td>0.001840</td>\n",
       "      <td>0.564556</td>\n",
       "      <td>0.008654</td>\n",
       "      <td>0.373318</td>\n",
       "      <td>0.003611</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.148688</td>\n",
       "      <td>0.003163</td>\n",
       "      <td>0.102291</td>\n",
       "      <td>0.001909</td>\n",
       "      <td>6.340095</td>\n",
       "      <td>0.020232</td>\n",
       "      <td>4.731929</td>\n",
       "      <td>0.044118</td>\n",
       "      <td>25</td>\n",
       "      <td>27</td>\n",
       "      <td>27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>265</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5868451040512196224</td>\n",
       "      <td>5868451040512196224</td>\n",
       "      <td>1225299502</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>202.889156</td>\n",
       "      <td>0.091918</td>\n",
       "      <td>-61.582373</td>\n",
       "      <td>0.112558</td>\n",
       "      <td>0.483817</td>\n",
       "      <td>0.154478</td>\n",
       "      <td>3.131951</td>\n",
       "      <td>-5.908236</td>\n",
       "      <td>0.164146</td>\n",
       "      <td>-1.834233</td>\n",
       "      <td>0.212242</td>\n",
       "      <td>0.198531</td>\n",
       "      <td>-0.158781</td>\n",
       "      <td>-0.299355</td>\n",
       "      <td>-0.122275</td>\n",
       "      <td>-0.042358</td>\n",
       "      <td>-0.068962</td>\n",
       "      <td>-0.046891</td>\n",
       "      <td>0.317152</td>\n",
       "      <td>0.307240</td>\n",
       "      <td>0.345013</td>\n",
       "      <td>497</td>\n",
       "      <td>497</td>\n",
       "      <td>485</td>\n",
       "      <td>12</td>\n",
       "      <td>111.393570</td>\n",
       "      <td>18805.14500</td>\n",
       "      <td>0.872977</td>\n",
       "      <td>3.111175e+02</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>1.229720</td>\n",
       "      <td>1.574933</td>\n",
       "      <td>0.031992</td>\n",
       "      <td>0.019930</td>\n",
       "      <td>56</td>\n",
       "      <td>17</td>\n",
       "      <td>0.117961</td>\n",
       "      <td>0</td>\n",
       "      <td>69</td>\n",
       "      <td>False</td>\n",
       "      <td>538</td>\n",
       "      <td>4.990919e+07</td>\n",
       "      <td>1.133181e+05</td>\n",
       "      <td>440.434480</td>\n",
       "      <td>6.442914</td>\n",
       "      <td>52</td>\n",
       "      <td>2.402280e+07</td>\n",
       "      <td>2.082326e+05</td>\n",
       "      <td>115.365210</td>\n",
       "      <td>6.899829</td>\n",
       "      <td>62</td>\n",
       "      <td>3.640726e+07</td>\n",
       "      <td>2.015034e+05</td>\n",
       "      <td>180.678120</td>\n",
       "      <td>5.858950</td>\n",
       "      <td>1.210800</td>\n",
       "      <td>0</td>\n",
       "      <td>1.040879</td>\n",
       "      <td>0.456915</td>\n",
       "      <td>0.583964</td>\n",
       "      <td>-6.966683</td>\n",
       "      <td>1.361004</td>\n",
       "      <td>24</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>307.686717</td>\n",
       "      <td>0.918450</td>\n",
       "      <td>229.847223</td>\n",
       "      <td>-47.163708</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5169.2354</td>\n",
       "      <td>5080.0000</td>\n",
       "      <td>5295.9350</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>147</td>\n",
       "      <td>V659 Cen</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7499</td>\n",
       "      <td>5.177</td>\n",
       "      <td>4.907</td>\n",
       "      <td>4.651</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.06</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.38</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7504</td>\n",
       "      <td>451</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>202.88921</td>\n",
       "      <td>-61.58236</td>\n",
       "      <td>0.103064</td>\n",
       "      <td>V* V659 Cen</td>\n",
       "      <td>202.889210</td>\n",
       "      <td>-61.582365</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>83</td>\n",
       "      <td>13 31 33.41039</td>\n",
       "      <td>-61 34 56.5146</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>** |V* |cC*|IR |UV |*</td>\n",
       "      <td>-6.970</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6/7Ib+B6V</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.4838</td>\n",
       "      <td>-5.91</td>\n",
       "      <td>-1.83</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>0.0</td>\n",
       "      <td>234.0</td>\n",
       "      <td>7.190</td>\n",
       "      <td>6.490</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.216</td>\n",
       "      <td>4.939</td>\n",
       "      <td>4.682</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.095889</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5868451040512196224</td>\n",
       "      <td>5.622828</td>\n",
       "      <td>0.000045</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1722.326272</td>\n",
       "      <td>0.000064</td>\n",
       "      <td>1688.576084</td>\n",
       "      <td>0.000064</td>\n",
       "      <td>1767.878459</td>\n",
       "      <td>0.000064</td>\n",
       "      <td>6.390941</td>\n",
       "      <td>0.000273</td>\n",
       "      <td>6.829429</td>\n",
       "      <td>0.000634</td>\n",
       "      <td>5.826916</td>\n",
       "      <td>0.000239</td>\n",
       "      <td>0.213612</td>\n",
       "      <td>0.000965</td>\n",
       "      <td>0.264582</td>\n",
       "      <td>0.002272</td>\n",
       "      <td>0.126240</td>\n",
       "      <td>0.000728</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.164457</td>\n",
       "      <td>0.002549</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.146596</td>\n",
       "      <td>0.021771</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>38</td>\n",
       "      <td>41</td>\n",
       "      <td>33</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>266</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5868480143187802240</td>\n",
       "      <td>5868480143187802240</td>\n",
       "      <td>1140949919</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>199.742796</td>\n",
       "      <td>0.023122</td>\n",
       "      <td>-62.382345</td>\n",
       "      <td>0.027856</td>\n",
       "      <td>0.556828</td>\n",
       "      <td>0.038559</td>\n",
       "      <td>14.440938</td>\n",
       "      <td>-5.544255</td>\n",
       "      <td>0.041331</td>\n",
       "      <td>-2.357867</td>\n",
       "      <td>0.048704</td>\n",
       "      <td>0.156355</td>\n",
       "      <td>-0.068291</td>\n",
       "      <td>-0.313620</td>\n",
       "      <td>-0.040187</td>\n",
       "      <td>0.165408</td>\n",
       "      <td>0.008793</td>\n",
       "      <td>-0.250281</td>\n",
       "      <td>0.176711</td>\n",
       "      <td>0.217833</td>\n",
       "      <td>0.374325</td>\n",
       "      <td>361</td>\n",
       "      <td>361</td>\n",
       "      <td>356</td>\n",
       "      <td>5</td>\n",
       "      <td>5.450761</td>\n",
       "      <td>515.27057</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>97.938470</td>\n",
       "      <td>1.507753</td>\n",
       "      <td>0.007721</td>\n",
       "      <td>-0.000865</td>\n",
       "      <td>42</td>\n",
       "      <td>16</td>\n",
       "      <td>0.035518</td>\n",
       "      <td>0</td>\n",
       "      <td>51</td>\n",
       "      <td>False</td>\n",
       "      <td>414</td>\n",
       "      <td>1.109387e+07</td>\n",
       "      <td>5.181291e+04</td>\n",
       "      <td>214.114010</td>\n",
       "      <td>8.075658</td>\n",
       "      <td>46</td>\n",
       "      <td>4.551416e+06</td>\n",
       "      <td>7.907801e+04</td>\n",
       "      <td>57.556023</td>\n",
       "      <td>8.706022</td>\n",
       "      <td>44</td>\n",
       "      <td>9.289996e+06</td>\n",
       "      <td>1.028917e+05</td>\n",
       "      <td>90.289070</td>\n",
       "      <td>7.341881</td>\n",
       "      <td>1.247663</td>\n",
       "      <td>0</td>\n",
       "      <td>1.364141</td>\n",
       "      <td>0.630364</td>\n",
       "      <td>0.733777</td>\n",
       "      <td>-24.234218</td>\n",
       "      <td>2.198964</td>\n",
       "      <td>19</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>306.116832</td>\n",
       "      <td>0.319020</td>\n",
       "      <td>228.669867</td>\n",
       "      <td>-48.647221</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4656.6772</td>\n",
       "      <td>4566.0400</td>\n",
       "      <td>4749.6050</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>63.585297</td>\n",
       "      <td>61.121500</td>\n",
       "      <td>66.134720</td>\n",
       "      <td>1712.823600</td>\n",
       "      <td>1537.32690</td>\n",
       "      <td>1888.320300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>143</td>\n",
       "      <td>V378 Cen</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.8102</td>\n",
       "      <td>6.328</td>\n",
       "      <td>5.909</td>\n",
       "      <td>5.743</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.38</td>\n",
       "      <td>0.05</td>\n",
       "      <td>6993</td>\n",
       "      <td>441</td>\n",
       "      <td>b|</td>\n",
       "      <td>LIII</td>\n",
       "      <td>199.74286</td>\n",
       "      <td>-62.38233</td>\n",
       "      <td>0.119192</td>\n",
       "      <td>V* V378 Cen</td>\n",
       "      <td>199.742848</td>\n",
       "      <td>-62.382335</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>93</td>\n",
       "      <td>13 18 58.28350</td>\n",
       "      <td>-62 22 56.4057</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|*  |V* |IR</td>\n",
       "      <td>-17.700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F5Iab/b</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.5568</td>\n",
       "      <td>-5.54</td>\n",
       "      <td>-2.36</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.630</td>\n",
       "      <td>8.540</td>\n",
       "      <td>8.93</td>\n",
       "      <td>6.379</td>\n",
       "      <td>5.947</td>\n",
       "      <td>5.777</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.093384</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5868480143187802240</td>\n",
       "      <td>6.459751</td>\n",
       "      <td>0.000033</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1683.022552</td>\n",
       "      <td>0.000047</td>\n",
       "      <td>1682.957827</td>\n",
       "      <td>0.000047</td>\n",
       "      <td>1721.968590</td>\n",
       "      <td>0.000047</td>\n",
       "      <td>8.081346</td>\n",
       "      <td>0.000113</td>\n",
       "      <td>8.710398</td>\n",
       "      <td>0.000207</td>\n",
       "      <td>7.339149</td>\n",
       "      <td>0.000197</td>\n",
       "      <td>0.309268</td>\n",
       "      <td>0.000385</td>\n",
       "      <td>0.411138</td>\n",
       "      <td>0.001076</td>\n",
       "      <td>0.254092</td>\n",
       "      <td>0.000820</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.278577</td>\n",
       "      <td>0.001629</td>\n",
       "      <td>0.094269</td>\n",
       "      <td>0.001398</td>\n",
       "      <td>4.550685</td>\n",
       "      <td>0.006641</td>\n",
       "      <td>3.197783</td>\n",
       "      <td>0.020449</td>\n",
       "      <td>43</td>\n",
       "      <td>41</td>\n",
       "      <td>39</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>267</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5871738271033526016</td>\n",
       "      <td>5871738271033526016</td>\n",
       "      <td>361639407</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>207.684489</td>\n",
       "      <td>0.018596</td>\n",
       "      <td>-57.580510</td>\n",
       "      <td>0.022806</td>\n",
       "      <td>0.841311</td>\n",
       "      <td>0.034035</td>\n",
       "      <td>24.718979</td>\n",
       "      <td>-5.792509</td>\n",
       "      <td>0.056140</td>\n",
       "      <td>-1.793203</td>\n",
       "      <td>0.053808</td>\n",
       "      <td>0.083659</td>\n",
       "      <td>-0.042753</td>\n",
       "      <td>-0.160970</td>\n",
       "      <td>0.182687</td>\n",
       "      <td>-0.200822</td>\n",
       "      <td>0.270693</td>\n",
       "      <td>-0.216461</td>\n",
       "      <td>-0.277241</td>\n",
       "      <td>0.024052</td>\n",
       "      <td>0.084127</td>\n",
       "      <td>460</td>\n",
       "      <td>460</td>\n",
       "      <td>459</td>\n",
       "      <td>1</td>\n",
       "      <td>5.616139</td>\n",
       "      <td>644.28735</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>89.475900</td>\n",
       "      <td>1.550805</td>\n",
       "      <td>0.004879</td>\n",
       "      <td>0.065712</td>\n",
       "      <td>52</td>\n",
       "      <td>14</td>\n",
       "      <td>0.039116</td>\n",
       "      <td>0</td>\n",
       "      <td>58</td>\n",
       "      <td>False</td>\n",
       "      <td>482</td>\n",
       "      <td>1.834185e+07</td>\n",
       "      <td>1.351103e+05</td>\n",
       "      <td>135.754600</td>\n",
       "      <td>7.529758</td>\n",
       "      <td>52</td>\n",
       "      <td>8.651868e+06</td>\n",
       "      <td>2.432312e+05</td>\n",
       "      <td>35.570550</td>\n",
       "      <td>8.008614</td>\n",
       "      <td>54</td>\n",
       "      <td>1.364057e+07</td>\n",
       "      <td>2.230425e+05</td>\n",
       "      <td>61.156784</td>\n",
       "      <td>6.924839</td>\n",
       "      <td>1.215387</td>\n",
       "      <td>0</td>\n",
       "      <td>1.083775</td>\n",
       "      <td>0.478856</td>\n",
       "      <td>0.604919</td>\n",
       "      <td>-24.929982</td>\n",
       "      <td>2.680091</td>\n",
       "      <td>30</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>2.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>310.839506</td>\n",
       "      <td>4.377954</td>\n",
       "      <td>229.926878</td>\n",
       "      <td>-42.486016</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5066.0000</td>\n",
       "      <td>4960.7400</td>\n",
       "      <td>5135.9800</td>\n",
       "      <td>1.6380</td>\n",
       "      <td>1.3069</td>\n",
       "      <td>2.1641</td>\n",
       "      <td>0.8483</td>\n",
       "      <td>0.6495</td>\n",
       "      <td>1.1181</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>43.342260</td>\n",
       "      <td>42.169193</td>\n",
       "      <td>45.201096</td>\n",
       "      <td>1114.752700</td>\n",
       "      <td>1044.95320</td>\n",
       "      <td>1184.552100</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>144</td>\n",
       "      <td>V381 Cen</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.7058</td>\n",
       "      <td>6.143</td>\n",
       "      <td>5.822</td>\n",
       "      <td>5.703</td>\n",
       "      <td>0.02</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.33</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7235</td>\n",
       "      <td>449</td>\n",
       "      <td>b|</td>\n",
       "      <td>LIII</td>\n",
       "      <td>207.68454</td>\n",
       "      <td>-57.58050</td>\n",
       "      <td>0.103807</td>\n",
       "      <td>V* V381 Cen</td>\n",
       "      <td>207.684536</td>\n",
       "      <td>-57.580502</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>90</td>\n",
       "      <td>13 50 44.28859</td>\n",
       "      <td>-57 34 49.8067</td>\n",
       "      <td>PulsV*WVir</td>\n",
       "      <td>WV*|V* |*  |IR |Ce*</td>\n",
       "      <td>-30.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8Ib/II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.8413</td>\n",
       "      <td>-5.79</td>\n",
       "      <td>-1.79</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.440</td>\n",
       "      <td>7.690</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.057</td>\n",
       "      <td>5.723</td>\n",
       "      <td>5.623</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.093988</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5871738271033526016</td>\n",
       "      <td>5.078903</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1690.702702</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1690.683339</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1721.243430</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>7.427886</td>\n",
       "      <td>0.000172</td>\n",
       "      <td>7.885655</td>\n",
       "      <td>0.000356</td>\n",
       "      <td>6.846390</td>\n",
       "      <td>0.000675</td>\n",
       "      <td>0.616849</td>\n",
       "      <td>0.000695</td>\n",
       "      <td>0.756753</td>\n",
       "      <td>0.001537</td>\n",
       "      <td>0.498649</td>\n",
       "      <td>0.002701</td>\n",
       "      <td>0.134026</td>\n",
       "      <td>0.233762</td>\n",
       "      <td>0.367739</td>\n",
       "      <td>0.000546</td>\n",
       "      <td>0.130040</td>\n",
       "      <td>0.000544</td>\n",
       "      <td>4.377341</td>\n",
       "      <td>0.001821</td>\n",
       "      <td>2.494083</td>\n",
       "      <td>0.006062</td>\n",
       "      <td>49</td>\n",
       "      <td>45</td>\n",
       "      <td>44</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>268</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5871922507947292032</td>\n",
       "      <td>5871922507947292032</td>\n",
       "      <td>1122522156</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>205.077654</td>\n",
       "      <td>0.021883</td>\n",
       "      <td>-57.613184</td>\n",
       "      <td>0.030793</td>\n",
       "      <td>0.537343</td>\n",
       "      <td>0.042194</td>\n",
       "      <td>12.735098</td>\n",
       "      <td>-4.019668</td>\n",
       "      <td>0.063125</td>\n",
       "      <td>-1.131056</td>\n",
       "      <td>0.077868</td>\n",
       "      <td>0.115941</td>\n",
       "      <td>-0.233015</td>\n",
       "      <td>0.034332</td>\n",
       "      <td>0.171834</td>\n",
       "      <td>-0.217908</td>\n",
       "      <td>0.268898</td>\n",
       "      <td>-0.407984</td>\n",
       "      <td>-0.251488</td>\n",
       "      <td>0.056613</td>\n",
       "      <td>0.016881</td>\n",
       "      <td>339</td>\n",
       "      <td>339</td>\n",
       "      <td>338</td>\n",
       "      <td>1</td>\n",
       "      <td>2.758777</td>\n",
       "      <td>408.62555</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>104.535120</td>\n",
       "      <td>1.530867</td>\n",
       "      <td>0.005931</td>\n",
       "      <td>0.013613</td>\n",
       "      <td>38</td>\n",
       "      <td>15</td>\n",
       "      <td>0.050150</td>\n",
       "      <td>0</td>\n",
       "      <td>49</td>\n",
       "      <td>False</td>\n",
       "      <td>391</td>\n",
       "      <td>1.924252e+07</td>\n",
       "      <td>2.318465e+05</td>\n",
       "      <td>82.996830</td>\n",
       "      <td>7.477711</td>\n",
       "      <td>40</td>\n",
       "      <td>7.715677e+06</td>\n",
       "      <td>3.872320e+05</td>\n",
       "      <td>19.925203</td>\n",
       "      <td>8.132953</td>\n",
       "      <td>44</td>\n",
       "      <td>1.462361e+07</td>\n",
       "      <td>4.647868e+05</td>\n",
       "      <td>31.463049</td>\n",
       "      <td>6.849284</td>\n",
       "      <td>1.160933</td>\n",
       "      <td>0</td>\n",
       "      <td>1.283669</td>\n",
       "      <td>0.655242</td>\n",
       "      <td>0.628427</td>\n",
       "      <td>-27.917091</td>\n",
       "      <td>3.436509</td>\n",
       "      <td>19</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.25</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>309.462347</td>\n",
       "      <td>4.637571</td>\n",
       "      <td>228.283564</td>\n",
       "      <td>-43.193405</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5189.0000</td>\n",
       "      <td>4540.0000</td>\n",
       "      <td>5953.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>65.517160</td>\n",
       "      <td>49.779510</td>\n",
       "      <td>85.587570</td>\n",
       "      <td>2803.751200</td>\n",
       "      <td>2485.08860</td>\n",
       "      <td>3122.413800</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>326</td>\n",
       "      <td>XX Cen</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>1.0396</td>\n",
       "      <td>5.937</td>\n",
       "      <td>5.544</td>\n",
       "      <td>5.396</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.07</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7015</td>\n",
       "      <td>445</td>\n",
       "      <td>b</td>\n",
       "      <td>ROM</td>\n",
       "      <td>205.07768</td>\n",
       "      <td>-57.61317</td>\n",
       "      <td>0.070595</td>\n",
       "      <td>V* XX Cen</td>\n",
       "      <td>205.077686</td>\n",
       "      <td>-57.613179</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>157</td>\n",
       "      <td>13 40 18.64469</td>\n",
       "      <td>-57 36 47.4440</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*  |SB*</td>\n",
       "      <td>-18.100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7/8II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.5373</td>\n",
       "      <td>-4.02</td>\n",
       "      <td>-1.13</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.720</td>\n",
       "      <td>7.300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.848</td>\n",
       "      <td>5.525</td>\n",
       "      <td>5.388</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.064724</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5871922507947292032</td>\n",
       "      <td>10.949466</td>\n",
       "      <td>0.000106</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1707.638109</td>\n",
       "      <td>0.000150</td>\n",
       "      <td>1806.186396</td>\n",
       "      <td>0.000150</td>\n",
       "      <td>1707.790603</td>\n",
       "      <td>0.000150</td>\n",
       "      <td>7.466768</td>\n",
       "      <td>0.000138</td>\n",
       "      <td>8.032993</td>\n",
       "      <td>0.000281</td>\n",
       "      <td>6.795106</td>\n",
       "      <td>0.000282</td>\n",
       "      <td>0.750698</td>\n",
       "      <td>0.000498</td>\n",
       "      <td>0.930767</td>\n",
       "      <td>0.000908</td>\n",
       "      <td>0.579908</td>\n",
       "      <td>0.000784</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.275964</td>\n",
       "      <td>0.000738</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.466450</td>\n",
       "      <td>0.002146</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>42</td>\n",
       "      <td>36</td>\n",
       "      <td>41</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>269</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5873984023533350400</td>\n",
       "      <td>5873984023533350400</td>\n",
       "      <td>1506422675</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>223.146842</td>\n",
       "      <td>0.246498</td>\n",
       "      <td>-63.809860</td>\n",
       "      <td>0.269726</td>\n",
       "      <td>1.744906</td>\n",
       "      <td>0.345022</td>\n",
       "      <td>5.057371</td>\n",
       "      <td>-4.778794</td>\n",
       "      <td>0.443338</td>\n",
       "      <td>-5.107998</td>\n",
       "      <td>0.516575</td>\n",
       "      <td>0.128120</td>\n",
       "      <td>-0.220849</td>\n",
       "      <td>-0.336036</td>\n",
       "      <td>-0.104028</td>\n",
       "      <td>-0.211681</td>\n",
       "      <td>-0.047674</td>\n",
       "      <td>-0.377642</td>\n",
       "      <td>-0.021107</td>\n",
       "      <td>0.241103</td>\n",
       "      <td>0.039096</td>\n",
       "      <td>684</td>\n",
       "      <td>684</td>\n",
       "      <td>673</td>\n",
       "      <td>11</td>\n",
       "      <td>387.923340</td>\n",
       "      <td>351735.40000</td>\n",
       "      <td>2.905083</td>\n",
       "      <td>5.237344e+03</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>0.111013</td>\n",
       "      <td>1.402250</td>\n",
       "      <td>0.105285</td>\n",
       "      <td>0.036426</td>\n",
       "      <td>79</td>\n",
       "      <td>18</td>\n",
       "      <td>0.267184</td>\n",
       "      <td>0</td>\n",
       "      <td>90</td>\n",
       "      <td>False</td>\n",
       "      <td>719</td>\n",
       "      <td>9.890574e+07</td>\n",
       "      <td>9.107226e+05</td>\n",
       "      <td>108.601390</td>\n",
       "      <td>5.700312</td>\n",
       "      <td>69</td>\n",
       "      <td>4.342046e+07</td>\n",
       "      <td>2.082654e+06</td>\n",
       "      <td>20.848623</td>\n",
       "      <td>6.257152</td>\n",
       "      <td>68</td>\n",
       "      <td>7.288526e+07</td>\n",
       "      <td>7.937313e+05</td>\n",
       "      <td>91.826120</td>\n",
       "      <td>5.105321</td>\n",
       "      <td>1.175925</td>\n",
       "      <td>0</td>\n",
       "      <td>1.151831</td>\n",
       "      <td>0.556840</td>\n",
       "      <td>0.594991</td>\n",
       "      <td>-18.034541</td>\n",
       "      <td>1.848622</td>\n",
       "      <td>32</td>\n",
       "      <td>5750.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>315.825276</td>\n",
       "      <td>-4.013215</td>\n",
       "      <td>243.068676</td>\n",
       "      <td>-44.686585</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5192.0000</td>\n",
       "      <td>4865.5000</td>\n",
       "      <td>5684.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>45.677780</td>\n",
       "      <td>38.112396</td>\n",
       "      <td>52.013900</td>\n",
       "      <td>1365.977200</td>\n",
       "      <td>1063.10860</td>\n",
       "      <td>1668.845700</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>161</td>\n",
       "      <td>AX Cir</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7221</td>\n",
       "      <td>4.299</td>\n",
       "      <td>3.879</td>\n",
       "      <td>3.780</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.41</td>\n",
       "      <td>0.17</td>\n",
       "      <td>7603</td>\n",
       "      <td>452</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>223.14690</td>\n",
       "      <td>-63.80983</td>\n",
       "      <td>0.142346</td>\n",
       "      <td>*  26 Cir</td>\n",
       "      <td>223.146889</td>\n",
       "      <td>-63.809838</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>112</td>\n",
       "      <td>14 52 35.25324</td>\n",
       "      <td>-63 48 35.4172</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>** |V* |cC*|IR |*  |SB*</td>\n",
       "      <td>-18.030</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.7449</td>\n",
       "      <td>-4.78</td>\n",
       "      <td>-5.11</td>\n",
       "      <td>0.0067</td>\n",
       "      <td>0.0</td>\n",
       "      <td>344.0</td>\n",
       "      <td>6.660</td>\n",
       "      <td>5.960</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.246</td>\n",
       "      <td>3.851</td>\n",
       "      <td>3.756</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.108421</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5873984023533350400</td>\n",
       "      <td>5.275967</td>\n",
       "      <td>0.000153</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1690.745195</td>\n",
       "      <td>0.000216</td>\n",
       "      <td>1690.815783</td>\n",
       "      <td>0.000216</td>\n",
       "      <td>1690.767446</td>\n",
       "      <td>0.000216</td>\n",
       "      <td>5.626411</td>\n",
       "      <td>0.000648</td>\n",
       "      <td>6.087518</td>\n",
       "      <td>0.000518</td>\n",
       "      <td>5.056970</td>\n",
       "      <td>0.000761</td>\n",
       "      <td>0.357495</td>\n",
       "      <td>0.003085</td>\n",
       "      <td>0.428568</td>\n",
       "      <td>0.002010</td>\n",
       "      <td>0.301031</td>\n",
       "      <td>0.004543</td>\n",
       "      <td>0.347662</td>\n",
       "      <td>0.235857</td>\n",
       "      <td>0.304432</td>\n",
       "      <td>0.008315</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.939708</td>\n",
       "      <td>0.017185</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>48</td>\n",
       "      <td>54</td>\n",
       "      <td>54</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>270</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5877460679352962048</td>\n",
       "      <td>5877460679352962048</td>\n",
       "      <td>1126188358</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>221.674869</td>\n",
       "      <td>0.032310</td>\n",
       "      <td>-61.461959</td>\n",
       "      <td>0.031635</td>\n",
       "      <td>0.995196</td>\n",
       "      <td>0.040231</td>\n",
       "      <td>24.736950</td>\n",
       "      <td>-5.354632</td>\n",
       "      <td>0.046685</td>\n",
       "      <td>-3.920177</td>\n",
       "      <td>0.066383</td>\n",
       "      <td>0.085785</td>\n",
       "      <td>-0.069011</td>\n",
       "      <td>-0.764871</td>\n",
       "      <td>-0.204189</td>\n",
       "      <td>-0.029210</td>\n",
       "      <td>-0.156561</td>\n",
       "      <td>-0.283480</td>\n",
       "      <td>-0.018855</td>\n",
       "      <td>0.207723</td>\n",
       "      <td>0.040479</td>\n",
       "      <td>345</td>\n",
       "      <td>345</td>\n",
       "      <td>342</td>\n",
       "      <td>3</td>\n",
       "      <td>10.181795</td>\n",
       "      <td>675.41046</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.539122e-15</td>\n",
       "      <td>31</td>\n",
       "      <td>True</td>\n",
       "      <td>106.694290</td>\n",
       "      <td>1.555459</td>\n",
       "      <td>0.007109</td>\n",
       "      <td>0.076139</td>\n",
       "      <td>39</td>\n",
       "      <td>15</td>\n",
       "      <td>0.044047</td>\n",
       "      <td>0</td>\n",
       "      <td>49</td>\n",
       "      <td>False</td>\n",
       "      <td>379</td>\n",
       "      <td>2.297066e+07</td>\n",
       "      <td>1.037896e+05</td>\n",
       "      <td>221.319400</td>\n",
       "      <td>7.285432</td>\n",
       "      <td>42</td>\n",
       "      <td>1.111614e+07</td>\n",
       "      <td>1.874040e+05</td>\n",
       "      <td>59.316420</td>\n",
       "      <td>7.736504</td>\n",
       "      <td>42</td>\n",
       "      <td>1.672138e+07</td>\n",
       "      <td>1.781755e+05</td>\n",
       "      <td>93.847840</td>\n",
       "      <td>6.703740</td>\n",
       "      <td>1.211873</td>\n",
       "      <td>0</td>\n",
       "      <td>1.032764</td>\n",
       "      <td>0.451072</td>\n",
       "      <td>0.581692</td>\n",
       "      <td>-22.041258</td>\n",
       "      <td>1.440899</td>\n",
       "      <td>23</td>\n",
       "      <td>6500.0</td>\n",
       "      <td>2.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>316.250015</td>\n",
       "      <td>-1.607044</td>\n",
       "      <td>240.891367</td>\n",
       "      <td>-42.816566</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5761.9500</td>\n",
       "      <td>5200.0000</td>\n",
       "      <td>6499.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>30.384600</td>\n",
       "      <td>23.883581</td>\n",
       "      <td>37.306614</td>\n",
       "      <td>916.810850</td>\n",
       "      <td>862.56320</td>\n",
       "      <td>971.058530</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>162</td>\n",
       "      <td>BP Cir</td>\n",
       "      <td>CEP</td>\n",
       "      <td>0.3799</td>\n",
       "      <td>5.918</td>\n",
       "      <td>5.612</td>\n",
       "      <td>5.483</td>\n",
       "      <td>0.02</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.74</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7326</td>\n",
       "      <td>450</td>\n",
       "      <td>b|</td>\n",
       "      <td>LIII</td>\n",
       "      <td>221.67492</td>\n",
       "      <td>-61.46194</td>\n",
       "      <td>0.110591</td>\n",
       "      <td>V* BP Cir</td>\n",
       "      <td>221.674917</td>\n",
       "      <td>-61.461942</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>67</td>\n",
       "      <td>14 46 41.98011</td>\n",
       "      <td>-61 27 42.9903</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|** |V* |IR |Ce*|*  |*iC</td>\n",
       "      <td>-22.040</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F2/3II+B6V</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.9952</td>\n",
       "      <td>-5.36</td>\n",
       "      <td>-3.92</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.120</td>\n",
       "      <td>7.520</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.840</td>\n",
       "      <td>5.577</td>\n",
       "      <td>5.441</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.102862</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>5877460679352962048</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.398121</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1697.026303</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>1697.002653</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>1697.198130</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>7.288328</td>\n",
       "      <td>0.000072</td>\n",
       "      <td>7.734219</td>\n",
       "      <td>0.000185</td>\n",
       "      <td>6.695440</td>\n",
       "      <td>0.003906</td>\n",
       "      <td>0.281950</td>\n",
       "      <td>0.000431</td>\n",
       "      <td>0.341787</td>\n",
       "      <td>0.001111</td>\n",
       "      <td>0.176446</td>\n",
       "      <td>0.018102</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.135207</td>\n",
       "      <td>0.001187</td>\n",
       "      <td>0.016257</td>\n",
       "      <td>0.000766</td>\n",
       "      <td>4.594862</td>\n",
       "      <td>0.008979</td>\n",
       "      <td>4.482771</td>\n",
       "      <td>0.057135</td>\n",
       "      <td>41</td>\n",
       "      <td>40</td>\n",
       "      <td>38</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>271</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5877533315817003648</td>\n",
       "      <td>5877533315817003648</td>\n",
       "      <td>213110016</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>219.299845</td>\n",
       "      <td>0.023951</td>\n",
       "      <td>-62.010916</td>\n",
       "      <td>0.026286</td>\n",
       "      <td>1.014842</td>\n",
       "      <td>0.031892</td>\n",
       "      <td>31.821453</td>\n",
       "      <td>-2.250779</td>\n",
       "      <td>0.037238</td>\n",
       "      <td>-3.589887</td>\n",
       "      <td>0.055132</td>\n",
       "      <td>0.054336</td>\n",
       "      <td>-0.135792</td>\n",
       "      <td>-0.754964</td>\n",
       "      <td>-0.022398</td>\n",
       "      <td>-0.039586</td>\n",
       "      <td>-0.028349</td>\n",
       "      <td>-0.521546</td>\n",
       "      <td>0.047560</td>\n",
       "      <td>0.198781</td>\n",
       "      <td>-0.040627</td>\n",
       "      <td>415</td>\n",
       "      <td>415</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
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       "      <td>1.538235</td>\n",
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       "      <td>16</td>\n",
       "      <td>0.039935</td>\n",
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       "      <td>False</td>\n",
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       "      <td>4.976226e+07</td>\n",
       "      <td>2.667568e+05</td>\n",
       "      <td>186.545400</td>\n",
       "      <td>6.446115</td>\n",
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       "      <td>2.106871e+07</td>\n",
       "      <td>4.541807e+05</td>\n",
       "      <td>46.388382</td>\n",
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       "      <td>3.861089e+07</td>\n",
       "      <td>5.172193e+05</td>\n",
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       "      <td>0.650970</td>\n",
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       "      <td>20</td>\n",
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       "      <td>239.799519</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>58.196410</td>\n",
       "      <td>44.010605</td>\n",
       "      <td>68.416170</td>\n",
       "      <td>2064.816400</td>\n",
       "      <td>1962.33260</td>\n",
       "      <td>2167.300000</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>148</td>\n",
       "      <td>V737 Cen</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8492</td>\n",
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       "      <td>4.573</td>\n",
       "      <td>4.432</td>\n",
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       "      <td>0.11</td>\n",
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       "      <td>deltaCep</td>\n",
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       "      <td>FUNDAMENTAL</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>272</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5891675303053080704</td>\n",
       "      <td>5891675303053080704</td>\n",
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       "      <td>3.934288e+05</td>\n",
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       "      <td>896.47150</td>\n",
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       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>325</td>\n",
       "      <td>V Cen</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7399</td>\n",
       "      <td>5.019</td>\n",
       "      <td>4.642</td>\n",
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       "      <td>ROM</td>\n",
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       "      <td>-56.88772</td>\n",
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       "      <td>V* V Cen</td>\n",
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       "      <td>-56.887715</td>\n",
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       "      <td>0.000</td>\n",
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       "      <td>224</td>\n",
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       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-18.900</td>\n",
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       "      <td>F5Ib/II</td>\n",
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       "      <td>0.002702</td>\n",
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       "      <td>27</td>\n",
       "      <td>27</td>\n",
       "      <td>27</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
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       "      <td>FUNDAMENTAL</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>273</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 5960623272099513856</td>\n",
       "      <td>5960623272099513856</td>\n",
       "      <td>1015199695</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>264.406505</td>\n",
       "      <td>0.049193</td>\n",
       "      <td>-40.813549</td>\n",
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       "      <td>16.095882</td>\n",
       "      <td>-0.427039</td>\n",
       "      <td>0.097294</td>\n",
       "      <td>-1.588256</td>\n",
       "      <td>0.083782</td>\n",
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       "      <td>0.065801</td>\n",
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       "      <td>0.108114</td>\n",
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       "      <td>0.199689</td>\n",
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       "      <td>-0.245611</td>\n",
       "      <td>0.378009</td>\n",
       "      <td>-0.306988</td>\n",
       "      <td>148</td>\n",
       "      <td>148</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>137.036620</td>\n",
       "      <td>1.551539</td>\n",
       "      <td>0.012023</td>\n",
       "      <td>0.020441</td>\n",
       "      <td>17</td>\n",
       "      <td>10</td>\n",
       "      <td>0.067446</td>\n",
       "      <td>0</td>\n",
       "      <td>18</td>\n",
       "      <td>False</td>\n",
       "      <td>148</td>\n",
       "      <td>2.904687e+07</td>\n",
       "      <td>1.674763e+05</td>\n",
       "      <td>173.438690</td>\n",
       "      <td>7.030617</td>\n",
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       "      <td>1.393150e+07</td>\n",
       "      <td>3.218455e+05</td>\n",
       "      <td>43.286290</td>\n",
       "      <td>7.491394</td>\n",
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       "      <td>2.492246e+05</td>\n",
       "      <td>85.178410</td>\n",
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       "      <td>265.564772</td>\n",
       "      <td>-17.460347</td>\n",
       "      <td>100001.0</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>44.571102</td>\n",
       "      <td>33.963520</td>\n",
       "      <td>52.529310</td>\n",
       "      <td>1660.114500</td>\n",
       "      <td>1519.57640</td>\n",
       "      <td>1800.652600</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>277</td>\n",
       "      <td>V950 Sco</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.5289</td>\n",
       "      <td>5.729</td>\n",
       "      <td>5.425</td>\n",
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       "      <td>0.18</td>\n",
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       "      <td>0.05</td>\n",
       "      <td>6933</td>\n",
       "      <td>452</td>\n",
       "      <td>b|</td>\n",
       "      <td>LIII</td>\n",
       "      <td>264.40651</td>\n",
       "      <td>-40.81354</td>\n",
       "      <td>0.036029</td>\n",
       "      <td>V* V950 Sco</td>\n",
       "      <td>264.406508</td>\n",
       "      <td>-40.813543</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>53</td>\n",
       "      <td>17 37 37.56188</td>\n",
       "      <td>-40 48 48.7532</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>cC*|IR |*  |V*</td>\n",
       "      <td>11.610</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F6Ib/II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.8398</td>\n",
       "      <td>-0.43</td>\n",
       "      <td>-1.59</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.990</td>\n",
       "      <td>7.260</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.719</td>\n",
       "      <td>5.439</td>\n",
       "      <td>5.241</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.025492</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>5960623272099513856</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.380197</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1703.941442</td>\n",
       "      <td>0.000035</td>\n",
       "      <td>1703.873522</td>\n",
       "      <td>0.000035</td>\n",
       "      <td>1702.598916</td>\n",
       "      <td>0.000035</td>\n",
       "      <td>7.051635</td>\n",
       "      <td>0.000672</td>\n",
       "      <td>7.511665</td>\n",
       "      <td>0.001548</td>\n",
       "      <td>6.114543</td>\n",
       "      <td>0.025330</td>\n",
       "      <td>0.274803</td>\n",
       "      <td>0.001693</td>\n",
       "      <td>0.321554</td>\n",
       "      <td>0.003689</td>\n",
       "      <td>0.896187</td>\n",
       "      <td>0.056121</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.094179</td>\n",
       "      <td>0.016643</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.944447</td>\n",
       "      <td>1.009840</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15</td>\n",
       "      <td>14</td>\n",
       "      <td>12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FIRST_OVERTONE</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>274</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 6026412893938675712</td>\n",
       "      <td>6026412893938675712</td>\n",
       "      <td>1161445993</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>254.582293</td>\n",
       "      <td>0.048524</td>\n",
       "      <td>-33.609129</td>\n",
       "      <td>0.033172</td>\n",
       "      <td>1.130588</td>\n",
       "      <td>0.055226</td>\n",
       "      <td>20.471851</td>\n",
       "      <td>1.998442</td>\n",
       "      <td>0.095491</td>\n",
       "      <td>-6.318977</td>\n",
       "      <td>0.056524</td>\n",
       "      <td>0.330403</td>\n",
       "      <td>-0.114795</td>\n",
       "      <td>-0.390770</td>\n",
       "      <td>-0.272564</td>\n",
       "      <td>-0.404961</td>\n",
       "      <td>-0.117470</td>\n",
       "      <td>-0.756980</td>\n",
       "      <td>-0.246772</td>\n",
       "      <td>0.446243</td>\n",
       "      <td>0.165455</td>\n",
       "      <td>268</td>\n",
       "      <td>268</td>\n",
       "      <td>266</td>\n",
       "      <td>2</td>\n",
       "      <td>3.605395</td>\n",
       "      <td>351.52972</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>199.737690</td>\n",
       "      <td>1.523333</td>\n",
       "      <td>0.008575</td>\n",
       "      <td>0.166366</td>\n",
       "      <td>30</td>\n",
       "      <td>13</td>\n",
       "      <td>0.058932</td>\n",
       "      <td>0</td>\n",
       "      <td>33</td>\n",
       "      <td>False</td>\n",
       "      <td>277</td>\n",
       "      <td>3.872276e+07</td>\n",
       "      <td>4.013640e+05</td>\n",
       "      <td>96.477910</td>\n",
       "      <td>6.718450</td>\n",
       "      <td>27</td>\n",
       "      <td>1.586642e+07</td>\n",
       "      <td>6.215633e+05</td>\n",
       "      <td>25.526638</td>\n",
       "      <td>7.350191</td>\n",
       "      <td>27</td>\n",
       "      <td>3.287354e+07</td>\n",
       "      <td>9.525453e+05</td>\n",
       "      <td>34.511260</td>\n",
       "      <td>5.969804</td>\n",
       "      <td>1.258690</td>\n",
       "      <td>0</td>\n",
       "      <td>1.380387</td>\n",
       "      <td>0.631741</td>\n",
       "      <td>0.748646</td>\n",
       "      <td>-20.862981</td>\n",
       "      <td>5.575101</td>\n",
       "      <td>10</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>2.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>350.412617</td>\n",
       "      <td>5.666715</td>\n",
       "      <td>256.970483</td>\n",
       "      <td>-10.864588</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4919.7500</td>\n",
       "      <td>4676.5864</td>\n",
       "      <td>5011.6665</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>50.489067</td>\n",
       "      <td>48.654060</td>\n",
       "      <td>55.876022</td>\n",
       "      <td>1345.431300</td>\n",
       "      <td>1256.22100</td>\n",
       "      <td>1434.641600</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>274</td>\n",
       "      <td>RV Sco</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7826</td>\n",
       "      <td>5.081</td>\n",
       "      <td>4.694</td>\n",
       "      <td>4.543</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.36</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7210</td>\n",
       "      <td>452</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>254.58229</td>\n",
       "      <td>-33.60911</td>\n",
       "      <td>0.069107</td>\n",
       "      <td>CD-33 11607A</td>\n",
       "      <td>254.582288</td>\n",
       "      <td>-33.609108</td>\n",
       "      <td>0.017</td>\n",
       "      <td>0.017</td>\n",
       "      <td>90.0</td>\n",
       "      <td>1</td>\n",
       "      <td>16 58 19.749</td>\n",
       "      <td>-33 36 32.79</td>\n",
       "      <td>Star</td>\n",
       "      <td>*  |**</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.40</td>\n",
       "      <td>-6.60</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.188</td>\n",
       "      <td>7.167</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.076223</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>6026412893938675712</td>\n",
       "      <td>14.597656</td>\n",
       "      <td>0.000085</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1711.280407</td>\n",
       "      <td>0.000120</td>\n",
       "      <td>1841.236550</td>\n",
       "      <td>0.000120</td>\n",
       "      <td>1841.028974</td>\n",
       "      <td>0.000120</td>\n",
       "      <td>6.670710</td>\n",
       "      <td>0.000095</td>\n",
       "      <td>7.173227</td>\n",
       "      <td>0.000796</td>\n",
       "      <td>5.949984</td>\n",
       "      <td>0.000183</td>\n",
       "      <td>0.550533</td>\n",
       "      <td>0.000442</td>\n",
       "      <td>1.179539</td>\n",
       "      <td>0.003748</td>\n",
       "      <td>0.369265</td>\n",
       "      <td>0.000937</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.191271</td>\n",
       "      <td>0.000670</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.326687</td>\n",
       "      <td>0.004048</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>29</td>\n",
       "      <td>23</td>\n",
       "      <td>23</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>275</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 6053622679932061056</td>\n",
       "      <td>6053622679932061056</td>\n",
       "      <td>1590898651</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>188.327748</td>\n",
       "      <td>0.034200</td>\n",
       "      <td>-63.506370</td>\n",
       "      <td>0.031274</td>\n",
       "      <td>0.783238</td>\n",
       "      <td>0.044713</td>\n",
       "      <td>17.517078</td>\n",
       "      <td>-3.881711</td>\n",
       "      <td>0.057239</td>\n",
       "      <td>-1.288958</td>\n",
       "      <td>0.055441</td>\n",
       "      <td>0.170595</td>\n",
       "      <td>-0.495099</td>\n",
       "      <td>-0.452151</td>\n",
       "      <td>-0.324006</td>\n",
       "      <td>0.116385</td>\n",
       "      <td>-0.202725</td>\n",
       "      <td>-0.410083</td>\n",
       "      <td>0.161215</td>\n",
       "      <td>0.281768</td>\n",
       "      <td>0.305953</td>\n",
       "      <td>263</td>\n",
       "      <td>263</td>\n",
       "      <td>256</td>\n",
       "      <td>7</td>\n",
       "      <td>5.915886</td>\n",
       "      <td>407.32703</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>240.503920</td>\n",
       "      <td>1.416565</td>\n",
       "      <td>0.007513</td>\n",
       "      <td>-0.033495</td>\n",
       "      <td>30</td>\n",
       "      <td>17</td>\n",
       "      <td>0.043891</td>\n",
       "      <td>0</td>\n",
       "      <td>38</td>\n",
       "      <td>False</td>\n",
       "      <td>316</td>\n",
       "      <td>4.448068e+06</td>\n",
       "      <td>3.403234e+04</td>\n",
       "      <td>130.701200</td>\n",
       "      <td>9.067937</td>\n",
       "      <td>35</td>\n",
       "      <td>1.402384e+06</td>\n",
       "      <td>4.036617e+04</td>\n",
       "      <td>34.741560</td>\n",
       "      <td>9.984221</td>\n",
       "      <td>35</td>\n",
       "      <td>4.487365e+06</td>\n",
       "      <td>8.700720e+04</td>\n",
       "      <td>51.574635</td>\n",
       "      <td>8.131942</td>\n",
       "      <td>1.324114</td>\n",
       "      <td>0</td>\n",
       "      <td>1.852280</td>\n",
       "      <td>0.916285</td>\n",
       "      <td>0.935995</td>\n",
       "      <td>7.462246</td>\n",
       "      <td>4.585498</td>\n",
       "      <td>3</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>300.911857</td>\n",
       "      <td>-0.705740</td>\n",
       "      <td>223.254194</td>\n",
       "      <td>-52.695988</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4555.3700</td>\n",
       "      <td>3995.8625</td>\n",
       "      <td>5880.0000</td>\n",
       "      <td>0.6425</td>\n",
       "      <td>0.2885</td>\n",
       "      <td>1.9610</td>\n",
       "      <td>0.3360</td>\n",
       "      <td>0.1539</td>\n",
       "      <td>0.8763</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>171</td>\n",
       "      <td>VW Cru</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7214</td>\n",
       "      <td>6.805</td>\n",
       "      <td>6.261</td>\n",
       "      <td>6.051</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.51</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7370</td>\n",
       "      <td>447</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>188.32783</td>\n",
       "      <td>-63.50638</td>\n",
       "      <td>0.136666</td>\n",
       "      <td>V* VW Cru</td>\n",
       "      <td>188.327786</td>\n",
       "      <td>-63.506364</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>46</td>\n",
       "      <td>12 33 18.66854</td>\n",
       "      <td>-63 30 22.9108</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>Em*|V* |cC*|*  |IR</td>\n",
       "      <td>7.460</td>\n",
       "      <td>NaN</td>\n",
       "      <td>K0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.7832</td>\n",
       "      <td>-3.88</td>\n",
       "      <td>-1.29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.100</td>\n",
       "      <td>9.870</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.916</td>\n",
       "      <td>6.349</td>\n",
       "      <td>6.131</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.063397</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>6053622679932061056</td>\n",
       "      <td>5.265672</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1687.000456</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>1686.959992</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>1687.003254</td>\n",
       "      <td>0.000036</td>\n",
       "      <td>9.014389</td>\n",
       "      <td>0.000255</td>\n",
       "      <td>9.908496</td>\n",
       "      <td>0.000445</td>\n",
       "      <td>8.118739</td>\n",
       "      <td>0.001885</td>\n",
       "      <td>0.492258</td>\n",
       "      <td>0.000854</td>\n",
       "      <td>0.621749</td>\n",
       "      <td>0.001954</td>\n",
       "      <td>0.370093</td>\n",
       "      <td>0.008646</td>\n",
       "      <td>0.100184</td>\n",
       "      <td>0.233893</td>\n",
       "      <td>0.377767</td>\n",
       "      <td>0.002256</td>\n",
       "      <td>0.117018</td>\n",
       "      <td>0.001032</td>\n",
       "      <td>4.593634</td>\n",
       "      <td>0.004175</td>\n",
       "      <td>2.514997</td>\n",
       "      <td>0.020462</td>\n",
       "      <td>36</td>\n",
       "      <td>32</td>\n",
       "      <td>32</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>276</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 6054829806275577216</td>\n",
       "      <td>6054829806275577216</td>\n",
       "      <td>1625467568</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>185.337933</td>\n",
       "      <td>0.021635</td>\n",
       "      <td>-62.281635</td>\n",
       "      <td>0.023077</td>\n",
       "      <td>1.139748</td>\n",
       "      <td>0.027632</td>\n",
       "      <td>41.247375</td>\n",
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       "      <td>-0.516382</td>\n",
       "      <td>0.119644</td>\n",
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       "      <td>0.165450</td>\n",
       "      <td>347</td>\n",
       "      <td>347</td>\n",
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       "      <td>False</td>\n",
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       "      <td>3.467826e+05</td>\n",
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       "      <td>2.258104e+07</td>\n",
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       "      <td>46.700123</td>\n",
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       "      <td>3.987361e+07</td>\n",
       "      <td>6.384179e+05</td>\n",
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       "      <td>VARIABLE</td>\n",
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       "      <td>100001.0</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>52.639687</td>\n",
       "      <td>39.323498</td>\n",
       "      <td>62.081467</td>\n",
       "      <td>1734.382100</td>\n",
       "      <td>1664.10770</td>\n",
       "      <td>1804.656500</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>170</td>\n",
       "      <td>T Cru</td>\n",
       "      <td>DCEP</td>\n",
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       "      <td>4.941</td>\n",
       "      <td>4.541</td>\n",
       "      <td>4.407</td>\n",
       "      <td>0.14</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>9.37</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7599</td>\n",
       "      <td>450</td>\n",
       "      <td>b|</td>\n",
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       "      <td>185.33804</td>\n",
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       "      <td>0.180694</td>\n",
       "      <td>V* T Cru</td>\n",
       "      <td>185.338033</td>\n",
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       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>126</td>\n",
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       "      <td>-62 16 53.8763</td>\n",
       "      <td>deltaCep</td>\n",
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       "      <td>G2Ib</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.420</td>\n",
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       "      <td>0.169056</td>\n",
       "      <td>369295549951641967</td>\n",
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       "      <td>DCEP</td>\n",
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       "      <td>FUNDAMENTAL</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>277</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 6055722403534963840</td>\n",
       "      <td>6055722403534963840</td>\n",
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       "      <td>398</td>\n",
       "      <td>2.923577e+06</td>\n",
       "      <td>1.755737e+04</td>\n",
       "      <td>166.515690</td>\n",
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       "      <td>100001.0</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>146</td>\n",
       "      <td>V496 Cen</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
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       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>278</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 6057514092119497472</td>\n",
       "      <td>6057514092119497472</td>\n",
       "      <td>810821989</td>\n",
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       "      <td>0.215659</td>\n",
       "      <td>0.219702</td>\n",
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       "      <td>231</td>\n",
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       "      <td>31</td>\n",
       "      <td>True</td>\n",
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       "      <td>0.007353</td>\n",
       "      <td>-0.033770</td>\n",
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       "      <td>14</td>\n",
       "      <td>0.039765</td>\n",
       "      <td>0</td>\n",
       "      <td>29</td>\n",
       "      <td>True</td>\n",
       "      <td>246</td>\n",
       "      <td>1.050223e+06</td>\n",
       "      <td>9.861354e+03</td>\n",
       "      <td>106.498890</td>\n",
       "      <td>10.635161</td>\n",
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       "      <td>3.285648e+05</td>\n",
       "      <td>1.108811e+04</td>\n",
       "      <td>29.632166</td>\n",
       "      <td>11.559835</td>\n",
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       "      <td>2.926586e+04</td>\n",
       "      <td>36.917070</td>\n",
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       "      <td>100001.0</td>\n",
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       "      <td>67.231895</td>\n",
       "      <td>70.421455</td>\n",
       "      <td>927.704160</td>\n",
       "      <td>747.69810</td>\n",
       "      <td>1107.710200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>165</td>\n",
       "      <td>AD Cru</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.8060</td>\n",
       "      <td>8.198</td>\n",
       "      <td>7.661</td>\n",
       "      <td>7.387</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.10</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7075</td>\n",
       "      <td>427</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>183.24861</td>\n",
       "      <td>-62.09682</td>\n",
       "      <td>0.075335</td>\n",
       "      <td>V* AD Cru</td>\n",
       "      <td>183.248615</td>\n",
       "      <td>-62.096826</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>50</td>\n",
       "      <td>12 12 59.66764</td>\n",
       "      <td>-62 05 48.5719</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|*  |IR</td>\n",
       "      <td>-20.470</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.2909</td>\n",
       "      <td>-5.35</td>\n",
       "      <td>0.45</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.190</td>\n",
       "      <td>11.070</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.104</td>\n",
       "      <td>7.632</td>\n",
       "      <td>7.365</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.083221</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>6057514092119497472</td>\n",
       "      <td>6.397262</td>\n",
       "      <td>0.000075</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1760.579816</td>\n",
       "      <td>0.000106</td>\n",
       "      <td>1760.595384</td>\n",
       "      <td>0.000106</td>\n",
       "      <td>1760.928405</td>\n",
       "      <td>0.000106</td>\n",
       "      <td>10.471354</td>\n",
       "      <td>0.000538</td>\n",
       "      <td>11.360812</td>\n",
       "      <td>0.002064</td>\n",
       "      <td>9.601401</td>\n",
       "      <td>0.000340</td>\n",
       "      <td>0.629323</td>\n",
       "      <td>0.002373</td>\n",
       "      <td>0.736975</td>\n",
       "      <td>0.008376</td>\n",
       "      <td>0.413873</td>\n",
       "      <td>0.001144</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.420270</td>\n",
       "      <td>0.001645</td>\n",
       "      <td>0.100957</td>\n",
       "      <td>0.001488</td>\n",
       "      <td>4.538660</td>\n",
       "      <td>0.007109</td>\n",
       "      <td>2.282432</td>\n",
       "      <td>0.018595</td>\n",
       "      <td>26</td>\n",
       "      <td>23</td>\n",
       "      <td>24</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>279</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 6058439910929477120</td>\n",
       "      <td>6058439910929477120</td>\n",
       "      <td>960041533</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>187.917935</td>\n",
       "      <td>0.060227</td>\n",
       "      <td>-59.423941</td>\n",
       "      <td>0.062406</td>\n",
       "      <td>1.777744</td>\n",
       "      <td>0.087312</td>\n",
       "      <td>20.360730</td>\n",
       "      <td>-12.688842</td>\n",
       "      <td>0.117405</td>\n",
       "      <td>-4.109973</td>\n",
       "      <td>0.112670</td>\n",
       "      <td>0.190097</td>\n",
       "      <td>-0.152340</td>\n",
       "      <td>-0.332379</td>\n",
       "      <td>-0.042516</td>\n",
       "      <td>-0.165625</td>\n",
       "      <td>-0.025774</td>\n",
       "      <td>-0.196440</td>\n",
       "      <td>0.191400</td>\n",
       "      <td>0.237809</td>\n",
       "      <td>0.233724</td>\n",
       "      <td>416</td>\n",
       "      <td>416</td>\n",
       "      <td>377</td>\n",
       "      <td>39</td>\n",
       "      <td>57.255010</td>\n",
       "      <td>5134.70850</td>\n",
       "      <td>0.430414</td>\n",
       "      <td>7.794576e+01</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>4.902711</td>\n",
       "      <td>1.625055</td>\n",
       "      <td>0.014182</td>\n",
       "      <td>-0.083629</td>\n",
       "      <td>49</td>\n",
       "      <td>18</td>\n",
       "      <td>0.071013</td>\n",
       "      <td>0</td>\n",
       "      <td>62</td>\n",
       "      <td>True</td>\n",
       "      <td>438</td>\n",
       "      <td>1.504904e+08</td>\n",
       "      <td>5.623183e+05</td>\n",
       "      <td>267.624970</td>\n",
       "      <td>5.244594</td>\n",
       "      <td>43</td>\n",
       "      <td>7.773563e+07</td>\n",
       "      <td>8.888868e+05</td>\n",
       "      <td>87.452790</td>\n",
       "      <td>5.624838</td>\n",
       "      <td>42</td>\n",
       "      <td>9.745444e+07</td>\n",
       "      <td>5.103934e+05</td>\n",
       "      <td>190.939820</td>\n",
       "      <td>4.789916</td>\n",
       "      <td>1.164128</td>\n",
       "      <td>0</td>\n",
       "      <td>0.834922</td>\n",
       "      <td>0.380244</td>\n",
       "      <td>0.454678</td>\n",
       "      <td>-22.694182</td>\n",
       "      <td>0.913685</td>\n",
       "      <td>18</td>\n",
       "      <td>6250.0</td>\n",
       "      <td>2.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>300.416253</td>\n",
       "      <td>3.351227</td>\n",
       "      <td>218.914994</td>\n",
       "      <td>-49.644100</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>6044.0000</td>\n",
       "      <td>5838.5000</td>\n",
       "      <td>6309.0000</td>\n",
       "      <td>1.2997</td>\n",
       "      <td>0.8126</td>\n",
       "      <td>1.9580</td>\n",
       "      <td>0.6910</td>\n",
       "      <td>0.4053</td>\n",
       "      <td>0.9550</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>39.303290</td>\n",
       "      <td>36.070880</td>\n",
       "      <td>42.118730</td>\n",
       "      <td>1857.164300</td>\n",
       "      <td>1745.09530</td>\n",
       "      <td>1969.233300</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>167</td>\n",
       "      <td>BG Cru</td>\n",
       "      <td>DCEPS</td>\n",
       "      <td>0.5241</td>\n",
       "      <td>4.237</td>\n",
       "      <td>3.975</td>\n",
       "      <td>3.878</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>-0.11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.68</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7678</td>\n",
       "      <td>451</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>187.91804</td>\n",
       "      <td>-59.42392</td>\n",
       "      <td>0.206532</td>\n",
       "      <td>*  35 Cru</td>\n",
       "      <td>187.918042</td>\n",
       "      <td>-59.423923</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>114</td>\n",
       "      <td>12 31 40.33011</td>\n",
       "      <td>-59 25 26.1224</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>-22.690</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7Ib/II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.7777</td>\n",
       "      <td>-12.69</td>\n",
       "      <td>-4.11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.190</td>\n",
       "      <td>5.530</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.159</td>\n",
       "      <td>3.839</td>\n",
       "      <td>3.862</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.206737</td>\n",
       "      <td>369295551293819386</td>\n",
       "      <td>6058439910929477120</td>\n",
       "      <td>3.342477</td>\n",
       "      <td>0.000136</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1768.856699</td>\n",
       "      <td>0.000192</td>\n",
       "      <td>1691.844231</td>\n",
       "      <td>0.000192</td>\n",
       "      <td>1691.792309</td>\n",
       "      <td>0.000192</td>\n",
       "      <td>5.263669</td>\n",
       "      <td>0.009029</td>\n",
       "      <td>5.647538</td>\n",
       "      <td>0.001004</td>\n",
       "      <td>4.808581</td>\n",
       "      <td>0.001099</td>\n",
       "      <td>0.171710</td>\n",
       "      <td>0.029441</td>\n",
       "      <td>0.209270</td>\n",
       "      <td>0.002172</td>\n",
       "      <td>0.100241</td>\n",
       "      <td>0.003226</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>36</td>\n",
       "      <td>33</td>\n",
       "      <td>37</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>280</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 6059635702888301952</td>\n",
       "      <td>6059635702888301952</td>\n",
       "      <td>255378444</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>190.358420</td>\n",
       "      <td>0.024456</td>\n",
       "      <td>-59.794186</td>\n",
       "      <td>0.029130</td>\n",
       "      <td>0.620995</td>\n",
       "      <td>0.038395</td>\n",
       "      <td>16.173777</td>\n",
       "      <td>-4.360298</td>\n",
       "      <td>0.047163</td>\n",
       "      <td>-2.014414</td>\n",
       "      <td>0.050599</td>\n",
       "      <td>0.125267</td>\n",
       "      <td>-0.223051</td>\n",
       "      <td>-0.318687</td>\n",
       "      <td>-0.035147</td>\n",
       "      <td>-0.211705</td>\n",
       "      <td>-0.014210</td>\n",
       "      <td>-0.489433</td>\n",
       "      <td>0.248877</td>\n",
       "      <td>0.332267</td>\n",
       "      <td>0.271437</td>\n",
       "      <td>358</td>\n",
       "      <td>358</td>\n",
       "      <td>354</td>\n",
       "      <td>4</td>\n",
       "      <td>5.987528</td>\n",
       "      <td>531.40980</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>102.918396</td>\n",
       "      <td>1.570051</td>\n",
       "      <td>0.006572</td>\n",
       "      <td>0.070566</td>\n",
       "      <td>41</td>\n",
       "      <td>20</td>\n",
       "      <td>0.038340</td>\n",
       "      <td>0</td>\n",
       "      <td>44</td>\n",
       "      <td>False</td>\n",
       "      <td>383</td>\n",
       "      <td>1.111848e+07</td>\n",
       "      <td>1.289609e+05</td>\n",
       "      <td>86.215866</td>\n",
       "      <td>8.073253</td>\n",
       "      <td>43</td>\n",
       "      <td>5.030241e+06</td>\n",
       "      <td>2.239572e+05</td>\n",
       "      <td>22.460724</td>\n",
       "      <td>8.597416</td>\n",
       "      <td>42</td>\n",
       "      <td>8.090354e+06</td>\n",
       "      <td>2.247483e+05</td>\n",
       "      <td>35.997400</td>\n",
       "      <td>7.492001</td>\n",
       "      <td>1.180071</td>\n",
       "      <td>0</td>\n",
       "      <td>1.105415</td>\n",
       "      <td>0.524163</td>\n",
       "      <td>0.581252</td>\n",
       "      <td>-3.774091</td>\n",
       "      <td>3.563892</td>\n",
       "      <td>22</td>\n",
       "      <td>6750.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>301.672127</td>\n",
       "      <td>3.053090</td>\n",
       "      <td>220.771593</td>\n",
       "      <td>-49.193974</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>4977.9800</td>\n",
       "      <td>4940.0000</td>\n",
       "      <td>5016.6665</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>47.787037</td>\n",
       "      <td>47.052853</td>\n",
       "      <td>48.524662</td>\n",
       "      <td>1263.361200</td>\n",
       "      <td>1146.83100</td>\n",
       "      <td>1379.891400</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>166</td>\n",
       "      <td>AG Cru</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.5840</td>\n",
       "      <td>6.674</td>\n",
       "      <td>6.353</td>\n",
       "      <td>6.230</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.44</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7371</td>\n",
       "      <td>447</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>190.35825</td>\n",
       "      <td>-59.79412</td>\n",
       "      <td>0.388737</td>\n",
       "      <td>V* AG Cru</td>\n",
       "      <td>190.358457</td>\n",
       "      <td>-59.794178</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>104</td>\n",
       "      <td>12 41 26.02964</td>\n",
       "      <td>-59 47 39.0392</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-3.770</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F8Ib/II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.6210</td>\n",
       "      <td>-4.36</td>\n",
       "      <td>-2.01</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.050</td>\n",
       "      <td>8.265</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.629</td>\n",
       "      <td>6.368</td>\n",
       "      <td>6.256</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.074449</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>6059635702888301952</td>\n",
       "      <td>3.838340</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1691.295042</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1691.233562</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>1691.313921</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>7.991242</td>\n",
       "      <td>0.000104</td>\n",
       "      <td>8.430264</td>\n",
       "      <td>0.000184</td>\n",
       "      <td>7.415379</td>\n",
       "      <td>0.000202</td>\n",
       "      <td>0.692438</td>\n",
       "      <td>0.000456</td>\n",
       "      <td>0.899666</td>\n",
       "      <td>0.000670</td>\n",
       "      <td>0.573658</td>\n",
       "      <td>0.000833</td>\n",
       "      <td>0.240798</td>\n",
       "      <td>0.219747</td>\n",
       "      <td>0.319343</td>\n",
       "      <td>0.000898</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.022496</td>\n",
       "      <td>0.003307</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>42</td>\n",
       "      <td>41</td>\n",
       "      <td>42</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>281</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 6059764002146656128</td>\n",
       "      <td>6059764002146656128</td>\n",
       "      <td>1690092073</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>191.592780</td>\n",
       "      <td>0.029763</td>\n",
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       "      <td>0.030909</td>\n",
       "      <td>0.523545</td>\n",
       "      <td>0.045930</td>\n",
       "      <td>11.398756</td>\n",
       "      <td>-5.820501</td>\n",
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       "      <td>-0.520463</td>\n",
       "      <td>0.313371</td>\n",
       "      <td>0.416752</td>\n",
       "      <td>0.454377</td>\n",
       "      <td>315</td>\n",
       "      <td>315</td>\n",
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       "      <td>3</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
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       "      <td>1.550434</td>\n",
       "      <td>0.008149</td>\n",
       "      <td>0.034027</td>\n",
       "      <td>36</td>\n",
       "      <td>18</td>\n",
       "      <td>0.045139</td>\n",
       "      <td>0</td>\n",
       "      <td>47</td>\n",
       "      <td>False</td>\n",
       "      <td>385</td>\n",
       "      <td>1.067290e+07</td>\n",
       "      <td>7.814005e+04</td>\n",
       "      <td>136.586870</td>\n",
       "      <td>8.117660</td>\n",
       "      <td>43</td>\n",
       "      <td>4.601370e+06</td>\n",
       "      <td>1.349710e+05</td>\n",
       "      <td>34.091545</td>\n",
       "      <td>8.694170</td>\n",
       "      <td>43</td>\n",
       "      <td>8.717963e+06</td>\n",
       "      <td>1.463242e+05</td>\n",
       "      <td>59.579760</td>\n",
       "      <td>7.410882</td>\n",
       "      <td>1.247958</td>\n",
       "      <td>0</td>\n",
       "      <td>1.283287</td>\n",
       "      <td>0.576510</td>\n",
       "      <td>0.706777</td>\n",
       "      <td>-31.968746</td>\n",
       "      <td>2.960495</td>\n",
       "      <td>15</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.25</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>302.280538</td>\n",
       "      <td>3.740614</td>\n",
       "      <td>220.936875</td>\n",
       "      <td>-48.283113</td>\n",
       "      <td>100001.0</td>\n",
       "      <td>5325.3335</td>\n",
       "      <td>5070.5000</td>\n",
       "      <td>5948.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>200111.0</td>\n",
       "      <td>47.065514</td>\n",
       "      <td>37.727192</td>\n",
       "      <td>51.915237</td>\n",
       "      <td>1605.046300</td>\n",
       "      <td>1406.79930</td>\n",
       "      <td>1803.293200</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>172</td>\n",
       "      <td>X Cru</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.7938</td>\n",
       "      <td>6.521</td>\n",
       "      <td>6.125</td>\n",
       "      <td>5.935</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.12</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.76</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7283</td>\n",
       "      <td>446</td>\n",
       "      <td>c</td>\n",
       "      <td>LIII</td>\n",
       "      <td>191.59278</td>\n",
       "      <td>-59.12476</td>\n",
       "      <td>0.117598</td>\n",
       "      <td>V* X Cru</td>\n",
       "      <td>191.592829</td>\n",
       "      <td>-59.124726</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>71</td>\n",
       "      <td>12 46 22.27897</td>\n",
       "      <td>-59 07 29.0143</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-25.000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>G0/2Ib</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.5235</td>\n",
       "      <td>-5.82</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.970</td>\n",
       "      <td>8.100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.578</td>\n",
       "      <td>6.143</td>\n",
       "      <td>5.952</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.090312</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>6059764002146656128</td>\n",
       "      <td>6.220398</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1686.678358</td>\n",
       "      <td>0.000027</td>\n",
       "      <td>1686.629172</td>\n",
       "      <td>0.000027</td>\n",
       "      <td>1686.790105</td>\n",
       "      <td>0.000027</td>\n",
       "      <td>8.068369</td>\n",
       "      <td>0.000145</td>\n",
       "      <td>8.645024</td>\n",
       "      <td>0.000237</td>\n",
       "      <td>7.383290</td>\n",
       "      <td>0.000155</td>\n",
       "      <td>0.446316</td>\n",
       "      <td>0.000865</td>\n",
       "      <td>0.579628</td>\n",
       "      <td>0.000802</td>\n",
       "      <td>0.330433</td>\n",
       "      <td>0.000656</td>\n",
       "      <td>0.300051</td>\n",
       "      <td>0.233802</td>\n",
       "      <td>0.318540</td>\n",
       "      <td>0.001391</td>\n",
       "      <td>0.076587</td>\n",
       "      <td>0.001209</td>\n",
       "      <td>4.655622</td>\n",
       "      <td>0.006543</td>\n",
       "      <td>2.655414</td>\n",
       "      <td>0.020512</td>\n",
       "      <td>43</td>\n",
       "      <td>41</td>\n",
       "      <td>42</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>282</th>\n",
       "      <td>1635721458409799680</td>\n",
       "      <td>Gaia DR2 6060173364061645696</td>\n",
       "      <td>6060173364061645696</td>\n",
       "      <td>1361041338</td>\n",
       "      <td>2015.5</td>\n",
       "      <td>193.591577</td>\n",
       "      <td>0.029797</td>\n",
       "      <td>-58.430632</td>\n",
       "      <td>0.036430</td>\n",
       "      <td>1.021483</td>\n",
       "      <td>0.044819</td>\n",
       "      <td>22.791525</td>\n",
       "      <td>-9.480311</td>\n",
       "      <td>0.055045</td>\n",
       "      <td>-3.986843</td>\n",
       "      <td>0.060099</td>\n",
       "      <td>0.070831</td>\n",
       "      <td>-0.108017</td>\n",
       "      <td>-0.564343</td>\n",
       "      <td>-0.062909</td>\n",
       "      <td>-0.210847</td>\n",
       "      <td>-0.002640</td>\n",
       "      <td>-0.566472</td>\n",
       "      <td>0.035770</td>\n",
       "      <td>0.244581</td>\n",
       "      <td>0.321936</td>\n",
       "      <td>368</td>\n",
       "      <td>368</td>\n",
       "      <td>356</td>\n",
       "      <td>12</td>\n",
       "      <td>7.952664</td>\n",
       "      <td>605.72400</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.831189e+00</td>\n",
       "      <td>31</td>\n",
       "      <td>False</td>\n",
       "      <td>258.323150</td>\n",
       "      <td>1.579968</td>\n",
       "      <td>0.008338</td>\n",
       "      <td>-0.003536</td>\n",
       "      <td>43</td>\n",
       "      <td>16</td>\n",
       "      <td>0.044122</td>\n",
       "      <td>0</td>\n",
       "      <td>59</td>\n",
       "      <td>False</td>\n",
       "      <td>489</td>\n",
       "      <td>3.705151e+06</td>\n",
       "      <td>6.065083e+05</td>\n",
       "      <td>6.108986</td>\n",
       "      <td>9.266351</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.327235</td>\n",
       "      <td>2.932025</td>\n",
       "      <td>19</td>\n",
       "      <td>6000.0</td>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>VARIABLE</td>\n",
       "      <td>303.316341</td>\n",
       "      <td>4.438932</td>\n",
       "      <td>221.599419</td>\n",
       "      <td>-47.118520</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/datali...</td>\n",
       "      <td>http://geadata.esac.esa.int/data-server/data?R...</td>\n",
       "      <td>169</td>\n",
       "      <td>S Cru</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>0.6712</td>\n",
       "      <td>5.086</td>\n",
       "      <td>4.755</td>\n",
       "      <td>4.632</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.13</td>\n",
       "      <td>0.05</td>\n",
       "      <td>7593</td>\n",
       "      <td>451</td>\n",
       "      <td>b</td>\n",
       "      <td>LIII</td>\n",
       "      <td>193.59166</td>\n",
       "      <td>-58.43061</td>\n",
       "      <td>0.175273</td>\n",
       "      <td>V* S Cru</td>\n",
       "      <td>193.591655</td>\n",
       "      <td>-58.430615</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>90.0</td>\n",
       "      <td>160</td>\n",
       "      <td>12 54 21.99728</td>\n",
       "      <td>-58 25 50.2146</td>\n",
       "      <td>deltaCep</td>\n",
       "      <td>V* |cC*|IR |*</td>\n",
       "      <td>-6.100</td>\n",
       "      <td>NaN</td>\n",
       "      <td>F7Ib/II</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.0215</td>\n",
       "      <td>-9.48</td>\n",
       "      <td>-3.99</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.340</td>\n",
       "      <td>6.580</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.007</td>\n",
       "      <td>4.695</td>\n",
       "      <td>4.562</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.159410</td>\n",
       "      <td>369295549951641967</td>\n",
       "      <td>6060173364061645696</td>\n",
       "      <td>4.689715</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1724.146376</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>1686.619990</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>1686.705341</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>6.362666</td>\n",
       "      <td>0.000245</td>\n",
       "      <td>6.805267</td>\n",
       "      <td>0.000623</td>\n",
       "      <td>5.788154</td>\n",
       "      <td>0.000359</td>\n",
       "      <td>0.636294</td>\n",
       "      <td>0.000918</td>\n",
       "      <td>0.783717</td>\n",
       "      <td>0.001961</td>\n",
       "      <td>0.502649</td>\n",
       "      <td>0.001206</td>\n",
       "      <td>0.048097</td>\n",
       "      <td>0.224978</td>\n",
       "      <td>0.386336</td>\n",
       "      <td>0.000765</td>\n",
       "      <td>0.147813</td>\n",
       "      <td>0.000841</td>\n",
       "      <td>4.279729</td>\n",
       "      <td>0.003821</td>\n",
       "      <td>2.513532</td>\n",
       "      <td>0.004373</td>\n",
       "      <td>45</td>\n",
       "      <td>46</td>\n",
       "      <td>47</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           solution_id_1                   designation          source_id_1  \\\n",
       "0    1635721458409799680  Gaia DR2 3031875585286182144  3031875585286182144   \n",
       "1    1635721458409799680  Gaia DR2 3113441691460573312  3113441691460573312   \n",
       "2    1635721458409799680  Gaia DR2 3127458403130026112  3127458403130026112   \n",
       "3    1635721458409799680  Gaia DR2 3133819112256378368  3133819112256378368   \n",
       "4    1635721458409799680  Gaia DR2 3330259852538068608  3330259852538068608   \n",
       "5    1635721458409799680  Gaia DR2 3356119713188276096  3356119713188276096   \n",
       "6    1635721458409799680  Gaia DR2 3378049163365268608  3378049163365268608   \n",
       "7    1635721458409799680  Gaia DR2 4056026175045038464  4056026175045038464   \n",
       "8    1635721458409799680  Gaia DR2 4094784475310672128  4094784475310672128   \n",
       "9    1635721458409799680  Gaia DR2 4096979650282842112  4096979650282842112   \n",
       "10   1635721458409799680  Gaia DR2 4253435825622331392  4253435825622331392   \n",
       "11   1635721458409799680  Gaia DR2 5596601154188852352  5596601154188852352   \n",
       "12   1635721458409799680  Gaia DR2 5597327141100381568  5597327141100381568   \n",
       "13   1635721458409799680  Gaia DR2 5597379741549105280  5597379741549105280   \n",
       "14   1635721458409799680  Gaia DR2 5600052040150252800  5600052040150252800   \n",
       "15   1635721458409799680  Gaia DR2 5600915775257809152  5600915775257809152   \n",
       "16   1635721458409799680  Gaia DR2 5613165915335320192  5613165915335320192   \n",
       "17   1635721458409799680  Gaia DR2 5613564621430610560  5613564621430610560   \n",
       "18   1635721458409799680  Gaia DR2 5618354751226656640  5618354751226656640   \n",
       "19   1635721458409799680  Gaia DR2 5620400182140135168  5620400182140135168   \n",
       "20   1635721458409799680  Gaia DR2 5715183929918131968  5715183929918131968   \n",
       "21   1635721458409799680  Gaia DR2 5884729035255064064  5884729035255064064   \n",
       "22   1635721458409799680  Gaia DR2 5932565900081831040  5932565900081831040   \n",
       "23   1635721458409799680  Gaia DR2 5937099633141128448  5937099633141128448   \n",
       "24   1635721458409799680  Gaia DR2 5964193485048327808  5964193485048327808   \n",
       "25   1635721458409799680   Gaia DR2 174489098011145216   174489098011145216   \n",
       "26   1635721458409799680   Gaia DR2 188724234539584256   188724234539584256   \n",
       "27   1635721458409799680   Gaia DR2 189726984845700480   189726984845700480   \n",
       "28   1635721458409799680   Gaia DR2 189739251272296192   189739251272296192   \n",
       "29   1635721458409799680   Gaia DR2 197337185858157440   197337185858157440   \n",
       "30   1635721458409799680   Gaia DR2 198681686717279616   198681686717279616   \n",
       "31   1635721458409799680   Gaia DR2 200016111582079744   200016111582079744   \n",
       "32   1635721458409799680   Gaia DR2 200708636406382720   200708636406382720   \n",
       "33   1635721458409799680   Gaia DR2 201574982848108416   201574982848108416   \n",
       "34   1635721458409799680   Gaia DR2 202939854734748032   202939854734748032   \n",
       "35   1635721458409799680   Gaia DR2 203496585576324224   203496585576324224   \n",
       "36   1635721458409799680   Gaia DR2 206577210999441536   206577210999441536   \n",
       "37   1635721458409799680   Gaia DR2 228741784865956224   228741784865956224   \n",
       "38   1635721458409799680   Gaia DR2 261548119462093568   261548119462093568   \n",
       "39   1635721458409799680   Gaia DR2 270272675510149504   270272675510149504   \n",
       "40   1635721458409799680   Gaia DR2 272444829450300160   272444829450300160   \n",
       "41   1635721458409799680   Gaia DR2 279382060625871360   279382060625871360   \n",
       "42   1635721458409799680   Gaia DR2 394818721274314112   394818721274314112   \n",
       "43   1635721458409799680   Gaia DR2 422226488141991296   422226488141991296   \n",
       "44   1635721458409799680   Gaia DR2 422923956470923008   422923956470923008   \n",
       "45   1635721458409799680   Gaia DR2 423454573911964544   423454573911964544   \n",
       "46   1635721458409799680   Gaia DR2 425324052915862912   425324052915862912   \n",
       "47   1635721458409799680   Gaia DR2 426881614218441600   426881614218441600   \n",
       "48   1635721458409799680   Gaia DR2 428620663657823232   428620663657823232   \n",
       "49   1635721458409799680   Gaia DR2 428839329030983040   428839329030983040   \n",
       "50   1635721458409799680   Gaia DR2 429385923752386944   429385923752386944   \n",
       "51   1635721458409799680   Gaia DR2 429544700100302080   429544700100302080   \n",
       "52   1635721458409799680   Gaia DR2 429562773322439296   429562773322439296   \n",
       "53   1635721458409799680   Gaia DR2 429890595286480384   429890595286480384   \n",
       "54   1635721458409799680   Gaia DR2 430647231080076416   430647231080076416   \n",
       "55   1635721458409799680   Gaia DR2 430670222050230912   430670222050230912   \n",
       "56   1635721458409799680   Gaia DR2 430766016998901376   430766016998901376   \n",
       "57   1635721458409799680   Gaia DR2 457807268533229056   457807268533229056   \n",
       "58   1635721458409799680   Gaia DR2 458239995077788544   458239995077788544   \n",
       "59   1635721458409799680   Gaia DR2 459035766618689280   459035766618689280   \n",
       "60   1635721458409799680   Gaia DR2 459263743483634304   459263743483634304   \n",
       "61   1635721458409799680   Gaia DR2 462252662762965120   462252662762965120   \n",
       "62   1635721458409799680   Gaia DR2 462407693902385792   462407693902385792   \n",
       "63   1635721458409799680   Gaia DR2 465719182408723072   465719182408723072   \n",
       "64   1635721458409799680   Gaia DR2 467560314629168640   467560314629168640   \n",
       "65   1635721458409799680   Gaia DR2 470361114339849472   470361114339849472   \n",
       "66   1635721458409799680   Gaia DR2 470386952863752576   470386952863752576   \n",
       "67   1635721458409799680   Gaia DR2 473043922712140928   473043922712140928   \n",
       "68   1635721458409799680   Gaia DR2 473293889810320128   473293889810320128   \n",
       "69   1635721458409799680   Gaia DR2 486834100624652800   486834100624652800   \n",
       "70   1635721458409799680   Gaia DR2 505178760644698880   505178760644698880   \n",
       "71   1635721458409799680   Gaia DR2 506581226385580288   506581226385580288   \n",
       "72   1635721458409799680   Gaia DR2 506602976101284736   506602976101284736   \n",
       "73   1635721458409799680   Gaia DR2 506699870563323264   506699870563323264   \n",
       "74   1635721458409799680   Gaia DR2 506779550797525760   506779550797525760   \n",
       "75   1635721458409799680   Gaia DR2 506923449381427968   506923449381427968   \n",
       "76   1635721458409799680   Gaia DR2 508915489570374272   508915489570374272   \n",
       "77   1635721458409799680   Gaia DR2 510584788742165760   510584788742165760   \n",
       "78   1635721458409799680   Gaia DR2 511226491206912128   511226491206912128   \n",
       "79   1635721458409799680   Gaia DR2 512524361613040640   512524361613040640   \n",
       "80   1635721458409799680   Gaia DR2 513074186146353536   513074186146353536   \n",
       "81   1635721458409799680   Gaia DR2 514674933331699584   514674933331699584   \n",
       "82   1635721458409799680   Gaia DR2 515599111517099136   515599111517099136   \n",
       "83   1635721458409799680   Gaia DR2 522468168674975616   522468168674975616   \n",
       "84   1635721458409799680   Gaia DR2 523887951723531648   523887951723531648   \n",
       "85   1635721458409799680   Gaia DR2 525136962570940160   525136962570940160   \n",
       "86   1635721458409799680  Gaia DR2 1750217486861133440  1750217486861133440   \n",
       "87   1635721458409799680  Gaia DR2 1808020329279916288  1808020329279916288   \n",
       "88   1635721458409799680  Gaia DR2 1820309639468685824  1820309639468685824   \n",
       "89   1635721458409799680  Gaia DR2 1825621002188696448  1825621002188696448   \n",
       "90   1635721458409799680  Gaia DR2 1853025642297186688  1853025642297186688   \n",
       "91   1635721458409799680  Gaia DR2 1857884212378132096  1857884212378132096   \n",
       "92   1635721458409799680  Gaia DR2 1870258975238302208  1870258975238302208   \n",
       "93   1635721458409799680  Gaia DR2 1873112207907294848  1873112207907294848   \n",
       "94   1635721458409799680  Gaia DR2 1873250780732545920  1873250780732545920   \n",
       "95   1635721458409799680  Gaia DR2 1960750328384177408  1960750328384177408   \n",
       "96   1635721458409799680  Gaia DR2 1960981328902089088  1960981328902089088   \n",
       "97   1635721458409799680  Gaia DR2 1964855904803120640  1964855904803120640   \n",
       "98   1635721458409799680  Gaia DR2 1968971582984827136  1968971582984827136   \n",
       "99   1635721458409799680  Gaia DR2 1971722045688053248  1971722045688053248   \n",
       "100  1635721458409799680  Gaia DR2 1977074811892425600  1977074811892425600   \n",
       "101  1635721458409799680  Gaia DR2 1981006115714214912  1981006115714214912   \n",
       "102  1635721458409799680  Gaia DR2 1998384927774603520  1998384927774603520   \n",
       "103  1635721458409799680  Gaia DR2 1999252442448732288  1999252442448732288   \n",
       "104  1635721458409799680  Gaia DR2 2002637323358768000  2002637323358768000   \n",
       "105  1635721458409799680  Gaia DR2 2003938801532007808  2003938801532007808   \n",
       "106  1635721458409799680  Gaia DR2 2004036486267748352  2004036486267748352   \n",
       "107  1635721458409799680  Gaia DR2 2005011237689458688  2005011237689458688   \n",
       "108  1635721458409799680  Gaia DR2 2006989121667184384  2006989121667184384   \n",
       "109  1635721458409799680  Gaia DR2 2007201567928631296  2007201567928631296   \n",
       "110  1635721458409799680  Gaia DR2 2007997408188526336  2007997408188526336   \n",
       "111  1635721458409799680  Gaia DR2 2008504454839717120  2008504454839717120   \n",
       "112  1635721458409799680  Gaia DR2 2010134274671099264  2010134274671099264   \n",
       "113  1635721458409799680  Gaia DR2 2010285491880986112  2010285491880986112   \n",
       "114  1635721458409799680  Gaia DR2 2011315528113463808  2011315528113463808   \n",
       "115  1635721458409799680  Gaia DR2 2011892703004353792  2011892703004353792   \n",
       "116  1635721458409799680  Gaia DR2 2012787293154800896  2012787293154800896   \n",
       "117  1635721458409799680  Gaia DR2 2013029941628292352  2013029941628292352   \n",
       "118  1635721458409799680  Gaia DR2 2014609252631258496  2014609252631258496   \n",
       "119  1635721458409799680  Gaia DR2 2015458213056909184  2015458213056909184   \n",
       "120  1635721458409799680  Gaia DR2 2015622212085282048  2015622212085282048   \n",
       "121  1635721458409799680  Gaia DR2 2015820463470505600  2015820463470505600   \n",
       "122  1635721458409799680  Gaia DR2 2016028168089215488  2016028168089215488   \n",
       "123  1635721458409799680  Gaia DR2 2016581673416790656  2016581673416790656   \n",
       "124  1635721458409799680  Gaia DR2 2016626856473497344  2016626856473497344   \n",
       "125  1635721458409799680  Gaia DR2 2027263738130844288  2027263738130844288   \n",
       "126  1635721458409799680  Gaia DR2 2027951173435143680  2027951173435143680   \n",
       "127  1635721458409799680  Gaia DR2 2030063919381336832  2030063919381336832   \n",
       "128  1635721458409799680  Gaia DR2 2030427789026783488  2030427789026783488   \n",
       "129  1635721458409799680  Gaia DR2 2030848897634605440  2030848897634605440   \n",
       "130  1635721458409799680  Gaia DR2 2031776202613700480  2031776202613700480   \n",
       "131  1635721458409799680  Gaia DR2 2033008274099620480  2033008274099620480   \n",
       "132  1635721458409799680  Gaia DR2 2034428980559814400  2034428980559814400   \n",
       "133  1635721458409799680  Gaia DR2 2034684200359279488  2034684200359279488   \n",
       "134  1635721458409799680  Gaia DR2 2045359534871088384  2045359534871088384   \n",
       "135  1635721458409799680  Gaia DR2 2055014277739104896  2055014277739104896   \n",
       "136  1635721458409799680  Gaia DR2 2055122987639665664  2055122987639665664   \n",
       "137  1635721458409799680  Gaia DR2 2058374144759464064  2058374144759464064   \n",
       "138  1635721458409799680  Gaia DR2 2059598687167348352  2059598687167348352   \n",
       "139  1635721458409799680  Gaia DR2 2060021625508894592  2060021625508894592   \n",
       "140  1635721458409799680  Gaia DR2 2060460704279873536  2060460704279873536   \n",
       "141  1635721458409799680  Gaia DR2 2070224337474904064  2070224337474904064   \n",
       "142  1635721458409799680  Gaia DR2 2071433765909167232  2071433765909167232   \n",
       "143  1635721458409799680  Gaia DR2 2073935223599391872  2073935223599391872   \n",
       "144  1635721458409799680  Gaia DR2 2078709577944648192  2078709577944648192   \n",
       "145  1635721458409799680  Gaia DR2 2161786374436607616  2161786374436607616   \n",
       "146  1635721458409799680  Gaia DR2 2164359918864249728  2164359918864249728   \n",
       "147  1635721458409799680  Gaia DR2 2165771172070496512  2165771172070496512   \n",
       "148  1635721458409799680  Gaia DR2 2166303099490547072  2166303099490547072   \n",
       "149  1635721458409799680  Gaia DR2 2166861170366710272  2166861170366710272   \n",
       "150  1635721458409799680  Gaia DR2 2198162651491732608  2198162651491732608   \n",
       "151  1635721458409799680  Gaia DR2 2200018111723748224  2200018111723748224   \n",
       "152  1635721458409799680  Gaia DR2 2203988169026743936  2203988169026743936   \n",
       "153  1635721458409799680  Gaia DR2 2932101334643047680  2932101334643047680   \n",
       "154  1635721458409799680  Gaia DR2 3027940437469882880  3027940437469882880   \n",
       "155  1635721458409799680  Gaia DR2 3046774762417915136  3046774762417915136   \n",
       "156  1635721458409799680  Gaia DR2 3050050207554658048  3050050207554658048   \n",
       "157  1635721458409799680  Gaia DR2 3051144427784813824  3051144427784813824   \n",
       "158  1635721458409799680  Gaia DR2 3051692843568009600  3051692843568009600   \n",
       "159  1635721458409799680  Gaia DR2 3052092481686246016  3052092481686246016   \n",
       "160  1635721458409799680  Gaia DR2 3099066951319051008  3099066951319051008   \n",
       "161  1635721458409799680  Gaia DR2 3105345570728492416  3105345570728492416   \n",
       "162  1635721458409799680  Gaia DR2 3112550812164329856  3112550812164329856   \n",
       "163  1635721458409799680  Gaia DR2 3117307814859500416  3117307814859500416   \n",
       "164  1635721458409799680  Gaia DR2 3157950918582624256  3157950918582624256   \n",
       "165  1635721458409799680  Gaia DR2 3329849043206545920  3329849043206545920   \n",
       "166  1635721458409799680  Gaia DR2 3344297935963515008  3344297935963515008   \n",
       "167  1635721458409799680  Gaia DR2 3351921532976862336  3351921532976862336   \n",
       "168  1635721458409799680  Gaia DR2 3398383973788673024  3398383973788673024   \n",
       "169  1635721458409799680  Gaia DR2 3409635486731094400  3409635486731094400   \n",
       "170  1635721458409799680  Gaia DR2 3441484760885586176  3441484760885586176   \n",
       "171  1635721458409799680  Gaia DR2 3445039825569144192  3445039825569144192   \n",
       "172  1635721458409799680  Gaia DR2 3451987987438434944  3451987987438434944   \n",
       "173  1635721458409799680  Gaia DR2 4054440301294394624  4054440301294394624   \n",
       "174  1635721458409799680  Gaia DR2 4066429066901946368  4066429066901946368   \n",
       "175  1635721458409799680  Gaia DR2 4080122796947250176  4080122796947250176   \n",
       "176  1635721458409799680  Gaia DR2 4085919765884068736  4085919765884068736   \n",
       "177  1635721458409799680  Gaia DR2 4092905375639902464  4092905375639902464   \n",
       "178  1635721458409799680  Gaia DR2 4154536747505387648  4154536747505387648   \n",
       "179  1635721458409799680  Gaia DR2 4156450099578283776  4156450099578283776   \n",
       "180  1635721458409799680  Gaia DR2 4175017625462647168  4175017625462647168   \n",
       "181  1635721458409799680  Gaia DR2 4190143160245024256  4190143160245024256   \n",
       "182  1635721458409799680  Gaia DR2 4204653587029046400  4204653587029046400   \n",
       "183  1635721458409799680  Gaia DR2 4253603501158148736  4253603501158148736   \n",
       "184  1635721458409799680  Gaia DR2 4256744187345732224  4256744187345732224   \n",
       "185  1635721458409799680  Gaia DR2 4265371574109405824  4265371574109405824   \n",
       "186  1635721458409799680  Gaia DR2 4267397694768545920  4267397694768545920   \n",
       "187  1635721458409799680  Gaia DR2 4267549637851481344  4267549637851481344   \n",
       "188  1635721458409799680  Gaia DR2 4269036830424588800  4269036830424588800   \n",
       "189  1635721458409799680  Gaia DR2 4303770918113986304  4303770918113986304   \n",
       "190  1635721458409799680  Gaia DR2 4306046593639867776  4306046593639867776   \n",
       "191  1635721458409799680  Gaia DR2 4307944836090489600  4307944836090489600   \n",
       "192  1635721458409799680  Gaia DR2 4312361436842603520  4312361436842603520   \n",
       "193  1635721458409799680  Gaia DR2 4313179507891570304  4313179507891570304   \n",
       "194  1635721458409799680  Gaia DR2 4505300988492333312  4505300988492333312   \n",
       "195  1635721458409799680  Gaia DR2 4514145288240593408  4514145288240593408   \n",
       "196  1635721458409799680  Gaia DR2 5235910694044165760  5235910694044165760   \n",
       "197  1635721458409799680  Gaia DR2 5238808628736339584  5238808628736339584   \n",
       "198  1635721458409799680  Gaia DR2 5240441472232302848  5240441472232302848   \n",
       "199  1635721458409799680  Gaia DR2 5245796334347122944  5245796334347122944   \n",
       "200  1635721458409799680  Gaia DR2 5253795384546671104  5253795384546671104   \n",
       "201  1635721458409799680  Gaia DR2 5254070090673438592  5254070090673438592   \n",
       "202  1635721458409799680  Gaia DR2 5254097093074642944  5254097093074642944   \n",
       "203  1635721458409799680  Gaia DR2 5254295559276699392  5254295559276699392   \n",
       "204  1635721458409799680  Gaia DR2 5254662177677566464  5254662177677566464   \n",
       "205  1635721458409799680  Gaia DR2 5255066591776722432  5255066591776722432   \n",
       "206  1635721458409799680  Gaia DR2 5255220656517219840  5255220656517219840   \n",
       "207  1635721458409799680  Gaia DR2 5255254711361371520  5255254711361371520   \n",
       "208  1635721458409799680  Gaia DR2 5257664497238811776  5257664497238811776   \n",
       "209  1635721458409799680  Gaia DR2 5258574068220187648  5258574068220187648   \n",
       "210  1635721458409799680  Gaia DR2 5302258008774271488  5302258008774271488   \n",
       "211  1635721458409799680  Gaia DR2 5307761545524640256  5307761545524640256   \n",
       "212  1635721458409799680  Gaia DR2 5308893149150949248  5308893149150949248   \n",
       "213  1635721458409799680  Gaia DR2 5309174967720762496  5309174967720762496   \n",
       "214  1635721458409799680  Gaia DR2 5311598634949142400  5311598634949142400   \n",
       "215  1635721458409799680  Gaia DR2 5311616398935271168  5311616398935271168   \n",
       "216  1635721458409799680  Gaia DR2 5312196047720402048  5312196047720402048   \n",
       "217  1635721458409799680  Gaia DR2 5313887130948758016  5313887130948758016   \n",
       "218  1635721458409799680  Gaia DR2 5324034867356093056  5324034867356093056   \n",
       "219  1635721458409799680  Gaia DR2 5327836325732931840  5327836325732931840   \n",
       "220  1635721458409799680  Gaia DR2 5329838158460391296  5329838158460391296   \n",
       "221  1635721458409799680  Gaia DR2 5332375453374624640  5332375453374624640   \n",
       "222  1635721458409799680  Gaia DR2 5333259323269569792  5333259323269569792   \n",
       "223  1635721458409799680  Gaia DR2 5333340824575196800  5333340824575196800   \n",
       "224  1635721458409799680  Gaia DR2 5334449269746243328  5334449269746243328   \n",
       "225  1635721458409799680  Gaia DR2 5334506135119058304  5334506135119058304   \n",
       "226  1635721458409799680  Gaia DR2 5334591003669216000  5334591003669216000   \n",
       "227  1635721458409799680  Gaia DR2 5336389564126521728  5336389564126521728   \n",
       "228  1635721458409799680  Gaia DR2 5337191279923824384  5337191279923824384   \n",
       "229  1635721458409799680  Gaia DR2 5337634589276921856  5337634589276921856   \n",
       "230  1635721458409799680  Gaia DR2 5337764640889249536  5337764640889249536   \n",
       "231  1635721458409799680  Gaia DR2 5338024572321721216  5338024572321721216   \n",
       "232  1635721458409799680  Gaia DR2 5338036117182452096  5338036117182452096   \n",
       "233  1635721458409799680  Gaia DR2 5338207327417387520  5338207327417387520   \n",
       "234  1635721458409799680  Gaia DR2 5338359442320395904  5338359442320395904   \n",
       "235  1635721458409799680  Gaia DR2 5338438297925480320  5338438297925480320   \n",
       "236  1635721458409799680  Gaia DR2 5339394082770287232  5339394082770287232   \n",
       "237  1635721458409799680  Gaia DR2 5350852677538959104  5350852677538959104   \n",
       "238  1635721458409799680  Gaia DR2 5351161399785606016  5351161399785606016   \n",
       "239  1635721458409799680  Gaia DR2 5351331755370445056  5351331755370445056   \n",
       "240  1635721458409799680  Gaia DR2 5351428787262634624  5351428787262634624   \n",
       "241  1635721458409799680  Gaia DR2 5351721738384434048  5351721738384434048   \n",
       "242  1635721458409799680  Gaia DR2 5352181712213705856  5352181712213705856   \n",
       "243  1635721458409799680  Gaia DR2 5355057622305532928  5355057622305532928   \n",
       "244  1635721458409799680  Gaia DR2 5436296928693979392  5436296928693979392   \n",
       "245  1635721458409799680  Gaia DR2 5506374096132016512  5506374096132016512   \n",
       "246  1635721458409799680  Gaia DR2 5519196703818908800  5519196703818908800   \n",
       "247  1635721458409799680  Gaia DR2 5519380077440172672  5519380077440172672   \n",
       "248  1635721458409799680  Gaia DR2 5521459979795304320  5521459979795304320   \n",
       "249  1635721458409799680  Gaia DR2 5523162573544337408  5523162573544337408   \n",
       "250  1635721458409799680  Gaia DR2 5537860123428416640  5537860123428416640   \n",
       "251  1635721458409799680  Gaia DR2 5541507237862358912  5541507237862358912   \n",
       "252  1635721458409799680  Gaia DR2 5546476927338700416  5546476927338700416   \n",
       "253  1635721458409799680  Gaia DR2 5613541295473114496  5613541295473114496   \n",
       "254  1635721458409799680  Gaia DR2 5613972681993587200  5613972681993587200   \n",
       "255  1635721458409799680  Gaia DR2 5614312705966204288  5614312705966204288   \n",
       "256  1635721458409799680  Gaia DR2 5711201189563596416  5711201189563596416   \n",
       "257  1635721458409799680  Gaia DR2 5823134325151372032  5823134325151372032   \n",
       "258  1635721458409799680  Gaia DR2 5824226655600824704  5824226655600824704   \n",
       "259  1635721458409799680  Gaia DR2 5824464493705913472  5824464493705913472   \n",
       "260  1635721458409799680  Gaia DR2 5829232354047904256  5829232354047904256   \n",
       "261  1635721458409799680  Gaia DR2 5835124087174043136  5835124087174043136   \n",
       "262  1635721458409799680  Gaia DR2 5848500161483878400  5848500161483878400   \n",
       "263  1635721458409799680  Gaia DR2 5855468247702904704  5855468247702904704   \n",
       "264  1635721458409799680  Gaia DR2 5855852527008107008  5855852527008107008   \n",
       "265  1635721458409799680  Gaia DR2 5868451040512196224  5868451040512196224   \n",
       "266  1635721458409799680  Gaia DR2 5868480143187802240  5868480143187802240   \n",
       "267  1635721458409799680  Gaia DR2 5871738271033526016  5871738271033526016   \n",
       "268  1635721458409799680  Gaia DR2 5871922507947292032  5871922507947292032   \n",
       "269  1635721458409799680  Gaia DR2 5873984023533350400  5873984023533350400   \n",
       "270  1635721458409799680  Gaia DR2 5877460679352962048  5877460679352962048   \n",
       "271  1635721458409799680  Gaia DR2 5877533315817003648  5877533315817003648   \n",
       "272  1635721458409799680  Gaia DR2 5891675303053080704  5891675303053080704   \n",
       "273  1635721458409799680  Gaia DR2 5960623272099513856  5960623272099513856   \n",
       "274  1635721458409799680  Gaia DR2 6026412893938675712  6026412893938675712   \n",
       "275  1635721458409799680  Gaia DR2 6053622679932061056  6053622679932061056   \n",
       "276  1635721458409799680  Gaia DR2 6054829806275577216  6054829806275577216   \n",
       "277  1635721458409799680  Gaia DR2 6055722403534963840  6055722403534963840   \n",
       "278  1635721458409799680  Gaia DR2 6057514092119497472  6057514092119497472   \n",
       "279  1635721458409799680  Gaia DR2 6058439910929477120  6058439910929477120   \n",
       "280  1635721458409799680  Gaia DR2 6059635702888301952  6059635702888301952   \n",
       "281  1635721458409799680  Gaia DR2 6059764002146656128  6059764002146656128   \n",
       "282  1635721458409799680  Gaia DR2 6060173364061645696  6060173364061645696   \n",
       "\n",
       "     random_index  ref_epoch          ra  ra_error        dec  dec_error  \\\n",
       "0        13684566     2015.5  110.509905  0.033571 -14.318180   0.032630   \n",
       "1       951780446     2015.5  102.634733  0.033817   0.006999   0.033953   \n",
       "2       662643736     2015.5  101.789166  0.048785   3.967101   0.045231   \n",
       "3       525451306     2015.5  100.023257  0.055667   7.605835   0.054372   \n",
       "4      1022754344     2015.5   91.856108  0.044570  11.151976   0.042808   \n",
       "5      1199461480     2015.5   98.477542  0.044484  14.471379   0.037641   \n",
       "6      1650758151     2015.5  100.781296  0.045514  20.939106   0.048315   \n",
       "7       470182831     2015.5  267.156263  0.059436 -30.475968   0.051377   \n",
       "8       956473763     2015.5  274.248821  0.056500 -19.075831   0.060163   \n",
       "9      1302231798     2015.5  276.185419  0.049278 -16.797174   0.045807   \n",
       "10     1589775356     2015.5  280.738640  0.043136  -5.820912   0.042257   \n",
       "11     1689782959     2015.5  121.589471  0.018498 -30.096871   0.023163   \n",
       "12     1687022855     2015.5  119.746736  0.018461 -29.307863   0.021676   \n",
       "13       70679366     2015.5  119.592023  0.022383 -29.130083   0.026690   \n",
       "14      546853193     2015.5  114.646818  0.017000 -28.499601   0.023600   \n",
       "15      938449036     2015.5  119.425691  0.018990 -27.601892   0.024040   \n",
       "16     1376091236     2015.5  111.169126  0.017165 -26.188491   0.021992   \n",
       "17      888772371     2015.5  111.828684  0.019143 -25.785354   0.025030   \n",
       "18      469592602     2015.5  112.510630  0.009978 -23.673981   0.015163   \n",
       "19     1135421867     2015.5  112.954530  0.020333 -20.149657   0.025378   \n",
       "20      879437856     2015.5  115.478699  0.019623 -21.133058   0.023143   \n",
       "21     1145314701     2015.5  238.678374  0.027616 -54.566442   0.020606   \n",
       "22      149584825     2015.5  242.835263  0.033470 -54.354135   0.018536   \n",
       "23     1149846031     2015.5  251.329617  0.039278 -51.342638   0.028568   \n",
       "24     1688356617     2015.5  252.910606  0.041466 -45.426706   0.036751   \n",
       "25     1227568881     2015.5   71.942980  0.062798  36.722781   0.040311   \n",
       "26     1376879911     2015.5   78.841596  0.039358  40.078021   0.033615   \n",
       "27      383118584     2015.5   86.058334  0.041694  37.586869   0.036011   \n",
       "28     1261610147     2015.5   85.621913  0.045845  37.646333   0.037993   \n",
       "29      124505174     2015.5   84.111477  0.034495  44.591355   0.030153   \n",
       "30      212678588     2015.5   72.853535  0.029119  38.188551   0.022459   \n",
       "31     1598440665     2015.5   73.825480  0.032497  39.979716   0.023873   \n",
       "32      905451956     2015.5   75.346625  0.051200  39.960382   0.045017   \n",
       "33     1049115220     2015.5   74.923071  0.055218  40.836028   0.044839   \n",
       "34      926702299     2015.5   70.991173  0.049803  40.834779   0.044743   \n",
       "35     1035548707     2015.5   72.449766  0.248530  42.289705   0.199065   \n",
       "36      592923840     2015.5   74.417004  0.060246  46.092530   0.054962   \n",
       "37     1414684822     2015.5   64.275280  0.038072  41.731832   0.023671   \n",
       "38      159008226     2015.5   77.667624  0.036770  49.687603   0.033677   \n",
       "39      641250301     2015.5   64.945245  0.031683  48.953261   0.023316   \n",
       "40      722185364     2015.5   67.577922  0.025832  53.940176   0.021460   \n",
       "41     1216991330     2015.5   76.631879  0.028462  55.353515   0.023912   \n",
       "42      911684707     2015.5    6.581046  0.035455  51.280344   0.026314   \n",
       "43     1076246589     2015.5    3.617657  0.022974  56.252931   0.021650   \n",
       "44      962266286     2015.5    3.790869  0.023050  58.424281   0.020254   \n",
       "45      951860322     2015.5   14.333519  0.011270  55.438832   0.016155   \n",
       "46      969974352     2015.5   10.096641  0.014616  58.618521   0.014936   \n",
       "47      525037234     2015.5   12.471921  0.019833  60.127379   0.024704   \n",
       "48      260888044     2015.5    7.494097  0.026029  60.211957   0.026153   \n",
       "49      935554614     2015.5    6.649803  0.021567  60.798170   0.022790   \n",
       "50     1063909821     2015.5    0.246799  0.022300  60.959002   0.023021   \n",
       "51     1076025814     2015.5    4.260412  0.012296  60.802804   0.013751   \n",
       "52      604425917     2015.5    3.513432  0.018744  60.986264   0.018520   \n",
       "53      741737230     2015.5    0.674045  0.024967  61.861069   0.027246   \n",
       "54      521758899     2015.5    5.012798  0.025123  63.179789   0.024384   \n",
       "55     1632197622     2015.5    9.185444  0.019796  62.274237   0.019607   \n",
       "56     1687717180     2015.5    8.317473  0.027798  62.907260   0.025401   \n",
       "57      547561519     2015.5   38.469022  0.025325  57.027496   0.031747   \n",
       "58     1029146732     2015.5   38.630416  0.024730  58.831618   0.028222   \n",
       "59      650754747     2015.5   36.897761  0.023197  58.917151   0.029511   \n",
       "60     1306789030     2015.5   36.807364  0.025540  59.460601   0.032145   \n",
       "61     1571135469     2015.5   50.949512  0.025874  59.355669   0.022910   \n",
       "62      117619747     2015.5   52.358206  0.024857  60.446467   0.023639   \n",
       "63       88336856     2015.5   41.180476  0.023864  61.464699   0.023227   \n",
       "64      738877379     2015.5   41.464538  0.015958  63.304575   0.019444   \n",
       "65      914955959     2015.5   61.243593  0.034225  58.659781   0.025185   \n",
       "66     1295484018     2015.5   61.537363  0.030875  58.808745   0.023022   \n",
       "67      724402692     2015.5   58.590702  0.183128  58.653329   0.123241   \n",
       "68     1099278120     2015.5   57.106977  0.024019  59.442268   0.020856   \n",
       "69       65769671     2015.5   54.083947  0.021781  62.287227   0.020518   \n",
       "70       94915801     2015.5   31.259129  0.019525  57.142935   0.024805   \n",
       "71      754558903     2015.5   27.779246  0.019421  59.888215   0.028317   \n",
       "72      686154980     2015.5   26.761308  0.010915  59.606258   0.014363   \n",
       "73     1500770380     2015.5   33.281189  0.027137  58.079952   0.033576   \n",
       "74     1127769413     2015.5   31.952002  0.021261  58.443534   0.024652   \n",
       "75     1040304539     2015.5   32.693215  0.019600  59.253694   0.023471   \n",
       "76     1354006357     2015.5   24.308408  0.019152  57.759216   0.035252   \n",
       "77     1595962494     2015.5   19.005018  0.025961  61.620705   0.029314   \n",
       "78      909762255     2015.5   26.799653  0.021876  61.422489   0.024513   \n",
       "79      822013538     2015.5   23.180099  0.022149  63.593805   0.024824   \n",
       "80     1572340033     2015.5   24.749938  0.025300  64.989238   0.023366   \n",
       "81     1087753859     2015.5   32.621536  0.036564  63.297534   0.038775   \n",
       "82      334520593     2015.5   33.603151  0.017990  65.599448   0.020598   \n",
       "83      638719710     2015.5   18.171504  0.020135  61.213353   0.023385   \n",
       "84     1558436560     2015.5   11.624541  0.024032  63.543273   0.025799   \n",
       "85     1225924631     2015.5   18.754556  0.018490  65.599405   0.021748   \n",
       "86       53070142     2015.5  313.520264  0.028259   8.551535   0.025789   \n",
       "87     1195549303     2015.5  300.290903  0.022420  15.803502   0.019486   \n",
       "88     1003453313     2015.5  299.005264  0.059145  16.634764   0.053185   \n",
       "89     1249075385     2015.5  294.157205  0.024773  20.332932   0.032738   \n",
       "90      797957836     2015.5  316.626036  0.026999  31.184635   0.044835   \n",
       "91     1074180086     2015.5  312.867676  0.064366  28.250483   0.079372   \n",
       "92     1683892111     2015.5  310.850763  0.019117  35.587777   0.020563   \n",
       "93     1244572195     2015.5  316.069303  0.019890  39.972234   0.023850   \n",
       "94      983469567     2015.5  314.336780  0.018351  40.177487   0.025157   \n",
       "95       71985602     2015.5  327.922650  0.021611  43.134024   0.022815   \n",
       "96     1519227140     2015.5  330.104757  0.022131  43.445353   0.028315   \n",
       "97      120286284     2015.5  319.842426  0.044629  38.237465   0.057875   \n",
       "98      512048464     2015.5  318.668470  0.019827  41.716337   0.023578   \n",
       "99      181170998     2015.5  320.137064  0.024253  45.467490   0.028225   \n",
       "100     851115665     2015.5  332.262062  0.028416  51.045845   0.027917   \n",
       "101    1076810542     2015.5  327.398000  0.026121  52.395226   0.025628   \n",
       "102    1603903592     2015.5  359.111163  0.026366  58.026860   0.022367   \n",
       "103    1545533946     2015.5  358.029275  0.023707  58.741720   0.025711   \n",
       "104    1121409638     2015.5  343.657058  0.015334  54.265450   0.014770   \n",
       "105    1497426840     2015.5  342.158289  0.026590  56.321534   0.026849   \n",
       "106     938645367     2015.5  342.263228  0.028925  56.428197   0.031774   \n",
       "107      45624118     2015.5  335.319950  0.028987  54.532044   0.028252   \n",
       "108     318963330     2015.5  340.360496  0.026287  56.432773   0.027668   \n",
       "109     985779579     2015.5  340.217243  0.030454  56.829456   0.032796   \n",
       "110     787722127     2015.5  337.208674  0.025583  58.210933   0.026892   \n",
       "111     481789051     2015.5  341.603176  0.026653  59.442188   0.024009   \n",
       "112      73992385     2015.5  345.338007  0.023376  57.867017   0.020822   \n",
       "113    1652141964     2015.5  346.791983  0.028497  58.554192   0.023405   \n",
       "114     950085521     2015.5  354.701623  0.021128  59.391821   0.020621   \n",
       "115     411528130     2015.5  359.574871  0.022006  61.221054   0.025524   \n",
       "116     756302075     2015.5  358.602377  0.021654  62.149466   0.020536   \n",
       "117     443188929     2015.5  359.395650  0.025306  62.718241   0.021630   \n",
       "118     385954217     2015.5  342.096176  0.024792  60.404764   0.022076   \n",
       "119     102183908     2015.5  351.493623  0.023748  61.266833   0.019869   \n",
       "120     877370542     2015.5  354.863709  0.028579  62.372138   0.034615   \n",
       "121     148611096     2015.5  354.316906  0.028332  62.428989   0.029240   \n",
       "122    1289167455     2015.5  356.260926  0.024982  63.003846   0.023602   \n",
       "123     950491860     2015.5  350.618464  0.023139  62.757143   0.024183   \n",
       "124     147388255     2015.5  352.303145  0.023143  63.374296   0.019726   \n",
       "125     254991139     2015.5  299.369183  0.025018  26.556450   0.029555   \n",
       "126    1161240344     2015.5  297.878764  0.019261  27.460207   0.024925   \n",
       "127     457612760     2015.5  299.794977  0.021196  29.450724   0.028575   \n",
       "128     993490792     2015.5  299.454192  0.018037  30.265895   0.024721   \n",
       "129     144989287     2015.5  300.193141  0.019919  30.907590   0.030125   \n",
       "130     230379557     2015.5  296.203059  0.041193  29.264679   0.039622   \n",
       "131     603965029     2015.5  296.265343  0.018224  31.330774   0.026155   \n",
       "132    1522570994     2015.5  299.890444  0.020025  33.746035   0.025370   \n",
       "133    1441433908     2015.5  297.822008  0.015192  32.675530   0.020205   \n",
       "134    1602452412     2015.5  294.548251  0.020929  32.489550   0.024137   \n",
       "135     930719790     2015.5  303.095106  0.025849  32.871600   0.038724   \n",
       "136    1090090767     2015.5  301.336089  0.022954  32.659089   0.028225   \n",
       "137    1471063221     2015.5  301.110662  0.026118  34.112250   0.025665   \n",
       "138     747771428     2015.5  299.442064  0.020409  35.636048   0.024633   \n",
       "139      89085998     2015.5  302.282319  0.020166  37.151953   0.026258   \n",
       "140    1250803952     2015.5  304.197882  0.022678  36.549943   0.025108   \n",
       "141     973079153     2015.5  311.499127  0.023922  45.306935   0.027407   \n",
       "142    1315974940     2015.5  308.226211  0.021624  46.601250   0.026603   \n",
       "143     505335513     2015.5  300.894573  0.014595  39.159626   0.017721   \n",
       "144     595826290     2015.5  297.064434  0.018594  43.126918   0.023174   \n",
       "145     637453187     2015.5  315.026581  0.029151  42.597550   0.031458   \n",
       "146    1379313742     2015.5  316.944149  0.023355  46.736978   0.024635   \n",
       "147    1550360195     2015.5  317.726536  0.023424  49.142042   0.022902   \n",
       "148     591354000     2015.5  311.552296  0.020153  45.478606   0.027513   \n",
       "149    1596420524     2015.5  313.739699  0.023199  47.533790   0.023745   \n",
       "150     149906116     2015.5  329.469517  0.027138  56.163886   0.027658   \n",
       "151    1226073375     2015.5  335.910919  0.026144  57.680783   0.023981   \n",
       "152     441544231     2015.5  329.466308  0.030183  61.018848   0.030340   \n",
       "153    1376140687     2015.5  105.103468  0.019987 -20.431696   0.030910   \n",
       "154     833010805     2015.5  110.386898  0.027645 -16.687218   0.029952   \n",
       "155     110030686     2015.5  109.156804  0.035521 -11.487298   0.032039   \n",
       "156    1006829389     2015.5  105.249240  0.030249  -8.708983   0.036698   \n",
       "157     735459582     2015.5  103.547655  0.025922  -7.664379   0.027486   \n",
       "158     693181250     2015.5  106.785619  0.032435  -7.795128   0.034321   \n",
       "159    1009381090     2015.5  107.658298  0.031071  -7.122901   0.032809   \n",
       "160    1507808420     2015.5  102.702843  0.022796  -7.980728   0.024533   \n",
       "161      10386200     2015.5  101.183109  0.034342  -3.952398   0.035819   \n",
       "162    1533523235     2015.5  105.473396  0.038921  -1.130952   0.035437   \n",
       "163     168121212     2015.5   97.772677  0.021466  -2.146792   0.022574   \n",
       "164    1109475334     2015.5  104.709655  0.038410   9.622729   0.037434   \n",
       "165     996840204     2015.5   92.806594  0.043733   9.612492   0.045782   \n",
       "166    1221528101     2015.5   91.436350  0.037632  13.239989   0.036553   \n",
       "167     518256317     2015.5  100.156509  0.035457  11.727479   0.034570   \n",
       "168     904134089     2015.5   86.418875  0.044117  18.656884   0.038853   \n",
       "169     661767399     2015.5   69.311554  0.045549  18.543013   0.020443   \n",
       "170     522670436     2015.5   86.437150  0.036629  27.067899   0.033084   \n",
       "171    1191905332     2015.5   86.711730  0.039471  31.597912   0.039708   \n",
       "172    1358155271     2015.5   90.118771  0.042237  35.312160   0.040347   \n",
       "173    1483331605     2015.5  262.701587  0.045060 -33.609918   0.037730   \n",
       "174     342026024     2015.5  273.260403  0.093208 -23.117294   0.084258   \n",
       "175    1083813113     2015.5  281.322900  0.047327 -20.647394   0.046506   \n",
       "176    1449012947     2015.5  282.749472  0.049049 -20.295252   0.047469   \n",
       "177    1643333351     2015.5  277.972210  0.037587 -19.125099   0.035596   \n",
       "178    1225115776     2015.5  275.612784  0.041785 -10.124772   0.041016   \n",
       "179     806740406     2015.5  279.513774  0.045240  -8.368947   0.055005   \n",
       "180     163589993     2015.5  268.161245  0.069394  -6.143596   0.068688   \n",
       "181     139133696     2015.5  298.087496  0.048704 -11.366923   0.025921   \n",
       "182      75973621     2015.5  287.086544  0.039491  -7.437768   0.039116   \n",
       "183    1605838337     2015.5  280.611749  0.046436  -5.340852   0.052457   \n",
       "184    1669717963     2015.5  280.532969  0.046590  -4.293492   0.047619   \n",
       "185     755895730     2015.5  284.351107  0.041132  -0.730239   0.035994   \n",
       "186     784340794     2015.5  287.057289  0.045546   1.298632   0.043866   \n",
       "187     244228187     2015.5  286.164235  0.038347   1.306144   0.037806   \n",
       "188     828653881     2015.5  288.197138  0.046751   3.557399   0.044733   \n",
       "189     365759460     2015.5  299.387594  0.027977  11.043660   0.023267   \n",
       "190     121071797     2015.5  288.658723  0.036840   6.482522   0.037573   \n",
       "191     410680641     2015.5  290.259783  0.047114   8.516328   0.045980   \n",
       "192     306557642     2015.5  287.316627  0.044410  10.552466   0.042136   \n",
       "193    1296337730     2015.5  287.501725  0.039595  12.536536   0.032956   \n",
       "194     480751108     2015.5  281.475412  0.033451  12.336098   0.045599   \n",
       "195    1335366512     2015.5  284.561446  0.081703  17.360874   0.086114   \n",
       "196    1651169640     2015.5  176.136937  0.024629 -67.305250   0.026206   \n",
       "197    1051704902     2015.5  164.288338  0.025428 -65.134744   0.026673   \n",
       "198    1345845252     2015.5  165.566882  0.023851 -64.262893   0.022019   \n",
       "199     552283052     2015.5  150.015328  0.023763 -66.276233   0.025744   \n",
       "200     780821676     2015.5  158.018371  0.144154 -61.782617   0.144688   \n",
       "201     952318351     2015.5  160.595909  0.020469 -61.165901   0.023076   \n",
       "202    1088805318     2015.5  159.834651  0.022405 -61.152432   0.025081   \n",
       "203    1624625745     2015.5  159.074209  0.023699 -61.012557   0.026637   \n",
       "204    1014794053     2015.5  155.345675  0.028528 -61.074076   0.029773   \n",
       "205    1340059487     2015.5  155.084832  0.026073 -59.376609   0.025708   \n",
       "206    1167605349     2015.5  156.711937  0.023613 -59.669532   0.026217   \n",
       "207     979929432     2015.5  157.070132  0.027029 -59.350179   0.027809   \n",
       "208    1623375373     2015.5  148.858955  0.026488 -58.429689   0.027883   \n",
       "209     139966197     2015.5  153.886894  0.025473 -58.174439   0.028100   \n",
       "210     780002809     2015.5  127.182024  0.022077 -60.122564   0.026212   \n",
       "211    1585652729     2015.5  147.172826  0.027636 -55.519528   0.030497   \n",
       "212     134049418     2015.5  145.292721  0.024384 -53.816038   0.024821   \n",
       "213    1018747587     2015.5  144.214407  0.025957 -53.032779   0.023928   \n",
       "214    1319874143     2015.5  139.319633  0.020641 -53.084848   0.022574   \n",
       "215    1394158816     2015.5  140.006273  0.022653 -52.856185   0.024612   \n",
       "216     190750454     2015.5  143.348840  0.023769 -52.755846   0.024010   \n",
       "217     902093112     2015.5  142.920692  0.028170 -49.654989   0.029102   \n",
       "218      39015344     2015.5  137.065547  0.032432 -51.436255   0.040065   \n",
       "219    1684103498     2015.5  131.232855  0.024606 -50.560020   0.029295   \n",
       "220      99654822     2015.5  131.222759  0.030701 -46.342961   0.036130   \n",
       "221     915092055     2015.5  178.073783  0.021236 -65.404182   0.021178   \n",
       "222     396732720     2015.5  177.316650  0.022804 -63.078576   0.019725   \n",
       "223     324124746     2015.5  175.243845  0.024185 -62.692475   0.025602   \n",
       "224    1529092563     2015.5  171.304039  0.023829 -61.369148   0.027294   \n",
       "225     756593947     2015.5  171.273921  0.027168 -60.734612   0.025582   \n",
       "226     758977420     2015.5  178.389683  0.019204 -62.852196   0.019325   \n",
       "227    1281795000     2015.5  175.700842  0.025771 -58.993388   0.030152   \n",
       "228     411800413     2015.5  168.042125  0.024499 -61.754867   0.024510   \n",
       "229    1369186170     2015.5  167.685754  0.023091 -60.750273   0.025594   \n",
       "230     450736098     2015.5  168.588360  0.030454 -60.052918   0.025185   \n",
       "231     232562436     2015.5  164.461080  0.023454 -60.742085   0.022118   \n",
       "232    1537821487     2015.5  166.056070  0.031146 -60.979914   0.027315   \n",
       "233    1339311914     2015.5  163.136672  0.025003 -60.526754   0.024841   \n",
       "234    1238747227     2015.5  164.450727  0.024663 -59.732180   0.025608   \n",
       "235     453708566     2015.5  162.898985  0.022646 -59.384993   0.023035   \n",
       "236     600469451     2015.5  167.421347  0.028520 -58.837715   0.024771   \n",
       "237     389169192     2015.5  162.757551  0.025566 -58.590585   0.029035   \n",
       "238    1209740912     2015.5  161.136162  0.033002 -57.565358   0.032410   \n",
       "239    1311574755     2015.5  161.234721  0.027785 -56.289543   0.031423   \n",
       "240     336500592     2015.5  158.295138  0.028010 -58.498623   0.032124   \n",
       "241    1261472405     2015.5  157.296788  0.028072 -57.613392   0.030595   \n",
       "242     726459293     2015.5  159.035783  0.028459 -56.043226   0.025360   \n",
       "243     139745357     2015.5  155.170913  0.150463 -55.321381   0.144341   \n",
       "244      47812574     2015.5  143.461877  0.017338 -36.615737   0.023757   \n",
       "245      83778582     2015.5  114.575843  0.060173 -48.601410   0.061703   \n",
       "246     816153895     2015.5  122.705472  0.025371 -47.698529   0.034546   \n",
       "247    1555821449     2015.5  122.999835  0.052469 -46.644320   0.049262   \n",
       "248    1121981738     2015.5  129.420069  0.026685 -47.361949   0.032830   \n",
       "249    1308466208     2015.5  129.255401  0.022116 -44.114654   0.036260   \n",
       "250     462490838     2015.5  119.693073  0.024552 -38.994335   0.031229   \n",
       "251     773118373     2015.5  123.093322  0.024286 -36.943742   0.026381   \n",
       "252     547670999     2015.5  123.267547  0.017912 -34.578513   0.021695   \n",
       "253    1024567563     2015.5  111.617669  0.018816 -25.926769   0.027275   \n",
       "254    1586184497     2015.5  115.495839  0.021443 -25.876170   0.029443   \n",
       "255     923983032     2015.5  117.016036  0.020194 -25.577771   0.027331   \n",
       "256     356558958     2015.5  119.240416  0.029803 -22.825424   0.027403   \n",
       "257     369386330     2015.5  240.294628  0.025658 -63.776549   0.018816   \n",
       "258     424962886     2015.5  232.707545  0.016303 -65.599360   0.023405   \n",
       "259    1033943777     2015.5  229.940413  0.018241 -66.496075   0.036803   \n",
       "260    1386974757     2015.5  241.829170  0.031372 -62.910572   0.027249   \n",
       "261    1222207309     2015.5  244.715952  0.037271 -57.899803   0.022119   \n",
       "262    1290428101     2015.5  222.626197  0.022852 -67.497632   0.026939   \n",
       "263     845813466     2015.5  190.520889  0.025719 -69.407564   0.022302   \n",
       "264     639820602     2015.5  183.195813  0.091689 -70.151795   0.100856   \n",
       "265    1225299502     2015.5  202.889156  0.091918 -61.582373   0.112558   \n",
       "266    1140949919     2015.5  199.742796  0.023122 -62.382345   0.027856   \n",
       "267     361639407     2015.5  207.684489  0.018596 -57.580510   0.022806   \n",
       "268    1122522156     2015.5  205.077654  0.021883 -57.613184   0.030793   \n",
       "269    1506422675     2015.5  223.146842  0.246498 -63.809860   0.269726   \n",
       "270    1126188358     2015.5  221.674869  0.032310 -61.461959   0.031635   \n",
       "271     213110016     2015.5  219.299845  0.023951 -62.010916   0.026286   \n",
       "272    1628440962     2015.5  218.137795  0.027222 -56.887745   0.033763   \n",
       "273    1015199695     2015.5  264.406505  0.049193 -40.813549   0.047898   \n",
       "274    1161445993     2015.5  254.582293  0.048524 -33.609129   0.033172   \n",
       "275    1590898651     2015.5  188.327748  0.034200 -63.506370   0.031274   \n",
       "276    1625467568     2015.5  185.337933  0.021635 -62.281635   0.023077   \n",
       "277     949270190     2015.5  195.794488  0.020626 -60.877468   0.027465   \n",
       "278     810821989     2015.5  183.248566  0.029899 -62.096824   0.029696   \n",
       "279     960041533     2015.5  187.917935  0.060227 -59.423941   0.062406   \n",
       "280     255378444     2015.5  190.358420  0.024456 -59.794186   0.029130   \n",
       "281    1690092073     2015.5  191.592780  0.029763 -59.124727   0.030909   \n",
       "282    1361041338     2015.5  193.591577  0.029797 -58.430632   0.036430   \n",
       "\n",
       "     parallax  parallax_error  parallax_over_error       pmra  pmra_error  \\\n",
       "0    0.275704        0.048918             5.636033  -2.179608    0.065318   \n",
       "1    0.174622        0.038705             4.511661  -0.442315    0.069973   \n",
       "2    0.124740        0.049030             2.544150  -0.042696    0.094998   \n",
       "3    0.415125        0.048604             8.540995  -0.667840    0.098408   \n",
       "4    0.258268        0.046237             5.585749   0.759802    0.086492   \n",
       "5    0.193317        0.044549             4.339382  -0.152676    0.080497   \n",
       "6    0.090677        0.060071             1.509490  -0.485188    0.080452   \n",
       "7    0.697251        0.064157            10.867847   1.982707    0.107706   \n",
       "8    0.513103        0.077341             6.634322   1.144533    0.111874   \n",
       "9    0.702227        0.058590            11.985346  -0.057188    0.096007   \n",
       "10   0.410166        0.045753             8.964783  -0.418910    0.084638   \n",
       "11   0.150709        0.028482             5.291459  -1.480622    0.040671   \n",
       "12   0.148993        0.027572             5.403829  -2.568540    0.041169   \n",
       "13   0.289989        0.034254             8.465862  -2.627301    0.049423   \n",
       "14   0.138201        0.026470             5.221033  -1.385562    0.039159   \n",
       "15   0.060329        0.030136             2.001920  -1.520458    0.042706   \n",
       "16   0.213099        0.026879             7.928214  -1.206290    0.040311   \n",
       "17   0.062129        0.034674             1.791828  -0.744672    0.044812   \n",
       "18   0.077720        0.019586             3.968206  -1.161681    0.026423   \n",
       "19   0.169794        0.036931             4.597581  -2.113402    0.041071   \n",
       "20   0.126722        0.034208             3.704464  -2.384257    0.040542   \n",
       "21   0.400225        0.035101            11.402030  -1.273257    0.056302   \n",
       "22   0.474358        0.038007            12.480704  -1.746481    0.062004   \n",
       "23   0.247686        0.046633             5.311415  -2.606153    0.066772   \n",
       "24   0.503894        0.044516            11.319327  -1.353638    0.083133   \n",
       "25   1.041957        0.063712            16.354294   0.337635    0.104470   \n",
       "26   0.172405        0.043149             3.995569   0.167656    0.079196   \n",
       "27   0.216269        0.039825             5.430519  -0.060064    0.081114   \n",
       "28   0.232381        0.048690             4.772676   0.400384    0.082650   \n",
       "29   0.111740        0.035562             3.142160   0.305638    0.072884   \n",
       "30   0.178185        0.029038             6.136292   0.288811    0.058139   \n",
       "31   0.070773        0.039840             1.776428   0.390715    0.056913   \n",
       "32   0.542955        0.051119            10.621316   1.322640    0.100273   \n",
       "33   0.069642        0.049651             1.402617  -0.503940    0.111438   \n",
       "34   0.106855        0.049811             2.145226   0.632048    0.100277   \n",
       "35   0.034005        0.277784             0.122414   5.461575    0.408514   \n",
       "36   0.162451        0.060963             2.664737   0.089315    0.120923   \n",
       "37   0.231577        0.048179             4.806564   0.562021    0.084834   \n",
       "38   0.330847        0.043346             7.632632   0.174827    0.077098   \n",
       "39   0.520507        0.037634            13.830791   0.358126    0.059121   \n",
       "40   0.164937        0.031564             5.225455   0.661631    0.046040   \n",
       "41   1.271754        0.034650            36.702510   4.359813    0.047394   \n",
       "42   0.915030        0.046482            19.685543   1.516117    0.062945   \n",
       "43   0.358621        0.032549            11.018047  -2.013318    0.043219   \n",
       "44   0.398570        0.030092            13.244846  -2.134606    0.042615   \n",
       "45   0.081740        0.027270             2.997461  -1.300794    0.026574   \n",
       "46   0.053334        0.020497             2.602029  -1.401096    0.026449   \n",
       "47   0.403431        0.030089            13.408034  -1.402254    0.037826   \n",
       "48   0.422230        0.034159            12.360599  -2.569002    0.048543   \n",
       "49   0.509232        0.029839            17.065891  -2.648587    0.042496   \n",
       "50   0.223627        0.029940             7.469092  -3.175507    0.043401   \n",
       "51   0.067104        0.017046             3.936754  -1.704906    0.023928   \n",
       "52   0.246697        0.025050             9.848324  -2.573521    0.037158   \n",
       "53   0.159657        0.032356             4.934335  -3.038138    0.045318   \n",
       "54   0.302839        0.033398             9.067471  -1.613879    0.047885   \n",
       "55   0.259692        0.027539             9.429853  -1.591647    0.039164   \n",
       "56   0.182244        0.037385             4.874743  -2.058034    0.057085   \n",
       "57   0.265173        0.040033             6.623903  -0.944372    0.079017   \n",
       "58   0.365570        0.034501            10.595869  -0.130131    0.065825   \n",
       "59   0.394153        0.035271            11.174958   0.087277    0.073918   \n",
       "60   0.365080        0.041511             8.794794   0.192280    0.087996   \n",
       "61   0.222391        0.036582             6.079237  -0.145659    0.039414   \n",
       "62   0.187829        0.033835             5.551357   0.058179    0.040423   \n",
       "63   0.306970        0.027987            10.968152  -0.446293    0.035987   \n",
       "64   0.076786        0.025933             2.960905  -1.237957    0.028489   \n",
       "65   0.782275        0.039722            19.693735  -1.029782    0.063430   \n",
       "66   0.132132        0.043068             3.067986  -0.254455    0.052470   \n",
       "67   1.500397        0.182395             8.226086  -2.033328    0.308871   \n",
       "68   0.715604        0.031478            22.733799   0.564682    0.045275   \n",
       "69   0.169925        0.028024             6.063590   0.330713    0.039340   \n",
       "70   0.115436        0.031361             3.680827  -1.053528    0.063283   \n",
       "71   0.334629        0.041980             7.971144  -1.196993    0.031995   \n",
       "72   0.015002        0.021891             0.685301  -0.924404    0.020573   \n",
       "73   0.225958        0.038647             5.846727  -0.261667    0.072314   \n",
       "74   0.329827        0.030806            10.706683  -0.055272    0.056864   \n",
       "75   0.126665        0.033022             3.835750  -0.581531    0.061359   \n",
       "76   0.345538        0.038509             8.972997  -0.846561    0.059510   \n",
       "77   0.328963        0.043585             7.547652  -0.202369    0.048357   \n",
       "78   0.480974        0.037106            12.962300  -1.213222    0.039596   \n",
       "79   1.296313        0.031333            41.372078  -0.450178    0.038244   \n",
       "80   0.279642        0.034435             8.120739  -0.591329    0.046995   \n",
       "81   0.246914        0.067604             3.652347  -1.299330    0.063505   \n",
       "82   0.121545        0.027064             4.490947  -0.835826    0.031614   \n",
       "83   0.148580        0.029586             5.021909  -1.971377    0.036436   \n",
       "84   0.339567        0.034723             9.779359  -1.266208    0.051834   \n",
       "85   0.373860        0.027643            13.524399  -0.465009    0.036166   \n",
       "86   0.140652        0.034036             4.132487  -6.032100    0.062784   \n",
       "87   0.228325        0.036178             6.311087  -1.732024    0.046761   \n",
       "88   0.642553        0.093156             6.897586   1.762927    0.121943   \n",
       "89   1.052989        0.038967            27.022390   0.905571    0.049711   \n",
       "90   1.706173        0.055117            30.955368   3.640102    0.072388   \n",
       "91   1.673805        0.089141            18.776976   3.495889    0.138940   \n",
       "92   0.898267        0.027008            33.259600  -6.796781    0.041655   \n",
       "93   0.446392        0.028187            15.836808  -2.887791    0.044613   \n",
       "94   0.349530        0.027658            12.637806  -1.909788    0.040147   \n",
       "95   0.434985        0.028488            15.269077  -3.938530    0.043399   \n",
       "96   0.509449        0.030578            16.660795  -3.638185    0.049772   \n",
       "97   1.150552        0.066348            17.341063   3.740057    0.100766   \n",
       "98   0.895998        0.027305            32.814613  -0.894074    0.044460   \n",
       "99   0.561364        0.032457            17.295877  -3.426796    0.052788   \n",
       "100  0.403412        0.034232            11.784738  -3.022166    0.054582   \n",
       "101  0.277939        0.029724             9.350644  -3.640385    0.055159   \n",
       "102  0.250242        0.029614             8.450044  -2.135420    0.045970   \n",
       "103  0.319333        0.033476             9.539202  -2.998916    0.046559   \n",
       "104 -0.003332        0.020462            -0.162856  -1.653801    0.030846   \n",
       "105  0.436733        0.035124            12.434189  -3.344406    0.059664   \n",
       "106  0.495691        0.038217            12.970286  -3.254334    0.061330   \n",
       "107  0.171788        0.035233             4.875830  -3.013012    0.052641   \n",
       "108  0.323025        0.032964             9.799307  -3.633249    0.053504   \n",
       "109  0.457508        0.038275            11.953077  -3.917988    0.060041   \n",
       "110  0.264774        0.035311             7.498450  -3.131723    0.058865   \n",
       "111  0.679482        0.030348            22.389774  -4.112812    0.051360   \n",
       "112  0.254465        0.027676             9.194577  -3.911111    0.045017   \n",
       "113  0.412512        0.031950            12.911286  -3.391692    0.050617   \n",
       "114  0.355163        0.026200            13.555663  -2.687638    0.040771   \n",
       "115  0.287139        0.032163             8.927568  -3.073794    0.044265   \n",
       "116  0.138889        0.027678             5.018014  -2.462862    0.040458   \n",
       "117  0.220969        0.029413             7.512624  -1.713010    0.050297   \n",
       "118  0.389670        0.027218            14.316376  -3.383490    0.047848   \n",
       "119  0.155260        0.027720             5.600967  -2.558421    0.044382   \n",
       "120  0.228762        0.037659             6.074491  -1.634818    0.066212   \n",
       "121  0.587692        0.032256            18.219816  -1.448302    0.055950   \n",
       "122  0.382629        0.030674            12.474009  -2.297449    0.049874   \n",
       "123  0.270838        0.028402             9.535844  -3.267489    0.047097   \n",
       "124  0.242518        0.027647             8.772011  -3.152432    0.046324   \n",
       "125  0.840803        0.039363            21.360090  -1.418909    0.061008   \n",
       "126  0.372855        0.030349            12.285450  -2.138872    0.045232   \n",
       "127  0.400340        0.032269            12.406335  -2.510964    0.044112   \n",
       "128  0.216275        0.028992             7.459870  -2.495278    0.041489   \n",
       "129  0.245333        0.031415             7.809437  -3.540651    0.044966   \n",
       "130  1.169542        0.051569            22.679317  -1.853232    0.091582   \n",
       "131  0.146688        0.028244             5.193652  -4.242271    0.042366   \n",
       "132  0.212112        0.026476             8.011462  -3.387118    0.043977   \n",
       "133  0.026979        0.021050             1.281636  -1.963319    0.032594   \n",
       "134  0.048016        0.029711             1.616138  -3.575877    0.044403   \n",
       "135  0.697229        0.038827            17.957233  -3.514217    0.055053   \n",
       "136  0.338865        0.033482            10.120688  -2.986995    0.050326   \n",
       "137  0.380758        0.033244            11.453321  -2.001122    0.054387   \n",
       "138  0.103604        0.026959             3.843004  -4.130740    0.043705   \n",
       "139  0.399355        0.027886            14.320792  -2.543835    0.043892   \n",
       "140  0.266504        0.029118             9.152502  -3.039513    0.044483   \n",
       "141  0.447371        0.029270            15.284524  -4.962476    0.049343   \n",
       "142  0.361573        0.026156            13.823726  -2.254669    0.045821   \n",
       "143  0.033020        0.018866             1.750216  -2.699015    0.031828   \n",
       "144  0.413399        0.023407            17.661072  -1.608606    0.038553   \n",
       "145  0.780722        0.036675            21.287788  -0.966081    0.062765   \n",
       "146  0.141011        0.030759             4.584346  -2.880405    0.048963   \n",
       "147  0.386795        0.027892            13.867589  -2.708360    0.045707   \n",
       "148  0.528177        0.027448            19.242771   0.531202    0.042939   \n",
       "149  0.527686        0.028010            18.839010  -2.078044    0.050558   \n",
       "150  0.287722        0.031663             9.087132  -3.933457    0.049745   \n",
       "151  0.224349        0.029276             7.663171  -2.815477    0.048969   \n",
       "152  1.132780        0.033274            34.043587  -5.395975    0.057506   \n",
       "153  0.181629        0.041452             4.381669  -0.448678    0.054827   \n",
       "154  0.491694        0.039590            12.419719  -1.511957    0.056746   \n",
       "155  0.616425        0.047487            12.980889  -2.771330    0.069418   \n",
       "156  0.268923        0.044216             6.082084  -2.282974    0.065396   \n",
       "157 -0.025590        0.037269            -0.686627  -0.122240    0.068214   \n",
       "158  0.127636        0.044864             2.844972  -0.413120    0.070397   \n",
       "159  0.138431        0.037973             3.645555  -0.930780    0.068151   \n",
       "160  0.141794        0.032653             4.342438  -0.358865    0.053472   \n",
       "161  0.134575        0.041906             3.211329  -0.999037    0.068398   \n",
       "162  0.419051        0.041782            10.029445  -3.472378    0.080769   \n",
       "163  0.062152        0.024389             2.548388   0.185216    0.042867   \n",
       "164  0.277803        0.041803             6.645571  -0.365950    0.072291   \n",
       "165  0.387307        0.059261             6.535567  -0.398512    0.078239   \n",
       "166  0.160262        0.043073             3.720674   0.695141    0.077786   \n",
       "167  0.258321        0.041413             6.237648  -0.706862    0.068245   \n",
       "168  0.805196        0.052640            15.296192   1.214523    0.084960   \n",
       "169  1.428380        0.060568            23.583138  -4.607572    0.128644   \n",
       "170  0.253450        0.040053             6.327799  -0.154885    0.073227   \n",
       "171  0.148102        0.050816             2.914465   0.104240    0.078650   \n",
       "172  0.957081        0.049033            19.519045  -1.221831    0.082083   \n",
       "173  0.920392        0.046974            19.593626   0.315764    0.090928   \n",
       "174  1.119032        0.052685            21.240217   0.886391    0.156186   \n",
       "175  0.985906        0.047238            20.871054  -0.277034    0.084209   \n",
       "176  1.248455        0.041093            30.381370   0.305106    0.098171   \n",
       "177  1.460081        0.044714            32.653430  -1.681381    0.073594   \n",
       "178  0.490294        0.052026             9.424084   1.517433    0.082747   \n",
       "179  0.429402        0.066752             6.432774  -0.707245    0.091895   \n",
       "180  1.361059        0.083443            16.311155  -3.233863    0.134873   \n",
       "181  0.737999        0.052144            14.152988   7.826320    0.095624   \n",
       "182  0.943546        0.047614            19.816631  -0.609484    0.080432   \n",
       "183  0.376317        0.064852             5.802721  -1.036999    0.092505   \n",
       "184  0.320928        0.052406             6.123836  -1.126822    0.090510   \n",
       "185  0.399871        0.042511             9.406328  -1.711275    0.090003   \n",
       "186  0.888077        0.054475            16.302520  -0.272375    0.085239   \n",
       "187  0.421025        0.044920             9.372765   0.285276    0.075223   \n",
       "188  0.690107        0.049826            13.850221  -1.813866    0.103752   \n",
       "189  0.300351        0.042532             7.061707   0.112402    0.060439   \n",
       "190  0.441209        0.045593             9.677101  -3.968451    0.075105   \n",
       "191  0.553951        0.055081            10.057045   2.141418    0.114079   \n",
       "192  0.930370        0.056988            16.325720   0.261367    0.091553   \n",
       "193  0.477475        0.050336             9.485855  -1.703734    0.074834   \n",
       "194  0.233258        0.047424             4.918619  -4.218347    0.070113   \n",
       "195  1.809758        0.107038            16.907692  -1.067562    0.157799   \n",
       "196  0.680675        0.031565            21.564470  -6.751979    0.050844   \n",
       "197  0.265594        0.027140             9.786026  -5.717193    0.046859   \n",
       "198  0.329524        0.026614            12.381757  -5.144734    0.045670   \n",
       "199  0.857880        0.026276            32.648663  -5.479877    0.052108   \n",
       "200 -1.124873        0.170918            -6.581354  -5.908855    0.282259   \n",
       "201  0.330475        0.025346            13.038325  -6.238191    0.043561   \n",
       "202  0.328375        0.029099            11.284710  -6.168824    0.046326   \n",
       "203  0.373767        0.027768            13.460349  -6.209583    0.047234   \n",
       "204  0.286733        0.030156             9.508356  -6.371556    0.058335   \n",
       "205  0.345360        0.029865            11.563930  -5.857801    0.054970   \n",
       "206  0.263065        0.029025             9.063525  -7.304970    0.051591   \n",
       "207  0.320416        0.030748            10.420779  -6.626156    0.052578   \n",
       "208  0.355165        0.030146            11.781349  -5.501188    0.054357   \n",
       "209  0.365269        0.032335            11.296439  -5.905642    0.050533   \n",
       "210  0.760332        0.022711            33.478413  -4.062178    0.050156   \n",
       "211  0.207293        0.035746             5.799020  -6.255851    0.057295   \n",
       "212  0.164944        0.029660             5.561196  -4.572688    0.049766   \n",
       "213  0.312308        0.028536            10.944298  -5.111487    0.054429   \n",
       "214  0.208720        0.024604             8.483041  -4.098905    0.044688   \n",
       "215  0.094581        0.026217             3.607662  -4.374375    0.047664   \n",
       "216  0.275207        0.026328            10.453095  -4.980123    0.048962   \n",
       "217  0.391059        0.032465            12.045588  -5.690577    0.056362   \n",
       "218  1.007410        0.037289            27.016060 -10.491429    0.065326   \n",
       "219  0.407380        0.029342            13.884062  -4.874204    0.049437   \n",
       "220  0.408669        0.041087             9.946515  -4.550365    0.062899   \n",
       "221  0.264245        0.026353            10.027018  -5.913366    0.041904   \n",
       "222  0.335107        0.026335            12.725000  -8.428934    0.047624   \n",
       "223  0.621361        0.030001            20.711150  -6.649776    0.045931   \n",
       "224  0.424661        0.031512            13.476233  -7.161994    0.051799   \n",
       "225  0.549468        0.032249            17.038387  -6.711683    0.053534   \n",
       "226  0.234283        0.024573             9.534306  -6.344954    0.040399   \n",
       "227  0.099202        0.030966             3.203606  -6.408767    0.049994   \n",
       "228  0.703772        0.030089            23.389390  -7.062522    0.055277   \n",
       "229  0.355160        0.029333            12.108058  -6.707265    0.045494   \n",
       "230  0.297908        0.032991             9.029888  -4.591652    0.058077   \n",
       "231  0.374159        0.026633            14.048674  -5.861164    0.045858   \n",
       "232  0.424007        0.034523            12.281926  -7.255838    0.055990   \n",
       "233  0.137282        0.031168             4.404560  -7.178707    0.046179   \n",
       "234  0.478973        0.029342            16.323925  -5.965910    0.048255   \n",
       "235  0.375058        0.026242            14.292014  -5.547370    0.044439   \n",
       "236  0.795640        0.034582            23.007395  -9.689901    0.052484   \n",
       "237  0.203354        0.033949             5.990051  -6.630990    0.051383   \n",
       "238  0.512082        0.041380            12.375090  -6.213358    0.061901   \n",
       "239  0.406078        0.037423            10.851131  -7.205732    0.052942   \n",
       "240  0.301149        0.035838             8.403101  -9.084709    0.061366   \n",
       "241  0.560716        0.037466            14.966096  -7.072803    0.057344   \n",
       "242  0.229834        0.033641             6.832002  -7.739495    0.057198   \n",
       "243 -0.809395        0.176980            -4.573359  -6.902093    0.306256   \n",
       "244  0.292384        0.028568            10.234822  -6.968931    0.034947   \n",
       "245  1.260995        0.064282            19.616655  -4.062171    0.124459   \n",
       "246  0.616138        0.030874            19.956720  -6.803052    0.052117   \n",
       "247  1.216967        0.056958            21.366066  -4.405166    0.100530   \n",
       "248  0.851743        0.034860            24.433538  -6.729725    0.054807   \n",
       "249  0.546744        0.031681            17.258026  -4.663950    0.046646   \n",
       "250  0.139121        0.034080             4.082205  -1.503954    0.050141   \n",
       "251  0.567616        0.029561            19.201212  -4.561175    0.054361   \n",
       "252  0.584438        0.026037            22.446424  -3.521954    0.038135   \n",
       "253  0.514558        0.031464            16.353756  -3.528715    0.041715   \n",
       "254  0.334660        0.037644             8.890149  -2.133030    0.048514   \n",
       "255  0.122721        0.038899             3.154834  -2.496259    0.054841   \n",
       "256  0.351249        0.042740             8.218287  -3.033803    0.057613   \n",
       "257  1.075261        0.030130            35.687683  -2.244327    0.047880   \n",
       "258  0.888756        0.031891            27.868816  -4.750396    0.029169   \n",
       "259  1.475448        0.037119            39.748653  -5.112891    0.031427   \n",
       "260  0.877189        0.041349            21.214285  -1.426630    0.057785   \n",
       "261  1.061575        0.042210            25.150066  -1.414971    0.066314   \n",
       "262  1.015782        0.035968            28.241020  -3.301760    0.036416   \n",
       "263  1.000182        0.029113            34.355537  -4.179905    0.043637   \n",
       "264  1.131409        0.116695             9.695432  -8.015800    0.192610   \n",
       "265  0.483817        0.154478             3.131951  -5.908236    0.164146   \n",
       "266  0.556828        0.038559            14.440938  -5.544255    0.041331   \n",
       "267  0.841311        0.034035            24.718979  -5.792509    0.056140   \n",
       "268  0.537343        0.042194            12.735098  -4.019668    0.063125   \n",
       "269  1.744906        0.345022             5.057371  -4.778794    0.443338   \n",
       "270  0.995196        0.040231            24.736950  -5.354632    0.046685   \n",
       "271  1.014842        0.031892            31.821453  -2.250779    0.037238   \n",
       "272  1.339657        0.044743            29.941076  -6.399333    0.080859   \n",
       "273  0.839785        0.052174            16.095882  -0.427039    0.097294   \n",
       "274  1.130588        0.055226            20.471851   1.998442    0.095491   \n",
       "275  0.783238        0.044713            17.517078  -3.881711    0.057239   \n",
       "276  1.139748        0.027632            41.247375 -10.887597    0.041096   \n",
       "277  0.446249        0.031135            14.332885  -3.421322    0.039105   \n",
       "278  0.290882        0.037959             7.663132  -5.349920    0.055480   \n",
       "279  1.777744        0.087312            20.360730 -12.688842    0.117405   \n",
       "280  0.620995        0.038395            16.173777  -4.360298    0.047163   \n",
       "281  0.523545        0.045930            11.398756  -5.820501    0.057571   \n",
       "282  1.021483        0.044819            22.791525  -9.480311    0.055045   \n",
       "\n",
       "         pmdec  pmdec_error  ra_dec_corr  ra_parallax_corr  ra_pmra_corr  \\\n",
       "0     3.144803     0.062298    -0.126156          0.187025      0.090076   \n",
       "1     0.570539     0.069934    -0.109413         -0.028440     -0.105147   \n",
       "2     0.803041     0.085952    -0.353997          0.127310     -0.326267   \n",
       "3     1.150246     0.088265    -0.550498          0.121233     -0.474824   \n",
       "4     0.078453     0.073984    -0.304502         -0.109619     -0.376005   \n",
       "5    -2.953093     0.069044    -0.077346          0.329315     -0.151098   \n",
       "6    -1.274075     0.067162    -0.398742          0.321357     -0.268799   \n",
       "7    -1.479345     0.083884     0.358470         -0.240995     -0.319904   \n",
       "8    -0.244773     0.088711    -0.075589         -0.029952     -0.359109   \n",
       "9    -0.383981     0.085507     0.119653         -0.285405     -0.163267   \n",
       "10   -2.190966     0.073711     0.117532          0.043280     -0.312938   \n",
       "11    2.172698     0.048335     0.195252         -0.001490     -0.231479   \n",
       "12    3.241689     0.042550     0.159440          0.157935     -0.117219   \n",
       "13    2.443422     0.052102     0.165281          0.079977      0.043708   \n",
       "14    2.170105     0.049356     0.182135          0.018627     -0.009959   \n",
       "15    1.944400     0.052864     0.184970          0.005508     -0.293422   \n",
       "16    2.670997     0.045938    -0.008561          0.028196     -0.178407   \n",
       "17    1.883888     0.049627     0.014850          0.001397     -0.270208   \n",
       "18    2.083325     0.029590     0.098158         -0.125981     -0.375563   \n",
       "19    2.164458     0.049063    -0.251875          0.142497     -0.279801   \n",
       "20    2.975668     0.047263    -0.131759          0.088541     -0.099836   \n",
       "21   -2.083340     0.048215     0.004556         -0.153635     -0.300209   \n",
       "22   -3.762794     0.051012     0.222684         -0.227086     -0.457573   \n",
       "23   -6.661254     0.053118     0.477070         -0.286525     -0.412304   \n",
       "24   -2.233629     0.064717    -0.116915         -0.129329     -0.508100   \n",
       "25   -1.344815     0.065519    -0.224672          0.438145     -0.355919   \n",
       "26   -0.585082     0.058388     0.052987          0.142589     -0.544867   \n",
       "27   -0.578002     0.057638    -0.226124          0.051099     -0.345653   \n",
       "28   -1.137645     0.061384    -0.411299          0.168285     -0.401922   \n",
       "29   -1.889784     0.055697    -0.137217          0.076621     -0.363332   \n",
       "30   -0.186510     0.037472     0.146233          0.205708     -0.506024   \n",
       "31   -0.327778     0.040818    -0.044608          0.433824     -0.380698   \n",
       "32   -3.156421     0.075582    -0.012418         -0.023213     -0.586145   \n",
       "33   -1.609636     0.075953     0.127055          0.004658     -0.681207   \n",
       "34   -0.192034     0.076127     0.186735          0.020649     -0.627474   \n",
       "35   -1.732394     0.320219    -0.047627          0.280996     -0.434538   \n",
       "36   -0.231490     0.093171     0.124279          0.004376     -0.553589   \n",
       "37   -1.252446     0.053465     0.078679          0.229296     -0.120649   \n",
       "38   -1.824866     0.064046     0.039991          0.282839     -0.368425   \n",
       "39   -2.411054     0.039181    -0.146303          0.277769     -0.342904   \n",
       "40   -0.552273     0.039899    -0.139593          0.314059     -0.367214   \n",
       "41   -3.091518     0.042370    -0.508829          0.277593     -0.419416   \n",
       "42   -3.390221     0.040483    -0.390416          0.490484     -0.703456   \n",
       "43   -1.486586     0.038677    -0.228439          0.250477     -0.406722   \n",
       "44   -1.882500     0.035885    -0.274615          0.343108     -0.435040   \n",
       "45    0.039231     0.027346    -0.625004          0.347227     -0.012148   \n",
       "46   -0.130341     0.024713    -0.271482          0.198903     -0.507831   \n",
       "47   -0.881949     0.045797    -0.226227          0.273631     -0.354586   \n",
       "48   -1.470176     0.046957    -0.228452          0.129287     -0.537847   \n",
       "49   -1.171550     0.049273    -0.223674          0.157316     -0.416845   \n",
       "50   -1.611164     0.040379    -0.093586          0.262891     -0.366990   \n",
       "51   -0.516718     0.026144    -0.060513          0.175479     -0.367902   \n",
       "52   -0.274076     0.034969    -0.089855          0.164828     -0.311175   \n",
       "53   -0.626654     0.050788    -0.039870          0.325655     -0.509221   \n",
       "54   -0.792750     0.046206    -0.042420          0.227532     -0.242007   \n",
       "55    0.054083     0.036558    -0.129176          0.158698     -0.363847   \n",
       "56   -0.685997     0.046320    -0.352562          0.169162     -0.443059   \n",
       "57   -0.418964     0.091394     0.359953         -0.030661     -0.274097   \n",
       "58   -0.986488     0.080122     0.230249          0.180781     -0.136613   \n",
       "59   -0.788258     0.080015     0.223910          0.039768     -0.100424   \n",
       "60   -0.680112     0.093120     0.161778         -0.080803     -0.186084   \n",
       "61   -0.617469     0.048346    -0.037961          0.430977     -0.522110   \n",
       "62    0.555700     0.050310    -0.016485          0.275644     -0.575291   \n",
       "63   -0.221143     0.053524     0.301543         -0.036217     -0.783976   \n",
       "64    0.436821     0.040560    -0.262013          0.085386     -0.570995   \n",
       "65   -0.392662     0.052600    -0.385520          0.019824     -0.544286   \n",
       "66   -0.328641     0.050739    -0.265370          0.332557     -0.394827   \n",
       "67    1.225711     0.264014    -0.266724         -0.135109     -0.662874   \n",
       "68   -0.709959     0.047072    -0.092913          0.227899     -0.467641   \n",
       "69    0.428755     0.042858    -0.149178          0.220997     -0.509381   \n",
       "70    0.205382     0.064231     0.178181          0.005601      0.109536   \n",
       "71   -0.070424     0.061530    -0.537704          0.202368     -0.523971   \n",
       "72    0.199639     0.035858    -0.499353         -0.017656     -0.577162   \n",
       "73    0.052601     0.084105     0.352978          0.029541     -0.360116   \n",
       "74   -1.245127     0.061683     0.124513          0.161171     -0.106307   \n",
       "75   -0.200744     0.057266    -0.106831          0.092411     -0.073253   \n",
       "76   -0.902415     0.093652    -0.083459          0.091922     -0.067804   \n",
       "77   -0.747591     0.055318    -0.271994          0.169645     -0.393495   \n",
       "78    0.424136     0.051553    -0.464919          0.207432     -0.405660   \n",
       "79   -0.141337     0.044545    -0.184351          0.019293     -0.509635   \n",
       "80   -0.584965     0.046276    -0.292461         -0.024715     -0.466099   \n",
       "81    0.676827     0.084691    -0.376790          0.387492     -0.239795   \n",
       "82    0.167295     0.041568    -0.248233          0.068826     -0.374194   \n",
       "83   -0.993366     0.041825    -0.150101          0.147068     -0.487842   \n",
       "84   -0.774400     0.051368    -0.203411          0.080698     -0.295259   \n",
       "85    0.092564     0.041500    -0.196529          0.124818     -0.320934   \n",
       "86   -5.194741     0.059074     0.154380          0.259694     -0.245539   \n",
       "87   -4.967683     0.041015     0.157414          0.064699     -0.164913   \n",
       "88   -5.428029     0.112663     0.161964         -0.050723     -0.339202   \n",
       "89   -0.959876     0.061514     0.050201          0.114882     -0.560362   \n",
       "90   -5.077193     0.090182    -0.541814         -0.053568      0.117310   \n",
       "91   -5.086511     0.140903     0.115138          0.315737     -0.593386   \n",
       "92   -5.001337     0.039015    -0.146377          0.114130     -0.194402   \n",
       "93   -4.047353     0.043946    -0.012508          0.128686     -0.279774   \n",
       "94   -3.553273     0.049507    -0.016142          0.002826     -0.147679   \n",
       "95   -3.411474     0.043890     0.115838          0.225602     -0.372570   \n",
       "96   -3.876780     0.063283    -0.082924          0.234995     -0.277616   \n",
       "97    0.326274     0.114499    -0.046074         -0.102718     -0.219882   \n",
       "98   -2.027355     0.052663    -0.051674          0.189638     -0.271545   \n",
       "99   -3.504765     0.053206     0.068140          0.240796     -0.217186   \n",
       "100  -2.587964     0.052105     0.117219          0.344026     -0.313363   \n",
       "101  -4.184029     0.049655     0.160924          0.197933     -0.377545   \n",
       "102  -0.500836     0.037470    -0.222104          0.252306     -0.625461   \n",
       "103  -0.988249     0.047268    -0.120600          0.242463     -0.351790   \n",
       "104  -0.475233     0.028319     0.031694          0.330131     -0.152847   \n",
       "105  -1.266723     0.054887    -0.061461          0.046572     -0.128806   \n",
       "106  -1.423701     0.060366    -0.123819          0.114012     -0.205819   \n",
       "107  -2.696329     0.046991     0.187151          0.408920     -0.422190   \n",
       "108  -3.073999     0.054105    -0.074593          0.223228     -0.263884   \n",
       "109  -2.695574     0.069349    -0.000465          0.378512     -0.318980   \n",
       "110  -2.512946     0.051240    -0.062445          0.022034      0.072953   \n",
       "111  -2.956045     0.041841    -0.157757          0.108369     -0.495660   \n",
       "112  -2.369811     0.038890     0.028859          0.292716     -0.394139   \n",
       "113  -2.465374     0.043973     0.173906          0.403355     -0.437351   \n",
       "114  -1.638111     0.040373    -0.059038          0.308282     -0.321272   \n",
       "115  -1.753802     0.042317    -0.079166          0.230769     -0.378493   \n",
       "116  -0.986269     0.038195    -0.080780          0.351477     -0.391259   \n",
       "117  -1.083876     0.038365    -0.139513          0.055331     -0.464151   \n",
       "118  -2.781092     0.038893    -0.004271          0.194544     -0.481241   \n",
       "119  -0.864922     0.037913     0.079722          0.322419     -0.373735   \n",
       "120  -0.587613     0.059723    -0.237941          0.027439     -0.303474   \n",
       "121  -0.768645     0.054604    -0.126576         -0.005224     -0.514455   \n",
       "122  -1.463073     0.042736    -0.071071          0.141709     -0.404355   \n",
       "123  -1.705569     0.043071    -0.066309          0.056882     -0.341973   \n",
       "124  -1.490269     0.040211     0.014925          0.335376     -0.254310   \n",
       "125  -4.043282     0.061322    -0.087384         -0.017530     -0.387693   \n",
       "126  -5.819676     0.049686    -0.171374          0.013478     -0.275348   \n",
       "127  -4.913599     0.052655    -0.268555         -0.080084     -0.260950   \n",
       "128  -4.377131     0.047218    -0.120455          0.047278     -0.004621   \n",
       "129  -6.244175     0.062103    -0.113861         -0.092320     -0.133442   \n",
       "130  -3.155185     0.075828    -0.214080         -0.230710     -0.305007   \n",
       "131  -7.928674     0.057538    -0.112770          0.028131     -0.093207   \n",
       "132  -6.244939     0.051390    -0.015431          0.043950     -0.296125   \n",
       "133  -3.609330     0.041717    -0.100996          0.108017     -0.125055   \n",
       "134  -4.336464     0.049376    -0.083000         -0.125166     -0.059411   \n",
       "135  -5.101493     0.069224    -0.178341         -0.002898     -0.394466   \n",
       "136  -5.642381     0.054385    -0.144140         -0.112675     -0.131423   \n",
       "137  -5.561869     0.048571    -0.061659         -0.017956     -0.296871   \n",
       "138  -6.018140     0.049679    -0.034720          0.162657     -0.297761   \n",
       "139  -3.593641     0.054672    -0.165763          0.021520     -0.305818   \n",
       "140  -4.147631     0.047350     0.075870          0.289577     -0.365226   \n",
       "141  -5.128424     0.050350    -0.022919          0.184865     -0.247546   \n",
       "142  -5.420253     0.051657    -0.104114         -0.008684     -0.287672   \n",
       "143  -5.063924     0.036970     0.059305          0.001988     -0.153848   \n",
       "144  -3.600815     0.041983     0.032649          0.017095     -0.105063   \n",
       "145  -2.126744     0.060663    -0.009969          0.026982     -0.247191   \n",
       "146  -3.537782     0.044637    -0.113057          0.105484     -0.310012   \n",
       "147  -3.143271     0.044010     0.080483          0.341788     -0.200528   \n",
       "148  -2.150689     0.050278     0.127314          0.269947     -0.268610   \n",
       "149  -3.011732     0.048090    -0.091278         -0.009957     -0.160702   \n",
       "150  -3.151260     0.051442     0.145726          0.426857     -0.395677   \n",
       "151  -1.470550     0.044547     0.038053          0.330172     -0.403013   \n",
       "152  -3.325596     0.056520     0.189128          0.453958     -0.464881   \n",
       "153   1.761444     0.064121     0.128559         -0.133594      0.028327   \n",
       "154   1.031370     0.054832    -0.069702          0.158370      0.153088   \n",
       "155   1.776549     0.060706    -0.196249          0.176717      0.171950   \n",
       "156   1.805041     0.063180    -0.050132          0.095626     -0.039320   \n",
       "157   0.510090     0.057830    -0.651840          0.377990     -0.230106   \n",
       "158   0.772191     0.060716    -0.224269          0.275090     -0.050772   \n",
       "159   1.119547     0.061490    -0.123291          0.143294     -0.247737   \n",
       "160   0.756953     0.052973    -0.386299          0.233756     -0.013834   \n",
       "161   0.549417     0.074992    -0.071116          0.197846     -0.204629   \n",
       "162   1.702881     0.068116    -0.052326          0.065083     -0.234469   \n",
       "163   0.407939     0.039795     0.088807          0.025971     -0.324010   \n",
       "164  -0.784796     0.065181    -0.353398          0.084390     -0.237614   \n",
       "165  -1.076818     0.067271    -0.244071          0.317563     -0.001395   \n",
       "166   0.316810     0.068742     0.072804          0.039218     -0.291569   \n",
       "167  -0.143610     0.059981    -0.236816          0.199900     -0.078904   \n",
       "168  -2.513263     0.068069    -0.133196          0.166422     -0.210315   \n",
       "169  -5.389905     0.054240     0.244504         -0.302815     -0.454651   \n",
       "170  -1.398668     0.058765    -0.084993          0.004566     -0.365868   \n",
       "171  -1.616158     0.064086     0.117066         -0.117532     -0.397068   \n",
       "172  -5.320642     0.067218    -0.107411          0.167884     -0.362553   \n",
       "173  -2.878529     0.062569     0.082358          0.021966     -0.454610   \n",
       "174  -3.758782     0.129833     0.868880          0.319819     -0.829842   \n",
       "175  -3.003036     0.074312     0.490582         -0.090673     -0.456344   \n",
       "176  -5.139698     0.094110     0.571233          0.164916     -0.595523   \n",
       "177  -6.030203     0.064971     0.151680          0.068110     -0.237842   \n",
       "178   0.118532     0.074848    -0.185472          0.285768     -0.121228   \n",
       "179  -2.975487     0.078828     0.134040          0.098495     -0.411125   \n",
       "180  -4.646433     0.111281     0.222494          0.133869     -0.431350   \n",
       "181 -10.641468     0.049673     0.191035          0.127138     -0.409902   \n",
       "182  -5.379820     0.072534     0.170686         -0.048343     -0.226368   \n",
       "183  -1.303586     0.081757     0.013039          0.143772     -0.401737   \n",
       "184  -2.477709     0.079264     0.279971          0.061286     -0.341785   \n",
       "185  -2.149620     0.073270     0.099119         -0.027265     -0.441205   \n",
       "186  -4.554703     0.078572     0.106742         -0.187243     -0.249010   \n",
       "187  -2.511711     0.072275     0.068282          0.073556     -0.191888   \n",
       "188  -4.508334     0.098334     0.596430         -0.099731     -0.028942   \n",
       "189  -4.269274     0.046139     0.060850         -0.047778      0.135817   \n",
       "190  -7.072703     0.071102     0.377821         -0.006044     -0.195810   \n",
       "191  -1.653254     0.100460     0.054811         -0.125963     -0.466803   \n",
       "192  -5.240083     0.087243     0.292824         -0.462277      0.114338   \n",
       "193  -4.948063     0.062508     0.115456         -0.389616      0.072444   \n",
       "194 -10.097625     0.083652     0.178491         -0.013072     -0.132089   \n",
       "195  -9.692630     0.166947     0.258503          0.103438      0.113899   \n",
       "196  -0.942527     0.047639    -0.047951         -0.183205     -0.325879   \n",
       "197   2.453828     0.045153    -0.063618          0.007492     -0.494296   \n",
       "198   3.148443     0.040609    -0.061040         -0.209788     -0.438894   \n",
       "199   2.390055     0.049831    -0.037805         -0.019266     -0.287191   \n",
       "200   2.569842     0.264318    -0.106255         -0.143242     -0.203295   \n",
       "201   3.131553     0.044349    -0.065946          0.006083     -0.329549   \n",
       "202   2.521374     0.044781     0.061312         -0.081088     -0.234505   \n",
       "203   2.787032     0.049917     0.140132         -0.129122     -0.333439   \n",
       "204   3.939011     0.057823    -0.225443          0.019047     -0.389000   \n",
       "205   2.578071     0.050692     0.093604         -0.094981     -0.232512   \n",
       "206   3.590089     0.049525     0.093789         -0.202344     -0.148456   \n",
       "207   2.238823     0.051357     0.184682         -0.241171     -0.207930   \n",
       "208   2.668644     0.050450     0.159575         -0.148989     -0.356641   \n",
       "209   2.456525     0.049603    -0.034494         -0.186106     -0.148137   \n",
       "210   2.477931     0.054257     0.022932          0.004286     -0.440617   \n",
       "211   3.303246     0.055221    -0.014569         -0.300394     -0.218213   \n",
       "212   2.959519     0.050930     0.013512         -0.365489     -0.031242   \n",
       "213   3.956855     0.045869    -0.063917         -0.164916     -0.391738   \n",
       "214   3.473838     0.042663    -0.121959         -0.164281     -0.224362   \n",
       "215   3.875544     0.047792    -0.020930         -0.332489     -0.315325   \n",
       "216   3.858117     0.049242    -0.279525         -0.263590     -0.322205   \n",
       "217   3.709855     0.054636    -0.069757         -0.252721     -0.393970   \n",
       "218   5.633114     0.070415    -0.093611         -0.331213     -0.259449   \n",
       "219   4.413171     0.056292    -0.266073         -0.187506     -0.127327   \n",
       "220   4.676230     0.067783    -0.138933         -0.372466      0.091255   \n",
       "221   0.328285     0.038155     0.005606         -0.175570     -0.461445   \n",
       "222   1.860059     0.036400    -0.030376         -0.212683     -0.292616   \n",
       "223   1.500431     0.044455     0.143726         -0.107835     -0.476314   \n",
       "224   2.174298     0.052407    -0.026098         -0.122226     -0.235409   \n",
       "225   1.993255     0.047485    -0.093971         -0.186453     -0.302215   \n",
       "226   0.952528     0.038114     0.029176         -0.093009     -0.213897   \n",
       "227   1.716461     0.053584     0.124227         -0.230324     -0.493582   \n",
       "228   1.710435     0.050203    -0.032549         -0.024231     -0.177054   \n",
       "229   2.076090     0.049568     0.028903         -0.062253     -0.417360   \n",
       "230   1.500200     0.048199    -0.171138         -0.069297     -0.415757   \n",
       "231   1.224790     0.041398    -0.066126         -0.072579     -0.380609   \n",
       "232   2.527183     0.047876     0.060582         -0.145277     -0.509149   \n",
       "233   3.027558     0.042821    -0.007189         -0.384090     -0.444114   \n",
       "234   2.171477     0.047665    -0.085996         -0.207134     -0.429794   \n",
       "235   2.498277     0.044103    -0.162731         -0.223013     -0.444123   \n",
       "236   2.350053     0.044450    -0.222406         -0.331832     -0.280386   \n",
       "237   3.121310     0.054173     0.016180         -0.209771     -0.301854   \n",
       "238   2.485784     0.055471     0.012342         -0.315063     -0.362693   \n",
       "239   2.671230     0.056481    -0.036746         -0.334362     -0.310204   \n",
       "240   2.291378     0.066221     0.158412         -0.150338     -0.023055   \n",
       "241   2.257035     0.054277    -0.017437         -0.220825     -0.212073   \n",
       "242   3.388009     0.050441    -0.082759         -0.283453     -0.356736   \n",
       "243   4.173505     0.283407    -0.034252         -0.228199     -0.339360   \n",
       "244   5.849991     0.047047     0.046000          0.036756     -0.368909   \n",
       "245   5.290631     0.118314     0.194464          0.168661     -0.209321   \n",
       "246   7.999856     0.068080    -0.111149         -0.107958     -0.119531   \n",
       "247   6.768308     0.090556     0.069413          0.076962     -0.348546   \n",
       "248   4.174293     0.056180    -0.160240         -0.175041     -0.104685   \n",
       "249   5.695849     0.065692    -0.157852         -0.125262     -0.194389   \n",
       "250   3.323685     0.061424    -0.186427         -0.176029     -0.345861   \n",
       "251   3.734500     0.052695     0.087096         -0.017889     -0.293792   \n",
       "252   2.823563     0.045405    -0.040007         -0.226903      0.002894   \n",
       "253   3.152704     0.053959     0.186567          0.097483     -0.110110   \n",
       "254   2.460051     0.061053     0.113274         -0.168030     -0.189720   \n",
       "255   2.966309     0.053476     0.048182         -0.055465     -0.354437   \n",
       "256   2.841002     0.055739     0.213648          0.190149     -0.410970   \n",
       "257  -2.804482     0.039858     0.213558         -0.057465     -0.522367   \n",
       "258  -7.875164     0.048130     0.254234         -0.068738     -0.258667   \n",
       "259  -8.316635     0.069976     0.378647         -0.154348     -0.397156   \n",
       "260  -2.766595     0.052587     0.326735         -0.007060     -0.572988   \n",
       "261  -2.286722     0.056479     0.520148         -0.144479     -0.538861   \n",
       "262  -2.249064     0.052382     0.127097         -0.256127     -0.332331   \n",
       "263  -2.126723     0.040511    -0.143793         -0.027481     -0.597400   \n",
       "264  -1.673648     0.181443    -0.065277         -0.095168     -0.255252   \n",
       "265  -1.834233     0.212242     0.198531         -0.158781     -0.299355   \n",
       "266  -2.357867     0.048704     0.156355         -0.068291     -0.313620   \n",
       "267  -1.793203     0.053808     0.083659         -0.042753     -0.160970   \n",
       "268  -1.131056     0.077868     0.115941         -0.233015      0.034332   \n",
       "269  -5.107998     0.516575     0.128120         -0.220849     -0.336036   \n",
       "270  -3.920177     0.066383     0.085785         -0.069011     -0.764871   \n",
       "271  -3.589887     0.055132     0.054336         -0.135792     -0.754964   \n",
       "272  -7.031011     0.081583    -0.333456         -0.197613     -0.039754   \n",
       "273  -1.588256     0.083782    -0.133968          0.065801     -0.515460   \n",
       "274  -6.318977     0.056524     0.330403         -0.114795     -0.390770   \n",
       "275  -1.288958     0.055441     0.170595         -0.495099     -0.452151   \n",
       "276  -0.647527     0.040574     0.082088         -0.030391     -0.499784   \n",
       "277  -0.747901     0.049640     0.089436         -0.082318     -0.408743   \n",
       "278   0.453068     0.051084     0.247006          0.135754     -0.489392   \n",
       "279  -4.109973     0.112670     0.190097         -0.152340     -0.332379   \n",
       "280  -2.014414     0.050599     0.125267         -0.223051     -0.318687   \n",
       "281  -0.265789     0.054600     0.285398         -0.161152     -0.461605   \n",
       "282  -3.986843     0.060099     0.070831         -0.108017     -0.564343   \n",
       "\n",
       "     ra_pmdec_corr  dec_parallax_corr  dec_pmra_corr  dec_pmdec_corr  \\\n",
       "0         0.218720          -0.147387       0.286678        0.234164   \n",
       "1         0.173735          -0.207661       0.155967       -0.193123   \n",
       "2         0.295306          -0.214594       0.256130       -0.358896   \n",
       "3         0.593149          -0.034634       0.557429       -0.662452   \n",
       "4         0.429484          -0.125715       0.389858       -0.514798   \n",
       "5         0.349426          -0.064305       0.303177       -0.357060   \n",
       "6         0.263833          -0.626090      -0.114470       -0.527359   \n",
       "7        -0.347534          -0.348437      -0.193819       -0.530985   \n",
       "8        -0.027558          -0.600227       0.286718       -0.588284   \n",
       "9         0.014999          -0.443224       0.147717       -0.296959   \n",
       "10       -0.304299          -0.117206      -0.281126       -0.407730   \n",
       "11        0.030188           0.221873       0.064804       -0.127849   \n",
       "12       -0.081163           0.298215      -0.031068       -0.359129   \n",
       "13        0.039121           0.179028       0.089079       -0.060538   \n",
       "14        0.038109           0.004471       0.050554       -0.277457   \n",
       "15        0.000738           0.051498       0.012845       -0.263327   \n",
       "16       -0.006690           0.079051       0.022847       -0.304645   \n",
       "17        0.036419           0.318383       0.110854       -0.302316   \n",
       "18        0.053915           0.191438       0.108183       -0.376753   \n",
       "19       -0.009106          -0.046084       0.010175       -0.249246   \n",
       "20       -0.052501           0.091966      -0.018987       -0.136345   \n",
       "21       -0.317742           0.000044      -0.329172       -0.140514   \n",
       "22       -0.254797          -0.055188      -0.209945       -0.320668   \n",
       "23       -0.467223          -0.212215      -0.503354       -0.211769   \n",
       "24        0.075107          -0.200410       0.154506       -0.753328   \n",
       "25        0.290480          -0.274729       0.018340       -0.833919   \n",
       "26       -0.126132          -0.376826      -0.277813       -0.812255   \n",
       "27        0.499675          -0.108401       0.501893       -0.345183   \n",
       "28        0.440174          -0.376086       0.247983       -0.575088   \n",
       "29        0.207709          -0.183751       0.198614       -0.413873   \n",
       "30       -0.081515          -0.071631      -0.115468       -0.795574   \n",
       "31        0.082977          -0.268065      -0.185103       -0.794336   \n",
       "32       -0.008174          -0.362685      -0.128818       -0.856847   \n",
       "33       -0.136858          -0.078635      -0.171227       -0.841814   \n",
       "34       -0.153399          -0.263691      -0.240222       -0.829325   \n",
       "35        0.201762          -0.055560       0.123974       -0.673624   \n",
       "36       -0.092755          -0.191054      -0.114594       -0.793689   \n",
       "37        0.316878          -0.160586       0.308340        0.278638   \n",
       "38       -0.104731          -0.282199      -0.144221       -0.637544   \n",
       "39        0.388370          -0.156678       0.350144       -0.514140   \n",
       "40        0.293206          -0.158333       0.261080       -0.388941   \n",
       "41        0.551397          -0.157019       0.545461       -0.343073   \n",
       "42        0.397926          -0.197718       0.259368       -0.583207   \n",
       "43        0.115747          -0.026712       0.070506       -0.313903   \n",
       "44        0.201312          -0.123798       0.130450       -0.351472   \n",
       "45        0.091737          -0.392251       0.009124       -0.397504   \n",
       "46        0.208619           0.011436       0.160393       -0.497535   \n",
       "47        0.129015          -0.148422       0.107157       -0.499027   \n",
       "48        0.150221          -0.059080       0.121969       -0.421384   \n",
       "49        0.145531          -0.016292       0.104546       -0.215308   \n",
       "50        0.122235          -0.130450       0.078341       -0.450324   \n",
       "51        0.005336           0.072171      -0.031330       -0.218446   \n",
       "52        0.044934           0.128827      -0.019622       -0.166427   \n",
       "53        0.016209          -0.114550      -0.046002       -0.485098   \n",
       "54        0.056515          -0.020702       0.016021       -0.048563   \n",
       "55        0.093391           0.001963       0.054317       -0.296880   \n",
       "56        0.289828          -0.058862       0.256613       -0.472942   \n",
       "57       -0.175416          -0.137839      -0.210974       -0.331033   \n",
       "58       -0.104724          -0.003051      -0.094958        0.127396   \n",
       "59       -0.162503          -0.048342      -0.178675       -0.344642   \n",
       "60       -0.040234          -0.158820      -0.075166       -0.202104   \n",
       "61        0.330102          -0.022295       0.317843       -0.081147   \n",
       "62        0.148416          -0.019740       0.082223       -0.414797   \n",
       "63       -0.205483          -0.126500      -0.229530       -0.359509   \n",
       "64        0.036860          -0.110443       0.068956       -0.457649   \n",
       "65        0.388119           0.157707       0.396676       -0.466697   \n",
       "66        0.355149           0.033005       0.256843       -0.390336   \n",
       "67        0.231012           0.119553       0.319927       -0.316779   \n",
       "68        0.146651          -0.117290       0.146649       -0.325282   \n",
       "69        0.176069          -0.132552       0.168431       -0.363039   \n",
       "70       -0.146886          -0.059364      -0.188611       -0.068974   \n",
       "71        0.150166          -0.172851       0.050960        0.102332   \n",
       "72        0.334589          -0.003806       0.235705       -0.229466   \n",
       "73       -0.222742          -0.374511      -0.304565       -0.238548   \n",
       "74       -0.060474           0.037522      -0.064921       -0.053111   \n",
       "75       -0.277038           0.184033      -0.380577       -0.071529   \n",
       "76       -0.104677          -0.188615      -0.168122       -0.659557   \n",
       "77        0.154927          -0.088336       0.077797       -0.231589   \n",
       "78        0.236194          -0.193672       0.210349       -0.293485   \n",
       "79        0.141597           0.082258       0.097719       -0.313466   \n",
       "80        0.160560           0.009062       0.153528       -0.357079   \n",
       "81        0.187739          -0.174183       0.117719       -0.016865   \n",
       "82        0.186718          -0.119104       0.158052       -0.300294   \n",
       "83        0.127964          -0.094636       0.105368       -0.518456   \n",
       "84        0.075490           0.035541       0.039725       -0.229568   \n",
       "85        0.068745          -0.180540       0.049843       -0.332678   \n",
       "86       -0.164468           0.222254      -0.032646       -0.580086   \n",
       "87        0.174837           0.113577       0.142490       -0.152796   \n",
       "88        0.089409           0.257697       0.019309       -0.180898   \n",
       "89        0.067653           0.037369       0.087804       -0.595210   \n",
       "90        0.173212           0.131704       0.268947       -0.505285   \n",
       "91       -0.122163           0.011690      -0.156104       -0.708991   \n",
       "92        0.063062           0.213415       0.014886       -0.394209   \n",
       "93       -0.047115           0.286059      -0.067482       -0.356168   \n",
       "94       -0.101716           0.214091      -0.126828       -0.442064   \n",
       "95       -0.203861           0.106931      -0.238222       -0.274065   \n",
       "96       -0.000488           0.165982       0.041621       -0.446865   \n",
       "97       -0.091397           0.159722      -0.091231       -0.370026   \n",
       "98       -0.006144           0.184223       0.003140       -0.112862   \n",
       "99       -0.051590           0.332578      -0.120704       -0.282904   \n",
       "100      -0.236993           0.273523      -0.317736       -0.092081   \n",
       "101      -0.157405           0.269303      -0.210490       -0.229239   \n",
       "102       0.250485           0.161458       0.192940       -0.469987   \n",
       "103       0.089898           0.189502      -0.005010       -0.420036   \n",
       "104      -0.101284           0.293943      -0.194358       -0.117435   \n",
       "105      -0.030563           0.323449      -0.109241       -0.108304   \n",
       "106      -0.103896           0.267197      -0.177813       -0.056476   \n",
       "107      -0.109074           0.417816      -0.275936       -0.099041   \n",
       "108      -0.059555           0.141032      -0.121077       -0.269046   \n",
       "109      -0.033989           0.270999       0.013797       -0.359972   \n",
       "110      -0.203366           0.434851      -0.364633        0.026534   \n",
       "111       0.155659           0.255504       0.062085       -0.286769   \n",
       "112       0.066645           0.097266       0.026120       -0.157296   \n",
       "113      -0.079150           0.307391      -0.170372       -0.275055   \n",
       "114       0.092979           0.211184       0.033862       -0.346232   \n",
       "115       0.128012           0.219525       0.006390       -0.164278   \n",
       "116       0.072466           0.112179      -0.014264       -0.260109   \n",
       "117       0.155711          -0.030271       0.162927       -0.408167   \n",
       "118       0.079447           0.244898      -0.001830       -0.208079   \n",
       "119      -0.015312           0.225329      -0.131363       -0.167451   \n",
       "120       0.174822           0.341308       0.143711       -0.425315   \n",
       "121       0.116230           0.218812       0.083324       -0.509304   \n",
       "122       0.029612           0.150955      -0.033965       -0.140165   \n",
       "123      -0.034777           0.095693      -0.068906       -0.212043   \n",
       "124       0.050735           0.008364       0.018283       -0.067988   \n",
       "125      -0.044292           0.169232      -0.080057       -0.308093   \n",
       "126       0.063842           0.056211       0.052380       -0.291347   \n",
       "127       0.038417           0.257740      -0.011602       -0.311839   \n",
       "128       0.004472           0.158660      -0.053041       -0.233764   \n",
       "129       0.031711          -0.013216       0.046526       -0.536884   \n",
       "130       0.092279           0.260710       0.024158       -0.262096   \n",
       "131       0.053973           0.196955       0.083953       -0.358387   \n",
       "132      -0.054915           0.146865      -0.067860       -0.470198   \n",
       "133      -0.131026           0.008075      -0.124474       -0.327290   \n",
       "134      -0.036921           0.165101      -0.092117       -0.282756   \n",
       "135       0.109245           0.337821       0.046938       -0.577649   \n",
       "136       0.003673           0.199546      -0.046324       -0.226040   \n",
       "137       0.016537           0.289192      -0.041510       -0.286938   \n",
       "138       0.035309           0.157476       0.008070       -0.422914   \n",
       "139       0.082022           0.068157       0.082819       -0.320605   \n",
       "140      -0.103035           0.175430      -0.130050       -0.405971   \n",
       "141      -0.100368           0.285124      -0.128593       -0.319138   \n",
       "142       0.037978           0.341398       0.040648       -0.447217   \n",
       "143      -0.226750           0.239832      -0.252694       -0.195674   \n",
       "144      -0.097532           0.256291      -0.146989       -0.279604   \n",
       "145      -0.152858           0.231340      -0.200793       -0.262542   \n",
       "146       0.039041           0.447328      -0.040637       -0.197467   \n",
       "147      -0.037963           0.299870      -0.091422       -0.175151   \n",
       "148      -0.075887           0.282441      -0.129770       -0.186437   \n",
       "149      -0.036026           0.274451      -0.054295       -0.205349   \n",
       "150      -0.098648           0.122447      -0.198437       -0.336345   \n",
       "151      -0.096938           0.240564      -0.159215       -0.165639   \n",
       "152      -0.098924           0.262782      -0.214691       -0.329212   \n",
       "153       0.303781           0.237162       0.464114       -0.266122   \n",
       "154       0.254095           0.134324       0.313040       -0.161127   \n",
       "155       0.372094           0.015817       0.438413        0.270920   \n",
       "156       0.140561          -0.494638       0.026922       -0.243454   \n",
       "157       0.247487          -0.338400       0.301004       -0.240771   \n",
       "158       0.336965           0.086104       0.334754       -0.432998   \n",
       "159       0.176300          -0.068425       0.194614       -0.355499   \n",
       "160       0.168365          -0.272944       0.050577       -0.246009   \n",
       "161       0.101257          -0.334020       0.042831       -0.135347   \n",
       "162       0.170667          -0.317194       0.151260       -0.244003   \n",
       "163       0.049617          -0.356190      -0.017048       -0.435388   \n",
       "164       0.391889          -0.341448       0.288132       -0.357831   \n",
       "165       0.375854          -0.561940       0.062337       -0.370203   \n",
       "166       0.072809          -0.432769       0.006676       -0.355962   \n",
       "167       0.247208          -0.419339       0.143258       -0.254118   \n",
       "168       0.181357          -0.383018       0.069943       -0.452406   \n",
       "169       0.100130           0.155675       0.206974       -0.423784   \n",
       "170       0.126083          -0.370025       0.051976       -0.520887   \n",
       "171      -0.033038          -0.580307      -0.168911       -0.615441   \n",
       "172       0.100114          -0.497240      -0.087257       -0.538706   \n",
       "173      -0.201048          -0.316117      -0.148826       -0.501096   \n",
       "174      -0.842656           0.198030      -0.801089       -0.864686   \n",
       "175      -0.465149          -0.310522      -0.316285       -0.589274   \n",
       "176      -0.508365          -0.019388      -0.477728       -0.650906   \n",
       "177      -0.216226          -0.353252      -0.115594       -0.358894   \n",
       "178       0.019116          -0.499168      -0.060585       -0.399106   \n",
       "179      -0.184577          -0.614407       0.177250       -0.575490   \n",
       "180      -0.354966          -0.317958      -0.198828       -0.579318   \n",
       "181      -0.225656          -0.100064      -0.227233        0.402803   \n",
       "182      -0.175554          -0.470933      -0.092783       -0.234426   \n",
       "183      -0.131358          -0.556960       0.117787       -0.456854   \n",
       "184      -0.310543          -0.394503      -0.193566       -0.425284   \n",
       "185      -0.099459          -0.224229      -0.137305       -0.343992   \n",
       "186      -0.180131          -0.142081      -0.103895       -0.395170   \n",
       "187      -0.259384          -0.284345      -0.180945       -0.252454   \n",
       "188      -0.239627          -0.075245      -0.187944       -0.213195   \n",
       "189      -0.170072           0.158526      -0.224073        0.039275   \n",
       "190      -0.287910          -0.138991      -0.196918       -0.388362   \n",
       "191       0.098358           0.050932       0.063088       -0.367666   \n",
       "192      -0.082631          -0.288819       0.065497       -0.292887   \n",
       "193      -0.356129          -0.193048      -0.438611        0.032782   \n",
       "194      -0.144583          -0.415754      -0.046691       -0.383805   \n",
       "195      -0.427685          -0.073229      -0.412756       -0.085009   \n",
       "196       0.023829           0.200794       0.099845       -0.154074   \n",
       "197       0.010548           0.289568       0.068825       -0.513265   \n",
       "198       0.001607           0.188609       0.087496       -0.230164   \n",
       "199       0.066481           0.214770       0.091362       -0.220220   \n",
       "200       0.079124           0.090470       0.119761       -0.069843   \n",
       "201       0.096789           0.099908       0.113755       -0.279189   \n",
       "202      -0.078694           0.327420       0.021619       -0.195361   \n",
       "203      -0.098620           0.133138      -0.064487       -0.362678   \n",
       "204       0.231081           0.106456       0.254501       -0.333419   \n",
       "205       0.071171           0.338115       0.105360       -0.223576   \n",
       "206       0.092409           0.169040       0.147112        0.022124   \n",
       "207       0.187351           0.155444       0.246256        0.040076   \n",
       "208      -0.077490           0.328495      -0.025474       -0.262310   \n",
       "209       0.171383           0.394120       0.257347       -0.191986   \n",
       "210       0.006658           0.281588      -0.012475       -0.495220   \n",
       "211       0.122138           0.184330       0.264695       -0.297347   \n",
       "212       0.151805           0.264187       0.113497       -0.131731   \n",
       "213       0.060626           0.326147       0.115961       -0.175485   \n",
       "214       0.138215           0.191909       0.171350       -0.176469   \n",
       "215       0.003580           0.233202       0.026598       -0.397549   \n",
       "216       0.284841           0.162445       0.327630       -0.322847   \n",
       "217       0.123893           0.305185       0.163908       -0.399525   \n",
       "218       0.094029           0.181569       0.099443       -0.622356   \n",
       "219       0.210989           0.272083       0.242390       -0.431694   \n",
       "220       0.012653           0.443752       0.033742       -0.203011   \n",
       "221      -0.031270           0.162848       0.048377       -0.319505   \n",
       "222      -0.014442           0.186242       0.045122       -0.245804   \n",
       "223      -0.117738           0.278793      -0.032431       -0.365793   \n",
       "224       0.124145           0.050533       0.161603       -0.150498   \n",
       "225       0.002381           0.051275       0.079521       -0.405010   \n",
       "226       0.029767           0.057242       0.058760       -0.214044   \n",
       "227      -0.147648           0.106478      -0.112166       -0.627789   \n",
       "228       0.064682          -0.010573       0.064632       -0.092365   \n",
       "229       0.062690           0.015625       0.082946       -0.382124   \n",
       "230       0.041315           0.197703       0.074231       -0.165333   \n",
       "231       0.035211           0.155559       0.073653       -0.258611   \n",
       "232      -0.028593           0.284341       0.073833       -0.196720   \n",
       "233      -0.068775           0.249641       0.094092       -0.220202   \n",
       "234       0.034579           0.183312       0.119309       -0.392973   \n",
       "235       0.119687           0.258658       0.188184       -0.296621   \n",
       "236       0.021366           0.307000       0.158274       -0.105974   \n",
       "237      -0.094926           0.119573      -0.034918       -0.327618   \n",
       "238       0.050664           0.269040       0.210953       -0.103644   \n",
       "239       0.039077           0.255935       0.170042       -0.249958   \n",
       "240       0.133712           0.174933       0.149946       -0.034268   \n",
       "241       0.066356           0.395419       0.179757       -0.122794   \n",
       "242       0.125271           0.235277       0.248557       -0.135661   \n",
       "243       0.117055           0.281810       0.178406       -0.186477   \n",
       "244       0.154090           0.250774       0.146561       -0.430686   \n",
       "245      -0.007567           0.299270       0.037558       -0.245868   \n",
       "246       0.038084           0.121041       0.051234       -0.537322   \n",
       "247       0.001834           0.280847       0.084544       -0.344318   \n",
       "248       0.127925           0.378393       0.212820       -0.175128   \n",
       "249       0.237412           0.336511       0.259454       -0.572537   \n",
       "250       0.079943           0.411820       0.136746       -0.132764   \n",
       "251       0.046618           0.173163       0.058197       -0.244205   \n",
       "252      -0.006707           0.155170       0.111341       -0.234282   \n",
       "253       0.008212           0.178470       0.037356       -0.191646   \n",
       "254       0.193626          -0.085339       0.157613       -0.048677   \n",
       "255      -0.012686           0.304006       0.068288       -0.395243   \n",
       "256      -0.093747           0.312946      -0.050151       -0.150917   \n",
       "257      -0.178613          -0.077766      -0.205077       -0.336261   \n",
       "258      -0.141287          -0.055522      -0.114071       -0.398264   \n",
       "259      -0.310156          -0.439949      -0.175001       -0.779251   \n",
       "260      -0.252947           0.114447      -0.331332       -0.328114   \n",
       "261      -0.370207           0.001136      -0.417359       -0.352279   \n",
       "262      -0.250529           0.053625      -0.184023       -0.395392   \n",
       "263       0.064422          -0.128200       0.106298       -0.369436   \n",
       "264       0.101831          -0.082613       0.134002       -0.185887   \n",
       "265      -0.122275          -0.042358      -0.068962       -0.046891   \n",
       "266      -0.040187           0.165408       0.008793       -0.250281   \n",
       "267       0.182687          -0.200822       0.270693       -0.216461   \n",
       "268       0.171834          -0.217908       0.268898       -0.407984   \n",
       "269      -0.104028          -0.211681      -0.047674       -0.377642   \n",
       "270      -0.204189          -0.029210      -0.156561       -0.283480   \n",
       "271      -0.022398          -0.039586      -0.028349       -0.521546   \n",
       "272       0.132597           0.229665       0.082926       -0.205758   \n",
       "273       0.108114          -0.444913       0.199689       -0.689450   \n",
       "274      -0.272564          -0.404961      -0.117470       -0.756980   \n",
       "275      -0.324006           0.116385      -0.202725       -0.410083   \n",
       "276      -0.058177           0.044184      -0.044458       -0.516382   \n",
       "277      -0.020874          -0.072392      -0.029429       -0.511968   \n",
       "278       0.033244           0.430803       0.013446        0.059007   \n",
       "279      -0.042516          -0.165625      -0.025774       -0.196440   \n",
       "280      -0.035147          -0.211705      -0.014210       -0.489433   \n",
       "281      -0.178161          -0.251756      -0.177155       -0.520463   \n",
       "282      -0.062909          -0.210847      -0.002640       -0.566472   \n",
       "\n",
       "     parallax_pmra_corr  parallax_pmdec_corr  pmra_pmdec_corr  \\\n",
       "0              0.224604            -0.336551        -0.097901   \n",
       "1              0.098129             0.084549        -0.195096   \n",
       "2              0.138864             0.006980        -0.271378   \n",
       "3              0.313230            -0.097404        -0.417467   \n",
       "4              0.304966             0.026777        -0.319968   \n",
       "5              0.271323             0.140147        -0.082573   \n",
       "6              0.401834             0.265664        -0.027726   \n",
       "7             -0.247060             0.279546         0.185662   \n",
       "8             -0.502533             0.403551        -0.254740   \n",
       "9             -0.175709             0.214681         0.067221   \n",
       "10            -0.223628            -0.088532         0.066299   \n",
       "11             0.118496            -0.167620         0.212059   \n",
       "12             0.108392            -0.052133         0.072805   \n",
       "13             0.201243            -0.080055         0.079986   \n",
       "14             0.110344            -0.033385         0.168405   \n",
       "15             0.150299            -0.084614         0.218966   \n",
       "16             0.240064            -0.007178        -0.120853   \n",
       "17             0.231369            -0.157749        -0.072824   \n",
       "18             0.296703            -0.136310        -0.144414   \n",
       "19             0.290924            -0.188094        -0.187376   \n",
       "20             0.226841            -0.130981        -0.110847   \n",
       "21             0.157906             0.074419        -0.544447   \n",
       "22            -0.025368             0.233823        -0.374249   \n",
       "23             0.018530            -0.008183         0.251985   \n",
       "24            -0.097501             0.260298        -0.292321   \n",
       "25             0.095309             0.406768         0.111865   \n",
       "26             0.217397             0.365459         0.148601   \n",
       "27             0.255944             0.078516        -0.054835   \n",
       "28             0.323226             0.298587        -0.263815   \n",
       "29             0.086206             0.207978        -0.076068   \n",
       "30             0.118782             0.177322         0.210244   \n",
       "31             0.046815             0.387694         0.235325   \n",
       "32             0.240279             0.394111         0.170489   \n",
       "33             0.193198             0.169847         0.220881   \n",
       "34             0.290149             0.345597         0.402148   \n",
       "35             0.256609             0.297617         0.058521   \n",
       "36             0.160358             0.310434         0.171253   \n",
       "37             0.073516            -0.137963         0.001275   \n",
       "38            -0.071164             0.086996         0.218163   \n",
       "39            -0.071590             0.334227         0.231944   \n",
       "40            -0.053247             0.181546         0.071751   \n",
       "41             0.027228             0.114439        -0.316761   \n",
       "42            -0.389294             0.340640        -0.543219   \n",
       "43            -0.206765             0.186474        -0.247944   \n",
       "44            -0.203807             0.300680        -0.245824   \n",
       "45            -0.057695             0.259780        -0.752580   \n",
       "46            -0.145017             0.180842        -0.392567   \n",
       "47            -0.106456             0.190381        -0.317832   \n",
       "48            -0.048320             0.189876        -0.251942   \n",
       "49            -0.248010             0.156867        -0.366967   \n",
       "50            -0.225160             0.294976        -0.132852   \n",
       "51            -0.158860             0.054568        -0.178117   \n",
       "52            -0.244024             0.161513        -0.192721   \n",
       "53            -0.279218             0.271498        -0.112210   \n",
       "54            -0.239140             0.132604        -0.167868   \n",
       "55            -0.119981             0.208464        -0.213707   \n",
       "56            -0.368898             0.322309        -0.427852   \n",
       "57             0.332314             0.071704         0.419784   \n",
       "58             0.071895             0.026622         0.274481   \n",
       "59             0.168991             0.178844         0.189750   \n",
       "60             0.247300             0.021314         0.354265   \n",
       "61            -0.210420             0.227044         0.238142   \n",
       "62            -0.051094             0.248611         0.210154   \n",
       "63             0.050122             0.128609         0.341949   \n",
       "64             0.010092             0.192431        -0.118876   \n",
       "65             0.183427             0.127745        -0.037443   \n",
       "66             0.018167             0.290510         0.035524   \n",
       "67             0.289871             0.164163         0.079802   \n",
       "68            -0.026855             0.173038         0.320978   \n",
       "69            -0.066072             0.176650         0.077617   \n",
       "70             0.136399             0.171812         0.160324   \n",
       "71            -0.141594             0.066746        -0.705974   \n",
       "72             0.124103            -0.182465        -0.742765   \n",
       "73             0.302917             0.283259         0.518650   \n",
       "74             0.182846             0.023642         0.069743   \n",
       "75            -0.176271             0.132882        -0.280135   \n",
       "76             0.271429             0.086380        -0.058789   \n",
       "77            -0.246978             0.382584        -0.492519   \n",
       "78            -0.073720             0.144820        -0.592591   \n",
       "79            -0.037247             0.160095        -0.373218   \n",
       "80            -0.023895             0.292998        -0.472541   \n",
       "81             0.123996            -0.084607        -0.591132   \n",
       "82             0.046688             0.171012        -0.346255   \n",
       "83            -0.083458             0.241697        -0.380134   \n",
       "84            -0.228528             0.249126        -0.294410   \n",
       "85            -0.115814             0.280032        -0.253928   \n",
       "86            -0.051018            -0.313097        -0.076916   \n",
       "87            -0.247976            -0.136583         0.148311   \n",
       "88            -0.133679            -0.233885         0.134065   \n",
       "89            -0.246220            -0.137321        -0.034933   \n",
       "90             0.005599            -0.135601        -0.638913   \n",
       "91            -0.277317             0.050247        -0.057145   \n",
       "92            -0.281926            -0.047437        -0.209323   \n",
       "93            -0.039873            -0.024060        -0.102932   \n",
       "94            -0.069318             0.100213        -0.020755   \n",
       "95            -0.146943            -0.012398        -0.010151   \n",
       "96            -0.059091            -0.106124        -0.271100   \n",
       "97            -0.021527             0.005033        -0.174077   \n",
       "98            -0.058772            -0.135814        -0.111632   \n",
       "99            -0.197637             0.026245        -0.079743   \n",
       "100           -0.202487             0.004040        -0.077094   \n",
       "101           -0.131258            -0.099470        -0.071868   \n",
       "102           -0.168463             0.150264        -0.269904   \n",
       "103           -0.303805             0.140338        -0.213955   \n",
       "104           -0.311881             0.027693        -0.143376   \n",
       "105           -0.248633            -0.035723        -0.170221   \n",
       "106           -0.216436             0.101723        -0.179561   \n",
       "107           -0.285130             0.059608        -0.110551   \n",
       "108           -0.214597             0.117118        -0.150032   \n",
       "109           -0.107976            -0.184228        -0.231845   \n",
       "110           -0.495053             0.077843        -0.153449   \n",
       "111           -0.306538             0.092792        -0.189720   \n",
       "112           -0.171330             0.197548         0.107127   \n",
       "113           -0.277273             0.029192         0.079018   \n",
       "114           -0.168492             0.066728        -0.097822   \n",
       "115           -0.222567             0.324451        -0.172183   \n",
       "116           -0.299736             0.149413        -0.155848   \n",
       "117           -0.116387             0.211485        -0.135286   \n",
       "118           -0.212817             0.170694        -0.074231   \n",
       "119           -0.309259             0.159648        -0.013789   \n",
       "120           -0.024915             0.108167        -0.203752   \n",
       "121           -0.130196            -0.026125        -0.172628   \n",
       "122           -0.137723             0.232116        -0.130879   \n",
       "123           -0.177706             0.243135        -0.031114   \n",
       "124           -0.310927             0.087020        -0.022914   \n",
       "125           -0.213073             0.036463         0.002627   \n",
       "126           -0.154613            -0.077917        -0.115193   \n",
       "127           -0.141440             0.031325        -0.143449   \n",
       "128           -0.244194            -0.056873        -0.035354   \n",
       "129           -0.198796             0.167812        -0.144154   \n",
       "130           -0.095993            -0.204450        -0.082698   \n",
       "131           -0.051678            -0.225865        -0.237467   \n",
       "132           -0.163526            -0.093647        -0.071316   \n",
       "133           -0.111998            -0.024595        -0.154348   \n",
       "134           -0.302601             0.072321        -0.000793   \n",
       "135           -0.151287            -0.115253        -0.184875   \n",
       "136           -0.192559            -0.054565        -0.105645   \n",
       "137           -0.194902            -0.096440        -0.006036   \n",
       "138           -0.171860            -0.014985        -0.045007   \n",
       "139           -0.030910            -0.137979        -0.187915   \n",
       "140           -0.335557            -0.080599        -0.013040   \n",
       "141           -0.123022            -0.079850        -0.108348   \n",
       "142           -0.014862            -0.208372        -0.207603   \n",
       "143           -0.154203            -0.028047        -0.000488   \n",
       "144           -0.211143            -0.103453         0.013747   \n",
       "145           -0.190976            -0.008608        -0.096214   \n",
       "146           -0.161534             0.038071        -0.152267   \n",
       "147           -0.186120            -0.007158        -0.035579   \n",
       "148           -0.169921            -0.018843        -0.000747   \n",
       "149           -0.057666            -0.046942        -0.060194   \n",
       "150           -0.278555             0.123697        -0.016924   \n",
       "151           -0.211623             0.002000        -0.086713   \n",
       "152           -0.343087             0.033794        -0.064750   \n",
       "153            0.369636            -0.418477        -0.261877   \n",
       "154            0.413549            -0.049444        -0.158885   \n",
       "155            0.273159            -0.250304        -0.276762   \n",
       "156            0.154984             0.030799         0.143455   \n",
       "157           -0.088288            -0.084076         0.054369   \n",
       "158            0.504979             0.062591        -0.137146   \n",
       "159            0.144523            -0.088321         0.049257   \n",
       "160            0.188676             0.157360        -0.103142   \n",
       "161            0.081716             0.085644        -0.042693   \n",
       "162            0.046508            -0.021255         0.032517   \n",
       "163            0.187102             0.107468         0.127651   \n",
       "164            0.174179            -0.033466        -0.191972   \n",
       "165            0.342581             0.253067         0.023170   \n",
       "166            0.122436             0.141402         0.126315   \n",
       "167            0.160612             0.093142        -0.133403   \n",
       "168            0.199538             0.310043        -0.131752   \n",
       "169            0.534557             0.046706        -0.157813   \n",
       "170            0.204175             0.284088        -0.069446   \n",
       "171            0.339137             0.465200         0.167560   \n",
       "172            0.265167             0.298625         0.097254   \n",
       "173           -0.249053             0.245700        -0.013355   \n",
       "174           -0.486790            -0.258983         0.814648   \n",
       "175           -0.290148             0.054784         0.313523   \n",
       "176           -0.300364            -0.032167         0.550380   \n",
       "177           -0.299005             0.239510         0.212224   \n",
       "178           -0.105908             0.342871         0.119982   \n",
       "179           -0.523247             0.290938        -0.009984   \n",
       "180           -0.435904             0.129777         0.236592   \n",
       "181           -0.241038            -0.385651         0.204260   \n",
       "182           -0.117784             0.050533         0.126206   \n",
       "183           -0.445962             0.255420         0.035432   \n",
       "184           -0.184798            -0.007223         0.164759   \n",
       "185            0.042482            -0.200237        -0.183032   \n",
       "186           -0.364618             0.083302         0.101145   \n",
       "187           -0.245831             0.124463         0.179973   \n",
       "188           -0.258695            -0.023239         0.470286   \n",
       "189           -0.476381            -0.135257         0.139242   \n",
       "190           -0.413904             0.047385         0.315276   \n",
       "191            0.154772            -0.237071        -0.169912   \n",
       "192           -0.311609             0.109402         0.109418   \n",
       "193           -0.044184            -0.115703        -0.000207   \n",
       "194           -0.212922             0.200035         0.161474   \n",
       "195           -0.166191            -0.389717         0.257756   \n",
       "196            0.218211             0.156634         0.010515   \n",
       "197            0.202955             0.025673        -0.115020   \n",
       "198            0.186296             0.264132        -0.027791   \n",
       "199            0.044910            -0.048714         0.075725   \n",
       "200            0.324053             0.122004        -0.095519   \n",
       "201            0.116409             0.243361        -0.097491   \n",
       "202            0.299477            -0.002472        -0.039208   \n",
       "203            0.164071             0.086912         0.181388   \n",
       "204            0.093170             0.048329        -0.059307   \n",
       "205            0.125987            -0.074863         0.254531   \n",
       "206            0.192255            -0.013368         0.200716   \n",
       "207            0.220222             0.039943         0.261966   \n",
       "208            0.126591            -0.053116         0.301780   \n",
       "209            0.306917            -0.069727         0.091620   \n",
       "210           -0.063729            -0.091106         0.132587   \n",
       "211            0.392264             0.216317         0.175578   \n",
       "212            0.119558            -0.163993         0.268147   \n",
       "213            0.145806            -0.046767         0.055095   \n",
       "214            0.153535            -0.088575         0.010209   \n",
       "215            0.169360            -0.016456         0.197864   \n",
       "216            0.189948             0.037639        -0.212934   \n",
       "217            0.161600            -0.039924         0.059799   \n",
       "218            0.275866             0.038353         0.127907   \n",
       "219            0.249286            -0.033480        -0.174918   \n",
       "220           -0.032052             0.045347        -0.029334   \n",
       "221            0.301148             0.185756         0.055422   \n",
       "222            0.062669             0.201610        -0.031107   \n",
       "223            0.254737             0.072778         0.180630   \n",
       "224            0.048647             0.148603        -0.074983   \n",
       "225            0.183666             0.273577        -0.121589   \n",
       "226            0.108266             0.181266         0.085837   \n",
       "227            0.024853             0.119413         0.107494   \n",
       "228            0.181237             0.117536        -0.067782   \n",
       "229            0.228103             0.220883         0.097294   \n",
       "230            0.165138            -0.024331        -0.157194   \n",
       "231            0.253043             0.014996        -0.054132   \n",
       "232            0.312603             0.078853         0.141582   \n",
       "233            0.365770             0.200726         0.060805   \n",
       "234            0.213130             0.199751        -0.041251   \n",
       "235            0.202931             0.094024        -0.103522   \n",
       "236            0.237860             0.205563        -0.203588   \n",
       "237            0.146563             0.221078         0.057147   \n",
       "238            0.324653             0.183921         0.198375   \n",
       "239            0.308213             0.142751         0.095749   \n",
       "240            0.101131            -0.048259         0.223754   \n",
       "241            0.299496            -0.016583         0.135611   \n",
       "242            0.267894             0.171071         0.137342   \n",
       "243            0.224142            -0.080907         0.165871   \n",
       "244            0.035273            -0.079893         0.215249   \n",
       "245            0.105643            -0.062191         0.140571   \n",
       "246            0.167120             0.129212        -0.033868   \n",
       "247            0.240977            -0.145994         0.102255   \n",
       "248            0.284988            -0.059823        -0.029334   \n",
       "249            0.303989            -0.193709        -0.044467   \n",
       "250            0.139242            -0.081296        -0.035681   \n",
       "251           -0.001552            -0.159241         0.114694   \n",
       "252            0.129830             0.212883        -0.126422   \n",
       "253            0.072656            -0.048447         0.091135   \n",
       "254            0.225713            -0.289948         0.092056   \n",
       "255            0.290113            -0.120424        -0.096298   \n",
       "256            0.069468            -0.084360         0.172940   \n",
       "257           -0.115999             0.343732        -0.078903   \n",
       "258           -0.004067             0.199226         0.149296   \n",
       "259           -0.027774             0.456733         0.174711   \n",
       "260           -0.211893             0.346867         0.031077   \n",
       "261           -0.144830             0.174512        -0.111542   \n",
       "262            0.025980             0.301004         0.214701   \n",
       "263            0.089252             0.483221        -0.005692   \n",
       "264            0.145845             0.256072        -0.065609   \n",
       "265            0.317152             0.307240         0.345013   \n",
       "266            0.176711             0.217833         0.374325   \n",
       "267           -0.277241             0.024052         0.084127   \n",
       "268           -0.251488             0.056613         0.016881   \n",
       "269           -0.021107             0.241103         0.039096   \n",
       "270           -0.018855             0.207723         0.040479   \n",
       "271            0.047560             0.198781        -0.040627   \n",
       "272           -0.218451             0.073250        -0.142533   \n",
       "273           -0.245611             0.378009        -0.306988   \n",
       "274           -0.246772             0.446243         0.165455   \n",
       "275            0.161215             0.281768         0.305953   \n",
       "276            0.119644             0.184217         0.165450   \n",
       "277            0.100555             0.199499         0.325945   \n",
       "278            0.008293             0.215659         0.219702   \n",
       "279            0.191400             0.237809         0.233724   \n",
       "280            0.248877             0.332267         0.271437   \n",
       "281            0.313371             0.416752         0.454377   \n",
       "282            0.035770             0.244581         0.321936   \n",
       "\n",
       "     astrometric_n_obs_al  astrometric_n_obs_ac  astrometric_n_good_obs_al  \\\n",
       "0                     203                   203                        201   \n",
       "1                     142                   142                        141   \n",
       "2                     133                   133                        130   \n",
       "3                     116                   116                        116   \n",
       "4                     119                   119                        115   \n",
       "5                     142                   142                        141   \n",
       "6                     151                   151                        149   \n",
       "7                     128                   128                        128   \n",
       "8                     125                   125                        123   \n",
       "9                     124                   124                        122   \n",
       "10                    141                   141                        138   \n",
       "11                    301                   301                        295   \n",
       "12                    320                   320                        314   \n",
       "13                    300                   300                        298   \n",
       "14                    331                   331                        327   \n",
       "15                    317                   317                        305   \n",
       "16                    350                   350                        340   \n",
       "17                    306                   245                        300   \n",
       "18                    472                    27                        467   \n",
       "19                    340                   340                        318   \n",
       "20                    306                   306                        301   \n",
       "21                    553                   553                        545   \n",
       "22                    517                   517                        511   \n",
       "23                    261                   261                        252   \n",
       "24                    229                   229                        227   \n",
       "25                    247                   247                        246   \n",
       "26                    303                   303                        299   \n",
       "27                    161                   161                        159   \n",
       "28                    150                   150                        149   \n",
       "29                    150                   150                        149   \n",
       "30                    256                    60                        255   \n",
       "31                    228                    26                        228   \n",
       "32                    224                   224                        221   \n",
       "33                    184                   184                        180   \n",
       "34                    230                   230                        215   \n",
       "35                    245                   245                        219   \n",
       "36                    188                   188                        178   \n",
       "37                    255                   255                        247   \n",
       "38                    187                   187                        187   \n",
       "39                    445                   445                        436   \n",
       "40                    308                   308                        301   \n",
       "41                    348                   348                        347   \n",
       "42                    423                   423                        420   \n",
       "43                    366                   366                        355   \n",
       "44                    356                   356                        352   \n",
       "45                    907                     9                        899   \n",
       "46                    393                    89                        390   \n",
       "47                    366                   366                        353   \n",
       "48                    344                   344                        337   \n",
       "49                    335                   335                        329   \n",
       "50                    319                   319                        302   \n",
       "51                    317                     0                        314   \n",
       "52                    341                   341                        335   \n",
       "53                    264                   264                        262   \n",
       "54                    299                   299                        286   \n",
       "55                    363                   363                        353   \n",
       "56                    309                   309                        294   \n",
       "57                    244                   244                        231   \n",
       "58                    221                   221                        218   \n",
       "59                    249                   249                        238   \n",
       "60                    211                   211                        211   \n",
       "61                    418                   418                        396   \n",
       "62                    356                   356                        339   \n",
       "63                    416                   416                        399   \n",
       "64                    518                   518                        506   \n",
       "65                    354                   354                        351   \n",
       "66                    336                   336                        328   \n",
       "67                    345                   345                        303   \n",
       "68                    364                   364                        351   \n",
       "69                    336                   318                        333   \n",
       "70                    289                   289                        288   \n",
       "71                    667                   667                        635   \n",
       "72                    646                    97                        643   \n",
       "73                    233                   233                        213   \n",
       "74                    291                   291                        289   \n",
       "75                    342                   342                        340   \n",
       "76                    348                   348                        343   \n",
       "77                    362                   362                        335   \n",
       "78                    386                   386                        382   \n",
       "79                    315                   315                        312   \n",
       "80                    304                   304                        293   \n",
       "81                    175                   175                        175   \n",
       "82                    366                   366                        344   \n",
       "83                    372                   372                        351   \n",
       "84                    319                   319                        301   \n",
       "85                    354                   354                        345   \n",
       "86                    199                   199                        197   \n",
       "87                    328                   328                        321   \n",
       "88                    388                   388                        343   \n",
       "89                    293                   293                        289   \n",
       "90                    725                   725                        644   \n",
       "91                    339                   339                        301   \n",
       "92                    340                   340                        315   \n",
       "93                    294                   294                        287   \n",
       "94                    304                   304                        297   \n",
       "95                    293                   293                        286   \n",
       "96                    275                   275                        271   \n",
       "97                    336                   336                        281   \n",
       "98                    299                   299                        299   \n",
       "99                    242                   242                        241   \n",
       "100                   240                   240                        233   \n",
       "101                   218                   218                        209   \n",
       "102                   319                   319                        310   \n",
       "103                   284                   284                        280   \n",
       "104                   258                     9                        255   \n",
       "105                   233                   233                        230   \n",
       "106                   232                   232                        231   \n",
       "107                   215                   215                        206   \n",
       "108                   239                   239                        237   \n",
       "109                   231                   231                        229   \n",
       "110                   255                   255                        252   \n",
       "111                   259                   259                        253   \n",
       "112                   292                   292                        282   \n",
       "113                   245                   245                        239   \n",
       "114                   322                   322                        313   \n",
       "115                   292                   292                        288   \n",
       "116                   320                   320                        314   \n",
       "117                   302                   302                        296   \n",
       "118                   260                   260                        252   \n",
       "119                   278                   278                        277   \n",
       "120                   225                   225                        204   \n",
       "121                   232                   232                        224   \n",
       "122                   257                   257                        250   \n",
       "123                   254                   254                        251   \n",
       "124                   297                   297                        287   \n",
       "125                   328                   328                        327   \n",
       "126                   306                   306                        304   \n",
       "127                   277                   277                        269   \n",
       "128                   294                   294                        288   \n",
       "129                   288                   288                        277   \n",
       "130                   310                   310                        302   \n",
       "131                   256                   256                        253   \n",
       "132                   299                   299                        286   \n",
       "133                   282                    63                        278   \n",
       "134                   240                   240                        238   \n",
       "135                   230                   230                        229   \n",
       "136                   283                   283                        281   \n",
       "137                   267                   267                        265   \n",
       "138                   237                   219                        236   \n",
       "139                   241                   241                        238   \n",
       "140                   244                   244                        238   \n",
       "141                   222                   222                        213   \n",
       "142                   228                   228                        227   \n",
       "143                   218                    35                        218   \n",
       "144                   238                   238                        233   \n",
       "145                   239                   239                        236   \n",
       "146                   252                   252                        249   \n",
       "147                   246                   246                        241   \n",
       "148                   241                   241                        236   \n",
       "149                   233                   233                        229   \n",
       "150                   219                   219                        216   \n",
       "151                   241                   241                        237   \n",
       "152                   223                   223                        223   \n",
       "153                   330                   303                        326   \n",
       "154                   217                   217                        211   \n",
       "155                   480                   480                        475   \n",
       "156                   196                   196                        191   \n",
       "157                   292                    18                        288   \n",
       "158                   187                   160                        183   \n",
       "159                   167                   158                        164   \n",
       "160                   302                   249                        293   \n",
       "161                   133                   133                        129   \n",
       "162                   179                   179                        175   \n",
       "163                   150                     8                        150   \n",
       "164                   170                   170                        168   \n",
       "165                   153                   153                        153   \n",
       "166                   138                   138                        138   \n",
       "167                   161                   161                        160   \n",
       "168                   156                   156                        155   \n",
       "169                   382                   382                        369   \n",
       "170                   170                   170                        166   \n",
       "171                   168                   168                        167   \n",
       "172                   161                   161                        160   \n",
       "173                   160                   160                        158   \n",
       "174                   151                   151                        150   \n",
       "175                   165                   165                        163   \n",
       "176                   141                   141                        138   \n",
       "177                   178                   178                        175   \n",
       "178                   145                   145                        143   \n",
       "179                   151                   151                        149   \n",
       "180                   162                   162                        146   \n",
       "181                   257                   257                        250   \n",
       "182                   167                   167                        166   \n",
       "183                   142                   142                        142   \n",
       "184                   148                   148                        145   \n",
       "185                   168                   168                        164   \n",
       "186                   112                   112                        112   \n",
       "187                   177                   177                        175   \n",
       "188                   211                   211                        208   \n",
       "189                   256                   256                        248   \n",
       "190                   156                   156                        155   \n",
       "191                   113                   113                        113   \n",
       "192                   159                   159                        159   \n",
       "193                   241                   241                        233   \n",
       "194                   138                   138                        135   \n",
       "195                   393                   393                        353   \n",
       "196                   239                   239                        235   \n",
       "197                   254                   254                        254   \n",
       "198                   284                   284                        279   \n",
       "199                   263                   263                        255   \n",
       "200                   283                   283                        274   \n",
       "201                   281                   281                        276   \n",
       "202                   252                   252                        248   \n",
       "203                   250                   250                        242   \n",
       "204                   209                   209                        208   \n",
       "205                   227                   227                        223   \n",
       "206                   236                   236                        231   \n",
       "207                   274                   274                        271   \n",
       "208                   218                   218                        215   \n",
       "209                   216                   216                        213   \n",
       "210                   220                   220                        217   \n",
       "211                   223                   223                        213   \n",
       "212                   245                   245                        233   \n",
       "213                   238                   238                        227   \n",
       "214                   239                   239                        237   \n",
       "215                   254                   254                        245   \n",
       "216                   248                   248                        236   \n",
       "217                   219                   219                        216   \n",
       "218                   168                   168                        166   \n",
       "219                   203                   203                        201   \n",
       "220                   202                   202                        198   \n",
       "221                   305                   305                        299   \n",
       "222                   292                   292                        287   \n",
       "223                   297                   297                        296   \n",
       "224                   313                   313                        308   \n",
       "225                   268                   268                        265   \n",
       "226                   326                   326                        314   \n",
       "227                   260                   260                        252   \n",
       "228                   298                   298                        295   \n",
       "229                   296                   296                        292   \n",
       "230                   222                   222                        222   \n",
       "231                   287                   287                        285   \n",
       "232                   287                   287                        282   \n",
       "233                   265                   265                        261   \n",
       "234                   351                   351                        322   \n",
       "235                   288                   288                        285   \n",
       "236                   269                   269                        268   \n",
       "237                   237                   237                        234   \n",
       "238                   207                   207                        207   \n",
       "239                   261                   261                        259   \n",
       "240                   243                   243                        240   \n",
       "241                   236                   236                        233   \n",
       "242                   232                   232                        230   \n",
       "243                   213                   213                        210   \n",
       "244                   391                   391                        379   \n",
       "245                   267                   267                        246   \n",
       "246                   213                   213                        211   \n",
       "247                   237                   237                        215   \n",
       "248                   206                   206                        206   \n",
       "249                   216                   216                        211   \n",
       "250                   205                   205                        198   \n",
       "251                   264                   264                        261   \n",
       "252                   302                   302                        299   \n",
       "253                   288                   288                        288   \n",
       "254                   298                   298                        297   \n",
       "255                   354                   354                        351   \n",
       "256                   258                   258                        257   \n",
       "257                   333                   333                        324   \n",
       "258                   468                   468                        460   \n",
       "259                   386                   386                        378   \n",
       "260                   315                   315                        312   \n",
       "261                   428                   428                        410   \n",
       "262                   283                   283                        281   \n",
       "263                   313                   313                        292   \n",
       "264                   263                   263                        244   \n",
       "265                   497                   497                        485   \n",
       "266                   361                   361                        356   \n",
       "267                   460                   460                        459   \n",
       "268                   339                   339                        338   \n",
       "269                   684                   684                        673   \n",
       "270                   345                   345                        342   \n",
       "271                   415                   415                        414   \n",
       "272                   230                   230                        227   \n",
       "273                   148                   148                        146   \n",
       "274                   268                   268                        266   \n",
       "275                   263                   263                        256   \n",
       "276                   347                   347                        337   \n",
       "277                   312                   312                        310   \n",
       "278                   231                   231                        226   \n",
       "279                   416                   416                        377   \n",
       "280                   358                   358                        354   \n",
       "281                   315                   315                        312   \n",
       "282                   368                   368                        356   \n",
       "\n",
       "     astrometric_n_bad_obs_al  astrometric_gof_al  astrometric_chi2_al  \\\n",
       "0                           2            4.977538            311.08228   \n",
       "1                           1            3.184199            194.71649   \n",
       "2                           3           10.108301            361.26785   \n",
       "3                           0            2.108103            144.66902   \n",
       "4                           4            4.838814            197.52570   \n",
       "5                           1            5.807553            255.01018   \n",
       "6                           2            5.947554            269.33890   \n",
       "7                           0            5.892739            239.46541   \n",
       "8                           2            3.516376            179.79796   \n",
       "9                           2            2.963149            167.58440   \n",
       "10                          3            0.995202            149.17964   \n",
       "11                          6            6.938499            490.30447   \n",
       "12                          6            8.191267            559.64710   \n",
       "13                          2            8.467171            548.46564   \n",
       "14                          4            3.503799            418.55743   \n",
       "15                         12           10.140772            622.17633   \n",
       "16                         10           12.276540            762.68140   \n",
       "17                          6           10.600927            633.57110   \n",
       "18                          5            0.516487            477.19680   \n",
       "19                         22           10.873013            670.36060   \n",
       "20                          5            7.099184            503.55740   \n",
       "21                          8           13.027777           1090.18750   \n",
       "22                          6            7.177959            769.53394   \n",
       "23                          9            5.163854            379.57864   \n",
       "24                          2           11.864092            576.31060   \n",
       "25                          1            8.623780            483.17750   \n",
       "26                          4            6.448983            478.82098   \n",
       "27                          2            6.571914            299.48618   \n",
       "28                          1            1.122100            163.16875   \n",
       "29                          1            2.625897            192.50775   \n",
       "30                          1           -1.884509            209.59103   \n",
       "31                          0           -3.001239            164.88728   \n",
       "32                          3            1.748374            253.67244   \n",
       "33                          4            6.363354            322.08047   \n",
       "34                         15           13.280380            615.31150   \n",
       "35                         26           84.809500          11122.62100   \n",
       "36                         10           19.247416            832.88620   \n",
       "37                          8            6.620218            417.85660   \n",
       "38                          0            2.147576            225.35516   \n",
       "39                          9            9.778857            785.57970   \n",
       "40                          7            7.312889            511.00375   \n",
       "41                          1            2.935170            423.88168   \n",
       "42                          3            8.991188            730.69320   \n",
       "43                         11            2.150584            409.29770   \n",
       "44                          4            5.863434            524.64044   \n",
       "45                          8           -5.066524            695.85650   \n",
       "46                          3           -1.739331            338.11252   \n",
       "47                         13            9.094126            646.27070   \n",
       "48                          7            8.882199            616.49500   \n",
       "49                          6            3.280615            414.10560   \n",
       "50                         17            9.546684            594.66150   \n",
       "51                          3            0.471131            320.17760   \n",
       "52                          6            8.094954            583.73193   \n",
       "53                          2            8.004847            483.53583   \n",
       "54                         13           16.049616            857.63995   \n",
       "55                         10            8.796550            634.48200   \n",
       "56                         15           15.776467            857.04346   \n",
       "57                         13           10.260104            520.67520   \n",
       "58                          3           10.058620            494.19360   \n",
       "59                         11           10.770044            550.21295   \n",
       "60                          0            2.770369            266.71146   \n",
       "61                         22           15.027351            978.52484   \n",
       "62                         17           14.614834            870.75600   \n",
       "63                         17            5.655881            574.19165   \n",
       "64                         12            8.412189            816.32184   \n",
       "65                          3           15.412789            929.14795   \n",
       "66                          8            8.546517            591.55835   \n",
       "67                         42           84.864200          10872.66400   \n",
       "68                         13           12.385860            783.64480   \n",
       "69                          3           11.423852            715.09827   \n",
       "70                          1           -0.406458            272.78873   \n",
       "71                         32           22.333760           1800.45200   \n",
       "72                          3            0.059977            639.47690   \n",
       "73                         20            5.397046            337.71738   \n",
       "74                          2            3.806085            383.89413   \n",
       "75                          2            6.867665            545.13934   \n",
       "76                          5            3.990591            451.92440   \n",
       "77                         27           21.883677           1270.26180   \n",
       "78                          4            4.457467            512.30334   \n",
       "79                          3            5.482324            462.99176   \n",
       "80                         11           15.767091            854.96230   \n",
       "81                          0            1.669751            201.93614   \n",
       "82                         22            4.958615            484.35397   \n",
       "83                         21           11.776431            756.32020   \n",
       "84                         18           17.187988            940.62930   \n",
       "85                          9           12.662953            787.47784   \n",
       "86                          2            5.783389            328.13776   \n",
       "87                          7            3.892433            423.49158   \n",
       "88                         45           52.273006           4328.96300   \n",
       "89                          4            5.024321            420.49435   \n",
       "90                         81           46.585403           4167.82700   \n",
       "91                         38           44.551914           3238.39330   \n",
       "92                         25           10.232583            639.88640   \n",
       "93                          7            4.347716            397.52823   \n",
       "94                          7            9.569371            588.61050   \n",
       "95                          7            4.285104            394.48166   \n",
       "96                          4           10.040365            570.18036   \n",
       "97                         55           37.438137           2418.05150   \n",
       "98                          0            6.861128            492.78888   \n",
       "99                          1            0.550728            247.47946   \n",
       "100                         7            9.783538            506.09250   \n",
       "101                         9           10.290219            489.24094   \n",
       "102                         9            6.477334            493.65942   \n",
       "103                         4            6.306051            450.05850   \n",
       "104                         3            0.441359            259.31580   \n",
       "105                         3            2.763151            288.06586   \n",
       "106                         1            1.724696            263.94632   \n",
       "107                         9            5.606354            334.72570   \n",
       "108                         2            5.461946            369.75280   \n",
       "109                         2            6.743878            398.22852   \n",
       "110                         3            8.355872            482.11240   \n",
       "111                         6            7.867826            466.71616   \n",
       "112                        10            9.962905            582.80100   \n",
       "113                         6            2.105188            281.80533   \n",
       "114                         9           10.407101            644.13983   \n",
       "115                         4            6.185654            456.22623   \n",
       "116                         6            9.092052            593.58340   \n",
       "117                         6            6.651479            481.83300   \n",
       "118                         8           12.845187            655.34640   \n",
       "119                         1            5.474124            419.80573   \n",
       "120                        21           11.741911            535.89575   \n",
       "121                         8            8.824789            459.37866   \n",
       "122                         7           12.110256            621.48990   \n",
       "123                         3           11.522263            599.09406   \n",
       "124                        10           13.972279            759.69750   \n",
       "125                         1           11.125657            693.78450   \n",
       "126                         2            6.016947            470.69138   \n",
       "127                         8            6.421686            439.82095   \n",
       "128                         6            8.077324            520.94073   \n",
       "129                        11           16.209345            850.85046   \n",
       "130                         8           31.865805           1944.94360   \n",
       "131                         3            2.982820            319.74820   \n",
       "132                        13           16.188044            864.56335   \n",
       "133                         4            9.137273            545.94507   \n",
       "134                         2            5.073810            359.69604   \n",
       "135                         1            6.984062            405.73580   \n",
       "136                         2           19.385605           1026.32930   \n",
       "137                         2            4.187452            366.81622   \n",
       "138                         1            3.206792            306.20517   \n",
       "139                         3            1.156853            258.16138   \n",
       "140                         6            9.910186            517.94920   \n",
       "141                         9            9.651269            472.32320   \n",
       "142                         1            5.760225            365.90836   \n",
       "143                         0           -0.369044            204.82327   \n",
       "144                         5            4.131594            327.24704   \n",
       "145                         3           13.046758            638.90027   \n",
       "146                         3            6.298744            410.32565   \n",
       "147                         5            6.502285            406.36844   \n",
       "148                         5           11.060230            558.40686   \n",
       "149                         4           10.092026            511.54462   \n",
       "150                         3            5.367282            340.66003   \n",
       "151                         4            8.933767            481.46580   \n",
       "152                         0            0.532152            228.61269   \n",
       "153                         4            2.084116            376.01407   \n",
       "154                         6            5.802683            346.71094   \n",
       "155                         5            3.038194            568.68120   \n",
       "156                         5           10.879393            483.37128   \n",
       "157                         4            4.755099            411.01532   \n",
       "158                         4            2.476344            228.14345   \n",
       "159                         3            2.854587            214.71475   \n",
       "160                         9            6.576016            475.47726   \n",
       "161                         4            2.342407            163.86295   \n",
       "162                         4            3.619806            245.01073   \n",
       "163                         0            2.426989            189.58310   \n",
       "164                         2            3.498090            233.81964   \n",
       "165                         0            3.020042            205.44566   \n",
       "166                         0            2.829171            183.85568   \n",
       "167                         1            5.166569            263.97100   \n",
       "168                         1            2.017689            186.95854   \n",
       "169                        13            9.787754            696.07570   \n",
       "170                         4            8.255808            358.09260   \n",
       "171                         1            3.082864            223.24216   \n",
       "172                         1            2.452355            201.51645   \n",
       "173                         2           -0.228245            148.38782   \n",
       "174                         1            4.897588            244.47020   \n",
       "175                         2            1.409752            183.67055   \n",
       "176                         3            8.575284            326.39584   \n",
       "177                         3            6.272303            312.86377   \n",
       "178                         2            0.334826            142.95401   \n",
       "179                         2            4.956349            244.60153   \n",
       "180                        16           20.656680            847.90320   \n",
       "181                         7            4.273906            351.45828   \n",
       "182                         1            6.421044            304.87220   \n",
       "183                         0            5.494852            248.57670   \n",
       "184                         3            7.318285            300.52260   \n",
       "185                         4            5.278678            271.97592   \n",
       "186                         0            2.536226            147.72716   \n",
       "187                         2            0.079732            170.80480   \n",
       "188                         3            2.226053            250.47069   \n",
       "189                         8            8.439798            479.53592   \n",
       "190                         1            4.955089            252.28984   \n",
       "191                         0            3.826906            173.65564   \n",
       "192                         0            6.837085            306.79540   \n",
       "193                         8           10.416735            529.45123   \n",
       "194                         3            4.533235            216.71365   \n",
       "195                        40           65.832740           6571.56150   \n",
       "196                         4           -0.164255            225.83585   \n",
       "197                         0            2.692048            313.25888   \n",
       "198                         5            7.495084            488.58990   \n",
       "199                         8            5.700086            399.43370   \n",
       "200                         9           61.664043           5726.75200   \n",
       "201                         5            2.938739            344.55243   \n",
       "202                         4            3.882629            338.20563   \n",
       "203                         8            4.270917            341.82330   \n",
       "204                         1            4.263989            300.74088   \n",
       "205                         4            4.093554            314.28250   \n",
       "206                         5            4.441096            333.31375   \n",
       "207                         3            5.962863            427.68414   \n",
       "208                         3            4.076085            304.24637   \n",
       "209                         3            6.652201            374.33096   \n",
       "210                         3            4.644324            321.85162   \n",
       "211                        10            9.700293            474.05273   \n",
       "212                        12           11.183088            558.67004   \n",
       "213                        11           11.406555            558.29130   \n",
       "214                         2            6.227169            392.70224   \n",
       "215                         9           12.989443            650.59120   \n",
       "216                        12           10.234583            527.04790   \n",
       "217                         3            7.746649            412.45316   \n",
       "218                         2            1.563448            189.97081   \n",
       "219                         2            4.057615            286.95230   \n",
       "220                         4            3.560051            270.89685   \n",
       "221                         6            4.522024            417.00848   \n",
       "222                         5            4.291847            395.86246   \n",
       "223                         1            3.198098            374.38336   \n",
       "224                         5            7.003341            509.22382   \n",
       "225                         3            2.614518            323.52158   \n",
       "226                        12            3.215347            395.23657   \n",
       "227                         8            8.547338            488.78937   \n",
       "228                         3            5.966356            457.82250   \n",
       "229                         4            3.441411            376.79800   \n",
       "230                         0            1.945572            259.35577   \n",
       "231                         2            2.355072            338.75302   \n",
       "232                         5            5.280850            419.93457   \n",
       "233                         4            1.988816            302.94373   \n",
       "234                        29           15.610695            893.58185   \n",
       "235                         3            7.783356            506.53640   \n",
       "236                         1            5.871528            421.03943   \n",
       "237                         3           11.132762            558.22030   \n",
       "238                         0            1.637126            235.98468   \n",
       "239                         2            1.112257            279.19214   \n",
       "240                         3           11.506213            581.89954   \n",
       "241                         3            5.361027            361.80185   \n",
       "242                         2            1.797992            264.59350   \n",
       "243                         3           37.750877           2309.75830   \n",
       "244                        12            4.839166            521.74194   \n",
       "245                        21           43.868910           3053.17920   \n",
       "246                         2            7.587645            400.54288   \n",
       "247                        22           28.515162           1501.59720   \n",
       "248                         0            0.932194            219.56787   \n",
       "249                         5            4.127577            300.79300   \n",
       "250                         7            9.957960            461.00372   \n",
       "251                         3            4.964441            384.68872   \n",
       "252                         3            7.743856            523.61370   \n",
       "253                         0            3.520644            374.48970   \n",
       "254                         1            2.692793            361.25925   \n",
       "255                         3            4.991942            493.78552   \n",
       "256                         1            2.157066            302.84003   \n",
       "257                         9            8.766335            594.59930   \n",
       "258                         8            8.468964            760.33600   \n",
       "259                         8            7.745885            626.14124   \n",
       "260                         3            7.638018            536.85140   \n",
       "261                        18           11.669510            835.09656   \n",
       "262                         2            2.578891            340.36493   \n",
       "263                        21           12.938428            720.74550   \n",
       "264                        19           60.497940           5496.67600   \n",
       "265                        12          111.393570          18805.14500   \n",
       "266                         5            5.450761            515.27057   \n",
       "267                         1            5.616139            644.28735   \n",
       "268                         1            2.758777            408.62555   \n",
       "269                        11          387.923340         351735.40000   \n",
       "270                         3           10.181795            675.41046   \n",
       "271                         1            3.550235            518.39260   \n",
       "272                         3            7.510158            419.80838   \n",
       "273                         2            6.087583            268.89740   \n",
       "274                         2            3.605395            351.52972   \n",
       "275                         7            5.915886            407.32703   \n",
       "276                        10            3.948221            443.67535   \n",
       "277                         2            3.203570            390.37506   \n",
       "278                         5            7.710004            424.92093   \n",
       "279                        39           57.255010           5134.70850   \n",
       "280                         4            5.987528            531.40980   \n",
       "281                         3            3.560922            403.15958   \n",
       "282                        12            7.952664            605.72400   \n",
       "\n",
       "     astrometric_excess_noise  astrometric_excess_noise_sig  \\\n",
       "0                    0.000000                  0.000000e+00   \n",
       "1                    0.000000                  0.000000e+00   \n",
       "2                    0.000000                  9.877322e-01   \n",
       "3                    0.000000                  0.000000e+00   \n",
       "4                    0.000000                  0.000000e+00   \n",
       "5                    0.000000                  0.000000e+00   \n",
       "6                    0.000000                  0.000000e+00   \n",
       "7                    0.000000                  0.000000e+00   \n",
       "8                    0.000000                  0.000000e+00   \n",
       "9                    0.000000                  0.000000e+00   \n",
       "10                   0.000000                  0.000000e+00   \n",
       "11                   0.000000                  0.000000e+00   \n",
       "12                   0.000000                  0.000000e+00   \n",
       "13                   0.000000                  0.000000e+00   \n",
       "14                   0.000000                  0.000000e+00   \n",
       "15                   0.000000                  0.000000e+00   \n",
       "16                   0.000000                  0.000000e+00   \n",
       "17                   0.000000                  1.729690e-15   \n",
       "18                   0.000000                  0.000000e+00   \n",
       "19                   0.000000                  0.000000e+00   \n",
       "20                   0.000000                  0.000000e+00   \n",
       "21                   0.000000                  0.000000e+00   \n",
       "22                   0.000000                  0.000000e+00   \n",
       "23                   0.000000                  0.000000e+00   \n",
       "24                   0.000000                  0.000000e+00   \n",
       "25                   0.000000                  0.000000e+00   \n",
       "26                   0.000000                  0.000000e+00   \n",
       "27                   0.000000                  0.000000e+00   \n",
       "28                   0.000000                  0.000000e+00   \n",
       "29                   0.000000                  0.000000e+00   \n",
       "30                   0.000000                  0.000000e+00   \n",
       "31                   0.000000                  0.000000e+00   \n",
       "32                   0.000000                  9.580956e-16   \n",
       "33                   0.000000                  0.000000e+00   \n",
       "34                   0.000000                  9.127721e-01   \n",
       "35                   0.977361                  2.790395e+02   \n",
       "36                   0.135728                  6.695388e+00   \n",
       "37                   0.000000                  0.000000e+00   \n",
       "38                   0.000000                  0.000000e+00   \n",
       "39                   0.000000                  0.000000e+00   \n",
       "40                   0.000000                  0.000000e+00   \n",
       "41                   0.000000                  0.000000e+00   \n",
       "42                   0.000000                  0.000000e+00   \n",
       "43                   0.000000                  0.000000e+00   \n",
       "44                   0.000000                  0.000000e+00   \n",
       "45                   0.000000                  0.000000e+00   \n",
       "46                   0.000000                  0.000000e+00   \n",
       "47                   0.000000                  0.000000e+00   \n",
       "48                   0.000000                  0.000000e+00   \n",
       "49                   0.000000                  0.000000e+00   \n",
       "50                   0.000000                  0.000000e+00   \n",
       "51                   0.000000                  0.000000e+00   \n",
       "52                   0.000000                  0.000000e+00   \n",
       "53                   0.000000                  0.000000e+00   \n",
       "54                   0.077542                  2.273916e+00   \n",
       "55                   0.000000                  0.000000e+00   \n",
       "56                   0.000000                  0.000000e+00   \n",
       "57                   0.000000                  0.000000e+00   \n",
       "58                   0.000000                  0.000000e+00   \n",
       "59                   0.000000                  0.000000e+00   \n",
       "60                   0.000000                  0.000000e+00   \n",
       "61                   0.000000                  0.000000e+00   \n",
       "62                   0.000000                  0.000000e+00   \n",
       "63                   0.000000                  0.000000e+00   \n",
       "64                   0.000000                  0.000000e+00   \n",
       "65                   0.000000                  0.000000e+00   \n",
       "66                   0.000000                  0.000000e+00   \n",
       "67                   0.816728                  2.229629e+02   \n",
       "68                   0.000000                  0.000000e+00   \n",
       "69                   0.000000                  3.162852e-15   \n",
       "70                   0.000000                  0.000000e+00   \n",
       "71                   0.000000                  7.273094e-01   \n",
       "72                   0.000000                  0.000000e+00   \n",
       "73                   0.000000                  0.000000e+00   \n",
       "74                   0.000000                  0.000000e+00   \n",
       "75                   0.000000                  0.000000e+00   \n",
       "76                   0.000000                  0.000000e+00   \n",
       "77                   0.106138                  5.254384e+00   \n",
       "78                   0.000000                  0.000000e+00   \n",
       "79                   0.000000                  0.000000e+00   \n",
       "80                   0.000000                  0.000000e+00   \n",
       "81                   0.000000                  0.000000e+00   \n",
       "82                   0.000000                  3.027615e-15   \n",
       "83                   0.000000                  0.000000e+00   \n",
       "84                   0.068706                  1.957499e+00   \n",
       "85                   0.000000                  0.000000e+00   \n",
       "86                   0.000000                  0.000000e+00   \n",
       "87                   0.000000                  3.167760e-15   \n",
       "88                   0.356248                  6.074376e+01   \n",
       "89                   0.000000                  0.000000e+00   \n",
       "90                   0.236805                  3.921365e+01   \n",
       "91                   0.333981                  5.549521e+01   \n",
       "92                   0.000000                  0.000000e+00   \n",
       "93                   0.000000                  0.000000e+00   \n",
       "94                   0.000000                  0.000000e+00   \n",
       "95                   0.000000                  0.000000e+00   \n",
       "96                   0.000000                  0.000000e+00   \n",
       "97                   0.295876                  3.420177e+01   \n",
       "98                   0.000000                  0.000000e+00   \n",
       "99                   0.000000                  0.000000e+00   \n",
       "100                  0.000000                  0.000000e+00   \n",
       "101                  0.000000                  0.000000e+00   \n",
       "102                  0.000000                  1.609062e-15   \n",
       "103                  0.000000                  1.700041e-15   \n",
       "104                  0.000000                  0.000000e+00   \n",
       "105                  0.000000                  0.000000e+00   \n",
       "106                  0.000000                  0.000000e+00   \n",
       "107                  0.000000                  0.000000e+00   \n",
       "108                  0.000000                  0.000000e+00   \n",
       "109                  0.000000                  1.884341e-15   \n",
       "110                  0.000000                  0.000000e+00   \n",
       "111                  0.000000                  0.000000e+00   \n",
       "112                  0.000000                  0.000000e+00   \n",
       "113                  0.000000                  0.000000e+00   \n",
       "114                  0.000000                  0.000000e+00   \n",
       "115                  0.000000                  0.000000e+00   \n",
       "116                  0.000000                  0.000000e+00   \n",
       "117                  0.000000                  0.000000e+00   \n",
       "118                  0.000000                  0.000000e+00   \n",
       "119                  0.000000                  0.000000e+00   \n",
       "120                  0.000000                  7.090106e-01   \n",
       "121                  0.000000                  0.000000e+00   \n",
       "122                  0.000000                  0.000000e+00   \n",
       "123                  0.000000                  0.000000e+00   \n",
       "124                  0.000000                  0.000000e+00   \n",
       "125                  0.000000                  0.000000e+00   \n",
       "126                  0.000000                  1.634133e-15   \n",
       "127                  0.000000                  0.000000e+00   \n",
       "128                  0.000000                  0.000000e+00   \n",
       "129                  0.000000                  5.881132e-01   \n",
       "130                  0.221378                  2.047776e+01   \n",
       "131                  0.000000                  0.000000e+00   \n",
       "132                  0.000000                  9.643304e-01   \n",
       "133                  0.098051                  3.108649e+00   \n",
       "134                  0.000000                  0.000000e+00   \n",
       "135                  0.000000                  0.000000e+00   \n",
       "136                  0.097454                  4.340702e+00   \n",
       "137                  0.000000                  1.750894e-15   \n",
       "138                  0.000000                  0.000000e+00   \n",
       "139                  0.000000                  0.000000e+00   \n",
       "140                  0.000000                  1.840374e-15   \n",
       "141                  0.000000                  0.000000e+00   \n",
       "142                  0.000000                  0.000000e+00   \n",
       "143                  0.000000                  0.000000e+00   \n",
       "144                  0.000000                  0.000000e+00   \n",
       "145                  0.000000                  0.000000e+00   \n",
       "146                  0.000000                  0.000000e+00   \n",
       "147                  0.000000                  0.000000e+00   \n",
       "148                  0.000000                  3.700191e-15   \n",
       "149                  0.000000                  0.000000e+00   \n",
       "150                  0.000000                  0.000000e+00   \n",
       "151                  0.000000                  0.000000e+00   \n",
       "152                  0.000000                  0.000000e+00   \n",
       "153                  0.000000                  0.000000e+00   \n",
       "154                  0.000000                  0.000000e+00   \n",
       "155                  0.000000                  0.000000e+00   \n",
       "156                  0.000000                  0.000000e+00   \n",
       "157                  0.125601                  3.851516e+00   \n",
       "158                  0.000000                  1.093143e-15   \n",
       "159                  0.000000                  0.000000e+00   \n",
       "160                  0.000000                  0.000000e+00   \n",
       "161                  0.000000                  0.000000e+00   \n",
       "162                  0.000000                  0.000000e+00   \n",
       "163                  0.000000                  0.000000e+00   \n",
       "164                  0.000000                  1.101319e-15   \n",
       "165                  0.000000                  0.000000e+00   \n",
       "166                  0.000000                  0.000000e+00   \n",
       "167                  0.000000                  0.000000e+00   \n",
       "168                  0.000000                  0.000000e+00   \n",
       "169                  0.000000                  0.000000e+00   \n",
       "170                  0.000000                  0.000000e+00   \n",
       "171                  0.000000                  0.000000e+00   \n",
       "172                  0.000000                  0.000000e+00   \n",
       "173                  0.000000                  0.000000e+00   \n",
       "174                  0.000000                  0.000000e+00   \n",
       "175                  0.000000                  0.000000e+00   \n",
       "176                  0.000000                  0.000000e+00   \n",
       "177                  0.000000                  0.000000e+00   \n",
       "178                  0.000000                  0.000000e+00   \n",
       "179                  0.000000                  0.000000e+00   \n",
       "180                  0.206494                  1.262432e+01   \n",
       "181                  0.000000                  0.000000e+00   \n",
       "182                  0.000000                  0.000000e+00   \n",
       "183                  0.000000                  0.000000e+00   \n",
       "184                  0.000000                  0.000000e+00   \n",
       "185                  0.000000                  0.000000e+00   \n",
       "186                  0.000000                  1.358042e-15   \n",
       "187                  0.000000                  0.000000e+00   \n",
       "188                  0.000000                  0.000000e+00   \n",
       "189                  0.000000                  0.000000e+00   \n",
       "190                  0.000000                  0.000000e+00   \n",
       "191                  0.000000                  0.000000e+00   \n",
       "192                  0.000000                  0.000000e+00   \n",
       "193                  0.000000                  0.000000e+00   \n",
       "194                  0.000000                  0.000000e+00   \n",
       "195                  0.489952                  9.953280e+01   \n",
       "196                  0.000000                  0.000000e+00   \n",
       "197                  0.000000                  0.000000e+00   \n",
       "198                  0.000000                  0.000000e+00   \n",
       "199                  0.000000                  0.000000e+00   \n",
       "200                  0.971280                  1.665190e+02   \n",
       "201                  0.000000                  0.000000e+00   \n",
       "202                  0.000000                  0.000000e+00   \n",
       "203                  0.000000                  0.000000e+00   \n",
       "204                  0.000000                  1.980234e-15   \n",
       "205                  0.000000                  0.000000e+00   \n",
       "206                  0.000000                  0.000000e+00   \n",
       "207                  0.000000                  1.729690e-15   \n",
       "208                  0.000000                  0.000000e+00   \n",
       "209                  0.000000                  0.000000e+00   \n",
       "210                  0.000000                  0.000000e+00   \n",
       "211                  0.000000                  0.000000e+00   \n",
       "212                  0.000000                  0.000000e+00   \n",
       "213                  0.000000                  1.874072e-15   \n",
       "214                  0.000000                  0.000000e+00   \n",
       "215                  0.000000                  0.000000e+00   \n",
       "216                  0.000000                  0.000000e+00   \n",
       "217                  0.000000                  0.000000e+00   \n",
       "218                  0.000000                  0.000000e+00   \n",
       "219                  0.000000                  0.000000e+00   \n",
       "220                  0.000000                  0.000000e+00   \n",
       "221                  0.000000                  0.000000e+00   \n",
       "222                  0.000000                  0.000000e+00   \n",
       "223                  0.000000                  0.000000e+00   \n",
       "224                  0.000000                  0.000000e+00   \n",
       "225                  0.000000                  0.000000e+00   \n",
       "226                  0.000000                  0.000000e+00   \n",
       "227                  0.000000                  0.000000e+00   \n",
       "228                  0.000000                  0.000000e+00   \n",
       "229                  0.000000                  0.000000e+00   \n",
       "230                  0.000000                  0.000000e+00   \n",
       "231                  0.000000                  0.000000e+00   \n",
       "232                  0.000000                  0.000000e+00   \n",
       "233                  0.000000                  0.000000e+00   \n",
       "234                  0.089619                  2.997457e+00   \n",
       "235                  0.000000                  0.000000e+00   \n",
       "236                  0.000000                  0.000000e+00   \n",
       "237                  0.000000                  0.000000e+00   \n",
       "238                  0.000000                  0.000000e+00   \n",
       "239                  0.000000                  0.000000e+00   \n",
       "240                  0.000000                  0.000000e+00   \n",
       "241                  0.000000                  0.000000e+00   \n",
       "242                  0.000000                  0.000000e+00   \n",
       "243                  0.782291                  6.491748e+01   \n",
       "244                  0.000000                  0.000000e+00   \n",
       "245                  0.356852                  5.744673e+01   \n",
       "246                  0.000000                  0.000000e+00   \n",
       "247                  0.247844                  2.091936e+01   \n",
       "248                  0.000000                  0.000000e+00   \n",
       "249                  0.000000                  0.000000e+00   \n",
       "250                  0.000000                  0.000000e+00   \n",
       "251                  0.000000                  0.000000e+00   \n",
       "252                  0.000000                  0.000000e+00   \n",
       "253                  0.000000                  0.000000e+00   \n",
       "254                  0.000000                  0.000000e+00   \n",
       "255                  0.000000                  0.000000e+00   \n",
       "256                  0.000000                  0.000000e+00   \n",
       "257                  0.000000                  3.148266e-15   \n",
       "258                  0.000000                  0.000000e+00   \n",
       "259                  0.000000                  0.000000e+00   \n",
       "260                  0.000000                  0.000000e+00   \n",
       "261                  0.000000                  0.000000e+00   \n",
       "262                  0.000000                  0.000000e+00   \n",
       "263                  0.000000                  0.000000e+00   \n",
       "264                  0.586385                  1.430749e+02   \n",
       "265                  0.872977                  3.111175e+02   \n",
       "266                  0.000000                  0.000000e+00   \n",
       "267                  0.000000                  0.000000e+00   \n",
       "268                  0.000000                  0.000000e+00   \n",
       "269                  2.905083                  5.237344e+03   \n",
       "270                  0.000000                  1.539122e-15   \n",
       "271                  0.000000                  0.000000e+00   \n",
       "272                  0.000000                  1.890584e-15   \n",
       "273                  0.000000                  0.000000e+00   \n",
       "274                  0.000000                  0.000000e+00   \n",
       "275                  0.000000                  0.000000e+00   \n",
       "276                  0.000000                  0.000000e+00   \n",
       "277                  0.000000                  0.000000e+00   \n",
       "278                  0.000000                  0.000000e+00   \n",
       "279                  0.430414                  7.794576e+01   \n",
       "280                  0.000000                  0.000000e+00   \n",
       "281                  0.000000                  0.000000e+00   \n",
       "282                  0.000000                  3.831189e+00   \n",
       "\n",
       "     astrometric_params_solved  astrometric_primary_flag  \\\n",
       "0                           31                     False   \n",
       "1                           31                      True   \n",
       "2                           31                     False   \n",
       "3                           31                      True   \n",
       "4                           31                     False   \n",
       "5                           31                      True   \n",
       "6                           31                      True   \n",
       "7                           31                     False   \n",
       "8                           31                     False   \n",
       "9                           31                     False   \n",
       "10                          31                     False   \n",
       "11                          31                     False   \n",
       "12                          31                      True   \n",
       "13                          31                      True   \n",
       "14                          31                      True   \n",
       "15                          31                     False   \n",
       "16                          31                     False   \n",
       "17                          31                      True   \n",
       "18                          31                      True   \n",
       "19                          31                      True   \n",
       "20                          31                     False   \n",
       "21                          31                      True   \n",
       "22                          31                     False   \n",
       "23                          31                     False   \n",
       "24                          31                     False   \n",
       "25                          31                      True   \n",
       "26                          31                      True   \n",
       "27                          31                      True   \n",
       "28                          31                      True   \n",
       "29                          31                     False   \n",
       "30                          31                     False   \n",
       "31                          31                     False   \n",
       "32                          31                      True   \n",
       "33                          31                     False   \n",
       "34                          31                      True   \n",
       "35                          31                     False   \n",
       "36                          31                     False   \n",
       "37                          31                      True   \n",
       "38                          31                      True   \n",
       "39                          31                      True   \n",
       "40                          31                      True   \n",
       "41                          31                      True   \n",
       "42                          31                      True   \n",
       "43                          31                      True   \n",
       "44                          31                      True   \n",
       "45                          31                     False   \n",
       "46                          31                     False   \n",
       "47                          31                      True   \n",
       "48                          31                     False   \n",
       "49                          31                      True   \n",
       "50                          31                      True   \n",
       "51                          31                      True   \n",
       "52                          31                      True   \n",
       "53                          31                     False   \n",
       "54                          31                      True   \n",
       "55                          31                     False   \n",
       "56                          31                     False   \n",
       "57                          31                      True   \n",
       "58                          31                     False   \n",
       "59                          31                      True   \n",
       "60                          31                      True   \n",
       "61                          31                      True   \n",
       "62                          31                      True   \n",
       "63                          31                      True   \n",
       "64                          31                      True   \n",
       "65                          31                      True   \n",
       "66                          31                      True   \n",
       "67                          31                      True   \n",
       "68                          31                      True   \n",
       "69                          31                      True   \n",
       "70                          31                      True   \n",
       "71                          31                      True   \n",
       "72                          31                     False   \n",
       "73                          31                     False   \n",
       "74                          31                     False   \n",
       "75                          31                     False   \n",
       "76                          31                      True   \n",
       "77                          31                      True   \n",
       "78                          31                      True   \n",
       "79                          31                      True   \n",
       "80                          31                     False   \n",
       "81                          31                     False   \n",
       "82                          31                      True   \n",
       "83                          31                      True   \n",
       "84                          31                      True   \n",
       "85                          31                      True   \n",
       "86                          31                      True   \n",
       "87                          31                     False   \n",
       "88                          31                      True   \n",
       "89                          31                      True   \n",
       "90                          31                      True   \n",
       "91                          31                      True   \n",
       "92                          31                      True   \n",
       "93                          31                      True   \n",
       "94                          31                      True   \n",
       "95                          31                      True   \n",
       "96                          31                      True   \n",
       "97                          31                     False   \n",
       "98                          31                      True   \n",
       "99                          31                      True   \n",
       "100                         31                     False   \n",
       "101                         31                      True   \n",
       "102                         31                      True   \n",
       "103                         31                     False   \n",
       "104                         31                     False   \n",
       "105                         31                      True   \n",
       "106                         31                     False   \n",
       "107                         31                      True   \n",
       "108                         31                     False   \n",
       "109                         31                     False   \n",
       "110                         31                     False   \n",
       "111                         31                      True   \n",
       "112                         31                     False   \n",
       "113                         31                     False   \n",
       "114                         31                      True   \n",
       "115                         31                     False   \n",
       "116                         31                     False   \n",
       "117                         31                     False   \n",
       "118                         31                      True   \n",
       "119                         31                     False   \n",
       "120                         31                      True   \n",
       "121                         31                      True   \n",
       "122                         31                     False   \n",
       "123                         31                      True   \n",
       "124                         31                      True   \n",
       "125                         31                      True   \n",
       "126                         31                      True   \n",
       "127                         31                     False   \n",
       "128                         31                      True   \n",
       "129                         31                      True   \n",
       "130                         31                     False   \n",
       "131                         31                      True   \n",
       "132                         31                      True   \n",
       "133                         31                     False   \n",
       "134                         31                     False   \n",
       "135                         31                      True   \n",
       "136                         31                     False   \n",
       "137                         31                      True   \n",
       "138                         31                      True   \n",
       "139                         31                     False   \n",
       "140                         31                     False   \n",
       "141                         31                      True   \n",
       "142                         31                     False   \n",
       "143                         31                     False   \n",
       "144                         31                     False   \n",
       "145                         31                      True   \n",
       "146                         31                      True   \n",
       "147                         31                      True   \n",
       "148                         31                     False   \n",
       "149                         31                     False   \n",
       "150                         31                      True   \n",
       "151                         31                      True   \n",
       "152                         31                      True   \n",
       "153                         31                      True   \n",
       "154                         31                      True   \n",
       "155                         31                     False   \n",
       "156                         31                      True   \n",
       "157                         31                     False   \n",
       "158                         31                     False   \n",
       "159                         31                      True   \n",
       "160                         31                      True   \n",
       "161                         31                     False   \n",
       "162                         31                     False   \n",
       "163                         31                      True   \n",
       "164                         31                      True   \n",
       "165                         31                      True   \n",
       "166                         31                      True   \n",
       "167                         31                      True   \n",
       "168                         31                      True   \n",
       "169                         31                      True   \n",
       "170                         31                      True   \n",
       "171                         31                      True   \n",
       "172                         31                      True   \n",
       "173                         31                      True   \n",
       "174                         31                     False   \n",
       "175                         31                      True   \n",
       "176                         31                      True   \n",
       "177                         31                      True   \n",
       "178                         31                      True   \n",
       "179                         31                      True   \n",
       "180                         31                      True   \n",
       "181                         31                      True   \n",
       "182                         31                     False   \n",
       "183                         31                     False   \n",
       "184                         31                      True   \n",
       "185                         31                     False   \n",
       "186                         31                      True   \n",
       "187                         31                     False   \n",
       "188                         31                      True   \n",
       "189                         31                     False   \n",
       "190                         31                      True   \n",
       "191                         31                      True   \n",
       "192                         31                      True   \n",
       "193                         31                      True   \n",
       "194                         31                     False   \n",
       "195                         31                      True   \n",
       "196                         31                      True   \n",
       "197                         31                      True   \n",
       "198                         31                      True   \n",
       "199                         31                     False   \n",
       "200                         31                     False   \n",
       "201                         31                     False   \n",
       "202                         31                     False   \n",
       "203                         31                     False   \n",
       "204                         31                     False   \n",
       "205                         31                      True   \n",
       "206                         31                     False   \n",
       "207                         31                     False   \n",
       "208                         31                      True   \n",
       "209                         31                      True   \n",
       "210                         31                      True   \n",
       "211                         31                     False   \n",
       "212                         31                     False   \n",
       "213                         31                     False   \n",
       "214                         31                      True   \n",
       "215                         31                     False   \n",
       "216                         31                     False   \n",
       "217                         31                      True   \n",
       "218                         31                      True   \n",
       "219                         31                     False   \n",
       "220                         31                     False   \n",
       "221                         31                      True   \n",
       "222                         31                     False   \n",
       "223                         31                     False   \n",
       "224                         31                     False   \n",
       "225                         31                     False   \n",
       "226                         31                     False   \n",
       "227                         31                     False   \n",
       "228                         31                     False   \n",
       "229                         31                     False   \n",
       "230                         31                     False   \n",
       "231                         31                     False   \n",
       "232                         31                     False   \n",
       "233                         31                      True   \n",
       "234                         31                     False   \n",
       "235                         31                     False   \n",
       "236                         31                     False   \n",
       "237                         31                      True   \n",
       "238                         31                     False   \n",
       "239                         31                      True   \n",
       "240                         31                     False   \n",
       "241                         31                     False   \n",
       "242                         31                     False   \n",
       "243                         31                     False   \n",
       "244                         31                      True   \n",
       "245                         31                      True   \n",
       "246                         31                      True   \n",
       "247                         31                      True   \n",
       "248                         31                     False   \n",
       "249                         31                     False   \n",
       "250                         31                      True   \n",
       "251                         31                     False   \n",
       "252                         31                     False   \n",
       "253                         31                      True   \n",
       "254                         31                      True   \n",
       "255                         31                     False   \n",
       "256                         31                     False   \n",
       "257                         31                     False   \n",
       "258                         31                     False   \n",
       "259                         31                     False   \n",
       "260                         31                     False   \n",
       "261                         31                     False   \n",
       "262                         31                     False   \n",
       "263                         31                     False   \n",
       "264                         31                     False   \n",
       "265                         31                     False   \n",
       "266                         31                      True   \n",
       "267                         31                     False   \n",
       "268                         31                      True   \n",
       "269                         31                     False   \n",
       "270                         31                      True   \n",
       "271                         31                     False   \n",
       "272                         31                      True   \n",
       "273                         31                     False   \n",
       "274                         31                     False   \n",
       "275                         31                     False   \n",
       "276                         31                     False   \n",
       "277                         31                     False   \n",
       "278                         31                      True   \n",
       "279                         31                     False   \n",
       "280                         31                     False   \n",
       "281                         31                     False   \n",
       "282                         31                     False   \n",
       "\n",
       "     astrometric_weight_al  astrometric_pseudo_colour  \\\n",
       "0               278.996030                   1.518955   \n",
       "1               339.321200                   1.430263   \n",
       "2               208.572280                   1.516746   \n",
       "3               289.150850                   1.454431   \n",
       "4               484.417500                   1.497451   \n",
       "5               250.143020                   1.517728   \n",
       "6               285.137020                   1.579566   \n",
       "7               152.361720                   1.447408   \n",
       "8                85.912290                   1.416756   \n",
       "9               185.430920                   1.451032   \n",
       "10              224.076840                   1.451523   \n",
       "11              271.806760                   1.464472   \n",
       "12              303.939970                   1.454345   \n",
       "13              118.257600                   1.440519   \n",
       "14              231.684950                   1.473711   \n",
       "15              395.155030                   1.445091   \n",
       "16              384.988680                   1.422795   \n",
       "17              218.219420                   1.389020   \n",
       "18              110.149750                   1.410858   \n",
       "19              380.870300                   1.496897   \n",
       "20              272.310000                   1.534152   \n",
       "21              243.601200                   1.421808   \n",
       "22              207.216540                   1.532549   \n",
       "23              270.912100                   1.420252   \n",
       "24              223.822390                   1.358272   \n",
       "25              135.808900                   1.497797   \n",
       "26              274.645000                   1.427052   \n",
       "27              401.719640                   1.446539   \n",
       "28              368.787300                   1.440520   \n",
       "29              363.594120                   1.542707   \n",
       "30              141.972730                   1.463605   \n",
       "31              112.428250                   1.492349   \n",
       "32              107.843880                   1.530188   \n",
       "33              301.698460                   1.471468   \n",
       "34              425.444980                   1.466088   \n",
       "35                0.953047                   1.575466   \n",
       "36               42.621680                   1.400538   \n",
       "37              306.359440                   1.493051   \n",
       "38              240.121630                   1.502703   \n",
       "39              262.726500                   1.437017   \n",
       "40              376.413420                   1.419300   \n",
       "41              131.514110                   1.511284   \n",
       "42               94.083244                   1.608794   \n",
       "43              214.703370                   1.519756   \n",
       "44              256.773600                   1.515110   \n",
       "45               58.763550                   1.508863   \n",
       "46              147.262480                   1.521289   \n",
       "47              251.477450                   1.494256   \n",
       "48              163.653960                   1.498349   \n",
       "49              230.186740                   1.485294   \n",
       "50              319.099500                   1.454372   \n",
       "51               86.021350                   1.419433   \n",
       "52              377.664340                   1.434534   \n",
       "53              333.934080                   1.397837   \n",
       "54              103.251360                   1.430994   \n",
       "55              401.255740                   1.384901   \n",
       "56              334.798220                   1.431556   \n",
       "57              395.668430                   1.495351   \n",
       "58              281.240500                   1.420298   \n",
       "59              312.667940                   1.412674   \n",
       "60              227.218840                   1.401158   \n",
       "61              381.031130                   1.375248   \n",
       "62              356.641360                   1.354950   \n",
       "63              326.288900                   1.487015   \n",
       "64              377.750900                   1.435163   \n",
       "65              121.260360                   1.478411   \n",
       "66              316.627560                   1.424711   \n",
       "67                1.354109                   1.400387   \n",
       "68              247.865500                   1.372727   \n",
       "69              219.690300                   1.390995   \n",
       "70              302.005220                   1.535008   \n",
       "71              295.830020                   1.483395   \n",
       "72              125.861984                   1.453017   \n",
       "73              443.156220                   1.501822   \n",
       "74              209.704640                   1.482561   \n",
       "75              312.595580                   1.424442   \n",
       "76              242.208330                   1.462480   \n",
       "77               64.210396                   1.397890   \n",
       "78              264.231260                   1.445636   \n",
       "79              201.204010                   1.434485   \n",
       "80              361.667360                   1.425015   \n",
       "81              231.227460                   1.482177   \n",
       "82              373.022520                   1.438367   \n",
       "83              379.213960                   1.483897   \n",
       "84              120.627580                   1.393629   \n",
       "85              303.500200                   1.410006   \n",
       "86              345.130400                   1.633769   \n",
       "87              277.073700                   1.529769   \n",
       "88                7.077116                   1.600491   \n",
       "89              209.571660                   1.460111   \n",
       "90               15.828865                   1.655623   \n",
       "91                8.163436                   1.641056   \n",
       "92              326.378970                   1.495103   \n",
       "93              254.230800                   1.464016   \n",
       "94              266.181400                   1.376166   \n",
       "95              218.747120                   1.551101   \n",
       "96              169.729400                   1.545420   \n",
       "97               10.243600                   1.643249   \n",
       "98              184.601580                   1.395698   \n",
       "99              201.140410                   1.486166   \n",
       "100             234.161350                   1.559754   \n",
       "101             454.008640                   1.419458   \n",
       "102             390.512150                   1.436725   \n",
       "103             254.018050                   1.433114   \n",
       "104             105.085470                   1.450164   \n",
       "105             206.401250                   1.529875   \n",
       "106             110.092550                   1.531857   \n",
       "107             460.697880                   1.439966   \n",
       "108             196.627100                   1.515626   \n",
       "109              88.258530                   1.481563   \n",
       "110             276.868100                   1.431520   \n",
       "111             262.775360                   1.439821   \n",
       "112             414.967560                   1.439121   \n",
       "113             260.872700                   1.478806   \n",
       "114             297.765440                   1.417310   \n",
       "115             323.818240                   1.463245   \n",
       "116             420.939240                   1.435923   \n",
       "117             230.033740                   1.487274   \n",
       "118             372.068970                   1.368905   \n",
       "119             264.862900                   1.426106   \n",
       "120             369.395360                   1.404231   \n",
       "121             228.107330                   1.405841   \n",
       "122             281.705140                   1.393551   \n",
       "123             238.267650                   1.359602   \n",
       "124             301.186700                   1.355875   \n",
       "125             111.957214                   1.424317   \n",
       "126             192.698930                   1.430893   \n",
       "127             240.626220                   1.468749   \n",
       "128             305.361200                   1.411151   \n",
       "129             331.862760                   1.375471   \n",
       "130              16.428710                   1.598077   \n",
       "131             323.022700                   1.445644   \n",
       "132             373.088620                   1.404245   \n",
       "133              55.884500                   1.382128   \n",
       "134             277.551640                   1.548903   \n",
       "135             182.914430                   1.434985   \n",
       "136              71.372795                   1.364350   \n",
       "137             146.244350                   1.439832   \n",
       "138             237.706530                   1.398440   \n",
       "139             247.672270                   1.515426   \n",
       "140             360.849100                   1.375993   \n",
       "141             264.578250                   1.401004   \n",
       "142             218.227830                   1.402592   \n",
       "143             128.258350                   1.462571   \n",
       "144             249.462430                   1.546916   \n",
       "145             119.433730                   1.371652   \n",
       "146             390.505580                   1.425529   \n",
       "147             245.182040                   1.418525   \n",
       "148             294.260830                   1.358725   \n",
       "149             275.987980                   1.441063   \n",
       "150             234.448990                   1.392788   \n",
       "151             409.657230                   1.426066   \n",
       "152              98.903625                   1.556746   \n",
       "153             236.655910                   1.534854   \n",
       "154             273.163900                   1.515421   \n",
       "155              96.974940                   1.544338   \n",
       "156             303.920230                   1.490261   \n",
       "157              38.475770                   1.469824   \n",
       "158             253.673580                   1.467486   \n",
       "159             262.299470                   1.471390   \n",
       "160             232.807330                   1.489006   \n",
       "161             431.545500                   1.483016   \n",
       "162             140.236620                   1.583105   \n",
       "163             108.638630                   1.442012   \n",
       "164             201.886570                   1.598351   \n",
       "165             228.620440                   1.534494   \n",
       "166             361.683260                   1.435334   \n",
       "167             322.304870                   1.403726   \n",
       "168              84.326416                   1.579498   \n",
       "169             292.856380                   1.524337   \n",
       "170             367.559630                   1.391902   \n",
       "171             364.884830                   1.478125   \n",
       "172              90.839424                   1.582284   \n",
       "173              89.348480                   1.499457   \n",
       "174             174.717710                   1.540811   \n",
       "175             114.273964                   1.491184   \n",
       "176             191.667330                   1.507241   \n",
       "177             244.458510                   1.505092   \n",
       "178             249.560350                   1.445787   \n",
       "179             257.700620                   1.398802   \n",
       "180              20.386755                   1.392681   \n",
       "181              89.831210                   1.565575   \n",
       "182             101.247110                   1.510082   \n",
       "183             251.788100                   1.410304   \n",
       "184             259.005770                   1.376281   \n",
       "185             310.914100                   1.478408   \n",
       "186             183.512970                   1.448994   \n",
       "187             104.467440                   1.423304   \n",
       "188              88.392910                   1.457364   \n",
       "189             257.255250                   1.545096   \n",
       "190             364.753450                   1.410186   \n",
       "191             221.825600                   1.402531   \n",
       "192             118.630510                   1.469209   \n",
       "193             295.585820                   1.369217   \n",
       "194             246.958680                   1.498945   \n",
       "195               3.763247                   1.641871   \n",
       "196             223.327440                   1.538004   \n",
       "197             218.677290                   1.495427   \n",
       "198             234.889050                   1.475557   \n",
       "199              77.352230                   1.569380   \n",
       "200               1.030584                   1.688034   \n",
       "201             305.491940                   1.538826   \n",
       "202             257.173160                   1.520802   \n",
       "203             241.930590                   1.534978   \n",
       "204             224.210720                   1.549570   \n",
       "205             242.069800                   1.495227   \n",
       "206             241.717350                   1.519150   \n",
       "207             136.053670                   1.484087   \n",
       "208             220.911040                   1.516711   \n",
       "209             311.702420                   1.481588   \n",
       "210             130.018420                   1.549772   \n",
       "211             273.443270                   1.461784   \n",
       "212             398.414060                   1.422801   \n",
       "213             273.966670                   1.458335   \n",
       "214             330.226040                   1.551298   \n",
       "215             309.046600                   1.409631   \n",
       "216             398.267150                   1.386648   \n",
       "217             241.813170                   1.418537   \n",
       "218             118.026710                   1.480627   \n",
       "219             244.198030                   1.466721   \n",
       "220             147.370360                   1.540307   \n",
       "221             241.672070                   1.486912   \n",
       "222             288.741580                   1.533127   \n",
       "223             225.327290                   1.576180   \n",
       "224             124.614510                   1.581960   \n",
       "225             200.413400                   1.518706   \n",
       "226             273.271330                   1.515746   \n",
       "227             338.516800                   1.444014   \n",
       "228              79.125680                   1.549341   \n",
       "229             225.309500                   1.515633   \n",
       "230             243.351330                   1.497163   \n",
       "231             214.954100                   1.510474   \n",
       "232             111.168450                   1.474901   \n",
       "233             391.520700                   1.500460   \n",
       "234              84.701010                   1.495652   \n",
       "235             255.994340                   1.502960   \n",
       "236             214.408340                   1.589688   \n",
       "237             323.157380                   1.407615   \n",
       "238             117.791030                   1.513265   \n",
       "239             127.458110                   1.486771   \n",
       "240              70.674350                   1.595215   \n",
       "241             140.996320                   1.610491   \n",
       "242             271.371520                   1.484749   \n",
       "243               1.539661                   1.448918   \n",
       "244             257.302030                   1.584702   \n",
       "245               7.111528                   1.610205   \n",
       "246             111.241940                   1.575735   \n",
       "247              14.398947                   1.648809   \n",
       "248              82.136566                   1.545260   \n",
       "249             209.434800                   1.522507   \n",
       "250             400.159670                   1.425786   \n",
       "251              73.332300                   1.539059   \n",
       "252             239.549000                   1.434875   \n",
       "253             220.258930                   1.506750   \n",
       "254             207.041920                   1.525766   \n",
       "255             264.298580                   1.514616   \n",
       "256             155.335250                   1.575883   \n",
       "257             289.273100                   1.550091   \n",
       "258              94.291490                   1.573695   \n",
       "259             255.262440                   1.577448   \n",
       "260              92.963390                   1.598645   \n",
       "261             325.823100                   1.539703   \n",
       "262             136.416660                   1.547482   \n",
       "263             287.850520                   1.570379   \n",
       "264               2.750155                   1.505705   \n",
       "265               1.229720                   1.574933   \n",
       "266              97.938470                   1.507753   \n",
       "267              89.475900                   1.550805   \n",
       "268             104.535120                   1.530867   \n",
       "269               0.111013                   1.402250   \n",
       "270             106.694290                   1.555459   \n",
       "271             249.130780                   1.538235   \n",
       "272             194.780290                   1.499132   \n",
       "273             137.036620                   1.551539   \n",
       "274             199.737690                   1.523333   \n",
       "275             240.503920                   1.416565   \n",
       "276             264.663120                   1.546975   \n",
       "277             269.971560                   1.476330   \n",
       "278             348.201780                   1.424416   \n",
       "279               4.902711                   1.625055   \n",
       "280             102.918396                   1.570051   \n",
       "281             127.569600                   1.550434   \n",
       "282             258.323150                   1.579968   \n",
       "\n",
       "     astrometric_pseudo_colour_error  mean_varpi_factor_al  \\\n",
       "0                           0.009147             -0.056529   \n",
       "1                           0.010397             -0.102499   \n",
       "2                           0.014264             -0.238289   \n",
       "3                           0.012447             -0.062229   \n",
       "4                           0.012916             -0.077061   \n",
       "5                           0.010213              0.047392   \n",
       "6                           0.011050             -0.158967   \n",
       "7                           0.014772              0.104718   \n",
       "8                           0.014053             -0.062024   \n",
       "9                           0.013044              0.022258   \n",
       "10                          0.011479              0.008126   \n",
       "11                          0.006100              0.014973   \n",
       "12                          0.005612             -0.052552   \n",
       "13                          0.007409             -0.012915   \n",
       "14                          0.005631              0.024898   \n",
       "15                          0.005720              0.007443   \n",
       "16                          0.005375             -0.046247   \n",
       "17                          0.006404             -0.009649   \n",
       "18                          0.003420             -0.017344   \n",
       "19                          0.006230             -0.020092   \n",
       "20                          0.006366             -0.068111   \n",
       "21                          0.004976              0.049551   \n",
       "22                          0.006182             -0.015917   \n",
       "23                          0.008345              0.111614   \n",
       "24                          0.008332              0.085199   \n",
       "25                          0.008512             -0.150462   \n",
       "26                          0.006917             -0.029771   \n",
       "27                          0.008469              0.005961   \n",
       "28                          0.009048             -0.134583   \n",
       "29                          0.007255             -0.081551   \n",
       "30                          0.004634             -0.026973   \n",
       "31                          0.004742             -0.131556   \n",
       "32                          0.009930             -0.086394   \n",
       "33                          0.008804             -0.065635   \n",
       "34                          0.009373             -0.025282   \n",
       "35                          0.050152             -0.116846   \n",
       "36                          0.012075             -0.063324   \n",
       "37                          0.007294             -0.014568   \n",
       "38                          0.007731              0.017724   \n",
       "39                          0.007110             -0.120221   \n",
       "40                          0.005652             -0.031264   \n",
       "41                          0.006360             -0.014503   \n",
       "42                          0.007496             -0.024247   \n",
       "43                          0.005643             -0.015523   \n",
       "44                          0.005491             -0.024752   \n",
       "45                          0.002500             -0.007157   \n",
       "46                          0.003283             -0.030423   \n",
       "47                          0.005335              0.028240   \n",
       "48                          0.005292              0.071789   \n",
       "49                          0.005759              0.006450   \n",
       "50                          0.006333              0.040415   \n",
       "51                          0.003096              0.032872   \n",
       "52                          0.004975              0.049989   \n",
       "53                          0.007062              0.055666   \n",
       "54                          0.006838             -0.078793   \n",
       "55                          0.005150             -0.004512   \n",
       "56                          0.006370              0.000506   \n",
       "57                          0.006829              0.069119   \n",
       "58                          0.006515              0.098073   \n",
       "59                          0.006074              0.004130   \n",
       "60                          0.006257              0.039122   \n",
       "61                          0.005831             -0.071979   \n",
       "62                          0.005873             -0.024978   \n",
       "63                          0.005123              0.004822   \n",
       "64                          0.004411             -0.004215   \n",
       "65                          0.006669             -0.062925   \n",
       "66                          0.006461             -0.075699   \n",
       "67                          0.039169             -0.040654   \n",
       "68                          0.005627              0.003075   \n",
       "69                          0.005361             -0.038103   \n",
       "70                          0.004974             -0.063632   \n",
       "71                          0.005804              0.008684   \n",
       "72                          0.002980             -0.010164   \n",
       "73                          0.007754              0.107758   \n",
       "74                          0.005924             -0.044046   \n",
       "75                          0.005005             -0.019172   \n",
       "76                          0.005562              0.037833   \n",
       "77                          0.008575             -0.001579   \n",
       "78                          0.005681             -0.032433   \n",
       "79                          0.006488             -0.059505   \n",
       "80                          0.007220             -0.038953   \n",
       "81                          0.009367             -0.135828   \n",
       "82                          0.005345              0.021638   \n",
       "83                          0.006053              0.028416   \n",
       "84                          0.006761             -0.049169   \n",
       "85                          0.005275             -0.001767   \n",
       "86                          0.006818             -0.040973   \n",
       "87                          0.006169              0.048375   \n",
       "88                          0.014615              0.014099   \n",
       "89                          0.007651             -0.007894   \n",
       "90                          0.007845              0.021635   \n",
       "91                          0.017493              0.119402   \n",
       "92                          0.005594              0.116668   \n",
       "93                          0.006455              0.090174   \n",
       "94                          0.006087              0.020718   \n",
       "95                          0.006610              0.015280   \n",
       "96                          0.006419              0.044246   \n",
       "97                          0.013941              0.036797   \n",
       "98                          0.006146              0.036390   \n",
       "99                          0.007793             -0.015061   \n",
       "100                         0.008233             -0.028377   \n",
       "101                         0.007455             -0.073740   \n",
       "102                         0.005795             -0.060273   \n",
       "103                         0.005906             -0.060622   \n",
       "104                         0.003783             -0.124587   \n",
       "105                         0.007626             -0.093266   \n",
       "106                         0.008756             -0.124285   \n",
       "107                         0.007905             -0.011024   \n",
       "108                         0.008189             -0.101942   \n",
       "109                         0.008667             -0.001391   \n",
       "110                         0.006000             -0.002735   \n",
       "111                         0.006514             -0.093715   \n",
       "112                         0.005626             -0.013754   \n",
       "113                         0.007035              0.057740   \n",
       "114                         0.005293              0.078783   \n",
       "115                         0.007033             -0.039137   \n",
       "116                         0.006002              0.054724   \n",
       "117                         0.005187             -0.014105   \n",
       "118                         0.005897              0.022393   \n",
       "119                         0.005490              0.057119   \n",
       "120                         0.008371             -0.055170   \n",
       "121                         0.007262             -0.066985   \n",
       "122                         0.006588             -0.026110   \n",
       "123                         0.007069              0.084811   \n",
       "124                         0.005890              0.045233   \n",
       "125                         0.006979              0.062379   \n",
       "126                         0.005879             -0.012111   \n",
       "127                         0.006855              0.008869   \n",
       "128                         0.006351              0.076140   \n",
       "129                         0.006338             -0.026937   \n",
       "130                         0.011578             -0.029264   \n",
       "131                         0.005474              0.069069   \n",
       "132                         0.005788              0.098877   \n",
       "133                         0.005052             -0.013587   \n",
       "134                         0.006149              0.056746   \n",
       "135                         0.008453             -0.016384   \n",
       "136                         0.007563              0.014767   \n",
       "137                         0.007507              0.039988   \n",
       "138                         0.006859              0.075074   \n",
       "139                         0.006908              0.034849   \n",
       "140                         0.007366              0.048021   \n",
       "141                         0.007526             -0.023020   \n",
       "142                         0.006563              0.049170   \n",
       "143                         0.004117             -0.008590   \n",
       "144                         0.006066              0.055914   \n",
       "145                         0.008064             -0.021581   \n",
       "146                         0.005970              0.050472   \n",
       "147                         0.006198              0.031109   \n",
       "148                         0.006781              0.030055   \n",
       "149                         0.005677             -0.037478   \n",
       "150                         0.007554              0.128555   \n",
       "151                         0.007121             -0.108229   \n",
       "152                         0.008150              0.030403   \n",
       "153                         0.006322             -0.007154   \n",
       "154                         0.008160             -0.063590   \n",
       "155                         0.007177              0.015402   \n",
       "156                         0.008454             -0.047026   \n",
       "157                         0.003342             -0.050678   \n",
       "158                         0.006943             -0.124931   \n",
       "159                         0.007905             -0.018852   \n",
       "160                         0.005004             -0.042203   \n",
       "161                         0.008933             -0.046021   \n",
       "162                         0.010546             -0.032213   \n",
       "163                         0.005698              0.094166   \n",
       "164                         0.010279             -0.135426   \n",
       "165                         0.011442             -0.067982   \n",
       "166                         0.008973              0.085354   \n",
       "167                         0.008443             -0.108388   \n",
       "168                         0.011246             -0.013127   \n",
       "169                         0.006784              0.015908   \n",
       "170                         0.009285             -0.068376   \n",
       "171                         0.009126             -0.009463   \n",
       "172                         0.011261             -0.029151   \n",
       "173                         0.009624             -0.011789   \n",
       "174                         0.012354              0.347875   \n",
       "175                         0.009397              0.173071   \n",
       "176                         0.011950              0.232252   \n",
       "177                         0.011651              0.098069   \n",
       "178                         0.011952             -0.082457   \n",
       "179                         0.011321              0.076602   \n",
       "180                         0.017614             -0.054355   \n",
       "181                         0.009055             -0.013729   \n",
       "182                         0.009049              0.061906   \n",
       "183                         0.014396              0.104292   \n",
       "184                         0.012920              0.148743   \n",
       "185                         0.011283              0.039484   \n",
       "186                         0.011687              0.018737   \n",
       "187                         0.011371              0.088669   \n",
       "188                         0.008443              0.251503   \n",
       "189                         0.007535              0.107947   \n",
       "190                         0.008667              0.270649   \n",
       "191                         0.011904              0.160602   \n",
       "192                         0.008142              0.116126   \n",
       "193                         0.009679             -0.103494   \n",
       "194                         0.011985              0.126447   \n",
       "195                         0.023324              0.004681   \n",
       "196                         0.006936             -0.075671   \n",
       "197                         0.006648             -0.017653   \n",
       "198                         0.006576             -0.078328   \n",
       "199                         0.006535              0.059052   \n",
       "200                         0.048296             -0.061827   \n",
       "201                         0.005849             -0.028531   \n",
       "202                         0.006495             -0.046352   \n",
       "203                         0.006027             -0.042513   \n",
       "204                         0.007968             -0.059498   \n",
       "205                         0.007839             -0.045717   \n",
       "206                         0.007958             -0.033785   \n",
       "207                         0.008376              0.094846   \n",
       "208                         0.007599             -0.096152   \n",
       "209                         0.009119              0.048403   \n",
       "210                         0.006109              0.079799   \n",
       "211                         0.008608             -0.027319   \n",
       "212                         0.006991             -0.020550   \n",
       "213                         0.006182              0.068669   \n",
       "214                         0.006345              0.016413   \n",
       "215                         0.005911              0.017802   \n",
       "216                         0.006521             -0.010840   \n",
       "217                         0.008993              0.072744   \n",
       "218                         0.009100             -0.234697   \n",
       "219                         0.007435             -0.070357   \n",
       "220                         0.009868             -0.161332   \n",
       "221                         0.005653             -0.110930   \n",
       "222                         0.005749             -0.106713   \n",
       "223                         0.006150             -0.041440   \n",
       "224                         0.007406             -0.125350   \n",
       "225                         0.007418             -0.059861   \n",
       "226                         0.005938             -0.031018   \n",
       "227                         0.006972              0.005320   \n",
       "228                         0.006677             -0.002855   \n",
       "229                         0.006333             -0.067485   \n",
       "230                         0.006900             -0.060081   \n",
       "231                         0.006467             -0.041707   \n",
       "232                         0.007102              0.069556   \n",
       "233                         0.007566             -0.094620   \n",
       "234                         0.006353             -0.069946   \n",
       "235                         0.006074             -0.118540   \n",
       "236                         0.007061              0.008100   \n",
       "237                         0.007086              0.064438   \n",
       "238                         0.008966              0.157230   \n",
       "239                         0.008476              0.008758   \n",
       "240                         0.007787              0.023405   \n",
       "241                         0.008107             -0.022861   \n",
       "242                         0.006347              0.023333   \n",
       "243                         0.029739             -0.050301   \n",
       "244                         0.005402             -0.000171   \n",
       "245                         0.018033             -0.157670   \n",
       "246                         0.008176             -0.117633   \n",
       "247                         0.015580              0.134845   \n",
       "248                         0.008417             -0.102590   \n",
       "249                         0.007236             -0.053772   \n",
       "250                         0.007317             -0.074090   \n",
       "251                         0.007032             -0.047236   \n",
       "252                         0.005868             -0.035834   \n",
       "253                         0.006547              0.012954   \n",
       "254                         0.007564             -0.012515   \n",
       "255                         0.006642             -0.061084   \n",
       "256                         0.008099              0.016987   \n",
       "257                         0.005639              0.072061   \n",
       "258                         0.005935              0.058808   \n",
       "259                         0.005865              0.042561   \n",
       "260                         0.006938              0.069156   \n",
       "261                         0.006811             -0.074486   \n",
       "262                         0.007711              0.099171   \n",
       "263                         0.006524              0.119305   \n",
       "264                         0.026724             -0.090616   \n",
       "265                         0.031992              0.019930   \n",
       "266                         0.007721             -0.000865   \n",
       "267                         0.004879              0.065712   \n",
       "268                         0.005931              0.013613   \n",
       "269                         0.105285              0.036426   \n",
       "270                         0.007109              0.076139   \n",
       "271                         0.005294             -0.000189   \n",
       "272                         0.006887             -0.018826   \n",
       "273                         0.012023              0.020441   \n",
       "274                         0.008575              0.166366   \n",
       "275                         0.007513             -0.033495   \n",
       "276                         0.005338             -0.071547   \n",
       "277                         0.005968             -0.015971   \n",
       "278                         0.007353             -0.033770   \n",
       "279                         0.014182             -0.083629   \n",
       "280                         0.006572              0.070566   \n",
       "281                         0.008149              0.034027   \n",
       "282                         0.008338             -0.003536   \n",
       "\n",
       "     astrometric_matched_observations  visibility_periods_used  \\\n",
       "0                                  23                       13   \n",
       "1                                  16                       11   \n",
       "2                                  15                       11   \n",
       "3                                  13                       10   \n",
       "4                                  14                       10   \n",
       "5                                  16                       10   \n",
       "6                                  18                       10   \n",
       "7                                  15                       11   \n",
       "8                                  14                       10   \n",
       "9                                  14                       10   \n",
       "10                                 16                        9   \n",
       "11                                 34                       17   \n",
       "12                                 36                       16   \n",
       "13                                 34                       17   \n",
       "14                                 38                       17   \n",
       "15                                 37                       17   \n",
       "16                                 40                       17   \n",
       "17                                 35                       15   \n",
       "18                                 54                       16   \n",
       "19                                 40                       14   \n",
       "20                                 35                       14   \n",
       "21                                 64                       15   \n",
       "22                                 58                       16   \n",
       "23                                 30                       13   \n",
       "24                                 26                       12   \n",
       "25                                 28                       11   \n",
       "26                                 34                       12   \n",
       "27                                 18                       10   \n",
       "28                                 17                       11   \n",
       "29                                 17                       11   \n",
       "30                                 29                       12   \n",
       "31                                 26                       10   \n",
       "32                                 25                       12   \n",
       "33                                 22                       10   \n",
       "34                                 26                       12   \n",
       "35                                 29                       12   \n",
       "36                                 22                       12   \n",
       "37                                 30                       12   \n",
       "38                                 21                       12   \n",
       "39                                 51                       13   \n",
       "40                                 35                       14   \n",
       "41                                 39                       13   \n",
       "42                                 48                       15   \n",
       "43                                 42                       18   \n",
       "44                                 41                       19   \n",
       "45                                104                       18   \n",
       "46                                 45                       19   \n",
       "47                                 43                       19   \n",
       "48                                 40                       19   \n",
       "49                                 39                       19   \n",
       "50                                 36                       19   \n",
       "51                                 37                       19   \n",
       "52                                 39                       19   \n",
       "53                                 30                       18   \n",
       "54                                 34                       18   \n",
       "55                                 41                       19   \n",
       "56                                 36                       15   \n",
       "57                                 29                       12   \n",
       "58                                 25                       13   \n",
       "59                                 29                       13   \n",
       "60                                 24                       12   \n",
       "61                                 47                       15   \n",
       "62                                 41                       16   \n",
       "63                                 47                       14   \n",
       "64                                 59                       18   \n",
       "65                                 40                       14   \n",
       "66                                 38                       14   \n",
       "67                                 37                       15   \n",
       "68                                 41                       16   \n",
       "69                                 38                       16   \n",
       "70                                 33                       14   \n",
       "71                                 77                       17   \n",
       "72                                 73                       17   \n",
       "73                                 27                       13   \n",
       "74                                 33                       14   \n",
       "75                                 39                       13   \n",
       "76                                 40                       14   \n",
       "77                                 41                       16   \n",
       "78                                 44                       20   \n",
       "79                                 36                       17   \n",
       "80                                 35                       15   \n",
       "81                                 21                       12   \n",
       "82                                 42                       19   \n",
       "83                                 42                       17   \n",
       "84                                 36                       19   \n",
       "85                                 41                       18   \n",
       "86                                 23                       10   \n",
       "87                                 38                       13   \n",
       "88                                 44                       14   \n",
       "89                                 33                       12   \n",
       "90                                 84                       16   \n",
       "91                                 38                       14   \n",
       "92                                 39                       16   \n",
       "93                                 33                       17   \n",
       "94                                 35                       16   \n",
       "95                                 33                       17   \n",
       "96                                 31                       16   \n",
       "97                                 36                       17   \n",
       "98                                 35                       17   \n",
       "99                                 27                       17   \n",
       "100                                27                       15   \n",
       "101                                25                       16   \n",
       "102                                36                       17   \n",
       "103                                32                       16   \n",
       "104                                30                       16   \n",
       "105                                27                       15   \n",
       "106                                27                       16   \n",
       "107                                24                       15   \n",
       "108                                27                       17   \n",
       "109                                26                       15   \n",
       "110                                30                       15   \n",
       "111                                29                       17   \n",
       "112                                33                       18   \n",
       "113                                28                       18   \n",
       "114                                38                       18   \n",
       "115                                33                       17   \n",
       "116                                36                       19   \n",
       "117                                34                       17   \n",
       "118                                30                       17   \n",
       "119                                32                       18   \n",
       "120                                26                       15   \n",
       "121                                26                       16   \n",
       "122                                29                       18   \n",
       "123                                29                       19   \n",
       "124                                34                       19   \n",
       "125                                37                       15   \n",
       "126                                35                       17   \n",
       "127                                31                       15   \n",
       "128                                34                       17   \n",
       "129                                33                       17   \n",
       "130                                35                       17   \n",
       "131                                29                       16   \n",
       "132                                35                       16   \n",
       "133                                32                       17   \n",
       "134                                27                       16   \n",
       "135                                26                       15   \n",
       "136                                32                       17   \n",
       "137                                30                       16   \n",
       "138                                27                       16   \n",
       "139                                27                       14   \n",
       "140                                29                       16   \n",
       "141                                25                       16   \n",
       "142                                26                       14   \n",
       "143                                25                       15   \n",
       "144                                27                       16   \n",
       "145                                27                       15   \n",
       "146                                29                       15   \n",
       "147                                28                       16   \n",
       "148                                29                       14   \n",
       "149                                26                       16   \n",
       "150                                25                       15   \n",
       "151                                27                       17   \n",
       "152                                25                       17   \n",
       "153                                38                       12   \n",
       "154                                25                       14   \n",
       "155                                54                       13   \n",
       "156                                22                       12   \n",
       "157                                33                       11   \n",
       "158                                21                       10   \n",
       "159                                19                       11   \n",
       "160                                34                       12   \n",
       "161                                15                       10   \n",
       "162                                20                       11   \n",
       "163                                17                       11   \n",
       "164                                19                       11   \n",
       "165                                17                       11   \n",
       "166                                16                       11   \n",
       "167                                18                       11   \n",
       "168                                18                       11   \n",
       "169                                45                       11   \n",
       "170                                19                       11   \n",
       "171                                19                       10   \n",
       "172                                18                       11   \n",
       "173                                18                       10   \n",
       "174                                17                        9   \n",
       "175                                19                       11   \n",
       "176                                16                       10   \n",
       "177                                20                       11   \n",
       "178                                17                        9   \n",
       "179                                17                       10   \n",
       "180                                17                        9   \n",
       "181                                29                       12   \n",
       "182                                19                       11   \n",
       "183                                16                       10   \n",
       "184                                18                       11   \n",
       "185                                19                       10   \n",
       "186                                13                        9   \n",
       "187                                20                       11   \n",
       "188                                25                       11   \n",
       "189                                29                       13   \n",
       "190                                18                       11   \n",
       "191                                13                        9   \n",
       "192                                18                       10   \n",
       "193                                27                       11   \n",
       "194                                16                       12   \n",
       "195                                46                       13   \n",
       "196                                27                       18   \n",
       "197                                29                       17   \n",
       "198                                32                       19   \n",
       "199                                30                       19   \n",
       "200                                32                       19   \n",
       "201                                32                       18   \n",
       "202                                29                       17   \n",
       "203                                29                       17   \n",
       "204                                24                       16   \n",
       "205                                26                       16   \n",
       "206                                27                       17   \n",
       "207                                31                       17   \n",
       "208                                25                       16   \n",
       "209                                25                       16   \n",
       "210                                25                       15   \n",
       "211                                25                       14   \n",
       "212                                28                       16   \n",
       "213                                29                       15   \n",
       "214                                27                       15   \n",
       "215                                29                       16   \n",
       "216                                28                       15   \n",
       "217                                25                       16   \n",
       "218                                19                       13   \n",
       "219                                24                       15   \n",
       "220                                23                       14   \n",
       "221                                34                       17   \n",
       "222                                33                       19   \n",
       "223                                34                       18   \n",
       "224                                36                       16   \n",
       "225                                30                       19   \n",
       "226                                37                       19   \n",
       "227                                30                       17   \n",
       "228                                34                       19   \n",
       "229                                33                       16   \n",
       "230                                25                       17   \n",
       "231                                33                       18   \n",
       "232                                32                       18   \n",
       "233                                30                       18   \n",
       "234                                40                       19   \n",
       "235                                33                       17   \n",
       "236                                31                       18   \n",
       "237                                28                       16   \n",
       "238                                24                       16   \n",
       "239                                30                       16   \n",
       "240                                28                       17   \n",
       "241                                27                       15   \n",
       "242                                27                       15   \n",
       "243                                25                       15   \n",
       "244                                45                       17   \n",
       "245                                30                       16   \n",
       "246                                24                       14   \n",
       "247                                27                       14   \n",
       "248                                24                       15   \n",
       "249                                25                       12   \n",
       "250                                24                       13   \n",
       "251                                30                       17   \n",
       "252                                34                       15   \n",
       "253                                33                       17   \n",
       "254                                34                       15   \n",
       "255                                40                       15   \n",
       "256                                29                       13   \n",
       "257                                38                       16   \n",
       "258                                53                       17   \n",
       "259                                44                       16   \n",
       "260                                36                       15   \n",
       "261                                50                       14   \n",
       "262                                32                       18   \n",
       "263                                36                       18   \n",
       "264                                30                       15   \n",
       "265                                56                       17   \n",
       "266                                42                       16   \n",
       "267                                52                       14   \n",
       "268                                38                       15   \n",
       "269                                79                       18   \n",
       "270                                39                       15   \n",
       "271                                47                       16   \n",
       "272                                26                       12   \n",
       "273                                17                       10   \n",
       "274                                30                       13   \n",
       "275                                30                       17   \n",
       "276                                39                       18   \n",
       "277                                35                       17   \n",
       "278                                26                       14   \n",
       "279                                49                       18   \n",
       "280                                41                       20   \n",
       "281                                36                       18   \n",
       "282                                43                       16   \n",
       "\n",
       "     astrometric_sigma5d_max  frame_rotator_object_type  matched_observations  \\\n",
       "0                   0.041935                          0                    25   \n",
       "1                   0.050135                          0                    16   \n",
       "2                   0.065408                          0                    16   \n",
       "3                   0.078294                          0                    16   \n",
       "4                   0.062521                          0                    17   \n",
       "5                   0.052625                          0                    17   \n",
       "6                   0.049973                          0                    18   \n",
       "7                   0.066531                          0                    15   \n",
       "8                   0.071387                          0                    17   \n",
       "9                   0.056567                          0                    18   \n",
       "10                  0.055854                          0                    18   \n",
       "11                  0.036091                          0                    38   \n",
       "12                  0.032256                          0                    38   \n",
       "13                  0.035712                          0                    37   \n",
       "14                  0.037400                          0                    41   \n",
       "15                  0.038763                          0                    40   \n",
       "16                  0.034761                          0                    43   \n",
       "17                  0.037052                          0                    36   \n",
       "18                  0.036923                          0                    55   \n",
       "19                  0.034166                          0                    42   \n",
       "20                  0.032609                          0                    36   \n",
       "21                  0.043763                          0                    67   \n",
       "22                  0.044671                          0                    61   \n",
       "23                  0.047274                          0                    34   \n",
       "24                  0.057381                          0                    27   \n",
       "25                  0.062196                          0                    36   \n",
       "26                  0.054315                          0                    36   \n",
       "27                  0.056184                          0                    18   \n",
       "28                  0.056251                          0                    17   \n",
       "29                  0.050302                          0                    17   \n",
       "30                  0.058759                          0                    31   \n",
       "31                  0.056931                          0                    28   \n",
       "32                  0.065890                          0                    27   \n",
       "33                  0.074581                          0                    26   \n",
       "34                  0.070577                          0                    30   \n",
       "35                  0.216127                          0                    33   \n",
       "36                  0.075767                          0                    27   \n",
       "37                  0.051951                          0                    34   \n",
       "38                  0.052082                          0                    25   \n",
       "39                  0.040523                          0                    56   \n",
       "40                  0.033608                          0                    39   \n",
       "41                  0.039420                          0                    44   \n",
       "42                  0.047727                          0                    52   \n",
       "43                  0.033252                          0                    44   \n",
       "44                  0.033784                          0                    44   \n",
       "45                  0.039503                          0                   107   \n",
       "46                  0.034308                          0                    48   \n",
       "47                  0.036393                          0                    48   \n",
       "48                  0.038331                          0                    46   \n",
       "49                  0.039075                          0                    46   \n",
       "50                  0.033706                          0                    40   \n",
       "51                  0.034870                          0                    41   \n",
       "52                  0.030390                          0                    42   \n",
       "53                  0.037844                          0                    34   \n",
       "54                  0.035291                          0                    37   \n",
       "55                  0.031366                          0                    44   \n",
       "56                  0.044075                          0                    41   \n",
       "57                  0.066444                          0                    32   \n",
       "58                  0.056787                          0                    29   \n",
       "59                  0.057181                          0                    33   \n",
       "60                  0.067115                          0                    27   \n",
       "61                  0.033677                          0                    49   \n",
       "62                  0.036079                          0                    43   \n",
       "63                  0.041757                          0                    50   \n",
       "64                  0.031569                          0                    60   \n",
       "65                  0.045240                          0                    46   \n",
       "66                  0.036265                          0                    41   \n",
       "67                  0.176130                          0                    47   \n",
       "68                  0.036977                          0                    43   \n",
       "69                  0.032567                          0                    40   \n",
       "70                  0.047779                          0                    35   \n",
       "71                  0.041901                          0                    83   \n",
       "72                  0.042966                          0                    74   \n",
       "73                  0.064118                          0                    32   \n",
       "74                  0.043489                          0                    36   \n",
       "75                  0.046201                          0                    42   \n",
       "76                  0.063329                          0                    45   \n",
       "77                  0.041686                          0                    48   \n",
       "78                  0.039535                          0                    50   \n",
       "79                  0.035292                          0                    53   \n",
       "80                  0.039440                          0                    45   \n",
       "81                  0.054148                          0                    25   \n",
       "82                  0.033105                          0                    44   \n",
       "83                  0.034770                          0                    49   \n",
       "84                  0.040208                          0                    38   \n",
       "85                  0.033071                          0                    43   \n",
       "86                  0.043486                          0                    24   \n",
       "87                  0.032429                          0                    42   \n",
       "88                  0.068717                          0                    56   \n",
       "89                  0.042987                          0                    50   \n",
       "90                  0.063851                          0                   102   \n",
       "91                  0.084556                          0                    49   \n",
       "92                  0.033038                          0                    45   \n",
       "93                  0.033782                          0                    36   \n",
       "94                  0.037312                          0                    41   \n",
       "95                  0.033174                          0                    47   \n",
       "96                  0.047332                          0                    50   \n",
       "97                  0.068192                          0                    44   \n",
       "98                  0.038868                          0                    40   \n",
       "99                  0.037950                          0                    28   \n",
       "100                 0.038853                          0                    47   \n",
       "101                 0.040376                          0                    39   \n",
       "102                 0.037910                          0                    41   \n",
       "103                 0.036480                          0                    39   \n",
       "104                 0.037834                          0                    32   \n",
       "105                 0.041900                          0                    33   \n",
       "106                 0.043304                          0                    33   \n",
       "107                 0.038485                          0                    41   \n",
       "108                 0.039701                          0                    33   \n",
       "109                 0.048305                          0                    34   \n",
       "110                 0.042379                          0                    35   \n",
       "111                 0.039343                          0                    34   \n",
       "112                 0.034104                          0                    36   \n",
       "113                 0.037880                          0                    34   \n",
       "114                 0.032383                          0                    41   \n",
       "115                 0.033793                          0                    34   \n",
       "116                 0.032221                          0                    41   \n",
       "117                 0.037985                          0                    38   \n",
       "118                 0.036977                          0                    35   \n",
       "119                 0.033884                          0                    36   \n",
       "120                 0.047191                          0                    32   \n",
       "121                 0.043459                          0                    28   \n",
       "122                 0.036720                          0                    32   \n",
       "123                 0.034766                          0                    33   \n",
       "124                 0.034535                          0                    35   \n",
       "125                 0.040551                          0                    43   \n",
       "126                 0.036292                          0                    43   \n",
       "127                 0.037713                          0                    36   \n",
       "128                 0.034067                          0                    34   \n",
       "129                 0.045700                          0                    33   \n",
       "130                 0.056018                          0                    38   \n",
       "131                 0.043437                          0                    31   \n",
       "132                 0.039496                          0                    36   \n",
       "133                 0.045182                          0                    33   \n",
       "134                 0.035378                          0                    30   \n",
       "135                 0.049495                          0                    35   \n",
       "136                 0.038013                          0                    34   \n",
       "137                 0.037748                          0                    32   \n",
       "138                 0.038492                          0                    28   \n",
       "139                 0.041346                          0                    29   \n",
       "140                 0.035288                          0                    30   \n",
       "141                 0.037501                          0                    27   \n",
       "142                 0.041521                          0                    31   \n",
       "143                 0.041993                          0                    28   \n",
       "144                 0.033242                          0                    34   \n",
       "145                 0.042855                          0                    32   \n",
       "146                 0.036017                          0                    32   \n",
       "147                 0.033629                          0                    44   \n",
       "148                 0.036857                          0                    32   \n",
       "149                 0.036943                          0                    30   \n",
       "150                 0.037232                          0                    41   \n",
       "151                 0.036719                          0                    30   \n",
       "152                 0.042271                          0                    29   \n",
       "153                 0.047095                          0                    40   \n",
       "154                 0.040327                          0                    29   \n",
       "155                 0.046597                          0                    66   \n",
       "156                 0.043260                          0                    24   \n",
       "157                 0.067978                          0                    35   \n",
       "158                 0.049851                          0                    21   \n",
       "159                 0.046012                          0                    19   \n",
       "160                 0.040663                          0                    34   \n",
       "161                 0.047974                          0                    15   \n",
       "162                 0.051818                          0                    20   \n",
       "163                 0.049688                          0                    17   \n",
       "164                 0.051237                          0                    21   \n",
       "165                 0.047806                          0                    17   \n",
       "166                 0.050703                          0                    16   \n",
       "167                 0.045132                          0                    18   \n",
       "168                 0.052225                          0                    19   \n",
       "169                 0.077208                          0                    51   \n",
       "170                 0.048707                          0                    20   \n",
       "171                 0.052526                          0                    19   \n",
       "172                 0.052299                          0                    19   \n",
       "173                 0.058405                          0                    19   \n",
       "174                 0.138698                          0                    24   \n",
       "175                 0.063020                          0                    25   \n",
       "176                 0.083271                          0                    23   \n",
       "177                 0.049463                          0                    25   \n",
       "178                 0.051177                          0                    17   \n",
       "179                 0.058335                          0                    17   \n",
       "180                 0.082650                          0                    27   \n",
       "181                 0.060118                          0                    33   \n",
       "182                 0.051389                          0                    20   \n",
       "183                 0.056890                          0                    16   \n",
       "184                 0.059278                          0                    20   \n",
       "185                 0.059578                          0                    20   \n",
       "186                 0.053572                          0                    19   \n",
       "187                 0.051252                          0                    20   \n",
       "188                 0.074647                          0                    42   \n",
       "189                 0.040495                          0                    31   \n",
       "190                 0.053930                          0                    18   \n",
       "191                 0.071638                          0                    17   \n",
       "192                 0.055588                          0                    22   \n",
       "193                 0.046328                          0                    29   \n",
       "194                 0.054587                          0                    28   \n",
       "195                 0.099495                          0                    49   \n",
       "196                 0.036251                          0                    30   \n",
       "197                 0.037792                          0                    32   \n",
       "198                 0.035212                          0                    37   \n",
       "199                 0.039423                          0                    36   \n",
       "200                 0.148428                          0                    37   \n",
       "201                 0.035353                          0                    38   \n",
       "202                 0.033908                          0                    32   \n",
       "203                 0.039522                          0                    37   \n",
       "204                 0.044745                          0                    30   \n",
       "205                 0.041973                          0                    28   \n",
       "206                 0.039611                          0                    31   \n",
       "207                 0.041093                          0                    38   \n",
       "208                 0.042869                          0                    46   \n",
       "209                 0.036377                          0                    28   \n",
       "210                 0.045163                          0                    61   \n",
       "211                 0.041542                          0                    42   \n",
       "212                 0.040017                          0                    51   \n",
       "213                 0.040253                          0                    46   \n",
       "214                 0.034403                          0                    44   \n",
       "215                 0.039136                          0                    48   \n",
       "216                 0.041851                          0                    47   \n",
       "217                 0.040275                          0                    48   \n",
       "218                 0.050982                          0                    45   \n",
       "219                 0.043656                          0                    28   \n",
       "220                 0.043659                          0                    33   \n",
       "221                 0.032846                          0                    39   \n",
       "222                 0.035647                          0                    34   \n",
       "223                 0.036367                          0                    41   \n",
       "224                 0.038059                          0                    39   \n",
       "225                 0.038469                          0                    36   \n",
       "226                 0.031408                          0                    40   \n",
       "227                 0.042041                          0                    39   \n",
       "228                 0.039482                          0                    39   \n",
       "229                 0.036959                          0                    42   \n",
       "230                 0.042086                          0                    31   \n",
       "231                 0.035198                          0                    37   \n",
       "232                 0.041111                          0                    37   \n",
       "233                 0.034957                          0                    32   \n",
       "234                 0.036522                          0                    46   \n",
       "235                 0.036120                          0                    37   \n",
       "236                 0.037649                          0                    36   \n",
       "237                 0.038408                          0                    35   \n",
       "238                 0.043165                          0                    33   \n",
       "239                 0.038490                          0                    36   \n",
       "240                 0.047045                          0                    33   \n",
       "241                 0.039749                          0                    36   \n",
       "242                 0.041089                          0                    31   \n",
       "243                 0.163206                          0                    46   \n",
       "244                 0.035508                          0                    49   \n",
       "245                 0.074431                          0                    37   \n",
       "246                 0.050222                          0                    28   \n",
       "247                 0.061331                          0                    35   \n",
       "248                 0.039347                          0                    27   \n",
       "249                 0.049599                          0                    34   \n",
       "250                 0.041749                          0                    27   \n",
       "251                 0.040291                          0                    35   \n",
       "252                 0.034561                          0                    41   \n",
       "253                 0.037799                          0                    40   \n",
       "254                 0.040605                          0                    36   \n",
       "255                 0.038179                          0                    41   \n",
       "256                 0.039729                          0                    35   \n",
       "257                 0.035976                          0                    45   \n",
       "258                 0.034671                          0                    66   \n",
       "259                 0.052471                          0                    58   \n",
       "260                 0.040943                          0                    42   \n",
       "261                 0.045771                          0                    58   \n",
       "262                 0.037524                          0                    44   \n",
       "263                 0.034258                          0                    46   \n",
       "264                 0.103372                          0                    39   \n",
       "265                 0.117961                          0                    69   \n",
       "266                 0.035518                          0                    51   \n",
       "267                 0.039116                          0                    58   \n",
       "268                 0.050150                          0                    49   \n",
       "269                 0.267184                          0                    90   \n",
       "270                 0.044047                          0                    49   \n",
       "271                 0.039935                          0                    53   \n",
       "272                 0.054287                          0                    30   \n",
       "273                 0.067446                          0                    18   \n",
       "274                 0.058932                          0                    33   \n",
       "275                 0.043891                          0                    38   \n",
       "276                 0.033826                          0                    50   \n",
       "277                 0.038531                          0                    46   \n",
       "278                 0.039765                          0                    29   \n",
       "279                 0.071013                          0                    62   \n",
       "280                 0.038340                          0                    44   \n",
       "281                 0.045139                          0                    47   \n",
       "282                 0.044122                          0                    59   \n",
       "\n",
       "     duplicated_source  phot_g_n_obs  phot_g_mean_flux  \\\n",
       "0                False           221      3.642909e+06   \n",
       "1                False           142      3.066078e+05   \n",
       "2                 True           133      1.552074e+06   \n",
       "3                False           126      1.647558e+06   \n",
       "4                False           128      6.026348e+05   \n",
       "5                False           141      1.296795e+06   \n",
       "6                False           156      2.528705e+06   \n",
       "7                False           131      8.957639e+06   \n",
       "8                False           130      1.638256e+07   \n",
       "9                False           139      7.381626e+06   \n",
       "10               False           141      3.672005e+06   \n",
       "11               False           319      2.722812e+06   \n",
       "12               False           337      1.622168e+06   \n",
       "13               False           317      8.658317e+06   \n",
       "14                True           349      3.922664e+06   \n",
       "15               False           326      4.111465e+05   \n",
       "16               False           375      4.582653e+05   \n",
       "17                True           315      1.546952e+05   \n",
       "18               False           439      7.864390e+04   \n",
       "19               False           359      7.211298e+05   \n",
       "20               False           316      1.387304e+06   \n",
       "21               False           573      4.613992e+06   \n",
       "22               False           531      6.712248e+06   \n",
       "23                True           279      2.332662e+06   \n",
       "24                True           237      4.955438e+06   \n",
       "25               False           274      2.922936e+07   \n",
       "26               False           311      2.204220e+06   \n",
       "27               False           161      3.941790e+05   \n",
       "28               False           150      2.751000e+05   \n",
       "29               False           151      2.960126e+05   \n",
       "30               False           274      1.062082e+05   \n",
       "31               False           245      8.205570e+04   \n",
       "32               False           239      2.188740e+07   \n",
       "33               False           218      2.055707e+06   \n",
       "34               False           257      6.681845e+05   \n",
       "35                True           271      6.653765e+06   \n",
       "36               False           213      6.504724e+05   \n",
       "37                True           287      1.020640e+06   \n",
       "38               False           214      4.201305e+06   \n",
       "39               False           471      3.729692e+06   \n",
       "40               False           326      3.042787e+05   \n",
       "41               False           355      2.600300e+07   \n",
       "42               False           420      1.604084e+07   \n",
       "43               False           380      5.805332e+06   \n",
       "44               False           375      2.823773e+06   \n",
       "45                True           921      4.402127e+04   \n",
       "46               False           420      1.124777e+05   \n",
       "47               False           404      2.726976e+06   \n",
       "48                True           374      7.002688e+06   \n",
       "49                True           385      6.331780e+06   \n",
       "50               False           354      7.662229e+05   \n",
       "51               False           351      6.365318e+04   \n",
       "52               False           367      2.992537e+05   \n",
       "53               False           299      2.525019e+05   \n",
       "54               False           325      3.941391e+05   \n",
       "55               False           381      3.460604e+05   \n",
       "56               False           350      7.240113e+05   \n",
       "57               False           258      6.559209e+05   \n",
       "58                True           247      1.130630e+06   \n",
       "59               False           276      1.303270e+06   \n",
       "60               False           226      4.093245e+06   \n",
       "61               False           436      3.311550e+05   \n",
       "62               False           374      3.131775e+05   \n",
       "63               False           444      1.257232e+06   \n",
       "64               False           525      2.985826e+05   \n",
       "65               False           363      2.542112e+07   \n",
       "66               False           354      1.464214e+06   \n",
       "67               False           370      8.551959e+06   \n",
       "68                True           372      1.828076e+06   \n",
       "69               False           354      1.563034e+05   \n",
       "70               False           307      2.133835e+05   \n",
       "71                True           709      1.314180e+06   \n",
       "72                True           655      9.300651e+04   \n",
       "73               False           241      5.306485e+05   \n",
       "74               False           308      5.395115e+06   \n",
       "75                True           360      2.264620e+05   \n",
       "76                True           374      4.755460e+06   \n",
       "77               False           423      5.351387e+05   \n",
       "78                True           434      2.111232e+06   \n",
       "79               False           384      4.172717e+07   \n",
       "80               False           358      6.669563e+05   \n",
       "81                True           206      1.375231e+06   \n",
       "82               False           376      3.223280e+05   \n",
       "83               False           432      6.829854e+05   \n",
       "84               False           328      6.331133e+05   \n",
       "85                True           362      1.464212e+06   \n",
       "86               False           208      2.323505e+05   \n",
       "87                True           347      1.843081e+06   \n",
       "88               False           431      9.725802e+07   \n",
       "89               False           363      3.970699e+07   \n",
       "90               False           764      1.054925e+08   \n",
       "91               False           356      1.255945e+08   \n",
       "92               False           389      3.071784e+07   \n",
       "93               False           313      3.843281e+06   \n",
       "94               False           347      3.128018e+06   \n",
       "95               False           392      5.824995e+06   \n",
       "96               False           388      6.477659e+06   \n",
       "97               False           334      9.726606e+07   \n",
       "98               False           330      4.899072e+06   \n",
       "99               False           250      6.193219e+06   \n",
       "100               True           381      4.415107e+06   \n",
       "101              False           324      4.804992e+05   \n",
       "102              False           346      3.793204e+05   \n",
       "103              False           329      3.344396e+06   \n",
       "104              False           276      7.594858e+04   \n",
       "105               True           279      5.954793e+06   \n",
       "106              False           278      1.052694e+07   \n",
       "107              False           338      4.680635e+05   \n",
       "108              False           284      6.207095e+06   \n",
       "109              False           270      3.130468e+06   \n",
       "110              False           298      1.000591e+06   \n",
       "111              False           292      4.647865e+06   \n",
       "112              False           308      4.669518e+05   \n",
       "113              False           279      3.381874e+06   \n",
       "114              False           355      1.152894e+06   \n",
       "115              False           300      9.615058e+05   \n",
       "116              False           346      4.828236e+05   \n",
       "117              False           328      3.252400e+06   \n",
       "118              False           297      4.495616e+05   \n",
       "119               True           314      1.838190e+05   \n",
       "120              False           267      6.268796e+05   \n",
       "121              False           248      3.411414e+06   \n",
       "122              False           284      1.552925e+06   \n",
       "123              False           279      1.392392e+06   \n",
       "124              False           307      8.383159e+05   \n",
       "125              False           352      3.912262e+06   \n",
       "126              False           332      3.367893e+07   \n",
       "127              False           304      3.122751e+06   \n",
       "128               True           294      1.138753e+06   \n",
       "129              False           289      2.730393e+05   \n",
       "130              False           325      3.534024e+07   \n",
       "131              False           264      2.407644e+05   \n",
       "132              False           311      6.673091e+05   \n",
       "133              False           291      9.671549e+04   \n",
       "134              False           267      1.264891e+06   \n",
       "135              False           274      4.565578e+06   \n",
       "136              False           301      2.247780e+05   \n",
       "137              False           280      6.612469e+06   \n",
       "138              False           246      1.612055e+05   \n",
       "139               True           249      2.849804e+06   \n",
       "140              False           252      4.148815e+05   \n",
       "141              False           232      3.119844e+06   \n",
       "142              False           263      4.685525e+06   \n",
       "143              False           236      9.130339e+04   \n",
       "144              False           264      5.000746e+06   \n",
       "145              False           254      7.330416e+06   \n",
       "146              False           281      3.067781e+05   \n",
       "147               True           352      1.856982e+06   \n",
       "148              False           264      1.137178e+06   \n",
       "149              False           259      1.332400e+06   \n",
       "150               True           336      2.198950e+06   \n",
       "151              False           268      4.368446e+05   \n",
       "152              False           248      1.967062e+07   \n",
       "153              False           340      1.574567e+05   \n",
       "154              False           242      3.452719e+06   \n",
       "155              False           542      1.279304e+07   \n",
       "156              False           206      2.585870e+06   \n",
       "157               True           302      8.335671e+04   \n",
       "158              False           187      1.790682e+05   \n",
       "159              False           167      1.852457e+05   \n",
       "160              False           302      1.655842e+05   \n",
       "161              False           133      5.110972e+05   \n",
       "162               True           178      7.877838e+06   \n",
       "163              False           115      7.642346e+04   \n",
       "164              False           168      3.611608e+06   \n",
       "165              False           152      5.865498e+06   \n",
       "166              False           139      3.112963e+05   \n",
       "167              False           161      3.469221e+05   \n",
       "168              False           155      1.316614e+07   \n",
       "169              False           411      5.848277e+07   \n",
       "170              False           143      3.286354e+05   \n",
       "171              False           168      3.274401e+05   \n",
       "172              False           161      1.816428e+07   \n",
       "173              False           160      1.690865e+07   \n",
       "174              False           160      3.343587e+07   \n",
       "175              False           183      2.324845e+07   \n",
       "176              False           166      4.343274e+07   \n",
       "177              False           168      4.729613e+07   \n",
       "178              False           147      3.430461e+06   \n",
       "179              False           151      5.514478e+06   \n",
       "180              False           171      1.120474e+08   \n",
       "181               True           281      1.775883e+07   \n",
       "182              False           167      2.162863e+07   \n",
       "183              False           142      1.191379e+06   \n",
       "184              False           164      2.044029e+06   \n",
       "185              False           168      1.112927e+06   \n",
       "186              False           103      3.142343e+07   \n",
       "187              False           177      1.204644e+07   \n",
       "188              False           338      1.207479e+07   \n",
       "189              False           273      2.327696e+06   \n",
       "190              False           156      2.665410e+05   \n",
       "191              False           141      3.418605e+06   \n",
       "192              False           177      1.484717e+07   \n",
       "193               True           249      1.811067e+06   \n",
       "194              False           213      2.322686e+06   \n",
       "195              False           400      1.652037e+08   \n",
       "196               True           264      5.671616e+06   \n",
       "197              False           278      4.247109e+06   \n",
       "198              False           318      4.970252e+06   \n",
       "199              False           301      1.056895e+07   \n",
       "200              False           318      3.971196e+04   \n",
       "201              False           324      1.749021e+06   \n",
       "202              False           279      5.344243e+06   \n",
       "203              False           296      4.363723e+06   \n",
       "204              False           249      6.897266e+06   \n",
       "205              False           242      2.011899e+06   \n",
       "206              False           274      4.086108e+06   \n",
       "207              False           305      8.528856e+06   \n",
       "208               True           348      4.069998e+06   \n",
       "209               True           245      1.397170e+06   \n",
       "210              False           448      2.556567e+07   \n",
       "211              False           353      2.201802e+06   \n",
       "212              False           398      6.367761e+05   \n",
       "213              False           376      2.260078e+06   \n",
       "214              False           379      1.318440e+06   \n",
       "215              False           388      7.884322e+05   \n",
       "216              False           381      6.788992e+05   \n",
       "217              False           353      4.933637e+06   \n",
       "218              False           309      2.460709e+07   \n",
       "219               True           231      3.614442e+06   \n",
       "220              False           248      1.091270e+07   \n",
       "221              False           331      3.374636e+06   \n",
       "222              False           300      2.136354e+06   \n",
       "223              False           338      7.020892e+06   \n",
       "224              False           328      8.124163e+06   \n",
       "225              False           313      7.305322e+06   \n",
       "226              False           345      2.381264e+06   \n",
       "227              False           311      7.348866e+05   \n",
       "228               True           314      1.419109e+07   \n",
       "229               True           349      5.389507e+06   \n",
       "230              False           258      3.529108e+06   \n",
       "231              False           320      2.967361e+06   \n",
       "232              False           299      9.135809e+06   \n",
       "233              False           284      6.813359e+05   \n",
       "234              False           396      3.605972e+07   \n",
       "235               True           327      2.971271e+06   \n",
       "236              False           291      4.440929e+07   \n",
       "237              False           271      7.734894e+05   \n",
       "238              False           259      2.212565e+07   \n",
       "239              False           285      7.927363e+06   \n",
       "240              False           280      1.173074e+07   \n",
       "241              False           278      9.481168e+06   \n",
       "242               True           267      1.455817e+06   \n",
       "243              False           370      6.487905e+04   \n",
       "244              False           413      3.897166e+06   \n",
       "245              False           295      1.251201e+08   \n",
       "246              False           246      1.132699e+07   \n",
       "247               True           293      1.164388e+08   \n",
       "248              False           230      1.590418e+07   \n",
       "249              False           268      1.237974e+07   \n",
       "250              False           221      4.493213e+05   \n",
       "251              False           278      1.368643e+07   \n",
       "252              False           329      4.312987e+07   \n",
       "253              False           329      4.526570e+06   \n",
       "254              False           316      5.854193e+06   \n",
       "255              False           363      2.518881e+06   \n",
       "256              False           285      7.808735e+06   \n",
       "257              False           369      5.870837e+07   \n",
       "258              False           536      1.760076e+07   \n",
       "259              False           461      5.116600e+07   \n",
       "260              False           336      1.361990e+07   \n",
       "261               True           478      6.533579e+07   \n",
       "262              False           343      2.687902e+07   \n",
       "263              False           356      5.920536e+07   \n",
       "264              False           309      8.046674e+07   \n",
       "265              False           538      4.990919e+07   \n",
       "266              False           414      1.109387e+07   \n",
       "267              False           482      1.834185e+07   \n",
       "268              False           391      1.924252e+07   \n",
       "269              False           719      9.890574e+07   \n",
       "270              False           379      2.297066e+07   \n",
       "271              False           442      4.976226e+07   \n",
       "272              False           257      4.031974e+07   \n",
       "273              False           148      2.904687e+07   \n",
       "274              False           277      3.872276e+07   \n",
       "275              False           316      4.448068e+06   \n",
       "276              False           417      5.304769e+07   \n",
       "277              False           398      2.923577e+06   \n",
       "278               True           246      1.050223e+06   \n",
       "279               True           438      1.504904e+08   \n",
       "280              False           383      1.111848e+07   \n",
       "281              False           385      1.067290e+07   \n",
       "282              False           489      3.705151e+06   \n",
       "\n",
       "     phot_g_mean_flux_error  phot_g_mean_flux_over_error  phot_g_mean_mag  \\\n",
       "0              3.656886e+04                    99.617780         9.284745   \n",
       "1              2.984384e+03                   102.737390        11.971908   \n",
       "2              1.327238e+04                   116.940130        10.211084   \n",
       "3              1.477290e+04                   111.525730        10.146264   \n",
       "4              9.595965e+03                    62.800858        11.238230   \n",
       "5              8.896630e+03                   145.762440        10.406188   \n",
       "6              3.664852e+04                    68.998825         9.681120   \n",
       "7              1.095727e+05                    81.750626         8.307881   \n",
       "8              2.991041e+05                    54.772110         7.652411   \n",
       "9              1.036578e+05                    71.211490         8.517985   \n",
       "10             4.828091e+04                    76.055010         9.276108   \n",
       "11             3.609241e+04                    75.439995         9.600822   \n",
       "12             1.465182e+04                   110.714455        10.163126   \n",
       "13             1.295275e+05                    66.845420         8.344782   \n",
       "14             4.587812e+04                    85.501854         9.204413   \n",
       "15             4.930917e+03                    83.381355        11.653374   \n",
       "16             4.373492e+03                   104.782455        11.535573   \n",
       "17             1.582966e+03                    97.724880        12.714674   \n",
       "18             5.380113e+02                   146.175170        13.449204   \n",
       "19             6.311240e+03                   114.261185        11.043332   \n",
       "20             1.565145e+04                    88.637370        10.332937   \n",
       "21             3.786372e+04                   121.857840         9.028173   \n",
       "22             2.144030e+04                   313.066900         8.621196   \n",
       "23             3.409152e+04                    68.423510         9.768736   \n",
       "24             5.746177e+04                    86.238870         8.950661   \n",
       "25             3.067353e+05                    95.291820         7.023818   \n",
       "26             2.314898e+04                    95.218900         9.830228   \n",
       "27             5.812279e+03                    67.818330        11.699132   \n",
       "28             3.300479e+03                    83.351550        12.089639   \n",
       "29             5.350440e+03                    55.324917        12.010090   \n",
       "30             6.851207e+02                   155.021200        13.122971   \n",
       "31             1.319522e+03                    62.185910        13.403094   \n",
       "32             1.662335e+05                   131.666610         7.337880   \n",
       "33             2.178032e+04                    94.383700         9.905963   \n",
       "34             5.323763e+03                   125.509820        11.126124   \n",
       "35             6.881609e+04                    96.689090         8.630697   \n",
       "36             7.361572e+03                    88.360520        11.155293   \n",
       "37             1.248532e+04                    81.747215        10.666183   \n",
       "38             4.581171e+04                    91.708100         9.129906   \n",
       "39             3.494803e+04                   106.721100         9.259183   \n",
       "40             2.783632e+03                   109.309940        11.980187   \n",
       "41             2.003905e+05                   129.761660         7.150807   \n",
       "42             1.258327e+05                   127.477490         7.675298   \n",
       "43             4.202333e+04                   138.145450         8.778798   \n",
       "44             2.878896e+04                    98.085290         9.561291   \n",
       "45             3.789898e+02                   116.154250        14.079209   \n",
       "46             6.458737e+02                   174.148180        13.060699   \n",
       "47             1.733840e+04                   157.279560         9.599162   \n",
       "48             5.149902e+04                   135.977100         8.575204   \n",
       "49             3.295740e+04                   192.120100         8.684551   \n",
       "50             5.823333e+03                   131.578060        10.977478   \n",
       "51             7.476532e+02                    85.137310        13.678816   \n",
       "52             2.921185e+03                   102.442560        11.998267   \n",
       "53             2.096422e+03                   120.444180        12.182704   \n",
       "54             2.643407e+03                   149.102700        11.699242   \n",
       "55             1.896389e+03                   182.483830        11.840486   \n",
       "56             3.601580e+03                   201.026020        11.039002   \n",
       "57             6.863881e+03                    95.561226        11.146237   \n",
       "58             1.389016e+04                    81.397896        10.555065   \n",
       "59             1.491582e+04                    87.375040        10.400780   \n",
       "60             2.233697e+04                   183.249740         9.158196   \n",
       "61             2.441220e+03                   135.651440        11.888288   \n",
       "62             3.113120e+03                   100.599266        11.948889   \n",
       "63             9.160232e+03                   137.248900        10.439827   \n",
       "64             2.561511e+03                   116.565030        12.000705   \n",
       "65             2.027254e+05                   125.396830         7.175379   \n",
       "66             1.428989e+04                   102.465065        10.274354   \n",
       "67             1.888535e+05                    45.283570         8.358202   \n",
       "68             1.346268e+04                   135.788440        10.033380   \n",
       "69             1.149260e+03                   136.003540        12.703445   \n",
       "70             1.610590e+03                   132.487780        12.365463   \n",
       "71             1.051004e+04                   125.040405        10.391729   \n",
       "72             7.059424e+02                   131.748020        13.267082   \n",
       "73             7.082011e+03                    74.929070        11.376349   \n",
       "74             5.343224e+04                   100.971160         8.858364   \n",
       "75             2.063008e+03                   109.772705        12.300878   \n",
       "76             4.128824e+04                   115.177120         8.995384   \n",
       "77             3.699742e+03                   144.642150        11.367200   \n",
       "78             8.326357e+03                   253.560090         9.877026   \n",
       "79             8.651976e+04                   482.284850         6.637319   \n",
       "80             3.697817e+03                   180.364850        11.128122   \n",
       "81             1.220641e+04                   112.664610        10.342426   \n",
       "82             3.087696e+03                   104.391090        11.917621   \n",
       "83             6.327630e+03                   107.937010        11.102337   \n",
       "84             4.481883e+03                   141.260560        11.184662   \n",
       "85             1.104549e+04                   132.562040        10.274356   \n",
       "86             4.167386e+03                    55.754486        12.273006   \n",
       "87             1.830091e+04                   100.709816        10.024505   \n",
       "88             1.980464e+06                    49.108704         5.718552   \n",
       "89             3.398555e+05                   116.834920         6.691198   \n",
       "90             3.331191e+05                   316.681060         5.630311   \n",
       "91             1.094738e+06                   114.725600         5.440939   \n",
       "92             1.572208e+06                    19.538033         6.969889   \n",
       "93             5.932488e+04                    64.783640         9.226610   \n",
       "94             2.262398e+04                   138.261170         9.450192   \n",
       "95             4.591671e+04                   126.860030         8.775126   \n",
       "96             4.783864e+04                   135.406420         8.659821   \n",
       "97             2.134851e+05                   455.610630         5.718463   \n",
       "98             3.747414e+04                   130.732090         8.963081   \n",
       "99             3.071010e+04                   201.667160         8.708574   \n",
       "100            4.042350e+04                   109.221300         9.076013   \n",
       "101            4.241489e+03                   113.285510        11.484134   \n",
       "102            2.216219e+03                   171.156570        11.740850   \n",
       "103            3.617040e+04                    92.462220         9.377571   \n",
       "104            1.157315e+03                    65.624830        13.487066   \n",
       "105            6.135817e+04                    97.049720         8.751199   \n",
       "106            6.801741e+04                   154.768340         8.132610   \n",
       "107            3.865266e+03                   121.094770        11.512604   \n",
       "108            5.506697e+04                   112.719020         8.706144   \n",
       "109            2.935776e+05                    10.663171         9.449343   \n",
       "110            7.843329e+03                   127.572270        10.687724   \n",
       "111            2.326542e+04                   199.775670         9.020232   \n",
       "112            2.823597e+03                   165.374830        11.515185   \n",
       "113            3.280802e+04                   103.080690         9.365472   \n",
       "114            1.116453e+04                   103.263954        10.533893   \n",
       "115            7.137127e+03                   134.718890        10.730986   \n",
       "116            2.437390e+03                   198.090400        11.478894   \n",
       "117            2.880021e+04                   112.929726         9.407856   \n",
       "118            3.290129e+03                   136.639500        11.556393   \n",
       "119            1.562007e+03                   117.681300        12.527390   \n",
       "120            6.403361e+03                    97.898540        11.195405   \n",
       "121            3.875455e+04                    88.026146         9.356029   \n",
       "122            1.426810e+04                   108.838990        10.210489   \n",
       "123            1.405691e+04                    99.053890        10.328962   \n",
       "124            1.199283e+04                    69.901410        10.879847   \n",
       "125            2.430488e+05                    16.096610         9.207296   \n",
       "126            5.517007e+05                    61.045647         6.869970   \n",
       "127            3.607916e+04                    86.552750         9.452023   \n",
       "128            1.607476e+04                    70.841070        10.547292   \n",
       "129            2.543505e+03                   107.347660        12.097803   \n",
       "130            3.494722e+05                   101.124620         6.817692   \n",
       "131            2.464331e+03                    97.699690        12.234386   \n",
       "132            4.838544e+03                   137.915280        11.127548   \n",
       "133            1.215324e+03                    79.579970        13.224626   \n",
       "134            5.917782e+03                   213.744100        10.433233   \n",
       "135            4.388210e+04                   104.041940         9.039626   \n",
       "136            2.420226e+03                    92.874820        12.308981   \n",
       "137            9.741331e+04                    67.880550         8.637457   \n",
       "138            1.713400e+03                    94.085110        12.669916   \n",
       "139            2.062533e+04                   138.170060         9.551329   \n",
       "140            3.538158e+03                   117.259160        11.643556   \n",
       "141            2.877246e+04                   108.431610         9.453033   \n",
       "142            5.279592e+04                    88.747856         9.011470   \n",
       "143            1.246627e+03                    73.240330        13.287148   \n",
       "144            2.303052e+04                   217.135640         8.940779   \n",
       "145            1.036420e+05                    70.728210         8.525544   \n",
       "146            3.394862e+03                    90.365425        11.971305   \n",
       "147            1.548382e+04                   119.930504        10.016347   \n",
       "148            9.121222e+03                   124.673910        10.548794   \n",
       "149            1.062227e+04                   125.434580        10.376780   \n",
       "150            2.099806e+04                   104.721560         9.832828   \n",
       "151            4.028211e+03                   108.446320        11.587548   \n",
       "152            1.134470e+05                   173.390460         7.453821   \n",
       "153            1.557920e+03                   101.068504        12.695463   \n",
       "154            3.459137e+04                    99.814450         9.342962   \n",
       "155            9.549719e+04                   133.962460         7.920931   \n",
       "156            2.529019e+04                   102.247960         9.656849   \n",
       "157            1.240252e+03                    67.209500        13.386014   \n",
       "158            2.352201e+03                    76.127920        12.555820   \n",
       "159            2.584173e+03                    71.684700        12.518995   \n",
       "160            2.127582e+03                    77.827415        12.640819   \n",
       "161            5.870509e+03                    87.061810        11.417107   \n",
       "162            4.817711e+04                   163.518280         8.447349   \n",
       "163            2.838148e+02                   269.272250        13.480299   \n",
       "164            3.109855e+04                   116.134290         9.294114   \n",
       "165            8.638276e+04                    67.901250         8.767604   \n",
       "166            3.717497e+03                    83.738140        11.955431   \n",
       "167            2.754136e+03                   125.964020        11.837786   \n",
       "168            9.917384e+04                   132.758210         7.889720   \n",
       "169            3.263764e+05                   179.188110         6.270796   \n",
       "170            3.279370e+03                   100.212960        11.896580   \n",
       "171            3.338740e+03                    98.072950        11.900536   \n",
       "172            1.275694e+05                   142.387440         7.540320   \n",
       "173            1.751758e+05                    96.523880         7.618093   \n",
       "174            3.879229e+05                    86.192050         6.877834   \n",
       "175            2.367790e+05                    98.186290         7.272381   \n",
       "176            3.609619e+05                   120.325010         6.593823   \n",
       "177            4.407955e+05                   107.297210         6.501302   \n",
       "178            2.741360e+04                   125.137184         9.349984   \n",
       "179            7.839028e+04                    70.346440         8.834605   \n",
       "180            9.296995e+05                   120.519990         5.564861   \n",
       "181            1.410171e+05                   125.933920         7.564830   \n",
       "182            1.342476e+05                   161.110000         7.350793   \n",
       "183            1.191343e+04                   100.002990        10.498241   \n",
       "184            1.924518e+04                   106.209900         9.912148   \n",
       "185            1.393746e+04                    79.851500        10.572199   \n",
       "186            3.358933e+05                    93.551820         6.945232   \n",
       "187            2.325977e+05                    51.790890         7.986218   \n",
       "188            7.585217e+04                   159.188400         7.983667   \n",
       "189            1.535212e+04                   151.620500         9.771050   \n",
       "190            5.488613e+03                    48.562546        12.123956   \n",
       "191            4.756432e+04                    71.873310         9.353744   \n",
       "192            2.339486e+05                    63.463383         7.759257   \n",
       "193            1.613936e+04                   112.214264        10.043529   \n",
       "194            2.546840e+04                    91.198740         9.773389   \n",
       "195            6.821180e+05                   242.192320         5.143316   \n",
       "196            4.909212e+04                   115.530080         8.804099   \n",
       "197            6.634325e+04                    64.017200         9.118133   \n",
       "198            4.403032e+04                   112.882480         8.947420   \n",
       "199            3.531078e+04                   299.312400         8.128285   \n",
       "200            1.292614e+04                     3.072220        14.191062   \n",
       "201            1.089180e+04                   160.581440        10.081378   \n",
       "202            2.820563e+04                   189.474330         8.868650   \n",
       "203            2.849227e+04                   153.154600         9.088723   \n",
       "204            5.998741e+04                   114.978560         8.591673   \n",
       "205            1.163717e+04                   172.885590         9.929351   \n",
       "206            6.940807e+04                    58.870790         9.160091   \n",
       "207            9.127933e+04                    93.436880         8.361138   \n",
       "208            4.490329e+04                    90.639190         9.164380   \n",
       "209            1.170035e+04                   119.412605        10.325243   \n",
       "210            2.045905e+05                   124.960210         7.169222   \n",
       "211            1.624420e+04                   135.543880         9.831420   \n",
       "212            5.222447e+03                   121.930595        11.178399   \n",
       "213            1.748449e+04                   129.261870         9.803057   \n",
       "214            6.458457e+03                   204.141660        10.388215   \n",
       "215            6.275556e+03                   125.635430        10.946455   \n",
       "216            4.701336e+03                   144.405580        11.108852   \n",
       "217            6.279906e+04                    78.562280         8.955448   \n",
       "218            1.528952e+05                   160.940920         7.210715   \n",
       "219            5.054781e+04                    71.505424         9.293263   \n",
       "220            1.169825e+05                    93.284960         8.093534   \n",
       "221            3.431708e+04                    98.336940         9.367798   \n",
       "222            1.759194e+04                   121.439400         9.864182   \n",
       "223            4.785606e+04                   146.708530         8.572385   \n",
       "224            4.205773e+04                   193.166960         8.413919   \n",
       "225            5.340338e+04                   136.795120         8.529267   \n",
       "226            1.511632e+04                   157.529370         9.746346   \n",
       "227            8.729912e+03                    84.180300        11.022815   \n",
       "228            7.567333e+04                   187.530900         7.808327   \n",
       "229            2.033595e+04                   265.023620         8.859493   \n",
       "230            3.265311e+04                   108.078770         9.319203   \n",
       "231            1.490472e+04                   199.088750         9.507440   \n",
       "232            1.231090e+05                    74.209114         8.286498   \n",
       "233            7.474363e+03                    91.156380        11.104962   \n",
       "234            1.809981e+06                    19.922703         6.795810   \n",
       "235            3.112064e+04                    95.475880         9.506010   \n",
       "236            3.513872e+05                   126.382790         6.569681   \n",
       "237            9.229470e+03                    83.806480        10.967230   \n",
       "238            2.494546e+05                    88.696075         7.326126   \n",
       "239            5.510485e+04                   143.859620         8.440544   \n",
       "240            1.258889e+05                    93.183290         8.015052   \n",
       "241            1.230365e+05                    77.059820         8.246211   \n",
       "242            1.937747e+04                    75.129370        10.280599   \n",
       "243            2.034574e+04                     3.188827        13.658105   \n",
       "244            4.127853e+04                    94.411450         9.211493   \n",
       "245            4.171874e+05                   299.913480         5.445048   \n",
       "246            7.260343e+04                   156.011800         8.053080   \n",
       "247            5.955365e+05                   195.519230         5.523121   \n",
       "248            1.649739e+05                    96.404240         7.684587   \n",
       "249            1.059384e+06                    11.685795         7.956587   \n",
       "250            6.679858e+03                    67.265100        11.556973   \n",
       "251            2.504429e+05                    54.648903         7.847640   \n",
       "252            5.499718e+05                    78.421970         6.601420   \n",
       "253            2.841762e+04                   159.287460         9.048943   \n",
       "254            5.088128e+04                   115.055950         8.769698   \n",
       "255            2.943348e+04                    85.578760         9.685347   \n",
       "256            2.581075e+04                   302.538100         8.456914   \n",
       "257            5.580283e+05                   105.206790         6.266616   \n",
       "258            3.110058e+04                   565.930400         7.574537   \n",
       "259            3.088481e+05                   165.667190         6.415912   \n",
       "260            1.119302e+05                   121.682090         7.852931   \n",
       "261            3.339066e+05                   195.670820         6.150488   \n",
       "262            1.165848e+05                   230.553420         7.114832   \n",
       "263            7.858186e+05                    75.342260         6.257463   \n",
       "264            5.809871e+05                   138.500050         5.924324   \n",
       "265            1.133181e+05                   440.434480         6.442914   \n",
       "266            5.181291e+04                   214.114010         8.075658   \n",
       "267            1.351103e+05                   135.754600         7.529758   \n",
       "268            2.318465e+05                    82.996830         7.477711   \n",
       "269            9.107226e+05                   108.601390         5.700312   \n",
       "270            1.037896e+05                   221.319400         7.285432   \n",
       "271            2.667568e+05                   186.545400         6.446115   \n",
       "272            3.934288e+05                   102.482930         6.674571   \n",
       "273            1.674763e+05                   173.438690         7.030617   \n",
       "274            4.013640e+05                    96.477910         6.718450   \n",
       "275            3.403234e+04                   130.701200         9.067937   \n",
       "276            3.467826e+05                   152.971050         6.376699   \n",
       "277            1.755737e+04                   166.515690         9.523580   \n",
       "278            9.861354e+03                   106.498890        10.635161   \n",
       "279            5.623183e+05                   267.624970         5.244594   \n",
       "280            1.289609e+05                    86.215866         8.073253   \n",
       "281            7.814005e+04                   136.586870         8.117660   \n",
       "282            6.065083e+05                     6.108986         9.266351   \n",
       "\n",
       "     phot_bp_n_obs  phot_bp_mean_flux  phot_bp_mean_flux_error  \\\n",
       "0               25       1.496887e+06             6.228066e+04   \n",
       "1               16       1.031690e+05             3.990224e+03   \n",
       "2               14       7.001198e+05             2.495591e+04   \n",
       "3               14       6.077122e+05             1.990642e+04   \n",
       "4               13       2.651036e+05             2.041280e+04   \n",
       "5               14       5.396622e+05             1.560776e+04   \n",
       "6               18       1.205400e+06             6.023149e+04   \n",
       "7               14       3.127370e+06             1.664024e+05   \n",
       "8               15       5.145819e+06             2.989315e+05   \n",
       "9               16       2.815499e+06             1.860787e+05   \n",
       "10              15       1.198526e+06             6.599334e+04   \n",
       "11              36       1.002976e+06             5.474009e+04   \n",
       "12              37       5.542243e+05             1.785218e+04   \n",
       "13              36       2.614054e+06             1.364979e+05   \n",
       "14              37       1.523113e+06             7.537622e+04   \n",
       "15              33       1.420659e+05             7.518651e+03   \n",
       "16              42       1.475528e+05             5.778638e+03   \n",
       "17              32       4.588488e+04             1.949294e+03   \n",
       "18              46       2.441920e+04             6.092243e+02   \n",
       "19              35       2.805097e+05             1.085565e+04   \n",
       "20              32       5.726760e+05             2.498812e+04   \n",
       "21              61       1.463887e+06             5.133706e+04   \n",
       "22              59       3.045717e+06             3.765540e+04   \n",
       "23              32       6.968406e+05             4.398254e+04   \n",
       "24              26       1.101090e+06             5.824075e+04   \n",
       "25              33       5.161311e+06             8.591747e+05   \n",
       "26              32       6.528213e+05             2.702748e+04   \n",
       "27              18       1.376946e+05             7.669742e+03   \n",
       "28              17       9.758995e+04             4.552110e+03   \n",
       "29              15       1.354287e+05             1.091590e+04   \n",
       "30              31       3.997432e+04             9.467071e+02   \n",
       "31              23       3.164809e+04             1.924846e+03   \n",
       "32              26       9.349094e+06             2.640147e+05   \n",
       "33              26       7.625194e+05             3.075832e+04   \n",
       "34              28       2.478939e+05             6.817148e+03   \n",
       "35              32       2.783925e+06             9.841705e+04   \n",
       "36              23       2.046691e+05             9.489600e+03   \n",
       "37              32       3.926126e+05             1.988543e+04   \n",
       "38              24       1.735529e+06             6.852733e+04   \n",
       "39              55       1.246525e+06             4.765168e+04   \n",
       "40              34       9.841167e+04             3.964356e+03   \n",
       "41              37       1.083615e+07             3.345577e+05   \n",
       "42              47       8.276126e+06             2.297801e+05   \n",
       "43              40       2.553954e+06             6.896216e+04   \n",
       "44              42       1.192466e+06             4.631554e+04   \n",
       "45             100       1.850149e+04             5.856680e+02   \n",
       "46              47       5.052919e+04             1.085797e+03   \n",
       "47              43       1.059731e+06             2.887548e+04   \n",
       "48              42       2.598033e+06             7.492287e+04   \n",
       "49              45       2.460576e+06             4.816620e+04   \n",
       "50              39       2.586441e+05             8.675209e+03   \n",
       "51              40       1.882119e+04             8.689490e+02   \n",
       "52              39       1.013928e+05             4.325206e+03   \n",
       "53              33       7.421164e+04             2.399914e+03   \n",
       "54              36       1.286130e+05             3.417288e+03   \n",
       "55              39       1.006546e+05             2.425476e+03   \n",
       "56              35       2.325309e+05             5.116860e+03   \n",
       "57              26       2.617975e+05             1.240987e+04   \n",
       "58              28       3.162826e+05             1.522162e+04   \n",
       "59              29       3.410073e+05             1.780025e+04   \n",
       "60              26       1.210900e+06             2.565064e+04   \n",
       "61              42       9.534276e+04             3.185619e+03   \n",
       "62              42       8.347778e+04             3.551732e+03   \n",
       "63              49       4.778910e+05             1.374108e+04   \n",
       "64              59       1.055071e+05             3.604232e+03   \n",
       "65              41       9.129451e+06             2.953375e+05   \n",
       "66              41       4.688286e+05             1.754374e+04   \n",
       "67              40       3.073829e+06             1.195921e+05   \n",
       "68              42       4.365054e+05             1.319782e+04   \n",
       "69              39       4.347328e+04             1.353275e+03   \n",
       "70              33       9.813039e+04             2.872625e+03   \n",
       "71              80       4.774948e+05             1.498473e+04   \n",
       "72              74       3.426561e+04             1.016266e+03   \n",
       "73              26       2.038835e+05             9.064273e+03   \n",
       "74              35       2.174374e+06             7.057759e+04   \n",
       "75              35       7.221514e+04             2.252418e+03   \n",
       "76              42       1.766928e+06             6.930584e+04   \n",
       "77              45       1.586876e+05             5.426309e+03   \n",
       "78              49       7.163769e+05             1.065301e+04   \n",
       "79              42       1.428233e+07             1.070301e+05   \n",
       "80              36       2.175550e+05             4.084384e+03   \n",
       "81              22       5.042934e+05             1.514251e+04   \n",
       "82              39       1.131649e+05             4.129045e+03   \n",
       "83              48       2.741408e+05             1.144153e+04   \n",
       "84              36       1.770592e+05             4.659404e+03   \n",
       "85              40       4.133298e+05             1.206039e+04   \n",
       "86              24       1.305769e+05             8.572430e+03   \n",
       "87              40       7.635837e+05             2.282576e+04   \n",
       "88              41       5.501189e+07             1.331225e+06   \n",
       "89              36       1.205622e+07             3.556990e+05   \n",
       "90              77       5.672453e+07             5.613620e+05   \n",
       "91              35       3.442496e+07             4.849976e+06   \n",
       "92              41       2.116396e+07             1.679287e+06   \n",
       "93              35       1.437772e+06             7.186533e+04   \n",
       "94              41       7.872941e+05             2.094386e+04   \n",
       "95              47       2.642690e+06             7.454182e+04   \n",
       "96              45       2.807371e+06             7.939337e+04   \n",
       "97              32       5.390308e+07             4.699404e+05   \n",
       "98              38       1.390888e+06             4.111711e+04   \n",
       "99              28       2.434619e+06             4.757233e+04   \n",
       "100             42       2.193274e+06             8.138020e+04   \n",
       "101             33       1.383444e+05             4.825618e+03   \n",
       "102             36       1.237894e+05             2.922815e+03   \n",
       "103             37       1.073994e+06             4.972740e+04   \n",
       "104             31       2.773735e+04             1.430892e+03   \n",
       "105             31       2.679443e+06             1.143922e+05   \n",
       "106             30       4.562147e+06             1.138848e+05   \n",
       "107             37       1.721689e+05             5.516958e+03   \n",
       "108             30       2.739171e+06             9.855362e+04   \n",
       "109             27       4.038691e+06             2.169126e+05   \n",
       "110             30       3.273993e+05             1.068215e+04   \n",
       "111             31       1.473193e+06             3.226670e+04   \n",
       "112             32       1.607932e+05             3.818494e+03   \n",
       "113             33       1.292787e+06             4.896420e+04   \n",
       "114             37       3.556467e+05             9.874429e+03   \n",
       "115             32       3.461408e+05             1.020705e+04   \n",
       "116             36       1.653137e+05             3.565146e+03   \n",
       "117             37       1.291119e+06             4.080901e+04   \n",
       "118             31       1.281650e+05             3.770363e+03   \n",
       "119             33       6.118335e+04             2.179736e+03   \n",
       "120             27       1.980666e+05             9.983063e+03   \n",
       "121             28       1.015263e+06             4.723266e+04   \n",
       "122             31       4.388571e+05             1.701503e+04   \n",
       "123             31       3.335133e+05             1.220223e+04   \n",
       "124             33       2.052092e+05             1.067908e+04   \n",
       "125             39       2.779018e+06             1.005833e+05   \n",
       "126             34       1.001397e+07             4.775172e+05   \n",
       "127             33       1.097712e+06             5.185439e+04   \n",
       "128             30       3.461804e+05             2.031768e+04   \n",
       "129             31       7.391619e+04             2.794283e+03   \n",
       "130             35       1.785585e+07             5.582242e+05   \n",
       "131             27       8.926900e+04             3.940769e+03   \n",
       "132             33       2.095155e+05             7.328632e+03   \n",
       "133             30       2.597834e+04             1.191087e+03   \n",
       "134             27       5.843924e+05             1.136470e+04   \n",
       "135             30       1.559242e+06             6.602472e+04   \n",
       "136             33       5.957993e+04             2.741203e+03   \n",
       "137             30       2.357036e+06             1.484461e+05   \n",
       "138             28       4.628590e+04             2.057488e+03   \n",
       "139             29       1.166178e+06             3.218256e+04   \n",
       "140             28       1.138342e+05             4.209457e+03   \n",
       "141             27       8.416468e+05             2.855988e+04   \n",
       "142             29       1.531964e+06             7.505278e+04   \n",
       "143             27       3.367525e+04             1.825607e+03   \n",
       "144             29       2.256007e+06             3.929689e+04   \n",
       "145             29       1.506648e+06             8.214547e+04   \n",
       "146             31       1.030101e+05             4.721410e+03   \n",
       "147             36       5.605660e+05             1.946456e+04   \n",
       "148             29       2.658773e+05             8.103080e+03   \n",
       "149             29       4.297129e+05             1.280023e+04   \n",
       "150             38       6.087897e+05             2.214692e+04   \n",
       "151             27       1.497104e+05             5.840546e+03   \n",
       "152             27       8.949292e+06             1.973030e+05   \n",
       "153             36       6.878616e+04             2.461555e+03   \n",
       "154             26       1.442895e+06             4.930179e+04   \n",
       "155             55       5.670556e+06             1.741835e+05   \n",
       "156             22       9.373447e+05             3.531627e+04   \n",
       "157             34       3.136635e+04             1.863175e+03   \n",
       "158             19       6.379230e+04             3.888379e+03   \n",
       "159             16       7.105442e+04             4.265048e+03   \n",
       "160             32       6.149885e+04             3.259747e+03   \n",
       "161             13       2.093462e+05             1.121983e+04   \n",
       "162             20       4.143053e+06             9.699669e+04   \n",
       "163             13       2.644497e+04             3.362450e+02   \n",
       "164             20       2.024189e+06             6.843821e+04   \n",
       "165             16       2.589937e+06             1.489519e+05   \n",
       "166             14       1.169849e+05             6.682782e+03   \n",
       "167             17       1.095781e+05             3.690425e+03   \n",
       "168             18       6.327474e+06             1.750526e+05   \n",
       "169             43       2.685796e+07             3.843524e+05   \n",
       "170             14       1.000728e+05             2.816203e+03   \n",
       "171             18       1.299715e+05             5.499029e+03   \n",
       "172             18       9.044666e+06             2.357404e+05   \n",
       "173             17       7.042741e+06             3.068437e+05   \n",
       "174             15       1.430914e+07             5.569032e+05   \n",
       "175             20       9.949220e+06             4.127846e+05   \n",
       "176             16       1.692417e+07             6.225806e+05   \n",
       "177             16       1.688048e+07             3.547621e+05   \n",
       "178             17       1.234094e+06             3.641803e+04   \n",
       "179             17       1.612467e+06             9.594732e+04   \n",
       "180             17       2.029338e+07             4.147623e+06   \n",
       "181             31       8.136993e+06             2.588289e+05   \n",
       "182             18       8.332715e+06             2.062118e+05   \n",
       "183             16       3.807407e+05             1.541726e+04   \n",
       "184             19       4.975644e+05             1.793304e+04   \n",
       "185             16       3.714203e+05             1.876944e+04   \n",
       "186             12       1.054727e+07             4.891150e+05   \n",
       "187             20       3.672103e+06             2.644926e+05   \n",
       "188             33       4.250465e+06             9.887083e+04   \n",
       "189             29       1.067714e+06             2.438711e+04   \n",
       "190             18       8.654657e+04             6.067018e+03   \n",
       "191             15       1.014216e+06             5.985060e+04   \n",
       "192             20       4.831863e+06             3.087876e+05   \n",
       "193             29       4.717482e+05             1.836977e+04   \n",
       "194             27       9.626976e+05             4.060846e+04   \n",
       "195             40       7.083167e+07             2.843675e+06   \n",
       "196             27       2.568371e+06             9.838260e+04   \n",
       "197             32       1.839060e+06             1.219435e+05   \n",
       "198             34       1.914018e+06             7.696035e+04   \n",
       "199             34       5.165915e+06             6.720718e+04   \n",
       "200              0                NaN                      NaN   \n",
       "201             35       7.472974e+05             1.579256e+04   \n",
       "202             31       2.288300e+06             4.605693e+04   \n",
       "203             33       6.220865e+05             1.383149e+05   \n",
       "204             28       3.169066e+06             1.085010e+05   \n",
       "205             26       8.017887e+05             1.901235e+04   \n",
       "206             28       1.770443e+06             8.700289e+04   \n",
       "207             34       3.261867e+06             1.330648e+05   \n",
       "208             40       1.677114e+06             6.134077e+04   \n",
       "209             26       5.175077e+05             1.484034e+04   \n",
       "210             50       1.152371e+07             3.485785e+05   \n",
       "211             39       7.459685e+05             2.026342e+04   \n",
       "212             42       2.105725e+05             7.256486e+03   \n",
       "213             42       7.135011e+05             2.085355e+04   \n",
       "214             39       5.970840e+05             1.179870e+04   \n",
       "215             41       2.281164e+05             7.344351e+03   \n",
       "216             38       1.909694e+05             5.375076e+03   \n",
       "217             45       1.646408e+06             5.389621e+04   \n",
       "218             36       3.367831e+06             7.367449e+05   \n",
       "219             25       1.367514e+06             5.377636e+04   \n",
       "220             26       4.729312e+06             1.886883e+05   \n",
       "221             39       1.296798e+06             5.443976e+04   \n",
       "222             30       9.578310e+05             3.489869e+04   \n",
       "223             36       3.394091e+06             9.154413e+04   \n",
       "224             36       4.027807e+06             8.057200e+04   \n",
       "225             34       3.050957e+06             8.614626e+04   \n",
       "226             35       9.392102e+05             2.156706e+04   \n",
       "227             35       2.518057e+05             1.223470e+04   \n",
       "228             35       6.133032e+06             1.318540e+05   \n",
       "229             37       2.332144e+06             3.498526e+04   \n",
       "230             30       1.379007e+06             5.482184e+04   \n",
       "231             35       1.305569e+06             2.828411e+04   \n",
       "232             32       3.094931e+06             1.500563e+05   \n",
       "233             29       2.839149e+05             1.073954e+04   \n",
       "234             38       2.381421e+07             1.374616e+06   \n",
       "235             36       1.291180e+06             5.615739e+04   \n",
       "236             30       2.057823e+07             6.648771e+05   \n",
       "237             28       2.281097e+05             1.177969e+04   \n",
       "238             28       8.112173e+06             2.805349e+05   \n",
       "239             34       2.889261e+06             7.360667e+04   \n",
       "240             31       6.158352e+06             2.353663e+05   \n",
       "241             31       4.783268e+06             2.201499e+05   \n",
       "242             28       5.214969e+05             2.260657e+04   \n",
       "243              0                NaN                      NaN   \n",
       "244             47       1.980684e+06             8.255054e+04   \n",
       "245             28       6.299548e+07             7.950134e+05   \n",
       "246             28       5.476992e+06             1.437031e+05   \n",
       "247             29       6.095871e+07             1.255699e+06   \n",
       "248             25       7.026331e+06             2.927985e+05   \n",
       "249             27       1.207648e+07             8.379832e+05   \n",
       "250             25       1.533197e+05             9.251256e+03   \n",
       "251             30       6.355755e+06             3.771322e+05   \n",
       "252             34       1.217254e+07             5.765416e+05   \n",
       "253             40       1.850624e+06             4.361234e+04   \n",
       "254             34       2.512754e+06             8.402466e+04   \n",
       "255             39       9.320549e+05             3.929354e+04   \n",
       "256             33       3.741843e+06             4.691517e+04   \n",
       "257             36       2.593439e+07             9.113234e+05   \n",
       "258             59       8.608636e+06             5.541943e+04   \n",
       "259             50       2.410744e+07             5.250886e+05   \n",
       "260             38       6.907212e+06             2.164442e+05   \n",
       "261             43       2.581339e+07             1.035485e+06   \n",
       "262             38       1.186798e+07             1.987586e+05   \n",
       "263             38       2.737682e+07             7.894980e+05   \n",
       "264             28       3.862756e+07             1.159473e+06   \n",
       "265             52       2.402280e+07             2.082326e+05   \n",
       "266             46       4.551416e+06             7.907801e+04   \n",
       "267             52       8.651868e+06             2.432312e+05   \n",
       "268             40       7.715677e+06             3.872320e+05   \n",
       "269             69       4.342046e+07             2.082654e+06   \n",
       "270             42       1.111614e+07             1.874040e+05   \n",
       "271             43       2.106871e+07             4.541807e+05   \n",
       "272             28       1.705076e+07             6.474314e+05   \n",
       "273             16       1.393150e+07             3.218455e+05   \n",
       "274             27       1.586642e+07             6.215633e+05   \n",
       "275             35       1.402384e+06             4.036617e+04   \n",
       "276             43       2.258104e+07             4.835328e+05   \n",
       "277             45       1.029361e+06             2.301436e+04   \n",
       "278             25       3.285648e+05             1.108811e+04   \n",
       "279             43       7.773563e+07             8.888868e+05   \n",
       "280             43       5.030241e+06             2.239572e+05   \n",
       "281             43       4.601370e+06             1.349710e+05   \n",
       "282              0                NaN                      NaN   \n",
       "\n",
       "     phot_bp_mean_flux_over_error  phot_bp_mean_mag  phot_rp_n_obs  \\\n",
       "0                       24.034540          9.913416             25   \n",
       "1                       25.855438         12.817515             14   \n",
       "2                       28.054272         10.738458             15   \n",
       "3                       30.528450         10.892143             14   \n",
       "4                       12.987128         11.792850             12   \n",
       "5                       34.576523         11.021083             15   \n",
       "6                       20.012781         10.148561             18   \n",
       "7                       18.794024          9.113440             14   \n",
       "8                       17.214040          8.572752             15   \n",
       "9                       15.130686          9.227500             16   \n",
       "10                      18.161325         10.154769             17   \n",
       "11                      18.322512         10.348162             35   \n",
       "12                      31.045195         10.992174             37   \n",
       "13                      19.150880          9.308102             37   \n",
       "14                      20.206812          9.894558             38   \n",
       "15                      18.895136         12.470163             33   \n",
       "16                      25.534185         12.429019             41   \n",
       "17                      23.539234         13.697214             34   \n",
       "18                      40.082450         14.382059             53   \n",
       "19                      25.839975         11.731519             36   \n",
       "20                      22.917930         10.956615             32   \n",
       "21                      28.515207          9.937619             64   \n",
       "22                      80.883940          9.142164             61   \n",
       "23                      15.843571         10.743555             33   \n",
       "24                      18.905844         10.246831             26   \n",
       "25                       6.007290          8.569488             32   \n",
       "26                      24.153986         10.814403             33   \n",
       "27                      17.952957         12.504096             17   \n",
       "28                      21.438400         12.877875             17   \n",
       "29                      12.406556         12.522111             15   \n",
       "30                      42.224590         13.846935             30   \n",
       "31                      16.441887         14.100519             25   \n",
       "32                      35.411260          7.924464             27   \n",
       "33                      24.790672         10.645761             25   \n",
       "34                      36.363280         11.865724             24   \n",
       "35                      28.287024          9.239744             32   \n",
       "36                      21.567724         12.073757             23   \n",
       "37                      19.743732         11.366478             32   \n",
       "38                      25.326086          9.752809             24   \n",
       "39                      26.159094         10.112136             53   \n",
       "40                      24.824125         12.868772             36   \n",
       "41                      32.389492          7.764200             40   \n",
       "42                      36.017593          8.056821             49   \n",
       "43                      37.034138          9.333355             41   \n",
       "44                      25.746555         10.160274             41   \n",
       "45                      31.590406         14.683372             98   \n",
       "46                      46.536500         13.592532             47   \n",
       "47                      36.700027         10.288399             46   \n",
       "48                      34.676100          9.314776             43   \n",
       "49                      51.085114          9.373796             44   \n",
       "50                      29.814160         11.819632             39   \n",
       "51                      21.659723         14.664770             40   \n",
       "52                      23.442316         12.836369             39   \n",
       "53                      30.922630         13.175208             33   \n",
       "54                      37.635970         12.578176             35   \n",
       "55                      41.498890         12.844304             40   \n",
       "56                      45.444073         11.935186             35   \n",
       "57                      21.095917         11.806475             26   \n",
       "58                      20.778517         11.601200             28   \n",
       "59                      19.157446         11.519479             31   \n",
       "60                      47.207390         10.143618             26   \n",
       "61                      29.929113         12.903169             43   \n",
       "62                      23.503399         13.047461             41   \n",
       "63                      34.778282         11.153066             45   \n",
       "64                      29.273104         12.793184             59   \n",
       "65                      30.911932          7.950276             40   \n",
       "66                      26.723413         11.173853             40   \n",
       "67                      25.702604          9.132189             40   \n",
       "68                      33.074055         11.251414             42   \n",
       "69                      32.124508         13.755832             39   \n",
       "70                      34.160530         12.871880             34   \n",
       "71                      31.865417         11.153967             81   \n",
       "72                      33.717180         14.014242             72   \n",
       "73                      22.493088         12.077933             27   \n",
       "74                      30.808280          9.508053             36   \n",
       "75                      32.061160         13.204818             38   \n",
       "76                      25.494646          9.733341             41   \n",
       "77                      29.244122         12.350030             45   \n",
       "78                      67.246420         10.713534             50   \n",
       "79                     133.442150          7.464390             43   \n",
       "80                      53.265076         12.007465             35   \n",
       "81                      33.303150         11.094680             24   \n",
       "82                      27.407032         12.717109             38   \n",
       "83                      23.960148         11.756454             47   \n",
       "84                      38.000400         12.231091             36   \n",
       "85                      34.271670         11.310646             39   \n",
       "86                      15.232197         12.561722             24   \n",
       "87                      33.452710         10.644247             37   \n",
       "88                      41.324272          6.000246             44   \n",
       "89                      33.894447          7.648360             40   \n",
       "90                     101.048040          5.966961             78   \n",
       "91                       7.097964          6.509205             33   \n",
       "92                      12.602944          7.037396             41   \n",
       "93                      20.006475          9.957163             33   \n",
       "94                      37.590683         10.611046             41   \n",
       "95                      35.452450          9.296272             47   \n",
       "96                      35.360270          9.230638             46   \n",
       "97                     114.701935          6.022354             37   \n",
       "98                      33.827484          9.993157             38   \n",
       "99                      51.177210          9.385310             28   \n",
       "100                     26.950950          9.498656             44   \n",
       "101                     28.668740         12.498984             34   \n",
       "102                     42.352790         12.619679             36   \n",
       "103                     21.597630         10.273884             35   \n",
       "104                     19.384653         14.243726             30   \n",
       "105                     23.423298          9.281277             33   \n",
       "106                     40.059307          8.703465             30   \n",
       "107                     31.207224         12.261501             36   \n",
       "108                     27.793710          9.257340             30   \n",
       "109                     18.618977          8.835787             30   \n",
       "110                     30.649200         11.563694             31   \n",
       "111                     45.656757          9.930739             33   \n",
       "112                     42.109060         12.335719             32   \n",
       "113                     26.402690         10.072571             32   \n",
       "114                     36.016937         11.473841             37   \n",
       "115                     33.911945         11.503256             31   \n",
       "116                     46.369410         12.305615             36   \n",
       "117                     31.638092         10.073973             37   \n",
       "118                     33.992744         12.581964             31   \n",
       "119                     28.069153         13.384805             33   \n",
       "120                     19.840261         12.109360             28   \n",
       "121                     21.494928         10.334942             28   \n",
       "122                     25.792318         11.245581             32   \n",
       "123                     27.332155         11.543606             33   \n",
       "124                     19.215992         12.070896             33   \n",
       "125                     27.629011          9.241660             39   \n",
       "126                     20.970911          7.849872             35   \n",
       "127                     21.169132         10.250167             34   \n",
       "128                     17.038383         11.503132             32   \n",
       "129                     26.452654         13.179540             33   \n",
       "130                     31.986877          7.221937             35   \n",
       "131                     22.652689         12.974636             28   \n",
       "132                     28.588623         12.048347             33   \n",
       "133                     21.810621         14.314859             28   \n",
       "134                     51.421734         10.934627             27   \n",
       "135                     23.616040          9.869104             31   \n",
       "136                     21.734959         13.413638             32   \n",
       "137                     15.878060          9.420472             30   \n",
       "138                     22.496315         13.687766             27   \n",
       "139                     36.236350         10.184476             29   \n",
       "140                     27.042486         12.710707             28   \n",
       "141                     29.469551         10.538564             27   \n",
       "142                     20.411829          9.888267             30   \n",
       "143                     18.446056         14.033111             26   \n",
       "144                     57.409310          9.468037             29   \n",
       "145                     18.341215          9.906359             29   \n",
       "146                     21.817665         12.819188             31   \n",
       "147                     28.799316         10.979821             38   \n",
       "148                     32.811886         11.789685             31   \n",
       "149                     33.570730         11.268442             28   \n",
       "150                     27.488684         10.890220             36   \n",
       "151                     25.632950         12.413259             27   \n",
       "152                     45.358105          7.971917             27   \n",
       "153                     27.944197         13.257635             36   \n",
       "154                     29.266590          9.953301             27   \n",
       "155                     32.555073          8.467324             60   \n",
       "156                     26.541441         10.421639             23   \n",
       "157                     16.834894         14.110229             34   \n",
       "158                     16.405884         13.339468             19   \n",
       "159                     16.659698         13.222410             16   \n",
       "160                     18.866142         13.379221             32   \n",
       "161                     18.658587         12.049226             13   \n",
       "162                     42.713337          8.808087             20   \n",
       "163                     78.647920         14.295530             13   \n",
       "164                     29.576885          9.585760             19   \n",
       "165                     17.387747          9.318165             17   \n",
       "166                     17.505417         12.681064             14   \n",
       "167                     29.692558         12.752078             16   \n",
       "168                     36.146130          8.348312             18   \n",
       "169                     69.878494          6.778706             45   \n",
       "170                     35.534670         12.850597             19   \n",
       "171                     23.635355         12.566768             18   \n",
       "172                     38.367054          7.960407             18   \n",
       "173                     22.952213          8.232034             18   \n",
       "174                     25.694124          7.462355             16   \n",
       "175                     24.102695          7.856915             21   \n",
       "176                     27.183895          7.280120             18   \n",
       "177                     47.582542          7.282926             14   \n",
       "178                     33.886898         10.123017             16   \n",
       "179                     16.805750          9.832662             16   \n",
       "180                      4.892775          7.083002             16   \n",
       "181                     31.437725          8.075229             31   \n",
       "182                     40.408535          8.049422             19   \n",
       "183                     24.695745         11.399815             16   \n",
       "184                     27.745676         11.109265             20   \n",
       "185                     19.788568         11.426723             18   \n",
       "186                     21.563990          7.793538             12   \n",
       "187                     13.883574          8.939101             20   \n",
       "188                     42.990080          8.780297             37   \n",
       "189                     43.781890         10.280252             29   \n",
       "190                     14.265091         13.008264             18   \n",
       "191                     16.945797         10.336062             17   \n",
       "192                     15.647851          8.641102             20   \n",
       "193                     25.680681         11.167112             28   \n",
       "194                     23.706827         10.392663             26   \n",
       "195                     24.908497          5.725820             38   \n",
       "196                     26.105947          9.327244             29   \n",
       "197                     15.081251          9.689898             30   \n",
       "198                     24.870176          9.646523             28   \n",
       "199                     76.865520          8.568521             34   \n",
       "200                           NaN               NaN              0   \n",
       "201                     47.319588         10.667654             35   \n",
       "202                     49.684155          9.452606             30   \n",
       "203                      4.497609         10.866761             35   \n",
       "204                     29.207705          9.099060             28   \n",
       "205                     42.172000         10.591238             26   \n",
       "206                     20.349240          9.731183             28   \n",
       "207                     24.513378          9.067722             34   \n",
       "208                     27.340930          9.789982             38   \n",
       "209                     34.871685         11.066596             25   \n",
       "210                     33.059147          7.697408             51   \n",
       "211                     36.813545         10.669587             40   \n",
       "212                     29.018530         12.042884             43   \n",
       "213                     34.214850         10.717901             45   \n",
       "214                     50.605920         10.911300             40   \n",
       "215                     31.060122         11.955996             41   \n",
       "216                     35.528690         12.148978             40   \n",
       "217                     30.547749          9.810044             45   \n",
       "218                      4.571232          9.033012             34   \n",
       "219                     25.429650         10.011559             25   \n",
       "220                     25.064146          8.664393             28   \n",
       "221                     23.820782         10.069208             38   \n",
       "222                     27.446047         10.398166             31   \n",
       "223                     37.076010          9.024579             37   \n",
       "224                     49.990158          8.838716             34   \n",
       "225                     35.416008          9.140298             34   \n",
       "226                     43.548363         10.419481             37   \n",
       "227                     20.581268         11.848724             35   \n",
       "228                     46.513824          8.382200             36   \n",
       "229                     66.660740          9.432000             40   \n",
       "230                     25.154337         10.002472             29   \n",
       "231                     46.159107         10.061889             36   \n",
       "232                     20.625137          9.124761             32   \n",
       "233                     26.436403         11.718418             28   \n",
       "234                     17.324270          6.909298             40   \n",
       "235                     22.992167         10.073921             36   \n",
       "236                     30.950436          7.067868             33   \n",
       "237                     19.364650         11.956029             27   \n",
       "238                     28.916801          8.078546             26   \n",
       "239                     39.252705          9.199421             34   \n",
       "240                     26.164967          8.377727             32   \n",
       "241                     21.727318          8.652077             31   \n",
       "242                     23.068377         11.058259             29   \n",
       "243                           NaN               NaN              0   \n",
       "244                     23.993593          9.609350             48   \n",
       "245                     79.238266          5.853115             28   \n",
       "246                     38.113255          8.505033             27   \n",
       "247                     48.545616          5.888799             29   \n",
       "248                     23.997156          8.234567             26   \n",
       "249                     14.411362          7.646537             27   \n",
       "250                     16.572847         12.387394             25   \n",
       "251                     16.852858          8.343471             31   \n",
       "252                     21.113033          7.637935             34   \n",
       "253                     42.433490          9.683093             38   \n",
       "254                     29.904963          9.351013             34   \n",
       "255                     23.720310         10.427784             40   \n",
       "256                     79.757640          8.918674             33   \n",
       "257                     28.457947          6.816698             41   \n",
       "258                    155.336070          8.014052             60   \n",
       "259                     45.911180          6.896010             49   \n",
       "260                     31.912197          8.253131             36   \n",
       "261                     24.928799          6.821775             50   \n",
       "262                     59.710533          7.665446             39   \n",
       "263                     34.676243          6.757930             38   \n",
       "264                     33.314754          6.384145             30   \n",
       "265                    115.365210          6.899829             62   \n",
       "266                     57.556023          8.706022             44   \n",
       "267                     35.570550          8.008614             54   \n",
       "268                     19.925203          8.132953             44   \n",
       "269                     20.848623          6.257152             68   \n",
       "270                     59.316420          7.736504             42   \n",
       "271                     46.388382          7.042293             45   \n",
       "272                     26.336004          7.272029             28   \n",
       "273                     43.286290          7.491394             17   \n",
       "274                     25.526638          7.350191             27   \n",
       "275                     34.741560          9.984221             35   \n",
       "276                     46.700123          6.967029             45   \n",
       "277                     44.726913         10.319968             45   \n",
       "278                     29.632166         11.559835             25   \n",
       "279                     87.452790          5.624838             42   \n",
       "280                     22.460724          8.597416             42   \n",
       "281                     34.091545          8.694170             43   \n",
       "282                           NaN               NaN              0   \n",
       "\n",
       "     phot_rp_mean_flux  phot_rp_mean_flux_error  phot_rp_mean_flux_over_error  \\\n",
       "0         2.902172e+06             7.014619e+04                     41.373196   \n",
       "1         3.061282e+05             8.223948e+03                     37.223995   \n",
       "2         1.220303e+06             2.468729e+04                     49.430428   \n",
       "3         1.454528e+06             2.862643e+04                     50.810660   \n",
       "4         5.301419e+05             2.262595e+04                     23.430704   \n",
       "5         1.068623e+06             1.806881e+04                     59.141838   \n",
       "6         1.765859e+06             5.245641e+04                     33.663357   \n",
       "7         9.028376e+06             3.123240e+05                     28.907085   \n",
       "8         1.598697e+07             7.963224e+05                     20.076000   \n",
       "9         6.831717e+06             2.461781e+05                     27.751118   \n",
       "10        3.469135e+06             1.140610e+05                     30.414722   \n",
       "11        2.415743e+06             7.926660e+04                     30.476181   \n",
       "12        1.517323e+06             3.601858e+04                     42.126120   \n",
       "13        8.497201e+06             3.166232e+05                     26.836954   \n",
       "14        3.541826e+06             1.077330e+05                     32.875980   \n",
       "15        4.117728e+05             1.447765e+04                     28.441956   \n",
       "16        4.695095e+05             1.149638e+04                     40.839756   \n",
       "17        1.610870e+05             4.447291e+03                     36.221367   \n",
       "18        8.253698e+04             1.863098e+03                     44.300930   \n",
       "19        6.557045e+05             1.574339e+04                     41.649517   \n",
       "20        1.137713e+06             3.439048e+04                     33.082214   \n",
       "21        4.596272e+06             9.069115e+04                     50.680492   \n",
       "22        5.253955e+06             4.261005e+04                    123.303200   \n",
       "23        2.420058e+06             1.032166e+05                     23.446410   \n",
       "24        5.857666e+06             1.965971e+05                     29.795288   \n",
       "25        1.846095e+07             1.578368e+06                     11.696228   \n",
       "26        2.125099e+06             5.820423e+04                     36.511074   \n",
       "27        3.834257e+05             1.482853e+04                     25.857302   \n",
       "28        2.645119e+05             8.541893e+03                     30.966433   \n",
       "29        2.417085e+05             1.109719e+04                     21.781050   \n",
       "30        9.852641e+04             1.536445e+03                     64.126230   \n",
       "31        7.100084e+04             3.000086e+03                     23.666271   \n",
       "32        1.747556e+07             3.806738e+05                     45.906906   \n",
       "33        1.848808e+06             4.431741e+04                     41.717430   \n",
       "34        6.491426e+05             7.798187e+03                     83.242750   \n",
       "35        5.810238e+06             1.421222e+05                     40.881990   \n",
       "36        7.285542e+05             2.286344e+04                     31.865470   \n",
       "37        9.253404e+05             2.788594e+04                     33.183044   \n",
       "38        3.762607e+06             1.003195e+05                     37.506226   \n",
       "39        3.770821e+06             9.014315e+04                     41.831474   \n",
       "40        3.175664e+05             8.187294e+03                     38.787712   \n",
       "41        2.107551e+07             4.054443e+05                     51.981270   \n",
       "42        1.054486e+07             1.730958e+05                     60.919220   \n",
       "43        4.844122e+06             7.905322e+04                     61.276720   \n",
       "44        2.313728e+06             5.579073e+04                     41.471542   \n",
       "45        3.703036e+04             8.293123e+02                     44.651890   \n",
       "46        9.126811e+04             1.253199e+03                     72.828125   \n",
       "47        2.391252e+06             3.761503e+04                     63.571712   \n",
       "48        6.362256e+06             1.242012e+05                     51.225395   \n",
       "49        5.615222e+06             6.772423e+04                     82.913030   \n",
       "50        7.444376e+05             1.447616e+04                     51.425080   \n",
       "51        6.725497e+04             2.016233e+03                     33.356743   \n",
       "52        3.036976e+05             8.071484e+03                     37.625988   \n",
       "53        2.693777e+05             5.843428e+03                     46.099260   \n",
       "54        3.978151e+05             7.382200e+03                     53.888430   \n",
       "55        3.723239e+05             5.675225e+03                     65.605125   \n",
       "56        7.344760e+05             1.190228e+04                     61.708836   \n",
       "57        6.281499e+05             1.758627e+04                     35.718200   \n",
       "58        1.201157e+06             3.881446e+04                     30.946117   \n",
       "59        1.403597e+06             4.327064e+04                     32.437620   \n",
       "60        4.246247e+06             6.111143e+04                     69.483670   \n",
       "61        3.603132e+05             7.637670e+03                     47.175804   \n",
       "62        3.685182e+05             1.080204e+04                     34.115604   \n",
       "63        1.106454e+06             2.081398e+04                     53.159160   \n",
       "64        3.009226e+05             6.319256e+03                     47.619940   \n",
       "65        2.331529e+07             4.282189e+05                     54.447136   \n",
       "66        1.424237e+06             3.564509e+04                     39.956040   \n",
       "67        9.507851e+06             2.417568e+05                     39.328167   \n",
       "68        2.046569e+06             4.001172e+04                     51.149250   \n",
       "69        1.696019e+05             3.306078e+03                     51.300050   \n",
       "70        1.692814e+05             2.929950e+03                     57.776188   \n",
       "71        1.186686e+06             2.370303e+04                     50.064740   \n",
       "72        8.774609e+04             1.666600e+03                     52.649757   \n",
       "73        4.526774e+05             1.529550e+04                     29.595453   \n",
       "74        5.060116e+06             1.046017e+05                     48.375080   \n",
       "75        2.239172e+05             5.608775e+03                     39.922650   \n",
       "76        4.429191e+06             1.007128e+05                     43.978447   \n",
       "77        5.873231e+05             1.151982e+04                     50.983692   \n",
       "78        2.042128e+06             2.093441e+04                     97.548874   \n",
       "79        3.955145e+07             2.480120e+05                    159.473970   \n",
       "80        6.458857e+05             9.595097e+03                     67.314130   \n",
       "81        1.229599e+06             2.752486e+04                     44.672306   \n",
       "82        3.213180e+05             7.813175e+03                     41.125153   \n",
       "83        6.339150e+05             1.672836e+04                     37.894630   \n",
       "84        6.755783e+05             1.165398e+04                     57.969772   \n",
       "85        1.534614e+06             3.288369e+04                     46.667946   \n",
       "86        1.518536e+05             6.356415e+03                     23.889814   \n",
       "87        1.485098e+06             3.376452e+04                     43.983970   \n",
       "88        8.711964e+07             7.898332e+05                    110.301310   \n",
       "89        3.825527e+07             8.524656e+05                     44.876034   \n",
       "90        6.488427e+07             4.032366e+05                    160.908690   \n",
       "91        7.076962e+07             2.169504e+06                     32.620186   \n",
       "92        3.242149e+07             3.710689e+06                      8.737323   \n",
       "93        3.847890e+06             1.148532e+05                     33.502680   \n",
       "94        3.348065e+06             6.146208e+04                     54.473667   \n",
       "95        4.728216e+06             8.859315e+04                     53.370000   \n",
       "96        5.265501e+06             8.775979e+04                     59.999020   \n",
       "97        5.960540e+07             3.928160e+05                    151.738720   \n",
       "98        5.232460e+06             1.074721e+05                     48.686690   \n",
       "99        5.336232e+06             6.185162e+04                     86.274734   \n",
       "100       3.301203e+06             7.302777e+04                     45.204758   \n",
       "101       5.036630e+05             1.127041e+04                     44.688976   \n",
       "102       3.799780e+05             5.637347e+03                     67.403690   \n",
       "103       3.145707e+06             8.153524e+04                     38.580956   \n",
       "104       7.300534e+04             3.126280e+03                     23.352144   \n",
       "105       5.091142e+06             1.415500e+05                     35.967083   \n",
       "106       8.442970e+06             1.396368e+05                     60.463768   \n",
       "107       4.240801e+05             8.296103e+03                     51.117985   \n",
       "108       5.157976e+06             1.109011e+05                     46.509686   \n",
       "109       8.774517e+06             2.236111e+05                     39.240080   \n",
       "110       9.786143e+05             1.898662e+04                     51.542305   \n",
       "111       4.665759e+06             5.740299e+04                     81.280770   \n",
       "112       4.465594e+05             6.987535e+03                     63.907997   \n",
       "113       2.988480e+06             7.449952e+04                     40.114082   \n",
       "114       1.170249e+06             2.168129e+04                     53.975063   \n",
       "115       8.858645e+05             1.789156e+04                     49.512974   \n",
       "116       4.727784e+05             6.768121e+03                     69.853710   \n",
       "117       2.825496e+06             6.073562e+04                     46.521230   \n",
       "118       4.959484e+05             8.521198e+03                     58.201725   \n",
       "119       1.843135e+05             4.104129e+03                     44.909298   \n",
       "120       6.785138e+05             2.001264e+04                     33.904263   \n",
       "121       3.578071e+06             9.723390e+04                     36.798600   \n",
       "122       1.646234e+06             4.205833e+04                     39.141697   \n",
       "123       1.614363e+06             4.478824e+04                     36.044350   \n",
       "124       9.647794e+05             3.538718e+04                     27.263530   \n",
       "125       9.265611e+06             2.040141e+05                     45.416515   \n",
       "126       3.323984e+07             1.221588e+06                     27.210348   \n",
       "127       3.024627e+06             9.745626e+04                     31.035738   \n",
       "128       1.131941e+06             4.168396e+04                     27.155302   \n",
       "129       3.089351e+05             7.396503e+03                     41.767723   \n",
       "130       2.475563e+07             6.118919e+05                     40.457516   \n",
       "131       2.297719e+05             6.114752e+03                     37.576650   \n",
       "132       7.021208e+05             1.479295e+04                     47.463215   \n",
       "133       1.098054e+05             4.115690e+03                     26.679710   \n",
       "134       9.554459e+05             1.082727e+04                     88.244430   \n",
       "135       4.588715e+06             1.242697e+05                     36.925450   \n",
       "136       2.614700e+05             7.788451e+03                     33.571495   \n",
       "137       6.744537e+06             2.858368e+05                     23.595760   \n",
       "138       1.721159e+05             4.883802e+03                     35.242184   \n",
       "139       2.360546e+06             4.284779e+04                     55.091440   \n",
       "140       4.751029e+05             1.147379e+04                     41.407684   \n",
       "141       3.265262e+06             7.835205e+04                     41.674240   \n",
       "142       4.947849e+06             1.620675e+05                     30.529562   \n",
       "143       8.652148e+04             2.936499e+03                     29.464159   \n",
       "144       3.952759e+06             4.502459e+04                     87.791110   \n",
       "145       9.778543e+06             4.283269e+05                     22.829626   \n",
       "146       3.088466e+05             8.741766e+03                     35.330000   \n",
       "147       1.930863e+06             3.997027e+04                     48.307487   \n",
       "148       1.262261e+06             2.523841e+04                     50.013470   \n",
       "149       1.316725e+06             2.886838e+04                     45.611332   \n",
       "150       2.248458e+06             5.220642e+04                     43.068604   \n",
       "151       4.466239e+05             1.001385e+04                     44.600600   \n",
       "152       1.523705e+07             1.952410e+05                     78.042260   \n",
       "153       1.255784e+05             3.086140e+03                     40.691086   \n",
       "154       2.989225e+06             5.959555e+04                     50.158527   \n",
       "155       1.029249e+07             2.009183e+05                     51.227234   \n",
       "156       2.361886e+06             5.511012e+04                     42.857567   \n",
       "157       7.903963e+04             2.887989e+03                     27.368397   \n",
       "158       1.652589e+05             5.717352e+03                     28.904806   \n",
       "159       1.732482e+05             6.608251e+03                     26.216946   \n",
       "160       1.493897e+05             5.043835e+03                     29.618282   \n",
       "161       4.478230e+05             1.492257e+04                     30.009780   \n",
       "162       5.323696e+06             7.043057e+04                     75.587870   \n",
       "163       7.391881e+04             7.982583e+02                     92.600120   \n",
       "164       2.385252e+06             4.544348e+04                     52.488335   \n",
       "165       5.120551e+06             1.856810e+05                     27.577137   \n",
       "166       3.076915e+05             1.100444e+04                     27.960676   \n",
       "167       3.661449e+05             8.210862e+03                     44.592750   \n",
       "168       9.101609e+06             1.631506e+05                     55.786556   \n",
       "169       4.610428e+07             4.456396e+05                    103.456440   \n",
       "170       3.837936e+05             1.503559e+04                     25.525679   \n",
       "171       2.933176e+05             7.566130e+03                     38.767190   \n",
       "172       1.268428e+07             2.094022e+05                     60.573760   \n",
       "173       1.366567e+07             2.556534e+05                     53.453907   \n",
       "174       2.560230e+07             7.042575e+05                     36.353615   \n",
       "175       1.848780e+07             5.027952e+05                     36.770042   \n",
       "176       3.423093e+07             7.768923e+05                     44.061363   \n",
       "177       4.042383e+07             7.359520e+05                     54.927260   \n",
       "178       3.235698e+06             7.428295e+04                     43.559097   \n",
       "179       5.817548e+06             2.186073e+05                     26.611858   \n",
       "180       1.031119e+08             1.945327e+06                     53.004948   \n",
       "181       1.337618e+07             2.350023e+05                     56.919357   \n",
       "182       1.821842e+07             3.789922e+05                     48.070690   \n",
       "183       1.167698e+06             3.055453e+04                     38.216843   \n",
       "184       2.178985e+06             5.094299e+04                     42.773006   \n",
       "185       1.032572e+06             3.328556e+04                     31.021630   \n",
       "186       3.054887e+07             8.738495e+05                     34.958965   \n",
       "187       1.074240e+07             5.010427e+05                     21.440084   \n",
       "188       1.074994e+07             1.770048e+05                     60.732440   \n",
       "189       1.771347e+06             2.818132e+04                     62.855377   \n",
       "190       2.735251e+05             1.529874e+04                     17.878925   \n",
       "191       3.471368e+06             1.274692e+05                     27.232983   \n",
       "192       1.317246e+07             5.058032e+05                     26.042665   \n",
       "193       2.052218e+06             5.190495e+04                     39.538006   \n",
       "194       2.065583e+06             4.707576e+04                     43.877850   \n",
       "195       1.185033e+08             1.209207e+06                     98.000820   \n",
       "196       4.573443e+06             1.140002e+05                     40.117867   \n",
       "197       3.946070e+06             1.780923e+05                     22.157440   \n",
       "198       4.341653e+06             7.915996e+04                     54.846584   \n",
       "199       7.516270e+06             5.508631e+04                    136.445340   \n",
       "200                NaN                      NaN                           NaN   \n",
       "201       1.421271e+06             2.085486e+04                     68.150590   \n",
       "202       4.363691e+06             5.544382e+04                     78.704740   \n",
       "203       3.347728e+06             4.944003e+04                     67.712910   \n",
       "204       5.335626e+06             1.039413e+05                     51.333057   \n",
       "205       1.688451e+06             2.596928e+04                     65.017270   \n",
       "206       3.605107e+06             1.136106e+05                     31.732153   \n",
       "207       7.636902e+06             1.951037e+05                     39.142773   \n",
       "208       3.770270e+06             8.651913e+04                     43.577300   \n",
       "209       1.245297e+06             2.930411e+04                     42.495632   \n",
       "210       1.936089e+07             3.467974e+05                     55.827660   \n",
       "211       2.018661e+06             3.793524e+04                     53.213340   \n",
       "212       6.619620e+05             1.386536e+04                     47.742157   \n",
       "213       2.161397e+06             4.035477e+04                     53.559887   \n",
       "214       1.019411e+06             1.200679e+04                     84.902900   \n",
       "215       8.398048e+05             1.738377e+04                     48.309704   \n",
       "216       7.165665e+05             1.310831e+04                     54.665043   \n",
       "217       5.496274e+06             1.218660e+05                     45.100960   \n",
       "218       2.167202e+07             3.289273e+05                     65.886960   \n",
       "219       3.397763e+06             8.015243e+04                     42.391270   \n",
       "220       8.617476e+06             2.115564e+05                     40.733707   \n",
       "221       2.963565e+06             8.757362e+04                     33.840843   \n",
       "222       1.691801e+06             3.681970e+04                     45.948257   \n",
       "223       5.225909e+06             7.347697e+04                     71.123090   \n",
       "224       5.574227e+06             7.819497e+04                     71.286255   \n",
       "225       5.924163e+06             1.031921e+05                     57.409103   \n",
       "226       1.939275e+06             2.569494e+04                     75.473045   \n",
       "227       7.479153e+05             2.227590e+04                     33.575090   \n",
       "228       1.102677e+07             1.272440e+05                     86.658420   \n",
       "229       4.359781e+06             4.768215e+04                     91.434250   \n",
       "230       3.031603e+06             8.106341e+04                     37.397926   \n",
       "231       2.342969e+06             2.993882e+04                     78.258560   \n",
       "232       8.204723e+06             3.061783e+05                     26.797205   \n",
       "233       6.144616e+05             1.614450e+04                     38.060116   \n",
       "234       3.978215e+07             4.506593e+06                      8.827545   \n",
       "235       2.384862e+06             5.686350e+04                     41.940125   \n",
       "236       3.240106e+07             5.745015e+05                     56.398575   \n",
       "237       8.174324e+05             2.694104e+04                     30.341534   \n",
       "238       1.828232e+07             3.479413e+05                     52.544260   \n",
       "239       7.204425e+06             1.348084e+05                     53.441960   \n",
       "240       7.861892e+06             1.615370e+05                     48.669300   \n",
       "241       6.641241e+06             1.849512e+05                     35.908073   \n",
       "242       1.354730e+06             3.372379e+04                     40.171330   \n",
       "243                NaN                      NaN                           NaN   \n",
       "244       2.826892e+06             7.026971e+04                     40.229160   \n",
       "245       8.391114e+07             4.240860e+05                    197.863510   \n",
       "246       7.898171e+06             1.177669e+05                     67.066130   \n",
       "247       6.942926e+07             8.012782e+05                     86.648130   \n",
       "248       1.221825e+07             2.989399e+05                     40.871925   \n",
       "249       3.088712e+07             1.742446e+06                     17.726303   \n",
       "250       4.837914e+05             1.845352e+04                     26.216751   \n",
       "251       1.061318e+07             3.530293e+05                     30.063177   \n",
       "252       4.011452e+07             1.396477e+06                     28.725517   \n",
       "253       3.846588e+06             5.655288e+04                     68.017530   \n",
       "254       4.803282e+06             9.531189e+04                     50.395410   \n",
       "255       2.136770e+06             5.555329e+04                     38.463420   \n",
       "256       5.764106e+06             4.392297e+04                    131.232160   \n",
       "257       4.040380e+07             9.267169e+05                     43.598866   \n",
       "258       1.250053e+07             5.132667e+04                    243.548390   \n",
       "259       3.564285e+07             4.894481e+05                     72.822525   \n",
       "260       9.255845e+06             1.917367e+05                     48.273716   \n",
       "261       4.823391e+07             9.935034e+05                     48.549320   \n",
       "262       2.085462e+07             2.048480e+05                    101.805374   \n",
       "263       4.342427e+07             8.385193e+05                     51.786854   \n",
       "264       5.751341e+07             8.595146e+05                     66.913826   \n",
       "265       3.640726e+07             2.015034e+05                    180.678120   \n",
       "266       9.289996e+06             1.028917e+05                     90.289070   \n",
       "267       1.364057e+07             2.230425e+05                     61.156784   \n",
       "268       1.462361e+07             4.647868e+05                     31.463049   \n",
       "269       7.288526e+07             7.937313e+05                     91.826120   \n",
       "270       1.672138e+07             1.781755e+05                     93.847840   \n",
       "271       3.861089e+07             5.172193e+05                     74.650910   \n",
       "272       3.210144e+07             7.186786e+05                     44.667310   \n",
       "273       2.122855e+07             2.492246e+05                     85.178410   \n",
       "274       3.287354e+07             9.525453e+05                     34.511260   \n",
       "275       4.487365e+06             8.700720e+04                     51.574635   \n",
       "276       3.987361e+07             6.384179e+05                     62.456917   \n",
       "277       2.603145e+06             3.762697e+04                     69.182960   \n",
       "278       1.080410e+06             2.926586e+04                     36.917070   \n",
       "279       9.745444e+07             5.103934e+05                    190.939820   \n",
       "280       8.090354e+06             2.247483e+05                     35.997400   \n",
       "281       8.717963e+06             1.463242e+05                     59.579760   \n",
       "282                NaN                      NaN                           NaN   \n",
       "\n",
       "     phot_rp_mean_mag  phot_bp_rp_excess_factor  phot_proc_mode     bp_rp  \\\n",
       "0            8.605112                  1.207568               0  1.308304   \n",
       "1           11.047162                  1.334921               0  1.770353   \n",
       "2            9.545751                  1.237327               0  1.192707   \n",
       "3            9.355115                  1.251695               0  1.537028   \n",
       "4           10.450939                  1.319614               0  1.341910   \n",
       "5            9.689858                  1.240200               0  1.331224   \n",
       "6            9.144530                  1.175012               0  1.004030   \n",
       "7            7.372896                  1.357026               0  1.740544   \n",
       "8            6.752505                  1.289956               0  1.820247   \n",
       "9            7.675595                  1.306923               0  1.551905   \n",
       "10           8.411367                  1.271148               0  1.743402   \n",
       "11           8.804293                  1.255584               0  1.543869   \n",
       "12           9.309225                  1.277023               0  1.682949   \n",
       "13           7.438730                  1.283304               0  1.869371   \n",
       "14           8.388852                  1.291199               0  1.505706   \n",
       "15          10.725276                  1.347059               0  1.744887   \n",
       "16          10.582809                  1.346518               0  1.846210   \n",
       "17          11.744269                  1.337933               0  1.952945   \n",
       "18          12.470299                  1.360006               0  1.911760   \n",
       "19          10.220150                  1.298260               0  1.511369   \n",
       "20           9.621838                  1.232887               0  1.334778   \n",
       "21           8.105906                  1.313431               0  1.831714   \n",
       "22           7.960704                  1.236497               0  1.181460   \n",
       "23           8.802356                  1.336198               0  1.941199   \n",
       "24           7.842609                  1.404267               0  2.404222   \n",
       "25           6.596285                  0.808169               0  1.973203   \n",
       "26           8.943472                  1.260274               0  1.870931   \n",
       "27          10.802717                  1.322039               0  1.701379   \n",
       "28          11.205807                  1.316255               0  1.672069   \n",
       "29          11.303690                  1.274058               0  1.218421   \n",
       "30          12.278038                  1.304049               0  1.568897   \n",
       "31          12.633761                  1.250967               0  1.466758   \n",
       "32           6.655842                  1.225575               0  1.268622   \n",
       "33           9.094690                  1.270282               0  1.551070   \n",
       "34          10.231070                  1.342498               0  1.634654   \n",
       "35           7.851435                  1.291624               0  1.388309   \n",
       "36          10.105765                  1.434686               0  1.967992   \n",
       "37           9.846167                  1.291300               0  1.520311   \n",
       "38           8.323197                  1.308674               0  1.429611   \n",
       "39           8.320830                  1.345244               0  1.791305   \n",
       "40          11.007334                  1.367096               0  1.861438   \n",
       "41           6.452475                  1.227230               0  1.311726   \n",
       "42           7.204318                  1.173317               0  0.852503   \n",
       "43           8.048882                  1.274359               0  1.284473   \n",
       "44           8.851139                  1.241669               0  1.309134   \n",
       "45          13.340526                  1.261478               0  1.342846   \n",
       "46          12.361122                  1.260670               0  1.231410   \n",
       "47           8.815356                  1.265498               0  1.473043   \n",
       "48           7.752892                  1.279550               0  1.561884   \n",
       "49           7.888503                  1.275439               0  1.485294   \n",
       "50          10.082349                  1.309125               0  1.737283   \n",
       "51          12.692609                  1.352268               0  1.972161   \n",
       "52          11.055817                  1.353669               0  1.780553   \n",
       "53          11.186016                  1.360740               0  1.989192   \n",
       "54          10.762716                  1.335640               0  1.815460   \n",
       "55          10.834618                  1.366751               0  2.009687   \n",
       "56          10.096976                  1.335624               0  1.838210   \n",
       "57          10.266762                  1.356791               0  1.539713   \n",
       "58           9.562921                  1.342119               0  2.038279   \n",
       "59           9.393814                  1.338636               0  2.125665   \n",
       "60           8.191907                  1.333208               0  1.951711   \n",
       "61          10.870219                  1.375960               0  2.032949   \n",
       "62          10.845773                  1.443258               0  2.201688   \n",
       "63           9.652087                  1.260185               0  1.500978   \n",
       "64          11.065783                  1.361197               0  1.727402   \n",
       "65           6.342818                  1.276291               0  1.607459   \n",
       "66           9.377965                  1.292888               0  1.795888   \n",
       "67           7.316714                  1.471204               0  1.815474   \n",
       "68           8.984354                  1.358300               0  2.267060   \n",
       "69          11.688343                  1.363215               0  2.067489   \n",
       "70          11.690397                  1.253198               0  1.181482   \n",
       "71           9.576080                  1.266327               0  1.577887   \n",
       "72          12.403851                  1.311862               0  1.610392   \n",
       "73          10.622448                  1.237280               0  1.455485   \n",
       "74           8.001519                  1.340933               0  1.506534   \n",
       "75          11.386702                  1.307647               0  1.818116   \n",
       "76           8.146109                  1.302948               0  1.587233   \n",
       "77          10.339727                  1.394051               0  2.010303   \n",
       "78           8.986712                  1.306585               0  1.726822   \n",
       "79           5.769014                  1.290137               0  1.695376   \n",
       "80          10.236531                  1.294599               0  1.770934   \n",
       "81           9.537512                  1.260801               0  1.557168   \n",
       "82          10.994582                  1.347953               0  1.722527   \n",
       "83          10.256843                  1.329539               0  1.499611   \n",
       "84          10.187731                  1.346738               0  2.043361   \n",
       "85           9.296922                  1.330370               0  2.013724   \n",
       "86          11.808357                  1.215537               0  0.753365   \n",
       "87           9.332533                  1.220066               0  1.311714   \n",
       "88           4.911630                  1.461386               0  1.088617   \n",
       "89           5.805192                  1.267069               0  1.843169   \n",
       "90           5.231572                  1.152772               0  0.735389   \n",
       "91           5.137303                  0.837573               0  1.371902   \n",
       "92           5.984838                  1.744440               0  1.052558   \n",
       "93           8.298863                  1.375299               0  1.658299   \n",
       "94           8.449935                  1.322038               0  2.161111   \n",
       "95           8.075176                  1.265393               0  1.221096   \n",
       "96           7.958321                  1.246264               0  1.272318   \n",
       "97           5.323706                  1.166990               0  0.698648   \n",
       "98           7.965155                  1.351960               0  2.028002   \n",
       "99           7.943833                  1.254735               0  1.441477   \n",
       "100          8.465240                  1.244472               0  1.033417   \n",
       "101         10.506570                  1.336126               0  1.992414   \n",
       "102         10.812524                  1.328079               0  1.807156   \n",
       "103          8.517624                  1.261723               0  1.756260   \n",
       "104         12.603534                  1.326459               0  1.640192   \n",
       "105          7.994882                  1.304930               0  1.286395   \n",
       "106          7.445682                  1.235413               0  1.257783   \n",
       "107         10.693300                  1.273864               0  1.568201   \n",
       "108          7.980721                  1.272277               0  1.276619   \n",
       "109          7.403862                  4.093065               0  1.431925   \n",
       "110          9.785391                  1.305242               0  1.778303   \n",
       "111          8.089614                  1.320811               0  1.841126   \n",
       "112         10.637222                  1.300675               0  1.698497   \n",
       "113          8.573295                  1.265945               0  1.499276   \n",
       "114          9.591225                  1.323535               0  1.882616   \n",
       "115          9.893502                  1.281329               0  1.609754   \n",
       "116         10.575276                  1.321584               0  1.730339   \n",
       "117          8.634184                  1.265716               0  1.439789   \n",
       "118         10.523329                  1.388271               0  2.058636   \n",
       "119         11.598027                  1.335536               0  1.786778   \n",
       "120         10.183023                  1.398323               0  1.926336   \n",
       "121          8.377797                  1.346461               0  1.957145   \n",
       "122          9.220691                  1.342686               0  2.024890   \n",
       "123          9.241917                  1.398943               0  2.301689   \n",
       "124          9.800850                  1.395642               0  2.270046   \n",
       "125          7.344735                  3.078687               0  1.896925   \n",
       "126          5.957773                  1.284299               0  1.892099   \n",
       "127          8.560241                  1.320099               0  1.689926   \n",
       "128          9.627361                  1.298017               0  1.875771   \n",
       "129         11.037252                  1.402184               0  2.142287   \n",
       "130          6.277735                  1.205750               0  0.944201   \n",
       "131         11.358678                  1.325117               0  1.615958   \n",
       "132         10.145890                  1.366138               0  1.902457   \n",
       "133         12.160360                  1.403950               0  2.154499   \n",
       "134          9.811404                  1.217368               0  1.123222   \n",
       "135          8.107693                  1.346589               0  1.761412   \n",
       "136         11.218366                  1.428297               0  2.195272   \n",
       "137          7.689540                  1.376426               0  1.730932   \n",
       "138         11.672368                  1.354804               0  2.015398   \n",
       "139          8.829389                  1.237533               0  1.355087   \n",
       "140         10.569951                  1.419531               0  2.140756   \n",
       "141          8.477125                  1.316383               0  2.061439   \n",
       "142          8.025879                  1.382943               0  1.862388   \n",
       "143         12.419110                  1.316454               0  1.614000   \n",
       "144          8.269670                  1.241568               0  1.198367   \n",
       "145          7.286234                  1.539502               0  2.620124   \n",
       "146         11.037563                  1.342523               0  1.781625   \n",
       "147          9.047541                  1.341655               0  1.932281   \n",
       "148          9.509048                  1.343798               0  2.280638   \n",
       "149          9.463182                  1.310746               0  1.805260   \n",
       "150          8.882208                  1.299369               0  2.008012   \n",
       "151         10.637065                  1.365095               0  1.776194   \n",
       "152          6.804667                  1.229567               0  1.167249   \n",
       "153         12.014633                  1.234400               0  1.243002   \n",
       "154          8.573024                  1.283661               0  1.380278   \n",
       "155          7.230619                  1.247792               0  1.236705   \n",
       "156          8.828773                  1.275868               0  1.592867   \n",
       "157         12.517308                  1.324500               0  1.592920   \n",
       "158         11.716508                  1.279129               0  1.622960   \n",
       "159         11.665248                  1.318803               0  1.557162   \n",
       "160         11.826118                  1.273603               0  1.553103   \n",
       "161         10.634154                  1.285801               0  1.415072   \n",
       "162          7.946387                  1.201694               0  0.861701   \n",
       "163         12.590033                  1.313259               0  1.705498   \n",
       "164          8.818084                  1.220908               0  0.767676   \n",
       "165          7.988628                  1.314550               0  1.329536   \n",
       "166         11.041632                  1.364219               0  1.639432   \n",
       "167         10.852787                  1.371268               0  1.899291   \n",
       "168          7.364125                  1.171876               0  0.984188   \n",
       "169          5.602567                  1.247585               0  1.176139   \n",
       "170         10.801676                  1.472350               0  2.048922   \n",
       "171         11.093575                  1.292722               0  1.473193   \n",
       "172          7.003756                  1.196246               0  0.956651   \n",
       "173          6.922843                  1.224723               0  1.309191   \n",
       "174          6.241222                  1.193671               0  1.221132   \n",
       "175          6.594707                  1.223179               0  1.262208   \n",
       "176          5.925873                  1.177800               0  1.354247   \n",
       "177          5.745327                  1.211607               0  1.537600   \n",
       "178          8.486999                  1.302971               0  1.636018   \n",
       "179          7.850070                  1.347365               0  1.982592   \n",
       "180          4.728648                  1.101367               0  2.354354   \n",
       "181          6.946090                  1.211407               0  1.129139   \n",
       "182          6.610643                  1.227592               0  1.438779   \n",
       "183          9.593594                  1.299703               0  1.806221   \n",
       "184          8.916285                  1.309448               0  2.192981   \n",
       "185          9.727118                  1.261532               0  1.699605   \n",
       "186          6.049432                  1.307818               0  1.744106   \n",
       "187          7.184167                  1.196577               0  1.754934   \n",
       "188          7.183405                  1.242291               0  1.596892   \n",
       "189          9.141161                  1.219687               0  1.139091   \n",
       "190         11.169427                  1.350905               0  1.838837   \n",
       "191          8.410668                  1.312109               0  1.925393   \n",
       "192          6.962752                  1.212644               0  1.678349   \n",
       "193          8.981361                  1.393635               0  2.185751   \n",
       "194          8.974313                  1.303784               0  1.418350   \n",
       "195          4.577594                  1.146069               0  1.148225   \n",
       "196          8.111312                  1.259220               0  1.215932   \n",
       "197          8.271508                  1.362134               0  1.418390   \n",
       "198          8.167782                  1.258622               0  1.478742   \n",
       "199          7.571914                  1.199947               0  0.996606   \n",
       "200               NaN                       NaN               0       NaN   \n",
       "201          9.380228                  1.239876               0  1.287426   \n",
       "202          8.162285                  1.244702               0  1.290321   \n",
       "203          8.450045                  0.909731               0  2.416717   \n",
       "204          7.943956                  1.233053               0  1.155104   \n",
       "205          9.193198                  1.237756               0  1.398040   \n",
       "206          8.369624                  1.315568               0  1.361559   \n",
       "207          7.554627                  1.277870               0  1.513095   \n",
       "208          8.320989                  1.338424               0  1.468993   \n",
       "209          9.523738                  1.261697               0  1.542858   \n",
       "210          6.544607                  1.208049               0  1.152801   \n",
       "211          8.999262                  1.255621               0  1.670325   \n",
       "212         10.209837                  1.370237               0  1.833047   \n",
       "213          8.925083                  1.272035               0  1.792818   \n",
       "214          9.741046                  1.226067               0  1.170254   \n",
       "215          9.951474                  1.354487               0  2.004522   \n",
       "216         10.123778                  1.336775               0  2.025200   \n",
       "217          7.911749                  1.447752               0  1.898295   \n",
       "218          6.422172                  1.017587               0  2.610841   \n",
       "219          8.433937                  1.318399               0  1.577622   \n",
       "220          7.423470                  1.223051               0  1.240924   \n",
       "221          8.582384                  1.262466               0  1.486824   \n",
       "222          9.191047                  1.240259               0  1.207119   \n",
       "223          7.966515                  1.227764               0  1.058064   \n",
       "224          7.896459                  1.181910               0  0.942258   \n",
       "225          7.830352                  1.228573               0  1.309946   \n",
       "226          9.042821                  1.208805               0  1.376660   \n",
       "227         10.077289                  1.360375               0  1.771436   \n",
       "228          7.155799                  1.209196               0  1.226401   \n",
       "229          8.163259                  1.241658               0  1.268742   \n",
       "230          8.557739                  1.249780               0  1.444733   \n",
       "231          8.837503                  1.229556               0  1.224385   \n",
       "232          7.476760                  1.236853               0  1.648000   \n",
       "233         10.290683                  1.318551               0  1.427735   \n",
       "234          5.762699                  1.763640               0  1.146598   \n",
       "235          8.818262                  1.237195               0  1.255659   \n",
       "236          5.985522                  1.192978               0  1.082346   \n",
       "237          9.980790                  1.351721               0  1.975239   \n",
       "238          6.606842                  1.192936               0  1.471704   \n",
       "239          7.617922                  1.273272               0  1.581499   \n",
       "240          7.523102                  1.195171               0  0.854624   \n",
       "241          7.706297                  1.204968               0  0.945780   \n",
       "242          9.432288                  1.288779               0  1.625971   \n",
       "243               NaN                       NaN               0       NaN   \n",
       "244          8.633647                  1.233608               0  0.975703   \n",
       "245          4.952371                  1.174125               0  0.900743   \n",
       "246          7.518104                  1.180822               0  0.986929   \n",
       "247          5.158063                  1.119798               0  0.730735   \n",
       "248          7.044398                  1.210033               0  1.190169   \n",
       "249          6.037477                  3.470476               0  1.609061   \n",
       "250         10.550275                  1.417941               0  1.837119   \n",
       "251          7.197306                  1.239837               0  1.146164   \n",
       "252          5.753666                  1.212317               0  1.884269   \n",
       "253          8.299231                  1.258616               0  1.383862   \n",
       "254          8.058075                  1.249709               0  1.292938   \n",
       "255          8.937526                  1.218328               0  1.490258   \n",
       "256          7.860090                  1.217348               0  1.058584   \n",
       "257          5.745864                  1.129962               0  1.070834   \n",
       "258          7.019599                  1.199332               0  0.994453   \n",
       "259          5.881989                  1.167773               0  1.014021   \n",
       "260          7.345880                  1.186724               0  0.907251   \n",
       "261          5.553539                  1.133334               0  1.268237   \n",
       "262          6.463914                  1.217403               0  1.201532   \n",
       "263          5.667589                  1.195856               0  1.090342   \n",
       "264          5.362497                  1.194791               0  1.021648   \n",
       "265          5.858950                  1.210800               0  1.040879   \n",
       "266          7.341881                  1.247663               0  1.364141   \n",
       "267          6.924839                  1.215387               0  1.083775   \n",
       "268          6.849284                  1.160933               0  1.283669   \n",
       "269          5.105321                  1.175925               0  1.151831   \n",
       "270          6.703740                  1.211873               0  1.032764   \n",
       "271          5.795146                  1.199294               0  1.247148   \n",
       "272          5.995609                  1.219060               0  1.276420   \n",
       "273          6.444619                  1.210459               0  1.046775   \n",
       "274          5.969804                  1.258690               0  1.380387   \n",
       "275          8.131942                  1.324114               0  1.852280   \n",
       "276          5.760206                  1.177330               0  1.206823   \n",
       "277          8.723174                  1.242487               0  1.596794   \n",
       "278          9.677949                  1.341595               0  1.881887   \n",
       "279          4.789916                  1.164128               0  0.834922   \n",
       "280          7.492001                  1.180071               0  1.105415   \n",
       "281          7.410882                  1.247958               0  1.283287   \n",
       "282               NaN                       NaN               0       NaN   \n",
       "\n",
       "         bp_g      g_rp  radial_velocity  radial_velocity_error  \\\n",
       "0    0.628671  0.679633        58.927140              10.408811   \n",
       "1    0.845608  0.924746        79.010464               2.685823   \n",
       "2    0.527373  0.665334        56.480580               5.786506   \n",
       "3    0.745879  0.791149        55.546423               9.282690   \n",
       "4    0.554620  0.787291        48.092421               5.370854   \n",
       "5    0.614895  0.716330              NaN                    NaN   \n",
       "6    0.467441  0.536590        57.281902              11.546666   \n",
       "7    0.805558  0.934986        -9.888684               6.734073   \n",
       "8    0.920341  0.899906         7.669087               9.951633   \n",
       "9    0.709515  0.842390         4.032155               5.979935   \n",
       "10   0.878661  0.864740              NaN                    NaN   \n",
       "11   0.747340  0.796529              NaN                    NaN   \n",
       "12   0.829048  0.853901       106.573097               8.638671   \n",
       "13   0.963320  0.906052        70.021902               6.516397   \n",
       "14   0.690145  0.815561        63.484840               7.070208   \n",
       "15   0.816790  0.928098       139.591988               7.101557   \n",
       "16   0.893446  0.952764        88.553163               4.840434   \n",
       "17   0.982540  0.970405       117.805841               4.997744   \n",
       "18   0.932856  0.978905              NaN                    NaN   \n",
       "19   0.688187  0.823182        69.973036               8.158441   \n",
       "20   0.623678  0.711100        82.533649               6.066583   \n",
       "21   0.909446  0.922268       -26.769944               2.997266   \n",
       "22   0.520968  0.660492       -40.335048               2.087939   \n",
       "23   0.974819  0.966380       -60.710439               7.575931   \n",
       "24   1.296170  1.108052       -47.140292              18.803032   \n",
       "25   1.545670  0.427533        11.604876               3.281972   \n",
       "26   0.984175  0.886756              NaN                    NaN   \n",
       "27   0.804964  0.896415        12.557693               5.083714   \n",
       "28   0.788237  0.883832       -20.605532               5.238075   \n",
       "29   0.512021  0.706400       -25.418824               5.028320   \n",
       "30   0.723965  0.844933       -38.086167               4.891868   \n",
       "31   0.697425  0.769333              NaN                    NaN   \n",
       "32   0.586584  0.682038       -23.771607               2.302922   \n",
       "33   0.739798  0.811273              NaN                    NaN   \n",
       "34   0.739599  0.895055       -30.583962               4.952223   \n",
       "35   0.609047  0.779262        -9.889489               7.166802   \n",
       "36   0.918464  1.049528              NaN                    NaN   \n",
       "37   0.700294  0.820017        11.395819               4.741909   \n",
       "38   0.622903  0.806708              NaN                    NaN   \n",
       "39   0.852953  0.938353       -13.204834              11.356676   \n",
       "40   0.888584  0.972854       -19.174643               4.244808   \n",
       "41   0.613393  0.698332        -8.380047               3.225273   \n",
       "42   0.381523  0.470980       -18.572316               2.739634   \n",
       "43   0.554557  0.729916              NaN                    NaN   \n",
       "44   0.598983  0.710152       -47.112258               4.121758   \n",
       "45   0.604162  0.738684              NaN                    NaN   \n",
       "46   0.531833  0.699577              NaN                    NaN   \n",
       "47   0.689237  0.783806       -36.177072               4.229824   \n",
       "48   0.739573  0.822312              NaN                    NaN   \n",
       "49   0.689245  0.796049       -43.472780               4.856911   \n",
       "50   0.842154  0.895129       -69.665954               5.344413   \n",
       "51   0.985954  0.986207              NaN                    NaN   \n",
       "52   0.838102  0.942450       -54.382919               5.289603   \n",
       "53   0.992504  0.996688       -78.872550               5.903170   \n",
       "54   0.878935  0.936525       -60.002452               7.596918   \n",
       "55   1.003818  1.005868       -43.599898               4.212096   \n",
       "56   0.896184  0.942026       -57.736285               3.875046   \n",
       "57   0.660237  0.879476       -52.910824               2.995951   \n",
       "58   1.046135  0.992145       -56.861472               5.325680   \n",
       "59   1.118699  1.006966       -46.554114               6.517983   \n",
       "60   0.985421  0.966290       -46.699203               2.447434   \n",
       "61   1.014881  1.018068       -50.997059               4.438640   \n",
       "62   1.098572  1.103116       -43.582801               7.461979   \n",
       "63   0.713239  0.787740       -32.195008               7.505779   \n",
       "64   0.792480  0.934922       -72.558721               3.820652   \n",
       "65   0.774898  0.832561       -49.117012               3.767042   \n",
       "66   0.899499  0.896389       -32.764626               4.780954   \n",
       "67   0.773987  1.041488       -10.242087               6.221276   \n",
       "68   1.218034  1.049026       -27.596651               3.915882   \n",
       "69   1.052387  1.015101       -46.525808               4.405365   \n",
       "70   0.506416  0.675066              NaN                    NaN   \n",
       "71   0.762238  0.815649       -54.557121               3.384614   \n",
       "72   0.747160  0.863232      -119.174021              15.289972   \n",
       "73   0.701585  0.753900       -30.765972               9.956159   \n",
       "74   0.649689  0.856845              NaN                    NaN   \n",
       "75   0.903940  0.914176       -57.468940               3.498033   \n",
       "76   0.737957  0.849276       -55.705959               6.173008   \n",
       "77   0.982830  1.027473       -57.592941               2.839454   \n",
       "78   0.836509  0.890313       -51.278088               2.226636   \n",
       "79   0.827072  0.868305       -23.954382               0.894923   \n",
       "80   0.879343  0.891591       -18.513572               5.393438   \n",
       "81   0.752254  0.804915       -47.477435               5.486878   \n",
       "82   0.799488  0.923038       -44.190607               4.430108   \n",
       "83   0.654117  0.845494              NaN                    NaN   \n",
       "84   1.046430  0.996931       -61.339113               4.970079   \n",
       "85   1.036290  0.977434              NaN                    NaN   \n",
       "86   0.288715  0.464649      -165.238369              13.612693   \n",
       "87   0.619742  0.691972         9.056696               5.639090   \n",
       "88   0.281694  0.806922       -16.458683               3.978402   \n",
       "89   0.957162  0.886007        -2.680865               2.522002   \n",
       "90   0.336649  0.398740        -2.139313               0.965986   \n",
       "91   1.068266  0.303636       -12.111750               2.407374   \n",
       "92   0.067507  0.985051              NaN                    NaN   \n",
       "93   0.730553  0.927747        -7.008827               5.840704   \n",
       "94   1.160853  1.000258              NaN                    NaN   \n",
       "95   0.521146  0.699950       -23.452401               6.175785   \n",
       "96   0.570818  0.701500       -25.496704               4.155516   \n",
       "97   0.303892  0.394756        -4.341277               2.176760   \n",
       "98   1.030076  0.997926              NaN                    NaN   \n",
       "99   0.676736  0.764741              NaN                    NaN   \n",
       "100  0.422644  0.610773       -17.411404               8.225496   \n",
       "101  1.014851  0.977564              NaN                    NaN   \n",
       "102  0.878829  0.928327       -39.734129               4.444650   \n",
       "103  0.896313  0.859947              NaN                    NaN   \n",
       "104  0.756660  0.883533       -59.516013              12.042667   \n",
       "105  0.530078  0.756317       -40.061923               3.057311   \n",
       "106  0.570855  0.686928       -23.301080               2.878408   \n",
       "107  0.748898  0.819303       -73.655976               4.089006   \n",
       "108  0.551196  0.725423              NaN                    NaN   \n",
       "109 -0.613556  2.045481       -37.704798               4.327853   \n",
       "110  0.875970  0.902333              NaN                    NaN   \n",
       "111  0.910507  0.930618              NaN                    NaN   \n",
       "112  0.820534  0.877963       -71.827585               5.981310   \n",
       "113  0.707099  0.792177       -26.500116               5.480220   \n",
       "114  0.939948  0.942668       -39.678960               5.368126   \n",
       "115  0.772270  0.837483       -82.324137               5.690099   \n",
       "116  0.826721  0.903618       -83.534507               3.838786   \n",
       "117  0.666117  0.773672       -76.869857               2.938768   \n",
       "118  1.025572  1.033064       -55.968144               4.948496   \n",
       "119  0.857415  0.929362       -79.147909               5.469660   \n",
       "120  0.913955  1.012382       -70.632394               6.210298   \n",
       "121  0.978912  0.978232       -28.277462               8.936306   \n",
       "122  1.035091  0.989799       -53.641259               8.677755   \n",
       "123  1.214643  1.087046       -45.720812               5.793830   \n",
       "124  1.191050  1.078997              NaN                    NaN   \n",
       "125  0.034364  1.862562       -17.714554               3.074657   \n",
       "126  0.979902  0.912198         3.181571               4.344147   \n",
       "127  0.798144  0.891782         0.934613              10.315265   \n",
       "128  0.955840  0.919930              NaN                    NaN   \n",
       "129  1.081737  1.060551       -25.034481               7.073876   \n",
       "130  0.404245  0.539957        -1.501929               6.884880   \n",
       "131  0.740251  0.875708        -0.442748               6.552558   \n",
       "132  0.920799  0.981658        -9.146704               3.123032   \n",
       "133  1.090234  1.064265       -73.273438              13.434591   \n",
       "134  0.501393  0.621829       -15.164106               3.771283   \n",
       "135  0.829478  0.931933        -0.764033               7.028776   \n",
       "136  1.104657  1.090615       -20.376293               7.743201   \n",
       "137  0.783015  0.947917              NaN                    NaN   \n",
       "138  1.017850  0.997548      -133.102971               5.212274   \n",
       "139  0.633147  0.721940       -13.152885               5.759114   \n",
       "140  1.067151  1.073605         9.626803               5.735844   \n",
       "141  1.085530  0.975908              NaN                    NaN   \n",
       "142  0.876797  0.985591        15.650653               6.226415   \n",
       "143  0.745962  0.868038              NaN                    NaN   \n",
       "144  0.527258  0.671109         3.507707               5.169596   \n",
       "145  1.380815  1.239310              NaN                    NaN   \n",
       "146  0.847883  0.933742       -68.836522               5.108382   \n",
       "147  0.963474  0.968806              NaN                    NaN   \n",
       "148  1.240892  1.039746       -16.874064               4.209653   \n",
       "149  0.891663  0.913597              NaN                    NaN   \n",
       "150  1.057392  0.950620       -30.022753              10.957778   \n",
       "151  0.825710  0.950483       -69.116170               5.476627   \n",
       "152  0.518096  0.649153        -7.064127               3.875693   \n",
       "153  0.562172  0.680830        76.684997               5.650715   \n",
       "154  0.610339  0.769938              NaN                    NaN   \n",
       "155  0.546393  0.690312        46.381589               2.558675   \n",
       "156  0.764791  0.828076              NaN                    NaN   \n",
       "157  0.724215  0.868706        85.751349               0.973089   \n",
       "158  0.783648  0.839312              NaN                    NaN   \n",
       "159  0.703415  0.853747        95.842459               7.731648   \n",
       "160  0.738402  0.814700        80.630582               6.219442   \n",
       "161  0.632119  0.782952        68.376691              12.005314   \n",
       "162  0.360739  0.500962        50.277020               3.548861   \n",
       "163  0.815231  0.890266              NaN                    NaN   \n",
       "164  0.291646  0.476030        28.852823               4.842016   \n",
       "165  0.550561  0.778976              NaN                    NaN   \n",
       "166  0.725633  0.913799        35.444354               8.450403   \n",
       "167  0.914292  0.984999        72.318294               7.699745   \n",
       "168  0.458593  0.525595        -3.672116               2.742844   \n",
       "169  0.507910  0.668229         3.524471               2.008522   \n",
       "170  0.954018  1.094904        24.842289               7.976035   \n",
       "171  0.666232  0.806961        18.839178               5.699615   \n",
       "172  0.420086  0.536565        13.913278               4.262005   \n",
       "173  0.613940  0.695251        13.344258               3.445940   \n",
       "174  0.584520  0.636612        -5.977424               8.026530   \n",
       "175  0.584535  0.677674        14.871642               3.980214   \n",
       "176  0.686297  0.667949              NaN                    NaN   \n",
       "177  0.781624  0.755975        19.377589               2.823633   \n",
       "178  0.773033  0.862985         3.811406               5.487281   \n",
       "179  0.998056  0.984535         5.906765               4.220625   \n",
       "180  1.518141  0.836214        -0.399696               3.576916   \n",
       "181  0.510399  0.618740        12.858437               3.012009   \n",
       "182  0.698629  0.740150         2.556339               2.257236   \n",
       "183  0.901573  0.904648              NaN                    NaN   \n",
       "184  1.197117  0.995864              NaN                    NaN   \n",
       "185  0.854525  0.845080        24.899739               6.947814   \n",
       "186  0.848306  0.895800              NaN                    NaN   \n",
       "187  0.952883  0.802052              NaN                    NaN   \n",
       "188  0.796630  0.800262         6.595607               2.909758   \n",
       "189  0.509202  0.629889        33.736211               3.528210   \n",
       "190  0.884308  0.954529        28.949563               8.594248   \n",
       "191  0.982318  0.943075              NaN                    NaN   \n",
       "192  0.881845  0.796505       -13.281267               6.533926   \n",
       "193  1.123583  1.062168         7.487814               0.931820   \n",
       "194  0.619274  0.799076        97.002038               8.964545   \n",
       "195  0.582503  0.565722       -14.748833               1.894145   \n",
       "196  0.523145  0.692787        -2.679308               9.374521   \n",
       "197  0.571766  0.846624       -11.380968              17.356522   \n",
       "198  0.699103  0.779638        -8.260591               9.605231   \n",
       "199  0.440235  0.556371        18.077630               1.334912   \n",
       "200       NaN       NaN              NaN                    NaN   \n",
       "201  0.586276  0.701150        11.421220               6.306281   \n",
       "202  0.583956  0.706366       -12.217070               4.392587   \n",
       "203  1.778038  0.638679              NaN                    NaN   \n",
       "204  0.507387  0.647717        -2.852562               6.468162   \n",
       "205  0.661887  0.736153        -3.211718               5.521631   \n",
       "206  0.571092  0.790467        -1.075380              14.138813   \n",
       "207  0.706584  0.806511        -4.087644               3.974972   \n",
       "208  0.625602  0.843391        31.284451               5.831411   \n",
       "209  0.741353  0.801505        -8.560835               5.706160   \n",
       "210  0.528185  0.624616        26.315012               3.064788   \n",
       "211  0.838167  0.832158        14.952918              10.203984   \n",
       "212  0.864485  0.968562              NaN                    NaN   \n",
       "213  0.914844  0.877974        14.329658               7.293524   \n",
       "214  0.523085  0.647169        25.671283               6.327863   \n",
       "215  1.009542  0.994981        55.081470               1.760436   \n",
       "216  1.040126  0.985074        11.780697               3.116113   \n",
       "217  0.854596  1.043699        31.491871               7.927117   \n",
       "218  1.822297  0.788544         9.370789               2.501225   \n",
       "219  0.718296  0.859325        -1.409990               7.378575   \n",
       "220  0.570859  0.670065        26.421811               4.622618   \n",
       "221  0.701410  0.785414       -23.762887               4.035968   \n",
       "222  0.533983  0.673136              NaN                    NaN   \n",
       "223  0.452194  0.605870              NaN                    NaN   \n",
       "224  0.424797  0.517461        -7.302515               1.665084   \n",
       "225  0.611031  0.698915       -11.393930               9.969517   \n",
       "226  0.673135  0.703526       -13.486609               4.084723   \n",
       "227  0.825910  0.945526       -10.738821               3.564004   \n",
       "228  0.573873  0.652527       -18.781986               2.013362   \n",
       "229  0.572507  0.696235       -10.040196               3.010763   \n",
       "230  0.683269  0.761464       -10.703608               9.673512   \n",
       "231  0.554449  0.669936         6.143225               2.122544   \n",
       "232  0.838263  0.809738              NaN                    NaN   \n",
       "233  0.613456  0.814280       -11.672657               4.877230   \n",
       "234  0.113488  1.033111        18.100981               4.532586   \n",
       "235  0.567911  0.687748        -6.317801              10.392826   \n",
       "236  0.498187  0.584159       -20.556473               3.934843   \n",
       "237  0.988799  0.986440         7.123834               6.501499   \n",
       "238  0.752420  0.719284        23.708107               7.125902   \n",
       "239  0.758877  0.822622        11.352845               4.566715   \n",
       "240  0.362675  0.491950       -16.749554               3.107003   \n",
       "241  0.405866  0.539914        -4.072004               4.880106   \n",
       "242  0.777660  0.848310         9.556788               6.069134   \n",
       "243       NaN       NaN        -3.224565               2.622342   \n",
       "244  0.397857  0.577847        27.510312               4.448300   \n",
       "245  0.408067  0.492677        14.831363               1.106143   \n",
       "246  0.451953  0.534976        18.565460               3.071521   \n",
       "247  0.365677  0.365058        28.809397               2.003148   \n",
       "248  0.549980  0.640189         1.177489               3.914831   \n",
       "249 -0.310050  1.919110              NaN                    NaN   \n",
       "250  0.830421  1.006699        82.521446               5.043980   \n",
       "251  0.495830  0.650334        23.854219               3.530241   \n",
       "252  1.036515  0.847754        23.245876               4.731211   \n",
       "253  0.634151  0.749712        36.604143               3.956672   \n",
       "254  0.581315  0.711623              NaN                    NaN   \n",
       "255  0.742437  0.747821              NaN                    NaN   \n",
       "256  0.461761  0.596824        41.621806               1.806127   \n",
       "257  0.550082  0.520752         6.026501               3.278674   \n",
       "258  0.439516  0.554937       -25.235211               1.011822   \n",
       "259  0.480098  0.533923       -19.041625               2.474544   \n",
       "260  0.400200  0.507051       -12.225930               3.361264   \n",
       "261  0.671288  0.596949        -1.376339               2.654813   \n",
       "262  0.550614  0.650918         8.689985               1.573210   \n",
       "263  0.500467  0.589874         2.781700               3.107861   \n",
       "264  0.459820  0.561827         4.526675               4.995949   \n",
       "265  0.456915  0.583964        -6.966683               1.361004   \n",
       "266  0.630364  0.733777       -24.234218               2.198964   \n",
       "267  0.478856  0.604919       -24.929982               2.680091   \n",
       "268  0.655242  0.628427       -27.917091               3.436509   \n",
       "269  0.556840  0.594991       -18.034541               1.848622   \n",
       "270  0.451072  0.581692       -22.041258               1.440899   \n",
       "271  0.596178  0.650970         8.382274               2.349093   \n",
       "272  0.597457  0.678963       -15.758947               3.607254   \n",
       "273  0.460776  0.585999        11.611354               2.341834   \n",
       "274  0.631741  0.748646       -20.862981               5.575101   \n",
       "275  0.916285  0.935995         7.462246               4.585498   \n",
       "276  0.590329  0.616494        -4.734981               2.923299   \n",
       "277  0.796389  0.800405       -18.777262               5.851562   \n",
       "278  0.924674  0.957212       -20.474630               0.347776   \n",
       "279  0.380244  0.454678       -22.694182               0.913685   \n",
       "280  0.524163  0.581252        -3.774091               3.563892   \n",
       "281  0.576510  0.706777       -31.968746               2.960495   \n",
       "282       NaN       NaN         1.327235               2.932025   \n",
       "\n",
       "     rv_nb_transits  rv_template_teff  rv_template_logg  rv_template_fe_h  \\\n",
       "0                 4            4750.0               4.5              0.00   \n",
       "1                 7            4500.0               1.0             -0.75   \n",
       "2                 4            6000.0               3.5              0.00   \n",
       "3                 2            4750.0               4.5              0.00   \n",
       "4                 4            5250.0               4.5              0.00   \n",
       "5                 0               NaN               NaN               NaN   \n",
       "6                 2            5500.0               4.5              0.00   \n",
       "7                 7            4250.0               4.5              0.00   \n",
       "8                 9            4500.0               4.5              0.00   \n",
       "9                 6            4500.0               4.5              0.00   \n",
       "10                0               NaN               NaN               NaN   \n",
       "11                0               NaN               NaN               NaN   \n",
       "12                6            5750.0               1.5             -0.25   \n",
       "13               15            4250.0               4.5              0.00   \n",
       "14                6            4250.0               4.5              0.00   \n",
       "15                8            6000.0               3.5              0.00   \n",
       "16               12            5750.0               1.5             -0.50   \n",
       "17                8            6000.0               3.5              0.00   \n",
       "18                0               NaN               NaN               NaN   \n",
       "19                4            5000.0               4.5              0.00   \n",
       "20                7            4750.0               4.5              0.00   \n",
       "21                6            5750.0               2.0              0.25   \n",
       "22               16            6000.0               3.5              0.00   \n",
       "23                2            4250.0               4.5              0.00   \n",
       "24                3            3600.0               4.5              0.00   \n",
       "25               19            4500.0               4.5              0.00   \n",
       "26                0               NaN               NaN               NaN   \n",
       "27                6            6000.0               3.5              0.00   \n",
       "28                8            6000.0               3.5              0.00   \n",
       "29                7            6000.0               3.5              0.00   \n",
       "30                8            6500.0               3.5              0.00   \n",
       "31                0               NaN               NaN               NaN   \n",
       "32               12            5000.0               4.5              0.00   \n",
       "33                0               NaN               NaN               NaN   \n",
       "34                7            6000.0               3.5              0.00   \n",
       "35               15            4750.0               4.5              0.00   \n",
       "36                0               NaN               NaN               NaN   \n",
       "37               10            5000.0               4.5              0.00   \n",
       "38                0               NaN               NaN               NaN   \n",
       "39                4            4250.0               4.5              0.00   \n",
       "40                8            6000.0               3.5              0.00   \n",
       "41               18            5000.0               4.5              0.00   \n",
       "42               24            5750.0               1.0              0.00   \n",
       "43                0               NaN               NaN               NaN   \n",
       "44                4            4750.0               4.5              0.00   \n",
       "45                0               NaN               NaN               NaN   \n",
       "46                0               NaN               NaN               NaN   \n",
       "47               10            4500.0               4.5              0.00   \n",
       "48                0               NaN               NaN               NaN   \n",
       "49                4            5750.0               4.5              0.00   \n",
       "50                6            5500.0               4.5              0.00   \n",
       "51                0               NaN               NaN               NaN   \n",
       "52                7            6000.0               3.5              0.00   \n",
       "53               11            6000.0               3.5              0.00   \n",
       "54                2            6000.0               3.5              0.00   \n",
       "55               13            6000.0               3.5              0.00   \n",
       "56                4            6000.0               3.5              0.00   \n",
       "57                8            5250.0               4.5              0.00   \n",
       "58                7            5500.0               4.5              0.00   \n",
       "59                6            6000.0               3.5              0.00   \n",
       "60                9            3800.0               4.5              0.00   \n",
       "61               18            6000.0               3.5              0.00   \n",
       "62               11            6000.0               3.5              0.00   \n",
       "63                5            4750.0               4.5              0.00   \n",
       "64               23            6500.0               3.5              0.00   \n",
       "65               24            4250.0               4.5              0.00   \n",
       "66               12            6500.0               3.5              0.00   \n",
       "67               16            4250.0               4.5              0.00   \n",
       "68               12            4500.0               4.5              0.00   \n",
       "69               16            6500.0               3.5              0.00   \n",
       "70                0               NaN               NaN               NaN   \n",
       "71               25            4500.0               4.5              0.00   \n",
       "72                2            6000.0               3.5              0.00   \n",
       "73                4            5250.0               4.5              0.00   \n",
       "74                0               NaN               NaN               NaN   \n",
       "75               22            6000.0               3.5              0.00   \n",
       "76                9            4500.0               4.5              0.00   \n",
       "77               14            6000.0               3.5              0.00   \n",
       "78               13            6000.0               3.5              0.00   \n",
       "79               24            4250.0               4.5              0.00   \n",
       "80                8            5750.0               4.5              0.00   \n",
       "81                7            6250.0               4.5              0.00   \n",
       "82               20            6500.0               3.5              0.00   \n",
       "83                0               NaN               NaN               NaN   \n",
       "84                9            5250.0               4.5              0.00   \n",
       "85                0               NaN               NaN               NaN   \n",
       "86                4            6500.0               3.5             -1.50   \n",
       "87                6            5250.0               4.5              0.00   \n",
       "88               24            6250.0               1.0              0.25   \n",
       "89               18            4500.0               4.5              0.00   \n",
       "90               44            6250.0               2.0              0.25   \n",
       "91               22            5750.0               1.0              0.00   \n",
       "92                0               NaN               NaN               NaN   \n",
       "93                7            4500.0               4.5              0.00   \n",
       "94                0               NaN               NaN               NaN   \n",
       "95                8            5000.0               4.5              0.00   \n",
       "96               11            5000.0               4.5              0.00   \n",
       "97               22            6250.0               4.5              0.00   \n",
       "98                0               NaN               NaN               NaN   \n",
       "99                0               NaN               NaN               NaN   \n",
       "100               4            5500.0               4.5              0.00   \n",
       "101               0               NaN               NaN               NaN   \n",
       "102               7            6000.0               3.5              0.00   \n",
       "103               0               NaN               NaN               NaN   \n",
       "104               9            6000.0               3.5              0.00   \n",
       "105               4            5250.0               4.5              0.00   \n",
       "106              14            5000.0               4.5              0.00   \n",
       "107               8            6000.0               3.5              0.00   \n",
       "108               0               NaN               NaN               NaN   \n",
       "109              13            4500.0               4.5              0.00   \n",
       "110               0               NaN               NaN               NaN   \n",
       "111               0               NaN               NaN               NaN   \n",
       "112               5            6000.0               3.5              0.00   \n",
       "113               7            4250.0               4.5              0.00   \n",
       "114               8            4000.0               4.5              0.00   \n",
       "115               8            5000.0               4.5              0.00   \n",
       "116               7            6000.0               3.5              0.00   \n",
       "117               2            4500.0               4.5              0.00   \n",
       "118               9            6000.0               3.5              0.00   \n",
       "119              11            6500.0               3.5              0.00   \n",
       "120               4            6000.0               3.5              0.00   \n",
       "121               4            3800.0               4.5              0.00   \n",
       "122               5            4000.0               4.5              0.00   \n",
       "123               4            3700.0               4.5              0.00   \n",
       "124               0               NaN               NaN               NaN   \n",
       "125              19            4250.0               4.5              0.00   \n",
       "126              20            6000.0               1.0              0.00   \n",
       "127               4            4000.0               4.5              0.00   \n",
       "128               0               NaN               NaN               NaN   \n",
       "129               2            5500.0               3.5              0.00   \n",
       "130              20            5750.0               4.5              0.00   \n",
       "131               9            6000.0               3.5              0.00   \n",
       "132               5            6500.0               3.5              0.00   \n",
       "133               5            5500.0               3.5              0.00   \n",
       "134               6            5000.0               4.5              0.00   \n",
       "135               7            4250.0               4.5              0.00   \n",
       "136               5            6500.0               3.5              0.00   \n",
       "137               0               NaN               NaN               NaN   \n",
       "138               5            6000.0               3.5              0.00   \n",
       "139               6            4750.0               4.5              0.00   \n",
       "140               6            6000.0               3.5              0.00   \n",
       "141               0               NaN               NaN               NaN   \n",
       "142               5            3900.0               4.5              0.00   \n",
       "143               0               NaN               NaN               NaN   \n",
       "144               4            5000.0               2.5             -0.50   \n",
       "145               0               NaN               NaN               NaN   \n",
       "146               5            6000.0               3.5              0.00   \n",
       "147               0               NaN               NaN               NaN   \n",
       "148              10            6000.0               3.5              0.00   \n",
       "149               0               NaN               NaN               NaN   \n",
       "150               5            5500.0               3.5              0.00   \n",
       "151               6            6000.0               3.5              0.00   \n",
       "152               7            5000.0               4.5              0.00   \n",
       "153              10            6500.0               3.5              0.00   \n",
       "154               0               NaN               NaN               NaN   \n",
       "155              24            5000.0               4.5              0.00   \n",
       "156               0               NaN               NaN               NaN   \n",
       "157               4            6500.0               3.5              0.00   \n",
       "158               0               NaN               NaN               NaN   \n",
       "159               4            6000.0               3.5              0.00   \n",
       "160               9            6000.0               3.5              0.00   \n",
       "161               2            6000.0               3.5              0.00   \n",
       "162               5            5750.0               4.5              0.00   \n",
       "163               0               NaN               NaN               NaN   \n",
       "164               3            6500.0               4.5              0.00   \n",
       "165               0               NaN               NaN               NaN   \n",
       "166               5            6000.0               3.5              0.00   \n",
       "167               4            6000.0               3.5              0.00   \n",
       "168               9            5500.0               4.5              0.00   \n",
       "169              18            5000.0               4.5              0.00   \n",
       "170               3            6000.0               3.5              0.00   \n",
       "171               8            6500.0               3.5              0.00   \n",
       "172               3            6000.0               4.5              0.00   \n",
       "173              10            6250.0               2.0              0.00   \n",
       "174               6            5250.0               4.5              0.00   \n",
       "175               9            6000.0               3.5              0.00   \n",
       "176               0               NaN               NaN               NaN   \n",
       "177               9            5750.0               1.5              0.00   \n",
       "178               2            5750.0               4.5              0.00   \n",
       "179               3            4000.0               4.5              0.00   \n",
       "180               6            4250.0               4.5              0.00   \n",
       "181              16            5250.0               4.5              0.00   \n",
       "182               8            4750.0               4.5              0.00   \n",
       "183               0               NaN               NaN               NaN   \n",
       "184               0               NaN               NaN               NaN   \n",
       "185               2            4750.0               4.5              0.00   \n",
       "186               0               NaN               NaN               NaN   \n",
       "187               0               NaN               NaN               NaN   \n",
       "188              14            6000.0               3.5              0.00   \n",
       "189              10            5000.0               4.5              0.00   \n",
       "190               6            5500.0               3.5              0.00   \n",
       "191               0               NaN               NaN               NaN   \n",
       "192               8            4250.0               4.5              0.00   \n",
       "193               4            5250.0               4.5              0.00   \n",
       "194               2            5000.0               4.5              0.00   \n",
       "195              21            5500.0               4.5              0.00   \n",
       "196               4            6250.0               2.5              0.00   \n",
       "197               3            6000.0               1.5              0.00   \n",
       "198               4            5750.0               1.5              0.00   \n",
       "199              18            6000.0               2.5              0.00   \n",
       "200               0               NaN               NaN               NaN   \n",
       "201               5            5500.0               2.0              0.00   \n",
       "202               6            5750.0               2.0              0.00   \n",
       "203               0               NaN               NaN               NaN   \n",
       "204               5            5750.0               2.0              0.00   \n",
       "205               5            4750.0               2.0             -0.50   \n",
       "206               3            6500.0               2.0             -0.25   \n",
       "207              16            5750.0               1.5              0.00   \n",
       "208               5            6250.0               2.0              0.00   \n",
       "209               4            6250.0               2.0              0.00   \n",
       "210              27            6000.0               2.0              0.00   \n",
       "211               8            5750.0               2.0              0.00   \n",
       "212               0               NaN               NaN               NaN   \n",
       "213               3            5500.0               1.5              0.00   \n",
       "214               3            6500.0               2.5              0.00   \n",
       "215               2            6000.0               2.0              0.00   \n",
       "216              10            5500.0               1.5              0.00   \n",
       "217               7            5500.0               1.5              0.00   \n",
       "218              17            5750.0               2.0              0.00   \n",
       "219               8            6250.0               2.0              0.00   \n",
       "220              10            6250.0               2.0              0.00   \n",
       "221               8            6250.0               2.0              0.00   \n",
       "222               0               NaN               NaN               NaN   \n",
       "223               0               NaN               NaN               NaN   \n",
       "224              12            6500.0               2.5              0.00   \n",
       "225               3            6000.0               2.0              0.00   \n",
       "226               8            6250.0               2.5              0.25   \n",
       "227               5            6000.0               3.5              0.00   \n",
       "228              20            5750.0               2.0              0.00   \n",
       "229               5            6250.0               2.0              0.00   \n",
       "230               5            6000.0               2.0              0.00   \n",
       "231               8            6000.0               2.0              0.00   \n",
       "232               0               NaN               NaN               NaN   \n",
       "233               6            6500.0               2.5              0.00   \n",
       "234              17            5000.0               1.0              0.00   \n",
       "235               7            5750.0               2.0              0.00   \n",
       "236              14            6000.0               2.0              0.00   \n",
       "237               7            5250.0               1.0              0.00   \n",
       "238              13            5500.0               4.5              0.00   \n",
       "239              11            6000.0               2.0              0.00   \n",
       "240              16            5000.0               2.0             -0.25   \n",
       "241              12            6500.0               2.5              0.00   \n",
       "242               6            6500.0               2.5              0.00   \n",
       "243              15            5500.0               1.5              0.00   \n",
       "244              14            6250.0               2.0             -0.25   \n",
       "245              13            6250.0               2.0             -0.25   \n",
       "246               8            5000.0               2.0             -0.75   \n",
       "247              13            6000.0               2.0              0.00   \n",
       "248              14            5750.0               2.0              0.00   \n",
       "249               0               NaN               NaN               NaN   \n",
       "250               4            5500.0               1.0             -0.25   \n",
       "251              18            6500.0               2.0             -0.25   \n",
       "252              17            5250.0               0.5              0.00   \n",
       "253               6            4500.0               4.5              0.00   \n",
       "254               0               NaN               NaN               NaN   \n",
       "255               0               NaN               NaN               NaN   \n",
       "256               9            5750.0               4.5              0.00   \n",
       "257              19            6000.0               2.0              0.00   \n",
       "258              30            6000.0               2.0              0.25   \n",
       "259              27            6000.0               2.0              0.00   \n",
       "260              19            6000.0               3.5              0.00   \n",
       "261              24            5750.0               2.0              0.25   \n",
       "262              16            6250.0               2.0              0.00   \n",
       "263              22            6000.0               2.0              0.00   \n",
       "264              15            5750.0               2.0              0.00   \n",
       "265              24            6000.0               2.0              0.00   \n",
       "266              19            6250.0               2.0              0.00   \n",
       "267              30            6250.0               2.5              0.00   \n",
       "268              19            6000.0               2.0              0.25   \n",
       "269              32            5750.0               2.0              0.00   \n",
       "270              23            6500.0               2.5              0.00   \n",
       "271              20            5750.0               2.0              0.25   \n",
       "272              15            6000.0               2.0              0.00   \n",
       "273               7            6250.0               2.0              0.00   \n",
       "274              10            6250.0               2.5              0.00   \n",
       "275               3            6000.0               2.0              0.00   \n",
       "276              21            6000.0               2.0              0.00   \n",
       "277               4            6250.0               2.0              0.00   \n",
       "278               2            6000.0               2.0              0.00   \n",
       "279              18            6250.0               2.5              0.00   \n",
       "280              22            6750.0               2.0             -0.25   \n",
       "281              15            6000.0               2.0              0.25   \n",
       "282              19            6000.0               3.5              0.00   \n",
       "\n",
       "    phot_variable_flag           l          b     ecl_lon    ecl_lat  \\\n",
       "0             VARIABLE  229.127634   0.116586  114.813568 -36.007348   \n",
       "1             VARIABLE  212.823210  -0.196831  103.729065 -22.832129   \n",
       "2             VARIABLE  208.913477   0.857292  102.446024 -18.964273   \n",
       "3             VARIABLE  204.873650   0.957030  100.311911 -15.475369   \n",
       "4             VARIABLE  197.961536  -4.500560   91.863687 -12.275297   \n",
       "5             VARIABLE  198.073250   2.757383   98.303431  -8.723879   \n",
       "6             VARIABLE  193.269092   7.632289  100.068631  -2.124137   \n",
       "7             VARIABLE  359.021154  -1.356007  267.530681  -7.061059   \n",
       "8             VARIABLE   12.109011  -1.323249  274.026500   4.304083   \n",
       "9             VARIABLE   14.987641  -1.876778  275.959173   6.514246   \n",
       "10            VARIABLE   26.786086  -0.772340  281.189184  17.202230   \n",
       "11            VARIABLE  247.896884   1.065428  133.553072 -48.871576   \n",
       "12            VARIABLE  246.378308   0.128084  130.875374 -48.613313   \n",
       "13            VARIABLE  246.156145   0.106133  130.600754 -48.483741   \n",
       "14            VARIABLE  243.420654  -3.313461  124.014595 -49.069583   \n",
       "15            VARIABLE  244.776543   0.779646  129.729318 -47.064627   \n",
       "16            VARIABLE  239.905723  -4.923027  118.687778 -47.541393   \n",
       "17            VARIABLE  239.828250  -4.210251  119.413601 -47.020277   \n",
       "18            VARIABLE  238.261986  -2.661939  119.627978 -44.824995   \n",
       "19            VARIABLE  235.366770  -0.608690  119.163329 -41.292962   \n",
       "20            VARIABLE  237.378877   0.971864  122.528523 -41.737989   \n",
       "21            VARIABLE  327.501492  -0.683573  248.837020 -33.404637   \n",
       "22            VARIABLE  329.456250  -2.119911  251.581370 -32.638266   \n",
       "23            VARIABLE  335.179721  -3.746951  256.815042 -28.754486   \n",
       "24            VARIABLE  340.388437  -0.744758  257.077080 -22.751125   \n",
       "25            VARIABLE  166.617655  -5.385878   75.150041  14.209757   \n",
       "26            VARIABLE  167.279787   0.939579   81.093133  16.983124   \n",
       "27            VARIABLE  172.458315   4.259826   86.779038  14.191648   \n",
       "28            VARIABLE  172.226682   3.995884   86.424391  14.261377   \n",
       "29            VARIABLE  165.694653   6.685393   85.504177  21.243929   \n",
       "30            VARIABLE  165.948740  -3.893775   76.080935  15.574156   \n",
       "31            VARIABLE  165.034523  -2.177987   77.083859  17.262914   \n",
       "32            VARIABLE  165.773450  -1.275840   78.294390  17.114688   \n",
       "33            VARIABLE  164.884692  -0.990854   78.056313  18.019830   \n",
       "34            VARIABLE  162.993541  -3.288069   74.948503  18.383603   \n",
       "35            VARIABLE  162.590074  -1.514606   76.295963  19.681754   \n",
       "36            VARIABLE  160.532439   1.980497   78.298405  23.284249   \n",
       "37            VARIABLE  158.873475  -6.355418   69.825885  20.077427   \n",
       "38            VARIABLE  158.984561   5.889978   81.107960  26.628296   \n",
       "39            VARIABLE  154.138902  -0.872740   71.799387  27.084897   \n",
       "40            VARIABLE  151.719470   3.786109   74.701595  31.685293   \n",
       "41            VARIABLE  153.992062   8.715022   81.050981  32.328761   \n",
       "42            VARIABLE  118.930470 -11.396183   31.186433  43.418170   \n",
       "43            VARIABLE  117.782583  -6.248774   33.207845  48.498758   \n",
       "44            VARIABLE  118.185536  -4.112781   35.352016  50.163630   \n",
       "45            VARIABLE  123.775127  -7.423265   39.707448  44.403079   \n",
       "46            VARIABLE  121.489708  -4.222279   39.548829  48.327661   \n",
       "47            VARIABLE  122.738667  -2.743789   42.370682  48.832986   \n",
       "48            VARIABLE  120.266734  -2.548686   39.405624  50.397096   \n",
       "49            VARIABLE  119.905104  -1.927520   39.470428  51.114550   \n",
       "50            VARIABLE  116.845568  -1.315166   35.767401  53.254200   \n",
       "51            VARIABLE  118.747121  -1.789163   38.030418  51.859337   \n",
       "52            VARIABLE  118.412630  -1.557028   37.771584  52.233949   \n",
       "53            VARIABLE  117.218703  -0.468807   37.038172  53.787834   \n",
       "54            VARIABLE  119.400230   0.523465   41.032130  53.427486   \n",
       "55            VARIABLE  121.223451  -0.548753   42.459081  51.499197   \n",
       "56            VARIABLE  120.865058   0.108443   42.612975  52.241707   \n",
       "57            VARIABLE  136.558051  -3.109309   56.522832  39.422330   \n",
       "58            VARIABLE  135.939970  -1.412019   57.588390  41.034941   \n",
       "59            VARIABLE  135.077307  -1.668509   56.553798  41.487282   \n",
       "60            VARIABLE  134.837338  -1.178680   56.808385  41.998554   \n",
       "61            VARIABLE  141.270622   2.021586   65.523554  39.190448   \n",
       "62            VARIABLE  141.247842   3.320905   66.845321  39.997554   \n",
       "63            VARIABLE  136.035063   1.508969   60.598539  42.915176   \n",
       "64            VARIABLE  135.372582   3.230702   61.817148  44.536023   \n",
       "65            VARIABLE  145.896551   4.705023   71.733468  37.030489   \n",
       "66            VARIABLE  145.910199   4.917749   71.963649  37.138741   \n",
       "67            VARIABLE  144.853190   3.798686   70.054226  37.369639   \n",
       "68            VARIABLE  143.760987   3.929711   69.391056  38.334253   \n",
       "69            VARIABLE  140.857548   5.300839   68.644994  41.485080   \n",
       "70            VARIABLE  132.820697  -4.309004   51.945061  41.202518   \n",
       "71            VARIABLE  130.358542  -2.120220   51.530118  44.479819   \n",
       "72            VARIABLE  129.920596  -2.508838   50.709909  44.489076   \n",
       "73            VARIABLE  133.579020  -3.093178   53.795036  41.554682   \n",
       "74            VARIABLE  132.801698  -2.957147   53.176168  42.193983   \n",
       "75            VARIABLE  132.927488  -2.069701   54.139313  42.740422   \n",
       "76            VARIABLE  129.029963  -4.569301   47.892655  43.524515   \n",
       "77            VARIABLE  125.849144  -1.111729   47.590204  48.214955   \n",
       "78            VARIABLE  129.549811  -0.730724   52.035560  46.047549   \n",
       "79            VARIABLE  127.502720   1.089017   51.657841  48.774519   \n",
       "80            VARIABLE  127.934482   2.580464   53.709769  49.555981   \n",
       "81            VARIABLE  131.675194   1.775580   56.765653  46.325606   \n",
       "82            VARIABLE  131.367323   4.095753   58.972209  48.123692   \n",
       "83            VARIABLE  125.488046  -1.552897   46.751890  48.104298   \n",
       "84            VARIABLE  122.381724   0.676800   45.137428  51.784183   \n",
       "85            VARIABLE  125.366684   2.839189   51.060429  51.508306   \n",
       "86            VARIABLE   56.001027 -22.395839  318.675558  24.939572   \n",
       "87            VARIABLE   55.087895  -7.605344  306.580836  35.475457   \n",
       "88            VARIABLE   55.168212  -6.119235  305.350305  36.582089   \n",
       "89            VARIABLE   56.074313  -0.289236  300.682111  41.233456   \n",
       "90            VARIABLE   76.548739 -10.782419  331.825877  45.135181   \n",
       "91            VARIABLE   72.132363 -10.151816  326.009486  43.715983   \n",
       "92            VARIABLE   76.870426  -4.262624  327.960690  51.133963   \n",
       "93            VARIABLE   82.894949  -4.624814  337.175943  53.216017   \n",
       "94            VARIABLE   82.176711  -3.490631  335.374657  54.027443   \n",
       "95            VARIABLE   91.520103  -8.510721  352.299934  51.393201   \n",
       "96            VARIABLE   92.972946  -9.258542  354.692921  50.792298   \n",
       "97            VARIABLE   83.621648  -7.950070  339.995851  50.294359   \n",
       "98            VARIABLE   85.518562  -4.890878  341.495818  53.767255   \n",
       "99            VARIABLE   88.957138  -3.037572  346.538003  56.390967   \n",
       "100           VARIABLE   98.718749  -4.028870    4.199978  56.085832   \n",
       "101           VARIABLE   97.144727  -1.126655    1.502426  59.053380   \n",
       "102           VARIABLE  115.684014  -4.068915   31.926356  51.404014   \n",
       "103           VARIABLE  115.287318  -3.246776   31.969148  52.316120   \n",
       "104           VARIABLE  106.316448  -4.794416   17.071914  54.107559   \n",
       "105           VARIABLE  106.468210  -2.573567   18.354710  56.209571   \n",
       "106           VARIABLE  106.568520  -2.504927   18.561968  56.248048   \n",
       "107           VARIABLE  102.211582  -2.184060   10.915126  57.523181   \n",
       "108           VARIABLE  105.639068  -2.010605   17.174226  56.971715   \n",
       "109           VARIABLE  105.760131  -1.624698   17.573789  57.313142   \n",
       "110           VARIABLE  105.050677   0.378790   17.258350  59.432067   \n",
       "111           VARIABLE  107.636226   0.335377   22.041728  58.636552   \n",
       "112           VARIABLE  108.696070  -1.929522   22.517499  56.149179   \n",
       "113           VARIABLE  109.673869  -1.607608   24.362903  56.114159   \n",
       "114           VARIABLE  113.795281  -2.185373   30.548446  53.935146   \n",
       "115           VARIABLE  116.579480  -0.993590   35.655518  53.666205   \n",
       "116           VARIABLE  116.325368   0.011444   36.154874  54.660790   \n",
       "117           VARIABLE  116.805299   0.488863   37.294584  54.820138   \n",
       "118           VARIABLE  108.297224   1.077493   23.729562  59.112437   \n",
       "119           VARIABLE  112.845053   0.080045   30.812048  56.387080   \n",
       "120           VARIABLE  114.694440   0.657218   34.238113  56.035400   \n",
       "121           VARIABLE  114.467018   0.782492   33.990820  56.255462   \n",
       "122           VARIABLE  115.479923   1.096707   35.848768  56.025413   \n",
       "123           VARIABLE  112.950175   1.622296   32.270671  57.713896   \n",
       "124           VARIABLE  113.872795   1.958020   34.085018  57.571558   \n",
       "125           VARIABLE   63.858070  -1.281809  309.227170  46.076535   \n",
       "126           VARIABLE   63.946922   0.321952  307.733355  47.313625   \n",
       "127           VARIABLE   66.521997  -0.088969  311.000831  48.737061   \n",
       "128           VARIABLE   67.062022   0.589435  310.944698  49.603377   \n",
       "129           VARIABLE   67.942094   0.384600  312.187884  50.019154   \n",
       "130           VARIABLE   64.760217   2.505777  306.336681  49.451405   \n",
       "131           VARIABLE   66.580922   3.488537  307.313863  51.422313   \n",
       "132           VARIABLE   70.222280   2.095078  313.253372  52.790595   \n",
       "133           VARIABLE   68.410138   3.024247  309.996392  52.321333   \n",
       "134           VARIABLE   66.876230   5.327144  305.556371  52.940980   \n",
       "135           VARIABLE   70.923834  -0.633393  316.865653  51.064936   \n",
       "136           VARIABLE   69.942081   0.493184  314.528781  51.365704   \n",
       "137           VARIABLE   71.069156   1.429769  315.033885  52.797759   \n",
       "138           VARIABLE   71.643641   3.396038  313.729938  54.695497   \n",
       "139           VARIABLE   74.145009   2.263571  318.395729  55.298817   \n",
       "140           VARIABLE   74.487220   0.652725  320.460364  54.162583   \n",
       "141           VARIABLE   84.802500   1.383313  336.719233  59.514159   \n",
       "142           VARIABLE   84.445783   3.976437  334.127243  61.803383   \n",
       "143           VARIABLE   75.257052   4.260734  317.936616  57.569676   \n",
       "144           VARIABLE   77.216590   8.761647  315.672846  62.341418   \n",
       "145           VARIABLE   84.349989  -2.301725  338.216793  55.888456   \n",
       "146           VARIABLE   88.346113  -0.559983  344.421383  58.676122   \n",
       "147           VARIABLE   90.466812   0.689687  348.000375  60.338571   \n",
       "148           VARIABLE   84.959960   1.461330  336.958740  59.641268   \n",
       "149           VARIABLE   87.504338   1.602737  341.729511  60.555993   \n",
       "150           VARIABLE  100.438389   1.067634    8.407201  60.998574   \n",
       "151           VARIABLE  104.185969   0.291101   15.564378  59.558740   \n",
       "152           VARIABLE  103.414622   4.906917   16.310606  64.225256   \n",
       "153           VARIABLE  232.204932  -7.268798  109.456014 -42.856200   \n",
       "154           VARIABLE  231.162012  -1.103313  115.185932 -38.360731   \n",
       "155           VARIABLE  226.008809   0.278228  112.664704 -33.431537   \n",
       "156           VARIABLE  221.769426  -1.854478  107.697996 -31.216146   \n",
       "157           VARIABLE  220.071232  -2.878648  105.610281 -30.372445   \n",
       "158           VARIABLE  221.654092  -0.084277  109.315705 -30.115761   \n",
       "159           VARIABLE  221.456349   0.993459  110.197932 -29.332401   \n",
       "160           VARIABLE  219.973896  -3.768097  104.682092 -30.774853   \n",
       "161           VARIABLE  215.689857  -3.290798  102.531259 -26.906504   \n",
       "162           VARIABLE  215.131283   1.809733  106.931607 -23.665321   \n",
       "163           VARIABLE  212.525386  -5.505216   98.601075 -25.354299   \n",
       "164           VARIABLE  205.173567   6.001361  104.891846 -13.059350   \n",
       "165           VARIABLE  199.766223  -4.417909   92.849479 -13.799033   \n",
       "166           VARIABLE  195.930066  -3.850050   91.420600 -10.192209   \n",
       "167           VARIABLE  201.265111   2.957069  100.142904 -11.354909   \n",
       "168           VARIABLE  188.806096  -5.323559   86.595643  -4.740087   \n",
       "169           VARIABLE  179.485014 -18.741194   70.392750  -3.499118   \n",
       "170           VARIABLE  181.609710  -0.948855   86.821316   3.667923   \n",
       "171           VARIABLE  177.863418   1.609728   87.170780   8.190919   \n",
       "172           VARIABLE  176.082364   5.935420   90.099050  11.872920   \n",
       "173           VARIABLE  354.359028   0.173152  263.826380 -10.326913   \n",
       "174           VARIABLE    8.114163  -2.437789  272.998405   0.288058   \n",
       "175           VARIABLE   13.758472  -7.958443  280.596149   2.376358   \n",
       "176           VARIABLE   14.668573  -9.007219  281.958540   2.616319   \n",
       "177           VARIABLE   13.706295  -4.459637  277.549059   4.105511   \n",
       "178           VARIABLE   20.623484   1.739649  275.675639  13.203995   \n",
       "179           VARIABLE   23.964056  -0.858324  279.735314  14.749396   \n",
       "180           VARIABLE   20.598392  10.120471  268.085341  17.283464   \n",
       "181           VARIABLE   29.423981 -18.605506  297.895383   9.393806   \n",
       "182           VARIABLE   28.198576  -7.127352  287.552177  14.966448   \n",
       "183           VARIABLE   27.155337  -0.440563  281.096068  17.690611   \n",
       "184           VARIABLE   28.050844   0.108258  281.098389  18.740906   \n",
       "185           VARIABLE   32.962072  -1.660473  285.497441  21.940281   \n",
       "186           VARIABLE   36.005608  -3.141169  288.669805  23.639155   \n",
       "187           VARIABLE   35.603161  -2.343923  287.703324  23.757482   \n",
       "188           VARIABLE   38.538827  -3.114904  290.241769  25.726983   \n",
       "189           VARIABLE   50.494427  -9.273851  304.210325  31.059154   \n",
       "190           VARIABLE   41.348207  -2.170403  291.218018  28.557761   \n",
       "191           VARIABLE   43.889535  -2.627362  293.375093  30.326294   \n",
       "192           VARIABLE   44.343138   0.888845  290.366522  32.775512   \n",
       "193           VARIABLE   46.187875   1.642552  290.923976  34.713192   \n",
       "194           VARIABLE   43.339767   6.800906  283.764368  35.228673   \n",
       "195           VARIABLE   49.204962   6.363258  288.223142  39.883414   \n",
       "196           VARIABLE  296.530921  -5.268526  221.712985 -58.957416   \n",
       "197           VARIABLE  291.288012  -4.879380  212.355052 -61.369019   \n",
       "198           VARIABLE  291.420235  -3.858976  211.629252 -60.402618   \n",
       "199           VARIABLE  286.854948  -8.911838  207.276726 -66.916176   \n",
       "200           VARIABLE  287.234728  -3.234658  203.223273 -61.503614   \n",
       "201           VARIABLE  288.003193  -2.091907  203.887458 -60.165553   \n",
       "202           VARIABLE  287.674426  -2.256511  203.381307 -60.434138   \n",
       "203           VARIABLE  287.285064  -2.314926  202.677779 -60.621127   \n",
       "204           VARIABLE  285.772712  -3.304805  200.349369 -62.040468   \n",
       "205           VARIABLE  284.739254  -1.951135  197.471851 -61.031435   \n",
       "206           VARIABLE  285.593511  -1.756690  199.048978 -60.612313   \n",
       "207           VARIABLE  285.581425  -1.389442  198.816092 -60.263292   \n",
       "208           VARIABLE  281.573180  -3.056758  191.417815 -62.796823   \n",
       "209           VARIABLE  283.556837  -1.292544  194.790627 -60.676797   \n",
       "210           VARIABLE  275.249526 -12.285248  176.346446 -72.442214   \n",
       "211           VARIABLE  279.028547  -1.369459  185.561213 -61.447076   \n",
       "212           VARIABLE  277.097121  -0.774192  181.492097 -60.954815   \n",
       "213           VARIABLE  276.096845  -0.613226  179.434683 -60.800502   \n",
       "214           VARIABLE  274.010967  -2.688400  174.834727 -62.783694   \n",
       "215           VARIABLE  274.137814  -2.233190  175.183942 -62.339415   \n",
       "216           VARIABLE  275.524109  -0.759456  178.253080 -60.936486   \n",
       "217           VARIABLE  273.221401   1.334685  173.927596 -58.707833   \n",
       "218           VARIABLE  271.863115  -2.558834  170.233604 -62.411852   \n",
       "219           VARIABLE  268.813036  -4.788253  162.611785 -63.974537   \n",
       "220           VARIABLE  265.493629  -2.179080  157.481464 -60.496641   \n",
       "221           VARIABLE  296.824698  -3.236110  219.983975 -57.119071   \n",
       "222           VARIABLE  295.962271  -1.051196  216.545663 -55.739298   \n",
       "223           VARIABLE  294.950368  -0.917737  214.867113 -56.136357   \n",
       "224           VARIABLE  292.792336  -0.206412  210.828169 -56.523711   \n",
       "225           VARIABLE  292.570938   0.388426  209.998940 -56.086413   \n",
       "226           VARIABLE  296.384739  -0.718514  216.878752 -55.235811   \n",
       "227           VARIABLE  294.180686   2.707254  210.741412 -53.296770   \n",
       "228           VARIABLE  291.472664  -1.111836  209.360458 -57.912894   \n",
       "229           VARIABLE  290.935991  -0.245459  207.777320 -57.346985   \n",
       "230           VARIABLE  291.090206   0.567709  207.437250 -56.540374   \n",
       "231           VARIABLE  289.489255  -0.869949  205.728411 -58.486675   \n",
       "232           VARIABLE  290.294924  -0.766334  207.066396 -58.080509   \n",
       "233           VARIABLE  288.810460  -0.956585  204.576959 -58.817338   \n",
       "234           VARIABLE  289.057026   0.042808  204.332294 -57.796037   \n",
       "235           VARIABLE  288.198075   0.014390  202.832291 -58.120593   \n",
       "236           VARIABLE  290.085239   1.472654  205.137785 -56.090600   \n",
       "237           VARIABLE  287.778974   0.693181  201.669051 -57.616949   \n",
       "238           VARIABLE  286.547602   1.212852  199.188450 -57.494123   \n",
       "239           VARIABLE  285.998352   2.365772  197.638616 -56.535570   \n",
       "240           VARIABLE  285.687625  -0.334166  198.438803 -59.219861   \n",
       "241           VARIABLE  284.781081   0.156528  196.485679 -58.981748   \n",
       "242           VARIABLE  284.805872   1.992184  195.697041 -57.193850   \n",
       "243           VARIABLE  282.568864   1.474928  191.803555 -58.160991   \n",
       "244           VARIABLE  264.536932  11.124135  162.674351 -47.502935   \n",
       "245           VARIABLE  261.313309 -12.857806  137.346345 -68.040231   \n",
       "246           VARIABLE  263.228652  -7.694956  148.209053 -64.669494   \n",
       "247           VARIABLE  262.440821  -6.959550  147.409924 -63.654536   \n",
       "248           VARIABLE  265.544873  -3.777619  156.450273 -62.017236   \n",
       "249           VARIABLE  262.881968  -1.910763  152.831346 -59.293302   \n",
       "250           VARIABLE  254.625671  -4.968705  136.204033 -57.766389   \n",
       "251           VARIABLE  254.324196  -1.607630  139.307380 -54.862905   \n",
       "252           VARIABLE  252.427457  -0.187161  138.056622 -52.611806   \n",
       "253           VARIABLE  239.863529  -4.444385  119.186148 -47.199420   \n",
       "254           VARIABLE  241.506489  -1.365387  124.124157 -46.340640   \n",
       "255           VARIABLE  241.933370  -0.030335  125.923229 -45.704932   \n",
       "256           VARIABLE  240.607501   3.121520  127.649915 -42.518238   \n",
       "257           VARIABLE  322.129472  -8.223855  252.836683 -42.096717   \n",
       "258           VARIABLE  318.422313  -7.641820  249.339516 -44.813426   \n",
       "259           VARIABLE  316.976800  -7.757933  248.295339 -46.049804   \n",
       "260           VARIABLE  323.231842  -8.042601  253.428137 -41.082771   \n",
       "261           VARIABLE  327.753546  -5.403481  253.732765 -35.879893   \n",
       "262           VARIABLE  313.973787  -7.214963  245.050472 -48.118836   \n",
       "263           VARIABLE  302.104191  -6.550849  231.277211 -56.440748   \n",
       "264           VARIABLE  299.636149  -7.527787  229.111573 -58.809512   \n",
       "265           VARIABLE  307.686717   0.918450  229.847223 -47.163708   \n",
       "266           VARIABLE  306.116832   0.319020  228.669867 -48.647221   \n",
       "267           VARIABLE  310.839506   4.377954  229.926878 -42.486016   \n",
       "268           VARIABLE  309.462347   4.637571  228.283564 -43.193405   \n",
       "269           VARIABLE  315.825276  -4.013215  243.068676 -44.686585   \n",
       "270           VARIABLE  316.250015  -1.607044  240.891367 -42.816566   \n",
       "271           VARIABLE  314.998651  -1.642645  239.799519 -43.783296   \n",
       "272           VARIABLE  316.444557   3.307570  236.235995 -39.367438   \n",
       "273           VARIABLE  349.029639  -4.865984  265.564772 -17.460347   \n",
       "274           VARIABLE  350.412617   5.666715  256.970483 -10.864588   \n",
       "275           VARIABLE  300.911857  -0.705740  223.254194 -52.695988   \n",
       "276           VARIABLE  299.441256   0.386031  220.234108 -52.653745   \n",
       "277           VARIABLE  304.360688   1.961709  225.044230 -48.486718   \n",
       "278           VARIABLE  298.450579   0.439966  218.815075 -53.155563   \n",
       "279           VARIABLE  300.416253   3.351227  218.914994 -49.644100   \n",
       "280           VARIABLE  301.672127   3.053090  220.771593 -49.193974   \n",
       "281           VARIABLE  302.280538   3.740614  220.936875 -48.283113   \n",
       "282           VARIABLE  303.316341   4.438932  221.599419 -47.118520   \n",
       "\n",
       "     priam_flags   teff_val  teff_percentile_lower  teff_percentile_upper  \\\n",
       "0       100001.0  4577.5000              4556.6665              4659.6050   \n",
       "1       100001.0  4066.0000              3922.5000              4332.8804   \n",
       "2       100001.0  4965.1970              4861.7500              5153.2400   \n",
       "3       100001.0  4275.1533              4165.4136              4477.3633   \n",
       "4       100001.0  4633.8700              3763.6667              4906.0000   \n",
       "5       100001.0  4678.7020              4576.9050              4812.5024   \n",
       "6       100001.0  5289.3950              5138.6665              5461.0000   \n",
       "7       100001.0  4117.7803              3847.5898              4250.1500   \n",
       "8       100001.0  4100.0450              3990.7600              4229.0400   \n",
       "9       100001.0  4328.0000              4244.7500              4728.2700   \n",
       "10      100001.0  4057.7334              3965.5076              4296.6553   \n",
       "11      100001.0  4241.5625              4201.6035              4284.8700   \n",
       "12      100001.0  4167.7500              3987.0000              4299.2500   \n",
       "13      100001.0  4012.0000              3869.5000              4155.5800   \n",
       "14      100001.0  4648.4750              4380.0000              5465.6800   \n",
       "15      100001.0  4076.0000              3940.0000              4287.0000   \n",
       "16      100001.0  3900.0000              3883.7500              4249.5270   \n",
       "17      100001.0  3998.7524              3770.0000              4162.9650   \n",
       "18      100001.0  3873.0000              3799.0000              4159.1750   \n",
       "19      100001.0  4320.5000              4071.9568              4913.9067   \n",
       "20      100001.0  4660.2000              4557.8335              4755.5303   \n",
       "21      100001.0  4054.1600              3962.6926              4187.5350   \n",
       "22      100001.0  4908.6500              4653.2563              5080.7800   \n",
       "23      100001.0  3934.8500              3829.8098              4106.0000   \n",
       "24      100001.0  4422.6000              3784.0000              5643.0000   \n",
       "25      101001.0  4642.0000              3796.0000              5979.2500   \n",
       "26      100001.0  3950.0000              3872.5000              4100.2197   \n",
       "27      100001.0  4264.0000              4080.4700              4408.0000   \n",
       "28      100001.0  4325.0000              4184.0000              4487.5130   \n",
       "29      100001.0  4945.0000              4834.5800              5075.5900   \n",
       "30      100001.0  4355.5000              4217.7163              4662.0435   \n",
       "31      100001.0  4388.5000              4251.7563              4492.6665   \n",
       "32      100001.0  4738.8400              4650.0000              4832.6000   \n",
       "33      100001.0  4297.1850              4224.6665              4430.7065   \n",
       "34      100001.0  4318.6665              4139.6377              4850.6900   \n",
       "35      100001.0  4764.3374              4509.9775              5702.0250   \n",
       "36      100001.0  3914.0098              3700.5000              4445.3604   \n",
       "37      100001.0  4578.6553              4298.6400              4931.0800   \n",
       "38      100001.0  4426.0000              4378.2500              4631.0000   \n",
       "39      100001.0  3929.0000              3861.2500              4102.7500   \n",
       "40      100001.0  3923.6667              3810.0000              4381.8374   \n",
       "41      100001.0  4714.4500              4605.0000              5181.7500   \n",
       "42      100001.0  5767.5000              5628.0000              5860.0000   \n",
       "43      100001.0  4751.7466              4695.1553              4899.5000   \n",
       "44      100001.0  4781.1150              4664.6750              4820.4000   \n",
       "45      100001.0  4952.2500              4755.6470              5089.0000   \n",
       "46      100001.0  4849.0000              4692.3335              5027.7650   \n",
       "47      100001.0  4623.9100              4418.3066              4764.7466   \n",
       "48      100001.0  4397.6353              4249.5034              4644.9500   \n",
       "49      100001.0  4432.8700              4338.7400              4614.0000   \n",
       "50      100001.0  4217.0000              3953.1100              4517.1997   \n",
       "51      100001.0  3730.3333              3687.5000              4024.5752   \n",
       "52      100001.0  4070.4500              3900.0000              4446.6650   \n",
       "53      100001.0  3733.0000              3699.5000              4024.1426   \n",
       "54      100001.0  3951.0000              3900.0000              4326.6826   \n",
       "55      100001.0  4145.5176              3691.0000              5051.7800   \n",
       "56      100001.0  3940.7500              3884.0000              4150.5303   \n",
       "57      100001.0  4349.6665              4209.9850              4494.0000   \n",
       "58      100001.0  4107.3000              3998.4600              4188.7200   \n",
       "59      100001.0  3925.0000              3854.2950              3998.0000   \n",
       "60      100001.0  4002.9001              3922.0703              4119.3200   \n",
       "61      100001.0  3733.7124              3644.0000              4214.6733   \n",
       "62      100001.0  3878.0000              3598.3333              4392.6100   \n",
       "63      100001.0  4315.3276              4246.9500              4555.0000   \n",
       "64      100001.0  4107.1050              3847.5898              4234.0000   \n",
       "65      100001.0  4197.3765              4125.8100              4288.3833   \n",
       "66      100001.0  4116.0000              4018.6533              4218.3667   \n",
       "67      102001.0  4060.0000              3928.0000              4333.6665   \n",
       "68      100001.0  3745.1000              3610.7500              3889.5050   \n",
       "69      100001.0  3815.9800              3649.3333              4162.3900   \n",
       "70      100001.0  4895.3965              4870.1900              4919.0000   \n",
       "71      100001.0  4231.0000              4171.9497              4275.7050   \n",
       "72      100001.0  4285.4937              4176.5850              4470.5800   \n",
       "73      100001.0  4373.4136              4263.3500              4529.0000   \n",
       "74      100001.0  4402.1200              4283.2100              4486.6665   \n",
       "75      100001.0  4091.4200              3965.3900              4207.4370   \n",
       "76      100001.0  4393.0700              4289.6665              4606.8896   \n",
       "77      100001.0  3719.7500              3640.2500              3914.3076   \n",
       "78      100001.0  4182.0000              3998.6250              4646.8650   \n",
       "79      100001.0  4113.2020              3962.8223              4265.5000   \n",
       "80      100001.0  4072.4900              4012.9133              4167.7450   \n",
       "81      100001.0  4275.9500              4198.6797              4780.0337   \n",
       "82      100001.0  4181.5000              4005.1875              4345.3623   \n",
       "83      100001.0  4414.0900              4320.0000              4618.0650   \n",
       "84      100001.0  4044.0100              3990.4724              4295.7600   \n",
       "85      100001.0  3792.4200              3518.0000              3978.4950   \n",
       "86      100001.0  5787.3335              5491.4500              6308.5703   \n",
       "87      100001.0  4617.6665              4523.5000              4737.0000   \n",
       "88      102001.0  5076.0000              4450.4800              5720.5996   \n",
       "89      100001.0  3975.0000              3879.3333              4152.5200   \n",
       "90      100001.0  6090.0000              5963.6665              6221.7500   \n",
       "91      101001.0  4707.2500              3887.5000              6340.0000   \n",
       "92      102001.0  5143.4500              4297.5000              7050.0000   \n",
       "93      100001.0  4384.7750              4240.5376              4752.2500   \n",
       "94      100001.0  3986.5100              3814.6099              4431.1167   \n",
       "95      100001.0  4937.2500              4824.8500              5123.0000   \n",
       "96      100001.0  5063.0000              4995.0000              5127.0000   \n",
       "97      100001.0  6198.0000              6103.0000              6252.7500   \n",
       "98      100001.0  4059.2300              3761.7600              4374.4550   \n",
       "99      100001.0  4504.0000              4361.6553              4695.4800   \n",
       "100     100001.0  5142.4230              4998.8600              5259.6000   \n",
       "101     100001.0  4086.1875              3934.5650              4151.6104   \n",
       "102     100001.0  3939.0076              3900.0000              4226.5900   \n",
       "103     100001.0  4027.4070              3960.0000              4374.7700   \n",
       "104     110001.0  4300.3335              4155.6600              4427.6400   \n",
       "105     100001.0  4927.5000              4759.1274              5000.0000   \n",
       "106     100001.0  4845.5750              4733.2026              5025.2700   \n",
       "107     100001.0  4281.4520              4137.6070              4483.8750   \n",
       "108     100001.0  4775.8237              4698.6553              4939.5000   \n",
       "109     102011.0  5095.6333              4284.4497              6938.0000   \n",
       "110     100001.0  4208.8250              4090.6077              4347.3600   \n",
       "111     100001.0  4196.7700              4026.8066              4428.3774   \n",
       "112     100001.0  4103.7830              3970.4400              4251.0000   \n",
       "113     100001.0  4388.3237              4269.0600              4545.7603   \n",
       "114     100001.0  4095.2434              4047.2136              4399.5200   \n",
       "115     100001.0  4297.7780              4151.0750              4778.2550   \n",
       "116     100001.0  4116.2197              3917.6800              4556.5000   \n",
       "117     100001.0  4574.9350              4386.3335              4840.5000   \n",
       "118     100001.0  3917.4900              3662.0000              4520.9730   \n",
       "119     100001.0  4001.7500              3900.0000              4411.2400   \n",
       "120     100001.0  3845.0000              3728.0000              4096.3335   \n",
       "121     100001.0  3919.8450              3746.0000              4412.2800   \n",
       "122     100001.0  4062.8276              3900.8850              4143.6900   \n",
       "123     100001.0  4105.8096              3970.8223              4242.0100   \n",
       "124     100001.0  3929.0750              3670.0000              4232.9730   \n",
       "125     102001.0  5143.4500              4284.4497              7020.6665   \n",
       "126     100001.0  3986.0598              3867.0000              4159.5000   \n",
       "127     100001.0  4258.0000              4131.4670              4486.6750   \n",
       "128     100001.0  4035.1934              3860.0000              4175.5703   \n",
       "129     100001.0  3791.0325              3570.5000              4410.9453   \n",
       "130     100001.0  5420.0000              5327.7000              5905.5000   \n",
       "131     100001.0  4344.3335              4222.3335              4482.0000   \n",
       "132     100001.0  3819.0000              3754.0000              3906.0000   \n",
       "133     100001.0  3577.3333              3488.0000              4008.6501   \n",
       "134     100001.0  4997.3335              4925.9500              5109.5800   \n",
       "135     100001.0  3938.5598              3816.0000              4288.6400   \n",
       "136     100001.0  4136.5850              3645.7500              4843.3170   \n",
       "137     100001.0  4119.4670              3993.1850              4325.0000   \n",
       "138     100001.0  4116.1104              3684.0000              4778.9550   \n",
       "139     100001.0  4675.0625              4585.8833              4756.5000   \n",
       "140     100001.0  3849.8699              3576.5000              4451.6100   \n",
       "141     100001.0  4040.4453              3797.0000              5004.3335   \n",
       "142     100001.0  3933.7500              3846.4568              4183.5566   \n",
       "143     100001.0  4278.0000              4147.4850              4391.1826   \n",
       "144     100001.0  4897.0000              4879.0000              4923.0000   \n",
       "145     100001.0  4169.7100              3560.0000              4776.1100   \n",
       "146     100001.0  3952.0000              3785.2500              4689.0000   \n",
       "147     100001.0  3908.6400              3804.0000              4279.5200   \n",
       "148     100001.0  3859.8875              3658.0000              4017.0000   \n",
       "149     100001.0  4229.6900              4031.1900              4462.4946   \n",
       "150     100001.0  3895.4775              3754.5850              4052.7026   \n",
       "151     100001.0  4158.4550              3915.3333              4642.4650   \n",
       "152     100001.0  4952.3100              4876.0000              5006.1300   \n",
       "153     100001.0  4837.5800              4776.5100              4916.6133   \n",
       "154     100001.0  4807.9663              4576.9497              5033.0000   \n",
       "155     100001.0  4915.0200              4838.0000              5059.6570   \n",
       "156     100001.0  4232.0000              4169.7676              4306.0000   \n",
       "157     110001.0  4355.0000              4171.4053              4726.2800   \n",
       "158     100001.0  4241.0000              4023.6800              4494.8600   \n",
       "159     100001.0  4445.6665              4276.1567              4637.0000   \n",
       "160     100001.0  4339.0900              4203.1800              4505.2827   \n",
       "161     100001.0  4442.2600              4391.1100              4714.4434   \n",
       "162     100001.0  5573.0000              5310.3650              5806.5000   \n",
       "163     100001.0  4098.7800              3993.6700              4242.5000   \n",
       "164     100001.0  6009.6665              5570.0000              6322.5605   \n",
       "165     100001.0  4754.2400              4326.0000              5000.0000   \n",
       "166     100001.0  4845.5947              4249.0000              6020.0000   \n",
       "167     100001.0  3837.0000              3783.0000              3945.2168   \n",
       "168     100001.0  5350.0000              5210.5000              5629.0000   \n",
       "169     100001.0  4897.2500              4875.0000              4921.8066   \n",
       "170     102001.0  3730.7200              3571.0000              4302.9100   \n",
       "171     100001.0  4408.0000              4352.7620              4500.3850   \n",
       "172     100001.0  5760.6665              5328.3335              6618.0000   \n",
       "173     100001.0  5159.0234              4672.5000              6129.0000   \n",
       "174     100001.0  4730.0000              4654.0000              4815.1860   \n",
       "175     100001.0  4720.0000              4630.0000              4822.0000   \n",
       "176     100001.0  4419.2500              4360.0000              4537.5950   \n",
       "177     100001.0  4287.5650              4198.9530              4398.0000   \n",
       "178     100001.0  4897.6665              4274.7500              6055.0000   \n",
       "179     100001.0  4073.5250              3723.0000              4968.4450   \n",
       "180     101001.0  3859.0000              3486.0000              4000.0000   \n",
       "181     100001.0  5010.5024              4921.8350              5055.0050   \n",
       "182     100001.0  4384.0000              4342.0500              4453.9100   \n",
       "183     100001.0  4035.0952              3927.2375              4157.9624   \n",
       "184     100001.0  4473.7230              3800.1700              5569.0000   \n",
       "185     100001.0  4140.1200              4018.9000              4370.2000   \n",
       "186     100001.0  3955.6667              3911.7068              4045.9900   \n",
       "187     100001.0  3933.3333              3910.0000              3988.2500   \n",
       "188     100001.0  4798.0000              4163.0000              6194.0000   \n",
       "189     100001.0  5020.4500              4903.4775              5149.0000   \n",
       "190     100001.0  3940.2500              3877.0000              4100.0000   \n",
       "191     100001.0  4000.4402              3941.7100              4161.3525   \n",
       "192     100001.0  4030.0000              3974.0000              4220.1553   \n",
       "193     100001.0  3646.5000              3541.0000              4104.6304   \n",
       "194     100001.0  4472.6665              4421.1900              4760.0000   \n",
       "195     100001.0  4900.0000              4811.0000              4941.6665   \n",
       "196     100001.0  4917.0000              4849.3250              5100.0000   \n",
       "197     100001.0  5149.0000              4456.3335              5942.0000   \n",
       "198     100001.0  4446.1970              4354.2964              4503.0000   \n",
       "199     100001.0  5644.7500              5300.0000              6036.0000   \n",
       "200          NaN        NaN                    NaN                    NaN   \n",
       "201     100001.0  4786.7700              4728.4700              4873.2666   \n",
       "202     100001.0  5236.3335              4964.0000              5671.0000   \n",
       "203     101001.0  4135.0000              3498.0000              4335.0000   \n",
       "204     100001.0  5332.3300              5008.5900              5815.0000   \n",
       "205     100001.0  5009.2500              4510.5000              5594.2500   \n",
       "206     100001.0  4570.4800              4459.2500              5020.0625   \n",
       "207     100001.0  4374.0000              4333.0000              4443.5000   \n",
       "208     100001.0  5199.7100              4412.0000              6297.0000   \n",
       "209     100001.0  4244.0474              4109.3100              4356.9270   \n",
       "210     100001.0  4861.3335              4813.3400              4891.0000   \n",
       "211     100001.0  4269.8325              4029.8250              5208.6665   \n",
       "212     100001.0  4072.0000              3900.6667              4246.0000   \n",
       "213     100001.0  4165.0000              4011.0134              4423.3335   \n",
       "214     100001.0  4960.2500              4850.2246              5097.3250   \n",
       "215     100001.0  3887.6667              3692.0000              4204.1650   \n",
       "216     100001.0  4077.8200              3984.4200              4184.4053   \n",
       "217     102001.0  4061.8625              3906.0000              4445.3604   \n",
       "218     101001.0  3830.0000              3489.0000              3915.0000   \n",
       "219     100001.0  4512.2500              4260.0000              4873.4004   \n",
       "220     100001.0  5232.7334              4749.1000              6280.0000   \n",
       "221     100001.0  5076.9330              4469.1797              6175.0000   \n",
       "222     100001.0  4923.0000              4844.5674              5101.0000   \n",
       "223     100001.0  5653.7500              5232.2246              6014.0630   \n",
       "224     100001.0  5746.2500              5420.5000              6425.0000   \n",
       "225     100001.0  5113.6500              4604.0000              5933.0000   \n",
       "226     100001.0  4402.7550              4344.6665              4511.0000   \n",
       "227     100001.0  4075.5000              3891.7798              4410.4200   \n",
       "228     100001.0  5167.3335              4764.7500              5794.0000   \n",
       "229     100001.0  4869.0747              4753.6733              5010.2100   \n",
       "230     100001.0  4508.8066              4389.0200              4626.9500   \n",
       "231     100001.0  5175.1150              4805.6100              5732.9023   \n",
       "232     100001.0  4886.4300              4185.0000              6170.0000   \n",
       "233     100001.0  4449.3027              4354.0000              4931.5234   \n",
       "234     102001.0  5143.4500              4323.0430              7019.0000   \n",
       "235     100001.0  4791.0500              4710.6333              4908.6470   \n",
       "236     100001.0  5500.6700              5093.7650              5937.0000   \n",
       "237     100001.0  3729.0000              3677.6667              4238.7000   \n",
       "238     100001.0  4483.5000              4253.1333              4895.0000   \n",
       "239     100001.0  5003.4550              4292.4697              6064.0000   \n",
       "240     100001.0  5636.2500              5440.6997              5755.2300   \n",
       "241     100001.0  5731.3335              5306.1500              6442.0000   \n",
       "242     100001.0  4332.0000              4206.2400              4557.3804   \n",
       "243          NaN        NaN                    NaN                    NaN   \n",
       "244     100001.0  5286.5000              5083.8950              5466.6570   \n",
       "245     100001.0  5790.3335              5560.0000              6035.0000   \n",
       "246     100001.0  5649.0000              5240.0000              6245.0000   \n",
       "247     100001.0  6059.6665              5951.3335              6158.0000   \n",
       "248     100001.0  4841.1450              4782.0000              4878.8600   \n",
       "249     102011.0  5095.6333              4284.4497              6938.0000   \n",
       "250     100001.0  4222.0000              3939.0000              4529.3500   \n",
       "251     100001.0  4998.5000              4945.0000              5115.7600   \n",
       "252     100001.0  3955.0000              3879.3333              4087.5000   \n",
       "253     100001.0  4674.1650              4454.0000              4866.0000   \n",
       "254     100001.0  5024.3335              4806.0464              5115.0000   \n",
       "255     100001.0  4313.7900              4245.0000              4389.7773   \n",
       "256     100001.0  5101.4927              5019.3500              5347.5130   \n",
       "257     100001.0  5356.5000              5062.5000              5976.0000   \n",
       "258     100001.0  5549.3335              5300.0000              5943.0000   \n",
       "259     100001.0  5220.0000              5113.3335              5412.0000   \n",
       "260     100001.0  5668.7500              5544.0000              5884.0000   \n",
       "261     100001.0  5065.7500              4575.2500              5856.0000   \n",
       "262     100001.0  5285.0000              4791.5000              6169.0000   \n",
       "263     100001.0  5076.4966              4981.0000              5097.0300   \n",
       "264     100001.0  5404.2500              5205.0000              5752.0000   \n",
       "265     100001.0  5169.2354              5080.0000              5295.9350   \n",
       "266     100001.0  4656.6772              4566.0400              4749.6050   \n",
       "267     100001.0  5066.0000              4960.7400              5135.9800   \n",
       "268     100001.0  5189.0000              4540.0000              5953.0000   \n",
       "269     100001.0  5192.0000              4865.5000              5684.0000   \n",
       "270     100001.0  5761.9500              5200.0000              6499.0000   \n",
       "271     100001.0  5100.3335              4704.0000              5865.0000   \n",
       "272     100001.0  5210.0000              4729.5400              6022.0000   \n",
       "273     100001.0  5518.6665              5083.4670              6322.0000   \n",
       "274     100001.0  4919.7500              4676.5864              5011.6665   \n",
       "275     100001.0  4555.3700              3995.8625              5880.0000   \n",
       "276     100001.0  5134.0000              4727.5000              5940.0000   \n",
       "277     100001.0  4892.7500              4208.4697              6194.0000   \n",
       "278     100001.0  3811.5000              3796.0000              3885.0000   \n",
       "279     100001.0  6044.0000              5838.5000              6309.0000   \n",
       "280     100001.0  4977.9800              4940.0000              5016.6665   \n",
       "281     100001.0  5325.3335              5070.5000              5948.0000   \n",
       "282          NaN        NaN                    NaN                    NaN   \n",
       "\n",
       "     a_g_val  a_g_percentile_lower  a_g_percentile_upper  e_bp_min_rp_val  \\\n",
       "0        NaN                   NaN                   NaN              NaN   \n",
       "1     0.8230                0.4722                1.8474           0.4045   \n",
       "2        NaN                   NaN                   NaN              NaN   \n",
       "3        NaN                   NaN                   NaN              NaN   \n",
       "4        NaN                   NaN                   NaN              NaN   \n",
       "5        NaN                   NaN                   NaN              NaN   \n",
       "6        NaN                   NaN                   NaN              NaN   \n",
       "7        NaN                   NaN                   NaN              NaN   \n",
       "8        NaN                   NaN                   NaN              NaN   \n",
       "9        NaN                   NaN                   NaN              NaN   \n",
       "10    0.7520                0.3420                1.5369           0.3670   \n",
       "11       NaN                   NaN                   NaN              NaN   \n",
       "12       NaN                   NaN                   NaN              NaN   \n",
       "13       NaN                   NaN                   NaN              NaN   \n",
       "14       NaN                   NaN                   NaN              NaN   \n",
       "15       NaN                   NaN                   NaN              NaN   \n",
       "16    0.8902                0.4774                1.7787           0.4340   \n",
       "17    1.0843                0.7599                1.6361           0.4893   \n",
       "18    1.1493                0.7573                2.2020           0.5847   \n",
       "19       NaN                   NaN                   NaN              NaN   \n",
       "20       NaN                   NaN                   NaN              NaN   \n",
       "21    0.4280                0.1182                1.5013           0.1927   \n",
       "22    0.9798                0.5860                2.2331           0.5250   \n",
       "23       NaN                   NaN                   NaN              NaN   \n",
       "24    1.4960                1.1319                2.0117           0.7177   \n",
       "25       NaN                   NaN                   NaN              NaN   \n",
       "26    0.4948                0.1609                1.1833           0.2730   \n",
       "27    0.4770                0.1802                2.0421           0.2167   \n",
       "28    0.5090                0.2034                1.6253           0.2410   \n",
       "29       NaN                   NaN                   NaN              NaN   \n",
       "30    0.7055                0.3075                1.8731           0.3990   \n",
       "31       NaN                   NaN                   NaN              NaN   \n",
       "32       NaN                   NaN                   NaN              NaN   \n",
       "33       NaN                   NaN                   NaN              NaN   \n",
       "34       NaN                   NaN                   NaN              NaN   \n",
       "35    0.8857                0.4810                1.3221           0.4585   \n",
       "36       NaN                   NaN                   NaN              NaN   \n",
       "37       NaN                   NaN                   NaN              NaN   \n",
       "38       NaN                   NaN                   NaN              NaN   \n",
       "39       NaN                   NaN                   NaN              NaN   \n",
       "40       NaN                   NaN                   NaN              NaN   \n",
       "41       NaN                   NaN                   NaN              NaN   \n",
       "42    1.7250                1.2533                1.9831           0.8927   \n",
       "43       NaN                   NaN                   NaN              NaN   \n",
       "44       NaN                   NaN                   NaN              NaN   \n",
       "45    0.2525                0.0280                1.8086           0.1317   \n",
       "46       NaN                   NaN                   NaN              NaN   \n",
       "47       NaN                   NaN                   NaN              NaN   \n",
       "48       NaN                   NaN                   NaN              NaN   \n",
       "49       NaN                   NaN                   NaN              NaN   \n",
       "50    0.8635                0.4269                2.0788           0.3850   \n",
       "51       NaN                   NaN                   NaN              NaN   \n",
       "52       NaN                   NaN                   NaN              NaN   \n",
       "53    1.1290                0.8849                2.0198           0.5530   \n",
       "54    0.6703                0.2759                1.4300           0.2980   \n",
       "55    0.3720                0.0960                1.0361           0.1390   \n",
       "56       NaN                   NaN                   NaN              NaN   \n",
       "57       NaN                   NaN                   NaN              NaN   \n",
       "58       NaN                   NaN                   NaN              NaN   \n",
       "59       NaN                   NaN                   NaN              NaN   \n",
       "60    0.7195                0.4233                1.5131           0.3625   \n",
       "61       NaN                   NaN                   NaN              NaN   \n",
       "62       NaN                   NaN                   NaN              NaN   \n",
       "63       NaN                   NaN                   NaN              NaN   \n",
       "64       NaN                   NaN                   NaN              NaN   \n",
       "65       NaN                   NaN                   NaN              NaN   \n",
       "66       NaN                   NaN                   NaN              NaN   \n",
       "67       NaN                   NaN                   NaN              NaN   \n",
       "68       NaN                   NaN                   NaN              NaN   \n",
       "69       NaN                   NaN                   NaN              NaN   \n",
       "70       NaN                   NaN                   NaN              NaN   \n",
       "71    0.4085                0.1829                1.4417           0.2113   \n",
       "72       NaN                   NaN                   NaN              NaN   \n",
       "73    0.1435                0.0390                1.4111           0.0570   \n",
       "74       NaN                   NaN                   NaN              NaN   \n",
       "75    0.7230                0.3926                2.0890           0.3255   \n",
       "76       NaN                   NaN                   NaN              NaN   \n",
       "77    0.9890                0.6313                1.2631           0.4720   \n",
       "78    0.6438                0.3880                1.6826           0.3160   \n",
       "79       NaN                   NaN                   NaN              NaN   \n",
       "80    0.7525                0.3154                2.6051           0.3220   \n",
       "81       NaN                   NaN                   NaN              NaN   \n",
       "82       NaN                   NaN                   NaN              NaN   \n",
       "83       NaN                   NaN                   NaN              NaN   \n",
       "84       NaN                   NaN                   NaN              NaN   \n",
       "85    0.9250                0.5220                1.8531           0.4450   \n",
       "86       NaN                   NaN                   NaN              NaN   \n",
       "87       NaN                   NaN                   NaN              NaN   \n",
       "88       NaN                   NaN                   NaN              NaN   \n",
       "89    0.7280                0.3092                1.5840           0.3720   \n",
       "90       NaN                   NaN                   NaN              NaN   \n",
       "91       NaN                   NaN                   NaN              NaN   \n",
       "92       NaN                   NaN                   NaN              NaN   \n",
       "93       NaN                   NaN                   NaN              NaN   \n",
       "94    0.7990                0.4959                1.4046           0.3970   \n",
       "95       NaN                   NaN                   NaN              NaN   \n",
       "96       NaN                   NaN                   NaN              NaN   \n",
       "97       NaN                   NaN                   NaN              NaN   \n",
       "98    0.7780                0.3613                1.4185           0.3577   \n",
       "99       NaN                   NaN                   NaN              NaN   \n",
       "100      NaN                   NaN                   NaN              NaN   \n",
       "101      NaN                   NaN                   NaN              NaN   \n",
       "102   0.5177                0.2059                0.8947           0.2750   \n",
       "103      NaN                   NaN                   NaN              NaN   \n",
       "104      NaN                   NaN                   NaN              NaN   \n",
       "105      NaN                   NaN                   NaN              NaN   \n",
       "106      NaN                   NaN                   NaN              NaN   \n",
       "107   0.6190                0.1250                1.4731           0.2957   \n",
       "108      NaN                   NaN                   NaN              NaN   \n",
       "109      NaN                   NaN                   NaN              NaN   \n",
       "110      NaN                   NaN                   NaN              NaN   \n",
       "111   0.7835                0.3783                1.7638           0.4040   \n",
       "112   0.4482                0.0859                1.6635           0.1977   \n",
       "113      NaN                   NaN                   NaN              NaN   \n",
       "114   0.7447                0.2785                1.6491           0.2890   \n",
       "115   0.5123                0.2009                1.8412           0.2440   \n",
       "116      NaN                   NaN                   NaN              NaN   \n",
       "117      NaN                   NaN                   NaN              NaN   \n",
       "118   1.0650                0.6500                1.4041           0.5107   \n",
       "119   0.5977                0.2289                1.3000           0.3020   \n",
       "120   0.9495                0.6299                1.3596           0.4827   \n",
       "121   1.1840                0.8689                1.9130           0.5963   \n",
       "122      NaN                   NaN                   NaN              NaN   \n",
       "123   1.1320                0.7820                2.1466           0.5910   \n",
       "124      NaN                   NaN                   NaN              NaN   \n",
       "125      NaN                   NaN                   NaN              NaN   \n",
       "126   0.5307                0.1340                2.0093           0.2210   \n",
       "127      NaN                   NaN                   NaN              NaN   \n",
       "128   0.8978                0.5830                1.5241           0.4060   \n",
       "129      NaN                   NaN                   NaN              NaN   \n",
       "130      NaN                   NaN                   NaN              NaN   \n",
       "131   0.3880                0.2890                2.2438           0.1813   \n",
       "132      NaN                   NaN                   NaN              NaN   \n",
       "133   0.8295                0.3799                1.2511           0.3800   \n",
       "134      NaN                   NaN                   NaN              NaN   \n",
       "135      NaN                   NaN                   NaN              NaN   \n",
       "136   1.6785                1.3660                1.9030           0.8090   \n",
       "137      NaN                   NaN                   NaN              NaN   \n",
       "138      NaN                   NaN                   NaN              NaN   \n",
       "139      NaN                   NaN                   NaN              NaN   \n",
       "140      NaN                   NaN                   NaN              NaN   \n",
       "141   1.1120                0.8077                1.6470           0.5390   \n",
       "142   1.0160                0.5579                1.9777           0.4870   \n",
       "143      NaN                   NaN                   NaN              NaN   \n",
       "144      NaN                   NaN                   NaN              NaN   \n",
       "145      NaN                   NaN                   NaN              NaN   \n",
       "146      NaN                   NaN                   NaN              NaN   \n",
       "147   0.9495                0.6320                1.7171           0.4440   \n",
       "148   0.9792                0.6399                1.9931           0.4780   \n",
       "149   0.4753                0.1244                0.8290           0.2390   \n",
       "150   0.8920                0.4390                1.7505           0.4090   \n",
       "151      NaN                   NaN                   NaN              NaN   \n",
       "152      NaN                   NaN                   NaN              NaN   \n",
       "153      NaN                   NaN                   NaN              NaN   \n",
       "154      NaN                   NaN                   NaN              NaN   \n",
       "155      NaN                   NaN                   NaN              NaN   \n",
       "156      NaN                   NaN                   NaN              NaN   \n",
       "157      NaN                   NaN                   NaN              NaN   \n",
       "158   0.3940                0.1667                1.8260           0.1793   \n",
       "159      NaN                   NaN                   NaN              NaN   \n",
       "160   0.2927                0.0546                2.1634           0.1303   \n",
       "161      NaN                   NaN                   NaN              NaN   \n",
       "162      NaN                   NaN                   NaN              NaN   \n",
       "163      NaN                   NaN                   NaN              NaN   \n",
       "164      NaN                   NaN                   NaN              NaN   \n",
       "165      NaN                   NaN                   NaN              NaN   \n",
       "166      NaN                   NaN                   NaN              NaN   \n",
       "167   0.5740                0.1265                1.1216           0.2290   \n",
       "168      NaN                   NaN                   NaN              NaN   \n",
       "169      NaN                   NaN                   NaN              NaN   \n",
       "170      NaN                   NaN                   NaN              NaN   \n",
       "171      NaN                   NaN                   NaN              NaN   \n",
       "172      NaN                   NaN                   NaN              NaN   \n",
       "173      NaN                   NaN                   NaN              NaN   \n",
       "174      NaN                   NaN                   NaN              NaN   \n",
       "175      NaN                   NaN                   NaN              NaN   \n",
       "176      NaN                   NaN                   NaN              NaN   \n",
       "177      NaN                   NaN                   NaN              NaN   \n",
       "178   0.7880                0.3359                2.0180           0.3698   \n",
       "179   0.8080                0.5006                1.5830           0.4355   \n",
       "180      NaN                   NaN                   NaN              NaN   \n",
       "181   1.5913                1.0959                2.2031           0.7903   \n",
       "182      NaN                   NaN                   NaN              NaN   \n",
       "183   0.5417                0.2193                1.8481           0.2393   \n",
       "184   1.1035                0.6269                1.8655           0.5420   \n",
       "185   0.7150                0.2815                1.9237           0.3420   \n",
       "186      NaN                   NaN                   NaN              NaN   \n",
       "187   0.4703                0.2129                1.8244           0.2283   \n",
       "188   0.2155                0.0413                1.5924           0.1220   \n",
       "189      NaN                   NaN                   NaN              NaN   \n",
       "190   0.9277                0.8319                1.3460           0.4655   \n",
       "191   1.1642                0.7189                2.1490           0.5300   \n",
       "192   0.6787                0.2446                2.0082           0.3340   \n",
       "193      NaN                   NaN                   NaN              NaN   \n",
       "194      NaN                   NaN                   NaN              NaN   \n",
       "195      NaN                   NaN                   NaN              NaN   \n",
       "196      NaN                   NaN                   NaN              NaN   \n",
       "197      NaN                   NaN                   NaN              NaN   \n",
       "198      NaN                   NaN                   NaN              NaN   \n",
       "199      NaN                   NaN                   NaN              NaN   \n",
       "200      NaN                   NaN                   NaN              NaN   \n",
       "201      NaN                   NaN                   NaN              NaN   \n",
       "202      NaN                   NaN                   NaN              NaN   \n",
       "203      NaN                   NaN                   NaN              NaN   \n",
       "204      NaN                   NaN                   NaN              NaN   \n",
       "205      NaN                   NaN                   NaN              NaN   \n",
       "206      NaN                   NaN                   NaN              NaN   \n",
       "207      NaN                   NaN                   NaN              NaN   \n",
       "208      NaN                   NaN                   NaN              NaN   \n",
       "209   0.2030                0.0929                2.0526           0.0950   \n",
       "210      NaN                   NaN                   NaN              NaN   \n",
       "211      NaN                   NaN                   NaN              NaN   \n",
       "212      NaN                   NaN                   NaN              NaN   \n",
       "213   0.7045                0.3576                1.4970           0.3602   \n",
       "214      NaN                   NaN                   NaN              NaN   \n",
       "215      NaN                   NaN                   NaN              NaN   \n",
       "216      NaN                   NaN                   NaN              NaN   \n",
       "217      NaN                   NaN                   NaN              NaN   \n",
       "218      NaN                   NaN                   NaN              NaN   \n",
       "219      NaN                   NaN                   NaN              NaN   \n",
       "220      NaN                   NaN                   NaN              NaN   \n",
       "221      NaN                   NaN                   NaN              NaN   \n",
       "222      NaN                   NaN                   NaN              NaN   \n",
       "223      NaN                   NaN                   NaN              NaN   \n",
       "224      NaN                   NaN                   NaN              NaN   \n",
       "225      NaN                   NaN                   NaN              NaN   \n",
       "226      NaN                   NaN                   NaN              NaN   \n",
       "227   0.4780                0.0680                1.7908           0.1940   \n",
       "228      NaN                   NaN                   NaN              NaN   \n",
       "229      NaN                   NaN                   NaN              NaN   \n",
       "230      NaN                   NaN                   NaN              NaN   \n",
       "231      NaN                   NaN                   NaN              NaN   \n",
       "232      NaN                   NaN                   NaN              NaN   \n",
       "233      NaN                   NaN                   NaN              NaN   \n",
       "234      NaN                   NaN                   NaN              NaN   \n",
       "235      NaN                   NaN                   NaN              NaN   \n",
       "236      NaN                   NaN                   NaN              NaN   \n",
       "237      NaN                   NaN                   NaN              NaN   \n",
       "238      NaN                   NaN                   NaN              NaN   \n",
       "239      NaN                   NaN                   NaN              NaN   \n",
       "240      NaN                   NaN                   NaN              NaN   \n",
       "241      NaN                   NaN                   NaN              NaN   \n",
       "242   0.3160                0.1293                0.9581           0.1692   \n",
       "243      NaN                   NaN                   NaN              NaN   \n",
       "244      NaN                   NaN                   NaN              NaN   \n",
       "245      NaN                   NaN                   NaN              NaN   \n",
       "246      NaN                   NaN                   NaN              NaN   \n",
       "247      NaN                   NaN                   NaN              NaN   \n",
       "248      NaN                   NaN                   NaN              NaN   \n",
       "249      NaN                   NaN                   NaN              NaN   \n",
       "250      NaN                   NaN                   NaN              NaN   \n",
       "251      NaN                   NaN                   NaN              NaN   \n",
       "252      NaN                   NaN                   NaN              NaN   \n",
       "253      NaN                   NaN                   NaN              NaN   \n",
       "254      NaN                   NaN                   NaN              NaN   \n",
       "255      NaN                   NaN                   NaN              NaN   \n",
       "256      NaN                   NaN                   NaN              NaN   \n",
       "257      NaN                   NaN                   NaN              NaN   \n",
       "258      NaN                   NaN                   NaN              NaN   \n",
       "259      NaN                   NaN                   NaN              NaN   \n",
       "260      NaN                   NaN                   NaN              NaN   \n",
       "261      NaN                   NaN                   NaN              NaN   \n",
       "262   1.6430                1.3264                2.3170           0.8590   \n",
       "263      NaN                   NaN                   NaN              NaN   \n",
       "264      NaN                   NaN                   NaN              NaN   \n",
       "265      NaN                   NaN                   NaN              NaN   \n",
       "266      NaN                   NaN                   NaN              NaN   \n",
       "267   1.6380                1.3069                2.1641           0.8483   \n",
       "268      NaN                   NaN                   NaN              NaN   \n",
       "269      NaN                   NaN                   NaN              NaN   \n",
       "270      NaN                   NaN                   NaN              NaN   \n",
       "271      NaN                   NaN                   NaN              NaN   \n",
       "272      NaN                   NaN                   NaN              NaN   \n",
       "273      NaN                   NaN                   NaN              NaN   \n",
       "274      NaN                   NaN                   NaN              NaN   \n",
       "275   0.6425                0.2885                1.9610           0.3360   \n",
       "276      NaN                   NaN                   NaN              NaN   \n",
       "277   0.5605                0.1710                2.2551           0.3285   \n",
       "278   0.9160                0.5762                1.7843           0.4147   \n",
       "279   1.2997                0.8126                1.9580           0.6910   \n",
       "280      NaN                   NaN                   NaN              NaN   \n",
       "281      NaN                   NaN                   NaN              NaN   \n",
       "282      NaN                   NaN                   NaN              NaN   \n",
       "\n",
       "     e_bp_min_rp_percentile_lower  e_bp_min_rp_percentile_upper  flame_flags  \\\n",
       "0                             NaN                           NaN     200111.0   \n",
       "1                          0.2400                        0.9410          NaN   \n",
       "2                             NaN                           NaN          NaN   \n",
       "3                             NaN                           NaN     200111.0   \n",
       "4                             NaN                           NaN     200111.0   \n",
       "5                             NaN                           NaN          NaN   \n",
       "6                             NaN                           NaN          NaN   \n",
       "7                             NaN                           NaN     200111.0   \n",
       "8                             NaN                           NaN     200111.0   \n",
       "9                             NaN                           NaN     200111.0   \n",
       "10                         0.1663                        0.8371     200111.0   \n",
       "11                            NaN                           NaN          NaN   \n",
       "12                            NaN                           NaN          NaN   \n",
       "13                            NaN                           NaN     200111.0   \n",
       "14                            NaN                           NaN          NaN   \n",
       "15                            NaN                           NaN          NaN   \n",
       "16                         0.2057                        0.8561     200111.0   \n",
       "17                         0.3639                        0.8537          NaN   \n",
       "18                         0.3633                        1.0751          NaN   \n",
       "19                            NaN                           NaN          NaN   \n",
       "20                            NaN                           NaN          NaN   \n",
       "21                         0.0590                        0.8397     200111.0   \n",
       "22                         0.2860                        1.0315     200111.0   \n",
       "23                            NaN                           NaN     200111.0   \n",
       "24                         0.5875                        0.9721          NaN   \n",
       "25                            NaN                           NaN          NaN   \n",
       "26                         0.0829                        0.7403          NaN   \n",
       "27                         0.1130                        1.0787     200111.0   \n",
       "28                         0.0819                        0.7419          NaN   \n",
       "29                            NaN                           NaN          NaN   \n",
       "30                         0.1896                        1.0736          NaN   \n",
       "31                            NaN                           NaN          NaN   \n",
       "32                            NaN                           NaN     200111.0   \n",
       "33                            NaN                           NaN          NaN   \n",
       "34                            NaN                           NaN          NaN   \n",
       "35                         0.2360                        0.7168          NaN   \n",
       "36                            NaN                           NaN          NaN   \n",
       "37                            NaN                           NaN          NaN   \n",
       "38                            NaN                           NaN     200111.0   \n",
       "39                            NaN                           NaN     200111.0   \n",
       "40                            NaN                           NaN          NaN   \n",
       "41                            NaN                           NaN     200111.0   \n",
       "42                         0.6006                        1.0291     200111.0   \n",
       "43                            NaN                           NaN     200111.0   \n",
       "44                            NaN                           NaN     200111.0   \n",
       "45                         0.0160                        0.8185          NaN   \n",
       "46                            NaN                           NaN          NaN   \n",
       "47                            NaN                           NaN     200111.0   \n",
       "48                            NaN                           NaN     200111.0   \n",
       "49                            NaN                           NaN     200111.0   \n",
       "50                         0.2149                        1.0598     200111.0   \n",
       "51                            NaN                           NaN          NaN   \n",
       "52                            NaN                           NaN     200111.0   \n",
       "53                         0.4379                        1.0924          NaN   \n",
       "54                         0.1200                        0.6968     200111.0   \n",
       "55                         0.0460                        0.5091     200111.0   \n",
       "56                            NaN                           NaN          NaN   \n",
       "57                            NaN                           NaN     200111.0   \n",
       "58                            NaN                           NaN     200111.0   \n",
       "59                            NaN                           NaN     200111.0   \n",
       "60                         0.1627                        0.6004     200111.0   \n",
       "61                            NaN                           NaN     200111.0   \n",
       "62                            NaN                           NaN     200111.0   \n",
       "63                            NaN                           NaN     200111.0   \n",
       "64                            NaN                           NaN          NaN   \n",
       "65                            NaN                           NaN     200111.0   \n",
       "66                            NaN                           NaN          NaN   \n",
       "67                            NaN                           NaN     200111.0   \n",
       "68                            NaN                           NaN     200111.0   \n",
       "69                            NaN                           NaN     200111.0   \n",
       "70                            NaN                           NaN          NaN   \n",
       "71                         0.0950                        0.6803     200111.0   \n",
       "72                            NaN                           NaN          NaN   \n",
       "73                         0.0113                        0.4958     200111.0   \n",
       "74                            NaN                           NaN     200111.0   \n",
       "75                         0.1784                        1.0033          NaN   \n",
       "76                            NaN                           NaN     200111.0   \n",
       "77                         0.2859                        0.6826     200111.0   \n",
       "78                         0.1959                        0.9097     200111.0   \n",
       "79                            NaN                           NaN     200111.0   \n",
       "80                         0.1232                        1.3113     200111.0   \n",
       "81                            NaN                           NaN          NaN   \n",
       "82                            NaN                           NaN          NaN   \n",
       "83                            NaN                           NaN          NaN   \n",
       "84                            NaN                           NaN     200111.0   \n",
       "85                         0.1866                        1.0120     200111.0   \n",
       "86                            NaN                           NaN          NaN   \n",
       "87                            NaN                           NaN     200111.0   \n",
       "88                            NaN                           NaN     200111.0   \n",
       "89                         0.1723                        0.8440     200111.0   \n",
       "90                            NaN                           NaN     200111.0   \n",
       "91                            NaN                           NaN          NaN   \n",
       "92                            NaN                           NaN          NaN   \n",
       "93                            NaN                           NaN     200111.0   \n",
       "94                         0.2430                        0.7363     200111.0   \n",
       "95                            NaN                           NaN     200111.0   \n",
       "96                            NaN                           NaN     200111.0   \n",
       "97                            NaN                           NaN     200111.0   \n",
       "98                         0.1627                        0.6040     200111.0   \n",
       "99                            NaN                           NaN     200111.0   \n",
       "100                           NaN                           NaN     200111.0   \n",
       "101                           NaN                           NaN     200111.0   \n",
       "102                        0.1250                        0.4421     200111.0   \n",
       "103                           NaN                           NaN     200111.0   \n",
       "104                           NaN                           NaN          NaN   \n",
       "105                           NaN                           NaN     200111.0   \n",
       "106                           NaN                           NaN     200111.0   \n",
       "107                        0.0629                        0.7818          NaN   \n",
       "108                           NaN                           NaN     200111.0   \n",
       "109                           NaN                           NaN          NaN   \n",
       "110                           NaN                           NaN     200111.0   \n",
       "111                        0.1880                        0.8648     200111.0   \n",
       "112                        0.0340                        0.9064     200111.0   \n",
       "113                           NaN                           NaN     200111.0   \n",
       "114                        0.1116                        0.7920     200111.0   \n",
       "115                        0.0832                        0.9201     200111.0   \n",
       "116                           NaN                           NaN          NaN   \n",
       "117                           NaN                           NaN     200111.0   \n",
       "118                        0.3230                        0.6960     200111.0   \n",
       "119                        0.0939                        0.6360     200111.0   \n",
       "120                        0.3245                        0.9366     200111.0   \n",
       "121                        0.4139                        1.0435     200111.0   \n",
       "122                           NaN                           NaN     200111.0   \n",
       "123                        0.4060                        1.1216     200111.0   \n",
       "124                           NaN                           NaN     200111.0   \n",
       "125                           NaN                           NaN          NaN   \n",
       "126                        0.0649                        0.8464     200111.0   \n",
       "127                           NaN                           NaN     200111.0   \n",
       "128                        0.2113                        0.7132     200111.0   \n",
       "129                           NaN                           NaN     200111.0   \n",
       "130                           NaN                           NaN     200111.0   \n",
       "131                        0.1366                        1.0270          NaN   \n",
       "132                           NaN                           NaN     200111.0   \n",
       "133                        0.1879                        0.6192          NaN   \n",
       "134                           NaN                           NaN          NaN   \n",
       "135                           NaN                           NaN     200111.0   \n",
       "136                        0.6575                        0.8915     200111.0   \n",
       "137                           NaN                           NaN     200111.0   \n",
       "138                           NaN                           NaN          NaN   \n",
       "139                           NaN                           NaN     200111.0   \n",
       "140                           NaN                           NaN     200111.0   \n",
       "141                        0.4009                        0.9050     200111.0   \n",
       "142                        0.2590                        0.9671     200111.0   \n",
       "143                           NaN                           NaN          NaN   \n",
       "144                           NaN                           NaN     200111.0   \n",
       "145                           NaN                           NaN     200111.0   \n",
       "146                           NaN                           NaN          NaN   \n",
       "147                        0.3190                        0.7535     200111.0   \n",
       "148                        0.3120                        0.8651     200111.0   \n",
       "149                        0.0456                        0.3888     200111.0   \n",
       "150                        0.2083                        0.8012     200111.0   \n",
       "151                           NaN                           NaN     200111.0   \n",
       "152                           NaN                           NaN     200111.0   \n",
       "153                           NaN                           NaN          NaN   \n",
       "154                           NaN                           NaN     200111.0   \n",
       "155                           NaN                           NaN     200111.0   \n",
       "156                           NaN                           NaN     200111.0   \n",
       "157                           NaN                           NaN          NaN   \n",
       "158                        0.0954                        1.0204          NaN   \n",
       "159                           NaN                           NaN          NaN   \n",
       "160                        0.0225                        1.2405          NaN   \n",
       "161                           NaN                           NaN          NaN   \n",
       "162                           NaN                           NaN     200111.0   \n",
       "163                           NaN                           NaN          NaN   \n",
       "164                           NaN                           NaN     200111.0   \n",
       "165                           NaN                           NaN     200111.0   \n",
       "166                           NaN                           NaN          NaN   \n",
       "167                        0.0386                        0.4797     200111.0   \n",
       "168                           NaN                           NaN     200111.0   \n",
       "169                           NaN                           NaN     200111.0   \n",
       "170                           NaN                           NaN     200111.0   \n",
       "171                           NaN                           NaN          NaN   \n",
       "172                           NaN                           NaN     200111.0   \n",
       "173                           NaN                           NaN     200111.0   \n",
       "174                           NaN                           NaN     200111.0   \n",
       "175                           NaN                           NaN     200111.0   \n",
       "176                           NaN                           NaN     200111.0   \n",
       "177                           NaN                           NaN     200111.0   \n",
       "178                        0.1716                        1.0556     200111.0   \n",
       "179                        0.2419                        0.7840     200111.0   \n",
       "180                           NaN                           NaN     200111.0   \n",
       "181                        0.5339                        1.0571     200111.0   \n",
       "182                           NaN                           NaN     200111.0   \n",
       "183                        0.0789                        0.7506     200111.0   \n",
       "184                        0.3090                        0.8027     200111.0   \n",
       "185                        0.1505                        0.7146     200111.0   \n",
       "186                           NaN                           NaN     200111.0   \n",
       "187                        0.1126                        0.8411     200111.0   \n",
       "188                        0.0172                        0.6030          NaN   \n",
       "189                           NaN                           NaN     200111.0   \n",
       "190                        0.3943                        0.6201     200111.0   \n",
       "191                        0.3229                        1.1103     200111.0   \n",
       "192                        0.1126                        0.9338     200111.0   \n",
       "193                           NaN                           NaN     200111.0   \n",
       "194                           NaN                           NaN          NaN   \n",
       "195                           NaN                           NaN     200111.0   \n",
       "196                           NaN                           NaN     200111.0   \n",
       "197                           NaN                           NaN     200111.0   \n",
       "198                           NaN                           NaN     200111.0   \n",
       "199                           NaN                           NaN     200111.0   \n",
       "200                           NaN                           NaN          NaN   \n",
       "201                           NaN                           NaN     200111.0   \n",
       "202                           NaN                           NaN     200111.0   \n",
       "203                           NaN                           NaN     200111.0   \n",
       "204                           NaN                           NaN     200111.0   \n",
       "205                           NaN                           NaN     200111.0   \n",
       "206                           NaN                           NaN     200111.0   \n",
       "207                           NaN                           NaN     200111.0   \n",
       "208                           NaN                           NaN     200111.0   \n",
       "209                        0.0453                        0.8289     200111.0   \n",
       "210                           NaN                           NaN     200111.0   \n",
       "211                           NaN                           NaN     200111.0   \n",
       "212                           NaN                           NaN     200111.0   \n",
       "213                        0.1636                        0.7391     200111.0   \n",
       "214                           NaN                           NaN     200111.0   \n",
       "215                           NaN                           NaN          NaN   \n",
       "216                           NaN                           NaN     200111.0   \n",
       "217                           NaN                           NaN     200111.0   \n",
       "218                           NaN                           NaN     200111.0   \n",
       "219                           NaN                           NaN     200111.0   \n",
       "220                           NaN                           NaN     200111.0   \n",
       "221                           NaN                           NaN     200111.0   \n",
       "222                           NaN                           NaN     200111.0   \n",
       "223                           NaN                           NaN     200111.0   \n",
       "224                           NaN                           NaN     200111.0   \n",
       "225                           NaN                           NaN     200111.0   \n",
       "226                           NaN                           NaN     200111.0   \n",
       "227                        0.0279                        0.7150          NaN   \n",
       "228                           NaN                           NaN     200111.0   \n",
       "229                           NaN                           NaN     200111.0   \n",
       "230                           NaN                           NaN     200111.0   \n",
       "231                           NaN                           NaN     200111.0   \n",
       "232                           NaN                           NaN          NaN   \n",
       "233                           NaN                           NaN          NaN   \n",
       "234                           NaN                           NaN          NaN   \n",
       "235                           NaN                           NaN     200111.0   \n",
       "236                           NaN                           NaN     200111.0   \n",
       "237                           NaN                           NaN     200111.0   \n",
       "238                           NaN                           NaN     200111.0   \n",
       "239                           NaN                           NaN     200111.0   \n",
       "240                           NaN                           NaN     200111.0   \n",
       "241                           NaN                           NaN     200111.0   \n",
       "242                        0.0699                        0.5790     200111.0   \n",
       "243                           NaN                           NaN          NaN   \n",
       "244                           NaN                           NaN     200111.0   \n",
       "245                           NaN                           NaN     200111.0   \n",
       "246                           NaN                           NaN     200111.0   \n",
       "247                           NaN                           NaN     200111.0   \n",
       "248                           NaN                           NaN     200111.0   \n",
       "249                           NaN                           NaN          NaN   \n",
       "250                           NaN                           NaN          NaN   \n",
       "251                           NaN                           NaN     200111.0   \n",
       "252                           NaN                           NaN     200111.0   \n",
       "253                           NaN                           NaN     200111.0   \n",
       "254                           NaN                           NaN     200111.0   \n",
       "255                           NaN                           NaN          NaN   \n",
       "256                           NaN                           NaN     200111.0   \n",
       "257                           NaN                           NaN     200111.0   \n",
       "258                           NaN                           NaN     200111.0   \n",
       "259                           NaN                           NaN     200111.0   \n",
       "260                           NaN                           NaN     200111.0   \n",
       "261                           NaN                           NaN     200111.0   \n",
       "262                        0.6060                        1.1850     200111.0   \n",
       "263                           NaN                           NaN     200111.0   \n",
       "264                           NaN                           NaN     200111.0   \n",
       "265                           NaN                           NaN          NaN   \n",
       "266                           NaN                           NaN     200111.0   \n",
       "267                        0.6495                        1.1181     200111.0   \n",
       "268                           NaN                           NaN     200111.0   \n",
       "269                           NaN                           NaN     200111.0   \n",
       "270                           NaN                           NaN     200111.0   \n",
       "271                           NaN                           NaN     200111.0   \n",
       "272                           NaN                           NaN     200111.0   \n",
       "273                           NaN                           NaN     200111.0   \n",
       "274                           NaN                           NaN     200111.0   \n",
       "275                        0.1539                        0.8763          NaN   \n",
       "276                           NaN                           NaN     200111.0   \n",
       "277                        0.0960                        1.0556          NaN   \n",
       "278                        0.2574                        0.8411     200111.0   \n",
       "279                        0.4053                        0.9550     200111.0   \n",
       "280                           NaN                           NaN     200111.0   \n",
       "281                           NaN                           NaN     200111.0   \n",
       "282                           NaN                           NaN          NaN   \n",
       "\n",
       "     radius_val  radius_percentile_lower  radius_percentile_upper  \\\n",
       "0     77.219000                74.521690                77.926730   \n",
       "1           NaN                      NaN                      NaN   \n",
       "2           NaN                      NaN                      NaN   \n",
       "3     42.233078                38.504498                44.487690   \n",
       "4     32.391502                28.897728                49.101692   \n",
       "5           NaN                      NaN                      NaN   \n",
       "6           NaN                      NaN                      NaN   \n",
       "7     66.018456                61.970245                75.616080   \n",
       "8    123.034620               115.643430               129.865370   \n",
       "9     50.890106                42.638638                52.905840   \n",
       "10    75.384350                67.233730                78.931560   \n",
       "11          NaN                      NaN                      NaN   \n",
       "12          NaN                      NaN                      NaN   \n",
       "13   169.998350               158.454010               182.749770   \n",
       "14          NaN                      NaN                      NaN   \n",
       "15          NaN                      NaN                      NaN   \n",
       "16    58.381653                49.172745                58.871223   \n",
       "17          NaN                      NaN                      NaN   \n",
       "18          NaN                      NaN                      NaN   \n",
       "19          NaN                      NaN                      NaN   \n",
       "20          NaN                      NaN                      NaN   \n",
       "21    86.852850                81.408340                90.908615   \n",
       "22    50.395420                47.038610                56.079124   \n",
       "23   110.024220               101.043140               116.142265   \n",
       "24          NaN                      NaN                      NaN   \n",
       "25          NaN                      NaN                      NaN   \n",
       "26          NaN                      NaN                      NaN   \n",
       "27    39.974100                37.405020                43.650850   \n",
       "28          NaN                      NaN                      NaN   \n",
       "29          NaN                      NaN                      NaN   \n",
       "30          NaN                      NaN                      NaN   \n",
       "31          NaN                      NaN                      NaN   \n",
       "32    87.299130                83.944500                90.666756   \n",
       "33          NaN                      NaN                      NaN   \n",
       "34          NaN                      NaN                      NaN   \n",
       "35          NaN                      NaN                      NaN   \n",
       "36          NaN                      NaN                      NaN   \n",
       "37          NaN                      NaN                      NaN   \n",
       "38    76.188650                69.592674                77.859566   \n",
       "39    66.531060                61.015247                68.886270   \n",
       "40          NaN                      NaN                      NaN   \n",
       "41    41.199432                34.103615                43.181133   \n",
       "42    27.557621                26.694494                28.940681   \n",
       "43    67.569730                63.555805                69.208405   \n",
       "44    41.703396                41.026430                43.811394   \n",
       "45          NaN                      NaN                      NaN   \n",
       "46          NaN                      NaN                      NaN   \n",
       "47    44.377384                41.792744                48.603638   \n",
       "48    78.561990                70.418820                84.134575   \n",
       "49    60.489480                55.833477                63.142612   \n",
       "50    55.797500                48.627663                63.495674   \n",
       "51          NaN                      NaN                      NaN   \n",
       "52    35.414150                29.675142                38.577354   \n",
       "53          NaN                      NaN                      NaN   \n",
       "54    36.487900                30.426561                37.448440   \n",
       "55    34.093784                22.958520                43.007540   \n",
       "56          NaN                      NaN                      NaN   \n",
       "57    39.568150                37.067352                42.237347   \n",
       "58    45.106148                43.369644                47.595190   \n",
       "59    52.112076                50.226406                54.041550   \n",
       "60    93.551610                88.338450                97.447350   \n",
       "61    54.908280                43.091510                57.645157   \n",
       "62    55.791912                43.485210                64.801350   \n",
       "63    48.476704                43.509476                50.050255   \n",
       "64          NaN                      NaN                      NaN   \n",
       "65    93.237220                89.321910                96.499870   \n",
       "66          NaN                      NaN                      NaN   \n",
       "67    31.391851                27.552310                33.537140   \n",
       "68    39.692413                36.799824                42.701145   \n",
       "69    45.950030                38.620014                50.242466   \n",
       "70          NaN                      NaN                      NaN   \n",
       "71    48.329033                47.323700                49.706825   \n",
       "72          NaN                      NaN                      NaN   \n",
       "73    41.085827                38.311440                43.234570   \n",
       "74    88.008030                84.722450                92.962410   \n",
       "75          NaN                      NaN                      NaN   \n",
       "76    79.355675                72.160340                83.227554   \n",
       "77    47.773430                43.142372                49.882877   \n",
       "78    44.213043                35.809505                48.361206   \n",
       "79    76.916980                71.522450                82.865380   \n",
       "80    46.564410                44.460247                47.957287   \n",
       "81          NaN                      NaN                      NaN   \n",
       "82          NaN                      NaN                      NaN   \n",
       "83          NaN                      NaN                      NaN   \n",
       "84    38.234837                33.884705                39.267666   \n",
       "85    65.240310                59.280410                75.815360   \n",
       "86          NaN                      NaN                      NaN   \n",
       "87    64.707430                61.488304                67.429530   \n",
       "88   130.035680               102.381775               169.157800   \n",
       "89   103.218420                94.581894               108.372055   \n",
       "90    33.746235                32.332165                35.191128   \n",
       "91          NaN                      NaN                      NaN   \n",
       "92          NaN                      NaN                      NaN   \n",
       "93    55.535275                47.278637                59.377470   \n",
       "94    86.435100                69.959946                94.400780   \n",
       "95    50.431885                46.841060                52.808980   \n",
       "96    42.598850                41.541970                43.766594   \n",
       "97    46.326805                45.519070                47.780290   \n",
       "98    39.811750                34.280777                46.357113   \n",
       "99    51.798256                47.659767                55.234344   \n",
       "100   42.732760                40.849907                45.222504   \n",
       "101   39.330630                38.100820                42.420330   \n",
       "102   43.760280                38.007866                44.640034   \n",
       "103   94.728830                80.282845                97.981220   \n",
       "104         NaN                      NaN                      NaN   \n",
       "105   51.046600                49.576980                54.722435   \n",
       "106   62.476120                58.087933                65.477870   \n",
       "107         NaN                      NaN                      NaN   \n",
       "108   76.517540                71.530556                79.051560   \n",
       "109         NaN                      NaN                      NaN   \n",
       "110   54.183690                50.785435                57.360733   \n",
       "111   45.919670                41.242012                49.877830   \n",
       "112   41.760147                38.917830                44.612194   \n",
       "113   56.237183                52.409237                59.423244   \n",
       "114   47.333140                41.012306                48.463250   \n",
       "115   45.891144                37.126000                49.192127   \n",
       "116         NaN                      NaN                      NaN   \n",
       "117   91.181430                81.450880                99.191154   \n",
       "118   31.156416                23.393728                35.655506   \n",
       "119   46.661590                38.400600                49.128128   \n",
       "120   66.667450                58.737564                70.917720   \n",
       "121   56.793743                44.824165                62.187450   \n",
       "122   52.335090                50.312428                56.770596   \n",
       "123   67.643880                63.369865                72.321140   \n",
       "124   67.693490                58.322550                77.588150   \n",
       "125         NaN                      NaN                      NaN   \n",
       "126  265.976840               244.258220               282.607120   \n",
       "127   61.047016                54.982760                64.843610   \n",
       "128   81.094440                75.733520                88.622734   \n",
       "129   42.983578                31.750769                48.457333   \n",
       "130   36.792140                30.991335                38.077995   \n",
       "131         NaN                      NaN                      NaN   \n",
       "132   75.862180                72.520400                78.512020   \n",
       "133         NaN                      NaN                      NaN   \n",
       "134         NaN                      NaN                      NaN   \n",
       "135   54.509680                45.973686                58.067326   \n",
       "136   21.204123                15.467440                27.297976   \n",
       "137  103.732700                94.107765               110.397390   \n",
       "138         NaN                      NaN                      NaN   \n",
       "139   44.447186                42.938225                46.192673   \n",
       "140   46.360410                34.674095                53.718376   \n",
       "141   64.611534                42.118805                73.162290   \n",
       "142  106.918050                94.530785               111.826010   \n",
       "143         NaN                      NaN                      NaN   \n",
       "144   50.222294                49.693214                50.593544   \n",
       "145   51.231873                39.048405                70.283264   \n",
       "146         NaN                      NaN                      NaN   \n",
       "147   64.273780                53.616077                67.858480   \n",
       "148   38.396915                35.452100                42.752180   \n",
       "149   30.889269                27.750402                34.006207   \n",
       "150   95.083320                87.848890               102.353310   \n",
       "151   43.899540                35.223034                49.520670   \n",
       "152   35.309402                34.554276                36.423244   \n",
       "153         NaN                      NaN                      NaN   \n",
       "154   36.824657                33.605293                40.635840   \n",
       "155   53.359060                50.351980                55.071514   \n",
       "156   84.294270                81.421920                86.829180   \n",
       "157         NaN                      NaN                      NaN   \n",
       "158         NaN                      NaN                      NaN   \n",
       "159         NaN                      NaN                      NaN   \n",
       "160         NaN                      NaN                      NaN   \n",
       "161         NaN                      NaN                      NaN   \n",
       "162   45.497650                41.911980                50.109290   \n",
       "163         NaN                      NaN                      NaN   \n",
       "164   39.433937                35.627464                45.905052   \n",
       "165   62.799377                56.777670                75.848076   \n",
       "166         NaN                      NaN                      NaN   \n",
       "167   44.222920                41.830135                45.494442   \n",
       "168   33.621810                30.371494                35.446213   \n",
       "169   49.700510                49.205800                50.155220   \n",
       "170   48.122868                36.175310                52.523920   \n",
       "171         NaN                      NaN                      NaN   \n",
       "172   28.109089                21.297995                32.855602   \n",
       "173   36.365597                25.765968                44.332996   \n",
       "174   52.619335                50.774014                54.351917   \n",
       "175   50.089706                47.993020                52.055965   \n",
       "176   65.211880                61.854656                66.996315   \n",
       "177   63.761720                60.599770                66.481280   \n",
       "178   35.060158                22.938446                46.022568   \n",
       "179   87.123146                58.564354               104.300940   \n",
       "180  148.018250               137.766890               181.388630   \n",
       "181   49.984410                49.108196                51.801582   \n",
       "182   62.361347                60.419018                63.572163   \n",
       "183   47.674790                44.898853                50.329430   \n",
       "184   53.083630                34.256610                73.568650   \n",
       "185   39.874035                35.786022                42.315716   \n",
       "186  110.662800               105.777054               113.164050   \n",
       "187  147.279820               143.251770               149.042880   \n",
       "188         NaN                      NaN                      NaN   \n",
       "189   44.242380                42.060850                46.378365   \n",
       "190   20.783487                19.195448                21.467148   \n",
       "191   56.461517                52.179400                58.156567   \n",
       "192   68.360380                62.338696                70.300570   \n",
       "193   64.659550                51.031345                68.569860   \n",
       "194         NaN                      NaN                      NaN   \n",
       "195   65.833200                64.727715                68.291466   \n",
       "196   32.141150                29.875937                33.044506   \n",
       "197   63.460876                47.652596                84.722050   \n",
       "198   82.089760                80.031780                85.591450   \n",
       "199   25.015999                21.878061                28.376286   \n",
       "200         NaN                      NaN                      NaN   \n",
       "201   39.458652                38.070362                40.437664   \n",
       "202   55.273766                47.125324                61.504955   \n",
       "203   84.807304                77.162460               118.507180   \n",
       "204   68.870310                57.911743                78.061190   \n",
       "205   35.974052                28.843706                44.369590   \n",
       "206   86.085270                71.356610                90.433395   \n",
       "207  116.110810               112.507080               118.318550   \n",
       "208   45.359745                30.928686                63.002506   \n",
       "209   45.214200                42.901726                48.227802   \n",
       "210   62.933804                62.172665                64.195080   \n",
       "211   98.149895                65.956630               110.189230   \n",
       "212   77.167940                70.972885                84.095890   \n",
       "213   71.370180                63.277225                76.955310   \n",
       "214   49.409138                46.787487                51.676216   \n",
       "215         NaN                      NaN                      NaN   \n",
       "216   47.532307                45.141663                49.786870   \n",
       "217   91.343130                76.262740                98.778370   \n",
       "218   96.079560                91.952810               115.778150   \n",
       "219   54.240360                46.499115                60.854076   \n",
       "220   63.570880                44.136326                77.177870   \n",
       "221   58.873062                39.796566                75.973800   \n",
       "222   39.941936                37.203020                41.245712   \n",
       "223   28.050741                24.790289                32.752525   \n",
       "224   42.600143                34.074840                47.874184   \n",
       "225   40.918396                30.397083                50.478910   \n",
       "226   82.278130                78.376850                84.492966   \n",
       "227         NaN                      NaN                      NaN   \n",
       "228   43.398724                34.518585                51.042240   \n",
       "229   61.601820                58.180115                64.629050   \n",
       "230   73.453200                69.750015                77.517334   \n",
       "231   37.190865                30.305902                43.129982   \n",
       "232         NaN                      NaN                      NaN   \n",
       "233         NaN                      NaN                      NaN   \n",
       "234         NaN                      NaN                      NaN   \n",
       "235   45.208115                43.067947                46.764810   \n",
       "236   58.602985                50.305656                68.339700   \n",
       "237   92.155620                71.324905                94.746210   \n",
       "238  108.759230                91.242065               120.859980   \n",
       "239   60.909980                41.467712                82.758760   \n",
       "240   75.329580                72.247150                80.841900   \n",
       "241   35.052940                27.745617                40.895620   \n",
       "242   68.857560                62.215412                73.036575   \n",
       "243         NaN                      NaN                      NaN   \n",
       "244   51.816128                48.457134                56.028408   \n",
       "245   55.370476                50.971905                60.053158   \n",
       "246   35.998287                29.455074                41.837180   \n",
       "247   50.228687                48.637352                52.073970   \n",
       "248   44.799230                44.109287                45.914257   \n",
       "249         NaN                      NaN                      NaN   \n",
       "250         NaN                      NaN                      NaN   \n",
       "251   57.400528                54.799300                58.649280   \n",
       "252  197.115460               184.543240               204.879960   \n",
       "253   43.498768                40.136623                47.905420   \n",
       "254   62.847233                60.638970                68.685830   \n",
       "255         NaN                      NaN                      NaN   \n",
       "256   66.569480                60.585120                68.766150   \n",
       "257   53.014248                42.592552                59.350550   \n",
       "258   32.374466                28.227526                35.492170   \n",
       "259   38.351290                35.678406                39.968033   \n",
       "260   27.512815                25.536673                28.764921   \n",
       "261   64.837326                48.518850                79.484600   \n",
       "262   39.196190                28.767643                47.685993   \n",
       "263   65.163480                64.639520                67.686080   \n",
       "264   57.776886                51.002003                62.285007   \n",
       "265         NaN                      NaN                      NaN   \n",
       "266   63.585297                61.121500                66.134720   \n",
       "267   43.342260                42.169193                45.201096   \n",
       "268   65.517160                49.779510                85.587570   \n",
       "269   45.677780                38.112396                52.013900   \n",
       "270   30.384600                23.883581                37.306614   \n",
       "271   58.196410                44.010605                68.416170   \n",
       "272   37.669502                28.195763                45.711716   \n",
       "273   44.571102                33.963520                52.529310   \n",
       "274   50.489067                48.654060                55.876022   \n",
       "275         NaN                      NaN                      NaN   \n",
       "276   52.639687                39.323498                62.081467   \n",
       "277         NaN                      NaN                      NaN   \n",
       "278   69.849860                67.231895                70.421455   \n",
       "279   39.303290                36.070880                42.118730   \n",
       "280   47.787037                47.052853                48.524662   \n",
       "281   47.065514                37.727192                51.915237   \n",
       "282         NaN                      NaN                      NaN   \n",
       "\n",
       "          lum_val  lum_percentile_lower  lum_percentile_upper  \\\n",
       "0     2358.612000            1779.78320           2937.441000   \n",
       "1             NaN                   NaN                   NaN   \n",
       "2             NaN                   NaN                   NaN   \n",
       "3      536.793100             449.65690            623.929300   \n",
       "4      435.845250             326.16034            545.530150   \n",
       "5             NaN                   NaN                   NaN   \n",
       "6             NaN                   NaN                   NaN   \n",
       "7     1128.958900             993.57960           1264.338100   \n",
       "8     3853.930200            3123.95500           4583.905300   \n",
       "9      818.672900             727.61700            909.728800   \n",
       "10    1388.005400            1169.41030           1606.600500   \n",
       "11            NaN                   NaN                   NaN   \n",
       "12            NaN                   NaN                   NaN   \n",
       "13    6745.712400            5519.37160           7972.053000   \n",
       "14            NaN                   NaN                   NaN   \n",
       "15            NaN                   NaN                   NaN   \n",
       "16     710.404850             561.00070            859.809000   \n",
       "17            NaN                   NaN                   NaN   \n",
       "18            NaN                   NaN                   NaN   \n",
       "19            NaN                   NaN                   NaN   \n",
       "20            NaN                   NaN                   NaN   \n",
       "21    1835.973300            1590.45460           2081.492000   \n",
       "22    1328.388400            1170.31930           1486.457500   \n",
       "23    2614.472700            1924.45000           3304.495400   \n",
       "24            NaN                   NaN                   NaN   \n",
       "25            NaN                   NaN                   NaN   \n",
       "26            NaN                   NaN                   NaN   \n",
       "27     475.905600             347.43167            604.379500   \n",
       "28            NaN                   NaN                   NaN   \n",
       "29            NaN                   NaN                   NaN   \n",
       "30            NaN                   NaN                   NaN   \n",
       "31            NaN                   NaN                   NaN   \n",
       "32    3462.602800            3016.36350           3908.842000   \n",
       "33            NaN                   NaN                   NaN   \n",
       "34            NaN                   NaN                   NaN   \n",
       "35            NaN                   NaN                   NaN   \n",
       "36            NaN                   NaN                   NaN   \n",
       "37            NaN                   NaN                   NaN   \n",
       "38    2006.877800            1630.70960           2383.046000   \n",
       "39     950.324000             847.62146           1053.026500   \n",
       "40            NaN                   NaN                   NaN   \n",
       "41     755.442400             723.45390            787.430850   \n",
       "42     757.057000             702.85620            811.257800   \n",
       "43    2097.066700            1799.84130           2394.292000   \n",
       "44     818.755800             719.42180            918.089800   \n",
       "45            NaN                   NaN                   NaN   \n",
       "46            NaN                   NaN                   NaN   \n",
       "47     811.065060             714.06433            908.065800   \n",
       "48    2079.680000            1820.92820           2338.431600   \n",
       "49    1272.900400            1152.94060           1392.860200   \n",
       "50     887.030640             696.42050           1077.640900   \n",
       "51            NaN                   NaN                   NaN   \n",
       "52     310.183000             256.28300            364.083040   \n",
       "53            NaN                   NaN                   NaN   \n",
       "54     292.294460             242.40497            342.183960   \n",
       "55     309.285920             255.09775            363.474100   \n",
       "56            NaN                   NaN                   NaN   \n",
       "57     504.905460             393.37384            616.437100   \n",
       "58     521.665160             446.05230            597.278000   \n",
       "59     580.670960             501.43335            659.908570   \n",
       "60    2024.399900            1691.35800           2357.442000   \n",
       "61     527.878360             397.37997            658.376700   \n",
       "62     634.261600             458.20392            810.319300   \n",
       "63     734.202640             624.15970            844.245540   \n",
       "64            NaN                   NaN                   NaN   \n",
       "65    2431.000500            2249.13130           2612.869600   \n",
       "66            NaN                   NaN                   NaN   \n",
       "67     241.230770             207.30194            275.159600   \n",
       "68     279.230900             259.75190            298.709900   \n",
       "69     403.358030             292.41794            514.298100   \n",
       "70            NaN                   NaN                   NaN   \n",
       "71     674.346400             552.28950            796.403260   \n",
       "72            NaN                   NaN                   NaN   \n",
       "73     556.366500             415.61475            697.118300   \n",
       "74    2620.516600            2230.85100           3010.182100   \n",
       "75            NaN                   NaN                   NaN   \n",
       "76    2113.115000            1764.40870           2461.821300   \n",
       "77     393.661160             319.23468            468.087650   \n",
       "78     538.681000             476.49200            600.870060   \n",
       "79    1525.665400            1467.33390           1583.997000   \n",
       "80     537.332460             435.97034            638.694600   \n",
       "81            NaN                   NaN                   NaN   \n",
       "82            NaN                   NaN                   NaN   \n",
       "83            NaN                   NaN                   NaN   \n",
       "84     352.259000             297.19336            407.324650   \n",
       "85     793.217800             696.30920            890.126340   \n",
       "86            NaN                   NaN                   NaN   \n",
       "87    1715.115100            1305.10200           2125.128200   \n",
       "88   10113.610000            8320.62600          11906.595000   \n",
       "89    2396.391000            2264.12840           2528.653800   \n",
       "90    1411.284200            1349.96840           1472.600000   \n",
       "91            NaN                   NaN                   NaN   \n",
       "92            NaN                   NaN                   NaN   \n",
       "93    1027.121300             919.71735           1134.525400   \n",
       "94    1699.990000            1477.85310           1922.126800   \n",
       "95    1361.587500            1215.67940           1507.495600   \n",
       "96    1074.291600             971.29910           1177.284200   \n",
       "97    2853.420200            2641.47970           3065.360600   \n",
       "98     387.696470             367.90366            407.489300   \n",
       "99     994.760440             904.84230           1084.678600   \n",
       "100   1150.503000            1000.35864           1300.647500   \n",
       "101    388.534580             321.63208            455.437070   \n",
       "102    415.338470             336.16458            494.512360   \n",
       "103   2126.968800            1781.64500           2472.292500   \n",
       "104           NaN                   NaN                   NaN   \n",
       "105   1383.996200            1214.03700           1553.955400   \n",
       "106   1938.671100            1716.78920           2160.553000   \n",
       "107           NaN                   NaN                   NaN   \n",
       "108   2744.162800            2308.55830           3179.767300   \n",
       "109           NaN                   NaN                   NaN   \n",
       "110    829.994900             661.73175            998.258000   \n",
       "111    589.322300             547.19434            631.450300   \n",
       "112    445.611480             365.67386            525.549130   \n",
       "113   1056.663000             927.82935           1185.496600   \n",
       "114    567.733150             497.11627            638.350040   \n",
       "115    647.333800             533.70030            760.967300   \n",
       "116           NaN                   NaN                   NaN   \n",
       "117   3281.309600            2575.83960           3986.779500   \n",
       "118    205.978210             182.07289            229.883530   \n",
       "119    503.052800             355.01770            651.087900   \n",
       "120    875.201000             660.51560           1089.886400   \n",
       "121    686.074500             626.65826            745.490800   \n",
       "122    672.348200             586.38030            758.316100   \n",
       "123   1171.512600             970.47974           1372.545400   \n",
       "124    983.897340             798.39740           1169.397200   \n",
       "125           NaN                   NaN                   NaN   \n",
       "126  16090.058000           13982.48400          18197.630000   \n",
       "127   1103.687700             963.96454           1243.410900   \n",
       "128   1570.848100            1228.60400           1913.092300   \n",
       "129    343.819000             274.26816            413.369840   \n",
       "130   1052.451200             988.33040           1116.571900   \n",
       "131           NaN                   NaN                   NaN   \n",
       "132   1102.920000             872.23290           1333.607200   \n",
       "133           NaN                   NaN                   NaN   \n",
       "134           NaN                   NaN                   NaN   \n",
       "135    644.157100             590.88560            697.428600   \n",
       "136    118.605034             100.45180            136.758270   \n",
       "137   2791.837200            2412.07150           3171.602800   \n",
       "138           NaN                   NaN                   NaN   \n",
       "139    850.223140             752.42175            948.024540   \n",
       "140    425.376400             350.02307            500.729740   \n",
       "141   1002.378540             895.96140           1108.795700   \n",
       "142   2466.174600            2164.81670           2767.532500   \n",
       "143           NaN                   NaN                   NaN   \n",
       "144   1306.797200            1177.01830           1436.576200   \n",
       "145    714.823060             663.41710            766.229000   \n",
       "146           NaN                   NaN                   NaN   \n",
       "147    868.690500             765.45654            971.924440   \n",
       "148    294.839720             269.39780            320.281650   \n",
       "149    275.133880             251.06050            299.207280   \n",
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       "155   1496.966900            1335.95300           1657.980800   \n",
       "156   2053.399700            1573.47220           2533.327100   \n",
       "157           NaN                   NaN                   NaN   \n",
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       "160           NaN                   NaN                   NaN   \n",
       "161           NaN                   NaN                   NaN   \n",
       "162   1798.990200            1539.86320           2058.117200   \n",
       "163           NaN                   NaN                   NaN   \n",
       "164   1827.412100            1430.26420           2224.560000   \n",
       "165   1815.222500            1447.90590           2182.539000   \n",
       "166           NaN                   NaN                   NaN   \n",
       "167    381.906220             293.25660            470.555850   \n",
       "168    834.357240             760.10140            908.613100   \n",
       "169   1280.045700            1208.44360           1351.647700   \n",
       "170    404.173950             310.74786            497.600040   \n",
       "171           NaN                   NaN                   NaN   \n",
       "172    783.933500             728.19090            839.676000   \n",
       "173    844.007140             783.20220            904.812100   \n",
       "174   1248.619100            1167.59110           1329.647200   \n",
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       "186   2701.325000            2476.57370           2926.076200   \n",
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       "188           NaN                   NaN                   NaN   \n",
       "189   1120.320600             892.38890           1348.252200   \n",
       "190     93.805140              80.01805            107.592224   \n",
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       "192   1110.513500            1018.31070           1202.716400   \n",
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       "200           NaN                   NaN                   NaN   \n",
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       "213   1380.982900            1174.92140           1587.044400   \n",
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       "215           NaN                   NaN                   NaN   \n",
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       "217   2046.196900            1779.76610           2312.627700   \n",
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       "157  http://geadata.esac.esa.int/data-server/datali...   \n",
       "158  http://geadata.esac.esa.int/data-server/datali...   \n",
       "159  http://geadata.esac.esa.int/data-server/datali...   \n",
       "160  http://geadata.esac.esa.int/data-server/datali...   \n",
       "161  http://geadata.esac.esa.int/data-server/datali...   \n",
       "162  http://geadata.esac.esa.int/data-server/datali...   \n",
       "163  http://geadata.esac.esa.int/data-server/datali...   \n",
       "164  http://geadata.esac.esa.int/data-server/datali...   \n",
       "165  http://geadata.esac.esa.int/data-server/datali...   \n",
       "166  http://geadata.esac.esa.int/data-server/datali...   \n",
       "167  http://geadata.esac.esa.int/data-server/datali...   \n",
       "168  http://geadata.esac.esa.int/data-server/datali...   \n",
       "169  http://geadata.esac.esa.int/data-server/datali...   \n",
       "170  http://geadata.esac.esa.int/data-server/datali...   \n",
       "171  http://geadata.esac.esa.int/data-server/datali...   \n",
       "172  http://geadata.esac.esa.int/data-server/datali...   \n",
       "173  http://geadata.esac.esa.int/data-server/datali...   \n",
       "174  http://geadata.esac.esa.int/data-server/datali...   \n",
       "175  http://geadata.esac.esa.int/data-server/datali...   \n",
       "176  http://geadata.esac.esa.int/data-server/datali...   \n",
       "177  http://geadata.esac.esa.int/data-server/datali...   \n",
       "178  http://geadata.esac.esa.int/data-server/datali...   \n",
       "179  http://geadata.esac.esa.int/data-server/datali...   \n",
       "180  http://geadata.esac.esa.int/data-server/datali...   \n",
       "181  http://geadata.esac.esa.int/data-server/datali...   \n",
       "182  http://geadata.esac.esa.int/data-server/datali...   \n",
       "183  http://geadata.esac.esa.int/data-server/datali...   \n",
       "184  http://geadata.esac.esa.int/data-server/datali...   \n",
       "185  http://geadata.esac.esa.int/data-server/datali...   \n",
       "186  http://geadata.esac.esa.int/data-server/datali...   \n",
       "187  http://geadata.esac.esa.int/data-server/datali...   \n",
       "188  http://geadata.esac.esa.int/data-server/datali...   \n",
       "189  http://geadata.esac.esa.int/data-server/datali...   \n",
       "190  http://geadata.esac.esa.int/data-server/datali...   \n",
       "191  http://geadata.esac.esa.int/data-server/datali...   \n",
       "192  http://geadata.esac.esa.int/data-server/datali...   \n",
       "193  http://geadata.esac.esa.int/data-server/datali...   \n",
       "194  http://geadata.esac.esa.int/data-server/datali...   \n",
       "195  http://geadata.esac.esa.int/data-server/datali...   \n",
       "196  http://geadata.esac.esa.int/data-server/datali...   \n",
       "197  http://geadata.esac.esa.int/data-server/datali...   \n",
       "198  http://geadata.esac.esa.int/data-server/datali...   \n",
       "199  http://geadata.esac.esa.int/data-server/datali...   \n",
       "200  http://geadata.esac.esa.int/data-server/datali...   \n",
       "201  http://geadata.esac.esa.int/data-server/datali...   \n",
       "202  http://geadata.esac.esa.int/data-server/datali...   \n",
       "203  http://geadata.esac.esa.int/data-server/datali...   \n",
       "204  http://geadata.esac.esa.int/data-server/datali...   \n",
       "205  http://geadata.esac.esa.int/data-server/datali...   \n",
       "206  http://geadata.esac.esa.int/data-server/datali...   \n",
       "207  http://geadata.esac.esa.int/data-server/datali...   \n",
       "208  http://geadata.esac.esa.int/data-server/datali...   \n",
       "209  http://geadata.esac.esa.int/data-server/datali...   \n",
       "210  http://geadata.esac.esa.int/data-server/datali...   \n",
       "211  http://geadata.esac.esa.int/data-server/datali...   \n",
       "212  http://geadata.esac.esa.int/data-server/datali...   \n",
       "213  http://geadata.esac.esa.int/data-server/datali...   \n",
       "214  http://geadata.esac.esa.int/data-server/datali...   \n",
       "215  http://geadata.esac.esa.int/data-server/datali...   \n",
       "216  http://geadata.esac.esa.int/data-server/datali...   \n",
       "217  http://geadata.esac.esa.int/data-server/datali...   \n",
       "218  http://geadata.esac.esa.int/data-server/datali...   \n",
       "219  http://geadata.esac.esa.int/data-server/datali...   \n",
       "220  http://geadata.esac.esa.int/data-server/datali...   \n",
       "221  http://geadata.esac.esa.int/data-server/datali...   \n",
       "222  http://geadata.esac.esa.int/data-server/datali...   \n",
       "223  http://geadata.esac.esa.int/data-server/datali...   \n",
       "224  http://geadata.esac.esa.int/data-server/datali...   \n",
       "225  http://geadata.esac.esa.int/data-server/datali...   \n",
       "226  http://geadata.esac.esa.int/data-server/datali...   \n",
       "227  http://geadata.esac.esa.int/data-server/datali...   \n",
       "228  http://geadata.esac.esa.int/data-server/datali...   \n",
       "229  http://geadata.esac.esa.int/data-server/datali...   \n",
       "230  http://geadata.esac.esa.int/data-server/datali...   \n",
       "231  http://geadata.esac.esa.int/data-server/datali...   \n",
       "232  http://geadata.esac.esa.int/data-server/datali...   \n",
       "233  http://geadata.esac.esa.int/data-server/datali...   \n",
       "234  http://geadata.esac.esa.int/data-server/datali...   \n",
       "235  http://geadata.esac.esa.int/data-server/datali...   \n",
       "236  http://geadata.esac.esa.int/data-server/datali...   \n",
       "237  http://geadata.esac.esa.int/data-server/datali...   \n",
       "238  http://geadata.esac.esa.int/data-server/datali...   \n",
       "239  http://geadata.esac.esa.int/data-server/datali...   \n",
       "240  http://geadata.esac.esa.int/data-server/datali...   \n",
       "241  http://geadata.esac.esa.int/data-server/datali...   \n",
       "242  http://geadata.esac.esa.int/data-server/datali...   \n",
       "243  http://geadata.esac.esa.int/data-server/datali...   \n",
       "244  http://geadata.esac.esa.int/data-server/datali...   \n",
       "245  http://geadata.esac.esa.int/data-server/datali...   \n",
       "246  http://geadata.esac.esa.int/data-server/datali...   \n",
       "247  http://geadata.esac.esa.int/data-server/datali...   \n",
       "248  http://geadata.esac.esa.int/data-server/datali...   \n",
       "249  http://geadata.esac.esa.int/data-server/datali...   \n",
       "250  http://geadata.esac.esa.int/data-server/datali...   \n",
       "251  http://geadata.esac.esa.int/data-server/datali...   \n",
       "252  http://geadata.esac.esa.int/data-server/datali...   \n",
       "253  http://geadata.esac.esa.int/data-server/datali...   \n",
       "254  http://geadata.esac.esa.int/data-server/datali...   \n",
       "255  http://geadata.esac.esa.int/data-server/datali...   \n",
       "256  http://geadata.esac.esa.int/data-server/datali...   \n",
       "257  http://geadata.esac.esa.int/data-server/datali...   \n",
       "258  http://geadata.esac.esa.int/data-server/datali...   \n",
       "259  http://geadata.esac.esa.int/data-server/datali...   \n",
       "260  http://geadata.esac.esa.int/data-server/datali...   \n",
       "261  http://geadata.esac.esa.int/data-server/datali...   \n",
       "262  http://geadata.esac.esa.int/data-server/datali...   \n",
       "263  http://geadata.esac.esa.int/data-server/datali...   \n",
       "264  http://geadata.esac.esa.int/data-server/datali...   \n",
       "265  http://geadata.esac.esa.int/data-server/datali...   \n",
       "266  http://geadata.esac.esa.int/data-server/datali...   \n",
       "267  http://geadata.esac.esa.int/data-server/datali...   \n",
       "268  http://geadata.esac.esa.int/data-server/datali...   \n",
       "269  http://geadata.esac.esa.int/data-server/datali...   \n",
       "270  http://geadata.esac.esa.int/data-server/datali...   \n",
       "271  http://geadata.esac.esa.int/data-server/datali...   \n",
       "272  http://geadata.esac.esa.int/data-server/datali...   \n",
       "273  http://geadata.esac.esa.int/data-server/datali...   \n",
       "274  http://geadata.esac.esa.int/data-server/datali...   \n",
       "275  http://geadata.esac.esa.int/data-server/datali...   \n",
       "276  http://geadata.esac.esa.int/data-server/datali...   \n",
       "277  http://geadata.esac.esa.int/data-server/datali...   \n",
       "278  http://geadata.esac.esa.int/data-server/datali...   \n",
       "279  http://geadata.esac.esa.int/data-server/datali...   \n",
       "280  http://geadata.esac.esa.int/data-server/datali...   \n",
       "281  http://geadata.esac.esa.int/data-server/datali...   \n",
       "282  http://geadata.esac.esa.int/data-server/datali...   \n",
       "\n",
       "                                  epoch_photometry_url  recno       Name  \\\n",
       "0    http://geadata.esac.esa.int/data-server/data?R...      3     TW Cma   \n",
       "1    http://geadata.esac.esa.int/data-server/data?R...     10     TW Mon   \n",
       "2    http://geadata.esac.esa.int/data-server/data?R...     14   V508 Mon   \n",
       "3    http://geadata.esac.esa.int/data-server/data?R...      8     BE Mon   \n",
       "4    http://geadata.esac.esa.int/data-server/data?R...     19     CS Ori   \n",
       "5    http://geadata.esac.esa.int/data-server/data?R...      6     DX Gem   \n",
       "6    http://geadata.esac.esa.int/data-server/data?R...      4     AD Gem   \n",
       "7    http://geadata.esac.esa.int/data-server/data?R...     33   V500 Sco   \n",
       "8    http://geadata.esac.esa.int/data-server/data?R...     40     WZ Sgr   \n",
       "9    http://geadata.esac.esa.int/data-server/data?R...     41     XX Sgr   \n",
       "10   http://geadata.esac.esa.int/data-server/data?R...     37      Z Sct   \n",
       "11   http://geadata.esac.esa.int/data-server/data?R...     22     BN Pup   \n",
       "12   http://geadata.esac.esa.int/data-server/data?R...     26     LS Pup   \n",
       "13   http://geadata.esac.esa.int/data-server/data?R...     20     AQ Pup   \n",
       "14   http://geadata.esac.esa.int/data-server/data?R...     28     VZ Pup   \n",
       "15   http://geadata.esac.esa.int/data-server/data?R...     25     HW Pup   \n",
       "16   http://geadata.esac.esa.int/data-server/data?R...      2     AO Cma   \n",
       "17   http://geadata.esac.esa.int/data-server/data?R...     24     CK Pup   \n",
       "18   http://geadata.esac.esa.int/data-server/data?R...     21     BC Pup   \n",
       "19   http://geadata.esac.esa.int/data-server/data?R...     27     VW Pup   \n",
       "20   http://geadata.esac.esa.int/data-server/data?R...     29     WW Pup   \n",
       "21   http://geadata.esac.esa.int/data-server/data?R...     18     SY Nor   \n",
       "22   http://geadata.esac.esa.int/data-server/data?R...     17     QZ Nor   \n",
       "23   http://geadata.esac.esa.int/data-server/data?R...      1   V340 Ara   \n",
       "24   http://geadata.esac.esa.int/data-server/data?R...     31     KQ Sco   \n",
       "25   http://geadata.esac.esa.int/data-server/data?R...    255     AW Per   \n",
       "26   http://geadata.esac.esa.int/data-server/data?R...    342     YZ Aur   \n",
       "27   http://geadata.esac.esa.int/data-server/data?R...     29     GV Aur   \n",
       "28   http://geadata.esac.esa.int/data-server/data?R...     33   V335 Aur   \n",
       "29   http://geadata.esac.esa.int/data-server/data?R...     28     GT Aur   \n",
       "30   http://geadata.esac.esa.int/data-server/data?R...     26     EW Aur   \n",
       "31   http://geadata.esac.esa.int/data-server/data?R...     27     FF Aur   \n",
       "32   http://geadata.esac.esa.int/data-server/data?R...     32     RX Aur   \n",
       "33   http://geadata.esac.esa.int/data-server/data?R...     22     AN Aur   \n",
       "34   http://geadata.esac.esa.int/data-server/data?R...    260     HQ Per   \n",
       "35   http://geadata.esac.esa.int/data-server/data?R...    264     SV Per   \n",
       "36   http://geadata.esac.esa.int/data-server/data?R...     24     CY Aur   \n",
       "37   http://geadata.esac.esa.int/data-server/data?R...    265     SX Per   \n",
       "38   http://geadata.esac.esa.int/data-server/data?R...    339     BK Aur   \n",
       "39   http://geadata.esac.esa.int/data-server/data?R...    254     AS Per   \n",
       "40   http://geadata.esac.esa.int/data-server/data?R...     49   V359 Cam   \n",
       "41   http://geadata.esac.esa.int/data-server/data?R...     39     CK Cam   \n",
       "42   http://geadata.esac.esa.int/data-server/data?R...    117     TU Cas   \n",
       "43   http://geadata.esac.esa.int/data-server/data?R...     95     FM Cas   \n",
       "44   http://geadata.esac.esa.int/data-server/data?R...    115     SY Cas   \n",
       "45   http://geadata.esac.esa.int/data-server/data?R...    101     HK Cas   \n",
       "46   http://geadata.esac.esa.int/data-server/data?R...    106     NY Cas   \n",
       "47   http://geadata.esac.esa.int/data-server/data?R...    133     XY Cas   \n",
       "48   http://geadata.esac.esa.int/data-server/data?R...     92     DL Cas   \n",
       "49   http://geadata.esac.esa.int/data-server/data?R...    126   V379 Cas   \n",
       "50   http://geadata.esac.esa.int/data-server/data?R...     85     CG Cas   \n",
       "51   http://geadata.esac.esa.int/data-server/data?R...     96     FO Cas   \n",
       "52   http://geadata.esac.esa.int/data-server/data?R...     79     BF Cas   \n",
       "53   http://geadata.esac.esa.int/data-server/data?R...     94     EX Cas   \n",
       "54   http://geadata.esac.esa.int/data-server/data?R...     87     CT Cas   \n",
       "55   http://geadata.esac.esa.int/data-server/data?R...     97     FW Cas   \n",
       "56   http://geadata.esac.esa.int/data-server/data?R...     75     AP Cas   \n",
       "57   http://geadata.esac.esa.int/data-server/data?R...    258     DW Per   \n",
       "58   http://geadata.esac.esa.int/data-server/data?R...    267     UY Per   \n",
       "59   http://geadata.esac.esa.int/data-server/data?R...    271     VY Per   \n",
       "60   http://geadata.esac.esa.int/data-server/data?R...    116     SZ Cas   \n",
       "61   http://geadata.esac.esa.int/data-server/data?R...     36     AC Cam   \n",
       "62   http://geadata.esac.esa.int/data-server/data?R...     37     AD Cam   \n",
       "63   http://geadata.esac.esa.int/data-server/data?R...     91     DF Cas   \n",
       "64   http://geadata.esac.esa.int/data-server/data?R...    104     LT Cas   \n",
       "65   http://geadata.esac.esa.int/data-server/data?R...     47     RX Cam   \n",
       "66   http://geadata.esac.esa.int/data-server/data?R...     40     LO Cam   \n",
       "67   http://geadata.esac.esa.int/data-server/data?R...     46     RW Cam   \n",
       "68   http://geadata.esac.esa.int/data-server/data?R...     43     OX Cam   \n",
       "69   http://geadata.esac.esa.int/data-server/data?R...     38     AM Cam   \n",
       "70   http://geadata.esac.esa.int/data-server/data?R...    257     CI Per   \n",
       "71   http://geadata.esac.esa.int/data-server/data?R...    131     VV Cas   \n",
       "72   http://geadata.esac.esa.int/data-server/data?R...    102     IO Cas   \n",
       "73   http://geadata.esac.esa.int/data-server/data?R...    266     UX Per   \n",
       "74   http://geadata.esac.esa.int/data-server/data?R...    270     VX Per   \n",
       "75   http://geadata.esac.esa.int/data-server/data?R...     98     GL Cas   \n",
       "76   http://geadata.esac.esa.int/data-server/data?R...    111     RW Cas   \n",
       "77   http://geadata.esac.esa.int/data-server/data?R...     77     AW Cas   \n",
       "78   http://geadata.esac.esa.int/data-server/data?R...     82     BY Cas   \n",
       "79   http://geadata.esac.esa.int/data-server/data?R...    130   V636 Cas   \n",
       "80   http://geadata.esac.esa.int/data-server/data?R...     78     AY Cas   \n",
       "81   http://geadata.esac.esa.int/data-server/data?R...    127   V395 Cas   \n",
       "82   http://geadata.esac.esa.int/data-server/data?R...    119  V1017 Cas   \n",
       "83   http://geadata.esac.esa.int/data-server/data?R...    118     UZ Cas   \n",
       "84   http://geadata.esac.esa.int/data-server/data?R...    107     OP Cas   \n",
       "85   http://geadata.esac.esa.int/data-server/data?R...     80     BP Cas   \n",
       "86   http://geadata.esac.esa.int/data-server/data?R...    219     EK Del   \n",
       "87   http://geadata.esac.esa.int/data-server/data?R...      7     KL Aql   \n",
       "88   http://geadata.esac.esa.int/data-server/data?R...    292      S Sge   \n",
       "89   http://geadata.esac.esa.int/data-server/data?R...    321      U Vul   \n",
       "90   http://geadata.esac.esa.int/data-server/data?R...    175     DT Cyg   \n",
       "91   http://geadata.esac.esa.int/data-server/data?R...    320      T Vul   \n",
       "92   http://geadata.esac.esa.int/data-server/data?R...    218      X Cyg   \n",
       "93   http://geadata.esac.esa.int/data-server/data?R...    216     VY Cyg   \n",
       "94   http://geadata.esac.esa.int/data-server/data?R...    215     VX Cyg   \n",
       "95   http://geadata.esac.esa.int/data-server/data?R...    217     VZ Cyg   \n",
       "96   http://geadata.esac.esa.int/data-server/data?R...    222     BG Lac   \n",
       "97   http://geadata.esac.esa.int/data-server/data?R...    194  V1334 Cyg   \n",
       "98   http://geadata.esac.esa.int/data-server/data?R...    200   V386 Cyg   \n",
       "99   http://geadata.esac.esa.int/data-server/data?R...    209   V532 Cyg   \n",
       "100  http://geadata.esac.esa.int/data-server/data?R...    229      Y Lac   \n",
       "101  http://geadata.esac.esa.int/data-server/data?R...    196  V1397 Cyg   \n",
       "102  http://geadata.esac.esa.int/data-server/data?R...    124  V1206 Cas   \n",
       "103  http://geadata.esac.esa.int/data-server/data?R...    112     RY Cas   \n",
       "104  http://geadata.esac.esa.int/data-server/data?R...    224     FQ Lac   \n",
       "105  http://geadata.esac.esa.int/data-server/data?R...    226      V Lac   \n",
       "106  http://geadata.esac.esa.int/data-server/data?R...    228      X Lac   \n",
       "107  http://geadata.esac.esa.int/data-server/data?R...    223     DF Lac   \n",
       "108  http://geadata.esac.esa.int/data-server/data?R...    225     RR Lac   \n",
       "109  http://geadata.esac.esa.int/data-server/data?R...    230      Z Lac   \n",
       "110  http://geadata.esac.esa.int/data-server/data?R...    149     AK Cep   \n",
       "111  http://geadata.esac.esa.int/data-server/data?R...    152     CR Cep   \n",
       "112  http://geadata.esac.esa.int/data-server/data?R...    125   V342 Cas   \n",
       "113  http://geadata.esac.esa.int/data-server/data?R...    114     SW Cas   \n",
       "114  http://geadata.esac.esa.int/data-server/data?R...     93     DW Cas   \n",
       "115  http://geadata.esac.esa.int/data-server/data?R...     84     CF Cas   \n",
       "116  http://geadata.esac.esa.int/data-server/data?R...    128   V407 Cas   \n",
       "117  http://geadata.esac.esa.int/data-server/data?R...     90     DD Cas   \n",
       "118  http://geadata.esac.esa.int/data-server/data?R...    158   V911 Cep   \n",
       "119  http://geadata.esac.esa.int/data-server/data?R...    109     PW Cas   \n",
       "120  http://geadata.esac.esa.int/data-server/data?R...     89     CZ Cas   \n",
       "121  http://geadata.esac.esa.int/data-server/data?R...    110     RS Cas   \n",
       "122  http://geadata.esac.esa.int/data-server/data?R...     83     CD Cas   \n",
       "123  http://geadata.esac.esa.int/data-server/data?R...     86     CH Cas   \n",
       "124  http://geadata.esac.esa.int/data-server/data?R...     88     CY Cas   \n",
       "125  http://geadata.esac.esa.int/data-server/data?R...    322      X Vul   \n",
       "126  http://geadata.esac.esa.int/data-server/data?R...    319     SV Vul   \n",
       "127  http://geadata.esac.esa.int/data-server/data?R...    180     GH Cyg   \n",
       "128  http://geadata.esac.esa.int/data-server/data?R...    179     EZ Cyg   \n",
       "129  http://geadata.esac.esa.int/data-server/data?R...    190  V1025 Cyg   \n",
       "130  http://geadata.esac.esa.int/data-server/data?R...    186     SU Cyg   \n",
       "131  http://geadata.esac.esa.int/data-server/data?R...    176     EP Cyg   \n",
       "132  http://geadata.esac.esa.int/data-server/data?R...    181     GI Cyg   \n",
       "133  http://geadata.esac.esa.int/data-server/data?R...    177     EU Cyg   \n",
       "134  http://geadata.esac.esa.int/data-server/data?R...    214   V924 Cyg   \n",
       "135  http://geadata.esac.esa.int/data-server/data?R...    185     MW Cyg   \n",
       "136  http://geadata.esac.esa.int/data-server/data?R...    191  V1033 Cyg   \n",
       "137  http://geadata.esac.esa.int/data-server/data?R...    174     CD Cyg   \n",
       "138  http://geadata.esac.esa.int/data-server/data?R...    211   V547 Cyg   \n",
       "139  http://geadata.esac.esa.int/data-server/data?R...    202   V402 Cyg   \n",
       "140  http://geadata.esac.esa.int/data-server/data?R...    192  V1046 Cyg   \n",
       "141  http://geadata.esac.esa.int/data-server/data?R...    173     BZ Cyg   \n",
       "142  http://geadata.esac.esa.int/data-server/data?R...    187     SZ Cyg   \n",
       "143  http://geadata.esac.esa.int/data-server/data?R...    182     GL Cyg   \n",
       "144  http://geadata.esac.esa.int/data-server/data?R...    193  V1154 Cyg   \n",
       "145  http://geadata.esac.esa.int/data-server/data?R...    188     TX Cyg   \n",
       "146  http://geadata.esac.esa.int/data-server/data?R...    199   V356 Cyg   \n",
       "147  http://geadata.esac.esa.int/data-server/data?R...    204   V459 Cyg   \n",
       "148  http://geadata.esac.esa.int/data-server/data?R...    207   V514 Cyg   \n",
       "149  http://geadata.esac.esa.int/data-server/data?R...    208   V520 Cyg   \n",
       "150  http://geadata.esac.esa.int/data-server/data?R...    151     CP Cep   \n",
       "151  http://geadata.esac.esa.int/data-server/data?R...    156     MU Cep   \n",
       "152  http://geadata.esac.esa.int/data-server/data?R...    154     IR Cep   \n",
       "153  http://geadata.esac.esa.int/data-server/data?R...    164     XZ Cma   \n",
       "154  http://geadata.esac.esa.int/data-server/data?R...    350     RZ Cma   \n",
       "155  http://geadata.esac.esa.int/data-server/data?R...    349     RY Cma   \n",
       "156  http://geadata.esac.esa.int/data-server/data?R...    233     AC Mon   \n",
       "157  http://geadata.esac.esa.int/data-server/data?R...    246     YY Mon   \n",
       "158  http://geadata.esac.esa.int/data-server/data?R...    237     FG Mon   \n",
       "159  http://geadata.esac.esa.int/data-server/data?R...    238     FI Mon   \n",
       "160  http://geadata.esac.esa.int/data-server/data?R...    236     EE Mon   \n",
       "161  http://geadata.esac.esa.int/data-server/data?R...    242   V504 Mon   \n",
       "162  http://geadata.esac.esa.int/data-server/data?R...    243   V526 Mon   \n",
       "163  http://geadata.esac.esa.int/data-server/data?R...    241   V484 Mon   \n",
       "164  http://geadata.esac.esa.int/data-server/data?R...    353     UY Mon   \n",
       "165  http://geadata.esac.esa.int/data-server/data?R...    355     GQ Ori   \n",
       "166  http://geadata.esac.esa.int/data-server/data?R...    252     CR Ori   \n",
       "167  http://geadata.esac.esa.int/data-server/data?R...    244   V911 Mon   \n",
       "168  http://geadata.esac.esa.int/data-server/data?R...    335     EU Tau   \n",
       "169  http://geadata.esac.esa.int/data-server/data?R...    336     SZ Tau   \n",
       "170  http://geadata.esac.esa.int/data-server/data?R...    363     AV Tau   \n",
       "171  http://geadata.esac.esa.int/data-server/data?R...    338     AX Aur   \n",
       "172  http://geadata.esac.esa.int/data-server/data?R...     23     CO Aur   \n",
       "173  http://geadata.esac.esa.int/data-server/data?R...    275   V482 Sco   \n",
       "174  http://geadata.esac.esa.int/data-server/data?R...    293     AP Sgr   \n",
       "175  http://geadata.esac.esa.int/data-server/data?R...    296   V350 Sgr   \n",
       "176  http://geadata.esac.esa.int/data-server/data?R...    294     BB Sgr   \n",
       "177  http://geadata.esac.esa.int/data-server/data?R...    295      U Sgr   \n",
       "178  http://geadata.esac.esa.int/data-server/data?R...    285   V458 Sct   \n",
       "179  http://geadata.esac.esa.int/data-server/data?R...    286      Y Sct   \n",
       "180  http://geadata.esac.esa.int/data-server/data?R...    251      Y Oph   \n",
       "181  http://geadata.esac.esa.int/data-server/data?R...     11  V1162 Aql   \n",
       "182  http://geadata.esac.esa.int/data-server/data?R...     16   V496 Aql   \n",
       "183  http://geadata.esac.esa.int/data-server/data?R...    280     CM Sct   \n",
       "184  http://geadata.esac.esa.int/data-server/data?R...    284     TY Sct   \n",
       "185  http://geadata.esac.esa.int/data-server/data?R...     15   V493 Aql   \n",
       "186  http://geadata.esac.esa.int/data-server/data?R...      9     TT Aql   \n",
       "187  http://geadata.esac.esa.int/data-server/data?R...      8     SZ Aql   \n",
       "188  http://geadata.esac.esa.int/data-server/data?R...      6     FN Aql   \n",
       "189  http://geadata.esac.esa.int/data-server/data?R...     19   V733 Aql   \n",
       "190  http://geadata.esac.esa.int/data-server/data?R...     17   V526 Aql   \n",
       "191  http://geadata.esac.esa.int/data-server/data?R...     18   V600 Aql   \n",
       "192  http://geadata.esac.esa.int/data-server/data?R...      5     FM Aql   \n",
       "193  http://geadata.esac.esa.int/data-server/data?R...     20   V916 Aql   \n",
       "194  http://geadata.esac.esa.int/data-server/data?R...    221     BB Her   \n",
       "195  http://geadata.esac.esa.int/data-server/data?R...      4     FF Aql   \n",
       "196  http://geadata.esac.esa.int/data-server/data?R...    248     RT Mus   \n",
       "197  http://geadata.esac.esa.int/data-server/data?R...     70     XX Car   \n",
       "198  http://geadata.esac.esa.int/data-server/data?R...     71     XY Car   \n",
       "199  http://geadata.esac.esa.int/data-server/data?R...    347   V397 Car   \n",
       "200  http://geadata.esac.esa.int/data-server/data?R...     66     UY Car   \n",
       "201  http://geadata.esac.esa.int/data-server/data?R...     54     EY Car   \n",
       "202  http://geadata.esac.esa.int/data-server/data?R...     61     HW Car   \n",
       "203  http://geadata.esac.esa.int/data-server/data?R...     67     UZ Car   \n",
       "204  http://geadata.esac.esa.int/data-server/data?R...    343     AQ Car   \n",
       "205  http://geadata.esac.esa.int/data-server/data?R...     59     GZ Car   \n",
       "206  http://geadata.esac.esa.int/data-server/data?R...     65     UW Car   \n",
       "207  http://geadata.esac.esa.int/data-server/data?R...     74     YZ Car   \n",
       "208  http://geadata.esac.esa.int/data-server/data?R...     58     GX Car   \n",
       "209  http://geadata.esac.esa.int/data-server/data?R...     50     CN Car   \n",
       "210  http://geadata.esac.esa.int/data-server/data?R...    346      V Car   \n",
       "211  http://geadata.esac.esa.int/data-server/data?R...    313     FN Vel   \n",
       "212  http://geadata.esac.esa.int/data-server/data?R...    308     CS Vel   \n",
       "213  http://geadata.esac.esa.int/data-server/data?R...    306     AE Vel   \n",
       "214  http://geadata.esac.esa.int/data-server/data?R...    310     DK Vel   \n",
       "215  http://geadata.esac.esa.int/data-server/data?R...    311     EX Vel   \n",
       "216  http://geadata.esac.esa.int/data-server/data?R...    312     FG Vel   \n",
       "217  http://geadata.esac.esa.int/data-server/data?R...    368     DR Vel   \n",
       "218  http://geadata.esac.esa.int/data-server/data?R...    367     BG Vel   \n",
       "219  http://geadata.esac.esa.int/data-server/data?R...    371     ST Vel   \n",
       "220  http://geadata.esac.esa.int/data-server/data?R...    373     SX Vel   \n",
       "221  http://geadata.esac.esa.int/data-server/data?R...    332     UU Mus   \n",
       "222  http://geadata.esac.esa.int/data-server/data?R...    137     BK Cen   \n",
       "223  http://geadata.esac.esa.int/data-server/data?R...    140     UZ Cen   \n",
       "224  http://geadata.esac.esa.int/data-server/data?R...    135     AZ Cen   \n",
       "225  http://geadata.esac.esa.int/data-server/data?R...    134     AY Cen   \n",
       "226  http://geadata.esac.esa.int/data-server/data?R...    136     BB Cen   \n",
       "227  http://geadata.esac.esa.int/data-server/data?R...    138     KK Cen   \n",
       "228  http://geadata.esac.esa.int/data-server/data?R...     63     IT Car   \n",
       "229  http://geadata.esac.esa.int/data-server/data?R...     57     GH Car   \n",
       "230  http://geadata.esac.esa.int/data-server/data?R...     56     FR Car   \n",
       "231  http://geadata.esac.esa.int/data-server/data?R...     51     CY Car   \n",
       "232  http://geadata.esac.esa.int/data-server/data?R...     72     XZ Car   \n",
       "233  http://geadata.esac.esa.int/data-server/data?R...     52     DY Car   \n",
       "234  http://geadata.esac.esa.int/data-server/data?R...    323      U Car   \n",
       "235  http://geadata.esac.esa.int/data-server/data?R...     69     WW Car   \n",
       "236  http://geadata.esac.esa.int/data-server/data?R...     53     ER Car   \n",
       "237  http://geadata.esac.esa.int/data-server/data?R...     55     FI Car   \n",
       "238  http://geadata.esac.esa.int/data-server/data?R...    348     VY Car   \n",
       "239  http://geadata.esac.esa.int/data-server/data?R...    314     SV Vel   \n",
       "240  http://geadata.esac.esa.int/data-server/data?R...     73      Y Car   \n",
       "241  http://geadata.esac.esa.int/data-server/data?R...    345     UX Car   \n",
       "242  http://geadata.esac.esa.int/data-server/data?R...    315     XX Vel   \n",
       "243  http://geadata.esac.esa.int/data-server/data?R...    369     RY Vel   \n",
       "244  http://geadata.esac.esa.int/data-server/data?R...      1      T Ant   \n",
       "245  http://geadata.esac.esa.int/data-server/data?R...    359     MY Pup   \n",
       "246  http://geadata.esac.esa.int/data-server/data?R...    366     AX Vel   \n",
       "247  http://geadata.esac.esa.int/data-server/data?R...    365     AH Vel   \n",
       "248  http://geadata.esac.esa.int/data-server/data?R...    374      T Vel   \n",
       "249  http://geadata.esac.esa.int/data-server/data?R...    370     RZ Vel   \n",
       "250  http://geadata.esac.esa.int/data-server/data?R...    272     NT Pup   \n",
       "251  http://geadata.esac.esa.int/data-server/data?R...    358     AT Pup   \n",
       "252  http://geadata.esac.esa.int/data-server/data?R...    360     RS Pup   \n",
       "253  http://geadata.esac.esa.int/data-server/data?R...    163     VZ Cma   \n",
       "254  http://geadata.esac.esa.int/data-server/data?R...    362     WX Pup   \n",
       "255  http://geadata.esac.esa.int/data-server/data?R...    356     AD Pup   \n",
       "256  http://geadata.esac.esa.int/data-server/data?R...    273   V335 Pup   \n",
       "257  http://geadata.esac.esa.int/data-server/data?R...    304      S TrA   \n",
       "258  http://geadata.esac.esa.int/data-server/data?R...    302     LR TrA   \n",
       "259  http://geadata.esac.esa.int/data-server/data?R...    303      R TrA   \n",
       "260  http://geadata.esac.esa.int/data-server/data?R...    305      U TrA   \n",
       "261  http://geadata.esac.esa.int/data-server/data?R...    333      S Nor   \n",
       "262  http://geadata.esac.esa.int/data-server/data?R...    160     AV Cir   \n",
       "263  http://geadata.esac.esa.int/data-server/data?R...    247      R Mus   \n",
       "264  http://geadata.esac.esa.int/data-server/data?R...    331      S Mus   \n",
       "265  http://geadata.esac.esa.int/data-server/data?R...    147   V659 Cen   \n",
       "266  http://geadata.esac.esa.int/data-server/data?R...    143   V378 Cen   \n",
       "267  http://geadata.esac.esa.int/data-server/data?R...    144   V381 Cen   \n",
       "268  http://geadata.esac.esa.int/data-server/data?R...    326     XX Cen   \n",
       "269  http://geadata.esac.esa.int/data-server/data?R...    161     AX Cir   \n",
       "270  http://geadata.esac.esa.int/data-server/data?R...    162     BP Cir   \n",
       "271  http://geadata.esac.esa.int/data-server/data?R...    148   V737 Cen   \n",
       "272  http://geadata.esac.esa.int/data-server/data?R...    325      V Cen   \n",
       "273  http://geadata.esac.esa.int/data-server/data?R...    277   V950 Sco   \n",
       "274  http://geadata.esac.esa.int/data-server/data?R...    274     RV Sco   \n",
       "275  http://geadata.esac.esa.int/data-server/data?R...    171     VW Cru   \n",
       "276  http://geadata.esac.esa.int/data-server/data?R...    170      T Cru   \n",
       "277  http://geadata.esac.esa.int/data-server/data?R...    146   V496 Cen   \n",
       "278  http://geadata.esac.esa.int/data-server/data?R...    165     AD Cru   \n",
       "279  http://geadata.esac.esa.int/data-server/data?R...    167     BG Cru   \n",
       "280  http://geadata.esac.esa.int/data-server/data?R...    166     AG Cru   \n",
       "281  http://geadata.esac.esa.int/data-server/data?R...    172      X Cru   \n",
       "282  http://geadata.esac.esa.int/data-server/data?R...    169      S Cru   \n",
       "\n",
       "        VType  logPer  <Jmag>  <Hmag>  <Kmag>  [Fe/H]l  [Fe/H]  e_[Fe/H]  Nsp  \\\n",
       "0        DCEP  0.8448   7.567   7.178   7.008    -0.51    0.04      0.09  1.0   \n",
       "1         CEP  0.8511   9.709   9.137   8.904    -0.15   -0.13      0.07  1.0   \n",
       "2        DCEP  0.6163   8.627   8.277   8.136    -0.25   -0.04      0.10  1.0   \n",
       "3        DCEP  0.4322   8.256   7.854   7.676    -0.07    0.05      0.09  1.0   \n",
       "4        DCEP  0.5899   9.331   8.954   8.790    -0.19   -0.25      0.06  1.0   \n",
       "5       DCEPS  0.4966   8.759   8.336   8.207    -0.04   -0.01      0.09  1.0   \n",
       "6        DCEP  0.5784   8.448   8.151   8.027    -0.19   -0.14      0.06  1.0   \n",
       "7        DCEP  0.9693   6.041   5.532   5.330     0.01   -0.07      0.08  4.0   \n",
       "8        DCEP  1.3394   5.255   4.752   4.536     0.19    0.28      0.08  5.0   \n",
       "9         CEP  0.8078   6.436   5.967   5.747     0.10   -0.01      0.06  5.0   \n",
       "10       DCEP  1.1106   6.949   6.477   6.263     0.33    0.12      0.09  5.0   \n",
       "11       DCEP  1.1359   7.563   7.090   6.910    -0.03    0.03      0.05  1.0   \n",
       "12        CEP  1.1506   8.030   7.531   7.341    -0.15   -0.12      0.11  1.0   \n",
       "13       DCEP  1.4786   6.033   5.495   5.283    -0.26    0.06      0.05  1.0   \n",
       "14       DCEP  1.3649   7.309   6.842   6.657    -0.37   -0.01      0.04  1.0   \n",
       "15       DCEP  1.1289   9.468   8.914   8.716    -0.28   -0.22      0.09  1.0   \n",
       "16       DCEP  0.7646   9.154   8.595   8.366    -0.04    0.01      0.06  1.0   \n",
       "17        CEP  0.8703  10.273   9.703   9.456    -0.12   -0.13      0.06  2.0   \n",
       "18       DCEP  0.5495  11.015  10.475  10.247    -0.23   -0.31      0.07  1.0   \n",
       "19       DCEP  0.6320   9.008   8.514   8.360    -0.19   -0.14      0.06  1.0   \n",
       "20       DCEP  0.7417   8.653   8.274   8.131    -0.18    0.13      0.16  1.0   \n",
       "21       DCEP  1.1019   6.638   6.091   5.864     0.34    0.23      0.07  2.0   \n",
       "22      DCEPS  0.5782   7.085   6.748   6.614     0.19    0.21      0.06  2.0   \n",
       "23       DCEP  1.3183   7.302   6.754   6.534     0.40    0.33      0.09  6.0   \n",
       "24       DCEP  1.4577   5.945   5.229   4.924     0.22    0.52      0.08  5.0   \n",
       "25       DCEP  0.8105   5.213   4.832   4.657     0.04    0.01       NaN  NaN   \n",
       "26       DCEP  1.2599   7.487   6.905   6.669    -0.33   -0.19       NaN  NaN   \n",
       "27       DCEP  0.7210   9.493   9.011   8.811    -0.21   -0.24       NaN  NaN   \n",
       "28       DCEP  0.5331   9.863   9.398   9.195    -0.30   -0.33       NaN  NaN   \n",
       "29       DCEP  0.6439  10.407  10.083   9.978    -0.02   -0.05       NaN  NaN   \n",
       "30       DCEP  0.4248  11.232  10.755  10.592    -0.54   -0.57       NaN  NaN   \n",
       "31       DCEP  0.3264  11.661  11.070  10.907    -0.51   -0.54       NaN  NaN   \n",
       "32       DCEP  1.0654   5.726   5.357   5.212     0.10    0.07       NaN  NaN   \n",
       "33       DCEP  1.0124   7.927   7.446   7.237    -0.10   -0.13       NaN  NaN   \n",
       "34        CEP  0.9364   9.179   8.626   8.465    -0.35   -0.38       NaN  NaN   \n",
       "35       DCEP  1.0465   6.789   6.354   6.177     0.06    0.03       NaN  NaN   \n",
       "36       DCEP  1.1414   8.586   7.958   7.709    -0.12   -0.15       NaN  NaN   \n",
       "37       DCEP  0.6325   8.757   8.347   8.167    -0.03   -0.06       NaN  NaN   \n",
       "38       DCEP  0.9032   7.291   6.885   6.711    -0.07    0.07       NaN  NaN   \n",
       "39       DCEP  0.6966   6.928   6.477   6.258     0.14    0.11       NaN  NaN   \n",
       "40       DCEP  0.8195   9.557   9.078   8.864    -0.16   -0.19       NaN  NaN   \n",
       "41       DCEP  0.5172   0.000   0.000   0.000     0.07    0.04       NaN  NaN   \n",
       "42     CEP(B)  0.3303   6.681   6.441   6.331     0.03    0.09       NaN  NaN   \n",
       "43       DCEP  0.7641   7.128   6.747   6.581    -0.09   -0.03       NaN  NaN   \n",
       "44       DCEP  0.6097   7.816   7.449   7.287     0.04    0.10       NaN  NaN   \n",
       "45       DCEP  0.3979  12.016  11.831  11.668     0.45    0.42       NaN  NaN   \n",
       "46      DCEPS  0.4507  11.398  10.985  10.850    -0.46   -0.49       NaN  NaN   \n",
       "47       DCEP  0.6534   7.735   7.336   7.156     0.10    0.07       NaN  NaN   \n",
       "48       DCEP  0.9031   6.550   6.101   5.892    -0.01    0.05       NaN  NaN   \n",
       "49      DCEPS  0.6340   6.816   6.362   6.217     0.06    0.12       NaN  NaN   \n",
       "50       DCEP  0.6400   8.903   8.299   8.109     0.09    0.06       NaN  NaN   \n",
       "51       DCEP  0.8324  11.136  10.529  10.267    -0.56   -0.59       NaN  NaN   \n",
       "52       DCEP  0.5599   9.568   9.032   8.840    -0.05   -0.08       NaN  NaN   \n",
       "53       DCEP  0.6340   9.556   8.944   8.742    -0.07   -0.10       NaN  NaN   \n",
       "54       DCEP  0.5810   9.455   8.810   8.600    -0.05   -0.08       NaN  NaN   \n",
       "55       DCEP  0.7950   9.408   8.716   8.393    -0.09   -0.12       NaN  NaN   \n",
       "56       DCEP  0.8355   8.788   8.189   7.982     0.05    0.02       NaN  NaN   \n",
       "57       DCEP  0.5623   9.181   8.733   8.537    -0.05   -0.08       NaN  NaN   \n",
       "58       DCEP  0.7296   8.079   7.536   7.334     0.18    0.15       NaN  NaN   \n",
       "59       DCEP  0.7429   7.829   7.247   7.013     0.04    0.01       NaN  NaN   \n",
       "60      DCEPS  1.1346   6.814   6.217   6.007     0.07    0.04       NaN  NaN   \n",
       "61       DCEP  0.6188   9.325   8.752   8.499    -0.13   -0.16       NaN  NaN   \n",
       "62       DCEP  1.0516   8.988   8.363   8.109    -0.25   -0.28       NaN  NaN   \n",
       "63       DCEP  0.5835   8.488   8.036   7.879     0.13    0.19       NaN  NaN   \n",
       "64       DCEP  0.7712   9.733   9.264   9.074    -0.36   -0.39       NaN  NaN   \n",
       "65       DCEP  0.8983   5.161   4.726   4.540     0.11    0.08       NaN  NaN   \n",
       "66       DCEP  1.1017   0.000   0.000   0.000    -0.05   -0.08       NaN  NaN   \n",
       "67       DCEP  1.2152   5.817   5.289   5.077     0.11    0.08       NaN  NaN   \n",
       "68       DCEP  0.7050   7.329   6.740   6.478    -0.01   -0.04       NaN  NaN   \n",
       "69        CEP  0.6018  10.179   9.517   9.313    -0.13   -0.16       NaN  NaN   \n",
       "70       CEP:  0.5286  10.666  10.427  10.293    -0.32   -0.35       NaN  NaN   \n",
       "71       DCEP  0.7929   8.316   7.880   7.697    -0.04   -0.07       NaN  NaN   \n",
       "72       DCEP  0.7485  11.082  10.612  10.503    -0.49   -0.52       NaN  NaN   \n",
       "73       DCEP  0.6595   9.577   9.171   9.009    -0.05   -0.08       NaN  NaN   \n",
       "74       DCEP  1.0370   6.879   6.439   6.240     0.06    0.03       NaN  NaN   \n",
       "75       DCEP  0.6029   9.778   9.432   9.216     0.03    0.00       NaN  NaN   \n",
       "76       DCEP  1.1701   6.829   6.366   6.175     0.22    0.28       NaN  NaN   \n",
       "77       DCEP  0.6313   8.774   8.206   7.919     0.03    0.00       NaN  NaN   \n",
       "78      DCEPS  0.5083   7.637   7.199   7.035     0.12    0.09       NaN  NaN   \n",
       "79      DCEPS  0.9231   4.899   4.158   4.059     0.07    0.13       NaN  NaN   \n",
       "80       DCEP  0.4581   9.055   8.545   8.315     0.02   -0.01       NaN  NaN   \n",
       "81       DCEP  0.6061   8.446   8.001   7.874     0.02   -0.01       NaN  NaN   \n",
       "82       DCEP  0.6665   9.766   9.289   9.100    -0.18   -0.21       NaN  NaN   \n",
       "83       DCEP  0.6294   9.155   8.679   8.522    -0.05   -0.08       NaN  NaN   \n",
       "84       DCEP  0.7414   8.778   8.207   7.966     0.14    0.11       NaN  NaN   \n",
       "85       DCEP  0.7975   7.842   7.275   7.042     0.09    0.06       NaN  NaN   \n",
       "86        CEP  0.3111  11.292  10.953  10.887    -1.54   -1.57       NaN  NaN   \n",
       "87       DCEP  0.7859   8.488   8.114   7.979     0.33    0.30       NaN  NaN   \n",
       "88       DCEP  0.9234   4.183   3.859   3.752     0.08    0.14       NaN  NaN   \n",
       "89       DCEP  0.9026   4.506   4.086   3.891     0.19    0.16       NaN  NaN   \n",
       "90      DCEPS  0.3978   4.638   4.390   4.374     0.10    0.16       NaN  NaN   \n",
       "91       DCEP  0.6469   4.558   4.273   4.185     0.01    0.07       NaN  NaN   \n",
       "92       DCEP  1.2145   4.417   3.969   3.815     0.10    0.16       NaN  NaN   \n",
       "93       DCEP  0.8953   6.999   6.548   6.337     0.00    0.06       NaN  NaN   \n",
       "94       DCEP  1.3039   6.694   6.078   5.840     0.09    0.15       NaN  NaN   \n",
       "95       DCEP  0.6870   7.186   6.852   6.699     0.05    0.11       NaN  NaN   \n",
       "96       DCEP  0.7269   7.009   6.649   6.473     0.07    0.04       NaN  NaN   \n",
       "97      DCEPS  0.5228   5.170   4.664   4.460     0.03    0.09       NaN  NaN   \n",
       "98       DCEP  0.7208   6.363   5.806   5.524     0.11    0.17       NaN  NaN   \n",
       "99      DCEPS  0.5164   6.863   6.393   6.250    -0.04    0.02       NaN  NaN   \n",
       "100      DCEP  0.6359   7.612   7.310   7.180     0.03    0.00       NaN  NaN   \n",
       "101       IS:  0.6665   9.127   8.507   8.262     0.01   -0.02       NaN  NaN   \n",
       "102      DCEP  0.6758   9.419   8.871   8.655    -0.16   -0.19       NaN  NaN   \n",
       "103      DCEP  1.0841   7.062   6.549   6.311     0.26    0.32       NaN  NaN   \n",
       "104      CEP:  1.0518  11.234  10.278   9.630    -0.20   -0.23       NaN  NaN   \n",
       "105      DCEP  0.6975   7.034   6.667   6.531     0.06    0.03       NaN  NaN   \n",
       "106     DCEPS  0.7360   6.492   6.139   5.969     0.08    0.05       NaN  NaN   \n",
       "107      DCEP  0.6512   9.429   9.054   8.848     0.04    0.01       NaN  NaN   \n",
       "108      DCEP  0.8073   6.967   6.620   6.468     0.04    0.01       NaN  NaN   \n",
       "109      DCEP  1.0369   6.210   5.804   5.630     0.10    0.07       NaN  NaN   \n",
       "110      DCEP  0.8593   8.400   7.896   7.703     0.05    0.02       NaN  NaN   \n",
       "111      DCEP  0.7947   6.641   6.097   5.873    -0.06    0.00       NaN  NaN   \n",
       "112      DCEP  0.5933   9.010   8.510   8.327     0.03    0.00       NaN  NaN   \n",
       "113      DCEP  0.7357   7.400   6.983   6.801    -0.03    0.03       NaN  NaN   \n",
       "114      DCEP  0.6988   8.195   7.671   7.420     0.06    0.03       NaN  NaN   \n",
       "115      DCEP  0.6880   8.590   8.126   7.900     0.02   -0.01       NaN  NaN   \n",
       "116      DCEP  0.6613   9.404   8.890   8.673     0.11    0.08       NaN  NaN   \n",
       "117      DCEP  0.9918   7.526   7.067   6.887     0.10    0.16       NaN  NaN   \n",
       "118      DCEP  0.6312   8.854   8.220   7.977    -0.02   -0.05       NaN  NaN   \n",
       "119      DCEP  0.6021  10.246   9.679   9.483    -0.06   -0.09       NaN  NaN   \n",
       "120      DCEP  0.7532   8.622   8.124   7.855     0.07    0.04       NaN  NaN   \n",
       "121      DCEP  0.7991   6.769   6.225   5.968     0.18    0.15       NaN  NaN   \n",
       "122      DCEP  0.8921   7.631   7.090   6.860     0.13    0.10       NaN  NaN   \n",
       "123      DCEP  1.1786   7.331   6.686   6.385     0.17    0.23       NaN  NaN   \n",
       "124      DCEP  1.1577   7.861   7.174   6.903     0.06    0.12       NaN  NaN   \n",
       "125      DCEP  0.8007   5.912   5.424   5.194     0.07    0.13       NaN  NaN   \n",
       "126      DCEP  1.6533   4.547   4.063   3.868     0.05    0.11       NaN  NaN   \n",
       "127      DCEP  0.8931   7.251   6.799   6.577     0.21    0.18       NaN  NaN   \n",
       "128      DCEP  1.0667   8.190   7.667   7.460     0.28    0.25       NaN  NaN   \n",
       "129      DCEP  0.8427   9.534   8.849   8.562     0.23    0.20       NaN  NaN   \n",
       "130      DCEP  0.5850   5.629   5.390   5.268    -0.03    0.03       NaN  NaN   \n",
       "131      DCEP  0.6323  10.112   9.687   9.483    -0.06   -0.09       NaN  NaN   \n",
       "132      DCEP  0.7621   8.756   8.225   7.985     0.27    0.24       NaN  NaN   \n",
       "133       CEP  1.1758  10.177   9.679   9.456    -0.20   -0.23       NaN  NaN   \n",
       "134     DCEPS  0.7460   8.963   8.654   8.511    -0.09   -0.03       NaN  NaN   \n",
       "135      DCEP  0.7749   6.688   6.206   5.984     0.09    0.15       NaN  NaN   \n",
       "136       CEP  0.6935   9.503   8.918   8.673     0.12    0.09       NaN  NaN   \n",
       "137      DCEP  1.2323   6.347   5.842   5.647     0.15    0.12       NaN  NaN   \n",
       "138      DCEP  0.7942  10.065   9.530   9.316     0.15    0.12       NaN  NaN   \n",
       "139      DCEP  0.6400   7.799   7.411   7.247     0.02    0.08       NaN  NaN   \n",
       "140       CEP  0.6941   8.978   8.257   8.012     0.23    0.20       NaN  NaN   \n",
       "141      DCEP  1.0061   6.758   6.147   5.864     0.19    0.25       NaN  NaN   \n",
       "142      DCEP  1.1793   6.517   5.957   5.709     0.09    0.15       NaN  NaN   \n",
       "143       CEP  0.5277  11.173  10.633  10.481     0.05    0.02       NaN  NaN   \n",
       "144       CEP  0.6925   7.457   7.094   6.964    -0.10   -0.04       NaN  NaN   \n",
       "145      DCEP  1.1676   5.326   4.630   4.307     0.20    0.26       NaN  NaN   \n",
       "146      DCEP  0.7039   9.802   9.271   9.046     0.17    0.14       NaN  NaN   \n",
       "147      DCEP  0.8604   7.600   7.071   6.847     0.09    0.06       NaN  NaN   \n",
       "148      DCEP  0.7075   7.647   7.011   6.702     0.18    0.15       NaN  NaN   \n",
       "149      DCEP  0.6074   8.229   7.755   7.590     0.08    0.05       NaN  NaN   \n",
       "150      DCEP  1.2519   7.335   6.724   6.476    -0.01    0.05       NaN  NaN   \n",
       "151       CEP  0.5761   9.370   8.783   8.632     0.18    0.15       NaN  NaN   \n",
       "152      DCEP  0.3251   5.907   5.593   5.454     0.05    0.11       NaN  NaN   \n",
       "153       CEP  0.4082  10.970  10.558  10.390    -0.57   -0.26       NaN  NaN   \n",
       "154      DCEP  0.6289   7.533   7.178   6.967    -0.20   -0.06       NaN  NaN   \n",
       "155      DCEP  0.6701   6.363   6.042   5.874     0.00    0.14       NaN  NaN   \n",
       "156      DCEP  0.9039   7.577   7.066   6.849    -0.03   -0.06       NaN  NaN   \n",
       "157      DCEP  0.5384  11.314  10.802  10.638    -0.46   -0.49       NaN  NaN   \n",
       "158      DCEP  0.6529  10.513   9.976   9.743    -0.14   -0.17       NaN  NaN   \n",
       "159      DCEP  0.5169  10.425   9.939   9.733    -0.11   -0.14       NaN  NaN   \n",
       "160      DCEP  0.6821  10.866  10.309  10.094    -0.52   -0.55       NaN  NaN   \n",
       "161       CEP  0.4431   9.713   9.258   9.071     0.01   -0.02       NaN  NaN   \n",
       "162     DCEPS  0.4273   7.314   7.075   6.962    -0.17   -0.20       NaN  NaN   \n",
       "163       CEP  0.4963  10.968  10.533  10.302    -0.06   -0.09       NaN  NaN   \n",
       "164     DCEPS  0.3799   8.175   7.958   7.897    -0.33   -0.19       NaN  NaN   \n",
       "165      DCEP  0.9353   7.068   6.650   6.503     0.11    0.25       NaN  NaN   \n",
       "166      DCEP  0.6911   9.705   9.294   9.114    -0.19   -0.22       NaN  NaN   \n",
       "167      DCEP  0.6971   9.481   8.932   8.694    -0.01   -0.04       NaN  NaN   \n",
       "168     DCEPS  0.3227   6.691   6.360   6.254     0.04    0.12       NaN  NaN   \n",
       "169     DCEPS  0.4981   4.779   4.422   4.298     0.07    0.15       NaN  NaN   \n",
       "170      DCEP  0.5582   9.196   8.648   8.405    -0.17   -0.03       NaN  NaN   \n",
       "171      DCEP  0.4838   9.929   9.491   9.283    -0.22   -0.08       NaN  NaN   \n",
       "172    CEP(B)  0.2514   6.314   6.004   5.873    -0.01   -0.04       NaN  NaN   \n",
       "173      DCEP  0.6559   5.976   5.591   5.438     0.20    0.17       NaN  NaN   \n",
       "174      DCEP  0.7040   5.347   5.012   4.883     0.10    0.16       NaN  NaN   \n",
       "175      DCEP  0.7122   5.641   5.279   5.133     0.18    0.24       NaN  NaN   \n",
       "176      DCEP  0.8220   5.044   4.653   4.500     0.08    0.14       NaN  NaN   \n",
       "177      DCEP  0.8290   4.506   4.100   3.912     0.08    0.14       NaN  NaN   \n",
       "178    CEP(B)  0.6848   7.173   6.697   6.562     0.09    0.08       NaN  NaN   \n",
       "179      DCEP  1.0146   6.460   5.894   5.627     0.23    0.20       NaN  NaN   \n",
       "180     DCEPS  1.2336   3.374   2.882   2.673     0.06    0.12       NaN  NaN   \n",
       "181     DCEPS  0.7305   6.133   5.813   5.663     0.01    0.07       NaN  NaN   \n",
       "182     DCEPS  0.8330   5.564   5.136   4.966     0.05    0.11       NaN  NaN   \n",
       "183      DCEP  0.5930   8.300   7.818   7.558     0.15    0.12       NaN  NaN   \n",
       "184      DCEP  1.0435   7.232   6.633   6.365     0.37    0.34       NaN  NaN   \n",
       "185      DCEP  0.4753   8.464   8.001   7.817     0.03    0.00       NaN  NaN   \n",
       "186      DCEP  1.1384   4.634   4.174   3.998     0.22    0.19       NaN  NaN   \n",
       "187      DCEP  1.2340   5.836   5.337   5.121     0.18    0.24       NaN  NaN   \n",
       "188     DCEPS  0.9769   5.940   5.485   5.291    -0.06   -0.09       NaN  NaN   \n",
       "189      DCEP  0.7909   8.333   7.936   7.851     0.08    0.14       NaN  NaN   \n",
       "190       CEP  0.6244   9.609   9.174   8.981     0.50    0.47       NaN  NaN   \n",
       "191      DCEP  0.8596   6.960   6.447   6.206     0.03    0.09       NaN  NaN   \n",
       "192      DCEP  0.7863   5.657   5.210   5.007     0.24    0.21       NaN  NaN   \n",
       "193      DCEP  1.1284   7.367   6.764   6.515     0.39    0.36       NaN  NaN   \n",
       "194      DCEP  0.8755   8.076   7.675   7.538     0.26    0.23       NaN  NaN   \n",
       "195     DCEPS  0.6504   4.030   3.741   3.525     0.04    0.10       NaN  NaN   \n",
       "196      DCEP  0.4894   7.181   6.809   6.660     0.12    0.09       NaN  NaN   \n",
       "197      DCEP  1.1963   7.176   6.745   6.566     0.20    0.17       NaN  NaN   \n",
       "198      DCEP  1.0946   6.915   6.419   6.227     0.07    0.04       NaN  NaN   \n",
       "199     DCEPS  0.3145   6.857   6.533   6.404    -0.08    0.06       NaN  NaN   \n",
       "200      DCEP  0.7438   7.248   6.887   6.821     0.13    0.10       NaN  NaN   \n",
       "201      DCEP  0.4588   8.352   7.953   7.808    -0.17   -0.18       NaN  NaN   \n",
       "202      DCEP  0.9638   7.239   6.814   6.663     0.09    0.06       NaN  NaN   \n",
       "203      DCEP  0.7164   7.646   7.257   7.110     0.13    0.10       NaN  NaN   \n",
       "204      DCEP  0.9898   7.138   6.757   6.618    -0.30   -0.16       NaN  NaN   \n",
       "205  DCEPS(B)  0.6190   8.126   7.698   7.528    -0.07   -0.08       NaN  NaN   \n",
       "206      DCEP  0.7280   7.356   6.947   6.760     0.09    0.06       NaN  NaN   \n",
       "207      DCEP  1.2592   6.432   5.985   5.800     0.00   -0.03       NaN  NaN   \n",
       "208      DCEP  0.8571   7.197   6.763   6.555     0.14    0.11       NaN  NaN   \n",
       "209      DCEP  0.6931   8.345   7.848   7.704     0.21    0.18       NaN  NaN   \n",
       "210      DCEP  0.8259   5.753   5.402   5.274    -0.06    0.08       NaN  NaN   \n",
       "211       CEP  0.7263   7.686   7.264   7.067     0.15    0.12       NaN  NaN   \n",
       "212      DCEP  0.7712   8.771   8.246   8.011     0.12    0.09       NaN  NaN   \n",
       "213      DCEP  0.8533   7.589   7.096   6.867     0.14    0.11       NaN  NaN   \n",
       "214      DCEP  0.3947   8.820   8.496   8.386     0.16    0.13       NaN  NaN   \n",
       "215      DCEP  1.1217   8.365   7.733   7.553     0.07    0.04       NaN  NaN   \n",
       "216      DCEP  0.8098   8.509   7.961   7.719     0.02   -0.01       NaN  NaN   \n",
       "217      DCEP  1.0492   6.583   6.035   5.811    -0.01    0.13       NaN  NaN   \n",
       "218      DCEP  0.8403   5.410   4.972   4.797    -0.10    0.04       NaN  NaN   \n",
       "219      DCEP  0.7678   7.244   6.734   6.538    -0.14    0.00       NaN  NaN   \n",
       "220      DCEP  0.9800   6.500   6.133   5.991    -0.18   -0.04       NaN  NaN   \n",
       "221      DCEP  1.0658   7.469   7.004   6.818     0.11    0.19       NaN  NaN   \n",
       "222    CEP(B)  0.5016   8.339   7.947   7.772     0.07    0.06       NaN  NaN   \n",
       "223    CEP(B)  0.5230   7.335   6.957   6.767    -0.19   -0.20       NaN  NaN   \n",
       "224     DCEPS  0.5066   7.222   6.944   6.831     0.09    0.06       NaN  NaN   \n",
       "225      DCEP  0.7251   6.808   6.431   6.249     0.08    0.05       NaN  NaN   \n",
       "226     DCEPS  0.6018   7.922   7.539   7.369     0.22    0.19       NaN  NaN   \n",
       "227      DCEP  1.0857   8.713   8.117   7.955     0.24    0.21       NaN  NaN   \n",
       "228      DCEP  0.8770   6.309   5.924   5.779     0.14    0.11       NaN  NaN   \n",
       "229     DCEPS  0.7578   7.188   6.872   6.668     0.22    0.19       NaN  NaN   \n",
       "230      DCEP  1.0301   7.470   7.012   6.835     0.11    0.08       NaN  NaN   \n",
       "231      DCEP  0.6300   7.949   7.565   7.430     0.11    0.08       NaN  NaN   \n",
       "232      DCEP  1.2214   6.251   5.759   5.572     0.19    0.16       NaN  NaN   \n",
       "233      DCEP  0.6697   9.160   8.729   8.563     0.07    0.04       NaN  NaN   \n",
       "234      DCEP  1.5885   4.133   3.683   3.510     0.17    0.25       NaN  NaN   \n",
       "235      DCEP  0.6699   7.723   7.338   7.186     0.00   -0.03       NaN  NaN   \n",
       "236      DCEP  0.8875   5.360   5.020   4.899     0.15    0.12       NaN  NaN   \n",
       "237      DCEP  1.1290   8.350   7.797   7.502     0.31    0.28       NaN  NaN   \n",
       "238      DCEP  1.2785   5.404   4.958   4.792    -0.06    0.08       NaN  NaN   \n",
       "239      DCEP  1.1491   6.370   5.944   5.769     0.12    0.09       NaN  NaN   \n",
       "240   DCEP(B)  0.5611   6.802   6.573   6.477    -0.05   -0.06       NaN  NaN   \n",
       "241      DCEP  0.5661   6.992   6.728   6.620    -0.10    0.04       NaN  NaN   \n",
       "242      DCEP  0.8441   8.246   7.767   7.574     0.11    0.08       NaN  NaN   \n",
       "243      DCEP  1.4493   5.638   5.136   4.920    -0.05    0.09       NaN  NaN   \n",
       "244      DCEP  0.7707   7.914   7.602   7.494    -0.20   -0.23       NaN  NaN   \n",
       "245     DCEPS  0.7555   4.333   4.050   3.950    -0.25   -0.11       NaN  NaN   \n",
       "246    CEP(B)  0.4138   6.773   6.478   6.366    -0.15   -0.01       NaN  NaN   \n",
       "247     DCEPS  0.6260   4.568   4.327   4.235    -0.05    0.09       NaN  NaN   \n",
       "248      DCEP  0.6665   6.170   5.782   5.632    -0.02    0.12       NaN  NaN   \n",
       "249      DCEP  1.3096   4.919   4.474   4.298     0.05    0.19       NaN  NaN   \n",
       "250      DCEP  1.1921   9.149   8.445   8.261    -0.02   -0.05       NaN  NaN   \n",
       "251      DCEP  0.8238   6.400   6.054   5.930    -0.22   -0.08       NaN  NaN   \n",
       "252      DCEP  1.6169   4.365   3.828   3.619     0.07    0.21       NaN  NaN   \n",
       "253     DCEPS  0.4950   7.221   6.806   6.605    -0.06    0.00       NaN  NaN   \n",
       "254      DCEP  0.9512   7.134   6.721   6.572    -0.15   -0.01       NaN  NaN   \n",
       "255      DCEP  1.1333   7.723   7.341   7.144    -0.20   -0.06       NaN  NaN   \n",
       "256     DCEPS  0.6866   7.124   6.819   6.675     0.09    0.06       NaN  NaN   \n",
       "257      DCEP  0.8010   5.021   4.696   4.581     0.21    0.18       NaN  NaN   \n",
       "258     DCEPS  0.3852   6.307   6.020   5.880     0.31    0.28       NaN  NaN   \n",
       "259      DCEP  0.5301   5.257   4.946   4.831     0.19    0.16       NaN  NaN   \n",
       "260    CEP(B)  0.4097   6.542   6.351   6.286    -0.15   -0.16       NaN  NaN   \n",
       "261      DCEP  0.9892   4.674   4.288   4.149     0.02    0.10       NaN  NaN   \n",
       "262      DCEP  0.4864   5.582   5.236   5.093     0.17    0.14       NaN  NaN   \n",
       "263      DCEP  0.8757   4.904   4.577   4.465    -0.08   -0.11       NaN  NaN   \n",
       "264      DCEP  0.9850   4.500   4.139   4.005     0.13    0.21       NaN  NaN   \n",
       "265      DCEP  0.7499   5.177   4.907   4.651     0.09    0.06       NaN  NaN   \n",
       "266     DCEPS  0.8102   6.328   5.909   5.743     0.08    0.05       NaN  NaN   \n",
       "267       CEP  0.7058   6.143   5.822   5.703     0.02   -0.01       NaN  NaN   \n",
       "268      DCEP  1.0396   5.937   5.544   5.396     0.04    0.12       NaN  NaN   \n",
       "269      DCEP  0.7221   4.299   3.879   3.780    -0.01   -0.04       NaN  NaN   \n",
       "270       CEP  0.3799   5.918   5.612   5.483     0.02   -0.01       NaN  NaN   \n",
       "271      DCEP  0.8492   4.951   4.573   4.432     0.14    0.11       NaN  NaN   \n",
       "272      DCEP  0.7399   5.019   4.642   4.498     0.04    0.12       NaN  NaN   \n",
       "273     DCEPS  0.5289   5.729   5.425   5.295     0.21    0.18       NaN  NaN   \n",
       "274      DCEP  0.7826   5.081   4.694   4.543     0.11    0.08       NaN  NaN   \n",
       "275      DCEP  0.7214   6.805   6.261   6.051     0.19    0.16       NaN  NaN   \n",
       "276      DCEP  0.8282   4.941   4.541   4.407     0.14    0.11       NaN  NaN   \n",
       "277      DCEP  0.6458   7.424   6.977   6.784     0.09    0.06       NaN  NaN   \n",
       "278      DCEP  0.8060   8.198   7.661   7.387     0.11    0.08       NaN  NaN   \n",
       "279     DCEPS  0.5241   4.237   3.975   3.878    -0.08   -0.11       NaN  NaN   \n",
       "280      DCEP  0.5840   6.674   6.353   6.230     0.08    0.05       NaN  NaN   \n",
       "281      DCEP  0.7938   6.521   6.125   5.935     0.15    0.12       NaN  NaN   \n",
       "282      DCEP  0.6712   5.086   4.755   4.632     0.11    0.08       NaN  NaN   \n",
       "\n",
       "       Mod  e_Mod   Rgal  e_Rgal Notes   Ref        _RA       _DE  Separation  \\\n",
       "0    12.02   0.05   9788     445    a   LEM   110.50992 -14.31819    0.063587   \n",
       "1    13.76   0.05  13059     457    b+  LEM   102.63475   0.00700    0.062754   \n",
       "2    12.42   0.05  10714     452    a   LEM   101.78917   3.96710    0.014142   \n",
       "3    11.28   0.05   9609     452    a   LEM   100.02326   7.60583    0.021099   \n",
       "4    12.96   0.05  11701     458    a   LEM    91.85611  11.15198    0.014358   \n",
       "5    12.78   0.09  11407     473    c*  LIII   98.47755  14.47139    0.048371   \n",
       "6    12.24   0.05  10662     455    a   LEM   100.78130  20.93912    0.051373   \n",
       "7    10.65   0.05   6590     453    b   LII   267.15626 -30.47596    0.029315   \n",
       "8    11.10   0.05   6326     453    a   LII   274.24882 -19.07582    0.041201   \n",
       "9    10.55   0.07   6706     453    c   LII   276.18543 -16.79718    0.042759   \n",
       "10   12.08   0.05   5733     445    a   LIII  280.73864  -5.82090    0.044910   \n",
       "11   12.83   0.05   9930     428    b   LEM   121.58948 -30.09689    0.074630   \n",
       "12   13.29   0.05  10610     423    b   ROM   119.74675 -29.30788    0.074705   \n",
       "13   12.29   0.05   9472     436    b   LEM   119.59205 -29.13009    0.087846   \n",
       "14   13.35   0.05  10867     425    b   LEM   114.64683 -28.49961    0.048402   \n",
       "15   14.55   0.07  13554     436    c   LEM   119.42567 -27.60192    0.121886   \n",
       "16   12.95   0.05  10430     433    b+  LEM   111.16917 -26.18853    0.200995   \n",
       "17   14.37   0.05  13357     423    b+  G13   111.82871 -25.78536    0.087659   \n",
       "18   14.12   0.05  12763     426    b+  LII   112.51062 -23.67400    0.076334   \n",
       "19   12.58   0.07  10175     443    c   LII   112.95454 -20.14967    0.055572   \n",
       "20   12.82   0.05  10382     436    b+  LII   115.47871 -21.13307    0.058366   \n",
       "21   11.59   0.05   6286     446    b+  LIII  238.67838 -54.56643    0.044000   \n",
       "22   11.53   0.05   6283     447    b   G13   242.83525 -54.35410    0.127278   \n",
       "23   12.99   0.05   4657     427    b+  PED   251.32964 -51.34261    0.114270   \n",
       "24   11.67   0.05   5948     451    b   ROM   252.91062 -45.42669    0.066694   \n",
       "25    9.56   0.05   8731     452    a   LIII   71.94299  36.72280    0.072850   \n",
       "26   12.89   0.05  11668     459    a   LEM    78.84158  40.07803    0.054704   \n",
       "27   13.32   0.07  12513     473    c   LIII   86.05833  37.58686    0.032778   \n",
       "28   13.08   0.05  12037     461    a   LIII   85.62192  37.64636    0.098610   \n",
       "29   14.40   0.07  15355     502    c   LIII   84.11150  44.59136    0.060614   \n",
       "30   14.13   0.06  14506     490    c   LIII   72.85354  38.18856    0.035858   \n",
       "31   14.02   0.06  14192     486    c   LIII   73.82546  39.97972    0.056501   \n",
       "32   10.99   0.05   9480     453    a   LIII   75.34662  39.96040    0.067896   \n",
       "33   12.72   0.05  11355     458    a   LIII   74.92308  40.83604    0.048228   \n",
       "34   13.67   0.06  13198     475    c   LIII   70.99117  40.83478    0.009260   \n",
       "35   11.83   0.05  10177     454    a   LIII   72.44976  42.28972    0.056477   \n",
       "36   13.49   0.05  12755     463    a   LIII   74.41698  46.09254    0.068603   \n",
       "37   12.44   0.05  10851     455    a   LIII   64.27525  41.73183    0.079728   \n",
       "38   11.90   0.05  10207     453    a   LEM    77.66760  49.68762    0.081742   \n",
       "39   10.70   0.05   9199     452    a   LIII   64.94524  48.95327    0.033141   \n",
       "40   13.70   0.06  13026     469    c   LIII   67.57796  53.94019    0.095266   \n",
       "41    8.93   0.13   8486     453    c   LIII   76.63185  55.35353    0.079853   \n",
       "42    9.76   0.25   8398     453    c*  LII     6.58104  51.28036    0.059137   \n",
       "43   11.33   0.05   8942     445    a   LII     3.61768  56.25293    0.046795   \n",
       "44   11.53   0.05   9068     444    a   LII     3.79088  58.42429    0.038821   \n",
       "45   15.34   0.07  17296     498    c   LIII   14.33350  55.43883    0.040283   \n",
       "46   15.27   0.12  16839     693    c*  LIII   10.09667  58.61853    0.063276   \n",
       "47   11.51   0.05   9178     445    a   LIII   12.47194  60.12739    0.052001   \n",
       "48   11.03   0.05   8859     447    a   LII     7.49412  60.21196    0.042228   \n",
       "49   11.23   0.09   8950     447    c*  LII     6.64980  60.79818    0.035373   \n",
       "50   12.26   0.07   9557     440    c   LIII    0.24687  60.95895    0.224896   \n",
       "51   15.02   0.06  15552     459    c   LIII    4.26042  60.80281    0.026458   \n",
       "52   12.77   0.06  10142     436    c   LIII    3.51350  60.98625    0.129280   \n",
       "53   12.86   0.07  10202     435    c   LIII    0.67412  61.86108    0.133263   \n",
       "54   12.51   0.07   9892     439    c   LIII    5.01279  63.17978    0.036027   \n",
       "55   12.92   0.07  10460     440    c   LIII    9.18550  62.27425    0.104729   \n",
       "56   12.79   0.07  10269     440    c   LIII    8.31732  62.90722    0.290238   \n",
       "57   12.54   0.06  10509     449    c   LIII   38.46904  57.02754    0.161957   \n",
       "58   11.82   0.06   9737     449    c   LIII   38.63038  58.83168    0.233844   \n",
       "59   11.50   0.06   9457     449    c   LIII   36.89765  58.91722    0.322542   \n",
       "60   12.61   0.10  10557     457    c*  LIII   36.80736  59.46060    0.008983   \n",
       "61   12.56   0.06  10675     451    c   LIII   50.94954  59.35564    0.116013   \n",
       "62   13.59   0.07  12444     460    c   LIII   52.35821  60.44644    0.096853   \n",
       "63   11.97   0.07   9873     449    c   LII    41.18047  61.46470    0.011127   \n",
       "64   13.77   0.06  12609     454    c   LIII   41.46458  63.30458    0.070984   \n",
       "65    9.69   0.05   8668     451    a   LIII   61.24358  58.65978    0.024161   \n",
       "66   13.03   0.23  11487     587    c   LIII   61.53742  58.80875    0.107573   \n",
       "67   11.21   0.05   9414     451    a   LIII   58.59070  58.65332    0.034188   \n",
       "68   10.82   0.06   9152     451    c   LIII   57.10700  59.44225    0.078808   \n",
       "69   13.28   0.07  11785     456    c   LIII   54.08396  62.28719    0.134028   \n",
       "70   14.38   0.07  14135     465    c   LIII   31.25912  57.14292    0.056996   \n",
       "71   12.49   0.05  10260     443    a   LIII   27.77928  59.88820    0.080286   \n",
       "72   15.16   0.07  16998     499    c   LIII   26.76129  59.60625    0.045159   \n",
       "73   13.39   0.07  11736     450    c   LIII   33.28130  58.07997    0.221175   \n",
       "74   11.84   0.05   9678     447    a   LIII   31.95200  58.44353    0.013847   \n",
       "75   13.42   0.07  11773     449    c   LIII   32.69317  59.25364    0.210276   \n",
       "76   12.21   0.05   9914     444    a   LII    24.30842  57.75921    0.032597   \n",
       "77   12.01   0.07   9637     445    c   LIII   19.00500  61.62069    0.063337   \n",
       "78   11.61   0.12   9420     453    c*  LIII   26.79967  61.42249    0.029864   \n",
       "79    9.83   0.29   8533     458    c*  LII    23.18011  63.59381    0.026283   \n",
       "80   11.90   0.07   9602     446    c   LIII   24.74997  64.98927    0.126091   \n",
       "81   12.06   0.07   9849     447    c   LIII   32.62152  63.29753    0.030439   \n",
       "82   13.43   0.06  11725     447    c   LIII   33.60319  65.59946    0.073570   \n",
       "83   12.75   0.06  10408     442    c   LIII   18.17152  61.21335    0.029421   \n",
       "84   12.45   0.07   9945     441    c   LIII   11.62463  63.54330    0.172453   \n",
       "85   11.72   0.07   9392     446    c   LIII   18.75455  65.59940    0.019028   \n",
       "86   14.20   0.07   6867     292    c   LIII  313.52029   8.55153    0.094737   \n",
       "87   12.82   0.07   6573     403    c   LIII  300.29091  15.80352    0.069316   \n",
       "88    9.11   0.05   7582     451    b   LII   299.00527  16.63480    0.129595   \n",
       "89    9.06   0.05   7597     451    a   LIII  294.15720  20.33294    0.033360   \n",
       "90    8.80   0.18   7827     451    c*  LII   316.62602  31.18466    0.101976   \n",
       "91    8.66   0.05   7793     451    b   LII   312.86766  28.25051    0.111247   \n",
       "92   10.04   0.05   7772     448    b   LII   310.85080  35.58780    0.134664   \n",
       "93   11.45   0.05   7937     438    a   LII   316.06932  39.97225    0.075537   \n",
       "94   12.19   0.05   8037     426    a   LII   314.33679  40.17751    0.086726   \n",
       "95   11.23   0.05   8174     441    a   LII   327.92267  43.13404    0.079366   \n",
       "96   11.11   0.05   8191     443    a   LIII  330.10477  43.44537    0.071086   \n",
       "97    9.00   0.13   7895     450    c*  LII   319.84242  38.23748    0.057841   \n",
       "98    9.93   0.05   7923     448    a   LII   318.66848  41.71635    0.054814   \n",
       "99   10.85   0.10   8049     444    c*  LII   320.13708  45.46750    0.054790   \n",
       "100  11.58   0.05   8500     439    a   LIII  332.26208  51.04585    0.043481   \n",
       "101  12.46   0.27   8874     459    c*  LIII  327.39802  52.39522    0.049342   \n",
       "102  12.95   0.06  10239     432    c   LIII  359.11117  58.02688    0.074067   \n",
       "103  11.99   0.05   9288     440    a   LII   358.02931  58.74172    0.064675   \n",
       "104  14.64   0.07  13114     413    c   LIII  343.65712  54.26550    0.223404   \n",
       "105  11.08   0.05   8552     444    a   LIII  342.15832  56.32154    0.065251   \n",
       "106  11.40   0.05   8676     442    a   LIII  342.26325  56.42820    0.046065   \n",
       "107  13.20   0.07   9834     415    c   LIII  335.31996  54.53203    0.056064   \n",
       "108  11.40   0.05   8647     442    a   LIII  340.36053  56.43279    0.091532   \n",
       "109  11.27   0.05   8603     443    a   LIII  340.21727  56.82947    0.073529   \n",
       "110  12.66   0.05   9420     426    a   LIII  337.20869  58.21095    0.068659   \n",
       "111  10.57   0.05   8424     447    a   LII   341.60321  59.44220    0.076463   \n",
       "112  12.40   0.06   9355     433    c   LIII  345.33808  57.86703    0.148059   \n",
       "113  11.42   0.05   8774     443    a   LII   346.79200  58.55420    0.043833   \n",
       "114  11.79   0.07   9103     442    c   LIII  354.70164  59.39183    0.044872   \n",
       "115  12.29   0.05   9579     437    a   LIII  359.57492  61.22106    0.086946   \n",
       "116  12.95   0.07  10270     433    c   LIII  358.60236  62.14947    0.032708   \n",
       "117  12.33   0.05   9623     437    a   LII   359.39567  62.71825    0.046323   \n",
       "118  12.04   0.07   9076     437    c   LIII  342.09617  60.40472    0.157954   \n",
       "119  13.53   0.07  10959     425    c   LIII  351.49367  61.26686    0.125143   \n",
       "120  12.42   0.07   9621     437    c   LIII  354.86362  62.37219    0.239034   \n",
       "121  10.66   0.05   8589     447    a   LIII  354.31692  62.42899    0.024549   \n",
       "122  11.88   0.05   9216     441    a   LIII  356.26097  63.00385    0.073131   \n",
       "123  12.25   0.05   9405     436    a   LII   350.61848  62.75715    0.036399   \n",
       "124  12.69   0.05   9849     432    a   LII   352.30319  63.37431    0.089680   \n",
       "125   9.95   0.05   7560     449    a   LII   299.36919  26.55647    0.076115   \n",
       "126  11.51   0.05   7284     438    a   LII   297.87878  27.46023    0.096337   \n",
       "127  11.67   0.05   7351     435    a   LIII  299.79499  29.45074    0.071646   \n",
       "128  13.10   0.05   7389     386    a   LIII  299.45423  30.26594    0.199274   \n",
       "129  13.28   0.06   7518     376    c   LIII  300.19317  30.90761    0.113032   \n",
       "130   9.55   0.05   7629     450    a   LII   296.20306  29.26469    0.038804   \n",
       "131  13.73   0.05   7674     339    a   LIII  296.26537  31.33081    0.153093   \n",
       "132  12.57   0.07   7494     412    c   LIII  299.89050  33.74608    0.233489   \n",
       "133  15.47   0.06  11847     314    c   LIII  297.82204  32.67553    0.098184   \n",
       "134  14.03   0.08   7987     321    c*  LII   294.54827  32.48957    0.091894   \n",
       "135  10.66   0.05   7605     445    a   LII   303.09512  32.87162    0.081953   \n",
       "136  12.99   0.07   7559     394    c   LIII  301.33625  32.65889    0.867899   \n",
       "137  11.86   0.05   7513     431    a   LIII  301.11067  34.11227    0.075228   \n",
       "138  14.02   0.06   8468     328    c   LIII  299.44208  35.63608    0.123247   \n",
       "139  11.57   0.05   7638     436    a   LII   302.28233  37.15197    0.070344   \n",
       "140  12.22   0.06   7679     423    c   LIII  304.19787  36.54997    0.104236   \n",
       "141  11.19   0.05   7971     441    a   LII   311.49918  45.30699    0.238963   \n",
       "142  11.67   0.05   8023     435    a   LII   308.22622  46.60127    0.077085   \n",
       "143  14.32   0.07   9314     320    c   LIII  300.89454  39.15964    0.104446   \n",
       "144  11.51   0.07   7746     437    c   LII   297.06444  43.12694    0.082271   \n",
       "145  10.08   0.05   7905     448    a   LII   315.02659  42.59756    0.041613   \n",
       "146  13.45   0.07   9203     390    c   LIII  316.94417  46.73697    0.059459   \n",
       "147  11.77   0.05   8273     435    a   LIII  317.72657  49.14206    0.102365   \n",
       "148  10.99   0.05   7957     443    a   LIII  311.55243  45.47857    0.362877   \n",
       "149  11.74   0.07   8153     435    c   LIII  313.73972  47.53380    0.062330   \n",
       "150  12.64   0.05   9175     423    a   LII   329.46956  56.16391    0.122388   \n",
       "151  12.60   0.07   9321     428    c   LIII  335.91087  57.68078    0.094772   \n",
       "152   9.58   0.09   8169     450    c   LII   329.46636  61.01886    0.099855   \n",
       "153  13.92   0.07  12567     447    c   YON   105.10346 -20.43169    0.034090   \n",
       "154  11.25   0.05   9162     448    a   LEM   110.38691 -16.68722    0.040691   \n",
       "155  10.35   0.05   8796     450    a   LEM   109.15681 -11.48730    0.023786   \n",
       "156  11.94   0.05   9895     448    a   LIII  105.24925  -8.70899    0.041665   \n",
       "157  14.53   0.06  15011     480    c   LIII  103.54767  -7.66436    0.086161   \n",
       "158  13.96   0.05  13226     450    b|  LIII  106.78562  -7.79514    0.042625   \n",
       "159  13.55   0.05  12257     447    b|  LIII  107.65829  -7.12289    0.048689   \n",
       "160  14.41   0.07  14593     477    c   LIII  102.70283  -7.98072    0.054406   \n",
       "161  13.33   0.12  12006     503    c   LIII  101.18292  -3.95250    0.773097   \n",
       "162  11.44   0.08   9591     453    c*  LIII  105.47341  -1.13096    0.058934   \n",
       "163  14.07   0.07  13862     476    c   LIII   97.77267  -2.14681    0.069752   \n",
       "164  12.26   0.10  10553     464    c*  LEM   104.70966   9.62274    0.041783   \n",
       "165  11.81   0.05  10129     453    b   LEM    92.80659   9.61251    0.068071   \n",
       "166  13.59   0.06  13023     474    c   LIII   91.43633  13.24000    0.080576   \n",
       "167  13.05   0.07  11822     464    c   LIII  100.15650  11.72747    0.043634   \n",
       "168  10.30   0.09   9073     454    c*  ROM    86.41887  18.65690    0.061146   \n",
       "169   8.93   0.05   8518     452    b   ROM    69.31158  18.54303    0.109556   \n",
       "170  12.29   0.05  10809     457    a   LEM    86.43712  27.06792    0.122021   \n",
       "171  13.02   0.05  11955     461    a   LEM    86.71175  31.59792    0.068336   \n",
       "172   8.97   0.13   8557     453    c*  LIII   90.11876  35.31217    0.048812   \n",
       "173   9.83   0.05   7021     452    b   LIII  262.70159 -33.60990    0.064318   \n",
       "174   9.49   0.05   7160     452    b   LII   273.26040 -23.11728    0.052143   \n",
       "175   9.73   0.05   7092     452    b   LII   281.32291 -20.64738    0.061332   \n",
       "176   9.44   0.05   7203     452    b   LII   282.74947 -20.29523    0.080404   \n",
       "177   8.85   0.05   7371     452    a   LII   277.97221 -19.12507    0.104202   \n",
       "178  10.99   0.20   6488     468    c*  SZI   275.61278 -10.12477    0.015083   \n",
       "179  11.02   0.05   6510     451    a   LIII  279.51378  -8.36893    0.064395   \n",
       "180   9.70   0.05   7141     452    b   LII   268.16126  -6.14357    0.109620   \n",
       "181  11.11   0.05   6609     450    a   LII   298.08746 -11.36687    0.229615   \n",
       "182  10.68   0.05   6775     450    b   LII   287.08654  -7.43775    0.067570   \n",
       "183  11.60   0.07   6153     450    c   LIII  280.61176  -5.34084    0.057178   \n",
       "184  11.83   0.05   5990     446    a   LIII  280.53298  -4.29349    0.039094   \n",
       "185  11.52   0.07   6344     447    c   LIII  284.35112  -0.73023    0.057055   \n",
       "186   9.94   0.05   7176     451    a   LIII  287.05729   1.29866    0.100404   \n",
       "187  11.33   0.05   6527     447    a   LII   286.16423   1.30616    0.061123   \n",
       "188  11.47   0.05   6520     445    a   LIII  288.19715   3.55741    0.059650   \n",
       "189  12.72   0.07   6329     410    c   LII   299.38759  11.04368    0.073997   \n",
       "190  13.20   0.07   5481     386    c   LIII  288.65879   6.48261    0.395579   \n",
       "191  11.13   0.05   6827     446    a   LII   290.25978   8.51633    0.012686   \n",
       "192   9.76   0.05   7326     450    a   LIII  287.31662  10.55249    0.089784   \n",
       "193  12.28   0.05   6311     428    a   LIII  287.50172  12.53654    0.020897   \n",
       "194  12.66   0.06   5950     418    c   LIII  281.47543  12.33614    0.162569   \n",
       "195   8.71   0.37   7592     455    c*  LII   284.56145  17.36091    0.131328   \n",
       "196  10.50   0.05   7464     447    b   LIII  176.13701 -67.30525    0.101319   \n",
       "197  12.72   0.05   7423     406    b   LIII  164.28840 -65.13475    0.095961   \n",
       "198  11.99   0.05   7402     429    b   LIII  165.56694 -64.26290    0.093131   \n",
       "199  10.42   0.07   7678     447    c*  LEM   150.01539 -66.27624    0.093281   \n",
       "200  11.57   0.07   7589     436    c   LIII  158.01846 -61.78265    0.194024   \n",
       "201  11.53   0.07   7563     437    c   SZI   160.59597 -61.16591    0.109763   \n",
       "202  12.06   0.07   7567     427    c   LIII  159.83471 -61.15244    0.106832   \n",
       "203  11.70   0.07   7583     434    c   LIII  159.07427 -61.01257    0.115235   \n",
       "204  12.14   0.05   7658     425    b   LEM   155.34573 -61.07409    0.108511   \n",
       "205  11.75   0.11   7681     433    c*  SZI   155.08487 -59.37662    0.080773   \n",
       "206  11.36   0.07   7652     439    c   LIII  156.71199 -59.66954    0.099990   \n",
       "207  12.15   0.05   7668     425    b   LIII  157.07020 -59.35019    0.131039   \n",
       "208  11.55   0.07   7791     437    c   LIII  148.85901 -58.42970    0.111225   \n",
       "209  12.14   0.07   7761     426    c   LIII  153.88695 -58.17445    0.114690   \n",
       "210  10.27   0.05   7915     447    b   LEM   127.18206 -60.12257    0.068244   \n",
       "211  11.64   0.07   7891     435    c   LIII  147.17288 -55.51954    0.118676   \n",
       "212  12.63   0.05   8231     414    b   LIII  145.29275 -53.81606    0.100850   \n",
       "213  11.80   0.07   8026     433    c   LIII  144.21444 -53.03280    0.104266   \n",
       "214  12.67   0.12   8421     418    c   LIII  139.31967 -53.08486    0.091652   \n",
       "215  13.30   0.07   8871     393    c   LIII  140.00634 -52.85616    0.170634   \n",
       "216  12.45   0.07   8239     420    c   LIII  143.34883 -52.75586    0.056082   \n",
       "217  11.36   0.05   8054     439    b   LEM   142.92073 -49.65500    0.097440   \n",
       "218  10.52   0.05   8000     446    b|  LEM   137.06562 -51.43628    0.187375   \n",
       "219  11.19   0.07   8158     442    c   LEM   131.23288 -50.56004    0.091036   \n",
       "220  11.49   0.05   8334     439    b   LEM   131.22279 -46.34299    0.129617   \n",
       "221  12.51   0.05   7097     414    b   ROM   178.07385 -65.40418    0.101044   \n",
       "222  11.62   0.16   7268     437    c*  SZI   177.31672 -63.07858    0.115666   \n",
       "223  10.69   0.16   7465     446    c*  SZI   175.24388 -62.69248    0.061198   \n",
       "224  11.55   0.05   7392     437    b   LIII  171.30410 -61.36916    0.113421   \n",
       "225  10.86   0.07   7496     444    c   LIII  171.27398 -60.73462    0.108010   \n",
       "226  12.31   0.13   7140     421    c*  LIII  178.38976 -62.85220    0.128199   \n",
       "227  13.62   0.07   7526     349    c   LIII  175.70090 -58.99340    0.115934   \n",
       "228  10.92   0.05   7517     444    b|  LIII  168.04219 -61.75487    0.110826   \n",
       "229  12.18   0.09   7416     424    c*  LIII  167.68581 -60.75028    0.101473   \n",
       "230  12.41   0.05   7410     417    b   LIII  168.58840 -60.05292    0.072212   \n",
       "231  11.74   0.07   7496     434    c   LIII  164.46114 -60.74209    0.106659   \n",
       "232  11.76   0.05   7463     433    b   LIII  166.05614 -60.97993    0.135120   \n",
       "233  12.96   0.07   7635     396    c   LIII  163.13667 -60.52679    0.130149   \n",
       "234  10.98   0.05   7574     443    b   ROM   164.45078 -59.73219    0.103373   \n",
       "235  11.62   0.07   7551     435    c   LIII  162.89903 -59.38501    0.102083   \n",
       "236  10.12   0.05   7641     448    b|  LIII  167.42143 -58.83773    0.162846   \n",
       "237  13.28   0.07   7845     380    c   LIII  162.75762 -58.59061    0.157478   \n",
       "238  11.22   0.05   7627     441    b   LEM   161.13621 -57.56537    0.103089   \n",
       "239  11.77   0.05   7632     433    b|  LIII  161.23478 -56.28955    0.121344   \n",
       "240  10.69   0.19   7682     445    c*  SZI   158.29521 -58.49864    0.148839   \n",
       "241  10.82   0.05   7698     444    b   LEM   157.29685 -57.61341    0.135754   \n",
       "242  12.51   0.07   7760     415    c   LIII  159.03585 -56.04324    0.143907   \n",
       "243  11.85   0.05   7774     432    b   LEM   155.17097 -55.32140    0.134708   \n",
       "244  12.35   0.05   8706     427    b   LIII  143.46191 -36.61576    0.126262   \n",
       "245   9.54   0.05   8096     450    b|  LEM   114.57587 -48.60144    0.124234   \n",
       "246  10.03   0.05   8120     448    b   LEM   122.70552 -47.69856    0.161389   \n",
       "247   9.41   0.05   8074     450    b|  LEM   122.99987 -46.64435    0.139036   \n",
       "248  10.06   0.05   8084     448    b   LEM   129.42011 -47.36197    0.124417   \n",
       "249  10.83   0.05   8249     445    b   LEM   129.25543 -44.11468    0.118686   \n",
       "250  14.20   0.07  11805     409    c   LIII  119.69308 -38.99439    0.198922   \n",
       "251  10.93   0.05   8484     445    b   LEM   123.09335 -36.94376    0.102490   \n",
       "252  11.09   0.05   8585     444    b   LEM   123.26757 -34.57853    0.090643   \n",
       "253  11.13   0.10   8903     449    c*  LII   111.61769 -25.92679    0.102123   \n",
       "254  11.94   0.05   9351     441    b   LEM   115.49585 -25.87618    0.051036   \n",
       "255  13.12   0.07  10588     434    c   LEM   117.01605 -25.57778    0.056090   \n",
       "256  11.99   0.08   9417     444    c*  LIII  119.24043 -22.82545    0.104012   \n",
       "257   9.53   0.05   7328     451    b   LIII  240.29465 -63.77654    0.047677   \n",
       "258  10.16   0.07   7176     450    c*  LIII  232.70760 -65.59933    0.136267   \n",
       "259   8.87   0.05   7519     451    b   LIII  229.94047 -66.49604    0.150959   \n",
       "260   9.89   0.19   7207     455    c*  SZI   241.82919 -62.91056    0.055063   \n",
       "261   9.67   0.05   7232     451    b   ROM   244.71597 -57.89979    0.056223   \n",
       "262   9.68   0.05   7371     450    b|  LIII  222.62624 -67.49762    0.072851   \n",
       "263   9.66   0.05   7523     450    b|  LIII  190.52094 -69.40756    0.066133   \n",
       "264   9.53   0.05   7576     450    b   ROM   183.19591 -70.15179    0.120242   \n",
       "265   9.38   0.07   7504     451    c   LIII  202.88921 -61.58236    0.103064   \n",
       "266  11.38   0.05   6993     441    b|  LIII  199.74286 -62.38233    0.119192   \n",
       "267  10.33   0.05   7235     449    b|  LIII  207.68454 -57.58050    0.103807   \n",
       "268  11.07   0.05   7015     445    b   ROM   205.07768 -57.61317    0.070595   \n",
       "269   8.41   0.17   7603     452    c   LIII  223.14690 -63.80983    0.142346   \n",
       "270   9.74   0.05   7326     450    b|  LIII  221.67492 -61.46194    0.110591   \n",
       "271   9.48   0.05   7403     451    b|  LIII  219.29986 -62.01090    0.063028   \n",
       "272   9.18   0.05   7459     451    b   ROM   218.13785 -56.88772    0.142483   \n",
       "273  10.07   0.05   6933     452    b|  LIII  264.40651 -40.81354    0.036029   \n",
       "274   9.36   0.05   7210     452    b   LIII  254.58229 -33.60911    0.069107   \n",
       "275  10.51   0.07   7370     447    c   LIII  188.32783 -63.50638    0.136666   \n",
       "276   9.37   0.05   7599     450    b|  LIII  185.33804 -62.28163    0.180694   \n",
       "277  11.07   0.07   7145     444    c   LIII  195.79452 -60.87746    0.063189   \n",
       "278  12.10   0.07   7075     427    c   LIII  183.24861 -62.09682    0.075335   \n",
       "279   8.68   0.05   7678     451    b   LIII  187.91804 -59.42392    0.206532   \n",
       "280  10.44   0.05   7371     447    b   LIII  190.35825 -59.79412    0.388737   \n",
       "281  10.76   0.07   7283     446    c   LIII  191.59278 -59.12476    0.117598   \n",
       "282   9.13   0.05   7593     451    b   LIII  193.59166 -58.43061    0.175273   \n",
       "\n",
       "            main_id        ra_x      dec_x  coo_err_maj  coo_err_min  \\\n",
       "0         V* TW CMa  110.509915 -14.318194        0.000        0.000   \n",
       "1         V* TW Mon  102.634735   0.006996        0.000        0.000   \n",
       "2       V* V508 Mon  101.789166   3.967097        0.000        0.000   \n",
       "3         V* BE Mon  100.023260   7.605830        0.000        0.000   \n",
       "4         V* CS Ori   91.856105  11.151976        0.000        0.000   \n",
       "5         V* DX Gem   98.477542  14.471392        0.000        0.000   \n",
       "6         V* AD Gem  100.781299  20.939112        0.000        0.000   \n",
       "7       V* V500 Sco  267.156253 -30.475961        0.000        0.000   \n",
       "8         V* WZ Sgr  274.248816 -19.075830        0.000        0.000   \n",
       "9         V* XX Sgr  276.185420 -16.797172        0.000        0.000   \n",
       "10         V* Z Sct  280.738641  -5.820903        0.000        0.000   \n",
       "11        V* BN Pup  121.589479 -30.096880        0.000        0.000   \n",
       "12        V* LS Pup  119.746749 -29.307877        0.000        0.000   \n",
       "13        V* AQ Pup  119.592036 -29.130093        0.000        0.000   \n",
       "14        V* VZ Pup  114.646826 -28.499610        0.010        0.008   \n",
       "15        V* HW Pup  119.425699 -27.601900        0.000        0.000   \n",
       "16        V* AO CMa  111.169132 -26.188502        0.000        0.000   \n",
       "17        V* CK Pup  111.828687 -25.785362        0.000        0.000   \n",
       "18        V* BC Pup  112.510636 -23.673990        0.000        0.000   \n",
       "19        V* VW Pup  112.954540 -20.149667        0.000        0.000   \n",
       "20        V* WW Pup  115.478710 -21.133070        0.000        0.000   \n",
       "21        V* SY Nor  238.678383 -54.566433        0.000        0.000   \n",
       "22        V* QZ Nor  242.835276 -54.354118        0.000        0.000   \n",
       "23      V* V340 Ara  251.329635 -51.342609        0.000        0.000   \n",
       "24        V* KQ Sco  252.910614 -45.426696        0.000        0.000   \n",
       "25        V* AW Per   71.942979  36.722787        0.000        0.000   \n",
       "26        V* YZ Aur   78.841595  40.078023        0.000        0.000   \n",
       "27        V* GV Aur   86.058334  37.586871        0.000        0.000   \n",
       "28      V* V335 Aur   85.621910  37.646338        0.000        0.000   \n",
       "29        V* GT Aur   84.111476  44.591363        0.000        0.000   \n",
       "30        V* EW Aur   72.853533  38.188552        0.000        0.000   \n",
       "31        V* FF Aur   73.825478  39.979717        0.000        0.000   \n",
       "32        V* RX Aur   75.346617  39.960395        0.000        0.000   \n",
       "33        V* AN Aur   74.923074  40.836035        0.000        0.000   \n",
       "34        V* HQ Per   70.991170  40.834780        0.000        0.000   \n",
       "35        V* SV Per   72.449734  42.289712        0.000        0.000   \n",
       "36        V* CY Aur   74.417003  46.092531        0.000        0.000   \n",
       "37        V* SX Per   64.275276  41.731838        0.000        0.000   \n",
       "38        V* BK Aur   77.667623  49.687611        0.000        0.000   \n",
       "39        V* AS Per   64.945242  48.953272        0.000        0.000   \n",
       "40      V* V359 Cam   67.577917  53.940178        0.000        0.000   \n",
       "41        V* CK Cam   76.631846  55.353529        0.000        0.000   \n",
       "42        V* TU Cas    6.581035  51.280359        0.000        0.000   \n",
       "43        V* FM Cas    3.617672  56.252937        0.000        0.000   \n",
       "44        V* SY Cas    3.790887  58.424289        0.000        0.000   \n",
       "45        V* HK Cas   14.333529  55.438832        0.000        0.000   \n",
       "46        V* NY Cas   10.096652  58.618522        0.000        0.000   \n",
       "47        V* XY Cas   12.471933  60.127383        0.000        0.000   \n",
       "48        V* DL Cas    7.494119  60.211964        0.000        0.000   \n",
       "49      V* V379 Cas    6.649827  60.798175        0.000        0.000   \n",
       "50        V* CG Cas    0.246827  60.959009        0.000        0.000   \n",
       "51        V* FO Cas    4.260427  60.802806        0.000        0.000   \n",
       "52        V* BF Cas    3.513455  60.986265        0.000        0.000   \n",
       "53        V* EX Cas    0.674073  61.861072        0.000        0.000   \n",
       "54        V* CT Cas    5.012814  63.179793        0.000        0.000   \n",
       "55        V* FW Cas    9.185459  62.274236        0.000        0.000   \n",
       "56        V* AP Cas    8.317493  62.907263        0.000        0.000   \n",
       "57        V* DW Per   38.469029  57.027498        0.000        0.000   \n",
       "58        V* UY Per   38.630417  58.831622        0.000        0.000   \n",
       "59        V* VY Per   36.897760  58.917155        0.000        0.000   \n",
       "60        V* SZ Cas   36.807363  59.460604        0.000        0.000   \n",
       "61        V* AC Cam   50.949514  59.355672        0.000        0.000   \n",
       "62        V* AD Cam   52.358206  60.446464        0.000        0.000   \n",
       "63        V* DF Cas   41.180480  61.464700        0.000        0.000   \n",
       "64        V* LT Cas   41.464550  63.304573        0.000        0.000   \n",
       "65        V* RX Cam   61.243601  58.659783        0.000        0.000   \n",
       "66        V* LO Cam   61.537365  58.808746        0.000        0.000   \n",
       "67        V* RW Cam   58.590719  58.653324        0.000        0.000   \n",
       "68        V* OX Cam   57.106972  59.442271        0.000        0.000   \n",
       "69        V* AM Cam   54.083944  62.287225        0.000        0.000   \n",
       "70        V* CI Per   31.259138  57.142934        0.000        0.000   \n",
       "71        V* VV Cas   27.779257  59.888215        0.000        0.000   \n",
       "72        V* IO Cas   26.761316  59.606258        0.000        0.000   \n",
       "73        V* UX Per   33.281191  58.079951        0.000        0.000   \n",
       "74        V* VX Per   31.952003  58.443539        0.000        0.000   \n",
       "75        V* GL Cas   32.693220  59.253695        0.000        0.000   \n",
       "76        V* RW Cas   24.308414  57.759220        0.000        0.000   \n",
       "77        V* AW Cas   19.005020  61.620709        0.000        0.000   \n",
       "78        V* BY Cas   26.799664  61.422487        0.000        0.000   \n",
       "79      V* V636 Cas   23.180103  63.593805        0.000        0.000   \n",
       "80        V* AY Cas   24.749944  64.989240        0.000        0.000   \n",
       "81      V* V395 Cas   32.621549  63.297531        0.000        0.000   \n",
       "82     V* V1017 Cas   33.603159  65.599447        0.000        0.000   \n",
       "83        V* UZ Cas   18.171522  61.213357        0.000        0.000   \n",
       "84        V* OP Cas   11.624553  63.543276        0.000        0.000   \n",
       "85        V* BP Cas   18.754561  65.599404        0.000        0.000   \n",
       "86        V* EK Del  313.520290   8.551557        0.000        0.000   \n",
       "87        V* KL Aql  300.290911  15.803523        0.000        0.000   \n",
       "88        *  10 Sge  299.005256  16.634788        0.000        0.000   \n",
       "89         V* U Vul  294.157200  20.332936        0.000        0.000   \n",
       "90        V* DT Cyg  316.626018  31.184657        0.000        0.000   \n",
       "91         V* T Vul  312.867659  28.250505        0.000        0.000   \n",
       "92         V* X Cyg  310.850799  35.587799        0.000        0.000   \n",
       "93        V* VY Cyg  316.069319  39.972251        0.000        0.000   \n",
       "94        V* VX Cyg  314.336791  40.177502        0.000        0.000   \n",
       "95        V* VZ Cyg  327.922673  43.134038        0.000        0.000   \n",
       "96        V* BG Lac  330.104779  43.445369        0.000        0.000   \n",
       "97     V* V1334 Cyg  319.842405  38.237463        0.000        0.000   \n",
       "98      V* V386 Cyg  318.668475  41.716346        0.000        0.000   \n",
       "99      V* V532 Cyg  320.137085  45.467505        0.000        0.000   \n",
       "100        V* Y Lac  332.262083  51.045856        0.000        0.000   \n",
       "101    V* V1397 Cyg  327.398026  52.395244        0.000        0.000   \n",
       "102    V* V1206 Cas  359.111181  58.026862        0.000        0.000   \n",
       "103       V* RY Cas  358.029300  58.741724        0.000        0.000   \n",
       "104       V* FQ Lac  343.657070  54.265452        0.000        0.000   \n",
       "105        V* V Lac  342.158315  56.321539        0.000        0.000   \n",
       "106        V* X Lac  342.263253  56.428203        0.000        0.000   \n",
       "107       V* DF Lac  335.319972  54.532056        0.000        0.000   \n",
       "108       V* RR Lac  340.360524  56.432786        0.000        0.000   \n",
       "109        V* Z Lac  340.217273  56.829468        0.000        0.000   \n",
       "110       V* AK Cep  337.208699  58.210944        0.000        0.000   \n",
       "111       V* CR Cep  341.603211  59.442201        0.000        0.000   \n",
       "112     V* V342 Cas  345.338039  57.867027        0.000        0.000   \n",
       "113       V* SW Cas  346.792011  58.554202        0.000        0.000   \n",
       "114       V* DW Cas  354.701646  59.391828        0.000        0.000   \n",
       "115       V* CF Cas  359.574899  61.221062        0.000        0.000   \n",
       "116     V* V407 Cas  358.602400  62.149470        0.000        0.000   \n",
       "117       V* DD Cas  359.395666  62.718246        0.000        0.000   \n",
       "118     V* V911 Cep  342.096206  60.404776        0.000        0.000   \n",
       "119       V* PW Cas  351.493646  61.266837        0.000        0.000   \n",
       "120       V* CZ Cas  354.863724  62.372141        0.000        0.000   \n",
       "121       V* RS Cas  354.316919  62.428992        0.000        0.000   \n",
       "122       V* CD Cas  356.260948  63.003852        0.000        0.000   \n",
       "123       V* CH Cas  350.618495  62.757150        0.000        0.000   \n",
       "124       V* CY Cas  352.303175  63.374302        0.000        0.000   \n",
       "125        V* X Vul  299.369190  26.556467        0.000        0.000   \n",
       "126       V* SV Vul  297.878775  27.460232        0.000        0.000   \n",
       "127       V* GH Cyg  299.794989  29.450745        0.000        0.000   \n",
       "128       V* EZ Cyg  299.454204  30.265914        0.000        0.000   \n",
       "129    V* V1025 Cyg  300.193159  30.907617        0.000        0.000   \n",
       "130       V* SU Cyg  296.203069  29.264693        0.000        0.000   \n",
       "131       V* EP Cyg  296.265364  31.330809        0.000        0.000   \n",
       "132       V* GI Cyg  299.890461  33.746062        0.000        0.000   \n",
       "133       V* EU Cyg  297.822018  32.675545        0.000        0.000   \n",
       "134     V* V924 Cyg  294.548270  32.489569        0.000        0.000   \n",
       "135       V* MW Cyg  303.095124  32.871622        0.000        0.000   \n",
       "136    V* V1033 Cyg  301.336104  32.659113        0.000        0.000   \n",
       "137       V* CD Cyg  301.110672  34.112274        0.000        0.000   \n",
       "138     V* V547 Cyg  299.442086  35.636074        0.000        0.000   \n",
       "139     V* V402 Cyg  302.282333  37.151968        0.000        0.000   \n",
       "140    V* V1046 Cyg  304.197899  36.549961        0.000        0.000   \n",
       "141       V* BZ Cyg  311.499157  45.306957        0.000        0.000   \n",
       "142       V* SZ Cyg  308.226225  46.601273        0.000        0.000   \n",
       "143       V* GL Cyg  300.894588  39.159648        0.000        0.000   \n",
       "144    V* V1154 Cyg  297.064443  43.126933        0.000        0.000   \n",
       "145       V* TX Cyg  315.026587  42.597560        0.000        0.000   \n",
       "146     V* V356 Cyg  316.944167  46.736993        0.000        0.000   \n",
       "147     V* V459 Cyg  317.726554  49.142055        0.000        0.000   \n",
       "148     V* V514 Cyg  311.552293  45.478616        0.000        0.000   \n",
       "149     V* V520 Cyg  313.739712  47.533803        0.000        0.000   \n",
       "150       V* CP Cep  329.469547  56.163900        0.000        0.000   \n",
       "151       V* MU Cep  335.910942  57.680789        0.000        0.000   \n",
       "152       V* IR Cep  329.466356  61.018862        0.000        0.000   \n",
       "153       V* XZ CMa  105.103470 -20.431703        0.000        0.000   \n",
       "154       V* RZ CMa  110.386905 -16.687222        0.000        0.000   \n",
       "155       V* RY CMa  109.156816 -11.487305        0.000        0.000   \n",
       "156       V* AC Mon  105.249250  -8.708991        0.000        0.000   \n",
       "157       V* YY Mon  103.547656  -7.664381        0.000        0.000   \n",
       "158       V* FG Mon  106.785621  -7.795132        0.000        0.000   \n",
       "159       V* FI Mon  107.658302  -7.122906        0.000        0.000   \n",
       "160       V* EE Mon  102.702845  -7.980731        0.000        0.000   \n",
       "161     V* V504 Mon  101.183114  -3.952400        0.000        0.000   \n",
       "162     V* V526 Mon  105.473411  -1.130959        0.000        0.000   \n",
       "163     V* V484 Mon   97.772676  -2.146794        0.000        0.000   \n",
       "164       V* UY Mon  104.709657   9.622733        0.000        0.000   \n",
       "165       V* GQ Ori   92.806596   9.612496        0.000        0.000   \n",
       "166       V* CR Ori   91.436347  13.239988        0.000        0.000   \n",
       "167     V* V911 Mon  100.156512  11.727479        0.000        0.000   \n",
       "168       V* EU Tau   86.418870  18.656895        0.000        0.000   \n",
       "169       V* SZ Tau   69.311575  18.543036        0.000        0.000   \n",
       "170       V* AV Tau   86.437151  27.067905        0.000        0.000   \n",
       "171       V* AX Aur   86.711729  31.597919        0.000        0.000   \n",
       "172       V* CO Aur   90.118777  35.312182        0.000        0.000   \n",
       "173     V* V482 Sco  262.701585 -33.609905        0.000        0.000   \n",
       "174       *  12 Sgr  273.260399 -23.117278        0.000        0.000   \n",
       "175     V* V350 Sgr  281.322901 -20.647381        0.000        0.000   \n",
       "176       V* BB Sgr  282.749471 -20.295230        0.000        0.000   \n",
       "177        V* U Sgr  277.972217 -19.125073        0.000        0.000   \n",
       "178     V* V458 Sct  275.612777 -10.124772        0.000        0.000   \n",
       "179        V* Y Sct  279.513777  -8.368934        0.000        0.000   \n",
       "180        V* Y Oph  268.161259  -6.143576        0.000        0.000   \n",
       "181    V* V1162 Aql  298.087462 -11.366877        0.000        0.000   \n",
       "182     V* V496 Aql  287.086547  -7.437745        0.000        0.000   \n",
       "183       V* CM Sct  280.611754  -5.340846        0.000        0.000   \n",
       "184       V* TY Sct  280.532974  -4.293482        0.000        0.000   \n",
       "185  TYC 5115-227-1  284.351096  -0.730239        0.077        0.062   \n",
       "186       V* TT Aql  287.057290   1.298652        0.000        0.000   \n",
       "187       V* SZ Aql  286.164233   1.306154        0.000        0.000   \n",
       "188       V* FN Aql  288.197146   3.557418        0.000        0.000   \n",
       "189     V* V733 Aql  299.387593  11.043678        0.000        0.000   \n",
       "190     V* V526 Aql  288.658741   6.482553        0.000        0.000   \n",
       "191     V* V600 Aql  290.259773   8.516335        0.000        0.000   \n",
       "192       V* FM Aql  287.316626  10.552489        0.000        0.000   \n",
       "193     V* V916 Aql  287.501732  12.536558        0.000        0.000   \n",
       "194       V* BB Her  281.475431  12.336142        0.000        0.000   \n",
       "195      HD 176155A  284.561447  17.360914        0.001        0.001   \n",
       "196       V* RT Mus  176.137012 -67.305246        0.000        0.000   \n",
       "197       V* XX Car  164.288397 -65.134755        0.000        0.000   \n",
       "198       V* XY Car  165.566933 -64.262907        0.000        0.000   \n",
       "199     V* V397 Car  150.015387 -66.276243        0.000        0.000   \n",
       "200       V* UY Car  158.018424 -61.782628        0.000        0.000   \n",
       "201       V* EY Car  160.595965 -61.165915        0.000        0.000   \n",
       "202       V* HW Car  159.834706 -61.152443        0.000        0.000   \n",
       "203       V* UZ Car  159.074265 -61.012569        0.000        0.000   \n",
       "204       V* AQ Car  155.345732 -61.074093        0.000        0.000   \n",
       "205       V* GZ Car  155.084881 -59.376620        0.000        0.000   \n",
       "206       V* UW Car  156.711999 -59.669548        0.000        0.000   \n",
       "207       V* YZ Car  157.070188 -59.350188        0.000        0.000   \n",
       "208       V* GX Car  148.859000 -58.429700        0.000        0.000   \n",
       "209       V* CN Car  153.886942 -58.174449        0.000        0.000   \n",
       "210        V* V Car  127.182059 -60.122574        0.000        0.000   \n",
       "211       V* FN Vel  147.172874 -55.519542        0.000        0.000   \n",
       "212       V* CS Vel  145.292754 -53.816051        0.000        0.000   \n",
       "213       V* AE Vel  144.214443 -53.032796        0.000        0.000   \n",
       "214       V* DK Vel  139.319662 -53.084863        0.000        0.000   \n",
       "215       V* EX Vel  140.006304 -52.856201        0.000        0.000   \n",
       "216       V* FG Vel  143.348876 -52.755862        0.000        0.000   \n",
       "217       V* DR Vel  142.920729 -49.655005        0.000        0.000   \n",
       "218       V* BG Vel  137.065619 -51.436279        0.000        0.000   \n",
       "219       V* ST Vel  131.232888 -50.560039        0.000        0.000   \n",
       "220       V* SX Vel  131.222787 -46.342981        0.000        0.000   \n",
       "221       V* UU Mus  178.073844 -65.404184        0.000        0.000   \n",
       "222       V* BK Cen  177.316730 -63.078584        0.000        0.000   \n",
       "223       V* UZ Cen  175.243907 -62.692481        0.000        0.000   \n",
       "224       V* AZ Cen  171.304104 -61.369157        0.000        0.000   \n",
       "225       V* AY Cen  171.273980 -60.734621        0.000        0.000   \n",
       "226       V* BB Cen  178.389742 -62.852200        0.000        0.000   \n",
       "227       V* KK Cen  175.700895 -58.993395        0.000        0.000   \n",
       "228       V* IT Car  168.042189 -61.754875        0.000        0.000   \n",
       "229       V* GH Car  167.685813 -60.750282        0.000        0.000   \n",
       "230       V* FR Car  168.588400 -60.052925        0.000        0.000   \n",
       "231       V* CY Car  164.461132 -60.742090        0.000        0.000   \n",
       "232       V* XZ Car  166.056134 -60.979925        0.000        0.000   \n",
       "233       V* DY Car  163.136734 -60.526767        0.000        0.000   \n",
       "234        V* U Car  164.450778 -59.732189        0.000        0.000   \n",
       "235       V* WW Car  162.899032 -59.385004        0.000        0.000   \n",
       "236       V* ER Car  167.421428 -58.837725        0.000        0.000   \n",
       "237       V* FI Car  162.757606 -58.590599        0.000        0.000   \n",
       "238       V* VY Car  161.136212 -57.565368        0.000        0.000   \n",
       "239       V* SV Vel  161.234777 -56.289554        0.000        0.000   \n",
       "240        V* Y Car  158.295213 -58.498633        0.000        0.000   \n",
       "241       V* UX Car  157.296845 -57.613401        0.000        0.000   \n",
       "242       V* XX Vel  159.035842 -56.043241        0.000        0.000   \n",
       "243       V* RY Vel  155.170966 -55.321399        0.000        0.000   \n",
       "244        V* T Ant  143.461915 -36.615762        0.000        0.000   \n",
       "245       * y03 Pup  114.575870 -48.601433        0.000        0.000   \n",
       "246       V* AX Vel  122.705516 -47.698563        0.000        0.000   \n",
       "247       V* AH Vel  122.999863 -46.644349        0.000        0.000   \n",
       "248        V* T Vel  129.420112 -47.361967        0.000        0.000   \n",
       "249       V* RZ Vel  129.255429 -44.114679        0.000        0.000   \n",
       "250       V* NT Pup  119.693082 -38.994349        0.000        0.000   \n",
       "251       V* AT Pup  123.093347 -36.943758        0.000        0.000   \n",
       "252       V* RS Pup  123.267565 -34.578526        0.000        0.000   \n",
       "253       V* VZ CMa  111.617686 -25.926782        0.000        0.000   \n",
       "254       V* WX Pup  115.495849 -25.876181        0.000        0.000   \n",
       "255       V* AD Pup  117.016047 -25.577784        0.000        0.000   \n",
       "256     V* V335 Pup  119.240430 -22.825437        0.000        0.000   \n",
       "257        V* S TrA  240.294650 -63.776537        0.000        0.000   \n",
       "258       V* LR TrA  232.707594 -65.599326        0.000        0.000   \n",
       "259        V* R TrA  229.940468 -66.496039        0.000        0.000   \n",
       "260        V* U TrA  241.829184 -62.910561        0.000        0.000   \n",
       "261        V* S Nor  244.715964 -57.899793        0.000        0.000   \n",
       "262       V* AV Cir  222.626234 -67.497622        0.000        0.000   \n",
       "263        V* R Mus  190.520940 -69.407555        0.000        0.000   \n",
       "264        V* S Mus  183.195914 -70.151788        0.000        0.000   \n",
       "265     V* V659 Cen  202.889210 -61.582365        0.000        0.000   \n",
       "266     V* V378 Cen  199.742848 -62.382335        0.000        0.000   \n",
       "267     V* V381 Cen  207.684536 -57.580502        0.000        0.000   \n",
       "268       V* XX Cen  205.077686 -57.613179        0.000        0.000   \n",
       "269       *  26 Cir  223.146889 -63.809838        0.000        0.000   \n",
       "270       V* BP Cir  221.674917 -61.461942        0.000        0.000   \n",
       "271     V* V737 Cen  219.299866 -62.010901        0.000        0.000   \n",
       "272        V* V Cen  218.137845 -56.887715        0.000        0.000   \n",
       "273     V* V950 Sco  264.406508 -40.813543        0.000        0.000   \n",
       "274    CD-33 11607A  254.582288 -33.609108        0.017        0.017   \n",
       "275       V* VW Cru  188.327786 -63.506364        0.000        0.000   \n",
       "276        V* T Cru  185.338033 -62.281632        0.000        0.000   \n",
       "277     V* V496 Cen  195.794519 -60.877465        0.000        0.000   \n",
       "278       V* AD Cru  183.248615 -62.096826        0.000        0.000   \n",
       "279       *  35 Cru  187.918042 -59.423923        0.000        0.000   \n",
       "280       V* AG Cru  190.358457 -59.794178        0.000        0.000   \n",
       "281        V* X Cru  191.592829 -59.124726        0.000        0.000   \n",
       "282        V* S Cru  193.591655 -58.430615        0.000        0.000   \n",
       "\n",
       "     coo_err_angle  nbref         ra_sexa        dec_sexa       main_type  \\\n",
       "0             90.0     83  07 22 02.37948  -14 19 05.4975        deltaCep   \n",
       "1             90.0     34  06 50 32.33629  +00 00 25.1859         Cepheid   \n",
       "2             90.0     56  06 47 09.39993  +03 58 01.5510        deltaCep   \n",
       "3             90.0     66  06 40 05.58233  +07 36 20.9879        deltaCep   \n",
       "4             90.0     62  06 07 25.46520  +11 09 07.1137        deltaCep   \n",
       "5             90.0     81  06 33 54.61017  +14 28 17.0110        deltaCep   \n",
       "6             90.0     82  06 43 07.51169  +20 56 20.8018        deltaCep   \n",
       "7             90.0    104  17 48 37.50079  -30 28 33.4607        deltaCep   \n",
       "8             90.0    215  18 16 59.71589  -19 04 32.9891        deltaCep   \n",
       "9             90.0     92  18 24 44.50073  -16 47 49.8196         Cepheid   \n",
       "10            90.0    100  18 42 57.27392  -05 49 15.2509        deltaCep   \n",
       "11            90.0     94  08 06 21.47487  -30 05 48.7682        deltaCep   \n",
       "12            90.0     68  07 58 59.21977  -29 18 28.3571         Cepheid   \n",
       "13            90.0    163  07 58 22.08872  -29 07 48.3353        deltaCep   \n",
       "14            90.0    118  07 38 35.23836  -28 29 58.5972        deltaCep   \n",
       "15            90.0     42  07 57 42.16768  -27 36 06.8409        deltaCep   \n",
       "16            90.0     20  07 24 40.59159  -26 11 18.6079        deltaCep   \n",
       "17            90.0     17  07 27 18.88494  -25 47 07.3048         Cepheid   \n",
       "18            90.0     18  07 30 02.55263  -23 40 26.3643        deltaCep   \n",
       "19            90.0     60  07 31 49.08962  -20 08 58.8005        deltaCep   \n",
       "20            90.0     63  07 41 54.89037  -21 07 59.0533        deltaCep   \n",
       "21            90.0     77  15 54 42.81198  -54 33 59.1578        deltaCep   \n",
       "22            90.0    106  16 11 20.46619  -54 21 14.8260        deltaCep   \n",
       "23            90.0     56  16 45 19.11229  -51 20 33.3942        deltaCep   \n",
       "24            90.0    107  16 51 38.54735  -45 25 36.1053        deltaCep   \n",
       "25            90.0    190  04 47 46.31487  +36 43 22.0334        deltaCep   \n",
       "26            90.0     86  05 15 21.98271  +40 04 40.8831        deltaCep   \n",
       "27            90.0     23  05 44 14.00021  +37 35 12.7358        deltaCep   \n",
       "28            90.0     30  05 42 29.25848  +37 38 46.8174        deltaCep   \n",
       "29            90.0     15  05 36 26.75413  +44 35 28.9076        deltaCep   \n",
       "30            90.0     35  04 51 24.84791  +38 11 18.7865        deltaCep   \n",
       "31            90.0     28  04 55 18.11462  +39 58 46.9823        deltaCep   \n",
       "32            90.0    182  05 01 23.18817  +39 57 37.4223        deltaCep   \n",
       "33            90.0     84  04 59 41.53773  +40 50 09.7274        deltaCep   \n",
       "34            90.0     31  04 43 57.88070  +40 50 05.2077         Cepheid   \n",
       "35            90.0    125  04 49 47.93613  +42 17 22.9644        deltaCep   \n",
       "36            90.0     40  04 57 40.08073  +46 05 33.1124        deltaCep   \n",
       "37            90.0     57  04 17 06.06631  +41 43 54.6155        deltaCep   \n",
       "38            90.0     66  05 10 40.22942  +49 41 15.4001        deltaCep   \n",
       "39            90.0     69  04 19 46.85817  +48 57 11.7782        deltaCep   \n",
       "40            90.0      7  04 30 18.70010  +53 56 24.6419        deltaCep   \n",
       "41            90.0     40  05 06 31.64310  +55 21 12.7031        deltaCep   \n",
       "42            90.0    183  00 26 19.44848  +51 16 49.2908        deltaCep   \n",
       "43            90.0     97  00 14 28.24134  +56 15 10.5733        deltaCep   \n",
       "44            90.0    106  00 15 09.81286  +58 25 27.4399        deltaCep   \n",
       "45            90.0     17  00 57 20.04705  +55 26 19.7936        deltaCep   \n",
       "46            90.0     27  00 40 23.19655  +58 37 06.6786        deltaCep   \n",
       "47            90.0     96  00 49 53.26392  +60 07 38.5786        deltaCep   \n",
       "48            90.0    285  00 29 58.58861  +60 12 43.0697        deltaCep   \n",
       "49            90.0     35  00 26 35.95837  +60 47 53.4312        deltaCep   \n",
       "50            90.0     75  00 00 59.23841  +60 57 32.4320        deltaCep   \n",
       "51            90.0     19  00 17 02.50252  +60 48 10.1015        deltaCep   \n",
       "52            90.0     28  00 14 03.22910  +60 59 10.5544        deltaCep   \n",
       "53            90.0     25  00 02 41.77746  +61 51 39.8584        deltaCep   \n",
       "54            90.0     19  00 20 03.07524  +63 10 47.2538        deltaCep   \n",
       "55            90.0     20  00 36 44.51020  +62 16 27.2511        deltaCep   \n",
       "56            90.0     48  00 33 16.19826  +62 54 26.1477        deltaCep   \n",
       "57            90.0     34  02 33 52.56697  +57 01 38.9926        deltaCep   \n",
       "58            90.0    104  02 34 31.30007  +58 49 53.8392        deltaCep   \n",
       "59            90.0     88  02 27 35.46249  +58 55 01.7564        deltaCep   \n",
       "60            90.0    148  02 27 13.76705  +59 27 38.1747        deltaCep   \n",
       "61            90.0     22  03 23 47.88328  +59 21 20.4180        deltaCep   \n",
       "62            90.0     40  03 29 25.96934  +60 26 47.2720        deltaCep   \n",
       "63            90.0     63  02 44 43.31529  +61 27 52.9213        deltaCep   \n",
       "64            90.0     25  02 45 51.49192  +63 18 16.4617        deltaCep   \n",
       "65            90.0    169  04 04 58.46430  +58 39 35.2183        deltaCep   \n",
       "66            90.0     11  04 06 08.96765  +58 48 31.4872        deltaCep   \n",
       "67            90.0    146  03 54 21.77254  +58 39 11.9670        deltaCep   \n",
       "68            90.0      9  03 48 25.67328  +59 26 32.1774        deltaCep   \n",
       "69            90.0     23  03 36 20.14658  +62 17 14.0096         Cepheid   \n",
       "70            90.0     26  02 05 02.19305  +57 08 34.5628         Cepheid   \n",
       "71            90.0     75  01 51 07.02159  +59 53 17.5735        deltaCep   \n",
       "72            90.0     24  01 47 02.71589  +59 36 22.5273        deltaCep   \n",
       "73            90.0     69  02 13 07.48592  +58 04 47.8247        deltaCep   \n",
       "74            90.0    158  02 07 48.48060  +58 26 36.7406        deltaCep   \n",
       "75            90.0     21  02 10 46.37278  +59 15 13.3004        deltaCep   \n",
       "76            90.0    133  01 37 14.01944  +57 45 33.1921        deltaCep   \n",
       "77            90.0     25  01 16 01.20480  +61 37 14.5508        deltaCep   \n",
       "78            90.0    108  01 47 11.91932  +61 25 20.9523        deltaCep   \n",
       "79            90.0     86  01 32 43.22477  +63 35 37.6989        deltaCep   \n",
       "80            90.0     33  01 38 59.98664  +64 59 21.2646        deltaCep   \n",
       "81            90.0     21  02 10 29.17168  +63 17 51.1129        deltaCep   \n",
       "82            90.0      8  02 14 24.75821  +65 35 58.0091        deltaCep   \n",
       "83            90.0     59  01 12 41.16528  +61 12 48.0869        deltaCep   \n",
       "84            90.0     26  00 46 29.89283  +63 32 35.7947        deltaCep   \n",
       "85            90.0     59  01 15 01.09456  +65 35 57.8555        deltaCep   \n",
       "86            90.0     24  20 54 04.86961  +08 33 05.6048         Cepheid   \n",
       "87            90.0     73  20 01 09.81869  +15 48 12.6835        deltaCep   \n",
       "88            90.0    314  19 56 01.26143  +16 38 05.2363     PulsV*RVTau   \n",
       "89            90.0    197  19 36 37.72809  +20 19 58.5692        deltaCep   \n",
       "90            90.0    283  21 06 30.24427  +31 11 04.7656        deltaCep   \n",
       "91            90.0    303  20 51 28.23825  +28 15 01.8166        deltaCep   \n",
       "92            90.0    424  20 43 24.19187  +35 35 16.0757        deltaCep   \n",
       "93            90.0    116  21 04 16.63654  +39 58 20.1042        deltaCep   \n",
       "94            90.0    112  20 57 20.82988  +40 10 39.0085        deltaCep   \n",
       "95            90.0    145  21 51 41.44151  +43 08 02.5380        deltaCep   \n",
       "96            90.0    125  22 00 25.14687  +43 26 43.3296        deltaCep   \n",
       "97            90.0    159  21 19 22.17725  +38 14 14.8674        deltaCep   \n",
       "98            90.0    105  21 14 40.43395  +41 42 58.8442        deltaCep   \n",
       "99            90.0     96  21 20 32.90041  +45 28 03.0173        deltaCep   \n",
       "100           90.0    146  22 09 02.89992  +51 02 45.0832        deltaCep   \n",
       "101           90.0     10  21 49 35.52617  +52 23 42.8794  Rapid_Irreg_V*   \n",
       "102           90.0      7  23 56 26.68338  +58 01 36.7028              V*   \n",
       "103           90.0     99  23 52 07.03206  +58 44 30.2072        deltaCep   \n",
       "104           90.0     11  22 54 37.69684  +54 15 55.6260         Cepheid   \n",
       "105           90.0    141  22 48 37.99571  +56 19 17.5402        deltaCep   \n",
       "106           90.0    147  22 49 03.18069  +56 25 41.5309        deltaCep   \n",
       "107           90.0     28  22 21 16.79336  +54 31 55.4018        deltaCep   \n",
       "108           90.0    149  22 41 26.52586  +56 25 58.0297        deltaCep   \n",
       "109           90.0    197  22 40 52.14561  +56 49 46.0840        deltaCep   \n",
       "110           90.0     66  22 28 50.08787  +58 12 39.3975        deltaCep   \n",
       "111           90.0     76  22 46 24.77052  +59 26 31.9222        deltaCep   \n",
       "112           90.0     22  23 01 21.12924  +57 52 01.2968        deltaCep   \n",
       "113           90.0     99  23 07 10.08255  +58 33 15.1289        deltaCep   \n",
       "114           90.0     33  23 38 48.39499  +59 23 30.5810        deltaCep   \n",
       "115           90.0    206  23 58 17.97573  +61 13 15.8217        deltaCep   \n",
       "116           90.0     20  23 54 24.57600  +62 08 58.0923        deltaCep   \n",
       "117           90.0    104  23 57 34.95992  +62 43 05.6839        deltaCep   \n",
       "118           90.0      8  22 48 23.08940  +60 24 17.1927              V*   \n",
       "119           90.0     20  23 25 58.47507  +61 16 00.6140        deltaCep   \n",
       "120           90.0     36  23 39 27.29384  +62 22 19.7061        deltaCep   \n",
       "121           90.0     92  23 37 16.06057  +62 25 44.3709        deltaCep   \n",
       "122           90.0     58  23 45 02.62748  +63 00 13.8689        deltaCep   \n",
       "123           90.0     57  23 22 28.43880  +62 45 25.7409        deltaCep   \n",
       "124           90.0     57  23 29 12.76196  +63 22 27.4874        deltaCep   \n",
       "125           90.0    143  19 57 28.60557  +26 33 23.2819        deltaCep   \n",
       "126           90.0    381  19 51 30.90596  +27 27 36.8356        deltaCep   \n",
       "127           90.0     62  19 59 10.79734  +29 27 02.6823        deltaCep   \n",
       "128           90.0     35  19 57 49.00906  +30 15 57.2914        deltaCep   \n",
       "129           90.0     15  20 00 46.35819  +30 54 27.4224        deltaCep   \n",
       "130           90.0    265  19 44 48.73645  +29 15 52.8941        deltaCep   \n",
       "131           90.0     32  19 45 03.68739  +31 19 50.9108        deltaCep   \n",
       "132           90.0     32  19 59 33.71069  +33 44 45.8233        deltaCep   \n",
       "133           90.0     24  19 51 17.28423  +32 40 31.9632         Cepheid   \n",
       "134           90.0     65  19 38 11.58472  +32 29 22.4467        deltaCep   \n",
       "135           90.0     96  20 12 22.82979  +32 52 17.8407        deltaCep   \n",
       "136           90.0     22  20 05 20.66494  +32 39 32.8085         Cepheid   \n",
       "137           90.0    173  20 04 26.56128  +34 06 44.1873        deltaCep   \n",
       "138           90.0     31  19 57 46.10053  +35 38 09.8677        deltaCep   \n",
       "139           90.0     78  20 09 07.75982  +37 09 07.0851        deltaCep   \n",
       "140           90.0     17  20 16 47.49565  +36 32 59.8583         Cepheid   \n",
       "141           90.0     84  20 45 59.79771  +45 18 25.0462        deltaCep   \n",
       "142           90.0    129  20 32 54.29400  +46 36 04.5823        deltaCep   \n",
       "143           90.0     27  20 03 34.70105  +39 09 34.7318         Cepheid   \n",
       "144           90.0     70  19 48 15.46632  +43 07 36.9593         Cepheid   \n",
       "145           90.0    130  21 00 06.38082  +42 35 51.2146        deltaCep   \n",
       "146           90.0     20  21 07 46.60012  +46 44 13.1763        deltaCep   \n",
       "147           90.0     62  21 10 54.37303  +49 08 31.3996        deltaCep   \n",
       "148           90.0     26  20 46 12.55022  +45 28 43.0158        deltaCep   \n",
       "149           90.0     39  20 54 57.53096  +47 32 01.6907        deltaCep   \n",
       "150           90.0     85  21 57 52.69128  +56 09 50.0388        deltaCep   \n",
       "151           90.0     23  22 23 38.62598  +57 40 50.8418         Cepheid   \n",
       "152           90.0     77  21 57 51.92554  +61 01 07.9040        deltaCep   \n",
       "153           90.0     23  07 00 24.83282  -20 25 54.1320         Cepheid   \n",
       "154           90.0     75  07 21 32.85725  -16 41 14.0003        deltaCep   \n",
       "155           90.0    136  07 16 37.63581  -11 29 14.2990        deltaCep   \n",
       "156           90.0     65  07 00 59.82010  -08 42 32.3678        deltaCep   \n",
       "157           90.0     19  06 54 11.43735  -07 39 51.7717        deltaCep   \n",
       "158           90.0     32  07 07 08.54903  -07 47 42.4735        deltaCep   \n",
       "159           90.0     37  07 10 37.99242  -07 07 22.4615        deltaCep   \n",
       "160           90.0     35  06 50 48.68269  -07 58 50.6324        deltaCep   \n",
       "161           90.0     28  06 44 43.94725  -03 57 08.6399         Cepheid   \n",
       "162           90.0     62  07 01 53.61861  -01 07 51.4522        deltaCep   \n",
       "163           90.0     22  06 31 05.44222  -02 08 48.4569         Cepheid   \n",
       "164           90.0     63  06 58 50.31761  +09 37 21.8382        deltaCep   \n",
       "165           90.0     67  06 11 13.58301  +09 36 44.9862        deltaCep   \n",
       "166           90.0     37  06 05 44.72333  +13 14 23.9570        deltaCep   \n",
       "167           90.0      8  06 40 37.56280  +11 43 38.9257        deltaCep   \n",
       "168           90.0     96  05 45 40.52879  +18 39 24.8207        deltaCep   \n",
       "169           90.0    276  04 37 14.77788  +18 32 34.9293        deltaCep   \n",
       "170           90.0     30  05 45 44.91624  +27 04 04.4596        deltaCep   \n",
       "171           90.0     30  05 46 50.81504  +31 35 52.5079        deltaCep   \n",
       "172           90.0     76  06 00 28.50648  +35 18 43.8568        deltaCep   \n",
       "173           90.0    136  17 30 48.38040  -33 36 35.6589        deltaCep   \n",
       "174           90.0    162  18 13 02.49577  -23 07 02.2008        deltaCep   \n",
       "175           90.0    181  18 45 17.49620  -20 38 50.5717        deltaCep   \n",
       "176           90.0    221  18 50 59.87305  -20 17 42.8283        deltaCep   \n",
       "177           90.0    413  18 31 53.33218  -19 07 30.2627        deltaCep   \n",
       "178           90.0     11  18 22 27.06654  -10 07 29.1800         Cepheid   \n",
       "179           90.0    106  18 38 03.30639  -08 22 08.1620        deltaCep   \n",
       "180           90.0    330  17 52 38.70211  -06 08 36.8752        deltaCep   \n",
       "181           90.0     68  19 52 20.99091  -11 22 00.7572        deltaCep   \n",
       "182           90.0    152  19 08 20.77122  -07 26 15.8826        deltaCep   \n",
       "183           90.0     63  18 42 26.82087  -05 20 27.0457        deltaCep   \n",
       "184           90.0     77  18 42 07.91382  -04 17 36.5342        deltaCep   \n",
       "185           82.0      0  18 57 24.263    -00 43 48.86              Star   \n",
       "186           90.0    246  19 08 13.74971  +01 17 55.1462        deltaCep   \n",
       "187           90.0    164  19 04 39.41599  +01 18 22.1560        deltaCep   \n",
       "188           90.0    158  19 12 47.31501  +03 33 26.7045        deltaCep   \n",
       "189           90.0     56  19 57 33.02235  +11 02 37.2413        deltaCep   \n",
       "190           90.0     15  19 14 38.09773  +06 28 57.1900         Cepheid   \n",
       "191           90.0     79  19 21 02.34563  +08 30 58.8057        deltaCep   \n",
       "192           90.0    159  19 09 15.99017  +10 33 08.9588        deltaCep   \n",
       "193           90.0     39  19 10 00.41570  +12 32 11.6074        deltaCep   \n",
       "194           90.0     73  18 45 54.10346  +12 20 10.1101        deltaCep   \n",
       "195            0.0      2  18 58 14.7472   +17 21 39.290              SB*   \n",
       "196           90.0     85  11 44 32.88298  -67 18 18.8866        deltaCep   \n",
       "197           90.0     84  10 57 09.21518  -65 08 05.1177        deltaCep   \n",
       "198           90.0     80  11 02 16.06403  -64 15 46.4647        deltaCep   \n",
       "199           90.0     34  10 00 03.69283  -66 16 34.4752        deltaCep   \n",
       "200           90.0     57  10 32 04.42185  -61 46 57.4596        deltaCep   \n",
       "201           90.0     51  10 42 23.03162  -61 09 57.2932        deltaCep   \n",
       "202           90.0     36  10 39 20.32942  -61 09 08.7936        deltaCep   \n",
       "203           90.0     60  10 36 17.82350  -61 00 45.2493        deltaCep   \n",
       "204           90.0     88  10 21 22.97559  -61 04 26.7344        deltaCep   \n",
       "205           90.0     77  10 20 20.37147  -59 22 35.8323        deltaCep   \n",
       "206           90.0     53  10 26 50.87986  -59 40 10.3720        deltaCep   \n",
       "207           90.0    103  10 28 16.84516  -59 21 00.6776        deltaCep   \n",
       "208           90.0     55  09 55 26.16004  -58 25 46.9214        deltaCep   \n",
       "209           90.0     52  10 15 32.86603  -58 10 28.0171        deltaCep   \n",
       "210           90.0    115  08 28 43.69423  -60 07 21.2673        deltaCep   \n",
       "211           90.0     27  09 48 41.48965  -55 31 10.3510         Cepheid   \n",
       "212           90.0     83  09 41 10.26096  -53 48 57.7827        deltaCep   \n",
       "213           90.0     49  09 36 51.46635  -53 01 58.0663        deltaCep   \n",
       "214           90.0     23  09 17 16.71893  -53 05 05.5058        deltaCep   \n",
       "215           90.0     43  09 20 01.51303  -52 51 22.3254        deltaCep   \n",
       "216           90.0     25  09 33 23.73015  -52 45 21.1043        deltaCep   \n",
       "217           90.0     63  09 31 40.97506  -49 39 18.0192        deltaCep   \n",
       "218           90.0     93  09 08 15.74864  -51 26 10.6049        deltaCep   \n",
       "219           90.0     59  08 44 55.89324  -50 33 36.1408        deltaCep   \n",
       "220           90.0    105  08 44 53.46890  -46 20 34.7328        deltaCep   \n",
       "221           90.0    104  11 52 17.72254  -65 24 15.0607        deltaCep   \n",
       "222           90.0     80  11 49 16.01512  -63 04 42.9036         Cepheid   \n",
       "223           90.0     98  11 40 58.53774  -62 41 32.9319         Cepheid   \n",
       "224           90.0    110  11 25 12.98485  -61 22 08.9665        deltaCep   \n",
       "225           90.0     63  11 25 05.75519  -60 44 04.6342        deltaCep   \n",
       "226           90.0     63  11 53 33.53819  -62 51 07.9186        deltaCep   \n",
       "227           90.0     59  11 42 48.21491  -58 59 36.2238        deltaCep   \n",
       "228           90.0     85  11 12 10.12546  -61 45 17.5492        deltaCep   \n",
       "229           90.0     66  11 10 44.59523  -60 45 01.0135        deltaCep   \n",
       "230           90.0     66  11 14 21.21590  -60 03 10.5291        deltaCep   \n",
       "231           90.0     51  10 57 50.67169  -60 44 31.5233        deltaCep   \n",
       "232           90.0     84  11 04 13.47216  -60 58 47.7311        deltaCep   \n",
       "233           90.0     35  10 52 32.81627  -60 31 36.3608        deltaCep   \n",
       "234           90.0    196  10 57 48.18669  -59 43 55.8802        deltaCep   \n",
       "235           90.0     56  10 51 35.76775  -59 23 06.0136        deltaCep   \n",
       "236           90.0    111  11 09 41.14273  -58 50 15.8110        deltaCep   \n",
       "237           90.0     43  10 51 01.82533  -58 35 26.1553        deltaCep   \n",
       "238           90.0    182  10 44 32.69081  -57 33 55.3260        deltaCep   \n",
       "239           90.0     87  10 44 56.34639  -56 17 22.3951        deltaCep   \n",
       "240           90.0    116  10 33 10.85109  -58 29 55.0778        deltaCep   \n",
       "241           90.0    111  10 29 11.24287  -57 36 48.2451        deltaCep   \n",
       "242           90.0     47  10 36 08.60218  -56 02 35.6672        deltaCep   \n",
       "243           90.0    118  10 20 41.03176  -55 19 17.0359        deltaCep   \n",
       "244           90.0     67  09 33 50.85957  -36 36 56.7423        deltaCep   \n",
       "245           90.0     95  07 38 18.20876  -48 36 05.1591        deltaCep   \n",
       "246           90.0    104  08 10 49.32380  -47 41 54.8274         Cepheid   \n",
       "247           90.0    147  08 11 59.96702  -46 38 39.6561        deltaCep   \n",
       "248           90.0    139  08 37 40.82685  -47 21 43.0823        deltaCep   \n",
       "249           90.0    183  08 37 01.30293  -44 06 52.8444        deltaCep   \n",
       "250           90.0     19  07 58 46.33963  -38 59 39.6574        deltaCep   \n",
       "251           90.0    108  08 12 22.40321  -36 56 37.5301        deltaCep   \n",
       "252           90.0    301  08 13 04.21571  -34 34 42.6918        deltaCep   \n",
       "253           90.0     68  07 26 28.24471  -25 55 36.4156        deltaCep   \n",
       "254           90.0     91  07 41 59.00370  -25 52 34.2511        deltaCep   \n",
       "255           90.0     81  07 48 03.85140  -25 34 40.0231        deltaCep   \n",
       "256           90.0     39  07 56 57.70313  -22 49 31.5718        deltaCep   \n",
       "257           90.0    154  16 01 10.71590  -63 46 35.5324        deltaCep   \n",
       "258           90.0     40  15 30 49.82261  -65 35 57.5746        deltaCep   \n",
       "259           90.0    158  15 19 45.71231  -66 29 45.7417        deltaCep   \n",
       "260           90.0    121  16 07 19.00415  -62 54 38.0179         Cepheid   \n",
       "261           90.0    321  16 18 51.83133  -57 53 59.2536        deltaCep   \n",
       "262           90.0     53  14 50 30.29625  -67 29 51.4400        deltaCep   \n",
       "263           90.0    134  12 42 05.02561  -69 24 27.1966        deltaCep   \n",
       "264           90.0    220  12 12 47.01946  -70 09 06.4365        deltaCep   \n",
       "265           90.0     83  13 31 33.41039  -61 34 56.5146        deltaCep   \n",
       "266           90.0     93  13 18 58.28350  -62 22 56.4057        deltaCep   \n",
       "267           90.0     90  13 50 44.28859  -57 34 49.8067      PulsV*WVir   \n",
       "268           90.0    157  13 40 18.64469  -57 36 47.4440        deltaCep   \n",
       "269           90.0    112  14 52 35.25324  -63 48 35.4172        deltaCep   \n",
       "270           90.0     67  14 46 41.98011  -61 27 42.9903        deltaCep   \n",
       "271           90.0     51  14 37 11.96784  -62 00 39.2423        deltaCep   \n",
       "272           90.0    224  14 32 33.08280  -56 53 15.7748        deltaCep   \n",
       "273           90.0     53  17 37 37.56188  -40 48 48.7532        deltaCep   \n",
       "274           90.0      1  16 58 19.749    -33 36 32.79              Star   \n",
       "275           90.0     46  12 33 18.66854  -63 30 22.9108        deltaCep   \n",
       "276           90.0    126  12 21 21.12802  -62 16 53.8763        deltaCep   \n",
       "277           90.0     54  13 03 10.68449  -60 52 38.8750        deltaCep   \n",
       "278           90.0     50  12 12 59.66764  -62 05 48.5719        deltaCep   \n",
       "279           90.0    114  12 31 40.33011  -59 25 26.1224        deltaCep   \n",
       "280           90.0    104  12 41 26.02964  -59 47 39.0392        deltaCep   \n",
       "281           90.0     71  12 46 22.27897  -59 07 29.0143        deltaCep   \n",
       "282           90.0    160  12 54 21.99728  -58 25 50.2146        deltaCep   \n",
       "\n",
       "                        other_types   radvel  redshift        sp_type  \\\n",
       "0                    V* |cC*|*  |IR   66.500       NaN             F5   \n",
       "1                    Ce*|*  |V* |IR   79.010       NaN            NaN   \n",
       "2                    cC*|*  |V* |IR   59.200       NaN            NaN   \n",
       "3                    cC*|*  |V* |IR   45.300       NaN             G5   \n",
       "4                    cC*|*  |V* |IR   15.500       NaN             F5   \n",
       "5                    cC*|*  |V* |IR   16.000       NaN            NaN   \n",
       "6                    cC*|V* |*  |IR   45.000       NaN             F5   \n",
       "7                    V* |cC*|*  |IR   -7.400       NaN             K0   \n",
       "8                    V* |cC*|*  |IR  -18.100       NaN        F7(III)   \n",
       "9           Ce*|Em*|V* |*  |IR |SB*    2.500       NaN         F7/8II   \n",
       "10                   V* |cC*|*  |IR   27.900       NaN          G0-M0   \n",
       "11               ** |cC*|V* |*  |IR   62.300       NaN             G4   \n",
       "12                   Ce*|V* |*  |IR   77.400       NaN            NaN   \n",
       "13               ** |V* |cC*|*  |IR   56.900       NaN        F5-G2Ib   \n",
       "14                              NaN   63.000       NaN           F7.5   \n",
       "15                   cC*|*  |V* |IR  115.400       NaN            NaN   \n",
       "16                       V* |cC*|IR   88.550       NaN            NaN   \n",
       "17                       Ce*|V* |IR  117.810       NaN            NaN   \n",
       "18                       V* |cC*|IR      NaN       NaN            NaN   \n",
       "19                   V* |cC*|*  |IR   24.000       NaN             F5   \n",
       "20                   cC*|V* |*  |IR   87.000       NaN             F5   \n",
       "21           ** |V* |** |cC*|*  |IR  -26.800       NaN     F9Ib+B4.5V   \n",
       "22                    cC*|V* |IR |*  -40.340       NaN            F6I   \n",
       "23                   cC*|*  |V* |IR  -83.300       NaN            NaN   \n",
       "24                   cC*|*  |V* |IR  -24.100       NaN             K7   \n",
       "25              cC*|V* |IR |*  |SB*    5.500       NaN         F0+B6:   \n",
       "26                   cC*|*  |V* |IR  -12.100       NaN             G5   \n",
       "27              Ce*|V* |*  |IR |cC*   12.560       NaN            NaN   \n",
       "28                   cC*|*  |V* |IR  -20.610       NaN            NaN   \n",
       "29                Ce*|V* |IR |cC*|*  -25.420       NaN            NaN   \n",
       "30              cC*|*  |V* |IR |Ce*  -38.090       NaN            NaN   \n",
       "31              cC*|*  |V* |IR |Ce*      NaN       NaN            NaN   \n",
       "32                    V* |cC*|IR |*  -21.200       NaN          G0III   \n",
       "33              V* |cC*|*  |IR |Ce*    1.900       NaN             F6   \n",
       "34                   Ce*|V* |*  |IR  -30.580       NaN              F   \n",
       "35                   V* |cC*|*  |IR   -5.800       NaN          F6-G1   \n",
       "36                   cC*|*  |V* |IR  -13.300       NaN            NaN   \n",
       "37                              NaN   11.400       NaN              G   \n",
       "38                   V* |cC*|*  |IR  -43.200       NaN             F8   \n",
       "39                   V* |cC*|*  |IR  -26.000       NaN             F8   \n",
       "40                   *  |IR |cC*|V*  -19.170       NaN            NaN   \n",
       "41                    V* |cC*|IR |*   -8.380       NaN             G5   \n",
       "42                cC*|WV*|V* |IR |*  -19.600       NaN             F4   \n",
       "43                    V* |cC*|IR |*  -29.200       NaN         F7.5Ib   \n",
       "44                    V* |cC*|IR |*  -46.600       NaN             F5   \n",
       "45                   cC*|*  |IR |V*      NaN       NaN            NaN   \n",
       "46              cC*|*  |IR |V* |Ce*      NaN       NaN            NaN   \n",
       "47                    V* |cC*|IR |*  -42.000       NaN           G0Ib   \n",
       "48          V* |cC*|IR |*  |*iC|SB*  -36.800       NaN  G1Ib-IIHdel-1   \n",
       "49                    V* |cC*|IR |*  -43.470       NaN             F6   \n",
       "50                   cC*|*  |V* |IR  -87.000       NaN             F5   \n",
       "51                       cC*|V* |IR      NaN       NaN            NaN   \n",
       "52              cC*|*  |V* |IR |Ce*  -54.380       NaN            NaN   \n",
       "53                   cC*|*  |IR |V*  -78.870       NaN            NaN   \n",
       "54                   V* |cC*|*  |IR  -60.000       NaN            NaN   \n",
       "55                    cC*|V* |IR |*  -43.600       NaN            NaN   \n",
       "56              cC*|V* |*  |IR |Ce*  -44.500       NaN         F7.5Ib   \n",
       "57                   cC*|*  |V* |IR  -52.910       NaN           F6Ib   \n",
       "58                   cC*|*  |V* |IR  -59.000       NaN             F7   \n",
       "59                   cC*|*  |V* |IR  -39.500       NaN         F7.5Ib   \n",
       "60                    V* |cC*|IR |*  -46.500       NaN          G5III   \n",
       "61                   cC*|*  |IR |V*  -51.000       NaN            NaN   \n",
       "62              cC*|V* |IR |*  |Ce*  -60.800       NaN            NaN   \n",
       "63                   cC*|*  |V* |IR  -32.200       NaN             F8   \n",
       "64                   cC*|*  |IR |V*  -72.560       NaN            NaN   \n",
       "65              V* |cC*|IR |*  |SB*  -37.480       NaN       G2Ib+A0V   \n",
       "66              Ce*|V* |*  |IR |cC*  -32.760       NaN            NaN   \n",
       "67           V* |cC*|IR |*  |** |**  -25.000       NaN             F8   \n",
       "68                   *  |IR |cC*|V*  -27.600       NaN        F6-G1Ib   \n",
       "69                   Ce*|V* |*  |IR  -46.530       NaN            NaN   \n",
       "70                   Ce*|V* |*  |IR      NaN       NaN            NaN   \n",
       "71                   V* |cC*|*  |IR  -50.500       NaN             F6   \n",
       "72                       cC*|V* |IR -119.170       NaN            NaN   \n",
       "73                   cC*|*  |V* |IR  -41.500       NaN             F5   \n",
       "74                   V* |cC*|*  |IR  -36.300       NaN           G2IV   \n",
       "75                   cC*|*  |V* |IR  -57.470       NaN            NaN   \n",
       "76                              NaN  -71.600       NaN             G2   \n",
       "77                   cC*|*  |V* |IR  -57.590       NaN            NaN   \n",
       "78       cC*|V* |*  |IR |SB*|** |**  -58.700       NaN             F5   \n",
       "79                    V* |cC*|IR |*  -25.000       NaN           G0Ib   \n",
       "80                   cC*|*  |V* |IR  -18.510       NaN            NaN   \n",
       "81                   V* |cC*|*  |IR  -47.480       NaN            NaN   \n",
       "82                   *  |V* |cC*|IR  -44.190       NaN            NaN   \n",
       "83                   cC*|*  |IR |V*  -51.000       NaN             G2   \n",
       "84                   cC*|*  |IR |V*  -61.340       NaN            NaN   \n",
       "85                   cC*|*  |IR |V*  -41.000       NaN             F6   \n",
       "86                    Ce*|V* |IR |* -165.240       NaN            NaN   \n",
       "87                   cC*|*  |V* |IR    1.300       NaN       hF4mF7/8   \n",
       "88          RV*|V* |UV |IR |*  |SB*   -9.910       NaN           F7Ib   \n",
       "89              V* |cC*|IR |*  |SB*  -12.850       NaN          F8Iab   \n",
       "90                V* |cC*|UV |IR |*   -1.300       NaN          F7II-   \n",
       "91                V* |cC*|UV |IR |*   -2.600       NaN     F5Ib+A0.8V   \n",
       "92                    V* |cC*|IR |*    8.100       NaN           F7Ib   \n",
       "93                   V* |cC*|*  |IR  -11.900       NaN    F5.5-G0.5Ib   \n",
       "94               Em*|V* |cC*|*  |IR  -16.400       NaN     F5e-G2I-II   \n",
       "95              V* |cC*|*  |IR |SB*  -15.100       NaN             G0   \n",
       "96                              NaN  -18.600       NaN           G0.7   \n",
       "97   ** |V* |cC*|*  |UV |IR |SB*|**   -1.800       NaN     F1II+B7.0V   \n",
       "98                   V* |cC*|*  |IR   -6.800       NaN      F5.5-G0Ib   \n",
       "99                   cC*|*  |V* |IR  -16.100       NaN             F5   \n",
       "100                  V* |cC*|*  |IR  -22.900       NaN             F8   \n",
       "101                 *  |IR |V* |RI*      NaN       NaN            NaN   \n",
       "102                  IR |*  |V* |V*  -39.730       NaN            NaN   \n",
       "103              V* |** |cC*|*  |IR  -84.200       NaN           F9Ib   \n",
       "104                      Ce*|V* |IR  -59.520       NaN            NaN   \n",
       "105                  V* |cC*|*  |IR  -24.400       NaN             G5   \n",
       "106                  V* |cC*|*  |IR  -25.100       NaN             G5   \n",
       "107                  cC*|*  |V* |IR  -73.660       NaN          F6Ibp   \n",
       "108                  V* |cC*|*  |IR  -38.400       NaN             K0   \n",
       "109             V* |cC*|*  |IR |SB*  -31.400       NaN           F6Ib   \n",
       "110                             NaN  -55.000       NaN             F8   \n",
       "111                  V* |cC*|*  |IR  -31.900       NaN             G0   \n",
       "112                  cC*|*  |V* |IR  -71.830       NaN             F8   \n",
       "113                  V* |cC*|*  |IR  -38.000       NaN             K0   \n",
       "114                  cC*|*  |V* |IR  -39.680       NaN             F7   \n",
       "115             V* |cC*|*  |IR |*iC  -77.800       NaN          F8Ibv   \n",
       "116                  cC*|*  |V* |IR  -83.530       NaN            NaN   \n",
       "117                  V* |cC*|*  |IR  -70.000       NaN             F7   \n",
       "118                      V* |*  |IR  -55.970       NaN            NaN   \n",
       "119                  cC*|*  |V* |IR  -79.150       NaN              F   \n",
       "120             cC*|V* |IR |*  |Ce*  -70.630       NaN             F6   \n",
       "121                  V* |cC*|*  |IR  -33.000       NaN        F7-G1Ib   \n",
       "122             cC*|*  |V* |IR |Ce*  -54.900       NaN          F6-G5   \n",
       "123             cC*|*  |V* |IR |Ce*  -55.900       NaN          F3Ibp   \n",
       "124                  cC*|*  |V* |IR      NaN       NaN         G1-2Ib   \n",
       "125                  V* |cC*|*  |IR  -14.700       NaN           F8Ia   \n",
       "126                  V* |cC*|*  |IR   -2.000       NaN           F8Ia   \n",
       "127                  cC*|V* |*  |IR  -11.300       NaN             F5   \n",
       "128                  cC*|*  |V* |IR    2.600       NaN            G5V   \n",
       "129                      cC*|V* |IR  -25.030       NaN            NaN   \n",
       "130         V* |cC*|UV |*  |IR |SB*  -13.460       NaN   F2Iab:+B8.0V   \n",
       "131                  cC*|*  |V* |IR   -0.440       NaN            NaN   \n",
       "132                  IR |cC*|*  |V*   -9.150       NaN            NaN   \n",
       "133                   Ce*|V* |IR |*  -73.270       NaN            NaN   \n",
       "134                  V* |cC*|*  |IR  -12.800       NaN            F8I   \n",
       "135             V* |cC*|*  |IR |SB*  -13.760       NaN      F8.5-G2Ib   \n",
       "136                   IR |Ce*|V* |*  -20.380       NaN            NaN   \n",
       "137                  V* |cC*|*  |IR  -12.500       NaN    F8-G5Iab-Ib   \n",
       "138                      IR |cC*|V* -133.100       NaN            NaN   \n",
       "139                  V* |cC*|*  |IR  -13.000       NaN          G0III   \n",
       "140                  Ce*|V* |*  |IR    9.630       NaN            NaN   \n",
       "141                  V* |cC*|*  |IR  -11.400       NaN     F7Ib-G4Ib:   \n",
       "142                  V* |cC*|*  |IR  -11.200       NaN  F7.5/8-G6.5Ib   \n",
       "143                  Ce*|V* |*  |IR  -59.000       NaN             F5   \n",
       "144                  Ce*|V* |*  |IR   -6.400       NaN             G0   \n",
       "145                  V* |cC*|*  |IR  -19.000       NaN   F5.5Ib-G5Ib:   \n",
       "146                      cC*|V* |IR  -68.840       NaN            NaN   \n",
       "147                   V* |cC*|IR |*  -22.400       NaN             F8   \n",
       "148                  cC*|*  |V* |IR  -16.870       NaN             K3   \n",
       "149                  cC*|*  |V* |IR  -22.100       NaN             G0   \n",
       "150                  V* |cC*|*  |IR  -40.700       NaN           F5Ib   \n",
       "151                  *  |V* |Ce*|IR  -69.120       NaN            NaN   \n",
       "152              V* |cC*|*  |** |IR   -5.300       NaN             G0   \n",
       "153                      Ce*|V* |IR   76.680       NaN            NaN   \n",
       "154                  cC*|V* |*  |IR   23.000       NaN             F6   \n",
       "155                  V* |cC*|*  |IR   34.400       NaN        F8Ib/II   \n",
       "156                  V* |cC*|*  |IR   40.500       NaN             F5   \n",
       "157                      cC*|V* |IR   85.750       NaN            NaN   \n",
       "158                  V* |cC*|*  |IR      NaN       NaN            NaN   \n",
       "159                  V* |cC*|*  |IR   95.840       NaN            NaN   \n",
       "160                  V* |cC*|*  |IR   80.630       NaN            NaN   \n",
       "161                       Ce*|V* |*   68.380       NaN            NaN   \n",
       "162                  cC*|*  |V* |IR   50.280       NaN          F3III   \n",
       "163          RR*|RR*|Ce*|V* |*  |IR      NaN       NaN            NaN   \n",
       "164                  V* |cC*|*  |IR   28.850       NaN           F8II   \n",
       "165             *  |IR |cC*|V* |V*?      NaN       NaN              B   \n",
       "166                  cC*|*  |V* |IR   40.000       NaN             F7   \n",
       "167                 *  |IR |V* |cC*   72.320       NaN            NaN   \n",
       "168                  V* |cC*|*  |IR   -2.500       NaN             G5   \n",
       "169                   V* |cC*|IR |*   -1.200       NaN        F6.7:Ib   \n",
       "170                  cC*|*  |V* |IR   24.840       NaN            NaN   \n",
       "171                  cC*|*  |V* |IR   18.840       NaN            NaN   \n",
       "172             cC*|V* |*  |IR |Ce*   13.910       NaN           F5Ib   \n",
       "173                  V* |cC*|*  |IR   13.800       NaN        F8/G0II   \n",
       "174              ** |V* |cC*|*  |IR  -18.000       NaN      F7/8Ib/II   \n",
       "175             V* |cC*|IR |*  |SB*   11.600       NaN        F8Ib/II   \n",
       "176                  V* |cC*|*  |IR    6.000       NaN           G0Ib   \n",
       "177           V* |** |cC*|*iC|IR |*    2.200       NaN           G1Ib   \n",
       "178                  Ce*|V* |*  |IR    3.810       NaN            NaN   \n",
       "179                  V* |cC*|*  |IR   14.200       NaN             F7   \n",
       "180             V* |cC*|IR |*  |SB*   -7.200       NaN           G3Ia   \n",
       "181                  V* |cC*|*  |IR   12.700       NaN           G2Ib   \n",
       "182              SB*|V* |cC*|*  |IR    1.400       NaN     F8/G0Iab/b   \n",
       "183                  V* |cC*|*  |IR   39.800       NaN            NaN   \n",
       "184                  V* |cC*|*  |IR   25.000       NaN             F8   \n",
       "185                           *  |*      NaN       NaN            NaN   \n",
       "186               ** |V* |cC*|IR |*    3.000       NaN         G0/2Ib   \n",
       "187                  V* |cC*|*  |IR    7.000       NaN        F8/G0Ib   \n",
       "188                   V* |cC*|IR |*   12.900       NaN     F8/G0Iab/b   \n",
       "189                  cC*|*  |V* |IR   28.700       NaN             K0   \n",
       "190                  Ce*|V* |*  |IR   28.950       NaN            NaN   \n",
       "191                  cC*|V* |*  |IR    2.100       NaN            F8v   \n",
       "192                  V* |cC*|*  |IR   -5.100       NaN            F2I   \n",
       "193             *  |IR |cC*|V* |Ce*   17.900       NaN            NaN   \n",
       "194             V* |cC*|*  |IR |Ce*   88.400       NaN             G5   \n",
       "195              IR |*  |SB*|** |**      NaN       NaN            NaN   \n",
       "196                  cC*|V* |*  |IR   -1.800       NaN             F8   \n",
       "197                  V* |cC*|*  |IR  -11.400       NaN             G0   \n",
       "198                  V* |cC*|*  |IR   -5.700       NaN             G5   \n",
       "199                  cC*|*  |V* |IR   18.080       NaN        F8Ib/II   \n",
       "200                  V* |cC*|*  |IR      NaN       NaN              G   \n",
       "201                  V* |cC*|*  |IR   25.433       NaN            NaN   \n",
       "202                  V* |cC*|*  |IR  -12.220       NaN      G2/3Ib/II   \n",
       "203                  V* |cC*|*  |IR  -21.400       NaN             G0   \n",
       "204                  V* |cC*|*  |IR    1.400       NaN        F8/G0Ib   \n",
       "205                  cC*|V* |*  |IR   -3.210       NaN             G5   \n",
       "206                  V* |cC*|*  |IR  -14.800       NaN             G0   \n",
       "207             V* |cC*|*  |IR |SB*    3.000       NaN             G5   \n",
       "208                  V* |cC*|*  |IR   31.280       NaN           F8II   \n",
       "209                  V* |cC*|*  |IR    9.000       NaN            NaN   \n",
       "210                   V* |cC*|IR |*   16.100  0.000054        F8Ib/II   \n",
       "211              ** |Ce*|V* |*  |IR   14.950       NaN         F9II+?   \n",
       "212                  *iC|V* |cC*|IR   27.530       NaN            NaN   \n",
       "213                  cC*|*  |V* |IR   14.900       NaN            NaN   \n",
       "214              V* |** |cC*|*  |IR   25.670       NaN            NaN   \n",
       "215                  V* |cC*|*  |IR   32.500       NaN            NaN   \n",
       "216                      V* |cC*|IR   11.780       NaN            NaN   \n",
       "217                             NaN   20.500       NaN            NaN   \n",
       "218             cC*|IR |V* |*  |SB*   10.900  0.000036         F7/8II   \n",
       "219             cC*|V* |*  |IR |SB*    7.400       NaN              K   \n",
       "220                  V* |cC*|*  |IR   30.900  0.000103           F8II   \n",
       "221                  cC*|V* |*  |IR  -15.700       NaN         F7/G0p   \n",
       "222               Ce*|V* |** |IR |*  -16.000       NaN             G5   \n",
       "223              Ce*|V* |** |*  |IR   -5.100       NaN        F3Ib/II   \n",
       "224                  cC*|*  |IR |V*  -12.100       NaN            F7V   \n",
       "225                  V* |cC*|*  |IR  -15.500       NaN             K0   \n",
       "226                  V* |cC*|*  |IR  -13.490       NaN             F5   \n",
       "227                             NaN   -2.300       NaN            NaN   \n",
       "228                  V* |cC*|*  |IR  -14.000       NaN        F8Iab/b   \n",
       "229         V* |cC*|*  |IR |*iC|SB*  -10.040       NaN             F8   \n",
       "230                  V* |cC*|*  |IR   -6.900       NaN             G5   \n",
       "231                  V* |cC*|*  |IR    8.600       NaN             G0   \n",
       "232                  V* |cC*|*  |IR    1.500       NaN             K5   \n",
       "233                   cC*|V* |IR |*  -11.670       NaN            NaN   \n",
       "234                  V* |cC*|*  |IR    2.100       NaN        G5/8Iab   \n",
       "235              ** |V* |cC*|*  |IR  -13.300       NaN         F9II+?   \n",
       "236             V* |cC*|*  |IR |*iC  -18.100       NaN        G1Iab/b   \n",
       "237                   V* |cC*|IR |*   13.000       NaN            NaN   \n",
       "238              V* |** |cC*|*  |IR   -1.200       NaN        F7Iab/b   \n",
       "239                  V* |cC*|*  |IR    4.200       NaN           F7II   \n",
       "240             V* |cC*|*  |IR |SB*  -12.900       NaN           F0/3   \n",
       "241                  cC*|V* |*  |IR   10.400  0.000035           F2II   \n",
       "242                  V* |cC*|*  |IR   15.000       NaN            NaN   \n",
       "243                   V* |cC*|IR |*  -10.400       NaN        F5Ib/II   \n",
       "244               V* |cC*|*iC|IR |*   29.500  0.000098             G5   \n",
       "245              cC*|UV |IR |*  |V*   14.830       NaN        F7Ib/II   \n",
       "246                  Ce*|V* |*  |IR   24.200  0.000081           F6II   \n",
       "247                   V* |cC*|IR |*   28.810       NaN        F7Ib/II   \n",
       "248                  V* |cC*|*  |IR    8.000  0.000027           G0II   \n",
       "249             V* |cC*|IR |*  |SB*   24.900       NaN           G1Ib   \n",
       "250                      cC*|V* |IR   82.520       NaN            NaN   \n",
       "251                   V* |cC*|IR |*   28.000  0.000093             F5   \n",
       "252     V* |cC*|*  |RNe|IR |ISM|ISM   24.600       NaN          F8Iab   \n",
       "253                             NaN   36.600       NaN           F5II   \n",
       "254                   V* |cC*|IR |*   51.600  0.000172             G0   \n",
       "255             V* |cC*|*  |IR |SB*   51.154       NaN             F8   \n",
       "256                  V* |cC*|*  |IR   41.620       NaN           F3II   \n",
       "257                   V* |cC*|IR |*    2.200       NaN           F8II   \n",
       "258         *  |IR |V* |Ce*|cC*|SB*  -25.240       NaN           F8II   \n",
       "259                   V* |cC*|IR |*  -13.200       NaN        F7Ib/II   \n",
       "260                  Ce*|V* |*  |IR  -11.800       NaN        F8Ib/II   \n",
       "261         SB*|V* |cC*|IR |*  |*iC    5.830       NaN        F8/G0Ib   \n",
       "262              V* |** |cC*|*  |IR    8.690       NaN           F7II   \n",
       "263               ** |V* |cC*|IR |*    3.800  0.000013           F7Ib   \n",
       "264     ** |** |V* |cC*|IR |*  |SB*   -1.910       NaN       F6Ib+B5V   \n",
       "265           ** |V* |cC*|IR |UV |*   -6.970       NaN     F6/7Ib+B6V   \n",
       "266                  cC*|*  |V* |IR  -17.700       NaN        F5Iab/b   \n",
       "267             WV*|V* |*  |IR |Ce*  -30.800       NaN        F8Ib/II   \n",
       "268             V* |cC*|IR |*  |SB*  -18.100       NaN         F7/8II   \n",
       "269         ** |V* |cC*|IR |*  |SB*  -18.030       NaN           F8II   \n",
       "270     cC*|** |V* |IR |Ce*|*  |*iC  -22.040       NaN     F2/3II+B6V   \n",
       "271              ** |cC*|*  |V* |IR    8.380       NaN         G0/1Ib   \n",
       "272                  V* |cC*|*  |IR  -18.900       NaN        F5Ib/II   \n",
       "273                  cC*|IR |*  |V*   11.610       NaN        F6Ib/II   \n",
       "274                          *  |**      NaN       NaN            NaN   \n",
       "275              Em*|V* |cC*|*  |IR    7.460       NaN             K0   \n",
       "276                   V* |cC*|IR |*   -6.000       NaN           G2Ib   \n",
       "277                  cC*|V* |*  |IR  -18.780       NaN             G5   \n",
       "278                  V* |cC*|*  |IR  -20.470       NaN            NaN   \n",
       "279                   V* |cC*|IR |*  -22.690       NaN        F7Ib/II   \n",
       "280                             NaN   -3.770       NaN        F8Ib/II   \n",
       "281                             NaN  -25.000       NaN         G0/2Ib   \n",
       "282                   V* |cC*|IR |*   -6.100       NaN        F7Ib/II   \n",
       "\n",
       "     morph_type     plx  pmra_x  pmdec_x  size_maj  size_min  size_angle  \\\n",
       "0           NaN  0.2757   -2.18     3.15       NaN       NaN         NaN   \n",
       "1           NaN  0.1746   -0.44     0.57       NaN       NaN         NaN   \n",
       "2           NaN  0.1247   -0.04     0.80       NaN       NaN         NaN   \n",
       "3           NaN  0.4151   -0.67     1.15       NaN       NaN         NaN   \n",
       "4           NaN  0.2583    0.76     0.08       NaN       NaN         NaN   \n",
       "5           NaN  0.1933   -0.15    -2.95       NaN       NaN         NaN   \n",
       "6           NaN  0.0907   -0.49    -1.27       NaN       NaN         NaN   \n",
       "7           NaN  0.6973    1.98    -1.48       NaN       NaN         NaN   \n",
       "8           NaN  0.5131    0.89     2.25       NaN       NaN         NaN   \n",
       "9           NaN  0.7022   -0.06    -0.38       NaN       NaN         NaN   \n",
       "10          NaN  0.4102   -0.42    -2.19       NaN       NaN         NaN   \n",
       "11          NaN  0.1507   -1.48     2.17       NaN       NaN         NaN   \n",
       "12          NaN  0.1490   -2.57     3.24       NaN       NaN         NaN   \n",
       "13          NaN  0.2900   -2.63     2.44       NaN       NaN         NaN   \n",
       "14          NaN  1.3300   -0.99     2.52       NaN       NaN         NaN   \n",
       "15          NaN  0.0603   -1.52     1.94       NaN       NaN         NaN   \n",
       "16          NaN  0.2131   -1.21     2.67       NaN       NaN         NaN   \n",
       "17          NaN  0.0621   -0.75     1.88       NaN       NaN         NaN   \n",
       "18          NaN  0.0777   -1.16     2.08       NaN       NaN         NaN   \n",
       "19          NaN  0.1698   -2.11     2.16       NaN       NaN         NaN   \n",
       "20          NaN  0.1267   -2.38     2.98       NaN       NaN         NaN   \n",
       "21          NaN  0.4002   -1.27    -2.08       NaN       NaN         NaN   \n",
       "22          NaN  0.4744   -1.75    -3.76       NaN       NaN         NaN   \n",
       "23          NaN  0.2477   -2.61    -6.66       NaN       NaN         NaN   \n",
       "24          NaN  0.5039   -1.35    -2.23       NaN       NaN         NaN   \n",
       "25          NaN  1.0420    0.34    -1.35       NaN       NaN         NaN   \n",
       "26          NaN  0.1724    0.30    -0.47       NaN       NaN         NaN   \n",
       "27          NaN  0.2163   -0.06    -0.58       NaN       NaN         NaN   \n",
       "28          NaN  0.2324    0.40    -1.14       NaN       NaN         NaN   \n",
       "29          NaN  0.1117    0.31    -1.89       NaN       NaN         NaN   \n",
       "30          NaN  0.1782    0.29    -0.19       NaN       NaN         NaN   \n",
       "31          NaN  0.0708    0.39    -0.33       NaN       NaN         NaN   \n",
       "32          NaN  0.5430    1.32    -3.16       NaN       NaN         NaN   \n",
       "33          NaN  0.0696    2.57     2.09       NaN       NaN         NaN   \n",
       "34          NaN  0.1069    0.63    -0.19       NaN       NaN         NaN   \n",
       "35          NaN  0.0340    5.46    -1.73       NaN       NaN         NaN   \n",
       "36          NaN  0.1625    0.09    -0.23       NaN       NaN         NaN   \n",
       "37          NaN  0.2316    0.56    -1.25       NaN       NaN         NaN   \n",
       "38          NaN  0.3308    0.18    -1.83       NaN       NaN         NaN   \n",
       "39          NaN  0.5205    0.36    -2.41       NaN       NaN         NaN   \n",
       "40          NaN  0.1649    0.66    -0.55       NaN       NaN         NaN   \n",
       "41          NaN  1.2718    4.36    -3.09       NaN       NaN         NaN   \n",
       "42          NaN  0.9150    1.52    -3.39       NaN       NaN         NaN   \n",
       "43          NaN  0.3586   -2.01    -1.49       NaN       NaN         NaN   \n",
       "44          NaN  0.3986   -2.14    -1.88       NaN       NaN         NaN   \n",
       "45          NaN  0.0817   -1.30     0.04       NaN       NaN         NaN   \n",
       "46          NaN  0.0533   -1.40    -0.13       NaN       NaN         NaN   \n",
       "47          NaN  0.4034   -1.40    -0.88       NaN       NaN         NaN   \n",
       "48          NaN  0.4222   -2.57    -1.47       NaN       NaN         NaN   \n",
       "49          NaN  0.5092   -2.65    -1.17       NaN       NaN         NaN   \n",
       "50          NaN  0.2236   -3.18    -1.61       NaN       NaN         NaN   \n",
       "51          NaN  0.0671   -1.71    -0.52       NaN       NaN         NaN   \n",
       "52          NaN  0.2467   -2.57    -0.27       NaN       NaN         NaN   \n",
       "53          NaN  0.1597   -3.04    -0.63       NaN       NaN         NaN   \n",
       "54          NaN  0.3028   -1.61    -0.79       NaN       NaN         NaN   \n",
       "55          NaN  0.2597   -1.59     0.05       NaN       NaN         NaN   \n",
       "56          NaN  0.1822   -2.06    -0.69       NaN       NaN         NaN   \n",
       "57          NaN  0.2652   -0.94    -0.42       NaN       NaN         NaN   \n",
       "58          NaN  0.3656   -0.13    -0.99       NaN       NaN         NaN   \n",
       "59          NaN  0.3942    0.09    -0.79       NaN       NaN         NaN   \n",
       "60          NaN  0.3651    0.19    -0.68       NaN       NaN         NaN   \n",
       "61          NaN  0.2224   -0.15    -0.62       NaN       NaN         NaN   \n",
       "62          NaN  0.1878    0.06     0.56       NaN       NaN         NaN   \n",
       "63          NaN  0.3070   -0.45    -0.22       NaN       NaN         NaN   \n",
       "64          NaN  0.0768   -1.24     0.44       NaN       NaN         NaN   \n",
       "65          NaN  0.7823   -1.03    -0.39       NaN       NaN         NaN   \n",
       "66          NaN  0.1321   -0.25    -0.33       NaN       NaN         NaN   \n",
       "67          NaN  1.5004   -2.03     1.23    0.0050       0.0        99.0   \n",
       "68          NaN  0.7156    0.57    -0.71       NaN       NaN         NaN   \n",
       "69          NaN  0.1699    0.33     0.43       NaN       NaN         NaN   \n",
       "70          NaN  0.1154   -1.05     0.21       NaN       NaN         NaN   \n",
       "71          NaN  0.3346   -1.20    -0.07       NaN       NaN         NaN   \n",
       "72          NaN  0.0150   -0.92     0.20       NaN       NaN         NaN   \n",
       "73          NaN  0.2260   -0.26     0.05       NaN       NaN         NaN   \n",
       "74          NaN  0.3298   -0.06    -1.25       NaN       NaN         NaN   \n",
       "75          NaN  0.1267   -0.58    -0.20       NaN       NaN         NaN   \n",
       "76          NaN  0.3455   -0.85    -0.90       NaN       NaN         NaN   \n",
       "77          NaN  0.3290   -0.20    -0.75       NaN       NaN         NaN   \n",
       "78          NaN  0.4810   -1.21     0.42    0.0050       0.0       275.0   \n",
       "79          NaN  1.2963   -0.45    -0.14       NaN       NaN         NaN   \n",
       "80          NaN  0.2796   -0.59    -0.59       NaN       NaN         NaN   \n",
       "81          NaN  0.2469   -1.30     0.68       NaN       NaN         NaN   \n",
       "82          NaN  0.1215   -0.84     0.17       NaN       NaN         NaN   \n",
       "83          NaN  0.1486   -1.97    -0.99       NaN       NaN         NaN   \n",
       "84          NaN  0.3396   -1.27    -0.77       NaN       NaN         NaN   \n",
       "85          NaN  0.3739   -0.47     0.09       NaN       NaN         NaN   \n",
       "86          NaN  0.1407   -6.03    -5.20       NaN       NaN         NaN   \n",
       "87          NaN  0.2283   -1.55    -5.10       NaN       NaN         NaN   \n",
       "88          NaN  0.6426    1.76    -5.43       NaN       NaN         NaN   \n",
       "89          NaN  1.0530    0.91    -0.96       NaN       NaN         NaN   \n",
       "90          NaN  1.7062    3.64    -5.08       NaN       NaN         NaN   \n",
       "91          NaN  1.6738    3.50    -5.09       NaN       NaN         NaN   \n",
       "92          NaN  0.8983   -6.80    -5.00       NaN       NaN         NaN   \n",
       "93          NaN  0.4464   -2.89    -4.05       NaN       NaN         NaN   \n",
       "94          NaN  0.3495   -1.91    -3.55       NaN       NaN         NaN   \n",
       "95          NaN  0.4350   -3.54    -3.82       NaN       NaN         NaN   \n",
       "96          NaN  0.5094   -5.57    -3.21       NaN       NaN         NaN   \n",
       "97          NaN  1.1506    3.74     0.33       NaN       NaN         NaN   \n",
       "98          NaN  0.8960   -0.89    -2.03       NaN       NaN         NaN   \n",
       "99          NaN  0.5614   -3.43    -3.51       NaN       NaN         NaN   \n",
       "100         NaN  0.4034   -3.02    -2.59       NaN       NaN         NaN   \n",
       "101         NaN  0.2779   -3.64    -4.18       NaN       NaN         NaN   \n",
       "102         NaN  0.2502   -2.14    -0.50       NaN       NaN         NaN   \n",
       "103         NaN  0.3193   -3.00    -0.99       NaN       NaN         NaN   \n",
       "104         NaN     NaN   -1.65    -0.48       NaN       NaN         NaN   \n",
       "105         NaN  0.4367   -3.34    -1.27       NaN       NaN         NaN   \n",
       "106         NaN  0.4957   -3.25    -1.42       NaN       NaN         NaN   \n",
       "107         NaN  0.1718   -3.01    -2.70       NaN       NaN         NaN   \n",
       "108         NaN  0.3230   -3.63    -3.07       NaN       NaN         NaN   \n",
       "109         NaN  0.4575   -3.92    -2.70       NaN       NaN         NaN   \n",
       "110         NaN  0.2648   -3.13    -2.51       NaN       NaN         NaN   \n",
       "111         NaN  0.6795   -4.11    -2.96       NaN       NaN         NaN   \n",
       "112         NaN  0.2545   -3.91    -2.37       NaN       NaN         NaN   \n",
       "113         NaN  0.4125   -3.39    -2.47       NaN       NaN         NaN   \n",
       "114         NaN  0.3552   -2.69    -1.64       NaN       NaN         NaN   \n",
       "115         NaN  0.2871   -3.07    -1.75       NaN       NaN         NaN   \n",
       "116         NaN  0.1389   -2.46    -0.99       NaN       NaN         NaN   \n",
       "117         NaN  0.2210   -1.71    -1.08       NaN       NaN         NaN   \n",
       "118         NaN  0.3897   -3.38    -2.78       NaN       NaN         NaN   \n",
       "119         NaN  0.1553   -2.56    -0.87       NaN       NaN         NaN   \n",
       "120         NaN  0.2288   -1.64    -0.59       NaN       NaN         NaN   \n",
       "121         NaN  0.5877   -1.45    -0.77       NaN       NaN         NaN   \n",
       "122         NaN  0.3826   -2.31    -1.66       NaN       NaN         NaN   \n",
       "123         NaN  0.2708   -3.27    -1.71       NaN       NaN         NaN   \n",
       "124         NaN  0.2425   -3.15    -1.49       NaN       NaN         NaN   \n",
       "125         NaN  0.8408   -1.42    -4.04       NaN       NaN         NaN   \n",
       "126         NaN  0.3729   -2.14    -5.82       NaN       NaN         NaN   \n",
       "127         NaN  0.4003   -2.51    -4.91       NaN       NaN         NaN   \n",
       "128         NaN  0.2163   -2.50    -4.38       NaN       NaN         NaN   \n",
       "129         NaN  0.2453   -3.54    -6.24       NaN       NaN         NaN   \n",
       "130         NaN  1.1695   -1.85    -3.16       NaN       NaN         NaN   \n",
       "131         NaN  0.1467   -4.24    -7.93       NaN       NaN         NaN   \n",
       "132         NaN  0.2121   -3.39    -6.25       NaN       NaN         NaN   \n",
       "133         NaN  0.0270   -1.96    -3.61       NaN       NaN         NaN   \n",
       "134         NaN  0.0480   -3.58    -4.34       NaN       NaN         NaN   \n",
       "135         NaN  0.6972   -3.51    -5.10       NaN       NaN         NaN   \n",
       "136         NaN  0.3389   -2.99    -5.64       NaN       NaN         NaN   \n",
       "137         NaN  0.3808   -2.00    -5.56       NaN       NaN         NaN   \n",
       "138         NaN  0.1036   -4.13    -6.02       NaN       NaN         NaN   \n",
       "139         NaN  0.3994   -2.54    -3.59       NaN       NaN         NaN   \n",
       "140         NaN  0.2665   -3.04    -4.15       NaN       NaN         NaN   \n",
       "141         NaN  0.4474   -4.96    -5.13       NaN       NaN         NaN   \n",
       "142         NaN  0.3616   -2.26    -5.42       NaN       NaN         NaN   \n",
       "143         NaN  0.0330   -2.70    -5.06       NaN       NaN         NaN   \n",
       "144         NaN  0.4134   -1.61    -3.60       NaN       NaN         NaN   \n",
       "145         NaN  0.7807   -0.97    -2.13       NaN       NaN         NaN   \n",
       "146         NaN  0.1410   -2.88    -3.54       NaN       NaN         NaN   \n",
       "147         NaN  0.3868   -2.71    -3.14       NaN       NaN         NaN   \n",
       "148         NaN  0.5282    0.53    -2.15       NaN       NaN         NaN   \n",
       "149         NaN  0.5277   -2.08    -3.01       NaN       NaN         NaN   \n",
       "150         NaN  0.2877   -3.93    -3.15       NaN       NaN         NaN   \n",
       "151         NaN  0.2243   -2.82    -1.47       NaN       NaN         NaN   \n",
       "152         NaN  1.1328   -4.87    -3.49       NaN       NaN         NaN   \n",
       "153         NaN  0.1816   -0.45     1.76       NaN       NaN         NaN   \n",
       "154         NaN  0.4917   -1.51     1.03       NaN       NaN         NaN   \n",
       "155         NaN  0.6164   -2.77     1.78       NaN       NaN         NaN   \n",
       "156         NaN  0.2689   -2.28     1.81       NaN       NaN         NaN   \n",
       "157         NaN     NaN   -0.12     0.51       NaN       NaN         NaN   \n",
       "158         NaN  0.1276   -0.41     0.77       NaN       NaN         NaN   \n",
       "159         NaN  0.1384   -0.93     1.12       NaN       NaN         NaN   \n",
       "160         NaN  0.1418   -0.36     0.76       NaN       NaN         NaN   \n",
       "161         NaN  0.1346   -1.00     0.55       NaN       NaN         NaN   \n",
       "162         NaN  0.4191   -3.47     1.70       NaN       NaN         NaN   \n",
       "163         NaN  0.0622    0.19     0.41       NaN       NaN         NaN   \n",
       "164         NaN  0.2778   -0.37    -0.79       NaN       NaN         NaN   \n",
       "165         NaN  0.3873   -0.40    -1.08       NaN       NaN         NaN   \n",
       "166         NaN  0.1603    0.70     0.32       NaN       NaN         NaN   \n",
       "167         NaN  0.2583   -0.71    -0.14       NaN       NaN         NaN   \n",
       "168         NaN  0.8052    1.22    -2.51       NaN       NaN         NaN   \n",
       "169         NaN  1.4284   -4.61    -5.39       NaN       NaN         NaN   \n",
       "170         NaN  0.2535   -0.16    -1.40       NaN       NaN         NaN   \n",
       "171         NaN  0.1481    0.10    -1.62       NaN       NaN         NaN   \n",
       "172         NaN  0.9571   -1.22    -5.32       NaN       NaN         NaN   \n",
       "173         NaN  0.9204    0.22    -2.87       NaN       NaN         NaN   \n",
       "174         NaN  1.1190    0.89    -3.76       NaN       NaN         NaN   \n",
       "175         NaN  0.9859   -0.28    -3.00       NaN       NaN         NaN   \n",
       "176         NaN  1.2485    0.31    -5.14       NaN       NaN         NaN   \n",
       "177         NaN  1.4601   -1.68    -6.03       NaN       NaN         NaN   \n",
       "178         NaN  0.4903    0.70    -3.70       NaN       NaN         NaN   \n",
       "179         NaN  0.4294   -0.71    -2.98       NaN       NaN         NaN   \n",
       "180         NaN  1.3611   -3.23    -4.65       NaN       NaN         NaN   \n",
       "181         NaN  0.7380    7.86   -10.83       NaN       NaN         NaN   \n",
       "182         NaN  0.9435   -0.61    -5.38       NaN       NaN         NaN   \n",
       "183         NaN  0.3763   -1.04    -1.30       NaN       NaN         NaN   \n",
       "184         NaN  0.3209   -1.13    -2.48       NaN       NaN         NaN   \n",
       "185         NaN     NaN   -4.30    -1.70       NaN       NaN         NaN   \n",
       "186         NaN  0.8881   -0.27    -4.56       NaN       NaN         NaN   \n",
       "187         NaN  0.4210    0.29    -2.51       NaN       NaN         NaN   \n",
       "188         NaN  0.6901   -1.81    -4.51       NaN       NaN         NaN   \n",
       "189         NaN  0.3004    0.11    -4.27       NaN       NaN         NaN   \n",
       "190         NaN  0.4412   -3.97    -7.07       NaN       NaN         NaN   \n",
       "191         NaN  0.5540    2.14    -1.65       NaN       NaN         NaN   \n",
       "192         NaN  0.9304    0.26    -5.24       NaN       NaN         NaN   \n",
       "193         NaN  0.4775   -1.70    -4.95       NaN       NaN         NaN   \n",
       "194         NaN  0.2333   -4.22   -10.10       NaN       NaN         NaN   \n",
       "195         NaN  1.6400   -0.10    -9.33       NaN       NaN         NaN   \n",
       "196         NaN  0.6807   -6.75    -0.94       NaN       NaN         NaN   \n",
       "197         NaN  0.2656   -5.72     2.45       NaN       NaN         NaN   \n",
       "198         NaN  0.3295   -5.15     3.15       NaN       NaN         NaN   \n",
       "199         NaN  0.8579   -5.54     2.75       NaN       NaN         NaN   \n",
       "200         NaN     NaN   -5.91     2.57       NaN       NaN         NaN   \n",
       "201         NaN  0.3305   -6.24     3.13       NaN       NaN         NaN   \n",
       "202         NaN  0.3284   -6.17     2.52       NaN       NaN         NaN   \n",
       "203         NaN  0.3738   -6.21     2.79       NaN       NaN         NaN   \n",
       "204         NaN  0.2867   -6.37     3.94       NaN       NaN         NaN   \n",
       "205         NaN  0.3454   -5.86     2.58       NaN       NaN         NaN   \n",
       "206         NaN  0.2631   -7.31     3.59       NaN       NaN         NaN   \n",
       "207         NaN  0.3204   -6.63     2.24       NaN       NaN         NaN   \n",
       "208         NaN  0.3552   -5.50     2.67       NaN       NaN         NaN   \n",
       "209         NaN  0.3653   -5.91     2.46       NaN       NaN         NaN   \n",
       "210         NaN  0.7603   -4.06     2.48       NaN       NaN         NaN   \n",
       "211         NaN  0.2073   -5.96     3.37       NaN       NaN         NaN   \n",
       "212         NaN  0.1649   -4.57     2.96       NaN       NaN         NaN   \n",
       "213         NaN  0.3123   -5.11     3.96       NaN       NaN         NaN   \n",
       "214         NaN  0.2087   -4.10     3.47       NaN       NaN         NaN   \n",
       "215         NaN  0.0946   -4.37     3.88       NaN       NaN         NaN   \n",
       "216         NaN  0.2752   -4.98     3.86       NaN       NaN         NaN   \n",
       "217         NaN  0.3911   -5.69     3.71       NaN       NaN         NaN   \n",
       "218         NaN  1.0074  -10.49     5.63       NaN       NaN         NaN   \n",
       "219         NaN  0.4074   -4.87     4.41       NaN       NaN         NaN   \n",
       "220         NaN  0.4087   -4.55     4.68       NaN       NaN         NaN   \n",
       "221         NaN  0.2642   -5.91     0.33       NaN       NaN         NaN   \n",
       "222         NaN  0.3351   -8.43     1.86       NaN       NaN         NaN   \n",
       "223         NaN  0.6214   -6.65     1.50       NaN       NaN         NaN   \n",
       "224         NaN  0.4247   -7.16     2.17       NaN       NaN         NaN   \n",
       "225         NaN  0.5495   -6.71     1.99       NaN       NaN         NaN   \n",
       "226         NaN  0.2343   -6.35     0.95       NaN       NaN         NaN   \n",
       "227         NaN  0.0992   -6.41     1.72       NaN       NaN         NaN   \n",
       "228         NaN  0.7038   -7.15     1.54       NaN       NaN         NaN   \n",
       "229         NaN  0.3552   -6.71     2.08       NaN       NaN         NaN   \n",
       "230         NaN  0.2979   -4.59     1.50       NaN       NaN         NaN   \n",
       "231         NaN  0.3742   -5.86     1.23       NaN       NaN         NaN   \n",
       "232         NaN  0.4240   -7.26     2.53       NaN       NaN         NaN   \n",
       "233         NaN  0.1373   -7.18     3.03       NaN       NaN         NaN   \n",
       "234         NaN  0.4790   -5.97     2.37       NaN       NaN         NaN   \n",
       "235         NaN  0.3751   -5.55     2.50       NaN       NaN         NaN   \n",
       "236         NaN  0.7956   -9.69     2.35       NaN       NaN         NaN   \n",
       "237         NaN  0.2034   -6.63     3.12       NaN       NaN         NaN   \n",
       "238         NaN  0.5121   -6.21     2.49       NaN       NaN         NaN   \n",
       "239         NaN  0.4061   -7.21     2.67       NaN       NaN         NaN   \n",
       "240         NaN  0.3011   -9.09     2.29       NaN       NaN         NaN   \n",
       "241         NaN  0.5607   -7.07     2.26       NaN       NaN         NaN   \n",
       "242         NaN  0.2298   -7.74     3.39       NaN       NaN         NaN   \n",
       "243         NaN  0.6100   -6.90     4.17       NaN       NaN         NaN   \n",
       "244         NaN  0.2924   -6.97     5.85       NaN       NaN         NaN   \n",
       "245         NaN  1.2610   -4.06     5.29       NaN       NaN         NaN   \n",
       "246         NaN  0.6161   -6.80     8.00       NaN       NaN         NaN   \n",
       "247         NaN  1.2170   -4.41     6.77       NaN       NaN         NaN   \n",
       "248         NaN  0.8517   -6.73     4.17       NaN       NaN         NaN   \n",
       "249         NaN  0.5467   -4.66     5.70       NaN       NaN         NaN   \n",
       "250         NaN  0.1391   -1.50     3.32       NaN       NaN         NaN   \n",
       "251         NaN  0.5676   -4.56     3.74       NaN       NaN         NaN   \n",
       "252         NaN  0.5844   -3.52     2.82       NaN       NaN         NaN   \n",
       "253         NaN  0.5146   -3.53     3.15       NaN       NaN         NaN   \n",
       "254         NaN  0.3347   -2.13     2.46       NaN       NaN         NaN   \n",
       "255         NaN  0.1227   -2.50     2.97       NaN       NaN         NaN   \n",
       "256         NaN  0.3512   -3.03     2.84       NaN       NaN         NaN   \n",
       "257         NaN  1.0753   -2.24    -2.80       NaN       NaN         NaN   \n",
       "258         NaN  0.8888   -4.74    -7.42       NaN       NaN         NaN   \n",
       "259         NaN  1.4754   -5.11    -8.32       NaN       NaN         NaN   \n",
       "260         NaN  0.8772   -1.43    -2.77       NaN       NaN         NaN   \n",
       "261         NaN  1.0616   -1.42    -2.29       NaN       NaN         NaN   \n",
       "262         NaN  1.0158   -3.30    -2.25       NaN       NaN         NaN   \n",
       "263         NaN  1.0002   -4.18    -2.13       NaN       NaN         NaN   \n",
       "264         NaN  1.1314   -8.02    -1.67       NaN       NaN         NaN   \n",
       "265         NaN  0.4838   -5.91    -1.83    0.0100       0.0       234.0   \n",
       "266         NaN  0.5568   -5.54    -2.36       NaN       NaN         NaN   \n",
       "267         NaN  0.8413   -5.79    -1.79       NaN       NaN         NaN   \n",
       "268         NaN  0.5373   -4.02    -1.13       NaN       NaN         NaN   \n",
       "269         NaN  1.7449   -4.78    -5.11    0.0067       0.0       344.0   \n",
       "270         NaN  0.9952   -5.36    -3.92       NaN       NaN         NaN   \n",
       "271         NaN  1.0148   -2.25    -3.59       NaN       NaN         NaN   \n",
       "272         NaN  1.3397   -6.40    -7.03       NaN       NaN         NaN   \n",
       "273         NaN  0.8398   -0.43    -1.59       NaN       NaN         NaN   \n",
       "274         NaN     NaN    4.40    -6.60       NaN       NaN         NaN   \n",
       "275         NaN  0.7832   -3.88    -1.29       NaN       NaN         NaN   \n",
       "276         NaN  1.1397  -10.89    -0.65       NaN       NaN         NaN   \n",
       "277         NaN  0.4462   -3.42    -0.75       NaN       NaN         NaN   \n",
       "278         NaN  0.2909   -5.35     0.45       NaN       NaN         NaN   \n",
       "279         NaN  1.7777  -12.69    -4.11       NaN       NaN         NaN   \n",
       "280         NaN  0.6210   -4.36    -2.01       NaN       NaN         NaN   \n",
       "281         NaN  0.5235   -5.82    -0.27       NaN       NaN         NaN   \n",
       "282         NaN  1.0215   -9.48    -3.99       NaN       NaN         NaN   \n",
       "\n",
       "        B_x       V    R_x       J       H       K   u      g   r_xa      i  \\\n",
       "0    10.400   9.590    NaN   7.781   7.327   7.131 NaN    NaN    NaN    NaN   \n",
       "1       NaN     NaN    NaN   9.622   9.080   8.845 NaN    NaN    NaN    NaN   \n",
       "2    11.500  10.530    NaN   8.720   8.301   8.148 NaN    NaN    NaN    NaN   \n",
       "3    11.600  10.500    NaN   8.174   7.842   7.659 NaN    NaN    NaN    NaN   \n",
       "4    11.960  11.290    NaN   9.574   9.081   8.938 NaN    NaN    NaN    NaN   \n",
       "5    11.240  10.730    NaN   8.759   8.336   8.207 NaN    NaN    NaN    NaN   \n",
       "6    10.420   9.800    NaN   8.354   8.071   7.960 NaN    NaN    NaN    NaN   \n",
       "7    10.070   8.810    NaN   6.188   5.628   5.400 NaN    NaN    NaN    NaN   \n",
       "8     9.100   7.450    NaN   5.573   5.054   4.781 NaN    NaN    NaN    NaN   \n",
       "9     9.590   8.410    NaN   6.462   5.943   5.718 NaN    NaN    NaN    NaN   \n",
       "10   10.890   9.600    NaN   7.166   6.678   6.460 NaN    NaN    NaN    NaN   \n",
       "11   10.990   9.750   8.97   7.751   7.338   7.141 NaN    NaN    NaN    NaN   \n",
       "12   11.750  10.590   9.88   8.169   7.684   7.460 NaN    NaN    NaN    NaN   \n",
       "13    9.700   8.540    NaN   5.879   5.329   5.091 NaN    NaN    NaN    NaN   \n",
       "14    9.730   8.980    NaN   7.157   6.657   6.463 NaN    NaN    NaN    NaN   \n",
       "15   13.350     NaN    NaN   9.279   8.806   8.619 NaN    NaN    NaN    NaN   \n",
       "16      NaN     NaN    NaN   9.177   8.512   8.341 NaN    NaN    NaN    NaN   \n",
       "17      NaN     NaN    NaN  10.092   9.585   9.381 NaN    NaN    NaN    NaN   \n",
       "18      NaN     NaN    NaN  10.962  10.353  10.176 NaN    NaN    NaN    NaN   \n",
       "19   12.120  11.150    NaN   8.933   8.509   8.365 NaN    NaN    NaN    NaN   \n",
       "20   11.360  10.530    NaN   8.557   8.226   8.075 NaN    NaN    NaN    NaN   \n",
       "21   11.000   9.630    NaN   6.686   6.086   5.822 NaN    NaN    NaN    NaN   \n",
       "22    9.530   8.710   8.66   7.004   6.700   6.544 NaN    NaN    NaN    NaN   \n",
       "23   11.390  10.030    NaN   7.516   6.880   6.632 NaN    NaN    NaN    NaN   \n",
       "24   10.690   9.310    NaN   5.836   5.264   4.955 NaN    NaN    NaN    NaN   \n",
       "25    8.460   7.510    NaN   5.100   4.792   4.630 NaN    NaN    NaN    NaN   \n",
       "26   11.770  10.240    NaN   7.685   7.064   6.820 NaN    NaN    NaN    NaN   \n",
       "27      NaN     NaN    NaN   9.369   8.865   8.666 NaN    NaN    NaN    NaN   \n",
       "28   13.620     NaN    NaN   9.740   9.372   9.202 NaN    NaN    NaN    NaN   \n",
       "29      NaN     NaN    NaN  10.265   9.933   9.829 NaN    NaN    NaN    NaN   \n",
       "30   14.600     NaN    NaN  11.090  10.605  10.443 NaN    NaN    NaN    NaN   \n",
       "31      NaN     NaN    NaN  11.453  11.095  10.968 NaN    NaN    NaN    NaN   \n",
       "32    8.490   7.620    NaN   5.753   5.404   5.256 NaN    NaN    NaN    NaN   \n",
       "33   11.350  10.210    NaN   7.802   7.354   7.182 NaN    NaN    NaN    NaN   \n",
       "34      NaN     NaN    NaN   9.075   8.596   8.443 NaN    NaN    NaN    NaN   \n",
       "35    9.740   8.860    NaN   6.719   6.231   6.078 NaN    NaN    NaN    NaN   \n",
       "36   13.440     NaN    NaN   8.472   7.817   7.581 NaN    NaN    NaN    NaN   \n",
       "37      NaN  13.210    NaN   8.675   8.224   8.097 NaN    NaN    NaN    NaN   \n",
       "38   10.400   9.420    NaN   7.484   7.006   6.848 NaN    NaN    NaN    NaN   \n",
       "39   10.940   9.710    NaN   6.827   6.391   6.242 NaN    NaN    NaN    NaN   \n",
       "40   12.200     NaN    NaN   9.479   9.009   8.795 NaN    NaN    NaN    NaN   \n",
       "41    8.560   7.590    NaN   5.442   5.122   4.962 NaN    NaN    NaN    NaN   \n",
       "42    8.507   7.835    NaN   6.681   6.441   6.331 NaN    NaN    NaN    NaN   \n",
       "43   10.150   9.160    NaN   7.259   6.823   6.674 NaN    NaN    NaN    NaN   \n",
       "44   10.690   9.920    NaN   7.863   7.434   7.240 NaN    NaN    NaN    NaN   \n",
       "45      NaN     NaN    NaN  12.223  11.926  11.751 NaN    NaN    NaN    NaN   \n",
       "46      NaN     NaN    NaN  11.398  10.985  10.850 NaN    NaN    NaN    NaN   \n",
       "47   11.000   9.970    NaN   7.658   7.280   7.121 NaN    NaN    NaN    NaN   \n",
       "48    9.880   8.630    NaN   6.536   5.995   5.857 NaN    NaN    NaN    NaN   \n",
       "49   10.180   9.160    NaN   6.816   6.362   6.217 NaN    NaN    NaN    NaN   \n",
       "50   12.700  11.280    NaN   8.832   8.313   8.136 NaN    NaN    NaN    NaN   \n",
       "51   15.670     NaN    NaN  11.294  10.659  10.393 NaN    NaN    NaN    NaN   \n",
       "52   13.740     NaN    NaN   9.699   9.086   8.888 NaN    NaN    NaN    NaN   \n",
       "53   14.310     NaN    NaN   9.570   8.912   8.704 NaN    NaN    NaN    NaN   \n",
       "54   13.580     NaN    NaN   9.419   8.885   8.688 NaN    NaN    NaN    NaN   \n",
       "55   13.980     NaN    NaN   9.305   8.667   8.350 NaN    NaN    NaN    NaN   \n",
       "56   12.680  11.520    NaN   8.837   8.193   7.984 NaN    NaN    NaN    NaN   \n",
       "57   12.840  11.610    NaN   9.257   8.763   8.564 NaN    NaN    NaN    NaN   \n",
       "58   12.460  11.180    NaN   7.961   7.431   7.231 NaN    NaN    NaN    NaN   \n",
       "59   12.480  11.320    NaN   7.848   7.219   6.979 NaN    NaN    NaN    NaN   \n",
       "60   11.500   9.600    NaN   6.814   6.217   6.007 NaN    NaN    NaN    NaN   \n",
       "61   14.140     NaN    NaN   9.162   8.598   8.348 NaN    NaN    NaN    NaN   \n",
       "62   14.160     NaN    NaN   9.338   8.652   8.387 NaN    NaN    NaN    NaN   \n",
       "63   11.800  10.740    NaN   8.525   8.114   7.959 NaN    NaN    NaN    NaN   \n",
       "64   13.760     NaN    NaN   9.974   9.408   9.198 NaN    NaN    NaN    NaN   \n",
       "65    8.850   7.700    NaN   5.316   4.864   4.701 NaN    NaN    NaN    NaN   \n",
       "66   12.100  11.040    NaN   7.941   7.400   7.252 NaN    NaN    NaN    NaN   \n",
       "67   10.020   8.720    NaN   5.687   5.187   4.979 NaN    NaN    NaN    NaN   \n",
       "68   11.990  10.810    NaN   7.400   6.768   6.505 NaN    NaN    NaN    NaN   \n",
       "69      NaN     NaN    NaN  10.028   9.422   9.226 NaN    NaN    NaN    NaN   \n",
       "70      NaN     NaN    NaN  10.759  10.457  10.321 NaN    NaN    NaN    NaN   \n",
       "71   11.850  10.730    NaN   8.213   7.824   7.689 NaN    NaN    NaN    NaN   \n",
       "72   14.840     NaN    NaN  11.048  10.534  10.422 NaN    NaN    NaN    NaN   \n",
       "73   12.140  11.260    NaN   9.481   9.059   8.897 NaN    NaN    NaN    NaN   \n",
       "74   10.470   9.370    NaN   7.024   6.520   6.291 NaN    NaN    NaN    NaN   \n",
       "75   14.030     NaN    NaN   9.906   9.482   9.261 NaN    NaN    NaN    NaN   \n",
       "76    9.440   8.580    NaN   6.682   6.388   6.203 NaN    NaN    NaN    NaN   \n",
       "77   13.520     NaN    NaN   8.967   8.341   8.036 NaN    NaN    NaN    NaN   \n",
       "78   11.500  10.410    NaN   7.637   7.199   7.035 NaN    NaN    NaN    NaN   \n",
       "79    8.486   7.176    NaN   4.899   4.158   4.059 NaN    NaN    NaN    NaN   \n",
       "80   12.370  11.400    NaN   8.979   8.538   8.319 NaN    NaN    NaN    NaN   \n",
       "81   11.540  10.590    NaN   8.404   8.012   7.893 NaN    NaN    NaN    NaN   \n",
       "82   12.300     NaN    NaN   9.818   9.297   9.107 NaN    NaN    NaN    NaN   \n",
       "83   12.150  11.450    NaN   9.288   8.789   8.625 NaN    NaN    NaN    NaN   \n",
       "84   13.780  11.910    NaN   8.617   8.053   7.815 NaN    NaN    NaN    NaN   \n",
       "85   11.900  10.800    NaN   7.766   7.268   7.045 NaN    NaN    NaN    NaN   \n",
       "86   12.600     NaN    NaN  11.216  10.882  10.818 NaN    NaN    NaN    NaN   \n",
       "87   10.950  10.140    NaN   8.593   8.169   8.026 NaN    NaN    NaN    NaN   \n",
       "88    6.030   5.360    NaN   4.210   3.860   3.760 NaN    NaN    NaN    NaN   \n",
       "89    8.368   7.162    NaN   4.734   4.127   4.110 NaN    NaN    NaN    NaN   \n",
       "90    6.380   5.820    NaN   4.740   4.470   4.374 NaN    NaN    NaN    NaN   \n",
       "91    6.490   5.770    NaN   4.570   4.426   4.289 NaN    NaN    NaN    NaN   \n",
       "92    7.700   6.470    NaN   4.400   3.940   3.760 NaN    NaN    NaN    NaN   \n",
       "93   10.660   9.560    NaN   6.982   6.489   6.305 NaN    NaN    NaN    NaN   \n",
       "94   11.600  10.080    NaN   6.710   6.026   5.756 NaN    NaN    NaN    NaN   \n",
       "95   10.020   8.600    NaN   7.266   6.922   6.738 NaN    NaN    NaN    NaN   \n",
       "96    9.330   8.590    NaN   6.893   6.592   6.459 NaN    NaN    NaN    NaN   \n",
       "97    6.364   5.882    NaN   5.170   4.664   4.460 NaN    NaN    NaN    NaN   \n",
       "98   11.120   9.750    NaN   6.247   5.700   5.489 NaN    NaN    NaN    NaN   \n",
       "99   10.080   9.110    NaN   6.863   6.393   6.250 NaN    NaN    NaN    NaN   \n",
       "100   9.790   9.130    NaN   7.511   7.190   7.135 NaN    NaN    NaN    NaN   \n",
       "101  12.840  11.810    NaN   9.127   8.507   8.262 NaN    NaN    NaN    NaN   \n",
       "102  12.920  11.800    NaN   9.501   8.934   8.712 NaN    NaN    NaN    NaN   \n",
       "103  11.320   9.950    NaN   7.215   6.685   6.487 NaN    NaN    NaN    NaN   \n",
       "104     NaN     NaN    NaN  11.047  10.276   9.657 NaN    NaN    NaN    NaN   \n",
       "105   9.720   8.890    NaN   7.097   6.645   6.537 NaN    NaN    NaN    NaN   \n",
       "106   9.210   8.420    NaN   6.389   6.069   5.952 NaN    NaN    NaN    NaN   \n",
       "107  13.080     NaN    NaN   9.549   9.153   8.944 NaN    NaN    NaN    NaN   \n",
       "108   9.680   8.870    NaN   7.137   6.713   6.576 NaN    NaN    NaN    NaN   \n",
       "109   9.710   8.570    NaN   6.127   5.734   5.594 NaN    NaN    NaN    NaN   \n",
       "110  12.530  13.170    NaN   8.463   7.888   7.700 NaN    NaN    NaN    NaN   \n",
       "111  10.940   9.640    NaN   6.568   6.018   5.832 NaN    NaN    NaN    NaN   \n",
       "112  13.320     NaN    NaN   9.232   8.701   8.513 NaN    NaN    NaN    NaN   \n",
       "113  10.730   9.740    NaN   7.305   6.943   6.793 NaN    NaN    NaN    NaN   \n",
       "114  12.450  11.080    NaN   8.127   7.630   7.383 NaN    NaN    NaN    NaN   \n",
       "115  12.720  10.800    NaN   8.695   8.180   7.973 NaN    NaN    NaN    NaN   \n",
       "116  13.340     NaN    NaN   9.324   8.800   8.583 NaN    NaN    NaN    NaN   \n",
       "117  10.950   9.840    NaN   7.462   7.016   6.887 NaN    NaN    NaN    NaN   \n",
       "118  12.300     NaN    NaN   8.800   8.242   8.011 NaN    NaN    NaN    NaN   \n",
       "119     NaN     NaN    NaN  10.136   9.605   9.414 NaN    NaN    NaN    NaN   \n",
       "120  13.180     NaN    NaN   8.766   8.230   7.948 NaN    NaN    NaN    NaN   \n",
       "121  11.400  10.060    NaN   6.967   6.370   6.160 NaN    NaN    NaN    NaN   \n",
       "122  11.620  10.640    NaN   7.644   7.048   6.812 NaN    NaN    NaN    NaN   \n",
       "123  12.570  10.790    NaN   7.482   6.723   6.448 NaN    NaN    NaN    NaN   \n",
       "124  13.480  11.670    NaN   7.748   7.017   6.732 NaN    NaN    NaN    NaN   \n",
       "125  10.160   8.870    NaN   5.992   5.465   5.201 NaN    NaN    NaN    NaN   \n",
       "126   7.860   6.740    NaN   4.560   4.080   3.920 NaN    NaN    NaN    NaN   \n",
       "127  11.210   9.940    NaN   7.308   6.783   6.578 NaN    NaN    NaN    NaN   \n",
       "128  12.450  11.210    NaN   8.163   7.567   7.366 NaN    NaN    NaN    NaN   \n",
       "129  14.700     NaN    NaN   9.582   8.982   8.699 NaN    NaN    NaN    NaN   \n",
       "130   6.880   6.440   6.06   5.786   5.492   5.418 NaN    NaN    NaN    NaN   \n",
       "131  13.960     NaN    NaN  10.083   9.610   9.429 NaN    NaN    NaN    NaN   \n",
       "132  13.200     NaN    NaN   8.703   8.170   7.930 NaN    NaN    NaN    NaN   \n",
       "133  14.600     NaN    NaN  10.282   9.751   9.518 NaN    NaN    NaN    NaN   \n",
       "134  11.480  10.750    NaN   8.963   8.654   8.511 NaN    NaN    NaN    NaN   \n",
       "135  10.710   9.450    NaN   6.552   6.108   5.927 NaN    NaN    NaN    NaN   \n",
       "136     NaN     NaN  12.59   9.417   8.801   8.557 NaN    NaN    NaN    NaN   \n",
       "137   9.350   8.350    NaN   6.473   5.866   5.642 NaN    NaN    NaN    NaN   \n",
       "138  14.920     NaN    NaN  10.017   9.576   9.375 NaN    NaN    NaN    NaN   \n",
       "139  10.900   9.870    NaN   7.707   7.354   7.202 NaN    NaN    NaN    NaN   \n",
       "140     NaN     NaN    NaN   8.981   8.342   8.104 NaN    NaN    NaN    NaN   \n",
       "141  11.800  10.200    NaN   6.807   6.129   5.872 NaN    NaN    NaN    NaN   \n",
       "142  10.800   9.370    NaN   6.385   5.894   5.710 NaN    NaN    NaN    NaN   \n",
       "143  14.200     NaN    NaN  11.301  10.757  10.601 NaN    NaN    NaN    NaN   \n",
       "144   9.920   9.140    NaN   7.417   7.049   6.919 NaN    NaN    NaN    NaN   \n",
       "145  11.300   9.500    NaN   5.558   4.844   4.491 NaN    NaN    NaN    NaN   \n",
       "146  13.740     NaN    NaN   9.669   9.158   8.935 NaN    NaN    NaN    NaN   \n",
       "147  11.760  10.540    NaN   7.775   7.170   6.950 NaN    NaN    NaN    NaN   \n",
       "148  12.570  11.840    NaN   7.702   7.019   6.721 NaN    NaN    NaN    NaN   \n",
       "149  12.100  10.890    NaN   8.225   7.726   7.558 NaN    NaN    NaN    NaN   \n",
       "150  12.290  10.580    NaN   7.406   6.748   6.451 NaN    NaN    NaN    NaN   \n",
       "151  13.500     NaN    NaN   9.295   8.654   8.502 NaN    NaN    NaN    NaN   \n",
       "152   8.680   7.860    NaN   5.952   5.656   5.516 NaN    NaN    NaN    NaN   \n",
       "153     NaN     NaN    NaN  11.191  10.786  10.612 NaN    NaN    NaN    NaN   \n",
       "154  10.750   9.720    NaN   7.511   7.110   6.929 NaN    NaN    NaN    NaN   \n",
       "155   8.990   8.190    NaN   6.273   5.996   5.853 NaN    NaN    NaN    NaN   \n",
       "156  11.370  10.290    NaN   7.531   7.047   6.856 NaN    NaN    NaN    NaN   \n",
       "157  14.850     NaN    NaN  11.484  10.941  10.767 NaN    NaN    NaN    NaN   \n",
       "158  14.440     NaN    NaN  10.689  10.107   9.845 NaN    NaN    NaN    NaN   \n",
       "159  14.070     NaN    NaN  10.322   9.862   9.655 NaN    NaN    NaN    NaN   \n",
       "160  14.030     NaN    NaN  10.744  10.311  10.115 NaN    NaN    NaN    NaN   \n",
       "161  12.770  11.770  11.48     NaN     NaN     NaN NaN  12.26  11.38  10.96   \n",
       "162   9.200   8.670    NaN   7.314   7.075   6.962 NaN    NaN    NaN    NaN   \n",
       "163     NaN  13.670    NaN  11.164  10.674  10.425 NaN    NaN    NaN    NaN   \n",
       "164   9.890   9.370    NaN   8.175   7.958   7.897 NaN    NaN    NaN    NaN   \n",
       "165   9.810   8.880    NaN   7.090   6.746   6.611 NaN    NaN    NaN    NaN   \n",
       "166  12.970     NaN    NaN   9.719   9.278   9.094 NaN    NaN    NaN    NaN   \n",
       "167  12.000  12.150    NaN   9.600   9.030   8.789 NaN    NaN    NaN    NaN   \n",
       "168   8.710   8.080    NaN   6.691   6.360   6.254 NaN    NaN    NaN    NaN   \n",
       "169   7.130   6.370    NaN   4.850   4.631   4.307 NaN    NaN    NaN    NaN   \n",
       "170  13.700     NaN    NaN   9.224   8.588   8.397 NaN    NaN    NaN    NaN   \n",
       "171  13.540     NaN    NaN  10.012   9.528   9.353 NaN    NaN    NaN    NaN   \n",
       "172   8.340   7.730    NaN   6.314   6.004   5.873 NaN    NaN    NaN    NaN   \n",
       "173   8.780   7.910    NaN   6.070   5.654   5.453 NaN    NaN    NaN    NaN   \n",
       "174   7.480   6.590    NaN   5.266   4.980   4.781 NaN    NaN    NaN    NaN   \n",
       "175   8.330   7.470    NaN   5.694   5.273   5.122 NaN    NaN    NaN    NaN   \n",
       "176   7.530   6.690    NaN   5.230   4.795   4.572 NaN    NaN    NaN    NaN   \n",
       "177   7.810   6.680    NaN   4.550   4.130   4.000 NaN    NaN    NaN    NaN   \n",
       "178  10.740   9.810    NaN   7.173   6.697   6.562 NaN    NaN    NaN    NaN   \n",
       "179  11.200   9.690    NaN   6.482   5.852   5.589 NaN    NaN    NaN    NaN   \n",
       "180   7.610   6.210    NaN   3.370   2.850   2.680 NaN    NaN    NaN    NaN   \n",
       "181   8.730   7.810    NaN   6.082   5.746   5.627 NaN    NaN    NaN    NaN   \n",
       "182   8.880   7.790    NaN   5.565   5.138   4.904 NaN    NaN    NaN    NaN   \n",
       "183  11.930  10.930    NaN   8.220   7.751   7.492 NaN    NaN    NaN    NaN   \n",
       "184  13.070  11.000    NaN   7.377   6.802   6.492 NaN    NaN    NaN    NaN   \n",
       "185  12.370  11.090    NaN     NaN     NaN     NaN NaN    NaN    NaN    NaN   \n",
       "186   7.860   6.500    NaN   4.670   4.448   4.206 NaN    NaN    NaN    NaN   \n",
       "187   9.920   7.920    NaN   5.735   5.333   5.139 NaN    NaN    NaN    NaN   \n",
       "188   9.580   7.960    NaN   6.067   5.556   5.327 NaN    NaN    NaN    NaN   \n",
       "189  10.960  10.090    NaN   8.278   7.902   7.820 NaN    NaN    NaN    NaN   \n",
       "190     NaN     NaN    NaN   9.795   9.225   9.029 NaN    NaN    NaN    NaN   \n",
       "191  11.450  10.090    NaN   6.876   6.366   6.146 NaN    NaN    NaN    NaN   \n",
       "192   9.050   7.890    NaN   5.790   5.257   5.029 NaN    NaN    NaN    NaN   \n",
       "193  12.220  10.860    NaN   7.561   6.947   6.723 NaN    NaN    NaN    NaN   \n",
       "194  11.100  10.020    NaN   8.083   7.649   7.508 NaN    NaN    NaN    NaN   \n",
       "195   6.081   5.353    NaN   4.030   3.740   3.520 NaN    NaN    NaN    NaN   \n",
       "196   9.690   8.570    NaN   7.025   6.727   6.600 NaN    NaN    NaN    NaN   \n",
       "197  10.460   9.420   8.80   7.410   6.897   6.686 NaN    NaN    NaN    NaN   \n",
       "198  10.690   9.490    NaN   6.960   6.440   6.171 NaN    NaN    NaN    NaN   \n",
       "199   9.070   8.290    NaN   6.857   6.533   6.404 NaN    NaN    NaN    NaN   \n",
       "200   9.683   9.347   9.47   7.283   6.974   6.910 NaN    NaN    NaN    NaN   \n",
       "201  11.050  10.350    NaN   8.285   7.941   7.804 NaN    NaN    NaN    NaN   \n",
       "202  10.100   9.090    NaN   7.142   6.720   6.571 NaN    NaN    NaN    NaN   \n",
       "203  10.220   9.380    NaN   7.569   7.221   7.079 NaN    NaN    NaN    NaN   \n",
       "204   9.730   8.840    NaN   7.244   6.811   6.620 NaN    NaN    NaN    NaN   \n",
       "205  11.150  10.200    NaN   8.126   7.698   7.528 NaN    NaN    NaN    NaN   \n",
       "206  10.330   9.470    NaN   7.285   6.859   6.672 NaN    NaN    NaN    NaN   \n",
       "207   9.110   8.240    NaN   6.306   5.949   5.787 NaN    NaN    NaN    NaN   \n",
       "208  10.460   9.420   9.53   7.285   6.788   6.578 NaN    NaN    NaN    NaN   \n",
       "209  11.770  10.740    NaN   8.413   7.952   7.808 NaN    NaN    NaN    NaN   \n",
       "210   8.140   7.310    NaN   5.673   5.330   5.176 NaN    NaN    NaN    NaN   \n",
       "211  11.240  10.250    NaN   7.855   7.344   7.137 NaN    NaN    NaN    NaN   \n",
       "212  12.460  11.240    NaN   8.786   8.295   8.071 NaN    NaN    NaN    NaN   \n",
       "213  11.500  10.400    NaN   7.512   7.103   6.887 NaN    NaN    NaN    NaN   \n",
       "214  11.490  10.720    NaN   8.872   8.509   8.398 NaN    NaN    NaN    NaN   \n",
       "215  12.470  11.550    NaN   8.270   7.701   7.528 NaN    NaN    NaN    NaN   \n",
       "216     NaN     NaN    NaN   8.442   7.906   7.665 NaN    NaN    NaN    NaN   \n",
       "217  10.500   9.250    NaN   6.440   5.947   5.732 NaN    NaN    NaN    NaN   \n",
       "218   8.820   7.690    NaN   5.529   5.085   4.875 NaN    NaN    NaN    NaN   \n",
       "219  10.890   9.690    NaN   7.215   6.681   6.484 NaN    NaN    NaN    NaN   \n",
       "220   9.190   8.330    NaN   6.540   6.110   5.946 NaN    NaN    NaN    NaN   \n",
       "221  10.500   9.540    NaN   7.602   7.119   6.966 NaN    NaN    NaN    NaN   \n",
       "222  11.040  10.190    NaN   8.339   7.947   7.772 NaN    NaN    NaN    NaN   \n",
       "223   9.600   8.300    NaN   7.335   6.957   6.767 NaN    NaN    NaN    NaN   \n",
       "224   9.220   8.410    NaN   7.267   6.983   6.836 NaN    NaN    NaN    NaN   \n",
       "225   9.740   8.810    NaN   6.778   6.454   6.279 NaN    NaN    NaN    NaN   \n",
       "226  10.990  10.110    NaN   7.922   7.539   7.369 NaN    NaN    NaN    NaN   \n",
       "227  12.770  13.680    NaN   8.862   8.195   8.022 NaN    NaN    NaN    NaN   \n",
       "228   8.830   7.900    NaN   6.266   5.930   5.795 NaN    NaN    NaN    NaN   \n",
       "229   9.920   9.040   8.61   7.188   6.872   6.668 NaN    NaN    NaN    NaN   \n",
       "230  10.700   9.640    NaN   7.505   6.965   6.791 NaN    NaN    NaN    NaN   \n",
       "231  10.670   9.890    NaN   7.869   7.496   7.363 NaN    NaN    NaN    NaN   \n",
       "232  10.110   8.670    NaN   6.295   5.740   5.507 NaN    NaN    NaN    NaN   \n",
       "233  12.760  11.380    NaN   9.113   8.767   8.612 NaN    NaN    NaN    NaN   \n",
       "234   7.210   6.110    NaN   4.430   3.940   3.790 NaN    NaN    NaN    NaN   \n",
       "235  10.550   9.680    NaN   7.758   7.425   7.275 NaN    NaN    NaN    NaN   \n",
       "236   7.590   6.790    NaN   5.264   4.969   4.812 NaN    NaN    NaN    NaN   \n",
       "237  12.620  11.530    NaN   8.418   7.880   7.583 NaN    NaN    NaN    NaN   \n",
       "238   7.700   6.870    NaN   5.605   5.067   4.864 NaN    NaN    NaN    NaN   \n",
       "239   8.730   7.910    NaN   6.251   5.846   5.655 NaN    NaN    NaN    NaN   \n",
       "240   8.750   8.160    NaN   6.802   6.573   6.477 NaN    NaN    NaN    NaN   \n",
       "241   9.360   8.620    NaN   7.102   6.870   6.706 NaN    NaN    NaN    NaN   \n",
       "242  12.000  10.640    NaN   8.284   7.747   7.548 NaN    NaN    NaN    NaN   \n",
       "243   9.710   7.860    NaN   5.533   5.226   4.806 NaN    NaN    NaN    NaN   \n",
       "244   9.930   9.260    NaN   8.048   7.667   7.562 NaN    NaN    NaN    NaN   \n",
       "245   6.320   5.680    NaN   4.452   4.151   4.109 NaN    NaN    NaN    NaN   \n",
       "246   8.780   8.160    NaN   6.815   6.429   6.403 NaN    NaN    NaN    NaN   \n",
       "247   6.350   5.760    NaN   4.788   4.424   4.296 NaN    NaN    NaN    NaN   \n",
       "248   8.920   7.680    NaN   6.112   5.792   5.637 NaN    NaN    NaN    NaN   \n",
       "249   8.507   7.260    NaN   5.022   4.471   4.321 NaN    NaN    NaN    NaN   \n",
       "250  11.000     NaN    NaN   9.037   8.426   8.255 NaN    NaN    NaN    NaN   \n",
       "251   8.830   8.070    NaN   6.289   5.963   5.866 NaN    NaN    NaN    NaN   \n",
       "252   8.000   6.700    NaN   4.440   3.940   3.710 NaN    NaN    NaN    NaN   \n",
       "253  10.330   9.460   9.56   7.221   6.806   6.605 NaN   9.88   9.27   8.50   \n",
       "254   9.990   9.090    NaN   7.032   6.710   6.539 NaN    NaN    NaN    NaN   \n",
       "255  10.810   9.990    NaN   7.661   7.243   7.046 NaN    NaN    NaN    NaN   \n",
       "256   9.580   9.180   9.16   7.124   6.819   6.675 NaN   9.66   8.96   8.11   \n",
       "257   7.190   6.410    NaN   4.948   4.780   4.594 NaN    NaN    NaN    NaN   \n",
       "258   8.610   7.800    NaN   6.307   6.020   5.880 NaN    NaN    NaN    NaN   \n",
       "259   6.960   6.390    NaN   5.340   5.012   4.849 NaN    NaN    NaN    NaN   \n",
       "260   8.430   7.890    NaN   6.542   6.351   6.286 NaN    NaN    NaN    NaN   \n",
       "261   7.490   6.490    NaN   4.868   4.504   4.216 NaN    NaN    NaN    NaN   \n",
       "262   8.290   7.440    NaN   5.580   5.231   5.107 NaN    NaN    NaN    NaN   \n",
       "263   7.110   6.330    NaN   4.900   4.642   4.469 NaN    NaN    NaN    NaN   \n",
       "264   7.010   6.170    NaN   4.490   4.160   4.037 NaN    NaN    NaN    NaN   \n",
       "265   7.190   6.490    NaN   5.216   4.939   4.682 NaN    NaN    NaN    NaN   \n",
       "266   9.630   8.540   8.93   6.379   5.947   5.777 NaN    NaN    NaN    NaN   \n",
       "267   8.440   7.690    NaN   6.057   5.723   5.623 NaN    NaN    NaN    NaN   \n",
       "268   8.720   7.300    NaN   5.848   5.525   5.388 NaN    NaN    NaN    NaN   \n",
       "269   6.660   5.960    NaN   4.246   3.851   3.756 NaN    NaN    NaN    NaN   \n",
       "270   8.120   7.520    NaN   5.840   5.577   5.441 NaN    NaN    NaN    NaN   \n",
       "271   7.740   6.770    NaN   4.932   4.623   4.355 NaN    NaN    NaN    NaN   \n",
       "272   7.840   6.930    NaN   5.179   4.997   4.644 NaN    NaN    NaN    NaN   \n",
       "273   7.990   7.260    NaN   5.719   5.439   5.241 NaN    NaN    NaN    NaN   \n",
       "274   8.188   7.167    NaN     NaN     NaN     NaN NaN    NaN    NaN    NaN   \n",
       "275  11.100   9.870    NaN   6.916   6.349   6.131 NaN    NaN    NaN    NaN   \n",
       "276   7.420   6.570    NaN   4.928   4.624   4.441 NaN    NaN    NaN    NaN   \n",
       "277  11.030  10.000    NaN   7.379   6.996   6.812 NaN    NaN    NaN    NaN   \n",
       "278  12.190  11.070    NaN   8.104   7.632   7.365 NaN    NaN    NaN    NaN   \n",
       "279   6.190   5.530    NaN   4.159   3.839   3.862 NaN    NaN    NaN    NaN   \n",
       "280   9.050   8.265    NaN   6.629   6.368   6.256 NaN    NaN    NaN    NaN   \n",
       "281   8.970   8.100    NaN   6.578   6.143   5.952 NaN    NaN    NaN    NaN   \n",
       "282   7.340   6.580    NaN   5.007   4.695   4.562 NaN    NaN    NaN    NaN   \n",
       "\n",
       "      z   angDist       solution_id_2          source_id_2          pf  \\\n",
       "0   NaN  0.059307  369295549951641967  3031875585286182144    6.994835   \n",
       "1   NaN  0.011190  369295551293819386  3113441691460573312    7.097477   \n",
       "2   NaN  0.012465  369295551293819386  3127458403130026112    4.134226   \n",
       "3   NaN  0.020616  369295551293819386  3133819112256378368         NaN   \n",
       "4   NaN  0.011840  369295551293819386  3330259852538068608    2.671489   \n",
       "5   NaN  0.045834  369295551293819386  3356119713188276096         NaN   \n",
       "6   NaN  0.021132  369295551293819386  3378049163365268608    1.895002   \n",
       "7   NaN  0.038344  369295551293819386  4056026175045038464  175.641975   \n",
       "8   NaN  0.018141  369295551293819386  4094784475310672128   21.834096   \n",
       "9   NaN  0.006017  369295551293819386  4096979650282842112   12.729174   \n",
       "10  NaN  0.034575  369295551293819386  4253435825622331392   12.910581   \n",
       "11  NaN  0.040753  369295549951641967  5596601154188852352   13.670105   \n",
       "12  NaN  0.064107  369295549951641967  5597327141100381568   14.157350   \n",
       "13  NaN  0.055612  369295549951641967  5597379741549105280   30.090207   \n",
       "14  NaN  0.041643  369295549951641967  5600052040150252800   23.172844   \n",
       "15  NaN  0.038259  369295549951641967  5600915775257809152   13.459792   \n",
       "16  NaN  0.045427  369295549951641967  5613165915335320192    5.815848   \n",
       "17  NaN  0.031399  369295549951641967  5613564621430610560    7.419344   \n",
       "18  NaN  0.036972  369295549951641967  5618354751226656640    3.544163   \n",
       "19  NaN  0.046889  369295549951641967  5620400182140135168    4.285432   \n",
       "20  NaN  0.059102  369295549951641967  5715183929918131968    5.516153   \n",
       "21  NaN  0.037845  369295549951641967  5884729035255064064   12.633459   \n",
       "22  NaN  0.064299  369295549951641967  5932565900081831040         NaN   \n",
       "23  NaN  0.110870  369295549951641967  5937099633141128448   20.853063   \n",
       "24  NaN  0.040483  369295549951641967  5964193485048327808   28.865095   \n",
       "25  NaN  0.021492  369295549951641967   174489098011145216    6.464663   \n",
       "26  NaN  0.009434  369295549951641967   188724234539584256   18.190761   \n",
       "27  NaN  0.009007  369295551293819386   189726984845700480    5.259434   \n",
       "28  NaN  0.018694  369295551293819386   189739251272296192    3.412716   \n",
       "29  NaN  0.029672  369295551293819386   197337185858157440    4.403447   \n",
       "30  NaN  0.005329  369295549951641967   198681686717279616    2.659634   \n",
       "31  NaN  0.007905  369295551293819386   200016111582079744    2.120608   \n",
       "32  NaN  0.053046  369295549951641967   200708636406382720   11.625703   \n",
       "33  NaN  0.026144  369295549951641967   201574982848108416   10.305726   \n",
       "34  NaN  0.010239  369295549951641967   202939854734748032    8.639252   \n",
       "35  NaN  0.088811  369295549951641967   203496585576324224   11.117315   \n",
       "36  NaN  0.003846  369295549951641967   206577210999441536         NaN   \n",
       "37  NaN  0.021278  369295549951641967   228741784865956224    4.290454   \n",
       "38  NaN  0.028415  369295549951641967   261548119462093568    8.002633   \n",
       "39  NaN  0.037781  369295549951641967   270272675510149504    4.972485   \n",
       "40  NaN  0.013358  369295549951641967   272444829450300160         NaN   \n",
       "41  NaN  0.082842  369295549951641967   279382060625871360    3.294867   \n",
       "42  NaN  0.057564  369295549951641967   394818721274314112    2.138451   \n",
       "43  NaN  0.038791  369295549951641967   422226488141991296    5.809012   \n",
       "44  NaN  0.044115  369295549951641967   422923956470923008    4.071170   \n",
       "45  NaN  0.020171  369295551293819386   423454573911964544         NaN   \n",
       "46  NaN  0.021811  369295549951641967   425324052915862912         NaN   \n",
       "47  NaN  0.025676  369295549951641967   426881614218441600    4.501624   \n",
       "48  NaN  0.045879  369295549951641967   428620663657823232    8.000656   \n",
       "49  NaN  0.044890  369295549951641967   428839329030983040         NaN   \n",
       "50  NaN  0.055193  369295549951641967   429385923752386944    4.365159   \n",
       "51  NaN  0.027613  369295549951641967   429544700100302080    6.798277   \n",
       "52  NaN  0.040115  369295549951641967   429562773322439296    3.630445   \n",
       "53  NaN  0.048082  369295549951641967   429890595286480384    4.305281   \n",
       "54  NaN  0.027870  369295549951641967   430647231080076416    3.810715   \n",
       "55  NaN  0.024685  369295549951641967   430670222050230912         NaN   \n",
       "56  NaN  0.033625  369295549951641967   430766016998901376    6.846344   \n",
       "57  NaN  0.016014  369295549951641967   457807268533229056    3.649421   \n",
       "58  NaN  0.015423  369295549951641967   458239995077788544    6.579970   \n",
       "59  NaN  0.012293  369295549951641967   459035766618689280    5.530696   \n",
       "60  NaN  0.010955  369295549951641967   459263743483634304   13.638638   \n",
       "61  NaN  0.009833  369295549951641967   462252662762965120    4.156364   \n",
       "62  NaN  0.008660  369295549951641967   462407693902385792   11.276252   \n",
       "63  NaN  0.007720  369295549951641967   465719182408723072    3.832876   \n",
       "64  NaN  0.020348  369295549951641967   467560314629168640    5.904661   \n",
       "65  NaN  0.017083  369295549951641967   470361114339849472    7.915605   \n",
       "66  NaN  0.006442  369295549951641967   470386952863752576   12.650050   \n",
       "67  NaN  0.036800  369295549951641967   473043922712140928   16.416688   \n",
       "68  NaN  0.014061  369295551293819386   473293889810320128    5.066430   \n",
       "69  NaN  0.008393  369295549951641967   486834100624652800    3.996898   \n",
       "70  NaN  0.016637  369295549951641967   505178760644698880         NaN   \n",
       "71  NaN  0.018585  369295549951641967   506581226385580288    6.206267   \n",
       "72  NaN  0.014659  369295549951641967   506602976101284736    5.604120   \n",
       "73  NaN  0.004137  369295549951641967   506699870563323264    4.565243   \n",
       "74  NaN  0.019318  369295549951641967   506779550797525760   10.877269   \n",
       "75  NaN  0.009536  369295549951641967   506923449381427968    4.007198   \n",
       "76  NaN  0.019179  369295549951641967   508915489570374272   14.792373   \n",
       "77  NaN  0.012005  369295549951641967   510584788742165760    4.277699   \n",
       "78  NaN  0.019921  369295549951641967   511226491206912128         NaN   \n",
       "79  NaN  0.007314  369295551293819386   512524361613040640    8.377013   \n",
       "80  NaN  0.012893  369295549951641967   513074186146353536    2.871507   \n",
       "81  NaN  0.022708  369295551293819386   514674933331699584         NaN   \n",
       "82  NaN  0.013212  369295549951641967   515599111517099136    5.029424   \n",
       "83  NaN  0.034216  369295549951641967   522468168674975616    4.259253   \n",
       "84  NaN  0.023006  369295551293819386   523887951723531648    5.512727   \n",
       "85  NaN  0.007349  369295549951641967   525136962570940160    6.272785   \n",
       "86  NaN  0.123390  369295549951641967  1750217486861133440    2.046828   \n",
       "87  NaN  0.081545  369295549951641967  1808020329279916288    6.108202   \n",
       "88  NaN  0.088461  369295549951641967  1820309639468685824    8.386034   \n",
       "89  NaN  0.020454  369295549951641967  1825621002188696448    7.990140   \n",
       "90  NaN  0.096832  369295549951641967  1853025642297186688         NaN   \n",
       "91  NaN  0.095666  369295549951641967  1857884212378132096    2.217211   \n",
       "92  NaN  0.130798  369295549951641967  1870258975238302208   16.390621   \n",
       "93  NaN  0.077065  369295549951641967  1873112207907294848    7.855820   \n",
       "94  NaN  0.062527  369295549951641967  1873250780732545920   20.140340   \n",
       "95  NaN  0.080764  369295549951641967  1960750328384177408    4.864382   \n",
       "96  NaN  0.082407  369295549951641967  1960981328902089088    5.331659   \n",
       "97  NaN  0.058191  369295551293819386  1964855904803120640    3.332335   \n",
       "98  NaN  0.034344  369295549951641967  1968971582984827136    5.257600   \n",
       "99  NaN  0.075976  369295549951641967  1971722045688053248         NaN   \n",
       "100 NaN  0.061672  369295549951641967  1977074811892425600    4.323553   \n",
       "101 NaN  0.085964  369295549951641967  1981006115714214912    4.639077   \n",
       "102 NaN  0.033997  369295549951641967  1998384927774603520    4.734808   \n",
       "103 NaN  0.048942  369295549951641967  1999252442448732288   12.140613   \n",
       "104 NaN  0.026671  369295549951641967  2002637323358768000   11.319164   \n",
       "105 NaN  0.055432  369295549951641967  2003938801532007808    4.983296   \n",
       "106 NaN  0.055058  369295549951641967  2004036486267748352    5.445651   \n",
       "107 NaN  0.062671  369295549951641967  2005011237689458688    4.479437   \n",
       "108 NaN  0.073768  369295549951641967  2006989121667184384    6.418959   \n",
       "109 NaN  0.073713  369295549951641967  2007201567928631296   10.884385   \n",
       "110 NaN  0.062237  369295549951641967  2007997408188526336    7.232134   \n",
       "111 NaN  0.078506  369295549951641967  2008504454839717120    6.233971   \n",
       "112 NaN  0.070882  369295549951641967  2010134274671099264    3.919210   \n",
       "113 NaN  0.064992  369295549951641967  2010285491880986112    5.440901   \n",
       "114 NaN  0.048786  369295549951641967  2011315528113463808    4.997543   \n",
       "115 NaN  0.054853  369295549951641967  2011892703004353792    4.875136   \n",
       "116 NaN  0.041122  369295549951641967  2012787293154800896    4.566151   \n",
       "117 NaN  0.031420  369295549951641967  2013029941628292352    9.805689   \n",
       "118 NaN  0.067887  369295549951641967  2014609252631258496    4.278626   \n",
       "119 NaN  0.041860  369295549951641967  2015458213056909184    4.000241   \n",
       "120 NaN  0.026927  369295549951641967  2015622212085282048    5.666169   \n",
       "121 NaN  0.025414  369295549951641967  2015820463470505600    6.296639   \n",
       "122 NaN  0.042218  369295549951641967  2016028168089215488    7.801123   \n",
       "123 NaN  0.057131  369295551293819386  2016581673416790656   15.093434   \n",
       "124 NaN  0.054048  369295549951641967  2016626856473497344   14.375138   \n",
       "125 NaN  0.066418  369295549951641967  2027263738130844288    6.320590   \n",
       "126 NaN  0.096104  369295549951641967  2027951173435143680   44.876209   \n",
       "127 NaN  0.085529  369295549951641967  2030063919381336832    7.818231   \n",
       "128 NaN  0.078096  369295549951641967  2030427789026783488   11.663040   \n",
       "129 NaN  0.111261  369295549951641967  2030848897634605440    6.961104   \n",
       "130 NaN  0.056717  369295549951641967  2031776202613700480    3.845987   \n",
       "131 NaN  0.139380  369295549951641967  2033008274099620480    4.288974   \n",
       "132 NaN  0.110117  369295549951641967  2034428980559814400    5.782899   \n",
       "133 NaN  0.063686  369295549951641967  2034684200359279488   15.003358   \n",
       "134 NaN  0.087120  369295549951641967  2045359534871088384    5.571475   \n",
       "135 NaN  0.096019  369295549951641967  2055014277739104896    5.955901   \n",
       "136 NaN  0.098956  369295549951641967  2055122987639665664    4.950448   \n",
       "137 NaN  0.091619  369295549951641967  2058374144759464064   17.073690   \n",
       "138 NaN  0.113140  369295549951641967  2059598687167348352    6.225428   \n",
       "139 NaN  0.068245  369295549951641967  2060021625508894592    4.364697   \n",
       "140 NaN  0.079703  369295549951641967  2060460704279873536    4.945241   \n",
       "141 NaN  0.110613  369295551293819386  2070224337474904064   10.147970   \n",
       "142 NaN  0.090993  369295549951641967  2071433765909167232   15.119457   \n",
       "143 NaN  0.088944  369295549951641967  2073935223599391872    3.370309   \n",
       "144 NaN  0.061129  369295549951641967  2078709577944648192    4.925493   \n",
       "145 NaN  0.036206  369295549951641967  2161786374436607616   14.717966   \n",
       "146 NaN  0.070712  369295549951641967  2164359918864249728    5.057583   \n",
       "147 NaN  0.064312  369295549951641967  2165771172070496512    7.251400   \n",
       "148 NaN  0.034337  369295551293819386  2166303099490547072    5.099551   \n",
       "149 NaN  0.056716  369295549951641967  2166861170366710272    4.049213   \n",
       "150 NaN  0.078121  369295549951641967  2198162651491732608   17.871976   \n",
       "151 NaN  0.049234  369295549951641967  2200018111723748224    3.767495   \n",
       "152 NaN  0.098246  369295549951641967  2203988169026743936         NaN   \n",
       "153 NaN  0.028174  369295551293819386  2932101334643047680    2.557780   \n",
       "154 NaN  0.028369  369295549951641967  3027940437469882880    4.256890   \n",
       "155 NaN  0.051024  369295549951641967  3046774762417915136    4.678300   \n",
       "156 NaN  0.045110  369295549951641967  3050050207554658048    8.011272   \n",
       "157 NaN  0.008130  369295549951641967  3051144427784813824    3.454034   \n",
       "158 NaN  0.013574  369295551293819386  3051692843568009600    4.788007   \n",
       "159 NaN  0.022567  369295551293819386  3052092481686246016    3.947152   \n",
       "160 NaN  0.012985  369295549951641967  3099066951319051008    4.809715   \n",
       "161 NaN  0.017672  369295551293819386  3105345570728492416         NaN   \n",
       "162 NaN  0.059946  369295551293819386  3112550812164329856         NaN   \n",
       "163 NaN  0.006944  369295551293819386  3117307814859500416    2.831178   \n",
       "164 NaN  0.013422  369295551293819386  3157950918582624256         NaN   \n",
       "165 NaN  0.017797  369295551293819386  3329849043206545920    8.614877   \n",
       "166 NaN  0.011841  369295551293819386  3344297935963515008    4.909584   \n",
       "167 NaN  0.011180  369295551293819386  3351921532976862336    4.978533   \n",
       "168 NaN  0.043266  369295551293819386  3398383973788673024         NaN   \n",
       "169 NaN  0.109909  369295549951641967  3409635486731094400         NaN   \n",
       "170 NaN  0.021812  369295551293819386  3441484760885586176    3.622803   \n",
       "171 NaN  0.025103  369295551293819386  3445039825569144192    3.782022   \n",
       "172 NaN  0.084617  369295551293819386  3451987987438434944         NaN   \n",
       "173 NaN  0.044885  369295551293819386  4054440301294394624         NaN   \n",
       "174 NaN  0.059859  369295551293819386  4066429066901946368    2.789409   \n",
       "175 NaN  0.046745  369295551293819386  4080122796947250176         NaN   \n",
       "176 NaN  0.079806  369295551293819386  4085919765884068736    5.191731   \n",
       "177 NaN  0.097033  369295551293819386  4092905375639902464    6.093326   \n",
       "178 NaN  0.023592  369295551293819386  4154536747505387648    5.612644   \n",
       "179 NaN  0.047405  369295551293819386  4156450099578283776    5.739829   \n",
       "180 NaN  0.087746  369295551293819386  4175017625462647168   17.124841   \n",
       "181 NaN  0.204748  369295549951641967  4190143160245024256    5.376680   \n",
       "182 NaN  0.083921  369295551293819386  4204653587029046400    6.806009   \n",
       "183 NaN  0.025819  369295551293819386  4253603501158148736    3.917711   \n",
       "184 NaN  0.042190  369295551293819386  4256744187345732224    3.757861   \n",
       "185 NaN  0.039253  369295551293819386  4265371574109405824    4.182775   \n",
       "186 NaN  0.070724  369295551293819386  4267397694768545920         NaN   \n",
       "187 NaN  0.039182  369295551293819386  4267549637851481344   10.602812   \n",
       "188 NaN  0.075323  369295549951641967  4269036830424588800    9.480547   \n",
       "189 NaN  0.066197  369295549951641967  4303770918113986304    6.179260   \n",
       "190 NaN  0.125705  369295551293819386  4306046593639867776    6.884410   \n",
       "191 NaN  0.041933  369295551293819386  4307944836090489600    7.239958   \n",
       "192 NaN  0.081322  369295551293819386  4312361436842603520         NaN   \n",
       "193 NaN  0.081114  369295551293819386  4313179507891570304   13.439993   \n",
       "194 NaN  0.169622  369295549951641967  4505300988492333312    6.831755   \n",
       "195 NaN  0.144658  369295549951641967  4514145288240593408         NaN   \n",
       "196 NaN  0.105670  369295549951641967  5235910694044165760    3.086133   \n",
       "197 NaN  0.096434  369295549951641967  5238808628736339584   31.448603   \n",
       "198 NaN  0.093491  369295549951641967  5240441472232302848   12.438020   \n",
       "199 NaN  0.092665  369295549951641967  5245796334347122944         NaN   \n",
       "200 NaN  0.099874  369295549951641967  5253795384546671104    5.542248   \n",
       "201 NaN  0.108191  369295549951641967  5254070090673438592    2.876475   \n",
       "202 NaN  0.103295  369295549951641967  5254097093074642944    9.197827   \n",
       "203 NaN  0.105499  369295549951641967  5254295559276699392    5.204555   \n",
       "204 NaN  0.116108  369295549951641967  5254662177677566464    9.768108   \n",
       "205 NaN  0.099200  369295549951641967  5255066591776722432    4.154210   \n",
       "206 NaN  0.126162  369295549951641967  5255220656517219840    5.346315   \n",
       "207 NaN  0.108409  369295549951641967  5255254711361371520   18.177577   \n",
       "208 NaN  0.094772  369295549951641967  5257664497238811776    7.196194   \n",
       "209 NaN  0.099141  369295551293819386  5258574068220187648    4.932552   \n",
       "210 NaN  0.073754  369295549951641967  5302258008774271488    6.696949   \n",
       "211 NaN  0.109653  369295549951641967  5307761545524640256    5.324018   \n",
       "212 NaN  0.084426  369295549951641967  5308893149150949248    5.904818   \n",
       "213 NaN  0.100193  369295549951641967  5309174967720762496    7.134312   \n",
       "214 NaN  0.083281  369295549951641967  5311598634949142400         NaN   \n",
       "215 NaN  0.090586  369295549951641967  5311616398935271168   13.239579   \n",
       "216 NaN  0.097646  369295549951641967  5312196047720402048    6.453800   \n",
       "217 NaN  0.105292  369295549951641967  5313887130948758016   11.200643   \n",
       "218 NaN  0.184575  369295549951641967  5324034867356093056    6.924363   \n",
       "219 NaN  0.101916  369295549951641967  5327836325732931840    5.859351   \n",
       "220 NaN  0.101134  369295549951641967  5329838158460391296    9.561128   \n",
       "221 NaN  0.091798  369295549951641967  5332375453374624640   11.637346   \n",
       "222 NaN  0.133792  369295549951641967  5333259323269569792    3.175263   \n",
       "223 NaN  0.105663  369295549951641967  5333340824575196800    3.334994   \n",
       "224 NaN  0.116014  369295549951641967  5334449269746243328         NaN   \n",
       "225 NaN  0.108522  369295549951641967  5334506135119058304    5.309958   \n",
       "226 NaN  0.099449  369295549951641967  5334591003669216000         NaN   \n",
       "227 NaN  0.102837  369295549951641967  5336389564126521728   12.183114   \n",
       "228 NaN  0.112634  369295549951641967  5337191279923824384    7.532001   \n",
       "229 NaN  0.108829  369295549951641967  5337634589276921856    5.725484   \n",
       "230 NaN  0.074873  369295549951641967  5337764640889249536   10.709600   \n",
       "231 NaN  0.092810  369295549951641967  5338024572321721216    4.266183   \n",
       "232 NaN  0.119092  369295549951641967  5338036117182452096   16.659975   \n",
       "233 NaN  0.120761  369295549951641967  5338207327417387520    4.674164   \n",
       "234 NaN  0.098407  369295549951641967  5338359442320395904   38.717914   \n",
       "235 NaN  0.094302  369295549951641967  5338438297925480320    4.677665   \n",
       "236 NaN  0.154547  369295549951641967  5339394082770287232    7.720813   \n",
       "237 NaN  0.113598  369295549951641967  5350852677538959104   13.454930   \n",
       "238 NaN  0.103728  369295549951641967  5351161399785606016   18.873022   \n",
       "239 NaN  0.119116  369295549951641967  5351331755370445056   14.107121   \n",
       "240 NaN  0.145223  369295549951641967  5351428787262634624         NaN   \n",
       "241 NaN  0.115075  369295549951641967  5351721738384434048    3.682210   \n",
       "242 NaN  0.130953  369295549951641967  5352181712213705856    6.984766   \n",
       "243 NaN  0.125020  369295549951641967  5355057622305532928   28.166159   \n",
       "244 NaN  0.141032  369295549951641967  5436296928693979392    5.898395   \n",
       "245 NaN  0.103389  369295551293819386  5506374096132016512    5.692962   \n",
       "246 NaN  0.162772  369295549951641967  5519196703818908800    3.672245   \n",
       "247 NaN  0.125172  369295549951641967  5519380077440172672         NaN   \n",
       "248 NaN  0.122748  369295549951641967  5521459979795304320    4.639849   \n",
       "249 NaN  0.114107  369295549951641967  5523162573544337408   20.497635   \n",
       "250 NaN  0.056546  369295549951641967  5537860123428416640   15.558211   \n",
       "251 NaN  0.091372  369295549951641967  5541507237862358912    6.664229   \n",
       "252 NaN  0.069968  369295549951641967  5546476927338700416   41.464114   \n",
       "253 NaN  0.073345  369295549951641967  5613541295473114496         NaN   \n",
       "254 NaN  0.050468  369295549951641967  5613972681993587200    8.934224   \n",
       "255 NaN  0.060092  369295549951641967  5614312705966204288   13.598920   \n",
       "256 NaN  0.064423  369295549951641967  5711201189563596416         NaN   \n",
       "257 NaN  0.055675  369295549951641967  5823134325151372032    6.316626   \n",
       "258 NaN  0.142553  369295549951641967  5824226655600824704         NaN   \n",
       "259 NaN  0.151320  369295549951641967  5824464493705913472    3.389323   \n",
       "260 NaN  0.048248  369295549951641967  5829232354047904256    2.567202   \n",
       "261 NaN  0.041681  369295549951641967  5835124087174043136    9.753759   \n",
       "262 NaN  0.061922  369295549951641967  5848500161483878400         NaN   \n",
       "263 NaN  0.072692  369295549951641967  5855468247702904704    7.510276   \n",
       "264 NaN  0.126924  369295549951641967  5855852527008107008    9.658900   \n",
       "265 NaN  0.095889  369295549951641967  5868451040512196224    5.622828   \n",
       "266 NaN  0.093384  369295549951641967  5868480143187802240    6.459751   \n",
       "267 NaN  0.093988  369295549951641967  5871738271033526016    5.078903   \n",
       "268 NaN  0.064724  369295549951641967  5871922507947292032   10.949466   \n",
       "269 NaN  0.108421  369295549951641967  5873984023533350400    5.275967   \n",
       "270 NaN  0.102862  369295549951641967  5877460679352962048         NaN   \n",
       "271 NaN  0.065676  369295549951641967  5877533315817003648    7.066260   \n",
       "272 NaN  0.147361  369295549951641967  5891675303053080704    5.494570   \n",
       "273 NaN  0.025492  369295551293819386  5960623272099513856         NaN   \n",
       "274 NaN  0.076223  369295549951641967  6026412893938675712   14.597656   \n",
       "275 NaN  0.063397  369295549951641967  6053622679932061056    5.265672   \n",
       "276 NaN  0.169056  369295549951641967  6054829806275577216    6.732870   \n",
       "277 NaN  0.054283  369295549951641967  6055722403534963840    4.424524   \n",
       "278 NaN  0.083221  369295549951641967  6057514092119497472    6.397262   \n",
       "279 NaN  0.206737  369295551293819386  6058439910929477120    3.342477   \n",
       "280 NaN  0.074449  369295549951641967  6059635702888301952    3.838340   \n",
       "281 NaN  0.090312  369295549951641967  6059764002146656128    6.220398   \n",
       "282 NaN  0.159410  369295549951641967  6060173364061645696    4.689715   \n",
       "\n",
       "     pf_error      p1_o  p1_o_error     p2_o  p2_o_error  p3_o  p3_o_error  \\\n",
       "0    0.000034       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "1    0.000063       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "2    0.000011       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "3         NaN  2.704666    0.000017      NaN         NaN   NaN         NaN   \n",
       "4    0.000012       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "5         NaN  3.136320    0.000018      NaN         NaN   NaN         NaN   \n",
       "6    0.000002       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "7    0.097717       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "8    0.001353       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "9    0.000179       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "10   0.000142       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "11   0.000219       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "12   0.000267       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "13   0.001012       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "14   0.000134       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "15   0.000263       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "16   0.000049       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "17   0.000053       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "18   0.000005       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "19   0.000011       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "20   0.000019       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "21   0.000179       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "22        NaN  3.786777    0.000017      NaN         NaN   NaN         NaN   \n",
       "23   0.000285       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "24   0.001142       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "25   0.000190       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "26   0.001081       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "27   0.000062       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "28   0.000008       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "29   0.000008       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "30   0.000007       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "31   0.000002       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "32   0.000111       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "33   0.000124       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "34   0.000320       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "35   0.000163       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "36        NaN  1.448466    0.000001      NaN         NaN   NaN         NaN   \n",
       "37   0.000010       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "38   0.000023       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "39   0.000010       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "40        NaN  2.619513    0.000002      NaN         NaN   NaN         NaN   \n",
       "41   0.000008       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "42   0.000002       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "43   0.000014       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "44   0.000003       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "45        NaN  2.499592    0.000001      NaN         NaN   NaN         NaN   \n",
       "46        NaN  2.823216    0.000005      NaN         NaN   NaN         NaN   \n",
       "47   0.000012       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "48   0.000033       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "49        NaN  4.306485    0.000026      NaN         NaN   NaN         NaN   \n",
       "50   0.000020       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "51   0.000025       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "52   0.000008       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "53   0.000015       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "54   0.000016       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "55        NaN  7.896893    0.000756  6.24022    0.000021   NaN         NaN   \n",
       "56   0.000078       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "57   0.000038       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "58   0.000090       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "59   0.000038       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "60   0.000265       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "61   0.000013  2.949602    0.000065      NaN         NaN   NaN         NaN   \n",
       "62   0.000069       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "63   0.000009       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "64   0.000012       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "65   0.000048       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "66   0.000310       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "67   0.000333       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "68   0.000017       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "69   0.000012       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "70        NaN  3.297002    0.000007      NaN         NaN   NaN         NaN   \n",
       "71   0.000013       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "72   0.000006       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "73   0.000023       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "74   0.000237       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "75   0.000013       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "76   0.000176       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "77   0.000016       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "78        NaN  3.222838    0.000012      NaN         NaN   NaN         NaN   \n",
       "79   0.000123       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "80   0.000007       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "81        NaN  4.037895    0.000012      NaN         NaN   NaN         NaN   \n",
       "82   0.000008       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "83   0.000019       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "84   0.000019       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "85   0.000061       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "86   0.000003       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "87   0.000030       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "88   0.001020       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "89   0.000068       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "90        NaN  2.499301    0.000022      NaN         NaN   NaN         NaN   \n",
       "91   0.000019       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "92   0.000279       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "93   0.000033       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "94   0.000356       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "95   0.000016       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "96   0.000007       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "97   0.000106       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "98   0.000022       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "99        NaN  3.283914    0.000060      NaN         NaN   NaN         NaN   \n",
       "100  0.000024       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "101  0.000044       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "102  0.000013       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "103  0.000109       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "104  0.000102       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "105  0.000022       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "106  0.000044       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "107  0.000014       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "108  0.000022       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "109  0.000091       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "110  0.000065       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "111  0.000057       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "112  0.000019       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "113  0.000014       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "114  0.000018       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "115  0.000014       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "116  0.000021       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "117  0.000071       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "118  0.000021       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "119  0.000008       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "120  0.000028       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "121  0.000047       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "122  0.000046       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "123  0.000226       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "124  0.000211       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "125  0.000065       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "126  0.001211       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "127  0.000077       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "128  0.000199       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "129  0.000072       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "130  0.000017       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "131  0.000006       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "132  0.000064       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "133  0.000113       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "134  0.000061       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "135  0.000069       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "136  0.000031       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "137  0.000545       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "138  0.000052       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "139  0.000013       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "140  0.000026       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "141  0.000175       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "142  0.000152       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "143  0.000028       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "144  0.000018       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "145  0.001270       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "146  0.000024       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "147  0.000022       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "148  0.000103       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "149  0.000014       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "150  0.000199       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "151  0.000016       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "152       NaN  2.114133    0.000004      NaN         NaN   NaN         NaN   \n",
       "153  0.000004       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "154  0.000016       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "155  0.000022       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "156  0.000070       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "157  0.000012       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "158  0.000012       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "159  0.000006       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "160  0.000038       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "161       NaN  2.774746    0.000019      NaN         NaN   NaN         NaN   \n",
       "162       NaN  2.674923    0.000017      NaN         NaN   NaN         NaN   \n",
       "163  0.000019       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "164       NaN  2.398148    0.000006      NaN         NaN   NaN         NaN   \n",
       "165  0.000252       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "166  0.000025       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "167  0.000029       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "168       NaN  2.102399    0.000012      NaN         NaN   NaN         NaN   \n",
       "169       NaN  3.148354    0.000017      NaN         NaN   NaN         NaN   \n",
       "170  0.000021       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "171  0.000009       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "172       NaN  1.782988    0.000006      NaN         NaN   NaN         NaN   \n",
       "173       NaN  1.508826    0.000003      NaN         NaN   NaN         NaN   \n",
       "174  0.000005       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "175       NaN  2.852066    0.000013      NaN         NaN   NaN         NaN   \n",
       "176  0.000052       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "177  0.000052       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "178  0.000031       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "179  0.000128       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "180  0.002846       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "181  0.000040       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "182  0.000099       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "183  0.000022       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "184  0.000017       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "185  0.000086  2.988056    0.000059      NaN         NaN   NaN         NaN   \n",
       "186       NaN  2.258614    0.000002      NaN         NaN   NaN         NaN   \n",
       "187  0.000091       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "188  0.000140       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "189  0.000026       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "190  0.000018       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "191  0.000092       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "192       NaN  1.982445    0.000007      NaN         NaN   NaN         NaN   \n",
       "193  0.000215       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "194  0.000082       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "195       NaN  4.471146    0.000176      NaN         NaN   NaN         NaN   \n",
       "196  0.000007       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "197  0.000330       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "198  0.000084       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "199       NaN  2.063439    0.000009      NaN         NaN   NaN         NaN   \n",
       "200  0.000022       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "201  0.000010  2.034831    0.000018      NaN         NaN   NaN         NaN   \n",
       "202  0.000073       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "203  0.000007       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "204  0.000105       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "205  0.000045       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "206  0.000022       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "207  0.000468       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "208  0.000031       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "209  0.000055       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "210  0.000015       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "211  0.000026       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "212  0.000029       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "213  0.000027       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "214       NaN  2.481647    0.000006      NaN         NaN   NaN         NaN   \n",
       "215  0.000758       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "216  0.000065       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "217  0.000133       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "218  0.000048       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "219  0.000013       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "220  0.000443       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "221  0.000043       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "222  0.000007       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "223  0.000007  2.355877    0.000017      NaN         NaN   NaN         NaN   \n",
       "224       NaN  3.211825    0.000014      NaN         NaN   NaN         NaN   \n",
       "225  0.000013       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "226       NaN  3.997645    0.000011      NaN         NaN   NaN         NaN   \n",
       "227  0.000084       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "228  0.000137       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "229  0.000038       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "230  0.000061       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "231  0.000008       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "232  0.000208       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "233  0.000011       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "234  0.001595       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "235  0.000021       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "236  0.000048       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "237  0.000162       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "238  0.000165       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "239  0.000106       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "240       NaN  3.639966    0.000010      NaN         NaN   NaN         NaN   \n",
       "241  0.000006       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "242  0.000036       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "243  0.000386       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "244  0.000017       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "245  0.000682       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "246  0.000045  2.592817    0.000119      NaN         NaN   NaN         NaN   \n",
       "247       NaN  4.226461    0.000121      NaN         NaN   NaN         NaN   \n",
       "248  0.000018       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "249  0.000369       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "250  0.000219       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "251  0.000103       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "252  0.000998       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "253       NaN  3.126527    0.000009      NaN         NaN   NaN         NaN   \n",
       "254  0.000030       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "255  0.000118       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "256       NaN  4.861031    0.000041      NaN         NaN   NaN         NaN   \n",
       "257  0.000111       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "258       NaN  2.428287    0.000008      NaN         NaN   NaN         NaN   \n",
       "259  0.000006       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "260  0.000006       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "261  0.000088       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "262       NaN  3.065255    0.000008      NaN         NaN   NaN         NaN   \n",
       "263  0.000053       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "264  0.000134       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "265  0.000045       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "266  0.000033       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "267  0.000008       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "268  0.000106       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "269  0.000153       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "270       NaN  2.398121    0.000005      NaN         NaN   NaN         NaN   \n",
       "271  0.000068       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "272  0.000023       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "273       NaN  3.380197    0.000025      NaN         NaN   NaN         NaN   \n",
       "274  0.000085       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "275  0.000025       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "276  0.000054       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "277  0.000011       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "278  0.000075       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "279  0.000136       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "280  0.000008       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "281  0.000019       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "282  0.000010       NaN         NaN      NaN         NaN   NaN         NaN   \n",
       "\n",
       "         epoch_g  epoch_g_error     epoch_bp  epoch_bp_error     epoch_rp  \\\n",
       "0    1706.514677       0.000048  1706.443786        0.000048  1706.484970   \n",
       "1    1706.701096       0.000090  1706.608996        0.000090  1700.284297   \n",
       "2    1709.209912       0.000015  1709.244337        0.000015  1709.335863   \n",
       "3    1712.245165       0.000025  1747.362596        0.000025  1747.623029   \n",
       "4    1711.792684       0.000018  1711.612231        0.000018  1711.698727   \n",
       "5    1710.117014       0.000025  1710.146155        0.000025  1710.176169   \n",
       "6    1711.917938       0.000003  1711.904891        0.000003  1711.836442   \n",
       "7    1350.588074       0.138193  1320.001562        0.138193  1343.369822   \n",
       "8    1659.045640       0.001913  1660.488787        0.001913  1659.631458   \n",
       "9    1682.087632       0.000254  1682.226853        0.000254  1682.485679   \n",
       "10   1681.476257       0.000201  1693.679740        0.000201  1723.251980   \n",
       "11   1730.799517       0.000310  1730.660415        0.000310  1732.308825   \n",
       "12   1725.903234       0.000378  1725.738177        0.000378  1726.095193   \n",
       "13   1686.974097       0.001432  1687.041940        0.001432  1687.686214   \n",
       "14   1707.716650       0.000189  1708.583451        0.000189  1707.641426   \n",
       "15   1728.119217       0.000372  1728.366310        0.000372  1728.723263   \n",
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       "18   1752.404057       0.000006  1752.355161        0.000006  1752.390566   \n",
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       "28   1704.072762       0.000011  1704.436215        0.000011  1704.082328   \n",
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       "177  1700.851656       0.000073  1701.131003        0.000073  1700.517295   \n",
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       "180  1714.863770       0.004025  1714.124990        0.004025  1714.346872   \n",
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       "186  1751.602008       0.000003  1751.545097        0.000003  1751.567972   \n",
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       "188  1699.145590       0.000198  1699.115338        0.000198  1700.199323   \n",
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       "190  1708.934662       0.000025  1708.901599        0.000025  1708.863837   \n",
       "191  1706.740754       0.000131  1706.698017        0.000131  1858.823018   \n",
       "192  1754.687479       0.000010  1754.663445        0.000010  1754.247872   \n",
       "193  1685.407427       0.000303  1685.212341        0.000303  1685.646449   \n",
       "194  1706.330840       0.000116  1706.202467        0.000116  1706.722538   \n",
       "195  1750.028472       0.000250  1749.970727        0.000250  1749.993661   \n",
       "196  1690.538185       0.000010  1690.541636        0.000010  1690.593934   \n",
       "197  1661.063101       0.000466  1663.098293        0.000466  1661.238623   \n",
       "198  1661.429600       0.000119  1662.203473        0.000119  1662.620707   \n",
       "199  1690.807016       0.000013  1690.772148        0.000013  1690.704409   \n",
       "200  1679.922650       0.000032  1679.680489        0.000032  1718.528956   \n",
       "201  1689.923189       0.000005  1724.586853        0.000005  1724.642056   \n",
       "202  1713.359162       0.000104  1713.051721        0.000104  1713.465640   \n",
       "203  1681.528903       0.000010  1681.519162        0.000010  1681.712596   \n",
       "204  1673.115115       0.000149  1672.927203        0.000149  1673.516186   \n",
       "205  1723.813662       0.000064  1723.859061        0.000064  1723.859591   \n",
       "206  1681.522673       0.000031  1681.528792        0.000031  1681.665098   \n",
       "207  1654.686088       0.000662  1655.029174        0.000662  1655.344532   \n",
       "208  1672.045555       0.000044  1671.931143        0.000044  1672.089844   \n",
       "209  1682.566609       0.000078  1682.567695        0.000078  1682.624777   \n",
       "210  1656.968771       0.000021  1656.929552        0.000021  1657.096064   \n",
       "211  1671.654358       0.000036  1671.585126        0.000036  1671.607111   \n",
       "212  1666.794975       0.000041  1666.770565        0.000041  1666.871156   \n",
       "213  1661.734296       0.000038  1661.698277        0.000038  1661.859728   \n",
       "214  1668.851901       0.000008  1668.854208        0.000008  1668.896766   \n",
       "215  1639.382577       0.001072  1639.053273        0.001072  1639.698382   \n",
       "216  1661.533655       0.000092  1661.502105        0.000092  1661.539714   \n",
       "217  1639.544618       0.000189  1639.431416        0.000189  1639.585292   \n",
       "218  1649.160907       0.000067  1649.163576        0.000067  1649.368842   \n",
       "219  1715.991575       0.000019  1715.893926        0.000019  1716.050275   \n",
       "220  1706.715950       0.000627  1707.688052        0.000627  1707.796322   \n",
       "221  1699.918991       0.000060  1746.710740        0.000060  1700.257248   \n",
       "222  1689.120828       0.000009  1689.308506        0.000009  1688.970061   \n",
       "223  1690.170915       0.000008  1690.126745        0.000008  1690.200260   \n",
       "224  1688.200276       0.000020  1688.207339        0.000020  1688.237270   \n",
       "225  1685.984382       0.000019  1685.936835        0.000019  1686.032557   \n",
       "226  1687.900403       0.000015  1687.884743        0.000015  1687.993099   \n",
       "227  1669.083236       0.000119  1668.937684        0.000119  1669.170658   \n",
       "228  1680.754852       0.000194  1680.776448        0.000194  1680.920858   \n",
       "229  1680.936195       0.000053  1680.832304        0.000053  1681.006928   \n",
       "230  1670.186966       0.000086  1670.057117        0.000086  1670.354702   \n",
       "231  1687.589541       0.000012  1687.583273        0.000012  1687.641161   \n",
       "232  1658.341006       0.000293  1657.255405        0.000293  1658.384928   \n",
       "233  1684.561440       0.000015  1684.546462        0.000015  1684.588619   \n",
       "234  1652.176325       0.002256  1651.255138        0.002256  1617.057366   \n",
       "235  1722.728876       0.000029  1722.745045        0.000029  1722.777435   \n",
       "236  1713.682985       0.000068  1713.596882        0.000068  1713.656564   \n",
       "237  1657.972354       0.000229  1657.561913        0.000229  1657.660281   \n",
       "238  1684.488484       0.000234  1684.438739        0.000234  1685.134266   \n",
       "239  1665.186236       0.000151  1737.333864        0.000151  1653.617921   \n",
       "240  1684.757550       0.000015  1684.812933        0.000015  1684.891687   \n",
       "241  1684.946898       0.000009  1684.943783        0.000009  1684.973297   \n",
       "242  1678.686912       0.000051  1678.493525        0.000051  1678.499196   \n",
       "243  1620.389937       0.000546  1620.363572        0.000546  1620.852729   \n",
       "244  1755.779147       0.000025  1755.731990        0.000025  1779.369647   \n",
       "245  1751.385034       0.000965  1751.061078        0.000965  1779.827281   \n",
       "246  1724.043042       0.000014  1724.048514        0.000014  1724.031562   \n",
       "247  1718.143258       0.000171  1718.174052        0.000171  1718.034831   \n",
       "248  1718.044337       0.000026  1755.188957        0.000026  1718.047959   \n",
       "249  1678.809336       0.000521  1678.253151        0.000521  1678.375818   \n",
       "250  1730.742031       0.000309  1730.675450        0.000309  1730.745119   \n",
       "251  1746.234435       0.000145  1746.101462        0.000145  1746.186369   \n",
       "252  1675.315815       0.001411  1675.899831        0.001411  1676.620681   \n",
       "253  1755.883606       0.000012  1755.890486        0.000012  1755.978673   \n",
       "254  1740.415203       0.000043  1740.487280        0.000043  1740.646541   \n",
       "255  1728.510085       0.000168  1728.447731        0.000168  1728.948770   \n",
       "256  1784.840543       0.000057  1784.791381        0.000057  1784.900000   \n",
       "257  1687.965319       0.000158  1687.366307        0.000158  1687.275726   \n",
       "258  1732.512258       0.000012  1732.505653        0.000012  1732.498045   \n",
       "259  1695.661460       0.000008  1695.682191        0.000008  1695.681943   \n",
       "260  1698.106460       0.000008  1698.164054        0.000008  1698.199555   \n",
       "261  1677.802089       0.000125  1677.251660        0.000125  1678.491023   \n",
       "262  1693.957076       0.000011  1693.945493        0.000011  1693.979349   \n",
       "263  1715.685208       0.000075  1715.749304        0.000075  1678.631492   \n",
       "264  1670.665382       0.000189  1670.762508        0.000189  1679.519340   \n",
       "265  1722.326272       0.000064  1688.576084        0.000064  1767.878459   \n",
       "266  1683.022552       0.000047  1682.957827        0.000047  1721.968590   \n",
       "267  1690.702702       0.000011  1690.683339        0.000011  1721.243430   \n",
       "268  1707.638109       0.000150  1806.186396        0.000150  1707.790603   \n",
       "269  1690.745195       0.000216  1690.815783        0.000216  1690.767446   \n",
       "270  1697.026303       0.000007  1697.002653        0.000007  1697.198130   \n",
       "271  1687.404538       0.000096  1687.341604        0.000096  1687.315913   \n",
       "272  1725.309319       0.000032  1725.220769        0.000032  1725.462303   \n",
       "273  1703.941442       0.000035  1703.873522        0.000035  1702.598916   \n",
       "274  1711.280407       0.000120  1841.236550        0.000120  1841.028974   \n",
       "275  1687.000456       0.000036  1686.959992        0.000036  1687.003254   \n",
       "276  1718.166306       0.000076  1718.164669        0.000076  1718.308972   \n",
       "277  1688.661452       0.000016  1688.639635        0.000016  1688.826040   \n",
       "278  1760.579816       0.000106  1760.595384        0.000106  1760.928405   \n",
       "279  1768.856699       0.000192  1691.844231        0.000192  1691.792309   \n",
       "280  1691.295042       0.000011  1691.233562        0.000011  1691.313921   \n",
       "281  1686.678358       0.000027  1686.629172        0.000027  1686.790105   \n",
       "282  1724.146376       0.000014  1686.619990        0.000014  1686.705341   \n",
       "\n",
       "     epoch_rp_error  int_average_g  int_average_g_error  int_average_bp  \\\n",
       "0          0.000048       9.235820             0.000202        9.819659   \n",
       "1          0.000090      11.973897             0.000289       12.827943   \n",
       "2          0.000015      10.207899             0.000272       10.716827   \n",
       "3          0.000025      10.133045             0.000462       10.860105   \n",
       "4          0.000018      11.075409             0.000267       11.640805   \n",
       "5          0.000025      10.385481             0.000156       10.978445   \n",
       "6          0.000003       9.698205             0.000943       10.102971   \n",
       "7          0.138193       8.244860             0.000520        9.078942   \n",
       "8          0.001913       7.483730             0.000867        8.426661   \n",
       "9          0.000254       8.411258             0.000262        9.075621   \n",
       "10         0.000201       9.095620             0.000263        9.919589   \n",
       "11         0.000310       9.487538             0.000257       10.230196   \n",
       "12         0.000378       9.985326             0.000239       10.740812   \n",
       "13         0.001432       8.124128             0.000211        8.997675   \n",
       "14         0.000189       9.217181             0.000202        9.947791   \n",
       "15         0.000372      11.494010             0.000867       12.362893   \n",
       "16         0.000069      11.447279             0.000252       12.327200   \n",
       "17         0.000075      12.696842             0.000136       13.616237   \n",
       "18         0.000006      13.260380             0.000120       14.119955   \n",
       "19         0.000015      10.954652             0.000148       11.648421   \n",
       "20         0.000027      10.269299             0.000138       10.823578   \n",
       "21         0.000253       8.965303             0.000602        9.866003   \n",
       "22         0.000025       8.576756             0.000072        9.099462   \n",
       "23         0.000403       9.596311             0.000142       10.513991   \n",
       "24         0.001616       8.854315             0.000274       10.110852   \n",
       "25         0.000269       7.047654             0.001088        7.734224   \n",
       "26         0.001529       9.775206             0.000481       10.656617   \n",
       "27         0.000088      11.557026             0.000861       12.332056   \n",
       "28         0.000011      12.046245             0.000635       12.929334   \n",
       "29         0.000011      11.824635             0.000323       12.431528   \n",
       "30         0.000010      13.146022             0.000375       13.877036   \n",
       "31         0.000002      13.350845             0.000159       13.946754   \n",
       "32         0.000156       7.338811             0.000149        7.938586   \n",
       "33         0.000176       9.918006             0.000169       10.666897   \n",
       "34         0.000453      11.128766             0.000623       11.874293   \n",
       "35         0.000231       8.598950             0.000138        9.234780   \n",
       "36         0.000002      11.025900             0.000259       12.006751   \n",
       "37         0.000015      10.673010             0.000254       11.409968   \n",
       "38         0.000032       9.059924             0.000232        9.694419   \n",
       "39         0.000014       9.118680             0.000168        9.986629   \n",
       "40         0.000003      11.858023             0.000100       12.740151   \n",
       "41         0.000011       7.188510             0.000082        7.810124   \n",
       "42         0.000003       7.584575             0.000091        7.932590   \n",
       "43         0.000020       8.783347             0.000090        9.370835   \n",
       "44         0.000005       9.540854             0.000174       10.138016   \n",
       "45         0.000002      14.005284             0.000055       14.572020   \n",
       "46         0.000007      13.029323             0.000076       13.548084   \n",
       "47         0.000017       9.548107             0.000065       10.212858   \n",
       "48         0.000047       8.504816             0.000180        9.229527   \n",
       "49         0.000036       8.677527             0.000091        9.371368   \n",
       "50         0.000028      10.859208             0.000267       11.525983   \n",
       "51         0.000035      13.650070             0.000484       14.600640   \n",
       "52         0.000011      11.907258             0.000124       12.735170   \n",
       "53         0.000021      12.110450             0.000101       13.078409   \n",
       "54         0.000022      11.674721             0.000184       12.529230   \n",
       "55         0.000026      11.735042             0.000179       12.724450   \n",
       "56         0.000110      10.974919             0.000293       11.869679   \n",
       "57         0.000054      11.126564             0.000337       11.837628   \n",
       "58         0.000127      10.462725             0.000166       11.492652   \n",
       "59         0.000054      10.368665             0.000218       11.467715   \n",
       "60         0.000375       9.138997             0.000159       10.110632   \n",
       "61         0.000011      11.842452             0.000177       12.871183   \n",
       "62         0.000097      11.761972             0.000179       12.885199   \n",
       "63         0.000013      10.434340             0.000086       11.137392   \n",
       "64         0.000016      11.962811             0.000074       12.780531   \n",
       "65         0.000067       7.164460             0.000167        7.920512   \n",
       "66         0.000438      10.260165             0.003166       11.187951   \n",
       "67         0.000471       8.091810             0.001865        8.940975   \n",
       "68         0.000025       9.995532             0.000178       11.165368   \n",
       "69         0.000017      12.740298             0.000089       13.792213   \n",
       "70         0.000010      12.341083             0.000318       12.816350   \n",
       "71         0.000018      10.301658             0.000094       11.014805   \n",
       "72         0.000008      13.191811             0.000071       13.921275   \n",
       "73         0.000033      11.266917             0.000327       11.937774   \n",
       "74         0.000335       8.836893             0.000494        9.575916   \n",
       "75         0.000018      12.236356             0.000126       13.072309   \n",
       "76         0.000249       8.807421             0.000172        9.077153   \n",
       "77         0.000023      11.350581             0.000154       12.359395   \n",
       "78         0.000017       9.828949             0.000155       10.655452   \n",
       "79         0.000173       6.635920             0.000069        7.463003   \n",
       "80         0.000010      11.006227             0.000160       11.840128   \n",
       "81         0.000017      10.273580             0.000338       10.959012   \n",
       "82         0.000012      11.901016             0.000089       12.754053   \n",
       "83         0.000026      10.963006             0.000280       11.636678   \n",
       "84         0.000027      11.165693             0.000182       12.209770   \n",
       "85         0.000087      10.233151             0.000233       11.242003   \n",
       "86         0.000004      12.187562             0.000140       12.461101   \n",
       "87         0.000043       9.897651             0.000134       10.438491   \n",
       "88         0.001442       5.388826             0.001844        5.875304   \n",
       "89         0.000097       6.576982             0.000194        7.406668   \n",
       "90         0.000032       5.615050             0.000446        5.926248   \n",
       "91         0.000026       5.458561             0.000763        5.766362   \n",
       "92         0.000395       6.072325             0.000244        6.688083   \n",
       "93         0.000047       9.045826             0.000428        9.819279   \n",
       "94         0.000504       9.274387             0.000453       10.356128   \n",
       "95         0.000023       8.668239             0.000199        9.184621   \n",
       "96         0.000009       8.569651             0.000198        9.133196   \n",
       "97         0.000150       5.721321             0.000333        6.026267   \n",
       "98         0.000031       8.882300             0.000220        9.913739   \n",
       "99         0.000085       8.672898             0.000300        9.333959   \n",
       "100        0.000033       8.960512             0.000196        9.399461   \n",
       "101        0.000062      11.459447             0.000258       12.449090   \n",
       "102        0.000018      11.713051             0.000219       12.595622   \n",
       "103        0.000154       9.322016             0.000184       10.202135   \n",
       "104        0.000144      13.426833             0.000117       14.149340   \n",
       "105        0.000031       8.609111             0.000317        9.150236   \n",
       "106        0.000062       8.085596             0.000106        8.633655   \n",
       "107        0.000019      11.444101             0.000157       12.155749   \n",
       "108        0.000032       8.545705             0.000156        9.092931   \n",
       "109        0.000129       8.042280             0.000137        8.697618   \n",
       "110        0.000093      10.623208             0.000219       11.454920   \n",
       "111        0.000081       9.000594             0.000150        9.920528   \n",
       "112        0.000027      11.491833             0.000170       12.301356   \n",
       "113        0.000020       9.280406             0.000175        9.959924   \n",
       "114        0.000025      10.498316             0.000211       11.418139   \n",
       "115        0.000019      10.659282             0.000095       11.410598   \n",
       "116        0.000030      11.447915             0.000156       12.279705   \n",
       "117        0.000100       9.438920             0.000105       10.164132   \n",
       "118        0.000029      11.568105             0.000153       12.599592   \n",
       "119        0.000012      12.508315             0.000058       13.362732   \n",
       "120        0.000039      11.060485             0.000149       12.005496   \n",
       "121        0.000067       9.240225             0.000216       10.223646   \n",
       "122        0.000065      10.077085             0.000337       11.043215   \n",
       "123        0.000319      10.121972             0.000258       11.345080   \n",
       "124        0.000298      10.775954             0.000251       11.942403   \n",
       "125        0.000092       8.228785             0.000315        9.141551   \n",
       "126        0.001713       6.655574             0.000240        7.502061   \n",
       "127        0.000109       9.366789             0.000164       10.162450   \n",
       "128        0.000281      10.416463             0.000318       11.284319   \n",
       "129        0.000101      12.105646             0.000150       13.204833   \n",
       "130        0.000025       6.691485             0.000329        7.013296   \n",
       "131        0.000009      12.246517             0.000149       13.011872   \n",
       "132        0.000091      11.051561             0.000301       11.989856   \n",
       "133        0.000160      13.122855             0.000135       14.177913   \n",
       "134        0.000087      10.453171             0.000080       10.952610   \n",
       "135        0.000098       8.913636             0.000231        9.755757   \n",
       "136        0.000044      12.267409             0.000198       13.375583   \n",
       "137        0.000771       8.464866             0.000434        9.241757   \n",
       "138        0.000074      12.679548             0.000485       13.693255   \n",
       "139        0.000018       9.494727             0.000129       10.097331   \n",
       "140        0.000036      11.570402             0.000134       12.651858   \n",
       "141        0.000247       9.417993             0.000199       10.482405   \n",
       "142        0.000215       8.817142             0.000201        9.729524   \n",
       "143        0.000040      13.224464             0.000174       13.963414   \n",
       "144        0.000026       8.902859             0.000179        9.417536   \n",
       "145        0.001796       8.389075             0.000887        9.713970   \n",
       "146        0.000034      11.902513             0.000194       12.740493   \n",
       "147        0.000031       9.944698             0.000119       10.879534   \n",
       "148        0.000146      10.527092             0.002755       11.693636   \n",
       "149        0.000020      10.292237             0.000376       11.105963   \n",
       "150        0.000281       9.827932             0.000130       10.845625   \n",
       "151        0.000023      11.664927             0.000556       12.550198   \n",
       "152        0.000005       7.506991             0.000171        8.052174   \n",
       "153        0.000005      12.650021             0.000165       13.149212   \n",
       "154        0.000022       9.316514             0.000117        9.948911   \n",
       "155        0.000031       7.830550             0.000093        8.329799   \n",
       "156        0.000099       9.622320             0.000221       10.317295   \n",
       "157        0.000016      13.282120             0.000220       13.983784   \n",
       "158        0.000017      12.540129             0.000130       13.267946   \n",
       "159        0.000009      12.519994             0.000258       13.228878   \n",
       "160        0.000054      12.565519             0.000612       13.255745   \n",
       "161        0.000027      11.388952             0.000370       12.036754   \n",
       "162        0.000024       8.431307             0.000123        8.790238   \n",
       "163        0.000026      13.290093             0.000537       14.088630   \n",
       "164        0.000008       9.226869             0.000167        9.554243   \n",
       "165        0.000356       8.671568             0.000413        9.240516   \n",
       "166        0.000036      11.890348             0.000149       12.638213   \n",
       "167        0.000041      11.771139             0.000150       12.685956   \n",
       "168        0.000017       7.876558             0.000205        8.284633   \n",
       "169        0.000025       6.232531             0.000093        6.748013   \n",
       "170        0.000029      11.672547             0.000524       12.559484   \n",
       "171        0.000012      11.885412             0.000094       12.551325   \n",
       "172        0.000009       7.498623             0.000102        7.914416   \n",
       "173        0.000005       7.546093             0.000174        8.140296   \n",
       "174        0.000007       6.819941             0.000181        7.367004   \n",
       "175        0.000018       7.251237             0.000214        7.828172   \n",
       "176        0.000073       6.629171             0.000272        7.214079   \n",
       "177        0.000073       6.353576             0.000544        7.014666   \n",
       "178        0.000044       9.315949             0.000207       10.170422   \n",
       "179        0.000181       8.879663             0.001044        9.928561   \n",
       "180        0.004025       5.522178             0.000938        6.413885   \n",
       "181        0.000056       7.536922             0.000091        8.033792   \n",
       "182        0.000139       7.344262             0.000134        8.021019   \n",
       "183        0.000031      10.510180             0.000492       11.409274   \n",
       "184        0.000024       9.919531             0.000236       11.041836   \n",
       "185        0.000023      10.560273             0.002520       11.321291   \n",
       "186        0.000003       6.609096             0.000575        7.394690   \n",
       "187        0.000128       7.876726             0.000236        8.660909   \n",
       "188        0.000198       7.898905             0.001443        8.667331   \n",
       "189        0.000037       9.718406             0.000122       10.215195   \n",
       "190        0.000025      12.110727             0.000098       13.002258   \n",
       "191        0.000131       9.349115             0.000299       10.329634   \n",
       "192        0.000010       7.654802             0.000269        8.435673   \n",
       "193        0.000303      10.083503             0.001358       11.197573   \n",
       "194        0.000116       9.753723             0.000196       10.358858   \n",
       "195        0.000250       5.109919             0.001024        5.588660   \n",
       "196        0.000010       8.701271             0.000346        9.224060   \n",
       "197        0.000466       8.659997             0.000370        9.313016   \n",
       "198        0.000119       8.849494             0.000253        9.596326   \n",
       "199        0.000013       8.090565             0.000139        8.524661   \n",
       "200        0.000032       8.694564             0.000186        9.182812   \n",
       "201        0.000005      10.022121             0.000129       10.576105   \n",
       "202        0.000104       8.805459             0.000113        9.391597   \n",
       "203        0.000010       9.062549             0.000179        9.563523   \n",
       "204        0.000149       8.586136             0.000187        9.086472   \n",
       "205        0.000064       9.920044             0.000115       10.535692   \n",
       "206        0.000031       9.029192             0.000149        9.644564   \n",
       "207        0.000662       8.298982             0.000735        8.974500   \n",
       "208        0.000044       8.952298             0.000343        9.583963   \n",
       "209        0.000078      10.238495             0.000650       10.937829   \n",
       "210        0.000021       7.108105             0.000188        7.597661   \n",
       "211        0.000036       9.788014             0.000136       10.565958   \n",
       "212        0.000041      11.103050             0.000165       11.975824   \n",
       "213        0.000038       9.692136             0.000217       10.507200   \n",
       "214        0.000008      10.408075             0.000080       10.923543   \n",
       "215        0.001072      10.853251             0.001545       11.859876   \n",
       "216        0.000092      11.061425             0.000268       12.069070   \n",
       "217        0.000189       8.877501             0.000144        9.833331   \n",
       "218        0.000067       7.222505             0.000110        7.928703   \n",
       "219        0.000019       9.204985             0.000126        9.958570   \n",
       "220        0.000627       7.973036             0.000344        8.525668   \n",
       "221        0.000060       9.334342             0.000453       10.084551   \n",
       "222        0.000009       9.837465             0.000082       10.382133   \n",
       "223        0.000008       8.534994             0.000209        8.992452   \n",
       "224        0.000020       8.417039             0.000148        8.813442   \n",
       "225        0.000019       8.489376             0.000098        9.076557   \n",
       "226        0.000015       9.723760             0.000059       10.324281   \n",
       "227        0.000119      10.904282             0.000122       11.709675   \n",
       "228        0.000194       7.799157             0.000149        8.344794   \n",
       "229        0.000053       8.824663             0.000125        9.392523   \n",
       "230        0.000086       9.267842             0.000094        9.921148   \n",
       "231        0.000012       9.442629             0.000100        9.988805   \n",
       "232        0.000293       8.188246             0.000115        8.902260   \n",
       "233        0.000015      10.938006             0.000230       11.547057   \n",
       "234        0.002256       5.924272             0.000623        6.570710   \n",
       "235        0.000029       9.410356             0.000247        9.974891   \n",
       "236        0.000068       6.605694             0.000191        7.083204   \n",
       "237        0.000229      10.905731             0.000123       11.915213   \n",
       "238        0.000234       7.148190             0.000115        7.820553   \n",
       "239        0.000151       8.071890             0.000749        8.990747   \n",
       "240        0.000015       7.950476             0.000183        8.296596   \n",
       "241        0.000009       8.076014             0.000387        8.449446   \n",
       "242        0.000051      10.217286             0.000630       10.832724   \n",
       "243        0.000546       7.823794             0.000278        8.676967   \n",
       "244        0.000025       9.114833             0.000290        9.519715   \n",
       "245        0.000965       5.435738             0.001062        5.846868   \n",
       "246        0.000014       7.989782             0.000217        8.406317   \n",
       "247        0.000171       5.530327             0.001597        5.894575   \n",
       "248        0.000026       7.709708             0.000196        8.261672   \n",
       "249        0.000521       6.656542             0.000282        7.309884   \n",
       "250        0.000309      11.461843             0.000276       12.338678   \n",
       "251        0.000145       7.708550             0.000755        8.144364   \n",
       "252        0.001411       6.459386             0.000279        7.299099   \n",
       "253        0.000012       8.994085             0.000100        9.627338   \n",
       "254        0.000043       8.739580             0.000088        9.312386   \n",
       "255        0.000168       9.503143             0.000135       10.141953   \n",
       "256        0.000057       8.458945             0.000167        8.920549   \n",
       "257        0.000158       6.222012             0.000685        6.593539   \n",
       "258        0.000012       7.581978             0.000050        8.017918   \n",
       "259        0.000008       6.438563             0.000139        6.860128   \n",
       "260        0.000008       7.740121             0.000108        8.107104   \n",
       "261        0.000125       6.152215             0.000181        6.694971   \n",
       "262        0.000011       7.097150             0.000073        7.639723   \n",
       "263        0.000075       6.099444             0.000274        6.554118   \n",
       "264        0.000189       5.865398             0.000338        6.337624   \n",
       "265        0.000064       6.390941             0.000273        6.829429   \n",
       "266        0.000047       8.081346             0.000113        8.710398   \n",
       "267        0.000011       7.427886             0.000172        7.885655   \n",
       "268        0.000150       7.466768             0.000138        8.032993   \n",
       "269        0.000216       5.626411             0.000648        6.087518   \n",
       "270        0.000007       7.288328             0.000072        7.734219   \n",
       "271        0.000096       6.425427             0.000134        6.964986   \n",
       "272        0.000032       6.551814             0.000252        7.110082   \n",
       "273        0.000035       7.051635             0.000672        7.511665   \n",
       "274        0.000120       6.670710             0.000095        7.173227   \n",
       "275        0.000036       9.014389             0.000255        9.908496   \n",
       "276        0.000076       6.298021             0.000257        6.813583   \n",
       "277        0.000016       9.458853             0.000104       10.205728   \n",
       "278        0.000106      10.471354             0.000538       11.360812   \n",
       "279        0.000192       5.263669             0.009029        5.647538   \n",
       "280        0.000011       7.991242             0.000104        8.430264   \n",
       "281        0.000027       8.068369             0.000145        8.645024   \n",
       "282        0.000014       6.362666             0.000245        6.805267   \n",
       "\n",
       "     int_average_bp_error  int_average_rp  int_average_rp_error  \\\n",
       "0                0.000350        8.538479              0.000255   \n",
       "1                0.000675       11.028866              0.003362   \n",
       "2                0.000585        9.532081              0.000272   \n",
       "3                0.000650        9.350548              0.002148   \n",
       "4                0.000465       10.365324              0.000289   \n",
       "5                0.001351        9.673114              0.000931   \n",
       "6                0.001909        9.216655              0.001185   \n",
       "7                0.002056        7.430071              0.001154   \n",
       "8                0.004637        6.625296              0.000678   \n",
       "9                0.000471        7.586238              0.000354   \n",
       "10               0.000656        8.353584              0.001399   \n",
       "11               0.000415        8.671878              0.000122   \n",
       "12               0.000359        9.170941              0.000234   \n",
       "13               0.000389        7.264267              0.000223   \n",
       "14               0.000302        8.418077              0.000283   \n",
       "15               0.000544       10.659074              0.000292   \n",
       "16               0.001129       10.535612              0.000175   \n",
       "17               0.002068       11.733342              0.000287   \n",
       "18               0.000497       12.357792              0.000276   \n",
       "19               0.000396       10.174897              0.000171   \n",
       "20               0.001666        9.606266              0.001135   \n",
       "21               0.000896        8.031175              0.008760   \n",
       "22               0.000253        7.934157              0.000149   \n",
       "23               0.000388        8.671559              0.000171   \n",
       "24               0.001222        7.762304              0.001049   \n",
       "25               0.004829        6.274302              0.000914   \n",
       "26               0.001080        8.849756              0.000312   \n",
       "27               0.043213       10.813362              0.008803   \n",
       "28               0.000940       11.181050              0.000475   \n",
       "29               0.000857       11.252914              0.000593   \n",
       "30               0.001654       12.228556              0.008210   \n",
       "31               0.001249       12.580215              0.000598   \n",
       "32               0.000823        6.678832              0.000324   \n",
       "33               0.000508        9.104353              0.000449   \n",
       "34               0.000437       10.286051              0.000263   \n",
       "35               0.000216        7.845512              0.000197   \n",
       "36               0.000210       10.073289              0.000108   \n",
       "37               0.000242        9.898076              0.000186   \n",
       "38               0.000381        8.321433              0.000260   \n",
       "39               0.000357        8.228151              0.000220   \n",
       "40               0.000276       10.952329              0.000170   \n",
       "41               0.000314        6.476406              0.000272   \n",
       "42               0.000273        7.147491              0.000448   \n",
       "43               0.000195        8.082453              0.000146   \n",
       "44               0.000202        8.830518              0.000131   \n",
       "45               0.000284       13.287914              0.000175   \n",
       "46               0.000280       12.343640              0.000225   \n",
       "47               0.000206        8.790977              0.000140   \n",
       "48               0.000422        7.708607              0.000163   \n",
       "49               0.000196        7.899946              0.000143   \n",
       "50               0.008983        9.964414              0.002845   \n",
       "51               0.001330       12.667042              0.000677   \n",
       "52               0.000298       11.005724              0.000170   \n",
       "53               0.000673       11.128080              0.000315   \n",
       "54               0.001156       10.739279              0.001080   \n",
       "55               0.000447       10.753396              0.000244   \n",
       "56               0.000435       10.072980              0.000568   \n",
       "57               0.000317       10.305583              0.000339   \n",
       "58               0.000216        9.512212              0.000108   \n",
       "59               0.000392        9.364640              0.000208   \n",
       "60               0.000305        8.188362              0.000177   \n",
       "61               0.000329       10.839674              0.000147   \n",
       "62               0.000592       10.757288              0.000288   \n",
       "63               0.000168        9.641113              0.000096   \n",
       "64               0.000276       11.077874              0.000158   \n",
       "65               0.000410        6.322293              0.000408   \n",
       "66               0.003075        9.374411              0.002371   \n",
       "67               0.004078        7.175902              0.000762   \n",
       "68               0.000466        8.952588              0.000137   \n",
       "69               0.000360       11.719069              0.000254   \n",
       "70               0.001384       11.676058              0.000700   \n",
       "71               0.000156        9.502960              0.000085   \n",
       "72               0.000259       12.349575              0.000155   \n",
       "73               0.000419       10.550765              0.000273   \n",
       "74               0.001435        8.041643              0.000344   \n",
       "75               0.000520       11.347775              0.000300   \n",
       "76               0.006917        8.009264              0.000276   \n",
       "77               0.000337       10.366210              0.000186   \n",
       "78               0.000221        8.956087              0.000122   \n",
       "79               0.000277        5.777991              0.000230   \n",
       "80               0.000309       10.141650              0.000169   \n",
       "81               0.001275        9.491884              0.002212   \n",
       "82               0.000339       11.011699              0.000170   \n",
       "83               0.000268       10.185787              0.000139   \n",
       "84               0.000272       10.179747              0.000098   \n",
       "85               0.000648        9.283660              0.000369   \n",
       "86               0.000348       11.752045              0.000323   \n",
       "87               0.000233        9.254500              0.000129   \n",
       "88               0.001326        4.854274              0.008080   \n",
       "89               0.000569        5.716348              0.000572   \n",
       "90               0.000308        5.201410              0.000461   \n",
       "91               0.003063        5.072982              0.003851   \n",
       "92               0.000537        5.359146              0.001134   \n",
       "93               0.000704        8.204380              0.000526   \n",
       "94               0.001172        8.276671              0.000593   \n",
       "95               0.000249        8.027929              0.000210   \n",
       "96               0.000356        7.900367              0.000216   \n",
       "97               0.000730        5.317554              0.001025   \n",
       "98               0.000525        7.903191              0.000399   \n",
       "99               0.002335        7.915027              0.000231   \n",
       "100              0.000246        8.388598              0.000154   \n",
       "101              0.000603       10.484378              0.000210   \n",
       "102              0.000401       10.794562              0.000153   \n",
       "103              0.000273        8.457022              0.000165   \n",
       "104              0.000546       12.542202              0.000340   \n",
       "105              0.000750        7.942175              0.000435   \n",
       "106              0.000249        7.410039              0.000224   \n",
       "107              0.000380       10.632093              0.000235   \n",
       "108              0.000374        7.889010              0.000362   \n",
       "109              0.000594        7.284642              0.000268   \n",
       "110              0.000657        9.736941              0.001901   \n",
       "111              0.000385        8.075958              0.000254   \n",
       "112              0.000362       10.615376              0.000207   \n",
       "113              0.000384        8.508282              0.000226   \n",
       "114              0.000355        9.576800              0.000135   \n",
       "115              0.000544        9.832063              0.000133   \n",
       "116              0.000322       10.568030              0.000190   \n",
       "117              0.002910        8.649219              0.000153   \n",
       "118              0.001143       10.580753              0.003898   \n",
       "119              0.000347       11.593432              0.000213   \n",
       "120              0.000298       10.123098              0.000159   \n",
       "121              0.000409        8.281534              0.000188   \n",
       "122              0.000557        9.125489              0.000262   \n",
       "123              0.000574        9.120421              0.000226   \n",
       "124              0.000271        9.716036              0.000142   \n",
       "125              0.000424        7.296252              0.000301   \n",
       "126              0.000815        5.778805              0.000288   \n",
       "127              0.000517        8.510693              0.000230   \n",
       "128              0.000365        9.522784              0.000218   \n",
       "129              0.000433       11.062824              0.000269   \n",
       "130              0.000748        6.224464              0.000573   \n",
       "131              0.000608       11.395352              0.000433   \n",
       "132              0.000593       10.122124              0.000309   \n",
       "133              0.000886       12.049168              0.000586   \n",
       "134              0.000206        9.823290              0.000171   \n",
       "135              0.000235        8.018409              0.000163   \n",
       "136              0.000785       11.209880              0.000395   \n",
       "137              0.000590        7.604907              0.000560   \n",
       "138              0.001519       11.688664              0.003643   \n",
       "139              0.001129        8.771823              0.000197   \n",
       "140              0.000311       10.540228              0.000161   \n",
       "141              0.000401        8.418933              0.000441   \n",
       "142              0.000504        7.911070              0.000247   \n",
       "143              0.000820       12.383941              0.000551   \n",
       "144              0.000864        8.255170              0.000270   \n",
       "145              0.001192        7.280242              0.001485   \n",
       "146              0.000394       11.006825              0.000232   \n",
       "147              0.000244        9.001082              0.000224   \n",
       "148              0.001247        9.457645              0.000469   \n",
       "149              0.001222        9.407578              0.000216   \n",
       "150              0.000250        8.864936              0.000302   \n",
       "151              0.032278       10.752652              0.003749   \n",
       "152              0.000583        6.842833              0.000427   \n",
       "153              0.000407       11.980394              0.000296   \n",
       "154              0.000291        8.591004              0.000293   \n",
       "155              0.000268        7.200977              0.000155   \n",
       "156              0.001787        8.785527              0.000364   \n",
       "157              0.000606       12.439991              0.000442   \n",
       "158              0.000370       11.695817              0.000259   \n",
       "159              0.009926       11.643262              0.000251   \n",
       "160              0.002560       11.771655              0.001378   \n",
       "161              0.000665       10.621232              0.000458   \n",
       "162              0.000261        7.943160              0.000230   \n",
       "163              0.001093       12.470834              0.000668   \n",
       "164              0.000801        8.778697              0.000324   \n",
       "165              0.004037        7.990393              0.001624   \n",
       "166              0.001387       11.031163              0.000776   \n",
       "167              0.002021       10.823236              0.000743   \n",
       "168              0.000349        7.348044              0.000348   \n",
       "169              0.000258        5.594133              0.000215   \n",
       "170              0.000508       10.705806              0.000195   \n",
       "171              0.000314       11.087938              0.000216   \n",
       "172              0.000531        6.973904              0.000407   \n",
       "173              0.010884        6.915551              0.001026   \n",
       "174              0.000534        6.230906              0.000417   \n",
       "175              0.000739        6.584583              0.000492   \n",
       "176              0.000331        5.931249              0.000324   \n",
       "177              0.000904        5.625439              0.003481   \n",
       "178              0.001656        8.519591              0.001132   \n",
       "179              0.004593        7.923689              0.001806   \n",
       "180              0.002587        4.644426              0.001208   \n",
       "181              0.000251        6.925183              0.000371   \n",
       "182              0.005127        6.574221              0.001980   \n",
       "183              0.001065        9.596180              0.000328   \n",
       "184              0.000488        8.877979              0.000192   \n",
       "185              0.001639        9.687185              0.000414   \n",
       "186              0.001637        5.848356              0.001252   \n",
       "187              0.000551        7.001432              0.000662   \n",
       "188              0.003793        7.120553              0.000758   \n",
       "189              0.000623        9.104276              0.000246   \n",
       "190              0.000405       11.170273              0.000218   \n",
       "191              0.000854        8.395448              0.000683   \n",
       "192              0.000753        6.839145              0.000733   \n",
       "193              0.001906        9.074700              0.000558   \n",
       "194              0.000650        8.997485              0.000284   \n",
       "195              0.000590        4.571758              0.001754   \n",
       "196              0.000477        8.064565              0.000342   \n",
       "197              0.006983        7.852836              0.004899   \n",
       "198              0.000189        8.059210              0.000157   \n",
       "199              0.000374        7.540595              0.000385   \n",
       "200              0.000268        8.093655              0.000219   \n",
       "201              0.000215        9.351792              0.000171   \n",
       "202              0.000387        8.116901              0.000350   \n",
       "203              0.000646        8.443892              0.000405   \n",
       "204              0.000314        7.958856              0.000239   \n",
       "205              0.000323        9.163969              0.000143   \n",
       "206              0.000317        8.310934              0.000303   \n",
       "207              0.000391        7.518969              0.000283   \n",
       "208              0.000620        8.219686              0.000457   \n",
       "209              0.000522        9.458331              0.000327   \n",
       "210              0.000371        6.500369              0.000218   \n",
       "211              0.000393        8.952647              0.000149   \n",
       "212              0.000193       10.185242              0.000105   \n",
       "213              0.000540        8.829743              0.000231   \n",
       "214              0.000183        9.755612              0.000112   \n",
       "215              0.000296        9.894739              0.000147   \n",
       "216              0.000356       10.076856              0.000118   \n",
       "217              0.000284        7.946682              0.000172   \n",
       "218              0.000227        6.442942              0.000214   \n",
       "219              0.000320        8.388412              0.000196   \n",
       "220              0.000430        7.354811              0.000467   \n",
       "221              0.000267        8.591762              0.000166   \n",
       "222              0.000216        9.180878              0.000138   \n",
       "223              0.000606        7.942136              0.000287   \n",
       "224              0.000265        7.892190              0.000149   \n",
       "225              0.000186        7.791287              0.000212   \n",
       "226              0.000214        9.021945              0.000141   \n",
       "227              0.001144       10.023955              0.000216   \n",
       "228              0.000299        7.144725              0.000244   \n",
       "229              0.000241        8.133257              0.000164   \n",
       "230              0.000224        8.512422              0.000167   \n",
       "231              0.000617        8.788438              0.000394   \n",
       "232              0.000342        7.383531              0.000178   \n",
       "233              0.000546       10.190875              0.000356   \n",
       "234              0.000591        5.175639              0.000732   \n",
       "235              0.000631        8.727144              0.000348   \n",
       "236              0.000691        6.012287              0.001740   \n",
       "237              0.000287        9.972416              0.000181   \n",
       "238              0.000460        6.428688              0.000426   \n",
       "239              0.001094        7.511985              0.000645   \n",
       "240              0.000623        7.482370              0.008262   \n",
       "241              0.000721        7.594699              0.000883   \n",
       "242              0.001335        9.313351              0.000787   \n",
       "243              0.000502        6.955758              0.000521   \n",
       "244              0.000664        8.578170              0.000521   \n",
       "245              0.000772        4.962090              0.000822   \n",
       "246              0.000425        7.452705              0.000311   \n",
       "247              0.001083        5.108949              0.001516   \n",
       "248              0.000358        7.046423              0.000315   \n",
       "249              0.000394        5.897434              0.000361   \n",
       "250              0.000288       10.546927              0.000291   \n",
       "251              0.001371        7.155168              0.000890   \n",
       "252              0.000689        5.579583              0.000699   \n",
       "253              0.000229        8.258840              0.000228   \n",
       "254              0.000198        8.042701              0.000193   \n",
       "255              0.000297        8.784684              0.000158   \n",
       "256              0.000380        7.861117              0.000214   \n",
       "257              0.000769        5.631915              0.000457   \n",
       "258              0.000107        7.021276              0.000143   \n",
       "259              0.000339        5.905787              0.000296   \n",
       "260              0.000216        7.265627              0.000242   \n",
       "261              0.000618        5.517237              0.001218   \n",
       "262              0.000172        6.439378              0.000462   \n",
       "263              0.001562        5.554744              0.000915   \n",
       "264              0.000639        5.282944              0.000937   \n",
       "265              0.000634        5.826916              0.000239   \n",
       "266              0.000207        7.339149              0.000197   \n",
       "267              0.000356        6.846390              0.000675   \n",
       "268              0.000281        6.795106              0.000282   \n",
       "269              0.000518        5.056970              0.000761   \n",
       "270              0.000185        6.695440              0.003906   \n",
       "271              0.001187        5.773157              0.000291   \n",
       "272              0.000820        5.927436              0.000503   \n",
       "273              0.001548        6.114543              0.025330   \n",
       "274              0.000796        5.949984              0.000183   \n",
       "275              0.000445        8.118739              0.001885   \n",
       "276              0.000327        5.678950              0.000447   \n",
       "277              0.000235        8.646734              0.000133   \n",
       "278              0.002064        9.601401              0.000340   \n",
       "279              0.001004        4.808581              0.001099   \n",
       "280              0.000184        7.415379              0.000202   \n",
       "281              0.000237        7.383290              0.000155   \n",
       "282              0.000623        5.788154              0.000359   \n",
       "\n",
       "     peak_to_peak_g  peak_to_peak_g_error  peak_to_peak_bp  \\\n",
       "0          0.513908              0.000726         0.664835   \n",
       "1          0.433845              0.001496         0.493603   \n",
       "2          0.413448              0.000920         0.480920   \n",
       "3          0.479948              0.001620         0.670629   \n",
       "4          0.714591              0.001169         0.814482   \n",
       "5          0.262452              0.000431         0.346236   \n",
       "6          0.752416              0.002277         0.864819   \n",
       "7          0.434642              0.000807         0.561396   \n",
       "8          0.802306              0.001510         0.710946   \n",
       "9          0.542770              0.000602         0.810764   \n",
       "10         0.623319              0.000919         0.768230   \n",
       "11         0.803998              0.000608         1.056819   \n",
       "12         0.676821              0.000597         0.888727   \n",
       "13         0.888433              0.000736         1.135174   \n",
       "14         0.932600              0.003201         1.162996   \n",
       "15         0.857041              0.001427         0.887123   \n",
       "16         0.579025              0.000660         0.767527   \n",
       "17         0.673812              0.000751         0.935128   \n",
       "18         0.759723              0.000597         0.933188   \n",
       "19         0.605646              0.000556         0.783423   \n",
       "20         0.772941              0.000429         0.971435   \n",
       "21         0.752698              0.001217         0.975715   \n",
       "22         0.239751              0.000237         0.302013   \n",
       "23         0.811089              0.000450         1.044966   \n",
       "24         0.687223              0.000909         0.879406   \n",
       "25         0.679947              0.004283         0.820732   \n",
       "26         0.624261              0.001053         0.814900   \n",
       "27         0.689632              0.002653         0.882736   \n",
       "28         0.554870              0.001138         0.384499   \n",
       "29         0.927050              0.000784         0.929203   \n",
       "30         0.408029              0.000817         0.468580   \n",
       "31         0.948555              0.000603         1.290841   \n",
       "32         0.572215              0.001289         0.502286   \n",
       "33         0.435908              0.000400         0.576131   \n",
       "34         0.322165              0.000801         0.474081   \n",
       "35         0.535263              0.000504         0.633267   \n",
       "36         0.584489              0.000744         0.546579   \n",
       "37         0.704804              0.000762         0.827467   \n",
       "38         0.519227              0.000851         0.676216   \n",
       "39         0.676655              0.000595         0.865177   \n",
       "40         0.632828              0.000423         0.822910   \n",
       "41         0.510398              0.000500         0.723250   \n",
       "42         0.612362              0.000369         0.694913   \n",
       "43         0.447143              0.000266         0.579773   \n",
       "44         0.648722              0.000582         0.824229   \n",
       "45         0.837785              0.000541         1.086909   \n",
       "46         0.368491              0.000319         0.465986   \n",
       "47         0.474496              0.000341         0.606904   \n",
       "48         0.458489              0.000653         0.601164   \n",
       "49         0.260049              0.000238         0.341360   \n",
       "50         0.640531              0.000990         1.162641   \n",
       "51         0.710412              0.000753         0.907848   \n",
       "52         0.683277              0.000544         0.885296   \n",
       "53         0.461484              0.000326         0.630852   \n",
       "54         0.437151              0.000573         0.586964   \n",
       "55         0.420235              0.000253         0.492461   \n",
       "56         0.387497              0.001359         0.493932   \n",
       "57         0.549681              0.001669         0.705533   \n",
       "58         0.652178              0.000993         0.774099   \n",
       "59         0.593971              0.000714         0.784130   \n",
       "60         0.280852              0.000688         0.368744   \n",
       "61         0.514248              0.000250         0.648701   \n",
       "62         0.621483              0.000736         0.811727   \n",
       "63         0.480265              0.000282         0.644832   \n",
       "64         0.812250              0.000354         1.095253   \n",
       "65         0.558655              0.000819         0.751370   \n",
       "66         0.630780              0.000679         0.957327   \n",
       "67         0.716571              0.002998         0.934973   \n",
       "68         0.489095              0.000717         0.741308   \n",
       "69         0.439872              0.000364         0.609861   \n",
       "70         0.418844              0.000425         0.525267   \n",
       "71         0.712897              0.000514         0.913440   \n",
       "72         0.669936              0.000335         0.845890   \n",
       "73         0.797752              0.001603         0.853227   \n",
       "74         0.550098              0.000618         0.911860   \n",
       "75         0.562636              0.000444         0.670630   \n",
       "76         0.661080              0.000427         2.523419   \n",
       "77         0.611639              0.000606         0.838402   \n",
       "78         0.310566              0.000678         0.373078   \n",
       "79         0.143152              0.000297         0.171468   \n",
       "80         0.518358              0.000879         0.669955   \n",
       "81         0.417685              0.000610         0.542959   \n",
       "82         0.722877              0.000608         1.102338   \n",
       "83         0.645577              0.000934         0.820095   \n",
       "84         0.476939              0.000859         0.569625   \n",
       "85         0.558552              0.001159         0.826228   \n",
       "86         0.702349              0.000368         0.869569   \n",
       "87         0.601780              0.000419         0.726480   \n",
       "88         0.630129              0.013969         0.782988   \n",
       "89         0.541675              0.000960         0.717287   \n",
       "90         0.241580              0.001842         0.299662   \n",
       "91         0.626731              0.005296         0.676486   \n",
       "92         0.641627              0.000758         0.948347   \n",
       "93         0.654177              0.000886         0.876280   \n",
       "94         0.624919              0.001777         0.823951   \n",
       "95         0.570855              0.000559         0.722128   \n",
       "96         0.512544              0.000597         0.658256   \n",
       "97         0.130274              0.001162         0.166757   \n",
       "98         0.526842              0.001040         0.687930   \n",
       "99         0.279490              0.002106         0.358685   \n",
       "100        0.638876              0.000810         0.815518   \n",
       "101        0.493715              0.000640         0.603010   \n",
       "102        0.374378              0.000415         0.488892   \n",
       "103        0.684370              0.000784         0.890640   \n",
       "104        0.728558              0.000471         0.860286   \n",
       "105        0.803184              0.000768         1.028009   \n",
       "106        0.348294              0.000422         0.460752   \n",
       "107        0.512275              0.000543         0.656069   \n",
       "108        0.611052              0.000602         0.764748   \n",
       "109        0.596323              0.000480         0.937060   \n",
       "110        0.494205              0.000996         0.674179   \n",
       "111        0.297849              0.000537         0.391050   \n",
       "112        0.379032              0.000835         0.523038   \n",
       "113        0.541752              0.000828         0.711910   \n",
       "114        0.449922              0.000831         0.600262   \n",
       "115        0.446613              0.000337         0.582130   \n",
       "116        0.357113              0.000503         0.460114   \n",
       "117        0.459875              0.000309         0.618506   \n",
       "118        0.493460              0.000679         0.627882   \n",
       "119        0.449596              0.000271         0.593336   \n",
       "120        0.600714              0.000786         0.805968   \n",
       "121        0.607680              0.001146         0.803348   \n",
       "122        0.639110              0.002230         0.886138   \n",
       "123        0.876777              0.002360         0.672636   \n",
       "124        0.761368              0.001083         0.985622   \n",
       "125        0.577033              0.001442         0.777359   \n",
       "126        0.835770              0.001162         1.076631   \n",
       "127        0.590825              0.000778         0.769231   \n",
       "128        0.684973              0.000517         0.909887   \n",
       "129        0.533007              0.000553         0.704856   \n",
       "130        0.673846              0.001060         0.858006   \n",
       "131        0.730180              0.000879         0.943394   \n",
       "132        0.459090              0.000570         0.676462   \n",
       "133        0.649324              0.000674         0.830093   \n",
       "134        0.231231              0.000248         0.287394   \n",
       "135        0.566436              0.000584         0.762481   \n",
       "136        0.531867              0.000388         0.722343   \n",
       "137        0.933663              0.007674         1.231460   \n",
       "138        0.704400              0.001606         1.205587   \n",
       "139        0.464933              0.000635         0.642820   \n",
       "140        0.452534              0.000877         0.636590   \n",
       "141        0.380223              0.000690         0.484136   \n",
       "142        0.741361              0.001130         0.920835   \n",
       "143        0.621320              0.000375         0.809455   \n",
       "144        0.327345              0.000703         0.425096   \n",
       "145        0.856453              0.007399         1.010285   \n",
       "146        0.636370              0.000760         0.822630   \n",
       "147        0.537753              0.000387         0.696977   \n",
       "148        0.615354              0.006077         0.755855   \n",
       "149        0.488879              0.001266         0.724844   \n",
       "150        0.569809              0.000729         0.756278   \n",
       "151        0.764530              0.003604         1.058758   \n",
       "152        0.341179              0.000579         0.471053   \n",
       "153        0.868423              0.001018         1.122315   \n",
       "154        0.477847              0.000527         0.604684   \n",
       "155        0.616233              0.000511         0.768025   \n",
       "156        0.446058              0.000926         0.729531   \n",
       "157        0.948435              0.001179         1.148393   \n",
       "158        0.631418              0.001106         0.695113   \n",
       "159        0.574003              0.000942         0.768767   \n",
       "160        0.793423              0.000885         0.994310   \n",
       "161        0.369534              0.000628         0.482767   \n",
       "162        0.239105              0.000616         0.295207   \n",
       "163        0.631582              0.002170         0.692140   \n",
       "164        0.351333              0.000374         0.448740   \n",
       "165        0.503929              0.000823         0.642827   \n",
       "166        0.479826              0.000509         0.672012   \n",
       "167        0.415142              0.000569         0.572539   \n",
       "168        0.282429              0.000698         0.359310   \n",
       "169        0.277840              0.000322         0.345164   \n",
       "170        0.592515              0.007774         0.781209   \n",
       "171        0.345368              0.000352         0.477850   \n",
       "172        0.273853              0.000433         0.314298   \n",
       "173        0.369689              0.000459         0.464892   \n",
       "174        0.514234              0.000592         0.553702   \n",
       "175        0.398445              0.000640         0.503183   \n",
       "176        0.332563              0.000821         0.424869   \n",
       "177        0.672855              0.001622         0.949294   \n",
       "178        0.284126              0.000464         0.329260   \n",
       "179        0.643328              0.001022         1.054196   \n",
       "180        0.318921              0.002655         0.401927   \n",
       "181        0.426957              0.000540         0.537560   \n",
       "182        0.305240              0.000942         0.421889   \n",
       "183        0.403793              0.000794         0.511605   \n",
       "184        0.529772              0.002006         0.411086   \n",
       "185        0.449556              0.003563         0.585742   \n",
       "186        1.006989              0.001547         1.154051   \n",
       "187        0.751493              0.000839         0.913091   \n",
       "188        0.475268              0.005938         0.531498   \n",
       "189        0.370874              0.000429         0.438800   \n",
       "190        0.845485              0.000475         0.985745   \n",
       "191        0.523119              0.000948         0.687555   \n",
       "192        0.520362              0.000736         0.706266   \n",
       "193        0.987329              0.010693         1.475969   \n",
       "194        0.455279              0.000402         0.592121   \n",
       "195        0.290166              0.003059         0.319313   \n",
       "196        0.636147              0.000900         0.796446   \n",
       "197        1.177347              0.000794         1.509609   \n",
       "198        0.680592              0.000719         0.705466   \n",
       "199        0.186407              0.000333         0.225013   \n",
       "200        0.639440              0.000635         0.813463   \n",
       "201        0.386407              0.000183         0.516607   \n",
       "202        0.279268              0.000418         0.343472   \n",
       "203        0.572339              0.000577         0.721705   \n",
       "204        0.504545              0.000615         0.661843   \n",
       "205        0.284751              0.000424         0.298445   \n",
       "206        0.692592              0.000592         0.871380   \n",
       "207        0.715218              0.005328         0.921948   \n",
       "208        0.649741              0.000915         0.831611   \n",
       "209        0.614424              0.002563         0.743769   \n",
       "210        0.510817              0.000447         0.663425   \n",
       "211        0.470788              0.000670         0.604002   \n",
       "212        0.545812              0.000760         0.748318   \n",
       "213        0.685186              0.000726         0.899713   \n",
       "214        0.292321              0.000390         0.367498   \n",
       "215        0.507980              0.000785         0.653266   \n",
       "216        0.416159              0.001145         0.536439   \n",
       "217        0.550620              0.000658         0.713780   \n",
       "218        0.356073              0.000504         0.460251   \n",
       "219        0.574939              0.000518         0.727697   \n",
       "220        0.599419              0.001600         0.797626   \n",
       "221        0.797464              0.001066         0.857417   \n",
       "222        0.520868              0.000835         0.482980   \n",
       "223        0.402652              0.000295         0.540066   \n",
       "224        0.290842              0.000435         0.367407   \n",
       "225        0.466021              0.000367         0.591744   \n",
       "226        0.337617              0.000255         0.425950   \n",
       "227        0.756581              0.000666         1.018414   \n",
       "228        0.278034              0.000337         0.361668   \n",
       "229        0.232717              0.000557         0.320508   \n",
       "230        0.510503              0.000396         0.701600   \n",
       "231        0.468036              0.000474         0.581211   \n",
       "232        0.670287              0.000398         0.890123   \n",
       "233        0.663365              0.000779         0.882107   \n",
       "234        1.034248              0.002076         1.355838   \n",
       "235        0.654619              0.000752         0.820929   \n",
       "236        0.486253              0.000848         0.716482   \n",
       "237        0.542956              0.000360         0.731875   \n",
       "238        0.645248              0.000307         0.781321   \n",
       "239        1.219576              0.002339         0.612644   \n",
       "240        0.376283              0.000398         0.430960   \n",
       "241        0.694967              0.000340         0.881576   \n",
       "242        0.928794              0.007824         0.766283   \n",
       "243        0.847924              0.000784         1.139540   \n",
       "244        0.747076              0.000946         0.979438   \n",
       "245        0.133142              0.002696         0.180982   \n",
       "246        0.388338              0.000308         0.476435   \n",
       "247        0.292301              0.002884         0.379131   \n",
       "248        0.521627              0.001502         0.680551   \n",
       "249        0.964510              0.000862         1.234470   \n",
       "250        0.776148              0.002446         1.138097   \n",
       "251        0.770280              0.001247         0.955485   \n",
       "252        0.943118              0.001435         1.274071   \n",
       "253        0.332285              0.000320         0.430627   \n",
       "254        0.569142              0.000460         0.728413   \n",
       "255        0.744819              0.000552         0.923847   \n",
       "256        0.176293              0.000573         0.239516   \n",
       "257        0.580652              0.001258         0.821754   \n",
       "258        0.124307              0.000202         0.153816   \n",
       "259        0.469699              0.000832         0.602763   \n",
       "260        0.449565              0.000386         0.540402   \n",
       "261        0.500275              0.000564         0.562972   \n",
       "262        0.243739              0.000289         0.313260   \n",
       "263        0.708043              0.001083         0.750564   \n",
       "264        0.450081              0.001840         0.564556   \n",
       "265        0.213612              0.000965         0.264582   \n",
       "266        0.309268              0.000385         0.411138   \n",
       "267        0.616849              0.000695         0.756753   \n",
       "268        0.750698              0.000498         0.930767   \n",
       "269        0.357495              0.003085         0.428568   \n",
       "270        0.281950              0.000431         0.341787   \n",
       "271        0.318444              0.000510         0.404774   \n",
       "272        0.580562              0.000738         0.705470   \n",
       "273        0.274803              0.001693         0.321554   \n",
       "274        0.550533              0.000442         1.179539   \n",
       "275        0.492258              0.000854         0.621749   \n",
       "276        0.401071              0.001375         0.510983   \n",
       "277        0.491192              0.000448         0.620407   \n",
       "278        0.629323              0.002373         0.736975   \n",
       "279        0.171710              0.029441         0.209270   \n",
       "280        0.692438              0.000456         0.899666   \n",
       "281        0.446316              0.000865         0.579628   \n",
       "282        0.636294              0.000918         0.783717   \n",
       "\n",
       "     peak_to_peak_bp_error  peak_to_peak_rp  peak_to_peak_rp_error  \\\n",
       "0                 0.001837         0.391897               0.001248   \n",
       "1                 0.003706         0.248418               0.012681   \n",
       "2                 0.001544         0.297583               0.001028   \n",
       "3                 0.007916         0.280869               0.017411   \n",
       "4                 0.001472         0.487843               0.001062   \n",
       "5                 0.002575         0.202133               0.001078   \n",
       "6                 0.005621         0.831465               0.004136   \n",
       "7                 0.001225         0.447458               0.001909   \n",
       "8                 0.010776         0.645790               0.001784   \n",
       "9                 0.001429         0.484708               0.001024   \n",
       "10                0.001538         0.347170               0.001559   \n",
       "11                0.001212         0.597438               0.000474   \n",
       "12                0.001196         0.533425               0.000752   \n",
       "13                0.001469         0.730534               0.000761   \n",
       "14                0.001787         0.816242               0.004376   \n",
       "15                0.001325         0.552560               0.000646   \n",
       "16                0.004565         0.483751               0.000652   \n",
       "17                0.006620         0.565602               0.001568   \n",
       "18                0.002568         0.597429               0.001539   \n",
       "19                0.000960         0.494924               0.000676   \n",
       "20                0.004895         0.561842               0.002512   \n",
       "21                0.001717         0.655384               0.065284   \n",
       "22                0.000550         0.186929               0.000271   \n",
       "23                0.000933         0.728991               0.000515   \n",
       "24                0.002968         0.595631               0.001508   \n",
       "25                0.030445         0.569329               0.003141   \n",
       "26                0.001869         0.527318               0.001209   \n",
       "27                0.127186         0.331542               0.009101   \n",
       "28                0.001861         0.470581               0.001368   \n",
       "29                0.001840         0.578478               0.001296   \n",
       "30                0.004511         0.338167               0.011297   \n",
       "31                0.007754         0.838239               0.004925   \n",
       "32                0.033517         0.345249               0.001549   \n",
       "33                0.000958         0.360471               0.013319   \n",
       "34                0.001560         0.297145               0.001063   \n",
       "35                0.001057         0.426667               0.000708   \n",
       "36                0.001152         0.418160               0.000596   \n",
       "37                0.000916         0.520841               0.000666   \n",
       "38                0.002478         0.424250               0.001111   \n",
       "39                0.001126         0.557961               0.000594   \n",
       "40                0.001272         0.512711               0.000841   \n",
       "41                0.001731         0.381774               0.001017   \n",
       "42                0.000985         0.354442               0.001471   \n",
       "43                0.000960         0.348042               0.000624   \n",
       "44                0.001692         0.550178               0.000771   \n",
       "45                0.003144         0.707473               0.002214   \n",
       "46                0.001644         0.278282               0.002649   \n",
       "47                0.000962         0.379572               0.000685   \n",
       "48                0.001489         0.364656               0.000738   \n",
       "49                0.000509         0.214946               0.000515   \n",
       "50                0.023351         0.610055               0.009910   \n",
       "51                0.004271         0.590033               0.002224   \n",
       "52                0.001785         0.559454               0.001085   \n",
       "53                0.002101         0.400017               0.001187   \n",
       "54                0.004408         0.381767               0.004611   \n",
       "55                0.000633         0.369103               0.000345   \n",
       "56                0.002219         0.297142               0.001998   \n",
       "57                0.001497         0.441147               0.001659   \n",
       "58                0.000850         0.567705               0.001092   \n",
       "59                0.001425         0.498851               0.000739   \n",
       "60                0.001642         0.241993               0.001063   \n",
       "61                0.000466         0.414859               0.000208   \n",
       "62                0.002616         0.523385               0.000991   \n",
       "63                0.000505         0.402031               0.000309   \n",
       "64                0.001864         0.698038               0.000981   \n",
       "65                0.002211         0.381385               0.001594   \n",
       "66                0.019985         0.574774               0.013803   \n",
       "67                0.005408         0.578917               0.001493   \n",
       "68                0.002283         0.481126               0.000994   \n",
       "69                0.002212         0.383831               0.001365   \n",
       "70                0.002398         0.316090               0.001280   \n",
       "71                0.000586         0.573590               0.000379   \n",
       "72                0.001700         0.548491               0.001153   \n",
       "73                0.001846         0.547041               0.001175   \n",
       "74                0.019143         0.499517               0.001517   \n",
       "75                0.002002         0.436119               0.001009   \n",
       "76                0.015017         0.555384               0.000707   \n",
       "77                0.002012         0.527525               0.001039   \n",
       "78                0.000899         0.240234               0.001808   \n",
       "79                0.001303         0.102838               0.001082   \n",
       "80                0.001649         0.437523               0.000905   \n",
       "81                0.001886         0.365068               0.002236   \n",
       "82                0.002008         0.628967               0.000939   \n",
       "83                0.000769         0.520905               0.000492   \n",
       "84                0.001441         0.388786               0.000567   \n",
       "85                0.005073         0.559354               0.002201   \n",
       "86                0.001252         0.555463               0.001147   \n",
       "87                0.001100         0.436945               0.000670   \n",
       "88                0.003673         0.437766               0.010924   \n",
       "89                0.002625         0.461884               0.001245   \n",
       "90                0.001504         0.156579               0.002215   \n",
       "91                0.005499         0.402561               0.060285   \n",
       "92                0.002500         0.546576               0.002268   \n",
       "93                0.001504         0.554956               0.000956   \n",
       "94                0.004198         0.544077               0.001730   \n",
       "95                0.000883         0.446084               0.000890   \n",
       "96                0.000757         0.404476               0.000520   \n",
       "97                0.002617         0.107355               0.003089   \n",
       "98                0.002496         0.454394               0.001873   \n",
       "99                0.007353         0.208483               0.001036   \n",
       "100               0.001159         0.494257               0.000778   \n",
       "101               0.004914         0.404194               0.000903   \n",
       "102               0.001276         0.318797               0.000697   \n",
       "103               0.001542         0.510382               0.000661   \n",
       "104               0.003005         0.659605               0.001553   \n",
       "105               0.002375         0.669344               0.001824   \n",
       "106               0.000959         0.272409               0.000726   \n",
       "107               0.001489         0.407450               0.000907   \n",
       "108               0.001422         0.436998               0.001476   \n",
       "109               0.001975         0.475093               0.000816   \n",
       "110               0.001238         0.397324               0.006715   \n",
       "111               0.001026         0.250178               0.000761   \n",
       "112               0.001208         0.341476               0.000764   \n",
       "113               0.001490         0.438070               0.000851   \n",
       "114               0.001586         0.384950               0.000732   \n",
       "115               0.001972         0.371507               0.000695   \n",
       "116               0.001451         0.295814               0.000832   \n",
       "117               0.019923         0.362645               0.000532   \n",
       "118               0.006381         0.577530               0.026512   \n",
       "119               0.001641         0.377498               0.000937   \n",
       "120               0.001047         0.516081               0.000621   \n",
       "121               0.002642         0.483579               0.000742   \n",
       "122               0.003693         0.561514               0.002149   \n",
       "123               0.001426         0.469399               0.000710   \n",
       "124               0.001329         0.646874               0.000691   \n",
       "125               0.002083         0.478578               0.000767   \n",
       "126               0.002173         0.735720               0.001246   \n",
       "127               0.001558         0.488888               0.001108   \n",
       "128               0.000714         0.563822               0.000464   \n",
       "129               0.001912         0.469174               0.001560   \n",
       "130               0.002865         0.563248               0.001523   \n",
       "131               0.003922         0.613841               0.002776   \n",
       "132               0.002777         0.405069               0.000933   \n",
       "133               0.003787         0.649433               0.002098   \n",
       "134               0.000734         0.177561               0.000707   \n",
       "135               0.001123         0.491028               0.000773   \n",
       "136               0.001808         0.471078               0.001013   \n",
       "137               0.003253         0.723480               0.002281   \n",
       "138               0.010043         0.616104               0.017399   \n",
       "139               0.004255         0.383066               0.001278   \n",
       "140               0.002357         0.406003               0.001211   \n",
       "141               0.001616         0.321824               0.002255   \n",
       "142               0.002141         0.596281               0.001067   \n",
       "143               0.003055         0.498472               0.002090   \n",
       "144               0.003225         0.270998               0.001411   \n",
       "145               0.003802         0.738559               0.011314   \n",
       "146               0.001859         0.524478               0.001075   \n",
       "147               0.001695         0.445162               0.001248   \n",
       "148               0.004677         0.472744               0.002432   \n",
       "149               0.005529         0.419755               0.001183   \n",
       "150               0.001401         0.454907               0.001426   \n",
       "151               0.113587         0.699398               0.020363   \n",
       "152               0.003398         0.218859               0.001138   \n",
       "153               0.003339         0.690190               0.002642   \n",
       "154               0.001610         0.397541               0.001372   \n",
       "155               0.001492         0.478472               0.000917   \n",
       "156               0.009954         0.439195               0.001195   \n",
       "157               0.002878         0.819508               0.002626   \n",
       "158               0.001814         0.397135               0.001243   \n",
       "159               0.004344         0.473534               0.001840   \n",
       "160               0.002567         0.663651               0.001346   \n",
       "161               0.001458         0.311458               0.001009   \n",
       "162               0.001035         0.156891               0.000711   \n",
       "163               0.004880         0.408498               0.002580   \n",
       "164               0.001489         0.234306               0.000675   \n",
       "165               0.011434         0.442250               0.003762   \n",
       "166               0.003101         0.438886               0.001648   \n",
       "167               0.006795         0.341349               0.002577   \n",
       "168               0.001255         0.216687               0.001442   \n",
       "169               0.001044         0.197687               0.000671   \n",
       "170               0.002062         0.474029               0.000708   \n",
       "171               0.001575         0.281138               0.000980   \n",
       "172               0.001697         0.184083               0.001347   \n",
       "173               0.002948         0.229044               0.001207   \n",
       "174               0.001808         0.346663               0.001294   \n",
       "175               0.002069         0.363001               0.001303   \n",
       "176               0.001430         0.241353               0.001423   \n",
       "177               0.003816         0.560370               0.016486   \n",
       "178               0.002141         0.230307               0.001172   \n",
       "179               0.017039         0.579142               0.003606   \n",
       "180               0.022834         0.245091               0.005178   \n",
       "181               0.001115         0.316903               0.001373   \n",
       "182               0.008569         0.179868               0.066425   \n",
       "183               0.001693         0.331128               0.001060   \n",
       "184               0.001980         0.263579               0.000886   \n",
       "185               0.002318         0.410405               0.000585   \n",
       "186               0.003770         0.666589               0.003294   \n",
       "187               0.001990         0.525458               0.002409   \n",
       "188               0.015612         0.276635               0.000960   \n",
       "189               0.002677         0.273982               0.001305   \n",
       "190               0.002866         0.766861               0.001539   \n",
       "191               0.002693         0.433494               0.001368   \n",
       "192               0.001937         0.418820               0.001220   \n",
       "193               0.016403         0.964800               0.002113   \n",
       "194               0.001187         0.370000               0.000681   \n",
       "195               0.002005         0.181722               0.006188   \n",
       "196               0.001915         0.459137               0.001298   \n",
       "197               0.013011         1.407349               0.012662   \n",
       "198               0.000763         0.486671               0.000683   \n",
       "199               0.000730         0.128184               0.000991   \n",
       "200               0.001015         0.505725               0.000916   \n",
       "201               0.000304         0.216141               0.000242   \n",
       "202               0.001527         0.212768               0.001060   \n",
       "203               0.002615         0.465822               0.002376   \n",
       "204               0.001573         0.329023               0.000696   \n",
       "205               0.000755         0.195767               0.000627   \n",
       "206               0.001442         0.546025               0.000942   \n",
       "207               0.004892         0.507377               0.001339   \n",
       "208               0.000955         0.515614               0.001417   \n",
       "209               0.001622         0.488689               0.001780   \n",
       "210               0.001019         0.381654               0.000695   \n",
       "211               0.001743         0.378838               0.000502   \n",
       "212               0.000805         0.462636               0.000590   \n",
       "213               0.001429         0.551108               0.000797   \n",
       "214               0.000644         0.220635               0.000551   \n",
       "215               0.000941         0.419112               0.000496   \n",
       "216               0.001448         0.356852               0.000544   \n",
       "217               0.001364         0.478360               0.000861   \n",
       "218               0.001379         0.285629               0.001734   \n",
       "219               0.001799         0.460993               0.001314   \n",
       "220               0.002641         0.483332               0.001792   \n",
       "221               0.001616         0.592235               0.001070   \n",
       "222               0.001122         0.407022               0.001003   \n",
       "223               0.000857         0.352432               0.000405   \n",
       "224               0.000741         0.219590               0.000481   \n",
       "225               0.000916         0.354041               0.000875   \n",
       "226               0.001065         0.226492               0.000606   \n",
       "227               0.002559         0.615435               0.001246   \n",
       "228               0.000894         0.229602               0.000906   \n",
       "229               0.001262         0.185457               0.000910   \n",
       "230               0.001134         0.421873               0.000927   \n",
       "231               0.002540         0.338775               0.001689   \n",
       "232               0.000957         0.553955               0.000642   \n",
       "233               0.001782         0.565686               0.001428   \n",
       "234               0.002323         0.714751               0.002279   \n",
       "235               0.001423         0.501015               0.000789   \n",
       "236               0.003306         0.263937               0.006740   \n",
       "237               0.001150         0.467912               0.000506   \n",
       "238               0.001384         0.488421               0.001353   \n",
       "239               0.002645         0.412258               0.001394   \n",
       "240               0.001085         0.227643               0.001514   \n",
       "241               0.000861         0.535369               0.000762   \n",
       "242               0.002503         0.433591               0.001439   \n",
       "243               0.001766         0.697763               0.001339   \n",
       "244               0.001676         0.592389               0.001465   \n",
       "245               0.002196         0.076684               0.003371   \n",
       "246               0.000601         0.293537               0.000440   \n",
       "247               0.003724         0.187663               0.004531   \n",
       "248               0.002427         0.425236               0.002127   \n",
       "249               0.001174         0.815683               0.001150   \n",
       "250               0.001949         0.607684               0.002492   \n",
       "251               0.001950         0.593078               0.002654   \n",
       "252               0.002935         0.895452               0.004192   \n",
       "253               0.000681         0.251499               0.000599   \n",
       "254               0.001010         0.432670               0.000937   \n",
       "255               0.001135         0.554987               0.000582   \n",
       "256               0.001551         0.133932               0.000579   \n",
       "257               0.002439         0.518189               0.001559   \n",
       "258               0.000695         0.090662               0.000731   \n",
       "259               0.001516         0.390365               0.001245   \n",
       "260               0.000787         0.335047               0.000653   \n",
       "261               0.002389         0.343095               0.002031   \n",
       "262               0.000729         0.186934               0.001472   \n",
       "263               0.005717         0.577576               0.002615   \n",
       "264               0.008654         0.373318               0.003611   \n",
       "265               0.002272         0.126240               0.000728   \n",
       "266               0.001076         0.254092               0.000820   \n",
       "267               0.001537         0.498649               0.002701   \n",
       "268               0.000908         0.579908               0.000784   \n",
       "269               0.002010         0.301031               0.004543   \n",
       "270               0.001111         0.176446               0.018102   \n",
       "271               0.001854         0.231443               0.000649   \n",
       "272               0.002365         0.368723               0.001299   \n",
       "273               0.003689         0.896187               0.056121   \n",
       "274               0.003748         0.369265               0.000937   \n",
       "275               0.001954         0.370093               0.008646   \n",
       "276               0.001450         0.324574               0.001204   \n",
       "277               0.001042         0.403284               0.000595   \n",
       "278               0.008376         0.413873               0.001144   \n",
       "279               0.002172         0.100241               0.003226   \n",
       "280               0.000670         0.573658               0.000833   \n",
       "281               0.000802         0.330433               0.000656   \n",
       "282               0.001961         0.502649               0.001206   \n",
       "\n",
       "     metallicity  metallicity_error     r21_g  r21_g_error     r31_g  \\\n",
       "0            NaN                NaN  0.369087     0.001170  0.138882   \n",
       "1            NaN                NaN  0.405469     0.008274  0.126952   \n",
       "2       0.036701           0.225208  0.389662     0.002769       NaN   \n",
       "3            NaN                NaN  0.253140     0.001508       NaN   \n",
       "4       0.079531           0.219843  0.368568     0.002236       NaN   \n",
       "5            NaN                NaN  0.082072     0.001821       NaN   \n",
       "6      -0.630885           0.219767  0.585415     0.001354       NaN   \n",
       "7            NaN                NaN       NaN          NaN       NaN   \n",
       "8            NaN                NaN  0.251592     0.002520  0.059087   \n",
       "9            NaN                NaN       NaN          NaN       NaN   \n",
       "10           NaN                NaN  0.139545     0.001900       NaN   \n",
       "11           NaN                NaN  0.088994     0.001226  0.144488   \n",
       "12           NaN                NaN  0.281743     0.001010  0.103611   \n",
       "13           NaN                NaN  0.356259     0.000693  0.201011   \n",
       "14           NaN                NaN  0.377329     0.001972  0.209076   \n",
       "15           NaN                NaN  0.437294     0.004947  0.293099   \n",
       "16      0.048459           0.233803  0.393094     0.001411  0.115921   \n",
       "17           NaN                NaN  0.307389     0.000830  0.275356   \n",
       "18     -0.223887           0.219739  0.461183     0.000625  0.238926   \n",
       "19     -0.150133           0.224986  0.444183     0.000925  0.210405   \n",
       "20     -0.144340           0.233765  0.450227     0.000707  0.123514   \n",
       "21           NaN                NaN  0.174026     0.001090  0.144015   \n",
       "22           NaN                NaN  0.051345     0.001093       NaN   \n",
       "23           NaN                NaN  0.222709     0.000759       NaN   \n",
       "24           NaN                NaN  0.522776     0.001952       NaN   \n",
       "25           NaN                NaN  0.405374     0.003507  0.236758   \n",
       "26           NaN                NaN  0.213454     0.002181  0.144998   \n",
       "27     -0.018012           0.233872  0.412792     0.001934  0.126333   \n",
       "28      0.211787           0.219741  0.328198     0.000662  0.096144   \n",
       "29      0.287629           0.224971  0.316437     0.000526       NaN   \n",
       "30      0.332810           0.219760  0.291257     0.001063       NaN   \n",
       "31     -0.402568           0.219744  0.515724     0.000802  0.396305   \n",
       "32           NaN                NaN  0.119823     0.000948  0.115927   \n",
       "33           NaN                NaN       NaN          NaN       NaN   \n",
       "34           NaN                NaN  0.192349     0.003952       NaN   \n",
       "35           NaN                NaN       NaN          NaN       NaN   \n",
       "36           NaN                NaN  0.232762     0.001186       NaN   \n",
       "37      0.211450           0.224979  0.338667     0.000741       NaN   \n",
       "38           NaN                NaN  0.204993     0.001528  0.128792   \n",
       "39     -0.016297           0.225002  0.405127     0.001263  0.210634   \n",
       "40           NaN                NaN  0.259472     0.000613       NaN   \n",
       "41      0.398431           0.219738  0.271227     0.000576       NaN   \n",
       "42     -0.089398           0.219750  0.420132     0.000860       NaN   \n",
       "43      0.254888           0.233779  0.331923     0.000990       NaN   \n",
       "44      0.108297           0.225041  0.368769     0.001705  0.164735   \n",
       "45           NaN                NaN  0.285837     0.000293  0.130332   \n",
       "46           NaN                NaN  0.113565     0.000693  0.074964   \n",
       "47      0.145705           0.224970  0.357853     0.000489  0.128400   \n",
       "48           NaN                NaN  0.277753     0.001388  0.113120   \n",
       "49           NaN                NaN  0.171065     0.001423       NaN   \n",
       "50      0.023813           0.225022  0.393423     0.001400  0.138997   \n",
       "51           NaN                NaN  0.294191     0.001211  0.268364   \n",
       "52     -0.027240           0.219742  0.401159     0.000834  0.183054   \n",
       "53      0.255092           0.224993  0.325932     0.001013  0.142987   \n",
       "54      0.061931           0.219791  0.373940     0.001532  0.115639   \n",
       "55           NaN                NaN  0.373880     0.001392       NaN   \n",
       "56           NaN                NaN  0.302140     0.001759       NaN   \n",
       "57      0.062581           0.219990  0.373742     0.003134  0.182919   \n",
       "58           NaN                NaN  0.333456     0.001335       NaN   \n",
       "59      0.204793           0.233792  0.346768     0.001110       NaN   \n",
       "60           NaN                NaN  0.162759     0.001963       NaN   \n",
       "61           NaN                NaN  0.372045     0.001045  0.156721   \n",
       "62           NaN                NaN  0.207237     0.000828       NaN   \n",
       "63      0.214476           0.219744  0.327377     0.000747       NaN   \n",
       "64     -0.179107           0.233761  0.460529     0.000500  0.234990   \n",
       "65           NaN                NaN  0.320731     0.000735  0.172620   \n",
       "66           NaN                NaN  0.229401     0.018556  0.111300   \n",
       "67           NaN                NaN  0.374264     0.015492  0.247488   \n",
       "68      0.193157           0.233840  0.350216     0.001774       NaN   \n",
       "69     -0.011395           0.224998  0.403697     0.001215  0.172590   \n",
       "70           NaN                NaN  0.232223     0.001170  0.073365   \n",
       "71     -0.056374           0.233759  0.424160     0.000464  0.158275   \n",
       "72     -0.067455           0.233762  0.427444     0.000530  0.202959   \n",
       "73      0.047394           0.225008  0.386542     0.001373  0.209493   \n",
       "74           NaN                NaN  0.044294     0.002833  0.194803   \n",
       "75      0.041252           0.224972  0.388334     0.000512       NaN   \n",
       "76           NaN                NaN       NaN          NaN       NaN   \n",
       "77     -0.045421           0.225000  0.413626     0.001164  0.178204   \n",
       "78           NaN                NaN  0.066712     0.001422       NaN   \n",
       "79           NaN                NaN  0.090106     0.002669       NaN   \n",
       "80      0.015125           0.219846  0.388227     0.002236  0.204689   \n",
       "81           NaN                NaN  0.227236     0.001133       NaN   \n",
       "82     -0.372433           0.233768  0.517818     0.000729       NaN   \n",
       "83      0.033678           0.225009  0.390544     0.001203  0.169714   \n",
       "84      0.254718           0.233770  0.331974     0.000812       NaN   \n",
       "85      0.161733           0.233823  0.359528     0.001743  0.131378   \n",
       "86     -0.189074           0.219741  0.450557     0.000724  0.181784   \n",
       "87      0.109876           0.233772  0.374895     0.000754  0.110836   \n",
       "88           NaN                NaN  0.248414     0.010141  0.098565   \n",
       "89           NaN                NaN  0.249110     0.001873  0.152737   \n",
       "90           NaN                NaN  0.066270     0.005022       NaN   \n",
       "91     -0.033015           0.220066  0.402921     0.003972       NaN   \n",
       "92           NaN                NaN       NaN          NaN       NaN   \n",
       "93           NaN                NaN  0.324708     0.001073  0.185258   \n",
       "94           NaN                NaN  0.175391     0.001671       NaN   \n",
       "95      0.094183           0.224975  0.372888     0.000597  0.146201   \n",
       "96      0.186592           0.233822  0.352162     0.001424  0.119634   \n",
       "97           NaN                NaN       NaN          NaN       NaN   \n",
       "98      0.228892           0.233817  0.339627     0.001582  0.126362   \n",
       "99           NaN                NaN  0.084298     0.003941  0.021545   \n",
       "100     0.106169           0.224992  0.369390     0.000948  0.155967   \n",
       "101     0.235567           0.225101  0.331630     0.002610  0.175966   \n",
       "102     0.201731           0.225012  0.341504     0.001301  0.106842   \n",
       "103          NaN                NaN  0.241211     0.000971  0.135341   \n",
       "104          NaN                NaN  0.657408     0.001120       NaN   \n",
       "105     0.013193           0.225002  0.396522     0.001167  0.193886   \n",
       "106          NaN                NaN  0.193875     0.001541       NaN   \n",
       "107     0.049640           0.225042  0.385886     0.001659  0.158726   \n",
       "108          NaN                NaN  0.313393     0.000764       NaN   \n",
       "109          NaN                NaN       NaN          NaN       NaN   \n",
       "110          NaN                NaN  0.372319     0.001709  0.093846   \n",
       "111     0.456902           0.233871  0.272061     0.002140       NaN   \n",
       "112     0.302848           0.219804  0.300403     0.001710       NaN   \n",
       "113     0.157459           0.233780  0.360794     0.001080  0.119025   \n",
       "114     0.254855           0.225021  0.326001     0.001426  0.115238   \n",
       "115     0.092942           0.225011  0.373250     0.001335  0.149063   \n",
       "116     0.310921           0.225021  0.309640     0.001430  0.096014   \n",
       "117          NaN                NaN       NaN          NaN       NaN   \n",
       "118     0.070381           0.224983  0.379834     0.000787  0.137363   \n",
       "119     0.264234           0.224979  0.323264     0.000627  0.127379   \n",
       "120     0.254428           0.233793  0.332060     0.001241       NaN   \n",
       "121    -0.022744           0.233804  0.414194     0.001472  0.112834   \n",
       "122          NaN                NaN  0.299119     0.001536  0.191229   \n",
       "123          NaN                NaN  0.322615     0.002860  0.275243   \n",
       "124          NaN                NaN  0.165284     0.001186  0.144011   \n",
       "125          NaN                NaN  0.383096     0.001308  0.116501   \n",
       "126          NaN                NaN  0.419352     0.000805  0.233430   \n",
       "127          NaN                NaN  0.256142     0.000883  0.185820   \n",
       "128          NaN                NaN  0.197561     0.000740       NaN   \n",
       "129          NaN                NaN  0.349310     0.001282  0.122099   \n",
       "130     0.050803           0.219752  0.377337     0.000942  0.191597   \n",
       "131    -0.123739           0.224979  0.436481     0.000717  0.264266   \n",
       "132     0.396170           0.233790  0.290057     0.001260       NaN   \n",
       "133          NaN                NaN  0.267429     0.001045       NaN   \n",
       "134          NaN                NaN  0.150623     0.002260       NaN   \n",
       "135    -0.046926           0.233844  0.421360     0.001703  0.142465   \n",
       "136     0.218924           0.224979  0.336486     0.000730  0.150074   \n",
       "137          NaN                NaN  0.184092     0.004017  0.265615   \n",
       "138    -0.017526           0.233782  0.412648     0.000969  0.166208   \n",
       "139     0.224527           0.225000  0.334851     0.001319  0.113981   \n",
       "140     0.340614           0.225023  0.300975     0.001376  0.098651   \n",
       "141          NaN                NaN  0.215744     0.002102       NaN   \n",
       "142          NaN                NaN  0.291058     0.001717  0.169735   \n",
       "143    -0.032425           0.219750  0.402741     0.000983  0.183406   \n",
       "144     0.496531           0.225040  0.255476     0.001397  0.055964   \n",
       "145          NaN                NaN  0.269704     0.003734  0.153488   \n",
       "146     0.162765           0.233778  0.359222     0.001087  0.147487   \n",
       "147          NaN                NaN  0.319904     0.001385  0.151052   \n",
       "148     0.103283           0.233885  0.376849     0.002252  0.103166   \n",
       "149     0.150387           0.225052  0.356487     0.001813  0.135094   \n",
       "150          NaN                NaN  0.183185     0.001418  0.075359   \n",
       "151    -0.172072           0.219801  0.445367     0.001791  0.139512   \n",
       "152          NaN                NaN  0.210140     0.001544       NaN   \n",
       "153    -0.451024           0.219740  0.530515     0.000617  0.293016   \n",
       "154     0.491285           0.224981  0.257007     0.000887       NaN   \n",
       "155     0.022814           0.224973  0.393714     0.000639  0.169846   \n",
       "156          NaN                NaN       NaN          NaN       NaN   \n",
       "157    -0.425407           0.219770  0.522695     0.001302  0.333784   \n",
       "158    -0.039970           0.225024  0.412036     0.001395  0.410894   \n",
       "159    -0.195926           0.219852  0.452648     0.002115  0.445321   \n",
       "160     0.350008           0.225160  0.298234     0.003027  0.277415   \n",
       "161          NaN                NaN       NaN          NaN       NaN   \n",
       "162          NaN                NaN  0.049259     0.002042       NaN   \n",
       "163    -0.242603           0.219765  0.466896     0.001141       NaN   \n",
       "164          NaN                NaN  0.119444     0.000857       NaN   \n",
       "165          NaN                NaN  0.125721     0.003152  0.222187   \n",
       "166     0.170583           0.225015  0.350593     0.001297       NaN   \n",
       "167     0.185650           0.225043  0.346196     0.001668       NaN   \n",
       "168          NaN                NaN  0.110178     0.003492       NaN   \n",
       "169          NaN                NaN  0.056548     0.001139       NaN   \n",
       "170          NaN                NaN       NaN          NaN       NaN   \n",
       "171          NaN                NaN       NaN          NaN       NaN   \n",
       "172          NaN                NaN       NaN          NaN       NaN   \n",
       "173          NaN                NaN       NaN          NaN       NaN   \n",
       "174    -0.322702           0.219827  0.491346     0.001903       NaN   \n",
       "175          NaN                NaN       NaN          NaN       NaN   \n",
       "176     0.322423           0.233998  0.311911     0.003330       NaN   \n",
       "177    -0.318796           0.233975  0.501924     0.002918       NaN   \n",
       "178          NaN                NaN       NaN          NaN       NaN   \n",
       "179          NaN                NaN  0.136722     0.001861       NaN   \n",
       "180          NaN                NaN       NaN          NaN       NaN   \n",
       "181     0.325564           0.233789  0.310980     0.001291  0.084530   \n",
       "182          NaN                NaN  0.274359     0.001931       NaN   \n",
       "183     0.128177           0.220698  0.353719     0.006479       NaN   \n",
       "184     0.205022           0.219867  0.330263     0.002404       NaN   \n",
       "185          NaN                NaN  0.401868     0.003244       NaN   \n",
       "186          NaN                NaN       NaN          NaN       NaN   \n",
       "187          NaN                NaN       NaN          NaN       NaN   \n",
       "188          NaN                NaN  0.086625     0.003285  0.125131   \n",
       "189     0.382353           0.233787  0.294152     0.001101       NaN   \n",
       "190          NaN                NaN  0.318457     0.000601       NaN   \n",
       "191          NaN                NaN  0.465389     0.003268       NaN   \n",
       "192          NaN                NaN  0.287825     0.001285       NaN   \n",
       "193          NaN                NaN  0.366303     0.004560  0.108769   \n",
       "194          NaN                NaN  0.477959     0.002508       NaN   \n",
       "195          NaN                NaN  0.179074     0.010001       NaN   \n",
       "196     0.078115           0.219752  0.369000     0.000984  0.163995   \n",
       "197          NaN                NaN       NaN          NaN       NaN   \n",
       "198          NaN                NaN  0.034975     0.001167  0.136119   \n",
       "199          NaN                NaN  0.100618     0.002423       NaN   \n",
       "200     0.137345           0.233768  0.366755     0.000748       NaN   \n",
       "201          NaN                NaN  0.372016     0.001534       NaN   \n",
       "202          NaN                NaN  0.088018     0.001792       NaN   \n",
       "203     0.177726           0.233763  0.354789     0.000572  0.099201   \n",
       "204          NaN                NaN  0.049485     0.001603  0.147625   \n",
       "205    -0.393969           0.225120  0.515338     0.002746       NaN   \n",
       "206     0.029627           0.233772  0.398675     0.000871  0.165111   \n",
       "207          NaN                NaN  0.339486     0.003013  0.244219   \n",
       "208          NaN                NaN  0.307654     0.000797  0.119382   \n",
       "209    -0.089438           0.225085  0.426471     0.002236  0.118510   \n",
       "210          NaN                NaN  0.338538     0.002023  0.101088   \n",
       "211     0.299796           0.233781  0.318616     0.001099  0.072448   \n",
       "212     0.294961           0.233806  0.320049     0.001333       NaN   \n",
       "213          NaN                NaN  0.378495     0.001283  0.209036   \n",
       "214          NaN                NaN  0.141020     0.000990       NaN   \n",
       "215          NaN                NaN  0.056117     0.025045       NaN   \n",
       "216          NaN                NaN  0.340282     0.001732  0.069565   \n",
       "217          NaN                NaN  0.031830     0.000860  0.193846   \n",
       "218          NaN                NaN  0.284615     0.001546       NaN   \n",
       "219     0.025960           0.233778  0.399762     0.000988       NaN   \n",
       "220          NaN                NaN  0.313371     0.003766       NaN   \n",
       "221          NaN                NaN  0.079545     0.002665  0.366000   \n",
       "222     0.121499           0.219755  0.355758     0.001027       NaN   \n",
       "223          NaN                NaN  0.286567     0.001068       NaN   \n",
       "224          NaN                NaN  0.061112     0.002278       NaN   \n",
       "225     0.222469           0.233796  0.341530     0.001263       NaN   \n",
       "226          NaN                NaN  0.166198     0.000953       NaN   \n",
       "227          NaN                NaN  0.230210     0.000982  0.170105   \n",
       "228          NaN                NaN  0.240104     0.001679  0.048440   \n",
       "229          NaN                NaN  0.139650     0.001878       NaN   \n",
       "230          NaN                NaN       NaN          NaN       NaN   \n",
       "231     0.202206           0.224983  0.341365     0.000763  0.115485   \n",
       "232          NaN                NaN       NaN          NaN       NaN   \n",
       "233     0.065996           0.224983  0.381113     0.000887  0.157949   \n",
       "234          NaN                NaN  0.505593     0.003332  0.333169   \n",
       "235     0.119550           0.224984  0.365485     0.000874  0.156139   \n",
       "236          NaN                NaN  0.359726     0.001206       NaN   \n",
       "237          NaN                NaN       NaN          NaN       NaN   \n",
       "238          NaN                NaN       NaN          NaN       NaN   \n",
       "239          NaN                NaN  0.420890     0.000826  0.221012   \n",
       "240          NaN                NaN       NaN          NaN       NaN   \n",
       "241    -0.653144           0.220063  0.592210     0.003617  0.293828   \n",
       "242          NaN                NaN  0.484213     0.003443  0.224528   \n",
       "243          NaN                NaN  0.507202     0.001702  0.309632   \n",
       "244    -0.067401           0.233766  0.427427     0.000726  0.154758   \n",
       "245          NaN                NaN       NaN          NaN       NaN   \n",
       "246          NaN                NaN       NaN          NaN       NaN   \n",
       "247          NaN                NaN  0.183424     0.011894       NaN   \n",
       "248     0.108065           0.225057  0.368837     0.001798  0.163711   \n",
       "249          NaN                NaN  0.258488     0.000916       NaN   \n",
       "250          NaN                NaN  0.307274     0.000939  0.101423   \n",
       "251          NaN                NaN  0.379403     0.001001  0.149236   \n",
       "252          NaN                NaN  0.454691     0.000783  0.221224   \n",
       "253          NaN                NaN  0.101559     0.000937       NaN   \n",
       "254          NaN                NaN  0.400549     0.000672       NaN   \n",
       "255          NaN                NaN  0.243702     0.000571       NaN   \n",
       "256          NaN                NaN  0.115379     0.002336  0.059874   \n",
       "257          NaN                NaN  0.309048     0.001593  0.134099   \n",
       "258          NaN                NaN  0.063916     0.002063       NaN   \n",
       "259     0.316721           0.219770  0.296168     0.001323  0.114970   \n",
       "260          NaN                NaN       NaN          NaN       NaN   \n",
       "261          NaN                NaN  0.084516     0.001237       NaN   \n",
       "262          NaN                NaN  0.068629     0.001232       NaN   \n",
       "263          NaN                NaN  0.294863     0.001621  0.188745   \n",
       "264          NaN                NaN  0.148688     0.003163  0.102291   \n",
       "265          NaN                NaN  0.164457     0.002549       NaN   \n",
       "266          NaN                NaN  0.278577     0.001629  0.094269   \n",
       "267     0.134026           0.233762  0.367739     0.000546  0.130040   \n",
       "268          NaN                NaN  0.275964     0.000738       NaN   \n",
       "269     0.347662           0.235857  0.304432     0.008315       NaN   \n",
       "270          NaN                NaN  0.135207     0.001187  0.016257   \n",
       "271          NaN                NaN  0.226336     0.001611  0.021476   \n",
       "272     0.357744           0.233783  0.301444     0.001112       NaN   \n",
       "273          NaN                NaN  0.094179     0.016643       NaN   \n",
       "274          NaN                NaN  0.191271     0.000670       NaN   \n",
       "275     0.100184           0.233893  0.377767     0.002256  0.117018   \n",
       "276          NaN                NaN  0.289802     0.001589  0.047530   \n",
       "277     0.196605           0.224980  0.342999     0.000729  0.109859   \n",
       "278          NaN                NaN  0.420270     0.001645  0.100957   \n",
       "279          NaN                NaN       NaN          NaN       NaN   \n",
       "280     0.240798           0.219747  0.319343     0.000898       NaN   \n",
       "281     0.300051           0.233802  0.318540     0.001391  0.076587   \n",
       "282     0.048097           0.224978  0.386336     0.000765  0.147813   \n",
       "\n",
       "     r31_g_error   phi21_g  phi21_g_error   phi31_g  phi31_g_error  \\\n",
       "0       0.002060  5.021929       0.006262  3.198345       0.010371   \n",
       "1       0.004852  5.311808       0.011364  3.068775       0.043818   \n",
       "2            NaN  4.691773       0.005363       NaN            NaN   \n",
       "3            NaN  4.636269       0.009972       NaN            NaN   \n",
       "4            NaN  3.832707       0.007740       NaN            NaN   \n",
       "5            NaN  4.515370       0.028280       NaN            NaN   \n",
       "6            NaN  1.513908       0.007866       NaN            NaN   \n",
       "7            NaN       NaN            NaN       NaN            NaN   \n",
       "8       0.001543  4.735588       0.005631  2.236138       0.037355   \n",
       "9            NaN       NaN            NaN       NaN            NaN   \n",
       "10           NaN  1.352414       0.007026       NaN            NaN   \n",
       "11      0.000592  4.525629       0.011481  1.761836       0.006800   \n",
       "12      0.000758  4.794127       0.004197  1.716243       0.010049   \n",
       "13      0.001189  4.804479       0.005070  2.278853       0.003950   \n",
       "14      0.001022  4.710113       0.003781  3.179208       0.012132   \n",
       "15      0.005471  5.367787       0.018122  1.673147       0.009151   \n",
       "16      0.001436  4.793197       0.004604  3.039407       0.013283   \n",
       "17      0.001036  5.157450       0.004909  3.589997       0.002724   \n",
       "18      0.000435  4.285747       0.002024  2.179873       0.003318   \n",
       "19      0.001565  4.596198       0.004253  2.692074       0.005014   \n",
       "20      0.000689  4.650653       0.001381  2.948765       0.007988   \n",
       "21      0.000852  4.054001       0.005394  0.985214       0.007245   \n",
       "22           NaN  3.605023       0.025218       NaN            NaN   \n",
       "23           NaN  4.073887       0.002855       NaN            NaN   \n",
       "24           NaN  4.111005       0.003289       NaN            NaN   \n",
       "25      0.007309  4.743664       0.012464  2.802101       0.019435   \n",
       "26      0.002327  4.766832       0.013089  2.457551       0.019115   \n",
       "27      0.001711  4.494613       0.006896  2.383885       0.009807   \n",
       "28      0.001220  4.255311       0.004721  2.323881       0.012878   \n",
       "29           NaN  3.735692       0.001711       NaN            NaN   \n",
       "30           NaN  4.372914       0.005047       NaN            NaN   \n",
       "31      0.001366  4.195581       0.002081  2.185287       0.002962   \n",
       "32      0.000942  4.401086       0.013146  0.779083       0.009793   \n",
       "33           NaN       NaN            NaN       NaN            NaN   \n",
       "34           NaN  5.631537       0.013318       NaN            NaN   \n",
       "35           NaN       NaN            NaN       NaN            NaN   \n",
       "36           NaN  1.003527       0.009323       NaN            NaN   \n",
       "37           NaN  4.276103       0.004989       NaN            NaN   \n",
       "38      0.002110  5.124058       0.007491  4.134879       0.011783   \n",
       "39      0.000901  4.588178       0.002502  2.782574       0.005772   \n",
       "40           NaN  3.710046       0.002341       NaN            NaN   \n",
       "41           NaN  4.597332       0.003274       NaN            NaN   \n",
       "42           NaN  4.361716       0.002113       NaN            NaN   \n",
       "43           NaN  4.818273       0.002740       NaN            NaN   \n",
       "44      0.000946  4.333996       0.003505  2.457401       0.007680   \n",
       "45      0.000273  5.090250       0.001363  3.155892       0.002471   \n",
       "46      0.000954  3.186116       0.007292  5.652777       0.012836   \n",
       "47      0.001046  4.382908       0.002149  2.600379       0.005676   \n",
       "48      0.000904  5.158551       0.003080  3.336720       0.008655   \n",
       "49           NaN  4.006755       0.009031       NaN            NaN   \n",
       "50      0.000912  4.355993       0.002156  2.223397       0.009012   \n",
       "51      0.001459  5.038959       0.013216  3.622722       0.004001   \n",
       "52      0.000476  4.269680       0.001589  2.340390       0.004147   \n",
       "53      0.001231  4.483449       0.004489  2.515556       0.006860   \n",
       "54      0.001533  4.442850       0.002932  2.520774       0.007076   \n",
       "55           NaN  4.813527       0.004225       NaN            NaN   \n",
       "56           NaN  5.439222       0.007919       NaN            NaN   \n",
       "57      0.003827  4.314282       0.007144  2.500688       0.014680   \n",
       "58           NaN  4.834154       0.006646       NaN            NaN   \n",
       "59           NaN  4.700026       0.004020       NaN            NaN   \n",
       "60           NaN  3.939998       0.012836       NaN            NaN   \n",
       "61      0.001036  4.515277       0.003880  2.849545       0.008053   \n",
       "62           NaN  4.938995       0.005216       NaN            NaN   \n",
       "63           NaN  4.119727       0.003556       NaN            NaN   \n",
       "64      0.000537  4.500946       0.001230  2.689873       0.002136   \n",
       "65      0.000865  5.018454       0.002921  3.574752       0.007108   \n",
       "66      0.006342  4.024759       0.052196  0.805952       0.041874   \n",
       "67      0.006093  4.385201       0.039446  1.019585       0.080445   \n",
       "68           NaN  4.645712       0.003565       NaN            NaN   \n",
       "69      0.000895  4.472794       0.003580  2.828425       0.004526   \n",
       "70      0.001545  4.222084       0.003576  1.702520       0.012670   \n",
       "71      0.000621  4.693114       0.001164  2.750282       0.003728   \n",
       "72      0.000350  4.986323       0.001294  2.988120       0.003042   \n",
       "73      0.001163  4.308203       0.003307  2.290346       0.006174   \n",
       "74      0.001905  5.888402       0.053252  4.602634       0.014115   \n",
       "75           NaN  4.050343       0.001754       NaN            NaN   \n",
       "76           NaN       NaN            NaN       NaN            NaN   \n",
       "77      0.001112  4.480261       0.003141  2.584187       0.007091   \n",
       "78           NaN  4.155515       0.017612       NaN            NaN   \n",
       "79           NaN  6.227010       0.023783       NaN            NaN   \n",
       "80      0.001544  4.483254       0.005016  1.956557       0.006502   \n",
       "81           NaN  4.313548       0.004665       NaN            NaN   \n",
       "82           NaN  4.350624       0.001971       NaN            NaN   \n",
       "83      0.001304  4.433729       0.003438  2.802732       0.009013   \n",
       "84           NaN  4.789643       0.003833       NaN            NaN   \n",
       "85      0.002126  4.844136       0.005537  2.975040       0.010791   \n",
       "86      0.000808  4.605291       0.004726  3.228913       0.004890   \n",
       "87      0.001008  4.544462       0.002284  2.976118       0.007110   \n",
       "88      0.020920  5.029983       0.038440  3.413860       1.083511   \n",
       "89      0.001437  5.058691       0.007933  3.256584       0.011875   \n",
       "90           NaN  4.473785       0.080170       NaN            NaN   \n",
       "91           NaN  5.621030       0.012909       NaN            NaN   \n",
       "92           NaN       NaN            NaN       NaN            NaN   \n",
       "93      0.001885  5.275816       0.008096  3.583565       0.004051   \n",
       "94           NaN  5.067397       0.006718       NaN            NaN   \n",
       "95      0.000919  4.469538       0.003652  2.593207       0.006963   \n",
       "96      0.001469  4.548056       0.005950  2.594190       0.009294   \n",
       "97           NaN       NaN            NaN       NaN            NaN   \n",
       "98      0.001696  4.576463       0.005093  2.730673       0.012022   \n",
       "99      0.010694  3.643211       0.025978  5.765752       0.933069   \n",
       "100     0.001130  4.331069       0.003636  2.544979       0.006176   \n",
       "101     0.002169  4.651290       0.006022  2.695068       0.013990   \n",
       "102     0.001606  4.620283       0.011184  3.208003       0.012096   \n",
       "103     0.001165  4.401450       0.005135  1.508023       0.007755   \n",
       "104          NaN  5.286182       0.002070       NaN            NaN   \n",
       "105     0.000839  4.383970       0.002066  2.438506       0.006364   \n",
       "106          NaN  4.547556       0.006446       NaN            NaN   \n",
       "107     0.000832  4.437344       0.003452  2.403558       0.008190   \n",
       "108          NaN  4.596783       0.001845       NaN            NaN   \n",
       "109          NaN       NaN            NaN       NaN            NaN   \n",
       "110     0.001834  4.898295       0.004491  2.958908       0.018481   \n",
       "111          NaN  4.923626       0.006310       NaN            NaN   \n",
       "112          NaN  4.374678       0.004489       NaN            NaN   \n",
       "113     0.001163  4.587502       0.001793  2.832854       0.010795   \n",
       "114     0.001802  4.642187       0.003329  3.065676       0.012269   \n",
       "115     0.001540  4.459581       0.004908  2.860955       0.008171   \n",
       "116     0.000851  4.412451       0.005248  2.524626       0.020950   \n",
       "117          NaN       NaN            NaN       NaN            NaN   \n",
       "118     0.001124  4.588418       0.004096  2.945515       0.011444   \n",
       "119     0.000533  4.457593       0.002361  2.836766       0.005716   \n",
       "120          NaN  4.734737       0.003794       NaN            NaN   \n",
       "121     0.001539  4.789370       0.003651  3.005693       0.016595   \n",
       "122     0.002559  5.067933       0.007483  3.137587       0.011758   \n",
       "123     0.003026  4.358709       0.002643  1.390875       0.007947   \n",
       "124     0.001105  4.554083       0.007688  1.750864       0.009760   \n",
       "125     0.001761  4.786683       0.003033  2.893626       0.011948   \n",
       "126     0.001224  4.881202       0.003201  3.466566       0.005960   \n",
       "127     0.001058  5.159439       0.006066  3.424274       0.004591   \n",
       "128          NaN  4.850378       0.005571       NaN            NaN   \n",
       "129     0.001075  4.932021       0.003016  3.063404       0.010437   \n",
       "130     0.001696  4.245489       0.005355  2.301166       0.007796   \n",
       "131     0.000790  4.468850       0.002022  2.998332       0.004197   \n",
       "132          NaN  4.648080       0.006256       NaN            NaN   \n",
       "133          NaN  4.403805       0.004881       NaN            NaN   \n",
       "134          NaN  4.469024       0.008356       NaN            NaN   \n",
       "135     0.001713  4.762828       0.004418  2.790470       0.011770   \n",
       "136     0.000663  4.409389       0.003448  2.562258       0.005238   \n",
       "137     0.002950  4.463782       0.008997  2.028620       0.008943   \n",
       "138     0.001316  4.713027       0.003269  2.884054       0.011340   \n",
       "139     0.000999  4.381418       0.003517  2.662839       0.008312   \n",
       "140     0.001799  4.502743       0.004065  2.785080       0.014280   \n",
       "141          NaN  5.710502       0.007697       NaN            NaN   \n",
       "142     0.001590  4.705325       0.003433  2.107970       0.005720   \n",
       "143     0.001148  4.251993       0.003465  2.270598       0.006666   \n",
       "144     0.001146  4.315792       0.005239  2.445922       0.024920   \n",
       "145     0.002675  4.994388       0.014115  2.189960       0.034542   \n",
       "146     0.000884  4.405910       0.002415  2.431686       0.008260   \n",
       "147     0.001312  5.006802       0.005081  2.780821       0.010763   \n",
       "148     0.013049  4.784790       0.049452  3.349799       0.110254   \n",
       "149     0.002107  4.386753       0.008911  2.476153       0.016453   \n",
       "150     0.000806  4.757614       0.004863  1.746420       0.014042   \n",
       "151     0.001003  4.947885       0.006799  3.960100       0.017157   \n",
       "152          NaN  4.798844       0.015501       NaN            NaN   \n",
       "153     0.000788  4.198681       0.001559  2.257726       0.003011   \n",
       "154          NaN  4.327806       0.003224       NaN            NaN   \n",
       "155     0.000827  4.421172       0.002135  2.617212       0.004847   \n",
       "156          NaN       NaN            NaN       NaN            NaN   \n",
       "157     0.001166  4.311354       0.002522  2.489769       0.005965   \n",
       "158     0.001640  0.957888       0.002945  3.140309       0.004103   \n",
       "159     0.002353  4.466822       0.003696  1.879913       0.004629   \n",
       "160     0.001201  4.697018       0.004632  3.397799       0.008637   \n",
       "161          NaN       NaN            NaN       NaN            NaN   \n",
       "162          NaN  4.018331       0.040430       NaN            NaN   \n",
       "163          NaN  3.156511       0.002458       NaN            NaN   \n",
       "164          NaN  4.438879       0.010089       NaN            NaN   \n",
       "165     0.003059  5.582238       0.041324  4.058892       0.048887   \n",
       "166          NaN  4.646178       0.002505       NaN            NaN   \n",
       "167          NaN  4.870482       0.004930       NaN            NaN   \n",
       "168          NaN  4.614260       0.029808       NaN            NaN   \n",
       "169          NaN  4.356126       0.023126       NaN            NaN   \n",
       "170          NaN       NaN            NaN       NaN            NaN   \n",
       "171          NaN       NaN            NaN       NaN            NaN   \n",
       "172          NaN       NaN            NaN       NaN            NaN   \n",
       "173          NaN       NaN            NaN       NaN            NaN   \n",
       "174          NaN  3.097986       0.002570       NaN            NaN   \n",
       "175          NaN       NaN            NaN       NaN            NaN   \n",
       "176          NaN  1.208801       0.014017       NaN            NaN   \n",
       "177          NaN  3.100112       0.006010       NaN            NaN   \n",
       "178          NaN       NaN            NaN       NaN            NaN   \n",
       "179          NaN  1.799268       0.024691       NaN            NaN   \n",
       "180          NaN       NaN            NaN       NaN            NaN   \n",
       "181     0.001207  4.587333       0.003556  2.955971       0.012480   \n",
       "182          NaN  4.883798       0.008782       NaN            NaN   \n",
       "183          NaN  4.406574       0.015141       NaN            NaN   \n",
       "184          NaN  6.647796       0.007104       NaN            NaN   \n",
       "185          NaN  4.249828       0.011379       NaN            NaN   \n",
       "186          NaN       NaN            NaN       NaN            NaN   \n",
       "187          NaN       NaN            NaN       NaN            NaN   \n",
       "188     0.002248  1.699261       0.111845  6.096186       0.033549   \n",
       "189          NaN  4.842077       0.004736       NaN            NaN   \n",
       "190          NaN  5.157518       0.003045       NaN            NaN   \n",
       "191          NaN  4.823177       0.014168       NaN            NaN   \n",
       "192          NaN  6.553196       0.004980       NaN            NaN   \n",
       "193     0.002795  4.960789       0.028899  3.625536       0.065815   \n",
       "194          NaN  4.511371       0.004614       NaN            NaN   \n",
       "195          NaN  3.177493       0.055332       NaN            NaN   \n",
       "196     0.001184  4.199970       0.002539  2.084586       0.006531   \n",
       "197          NaN       NaN            NaN       NaN            NaN   \n",
       "198     0.001220  4.402027       0.038730  1.098412       0.012732   \n",
       "199          NaN  4.294410       0.028527       NaN            NaN   \n",
       "200          NaN  4.597067       0.001993       NaN            NaN   \n",
       "201          NaN  4.301994       0.002913       NaN            NaN   \n",
       "202          NaN  6.882696       0.009462       NaN            NaN   \n",
       "203     0.000779  4.508709       0.004438  2.826929       0.012892   \n",
       "204     0.001304  1.097712       0.023975  5.400098       0.010830   \n",
       "205          NaN  4.021233       0.003806       NaN            NaN   \n",
       "206     0.000872  4.470703       0.002255  2.536715       0.005524   \n",
       "207     0.004205  4.278117       0.010610  2.503795       0.015553   \n",
       "208     0.001509  4.935226       0.005761  3.156888       0.006623   \n",
       "209     0.002457  4.354881       0.010569  2.672038       0.030231   \n",
       "210     0.000977  4.968463       0.003267  3.020639       0.013065   \n",
       "211     0.001640  4.605081       0.005284  2.698974       0.013622   \n",
       "212          NaN  4.799260       0.003865       NaN            NaN   \n",
       "213     0.001030  4.914265       0.004176  2.640347       0.006729   \n",
       "214          NaN  4.594781       0.008466       NaN            NaN   \n",
       "215          NaN  4.914108       2.684559       NaN            NaN   \n",
       "216     0.001727  4.890671       0.010048  3.443304       0.028130   \n",
       "217     0.001966  3.429708       0.045838  0.378744       0.005540   \n",
       "218          NaN  5.100472       0.006544       NaN            NaN   \n",
       "219          NaN  4.455060       0.004030       NaN            NaN   \n",
       "220          NaN  4.819644       0.006168       NaN            NaN   \n",
       "221     0.004010  2.097780       0.033374  0.536381       0.007433   \n",
       "222          NaN  5.306827       0.004078       NaN            NaN   \n",
       "223          NaN  4.068592       0.003603       NaN            NaN   \n",
       "224          NaN  4.400611       0.018708       NaN            NaN   \n",
       "225          NaN  4.647610       0.002745       NaN            NaN   \n",
       "226          NaN  3.541140       0.004562       NaN            NaN   \n",
       "227     0.001026  4.436104       0.002932  1.019787       0.007726   \n",
       "228     0.001551  5.397928       0.008932  2.322367       0.032533   \n",
       "229          NaN  4.336367       0.011569       NaN            NaN   \n",
       "230          NaN       NaN            NaN       NaN            NaN   \n",
       "231     0.000668  4.351148       0.002372  2.591841       0.007989   \n",
       "232          NaN       NaN            NaN       NaN            NaN   \n",
       "233     0.000831  4.311305       0.002543  2.358105       0.005944   \n",
       "234     0.001889  4.752956       0.003625  2.700491       0.010232   \n",
       "235     0.000912  4.489973       0.002171  2.558928       0.006729   \n",
       "236          NaN  5.190804       0.004234       NaN            NaN   \n",
       "237          NaN       NaN            NaN       NaN            NaN   \n",
       "238          NaN       NaN            NaN       NaN            NaN   \n",
       "239     0.000543  3.590327       0.001686  0.529570       0.003616   \n",
       "240          NaN       NaN            NaN       NaN            NaN   \n",
       "241     0.001458  4.020853       0.002603  2.646487       0.007443   \n",
       "242     0.003297  5.240576       0.005364  3.974454       0.016443   \n",
       "243     0.002226  4.717201       0.003160  2.815202       0.007988   \n",
       "244     0.000782  4.644087       0.006631  2.935168       0.003301   \n",
       "245          NaN       NaN            NaN       NaN            NaN   \n",
       "246          NaN       NaN            NaN       NaN            NaN   \n",
       "247          NaN  3.581810       0.081798       NaN            NaN   \n",
       "248     0.000910  4.438912       0.004413  2.719308       0.012346   \n",
       "249          NaN  4.939141       0.003574       NaN            NaN   \n",
       "250     0.001456  4.979682       0.006437  3.109859       0.021649   \n",
       "251     0.001183  4.892879       0.003787  2.751084       0.007615   \n",
       "252     0.001045  5.100652       0.003735  3.671603       0.006301   \n",
       "253          NaN  3.931585       0.008417       NaN            NaN   \n",
       "254          NaN  4.840176       0.001784       NaN            NaN   \n",
       "255          NaN  5.037191       0.002239       NaN            NaN   \n",
       "256     0.004132  3.923480       0.041475  2.226232       0.035546   \n",
       "257     0.001321  4.407023       0.007842  2.625055       0.009977   \n",
       "258          NaN  5.030730       0.029661       NaN            NaN   \n",
       "259     0.000855  4.204472       0.002595  2.118323       0.012046   \n",
       "260          NaN       NaN            NaN       NaN            NaN   \n",
       "261          NaN  6.316662       0.015157       NaN            NaN   \n",
       "262          NaN  4.579018       0.021099       NaN            NaN   \n",
       "263     0.002047  5.026962       0.005652  3.064630       0.005865   \n",
       "264     0.001909  6.340095       0.020232  4.731929       0.044118   \n",
       "265          NaN  4.146596       0.021771       NaN            NaN   \n",
       "266     0.001398  4.550685       0.006641  3.197783       0.020449   \n",
       "267     0.000544  4.377341       0.001821  2.494083       0.006062   \n",
       "268          NaN  4.466450       0.002146       NaN            NaN   \n",
       "269          NaN  3.939708       0.017185       NaN            NaN   \n",
       "270     0.000766  4.594862       0.008979  4.482771       0.057135   \n",
       "271     0.001332  4.933034       0.014465  2.711540       0.096587   \n",
       "272          NaN  4.540081       0.002702       NaN            NaN   \n",
       "273          NaN  3.944447       1.009840       NaN            NaN   \n",
       "274          NaN  6.326687       0.004048       NaN            NaN   \n",
       "275     0.001032  4.593634       0.004175  2.514997       0.020462   \n",
       "276     0.001858  4.982491       0.004683  3.367122       0.066033   \n",
       "277     0.000853  4.503161       0.002546  2.781559       0.007209   \n",
       "278     0.001488  4.538660       0.007109  2.282432       0.018595   \n",
       "279          NaN       NaN            NaN       NaN            NaN   \n",
       "280          NaN  4.022496       0.003307       NaN            NaN   \n",
       "281     0.001209  4.655622       0.006543  2.655414       0.020512   \n",
       "282     0.000841  4.279729       0.003821  2.513532       0.004373   \n",
       "\n",
       "     num_clean_epochs_g  num_clean_epochs_bp  num_clean_epochs_rp  \\\n",
       "0                    25                   24                   24   \n",
       "1                    16                   15                   12   \n",
       "2                    15                   14                   15   \n",
       "3                    13                   12                   12   \n",
       "4                    14                   12                   12   \n",
       "5                    16                   14                   14   \n",
       "6                    16                   15                   16   \n",
       "7                    15                   13                   14   \n",
       "8                    15                   14                   15   \n",
       "9                    16                   15                   15   \n",
       "10                   16                   14                   14   \n",
       "11                   36                   33                   35   \n",
       "12                   34                   34                   34   \n",
       "13                   32                   30                   30   \n",
       "14                   36                   31                   33   \n",
       "15                   38                   31                   31   \n",
       "16                   42                   41                   41   \n",
       "17                   35                   31                   34   \n",
       "18                   54                   52                   52   \n",
       "19                   39                   33                   30   \n",
       "20                   34                   28                   28   \n",
       "21                   61                   56                   58   \n",
       "22                   60                   57                   53   \n",
       "23                   32                   30                   31   \n",
       "24                   27                   26                   26   \n",
       "25                   29                   24                   25   \n",
       "26                   35                   31                   29   \n",
       "27                   18                   17                   15   \n",
       "28                   17                   15                   17   \n",
       "29                   16                   14                   15   \n",
       "30                   31                   31                   28   \n",
       "31                   28                   22                   22   \n",
       "32                   27                   23                   24   \n",
       "33                   23                   21                   22   \n",
       "34                   29                   25                   25   \n",
       "35                   27                   26                   26   \n",
       "36                   24                   22                   23   \n",
       "37                   29                   30                   29   \n",
       "38                   24                   24                   24   \n",
       "39                   52                   50                   49   \n",
       "40                   37                   34                   34   \n",
       "41                   38                   32                   37   \n",
       "42                   45                   45                   46   \n",
       "43                   43                   38                   40   \n",
       "44                   39                   37                   35   \n",
       "45                  105                   99                   98   \n",
       "46                   48                   47                   46   \n",
       "47                   43                   39                   40   \n",
       "48                   41                   36                   37   \n",
       "49                   39                   39                   38   \n",
       "50                   40                   31                   34   \n",
       "51                   41                   37                   38   \n",
       "52                   40                   36                   36   \n",
       "53                   34                   31                   31   \n",
       "54                   36                   31                   31   \n",
       "55                   41                   37                   39   \n",
       "56                   36                   34                   33   \n",
       "57                   26                   26                   26   \n",
       "58                   24                   24                   23   \n",
       "59                   30                   27                   28   \n",
       "60                   26                   26                   26   \n",
       "61                   43                   42                   43   \n",
       "62                   41                   40                   40   \n",
       "63                   46                   45                   45   \n",
       "64                   58                   56                   57   \n",
       "65                   39                   39                   36   \n",
       "66                   35                   35                   36   \n",
       "67                   40                   39                   40   \n",
       "68                   36                   34                   32   \n",
       "69                   39                   39                   37   \n",
       "70                   35                   33                   34   \n",
       "71                   76                   76                   77   \n",
       "72                   74                   74                   72   \n",
       "73                   24                   25                   25   \n",
       "74                   35                   31                   31   \n",
       "75                   39                   37                   36   \n",
       "76                   39                   35                   36   \n",
       "77                   46                   45                   45   \n",
       "78                   47                   45                   44   \n",
       "79                   40                   36                   34   \n",
       "80                   42                   38                   36   \n",
       "81                   22                   21                   19   \n",
       "82                   41                   35                   36   \n",
       "83                   49                   47                   47   \n",
       "84                   37                   33                   35   \n",
       "85                   35                   27                   27   \n",
       "86                   24                   24                   24   \n",
       "87                   39                   35                   35   \n",
       "88                   25                   25                   24   \n",
       "89                   39                   37                   37   \n",
       "90                   61                   65                   64   \n",
       "91                   23                   25                   26   \n",
       "92                   31                   32                   34   \n",
       "93                   32                   31                   31   \n",
       "94                   37                   32                   34   \n",
       "95                   43                   40                   39   \n",
       "96                   40                   39                   40   \n",
       "97                   26                   23                   21   \n",
       "98                   36                   32                   31   \n",
       "99                   28                   26                   25   \n",
       "100                  38                   34                   36   \n",
       "101                  35                   28                   34   \n",
       "102                  39                   36                   34   \n",
       "103                  37                   34                   31   \n",
       "104                  30                   30                   28   \n",
       "105                  30                   23                   23   \n",
       "106                  27                   26                   28   \n",
       "107                  38                   35                   33   \n",
       "108                  32                   29                   29   \n",
       "109                  29                   27                   29   \n",
       "110                  28                   25                   25   \n",
       "111                  31                   27                   29   \n",
       "112                  35                   30                   29   \n",
       "113                  30                   28                   30   \n",
       "114                  34                   29                   31   \n",
       "115                  32                   30                   29   \n",
       "116                  39                   35                   35   \n",
       "117                  37                   34                   36   \n",
       "118                  32                   31                   30   \n",
       "119                  35                   33                   33   \n",
       "120                  28                   27                   28   \n",
       "121                  28                   28                   28   \n",
       "122                  32                   30                   31   \n",
       "123                  32                   27                   27   \n",
       "124                  32                   31                   31   \n",
       "125                  39                   39                   38   \n",
       "126                  37                   32                   34   \n",
       "127                  34                   31                   31   \n",
       "128                  32                   28                   30   \n",
       "129                  33                   31                   32   \n",
       "130                  35                   30                   33   \n",
       "131                  30                   27                   27   \n",
       "132                  33                   32                   33   \n",
       "133                  32                   30                   27   \n",
       "134                  28                   24                   25   \n",
       "135                  31                   26                   26   \n",
       "136                  34                   33                   32   \n",
       "137                  29                   28                   28   \n",
       "138                  28                   25                   25   \n",
       "139                  27                   26                   27   \n",
       "140                  29                   27                   26   \n",
       "141                  25                   25                   25   \n",
       "142                  30                   26                   27   \n",
       "143                  27                   25                   26   \n",
       "144                  30                   26                   29   \n",
       "145                  29                   25                   26   \n",
       "146                  30                   31                   31   \n",
       "147                  40                   31                   32   \n",
       "148                  26                   25                   25   \n",
       "149                  25                   21                   23   \n",
       "150                  38                   36                   34   \n",
       "151                  30                   25                   25   \n",
       "152                  26                   25                   26   \n",
       "153                  40                   35                   34   \n",
       "154                  27                   23                   22   \n",
       "155                  61                   52                   59   \n",
       "156                  22                   20                   21   \n",
       "157                  35                   32                   32   \n",
       "158                  20                   18                   18   \n",
       "159                  18                   16                   16   \n",
       "160                  34                   31                   32   \n",
       "161                  15                   13                   13   \n",
       "162                  18                   18                   17   \n",
       "163                  17                   16                   16   \n",
       "164                  19                   16                   18   \n",
       "165                  17                   14                   16   \n",
       "166                  15                   13                   13   \n",
       "167                  18                   15                   12   \n",
       "168                  18                   18                   18   \n",
       "169                  33                   35                   33   \n",
       "170                  19                   18                   18   \n",
       "171                  18                   17                   17   \n",
       "172                  18                   14                   16   \n",
       "173                  18                   16                   17   \n",
       "174                  15                   14                   15   \n",
       "175                  19                   17                   19   \n",
       "176                  17                   16                   15   \n",
       "177                  18                   17                   16   \n",
       "178                  13                   12                   13   \n",
       "179                  17                   15                   14   \n",
       "180                  14                   14                   14   \n",
       "181                  30                   28                   29   \n",
       "182                  17                   16                   15   \n",
       "183                  14                   14                   13   \n",
       "184                  17                   15                   13   \n",
       "185                  17                   16                   18   \n",
       "186                  14                   13                   13   \n",
       "187                  18                   17                   15   \n",
       "188                  33                   29                   31   \n",
       "189                  31                   27                   28   \n",
       "190                  17                   17                   17   \n",
       "191                  16                   14                   14   \n",
       "192                  18                   17                   15   \n",
       "193                  26                   23                   24   \n",
       "194                  23                   21                   20   \n",
       "195                  25                   25                   25   \n",
       "196                  30                   25                   28   \n",
       "197                  30                   28                   27   \n",
       "198                  36                   32                   34   \n",
       "199                  31                   30                   30   \n",
       "200                  35                   32                   30   \n",
       "201                  34                   29                   27   \n",
       "202                  31                   30                   29   \n",
       "203                  33                   28                   26   \n",
       "204                  28                   25                   25   \n",
       "205                  26                   24                   24   \n",
       "206                  29                   28                   28   \n",
       "207                  32                   30                   32   \n",
       "208                  38                   33                   34   \n",
       "209                  23                   21                   19   \n",
       "210                  46                   46                   46   \n",
       "211                  38                   35                   36   \n",
       "212                  41                   39                   38   \n",
       "213                  40                   38                   38   \n",
       "214                  37                   33                   34   \n",
       "215                  40                   40                   40   \n",
       "216                  39                   36                   40   \n",
       "217                  39                   35                   33   \n",
       "218                  29                   25                   24   \n",
       "219                  23                   22                   21   \n",
       "220                  25                   22                   21   \n",
       "221                  37                   32                   35   \n",
       "222                  34                   26                   30   \n",
       "223                  34                   31                   30   \n",
       "224                  32                   32                   30   \n",
       "225                  33                   32                   28   \n",
       "226                  35                   31                   31   \n",
       "227                  35                   34                   34   \n",
       "228                  34                   33                   34   \n",
       "229                  37                   32                   34   \n",
       "230                  27                   26                   25   \n",
       "231                  35                   28                   30   \n",
       "232                  34                   31                   32   \n",
       "233                  31                   27                   26   \n",
       "234                  27                   34                   28   \n",
       "235                  33                   34                   34   \n",
       "236                  27                   22                   23   \n",
       "237                  27                   28                   27   \n",
       "238                  28                   26                   25   \n",
       "239                  32                   28                   28   \n",
       "240                  29                   25                   24   \n",
       "241                  32                   31                   31   \n",
       "242                  28                   26                   27   \n",
       "243                  36                   35                   34   \n",
       "244                  45                   43                   43   \n",
       "245                  20                   23                   21   \n",
       "246                  28                   27                   24   \n",
       "247                  21                   24                   21   \n",
       "248                  26                   25                   26   \n",
       "249                  22                   25                   25   \n",
       "250                  24                   25                   24   \n",
       "251                  30                   27                   28   \n",
       "252                  31                   32                   30   \n",
       "253                  36                   34                   32   \n",
       "254                  36                   32                   31   \n",
       "255                  38                   35                   37   \n",
       "256                  31                   29                   31   \n",
       "257                  32                   36                   33   \n",
       "258                  59                   57                   55   \n",
       "259                  49                   48                   44   \n",
       "260                  36                   35                   32   \n",
       "261                  37                   33                   32   \n",
       "262                  37                   36                   36   \n",
       "263                  31                   29                   29   \n",
       "264                  25                   27                   27   \n",
       "265                  38                   41                   33   \n",
       "266                  43                   41                   39   \n",
       "267                  49                   45                   44   \n",
       "268                  42                   36                   41   \n",
       "269                  48                   54                   54   \n",
       "270                  41                   40                   38   \n",
       "271                  44                   39                   39   \n",
       "272                  27                   27                   27   \n",
       "273                  15                   14                   12   \n",
       "274                  29                   23                   23   \n",
       "275                  36                   32                   32   \n",
       "276                  39                   41                   39   \n",
       "277                  43                   42                   42   \n",
       "278                  26                   23                   24   \n",
       "279                  36                   33                   37   \n",
       "280                  42                   41                   42   \n",
       "281                  43                   41                   42   \n",
       "282                  45                   46                   47   \n",
       "\n",
       "     g_absorption  g_absorption_error type_best_classification  \\\n",
       "0             NaN                 NaN                     DCEP   \n",
       "1             NaN                 NaN                     DCEP   \n",
       "2             NaN                 NaN                     DCEP   \n",
       "3             NaN                 NaN                     DCEP   \n",
       "4             NaN                 NaN                     DCEP   \n",
       "5             NaN                 NaN                     DCEP   \n",
       "6             NaN                 NaN                     DCEP   \n",
       "7             NaN                 NaN                    T2CEP   \n",
       "8             NaN                 NaN                     DCEP   \n",
       "9             NaN                 NaN                     DCEP   \n",
       "10            NaN                 NaN                     DCEP   \n",
       "11            NaN                 NaN                     DCEP   \n",
       "12            NaN                 NaN                     DCEP   \n",
       "13            NaN                 NaN                     DCEP   \n",
       "14            NaN                 NaN                     DCEP   \n",
       "15            NaN                 NaN                     DCEP   \n",
       "16            NaN                 NaN                     DCEP   \n",
       "17            NaN                 NaN                     DCEP   \n",
       "18            NaN                 NaN                     DCEP   \n",
       "19            NaN                 NaN                     DCEP   \n",
       "20            NaN                 NaN                     DCEP   \n",
       "21            NaN                 NaN                     DCEP   \n",
       "22            NaN                 NaN                     DCEP   \n",
       "23            NaN                 NaN                     DCEP   \n",
       "24            NaN                 NaN                     DCEP   \n",
       "25            NaN                 NaN                     DCEP   \n",
       "26            NaN                 NaN                     DCEP   \n",
       "27            NaN                 NaN                     DCEP   \n",
       "28            NaN                 NaN                     DCEP   \n",
       "29            NaN                 NaN                     DCEP   \n",
       "30            NaN                 NaN                     DCEP   \n",
       "31            NaN                 NaN                     DCEP   \n",
       "32            NaN                 NaN                     DCEP   \n",
       "33            NaN                 NaN                     DCEP   \n",
       "34            NaN                 NaN                     DCEP   \n",
       "35            NaN                 NaN                     DCEP   \n",
       "36            NaN                 NaN                     DCEP   \n",
       "37            NaN                 NaN                     DCEP   \n",
       "38            NaN                 NaN                     DCEP   \n",
       "39            NaN                 NaN                     DCEP   \n",
       "40            NaN                 NaN                     DCEP   \n",
       "41            NaN                 NaN                     DCEP   \n",
       "42            NaN                 NaN                     DCEP   \n",
       "43            NaN                 NaN                     DCEP   \n",
       "44            NaN                 NaN                     DCEP   \n",
       "45            NaN                 NaN                     DCEP   \n",
       "46            NaN                 NaN                     DCEP   \n",
       "47            NaN                 NaN                     DCEP   \n",
       "48            NaN                 NaN                     DCEP   \n",
       "49            NaN                 NaN                     DCEP   \n",
       "50            NaN                 NaN                     DCEP   \n",
       "51            NaN                 NaN                    T2CEP   \n",
       "52            NaN                 NaN                     DCEP   \n",
       "53            NaN                 NaN                     DCEP   \n",
       "54            NaN                 NaN                     DCEP   \n",
       "55            NaN                 NaN                     DCEP   \n",
       "56            NaN                 NaN                     DCEP   \n",
       "57            NaN                 NaN                     DCEP   \n",
       "58            NaN                 NaN                     DCEP   \n",
       "59            NaN                 NaN                     DCEP   \n",
       "60            NaN                 NaN                     DCEP   \n",
       "61            NaN                 NaN                     DCEP   \n",
       "62            NaN                 NaN                     DCEP   \n",
       "63            NaN                 NaN                     DCEP   \n",
       "64            NaN                 NaN                     DCEP   \n",
       "65            NaN                 NaN                     DCEP   \n",
       "66            NaN                 NaN                     DCEP   \n",
       "67            NaN                 NaN                    T2CEP   \n",
       "68            NaN                 NaN                     DCEP   \n",
       "69            NaN                 NaN                     DCEP   \n",
       "70            NaN                 NaN                     DCEP   \n",
       "71            NaN                 NaN                     DCEP   \n",
       "72            NaN                 NaN                     DCEP   \n",
       "73            NaN                 NaN                     DCEP   \n",
       "74            NaN                 NaN                     DCEP   \n",
       "75            NaN                 NaN                     DCEP   \n",
       "76            NaN                 NaN                     DCEP   \n",
       "77            NaN                 NaN                     DCEP   \n",
       "78            NaN                 NaN                     DCEP   \n",
       "79            NaN                 NaN                     DCEP   \n",
       "80            NaN                 NaN                     DCEP   \n",
       "81            NaN                 NaN                     DCEP   \n",
       "82            NaN                 NaN                     DCEP   \n",
       "83            NaN                 NaN                     DCEP   \n",
       "84            NaN                 NaN                     DCEP   \n",
       "85            NaN                 NaN                     DCEP   \n",
       "86            NaN                 NaN                     DCEP   \n",
       "87            NaN                 NaN                     DCEP   \n",
       "88            NaN                 NaN                     DCEP   \n",
       "89            NaN                 NaN                     DCEP   \n",
       "90            NaN                 NaN                     DCEP   \n",
       "91            NaN                 NaN                     DCEP   \n",
       "92            NaN                 NaN                     DCEP   \n",
       "93            NaN                 NaN                     DCEP   \n",
       "94            NaN                 NaN                     DCEP   \n",
       "95            NaN                 NaN                     DCEP   \n",
       "96            NaN                 NaN                     DCEP   \n",
       "97            NaN                 NaN                     DCEP   \n",
       "98            NaN                 NaN                     DCEP   \n",
       "99            NaN                 NaN                     DCEP   \n",
       "100           NaN                 NaN                     DCEP   \n",
       "101           NaN                 NaN                     DCEP   \n",
       "102           NaN                 NaN                     DCEP   \n",
       "103           NaN                 NaN                     DCEP   \n",
       "104           NaN                 NaN                     DCEP   \n",
       "105           NaN                 NaN                     DCEP   \n",
       "106           NaN                 NaN                     DCEP   \n",
       "107           NaN                 NaN                     DCEP   \n",
       "108           NaN                 NaN                     DCEP   \n",
       "109           NaN                 NaN                     DCEP   \n",
       "110           NaN                 NaN                     DCEP   \n",
       "111           NaN                 NaN                     DCEP   \n",
       "112           NaN                 NaN                     DCEP   \n",
       "113           NaN                 NaN                     DCEP   \n",
       "114           NaN                 NaN                     DCEP   \n",
       "115           NaN                 NaN                     DCEP   \n",
       "116           NaN                 NaN                     DCEP   \n",
       "117           NaN                 NaN                     DCEP   \n",
       "118           NaN                 NaN                     DCEP   \n",
       "119           NaN                 NaN                     DCEP   \n",
       "120           NaN                 NaN                     DCEP   \n",
       "121           NaN                 NaN                     DCEP   \n",
       "122           NaN                 NaN                     DCEP   \n",
       "123           NaN                 NaN                     DCEP   \n",
       "124           NaN                 NaN                     DCEP   \n",
       "125           NaN                 NaN                     DCEP   \n",
       "126           NaN                 NaN                     DCEP   \n",
       "127           NaN                 NaN                     DCEP   \n",
       "128           NaN                 NaN                     DCEP   \n",
       "129           NaN                 NaN                     DCEP   \n",
       "130           NaN                 NaN                     DCEP   \n",
       "131           NaN                 NaN                     DCEP   \n",
       "132           NaN                 NaN                     DCEP   \n",
       "133           NaN                 NaN                     DCEP   \n",
       "134           NaN                 NaN                     DCEP   \n",
       "135           NaN                 NaN                     DCEP   \n",
       "136           NaN                 NaN                     DCEP   \n",
       "137           NaN                 NaN                     DCEP   \n",
       "138           NaN                 NaN                     DCEP   \n",
       "139           NaN                 NaN                     DCEP   \n",
       "140           NaN                 NaN                     DCEP   \n",
       "141           NaN                 NaN                     DCEP   \n",
       "142           NaN                 NaN                     DCEP   \n",
       "143           NaN                 NaN                     DCEP   \n",
       "144           NaN                 NaN                     DCEP   \n",
       "145           NaN                 NaN                     DCEP   \n",
       "146           NaN                 NaN                     DCEP   \n",
       "147           NaN                 NaN                     DCEP   \n",
       "148           NaN                 NaN                     DCEP   \n",
       "149           NaN                 NaN                     DCEP   \n",
       "150           NaN                 NaN                     DCEP   \n",
       "151           NaN                 NaN                     DCEP   \n",
       "152           NaN                 NaN                     DCEP   \n",
       "153           NaN                 NaN                     DCEP   \n",
       "154           NaN                 NaN                     DCEP   \n",
       "155           NaN                 NaN                     DCEP   \n",
       "156           NaN                 NaN                     DCEP   \n",
       "157           NaN                 NaN                     DCEP   \n",
       "158           NaN                 NaN                     DCEP   \n",
       "159           NaN                 NaN                     DCEP   \n",
       "160           NaN                 NaN                     DCEP   \n",
       "161           NaN                 NaN                     DCEP   \n",
       "162           NaN                 NaN                     DCEP   \n",
       "163           NaN                 NaN                     DCEP   \n",
       "164           NaN                 NaN                     DCEP   \n",
       "165           NaN                 NaN                     DCEP   \n",
       "166           NaN                 NaN                     DCEP   \n",
       "167           NaN                 NaN                     DCEP   \n",
       "168           NaN                 NaN                     DCEP   \n",
       "169           NaN                 NaN                     DCEP   \n",
       "170           NaN                 NaN                     DCEP   \n",
       "171           NaN                 NaN                     DCEP   \n",
       "172           NaN                 NaN                     DCEP   \n",
       "173           NaN                 NaN                     DCEP   \n",
       "174           NaN                 NaN                     DCEP   \n",
       "175           NaN                 NaN                     DCEP   \n",
       "176           NaN                 NaN                     DCEP   \n",
       "177           NaN                 NaN                     DCEP   \n",
       "178           NaN                 NaN                     DCEP   \n",
       "179           NaN                 NaN                     DCEP   \n",
       "180           NaN                 NaN                     DCEP   \n",
       "181           NaN                 NaN                     DCEP   \n",
       "182           NaN                 NaN                     DCEP   \n",
       "183           NaN                 NaN                     DCEP   \n",
       "184           NaN                 NaN                     DCEP   \n",
       "185           NaN                 NaN                     DCEP   \n",
       "186           NaN                 NaN                     DCEP   \n",
       "187           NaN                 NaN                     DCEP   \n",
       "188           NaN                 NaN                     DCEP   \n",
       "189           NaN                 NaN                     DCEP   \n",
       "190           NaN                 NaN                    T2CEP   \n",
       "191           NaN                 NaN                     DCEP   \n",
       "192           NaN                 NaN                     DCEP   \n",
       "193           NaN                 NaN                     DCEP   \n",
       "194           NaN                 NaN                     DCEP   \n",
       "195           NaN                 NaN                     DCEP   \n",
       "196           NaN                 NaN                     DCEP   \n",
       "197           NaN                 NaN                     DCEP   \n",
       "198           NaN                 NaN                     DCEP   \n",
       "199           NaN                 NaN                     DCEP   \n",
       "200           NaN                 NaN                     DCEP   \n",
       "201           NaN                 NaN                     DCEP   \n",
       "202           NaN                 NaN                     DCEP   \n",
       "203           NaN                 NaN                     DCEP   \n",
       "204           NaN                 NaN                     DCEP   \n",
       "205           NaN                 NaN                     DCEP   \n",
       "206           NaN                 NaN                     DCEP   \n",
       "207           NaN                 NaN                     DCEP   \n",
       "208           NaN                 NaN                     DCEP   \n",
       "209           NaN                 NaN                     DCEP   \n",
       "210           NaN                 NaN                     DCEP   \n",
       "211           NaN                 NaN                     DCEP   \n",
       "212           NaN                 NaN                     DCEP   \n",
       "213           NaN                 NaN                     DCEP   \n",
       "214           NaN                 NaN                     DCEP   \n",
       "215           NaN                 NaN                     DCEP   \n",
       "216           NaN                 NaN                     DCEP   \n",
       "217           NaN                 NaN                     DCEP   \n",
       "218           NaN                 NaN                     DCEP   \n",
       "219           NaN                 NaN                     DCEP   \n",
       "220           NaN                 NaN                     DCEP   \n",
       "221           NaN                 NaN                     DCEP   \n",
       "222           NaN                 NaN                     DCEP   \n",
       "223           NaN                 NaN                     DCEP   \n",
       "224           NaN                 NaN                     DCEP   \n",
       "225           NaN                 NaN                     DCEP   \n",
       "226           NaN                 NaN                     DCEP   \n",
       "227           NaN                 NaN                     DCEP   \n",
       "228           NaN                 NaN                     DCEP   \n",
       "229           NaN                 NaN                     DCEP   \n",
       "230           NaN                 NaN                     DCEP   \n",
       "231           NaN                 NaN                     DCEP   \n",
       "232           NaN                 NaN                     DCEP   \n",
       "233           NaN                 NaN                     DCEP   \n",
       "234           NaN                 NaN                     DCEP   \n",
       "235           NaN                 NaN                     DCEP   \n",
       "236           NaN                 NaN                     DCEP   \n",
       "237           NaN                 NaN                     DCEP   \n",
       "238           NaN                 NaN                     DCEP   \n",
       "239           NaN                 NaN                     DCEP   \n",
       "240           NaN                 NaN                     DCEP   \n",
       "241           NaN                 NaN                     DCEP   \n",
       "242           NaN                 NaN                     DCEP   \n",
       "243           NaN                 NaN                     DCEP   \n",
       "244           NaN                 NaN                     DCEP   \n",
       "245           NaN                 NaN                     DCEP   \n",
       "246           NaN                 NaN                     DCEP   \n",
       "247           NaN                 NaN                     DCEP   \n",
       "248           NaN                 NaN                     DCEP   \n",
       "249           NaN                 NaN                     DCEP   \n",
       "250           NaN                 NaN                    T2CEP   \n",
       "251           NaN                 NaN                     DCEP   \n",
       "252           NaN                 NaN                     DCEP   \n",
       "253           NaN                 NaN                     DCEP   \n",
       "254           NaN                 NaN                     DCEP   \n",
       "255           NaN                 NaN                     DCEP   \n",
       "256           NaN                 NaN                     DCEP   \n",
       "257           NaN                 NaN                     DCEP   \n",
       "258           NaN                 NaN                     DCEP   \n",
       "259           NaN                 NaN                     DCEP   \n",
       "260           NaN                 NaN                     DCEP   \n",
       "261           NaN                 NaN                     DCEP   \n",
       "262           NaN                 NaN                     DCEP   \n",
       "263           NaN                 NaN                     DCEP   \n",
       "264           NaN                 NaN                     DCEP   \n",
       "265           NaN                 NaN                     DCEP   \n",
       "266           NaN                 NaN                     DCEP   \n",
       "267           NaN                 NaN                     DCEP   \n",
       "268           NaN                 NaN                     DCEP   \n",
       "269           NaN                 NaN                     DCEP   \n",
       "270           NaN                 NaN                     DCEP   \n",
       "271           NaN                 NaN                     DCEP   \n",
       "272           NaN                 NaN                     DCEP   \n",
       "273           NaN                 NaN                     DCEP   \n",
       "274           NaN                 NaN                     DCEP   \n",
       "275           NaN                 NaN                     DCEP   \n",
       "276           NaN                 NaN                     DCEP   \n",
       "277           NaN                 NaN                     DCEP   \n",
       "278           NaN                 NaN                     DCEP   \n",
       "279           NaN                 NaN                     DCEP   \n",
       "280           NaN                 NaN                     DCEP   \n",
       "281           NaN                 NaN                     DCEP   \n",
       "282           NaN                 NaN                     DCEP   \n",
       "\n",
       "    type2_best_sub_classification mode_best_classification  \\\n",
       "0                             NaN              FUNDAMENTAL   \n",
       "1                             NaN              FUNDAMENTAL   \n",
       "2                             NaN              FUNDAMENTAL   \n",
       "3                             NaN           FIRST_OVERTONE   \n",
       "4                             NaN              FUNDAMENTAL   \n",
       "5                             NaN           FIRST_OVERTONE   \n",
       "6                             NaN              FUNDAMENTAL   \n",
       "7                          RV_TAU           NOT_APPLICABLE   \n",
       "8                             NaN              FUNDAMENTAL   \n",
       "9                             NaN              FUNDAMENTAL   \n",
       "10                            NaN              FUNDAMENTAL   \n",
       "11                            NaN              FUNDAMENTAL   \n",
       "12                            NaN              FUNDAMENTAL   \n",
       "13                            NaN              FUNDAMENTAL   \n",
       "14                            NaN              FUNDAMENTAL   \n",
       "15                            NaN              FUNDAMENTAL   \n",
       "16                            NaN              FUNDAMENTAL   \n",
       "17                            NaN              FUNDAMENTAL   \n",
       "18                            NaN              FUNDAMENTAL   \n",
       "19                            NaN              FUNDAMENTAL   \n",
       "20                            NaN              FUNDAMENTAL   \n",
       "21                            NaN              FUNDAMENTAL   \n",
       "22                            NaN           FIRST_OVERTONE   \n",
       "23                            NaN              FUNDAMENTAL   \n",
       "24                            NaN              FUNDAMENTAL   \n",
       "25                            NaN              FUNDAMENTAL   \n",
       "26                            NaN              FUNDAMENTAL   \n",
       "27                            NaN              FUNDAMENTAL   \n",
       "28                            NaN              FUNDAMENTAL   \n",
       "29                            NaN              FUNDAMENTAL   \n",
       "30                            NaN              FUNDAMENTAL   \n",
       "31                            NaN              FUNDAMENTAL   \n",
       "32                            NaN              FUNDAMENTAL   \n",
       "33                            NaN              FUNDAMENTAL   \n",
       "34                            NaN              FUNDAMENTAL   \n",
       "35                            NaN              FUNDAMENTAL   \n",
       "36                            NaN           FIRST_OVERTONE   \n",
       "37                            NaN              FUNDAMENTAL   \n",
       "38                            NaN              FUNDAMENTAL   \n",
       "39                            NaN              FUNDAMENTAL   \n",
       "40                            NaN           FIRST_OVERTONE   \n",
       "41                            NaN              FUNDAMENTAL   \n",
       "42                            NaN              FUNDAMENTAL   \n",
       "43                            NaN              FUNDAMENTAL   \n",
       "44                            NaN              FUNDAMENTAL   \n",
       "45                            NaN           FIRST_OVERTONE   \n",
       "46                            NaN           FIRST_OVERTONE   \n",
       "47                            NaN              FUNDAMENTAL   \n",
       "48                            NaN              FUNDAMENTAL   \n",
       "49                            NaN           FIRST_OVERTONE   \n",
       "50                            NaN              FUNDAMENTAL   \n",
       "51                          W_VIR           NOT_APPLICABLE   \n",
       "52                            NaN              FUNDAMENTAL   \n",
       "53                            NaN              FUNDAMENTAL   \n",
       "54                            NaN              FUNDAMENTAL   \n",
       "55                            NaN                    MULTI   \n",
       "56                            NaN              FUNDAMENTAL   \n",
       "57                            NaN              FUNDAMENTAL   \n",
       "58                            NaN              FUNDAMENTAL   \n",
       "59                            NaN              FUNDAMENTAL   \n",
       "60                            NaN              FUNDAMENTAL   \n",
       "61                            NaN                    MULTI   \n",
       "62                            NaN              FUNDAMENTAL   \n",
       "63                            NaN              FUNDAMENTAL   \n",
       "64                            NaN              FUNDAMENTAL   \n",
       "65                            NaN              FUNDAMENTAL   \n",
       "66                            NaN              FUNDAMENTAL   \n",
       "67                          W_VIR           NOT_APPLICABLE   \n",
       "68                            NaN              FUNDAMENTAL   \n",
       "69                            NaN              FUNDAMENTAL   \n",
       "70                            NaN           FIRST_OVERTONE   \n",
       "71                            NaN              FUNDAMENTAL   \n",
       "72                            NaN              FUNDAMENTAL   \n",
       "73                            NaN              FUNDAMENTAL   \n",
       "74                            NaN              FUNDAMENTAL   \n",
       "75                            NaN              FUNDAMENTAL   \n",
       "76                            NaN              FUNDAMENTAL   \n",
       "77                            NaN              FUNDAMENTAL   \n",
       "78                            NaN           FIRST_OVERTONE   \n",
       "79                            NaN              FUNDAMENTAL   \n",
       "80                            NaN              FUNDAMENTAL   \n",
       "81                            NaN           FIRST_OVERTONE   \n",
       "82                            NaN              FUNDAMENTAL   \n",
       "83                            NaN              FUNDAMENTAL   \n",
       "84                            NaN              FUNDAMENTAL   \n",
       "85                            NaN              FUNDAMENTAL   \n",
       "86                            NaN              FUNDAMENTAL   \n",
       "87                            NaN              FUNDAMENTAL   \n",
       "88                            NaN              FUNDAMENTAL   \n",
       "89                            NaN              FUNDAMENTAL   \n",
       "90                            NaN           FIRST_OVERTONE   \n",
       "91                            NaN              FUNDAMENTAL   \n",
       "92                            NaN              FUNDAMENTAL   \n",
       "93                            NaN              FUNDAMENTAL   \n",
       "94                            NaN              FUNDAMENTAL   \n",
       "95                            NaN              FUNDAMENTAL   \n",
       "96                            NaN              FUNDAMENTAL   \n",
       "97                            NaN              FUNDAMENTAL   \n",
       "98                            NaN              FUNDAMENTAL   \n",
       "99                            NaN           FIRST_OVERTONE   \n",
       "100                           NaN              FUNDAMENTAL   \n",
       "101                           NaN              FUNDAMENTAL   \n",
       "102                           NaN              FUNDAMENTAL   \n",
       "103                           NaN              FUNDAMENTAL   \n",
       "104                           NaN              FUNDAMENTAL   \n",
       "105                           NaN              FUNDAMENTAL   \n",
       "106                           NaN              FUNDAMENTAL   \n",
       "107                           NaN              FUNDAMENTAL   \n",
       "108                           NaN              FUNDAMENTAL   \n",
       "109                           NaN              FUNDAMENTAL   \n",
       "110                           NaN              FUNDAMENTAL   \n",
       "111                           NaN              FUNDAMENTAL   \n",
       "112                           NaN              FUNDAMENTAL   \n",
       "113                           NaN              FUNDAMENTAL   \n",
       "114                           NaN              FUNDAMENTAL   \n",
       "115                           NaN              FUNDAMENTAL   \n",
       "116                           NaN              FUNDAMENTAL   \n",
       "117                           NaN              FUNDAMENTAL   \n",
       "118                           NaN              FUNDAMENTAL   \n",
       "119                           NaN              FUNDAMENTAL   \n",
       "120                           NaN              FUNDAMENTAL   \n",
       "121                           NaN              FUNDAMENTAL   \n",
       "122                           NaN              FUNDAMENTAL   \n",
       "123                           NaN              FUNDAMENTAL   \n",
       "124                           NaN              FUNDAMENTAL   \n",
       "125                           NaN              FUNDAMENTAL   \n",
       "126                           NaN              FUNDAMENTAL   \n",
       "127                           NaN              FUNDAMENTAL   \n",
       "128                           NaN              FUNDAMENTAL   \n",
       "129                           NaN              FUNDAMENTAL   \n",
       "130                           NaN              FUNDAMENTAL   \n",
       "131                           NaN              FUNDAMENTAL   \n",
       "132                           NaN              FUNDAMENTAL   \n",
       "133                           NaN              FUNDAMENTAL   \n",
       "134                           NaN              FUNDAMENTAL   \n",
       "135                           NaN              FUNDAMENTAL   \n",
       "136                           NaN              FUNDAMENTAL   \n",
       "137                           NaN              FUNDAMENTAL   \n",
       "138                           NaN              FUNDAMENTAL   \n",
       "139                           NaN              FUNDAMENTAL   \n",
       "140                           NaN              FUNDAMENTAL   \n",
       "141                           NaN              FUNDAMENTAL   \n",
       "142                           NaN              FUNDAMENTAL   \n",
       "143                           NaN              FUNDAMENTAL   \n",
       "144                           NaN              FUNDAMENTAL   \n",
       "145                           NaN              FUNDAMENTAL   \n",
       "146                           NaN              FUNDAMENTAL   \n",
       "147                           NaN              FUNDAMENTAL   \n",
       "148                           NaN              FUNDAMENTAL   \n",
       "149                           NaN              FUNDAMENTAL   \n",
       "150                           NaN              FUNDAMENTAL   \n",
       "151                           NaN              FUNDAMENTAL   \n",
       "152                           NaN           FIRST_OVERTONE   \n",
       "153                           NaN              FUNDAMENTAL   \n",
       "154                           NaN              FUNDAMENTAL   \n",
       "155                           NaN              FUNDAMENTAL   \n",
       "156                           NaN              FUNDAMENTAL   \n",
       "157                           NaN              FUNDAMENTAL   \n",
       "158                           NaN              FUNDAMENTAL   \n",
       "159                           NaN              FUNDAMENTAL   \n",
       "160                           NaN              FUNDAMENTAL   \n",
       "161                           NaN           FIRST_OVERTONE   \n",
       "162                           NaN           FIRST_OVERTONE   \n",
       "163                           NaN              FUNDAMENTAL   \n",
       "164                           NaN           FIRST_OVERTONE   \n",
       "165                           NaN              FUNDAMENTAL   \n",
       "166                           NaN              FUNDAMENTAL   \n",
       "167                           NaN              FUNDAMENTAL   \n",
       "168                           NaN           FIRST_OVERTONE   \n",
       "169                           NaN           FIRST_OVERTONE   \n",
       "170                           NaN              FUNDAMENTAL   \n",
       "171                           NaN              FUNDAMENTAL   \n",
       "172                           NaN           FIRST_OVERTONE   \n",
       "173                           NaN           FIRST_OVERTONE   \n",
       "174                           NaN              FUNDAMENTAL   \n",
       "175                           NaN           FIRST_OVERTONE   \n",
       "176                           NaN              FUNDAMENTAL   \n",
       "177                           NaN              FUNDAMENTAL   \n",
       "178                           NaN              FUNDAMENTAL   \n",
       "179                           NaN              FUNDAMENTAL   \n",
       "180                           NaN              FUNDAMENTAL   \n",
       "181                           NaN              FUNDAMENTAL   \n",
       "182                           NaN              FUNDAMENTAL   \n",
       "183                           NaN              FUNDAMENTAL   \n",
       "184                           NaN              FUNDAMENTAL   \n",
       "185                           NaN                    MULTI   \n",
       "186                           NaN           FIRST_OVERTONE   \n",
       "187                           NaN              FUNDAMENTAL   \n",
       "188                           NaN              FUNDAMENTAL   \n",
       "189                           NaN              FUNDAMENTAL   \n",
       "190                         W_VIR           NOT_APPLICABLE   \n",
       "191                           NaN              FUNDAMENTAL   \n",
       "192                           NaN           FIRST_OVERTONE   \n",
       "193                           NaN              FUNDAMENTAL   \n",
       "194                           NaN              FUNDAMENTAL   \n",
       "195                           NaN           FIRST_OVERTONE   \n",
       "196                           NaN              FUNDAMENTAL   \n",
       "197                           NaN              FUNDAMENTAL   \n",
       "198                           NaN              FUNDAMENTAL   \n",
       "199                           NaN           FIRST_OVERTONE   \n",
       "200                           NaN              FUNDAMENTAL   \n",
       "201                           NaN                    MULTI   \n",
       "202                           NaN              FUNDAMENTAL   \n",
       "203                           NaN              FUNDAMENTAL   \n",
       "204                           NaN              FUNDAMENTAL   \n",
       "205                           NaN              FUNDAMENTAL   \n",
       "206                           NaN              FUNDAMENTAL   \n",
       "207                           NaN              FUNDAMENTAL   \n",
       "208                           NaN              FUNDAMENTAL   \n",
       "209                           NaN              FUNDAMENTAL   \n",
       "210                           NaN              FUNDAMENTAL   \n",
       "211                           NaN              FUNDAMENTAL   \n",
       "212                           NaN              FUNDAMENTAL   \n",
       "213                           NaN              FUNDAMENTAL   \n",
       "214                           NaN           FIRST_OVERTONE   \n",
       "215                           NaN              FUNDAMENTAL   \n",
       "216                           NaN              FUNDAMENTAL   \n",
       "217                           NaN              FUNDAMENTAL   \n",
       "218                           NaN              FUNDAMENTAL   \n",
       "219                           NaN              FUNDAMENTAL   \n",
       "220                           NaN              FUNDAMENTAL   \n",
       "221                           NaN              FUNDAMENTAL   \n",
       "222                           NaN              FUNDAMENTAL   \n",
       "223                           NaN                    MULTI   \n",
       "224                           NaN           FIRST_OVERTONE   \n",
       "225                           NaN              FUNDAMENTAL   \n",
       "226                           NaN           FIRST_OVERTONE   \n",
       "227                           NaN              FUNDAMENTAL   \n",
       "228                           NaN              FUNDAMENTAL   \n",
       "229                           NaN              FUNDAMENTAL   \n",
       "230                           NaN              FUNDAMENTAL   \n",
       "231                           NaN              FUNDAMENTAL   \n",
       "232                           NaN              FUNDAMENTAL   \n",
       "233                           NaN              FUNDAMENTAL   \n",
       "234                           NaN              FUNDAMENTAL   \n",
       "235                           NaN              FUNDAMENTAL   \n",
       "236                           NaN              FUNDAMENTAL   \n",
       "237                           NaN              FUNDAMENTAL   \n",
       "238                           NaN              FUNDAMENTAL   \n",
       "239                           NaN              FUNDAMENTAL   \n",
       "240                           NaN           FIRST_OVERTONE   \n",
       "241                           NaN              FUNDAMENTAL   \n",
       "242                           NaN              FUNDAMENTAL   \n",
       "243                           NaN              FUNDAMENTAL   \n",
       "244                           NaN              FUNDAMENTAL   \n",
       "245                           NaN              FUNDAMENTAL   \n",
       "246                           NaN                    MULTI   \n",
       "247                           NaN           FIRST_OVERTONE   \n",
       "248                           NaN              FUNDAMENTAL   \n",
       "249                           NaN              FUNDAMENTAL   \n",
       "250                         W_VIR           NOT_APPLICABLE   \n",
       "251                           NaN              FUNDAMENTAL   \n",
       "252                           NaN              FUNDAMENTAL   \n",
       "253                           NaN           FIRST_OVERTONE   \n",
       "254                           NaN              FUNDAMENTAL   \n",
       "255                           NaN              FUNDAMENTAL   \n",
       "256                           NaN           FIRST_OVERTONE   \n",
       "257                           NaN              FUNDAMENTAL   \n",
       "258                           NaN           FIRST_OVERTONE   \n",
       "259                           NaN              FUNDAMENTAL   \n",
       "260                           NaN              FUNDAMENTAL   \n",
       "261                           NaN              FUNDAMENTAL   \n",
       "262                           NaN           FIRST_OVERTONE   \n",
       "263                           NaN              FUNDAMENTAL   \n",
       "264                           NaN              FUNDAMENTAL   \n",
       "265                           NaN              FUNDAMENTAL   \n",
       "266                           NaN              FUNDAMENTAL   \n",
       "267                           NaN              FUNDAMENTAL   \n",
       "268                           NaN              FUNDAMENTAL   \n",
       "269                           NaN              FUNDAMENTAL   \n",
       "270                           NaN           FIRST_OVERTONE   \n",
       "271                           NaN              FUNDAMENTAL   \n",
       "272                           NaN              FUNDAMENTAL   \n",
       "273                           NaN           FIRST_OVERTONE   \n",
       "274                           NaN              FUNDAMENTAL   \n",
       "275                           NaN              FUNDAMENTAL   \n",
       "276                           NaN              FUNDAMENTAL   \n",
       "277                           NaN              FUNDAMENTAL   \n",
       "278                           NaN              FUNDAMENTAL   \n",
       "279                           NaN              FUNDAMENTAL   \n",
       "280                           NaN              FUNDAMENTAL   \n",
       "281                           NaN              FUNDAMENTAL   \n",
       "282                           NaN              FUNDAMENTAL   \n",
       "\n",
       "    multi_mode_best_classification  \n",
       "0                              NaN  \n",
       "1                              NaN  \n",
       "2                              NaN  \n",
       "3                              NaN  \n",
       "4                              NaN  \n",
       "5                              NaN  \n",
       "6                              NaN  \n",
       "7                              NaN  \n",
       "8                              NaN  \n",
       "9                              NaN  \n",
       "10                             NaN  \n",
       "11                             NaN  \n",
       "12                             NaN  \n",
       "13                             NaN  \n",
       "14                             NaN  \n",
       "15                             NaN  \n",
       "16                             NaN  \n",
       "17                             NaN  \n",
       "18                             NaN  \n",
       "19                             NaN  \n",
       "20                             NaN  \n",
       "21                             NaN  \n",
       "22                             NaN  \n",
       "23                             NaN  \n",
       "24                             NaN  \n",
       "25                             NaN  \n",
       "26                             NaN  \n",
       "27                             NaN  \n",
       "28                             NaN  \n",
       "29                             NaN  \n",
       "30                             NaN  \n",
       "31                             NaN  \n",
       "32                             NaN  \n",
       "33                             NaN  \n",
       "34                             NaN  \n",
       "35                             NaN  \n",
       "36                             NaN  \n",
       "37                             NaN  \n",
       "38                             NaN  \n",
       "39                             NaN  \n",
       "40                             NaN  \n",
       "41                             NaN  \n",
       "42                             NaN  \n",
       "43                             NaN  \n",
       "44                             NaN  \n",
       "45                             NaN  \n",
       "46                             NaN  \n",
       "47                             NaN  \n",
       "48                             NaN  \n",
       "49                             NaN  \n",
       "50                             NaN  \n",
       "51                             NaN  \n",
       "52                             NaN  \n",
       "53                             NaN  \n",
       "54                             NaN  \n",
       "55                           1O/2O  \n",
       "56                             NaN  \n",
       "57                             NaN  \n",
       "58                             NaN  \n",
       "59                             NaN  \n",
       "60                             NaN  \n",
       "61                            F/1O  \n",
       "62                             NaN  \n",
       "63                             NaN  \n",
       "64                             NaN  \n",
       "65                             NaN  \n",
       "66                             NaN  \n",
       "67                             NaN  \n",
       "68                             NaN  \n",
       "69                             NaN  \n",
       "70                             NaN  \n",
       "71                             NaN  \n",
       "72                             NaN  \n",
       "73                             NaN  \n",
       "74                             NaN  \n",
       "75                             NaN  \n",
       "76                             NaN  \n",
       "77                             NaN  \n",
       "78                             NaN  \n",
       "79                             NaN  \n",
       "80                             NaN  \n",
       "81                             NaN  \n",
       "82                             NaN  \n",
       "83                             NaN  \n",
       "84                             NaN  \n",
       "85                             NaN  \n",
       "86                             NaN  \n",
       "87                             NaN  \n",
       "88                             NaN  \n",
       "89                             NaN  \n",
       "90                             NaN  \n",
       "91                             NaN  \n",
       "92                             NaN  \n",
       "93                             NaN  \n",
       "94                             NaN  \n",
       "95                             NaN  \n",
       "96                             NaN  \n",
       "97                             NaN  \n",
       "98                             NaN  \n",
       "99                             NaN  \n",
       "100                            NaN  \n",
       "101                            NaN  \n",
       "102                            NaN  \n",
       "103                            NaN  \n",
       "104                            NaN  \n",
       "105                            NaN  \n",
       "106                            NaN  \n",
       "107                            NaN  \n",
       "108                            NaN  \n",
       "109                            NaN  \n",
       "110                            NaN  \n",
       "111                            NaN  \n",
       "112                            NaN  \n",
       "113                            NaN  \n",
       "114                            NaN  \n",
       "115                            NaN  \n",
       "116                            NaN  \n",
       "117                            NaN  \n",
       "118                            NaN  \n",
       "119                            NaN  \n",
       "120                            NaN  \n",
       "121                            NaN  \n",
       "122                            NaN  \n",
       "123                            NaN  \n",
       "124                            NaN  \n",
       "125                            NaN  \n",
       "126                            NaN  \n",
       "127                            NaN  \n",
       "128                            NaN  \n",
       "129                            NaN  \n",
       "130                            NaN  \n",
       "131                            NaN  \n",
       "132                            NaN  \n",
       "133                            NaN  \n",
       "134                            NaN  \n",
       "135                            NaN  \n",
       "136                            NaN  \n",
       "137                            NaN  \n",
       "138                            NaN  \n",
       "139                            NaN  \n",
       "140                            NaN  \n",
       "141                            NaN  \n",
       "142                            NaN  \n",
       "143                            NaN  \n",
       "144                            NaN  \n",
       "145                            NaN  \n",
       "146                            NaN  \n",
       "147                            NaN  \n",
       "148                            NaN  \n",
       "149                            NaN  \n",
       "150                            NaN  \n",
       "151                            NaN  \n",
       "152                            NaN  \n",
       "153                            NaN  \n",
       "154                            NaN  \n",
       "155                            NaN  \n",
       "156                            NaN  \n",
       "157                            NaN  \n",
       "158                            NaN  \n",
       "159                            NaN  \n",
       "160                            NaN  \n",
       "161                            NaN  \n",
       "162                            NaN  \n",
       "163                            NaN  \n",
       "164                            NaN  \n",
       "165                            NaN  \n",
       "166                            NaN  \n",
       "167                            NaN  \n",
       "168                            NaN  \n",
       "169                            NaN  \n",
       "170                            NaN  \n",
       "171                            NaN  \n",
       "172                            NaN  \n",
       "173                            NaN  \n",
       "174                            NaN  \n",
       "175                            NaN  \n",
       "176                            NaN  \n",
       "177                            NaN  \n",
       "178                            NaN  \n",
       "179                            NaN  \n",
       "180                            NaN  \n",
       "181                            NaN  \n",
       "182                            NaN  \n",
       "183                            NaN  \n",
       "184                            NaN  \n",
       "185                           F/1O  \n",
       "186                            NaN  \n",
       "187                            NaN  \n",
       "188                            NaN  \n",
       "189                            NaN  \n",
       "190                            NaN  \n",
       "191                            NaN  \n",
       "192                            NaN  \n",
       "193                            NaN  \n",
       "194                            NaN  \n",
       "195                            NaN  \n",
       "196                            NaN  \n",
       "197                            NaN  \n",
       "198                            NaN  \n",
       "199                            NaN  \n",
       "200                            NaN  \n",
       "201                           F/1O  \n",
       "202                            NaN  \n",
       "203                            NaN  \n",
       "204                            NaN  \n",
       "205                            NaN  \n",
       "206                            NaN  \n",
       "207                            NaN  \n",
       "208                            NaN  \n",
       "209                            NaN  \n",
       "210                            NaN  \n",
       "211                            NaN  \n",
       "212                            NaN  \n",
       "213                            NaN  \n",
       "214                            NaN  \n",
       "215                            NaN  \n",
       "216                            NaN  \n",
       "217                            NaN  \n",
       "218                            NaN  \n",
       "219                            NaN  \n",
       "220                            NaN  \n",
       "221                            NaN  \n",
       "222                            NaN  \n",
       "223                           F/1O  \n",
       "224                            NaN  \n",
       "225                            NaN  \n",
       "226                            NaN  \n",
       "227                            NaN  \n",
       "228                            NaN  \n",
       "229                            NaN  \n",
       "230                            NaN  \n",
       "231                            NaN  \n",
       "232                            NaN  \n",
       "233                            NaN  \n",
       "234                            NaN  \n",
       "235                            NaN  \n",
       "236                            NaN  \n",
       "237                            NaN  \n",
       "238                            NaN  \n",
       "239                            NaN  \n",
       "240                            NaN  \n",
       "241                            NaN  \n",
       "242                            NaN  \n",
       "243                            NaN  \n",
       "244                            NaN  \n",
       "245                            NaN  \n",
       "246                           F/1O  \n",
       "247                            NaN  \n",
       "248                            NaN  \n",
       "249                            NaN  \n",
       "250                            NaN  \n",
       "251                            NaN  \n",
       "252                            NaN  \n",
       "253                            NaN  \n",
       "254                            NaN  \n",
       "255                            NaN  \n",
       "256                            NaN  \n",
       "257                            NaN  \n",
       "258                            NaN  \n",
       "259                            NaN  \n",
       "260                            NaN  \n",
       "261                            NaN  \n",
       "262                            NaN  \n",
       "263                            NaN  \n",
       "264                            NaN  \n",
       "265                            NaN  \n",
       "266                            NaN  \n",
       "267                            NaN  \n",
       "268                            NaN  \n",
       "269                            NaN  \n",
       "270                            NaN  \n",
       "271                            NaN  \n",
       "272                            NaN  \n",
       "273                            NaN  \n",
       "274                            NaN  \n",
       "275                            NaN  \n",
       "276                            NaN  \n",
       "277                            NaN  \n",
       "278                            NaN  \n",
       "279                            NaN  \n",
       "280                            NaN  \n",
       "281                            NaN  \n",
       "282                            NaN  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_all = pd.read_csv(data_dir + 'badass_table_of_awesomeness.csv')\n",
    "\n",
    "# Force Jupyter to display the whole table for us to gawk at\n",
    "with pd.option_context('display.max_rows', None, 'display.max_columns', 200):\n",
    "    display(data_all)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On errors, Genovali et al. 2014: \n",
    "\n",
    "The individual  NIR  measurements  of  the  former  sample  cover the  entire  pulsation  cycle  and  the  accuracy of mean J, H, Ks magnitudes  is  typically  better  than  0.01  mag"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Band U contains 0 measurements\n",
      "Band B contains 214 measurements\n",
      "Band V contains 184 measurements\n",
      "Band g contains 0 measurements\n",
      "Band R contains 9 measurements\n",
      "Band rxa contains 0 measurements\n",
      "Band I contains 0 measurements\n",
      "Band Z contains 0 measurements\n",
      "Band J contains 230 measurements\n",
      "Band H contains 230 measurements\n",
      "Band K contains 230 measurements\n"
     ]
    }
   ],
   "source": [
    "# Define all the columns we wish to keep\n",
    "columns_to_keep = ['designation', 'ra', 'ra_error', 'dec', 'dec_error', \n",
    "                   'mode_best_classification', 'parallax', 'parallax_error', \n",
    "                   'pf', 'pf_error', \n",
    "                   'u', 'B_x', 'V', 'g', 'R_x', 'r_xa', 'i', 'z', '<Jmag>', \n",
    "                   '<Hmag>', '<Kmag>', \n",
    "                   '[Fe/H]', 'e_[Fe/H]']\n",
    "data = data_all[columns_to_keep].copy()\n",
    "\n",
    "# Rename this columns into my own formatting\n",
    "data = data.rename(columns = {'designation':'ID_Gaia', 'mode_best_classification':'var_type', \n",
    "             'parallax':'omega_exp', 'parallax_error':'omega_sigma',\n",
    "             'pf':'P_exp', 'pf_error':'P_sigma', \n",
    "             'u':'m_exp_U', 'B_x':'m_exp_B', 'V':'m_exp_V', 'g':'m_exp_g', \n",
    "             'R_x':'m_exp_R', 'r_xa':'m_exp_rxa', 'i':'m_exp_I', 'z':'m_exp_Z',\n",
    "             '<Jmag>':'m_exp_J', '<Hmag>':'m_exp_H', '<Kmag>':'m_exp_K', \n",
    "             '[Fe/H]':'FeH_exp', 'e_[Fe/H]':'FeH_sigma'})\n",
    "\n",
    "# A user-kept list of all band names and wavelengths [microm] in the model\n",
    "all_band_names = np.array(['U', 'B', 'V', 'g', \n",
    "                           'R', 'rxa', 'I', 'Z', \n",
    "                           'J', 'H', 'K'])\n",
    "\n",
    "all_band_wavelengths = np.array([.365, .445, .551, .464, \n",
    "                                 .658, .658, .806, .900, \n",
    "                                 1.22, 1.63, 2.19])\n",
    "\n",
    "# Drop everything that isn't FUNdamental mode\n",
    "data = data[data.var_type == 'FUNDAMENTAL']\n",
    "\n",
    "# Drop cepheids without periods in the range 2.0 > log10(P) > 0.4\n",
    "log_P = np.log10(np.asarray(data['P_exp']))\n",
    "data = data[np.logical_and(log_P < 2.0, log_P > 0.4)]\n",
    "data['log_P_exp'] = np.log10(data['P_exp']) - 1.0\n",
    "\n",
    "# Count how many measurements are in each band so the user can decide where\n",
    "# to go from here - which bands to use, and if any cepheids have too little\n",
    "# band information to be usable.\n",
    "band_count = {}\n",
    "for a_band in all_band_names:\n",
    "    band_count[a_band] = np.count_nonzero(np.isfinite(\n",
    "                                                    data['m_exp_'+ a_band]))\n",
    "    print(\"Band {} contains {} measurements\".format(a_band, \n",
    "                                                    band_count[a_band]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Removing bands with fewer than 228 measurements.\n",
      "\n",
      "There are now 230 Cepheids in the final model.\n",
      "\n",
      "The remaining 3 bands in the model are: \n",
      "['J', 'H', 'K']\n",
      "\n",
      "With wavelengths: \n",
      "[1.22, 1.63, 2.19]\n"
     ]
    }
   ],
   "source": [
    "# Remove measurement bands that have less than 3/4 of cephs\n",
    "N_stars = data.shape[0]\n",
    "band_names = []\n",
    "band_wavelengths = []\n",
    "band_frac = 0.99\n",
    "print(\"Removing bands with fewer than {:.0f} measurements.\".format(band_frac\n",
    "                                                                   *N_stars))\n",
    "for a_band, a_lambda in zip(all_band_names, all_band_wavelengths):\n",
    "    if band_count[a_band] > band_frac*N_stars:\n",
    "        band_names.append(a_band)\n",
    "        band_wavelengths.append(a_lambda)\n",
    "        \n",
    "# Remove Cepheids without measurements in all remaining bands\n",
    "for a_band in band_names:\n",
    "    data = data[np.isfinite(data['m_exp_' + a_band])]\n",
    "    \n",
    "# Report on progress\n",
    "N_stars = data.shape[0]\n",
    "N_bands = len(band_names)\n",
    "print('\\nThere are now {} Cepheids in the final model.'.format(N_stars))\n",
    "print('\\nThe remaining {} bands in the model are: \\n{}'.format(N_bands, \n",
    "                                                             band_names))\n",
    "print('\\nWith wavelengths: \\n{}'.format(band_wavelengths))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll want to add in some estimates of magnitude and FeH uncertainty into the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Time for a really shitty estimate on apparent magnitude errors because they\n",
    "# aren't in the data!!\n",
    "# N.B.: the scatter is a lot bigger so it's not a huuuuge problem.\n",
    "for a_band in band_names:\n",
    "    data['m_sigma_' + a_band] = 0.01\n",
    "    \n",
    "# Reset the index as we've removed quite a few stars\n",
    "data.reset_index(drop=True, inplace=True)\n",
    "\n",
    "# Set any nan metallicity error guesses to 0.1\n",
    "data['FeH_sigma'] = np.where(np.isfinite(data['FeH_sigma']), \n",
    "                             data['FeH_sigma'], 0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lastly, add our own star ID column to make internal stuff a bit easier, so we're only dealing with an integer number opposed to crazy amounts of mad Gaia ID stuff."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data['ID'] = pd.Series(np.arange(data.shape[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define PLR and extinction relation convenience functions\n",
    "We define a PLR relation class with a number of useful methods. Each instance stores its own PLR parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def PLR_magnitude(a, b, c, P, FeH):\n",
    "    \"\"\"Returns the result of the metallacity-independent Leavitt Law given a \n",
    "    period.\n",
    "    \"\"\"\n",
    "    return a * (np.log10(P) - 1) + b * FeH + c\n",
    "\n",
    "\n",
    "def calculate_extinction_coefficients(wavelength):\n",
    "    \"\"\"Calculates coefficients of the extinction law from Cardelli et al. 1989.\n",
    "    Fully supports vector input because BATDOG is a fucking badass\n",
    "    \"\"\"\n",
    "    # Typecast as a 1D numpy array if we need to\n",
    "    if type(wavelength) != np.ndarray:\n",
    "        wavelength = np.asarray([wavelength], dtype=np.float).flatten()\n",
    "    \n",
    "    # Calculate some mad shit!\n",
    "    a_i = np.empty(wavelength.size)\n",
    "    b_i = np.empty(wavelength.size)\n",
    "    for x, i in zip(1 / wavelength, range(wavelength.size)):\n",
    "        \n",
    "        # IR:\n",
    "        if 0.3 <= x and x <= 1.1:\n",
    "            a_i[i] = 0.574 * x**1.61\n",
    "            b_i[i] = -0.527 * x**1.61\n",
    "                    \n",
    "        # Optical/NIR:\n",
    "        elif 1.1 <= x and x <= 3.3:\n",
    "            y = x - 1.82\n",
    "            a_i[i] = (1 + 0.17699*y - 0.50447*y**2 - 0.02427*y**3 \n",
    "                + 0.72085*y**4 + 0.01979*y**5 - 0.77530*y**6 + 0.32999*y**7)\n",
    "            b_i[i] = (1.41338*y + 2.28305*y**2 + 1.07233*y**3 - 5.38434*y**4\n",
    "                - 0.62251*y**5 + 5.30260*y**6 - 2.09002*y**7)\n",
    "                    \n",
    "        # Oh fuck it's ERROR TIME\n",
    "        else:\n",
    "            raise ValueError('Input wavelength of {} not supported.'\n",
    "                             .format(1/x))\n",
    "    \n",
    "    return [a_i, b_i]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup of the priors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Define a ParallaxPrior class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class ParallaxPrior:\n",
    "    \"\"\"The following class should be created for each type of prior. It stores \n",
    "    information about the stars' prior on parallax, which is dependent on its\n",
    "    right ascension and declination in 3D space.\n",
    "    \n",
    "    The class was coded with a philosophy of having lots of values kept in\n",
    "    class-wide dictionaries. This means that they can easily be accessed and\n",
    "    checked.\n",
    "    \n",
    "    N.B. All inbound angles must be in radians. \n",
    "    \"\"\"\n",
    "    \n",
    "    def __init__(self, ra=0, dec=0, r=0, r_sigma=0, prior_type='finite_cloud'):\n",
    "        \"\"\"Initialisation of the class. Makes some local copies of things\n",
    "        we'll be needing for the duration of our stay.\n",
    "        \"\"\"         \n",
    "        # A boolean to record whether the user changed boundary behaviour\n",
    "        self.set_boundaries_to_zero = True\n",
    "        \n",
    "        # Set the type of prior            \n",
    "        if prior_type == 'finite_cloud':\n",
    "            self.prior_mode = prior_type\n",
    "            \n",
    "            # Keep a local copy of the locations of stars to consider for priors,\n",
    "            # converted into cartesians to make later maths easier\n",
    "            self.distribution = np.zeros((ra.size, 3))\n",
    "            self.distribution_r = np.asarray(r.copy())\n",
    "            self.distribution_sigma = np.asarray(r_sigma.copy())\n",
    "\n",
    "            # Calc x, y, z\n",
    "            self.distribution[:, 0] = np.cos(dec) * np.cos(ra)\n",
    "            self.distribution[:, 1] = np.cos(dec) * np.sin(ra)\n",
    "            self.distribution[:, 2] = np.sin(dec)\n",
    "\n",
    "            # Initialise class-wide copies of histogram information\n",
    "            self.bin_widths = {}\n",
    "            self.bin_numbers = {}\n",
    "            self.bin_centres = {}\n",
    "            self.prior_histograms = {}\n",
    "            self.filtered_histograms = {}\n",
    "            self.fits = {}\n",
    "            self.fast_access_fits = np.zeros(1)\n",
    "            \n",
    "            # Set evaluate_multiple_priors to the right thing:\n",
    "            self.evaluate_multiple_priors = \\\n",
    "                self.evaluate_multiple_priors_finite_cloud\n",
    "            \n",
    "        elif prior_type == 'decreasing_space_density':\n",
    "            self.prior_mode = prior_type\n",
    "                \n",
    "        else:\n",
    "            raise TypeError('specified prior_type not supported.')\n",
    "            \n",
    "    def make_histograms(self, ID, ra, dec, beam_width, \n",
    "                        user_set_boundaries_to_zero=True, boundary_points=5):\n",
    "        \"\"\"Uses a Gaussian beam to sample histograms from stellar_distribution \n",
    "        and saves the results of these histograms.\n",
    "        \"\"\"\n",
    "        # Quit if this function isn't actually needed. We raise an error, \n",
    "        # because it shouldn't be getting called.\n",
    "        if self.prior_mode != 'finite_cloud':\n",
    "            raise TypeError('only the finite_cloud prior_type is currently supported by plot_priors.')\n",
    "        \n",
    "        # Record the users' boundary preferences in the class-wide boolean\n",
    "        self.set_boundaries_to_zero = user_set_boundaries_to_zero\n",
    "        \n",
    "        # Firstly, we create an array of beam unit vectors in Cartesians.\n",
    "        # Later vector maths is much easier in arbitraty Cartesians centred on\n",
    "        # Gaia, so we make the change now so my head hurts less later :)\n",
    "        test_stars = np.zeros((ID.size, 3))\n",
    "        test_stars[:, 0] = np.cos(dec) * np.cos(ra)\n",
    "        test_stars[:, 1] = np.cos(dec) * np.sin(ra)\n",
    "        test_stars[:, 2] = np.sin(dec)\n",
    "        \n",
    "        # Calculate angles between test stars and the distribution with a fancy\n",
    "        # formula from: https://stackoverflow.com/questions/2827393/angles-between-two-n-dimensional-vectors-in-python/13849249#13849249\n",
    "        # This is done with a fast matrix method too because BATDOG is too cool\n",
    "        # for for loops\n",
    "        angles_between = np.arccos(np.clip(test_stars @ self.distribution.T, \n",
    "                                           -1.0, 1.0))\n",
    "        \n",
    "        # Calculate the distance from and along the beam of each star, and use \n",
    "        # this to compute a weight value for the star from a Gaussian of \n",
    "        # standard deviation beam_width\n",
    "        distances_from_beam = self.distribution_r * np.sin(angles_between)\n",
    "        distances_along_beam = self.distribution_r * np.cos(angles_between)\n",
    "        star_weights = norm(0, beam_width).pdf(distances_from_beam)\n",
    "        \n",
    "        # Loop over all the test stars and make some absolutely-sick-stograms.\n",
    "        # Unfortunately, this has to be done with a for loop, since astropy's \n",
    "        # Knuth rule and numpy's histogram methods both only take 1D data. \n",
    "        # Also, it's quite naughty to use Knuth's rule on a weighted histogram. \n",
    "        # However, I couldn't find a bin rule for weighted histograms, and it \n",
    "        # comes up with the best guesses anyway regardless of the weighting.\n",
    "        i = 0\n",
    "        for test_star, an_ID in zip(distances_along_beam, ID):\n",
    "            # Calculate optimal bin widths using Knuth's rule\n",
    "            self.bin_widths[an_ID] = knuth_bin_width(test_star)\n",
    "\n",
    "            # Convert said bin width into a number of bins\n",
    "            self.bin_numbers[an_ID] = int(((test_star.max() - test_star.min()) \n",
    "                                       / self.bin_widths[an_ID]))\n",
    "\n",
    "            # Calculate the resulting prior histogram for this \n",
    "            self.prior_histograms[an_ID], bin_edges = np.histogram(\n",
    "                                                test_star, \n",
    "                                                bins=self.bin_numbers[an_ID], \n",
    "                                                weights=star_weights[i])\n",
    "            \n",
    "            # Set the boundaries of the histogram to zero. This is... \n",
    "            # *technically* extrapolation, but... it's also, like, necessary.\n",
    "            # We do this for boundary_points points opposed to just one,\n",
    "            # because a well-defined and long boundary behaves better with the\n",
    "            # filtering methods.\n",
    "            if self.set_boundaries_to_zero:\n",
    "                # Boundary_array forces the inserted/appended values to be an\n",
    "                # array of length boundary_points, giving us our desired number\n",
    "                # of zero points.\n",
    "                boundary_array = np.arange(1, boundary_points + 1)\n",
    "                bin_edges = np.append(\n",
    "                    np.insert(bin_edges, 0, \n",
    "                        bin_edges[0] - boundary_array*self.bin_widths[an_ID]),\n",
    "                    bin_edges[-1] + boundary_array * self.bin_widths[an_ID])\n",
    "                \n",
    "                self.prior_histograms[an_ID] = np.append(\n",
    "                    np.insert(\n",
    "                        self.prior_histograms[an_ID], 0, 0.0 * boundary_array), \n",
    "                    0.0 * boundary_array)\n",
    "                self.bin_numbers[an_ID] += boundary_points * 2\n",
    "            \n",
    "            # Convert bin edges (meh) into bin centres (yassss!) by finding the\n",
    "            # mean value between each point with a clever array thing that I'm\n",
    "            # actually proud of thinking of yay\n",
    "            self.bin_centres[an_ID] = (bin_edges[1:] + bin_edges[:-1]) / 2\n",
    "            i += 1\n",
    "        \n",
    "    def fit_priors(self, ID, filter_window_size=5, filter_polynomial_order=3,\n",
    "                  fit_type='slinear'):\n",
    "        \"\"\"Fits cubic splines to a filtered version of the histogram data.\n",
    "        We filter using a Savitzky-Golay filter, which helps to smooth out \n",
    "        input data. Then, interpolation is performed by \n",
    "        \"\"\"\n",
    "        # Quit if this function isn't actually needed. We raise an error, \n",
    "        # because it shouldn't be getting called.\n",
    "        if self.prior_mode != 'finite_cloud':\n",
    "            raise TypeError('only the finite_cloud prior_type is currently supported by plot_priors.')\n",
    "            \n",
    "        # Apply filters and interpolate a fit\n",
    "        for an_ID in ID:\n",
    "            # Calculation of derivatives (the deriv kwarg) at points causes mad \n",
    "            # fuckery (it makes things WORSE) so don't do it\n",
    "            self.filtered_histograms[an_ID] = savgol_filter(\n",
    "                                                self.prior_histograms[an_ID], \n",
    "                                                filter_window_size, \n",
    "                                                filter_polynomial_order, \n",
    "                                                deriv=0)\n",
    "            \n",
    "            # Check that none of the filter results are negative (the Savgol\n",
    "            # filter knows not of probability being +ve only.) We also make \n",
    "            # sure the boundaries are still zero.\n",
    "            self.filtered_histograms[an_ID][0] = 0.0\n",
    "            self.filtered_histograms[an_ID][-1] = 0.0\n",
    "            self.filtered_histograms[an_ID] = np.where(\n",
    "                                self.filtered_histograms[an_ID] < 0, \n",
    "                                0.0, self.filtered_histograms[an_ID])\n",
    "            \n",
    "            # Use scipy's cubic interpolation to create a cubic fit function\n",
    "            # for every star. Note that this fit is done in parallax space\n",
    "            # (hence the one over), NOT r-space! This makes calls to these\n",
    "            # functions faster as there aren't any conversions.\n",
    "            self.fits[an_ID] = interpolate(1 / self.bin_centres[an_ID] * 1e3, \n",
    "                                           self.filtered_histograms[an_ID], \n",
    "                                           kind=fit_type,\n",
    "                                           bounds_error=False,\n",
    "                                           fill_value=0.0)\n",
    "            \n",
    "    def plot_priors(self, ID, r_min=30000, r_max=70000, \n",
    "                    true_distribution=False, ra=0, dec=0, test_points=100):\n",
    "        \"\"\"Plots the histograms for a set of *ID* histograms. Can also be\n",
    "        plotted against a true distribution by specifying the location of\n",
    "        the function with true_distribution.\n",
    "        \"\"\"\n",
    "        # Quit if this function isn't actually needed. We raise an error, \n",
    "        # because it shouldn't be getting called.\n",
    "        if self.prior_mode != 'finite_cloud':\n",
    "            raise TypeError('only the finite_cloud prior_type is currently supported by plot_priors.')\n",
    "        \n",
    "        # Range of r values to plot over\n",
    "        r_range = np.linspace(r_min, r_max, num=test_points)\n",
    "        \n",
    "        # Loop over all the stars\n",
    "        for an_ID, array_index in zip(ID, range(ID.size)):\n",
    "            plt.figure(figsize=(8, 6))           \n",
    "            # The prior histogram values\n",
    "            plt.plot(self.bin_centres[an_ID], self.prior_histograms[an_ID], \n",
    "                     'k--', lw=1, label='Prior')\n",
    "            \n",
    "            # The filtered prior\n",
    "            plt.plot(self.bin_centres[an_ID], self.filtered_histograms[an_ID], \n",
    "                     'g--', lw=1, label='Filtered prior')\n",
    "            \n",
    "            # The spline fit to the filtered data\n",
    "            # Get values of the spline. This is done in a for loop call so that\n",
    "            # any errors arising from invalid input parallaxes can be caught.\n",
    "            fit_results = np.zeros(test_points)\n",
    "            for a_point in range(test_points):\n",
    "                fit_results[a_point] = self.evaluate_a_single_prior(\n",
    "                                            an_ID, 1 / r_range[a_point] * 1e3)\n",
    "                \n",
    "            plt.plot(r_range, fit_results, 'b-', lw=1, ms=0, \n",
    "                     label='Spline fit to filtered data')\n",
    "            \n",
    "            # Plot the real distribution if requested\n",
    "            if true_distribution != False:\n",
    "                # Work out Cartesian unit vectors for each star\n",
    "                u_x = np.cos(dec[array_index]) * np.cos(ra[array_index])\n",
    "                u_y = np.cos(dec[array_index]) * np.sin(ra[array_index])\n",
    "                u_z = np.sin(dec[array_index])\n",
    "                \n",
    "                # Work out appropriate x, y, z ranges for the star\n",
    "                x_range = np.linspace(r_min*u_x, r_max*u_x, num=test_points)\n",
    "                y_range = np.linspace(r_min*u_y, r_max*u_y, num=test_points)\n",
    "                z_range = np.linspace(r_min*u_z, r_max*u_z, num=test_points)\n",
    "                \n",
    "                # Plot the true distribution on the figure\n",
    "                dist_to_plot = true_distribution(x_range, y_range, z_range)\n",
    "                normalisation_factor = (self.prior_histograms[an_ID].max() \n",
    "                                        / dist_to_plot.max())\n",
    "                plt.plot(r_range, dist_to_plot * normalisation_factor, \n",
    "                         'r-', lw=1, label='True distribution')\n",
    "            \n",
    "            # Final bits of plot formatting\n",
    "            plt.legend()\n",
    "            # plt.ylim(0, kDist.max()*1.1)\n",
    "            plt.xlim(r_min,r_max)\n",
    "            plt.ylabel('Probability')\n",
    "            plt.xlabel('Distance (pc)')\n",
    "            \n",
    "            plt.title('Parallax prior (in distance space) for star {}'\n",
    "                      .format(an_ID))\n",
    "            plt.show()\n",
    "        \n",
    "        # Show everything at once at the end\n",
    "        #plt.show()\n",
    "    \n",
    "    def evaluate_a_single_prior(self, an_ID, a_parallax, L=False):\n",
    "        \"\"\"Evaluates a single prior at a single location for star ID. This \n",
    "        method is inherently slower than evaluate_multiple_priors.\n",
    "        \"\"\"\n",
    "        if self.prior_mode == 'finite_cloud':\n",
    "            # Work out the fit and return zero if we accidentally hit a -ve val\n",
    "            result = self.fits[an_ID](a_parallax)\n",
    "            if result < 0.0:\n",
    "                result = 0.0\n",
    "            return result\n",
    "        \n",
    "        elif self.prior_mode == 'decreasing_space_density':\n",
    "            # Return the decreasing space density prior\n",
    "            return (1e6 / (2 * L**3 * a_parallax**2) \n",
    "                    * np.exp(- 1e3 / (a_parallax * L)))\n",
    "        \n",
    "        else:\n",
    "            raise TypeError('current prior_mode is not supported by evaluate_a_single_prior.')\n",
    "        \n",
    "        \n",
    "    def prep_for_fast_running(self, ID):\n",
    "        \"\"\"Must be called before evaluate_multiple_priors. Selects only desired \n",
    "        IDs and sets their fit functions up in a fast framework that can be \n",
    "        called during emcee running quickly and efficiently.\n",
    "        \"\"\"\n",
    "        # Quit if this function isn't actually needed. However, we keep it\n",
    "        # callable regardless of prior type as it's in a lot of places around\n",
    "        # the code.\n",
    "        if self.prior_mode != 'finite_cloud':\n",
    "            return 0\n",
    "        \n",
    "        # Cast ID as a single-element array if it's a float\n",
    "        ID = np.asarray(ID)\n",
    "        \n",
    "        # Create an empty numpy array that stores object pointers to each fit \n",
    "        # function\n",
    "        self.fast_access_fits = np.empty(ID.size, dtype=object)\n",
    "        \n",
    "        # Loop over the dictionary (has to be done with a for loop sadly) and\n",
    "        # pop required fit functions into fast_access_fits\n",
    "        for an_ID, i in zip(ID, range(ID.size)):\n",
    "            self.fast_access_fits[i] = self.fits[an_ID]\n",
    "            \n",
    "    def evaluate_multiple_priors_finite_cloud(self, test_omegas):\n",
    "        \"\"\"Fast evaluation of fit functions at all successful points. Must be\n",
    "        called with input parallaxes of the correct shape. \n",
    "        \n",
    "        NOTE 1: checking for negative probabilities implied by fits *is not \n",
    "        performed by this function*, and should instead be done on returned \n",
    "        data.\n",
    "        \n",
    "        NOTE 2: hence, logs must also be taken after data is returned.\n",
    "        \"\"\"\n",
    "        # Use numpy vectorize to make a callable fector that takes a function\n",
    "        # object and a function argument as inputs, and returns the result of \n",
    "        # the function call.\n",
    "        function_vector = np.vectorize(lambda f, x: f(x))\n",
    "        return function_vector(self.fast_access_fits, test_omegas)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Initialise the ParallaxPrior class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Pass it everything it needs from data_prior\n",
    "parallax_prior_repo = ParallaxPrior(prior_type=prior_type)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Setup of likelihood & priors\n",
    "------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* **Note 1: everything here returns the result of a log, as emcee works in lnprob space.**\n",
    "* **Note 2: conventionally, 'r' is used to specify the 'ranges' dictionary here as a convenient shorthand, since it appears absolutely everywhere.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A debug helper function\n",
    "This function is a convenience to make debug error reporting in the following functions easier."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def debug_output(answer, fname, extra=\"\", find_infs=True):\n",
    "    \"\"\"Checks an input array for non-finite values, and outputs the array,\n",
    "    the name of the function and additional information if there are any.\n",
    "    \"\"\"\n",
    "    # Check for infs and say where they are if so\n",
    "    if find_infs:\n",
    "        if np.all(np.isfinite(answer)) == False:\n",
    "            print(fname + \" encountered infs in these return array values:\")\n",
    "            print(np.where(np.isfinite(answer) == False)[0])\n",
    "\n",
    "            # Print any extra information from the caller\n",
    "            if len(extra) > 0:\n",
    "                print(\"  \" + extra)\n",
    "    \n",
    "    # For if the function already knows the bad values and we just need to\n",
    "    # handle the printing bit here in debug_output()\n",
    "    else:\n",
    "        print(fname + \" encountered infs in these return array values:\")\n",
    "        print(answer)\n",
    "\n",
    "        # Print any extra information from the caller\n",
    "        if len(extra) > 0:\n",
    "            print(\"  \" + extra)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Priors\n",
    "### Prior on extinction\n",
    "This is simply a uniform prior to constrain the extinction co-efficient to something reasonable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def prior_extinction(params, r, debug):\n",
    "    \"\"\"Currently, a uniform prior between a reasonable range for an \n",
    "    extinction co-efficient followed by a fit to a Cardelli et al. 1989 \n",
    "    extinction curve.\n",
    "    \"\"\"\n",
    "    # Constants\n",
    "    max_extinction = 10.0\n",
    "    min_extinction = 0.0\n",
    "    \n",
    "    # If any extinctions are outside the range, we stop and return -np.inf\n",
    "    test = np.logical_or(params[r['A']] < min_extinction, \n",
    "                         params[r['A']] > max_extinction)\n",
    "    if np.any(test):\n",
    "        if debug:\n",
    "            debug_output(np.where(test)[0], \"prior_extinction\", \n",
    "                         find_infs=False)\n",
    "        return -np.inf\n",
    "    \n",
    "    else:\n",
    "        return 0.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Prior on Rv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "if infer_for_Rv:\n",
    "    def prior_Rv(params, r, debug):\n",
    "        \"\"\"A uniform prior on sensible values.\"\"\"\n",
    "        # Constants\n",
    "        min_Rv = 0.5\n",
    "        max_Rv = 7.0\n",
    "\n",
    "        # Do a test that Rv is in this range\n",
    "        if params[r['Rv']] > min_Rv and params[r['Rv']] < max_Rv:\n",
    "            answer = 0.0\n",
    "        else:\n",
    "            answer = -np.inf\n",
    "\n",
    "        if debug:\n",
    "            debug_output(answer, \"prior_Rv\")\n",
    "\n",
    "        return answer\n",
    "else:\n",
    "    def prior_Rv(params, r, debug):\n",
    "        \"\"\"Placeholder.\"\"\"\n",
    "        return 0.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Prior on PLR parameters\n",
    "Basic uniform priors for a, b and a Jeffreys log-uniform prior on the scatter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "if use_metallicities:\n",
    "    def prior_PLR(params, r, debug):\n",
    "        \"\"\"Uniform prior in reasonable ranges for a, b, c, and a Jeffreys \n",
    "        log-uniform prior for scatter.\n",
    "        \"\"\"\n",
    "        # Constants\n",
    "        max_a = -2.9\n",
    "        min_a = -3.45\n",
    "        max_b = 15.0\n",
    "        min_b = -15.0\n",
    "        max_c = -5.0\n",
    "        min_c = -6.0\n",
    "        max_s = 0.20\n",
    "        min_s = 0.0\n",
    "\n",
    "        # Tests\n",
    "        a_prior = np.where(np.logical_or(params[r['a']] < min_a, \n",
    "                                        params[r['a']] > max_a), \n",
    "                          -np.inf, 0.0)\n",
    "        b_prior = np.where(np.logical_or(params[r['b']] < min_b, \n",
    "                                        params[r['b']] > max_b), \n",
    "                          -np.inf, 0.0)\n",
    "        c_prior = np.where(np.logical_or(params[r['c']] < min_c, \n",
    "                                        params[r['c']] > max_c), \n",
    "                          -np.inf, 0.0)\n",
    "\n",
    "        # Jeffreys first tests that scatter is +ve, then sets to -log of scattr\n",
    "        # We only take this at valid values, else return -np.inf.\n",
    "        valid_values = np.where(np.logical_and(\n",
    "            params[r['s']] > min_s, params[r['s']] < max_s), True, False)\n",
    "        s_prior = np.asarray(-np.log(params[r['s']], where=valid_values))\n",
    "        s_prior[valid_values == False] = -np.inf\n",
    "\n",
    "        if debug:\n",
    "            debug_output(a_prior, \"prior_PLR:a_prior\", \n",
    "                extra=\"prior_PLR calculates N_bands values for a\")\n",
    "\n",
    "            debug_output(b_prior, \"prior_PLR:b_prior\", \n",
    "                extra=\"prior_PLR calculates N_bands values for b\")\n",
    "\n",
    "            debug_output(c_prior, \"prior_PLR:c_prior\", \n",
    "                extra=\"prior_PLR calculates N_bands values for c\")\n",
    "\n",
    "            debug_output(s_prior, \"prior_PLR:s_prior\", \n",
    "                extra=\"prior_PLR calculates N_bands values for s\")\n",
    "\n",
    "        return a_prior + b_prior + c_prior + s_prior\n",
    "    \n",
    "else:\n",
    "    def prior_PLR(params, r, debug):\n",
    "        \"\"\"Uniform prior in reasonable ranges for a, c, and a Jeffreys \n",
    "        log-uniform prior for scatter.\n",
    "        \"\"\"\n",
    "        # Constants\n",
    "        max_a = -2.5\n",
    "        min_a = -3.8\n",
    "        max_c = -5.0\n",
    "        min_c = -6.0\n",
    "        max_s = 0.50\n",
    "        min_s = 0.0\n",
    "        \n",
    "        \"\"\"\n",
    "        # CHEEKY PARAMETER CONSTRAINT SECTION THIS BIT IS VERY CHEEKY YOU SHOULD REMOVE IT\n",
    "        a0 = params[r['a']][0]\n",
    "        a1 = params[r['a']][1]\n",
    "        a2 = params[r['a']][2]\n",
    "        if a0 > -3.01 or a0 < -3.29:\n",
    "            return -np.inf\n",
    "        elif a1 > -3.11 or a1 < -3.35:\n",
    "            return -np.inf\n",
    "        elif a2 > -3.17 or a2 < -3.37:\n",
    "            return -np.inf\n",
    "        \"\"\"\n",
    "\n",
    "        # Tests      \n",
    "        a_prior = np.where(np.logical_or(params[r['a']] < min_a, \n",
    "                                        params[r['a']] > max_a), \n",
    "                          -np.inf, 0.0)\n",
    "        c_prior = np.where(np.logical_or(params[r['c']] < min_c, \n",
    "                                        params[r['c']] > max_c), \n",
    "                          -np.inf, 0.0)\n",
    "\n",
    "        # Jeffreys first tests that scatter is +ve, then sets to -log of scattr\n",
    "        # We only take this at valid values, else return -np.inf.\n",
    "        valid_values = np.where(np.logical_and(\n",
    "            params[r['s']] > min_s, params[r['s']] < max_s), True, False)\n",
    "        s_prior = np.asarray(-np.log(params[r['s']], where=valid_values))\n",
    "        s_prior[valid_values == False] = -np.inf\n",
    "\n",
    "        if debug:\n",
    "            debug_output(a_prior, \"prior_PLR:a_prior\", \n",
    "                extra=\"prior_PLR calculates N_bands values for a\")\n",
    "\n",
    "            debug_output(c_prior, \"prior_PLR:c_prior\", \n",
    "                extra=\"prior_PLR calculates N_bands values for c\")\n",
    "\n",
    "            debug_output(s_prior, \"prior_PLR:s_prior\", \n",
    "                extra=\"prior_PLR calculates N_bands values for s\")\n",
    "\n",
    "        return a_prior + c_prior + s_prior"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Parallax priors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Prior on variable star parallax\n",
    "*Parallax is extremely dangerous. We must deal with it!* The following computes the parallax prior, which is effectively our distance prior but flipped around a bit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "if prior_type == 'finite_cloud':\n",
    "    def prior_parallax_variables(params, r, parallax_prior_repo, debug):\n",
    "        \"\"\"The distance prior but in terms of parallax. We check for any cheeky \n",
    "        parallaxes less than zero and set them to -np.inf; if not, set to \n",
    "        distance prior.\n",
    "        \"\"\"\n",
    "        # Apply distance prior to main stars\n",
    "        class_evaluation = parallax_prior_repo.evaluate_multiple_priors(\n",
    "                                                            params[r['omega']])\n",
    "        \n",
    "        # Only take logs where it's safe to do so\n",
    "        valid_values = np.where(class_evaluation > 0.0, True, False)\n",
    "        answer = np.asarray(np.log(class_evaluation, where=valid_values))\n",
    "        answer[valid_values == False] = -np.inf\n",
    "        \n",
    "        if debug:\n",
    "            debug_output(answer, \"prior_parallax_variables\")\n",
    "\n",
    "        return answer\n",
    "    \n",
    "elif prior_type == 'decreasing_space_density':\n",
    "    def prior_parallax_variables(params, r, parallax_prior_repo, debug):\n",
    "        \"\"\"The distance prior but in terms of parallax. We just have to call\n",
    "        the class when using this particular prior_type.\n",
    "        \"\"\"\n",
    "        # Fixes a bug with 1D input\n",
    "        test_omegas = params[r['omega']]\n",
    "        if type(test_omegas) != np.ndarray:\n",
    "            test_omegas = np.asarray([test_omegas])\n",
    "        \n",
    "        # Check which ones aren't gonna make logs unhappy by being -ve\n",
    "        valid_values = np.where(test_omegas > 0.0)[0]\n",
    "        invalid_values = np.where(test_omegas <= 0.0)[0]\n",
    "        answer = np.empty(test_omegas.size)\n",
    "        \n",
    "        # Apply the distance prior to main stars\n",
    "        answer[valid_values] = (\n",
    "            np.log(1e6/(2 * params[r['L']]**3 * test_omegas[valid_values]**2)) \n",
    "            - 1e3 / (test_omegas[valid_values] * params[r['L']]))\n",
    "        answer[invalid_values] = -np.inf\n",
    "        \n",
    "        if debug:\n",
    "            debug_output(answer, \"prior_parallax_variables\")\n",
    "\n",
    "        return answer\n",
    "\n",
    "else:\n",
    "    raise TypeError('current prior_type not supported by prior_parallax_variables.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Prior on binary star parallax\n",
    "Intentionally a separate function to the star parallaxes due to later use needs and the fact that the binary stars may not always be distributed in the same way as the variable stars."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "if N_binaries > 0:\n",
    "    def prior_parallax_binaries(params, r, debug):\n",
    "        \"\"\"The distance prior but in terms of parallax. We check for any cheeky \n",
    "        parallaxes less than zero and set them to -np.inf; if not, set to \n",
    "        distance prior.\n",
    "        \"\"\"       \n",
    "        binary_stars = params[r['omega_B']]\n",
    "        L = params[r['L']]\n",
    "        \n",
    "        # Only take logs where it's safe to do so\n",
    "        valid_values = np.where(binary_stars > 0.0)[0]\n",
    "        invalid_values = np.where(binary_stars <= 0.0)[0]\n",
    "        answer = np.empty(binary_stars.size)\n",
    "        answer[valid_values] = (\n",
    "            np.log(1/(2 * L**3 * binary_stars[valid_values]**2)) \n",
    "            - 1 / (binary_stars[valid_values] * L))\n",
    "        answer[invalid_values] = -np.inf\n",
    "\n",
    "        if debug:\n",
    "            debug_output(answer, \"prior_parallax_binaries\")\n",
    "\n",
    "        return answer\n",
    "else:\n",
    "    def prior_parallax_binaries(params, r, debug):\n",
    "        \"\"\"Placeholder function if no binary stars are in the model.\"\"\"\n",
    "        return 0.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Prior on parallax offset\n",
    "A uniform prior to constrain $\\omega_0$ to a reasonable value."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def prior_parallax_offset(params, r, debug):\n",
    "    \"\"\"A uniform prior in a defined reasonable range for omega_0.\"\"\"\n",
    "    # Constants (in mas)\n",
    "    max_omega_0 = 0.2\n",
    "    min_omega_0 = -0.2\n",
    "    \n",
    "    # Check if we're in the correct range\n",
    "    if (params[r['omega_0']] <= max_omega_0 \n",
    "        and params[r['omega_0']] >= min_omega_0):\n",
    "        answer = 0.0\n",
    "    else:\n",
    "        answer = -np.inf      \n",
    "        \n",
    "    if debug:\n",
    "        debug_output(answer, \"prior_parallax_offset\")\n",
    "    \n",
    "    return answer"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Prior on scale length\n",
    "A uniform prior within sensible values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "if prior_type == 'finite_cloud':\n",
    "    def prior_scale(params, r, debug):\n",
    "        \"\"\"This function helps us find the mean cluster distance.\n",
    "        \n",
    "        We pull the probability of the current scale length parameter from a \n",
    "        normal distribution of the mean of all parallax parameters, with \n",
    "        standard deviation of all the parameters.\n",
    "        \"\"\"\n",
    "        # Arbitrary standard deviation to use in guess phase when this function is\n",
    "        # called with only one parallax at a time.\n",
    "        arbitrary_std_d = 10000\n",
    "\n",
    "        # Calculate a mean and standard deviation (in parsecs)\n",
    "        mean = 1e3/np.mean(params[r['omega']])\n",
    "        std_d = np.std(params[r['omega']])\n",
    "\n",
    "        # 1 parameter has a std_d of 0, at which point we have to set the std_d to \n",
    "        # the arbitrary one.\n",
    "        if std_d == 0:\n",
    "            std_d = arbitrary_std_d\n",
    "        else:\n",
    "            std_d = 1e3 / std_d\n",
    "\n",
    "        # Pull the scale from a normal\n",
    "        answer = np.log(norm(mean, std_d).pdf(params[r['L']]))\n",
    "\n",
    "        if debug:\n",
    "            debug_output(answer, \"prior_scale\")\n",
    "\n",
    "        return answer\n",
    "    \n",
    "elif prior_type == 'decreasing_space_density':\n",
    "    def prior_scale(params, r, debug):\n",
    "        \"\"\"A uniform prior defined in a reasonable range for L.\"\"\"\n",
    "        # Constants\n",
    "        max_scale = 10000\n",
    "        min_scale = 10\n",
    "\n",
    "        # Check if we're in the correct range\n",
    "        if (params[r['L']] <= max_scale \n",
    "            and params[r['L']] >= min_scale):\n",
    "            answer = 0.0\n",
    "        else:\n",
    "            answer = -np.inf\n",
    "\n",
    "        if debug:\n",
    "            debug_output(answer, \"prior_scale\")\n",
    "\n",
    "        return answer\n",
    "\n",
    "else:\n",
    "    raise TypeError('current prior_type not supported by prior_scale.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Logarithmic priors combination"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def prior_total(params, r, parallax_prior_repo, debug):\n",
    "    \"\"\"Sums all of the priors. Convenience function!\"\"\"\n",
    "    return (np.sum(prior_extinction(params, r, debug))\n",
    "            + np.sum(prior_Rv(params, r, debug))\n",
    "            + np.sum(prior_PLR(params, r, debug))\n",
    "            + np.sum(prior_parallax_variables(params, r, parallax_prior_repo, \n",
    "                                              debug))\n",
    "            + np.sum(prior_parallax_binaries(params, r, debug))\n",
    "            # + np.sum(prior_metallicities(params, r, debug))\n",
    "            + prior_parallax_offset(params, r, debug)\n",
    "            + np.sum(prior_scale(params, r, debug)))\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Likelihood function\n",
    "Parts of the likelihood fn are defined here."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Parallax likelihoods"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### For variable stars"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def likelihood_parallax_variables(params, r, data, debug):\n",
    "    \"\"\"Returns a normal distribution evaluated at the measured Gaia parallax \n",
    "    value, with:\n",
    "    \n",
    "    mean = the inferred parallax value plus the Gaia zero-point offset\n",
    "    standard deviation = the error on the Gaia parallax value\n",
    "    \"\"\"\n",
    "    # Pull parallax likelihood from our normal distribution\n",
    "    likelihood = norm(params[r['omega']] + params[r['omega_0']], \n",
    "                      data['omega_sigma']).pdf(data['omega_exp'])\n",
    "    \n",
    "    # Only take logs where it's safe to do so\n",
    "    valid_values = np.where(likelihood > 0.0, True, False)\n",
    "    answer = np.asarray(np.log(likelihood, where=valid_values))\n",
    "    answer[valid_values == False] = -np.inf\n",
    "    \n",
    "    if debug:\n",
    "        debug_output(answer, \"likelihood_parallax_variables\")\n",
    "    \n",
    "    return answer"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### For binary stars - Gaia measurements"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "if N_binaries > 0:\n",
    "    def likelihood_parallax_binaries_gaia(params, r, data, debug):\n",
    "        \"\"\"Returns a normal distribution evaluated at the measured Gaia parallax \n",
    "        value, with:\n",
    "\n",
    "        mean = the inferred parallax value plus the Gaia zero-point offset\n",
    "        standard deviation = the error on the Gaia parallax value\n",
    "        \"\"\"\n",
    "        # Pull parallax likelihood from our normal distribution\n",
    "        likelihood = norm(params[r['omega_B']] + params[r['omega_0']], \n",
    "                          data['gaia_sigma']).pdf(data['gaia_exp'])\n",
    "        \n",
    "        # Only take logs where it's safe to do so\n",
    "        valid_values = np.where(likelihood > 0.0, True, False)\n",
    "        answer = np.asarray(np.log(likelihood, where=valid_values))\n",
    "        answer[valid_values == False] = -np.inf\n",
    "        \n",
    "        if debug:\n",
    "            debug_output(answer, \"likelihood_parallax_binaries_gaia\")\n",
    "\n",
    "        return answer\n",
    "else:\n",
    "    def likelihood_parallax_binaries_gaia(params, r, data, debug):\n",
    "        \"\"\"Placeholder function if no binary stars are in the model.\"\"\"\n",
    "        return 0.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### For binary stars - external measurements"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "if N_binaries > 0:\n",
    "    def likelihood_parallax_binaries_ext(params, r, data, debug):\n",
    "        \"\"\"Returns a normal distribution evaluated at the measured external \n",
    "        parallax value, with:\n",
    "\n",
    "        mean = the inferred parallax value\n",
    "        standard deviation = the error on the parallax value\n",
    "        \"\"\"\n",
    "        # Pull parallax likelihood from our normal distribution\n",
    "        likelihood = norm(params[r['omega_B']], \n",
    "                          data['ext_sigma']).pdf(data['ext_exp'])\n",
    "        \n",
    "        # Only take logs where it's safe to do so\n",
    "        valid_values = np.where(likelihood > 0.0, True, False)\n",
    "        answer = np.asarray(np.log(likelihood, where=valid_values))\n",
    "        answer[valid_values == False] = -np.inf\n",
    "\n",
    "        if debug:\n",
    "            debug_output(answer, \"likelihood_parallax_binaries_ext\")\n",
    "\n",
    "        return answer\n",
    "else:\n",
    "    def likelihood_parallax_binaries_ext(params, r, data, debug):\n",
    "        \"\"\"Placeholder function if no binary stars are in the model.\"\"\"\n",
    "        return 0.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Likelihood of apparent magnitude data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Functions to handle different program settings\n",
    "if use_metallicities:\n",
    "    def get_me_metallicities(params, r, data, mean=True):\n",
    "        \"\"\"Finds and returns metallicitiy data for the PLR. Returns the mean\n",
    "        value for mean = True, or sigma for mean = False.\"\"\"\n",
    "        if mean:\n",
    "            return (params[r['b']].reshape(data['N_bands'], 1) \n",
    "                    * data['FeH_exp'])\n",
    "        else:\n",
    "            return (params[r['b']].reshape(data['N_bands'], 1) \n",
    "                    * data['FeH_sigma'])\n",
    "else:\n",
    "    def get_me_metallicities(params, r, data, mean=True):\n",
    "        \"\"\"Placeholder for no metallicities in model.\"\"\"\n",
    "        return 0.0\n",
    "    \n",
    "if infer_for_Rv:\n",
    "    def get_me_Rv(params, r, data):\n",
    "        \"\"\"Returns the model parameter Rv.\"\"\"\n",
    "        return params[r['Rv']]\n",
    "else:\n",
    "    def get_me_Rv(params, r, data):\n",
    "        \"\"\"Returns Rv from the data dictionary.\"\"\"        \n",
    "        return data['Rv']\n",
    "\n",
    "# The actual thing\n",
    "def likelihood_app_mag(params, r, data, debug):\n",
    "    \"\"\"Evaluates the Leavitt law to evaluate the likelihood of the inferred\n",
    "    apparent magnitude data.\n",
    "\n",
    "    Typically, this function is a common cause of issues, and also has a lot of \n",
    "    evaluations to perform. It is optimised by using element-wise numpy array\n",
    "    evaluations of a number of parameters.\n",
    "    \"\"\"      \n",
    "    # Mean is at the Leavitt law implied apparent magnitudea\n",
    "    # N.B. parameters are reshaped into numpy arrays, where the horizontal axis \n",
    "    # (0) is the star number, and the vertical axis (1) is the band\n",
    "    N_bands = data['N_bands']\n",
    "    N_stars = data['N_stars']\n",
    "\n",
    "    mean = (params[r['a']].reshape(N_bands, 1) * data['logP_exp']\n",
    "          + get_me_metallicities(params, r, data, mean=True)\n",
    "          + params[r['c']].reshape(N_bands, 1)\n",
    "          + params[r['A']] * (data['precalculated_a_i'] \n",
    "                              + data['precalculated_b_i'] \n",
    "                              / get_me_Rv(params, r, data))\n",
    "          - 5 * np.log10(params[r['omega']])\n",
    "          + 10)\n",
    "\n",
    "    # Standard deviation is at the scatter plus the error on magnitude\n",
    "    # measurements, period, and metallicity - added in quadrature.\n",
    "    standard_deviation = np.sqrt(\n",
    "          (params[r['a']].reshape(N_bands, 1) * data['logP_sigma'])**2 \n",
    "        + (get_me_metallicities(params, r, data, mean=False))**2\n",
    "        +  params[r['s']].reshape(N_bands, 1)**2 \n",
    "        +  data['m_sigma']**2)\n",
    "\n",
    "    # We evaluate a normal distribution of the above values at the measured\n",
    "    # apparent magnitude value\n",
    "    likelihood = norm(mean, standard_deviation).pdf(data['m_exp'])\n",
    "\n",
    "    # We only take logs when the distribution isn't gonna make it be infinity.\n",
    "    # This catches a... very... common warning message (thank me later =D)\n",
    "    valid_values = np.where(likelihood > 0.0, True, False)\n",
    "    answer = np.asarray(np.log(likelihood, where=valid_values))\n",
    "    answer[valid_values == False] = -np.inf\n",
    "\n",
    "    if debug:\n",
    "        debug_output(answer, \"likelihood_app_mag\")\n",
    "\n",
    "    return answer"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Logarithmic likelihoods combination"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def likelihood_total(params, ranges, data, debug):\n",
    "    \"\"\"Sums all of the likelihood functions. Convenience function!\"\"\"\n",
    "    return (np.sum(likelihood_parallax_variables(params, ranges, \n",
    "                                                   data, debug))\n",
    "            + np.sum(likelihood_parallax_binaries_gaia(params, ranges, \n",
    "                                                       data, debug))\n",
    "            + np.sum(likelihood_parallax_binaries_ext(params, ranges, \n",
    "                                                      data, debug))\n",
    "            # + np.sum(likelihood_metallicities(params, ranges, data, debug))\n",
    "            # + np.sum(likelihood_period(params, ranges, data, debug))\n",
    "            + np.sum(likelihood_app_mag(params, ranges, data, debug)))\n",
    "            # + np.sum(likelihood_nuisance(params, ranges, debug)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Posterior\n",
    "The last prep step! This function defines our log posterior."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def posterior(params, ranges, data, parallax_prior_repo, debug=False):\n",
    "    \"\"\"Sums all of the logarithmic likelihoods and priors.\"\"\"\n",
    "    return (likelihood_total(params, ranges, data, debug) \n",
    "            + prior_total(params, ranges, parallax_prior_repo, debug))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Creation of a starting guess\n",
    "------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For any decent number of stars, the model has a huge number of dimensions. To improve the convergence time of the model, we can use function minimisation methods for each individual star and some intuition with hyperparameters to have a guess that's at a good initial probability."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define a function that sets up a *ranges* dictionary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def create_new_ranges_dict(N_stars, N_binaries, N_bands):\n",
    "    \"\"\"Because emcee needs to take a 1D position vector as its parameters \n",
    "    argument, it's necessary to keep a dictionary that \n",
    "    tells us what each parameter is.\n",
    "    \n",
    "    This function is lovely and helpful and makes it for you. How kind!\n",
    "    \"\"\"\n",
    "    ranges = {}\n",
    "    \n",
    "    # First stuff\n",
    "    ranges['omega_0'] = 0\n",
    "    ranges['L'] = 1\n",
    "    \n",
    "    # Only add Rv if we're using it\n",
    "    if infer_for_Rv:\n",
    "        ranges['Rv'] = 2\n",
    "        ranges['a'] = ranges['Rv'] + 1 + np.arange(N_bands)\n",
    "    else:\n",
    "        ranges['Rv'] = []\n",
    "        ranges['a'] = ranges['L'] + 1 + np.arange(N_bands)\n",
    "    \n",
    "    # Only add metallicity constants if we're using them\n",
    "    if use_metallicities:\n",
    "        ranges['b'] = ranges['a'][-1] + 1 + np.arange(N_bands)\n",
    "        ranges['c'] = ranges['b'][-1] + 1 + np.arange(N_bands)\n",
    "    else:\n",
    "        ranges['b'] = []\n",
    "        ranges['c'] = ranges['a'][-1] + 1 + np.arange(N_bands)\n",
    "    \n",
    "    # Scatter\n",
    "    ranges['s'] = ranges['c'][-1] + 1 + np.arange(N_bands)\n",
    "    \n",
    "    # Only have a defined binary stars section if we have any in the model. If\n",
    "    # not, then we just keep a blank array around for compatibility.\n",
    "    if N_binaries > 0:\n",
    "        ranges['omega_B'] = ranges['s'][-1] + 1 + np.arange(N_binaries)\n",
    "        ranges['omega'] = ranges['omega_B'][-1] + 1 + np.arange(N_stars)\n",
    "    else:\n",
    "        ranges['omega_B'] = []\n",
    "        ranges['omega'] = ranges['s'][-1] + 1 + np.arange(N_stars)\n",
    "    \n",
    "    # Extinction\n",
    "    ranges['A'] = ranges['omega'][-1] + 1 + np.arange(N_stars)\n",
    "    \n",
    "    return ranges"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Make a dictionary of data\n",
    "Infuriatingly, pandas doesn't really have support for 2D or more numpy arrays, and in conjunction with emcee's total lack of support for anything other than numpy arrays, it's necessary to put all the info in data into a dictionary of arrays.\n",
    "\n",
    "However, this little wall of code does make emcee running a lot quicker later, as we can do everything with fancier elementwise numpy evaluations that require significantly fewer lookups of array values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data_emcee = {}\n",
    "\n",
    "# Make some blank arrays to pop stuff on later\n",
    "data_emcee['ID'] = np.asarray(data['ID'])\n",
    "data_emcee['ra'] = np.asarray(data['ra'])\n",
    "data_emcee['dec'] = np.asarray(data['dec'])\n",
    "data_emcee['m_exp'] = np.zeros((N_bands, N_stars))\n",
    "data_emcee['m_sigma'] = np.zeros((N_bands, N_stars))\n",
    "data_emcee['omega_exp'] = np.asarray(data['omega_exp'])\n",
    "data_emcee['omega_sigma'] = np.asarray(data['omega_sigma'])\n",
    "data_emcee['N_stars'] = N_stars\n",
    "data_emcee['N_bands'] = N_bands\n",
    "\n",
    "# P errors are extremely small! We can get away with assuming logP ~ normal\n",
    "P_exp = np.asarray(data['P_exp'])\n",
    "P_sigma = np.asarray(data['P_sigma'])\n",
    "data_emcee['logP_exp'] = (np.log10(P_exp) - 1)\n",
    "data_emcee['logP_sigma'] = (np.log10(P_exp + P_sigma) \n",
    "                            - np.log10(P_exp - P_sigma)) / 2\n",
    "\n",
    "# Only include binary star stuff if we're even using them\n",
    "if N_binaries > 0:\n",
    "    data_emcee['N_binaries'] = N_binaries\n",
    "    data_emcee['ext_exp'] = np.asarray(binaries['ext_exp'])\n",
    "    data_emcee['ext_sigma'] = np.asarray(binaries['ext_sigma'])\n",
    "    data_emcee['gaia_exp'] = np.asarray(binaries['gaia_exp'])\n",
    "    data_emcee['gaia_sigma'] = np.asarray(binaries['gaia_sigma'])\n",
    "    \n",
    "# Only include metallicities if we're even using them, otherwise have zeros\n",
    "# as this is safer so nothing can be done with them\n",
    "if use_metallicities:\n",
    "    data_emcee['FeH_exp'] = np.asarray(data['FeH_exp'])\n",
    "    data_emcee['FeH_sigma'] = np.asarray(data['FeH_sigma'])\n",
    "else:\n",
    "    data_emcee['FeH_exp'] = np.zeros(N_stars)\n",
    "    data_emcee['FeH_sigma'] = np.zeros(N_stars)\n",
    "\n",
    "# Cycle over the bands and pop magnitude data in, making 'm_exp' into an array \n",
    "# of shape N_bands x N_good\n",
    "for a_band, band_number in zip(band_names, range(N_bands)):\n",
    "    data_emcee['m_exp'][band_number] = data['m_exp_' + a_band].copy()\n",
    "    data_emcee['m_sigma'][band_number] = data['m_sigma_' + a_band].copy()\n",
    "\n",
    "# Get the band number of the V band because it's useful - or, just set to the\n",
    "# 0th band so we at least have something to use for a guess.\n",
    "try:\n",
    "    data_emcee['V_band_number'] = band_names.index('V')\n",
    "except ValueError:\n",
    "    data_emcee['V_band_number'] = 0\n",
    "    \n",
    "# Precalculation of a_i and b_i (extinction coeffs in Rv law)\n",
    "data_emcee['precalculated_a_i'], data_emcee['precalculated_b_i'] = \\\n",
    "    calculate_extinction_coefficients(band_wavelengths)\n",
    "    \n",
    "# Re-shape them to work with later stuff\n",
    "data_emcee['precalculated_a_i'] = (data_emcee['precalculated_a_i']\n",
    "                                   .reshape(N_bands, 1))\n",
    "data_emcee['precalculated_b_i'] = (data_emcee['precalculated_b_i']\n",
    "                                   .reshape(N_bands, 1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Set initial expected hyperparameter guesses"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check `band_names` again so we do the right guesses"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['J', 'H', 'K']"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "band_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "guess_omega_0 = -0.029  # Gaia value\n",
    "guess_L = 500\n",
    "guess_Rv = 3.1  # Standard MW value\n",
    "\n",
    "# From Monson et al. (2012) - which had no metallicities, so we'll start off by\n",
    "# guessing no metallicity dependence and let BATDOG go from there.\n",
    "#guess_a = [-2.47, -2.77, -3.15, -3.23, -3.27]\n",
    "#guess_b = [ 0.00,  0.00,  0.00,  0.00,  0.00]\n",
    "#guess_c = [-3.37, -4.08, -5.33, -5.65, -5.70]\n",
    "#guess_s = [ 0.42,  0.31,  0.15,  0.12,  0.11]\n",
    "\n",
    "guess_a = [-3.15, -3.23, -3.27]\n",
    "guess_b = [ 0.00,  0.00,  0.00]\n",
    "guess_c = [-5.33, -5.65, -5.70]\n",
    "guess_s = [ 0.15,  0.12,  0.11]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create a starting guess parameters vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "ranges = create_new_ranges_dict(N_stars, N_binaries, N_bands)\n",
    "\n",
    "# Make up our starting guess as a long numpy array. This takes some faff and\n",
    "# appending to get right.\n",
    "\n",
    "# Only add Rv as a parameter if that's desired\n",
    "if infer_for_Rv:\n",
    "    starting_guess = np.asarray([guess_L, guess_Rv])\n",
    "else:\n",
    "    data_emcee['Rv'] = guess_Rv\n",
    "    starting_guess = np.asarray([guess_L])\n",
    "\n",
    "starting_guess = np.append(starting_guess, guess_a)\n",
    "\n",
    "if use_metallicities:\n",
    "    starting_guess = np.append(starting_guess, guess_b)\n",
    "else:\n",
    "    guess_b = np.zeros(N_bands)\n",
    "\n",
    "starting_guess = np.append(starting_guess, guess_c)\n",
    "starting_guess = np.append(starting_guess, guess_s)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Maximise said starting guess in a rigorous process\n",
    "To dramatically improve emcee's chances, the following cells attempt to make our starting guess as likely as possible before we even begin. Expect to spend some time fiddling to get the best guess for any input data.\n",
    "\n",
    "It works by first inferring the most likely parallaxes, and then using these to infer extinctions. Doing it in this order has been experimentally shown to stop likelihood_app_mag from being downright rude."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Find omega_0 from assumed-correct omega_B values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Firstly, let's maximise the prior probability of omega_B external values (if there are any!)\n",
    "\n",
    "Currently, this isn't super rigorous as binary stars haven't actually been used much in tests yet."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using user value for guess_omega_0 from above due to 0 binaries.\n"
     ]
    }
   ],
   "source": [
    "if N_binaries > 0:\n",
    "    # Take a simple mean value of the difference between Gaia and external \n",
    "    # binary star parallax measurements.\n",
    "    omega_binaries = data_emcee['ext_exp']\n",
    "    guess_omega_0 = np.mean(data_emcee['gaia_exp'] - omega_binaries)\n",
    "    print(\"Guessing guess_omega_0 at {}\".format(guess_omega_0))\n",
    "\n",
    "else:\n",
    "    omega_binaries = np.array([])\n",
    "    print(\"Using user value for guess_omega_0 from above due to 0 binaries.\")\n",
    "\n",
    "# Store omega_0 at the front and the omega_Bs at the end of starting_guess\n",
    "starting_guess = np.insert(starting_guess, 0, guess_omega_0)\n",
    "starting_guess = np.append(starting_guess, omega_binaries)\n",
    "hacked_guess = starting_guess.copy()  # A special guess for omega solving later"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Find L from a mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Guessing L from mean parallax values as 1094.879535051079\n"
     ]
    }
   ],
   "source": [
    "if prior_type == 'decreasing_space_density':\n",
    "    guess_L = 1 / (2 * np.mean(data_emcee['omega_exp'] - guess_omega_0) / 1e3 )\n",
    "    print(\"Guessing L from mean parallax values as {}\".format(guess_L))\n",
    "    starting_guess[1] = guess_L"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Parallax maximisation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, let's estimate parallax in three ways: with the Gaia values, with the PLR and with the distance prior parameter. We'll compare their individual likelihoods and only use the best one."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Guessing done. Where each different method was the best estimator:\n",
      "  gaia:  187\n",
      "  PLR:   34\n",
      "  prior: 9\n",
      "We failed to make a guess on 0 stars.\n"
     ]
    }
   ],
   "source": [
    "# Find the band with the estimated least scatter\n",
    "best_band_arg = np.argmin(guess_s)\n",
    "best_band = band_names[best_band_arg]\n",
    "\n",
    "# The Gaia parallaxes\n",
    "omega_gaia = data_emcee['omega_exp'] - guess_omega_0\n",
    "params_gaia = np.append(hacked_guess, omega_gaia)\n",
    "likelihood_gaia = (prior_parallax_variables(params_gaia, ranges, \n",
    "                                            parallax_prior_repo, False)\n",
    "                    + likelihood_parallax_variables(params_gaia, ranges, \n",
    "                                                    data_emcee, False))\n",
    "# The PLR parallaxes\n",
    "omega_PLR = np.power(10, np.asarray((\n",
    "                          guess_a[best_band_arg] * data_emcee['logP_exp']\n",
    "                          + guess_b[best_band_arg] * data_emcee['FeH_exp']\n",
    "                          + guess_c[best_band_arg]\n",
    "                          + 0.5  # + data['A_exp_' + best_band]   # BIG CHEEKY x0 HERE COS I HAVE NO EXTINCTIONS TO CF\n",
    "                          + 10 - data['m_exp_' + best_band]) / 5))\n",
    "params_PLR = np.append(hacked_guess, omega_PLR)\n",
    "likelihood_PLR = (prior_parallax_variables(params_PLR, ranges, \n",
    "                                           parallax_prior_repo, False)\n",
    "                    + likelihood_parallax_variables(params_PLR, ranges, \n",
    "                                                    data_emcee, False))\n",
    "# The prior parallaxes\n",
    "omega_prior = np.repeat(\n",
    "    1e3/((int(prior_type == 'decreasing_space_density') + 1) * guess_L), N_stars)\n",
    "params_prior = np.append(hacked_guess, omega_prior)\n",
    "likelihood_prior = (prior_parallax_variables(params_prior, ranges, \n",
    "                                             parallax_prior_repo, False)\n",
    "                    + likelihood_parallax_variables(params_prior, ranges, \n",
    "                                                    data_emcee, False))\n",
    "\n",
    "# Find where Gaia is the best\n",
    "best_gaia = np.where(np.logical_and(\n",
    "                         np.logical_and(\n",
    "                             np.isfinite(likelihood_gaia),\n",
    "                             likelihood_gaia >= likelihood_PLR),\n",
    "                         likelihood_gaia >= likelihood_prior), True, False)\n",
    "\n",
    "# Find where the PLR is the best\n",
    "best_PLR = np.where(np.logical_and(\n",
    "                         np.logical_and(\n",
    "                             np.isfinite(likelihood_PLR),\n",
    "                             likelihood_PLR > likelihood_gaia),\n",
    "                         likelihood_PLR > likelihood_prior), True, False)\n",
    "\n",
    "# Find where the prior is the best\n",
    "best_prior = np.where(np.logical_and(\n",
    "                         np.logical_and(\n",
    "                             np.isfinite(likelihood_prior),\n",
    "                             likelihood_prior > likelihood_PLR),\n",
    "                         likelihood_prior > likelihood_gaia), True, False)\n",
    "\n",
    "# Pop all the best guesses in a single array\n",
    "omega_best = np.full(N_stars, np.nan)\n",
    "omega_best[best_gaia == True] = omega_gaia[best_gaia == True]\n",
    "omega_best[best_PLR == True] = omega_PLR[best_PLR == True]\n",
    "omega_best[best_prior == True] = omega_prior[best_prior == True]\n",
    "\n",
    "# Keep a list of stars that worked, and sort it so it's in ascending order\n",
    "omega_success_guessed = np.append(np.append(np.where(best_gaia == True)[0], \n",
    "                                            np.where(best_PLR == True)[0]), \n",
    "                                            np.where(best_prior == True)[0])\n",
    "omega_success_guessed = np.sort(omega_success_guessed)\n",
    "#omega_failed_guess = np.\n",
    "\n",
    "# Tell the user about how it all went =)\n",
    "print(\"Guessing done. Where each different method was the best estimator:\")\n",
    "print(\"  gaia:  {}\".format(len(np.where(best_gaia == True)[0])))\n",
    "print(\"  PLR:   {}\".format(len(np.where(best_PLR == True)[0])))\n",
    "print(\"  prior: {}\".format(len(np.where(best_prior == True)[0])))\n",
    "print(\"We failed to make a guess on {} stars.\"\n",
    "      .format(N_stars - len(omega_success_guessed)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, let's use scipy to hone in on the best values for our parallaxes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Trying to maximise star 0...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.396820\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 0\n",
      "\n",
      "Trying to maximise star 1...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 9.106977\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 1\n",
      "\n",
      "Trying to maximise star 2...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 10.386182\n",
      "         Iterations: 13\n",
      "         Function evaluations: 26\n",
      "  Successfully maximised for star 2\n",
      "\n",
      "Trying to maximise star 3...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.584522\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 3\n",
      "\n",
      "Trying to maximise star 4...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.319336\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 4\n",
      "\n",
      "Trying to maximise star 5...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.710585\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 5\n",
      "\n",
      "Trying to maximise star 6...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.231304\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 6\n",
      "\n",
      "Trying to maximise star 7...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 9.849252\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 7\n",
      "\n",
      "Trying to maximise star 8...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 9.914231\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 8\n",
      "\n",
      "Trying to maximise star 9...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.956875\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 9\n",
      "\n",
      "Trying to maximise star 10...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 10.345143\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 10\n",
      "\n",
      "Trying to maximise star 11...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.486373\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 11\n",
      "\n",
      "Trying to maximise star 12...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 8.041279\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "  Successfully maximised for star 12\n",
      "\n",
      "Trying to maximise star 13...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 13.865618\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 13\n",
      "\n",
      "Trying to maximise star 14...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.304463\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 14\n",
      "\n",
      "Trying to maximise star 15...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 9.235876\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 15\n",
      "\n",
      "Trying to maximise star 16...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 10.682117\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 16\n",
      "\n",
      "Trying to maximise star 17...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.036326\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 17\n",
      "\n",
      "Trying to maximise star 18...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.738568\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 18\n",
      "\n",
      "Trying to maximise star 19...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.812393\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 19\n",
      "\n",
      "Trying to maximise star 20...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.691573\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 20\n",
      "\n",
      "Trying to maximise star 21...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 9.155997\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 21\n",
      "\n",
      "Trying to maximise star 22...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 8.186449\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 22\n",
      "\n",
      "Trying to maximise star 23...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.990903\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 23\n",
      "\n",
      "Trying to maximise star 24...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 11.254723\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 24\n",
      "\n",
      "Trying to maximise star 25...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 8.964780\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 25\n",
      "\n",
      "Trying to maximise star 26...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.837587\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 26\n",
      "\n",
      "Trying to maximise star 27...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 12.301719\n",
      "         Iterations: 13\n",
      "         Function evaluations: 26\n",
      "  Successfully maximised for star 27\n",
      "\n",
      "Trying to maximise star 28...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 10.928469\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "  Successfully maximised for star 28\n",
      "\n",
      "Trying to maximise star 29...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 8.975476\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 29\n",
      "\n",
      "Trying to maximise star 30...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.999242\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 30\n",
      "\n",
      "Trying to maximise star 31...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.734070\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 31\n",
      "\n",
      "Trying to maximise star 32...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.596555\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 32\n",
      "\n",
      "Trying to maximise star 33...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.141334\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 33\n",
      "\n",
      "Trying to maximise star 34...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.246312\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 34\n",
      "\n",
      "Trying to maximise star 35...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.898102\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 35\n",
      "\n",
      "Trying to maximise star 36...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.869025\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 36\n",
      "\n",
      "Trying to maximise star 37...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.888134\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 37\n",
      "\n",
      "Trying to maximise star 38...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.888768\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "  Successfully maximised for star 38\n",
      "\n",
      "Trying to maximise star 39...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.327257\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 39\n",
      "\n",
      "Trying to maximise star 40...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 9.539242\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 40\n",
      "\n",
      "Trying to maximise star 41...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.787150\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 41\n",
      "\n",
      "Trying to maximise star 42...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 8.911286\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 42\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Trying to maximise star 43...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.396062\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 43\n",
      "\n",
      "Trying to maximise star 44...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.248592\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 44\n",
      "\n",
      "Trying to maximise star 45...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.077515\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 45\n",
      "\n",
      "Trying to maximise star 46...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.423067\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 46\n",
      "\n",
      "Trying to maximise star 47...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 8.750893\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 47\n",
      "\n",
      "Trying to maximise star 48...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.585032\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 48\n",
      "\n",
      "Trying to maximise star 49...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 13.761753\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 49\n",
      "\n",
      "Trying to maximise star 50...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.261252\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 50\n",
      "\n",
      "Trying to maximise star 51...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 10.292112\n",
      "         Iterations: 12\n",
      "         Function evaluations: 24\n",
      "  Successfully maximised for star 51\n",
      "\n",
      "Trying to maximise star 52...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.077687\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 52\n",
      "\n",
      "Trying to maximise star 53...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 9.202046\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "  Successfully maximised for star 53\n",
      "\n",
      "Trying to maximise star 54...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.673474\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 54\n",
      "\n",
      "Trying to maximise star 55...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 20.921493\n",
      "         Iterations: 7\n",
      "         Function evaluations: 14\n",
      "  Successfully maximised for star 55\n",
      "\n",
      "Trying to maximise star 56...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.992419\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 56\n",
      "\n",
      "Trying to maximise star 57...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.440066\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 57\n",
      "\n",
      "Trying to maximise star 58...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 10.712066\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 58\n",
      "\n",
      "Trying to maximise star 59...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.505158\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 59\n",
      "\n",
      "Trying to maximise star 60...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.755419\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 60\n",
      "\n",
      "Trying to maximise star 61...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.049625\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 61\n",
      "\n",
      "Trying to maximise star 62...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.090005\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 62\n",
      "\n",
      "Trying to maximise star 63...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 11.077165\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 63\n",
      "\n",
      "Trying to maximise star 64...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 9.922345\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 64\n",
      "\n",
      "Trying to maximise star 65...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.461787\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 65\n",
      "\n",
      "Trying to maximise star 66...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.978246\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 66\n",
      "\n",
      "Trying to maximise star 67...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.913851\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 67\n",
      "\n",
      "Trying to maximise star 68...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.240202\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 68\n",
      "\n",
      "Trying to maximise star 69...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.201402\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 69\n",
      "\n",
      "Trying to maximise star 70...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 4.834607\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 70\n",
      "\n",
      "Trying to maximise star 71...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.582954\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 71\n",
      "\n",
      "Trying to maximise star 72...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.165672\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 72\n",
      "\n",
      "Trying to maximise star 73...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.646985\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 73\n",
      "\n",
      "Trying to maximise star 74...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.424504\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 74\n",
      "\n",
      "Trying to maximise star 75...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.753246\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 75\n",
      "\n",
      "Trying to maximise star 76...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 4.845937\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 76\n",
      "\n",
      "Trying to maximise star 77...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.993591\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 77\n",
      "\n",
      "Trying to maximise star 78...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.991357\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 78\n",
      "\n",
      "Trying to maximise star 79...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.399350\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 79\n",
      "\n",
      "Trying to maximise star 80...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.616310\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 80\n",
      "\n",
      "Trying to maximise star 81...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 24.544028\n",
      "         Iterations: 7\n",
      "         Function evaluations: 14\n",
      "  Successfully maximised for star 81\n",
      "\n",
      "Trying to maximise star 82...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.843103\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 82\n",
      "\n",
      "Trying to maximise star 83...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.689354\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 83\n",
      "\n",
      "Trying to maximise star 84...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 9.180346\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 84\n",
      "\n",
      "Trying to maximise star 85...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.566328\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 85\n",
      "\n",
      "Trying to maximise star 86...\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully.\n",
      "         Current function value: 5.834090\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 86\n",
      "\n",
      "Trying to maximise star 87...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.310659\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 87\n",
      "\n",
      "Trying to maximise star 88...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.078429\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 88\n",
      "\n",
      "Trying to maximise star 89...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.277700\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 89\n",
      "\n",
      "Trying to maximise star 90...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.875428\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 90\n",
      "\n",
      "Trying to maximise star 91...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.068147\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 91\n",
      "\n",
      "Trying to maximise star 92...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.939047\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 92\n",
      "\n",
      "Trying to maximise star 93...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 10.306365\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 93\n",
      "\n",
      "Trying to maximise star 94...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.931062\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "  Successfully maximised for star 94\n",
      "\n",
      "Trying to maximise star 95...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.856429\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 95\n",
      "\n",
      "Trying to maximise star 96...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 9.686838\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "  Successfully maximised for star 96\n",
      "\n",
      "Trying to maximise star 97...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.928308\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 97\n",
      "\n",
      "Trying to maximise star 98...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.280588\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 98\n",
      "\n",
      "Trying to maximise star 99...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.017769\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 99\n",
      "\n",
      "Trying to maximise star 100...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.051212\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 100\n",
      "\n",
      "Trying to maximise star 101...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.478069\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 101\n",
      "\n",
      "Trying to maximise star 102...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.225780\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 102\n",
      "\n",
      "Trying to maximise star 103...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.074814\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 103\n",
      "\n",
      "Trying to maximise star 104...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.954874\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 104\n",
      "\n",
      "Trying to maximise star 105...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 8.019892\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 105\n",
      "\n",
      "Trying to maximise star 106...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.524641\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 106\n",
      "\n",
      "Trying to maximise star 107...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.506363\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 107\n",
      "\n",
      "Trying to maximise star 108...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 9.998307\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "  Successfully maximised for star 108\n",
      "\n",
      "Trying to maximise star 109...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 8.053679\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "  Successfully maximised for star 109\n",
      "\n",
      "Trying to maximise star 110...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 19.575890\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 110\n",
      "\n",
      "Trying to maximise star 111...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.469142\n",
      "         Iterations: 13\n",
      "         Function evaluations: 26\n",
      "  Successfully maximised for star 111\n",
      "\n",
      "Trying to maximise star 112...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.305133\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 112\n",
      "\n",
      "Trying to maximise star 113...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.434701\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 113\n",
      "\n",
      "Trying to maximise star 114...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.107071\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 114\n",
      "\n",
      "Trying to maximise star 115...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 12.001362\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "  Successfully maximised for star 115\n",
      "\n",
      "Trying to maximise star 116...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.819555\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 116\n",
      "\n",
      "Trying to maximise star 117...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.134272\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 117\n",
      "\n",
      "Trying to maximise star 118...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.615575\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 118\n",
      "\n",
      "Trying to maximise star 119...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.016051\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 119\n",
      "\n",
      "Trying to maximise star 120...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 19.457616\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 120\n",
      "\n",
      "Trying to maximise star 121...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.566692\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 121\n",
      "\n",
      "Trying to maximise star 122...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.182360\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 122\n",
      "\n",
      "Trying to maximise star 123...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 10.192171\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 123\n",
      "\n",
      "Trying to maximise star 124...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.898735\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 124\n",
      "\n",
      "Trying to maximise star 125...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.261691\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 125\n",
      "\n",
      "Trying to maximise star 126...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.283228\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  Successfully maximised for star 126\n",
      "\n",
      "Trying to maximise star 127...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.918584\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 127\n",
      "\n",
      "Trying to maximise star 128...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.859762\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "  Successfully maximised for star 128\n",
      "\n",
      "Trying to maximise star 129...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 8.934927\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 129\n",
      "\n",
      "Trying to maximise star 130...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.737569\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 130\n",
      "\n",
      "Trying to maximise star 131...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.612948\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 131\n",
      "\n",
      "Trying to maximise star 132...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.414277\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 132\n",
      "\n",
      "Trying to maximise star 133...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 20.194057\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "  Successfully maximised for star 133\n",
      "\n",
      "Trying to maximise star 134...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 10.395983\n",
      "         Iterations: 12\n",
      "         Function evaluations: 24\n",
      "  Successfully maximised for star 134\n",
      "\n",
      "Trying to maximise star 135...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 10.181802\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 135\n",
      "\n",
      "Trying to maximise star 136...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 10.141577\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 136\n",
      "\n",
      "Trying to maximise star 137...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.080826\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 137\n",
      "\n",
      "Trying to maximise star 138...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.596582\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 138\n",
      "\n",
      "Trying to maximise star 139...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 9.467841\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 139\n",
      "\n",
      "Trying to maximise star 140...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.514515\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 140\n",
      "\n",
      "Trying to maximise star 141...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.563302\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 141\n",
      "\n",
      "Trying to maximise star 142...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 9.702734\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "  Successfully maximised for star 142\n",
      "\n",
      "Trying to maximise star 143...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.515108\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 143\n",
      "\n",
      "Trying to maximise star 144...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.303732\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 144\n",
      "\n",
      "Trying to maximise star 145...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.472176\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 145\n",
      "\n",
      "Trying to maximise star 146...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.008906\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 146\n",
      "\n",
      "Trying to maximise star 147...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.484484\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 147\n",
      "\n",
      "Trying to maximise star 148...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.053728\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 148\n",
      "\n",
      "Trying to maximise star 149...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.562846\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 149\n",
      "\n",
      "Trying to maximise star 150...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.396546\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 150\n",
      "\n",
      "Trying to maximise star 151...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.740244\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 151\n",
      "\n",
      "Trying to maximise star 152...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.977722\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 152\n",
      "\n",
      "Trying to maximise star 153...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.156929\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 153\n",
      "\n",
      "Trying to maximise star 154...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.561486\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 154\n",
      "\n",
      "Trying to maximise star 155...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.014891\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 155\n",
      "\n",
      "Trying to maximise star 156...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.884200\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 156\n",
      "\n",
      "Trying to maximise star 157...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.021912\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 157\n",
      "\n",
      "Trying to maximise star 158...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.965853\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 158\n",
      "\n",
      "Trying to maximise star 159...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.116320\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 159\n",
      "\n",
      "Trying to maximise star 160...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.089430\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 160\n",
      "\n",
      "Trying to maximise star 161...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.307361\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 161\n",
      "\n",
      "Trying to maximise star 162...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 40.178237\n",
      "         Iterations: 14\n",
      "         Function evaluations: 28\n",
      "  Successfully maximised for star 162\n",
      "\n",
      "Trying to maximise star 163...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.401310\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 163\n",
      "\n",
      "Trying to maximise star 164...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.983229\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 164\n",
      "\n",
      "Trying to maximise star 165...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.889421\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 165\n",
      "\n",
      "Trying to maximise star 166...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.272990\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 166\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Trying to maximise star 167...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.182515\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 167\n",
      "\n",
      "Trying to maximise star 168...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.529192\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 168\n",
      "\n",
      "Trying to maximise star 169...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.201322\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 169\n",
      "\n",
      "Trying to maximise star 170...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.189889\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 170\n",
      "\n",
      "Trying to maximise star 171...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 4.716034\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 171\n",
      "\n",
      "Trying to maximise star 172...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 8.321466\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 172\n",
      "\n",
      "Trying to maximise star 173...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 9.368660\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 173\n",
      "\n",
      "Trying to maximise star 174...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.544843\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 174\n",
      "\n",
      "Trying to maximise star 175...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 12.564373\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 175\n",
      "\n",
      "Trying to maximise star 176...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.925135\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 176\n",
      "\n",
      "Trying to maximise star 177...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.017511\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 177\n",
      "\n",
      "Trying to maximise star 178...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.152611\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 178\n",
      "\n",
      "Trying to maximise star 179...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.821710\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 179\n",
      "\n",
      "Trying to maximise star 180...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.137995\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 180\n",
      "\n",
      "Trying to maximise star 181...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.084950\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 181\n",
      "\n",
      "Trying to maximise star 182...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.245301\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 182\n",
      "\n",
      "Trying to maximise star 183...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.365539\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 183\n",
      "\n",
      "Trying to maximise star 184...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 12.042659\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 184\n",
      "\n",
      "Trying to maximise star 185...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.043892\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 185\n",
      "\n",
      "Trying to maximise star 186...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.175524\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 186\n",
      "\n",
      "Trying to maximise star 187...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.832174\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 187\n",
      "\n",
      "Trying to maximise star 188...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.940273\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 188\n",
      "\n",
      "Trying to maximise star 189...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.889217\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 189\n",
      "\n",
      "Trying to maximise star 190...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 10.328811\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 190\n",
      "\n",
      "Trying to maximise star 191...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.488081\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 191\n",
      "\n",
      "Trying to maximise star 192...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.919650\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 192\n",
      "\n",
      "Trying to maximise star 193...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.115502\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 193\n",
      "\n",
      "Trying to maximise star 194...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 8.385188\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 194\n",
      "\n",
      "Trying to maximise star 195...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.715212\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 195\n",
      "\n",
      "Trying to maximise star 196...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.063630\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 196\n",
      "\n",
      "Trying to maximise star 197...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.487472\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 197\n",
      "\n",
      "Trying to maximise star 198...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.843180\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 198\n",
      "\n",
      "Trying to maximise star 199...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 26.747021\n",
      "         Iterations: 14\n",
      "         Function evaluations: 28\n",
      "  Successfully maximised for star 199\n",
      "\n",
      "Trying to maximise star 200...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.772519\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 200\n",
      "\n",
      "Trying to maximise star 201...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.755342\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 201\n",
      "\n",
      "Trying to maximise star 202...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.100747\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 202\n",
      "\n",
      "Trying to maximise star 203...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.354690\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 203\n",
      "\n",
      "Trying to maximise star 204...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.236174\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 204\n",
      "\n",
      "Trying to maximise star 205...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.073705\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 205\n",
      "\n",
      "Trying to maximise star 206...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.577354\n",
      "         Iterations: 9\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 206\n",
      "\n",
      "Trying to maximise star 207...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 10.715008\n",
      "         Iterations: 12\n",
      "         Function evaluations: 24\n",
      "  Successfully maximised for star 207\n",
      "\n",
      "Trying to maximise star 208...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 4.947663\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 208\n",
      "\n",
      "Trying to maximise star 209...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.292892\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 209\n",
      "\n",
      "Trying to maximise star 210...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.264678\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 210\n",
      "\n",
      "Trying to maximise star 211...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.282577\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 211\n",
      "\n",
      "Trying to maximise star 212...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 4.904636\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 212\n",
      "\n",
      "Trying to maximise star 213...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.312903\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 213\n",
      "\n",
      "Trying to maximise star 214...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.025192\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 214\n",
      "\n",
      "Trying to maximise star 215...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.525105\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 215\n",
      "\n",
      "Trying to maximise star 216...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.080187\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 216\n",
      "\n",
      "Trying to maximise star 217...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.662904\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 217\n",
      "\n",
      "Trying to maximise star 218...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.635831\n",
      "         Iterations: 12\n",
      "         Function evaluations: 24\n",
      "  Successfully maximised for star 218\n",
      "\n",
      "Trying to maximise star 219...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 4.996804\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 219\n",
      "\n",
      "Trying to maximise star 220...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.422373\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 220\n",
      "\n",
      "Trying to maximise star 221...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.564880\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 221\n",
      "\n",
      "Trying to maximise star 222...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.378992\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 222\n",
      "\n",
      "Trying to maximise star 223...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 4.874695\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 223\n",
      "\n",
      "Trying to maximise star 224...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.681265\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 224\n",
      "\n",
      "Trying to maximise star 225...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.030176\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "  Successfully maximised for star 225\n",
      "\n",
      "Trying to maximise star 226...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 6.291222\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 226\n",
      "\n",
      "Trying to maximise star 227...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.393947\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 227\n",
      "\n",
      "Trying to maximise star 228...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.784187\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "  Successfully maximised for star 228\n",
      "\n",
      "Trying to maximise star 229...\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 5.337644\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "  Successfully maximised for star 229\n",
      "\n",
      "Successful maximisations: 230\n",
      "Failed maximisations: 0\n"
     ]
    }
   ],
   "source": [
    "def function_to_minimise(omega, an_ID, starting_guess, ranges, data):\n",
    "    \"\"\"This function is mostly just to make interfacing between scipy and\n",
    "    my functons possible. Note that we multiply by -1 because scipy's\n",
    "    algorithms minimise, not maximise.\n",
    "    \"\"\"\n",
    "    # Pop the singular parallax on the end of a position vector\n",
    "    params = np.append(starting_guess, omega)\n",
    "         \n",
    "    # Return the sum of all the different ways in which the parallax\n",
    "    # can be maximised\n",
    "    return -1 * (np.sum(prior_parallax_variables(params, ranges, \n",
    "                                                 parallax_prior_repo, False))\n",
    "                 + np.sum(likelihood_parallax_variables(\n",
    "                                          params, ranges, data, False)))\n",
    "\n",
    "# Keep a list of all the parallaxes that get through this step\n",
    "omega_success_maximised = np.array([]).astype('int64')\n",
    "omega_fails_maximised = np.array([]).astype('int64')\n",
    "\n",
    "# Keep a list of the actual parallaxes themselves that have worked\n",
    "omega_maximised = np.array([])\n",
    "\n",
    "# Make hacked ranges and data dictionaries that ensures later methods only\n",
    "# look for one star\n",
    "hacked_ranges = ranges.copy()\n",
    "hacked_ranges['omega'] = hacked_ranges['omega'][0]\n",
    "hacked_ranges['A'] = hacked_ranges['omega'] + 1\n",
    "\n",
    "hacked_data = data_emcee.copy()\n",
    "hacked_data['N_stars'] = 1\n",
    "\n",
    "# Cycle over our stars\n",
    "for a_star in omega_success_guessed:\n",
    "    print(\"Trying to maximise star {}...\".format(a_star))\n",
    "    \n",
    "    # Get the ID of this star\n",
    "    an_ID = data_emcee['ID'][a_star]\n",
    "    \n",
    "    # We cheat a bit here and make a fake data dict for interfacing purposes\n",
    "    hacked_data['omega_exp'] = data_emcee['omega_exp'][a_star]\n",
    "    hacked_data['omega_sigma'] = data_emcee['omega_sigma'][a_star]\n",
    "\n",
    "    # Do the scipy bit and get an OptimizeResult type object back\n",
    "    result = minimize(function_to_minimise, omega_best[a_star], \n",
    "                          args=(an_ID, hacked_guess, \n",
    "                                hacked_ranges, hacked_data), \n",
    "                          method='Nelder-Mead',\n",
    "                          options={'maxiter':200, 'disp':True})\n",
    "        \n",
    "    if result.success:\n",
    "        print(\"  Successfully maximised for star {}\\n\".format(a_star))\n",
    "        # Keep a record of star numbers that worked\n",
    "        omega_success_maximised = np.append(omega_success_maximised, a_star)\n",
    "        omega_maximised = np.append(omega_maximised, result.x)\n",
    "        \n",
    "    else:\n",
    "        print(\"~~FAILED to maximise star {}\\n\".format(a_star))\n",
    "        omega_fails_maximised = np.append(omega_fails_maximised, a_star)\n",
    "       \n",
    "print(\"Successful maximisations: {}\".format(len(omega_success_maximised)))\n",
    "print(\"Failed maximisations: {}\".format(len(omega_fails_maximised)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Taking a quick peek at the maximised values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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96e7v136tu48GRgMUFBR47eMi9WrgRu8O/IGgx/LQ8cfTet68FAUTSU+J9PhX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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.errorbar(omega_gaia, omega_maximised, fmt='rs', lw=1, ms=2, xerr=[data_emcee['omega_sigma'], data_emcee['omega_sigma']])\n",
    "plt.plot([0.0, 2.0], [0.0, 2.0], 'k-')\n",
    "plt.xlabel(\"Gaia values\")\n",
    "plt.ylabel(\"Maximised values\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Inference of extinctions from parallax guesses\n",
    "Lastly, we're going to infer extinction values from the parallax guesses, and check that these values aren't crap by evaluating posterior() for these guesses."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Trying to find extinction for star 0...\n",
      "  guessed extinction as: -0.4311669696232426\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 1...\n",
      "  guessed extinction as: 7.344261008233549\n",
      "  FAILURE! posterior() has a value -11.285462562335923 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 2...\n",
      "  guessed extinction as: -3.2446333639125893\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 3...\n",
      "  guessed extinction as: 1.4220396347171798\n",
      "  FAILURE! posterior() has a value 1.9301208594768902 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 4...\n",
      "  guessed extinction as: 1.3811949979923661\n",
      "  FAILURE! posterior() has a value 3.10871450338018 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 5...\n",
      "  guessed extinction as: 7.488974440446782\n",
      "  Success! posterior() is finite, with a value -12.294265446396158\n",
      "  star 5 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 6...\n",
      "  guessed extinction as: 4.388108780232881\n",
      "  FAILURE! posterior() has a value -0.36435272933766427 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 7...\n",
      "  guessed extinction as: -1.2566100102238094\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 8...\n",
      "  guessed extinction as: 1.4821405793321303\n",
      "  FAILURE! posterior() has a value -0.43512720600643284 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 9...\n",
      "  guessed extinction as: 1.8484844728759962\n",
      "  FAILURE! posterior() has a value 2.492415896639704 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 10...\n",
      "  guessed extinction as: 0.7955310085795682\n",
      "  FAILURE! posterior() has a value -0.9049711926250819 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 11...\n",
      "  guessed extinction as: 5.549735484550492\n",
      "  FAILURE! posterior() has a value -11.180680763656774 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 12...\n",
      "  guessed extinction as: 3.3268171139014786\n",
      "  FAILURE! posterior() has a value 0.7906717649333643 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 13...\n",
      "  guessed extinction as: 6.100556119127127\n",
      "  FAILURE! posterior() has a value -10.847104315113175 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 14...\n",
      "  guessed extinction as: 2.4866864700068247\n",
      "  FAILURE! posterior() has a value -5.064441777831946 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 15...\n",
      "  guessed extinction as: -0.7652173338774932\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 16...\n",
      "  guessed extinction as: -2.318432377364333\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 17...\n",
      "  guessed extinction as: 1.6665323210972933\n",
      "  Success! posterior() is finite, with a value 3.2307204190314884\n",
      "  star 17 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 18...\n",
      "  guessed extinction as: 5.247600857560058\n",
      "  FAILURE! posterior() has a value -3.540723381509526 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 19...\n",
      "  guessed extinction as: 6.247569471233344\n",
      "  Success! posterior() is finite, with a value -1.34145464822786\n",
      "  star 19 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 20...\n",
      "  guessed extinction as: -0.00553223039647013\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 20 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 21...\n",
      "  guessed extinction as: 2.237774839005309\n",
      "  FAILURE! posterior() has a value 0.15528491067667005 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 22...\n",
      "  guessed extinction as: 5.677264275115535\n",
      "  FAILURE! posterior() has a value -5.661037353714162 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 23...\n",
      "  guessed extinction as: 5.389803408858271\n",
      "  FAILURE! posterior() has a value -4.333182335380487 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 24...\n",
      "  guessed extinction as: 5.954583377620859\n",
      "  FAILURE! posterior() has a value -15.308172029355257 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 25...\n",
      "  guessed extinction as: 8.156546395479186\n",
      "  FAILURE! posterior() has a value -18.469820444410832 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 26...\n",
      "  guessed extinction as: 0.0808457683126183\n",
      "  Success! posterior() is finite, with a value 3.5715181489153034\n",
      "  star 26 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 27...\n",
      "  guessed extinction as: -2.172096187109599\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 28...\n",
      "  guessed extinction as: 4.7011027732174275\n",
      "  FAILURE! posterior() has a value -5.315085925688359 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 29...\n",
      "  guessed extinction as: 2.6818049542229088\n",
      "  FAILURE! posterior() has a value -0.37046718379418153 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 30...\n",
      "  guessed extinction as: 0.9875288487543676\n",
      "  FAILURE! posterior() has a value 1.4143575134198816 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 31...\n",
      "  guessed extinction as: 0.5224338381686117\n",
      "  FAILURE! posterior() has a value 2.599666948622083 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 32...\n",
      "  guessed extinction as: -0.8534058740660275\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 32 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 33...\n",
      "  guessed extinction as: -31.78210245990305\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 33 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 34...\n",
      "  guessed extinction as: -2.3028534001781393\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 34 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 35...\n",
      "  guessed extinction as: 0.02801232923981524\n",
      "  Success! posterior() is finite, with a value 3.0994125690522125\n",
      "  star 35 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 36...\n",
      "  guessed extinction as: 0.3526210523502507\n",
      "  Success! posterior() is finite, with a value 3.1734148495090224\n",
      "  star 36 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 37...\n",
      "  guessed extinction as: -1.5808469708848274\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 37 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 38...\n",
      "  guessed extinction as: -0.0014748445448385075\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 39...\n",
      "  guessed extinction as: 3.3852846254215025\n",
      "  FAILURE! posterior() has a value 1.3160221230280857 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 40...\n",
      "  guessed extinction as: 1.1337256834949612\n",
      "  FAILURE! posterior() has a value -1.365212456342272 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 41...\n",
      "  guessed extinction as: 4.991872600342135\n",
      "  FAILURE! posterior() has a value 0.06447072879471527 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 42...\n",
      "  guessed extinction as: 1.7920940144972637\n",
      "  FAILURE! posterior() has a value 0.13997276329366315 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 43...\n",
      "  guessed extinction as: 2.74443482224258\n",
      "  FAILURE! posterior() has a value 1.5691992813088511 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 44...\n",
      "  guessed extinction as: 3.8304504895128435\n",
      "  Success! posterior() is finite, with a value 1.7088666707615863\n",
      "  star 44 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 45...\n",
      "  guessed extinction as: 1.5640676116004941\n",
      "  Success! posterior() is finite, with a value 2.678863947844201\n",
      "  star 45 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 46...\n",
      "  guessed extinction as: 2.255326082109544\n",
      "  FAILURE! posterior() has a value 2.8785717378026767 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 47...\n",
      "  guessed extinction as: 6.826610249736365\n",
      "  FAILURE! posterior() has a value -7.703143697563112 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 48...\n",
      "  guessed extinction as: 0.2429927763194174\n",
      "  Success! posterior() is finite, with a value 2.131358852353536\n",
      "  star 48 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 49...\n",
      "  guessed extinction as: 0.6858658553795728\n",
      "  FAILURE! posterior() has a value -4.776166130840219 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 50...\n",
      "  guessed extinction as: -2.4001705566239355\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 50 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 51...\n",
      "  guessed extinction as: -43.352060107087844\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 52...\n",
      "  guessed extinction as: 4.815313340049597\n",
      "  Success! posterior() is finite, with a value 2.031369210833704\n",
      "  star 52 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 53...\n",
      "  guessed extinction as: 4.065140667114226\n",
      "  FAILURE! posterior() has a value -0.8660204431169163 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 54...\n",
      "  guessed extinction as: 4.400550667781332\n",
      "  FAILURE! posterior() has a value -1.209955380398951 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 55...\n",
      "  guessed extinction as: 4.26829001181605\n",
      "  FAILURE! posterior() has a value -15.617643813862244 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 56...\n",
      "  guessed extinction as: 5.674187877331857\n",
      "  FAILURE! posterior() has a value -7.507470236429147 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 57...\n",
      "  guessed extinction as: 0.1432789598569117\n",
      "  Success! posterior() is finite, with a value 2.2888067862009427\n",
      "  star 57 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 58...\n",
      "  guessed extinction as: 1.509530808318321\n",
      "  FAILURE! posterior() has a value -1.3360563997992614 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 59...\n",
      "  guessed extinction as: 2.933794169086796\n",
      "  FAILURE! posterior() has a value 1.9238570735777758 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 60...\n",
      "  guessed extinction as: 3.182887197241509\n",
      "  FAILURE! posterior() has a value 2.236371849094965 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 61...\n",
      "  guessed extinction as: 1.7328893762800648\n",
      "  Success! posterior() is finite, with a value 3.437755336690807\n",
      "  star 61 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 62...\n",
      "  guessed extinction as: 0.04257084304712544\n",
      "  FAILURE! posterior() has a value -0.2634590420525864 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 63...\n",
      "  guessed extinction as: 1.8991793555869592\n",
      "  FAILURE! posterior() has a value -1.6438590625167908 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 64...\n",
      "  guessed extinction as: -1.4308650067406594\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 65...\n",
      "  guessed extinction as: 5.501250888374747\n",
      "  FAILURE! posterior() has a value -1.43274181602893 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 66...\n",
      "  guessed extinction as: 2.050144601220019\n",
      "  Success! posterior() is finite, with a value 3.2002612826993513\n",
      "  star 66 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 67...\n",
      "  guessed extinction as: 1.815761378504269\n",
      "  FAILURE! posterior() has a value 1.2879151976387515 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 68...\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  guessed extinction as: -9.272619884829197\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 69...\n",
      "  guessed extinction as: -2.472805729351574\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 69 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 70...\n",
      "  guessed extinction as: 0.9000912855006862\n",
      "  Success! posterior() is finite, with a value 4.735040575142017\n",
      "  star 70 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 71...\n",
      "  guessed extinction as: 1.4810215526323658\n",
      "  Success! posterior() is finite, with a value 3.8495334327871085\n",
      "  star 71 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 72...\n",
      "  guessed extinction as: 3.9209731818129208\n",
      "  Success! posterior() is finite, with a value 1.9724945699136978\n",
      "  star 72 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 73...\n",
      "  guessed extinction as: -1.0746508277469626\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 73 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 74...\n",
      "  guessed extinction as: 0.3477270862476135\n",
      "  Success! posterior() is finite, with a value 3.851120365953328\n",
      "  star 74 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 75...\n",
      "  guessed extinction as: -5.007235304612026\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 75 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 76...\n",
      "  guessed extinction as: 2.28923380201754\n",
      "  Success! posterior() is finite, with a value 4.186410799856959\n",
      "  star 76 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 77...\n",
      "  guessed extinction as: -0.17866008605965542\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 77 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 78...\n",
      "  guessed extinction as: 3.732875235777775\n",
      "  FAILURE! posterior() has a value 1.7087417547168409 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 79...\n",
      "  guessed extinction as: 4.9032959252430715\n",
      "  FAILURE! posterior() has a value -1.2881760151380082 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 80...\n",
      "  guessed extinction as: 1.463801268166581\n",
      "  FAILURE! posterior() has a value 2.617542983366576 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 81...\n",
      "  guessed extinction as: 6.584301821686501\n",
      "  Success! posterior() is finite, with a value -18.31131853153679\n",
      "  star 81 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 82...\n",
      "  guessed extinction as: -1.7667193389445424\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 82 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 83...\n",
      "  guessed extinction as: -2.751302346829983\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 83 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 84...\n",
      "  guessed extinction as: 2.374940033362412\n",
      "  FAILURE! posterior() has a value -0.21408767327839406 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 85...\n",
      "  guessed extinction as: -3.386013838601786\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 86...\n",
      "  guessed extinction as: 0.12983672484333145\n",
      "  Success! posterior() is finite, with a value 3.2745517625719263\n",
      "  star 86 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 87...\n",
      "  guessed extinction as: 3.366077200890495\n",
      "  FAILURE! posterior() has a value 1.0130267336626444 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 88...\n",
      "  guessed extinction as: 2.1008368816240437\n",
      "  Success! posterior() is finite, with a value 4.210039978877612\n",
      "  star 88 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 89...\n",
      "  guessed extinction as: 1.3027468750273692\n",
      "  FAILURE! posterior() has a value 1.9449390561008393 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 90...\n",
      "  guessed extinction as: 0.13591106042748055\n",
      "  Success! posterior() is finite, with a value 2.8812616183885194\n",
      "  star 90 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 91...\n",
      "  guessed extinction as: 1.7984122012315897\n",
      "  Success! posterior() is finite, with a value 3.0241880580198703\n",
      "  star 91 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 92...\n",
      "  guessed extinction as: 2.0377179668444563\n",
      "  FAILURE! posterior() has a value 2.4188235925968478 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 93...\n",
      "  guessed extinction as: -0.309829053159711\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 94...\n",
      "  guessed extinction as: -0.9946104752565259\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 95...\n",
      "  guessed extinction as: 5.031587288604123\n",
      "  Success! posterior() is finite, with a value 1.0939895667879047\n",
      "  star 95 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 96...\n",
      "  guessed extinction as: 4.149088625982988\n",
      "  FAILURE! posterior() has a value -1.9624145024171025 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 97...\n",
      "  guessed extinction as: 1.329251750230246\n",
      "  FAILURE! posterior() has a value 0.8605027621161945 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 98...\n",
      "  guessed extinction as: 1.1257376445456841\n",
      "  Success! posterior() is finite, with a value 3.1389606490353854\n",
      "  star 98 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 99...\n",
      "  guessed extinction as: 3.0026734048178363\n",
      "  Success! posterior() is finite, with a value 2.9953087108020213\n",
      "  star 99 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 100...\n",
      "  guessed extinction as: 2.355648733456575\n",
      "  FAILURE! posterior() has a value 1.7982858427664397 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 101...\n",
      "  guessed extinction as: 3.833176963479267\n",
      "  FAILURE! posterior() has a value 1.20149155056977 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 102...\n",
      "  guessed extinction as: 0.7474224666040015\n",
      "  Success! posterior() is finite, with a value 3.403623803989068\n",
      "  star 102 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 103...\n",
      "  guessed extinction as: -0.7509439310034662\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 103 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 104...\n",
      "  guessed extinction as: 1.6826874033369998\n",
      "  Success! posterior() is finite, with a value 3.4594681546673707\n",
      "  star 104 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 105...\n",
      "  guessed extinction as: 3.801129345438244\n",
      "  FAILURE! posterior() has a value -0.3444500225602476 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 106...\n",
      "  guessed extinction as: 7.940112741992518\n",
      "  FAILURE! posterior() has a value -8.773046605688423 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 107...\n",
      "  guessed extinction as: 0.2696772872966851\n",
      "  Success! posterior() is finite, with a value 4.056090510640365\n",
      "  star 107 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 108...\n",
      "  guessed extinction as: 4.124282615267697\n",
      "  FAILURE! posterior() has a value -3.48419156746668 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 109...\n",
      "  guessed extinction as: 0.9733615586221815\n",
      "  FAILURE! posterior() has a value 0.4031614436493953 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 110...\n",
      "  guessed extinction as: 7.0558575806410895\n",
      "  FAILURE! posterior() has a value -23.280197747010874 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 111...\n",
      "  guessed extinction as: -4.180912077198235\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 112...\n",
      "  guessed extinction as: 2.572582565991944\n",
      "  Success! posterior() is finite, with a value 3.87784955366463\n",
      "  star 112 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 113...\n",
      "  guessed extinction as: 8.762231759981166\n",
      "  Success! posterior() is finite, with a value -14.847206493752742\n",
      "  star 113 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 114...\n",
      "  guessed extinction as: 2.07773717122764\n",
      "  Success! posterior() is finite, with a value 3.2743311314487222\n",
      "  star 114 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 115...\n",
      "  guessed extinction as: 4.239811253485893\n",
      "  FAILURE! posterior() has a value -4.718167013335096 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 116...\n",
      "  guessed extinction as: 0.41135535431519304\n",
      "  Success! posterior() is finite, with a value 3.4228771316492157\n",
      "  star 116 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 117...\n",
      "  guessed extinction as: 2.5452341113801267\n",
      "  FAILURE! posterior() has a value 1.3501148034705768 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 118...\n",
      "  guessed extinction as: 1.4324626083265959\n",
      "  Success! posterior() is finite, with a value 2.6095551604099088\n",
      "  star 118 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 119...\n",
      "  guessed extinction as: 1.091057619732408\n",
      "  Success! posterior() is finite, with a value 2.684967838752163\n",
      "  star 119 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 120...\n",
      "  guessed extinction as: 0.31139389754158464\n",
      "  FAILURE! posterior() has a value -11.43989262458704 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 121...\n",
      "  guessed extinction as: -0.08065869276032402\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 121 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 122...\n",
      "  guessed extinction as: 2.333760886776119\n",
      "  Success! posterior() is finite, with a value 3.172892068389727\n",
      "  star 122 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 123...\n",
      "  guessed extinction as: 3.197645159843519\n",
      "  FAILURE! posterior() has a value -1.3190700291689739 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 124...\n",
      "  guessed extinction as: 2.37246638984621\n",
      "  Success! posterior() is finite, with a value 3.4082144817051585\n",
      "  star 124 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 125...\n",
      "  guessed extinction as: 2.7993112396041875\n",
      "  Success! posterior() is finite, with a value 3.517583969876749\n",
      "  star 125 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 126...\n",
      "  guessed extinction as: 5.228513644264589\n",
      "  Success! posterior() is finite, with a value -1.7155236682460013\n",
      "  star 126 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 127...\n",
      "  guessed extinction as: 4.709015965641279\n",
      "  FAILURE! posterior() has a value -0.1003967248898312 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 128...\n",
      "  guessed extinction as: 1.6723470221394638\n",
      "  FAILURE! posterior() has a value 1.260633998421449 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 129...\n",
      "  guessed extinction as: 7.598949431023929\n",
      "  FAILURE! posterior() has a value -16.86371472508857 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 130...\n",
      "  guessed extinction as: 1.1619897746875993\n",
      "  Success! posterior() is finite, with a value 3.6709418560501055\n",
      "  star 130 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 131...\n",
      "  guessed extinction as: -2.0304004034617393\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 131 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 132...\n",
      "  guessed extinction as: -0.2237830080133272\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 133...\n",
      "  guessed extinction as: 3.7868491532050776\n",
      "  Success! posterior() is finite, with a value -12.434118988755127\n",
      "  star 133 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 134...\n",
      "  guessed extinction as: 7.794970687001875\n",
      "  FAILURE! posterior() has a value -15.10504178659492 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 135...\n",
      "  guessed extinction as: 5.65840566947061\n",
      "  FAILURE! posterior() has a value -7.160218134937564 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 136...\n",
      "  guessed extinction as: 9.171149469133303\n",
      "  FAILURE! posterior() has a value -22.763392253125343 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 137...\n",
      "  guessed extinction as: 0.9240237104834874\n",
      "  FAILURE! posterior() has a value -6.239565684356497 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 138...\n",
      "  guessed extinction as: 1.7278492212795546\n",
      "  FAILURE! posterior() has a value 2.7967479877980335 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 139...\n",
      "  guessed extinction as: 4.850478381806294\n",
      "  FAILURE! posterior() has a value -5.592230379398645 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 140...\n",
      "  guessed extinction as: 6.387619495327609\n",
      "  FAILURE! posterior() has a value -5.676342421080697 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 141...\n",
      "  guessed extinction as: 1.8825412192562554\n",
      "  FAILURE! posterior() has a value 1.4376549868811397 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 142...\n",
      "  guessed extinction as: 4.099369406690069\n",
      "  FAILURE! posterior() has a value -2.8752459929093437 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 143...\n",
      "  guessed extinction as: -4.950381243791335\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 143 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 144...\n",
      "  guessed extinction as: -0.5431480586715604\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 144 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 145...\n",
      "  guessed extinction as: -0.5632396760009836\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 145 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 146...\n",
      "  guessed extinction as: 1.0478953803828641\n",
      "  FAILURE! posterior() has a value 3.4429706502188813 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 147...\n",
      "  guessed extinction as: -4.818553359524352\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 148...\n",
      "  guessed extinction as: -0.007934355524482802\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 148 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 149...\n",
      "  guessed extinction as: -0.04265191738395055\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 149 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 150...\n",
      "  guessed extinction as: 1.0801706252421193\n",
      "  Success! posterior() is finite, with a value 4.109652146369673\n",
      "  star 150 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 151...\n",
      "  guessed extinction as: 1.8508163392038126\n",
      "  FAILURE! posterior() has a value 2.4134402509588053 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 152...\n",
      "  guessed extinction as: -7.01747399571881\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 153...\n",
      "  guessed extinction as: -3.585610509704944\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 154...\n",
      "  guessed extinction as: 2.049094052132562\n",
      "  Success! posterior() is finite, with a value 3.7924242134695314\n",
      "  star 154 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 155...\n",
      "  guessed extinction as: 3.752900401040378\n",
      "  FAILURE! posterior() has a value -1.6776457714339514 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 156...\n",
      "  guessed extinction as: 2.9373399224343713\n",
      "  Success! posterior() is finite, with a value 3.131614887266232\n",
      "  star 156 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 157...\n",
      "  guessed extinction as: 8.307376560850075\n",
      "  FAILURE! posterior() has a value -12.721184389933951 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 158...\n",
      "  guessed extinction as: 0.9427248410107141\n",
      "  FAILURE! posterior() has a value 1.6323746814886775 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 159...\n",
      "  guessed extinction as: 0.34965786208021465\n",
      "  Success! posterior() is finite, with a value 4.150606217817302\n",
      "  star 159 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 160...\n",
      "  guessed extinction as: 8.295426536475857\n",
      "  FAILURE! posterior() has a value -22.667297547230643 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 161...\n",
      "  guessed extinction as: 1.161153702732425\n",
      "  Success! posterior() is finite, with a value 3.064651470182133\n",
      "  star 161 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 162...\n",
      "  guessed extinction as: -10.948144877748717\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 162 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 163...\n",
      "  guessed extinction as: 0.9520095166939903\n",
      "  Success! posterior() is finite, with a value 3.1658628437486858\n",
      "  star 163 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 164...\n",
      "  guessed extinction as: 0.23526394077229393\n",
      "  Success! posterior() is finite, with a value 3.267086261362379\n",
      "  star 164 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 165...\n",
      "  guessed extinction as: -0.36017133386395517\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 166...\n",
      "  guessed extinction as: 0.15538649973349022\n",
      "  Success! posterior() is finite, with a value 2.4320068457212605\n",
      "  star 166 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 167...\n",
      "  guessed extinction as: -5.127821895267338\n",
      "prior_extinction encountered infs in these return array values:\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 168...\n",
      "  guessed extinction as: 1.4167444806257194\n",
      "  Success! posterior() is finite, with a value 3.0020437035872884\n",
      "  star 168 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 169...\n",
      "  guessed extinction as: -0.5768925880868285\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 169 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 170...\n",
      "  guessed extinction as: 3.2795063203001247\n",
      "  Success! posterior() is finite, with a value 2.0081142059101236\n",
      "  star 170 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 171...\n",
      "  guessed extinction as: -0.2134433421693178\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 171 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 172...\n",
      "  guessed extinction as: -5.149384972784655\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 173...\n",
      "  guessed extinction as: -0.6097347389075326\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 174...\n",
      "  guessed extinction as: -0.04418664063040659\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 174 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 175...\n",
      "  guessed extinction as: -0.4135939411687609\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 176...\n",
      "  guessed extinction as: 2.9030433308527503\n",
      "  Success! posterior() is finite, with a value 2.1915852712218555\n",
      "  star 176 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 177...\n",
      "  guessed extinction as: 0.07056191849823179\n",
      "  Success! posterior() is finite, with a value 1.3769772344523248\n",
      "  star 177 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 178...\n",
      "  guessed extinction as: 1.0768531057493183\n",
      "  Success! posterior() is finite, with a value 4.318447974011793\n",
      "  star 178 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 179...\n",
      "  guessed extinction as: -0.7287672911506063\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 179 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 180...\n",
      "  guessed extinction as: -0.2534143227960836\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 181...\n",
      "  guessed extinction as: 1.6489358995740864\n",
      "  Success! posterior() is finite, with a value 2.409413316922567\n",
      "  star 181 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 182...\n",
      "  guessed extinction as: -1.0536519929285761\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 182 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 183...\n",
      "  guessed extinction as: -0.04197409408716896\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 183 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 184...\n",
      "  guessed extinction as: 2.050444273014606\n",
      "  FAILURE! posterior() has a value -2.7051836188627547 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 185...\n",
      "  guessed extinction as: 2.9061027284007954\n",
      "  Success! posterior() is finite, with a value 2.7398784065692743\n",
      "  star 185 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 186...\n",
      "  guessed extinction as: -2.0455545071990913\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 186 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 187...\n",
      "  guessed extinction as: 2.434007013146451\n",
      "  FAILURE! posterior() has a value 2.1906101778669402 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 188...\n",
      "  guessed extinction as: 0.42400065393941067\n",
      "  Success! posterior() is finite, with a value 3.4760694022267566\n",
      "  star 188 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 189...\n",
      "  guessed extinction as: 2.598272711602639\n",
      "  Success! posterior() is finite, with a value 3.059269528035939\n",
      "  star 189 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 190...\n",
      "  guessed extinction as: -0.8261451654922204\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 191...\n",
      "  guessed extinction as: -1.3533107845000147\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 191 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 192...\n",
      "  guessed extinction as: -0.16056769792167003\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 192 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 193...\n",
      "  guessed extinction as: -0.7348282418305605\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 193 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 194...\n",
      "  guessed extinction as: 5.372177159306906\n",
      "  FAILURE! posterior() has a value -3.154111578686466 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 195...\n",
      "  guessed extinction as: 1.0895533020488999\n",
      "  Success! posterior() is finite, with a value 3.8640954744526557\n",
      "  star 195 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 196...\n",
      "  guessed extinction as: 1.7630215130674434\n",
      "  Success! posterior() is finite, with a value 3.317625060481676\n",
      "  star 196 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 197...\n",
      "  guessed extinction as: -1.1176697843994399\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 197 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 198...\n",
      "  guessed extinction as: 0.9040471606369704\n",
      "  FAILURE! posterior() has a value 1.3049655315710336 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 199...\n",
      "  guessed extinction as: -6.107104759260614\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 199 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 200...\n",
      "  guessed extinction as: 0.5490595226052305\n",
      "  Success! posterior() is finite, with a value 2.86105617454543\n",
      "  star 200 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 201...\n",
      "  guessed extinction as: -3.31553817383406\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 201 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 202...\n",
      "  guessed extinction as: 0.43200014563111017\n",
      "  Success! posterior() is finite, with a value 4.250009432630618\n",
      "  star 202 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 203...\n",
      "  guessed extinction as: -0.36948005673961615\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 203 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 204...\n",
      "  guessed extinction as: 0.03948994218399853\n",
      "  Success! posterior() is finite, with a value 4.213571804238029\n",
      "  star 204 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 205...\n",
      "  guessed extinction as: 2.5088360120159545\n",
      "  Success! posterior() is finite, with a value 4.031346771972554\n",
      "  star 205 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 206...\n",
      "  guessed extinction as: 0.518485766885641\n",
      "  FAILURE! posterior() has a value 2.8742337823515207 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 207...\n",
      "  guessed extinction as: -0.13793281136800614\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 208...\n",
      "  guessed extinction as: -0.590594489600178\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 208 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 209...\n",
      "  guessed extinction as: -0.31718362426420266\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 209 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 210...\n",
      "  guessed extinction as: -0.9359161156083083\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 210 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 211...\n",
      "  guessed extinction as: 0.48810666748675136\n",
      "  Success! posterior() is finite, with a value 4.273830957487422\n",
      "  star 211 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 212...\n",
      "  guessed extinction as: -0.7560561541994998\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 212 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 213...\n",
      "  guessed extinction as: 0.25383978703507143\n",
      "  FAILURE! posterior() has a value 3.2223491654272056 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 214...\n",
      "  guessed extinction as: -9.009816452802466\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 215...\n",
      "  guessed extinction as: -1.2042343175126942\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 215 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 216...\n",
      "  guessed extinction as: 1.1862533243366955\n",
      "  Success! posterior() is finite, with a value 4.369629893444916\n",
      "  star 216 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 217...\n",
      "  guessed extinction as: 0.5612741851649407\n",
      "  Success! posterior() is finite, with a value 3.8889930476046928\n",
      "  star 217 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 218...\n",
      "  guessed extinction as: -1.0237899423331578\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value -inf but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 219...\n",
      "  guessed extinction as: -1.0561978581585814\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 219 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 220...\n",
      "  guessed extinction as: 0.7230388689044384\n",
      "  Success! posterior() is finite, with a value 4.136683067539439\n",
      "  star 220 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 221...\n",
      "  guessed extinction as: 6.925757890411863\n",
      "  Success! posterior() is finite, with a value -13.553892456202124\n",
      "  star 221 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 222...\n",
      "  guessed extinction as: 3.4458871895217835\n",
      "  Success! posterior() is finite, with a value 3.227435588813223\n",
      "  star 222 will appear in the starting guess. Yay :3\n",
      "\n",
      "Trying to find extinction for star 223...\n",
      "  guessed extinction as: -0.14464401163737461\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 223 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 224...\n",
      "  guessed extinction as: -0.6626042085834621\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 224 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 225...\n",
      "  guessed extinction as: 1.8829561351207227\n",
      "  FAILURE! posterior() has a value 1.977438894176391 but we have failed for\n",
      "  some other unspecified reason.\n",
      "Trying to find extinction for star 226...\n",
      "  guessed extinction as: -3.8754616034771336\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 226 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 227...\n",
      "  guessed extinction as: -1.6772978585110347\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 227 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 228...\n",
      "  guessed extinction as: -1.0219338830265925\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 228 will not appear in the starting guess.\n",
      "\n",
      "Trying to find extinction for star 229...\n",
      "  guessed extinction as: -3.3241190410395673\n",
      "prior_extinction encountered infs in these return array values:\n",
      "[0]\n",
      "  FAILURE! posterior() has a value of -inf\n",
      "~~star 229 will not appear in the starting guess.\n",
      "\n",
      "All done! There were 70 good stars and 160 bad ones.\n"
     ]
    }
   ],
   "source": [
    "# Make some long 1D arrays to keep the good shit in for the time being\n",
    "good_omegas = np.array([])\n",
    "good_extinctions = np.array([])\n",
    "\n",
    "# Keep a record of stars that get past THE FINAL CHALLENGE dun dun dunnnnn!nn!!\n",
    "good_stars = np.array([])\n",
    "bad_stars = np.array([])\n",
    "\n",
    "# Add extra values to hacked_guess so that we can write a test parallax and\n",
    "# extinctions here\n",
    "hacked_guess_2 = np.append(hacked_guess, np.zeros(N_bands + 1))\n",
    "\n",
    "# Cheeky short hand\n",
    "V_band_N = data_emcee['V_band_number']\n",
    "\n",
    "# Cycle over our good parallax guesses to make good extinction guesses,\n",
    "# and add these to starting_guess\n",
    "for a_star, an_omega in zip(omega_success_maximised, omega_maximised):\n",
    "    print(\"Trying to find extinction for star {}...\".format(a_star))\n",
    "    \n",
    "    # Evaluate the Leavitt Law for extinction, with or without FeH\n",
    "    extinction_guess = ((\n",
    "        data_emcee['m_exp'][:, a_star] \n",
    "        - starting_guess[ranges['a']] \n",
    "        * data_emcee['logP_exp'][a_star]\n",
    "        - starting_guess[ranges['c']] \n",
    "        + 5 * np.log10(an_omega) \n",
    "        - 10) \n",
    "        / (data_emcee['precalculated_a_i']\n",
    "        + data_emcee['precalculated_b_i'] \n",
    "        / guess_Rv))\n",
    "    \n",
    "    # Only add metallicities on if required, and find the mean Av extinction\n",
    "    # value implied for all photometric bands:\n",
    "    if use_metallicities:\n",
    "        extinction_guess = np.mean(extinction_guess \n",
    "                                   - starting_guess[ranges['b']] \n",
    "                                   * data_emcee['FeH_exp'][a_star])\n",
    "    else:\n",
    "        extinction_guess = np.mean(extinction_guess)\n",
    "    \n",
    "    # Set any -ve guesses to 0\n",
    "    #if extinction_guess < 0.0:\n",
    "    #    extinction_guess = 0.0\n",
    "    \n",
    "    # Make a hacked_data containing only star data on DIS STAR\n",
    "    hacked_data['omega_exp'] = data_emcee['omega_exp'][a_star]\n",
    "    hacked_data['omega_sigma'] = data_emcee['omega_sigma'][a_star]\n",
    "    hacked_data['FeH_exp'] = data_emcee['FeH_exp'][a_star]\n",
    "    hacked_data['FeH_sigma'] = data_emcee['FeH_sigma'][a_star]\n",
    "    hacked_data['logP_exp'] = data_emcee['logP_exp'][a_star]\n",
    "    hacked_data['logP_sigma'] = data_emcee['logP_sigma'][a_star]\n",
    "    hacked_data['m_exp'] = data_emcee['m_exp'][:, a_star].reshape(N_bands, 1)\n",
    "    hacked_data['m_sigma'] = data_emcee['m_sigma'][:, a_star].reshape(N_bands, 1)\n",
    "    \n",
    "    # Also hack the guess to only contain data on DIS STAR\n",
    "    hacked_guess_2[hacked_ranges['omega']] = an_omega\n",
    "    hacked_guess_2[hacked_ranges['A']] = extinction_guess\n",
    "    \n",
    "    # Set the parallax prior repo to only contain one star\n",
    "    parallax_prior_repo.prep_for_fast_running([data_emcee['ID'][a_star]])\n",
    "    \n",
    "    print(\"  guessed extinction as: {}\".format(extinction_guess))\n",
    "    \n",
    "    # Evaluate the posterior for this extinction alone\n",
    "    how_shit_is_this_guess = posterior(hacked_guess_2, hacked_ranges, \n",
    "                                       hacked_data, \n",
    "                                       parallax_prior_repo, debug=True)\n",
    "    \n",
    "    if hacked_data['omega_sigma'] / hacked_data['omega_exp'] < 0.1:\n",
    "        arbitrary_fail_condition = False\n",
    "    else:\n",
    "        arbitrary_fail_condition = True\n",
    "    \n",
    "    # Tell the user if batdog can't bork rn\n",
    "    if arbitrary_fail_condition:\n",
    "        print(\"  FAILURE! posterior() has a value {} but we have failed for\"\n",
    "              .format(how_shit_is_this_guess))\n",
    "        print(\"  some other unspecified reason.\")\n",
    "    \n",
    "    \n",
    "    elif np.isfinite(how_shit_is_this_guess):\n",
    "        print(\"  Success! posterior() is finite, with a value {}\"\n",
    "              .format(how_shit_is_this_guess))\n",
    "        print(\"  star {} will appear in the starting guess. Yay :3\\n\".format(a_star))\n",
    "        \n",
    "        # Jot down all the details of this spiffingly successful star\n",
    "        good_omegas = np.append(good_omegas, an_omega)\n",
    "        good_extinctions = np.append(good_extinctions, extinction_guess)\n",
    "        good_stars = np.append(good_stars, a_star)\n",
    "        \n",
    "    else:\n",
    "        print(\"  FAILURE! posterior() has a value of {}\"\n",
    "              .format(how_shit_is_this_guess))\n",
    "        print(\"~~star {} will not appear in the starting guess.\\n\".format(a_star))\n",
    "        \n",
    "        # There are only good stars, and bad stars. ABSOLUTELY NO IN-BETWEEN\n",
    "        bad_stars = np.append(bad_stars, a_star)\n",
    "\n",
    "# Tell the user about how everything went\n",
    "N_good = len(good_stars)\n",
    "print(\"All done! There were {} good stars and {} bad ones.\"\n",
    "      .format(N_good, N_stars-N_good))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Store the guesses"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lastly, some code to store these results properly. Only run this when you're done with the above, as it modifies some things (such as data_emcee) in-place, so you'd have to go back to 4.2 again to re-make it if you wanted to go back on anything."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Sets a maximum number of stars for us to use\n",
    "stars_to_use = 250\n",
    "\n",
    "if stars_to_use < N_good:\n",
    "    N_good = stars_to_use\n",
    "else:\n",
    "    stars_to_use = N_good\n",
    "\n",
    "# Add all the good shit to a final guess\n",
    "starting_guess = np.append(starting_guess, good_omegas[:stars_to_use])\n",
    "starting_guess = np.append(starting_guess, good_extinctions[:stars_to_use])\n",
    "\n",
    "# Work out which original stars aren't in the final set\n",
    "good_stars = good_stars[:stars_to_use]\n",
    "stars_to_remove = np.where(np.isin(np.arange(N_stars), good_stars) == False)[0]\n",
    "\n",
    "# Remove the bad ones from data_emcee\n",
    "keys = list(data_emcee.keys())\n",
    "keys.remove('m_exp')\n",
    "keys.remove('m_sigma')\n",
    "keys.remove('N_stars')\n",
    "keys.remove('N_bands')\n",
    "keys.remove('V_band_number')\n",
    "keys.remove('precalculated_a_i')\n",
    "keys.remove('precalculated_b_i')\n",
    "keys.remove('Rv')\n",
    "if N_binaries > 0:\n",
    "    keys.remove('N_binaries')\n",
    "\n",
    "for a_key in keys:\n",
    "    data_emcee[a_key] = np.delete(data_emcee[a_key], stars_to_remove)\n",
    "\n",
    "# We handle magnitudes separately as these are 2D arrays of N_bands x N_stars\n",
    "data_emcee['m_exp'] = np.delete(data_emcee['m_exp'], stars_to_remove, axis=1)\n",
    "data_emcee['m_sigma'] = np.delete(data_emcee['m_sigma'], stars_to_remove, \n",
    "                                  axis=1)\n",
    "\n",
    "# Set N to a new value based on how many guesses we have\n",
    "data_emcee['N_stars'] = N_good\n",
    "\n",
    "# Make a fresh ranges dictionary based on how many good stars there are\n",
    "ranges = create_new_ranges_dict(N_good, N_binaries, N_bands)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Export the starting guesses into a (checked) set of *dimensions* guesses\n",
    "Idiot check that posterior() is finite"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-270.0450919054906"
      ]
     },
     "execution_count": 116,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "posterior(starting_guess, ranges, data_emcee, parallax_prior_repo, debug=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define acceptable ranges on parameters, as standard deviations of normal distributions. These should roughly be the same as the final standard deviations, as this means all the walkers start in good positions and don't have to spend time moving inwards towards/outwards from the MAP value."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "guess_stdd_omega_0 = 0.001  # 1 micro as\n",
    "guess_stdd_L = 0.1\n",
    "guess_stdd_Rv = 0.01\n",
    "guess_stdd_a = 0.001\n",
    "guess_stdd_b = 0.001\n",
    "guess_stdd_c = 0.001\n",
    "guess_stdd_s = 0.001\n",
    "guess_stdd_omega_B = 0.001\n",
    "guess_stdd_omega = 0.001\n",
    "guess_stdd_A = [0.5]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create *walkers* guesses, looping over each until we get one that isn't infinitely unlikely, and then moving onto the next. This is necessary because some starting guesses (e.g. for extinction) may be 0. It is easy (without implementing as-you-go priors checking) to guess a negative extinction (which isn't allowed by priors, and causes the program to die.) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Heya! Please give me a moment to create 1510 guesses.\n",
      "All done! =)                                             "
     ]
    }
   ],
   "source": [
    "# Some parameters for the MCMC simulation\n",
    "dimensions = starting_guess.size\n",
    "walkers = 10 * dimensions\n",
    "\n",
    "# Extend the starting guess to our number of walkers' dimensions\n",
    "starting_guesses = np.zeros((walkers, dimensions))\n",
    "current_walker = 0\n",
    "sys.stdout.write(\"Heya! Please give me a moment to create {} guesses.\\n\"\n",
    "                 .format(walkers))\n",
    "sys.stdout.write(\"\\rAttempting to make a guess for walker {}...\"\n",
    "                     .format(current_walker))\n",
    "sys.stdout.flush()\n",
    "\n",
    "# Loop over all the walkers\n",
    "count = 0\n",
    "while current_walker < walkers:   \n",
    "    # Cycle over all parameters, making guesses for them, and also applying\n",
    "    # np.abs() to any ones that should always be positive, like A and omega\n",
    "    current_guess = starting_guess.copy()\n",
    "    current_guess[ranges['omega_0']] += np.random.normal(loc=0.0, \n",
    "                                scale=guess_stdd_omega_0)\n",
    "    current_guess[ranges['L']] += np.random.normal(loc=0.0, \n",
    "                                scale=guess_stdd_L)\n",
    "    current_guess[ranges['Rv']] += np.random.normal(loc=0.0, \n",
    "                                scale=guess_stdd_Rv, size=int(infer_for_Rv))\n",
    "    current_guess[ranges['a']] += np.random.normal(loc=0.0, \n",
    "                                scale=guess_stdd_a, size=N_bands)\n",
    "    current_guess[ranges['b']] += np.random.normal(loc=0.0, \n",
    "                                scale=guess_stdd_b, size=N_bands \n",
    "                                                   * use_metallicities)\n",
    "    current_guess[ranges['c']] += np.random.normal(loc=0.0, \n",
    "                                scale=guess_stdd_c, size=N_bands)\n",
    "    current_guess[ranges['s']] += np.random.normal(loc=0.0, \n",
    "                                scale=guess_stdd_s, size=N_bands)\n",
    "    current_guess[ranges['omega_B']] += np.abs(np.random.normal(loc=0.0, \n",
    "                                scale=guess_stdd_omega_B, size=N_binaries))\n",
    "    current_guess[ranges['omega']] += np.abs(np.random.normal(loc=0.0, \n",
    "                                scale=guess_stdd_omega, size=N_good))\n",
    "    current_guess[ranges['A']] += np.abs(np.random.normal(loc=0.0, \n",
    "                                scale=guess_stdd_omega, size=N_good))\n",
    "    \n",
    "    # Test to see if this guess is acceptable or not\n",
    "    how_shit_is_this_guess = posterior(current_guess, ranges, data_emcee, \n",
    "                             parallax_prior_repo, debug=False)\n",
    "    if np.isfinite(how_shit_is_this_guess):\n",
    "        starting_guesses[current_walker] = current_guess\n",
    "        current_walker += 1\n",
    "        sys.stdout.write(\"\\rAttempting to make a guess for walker {} of {}...\"\n",
    "                     .format(current_walker, walkers))\n",
    "        sys.stdout.flush()\n",
    "        \n",
    "sys.stdout.write(\"\\rAll done! =)                                             \")\n",
    "sys.stdout.flush()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Running of emcee\n",
    "------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The game is on! It's time to run emcee and see what results we can get."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define an emcee running function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def calc_local_time(input_time):\n",
    "        \"\"\"Convenience function to convert to a pretty time string.\"\"\"\n",
    "        return time.strftime('%c', time.localtime(input_time))\n",
    "\n",
    "def run_emcee_for_me(sampler, steps=100, reset=True, guess=0, \n",
    "                     end_time=1, reporting_time=1, \n",
    "                     memory_fraction_to_use=0.25, \n",
    "                     plot_chains_on_refresh=True,\n",
    "                     walkers_to_plot=1000):\n",
    "    \"\"\"Auto-runs emcee, giving an update on each step done and \n",
    "    estimating runtime.\n",
    "    \"\"\"    \n",
    "    # See if we need to start from a guess\n",
    "    if type(guess) is int:\n",
    "        # Set to last sampler position\n",
    "        last_pos = sampler.chain[:, -1, :].copy()\n",
    "    else:\n",
    "        # Set to the guess\n",
    "        last_pos = guess\n",
    "        \n",
    "    # Wipe the sampler's memory if required\n",
    "    if reset == True:\n",
    "        sampler.reset()\n",
    "        \n",
    "    if memory_fraction_to_use != 0.25:\n",
    "        print('WARNING: you have changed internal value memory_fraction_to_use.') \n",
    "        print('This can cause program instability. If you\\'ve set it at larger')\n",
    "        print('than 1, then you\\'re a total numpty of course.')\n",
    "        \n",
    "    # Here, we work out how big we can make the chain. These values loosely \n",
    "    # limit its size to about a quarter of the system's total memory (4GB of \n",
    "    # 15.5GB on the initial computer.) You can potentially use upto half of\n",
    "    # system memory and remain stable, but the program begins to get\n",
    "    # increasingly slower. By more than half, the program gets extremely slow - \n",
    "    # presumably because on making array copies every time emcee \n",
    "    # re-initialises, Python has to do hopscotch around your RAM as it\n",
    "    # physically can't use enough to copy in one go. At this point... computer\n",
    "    # death occurs. It's quite sad to watch. *flames ensue*\n",
    "    mem = virtual_memory().total / (1024**3)  # System memory in GB\n",
    "    max_chain_at_15_GB = 500  # Empirical numbers set by me\n",
    "    max_walkers_at_15_GB = 2084\n",
    "    max_dims_at_15_GB = 521\n",
    "    max_chain_length = int((max_chain_at_15_GB * mem / 15.557605743408203\n",
    "                            * max_walkers_at_15_GB / walkers \n",
    "                            * max_dims_at_15_GB / dimensions\n",
    "                            * 4*memory_fraction_to_use))\n",
    "    \n",
    "    # Work out how many steps of steps we'll need to make\n",
    "    # (yes, I did just say steps of steps, don't judge)\n",
    "    # Basically, if the user requested more steps than the max chain length,\n",
    "    # then we'll have to dump it a few times to avoid running out of system\n",
    "    # memory.\n",
    "    required_chain_refreshes = int(np.ceil(steps / max_chain_length))\n",
    "    \n",
    "    # Cycle backwards through an array that will say how many steps to take\n",
    "    # on each refresh cycle\n",
    "    each_step_limit = np.zeros(required_chain_refreshes, dtype=np.int64)\n",
    "    for i in np.arange(1, required_chain_refreshes + 1):\n",
    "        remaining_steps = int(steps - np.sum(each_step_limit))\n",
    "        if remaining_steps > max_chain_length:\n",
    "            each_step_limit[-i] = max_chain_length\n",
    "        else:\n",
    "            each_step_limit[-i] = remaining_steps\n",
    "    \n",
    "    # A quick check that we worked that out right (if it didn't, stop)\n",
    "    if np.sum(each_step_limit) != steps:\n",
    "        print(\"ERROR: desired step count has not been correctly calculted.\")\n",
    "        return 0\n",
    "    \n",
    "    # Get the time right now, and the max time we can go until (in seconds, for\n",
    "    # user input which is in hours)\n",
    "    start_time = time.time()\n",
    "    end_time = time.time() + end_time * 60**2\n",
    "    \n",
    "    # A bit of start output\n",
    "    print(\"--- BATDOG is running! I will aim to complete {} steps. ---\\n\"\n",
    "          .format(steps))\n",
    "    print(\"    I have selected an empirical chain length limit of {}\"\n",
    "          .format(max_chain_length))\n",
    "    print(\"    based on your system specifications. You can tell me\")\n",
    "    print(\"    that I'm a good dog later =)\")\n",
    "    print(\"\\n--Start time is {}\".format(calc_local_time(start_time)))\n",
    "    print(\"--Cutoff time is {}\".format(calc_local_time(end_time)))\n",
    "    \n",
    "    # Run a few first steps to work out individual step time\n",
    "    step_time = time.time()\n",
    "    last_pos, last_prob, last_state = sampler.run_mcmc(last_pos, 10)\n",
    "    step_time = (time.time() - step_time) / 10\n",
    "    steps_done = 10\n",
    "    each_step_limit[0] -= 10\n",
    "    eta_time = (steps - steps_done) * step_time + time.time()\n",
    "    print(\"\\n--I just did 10 test steps. Steptime is {:.2f}s\".format(step_time))\n",
    "    print(\"--Initial ETA to finish is {}\".format(calc_local_time(eta_time)))\n",
    "    \n",
    "    # Actually run the code for a while and see how it goes\n",
    "    for steps_until_refresh in each_step_limit:\n",
    "        \n",
    "        steps_of_current_refresh = 0\n",
    "        while steps_of_current_refresh < steps_until_refresh:\n",
    "            # Work out how many steps we can do before our next check-in\n",
    "            next_steps = int(np.floor(60 * reporting_time / step_time))\n",
    "            \n",
    "            # Set next_steps to 1 if reporting_time is very small\n",
    "            if next_steps < 1:\n",
    "                next_steps = 1\n",
    "            \n",
    "            # Make next_steps smaller if we're almost done\n",
    "            steps_left = steps_until_refresh - steps_of_current_refresh\n",
    "            if next_steps > steps_left:\n",
    "                next_steps = steps_left\n",
    "          \n",
    "            # Run and time emcee for next_steps steps\n",
    "            step_time = time.time()\n",
    "            last_pos, last_prob, last_state = sampler.run_mcmc(last_pos, \n",
    "                                                               next_steps)\n",
    "            step_time = (time.time() - step_time) / next_steps\n",
    "                            \n",
    "            # Increment total step counters\n",
    "            steps_of_current_refresh += next_steps\n",
    "            steps_done += next_steps\n",
    "            eta_time = (steps - steps_done) * step_time + time.time()\n",
    "            \n",
    "            # Tell the user about how we're doing\n",
    "            print(\"\\n--The current time is {}\"\n",
    "                  .format(calc_local_time(time.time())))\n",
    "            print(\"  steps done = {}\".format(steps_done))\n",
    "            print(\"  steps 2ref = {}\"\n",
    "                  .format(steps_until_refresh - steps_of_current_refresh))\n",
    "            print(\"  steps left = {}\".format(steps - steps_done))\n",
    "            print(\"   step time = {:.2f}s\".format(step_time))\n",
    "            print(\"  mean accpt = {:.4f}\"\n",
    "                  .format(sampler.acceptance_fraction.mean()))\n",
    "            print(\"         ETA = {}\".format(calc_local_time(eta_time)))\n",
    "            \n",
    "        # Quit if we've done enough steps or if we've gone on for too long\n",
    "        if steps_done >= steps or time.time() > end_time:\n",
    "            print(\"\\nDone {} of {} steps. Quitting now...\".format(steps_done, \n",
    "                                                                  steps))\n",
    "            print(\"Exit time is {}\".format(calc_local_time(time.time())))\n",
    "            break\n",
    "        \n",
    "        # Reset sampler to save memory, and plot chains so far if desired\n",
    "        else:\n",
    "            print(\"\\n--Resetting sampler to save memory...\")\n",
    "            if plot_chains_on_refresh:\n",
    "                print(\"  chains so far (star 0, binary 0, band 0):\")\n",
    "                plot_chains(sampler, ranges, data_emcee, \n",
    "                            step_0=steps_done - steps_of_current_refresh)\n",
    "            sampler.reset()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define plotting functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {
    "code_folding": [],
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def get_values_for_plotting(ranges, star, binary_star, band):\n",
    "    \"\"\"Convenience function for plotting functions that returns relevant emcee\n",
    "    parameter numbers.\n",
    "    \"\"\"    \n",
    "    # Work out what the parameter vector ID of the star is (it may be a bit \n",
    "    # less than expected if we had some failures)\n",
    "    try:\n",
    "        star_new_number = int(np.where(data_emcee['ID'] == star)[0])\n",
    "    except TypeError:\n",
    "        star_new_number = int(data_emcee['ID'][0])\n",
    "        print('Selected star to plot was rejected from final model!')\n",
    "        print('Plotting star {} instead.'.format(star_new_number))\n",
    "    \n",
    "    # Get the names of all the parameters we're bothered about\n",
    "    names = list(ranges.keys())\n",
    "    \n",
    "    # Look for the arg of the band that matches *band*. Or, set band_number to \n",
    "    # 0 if no band was specified.\n",
    "    if len(band) > 0:\n",
    "        band_number = band_names.index(band)\n",
    "    else:\n",
    "        band_number = 0\n",
    "        \n",
    "    # Gets the requisite parameter numbers for a given star, correcting for\n",
    "    # guess failures removing stars from the emcee model as required\n",
    "    values = [ranges['omega_0'], \n",
    "              ranges['L']]\n",
    "    \n",
    "    # Only add Rv if it's a parameter in the model\n",
    "    if infer_for_Rv:\n",
    "        values.append(ranges['Rv'])\n",
    "    else:\n",
    "        names.remove('Rv')\n",
    "    \n",
    "    # a\n",
    "    values.append(ranges['a'][band_number])\n",
    "    \n",
    "    # Only add b if we're using metallicities\n",
    "    if use_metallicities:\n",
    "        values.append(ranges['b'][band_number])\n",
    "    else:\n",
    "        names.remove('b')\n",
    "    \n",
    "    # c and s\n",
    "    values.append(ranges['c'][band_number])\n",
    "    values.append(ranges['s'][band_number])\n",
    "    \n",
    "    # Only add binary stars if there are actually any in the model\n",
    "    if N_binaries > 0:\n",
    "        values.append(ranges['omega_B'][binary_star])\n",
    "    else:\n",
    "        names.remove('omega_B')\n",
    "        \n",
    "    # Parallax\n",
    "    values.append(ranges['omega'][star_new_number]) \n",
    "    \n",
    "    # Extinction\n",
    "    values.append(ranges['A'][star_new_number])\n",
    "    \n",
    "    return [names, values, band_number]\n",
    "\n",
    "\n",
    "def plot_chains(sampler, ranges, data_emcee, star=0, binary_star=0, band='', \n",
    "                start=False, step_0=0, walkers_to_plot=1000):\n",
    "    \"\"\"Plots the current stored chain output for a given star.\"\"\"\n",
    "    # Get some important deets from our convenience functions\n",
    "    names, values, band_number = get_values_for_plotting(ranges, star, \n",
    "                                                         binary_star, band)\n",
    "    \n",
    "    # Check if the user specified a start point to plot from\n",
    "    if start != False:\n",
    "        s = start\n",
    "    else:\n",
    "        s = 0\n",
    "        \n",
    "    # Set the xranges up so that we start plotting from step_0 onwards. Useful\n",
    "    # for plotting on the same figure instance after a sampler reset.\n",
    "    xrange = np.arange(step_0, step_0 + sampler.chain[0, :, 0].size)\n",
    "    \n",
    "    # Define a number of figures corresponding to params\n",
    "    fig, ax = plt.subplots(len(names) + 1, figsize=(8, 12), sharex=True)\n",
    "\n",
    "    # Plots likelihood\n",
    "    ax[0].plot(xrange, sampler.lnprobability.T[:, :walkers_to_plot], \n",
    "               '-r', alpha=0.2)\n",
    "    ax[0].set_ylabel('lnprob')\n",
    "\n",
    "    # Plots parameter evolution\n",
    "    j=0  # Parameter to try\n",
    "    for i in values:\n",
    "        ax[j+1].plot(xrange, sampler.chain[:walkers_to_plot, s:, values[j]].T, \n",
    "                     '-k', alpha=0.2);\n",
    "        ax[j+1].set_ylabel(names[j])\n",
    "        j += 1\n",
    "    \n",
    "    plt.show()\n",
    "        \n",
    "    \n",
    "def plot_corner(sampler, ranges, data_emcee, star=0, binary_star=0, band=''):\n",
    "    \"\"\"Makes a corner plot using corner.py.\"\"\"\n",
    "    # Get some important deets from our convenience functions\n",
    "    names, values, band_number = get_values_for_plotting(ranges, star, \n",
    "                                                         binary_star, band)\n",
    "        \n",
    "    # Attempt to set truths on the plot if any have been set\n",
    "    try:\n",
    "        my_truths = np.array([omega_0_true, \n",
    "                              scale_true, \n",
    "                              a_true[band_number],\n",
    "                              b_true[band_number],\n",
    "                              c_true[band_number],\n",
    "                              s_true[band_number],\n",
    "                              data['omega_true'][star],\n",
    "                              data['P_true'][star], \n",
    "                              data['A_true_' + band][star]])\n",
    "        # Only add a truth value for binary stars if there actually are any\n",
    "        if N_binaries > 0:\n",
    "            my_truths = np.insert(my_truths, 5, \n",
    "                                  binaries['omega_true'][binary_star])\n",
    "            \n",
    "    except NameError:\n",
    "        print('One or more truth values weren\\'t found. Not plotting any!')\n",
    "        print('Sorry =(')\n",
    "        my_truths = None\n",
    "    \n",
    "    # Make a corner plot\n",
    "    corner.corner(sampler.flatchain[:, values], \n",
    "                  labels=names, \n",
    "                  truths=my_truths,\n",
    "                  quantiles=[0.16, 0.5, 0.84],\n",
    "                  show_titles=True,\n",
    "                  title_fmt='.4f',\n",
    "                  title_kwargs={'fontsize':12},\n",
    "                  scale_hist=True)\n",
    "    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Initialise emcee and try a few first steps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "metadata": {
    "code_folding": [],
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--- BATDOG is running! I will aim to complete 20 steps. ---\n",
      "\n",
      "    I have selected an empirical chain length limit of 2380\n",
      "    based on your system specifications. You can tell me\n",
      "    that I'm a good dog later =)\n",
      "\n",
      "--Start time is Fri Aug 17 16:12:21 2018\n",
      "--Cutoff time is Fri Aug 17 17:12:21 2018\n",
      "\n",
      "--I just did 10 test steps. Steptime is 0.53s\n",
      "--Initial ETA to finish is Fri Aug 17 16:12:32 2018\n",
      "\n",
      "--The current time is Fri Aug 17 16:12:32 2018\n",
      "  steps done = 20\n",
      "  steps 2ref = 0\n",
      "  steps left = 0\n",
      "   step time = 0.55s\n",
      "  mean accpt = 0.0887\n",
      "         ETA = Fri Aug 17 16:12:32 2018\n",
      "\n",
      "Done 20 of 20 steps. Quitting now...\n",
      "Exit time is Fri Aug 17 16:12:32 2018\n",
      "CPU times: user 568 ms, sys: 64 ms, total: 632 ms\n",
      "Wall time: 10.8 s\n"
     ]
    }
   ],
   "source": [
    "# Define the sampler\n",
    "sampler = emcee.EnsembleSampler(walkers, dimensions, posterior, \n",
    "                                args=(ranges, data_emcee, parallax_prior_repo), \n",
    "                                kwargs={'debug':False}, \n",
    "                                threads=number_of_cores,\n",
    "                                live_dangerously=True)\n",
    "\n",
    "# Set random state for repeatability (and also good luck, because 42)\n",
    "sampler.random_state = 42\n",
    "\n",
    "%time run_emcee_for_me(sampler, steps=20, guess=starting_guesses.copy())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Run emcee *for reals* and check output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--- BATDOG is running! I will aim to complete 2380 steps. ---\n",
      "\n",
      "    I have selected an empirical chain length limit of 2380\n",
      "    based on your system specifications. You can tell me\n",
      "    that I'm a good dog later =)\n",
      "\n",
      "--Start time is Fri Aug 17 17:02:25 2018\n",
      "--Cutoff time is Fri Aug 17 18:02:25 2018\n",
      "\n",
      "--I just did 10 test steps. Steptime is 0.57s\n",
      "--Initial ETA to finish is Fri Aug 17 17:25:01 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:03:22 2018\n",
      "  steps done = 115\n",
      "  steps 2ref = 2265\n",
      "  steps left = 2265\n",
      "   step time = 0.49s\n",
      "  mean accpt = 0.0942\n",
      "         ETA = Fri Aug 17 17:21:52 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:04:22 2018\n",
      "  steps done = 237\n",
      "  steps 2ref = 2143\n",
      "  steps left = 2143\n",
      "   step time = 0.49s\n",
      "  mean accpt = 0.0942\n",
      "         ETA = Fri Aug 17 17:21:58 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:05:24 2018\n",
      "  steps done = 358\n",
      "  steps 2ref = 2022\n",
      "  steps left = 2022\n",
      "   step time = 0.51s\n",
      "  mean accpt = 0.0941\n",
      "         ETA = Fri Aug 17 17:22:27 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:06:24 2018\n",
      "  steps done = 476\n",
      "  steps 2ref = 1904\n",
      "  steps left = 1904\n",
      "   step time = 0.51s\n",
      "  mean accpt = 0.0944\n",
      "         ETA = Fri Aug 17 17:22:40 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:07:27 2018\n",
      "  steps done = 593\n",
      "  steps 2ref = 1787\n",
      "  steps left = 1787\n",
      "   step time = 0.54s\n",
      "  mean accpt = 0.0943\n",
      "         ETA = Fri Aug 17 17:23:33 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:08:28 2018\n",
      "  steps done = 703\n",
      "  steps 2ref = 1677\n",
      "  steps left = 1677\n",
      "   step time = 0.55s\n",
      "  mean accpt = 0.0944\n",
      "         ETA = Fri Aug 17 17:23:47 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:09:26 2018\n",
      "  steps done = 812\n",
      "  steps 2ref = 1568\n",
      "  steps left = 1568\n",
      "   step time = 0.53s\n",
      "  mean accpt = 0.0944\n",
      "         ETA = Fri Aug 17 17:23:19 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:10:26 2018\n",
      "  steps done = 924\n",
      "  steps 2ref = 1456\n",
      "  steps left = 1456\n",
      "   step time = 0.54s\n",
      "  mean accpt = 0.0945\n",
      "         ETA = Fri Aug 17 17:23:30 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:11:25 2018\n",
      "  steps done = 1035\n",
      "  steps 2ref = 1345\n",
      "  steps left = 1345\n",
      "   step time = 0.53s\n",
      "  mean accpt = 0.0946\n",
      "         ETA = Fri Aug 17 17:23:16 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:12:26 2018\n",
      "  steps done = 1148\n",
      "  steps 2ref = 1232\n",
      "  steps left = 1232\n",
      "   step time = 0.54s\n",
      "  mean accpt = 0.0947\n",
      "         ETA = Fri Aug 17 17:23:30 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:13:26 2018\n",
      "  steps done = 1259\n",
      "  steps 2ref = 1121\n",
      "  steps left = 1121\n",
      "   step time = 0.54s\n",
      "  mean accpt = 0.0947\n",
      "         ETA = Fri Aug 17 17:23:35 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:14:24 2018\n",
      "  steps done = 1369\n",
      "  steps 2ref = 1011\n",
      "  steps left = 1011\n",
      "   step time = 0.53s\n",
      "  mean accpt = 0.0949\n",
      "         ETA = Fri Aug 17 17:23:15 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:15:26 2018\n",
      "  steps done = 1483\n",
      "  steps 2ref = 897\n",
      "  steps left = 897\n",
      "   step time = 0.54s\n",
      "  mean accpt = 0.0949\n",
      "         ETA = Fri Aug 17 17:23:34 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:16:24 2018\n",
      "  steps done = 1593\n",
      "  steps 2ref = 787\n",
      "  steps left = 787\n",
      "   step time = 0.53s\n",
      "  mean accpt = 0.0951\n",
      "         ETA = Fri Aug 17 17:23:22 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:17:24 2018\n",
      "  steps done = 1705\n",
      "  steps 2ref = 675\n",
      "  steps left = 675\n",
      "   step time = 0.53s\n",
      "  mean accpt = 0.0951\n",
      "         ETA = Fri Aug 17 17:23:24 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:18:25 2018\n",
      "  steps done = 1817\n",
      "  steps 2ref = 563\n",
      "  steps left = 563\n",
      "   step time = 0.54s\n",
      "  mean accpt = 0.0952\n",
      "         ETA = Fri Aug 17 17:23:29 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:19:23 2018\n",
      "  steps done = 1927\n",
      "  steps 2ref = 453\n",
      "  steps left = 453\n",
      "   step time = 0.54s\n",
      "  mean accpt = 0.0952\n",
      "         ETA = Fri Aug 17 17:23:26 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:20:23 2018\n",
      "  steps done = 2039\n",
      "  steps 2ref = 341\n",
      "  steps left = 341\n",
      "   step time = 0.53s\n",
      "  mean accpt = 0.0953\n",
      "         ETA = Fri Aug 17 17:23:24 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:21:24 2018\n",
      "  steps done = 2151\n",
      "  steps 2ref = 229\n",
      "  steps left = 229\n",
      "   step time = 0.54s\n",
      "  mean accpt = 0.0953\n",
      "         ETA = Fri Aug 17 17:23:28 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:22:24 2018\n",
      "  steps done = 2261\n",
      "  steps 2ref = 119\n",
      "  steps left = 119\n",
      "   step time = 0.54s\n",
      "  mean accpt = 0.0954\n",
      "         ETA = Fri Aug 17 17:23:28 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:23:23 2018\n",
      "  steps done = 2371\n",
      "  steps 2ref = 9\n",
      "  steps left = 9\n",
      "   step time = 0.54s\n",
      "  mean accpt = 0.0954\n",
      "         ETA = Fri Aug 17 17:23:28 2018\n",
      "\n",
      "--The current time is Fri Aug 17 17:23:30 2018\n",
      "  steps done = 2380\n",
      "  steps 2ref = 0\n",
      "  steps left = 0\n",
      "   step time = 0.75s\n",
      "  mean accpt = 0.0954\n",
      "         ETA = Fri Aug 17 17:23:30 2018\n",
      "\n",
      "Done 2380 of 2380 steps. Quitting now...\n",
      "Exit time is Fri Aug 17 17:23:30 2018\n"
     ]
    }
   ],
   "source": [
    "run_emcee_for_me(sampler, reset=True, steps=2380, end_time=1.0, \n",
    "                 plot_chains_on_refresh=True, walkers_to_plot=500,\n",
    "                 reporting_time=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 170,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Selected star to plot was rejected from final model!\n",
      "Plotting star 5 instead.\n"
     ]
    },
    {
     "data": {
      "image/png": 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wJw66HfNfA/g3AAYADIK5Dn94WERpaGhoaGh8ZhEMPrnMS8RBFQefaZq/b5pm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AEbVKpYJut4t4PI5oNIobN25gY2ODr49Go2i320ycSX1qNptwXRexWAzhcBi1Wo37hsiuN8/c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\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jCuHwlDwL4QCcDKr+gYFSDE9iAHZ2djAYDPDqq68+9PCRJwqcGP7TDxylG6hy3TRNvP32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\nYXrNa6FQwHA4RL1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Nrl69inq9jl/+8pewbRtXr15FuVxm8eW6Lle607W0LIuNOQm+4XCI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\no/4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x864 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Change me\n",
    "star_to_try = 12\n",
    "binary_to_try = 0\n",
    "band_to_try = 'K'\n",
    "\n",
    "# Plot chains output\n",
    "plot_chains(sampler, ranges, data_emcee, star=star_to_try, \n",
    "            binary_star=binary_to_try, band=band_to_try)\n",
    "\n",
    "#data.iloc[[star_to_try]]['A_true_' + band_to_try]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Selected star to plot was rejected from final model!\n",
      "Plotting star 5 instead.\n",
      "One or more truth values weren't found. Not plotting any!\n",
      "Sorry =(\n"
     ]
    },
    {
     "data": {
      "image/png": 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vv65zzz1XY8aM0cknn6xx48ZFOzVUcscdd+iOO+6I+Nz6iAMAAAAAsaTBdMSY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\njCQjI0M6bmJiQr169Th06BCvvPIKEydOpKCggC5dujB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0atSI9PR0zp8/L+UKSUlJYejQ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X6450IMVMVX//3vAynC3Izkv5Gbm0teXh5TpkzB09OTrVu3UlhYSEZGBuXl5bz99tsUFxfL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\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UXRnDhw9Ho9HQp08fvv32W7Zu3cqdO3do2LAhRkZGuLm5cezYMW7evKn3fD9OBjIZGRkZ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\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padvk5GS1g8rw8HCys7PR09Njz549LFy4UMrVd3BwKCTEWFhYIJfLpUGJKs6ePcvLly+l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rlcsBJ/WWJjY0lLS8PHx4evvvqqQs75IlhaWlKnTh0yMzO1BpErAolEQlBQEJ6env/qudiA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\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tW7fw8OFDmJmZYfv27bS6OoaAzWaDzWYjMjJSZ+VLx44dUVBQQFutBTQGys7OzoiOjkZs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\n",
      "text/plain": [
       "<Figure size 1152x1152 with 49 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>omega_exp</th>\n",
       "      <th>omega_sigma</th>\n",
       "      <th>P_exp</th>\n",
       "      <th>P_sigma</th>\n",
       "      <th>m_exp_J</th>\n",
       "      <th>FeH_exp</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.213099</td>\n",
       "      <td>0.026879</td>\n",
       "      <td>5.815848</td>\n",
       "      <td>0.000049</td>\n",
       "      <td>9.154</td>\n",
       "      <td>0.01</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    omega_exp  omega_sigma     P_exp   P_sigma  m_exp_J  FeH_exp\n",
       "12   0.213099     0.026879  5.815848  0.000049    9.154     0.01"
      ]
     },
     "execution_count": 171,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Change me\n",
    "star_to_try = 12\n",
    "binary_to_try = 0\n",
    "band_to_try = 'J'\n",
    "\n",
    "# Make a corner plot\n",
    "plot_corner(sampler, ranges, data_emcee, star=star_to_try, \n",
    "            binary_star=binary_to_try, band=band_to_try)\n",
    "\n",
    "# Get data on star star_to_try\n",
    "data.iloc[[star_to_try]][[#'omega_true', \n",
    "                          'omega_exp', 'omega_sigma', #'P_true', \n",
    "                          'P_exp', 'P_sigma', #'A_true_' + band_to_try, \n",
    "                          #'A_exp_' + band_to_try, #'m_true_' + band_to_try,\n",
    "                          'm_exp_' + band_to_try, 'FeH_exp']]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Data saving and plotting\n",
    "------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Function for computing sample quantiles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def calculate_corner_quantiles(sampler, ranges, data_emcee, data, \n",
    "                               add_scatter_to_A_errors=False):\n",
    "    \"\"\"Computes requisite quantile levels for all parameters in the model,\n",
    "    and outputs them to the original data DataFrame object as well as popping\n",
    "    a, b, s etc parameters in a sensible output.\n",
    "    \"\"\"\n",
    "    \n",
    "    # Quantiles to work stuff out at. Currently set to the 1sigma level.\n",
    "    quantiles = np.array([0.16, 0.50, 0.84])\n",
    "    add_s = int(add_scatter_to_A_errors)\n",
    "        \n",
    "    # Work out omega_0, L, Rv\n",
    "    sys.stdout.write(\"\\rProcessing omega_0 and L\")\n",
    "    sys.stdout.flush()\n",
    "    omega_0 = corner.quantile(sampler.flatchain[:, ranges['omega_0']], quantiles)\n",
    "    L = corner.quantile(sampler.flatchain[:, ranges['L']], quantiles)\n",
    "    \n",
    "    if infer_for_Rv:\n",
    "        Rv = corner.quantile(sampler.flatchain[:, ranges['Rv']], quantiles)\n",
    "    else:\n",
    "        Rv = data_emcee['Rv']\n",
    "        Rv = np.asarray([Rv, Rv, Rv])\n",
    "    \n",
    "    # Work out a, b, c, s\n",
    "    N_quantiles = quantiles.size\n",
    "    a = np.empty((N_bands, N_quantiles))\n",
    "    b = np.zeros((N_bands, N_quantiles))\n",
    "    c = np.empty((N_bands, N_quantiles))\n",
    "    s = np.empty((N_bands, N_quantiles))\n",
    "    \n",
    "    for band_number in range(N_bands):\n",
    "        sys.stdout.write(\"\\rProcessing band {}          \".format(band_number))\n",
    "        sys.stdout.flush()\n",
    "        \n",
    "        a[band_number] = corner.quantile(\n",
    "            sampler.flatchain[:, ranges['a'][band_number]], quantiles)\n",
    "        if use_metallicities:\n",
    "            b[band_number] = corner.quantile(\n",
    "                sampler.flatchain[:, ranges['b'][band_number]], quantiles)\n",
    "        c[band_number] = corner.quantile(\n",
    "            sampler.flatchain[:, ranges['c'][band_number]], quantiles)\n",
    "        s[band_number] = corner.quantile(\n",
    "            sampler.flatchain[:, ranges['s'][band_number]], quantiles)\n",
    "        \n",
    "    # A list of all bands that aren't the V band\n",
    "    not_the_V_band = band_names.copy()\n",
    "    try:\n",
    "        the_V_band = band_names.index('V')\n",
    "        not_the_V_band.pop(the_V_band)\n",
    "    except ValueError:\n",
    "        the_V_band = 0\n",
    "        print(\"No V_band in this model. Using add_scatter_to_A_errors may \"\n",
    "              \"cause unintended behaviour!\")\n",
    "    \n",
    "    # Get all the parameter names we want to look at\n",
    "    parameter_names = ['omega_inf']\n",
    "    for name in band_names:\n",
    "        parameter_names.append('A_inf_' + name)\n",
    "        parameter_names.append('M_inf_' + name)\n",
    "        \n",
    "    # Initialise columns of the dataframe\n",
    "    for name in parameter_names:\n",
    "        data[name] = np.nan\n",
    "        data[name + '_u'] = np.nan\n",
    "        data[name + '_l'] = np.nan\n",
    "    \n",
    "    # Loop over all parameters for stars\n",
    "    for a_star in range(N_good):\n",
    "        # We grab the original ID of the star so we can put it in the right\n",
    "        # place in the original DataFrame. Any failed stars will shift the\n",
    "        # order of everything a bit, making this necessary.\n",
    "        a_star_ID = data_emcee['ID'][a_star]\n",
    "        \n",
    "        # Firstly, do the band independent bits\n",
    "        # Omega\n",
    "        data.loc[a_star_ID, 'omega_inf' + '_l'],\\\n",
    "            data.loc[a_star_ID, 'omega_inf'],\\\n",
    "            data.loc[a_star_ID, 'omega_inf' + '_u'] = \\\n",
    "            corner.quantile(sampler.flatchain[:, ranges['omega'][a_star]], \n",
    "                            quantiles)\n",
    "            \n",
    "        # Calculate absolute magnitudes in all bands\n",
    "        for a_band_name in band_names:\n",
    "            param_name = 'M_inf_' + a_band_name\n",
    "            band_number = band_names.index(a_band_name)\n",
    "            data.loc[a_star_ID, param_name] = (c[band_number, 1]\n",
    "                + a[band_number, 1] * data_emcee['logP_exp'][a_star]\n",
    "                + b[band_number, 1] * data_emcee['FeH_exp'][a_star])\n",
    "            \n",
    "        # V-band extinction\n",
    "        data.loc[a_star_ID, 'A_inf_V' + '_l'],\\\n",
    "            data.loc[a_star_ID, 'A_inf_V'],\\\n",
    "            data.loc[a_star_ID, 'A_inf_V' + '_u'] = \\\n",
    "            corner.quantile(sampler.flatchain[:, ranges['A'][a_star]], \n",
    "                            quantiles)\n",
    "            \n",
    "        # Next, calculate extinction values for the other bands\n",
    "        for a_band_name in not_the_V_band:\n",
    "            param_name = 'A_inf_' + a_band_name\n",
    "            band_number = band_names.index(a_band_name)\n",
    "            \n",
    "            # Get useful CCM fit values\n",
    "            a_i = data_emcee['precalculated_a_i'][band_number, 0]\n",
    "            b_i = data_emcee['precalculated_b_i'][band_number, 0]\n",
    "            \n",
    "            # Depending on whether b_i is positive or negative, which\n",
    "            # one is actually gonna be the upper or lower limit is up for \n",
    "            # debate. We work this out first.\n",
    "            made_with_lower = (a_i + b_i / Rv[0])\n",
    "            made_in_middle = (a_i + b_i / Rv[1])\n",
    "            made_with_upper = (a_i + b_i / Rv[2])\n",
    "                \n",
    "            # If using the upper limit of Rv makes a bigger A, we use this\n",
    "            if made_with_upper > made_with_lower or infer_for_Rv == False:\n",
    "                data.loc[a_star_ID, param_name + '_u'] = (\n",
    "                    data.loc[a_star_ID, 'A_inf_V_u'] * made_with_upper \n",
    "                    + add_s*s[band_number][1])\n",
    "                data.loc[a_star_ID, param_name + '_l'] = (\n",
    "                    data.loc[a_star_ID, 'A_inf_V_l'] * made_with_lower \n",
    "                    - add_s*s[band_number][1])\n",
    "            # Or do it the other way around if the upper limit of Rv would make\n",
    "            # a smaller A (aka if b_i is negative)\n",
    "            else:\n",
    "                data.loc[a_star_ID, param_name + '_u'] = (\n",
    "                    data.loc[a_star_ID, 'A_inf_V_u'] * made_with_lower \n",
    "                    + add_s*s[band_number][1])\n",
    "                data.loc[a_star_ID, param_name + '_l'] = (\n",
    "                    data.loc[a_star_ID, 'A_inf_V_l'] * made_with_upper \n",
    "                    - add_s*s[band_number][1])\n",
    "            \n",
    "            # Now the easy one in the middle\n",
    "            data.loc[a_star_ID, param_name] = (\n",
    "                    data.loc[a_star_ID, 'A_inf_V'] * made_in_middle)\n",
    "            \n",
    "            # Add scatter to V-band extinction errors\n",
    "            data.loc[a_star_ID, 'A_inf_V' + '_l'] = (\n",
    "                data.loc[a_star_ID, 'A_inf_V' + '_l'] - add_s*s[the_V_band][1])\n",
    "            data.loc[a_star_ID, 'A_inf_V' + '_u'] = (\n",
    "                data.loc[a_star_ID, 'A_inf_V' + '_u'] + add_s*s[the_V_band][1])\n",
    "        \n",
    "        # Update the user\n",
    "        sys.stdout.write(\"\\rProcessed star {}          \".format(a_star_ID))\n",
    "        sys.stdout.flush()\n",
    "    \n",
    "    # Finish & return\n",
    "    sys.stdout.write(\"\\rProcessing done =)     \")\n",
    "    sys.stdout.flush()\n",
    "    return omega_0, L, Rv, a, b, c, s"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Compare between true & inferred values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 172,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Processing band 2          No V_band in this model. Using add_scatter_to_A_errors may cause unintended behaviour!\n",
      "Processing done =)          \n",
      "Global parameters:\n",
      "  omega_0 = (-0.12120 +0.01598 -0.01604)mas\n",
      "        L = (631.231 +57.555 -49.880)pc\n",
      "       Rv = 3.100 +0.000 -0.000\n",
      "\n",
      "PLR for band J:\n",
      "  a = -3.132 +0.161 -0.156\n",
      "  c = -5.165 +0.068 -0.070\n",
      "  s =  0.155 +0.021 -0.019\n",
      "\n",
      "PLR for band H:\n",
      "  a = -3.164 +0.107 -0.104\n",
      "  c = -5.401 +0.060 -0.061\n",
      "  s =  0.071 +0.015 -0.012\n",
      "\n",
      "PLR for band K:\n",
      "  a = -3.173 +0.095 -0.095\n",
      "  c = -5.445 +0.060 -0.061\n",
      "  s =  0.117 +0.018 -0.015\n"
     ]
    }
   ],
   "source": [
    "# Calculate inferred values and also get omega_0 and L\n",
    "omega_0_inf, L_inf, Rv_inf, a_inf, b_inf, c_inf, s_inf = calculate_corner_quantiles(\n",
    "    sampler, ranges, data_emcee, data, add_scatter_to_A_errors=False)\n",
    "\n",
    "# Output all of this stuff\n",
    "print('\\nGlobal parameters:')\n",
    "print('  omega_0 = ({:.5f} +{:.5f} -{:.5f})mas'.format(\n",
    "    omega_0_inf[1], \n",
    "    omega_0_inf[2] - omega_0_inf[1], \n",
    "    omega_0_inf[1] - omega_0_inf[0]))\n",
    "\n",
    "print('        L = ({:.3f} +{:.3f} -{:.3f})pc'.format(\n",
    "    L_inf[1], \n",
    "    L_inf[2] - L_inf[1], \n",
    "    L_inf[1] - L_inf[0]))\n",
    "\n",
    "print('       Rv = {:.3f} +{:.3f} -{:.3f}'.format(\n",
    "    Rv_inf[1], \n",
    "    Rv_inf[2] - Rv_inf[1], \n",
    "    Rv_inf[1] - Rv_inf[0]))\n",
    "      \n",
    "# Cycle over bands\n",
    "for a_band, band_number in zip(band_names, range(N_bands)):\n",
    "    print('\\nPLR for band {}:'.format(a_band))\n",
    "    print('  a = {:.3f} +{:.3f} -{:.3f}'.format(\n",
    "        a_inf[band_number, 1], \n",
    "        a_inf[band_number, 2] - a_inf[band_number, 1], \n",
    "        a_inf[band_number, 1] - a_inf[band_number, 0]))\n",
    "    if use_metallicities:\n",
    "        print('  b =  {:.3f} +{:.3f} -{:.3f}'.format(\n",
    "            b_inf[band_number, 1], \n",
    "            b_inf[band_number, 2] - b_inf[band_number, 1], \n",
    "            b_inf[band_number, 1] - b_inf[band_number, 0]))\n",
    "    print('  c = {:.3f} +{:.3f} -{:.3f}'.format(\n",
    "        c_inf[band_number, 1], \n",
    "        c_inf[band_number, 2] - c_inf[band_number, 1], \n",
    "        c_inf[band_number, 1] - c_inf[band_number, 0]))\n",
    "    print('  s =  {:.3f} +{:.3f} -{:.3f}'.format(\n",
    "        s_inf[band_number, 1], \n",
    "        s_inf[band_number, 2] - s_inf[band_number, 1], \n",
    "        s_inf[band_number, 1] - s_inf[band_number, 0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Get IRSA dust extinction values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 173,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N.B. this is always slowest when you run it for the first time. Afterwards, astroquery seems to store the data you requested locally.\n",
      "\n",
      "Filter names corresponding to each band have been manually specified by you as: \n",
      "['UKIRT J', 'UKIRT H', 'UKIRT K']\n",
      "\n",
      "All done! =)                           "
     ]
    }
   ],
   "source": [
    "print(\"N.B. this is always slowest when you run it for the first time. \"\n",
    "      \"Afterwards, astroquery seems to store the data you requested locally.\")\n",
    "\n",
    "filter_names = [#'CTIO B', \n",
    "                #'CTIO V', \n",
    "                'UKIRT J', \n",
    "                'UKIRT H', \n",
    "                'UKIRT K']\n",
    "\n",
    "print(\"\\nFilter names corresponding to each band have been manually specified \" \n",
    "      \"by you as: \\n{}\\n\".format(filter_names))\n",
    "\n",
    "# Make some blank columns\n",
    "for a_band in band_names:\n",
    "    data['A_SandF_' + a_band] = np.nan\n",
    "    data['A_SFD_' + a_band] = np.nan\n",
    "\n",
    "# Cycle over all stars\n",
    "for a_star in data.index:\n",
    "    sys.stdout.write('\\rGetting dust values for star {}...'.format(a_star))\n",
    "    sys.stdout.flush()\n",
    "    \n",
    "    # Get the co-ord of the star and colour\n",
    "    EBV = data.loc[a_star, 'm_exp_B'] - data.loc[a_star, 'm_exp_V']\n",
    "    an_ra = data.loc[a_star, 'ra']\n",
    "    a_dec = data.loc[a_star, 'dec']\n",
    "    star_coord = coord.SkyCoord(an_ra, a_dec, unit='deg')\n",
    "    \n",
    "    # Grab the table from the internets\n",
    "    dust_table = IrsaDust.get_extinction_table(star_coord, show_progress=False)\n",
    "    dust_table = dust_table.to_pandas()\n",
    "    \n",
    "    # Cycle over bands/filters popping extinctions into data\n",
    "    for a_band, a_filter in zip(band_names, filter_names):\n",
    "        a_filter_index = dust_table.index[dust_table.Filter_name == a_filter]\n",
    "        \n",
    "        # Check the filter was there\n",
    "        if a_filter_index.size == 0:\n",
    "            raise ValueError('Filter name {} not found in table.'\n",
    "                             .format(a_filter))\n",
    "        \n",
    "        # Pop values into data\n",
    "        data.loc[a_star, 'A_SandF_' + a_band] = float(\n",
    "            dust_table.loc[a_filter_index, 'A_over_E_B_V_SandF'] * EBV)\n",
    "        data.loc[a_star, 'A_SFD_' + a_band] = float(\n",
    "            dust_table.loc[a_filter_index, 'A_over_E_B_V_SFD'] * EBV)\n",
    "\n",
    "sys.stdout.write('\\rAll done! =)                           '.format(a_star))\n",
    "sys.stdout.flush()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plots of all parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"\n",
    "# Let's plot some comparisons on a 2x2 figure!\n",
    "fig, ax = plt.subplots(1, 2, figsize=(15, 7.5))\n",
    "\n",
    "#### Parallax ####\n",
    "\n",
    "# Calculate lower and upper bounds, also set any NaNs to 0\n",
    "inf_error = np.array([np.array(data['omega_inf'] - data['omega_inf_l']),\n",
    "                      np.array(data['omega_inf_u'] - data['omega_inf'])])\n",
    "inf_error = np.where(np.isfinite(inf_error), inf_error, 0)\n",
    "\n",
    "\n",
    "ax[0].set_title('Parallax')\n",
    "ax[0].set_xscale(\"log\", nonposx='clip')\n",
    "ax[0].set_yscale(\"log\", nonposy='clip')\n",
    "\n",
    "ax[0].errorbar(data['omega_exp'], data['omega_inf'], \n",
    "                  yerr=inf_error,\n",
    "                  fmt='sr', label='Inferred values', alpha=0.5\n",
    "                 )\n",
    "#ax[0][0].errorbar(data['omega_true'], data['omega_exp'], \n",
    "#                  yerr=data['omega_sigma'],\n",
    "#                  fmt='sb', label='Experimental values', alpha=0.5\n",
    "#                 )\n",
    "ax[0].plot([0, 2], [0, 2], 'k--')\n",
    "ax[0].set_xlabel('Experimental parallax')\n",
    "ax[0].set_ylabel('Measured parallax')\n",
    "ax[0].legend()\n",
    "\n",
    "\n",
    "#### Extinction ####\n",
    "band = 'V'\n",
    "band_number = band_names.index(band)\n",
    "band_s = 0*guess_s[band_number]\n",
    "inf_error = np.array([np.array(data['A_inf_' + band] \n",
    "                               - data['A_inf_' + band + '_l']) + band_s,\n",
    "                      np.array(data['A_inf_' + band + '_u'] \n",
    "                               - data['A_inf_' + band]) + band_s])\n",
    "inf_error = np.where(np.isfinite(inf_error), inf_error, 0)\n",
    "\n",
    "#ax[0][1].set_title('Extinction in the {} band, with s_true={} added onto A_inf errors'.format(band, band_s))\n",
    "#ax[0][1].errorbar(, data['A_inf_' + band], \n",
    "#                  yerr=inf_error,\n",
    "#                  fmt='sr', label='Inferred values', alpha=0.5\n",
    "#                 )\n",
    "#ax[0][1].errorbar(data['A_true_' + band], data['A_exp_' + band], \n",
    "#                  yerr=data['A_sigma_' + band],\n",
    "#                  fmt='sb', label='Experimental values', alpha=0.5\n",
    "#                 )\n",
    "#ax[0][1].plot(data['A_true_' + band], \n",
    "#              starting_guess[ranges['A'][band_number * N_good\n",
    "#                                         :(band_number+1) * N_good]],\n",
    "#              'sg', label='Starting guesses', alpha=0.5)\n",
    "\n",
    "#ax[0][1].plot(data['A_true_' + band], \n",
    "#              data['m_exp_' + band] \n",
    "#              - a_true[band_number] * np.log10(data['P_exp'])\n",
    "#              - b_true[band_number] + 5*np.log10(data['omega_exp']-0.05) -10,\n",
    "#              'sy', label='Exp implied As', alpha=0.5)\n",
    "\n",
    "#ax[0][1].plot(data['A_true_' + band], \n",
    "#              data['m_true_' + band] \n",
    "#              - a_true[band_number] * np.log10(data['P_true'])\n",
    "#              - b_true[band_number] + 5*np.log10(data['omega_true']) -10,\n",
    "#              'sk', label='True implied As', alpha=0.5)\n",
    "\n",
    "#ax[0][1].errorbar(data['A_true_' + band], \n",
    "#              data['m_true_' + band] \n",
    "#              - a_true[band_number] * np.log10(data['P_true'])\n",
    "#              - b_true[band_number] + 5*np.log10(data['omega_true']) -10,\n",
    "#              'sk', label='Gaia g-band vs inferred', alpha=0.5)\n",
    "\n",
    "#xmin = data['A_true_' + band].min()\n",
    "#xmax = data['A_true_' + band].max()\n",
    "\n",
    "#ax[0][1].plot([xmin, xmax], [xmin, xmax], 'k--')\n",
    "ax[1].set_xlabel('Start extinction')\n",
    "ax[1].set_ylabel('Measured Extinction')\n",
    "ax[1].legend()\n",
    "\n",
    "plt.show()\n",
    "\"\"\"\n",
    "hi = 1 + 1  # To stop Jupyter from spitting out the above comments in Out[]:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## PLR plots\n",
    "Plots of period-luminosity relations that we've inferred."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_a_PLR_plot(data, band_names, band_labels, ID, band_colours, \n",
    "                    band_offsets=None, a=None, b=None, c=None, s=None, \n",
    "                    P_name='log_P_exp', A_name='A_inf_',\n",
    "                    plot_title='PL relation plot', save_fig=None):\n",
    "    \"\"\"Makes PLR plots for given input parameters. \n",
    "    \n",
    "    a, b, c and s should be arrays of shape N_bands x 3, where the first column \n",
    "    is lower values, middle is the central value and last is the higher values.\n",
    "    \n",
    "    Will only plot band_names bands. ID should be an array containing the\n",
    "    integer IDs of stars to plot. data should be the DataFrame containing\n",
    "    everything about the stars.\n",
    "    \"\"\"\n",
    "    # Grab some stuff we'll need\n",
    "    N_bands = len(band_names)\n",
    "    N_stars = ID.size\n",
    "    log_P_plot = np.asarray(data[P_name][ID])\n",
    "    plt.figure(figsize=(6, 6))\n",
    "    \n",
    "    # Set band_offsets to nothing if they weren't asked for\n",
    "    if type(band_offsets) == type(None):\n",
    "        band_offsets = np.zeros(N_bands)\n",
    "    \n",
    "    # Cycle over all bands, grabbing and plotting data\n",
    "    for a_band, a_label, a_colour, an_offset in zip(band_names, \n",
    "            band_labels, band_colours, band_offsets):\n",
    "        \n",
    "        band_number = band_names.index(a_band)\n",
    "        \n",
    "        # Grab stuff from data\n",
    "        m_exp = (data['M_inf_' + a_band][ID]) + an_offset\n",
    "        m_sigma = np.asarray(data['m_sigma_' + a_band][ID])\n",
    "        A_inf = np.asarray(data[A_name + a_band][ID])\n",
    "        A_inf_u = np.asarray(data[A_name + a_band + '_u'][ID])\n",
    "        A_inf_l = np.asarray(data[A_name + a_band + '_l'][ID])\n",
    "        \n",
    "        # Work out corrected magnitudes\n",
    "        m_plot = m_exp - A_inf\n",
    "        m_plot_errors = np.asarray([m_sigma + A_inf_u - A_inf + s[band_number][1],\n",
    "                         m_sigma + A_inf - A_inf_l + s[band_number][1]])\n",
    "        \n",
    "        # Calculte parallax errors so we can do fancy shading in a sec\n",
    "        omega_frac_errors = np.clip(\n",
    "            1 - 3*(data['omega_sigma'][ID] / data['omega_exp'][ID]), 0.0, 1.0)\n",
    "        a_colour = np.asarray(a_colour)\n",
    "        \n",
    "        # Plot the points for every star\n",
    "        for a_period, a_mag, a_mag_error, an_omega_error in zip(\n",
    "                log_P_plot, m_plot, m_plot_errors.T, omega_frac_errors):\n",
    "            \n",
    "            # We pop the magnitude errors into a 2D array of 2x1 shape to keep\n",
    "            # matplotlib happy.\n",
    "            a_mag_error = [[a_mag_error[0]], [a_mag_error[1]]]           \n",
    "            plt.errorbar(a_period, a_mag, fmt='o', yerr=a_mag_error, \n",
    "                         color=a_colour * an_omega_error, ms=4, mew=0, mec='k')\n",
    "        \n",
    "        # Next, plot PLRs\n",
    "        x_fit = np.asarray([log_P_plot.min(), log_P_plot.max()])\n",
    "        y_fit = (a[band_number][1] * x_fit \n",
    "                 + b[band_number][1] * np.mean(data_emcee['FeH_exp'])\n",
    "                 + c[band_number][1] + an_offset)\n",
    "        \n",
    "        plt.plot(x_fit, y_fit, '--', color=a_colour, label=a_label)\n",
    "        plt.fill_between(x_fit, \n",
    "                         y_fit + s[band_number][1], \n",
    "                         y_fit - s[band_number][1], \n",
    "                         color=a_colour, alpha=0.2)\n",
    "    \n",
    "    \n",
    "    \n",
    "    \n",
    "    # Pop some labels on\n",
    "    plt.title(plot_title)\n",
    "    plt.xlabel('logP - 1')\n",
    "    plt.ylabel('M')\n",
    "    plt.gca().invert_yaxis()\n",
    "    plt.legend()    \n",
    "    plt.show()\n",
    "    if type(save_fig) == type(str):\n",
    "        plt.savefig(save_fig, format='png')\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 174,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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8HKbLVg0mdNXudtN4/jyfXrKEHeT6DPkiEcFkXKeEpBmzyhCfQShHRChKhLeq\nilan0xjMF100q6uJ7PIUu59/ntamJlqzEry8bndm7FWrprSaCFVUFFyN1GcZ5HalmKj8n+/MGQD8\nS5fmvD/T7nIFez+PIRQpnyGEMZPDmAd3s9PJZoeDgWSSLzU3c7nTyTFMD+jngKPW9Y0YgbgE+G3g\nd1wuGCNQIEam3afCrBSy+0CLzyCUMyIUJSTtQ8zyllN2eQoNhKJRSCZNgTrLOH/dSgybqpFdn13q\ngqzViMOBamhAx2Jc7nbjOXdu9n6gKdDhcKCsBkN263UKjXlYXyDjM6Q+0deQ6QMdA3A6SVZWMmSt\nLkaAH2Myn9+P6Qed7TNkb0PB6P4M2fkM4jMI8w0RijJlJn0osstTKMBRWZkxr48eJTCDkiGeRCKz\nGlm5Eq/bncn8rqwEhwMcjlk3sVMUKpyXjddup7WigpDWdNbUsN1uT9dMOoP5RG9jtM+QAB7ErBhe\nAIYbG0FrXiJjPj/F2Alr4jMICxkRigVIdnmK+upqQk5n7nbM0NCM7p9eCVmrkXTmdzIJySSnStS8\nB4wQVFmZ3SN2O13W+04o6DMMYyqrVmCa+FQA7wP2h0LURKN83NoaS5XYyCaVz5DACE7KZ/BYY4nP\nICwURCgWKOn+y5WVoHXudpHbzVd6e3PO9730EjC+CT4WHS6XEYloFICT8fio/IxUAcSw1oQSCepT\n85sh2T7DScy2Uj/mIV1JrqG8HxOd9BwmGxrMg/0W6/sHs88vUJuqkM+wEbMyEZ9BWMiIUCwCPGC2\nixKJtHHe2tw86rxwNJrToyGwY0eOWKQL/Q0N4ckSAa/LxQql6Mm6V1eBRL5wMpkuTsjgICvc7jET\n2sZiLJ8h1Qd6CeaTfxJ4GdPN7Xcxv+h+TIG9K8lUW92Qde/8jJWENVa2z3CRNYb4DMJiQoRiGvis\n//pneJ85KS9uVaGtr6xkdWVl2jgPJ5Mm1yAaxWs1AQplRwxpTVdfX1oocgr9vfkmrWvX5ozT4nDQ\nMzJiSmsrRVOB1UIomTT3t9lM3wataT97lsCSJeOKxTBmlXAGs2U0ls9wFvgB8IuqKgbsdm63jnUA\nFwMfB/6AsR/wmkwfaI1ZIbRYX+IzCIsZEYoFTFjrdBVa1dtLq9Xz4cpXX+VAXR0oxe7z52kdHsaD\nqcmUU2Mqq8PcqEJ/eT6Hx27HZbMRsXoyfPLcOS5zuXLqStXbbOb+WX0b4pgEt2yhiDG6P4PG9GfI\n9hnOYAzmLZgtoKOY4nqrHQ7eham0ehWZ9qCFNtIK+QzrrXPFZxAEgwjFAiak9egwWSDkcKQf1Fop\nQhUVeABPZeWoHg0psgv92ZU19m5VAAAgAElEQVSic+PG0QPabLkCMDycqS1lheducjjox/gJYH4B\nr3E6CZHrM2jMJ383mS2hOPDfZMpwv2G9fztGKLZjQljHS9FL+QwxawzxGQRhYkQoyhDfiy8CJhTU\n98or5vsphsv6d+wg2N/P7pdfTovFGWuLqT4WSzfYUVpTb/VS6PZ4oKaG1t7eUUZ2dqG/ziuuKNjP\nukLr9Pd2oMPa5squa6UwfskSu50+rfmrxkYGnc6c/gzN1nlx4BAmg/ka670vYB7yVwE3YFYNKcly\nMFokEmTqJmX7DKn+DOIzCMLEiFDMM/LbjY6Ht7Y2XYX2TG0tdksoPPE41b29LF26lPqBATzJJOF4\nnJFwmIrKsR+d6UY/BUTCv2IFvjffZF88zlK7nc5ly9KriS5r+wvMw/pkMskSm416TLkMNxmf4U3g\nWUwZ7hcwD/n1GKGoAO4DVjM5nyGJ+QUXn0EQZoYIRRnSbW0RzQapnIfVeT0t7LEYqysqIJk00U5Z\nD/PwFPpH5GMHVtvtXOVy0Qv0Qk6EFJgeE6kRhoFngHdiVgz3AY9ixOA9mBVDdum+Ahteo3yGJmAd\npgy3+AyCMHNEKOYxvlOnAPAvWzal68LxOCOxGOHhYUgkeNMqeZEiZLUbnQoJ4Edr1/Ku48cJY/IV\nwPyCtVZVcbHTSX8igdtuJ+F2c6ymhv7KSt5tnbcFIw57gN9DfAZBKCdEKKZBGGO8BjE1fybC9/zz\nAPh37izirCZHsL8/vXo48NZbpohdXiZ1vS2/ctFosvMZTmMilBKYFUIqeijbZ3A4HCyz2fiNNWv4\nLKZdaE00yifsdnZh6iCBEYt8sn0GMFnWKzD5DOIzCELxEaGYIkGgG/OgbAcCTE4sSk2qY9sDFy7k\nrB5IJEz2tttNhcNBS3099+RVdE2RxDy0D2HEIdUJuwpTBdWG+TQfsdt5iIzPMAhc5HbT0t+PF/hH\n4HKlcI6ROzGez1CLiYQSBGHuEKGYIl2QWzeJ2REK3wsvAOC/8kriySSJRIJgOJxOmAsODEy7213Y\nZkt3bLsXTOG+WIwKIFFhbdQ4nSTq6uhRivZz5wg0N3NVZSVhjM9wCvjs1VejMIlt2fkMZ63jG4G/\nXbmSXwUOY1YJ12F8hgcHBwHzoC/ULijbZ6jAbCOlfIZqRldnFQRh7hChmCIdkFs3aYb38x06lPM6\nGA4zODICwDXd3SScTrDZaH/lFQJbtpgyGokEwf7+Sd3ff+mlfPXCBQ6EQoB5EK+oqcE5NETnpk3c\nefIkoUSCEbudnqwciAdGRuirrERZP2c1phIqmAf6s5hchr3A65iyGN+yzvsqsAkThpri7atW5cwr\nu24SZHyGVH8G+cUUhPJB/j1OES/QivEoOpn9baeuCxeMZ2CzkUgmzdaQzUZcax44dy7tL7S//DLr\nly0jZrdPWC+pw+XKEbcWrfE4nbTV1lJ95gyuigrOR6Pp3IoKYJvTme4DHcf0fL7Yut9nMELhxLT7\nfB+mblIKX4E5pHyGYeue4jMIwvxBhGIaeKyvYngTTZWVxjNQyjy4LezW6/S2l93OEYBEgvZTpwgs\nWzamWHidTlodDkLJJP+yZAmf+8UvGMSU2b5gneOKx6lKJGhwOvliQwO1lZU5PsMQ8ASmtMXvAB8F\ntmEe+IUo5DMsBbYiPoMgzDdEKOaAdOnuUAhvgfLV2fQmEpkoJKVY4XDgtNno3LABtOabp06ZaqlO\nJ8nschmRSEGhiGEK6jlsNupsNoacTvoxe/41ZHosfPnyy/l0by8VWvN6ZSVftN5fCem6Sam7XznG\n3FM+QxKzahCfQRAWBiIURSYYCtHd32+2i55/nsDOnQXFIiUmTVmhqXalaHE4TDa0ZWS3ut2EEgk+\nt3Ile6xqrnasnhCYLZ4BoA9jMIcwn+4jGJN4KUYcEjYbQeB4UxNht5vrgDWVlTSNjOAFPo8Rh2yf\nIZ/8/gy1iM8gCAsR+bdcZLL7V6dLd2cJRTge59TICCetqKBPHj6Mq6oKbDae2rqVzxw/nnO/VBmN\njzc0cM/wMKFkkvuWLGG108kLZPIZKjDbO6l8hgogbq1A7r70Ut4N/BHgrK+nFSMKP42ZgNdlmL7Q\n+eTXTXKR8RlqGXsbShCE+Y0IRZHJLtWdX7o7nfwWj6ffi2uNPR7H6XSOGQ6bxJTYrrDZ8NhsjDid\nHCQ3n0Fjym7vtb5eXLoUj1UapBG4E+MXbCfzgP/txsaccTTGYxgi12dI1U0Sn0EQFgciFEXGW19P\n9bJlJCIRntq8OWc10ZVKfsvbbqrIa/qjgfOYfIYLmE/2L2C2fmxkwlYHyPgAn8JEJoHZPrrBZuPa\nrN4Qvz3GfPPrJjUCaxGfQRAWMyIUc4Dd6cTudI7yJjrq6kzYqs0GlZWsUIrvX3YZ1x05kl4RfHXL\nFvowqwIHZhvJgdnuQSnCDgdfx+Q09GBqLDmAdwNvg5zyGIUo5DNsIFM3SX5BBEEoyXNAKfUbwF2Y\n3Y9dWut91vvvBO7GhNVHgf+ptf5pMefiO3ECAP9F49m2ufhnaex0GfBEglqtqbbZqKyrY01NDRp4\nhdH9Gb556aXYgX8HDi5dilaKY5jcjuswD34HpvJqIcRnEARhqpTqA+Mh4ANYFSWyOAf8uta6Ryl1\nGfAY4wfezAviSpFQimAkku7REMEUF6ywzOlkNMoAJpT1vq1bR/kMzwH7gK8AuzHVVj+qFLswPoMr\nf1CLfJ8hFfnUgsmJqELKcAtCNr59PgD8O/wlnUc5URKh0FofBlB5VUu11geyXr4MVCmlnFrrkTmc\n3qwSjEQYtHpEt/f00LliBctcLgYxD/GUz5AqjV1lvT4FfAxTfA+MWv4aptcCGKEYq+ddBCMMcXJ9\nhlQfaPEZBEGYCuW8BX0T8MJYIqGU2oNpX8Dq1YWKU5eWJGZ18KNIJKeP9GORCL/rchmPAYzPUF1N\nf1UVYY+HvwE+jdkKugqzWmhjfJ8hjjGyUz5DDaYrnPgMgiDMBkV7hiilnsCE5Ofzea31jya49lJM\nbblfG+scrfW3MHXo2LFjhx7rvLkiVbIi1Z/hLEYsWrIijSqAX3G50j7A54GDW7eibTYqMT7DxVnn\n/uUYY6X6PgyT6zOk+kCLzyAI0yccDxOKhwheCOKtK+8mAr4eHwD+Ff6ijlM0odBav2M61ymlVgI/\nBD6qtf7l7M5qNKk+Ddn+wWSJYFYNqTLbI5htHReZfIZml4u1Lhd9SrG+oYEvulw8hPnkvxb4iM1G\nG0YkJuMzaDIhsZsRn0EQZpPghSDdA91oNO372gnsCJS9WMwFZbUroZSqBx4GPqO1/u9ijxeMROiO\nRk15jRMnCFx00bhikaqblOrPkPIZnJjopLq88x8B/gE4vWIFYFYabRhBcQG3jzM38RkEYe7p6usi\nVXozruN09XWVtVCEk2FCyRDBSBCvq3jzLFV47PuBv8NsxT+slOrWWr8L+H1MuaA/V0r9uXX6r2mt\nzxRjHl1ZvaLj1utsoUhi9v5DwElM/SQw20LV1uTBfNp/LuvrzzFGcx1wKVAZCuEZGeH+lpYxP/mn\nfIZUH+haTEG9JsRnEIS5oqOhA4VCo7ErOx0NM+04UzyCkSDdUWv109NOYEWgaGJRqqinH2K2l/Lf\n/yKkC5cWnY6qqpw+DddWVeX0gT5LJkM5O58hxQngL4CDmAe9A7OFlGrG8yvW156hIci7Nt9nSPVn\nEJ9BEEqHt85La00roXiIzss7y3o10RXJWv0QpyvStbCEolzwulxsr6zkfDLJ3S0tDLtcPM1on0ED\nx8h0dNsG3IrZDooAH4ZxfYZvrViRNrvz8xk2k6mbJD6DIJQej92Dx+4pa5EA6HBlrX6w0+Eq3upn\nUQsFQJVVWK/F5SroM/wNJhP7lPV6GXBZ6lrgX8e59wjGx0j5DA3AGkzdJPEZBEGYCV6Xl9bKVkLJ\nEJ1LOxeeR1FupFpzPo9ZNZwBvmQdu4CpM3IbmXwG8RkEYeEynzKyPTYPHpunqCIB8uyi1+XiRE0N\nbyNTJ6kV89C3A381zrXZPgOYAlXLyfSBFp9BEIRiUuz8iRSLXijiNhsJpfgQptJqK2ZLqRBj1U0S\nn0EQhIXMoheK/25ooJtMqGs+2T6DQnwGQRAWH4teKPJXAHGMMKQKTKV8hkbMqmHR/4UJgrDokOce\nRhTOWt9XYiKbxGcQBKGcSZJkgAHixGmkceILZsCiFwonZitpKSY0VnwGQRDKlSGG6KefoxzFj58T\nnOAmbuJari3quIteKOoxBrYgCEK5ESVKP/2c4xyv8Ao/5scc4ACHOESUKG7cvI/3FX0ei14oBEEQ\nyoUECQYYoI8+DnKQLrpopBEvXmzY+DbfZj3ruYmbaKONy7kc2xyE1IhQCIIwJ/gO+gDwb/OXdB7l\nhEYzxBAXuMApTvETfsLzPM8BDvAWbwHwHt7DdVxHPfU8yqPUUMMggyRIECfOKlYVfZ4iFIIgCHPI\nCCOECXOSkzzN0xzlKG/n7VRRxYM8yOu8zpVcyQf4AG20sYY1hAgRJYpCYcPGZjbTQAM11FCRbqRc\nPEQoBEEQikicOP30c57zHOAAfvwc4AAv8iKDDOLCxU3chAMHd3M3DTSQIEGECBrNCCOsZCXNNFNL\nLZVUzvnPIEIhCEXEhw8AP/6SzqMcCMfDhBIhguEgXk95V2adCRrNAAOECPEqr/IUT3EVV1FLLY/x\nGPdxH8tYxjt4B220sZOdxIhxgQs4cBAhQov1x4OHqjFrRcwdIhSCsADxHfcB4F/pL+k8UgTDQboH\nrSY7B9sJbAssKLEYZpgwYY5znJ/yU/axj266eY3X0Gi+wTdop52buZl3825aaGGIIeLESZDAhYu1\nrKWOOmqomRODeiqIUAiCUHS6LuS1GL3QNa+FIkaMMGHOcpZneTZtKh/nOH/Kn1JBBZdxGbdzO220\ncTEXc4ELJEnixo1Gs451NNKIBw/2Mn8Ul/fsBEGYFuGktc0zHMRbVfoHckddXovRuvJtMVqIJEn6\n6aePPg5xKO0zdNPNec7zft7P5/k8TTTxDb7BdrZjw8awVVt6hBFaaGEJS/DgwVWwxVn5IkIhCEUk\nTJgQIYIE8TI3D+zgcJDuEWub53g7gZWBkouF1+OltbqVUCJE58WdZb+ayA5bfZM3OchB1rIWhWIP\nezjJSeqpZxe7aLP+RIgwwABb2EKMGM00s5GN1FFHNdWoeVzzQYRCEIpEkCDdWA9s2gkQmLRY+A74\nAPBf4Z/yuF3Deb2Uh7tKLhSQ1WK0TEUiFbZ6mtM8zdM8x3Mc4ACHOYwHD4/yKArFZ/ksjTSyjnUM\nM0yMGAAKlQ5braV2TsJW5woRCkEoEl3kPbDpmpNVRUdVXi/lqvm1zTNXJEgQJkwffexnP27c2LDx\nL/wL/5v/DcBmNvMhPkQbbcSJEyHCJjYBRlhWsCK9nVSKsNW5QoRCEIpEB3kPbObmge2t8tLqtLZ5\nlnUWbTXh2+sDwN/mn9T5pc7IToWthgnzGq/xU37KfvZzgAOc5CT3cz+XcRk3cAPb2c4OduDGzRBD\naDRhwixlKS20UEcdbtwl/XnmEhEKQSgSXry00kqIEJ10Tmk1kc45uBDEWzf1B326l3IZbDmVkmGG\n6aefE5zgGMdw4OAIR/hj/jgdgXQVV/Fb/BbLWJY2nRtpRKOppJI1rKGe+rIMW50rRCgEoYh4rD9T\nEYnghaycg+52Aq2BKYvFTPInfC/6zD22+/Htt76/anL3y762FMSIpautBgnyDM/wAi9wiEPcwi38\nAX9AHXX8Lr9LG21p43mEEZIkiRNnDWtooolaanHgKMnPUW6IUAhCmVEw52Aaq4piE46HCcVCBPuC\neBtKM79U854QId7kTYYYIkmSO7mToxwFYBWreC/v5WquTovBzdxMkmR6BbGUpfMybHWuEKEQhCIy\nndIdpc45yC61EY6HCcVHb4EF+4J0h61Vz952Am2BOROLVNjqUY7yFE+lfQaAh3gIheIGbqCWWtpo\no5HGdLXV85ynmWY2sGFBhK3OFSIUglBmeOuycg62ds7paiK71MY13deQiCdAQ/v+dgJXZbbAus7n\nrXrOd+Ft8BalnlOUaDps9QxniBDhu3yX7/AdYsRw4GA72/HiRaNJkOB6ridKNH2PjWykkcYFF7Y6\nV4hQCEIZks45mOMtp+xtrwQJ0xdYW2LQl9kC62jMW/U0duTWc3qxncD26dVzSpDIqbYaIJCutvrP\n/DNrWMM2tpEgQRtttNJKkiTDDHOOc7hwpcNWa6nFiXM2/4oWJSIUgrBAmU5hwOxtrwoqSOgEgBGD\nhswWmLfBS6unlVAsROf2TrwNXr567KvTquek0QwymG7ec45zHOEIX+NrHOc4AM00cw3XpOfWRhuX\ncVlaIJaylM1sxoMHN27ZTpplRCgEoQyZTkb2ePh+7jP3vWT8++aU2tjSyZ2H7yQUD9F52egtsPSq\nx/ImpuKtRIgQJswJTvA0T6e7ur2Td/Jb/BZb2MIa1nALt9BGGytZyRBDxIhxjnM00MAWtlBPPbXU\nLtqw1blChEIQFgC+530A+Hf60++Fk2FCyRDBSHBK98outTGVLbB8kcleTcSJEyZML72c4hT99PNl\nvswBDjDEEArFVrbSRBM2bHjw8Ff8FREiKBRx4qxmNU004cEjYatzjAiFICxAgpEg3dFMYcD1yfXE\nYjGC/UG8tYUf+r7zPmDyORCFMrJTwrLLsytdEPEwh/Hj5wVeIEGCv+QvaaEFN27exbtoo40d7MCB\ng2GGOctZ7NhzwlbLoXnPYkaEQhAWIPmFAY8kjkAU2g+3E9gaGFMs8plsoh2YsNXvbv8upznNkzzJ\nwzzMf/Kf/JJfAlBLLbvZna6J9AW+wCCD6dwGDx7WsS6dBS0+Q/kgQiEIZcZUs6GBTL5DKIi33ptT\nGNCGjWQ8CVgmc39XQaEIJ8OEdIhgNIi3cmIhSYWtnuEMz/AMz/IsL/Iid3EXS1mKQlFHHXdwB168\nbGJTOjJJo6mllg1sSIetlnvznsWM/J8RhDnC94wPAP9uf+HjVvmLqRIMBenut7aZnm8nsDOAt95L\na2UroWSIz9V+jj29ezImc+1okzkYDdKdsO7R106gITBKLFJhqyFCnOQkBznId/ku3XQTIgTAetYz\nyCAVVPCb/CY3ciMRIiRJEiHCcpanq61K2Or8QYRCEOY5XX15yW99XXjrvenCgB9v+jj39Nxjopc2\ndhZcTXTF8kqix7poq2xLZ0H/kl+ms6B3sQsfPhpp5CVe4mqupo02drKTOuoYZJAznKGCCpppZhOb\n0tVWZTtpfjKuUCil/mO841rr62d3OoIgjFU2Yyw6GvLCUq18h+z8CU+FB0+FZ0xvosORWxJ9tWM1\nT/AE/8q/0k03hzlMggROnKxjHS5crGMdP+bHDDFElCgKhQ1bunlPDTWSBb1AmGhFcTVwDPgOsBdm\n5+OAUuo3gLuArcAurfW+rGOfBT4GJIBPaa0fm40xBaHUTFRELxwPczp6mp7hnoJlM8bCW++ltbbV\nrBgu78RbP/ls6Dhx+umnubKZNY419Kpe3lb9NloqW6immqd5GjduPsJH0kluCRKc5SwaTRVVrGQl\nzTRTS+2Cbt6zmJlIKJYB7wQ+DPwm8DDwHa31yzMc9xDwAeDe7DeVUpcAHwIuBVYATyilNmttpYcK\nwjwlp4jeM+0EducW0csuf0EFkBhdNmM80vkOY4hEKtEu1bwnRIhTnOIJnuBpnuYABzjdeBqA13iN\nOuoA6KSTJMl0VdYIEVqsPxK2ungYVyisB/SjwKNKKSdGMPxKqb/QWv/9dAfVWh8GUGrUAuUG4Lta\n6xHgDaXUL4BdwLPTHUsQyoGu3jwfobcrRyiyayyhzJed3LIZ45GdaJfPMMOECXOMY/jxs5/9fISP\n4MHDIQ4RIMBOdnIbt7GLXbTQwnnOEyeODRuNNLKWtdRTTzXVkgW9CJnQzLYE4r0YkVgL/H/AD4s0\nn4uA7DTS49Z7hea1B9gDsHr16iJNRxAy+I74APBv9k/52o6mPB+hKVcAsstfACx3LOcHl/9gWkUB\nY8QIE+Yc53iJl3icxznAAQ5xiAgRKqjgBm5gGcvYwx7u5E5GrD+pOaxjXbp5j4StChOZ2f8KXAY8\nAvyF1vrQZG+slHoCs3WVz+e11j+a0iwLoLX+FvAtgB07duiZ3m8hMlE4plBcfAd8gKnb5G3w4q5w\nk9AJnrr6qVEeRXb5i3rqjfE8SZFIkqSffvro4yVeoosuNrCBzWzmNKf5J/6JtazlBm5IV1u1YUv7\nDE6ctNCSDluV5j1CPhN9VPgIMAj8IfCprK0iBWittWesC7XW75jGfE4Aq7Jer7TeE4SSE05YvRYG\ng3irRz/Efc/56I5101rbin+bf9Rxu82OHfuYDX5SPsNEJTQ0Oh22epzjPM7j6eY9qa5uH+Nj7GIX\nV3EV/8l/Uk89AwyQJEmMGM00s5GN0rxHmBQTeRRzvRn5H0CnUurrGDN7E/DcHM9BKGN8B30ABR/E\nM773OBVWg4NBuoctM/rVdgIXBwqKRTbpJj5WmOv6mvU52dP5jCcQI4wQJswpThEgQB99XMVVVFLJ\n1/gaI4zQSivXcz1ttLGOdYQIESVKBRUoVDpsVZr3CFOlJJuPSqn3A38HLAEeVkp1a63fpbV+WSn1\nPeDnQBz4PYl4mj7l0NO4nPHt8wHg3+Gf8Nyu/ryEtP6uUULRHemmX/Xz1shb3HfyvkwTn+52vrnx\nm5ns6VTr0HHCWBMkCBOmjz5e4AWe5mle4AUOcpB++lnLWq7jOgDu5V4u4qJ0VBIYYUk17/HgkbBV\nYUaURCi01j9kDENca/0l4EtzO6OFx0ThmMJowgkr0a1AhdWO2tyEtEJlMEaSIyQrkrwx8gaf+OUn\ncqKcvn/2+6Nbh2YJRSpsNUyYIxwhQIAd7MCOnX/in3icx2mhBR++dBb0kPWngQYiRFjKUpaxLN28\nRxBmCwlnWKBMFI5ZjkzGfJ/NnszZGdDYoHvIEtYCFVa91V5aq6xeC+s6R60mgqEgkWQk/S8qSTLd\nRtSu7Ny05CYeO/VYTuvQYYbpp58TnMCPn73spZtuXuM1kiT5Pt9nDWu4ndvZwx6WsYxhhokTJ0mS\nSipZw5p0tVUJWxWKhQjFAmWicMy5wrfXBxTuXTBVcnoyH2wnsG16PZkBgheCdA9Y99rXzp41e3KF\ntUCF1XQZjALexAMnHwAboAEFNmxsdG0kpmN0bjXd4f7hzX+gL97H17Z/jSP1R3id12mggSBB/pK/\npIIKLuVSPsbHaKONFloIE6aGGjSaBAnWsCYdtirNe4S5QoRigZLT0/jKzrJfTaToHurG93Nf2lD2\nnfQB4F/uz0lKm0pP5kLkF9IjQa6wFthaGjd/IvVhPgEouLHpRnpjvSRIsKJuBY/wCOdazjFQN8Cd\n9XfSSy9/yB9yK7fyNt6GBw9XciUVVDDMcE4WdKp5j4StCqVChGIBk9/TuBTk90mY6NyR+AjhSDjz\nXlY7z+wezAo1bk/micgvpHfrslt5NvpsusLqZ4Y+A0Pgb/FP6n63LruVe07eY15ouG7VdXz9+Ndx\nRB0c4AA3czPxjXHqqOMKrqCNNnazmwgRokS5hEuIEqWZZjawQcJWhbJChEIoCr69PsLx8KQjfbLN\n9wM9B7iv5T4ua7os087zZDuB5QFcuIgQodHdyEwiPL11Xlprsgrp1XlzKqyGByyBGgnidY4tcKnm\nPbV1tVS6K4lXxlm/bj2/V/d7XFp3KfdxHwB/xp+xnvVsYAPDDBMlmr7HRjamm/dI2KpQjohQLGBK\nnZEdiofGjfTJJtt8B/jEkU9wxyV35ISkPnDhASLahH/2DvZyzeFr+NnWn02YzzAW6RWXlQGd2u4K\njgTpjlkCdbqdQEsgLRap5j3nOc8hDqV9gq/wFaK7Mg//W7iFq7k6XVCvjTY0OidstZZaad4jzAtE\nKISiUW+vz933bxx7qyjfbE86khAjJySVkdxrEokEXQOj8xl8YR8Afo9/WvPuGsnNmXh85HFWOVfx\nC36Rbt7TTTcnOMF/8V/UU8/N3Mw7eSc72UkNNele0H30sZSlbGZzOmxVtpOE+YYIxSLB1+MDwL/C\nX7wxXrbGuNSfTvbbVLWJGDE6t4/fJ8Hb4GWzZzNH4kegEuyVdm6tu5Vnw88SSoboXNIJUbiHe9LX\nVFRU0FEzWnzC2ur9HA/itY895liJdl6nNy1QFVRQ66zlHu7hbu4mSZIqqriSK7mFW7BhS3sMMWIA\nOHCwhS3UU08ttRK2Ksx7RCiEWSfbb1AoWj2tk2qms9y+nBPxEyytXppu2ekZMO08vS4vuOCK6is4\nFDlEc3UzP9j0g9H5DPGs3s/hdgKewLhiAWbVkKq2+jzP89/O/6aqoYrhxDAfrfoo1zqv5QQnuI3b\naKMtLQoRIowwQgUVrGY1TTThwSNhq8KCQ4SiTPG94gPAv8U/K/fLjh7yurz4Xrfuv37q9/e9YV27\nrvC1XeczWzcaTSgWmvS97Uk7q52r0zkM/uW5Y3jsHtwVbjZXby7oTRTq/ZwvFEmS6eY9JzhBmDAD\nDHAnd3KGMwBUVlXSFG2iw9mBRlNPPbdwS9pnWGr9keY9wmJAhGIREIwEM9FDPe0EVgSKMk4qa7qp\nvinHm+jc3jmp62fDfO9wdKCGs0ptOMzW1BBDhAnzFm/xFE+xj30c4ACrWMVf89c004wPHxvYQBtt\nNNubGbQbn+E852mkkXWsS2dBi88gLCZEKMqUdN2hgSDempnlQXRF8j5lR7pmPrdkiOBQEK/bzO3K\nN67kwNABAD557JNsqt1ELG55E1l5HL63fAD4V/unNfZEJbi9di+tFa2EdIh7au6hzl6HHz8RItzD\nPTzGY0SJYsfONraxgx0oFHHi7GFP2mcA2MCGdNiqNO8RFjPy21+GBAeCmbpDr7QT2BKYslhkV0bt\ncOUVtHN18FDioVEP+0NMz6oAACAASURBVEnNbShI94g1tzfaCawL4HV7CUUy20txHSdmj7HasXrM\nZD/fGWt+S/1T+rnGIhW2GiJE1BYlao9yt/1uXuVVHuIhlrCEi7mYGmrSzXsAIkQ4wxmcOFnO8nS1\nVQlbFYQMIhQlxHfUB4B/jT/n/ZyS1qm6QzNYVXhdXtwJNwmV4KmVT0GSzMP+9XYC6wNpsZio9HbX\nYN7qZLALr9uLw+kANxADe9xO56Wdo2olgeWVJELU2+vx2MfsezUhGs0gg+keDec4R5Ag93Efx2qP\nAUYEdrGLEUZw4+YGbmCIIRIkGGGEZprZxCbqqJOwVUEYBxGKMiSnpPUYdYcmIrsyqrfOy47KHYAR\nja+e/WrBh/1E+J71Ea4Io6qzVifVHQQjQV7jNagGErDctrygSASHM6sRBmGFe8WEmc/ZRIjQTz8n\nOUkXXTzHcxzgALdxGx10sJrVrGQlN3ETbbSxmtXpLOhznKOOunTznhpqJAtaECaJCEUJSe/1Dwfx\nVmWVtK7x0uq2ykts6JzyaiK/MmpgRyD9ST44HKSjOm8rqnryQuRJeGh1tprchpWdeN1evhr6Kjqp\nSVWlOJY4NmpLy3fUx1vxt4xI2AAX9Oge2s+2E1gSKCgWceL0008vvZziFD308Lf8LQc5yCCDKBRb\n2IIDBzZsXMIlfJkvEyGCRhMlykpW0kwztdRK8x5BmCYiFCUi+9N1+5vtBNYGcsQiXXdoGltO+ZVR\nb3rlJk7WnTRjHW0nsCaA2+4moRM8teapnAd6/kokm1QSXf1IPavdq9PXdbg6IGmdpMzXA+EHcu+b\nDDOSHDFluCus87BWNCNdeJ3edPOeECFe4RX8+NnPfpaylDu4I93e8528kzba2MEOnDgZYogznMGO\nnRbrj4StCsLsIUJRIgru9VfNLLopRXZlVIVCO3XuWENd2G127Ngz3sRLPsLR8KiVSEoscpLo3lS0\nrm1Nj+d1edlcuZkjiSPmN0rBvQP3cmvkVrwub+6WE9CUbKKXXgDs2LnceTkHOchpTvM9vkcXXfyC\nX6DRVFPNe3lv2ly+j/sYZJA4cRIkcOFiLWupp55qqiULWhCKgAhFieio7kCdHXv7ZyaJdtmVUR1V\nDvrpTx+zY6fD3cFD+iFT5iIaxFtpxCAUyyvi19eVFor8JLoPuj6YM+byyuW8MfIGMWXCSxMk6Bru\nwuvy0jWUW/CvWlWzxL6Ec5xjd8Nu/tr51/w5f04ddfTSSzXV7GEPbbSxmc2MMJJOhKullnWsSzfv\nkbBVQSg+8q+sRHirvJm9/os6Z201kcJj90AFpgpqTEMMVnhW8P3V3zfvp8pc9LUT+D/tvXt8nGWZ\n//++5zw5zOTY5tQ2PR9oaeiBxGpo1K66/jywVFlEEV0VRBdW/SKiCL/9roAouiuCoizqeur3q4i6\nrq66AiYEcUpLD5wKpScgbdr0kGSazPGZub9/3M9MJmmaJm0O0/Z655VX5pl55nnuJ2mfz9z3dX2u\nq9QY8ErcQ4r4lQ6I19qyIQH2IQX+WmtajZciZbwULlys9a8lTZqVBSuz73XgoLKmku2e7VhOi9/w\nG2YxCwsLJ05u5mai9lfGBV1FVbbaqjTvEYTJR4RiCsnGIcZZJDL06IEZAinwWl6a/E3M2TMHXTiw\nFHXlwSspsUro0T3ML5xPMpXM9mjIMKhj3kXDd8zbMnsLK15dQXe6m29WfZOUL8Wd3MnT/qepK6jD\nSlhcVnsZP/X/lDfxJhrtrxJK6KOPLrpw4symrQYISPMeQcgDRCimkKH+iXE99qpWQsdDrHl+TTZW\nUVJYAkBJsiTb21lphTvqzhr8AC7yXHRCIBtO3jEvTpwwYQ5zmKQzSTQY5RbfLexgBxYWHjzU+Guo\n1JVc5b+KK7kym7aq7K+FLMxWW5W0VUHIL0QozmGaigfSbEvKSgj4bINbDNz9bioqKyhOFHO4/7AR\nCS/gg9eVvG7Y47W+rhUYSFs9xjG2sIV22imiiDfzZu6rvY+38lZKKOF9vI9GGlnGMtKVaaJE6aYb\nL15qqaWCCgIEJG1VEPIcEYo8Z2gV2dyeD6Mhs7wV9oR51XqVB7sfzM4eujq66PR1mlRVL1CNyVji\nu1yVuCob5M5NWz3EIf6b/2YjG9nKVjrpBOASLmE96wH4A3/AiZMIETSaGDGmMY1FLMo27xEE4exB\nhOI0aKEFgFZaJ+b42+3jn6IA3mgJO8LZ1p7Xhq9Fu01wO0UKUoAHU37DDgWkSPFI/BFme2azn/20\n0cZOdnIpl+LHz//wP2xjGytZyQf4AI00UkUVxzhmjgmUUsosZmWrrUraqiCcvYhQ5CHbEttGtV/L\nwRYAWqtaT7pP6wWtfKX3K2ztMdlIadJm9pAEJ05STnNjJ0U2buHEyWbvZn7Db3iWZ4kRw4mTy7mc\nQgq5lVspoogECeLE0WhSpKinPpu2Ks17BOHcQYQiD7HSFqlUilA4dEK58UzPh9Dx0EAzolPUSxpa\nPXaOmkPSm+Tf5/87N3TewFF9lHV163gi8gTxdJx1pev4iecnzGQm7+SdNNLIClbgxMkRjpAmTYwY\n05mebd4jaauCcO6itNan3ivPWbVqld68efOknW+sS08tm+z9V598/5YtZp+75t3F67a/DhzgSDtI\ne9LgAJdycf/M+7lm9zWml7PHSao8Bcp4Ftqrhq+XlGHFAZO2em/lvdy2+zZ6CntomNXA7+O/J+aN\nATDr+CzK4+V8reJr9NNPKaX000+KFA4cVFBBFVUECUraqiCcAyilntZarzrVfjKjOA3ChOmhhxAh\nmjgzD0TLcy2Dtn98+McmZqAgrdNmSchhnNIPH3s4m8Ka8qQG10uKtZ0gFAkShAlziEP0efpw4cLl\ndfHFJV9kPevpoIMGb0PWzzC3eC6R4kh2qQlgHvOyzXskbVUQzk9EKMZIiBDbsF3NNNNO+xmLBQwU\n4ysvKM8KAAoy92aXcrG+bD1/7P6jmVEknKT0wIxirW9ttnnPMY6xla08zuNsZSvb2U64IswlXEIl\nlQA8wAMsZCEanXVBx4hRQ022eY+krQqCACIUY6aNIcX8aDulUGQrsvaEaCo5sSLrwfhBOvtNmumr\nh14FH9mg8lz/XJI6mS03/u3Ob9OT6mHD/A184vgn6E53c0/lPcS9cb7BN1jCEpw4uZVb2cEOKqig\nmWYaaWQ1q4kSpZ9+6qjLpq0uYAFBgvjxy3KSIAgnIEIxRtYypJcDI/dyCPWE2HbcnoFsaqZ9dXtW\nLELH7Zan1kCcKJVK4bE8ONwO/rzkz9zccTNAttx4kasIv8uPt9hLOBEm4o1ws/dmdrITJ04e4zF8\n+LiRGymiiDrqiBDJ9oJ242YRi7LNeyRtVRCEUyFCMUaaaKKBBnroYQMbTjmbGNoboq27LSsUbb1t\nA418bFzKxQVFFxDwmF4Ujyx6hDBhdrKTp3iKT1/wafz4uY/72F2+2xTZo5KruZpGGgETQ6mm2pwT\ni5nMzDbvkbRVQRDGigjFaRCwv0YTm8itwHpCRdagPTtxaPBAjarhoaUPsTS4lB56+AN/oJVWtrCF\nbWzjMIf5Ol9nLWt5J+9kIQtZxSpcuIgSzaatTrO/pHmPIAjjgQjFBNNU0oSvxoelLe6vvn9QjCJT\ni6k71U2RLsLtdNMR7CBMmP3s56N8FDA9GFazmkYauYALiBGjgAKWsQwLiwABZjM764KWOIMgCOOJ\nCMVpMJbSHaFYiJg/BgquC1/H0qKlrPCtIEyYLrroL+onVhSjtKqU53men/JTbuM2KqjgBm5gBSuY\nz3yiREmSzC5jzWVuNm1VmvcIgjCRyB1mgmmLtQ3yOzwYe5D3+N6DRvNpPs3OeTsBKKCA9axnLabZ\nT4QIb+ft2bTVaqqzaauZtqCCIAiTQd4JhVKqAfgOJknUAj6htX5qos7Xsr8FgNba1nE7pkbTTz9h\nwgR9wUGv/dz3c67lWhw4uJzLceLkYi6mmGIiREiTppvubPOeIEEKKJDlJEEQpoy8Ewrgq8D/1lr/\nXin1dnu7ZWqHdGpixDjOcTrppIsukiT5Nb/me77vQQ0QhWX+ZbzZ92YsLMCk2maa9zhxsoAFlFJK\nMcWStioIQt6Qj0KhAbvDDkHgwESeLFtYLxaiyTd6h3Wmec8RjrCZzTzBE2xlK8/wDPdwDw00cDEX\nkyRJo6+RC3wXYGERI0YPPRRQQB112eY9krYqCEK+ko9C8Sngj0qpr2EcBmuG20kpdQ1wDcDMmTNP\n60ShWIhtCdsMt7+Z9tr2k4pFmjT99NNDD5100k03r/Iqt3IrhzgEQA01vIW3UEwxGs0CFlBHHWlM\nd7fp9pekrQqCcDYxJUKhlHoEqBrmpVuANwOf1lo/rJS6HPgesG7ojlrrB4AHwFSPPZ1xtEWHlOOI\ntg0SiihRwoR5jdd4jMfYzGa2sY0mmriBGyimmKUs5cN8mEYaqaSSCBEsLI5ylDLKqKeeEkoopFCW\nkwRBOCuZEqHQWp9w48+glPoR8E/25kPAgxM1jrX+weU4Xu9/PUc5yhGO0EknUaLcxV1sZCNx4jhx\nsoxl1FOfjSt8gS8QJ26uC81sZmeb90jaqiAI5wL5eCc7AKwFWoE3AS9P1ImafE1c6LmQY+ljXD/9\nen7l+xW3cRs99PAtvkUxxdRSy6VcSiONXMRFKBRRonTRhRcvVVRRSSXFFEvzHkEQJpUD97YAUHN9\n64SeJx+F4mPAPUopFxDDjkNMFP2F/XQVd3GT+ybA9HpupDG7TPRJPplt3pMgkU1bDRCQ5j2CIJwX\n5J1QaK2fAFZO1vk+XfZpHuTBbCnueuqJEuUYx1AoggRZwAJKKJHmPYIgnJfknVBMNutZTy21ePCg\nUCRIUEttNm1VmvcIwvnF5i+3ALDq861TOo7RkI6FSUd7iO0L4as/8wZqJ+O8FwovXmYzO1tttYCC\nqR6SIAjCKYntC5Ho2AZoDtzTTM0/tU+YWJz3QlFifwmCIJxNxHa1gZ3eT9oitqttwoRCEvsFQRBy\nsKJhYkdfpXdXaKqHMiK+eWvJVhx1uOztiUGEQhAEwaZ3V4i+V7YRO7yXzXc257VY+Oqb8NQ14Cqf\nPaHLTiBCIQiCkKX7pYHlHJ2y7O08RGtI9ONw+XAVT5tQkQCJUQiCIGQpXZhZztEop8vezhOsOCSO\nQ/9h6DsIqTg17/giuCc+AUeEQhAEwSY4r4miWQ1YkR6WfXwDwXkT+0l9RNIpIwzRY3C8E+LHAQ0O\nt3muczMcPwArPjrhQxGhEARByMHlD+DyByZfJLSGZD/Ees2MIXIUdAqUEzyFkIrDth/A/o3mdYDA\nDFh+9YQPTYRCEARhqrBiEA9DXxf0H4JUApTDiEP3Ltj/FExbBvUt5rm9j0LNalj+IahrgqIqsKIT\nPkwRCkEQhBwm1JGdtowwRI5BXyck+kApcHrBXQgv/w46QtC5xcwglBMaPmyEorgarnoUHDllhKzY\nxI01BxEKQRCEiUKnIdEPsR4TZ4h1A9oIQDIKh7ZBtBsu/IDZf+dvIZ2ERZdCbRNUrzDLTrkk+sws\nQmtw+aCkfsIvQ4RCEARhPElGzayh/xD0d5kbPw6TnRTeb5aP9m+E7t1m/+JaWHalWXJ61/cGZzFp\nbY5n9UM6bWYTBdOgfAH4gpOS8QQiFIIgCGdGKmkvJx0xQWYrAlqB02OE4cBmWHqF+fTf8STs+AVU\nNcD8t0Nto7npK9vS5i4wcYpEvy0wCvylULIYfCXgKRrYdxIRoRAEQRgLOm1SVaPd0H/QLCuBSVtN\nJeG1J82MYf9TEO81r01fDtUXwbL3m5iDK6fJWdqyl5NiJl7hKoCSmVBQAZ5icLon/xqHIEIhCIIw\nElpDMmJnJx2EyGEjFkpBGjj8vAk0ly+Ewy9A++1QUAkzm6GuEWouhoJycyxvIOuqNoHoNDhcUDgd\nCqeZ193+qbzaYRGhEARhUnjmKy0AXPi51ikdx6hIJew4g+2Cznzad/qg9zUzW9gfgq7njddhyeXw\n+puMWLzn51Ay2+yfwYobj4S2AAf4y6B0ds5yUn53yhShEARBOMEFHTbPO9wmUylyFGpXm9nAo583\n8YjKxbD8gybOMP1Ce38nlM6x02D7TYorgLfYiEdBuXnsOLtuvWfXaAVBEMaDQS7oQznLSU5zkz/0\njB1n2Gj8DoXT4X2/NZ/8/+ZuCNSZ2UD2eGkTZ0hGQWnjiyiuMktQ3gC4vFN3reOACIUgCJOCFQ2T\nivQQ3h0iMHcKaihZMROE7u8yy0mZrCLlgJ59xrOgHNB+J7z4S2OAq1ltSmTUNg4cZ9rSgeMl+jGB\nCmVEoWw++ALmvXm+nDQWRCgEQZhwwrtD9L9q2nY+c1czF97cPvFikbaMMESOmuykRJ+ZSTg8EOmC\nA5vMjKFzi7np/91PoGKRSWVd8A6oXDJ4iSiVNLOQVMJs+4JQPs/EGzzFgx3T5xgiFIIgTDi9Q/o8\n9L7UNv5CobURg1iPmTFEjwFpUC5IxsDtg4IyeO2v8IfrzXuCs2DBu0x2UnCWea50jn289Iku6OIa\nKLSXk5ye8R1/HiNCIQjnIB3fbAGg7obWKR1HhuCQPg/B8erzcDIXtHLA0Z0D2UnHdsGKa2DlNcbs\n1vzFgaJ6GU7lgnb5z6nlpLEgQiEIwoQTmNtE4cwGUpEeFl674fRnExkXdPSoyU7KdUFbSSiaZjKY\nfvIWY3ZzuI0wrP5HmHWJOYbbb2opwYALWltmwuMvgeAi44aeIhd0PiJCIQjCabHx9hYAGr/Ymn1u\nu+2VWD6MVyLT52FMIpFZ/ol228tJdlE9h9uks3ZuMXGGA5tMZtJlPzUzgdWfNLOF6hVDXNApY56z\nYiY7yVUAwRnGBe0N5IULOh8RoRCEieQ/WszPD7VO6mnTsTCpaA/RvSH8s08/FvD0l1sAWDmRpbeH\nkozkpK12mZu7wwHaYW7oSsFfvgIvPGT295dD3RqY8bqBYyy+zPzMuKqTEYwL2m0c0IXT89YFnY+I\nUAjCOUZ0b4h4h8kw6rinmbp/ah+TWGy/qwWA5Te3jrifFQ2TjPTQvStE6Si6wZ3UkX0yF7TDbVzQ\nBzabHg1dz8IVv4Gi6TDj9abqal0TlM49tQu6pN52QRfKctJpIEIhCHnIVvtmfdEpbtbDEd01kGFE\n2iK6q+2MZhXD0b0rRPgVI0Ybv9RM463tlM5rGp1XIuuC7jZmtljvgDA4fVAYMOLwpxvNshMKKmwX\ndOYmP/MN5tu+xqwLWikTWziLXdD5iPwGBWEiiYdNumZHyHz6nQT88wYyjHC47O3Rk3uzt6JhrEgP\nvbtCg3pIH9sxON312I42nIqsV2L7Xc0sz3glMss/mV7Q0SMm9oAyP7Mu6KdMA58l7zWpqrPXGaNb\n7eoTXdCZOEMmXlFUNZC2mhuTEMYFEQpBmCg6QnDQ3Dj5QTN8uH1SxMI/uwlvXQOpaA9VH9wwptlE\nrjFu251vwLJSaODpO5tZ+YX2rFiULR6c7lq2eO2JXolnf0cgEDDikIqb7CS3H3yl5mb/Xx8zlVd1\n2nZBrzQ+BTA3/Uu+ODCwjAtap8ysoqACyubZzXvOLRd0PiJCIQgTxb7BS0Dsaxu1UGQ+1ffuDhE8\njVRShy+AwxcY85JT74u5Y05l5iXolEX3S21ZoSid10RgVgPJSA/LP7mB0jmrcCbCZMXD4SRYUgbh\nTtsFvdnMGlxeWPdVc7MvmW1+H7WNpixG7hJRpkdDxgXtDZw3Luh8RIRCECaK+sFLQGb71PTmfqr/\ncjMNn28fs1jU3dBKx70tdNzbQt31rbxwdwsASz7betL3HLu/BdU3cLPH4USnUwAop4vSXJOc1rh8\nhbg8XkoLXLDnUQKeNIXT55CKR1n093cQOPo0/PLLpuAeQGDm4N/B2ttyjicu6HxGhEIQJoq6JmP2\nivXA+g2jnk3kfqrXKYveF9tOKRSb7mgBYPUtrWcwYCgoCmSNcYs+voEdP/wEVqSHpR/fQHDWcrug\n3iHjhI71Agoi3XB0FxzYyGJfJ7t98wnMWAa9z5nObnWNZtaQWVYCIwZWzLigtbaXkyqNC9obMC1B\nZTkpbxChEISJxBsw32OITQQXDSl3sej0yl2kY2HS0R5i+0KkomGsaA/Hd4coPonopGNhdKwHv6uE\nZPlMAvUrcXkKcLncBF0J2NdqdnT5wFNM4+U3wqZvw/99p4lBOFyk8eHCMvstfZ/5zpApqpdOmOvz\nBqFsoXFBe4slbTWPEaEQhDwjmFPuYvHHN5xWjCK2L0Qi66V4A4lICisNO+5uZvFn208Qi8QrIVIH\nzP5lKI7558OeR1n597cMNO/JuKDn/a1JTXW4TQOfxevNrKFqBUVuP4szBz3BBe03fRzEBX3WIUIh\nCBPJaTqyM+UuRisSmTTWnl0hSuY1DfFSpHA5wEqbpazjO9sGhMJOW01u+z/Z/RWaWQ1vMkHjTfcZ\ncejZa/b3l5seDWCWid7zs4FBDHVBK5cxx4kL+qxHhEIQ8oRMnSQrbbZHWzajZ1eI47b5bdPtzaz+\nYvsQL4UTKxOUdrgonrUcjrxoiurZrTrdlfMGDqgcuGc1mgyljr9CUTUsfLeJM5TNO4kLOmXO5yu1\nXdBBKap3DpGXQqGUuh74JJACfqe1vmmKhyQIZ8yTX2oBYM2treN63O4hwe/uF9uY/Y7P4alrIB3p\noeqKB4hu+CcckR7mveNGij0awvuN/2D/U7Dnf/Ds30SpH5IpcNcsxVO9zBz8vQ8NvtmnLUhEbF+E\ntl3Q9bYLOiAu6HOUvPurKqXeCLwbWK61jiulpk31mARhMjmZG/pklA4JfpfOvRjCB3AoBw5/MT5n\nEqfThTtQRrHLgu0/hsZPGS9C5xboeh7q30ii4xmSrmIK/+77OUdXxuhmRU0Kq9NjlpKKpokL+jwi\n74QCuA64S2sdB9Bad03xeARhUrCiYRK9h4geOzCsG/pklNRfRHHdUqxIN8vWf44SdwwOPUPde75u\n2oC+8DD1ehd+HYFHbjKpp0veC8GZ0HgDrPksKEVRdiC5LminmS2UzRUX9HlMPgrFAqBZKXUHEANu\n1FpvGrqTUuoa4BqAmTNnTu4IBeE0sKJhkv09dL8conT+4Jt/bukMpwNS6RPd0FnSKbt5zzFTHiMe\nxuUEV6CMkrJK2PMYVK80ZrWu52DbDyiYdsHwLmiXzy6ql3FBK5OqKi5oIYcpEQql1CNA1TAv3YIZ\nUxnQBKwGfq6UmqO11rk7aq0fAB4AWLVqlR56IEHIJ7pfDhHetxWAJ/+lmTW3tQ8Si9w6SUrZH9od\nths60ws6HjbVViN2L2gcJsW0cwv1rgMECcPDV5gDXnw9lM83gnHVo+bmnyHrgraL6jk9xgyXSVt1\neSfjVyKcRUyJUGit153sNaXUdcAvbWF4SimVBiqAw5M1PkEYjp1fbwFgwf9qHdX+uaXCj+5oyz6v\nUxZHd7QNEorcntIA7mAVyz72PYLFRbD3MfNpX9m9oI+9bMxrs5rNbOCJO6n0uaDmErvaaiMEas2B\nnW7zbcUGspOU0y6qN99eThIXtDAy+bj09GvgjcCflVILAA9wZGqHJAin5qk7Wkju30bxrIYTmvSU\nLx5wVyuna9A2QGD2KgrrlpGKHAOXH6fbR9DnMHWS+ruMl6FjIxzcajKOyhcaoXC44O9+Ypr45C4R\nDeuCXjDQC1qWk4QxkI9C8X3g+0qp54AEcPXQZSdBmApSUdNetH9PiMI5JwaYYx3bUIm+7HZuBdjS\n+U04PT50ymLpP9xP6byLB3pVHD8I0WO4HBpXURlKpyhSfab2EcATX4Y9f4KSOabFZ22j6QWdITjT\njlscN9lJCtsFXWuO4S2WonrCGZF3QqG1TgAfmOpxCOcfI1VY7d8TIvqaCTa/dHczCz/bfoJYpFMW\nOpUicvBlOh9/cFAF2HlX3Y+yYihgxw+uI6AilNQtMEs+GjjyIsuXLTWzhp495oDh/eZmv+o6k85a\nNH3gZBkXtBUZKKpXOB2KFhthcBdMwG9IOF/JO6EQhMli85dbAFg1Cgf08Z2De0sc39k2SCh6doWw\nYv14nWD1HmD3D68l1wR3+PF/z+6r0xbHXmqnpG4h+Ctg1+/hz7eC02uqzS58p11ttdq8IWhn9aUS\nJm01nQSUWUYqmWX3ghYXtDBxiFAIZxXP2GUuhsYAxoORKqwWLxjcW8JsD9D5lx/jduTEhHU6G5pW\nDieV81Zy8KWnwD5K2d5fwJ5Zprpq3Rp4+7dgesPgjKNM8x4rZrbdhUYYCspN2qoU1RMmCREK4bwl\n1wHtUBCxl5Z23N3M9NnL8BUGmP6PrQAUzmnCP8O0F539kQ1mNpHTC9oROWw6wemMWCiKy6aT0A4W\nX3YLwceup7AOuqIOpi1cQ8nStw2UHvcFzQxCa3FBC3mJCIVwXtK7K0SfXUhv853NzHrjNeQuFcX7\ne/AVBga9x+kP4PQVUTh9LhzeYTwNtkmt6oJmOjc+REqbitoLKjRFxf3sUvMJzmkE/SVe+dNPiXm8\nLLj0GwMHzbigM76IgjIom2OylDxFkrYq5AUiFELeMJqieeF9myGVIrw7ROA0+jRk6H5pcCG9lIbc\nekletxur+1Xie/+Ct/oC44KO9ZrsogObTS+GZL/prwAEd/0LF1VDTwz8Pi/Tmt7Pzm1PDJxw7ltZ\nPvetZjkp1msLjDYzhbK5xgXtLZaiekJeIv8qz2GevL0FgDVfbJ3ScYyFyGvbeOHulmzmUee9LQBU\nX99KeHcIHe8HYPsda1h+y5OnLRalOQY35XRRteYqEvv+ihXtof5vP8PxX91ACs2h+9Yy/dK78VZf\nwIL33g6HnoHN3zG+hsgR+OCj5pP/BVewf/sWeuJO1nzWmOsWrP7EgAs6GTVTDacXiqvstFVxQQtn\nByIUwoSy0RarxnEQK1PmIoOm96W2YYUi/F1zzsC1Jz9ncF4TRbMasCI9LPvYDwhWz8HpdOIsKMbZ\nuYXcpj/xI3vwBXJCxwAAFqBJREFUpo9D6z+b5z3FULPKxBWwl4ZmrGHJ5+wZhLighXMMEQohb7Ci\nYaxEnFh/OPtcbt/n4MK15DovvUXlp3eitGUK6bncuAqDBB0RU247lcCrEnh1ZGBf5cA7YyUUlsDK\na00AumLR4CUicUEL5zgiFOcwI1UrnWgyM4mhLTpPhimaZ4LLB3ZuZXrrg5TXLyWx3zzX+c1mAuvv\nH/SeVzd8nMK6pScY33QsjI71YL0SwjWryV7+6bdd0J2m/zNpsGIo5YDCaRDrYYlvP0SPwksvUhHw\nEEm5KW75LN4au4nPio+an+mUnbYaNdtOr+2CzvSCFhe0cG4hQnGOknvjffJLzay5tX3SxcKKhrMt\nOjd+qZnGW9tPKhamaN7AfGHnD69lyd9+fOC5tEXftocHvSeVStH38mDjm/VKiNQBc87wd5oJXP4D\nXIHpoC3AASjTBnT/U6yq6DetPcGY1uasMzWUahs5/ttbAfAueYdJW7ViYPVDOm1mCAXTTM/ozHKS\nIJzDiFCcoxwd0h7z6Ittky8UkZ5BYzi2o+2kQjG0SJ5bpUmmINfkVtSwHp7+Q3Yfp9NJ0Xz7fakk\nxMMkn/sFueKS3Ps4ros/am7u7XfAzt8aZ7PTYwxuVRcNnHTNZ7MPp7/3PjML6e9iwAW9WFzQwnmJ\nCMU5SvmQ9phme2J5/qstAFxwU6spiJeMG2cypmJq2eKTj6F0fhOBmgVYh3ficYLH4yJ48VWEO/5K\nOtpD5Qc34KtvovBP3yZ24DkKgxXM/8iPKCytgo6QWVYC3GWziGaPqnDv/DVc/BGzWVIPS68wQeiq\nhsEGtrRl106KmWCzqwBKZprlJHFBC+c5IhTnKKXzmwjUN5Ds72HFJzeM62xi7zdaAJj9qdZhX+/e\nFSJsLzkBeEqqWfGpX1Iyr4lX7zHv9dn/8qZ9cuAYrmA1Vu9+CiumMe+jGyie20SfL4DDF8A3qxES\n/bg8PpxuL4UllRS6LDj2ErgKTc2kVx/HFbqHgBeSaXAXBHHNbDTxBF8JLHv/wCCzLugYkDbB6cLp\nJl7hDYDbP26/L0E42xGhOIdx+QO4/AFK5zdxwPYj1FzfOiHnOnBvC+lX2kkqDwef+DG58QaH2zdi\nIDuXtHLhLZtpai2lElR/5BfQfxj2tYIVY/nltxmzW88+2PEr42dYdZ1JV/UGITgDK5km5S7Gf/mP\nBqeiWnE7bdWOV/jLoHR2znKSpK0KwnCIUJyn7LFnBXNOMisYK/H+MH3xNBCj//Fv57yicBeU8Io9\nk9Ax09PB6XHjSCeJ7wvhrTcisuaWRyFx3LigX/2L6dcAJp7gKTLZS4/fDgc2mRs+CioXm/gEmOWk\nt91DdkEpbUG83zT6AeN8Lp0jLmhBGCPyP+UcJteRnetH8NWf3jLUX+2U10qnOVZkb4iC2eZY8d6D\nFLohrSGRAlVejeXwsfyTGyid18Qr97SQjoVJdGzDoTRpJ2gFh+9rpvLDD+MtrTVOZ502JrW0BV3P\nmvhDcTVc9BEjFn0HYO5bTJyhZrXJOsqg0ybOIC5oQRhXRCjylBe/1gLAohtbT+v9ub0WYvtCxPdv\nRQEHvtlMzQ3tpKIn3uwBNt9pv+8Lw5/XmQgTP2riD3v/tZnZn2nHocDV30na9pW5naD8xbiLqim1\nl5zSsTDJY/vQaJwqZ5UnbRF//j/xXvxB80n/2Z/C7j/BkR2ANqW1F77L7OtwwWUbBg/IipkYBHbz\nHn/GBR0w75XlJEE4Y0QozgNiu9rI3i7TFr1P/Zh4h7nZ7/nXZuZ8pn2QWIyEMzGQ8kraov/lNtwO\nM5MAk+HkcMCMFeuouvxbkLaI7nwsez4AK81A7wblwNvz4sBN/dhuk2G04mPGBV255CQu6KQJSPuC\nUD7fiIynWFzQgjABiFCcB/jmrc2mqeJw2Tf1wTf73Q/dDAzu0RAcEoC2omHi/XGw7Kwlh4vC+Wtx\nKHAos9rjsgWg78nvEpu9El9pLZFtPyM3uO3xuAh40yjSeJ1pvJH9Jh7hC8La/3/wLCDXBa21SWkt\nroHCSnFBC8IkIUIxhbxiB5RnDRNQznRb69sTomjO2GMKmRv+1n9egacggNvhg7TFtPfcj6d6KUcz\nAWf7Zs+235OIhAd6NNzRzKpb2rNikev07gfqaquZf90vzUwkGcVXs5T0/udyOryliO55El/9cgqi\nBwaNrcKfxuUPknAW473s21BUNXjwyejJXdAuvywnCcIkI0KRh/TtCWW7rb341WYW3dQ+JrHIbcoT\nO6wor5uPM2naaR782XWkKpbhUAqXy4mjbA6dvzazCUcmLoBxUne/2JYVimMvDi6xkdBuCopLYV8b\nWFEcSqHdPkjZbTtR+J//D3gxhd/hJlBRRcRyUPuOf8FfdyEox0B20nC9oIOLBorqiQtaEKYUEYop\nJGVnIkX3hvDnxAiO78wpv5G2OL6zbUxCkduUBzSxY6/hz/yl0xbOyCFKfBqlLPTxl4l6C43vTKdQ\nym7n6XRRmnFz6zRlc1eRdXo7nMz7209B72tmWejgFmqar2bfExuwDr1AmTtGQXktvrktJjup+iKS\nP7sBN+Cf0WAvJ4WNr0Fp44IOzsgpqicuaEHIJ0Qopojo3lA2wLvv35qp/3R7ViyKF+SU33C47O3R\nk9uUB4BEFO20V2wcLlwOnV29UWgSh3cR6T6O1wnTCyHqKWfBx39BcPos6NwGkS5K3SkCVXNIxiNc\ntO4KSo+G4Jl7oPcVc6BZa6n/wAN0bLiGqLYoe//3BwakNbMu/4ZJXY10gXJB0XTjhBYXtCDkPSIU\nU0T/rpxP/WmL/l1tWaEomtNEwYwGrGgPcz+6YcwxikxTnuTRfTii3Sa4HIdCn4vZn2pnz/evxop2\n4neD1wn9x41IVBdjzyiO4j+yFVwx2wX9GvTswVUQxFUQpPTIk3BoO1SvgMWXmVlD6VwA6q58wAxi\nOBd0Sb3tgi6U5SRBOIsQoZgiCuet5XBOZdTCeYNnDU5/AKc/cIJI5BbeGwmXP4Czop7UfpPO6lDg\ndStiB54j3PkyAN0xKPIYcfA5B2LESkH8hd/g2f1fxgWd6APl5HUfsdt+9h0y8YPcjKNcF7RSZr+S\n2VBQLi5oQTjLkf+9U4R/dhPeugbS0R5qP7RhUIxi+1daAFj+udYRjXcH7zOvVf3jia+t+rx57pn/\nvQL6DxJIdqJ0kvDD1+J2aJJps188BR7beqB1jrehoxWCVTB7nZkx1K42N38wy0aZXtAmuGFmHkVV\nA2mruZVZBUE4qxGhmEKcvgBOX2CQSAAkOraNzwmsOE6vH3fCibLLIaHTeF2QTIBSipqgCxdJCt3Q\nn3KjCyopXXcznpJaCM4cUlQvZrKTdMosHRVUmMY/vqC4oAXhHEaEIs8Z6qewoqao3vHdoWz9pmxh\nvbQFcbuoXl+neRw/TsqRU+PI4cQVnM7MxAECPoXL6yHqKKfw7bcTbfsWKIWnfo3ZN21BvM+kr4KZ\nKZTPExe0IJxnKK31qffKc1atWqU3b948eSf8jxbz80Ot43bILXZtphWfb2Xjx/2k0xa1b72RQ3/8\nCpnsp5lX3s/uH10DaDxuJ+W+VNZtXXXFd01hPdImq8hKwKFtpqjegaeI93bRl/ZR9Hf3s+sP91Ko\nw9Rf9eDAchIMFNXLdUHnLieJC1oQzimUUk9rrVedaj+ZUUwCm+xCe6uHKbT3nB2cznDo8QfBiuFU\n0Pn7u8Auj6HTFse2Pky2GZBKDarfFNv7JF5Piym7DfDLK+HoTtOjofZiYtZLpFzFeGuWccE/2JlJ\nWg+4oLVdVK+g0rigvQHTC1qWkwThvEeEIk/IlNw41P69QdlHKW3XUXK4KJu5jO5nTc/oRNoB2BFp\nFL7nfwgvb4APPmYMa02fMTf68oXgcJItxp1KmFlD2g5a+EogsNBkMXmLJW1VEIQTEKE4HeJh06O5\nI2QqnJ6CjAj07Aqd0OnNioaJ9x6k/2gnAMmjr2RTVbUGb6ASp9PJ3Hd+nqJpszj49K+x4v3Mv7AJ\nz85fErPAV1qNd+5aM5aMytTYs8l0ysQqrJjtgvZDoE5c0IIgjBoRirHSEYKDdsnsHzTDh9tHFIue\nXSGOv7IVgE13NLP6lvasWBzfbWo6WamBOFEqnSbpdOJEM+dtN5DY8V8U6jBFW/8NevYR9M6lz1dF\n8Yr30XPgaRLOYoJX/sfACbW2m/dEyMYrxAUtCMIZIEIxVvYNdlSzr21Eoeh+sS37OFNor2T2CoiH\n6d36EBkzXAblcOJyeyj0KKa/cK9JRXV6oWgeLLyUWXPWZautllz1sHmTuKAFQZhARCjGSn1OHSWH\ny94+OaWL1uJ1gt8NsZST0tIy2PsYoAlOrwdMox8PUFGgqF52CQeO9JqZwYUroXolTL9wcBvPtGVm\nDKm42c9TZIShoNzMGsQFLQjCOCJ3lLFS1wRVDSZGsX7D8LOJzPJPrBdfz0vUBTKOZ41PJUxmEVD8\nwi0smwa9cSjwOEl7Swg2XEpwxuuHHC9tjG5W1Dx2esxSUtE0cUELgjDhiFCcDt6A+c4VCStugtyR\nw9B30P60r4jteSKnmU+a2B9vxnfNn41yzH4zxw8dJuIPUPcPPxyFC3quuKAFQZh08lYolFL/C/ga\nUKm1PjLV4zkRDdFu2wV90IgEytQ88hQa/8ILD+Hb8eNB7/LNe5NJTXV6YOkV1Cy9wrwwyAWtTKqq\nuKAFQcgD8lIolFIzgLcAr070ufbf2wJA7fWtI++otSmCFw/DW74GkaOwfyPggHQCDm432/ufgr/5\nmjG+BWfiW/wOil56klhSM+1dX8ZXs8w+XsYFbRfVc3pML+hM2mpuTEIQBGEKyUuhAP4NuAn4zykd\nhRUzwtDXBf2HzKd95TBeBH859L4Kj33eOKDB3OBrVpvoNNhVVxuxXrsGF+CbNh+iR+3lJKe9nDTf\nXk4SF7QgCPlJ3gmFUurdwH6t9XY1wo1TKXUNcA3AzJkzT/t8mcJ6sX0hfDNX2XGGo3C806ScKgUO\nj9nu3AwdG42ZreFDUDjNLDGtus6IQsXiwUtEqSQk+6l59+2AMiJTtmCgF7QsJwmCcBYwJUKhlHoE\nqBrmpVuAL2CWnUZEa/0A8ACYooCnM47YvpBd0luz/543UHvZ3fiqFg3EGTzToP1OeKXNzAQASuYM\nZBm5/fD/3T9wwBFd0MVSVE8QhLOSKREKrfW64Z5XSi0DZgOZ2UQdsEUpdbHW+uB4jyM6qB1piujL\nj+Hr2gSRI/DmL5vnUwmznFTXBLUXm1nEwIWYlNVkxBxHOc3rRVVGGNwF4z1kQRCESSevlp601s8C\n2TuxUmofsGqisp78Q9qP+vf+Frxe0ws6bRnjWss/D36TFTfCoC2jMf5SKJllu6CLxAUtCMI5R14J\nxWTjq28iUFmD6u+iaOE6fEveYcx0uQa2oS5od6ERhoJyk7YqRfUEQTjHyWuh0FrXT/Q5EoUzwV1O\nxVtuz5xUXNCCIAg55LVQTAa1H/u18T5EjmL6OzjMbKFsjslo8hRJ2qogCOc1571Q4HAZ93NRlfnp\nLZaieoIgCDnIHbGgHGa+/tT7CYIgnKdIio4gCIIwIiIUgiAIwoiIUAiCIAgjIkIhCIIgjIgIhSAI\ngjAiIhSCIAjCiIhQCIIgCCMiQiEIgiCMiAiFIAiCMCIiFIIgCMKIiFAIgiAIIyJCIQiCIIyICIUg\nCIIwIkprPdVjOGOUUoeBV6Z6HGOkApiQFq9TjFzX2YVc19nFeF/XLK115al2OieE4mxEKbVZa71q\nqscx3sh1nV3IdZ1dTNV1ydKTIAiCMCIiFIIgCMKIiFBMHQ9M9QAmCLmuswu5rrOLKbkuiVEIgiAI\nIyIzCkEQBGFERCgmCaVUmVLqT0qpl+2fpSPsG1BKdSil7pvMMZ4Oo7kupVSDUuqvSqnnlVLPKKX+\nfirGOhqUUm9TSr2klNqllLp5mNe9Sqmf2a9vVErVT/4ox84oruszSqkX7L/Po0qpWVMxzrFyquvK\n2W+9Ukorpc6KTKjRXJdS6nL7b/a8UmrDhA5Iay3fk/ANfBW42X58M/CVEfa9B9gA3DfV4x6P6wIW\nAPPtxzVAJ1Ay1WMfZpxOYDcwB/AA24ElQ/b5BPAd+/EVwM+metzjdF1vBArsx9edK9dl71cMPA6E\ngFVTPe5x+nvNB7YCpfb2tIkck8woJo93Az+0H/8QuHS4nZRSK4HpwP9M0rjOlFNel9Z6p9b6Zfvx\nAaALOKXJZwq4GNiltd6jtU4A/xdzfbnkXu8vgDcrpdQkjvF0OOV1aa3/rLWO2JshoG6Sx3g6jObv\nBfAl4CtAbDIHdwaM5ro+BnxLa90NoLXumsgBiVBMHtO11p3244MYMRiEUsoBfB24cTIHdoac8rpy\nUUpdjPmUtHuiB3Ya1AKv5Wx32M8Nu4/W2gJ6gfJJGd3pM5rryuUjwO8ndETjwymvSym1Apihtf7d\nZA7sDBnN32sBsEAp9RelVEgp9baJHJBrIg9+vqGUegSoGualW3I3tNZaKTVcutkngP/WWnfk04fU\ncbiuzHGqgR8DV2ut0+M7SmE8UEp9AFgFrJ3qsZwp9gevfwU+NMVDmQhcmOWnFszs73Gl1DKtdc9E\nnUwYJ7TW6072mlLqkFKqWmvdad8wh5sqvg5oVkp9AigCPEqpPq31SYN0k8E4XBdKqQDwO+AWrXVo\ngoZ6puwHZuRs19nPDbdPh1LKBQSBo5MzvNNmNNeFUmodRvzXaq3jkzS2M+FU11UMLAVa7Q9eVcBv\nlFLv0lpvnrRRjp3R/L06gI1a6ySwVym1EyMcmyZiQLL0NHn8Brjafnw18J9Dd9Bav19rPVNrXY9Z\nfvrRVIvEKDjldSmlPMCvMNfzi0kc21jZBMxXSs22x3wF5vpyyb3e9wCPaTuamMec8rqUUhcB3wXe\nNdHr3ePIiNelte7VWldorevt/1MhzPXls0jA6P4d/hozm0ApVYFZitozUQMSoZg87gL+Rin1MrDO\n3kYptUop9eCUjuzMGM11XQ5cAnxIKbXN/m6YmuGeHDvm8I/AH4EdwM+11s8rpf5FKfUue7fvAeVK\nqV3AZzCZXnnNKK/rbsws9iH77zP0xpR3jPK6zjpGeV1/BI4qpV4A/gx8Vms9YTNbcWYLgiAIIyIz\nCkEQBGFERCgEQRCEERGhEARBEEZEhEIQBEEYEREKQRAEYUREKAThJCil+s7gva129c/tdpmFhWN8\n/x1KqdfOZAyCMF6IUAjCxPF+rfVyTBHBu8f43v/CFIcThClHhEIQToEy3K2Uek4p9Wymn4ZSyqGU\n+rZS6kW7F8d/K6XeM8whHgfmjeWcWutQTrFFQZhSpNaTIJyay4AGYDlQAWxSSj0OvB6oB5YA0zAu\n2u8P8/53As9OykgFYQIQoRCEU/MG4P9orVPAIaVUG7Dafv4huxLuQaXUn4e876dKqSiwD7h+Mgcs\nCOOJCIUgTBzvP1kBOqXUDEwcAkzHvO9M3rAEYWxIjEIQTk078PdKKadSqhJT4PAp4C/AejtWMR27\nmudo0Fq/prVusL9FJIS8RoRCEE7Nr4BnML2LHwNu0lofBB7G9AV4AfgJsAXT8e6MUUp9VSnVARQo\npTqUUv88HscVhNNBqscKwhmglCrSWvcppcoxs4zX2yIiCOcMEqMQhDPjt0qpEkwf8C+JSAjnIjKj\nEARBEEZEYhSCIAjCiIhQCIIgCCMiQiEIgiCMiAiFIAiCMCIiFIIgCMKIiFAIgiAII/L/ADOmApJv\n/gBlAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "make_a_PLR_plot(data, band_names, band_names, data_emcee['ID'], \n",
    "                [[0.0, 1.0, 1.0], \n",
    "                 [0.0, 1.0, 0.0], \n",
    "                 [1.0, 0.5, 0.0]],\n",
    "               band_offsets=np.array([-8, -4, 0, 4, 8]),\n",
    "               a=a_inf,\n",
    "               b=b_inf,\n",
    "               c=c_inf,\n",
    "               s=s_inf,\n",
    "               save_fig='JHK_PLR_shaded')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dereddened magnitude fits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 175,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def make_a_dereddened_plot(data, band_names, band_wavelengths, ID, Rv):\n",
    "    \"\"\"Makes a dereddened magnitude plot.\"\"\"\n",
    "    # Make ID into an array to iterate over if it isn't already\n",
    "    if type(ID) != np.ndarray:\n",
    "        ID = np.asarray([ID]).flatten()\n",
    "    \n",
    "    # Get some deets\n",
    "    N_bands = len(band_names)\n",
    "    #the_V_band = band_names.index('V')\n",
    "    inverse_wavelengths = 1 / np.asarray(band_wavelengths)\n",
    "    \n",
    "    # Cycle over stars\n",
    "    for a_star, star_i in zip(ID, range(N_good)):\n",
    "        \n",
    "        # First, grab all their data\n",
    "        m_exp = np.zeros(N_bands)\n",
    "        m_sigma = np.zeros(N_bands)\n",
    "        A_inf = np.zeros(N_bands)\n",
    "        A_inf_u = np.zeros(N_bands)\n",
    "        A_inf_l = np.zeros(N_bands)\n",
    "        m_inf = np.zeros(N_bands)\n",
    "        A_SandF = np.zeros(N_bands)\n",
    "        A_SFD = np.zeros(N_bands)\n",
    "        m_SandF = np.zeros(N_bands)\n",
    "        m_SFD = np.zeros(N_bands)\n",
    "        m_guess = np.zeros(N_bands)\n",
    "        \n",
    "        for a_band, a_band_number in zip(band_names, range(N_bands)):\n",
    "            m_exp[a_band_number] = data.iloc[[a_star]]['m_exp_' + a_band] - data.iloc[[a_star]]['M_inf_' + a_band]\n",
    "            m_sigma[a_band_number] = data.iloc[[a_star]]['m_sigma_' + a_band]\n",
    "            A_inf[a_band_number] = data.iloc[[a_star]]['A_inf_' + a_band]\n",
    "            A_inf_u[a_band_number] = data.iloc[[a_star]]['A_inf_' + a_band + '_u']\n",
    "            A_inf_l[a_band_number] = data.iloc[[a_star]]['A_inf_' + a_band + '_l']\n",
    "            m_inf[a_band_number] = m_exp[a_band_number] - A_inf[a_band_number]\n",
    "            \n",
    "            A_SandF[a_band_number] = data.iloc[[a_star]]['A_SandF_' + a_band]\n",
    "            m_SandF[a_band_number] = m_exp[a_band_number] - A_SandF[a_band_number]\n",
    "            \n",
    "            A_SFD[a_band_number] = data.iloc[[a_star]]['A_SFD_' + a_band]\n",
    "            m_SFD[a_band_number] = m_exp[a_band_number] - A_SFD[a_band_number]\n",
    "            \n",
    "            m_guess[a_band_number] = (m_exp[a_band_number] \n",
    "                - good_extinctions[star_i] \n",
    "                * (data_emcee['precalculated_a_i'][a_band_number]\n",
    "                + data_emcee['precalculated_a_i'][a_band_number] / guess_Rv))\n",
    "            \n",
    "        # Next, make some sick plotz\n",
    "        # First, plot the stars\n",
    "        plt.figure(figsize=(5, 5))\n",
    "        plt.errorbar(inverse_wavelengths, m_exp, fmt='ro', \n",
    "                     yerr=m_sigma, ms=5, mew=1, mec='k', \n",
    "                     label='Reddened \\nmagnitude')\n",
    "        \n",
    "        dereddened_errors = [m_sigma + A_inf - A_inf_l,\n",
    "                             m_sigma + A_inf_u - A_inf]\n",
    "        plt.errorbar(inverse_wavelengths, m_inf, fmt='ko', \n",
    "                     yerr=dereddened_errors, ms=5, mew=1, mec='k', \n",
    "                     label='Dereddened \\nmagnitude')\n",
    "        \n",
    "        plt.plot(inverse_wavelengths, m_SandF, 'bs', \n",
    "                     ms=5, mew=1, mec='k', \n",
    "                     label='S and F \\nmagnitude')\n",
    "        \n",
    "        plt.plot(inverse_wavelengths, m_SFD, 'ys', \n",
    "                     ms=5, mew=1, mec='k', \n",
    "                     label='SFD \\nmagnitude')\n",
    "        \n",
    "        plt.plot(inverse_wavelengths, m_guess, 'ms', \n",
    "                     ms=5, mew=1, mec='k', \n",
    "                     label='Guess \\nmagnitude')\n",
    "        \n",
    "        # Next, plot a CCM fit line\n",
    "        fit_points = 50\n",
    "        x_fit = np.linspace(min(band_wavelengths), \n",
    "                            max(band_wavelengths),\n",
    "                            num=fit_points)\n",
    "        a_i_fit, b_i_fit = calculate_extinction_coefficients(x_fit)\n",
    "        m_dered = np.mean(m_inf)\n",
    "        y_fit = float(data.iloc[[a_star]]['A_inf_V']) * (a_i_fit + b_i_fit / Rv) + m_dered\n",
    "        plt.plot(1 / x_fit, y_fit, 'r-', label='CCM fit')\n",
    "        \n",
    "        # Plot dereddened magnitudes (the mean inferred one)\n",
    "        plt.plot([0.3, 2.5], [m_dered, m_dered], 'k--')\n",
    "        m_dered = np.mean(m_SandF)\n",
    "        plt.plot([0.3, 2.5], [m_dered, m_dered], 'b-.')\n",
    "        m_dered = np.mean(m_SFD)\n",
    "        plt.plot([0.3, 2.5], [m_dered, m_dered], 'y-.')\n",
    "        m_dered = np.mean(m_guess)\n",
    "        plt.plot([0.3, 2.5], [m_dered, m_dered], 'm-.')\n",
    "        \n",
    "        # Pop some labels on\n",
    "        plt.title('Dereddened magnitude plot for star {}'.format(a_star))\n",
    "        plt.xlabel('Inverse wavelength')\n",
    "        plt.ylabel('m - M')\n",
    "        plt.xlim(0.4, 0.9)\n",
    "        plt.legend(loc='center left', bbox_to_anchor=(1.0, 0.5),\n",
    "                   ncol=1, edgecolor='k')\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 176,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JMcZcAERxzn3r7D8FYDHnvFmDv4w1Tkyr1cLf3x/FxcX4+OOPERYWBjEtiNkm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\n/g8Su3VNWXmeZAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OdPeLykrpHtuePcD+/UBJidRhe8qUv0tuxsYtH4cxxroYTnT6rLxc6t/23XdS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\nL7PLXAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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EWAA9AHyrPW4C4CshxEFD5ZOxdkk3oHvrVqmN7Y8/pPa3BQuk0puPj7FzyFibYbBAJ4SY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\nv5frX3vtNae6luZRKpVm/fr182u5nN6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9+vXrn5eXN+CVV1459kCv0RgtukyPmU0HLgC+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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Smr09MG2aFNgmTwZsbY1dUsY6LQ50jHU2t28Dhw79VmvLz5fSR4yQpriZNg0IDuaGJIy1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\nJToREQk0JToREQm0/wfKE7Ko6YllWQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BqZmSsQ6m3SY6IrIAMAnAombKzQIwCwD69+/fBpEx1slUVACxsVJy++476ZaAgADg7beB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\nREJNiU5ERELt/wEINmX4eT7PAgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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XmJOTI09KSjJ48GfaME50reHuXeDwYanZ0dMT6NEDmD4dOHBAull782bg2jUg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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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L5s2b56DujLJ48eKcBQsW2Ht6erqJxeLaWuaqVatyzp49a+rs7Oxx+PBhc2tr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\nc6IzM7NMc6IzM7NMc6IzM7NM+39Dp2WuGiDumQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JbvhwYPduICyMExzr1DjRMdbVaRqZ/Oc/f1VRcgmOGRBOdIx1VeXlwPbtUoLLz5camezf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\nUFOiExGRUPt/F1eYq3O5VvoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BwKpVwKRJgImJviNkTKc40THWXl27BnzxhVSCy8gAevYEFi0CXn6Z+72xDoUTHWPtSVmZ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\nJToREYk1JToREYk1JToREYm1/we/7aCk4PEMLwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ks7O+o2SMdWMmJib1pSmZTFY/pJdcLodKpaKIiAjHsWPHlp44cSIjNTXVJDQ0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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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XQ6vVUnR0tNuYMWPKDh06lJmWlmYZERHR4v1CCoVCyPQ/rBUKBTQaTYsX+uVy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\nSzQnOjMzSzQnOjMzSzQnOjMzS7T/B4oh0ZfziplNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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O+VUASQCCmtnPDs75cM758P79+5szZEIIIT2U2UpoAMAYG8A5v8wYGwzh+tmoJqv8AGAL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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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lchw4fBgRERGIjo7Gh15eCAwM5IYojKmFhoZ2/+677yxlMpmQyWTYsGHDtYCA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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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C/9XJ4EXffkL6ovJyoVamn9QuXwZUKmG5SCQ05Z84EViyREhoQUF06pGQVlCiI8SYdLW0\nS5eEZHbpkjDpNxCxsQHGjgWeflpIZkFBwqlIqdRoYRPSn1CiI6S3lJYKtTJdMtPV0ioqhOWMAV5e\nwo3WTz8tJLexYwE3N6qlEdINlOgI6Wl1dUBGRtOkdvkykJPTWMbWVkhizzzTmNACAqiWRogBUKIj\npKs4B27cEJKY/pSW1niztUQC+PgADzwgtHQMDBROPbq4UC2NkF5CiY6Qzrh7V2gcIpc3TWp37zaW\ncXUVEtmMGUINLTBQSHKmpsaLmxBCiY6QJqqqhBqZLqnpEtuNG41lhgwRktiCBcLpxsBA4a+dnfHi\nJoS0iRIdGZzq6oArV4RElpramNQyM4WWkIBQE/P1BaZMaZrQRo6k046E9COU6MjAptEAV682JjPd\n3/T0xutoIpHQ2jEgAFi4UPgbECB0kUU3WhPS79H/YjIw6O5HS01tOimVQHV1Yzl3d+EetFmzGmto\nPj6AubnRQieEGBYlOtK/6BKaQiEkMt3ftDTh+pqOq6uQ0CIjhb8BAYCfH42XRsggRImO9E1qtXDK\nMS2tMaEpFEINTT+hubgIiewvfxESmb+/8NfGxnixE0L6FEp0xLhqa4VGIQqFkNR0CS09XVimM3Kk\nkMCmTGlMZpTQCCGdQImO9A6VSqiNpaU1TgqF0KejRiOUYUy4hubnJ9yL5ucntHr09aUhZQghXUaJ\njvQczoFbt5omM11yy81tLCeRNLZyjI5urJ3JZC26wNJoNIiPj0dSUhJCQkIwc+ZMiGm0a0LIPaBE\nR+6dWg1kZwtJTJfIdH/v3GksZ2kptGicPFn4q6udeXoCJiYd7kaj0WDu9OnIO30aD9fXY5WVFfZM\nmICvT5ygZEcI6TRKdKRtpaXCtTKlsvGvUilcU9PdgwYAw4cLCWz+fCGh6ZKaq6twj1oXxcfHI+/8\neZyrr4cJgNUqFSacP4/4+HhERUV1//URQgYFSnSDnUYj1M7S05tOSiVQWNhYTiwWamLe3sAf/ygk\nMl1Ss7U1SGhJSUl4uKICurqfCYDpFRVITk6mREeMijE2fMSIER8DCADQ9V9zpCfUA5AXFRU9xzm/\n2VoBSnSDRUlJ00SWkSH8zcxs2rrRzk5IZjNmNCYyb29gzJhe75w4JCQEqywtsVqlggmAOgAnLC2x\nOji4V+MgpLkRI0Z8HBsb6/vSSy/dMTMz48aOZzCrqalhO3fu9Nu4cePHAOa0VoZxPjA+o3HjxvHE\nxERjh2FclZVC4srIaDmVlDSWMzEBPDyEBCaTCX9107Bhxou/Gd01uhvnz2N6RQVOWFrCla7R9WtT\npkwBAPz8889GjeNeMMYucM7H6c9zdHS8ev36dUpyfURNTQ1zc3OzLSwsHNPacqrR9Td1dULPIFeu\nCAlM9zcjo2nLRgBwdhaSV3S00MpRl8zc3ftFH45isRhfnziB+Ph4JCcnY3VwMLW6JH2FiJJc36H9\nLNo8hdz3j3aDkUYDXL8uJLHm07VrjfedAcDQoUKtbMoUIZnpamiengOiuyuxWIyoqCi6JkcI6TJK\ndMaiVgM5OcKpxszMxkSWmSl0faXfqtHSUkhiISFCy0Yvr8akZm9PQ8YQMgjFxsY6HjlyxF4kEnGR\nSIRdu3Zdj4yMrOjJfcybN889KiqqdPHixXeazz937py1tbW1BgCeeOKJ4hUrVrTaEKQvoERnSLW1\nQotGXTLLzBR6AsnMFGpm+slMKhVqYQEBwCOPNCYzLy/A0ZGSGSGkwalTpyxPnDgx9PLlywoLCwte\nUFAgqamp6dWDxNq1a280T4B9lcESHWPsUwBRAG5yzgO08+wA/BuAO4BsAI9xzlu8UYyxpwCs0D5d\nyznfb6g4e4RS2didlS6RZWUJNTbdIJ6AcCrR0xMYOxZ49FEhiXl4CH+dnCiZkQFNo9GgpKQEKpUK\ncXFxdL21G/Ly8kzs7OzUFhYWHACcnJzUrZXbvHmzw969e4fV1dUxd3f3msOHD1+ztraunzdvnru1\ntbUmJSXF8tatWyZr1qy5sXjx4jv19fV4+umnRyUkJAxxdnauNTExqW9tu/2NwVpdMsYeBKACcEAv\n0W0EcJtzvoEx9hYAW855bLP17AAkAhgHgAO4ACCstYSoz6itLmfMAE6cEB7b2QnJzMND+Kv/ePhw\nSmZkUNJoNJg+fTpOnz6N+vp6WFlZYcKECTjRD1rQttHqMruwsLDYWDGVlpaKJkyY4FNdXS164IEH\nyhYuXHj7j3/8o6p5ucLCQrGjo6MGAJYtW+Y8YsQI9dtvv31z3rx57pWVlaK4uLirycnJ5nPnzvXM\nycmR79+/f+ju3buHJSQkXLlx44ZJYGCg/7Zt2653dOrywIED18LDw6ua7783OTo6OhQWFrq3tsxg\nNTrOeQJjrPlO/wRgivbxfgA/A4htVmY6gJOc89sAwBg7CWAGgC8MFGr3rV8PrFsnJLShQ40dDSF9\nTnx8PM6fP4967RkOlUqF89TLTZfZ2NjUy+VyxfHjx61//PFH66eeespj5cqVN5YtW1aiX+7ChQsW\nK1eudCkvLxdXVFSIJ0+eXKpbNmfOnLtisRhhYWHVJSUlJgDwn//8x/qxxx67LZFI4O7uXhcREVHe\nVgz96dRlb9/RP4JzXqB9XAhgRCtlXADot5O/oZ3Xd4WGAmFhlOQIaUNSUhIqKpq2k6jQ9nJDukYi\nkSAqKqp8y5Yt+Zs2bcr55ptvWnRR9MILL4zesWNHTkZGhiI2Nja/pqam4Zhvbm7ecDpvoNxP3Raj\ndV3DhXe2W+8uY+wFxlgiYyzx1q1bPRQZIaSnhYSEwNLSssk8S0tLBFMvN12SkpJidvnyZTPd86Sk\nJAtXV9fa5uUqKytFo0aNqqupqWGHDh2y62i7kydPLj98+LCdWq3G9evXTc6dO2fd07EbQ2+3uixi\njDlxzgsYY04AWmuOmofG05sA4ArhFGcLnPM9APYAwjW6ng2VENJTZs6ciQkTJrS4Rjdz5kxjh9Yv\nlZWViZctWzaqrKxMLBaLubu7e83+/fuvNy/31ltv5YeHh/va2dmpQ0NDVSqVqt0Lok8++eTdH3/8\ncYinp2eAs7NzTUhISIvrfv2RQbsA016ji9NrjLIJQIleYxQ7znlMs3XsIDRACdXOugihMcrt9vZF\nXYAR0rdpNBoEBwdDpVJh+/bt/abVZV9sjEJaMkpjFMbYFxBqZg6MsRsAVgHYAOBLxtizAK4DeExb\ndhyAv3DOn+Oc32aMrQHwu3ZTqztKcmRg64/9I5KWxGIx7O3tYW9vP+gaoDg4uAaVlOQ1Od7a27uo\ni4tvpBgrpsHEkK0uF7axaGorZRMBPKf3/FMAnxooNEII6VVCkuPN5jHqsKOX0DhKhBBCOrRx48Zh\nO3bssAeAbdu22WdnZ5t0tE5zLi4ugQUFBb2e4OkXBSGEkA7FxMQ0NG3/7LPPHIKDg6vc3d3r2lun\nr6AaHSGE9EPp6emmo0eP9p83b567u7t7wJw5c0Z/88031qGhoT5ubm4Bp0+flp4+fVoaHBzs4+vr\n6xcSEuKTkpJiBgDl5eWiWbNmjfHw8PCfNm2ax9ixY30SEhKkACCVSkOWLl3q4u3t7RcUFOSTm5sr\nAYDXXnvNeeXKlSP27t1rK5fLpYsWLRrj4+Pjp1KpmH5NLSEhQRoeHu4NCD2z3H///V6enp7+8+fP\nd9Nv/Lhr1y67wMBAXx8fH7/HH3/cTa1utRezHkGJjhBCDMze3kUNMOhPwrzuyc3NNY+NjS3KysqS\nZ2VlmX/++ef2iYmJynXr1t1Yt26dU1BQUPXvv/+uTEtLU6xatSovJibGFQA2bdo0bOjQoZqsrKzU\n9evX5ykUioabHKuqqkQRERGq9PR0RUREhGr79u1NRmNevHjxnYCAgMoDBw5cVSqVCisrqzab7r/1\n1lvOERERqszMzNS5c+feLSgoMAWAixcvmh8+fNguMTFRqVQqFSKRiH/44Yf23X0/2kKnLgkhxMAM\n1brSxcWlRtfHpEwmq4qMjCwTiUQIDQ2tXLt2rfPt27fF8+fPH52dnW3OGON1dXUMAM6ePWv18ssv\n3wSA8ePHV8tkskrdNk1MTPiCBQtKASAsLKzi1KlTQ7oa37lz56yPHj2aCQALFiwoXbJkiQYAjh8/\nbi2Xy6VBQUG+AFBdXS0aPny4wap0lOi6SaPRID4+HklJSQgJCek39wYRQvo/U1PThtqUSCRq6NZL\nLBZDo9Gw2NhYl8mTJ5efPHkyKz093TQyMtK7o21KJBIuEol0j6FWqzvsiV4sFnNdP6ZVVVUdnink\nnLPo6OiSnTt35nVUtifQqctu0Gg0mDt9Olb96U+oXLkSqxYuxNzp06HRHwGcEEKMpKysTKzrGmz3\n7t0OuvkRERGqQ4cO2QLAhQsXzDMyMizuZbtWVlaa0tLShl/0rq6utWfOnJECwJdfftnQ5+bEiRPL\n9+3bZ6+dP6SsrEwMADNmzCiLi4uzzcsT7i0sKioSZ2RkmHb9lbaPEl03xMfHI+/8eZyrr8d7AM6p\nVLih7ZGdEEKMLTY2tvDdd9919fX19dNv7PHmm2/eKikpkXh4ePgvX77cxdPTs9rW1rbTv9AXLVpU\nvHTpUjddY5SVK1fmx8TEjAoICPAVi8UNtcwNGzbknzlzxsrT09P/6NGjtk5OTrUAEBYWVr1ixYq8\nqVOnymQymV9kZKQsNzf3nm9X6CyDdgHWm4zRBdiaNWtQuWoV3tN7D5czBsvVq7FixYp21iT3gnpG\nGTj642c5ELsAU6vVqK2tZVKplKemppo9/PDDsqysLLn+iAb9jVG6ABsMQkJCsMrSEqtVKpgAqANw\nwtISq6lHdkJIH1ZeXi6aNGmSd11dHeOcY8uWLdf7c5LrCCW6bpg5cyb2TJiACefPY3pFBU5YWsKV\nemQnhPRxtra29XK5PM3YcfQWSnTdIBaL8fWJE4iPj0dycjJWBwdTq0tCCOljKNF1k1gsRlRU1KDr\njZ0QQvqLAZPo0tPTMWXKFGzduhXBwcE4deoU1q5d26Lc7t274e3tje+++w6bN29usfzgwYMYOXIk\n/v3vf+ODDz5osfzw4cNwcHDAvn37sG/fvhbLv//+e0ilUuzatQtffvlli+W6i/Dvv/8+4uLimiyz\nsLBoaLG5Zs0a/Pjjj02W29vb48iRIwCA5cuX49dff22y3NXVFZ999hkA4JVXXkFycnKT5TKZDHv2\n7AEAvPDCC8jIyGiyPDg4GFu3bgUAPPHEE7hx40aT5REREXjvvfcAAPPmzUNJSUmT5VOnTsU777wD\nQDitW1VV1WR5VFQU3njjDQCNjRL0PfbYY3jppZdQWVmJWbNmNczXvY59+/bh6aefRnFxMf785z+3\nWP/FF1/E/PnzkZubiyeffLLF8tdffx2zZ89Geno6lixZ0mL5ihUr8Ic//AHJycl45ZVXWixfv349\n7rvvPpw9exb/8z//02I5ffc6993LyMho8fn31e8eGRjo9gJCCCEDGt1eQPq8/tgknbSuP36WffX2\ngtjYWMcjR47Yi0QiLhKJsGvXruuRkZEV4eHh3jdv3jQxNzev15YrWLx48R2xWBzm5eVVpVarmVgs\n5gsWLChZuXJl0UBpU0C3FxhYf/zP219oNBqUlJRApVIhLi6OGvsQAuDUqVOWJ06cGHr58mWFhYUF\nLygokNTU1DR01XXgwIGrDz74YKX+OmZmZvVKpVIBAHl5eZLo6OgxZWVl4i1btuT3dvy9jU5dkj5L\no9Fg+vTpUCgUyM7OxsKFCzGdulgjBHl5eSZ2dnZqCwsLDgBOTk7qexkbzsXFRf3xxx9n7927d7iu\nj8qBjBId6bPi4+Nx/vx56P4jqlQqnKcu1gjBI488Upafn2/q7u4e8MQTT4z6v//7Pyv95bqx4nx8\nfPwKCwtbPQXi5+dXq9FooOtvciCjREf6rKSkJFRUVDSZV1FR0aJFHyGDjY2NTb1cLlfs2LHj+rBh\nw9RPPfWUx7Zt2xrGc9ONFadUKhWOjo6D/hQIJTrSZ4WEhMDS0rLJPEtLSwRTF2uEQCKRICoqqnzL\nli35mzZtyvnmm29sO16rkUKhMBWLxXBx6f4AsH0dJTrSZ82cORMTJkyAbmwsKysrTKAu1ghBSkqK\n2eXLl810z5OSkix0w/F0Rn5+vuT55593W7x48U3d/6+BbMCfmyX9l1gsxokTJxAcHAyVSoXt27dT\nq0tCIIwzt2zZslFlZWVisVi79DbUAAAgAElEQVTM3d3da/bv33+9vXVqampEPj4+frrbC+bPn1+y\natWqot6K2Zgo0ZE+TSwWw97eHvb29tTNGiFakyZNqkxKSlK2tuy3335Lb22+RqO5YNio+i5KdISQ\nXjNY7zV1dnYIKigoaXK8dXKyV+fnF6cYK6bBhBIdIYQYWEFBieT06abzHnqohI6/vWTgX4UkhBAy\nqFGi6yZdF1XXr19HXFwc9dpBCBmQNm7cOGzHjh32ALBt2zb77Oxsk3vdhouLS2BBQUGv12Sp6twN\n+l1U1dfXY+HChZgwYQJOnDhBLQMJIQNKTEzMLd3jzz77zCE4OLjqXrodMyaq0XUDdVFFCOkMJyd7\n9UMPAfqTk5N9t27UTk9PNx09erT/vHnz3N3d3QPmzJkz+ptvvrEODQ31cXNzCzh9+rT09OnT0uDg\nYB9fX1+/kJAQn5SUFDMAKC8vF82aNWuMh4eH/7Rp0zzGjh3rk5CQIAUAqVQasnTpUhdvb2+/oKAg\nn9zcXAkAvPbaa84rV64csXfvXlu5XC7VdTOmUqmYfk0tISFBGh4e7g0AhYWF4vvvv9/L09PTf/78\n+W76o+Xs2rXLLjAw0NfHx8fv8ccfd1OrDXffOiW6bqAuqgghnZGfX5zCOb+gP/VEi8vc3Fzz2NjY\noqysLHlWVpb5559/bp+YmKhct27djXXr1jkFBQVV//7778q0tDTFqlWr8mJiYlwBYNOmTcOGDh2q\nycrKSl2/fn2eQqFo6IKoqqpKFBERoUpPT1dERESotm/fPkx/n4sXL74TEBBQqetmzMrKqs2x3t56\n6y3niIgIVWZmZurcuXPvFhQUmALAxYsXzQ8fPmyXmJioVCqVCpFIxD/88EP7trbTXXTqsht0XVSp\nVKqGedRFFSGkt7i4uNSEh4dXAYBMJquKjIwsE4lECA0NrVy7dq3z7du3xfPnzx+dnZ1tzhjjdXV1\nDADOnj1r9fLLL98EgPHjx1fLZLKGIX1MTEz4ggULSgEgLCys4tSpU0O6Gt+5c+esjx49mgkACxYs\nKF2yZIkGAI4fP24tl8ulQUFBvgBQXV0tGj58uMGqdJToukHXRdXp06dRX19PXVQRQnqVqalpQ21K\nJBLB3NycA0JHCxqNhsXGxrpMnjy5/OTJk1np6emmkZGR3h1tUyKRcF23YBKJBGq1mnWwCsRiMddd\nwqmqqurwTCHnnEVHR5fs3Lkzr6OyPYFOXXaDrosqPz8/uLu744svvqCGKISQPqOsrEys6wNz9+7d\nDrr5ERERqkOHDtkCwIULF8wzMjIs7mW7VlZWmtLS0oYDnaura+2ZM2ekAPDll182dC49ceLE8n37\n9tlr5w8pKysTA8CMGTPK4uLibHVDBBUVFYkzMjJMu/5K20eJrpt0XVS5ubkhKiqKkhwhpM+IjY0t\nfPfdd119fX399Bt7vPnmm7dKSkokHh4e/suXL3fx9PSstrW17fS9UYsWLSpeunSpm64xysqVK/Nj\nYmJGBQQE+IrF4oZa5oYNG/LPnDlj5enp6X/06FFbJyenWgAICwurXrFiRd7UqVNlMpnMLzIyUpab\nm3vPtyt0FtNvBdNbGGMvA3geAAPwEed8a7PlNgA+AzAKwunV9znne9vb5rhx43hiYqKBIm7flClT\nAAze7o0Mjd5fYkyMsQuc83H68xwdHbMLCwuLjRVTd6nVatTW1jKpVMpTU1PNHn74YVlWVpZcd+qz\nP3J0dHQoLCx0b21Zr1+jY4wFQEhy4QBqARxnjMVxzjP1iv0VgIJzPpsxNgxAOmPsc855p4ehIIQQ\n0rry8nLRpEmTvOvq6hjnHFu2bLnen5NcR4zRGMUXwHnOeSUAMMb+A+BRABv1ynAA1owxBsAKwG0A\nA35wQEII6Q22trb1crk8zdhx9BZjJDo5gHWMMXsAVQBmAWh+znEHgGMA8gFYA5jPOa/v1ShJn0Gn\nLAkh3dHrjVE452kA/g7gBwDHASQDaH4RdLp2vjOAYAA7GGMt7uVgjL3AGEtkjCXeunWr+WJCCCHE\nOK0uOeefcM7DOOcPArgDIKNZkcUAjnJBJoBrAHxa2c4ezvk4zvm4YcOGNV9MCCGEGCfRMcaGa/+O\ngnB97l/NiuQAmKotMwKAN4CrvRkjIYSQgcFYPaMc0V6jqwPwV875XcbYXwCAc/4hgDUA9jHGLkO4\nBSGWc95nm/LSNSRCSG/Lzc2VvPTSSyOTkpKsbGxs1CYmJvy1114rXLRo0V1jx9bXGCXRcc4ntTLv\nQ73H+QAe7tWgCCGkn6ivr8fs2bM9H3/88ZLvvvvuGgBkZGSYfvXVV0ONHVtfRD2jEEJIP/Pdd99Z\nm5iYcP0x4mQyWe3bb799ExAGRl20aNEo3bKHHnrIMy4uzhoAjh49OiQ4ONjHz8/Pd+bMmWNKS0tF\nAPDSSy+5eHh4+MtkMr8XXnjBFQA+/fRTWy8vL39vb2+/cePGddhPZl9FnToTQkg/c/nyZYuxY8dW\ndlyyqYKCAsn69eudEhISMoYMGVL/9ttvO65Zs2bEG2+8cfP777+3vXr1qlwkEqG4uFgMABs2bHD6\n4YcfMkaPHl2nm9cfUY2OENIrRjmOAmOsyTTKcVTHK5IOPfnkk6O8vb39AgICfNsr9/PPP1tmZWWZ\nh4eH+/j4+PgdOnTIPicnx9Te3l5jZmZWP3/+fPf9+/cPtbKyqgeAcePGqf7f//t/7ps3b3Yw5MCo\nhtZmjY4xFtreipzziz0fDiFkoMotysVpnG4y76Gih4wUTf8WGBhY9e233zaMEnDw4MGcgoICybhx\n43wBYagd3bA5AFBTUyMCAM45HnjggTLddT19ycnJaceOHRty+PBh2w8++GD4uXPnMv71r3/l/PTT\nT5bHjh2zCQsL87tw4YLC0dGx050/9xXt1egSAewD8L522qw3vW/wyAghhLRq9uzZ5TU1Nezvf/97\nww3EKpWq4Xju4eFRm5qaKtVoNMjMzDS5dOmSJQBMmTKlIjEx0Uoul5sBQFlZmejSpUtmpaWlIu0g\nraUffvhhrlKplAJAamqqWWRkZMXWrVvzbW1t1VevXjXYUDqG1N41utcA/BlCN12HAHzNOVe1U96o\nKtMrkTQlqcX8MevHwOY+G5SeLcXV/7kK793ekHpLUfxdMXI353a43ebl/Q/7w9TBFAX7ClC4rxDn\nzp5DTV1Nk3XMTMww8b6JANCifMjPIQCAnPdzUBJX0uH+9cuX/VqGgCMBAICry6+i9NfSdtc1sTdp\nUr6upA7ee4TryekvpKMyo/1T/FKZtEl5E3sTjHlvDABAPk+OupK6dte3ibBpUn5IxBCMekM4VdXa\nZ9WcfZR9k/KOTzvC6Wkn1BbXIvXPqR2u37z8yNdHwmG2AyrTK5G+JL3D9ZuXb/5d6oihv3sd6Wvf\nvdZswZZWvwt96bvXF4lEInz33XdZf/3rX0du27bN0c7OTi2VSjXvvvvuDQCYNm2aaufOnTWenp7+\nnp6e1X5+fpUA4OzsrN69e3f2ggULxtTW1jIAWLVqVZ6NjU19VFSUZ01NDQOANWvW5ALAq6++6pqd\nnW3GOWcPPPBA2cSJE6uM9Zq7o81Epx06ZytjbAyABQB+ZIxdB7Cec57cWwH2dTV1NQhGcJN5yXX0\n9hBCDMvNza0uLi6u1V9cIpEIx44da3F6EgDmzJlTPmfOnBYdOl++fLnFvB9++CGr+5EaX6fGo2OM\n+UNIdk8CiOGcf2nowO6VscajY4y1vO6Ah2CMcf4GolGOo5Bb1LT2M3LESOQU5hgpItJV/fWz7Inx\n6JwdnIMKSgqaVCyc7J3U+cX5KT0V52DXpfHo9GpyfwKQC+H05XrOeb+supL+iRowDBx9PaEZUkFJ\ngaTF97jkIbq9q5e01xglE8BjEEYY+BXCaN8vMsZeY4y91hvBEUII6Rs2btw4bMeOHfaAcEN6dna2\nyb1uw8XFJbCgoKDXE3x7O1wNYQBUQBj8lLRi5IiRLWoYI0eMNFI0hBBiGPq9sHz22WcOwcHBVe7u\n7u23Cuoj2muM8m4vxtFvDebTMYQQ40lPTzedMWOGV2hoaMWFCxesxo4dW/HMM88Ur1692qWkpESy\nb9++qwDw6quvjqqpqRGZm5vX79u371pQUFBNeXm5aP78+e7p6ekWY8aMqS4qKjLZsWNHzoMPPlgp\nlUpDnn322Zs//PCDjbm5eX1cXFzmyJEj1a+99pqzlZWVZvTo0bVyuVy6aNGiMebm5vWJiYlp3t7e\nAYmJiWlOTk7qhIQE6RtvvDHyt99+Sy8sLBTPmzdvTFFRkWlYWJhKv+3Crl277D744IMRdXV1LDQ0\ntOLAgQPXJRLDVPaoZxTSp40cMRIPNftHNWbS3zjZO6mbf4+d7J263dVIbm6ueWxsbFFWVpY8KyvL\n/PPPP7dPTExUrlu37sa6deucgoKCqn///XdlWlqaYtWqVXkxMTGuALBp06ZhQ4cO1WRlZaWuX78+\nT6FQWOq2WVVVJYqIiFClp6crIiIiVNu3b28y2OfixYvvBAQEVB44cOCqUqlUWFlZtdny7q233nKO\niIhQZWZmps6dO/duQUGBKQBcvHjR/PDhw3aJiYlKpVKpEIlE/MMPP7Tv7vvRFroYSvo0qjGTgcBQ\nrStdXFxqwsPDqwBAJpNVRUZGlolEIoSGhlauXbvWWXsT+Ojs7Gxzxhivq6tjAHD27Fmrl19++SYA\njB8/vlomkzXcVGtiYsIXLFhQCgBhYWEVp06dGtLV+M6dO2d99OjRTABYsGBB6ZIlSzQAcPz4cWu5\nXC4NCgryBYDq6mrR8OHDDdbHGCU6Qgjpp0xNTRtqUyKRCObm5hwAxGIxNBoNi42NdZk8eXL5yZMn\ns9LT000jIyM7HIFAIpFwkUikewy1Ws06WkcsFjd0OVZVVdXhmULOOYuOji7ZuXNnXkdle8I9nbpk\njMUZKhBCCCE9q6ysTOzq6loLALt373bQzY+IiFAdOnTIFgAuXLhgnpGRYXEv27WystKUlpY2jGbg\n6upae+bMGSkAfPnllw19cE6cOLF837599tr5Q8rKysQAMGPGjLK4uDjbvLw8CQAUFRWJMzIyDNa9\n2L1eo3MxSBSEEEJ6XGxsbOG7777r6uvr66c/+sCbb755q6SkROLh4eG/fPlyF09Pz2pbW9tOd9a8\naNGi4qVLl7r5+Pj4qVQqtnLlyvyYmJhRAQEBvmKxuKGWuWHDhvwzZ85YeXp6+h89etTWycmpFgDC\nwsKqV6xYkTd16lSZTCbzi4yMlOXm5t7z7Qqd1ameURoKM/Yp5/wZQwXTHcbqGYUQMrD1RM8ofY1a\nrUZtbS2TSqU8NTXV7OGHH5ZlZWXJdac++6Mu9YzSmr6a5AghhHReeXm5aNKkSd51dXWMc44tW7Zc\n789JriPUGIUQQgYZW1vberlc3qIT54GK7qMjhBAyoFGiI4QQMqB1eOqSMTYOwNsA3LTlGQDOOR9r\n4NgIIYSQbuvMNbrPAbwJ4DKAesOGQwghhPSszpy6vMU5P8Y5v8Y5v66bDB4ZIYSQNuXk5EiioqLG\njBw5MsDf39938uTJnpcuXTIDgEuXLplNnjzZ083NLcDPz8931qxZY3JzcyVxcXHWjLGwf/zjHw03\nj589e9aCMRa2cuXKEc33kZ+fLxk7dqyPr6+v3/Hjx60mT57sWVxcLC4uLhZv2LBhWPPyfVVnEt0q\nxtjHjLGFjLFHdZPBIyOEENKq+vp6zJkzx/PBBx8sz83NlaempqZt2LAhLz8/36SyspLNnj3ba8mS\nJbeuX78uVygUaS+99NKtwsJCCQB4eXlVHTlypKH3koMHD9p5e3u3OqB2XFycta+vb1VaWppixowZ\nqv/85z+ZDg4OmpKSEvEnn3wyvLdeb3d1JtEtBhAMYAaA2dopypBBEUIIaVtcXJy1RCLh+mPERURE\nVM2YMUO1Z88eu9DQUNXjjz9eqlsWFRVVPn78+GoAcHFxqa2pqRHl5uZK6uvr8dNPP9lMnTq1tPk+\nzp49a7Fq1SrXH374YaiuBxTdwKmvv/66a25urpmPj4/fkiVLXHvnVXddZ67Rjeecd9gRKCGEkN5x\n6dIli6CgoMrWlsnlcovQ0NBWl+k88sgjdw4ePGg7bty4ysDAwEozM7MWN4vfd999VcuXL89PTEy0\nPHDgQJNhRDZv3nwjKirKQqlUKrr3SnpHZxLdWcaYH+e8X7wgQgjpVc88MxJyubRHtxkQUIlPP83t\n0W3qWbRo0e158+Z5KJVKi8cff/z2f//7XytD7asv6Mypy4kAkhlj6YyxS4yxy4yxS4YOjBBCSOsC\nAwOrUlJSWk2u/v7+1RcvXmw38Y4aNUptYmLCExIShsyZM6fMMFH2HZ2p0c0weBSEENJfGbDm1ZbZ\ns2eXv/POO+z99993eOONN4oB4Pz58xZ37twRP//88yVbtmxxPHTokI1uANX4+HgrBweHJgOb/u//\n/m9eYWGhiURy7z1B2tjYaCoqKvpNhyOdGSDvemtTbwRHCCGkJZFIhGPHjmX99NNPQ0aOHBng6enp\nHxsb6+Li4lJnZWXFv/3228ydO3cOd3NzC/Dw8PDfuXPncEdHxyaJbtq0aRVPPvnk3a7s39HRURMW\nFqby8vLy7w+NUe5pmJ6+jIbpIYQYwkAcpmcgam+Ynn5T9SSEEEK6ghIdIYSQAc0oiY4x9jJjTM4Y\nS2WMvdJGmSmMsWRtmf/0doyEEEIGhl4feJUxFgDgeQDhAGoBHGeMxXHOM/XKDAWwC8AMznkOY6zf\ndDVDCCGkbzFGjc4XwHnOeSXnXA3gPwCa9535OICjnPMcAOCc3+zlGAkhhAwQxkh0cgCTGGP2jDEp\ngFkARjYrIwNgyxj7mTF2gTG2qNejJIQQMiD0eqLjnKcB+DuAHwAcB5AMQNOsmARAGIA/ApgO4B3G\nmKz5thhjLzDGEhljibdu3Wq+mBBCBiyxWBzm4+Pj5+Xl5R8ZGelZXFwsvpf1X3vtNefWhuZJT083\n9fLy8u+5SFvqjX3oM0pjFM75J5zzMM75gwDuAMhoVuQGgBOc8wrOeTGABABBrWxnD+d8HOd83LBh\n/WZoJEII6TYzM7N6pVKpuHLlSurQoUPVmzZtooNgG4zV6nK49u8oCNfn/tWsyLcAHmCMSbSnNycA\nSOvdKAkhpH+YOHFiRV5enqnu+TvvvDMiICDAVyaT+b366qvOuvmxsbGO7u7uAWFhYd5Xrlwx083/\n5ZdfpN7e3n7e3t5+//jHPxoa/6nVaixZssRVt61NmzY5AMIwQeHh4d4zZswYM3r0aP85c+aMrq+v\nb9jW+PHjvf39/X0feOABr+vXr5u0t4/eYKz76I4wxhQAvgPwV875XcbYXxhjfwEaTm8eB3AJwG8A\nPuacy40UKyGE9FlqtRqnT5+2fuSRR+4CwNGjR4dkZmaaX7p0KS0tLU2RnJwsjY+Pt/rll1+kX3/9\ntd3ly5cVJ0+evJKSkmKp28azzz7rvnXr1pz09PQmo9Rs3brVwcbGRiOXy9NSUlLS9u/fP0ypVJoC\nQFpamsXOnTtzMzMzU3NycsxOnjxpVVNTw5YtWzbq22+/zUpNTU176qmnit944w2X9vbRG3r99gIA\n4JxPamXeh82ebwKwqdeCIoSQfqSmpkbk4+PjV1RUZOLh4VH9yCOPlAHA8ePHhyQkJAzx8/PzA4DK\nykqRUqk0Ly8vF82aNeuutbV1PQA8/PDDdwGguLhYXF5eLp45c6YKAJ555pmSn376yQYATp06NUSp\nVEqPHTtmCwDl5eVihUJhbmpqygMDAys8PDzqAMDf378yKyvL1M7OTn3lyhWLyMhIGSCMhD5s2LC6\n9vbRG4yS6AYSR0d3FBU17eN6xAg3FBZmGycgQsigoLtGV15eLpoyZYrXhg0bhq9YseIm5xyvvPJK\nwZtvvtmkL87Vq1ff8+lCzjnbvHlzzrx585oM5RMXF2etP1irWCyGWq1mnHPm6elZlZycrNQvf68N\nZXoadQHWTUKS402m5omPEEIMxdraun7btm05u3btGlFXV4eZM2eWHTx40KG0tFQEANeuXTPJy8uT\nREZGqr7//vuhKpWK3blzR3Ty5MmhAODg4KCxtrbWnDhxwgoA9u3bZ6fb9rRp00o/+OCDYTU1NQwA\nLl26ZFZWVtZm3hg7dmz17du3JadOnbIEgJqaGpaYmGje3j56A9XoCCGkN4SHewMAfvstvac3ff/9\n91f5+PhU7dmzx+6vf/3r7dTUVPPx48f7AIBUKq3//PPPrz3wwAOVc+fOvR0QEOBvb29fN3bs2Ard\n+p988kn2c889584Yw5QpUxpqb6+++mpxdna2WWBgoC/nnNnZ2dV9//33WW3FYW5uzg8dOpS1bNmy\nUeXl5WKNRsNefPHFonHjxlW3tY/eQMP0dBNjDEJNrslcDJT3lZDBrseG6TFgoiM0TA8hhBiVWq3G\nt3fuiN/NyzP94osvbNRqdccrkR5Dia6bRoxwA8CaTMI8QggRktyMSZO8Vl+9alGTn2+68dlnx8yY\nNMmLkl3voUTXTYWF2eCcN5moxSUhROerr76yKUlJsTpXX4/3APxWVSUqTkmx+uqrr3qtef1gR4mO\nEEIM6OLFi9IZ1dUiE+1zEwAzq6tFSUlJUmPGda82btw4bMeOHfYAsG3bNvvs7GyTjtZpzsXFJbCg\noKDXG0FSoiOEEAMKDQ2tPG5uXl+nfV4HIN7cvD4kJKTSmHHdq5iYmFt/+9vfSgDgs88+c8jJybnn\nRGcslOgIIcSAoqOjS+2DglQTRCIsBzDewqLeIShIFR0dXdqd7aanp5uOHj3af968ee7u7u4Bc+bM\nGf3NN99Yh4aG+ri5uQWcPn1aevr0aWlwcLCPr6+vX0hIiE9KSooZAGh7SRnj4eHhP23aNI+xY8f6\nJCQkSAFAKpWGLF261MXb29svKCjIJzc3VwI0jnawd+9eW7lcLl20aNEYHx8fP5VKxfRragkJCdJw\nbQvTwsJC8f333+/l6enpP3/+fDf91ui7du2yCwwM9PXx8fF7/PHH3Qx5zZISHSGEGJBEIsHxX365\nsmrMmCpzZ+fa2E8+uXr8l1+uSCTdP4OXm5trHhsbW5SVlSXPysoy//zzz+0TExOV69atu7Fu3Tqn\noKCg6t9//12ZlpamWLVqVV5MTIwrAGzatGnY0KFDNVlZWanr16/PUygUDf1eVlVViSIiIlTp6emK\niIgI1fbt25uMirB48eI7AQEBlQcOHLiqVCoVVlZWbd5L9dZbbzlHRESoMjMzU+fOnXu3oKDAFAAu\nXrxofvjwYbvExESlUqlUiEQi/uGHH9p3+w1pA90wTgghBiaRSPAnW1vNn2xtNVi4sFs1OX0uLi41\n4eHhVQAgk8mqIiMjy0QiEUJDQyvXrl3rfPv2bfH8+fNHZ2dnmzPGeF1dHQOAs2fPWr388ss3AWD8\n+PHVMpms4TSqiYkJX7BgQSkAhIWFVZw6dWpIV+M7d+6c9dGjRzMBYMGCBaVLlizRAMDx48et5XK5\nNCgoyBcAqqurRcOHDzdYlY4SHSGE9AYD3ChuamraUJsSiUQwNzfngND3pEajYbGxsS6TJ08uP3ny\nZFZ6erppZGSkd0fblEgkXCQS6R5DrVazjtYRi8VcN0xPVVVVh2cKOecsOjq6ZOfOnXkdle0JdOqS\nEEIGqLKyMrGrq2stAOzevdtBNz8iIkJ16NAhWwC4cOGCeUZGhsW9bNfKykpTWlra0FGzq6tr7Zkz\nZ6QA8OWXX9rq5k+cOLF837599tr5Q8rKysQAMGPGjLK4uDjbvLw8CQAUFRWJMzIyTGEglOgIIWSA\nio2NLXz33XddfX19/fQbe7z55pu3SkpKJB4eHv7Lly938fT0rLa1tdV0druLFi0qXrp0qZuuMcrK\nlSvzY2JiRgUEBPiKxeKGWuaGDRvyz5w5Y+Xp6el/9OhRWycnp1oACAsLq16xYkXe1KlTZTKZzC8y\nMlKWm5trsFac1NclIYS0o8f6uuxD1Go1amtrmVQq5ampqWYPP/ywLCsrS6479dkftdfXJV2jI30a\njfdHSM8rLy8XTZo0ybuuro5xzrFly5br/TnJdYQSHenTGsf705/X4bVxQkg7bG1t6+VyeZqx4+gt\ndI2um0aNcgRjrMk0apSjscMihBCiRTW6bsrNLcLp003nPfRQkXGCIYQQ0sKASXTp6cCUKS3nr18P\n3HcfcPYs8D//A+zeDXh7A999B2ze3PF2m5c/fBhwcAD27RMm4DReeaXlerpYmpf/+Wdh/vvvA3Fx\nHe9fv/yvvwJHjgjPly8XnrfH3r5p+ZISYM8e4fkLLwAZGe2vL5M1LW9vD7z3nvB83jxhe+2JiGha\nPiICeOMN4Xlrn1VzUVFtLbHv1PpPPy1MxcXAn/8MvP46MHu28F1ZsqTj9ZuXb/5d6ojhv3vto+9e\nY/mufPd05Un/R6cuSZ/WON7fzwCeBsAwbNhIY4ZECOln6PaCbmKMtXLqEhgo7yshg11fvb1ALBaH\neXl5VanVaiYWi/mCBQtKVq5cWSQWizte+R5t27bNPjEx0fLAgQM5zZdJpdKQysrKpB7f6T3ug24v\nMKCRI0e0uCY3cuQII0VDCBkszMzM6pVKpQIA8vLyJNHR0WPKysrEW7Zsye/M+nV1dTAx6Tcj7XQL\nnbrsppycwhYjjOfkFBo7LELIIOLi4qL++OOPs/fu3Tu8vr4earUaS5YscQ0ICPCVyWR+mzZtcgCA\nuLg467CwMO/IyEhPLy+vAKDt4XL++c9/2ru7uwcEBgb6nj171kq3L6VSaRocHOwjk8n8li1b5qwf\nxzvvvDNCt89XX33VGRCGExozZoz/ggUL3Dw9Pf3vv/9+L5VKxQAgNTXVbNKkSV7+/v6+YWFh3klJ\nSeYd7aMrKNERQsgA4OfnV6vRaJCXlyfZunWrg42NjUYul6elpKSk7d+/f5hSqTQFAIVCId21a1dO\ndna2vK3hcq5fv26yYRSUZcUAABR7SURBVMMG57Nnzyp///13pX5fmC+99NKo55577lZGRobCyclJ\nN54sjh49OiQzM9P80qVLaWlpaYrk5GRpfHy8FQDk5OSYL1u27GZmZmaqjY2N5sCBA7YA8Nxzz7nt\n2rUrJzU1NW3Tpk03XnzxxVHt7aOr6NQlIYQMMKdOnRqiVCqlx44dswWA8vJysUKhMDc1NeVjx46t\n8PHxqQXaHi4nISHBcuLEieXOzs5qAHj00UdvZ2RkmAPAxYsXreLj47MAYMmSJSVr1qxx1W5rSEJC\nwhA/Pz8/AKisrBQplUrzMWPG1Lq4uNTcd999VQAQEhJSmZ2dbVZaWipKSkqyio6O9tDFXVtby9rb\nR1dRoiOEkAFAoVCYisViuLi4qDnnbPPmzTnz5s0r0y8TFxdnLZVK63XP2xou5+DBg0Pb25dIJGrR\n2o5zjldeeaXgzTffbNJIJz093VR/OCGxWMyrqqpEGo0G1tbWat11xs7so6vo1CUhhPSC8PBw7/Dw\n8A7Hg+uK/Px8yfPPP++2ePHimyKRCNOmTSv94IMPhtXU1DAAuHTpkllZWVmL431bw+U8+OCDFefP\nn7cuLCwU19TUsK+//rph6J3Q0FDVRx99ZAcAH330UcOo4DNnziw7ePCgQ2lpqQgArl27ZqLbbmvs\n7OzqXV1daz/99FNbAKivr8evv/5q0d4+uooSHSGE9EM1NTUiHx8fP09PT/+HHnpINnXq1LL3338/\nHwBeffXVYh8fn+rAwEBfLy8v/+eff95NN7q4vraGy3Fzc6uLjY3Nnzhxou+4ceN8ZDJZtW6dXbt2\n5ezZs2e4TCbzy8vLa2i2+eijj5ZFR0ffHj9+vI9MJvObO3eux927d9u91+GLL764unfvXgdvb28/\nLy8v/yNHjgxtbx9dRffREUJIO3riPjq1Wg1fX1+/yspK8fvvv58THR1dKpHQlaOe1N59dFSjI4QQ\nA1Kr1Zg0aZLX1atXLfLz802fffbZMZMmTfLSHwiVGBYlOkIIMaCvvvrKJiUlxaq+XmgDUlVVJUpJ\nSbH66quvbIwc2qBBiY4QQgzo4sWL0urq6ibH2urqalFSUpLUWDENNpToCCHEgEJDQyvNzc3r9eeZ\nm5vXh4SEVBorpq7YuHHjsB07dtgDQt+X2dnZ99xIxMXFJbCgoKDXL04aJdExxl5mjMkZY6mMsVYG\nuWkoN54xpmaM/bk34yOEkJ4SHR1dGhQUpBKJhMOthYVFfVBQkCo6OrrUyKHdk5iYmFt/+9vfSgDg\ns88+c8jJyek3HWX2eqJjjAUAeB5AOIAgAFGMMc9WyokB/B3AD70bISGE9ByJRIJffvnlypgxY6qc\nnZ1rP/nkk6u//PLLle62ukxPTzcdPXq0/7x589zd3d0D5syZM/qbb76xDg0N9XFzcws4ffq09PTp\n09Lg4GAfX19fv5CQEJ+UlBQzACgvLxfNmjVrjIeHh/+0adM8xo4d65OQkCAFhJECli5d6uLt7e0X\nFBTkk5ubKwGA1157zXnlypUj9u7dayuXy6WLFi0a4+Pj46dSqZh+TS0hIUGqu1+wsLBQfP/993t5\nenr6z58/302/lX9bfWwagjFqdL4AznPOKznnagD/AfBoK+WWAjgC4GZvBkcIIT1NIpHA1tZW4+Li\nUrtw4cIeu7UgNzfXPDY2tigrK0uelZVl/vnnn9snJiYq161bd2PdunVOQUFB1b///rsyLS1NsWrV\nqryYmBhXANi0adOwoUOHarKyslLXr1+fp1AoLHXbrKqqEkVERKjS09MVERERqu3btw/T3+fixYvv\nBAQEVB44cOCqUqlUWFlZtXmP2ltvveUcERGhyszMTJ07d+7dgoICUwBoq4/NHnlTWmGMGznkANYx\nxuwBVAGYBaDJDXCMMRcAcwE8BGB8r0dICCE97Lfffkvv6W26uLjUhIeHVwGATCarioyMLBOJRAgN\nDa1cu3at8+3bt8Xz588f/f/bu/sgq+r7juPvD7sYiijBRYG6u6AiCJJkDJiBNgiYDrEmmlats6bW\nMIlPffAhMUpoMo5Ta6pJWzoZsUqNkkkTqRK0hjYatJg44NaoIC6atUoIqBFxiwtKlV349o9zllyW\nfbjswz17z35eM2f23HN/597vb+/d+93fOed+f1u2bBkmKdq+NL5u3boR11xzzVsAp59++vuTJk06\ncL5w6NChUVdX1wwwffr09x577LGjexpffX39UStXrnwFoK6urvmKK67YB53X2Ozp83Sn5IkuIl6S\n1HZI8j1gA7CvXbN/AhZGxH7pkC/zHyDpcuBygNra2v4J2MxsgCqsITlkyBCGDRsWABUVFezbt08L\nFy48fs6cObtXr179amNj4xFnnnlmtyXIKisro+18YmVlJa2trZ1/CKcqKiqi8OsT3bXvrMZmf8nk\nYpSI+G5ETI+IM4CdwMvtmswAlkvaAlwA3CHpjzp4nKURMSMiZhx77LHt7zYzG9R27dpVUV1dvRfg\nrrvuGt22fdasWe8uX758FMCzzz47rHAanmKMGDFiX3Nz84HyXtXV1XvXrl07HOD+++8/UBdz5syZ\nu5ctW1aVbj96165dFdB5jc2e97RrWV11eVz6s5bk/NwPC++PiBMiYkJETABWAH8REQ+VPFAz6zNj\nx05A0kHL2LETsg4r1xYuXPjmTTfdVD1lypSphRd7XH/99TuampoqTzrppFMXLVp0/MSJE98fNWpU\n+yNrnbrkkkvevuqqq8a3XYxy4403vnHDDTfUTps2bUpFRcWBUeatt976xtq1a0dMnDjx1JUrV44a\nN27cXui8xmafdr5AJrUuJT0JVAEtwFci4nFJVwJExJ3t2i4DVkXEiq4e07UuzQa25DRE+88bMdDr\n7fZFrcuBprW1lb1792r48OGxadOmD82fP3/Sq6++2tB26LMcdVXrMpOqohExu4Ntd3bSdkG/B2Rm\nNojs3r17yOzZsye3tLQoIli8ePGvyznJdcfls83MBplRo0btb2hoeCnrOErFJcDMzA7f/rZJTS17\n6Wuxv7P7nejMrCTGjBkP6KAl2VaWGpYsWTLSyS57H3zwgZYsWTKS5DvaHfLEq2ZmXejoYhRJx40Z\nM+ZuYBoeMGRtP9Cwffv2SyOiw0paPkdnZnaY0g/Uc7OOw4rj/0TMzCzXnOhsQKutHXvIl4xra8dm\nHZaZlREfurQBbdu27axZc/C2efO2ZxOMmZUlj+jMzCzXnOjMzCzXnOjMzCzXcnOObs+eRtavn3vI\n9hNP/CYjR/4ezc3r2Lz5r5k8+S6GD5/M22//mG3b/qHbx23f/tRTV3DEEaP5zW+W8eaby7rdv337\n0057AoCtW/+epqZV3e5f2H7XrqeYNu1HAGzevIjm5qe63Hfo0KqD2re0NDF58lIAGhsvZ8+e9rMj\nHWz48EkHtR86tIoTT/w7ABoazqelpanL/UeOnHVQ+6OPnkVt7VcBOnyt2quq+iw1NWOYN287ixfD\nI4/Ao4/ClCnHFrX/2LELGDduAXv3vs2mTRdQU3Mdo0efw549jTQ2XtHt/u3bt38vdcfvvfJ+77W1\nt/LnEZ0NaFu3vklEMGfOHO69914igg0bXsw6LDMrI66MYmbWhY4qo1h58YjOzMxyzYnOzMxyzYnO\nzMxyzYnOzMxyzYnOzMxyzYnOzMxyzYnOzMxyzYnOzMxyzYnOzMxyzYnOzMxyzYnOzMxyzYnOzMxy\nzYnOzMxyzYnOzMxyzYnOzMxyzYnOzMxyzYnOzMxyzYnOzMxyzYnOzMxyzYnOzMxyzYnOzMxyzYnO\nzMxyLZNEJ+kaSQ2SNkm6toP7/1TSRkkvSFon6WNZxGlmZuWv5IlO0jTgMuATwMeAz0qa2K7Zr4A5\nEfER4GZgaWmjNDOzvMhiRDcF+O+I2BMRrcDPgPMKG0TEuojYmd6sB6pLHKOZmeVEFomuAZgtqUrS\ncOBsoKaL9l8CftLRHZIul/SMpGd27NjRD6GamVm5qyz1E0bES5JuA34KvAdsAPZ11FbSPJJE98lO\nHmsp6WHNGTNmRL8EbGZmZS2Ti1Ei4rsRMT0izgB2Ai+3byPpo8DdwOcioqnUMZqZWT6UfEQHIOm4\niHhLUi3J+bmZ7e6vBVYCfxYRhyRBMzOzYmWS6IAfSaoCWoC/jIh3JF0JEBF3AjcCVcAdkgBaI2JG\nRrGamVkZyyTRRcTsDrbdWbB+KXBpSYMyM7NccmUUMzPLNSc6MzPLNSc6MzPLNSc6MzPLNSc6MyuJ\n2tqxSDpoqa0dm3VYNghk9fUCMxtktm3bzpo1B2+bN297NsHYoOIRnZmZ5ZoTnZmZ5ZoTnZmZ5ZrP\n0ZlZSdTUjDnknFxNzZiMorHBxInOzEpi69Y3sw7BBikfujQzs1xzojMzs1xzojMzs1xzojMzs1xz\nojMzs1xzojMzs1xzojMzs1xzojMzs1xTRGQdQ5+QtBtozDqOfjQaeDvrIPqR+1fe8ty/yRFxVNZB\nWM/lqTJKY0TMyDqI/iLpGfevfLl/5UvSM1nHYL3jQ5dmZpZrTnRmZpZreUp0S7MOoJ+5f+XN/Stf\nee7boJCbi1HMzMw6kqcRnZmZ2SHKLtFJOktSo6RXJH2ti3bnSwpJZXUlWHf9k7RA0g5JG9Ll0izi\n7KliXj9JF0p6UdImST8sdYy9UcTrt7jgtXtZ0jtZxNkTRfStVtIaSeslbZR0dhZx9lQR/Rsv6fG0\nb09Iqs4iTuuBiCibBagAXgVOBI4AngemdtDuKODnQD0wI+u4+7J/wALg9qxj7cf+nQysB0alt4/L\nOu6+7F+79lcB92Qddx++dkuBP0/XpwJbso67j/v3APCFdP1M4PtZx+2luKXcRnSfAF6JiM0RsRdY\nDnyug3Y3A7cB75cyuD5QbP/KVTH9uwxYEhE7ASLirRLH2BuH+/pdBNxXksh6r5i+BXB0uj4SeKOE\n8fVWMf2bCvxXur6mg/ttgCq3RHc8sK3g9mvptgMkfRyoiYj/KGVgfaTb/qXOTw+frJBUU5rQ+kQx\n/ZsETJK0VlK9pLNKFl3vFfv6IWk8cAK//eAc6Irp203AxZJeA/6TZMRaLorp3/PAeen6HwNHSaoq\nQWzWS+WW6LokaQjwj8B1WcfSj34MTIiIjwKrge9lHE9fqyQ5fDmXZMTzL5I+nGlE/aMOWBER+7IO\npA9dBCyLiGrgbOD76d9kXnwVmCNpPTAHeB3I0+uXW+X2JnwdKBzBVKfb2hwFTAOekLQFmAk8XEYX\npHTXPyKiKSI+SG/eDUwvUWx9odv+kfwn/XBEtETEr4CXSRJfOSimf23qKJ/DllBc374E3A8QEU8B\nw0hqYJaDYv723oiI8yLiNODr6bayuZhoMCu3RPcL4GRJJ0g6guTD4uG2OyOiOSJGR8SEiJhAcjHK\nuRFRLrXquuwfgKRxBTfPBV4qYXy91W3/gIdIRnNIGk1yKHNzKYPshWL6h6RTgFHAUyWOrzeK6dtW\n4FMAkqaQJLodJY2y54r52xtdMEJdBNxT4hith8oq0UVEK/BXwKMkH/D3R8QmSX8j6dxso+u9Ivt3\ndXrZ/fPA1SRXYZaFIvv3KNAk6UWSE/7XR0RTNhEfnsN4f9YByyOibKo1FNm364DL0vfmfcCCculj\nkf2bCzRKehkYA9ySSbB22FwZxczMcq2sRnRmZmaHy4nOzMxyzYnOzMxyzYnOzMxyzYnOzMxyzYnO\nekTSu1nHMBBI2pJ+368vH3OCpM8X3F4g6fa+fA6zwcSJzgYkSRVZx5ChCcDnu2tkZsVxorNekTQ3\nnZtrhaRfSvqBEmdJeqBdu1Xp+nxJT0l6TtIDkkak27dIuk3Sc8CfSLo6nZduo6TlaZsjJd0j6el0\n3rNDKshLWtL2JV9JD0q6J13/oqRb0vWHJD2bfvn+8nTblZK+XfA4B0ZSki5On3ODpLs6SsSdtZH0\nrqRbJD2fFqoek24/Kb39gqS/LRgl3wrMTh/ny+m235X0iKT/kfStnr9iZoNQ1vMEeSnPBXg3/TkX\naCapDTiEpKzVJ0mKM28Fjkzb/TNwMUntw58XbF8I3JiubwFuKHiON4APpesfTn9+E7i4bRtJLcwj\n28VWB3w7XX8aqE/X7wU+na4fk/78HaABqAKOJZmqpe1xfpL2ZQpJMe2h6fY7gEsKYh7dTZsAzknX\nvwV8I11fBVyUrl/Z7ne6qiCOBSRl0EaSlNX6NckMHZm/D7x4KYfFIzrrC09HxGsRsR/YQDK7Qivw\nCHCOpErgM8C/kxTangqslbQB+AIwvuCx/q1gfSPwA0kXA63ptvnA19J9nyD54K9tF8+TJCOiqcCL\nwPa0RugsYF3a5uq0VFU9STHfkyNiB7BZ0kwl06+cAqwlqd84HfhF+ryfIpmgs1BXbfaSJDWAZ0kO\nTZLG0zbq7W4m9ccjqeX6ftqn8d20N7NUZdYBWC58ULC+j9++r5aT1A/8X+CZiNgtScDqiLiok8d6\nr2D9M8AZwDnA1yV9BBBwfkQ0dhZMRLyuZGqfs0hGj8cAF5KMmHZLmgv8ATArIvZIeoIkYbbFfCHw\nS+DBiIg05u9FxKIufgddtWmJiLZae4W/n8PR2e/YzLrhEZ31p58BHyeZNXx5uq0e+H1JE+HAObdJ\n7XdMq8TXRMQaksObI4ERJEV3r0qTD5JO6+S564FrSRLdkyRziT2Z3jcS2JkmuVNIRpltHiSZOfqi\ngpgfBy6QdFz6nMcomTi1UDFtOorx/HS9rmD7bpIpp8ysDzjRWb+JZFLRVcAfpj9JDw8uAO6TtJHk\nnN4pHexeAfyrpBeA9cB3Ipn762ZgKLBR0qb0dkeeBCoj4hXgOZJRXVuiewSolPQSyYUf9QUx7ySp\nXj8+Ip5Ot70IfAP4aRrzaqBwuqSi2nTgWuArafuJJOc6ITlkuy+9eOXLne5tZkXx7AVmGZE0HPi/\n9PBoHcmFKYdcRWpmvePj/GbZmQ7cnh6GfQf4YsbxmOWSR3RmZpZrPkdnZma55kRnZma55kRnZma5\n5kRnZma55kRnZma55kRnZma59v8lVL94y7nDIQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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o2O3Onwfefx/49FOguhoYP17q8M193xhjHRQnOgZoNEBsrJTgjh4F7OyAWbOA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\nrkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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R0h6qqoRrb5s3C9feRCIgLAx4+WUqvRHSxijREdKWUlKE0tu2bcCNG0Knyh9/LFx7c3TU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\nTkREQk2JTkREQk2JTkREQu3/AQfLklwGdRFeAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YNARX165SR+6lS6VRSezs9B0l68Qy8zJxDMfqLHs472E9RdO5FRcXy0aOHOlW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\n/h//Uf7TqFSI2QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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kFhhIE5YS0sKFhoZ2/eGHH2xEIhEXiUTYuHHjzaCgoJIBAwa43Llzx8Tc3Fyt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\nCp2IiISaCp2IiITa/wP9UBQmYeer+QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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j8xcuXOjq6+vrp9/Z4+23375WVFSk8PDw8J83b56Lp6dnlZ2dnaa1x502bVrh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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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pBuvxvldfo2OMuQIIAHDeuJG0TqPRIDo6GuvXrx+Q9wYRQnqvqKioojfffNPR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\nmZlZrjnRmZlZrjnRmZlZrv0/U8qHghSMgPsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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qlnzyScDMYNeNGWOsURm6MUoEgOHVlr0P4DchRC8Av2kf34GIHgHwKIA+AHwA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\n/wdnjXLumNW8KAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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REWLMrl8XEtuuXUBSEiASCTUmY2KEGpO2toaOkBCjR4mOEGNTUAB8952Q4E6dEuaFhwP/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\nAY3Fu3gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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qLgZ27JCS29GjUkltxAjgjTeAyZOBHj1MHSFjjLUKTnRdSXm5dL9t61ZpZBK1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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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d08jISMg0jdSMjIygUqka7XMkl8tFdbU0yUFZWVmjVwqFEBQeHl6wbt267Mb2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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MTIQRtVevFhIbVUcSQroJSnRdHedCs/6jR4XEduwYcPeusMzfX7jP7fHHhXHb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\niYhIrCnRiYhIrCnRiYhIrP0/sv3RY91c/PgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1TZs2Va0gERgYWLh7925LADh16pTJhQsX7qm5x9zcXJWXl1c1+4y9vX3Z0aNH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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Y1N3d3Wffvn02jo6OdQAQFBRUs2DBgvxRo0bJZDKZd3h4uCwvL89g52VoCLD2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\ngg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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V7P6faeM40RmzggLpgu4hQ6QxJz/4AAgKAr76SjoH9+GHPFs3Y0YsIiIi9/33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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6aIQQgtLSUrF2Sqzt27fXzbQfFham2L17tw0AxMXFSdLT09s0W75UKlWVlJTU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\nYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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phjZ4MPDuu8D48dKIAYyxVsvIyKi8NiWTycq79JLL5VCpVBQREWEfHBycf/jw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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Jk4Bp04SRM3rADciXL1/G+PJyaEddNAEwobwcV65coSRGugQlMUI6S2UlcOyYkLgOHxZG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\nmZlZsRxiZmZWrP8DAXhMZIsRJBkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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J7tgxwM4OWLECmDKFExxrl7h7ccYMhRDAvn1AcLB0s/elS8Dq1dKN3m+8wUmOtVuc6Bhr\n66qqpAFOBw4E/u//gNxcYP16qU/KV1/lrrpYu8eJjrG2SqUC/vtfwM8PGDcOuHVLGi7nzz+lakpT\nU31HyFirwImOsbZGqZQGOPX2BiIipOmtWwGFgofLYawW3BiFsbaivBz46ivp3reLFwFfX2DnTuCJ\nJwC5XN/RMdZqcYmOsdaupEQa/83ZWRr/zcZGuiZ39iwwYQInOcYawCU6xlqrwkLg88+le9+uXQMe\nfhjYtEka3Zu4O1jGGosTHWOtTX6+VIJbtUpqYDJqFPDee8CQIfqOjLE2iRMdY61FdjbwySfAunXA\n7dtSS8rZs6XbBhhj940THWP6dvGi1Pfkpk3SLQNPPQW8+67UqpIx1mSc6BjTl4QEYMkSYMcOqUHJ\n5MnArFlA3776jowxg8KJjrGWduIE8OGHwJ490ugBb7wBvPUWYG+v78gYM0ic6BhrCZqOlj/8EPj1\nV6BLF2nYnNdek54zxnSGEx1juqRSAbt3S1WUZ85Ipbbly6UuuniwU8ZaBCc6xnShvFzqpmvpUqlz\nZTc34MsvgWef5T4oGWthnOgYa06FhdLtAStXAjk5QGAg8O230q0C3IMJY3rBiY6x5pCbC3z6qdST\nSUEBMHy41C/lo49yLyaM6RknOsaa4s8/pWtuUVFARQXw5JPSLQIDBug7MsaYGic6xu7HqVPS9bfv\nvgNMTIBJk4CZMwFXV31HxhirgRMdY40lBHDggJTgjhwBOnWSejCZMQPo0UPf0THG6sCJjrGGVFZK\nvZcsWwZcuAA4OAAffyzdImBlpe/oGGMN4ETHWF2KioAvvgBWrACuXJH6noyKkvqiNDHRd3SMsUbi\nRMdYTVlZ0hA569dLLSiHDZOeh4VxC0rG2iBOdIxpJCRIVZJffy31aPLkk8A77/AwOYy1cZzoWPsm\nBPDLL9ItAvv3AxYWwL/+JXW0zKMIMGYQONGx9qmyEvjvf6US3LlzQPfuwIIFwCuvADY2+o6OMdaM\nONGx9uXWLamByapVUgMTLy9g40bg6acBMzN9R8cY0wFOdKx9+OsvqYuujRuB4mIgJATYsAEYNQqQ\nyfQdHWuDiKhb9+7dvwTgA4C/RPpVBSAhLy/vJSHE1ZoLOdExw/b778Ann0hD5chkQEQE8PbbgL+/\nviNjbVz37t2/jIyM9Jw2bdpNU1NToe942rPy8nJas2aN19KlS78EMLbmcp39CiGiTUR0lYgStOYt\nIyIFEZ0nou+JqHMd24YSUQoRpRHRu7qKkRkopRLYuRMYPBh44AHg0CGpe66MDGDrVk5yrLn4TJs2\nrZCTnP6ZmpqKV199tQBS6fouuixuRwEIrTHvIAAfIYQvgFQAs2tuRERyAGsAhAHwAvAUEXnpME5m\nKAoKpNaTLi7AxIlAfj7w2WdAZqY08KmDg74jZIZFxkmu9VB/FrXmNJ1VXQohYonIqca8n7UmTwB4\nspZNgwCkCSEuAgAR7QDwGIAk3UTK2rz0dKlxyaZN0vW3hx+WrseFh/MYcIwxvV5AfQFATC3zHQBk\nak1fUc9j7G9CALGx0oCmrq7SOHDjxgGnTwNHjwKPPcZJjhm8yMjIHi4uLt5ubm5eHh4eXocPH+7Q\n3McYP3680+bNm61rm+/g4NDPw8PDy8PDw2vhwoXdmvvYzUUvjVGI6D0ASgDbm2FfUwBMAYBevXo1\ndXestSsvl+5/W7kSOHtWuuft3/8Gpk0D7O31HR1jLebQoUMdDhw40PnChQtJ5ubmIicnx6i8vLxF\n+6hbuHDhlcmTJ99syWPejxZPdET0PIBwAMOFELXVb2cB6Kk17aieVyshxAYAGwBgwIABXF9uYFQq\nFWJiYnD2t98QkJmJsF9+gfzqVamD5S++AJ55BjA313eYjLW4rKws4y5duijNzc0FANjZ2SlrW2/5\n8uW2mzdv7lpZWUlOTk7lu3bt+svKyqpq/PjxTlZWVqpz5851uHbtmvGCBQuuTJ48+WZVVRWef/75\nXrGxsR3t7e0rjI2Nq1r2lTW/Fq26JKJQALMAjBVClNSx2ikArkTUh4hMAEQA2NNSMbLWQ6VSYVxw\nMOaPGYOSpUsx/5tvME6lgiomRhou56WXOMmxduvxxx8vzM7ONnFycvJ59tlne/3000+Wta33zDPP\n3ExISEhOSUlJcnd3L121apWtZlleXp5xXFyc4scff/xz/vz5DgCwdevWzmlpaaZpaWkJX3/99V9n\nzpypdb8AMGfOHEdN1eUff/zRav8YdXl7wTcAfgfgTkRXiOhFAKsBWAE4SETxRLROva49Ee0DACGE\nEsBrAA4ASAawUwiRqKs4WSukVALffosYX19knTqFEwA+hNR66Up5OWKUSh5FgLV7nTp1qkpISEha\nvXr1pa5duyr/+c9/Oq9atequ/utOnz5tHhgY6O7m5ub13Xff2SQmJlZ3ATR27NhbcrkcgYGBZfn5\n+cYAcPToUat//OMfN4yMjODk5FQZHBxcVFcMCxcuvKJQKJIUCkVSUFBQqW5eadPpstXlU7XM3ljH\nutkARmtN7wOwT0ehsdYqPx/48ktgzRogMxNnO3fGSADG6sXGAEbdvo34+HiEh4frMVDGWgcjIyOE\nh4cXhYeHF/n6+pZu3brVZsaMGfna60yZMqXPrl270oKDg0tXrVplc/To0erRgs3MzKov99R+Jckw\ncLc1TP/OnZOqIR0dgXfflVpR/vADAqKi8LOlJSrVq1UCONChA/z5hm/GcO7cOdMLFy6YaqbPnj1r\n7ujoWFFzvZKSElmvXr0qy8vLaceOHV0a2u/QoUOLdu3a1UWpVOLSpUvGJ06csGpom9aOuwBj+qFU\nAj/8IN3QHRsrXWubNAl47TWgXz8AQJhKhQ2DBmHQkSMYVVWFA5aWcBw0CGFhYXoOnjH9KywslM+Y\nMaNXYWGhXC6XCycnp/KvvvrqUs313n333eygoCDPLl26KPv3719cXFxc7303zz333K1ffvmlo4uL\ni4+9vX15QEBAse5eRcsgQyquDhgwQMTFxek7DFafa9ekzpTXrZNGD3ByAl59FXjhBaDL3T82Na0u\n4+Pj4e/vj7CwMMj5/jjWwojotBBigPa8Hj16ZOTm5l7XV0zsbj169LDNzc11qjmfS3SsZZw6Baxe\nDezYAVRUAI8+Kl2L+7//q/fGbrlcjvDwcL4mx9o8W1tHv/z8rDvOuTY2Dsrr16+c01dM7QUnOqY7\n5eXAt99KCe7kScDSUroW99prgKenvqNjrEVJSU7UmEd8Dm4B3BiFNb/Ll6XeSnr2BJ57Drh5U+qL\nMitLKsVxkmOszVm6dGnX1atX2wDAqlWrbDIyMowb2qYmBweHfjk5OS2e3PnXBGseVVXAL78Aa9cC\ne9T3948ZI11/Gz6cBzdlrI2bNWvWNc3zbdu22fr7+5c6OTlV1rdNa8FnH9Y0t25JIwV4egIjRwLH\njgGRkcDFi1KryhEjOMkxpgMpKSkmffr08R4/fryTk5OTz9ixY/v88MMPVv379/fo3bu3z5EjRyyO\nHDli4e/v7+Hp6ekVEBDgce7cOVMAKCoqko0ePbqvs7Oz94gRI5x9fX09YmNjLQDAwsIiYPr06Q7u\n7u5efn5+HpmZmUYA8NZbb9nPmzev++bNm60TEhIsJk2a1NfDw8OruLiYtEtqsbGxFkFBQe4AkJub\nK3/wwQddXVxcvCdOnNhbu/Hj2rVru/Tr18/Tw8PD6+mnn+6tVNbag1mz4DMQuz9nzgAvvyx1pPzG\nG1Lnytu2SWO/LV4M9O6t7wgZa1VsbByUAEH7Ic27f5mZmWaRkZF56enpCenp6Wbbt2+3iYuLUyxa\ntOjKokWL7Pz8/MpOnTqlSE5OTpo/f37WrFmzHAFg2bJlXTt37qxKT09PXLx4cVZSUlL1qAelpaWy\n4ODg4pSUlKTg4ODizz77rKv2MSdPnnzTx8enZMuWLRcVCkWSpaVlnU333333Xfvg4ODitLS0xHHj\nxt3KyckxAYAzZ86Y7dq1q0tcXJxCoVAkyWQysW7durt6dWkuXHXJGq+0VBq5+/PPpcYlFhbAs88C\nr7wCBAToOzrGWjVdtK50cHAo13S95ebmVhoSElIok8nQv3//koULF9rfuHFDPnHixD4ZGRlmRCQq\nKysJAI4fP275+uuvXwWAgQMHlrm5uVX3PWxsbCwiIiIKACAwMPD2oUOHOt5vfCdOnLDavXt3GgBE\nREQUTJ06VQUA+/fvt0pISLDw8/PzBICysjJZt27ddFak40THGvbnn9J9b5s3Sw1LPDyk6spJk4DO\nnfUdHWPtlomJSXVpSiaTVXfpJZfLoVKpKDIy0mHo0KFFBw8eTE9JSTEJCQlxb2ifRkZGQqa+3GBk\nZASlUtlgx7JyuVxUVUmDHJSWljZYUyiEoAkTJuSvWbOmzpFpmhNXXbLaVVYC330nXWNzc5NaTT76\nKHDkCJCUBMyYwUmOsVausLBQrukWbP369dWjFgQHBxfv2LHDGgBOnz5tlpqaek8jD1haWqoKCgqq\nb4B1dHSsOHbsmAUA7Ny5s3qQ1sGDBxdFRUXZqOd3LCwslANAaGhoYXR0tHVWlnRfYV5enjw1NdXk\n/l9p/TjRsTtdugTMnQv06gU8+SSQmgosXCjdMrBzJzBsGI8cwFgbERkZmfv+++87enp6emk39pg5\nc+a1/Px8I2dnZ+/Zs2c7uLi4lFlbW6sau99JkyZdnz59em9NY5R58+Zlz5o1q5ePj4+nXC6vLmUu\nWbIk+9ixY5YuLi7eu3fvtrazs6sAgMDAwLI5c+ZkDR8+3M3Nzc0rJCTELTMz855vV2gs7gKMASoV\nsG8fsH699D8g9VgydSoQFlZvzyWMtQeG1gWYUqlERUUFWVhYiMTERNORI0e6paenJ2iPZtAWcRdg\n7G5XrgAbN0pD41y5AvToAbz3ntR7CbeaZMxgFRUVyYYMGeJeWVlJQgisWLHiUltPcvXhRNfeqFRA\nTIzUsfJPPwFCSPe/ffqpdIO3sc5qDxhjrYS1tXVVQkJCsr7jaCmc6NqLzEyp9LZxo1R6695durH7\npZeAvn31HR1jjOkMJzpDVlkpldq++ALYv//v0tvKlcDYsVx6Y4y1C5zoDFF6OrBpk/TIzZV6L5k9\nWyq9OTnpOzrGGGtRnOgMRVmZ1LfkF18Ahw9L/UuOHi110zV6NGDEHzVjrH3is19bd+GC1Gpy2zbg\nxg2pxLZgATB5MuDgoO/oGGM6FBkZ2eO7776zkclkQiaTYe3atZdCQkJuBwUFuV+9etXYzMysSr1e\nzuTJk2/K5fJAV1fXUqVSSXK5XEREROTPmzcvT27gtxBxomuLCgqkkbq//BKIiwNMTIBx46SqyZAQ\nHi2AsXbg0KFDHQ4cOND5woULSebm5iInJ8eovLy8ujeHLVu2XHz44YdLtLcxNTWtUigUSQCQlZVl\nNGHChL6FhYXyFStWZLd0/C2Jz4hthRDA0aNS/5J2dsC//iVVV65cKQ1oumOH1EUXJznG2oWsrCzj\nLl26KM3NzQUA2NnZKe9lfDgHBwfll19+mbF58+Zumn4qDRWfFVu7K1eARYsAV1ep+60ff5SS3cmT\nwPnzwOuvA7a2De6GMWZYHn/88cLs7GwTJycnn2effbbXTz/9ZKm9XDNenIeHh1dubm6tdZNeXl4V\nKpUKmj4nDRUnutaovFzqVzI0VOpzcs4coGdP4KuvgJwcaSSBoCDuc5KxdqxTp05VCQkJSatXr77U\ntWtX5T//+U/nVatWVY/pphkvTqFQJPXo0aPR/VgaIoPO4m2KENJgpps3A19/LQ2H07On1CXX888D\nzs76jpAx1soYGRkhPDy8KDw8vMjX17d069atNjNmzMhv7PZJSUkmcrkcDg5NGwC2teNEp295ecD2\n7UBUlNSC0sxMalgyebLUsMTAW0Mxxu7PuXPnTGUyGfr161cOAGfPnjXXDMnTGNnZ2UYvv/xy78mT\nJ1+VGfi1fU50+lBeLvVYEhUljRagUgGDBkkjd0dE8DhvjLEGFRYWymfMmNGrsLBQLpfLhZOTU/lX\nX311qb5tysvLZR4eHl6a2wsmTpyYP3/+/LyWillfONE1kUqlQkxMDM6ePYuAgACEhYWh1ntShJBu\nBfjqK+Cbb6R73uzsgLffBv75T8DLq+WDZ4y1WUOGDCk5e/asorZlf/zxR0pt81Uq1WndRtU6caJr\nApVKhXGjRiHryBGMrKrCfEtbW4TsAAAgAElEQVRLbBg0CN8fOPB3srtyRbqZe8sWIDlZqpp8/HEp\nuT36KPdYwlg7YW9v65eTk3/HH7ydnY0yO/v6OX3F1F7wWbYJYmJikHXyJE5UVcEYwAfFxRh08iRi\ndu9GeFmZlNx++UUqzT30kDQ0zoQJXDXJWDuUk5NvdOTInfMeeSSfz8EtgN/kJjh79ixG3r4NzRgA\nxgBGFRcj/plnEF5ZKQ1/M38+8Oyz3GqSMcb0xLCb2uhYQEAAfu7QAZquCCoBHADgHxIC/O9/QFqa\nlOg4yTHG2rilS5d2Xb16tQ0ArFq1yiYjI+Oex/lycHDol5OT0+IFLC7RNUFYWBg2DBqEQYcPY5QQ\nOGBqCscHHkDYTz/xbQGMMYMya9asa5rn27Zts/X39y+9ly7H9ElnJToi2kREV4koQWveBCJKJKIq\nIhpQz7ZvqtdLIKJviMhMV3E2hVwux/cHDuCDPXvQYcECfLBrF74/eLD2VpeMsXbNzs5G+cgjgPbD\nzs7mvm/UTklJMenTp4/3+PHjnZycnHzGjh3b54cffrDq37+/R+/evX2OHDliceTIEQt/f38PT09P\nr4CAAI9z586ZAkBRUZFs9OjRfZ2dnb1HjBjh7Ovr6xEbG2sBABYWFgHTp093cHd39/Lz8/PIzMw0\nAoC33nrLft68ed03b95snZCQYKHpYqy4uJi0S2qxsbEWQUFB7gCQm5srf/DBB11dXFy8J06c2FsI\nUR3/2rVru/Tr18/Tw8PD6+mnn+6tVOrunnVdVl1GAQitMS8BwBMAYuvaiIgcAMwAMEAI4QNADiBC\nRzE2mVwuR3h4OObMmYPw8HBOcoyxWmVnXz8nhDit/Whqi8vMzEyzyMjIvPT09IT09HSz7du328TF\nxSkWLVp0ZdGiRXZ+fn5lp06dUiQnJyfNnz8/a9asWY4AsGzZsq6dO3dWpaenJy5evDgrKSmpg2af\npaWlsuDg4OKUlJSk4ODg4s8++6yr9jEnT55808fHp0TTxZilpaWoGZfGu+++ax8cHFyclpaWOG7c\nuFs5OTkmAHDmzBmzXbt2dYmLi1MoFIokmUwm1q1bZ1PXfppKZ1WXQohYInKqMS8ZAKjhPhqNAJgT\nUSUACwAGPYQEY4zdDwcHh/KgoKBSAHBzcysNCQkplMlk6N+/f8nChQvtb9y4IZ84cWKfjIwMMyIS\nlZWVBADHjx+3fP31168CwMCBA8vc3Nyqh/MxNjYWERERBQAQGBh4+9ChQx3vN74TJ05Y7d69Ow0A\nIiIiCqZOnaoCgP3791slJCRY+Pn5eQJAWVmZrFu3bjor0rW6a3RCiCwi+hjAZQClAH4WQvys57AY\nY6zVMTExqS5NyWQymJmZCUCqaVKpVBQZGekwdOjQooMHD6anpKSYhISEuDe0TyMjI6HpEszIyAhK\npbLBkolcLheaoX5KS0sbrCkUQtCECRPy16xZk9XQus2h1bW6JCJrAI8B6APAHkAHInq2nvWnEFEc\nEcVdu3atrtUYY6zdKSwslGv6v1y/fn31eF7BwcHFO3bssAaA06dPm6Wmpprfy34tLS1VBQUF1ddp\nHB0dK44dO2YBADt37rTWzB88eHBRVFSUjXp+x8LCQjkAhIaGFkZHR1trhgfKy8uTp6ammtz/K61f\nq0t0AB4F8JcQ4poQohLAbgAP1LWyEGKDEGKAEGJA165d61qNMcbancjIyNz333/f0dPT00u7scfM\nmTOv5efnGzk7O3vPnj3bwcXFpcza2rrRQ/lMmjTp+vTp03trGqPMmzcve9asWb18fHw85XJ5dSlz\nyZIl2ceOHbN0cXHx3r17t7WdnV0FAAQGBpbNmTMna/jw4W5ubm5eISEhbpmZmfd8u0JjkXYrmGbf\nuXSNLlrdqER7/q8A3hFCxNWyzSAAmwAMhFR1GQUgTgjxWUPHGzBggIiLu2uXjDHWJER0WghxR0vx\nHj16ZOTm5l7XV0xNoVQqUVFRQRYWFiIxMdF05MiRbunp6Qmaqs+2qkePHra5ublONefr7BodEX0D\nYBgAWyK6AmA+gBsAPgPQFcBPRBQvhBhFRPYAvhRCjBZCnCSiXQDOAFACOAtgg67iZIyx9qaoqEg2\nZMgQ98rKShJCYMWKFZfaepKrjy5bXT5Vx6Lva1k3G8Boren5kBIjY4yxZmZtbV2VkJCQrO84Wkpr\nvEbHGGOMNRtOdIwxxgwaJzrGGGMGjRMdY4wxg8aJjjHG2qjMzEyjMWPG9HF0dOzn7e3t6e/v77Fl\nyxYe2bkGTnSMMdYGVVVVYcyYMS5DhgwpvnLlyoXExMTknTt3XszMzNRZDyNtFSc6xhhrg/bu3Wtl\nbGwstMeJc3Nzq3jvvfeuAtLgqJMmTeqlWfbII4+4REdHWwHA7t27O/r7+3t4eXl5hoWF9S0oKJAB\nwLRp0xycnZ293dzcvKZMmeIIAJs2bbJ2dXX1dnd39xowYECDfWW2Rq2uU2fGmOEaNmwYAODXX3/V\naxyG4MKFC+a+vr4lDa95p5ycHKPFixfbxcbGpnbs2LHqvffe67FgwYLu77zzztV9+/ZZX7x4MUEm\nk+H69etyAFiyZIndzz//nNqnT59Kzby2hkt0jDFmAJ577rle7u7uXj4+Pp71rffrr792SE9PNwsK\nCvLw8PDw2rFjh83ly5dNbGxsVKamplUTJ050+uqrrzpbWlpWAcCAAQOKn3nmGafly5fb6nJwVF2q\ns0RHRP3r21AIcab5w2GMMdYY/fr1K/3xxx+rRwrYunXr5ZycHKMBAwZ4AtJwO5qhcwCgvLxcBgBC\nCDz00EOFe/fu/avmPuPj45P37NnTcdeuXdaff/55txMnTqR+/fXXlw8fPtxhz549nQIDA71Onz6d\n1KNHj0Z3AN0a1Feii4PUofLH6sdyrcfHOo+MMcZYncaMGVNUXl5OH330UfWwLcXFxdXndGdn54rE\nxEQLlUqFtLQ04/Pnz3cAgGHDht2Oi4uzTEhIMAWAwsJC2fnz500LCgpk6oFaC9atW5epUCgsACAx\nMdE0JCTk9sqVK7Otra2VFy9ebHONXeq7RvcWgCchjSCwA8D3QojiFomKMcZYvWQyGfbu3Zv+6quv\n9ly1alWPLl26KC0sLFTvv//+FQAYMWJE8Zo1a8pdXFy8XVxcyry8vEoAwN7eXrl+/fqMiIiIvhUV\nFQQA8+fPz+rUqVNVeHi4S3l5OQHAggULMgHgzTffdMzIyDAVQtBDDz1UOHjw4FJ9veb71eAwPUTU\nF0AEpMFQLwFYLISIb4HY7hkP08NY69ZWG6MY2jA9huq+h+kRQlwkoh8BmAN4DoAbgFaZ6BhjrLWy\nt7X3y8nPueOca2djp8y+nn1OXzG1F/U1RtEuyWVCqr5cLIRoc8VWxhjTt5z8HKMjOHLHvEfyH+Fb\nvFpAfY1R0gD8A8B+AL8D6AXgFSJ6i4jeaongGGOMtQ5Lly7tunr1ahtAuhk9IyPD+F734eDg0C8n\nJ6fFk3t9B/wAgOYCnmULxMIYY6yV0u6BZdu2bbb+/v6lTk5OlfqMqbHqTHRCiPdbMA7GGGP3ICUl\nxSQ0NNS1f//+t0+fPm3p6+t7+4UXXrj+wQcfOOTn5xtFRUVdBIA333yzV3l5uczMzKwqKirqLz8/\nv/KioiLZxIkTnVJSUsz79u1blpeXZ7x69erLDz/8cImFhUXAiy++ePXnn3/uZGZmVhUdHZ3Ws2dP\n5VtvvWVvaWmp6tOnT0VCQoLFpEmT+pqZmVXFxcUlu7u7+8TFxSXb2dkpY2NjLd55552ef/zxR0pu\nbq58/PjxffPy8kwCAwOLtRs/rl27tsvnn3/evbKykvr37397y5Ytl4yMdFPY455RGGOsBdjZ2Ckf\nwZ3/7GzsmtTVSGZmpllkZGReenp6Qnp6utn27dtt4uLiFIsWLbqyaNEiOz8/v7JTp04pkpOTk+bP\nn581a9YsRwBYtmxZ186dO6vS09MTFy9enJWUlNRBs8/S0lJZcHBwcUpKSlJwcHDxZ5991lX7mJMn\nT77p4+NTsmXLlosKhSLJ0tKyzqb77777rn1wcHBxWlpa4rhx427l5OSYAMCZM2fMdu3a1SUuLk6h\nUCiSZDKZWLdunU1T3ov68IVQxhhrAbpoXeng4FAeFBRUCgBubm6lISEhhTKZDP379y9ZuHChvfoG\n8D4ZGRlmRCQqKysJAI4fP275+uuvXwWAgQMHlrm5uVX3mWlsbCwiIiIKACAwMPD2oUOHOt5vfCdO\nnLDavXt3GgBEREQUTJ06VQUA+/fvt0pISLDw8/PzBICysjJZt27ddNa/GCc6xhhro0xMTKpLUzKZ\nDGZmZgIA5HI5VCoVRUZGOgwdOrTo4MGD6SkpKSYhISENjj5gZGQkZDKZ5jmUSiU1tI1cLq/ubqy0\ntLTBmkIhBE2YMCF/zZo1WQ2t2xzuqeqSiKJ1FQhjjLHmVVhYKHd0dKwAgPXr19tq5gcHBxfv2LHD\nGgBOnz5tlpqaan4v+7W0tFQVFBRUj2Tg6OhYcezYMQsA2LlzZ3X/m4MHDy6KioqyUc/vWFhYKAeA\n0NDQwujoaOusrCwjAMjLy5OnpqbqrGuxe71G56CTKBirx7Bhw6p71GCMNV5kZGTu+++/7+jp6eml\nPfLAzJkzr+Xn5xs5Ozt7z54928HFxaXM2tq60R01T5o06fr06dN7e3h4eBUXF9O8efOyZ82a1cvH\nx8dTLpdXlzKXLFmSfezYMUsXFxfv3bt3W9vZ2VUAQGBgYNmcOXOyhg8f7ubm5uYVEhLilpmZec+3\nKzRWg12A3bEy0SYhxAu6CqapuAsww9RWu41id2urn6WhdQGmVCpRUVFBFhYWIjEx0XTkyJFu6enp\nCZqqz7bqvrsA09aakxxjjLHGKSoqkg0ZMsS9srKShBBYsWLFpbae5OrDjVEYY6ydsba2rkpISEjW\ndxwthe+jY4wxZtA40THGGDNoDVZdEtEAAO8B6K1enwAIIYSvjmNjjDHGmqwx1+i2A5gJ4AKAKt2G\n0za11ZZkjDHWHjSm6vKaEGKPEOIvIcQlzUPnkTHGGKvX5cuXjcLDw/v27NnTx9vb23Po0KEu58+f\nNwWA8+fPmw4dOtSld+/ePl5eXp6jR4/um5mZaRQdHW1FRIGffPJJ9Q3kx48fNyeiwHnz5nWveYzs\n7GwjX19fD09PT6/9+/dbDh061OX69evy69evy5csWdK15vqtUWMS3Xwi+pKIniKiJzQPnUfGGGOs\nTlVVVRg7dqzLww8/XJSZmZmQmJiYvGTJkqzs7GzjkpISGjNmjOvUqVOvXbp0KSEpKSl52rRp13Jz\nc40AwNXVtfS7776r7sFk69atXdzd3WsdVDs6OtrK09OzNDk5OSk0NLT46NGjaba2tqr8/Hz5xo0b\nu7XU622KxiS6yQD8AYQCGKN+hOsyKMYYY/WLjo62MjIyEtrjxAUHB5eGhoYWb9iwoUv//v2Ln376\n6QLNsvDw8KKBAweWAYCDg0NFeXm5LDMz06iqqgqHDx/uNHz48IKaxzh+/Lj5/PnzHX/++efOml5Q\nNIOnvv32246ZmZmmHh4eXlOnTnVsmVd9fxpzjW6gEKLBjkAZY4y1nPPnz5v7+fmV1LYsISHBvH//\n/rUu03j88cdvbt261XrAgAEl/fr1KzE1Nb3rhvEHHnigdPbs2dlxcXEdtmzZcll72fLly6+Eh4eb\nKxSKpKa9Et1rTKI7TkReQoh7ejFEtAlSye+qEMJHPW8CgPcBeAIIEkLU2l8XEXUG8CUAH0ijnL8g\nhPj9Xo7PGGMt5oUXeiIhwaJZ9+njU4JNmzKbdZ9aJk2adGP8+PHOCoXC/Omnn77xv//9z1JXx9K3\nxlRdDgYQT0QpRHSeiC4Q0flGbBcFqbpTWwKAJwDENrDtpwD2CyE8APgBaDd38DPGWGP069ev9Ny5\nc7UmV29v77IzZ87Um3h79eqlNDY2FrGxsR3Hjh1bqJsoW4fGlOhqJqtGEULEEpFTjXnJAEBU9/BG\nRNQJwMMAnldvUwGg4n5iYIyxFqHDklddxowZUzR37lz6+OOPbd95553rAHDy5Enzmzdvyl9++eX8\nFStW9NixY0cnzSCqMTExlra2tncMbvqf//wnKzc319jI6N57g+zUqZPq9u3bbaLTkcYMkHeptocO\nY+oD4BqAzUR0Vt3is0NdKxPRFCKKI6K4a9eu1bUaY4wZFJlMhj179qQfPny4Y8+ePX1cXFy8IyMj\nHRwcHCotLS3Fjz/+mLZmzZpuvXv39nF2dvZes2ZNtx49etyR6EaMGHH7ueeeu3U/x+/Ro4cqMDCw\n2NXV1bu1N0a5p2F67nnnUokuWnONTmv+rwDeqe0anbonlhMAHhRCnCSiTwEUCiHmNnQ8fQ3TwzeM\n6xa/v4ajrX6WhjZMj6Gqa5ie1ljsvALgihDipHp6F4D+eoyHMcZYG9bqEp0QIhdAJhFpbmkYDqDV\nN19ljDHWOuks0RHRNwB+B+BORFeI6EUiGkdEVwAEA/iJiA6o17Unon1am08HsF3dutMfwGJdxckY\nY8yw6WzgVSHEU3Us+r6WdbMBjNaajgcwoOZ6jDHG2L1qdVWXbY1KpUJ+fj4uXbqE6OhoqFQqfYfE\nGGNMCye6JlCpVBg1ahSSkpKQkZGBp556CqNGjeJkxxhjrQgnuiaIiYnByZMnUVUlDdNXXFyMkydP\nIiYmRs+RMdb6cO1H85PL5YEeHh5erq6u3iEhIS7Xr1+X38v2b731ln1tQ/OkpKSYuLq6ejdfpHdr\niWNo6OwanT6kpKQgPj4e/v7+OHToEBYuXHjXOuvXr4e7uzv27t2L5cuX37V869at6NmzJ/773//i\n888/v2v5rl27YGtri6ioKPznP/9BcXHxHctv376N+Ph4XL58GTt37rxre839Qx9//DGio6PvWGZu\nbl6dJBcsWIBffvnljuU2Njb47rvvAACzZ8/G77/f2f2no6Mjtm3bBgB44403EB8ff8dyNzc3bNiw\nAQAwZcoUpKam3rHc398fK1euBAA8++yzuHLlyh3Lg4OD8eGHHwIAxo8fj/z8/DuWDx8+HHPnSrc7\nhoWFobT0zlE/wsPD8c477wD4+34qbf/4xz8wbdo0lJSUYPRo6ZKtEAJxcXFQqVR44403sHz5cty8\neRNPPvnkXdu/8sormDhxIjIzM/Hcc8/dtfztt9/GmDFjkJKSgqlTp961fM6cOXj00UcRHx+PN954\n467lixcvxgMPPIDjx4/j3//+913LV65c2WLfvaioqLuW79u3DxYWFli7dm2r++65uLggIyMDSUlJ\nqKqqwmOPPYaOHTvC19cXRNQqv3ttgampaZWmU+UnnnjCadmyZV0/+uijXH3H1dpwia4JLC0tIZPd\n+RZaWFjA399fTxEZFiEEzp8/j5KSEpSXl2PdunVcNdxGZWZm3lH7UVVVhcLCQty4cUPPkRmOwYMH\n387KyjLRTM+dO7e7j4+Pp5ubm9ebb75pr5kfGRnZw8nJyScwMND9zz//NNXM/+233yzc3d293N3d\nvT755JPqceaUSiWmTp3qqNnXsmXLbAFpmKCgoCD30NDQvn369PEeO3ZsH83n+9tvv1kMHDjQ3dvb\n2/Ohhx5yvXTpknF9x9A5IYTBPAIDA0VLUiqVYvjw4UImkwkAwtLSUgwfPlwolcoWjcNQ7d27V1ha\nWgpII1hUv8d79+7Vd2jsHn3wwQeCiO74LIlILFiwQN+hNQqAOFHjfNO9e/cMIUScPh/m5uYqIURc\nZWVlXGho6I1vv/02VQgR991336VGRERcU6lUcUqlMm7YsGG39u3bp4iNjU1ydXUtKSwsPJOfn3+m\nZ8+eZXPnzs0UQsS5urqW7Nu3TyGEiJsyZUqui4tLqRAibtmyZRkzZ87MEkLElZSUnPb29r6dnJx8\nfu/evSmWlpbKtLS0c0qlMs7Pz694//79irKystP+/v7FWVlZ8UKIuA0bNqQ/+eST1+s7RnM91J/J\nXbnBoKouW5pcLseBAwfg7++P4uJifPbZZwgLC4Ncfk/V5KwOZ8+exe3bt++Yp6kaDg/nsX/bkoCA\nAHTo0OGOqv4OHTpw7UcTlZeXyzw8PLzy8vKMnZ2dyx5//PFCANi/f3/H2NjYjl5eXl4AUFJSIlMo\nFGZFRUWy0aNH37KysqoCgJEjR94CgOvXr8uLiorkYWFhxQDwwgsv5B8+fLgTABw6dKijQqGw2LNn\njzUAFBUVyZOSksxMTExEv379bjs7O1cCgLe3d0l6erpJly5dlH/++ad5SEiIGyCV3rt27VpZ3zF0\njasum0gul8PGxga9e/dGeHg4J7lmFBAQgJpdsQohsHz5Kv0ExO5bWFgYyssr75hXXFyMF198VU8R\nGQbNNbrLly9fEEJgyZIl3QDp7+SNN97IUSgUSerlCW+++eZ99csphKDly5df1uwrKyvrwhNPPFGo\nPn71X6hcLodSqSQhBLm4uJRq1k9NTU06duzYn83ziu8PJ7om6tHDCUePHsXRo0dBRCAi9OjhpO+w\nDEJYWBikWi5LAKT+fzhu3eJRKtoauVyOyspyAHsBLFD/r8TVq5fr35A1ipWVVdWqVasur127tntl\nZSXCwsIKt27daltQUCADgL/++ss4KyvLKCQkpHjfvn2di4uL6ebNm7KDBw92BgBbW1uVlZWV6sCB\nA5YAEBUV1UWz7xEjRhR8/vnnXcvLywkAzp8/b1pYWFhn7vD19S27ceOG0aFDhzoAQHl5OcXFxZnV\ndwxdM6iqy5QUoGaDqsWLgQceAI4fB/79b2D9esDdHdi7F6il4dtdaq6/axdgawtERUmPvLwoAHce\nNC/v1+o4aq6v6bT944+BGg3faqW9/u+/A+qGb5g9W5quj43Nnevn5wPqRpeYMgWo0ejyLm5ud65v\nYwOoG75h/Hhpf/UJDr5z/eBgQN3w7a7PqTbh4ZrS8TcA4iH1BhcGoHujtn/+eelx/Trw5JPA228D\nY8ZI35NaGl3epeb6Nb9LDdH1d68hre27JwlXPzSO1PpZ6v+7d2/rN1pQkNSH7x9/pDTjXgEADz74\nYKmHh0fphg0burz66qs3EhMTzQYOHOgBABYWFlXbt2//66GHHioZN27cDR8fH28bG5tKX1/f6msD\nGzduzHjppZeciAjDhg2rHoj1zTffvJ6RkWHar18/TyEEdenSpXLfvn3pdcVhZmYmduzYkT5jxoxe\nRUVFcpVKRa+88kregAEDyuo6hq4ZVKJjhqrmyZExBgAlJSVntacPHz6cpnk+d+7cq3Pnzr1ac5uP\nPvoot7ZbEIYMGVKSkpKi3YH+FUAqja9evToLQJb2+uHh4UXh4eFFmuktW7ZUF88feOCB0ri4uLuS\neV3H0DWdjkfX0vQxHp00WnrN95BgSO+rPvH7azja8mfZHOPRKZVK/OTp6XW2pETu/vHHlydMmFBw\nPyN7s7q1pfHoGKvWvXtvSNfn/n5I81hb054/S6VSidAhQ1w/uHjRvDw722Tpiy/2DR0yxFWpVDa8\nMWsyTnRN1J7/eFtCbm4Ghg4diqFDh1bfE5Obm6HvsNh9aM+f5bffftsp/9w5yxNVVfgQwB+lpbLr\n585Zfvvtty3SvL6940TXRO35j5cx1jhnzpyxCC0rkxmrp40BhJWVyc6ePWuhz7juxdKlS7uuXr3a\nBgBWrVplk5GRYdzQNjU5ODj0y8nJafH6Wk50jDGmY/379y/Zb2ZWpbmTsBJAjJlZVUBAQIk+47oX\ns2bNuvbaa6/lA8C2bdtsL1++fM+JTl840THGmI5NmDChwMbPr3iQTIbZAAaam1fZ+vkVT5gwoeB+\n95mSkmLSp08f7/Hjxzs5OTn5jB07ts8PP/xg1b9/f4/evXv7HDlyxOLIkSMW/v7+Hp6enl4BAQEe\n586dMwUAdQ8pfZ2dnb1HjBjh7Ovr6xEbG2sBABYWFgHTp093cHd39/Lz8/PIzMw0Av4e6WDz5s3W\nCQkJFpMmTerr4eHhVVxcTNoltdjYWIsg9W0Uubm58gcffNDVxcXFe+LEib21Gx6tXbu2S79+/Tw9\nPDy8nn766d66vF7JiY4xxnTMyMgI+3/77c/5ffuWmtnbV0Ru3Hhx/2+//dnUVpeZmZlmkZGReenp\n6Qnp6elm27dvt4mLi1MsWrToyqJFi+z8/PzKTp06pUhOTk6aP39+1qxZsxwBYNmyZV07d+6sSk9P\nT1y8eHFWUlJSB80+S0tLZcHBwcUpKSlJwcHBxZ999llX7WNOnjz5po+PT8mWLVsuKhSKJHV/tLV6\n99137YODg4vT0tISx40bdysnJ8cEAM6cOWO2a9euLnFxcQqFQpEkk8nEunXrbJr0ZtSD27YyxlgL\nMDIywmPW1qrHrK1VeOqp+y7JaXNwcCgPCgoqBQA3N7fSkJCQQplMhv79+5csXLjQ/saNG/KJEyf2\nycjIMCMiUVlZSQBw/Phxy9dff/0qAAwcOLDMzc2tugrV2NhYREREFABAYGDg7UOHDnW83/hOnDhh\ntXv37jQAiIiIKJg6daoKAPbv32+VkJBg4efn5wkAZWVlsm7duumsSMeJjjHGWkoz94hiYmJSXZqS\nyWQwMzMTgHSTt0qlosjISIehQ4cWHTx4MD0lJcUkJCTEvaF9GhkZCc3wY0ZGRlAqldTQNnK5XGiG\n6CktLW2wplAIQRMmTMhfs2ZNVkPrNgeuumwGv/76a/Wglowx1loUFhbKHR0dKwBg/fr1tpr5wcHB\nxTt27LAGgNOnT5ulpqaa38t+LS0tVQUFBdU92Ds6OlYcO3bMAgB27txprZk/ePDgoqioKBv1/I6F\nhYVyAAgNDS2Mjo62zsrKMgKAvLw8eWpqqgl0hBMdY4wZqMjIyNz333/f0dPT00u7scfMmTOv5efn\nGzk7O3vPnj3bwcXFpcza2rrRIxpPmjTp+vTp03trGqPMmzcve9asWb18fHw85XJ5dSlzyZIl2ceO\nHbN0cXHx3r17t7Wdnc6byn4AABhnSURBVF0FAAQGBpbNmTMna/jw4W5ubm5eISEhbpmZmTprxcld\ngDVRr149kJmZd8e8nj274/JlHs2+uQxT96rLpea2r61+ls3RBVhrolQqUVFRQRYWFiIxMdF05MiR\nbunp6Qmaqs+2qq4uwPgaXRNlZubhyJE75z3ySF7tKzPGWCtQVFQkGzJkiHtlZSUJIbBixYpLbT3J\n1YcTHWOMtTPW1tZVCQkJyfqOo6XwNTrGGGMGjRMdY4wxg8ZVl03Us2f3u67J9ezZXU/RMMYYq4kT\nXRNx60rGGGvduOqSMcbaKLlcHujh4eHl4uLi7e7u7jV//vzuKlWjb4e7J6tWrbKZNGlSr9qWWVhY\nBOjkoM10DC7RMcZYG2VqalqlUCiSACArK8towoQJfQsLC+UrVqzIbsz2lZWVMDZuM6Pt3Dcu0THG\nmAFwcHBQfvnllxmbN2/uVlVVBaVSialTpzr6+Ph4urm5eS1btswWAKKjo60CAwPdQ0JCXFxdXX2A\nuofM+fTTT22cnJx8+vXr53n8+HFLzbEUCoWJv7+/h5ubm9eMGTPsteOYO3dud80x33zzTXtAGlKo\nb9++3hEREb1dXFy8H3zwQdfi4mICgMTERNMhQ4a4ent7ewYGBrqfPXvWrKFj3CtOdIwxZiC8vLwq\nVCoVsrKyjFauXGnbqVMnVUJCQvK5c+eSv/rqq64KhcIEAJKSkizWrl17OSMjI6GuIXMuXbpkvGTJ\nEvvjx48rTp06pdDuD3PatGm9XnrppWupqalJdnZ2mvFksXv37o5paWlm58+fT05OTk6Kj4+3iImJ\nsQSAy5cvm82YMeNqWlpaYqdOnVRbtmyxBoCXXnqp99q1ay8nJiYmL1u27Morr7zSq75j3A+dVV0S\n0SYA4QCuCiF81PMmAHgfgCeAICFEnf11EZEcQByALCFEuK7iZK1fW+suirHW4NChQx0VCoXFnj17\nrAGgqKhInpSUZGZiYiJ8fX1ve3h4VAB1D5kTGxvbYfDgwUX29vZKAHjiiSdupKammgHAmTNnLGNi\nYtIBYOrUqfkLFixwVO+rY2xsbEcvLy8vACgpKZEpFAqzvn37Vjg4OJQ/8MADpQAQEBBQkpGRYVpQ\nUCA7e/as5YQJE5w1cVdUVFB9x7gfurxGFwVgNYAtWvMSADwBYH0jtn8dQDKA+x4LiTHG2pOkpCQT\nuVwOBwcHpRCCli9ffnn8+PGF2utER0dbWVhYVGmm6xoyZ+vWrZ3rO5ZMJruryzAhBN54442cmTNn\n3tEHaEpKion2kEJyuVyUlpbKVCoVrKyslJrrjI05xv3QWdWlECIWwI0a85KFEA2Ox0REjgD+D8CX\nOgqPtRG9evUAEd3x6NWrh77DYuy+BAUFuQcFBTU4Jtz9yM7ONnr55Zd7T548+apMJsOIESMKPv/8\n867l5eUEAOfPnzctLCy865xf15A5Dz/88O2TJ09a5ebmysvLy+n777+vHn6nf//+xV988UUXAPji\niy+qRwYPCwsr3Lr1/9u79+gqqzOP498nF4gRiIFQLrmAAZMAUQpeFqnjCDi1DEW7kFJCl7X0gnaW\nIvUG0tbLasV6aatLwVk6FWkrAyMWndY67dgWBgZh8ALYBIgapIlyESKG0AC57fnjfUNPQi6HJCcn\n583vwzor79lnv+c8O+fkPOz33e/ev0qrrKyMA/jggw8SG5+3JQMHDmzIyMioWbFiRSpAQ0MDW7Zs\nOaet1+iInjrq8nFgEdD/bHaqri5h+/bJTcqysx8kJeVzVFa+zt693yM392mSk3M5cuS3lJf/tN3n\nbF5/3LgX6dMnjQMHVnLw4Mp2929ef8KEDQCUlf2EiopX2t0/tP6xY1vIz/81AHv3LqGyckub+yYm\nDmpSv7a2gtzcZwAoKbmR6up329w/OTmnSf3ExEFkZ/8YgKKiWdTWVrS5f0pKQZP6AwYUkJV1J8AZ\n71NLBg2a0eKk2V/60qGw9h86dB7Dhs2jpuYIxcVfJjPzDtLSrqG6uoSSkpva3b95/eafpfbos9fy\nZ++aa95t9/3rCZ+9s6kfLadOnYrLy8sbW1dXZ/Hx8W7OnDkV99133yGA22677ci+ffv6XnjhhWOc\nczZw4MDaV199tbT5c4QumdPQ0EBiYqJ74oknyq666qq/LV68eP+kSZPG9O/fvz4/P//0KuRPPfVU\nWWFhYfbjjz8+dNq0aZ82ll933XXHiouLky699NI8gOTk5IZVq1Z9kJCQ0GrPbPXq1Xvnz58/4uGH\nHx5WV1dnM2fO/KSgoOBEa6/RET0u0ZlZ43m9t8xschj1bwRuBBg9um+EoxMR6Zi6ujqOHj0aX11d\nHb969eqU2bNnVyYkdO4ruL6+/q3WHouPj2fZsmUfAU0OSc6YMaNqxowZVaFl8+fPPzp//vyjzZ9j\n4cKFFQsXLjzjfxV5eXk1O3bs2NN4/4knnjh9OcM999zz8T333PNx833ee++94sbtH/7wh6enk8rL\ny6vZtGnTe2fzGmcrouvRmdlI4JXGwSgh5RuAO1sajGJmPwa+BtQBSXjn6NY5565v7/WisR6dRJaZ\ntbAMkncuQGJPb12Prq6ujiuuuOKCbdu2DWhoaOCcc85pGD9+/PFNmza919lkJ3/X2np0Pe7yAufc\nEudchnNuJFAI/DmcJBctWUOzzjyHNLTFyQNEpJdau3Ztys6dO/s1NHhjQE6cOBG3c+fOfmvXrk2J\ncmi9QiQvL1gNTAbSzOxD4D68wSlPAoOB35nZDufcF8xsOPBz59z0SMUTKeWHyllP0y7HlENTohRN\n8GjSbAmCt99+O/nkyZNNOhYnT56M2759e/LcuXMroxVXbxHJUZdznXPDnHOJfg/tWefcS/52X+fc\nEOfcF/y6+1tKcs65DbqGrncrKzuIc67JTRNpS6yZOHFidVJSUkNoWVJSUsOECROqW9unp3nkkUcG\nL1u2bBB4817u27fvrOcOS09Pv/DAgQPdfqy2xx26FBEJmtmzZ1eOHz/+eFyc95XbeI5u9uzZMdOb\nW7Ro0eFbbrmlAuD5559PKysri5lJMpXoREQiLCEhgU2bNr2XnZ19Yvjw4TXPPvvs3s4ORCkpKelz\n/vnnj5s1a9bIkSNH5l977bXnv/zyy/0nTpyYN2LEiPz169cnr1+/Pvmzn/1s3pgxY8ZOmDAhb+fO\nnX0Bqqqq4qZPn549atSocZ///OdHXXTRRXkbN25MBm+VgAULFqTn5uaOHT9+fF55eXkCwO233z78\n3nvvHfLcc8+lFhUVJd9www3ZeXl5Y48fP26hPbWNGzcmN14rePDgwfjLL7/8gtGjR4+bM2fOiNBB\nZK3NrxkJSnSdlDkkkynN/mUOyYx2WCLSwyQkJJCamlqfnp5eM3fu3E5fWgBQXl6etHjx4kOlpaVF\npaWlSatWrRr05ptv7lm6dOmHS5cuHTZ+/PiTb7zxxp7du3fvuu+++z5atGhRBsCjjz46+Lzzzqsv\nLS0tfvDBBz/atWvXuY3PeeLEibiCgoLjJSUluwoKCo4/+eSTg0Nf8xvf+MbR/Pz86l/+8pd79+zZ\ns6tfv36tDoG+++67hxcUFBx///33i2fOnPnpgQMH+gC0Nr9mp38hrdC41k4qO1gW7RBEJEZs27at\n3ZmhzkZ6evqpyy677ARATk7OialTpx6Li4tj4sSJ1Q888MDwTz75JH7OnDnn79u3L8nMXG1trQG8\n/vrr/RYuXPgxwKWXXnoyJyfn9LnCxMREV1hYWAlw8cUX/+2Pf/xjh6dh3Lp1a/9169a9D1BYWFh5\n00031UPr82t29HXao0QnIt0m1q6f6+lC54+Mi4sjKSnJgXexeH19vS1evDj9yiuvrHrttddKS0pK\n+kydOrXd6ccSEhJc47nEhIQE6urqrL194uPjXeilE+3Vb21+zUjRoUsRkYA6duxYfEZGRg3A008/\nndZYXlBQcHzNmjWpAG+99VZS6BI84ejXr199ZWVlfOP9jIyMms2bNycDvPDCC6fnxJw0aVLVypUr\nB/nlA44dOxYPrc+v2fGWtk2JTkS6hSbo7n6LFy8+eP/992eMGTNmbOhgj7vuuutwRUVFwqhRo8Yt\nWbIkffTo0SdTU1Prw33eG2644ciCBQtGNA5Guffee/cvWrQoKz8/f0x8fPzpXuZDDz20f/Pmzf1G\njx49bt26danDhg2rgabza+bk5IydOnVqTnl5ecRGcUZ0CrDupinARHquWJ7OrbNTgPU0dXV11NTU\nWHJysisuLu579dVX55SWlhY1HvqMVa1NAaZzdCIivUxVVVXcFVdckVtbW2vOOR577LG/xnqSa4sS\nnYhIL5OamtpQVFS0O9pxdBedoxMR6ZiGxkVNJfr896KhpcfUoxORbhHACbqLli9fPvbmm2+u7Nu3\nb2AP+8WCU6dO2fLly1OAopYe12AUEZF2tDQYxcw+M2TIkJ8D+ejoWLQ1AEWHDh36tnPujEVf1aMT\nEekA/wv12mjHIe3T/0JERCTQlOhERCTQlOhERCTQlOhERCTQlOhERCTQlOhERCTQlOhERCTQlOhE\nRCTQlOhERCTQlOikR8samnXmYp1Ds6IdlojEEE0BJj1a+aFy1tN0tc4ph6ZEKRoRiUXq0YmISKAp\n0YmISKAF6tBldUk12ydvb1KW/WA2KZ9LofL1SvZ+by+5T+eSnJvMkd8eofyn5e0+Z/P6414cR5+0\nPhxYeYCDKw+2u3/z+hM2TACg7CdlVLxS0e7+ofWPbTlG/q/zAdi7ZC+VWyrb3DdxUGKT+rUVteQ+\nkwtAyY0lVL9b3eb+yTnJTeonDkok+8fZABTNKqK2orbN/VMKUprUH1AwgKw7vfNrzd+nlgyaMajF\n8gEMCGv/ofOGMmzeMGqO1FD85WIy78gk7Zo0qkuqKbmppN39m9dv/llqjz57sf3ZO5v60rOpRyc9\nWuaQTKYwhR3s4CEeYgpTSB+cHu2wRCSGaOFVEZF2tLTwqsQO9ehERCTQlOhERCTQlOhERCTQlOhE\nRCTQIpbozGyFmX1sZkUhZbPNrNjMGsysxRO7ZpZpZuvNbJdfd2GkYhQRkeCLZI9uJTCtWVkRcB2w\nsY396oA7nHNjgUnAzWY2NiIRiohI4EXsgnHn3EYzG9msbDeAmbW13wHggL9dZWa7gXRgV6RiFRGR\n4OrR5+j8RDkB+L/oRiIiIrGqxyY6M+sH/Br4rnPuWBv1bjSzN83szcOHD3dfgCIiEhN6ZKIzs0S8\nJLfKObeurbrOuWecc5c45y4ZPHhw9wQoIiIxo8clOvNO4D0L7HbO/Sza8YiISGyL5OUFq4EtQK6Z\nfWhm3zKzmWb2IVAA/M7M/uDXHW5mr/q7Xg58DZhqZjv82/RIxSkiIsEWyVGXc1t56KUW6u4Hpvvb\n/wu0PixTRETkLPS4Q5ciIiJdSYlOREQCTYlOREQCTYlOREQCTYlOREQCTYlOREQCTYlOREQCTYlO\nREQCTYlOREQCTYlOREQCTYlOREQCTYlOREQCTYlOREQCTYlOREQCTYlOREQCTYlORLpF1tAszKzJ\nLWtoVrTDkl4gYguvioiEKj9UznrWNymbcmhKlKKR3kQ9OhERCTQlOhERCTQlOhERCTSdoxORbpE5\nJPOMc3KZQzKjFI30Jkp0ItItyg6WRTsE6aV06FJERAJNiU5ERAJNiU5ERAJNiU5ERAJNiU5ERAJN\niU5ERAJNiU5ERAJNiU5ERALNnHPRjqHLmFkVUBLtOCIkDTgS7SAiSO2LbUFvX65zrn+0g5COCdrM\nKCXOuUuiHUQkmNmbQW0bqH2xrje0L9oxSMfp0KWIiASaEp2IiARa0BLdM9EOIIKC3DZQ+2Kd2ic9\nVqAGo4iIiDQXtB6diIhIEzGX6MxsmpmVmNn7ZnZ3G/VmmZkzs5gaCdZe+8xsnpkdNrMd/u3b0Yiz\no8J5/8zsK2a2y8yKzezfuzvGzgjj/Xss5L1718w+jUacHRVG+7LMbL2ZbTezd8xsejTi7Igw2jbC\nzP7kt2uDmWVEI07pAOdczNyAeKAUyAb6ADuBsS3U6w9sBLYCl0Q77q5sHzAPWBbtWCPYvguA7UCq\nf/8z0Y67K9vXrP4CYEW04+7i9+8Z4F/87bHAvmjH3YVtWwt83d+eCvwq2nHrFt4t1np0lwHvO+f2\nOudqgDXAl1qo9yPgYeBkdwbXBcJtX6wKp33zgeXOuaMAzrmPuznGzjjb928usLpbIusa4bTPAQP8\n7RRgfzfG1xnhtG0s8Gd/e30Lj0sPFWuJLh0oD7n/oV92mplNBDKdc7/rzsC6SLvt883yD5+8aGaZ\n3RNalwinfTlAjpltNrOtZjat26LrvHDfP8xsBHA+f//ijAXhtO9+4Hoz+xB4Fa/XGgvCadtO4Dp/\neybQ38wGdUNs0kmxlujaZGZxwM+AO6IdSwT9FhjpnLsIeA34RZTj6WoJeIcvJ+P1eP7NzM6LakSR\nUQi86Jyrj3YgXWwusNI5lwFMB37l/10GwZ3AlWa2HbgS+AgI2vsXSLH2AfwICO3BZPhljfoD+cAG\nM9sHTAJ+E0MDUtprH865CufcKf/uz4GLuym2rtBu+/D+J/0b51ytc+4D4F28xBcLwmlfo0Ji67Al\nhNe+bwEvADjntgBJePNg9nTh/O3td85d55ybAHzfL4upwUS9VawlujeAC8zsfDPrg/dl8ZvGB51z\nlc65NOfcSOfcSLzBKNc652Jlnro22wdgZsNC7l4L7O7G+Dqr3fYBL+P15jCzNLxDmXu7M8hOCKd9\nmFkekAps6eb4Oiuc9pUBVwGY2Ri8RHe4W6PsmHD+9tJCeqdLgBXdHKN0UEwlOudcHXAL8Ae8L/gX\nnHPFZvZDM7s2utF1Xpjtu9Ufdr8TuBVvFGZMCLN9fwAqzGwX3gn/u5xzFdGJ+OycxeezEFjjnIup\n2RrCbN8dwHz/87kamBcL7QyzbZOBEjN7FxgCLI1KsHLWNDOKiIgEWkz16ERERM6WEp2IiASaEp2I\niASaEp2IiASaEp2IiASaEp10iJkdj3YMPYGZ7fOv9+vK5xxpZl8NuT/PzJZ15WuI9CZKdNIjmVl8\ntGOIopHAV9urJCLhUaKTTjGzyf7aXC+a2R4zW2WeaWa2tlm9V/ztq81si5m9bWZrzayfX77PzB42\ns7eB2WZ2q78u3Ttmtsavc66ZrTCzbf6aZ2fMIG9myxsv8jWzl8xshb/9TTNb6m+/bGZv+Rff3+iX\nfcfMHg15ntM9KTO73n/NHWb2dEuJuLU6ZnbczJaa2U5/ouohfvko//5fzOyBkF7yQ8AV/vPc5pcN\nN7Pfm9l7ZvZIx98xkV4o2usE6RabN+C4/3MyUIk3N2Ac3rRW/4A3OXMZcK5f71+B6/HmPdwYUr4Y\nuNff3gcsCnmN/UBff/s8/+eDwPWNZXhzYZ7bLLZC4FF/exuw1d9+DviCvz3Q/3kOUAQMAgbjLdXS\n+Dz/5bdlDN5k2ol++VPADSExp7VTxwHX+NuPAD/wt18B5vrb32n2O30lJI55eNOgpeBNqfVXvBU6\nov450E23WLipRyddYZtz7kPnXAOwA291hTrg98A1ZpYAfBH4T7yJtscCm81sB/B1YETIc/1HyPY7\nwCozux6o88uuBu72992A98Wf1SyeTXg9orHALuCQP0doAfC6X+dWf5qqrXiT+V7gnDsM7DWzSeYt\nv5IHbMabu/Fi4A3/da/CW6AzVFt1avCSGsBbeIcm8eNp7PW2t5L6n5w3l+tJv00j2qkvIr6EaAcg\ngXAqZLuev3+u1uDNH/gJ8KZzrsrMDHjNOTe3lef6W8j2F4F/BK4Bvm9mFwIGzHLOlbQWjHPuI/OW\n9pmG13scCHwFr8dUZWaTgX8CCpxz1Wa2AS9hNsb8FWAP8JJzzvkx/8I5t6SN30FbdWqdc41z7YX+\nfs5Ga79jEWmHenQSSf8DTMRbNXyNX7YVuNzMRsPpc245zXf0Z4nPdM6txzu8mQL0w5t0d4GffDCz\nCa289lbgu3iJbhPeWmKb/MdSgKN+ksvD62U2eglv5ei5ITH/CfiymX3Gf82B5i2cGiqcOi3FOMvf\nLgwpr8JbckpEuoASnUSM8xYVfQX4Z/8n/uHBecBqM3sH75xeXgu7xwPPm9lfgO3AE85b++tHQCLw\njpkV+/dbsglIcM69D7yN16trTHS/BxLMbDfewI+tITEfxZu9foRzbptftgv4AfDffsyvAaHLJYVV\npwXfBW7364/GO9cJ3iHben/wym2t7i0iYdHqBSJRYmbJwAn/8Ggh3sCUM0aRikjn6Di/SPRcDCzz\nD8N+CnwzyvGIBJJ6dCIiEmg6RyciIoGmRCciIoGmRCciIoGmRCciIoGmRCciIoGmRCciIoH2/ymm\nV+gP3oxrAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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27LECgPPnz5ulpKTc18wDFhYWqsLCwuoRVhwdHStOnTqlAIC9e/dWT9I6aNCg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\nf98u/iEVG38CAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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67yG5McZaRlRUVP5HH33k4uPj46vb2OP999+/VlhYaOLu7u43Z84cZw8Pj0o7\nOztVc487ZcqU6zNmzHDVNkaZN29ebmRkZA9/f38fuVx+u5S5dOnS3GPHjtl4eHj47d69287R0bEa\nAIKDgyvnzp2bM2zYME9PT0/fsLAwz6ysrLvurtBceh0CrLXxEGB6VFUlzen2zTfSIMk3bgDW1kBE\nBDBunFQ9aW3d9HEYa4eMbQgwpVKJ6upqsrKyEklJSebDhw/3zMjISNSdzaA9ak9DgLG2orwcOHhQ\nSm4xMUBREdChgzTdzbhxwMiRPCMAY+1QSUmJbPDgwV41NTUkhMDKlSsvt/ck1xhOdKy24mJpTMnd\nu6UxJsvLAXt74OmngWeeAYYNkxqYMMbaLTs7O3ViYmKKoeNoLZzomNRgZO9eKbkdPiyNNdmtG/Di\ni1LJbcgQwIQ/Koyx9om/vR5UV65II5F8+63UmVutBtzcpNaTTz8NhIbywMmMMaPAie5BIQSQnPxn\ncjtzRlru5wd88IGU3AICeMobxpjR4URnzNRq4MQJqZXkd98BFy9KywcOBP75T2nw5N69DRsjY4zp\nGSc6Y1NZCRw5IiW2vXuBggLA1FTq6zZrFvDXvwKOjoaOkjHWAqKiorp988039jKZTMhkMqxbt+5y\nWFhYWf/+/b2uXr1qamFhodZslzd16tSbcrk8uHfv3hVKpZLkcrmYOHFi4bx58wqMfSAGTnTG4MYN\nqYXknj3AgQNAaak0jmR4uFRqGzUK6NjR0FEyxlrQ4cOHrQ8ePNjpwoULyZaWliIvL8+kqqrq9r2H\nzZs3X/rLX/5SrruPubm5WqFQJANATk6Oyfjx43sVFxfLV65cmdva8bcmTnTt1R9/SIltzx6pMYlK\nJbWUnDxZmgUgLIy7ATBmxHJyckw7d+6stLS0FADg6Oh4V4MiOzs7Kz/77LPMRx55xHfFihW5MiNu\nfGa8V2Zs1Grg5Elg7lygb1+gVy/gnXekrgFRUdK6nBxgwwapJMdJjjGj9tRTTxXn5uaaubm5+T//\n/PM9vv/++1rTgWjni/P29vbNz8+vt27S19e3WqVSQTvmpLEy6otr98rLpX5t+/ZJj4ICQC6X5nFb\nsUK63+bubugoGWMG0LFjR3ViYmLygQMHbH/88UfbF1980X3evHnZM2fOLATqr7p8UHGia2tyc6Xh\ntvbtk5JcZaU0MHJ4uDT01qhRQOfOho6SMdYGmJiYICIioiQiIqKkb9++FVu2bLHXJrrmSE5ONpPL\n5XB2vr8JYNs6TnSGplZLfdq0yU3bv83NDXjtNSm5DRkCmOltBgvGWDt07tw5c5lMhj59+lQBwNmz\nZy21U/I0R25urslrr73mOnWGqu+0AAAgAElEQVTq1KvGfH8O4ERnGKWl0kwAMTHSuJJ5eVJH7dBQ\n4OOPpRkB/Py48zZjrEHFxcXymTNn9iguLpbL5XLh5uZW9eWXX15ubJ+qqiqZt7e3r7Z7wYQJEwrn\nz59f0FoxGwonutaSkSElte+/lyYqra6WZgIYPlwqtYWHA126GDpKxlg7MXjw4PKzZ88q6lt36tSp\n1PqWq1Sq0/qNqm3iRKcv1dXAr79K/du+/x5QaD6PXl7SeJJPPik1KjHV21yDjLE2xMnJISAvr7DW\nd66jo70yN/f6OUPF9KDgRNeScnOB2FgpuR06BJSUSPfWhgyRZuN+8knAw8PQUTLGDCAvr9Dk6NHa\nyx57rJC/g1sBv8gt4b//BdatAxISpOcuLsCkSVILyWHDpFFKGGMYOnQoAOCnn34yaBzswaK3pjZE\n9AURXSWiRJ1l44koiYjURBTSxP5yIjpLRDH6irHFXL8u3W9buhQ4d06aAmfDBqmfGyc5xpgRWLZs\nWZc1a9bYA8Dq1avtMzMz7/q+i7Ozc5+8vLxWL2Dp84TRANYA2KyzLBHA0wA2NGP/twCkAOjQ4pG1\ntDlzpAdjjBmpyMjIa9q/t27d6hAYGFjh5uZWY8iYmktvJTohRByAG3WWpQgh6m0NpIuIXAA8CeAz\nPYXHGGOtytHRXvnYY9JEItqHo6P9PXfUTk1NNevZs6ffuHHj3Nzc3PzHjBnT87vvvrPt16+ft6ur\nq//Ro0etjh49ahUYGOjt4+PjGxQU5H3u3DlzACgpKZGNGjWql7u7u98TTzzh3rdvX++4uDgrALCy\nsgqaMWOGs5eXl29AQIB3VlaWCQDMmjXLad68eV03bdpkl5iYaKUdYqy0tJR0S2pxcXFW/fv39wKA\n/Px8+aBBg3p7eHj4TZgwwVUIcTv+devWde7Tp4+Pt7e37+TJk12VSv31WW+rvQRXAYgEoG5qQyKa\nRkTxRBR/7dq1pjZnjDGDyM29fk4IcVr3cb8tLrOysiyioqIKMjIyEjMyMiy2bdtmHx8fr1i8eHH2\n4sWLHQMCAip///13RUpKSvL8+fNzIiMjXQBg+fLlXTp16qTKyMhIWrJkSU5ycrK19pgVFRWy0NDQ\n0tTU1OTQ0NDSTz75pFa/p6lTp9709/cv37x58yWFQpFsY2Mj6salNXv2bKfQ0NDS9PT0pLFjx97K\ny8szA4AzZ85Y7Nq1q3N8fLxCoVAky2QysX79evv7eS0a0+YSHRFFALgqhGhWfw8hxEYhRIgQIqQL\n90NjjD1AnJ2dq/r3718hl8vh6elZERYWViyTydCvX7/y7Oxs8xs3bshHjRrl3rt3b7/IyMjuaWlp\nFgBw/Phxm0mTJt0AgIcffrjS09Pz9piYpqamYuLEiUUAEBwcXHb58uV7HpbpxIkTti+//HIhAEyc\nOLGoQ4cOKgA4cOCAbWJiolVAQICPt7e376+//trh0qVLehuJvi22uhwEYAwRjQJgAaADEW0VQjxv\n4LgYY6xNMTMzu12akslksLCwEAAgl8uhUqkoKirKeciQISWHDh3KSE1NNQsLC/Nq6pgmJiZCOySY\niYkJlEplk0M0yeVyoVZLFXAVFRVNFqCEEDR+/PjCtWvX5jS1bUtocyU6IcQcIYSLEMINwEQARzjJ\nMcbY3SsuLpZrx7/csGGDg3Z5aGho6Y4dO+wA4PTp0xZpaWmWd3NcGxsbVVFR0e2pf1xcXKqPHTtm\nBQA7d+600y4fOHBgSXR0tL1meYfi4mI5AIwcObI4JibGTjs9UEFBgTwtLU1vA/rqs3vBdgC/AfAi\nomwieoWIxhJRNoBQAN8T0UHNtk5EtF9fsTDG2IMoKioq/6OPPnLx8fHx1W3s8f77718rLCw0cXd3\n95szZ46zh4dHpZ2dnaq5x50yZcr1GTNmuGobo8ybNy83MjKyh7+/v49cLr9dyly6dGnusWPHbDw8\nPPx2795t5+joWA0AwcHBlXPnzs0ZNmyYp6enp29YWJhnVlaW3oaJIt1WMO1dSEiIiI+PN3QYjLEG\ntNcO40R0WghRq+9vt27dMvPz868bKqb7oVQqUV1dTVZWViIpKcl8+PDhnhkZGYnaqs/2qlu3bg75\n+fludZe3xXt0jDHG9KikpEQ2ePBgr5qaGhJCYOXKlZfbe5JrDCc6xhh7wNjZ2akTExNTDB1Ha2lz\njVEYY4yxlsSJjjHGmFHjqsv7pFKpEBsbi7NnzyIoKAjh4eGQy+VN78gYY6xVcKK7DyqVCmNHjEDO\n0aMYrlZjvo0NNg4YgG8PHuRkxxhjbQRXXd6H2NhY5Jw8iRNqNT4GcKK0FNknTyI2NtbQoTHGHgBZ\nWVkmo0eP7uni4tLHz8/PJzAw0Hvz5s2dDB1XW8OJ7j6cPXsWw8vKoO3laApgRFkZErQTsDLGmJ6o\n1WqMHj3aY/DgwaXZ2dkXkpKSUnbu3HkpKytLbyOMtFec6O5DUFAQfrC2hnZCphoAB62tERgYaMiw\nGGMPgH379tmampoK3XniPD09qz/44IOrgDQ56pQpU3po1z322GMeMTExtgCwe/fuDoGBgd6+vr4+\n4eHhvYqKimQA8MYbbzi7u7v7eXp6+k6bNs0FAL744gu73r17+3l5efmGhIQ0OVZmW8T36O5DeHg4\nNg4YgAEnT2JEWRkOWlvDZcAAhIeHGzo0xpiRu3DhgmXfvn3Lm96ytry8PJMlS5Y4xsXFpXXo0EH9\nwQcfdFu4cGHX99577+r+/fvtLl26lCiTyXD9+nU5ACxdutTxhx9+SOvZs2eNdll7w4nuPsjlcnx7\n8CBiY2ORkJCABYGB3OqSMWYQL7zwQo9Tp07ZmJqaisY6g//000/WGRkZFv379/cGgJqaGgoODi61\nt7dXmZubqydMmOAWERFxa8KECUUAEBISUvrcc8+5jRs37uZzzz13s7WupyU1mOiIqF9jOwohzrR8\nOO2PXC5HREQEIiIiDB0KY+wB0qdPn4o9e/bcnilgy5YtV/Ly8kxCQkJ8AGm6He3UOQBQVVUlAwAh\nBB599NHiffv2/VH3mAkJCSl79+7tsGvXLrtPP/30oRMnTqR99dVXV44cOWK9d+/ejsHBwb6nT59O\n7tatW7MHgG4LGrtHFw8gGsC/NI8VOo9/6T0yxhhjDRo9enRJVVUV/fOf/7w943Rpaent73R3d/fq\npKQkK5VKhfT0dNPz589bA8DQoUPL4uPjbRITE80BoLi4WHb+/HnzoqIi2Y0bN+QTJkwoWr9+fZZC\nobACgKSkJPOwsLCyVatW5drZ2SkvXbrU7hq7NFZ1OQvAMwAqAOwA8K0QorRVomKMMdYomUyGffv2\nZbz55pvdV69e3a1z585KKysr1UcffZQNAE888UTp2rVrqzw8PPw8PDwqfX19ywHAyclJuWHDhsyJ\nEyf2qq6uJgCYP39+TseOHdUREREeVVVVBAALFy7MAoB33nnHJTMz01wIQY8++mjxwIEDKwx1zfeq\nyWl6iKgXpAlQ/wrgMoAlQog22X6ep+lhrG3jaXqYPt3zND1CiEtEtAeAJYAXAHgCaJOJjjHG2ion\nB6eAvMK8Wt+5jvaOytzruecMFdODorHGKLoluSxI1ZdLhBDtrtjKGDM8lUqFwsJClJaWIiYm5oFr\noZxXmGdyFEdrLXus8DFu+d4KGmuMkg7gWQAHAPwGoAeA14loFhHNao3gGGPGQaVSYcSIEUhOTkZm\nZiYmTZqEESNGQKVqV433HmjLli3rsmbNGntA6oyemZlp2tQ+dTk7O/fJy8tr9eTe2AkXANDewLNp\nhVgYY0YqNjYWJ0+ehLa5e2lpKU5qxoXlrjntg+4ILFu3bnUIDAyscHNzq2lsn7aiwUQnhPioFeNg\njBmxs2fPoqysrNayMs24sJzo7k1qaqrZyJEje/fr16/s9OnTNn379i17+eWXry9YsMC5sLDQJDo6\n+hIAvPPOOz2qqqpkFhYW6ujo6D8CAgKqSkpKZBMmTHBLTU217NWrV2VBQYHpmjVrrvzlL38pt7Ky\nCnrllVeu/vDDDx0tLCzUMTEx6d27d1fOmjXLycbGRtWzZ8/qxMREqylTpvSysLBQx8fHp3h5efnH\nx8enODo6KuPi4qzee++97qdOnUrNz8+Xjxs3rldBQYFZcHBwqW7jx3Xr1nX+9NNPu9bU1FC/fv3K\nNm/efNnERD+FPR7rkrV5Q4cOvd1aj7VPQUFBsLa2rrXM+gEbF9bR3lH5GGr/c7R3VN7PMbOysiyi\noqIKMjIyEjMyMiy2bdtmHx8fr1i8eHH24sWLHQMCAip///13RUpKSvL8+fNzIiMjXQBg+fLlXTp1\n6qTKyMhIWrJkSU5ycvLtN6eiokIWGhpampqamhwaGlr6ySefdNE959SpU2/6+/uXb968+ZJCoUi2\nsbFpsOn+7NmznUJDQ0vT09OTxo4deysvL88MAM6cOWOxa9euzvHx8QqFQpEsk8nE+vXr7e/ntWgM\n3whljOldeHg4BgwYgKNHj0KtVsPGxgYDHrBxYfXRutLZ2bmqf//+FQDg6elZERYWViyTydCvX7/y\nRYsWOWk6gPfMzMy0ICJRU1NDAHD8+HGbt9566yoAPPzww5Wenp63x8w0NTUVEydOLAKA4ODgssOH\nD3e41/hOnDhhu3v37nQAmDhxYtH06dNVAHDgwAHbxMREq4CAAB8AqKyslD300EP3lfQbw4mOMaZ3\ncrkcBw8eRGBgIEpLS/HJJ588cK0u9cHMzOx2aUomk8HCwkIA0uutUqkoKirKeciQISWHDh3KSE1N\nNQsLC2ty9gETExMhk8m0f0OpVFJT+8jl8tvDjVVUVDRZUyiEoPHjxxeuXbs2p6ltW8JdVV0SUYy+\nAmGMGTe5XA57e3u4uroiIiKCk1wrKC4ulru4uFQDwIYNGxy0y0NDQ0t37NhhBwCnT5+2SEtLs7yb\n49rY2KiKiopuv4EuLi7Vx44dswKAnTt33h5/c+DAgSXR0dH2muUdiouL5QAwcuTI4piYGLucnBwT\nACgoKJCnpaXpbWixu71H56yXKBhjjLW4qKio/I8++sjFx8fHV6n8s2bw/fffv1ZYWGji7u7uN2fO\nHGcPD49KOzu7Zvf1mDJlyvUZM2a4ent7+5aWltK8efNyIyMje/j7+/vI5fLbpcylS5fmHjt2zMbD\nw8Nv9+7ddo6OjtUAEBwcXDl37tycYcOGeXp6evqGhYV5ZmVl3XV3heZqcgiwWhsTfSGEeLm52wKI\nAHBVCOGvWTYewEcAfAD0F0LcMV4XEXUHsBlAV0jdGzYKIf7TnHPyEGDGqb0OG8Xu1F7fS2MbAkyp\nVKK6upqsrKxEUlKS+fDhwz0zMjIStVWf7dU9DwGmq7lJTiMawBpISUsrEcDTADY0sp8SwLtCiDNE\nZAvgNBEdEkIk302sjDHG6ldSUiIbPHiwV01NDQkhsHLlysvtPck1Rm+NUYQQcUTkVmdZCgAQNXxv\nUwiRByBP83cJEaVAqjLlRMcYYy3Azs5O3djkrMamTfej0yTKIAAnG9lmGhHFE1H8tWvXGtqMMcbY\nA6rNJjoisgHwDYC3hRDFDW0nhNgohAgRQoR06dKloc0YY4w9oJqsuiSiEAAfAHDVbE8AhBCir76C\nIiJTSElumxBit77OwxhjzPg15x7dNgDvA7gAQK3fcACSbuB9DiBFCPFvfZ+PMcaYcWtO1eU1IcRe\nIcQfQojL2kdTOxHRdkjT+3gRUTYRvUJEY4koG0AogO+J6KBmWyci2q/ZdRCkCV7DiChB8xh1b5fH\nGGPG68qVKyYRERG9unfv7u/n5+czZMgQj/Pnz5sDwPnz582HDBni4erq6u/r6+szatSoXllZWSYx\nMTG2RBT873//+3YH8uPHj1sSUfC8efO61j1Hbm6uSd++fb19fHx8Dxw4YDNkyBCP69evy69fvy5f\nunRpu7hf1JwS3Xwi+gzAjwCqtAubqlIUQkxqYNW39WybC2CU5u9fIVWPMsYYa4BarcaYMWM8Jk+e\nXBgTE3MJAH777TfL3NxcUw8Pj+rRo0f3/vjjj7MmT55cBAAxMTG2+fn5JgDQu3fvim+++cZu1qxZ\n1wFgy5Ytnb28vOqdVDsmJsbWx8en4uuvv74MACNHjkwHpNkTPv/884dmz57d5lsBNifRTQXgDcAU\nf1ZdCgB874wx1mw9uvVAVkEWgD+7GHXv2h1X8q8YMqx2KyYmxtbExETozhMXGhpaAQCrVq2y79ev\nX6k2yQFAREREiWY/U2dn5+qSkhJ5VlaWibOzs/LIkSMdH3/88aK65zh+/Ljl/PnzXSorK2Xe3t7W\nulPyvPvuuy5ZWVnm3t7evkOGDCnesGFDdmtc971oTqJ7WAjR5ECgjDHWmKyCLBzF0VrLHit4zEDR\ntH/nz5+3DAgIKK9vXWJiomW/fv3qXaf11FNP3dyyZYtdSEhIeZ8+fcrNzc3v6DD+yCOPVMyZMyc3\nPj7eevPmzbV+kaxYsSI7IiLCUqFQtPk+zs1JdMeJyLc9jEySmpqKhIQEBAYG4vDhw1i0aNEd22zY\nsAFeXl7Yt28fVqxYccf6LVu2oHv37vj666/x6aef3rF+165dcHBwQHR0NKKjo+9Yv3//flhZWWHd\nunXYuXPnHeu1Qx/961//QkxM7TGyLS0tERsbCwBYuHAhfvzxx1rr7e3t8c033wAA5syZg99++63W\nehcXF2zduhUA8PbbbyMhIaHWek9PT2zcuBEAMG3aNKSlpdVaHxgYiFWrVgEAnn/+eWRn1/6BFhoa\nio8//hgAMG7cOBQWFtZaP2zYMHz44YcApGlZKipq14RERETgvffeA4B655d79tln8cYbb6C8vByj\nRkm3ZYUQiI+Ph0qlwttvv40VK1bg5s2beOaZZ+7Y//XXX8eECROQlZWFF1544Y717777LkaPHo3U\n1FRMnz79jvVz587F448/joSEBLz99tt3rF+yZAkeeeQRHD9+HP/4xz/uWL9q1Sr+7KHhz57Wv/Av\nZOPPz9bQoUPb5Gfvrrz8cnckJlrd/Y6N8PcvxxdfZLXoMXVMmTLlxrhx49wVCoXl5MmTb/z66682\n+jqXoTWnMcpAAAlElEpE54noAhGd13dgjAkhcP78eZSXl6Oqqgrr16/HiBEjoFI1e+xZxoxWnz59\nKs6dO1dvcvXz86s8c+ZMo4m3R48eSlNTUxEXF9dhzJgxDfZVNgZNDupMRK71LW9Oy8vWxoM6G5eY\nmBhMmjQJpaWlt5fZ2Nhg+/btiIiIMGBk7F4Q0Z1Vl3gMdzOwvKG0xUGd1Wo1AgMDvadMmXL9vffe\nuw4AJ0+etLx586b80UcfLfP19fVbtmxZlnYS1djYWBsHBwdlQUGB6YoVK7oePXo0/dChQ9b5+fmm\nL7zwwq1Zs2Y52djYqBYsWFCge57Vq1fb61ZdOjs794mPj08hItGvXz/f3NzcC61/9fVraFDn5kyQ\nd7m+h16iZEzH2bNnUVZWVmtZWVnZHdVirH3o3rU7Hqvzr3vX7oYOq92SyWTYu3dvxpEjRzp0797d\n38PDwy8qKsrZ2dm5xsbGRuzZsyd97dq1D7m6uvq7u7v7rV279qFu3brVmsX7iSeeKHvhhRdu3cv5\nu3XrpgoODi7t3bu33/Tp011a5qr0466m6WnrDFWia69Tj7R1XKIzPu31/0pbLNGxO91ziY4xQwkP\nD8eAAQMgk0kfUxsbGwwYMADh4eEGjowx1p5womNtllwux8GDB+Hr6ws3Nzds374dBw8ehFwuN3Ro\njLF2RG/z0THWEuRyOezt7WFvb8/VlYyxe8IlOsYYY0aNEx1jjDGjxomOMcaYUTOqe3TlqeU4O/Rs\nrWW9lvRCx0c6ouh4ES794xK8NnjByssK1/ddR9aKpkfXqbu93y4/mDmYIS86D/nR+QCAlxJeAoA7\nzg3gju2DfgoCAFz51xUUxhTesX1dutsX/1YM/2/8AQCX5lxC0W93jMFai6m9aa3tawpr4LVRGrY0\ndVoqytMaHQoPVp5WtbY3tTdFr497AQASxyWiprCm0f07hnastX2H0A7o8V4PAPW/VnXZR9jf3v6l\nhJeQF50Hx5ccUX29GknPJDW5f7eXutXavvu73eEw2gHlqeVInZ7a5P51t6/7WWpKa3z2GtNWP3uj\n00Y3+f63pc9ec7Y3FLlcHty7d+8KlUpF3bt3r9q5c+cfDg4OzR46qKFO4qmpqWYRERG9L1682PR/\ntHvUGufQ4hIda9N6dOuBn3/+GbeKbmHq1KkgIgT6Bho6LHaPfvrpJ25U1ILMzc3VCoUi+eLFi0md\nOnVSLl++vF3MD9fauMP4fVKpVAgMDERpaSk++eQThIeHc/P3FtSeh41ixqOtdhi3srIKKi8vPwsA\ny5Yt63L+/HnLrVu3XgGADz/8sOu3337bubq6mp588slbK1euzAWAqKiobl9//bWDvb19jZOTU3VQ\nUFD5ggULCn755RerV1991Q0Ahg4dWnzkyJGOFy9eTFIqlXjzzTddjh07ZltdXU2vvfba1ffff/96\nTEyM7YIFC5w6d+5ck5qaatmnT5/y77777g+ZTIZffvnFatasWd3Ly8tldnZ2ym3btmW6urrWNHSO\nlno9uMO4HqhUKowYMQLJycnIzMzEpEmTeNBhxlirUyqVOHr0qO1TTz11CwB2797dIT093eL8+fMp\nKSkpyQkJCVaxsbE2v/zyi9W3337b+cKFC8mHDh26eO7cOWvtMV555RW3VatWXUlNTa01U82qVasc\nOnbsqEpMTEw5d+5cypdfftlFoVCYAUBKSorl2rVrs9LT05OuXLlifujQIZuqqiqaOXNmjz179mQk\nJSWlvPjii9ffe+8958bOoW9GdY+utcXGxuLkyZNQq6X5aEtLS3Hy5EnExsZy9QxjTO+qqqpk3t7e\nvgUFBabu7u6VTz31VDEAHDhwoENcXFwHX19fXwAoLy+XKRQKi5KSEtmoUaNu2draqgFg+PDhtwDg\n+vXr8pKSEnl4eHgpALz88suFR44c6QgAhw8f7qBQKKz27t1rBwAlJSXy5ORkCzMzM9GnT58yd3f3\nGgDw8/Mrz8jIMOvcubPy4sWLlmFhYZ6ANPh0ly5daho7h75xie4+8KDDjDFD0t6ju3LlygUhBJYu\nXfoQIE1x9fbbb+cpFIpkzfrEd955556qWYUQtGLFiivaY+Xk5Fx4+umnizXnv30PQS6XQ6lUkhCC\nPDw8KrTbp6WlJR87duxiy1zxveFEdx+CgoJgbW1da5m1tTUCA7mxREvhEe8Za5qtra169erVV9at\nW9e1pqYG4eHhxVu2bHEoKiqSAcAff/xhmpOTYxIWFla6f//+TqWlpXTz5k3ZoUOHOgGAg4ODytbW\nVnXw4EEbAIiOju6sPfYTTzxR9Omnn3apqqoiADh//rx5cXFxg7mjb9++lTdu3DA5fPiwNQBUVVVR\nfHy8RWPn0DeuurwP2kGHjx49CrVazYMO68GV/CvtdsR7xu7Qv7/UZ+LUqab7t9ylQYMGVXh7e1ds\n3Lix85tvvnkjKSnJ4uGHH/YGACsrK/W2bdv+ePTRR8vHjh17w9/f38/e3r6mb9++t6ukPv/888xX\nX33VjYgwdOjQ2xOxvvPOO9czMzPN+/Tp4yOEoM6dO9fs378/o6E4LCwsxI4dOzJmzpzZo6SkRK5S\nqej1118vCAkJqWzoHPrGrS7vE7e61D9OdMzQWqzVpR4THeNWl3qjHXTY1dUVERERnOQYY/VSKpXY\nc/Om/KOcHLPt27d3VCqVTe/EWgQnuvuk7dD8888/g4hAROjRrYehw2KMtSFKpRIjBw/uveDSJcuq\n3FyzZa+80mvk4MG9Odm1Dr5Hd5+yCrLu7NBc8JiBojFOXGXJ2rv//e9/HQvPnbM5pVbDFMCCigrZ\nw+fO2fzvf//rOGnSpMbHU2P3TW8lOiL6goiuElGizrLxRJRERGoiCmlk35FElEpE6UQ0W18xMsZY\nazhz5ozVyMpKmanmuSmA8MpK2dmzZ60MGdfdWLZsWZc1a9bYA8Dq1avtMzMzTZvapy5nZ+c+eXl5\nrV7A0mfVZTSAkXWWJQJ4GkBcQzsRkRzAWgDhAHwBTCIiXz3FyBhjetevX7/yAxYWau1Q1DUAYi0s\n1EFBQY2PrN6GREZGXvv73/9eCABbt251uHLlyl0nOkPRW6ITQsQBuFFnWYoQoqnWRv0BpAshLgkh\nqgHsAPBXPYXJGGN6N378+CL7gIDSATIZ5gB42NJS7RAQUDp+/Ph7rrZMTU0169mzp9+4cePc3Nzc\n/MeMGdPzu+++s+3Xr5+3q6ur/9GjR62OHj1qFRgY6O3j4+MbFBTkfe7cOXMA0IyQ0svd3d3viSee\ncO/bt693XFycFSCNnzljxgxnLy8v34CAAO+srCwTQJrpYN68eV03bdpkl5iYaDVlypRe3t7evqWl\npaRbUouLi7Pqr2ldmp+fLx80aFBvDw8PvwkTJrjqtvJft25d5z59+vh4e3v7Tp482VWf9yvbYmMU\nZwC6c5hka5bVi4imEVE8EcVfu3ZN78HVxR2aGWNNMTExwYFffrk4v1evCgsnp+qozz+/dOCXXy6a\nmNxfLV5WVpZFVFRUQUZGRmJGRobFtm3b7OPj4xWLFy/OXrx4sWNAQEDl77//rkhJSUmeP39+TmRk\npAsALF++vEunTp1UGRkZSUuWLMlJTk6+PfJFRUWFLDQ0tDQ1NTU5NDS09JNPPqk1I8LUqVNv+vv7\nl2/evPmSQqFItrGxabCP2uzZs51CQ0NL09PTk8aOHXsrLy/PDADOnDljsWvXrs7x8fEKhUKRLJPJ\nxPr16+3v68VoRLtvjCKE2AhgIyD1o2vt83OHZsZYc5iYmOCvdnaqv9rZqdBCDVCcnZ2r+vfvXwEA\nnp6eFWFhYcUymQz9+vUrX7RokdONGzfkEyZM6JmZmWlBRKKmpoYA4Pjx4zZvvfXWVQB4+OGHKz09\nPW9XoZqamoqJEycWAfe4YOYAABpqSURBVEBwcHDZ4cOHO9xrfCdOnLDdvXt3OgBMnDixaPr06SoA\nOHDggG1iYqJVQECADwBUVlbKHnroIb0V6dpiossBoFskctEsY4yx9q2FO4qbmZnd/nEvk8lgYWEh\nAKl/r0qloqioKOchQ4aUHDp0KCM1NdUsLCzMq6ljmpiYCJlMpv0bSqWSmtpHLpcL7eD2FRUVTdYU\nCiFo/PjxhWvXrm2V7/a2WHX5O4DeRNSTiMwATASw18AxNeqnn37i0hxjrM0pLi6Wu7i4VAPAhg0b\nHLTLQ0NDS3fs2GEHAKdPn7ZIS0uzvJvj2tjYqIqKim6PjuHi4lJ97NgxKwDYuXOnnXb5wIEDS6Kj\no+01yzsUFxfLAWDkyJHFMTExdjk5OSYAUFBQIE9LSzO79yttnD67F2wH8BsALyLKJqJXiGgsEWUD\nCAXwPREd1GzrRET7AUAIoQTwdwAHAaQA2CmE0PtU64wxZmyioqLyP/roIxcfHx9f3cYe77///rXC\nwkITd3d3vzlz5jh7eHhU2tnZNXsizSlTplyfMWOGq7Yxyrx583IjIyN7+Pv7+8jl8tulzKVLl+Ye\nO3bMxsPDw2/37t12jo6O1QAQHBxcOXfu3Jxhw4Z5enp6+oaFhXlmZWXprRUnj3XJGGNNaKszjN8r\npVKJ6upqsrKyEklJSebDhw/3zMjISNRWfbZXDY112Rbv0THGGNOjkpIS2eDBg71qampICIGVK1de\nbu9JrjGc6Bhj7AFjZ2enTkxMTDF0HK2lLTZGYYwxxloMJzrGGGNGjRMdY4wxo8aJjjHGmFHjRMcY\nY+2UXC4P9vb29vXw8PDz8vLynT9/fleVqtnd4e7K6tWr7adMmVLvrNJWVlZBejlpC52DW10yxlg7\nZW5urlYoFMkAkJOTYzJ+/PhexcXF8pUrV+Y2Z/+amhqYmrab2XbuGZfoGGPMCDg7Oys/++yzzE2b\nNj2kVquhVCoxffp0F39/fx9PT0/f5cuXOwBATEyMbXBwsFdYWJhH7969/YGGp8z5z3/+Y+/m5ubf\np08fn+PHj9toz6VQKMwCAwO9PT09fWfOnOmkG8eHH37YVXvOd955xwmQphTq1auX38SJE109PDz8\nBg0a1Lu0tJQAICkpyXzw4MG9/fz8fIKDg73Onj1r0dQ57hYnOsYYMxK+vr7VKpUKOTk5JqtWrXLo\n2LGjKjExMeXcuXMpX375ZReFQmEGAMnJyVbr1q27kpmZmdjQlDmXL182Xbp0qdPx48cVv//+u0J3\nPMw33nijx6uvvnotLS0t2dHRUTufLHbv3t0hPT3d4vz58ykpKSnJCQkJVrGxsTYAcOXKFYuZM2de\nTU9PT+rYsaNq8+bNdgDw6quvuq5bt+5KUlJSyvLly7Nff/31Ho2d415w1SVjjBmhw4cPd1AoFFZ7\n9+61A4CSkhJ5cnKyhZmZmejbt2+Zt7d3NdDwlDlxcXHWAwcOLHFyclICwNNPP30jLS3NAgDOnDlj\nExsbmwEA06dPL1y4cKGL5lj/3969R1dVnnkc/z5JQIzcwsUAgSRySUJAEURqcEDA6qgFO4IItC4N\nRbSzllhABelFXa1YCjjOar0ssQWv4wVRq8zUlioMjEARRZRbRGIECYmAEqDhFnjnj72DJyGXQ5KT\nw9n8PmvtlX32effez5tzcp68e7/nfVsuX768ZXZ2djZAaWlp3JYtW5p17dr1aEpKypGBAwceAujb\nt29pQUHBOSUlJXHr1q1rPnr06G7lcR89etRqOkddKNGJiATEpk2bmsbHx5OSklLmnLNHHnlk+6hR\no/aHllm8eHGLxMTEE+WPq5sy5/nnn29d07ni4uJOGTLMOcfkyZN33XvvvRXGAM3Ly2saOqVQfHy8\nO3ToUNzx48dp0aJFWfl9xnDOURe6dCki0kgGDBiQOWDAgFrnhKuLwsLChIkTJ6aNHz/+67i4OK66\n6qqSJ598sv2RI0cM4JNPPjln//79p3zmVzdlzuDBg//5j3/8o0VRUVH8kSNH7I033jg5/U6/fv0O\nPv30020Ann766ZMzg1977bX7n3/++XYlJSVxAF988UWT8uNWpU2bNic6d+58dP78+UkAJ06cYNWq\nVefWdI66UKITEYlRR44ciSv/esHQoUMzrrzyyv1z584tBJgyZcqerKyswxdeeGHPHj169Jo4cWJa\n+QzjoaqbMictLe3Y9OnTCy+77LKe/fv3z8rIyDhcvs8TTzyxfd68eednZGRk79y582S3zZEjR+4f\nPXr0N5deemlWRkZG9g033NBt37598ZXPGeqll17KX7BgQbvMzMzsHj169Fq0aFHrms5RF5qmR0Sk\nFg0xTU9ZWRk9e/bMLi0tjZ87d+720aNHlyQk6O5RQ6pumh616EREIqysrIxBgwb1yM/PP7ewsLDp\nhAkTug4aNKhH6GSoEjlKdCIiEbZw4cJW69evb37ihNcH5NChQ3Hr169vvnDhwlZRDu2soEQnIhJh\nH330UeLhw4crfN4ePnw4bt26dYnRiulsokQnZ7QOHdIxswpLhw7p0Q5L5LT069evtFmzZidCtzVr\n1uxE3759S6MV0+maPXt2+8cee6wteONeFhQUnHYHkZSUlAt37drV6DcmlejqSR/EkVVc/CXgKize\nNpHYMXr06JI+ffocjIvzPnLPPffcE3369Dk4evTokiiHFrZp06btvvPOO/cCvPDCC+22b98eM4Nk\nKtHVkz6IRaQ2CQkJrFixYmvXrl0PderU6eif/vSn/BUrVmytT6/LvLy8phdccEGvUaNGpaenp/e+\n/vrrL3jzzTdb9OvXLystLa330qVLE5cuXZp48cUXZ/Xs2TO7b9++WevXrz8H4MCBA3HXXXdd127d\nuvW66qqrul100UVZy5cvTwRvloBJkyalZGZmZvfp0ydrx44dCQBTp07tdP/99ycvWLAgacOGDYm3\n3HJL16ysrOyDBw9aaEtt+fLlieXfFSwqKoq//PLLe3Tv3r3XmDFj0kJ7+Vc3vmYkKNGJiDSChIQE\nkpKSjqekpBwdN25cg3y1YMeOHc2mT59evG3btg3btm1r9uKLL7Zdu3btlpkzZ341c+bMjn369Dn8\nwQcfbNm8efOmBx54YOe0adM6A8yZM6d969atj2/btm3jww8/vHPTpk3nlR/z0KFDcTk5OQfz8vI2\n5eTkHPzDH/7QPvSc48eP/7Z3796lzz33XP6WLVs2NW/evNrvqN13332dcnJyDn7++ecbb7jhhn27\ndu1qClDd+Jr1/oVUI1Bf4sjLgyFDKm57+GEYOBBWroSf/xyeegoyM+Htt+GRR2o/ZuXyr70G7drB\nM894CyytYq+lJ+OoXH7ZMm/73LmweHHt5w8tv2oVLFrkPZ4xw3tck7ZtK5bfuxfmzfMe3347fPZZ\nzftnZFQs37Yt/Pa33uNRo7zj1SQnp2L5nBy45x7vceXXqSrDh1f3TNuw9s/N9ZY9e+DGG+Huu2HE\nCO99cscdte9fuXzl91JtIv/eq5nee9+Vr8t773TKh2vNmjV5DXc0SElJOTJgwIBDABkZGYeGDRu2\nPy4ujn79+pU+9NBDnb755pv4MWPGXFBQUNDMzFz5F8ZXrlzZ/Gc/+9nXAJdeeunhjIyMk/cKmzRp\n4saOHVsCcMkll/zz73//e8u6xrd69eoWr7/++ucAY8eOLbnjjjuOQ/Xja9b1PLUJVKKT4ElOTqO4\n2PD+oXgGeJb27S+OblAiZ4jQ8SPj4uJo1qyZA4iPj+f48eM2ffr0lCuuuOLAkiVLtuXl5TUdNmxY\nrcOPJSQkuPJ7iQkJCZSVlZ0ymkpl8fHxLvSrE7WVr258zUjRyCj11KFD+in35JKT0ygqKmjUOEQk\nchpiZJSGlpeX13T48OE9tm7duhFg1KhR6cOHDy8ZP378t+XPpaenH/7xj3+8Nzc3d9/UqVM7vfLK\nK2137tz56a9+9avk/Pz8c1588cXtH374YbPvfe972e+9996WwYMHlyYmJvYtLS1dB7BgwYKkxYsX\nt1q0aFHB1KlTOzVv3vz4r3/96+Jhw4Z1nzJlSvGIESMOAAwcODBj8uTJRTfddNP+CRMmdPn0008T\n16xZk5ebm9vl/PPPL5s9e/auV199teWYMWN6FBYWri8sLEwYOXJk95UrV25JSUkpKy4uji8pKYnP\nyMg4Wp/fSVRGRjGz+Wb2tZltCNnWxsyWmNlW/2dSNfvONrONZrbZzH5vZrX+VxENRUUFOOcqLEpy\nIqdSD+XGN3369KIHH3ywc8+ePbNDO3vce++9u/fu3ZvQrVu3XjNmzEjp3r374aSkpOPhHveWW27Z\nM2nSpLTyzij3339/4bRp01J79+7dMz4+/mTradasWYXvv/9+8+7du/d6/fXXkzp27HgUqh9fs0Er\nHyKiLTozGwwcBJ5zzvX2t80GvnHOzTKz+4Ak59z0SvsNBOYAg/1N/wfMcM4tq+l8GutS5Mzl/a9a\n+fPGiIWrSmdii64+ysrKOHr0qCUmJrqNGzeec/XVV2ds27ZtQ/mlz1hVXYsuovfonHPLzazySX8I\nDPHXnwWWAdMrlXFAM6ApYEAToDhCYYqInFUOHDgQN2jQoMxjx46Zc45HH330y1hPcjWJRmeUZOfc\nLn+9CEiuXMA5t8rMlgK78BLdY865zVUdzMxuB24HSE1NjUzEIiIBkpSUdGLDhg1VfqYGUVS/R+e8\naxan/BdhZt2BnkBnIAUYZmaDqjnGPOdcf+dc//bt21dVREQkEk6UT2oq0ee/Fieqei4aia7YzDoC\n+D+/rqLMDcBq59xB59xB4C9ATiPGKCINLDk5De8CzXeLty1mbXj88cdbKdlF35EjR+zxxx9vBWyo\n6vmIf73Av0e3OKQzyhxgb0hnlDbOuWmV9hkDTASuwfuLeAf4T+fc2zWdS51RRCQSquqMYmbnJycn\n/xHojUaZirYTwIbi4uLbnHOnNJ4ieo/OzF7C63jSzsy+Ah4AZgGvmtkE4EvgJr9sf+CnzrnbgNeA\nYcCneJc236ktyYmINCb/A/X6aMchtYt0r8tx1Tx1ZRVl1wK3+evHgTAGaRIREamZmtsiIhJoSnQi\nIhJoSnT1lJra4ZRhjVJTO0Q7LBER8Wn2gnrasaOYpZVm6hk6VIO4iIicKdSiExGRQFOiExGRQFOi\nExGRQNM9unrq0iX5lHtyXbqcMk61iIhEiRJdPW3fXhTtEEREpAa6dCkiIoGmRCciIoGmRCciIoGm\nRCciIoGmRCciIoGmRCciIoGmRCciIoGmRCciIoGmRCciIoGmRCdnNM33JyL1pSHA5Iym+f5EpL7U\nohMRkUBTohMRkUAL1KXL0tI81q0bUmFb164P06rVQEpKVpKf/3MyM58iMTGTPXveZseOR2o9ZuXy\nvXq9RtOm7di16xmKip6pdf/K5fv2XQbA9u1z2bt3ca37h5bfv38VvXsvAiA/fwYlJatq3LdJk7YV\nyh87tpfMzHkA5OXdTmnpZzXun5iYUaF8kyZt6dr1twBs2DCKY8f21rh/q1Y5Fcq3bJlDauo9AKe8\nTlVp23Z4ldtbtgxv/w4dcunYMZejR/ewceONdOlyN+3ajaC0NI+8vDtq3b9y+crvpdrovRfb773T\nKS9nNrXo5IzmzfcHH38Ms2bB0KGQktI+2mGJSAwx51y0Y2gw/fv3d2vXro12GCISMGb2oXOuf7Tj\nkLqJWIvOzOab2ddmtiFkWxszW2JmW/2fSdXsm2pmfzOzzWa2yczSIxWniIgEWyQvXT4DXFNp233A\nu865HsC7/uOqPAfMcc71BAYAX0cqSBERCbaIJTrn3HLgm0qbfwg8668/C/xb5f3MLBtIcM4t8Y9z\n0DlXGqk4RUQk2Bq7M0qyc26Xv14EJFdRJgPYZ2avm9k6M5tjZvHVHdDMbjeztWa2dvfu3ZGIWURE\nYljUel06rxdMVT1hEoBBwD3ApUBXILeG48xzzvV3zvVv31698UREpKLGTnTFZtYRwP9Z1b23r4CP\nnXP5zrky4E2gXyPGKCIiAdLYie4t4FZ//Vbgz1WU+QBobWblzbNhwKZGiE1ERAIokl8veAlYBWSa\n2VdmNgGYBVxlZluB7/uPMbP+ZvZHAOfccbzLlu+a2aeAAU9HKk4REQk2fWFcRKQW+sJ4bNMQYCIi\nEmhKdCIiEmhKdCIiEmhKdCIiEmhKdCIiEmhKdCIiEmhKdCIiEmhKdCIiEmhKdCIiEmhKdCLSKFJT\nO2BmFZbU1A7RDkvOAgnRDkBEzg47dhSzdGnFbUOHFkcnGDmrqEUnIiKBpkQnIiKBpkQnIiKBpnt0\nItIounRJPuWeXJcuyVGKRs4mSnQi0ii2by+KdghyltKlSxERCTQlOhERCTQlOhERCTQlOhERCTQl\nOhERCTQlOhERCTQlOhERCTQlOhERCTRzzkU7hgZjZgeAvGjHESHtgD3RDiKCVL/YFvT6ZTrnWkQ7\nCKmboI2Mkuec6x/tICLBzNYGtW6g+sW6s6F+0Y5B6k6XLkVEJNCU6EREJNCClujmRTuACApy3UD1\ni3Wqn5yxAtUZRUREpLKgtehEREQqiLlEZ2bXmFmemX1uZvfVUG6UmTkzi6meYLXVz8xyzWy3mX3s\nL7dFI866Cuf1M7ObzGyTmW00s/9q7BjrI4zX79GQ1+4zM9sXjTjrKoz6pZrZUjNbZ2afmNl10Yiz\nLsKoW5qZvevXa5mZdY5GnFIHzrmYWYB4YBvQFWgKrAeyqyjXAlgOrAb6RzvuhqwfkAs8Fu1YI1i/\nHsA6IMl/fH60427I+lUqPwmYH+24G/j1mwf8u7+eDRREO+4GrNtC4FZ/fRjwfLTj1hLeEmstugHA\n5865fOfcUeBl4IdVlPsN8DvgcGMG1wDCrV+sCqd+E4HHnXPfAjjnvm7kGOvjdF+/ccBLjRJZwwin\nfg5o6a+3AgobMb76CKdu2cB7/vrSKp6XM1SsJboUYEfI46/8bSeZWT+gi3PuvxszsAZSa/18o/zL\nJ6+ZWZfGCa1BhFO/DCDDzN43s9Vmdk2jRVd/4b5+mFkacAHffXDGgnDq9yBws5l9BfwPXqs1FoRT\nt/XASH/9BqCFmbVthNiknmIt0dXIzOKA/wDujnYsEfQ2kO6cuwhYAjwb5XgaWgLe5csheC2ep82s\ndVQjioyxwGvOuePRDqSBjQOecc51Bq4Dnvf/LoPgHuAKM1sHXAHsBIL2+gVSrL0BdwKhLZjO/rZy\nLYDewDIzKwAuA96KoQ4ptdUP59xe59wR/+EfgUsaKbaGUGv98P6Tfss5d8w59wXwGV7iiwXh1K/c\nWGLrsiWEV78JwKsAzrlVQDO8cTDPdOH87RU650Y65/oCv/C3xVRnorNVrCW6D4AeZnaBmTXF+7B4\nq/xJ51yJc66dcy7dOZeO1xnleudcrIxTV2P9AMysY8jD64HNjRhffdVaP+BNvNYcZtYO71JmfmMG\nWQ/h1A8zywKSgFWNHF99hVO/7cCVAGbWEy/R7W7UKOsmnL+9diGt0xnA/EaOUeoophKdc64MuBP4\nK94H/KvOuY1m9mszuz660dVfmPW7y+92vx64C68XZkwIs35/Bfaa2Sa8G/73Ouf2Rifi03Ma78+x\nwMvOuZgarSHM+t0NTPTfny8BubFQzzDrNgTIM7PPgGRgZlSCldOmkVFERCTQYqpFJyIicrqU6ERE\nJNCU6EREJNCU6EREJNCU6EREJNCU6KROzOxgtGM4E5hZgf99v4Y8ZrqZ/Sjkca6ZPdaQ5xA5myjR\nyRnJzOKjHUMUpQM/qq2QiIRHiU7qxcyG+HNzvWZmW8zsRfNcY2YLK5Vb7K9fbWarzOwjM1toZs39\n7QVm9jsz+wgYbWZ3+fPSfWJmL/tlzjOz+Wa2xp/z7JQR5M3s8fIv+ZrZG2Y231//iZnN9NffNLMP\n/S/f3+5v+6mZzQk5zsmWlJnd7J/zYzN7qqpEXF0ZMztoZjPNbL0/UHWyv72b//hTM3sopJU8Cxjk\nH2eKv62Tmb1jZlvNbHbdXzGRs1C05wnSEpsLcND/OQQowRsbMA5vWKt/wRuceTtwnl/uSeBmvHEP\nl4dsnw7c768XANNCzlEInOOvt/Z/PgzcXL4NbyzM8yrFNhaY46+vAVb76wuAf/XX2/g/zwU2AG2B\n9nhTtZQf5y9+XXriDabdxN/+BHBLSMztainjgBH++mzgl/76YmCcv/7TSr/TxSFx5OINg9YKb0it\nL/Fm6Ij6+0CLllhY1KKThrDGOfeVc+4E8DHe7AplwDvACDNLAH4A/BlvoO1s4H0z+xi4FUgLOdYr\nIeufAC+a2c1Amb/tauA+f99leB/8qZXiWYHXIsoGNgHF/hihOcBKv8xd/jBVq/EG8+3hnNsN5JvZ\nZeZNv5IFvI83duMlwAf+ea/Em6AzVE1ljuIlNYAP8S5N4sdT3uqtbSb1d503luthv05ptZQXEV9C\ntAOQQDgSsn6c795XL+ONH/gNsNY5d8DMDFjinBtXzbH+GbL+A2AwMAL4hZldCBgwyjmXV10wzrmd\n5k3tcw1e67ENcBNei+mAmQ0Bvg/kOOdKzWwZXsIsj/kmYAvwhnPO+TE/65ybUcPvoKYyx5xz5WPt\nhf5+Tkd1v2MRqYVadBJJ/wv0w5s1/GV/22rgcjPrDifvuWVU3tEfJb6Lc24p3uXNVkBzvEF3J/nJ\nBzPrW825VwOT8RLdCry5xFb4z7UCvvWTXBZeK7PcG3gzR48Lifld4EYzO98/ZxvzJk4NFU6ZqmIc\n5a+PDdl+AG/KKRFpAEp0EjHOm1R0MXCt/xP/8mAu8JKZfYJ3Ty+rit3jgRfM7FNgHfB758399Rug\nCfCJmW30H1dlBZDgnPsc+AivVVee6N4BEsxsM17Hj9UhMX+LN3p9mnNujb9tE/BL4G9+zEuA0OmS\nwipThcnAVL98d7x7neBdsj3ud16ZUu3eIhIWzV4gEiVmlggc8i+PjsXrmHJKL1IRqR9d5xeJnkuA\nx/zLsPuAn0Q5HpFAUotOREQCTffoREQk0JToREQk0JToREQk0JToREQk0JToREQk0JToREQk0P4f\nseHPuMMPURkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3GwJMLpejpqaGSaVSnpSUZDhu3DjnjIyMRM3ZDLoiGgKsp6iuBs6dExLb8ePA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\nkb1b4wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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sO6JBR2OoLsCYMaqqAv73Pym5JSQAqZoGsa6uwNSpUmJ7+GGgU6cmd9MSUVFR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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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bPVu6F3f+PHDgACc51mpwomOsJRIC+PZbaVSB116T+qQ8cQL46SfAj3uyYq0LJzrGWhIh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\nREQCTYlOREQC7f8DSSviK8MTenYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YYoyxVtHZhRMi+piIrhGRQmvZOCJKIqJqIgppZn85EZ0hojhdxciaoVYDBw9K\nMwPY2wNTpkiNS5YvBzIzpX5wTz3FSY4xZtB0WaKLBbAWwBatZQoATwHY2IL9XweQAuCue+Wzu6RU\nAp9+CmzdKnUD6NZNajE5eTIwaBBAzfYfZYwxg6GzRCeEOEpEbvWWpQAANfNFSUTOAP4GYAmAWbqJ\nkNVx86ZUNRkbC5w4IbWSHDkS+O9/gVGjADMzfUfIGKsnOjrafs+ePbYymUzIZDKsX7/+clhYWMng\nwYO9rl27ZmxmZlat2S5n8uTJt+RyeXC/fv3KVCoVyeVyERUVlb9gwYK8zt4/1VCv0a0CMAcATzKm\nS1VVwP79UqOSb74BKiulDt0ffPBXdSVjzCAdOnTI8sCBA90uXLiQbG5uLnJycowqKipqSxFbtmy5\n9MADD5Rq72NqalqdmpqaDABZWVlG48aN61tYWChfuXJldnvH354MLtERUSSAa0KIU0T0YAu2nwJg\nCgC4uLjoOLpOQAipQ/eWLdKoJdevAz16AK+8AkyaBAQGctUkYx1AVlaWcffu3VXm5uYCABwcHO5o\nUGQnJyfV5s2bM+677z7fFStWZMs6cV9XQ3xmwwCMJqIMADsBhBHRtsY2FkJsEkKECCFCevTo0dhm\nLDMTeO89oH9/qa/bhg1SR+5vvgGysoBVq4CgIE5yTGfs7d1ARHVu9vZu+g6rw3ryyScLs7OzTdzc\n3PwmTpzo8u2331ppr6+ZL87b29s3Nze3wbpJX1/fSrVajZoxJzsrg0t0Qoh5QghnIYQbgCgAPwoh\nJuo5rI6psFDqDhAWBri6SjMEdO8uJbncXOma3KhRgLHOhphjrFZe3mUAos5NWsbuRteuXasVCkXy\n2rVrL/fo0UP13HPPua9evbp2Trea+eJSU1OT7e3tWzyOZWeksyxORDsAPAjAjoiuAogBcBPAGgA9\nAHxLRGeFECOJyBHAZiHE47qK555RVSVNg7NtmzRaSXk54OEBxMQAEycC7u76jpAx1kaMjIwQGRlZ\nFBkZWTRw4MCyrVu32s6YMSO/pfsnJyebyOVyODm1bgJYQ6fLVpcTGln1ZQPbZgO4LckJIY4AONKm\ngXVGQgAJCdIgyp9/Lo07aWsrjTP57LPA4MFcJclYJ3Pu3DlTmUyGAQMGVADAmTNnzGum5GmJ7Oxs\no5dfftl18uTJ1zrz9TnAABujsDugVErJbft24NIlqQvAqFFScgsP5ypJxjqxwsJC+YwZM1wKCwvl\ncrlcuLm5VXz66adN1gVXVFTIvL29fWu6F4wfPz4/JiYmr71i1hdOdB1NdrZUatu+HTh1SiqphYVJ\nk5o+9RTQhfvXM8PUq5cr8vJtpY40AAAgAElEQVTotmXs7gwfPrz0zJkzqQ2tO3nypLKh5Wq1+pRu\nozJMnOg6gj//BPbulabB+fFHqaoyKAhYsQKIigIcHfUdIWPNys3N0HcIeuXoaOefk5Nf5zvXwcFW\nlZ1945y+YrpXcKIzVGVlQFyc1Nft22+lztweHlLJbcIEwNtb3xEyxu5ATk6+0eHDdZc99FA+fwe3\nA36RDUlVlTSI8o4dwFdfAcXF0ugk06YBTz8t9X/jRiWMMXZHOndTm45ArQaOHAH++U/AwQH429+k\nktz48cAPP0iDKq9cyYMpM8b0avny5T3Wrl1rCwCrV6+2zcjIuOPWbk5OTgNycnLavYDFJTp9qOkO\n8PnnUqftnBzAwgJ44gmpWnLkSJ76hjFmUObMmXO95v62bdvsAgICytzc3Kr0GVNLcaJrL0IAZ85I\nye3zz4HLlwFTU2ny0qgoafJSS0t9R8kY0xEHB1tV/WtyDg62d91RW6lUmoSHh/cLCgoqOXXqlNXA\ngQNLXnjhhRuLFi1yys/PN4qNjb0EADNnznSpqKiQmZmZVcfGxv7h7+9fUVRUJBs/frybUqk079u3\nb3leXp7x2rVrrzzwwAOlFhYWgS+++OK177//vquZmVl1XFzcxd69e6tmzZrlaGVlpe7Tp0+lQqGw\nmDRpUl8zM7PqxMTEFC8vL7/ExMQUBwcH1dGjRy1mz57d++TJk8rc3Fz52LFj++bl5ZkEBwcXCyFq\n41+/fn33Dz/8sFdVVRUFBQWVbNmy5bKRkW5SEldd6pIQwPnzwNtvA56eQHCwNO2Nr680HU5eHvDl\nl1I1JSc5xjq17Owb54QQp7RvrW1xmZmZaRYdHZ2Xnp6uSE9PN9u+fbttYmJi6pIlS64uWbLEwd/f\nv/y3335LTUlJSY6JicmaM2eOMwC8//77Pbp166ZOT09PWrp0aVZycnLtF1BZWZksNDS0WKlUJoeG\nhhavWbOmziDCkydPvuXn51daM8SYlZWVqB9Xjblz5zqGhoYWX7x4MWnMmDF/5uTkmADA6dOnzXbv\n3t09MTExNTU1NVkmk4kNGzbYNnac1uISXVsTAlAogC++kKollUpALpf6ukVHA2PGSKOWMMZYKzk5\nOVUMHjy4DAA8PT3LwsLCCmUyGYKCgkoXL17sePPmTfn48eP7ZGRkmBGRqKqqIgA4fvy41euvv34N\nAAYNGlTu6elZO52PsbGxiIqKKgCA4ODgkkOHDt1159yEhATrvXv3XgSAqKiogqlTp6oBYP/+/dYK\nhcLC39/fBwDKy8tlPXv21NkwZJzo2oIQQFKSlNy++AJISZEmLh0xApg5U+rIzTMrMMbamImJSW1p\nSiaTwczMTACAXC6HWq2m6OhopxEjRhQdPHgwXalUmoSFhXk1d0wjIyNRMySYkZERVCpVs63g5HK5\nqK6uBiCVCJvbXghB48aNy1+3bl1Wc9u2Ba66bAvTpgEDBgDvvgv07AmsXy+NYPLjj8DUqZzkGGN6\nUVhYKK8Z/3Ljxo12NctDQ0OLd+7caQMAp06dMktLSzO/k+NaWVmpCwoKaqf+cXZ2rjx27JgFAOza\ntcumZvnQoUOLYmNjbTXLuxQWFsoBIDw8vDAuLs6mZnqgvLw8eVpams5a4HGiawtjxgDr1knJ7cgR\naRLTXr30HRVj7B4XHR2du3DhQmcfHx9fleqvmsG33nrren5+vpG7u3v/efPmOXl4eJTb2Ni0eCqf\nSZMm3Zg+fbqrt7e3b3FxMS1YsCB7zpw5Ln5+fj5yuby2lLls2bLsY8eOWXl4ePTfu3evjYODQyUA\nBAcHl8+fPz/r4Ycf9vT09PQNCwvzzMzM1NngvKTdCqajCwkJEYmJifoOgzHWyRDRKSFEiPYye3v7\njNzc3Bv6iqk1VCoVKisrycLCQiQlJZk+9thjnunp6Yqaqs+Oyt7e3i43N9et/nK+RscYY/eYoqIi\n2fDhw72qqqpICIGVK1de7uhJrimc6Bhj7B5jY2NTrVAoUvQdR3vha3SMMcY6NU50jDHGOjVOdIwx\nxjo1TnSMsXbh4mIPIqpzc3Gx13dY7B7AjVEYY+0iMzMPt088mqefYDqJzMxMo2nTpvU+c+aMVdeu\nXVXGxsZi1qxZuZMmTfpT37EZEk50raRWqxEfH48zZ84gMDAQERERkMvlze/IGGOtUF1djVGjRnk8\n/fTT+fv27fsDANLS0ky++OKLbvqOzdBw1WUrqNVqjBk5EjFPPIHSBQsQM2ECxowcCbW6xQMMMMbY\nXdm3b5+1sbGx0J4nztPTs/Ltt9++BkiTo06aNMmlZt1DDz3kERcXZw0Ae/fu7RIQEODt6+vrExER\n0begoEAGANOmTXNyd3fv7+np6TtlyhRnAPj4449t+vXr19/Ly8s3JCSk2bEyDZHOEh0RfUxE14hI\nobVsHBElEVE1EYU0sl9vIjpMRMmabV/XVYytFR8fj6wTJ5BQXY33ACQUF+PqiROIj4/Xd2iMsU7u\nwoUL5gMHDixtfsu6cnJyjJYuXepw9OjRtOTk5JSgoKDSd999t1dubq78u+++s/n999+T0tLSkpcu\nXZoDAMuWLXP4/vvv05RKZfL+/fsvtv0z0T1dluhiAYTXW6YA8BSAo03spwLwphDCF8BQAK8Ska9O\nImylM2fO4LGSEtQM0GYMYGRJCc6ePavPsBgzSL1798JDD6HOrXdvHhO2rTz77LMuXl5evn5+fj5N\nbXfkyBHL9PR0s8GDB3t7e3v77ty50/bKlSsmtra2alNT0+rx48e7ffrpp92srKyqASAkJKT4mWee\ncVuxYoWd9niZHUmj1+iIKKipHYUQp5tZf5SI3OotS9Ecu6n9cgDkaO4XEVEKACcAyU2dTx8CAwMR\nY2mJRcXFMAZQBeCApSUWBQToOzTGDM6VK7l48MEHAQBHjhzRayydwYABA8q+/vrr2pkCtm7deiUn\nJ8coJCTEB5Cm26mZOgcAKioqZAAghMD9999fWHNdT9vZs2dTvvnmmy67d++2+fDDD3smJCSkffbZ\nZ1d+/PFHy2+++aZrcHCw76lTp5Lt7e071PWZpkp0iZBKZR9obiu0bh/oPDIAmkQZCOBEe5zvTkVE\nRMBpyBAMsbLCPCIMsbKC85AhiIiI0HdojLFObtSoUUUVFRX0n//8p3YesOLi4trvdHd398qkpCQL\ntVqNixcvGp8/f94SAB588MGSxMREK4VCYQoAhYWFsvPnz5sWFBTINBO1FmzYsCEzNTXVAgCSkpJM\nw8LCSlatWpVtY2OjunTpks6m09GVplpdzgLwdwBlAHYC+FIIUdwuUQEgIisAewC8IYQobGK7KQCm\nAICLi0tjm+mEXC7HlwcOID4+HmfPnsWigABudckYaxcymQz79u1Lf/XVV3uvXr3avnv37ioLCwv1\nwoULrwLAo48+Wrxu3boKDw+P/h4eHuW+vr6lAODo6KjauHFjRlRUVN/KykoCgJiYmKyuXbtWR0ZG\nelRUVBAAvPvuu5kAMHPmTOeMjAxTIQTdf//9hUOHDi3T13O+W81O00NEfQFEAXgCwGUAS4UQLboI\npSmRxQkh/OotPwJgthCiwTl1iMgYQByAA0KI/7bkXABP08OYoeuoVZedbZqezuqup+kRQlwioq8B\nmAN4FoAnAJ21tiDpAt5HAFLuJMkBgFIJaP6Oai1dCtx3H3D8OPCvfwEbNwJeXsC+fcCKFc0fs/72\nu3cDdnZAbKx0a0797Wv+vj/4AIiLa35/7e1//RXYs0d6PG+e9LgptrZ1t8/PBzZtkh5PmQKkpTW9\nv6dn3e1tbYH33pMejx0rHa8poaF1tw8NBWbPlh7Xf58aEhlZd/vnn5duN24Af/978/vX3/7NN4FR\no6TPydSpze9ff/v6n6Xm8Gfvr+21P3tpaW82+/4b2mevLTjaOfrn5OfU+c51sHVQZd/IPtc2Z2CN\naaoxinZJLhNS9eVSIUSLiq1EtAPAgwDsiOgqgBgANwGsAdADwLdEdFYIMZKIHAFsFkI8DmAYpIR6\ngYhqEuq/hBDf3c0TZIwxQ5CTn2N0GHWHhnko/yEetKMdNFp1SUTVAM4D+BpAIYA6G95paas9cNVl\n52Nv74a8vMt1lvXq5Yrc3Az9BMRa5V6uuiSi4NsSHR6CEOJUG4WpU8uXL+9hYWFR/dprr+WvXr3a\ndvTo0YVubm5Vd3IMJyenAYmJiSkODg466adwN1WXi/BXcrPSRVCMNUdKcqLessa7pzDGdEN7BJZt\n27bZBQQElN1potOXRhOdEGJhO8bBGGPsDiiVSpPw8PB+QUFBJadOnbIaOHBgyQsvvHBj0aJFTvn5\n+UaxsbGXAGDmzJkuFRUVMjMzs+rY2Ng//P39K4qKimTjx493UyqV5n379i3Py8szXrt27ZUHHnig\n1MLCIvDFF1+89v3333c1MzOrjouLu9i7d2/VrFmzHK2srNR9+vSpVCgUFpMmTeprZmZWnZiYmOLl\n5eVXU1I7evSoxezZs3ufPHlSmZubKx87dmzfvLw8k+Dg4GLtGsT169d3//DDD3tVVVVRUFBQyZYt\nWy4bGemmJpfHumSMsXbgYOugegh1/znYtq4KLzMz0yw6OjovPT1dkZ6ebrZ9+3bbxMTE1CVLllxd\nsmSJg7+/f/lvv/2WmpKSkhwTE5M1Z84cZwB4//33e3Tr1k2dnp6etHTp0qzk5GTLmmOWlZXJQkND\ni5VKZXJoaGjxmjVremifc/Lkybf8/PxKt2zZcik1NTXZysqq0ab7c+fOdQwNDS2+ePFi0pgxY/7M\nyckxAYDTp0+b7d69u3tiYmJqampqskwmExs2bLBtzWvRFL4Qyhhj7UAXrSudnJwqBg8eXAYAnp6e\nZWFhYYUymQxBQUGlixcvdtR0AO+TkZFhRkSiqqqKAOD48eNWr7/++jUAGDRoULmnp2ftmJnGxsYi\nKiqqAACCg4NLDh061OVu40tISLDeu3fvRQCIiooqmDp1qhoA9u/fb61QKCz8/f19AKC8vFzWs2dP\nnY0vxomOGbRevVxvuybXq5ernqJhzLCYmJjUlqZkMhnMzMwEIA1moVarKTo62mnEiBFFBw8eTFcq\nlSZhYWHNzj5gZGQkZDJZzX2oVKpmL4rL5fLa4cbKysqarSkUQtC4cePy161bl9Xctm3hjqouiagF\nvW8Yazu5uRkQQtS5cYtLxlqmsLBQ7uzsXAkAGzdutKtZHhoaWrxz504bADh16pRZWlqa+Z0c18rK\nSl1QUFA7BJSzs3PlsWPHLABg165dteNvDh06tCg2NtZWs7xLYWGhHADCw8ML4+LibLKysowAIC8v\nT56WlqazocXu9Bqdk06iYIwx1uaio6NzFy5c6Ozj4+OrPfPAW2+9dT0/P9/I3d29/7x585w8PDzK\nbWxsWjxQ86RJk25Mnz7d1dvb27e4uJgWLFiQPWfOHBc/Pz8fuVxeW8pctmxZ9rFjx6w8PDz67927\n18bBwaESAIKDg8vnz5+f9fDDD3t6enr6hoWFeWZmZho3fsbWaXYIsDobE30shHhBV8G0FvejY8yw\n3cv96AyJSqVCZWUlWVhYiKSkJNPHHnvMMz09XVFT9dlR3fUQYNoMOckxxhhrmaKiItnw4cO9qqqq\nSAiBlStXXu7oSa4p3BiFMcbuMTY2NtUKhSJF33G0F+5HxxhjrFPjRMcYY6xTa7bqkohCALwNwFWz\nPQEQQoiBOo7tjpWWKnHmzIN1lvXtuxRdu96HgoLjuHTpX/Dy2ggLCy/cuLEPmZnNz5VSf/v+/XfD\nxMQOOTmxyM2NbXb/+tsHBh4BAFy58gHy85vvraG9fWHhr/Dzk+Y+uXRpHgoKmp4rxdjYts72VVX5\n8PKS5j5RKqegtLTpeXosLDzrbG9sbIu+faW5TxSKsaiqanqulK5dQ+ts36VLKFxcpLlP6r9PDbG1\njayzvb3983BweB6VlTeQlNT8PD31t+/d+03Y2Y1CaakSSmXz8/TU377+Z6k5/Nlr+LM3alRas++/\noX32WMfWkmt02wG8BeACgGrdhsMYY4y1rZbMMP6LEOL+doqnVbh7Qefj4mKPzMy8Ost69+6FK1dy\n9RQRaw3uXtC2rly5YjRt2jSXc+fOWXTp0kVtZ2dXtWbNmsyBAwdWnD9/3nT69Om9MzIyzCwtLdVu\nbm4VGzduvHLu3DnzUaNGea5YseLyrFmzbgDA8ePHzYcNG+b7zjvvXF20aFGdP7js7Gyj8PBwj6qq\nKtnKlSuvvPfee/Z79uz5AwA2b97cfe7cudcbik0fGute0JJrdDFEtJmIJhDRUzW3tg+RsdtlZubh\n8GHUudVPfIzdi6qrqzF69GiPBx54oCgzM1ORlJSUsmzZsqzs7Gzj0tJSGjVqVL+pU6dev3z5siI5\nOTll2rRp13Nzc40AoF+/fmV79uypHcFk69at3b28vBqcVDsuLs7ax8enLCUlJTk8PLz4p59+umhn\nZ6fOz8+Xf/TRRz3b6/m2RksS3WQAAQDCAYzS3CJ1GRRjrPNRq9XIz8/H5cuXERcXB7W6xQNxsAbE\nxcVZGxkZCe154kJDQ8vCw8OLN23a1D0oKKj46aefLqhZFxkZWTRo0KByAHBycqqsqKiQZWZmGlVX\nV+PHH3/s+vDDDxfUP8fx48fNY2JinL///vtuNaOgODk5DcjJyTF68803nTMzM029vb19p06d6tw+\nz/rutOQa3SAhRLMDgTLGWGPUajVGjhyJ5ORkVFdXY8KECRgyZAgOHDgAuVze/AHYbc6fP2/u7+9f\n2tA6hUJhHhQU1OC6Gk8++eStrVu32oSEhJQOGDCg1NTU9LbrWPfdd1/ZvHnzshMTEy23bNlyRXvd\nihUrrkZGRpqnpqYmt+6Z6F5LEt1xIvIVQhj8k2GMGab4+HicOHECNSPcFxcX48SJE4iPj0dkZCeo\nIHrhhd5QKCza9Jh+fqX4+OPMNj2mlkmTJt0cO3ase2pqqvnTTz9985dffrHS1bn0rSVVl0MBnCUi\nJRGdJ6ILRHRe14ExBkgNTx56CHVuvXv30ndY7A6dOXMGJSUldZaVlJTg7Nmzeoqo4xswYEDZuXPn\nGkyu/fv3Lz99+nSTidfFxUVlbGwsjh492mX06NGFuonSMLSkRBeu8ygYa8SVK7kdtqUe+0tgYCAs\nLS1RXFxcu8zS0hIBAQF6jKoN6bDk1ZhRo0YVvfPOO/TBBx/YzZ49+wYAnDhxwvzWrVvyl19+OX/l\nypX2O3fu7FoziWp8fLyVnZ1dnclN//3vf2fl5uYaGxnd+WiQXbt2VZeUlHSIQUdaMkHe5YZu7REc\nY6xziIiIwJAhQ1AzoaeVlRWGDBmCiIgIPUfWcclkMnzzzTfpP/74Y5fevXv7eXh49I+OjnZycnKq\nsrKyEl9//fXFdevW9XR1dfVzd3fvv27dup729vZ1Et2jjz5a8uyzz/55N+e3t7dXBwcHF/fr16+/\noTdGuaNpegwd96PrnLhE1zmo1WoEBASguLgYa9asQURERIdpiGKo/ehYXa3pR3dXiOhjIrpGRAqt\nZeOIKImIqjVDizW2b7jmmuBFIpqrqxgZY+1HLpfD1tYWrq6uiIyM7DBJjnV8uqxfjcXt1/cUAJ4C\ncLSxnYhIDmAdgAgAvgAmEJGvjmJkjDHWyeks0QkhjgK4WW9ZihBC2cyugwFcFEJcEkJUAtgJ4Akd\nhdlq9vZuIKI6N3t7N32HxRhjTMMQJ151AqDdgukqgCF6iqVZeXmXAYh6y0g/wTDGGLtNh2ga2hQi\nmkJEiUSUeP26wYwtyhhjzEAYYqLLAtBb67GzZlmDhBCbhBAhQoiQHj166Dw4xhhjHYshJrrfAPQj\noj5EZAIgCsA3eo6JMcYMjlwuD/b29vbt169f/7CwMI8bN27cUVPWWbNmOS5YsOC2oYaUSqVJv379\n+rddpLdrj3PU0GX3gh0AfgXgRURXiehFIhpDRFcBhAL4logOaLZ1JKLvAEAIoQLwGoADAFIA7BJC\nJOkqztbq1csV0qTrf92kZYwxplumpqbVqampyb///ntSt27dVO+//z5XazVAZ41RhBATGln1ZQPb\nZgN4XOvxdwC+u9NzKpVKnD17FgEBATh06BAWL1582zYbN26El5cX9u3bhxUrVty2fuvWrejduzc+\n//xzfPjhh7et3717N+zs7BAbG4vY2Fh4e7vB29utdv13330HCwsLrF+/Hrt27bpt/5pOzx988AHi\n4uLqrDM3N0d8fDwA4N1338UPP/xQZ72trS327NkDAJg3bx5+/fXXOuudnZ2xbds2AMAbb7xx2ziC\nnp6e2LRpEwBgypQpSEtLq7M+ICAAq1atAgBMnDgRV69erbM+NDQU7733HgBg7NixyM/Pr7P+4Ycf\nxjvvvANAGgmjrKzu9FaRkZGYPXs2gL86gWv7xz/+gWnTpqG0tBSPPy59HIQQSExMhFqtxhtvvIEV\nK1bg1q1b+Pvf/37b/q+88grGjx+PzMxMPPvss7etf/PNNzFq1CgolUpMnTr1tvXz58/HI488grNn\nz+KNN964bf3SpUtx33334fjx4/jXv/512/pVq1a162evvo7y2UtLS7vt/TfEz15HM3To0JLz58+b\n1zx+5513en355ZfdKysr6W9/+9ufK1euzAaA6Oho+88//9zO1ta2ytHRsTIwMLAUAH7++WeLl156\nyQ0AHnzwwdqxL1UqFV599VXnY8eOWVdWVtLLL7987a233roRFxdnvWjRIsfu3btXKZVK8wEDBpR+\n9dVXf8hkMvz8888Ws2bN6l1aWiqzsbFRbd++PcPV1bWqsXPomiFWXXYoCQnH8dNPP9XeLC0t4eJi\nr++wOgUhBM6fP4/S0lJUVFRgw4YNGDlyJM9jxlg9KpUKhw8ftn7yySf/BIC9e/d2uXjxotn58+dT\nUlJSks+ePWsRHx9v9fPPP1t8+eWX3S9cuJB88ODB38+dO2dZc4wXX3zRbdWqVVeUSmWdmWpWrVpl\n17VrV7VCoUg5d+5cyqefftojNTXVBABSUlLM161bl3nx4sWkK1eumB48eNCqoqKCZsyY4fL111+n\nJyUlpTz33HM3Zs+e7dTUOXSNhwBrJSLC4cN1lz30kPQlzVonLi4OEyZMqDMQsJWVFXbs2NE5pna5\nB3XU4dwMdQgwuVwe3K9fv7K8vDxjd3f38oSEBKWRkRGmTJni/O2339pYW1urAaC0tFQ2c+bM3KKi\nItnNmzeNVq1alQ0AL730krOjo2PVjBkzbgwYMMA3JyfnAiANDj1x4sS+v//+e1J4eHjf1NRUCzMz\ns2oAKCoqkq9Zs+ayiYmJWLp0qf3x48d/B4BnnnnGZdiwYcWDBg0qfeihh3ycnZ0rAGkm9B49elR9\n/fXXlxo7R1u9Hu0+BBhjrcVTuzDWtJprdFeuXLkghMCyZct6AtIP7TfeeCMnNTU1WbNeMXPmzLtK\nykIIWrFixZWaY2VlZV146qmnCjXnr/1FL5fLoVKpSAhBHh4eZTXbp6WlJR87duz3tnnGd4cTHTNY\nNVO7aOtUU7sw1kasra2rV69efWX9+vW9qqqqEBERUbh161a7goICGQD88ccfxllZWUZhYWHF3333\nXbfi4mK6deuW7ODBg90AwM7OTm1tba0+cOCAFQDExsZ2rzn2o48+WvDhhx/2qKioIAA4f/68aWFh\nYaO5Y+DAgeU3b940OnTokCUAVFRUUGJiollT59A1QxwZhTEAf03tcvjwYVRXV/PULqzjGzzYCwBw\n8mRzQyHesWHDhpV5e3uXbdq0qfurr756MykpyWzQoEHeAGBhYVG9ffv2P+6///7SMWPG3PTz8+tv\na2tbNXDgwNoqk48++ijjpZdeciOiOg1FZs6ceSMjI8N0wIABPkII6t69e9V3332X3lgcZmZmYufO\nnekzZsxwKSoqkqvVanrllVfyQkJCyhs7h67xNbpWcnGxR2ZmXp1lvXv3wpUrue0aR2fVkad2Ybe7\n56/R6TDRscav0XGJrpV4BmzdqpnaxdbWlhugsA5NpVLh21u35GdKS+VeO3Z0HTduXMHdzOzN7hxf\no2OMMR1TqVQIHz6836JLl8wrsrNNlr/4Yt/w4cP7qVSq5ndmrcaJjjHGdOyLL77omn/unFVCdTXe\nA3CyrEx249w5qy+++KKrvmO7F3CiayW1Wo38/HxcvnwZcXFx3JmZMXab06dPW4SXl8uMNY+NAUSU\nl8vOnDljoc+47sTy5ct7rF271hYAVq9ebZuRkWHc3D71OTk5DcjJyWn3+lpOdK2gVqsxcuRIJCcn\nIyMjAxMmTOCROxhjtwkKCirdb2ZWXaV5XAUg3sysumb4rY5gzpw511977bV8ANi2bZvdlStX7jjR\n6QsnulaIj4/HiRMnUF1dDQAoLi7GiRMnascMZIwxABg3blyBrb9/8RCZDPMADDI3r7bz9y8eN25c\nwd0eU6lUmvTp06f/2LFj3dzc3PxGjx7d56uvvrIOCgrydnV19Tt8+LDF4cOHLQICArx9fHx8AwMD\nvc+dO2cKAEVFRbLHH3+8r7u7e/9HH33UfeDAgd5Hjx61AAALC4vA6dOnO3l5efn6+/t7Z2ZmGgF/\nzXTwySef2CgUCotJkyb19fb29i0uLibtktrRo0ctBmtal+bm5sqHDRvWz8PDo//48eNdtVv5r1+/\nvvuAAQN8vL29fZ9++mlXXV6v5ETXCjxyB2OsJYyMjLD/559/j+nbt8zM0bEy+qOPLu3/+effW9vq\nMjMz0yw6OjovPT1dkZ6ebrZ9+3bbxMTE1CVLllxdsmSJg7+/f/lvv/2WmpKSkhwTE5M1Z84cZwB4\n//33e3Tr1k2dnp6etHTp0qzk5OTakRnKyspkoaGhxUqlMjk0NLR4zZo1dWZEmDx58i0/P7/SLVu2\nXEpNTU22srJqtI/a3LlzHUNDQ4svXryYNGbMmD9zcnJMAOD06dNmu3fv7p6YmJiampqaLJPJxIYN\nG2xb9WI0gdu2tkLNyHmPyXAAABoHSURBVB3aYzHyyB2MNe5e7oJjZGSEJ2xs1E/Y2KgxYcJdl+S0\nOTk5VQwePLgMADw9PcvCwsIKZTIZgoKCShcvXux48+ZN+fjx4/tkZGSYEZGoqqoiADh+/LjV66+/\nfg0ABg0aVO7p6VlbhWpsbCyioqIKACA4OLjk0KFDXe42voSEBOu9e/deBICoqKiCqVOnqgFg//79\n1gqFwsLf398HAMrLy2U9e/bUWZGOE10r8MgdjLE70sYdxU1MTGpLUzKZDGZmZgKQ+p+q1WqKjo52\nGjFiRNHBgwfTlUqlSVhYmFdzxzQyMhIymazmPlQqFTW3j1wuFzWXcMrKypqtKRRC0Lhx4/LXrVuX\n1dy2bYGrLltBLpfjwIED8PX1hZubG3bs2IEDBw7wyB2MMYNQWFgod3Z2rgSAjRs32tUsDw0NLd65\nc6cNAJw6dcosLS3NvLFjNMTKykpdUFBQ+0Xn7OxceezYMQsA2LVrl03N8qFDhxbFxsbaapZ3KSws\nlANAeHh4YVxcnE1WVpYRAOTl5cnT0tJM7v6ZNo0TXSvVjNzh6uqKyMhITnKMMYMRHR2du3DhQmcf\nHx9f7cYeb7311vX8/Hwjd3f3/vPmzXPy8PAot7GxaXFz8UmTJt2YPn26a01jlAULFmTPmTPHxc/P\nz0cul9eWMpctW5Z97NgxKw8Pj/579+61cXBwqASA4ODg8vnz52c9/PDDnp6enr5hYWGemZmZOmvF\nyWNdtgEeAky3+PVl+mao89HdLZVKhcrKSrKwsBBJSUmmjz32mGd6erqipuqzo+KxLhljjAGQuhcM\nHz7cq6qqioQQWLly5eWOnuSawomOGTwuyTHWtmxsbKoVCkWKvuNoL3yNjjHGWKfGiY4xxlinxomO\nMcZYp6bTREdEHxPRNSJSaC3rTkQHieh3zf82jey7nIiSiCiFiFYTUbOdFhljjLH6dF2iiwUQXm/Z\nXAA/CCH6AfhB87gOIroPwDAAAwH4ARgEYIROI22FI0eOcIMJxli7k8vlwd7e3r4eHh79vby8fGNi\nYnrpavaU1atX206aNMmloXUWFhaBOjlpG51Dp60uhRBHicit3uInADyouf8pgCMAouvvCsAMgAkA\ngjR9U56OwmSMsQ7J1NS0OjU1NRkAsrKyjMaNG9e3sLBQvnLlyuyW7F9VVQVj4w4z285d08c1ul5C\niBzN/VwAvepvIIT4FcBhADma2wEhRINNYYloChElElHi9evXdRUzY4wZNCcnJ9XmzZszPvnkk57V\n1dVQqVSYOnWqs5+fn4+np6fv+++/bwcAcXFx1sHBwV5hYWEe/fr18wManzLnf//7n62bm5vfgAED\nfI4fP25Vc67U1FSTgIAAb09PT98ZM2Y4asfxzjvv9Ko558yZMx0BaUqhvn379o+KinL18PDoP2zY\nsH7FxcUEAElJSabDhw/v9//t3X1wVFWax/HvkwSMEYjhZTCENwEhCSgDKEV0EUVx0VmdEYYBZi3F\nEXS01FFHQXemdGoVB0VXyxEs31B8WVxxURlWdJDFDYUwgkAwCQkSjAnyKmoAA4QkZ/+4N0wT8tKE\ndJq+/D5WV597+9zbz0k3/Xjuyzn9+/fPGDJkSL9169YlNvYexyuqF6M4b1iWY25SNLM+QAbQFUgD\nRprZ8Hr28YJz7nzn3PmdOnWqq4qIyCkhMzOzoqqqim+++Sbh6aef7picnFyVm5u7MScnZ+PcuXM7\nFRQUtAbIz89Pmj17dklxcXFufVPmfP31161mzJjR5dNPPy1YvXp1Qeh4mLfddlv3yZMn7960aVN+\nampqzXyyLFiwoN3mzZsTN2zYsHHjxo3569evT1q8eHEbgJKSksQ777xz1+bNm/OSk5OrXnvttRSA\nyZMn95g9e3ZJXl7expkzZ2699dZbuzf0Hk0RjRvGd5pZqnNuu5mlArvqqHMtsMo5tx/AzBYDWcDy\nFoxTRCRmffzxx+0KCgqSFi5cmAKwb9+++Pz8/MTWrVu7884778f09PQKqH/KnOzs7DOGDRu2r0uX\nLpUAY8aM+W7Tpk2JAGvXrm2zePHiIoBbbrllz8MPP9zV31e77OzsdpmZmZkA5eXlcQUFBYm9evWq\nSEtLO3ThhRceABg0aFB5cXHxaWVlZXHr1q1rM27cuN41cVdUVFhD79EU0Uh0C4EbgBn+8/t11CkB\nppjZn/HO0Y0Anm6xCEVEYlB+fn7r+Ph40tLSKp1z9uSTT5aMHTt2b2idRYsWtU1KSqquWa5vypzX\nX3/9zIbeKy4u7pijcc457rrrru333XffUWOAFhYWtg6dUig+Pt4dOHAgrqqqirZt21bWnGcM5z2a\nItK3F8wDVgL9zGyrmd2El+BGmdmXwOX+MmZ2vpm95G/6DlAEfAHkADnOub9GMlYRkUgbOnRov6FD\nhzY6J1xTbNu2LWHKlCk9brzxxl1xcXGMGjWq7Lnnnut06NAhA9iwYcNpe/fuPeY3v74pcy6++OIf\n//73v7fdsWNH/KFDh+zdd989civY4MGD97/44ovtAV588cUjM4NfeeWVe19//fWOZWVlcQBfffVV\nq5r91qV9+/bVXbt2rZgzZ04KQHV1NStXrjy9ofdoikhfdTmxnpcuq6PuGmCyX64CbolgaCIiMe/Q\noUNx6enpmZWVlRYfH+/Gjx+/56GHHtoJcPfdd39bXFx82rnnnpvhnLP27dsf/uCDD4pq7yN0ypzq\n6mpatWrlnnnmmZLLLrvsx2nTpm0bNmxYRtu2basGDBhwZBby2bNnl0yYMKHX008/fdbo0aN/qFk/\nZsyYvXl5eYkXXHBBOkBSUlL1m2+++VVCQkK9PbN58+ZtmTJlSo/HHnsstbKy0q699trvsrKyDtT3\nHk2haXpERBrRHNP0VFZWkpGRkVleXh7/xBNPlIwbN64sIUHj6jen+qbp0RBgIiIRVllZyfDhw8/Z\nsmXL6du2bWt900039Ro+fPg5oZOhSuQo0YmIRNj8+fOTc3Jy2lRXe9eAHDhwIC4nJ6fN/Pnzk6Mc\n2ilBiU5EJMLWrl2bdPDgwaN+bw8ePBi3bt26pGjFdCpRohMRibDBgweXJyYmVoeuS0xMrB40aFB5\nfducbB5//PFOzz77bAfwxr0sLi4+7rHD0tLSzt2+fXuLn5hUohMRibBx48aVDRw4cH9cnPeTe/rp\np1cPHDhw/7hx48qiHFrYpk6duvv222/fA/DGG290LCkpiZlBMpXoREQiLCEhgeXLl3/Zq1evA126\ndKl4+eWXtyxfvvzLE7nqsrCwsPXZZ5/df+zYsT179uw54Jprrjn7vffeazt48OD0Hj16DFi2bFnS\nsmXLkn7605+mZ2RkZA4aNCg9JyfnNIB9+/bFXXXVVb169+7df9SoUb3PO++89Ozs7CTwZgm44447\n0vr165c5cODA9NLS0gSAe+65p8uDDz7Y+ZVXXknJzc1Nuv7663ulp6dn7t+/30J7atnZ2Uk19wru\n2LEj/qKLLjqnT58+/cePH98j9Cr/+sbXjAQlOhGRFpCQkEBKSkpVWlpaxcSJE5vl1oLS0tLEadOm\n7SwqKsotKipKfPPNNzusWbOmYPr06VunT5+eOnDgwIOrV68u2LhxY/5DDz30zdSpU7sCzJw5s9OZ\nZ55ZVVRUlPfoo49+k5+ff0bNPg8cOBCXlZW1v7CwMD8rK2v/X/7yl6MGEb7xxhu/HzBgQPlrr722\npaCgIL9Nmzb13qN2//33d8nKytq/efPmvGuvvfaH7du3twaob3zNE/6D1EM3cYiItJDPPvussDn3\nl5aWdmjo0KEHAPr27Xtg5MiRe+Pi4hg8eHD5I4880uW7776LHz9+/NnFxcWJZuYOHz5sAJ9++mmb\n3/3ud7sALrjggoN9+/Y9cq6wVatWbsKECWUAQ4YM+fHjjz9u19T4Vq1a1XbBggWbASZMmFB2yy23\nVEH942s29X0ao0QnIhKjQsePjIuLIzEx0QHEx8dTVVVl06ZNSxsxYsS+JUuWFBUWFrYeOXJko8OP\nJSQkuJpziQkJCVRWVlpj28THx7vQWycaq1/f+JqRokOXIiIBtXfv3viuXbtWADz//PMda9ZnZWXt\nf+utt1IAPv/888TQKXjC0aZNm6qysrL4muWuXbtWrFixIgng7bffPjIm5rBhw/a9+uqrHfz17fbu\n3RsP9Y+v2fSWNkyJTkQkoKZNm7bjT3/6U9eMjIzM0Is97rvvvt179uxJ6N27d/8HHnggrU+fPgdT\nUlKqwt3v9ddf/+0dd9zRo+ZilAcffHDb1KlTuw8YMCAjPj7+SC9zxowZ21asWNGmT58+/RcsWJCS\nmppaAUePr9m3b9/MkSNH9i0tLY3YVZwa61JEpBHNMdblyaSyspKKigpLSkpyeXl5p11xxRV9i4qK\ncmsOfcaq+sa61Dk6EZFTzL59++KGDx/e7/Dhw+ac46mnnvo61pNcQ5ToREROMSkpKdW5ubkbox1H\nS9E5OhGRpqmumdRUos//LKrrek2JTkSkaXJnzZqVrGQXfYcOHbJZs2YlA7l1va6LUUREGlHXxShm\n9pPOnTu/BAxAnYZoqwZyd+7cOdk5t6v2izpHJyLSBP4P6jXRjkMap/8LERGRQFOiExGRQFOiExGR\nQItYojOzOWa2y8xyQ9a1N7MlZval/5xSz7bdzexvZrbRzPLNrGek4jxR3c/qjpkd9eh+VvdohyUi\nIr5I9uheBUbXWnc/sNQ5dw6w1F+uy2vATOdcBjAUOOYqmpNF6c5SltX6r3RnabTDEhERX8QSnXMu\nG/iu1uqfA3P98lzgF7W3M7NMIME5t8Tfz37nXHnteiIiIuFo6XN0nZ1z2/3yDqBzHXX6Aj+Y2QIz\nW2dmM80svo56IiIijYraxSjOu1O9rrvVE4DhwL3ABUAvYFJ9+zGzm81sjZmt2b17dyRCFRGRGNbS\nN4zvNLNU59x2M0ul7nNvW4H1zrktAGb2HjAMeLmuHTrnXgBeAG9klMiEXb9unbtx6c5Lj1knIiIn\nh5bu0S0EbvDLNwDv11FnNXCmmXXyl0cC+S0QW5OU7CjBOXfUo2RHSbTDEhERXyRvL5gHrAT6mdlW\nM7sJmAGMMrMvgcv9ZczsfDN7CcA5V4V32HKpmX0BGPBipOIUEZFg06DOIiKNqGtQZ4kdGhlFREQC\nTYlOREQCTYlOREQCTYlOREQCTYlOREQCTYlOREQCTYlOTmqaBklETlRLDwEmclxqpkEKVXvINRGR\nhqhHJyIigaZEJyIigaZEJyIigRaoc3TlheWsu2TdUet6PdqL5AuTKfu0jC3/toV+z/cjqV8S3/71\nW0qfLG10n7Xr93+nP607tmb7q9vZ8eqORrevXX/QJ4MAKHmihD2L9jS6fWj9vSv3MuC/BwCw5YEt\nlK0sa3DbVh1aHVX/8J7D9HuhHwCFNxdSvqnhiduT+iYdVb9Vh1b0+nMvAHLH5nJ4z+EGt0/OSj6q\nfrusdnS/17uQpPbnVJcO/9LhyDRIT/EUH/IhH/ERGZ0ywtr+rElnkToplYpvK8j7ZR7dft+Njld3\npLywnMJbChvdvnb92t+lxui7F9vfveOpLyc39ejkpFYzDdKIESN45ZVXcM6xPn99tMMSkRii2QtE\nRBqh2Qtim3p0IiISaEp0IiISaEp0IiISaEp0IiISaEp0IiISaEp0IiISaEp0IiISaEp0IiISaEp0\nIiISaBFNdGY2x8x2mVluyLr2ZrbEzL70n1Ma2L6dmW01s2cjGaeIiARXpHt0rwKja627H1jqnDsH\nWOov1+dhIDsyoYmIyKkgoonOOZcNfFdr9c+BuX55LvCLurY1syFAZ+BvEQtQREQCLxrn6Do757b7\n5R14yewoZhYHPAnc25KBiYhI8ET1YhTnTZ1Q1/QJtwEfOOe2NrYPM7vZzNaY2Zrdu3c3e4wiIhLb\nojHx6k4zS3XObTezVGBXHXWygOFmdhvQBmhtZvudc8ecz3POvQC8AN40PZEMXEREYk80Et1C4AZg\nhv/8fu0Kzrl/rSmb2STg/LqSnIiISGMifXvBPGAl0M+/TeAmvAQ3ysy+BC73lzGz883spUjGIyIi\npx7NMC4i0gjNMB7bNDKKiLSI7md1x8yOenQ/q3u0w5JTQDTO0YnIKah0ZynLWHbUukt3XhqlaORU\noh6diIgEmhKdiIgEmhKdiIgEms7RiUiL6Na52zHn5Lp17halaORUokQnIi2iZEdJtEOQU5QOXYqI\nSKAp0YmISKAp0YmISKAp0YmISKAp0YmISKAp0YmISKAp0YmISKAp0YmISKAFaj46M9sHFEY7jgjp\nCHwb7SAiSO2LbUFvXz/nXNtoByFNE7SRUQqDOjmima0JattA7Yt1p0L7oh2DNJ0OXYqISKAp0YmI\nSKAFLdG9EO0AIijIbQO1L9apfXLSCtTFKCIiIrUFrUcnIiJylJhLdGY22swKzWyzmd3fQL2xZubM\nLKauBGusfWY2ycx2m9l6/zE5GnE2VTifn5n9yszyzSzPzP6zpWM8EWF8fk+FfHabzOyHaMTZVGG0\nr7uZLTOzdWa2wcyuikacTRFG23qY2VK/XZ+YWddoxClN4JyLmQcQDxQBvYDWQA6QWUe9tkA2sAo4\nP9pxN2f7gEnAs9GONYLtOwdYB6T4yz+JdtzN2b5a9e8A5kQ77mb+/F4AbvXLmUBxtONuxrbNB27w\nyyOB16Mdtx7hPWKtRzcU2Oyc2+KcqwDeAn5eR72HgceAgy0ZXDMIt32xKpz2TQFmOee+B3DO7Wrh\nGE/E8X5+E4F5LRJZ8winfQ5o55eTgW0tGN+JCKdtmcD/+uVldbwuJ6lYS3RpQGnI8lZ/3RFmNhjo\n5pz7n5YMrJk02j7fWP/wyTtm1q1lQmsW4bSvL9DXzFaY2SozG91i0Z24cD8/zKwHcDb/+OGMBeG0\n70/AdWa2FfgAr9caC8JpWw4wxi9fC7Q1sw4tEJucoFhLdA0yszjgP4DfRzuWCPor0NM5dx6wBJgb\n5XiaWwLe4ctL8Ho8L5rZmVGNKDImAO8456qiHUgzmwi86pzrClwFvO7/uwyCe4ERZrYOGAF8AwTt\n8wukWPsCfgOE9mC6+utqtAUGAJ+YWTEwDFgYQxekNNY+nHN7nHOH/MWXgCEtFFtzaLR9eP8nvdA5\nd9g59xWwCS/xxYJw2ldjArF12BLCa99NwNsAzrmVQCLeOJgnu3D+7W1zzo1xzg0C/uCvi6mLiU5V\nsZboVgPnmNnZZtYa78diYc2Lzrky51xH51xP51xPvItRrnHOxco4dQ22D8DMUkMWrwE2tmB8J6rR\n9gHv4fXmMLOOeIcyt7RkkCcgnPZhZulACrCyheM7UeG0rwS4DMDMMvAS3e4WjbJpwvm31zGkd/oA\nMKeFY5QmiqlE55yrBG4HPsL7gX/bOZdnZv9uZtdEN7oTF2b77vQvu88B7sS7CjMmhNm+j4A9ZpaP\nd8L/PufcnuhEfHyO4/s5AXjLORdTozWE2b7fA1P87+c8YFIstDPMtl0CFJrZJqAzMD0qwcpx08go\nIiISaDHVoxMRETleSnQiIhJoSnQiIhJoSnQiIhJoSnQiIhJoSnTSJGa2P9oxnAzMrNi/368599nT\nzH4dsjzJzJ5tzvcQOZUo0clJycziox1DFPUEft1YJREJjxKdnBAzu8Sfm+sdMyswszfNM9rM5teq\nt8gvX2FmK81srZnNN7M2/vpiM3vMzNYC48zsTn9eug1m9pZf5wwzm2Nmn/lznh0zgryZzaq5ydfM\n3jWzOX75N2Y23S+/Z2af+zff3+yv+62ZzQzZz5GelJld57/nejN7vq5EXF8dM9tvZtPNLMcfqLqz\nv763v/yFmT0S0kueAQz393O3v66LmX1oZl+a2eNN/8RETkHRnidIj9h8APv950uAMryxAePwhrX6\nJ7zBmUuAM/x6zwHX4Y17mB2yfhrwoF8uBqaGvMc24DS/fKb//ChwXc06vLEwz6gV2wRgpl/+DFjl\nl18B/tkvt/efTwdygQ5AJ7ypWmr2s9hvSwbeYNqt/PWzgetDYu7YSB0HXO2XHwf+6JcXARP98m9r\n/U0XhcQxCW8YtGS8IbW+xpuhI+rfAz30iIWHenTSHD5zzm11zlUD6/FmV6gEPgSuNrME4GfA+3gD\nbWcCK8xsPXAD0CNkX/8VUt4AvGlm1wGV/rorgPv9bT/B++HvXiue5Xg9okwgH9jpjxGaBXzq17nT\nH6ZqFd5gvuc453YDW8xsmHnTr6QDK/DGbhwCrPbf9zK8CTpDNVSnAi+pAXyOd2gSP56aXm9jM6kv\ndd5Yrgf9NvVopL6I+BKiHYAEwqGQchX/+F69hTd+4HfAGufcPjMzYIlzbmI9+/oxpPwz4GLgauAP\nZnYuYMBY51xhfcE4574xb2qf0Xi9x/bAr/B6TPvM7BLgciDLOVduZp/gJcyamH8FFADvOuecH/Nc\n59wDDfwNGqpz2DlXM9Ze6N/neNT3NxaRRqhHJ5H0f8BgvFnD3/LXrQIuMrM+cOScW9/aG/qjxHdz\nzi3DO7yZDLTBG3T3Dj/5YGaD6nnvVcBdeIluOd5cYsv915KB7/0kl47Xy6zxLt7M0RNDYl4K/NLM\nfuK/Z3vzJk4NFU6dumIc65cnhKzfhzfllIg0AyU6iRjnTSq6CLjSf8Y/PDgJmGdmG/DO6aXXsXk8\n8IaZfQGsA55x3txfDwOtgA1mlucv12U5kOCc2wysxevV1SS6D4EEM9uId+HHqpCYv8cbvb6Hc+4z\nf10+8Efgb37MS4DQ6ZLCqlOHu4B7/Pp98M51gnfItsq/eOXuercWkbBo9gKRKDGzJOCAf3h0At6F\nKcdcRSoiJ0bH+UWiZwjwrH8Y9gfgN1GORySQ1KMTEZFA0zk6EREJNCU6EREJNCU6EREJNCU6EREJ\nNCU6EREJNCU6EREJtP8Hyj+YcOVIYAEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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g1KlT5m+//fYNABg6dGiVm5tbhXqfhoaGfOrUqSUAEBgYWH7s2LEe91u+06dP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\nTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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UFhbK1cOCbd26tXrWAn9//+K9e/eaA8C5c+eMkpKSmjXzgKmpqbKgoKB6hBU7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\nRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ooKysrNErhUIIioyMLFizZk1OY9u2BlN2L9gK4L8APInoChE918C2wUT0uf6h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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1MykPGzasKCIiwlK9vUdhYaEcACZNmlQYGRlpnpkp3VuYm5srT05ONnj4Z9o0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\nvdba5MK3AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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elW7sdnICQkOBp54CBg3iG7kZqwMnOsbasjt3pOS2a9e95NavH/DOO9JpSV9fTm6MNYIT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\niU5ERGLt/wFP5SC4byeUZwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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mk1VMhSaXy6FUKik0NNR2wIABuSdOnEiMj483CAoKcqnrmnp6ekImk6mfo6ys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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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dNyu1L3yxCIvw2I3HOrlW7F65W7mjT58+KC29c1uWicwESjNlJ9aq4+ird6Wt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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Uq6urq2dQUJBrRkaGzn4x0xBgRJCfDxw6JFRNnj0rzMw9ZoyQ4CZOBIyN9R0h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\nK9m1v0D9hktLwZ/X8aJFi+DLX4ZNm+B734NlyyA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jAHCFv361/3MRcG9dGd5YmFc2iK0Q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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FJzrG2prMTCmpffqpNA/cggXSrUsXU0fGWKvEiY6xtuL6dWD1amlGb61WmlngzTcbPWUO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\nB316mCwrYLyhAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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tLDIyMn/p0qXO3t7ePrqNPd5+++2bRUVFJgMHDvRduHChk7u7e6WNjY2qtced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\npLrmQUMR2wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6Cs6B338XHsjWTtr7ayYmwJAhwqVI7dS7d/P7I8QAqAuwzkGpVKKmpobJZDKe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\nwZsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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grlwJBAfrOzJC7mBoQ4AplUrU1tYyiUTCU1JSTB966CH3rKysZO3ZDHoiGgKM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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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A27b1VpQePXrgiLk5NAsoFQM4bG4OHx+feisDa950FgSJaCMR3SGiSK20ZUQUS0RXiGgv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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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RkbPW4l8BpNSx21EAo4nIQt0IZbR6HWOsIbdvA//6F9C3L/D661Kryeho4Nw5qUTHQ26x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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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TJk1yzcjISNCdzaAz6kydUVhbys6Wal9//CEtsbHAdc1dH+bmgJ8fsGiRlNSG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\nA+C5G2mMMbKxAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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j7DgARwgTR7/MOf+BMfZnAOCc72SMuQDYC8AZwpXb9ZzzT9o7Zr8bAox0Sn8c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\nrfUvbAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3xtgNxtirADYAsAZwlDEWxxjbrN3WgTH2q97uswDsZoxdBOADYLmh4iTNKDe3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\nCTQlOhERCbT/B3cMKXPeKl9oAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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yc3NsGTIEXx88yImQtQpu+GesoxACOHFCuoHdzk7q2JKZCaxcCVy9CkRHA9OmtZkECADR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\nkailJCgiIlFLSVBERKLW/wG9yYFbyV+TtwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Yli1bamYtCA4OLt67d68lAJw7d84sOTm5RTMPWFhYqAsKCmo6tDo6OlacPHlS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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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evHk2/v7++YmJiTHPPffcX+np6QYAcOnSJaN9+/aZR0ZGxsfHx8fKZDKxadMm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\nRCciIoH2/8xH3peGRx99AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IkrXHvm2oGNkDEAI4dkxatdvJCXj/fcDeXhoLl50tTbDMSY4x1goYskQXDWAt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\npkQnIiKhpkQnIiKh9v92HOKeNuyuFQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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lLl682MXHx8dXt7HHG2+8cT0/P9/M3d3db/78+c4eHh7ldnZ26uYed9q0aTdm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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6Dxxo6ggZYwYiIiKylyxZ4uLl5aU0bOzx6quvXsvLyzNzc3PzXrhwobO7u3uZ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\nYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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h4eG3jx492vte4zt9+rT9gQMHMgFg5syZpfPmzdMBwKFDh+xVKpU0ODjYHwCq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\n+vuTAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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HjFalo0BHCOkWYrEY9vb2sLe3R3R0tKmL0yeYm5s31KZEIlFDt15isRharZbF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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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76Df2mDFjxo3s7GwTd3d339mzZzt7eHgU29raauq634kTJ96cOnWqq64xyty5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\nREQC7f8B31JPleLAbOUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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g3759jX1KTpgwoTIhIcHRsHxwRUWFGACmTZtWkZiYaF9QIDybV1JSIs7MzLS+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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ODtCli9SYZOpUqXGJiYmho2TM4DjRMdaeCAFcviy1mNy1C/jjDymZjR0rJbf/+z8p2THG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\nRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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9xGIx9Ho9S0hIkE2aNKnyyJEjudnZ2XaxsbEBnW3TxsaGi0Qi42PodLpOh/4R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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MrHrq1Cn885//vCN906ZNCAoKwvHjx7Fq1ao70nfs2AEvLy98//332LBhwx3p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\nzHLBBc3MzHLBBc3MzHLh/wGuk/hx4UAF/AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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51vwyBAALi8dqzTelbn4bmwmwsZnQ7PXr5rezE37lN1fd/E5O82p+GTZH3bza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\nZmbZcoiZmVm2HGJmZpat/wGuFyV739A9rAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1A0VxcbEiICCgIDExMS4gIKBg3bp13TTPOWPGjLseHh5Fu3btupaQkBBnampa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\n7OJHYQCkvgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "make_a_dereddened_plot(data, band_names, band_wavelengths, \n",
    "                       data_emcee['ID'][:], Rv_inf[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ID_Gaia</th>\n",
       "      <th>ra</th>\n",
       "      <th>ra_error</th>\n",
       "      <th>dec</th>\n",
       "      <th>dec_error</th>\n",
       "      <th>var_type</th>\n",
       "      <th>omega_exp</th>\n",
       "      <th>omega_sigma</th>\n",
       "      <th>P_exp</th>\n",
       "      <th>P_sigma</th>\n",
       "      <th>m_exp_U</th>\n",
       "      <th>m_exp_B</th>\n",
       "      <th>m_exp_V</th>\n",
       "      <th>m_exp_g</th>\n",
       "      <th>m_exp_R</th>\n",
       "      <th>m_exp_rxa</th>\n",
       "      <th>m_exp_I</th>\n",
       "      <th>m_exp_Z</th>\n",
       "      <th>m_exp_J</th>\n",
       "      <th>m_exp_H</th>\n",
       "      <th>m_exp_K</th>\n",
       "      <th>FeH_exp</th>\n",
       "      <th>FeH_sigma</th>\n",
       "      <th>log_P_exp</th>\n",
       "      <th>m_sigma_J</th>\n",
       "      <th>m_sigma_H</th>\n",
       "      <th>m_sigma_K</th>\n",
       "      <th>ID</th>\n",
       "      <th>omega_inf</th>\n",
       "      <th>omega_inf_u</th>\n",
       "      <th>omega_inf_l</th>\n",
       "      <th>A_inf_J</th>\n",
       "      <th>A_inf_J_u</th>\n",
       "      <th>A_inf_J_l</th>\n",
       "      <th>M_inf_J</th>\n",
       "      <th>M_inf_J_u</th>\n",
       "      <th>M_inf_J_l</th>\n",
       "      <th>A_inf_H</th>\n",
       "      <th>A_inf_H_u</th>\n",
       "      <th>A_inf_H_l</th>\n",
       "      <th>M_inf_H</th>\n",
       "      <th>M_inf_H_u</th>\n",
       "      <th>M_inf_H_l</th>\n",
       "      <th>A_inf_K</th>\n",
       "      <th>A_inf_K_u</th>\n",
       "      <th>A_inf_K_l</th>\n",
       "      <th>M_inf_K</th>\n",
       "      <th>M_inf_K_u</th>\n",
       "      <th>M_inf_K_l</th>\n",
       "      <th>A_inf_V_l</th>\n",
       "      <th>A_inf_V</th>\n",
       "      <th>A_inf_V_u</th>\n",
       "      <th>A_SandF_J</th>\n",
       "      <th>A_SFD_J</th>\n",
       "      <th>A_SandF_H</th>\n",
       "      <th>A_SFD_H</th>\n",
       "      <th>A_SandF_K</th>\n",
       "      <th>A_SFD_K</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Gaia DR2 4096979650282842112</td>\n",
       "      <td>276.185419</td>\n",
       "      <td>0.049278</td>\n",
       "      <td>-16.797174</td>\n",
       "      <td>0.045807</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.702227</td>\n",
       "      <td>0.058590</td>\n",
       "      <td>12.729174</td>\n",
       "      <td>0.000179</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.590</td>\n",
       "      <td>8.410</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.436</td>\n",
       "      <td>5.967</td>\n",
       "      <td>5.747</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.104800</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>5</td>\n",
       "      <td>0.785693</td>\n",
       "      <td>0.826474</td>\n",
       "      <td>0.746930</td>\n",
       "      <td>2.175207</td>\n",
       "      <td>2.239572</td>\n",
       "      <td>2.104222</td>\n",
       "      <td>-5.615639</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.364325</td>\n",
       "      <td>1.404696</td>\n",
       "      <td>1.319802</td>\n",
       "      <td>-5.875227</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.848057</td>\n",
       "      <td>0.873151</td>\n",
       "      <td>0.820381</td>\n",
       "      <td>-5.924813</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.173803</td>\n",
       "      <td>7.415808</td>\n",
       "      <td>7.635245</td>\n",
       "      <td>0.836620</td>\n",
       "      <td>1.064360</td>\n",
       "      <td>0.529820</td>\n",
       "      <td>0.679680</td>\n",
       "      <td>0.356360</td>\n",
       "      <td>0.433060</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>Gaia DR2 5884729035255064064</td>\n",
       "      <td>238.678374</td>\n",
       "      <td>0.027616</td>\n",
       "      <td>-54.566442</td>\n",
       "      <td>0.020606</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.400225</td>\n",
       "      <td>0.035101</td>\n",
       "      <td>12.633459</td>\n",
       "      <td>0.000179</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.000</td>\n",
       "      <td>9.630</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.638</td>\n",
       "      <td>6.091</td>\n",
       "      <td>5.864</td>\n",
       "      <td>0.23</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.101522</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>17</td>\n",
       "      <td>0.469535</td>\n",
       "      <td>0.494045</td>\n",
       "      <td>0.446063</td>\n",
       "      <td>0.472597</td>\n",
       "      <td>0.536972</td>\n",
       "      <td>0.409212</td>\n",
       "      <td>-5.605053</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.296421</td>\n",
       "      <td>0.336797</td>\n",
       "      <td>0.256665</td>\n",
       "      <td>-5.864641</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.184253</td>\n",
       "      <td>0.209351</td>\n",
       "      <td>0.159541</td>\n",
       "      <td>-5.914300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.395105</td>\n",
       "      <td>1.611199</td>\n",
       "      <td>1.830668</td>\n",
       "      <td>0.971330</td>\n",
       "      <td>1.235740</td>\n",
       "      <td>0.615130</td>\n",
       "      <td>0.789120</td>\n",
       "      <td>0.413740</td>\n",
       "      <td>0.502790</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>Gaia DR2 5964193485048327808</td>\n",
       "      <td>252.910606</td>\n",
       "      <td>0.041466</td>\n",
       "      <td>-45.426706</td>\n",
       "      <td>0.036751</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.503894</td>\n",
       "      <td>0.044516</td>\n",
       "      <td>28.865095</td>\n",
       "      <td>0.001142</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.690</td>\n",
       "      <td>9.310</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.945</td>\n",
       "      <td>5.229</td>\n",
       "      <td>4.924</td>\n",
       "      <td>0.52</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.460373</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>19</td>\n",
       "      <td>0.583508</td>\n",
       "      <td>0.615197</td>\n",
       "      <td>0.554931</td>\n",
       "      <td>1.793189</td>\n",
       "      <td>1.853594</td>\n",
       "      <td>1.717780</td>\n",
       "      <td>-6.764025</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.124717</td>\n",
       "      <td>1.162604</td>\n",
       "      <td>1.077420</td>\n",
       "      <td>-7.023517</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.699118</td>\n",
       "      <td>0.722668</td>\n",
       "      <td>0.669718</td>\n",
       "      <td>-7.065177</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.856330</td>\n",
       "      <td>6.113416</td>\n",
       "      <td>6.319354</td>\n",
       "      <td>0.978420</td>\n",
       "      <td>1.244760</td>\n",
       "      <td>0.619620</td>\n",
       "      <td>0.794880</td>\n",
       "      <td>0.416760</td>\n",
       "      <td>0.506460</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>Gaia DR2 200708636406382720</td>\n",
       "      <td>75.346625</td>\n",
       "      <td>0.051200</td>\n",
       "      <td>39.960382</td>\n",
       "      <td>0.045017</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.542955</td>\n",
       "      <td>0.051119</td>\n",
       "      <td>11.625703</td>\n",
       "      <td>0.000111</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.490</td>\n",
       "      <td>7.620</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.726</td>\n",
       "      <td>5.357</td>\n",
       "      <td>5.212</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.065419</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>26</td>\n",
       "      <td>0.615680</td>\n",
       "      <td>0.648824</td>\n",
       "      <td>0.584829</td>\n",
       "      <td>0.044450</td>\n",
       "      <td>0.085347</td>\n",
       "      <td>0.015695</td>\n",
       "      <td>-5.488451</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.027880</td>\n",
       "      <td>0.053531</td>\n",
       "      <td>0.009844</td>\n",
       "      <td>-5.748050</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.017330</td>\n",
       "      <td>0.033274</td>\n",
       "      <td>0.006119</td>\n",
       "      <td>-5.798513</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.053508</td>\n",
       "      <td>0.151540</td>\n",
       "      <td>0.290968</td>\n",
       "      <td>0.616830</td>\n",
       "      <td>0.784740</td>\n",
       "      <td>0.390630</td>\n",
       "      <td>0.501120</td>\n",
       "      <td>0.262740</td>\n",
       "      <td>0.319290</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>Gaia DR2 422923956470923008</td>\n",
       "      <td>3.790869</td>\n",
       "      <td>0.023050</td>\n",
       "      <td>58.424281</td>\n",
       "      <td>0.020254</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.398570</td>\n",
       "      <td>0.030092</td>\n",
       "      <td>4.071170</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.690</td>\n",
       "      <td>9.920</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.816</td>\n",
       "      <td>7.449</td>\n",
       "      <td>7.287</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.390281</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>35</td>\n",
       "      <td>0.462331</td>\n",
       "      <td>0.486708</td>\n",
       "      <td>0.440442</td>\n",
       "      <td>0.031367</td>\n",
       "      <td>0.064652</td>\n",
       "      <td>0.010788</td>\n",
       "      <td>-4.016687</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.019674</td>\n",
       "      <td>0.040551</td>\n",
       "      <td>0.006767</td>\n",
       "      <td>-4.276408</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.012229</td>\n",
       "      <td>0.025206</td>\n",
       "      <td>0.004206</td>\n",
       "      <td>-4.337029</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.036780</td>\n",
       "      <td>0.106939</td>\n",
       "      <td>0.220414</td>\n",
       "      <td>0.545930</td>\n",
       "      <td>0.694540</td>\n",
       "      <td>0.345730</td>\n",
       "      <td>0.443520</td>\n",
       "      <td>0.232540</td>\n",
       "      <td>0.282590</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>Gaia DR2 426881614218441600</td>\n",
       "      <td>12.471921</td>\n",
       "      <td>0.019833</td>\n",
       "      <td>60.127379</td>\n",
       "      <td>0.024704</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.403431</td>\n",
       "      <td>0.030089</td>\n",
       "      <td>4.501624</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.000</td>\n",
       "      <td>9.970</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.735</td>\n",
       "      <td>7.336</td>\n",
       "      <td>7.156</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.346631</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>36</td>\n",
       "      <td>0.470539</td>\n",
       "      <td>0.496481</td>\n",
       "      <td>0.446884</td>\n",
       "      <td>0.119425</td>\n",
       "      <td>0.184450</td>\n",
       "      <td>0.064158</td>\n",
       "      <td>-4.157662</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.074906</td>\n",
       "      <td>0.115690</td>\n",
       "      <td>0.040241</td>\n",
       "      <td>-4.417371</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.046561</td>\n",
       "      <td>0.071912</td>\n",
       "      <td>0.025014</td>\n",
       "      <td>-4.477020</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.218731</td>\n",
       "      <td>0.407150</td>\n",
       "      <td>0.628834</td>\n",
       "      <td>0.730270</td>\n",
       "      <td>0.929060</td>\n",
       "      <td>0.462470</td>\n",
       "      <td>0.593280</td>\n",
       "      <td>0.311060</td>\n",
       "      <td>0.378010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>Gaia DR2 458239995077788544</td>\n",
       "      <td>38.630416</td>\n",
       "      <td>0.024730</td>\n",
       "      <td>58.831618</td>\n",
       "      <td>0.028222</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.365570</td>\n",
       "      <td>0.034501</td>\n",
       "      <td>6.579970</td>\n",
       "      <td>0.000090</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.460</td>\n",
       "      <td>11.180</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.079</td>\n",
       "      <td>7.536</td>\n",
       "      <td>7.334</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.181776</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>44</td>\n",
       "      <td>0.437400</td>\n",
       "      <td>0.461727</td>\n",
       "      <td>0.416033</td>\n",
       "      <td>1.133892</td>\n",
       "      <td>1.204004</td>\n",
       "      <td>1.070630</td>\n",
       "      <td>-4.690090</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.711196</td>\n",
       "      <td>0.755171</td>\n",
       "      <td>0.671516</td>\n",
       "      <td>-4.949755</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.442075</td>\n",
       "      <td>0.469410</td>\n",
       "      <td>0.417411</td>\n",
       "      <td>-5.005729</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.650038</td>\n",
       "      <td>3.865714</td>\n",
       "      <td>4.104742</td>\n",
       "      <td>0.907520</td>\n",
       "      <td>1.154560</td>\n",
       "      <td>0.574720</td>\n",
       "      <td>0.737280</td>\n",
       "      <td>0.386560</td>\n",
       "      <td>0.469760</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>Gaia DR2 459035766618689280</td>\n",
       "      <td>36.897761</td>\n",
       "      <td>0.023197</td>\n",
       "      <td>58.917151</td>\n",
       "      <td>0.029511</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.394153</td>\n",
       "      <td>0.035271</td>\n",
       "      <td>5.530696</td>\n",
       "      <td>0.000038</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.480</td>\n",
       "      <td>11.320</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.829</td>\n",
       "      <td>7.247</td>\n",
       "      <td>7.013</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.257220</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>45</td>\n",
       "      <td>0.466565</td>\n",
       "      <td>0.492054</td>\n",
       "      <td>0.443272</td>\n",
       "      <td>0.480644</td>\n",
       "      <td>0.557357</td>\n",
       "      <td>0.413684</td>\n",
       "      <td>-4.446430</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.301468</td>\n",
       "      <td>0.349583</td>\n",
       "      <td>0.259469</td>\n",
       "      <td>-4.706115</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.187391</td>\n",
       "      <td>0.217299</td>\n",
       "      <td>0.161285</td>\n",
       "      <td>-4.763770</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.410348</td>\n",
       "      <td>1.638631</td>\n",
       "      <td>1.900165</td>\n",
       "      <td>0.822440</td>\n",
       "      <td>1.046320</td>\n",
       "      <td>0.520840</td>\n",
       "      <td>0.668160</td>\n",
       "      <td>0.350320</td>\n",
       "      <td>0.425720</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>Gaia DR2 465719182408723072</td>\n",
       "      <td>41.180476</td>\n",
       "      <td>0.023864</td>\n",
       "      <td>61.464699</td>\n",
       "      <td>0.023227</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.306970</td>\n",
       "      <td>0.027987</td>\n",
       "      <td>3.832876</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.800</td>\n",
       "      <td>10.740</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.488</td>\n",
       "      <td>8.036</td>\n",
       "      <td>7.879</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.416475</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>48</td>\n",
       "      <td>0.367456</td>\n",
       "      <td>0.388635</td>\n",
       "      <td>0.349482</td>\n",
       "      <td>0.073920</td>\n",
       "      <td>0.131055</td>\n",
       "      <td>0.024869</td>\n",
       "      <td>-3.932087</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.046364</td>\n",
       "      <td>0.082200</td>\n",
       "      <td>0.015599</td>\n",
       "      <td>-4.191815</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.028819</td>\n",
       "      <td>0.051095</td>\n",
       "      <td>0.009696</td>\n",
       "      <td>-4.253020</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.084786</td>\n",
       "      <td>0.252011</td>\n",
       "      <td>0.446799</td>\n",
       "      <td>0.751540</td>\n",
       "      <td>0.956120</td>\n",
       "      <td>0.475940</td>\n",
       "      <td>0.610560</td>\n",
       "      <td>0.320120</td>\n",
       "      <td>0.389020</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>Gaia DR2 473293889810320128</td>\n",
       "      <td>57.106977</td>\n",
       "      <td>0.024019</td>\n",
       "      <td>59.442268</td>\n",
       "      <td>0.020856</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.715604</td>\n",
       "      <td>0.031478</td>\n",
       "      <td>5.066430</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.990</td>\n",
       "      <td>10.810</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.329</td>\n",
       "      <td>6.740</td>\n",
       "      <td>6.478</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.295298</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>52</td>\n",
       "      <td>0.798847</td>\n",
       "      <td>0.833390</td>\n",
       "      <td>0.765408</td>\n",
       "      <td>1.395493</td>\n",
       "      <td>1.459485</td>\n",
       "      <td>1.325462</td>\n",
       "      <td>-4.323451</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.875276</td>\n",
       "      <td>0.915413</td>\n",
       "      <td>0.831351</td>\n",
       "      <td>-4.583146</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.544066</td>\n",
       "      <td>0.569015</td>\n",
       "      <td>0.516763</td>\n",
       "      <td>-4.641650</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.518822</td>\n",
       "      <td>4.757574</td>\n",
       "      <td>4.975739</td>\n",
       "      <td>0.836620</td>\n",
       "      <td>1.064360</td>\n",
       "      <td>0.529820</td>\n",
       "      <td>0.679680</td>\n",
       "      <td>0.356360</td>\n",
       "      <td>0.433060</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>Gaia DR2 506779550797525760</td>\n",
       "      <td>31.952002</td>\n",
       "      <td>0.021261</td>\n",
       "      <td>58.443534</td>\n",
       "      <td>0.024652</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.329827</td>\n",
       "      <td>0.030806</td>\n",
       "      <td>10.877269</td>\n",
       "      <td>0.000237</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.470</td>\n",
       "      <td>9.370</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.879</td>\n",
       "      <td>6.439</td>\n",
       "      <td>6.240</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.036520</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>57</td>\n",
       "      <td>0.395098</td>\n",
       "      <td>0.417903</td>\n",
       "      <td>0.374327</td>\n",
       "      <td>0.060585</td>\n",
       "      <td>0.113175</td>\n",
       "      <td>0.021994</td>\n",
       "      <td>-5.395116</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.038000</td>\n",
       "      <td>0.070985</td>\n",
       "      <td>0.013795</td>\n",
       "      <td>-5.654722</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.023621</td>\n",
       "      <td>0.044124</td>\n",
       "      <td>0.008575</td>\n",
       "      <td>-5.705830</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.074983</td>\n",
       "      <td>0.206549</td>\n",
       "      <td>0.385842</td>\n",
       "      <td>0.779900</td>\n",
       "      <td>0.992200</td>\n",
       "      <td>0.493900</td>\n",
       "      <td>0.633600</td>\n",
       "      <td>0.332200</td>\n",
       "      <td>0.403700</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>61</th>\n",
       "      <td>Gaia DR2 512524361613040640</td>\n",
       "      <td>23.180099</td>\n",
       "      <td>0.022149</td>\n",
       "      <td>63.593805</td>\n",
       "      <td>0.024824</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>1.296313</td>\n",
       "      <td>0.031333</td>\n",
       "      <td>8.377013</td>\n",
       "      <td>0.000123</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.486</td>\n",
       "      <td>7.176</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.899</td>\n",
       "      <td>4.158</td>\n",
       "      <td>4.059</td>\n",
       "      <td>0.13</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.076911</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>61</td>\n",
       "      <td>1.393960</td>\n",
       "      <td>1.432692</td>\n",
       "      <td>1.355545</td>\n",
       "      <td>0.494560</td>\n",
       "      <td>0.553517</td>\n",
       "      <td>0.430764</td>\n",
       "      <td>-5.028771</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.310196</td>\n",
       "      <td>0.347175</td>\n",
       "      <td>0.270182</td>\n",
       "      <td>-5.288408</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.192816</td>\n",
       "      <td>0.215802</td>\n",
       "      <td>0.167944</td>\n",
       "      <td>-5.342044</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.468578</td>\n",
       "      <td>1.686076</td>\n",
       "      <td>1.887075</td>\n",
       "      <td>0.928790</td>\n",
       "      <td>1.181620</td>\n",
       "      <td>0.588190</td>\n",
       "      <td>0.754560</td>\n",
       "      <td>0.395620</td>\n",
       "      <td>0.480770</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>66</th>\n",
       "      <td>Gaia DR2 525136962570940160</td>\n",
       "      <td>18.754556</td>\n",
       "      <td>0.018490</td>\n",
       "      <td>65.599405</td>\n",
       "      <td>0.021748</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.373860</td>\n",
       "      <td>0.027643</td>\n",
       "      <td>6.272785</td>\n",
       "      <td>0.000061</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.900</td>\n",
       "      <td>10.800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.842</td>\n",
       "      <td>7.275</td>\n",
       "      <td>7.042</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.202540</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>66</td>\n",
       "      <td>0.440472</td>\n",
       "      <td>0.464048</td>\n",
       "      <td>0.419711</td>\n",
       "      <td>0.589189</td>\n",
       "      <td>0.654073</td>\n",
       "      <td>0.521755</td>\n",
       "      <td>-4.623030</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.369549</td>\n",
       "      <td>0.410245</td>\n",
       "      <td>0.327253</td>\n",
       "      <td>-4.882701</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.229709</td>\n",
       "      <td>0.255006</td>\n",
       "      <td>0.203419</td>\n",
       "      <td>-4.939138</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.778790</td>\n",
       "      <td>2.008687</td>\n",
       "      <td>2.229895</td>\n",
       "      <td>0.779900</td>\n",
       "      <td>0.992200</td>\n",
       "      <td>0.493900</td>\n",
       "      <td>0.633600</td>\n",
       "      <td>0.332200</td>\n",
       "      <td>0.403700</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>70</th>\n",
       "      <td>Gaia DR2 1870258975238302208</td>\n",
       "      <td>310.850763</td>\n",
       "      <td>0.019117</td>\n",
       "      <td>35.587777</td>\n",
       "      <td>0.020563</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.898267</td>\n",
       "      <td>0.027008</td>\n",
       "      <td>16.390621</td>\n",
       "      <td>0.000279</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.700</td>\n",
       "      <td>6.470</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.417</td>\n",
       "      <td>3.969</td>\n",
       "      <td>3.815</td>\n",
       "      <td>0.16</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.214595</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>70</td>\n",
       "      <td>0.975377</td>\n",
       "      <td>1.012144</td>\n",
       "      <td>0.941070</td>\n",
       "      <td>0.260952</td>\n",
       "      <td>0.325726</td>\n",
       "      <td>0.195292</td>\n",
       "      <td>-5.970242</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.163673</td>\n",
       "      <td>0.204301</td>\n",
       "      <td>0.122490</td>\n",
       "      <td>-6.229800</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.101738</td>\n",
       "      <td>0.126992</td>\n",
       "      <td>0.076139</td>\n",
       "      <td>-6.276939</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.665799</td>\n",
       "      <td>0.889649</td>\n",
       "      <td>1.110479</td>\n",
       "      <td>0.872070</td>\n",
       "      <td>1.109460</td>\n",
       "      <td>0.552270</td>\n",
       "      <td>0.708480</td>\n",
       "      <td>0.371460</td>\n",
       "      <td>0.451410</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71</th>\n",
       "      <td>Gaia DR2 1873112207907294848</td>\n",
       "      <td>316.069303</td>\n",
       "      <td>0.019890</td>\n",
       "      <td>39.972234</td>\n",
       "      <td>0.023850</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.446392</td>\n",
       "      <td>0.028187</td>\n",
       "      <td>7.855820</td>\n",
       "      <td>0.000033</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.660</td>\n",
       "      <td>9.560</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.999</td>\n",
       "      <td>6.548</td>\n",
       "      <td>6.337</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.104808</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>71</td>\n",
       "      <td>0.513623</td>\n",
       "      <td>0.539517</td>\n",
       "      <td>0.488979</td>\n",
       "      <td>0.446859</td>\n",
       "      <td>0.508305</td>\n",
       "      <td>0.390440</td>\n",
       "      <td>-4.938671</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.280277</td>\n",
       "      <td>0.318817</td>\n",
       "      <td>0.244890</td>\n",
       "      <td>-5.198315</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.174219</td>\n",
       "      <td>0.198175</td>\n",
       "      <td>0.152222</td>\n",
       "      <td>-5.252573</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.331104</td>\n",
       "      <td>1.523451</td>\n",
       "      <td>1.732936</td>\n",
       "      <td>0.779900</td>\n",
       "      <td>0.992200</td>\n",
       "      <td>0.493900</td>\n",
       "      <td>0.633600</td>\n",
       "      <td>0.332200</td>\n",
       "      <td>0.403700</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>72</th>\n",
       "      <td>Gaia DR2 1873250780732545920</td>\n",
       "      <td>314.336780</td>\n",
       "      <td>0.018351</td>\n",
       "      <td>40.177487</td>\n",
       "      <td>0.025157</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.349530</td>\n",
       "      <td>0.027658</td>\n",
       "      <td>20.140340</td>\n",
       "      <td>0.000356</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.600</td>\n",
       "      <td>10.080</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.694</td>\n",
       "      <td>6.078</td>\n",
       "      <td>5.840</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.304067</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>72</td>\n",
       "      <td>0.419978</td>\n",
       "      <td>0.444301</td>\n",
       "      <td>0.399239</td>\n",
       "      <td>1.151564</td>\n",
       "      <td>1.219523</td>\n",
       "      <td>1.089861</td>\n",
       "      <td>-6.259206</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.722280</td>\n",
       "      <td>0.764904</td>\n",
       "      <td>0.683578</td>\n",
       "      <td>-6.518740</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.448965</td>\n",
       "      <td>0.475460</td>\n",
       "      <td>0.424908</td>\n",
       "      <td>-6.563884</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.715601</td>\n",
       "      <td>3.925962</td>\n",
       "      <td>4.157649</td>\n",
       "      <td>1.077680</td>\n",
       "      <td>1.371040</td>\n",
       "      <td>0.682480</td>\n",
       "      <td>0.875520</td>\n",
       "      <td>0.459040</td>\n",
       "      <td>0.557840</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>74</th>\n",
       "      <td>Gaia DR2 1960981328902089088</td>\n",
       "      <td>330.104757</td>\n",
       "      <td>0.022131</td>\n",
       "      <td>43.445353</td>\n",
       "      <td>0.028315</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.509449</td>\n",
       "      <td>0.030578</td>\n",
       "      <td>5.331659</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.330</td>\n",
       "      <td>8.590</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.009</td>\n",
       "      <td>6.649</td>\n",
       "      <td>6.473</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.273138</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>74</td>\n",
       "      <td>0.574356</td>\n",
       "      <td>0.603705</td>\n",
       "      <td>0.549143</td>\n",
       "      <td>0.106468</td>\n",
       "      <td>0.176099</td>\n",
       "      <td>0.045235</td>\n",
       "      <td>-4.395021</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.066779</td>\n",
       "      <td>0.110452</td>\n",
       "      <td>0.028372</td>\n",
       "      <td>-4.654711</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.041509</td>\n",
       "      <td>0.068656</td>\n",
       "      <td>0.017636</td>\n",
       "      <td>-4.712721</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.154216</td>\n",
       "      <td>0.362976</td>\n",
       "      <td>0.600364</td>\n",
       "      <td>0.524660</td>\n",
       "      <td>0.667480</td>\n",
       "      <td>0.332260</td>\n",
       "      <td>0.426240</td>\n",
       "      <td>0.223480</td>\n",
       "      <td>0.271580</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>76</th>\n",
       "      <td>Gaia DR2 1968971582984827136</td>\n",
       "      <td>318.668470</td>\n",
       "      <td>0.019827</td>\n",
       "      <td>41.716337</td>\n",
       "      <td>0.023578</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.895998</td>\n",
       "      <td>0.027305</td>\n",
       "      <td>5.257600</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.120</td>\n",
       "      <td>9.750</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.363</td>\n",
       "      <td>5.806</td>\n",
       "      <td>5.524</td>\n",
       "      <td>0.17</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.279212</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>76</td>\n",
       "      <td>0.975155</td>\n",
       "      <td>1.010250</td>\n",
       "      <td>0.941714</td>\n",
       "      <td>0.653162</td>\n",
       "      <td>0.718567</td>\n",
       "      <td>0.581471</td>\n",
       "      <td>-4.375402</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.409674</td>\n",
       "      <td>0.450697</td>\n",
       "      <td>0.364708</td>\n",
       "      <td>-4.635093</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.254651</td>\n",
       "      <td>0.280151</td>\n",
       "      <td>0.226700</td>\n",
       "      <td>-4.693238</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.982374</td>\n",
       "      <td>2.226789</td>\n",
       "      <td>2.449770</td>\n",
       "      <td>0.971330</td>\n",
       "      <td>1.235740</td>\n",
       "      <td>0.615130</td>\n",
       "      <td>0.789120</td>\n",
       "      <td>0.413740</td>\n",
       "      <td>0.502790</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>81</th>\n",
       "      <td>Gaia DR2 2002637323358768000</td>\n",
       "      <td>343.657058</td>\n",
       "      <td>0.015334</td>\n",
       "      <td>54.265450</td>\n",
       "      <td>0.014770</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>-0.003332</td>\n",
       "      <td>0.020462</td>\n",
       "      <td>11.319164</td>\n",
       "      <td>0.000102</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.234</td>\n",
       "      <td>10.278</td>\n",
       "      <td>9.630</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.053814</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>81</td>\n",
       "      <td>0.112936</td>\n",
       "      <td>0.120030</td>\n",
       "      <td>0.106567</td>\n",
       "      <td>1.941054</td>\n",
       "      <td>2.014685</td>\n",
       "      <td>1.871887</td>\n",
       "      <td>-5.450971</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.217461</td>\n",
       "      <td>1.263643</td>\n",
       "      <td>1.174078</td>\n",
       "      <td>-5.710573</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.756767</td>\n",
       "      <td>0.785474</td>\n",
       "      <td>0.729800</td>\n",
       "      <td>-5.761295</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.381718</td>\n",
       "      <td>6.617525</td>\n",
       "      <td>6.868552</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>86</th>\n",
       "      <td>Gaia DR2 2007201567928631296</td>\n",
       "      <td>340.217243</td>\n",
       "      <td>0.030454</td>\n",
       "      <td>56.829456</td>\n",
       "      <td>0.032796</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.457508</td>\n",
       "      <td>0.038275</td>\n",
       "      <td>10.884385</td>\n",
       "      <td>0.000091</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.710</td>\n",
       "      <td>8.570</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.210</td>\n",
       "      <td>5.804</td>\n",
       "      <td>5.630</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.036804</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>86</td>\n",
       "      <td>0.526494</td>\n",
       "      <td>0.554754</td>\n",
       "      <td>0.500607</td>\n",
       "      <td>0.057695</td>\n",
       "      <td>0.111137</td>\n",
       "      <td>0.019818</td>\n",
       "      <td>-5.396033</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.036187</td>\n",
       "      <td>0.069707</td>\n",
       "      <td>0.012430</td>\n",
       "      <td>-5.655639</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.022494</td>\n",
       "      <td>0.043329</td>\n",
       "      <td>0.007727</td>\n",
       "      <td>-5.706741</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.067564</td>\n",
       "      <td>0.196695</td>\n",
       "      <td>0.378894</td>\n",
       "      <td>0.808260</td>\n",
       "      <td>1.028280</td>\n",
       "      <td>0.511860</td>\n",
       "      <td>0.656640</td>\n",
       "      <td>0.344280</td>\n",
       "      <td>0.418380</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>88</th>\n",
       "      <td>Gaia DR2 2008504454839717120</td>\n",
       "      <td>341.603176</td>\n",
       "      <td>0.026653</td>\n",
       "      <td>59.442188</td>\n",
       "      <td>0.024009</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.679482</td>\n",
       "      <td>0.030348</td>\n",
       "      <td>6.233971</td>\n",
       "      <td>0.000057</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.940</td>\n",
       "      <td>9.640</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.641</td>\n",
       "      <td>6.097</td>\n",
       "      <td>5.873</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.205235</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>88</td>\n",
       "      <td>0.755244</td>\n",
       "      <td>0.786870</td>\n",
       "      <td>0.723961</td>\n",
       "      <td>0.597025</td>\n",
       "      <td>0.658991</td>\n",
       "      <td>0.531833</td>\n",
       "      <td>-4.614324</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.374464</td>\n",
       "      <td>0.413330</td>\n",
       "      <td>0.333574</td>\n",
       "      <td>-4.873996</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.232765</td>\n",
       "      <td>0.256923</td>\n",
       "      <td>0.207348</td>\n",
       "      <td>-4.930492</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.813147</td>\n",
       "      <td>2.035404</td>\n",
       "      <td>2.246660</td>\n",
       "      <td>0.921700</td>\n",
       "      <td>1.172600</td>\n",
       "      <td>0.583700</td>\n",
       "      <td>0.748800</td>\n",
       "      <td>0.392600</td>\n",
       "      <td>0.477100</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>90</th>\n",
       "      <td>Gaia DR2 2010285491880986112</td>\n",
       "      <td>346.791983</td>\n",
       "      <td>0.028497</td>\n",
       "      <td>58.554192</td>\n",
       "      <td>0.023405</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.412512</td>\n",
       "      <td>0.031950</td>\n",
       "      <td>5.440901</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.730</td>\n",
       "      <td>9.740</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.400</td>\n",
       "      <td>6.983</td>\n",
       "      <td>6.801</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.264329</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>90</td>\n",
       "      <td>0.480805</td>\n",
       "      <td>0.507176</td>\n",
       "      <td>0.457459</td>\n",
       "      <td>0.061594</td>\n",
       "      <td>0.116478</td>\n",
       "      <td>0.021511</td>\n",
       "      <td>-4.423470</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.038633</td>\n",
       "      <td>0.073057</td>\n",
       "      <td>0.013492</td>\n",
       "      <td>-4.683157</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.024014</td>\n",
       "      <td>0.045412</td>\n",
       "      <td>0.008387</td>\n",
       "      <td>-4.740971</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.073336</td>\n",
       "      <td>0.209990</td>\n",
       "      <td>0.397101</td>\n",
       "      <td>0.701910</td>\n",
       "      <td>0.892980</td>\n",
       "      <td>0.444510</td>\n",
       "      <td>0.570240</td>\n",
       "      <td>0.298980</td>\n",
       "      <td>0.363330</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>91</th>\n",
       "      <td>Gaia DR2 2011315528113463808</td>\n",
       "      <td>354.701623</td>\n",
       "      <td>0.021128</td>\n",
       "      <td>59.391821</td>\n",
       "      <td>0.020621</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.355163</td>\n",
       "      <td>0.026200</td>\n",
       "      <td>4.997543</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.450</td>\n",
       "      <td>11.080</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.195</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.420</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.301243</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>91</td>\n",
       "      <td>0.422440</td>\n",
       "      <td>0.444791</td>\n",
       "      <td>0.401492</td>\n",
       "      <td>0.529405</td>\n",
       "      <td>0.596230</td>\n",
       "      <td>0.464097</td>\n",
       "      <td>-4.304249</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.332052</td>\n",
       "      <td>0.373965</td>\n",
       "      <td>0.291089</td>\n",
       "      <td>-4.563946</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.206401</td>\n",
       "      <td>0.232454</td>\n",
       "      <td>0.180939</td>\n",
       "      <td>-4.622582</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.582218</td>\n",
       "      <td>1.804872</td>\n",
       "      <td>2.032692</td>\n",
       "      <td>0.971330</td>\n",
       "      <td>1.235740</td>\n",
       "      <td>0.615130</td>\n",
       "      <td>0.789120</td>\n",
       "      <td>0.413740</td>\n",
       "      <td>0.502790</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>95</th>\n",
       "      <td>Gaia DR2 2014609252631258496</td>\n",
       "      <td>342.096176</td>\n",
       "      <td>0.024792</td>\n",
       "      <td>60.404764</td>\n",
       "      <td>0.022076</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.389670</td>\n",
       "      <td>0.027218</td>\n",
       "      <td>4.278626</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.854</td>\n",
       "      <td>8.220</td>\n",
       "      <td>7.977</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.368696</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>95</td>\n",
       "      <td>0.462611</td>\n",
       "      <td>0.486761</td>\n",
       "      <td>0.440881</td>\n",
       "      <td>1.469627</td>\n",
       "      <td>1.533210</td>\n",
       "      <td>1.405214</td>\n",
       "      <td>-4.086400</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.921774</td>\n",
       "      <td>0.961654</td>\n",
       "      <td>0.881373</td>\n",
       "      <td>-4.346115</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.572969</td>\n",
       "      <td>0.597759</td>\n",
       "      <td>0.547856</td>\n",
       "      <td>-4.406255</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.790715</td>\n",
       "      <td>5.010314</td>\n",
       "      <td>5.227084</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>98</th>\n",
       "      <td>Gaia DR2 2015820463470505600</td>\n",
       "      <td>354.316906</td>\n",
       "      <td>0.028332</td>\n",
       "      <td>62.428989</td>\n",
       "      <td>0.029240</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.587692</td>\n",
       "      <td>0.032256</td>\n",
       "      <td>6.296639</td>\n",
       "      <td>0.000047</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.400</td>\n",
       "      <td>10.060</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.769</td>\n",
       "      <td>6.225</td>\n",
       "      <td>5.968</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.200891</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>98</td>\n",
       "      <td>0.663426</td>\n",
       "      <td>0.695730</td>\n",
       "      <td>0.633589</td>\n",
       "      <td>0.353032</td>\n",
       "      <td>0.429754</td>\n",
       "      <td>0.284807</td>\n",
       "      <td>-4.628354</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.221427</td>\n",
       "      <td>0.269549</td>\n",
       "      <td>0.178636</td>\n",
       "      <td>-4.888024</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.137638</td>\n",
       "      <td>0.167550</td>\n",
       "      <td>0.111039</td>\n",
       "      <td>-4.944424</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.970976</td>\n",
       "      <td>1.203571</td>\n",
       "      <td>1.465137</td>\n",
       "      <td>0.950060</td>\n",
       "      <td>1.208680</td>\n",
       "      <td>0.601660</td>\n",
       "      <td>0.771840</td>\n",
       "      <td>0.404680</td>\n",
       "      <td>0.491780</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>99</th>\n",
       "      <td>Gaia DR2 2016028168089215488</td>\n",
       "      <td>356.260926</td>\n",
       "      <td>0.024982</td>\n",
       "      <td>63.003846</td>\n",
       "      <td>0.023602</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.382629</td>\n",
       "      <td>0.030674</td>\n",
       "      <td>7.801123</td>\n",
       "      <td>0.000046</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.620</td>\n",
       "      <td>10.640</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.631</td>\n",
       "      <td>7.090</td>\n",
       "      <td>6.860</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.107843</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>99</td>\n",
       "      <td>0.450376</td>\n",
       "      <td>0.473644</td>\n",
       "      <td>0.428867</td>\n",
       "      <td>0.873626</td>\n",
       "      <td>0.941631</td>\n",
       "      <td>0.802360</td>\n",
       "      <td>-4.928870</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.547952</td>\n",
       "      <td>0.590606</td>\n",
       "      <td>0.503253</td>\n",
       "      <td>-5.188515</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.340604</td>\n",
       "      <td>0.367117</td>\n",
       "      <td>0.312819</td>\n",
       "      <td>-5.242841</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.735441</td>\n",
       "      <td>2.978404</td>\n",
       "      <td>3.210249</td>\n",
       "      <td>0.694820</td>\n",
       "      <td>0.883960</td>\n",
       "      <td>0.440020</td>\n",
       "      <td>0.564480</td>\n",
       "      <td>0.295960</td>\n",
       "      <td>0.359660</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>102</th>\n",
       "      <td>Gaia DR2 2027263738130844288</td>\n",
       "      <td>299.369183</td>\n",
       "      <td>0.025018</td>\n",
       "      <td>26.556450</td>\n",
       "      <td>0.029555</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.840803</td>\n",
       "      <td>0.039363</td>\n",
       "      <td>6.320590</td>\n",
       "      <td>0.000065</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.160</td>\n",
       "      <td>8.870</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.912</td>\n",
       "      <td>5.424</td>\n",
       "      <td>5.194</td>\n",
       "      <td>0.13</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.199242</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>102</td>\n",
       "      <td>0.924965</td>\n",
       "      <td>0.966923</td>\n",
       "      <td>0.885006</td>\n",
       "      <td>0.231020</td>\n",
       "      <td>0.301791</td>\n",
       "      <td>0.168401</td>\n",
       "      <td>-4.633679</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.144899</td>\n",
       "      <td>0.189288</td>\n",
       "      <td>0.105624</td>\n",
       "      <td>-4.893349</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.090069</td>\n",
       "      <td>0.117660</td>\n",
       "      <td>0.065655</td>\n",
       "      <td>-4.949712</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.574119</td>\n",
       "      <td>0.787603</td>\n",
       "      <td>1.028879</td>\n",
       "      <td>0.914610</td>\n",
       "      <td>1.163580</td>\n",
       "      <td>0.579210</td>\n",
       "      <td>0.743040</td>\n",
       "      <td>0.389580</td>\n",
       "      <td>0.473430</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>104</th>\n",
       "      <td>Gaia DR2 2030063919381336832</td>\n",
       "      <td>299.794977</td>\n",
       "      <td>0.021196</td>\n",
       "      <td>29.450724</td>\n",
       "      <td>0.028575</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.400340</td>\n",
       "      <td>0.032269</td>\n",
       "      <td>7.818231</td>\n",
       "      <td>0.000077</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.210</td>\n",
       "      <td>9.940</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.251</td>\n",
       "      <td>6.799</td>\n",
       "      <td>6.577</td>\n",
       "      <td>0.18</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.106891</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>104</td>\n",
       "      <td>0.470361</td>\n",
       "      <td>0.497189</td>\n",
       "      <td>0.446559</td>\n",
       "      <td>0.518864</td>\n",
       "      <td>0.592578</td>\n",
       "      <td>0.455775</td>\n",
       "      <td>-4.931943</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.325440</td>\n",
       "      <td>0.371675</td>\n",
       "      <td>0.285870</td>\n",
       "      <td>-5.191588</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.202292</td>\n",
       "      <td>0.231031</td>\n",
       "      <td>0.177695</td>\n",
       "      <td>-5.245892</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.553849</td>\n",
       "      <td>1.768935</td>\n",
       "      <td>2.020243</td>\n",
       "      <td>0.900430</td>\n",
       "      <td>1.145540</td>\n",
       "      <td>0.570230</td>\n",
       "      <td>0.731520</td>\n",
       "      <td>0.383540</td>\n",
       "      <td>0.466090</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>107</th>\n",
       "      <td>Gaia DR2 2031776202613700480</td>\n",
       "      <td>296.203059</td>\n",
       "      <td>0.041193</td>\n",
       "      <td>29.264679</td>\n",
       "      <td>0.039622</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>1.169542</td>\n",
       "      <td>0.051569</td>\n",
       "      <td>3.845987</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.880</td>\n",
       "      <td>6.440</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.06</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.629</td>\n",
       "      <td>5.390</td>\n",
       "      <td>5.268</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.414992</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>107</td>\n",
       "      <td>1.248824</td>\n",
       "      <td>1.302230</td>\n",
       "      <td>1.201092</td>\n",
       "      <td>0.106266</td>\n",
       "      <td>0.172435</td>\n",
       "      <td>0.047059</td>\n",
       "      <td>-3.936877</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.066652</td>\n",
       "      <td>0.108154</td>\n",
       "      <td>0.029516</td>\n",
       "      <td>-4.196605</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.041430</td>\n",
       "      <td>0.067228</td>\n",
       "      <td>0.018347</td>\n",
       "      <td>-4.257777</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.160436</td>\n",
       "      <td>0.362287</td>\n",
       "      <td>0.587874</td>\n",
       "      <td>0.311960</td>\n",
       "      <td>0.396880</td>\n",
       "      <td>0.197560</td>\n",
       "      <td>0.253440</td>\n",
       "      <td>0.132880</td>\n",
       "      <td>0.161480</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>112</th>\n",
       "      <td>Gaia DR2 2055014277739104896</td>\n",
       "      <td>303.095106</td>\n",
       "      <td>0.025849</td>\n",
       "      <td>32.871600</td>\n",
       "      <td>0.038724</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.697229</td>\n",
       "      <td>0.038827</td>\n",
       "      <td>5.955901</td>\n",
       "      <td>0.000069</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.710</td>\n",
       "      <td>9.450</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.688</td>\n",
       "      <td>6.206</td>\n",
       "      <td>5.984</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.225053</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>112</td>\n",
       "      <td>0.770520</td>\n",
       "      <td>0.805982</td>\n",
       "      <td>0.738530</td>\n",
       "      <td>0.745055</td>\n",
       "      <td>0.798732</td>\n",
       "      <td>0.688312</td>\n",
       "      <td>-4.550321</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.467311</td>\n",
       "      <td>0.500978</td>\n",
       "      <td>0.431720</td>\n",
       "      <td>-4.809997</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.290478</td>\n",
       "      <td>0.311405</td>\n",
       "      <td>0.268355</td>\n",
       "      <td>-4.866936</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.346623</td>\n",
       "      <td>2.540073</td>\n",
       "      <td>2.723072</td>\n",
       "      <td>0.893340</td>\n",
       "      <td>1.136520</td>\n",
       "      <td>0.565740</td>\n",
       "      <td>0.725760</td>\n",
       "      <td>0.380520</td>\n",
       "      <td>0.462420</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>113</th>\n",
       "      <td>Gaia DR2 2055122987639665664</td>\n",
       "      <td>301.336089</td>\n",
       "      <td>0.022954</td>\n",
       "      <td>32.659089</td>\n",
       "      <td>0.028225</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.338865</td>\n",
       "      <td>0.033482</td>\n",
       "      <td>4.950448</td>\n",
       "      <td>0.000031</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.59</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.503</td>\n",
       "      <td>8.918</td>\n",
       "      <td>8.673</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.305356</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>113</td>\n",
       "      <td>0.408865</td>\n",
       "      <td>0.431206</td>\n",
       "      <td>0.388352</td>\n",
       "      <td>2.527096</td>\n",
       "      <td>2.589145</td>\n",
       "      <td>2.444373</td>\n",
       "      <td>-4.290968</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.585036</td>\n",
       "      <td>1.623953</td>\n",
       "      <td>1.533151</td>\n",
       "      <td>-4.550666</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.985249</td>\n",
       "      <td>1.009440</td>\n",
       "      <td>0.952998</td>\n",
       "      <td>-4.609395</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.333463</td>\n",
       "      <td>8.615485</td>\n",
       "      <td>8.827023</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>114</th>\n",
       "      <td>Gaia DR2 2058374144759464064</td>\n",
       "      <td>301.110662</td>\n",
       "      <td>0.026118</td>\n",
       "      <td>34.112250</td>\n",
       "      <td>0.025665</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.380758</td>\n",
       "      <td>0.033244</td>\n",
       "      <td>17.073690</td>\n",
       "      <td>0.000545</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.350</td>\n",
       "      <td>8.350</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.347</td>\n",
       "      <td>5.842</td>\n",
       "      <td>5.647</td>\n",
       "      <td>0.12</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.232327</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>114</td>\n",
       "      <td>0.448808</td>\n",
       "      <td>0.475022</td>\n",
       "      <td>0.425913</td>\n",
       "      <td>0.610341</td>\n",
       "      <td>0.684290</td>\n",
       "      <td>0.536186</td>\n",
       "      <td>-6.027511</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.382816</td>\n",
       "      <td>0.429198</td>\n",
       "      <td>0.336304</td>\n",
       "      <td>-6.287064</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.237956</td>\n",
       "      <td>0.266787</td>\n",
       "      <td>0.209045</td>\n",
       "      <td>-6.333808</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.827988</td>\n",
       "      <td>2.080801</td>\n",
       "      <td>2.332912</td>\n",
       "      <td>0.709000</td>\n",
       "      <td>0.902000</td>\n",
       "      <td>0.449000</td>\n",
       "      <td>0.576000</td>\n",
       "      <td>0.302000</td>\n",
       "      <td>0.367000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>116</th>\n",
       "      <td>Gaia DR2 2060021625508894592</td>\n",
       "      <td>302.282319</td>\n",
       "      <td>0.020166</td>\n",
       "      <td>37.151953</td>\n",
       "      <td>0.026258</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.399355</td>\n",
       "      <td>0.027886</td>\n",
       "      <td>4.364697</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.900</td>\n",
       "      <td>9.870</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.799</td>\n",
       "      <td>7.411</td>\n",
       "      <td>7.247</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.360046</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>116</td>\n",
       "      <td>0.462488</td>\n",
       "      <td>0.487257</td>\n",
       "      <td>0.439854</td>\n",
       "      <td>0.129109</td>\n",
       "      <td>0.189897</td>\n",
       "      <td>0.072848</td>\n",
       "      <td>-4.114336</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.080979</td>\n",
       "      <td>0.119106</td>\n",
       "      <td>0.045692</td>\n",
       "      <td>-4.374049</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.050336</td>\n",
       "      <td>0.074036</td>\n",
       "      <td>0.028402</td>\n",
       "      <td>-4.433996</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.248357</td>\n",
       "      <td>0.440164</td>\n",
       "      <td>0.647404</td>\n",
       "      <td>0.730270</td>\n",
       "      <td>0.929060</td>\n",
       "      <td>0.462470</td>\n",
       "      <td>0.593280</td>\n",
       "      <td>0.311060</td>\n",
       "      <td>0.378010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118</th>\n",
       "      <td>Gaia DR2 2070224337474904064</td>\n",
       "      <td>311.499127</td>\n",
       "      <td>0.023922</td>\n",
       "      <td>45.306935</td>\n",
       "      <td>0.027407</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.447371</td>\n",
       "      <td>0.029270</td>\n",
       "      <td>10.147970</td>\n",
       "      <td>0.000175</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.800</td>\n",
       "      <td>10.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.758</td>\n",
       "      <td>6.147</td>\n",
       "      <td>5.864</td>\n",
       "      <td>0.25</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.006379</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>118</td>\n",
       "      <td>0.520737</td>\n",
       "      <td>0.548386</td>\n",
       "      <td>0.495618</td>\n",
       "      <td>0.428486</td>\n",
       "      <td>0.488751</td>\n",
       "      <td>0.370499</td>\n",
       "      <td>-5.297771</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.268753</td>\n",
       "      <td>0.306553</td>\n",
       "      <td>0.232383</td>\n",
       "      <td>-5.557385</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.167056</td>\n",
       "      <td>0.190552</td>\n",
       "      <td>0.144448</td>\n",
       "      <td>-5.609165</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.263122</td>\n",
       "      <td>1.460813</td>\n",
       "      <td>1.666273</td>\n",
       "      <td>1.134400</td>\n",
       "      <td>1.443200</td>\n",
       "      <td>0.718400</td>\n",
       "      <td>0.921600</td>\n",
       "      <td>0.483200</td>\n",
       "      <td>0.587200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>119</th>\n",
       "      <td>Gaia DR2 2071433765909167232</td>\n",
       "      <td>308.226211</td>\n",
       "      <td>0.021624</td>\n",
       "      <td>46.601250</td>\n",
       "      <td>0.026603</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.361573</td>\n",
       "      <td>0.026156</td>\n",
       "      <td>15.119457</td>\n",
       "      <td>0.000152</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.800</td>\n",
       "      <td>9.370</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.517</td>\n",
       "      <td>5.957</td>\n",
       "      <td>5.709</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.179536</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>119</td>\n",
       "      <td>0.426978</td>\n",
       "      <td>0.450543</td>\n",
       "      <td>0.405867</td>\n",
       "      <td>0.328019</td>\n",
       "      <td>0.399212</td>\n",
       "      <td>0.262075</td>\n",
       "      <td>-5.857012</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.205739</td>\n",
       "      <td>0.250392</td>\n",
       "      <td>0.164377</td>\n",
       "      <td>-6.116580</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.127886</td>\n",
       "      <td>0.155643</td>\n",
       "      <td>0.102176</td>\n",
       "      <td>-6.164500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.893476</td>\n",
       "      <td>1.118298</td>\n",
       "      <td>1.361012</td>\n",
       "      <td>1.013870</td>\n",
       "      <td>1.289860</td>\n",
       "      <td>0.642070</td>\n",
       "      <td>0.823680</td>\n",
       "      <td>0.431860</td>\n",
       "      <td>0.524810</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>122</th>\n",
       "      <td>Gaia DR2 2161786374436607616</td>\n",
       "      <td>315.026581</td>\n",
       "      <td>0.029151</td>\n",
       "      <td>42.597550</td>\n",
       "      <td>0.031458</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.780722</td>\n",
       "      <td>0.036675</td>\n",
       "      <td>14.717966</td>\n",
       "      <td>0.001270</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.300</td>\n",
       "      <td>9.500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.326</td>\n",
       "      <td>4.630</td>\n",
       "      <td>4.307</td>\n",
       "      <td>0.26</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.167848</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>122</td>\n",
       "      <td>0.869005</td>\n",
       "      <td>0.908356</td>\n",
       "      <td>0.833055</td>\n",
       "      <td>0.683797</td>\n",
       "      <td>0.748472</td>\n",
       "      <td>0.623787</td>\n",
       "      <td>-5.819263</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.428889</td>\n",
       "      <td>0.469454</td>\n",
       "      <td>0.391249</td>\n",
       "      <td>-6.078833</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.266595</td>\n",
       "      <td>0.291810</td>\n",
       "      <td>0.243198</td>\n",
       "      <td>-6.127014</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.126640</td>\n",
       "      <td>2.331231</td>\n",
       "      <td>2.551724</td>\n",
       "      <td>1.276200</td>\n",
       "      <td>1.623600</td>\n",
       "      <td>0.808200</td>\n",
       "      <td>1.036800</td>\n",
       "      <td>0.543600</td>\n",
       "      <td>0.660600</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>124</th>\n",
       "      <td>Gaia DR2 2165771172070496512</td>\n",
       "      <td>317.726536</td>\n",
       "      <td>0.023424</td>\n",
       "      <td>49.142042</td>\n",
       "      <td>0.022902</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.386795</td>\n",
       "      <td>0.027892</td>\n",
       "      <td>7.251400</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.760</td>\n",
       "      <td>10.540</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.600</td>\n",
       "      <td>7.071</td>\n",
       "      <td>6.847</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.139578</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>124</td>\n",
       "      <td>0.455212</td>\n",
       "      <td>0.479794</td>\n",
       "      <td>0.433169</td>\n",
       "      <td>0.707363</td>\n",
       "      <td>0.776855</td>\n",
       "      <td>0.641066</td>\n",
       "      <td>-4.826376</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.443670</td>\n",
       "      <td>0.487256</td>\n",
       "      <td>0.402087</td>\n",
       "      <td>-5.086029</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.275783</td>\n",
       "      <td>0.302876</td>\n",
       "      <td>0.249935</td>\n",
       "      <td>-5.141062</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.185551</td>\n",
       "      <td>2.411574</td>\n",
       "      <td>2.648489</td>\n",
       "      <td>0.864980</td>\n",
       "      <td>1.100440</td>\n",
       "      <td>0.547780</td>\n",
       "      <td>0.702720</td>\n",
       "      <td>0.368440</td>\n",
       "      <td>0.447740</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>125</th>\n",
       "      <td>Gaia DR2 2166303099490547072</td>\n",
       "      <td>311.552296</td>\n",
       "      <td>0.020153</td>\n",
       "      <td>45.478606</td>\n",
       "      <td>0.027513</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.528177</td>\n",
       "      <td>0.027448</td>\n",
       "      <td>5.099551</td>\n",
       "      <td>0.000103</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.570</td>\n",
       "      <td>11.840</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.647</td>\n",
       "      <td>7.011</td>\n",
       "      <td>6.702</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.292468</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>125</td>\n",
       "      <td>0.607067</td>\n",
       "      <td>0.636713</td>\n",
       "      <td>0.578982</td>\n",
       "      <td>0.824502</td>\n",
       "      <td>0.888237</td>\n",
       "      <td>0.761678</td>\n",
       "      <td>-4.332590</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.517141</td>\n",
       "      <td>0.557117</td>\n",
       "      <td>0.477737</td>\n",
       "      <td>-4.592285</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.321452</td>\n",
       "      <td>0.346300</td>\n",
       "      <td>0.296958</td>\n",
       "      <td>-4.650726</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.596745</td>\n",
       "      <td>2.810928</td>\n",
       "      <td>3.028215</td>\n",
       "      <td>0.517570</td>\n",
       "      <td>0.658460</td>\n",
       "      <td>0.327770</td>\n",
       "      <td>0.420480</td>\n",
       "      <td>0.220460</td>\n",
       "      <td>0.267910</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>126</th>\n",
       "      <td>Gaia DR2 2166861170366710272</td>\n",
       "      <td>313.739699</td>\n",
       "      <td>0.023199</td>\n",
       "      <td>47.533790</td>\n",
       "      <td>0.023745</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.527686</td>\n",
       "      <td>0.028010</td>\n",
       "      <td>4.049213</td>\n",
       "      <td>0.000014</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.100</td>\n",
       "      <td>10.890</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.229</td>\n",
       "      <td>7.755</td>\n",
       "      <td>7.590</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.392629</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>126</td>\n",
       "      <td>0.603662</td>\n",
       "      <td>0.633641</td>\n",
       "      <td>0.575748</td>\n",
       "      <td>1.527705</td>\n",
       "      <td>1.599086</td>\n",
       "      <td>1.454633</td>\n",
       "      <td>-4.009101</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.958202</td>\n",
       "      <td>1.002972</td>\n",
       "      <td>0.912369</td>\n",
       "      <td>-4.268823</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.595613</td>\n",
       "      <td>0.623442</td>\n",
       "      <td>0.567123</td>\n",
       "      <td>-4.329497</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.959196</td>\n",
       "      <td>5.208319</td>\n",
       "      <td>5.451672</td>\n",
       "      <td>0.857890</td>\n",
       "      <td>1.091420</td>\n",
       "      <td>0.543290</td>\n",
       "      <td>0.696960</td>\n",
       "      <td>0.365420</td>\n",
       "      <td>0.444070</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>130</th>\n",
       "      <td>Gaia DR2 3027940437469882880</td>\n",
       "      <td>110.386898</td>\n",
       "      <td>0.027645</td>\n",
       "      <td>-16.687218</td>\n",
       "      <td>0.029952</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.491694</td>\n",
       "      <td>0.039590</td>\n",
       "      <td>4.256890</td>\n",
       "      <td>0.000016</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.750</td>\n",
       "      <td>9.720</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.533</td>\n",
       "      <td>7.178</td>\n",
       "      <td>6.967</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.370908</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>130</td>\n",
       "      <td>0.561885</td>\n",
       "      <td>0.593274</td>\n",
       "      <td>0.532976</td>\n",
       "      <td>0.356221</td>\n",
       "      <td>0.430315</td>\n",
       "      <td>0.292613</td>\n",
       "      <td>-4.079256</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.223427</td>\n",
       "      <td>0.269901</td>\n",
       "      <td>0.183531</td>\n",
       "      <td>-4.338972</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.138881</td>\n",
       "      <td>0.167769</td>\n",
       "      <td>0.114082</td>\n",
       "      <td>-4.399161</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.997587</td>\n",
       "      <td>1.214443</td>\n",
       "      <td>1.467049</td>\n",
       "      <td>0.730270</td>\n",
       "      <td>0.929060</td>\n",
       "      <td>0.462470</td>\n",
       "      <td>0.593280</td>\n",
       "      <td>0.311060</td>\n",
       "      <td>0.378010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>133</th>\n",
       "      <td>Gaia DR2 3051144427784813824</td>\n",
       "      <td>103.547655</td>\n",
       "      <td>0.025922</td>\n",
       "      <td>-7.664379</td>\n",
       "      <td>0.027486</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>-0.025590</td>\n",
       "      <td>0.037269</td>\n",
       "      <td>3.454034</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.850</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.314</td>\n",
       "      <td>10.802</td>\n",
       "      <td>10.638</td>\n",
       "      <td>-0.49</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.461673</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>133</td>\n",
       "      <td>0.144644</td>\n",
       "      <td>0.153055</td>\n",
       "      <td>0.136719</td>\n",
       "      <td>1.101534</td>\n",
       "      <td>1.171603</td>\n",
       "      <td>1.027918</td>\n",
       "      <td>-3.786111</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.690900</td>\n",
       "      <td>0.734848</td>\n",
       "      <td>0.644727</td>\n",
       "      <td>-4.045852</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.429459</td>\n",
       "      <td>0.456778</td>\n",
       "      <td>0.400758</td>\n",
       "      <td>-4.108065</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.504421</td>\n",
       "      <td>3.755397</td>\n",
       "      <td>3.994279</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>150</th>\n",
       "      <td>Gaia DR2 4204653587029046400</td>\n",
       "      <td>287.086544</td>\n",
       "      <td>0.039491</td>\n",
       "      <td>-7.437768</td>\n",
       "      <td>0.039116</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.943546</td>\n",
       "      <td>0.047614</td>\n",
       "      <td>6.806009</td>\n",
       "      <td>0.000099</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.880</td>\n",
       "      <td>7.790</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.564</td>\n",
       "      <td>5.136</td>\n",
       "      <td>4.966</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.167107</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>150</td>\n",
       "      <td>1.022027</td>\n",
       "      <td>1.068665</td>\n",
       "      <td>0.981561</td>\n",
       "      <td>0.314377</td>\n",
       "      <td>0.381772</td>\n",
       "      <td>0.246676</td>\n",
       "      <td>-4.737465</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.197182</td>\n",
       "      <td>0.239453</td>\n",
       "      <td>0.154719</td>\n",
       "      <td>-4.997126</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.122567</td>\n",
       "      <td>0.148843</td>\n",
       "      <td>0.096173</td>\n",
       "      <td>-5.052773</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.840979</td>\n",
       "      <td>1.071786</td>\n",
       "      <td>1.301552</td>\n",
       "      <td>0.772810</td>\n",
       "      <td>0.983180</td>\n",
       "      <td>0.489410</td>\n",
       "      <td>0.627840</td>\n",
       "      <td>0.329180</td>\n",
       "      <td>0.400030</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>154</th>\n",
       "      <td>Gaia DR2 4269036830424588800</td>\n",
       "      <td>288.197138</td>\n",
       "      <td>0.046751</td>\n",
       "      <td>3.557399</td>\n",
       "      <td>0.044733</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.690107</td>\n",
       "      <td>0.049826</td>\n",
       "      <td>9.480547</td>\n",
       "      <td>0.000140</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.580</td>\n",
       "      <td>7.960</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.940</td>\n",
       "      <td>5.485</td>\n",
       "      <td>5.291</td>\n",
       "      <td>-0.09</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.023167</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>154</td>\n",
       "      <td>0.769155</td>\n",
       "      <td>0.811036</td>\n",
       "      <td>0.734007</td>\n",
       "      <td>0.617768</td>\n",
       "      <td>0.683864</td>\n",
       "      <td>0.555935</td>\n",
       "      <td>-5.202348</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.387474</td>\n",
       "      <td>0.428930</td>\n",
       "      <td>0.348691</td>\n",
       "      <td>-5.461970</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.240852</td>\n",
       "      <td>0.266621</td>\n",
       "      <td>0.216745</td>\n",
       "      <td>-5.514408</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.895318</td>\n",
       "      <td>2.106122</td>\n",
       "      <td>2.331457</td>\n",
       "      <td>1.148580</td>\n",
       "      <td>1.461240</td>\n",
       "      <td>0.727380</td>\n",
       "      <td>0.933120</td>\n",
       "      <td>0.489240</td>\n",
       "      <td>0.594540</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>156</th>\n",
       "      <td>Gaia DR2 4307944836090489600</td>\n",
       "      <td>290.259783</td>\n",
       "      <td>0.047114</td>\n",
       "      <td>8.516328</td>\n",
       "      <td>0.045980</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.553951</td>\n",
       "      <td>0.055081</td>\n",
       "      <td>7.239958</td>\n",
       "      <td>0.000092</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.450</td>\n",
       "      <td>10.090</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.960</td>\n",
       "      <td>6.447</td>\n",
       "      <td>6.206</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.140264</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>156</td>\n",
       "      <td>0.631226</td>\n",
       "      <td>0.667186</td>\n",
       "      <td>0.601874</td>\n",
       "      <td>0.858854</td>\n",
       "      <td>0.920640</td>\n",
       "      <td>0.793753</td>\n",
       "      <td>-4.824161</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.538687</td>\n",
       "      <td>0.577440</td>\n",
       "      <td>0.497854</td>\n",
       "      <td>-5.083814</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.334845</td>\n",
       "      <td>0.358934</td>\n",
       "      <td>0.309463</td>\n",
       "      <td>-5.138863</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.706095</td>\n",
       "      <td>2.928042</td>\n",
       "      <td>3.138686</td>\n",
       "      <td>0.964240</td>\n",
       "      <td>1.226720</td>\n",
       "      <td>0.610640</td>\n",
       "      <td>0.783360</td>\n",
       "      <td>0.410720</td>\n",
       "      <td>0.499120</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>159</th>\n",
       "      <td>Gaia DR2 5235910694044165760</td>\n",
       "      <td>176.136937</td>\n",
       "      <td>0.024629</td>\n",
       "      <td>-67.305250</td>\n",
       "      <td>0.026206</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.680675</td>\n",
       "      <td>0.031565</td>\n",
       "      <td>3.086133</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.690</td>\n",
       "      <td>8.570</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.181</td>\n",
       "      <td>6.809</td>\n",
       "      <td>6.660</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.510585</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>159</td>\n",
       "      <td>0.753804</td>\n",
       "      <td>0.788422</td>\n",
       "      <td>0.720100</td>\n",
       "      <td>0.134898</td>\n",
       "      <td>0.213686</td>\n",
       "      <td>0.067550</td>\n",
       "      <td>-3.628141</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.084610</td>\n",
       "      <td>0.134027</td>\n",
       "      <td>0.042368</td>\n",
       "      <td>-3.887895</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.052593</td>\n",
       "      <td>0.083311</td>\n",
       "      <td>0.026336</td>\n",
       "      <td>-3.951198</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.230294</td>\n",
       "      <td>0.459900</td>\n",
       "      <td>0.728507</td>\n",
       "      <td>0.794080</td>\n",
       "      <td>1.010240</td>\n",
       "      <td>0.502880</td>\n",
       "      <td>0.645120</td>\n",
       "      <td>0.338240</td>\n",
       "      <td>0.411040</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>161</th>\n",
       "      <td>Gaia DR2 5240441472232302848</td>\n",
       "      <td>165.566882</td>\n",
       "      <td>0.023851</td>\n",
       "      <td>-64.262893</td>\n",
       "      <td>0.022019</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.329524</td>\n",
       "      <td>0.026614</td>\n",
       "      <td>12.438020</td>\n",
       "      <td>0.000084</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.690</td>\n",
       "      <td>9.490</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.915</td>\n",
       "      <td>6.419</td>\n",
       "      <td>6.227</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.094751</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>161</td>\n",
       "      <td>0.396196</td>\n",
       "      <td>0.418015</td>\n",
       "      <td>0.375701</td>\n",
       "      <td>0.358767</td>\n",
       "      <td>0.432266</td>\n",
       "      <td>0.296207</td>\n",
       "      <td>-5.583184</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.225024</td>\n",
       "      <td>0.271124</td>\n",
       "      <td>0.185786</td>\n",
       "      <td>-5.842775</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.139874</td>\n",
       "      <td>0.168529</td>\n",
       "      <td>0.115484</td>\n",
       "      <td>-5.892585</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.009842</td>\n",
       "      <td>1.223124</td>\n",
       "      <td>1.473701</td>\n",
       "      <td>0.850800</td>\n",
       "      <td>1.082400</td>\n",
       "      <td>0.538800</td>\n",
       "      <td>0.691200</td>\n",
       "      <td>0.362400</td>\n",
       "      <td>0.440400</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>163</th>\n",
       "      <td>Gaia DR2 5254097093074642944</td>\n",
       "      <td>159.834651</td>\n",
       "      <td>0.022405</td>\n",
       "      <td>-61.152432</td>\n",
       "      <td>0.025081</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.328375</td>\n",
       "      <td>0.029099</td>\n",
       "      <td>9.197827</td>\n",
       "      <td>0.000073</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.100</td>\n",
       "      <td>9.090</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.239</td>\n",
       "      <td>6.814</td>\n",
       "      <td>6.663</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.036315</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>163</td>\n",
       "      <td>0.390990</td>\n",
       "      <td>0.412611</td>\n",
       "      <td>0.371965</td>\n",
       "      <td>0.283762</td>\n",
       "      <td>0.346235</td>\n",
       "      <td>0.224575</td>\n",
       "      <td>-5.159883</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.177980</td>\n",
       "      <td>0.217164</td>\n",
       "      <td>0.140857</td>\n",
       "      <td>-5.419509</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.110631</td>\n",
       "      <td>0.134988</td>\n",
       "      <td>0.087556</td>\n",
       "      <td>-5.472240</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.765630</td>\n",
       "      <td>0.967412</td>\n",
       "      <td>1.180398</td>\n",
       "      <td>0.716090</td>\n",
       "      <td>0.911020</td>\n",
       "      <td>0.453490</td>\n",
       "      <td>0.581760</td>\n",
       "      <td>0.305020</td>\n",
       "      <td>0.370670</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>164</th>\n",
       "      <td>Gaia DR2 5254295559276699392</td>\n",
       "      <td>159.074209</td>\n",
       "      <td>0.023699</td>\n",
       "      <td>-61.012557</td>\n",
       "      <td>0.026637</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.373767</td>\n",
       "      <td>0.027768</td>\n",
       "      <td>5.204555</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.220</td>\n",
       "      <td>9.380</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.646</td>\n",
       "      <td>7.257</td>\n",
       "      <td>7.110</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.283616</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>164</td>\n",
       "      <td>0.437735</td>\n",
       "      <td>0.462268</td>\n",
       "      <td>0.416479</td>\n",
       "      <td>0.082491</td>\n",
       "      <td>0.146150</td>\n",
       "      <td>0.032784</td>\n",
       "      <td>-4.361178</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.051739</td>\n",
       "      <td>0.091667</td>\n",
       "      <td>0.020562</td>\n",
       "      <td>-4.620871</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.032161</td>\n",
       "      <td>0.056980</td>\n",
       "      <td>0.012781</td>\n",
       "      <td>-4.679115</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.111767</td>\n",
       "      <td>0.281231</td>\n",
       "      <td>0.498260</td>\n",
       "      <td>0.595560</td>\n",
       "      <td>0.757680</td>\n",
       "      <td>0.377160</td>\n",
       "      <td>0.483840</td>\n",
       "      <td>0.253680</td>\n",
       "      <td>0.308280</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>166</th>\n",
       "      <td>Gaia DR2 5255066591776722432</td>\n",
       "      <td>155.084832</td>\n",
       "      <td>0.026073</td>\n",
       "      <td>-59.376609</td>\n",
       "      <td>0.025708</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.345360</td>\n",
       "      <td>0.029865</td>\n",
       "      <td>4.154210</td>\n",
       "      <td>0.000045</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.150</td>\n",
       "      <td>10.200</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.126</td>\n",
       "      <td>7.698</td>\n",
       "      <td>7.528</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.381512</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>166</td>\n",
       "      <td>0.409468</td>\n",
       "      <td>0.432289</td>\n",
       "      <td>0.388888</td>\n",
       "      <td>0.065191</td>\n",
       "      <td>0.122401</td>\n",
       "      <td>0.024432</td>\n",
       "      <td>-4.045008</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.040889</td>\n",
       "      <td>0.076772</td>\n",
       "      <td>0.015324</td>\n",
       "      <td>-4.304727</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.025416</td>\n",
       "      <td>0.047721</td>\n",
       "      <td>0.009526</td>\n",
       "      <td>-4.365153</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.083296</td>\n",
       "      <td>0.222253</td>\n",
       "      <td>0.417295</td>\n",
       "      <td>0.673550</td>\n",
       "      <td>0.856900</td>\n",
       "      <td>0.426550</td>\n",
       "      <td>0.547200</td>\n",
       "      <td>0.286900</td>\n",
       "      <td>0.348650</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>168</th>\n",
       "      <td>Gaia DR2 5255254711361371520</td>\n",
       "      <td>157.070132</td>\n",
       "      <td>0.027029</td>\n",
       "      <td>-59.350179</td>\n",
       "      <td>0.027809</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.320416</td>\n",
       "      <td>0.030748</td>\n",
       "      <td>18.177577</td>\n",
       "      <td>0.000468</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.110</td>\n",
       "      <td>8.240</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.432</td>\n",
       "      <td>5.985</td>\n",
       "      <td>5.800</td>\n",
       "      <td>-0.03</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.259536</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>168</td>\n",
       "      <td>0.383491</td>\n",
       "      <td>0.406728</td>\n",
       "      <td>0.363949</td>\n",
       "      <td>0.418632</td>\n",
       "      <td>0.485662</td>\n",
       "      <td>0.355882</td>\n",
       "      <td>-6.115386</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.262573</td>\n",
       "      <td>0.304615</td>\n",
       "      <td>0.223215</td>\n",
       "      <td>-6.374932</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.163214</td>\n",
       "      <td>0.189347</td>\n",
       "      <td>0.138749</td>\n",
       "      <td>-6.421069</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.213288</td>\n",
       "      <td>1.427219</td>\n",
       "      <td>1.655739</td>\n",
       "      <td>0.616830</td>\n",
       "      <td>0.784740</td>\n",
       "      <td>0.390630</td>\n",
       "      <td>0.501120</td>\n",
       "      <td>0.262740</td>\n",
       "      <td>0.319290</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>170</th>\n",
       "      <td>Gaia DR2 5258574068220187648</td>\n",
       "      <td>153.886894</td>\n",
       "      <td>0.025473</td>\n",
       "      <td>-58.174439</td>\n",
       "      <td>0.028100</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.365269</td>\n",
       "      <td>0.032335</td>\n",
       "      <td>4.932552</td>\n",
       "      <td>0.000055</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.770</td>\n",
       "      <td>10.740</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.345</td>\n",
       "      <td>7.848</td>\n",
       "      <td>7.704</td>\n",
       "      <td>0.18</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.306928</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>170</td>\n",
       "      <td>0.428733</td>\n",
       "      <td>0.450279</td>\n",
       "      <td>0.408989</td>\n",
       "      <td>0.937128</td>\n",
       "      <td>0.998522</td>\n",
       "      <td>0.865244</td>\n",
       "      <td>-4.285888</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.587782</td>\n",
       "      <td>0.626289</td>\n",
       "      <td>0.542695</td>\n",
       "      <td>-4.545587</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.365362</td>\n",
       "      <td>0.389298</td>\n",
       "      <td>0.337336</td>\n",
       "      <td>-4.604350</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.949827</td>\n",
       "      <td>3.194897</td>\n",
       "      <td>3.404203</td>\n",
       "      <td>0.730270</td>\n",
       "      <td>0.929060</td>\n",
       "      <td>0.462470</td>\n",
       "      <td>0.593280</td>\n",
       "      <td>0.311060</td>\n",
       "      <td>0.378010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>176</th>\n",
       "      <td>Gaia DR2 5312196047720402048</td>\n",
       "      <td>143.348840</td>\n",
       "      <td>0.023769</td>\n",
       "      <td>-52.755846</td>\n",
       "      <td>0.024010</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.275207</td>\n",
       "      <td>0.026328</td>\n",
       "      <td>6.453800</td>\n",
       "      <td>0.000065</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.509</td>\n",
       "      <td>7.961</td>\n",
       "      <td>7.719</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.190185</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>176</td>\n",
       "      <td>0.341286</td>\n",
       "      <td>0.360883</td>\n",
       "      <td>0.324155</td>\n",
       "      <td>0.857430</td>\n",
       "      <td>0.928686</td>\n",
       "      <td>0.784378</td>\n",
       "      <td>-4.662933</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.537794</td>\n",
       "      <td>0.582487</td>\n",
       "      <td>0.491974</td>\n",
       "      <td>-4.922601</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.334290</td>\n",
       "      <td>0.362070</td>\n",
       "      <td>0.305808</td>\n",
       "      <td>-4.978762</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.674134</td>\n",
       "      <td>2.923187</td>\n",
       "      <td>3.166115</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>177</th>\n",
       "      <td>Gaia DR2 5313887130948758016</td>\n",
       "      <td>142.920692</td>\n",
       "      <td>0.028170</td>\n",
       "      <td>-49.654989</td>\n",
       "      <td>0.029102</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.391059</td>\n",
       "      <td>0.032465</td>\n",
       "      <td>11.200643</td>\n",
       "      <td>0.000133</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.500</td>\n",
       "      <td>9.250</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.583</td>\n",
       "      <td>6.035</td>\n",
       "      <td>5.811</td>\n",
       "      <td>0.13</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.049243</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>177</td>\n",
       "      <td>0.461577</td>\n",
       "      <td>0.486476</td>\n",
       "      <td>0.437738</td>\n",
       "      <td>0.041103</td>\n",
       "      <td>0.084785</td>\n",
       "      <td>0.012978</td>\n",
       "      <td>-5.436207</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.025780</td>\n",
       "      <td>0.053179</td>\n",
       "      <td>0.008140</td>\n",
       "      <td>-5.695810</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.016025</td>\n",
       "      <td>0.033056</td>\n",
       "      <td>0.005060</td>\n",
       "      <td>-5.746634</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.044245</td>\n",
       "      <td>0.140128</td>\n",
       "      <td>0.289054</td>\n",
       "      <td>0.886250</td>\n",
       "      <td>1.127500</td>\n",
       "      <td>0.561250</td>\n",
       "      <td>0.720000</td>\n",
       "      <td>0.377500</td>\n",
       "      <td>0.458750</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>178</th>\n",
       "      <td>Gaia DR2 5324034867356093056</td>\n",
       "      <td>137.065547</td>\n",
       "      <td>0.032432</td>\n",
       "      <td>-51.436255</td>\n",
       "      <td>0.040065</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>1.007410</td>\n",
       "      <td>0.037289</td>\n",
       "      <td>6.924363</td>\n",
       "      <td>0.000048</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.820</td>\n",
       "      <td>7.690</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.410</td>\n",
       "      <td>4.972</td>\n",
       "      <td>4.797</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.159620</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>178</td>\n",
       "      <td>1.084245</td>\n",
       "      <td>1.127147</td>\n",
       "      <td>1.045932</td>\n",
       "      <td>0.284214</td>\n",
       "      <td>0.348847</td>\n",
       "      <td>0.213953</td>\n",
       "      <td>-4.761646</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.178263</td>\n",
       "      <td>0.218802</td>\n",
       "      <td>0.134195</td>\n",
       "      <td>-5.021305</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.110808</td>\n",
       "      <td>0.136006</td>\n",
       "      <td>0.083415</td>\n",
       "      <td>-5.076785</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.729417</td>\n",
       "      <td>0.968954</td>\n",
       "      <td>1.189304</td>\n",
       "      <td>0.801170</td>\n",
       "      <td>1.019260</td>\n",
       "      <td>0.507370</td>\n",
       "      <td>0.650880</td>\n",
       "      <td>0.341260</td>\n",
       "      <td>0.414710</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>181</th>\n",
       "      <td>Gaia DR2 5332375453374624640</td>\n",
       "      <td>178.073783</td>\n",
       "      <td>0.021236</td>\n",
       "      <td>-65.404182</td>\n",
       "      <td>0.021178</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.264245</td>\n",
       "      <td>0.026353</td>\n",
       "      <td>11.637346</td>\n",
       "      <td>0.000043</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.500</td>\n",
       "      <td>9.540</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.469</td>\n",
       "      <td>7.004</td>\n",
       "      <td>6.818</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.065854</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>181</td>\n",
       "      <td>0.326123</td>\n",
       "      <td>0.345013</td>\n",
       "      <td>0.309802</td>\n",
       "      <td>0.473061</td>\n",
       "      <td>0.545073</td>\n",
       "      <td>0.399448</td>\n",
       "      <td>-5.489855</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.296712</td>\n",
       "      <td>0.341879</td>\n",
       "      <td>0.250540</td>\n",
       "      <td>-5.749453</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.184434</td>\n",
       "      <td>0.212510</td>\n",
       "      <td>0.155734</td>\n",
       "      <td>-5.799908</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.361815</td>\n",
       "      <td>1.612780</td>\n",
       "      <td>1.858287</td>\n",
       "      <td>0.680640</td>\n",
       "      <td>0.865920</td>\n",
       "      <td>0.431040</td>\n",
       "      <td>0.552960</td>\n",
       "      <td>0.289920</td>\n",
       "      <td>0.352320</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>185</th>\n",
       "      <td>Gaia DR2 5337191279923824384</td>\n",
       "      <td>168.042125</td>\n",
       "      <td>0.024499</td>\n",
       "      <td>-61.754867</td>\n",
       "      <td>0.024510</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.703772</td>\n",
       "      <td>0.030089</td>\n",
       "      <td>7.532001</td>\n",
       "      <td>0.000137</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.830</td>\n",
       "      <td>7.900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.309</td>\n",
       "      <td>5.924</td>\n",
       "      <td>5.779</td>\n",
       "      <td>0.11</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.123090</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>185</td>\n",
       "      <td>0.777791</td>\n",
       "      <td>0.811919</td>\n",
       "      <td>0.746129</td>\n",
       "      <td>0.862069</td>\n",
       "      <td>0.929228</td>\n",
       "      <td>0.798727</td>\n",
       "      <td>-4.879628</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.540703</td>\n",
       "      <td>0.582827</td>\n",
       "      <td>0.500975</td>\n",
       "      <td>-5.139277</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.336098</td>\n",
       "      <td>0.362282</td>\n",
       "      <td>0.311403</td>\n",
       "      <td>-5.193943</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.723055</td>\n",
       "      <td>2.939001</td>\n",
       "      <td>3.167966</td>\n",
       "      <td>0.659370</td>\n",
       "      <td>0.838860</td>\n",
       "      <td>0.417570</td>\n",
       "      <td>0.535680</td>\n",
       "      <td>0.280860</td>\n",
       "      <td>0.341310</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>188</th>\n",
       "      <td>Gaia DR2 5338024572321721216</td>\n",
       "      <td>164.461080</td>\n",
       "      <td>0.023454</td>\n",
       "      <td>-60.742085</td>\n",
       "      <td>0.022118</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.374159</td>\n",
       "      <td>0.026633</td>\n",
       "      <td>4.266183</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.670</td>\n",
       "      <td>9.890</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.949</td>\n",
       "      <td>7.565</td>\n",
       "      <td>7.430</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.369961</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>188</td>\n",
       "      <td>0.435406</td>\n",
       "      <td>0.459030</td>\n",
       "      <td>0.414773</td>\n",
       "      <td>0.126004</td>\n",
       "      <td>0.190183</td>\n",
       "      <td>0.061424</td>\n",
       "      <td>-4.082314</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.079032</td>\n",
       "      <td>0.119286</td>\n",
       "      <td>0.038526</td>\n",
       "      <td>-4.342030</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.049126</td>\n",
       "      <td>0.074147</td>\n",
       "      <td>0.023948</td>\n",
       "      <td>-4.402199</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.209408</td>\n",
       "      <td>0.429579</td>\n",
       "      <td>0.648379</td>\n",
       "      <td>0.553020</td>\n",
       "      <td>0.703560</td>\n",
       "      <td>0.350220</td>\n",
       "      <td>0.449280</td>\n",
       "      <td>0.235560</td>\n",
       "      <td>0.286260</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>189</th>\n",
       "      <td>Gaia DR2 5338036117182452096</td>\n",
       "      <td>166.056070</td>\n",
       "      <td>0.031146</td>\n",
       "      <td>-60.979914</td>\n",
       "      <td>0.027315</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.424007</td>\n",
       "      <td>0.034523</td>\n",
       "      <td>16.659975</td>\n",
       "      <td>0.000208</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.110</td>\n",
       "      <td>8.670</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.251</td>\n",
       "      <td>5.759</td>\n",
       "      <td>5.572</td>\n",
       "      <td>0.16</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.221674</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>189</td>\n",
       "      <td>0.493318</td>\n",
       "      <td>0.519931</td>\n",
       "      <td>0.468369</td>\n",
       "      <td>0.760359</td>\n",
       "      <td>0.822551</td>\n",
       "      <td>0.700964</td>\n",
       "      <td>-5.993105</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.476909</td>\n",
       "      <td>0.515917</td>\n",
       "      <td>0.439656</td>\n",
       "      <td>-6.252661</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.296444</td>\n",
       "      <td>0.320691</td>\n",
       "      <td>0.273288</td>\n",
       "      <td>-6.299642</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.389757</td>\n",
       "      <td>2.592247</td>\n",
       "      <td>2.804275</td>\n",
       "      <td>1.020960</td>\n",
       "      <td>1.298880</td>\n",
       "      <td>0.646560</td>\n",
       "      <td>0.829440</td>\n",
       "      <td>0.434880</td>\n",
       "      <td>0.528480</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>195</th>\n",
       "      <td>Gaia DR2 5351161399785606016</td>\n",
       "      <td>161.136162</td>\n",
       "      <td>0.033002</td>\n",
       "      <td>-57.565358</td>\n",
       "      <td>0.032410</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.512082</td>\n",
       "      <td>0.041380</td>\n",
       "      <td>18.873022</td>\n",
       "      <td>0.000165</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.700</td>\n",
       "      <td>6.870</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.404</td>\n",
       "      <td>4.958</td>\n",
       "      <td>4.792</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.275841</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>195</td>\n",
       "      <td>0.581267</td>\n",
       "      <td>0.612562</td>\n",
       "      <td>0.553244</td>\n",
       "      <td>0.297976</td>\n",
       "      <td>0.355619</td>\n",
       "      <td>0.231509</td>\n",
       "      <td>-6.168048</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.186895</td>\n",
       "      <td>0.223050</td>\n",
       "      <td>0.145206</td>\n",
       "      <td>-6.427589</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.116173</td>\n",
       "      <td>0.138647</td>\n",
       "      <td>0.090259</td>\n",
       "      <td>-6.473362</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.789271</td>\n",
       "      <td>1.015873</td>\n",
       "      <td>1.212392</td>\n",
       "      <td>0.588470</td>\n",
       "      <td>0.748660</td>\n",
       "      <td>0.372670</td>\n",
       "      <td>0.478080</td>\n",
       "      <td>0.250660</td>\n",
       "      <td>0.304610</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>196</th>\n",
       "      <td>Gaia DR2 5351331755370445056</td>\n",
       "      <td>161.234721</td>\n",
       "      <td>0.027785</td>\n",
       "      <td>-56.289543</td>\n",
       "      <td>0.031423</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.406078</td>\n",
       "      <td>0.037423</td>\n",
       "      <td>14.107121</td>\n",
       "      <td>0.000106</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.730</td>\n",
       "      <td>7.910</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.370</td>\n",
       "      <td>5.944</td>\n",
       "      <td>5.769</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.149438</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>196</td>\n",
       "      <td>0.474321</td>\n",
       "      <td>0.500609</td>\n",
       "      <td>0.449642</td>\n",
       "      <td>0.528275</td>\n",
       "      <td>0.588452</td>\n",
       "      <td>0.471696</td>\n",
       "      <td>-5.759806</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.331343</td>\n",
       "      <td>0.369087</td>\n",
       "      <td>0.295856</td>\n",
       "      <td>-6.019382</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.205961</td>\n",
       "      <td>0.229422</td>\n",
       "      <td>0.183902</td>\n",
       "      <td>-6.067973</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.608127</td>\n",
       "      <td>1.801018</td>\n",
       "      <td>2.006177</td>\n",
       "      <td>0.581380</td>\n",
       "      <td>0.739640</td>\n",
       "      <td>0.368180</td>\n",
       "      <td>0.472320</td>\n",
       "      <td>0.247640</td>\n",
       "      <td>0.300940</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <td>Gaia DR2 5436296928693979392</td>\n",
       "      <td>143.461877</td>\n",
       "      <td>0.017338</td>\n",
       "      <td>-36.615737</td>\n",
       "      <td>0.023757</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.292384</td>\n",
       "      <td>0.028568</td>\n",
       "      <td>5.898395</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.930</td>\n",
       "      <td>9.260</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.914</td>\n",
       "      <td>7.602</td>\n",
       "      <td>7.494</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.229266</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>200</td>\n",
       "      <td>0.351476</td>\n",
       "      <td>0.371848</td>\n",
       "      <td>0.334153</td>\n",
       "      <td>0.184680</td>\n",
       "      <td>0.255007</td>\n",
       "      <td>0.124412</td>\n",
       "      <td>-4.536712</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.115834</td>\n",
       "      <td>0.159944</td>\n",
       "      <td>0.078033</td>\n",
       "      <td>-4.796390</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.072002</td>\n",
       "      <td>0.099421</td>\n",
       "      <td>0.048505</td>\n",
       "      <td>-4.853422</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.424152</td>\n",
       "      <td>0.629619</td>\n",
       "      <td>0.869380</td>\n",
       "      <td>0.475030</td>\n",
       "      <td>0.604340</td>\n",
       "      <td>0.300830</td>\n",
       "      <td>0.385920</td>\n",
       "      <td>0.202340</td>\n",
       "      <td>0.245890</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>202</th>\n",
       "      <td>Gaia DR2 5521459979795304320</td>\n",
       "      <td>129.420069</td>\n",
       "      <td>0.026685</td>\n",
       "      <td>-47.361949</td>\n",
       "      <td>0.032830</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.851743</td>\n",
       "      <td>0.034860</td>\n",
       "      <td>4.639849</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.920</td>\n",
       "      <td>7.680</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.170</td>\n",
       "      <td>5.782</td>\n",
       "      <td>5.632</td>\n",
       "      <td>0.12</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.333496</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>202</td>\n",
       "      <td>0.930964</td>\n",
       "      <td>0.970375</td>\n",
       "      <td>0.894596</td>\n",
       "      <td>0.141207</td>\n",
       "      <td>0.202688</td>\n",
       "      <td>0.085769</td>\n",
       "      <td>-4.200083</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.088568</td>\n",
       "      <td>0.127129</td>\n",
       "      <td>0.053795</td>\n",
       "      <td>-4.459789</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.055053</td>\n",
       "      <td>0.079023</td>\n",
       "      <td>0.033439</td>\n",
       "      <td>-4.519144</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.292406</td>\n",
       "      <td>0.481410</td>\n",
       "      <td>0.691012</td>\n",
       "      <td>0.879160</td>\n",
       "      <td>1.118480</td>\n",
       "      <td>0.556760</td>\n",
       "      <td>0.714240</td>\n",
       "      <td>0.374480</td>\n",
       "      <td>0.455080</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>204</th>\n",
       "      <td>Gaia DR2 5541507237862358912</td>\n",
       "      <td>123.093322</td>\n",
       "      <td>0.024286</td>\n",
       "      <td>-36.943742</td>\n",
       "      <td>0.026381</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.567616</td>\n",
       "      <td>0.029561</td>\n",
       "      <td>6.664229</td>\n",
       "      <td>0.000103</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.830</td>\n",
       "      <td>8.070</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.400</td>\n",
       "      <td>6.054</td>\n",
       "      <td>5.930</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.176250</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>204</td>\n",
       "      <td>0.636929</td>\n",
       "      <td>0.667433</td>\n",
       "      <td>0.608584</td>\n",
       "      <td>0.032938</td>\n",
       "      <td>0.069533</td>\n",
       "      <td>0.010228</td>\n",
       "      <td>-4.707937</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.020659</td>\n",
       "      <td>0.043612</td>\n",
       "      <td>0.006415</td>\n",
       "      <td>-4.967600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.012842</td>\n",
       "      <td>0.027109</td>\n",
       "      <td>0.003988</td>\n",
       "      <td>-5.023451</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.034869</td>\n",
       "      <td>0.112295</td>\n",
       "      <td>0.237056</td>\n",
       "      <td>0.538840</td>\n",
       "      <td>0.685520</td>\n",
       "      <td>0.341240</td>\n",
       "      <td>0.437760</td>\n",
       "      <td>0.229520</td>\n",
       "      <td>0.278920</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>205</th>\n",
       "      <td>Gaia DR2 5546476927338700416</td>\n",
       "      <td>123.267547</td>\n",
       "      <td>0.017912</td>\n",
       "      <td>-34.578513</td>\n",
       "      <td>0.021695</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.584438</td>\n",
       "      <td>0.026037</td>\n",
       "      <td>41.464114</td>\n",
       "      <td>0.000998</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.000</td>\n",
       "      <td>6.700</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.365</td>\n",
       "      <td>3.828</td>\n",
       "      <td>3.619</td>\n",
       "      <td>0.21</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.617672</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>205</td>\n",
       "      <td>0.657682</td>\n",
       "      <td>0.690048</td>\n",
       "      <td>0.628143</td>\n",
       "      <td>0.719817</td>\n",
       "      <td>0.785261</td>\n",
       "      <td>0.647715</td>\n",
       "      <td>-7.272052</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.451481</td>\n",
       "      <td>0.492528</td>\n",
       "      <td>0.406257</td>\n",
       "      <td>-7.531501</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.280638</td>\n",
       "      <td>0.306153</td>\n",
       "      <td>0.252527</td>\n",
       "      <td>-7.569655</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2.208216</td>\n",
       "      <td>2.454031</td>\n",
       "      <td>2.677144</td>\n",
       "      <td>0.921700</td>\n",
       "      <td>1.172600</td>\n",
       "      <td>0.583700</td>\n",
       "      <td>0.748800</td>\n",
       "      <td>0.392600</td>\n",
       "      <td>0.477100</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>211</th>\n",
       "      <td>Gaia DR2 5835124087174043136</td>\n",
       "      <td>244.715952</td>\n",
       "      <td>0.037271</td>\n",
       "      <td>-57.899803</td>\n",
       "      <td>0.022119</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>1.061575</td>\n",
       "      <td>0.042210</td>\n",
       "      <td>9.753759</td>\n",
       "      <td>0.000088</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.490</td>\n",
       "      <td>6.490</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>4.674</td>\n",
       "      <td>4.288</td>\n",
       "      <td>4.149</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.010828</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>211</td>\n",
       "      <td>1.141574</td>\n",
       "      <td>1.187180</td>\n",
       "      <td>1.099482</td>\n",
       "      <td>0.154599</td>\n",
       "      <td>0.219781</td>\n",
       "      <td>0.091863</td>\n",
       "      <td>-5.242197</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.096967</td>\n",
       "      <td>0.137850</td>\n",
       "      <td>0.057618</td>\n",
       "      <td>-5.501816</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.060274</td>\n",
       "      <td>0.085687</td>\n",
       "      <td>0.035815</td>\n",
       "      <td>-5.553979</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.313184</td>\n",
       "      <td>0.527066</td>\n",
       "      <td>0.749287</td>\n",
       "      <td>0.709000</td>\n",
       "      <td>0.902000</td>\n",
       "      <td>0.449000</td>\n",
       "      <td>0.576000</td>\n",
       "      <td>0.302000</td>\n",
       "      <td>0.367000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>216</th>\n",
       "      <td>Gaia DR2 5871738271033526016</td>\n",
       "      <td>207.684489</td>\n",
       "      <td>0.018596</td>\n",
       "      <td>-57.580510</td>\n",
       "      <td>0.022806</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.841311</td>\n",
       "      <td>0.034035</td>\n",
       "      <td>5.078903</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.440</td>\n",
       "      <td>7.690</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.143</td>\n",
       "      <td>5.822</td>\n",
       "      <td>5.703</td>\n",
       "      <td>-0.01</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.294230</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>216</td>\n",
       "      <td>0.912967</td>\n",
       "      <td>0.950804</td>\n",
       "      <td>0.879166</td>\n",
       "      <td>0.356701</td>\n",
       "      <td>0.422522</td>\n",
       "      <td>0.287640</td>\n",
       "      <td>-4.326900</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.223729</td>\n",
       "      <td>0.265013</td>\n",
       "      <td>0.180413</td>\n",
       "      <td>-4.586595</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.139068</td>\n",
       "      <td>0.164730</td>\n",
       "      <td>0.112143</td>\n",
       "      <td>-4.645075</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.980635</td>\n",
       "      <td>1.216080</td>\n",
       "      <td>1.440480</td>\n",
       "      <td>0.531750</td>\n",
       "      <td>0.676500</td>\n",
       "      <td>0.336750</td>\n",
       "      <td>0.432000</td>\n",
       "      <td>0.226500</td>\n",
       "      <td>0.275250</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>217</th>\n",
       "      <td>Gaia DR2 5871922507947292032</td>\n",
       "      <td>205.077654</td>\n",
       "      <td>0.021883</td>\n",
       "      <td>-57.613184</td>\n",
       "      <td>0.030793</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.537343</td>\n",
       "      <td>0.042194</td>\n",
       "      <td>10.949466</td>\n",
       "      <td>0.000106</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.720</td>\n",
       "      <td>7.300</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.937</td>\n",
       "      <td>5.544</td>\n",
       "      <td>5.396</td>\n",
       "      <td>0.12</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.039393</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>217</td>\n",
       "      <td>0.604262</td>\n",
       "      <td>0.636561</td>\n",
       "      <td>0.575353</td>\n",
       "      <td>0.161416</td>\n",
       "      <td>0.225866</td>\n",
       "      <td>0.095897</td>\n",
       "      <td>-5.404395</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.101243</td>\n",
       "      <td>0.141667</td>\n",
       "      <td>0.060148</td>\n",
       "      <td>-5.664000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.062932</td>\n",
       "      <td>0.088059</td>\n",
       "      <td>0.037388</td>\n",
       "      <td>-5.715044</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.326935</td>\n",
       "      <td>0.550306</td>\n",
       "      <td>0.770031</td>\n",
       "      <td>1.006780</td>\n",
       "      <td>1.280840</td>\n",
       "      <td>0.637580</td>\n",
       "      <td>0.817920</td>\n",
       "      <td>0.428840</td>\n",
       "      <td>0.521140</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>220</th>\n",
       "      <td>Gaia DR2 5891675303053080704</td>\n",
       "      <td>218.137795</td>\n",
       "      <td>0.027222</td>\n",
       "      <td>-56.887745</td>\n",
       "      <td>0.033763</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>1.339657</td>\n",
       "      <td>0.044743</td>\n",
       "      <td>5.494570</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>NaN</td>\n",
       "      <td>7.840</td>\n",
       "      <td>6.930</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.019</td>\n",
       "      <td>4.642</td>\n",
       "      <td>4.498</td>\n",
       "      <td>0.12</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.260066</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>220</td>\n",
       "      <td>1.428501</td>\n",
       "      <td>1.480524</td>\n",
       "      <td>1.378763</td>\n",
       "      <td>0.222515</td>\n",
       "      <td>0.285426</td>\n",
       "      <td>0.164175</td>\n",
       "      <td>-4.437238</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.139565</td>\n",
       "      <td>0.179024</td>\n",
       "      <td>0.102973</td>\n",
       "      <td>-4.696924</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.086753</td>\n",
       "      <td>0.111280</td>\n",
       "      <td>0.064008</td>\n",
       "      <td>-4.754642</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.559714</td>\n",
       "      <td>0.758609</td>\n",
       "      <td>0.973085</td>\n",
       "      <td>0.645190</td>\n",
       "      <td>0.820820</td>\n",
       "      <td>0.408590</td>\n",
       "      <td>0.524160</td>\n",
       "      <td>0.274820</td>\n",
       "      <td>0.333970</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>221</th>\n",
       "      <td>Gaia DR2 6026412893938675712</td>\n",
       "      <td>254.582293</td>\n",
       "      <td>0.048524</td>\n",
       "      <td>-33.609129</td>\n",
       "      <td>0.033172</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>1.130588</td>\n",
       "      <td>0.055226</td>\n",
       "      <td>14.597656</td>\n",
       "      <td>0.000085</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.188</td>\n",
       "      <td>7.167</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.081</td>\n",
       "      <td>4.694</td>\n",
       "      <td>4.543</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.164283</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>221</td>\n",
       "      <td>1.218626</td>\n",
       "      <td>1.272960</td>\n",
       "      <td>1.166755</td>\n",
       "      <td>2.005903</td>\n",
       "      <td>2.074985</td>\n",
       "      <td>1.927338</td>\n",
       "      <td>-5.807750</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.258135</td>\n",
       "      <td>1.301464</td>\n",
       "      <td>1.208858</td>\n",
       "      <td>-6.067321</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.782049</td>\n",
       "      <td>0.808983</td>\n",
       "      <td>0.751419</td>\n",
       "      <td>-6.115582</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.570765</td>\n",
       "      <td>6.838610</td>\n",
       "      <td>7.074129</td>\n",
       "      <td>0.723889</td>\n",
       "      <td>0.920942</td>\n",
       "      <td>0.458429</td>\n",
       "      <td>0.588096</td>\n",
       "      <td>0.308342</td>\n",
       "      <td>0.374707</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>222</th>\n",
       "      <td>Gaia DR2 6053622679932061056</td>\n",
       "      <td>188.327748</td>\n",
       "      <td>0.034200</td>\n",
       "      <td>-63.506370</td>\n",
       "      <td>0.031274</td>\n",
       "      <td>FUNDAMENTAL</td>\n",
       "      <td>0.783238</td>\n",
       "      <td>0.044713</td>\n",
       "      <td>5.265672</td>\n",
       "      <td>0.000025</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11.100</td>\n",
       "      <td>9.870</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>6.805</td>\n",
       "      <td>6.261</td>\n",
       "      <td>6.051</td>\n",
       "      <td>0.16</td>\n",
       "      <td>0.10</td>\n",
       "      <td>-0.278546</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.01</td>\n",
       "      <td>222</td>\n",
       "      <td>0.875308</td>\n",
       "      <td>0.918542</td>\n",
       "      <td>0.836695</td>\n",
       "      <td>1.042800</td>\n",
       "      <td>1.111774</td>\n",
       "      <td>0.980591</td>\n",
       "      <td>-4.377553</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.654061</td>\n",
       "      <td>0.697323</td>\n",
       "      <td>0.615043</td>\n",
       "      <td>-4.637245</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.406561</td>\n",
       "      <td>0.433452</td>\n",
       "      <td>0.382307</td>\n",
       "      <td>-4.695375</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3.343074</td>\n",
       "      <td>3.555158</td>\n",
       "      <td>3.790308</td>\n",
       "      <td>0.872070</td>\n",
       "      <td>1.109460</td>\n",
       "      <td>0.552270</td>\n",
       "      <td>0.708480</td>\n",
       "      <td>0.371460</td>\n",
       "      <td>0.451410</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                          ID_Gaia          ra  ra_error        dec  dec_error  \\\n",
       "5    Gaia DR2 4096979650282842112  276.185419  0.049278 -16.797174   0.045807   \n",
       "17   Gaia DR2 5884729035255064064  238.678374  0.027616 -54.566442   0.020606   \n",
       "19   Gaia DR2 5964193485048327808  252.910606  0.041466 -45.426706   0.036751   \n",
       "26    Gaia DR2 200708636406382720   75.346625  0.051200  39.960382   0.045017   \n",
       "35    Gaia DR2 422923956470923008    3.790869  0.023050  58.424281   0.020254   \n",
       "36    Gaia DR2 426881614218441600   12.471921  0.019833  60.127379   0.024704   \n",
       "44    Gaia DR2 458239995077788544   38.630416  0.024730  58.831618   0.028222   \n",
       "45    Gaia DR2 459035766618689280   36.897761  0.023197  58.917151   0.029511   \n",
       "48    Gaia DR2 465719182408723072   41.180476  0.023864  61.464699   0.023227   \n",
       "52    Gaia DR2 473293889810320128   57.106977  0.024019  59.442268   0.020856   \n",
       "57    Gaia DR2 506779550797525760   31.952002  0.021261  58.443534   0.024652   \n",
       "61    Gaia DR2 512524361613040640   23.180099  0.022149  63.593805   0.024824   \n",
       "66    Gaia DR2 525136962570940160   18.754556  0.018490  65.599405   0.021748   \n",
       "70   Gaia DR2 1870258975238302208  310.850763  0.019117  35.587777   0.020563   \n",
       "71   Gaia DR2 1873112207907294848  316.069303  0.019890  39.972234   0.023850   \n",
       "72   Gaia DR2 1873250780732545920  314.336780  0.018351  40.177487   0.025157   \n",
       "74   Gaia DR2 1960981328902089088  330.104757  0.022131  43.445353   0.028315   \n",
       "76   Gaia DR2 1968971582984827136  318.668470  0.019827  41.716337   0.023578   \n",
       "81   Gaia DR2 2002637323358768000  343.657058  0.015334  54.265450   0.014770   \n",
       "86   Gaia DR2 2007201567928631296  340.217243  0.030454  56.829456   0.032796   \n",
       "88   Gaia DR2 2008504454839717120  341.603176  0.026653  59.442188   0.024009   \n",
       "90   Gaia DR2 2010285491880986112  346.791983  0.028497  58.554192   0.023405   \n",
       "91   Gaia DR2 2011315528113463808  354.701623  0.021128  59.391821   0.020621   \n",
       "95   Gaia DR2 2014609252631258496  342.096176  0.024792  60.404764   0.022076   \n",
       "98   Gaia DR2 2015820463470505600  354.316906  0.028332  62.428989   0.029240   \n",
       "99   Gaia DR2 2016028168089215488  356.260926  0.024982  63.003846   0.023602   \n",
       "102  Gaia DR2 2027263738130844288  299.369183  0.025018  26.556450   0.029555   \n",
       "104  Gaia DR2 2030063919381336832  299.794977  0.021196  29.450724   0.028575   \n",
       "107  Gaia DR2 2031776202613700480  296.203059  0.041193  29.264679   0.039622   \n",
       "112  Gaia DR2 2055014277739104896  303.095106  0.025849  32.871600   0.038724   \n",
       "113  Gaia DR2 2055122987639665664  301.336089  0.022954  32.659089   0.028225   \n",
       "114  Gaia DR2 2058374144759464064  301.110662  0.026118  34.112250   0.025665   \n",
       "116  Gaia DR2 2060021625508894592  302.282319  0.020166  37.151953   0.026258   \n",
       "118  Gaia DR2 2070224337474904064  311.499127  0.023922  45.306935   0.027407   \n",
       "119  Gaia DR2 2071433765909167232  308.226211  0.021624  46.601250   0.026603   \n",
       "122  Gaia DR2 2161786374436607616  315.026581  0.029151  42.597550   0.031458   \n",
       "124  Gaia DR2 2165771172070496512  317.726536  0.023424  49.142042   0.022902   \n",
       "125  Gaia DR2 2166303099490547072  311.552296  0.020153  45.478606   0.027513   \n",
       "126  Gaia DR2 2166861170366710272  313.739699  0.023199  47.533790   0.023745   \n",
       "130  Gaia DR2 3027940437469882880  110.386898  0.027645 -16.687218   0.029952   \n",
       "133  Gaia DR2 3051144427784813824  103.547655  0.025922  -7.664379   0.027486   \n",
       "150  Gaia DR2 4204653587029046400  287.086544  0.039491  -7.437768   0.039116   \n",
       "154  Gaia DR2 4269036830424588800  288.197138  0.046751   3.557399   0.044733   \n",
       "156  Gaia DR2 4307944836090489600  290.259783  0.047114   8.516328   0.045980   \n",
       "159  Gaia DR2 5235910694044165760  176.136937  0.024629 -67.305250   0.026206   \n",
       "161  Gaia DR2 5240441472232302848  165.566882  0.023851 -64.262893   0.022019   \n",
       "163  Gaia DR2 5254097093074642944  159.834651  0.022405 -61.152432   0.025081   \n",
       "164  Gaia DR2 5254295559276699392  159.074209  0.023699 -61.012557   0.026637   \n",
       "166  Gaia DR2 5255066591776722432  155.084832  0.026073 -59.376609   0.025708   \n",
       "168  Gaia DR2 5255254711361371520  157.070132  0.027029 -59.350179   0.027809   \n",
       "170  Gaia DR2 5258574068220187648  153.886894  0.025473 -58.174439   0.028100   \n",
       "176  Gaia DR2 5312196047720402048  143.348840  0.023769 -52.755846   0.024010   \n",
       "177  Gaia DR2 5313887130948758016  142.920692  0.028170 -49.654989   0.029102   \n",
       "178  Gaia DR2 5324034867356093056  137.065547  0.032432 -51.436255   0.040065   \n",
       "181  Gaia DR2 5332375453374624640  178.073783  0.021236 -65.404182   0.021178   \n",
       "185  Gaia DR2 5337191279923824384  168.042125  0.024499 -61.754867   0.024510   \n",
       "188  Gaia DR2 5338024572321721216  164.461080  0.023454 -60.742085   0.022118   \n",
       "189  Gaia DR2 5338036117182452096  166.056070  0.031146 -60.979914   0.027315   \n",
       "195  Gaia DR2 5351161399785606016  161.136162  0.033002 -57.565358   0.032410   \n",
       "196  Gaia DR2 5351331755370445056  161.234721  0.027785 -56.289543   0.031423   \n",
       "200  Gaia DR2 5436296928693979392  143.461877  0.017338 -36.615737   0.023757   \n",
       "202  Gaia DR2 5521459979795304320  129.420069  0.026685 -47.361949   0.032830   \n",
       "204  Gaia DR2 5541507237862358912  123.093322  0.024286 -36.943742   0.026381   \n",
       "205  Gaia DR2 5546476927338700416  123.267547  0.017912 -34.578513   0.021695   \n",
       "211  Gaia DR2 5835124087174043136  244.715952  0.037271 -57.899803   0.022119   \n",
       "216  Gaia DR2 5871738271033526016  207.684489  0.018596 -57.580510   0.022806   \n",
       "217  Gaia DR2 5871922507947292032  205.077654  0.021883 -57.613184   0.030793   \n",
       "220  Gaia DR2 5891675303053080704  218.137795  0.027222 -56.887745   0.033763   \n",
       "221  Gaia DR2 6026412893938675712  254.582293  0.048524 -33.609129   0.033172   \n",
       "222  Gaia DR2 6053622679932061056  188.327748  0.034200 -63.506370   0.031274   \n",
       "\n",
       "        var_type  omega_exp  omega_sigma      P_exp   P_sigma  m_exp_U  \\\n",
       "5    FUNDAMENTAL   0.702227     0.058590  12.729174  0.000179      NaN   \n",
       "17   FUNDAMENTAL   0.400225     0.035101  12.633459  0.000179      NaN   \n",
       "19   FUNDAMENTAL   0.503894     0.044516  28.865095  0.001142      NaN   \n",
       "26   FUNDAMENTAL   0.542955     0.051119  11.625703  0.000111      NaN   \n",
       "35   FUNDAMENTAL   0.398570     0.030092   4.071170  0.000003      NaN   \n",
       "36   FUNDAMENTAL   0.403431     0.030089   4.501624  0.000012      NaN   \n",
       "44   FUNDAMENTAL   0.365570     0.034501   6.579970  0.000090      NaN   \n",
       "45   FUNDAMENTAL   0.394153     0.035271   5.530696  0.000038      NaN   \n",
       "48   FUNDAMENTAL   0.306970     0.027987   3.832876  0.000009      NaN   \n",
       "52   FUNDAMENTAL   0.715604     0.031478   5.066430  0.000017      NaN   \n",
       "57   FUNDAMENTAL   0.329827     0.030806  10.877269  0.000237      NaN   \n",
       "61   FUNDAMENTAL   1.296313     0.031333   8.377013  0.000123      NaN   \n",
       "66   FUNDAMENTAL   0.373860     0.027643   6.272785  0.000061      NaN   \n",
       "70   FUNDAMENTAL   0.898267     0.027008  16.390621  0.000279      NaN   \n",
       "71   FUNDAMENTAL   0.446392     0.028187   7.855820  0.000033      NaN   \n",
       "72   FUNDAMENTAL   0.349530     0.027658  20.140340  0.000356      NaN   \n",
       "74   FUNDAMENTAL   0.509449     0.030578   5.331659  0.000007      NaN   \n",
       "76   FUNDAMENTAL   0.895998     0.027305   5.257600  0.000022      NaN   \n",
       "81   FUNDAMENTAL  -0.003332     0.020462  11.319164  0.000102      NaN   \n",
       "86   FUNDAMENTAL   0.457508     0.038275  10.884385  0.000091      NaN   \n",
       "88   FUNDAMENTAL   0.679482     0.030348   6.233971  0.000057      NaN   \n",
       "90   FUNDAMENTAL   0.412512     0.031950   5.440901  0.000014      NaN   \n",
       "91   FUNDAMENTAL   0.355163     0.026200   4.997543  0.000018      NaN   \n",
       "95   FUNDAMENTAL   0.389670     0.027218   4.278626  0.000021      NaN   \n",
       "98   FUNDAMENTAL   0.587692     0.032256   6.296639  0.000047      NaN   \n",
       "99   FUNDAMENTAL   0.382629     0.030674   7.801123  0.000046      NaN   \n",
       "102  FUNDAMENTAL   0.840803     0.039363   6.320590  0.000065      NaN   \n",
       "104  FUNDAMENTAL   0.400340     0.032269   7.818231  0.000077      NaN   \n",
       "107  FUNDAMENTAL   1.169542     0.051569   3.845987  0.000017      NaN   \n",
       "112  FUNDAMENTAL   0.697229     0.038827   5.955901  0.000069      NaN   \n",
       "113  FUNDAMENTAL   0.338865     0.033482   4.950448  0.000031      NaN   \n",
       "114  FUNDAMENTAL   0.380758     0.033244  17.073690  0.000545      NaN   \n",
       "116  FUNDAMENTAL   0.399355     0.027886   4.364697  0.000013      NaN   \n",
       "118  FUNDAMENTAL   0.447371     0.029270  10.147970  0.000175      NaN   \n",
       "119  FUNDAMENTAL   0.361573     0.026156  15.119457  0.000152      NaN   \n",
       "122  FUNDAMENTAL   0.780722     0.036675  14.717966  0.001270      NaN   \n",
       "124  FUNDAMENTAL   0.386795     0.027892   7.251400  0.000022      NaN   \n",
       "125  FUNDAMENTAL   0.528177     0.027448   5.099551  0.000103      NaN   \n",
       "126  FUNDAMENTAL   0.527686     0.028010   4.049213  0.000014      NaN   \n",
       "130  FUNDAMENTAL   0.491694     0.039590   4.256890  0.000016      NaN   \n",
       "133  FUNDAMENTAL  -0.025590     0.037269   3.454034  0.000012      NaN   \n",
       "150  FUNDAMENTAL   0.943546     0.047614   6.806009  0.000099      NaN   \n",
       "154  FUNDAMENTAL   0.690107     0.049826   9.480547  0.000140      NaN   \n",
       "156  FUNDAMENTAL   0.553951     0.055081   7.239958  0.000092      NaN   \n",
       "159  FUNDAMENTAL   0.680675     0.031565   3.086133  0.000007      NaN   \n",
       "161  FUNDAMENTAL   0.329524     0.026614  12.438020  0.000084      NaN   \n",
       "163  FUNDAMENTAL   0.328375     0.029099   9.197827  0.000073      NaN   \n",
       "164  FUNDAMENTAL   0.373767     0.027768   5.204555  0.000007      NaN   \n",
       "166  FUNDAMENTAL   0.345360     0.029865   4.154210  0.000045      NaN   \n",
       "168  FUNDAMENTAL   0.320416     0.030748  18.177577  0.000468      NaN   \n",
       "170  FUNDAMENTAL   0.365269     0.032335   4.932552  0.000055      NaN   \n",
       "176  FUNDAMENTAL   0.275207     0.026328   6.453800  0.000065      NaN   \n",
       "177  FUNDAMENTAL   0.391059     0.032465  11.200643  0.000133      NaN   \n",
       "178  FUNDAMENTAL   1.007410     0.037289   6.924363  0.000048      NaN   \n",
       "181  FUNDAMENTAL   0.264245     0.026353  11.637346  0.000043      NaN   \n",
       "185  FUNDAMENTAL   0.703772     0.030089   7.532001  0.000137      NaN   \n",
       "188  FUNDAMENTAL   0.374159     0.026633   4.266183  0.000008      NaN   \n",
       "189  FUNDAMENTAL   0.424007     0.034523  16.659975  0.000208      NaN   \n",
       "195  FUNDAMENTAL   0.512082     0.041380  18.873022  0.000165      NaN   \n",
       "196  FUNDAMENTAL   0.406078     0.037423  14.107121  0.000106      NaN   \n",
       "200  FUNDAMENTAL   0.292384     0.028568   5.898395  0.000017      NaN   \n",
       "202  FUNDAMENTAL   0.851743     0.034860   4.639849  0.000018      NaN   \n",
       "204  FUNDAMENTAL   0.567616     0.029561   6.664229  0.000103      NaN   \n",
       "205  FUNDAMENTAL   0.584438     0.026037  41.464114  0.000998      NaN   \n",
       "211  FUNDAMENTAL   1.061575     0.042210   9.753759  0.000088      NaN   \n",
       "216  FUNDAMENTAL   0.841311     0.034035   5.078903  0.000008      NaN   \n",
       "217  FUNDAMENTAL   0.537343     0.042194  10.949466  0.000106      NaN   \n",
       "220  FUNDAMENTAL   1.339657     0.044743   5.494570  0.000023      NaN   \n",
       "221  FUNDAMENTAL   1.130588     0.055226  14.597656  0.000085      NaN   \n",
       "222  FUNDAMENTAL   0.783238     0.044713   5.265672  0.000025      NaN   \n",
       "\n",
       "     m_exp_B  m_exp_V  m_exp_g  m_exp_R  m_exp_rxa  m_exp_I  m_exp_Z  m_exp_J  \\\n",
       "5      9.590    8.410      NaN      NaN        NaN      NaN      NaN    6.436   \n",
       "17    11.000    9.630      NaN      NaN        NaN      NaN      NaN    6.638   \n",
       "19    10.690    9.310      NaN      NaN        NaN      NaN      NaN    5.945   \n",
       "26     8.490    7.620      NaN      NaN        NaN      NaN      NaN    5.726   \n",
       "35    10.690    9.920      NaN      NaN        NaN      NaN      NaN    7.816   \n",
       "36    11.000    9.970      NaN      NaN        NaN      NaN      NaN    7.735   \n",
       "44    12.460   11.180      NaN      NaN        NaN      NaN      NaN    8.079   \n",
       "45    12.480   11.320      NaN      NaN        NaN      NaN      NaN    7.829   \n",
       "48    11.800   10.740      NaN      NaN        NaN      NaN      NaN    8.488   \n",
       "52    11.990   10.810      NaN      NaN        NaN      NaN      NaN    7.329   \n",
       "57    10.470    9.370      NaN      NaN        NaN      NaN      NaN    6.879   \n",
       "61     8.486    7.176      NaN      NaN        NaN      NaN      NaN    4.899   \n",
       "66    11.900   10.800      NaN      NaN        NaN      NaN      NaN    7.842   \n",
       "70     7.700    6.470      NaN      NaN        NaN      NaN      NaN    4.417   \n",
       "71    10.660    9.560      NaN      NaN        NaN      NaN      NaN    6.999   \n",
       "72    11.600   10.080      NaN      NaN        NaN      NaN      NaN    6.694   \n",
       "74     9.330    8.590      NaN      NaN        NaN      NaN      NaN    7.009   \n",
       "76    11.120    9.750      NaN      NaN        NaN      NaN      NaN    6.363   \n",
       "81       NaN      NaN      NaN      NaN        NaN      NaN      NaN   11.234   \n",
       "86     9.710    8.570      NaN      NaN        NaN      NaN      NaN    6.210   \n",
       "88    10.940    9.640      NaN      NaN        NaN      NaN      NaN    6.641   \n",
       "90    10.730    9.740      NaN      NaN        NaN      NaN      NaN    7.400   \n",
       "91    12.450   11.080      NaN      NaN        NaN      NaN      NaN    8.195   \n",
       "95    12.300      NaN      NaN      NaN        NaN      NaN      NaN    8.854   \n",
       "98    11.400   10.060      NaN      NaN        NaN      NaN      NaN    6.769   \n",
       "99    11.620   10.640      NaN      NaN        NaN      NaN      NaN    7.631   \n",
       "102   10.160    8.870      NaN      NaN        NaN      NaN      NaN    5.912   \n",
       "104   11.210    9.940      NaN      NaN        NaN      NaN      NaN    7.251   \n",
       "107    6.880    6.440      NaN     6.06        NaN      NaN      NaN    5.629   \n",
       "112   10.710    9.450      NaN      NaN        NaN      NaN      NaN    6.688   \n",
       "113      NaN      NaN      NaN    12.59        NaN      NaN      NaN    9.503   \n",
       "114    9.350    8.350      NaN      NaN        NaN      NaN      NaN    6.347   \n",
       "116   10.900    9.870      NaN      NaN        NaN      NaN      NaN    7.799   \n",
       "118   11.800   10.200      NaN      NaN        NaN      NaN      NaN    6.758   \n",
       "119   10.800    9.370      NaN      NaN        NaN      NaN      NaN    6.517   \n",
       "122   11.300    9.500      NaN      NaN        NaN      NaN      NaN    5.326   \n",
       "124   11.760   10.540      NaN      NaN        NaN      NaN      NaN    7.600   \n",
       "125   12.570   11.840      NaN      NaN        NaN      NaN      NaN    7.647   \n",
       "126   12.100   10.890      NaN      NaN        NaN      NaN      NaN    8.229   \n",
       "130   10.750    9.720      NaN      NaN        NaN      NaN      NaN    7.533   \n",
       "133   14.850      NaN      NaN      NaN        NaN      NaN      NaN   11.314   \n",
       "150    8.880    7.790      NaN      NaN        NaN      NaN      NaN    5.564   \n",
       "154    9.580    7.960      NaN      NaN        NaN      NaN      NaN    5.940   \n",
       "156   11.450   10.090      NaN      NaN        NaN      NaN      NaN    6.960   \n",
       "159    9.690    8.570      NaN      NaN        NaN      NaN      NaN    7.181   \n",
       "161   10.690    9.490      NaN      NaN        NaN      NaN      NaN    6.915   \n",
       "163   10.100    9.090      NaN      NaN        NaN      NaN      NaN    7.239   \n",
       "164   10.220    9.380      NaN      NaN        NaN      NaN      NaN    7.646   \n",
       "166   11.150   10.200      NaN      NaN        NaN      NaN      NaN    8.126   \n",
       "168    9.110    8.240      NaN      NaN        NaN      NaN      NaN    6.432   \n",
       "170   11.770   10.740      NaN      NaN        NaN      NaN      NaN    8.345   \n",
       "176      NaN      NaN      NaN      NaN        NaN      NaN      NaN    8.509   \n",
       "177   10.500    9.250      NaN      NaN        NaN      NaN      NaN    6.583   \n",
       "178    8.820    7.690      NaN      NaN        NaN      NaN      NaN    5.410   \n",
       "181   10.500    9.540      NaN      NaN        NaN      NaN      NaN    7.469   \n",
       "185    8.830    7.900      NaN      NaN        NaN      NaN      NaN    6.309   \n",
       "188   10.670    9.890      NaN      NaN        NaN      NaN      NaN    7.949   \n",
       "189   10.110    8.670      NaN      NaN        NaN      NaN      NaN    6.251   \n",
       "195    7.700    6.870      NaN      NaN        NaN      NaN      NaN    5.404   \n",
       "196    8.730    7.910      NaN      NaN        NaN      NaN      NaN    6.370   \n",
       "200    9.930    9.260      NaN      NaN        NaN      NaN      NaN    7.914   \n",
       "202    8.920    7.680      NaN      NaN        NaN      NaN      NaN    6.170   \n",
       "204    8.830    8.070      NaN      NaN        NaN      NaN      NaN    6.400   \n",
       "205    8.000    6.700      NaN      NaN        NaN      NaN      NaN    4.365   \n",
       "211    7.490    6.490      NaN      NaN        NaN      NaN      NaN    4.674   \n",
       "216    8.440    7.690      NaN      NaN        NaN      NaN      NaN    6.143   \n",
       "217    8.720    7.300      NaN      NaN        NaN      NaN      NaN    5.937   \n",
       "220    7.840    6.930      NaN      NaN        NaN      NaN      NaN    5.019   \n",
       "221    8.188    7.167      NaN      NaN        NaN      NaN      NaN    5.081   \n",
       "222   11.100    9.870      NaN      NaN        NaN      NaN      NaN    6.805   \n",
       "\n",
       "     m_exp_H  m_exp_K  FeH_exp  FeH_sigma  log_P_exp  m_sigma_J  m_sigma_H  \\\n",
       "5      5.967    5.747    -0.01       0.06   0.104800       0.01       0.01   \n",
       "17     6.091    5.864     0.23       0.07   0.101522       0.01       0.01   \n",
       "19     5.229    4.924     0.52       0.08   0.460373       0.01       0.01   \n",
       "26     5.357    5.212     0.07       0.10   0.065419       0.01       0.01   \n",
       "35     7.449    7.287     0.10       0.10  -0.390281       0.01       0.01   \n",
       "36     7.336    7.156     0.07       0.10  -0.346631       0.01       0.01   \n",
       "44     7.536    7.334     0.15       0.10  -0.181776       0.01       0.01   \n",
       "45     7.247    7.013     0.01       0.10  -0.257220       0.01       0.01   \n",
       "48     8.036    7.879     0.19       0.10  -0.416475       0.01       0.01   \n",
       "52     6.740    6.478    -0.04       0.10  -0.295298       0.01       0.01   \n",
       "57     6.439    6.240     0.03       0.10   0.036520       0.01       0.01   \n",
       "61     4.158    4.059     0.13       0.10  -0.076911       0.01       0.01   \n",
       "66     7.275    7.042     0.06       0.10  -0.202540       0.01       0.01   \n",
       "70     3.969    3.815     0.16       0.10   0.214595       0.01       0.01   \n",
       "71     6.548    6.337     0.06       0.10  -0.104808       0.01       0.01   \n",
       "72     6.078    5.840     0.15       0.10   0.304067       0.01       0.01   \n",
       "74     6.649    6.473     0.04       0.10  -0.273138       0.01       0.01   \n",
       "76     5.806    5.524     0.17       0.10  -0.279212       0.01       0.01   \n",
       "81    10.278    9.630    -0.23       0.10   0.053814       0.01       0.01   \n",
       "86     5.804    5.630     0.07       0.10   0.036804       0.01       0.01   \n",
       "88     6.097    5.873     0.00       0.10  -0.205235       0.01       0.01   \n",
       "90     6.983    6.801     0.03       0.10  -0.264329       0.01       0.01   \n",
       "91     7.671    7.420     0.03       0.10  -0.301243       0.01       0.01   \n",
       "95     8.220    7.977    -0.05       0.10  -0.368696       0.01       0.01   \n",
       "98     6.225    5.968     0.15       0.10  -0.200891       0.01       0.01   \n",
       "99     7.090    6.860     0.10       0.10  -0.107843       0.01       0.01   \n",
       "102    5.424    5.194     0.13       0.10  -0.199242       0.01       0.01   \n",
       "104    6.799    6.577     0.18       0.10  -0.106891       0.01       0.01   \n",
       "107    5.390    5.268     0.03       0.10  -0.414992       0.01       0.01   \n",
       "112    6.206    5.984     0.15       0.10  -0.225053       0.01       0.01   \n",
       "113    8.918    8.673     0.09       0.10  -0.305356       0.01       0.01   \n",
       "114    5.842    5.647     0.12       0.10   0.232327       0.01       0.01   \n",
       "116    7.411    7.247     0.08       0.10  -0.360046       0.01       0.01   \n",
       "118    6.147    5.864     0.25       0.10   0.006379       0.01       0.01   \n",
       "119    5.957    5.709     0.15       0.10   0.179536       0.01       0.01   \n",
       "122    4.630    4.307     0.26       0.10   0.167848       0.01       0.01   \n",
       "124    7.071    6.847     0.06       0.10  -0.139578       0.01       0.01   \n",
       "125    7.011    6.702     0.15       0.10  -0.292468       0.01       0.01   \n",
       "126    7.755    7.590     0.05       0.10  -0.392629       0.01       0.01   \n",
       "130    7.178    6.967    -0.06       0.10  -0.370908       0.01       0.01   \n",
       "133   10.802   10.638    -0.49       0.10  -0.461673       0.01       0.01   \n",
       "150    5.136    4.966     0.11       0.10  -0.167107       0.01       0.01   \n",
       "154    5.485    5.291    -0.09       0.10  -0.023167       0.01       0.01   \n",
       "156    6.447    6.206     0.09       0.10  -0.140264       0.01       0.01   \n",
       "159    6.809    6.660     0.09       0.10  -0.510585       0.01       0.01   \n",
       "161    6.419    6.227     0.04       0.10   0.094751       0.01       0.01   \n",
       "163    6.814    6.663     0.06       0.10  -0.036315       0.01       0.01   \n",
       "164    7.257    7.110     0.10       0.10  -0.283616       0.01       0.01   \n",
       "166    7.698    7.528    -0.08       0.10  -0.381512       0.01       0.01   \n",
       "168    5.985    5.800    -0.03       0.10   0.259536       0.01       0.01   \n",
       "170    7.848    7.704     0.18       0.10  -0.306928       0.01       0.01   \n",
       "176    7.961    7.719    -0.01       0.10  -0.190185       0.01       0.01   \n",
       "177    6.035    5.811     0.13       0.10   0.049243       0.01       0.01   \n",
       "178    4.972    4.797     0.04       0.10  -0.159620       0.01       0.01   \n",
       "181    7.004    6.818     0.19       0.10   0.065854       0.01       0.01   \n",
       "185    5.924    5.779     0.11       0.10  -0.123090       0.01       0.01   \n",
       "188    7.565    7.430     0.08       0.10  -0.369961       0.01       0.01   \n",
       "189    5.759    5.572     0.16       0.10   0.221674       0.01       0.01   \n",
       "195    4.958    4.792     0.08       0.10   0.275841       0.01       0.01   \n",
       "196    5.944    5.769     0.09       0.10   0.149438       0.01       0.01   \n",
       "200    7.602    7.494    -0.23       0.10  -0.229266       0.01       0.01   \n",
       "202    5.782    5.632     0.12       0.10  -0.333496       0.01       0.01   \n",
       "204    6.054    5.930    -0.08       0.10  -0.176250       0.01       0.01   \n",
       "205    3.828    3.619     0.21       0.10   0.617672       0.01       0.01   \n",
       "211    4.288    4.149     0.10       0.10  -0.010828       0.01       0.01   \n",
       "216    5.822    5.703    -0.01       0.10  -0.294230       0.01       0.01   \n",
       "217    5.544    5.396     0.12       0.10   0.039393       0.01       0.01   \n",
       "220    4.642    4.498     0.12       0.10  -0.260066       0.01       0.01   \n",
       "221    4.694    4.543     0.08       0.10   0.164283       0.01       0.01   \n",
       "222    6.261    6.051     0.16       0.10  -0.278546       0.01       0.01   \n",
       "\n",
       "     m_sigma_K   ID  omega_inf  omega_inf_u  omega_inf_l   A_inf_J  A_inf_J_u  \\\n",
       "5         0.01    5   0.785693     0.826474     0.746930  2.175207   2.239572   \n",
       "17        0.01   17   0.469535     0.494045     0.446063  0.472597   0.536972   \n",
       "19        0.01   19   0.583508     0.615197     0.554931  1.793189   1.853594   \n",
       "26        0.01   26   0.615680     0.648824     0.584829  0.044450   0.085347   \n",
       "35        0.01   35   0.462331     0.486708     0.440442  0.031367   0.064652   \n",
       "36        0.01   36   0.470539     0.496481     0.446884  0.119425   0.184450   \n",
       "44        0.01   44   0.437400     0.461727     0.416033  1.133892   1.204004   \n",
       "45        0.01   45   0.466565     0.492054     0.443272  0.480644   0.557357   \n",
       "48        0.01   48   0.367456     0.388635     0.349482  0.073920   0.131055   \n",
       "52        0.01   52   0.798847     0.833390     0.765408  1.395493   1.459485   \n",
       "57        0.01   57   0.395098     0.417903     0.374327  0.060585   0.113175   \n",
       "61        0.01   61   1.393960     1.432692     1.355545  0.494560   0.553517   \n",
       "66        0.01   66   0.440472     0.464048     0.419711  0.589189   0.654073   \n",
       "70        0.01   70   0.975377     1.012144     0.941070  0.260952   0.325726   \n",
       "71        0.01   71   0.513623     0.539517     0.488979  0.446859   0.508305   \n",
       "72        0.01   72   0.419978     0.444301     0.399239  1.151564   1.219523   \n",
       "74        0.01   74   0.574356     0.603705     0.549143  0.106468   0.176099   \n",
       "76        0.01   76   0.975155     1.010250     0.941714  0.653162   0.718567   \n",
       "81        0.01   81   0.112936     0.120030     0.106567  1.941054   2.014685   \n",
       "86        0.01   86   0.526494     0.554754     0.500607  0.057695   0.111137   \n",
       "88        0.01   88   0.755244     0.786870     0.723961  0.597025   0.658991   \n",
       "90        0.01   90   0.480805     0.507176     0.457459  0.061594   0.116478   \n",
       "91        0.01   91   0.422440     0.444791     0.401492  0.529405   0.596230   \n",
       "95        0.01   95   0.462611     0.486761     0.440881  1.469627   1.533210   \n",
       "98        0.01   98   0.663426     0.695730     0.633589  0.353032   0.429754   \n",
       "99        0.01   99   0.450376     0.473644     0.428867  0.873626   0.941631   \n",
       "102       0.01  102   0.924965     0.966923     0.885006  0.231020   0.301791   \n",
       "104       0.01  104   0.470361     0.497189     0.446559  0.518864   0.592578   \n",
       "107       0.01  107   1.248824     1.302230     1.201092  0.106266   0.172435   \n",
       "112       0.01  112   0.770520     0.805982     0.738530  0.745055   0.798732   \n",
       "113       0.01  113   0.408865     0.431206     0.388352  2.527096   2.589145   \n",
       "114       0.01  114   0.448808     0.475022     0.425913  0.610341   0.684290   \n",
       "116       0.01  116   0.462488     0.487257     0.439854  0.129109   0.189897   \n",
       "118       0.01  118   0.520737     0.548386     0.495618  0.428486   0.488751   \n",
       "119       0.01  119   0.426978     0.450543     0.405867  0.328019   0.399212   \n",
       "122       0.01  122   0.869005     0.908356     0.833055  0.683797   0.748472   \n",
       "124       0.01  124   0.455212     0.479794     0.433169  0.707363   0.776855   \n",
       "125       0.01  125   0.607067     0.636713     0.578982  0.824502   0.888237   \n",
       "126       0.01  126   0.603662     0.633641     0.575748  1.527705   1.599086   \n",
       "130       0.01  130   0.561885     0.593274     0.532976  0.356221   0.430315   \n",
       "133       0.01  133   0.144644     0.153055     0.136719  1.101534   1.171603   \n",
       "150       0.01  150   1.022027     1.068665     0.981561  0.314377   0.381772   \n",
       "154       0.01  154   0.769155     0.811036     0.734007  0.617768   0.683864   \n",
       "156       0.01  156   0.631226     0.667186     0.601874  0.858854   0.920640   \n",
       "159       0.01  159   0.753804     0.788422     0.720100  0.134898   0.213686   \n",
       "161       0.01  161   0.396196     0.418015     0.375701  0.358767   0.432266   \n",
       "163       0.01  163   0.390990     0.412611     0.371965  0.283762   0.346235   \n",
       "164       0.01  164   0.437735     0.462268     0.416479  0.082491   0.146150   \n",
       "166       0.01  166   0.409468     0.432289     0.388888  0.065191   0.122401   \n",
       "168       0.01  168   0.383491     0.406728     0.363949  0.418632   0.485662   \n",
       "170       0.01  170   0.428733     0.450279     0.408989  0.937128   0.998522   \n",
       "176       0.01  176   0.341286     0.360883     0.324155  0.857430   0.928686   \n",
       "177       0.01  177   0.461577     0.486476     0.437738  0.041103   0.084785   \n",
       "178       0.01  178   1.084245     1.127147     1.045932  0.284214   0.348847   \n",
       "181       0.01  181   0.326123     0.345013     0.309802  0.473061   0.545073   \n",
       "185       0.01  185   0.777791     0.811919     0.746129  0.862069   0.929228   \n",
       "188       0.01  188   0.435406     0.459030     0.414773  0.126004   0.190183   \n",
       "189       0.01  189   0.493318     0.519931     0.468369  0.760359   0.822551   \n",
       "195       0.01  195   0.581267     0.612562     0.553244  0.297976   0.355619   \n",
       "196       0.01  196   0.474321     0.500609     0.449642  0.528275   0.588452   \n",
       "200       0.01  200   0.351476     0.371848     0.334153  0.184680   0.255007   \n",
       "202       0.01  202   0.930964     0.970375     0.894596  0.141207   0.202688   \n",
       "204       0.01  204   0.636929     0.667433     0.608584  0.032938   0.069533   \n",
       "205       0.01  205   0.657682     0.690048     0.628143  0.719817   0.785261   \n",
       "211       0.01  211   1.141574     1.187180     1.099482  0.154599   0.219781   \n",
       "216       0.01  216   0.912967     0.950804     0.879166  0.356701   0.422522   \n",
       "217       0.01  217   0.604262     0.636561     0.575353  0.161416   0.225866   \n",
       "220       0.01  220   1.428501     1.480524     1.378763  0.222515   0.285426   \n",
       "221       0.01  221   1.218626     1.272960     1.166755  2.005903   2.074985   \n",
       "222       0.01  222   0.875308     0.918542     0.836695  1.042800   1.111774   \n",
       "\n",
       "     A_inf_J_l   M_inf_J  M_inf_J_u  M_inf_J_l   A_inf_H  A_inf_H_u  \\\n",
       "5     2.104222 -5.615639        NaN        NaN  1.364325   1.404696   \n",
       "17    0.409212 -5.605053        NaN        NaN  0.296421   0.336797   \n",
       "19    1.717780 -6.764025        NaN        NaN  1.124717   1.162604   \n",
       "26    0.015695 -5.488451        NaN        NaN  0.027880   0.053531   \n",
       "35    0.010788 -4.016687        NaN        NaN  0.019674   0.040551   \n",
       "36    0.064158 -4.157662        NaN        NaN  0.074906   0.115690   \n",
       "44    1.070630 -4.690090        NaN        NaN  0.711196   0.755171   \n",
       "45    0.413684 -4.446430        NaN        NaN  0.301468   0.349583   \n",
       "48    0.024869 -3.932087        NaN        NaN  0.046364   0.082200   \n",
       "52    1.325462 -4.323451        NaN        NaN  0.875276   0.915413   \n",
       "57    0.021994 -5.395116        NaN        NaN  0.038000   0.070985   \n",
       "61    0.430764 -5.028771        NaN        NaN  0.310196   0.347175   \n",
       "66    0.521755 -4.623030        NaN        NaN  0.369549   0.410245   \n",
       "70    0.195292 -5.970242        NaN        NaN  0.163673   0.204301   \n",
       "71    0.390440 -4.938671        NaN        NaN  0.280277   0.318817   \n",
       "72    1.089861 -6.259206        NaN        NaN  0.722280   0.764904   \n",
       "74    0.045235 -4.395021        NaN        NaN  0.066779   0.110452   \n",
       "76    0.581471 -4.375402        NaN        NaN  0.409674   0.450697   \n",
       "81    1.871887 -5.450971        NaN        NaN  1.217461   1.263643   \n",
       "86    0.019818 -5.396033        NaN        NaN  0.036187   0.069707   \n",
       "88    0.531833 -4.614324        NaN        NaN  0.374464   0.413330   \n",
       "90    0.021511 -4.423470        NaN        NaN  0.038633   0.073057   \n",
       "91    0.464097 -4.304249        NaN        NaN  0.332052   0.373965   \n",
       "95    1.405214 -4.086400        NaN        NaN  0.921774   0.961654   \n",
       "98    0.284807 -4.628354        NaN        NaN  0.221427   0.269549   \n",
       "99    0.802360 -4.928870        NaN        NaN  0.547952   0.590606   \n",
       "102   0.168401 -4.633679        NaN        NaN  0.144899   0.189288   \n",
       "104   0.455775 -4.931943        NaN        NaN  0.325440   0.371675   \n",
       "107   0.047059 -3.936877        NaN        NaN  0.066652   0.108154   \n",
       "112   0.688312 -4.550321        NaN        NaN  0.467311   0.500978   \n",
       "113   2.444373 -4.290968        NaN        NaN  1.585036   1.623953   \n",
       "114   0.536186 -6.027511        NaN        NaN  0.382816   0.429198   \n",
       "116   0.072848 -4.114336        NaN        NaN  0.080979   0.119106   \n",
       "118   0.370499 -5.297771        NaN        NaN  0.268753   0.306553   \n",
       "119   0.262075 -5.857012        NaN        NaN  0.205739   0.250392   \n",
       "122   0.623787 -5.819263        NaN        NaN  0.428889   0.469454   \n",
       "124   0.641066 -4.826376        NaN        NaN  0.443670   0.487256   \n",
       "125   0.761678 -4.332590        NaN        NaN  0.517141   0.557117   \n",
       "126   1.454633 -4.009101        NaN        NaN  0.958202   1.002972   \n",
       "130   0.292613 -4.079256        NaN        NaN  0.223427   0.269901   \n",
       "133   1.027918 -3.786111        NaN        NaN  0.690900   0.734848   \n",
       "150   0.246676 -4.737465        NaN        NaN  0.197182   0.239453   \n",
       "154   0.555935 -5.202348        NaN        NaN  0.387474   0.428930   \n",
       "156   0.793753 -4.824161        NaN        NaN  0.538687   0.577440   \n",
       "159   0.067550 -3.628141        NaN        NaN  0.084610   0.134027   \n",
       "161   0.296207 -5.583184        NaN        NaN  0.225024   0.271124   \n",
       "163   0.224575 -5.159883        NaN        NaN  0.177980   0.217164   \n",
       "164   0.032784 -4.361178        NaN        NaN  0.051739   0.091667   \n",
       "166   0.024432 -4.045008        NaN        NaN  0.040889   0.076772   \n",
       "168   0.355882 -6.115386        NaN        NaN  0.262573   0.304615   \n",
       "170   0.865244 -4.285888        NaN        NaN  0.587782   0.626289   \n",
       "176   0.784378 -4.662933        NaN        NaN  0.537794   0.582487   \n",
       "177   0.012978 -5.436207        NaN        NaN  0.025780   0.053179   \n",
       "178   0.213953 -4.761646        NaN        NaN  0.178263   0.218802   \n",
       "181   0.399448 -5.489855        NaN        NaN  0.296712   0.341879   \n",
       "185   0.798727 -4.879628        NaN        NaN  0.540703   0.582827   \n",
       "188   0.061424 -4.082314        NaN        NaN  0.079032   0.119286   \n",
       "189   0.700964 -5.993105        NaN        NaN  0.476909   0.515917   \n",
       "195   0.231509 -6.168048        NaN        NaN  0.186895   0.223050   \n",
       "196   0.471696 -5.759806        NaN        NaN  0.331343   0.369087   \n",
       "200   0.124412 -4.536712        NaN        NaN  0.115834   0.159944   \n",
       "202   0.085769 -4.200083        NaN        NaN  0.088568   0.127129   \n",
       "204   0.010228 -4.707937        NaN        NaN  0.020659   0.043612   \n",
       "205   0.647715 -7.272052        NaN        NaN  0.451481   0.492528   \n",
       "211   0.091863 -5.242197        NaN        NaN  0.096967   0.137850   \n",
       "216   0.287640 -4.326900        NaN        NaN  0.223729   0.265013   \n",
       "217   0.095897 -5.404395        NaN        NaN  0.101243   0.141667   \n",
       "220   0.164175 -4.437238        NaN        NaN  0.139565   0.179024   \n",
       "221   1.927338 -5.807750        NaN        NaN  1.258135   1.301464   \n",
       "222   0.980591 -4.377553        NaN        NaN  0.654061   0.697323   \n",
       "\n",
       "     A_inf_H_l   M_inf_H  M_inf_H_u  M_inf_H_l   A_inf_K  A_inf_K_u  \\\n",
       "5     1.319802 -5.875227        NaN        NaN  0.848057   0.873151   \n",
       "17    0.256665 -5.864641        NaN        NaN  0.184253   0.209351   \n",
       "19    1.077420 -7.023517        NaN        NaN  0.699118   0.722668   \n",
       "26    0.009844 -5.748050        NaN        NaN  0.017330   0.033274   \n",
       "35    0.006767 -4.276408        NaN        NaN  0.012229   0.025206   \n",
       "36    0.040241 -4.417371        NaN        NaN  0.046561   0.071912   \n",
       "44    0.671516 -4.949755        NaN        NaN  0.442075   0.469410   \n",
       "45    0.259469 -4.706115        NaN        NaN  0.187391   0.217299   \n",
       "48    0.015599 -4.191815        NaN        NaN  0.028819   0.051095   \n",
       "52    0.831351 -4.583146        NaN        NaN  0.544066   0.569015   \n",
       "57    0.013795 -5.654722        NaN        NaN  0.023621   0.044124   \n",
       "61    0.270182 -5.288408        NaN        NaN  0.192816   0.215802   \n",
       "66    0.327253 -4.882701        NaN        NaN  0.229709   0.255006   \n",
       "70    0.122490 -6.229800        NaN        NaN  0.101738   0.126992   \n",
       "71    0.244890 -5.198315        NaN        NaN  0.174219   0.198175   \n",
       "72    0.683578 -6.518740        NaN        NaN  0.448965   0.475460   \n",
       "74    0.028372 -4.654711        NaN        NaN  0.041509   0.068656   \n",
       "76    0.364708 -4.635093        NaN        NaN  0.254651   0.280151   \n",
       "81    1.174078 -5.710573        NaN        NaN  0.756767   0.785474   \n",
       "86    0.012430 -5.655639        NaN        NaN  0.022494   0.043329   \n",
       "88    0.333574 -4.873996        NaN        NaN  0.232765   0.256923   \n",
       "90    0.013492 -4.683157        NaN        NaN  0.024014   0.045412   \n",
       "91    0.291089 -4.563946        NaN        NaN  0.206401   0.232454   \n",
       "95    0.881373 -4.346115        NaN        NaN  0.572969   0.597759   \n",
       "98    0.178636 -4.888024        NaN        NaN  0.137638   0.167550   \n",
       "99    0.503253 -5.188515        NaN        NaN  0.340604   0.367117   \n",
       "102   0.105624 -4.893349        NaN        NaN  0.090069   0.117660   \n",
       "104   0.285870 -5.191588        NaN        NaN  0.202292   0.231031   \n",
       "107   0.029516 -4.196605        NaN        NaN  0.041430   0.067228   \n",
       "112   0.431720 -4.809997        NaN        NaN  0.290478   0.311405   \n",
       "113   1.533151 -4.550666        NaN        NaN  0.985249   1.009440   \n",
       "114   0.336304 -6.287064        NaN        NaN  0.237956   0.266787   \n",
       "116   0.045692 -4.374049        NaN        NaN  0.050336   0.074036   \n",
       "118   0.232383 -5.557385        NaN        NaN  0.167056   0.190552   \n",
       "119   0.164377 -6.116580        NaN        NaN  0.127886   0.155643   \n",
       "122   0.391249 -6.078833        NaN        NaN  0.266595   0.291810   \n",
       "124   0.402087 -5.086029        NaN        NaN  0.275783   0.302876   \n",
       "125   0.477737 -4.592285        NaN        NaN  0.321452   0.346300   \n",
       "126   0.912369 -4.268823        NaN        NaN  0.595613   0.623442   \n",
       "130   0.183531 -4.338972        NaN        NaN  0.138881   0.167769   \n",
       "133   0.644727 -4.045852        NaN        NaN  0.429459   0.456778   \n",
       "150   0.154719 -4.997126        NaN        NaN  0.122567   0.148843   \n",
       "154   0.348691 -5.461970        NaN        NaN  0.240852   0.266621   \n",
       "156   0.497854 -5.083814        NaN        NaN  0.334845   0.358934   \n",
       "159   0.042368 -3.887895        NaN        NaN  0.052593   0.083311   \n",
       "161   0.185786 -5.842775        NaN        NaN  0.139874   0.168529   \n",
       "163   0.140857 -5.419509        NaN        NaN  0.110631   0.134988   \n",
       "164   0.020562 -4.620871        NaN        NaN  0.032161   0.056980   \n",
       "166   0.015324 -4.304727        NaN        NaN  0.025416   0.047721   \n",
       "168   0.223215 -6.374932        NaN        NaN  0.163214   0.189347   \n",
       "170   0.542695 -4.545587        NaN        NaN  0.365362   0.389298   \n",
       "176   0.491974 -4.922601        NaN        NaN  0.334290   0.362070   \n",
       "177   0.008140 -5.695810        NaN        NaN  0.016025   0.033056   \n",
       "178   0.134195 -5.021305        NaN        NaN  0.110808   0.136006   \n",
       "181   0.250540 -5.749453        NaN        NaN  0.184434   0.212510   \n",
       "185   0.500975 -5.139277        NaN        NaN  0.336098   0.362282   \n",
       "188   0.038526 -4.342030        NaN        NaN  0.049126   0.074147   \n",
       "189   0.439656 -6.252661        NaN        NaN  0.296444   0.320691   \n",
       "195   0.145206 -6.427589        NaN        NaN  0.116173   0.138647   \n",
       "196   0.295856 -6.019382        NaN        NaN  0.205961   0.229422   \n",
       "200   0.078033 -4.796390        NaN        NaN  0.072002   0.099421   \n",
       "202   0.053795 -4.459789        NaN        NaN  0.055053   0.079023   \n",
       "204   0.006415 -4.967600        NaN        NaN  0.012842   0.027109   \n",
       "205   0.406257 -7.531501        NaN        NaN  0.280638   0.306153   \n",
       "211   0.057618 -5.501816        NaN        NaN  0.060274   0.085687   \n",
       "216   0.180413 -4.586595        NaN        NaN  0.139068   0.164730   \n",
       "217   0.060148 -5.664000        NaN        NaN  0.062932   0.088059   \n",
       "220   0.102973 -4.696924        NaN        NaN  0.086753   0.111280   \n",
       "221   1.208858 -6.067321        NaN        NaN  0.782049   0.808983   \n",
       "222   0.615043 -4.637245        NaN        NaN  0.406561   0.433452   \n",
       "\n",
       "     A_inf_K_l   M_inf_K  M_inf_K_u  M_inf_K_l  A_inf_V_l   A_inf_V  \\\n",
       "5     0.820381 -5.924813        NaN        NaN   7.173803  7.415808   \n",
       "17    0.159541 -5.914300        NaN        NaN   1.395105  1.611199   \n",
       "19    0.669718 -7.065177        NaN        NaN   5.856330  6.113416   \n",
       "26    0.006119 -5.798513        NaN        NaN   0.053508  0.151540   \n",
       "35    0.004206 -4.337029        NaN        NaN   0.036780  0.106939   \n",
       "36    0.025014 -4.477020        NaN        NaN   0.218731  0.407150   \n",
       "44    0.417411 -5.005729        NaN        NaN   3.650038  3.865714   \n",
       "45    0.161285 -4.763770        NaN        NaN   1.410348  1.638631   \n",
       "48    0.009696 -4.253020        NaN        NaN   0.084786  0.252011   \n",
       "52    0.516763 -4.641650        NaN        NaN   4.518822  4.757574   \n",
       "57    0.008575 -5.705830        NaN        NaN   0.074983  0.206549   \n",
       "61    0.167944 -5.342044        NaN        NaN   1.468578  1.686076   \n",
       "66    0.203419 -4.939138        NaN        NaN   1.778790  2.008687   \n",
       "70    0.076139 -6.276939        NaN        NaN   0.665799  0.889649   \n",
       "71    0.152222 -5.252573        NaN        NaN   1.331104  1.523451   \n",
       "72    0.424908 -6.563884        NaN        NaN   3.715601  3.925962   \n",
       "74    0.017636 -4.712721        NaN        NaN   0.154216  0.362976   \n",
       "76    0.226700 -4.693238        NaN        NaN   1.982374  2.226789   \n",
       "81    0.729800 -5.761295        NaN        NaN   6.381718  6.617525   \n",
       "86    0.007727 -5.706741        NaN        NaN   0.067564  0.196695   \n",
       "88    0.207348 -4.930492        NaN        NaN   1.813147  2.035404   \n",
       "90    0.008387 -4.740971        NaN        NaN   0.073336  0.209990   \n",
       "91    0.180939 -4.622582        NaN        NaN   1.582218  1.804872   \n",
       "95    0.547856 -4.406255        NaN        NaN   4.790715  5.010314   \n",
       "98    0.111039 -4.944424        NaN        NaN   0.970976  1.203571   \n",
       "99    0.312819 -5.242841        NaN        NaN   2.735441  2.978404   \n",
       "102   0.065655 -4.949712        NaN        NaN   0.574119  0.787603   \n",
       "104   0.177695 -5.245892        NaN        NaN   1.553849  1.768935   \n",
       "107   0.018347 -4.257777        NaN        NaN   0.160436  0.362287   \n",
       "112   0.268355 -4.866936        NaN        NaN   2.346623  2.540073   \n",
       "113   0.952998 -4.609395        NaN        NaN   8.333463  8.615485   \n",
       "114   0.209045 -6.333808        NaN        NaN   1.827988  2.080801   \n",
       "116   0.028402 -4.433996        NaN        NaN   0.248357  0.440164   \n",
       "118   0.144448 -5.609165        NaN        NaN   1.263122  1.460813   \n",
       "119   0.102176 -6.164500        NaN        NaN   0.893476  1.118298   \n",
       "122   0.243198 -6.127014        NaN        NaN   2.126640  2.331231   \n",
       "124   0.249935 -5.141062        NaN        NaN   2.185551  2.411574   \n",
       "125   0.296958 -4.650726        NaN        NaN   2.596745  2.810928   \n",
       "126   0.567123 -4.329497        NaN        NaN   4.959196  5.208319   \n",
       "130   0.114082 -4.399161        NaN        NaN   0.997587  1.214443   \n",
       "133   0.400758 -4.108065        NaN        NaN   3.504421  3.755397   \n",
       "150   0.096173 -5.052773        NaN        NaN   0.840979  1.071786   \n",
       "154   0.216745 -5.514408        NaN        NaN   1.895318  2.106122   \n",
       "156   0.309463 -5.138863        NaN        NaN   2.706095  2.928042   \n",
       "159   0.026336 -3.951198        NaN        NaN   0.230294  0.459900   \n",
       "161   0.115484 -5.892585        NaN        NaN   1.009842  1.223124   \n",
       "163   0.087556 -5.472240        NaN        NaN   0.765630  0.967412   \n",
       "164   0.012781 -4.679115        NaN        NaN   0.111767  0.281231   \n",
       "166   0.009526 -4.365153        NaN        NaN   0.083296  0.222253   \n",
       "168   0.138749 -6.421069        NaN        NaN   1.213288  1.427219   \n",
       "170   0.337336 -4.604350        NaN        NaN   2.949827  3.194897   \n",
       "176   0.305808 -4.978762        NaN        NaN   2.674134  2.923187   \n",
       "177   0.005060 -5.746634        NaN        NaN   0.044245  0.140128   \n",
       "178   0.083415 -5.076785        NaN        NaN   0.729417  0.968954   \n",
       "181   0.155734 -5.799908        NaN        NaN   1.361815  1.612780   \n",
       "185   0.311403 -5.193943        NaN        NaN   2.723055  2.939001   \n",
       "188   0.023948 -4.402199        NaN        NaN   0.209408  0.429579   \n",
       "189   0.273288 -6.299642        NaN        NaN   2.389757  2.592247   \n",
       "195   0.090259 -6.473362        NaN        NaN   0.789271  1.015873   \n",
       "196   0.183902 -6.067973        NaN        NaN   1.608127  1.801018   \n",
       "200   0.048505 -4.853422        NaN        NaN   0.424152  0.629619   \n",
       "202   0.033439 -4.519144        NaN        NaN   0.292406  0.481410   \n",
       "204   0.003988 -5.023451        NaN        NaN   0.034869  0.112295   \n",
       "205   0.252527 -7.569655        NaN        NaN   2.208216  2.454031   \n",
       "211   0.035815 -5.553979        NaN        NaN   0.313184  0.527066   \n",
       "216   0.112143 -4.645075        NaN        NaN   0.980635  1.216080   \n",
       "217   0.037388 -5.715044        NaN        NaN   0.326935  0.550306   \n",
       "220   0.064008 -4.754642        NaN        NaN   0.559714  0.758609   \n",
       "221   0.751419 -6.115582        NaN        NaN   6.570765  6.838610   \n",
       "222   0.382307 -4.695375        NaN        NaN   3.343074  3.555158   \n",
       "\n",
       "     A_inf_V_u  A_SandF_J   A_SFD_J  A_SandF_H   A_SFD_H  A_SandF_K   A_SFD_K  \n",
       "5     7.635245   0.836620  1.064360   0.529820  0.679680   0.356360  0.433060  \n",
       "17    1.830668   0.971330  1.235740   0.615130  0.789120   0.413740  0.502790  \n",
       "19    6.319354   0.978420  1.244760   0.619620  0.794880   0.416760  0.506460  \n",
       "26    0.290968   0.616830  0.784740   0.390630  0.501120   0.262740  0.319290  \n",
       "35    0.220414   0.545930  0.694540   0.345730  0.443520   0.232540  0.282590  \n",
       "36    0.628834   0.730270  0.929060   0.462470  0.593280   0.311060  0.378010  \n",
       "44    4.104742   0.907520  1.154560   0.574720  0.737280   0.386560  0.469760  \n",
       "45    1.900165   0.822440  1.046320   0.520840  0.668160   0.350320  0.425720  \n",
       "48    0.446799   0.751540  0.956120   0.475940  0.610560   0.320120  0.389020  \n",
       "52    4.975739   0.836620  1.064360   0.529820  0.679680   0.356360  0.433060  \n",
       "57    0.385842   0.779900  0.992200   0.493900  0.633600   0.332200  0.403700  \n",
       "61    1.887075   0.928790  1.181620   0.588190  0.754560   0.395620  0.480770  \n",
       "66    2.229895   0.779900  0.992200   0.493900  0.633600   0.332200  0.403700  \n",
       "70    1.110479   0.872070  1.109460   0.552270  0.708480   0.371460  0.451410  \n",
       "71    1.732936   0.779900  0.992200   0.493900  0.633600   0.332200  0.403700  \n",
       "72    4.157649   1.077680  1.371040   0.682480  0.875520   0.459040  0.557840  \n",
       "74    0.600364   0.524660  0.667480   0.332260  0.426240   0.223480  0.271580  \n",
       "76    2.449770   0.971330  1.235740   0.615130  0.789120   0.413740  0.502790  \n",
       "81    6.868552        NaN       NaN        NaN       NaN        NaN       NaN  \n",
       "86    0.378894   0.808260  1.028280   0.511860  0.656640   0.344280  0.418380  \n",
       "88    2.246660   0.921700  1.172600   0.583700  0.748800   0.392600  0.477100  \n",
       "90    0.397101   0.701910  0.892980   0.444510  0.570240   0.298980  0.363330  \n",
       "91    2.032692   0.971330  1.235740   0.615130  0.789120   0.413740  0.502790  \n",
       "95    5.227084        NaN       NaN        NaN       NaN        NaN       NaN  \n",
       "98    1.465137   0.950060  1.208680   0.601660  0.771840   0.404680  0.491780  \n",
       "99    3.210249   0.694820  0.883960   0.440020  0.564480   0.295960  0.359660  \n",
       "102   1.028879   0.914610  1.163580   0.579210  0.743040   0.389580  0.473430  \n",
       "104   2.020243   0.900430  1.145540   0.570230  0.731520   0.383540  0.466090  \n",
       "107   0.587874   0.311960  0.396880   0.197560  0.253440   0.132880  0.161480  \n",
       "112   2.723072   0.893340  1.136520   0.565740  0.725760   0.380520  0.462420  \n",
       "113   8.827023        NaN       NaN        NaN       NaN        NaN       NaN  \n",
       "114   2.332912   0.709000  0.902000   0.449000  0.576000   0.302000  0.367000  \n",
       "116   0.647404   0.730270  0.929060   0.462470  0.593280   0.311060  0.378010  \n",
       "118   1.666273   1.134400  1.443200   0.718400  0.921600   0.483200  0.587200  \n",
       "119   1.361012   1.013870  1.289860   0.642070  0.823680   0.431860  0.524810  \n",
       "122   2.551724   1.276200  1.623600   0.808200  1.036800   0.543600  0.660600  \n",
       "124   2.648489   0.864980  1.100440   0.547780  0.702720   0.368440  0.447740  \n",
       "125   3.028215   0.517570  0.658460   0.327770  0.420480   0.220460  0.267910  \n",
       "126   5.451672   0.857890  1.091420   0.543290  0.696960   0.365420  0.444070  \n",
       "130   1.467049   0.730270  0.929060   0.462470  0.593280   0.311060  0.378010  \n",
       "133   3.994279        NaN       NaN        NaN       NaN        NaN       NaN  \n",
       "150   1.301552   0.772810  0.983180   0.489410  0.627840   0.329180  0.400030  \n",
       "154   2.331457   1.148580  1.461240   0.727380  0.933120   0.489240  0.594540  \n",
       "156   3.138686   0.964240  1.226720   0.610640  0.783360   0.410720  0.499120  \n",
       "159   0.728507   0.794080  1.010240   0.502880  0.645120   0.338240  0.411040  \n",
       "161   1.473701   0.850800  1.082400   0.538800  0.691200   0.362400  0.440400  \n",
       "163   1.180398   0.716090  0.911020   0.453490  0.581760   0.305020  0.370670  \n",
       "164   0.498260   0.595560  0.757680   0.377160  0.483840   0.253680  0.308280  \n",
       "166   0.417295   0.673550  0.856900   0.426550  0.547200   0.286900  0.348650  \n",
       "168   1.655739   0.616830  0.784740   0.390630  0.501120   0.262740  0.319290  \n",
       "170   3.404203   0.730270  0.929060   0.462470  0.593280   0.311060  0.378010  \n",
       "176   3.166115        NaN       NaN        NaN       NaN        NaN       NaN  \n",
       "177   0.289054   0.886250  1.127500   0.561250  0.720000   0.377500  0.458750  \n",
       "178   1.189304   0.801170  1.019260   0.507370  0.650880   0.341260  0.414710  \n",
       "181   1.858287   0.680640  0.865920   0.431040  0.552960   0.289920  0.352320  \n",
       "185   3.167966   0.659370  0.838860   0.417570  0.535680   0.280860  0.341310  \n",
       "188   0.648379   0.553020  0.703560   0.350220  0.449280   0.235560  0.286260  \n",
       "189   2.804275   1.020960  1.298880   0.646560  0.829440   0.434880  0.528480  \n",
       "195   1.212392   0.588470  0.748660   0.372670  0.478080   0.250660  0.304610  \n",
       "196   2.006177   0.581380  0.739640   0.368180  0.472320   0.247640  0.300940  \n",
       "200   0.869380   0.475030  0.604340   0.300830  0.385920   0.202340  0.245890  \n",
       "202   0.691012   0.879160  1.118480   0.556760  0.714240   0.374480  0.455080  \n",
       "204   0.237056   0.538840  0.685520   0.341240  0.437760   0.229520  0.278920  \n",
       "205   2.677144   0.921700  1.172600   0.583700  0.748800   0.392600  0.477100  \n",
       "211   0.749287   0.709000  0.902000   0.449000  0.576000   0.302000  0.367000  \n",
       "216   1.440480   0.531750  0.676500   0.336750  0.432000   0.226500  0.275250  \n",
       "217   0.770031   1.006780  1.280840   0.637580  0.817920   0.428840  0.521140  \n",
       "220   0.973085   0.645190  0.820820   0.408590  0.524160   0.274820  0.333970  \n",
       "221   7.074129   0.723889  0.920942   0.458429  0.588096   0.308342  0.374707  \n",
       "222   3.790308   0.872070  1.109460   0.552270  0.708480   0.371460  0.451410  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Force Jupyter to display the whole table for us to gawk at\n",
    "with pd.option_context('display.max_rows', None, 'display.max_columns', 200):\n",
    "    display(data.iloc[data_emcee['ID']])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pickle the data so we can use it later"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pickle\n",
    "\n",
    "# Pickle the data\n",
    "with open('data_2018-08-17_1.pickle', 'wb') as f:\n",
    "    # Pickle the 'data' dictionary using the highest protocol available.\n",
    "    pickle.dump(data, f, pickle.HIGHEST_PROTOCOL)\n",
    "    \n",
    "# Pickle the chains onto my memory stick\n",
    "with open('/media/eh594/EMILYS USB/URI/chain_2018-08-17_1.pickle', 'wb') as f:\n",
    "    # Pickle the 'data' dictionary using the highest protocol available.\n",
    "    pickle.dump(sampler.chain, f, pickle.HIGHEST_PROTOCOL)\n",
    "\n",
    "\"\"\"\n",
    "# To open the data:\n",
    "\n",
    "import pickle\n",
    "\n",
    "with open('data.pickle', 'rb') as f:\n",
    "    # The protocol version used is detected automatically, so we do not\n",
    "    # have to specify it.\n",
    "    data = pickle.load(f)\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ------ DEPRECATED CODE BELOW -----\n",
    "Everything under here is kept for completeness. There's plenty you might want to use in here still sometimes =)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "heading_collapsed": true
   },
   "source": [
    "# Fake data loading copy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## <font color=red>Set model parameters</font>\n",
    "Here, we input parameters for the artificial stellar distribution. To change the shape of the distribution you'll need to dive into the code - but important stuff lives here at the top."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 179,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": [
    "# Set some parameters\n",
    "number_of_cores = 8  # Number of CPU cores to use\n",
    "N_stars = 100  # Number of stars\n",
    "N_binaries = 0  # If zero, binary stars will be excluded from the model.\n",
    "scale_true = 50000  # Mean distance to stars\n",
    "\n",
    "# Set the type of parallax prior:\n",
    "# finite_cloud, decreasing_space_density\n",
    "prior_type = 'finite_cloud'\n",
    "N_prior = 2000  # Necessary for 'finite cloud' data\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## Define PLR relation convenience functions\n",
    "We define a PLR relation class with a number of useful methods. Each instance stores its own PLR parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 180,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": [
    "def PLR_magnitude(a, b, P):\n",
    "    \"\"\"Returns the result of the metallacity-independent Leavitt Law given a \n",
    "    period.\n",
    "    \"\"\"\n",
    "    return a * np.log10(P) + b\n",
    "\n",
    "\n",
    "def PLR_period(a, b, m):\n",
    "    \"\"\"Returns the result of the metallacity-independent Leavitt Law given a \n",
    "    magnitude.\n",
    "    \"\"\"\n",
    "    return np.power(10, (m-b)/a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## Setup a fake distribution of stars\n",
    "Here we create a fake distribution and check it looks about like what we want. It's not exactly a Gaussian because I don't want to make the priors' life easy. That would be, like, boring."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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IiVSa07KjaV1xwNhY0NiWhG440jgGlPpYC6gKoCwtyNKSzsSYUPV4mJbkxWhBk2YQ1RMb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\nFEIiItIahZCIiLRGISQiIq35/4pYUUqfGA8zAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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p4jOFgky56sZ2tte3c+dFpbp0FCOSkozrKmfx/J5megfUNTWeKRRkyj284TBp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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def stellar_distribution(x, y, z):\n",
    "    \"\"\"Accepts input in pc only.\"\"\"\n",
    "    # Convert into kpc\n",
    "    x = np.divide(x, 1000)\n",
    "    y = np.divide(y, 1000)\n",
    "    z = np.divide(z, 1000)   \n",
    "    \n",
    "    # Constants - change me!\n",
    "    period = 60  # period of cosin oscillations \n",
    "    sigma = 2  # sd of Gaussian\n",
    "    s = [1, 1.5, 0.1]  # array of scale factors\n",
    "    l = [0, 0, 50]  # array of offsets\n",
    "    A = 0.6  # strength of cos fn\n",
    "    B = 1  # offset of cos fn\n",
    "    myNorm = 0.011  # empirical constant to put the maximum value at 1\n",
    "    fuckFactor = 0.59  # power on the cosine. absolute madness entails!!1!\n",
    "    \n",
    "    # Internal pre-calculated constants for readability - don't change me!\n",
    "    omega = 2*np.pi / period  # anguluar freq of cosine\n",
    "    c1 = 1 / ((2 * np.pi)**(3./2.) * sigma**3)  # first constant in Gaussian\n",
    "    c2 = -1 / (2 * sigma**2)  # second constant in Gaussian\n",
    "    power = c2 * (s[0]*(x - l[0])**2 + s[1]*(y-l[1])**2 + s[2]*(z-l[2])**2)  # power of Gaussian\n",
    "    \n",
    "    # Return the answer\n",
    "    return np.clip(1/myNorm * ((A * np.cos((x**2 + y**2 + z**2)**(fuckFactor)*omega)**2 \n",
    "                       + B) * c1 * np.exp(power))-0.08, 0.0, 1)\n",
    "\n",
    "# Make a z-x heatmap\n",
    "test_points = 400\n",
    "xrange = np.linspace(-20000, 20000, num=test_points)\n",
    "yrange = np.linspace(-20000, 20000, num=test_points)\n",
    "zrange = np.linspace(20000, 80000, num=test_points)\n",
    "\n",
    "xx, zz = np.meshgrid(xrange, zrange)\n",
    "\n",
    "krange = stellar_distribution(xx, 0, zz)\n",
    "\n",
    "plt.contourf(xx, zz, krange, 100)\n",
    "plt.xlabel(\"x (pc)\")\n",
    "plt.ylabel(\"z (pc)\")\n",
    "plt.show()\n",
    "\n",
    "# Make a z-axis only plot\n",
    "plt.plot(zrange, stellar_distribution(0, 0, zrange))\n",
    "plt.xlabel(\"z (pc)\")\n",
    "plt.ylabel(\"strength\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "Let's also make a re-usable function that can sample stellar_distribution as much as required."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": [
    "def sample_stellar_distribution(N):\n",
    "    \"\"\"Samples stellar_distribution N times and returns stars in ra, dec, r \n",
    "    form.\n",
    "    \"\"\"\n",
    "    # Constants - set depending on distribution shape\n",
    "    xy_min = -5000.0\n",
    "    xy_max = 5000.0\n",
    "    z_min = 35000.0\n",
    "    z_max = 65000.0   \n",
    "    \n",
    "    # Internal variables\n",
    "    ra = np.zeros(N)\n",
    "    dec = np.zeros(N)\n",
    "    r = np.zeros(N)\n",
    "    i = 0\n",
    "    while i < N:\n",
    "        # Pick a random x, y, z co-ordinate\n",
    "        test_x = (xy_max - xy_min)*np.random.rand() + xy_min\n",
    "        test_y = (xy_max - xy_min)*np.random.rand() + xy_min\n",
    "        test_z = (z_max - z_min)*np.random.rand() + z_min\n",
    "        \n",
    "        # Pick a uniform deviate between 0 and 1\n",
    "        test_p = np.random.rand()\n",
    "        \n",
    "        # Only accept this star if test_p is less than the distribution\n",
    "        if test_p < stellar_distribution(test_x, test_y, test_z):\n",
    "            sys.stdout.write(\"\\rDone {}\".format(i))\n",
    "            sys.stdout.flush()\n",
    "            \n",
    "            # Convert to ra, dec (note: NOT the same as sph. polars!!)\n",
    "            r[i] = np.sqrt(test_x**2 + test_y**2 + test_z**2)         \n",
    "            dec[i] = -np.arccos(test_z / r[i]) + np.pi/2\n",
    "            ra[i] = np.arctan2(test_y, test_x) + np.pi/2\n",
    "            \n",
    "            # Do some checks on right ascension because it's an awkward cookie\n",
    "            if ra[i] < 0:\n",
    "                ra[i] += 2* np.pi\n",
    "            elif ra[i] > 2*np.pi:\n",
    "                ra[i] -= 2*np.pi\n",
    "                       \n",
    "            # Only move on if this all worked\n",
    "            i += 1\n",
    "    \n",
    "    # Return ra, dec, r\n",
    "    sys.stdout.write(\"\\rAll done!     \")\n",
    "    sys.stdout.flush()\n",
    "    return [ra, dec, r]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## Set the numpy random seed\n",
    "This is important, because this means that everything below will be the same when ran withthe same initial conditions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": [
    "np.random.seed(42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## Setup of the stars to infer dust to"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "### Sample some fake variable stars from the stellar distribution"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "Let's sample the real location of the stars"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 184,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "All done!     "
     ]
    }
   ],
   "source": [
    "# Some names for star samples, currently just consecutive integers\n",
    "sampled_ids = pd.Series(list(range(0, N_stars)))\n",
    "\n",
    "# A pandas DataFrame for all true and experimental data\n",
    "data = pd.DataFrame(sampled_ids, columns=['ID'])\n",
    "\n",
    "# Sample N_stars stars and save to our DataFrame\n",
    "data['ra'], data['dec'], data['r_true'] = \\\n",
    "    sample_stellar_distribution(N_stars)\n",
    "    \n",
    "# Assign implied parallax values to the data frame\n",
    "data['omega_true'] = pd.Series((1 / data['r_true'])*1e3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "Let's assign stellar parameters from a PLR relation we're gonna make up for funsies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 185,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": [
    "band_names = ['E', 'M', 'I']\n",
    "a_true = [-2.9, -2.8, -2.7]\n",
    "b_true = [ -4.9,  -4.8,  -4.7]\n",
    "s_true = [ 0.1,  0.3,  0.5]\n",
    "N_bands = len(band_names)  # number of bands"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "Use the PL relation to infer values for things like magnitude."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": [
    "# Calculate PLR parameters\n",
    "# Periods between 5 to 20 days.\n",
    "data['P_true'] = pd.Series((20-5)*np.random.rand(N_stars) + 5)\n",
    "\n",
    "# Cycle over bands and make up absolute magnitudes, extinctions and app. magn.\n",
    "for i, j in zip(band_names, range(N_bands)):\n",
    "    band = '_true' + '_' + i\n",
    "    \n",
    "    # Calculate absolute magnitude from PLR and add disperion, std.d. of s_true\n",
    "    data['s'+band] = np.random.normal(loc=0, scale=s_true[j], size=N_stars)\n",
    "    data['M'+band] = (pd.Series(\n",
    "                            PLR_magnitude(a_true[j], b_true[j], data['P_true'])\n",
    "                            + data['s'+band]))\n",
    "    \n",
    "    # Extinction is between (j)/nbands + 1.2 and 0.4.\n",
    "    data['A'+band] = pd.Series((j/N_bands + 1.2 - 0.4)*np.random.rand(N_stars) + 0.4)\n",
    "    data['m'+band] = (pd.Series(data['M'+band] + 5*np.log10(data['r_true']/10)) \n",
    "                      + data['A'+band])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "### Model experimental parameters for the fake stars"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "Now, let's sample some experimental values by messing true values up with random and systematic errors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "metadata": {
    "hidden": true,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>m_true_I</th>\n",
       "      <th>omega_true</th>\n",
       "      <th>omega_exp</th>\n",
       "      <th>omega_sigma</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>12.735534</td>\n",
       "      <td>0.020834</td>\n",
       "      <td>-0.031372</td>\n",
       "      <td>0.000751</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>11.162043</td>\n",
       "      <td>0.018493</td>\n",
       "      <td>-0.030274</td>\n",
       "      <td>0.001199</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>12.137607</td>\n",
       "      <td>0.021368</td>\n",
       "      <td>-0.027344</td>\n",
       "      <td>0.000753</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>12.646269</td>\n",
       "      <td>0.020824</td>\n",
       "      <td>-0.028728</td>\n",
       "      <td>0.001140</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>12.109443</td>\n",
       "      <td>0.021789</td>\n",
       "      <td>-0.026946</td>\n",
       "      <td>0.000807</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>11.846532</td>\n",
       "      <td>0.023847</td>\n",
       "      <td>-0.024811</td>\n",
       "      <td>0.000899</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>12.194860</td>\n",
       "      <td>0.021297</td>\n",
       "      <td>-0.027937</td>\n",
       "      <td>0.000765</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>12.866659</td>\n",
       "      <td>0.019289</td>\n",
       "      <td>-0.029729</td>\n",
       "      <td>0.001065</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>13.353588</td>\n",
       "      <td>0.021843</td>\n",
       "      <td>-0.027455</td>\n",
       "      <td>0.000735</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>11.230578</td>\n",
       "      <td>0.021048</td>\n",
       "      <td>-0.029454</td>\n",
       "      <td>0.000969</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>11.316132</td>\n",
       "      <td>0.019006</td>\n",
       "      <td>-0.030270</td>\n",
       "      <td>0.001430</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>11.371226</td>\n",
       "      <td>0.020745</td>\n",
       "      <td>-0.029039</td>\n",
       "      <td>0.001204</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>12.371650</td>\n",
       "      <td>0.020707</td>\n",
       "      <td>-0.030146</td>\n",
       "      <td>0.000954</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>11.162519</td>\n",
       "      <td>0.017971</td>\n",
       "      <td>-0.031166</td>\n",
       "      <td>0.001126</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>11.839332</td>\n",
       "      <td>0.017432</td>\n",
       "      <td>-0.032334</td>\n",
       "      <td>0.000884</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>11.152125</td>\n",
       "      <td>0.022465</td>\n",
       "      <td>-0.028008</td>\n",
       "      <td>0.001294</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>13.554939</td>\n",
       "      <td>0.018492</td>\n",
       "      <td>-0.030451</td>\n",
       "      <td>0.000545</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>11.534200</td>\n",
       "      <td>0.020302</td>\n",
       "      <td>-0.026068</td>\n",
       "      <td>0.001522</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>12.207027</td>\n",
       "      <td>0.018107</td>\n",
       "      <td>-0.032138</td>\n",
       "      <td>0.000708</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>11.286337</td>\n",
       "      <td>0.021589</td>\n",
       "      <td>-0.029169</td>\n",
       "      <td>0.001540</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>12.868115</td>\n",
       "      <td>0.021747</td>\n",
       "      <td>-0.029834</td>\n",
       "      <td>0.000766</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>11.442920</td>\n",
       "      <td>0.019501</td>\n",
       "      <td>-0.030690</td>\n",
       "      <td>0.001207</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>10.997541</td>\n",
       "      <td>0.019070</td>\n",
       "      <td>-0.029974</td>\n",
       "      <td>0.001167</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>11.274496</td>\n",
       "      <td>0.020126</td>\n",
       "      <td>-0.029672</td>\n",
       "      <td>0.001032</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>11.430496</td>\n",
       "      <td>0.021293</td>\n",
       "      <td>-0.029106</td>\n",
       "      <td>0.001340</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>13.209534</td>\n",
       "      <td>0.022936</td>\n",
       "      <td>-0.027598</td>\n",
       "      <td>0.000320</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>10.568136</td>\n",
       "      <td>0.022942</td>\n",
       "      <td>-0.028876</td>\n",
       "      <td>0.000856</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>10.874838</td>\n",
       "      <td>0.018275</td>\n",
       "      <td>-0.031388</td>\n",
       "      <td>0.000815</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>12.085654</td>\n",
       "      <td>0.020917</td>\n",
       "      <td>-0.030649</td>\n",
       "      <td>0.000733</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>11.671284</td>\n",
       "      <td>0.023807</td>\n",
       "      <td>-0.026485</td>\n",
       "      <td>0.001036</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>70</th>\n",
       "      <td>13.360798</td>\n",
       "      <td>0.018764</td>\n",
       "      <td>-0.030916</td>\n",
       "      <td>0.000853</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71</th>\n",
       "      <td>11.803106</td>\n",
       "      <td>0.019452</td>\n",
       "      <td>-0.029259</td>\n",
       "      <td>0.000988</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>72</th>\n",
       "      <td>13.061646</td>\n",
       "      <td>0.020766</td>\n",
       "      <td>-0.029628</td>\n",
       "      <td>0.000892</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>73</th>\n",
       "      <td>11.810006</td>\n",
       "      <td>0.018899</td>\n",
       "      <td>-0.029170</td>\n",
       "      <td>0.001347</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>74</th>\n",
       "      <td>11.289969</td>\n",
       "      <td>0.017540</td>\n",
       "      <td>-0.031191</td>\n",
       "      <td>0.001515</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75</th>\n",
       "      <td>11.483777</td>\n",
       "      <td>0.019775</td>\n",
       "      <td>-0.027711</td>\n",
       "      <td>0.001193</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>76</th>\n",
       "      <td>11.170650</td>\n",
       "      <td>0.022554</td>\n",
       "      <td>-0.026402</td>\n",
       "      <td>0.000733</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>77</th>\n",
       "      <td>11.717481</td>\n",
       "      <td>0.019386</td>\n",
       "      <td>-0.030823</td>\n",
       "      <td>0.001169</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>78</th>\n",
       "      <td>12.521685</td>\n",
       "      <td>0.021596</td>\n",
       "      <td>-0.026337</td>\n",
       "      <td>0.001052</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>79</th>\n",
       "      <td>12.040564</td>\n",
       "      <td>0.018354</td>\n",
       "      <td>-0.030203</td>\n",
       "      <td>0.000974</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80</th>\n",
       "      <td>11.483725</td>\n",
       "      <td>0.019460</td>\n",
       "      <td>-0.030536</td>\n",
       "      <td>0.001523</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>81</th>\n",
       "      <td>11.028396</td>\n",
       "      <td>0.021876</td>\n",
       "      <td>-0.027332</td>\n",
       "      <td>0.001457</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>82</th>\n",
       "      <td>11.485285</td>\n",
       "      <td>0.018627</td>\n",
       "      <td>-0.033877</td>\n",
       "      <td>0.001257</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>83</th>\n",
       "      <td>11.406263</td>\n",
       "      <td>0.019275</td>\n",
       "      <td>-0.033289</td>\n",
       "      <td>0.001398</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>84</th>\n",
       "      <td>11.883519</td>\n",
       "      <td>0.020342</td>\n",
       "      <td>-0.028705</td>\n",
       "      <td>0.001098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>85</th>\n",
       "      <td>11.711669</td>\n",
       "      <td>0.021094</td>\n",
       "      <td>-0.029205</td>\n",
       "      <td>0.000538</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>86</th>\n",
       "      <td>11.696597</td>\n",
       "      <td>0.018448</td>\n",
       "      <td>-0.032278</td>\n",
       "      <td>0.000968</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>87</th>\n",
       "      <td>11.709521</td>\n",
       "      <td>0.019954</td>\n",
       "      <td>-0.029252</td>\n",
       "      <td>0.001329</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>88</th>\n",
       "      <td>13.298210</td>\n",
       "      <td>0.020381</td>\n",
       "      <td>-0.028772</td>\n",
       "      <td>0.000566</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>89</th>\n",
       "      <td>11.857562</td>\n",
       "      <td>0.017161</td>\n",
       "      <td>-0.032827</td>\n",
       "      <td>0.000989</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>90</th>\n",
       "      <td>12.218137</td>\n",
       "      <td>0.021355</td>\n",
       "      <td>-0.028516</td>\n",
       "      <td>0.000748</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>91</th>\n",
       "      <td>11.409674</td>\n",
       "      <td>0.022380</td>\n",
       "      <td>-0.026941</td>\n",
       "      <td>0.001557</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>92</th>\n",
       "      <td>11.194383</td>\n",
       "      <td>0.019591</td>\n",
       "      <td>-0.031119</td>\n",
       "      <td>0.001605</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>93</th>\n",
       "      <td>12.144055</td>\n",
       "      <td>0.017208</td>\n",
       "      <td>-0.032197</td>\n",
       "      <td>0.000794</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>94</th>\n",
       "      <td>10.795988</td>\n",
       "      <td>0.022505</td>\n",
       "      <td>-0.028681</td>\n",
       "      <td>0.001029</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>95</th>\n",
       "      <td>12.916714</td>\n",
       "      <td>0.018985</td>\n",
       "      <td>-0.031088</td>\n",
       "      <td>0.000666</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>96</th>\n",
       "      <td>11.683038</td>\n",
       "      <td>0.018334</td>\n",
       "      <td>-0.032134</td>\n",
       "      <td>0.001212</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>97</th>\n",
       "      <td>12.281354</td>\n",
       "      <td>0.023010</td>\n",
       "      <td>-0.025784</td>\n",
       "      <td>0.001024</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>98</th>\n",
       "      <td>11.955812</td>\n",
       "      <td>0.016787</td>\n",
       "      <td>-0.034304</td>\n",
       "      <td>0.001175</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>99</th>\n",
       "      <td>13.035200</td>\n",
       "      <td>0.020755</td>\n",
       "      <td>-0.027845</td>\n",
       "      <td>0.000790</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>100 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     m_true_I  omega_true  omega_exp  omega_sigma\n",
       "0   12.735534    0.020834  -0.031372     0.000751\n",
       "1   11.162043    0.018493  -0.030274     0.001199\n",
       "2   12.137607    0.021368  -0.027344     0.000753\n",
       "3   12.646269    0.020824  -0.028728     0.001140\n",
       "4   12.109443    0.021789  -0.026946     0.000807\n",
       "5   11.846532    0.023847  -0.024811     0.000899\n",
       "6   12.194860    0.021297  -0.027937     0.000765\n",
       "7   12.866659    0.019289  -0.029729     0.001065\n",
       "8   13.353588    0.021843  -0.027455     0.000735\n",
       "9   11.230578    0.021048  -0.029454     0.000969\n",
       "10  11.316132    0.019006  -0.030270     0.001430\n",
       "11  11.371226    0.020745  -0.029039     0.001204\n",
       "12  12.371650    0.020707  -0.030146     0.000954\n",
       "13  11.162519    0.017971  -0.031166     0.001126\n",
       "14  11.839332    0.017432  -0.032334     0.000884\n",
       "15  11.152125    0.022465  -0.028008     0.001294\n",
       "16  13.554939    0.018492  -0.030451     0.000545\n",
       "17  11.534200    0.020302  -0.026068     0.001522\n",
       "18  12.207027    0.018107  -0.032138     0.000708\n",
       "19  11.286337    0.021589  -0.029169     0.001540\n",
       "20  12.868115    0.021747  -0.029834     0.000766\n",
       "21  11.442920    0.019501  -0.030690     0.001207\n",
       "22  10.997541    0.019070  -0.029974     0.001167\n",
       "23  11.274496    0.020126  -0.029672     0.001032\n",
       "24  11.430496    0.021293  -0.029106     0.001340\n",
       "25  13.209534    0.022936  -0.027598     0.000320\n",
       "26  10.568136    0.022942  -0.028876     0.000856\n",
       "27  10.874838    0.018275  -0.031388     0.000815\n",
       "28  12.085654    0.020917  -0.030649     0.000733\n",
       "29  11.671284    0.023807  -0.026485     0.001036\n",
       "..        ...         ...        ...          ...\n",
       "70  13.360798    0.018764  -0.030916     0.000853\n",
       "71  11.803106    0.019452  -0.029259     0.000988\n",
       "72  13.061646    0.020766  -0.029628     0.000892\n",
       "73  11.810006    0.018899  -0.029170     0.001347\n",
       "74  11.289969    0.017540  -0.031191     0.001515\n",
       "75  11.483777    0.019775  -0.027711     0.001193\n",
       "76  11.170650    0.022554  -0.026402     0.000733\n",
       "77  11.717481    0.019386  -0.030823     0.001169\n",
       "78  12.521685    0.021596  -0.026337     0.001052\n",
       "79  12.040564    0.018354  -0.030203     0.000974\n",
       "80  11.483725    0.019460  -0.030536     0.001523\n",
       "81  11.028396    0.021876  -0.027332     0.001457\n",
       "82  11.485285    0.018627  -0.033877     0.001257\n",
       "83  11.406263    0.019275  -0.033289     0.001398\n",
       "84  11.883519    0.020342  -0.028705     0.001098\n",
       "85  11.711669    0.021094  -0.029205     0.000538\n",
       "86  11.696597    0.018448  -0.032278     0.000968\n",
       "87  11.709521    0.019954  -0.029252     0.001329\n",
       "88  13.298210    0.020381  -0.028772     0.000566\n",
       "89  11.857562    0.017161  -0.032827     0.000989\n",
       "90  12.218137    0.021355  -0.028516     0.000748\n",
       "91  11.409674    0.022380  -0.026941     0.001557\n",
       "92  11.194383    0.019591  -0.031119     0.001605\n",
       "93  12.144055    0.017208  -0.032197     0.000794\n",
       "94  10.795988    0.022505  -0.028681     0.001029\n",
       "95  12.916714    0.018985  -0.031088     0.000666\n",
       "96  11.683038    0.018334  -0.032134     0.001212\n",
       "97  12.281354    0.023010  -0.025784     0.001024\n",
       "98  11.955812    0.016787  -0.034304     0.001175\n",
       "99  13.035200    0.020755  -0.027845     0.000790\n",
       "\n",
       "[100 rows x 4 columns]"
      ]
     },
     "execution_count": 187,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def parallax_error_estimator(magnitude, N_stars):\n",
    "    \"\"\"Models parallax error according to Gaia collaboration \n",
    "    2018 - Summary of contents & survery properties\n",
    "    - - - - - - - - - - \n",
    "     m   sigma_omega [mas]\n",
    "    <15  0.02-0.04\n",
    "     17  0.10\n",
    "     20  0.70\n",
    "     21  2.00\n",
    "    \"\"\"\n",
    "    # Always 0.02 below 11\n",
    "    magnitude = np.where(magnitude <= 11, 0.02, \n",
    "                         magnitude)\n",
    "    \n",
    "    # Make it big for over 21\n",
    "    magnitude =  np.where(magnitude > 21, 2 * (magnitude-20), \n",
    "                          magnitude)\n",
    "    \n",
    "    # Linear between 0.7 at 20, 2.0 at 21\n",
    "    magnitude = np.where(magnitude > 20, 1.3 * (magnitude-20) + 0.70, \n",
    "                         magnitude)\n",
    "    \n",
    "    # Linear between 0.1 at 17, 0.7 at 20\n",
    "    magnitude = np.where(magnitude > 17, 0.20 * (magnitude-17) + 0.10, \n",
    "                         magnitude)\n",
    "    \n",
    "    # Linear between 0.04 at 15, 0.1 at 17\n",
    "    magnitude = np.where(magnitude > 15, 0.03 * (magnitude-20) + 0.04, \n",
    "                         magnitude)\n",
    "    \n",
    "    # Linear between 0.02 at 11, 0.04 at 15\n",
    "    magnitude = np.where(magnitude > 11, 0.005 * (magnitude-20) + 0.02, \n",
    "                         magnitude)\n",
    "    \n",
    "    # Add a bit of random error & return\n",
    "    return magnitude * np.random.normal(loc=1, scale=0.2, size=N_stars)\n",
    "\n",
    "\n",
    "\"\"\"Parallax\"\"\"\n",
    "omega_0_true = -0.05  # in mas\n",
    "parallax_errors = parallax_error_estimator(data['m_true_I'], N_stars) / 20  # BIG CHEEKY DIVISION HAPPENING\n",
    "data['omega_exp'] = (data['omega_true'] + omega_0_true\n",
    "                     + np.random.normal(loc=0, scale=1, size=N_stars) \n",
    "                     * parallax_errors)\n",
    "data['omega_sigma'] = np.abs(parallax_errors)\n",
    "\n",
    "\n",
    "\"\"\"Period\"\"\"\n",
    "# Typical 1.5% P error\n",
    "period_errors = data['P_true'] * np.random.normal(loc=0, scale=0.015, size=N_stars)\n",
    "data['P_exp'] = data['P_true'] + period_errors\n",
    "data['P_sigma'] = data['P_exp'] * 0.015\n",
    "\n",
    "\n",
    "\"\"\"Apparent magnitude (uncorrected for extinction) & extinction estimates\"\"\"\n",
    "# Typical errors from Scowcroft 2016 - typical 0.01 mag\n",
    "# Cycle over all my bands\n",
    "# Cycle over bands and make up absolute magnitudes, extinctions and app. magn.\n",
    "for i, j in zip(band_names, range(N_bands)):\n",
    "    band = '_' + i\n",
    "    app_magnitude_errors = np.random.normal(loc=0, scale=0.01, size=N_stars)\n",
    "    data['m_exp'+band] = data['m_true'+band] + app_magnitude_errors\n",
    "    data['m_sigma'+band] = 0.01\n",
    "    data['A_exp'+band] = data['A_true'+band] * ((0.9-0.5)*np.random.rand(N_stars) + 0.5)\n",
    "    data['A_sigma'+band] = 0.3 * data['A_exp'+band]   # 30% error on all\n",
    "\n",
    "\n",
    "\"\"\"Inferred absolute magniture from the test PLR\"\"\"\n",
    "### THIS CURRENTLY JUST USES INPUT ERROR - needs knowledge of relationship error also\n",
    "# We are assuming that the scatter is much greater than the period error\n",
    "# to justify M being treated as a Gaussian deviate.\n",
    "#data['M_exp'] = pd.Series(test_PLR.magnitude(data['P_exp']) + data['s_true'])\n",
    "#data['M_sigma'] = pd.Series(np.sqrt(\n",
    "#            (test_PLR.read_band_a() * data['P_sigma']/data['P_exp'] \n",
    "#             * np.log(data['P_exp']))**2 \n",
    "#            + (0 * test_PLR.read_band_b())**2\n",
    "#            + (0 * dispersion_guess)**2))\n",
    "\n",
    "# \"\"\"Inferred radii from the test PLR\"\"\"\n",
    "# data['r_exp'] = np.power(10, (data['m_exp'] \n",
    "#                              - data['M_exp']) / 5 + 1)\n",
    "# data['r_exp_u'] = np.power(10, (data['m_exp'] + data['m_sigma']\n",
    "#                                - data['M_sigma']) / 5 + 1)\n",
    "# data['r_exp_l'] = np.power(10, (data['m_exp'] - data['m_sigma']\n",
    "#                                + data['M_sigma']) / 5 + 1)\n",
    "\n",
    "# Output some data so far to look at what our results are like\n",
    "data[['m_true'+band, 'omega_true', 'omega_exp', 'omega_sigma']]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## Magellanic Cloud - setup of the prior stars"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "### Sample some fake stars"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 188,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "All done!     "
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ID</th>\n",
       "      <th>ra</th>\n",
       "      <th>dec</th>\n",
       "      <th>r_true</th>\n",
       "      <th>r_exp</th>\n",
       "      <th>r_sigma</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>1.332484</td>\n",
       "      <td>1.540451</td>\n",
       "      <td>49882.494750</td>\n",
       "      <td>50700.915639</td>\n",
       "      <td>573.488598</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>4.913156</td>\n",
       "      <td>1.536351</td>\n",
       "      <td>45050.815436</td>\n",
       "      <td>45912.085582</td>\n",
       "      <td>905.257034</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>1.985730</td>\n",
       "      <td>1.534907</td>\n",
       "      <td>60022.022648</td>\n",
       "      <td>59885.983811</td>\n",
       "      <td>802.378941</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>1.747373</td>\n",
       "      <td>1.529049</td>\n",
       "      <td>46415.266415</td>\n",
       "      <td>46395.264527</td>\n",
       "      <td>559.724001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>3.363459</td>\n",
       "      <td>1.527287</td>\n",
       "      <td>46682.745631</td>\n",
       "      <td>45959.352680</td>\n",
       "      <td>958.768920</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5</td>\n",
       "      <td>0.043193</td>\n",
       "      <td>1.536731</td>\n",
       "      <td>50278.519968</td>\n",
       "      <td>49543.591761</td>\n",
       "      <td>811.313230</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>6</td>\n",
       "      <td>1.972510</td>\n",
       "      <td>1.522704</td>\n",
       "      <td>55655.346642</td>\n",
       "      <td>55214.661796</td>\n",
       "      <td>586.168199</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>7</td>\n",
       "      <td>3.860006</td>\n",
       "      <td>1.537455</td>\n",
       "      <td>45982.882079</td>\n",
       "      <td>45857.713079</td>\n",
       "      <td>612.090911</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>8</td>\n",
       "      <td>4.633852</td>\n",
       "      <td>1.520815</td>\n",
       "      <td>42954.549630</td>\n",
       "      <td>43021.852346</td>\n",
       "      <td>602.069694</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>9</td>\n",
       "      <td>2.397945</td>\n",
       "      <td>1.540385</td>\n",
       "      <td>50980.893294</td>\n",
       "      <td>50809.692912</td>\n",
       "      <td>612.651194</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>10</td>\n",
       "      <td>3.069756</td>\n",
       "      <td>1.533666</td>\n",
       "      <td>46646.066745</td>\n",
       "      <td>46852.650603</td>\n",
       "      <td>604.886123</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>11</td>\n",
       "      <td>3.446579</td>\n",
       "      <td>1.560265</td>\n",
       "      <td>49756.477944</td>\n",
       "      <td>49373.973942</td>\n",
       "      <td>872.986188</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>12</td>\n",
       "      <td>0.828544</td>\n",
       "      <td>1.563810</td>\n",
       "      <td>48429.898064</td>\n",
       "      <td>48981.314170</td>\n",
       "      <td>795.699922</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>13</td>\n",
       "      <td>0.145027</td>\n",
       "      <td>1.527490</td>\n",
       "      <td>42784.858846</td>\n",
       "      <td>43998.329634</td>\n",
       "      <td>616.675761</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>14</td>\n",
       "      <td>4.662589</td>\n",
       "      <td>1.517225</td>\n",
       "      <td>44652.602802</td>\n",
       "      <td>45861.259186</td>\n",
       "      <td>965.976033</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>15</td>\n",
       "      <td>6.007053</td>\n",
       "      <td>1.546861</td>\n",
       "      <td>44317.110817</td>\n",
       "      <td>43796.065807</td>\n",
       "      <td>505.808335</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>16</td>\n",
       "      <td>5.174944</td>\n",
       "      <td>1.537834</td>\n",
       "      <td>47311.254722</td>\n",
       "      <td>46826.082937</td>\n",
       "      <td>842.795665</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>17</td>\n",
       "      <td>1.723051</td>\n",
       "      <td>1.527909</td>\n",
       "      <td>49381.720329</td>\n",
       "      <td>50353.308758</td>\n",
       "      <td>771.692064</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>18</td>\n",
       "      <td>4.338259</td>\n",
       "      <td>1.524329</td>\n",
       "      <td>53362.958856</td>\n",
       "      <td>52111.661225</td>\n",
       "      <td>765.718182</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>19</td>\n",
       "      <td>1.277670</td>\n",
       "      <td>1.519871</td>\n",
       "      <td>43896.374214</td>\n",
       "      <td>43667.601168</td>\n",
       "      <td>775.676137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>20</td>\n",
       "      <td>4.444872</td>\n",
       "      <td>1.562154</td>\n",
       "      <td>56393.049611</td>\n",
       "      <td>56426.853771</td>\n",
       "      <td>743.313466</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>21</td>\n",
       "      <td>0.930496</td>\n",
       "      <td>1.543914</td>\n",
       "      <td>44935.224095</td>\n",
       "      <td>44668.166505</td>\n",
       "      <td>973.239148</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>22</td>\n",
       "      <td>3.617072</td>\n",
       "      <td>1.558899</td>\n",
       "      <td>50896.849644</td>\n",
       "      <td>50716.708810</td>\n",
       "      <td>809.370057</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>23</td>\n",
       "      <td>3.835150</td>\n",
       "      <td>1.553636</td>\n",
       "      <td>49122.384923</td>\n",
       "      <td>49358.517570</td>\n",
       "      <td>729.696713</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>24</td>\n",
       "      <td>1.863271</td>\n",
       "      <td>1.546729</td>\n",
       "      <td>54881.470537</td>\n",
       "      <td>54934.666186</td>\n",
       "      <td>930.027547</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>25</td>\n",
       "      <td>3.279571</td>\n",
       "      <td>1.529118</td>\n",
       "      <td>48052.637152</td>\n",
       "      <td>47284.392004</td>\n",
       "      <td>944.828502</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>26</td>\n",
       "      <td>4.943690</td>\n",
       "      <td>1.509362</td>\n",
       "      <td>49915.452536</td>\n",
       "      <td>51465.723043</td>\n",
       "      <td>887.201776</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>27</td>\n",
       "      <td>4.459081</td>\n",
       "      <td>1.530535</td>\n",
       "      <td>56307.488567</td>\n",
       "      <td>56298.593513</td>\n",
       "      <td>786.905062</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>28</td>\n",
       "      <td>4.454356</td>\n",
       "      <td>1.521585</td>\n",
       "      <td>51052.723558</td>\n",
       "      <td>51244.341959</td>\n",
       "      <td>521.350474</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>29</td>\n",
       "      <td>4.557906</td>\n",
       "      <td>1.528030</td>\n",
       "      <td>47289.894042</td>\n",
       "      <td>46995.941844</td>\n",
       "      <td>955.052630</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1970</th>\n",
       "      <td>1970</td>\n",
       "      <td>0.565406</td>\n",
       "      <td>1.548409</td>\n",
       "      <td>49146.287413</td>\n",
       "      <td>48848.997413</td>\n",
       "      <td>970.897850</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1971</th>\n",
       "      <td>1971</td>\n",
       "      <td>1.052303</td>\n",
       "      <td>1.549419</td>\n",
       "      <td>45187.327893</td>\n",
       "      <td>45410.990226</td>\n",
       "      <td>998.166355</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1972</th>\n",
       "      <td>1972</td>\n",
       "      <td>1.125142</td>\n",
       "      <td>1.527200</td>\n",
       "      <td>54670.824965</td>\n",
       "      <td>53255.486411</td>\n",
       "      <td>721.718638</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1973</th>\n",
       "      <td>1973</td>\n",
       "      <td>2.498285</td>\n",
       "      <td>1.565384</td>\n",
       "      <td>50747.039619</td>\n",
       "      <td>50177.666139</td>\n",
       "      <td>824.016518</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1974</th>\n",
       "      <td>1974</td>\n",
       "      <td>1.600655</td>\n",
       "      <td>1.504006</td>\n",
       "      <td>43972.355166</td>\n",
       "      <td>44489.841562</td>\n",
       "      <td>766.982716</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1975</th>\n",
       "      <td>1975</td>\n",
       "      <td>1.298456</td>\n",
       "      <td>1.520615</td>\n",
       "      <td>43866.610367</td>\n",
       "      <td>44358.218142</td>\n",
       "      <td>588.575253</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1976</th>\n",
       "      <td>1976</td>\n",
       "      <td>3.298537</td>\n",
       "      <td>1.534591</td>\n",
       "      <td>59059.323418</td>\n",
       "      <td>59432.766271</td>\n",
       "      <td>737.016766</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1977</th>\n",
       "      <td>1977</td>\n",
       "      <td>2.028618</td>\n",
       "      <td>1.546591</td>\n",
       "      <td>46990.544263</td>\n",
       "      <td>44878.175962</td>\n",
       "      <td>971.434631</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1978</th>\n",
       "      <td>1978</td>\n",
       "      <td>5.203567</td>\n",
       "      <td>1.544121</td>\n",
       "      <td>46086.463822</td>\n",
       "      <td>45944.284211</td>\n",
       "      <td>759.024481</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1979</th>\n",
       "      <td>1979</td>\n",
       "      <td>5.517559</td>\n",
       "      <td>1.553489</td>\n",
       "      <td>42705.907519</td>\n",
       "      <td>41915.100163</td>\n",
       "      <td>901.379282</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1980</th>\n",
       "      <td>1980</td>\n",
       "      <td>2.112975</td>\n",
       "      <td>1.540344</td>\n",
       "      <td>40658.778806</td>\n",
       "      <td>41023.472721</td>\n",
       "      <td>790.752402</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1981</th>\n",
       "      <td>1981</td>\n",
       "      <td>3.938572</td>\n",
       "      <td>1.528104</td>\n",
       "      <td>47194.527678</td>\n",
       "      <td>47301.372632</td>\n",
       "      <td>744.296387</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1982</th>\n",
       "      <td>1982</td>\n",
       "      <td>6.147279</td>\n",
       "      <td>1.544679</td>\n",
       "      <td>49834.711142</td>\n",
       "      <td>50257.694011</td>\n",
       "      <td>534.631441</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1983</th>\n",
       "      <td>1983</td>\n",
       "      <td>1.084549</td>\n",
       "      <td>1.528787</td>\n",
       "      <td>46560.436537</td>\n",
       "      <td>46194.836209</td>\n",
       "      <td>970.880414</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1984</th>\n",
       "      <td>1984</td>\n",
       "      <td>0.374133</td>\n",
       "      <td>1.547322</td>\n",
       "      <td>59774.850200</td>\n",
       "      <td>59821.361405</td>\n",
       "      <td>567.137854</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1985</th>\n",
       "      <td>1985</td>\n",
       "      <td>0.713046</td>\n",
       "      <td>1.514457</td>\n",
       "      <td>49470.016964</td>\n",
       "      <td>50714.535360</td>\n",
       "      <td>863.686875</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1986</th>\n",
       "      <td>1986</td>\n",
       "      <td>2.958203</td>\n",
       "      <td>1.514072</td>\n",
       "      <td>41626.868396</td>\n",
       "      <td>42628.838387</td>\n",
       "      <td>649.305006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1987</th>\n",
       "      <td>1987</td>\n",
       "      <td>1.228030</td>\n",
       "      <td>1.518143</td>\n",
       "      <td>50445.824993</td>\n",
       "      <td>51095.527469</td>\n",
       "      <td>656.296248</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1988</th>\n",
       "      <td>1988</td>\n",
       "      <td>6.160311</td>\n",
       "      <td>1.517333</td>\n",
       "      <td>44046.859966</td>\n",
       "      <td>42709.143005</td>\n",
       "      <td>757.399579</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989</th>\n",
       "      <td>1989</td>\n",
       "      <td>4.969206</td>\n",
       "      <td>1.516903</td>\n",
       "      <td>56193.011143</td>\n",
       "      <td>55856.076949</td>\n",
       "      <td>732.605961</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1990</th>\n",
       "      <td>1990</td>\n",
       "      <td>4.133552</td>\n",
       "      <td>1.531663</td>\n",
       "      <td>50448.440849</td>\n",
       "      <td>51165.112663</td>\n",
       "      <td>543.020540</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1991</th>\n",
       "      <td>1991</td>\n",
       "      <td>3.323801</td>\n",
       "      <td>1.534009</td>\n",
       "      <td>39864.806443</td>\n",
       "      <td>39840.912748</td>\n",
       "      <td>581.445173</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992</th>\n",
       "      <td>1992</td>\n",
       "      <td>2.815327</td>\n",
       "      <td>1.522557</td>\n",
       "      <td>49581.056032</td>\n",
       "      <td>48907.204853</td>\n",
       "      <td>963.084617</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1993</th>\n",
       "      <td>1993</td>\n",
       "      <td>3.391206</td>\n",
       "      <td>1.540465</td>\n",
       "      <td>46061.821061</td>\n",
       "      <td>46172.455664</td>\n",
       "      <td>713.377984</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1994</th>\n",
       "      <td>1994</td>\n",
       "      <td>1.524687</td>\n",
       "      <td>1.491514</td>\n",
       "      <td>45550.664374</td>\n",
       "      <td>45118.717993</td>\n",
       "      <td>692.033647</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1995</th>\n",
       "      <td>1995</td>\n",
       "      <td>1.493684</td>\n",
       "      <td>1.537893</td>\n",
       "      <td>51923.413208</td>\n",
       "      <td>52040.770766</td>\n",
       "      <td>755.103793</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1996</th>\n",
       "      <td>1996</td>\n",
       "      <td>5.753594</td>\n",
       "      <td>1.524159</td>\n",
       "      <td>53966.364983</td>\n",
       "      <td>54065.964776</td>\n",
       "      <td>615.426886</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1997</th>\n",
       "      <td>1997</td>\n",
       "      <td>0.078580</td>\n",
       "      <td>1.534210</td>\n",
       "      <td>47116.233065</td>\n",
       "      <td>46800.898029</td>\n",
       "      <td>545.232907</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1998</th>\n",
       "      <td>1998</td>\n",
       "      <td>6.263557</td>\n",
       "      <td>1.531914</td>\n",
       "      <td>54584.148864</td>\n",
       "      <td>54777.091985</td>\n",
       "      <td>948.563491</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999</th>\n",
       "      <td>1999</td>\n",
       "      <td>2.250322</td>\n",
       "      <td>1.546609</td>\n",
       "      <td>47102.363656</td>\n",
       "      <td>46841.750151</td>\n",
       "      <td>568.559269</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2000 rows × 6 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        ID        ra       dec        r_true         r_exp     r_sigma\n",
       "0        0  1.332484  1.540451  49882.494750  50700.915639  573.488598\n",
       "1        1  4.913156  1.536351  45050.815436  45912.085582  905.257034\n",
       "2        2  1.985730  1.534907  60022.022648  59885.983811  802.378941\n",
       "3        3  1.747373  1.529049  46415.266415  46395.264527  559.724001\n",
       "4        4  3.363459  1.527287  46682.745631  45959.352680  958.768920\n",
       "5        5  0.043193  1.536731  50278.519968  49543.591761  811.313230\n",
       "6        6  1.972510  1.522704  55655.346642  55214.661796  586.168199\n",
       "7        7  3.860006  1.537455  45982.882079  45857.713079  612.090911\n",
       "8        8  4.633852  1.520815  42954.549630  43021.852346  602.069694\n",
       "9        9  2.397945  1.540385  50980.893294  50809.692912  612.651194\n",
       "10      10  3.069756  1.533666  46646.066745  46852.650603  604.886123\n",
       "11      11  3.446579  1.560265  49756.477944  49373.973942  872.986188\n",
       "12      12  0.828544  1.563810  48429.898064  48981.314170  795.699922\n",
       "13      13  0.145027  1.527490  42784.858846  43998.329634  616.675761\n",
       "14      14  4.662589  1.517225  44652.602802  45861.259186  965.976033\n",
       "15      15  6.007053  1.546861  44317.110817  43796.065807  505.808335\n",
       "16      16  5.174944  1.537834  47311.254722  46826.082937  842.795665\n",
       "17      17  1.723051  1.527909  49381.720329  50353.308758  771.692064\n",
       "18      18  4.338259  1.524329  53362.958856  52111.661225  765.718182\n",
       "19      19  1.277670  1.519871  43896.374214  43667.601168  775.676137\n",
       "20      20  4.444872  1.562154  56393.049611  56426.853771  743.313466\n",
       "21      21  0.930496  1.543914  44935.224095  44668.166505  973.239148\n",
       "22      22  3.617072  1.558899  50896.849644  50716.708810  809.370057\n",
       "23      23  3.835150  1.553636  49122.384923  49358.517570  729.696713\n",
       "24      24  1.863271  1.546729  54881.470537  54934.666186  930.027547\n",
       "25      25  3.279571  1.529118  48052.637152  47284.392004  944.828502\n",
       "26      26  4.943690  1.509362  49915.452536  51465.723043  887.201776\n",
       "27      27  4.459081  1.530535  56307.488567  56298.593513  786.905062\n",
       "28      28  4.454356  1.521585  51052.723558  51244.341959  521.350474\n",
       "29      29  4.557906  1.528030  47289.894042  46995.941844  955.052630\n",
       "...    ...       ...       ...           ...           ...         ...\n",
       "1970  1970  0.565406  1.548409  49146.287413  48848.997413  970.897850\n",
       "1971  1971  1.052303  1.549419  45187.327893  45410.990226  998.166355\n",
       "1972  1972  1.125142  1.527200  54670.824965  53255.486411  721.718638\n",
       "1973  1973  2.498285  1.565384  50747.039619  50177.666139  824.016518\n",
       "1974  1974  1.600655  1.504006  43972.355166  44489.841562  766.982716\n",
       "1975  1975  1.298456  1.520615  43866.610367  44358.218142  588.575253\n",
       "1976  1976  3.298537  1.534591  59059.323418  59432.766271  737.016766\n",
       "1977  1977  2.028618  1.546591  46990.544263  44878.175962  971.434631\n",
       "1978  1978  5.203567  1.544121  46086.463822  45944.284211  759.024481\n",
       "1979  1979  5.517559  1.553489  42705.907519  41915.100163  901.379282\n",
       "1980  1980  2.112975  1.540344  40658.778806  41023.472721  790.752402\n",
       "1981  1981  3.938572  1.528104  47194.527678  47301.372632  744.296387\n",
       "1982  1982  6.147279  1.544679  49834.711142  50257.694011  534.631441\n",
       "1983  1983  1.084549  1.528787  46560.436537  46194.836209  970.880414\n",
       "1984  1984  0.374133  1.547322  59774.850200  59821.361405  567.137854\n",
       "1985  1985  0.713046  1.514457  49470.016964  50714.535360  863.686875\n",
       "1986  1986  2.958203  1.514072  41626.868396  42628.838387  649.305006\n",
       "1987  1987  1.228030  1.518143  50445.824993  51095.527469  656.296248\n",
       "1988  1988  6.160311  1.517333  44046.859966  42709.143005  757.399579\n",
       "1989  1989  4.969206  1.516903  56193.011143  55856.076949  732.605961\n",
       "1990  1990  4.133552  1.531663  50448.440849  51165.112663  543.020540\n",
       "1991  1991  3.323801  1.534009  39864.806443  39840.912748  581.445173\n",
       "1992  1992  2.815327  1.522557  49581.056032  48907.204853  963.084617\n",
       "1993  1993  3.391206  1.540465  46061.821061  46172.455664  713.377984\n",
       "1994  1994  1.524687  1.491514  45550.664374  45118.717993  692.033647\n",
       "1995  1995  1.493684  1.537893  51923.413208  52040.770766  755.103793\n",
       "1996  1996  5.753594  1.524159  53966.364983  54065.964776  615.426886\n",
       "1997  1997  0.078580  1.534210  47116.233065  46800.898029  545.232907\n",
       "1998  1998  6.263557  1.531914  54584.148864  54777.091985  948.563491\n",
       "1999  1999  2.250322  1.546609  47102.363656  46841.750151  568.559269\n",
       "\n",
       "[2000 rows x 6 columns]"
      ]
     },
     "execution_count": 188,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Some names for star samples, currently just consecutive integers\n",
    "sampled_ids = pd.Series(list(range(0, N_prior)))\n",
    "\n",
    "# A pandas DataFrame for all prior data\n",
    "data_prior = pd.DataFrame(sampled_ids, columns=['ID'])\n",
    "\n",
    "# Sample N_prior stars and save to our DataFrame\n",
    "data_prior['ra'], data_prior['dec'], data_prior['r_true'] = \\\n",
    "    sample_stellar_distribution(N_prior)\n",
    "    \n",
    "# Make up an error on r and pull the stars from said error\n",
    "r_errors = (1000 - 500) * np.random.rand(N_prior) + 500\n",
    "data_prior['r_exp'] = (data_prior['r_true'] \n",
    "    + np.random.normal(loc=0, scale=1, size=N_prior) * r_errors)\n",
    "data_prior['r_sigma'] = r_errors\n",
    "\n",
    "# Have a peek to make sure this worked\n",
    "data_prior"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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LzXNQRlNoSZRpdqKUKFNsDjNENmT56gp1CWfPnmUjKl0LTd/lWysDlCo42fTo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\nLJFIJOOE/wdndBeZbkURkAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A plot of the prior\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "ax.scatter(data_prior['r_exp']*np.cos(data_prior['dec'])*np.cos(data_prior['ra']), \n",
    "           data_prior['r_exp']*np.cos(data_prior['dec'])*np.sin(data_prior['ra']), \n",
    "           data_prior['r_exp']*np.sin(data_prior['dec']), 'bo', alpha=0.1)\n",
    "ax.scatter([0],[0],[0], 'ro')  # Gaia!\n",
    "\n",
    "ax.set_xlabel(\"x\")\n",
    "ax.set_ylabel(\"y\")\n",
    "ax.set_zlabel(\"z\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "### Define a ParallaxPrior class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": [
    "class ParallaxPrior:\n",
    "    \"\"\"The following class should be created for each type of prior. It stores \n",
    "    information about the stars' prior on parallax, which is dependent on its\n",
    "    right ascension and declination in 3D space.\n",
    "    \n",
    "    The class was coded with a philosophy of having lots of values kept in\n",
    "    class-wide dictionaries. This means that they can easily be accessed and\n",
    "    checked.\n",
    "    \n",
    "    N.B. All inbound angles must be in radians. \n",
    "    \"\"\"\n",
    "    \n",
    "    def __init__(self, ra=0, dec=0, r=0, r_sigma=0, prior_type='finite_cloud'):\n",
    "        \"\"\"Initialisation of the class. Makes some local copies of things\n",
    "        we'll be needing for the duration of our stay.\n",
    "        \"\"\"         \n",
    "        # A boolean to record whether the user changed boundary behaviour\n",
    "        self.set_boundaries_to_zero = True\n",
    "        \n",
    "        # Set the type of prior            \n",
    "        if prior_type == 'finite_cloud':\n",
    "            self.prior_mode = prior_type\n",
    "            \n",
    "            # Keep a local copy of the locations of stars to consider for priors,\n",
    "            # converted into cartesians to make later maths easier\n",
    "            self.distribution = np.zeros((ra.size, 3))\n",
    "            self.distribution_r = np.asarray(r.copy())\n",
    "            self.distribution_sigma = np.asarray(r_sigma.copy())\n",
    "\n",
    "            # Calc x, y, z\n",
    "            self.distribution[:, 0] = np.cos(dec) * np.cos(ra)\n",
    "            self.distribution[:, 1] = np.cos(dec) * np.sin(ra)\n",
    "            self.distribution[:, 2] = np.sin(dec)\n",
    "\n",
    "            # Initialise class-wide copies of histogram information\n",
    "            self.bin_widths = {}\n",
    "            self.bin_numbers = {}\n",
    "            self.bin_centres = {}\n",
    "            self.prior_histograms = {}\n",
    "            self.filtered_histograms = {}\n",
    "            self.fits = {}\n",
    "            self.fast_access_fits = np.zeros(1)\n",
    "            \n",
    "            # Set evaluate_multiple_priors to the right thing:\n",
    "            self.evaluate_multiple_priors = \\\n",
    "                self.evaluate_multiple_priors_finite_cloud\n",
    "            \n",
    "        elif prior_type == 'decreasing_space_density':\n",
    "            self.prior_mode = prior_type\n",
    "            # Just set the prior evaluation function to use a decreasing volume\n",
    "            # density\n",
    "            self.evaluate_multiple_priors = \\\n",
    "                self.evaluate_multiple_priors_decreasing_space_density\n",
    "                \n",
    "        else:\n",
    "            raise TypeError('specified prior_type not supported.')\n",
    "            \n",
    "    def make_histograms(self, ID, ra, dec, beam_width, \n",
    "                        user_set_boundaries_to_zero=True, boundary_points=5):\n",
    "        \"\"\"Uses a Gaussian beam to sample histograms from stellar_distribution \n",
    "        and saves the results of these histograms.\n",
    "        \"\"\"\n",
    "        # Quit if this function isn't actually needed. We raise an error, \n",
    "        # because it shouldn't be getting called.\n",
    "        if self.prior_mode != 'finite_cloud':\n",
    "            raise TypeError('only the finite_cloud prior_type is currently supported by plot_priors.')\n",
    "        \n",
    "        # Record the users' boundary preferences in the class-wide boolean\n",
    "        self.set_boundaries_to_zero = user_set_boundaries_to_zero\n",
    "        \n",
    "        # Firstly, we create an array of beam unit vectors in Cartesians.\n",
    "        # Later vector maths is much easier in arbitraty Cartesians centred on\n",
    "        # Gaia, so we make the change now so my head hurts less later :)\n",
    "        test_stars = np.zeros((ID.size, 3))\n",
    "        test_stars[:, 0] = np.cos(dec) * np.cos(ra)\n",
    "        test_stars[:, 1] = np.cos(dec) * np.sin(ra)\n",
    "        test_stars[:, 2] = np.sin(dec)\n",
    "        \n",
    "        # Calculate angles between test stars and the distribution with a fancy\n",
    "        # formula from: https://stackoverflow.com/questions/2827393/angles-between-two-n-dimensional-vectors-in-python/13849249#13849249\n",
    "        # This is done with a fast matrix method too because BATDOG is too cool\n",
    "        # for for loops\n",
    "        angles_between = np.arccos(np.clip(test_stars @ self.distribution.T, \n",
    "                                           -1.0, 1.0))\n",
    "        \n",
    "        # Calculate the distance from and along the beam of each star, and use \n",
    "        # this to compute a weight value for the star from a Gaussian of \n",
    "        # standard deviation beam_width\n",
    "        distances_from_beam = self.distribution_r * np.sin(angles_between)\n",
    "        distances_along_beam = self.distribution_r * np.cos(angles_between)\n",
    "        star_weights = norm(0, beam_width).pdf(distances_from_beam)\n",
    "        \n",
    "        # Loop over all the test stars and make some absolutely-sick-stograms.\n",
    "        # Unfortunately, this has to be done with a for loop, since astropy's \n",
    "        # Knuth rule and numpy's histogram methods both only take 1D data. \n",
    "        # Also, it's quite naughty to use Knuth's rule on a weighted histogram. \n",
    "        # However, I couldn't find a bin rule for weighted histograms, and it \n",
    "        # comes up with the best guesses anyway regardless of the weighting.\n",
    "        i = 0\n",
    "        for test_star, an_ID in zip(distances_along_beam, ID):\n",
    "            # Calculate optimal bin widths using Knuth's rule\n",
    "            self.bin_widths[an_ID] = knuth_bin_width(test_star)\n",
    "\n",
    "            # Convert said bin width into a number of bins\n",
    "            self.bin_numbers[an_ID] = int(((test_star.max() - test_star.min()) \n",
    "                                       / self.bin_widths[an_ID]))\n",
    "\n",
    "            # Calculate the resulting prior histogram for this \n",
    "            self.prior_histograms[an_ID], bin_edges = np.histogram(\n",
    "                                                test_star, \n",
    "                                                bins=self.bin_numbers[an_ID], \n",
    "                                                weights=star_weights[i])\n",
    "            \n",
    "            # Set the boundaries of the histogram to zero. This is... \n",
    "            # *technically* extrapolation, but... it's also, like, necessary.\n",
    "            # We do this for boundary_points points opposed to just one,\n",
    "            # because a well-defined and long boundary behaves better with the\n",
    "            # filtering methods.\n",
    "            if self.set_boundaries_to_zero:\n",
    "                # Boundary_array forces the inserted/appended values to be an\n",
    "                # array of length boundary_points, giving us our desired number\n",
    "                # of zero points.\n",
    "                boundary_array = np.arange(1, boundary_points + 1)\n",
    "                bin_edges = np.append(\n",
    "                    np.insert(bin_edges, 0, \n",
    "                        bin_edges[0] - boundary_array*self.bin_widths[an_ID]),\n",
    "                    bin_edges[-1] + boundary_array * self.bin_widths[an_ID])\n",
    "                \n",
    "                self.prior_histograms[an_ID] = np.append(\n",
    "                    np.insert(\n",
    "                        self.prior_histograms[an_ID], 0, 0.0 * boundary_array), \n",
    "                    0.0 * boundary_array)\n",
    "                self.bin_numbers[an_ID] += boundary_points * 2\n",
    "            \n",
    "            # Convert bin edges (meh) into bin centres (yassss!) by finding the\n",
    "            # mean value between each point with a clever array thing that I'm\n",
    "            # actually proud of thinking of yay\n",
    "            self.bin_centres[an_ID] = (bin_edges[1:] + bin_edges[:-1]) / 2\n",
    "            i += 1\n",
    "        \n",
    "    def fit_priors(self, ID, filter_window_size=5, filter_polynomial_order=3,\n",
    "                  fit_type='slinear'):\n",
    "        \"\"\"Fits cubic splines to a filtered version of the histogram data.\n",
    "        We filter using a Savitzky-Golay filter, which helps to smooth out \n",
    "        input data. Then, interpolation is performed by \n",
    "        \"\"\"\n",
    "        # Quit if this function isn't actually needed. We raise an error, \n",
    "        # because it shouldn't be getting called.\n",
    "        if self.prior_mode != 'finite_cloud':\n",
    "            raise TypeError('only the finite_cloud prior_type is currently supported by plot_priors.')\n",
    "            \n",
    "        # Apply filters and interpolate a fit\n",
    "        for an_ID in ID:\n",
    "            # Calculation of derivatives (the deriv kwarg) at points causes mad \n",
    "            # fuckery (it makes things WORSE) so don't do it\n",
    "            self.filtered_histograms[an_ID] = savgol_filter(\n",
    "                                                self.prior_histograms[an_ID], \n",
    "                                                filter_window_size, \n",
    "                                                filter_polynomial_order, \n",
    "                                                deriv=0)\n",
    "            \n",
    "            # Check that none of the filter results are negative (the Savgol\n",
    "            # filter knows not of probability being +ve only.) We also make \n",
    "            # sure the boundaries are still zero.\n",
    "            self.filtered_histograms[an_ID][0] = 0.0\n",
    "            self.filtered_histograms[an_ID][-1] = 0.0\n",
    "            self.filtered_histograms[an_ID] = np.where(\n",
    "                                self.filtered_histograms[an_ID] < 0, \n",
    "                                0.0, self.filtered_histograms[an_ID])\n",
    "            \n",
    "            # Use scipy's cubic interpolation to create a cubic fit function\n",
    "            # for every star. Note that this fit is done in parallax space\n",
    "            # (hence the one over), NOT r-space! This makes calls to these\n",
    "            # functions faster as there aren't any conversions.\n",
    "            self.fits[an_ID] = interpolate(1 / self.bin_centres[an_ID] * 1e3, \n",
    "                                           self.filtered_histograms[an_ID], \n",
    "                                           kind=fit_type,\n",
    "                                           bounds_error=False,\n",
    "                                           fill_value=0.0)\n",
    "            \n",
    "    def plot_priors(self, ID, r_min=30000, r_max=70000, \n",
    "                    true_distribution=False, ra=0, dec=0, test_points=100):\n",
    "        \"\"\"Plots the histograms for a set of *ID* histograms. Can also be\n",
    "        plotted against a true distribution by specifying the location of\n",
    "        the function with true_distribution.\n",
    "        \"\"\"\n",
    "        # Quit if this function isn't actually needed. We raise an error, \n",
    "        # because it shouldn't be getting called.\n",
    "        if self.prior_mode != 'finite_cloud':\n",
    "            raise TypeError('only the finite_cloud prior_type is currently supported by plot_priors.')\n",
    "        \n",
    "        # Range of r values to plot over\n",
    "        r_range = np.linspace(r_min, r_max, num=test_points)\n",
    "        \n",
    "        # Loop over all the stars\n",
    "        for an_ID, array_index in zip(ID, range(ID.size)):\n",
    "            plt.figure(figsize=(8, 6))           \n",
    "            # The prior histogram values\n",
    "            plt.plot(self.bin_centres[an_ID], self.prior_histograms[an_ID], \n",
    "                     'k--', lw=1, label='Prior')\n",
    "            \n",
    "            # The filtered prior\n",
    "            plt.plot(self.bin_centres[an_ID], self.filtered_histograms[an_ID], \n",
    "                     'g--', lw=1, label='Filtered prior')\n",
    "            \n",
    "            # The spline fit to the filtered data\n",
    "            # Get values of the spline. This is done in a for loop call so that\n",
    "            # any errors arising from invalid input parallaxes can be caught.\n",
    "            fit_results = np.zeros(test_points)\n",
    "            for a_point in range(test_points):\n",
    "                fit_results[a_point] = self.evaluate_a_single_prior(\n",
    "                                            an_ID, 1 / r_range[a_point] * 1e3)\n",
    "                \n",
    "            plt.plot(r_range, fit_results, 'b-', lw=1, ms=0, \n",
    "                     label='Spline fit to filtered data')\n",
    "            \n",
    "            # Plot the real distribution if requested\n",
    "            if true_distribution != False:\n",
    "                # Work out Cartesian unit vectors for each star\n",
    "                u_x = np.cos(dec[array_index]) * np.cos(ra[array_index])\n",
    "                u_y = np.cos(dec[array_index]) * np.sin(ra[array_index])\n",
    "                u_z = np.sin(dec[array_index])\n",
    "                \n",
    "                # Work out appropriate x, y, z ranges for the star\n",
    "                x_range = np.linspace(r_min*u_x, r_max*u_x, num=test_points)\n",
    "                y_range = np.linspace(r_min*u_y, r_max*u_y, num=test_points)\n",
    "                z_range = np.linspace(r_min*u_z, r_max*u_z, num=test_points)\n",
    "                \n",
    "                # Plot the true distribution on the figure\n",
    "                dist_to_plot = true_distribution(x_range, y_range, z_range)\n",
    "                normalisation_factor = (self.prior_histograms[an_ID].max() \n",
    "                                        / dist_to_plot.max())\n",
    "                plt.plot(r_range, dist_to_plot * normalisation_factor, \n",
    "                         'r-', lw=1, label='True distribution')\n",
    "            \n",
    "            # Final bits of plot formatting\n",
    "            plt.legend()\n",
    "            # plt.ylim(0, kDist.max()*1.1)\n",
    "            plt.xlim(r_min,r_max)\n",
    "            plt.ylabel('Probability')\n",
    "            plt.xlabel('Distance (pc)')\n",
    "            \n",
    "            plt.title('Parallax prior (in distance space) for star {}'\n",
    "                      .format(an_ID))\n",
    "            plt.show()\n",
    "        \n",
    "        # Show everything at once at the end\n",
    "        #plt.show()\n",
    "    \n",
    "    def evaluate_a_single_prior(self, an_ID, a_parallax, scale=False):\n",
    "        \"\"\"Evaluates a single prior at a single location for star ID. This \n",
    "        method is inherently slower than evaluate_multiple_priors.\n",
    "        \"\"\"\n",
    "        if self.prior_mode == 'finite_cloud':\n",
    "            # Work out the fit and return zero if we accidentally hit a -ve val\n",
    "            result = self.fits[an_ID](a_parallax)\n",
    "            if result < 0.0:\n",
    "                result = 0.0\n",
    "            return result\n",
    "        \n",
    "        elif self.prior_type == 'decreasing_space_density':\n",
    "            # Return exponent of the log decreasing space density prior\n",
    "            return np.exp(self.evaluate_multiple_priors(a_parallax, scale))\n",
    "        \n",
    "        else:\n",
    "            raise TypeError('current prior_type is not supported by evaluate_a_single_prior.')\n",
    "        \n",
    "        \n",
    "    def prep_for_fast_running(self, ID):\n",
    "        \"\"\"Must be called before evaluate_multiple_priors. Selects only desired \n",
    "        IDs and sets their fit functions up in a fast framework that can be \n",
    "        called during emcee running quickly and efficiently.\n",
    "        \"\"\"\n",
    "        # Quit if this function isn't actually needed. However, we keep it\n",
    "        # callable regardless of prior type as it's in a lot of places around\n",
    "        # the code.\n",
    "        if self.prior_mode != 'finite_cloud':\n",
    "            return 0\n",
    "        \n",
    "        # Cast ID as a single-element array if it's a float\n",
    "        ID = np.asarray(ID)\n",
    "        \n",
    "        # Create an empty numpy array that stores object pointers to each fit \n",
    "        # function\n",
    "        self.fast_access_fits = np.empty(ID.size, dtype=object)\n",
    "        \n",
    "        # Loop over the dictionary (has to be done with a for loop sadly) and\n",
    "        # pop required fit functions into fast_access_fits\n",
    "        for an_ID, i in zip(ID, range(ID.size)):\n",
    "            self.fast_access_fits[i] = self.fits[an_ID]\n",
    "            \n",
    "    def evaluate_multiple_priors_finite_cloud(self, test_omegas):\n",
    "        \"\"\"Fast evaluation of fit functions at all successful points. Must be\n",
    "        called with input parallaxes of the correct shape. \n",
    "        \n",
    "        NOTE 1: checking for negative probabilities implied by fits *is not \n",
    "        performed by this function*, and should instead be done on returned \n",
    "        data.\n",
    "        \n",
    "        NOTE 2: hence, logs must also be taken after data is returned.\n",
    "        \"\"\"\n",
    "        # Use numpy vectorize to make a callable fector that takes a function\n",
    "        # object and a function argument as inputs, and returns the result of \n",
    "        # the function call.\n",
    "        function_vector = np.vectorize(lambda f, x: f(x))\n",
    "        return function_vector(self.fast_access_fits, test_omegas)\n",
    "    \n",
    "    def evaluate_multiple_priors_decreasing_space_density(self, test_omegas, \n",
    "                                                      scale):\n",
    "        \"\"\"Returns evaluations of Bailer-Jones IV (2018) specified Milky-Way \n",
    "        prior.\n",
    "        \n",
    "        NOTE: logs happen in the function, as this makes function evaluation\n",
    "        simpler (it would be pointless to raise things to an exponent only to\n",
    "        take a log of them again.)\n",
    "        \"\"\"\n",
    "        return np.where(params[r['omega']] < 0, -np.inf, \n",
    "                      np.log(1/(2 * params[r['L']]**3 * params[r['omega']]**2))\n",
    "                      - 1 / (params[r['omega']] * params[r['L']]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "### Initialise the ParallaxPrior class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
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XFzVP57Bu3bps07Q///zz/O1vf8tSb9q0abk+lrvX+YsvvuDYsWNs2LCBMmXK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\nLM1HzZs3Z+HChQV6DKVKOk0olCouXO7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5xubA6obU1FSmTZvGzBmxLB72LwY1yiG67a1M\n/tNsmDCBD2JvwvvGq/TqW8Jf/uJl9+7dXHPNNVgPhlVZ7969QRaTvkYfIFOqIpU95XG5iFwOrBKR\nz0XkehG5DvgEX8JwStaYiN8D84B04B1jTKqI3Ccil1jVXgKaishW4Hb8nswQkR34Vji9XkSy/Z4Q\n+R3wIrAVXzfMF1b5g8BYEdkCnG+9V6p+crth1y7fUx7A2swsDuYX4XbvDM1ZMiuQlJTEBx98gMPh\n5Z134Pk58dy+5y76J2SyrsMkCv/wHF+v6Ma34fcxemUuacuW+ZKCM9S6dWsidq9ix7ryQ8GUUlD5\nUx4X+23nACOs7f1AVGUnN8Z8Dnxeruwev+1i4BenOLb9KcpXAT0rKD8InPl6xkrVJVlZkJQEEb5p\nnucv30ejNsfYvz9XEwpL06ZNadSoEZmZmSQnJzN0KHz/PXz2WSS/nDWd+LOn8/Vre3HM/wRee43h\n8+cT2aMHHDgAzZpV+fNEhK9WPMGIlFL27XORlBSEi1KqHqtsLY8zG72klKqek57wKKR1Mtxyyy24\n3SG0dHklRo0axa5du0i2Bq+KwMSJcNFF4PWC09kSOk2H6dNJ/+ILur/6KnTtCrfcArfdBrGxVfo8\nU+LB3XQd6emDSUo6s64TpRqqQJ/yiBSRm0XkaRF5+fgr2MEpFbLKJRTunC6MGtCC9PR0ysrKbAys\nbpk9ezajRo06qVwEnOUmw+w0dCjN3n4bli+H9HTo3BneeadKn7dh+QZMQgZrUisbQqZU6Al0UObr\nQBIwDvgO39MV+hulVLCUSyiO7mrLJed1YubMmWzYsMHGwOqW7du38+ijlc+7d+zYMZKSknzJWKdO\n8Oab8MkncOut8P77AX9enz59cEZnsmZjQXXCVqpBCjShSDbG/BUotNbwuAgYFLywlApxfnNQGGNY\ntOogrTvlkZurYyj8uVwuHnzwQXJyck5bLzU1lc6dOxMWFvZTYUoKfPYZ3HQTfP11QJ/Xo0cPWLOF\ngr06gEKp8gJNKI7fYz0sIj3xzReh32pKBYvfHYpNOw9iPE66tk/QhKKcNm3acNNNN9GrV6/TPk67\nbt26imfIPOcc+OADuPpq+OGHSj8vJiaGGf+8jLWpukiYUuUFmlA8b63e+Vd88z2k8dNCXkqpmmTM\nzxKKBat2E9MqG4dDeOCBB854YqaGSET4xz/+wZdffkmXLl3Yt28fmZmZJ9VLSkri8ssvr/gkw4bB\na6/BpEmwfn2ln5k8RNi9MwKPp7rRK9WwBJRQGGNeNMbkGWO+M8Z0NMa0MMY8F+zglApJOTkQFQXx\n8QBs3xpOcmcPXq+X66+/Hpersqe9Q0+/fv1o27Yty5cvZ9CgQTz++ON4/P7Fv+iii5g0adKpT3Dh\nhfDEE76fuaefZHf1V4sw0blkZdVU9Eo1DIE+5dFURJ4UkTUislpE/i0i+meSUsFQbkCmM68bvxje\nh7S0tDNe2CpUXHrppfzwww/MnTuXsWPHYozBGEP//v0pKKhkIOXkyXDllXDffaetNrz3cEyTDFLT\ndZEwpfwF2uUxB9/aGFfgmyL7APB2sIJSKqSVSyg+XJxGRIud5OaG+LLlAUpOTmbBggU8+eSTiAhP\nP/00e/bsITaQOSf++ld4+23YvPmUVfr16UdUwS62bXWeso5SoSjQhKKlMeYfxpjt1ut+TrE8uFKq\nmsolFDu2hdGlCzogswpEhB49elBSUsKCBQsYOnRoYAc2awZ33gkzZ56ySvv27enXO471qcdqKFql\nGoZAE4qvRGSKiDis11X41uhQStW0rVtPPDKaf+wYZQfbMqJfa5o0acKIESMqOVj5i4iI4P333+e9\n994L/KA//hFWr4bFiyvc7XA4SBx5lEXrTv+oqlKhprLFwfJF5ChwI/AmUGq95gDTgx+eUiFoyxbf\nLI7A0g27CYs/SFyMiwsuuIDf/e53NgcXAqKi4P77fXcqTrH4cV7OcrK2RNRyYErVbadNKIwxccaY\neOunwxjjsl4OY0x8bQWpVMgwxtd/f/bZAHgOJDOiXysAHnnkEebN0xuDteKaa6C0FN59t8LdfTrG\nU3KkOaU6LlOpEwLt8kBELhGRR63XxGAGpVTIOnAAHA6w5pr49IcMmrTZD8CSJUsoLNQJlWqFwwGP\nPAKzZkFJyUm7x/UbjStqDxVMeaFUyAr0sdEHgVvwTWiVBtwiIg8EMzClQpLf3QmAr5ZnEZG4E9BB\nmbVuzBjo0gWeO3nKnXPPOZfGUQfJyKi4S0SpUBToHYoJwFhjzMvGmJeB8fjW81BK1SS/8RMAOVnx\nDOydAPgSio4dO9oVWWi65x548smTxlI0atSImP7ZzFuxzabAlKp7Au7yABL8thvVdCBKKX6WUHiN\nl8K9rRmV4htDsXnzZlq1amVndKFn0CBwuWDJkpP3hW1h0Q+nn1VTqVASaELxALBWRF4VkdnAauCf\nwQtLqRDl1+VRWAjhpa3o2imGb7/9lgULFtgcXAgSgV//Gl555aRdCfH7ydoebkNQStVNlSYUIiLA\nYmAw8AHwPnCuMUZnylSqpvndoVixPo+zOrhxOmH27Nls2bLF5uBC1LXX+lYkLTd194i+LSna38am\noJSqeypNKIwxBvjcGLPXGDPXeu2rhdiUCi3G/CyhmD1/GZ7GaYDvCY+AZ3tUNSspybciabnJsaZP\nuBBPUQL64I1SPoF2eawRkQFBjUSpULdnD8TFnVhlNH2Tm05ne9i/fz+5ubn06NHD5gBD2LRpJ3V7\ndO16NrGtc9iYXmxTUErVLYEmFIOAZSKyTUTWi8gGEVkfzMCUCjnlnvDYmRlFn+5RNGvWjNTUVJxO\nXYzKNhMnQnq6b1p0i8PhoCw+nQ+/TrUxMKXqjkATinFAR2A0cDEw0fqplKop5eagiM0/hzED2rB4\n8WK8Xq+NgSnCw32zZ7766s+Kw2K3s2DJLntiUqqOqWwtj0gRuRW4C9/cE7uNMTuPv2olQqVChd8d\nCo/Xy8FdzUjpFc+MGTN0QGZdMG0azJ4NHs+JojZtjrFzhz7poRRUfodiNpACbAAuBB4LekRKharN\nm08kFF/8uJoiz1FiYopZt24dgwYNsjk4Re/e0KIFzJ9/oujGYSMo3tXWxqCUqjsqSyi6G2N+aYx5\nDrgSOK8WYlIqNG3ZcqLLY9GaXBq3yWX16tV069aNmJgYm4NTwElzUowY1xI3OnupUlB5QlF2fMMY\n4w5yLEqFLo8Htm+HTp0A+DG1iLYdiunatSvPPvuszcGpE6ZOhS++gMOHAejQIZqiYi87dhyxOTCl\n7FdZQtFHRI5ar3yg9/FtETlaGwEqFRKysqB5c4iOBqA0twP9e8WQm5tL7969bQ5OndCkiW9OCmsZ\n+cZRCUiTLbz89iKbA1PKfqdNKIwxTmNMvPWKM8a4/LbjaytIpRq8co+MxhekcMHADgwfPpz9+/fb\nGJg6yUUXwaefnngb2SSb71ftsTEgpeqGqiwOVmUiMl5EMkRkq4jMrGB/hIi8be1fLiLt/fbNssoz\nRGScVdZFRH70ex21nkJBRP4uIrv99k0I5rUpVaP8EooSdwnfrNxFePh2YmJiaN26tc3BqZ+56CJf\nt4f1tMfQTs3JSU+o5CClGr6gJRQi4gSewvd0SHdgqoh0L1ftBiDPGJMMPA48ZB3bHZgC9MD3uOrT\nIuI0xmQYY/oaY/oC/YEi4EO/8z1+fL8x5vNgXZtSNc5vDor03C0c29+CPXsW6XTbdVG7dtC6NSxf\nDsDoEW2IbnSOzUEpZb9g3qEYCGw1xmQaY0qBOcCl5epciu/RVID3gDHWYmSXAnOMMSXGmO3AVut8\n/sYA23Q+DNUg+N2hWLQui6jGh+nXrxu//e1vbQ5MVciv2yOmYxabdznw+M1PoVQoCmZC0Rrwn0Iu\n2yqrsI71FMkRoGmAx04B3ipX9ntravCXRaRx9cJXqhb5zUGRmu4h6ax8evXqxXnn6ZPaddLEifDZ\nZwCMHtCKgr0tWbNmnc1BKWWvoI6hCBYRCQcuAd71K34G6AT0BfZyikm4RGS6iKwSkVU62E3VCWVl\nkJ0NHX3zGXSRixndtzVt27bVKbfrqkGDfIu5ZWXRrVU7iNnPvPkZdkellK2CmVDsBvynkGtjlVVY\nR0RcQCPgYADHXgisMcbkHC8wxuQYYzzGGC/wAid3kRyv97wxJsUYk9K8efMzujClatT27b4++XDf\nFM7vfreBUrOBfv364XDUy5y/4XM6Yfx4+OwznA4niS3yWLZM56JQoS2Y31Yrgc4i0sG6ozAFmFuu\nzlzgOmv7SmCBMcZY5VOsp0A6AJ2BFX7HTaVcd4eItPR7exmwscauRKlg8huQ6TVelq8poqhomQ7I\nrOv8uj1G9U/EJT1tDkgpe7mCdWJjjFtEfg/MA5zAy8aYVBG5D1hljJkLvAS8LiJbgUP4kg6seu8A\naYAbuNkY4wEQkRhgLPCbch/5sIj0BQywo4L9StVNfgMysw5nY3J7MLj/RoYPP9fmwNRpjRsHN94I\nRUUUtFpFdlobuyNSylZBSygArEc3Py9Xdo/fdjHwi1Mc+0/gnxWUF+IbuFm+/NrqxquULTZvhu6+\nJ6oXrtlJeGwEd9xxg81BqUolJEC/frBwIX17hTPvDS/79u0jKSnJ7siUsoV20CplN79FwSIODKRX\nZ8PUqVNtDkoFZOJE+PRThqc0pywvmXXr1tsdkVK20YRCKbv5dXl8u/wQkdEZNGvWzOagVEAuugg+\n+4xByZ1wutwsXrzN7oiUso0mFErZ6dgxyMnxzb4IfPDtNnLLvtIBmfVF164QFkb85p10buchK0uX\nmVehSxMKpey0ZYtv/gmXbzjT4Z1taRGbowlFfSFyYtbMiE6ZNO40xO6IlLKNJhRK2Skt7cSAzJ05\neXjym7Fw7gu0bdu2kgNVnTF+PHz9NTGtsnj7g/W43W67I1LKFppQKGUnv4RiU2o4SW0O8sorL9oc\nlKqS886DlSvp38Wwf28zMjMz7Y5IKVtoQqGUnfwSivTUMOLDdlBSUmJzUKpK4uKgZ08uCd+HKehK\nWlqa3REpZQtNKJSyU3r6iYTi1S/Xsifqcx0/UR+NHMmYA3m43PGsXq13KFRo0oRCKbuUlUFm5ok5\nKHZujgf3Bnr16mVzYKrKRo5Evl1Ii46HOGfo1XZHo5QtNKFQyi5bt0KbNhAZidcLR7La8dWHj+Jy\nBXUCWxUMw4bB6tVENv6RZ+Z8a3c0StlCEwql7OI3fmLbNkNETAHkHbY5KHVGYmOhVy8uTUhn/qI9\nuuy8CkmaUChlF7+EYv16IVq2UnCkwOag1BkbOZJJji3g7saOHTvsjkapWqcJhVJ28RuQ+c43GRxO\n+J7BgwfbHJQ6Y6NGcc6+VCL299UnPVRI0oRCKbukpUG3bgCsWHmM2FbbiIuLszkodcaGDCF601rC\n3THEtUm0Oxqlap0mFErZwePxLVvetSsAOTuTuOvmC2wOSlVLbCzSpw+jG3/B/xavtDsapWqdJhRK\n2WH7dmjRAmJjOXTIQ/HROG4YN9LuqFR1jRzJBWELeOvDtXZHolSt04RCKTv4jZ949tklRIdtJymh\nuc1BqWobOZKx3rUUFp6FMcbuaJSqVZpQKGUH6wkPYwyPvfcVXfqXIiJ2R6Wqa8gQzjqURkLG2WRl\nZdkdjVK1ShMKpexgDchMTU3lcFl7RoxJsDsiVRNiYijt1pfzxUluca7d0ShVqzShUMoO1h2KhHYJ\nOI705ZIRZ9kdkaohEeNG0u/ISt7a9p7doShVqzShUKq2eb2Qns660lJm/edu2N+Tvn2cdkelaohr\n7ChGOxfw2ofL7Q5FqVqlCYVStS07Gxo14p9PPUXS0TGc1TqCBO3xaDjOPZfe3lRKdnWg1FNqdzRK\n1RpNKJSqbWlpFLZvz4JvF7D0QCPGjtWnARqU6GgOtenFuctbUOIusTsapWqNJhRK1ba0NHbFxvKL\nW37BuiUtmTBBfw0bmrBRIxhe6OZY4TG7Q1Gq1ug3mVK1zKSm0vWyy2h8TjtKs3szerTdEama1vTS\noQzyruemuX+1OxSlao0mFErVsp3z5jFv1y7mfllIr36FxMTYHZGqac5hQxhslrHwm3y7Q1Gq1mhC\noVQtOnTwIAl79tDzqqsYdOzvTLlMR2M2SM2acTiqKe03NienIMfuaJSqFZpQKFWLZj/0EI6ICLKb\nlvDp524mTtDHRRuqvG59OS8zjILSArtDUapWaEKhVC1qc/Qorp49efijT3F7S48vNqoaoBaXjWBQ\nfhbt4jrZHYpStUITCqVqyeHDh/lFjx5E9e/PN/PCuGC8F12+o+FKvGICI1zLGP/YDLtDUapWBDWh\nEJHxIpIhIltFZGYF+yNE5G1r/3IRae+3b5ZVniEi4/zKd4jIBhH5UURW+ZU3EZGvRWSL9bNxMK9N\nqaooKyujT58+5C1Zwr52TSjNGM2USY3sDksFkZx9NtFSyPav83B73XaHo1TQBS2hEBEn8BRwIdAd\nmCoi3ctVuwHIM8YkA48DD1nHdgemAD2A8cDT1vmOG2WM6WuMSfErmwnMN8Z0BuZb75WqE958802S\nk5NpvHMnsX3H4tx7LmPG6O2JBk2E1PizGLY5jg05G+yORqmgC+YdioHAVmNMpjGmFJgDXFquzqXA\nbGv7PWCM+NZwvhSYY4wpMcZsB7Za5zsd/3PNBibVwDUoVW1er5eHHnqImXfdBRs28O9NhgEDvMTG\n2h2ZCraCPp0ZlHOY3EJdeVQ1fMFMKFoDu/zeZ1tlFdYxxriBI0DTSo41wFcislpEpvvVSTTG7LW2\n9wGJFQUlItNFZJWIrNq/f3/Vr0qpKvJ4PPz5z3/m/Hbt8CYlct/bmYy5QG+Bh4LGE89lSNkqukeM\nq7yyUvVcfRyUOcwY0w9fV8rNIjK8fAVjjMGXeJzEGPO8MSbFGJPSvHnzIIeqFOTn53PllVciP/5I\nTudWOLddxGUXR9odlqoFPX51LV0c27jpsf/YHYpSQRfMhGI30NbvfRurrMI6IuICGgEHT3esMeb4\nz1zgQ37qCskRkZbWuVoCeo9R1Ql33303L7zwAqxdy+KIaCKd0XQvP5pINUixTZuyN6kH3q+3cqDo\ngN3hKBVUwUwoVgKdRaSDiITjG2Q5t1yducB11vaVwALr7sJcYIr1FEgHoDOwQkRiRCQOQERigAuA\njRWc6zrg4yBdl1JVkp6eTrdu3WDtWgripjHxIpc+LhpCFpaUMDTbw7LsZXaHolRQBS2hsMZE/B6Y\nB6QD7xhjUkXkPhG5xKr2EtBURLYCt2M9mWGMSQXeAdKAL4GbjTEefOMiFovIOmAF8Jkx5kvrXA8C\nY0VkC3C+9V4p223atImuXbrgXbuGdzIGcNUkXbwjlBztlcSg/AzWZmXYHYpSQeUK5smNMZ8Dn5cr\nu8dvuxj4xSmO/Sfwz3JlmUCfU9Q/CIypZshK1SiPx8M111xDa6+XIrzMT23JB2PtjkrVpohRQxj0\n3SOEO+bZHYpSQVUfB2UqVW84nU4ee+wx5Mcf+TG2Nb0HHyAqyu6oVG0adeWVHIlJ5K2nXsLj9dgd\njlJBE9Q7FEqFujfeeIPU1FTuD3OxqKgH103W2TFDTffu3ckcNJKoxZtI259Gr8RedoekVFDoHQql\ngmjdunXExsbiXrWWDQWXc/UVmlCEGmMMj/3wAYMOZvNN2mq7w1EqaDShUCqIjj/hUbp8LfTpT9Om\ndkekapuIsK9ja4Y5l/Dhx2V2h6NU0GhCoVQQxcTE0KtVK7yH82h6gdfucJRNYs85h3gppH3qaLtD\nUSpoNKFQKojmzJlD05xsfjS9+cP1HewOR9lk/IUXktetC97FK9l3KN/ucJQKCk0olAqSbdu28be/\n/Y2Vb8wjNaYLnTuG2x2SssnUqVNpN/lyhkbP5am3ttodjlJBoQmFUkGyZs0a1q9fT+zqA4QN1rm2\nQ9mBAweY9emnjApbxccfOe0OR6mg0IRCqSDZtGkTZ3fpQousdM77P11tMpQ1btyY51evJvnILrYt\nbkFxiY6nUQ2PJhRKBcnmzZvBeRatynZw9iS9QxHKnE4n7bp2pbhjR65ot5aFC+2OSKmapwmFUkHy\n6quvUrbRyfZGbZDwMLvDUTZLSUkhp1MnpnX6kf+8kmV3OErVOE0olAoCr9fLK6+8gizZy7HeyXaH\no+qAF154gU6//CUpJUv5+vMYUnM22R2SUjVKEwqlgmDXrl385S/P0vPoDpIvHm53OKoO2L59O69v\n20bc+mU0a+7mr7M/r/wgpeoRTSiUCoL09HSaNLmK4bEbSBg6wu5wVB1QWlrKvS+9BNHR3HbBPj7/\nJJL8Ep2TQjUcmlAoFQSbNm3iEN1ok78Reve2OxxVB3Tq1Indu3fjHjiQa9qsp9nO6cSGx9kdllI1\nRhMKpYJg0qTLaJcVzbFWSRAba3c4qg5wuVwkJyezt2NH2mQtJTrSyR+ef1OXNFcNhiYUSgXB6vVF\nnOv9ntixunaD+skXX3xB0uWXI0uX8Ic/CG+9kMQnmz+xOyylaoQmFEoFwa9umM34uEW4ho+0OxRV\nhxhj+GrvXszOnUy77DBlmUN48JN37Q5LqRqhCYVSNezgwYOU5g1jRFkGDBtmdziqDiksLORv99/P\nCo+H7x76K9NvSxJeigAAHopJREFUgNS5F7Dz8E67Q1Oq2jShUKqGbdy4iTaOtoS53NBBVxhVP+na\ntSsrV66k5RVXUPDVV/ziylycG35J4Z5Iu0NTqto0oVCqhqXtiOa8qM9xDT8PROwOR9UxIkK7KVOY\n3LYtgwa145xzdtL78me4+sarSU1NtTs8pc6YJhRK1bAFK+HCRt8j551ndyiqrho8GFasALeb//63\nI2H7bmVvUh6TJk2ioKDA7uiUOiOaUChVw774sJShRet1/IQ6taZNoXVr2LCBHj2gf38HazN6sDFt\nI0VFRbz00kt2R6hUlWlCoVQNKiqCiD2taH3sMPTpY3c4qi4bNgyWLAHgvrvj8Sz5I+tzNhIREcGM\nGTPYsmWLzQEqVTWaUChVg177eBvnxsxBBg8Gl8vucFRdNmwYLFoEwKhR0DmxLbnr+tOoUSNuvvlm\nHnjgAZsDVKpqNKFQqgb976O9jIn/CoeOn1CVGTYMFi8GYxCBGTOE6/+YzQ87VnHLLbcwf/588vN1\nrQ9Vf2hCoVQN2rAykcvjcnT8hKpcx45gDOzYAcBVV0GzFqX8ZuZOmjRpwpYtW4iL07U+VP2hCYVS\nNeTAQS+luxNotTMDBg2yOxxV14n8rNtDBN57vQkbPx3OvEX7CQsL47rrriM7O9vmQJUKjCYUStWQ\n779zMDbuM462bAX6l6UKxPFuD0uP5AQm3bKI3/5fFKWlQrNmzXj00UdtDFCpwAU1oRCR8SKSISJb\nRWRmBfsjRORta/9yEWnvt2+WVZ4hIuOssrYislBE0kQkVURu8av/dxHZLSI/Wq8Jwbw2pcp79p2t\n9Ddv49a7EypQ5RIKgPfvv5y+3WO4beZh7rzzTl577TVycnJsClCpwAUtoRARJ/AUcCHQHZgqIt3L\nVbsByDPGJAOPAw9Zx3YHpgA9gPHA09b53MAdxpjuwGDg5nLnfNwY09d6fR6sa1OqIosWhpNSspz4\nCZrLqgD17g27d8OBAyeKRGDGAzt49sVSVqQ6+OMf/0h6erp9MSoVoGDeoRgIbDXGZBpjSoE5wKXl\n6lwKzLa23wPGiIhY5XOMMSXGmO3AVmCgMWavMWYNgDEmH0gHWgfxGpQKyPqMI5QWRDAhQog6/3y7\nw1H1hcvlmzXTmo/iuMFdOzD5rkVcfW0pd951DyNGjMDtdtsUpFKBCWZC0RrY5fc+m5P/8T9Rxxjj\nBo4ATQM51uoeOQdY7lf8exFZLyIvi0jj6l+CUoF54d0dDO4wl6KwMGjVyu5wVH1SQbcHwOt/uZTo\n9mlMmpbJww8/zL333mtDcEoFrl4OyhSRWOB94FZjzFGr+BmgE9AX2As8dopjp4vIKhFZtX///lqJ\nVzV8+zf25prI9aQmJNgdiqpvTpFQuBwuVn40gB1rOhEXdz3PPPMMhw8ftiFApQITzIRiN9DW730b\nq6zCOiLiAhoBB093rIiE4Usm3jDGfHC8gjEmxxjjMcZ4gRfwdbmcxBjzvDEmxRiT0rx582pcnlI+\nXi98Nq+YXge+oahfP7vDUfXNoEGwfr1v3vZy2ic24fHnc7l1ZgTDRlzDk08+aUOASgUmmAnFSqCz\niHQQkXB8gyznlqszF7jO2r4SWGCMMVb5FOspkA5AZ2CFNb7iJSDdGPMv/xOJSEu/t5cBG2v8ipSq\nwBeL9lLi2kmv3VsJv+QSu8NR9U10NPTq5Vt9tAITR7Xg7Is/ZlnqH+jUqUstB6dU4IKWUFhjIn4P\nzMM3ePIdY0yqiNwnIse/dV8CmorIVuB2YKZ1bCrwDpAGfAncbIzxAEOBa4HRFTwe+rCIbBCR9cAo\n4LZgXZtS/l75YBeTOn1JZIcO9Ln4YrvDUfXRKbo9AESE+c9OIM+7h3nLBrB58+ZaDk6pwIjvhkBo\nSklJMatWrbI7DFXPJfVezyvNH6Bfu0gSX3nF7nBUffTxx/DMM/Dll6es8v6Kpdw4oR94p7Jr1/+I\niYmpxQBVQyEiq40xKcE4d70clKlUXXHsGBRs78m5O1ZyzyluWStVqSFD4IcfwOM5ZZUrBg7h6WcN\nx8xjPPfcC7UYnFKB0YRCqWp4+4tshnTaSmTOPtwpQUn6VSho3tz3uPH69aetNvFiL964I9zz/I+U\nlJTUUnBKBUYTCqWq4Yk30xgX/QJpbdpwdvfyE8EqVQWnGUdxXGxEDP/vvmiKj95BfllBLQWmVGA0\noVDqDHm8HjYsa8lk7zpckyZx0UUX2R2Sqs/OOw++/77Sardf14VGkY249e/zayEopQKnCYVSZ+jT\nH5cRdiCJ1mnL6H7bbfTs2dPukFR9NnIkfPutb2KT0xCB//4zkTn/7kxW1q7T1lWqNmlCodQZykvr\nx+97LMLbsydNOnfGc5oBdUpVql07SEiA1NRKq06eHEF4QjzX/uX1WghMqcBoQqHUGfB4Pbw1dz9X\nxywgNyWFtm3b4nQ67Q5L1XejRsGCBZVWczjg8l9vYtE3I3C7NZFVdYMmFEqdge93LuLbb5x03/45\n69q0oVu3bnaHpBqC0aMDSigAXrp/HM6yljzzvi5truoGTSiUOgPPf/UtvdlDGGW4u3VjwoQJlR+k\nVGVGjYLvvoMAliqPCHcxdfoOHvl7ZC0EplTlNKFQqoo8Xg+ffBTB7Z3nIRMnMvHii/n1r39td1iq\nIUhMhDZtYO3agKo//Ic+ZGeE8eVXeUEOTKnKaUKh1BlolfUHLiz9Bi66iF/+8pfs3LnT7pBUQ1GF\nbo+kpKa0Gvwe189YHeSglKqcJhRKVdEHS9YjB0potG0Ne7t148MPP6RJkyZ2h6UaiiokFAB//UNb\ncjb1Z/OOo0EMSqnKaUKhVBW4vW6mPfAZf0r+H94xY7h06lRmzZpFXFyc3aGphmLECFi6FEpLA6p+\n4+QrOWvwcv74z41BDkyp09OEQqkq+H7n93hTr+DKw3MomjyZK664grvvvtvusFRD0rgxdOkCy5cH\nVN3hcDDz5jgWv9sj0BxEqaDQhEKpKnhx/gK6Hy4iLDudwmHDmDFjBiJid1iqoalit8eFA9pQUrie\n52bvD2JQSp2eJhRKVUFS1s3clvAMr2GQsDC7w1ENVRUTirPOOos2Az/iT//MCmJQSp2eJhRKBWjH\n4R18/raL0bveYPTs2SQmJtodkmqohg2D1auhqCjgQ+67KYWSvObM/uL0S6ArFSyaUCgVoLs/eJ4u\nWd8RmdyOsydNsjsc1ZDFxkLfvr7BmQGafNUVXDA5k78/fCiIgSl1appQKBWAvCN5vP+uMDPxTRrf\nfpvd4ahQUMVuj/DwcG6bGsfeFQPZr0MplA00oVCqEh6Phwk3TSB+3ShSDiyAKVPsDkmFgiomFACJ\njZ04HZ9wz6M6lkLVPk0olKrEjBkzKNudxHWHU3FOnOBbYlqpYBs82LeU+ZEjAR/St29fWibP4bmn\nI9iVkx/E4JQ6mSYUSlXAGMPu3bspKyvjSP4RBg55iJujX8fx6+vtDk2FishI3yRXH39cpcNuv3Es\nMR2+5brbtwQpMKUqpgmFUvgSCIDXX3+dSZMmkZiYyOjRo3G5XFxx+2RWPJ9JkiMHxoyxOVIVUq6/\nHl55pUqH3HDDDbz5Uke+/agD69IKgxOXUhXQhEKFrI8++og77riDwYMHc/755wMQERHB1VdfzerV\nq8nIyEBEePCZXfzO+R4RN14HTqfNUauQcvHFsHEjZGYGfEhERAQJxcVcfHEG9/4l5kSyrFSwuewO\nQKlg83q9rFu3jqVLl7J06VJ69OjBn//8ZxYuXEhiYiIPPfQQKSkpAFx11VU/O7ao2E3a7D5c47kD\n+e06O8JXoSwiAqZOhdmz4d57Az7MGMOaJddS7F7LsHse5Pt778Xp0GRYBZeEcvaakpJiVq1aZXcY\nqobl5eWxbNkyli5dysiRIxk6dCgDBw5k4MCBDBkyhJEjR9KxY8eAzvXUM26i/t8d/HpiKTzzTJAj\nV6oCa9fCZZf57lI4Ar+p/Mwzz/DXezZwLPJWbnzuOf494bEgBqnqCxFZbYxJCca59Q6FqteMMWzZ\nsoWlS5cyduxYDhw4wLBhwxgwYABDhgyhRYsWREZGsn796WcPLHGXUOIpIT4insVZi8nMy2TPoUO8\n8LfL2FTyP5i5ppauSKlyzjnH92TRwoVVGsNz00030ajRWzz6r9bMeSOCQW3fYmqvqUEMVIU6TShU\nvVJUVMSqVasYNmwYn3/+OdOmTSM6OpohQ4YwaNAgevbsSV5eHg6ng0PHDpFbmIvXeNmet50vtn5B\nbmEuuYW5TOs7ja7NujLghQHkFuZSVFbEb/r/hicnPMkH6R+wv2g/2V9dzp0RD2MmToSzzrL70lUo\nmzbNNzizioOCr756KsnJhhEj76TJjVswxuhidipotMtDuzzqtEOHDtGkSRPefPNNHnvyMdJ2ptGx\nZ0deffpVOjXpxH9W/IcjHCG3MJfEmEQeH/84N392M8+veZ74iHhaxLRg2Q3L2HRgE6+te40WMS1o\nEdOCccnjaJ/Qni0Ht9AipgUJkQk/+6ItLIT+HfPYWJKMa+0q6NDBxlZQIe/AAUhOhh07zmgelIsv\n3sSXX5bQ6/67ePOGJ+jarGvNx6jqBe3yUA1WTkEOewv2kluYS35JPld0v4I/v/hn5qTOYe/RvXij\nvSz/83IcrRykTkglKS6J2NhY0grSGJA8gKjYKBKcCQxoNYAOjX3/6D94/oP8e/y/CXP+tBrooDaD\nGNRm0Emf36VZlwrjeuop+Eez/+AadKkmE8p+zZrB+efD22/Db35T5cPnzu3KlVdm8NF9/2Fs0fX8\nOOMzmkY3DUKgKpQF9Q6FiIwH/gM4gReNMQ+W2x8BvAb0Bw4Ck40xO6x9s4AbAA/wR2PMvNOdU0Q6\nAHOApsBq4FpjTOnp4tM7FNVX4i7hSMkRCkoLyC/Jp0eLHuQW5rJ011IKSgvI3OqgZekIfnlZItM+\n+eWJLofhZw3n+YufZ/iTw8k4mEHZ4TKi3dFk/zebe1+4l53FOxnUcxB9kvvQK7EX0WHRtXarduVK\nmHLhETI8nXCtXOb7y1Apu332GfzjH7Bs2Rmf4q67DvDiG0LyLb9jxZ/maPdHCKqXdyhExAk8BYwF\nsoGVIjLXGJPmV+0GIM8YkywiU4CHgMki0h2YAvQAWgHfiMjZ1jGnOudDwOPGmDki8qx1bh2W78ft\ndVNQWkBBaQHF7mKSmySz7dA2Uvenkl+ST0FpAZd3u5wSTwmP//C4L0kozWdS10lc1eMqxv1vHFlH\nssgvyadLsy7M/9V8bpt3G++mvUtseCxx4XEsvG4h6buzeeDJHLK/O5/8Pa3o2FG4/64Ieo6+k55d\nF5C7aw3tS9sD0HVDV0YmjWTIeN8YCIC/3fi3Wm8bjwfmzoV//QuysuD9YU/gip+gyYSqO8aNgxtv\nhPR06NbtjE7xyCPNSEwqZMasf/Fs/GqmT0/RqVVUjQnaHQoRORf4uzFmnPV+FoAx5gG/OvOsOj+I\niAvYBzQHZvrXPV7POuykcwIPAvuBJGOMu/xnn0qX2JbmuV7X18DV2scAK7euwjgcRDiiKHN7cUkY\nxY4iEA9OEby4iZFoCqQAAAcOvHiJJYZCU4hxGJweJ2EmCo/bhXjCKDUgHhcxrjBKpYCwcCgsOwzG\nS2JkIoWlhRABxcdKcJdBvLMp4KIEKD3aAhOxk5i4THqcFUlm6RYwzTmQ2RYKu9OiWQkm8gDHvMdO\nXEdyi84Ul5aQfWg3GMHgoGlME1okNGfTnnQQLwCRrijaN+/IztwsikqLMR4nXk84zWNbc7SghMLi\nYhyuUhyuUhIbx5PYtFGlX5geL2zeDNFRMHAgdOkCjpdfhMWLfW+UqitmzIDVq2HAgGqd5rvvDvDD\n8giMiSIsughnVD5xrjIcDi/5kk9UZBRhrjDK8t2EeaMoMMdwOMIID4+irKSUCK+TUjmG21lCfHws\npaUlhBWH4cFLkRQSEx2DOARPvptwIjgqRwkPDycyMpLigmIiPZEUUYTH6SUuNpbi4mIiSiIoo4xj\ncozY2FiM12AKDU6c5Es+kRGRREREUHy0mEgTSaEUgFOIiYmh+FgxkaWRlFBCsRQTHxeP212GFDkQ\nhAIpICrKd00lR0uIJJJ8yccZ5iQ6KpriomIiyyI5xjHKpIz4+HhKSnzX5MVDoRT97JqaxTcnoZ6u\n6TNq2YP17w4F0BrY5fc+GyjfiX2ijpUIHMHXZdEaWFbu2NbWdkXnbAocNsa4K6j/MyIyHZgO0D6y\nOcTHV+2q6hgBjkUaxOUmOtJBkfsoDlcE+YWHCPdE0jq2HXnFRygNd1F81Inb7aFj4/YcLc6nJNKD\nu9hwrKiIZlFNiY+K5JDsQ1xuCvL2ERcWQ4smZ5NdUIA7LIKig2A8ToiOp8zhxRvh5ZhxU+IoICG+\njDBXGaVhh4g+ezm5B7cTF5WIs3FPPAWxhEe7SWyxnWjnYZJjLmP9Vjclhd6fLqRRHFLmorTUgYgX\nxE1Y43Cim8ZTlu/AGAcYCIsIIzopHnE78JSUIk43LmcpA/t1Ze+RA6Tt3YjXHY63NJz4pk0Jj4zH\n4zl9GzqBCZPLPcjx7LOaTKi656674OWXqfR/6kqMuDietn23syZjFa1b92LfHiFvVwQer8P3JEhc\nLIS5KPMUEuEMxytHcUV6iWkcRkHeMcJL4yjxQpnXiTcumrISB+LwJRQlxk14TBQOp4MyTxkOIikx\nJRAVQVhUNGVeCPNGU2o8eBwePLHRlDrB5YymjBJKjJfImGiM8eI1BnBRYkpxRkfhjIyk1A0uE02J\ncUMYRMRGUybgckVThlBiDO7YaMrKynDgQIASU0ZYTDQSFkaZ24GLKEpNKa4IF+6YaMoAV5nvZwkO\n3/EuBzjC8OKlxHh+dk3e2Jh6/29HMITcoExjzPPA8+AbQzFy3qxKjqj7RlK3r2FkBWVVSY+HBlh2\nNjCiCudVqt5p1gz+9KcaOVVH66VCjPw5aKcO5loeu4G2fu/bWGUV1rG6PBrhG5x5qmNPVX4QSLDO\ncarPUkoppVSQBDOhWAl0FpEOIhKOb5Dl3HJ15gLXWdtXAguMb1DHXGCKiERYT290Blac6pzWMQut\nc2Cds2pr/iqllFLqjAWty8MaE/F7YB6+buqXjTGpInIfsMoYMxd4CXhdRLYCh/AlCFj13gHSADdw\nszHGA1DROa2PnAHMEZH7gbXWuZVSSilVC3SmTJ2HQimlVIgI5jwUwezyUEoppVSI0IRCKaWUUtWm\nCYVSSimlqk0TCqWUUkpVmyYUSimllKo2TSiUUkopVW2aUCillFKq2jShUEoppVS1aUKhlFJKqWoL\n6ZkyRSQfyLA7jnqgGXDA7iDqCW2rwGg7BU7bKjDaToHpYoyJC8aJQ2758nIygjUFaUMiIqu0nQKj\nbRUYbafAaVsFRtspMCIStPUmtMtDKaWUUtWmCYVSSimlqi3UE4rn7Q6gntB2Cpy2VWC0nQKnbRUY\nbafABK2dQnpQplJKKaVqRqjfoVBKKaVUDaj3CYWItBWRhSKSJiKpInKLVd5ERL4WkS3Wz8ZWuYjI\nEyKyVUTWi0g/v3NdZ9XfIiLX+ZX3F5EN1jFPiIjU/pVWn4hEisgKEVlntdW9VnkHEVluXd/bIhJu\nlUdY77da+9v7nWuWVZ4hIuP8ysdbZVtFZGZtX2NNEhGniKwVkU+t99pO5YjIDut348fjo8f1d69i\nIpIgIu+JyCYRSReRc7Wtfk5Eulj/Lx1/HRWRW7WdTiYit1nf4xtF5C3xfb/b+x1ljKnXL6Al0M/a\njgM2A92Bh4GZVvlM4CFrewLwBSDAYGC5Vd4EyLR+Nra2G1v7Vlh1xTr2Qruv+wzbSoBYazsMWG5d\n1zvAFKv8WeAma/t3wLPW9hTgbWu7O7AOiAA6ANsAp/XaBnQEwq063e2+7mq01+3Am8Cn1nttp5Pb\naAfQrFyZ/u5V3Fazgf+ztsOBBG2r07aXE9gHnKXtdFLbtAa2A1HW+3eA6+3+jrK9YYLQ0B8DY/FN\nWNXSKmuJb84JgOeAqX71M6z9U4Hn/Mqfs8paApv8yn9Wr76+gGhgDTAI32QwLqv8XGCetT0PONfa\ndln1BJgFzPI71zzruBPHWuU/q1efXkAbYD4wGvjUum5tp5PbaQcnJxT6u3dyOzXC9w+AaFsF3GYX\nAEu0nSpsm9bALnwJk8v6jhpn93dUve/y8GfdxjkH31/eicaYvdaufUCitX38P8Rx2VbZ6cqzKyiv\nl8R3G/9HIBf4Gl8WetgY47aq+F/fiTax9h8BmlL1NqyP/g38CfBa75ui7VQRA3wlIqtFZLpVpr97\nJ+sA7AdeEV832osiEoO21elMAd6ytrWd/BhjdgOPAlnAXnzfOaux+TuqwSQUIhILvA/caow56r/P\n+FIsfZwFMMZ4jDF98f0FPhDoanNIdY6ITARyjTGr7Y6lHhhmjOkHXAjcLCLD/Xfq794JLqAf8Iwx\n5hygEN+t+xO0rX5i9f1fArxbfp+2E1hjSC7Fl6i2AmKA8bYGRQNJKEQkDF8y8YYx5gOrOEdEWlr7\nW+L7ixxgN9DW7/A2VtnpyttUUF6vGWMOAwvx3dpKEJHj07D7X9+JNrH2NwIOUvU2rG+GApeIyA5g\nDr5uj/+g7XQS6y8ljDG5wIf4klT93TtZNpBtjFluvX8PX4KhbVWxC4E1xpgc672208+dD2w3xuw3\nxpQBH+D73rL1O6reJxTWCN2XgHRjzL/8ds0Fjo/svQ7f2Irj5b+yRgcPBo5Yt9LmAReISGMr+7sA\nXx/SXuCoiAy2PutXfueqV0SkuYgkWNtR+MaapONLLK60qpVvq+NteCWwwPrrYC4wxRo53AHojG+g\n00qgszXSOBzfLcu5wb+ymmWMmWWMaWOMaY/vGhYYY65B2+lnRCRGROKOb+P7ndmI/u6dxBizD9gl\nIl2sojFAGtpWpzKVn7o7QNupvCxgsIhEW9dx/P8ne7+j7B5cUgODU4bhu/21HvjRek3A1z80H9gC\nfAM0seoL8BS+sQMbgBS/c/0a2Gq9pvmVp+D7otwG/JdyA6vqywvoDay12mojcI9V3tH6n2grvluM\nEVZ5pPV+q7W/o9+57rbaIwO/UdJW22+29t1t9zXXQJuN5KenPLSdft42HfGN/l4HpB6/Dv3dO2V7\n9QVWWb9/H+F7+kDb6uR2isH313MjvzJtp5Pb6V5gk3Utr+N7UsPW7yidKVMppZRS1VbvuzyUUkop\nZT9NKJRSSilVbZpQKKWUUqraNKFQSimlVLVpQqGUUkqpatOEQqkQJCIe8a3mmCq+1WfvEBGHtS9F\nRJ44zbHtReTq2ov2pM+PEpHvRMR5BsdOFJH7ghGXUqFOHxtVKgSJSIExJtbaboFvVdUlxpi/BXDs\nSOBOY8zE4EZ5ys+/Gd8CSP85g2MF36J4Q40xRTUenFIhTO9QKBXijG/a7OnA760ZB0eKyKcAIjLC\nupPxo7WoVRzwIHCeVXabdcdikYissV5DrGNHisi3IvKeiGwSkTesf9ARkQEistS6O7JCROLEt3Dd\nIyKyUkTWi8hvThHyNVgzAFqf8b2IfCYiGSLyrN+dlvFWPOtEZL51rQb4FrAlGVKqIXNVXkUp1dAZ\nYzKtLoQW5XbdCdxsjFkivgX4ivEtanXiDoWIRANjjTHFItIZ35TJKdbx5wA9gD3AEmCoiKwA3gYm\nG2NWikg8cAy4Ad/UyQNEJAJYIiJfGWO2Hw/Gmga4ozFmh1+MA4HuwE7gS+ByEfkOeAEYbozZLiJN\n/OqvAs4D3jnzFlNKlacJhVLqdJYA/xKRN4APjDHZ1k0Gf2HAf0WkL+ABzvbbt8IYkw0gIj8C7fEt\nnbzXGLMSwFirA4vIBUBvETm+FkEjfGsLbPc7XzPgcLnPX2GMybTO8Ra+6fhLgO+PJyPGmEN+9XPx\nrdColKpBmlAopRCRjviSgVyg2/FyY8yDIvIZvnn9l4jIuAoOvw3IAfrg60Yt9ttX4rft4fTfOQL8\nwRgz7zR1juFbl8Bf+YFglQ0Mi7TOo5SqQTqGQqkQJyLNgWeB/5pyo7RFpJMxZoMx5iF8KxB2BfKB\nOL9qjfDdcfAC1wKVPX2RAbQUkQHWZ8SJb0nlecBNIhJmlZ8tvlVMTzDG5AFOEfFPKgZaqyI6gMnA\nYmAZMNxaQZFyXR5n41tQSSlVg/QOhVKhKcrqgggD3PhWK/xXBfVuFZFRgBffiqJfWNseEVkHvAo8\nDbwvIr/CN4ah8HQfbIwpFZHJwJMiEoXvbsH5wIv4ukTWWIM39wOTKjjFV/i6Nb6x3q/Et2pkMr7l\nmz80xnhFZDrwgZVo5AJjrfqjgFmni1EpVXX62KhSql4RkX7AbcaYa6v6CKuIJAJvGmPGBDNGpUKR\ndnkopeoVY8waYOGZTGwFtAPuqOGQlFLoHQqllFJK1QC9Q6GUUkqpatOEQimllFLVpgmFUkoppapN\nEwqllFJKVZsmFEoppZSqNk0olFJKKVVt/x8EOkssPEwLRwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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g/PmKiF4IUU1I0iCEMyiUNKRlpvGfL1OYfm9r/Gr6MWPGDNavX2/TqUwmE3fc\ncQdhLZvh6gqbD8QXLVSjBnTrBhV037wQonqQpEGI6u7iRYiJAZMpf1PGhVp4nOjFlPHGaOv4+Phi\nV7cszNfXl0ceeYTc3Fw6dIDUhGusF5QuCiGuOnZNGpRSNyilopVSsUqpaVb211BKLTHv36KUCjBv\nH6SU2q6U+tv8b3+LYzqbt8cqpd5XtsxQIoQz27nTWH3SPBEPwL8/3kXv/hl4exsT1MTHxxMUFGTz\nKceNG8fy5cvp3smP+IM1rBeSwZBCXHXsljQopVyBucCNQAfgdqVUh0LF7gHOaa1bAe8Bb5i3nwFu\n1lqHAhOAzy2O+Qi4F2htftxgr2sQolqwMp7hs68vcu31xn3hubm5vPXWW9SpU8fmUwYGBrJnzx4y\nau/k45+L6dbo0gViY+Hs2XKHLipWcnIyYWFhhIWF0bhxY5o1a5b/vCyrXZZVz5492bVrF2BMiFTc\n5E0A7777bomzGk6cOJHo6Giys7OpXbt2meLYsWMHP//8c/7z5cuX89Zbb5XpHKJk9mxp6ArEaq3j\ntdaZwDfALYXK3AIsNv+8FBiglFJa651a67xh2/sAT3OrRBPAV2v9l3lBjs+A4Xa8BiGqvkJJQ3Ky\n5kJsCOPH1AOMloZJkyYVd7RVJpOJPXv20L2TLycP17VeyN0drr1WxjVUIfXq1WPXrl3s2rWLBx54\ngClTpuQ/9/DwAIz/D7m5uXaLYc2aNfj4+BS7v6SkIScnh4ULF5Z7iurCScOIESOYOnVquc4lrLNn\n0tAMsJxJJsG8zWoZrXU2cB6oV6jMKGCH1vqyuXxCKecU4uqydavxrd/sq2XncW+1geYNjA/77777\njjvuuKNMp4yIiKB58+YM6NqUi8ebk5ObY72gdFFUC7GxsXTo0IGxY8cSHBzMsWPHCnyL/+abb/IT\ny6SkJEaOHElERARdu3blr7/+KnK+S5cuMWbMGNq3b8+oUaMKJAH+/v6kpKSQmprKjTfeSMeOHQkJ\nCWHp0qW89957nDp1il69ejFw4MD81oTHH38ck8nE1q1bC7RaADz66KMEBwczaNAgkpOTgYItGydP\nnqRVq1akp6fz4osv8uWXXxIWFsbSpUv5z3/+w+OPPw4Yy1T369cPk8nEoEGDSEgwPkrGjRvHY489\nxnXXXUdQUBDLly+v4FffuVTpgZBKqWCMLov7Sytr5dj7lFKRSqnI06dPV3xwQlQFqanGXNHmlQAB\n4qK8uWdoyD/P4+IICAgo02mDgoKYPXs2bQK98cj1IyEp3XrBPn3AxrsyhGMdOHCAKVOmsH//fpo1\nK/671qOPPsrTTz9NZGQk//0TbmwSAAAgAElEQVTvf622Un3wwQfUqVOHqKgonnvuOatrN6xatYqA\ngAB2797N3r17GTRoEFOmTKFhw4asX7+e3377DTDWV+jduzd79uwpsh7G+fPn6dGjB/v27ePaa6/l\npZdeKjZuT09PXnjhBcaOHcuuXbsYPXp0gf2TJ09m0qRJ7NmzhzFjxuQnEwCnTp1i48aNrFixgunT\npxdbh7Bv0pAIWA679jdvs1pGKeUG+AHJ5uf+wHJgvNY6zqK8fynnBEBrPV9rHaG1jmjQoMEVXooQ\nVdT+/dCuHbj886scdSCHbh3/Gb9Q1kGQeaZMmcKOHdvpFFqTY3G1rBfq3Nm4c0PWobCustfGLkHL\nli2JiCh9VuHffvstf/2H4cOHc+7cuSJrRKxbt45x48YB0KlTJ4KDg4ucx2Qy8fPPPzNt2jQ2btyI\nX6HZSvN4eHgwYsQIq/vc3NwYM2YMYLQIbNiwodT4i7NlyxZuu+02AMaPH1/gFuThw4ejlMJkMhVY\nI0IUZc+kYRvQWikVqJTyAG4DVhYqsxJjoCPAaOAPrbVWStUGfgKmaa035hXWWp8ALiilupvvmhgP\nfG/HaxCiatu3Dwr9wY7ce4GdWd/kP2/dujXh4eFlPvWFCxfYtm0bOfX+Zt7q/1kv5OEBERGwaVOZ\nz39V0LriH+VkueSzi4sLlusOWXYvaK3ZunVr/liIxMREPD09y1xf+/btiYyMJDg4mGnTpvHqq69a\nLefp6WnTMt3wzzLTbm5u+eMyKmKp6BoWdx5dDesxXQm7JQ3mMQoPA2uAKOC/Wut9SqkXlVLDzMU+\nBeoppWKBJ4C82zIfBloBLyildpkfDc37JgP/AWKBOGC1va5BiCpv717jdkuzrCxIOVmbriH/DA16\n5plnbPqGWVjezJD+Qans2ZtdfMFevWQwZDXj4uJCnTp1iImJITc3t0A//sCBA5k7d27+c8vxBXl6\n9+7NV199BcDu3bvZt29fkTKJiYnUqlWLO++8kyeffJIdO3YAJS+NXVh2djbLli0D4KuvvqJnz56A\nsfjW9u3bAVi6dGl++ZLO3b17d/773/8C8MUXX9C7d2+bYhAF2XVMg9Z6lda6jda6pdb6FfO2F7TW\nK80/Z2itx2itW2mtu2qt483bX9Zae2utwywep8z7IrXWIeZzPqwlLRRXs0ItDYcPg6tvEiFNWwGQ\nmZnJgAEDyvXtqWPHjpw6dYqIME8S4osfDU+vXjKuoRp64403GDx4MNdddx3+/v/0+s6dO5eNGzdi\nMpno0KEDn3zySZFjH374YZKTk2nfvj0vvfQSnTp1KlJm9+7ddOnShbCwMF599VWeffZZAO677z4G\nDhzIwIEDS43Rz8+P9evXExwczIYNG3juuecAmDp1KrNnzyY8PJxz587ll+/fvz+7d++mU6dOBZKJ\nvOuaP38+JpOJJUuWlHtp8KudLI0tRHXm7w8bNoB5oOOPP8KTL8Wzc0NjvNy9iImJYfDgwcTHW5kK\n2kabdp9kwAAX0s80tF4gLQ0aN4YzZ6BmzXLX4wyq8tLYwnnJ0thCiNKlpBgLRjVvnr/p4EG4oXsQ\nXu5eQPkHQeb56KOPqO95EZf0hhTbolyrFrRvD9u2lbseIUT1IEmDENXV/v3Gh7XFnRN/bEtgXdp/\n8p/nNSGX19atW/n991+o3SyJ1ZsPFV9QuiiEuCpI0iBEdWXlzomDB6FZ4D9LWd9xxx3MmTOn3FX0\n7t2bdevW4d44lt+2lHArmiQNQlwVJGkQorrau7dI0nD8sA+dgv+5tW7x4sXExcUVPtJmvXr1YsOG\nDbRqk8nf+4qZFRKgZ0/YvBlySihzlbgaxomJqqOy/79J0iBEdVWopSE1FS5f9KJfx9b522bNmkVK\nSkq5q2jZsiU7d+4kLKQGh2O9ii/YoAE0aQJ79pS7LmdQs2ZNkpOTJXEQlUJrTXJyMjUrcQCyW6XV\nJISoWPv2FZij4eBB6NDWnf5BfQHjD0pcXNwVDYRUSnH06FE6N/VkeUpYyYXzuiis3H53tfD39ych\nIQGZul5Ulpo1axa4ZdbeJGkQojo6exYuXTJuuTTbfyCbs17b0Lo7SimSk5NxdXUt05LY1mzatIkd\nO/7mWMJcUi+Cj3cxfzZ69YKVK+HRR6+ovurM3d2dwMBAR4chhN1I94QQ1dG+fdChQ4G1CLbsTuGi\n7878qXb9/PysrlBYVr169WLjxrVQJ54/I0sZDLlu3RVNdSyEqNokaRCiOrJy58Tf+zNoHnQp//nJ\nkydxc7vyxsSQkBBOnTpF7WYnWBd5pviCLVoYa1HExFxxnUKIqkmSBiGqIyt3ThyK9aBdW9f8559/\n/rnVKYDLytXVld9++42A1uns2nu5+IJKya2XQjg5SRqEqI4KtTRoDecSG/LBnf+MJ7jS2SAttW7d\nmt7t6uOWHFpywd69JWkQwolJ0iBEdVQoaThxApR7Brk1k/O3VWTSsG/fPn74+g3iY2qUXFBaGoRw\napI0CFHdnD4NmZnQtGn+poMH4XLt3WRkZ+Rvu/fee+nYsWOFVNm5c2eOnf2dmNhcsrJKKNi+vbEm\nRmIJAyaFENWWJA1CVDd58zNY3DmxZ18GOXWj8Pc1bsHMzc3lX//6Fw0aNKiQKj08POgW0hHlm0jk\n3nPFF3RxgT59YO3aCqlXCFG1SNIgRHVj5c6JbX9foP41Z3FRxq90XFwcwYXKXKmZM2ZSq/Fx1m4/\nUXLBfv3gzz8rtG4hRNUgSYMQ1Y2VpOH00bpMu2VE/vP4+HiuueaaCq22T58+RIT4cOZo3ZILStIg\nhNOSpEGI6sbK7ZYHD2q6mf6Z+XHr1q0VNggyz6VLl9i4YgFnjtQvuWBwMKSlwZEjFVq/EMLxJGkQ\nojrRukhLQ2YmHDmq+Tt7BdnZ2QA0bNiQBx98sEKr9vLyolHHFL7fGFVyQaWgb19pbRDCCUnSIER1\nkpRk/NuoUf6mQ4fAvfYpXM/nEBoayp49e7j//vsJCytlgalyuC6iHhdONCm9YL9+8McfFV6/EMKx\nJGkQojrJa2WwuHMiKiqHrNp7eWbSM8yYMQOTyWS36h8aNwqd48GJUyXMDAnQv7/R0iDrUAjhVCRp\nEKI62b+/0EyQmv37s2ngc47t67Zz22232bX6Xtf1pHazU2z7+3zJBVu3htxciIuzazxCiMolSYMQ\n1Ul0NLRrB8BXX31Fz549iY93Z+a9t9OiRYtKCaHGxSNsX5dWciGlpItCCCckSYMQ1Ul0NFmBgYwb\nN46XXnqJOXPmsGHXKX48826lheATeJyl6/4uvWBeF4UQwmlI0iBEdXLwIIdr1CArK4vt27cTHh5O\nwiFv2rStvBBahGRw6Jh76QXz5muQcQ1COA1JGoSoLi5dgqQkWg8cyJIlS/Dy8iItDTLSPAhv07jS\nwhgyoBWZ5wNLLxgYCDVrQlQpt2gKIaoNSRqEqC5iYyEoiB9Xr+aLL74AjNstazc+R1gT+90xUdio\nASZyUgLIzrahBUG6KIRwKpI0CFFdHDwIbdvy119/ER8fDxg3J1xrakxIw5BKC6N5g3rUrpXF+++v\nKL2wTCkthFORpEGI6iI6Gtq0ISkpiUbmyZ12RV0gjl8qPRSfRif57+rdpRfs189Y8TI31+4xCSHs\nT5IGIaqLgwehTRtOnTr1T9KwP5XLPvsrPRQP/0PsOZqBLm2Qo78/1K0Lf9twt4UQosqTpEGI6sLc\nPfHdd98xZMgQAGLjc2jZUpVyYMULDnED1Y5z586VXljmaxDCaUjSIER1oHV+98TSpUvzF6Y6edSL\n0LbelR5O59BaeLqGUbduKctkAwwYAL/+av+ghBB2J0mDENVBcjJoja5fn4kTJ5Kbm0tODqSdrs/L\no+6p9HCG92yPPtWGOXPmlF548GDYsAFSU+0fmBDCriRpEKI6MLcyXEhNxc3NDW9vbxITwdMvjSyX\nyv8wDmnty8VUD96fu6D0wn5+cO21sGaN/QMTQtiVJA1CVAfmQZCWd04cjMnhvNdO3F1smJ2xgrm4\ngKoXT+JFb06dOlX6AbfcAt9/b//AhBB2JUmDENWBeRBko0aNmD9/PgCR+87i1fAEnu6eDgmp/jXJ\nNAzoybZt20ovPGwYrFoFWVn2D0wIYTeSNAhRHZi7J1xdXYmIiACMORoa+V9yWEgtWl6mRdD1+Xdy\nlMjfH4KCjLENQohqS5IGIaoDc/fEokWLmDZtGgBZZ65h8vWDHRbSoK7XkHuqVX7LR6luuQVW2DCL\npBCiypKkQYiqLifHmC+6deuCYxpicwhtV/m3W+a5sXtL0k424/HHHyfLlm6HvHENDlz1MjExkbNn\nzzqsfiGqO0kahKjqjh6F+vXB25ukpCQaNzZWtIyOzeJsTRvGE9jJNUGX2L0/nWuaNyfKlpUsQ0KM\nEZR79tg/uGIEBATY1p0ihLBKkgYhqjpz1wRA165dCQ8PJyUFsrNc6NyqhcPCatrAC+WRTkDodezc\nubP0A5SC4cMdehdF3759bZvFUghhlSQNQlR10dHQti0AkyZNokuXLkQdvAx14gisE+DQ0HyaniC8\n9+0MGzbMtgMcPK5h0aJF/N///Z/D6heiupOkQYiqzqKl4frrr+fEiRPExuXSsZ0vbi5uDg2tbVu4\ncKaxbd0TAD16GN0tR4/aNzArEhMTGTVqFOPGjSNXVt0UolwkaRCiqjMnDVpr1q9fj6+vL4lHajAw\nItDRkTG6l4mcpNbccMMNtn0Qu7nB0KGwcqX9gyskKioKT09P+vfvz+bNmyu9fiGcgSQNQlR15u6J\n1NRUXF1d8fb2Zvmmv/k70/EzLDZqc5RlfyRRv359YmNjbTvIQbND7t+/n/bt29OqVSt2795d6fUL\n4QwkaRCiKktPh6QkaNGClJQUOnXqBEDCEXfatnZs1wTAyOsbcSbBjxam7uzYscO2g66/HrZsgUoe\nkKiUonv37phMJvY48A4OIaozx//VEUIULzYWAgPBzY3mzZuzfv16AJKP16FL8AUHBwe1PGvQMmIf\nWfUH0rFjR9sO8vaGIUNg0SKYMsWu8Vl65JFHANi+fTspKSmVVq8QzkRaGoSoyizunNi+fTtff/01\nWVmQlVKf3h0dd7ulpfGj63F0byjNmjWz/aDHH4c5c4yJqyrJpEmTuHjxIp07d+b555+vtHqFcCaS\nNAhRlVncOfHXX3+xbt06jh6F5v7uNK/bxMHBGR64vQUp+zsTENAWbetsj926QcOG8OOP9g3O7OzZ\ns3z77bd4eXkBMG7cOOLj4yulbiGciSQNQlRlFi0NebNB/r79MNm1ox0c2D8aNIAWrdO4FBzB0bLc\nSvnYYzBrlv0CsxAVFUX79u1RSgFw4cIFdu3aVSl1C+FMJGkQoiqzaGk4efIkjRo1YvOeJDzqJTg4\nsIJuvtmVzMxBrN+23vaDRo+GmJhKmVY6Ojqa9u3b5z83mUxyB4UQ5SBJgxBVmUXS8PLLL3PbbbcR\ndTCTwCDHLfpkza0jvPGIG8n2DBvvoABwd4fJk2H2bPsFZjZx4kTmzZuX/zw8PJwzZ87YvV4hnI0k\nDUJUVcnJkJVl9P0DcXFxuLu7k5TghcmBq1taYzKBj3t9MnPKOOHUfffBsmVw+rR9AjP77rvvCtwx\nMXLkSObOnWvXOoVwRpI0CFFVxcZC69bGQk/A7bffTlJSEn6XOnNH7+4ODq4gpWDIYM0Pz5fxboj6\n9Y1uio8/tk9gZk899RSpqakFts2cOZMLFxx/26oQ1YkkDUJUVTExRtIAaK1JSkqiTr26HIi5TMuW\nDo7NipEja5KYEs4TPzxRtgMffRQ++ggyM+0S18WLF0lKSiIwsGAryKpVq/j777/tUqcQzsquSYNS\n6galVLRSKlYpNc3K/hpKqSXm/VuUUgHm7fWUUn8qpdKUUh8UOmat+Zy7zI+G9rwGIRzGImnIm0J6\n//FTZJFOnTrKwcEVNXCgQqV35tMt35GVk2X7gaGh0K4dLF1ql7gOHDhA69atcXV1LbC9Y8eOMhhS\niDKyW9KglHIF5gI3Ah2A25VSHQoVuwc4p7VuBbwHvGHengE8DzxVzOnHaq3DzI9TFR+9EFWARdLg\n4uLC+++/z/rdifg0tm//f3l5eUHLoJN4HxrB6tjVZTv46afhuefADjM1tmrVikWLFhXZ3rFjR5lO\nWogysmdLQ1cgVmsdr7XOBL4BbilU5hZgsfnnpcAApZTSWl/UWm/ASB6EuDpZJA1eXl5MnDiRnfvP\n0/iaSw4OrHiPPdaSVmmPceZSGe9MGDzYmFp64kSwdYIoG6WkpNDSSn/O+PHjefPNNyu0LiGcnT2T\nhmbAMYvnCeZtVstorbOB80A9G8690Nw18bzKm62lEKXUfUqpSKVU5Gk7j8wWosJpXSBpWL58Obfe\neiuBudczuEsVHNBg1rPnebb9Uo8Jprttnx0yz9tvQ2IivPtuhcY0ZcoUfv755yLbfXx8+PXXX21b\n0lsIAVTPgZBjtdahQC/z405rhbTW87XWEVrriAYNGlRqgEJcseRk4996Rg6dlJREvXr12Lb7ImGh\nHg4MrGQhIT5kZsZy5yvf8P6W98t2cI0a8O238OabsHFjhcWUNxskQHZuNt99pxkwADIyFE888YRM\nJy1EGdgzaUgErrF47m/eZrWMUsoN8AOSSzqp1jrR/G8q8BVGN4gQziWvlcHckHby5EkaNmrIn9uS\nCGp92cHBFc/FxYV27Zbw56cDmR/5n7K3NrRoAQsWwO23V8jcDVlZWRw6dIg25gmyHl/2EuMmpZCV\nBQ8+CCaTDIYUoizsmTRsA1orpQKVUh7AbcDKQmVWAhPMP48G/tAl/JVRSrkppeqbf3YHhgJ7Kzxy\nIRzNomsCoFmzZjRr3xyd3JIIk48DAyvdgAEZ1HTJ4szWAUQejyz7CYYMgbFjYdy4K74N8/Lly7z2\n2mvUrFkTgFPLpqGDlzDv6yPs2AHZ2ffKYEghysDNXifWWmcrpR4G1gCuwAKt9T6l1ItApNZ6JfAp\n8LlSKhY4i5FYAKCUOgz4Ah5KqeHA9cARYI05YXAFfgM+sdc1COEwhZKG+++/n4W/r6dm7RS8vT0d\nGFjp3n77LUaM8ODW8f8m6cJfRUcy2eKll4zWhpYtYcoUuPde8CkhWUpNhXXr4PffYe9eyMiAy5fx\nvnyZKTk5kJHBdC8Tv6/tyROfnuW1rc+xfPnndOt2I7feWvimLiFEceyWNABorVcBqwpte8Hi5wxg\nTDHHBhRz2s4VFZ8QVVZMDAwdmv/0scceo37g3YQGuzswKNtkZWURHb2Aju0e4MSGweh2mmLGKxfP\nzc0Y37BjB7zxBrz2GjzwAIwaBWfPQlKS8Th+3Bj/sHs3dOkCAwYYSYanJ9SowcIvv0RlZ3PnX5E8\n8OOHREy6j+v7Pcbvh/+gZUv44gtXJkwIYOBA8Pe3z+shhDNRZe5zrIYiIiJ0ZGQ5mkmFcJTOneHD\nD6FbNwACAwMZPmozKrcR775b9SZ2spSVlYWfnx+rVp1h6JjLfPjzr4zv/K8rO2lsrHF3xfr1xlrc\njRoZj8aNjWShRw9joohCxo0bx8CBA/lj8y2cWDuLX2r9gPKoQfb7s1jte4qbWt2Ep+e/MZleYONG\nN2rUuLIwhagqlFLbtdYRFX1eu7Y0CCHKQet/1p3gnymkv9y0gwnDgoB2jo2vFO7u7oSEhODuvpP2\noS145d2zjP/yCk/aqhVYrFJpq6ioKPr1e5afVnjy4AI/1I2RsHgxrkNu5o2HPKk1fhFhYWu4fPlJ\nVq/2Y/jwK4xTCCdXHW+5FMK5nT4Nrq5Qty5grJ3g4eHBuYTG9Iqo7+DgbBMeHs6OHTv46J0GxKwc\nwf6EY6UfZAdBQUHMm9eGubNr8vKQJ8DFBSZORE2ZwrIfvZn+y9OYOobSvPkBNm92SIhCVCuSNAhR\n1RQaBFmrVi0OHosh+1QreobbMveZ402fPp1bb72ViE41CL/uHHPnuJZ+kB28+ea3xMTnss770YI7\nnn6aBl4NuH3NcdoObkuPHq5s2uSQEIWoViRpEKKqKZQ0HDlyhEVf/Iq3t6Ju3ao9niFP06ZNiYuL\nA2Dxu+1Y/nkTMrMqd+bFDRs28OCDv1K/0wY6NGpTcKerK+qzz3hkQyZTA/szeXIEO3fabaFNIZyG\nJA1CVDWFkobIyEi+/+IgXTtW7fkZLOXk5DBgwAAyMjIIDob0WlG8vqByl6HeunUru3YHceKaudwe\ncnvRAi1a4PL+HM6PvpnQW+rTsqVm165KDVGIakeSBiGqmkJJQ1JSEsc8fHBvFOvAoMqmZs2atGrV\nir17jbnXht52gnkf5xRbPiurDEtp2ygy8gTnLzThgTFtqOdVTLfObbeR3bkTz547S5v2ydJFIUQp\nJGkQoqqxuHMCjKThfGoTAlunOzCosgsPD2fnzp0AvPZoOCcPBLLn4Lki5Y4fP05AQAAbK3C9CYDd\nuwPp1eMC79z0Wonl6i34mpviXaib8qoMhhSiFJI0CFGVFFrdEowlnDPOBtEjvK4DAyu7Bx54gIgI\n4zZx//p16HHjURYsKDovTE5ODv7+/qxbt65C669VZwKnOnxYekFfX3YPvp5bD38nLQ1ClEKSBiGq\nkqQkqFkTatf+Z5sr5JxqQ78ujR0XVzl07949f6EogDnPd+S7r2qTnW0kDlpr5s6di4+PD8899xyZ\nFTgKMTr6HDu2a/oPyrap/NAFS+h3KpW6l45yzDF3hwpRLUjSIERVEhNjTGRk4dbRD+GpfGnW1DG3\nLZbXxYsXadSoEdnZxgd3WBicdYliztfRAHz88cd8+OGHuLq6cvPNNzNjxowKq3ve/JPkBq7ini5j\nbSp/LjubXxo1ZKzrM3z/66kKi0MIZyNJgxBVSaGuCYDDl2pSv/lpyrp8g6N5e3vTrFkzDhw4kL9t\n8L+OMHtuOhs3bmTGjBl8//33+JgXonrsscc4VkFf839aVYMmrTYT3DDYpvK+vr5MO3KUSak/88nS\nvyokBiGckSQNQlQlhZIGrTXnaIqvf4IDgyq/vJkh87z+eCeO7g5k3eYYFi1aRCuLVpXDhw+zuQJG\nIp47B0fim/DQtUE2H+Pq6opHaCgXWrSl05ZdHDp36IrjEMIZ2ZQ0KKWWKaWGKKUkyRDCngrdOZGT\nk4OfTzdCTdVzmZjRo0dTr94/tzu2qFeX9t32kXZxNDfeeGOBst27d2fLli1XXOfXSy/i3nY9EyaO\nKtNxYWFhHBhwHZPP/QjZVXv5cSEcxdYk4EPgDiBGKfW6UqqtHWMS4upVqKXBzc2NzNRWdA/zc2BQ\n5Tdq1CiGDBkCGK0mDz30EE3cfuTLxZ7kFpogslu3buzfv/+K65z3+Wmah0fSqEGjMh330UcfccP7\nb9HM/TRnllafOTGEqEw2JQ1a69+01mOBcOAw8JtSapNSaqJSyt2eAQpx1Si0uiXAli1byDnclsHd\nmzswsPJLT08nPDyc3Nxc5s2bx5YtW/hu2XSOXz7AouVHCpTt27cvq1atuqL6UlNh37b6xG2ZjSrj\nIJBz584x75NP+KnDKJLe/r8rikMIZ2Vzd4NSqh5wFzAJ2AnMxkgifrVLZEJcbU6cAG9v8PXN3xQZ\nFU1mpjctA6tn94Snpydnz54lNjaW1atXs3z5cvx8fek7Ip635iYXKOvi4sLXX39NbGz5v+UvW5FF\n/VbRdPBsiotL2XpT3dzceOqpp0j+10h6HtkBp+QuCiEKs3VMw3JgPeAF3Ky1Hqa1XqK1fgSoZc8A\nhbhqWLlz4rfdCbjWj6OMn39VSpMmTfj9999ZuXJl/sDHVx4PJnpzS06evlyg7J9//smaNWvKXdeS\nr9245dqLdGjfoczH+vn50aBBAzp09mSZupncTz4pdxxCOCtb/xR9orXuoLV+TWt9AkApVQNAax1h\nt+iEuJpYmaPh6Mla1G180kEBVYyHH344f66GPF1aBRHRK5mvvyk4Q2S3bt3KPRjyRFI2a9amMvwO\nYzbK8jCZTGSej2OR191k/Wdxuc4hhDOzNWl42co2maVdiIpkpaXh8uUgrutRx0EBVYyxY8fyyCOP\nFNn+8lNBLFxQcNzBlSQNMz7YR53QvxhwbTd69epVrnPMnj2bwYOvp9GgAeScvwjR0eU6jxDOqsSk\nQSnVWCnVGfBUSnVSSoWbH30xuiqEEBUlJgbaFrwxKf1gC0wtnHOscc8+l9l36DQ/bziRv61Dhw6s\nXr26zOfK1bl8+ZVm8t2+hIaGcvDgwXLFVK9ePaKiorjc9H/8UbcX/PBDuc4jhLMqraVhMPA24A+8\nC7xjfjwBPGvf0IS4yhw8WGRip8R4P1o3s239hOrGq0YNwm/8m5mz/rmLwtXVlbS0NOLj48t0rv3R\nGaizrXnq9o4cPXqUwMDAcsV08uRJbrvtNvzbHefrjBtg5cpynUcIZ1XikGyt9WJgsVJqlNb6u0qK\nSYirT24uxMUVGNMQdzqBy1kNCA+vuIWcqpoZjzfnlgGNuZSeg5ensbbG119/Tc2aNW1eiyI7N5tP\nP0tnwh31OHx4D0FBQbi7l691pmXLlpw+fZqwdjV54uwgdOpjqORksJigSoirWWndE+PMPwYopZ4o\n/KiE+IS4Ohw7BvXrG7dcmv0eeQxqHcLfv2yTFFUnQ7sF0z44i+9X/jPTU1nHNXy263PmL0pj7Fij\ndebOO+8sdzwuLi6YTCY80y9x2aUGl3sOgCucO0IIZ1Ja90TeX7BagI+VhxCiIhTqmgDYtCOF5m0u\nUauWc9/V/MwjDZn7cXr+87ykQWtdwlGGy9mXee6rpfi5NeLaa6Fjx45Mnz79iuJ58cUX6RXck4hQ\nX46abpYuCiEslNY98bH5339XTjhCXKUOHoQ2bQpsupTQgpbXnC/zzIbVzaAhqUy4L4ftB07RuV1D\nmjRpwqeffkpOTg5ubiVParVg5wJqRN3N2PE1UQqeeuopbr75Zvr06VPueAYOHEhKSgq5daNY49ON\nNr9OgcuXoUaNcp9TCPGFaA0AACAASURBVGdRWvfE+yU9KitIIZyelaThbEwjju0u/0RH1UXjOn50\nGhTDqGd/IDPHGL8xaNAgzp07V+qxo9vfSvrOWxg71ni+Zs2a/KW2yysuLg6TyUSazw5+i3OB4GBY\nu/aKzimEsyite2J7KQ8hREWwMkfD+v1naNg8uZgDnMvCl7tw8vdRvL/2cwA+/vhj/v3vkhs4l0Ut\n48dfUmna2I327SE7O5vY2Fjatr2y9fSCgoJIS0ujRYvLxBwEhg2TLgohzGy5e0IIYW+FWhpOpZ4l\n60wL2gU4LqTKZAp1Yey/apH4492k9UqjW7dufP3118WWv3D5Ag/8+AA9d0bntzIkJSURGhqKt8Vg\n0vJQStG1a1fqeJ9m42EfI2kYPBg++ACcvKtIiNKU1j0xy/zvD0qplYUflROiEE4uMxMSEsBiboE/\ndhzC3fcs998/3oGBVa7XXnHj888h4rU7OOl7kn379pGenm617Ky/ZtHV/W7W/1qHceZ7vJo1a8bW\nrVsrJJaJEyfyry6duHy6KTmt24GHB+zeXSHnFqI6K23pvM/N/75t70CEuGodOgT+/sYHk9mBAwr/\noAt06dLFgYFVroYN4ZlnFCt/WcSDXu146MWHSE9Px9PTs0C5XJ3Lt3uX4fL5X7zyCjRqZNxqee+9\n9/Laa6/RoEGDK47l1ltvRWuNb910Dh/xpGVeF0VY2BWfW4jqrMSWBq31dvO//8NYa+IccBbYbN4m\nhLhSVgZBeqaE45oSzbJlyxwUlGM8+igcj6/LpNrf8JvPb/j6+RYp46JcuOvyDur61mTSJGPb6tWr\n2bZtG/Xr16+QONLS0ujQoQPna21j065kGdcghJmtS2MPAeKA94EPgFil1I32DEyIq4aVpOGbP/dw\n2X03jRo578RO1tSoAW+9BT+8359Haz/B+PHjycrJyt9/Mu0kfd+7m9deVXzyCbi4GK0Mr7zyCtOn\nT6+w21Nr1apFRkYGtZueYvOuZOjRw2gRSkiokPMLUV3ZusrlO0A/rXVfrXUfoB/wnv3CEuIqEhNT\nJGnYH6W5nLXrqksaAEaMMGZtPnpgEGvOreGelffkT/T06rrXiFs8jenTVf6M28nJyfj5+TFmzJgK\njaNr16741Uni76hMcHeHgQPht98qtA4hqhtbk4ZUrXWsxfN4INUO8Qhx9Sk0G+TFzEtkJgUysHsz\nmjRp4sDAHEMpeO89+OijRmRsGELkgWO8sfENjp4/yoIFmv9v777jo6rSx49/nplJL0BC6F0IvYXQ\nRFSagIiuiIq6it1Vsey6v13Bte7a9uu6q6vrutgVQVBRFBWkiIqQEKpA6L2GEEp6mTm/P+5NSEKA\nAJnclOf9es2LmXPu3HnmwAzPnHPuOfU9rXnooRPHR0dH88033+B2uys0juHDh9O7WSQFKfYE1Usu\ngUU6KqtqNzndUq0iMsa+OwxoCUwHDHAtsMsYc5/fI6wA8fHxJikpyekwlCpbs2aweDG0bAnA9yuT\nufzS+uQfO/8JfdXZ++/DM88kk3KoLdlBu4nvl826xa35ZVEoXbtaxyQlJTFp0iTmzp3rlxi2bTNc\nfImPPbvdsG4djB4NZ7kDp1JOEJHlxpj4ij7vmXoaRtu3YOAgcAlwKXAICDn105RS5ZKZCWlp0Lx5\nUZE51JFenUK58cYbHQzMeePHw9atHTl6JIBvvwzj5hGd+ODtEwkDwHPPPceoUaP88vo+n4/7Jl7B\n3gP5ZGYCnTpBerq1uZhStdSZFne6rbICUapW2rIF2rSxZvTZvl68lYgYL9v0Fy1r167llVdeYfLk\nyQy7sGTd+vXrWbx4MR999JFfXtvlcrFvw24kaiur17fiwt5hcPHF1hBF4eIQStUy5b16IlhE7heR\n/4jIO4U3fwenVI1XxpUTs3/ZijdiLY0aNXIoqKqjcePGTJ8+Ha/Xe1JddnY2//jHPwgNDfXb6/ft\n05eg6F38tOKAVaDzGlQtV96JkB8CjYDhwCKgGToRUqnzV0bScGBHPVo0zKRFixYOBVV1REdH06BB\nA5KTk0uUHzlyhM6dO/NbP//i79OnDzGRaezZbm9PrkmDquXOtCJkobbGmGtF5CpjzPsi8jHwkz8D\nU6pW2LwZBg4seljgKyBrXysef7gzF7S42cHAqo6hQ4eyc+dOunTpUlQ2adIkmjRpwuOPP+7X177z\nzjvxeISFC+2Crl0hNRX274daeGWLUuXtaShcXeWoiHQB6gAN/BOSUrVIqZ6G1FQIc9dj7cp5rFmz\nxsHAqo433nijxGTH/fv388knn3DPPff4/bVFhC8S/853S+35JS6XleRpb4OqpcqbNPxPROoBjwOz\ngPXAi36LSqnaolTSsGx1Bh06+HjvvXfZtGmTg4FVHampqTz22GNFj19++WVuvvlmGjSonN8t27d8\nx+E90RRdna5DFKoWK1fSYIx5yxhzxBizyBjTxhjTwBjzpr+DU6pGS0uzdrgs9p/fe98nkFNvJQcP\nHtSJkLbIyEj+9a9/kZGRAcC1117Ln/70p0p7/Uu6dcFnvBxMsSdjatKgarHyXj0RLSL/FpEVIrJc\nRP4lItH+Dk6pGq1w+ehi+yVsSHbRoaPh4MGDtXIJ6bIEBgbSrVs3kpKSWLRoEbGxsTRt2rTSXn9g\n34vw1NvKsjXHrYIePWDfPkhJqbQYlKoqyjs8MQ1IAa4BxgKpwCf+CkqpWqGMKyf2bo+gT/dwPvvs\nM1raK0Qq6NevHwsXLmTs2LEcOnSoUl971KhRjBnYhUO761kFbjdcdBH8+GOlxqFUVVDepKGxMeav\nxpjt9u1vgP4MUup8lNpzAkBSO3FpXCNEhMDAQIcCq3r++te/EhYWxpAhQ2hXqs38LSwsjMOupcxc\ntP5EoQ5RqFqqvEnDXBEZJyIu+3YdMMefgSlV45Xa3TI9HXKPR1Iv9DhXXXWVg4FVPcHBwTz22GNM\nnDjRkdffeHAWiauOnCjQpEHVUqdNGkQkXUSOA3cBHwN59m0acLf/w1OqBis1PPHxghUENNjGoUMH\ndBJkKR6Ph1WrVtG9e3dHXr9n+zDS9hXbQCwuDnbuhMOHHYlHKaecNmkwxkQYYyLtP13GGI99cxlj\nIisrSKVqHGOsnoZiXe1LVh2lfstDOgnyFDp37uzYa181qBMFR5tTtJq1xwP9+8NPusadql3KOzyB\niFwpIi/Ztyv8GZRSNd7evRAWBnXrFhWtS/bStl0Bbdu25dZbb3UuNnWSscNHERNl2LmzWKEOUaha\nqLyXXL4APIS1qNN64CERed6fgSlVoyUnQ8eOJYoy9zelX496dO3alauvvtqhwFRZ6tSpQ5M26cz9\nedeJwosv1p4GVeuUt6fhcmCYMeYdY8w7wAjAP5vYK1UblJE0uNM68ZsBnfjDH/7A+++/71Bg6lS2\n5XzDu18sOVEQF2f9PWZlOReUUpWs3MMTQN1i9+tUdCBK1Sqlkob0nEySN+bRrh3s2LGDsLAwB4NT\nZWneKpOtWwNOFISEQOfOsGKFc0EpVcnKmzQ8D6wUkfdE5H1gOfDsmZ4kIiNEZKOIbBGRR8uoDxKR\nT+z6BBFpZZdHi8hCEckQkddKPaeXiPxqP+dVkWLL6SlVXWzYAB06FD38cc0OJOwI4eHoEtJVVL+4\nOhxNaVKqsB8sXepMQEo54IxJg/2f8s9AP+Bz4DOgvzHmtCtCiogbeB0YCXQCbhCRTqUOuwM4Yoxp\nC/yTE5tg5WBtjvXHMk79BtYloO3s24gzvQelqpxSPQ0/rTxIVDNrWeJWrVrRrFkzpyJTp3Df2EF4\njnU5sXEVaNKgap0zJg3GGAN8Y4zZb4yZZd8OlOPcfYAtxphtxpjCtR1Kr1hzFVA4ePspMERExBiT\naYz5GSt5KCIijYFIY8xSO64PgN+UIxalqo4jR6xx8GL7J6xP9tK8tfXPfcqUKbRq1cqh4NSpxHVo\nRlBgKPsP5J8o1KRB1TLlHZ5YISK9z/LcTYHdxR7vscvKPMYYUwAcA063EVZT+zynO6dSVVtysjU0\nUWxkraV3GDcN6sXatWt5/PHHHQxOnYoIZEYs49G/FZuk2rq1tVPpnj2nfqJSNUh5k4a+wFIR2Soi\na+w5BWv8Gdj5EpG7RSRJRJIqe4MbpU6r1HwGgPnLdtOsdTY//PADBw6UpyNPOSGy0V6WrDl6okBE\nextUrVLepGE40AYYDIwGrrD/PJ29QPNij5vZZWUeIyIerKsyTrcu6177PKc7JwDGmP8ZY+KNMfEx\nMTFlHaKUM0rNZ/D6vCRvMHTs4GLJkiVceOGFDganTqdNbB579oWXLOzXDxISnAlIqUp2pr0ngkXk\nYeD/YU043GuM2Vl4O8O5lwHtRKS1iAQC44BZpY6ZBYy3748FFthzFcpkjNkPHBeRfvYEzVuAL88Q\nh1JVS6mkIXn/DshsSIe2Iaxbt47+/fs7Fpo6vasHtSc4pyf5+TqvQdVOnjPUvw/kAz9x4iqIh8pz\nYmNMgYhMwNoN0w28Y4xZJyLPAEnGmFnA28CHIrIFSMNKLAAQkR1AJBAoIr8BLjPGrAfuA94DQoBv\n7ZtS1ceGDSWShoXL9xDWIACPpwUrVqxAryKuum4Y3JP//RUCii3XQO/esHIl5OeXqlCq5jlT0tDJ\nGNMVQETeBhLP5uTGmG+Ab0qVPVHsfg5w7Sme2+oU5UlAl7OJQ6kqIyfH2neiTZuiosiMePr3MCQm\nJpKSksIVV+jWLlVVnYZH2b0/iH/84wMeeeQeqzAiwvr7XLMGevVyNkCl/OxMcxqK+uDsqxuUUudj\n0yZrxn2xX6TLf82gc4cApk+fzurVqx0MTp1JVGgdJGoLM74qNQ9chyhULXGmpKG7iBy3b+lAt8L7\nInK8MgJUqkYpY8+JaYuWE9RoB7/88otOgqziRIQ6zfbx67ZSv6H69tWkQdUKp00ajDFuY0ykfYsw\nxniK3Y+srCCVqjFKzWcwxpC2pwF9Otdl9erV9O59tsuhqMrWpYsHj6srx44dO1GoPQ2qljibDauU\nUuercGEnW0rmIXypbbmoVwzr168nPDz8NE9WVcGEy4cwtNcE6tQptm9fx46QkgKpqc4FplQl0KRB\nqcpUanji6GEPIZ4Qdu9eSUGBThuqDgIabGH+kr3Mnj37RKHLBX366HoNqsbTpEGpyuL1wubNJXoa\nDu6qQ9dOQbzwwvMs1e7taqH1BQUcOxTFJ598XrJChyhULaBJg1KVZedOiImBsLCior99Ph1fVLKu\nBFmNdGnaFoncR8KqUkMRmjSoWkCTBqUqS6n5DABbtnho1iwLr9erO1tWEx6Xh7rNDrAtNbDkkFLf\nvpCYaPUoKVVDnWlxJ6VURSnjcssDOyPpf3kUD930ia4EWY3cNqwfQYHv4Ha7TxTWrw8NGlh/z110\n/TlVM2lPg1KVpVTS4DM+AtI607GFm759+zoYmDpbzS/I4Jsl29m4cWPJir59YdkyZ4JSqhJo0qBU\nZSm9RoPPRW5qM554/EaSkpIcDEydrQti81izKZ8PP/qwZEXv3tYQhVI1lCYNSlUGY06a0/DuwoUE\n1znKxo0r6aV7FlQrA3vFQGp7lmwoNfGxd2/taVA1ms5pUKoypKSAiHX1hG1B0h5C68fQonVXQkJC\nHAxOna26dSEwJI+V+w6VrOjZ00oOc3IgONiZ4JTyI+1pUKoyFM5nKDbZcf0GL60vyOPRRx91MDB1\nruK6hnDvsFcxxpwoDAmB2FjQjcdUDaVJg1KVodR8BoDDu6Po1yua3/zmNw4Fpc5Hty6BHMqJJj09\nvWSFDlGoGkyTBqUqw9q10KlTiaJYRvPeq4+SkpLiUFDqfMR28PL2/F94b8p7JSs0aVA1mCYNSlWG\nNWuge/eih/vS95G05jhBQTtp0KCBg4Gpc9WjayCBqT34YcMPJSv69NErKFSNpUmDUv5mjJU0dOtW\nVPTTxl/JOB7ARRe1dDAwdT7i4qDgQDdWHCw1f6FzZ9i9G44fdyYwpfxIkwal/G3XLmu/ifr1i4p+\nWHqUyKY7ue66axwMTJ2PunWhaRPDgAZ3l6zweKxepeXLnQlMKT/SpEEpfyvVywCwcpWhWy8vY8eO\ndSgoVREuHRhKz3b3nFzRp4/Oa1A1kiYNSvlbGUlDk+Oj2LXqy5KX66lqp29fw5/f+YIPZn5QskJX\nhlQ1lCYNSvlbqaTBGMOSxCzqhG/XTaqquX79BPfe/sxZO6dkhV5BoWooTRqU8rfVq0tcObH3SCoH\n9kYyeLBeNVHdde0KvmMtWLan1MZVbdtCejocPOhMYEr5iSYNSvlTVhbs3Ant2xcVfbdkN556Oxg6\n5CIHA1MVISAA2nXIJOzQpSUrRCA+XnsbVI2jSYNS/rR+vZUwBAQUFf20NIOWnY5w+eWXOxiYqiij\nhtVnbK//O3l+ig5RqBpIkwal/KmMSZBpG1sQFbDLoYBURevbF/72wffMXDKzZIUmDaoG0qRBKX8q\nNZ8BYP2KQOqw3aGAVEXr2xfy9/Rk1vKvSlYUrgypV8ioGkSTBqX8qVRPg88H23aHEzdEP3o1RfPm\nEOB288vGvSUrmjSBoCDYscORuJTyB/3mUspfylg+eu2GbAg5wnXDhzoYmKpIItC+w1GOb+pwcqUO\nUagaRpMGpfxl3z5rSeGGDYuK5iw+QETLLfTs3tPBwFRFu/7qVtzQ+ZWTK3RlSFXDaNKglL+sXn3S\nJMglP+ZwQcsMXC796NUk/fq5eG9mMrN/nV2yQleGVDWMfnMp5S+ltsMGWLPERbvgDIcCUv4SHw/H\n9rbik6UzT65YsQK8XmcCU6qCadKglL+Ucbnl9n11aDc406GAlL9EREBY3YP8vLLUdtj16lkTItev\ndyYwpSqYJg1K+UuppGH+wrX4TCD3XD/SwaCUv3SMPUbK1lYnVxReeqlUDaBJg1L+kJsLW7dCx45F\nRSt2+QhrsZkW9Zo7GJjyl5uua8dlYU+eXKFJg6pBNGlQyh/Wr7c2LQoKAiA7O5uPpybTK87tcGDK\nX4YMCePHpTnM3zq/ZIUmDaoG0aRBKX8oNTTx2WefcWB1I+4aFe9gUMqfOnaEw4cCeXPepyUruneH\njRutzcuUquY0aVDKH0olDa9NeY1j3jb06OFgTMqv3G6oE72Rn5aUulIiOBg6d4aVK50JTKkKpEmD\nUv5QLGnYt28f67J2kne8AR3KWDRQ1Rw9u6SQsi6O3ILckhU6RKFqCE0alKpoxpRY2KlJkyZ0GHgd\nrdpm4vE4HJvyq4cfaEv0rvEEuoNKVmjSoGoITRqUqmi7d1sbEjRpQkFBARMnTWTfloYM6BPudGTK\nz668MpbAYGHKvDUlK/r21aRB1QiaNChV0RITrf8kRPjmm2/4cdGPxGdPYvjQQKcjU35mjI/9uW/z\nwtulkobYWDh8GFJTnQlMqQqiSYNSFS0hwUoagLfeeovGv7mAeQu8jNQ1nWo8l8tF85jVbFoaW7rC\nWlJaextUNadJg1IVzU4a0tPTSVqexMJkF1175FCvntOBqcowsKeP/APtWbfjYMkKndegagBNGpSq\nSAUF1gZF8fFERETw5dIvyd8wkuvHhDodmaokY64eRecuB0n4oVSWqEmDqgE0aVCqIq1bB82bY+rU\n4aGHHuKXnUvxbhjJlVeK05GpSnL11Vfzuzub89mXOSUrCpMGY5wJTKkKoEmDUhXJHppYtGgRCxcu\npK9nAq2bRHDBBU4HpipLRkYGr34ygu/mGPLyiiUITZpYCz1t3+5ccEqdJ00alKpIdtLw1ltvcf1t\n1/Pn1xdrL0MtEx4ezrHkDXiid/HWl6W2xNYhClXNadKgVEVKSCA/Lo5ly5YR1SeKVYuac+WVTgel\nKlv3bt3p1HMbb3y8u2SFJg2qmtOkQamKkp4O27cTEBdHcnIys1clQ1YMffo4HZiqbBdddBGXxeWT\nse6SkhWaNKhqTpMGpSpKUhKmRw/umTCBlEMpLJobyahR1iX6qnZ54okneP6JsWQeC+LrpcknKnr1\nglWrID/fueCUOg/6daZURUlIIKVlS+bOnUuDmAb0Ov40467RSy1rq/vvv5fY+C1MeOXbE4V16kCL\nFrB2rXOBKXUeNGlQqqIkJPD1oUPcfvvtfJjwNUlJMHSo00Epp4SGhhId8AsHlvdmbUqxJKFfP1i6\n1LnAlDoPmjQoVUFMYiLfpqVx6623Mul/PxLX/zih2tFQa91///38/NNfkANx/PPbz09U9O8Pv/zi\nXGBKnQdNGpSqCHv2IPn5fJqURH54PodXDeC319ZxOirloDZt2jBmzEiGDUslbN0DJyouvFCTBlVt\n+TVpEJERIrJRRLaIyKNl1AeJyCd2fYKItCpWN9Eu3ygiw4uV7xCRX0VklYgk+TN+pcotIYFtMTH8\n+NNPfLnuO8yWYYy+QnPy2m7y5Mk8+1RLpn8UwbLdK63Cjh0hLQ0OHjz9k5Wqgvz2rSYibuB1YCTQ\nCbhBRDqVOuwO4Igxpi3wT+BF+7mdgHFAZ2AE8B/7fIUGGWN6GGPi/RW/UmclIYG5R4/idrtpfugu\n4nsG0bix00GpquA//7kXd+g+7vrnZ1aBy2XNa1iyxNnAlDoH/vwp1AfYYozZZozJA6YBV5U65irg\nffv+p8AQERG7fJoxJtcYsx3YYp9PqSrJt3Qps1NTadupLS/9dz/jfxvgdEiqioiPjycq7DOS5wxg\n+xF7CWkdolDVlD+ThqZA8eXQ9thlZR5jjCkAjgHRZ3iuAeaKyHIRuftULy4id4tIkogkHTp06Lze\niFKn5fVili/nePv2LNiaRNJPUYwd63RQqqq48cYbObDvVdg5kFe+n2EVatKgqqnqOOh6kTEmDmvY\n434Rubisg4wx/zPGxBtj4mNiYio3QlW7rFuHu1kzFqxcyZtTDtKh10GiopwOSlUVISEhPPnkI1x6\n6SHC1k+wCvv0gZUrITfX2eCUOkv+TBr2As2LPW5ml5V5jIh4gDrA4dM91xhT+GcKMBMdtlBOS0hg\nR8OGbN26laXftubO8SFOR6SqmAkTJvDsU614920XSXtXQEQExMZaiYNS1Yg/k4ZlQDsRaS0igVgT\nG2eVOmYWMN6+PxZYYIwxdvk4++qK1kA7IFFEwkQkAkBEwoDLAF1aTTnrxx/5YOtWtm3LJGD/xdx9\nYxOnI1JV0NSpfyTbt5+HXv/KKtAhClUN+S1psOcoTADmAMnAdGPMOhF5RkQK9/17G4gWkS3AH4BH\n7eeuA6YD64HvgPuNMV6gIfCziKwGEoHZxpjv/PUelDojY/DNm8cnhw/z7ZIIRlyepws6qTKNHTsW\nV8HbLPu6OwcyDmjSoKolsX7Y12zx8fEmKUmXdFB+sH49OUOGMLBpU9anvc3TT7r54/guTkelqiBj\nDL16DebXDV/x2PQPearzCCtx2LcPRJwOT9UwIrLcH8sSVMeJkEpVHfPn4xkxgoeffo3slKZMGNfR\n6YhUFSUivPjiJAYPSiV78V3QqpVVsXOno3EpdTY8TgegVLU2bx7b4uJ459NsOl7yK8FBg5yOSFVh\nw4YNo2XLPHr18TLytxu49MILrUWeChMIpao47WlQ6lwVFMCiRYx//wM2L+zNUw/EOh2RqgZmzvwn\noS1m88ATO3Reg6p2NGlQ6lwtX463aVNWpTXA6wtg7PDSa5cpdbJbb72VrIOPs+7bC9nTppsmDapa\n0aRBqXM1bx57O3YkqPF46vWeq3PZVLk0bNiQa0b2pl6X77n/8yjYsAEyMpwOS6ly0aRBqXM1fz7B\no0aRc3gkt4wLczoaVY1MmjSJf/+5MT/NjiO/U3dYtszpkJQqF00alDoXWVmQmMiK+r3Iy3Nz35V9\nnY5IVSOxsbGMGdWH1t1/YWbGBTpEoaoNTRqUOheLF0P37oy79VsGD04nPEh7GtTZOXr0KNk5TzJt\n61DSvv3e6XCUKhdNGpQ6F/Pnk9m/P+mZQ3jkngucjkZVQ40aNWLVom9I7pSFa0kix9PSnA5JqTPS\npEGpczFvHgsCGuBztaZX/0yno1HVVGBgIJ98Opa9phXpP20mMTERn8/ndFhKnZImDUqdrbQ02LSJ\ndw91om7HX2gQWc/piFQ11q1tDOnxQ/nxqQX88Y9/ZPTo0aSmpjodllJl0qRBqbO1cCEMGMAvy1py\n/bhAp6NRNUDXhy4h6tfvue8vk+nUqRNxcXGsXasb+KqqR5eRVupszZ9PVv/BpDzTijuv0I+QOn9h\nIwcx0H0LbR85zr5f/4+hQ4fSokULUlNTiY6ORnQREFVFaE+DUmdr3jympHXE4/mZXh06OB2Nqgmi\nogjq2I62e3bwypRkhg8fTmRkJL/97W9ZsWKF09EpVUSTBqXOxqZNkJ7O4wvDie79o/4CVBXGPWQI\nT160iP++0IbCuZCxsbHMmzfP2cCUKkaTBqXOxowZ5F15NQc39uSWkVFOR6NqkkGDGJyVTFiI8MJ/\ndgMwePBgFixY4HBgSp2gSYNSZ2P6dKbX6UN4y828OOn/OR2NqkkGDkQSE7nmdz/w1JMesrJ9XHrp\npbRt29bpyJQqokmDUuW1cSOkpPDVnquoH/Ez2dnZTkekapI6daBTJx5tE0hY803c/8wq6taty+uv\nv+50ZEoV0aRBqfKaMQPvmGuYOyec7D3TCAkJcToiVdMMGoQsXMjfngxlyv8akZdnmDx5Ms8//7zT\nkSkFaNKgVPnNmMHXDfqSGZxMv36NnI5G1USDBsHChdx/dW/6do1m2jShZcuWzJ492+nIlAJ0nQal\nymfjRjh0iL+taEWzjon06dPH6YhUTXTRRbBiBWRl8djEIG68az8bV/di1apVZGRkEB4e7nSEqpbT\npEGp8pgxA98117Dyw1imzarHNQM7Ox2RqonCwqBHD1i8mOGXDcPnyeDpd3Zy3XXXsWvXLjp16uR0\nhKqW0+EJpcpj+nTWdryG+lEeVn0/DWOM0xGpmsoeohCBCb/P5N3XGvLWW29rwqCqBE0alDqTDRvg\n8GHe2tSbq4f7n1X3XQAAGbxJREFUmPrxVFwu/egoPxk82NrfBHjy3m74siN544NkbrvtNocDU0qT\nBqXObMYMzJhreHPKEbwxM4iPj3c6IlWT9e8Pa9dCejoBHhf//lsLvvy4A59//jmHDx92OjpVy2nS\noNSZzJjB4thLKPAVEHBkPb1793Y6IlWTBQdD796waBEAN98MP684QmzPG/jhhx+cjU3VejoRUqnT\nsYcmJibUpefgbTz/7HP4CjcGUMpfRo6E2bPhiisIChLirl7IlqU3smnTYqcjU7Wc9jQodTpTp8LY\nsexY0pvf39qSBQsWULduXaejUjXd6NHw9ddgT7j956QupGztyvU3PuJwYKq206RBqVPJy4PJk1l5\n4XWY3Ag6Nk5n0qRJTkelaoP27a1hilWrAOjdugPtB61g3Pj57N271+HgVG2mSYNSpzJjBnTqxM0z\nd9L+ovWsWJGk8xlU5RCxehu++qqo6NO/D+HXhL7MmaO7XirnaNKg1Km8+irH7h5P8k+d+cMdLVm2\nbJleOaEqT6mkoXNncDfexutT9jgYlKrtdCKkUmVZuhRSU/k/k0NgRmtGDA6nYb27aNRI95xQleSi\ni2DrVti3D5o0AeDSMcl899EAhwNTtZn2NChVlldegQkTSFs9hFFXFuD15tGwYUOaNWvmdGSqtggI\ngBEjrAmRtjcfG4EvK5bFy484GJiqzTRpUKq0vXthzhwOXDuKhV+05MG7onj66ae56667nI5M1Tal\nhiia1oshbsgKnnxqv4NBqdpMkwalSnvjDbjxRu6Z+hmH0o+xffsHTJ06lQ8//NDpyFRtM2KEtchT\nVlZR0W8vyebHOc05dtzrYGCqttKkQanicnJg8mQy77md72Y04bbx8PLL/+Drr78mJibG6ehUbVOv\nHvTqBfPnFxVde20/Chot4M8vr3YwMFVbadKgVHFTp0JcHB8cX4dv3RgeuDuSFStW6A6Dyjmlhyia\nNqVeg6l88FYEutmqqmyaNChVyBh49VV46CH2/nwhAYGJrFw5G7fb7XRkqjYrXB2y2PLli6c+Q16u\niymztzsYmKqNNGlQqtDMmeDzsbt3R/79YiaDB2znqquucjoqVdu1aweRkbB8eVFR00aNuWR4MlPf\nredgYKo20qRBKbCWjP7Tn+Cll7jlny+QmdOYTz+9zemolLKUGqLIy8sj8cv7WLwgku17sk7zRKUq\nliYNSgG8/jrExrK/WxcSf+7CzbcagoN1WEJVEVdeCV98UfQwOjqadu3qE955Lg88u8rBwFRto0mD\nUmlp8Nxz/DBqFD2v60P+ynH8+cEGTkel1AkDBsDRo7D6xBUTQ4YMIb5LAnOmtSI7N9/B4FRtokmD\nUn/9K6mDBnHtU09xx7DP6dw+iA4dnA5KqWJcLrjlFnj//aKi++67jxd/P47Q+kd45DXdxEpVDk0a\nVK2VmZnJ1jlz4MMPuX3XLp7713Ms/qk9D94b7nRoSp3sllvg448h3+pVaN26NV6vlz8/GM6qWbof\nhaocmjSoWmfy5MmMHDmSRo0acfzee+GRR5jy/fdsEMPSJcK11zodoVJliI2FNm1gzpyiorvvvptu\nrTexOTmUd75f7GBwqrbQpEHVaD6fj4SEBP7yl7/w97//HYBDhw5x2223sX/6dHp6vfDww4SHh/Pm\n822488E0wrWjQVVV48eXGKIYMmQIP/88nzE3HuH+Z9ZyJFs3slL+pUmDqnEyMjLYs2cPPp+P2NhY\nbr/9dgoKChg8eDAAkyZN4rpRowj//e/hpZcgJIRXpv1K3v4O/N9jLRyOXqnTuP56mDvXmryLlTTM\nnj2bRx+qi1l9E898/w+HA1Q1nSYNqkbIzc3l9ddfZ8SIETRu3Jj3338fl8vFkiVLWLduHS+88ALx\n8fEnnvDII9CnD2bsWFLSD/POC5147jkfISHi3JtQ6kzq1oWRI2HaNAAGDBjAxIkTadXKxaUXu3n3\nw1wy8zIdDlLVZGJqweLl8fHxJikpyekwVAXyer0sW7aMr776ih49enDNNdfwwAMPMGjQIC677DIi\nIyNLHH846zCb0zaTkpnClRsM6fffxZV/as6q7G3kJt1Ah53/YHlCCKI5g6rqvv0WnnoKEhKKiubO\nncvSpRFM+6QPv65xoyufKxFZboyJP/ORZ3leTRpUdZGenk5BQQFer5fOnTsTExPD6NGjuemmm+jS\npQten5ekfUlsSdvC5rTNNItsxp1xd3LZh5eRsDeBdlHtGBjQln9O/IGdb7/Mvm6taRLcjgt7RPPZ\nZ0K/fk6/Q6XKoaAAWrSABQsovDZ42bJlXH75KFq23EHdgV/w2mNxdKiv1w3XZv5KGnR4QlVpR48e\n5bXXXmP48OE0bdqU6bOmUzeqLjMXzuTa165ld+/d3LH0Dj5a8xEGw4PfPchXm77C6/PSPLI5ADOv\nn8nRPx8l6c5E/vnJUbjnHlqOupH+zfvz7uv1ufhiTRhUNeLxwE03lZgQ2bt3b5577lnS0m4n4cPR\nPPrN3xwMUNVk2tOgqhSv18u8n+cxde5Uuvbrys19b2bs02M50PIAh81h8n35JN6VSIArgHdXvUu7\nqHa0jWpL5wadqRtc9/Qnf/VV6zr3n38Gj4e9e6FbN2sfoFatKuXtKVUx1q6FESNg504KxyKMMTz/\n/PMkJE5gQdbbzH93AH2a9nE4UOUUHZ44D5o0VD0+42PF/hVsPryZdfvX0aROE/oF9KP/v/tT0LSA\nGHcM/S7oxxe3fMHG1I2kZqXSLrodMaExyLlMPFiyxFq/f8kSaNuW9HRrD6ABA+DZZyv+/Snld/Hx\n1iZr111Xonjt2uP07ufmxZlzeHDYGIeCU07zV9LgqegTKlXoeO5xQjwhHMg4wHur3mNz2ma2pG3h\nd/G/Y1jDYYx9ZyzZB7I5svUIz97zLB2Hd2T5pOV0btu5RGLQvn572tP+3APZuhXGjLG6c9u25fBh\nawJ6XBw880wFvFGlnPDaa1bm264d9OxZVBwRcQQ3n/PNP27g9ksyCA/UhUdUxdGkQZ2zvcf3ciDj\nAGnZaWzfLozpMZT5Bz7h1cRX2Xx4M1n5WSTcmUBoQCiZeZk0zW+Kb6uPPkP7sHPHTgZtHcTo0aMZ\n9vwwIiIiAOjSrkvFBpmWBqNGweOPw+WXs28fXHaZVfTCC+jVEqr66tcP3njjRA9as2YAtGzZko8+\n6saYa6HHX+5k04sf4xKdvqYqhl+HJ0RkBPAK4AbeMsa8UKo+CPgA6AUcBq43xuyw6yYCdwBe4EFj\nzJzynLMsOjxRNmMMGXkZHM4+TFp2Gt0bdmfXsV18t+U70rLTOJx9mHFdxtGlQRcu+/CyouOGXzCc\nD67+gHGfjmP9rgMc+fZhDiUMITI4nAcmHmTgbzbRvn47wkwYkZGRzJo1izvuuIMmTZowevRoJkyY\nQKNGjfz/BnNzrQyhd2946SW2b4ehQ+Guu+DRR/3/8kpVir//HaZMsebq2Mk3wJgx3/Ltqije+XI7\nN3Qd52CAygnVbk6DiLiBTcAwYA+wDLjBGLO+2DH3Ad2MMb8TkXHA1caY60WkEzAV6AM0AeYBsfbT\nTnvOstT0pKHwP/9gTzC53lyW7llKWnZaUSLQv3l/Hvz2QXYc3UFadhrN6zRn6jVTuXPWnUxbO43o\n0GiiQqJYcMsCth7Zylsr3iIqJIrokGhGxY6ifXR7Fu9eTFRIVNHNTSBvvQVPPAFjx1rd/Hv2wO23\n55KWdpgGDZ5k/fppbNiwgYCAALKzs2nZsmVlNgrccgvejCwW3juD7+a6mDLF6nC4777KC0MpvzMG\nfvc72LULvvrKuroC8HqhXed0DgT8xGuPXMaokR4aNnQ4VlVpqmPS0B94yhgz3H48EcAY83yxY+bY\nxywREQ9wAIgBHi1+bOFx9tNOe86ytA9vbN7semuFvTcnZGRl8mvKejzeYMQE4DHB5JCFcXtBvIh4\nCSQA8JHrzgUMYYRifAaXy0WGNwMM1KEexhtEns9NXo4LX34gHnERFuwm130M48omNy8dNy4ahjck\n06TjdXvJSM8G4yYmqBG5Ph/ZOeF4fRn46s2leWQQ9cNiOBh8gNRDh8k73BH3sUF07BDAgYxt5BTk\nAODCRcemndl3+CBpmUfBCMbnomFkY1ziZt+R/VhXAfuIDA2lSf2GbEvZhNfkAYJHAmnbqB17U/dx\nPDcdwQdiuKBhG8ICAwjKzyAoL52g3OOEZx4gOxsuLljIBV1DGTHC6sXt0cO5v0Ol/KagAK64AgIC\noMuJIb70DC+TP15EkLcjGRnRBIVnUbdROrkZWYSYEDIlE9xCcFA4Wek+3Dlh5BQIBT4IDnGDKxeP\nz4vHXUC2O4OQkGDcHjf5GbkEE0S6pOMJ8BASEkJ2Zg4hBcFkk0O+5BMREUlubi4BOQH48JElmYSF\nhSIuoSC9gCCCOC7HCQwMJDg4mOyMbEK8IWSRhc/tIzw8nJycbIJyg8knn2zJJiI8Ap/Pi8k0eAjg\nuBwnJDiYwMAgso9nn3hPHggLDSM7O5uQvBByySVHcoiMjCQ/Lx9XtgtByJAMQkNC8Xjc5B7PI5jg\nEu/Jl+ejVUwr5/5ez8OgpS9Uu4mQTYHdxR7vAfqe6hhjTIGIHAOi7fKlpZ7b1L5/pnMCICJ3A3cD\ntAqOgVIrBFY3Eugi/VgOdQPcBHkMxpOFNzuDrKxcIqQejSObczj/CAXGS8bRbDzioWG9JqR708l1\n5ZN1PAef10u9yHBcgXl4g1PwZh0iMyeVxiFNaBDZhj05qeTnuMk4UkCgKxBfeDB53jwKxEtGTgZI\nDk3qg49sTOhu0gtWkZmZiS88Fk+9euR5j1KvZQtomUmDkPXUKbiU3TuCyc2zElO3y4U7KhK3OUqB\npwBx+RDxEd0skKCAQPbvPAJiwAghYSHUbRiJN9tNbn4gIgYJcBPaKBIXBynIKLCSDuPCVTccX1A4\nxwJbkhcUUXQLHNiX5CtDiYpy+C9PKX/zeGD6dJg8GfLyioojImH8bQNZ9esqdhQsIdC0oyCzMXle\nHwGEkmsKkAAhtF4AnogjRBlDjucIGa40Gsa0ION4ASYtCF9BIPk+CAoPwOUJIN8HHkLJM/n4gjwE\nhIWSbyDQa/2ZJ4IvMpiCHIPLE4gPQ57JJyg8FBHI9xbgJphck4uEBOMJCSHfawjwhZKPjwKXl+Dw\nUPJc4HaHkE8eucZHSHgoXq8X68euh1yTizs0BFdwMHn5psR7CgoPJV8MAZ5Q8nGRawze8DDyc3Nx\niwvBRa7JJyAsBAI85Be4TnpP3lxvtf+/o6LV2ImQxpj/Af8Da3ji0jkTHY7o/I1yOoBzMPAsjr24\njLKy1lwacI6xKFWjRUZae6qUEg0MqfxolNNkkl9O688ptXuB5sUeN7PLyjzGHp6ogzUh8lTPLc85\nlVJKKeUH/kwalgHtRKS1iAQC44BZpY6ZBYy3748FFhir32kWME5EgkSkNdAOSCznOZVSSinlB34b\nnrDnKEwA5mBdHvmOMWadiDwDJBljZgFvAx+KyBYgDSsJwD5uOrAeKADuN8Z4Aco6p7/eg1JKKaVO\n0GWklVJKqRpGd7lUSimllKM0aVBKKaVUuWjSoJRSSqly0aRBKaWUUuWiSYNSSimlykWTBqWUUkqV\niyYNSimllCoXTRqUUkopVS6aNCillFKqXGrFipAikg5sdDqOaqA+kOp0ENWAtlP5aVuVj7ZT+Wlb\nlU97Y0xERZ+0xm6NXcpGfyynWdOISJK205lpO5WftlX5aDuVn7ZV+YiIX/ZO0OEJpZRSSpWLJg1K\nKaWUKpfakjT8z+kAqgltp/LRdio/bavy0XYqP22r8vFLO9WKiZBKKaWUOn+1padBKaWUUuep2iQN\nItJcRBaKyHoRWSciD9nlUSLyvYhstv+sZ5eLiLwqIltEZI2IxBU713j7+M0iMr5YeS8R+dV+zqsi\nIpX/Ts+PiASLSKKIrLbb6Wm7vLWIJNjv7RMRCbTLg+zHW+z6VsXONdEu3ygiw4uVj7DLtojIo5X9\nHiuSiLhFZKWIfG0/1nYqg4jssD8bqwpnZetn72QiUldEPhWRDSKSLCL9tZ1OJiLt7X9LhbfjIvKw\nttXJROT39nf5WhGZKtZ3vHPfU8aYanEDGgNx9v0IYBPQCfg78Khd/ijwon3/cuBbQIB+QIJdHgVs\ns/+sZ9+vZ9cl2seK/dyRTr/vc2gnAcLt+wFAgv2epgPj7PL/Avfa9+8D/mvfHwd8Yt/vBKwGgoDW\nwFbAbd+2Am2AQPuYTk6/7/Norz8AHwNf24+1ncpupx1A/VJl+tk7uZ3eB+607wcCdbWdzthmbuAA\n0FLb6qS2aQpsB0Lsx9OBW538nnK8Uc6jMb8EhmEt2tTYLmuMtSYDwJvADcWO32jX3wC8Waz8Tbus\nMbChWHmJ46rjDQgFVgB9sRZD8djl/YE59v05QH/7vsc+ToCJwMRi55pjP6/ouXZ5ieOq0w1oBswH\nBgNf2+9b26nsttrByUmDfvZKtkcdrC940XY6q3a7DFisbVVm2zQFdmMlRR77e2q4k99T1WZ4oji7\ny6Un1q/ohsaY/XbVAaChfb+wsQvtsctOV76njPJqR6wu91VACvA9ViZ51BhTYB9S/L0VtYddfwyI\n5uzbrzr6F/AnwGc/jkbb6VQMMFdElovI3XaZfvZKag0cAt4Va8jrLREJQ9vpTMYBU+372lbFGGP2\nAi8Bu4D9WN87y3Hwe6raJQ0iEg58BjxsjDlevM5YqVKtvxzEGOM1xvTA+iXdB+jgcEhVjohcAaQY\nY5Y7HUs1cZExJg4YCdwvIhcXr9TPHmD9sosD3jDG9AQysbrYi2g7lWSPxV8JzChdp20F9pyOq7AS\n0iZAGDDCyZiqVdIgIgFYCcMUY8zndvFBEWls1zfG+nUNsBdoXuzpzeyy05U3K6O82jLGHAUWYnVB\n1RWRwmXDi7+3ovaw6+sAhzn79qtuBgBXisgOYBrWEMUraDuVyf7FgzEmBZiJlYzqZ6+kPcAeY0yC\n/fhTrCRC2+nURgIrjDEH7cfaViUNBbYbYw4ZY/KBz7G+uxz7nqo2SYM98/VtINkY83KxqllA4YzZ\n8VhzHQrLb7Fn3fYDjtndXnOAy0Sknp3FXYY1prMfOC4i/ezXuqXYuaoNEYkRkbr2/RCseR/JWMnD\nWPuw0u1U2H5jgQV2hj8LGGfPxm0NtMOaWLQMaGfP3g3E6lqc5f93VrGMMRONMc2MMa2w3sMCY8xN\naDudRETCRCSi8D7WZ2Yt+tkrwRhzANgtIu3toiHAerSdTucGTgxNgLZVabuAfiISar+Pwn9Tzn1P\nOT3R4ywmhFyE1VW1Blhl3y7HGq+ZD2wG5gFR9vECvI41nv8rEF/sXLcDW+zbbcXK47G+DLcCr1Fq\nQlN1uAHdgJV2O60FnrDL29j/SLZgdQUG2eXB9uMtdn2bYud6zG6LjRSbeWy3+ya77jGn33MFtNml\nnLh6Qtvp5PZpgzWrejWwrvC96GevzLbqASTZn78vsGb0azuV3VZhWL+C6xQr07Y6uZ2eBjbY7+VD\nrCsgHPue0hUhlVJKKVUu1WZ4QimllFLO0qRBKaWUUuWiSYNSSimlykWTBqWUUkqViyYNSimllCoX\nTRqUqsFExCvWLoLrxNr59BERcdl18SLy6mme20pEbqy8aE96/RARWSQi7nN47hUi8ow/4lKqNtNL\nLpWqwUQkwxgTbt9vgLWj52JjzJPleO6lwB+NMVf4N8pTvv79WJvyvHIOzxWszdoGGGOyKjw4pWop\n7WlQqpYw1hLQdwMT7JX1LhWRrwFE5BK7R2KVvdlSBPACMNAu+73d8/CTiKywbxfaz71URH4QkU9F\nZIOITLH/00ZEeovIL3YvR6KIRIi1odr/icgyEVkjIvecIuSbsFe6s1/jRxGZLSIbReS/xXpMRtjx\nrBaR+fZ7NcAPgCMJj1I1lefMhyilagpjzDa7u79Bqao/AvcbYxaLtSlcDtZmS0U9DSISCgwzxuSI\nSDus5X/j7ef3BDoD+4DFwAARSQQ+Aa43xiwTkUggG7gDaxng3iISBCwWkbnGmO2FwdhL2rYxxuwo\nFmMfoBOwE/gOGCMii4DJwMXGmO0iElXs+CRgIDD93FtMKVWcJg1KKbD+o39ZRKYAnxtj9tidBcUF\nAK+JSA/AC8QWq0s0xuwBEGtb9lZY2/LuN8YsAzD2rrQichnQTUQK186vg7UW/vZi56sPHC31+onG\nmG32OaZiLS2fC/xYmHAYY9KKHZ+CtTOgUqqCaNKgVC0iIm2w/sNPAToWlhtjXhCR2Vjr0C8WkeFl\nPP33wEGgO9bQZk6xutxi972c/rtFgAeMMXNOc0w21jr6xZWegHWmCVnB9nmUUhVE5zQoVUuISAzw\nX+A1U2oGtIhcYIz51RjzItbOdx2AdCCi2GF1sHoOfMDNwJmuatgINBaR3vZrRIi1Xe8c4F6xtrpH\nRGLF2j2ziDHmCOAWkeKJQx97Nz4XcD3wM7AUuNjeuY9SwxOxWJv8KKUqiPY0KFWzhdjDBQFAAdYu\neS+XcdzDIjII8GHtZPmtfd8rIquB94D/AJ+JyC1YcwoyT/fCxpg8Ebke+LdY27RnA0OBt7CGL1bY\nEyYPAb8p4xRzsYYg5tmPl2HtVtgWa2vgmcYYn4jcDXxuJxMpWNvBAwwCJp4uRqXU2dFLLpVSVZKI\nxAG/N8bcfLaXf4pIQ+BjY8wQf8aoVG2jwxNKqSrJGLMCWHguizsBLYBHKjgkpWo97WlQSimlVLlo\nT4NSSimlykWTBqWUUkqViyYNSimllCoXTRqUUkopVS6aNCillFKqXDRpUEoppVS5/H+rxlN5AIqb\n4gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BHDlyhNmzZ5u3F3U5amtsLYtdWJMmTeLJJ5/MMxAy9zatNUuXLmXs2LG0adMG\nBwcHnnzyyVuKuU+fPhw5csQ8ELKw5zBw4EAeeOAB82DGMWPGkJycTPv27bnvvvto27YtQ4YMoWPH\njlb3X7BgAYsWLaJNmzY55kcZP348ISEhtGnThs8//5yWLVsC4OnpSffu3WndujXTp0+3Wa8sydLY\nQlQEnTvDW28ZvQG5XL0KDRtCr16HefYFB5788x7e7P8mI1uO5Or1q3wd/jWPtnsUpRQDBjzJnj0L\nOH3aBQ8PK+383/8ZyYPFKHJxU3leGluWo664ZGlsIUThpaVBeDgEB1vdvH49dOoEa9b48/6Zf9Kv\nUT9GthwJQBXnKjzW/jFCzobw5I9PsnTZLIYPd2ThQhttdetmDLgUQtyRJGkQwt79+Se0bGn0AFix\nYgXcd991PII8OJt8lncH5e2WDqgTQMSlCF7Y9gJDhoWxYIExwWQeXbsal0Kysor5JERJk+WoRXGQ\npEEIe5fPeIZz54whCC0Dj1M7pTZbJm3BxcklT73KlSrzw/0/cPLiSf7+01D69IGPPrJywDp1oFYt\nsDUJlBCiQpOkQQh7l0/S8NVXMGBYCiM29qdu07pWE4ZslStV5vv7vyf5t2RefCmdt9/W5BqnZujW\nDaxM1SuEqPgkaRDC3u3ebQyEtGL58iwO1p3OaJ/RDOs1rMBDeXl64enoycrYmTjVD2Xxp5l5K3Xt\nKkmDEHcomdxJCHuWlGRM6di0aZ5NBw/CqfNX6N/xIh/ct7pQk/kAfPTRR7Tr1I7fu37Kuyucee7Z\nwJwVunWDBQuKI3ohhJ2RngYh7Nnhw9CqFTjk/VP+/HPNow+5sGzUEt555x02bdpUqEMOGTKEam7V\nePfByZw5aWUp39at4exZSEi43ehFMUtISCAoKIigoCC8vLzw8fExPy/KapdF1aNHD8LCwgBjQiRb\nkzcBvPPOO/nOavjwww9z/PhxMjIyqF69epHi2L9/Pz///LP5+bp165g3b16RjiHyJz0NQtizw4ch\nICBP8d7ToSz8zI/9O2pS1UWxceNGWrVqVahDfvzxx4SFhfH++x/jmKxJTwcXy6EQjo7GPZy7d8Ow\ngi95iNLj6elp/vCePXs27u7uvPjiiznqmBcespJoFoeNGzfmu/2dd97hkUcewdXVNc+2zMxMli5d\nCmCetroo9u/fT3h4OIMHDwZg1KhRRT6GyJ/0NAhhz8LDjW/+uUz78Ae8vDNp1cq4JHH69GkaNGhQ\nqEO2bNmSY8eO4eKiqOd7nb2HrPQoyGBIuxIZGUmrVq0YP348AQEBnD59Ose3+JUrV/LYY48BcP78\neUaPHk2HDh3o1KkTu3fvznPo/Az4AAAgAElEQVS81NRUxo4di7+/P/fee2+OngNfX1+SkpJITk5m\nyJAhtG3bltatW7NmzRreffdd4uPj6dmzJ/379zf3JkybNo3AwED27t2bo9cCYOrUqQQEBDBgwAAS\nTL1blnXi4uJo2rQp165dY86cOXz55ZcEBQWxZs0aPv30U6ZNmwYYy1T36dOHwMBABgwYwJkzZwB4\n8MEHee655+jWrRuNGzdm3bp1xfzqVyySNAhhz2z0NIT/2p77HzAGMWqtiYuLo379+oU6pL+/P0dN\nt1TeqHGYNVvD81bq2lUmebIzx44d4/nnn+fIkSP4+PjYrDd16lReeuklQkJCWL16tTmZsLRw4UJq\n1KjB0aNHmTVrltW1GzZs2ICfnx8HDhwgPDycAQMG8Pzzz1OnTh22bdvGb7/9BhjrK/Tq1YuDBw/m\nWQ/j8uXLdO/encOHD9O1a1deffVVm3G7ubnx8ssvM378eMLCwhgzZkyO7VOmTOGxxx7j4MGDjB07\n1pxMAMTHx7Njxw7Wr1/PP/7xD5ttCEkahLBvVnoakpM1aUf68dTDNQBjlb2LFy9SrVq1Qh3Sy8uL\nv/3tb1y/fp2GTa5x6IiVa+FdusC+fXALXch3lNJeGzsfTZo0oUOHgmcV/u2338zrP9xzzz0kJibm\nWSNi69atPPjggwC0a9eOACuJa2BgID///DMzZsxgx44deFidlxycnZ1tXkZwcnJi7NixgNEjsH37\n9gLjt2XPnj2MGzcOgIceeoht27aZt91zzz0opQgMDMyxRoTIS5IGIezVhQuQng7e3jmKf/hBMbBP\nFRp4G9eMY2Nji9TlqpRi0aJFODs709rfiRORznkr1agBDRoYt2gI27Qu/sctslzy2cHBAct1hywv\nL2it2bt3L2FhYYSFhREbG4ubm1uR2/P39yckJISAgABmzJjB66+/brWem5tboe/sya7n5ORElmlW\n0uJYKtrFYtDOnbAe0+2QpEEIe3X4sNHLkOsN9/vNp0mt96v5eUhICMuXLy/SoV977TW+/PJLBndp\nhGtSoPVKconCbjk4OFCjRg0iIiLIysrKkVT279+fRYsWmZ9bji/I1qtXL7766isADhw4wOHDh/PU\niY2Nxd3dnQkTJvDCCy+wf/9+IP+lsXPLyMhg7dq1AHz11Vf06NEDMBbfCg0NBWDNmjXm+vkdu0uX\nLqxevRqAL774gl69ehUqBpGTJA1C2Csb4xkOHbmBa51T5ucxMTGFHgSZzdnZmdDQUO7qUJe46Opk\nZVn59iWDIe3af//7XwYNGkS3bt3w9fU1ly9atIgdO3YQGBhIq1at+OSTT/Ls+8wzz5CQkIC/vz+v\nvvoq7dq1y1PnwIEDdOzYkaCgIF5//XVmzpwJwBNPPEH//v3p379/gTF6eHiwbds2AgIC2L59O7Nm\nzQJg+vTpLFiwgPbt25OYmGiu37dvXw4cOEC7du1yJBPZ57V48WICAwNZtWrVLS8NfqeTpbGFsFdT\nphgLVU2dmqO4us95prz1G6/fPx4w3mA9PT2ZMWNGoQ/9ww8/8OGHH7JhwwYcq1xiz5+pdGjum7PS\n0aPGLZcnTtz2qVQU5XlpbFFxlebS2DJPgxD2Kjwcco0Qv34dkuNr0jWwtrls8uTJOa7ZFkZAQID5\nPn53n1i2hKbnTRpatDBmpIyLAy+vWzsHIYRdkcsTQtgjra1enjh5EvwaVGJ4wECLqpq6desW6fCN\nGzfmxx9/BKBew8uEHLCyTraDg4xrEOIOI0mDEPYoLs740K5TJ0fxwcPpONWJylHWp08f4uLiitzE\nvHnziIiIoFNbD1LO2bivv2tX2LGjyMcWQtgnSRqEsEfZvQy57pzYFXaJi24372W/ceMG8fHxeOe6\nLbMw9u7dS0hICGPvakPmhWbWK3XtCnv2FPnYFdmdME5MlB+l/f9NkgYh7JGN6aMPHknDt1Gq+Xls\nbCxeXl44ORV9+FL2zJCevhfZHGKjp6JjR/jzT7hxo8jHr4hcXV1JSEiQxEGUCq01CQkJVtfxKCky\nEFIIe3T4MLRvn6c4MsKJLg/e/C7g7OzMSy+9dEtN+Pv7s3btWv7xz+pcS8wgMfkaNarmmuSnWjVo\n2BAOHbIaz53G19eXM2fOcOHChbIORdwhXF1dc9wyW9Lklksh7FHXrvDmm9CzZ47i2rWz+GXHBdo1\nL9rAR2vS0tLQWuPm5oaLVxRfr8xidG8rlykeecTocXjqqdtuUwhRPErqlku5PCGEvbFx50RiIqSm\nZdHC7+YaE2+//TZvvvnmLTXj6urKxo0biY+Pp65fEgcO25iut0sXGdcgxB1CkgYh7M3p0+DuDjVr\n5ig+fhyue4Rz5fplc1lERATu7u633NSKFSv45ZdfGN8nmEqJbaxX6twZrCyfLISoeCRpEMLe2Jg+\nOvRQCnhGULfKzUsTp0+fLvSS2Nb06dOHTZs2UcXrNP/bGWW9UkAAxMYaXR1CiApNkgYh7E14uNWk\nYd+By9RukJBjxcDatWvTpEmTW26qb9++/PHHH9RueIlDR9OtV3JyMgZB7tt3y+0IIeyD3D0hhL05\nfBhMq/1Zij9dgwf65Bz3tGzZsttqyt/fn9WrV1PNqx5Xz7mRlaVxcLCyjHH2uIaBA/NuE0JUGNLT\nIIS9sdHTEHPClfEWScOVK1eYMmXKbTWllMLb2xt99RKq0jUOn7hkvaKMaxDijiBJgxD2JCvLWF0y\nV9KQmQnHjmdw4MY35rJTp06xZcuW225yw4YNvPbaa3QKrEZcdHXrlTp3Nnoa7oBbuIW4k0nSIIQ9\nOXkSPD2NSZUsxMSAg/slAnz8LMpiaNCgwW032bdvXzZt2kSDJtfYvv+i9Uo+PuDqKstkC1HBSdIg\nhD05fNjq9NHHjmkyax6lmefNyZdiYmJu686JbI0bN8bR0ZHzDlv4364I2xVlvgYhKjxJGoSwJ0eO\nQKtWeYoPHblO8+ZZVHe9eflg8uTJzJ8//7abVErx2WefEdSmMqdPVLFdUcY1CFHhSdIghD356y9o\n0SJPcXSUC08N7pej7I8//uDSJRsDF4uoX79+tGvhRuKZOrYrZY9rEEJUWJI0CGFP/voLmjfPU7xt\n/3kOZ67NUTZnzhyiomxMyFREZ8+e5YVH74WrdUlNtVEpONi4syPdxnwOQgi7J0mDEPbkr7+gWd5F\no6KjXKjuez5HWXENhARj9caa1Tyo73ud8CPXrVeqUsVIaMLCiqVNIUT5I0mDEPYiKQlSU6FevRzF\nKSlw7YobnVp5mcsyMzM5d+4cPj4+xdZ83759iXfZzrod4bYrybgGISo0SRqEsBcREcY3eZVzRsa/\n/gLXOrG0rH3zskVWVhZr167F2dm52JqfNGkS9epf4cDha7YrybgGISo0SRqEsBem8QwZGRkkJyfn\nKB7SpTEBdW5O+HT9+nW6detWrM137dqVDsEeREY42q4kSYMQFZokDULYC1PSsHz5cjw9PRk6dCgp\nKSmEHEzmsvveHFV//PFHJk+eXOwh7P5lOSlnvG1XaNkSEhLgwoVib1sIUfYkaRDCXpiShtOnT/PM\nM88wefJk3N3dWbfhCLvOLWP58uUkJSUBxTsI0lK/oPoknqlje7ZoBwejt2HnzmJvWwhR9iRpEMJe\nmJKGWbNmMXfuXEaOHAlAempDWvk7sn79eho1akRSUhLh4eElkjQMGdKRdFKJjr1qu1KPHrBjR7G3\nLYQoe5I0CGEPtDbfbrlp0yZzj4LWEH+mOqOGBbBu3TrOnj1L9erV6dGjB927dy/2MHr37o2jZxR/\nhJyxXal7d9i+vdjbFkKUPUkahLAHcXHg5gY1avDKK6+YJ22Kj4eqlZ2Z3P0+ANzc3AB4/PHHCQ4O\nLvYwatasiU/Tq+w5kGS7UufOcOAAXMvnLgshhF2SpEEIe2AxqdP58+fx8jLmZIiKgtq+ybg7u5da\nKJXdzrD5t3O2K1SpYqyPERJSajEJIUqHJA1C2AOL6aPj4uKoW7cuAEePXyci62dUrrkbStKo9q24\ndLRW/pVkXIMQFVKJJg1KqcFKqeNKqUil1Awr212UUqtM2/copfxM5Z5KqU1KqRSl1MJc+2w2HTPM\n9MhnBR0hKgjTxE5aa1asWIG7u9GzEHokiRo+l3BycCq1ULr1r0VCWi2u5Xf5oUcPGdcgRAVUYkmD\nUsoRWAQMAVoB9yulcq/p+yiQqLVuCrwL/NdUngb8C3jRxuHHa62DTI/44o9eiHLG1NNw48YN+vTp\nY+5ZOHw8jfp+NtaCKCHt2laFND+iowsYDLlzJ2RllV5gQogSV5I9DZ2ASK31Ca31dWAlMDJXnZHA\nctPPa4B+Simltb6qtd6OkTwIIUxJQ0hICEOGDDEXJ8fV5pE+d5VqKN41a+BQLZ5L6dVsV/Lygpo1\n4ejR0gtMCFHiSjJp8AFOWzw/YyqzWkdrnQFcBjwLceylpksT/1KleTFXiLKQmQknTkDTpjkGQQKc\njnZldPe2pR6Su1cs02Z9kH8lufVSiArHHgdCjtdatwF6mh4TrFVSSj2hlApRSoVckClthT07dQrq\n1gU3N86fP28eBJmcDJcupxF5Y1uphzS6exsO/JqWYw2MPGQwpBAVTkkmDbFAfYvnvqYyq3WUUk6A\nB5CQ30G11rGmf5OBrzAug1irt1hr3UFr3aF27dq3dAJClAsWd040atSIAQMGAMbtlqrmSZp7Niv1\nkBo1u061eh3Ynl9PgvQ0CFHhlGTSsA9oppRqpJRyBsYB3+eq8z0w0fTzGOAPrW3Oao9SykkpVcv0\ncyXgbiC82CMXojyxmKNh0KBBjBkzBoADR1Ogxgm83L3y27tEaM/jpDrUJyIiwnalli3h8mU4e7b0\nAhNClKgSSxpMYxSeATYCR4HVWuvDSqk5SqkRpmqfAZ5KqUjg74D5tkylVDTwDjBJKXXGdOeFC7BR\nKXUQCMPoqfikpM5BiHLBoqfhueeeY/PmzQBERGbRvpVHqc7RkK1H+9pcv+TH1KlTbVdycIBu3eQS\nhRAVSImOadBab9BaN9daN9FazzWVvay1/t70c5rWeqzWuqnWupPW+oTFvn5a65paa3etta/W+ojp\nropgrXWg1jpAa/2c1jqzJM9BiDJnkTSEhITg6OgIwIUz1ZjUt2eZhNS9dQMyU6sx9fmZJCYm2q4o\n4xqEqFDscSCkEHcWi6TBciDk5v0xnODXMgnJtZIzfo0y2LPnElu2bLFdUcY1CFGhSNIgRHmWlmYs\nVuXnB4Crq6s5aThzyg3vhqllFlrbgMr4NuiXf9LQoYMxV0NKSukFJoQoMZI0CFGeRUUZCYOTMU10\neHg4Hh4eXL8O1xI96BqQe+qT0nPWeTPR6c6EhYXZruTqCkFBsGdPqcUlhCg5kjQIUZ5ZXJqIj4/n\nnXfeASA6GipVP4+/V9MyC61VS0eSLtXh559/zr+ijGsQosKQpEGI8swiaYiKimLVqlWmn+GudvWp\n7lq9zELrGOhBfEx1NmzYwNn8bqvs1Qs2bSq9wIQQJUaSBiHKM4s5GiwHQW4PO8f1amW7rsPATg25\nEd+YL774kk35JQV33QUhIcYUlkIIuyZJgxDlmUVPQ1xcnHndiT2HLnK16sGyjIxmvp64u7nQokUv\n9u/fb7uiuzt06iS9DUJUAJI0CFGeWfQ0jBs3jn//+98AnDzhSMtmlcoyMkOtY6S4+RAaGpp/vcGD\nYePG0olJCFFiJGkQory6csW4VdHHuEMiNjbWPLFT/JmqtA/IZ2nqUuLhfZ7E1NrMnz8//4qDBkFB\nAyaFEOWeJA1ClFdRUdCkCZimiX755ZfZsmULWVmQkeDL+F5dyzhAaNw0g6MRmbi5ueU/M2SbNnDt\nGkRGll5wQohiJ0mDEOVVZCQ0vXlLZfZAyNNnMnGrmk6dGlXKMDjD/QObc+pgfWbOnJn/rZdKGZco\npLdBCLsmSYMQ5ZWNpGHnwfOkuh8qw8BumjCyPlkJTWnatHfB4xrkEoUQdk+SBiHKq8hI4/KEyfTp\n0/H19WXvoQRqeudzKaAUVaoEPQcksiriRsFJQ//+sHUrpKeXTnBWfPvtt6TIlNZC3DJJGoQor6Ki\nzD0NWmsef/xxqlSpwqFj16jvd72Mg7tp0v3VOHegG30f6Jt/RU9PCAgo0wWsZs2axfr168usfSHs\nnSQNQpRXFpcnoqOjadmyJQBOSc0Z2bVNWUaWw+BBjjjEt+WYcyLXrxeQzJThJYq0tDQ6dOjAoUPl\n49KOEPZIkgYhyqPUVLh4EXx9AWM8g4eHBwBxp6vQN7hBWUaXg6srDBkCvy53Z+3atflXLsP5Gvbv\n388XX3zB7t27y6R9ISoCSRqEKI9OnIBGjcA0L0P2IMjMrEwOHE2hbv3ydV1+/H1uVIuZRMj+kPwr\nduwIsbHGo5QdOXKE0aNH89JLL5V620JUFJI0CFEe5bpzokqVKvTq1Yv9J6JROOLnXbUMg8tr8GA4\ne86XD6+tJktn2a7o6GgMiPzll9ILzuTIkSN07tyZHj16kCzrYAhxSyRpEKI8ypU09O/fn+nTp7Np\nfwxVvS5kz/dUblSpAv36ZuF46h5+O/Fb/pXLaL6G3r17M3jwYKZNm8aXX35Z6u0LURFI0iBEeZQr\naVi4cCEbN27kalw9/MvDmhNWPPCAKw0vvcgH+z7Iv+LAgfDrr5CZWTqBmQwfPpzAwEC6dOki4xqE\nuEWSNAhRHlncbgmwefNmLl++jENiS/p1LD+DIC0NGwZ/7auDw7kaaK1tV/TxgYYNjTkbSsmVK1fw\n8vJCa02XLl3Ys2dPqbUtREUiSYMQ5VGuiZ2yB0Iu/GELXo0vlGFgtlWrBo0axXD994FcTr+cf+WH\nHoKlS0snMODYsWP4+PiglCIgIIAxY8bkn9gIIaySpEGI8iY9Hc6eNb6NmyQkJOBRy4OEaG96dape\nhsHlb+jQa+wK8ablwpakZ+Qz8+ODD8L338PlApKLYnL06FFatWoFgJOTE6+++mqptCtERSNJgxDl\nTXQ01K9vzNFsEh4ezhXnTLhSn1Yty+eYBoDJk+tx+WIw/tU6sebIGtsVa9eGvn1h9epSicvFxYX+\n/fubn8+bN4/XXnutVNoWoiKRpEGI8ibXIMj09HSWLFnCofAsajdIsMwlyp0WLerwwAPu1Nj7Fh+E\nFDAg8pFHYMmSUolr3LhxTJo0yfy8WbNm7Nq1q1TaFqIikaRBiPImV9Jw7tw55syZg+uljgzu7lOG\ngRVOu3Zf8ccaP3q7PZv/nA2DB8OpU3DkSInH9MADD3Dhws2xIJ07d2bPnj0yrkGIIpKkQYjyxsaS\n2Is37C63gyAtJSdH0rnz/9iy6D4iE07YrujkVCoDIlNTU1m3bh01atQwl9WrV49BgwZxuZTGVAhR\nUUjSIER5k+t2y+yk4c8DGQQGlv9vxsHBwWRmfkja9QyCJr9H4rV8lvF++GFYsQJu3CixeI4fP07T\npk1xcnLKUf7VV19RvXr5HVQqRHkkSYMQ5U2unobOnTvz/Ky/k3HOnz6da5dhYIUTHBzMwYNhfPKx\nE1m/vcrCTatsV27RwjjXDRtKLJ6YmBgCAwPzlP/000/MnTu3xNoVoiKSpEGI8iQjA2JijMWqTJRS\nnE9XODo4Uq9eOZs/2govLy9OnTpFu3aKUfddZd6/6+Q/tuGRR0r0EsXIkSP54osv8pR7eHiwbt26\nEmtXiIpIkgYhypOYGKhbF1xczEVz5sxh28rL9OhYrdytOWHLvn37OHDgAB+/VQ+X04PZtCmfyypj\nx8KWLRAXVyKxLF++nFOnTpmfHzsGr78OQUHtOHr0KNeuXSuRdoWoiCRpEKI8yXVpAowxDUcvVsKv\nuf2szLhp0yZWrVpFtWqK+W87M/XFVNuVq1aFe+4xxjaUgP/85z+kpBhLiUcnnuKxxzULFsArr7jR\nrVt3TpzIZ7CmECIHSRqEKE9sJA1/nszAq0l8GQVVdO3btyc0NBSAoSOucfRkEhu35nPnx9NPw7vv\nQlJSscaRnp5OdHQ0zZo1Iz0jnUaP/IuziZcIDzcW2uzd+xcCAgKKtU0hKjJJGoQoT3LdOQEwfMRw\nkmMbMbBrvTIKquiCg4MJDQ1Fa02NKlXpMHwfM984a7N+bL16MHw4zJpVrHFERETg5+eHi4sLX+/7\niUqb3mHVUk9q1dL88gssXnydMWM2F2ubQlRkkjQIUZ5Y6Wm4e8IoSGhG5/buZRRU0Xl7e/O///3P\n/Pz16U34c1Mj4i/kXQ575cqV+Pr6kvjSS7BmDezbV2xxNG3alB9//BGAeXOr0nPAJZx8/+SeVffg\n5aVZtuws69c35/PPi61JISo0SRqEKE9yJQ1paWkM7TGN+r6KypXLMK5b4O3tTWxsLAD927Rl0LB0\nli/L+ZYTHh7Os88+y6JFi3D19oY334Qnn4TMvMnFrThx4gRVqlThzz/h4r6+fP1BE9rUbcPZ5LMs\nDVtK794NcXcfwwsvZHLoULE0KUSFJkmDEOVFVhacOAGNG5uLzp8/T2KqL23b2t+f6ieffMJHH31k\nfj7j+aq8/V5qjnzAzc2Nzz77jAcffJC4uDiYMMEYGPlBAetWFNLs2bP5/fdNjJ0Yz4PTjlGntiNO\nDk58OvxTZvw2g/NXz9O9ew2Cg2P4/fdiaVKICq1Q70RKqbVKqWFKKft75xLCXsTGQs2aUKWKuej8\n+fOk1WmOs/exMgzs1mSPa8jWvkMGF/VffLH2IllZWbz55pvUrVuXESNG8Ouvv/Lcc8+BUvDhhzBn\nDpw7d9sxHD16lIiI7py5cpaxD968+6StV1vmD54PGDND3n+/H7J+lRAFK2wS8AHwABChlHpDKdWi\nBGMS4s5kZTzD9evXyUxpRY8OHmUU1K2zHAwJUNXFnV5jD/Ha24m8/vrrfPfddzg7OwPQqVOnmwtI\n+fvDE0/A3/9+W+1nZGQQERHJx5/VwXvsf+ns2zHH9gfaPMCNzBvsObuHS5c2sHv3bTUnxB2hUEmD\n1vo3rfV4oD0QDfymlNqplHpYKVWOF+oVwo5ERkKTJjmKgjsHk3GhFYO628+dE9l8fHyYM2cOmRbX\nI/4zNYioQzV4b+EGvvnmG3PS4Ovri4ODAzExMUbFf/7TGBD5738bl21uwY0bN5g+fQ1Zjld5elRH\nlJWZsSIvRfLwhoeZ9ep9pKRoztq+wUMIQRHGNCilPIFJwGPAn8ACjCTi1xKJTIg7jZWehq9X/0Sl\ntLq0aOpcRkHdOqUUkydPJiMjw1zWuVEgXbsep2/vb/D29s5R96233qJSJdN3kMqVYds2+PVXGDny\nluZvUEqRnDyUKQ/X4u9dn7dap0+jPgxtNhTnoZVo1SpZehuEKEBhxzSsA7YBlYHhWusRWutVWutn\nAfu5D0yI8iwyEpo1y1H049povL0u4WCno4leffVV86JQqamp/Prrr3ywsA3/2+hJaq5JIsePH4+n\np+fNgnr14I8/jHU4OnaE8PAitT1v3tt8vCSBykE/WO1lyPbmgDfRDTVVqh+SpEGIAhT2regTrXUr\nrfV/tNbnAJRSLgBa6w4lFp0QdxIrPQ07EpKp5HO8jAK6fYGBgeZxDU8++SSff/45zZo4kV53Gx9/\nfjFH3a1btzJw4MCcB3B2hvfeg1degT59jJ+jokAXvET41q2ZZFW5iL9//vVquNVg98TdTBrfkl27\ny//S40KUpcImDa9ZKZOxxkIUF62tjmlISmhAy5bXyyio25c9GHLRokXGAlYff0zlSpXpNzqGBR9d\nyVE3MDCQ/fv357icYfbgg8alit27oWdPaNDAKFu8GH7/3eiFiI/PMb9DyOEmOAZ+y5BmQwqMs1mT\nZmy+9iZ79l3nxo3bPm0hKiyn/DYqpbwAH8BNKdUOyO7jq4ZxqUIIURzOnQN3d6hWLUexTg7gvuH2\nNwgym6+vLyNHjuTbb79l7dq1VDbNUDX3qS50fM+DyKgsmjYxvrtUr14dHx8fjhw5QmBgYN6DBQXB\nV1/dTLC2bIGtW+Hrr42EIT7eGPvg50fWsOG0v9SXxmMVTg75vs0BoLVmxcyFZHlMYt1mZ/42oEmB\n+whxJyror2kQxuBHX+Adi/JkYGYJxSTEncfKeIa0G+lkxQUwsJuLjZ3KP6UUixcvzlPevn4Ajz50\njRWfO/Dvf98sf/zxx633NOQ8qPFaNWsGjz2Wc1tGBhw+TPS761nk8C9azoyFXVHGXRi+vjYP6eTk\nRMcWHblAIjOX7+FvA6wPnBTiTpfv5Qmt9XKtdR9gkta6j8VjhNZ6bSnFKETFZ2U8w6kTkJmeSK1a\ndjoKsgDjJlzj/cVXctxR+cILL9C+fftbP6iTE7Rty7jYEQztMhn27AEvL+jaFQ4cyHfXLl260MTj\nAnUSR9x6+0JUcPm+GymlHjT96KeU+nvuRynEJ8SdISIiT9Iw75uNOHkexcFeb50oQNcOblxxiObL\n727O/HjixAlGjLi9D+0bN2D/zob4tNhh3Hkxdy689RYMGAC//GJzvwceeIB7R/tw/nhj0jPSbysG\nISqqgt6NsuezdQeqWnkIIYqDlcsTO0Kv4OYZWUYBlTy3Sm70GBHJGwvPm8t8fHz4/fffuXr16i0f\n99v/JZFV4y/+1q7TzcL77oNvv4WHHoKlS63uFxgYyOjR/sScS+XL3baTCyHuZPmOadBaf2z699/5\n1RNC3CYrlyfiYuowtH/1MgqodLz+XGt6tvciMVFTo4bCxcWF1q1b8+eff9KjR49bOuayL1LxbPw7\nHQP75dzQs6cxeHLoUGPQ5P/9X559g4ICqdv0BzZtv8Yjt9a8EBVaQXdPvJffdq311OINR4g7kJXb\nLbXWpMY25umHapdhYCWvW8vmjByayerVismTjbKBAwdy/vz5/He0IT0d9v7hzaFD/8THx0qFFi1g\n+3Zo2xaGDIFcd2kEBwcTkRzFgRDXW2pfiIquoMsToQU8hBC36/x5cHWF6jd7FdLTFVkJDfnh23ll\nGFjpGDUuiTnzz5ifv9s9WBIAACAASURBVPrqq9x77723dKwFKyKo5HWcZcvm2q5Ur56xiuaUKXkm\nierSpQvVnA9zLbrtLbUvREVXmLsnbD5KK0ghKjQr4xm+2RKOa/UzeHvXKqOgSs/ou92JO+vE8l/3\nAXDlyhWmTJlyS8d6b2EmLXpsYvPmzflXfPxxo1vi889zFPfv358hXT05/1dDy3mihBAmBd09Md/0\n7w9Kqe9zP0onRCEqOCvjGdZtjsShxmHq1q1bRkGVniquLoz82xWef+MQ6RnpuLu78/XXXxMfH1+k\n44QeuMbZE9Xp1SSeVq1a5V/Z0RE++ABmzMixGFZgYCAzZjxOZpXTbA9JvJXTEaJCK+jyxArTv28B\nb1t5CCFul5XbLcPDHWjQ8AotW7Yso6BK1zv/bE7qvr8RGnUSBwcHOnbsyL59+4p0jHnzU2k3bB/n\nI0/jX9CCE2AsgjVyJMyalaN41KhRODcIZcOmS0VqX4g7QUF3T4Sa/t2ilHIGWgIaOK61tt8J8YUo\nTyIjjQ8vC7GRnrz5z0DatfMrm5hKmZ8fPPg3d/63ojktZibQqVMnwsLCGDZsWKH2j45L5JfvahIe\nPhwPj77oQixoBcDrr4O/PzzyCJgmlXJzc6OG71/s3BVwi2cjRMVV2KWxhwFRwHvAQiBSKVXwKjBC\niIJZGdPgntiFb5a8fFvzFdibmTPhvYU3GLFkErNmzWLmzMLNVJ+ekU7vactp0fkU9eppNmzYYF7j\nokA1axqJw5QpZE9N2bZtWzyqRBF9zONWT0WICquwU829DfTRWvfWWt8F9AHeLbmwhLhDZN9uaXF5\nIvzkea6mZrFj20rc3NzKMLjS1bgxjB1diZM/j+SLI1+wYMGCQvUYTPvp71zc8jfmzWpAXFwcTz/9\ndNFm0Xz4YWN1zPXrAejUqROdK9ck6WydwqzALcQdpbB/Wclaa8up6U5gLFolhLgdFy4Y6yXUqGEu\nWvFrGC71IqhTp3aFnULallmzHLi2cxIzfvgvby18i6ioqHzrb4/Zzg8brtPEqy7duzlw5MiRggdB\n5ubgAFOnGstsA3369GHuOy+S6ZBKEcdiClHhFXT3xGil1GggRCm1QSk1SSk1EfgBKNooJSFEXlYu\nTezdn4aPXwJ+fn5lE1MZatwYRt3jxJgr2+nSrgt79+61WTcjK4Pu9bvjf+IDpk11RCluLWkAGDMG\n9u2D6GgA5rwyhzSPQxw7LvddCmGpoK8xw00PV+A8cBfQG7gA3Dn9pkKUFCu3W0YcdaFnNw927NhR\nRkGVrX/+E9Ysrwv+1Vmzf43VOhdTL9L2o7ZsDzvPgT8rMW6cUT5w4ECeeuqpojfq5gbjx8OSJQAc\nP3Qc5/9v777Do6rSB45/3/QeCITeO6FjCL2IChZEf4gCuigW1F37ru6Cu+6qu6uu6+raK2t3FQvI\nIopIFVB6DR0CIZQQIKSXycz5/XEvGEIgA8nkpryf55kn955b5r0HMnnn3HPPqbeXFRv1CQqliivr\n6YlbKysQpWqlUh63DE8fQKfGO5g3bx6XXXaZQ4E5p21buPpqyDx8P2s7jybPlUdo4C/fUdweNxO+\nnMBV7a/ii/cacfvt1t98gKioqAsf22LyZGto6T//mR49erBy5UHWJmYBNXsob6XOh7dPT4SIyD0i\n8pqI/Ofky9fBKVXjlWhpyC0oIGV3JEcPLGb+/PkOBuasP/4RFn/VnSa5fXli0enz5T2z9Bk8xkOT\nrU/z5Zdw772/bOvRo8cFz1tBt27QvDl8+y09e/akrcuDK63VhV+EUjWQt72sPgQaASOBxUAzvOgI\nKSKXi8h2EdklIlNK2R4sIp/Z21eISCu7vJ6ILBSRbBF5pcQxF4nIJvuYl0REvLwGpaqeEn0aZizf\niDvsECdOJNeK0SDPpl07a8yllY+/yrwZEac9RXFrz9vovmkWr7/qz9KlnJqYKi0tDZfLRaNGjS78\njSdPhrffZuzYsfzlrzexaVteOa9EqZrF26ShnTHmMSDHnnPiKqDvuQ4QEX/gVeAKIA6YICIleyjd\nDqQbY9phPcL5D7s8H3gMeLiUU78OTAba26/LvbwGpaoWY864PbFkVToNWh8hNTW1VicNAA8+CFde\n8Rb7pt/PpDvyWLNvK9d/NoE/PdiI5UvCWbrUGhTqpK1btxIXF0e5vkeMGwdLlxKYmsqcNS+yZ5fo\nY5dKFeNt0uCyf54Qka5ANNCgjGMSgF3GmD326JGfAteU2Oca4OTEV18Al4iIGGNyjDFLsZKHU0Sk\nMRBljPnZWF89PgCu9fIalKpajh0DEWuAIdv6DR46xOXx5JNPMnLkSAeDqxpGjarPyJFTmLdtBQkJ\nwtYXn+XQIWH+fIgt0dUgOjqayZMnl+8Nw8OtxOHdd1n6v2/wBORy+HD5TqlUTeJt0vCWiNTF+vY/\nC9jCL60CZ9MU2F9sPcUuK3UfY0wRkAHUK+OcKcXWSzsnACJyp4isFpHVaWlpZYSqlANO9mco9s3Y\nfTiOS/o2pLCwkKioKAeDqxquuOIKbr11DAu/bsINd+9mRL/mzJoFERGn75eenk6dOnWYNGlS+d90\n8mSYNo2EdhdB3Z1s3lpQ/nMqVUN4lTQYY94xxqQbYxYbY9oYYxoYY970dXDlYYx5yxgTb4yJjy35\nlUSpqqCUMRpO7GvBtcPaMHToUDIyMhwKrOpo3rw5CQkJtI5qzX+fuIrnn4fAwNP3ycrK4sorr+SD\nEtNcX7DevaF+fa4JCaNRRDa7d2u3KaVO8vbpiXoi8rKIrBWRNSLybxE5V4sAwAGgebH1ZnZZqfuI\nSADWbY9jZZyzWRnnVKp6KPHkxKFjWexJzqNFiwKysrKIKXbboja76qqrWLp0aanb8vLyGD16NN27\nd+dPJWarLJfJk7ksOZmxI3uwc4d2alDqJG9vT3wKHAGuA8YCR4HPyjhmFdBeRFrbM2SOx7q1Udws\n4BZ7eSywwJxjsHljzCEgU0T62U9N3Ax87eU1KFW1lOgE+e3yZEIa7SU9PY369evXuiGkzyYhIeGs\nI0Nu3LiRdu3a8dprr5WvA2RJY8cSsmQJW/I+4buVeyruvEpVc95+KjU2xvzVGJNkv/4GnLNrt91H\n4V5gLrAVmG6MSRSRJ0VktL3bNKCeiOwCfguceixTRPYCzwOTRCSl2JMXvwHeAXZhzbz5rZfXoFTV\nUqKlYemqDBq1TSM4ONjrGR5rg9KShqKiIqZPn05CQgJvv/02/v7+Ffum9epB9+7UXfweKUkhFXtu\npaqxc44IWcz3IjIemG6vj8VKBs7JGDMHmFOi7M/FlvOB689ybKuzlK8GunoVtVJVWYmkIWVPFN27\nZBEbG8u9xUcsquUGDhxIcnLyqXWPx8OkSZM4duwYY8aMISDA24+x83T11Ux461W+TLVmu9QRYZQC\nOdfUsyKSBRhAgHDAY2/yA7KNMdWie3d8fLxZvXq102Eo9YujR62EIT391F+jq66CO++ErKyPWLNm\nDS+8oLPPl2SM4e6772b79u3MmTOHsLAw373Zli2cGNCfBq497N1ZjyZNfPdWSlU0EVljjImv6POe\n8/aEMSbSGBNl//QzxgTYL7/qkjAoVSVt3w4dO5729XXZujQatkgnJSWFwJKPCNRyd999NzNnzsTl\nchETE8P//vc/3yYMAJ07ExYZxajGW9m507dvpVR14XVPKxEZLSLP2a9RvgxKqRpvxw4rabBl5OST\nkRZJt87hHD58uHxDIddATZo04cknnyQlJYWnn36ayMhI37+pCEFjxjDQ8z5zV+72/fspVQ14+8jl\nM8ADWIM6bQEeEJGnfRmYUjXayZYG24LVyQTFHCI8JIh69erRoUMHB4OreoYPHw5ARMlRnXzMjBrF\nwNRvWbFOp8hWCrzvCHkl0NMY4wEQkfeBdcBUXwWmVI22fTvcdNOp1WXrjhHT3B9ozWOPPeZcXFXU\noEGDWLt2baW/rwwdSueCNI5uOlrp761UVXQ+D4LXKbYcXdGBKFWrlGhpiMntz4RhvQF45JFHOKwT\nHlQNQUGsa9qCfsmbnI5EqSrB26ThaWCdiLxntzKsAf7uu7CUqsGKimDPntMet5y3cj9NWmUC8O67\n7+rATlVIxOhruTzrJzyesvdVqqYr85PJHnlxKdAP+Ar4EuhvjClrREilVGn27oVGjSA09FTRig0n\niGmehsvlIiMjg3r1yhqlXVWWix57hOFmAft35zodilKOKzNpsId1nmOMOWSMmWW/tO1UqQtV4skJ\nl7uIvMPNuTShOWlp1hDSFT7CobpwsbEkBrVgx4dfOh2JUo7ztg10rYj08WkkStUWJfozrNqejJ+/\nhxaNw2jSpAlbt251MDhVkojwTXRn3LNmOB2KUo7zNmnoC/wsIrtFZKOIbBKRjb4MTKkaq0TSkHmw\nEV07W4M5zZkzh/T0dKciU2fxY9OWdN2+DM4xgq5StYG3ScNIoA0wHLgaGGX/VEqdrxJJw7rN+XTv\nEgTA1KlTOXLkiFORqbNo3Wsw4g6ELVucDkUpR50zaRCREBF5EHgEuBw4YIzZd/JVKREqVdOUSBo+\nXLCSvOgNHD9+nKSkJHr37u1gcKo0t905lMVhl8L8+U6HopSjymppeB+IBzYBVwD/8nlEStVkmZmQ\nkQFNm54qOpgUQZ/ukSxZsoQBAwbovBNVUHSjNGZnDcUsXOR0KEo5qqwRIeOMMd0ARGQasLKM/ZVS\n57JjB7RvD/Y4DMYYMg824eL4enRs1YSuXXXW96qoW4vWLA7JwLXgIYI8nlP/fkrVNmX9z3edXDDG\nFPk4FqVqvhKPW2bmFOKf3YJecdGsX7+eli1bOhicOht/P38Ox+SRHhAGmzc7HY5SjikraeghIpn2\nKwvofnJZRDIrI0ClapQS/RmSk4Jo2zqA7Ox0rr5a+xZXZW3qu1gd3gUWLXI6FKUcc86kwRjjb4yJ\nsl+RxpiAYstRlRWkUjVGiaThhdlz8MRs5ccff6Rfv37an6EKm3hdPAfaT9CkQdVqemNOqcpUImnY\nvKWIlm3zWLRoEUOHDnUwMFWWo5HL+HdSA1i8GJ2IQtVW3k6NrZQqL4/H6tPQocOpon27g7nlmlDG\nDL2BBg0aOBicKsvA3vV4Oa0B7oZ18d+8Gbp3dzokpSqdtjQoVVkOHICoKOtlcx9tT0LXOrRp04Y2\nbdo4GJwqy7CerSG/AQfad9ZbFKrW0qRBqcpS4skJY8CV2pbCjI3ceOONDgamvNEwsj4hdfazxL+Z\nJg2q1tKkQanKUqI/w9wN63GRw9q18xg2bJhzcSmvDb2oMQUJd2u/BlVradKgVGUpkTR8vyKZyCaH\nWLx4sXaCrCay6q/i0x3ZUK+ejtegaiVNGpSqLCWShvWb82jZLo/rrruOhIQEBwNT3mrYIp3581Pw\nDBlitTYoVcto0qBUZSmRNKQkhRPX0Z8pU6YQHBzsYGDKW/161UEKO5PSrp32a1C1kiYNSlWGvDw4\ndAhatTpV1M4ziow9K3j++eedi0udl+HxTTGZ7VkREqb9GlStpEmDUpVh925o3RoCrKFRsguzWbnx\nBLt3zSE+Pt7h4JS34lt3ol4dCGg5GGJiIDHR6ZCUqlSaNChVGUrcmlizbxvHj4Swe/c87c9QzUS0\nSCHb0xSGDdNbFKrW0aRBqcqwbdtpScMPPx8mqskBHnjgN4SEhDgYmDpfhdGbuOf3L1tJw8KFToej\nVKXSpEGpypCYCF26nFpdubqQtnHZPPXUUw4GpS5E245F5OQ1J6N7d1i2zBqlS6laQpMGpSpDYiJ0\n7XpqtVHOSHIPLmfLli0OBqUuRPe4IPxNFzZnZEBQEOzZ43RISlUaTRqU8jWXC3buhM6dTxWtWu0i\nacdMnW+iGnpg1EiCs7vjdrthwABYvtzpkJSqNJo0KOVru3ZB06YQGgpATkE+W7cG0Ku3n/ZnqIba\ntQrF5QmmU5d+mjSoWkeTBqV8bfPm025NzF+zF//w49xw3QgHg1IXSgSI2c5N9z2pSYOqdTRpUMrX\nSvRnWLD8OA3aHeKhhx5yMChVHo1aZrB0Qxr06GGNwZGZ6XRISlUKTRqU8rXNm097ciIjqRVBhVsx\n2uu+2urZLYQCT2vSc3Kgd29YscLpkJSqFJo0KOVrJW5PbF4VQFjhDkTEwaBUeVwzqCPR6X1JSkrS\nWxSqVtGkQSlfys+HffugQ4dTRWu3uelxibYyVGfx3SOpG9WPDl07aNKgahVNGpType3boU0b63l+\n4FBqEZ7CUG4aNcjhwFR5tG8Pe5P8eOrDf0L//vDzz+B2Ox2WUj6nSYNSvlTi1sTcZYcJabadq0Zc\n6WBQqrxCQiCsTjoffrMUYmOhYUPQgbpULaBJg1K+VCJpWDDvOE2bHtX+DDVA63aFHM6sY63oLQpV\nS2jSoJQvlXjcct1SQ6fIfAcDUhVlUJ/6sK0jx44d06RB1RqaNCjlSyUet9yWEkKrQRkOBqQqSu9u\nYVzd9xGCw4M1aVC1hiYNSvlKdjYcPgxt2wKwf38aRVktGH11O4cDUxWhc2dYuP4Iby55E+LiIC0N\njhxxOiylfEqTBqV8ZetW6NQJ/P0B2LM/BL/6uxnY/iKHA1MVoVcvyNrfknfnfgJ+ftCvH/z0k9Nh\nKeVTmjQo5SvFbk14PB7+9MyXNO94nPCgcIcDUxUhPBwaNs0k6VCUVaC3KFQtoEmDUr5S7MmJRYsW\nsXV5EPdePdjhoFRFGjIgGNfm3taKJg2qFtCkQSlfKZY0vDPtHQoiOxPXrdDhoFRFGnFpFL1Cf4PH\n44GEBFi7Fgr131jVXJo0KOUriYnQpQsFBQXM3TCP3MPtSLgo2OmoVAXq31/YuT+GV1a8AlFR1lCR\na9c6HZZSPqNJg1K+kJ4OGRnQogXBwcH8asqfCItwU7++04GpitShA2QdD2DaN/+zCk4OKa1UDRXg\ndABK1Uh2KwN+fjz66KMszQmjSzeX01GpCubnB81bHWLnzhiroF8/+PZbZ4NSyoe0pUEpX7CThg0b\nNvDRRx9xSfCjjBikzQw10YA+/niS+pBflK8tDarG06RBKV+wO0FOmzaNobcO5bOZWVx5pc43URNd\ndWV9GqZeQ0hAiNWnISsLDh1yOiylfEKTBqV8YfNmTJcuzJ8/n8NRIaQfDaJPH6eDUr4wYkQ0R4+3\n4o2Vb4MI9O0LK1Y4HZZSPqFJg1IVzRjYvBnp2pV169fx0491GXmF5+TAkKqGqVcPCEjllRnzrQId\nGVLVYJo0KFXRDhwAEaa+9BLzNs1Ddl7DuP/TUSBrsoYN9rFjSwwe47GSBu3XoGooTRqUqmhr1pAX\nF8dbb79NQvPhkDyAESOcDkr50kXdXUhyX1IyU6zbE2vWQFGR02EpVeE0aVCqoq1ZwypjGD9+PFPf\nnU98HzdRUU4HpXxpxIgowvZeQovoFhAdDS1bwqZNToelVIXTpEGpirZ6NQszMxl902g+/DydUVfr\nUxM13aRJvSkobMx/fv7CKtBbFKqG0qRBqYpkDKxZw5+//prkoBT8do3imqu1B2RNFxgIETG7+ft/\n51oF2hlS1VCaNChVkVJSyM7OZv3Ro3w6bwd16wrt2jkdlKoMgaxhX2Jj8lx52tKgaiyfJg0icrmI\nbBeRXSIypZTtwSLymb19hYi0KrZtql2+XURGFivfKyKbRGS9iKz2ZfxKna/sxYtZXlhIy1at6JPz\nBDdcG+Z0SKqSdI3LJjBlMOsOr4O4OEhNhWPHnA5LqQrls6RBRPyBV4ErgDhggojEldjtdiDdGNMO\neAH4h31sHDAe6AJcDrxmn++ki40xPY0x8b6KX6kLsfWjj8jq0IEjniPMnFXE/10T5HRIqpIMHhyE\n2ZdAfOM+4O8PffroIE+qxvFlS0MCsMsYs8cYUwh8ClxTYp9rgPft5S+AS0RE7PJPjTEFxpgkYJd9\nPqWqtLAtW2g3bhwvzvucfXv9GTDA6YhUZXnwwbHUqRvBF8vtBlDt16BqIF8mDU2B/cXWU+yyUvcx\nxhQBGUC9Mo41wPciskZE7vRB3EpdGGPokpdHj9tv5+vZLgYPzyUw0OmgVGUJCwulYfMd3P/a11aB\n9mtQNVB17Ag5yBjTG+u2xz0iMqS0nUTkThFZLSKr09LSKjdCVSu9NnUqBW43e8MKObahPxPH1nU6\nJFWJ/Pz82LP1BTI2DOVIzhFrkKeVK8Htdjo0pSqML5OGA0DzYuvN7LJS9xGRACAaOHauY40xJ38e\nAWZwltsWxpi3jDHxxpj42NjYcl+MUmU58PXXZHXoQJ2AJgQlj+DKK6pjTq7Ko0f3A3iSBrNo+2qI\njYUGDWDbNqfDUqrC+PJTbRXQXkRai0gQVsfGWSX2mQXcYi+PBRYYY4xdPt5+uqI10B5YKSLhIhIJ\nICLhwAhgsw+vQSmvGGOou2cPYYMH89LHO4nvY09kpGqVHj1a0bxlCumb+1oFeotC1TA+SxrsPgr3\nAnOBrcB0Y0yiiDwpIqPt3aYB9URkF/BbYIp9bCIwHdgCfAfcY4xxAw2BpSKyAVgJfGOM+c5X16CU\nt1JTU+kXGIj/gL789fVtjL423+mQlAPuvfdeJk2oy7ezg60C7QypahixvtjXbPHx8Wb1ah3SQfmQ\nMZjYWL6f/jJXjRrFwb2RNGjgdFCqsrndbuYtS+TKy5uTdyKa4E3r4OabITHR6dBULSMia3wxLIHe\ndFWqAvwwbRou4KWF2bTsdEwThloqPT2dcVcPJqjBXj7+Xwp07w7JyXDihNOhKVUhNGlQqgKsfftt\n0lq2xCSO5Y5f1XE6HOWQ+vXrExISQtu+m/ngs0xrUor4eO3XoGoMTRqUqgARO3ZQeFFvls6P5rab\nNGmozbp06cI1AwyJP7bDGGDAAFi+3OmwlKoQmjQoVU6ZmZl0zMzk68IGRLTYScOGTkeknHTXXXdx\n/ZBuxEQH8e3iNE0aVI0S4HQASlV3EeHhDIuK4reJ3Rl1bZ7T4SiHjRs3DoC2/TfywL+3ceW0S34Z\n5Mlfp0lX1Zu2NChVTjvnzcMdGMjGzSN45HadB7u2W79+PZdddhl/uKMDST93Z7s5Ck2awGYdUkZV\nf5o0KFVOC597jsSwVnTuUkT7VhFOh6Mc1qJFC1asWMGgfsGEFjXhia/+q7coVI2hSYNS5RSRmMi6\ngMHcfXN9p0NRVUBMTAzh4eEcOLCfMdcGEJN8qyYNqsbQpEGpcnC73XRKTePD/cPpcfEup8NRVcSY\nMWM4ceIEN90QxrI5TVnfOlyTBlUjaEdIpcrBfeIEXQMCWds4iiFdtT+Dsrz66qvk5eXRpk0exzOE\nkV99weHjx5HUVPTxGlWdaUuDUuVQuHAhWyLj6HppKiLidDiqCnnuuee49dabmfJwEO5lv+NQ15Y6\nD4Wq9jRpUKocVj3/PHOzL+bBiR2dDkVVMb///e85dOgQSUlP4D7Qmy+D3HqLQlV7mjQoVQ71E/ew\nOnQYY4d0czoUVcUEBwczY8YMvvrqY24cd5zj/F2TBlXtaZ8GpS5Ubi6ts46zYWA+emdClSY2Npb1\n69dTWBhB9zZDeDT/BgILCiA42OnQlLog2tKg1AVyL13K5qBODB2lfwDU2UVERFBQcIh0zxckBtTn\n4OJvnA5JqQumSYNSF8i94EcWFo3gnnGdnQ5FVXGNGzfmT1PDWZ43kh8/eNHpcJS6YJo0KHWBkj74\nilX1W9OrZVunQ1HVwNSpE9jVqCUB847gcrucDkepC6JJg1IXIj+fZof3EJrQRR+1VF6b9NqNDDia\nSW6WC2OM0+Eodd40aVDqQqxYwWa/DnS8MtPpSFQ10n10W4ICPAwf+QRPP/O00+Eodd40aVDqAhyc\nPpfFfgO5Z8Igp0NR1YkIwRcPIG5DW/75xSw+/fRTpyNS6rxo0qDUBciY8wOJHZpSLzrG6VBUNRNx\nxRDu6Pwdhcff5sEHH+bgwYNOh6SU1zRpUOp8FRbSPDmRE911Gmx1AYYOZUjeFvyD87jp1rU0adKE\nrKwsp6NSyiuaNCh1ngqXrWKH6UAPnZ9KXYhu3ZDUVDZ/2IwP3oll5uxdxMXFkZSU5HRkSpVJkwal\nztO6t75kSWgcAwbofBPqAvj7w6BBtEhayqhfL+eW++CRRx5l5MiRpKWlOR2dUuekSYNS52vRMpbW\nE3r06OF0JKq6GjoUFi/mjT/3gYhUvt8czw033MCUKVOcjkypc9K5J5Q6H4WFdErdwqXTnqRRo0ZO\nR6Oqq6FD4f33CQ4IYtYnDbl4QCS3TP8Njw6tw4kTJwgPDycwMNDpKJU6g7Y0KHUeDn82ny3Smdi6\neTqok7pwvXpBcjIcPcrQbu14+fV8Hr67Mfn5YTz++OPccccdOviTqpI0aVDqPBx9ZzYrGg7k52XL\nnA5FVWcBAdC/P/z4IwD3/KolfS87wMDR2/n7359ix44dTJ061eEglTqTJg1KecsY6v/8JfOaeLQ/\ngyo/u1/DSS/8M5jd+/L4w7MHmD17NrNnzyYxMdHBAJU6kyYNSnkpd+lKTriiSCz8kZ49ezodjqru\nhg6FJUtOrTatG8sb72Xw+r9i2LgtkLVr19KlSxcHA1TqTJo0KOWlTc+9yzfRA5j9yQd06tTJ6XBU\ndRcfDzt3wokTp4puu2QoN09dxa0Tw8jPD+LRRx9lzpw5Dgap1Ok0aVDKSw0WL2Bn/674+fkREKAP\nHqlyCgqChARYuvS04nf/eDn9Bri5+w/JNG7cmOnTpzsUoFJn0qRBKS+YnbsIz86iUXxz/vnPfzod\njqopSvRrOOm23+7m0/cjadGtH7Nnz8blcjkQnFJn0qRBKS8kvfoJswNHcuToEu0EqSpOiX4NJ43o\nHceQa3fz6ycPcvHwi0lOTnYgOKXOpEmDUl7I/3wGSzu1ZePGDZo0qIrTty8kJkIpE1Z99u9eHFk5\nhF//4Tnatm3rQHBKnUmTBqXKkpZG08O7aH7rYO655x569+7tdESqpggJgd69YfnyMzY1bODPY7+P\n5o1/NGHUqFF45idvvQAAGBVJREFUPB4HAlTqdNqbS6kyHP14Oou4lHtuiqdOZBBBQUFOh6RqkpP9\nGkaOPGPTbx/yo2GLbOq1gBUrVtC/f38HAlTqF9rSoFQZCj7+nj1dr2Pp4u+5/vrrnQ5H1TRDh8Ki\nRaVuioyE4RN/IiPv98yYMaNy41KqFJo0KHUOJieH6HU/EDpuOBs2bKBbt25Oh6RqmoEDYdOm08Zr\nKO7tJ/uQndaSZet0rhPlPE0alDqHrR+/zAriGTWhMRs2aCdI5QOhoVbiMH9+qZsb14nhmrvWk5Wh\n02Yr52nSoNQ5pL/6MXOjr6J1a6Fnz54kJCQ4HZKqiS6/HObOPevmz/92DYf3BvPI73WgJ+UsTRqU\nOgtz+DBdtuzBdcMEAB5//HFatmzpcFSqRho5Er77Ds4yHXZAALS5ZA6vfKp915WzNGlQ6izMe+8z\nN2Qct9zVnCVLlnD77bc7HZKqqU7OZbJt21l3+edfOpKfNowFS7ZXUlBKnUmTBqVK4/Fw5Lnn+KL+\nJFq1yuDuu+/Wx92U74hYtyi+++6suwzu1I2Irl/z8NNJlRiYUqfTpEGpUqTP+YrU3DB6TO7DxIm/\nYtiwYdxxxx1Oh6VqspEjz9mvAWDav3qwa8XF5OZWUkxKlaBJg1KlSH3u70zzPMhtk0K5//77efHF\nF50OSdV0l1wCy5ZBXt5Zd7lhSG9iY3by1HMplRiYUr/QpEGpklJTafrzDha3GsKCBR9x2WWXERgY\n6HRUqqarUwd69Ch1AqviIuPe4dmXC9BRpZUTNGlQqqT33mNR1P+RdPAdevXq5XQ0qjYpo18DwB9v\nGUSRXzbPf7ilkoJS6heaNChVnMdD2vPP8rdjt/Kf/4ymS5cuTkekahMv+jVcdcWVhDV4k388V1BJ\nQSn1C00alCrG/cM8DuUHwoCGjB17hdPhqNrmoosgLQ2Sk8+6S1hYGMnLn8Wd2olNmyoxNqXQpEGp\nU4wxrHpwMtP87uLpJ7o6HY6qjfz84LLLymxtyDiaxkU9l/O7x9IqKTClLJo0KGV7+ZFH6LjzEDMD\nJzNsmNPRqFqrjCGlAerWrcvydTfxww/w49ojlRSYUpo0KAXAjBkziH39dX7u9iA33dEMP/3NUE4Z\nMcKavKqo6Ky71KlTh8EX9aTd0Dnc9Yd9lRicqu30o1HVSsYYNm/ezMsvv0xmZiZRqamM9oe79z3A\nxIlOR6dqtUaNoFUr+Omnc+42ZswY4pv8zLblbZi/WhMHVTk0aVC1gjGGffusD9ZPPvmERo0ace21\n17Jp0yZycnK4ZOlS3mw1jPpdAunc2eFglbruOvjvf8+5y6233srHb73GQ/cH88nrOpGaqhxizjKr\nWk0SHx9vVq9e7XQYygHz5s3j448/ZsGCBXg8Hnbs2EF6ejpFRUW/zFi5eTOuYcOol7eKJT81o2d3\nHchJOWzfPutJigMHIDj4rLt98cUXREa25PrxPbj99Td4Yfz9lRikqspEZI0xJr6iz6stDarGSEtL\nY/r06dx9992MGDECgMzMTPr27cu8efPYv38/YWFhNG3a9PQprv/yFz5qM5l2Fx/VhEFVDS1bQvfu\n8L//nXO31NRU/v733zFxUi5v/LsOqw6sqqQAVW2lLQ2q2srIyGDJkiWcOHGCiRMncuONN5KVlcXw\n4cMZPnw43bt3R0TOenxmQSZHlnxL4wn30tGTxJqtETRsWIkXoNS5vP8+fP45zJ591l3cbjcTJkwg\nJyeUxUvfoskjV7FpyjcEB5y9dULVDr5qaQio6BMq5Su5ubkcP36cZs2aMWrUKBYvXky/fv0YM2YM\nYPVVOMnldnEs7xj1w+ozf898VhxYwf6M/aRkpTBz3EzeW/8eD3z3AHM+hmkRk7lmfCYNG0Y4dWlK\nnem66+CBByA1lbNls/7+/nz44Yc8+eSTdOggrFj7HHlFeZo0KJ/RlgZVpblcLp566ikWLFjAmjVr\nuO+++3j66adZt2kdBVEFpOalkpyRTM9GPRnccjCXfnApW49uJS0njSvbX8nM8TN5c/Wb7EnfQ4vo\nFrSIbsEV7a9AEPyW/0TB9b+ii/92Nu0IJizM6atVqoRJk6zbFL/9bZm7btx4iEGDonjrkyy6JRyj\nSwMdAr0281VLgyYNqspwu92sXbuWufPn8t1P39FrcC9e+t1L3PbX2zhY/yBFYUUcyD7AR2M+Ijww\nnPFfjrcSgagWXBd3HcNbD2f1wdU0CG9Ak8gmBPidoyEtMxOTkMBf3H+h3WMTuPnmyrtOpby2cCE8\n+CBs2FDmrseOHaNXrz9wNOMftHz0OjY8/D1B/kGVEKSqijRpKAdNGqoOj/FQ5CkiwC+AzxM/Z/WO\n1azcvpL49vE8MugROj7WkZymOdQPrk+nhp1YeOtC1hxaw7pD62ge3ZwW0S1oW7dt+ZpfjYGxY9l+\nPJYJGW+wejU6mJOqmjweaNMGZs6Enj3L3D0lJYUuXWZgGsbzwOvf8ddLnqiEIFVVpH0aVLWQU5jD\nvox9JGckk5yRzPVx17M/cz/3f3s/+zP3sz9jP88Of5aBQQO55d+3EOIOoVOTTnTu05lGjRqR8koK\n4UHh+Mkvf8Xjm8QT36QC/+8/9xypa/YzIv8TZn6rCYOqwvz8YOJEq1OkF0lDs2bN+Omnkfzf9dG8\n/kI0jwzKJCo4qhICVbWFT5MGEbkceBHwB94xxjxTYnsw8AFwEXAMGGeM2WtvmwrcDriB+40xc705\npyofj/GQVZBFRkEGmQWZNItqRrB/MDO3zSSjIIOM/Aw61e/ENZ2u4U8L/sTG1I0c2FWP1IXXMXno\nKNx93uLzpLdO3Ta4qv1VHEs6RtBPQeQszSE2O5ZhVw+jQ4cObH9q++mPPgKRwZG+vb4fFpD9+L8Y\n32glC5cH06aNT99OqfK7+WYYNAiefRYCy34kOC6uAwu+h85xdzHtte3c/0AP/P38KyFQVRv4LGkQ\nEX/gVeAyIAVYJSKzjDFbiu12O5BujGknIuOBfwDjRCQOGA90AZoAP4hIB/uYss5ZqxUUFXAw6+Cp\nP/At67SkVZ1WvL7qddLz08nIz6BZVDPu63sff1vyN77d9S0Z+VaCsPO+nXyW+Bn3zrmXqOAookOi\neenyl0homsDX278mOjiaqOAoDAZjIHTftSS/cz8pu6IZf2s6+/bBzBcfYNiwEURGTmPxT7MJ+DGA\nmNAYxvQaw6sPv0q7du1OPQZZMmHwtbwd+8kfdRN/7fgxXy5sQUxMpb69UhemfXto1w6++w6uvtqr\nQ5o2hT/9cRe/m9qQBekv8NHvHiY62sdxqlrBZ30aRKQ/8LgxZqS9PhXAGPN0sX3m2vv8JCIBwGEg\nFphSfN+T+9mHnfOcpekY0di82W1ShV2bE45lHGdHxi6C3eG4PRBECLnkgp8bxIOIh0ATgMGNy98F\nQBCB4IEgvyCyJRuASE80rkJBTAj5hQbjDiSIQIICDe7AHDzkU1CYTRCBxEbEkuE+Af5CdlYeuIOo\nH9qY3CIXhQWRuD2FmMgVdGzsxoibnMhsDibnYk70xS83jg7tPRzK2YPbeAAI9g+hXeP27EtNJis/\nF4wfGKFVbCtyC3I5kmnP1ieG+pH1qBdZlx2HtoMYjPEnxC+cRnWakXL0EIVFhYhfEeLvoXOz9gQE\nQPEhGQxgPNYtYbcb3B5ou/1b1ncaz7U/TznXIHtKVT1vvQVvvmlNZnUeZs1JIXG34JffkOAQDyGB\nmbjCDmPEQ0hwCJFhkRSlF5HjzqfQA0IwgQFhBBSGUFCUg8s/Fz//IiKjQ4gICCXnRC5ZkglAaGgo\n0WFR5B3LI0dyKKKIwIBAwsLCCcoPJis/k3zJB4SoqEjCCSM7M5ssyQIgPCycyOBI8o7nkS3ZuHET\nHBRMeGg4kiNku7IpkAL8/PyIjIgk1BNKVlYWOZIDQEREBJEBkeSm55IpmRjMqWtypbvINbkUSiEB\n/gGEh4cT6golMzeDXMkDICoyinC/cHJO5JBZ/JpCo09dU73IejSo06CC/hEr18U/P1Pt+jQ0BfYX\nW08B+p5tH2NMkYhkAPXs8p9LHNvUXi7rnACIyJ3AnQCtQmIhqprf1/MUkpVXQHBgOEIhJshFUW4W\neQUuYvzrExMay9Gi4xhPINmZhYT4h9IwuhnpRekU+BtyTuRhjKFRvVhyQ9IpCjtBUU4aeQUnaBnV\nmmC/aI6bbArzhewMCAsIoigsjIKifPCH7IJM/PzyCW8YS5H7KIERe0jP3Uhefh5E9cLf3w9XkJsG\nncKA3bSOjsI/txd7dx3E7XED4BcYjH/dKEx+EEXBWYgUgRhiWkcg2S7cqfnWtRohOCaIiLpRuHLA\nGD/E30VgWBEt2kVxfO8OXHmZGE8AHk8AYY2icLlOry7Buh0c5Af+/tYrt/9vuOHVyYj2YVDVzcSJ\nkJsLeXnnddjo8XHEJv5EUehxQvKbsGdTHodyQvEYgzssFCKicBcWUIQLt38OwaH5xMQa6riEw8cy\nSHfn4HYH2J+f4XiKPBQa6/c0MDwUd1g4RXlCoXHjwgXBQbgjwiAwmKKAAgqNG0TwRIXhMeG4itwU\nmEIAgsJD8YREUJQvFBgXbtxISAghEeEIgqvQTYGxxqIoigjD4w6nyO2mwFizf4aEh+EODKeoAApM\nAQaDf1go7ohw3IUuCj0eCozgDgwgOCIMtysMFy4K7C8xRRFhuP3CKSo0FJgC+5rCTrsmd0RY9f/b\nUcFqbEdIY8xbwFtgPT0xbO5UhyMqv+ucDuACDCmlbOh5HD+wlLKyu4MpVcOEhlqPXl6A/sWW+1RM\nNKo6kEd9clpffuc6ADQvtt7MLit1H/v2RDRWh8izHevNOZVSSinlA75MGlYB7UWktYgEYXVsnFVi\nn1nALfbyWGCBsTpZzALGi0iwiLQG2gMrvTynUkoppXzAZ7cn7D4K9wJzsR6P/I8xJlFEngRWG2Nm\nAdOAD0VkF3AcKwnA3m86sAUoAu4xxrgBSjunr65BKaWUUr/QESGVUkqpGsZXI0JqP3KllFJKeUWT\nBqWUUkp5RZMGpZRSSnlFkwallFJKeUWTBqWUUkp5RZMGpZRSSnlFkwallFJKeUWTBqWUUkp5RZMG\npZRSSnmlVowIKSJZwHan46gG6gNHnQ6iGtB68p7WlXe0nryndeWdjsaYyIo+aY2dGruE7b4YTrOm\nEZHVWk9l03ryntaVd7SevKd15R0R8cncCXp7QimllFJe0aRBKaWUUl6pLUnDW04HUE1oPXlH68l7\nWlfe0XryntaVd3xST7WiI6RSSimlyq+2tDQopZRSqpyqTdIgIs1FZKGIbBGRRBF5wC6PEZF5IrLT\n/lnXLhcReUlEdonIRhHpXexct9j77xSRW4qVXyQim+xjXhIRqfwrLR8RCRGRlSKywa6nJ+zy1iKy\nwr62z0QkyC4Pttd32dtbFTvXVLt8u4iMLFZ+uV22S0SmVPY1ViQR8ReRdSIy217XeiqFiOy1fzfW\nn+yVrb97ZxKROiLyhYhsE5GtItJf6+lMItLR/r908pUpIg9qXZ1JRB6yP8s3i8h/xfqMd+5zyhhT\nLV5AY6C3vRwJ7ADigGeBKXb5FOAf9vKVwLeAAP2AFXZ5DLDH/lnXXq5rb1tp7yv2sVc4fd0XUE8C\nRNjLgcAK+5qmA+Pt8jeAX9vLvwHesJfHA5/Zy3HABiAYaA3sBvzt126gDRBk7xPn9HWXo75+C3wC\nzLbXtZ5Kr6e9QP0SZfq7d2Y9vQ/cYS8HAXW0nsqsM3/gMNBS6+qMumkKJAGh9vp0YJKTn1OOV0o5\nKvNr4DKsQZsa22WNscZkAHgTmFBs/+329gnAm8XK37TLGgPbipWftl91fAFhwFqgL9ZgKAF2eX9g\nrr08F+hvLwfY+wkwFZha7Fxz7eNOHWuXn7ZfdXoBzYD5wHBgtn3dWk+l19Vezkwa9Hfv9PqIxvqA\nF62n86q3EcAyratS66YpsB8rKQqwP6dGOvk5VW1uTxRnN7n0wvoW3dAYc8jedBhoaC+frOyTUuyy\nc5WnlFJe7YjV5L4eOALMw8okTxhjiuxdil/bqfqwt2cA9Tj/+quO/g38HvDY6/XQejobA3wvImtE\n5E67TH/3TtcaSAPeFeuW1zsiEo7WU1nGA/+1l7WuijHGHACeA5KBQ1ifO2tw8HOq2iUNIhIBfAk8\naIzJLL7NWKlSrX8cxBjjNsb0xPomnQB0cjikKkdERgFHjDFrnI6lmhhkjOkNXAHcIyJDim/U3z3A\n+mbXG3jdGNMLyMFqYj9F6+l09r340cDnJbdpXYHdp+MarIS0CRAOXO5kTNUqaRCRQKyE4WNjzFd2\ncaqINLa3N8b6dg1wAGhe7PBmdtm5ypuVUl5tGWNOAAuxmqDqiMjJYcOLX9up+rC3RwPHOP/6q24G\nAqNFZC/wKdYtihfReiqV/Y0HY8wRYAZWMqq/e6dLAVKMMSvs9S+wkgitp7O7AlhrjEm117WuTncp\nkGSMSTPGuICvsD67HPucqjZJg93zdRqw1RjzfLFNs4CTPWZvwerrcLL8ZrvXbT8gw272mguMEJG6\ndhY3AuueziEgU0T62e91c7FzVRsiEisidezlUKx+H1uxkoex9m4l6+lk/Y0FFtgZ/ixgvN0btzXQ\nHqtj0Sqgvd17NwiraXGW76+sYhljphpjmhljWmFdwwJjzE1oPZ1BRMJFJPLkMtbvzGb0d+80xpjD\nwH4R6WgXXQJsQevpXCbwy60J0LoqKRnoJyJh9nWc/D/l3OeU0x09zqNDyCCspqqNwHr7dSXW/Zr5\nwE7gByDG3l+AV7Hu528C4oud6zZgl/26tVh5PNaH4W7gFUp0aKoOL6A7sM6up83An+3yNvZ/kl1Y\nTYHBdnmIvb7L3t6m2Ln+aNfFdor1PLbrfYe97Y9OX3MF1Nkwfnl6QuvpzPppg9WregOQePJa9Hev\n1LrqCay2f/9mYvXo13oqva7Csb4FRxcr07o6s56eALbZ1/Ih1hMQjn1O6YiQSimllPJKtbk9oZRS\nSilnadKglFJKKa9o0qCUUkopr2jSoJRSSimvaNKglFJKKa9o0qBUDSYibrFmEUwUa+bT34mIn70t\nXkReOsexrUTkxsqL9oz3DxWRxSLifwHHjhKRJ30Rl1K1mT5yqVQNJiLZxpgIe7kB1oyey4wxf/Hi\n2GHAw8aYUb6N8qzvfw/WpDwvXsCxgjVZ20BjTG6FB6dULaUtDUrVEsYaAvpO4F57ZL1hIjIbQESG\n2i0S6+3JliKBZ4DBdtlDdsvDjyKy1n4NsI8dJiKLROQLEdkmIh/bf7QRkT4istxu5VgpIpFiTaj2\nTxFZJSIbReSus4R8E/ZId/Z7LBGRb0Rku4i8UazF5HI7ng0iMt++VgMsAhxJeJSqqQLK3kUpVVMY\nY/bYzf0NSmx6GLjHGLNMrEnh8rEmWzrV0iAiYcBlxph8EWmPNfxvvH18L6ALcBBYBgwUkZXAZ8A4\nY8wqEYkC8oDbsYYB7iMiwcAyEfneGJN0Mhh7SNs2xpi9xWJMAOKAfcB3wBgRWQy8DQwxxiSJSEyx\n/VcDg4HpF15jSqniNGlQSoH1h/55EfkY+MoYk2I3FhQXCLwiIj0BN9Ch2LaVxpgUALGmZW+FNS3v\nIWPMKgBjz0orIiOA7iJycuz8aKyx8JOKna8+cKLE+680xuyxz/FfrKHlC4AlJxMOY8zxYvsfwZoZ\nUClVQTRpUKoWEZE2WH/wjwCdT5YbY54RkW+wxqFfJiIjSzn8ISAV6IF1azO/2LaCYstuzv3ZIsB9\nxpi559gnD2sc/eJKdsAqq0NWiH0epVQF0T4NStUSIhILvAG8Ykr0gBaRtsaYTcaYf2DNfNcJyAIi\ni+0WjdVy4AEmAmU91bAdaCwifez3iBRrut65wK/FmuoeEekg1uyZpxhj0gF/ESmeOCTYs/H5AeOA\npcDPwBB75j5K3J7ogDXJj1KqgmhLg1I1W6h9uyAQKMKaJe/5UvZ7UEQuBjxYM1l+ay+7RWQD8B7w\nGvCliNyM1acg51xvbIwpFJFxwMtiTdOeB1wKvIN1+2Kt3WEyDbi2lFN8j3UL4gd7fRXWbIXtsKYG\nnmGM8YjIncBXdjJxBGs6eICLgannilEpdX70kUulVJUkIr2Bh4wxE8/38U8RaQh8Yoy5xJcxKlXb\n6O0JpVSVZIxZCyy8kMGdgBbA7yo4JKVqPW1pUEoppZRXtKVBKaWUUl7RpEEppZRSXtGkQSmllFJe\n0aRBKaWUUl7RpEEppZRSXtGkQSmllFJe+X/ehQFhSYKTuQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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27drFnj17CpZjYmJo165dwfL5TkddnJKmxS4vx+m4S9vWuXNn4uPjC/pefPjh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\naNKglFJKKa9o0qCUUkopr/w/u1wPcMxk1pIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OcOqUrctCmza2Q/n42EaOTk0NZ8uWXmzeXZXwRo1g+3Zbp0il1CVNkwalPNXm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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Pass it everything it needs from data_prior\n",
    "parallax_prior_repo = ParallaxPrior(ra=data_prior['ra'], \n",
    "                                    dec=data_prior['dec'], \n",
    "                                    r=data_prior['r_exp'], \n",
    "                                    r_sigma=data_prior['r_sigma'], \n",
    "                                    prior_type='finite_cloud')\n",
    "\n",
    "# Create the finite_cloud histograms\n",
    "parallax_prior_repo.make_histograms(data['ID'], data['ra'], data['dec'], \n",
    "                               1500, boundary_points=10)\n",
    "\n",
    "# Smooth and make fit functions of said histograms\n",
    "parallax_prior_repo.fit_priors(data['ID'], filter_window_size=5, \n",
    "                          filter_polynomial_order=3, fit_type='cubic')\n",
    "\n",
    "# Plot 5 of these histograms so we can have a peek\n",
    "test_IDs = np.arange(0, 5, dtype=np.int64)\n",
    "parallax_prior_repo.plot_priors(test_IDs, \n",
    "                                true_distribution=stellar_distribution, \n",
    "                                ra=data['ra'], dec=data['dec'], \n",
    "                                test_points=100,\n",
    "                                r_min=20000, r_max=80000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": [
    "# Rig the code for fast running if everything is ok =)\n",
    "parallax_prior_repo.prep_for_fast_running(data['ID'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## Setup of omega_0 constraining binary stars"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "In addition, we'll use some binary stars to constrain omega_0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 193,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ID</th>\n",
       "      <th>ra</th>\n",
       "      <th>dec</th>\n",
       "      <th>r_true</th>\n",
       "      <th>omega_true</th>\n",
       "      <th>gaia_exp</th>\n",
       "      <th>gaia_sigma</th>\n",
       "      <th>ext_exp</th>\n",
       "      <th>ext_sigma</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Empty DataFrame\n",
       "Columns: [ID, ra, dec, r_true, omega_true, gaia_exp, gaia_sigma, ext_exp, ext_sigma]\n",
       "Index: []"
      ]
     },
     "execution_count": 193,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Name the binaries and again create a data frame\n",
    "sampled_ids = pd.Series(np.arange(0, N_binaries))\n",
    "binaries = pd.DataFrame(sampled_ids, columns=['ID'])\n",
    "\n",
    "# Assign a random ra and dec to every star\n",
    "binaries['ra'] = pd.Series(np.random.rand(N_binaries) * 360)\n",
    "binaries['dec'] = pd.Series((np.random.rand(N_binaries) - 0.5)*180)\n",
    "\n",
    "# Repeat above and pull out some star locations from stellar_distribution\n",
    "i = 0\n",
    "r_true = np.zeros(N_binaries)\n",
    "while i < N_binaries:\n",
    "    # Create a test r of size 13 times that of the scale and a deviate test_p \n",
    "    # to compare with the interval\n",
    "    test_r = (2*scale - scale/2)*np.random.rand() + scale/2\n",
    "    test_p = np.random.rand()\n",
    "    \n",
    "    # See if the test point is in the distribution or not\n",
    "    if test_p < stellar_distribution(test_r, scale, fact=factor):\n",
    "        r_true[i] = test_r\n",
    "        i += 1\n",
    "\n",
    "# Assign r and implied parallax values we've got to the data frame\n",
    "binaries['r_true'] = pd.Series(r_true)\n",
    "binaries['omega_true'] = pd.Series((1 / r_true)*1e3)\n",
    "\n",
    "# Assign an experimental parallax and error\n",
    "parallax_errors = parallax_error_estimator(13, N_binaries)\n",
    "binaries['gaia_exp'] = (binaries['omega_true'] + omega_0_true\n",
    "                     + np.random.normal(loc=0, scale=1, size=N_binaries) \n",
    "                     * parallax_errors)\n",
    "binaries['gaia_sigma'] = np.abs(parallax_errors)\n",
    "\n",
    "# Same again, but for very precise external parallaxes\n",
    "parallax_errors = np.random.normal(loc=0, scale=0.0001, size=N_binaries)\n",
    "binaries['ext_exp'] = (binaries['omega_true'] * (1 + parallax_errors))\n",
    "binaries['ext_sigma'] = np.sqrt(np.abs(parallax_errors)**2 \n",
    "                                + 0.0001*binaries['ext_exp']**2)\n",
    "\n",
    "# Output data for a peek\n",
    "binaries"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "heading_collapsed": true
   },
   "source": [
    "# Deprecated code snippets"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "### OGLE LMC data loading"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": [
    "from astropy.io import ascii\n",
    "\n",
    "ogle_raw = ascii.read(data_dir + 'ogle_lmc_cepheid_cat')\n",
    "ogle_raw.convert_bytestring_to_unicode() ### some of the columns read in as bytestrings instead of strings. I think it was an astroconda update.\n",
    "\n",
    "ogle_raw_temp = ogle_raw.to_pandas()  # you can convert directly from an astropy table to a pandas df\n",
    "ogle_raw_df = ogle_raw_temp[['Star', 'Mode', '_RAJ2000', '_DEJ2000', '<Imag>', '<Vmag>', 'Per', 'e_Per']]\n",
    "ogle_raw_df = ogle_raw_df.iloc[2:] ## scrapping the first two lines - remnants of the header\n",
    "ogle_raw_df.reset_index(drop=True, inplace=True) ## resetting the index because i dropped the first two lines\n",
    "ogle_raw_df.rename(columns = {'Star': 'ID', 'Mode': 'type', '_RAJ2000': 'ra', '_DEJ2000' : 'dec',  '<Imag>' : 'm_I', '<Vmag>': 'm_V', 'Per': 'P', 'e_Per' : 'P_sigma'}, inplace=True) ## renaming the columns to match your naming scheme.\n",
    "\n",
    "num_cols = ['ra', 'dec', 'm_I', 'm_V', 'P', 'P_sigma'] ## numeric columns - need to convert to floats\n",
    "for cols in num_cols:\n",
    "    ogle_raw_df[cols] = pd.to_numeric(ogle_raw_df[cols], errors='coerce') ## errors='coerce' sets invalid reads to NaN, means that missing data is flagged properly\n",
    "\n",
    "\n",
    "#### Only thing below here in batdog.ipynb that I changed was commenting out your reading into ogle_raw_df. I left everything from where you were putting things into ogle_cepheids onwards.\n",
    "\n",
    "## plots make a nice PL now!!\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 284,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": [
    "from astropy.io import ascii"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 285,
   "metadata": {
    "hidden": true,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<i>Table masked=True length=3377</i>\n",
       "<table id=\"table140570394420112\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>_RAJ2000</th><th>_DEJ2000</th><th>Star</th><th>Mode</th><th>RAJ2000</th><th>DEJ2000</th><th>&lt;Imag&gt;</th><th>&lt;Vmag&gt;</th><th>Per</th><th>e_Per</th><th>Iamp</th><th>R21</th><th>R31</th><th>LC</th><th>PerM</th><th>IampM</th><th>PerS</th><th>IampS</th></tr></thead>\n",
       "<thead><tr><th>str11</th><th>str11</th><th>str4</th><th>str8</th><th>str11</th><th>str11</th><th>str6</th><th>str6</th><th>str11</th><th>str10</th><th>str6</th><th>str6</th><th>str6</th><th>str2</th><th>str10</th><th>str6</th><th>str10</th><th>str6</th></tr></thead>\n",
       "<tr><td>deg</td><td>deg</td><td></td><td></td><td>h:m:s</td><td>d:m:s</td><td>mag</td><td>mag</td><td>d</td><td>d</td><td>mag</td><td></td><td></td><td></td><td>d</td><td>mag</td><td>d</td><td>mag</td></tr>\n",
       "<tr><td>-----------</td><td>-----------</td><td>----</td><td>--------</td><td>-----------</td><td>-----------</td><td>------</td><td>------</td><td>-----------</td><td>----------</td><td>------</td><td>------</td><td>------</td><td>--</td><td>----------</td><td>------</td><td>----------</td><td>------</td></tr>\n",
       "<tr><td>067.7405417</td><td>-69.0603889</td><td>0001</td><td>1O</td><td>04 30 57.73</td><td>-69 03 37.4</td><td>17.777</td><td>18.173</td><td>0.3068149</td><td>0.0000002</td><td>0.349</td><td>0.258</td><td>0.089</td><td>LC</td><td></td><td></td><td></td><td>--</td></tr>\n",
       "<tr><td>067.9460000</td><td>-69.8193333</td><td>0002</td><td>F</td><td>04 31 47.04</td><td>-69 49 09.6</td><td>15.672</td><td>16.412</td><td>3.1181195</td><td>0.0000161</td><td>0.257</td><td>0.296</td><td>0.101</td><td>LC</td><td></td><td></td><td></td><td>--</td></tr>\n",
       "<tr><td>068.7737917</td><td>-70.4241389</td><td>0003</td><td>1O</td><td>04 35 05.71</td><td>-70 25 26.9</td><td>17.847</td><td>18.359</td><td>0.3500934</td><td>0.0000006</td><td>0.340</td><td>0.193</td><td>0.095</td><td>LC</td><td></td><td></td><td></td><td>--</td></tr>\n",
       "<tr><td>068.8339583</td><td>-69.8021389</td><td>0004</td><td>1O</td><td>04 35 20.15</td><td>-69 48 07.7</td><td>15.128</td><td>15.688</td><td>2.2296063</td><td>0.0000057</td><td>0.249</td><td>0.156</td><td>0.012</td><td>LC</td><td></td><td></td><td></td><td>--</td></tr>\n",
       "<tr><td>068.8813333</td><td>-69.7349722</td><td>0005</td><td>F</td><td>04 35 31.52</td><td>-69 44 05.9</td><td>14.661</td><td>15.413</td><td>5.6120581</td><td>0.0000135</td><td>0.521</td><td>0.431</td><td>0.167</td><td>LC</td><td></td><td></td><td></td><td>--</td></tr>\n",
       "<tr><td>068.9256667</td><td>-69.7247778</td><td>0006</td><td>1O</td><td>04 35 42.16</td><td>-69 43 29.2</td><td>14.697</td><td>15.365</td><td>3.2949240</td><td>0.0000124</td><td>0.212</td><td>0.113</td><td>0.049</td><td>LC</td><td></td><td></td><td></td><td>--</td></tr>\n",
       "<tr><td>069.1252083</td><td>-68.6265833</td><td>0007</td><td>1O</td><td>04 36 30.05</td><td>-68 37 35.7</td><td>16.932</td><td>17.561</td><td>0.7090850</td><td>0.0000013</td><td>0.189</td><td>0.166</td><td>0.123</td><td>LC</td><td></td><td></td><td></td><td>--</td></tr>\n",
       "<tr><td>069.1377917</td><td>-69.3121111</td><td>0008</td><td>1O/2O</td><td>04 36 33.07</td><td>-69 18 43.6</td><td>16.354</td><td>16.918</td><td>0.9728803</td><td>0.0000031</td><td>0.240</td><td>0.228</td><td>0.081</td><td>LC</td><td>0.7819963</td><td>0.060</td><td></td><td>--</td></tr>\n",
       "<tr><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td></tr>\n",
       "<tr><td>078.8300000</td><td>-70.0432222</td><td>3366</td><td>1O</td><td>05 15 19.20</td><td>-70 02 35.6</td><td>18.239</td><td>18.666</td><td>0.5202714</td><td>0.0000009</td><td>0.335</td><td>0.169</td><td>0.114</td><td>LC</td><td></td><td></td><td></td><td>--</td></tr>\n",
       "<tr><td>078.9700417</td><td>-69.7656111</td><td>3367</td><td>1O/2O</td><td>05 15 52.81</td><td>-69 45 56.2</td><td>18.640</td><td>19.217</td><td>0.2204178</td><td>0.0000002</td><td>0.251</td><td>0.165</td><td>0.000</td><td>LC</td><td>0.1773397</td><td>0.048</td><td></td><td>--</td></tr>\n",
       "<tr><td>078.9991250</td><td>-69.5130833</td><td>3368</td><td>1O</td><td>05 15 59.79</td><td>-69 30 47.1</td><td>17.799</td><td>18.347</td><td>0.2677830</td><td>0.0000004</td><td>0.068</td><td>0.150</td><td>0.000</td><td>LC</td><td></td><td></td><td></td><td>--</td></tr>\n",
       "<tr><td>080.2916667</td><td>-69.4518333</td><td>3369</td><td>1O/2O</td><td>05 21 10.00</td><td>-69 27 06.6</td><td>18.382</td><td>18.842</td><td>0.2318723</td><td>0.0000003</td><td>0.116</td><td>0.003</td><td>0.103</td><td>LC</td><td>0.1866170</td><td>0.072</td><td></td><td>--</td></tr>\n",
       "<tr><td>080.3087917</td><td>-70.1476111</td><td>3370</td><td>1O</td><td>05 21 14.11</td><td>-70 08 51.4</td><td>18.013</td><td>18.800</td><td>0.2692426</td><td>0.0000004</td><td>0.098</td><td>0.200</td><td>0.007</td><td>LC</td><td></td><td></td><td></td><td>--</td></tr>\n",
       "<tr><td>082.8985833</td><td>-70.0948333</td><td>3371</td><td>1O</td><td>05 31 35.66</td><td>-70 05 41.4</td><td>18.417</td><td>18.987</td><td>0.2697720</td><td>0.0000002</td><td>0.129</td><td>0.196</td><td>0.000</td><td>LC</td><td></td><td></td><td></td><td>--</td></tr>\n",
       "<tr><td>083.1353333</td><td>-67.7612500</td><td>3372</td><td>F</td><td>05 32 32.48</td><td>-67 45 40.5</td><td>16.590</td><td></td><td>2.0084594</td><td>0.0000215</td><td>0.439</td><td>0.452</td><td>0.240</td><td>LC</td><td></td><td></td><td></td><td>--</td></tr>\n",
       "<tr><td>083.2894583</td><td>-71.5283611</td><td>3373</td><td>1O</td><td>05 33 09.47</td><td>-71 31 42.1</td><td>18.394</td><td>18.958</td><td>0.2762256</td><td>0.0000010</td><td>0.111</td><td>0.000</td><td>0.000</td><td>LC</td><td></td><td></td><td></td><td>--</td></tr>\n",
       "<tr><td>084.1410833</td><td>-68.1065833</td><td>3374</td><td>1O/2O</td><td>05 36 33.86</td><td>-68 06 23.7</td><td>18.618</td><td>19.170</td><td>0.2222545</td><td>0.0000004</td><td>0.223</td><td>0.214</td><td>0.120</td><td>LC</td><td>0.1788834</td><td>0.108</td><td></td><td>--</td></tr>\n",
       "<tr><td>092.7729167</td><td>-71.0868889</td><td>3375</td><td>1O</td><td>06 11 05.50</td><td>-71 05 12.8</td><td>18.109</td><td>18.596</td><td>0.2560883</td><td>0.0000005</td><td>0.160</td><td>0.137</td><td>0.000</td><td>LC</td><td></td><td></td><td></td><td>--</td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<Table masked=True length=3377>\n",
       "  _RAJ2000    _DEJ2000  Star   Mode   ...    PerM    IampM     PerS    IampS \n",
       "   str11       str11    str4   str8   ...   str10     str6    str10     str6 \n",
       "----------- ----------- ---- -------- ... ---------- ------ ---------- ------\n",
       "        deg         deg               ...          d    mag          d    mag\n",
       "----------- ----------- ---- -------- ... ---------- ------ ---------- ------\n",
       "067.7405417 -69.0603889 0001 1O       ...                                  --\n",
       "067.9460000 -69.8193333 0002 F        ...                                  --\n",
       "068.7737917 -70.4241389 0003 1O       ...                                  --\n",
       "068.8339583 -69.8021389 0004 1O       ...                                  --\n",
       "068.8813333 -69.7349722 0005 F        ...                                  --\n",
       "068.9256667 -69.7247778 0006 1O       ...                                  --\n",
       "069.1252083 -68.6265833 0007 1O       ...                                  --\n",
       "069.1377917 -69.3121111 0008 1O/2O    ...  0.7819963  0.060                --\n",
       "        ...         ...  ...      ... ...        ...    ...        ...    ...\n",
       "078.8300000 -70.0432222 3366 1O       ...                                  --\n",
       "078.9700417 -69.7656111 3367 1O/2O    ...  0.1773397  0.048                --\n",
       "078.9991250 -69.5130833 3368 1O       ...                                  --\n",
       "080.2916667 -69.4518333 3369 1O/2O    ...  0.1866170  0.072                --\n",
       "080.3087917 -70.1476111 3370 1O       ...                                  --\n",
       "082.8985833 -70.0948333 3371 1O       ...                                  --\n",
       "083.1353333 -67.7612500 3372 F        ...                                  --\n",
       "083.2894583 -71.5283611 3373 1O       ...                                  --\n",
       "084.1410833 -68.1065833 3374 1O/2O    ...  0.1788834  0.108                --\n",
       "092.7729167 -71.0868889 3375 1O       ...                                  --"
      ]
     },
     "execution_count": 285,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ogle_raw = ascii.read(data_dir + 'ogle_lmc_cepheid_cat')\n",
    "\n",
    "# Some of the columns read in as bytestrings instead of strings.\n",
    "ogle_raw.convert_bytestring_to_unicode()\n",
    "ogle_raw"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 287,
   "metadata": {
    "collapsed": true,
    "hidden": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# Read stuff in to a nicer pandas DataFrame.\n",
    "#ogle_raw_df = pd.DataFrame({\n",
    "#     'ID':pd.Series(ogle_raw['Star'][2:], dtype=np.int),\n",
    "#     'type':pd.Series(ogle_raw['Mode'][2:], dtype=str),\n",
    "#     'ra':pd.Series(ogle_raw['_RAJ2000'][2:], dtype=np.float),\n",
    "#     'dec':pd.Series(ogle_raw['_DEJ2000'][2:], dtype=np.float),\n",
    "#     'm_I':pd.Series(np.genfromtxt(ogle_raw['<Imag>'][2:])),\n",
    "#     'm_V':pd.Series(np.genfromtxt(ogle_raw['<Vmag>'][2:])),\n",
    "#     'P':pd.Series(ogle_raw['Per'][2:], dtype=np.float),\n",
    "#     'P_sigma':pd.Series(ogle_raw['e_Per'][2:], dtype=np.float)\n",
    "#     })\n",
    "\n",
    "ogle_raw_temp = ogle_raw.to_pandas()  # you can convert directly from an astropy table to a pandas df\n",
    "ogle_raw_df = ogle_raw_temp[['Star', 'Mode', '_RAJ2000', '_DEJ2000', '<Imag>', '<Vmag>', 'Per', 'e_Per']]\n",
    "ogle_raw_df = ogle_raw_df.iloc[2:] ## scrapping the first two lines - remnants of the header\n",
    "ogle_raw_df.reset_index(drop=True, inplace=True) ## resetting the index because i dropped the first two lines\n",
    "ogle_raw_df.rename(columns = {'Star': 'ID', 'Mode': 'type', '_RAJ2000': 'ra', '_DEJ2000' : 'dec',  '<Imag>' : 'm_I', '<Vmag>': 'm_V', 'Per': 'P', 'e_Per' : 'P_sigma'}, inplace=True) ## renaming the columns to match your naming scheme.\n",
    "\n",
    "num_cols = ['ra', 'dec', 'm_I', 'm_V', 'P', 'P_sigma'] ## numeric columns - need to convert to floats\n",
    "for cols in num_cols:\n",
    "    ogle_raw_df[cols] = pd.to_numeric(ogle_raw_df[cols], errors='coerce') ## errors='coerce' sets invalid reads to NaN, means that missing data is flagged properly\n",
    "\n",
    "# Exclude all Cepheids that are NOT a) first mode pulsators, b) have periods in\n",
    "# the range log(P) > 0.4, c) do not have both I and V band photometry\n",
    "ogle_cepheids = ogle_raw_df.copy()[np.log10(np.array(ogle_raw_df.P)) > 0.4]\n",
    "ogle_cepheids = ogle_cepheids[ogle_cepheids.type == 'F       ']\n",
    "ogle_cepheids = ogle_cepheids[np.isfinite(ogle_cepheids.m_I)]\n",
    "ogle_cepheids = ogle_cepheids[np.isfinite(ogle_cepheids.m_V)]\n",
    "\n",
    "# Constants from Jacszyn 2016\n",
    "ogle_a = -3.317  # mag\n",
    "ogle_b = 15.890  # mag\n",
    "r_LMC = 49970  # pc\n",
    "\n",
    "# Calculate the Wesenheit extinction-independent magnitude\n",
    "ogle_cepheids['W_IVI'] = ogle_cepheids['m_I'] - 1.55 * (ogle_cepheids['m_V'] \n",
    "                                                        - ogle_cepheids['m_I'])\n",
    "ogle_cepheids['W_ref'] = ogle_a * np.log10(ogle_cepheids['P']) + ogle_b\n",
    "ogle_cepheids['r_exp'] = r_LMC * np.power(10, \n",
    "                          (ogle_cepheids['W_IVI'] - ogle_cepheids['W_ref'])/5.)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 288,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
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       "      <td>-68.956889</td>\n",
       "      <td>15.222</td>\n",
       "      <td>16.051</td>\n",
       "      <td>4.047853</td>\n",
       "      <td>0.000028</td>\n",
       "      <td>13.93705</td>\n",
       "      <td>13.875836</td>\n",
       "      <td>51398.708727</td>\n",
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       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>0021</td>\n",
       "      <td>F</td>\n",
       "      <td>69.879000</td>\n",
       "      <td>-69.261833</td>\n",
       "      <td>14.722</td>\n",
       "      <td>15.491</td>\n",
       "      <td>5.457975</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>13.53005</td>\n",
       "      <td>13.445266</td>\n",
       "      <td>51959.630419</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>0025</td>\n",
       "      <td>F</td>\n",
       "      <td>70.226542</td>\n",
       "      <td>-69.115083</td>\n",
       "      <td>15.343</td>\n",
       "      <td>16.157</td>\n",
       "      <td>3.733500</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>14.08130</td>\n",
       "      <td>13.992291</td>\n",
       "      <td>52060.842460</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>0026</td>\n",
       "      <td>F</td>\n",
       "      <td>70.301000</td>\n",
       "      <td>-68.799750</td>\n",
       "      <td>15.466</td>\n",
       "      <td>16.081</td>\n",
       "      <td>2.570676</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>14.51275</td>\n",
       "      <td>14.529873</td>\n",
       "      <td>49577.520364</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>0027</td>\n",
       "      <td>F</td>\n",
       "      <td>70.331208</td>\n",
       "      <td>-67.335583</td>\n",
       "      <td>15.039</td>\n",
       "      <td>15.641</td>\n",
       "      <td>3.522947</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>14.10590</td>\n",
       "      <td>14.075913</td>\n",
       "      <td>50664.859916</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>0033</td>\n",
       "      <td>F</td>\n",
       "      <td>70.491375</td>\n",
       "      <td>-69.433556</td>\n",
       "      <td>14.400</td>\n",
       "      <td>15.233</td>\n",
       "      <td>7.180776</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>13.10885</td>\n",
       "      <td>13.050080</td>\n",
       "      <td>51340.894438</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>0034</td>\n",
       "      <td>F</td>\n",
       "      <td>70.508000</td>\n",
       "      <td>-70.646944</td>\n",
       "      <td>13.737</td>\n",
       "      <td>14.630</td>\n",
       "      <td>11.254628</td>\n",
       "      <td>0.000059</td>\n",
       "      <td>12.35285</td>\n",
       "      <td>12.402735</td>\n",
       "      <td>48835.138154</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>0035</td>\n",
       "      <td>F</td>\n",
       "      <td>70.526292</td>\n",
       "      <td>-67.969861</td>\n",
       "      <td>14.375</td>\n",
       "      <td>15.157</td>\n",
       "      <td>6.943690</td>\n",
       "      <td>0.000045</td>\n",
       "      <td>13.16290</td>\n",
       "      <td>13.098445</td>\n",
       "      <td>51475.474878</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>0037</td>\n",
       "      <td>F</td>\n",
       "      <td>70.562000</td>\n",
       "      <td>-68.436278</td>\n",
       "      <td>15.525</td>\n",
       "      <td>16.308</td>\n",
       "      <td>3.066905</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>14.31135</td>\n",
       "      <td>14.275615</td>\n",
       "      <td>50799.134843</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>0039</td>\n",
       "      <td>F</td>\n",
       "      <td>70.658375</td>\n",
       "      <td>-68.516472</td>\n",
       "      <td>15.415</td>\n",
       "      <td>16.069</td>\n",
       "      <td>3.147737</td>\n",
       "      <td>0.000029</td>\n",
       "      <td>14.40130</td>\n",
       "      <td>14.238139</td>\n",
       "      <td>53869.320266</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>0040</td>\n",
       "      <td>F</td>\n",
       "      <td>70.696917</td>\n",
       "      <td>-69.816806</td>\n",
       "      <td>14.662</td>\n",
       "      <td>15.408</td>\n",
       "      <td>5.165145</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>13.50570</td>\n",
       "      <td>13.524705</td>\n",
       "      <td>49534.560510</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>0041</td>\n",
       "      <td>F</td>\n",
       "      <td>70.723875</td>\n",
       "      <td>-67.433278</td>\n",
       "      <td>15.522</td>\n",
       "      <td>16.270</td>\n",
       "      <td>2.910662</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>14.36260</td>\n",
       "      <td>14.350939</td>\n",
       "      <td>50239.063276</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>0042</td>\n",
       "      <td>F</td>\n",
       "      <td>70.756708</td>\n",
       "      <td>-70.167111</td>\n",
       "      <td>15.673</td>\n",
       "      <td>16.367</td>\n",
       "      <td>2.577029</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>14.59730</td>\n",
       "      <td>14.526317</td>\n",
       "      <td>51630.451069</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>0044</td>\n",
       "      <td>F</td>\n",
       "      <td>70.793667</td>\n",
       "      <td>-67.233583</td>\n",
       "      <td>14.933</td>\n",
       "      <td>15.581</td>\n",
       "      <td>4.035741</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>13.92860</td>\n",
       "      <td>13.880152</td>\n",
       "      <td>51097.406541</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>0046</td>\n",
       "      <td>F</td>\n",
       "      <td>70.836875</td>\n",
       "      <td>-69.229972</td>\n",
       "      <td>13.950</td>\n",
       "      <td>14.733</td>\n",
       "      <td>8.843549</td>\n",
       "      <td>0.000032</td>\n",
       "      <td>12.73635</td>\n",
       "      <td>12.750040</td>\n",
       "      <td>49655.966564</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>0048</td>\n",
       "      <td>F</td>\n",
       "      <td>70.881042</td>\n",
       "      <td>-69.624694</td>\n",
       "      <td>14.451</td>\n",
       "      <td>15.145</td>\n",
       "      <td>5.548514</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>13.37530</td>\n",
       "      <td>13.421566</td>\n",
       "      <td>48916.586368</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>0049</td>\n",
       "      <td>F</td>\n",
       "      <td>70.898250</td>\n",
       "      <td>-70.696250</td>\n",
       "      <td>15.328</td>\n",
       "      <td>16.201</td>\n",
       "      <td>3.849139</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>13.97485</td>\n",
       "      <td>13.948349</td>\n",
       "      <td>50583.583808</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>0050</td>\n",
       "      <td>F</td>\n",
       "      <td>70.918000</td>\n",
       "      <td>-69.570611</td>\n",
       "      <td>14.181</td>\n",
       "      <td>15.018</td>\n",
       "      <td>7.845610</td>\n",
       "      <td>0.000052</td>\n",
       "      <td>12.88365</td>\n",
       "      <td>12.922523</td>\n",
       "      <td>49083.409622</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>0053</td>\n",
       "      <td>F</td>\n",
       "      <td>71.020083</td>\n",
       "      <td>-69.841417</td>\n",
       "      <td>15.708</td>\n",
       "      <td>16.493</td>\n",
       "      <td>2.633879</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>14.49125</td>\n",
       "      <td>14.494884</td>\n",
       "      <td>49886.451868</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>0055</td>\n",
       "      <td>F</td>\n",
       "      <td>71.141917</td>\n",
       "      <td>-67.072611</td>\n",
       "      <td>15.433</td>\n",
       "      <td>16.091</td>\n",
       "      <td>2.862029</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>14.41310</td>\n",
       "      <td>14.375212</td>\n",
       "      <td>50849.519170</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>0056</td>\n",
       "      <td>F</td>\n",
       "      <td>71.196000</td>\n",
       "      <td>-70.230833</td>\n",
       "      <td>15.384</td>\n",
       "      <td>16.219</td>\n",
       "      <td>3.667048</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>14.08975</td>\n",
       "      <td>14.018162</td>\n",
       "      <td>51644.843137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>0057</td>\n",
       "      <td>F</td>\n",
       "      <td>71.219500</td>\n",
       "      <td>-69.033194</td>\n",
       "      <td>13.885</td>\n",
       "      <td>14.797</td>\n",
       "      <td>10.307435</td>\n",
       "      <td>0.000155</td>\n",
       "      <td>12.47140</td>\n",
       "      <td>12.529379</td>\n",
       "      <td>48653.428814</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>0058</td>\n",
       "      <td>F</td>\n",
       "      <td>71.222250</td>\n",
       "      <td>-69.191583</td>\n",
       "      <td>14.982</td>\n",
       "      <td>15.712</td>\n",
       "      <td>4.315583</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>13.85050</td>\n",
       "      <td>13.783574</td>\n",
       "      <td>51534.078686</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>0059</td>\n",
       "      <td>F</td>\n",
       "      <td>71.228750</td>\n",
       "      <td>-68.639361</td>\n",
       "      <td>15.011</td>\n",
       "      <td>15.815</td>\n",
       "      <td>4.390393</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>13.76480</td>\n",
       "      <td>13.758816</td>\n",
       "      <td>50107.889352</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>0060</td>\n",
       "      <td>F</td>\n",
       "      <td>71.248250</td>\n",
       "      <td>-69.832139</td>\n",
       "      <td>15.391</td>\n",
       "      <td>16.192</td>\n",
       "      <td>3.406508</td>\n",
       "      <td>0.000012</td>\n",
       "      <td>14.14945</td>\n",
       "      <td>14.124330</td>\n",
       "      <td>50551.430297</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3280</th>\n",
       "      <td>3281</td>\n",
       "      <td>F</td>\n",
       "      <td>88.238625</td>\n",
       "      <td>-69.487306</td>\n",
       "      <td>14.061</td>\n",
       "      <td>14.914</td>\n",
       "      <td>9.125371</td>\n",
       "      <td>0.000053</td>\n",
       "      <td>12.73885</td>\n",
       "      <td>12.704849</td>\n",
       "      <td>50758.592032</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3282</th>\n",
       "      <td>3283</td>\n",
       "      <td>F</td>\n",
       "      <td>88.255000</td>\n",
       "      <td>-69.493889</td>\n",
       "      <td>14.913</td>\n",
       "      <td>15.640</td>\n",
       "      <td>4.385904</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>13.78615</td>\n",
       "      <td>13.760290</td>\n",
       "      <td>50568.648978</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3283</th>\n",
       "      <td>3284</td>\n",
       "      <td>F</td>\n",
       "      <td>88.273250</td>\n",
       "      <td>-69.483722</td>\n",
       "      <td>13.967</td>\n",
       "      <td>14.877</td>\n",
       "      <td>10.477689</td>\n",
       "      <td>0.000075</td>\n",
       "      <td>12.55650</td>\n",
       "      <td>12.505779</td>\n",
       "      <td>51150.925435</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3284</th>\n",
       "      <td>3285</td>\n",
       "      <td>F</td>\n",
       "      <td>88.282792</td>\n",
       "      <td>-69.506111</td>\n",
       "      <td>14.033</td>\n",
       "      <td>14.731</td>\n",
       "      <td>7.640672</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>12.95110</td>\n",
       "      <td>12.960653</td>\n",
       "      <td>49750.657430</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3285</th>\n",
       "      <td>3286</td>\n",
       "      <td>F</td>\n",
       "      <td>88.286542</td>\n",
       "      <td>-69.502472</td>\n",
       "      <td>14.036</td>\n",
       "      <td>14.906</td>\n",
       "      <td>9.805576</td>\n",
       "      <td>0.000091</td>\n",
       "      <td>12.68750</td>\n",
       "      <td>12.601284</td>\n",
       "      <td>51993.925875</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3291</th>\n",
       "      <td>3292</td>\n",
       "      <td>F</td>\n",
       "      <td>88.383833</td>\n",
       "      <td>-69.812472</td>\n",
       "      <td>14.229</td>\n",
       "      <td>15.148</td>\n",
       "      <td>8.232539</td>\n",
       "      <td>0.000077</td>\n",
       "      <td>12.80455</td>\n",
       "      <td>12.853174</td>\n",
       "      <td>48863.488217</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3292</th>\n",
       "      <td>3293</td>\n",
       "      <td>F</td>\n",
       "      <td>88.397542</td>\n",
       "      <td>-69.535222</td>\n",
       "      <td>15.199</td>\n",
       "      <td>15.953</td>\n",
       "      <td>3.425647</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>14.03030</td>\n",
       "      <td>14.116259</td>\n",
       "      <td>48030.558648</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3293</th>\n",
       "      <td>3294</td>\n",
       "      <td>F</td>\n",
       "      <td>88.416167</td>\n",
       "      <td>-69.933139</td>\n",
       "      <td>15.358</td>\n",
       "      <td>16.019</td>\n",
       "      <td>2.698797</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>14.33345</td>\n",
       "      <td>14.459808</td>\n",
       "      <td>47145.220636</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3297</th>\n",
       "      <td>3298</td>\n",
       "      <td>F</td>\n",
       "      <td>88.538000</td>\n",
       "      <td>-68.864583</td>\n",
       "      <td>15.354</td>\n",
       "      <td>16.010</td>\n",
       "      <td>2.893474</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>14.33720</td>\n",
       "      <td>14.359471</td>\n",
       "      <td>49460.109301</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3298</th>\n",
       "      <td>3299</td>\n",
       "      <td>F</td>\n",
       "      <td>88.551833</td>\n",
       "      <td>-69.600917</td>\n",
       "      <td>15.363</td>\n",
       "      <td>16.034</td>\n",
       "      <td>2.809621</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>14.32295</td>\n",
       "      <td>14.401836</td>\n",
       "      <td>48187.257416</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3299</th>\n",
       "      <td>3300</td>\n",
       "      <td>F</td>\n",
       "      <td>88.558375</td>\n",
       "      <td>-69.612500</td>\n",
       "      <td>15.397</td>\n",
       "      <td>16.116</td>\n",
       "      <td>2.904300</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>14.28255</td>\n",
       "      <td>14.354091</td>\n",
       "      <td>48350.510499</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3300</th>\n",
       "      <td>3301</td>\n",
       "      <td>F</td>\n",
       "      <td>88.614083</td>\n",
       "      <td>-69.925000</td>\n",
       "      <td>15.229</td>\n",
       "      <td>15.904</td>\n",
       "      <td>2.936115</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>14.18275</td>\n",
       "      <td>14.338397</td>\n",
       "      <td>46513.607955</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3302</th>\n",
       "      <td>3303</td>\n",
       "      <td>F</td>\n",
       "      <td>88.674583</td>\n",
       "      <td>-69.181333</td>\n",
       "      <td>15.097</td>\n",
       "      <td>15.878</td>\n",
       "      <td>3.976123</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>13.88645</td>\n",
       "      <td>13.901592</td>\n",
       "      <td>49622.767392</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3305</th>\n",
       "      <td>3306</td>\n",
       "      <td>F</td>\n",
       "      <td>88.971000</td>\n",
       "      <td>-70.160694</td>\n",
       "      <td>15.006</td>\n",
       "      <td>15.673</td>\n",
       "      <td>3.493322</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>13.97215</td>\n",
       "      <td>14.088078</td>\n",
       "      <td>47372.232190</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3308</th>\n",
       "      <td>3309</td>\n",
       "      <td>F</td>\n",
       "      <td>89.051917</td>\n",
       "      <td>-70.393194</td>\n",
       "      <td>15.504</td>\n",
       "      <td>16.230</td>\n",
       "      <td>2.766483</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>14.37870</td>\n",
       "      <td>14.424125</td>\n",
       "      <td>48935.542732</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3313</th>\n",
       "      <td>3314</td>\n",
       "      <td>F</td>\n",
       "      <td>89.351792</td>\n",
       "      <td>-69.640194</td>\n",
       "      <td>15.300</td>\n",
       "      <td>15.942</td>\n",
       "      <td>2.890695</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>14.30490</td>\n",
       "      <td>14.360855</td>\n",
       "      <td>48698.802951</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3316</th>\n",
       "      <td>3317</td>\n",
       "      <td>F</td>\n",
       "      <td>89.388042</td>\n",
       "      <td>-69.200472</td>\n",
       "      <td>14.155</td>\n",
       "      <td>14.948</td>\n",
       "      <td>7.720349</td>\n",
       "      <td>0.000039</td>\n",
       "      <td>12.92585</td>\n",
       "      <td>12.945708</td>\n",
       "      <td>49515.101766</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3319</th>\n",
       "      <td>3320</td>\n",
       "      <td>F</td>\n",
       "      <td>89.445292</td>\n",
       "      <td>-68.684500</td>\n",
       "      <td>14.628</td>\n",
       "      <td>15.304</td>\n",
       "      <td>4.784989</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>13.58020</td>\n",
       "      <td>13.634835</td>\n",
       "      <td>48728.426936</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3322</th>\n",
       "      <td>3323</td>\n",
       "      <td>F</td>\n",
       "      <td>89.500000</td>\n",
       "      <td>-68.449972</td>\n",
       "      <td>13.869</td>\n",
       "      <td>14.754</td>\n",
       "      <td>10.687317</td>\n",
       "      <td>0.000089</td>\n",
       "      <td>12.49725</td>\n",
       "      <td>12.477242</td>\n",
       "      <td>50432.540976</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3323</th>\n",
       "      <td>3324</td>\n",
       "      <td>F</td>\n",
       "      <td>89.525583</td>\n",
       "      <td>-69.275528</td>\n",
       "      <td>14.640</td>\n",
       "      <td>15.349</td>\n",
       "      <td>4.675078</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>13.54105</td>\n",
       "      <td>13.668310</td>\n",
       "      <td>47125.641353</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3325</th>\n",
       "      <td>3326</td>\n",
       "      <td>F</td>\n",
       "      <td>89.625167</td>\n",
       "      <td>-69.110250</td>\n",
       "      <td>14.567</td>\n",
       "      <td>15.248</td>\n",
       "      <td>5.043398</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>13.51145</td>\n",
       "      <td>13.559067</td>\n",
       "      <td>48886.165191</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3328</th>\n",
       "      <td>3329</td>\n",
       "      <td>F</td>\n",
       "      <td>89.662625</td>\n",
       "      <td>-69.796222</td>\n",
       "      <td>15.157</td>\n",
       "      <td>15.911</td>\n",
       "      <td>3.608686</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>13.98830</td>\n",
       "      <td>14.041273</td>\n",
       "      <td>48765.728334</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3329</th>\n",
       "      <td>3330</td>\n",
       "      <td>F</td>\n",
       "      <td>89.684708</td>\n",
       "      <td>-70.211889</td>\n",
       "      <td>14.694</td>\n",
       "      <td>15.477</td>\n",
       "      <td>5.240855</td>\n",
       "      <td>0.000018</td>\n",
       "      <td>13.48035</td>\n",
       "      <td>13.503743</td>\n",
       "      <td>49434.564823</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3330</th>\n",
       "      <td>3331</td>\n",
       "      <td>F</td>\n",
       "      <td>89.718792</td>\n",
       "      <td>-69.170389</td>\n",
       "      <td>14.638</td>\n",
       "      <td>15.337</td>\n",
       "      <td>4.750641</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>13.55455</td>\n",
       "      <td>13.645213</td>\n",
       "      <td>47926.616202</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3334</th>\n",
       "      <td>3335</td>\n",
       "      <td>F</td>\n",
       "      <td>90.099625</td>\n",
       "      <td>-68.556250</td>\n",
       "      <td>14.164</td>\n",
       "      <td>14.932</td>\n",
       "      <td>6.936934</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>12.97360</td>\n",
       "      <td>13.099847</td>\n",
       "      <td>47147.633848</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3337</th>\n",
       "      <td>3338</td>\n",
       "      <td>F</td>\n",
       "      <td>90.499833</td>\n",
       "      <td>-71.195056</td>\n",
       "      <td>15.381</td>\n",
       "      <td>15.999</td>\n",
       "      <td>2.726368</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>14.42310</td>\n",
       "      <td>14.445166</td>\n",
       "      <td>49464.781000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3338</th>\n",
       "      <td>3339</td>\n",
       "      <td>F</td>\n",
       "      <td>90.601458</td>\n",
       "      <td>-69.254000</td>\n",
       "      <td>13.979</td>\n",
       "      <td>14.810</td>\n",
       "      <td>8.954679</td>\n",
       "      <td>0.000087</td>\n",
       "      <td>12.69095</td>\n",
       "      <td>12.732050</td>\n",
       "      <td>49033.098427</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3351</th>\n",
       "      <td>3352</td>\n",
       "      <td>F</td>\n",
       "      <td>91.639083</td>\n",
       "      <td>-71.607222</td>\n",
       "      <td>15.018</td>\n",
       "      <td>15.828</td>\n",
       "      <td>4.055881</td>\n",
       "      <td>0.000013</td>\n",
       "      <td>13.76250</td>\n",
       "      <td>13.872981</td>\n",
       "      <td>47491.196289</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3352</th>\n",
       "      <td>3353</td>\n",
       "      <td>F</td>\n",
       "      <td>92.033542</td>\n",
       "      <td>-68.949750</td>\n",
       "      <td>15.199</td>\n",
       "      <td>15.826</td>\n",
       "      <td>3.346438</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>14.22715</td>\n",
       "      <td>14.149959</td>\n",
       "      <td>51778.269706</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3356</th>\n",
       "      <td>3357</td>\n",
       "      <td>F</td>\n",
       "      <td>92.893167</td>\n",
       "      <td>-71.161528</td>\n",
       "      <td>15.088</td>\n",
       "      <td>15.802</td>\n",
       "      <td>3.817713</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>13.98130</td>\n",
       "      <td>13.960158</td>\n",
       "      <td>50458.886019</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1642 rows × 11 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        ID      type         ra        dec     m_I     m_V          P  \\\n",
       "1     0002  F         67.946000 -69.819333  15.672  16.412   3.118120   \n",
       "4     0005  F         68.881333 -69.734972  14.661  15.413   5.612058   \n",
       "11    0012  F         69.453042 -67.214417  15.469  16.067   2.660188   \n",
       "15    0016  F         69.635500 -67.646306  13.707  14.787  10.506456   \n",
       "16    0017  F         69.736792 -69.688389  15.345  15.992   3.677256   \n",
       "17    0018  F         69.745750 -68.956889  15.222  16.051   4.047853   \n",
       "20    0021  F         69.879000 -69.261833  14.722  15.491   5.457975   \n",
       "24    0025  F         70.226542 -69.115083  15.343  16.157   3.733500   \n",
       "25    0026  F         70.301000 -68.799750  15.466  16.081   2.570676   \n",
       "26    0027  F         70.331208 -67.335583  15.039  15.641   3.522947   \n",
       "32    0033  F         70.491375 -69.433556  14.400  15.233   7.180776   \n",
       "33    0034  F         70.508000 -70.646944  13.737  14.630  11.254628   \n",
       "34    0035  F         70.526292 -67.969861  14.375  15.157   6.943690   \n",
       "36    0037  F         70.562000 -68.436278  15.525  16.308   3.066905   \n",
       "38    0039  F         70.658375 -68.516472  15.415  16.069   3.147737   \n",
       "39    0040  F         70.696917 -69.816806  14.662  15.408   5.165145   \n",
       "40    0041  F         70.723875 -67.433278  15.522  16.270   2.910662   \n",
       "41    0042  F         70.756708 -70.167111  15.673  16.367   2.577029   \n",
       "43    0044  F         70.793667 -67.233583  14.933  15.581   4.035741   \n",
       "45    0046  F         70.836875 -69.229972  13.950  14.733   8.843549   \n",
       "47    0048  F         70.881042 -69.624694  14.451  15.145   5.548514   \n",
       "48    0049  F         70.898250 -70.696250  15.328  16.201   3.849139   \n",
       "49    0050  F         70.918000 -69.570611  14.181  15.018   7.845610   \n",
       "52    0053  F         71.020083 -69.841417  15.708  16.493   2.633879   \n",
       "54    0055  F         71.141917 -67.072611  15.433  16.091   2.862029   \n",
       "55    0056  F         71.196000 -70.230833  15.384  16.219   3.667048   \n",
       "56    0057  F         71.219500 -69.033194  13.885  14.797  10.307435   \n",
       "57    0058  F         71.222250 -69.191583  14.982  15.712   4.315583   \n",
       "58    0059  F         71.228750 -68.639361  15.011  15.815   4.390393   \n",
       "59    0060  F         71.248250 -69.832139  15.391  16.192   3.406508   \n",
       "...    ...       ...        ...        ...     ...     ...        ...   \n",
       "3280  3281  F         88.238625 -69.487306  14.061  14.914   9.125371   \n",
       "3282  3283  F         88.255000 -69.493889  14.913  15.640   4.385904   \n",
       "3283  3284  F         88.273250 -69.483722  13.967  14.877  10.477689   \n",
       "3284  3285  F         88.282792 -69.506111  14.033  14.731   7.640672   \n",
       "3285  3286  F         88.286542 -69.502472  14.036  14.906   9.805576   \n",
       "3291  3292  F         88.383833 -69.812472  14.229  15.148   8.232539   \n",
       "3292  3293  F         88.397542 -69.535222  15.199  15.953   3.425647   \n",
       "3293  3294  F         88.416167 -69.933139  15.358  16.019   2.698797   \n",
       "3297  3298  F         88.538000 -68.864583  15.354  16.010   2.893474   \n",
       "3298  3299  F         88.551833 -69.600917  15.363  16.034   2.809621   \n",
       "3299  3300  F         88.558375 -69.612500  15.397  16.116   2.904300   \n",
       "3300  3301  F         88.614083 -69.925000  15.229  15.904   2.936115   \n",
       "3302  3303  F         88.674583 -69.181333  15.097  15.878   3.976123   \n",
       "3305  3306  F         88.971000 -70.160694  15.006  15.673   3.493322   \n",
       "3308  3309  F         89.051917 -70.393194  15.504  16.230   2.766483   \n",
       "3313  3314  F         89.351792 -69.640194  15.300  15.942   2.890695   \n",
       "3316  3317  F         89.388042 -69.200472  14.155  14.948   7.720349   \n",
       "3319  3320  F         89.445292 -68.684500  14.628  15.304   4.784989   \n",
       "3322  3323  F         89.500000 -68.449972  13.869  14.754  10.687317   \n",
       "3323  3324  F         89.525583 -69.275528  14.640  15.349   4.675078   \n",
       "3325  3326  F         89.625167 -69.110250  14.567  15.248   5.043398   \n",
       "3328  3329  F         89.662625 -69.796222  15.157  15.911   3.608686   \n",
       "3329  3330  F         89.684708 -70.211889  14.694  15.477   5.240855   \n",
       "3330  3331  F         89.718792 -69.170389  14.638  15.337   4.750641   \n",
       "3334  3335  F         90.099625 -68.556250  14.164  14.932   6.936934   \n",
       "3337  3338  F         90.499833 -71.195056  15.381  15.999   2.726368   \n",
       "3338  3339  F         90.601458 -69.254000  13.979  14.810   8.954679   \n",
       "3351  3352  F         91.639083 -71.607222  15.018  15.828   4.055881   \n",
       "3352  3353  F         92.033542 -68.949750  15.199  15.826   3.346438   \n",
       "3356  3357  F         92.893167 -71.161528  15.088  15.802   3.817713   \n",
       "\n",
       "       P_sigma     W_IVI      W_ref         r_exp  \n",
       "1     0.000016  14.52500  14.251758  56670.599023  \n",
       "4     0.000014  13.49540  13.405162  52090.315683  \n",
       "11    0.000002  14.54210  14.480566  51406.283958  \n",
       "15    0.001555  12.03300  12.501830  40266.458470  \n",
       "16    0.000030  14.34215  14.014157  58117.630213  \n",
       "17    0.000028  13.93705  13.875836  51398.708727  \n",
       "20    0.000026  13.53005  13.445266  51959.630419  \n",
       "24    0.000010  14.08130  13.992291  52060.842460  \n",
       "25    0.000003  14.51275  14.529873  49577.520364  \n",
       "26    0.000005  14.10590  14.075913  50664.859916  \n",
       "32    0.000022  13.10885  13.050080  51340.894438  \n",
       "33    0.000059  12.35285  12.402735  48835.138154  \n",
       "34    0.000045  13.16290  13.098445  51475.474878  \n",
       "36    0.000008  14.31135  14.275615  50799.134843  \n",
       "38    0.000029  14.40130  14.238139  53869.320266  \n",
       "39    0.000008  13.50570  13.524705  49534.560510  \n",
       "40    0.000023  14.36260  14.350939  50239.063276  \n",
       "41    0.000003  14.59730  14.526317  51630.451069  \n",
       "43    0.000005  13.92860  13.880152  51097.406541  \n",
       "45    0.000032  12.73635  12.750040  49655.966564  \n",
       "47    0.000017  13.37530  13.421566  48916.586368  \n",
       "48    0.000015  13.97485  13.948349  50583.583808  \n",
       "49    0.000052  12.88365  12.922523  49083.409622  \n",
       "52    0.000004  14.49125  14.494884  49886.451868  \n",
       "54    0.000003  14.41310  14.375212  50849.519170  \n",
       "55    0.000007  14.08975  14.018162  51644.843137  \n",
       "56    0.000155  12.47140  12.529379  48653.428814  \n",
       "57    0.000010  13.85050  13.783574  51534.078686  \n",
       "58    0.000008  13.76480  13.758816  50107.889352  \n",
       "59    0.000012  14.14945  14.124330  50551.430297  \n",
       "...        ...       ...        ...           ...  \n",
       "3280  0.000053  12.73885  12.704849  50758.592032  \n",
       "3282  0.000010  13.78615  13.760290  50568.648978  \n",
       "3283  0.000075  12.55650  12.505779  51150.925435  \n",
       "3284  0.000019  12.95110  12.960653  49750.657430  \n",
       "3285  0.000091  12.68750  12.601284  51993.925875  \n",
       "3291  0.000077  12.80455  12.853174  48863.488217  \n",
       "3292  0.000005  14.03030  14.116259  48030.558648  \n",
       "3293  0.000004  14.33345  14.459808  47145.220636  \n",
       "3297  0.000003  14.33720  14.359471  49460.109301  \n",
       "3298  0.000003  14.32295  14.401836  48187.257416  \n",
       "3299  0.000004  14.28255  14.354091  48350.510499  \n",
       "3300  0.000004  14.18275  14.338397  46513.607955  \n",
       "3302  0.000009  13.88645  13.901592  49622.767392  \n",
       "3305  0.000004  13.97215  14.088078  47372.232190  \n",
       "3308  0.000004  14.37870  14.424125  48935.542732  \n",
       "3313  0.000004  14.30490  14.360855  48698.802951  \n",
       "3316  0.000039  12.92585  12.945708  49515.101766  \n",
       "3319  0.000011  13.58020  13.634835  48728.426936  \n",
       "3322  0.000089  12.49725  12.477242  50432.540976  \n",
       "3323  0.000023  13.54105  13.668310  47125.641353  \n",
       "3325  0.000011  13.51145  13.559067  48886.165191  \n",
       "3328  0.000009  13.98830  14.041273  48765.728334  \n",
       "3329  0.000018  13.48035  13.503743  49434.564823  \n",
       "3330  0.000009  13.55455  13.645213  47926.616202  \n",
       "3334  0.000021  12.97360  13.099847  47147.633848  \n",
       "3337  0.000002  14.42310  14.445166  49464.781000  \n",
       "3338  0.000087  12.69095  12.732050  49033.098427  \n",
       "3351  0.000013  13.76250  13.872981  47491.196289  \n",
       "3352  0.000005  14.22715  14.149959  51778.269706  \n",
       "3356  0.000006  13.98130  13.960158  50458.886019  \n",
       "\n",
       "[1642 rows x 11 columns]"
      ]
     },
     "execution_count": 288,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ogle_cepheids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 289,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.51312355,  0.49389276, -0.45581608, ..., -0.55873607,\n",
       "       -0.65314944, -0.59161026])"
      ]
     },
     "execution_count": 289,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.log10(np.asarray(ogle_raw['Per'][2:], dtype=np.float))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 290,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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SapdSaonPMe8FttR4XMJcp1DC1TCCxE5Y3clS+wNjHUsk4G1vM2trLXPHUm4fTY64IwWh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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(10, 5))\n",
    "\n",
    "# PL plot\n",
    "ax[0].plot(np.log10(ogle_cepheids['P']), ogle_cepheids['W_IVI'], 'g.', ms=2)\n",
    "ax[0].set_xlabel(\"log(Period)\")\n",
    "ax[0].set_ylabel(\"Apparent magnitude\")\n",
    "ax[0].set_title(\"OGLE Cepheids - LMC - PLR\")\n",
    "ax[0].invert_yaxis()\n",
    "\n",
    "# RA/DEC plot\n",
    "ax[1].plot(ogle_cepheids['ra'], ogle_cepheids['dec'], 'r.', ms=2)\n",
    "ax[1].set_xlabel(\"ra\")\n",
    "ax[1].set_ylabel(\"dec\")\n",
    "ax[1].set_title(\"ra/dec\")\n",
    "ax[1].invert_xaxis()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "### VMC data loading"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "hidden": true,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['IAUNAME', 'SOURCEID', 'VARID', 'FIELDID', 'CUEVENTID', 'RA2000',\n",
       "       'DEC2000', 'CEPHTYPE', 'CEPHSUBTYPE', 'CEPHMODE', 'PERIOD', 'YNEPOCHS',\n",
       "       'YMEANMAG', 'YMAGERR', 'YAMPL', 'YAMPLERR', 'JNEPOCHS', 'JMEANMAG',\n",
       "       'JMAGERR', 'JAMPL', 'JAMPLERR', 'KSNEPOCHS', 'KSMEANMAG', 'KSMAGERR',\n",
       "       'KSAMPL', 'KSAMPLERR', 'NOTES', 'ORIGVSAREL', 'ORIGVSASOURCEID',\n",
       "       'CATALOGUE', 'EXTERNALID'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vmc_cepheids_raw = pd.read_csv(data_dir + 'vmc_cepheids.csv')\n",
    "vmc_cepheids_raw.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4x4G5InIAeBpYa6wWYCOwD3gZ+LMx5tcJHKdSaqiVl0NxMbjdcQu8Qul0pFJKhTDGdABf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\nlIoBTcKUUkoppWLg/wOgVfrg+kb9UgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(10, 5))\n",
    "\n",
    "# PL plot\n",
    "ax[0].plot(np.log10(vmc_cepheids_raw['PERIOD']), vmc_cepheids_raw['KSMEANMAG'], 'g.', ms=2)\n",
    "ax[0].set_xlabel(\"log(Period)\")\n",
    "ax[0].set_ylabel(\"Apparent magnitude\")\n",
    "ax[0].set_title(\"VMC Cepheids - SMC and LMC - PLR\")\n",
    "ax[0].invert_yaxis()\n",
    "\n",
    "# RA/DEC plot\n",
    "ax[1].plot(vmc_cepheids_raw['RA2000'], vmc_cepheids_raw['DEC2000'], 'r.', ms=2)\n",
    "ax[1].set_xlabel(\"ra\")\n",
    "ax[1].set_ylabel(\"dec\")\n",
    "ax[1].set_title(\"ra/dec\")\n",
    "ax[1].invert_xaxis()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": [
    "vmc_cepheids_all = vmc_cepheids_raw.rename(index=str, columns={\n",
    "                                            'IAUNAME':'IAU_ID', \n",
    "                                            'FIELDID':'field_ID',\n",
    "                                            'RA2000':'ra',\n",
    "                                            'DEC2000':'dec', \n",
    "                                            'CEPHTYPE':'type', \n",
    "                                            'CEPHSUBTYPE':'sub_type', \n",
    "                                            'CEPHMODE':'P_mode', \n",
    "                                            'PERIOD':'P', \n",
    "                                            'YMEANMAG':'m_Y', \n",
    "                                            'YMAGERR':'m_sigma_Y', \n",
    "                                            'JMEANMAG':'m_J',\n",
    "                                            'JMAGERR':'m_sigma_J',\n",
    "                                            'KSMEANMAG':'m_K', \n",
    "                                            'KSMAGERR':'m_sigma_K'})\n",
    "jupyter_go_away = 1 + 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "Make a VMC Cepheids data frame that only has good cepheids in the LMC."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": [
    "# Make a brand new copied data frame and only containing LMC cepheids.\n",
    "#vmc_cepheids_LMC = vmc_cepheids_all.copy()[np.core.defchararray.startswith(\n",
    "#    np.asarray(vmc_cepheids_all['field_ID'], dtype=str), 'LMC')]\n",
    "\n",
    "vmc_cepheids_LMC = vmc_cepheids_all.copy()[np.where(np.logical_and(vmc_cepheids_all['ra']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MZxi5dYTMdIblRy9nYu8EA+cMzAzoz2cyM8maG9ew4fwNGismIiLlK7QOZA3X\nhywmyezIN+bZ/Ajwg1glaWlSUYbrlntvYdlRy9j38D4cp+ukLq44+4o5a0EWM7pzlKFtQzOPu5d3\nz6wtWciaG9fMLIGkshUiIlK2QutA1nB9yGKSzI58J8GitZeGt08A/xfYbmZvq2LbJCWmH58G4ODj\nBwG45b5bOO+k8/jG3d9g3cQ6RneOljxHT2cPy49eDkDXsi42XryxZOC24fwNdC/vbpqyFUlnN2oW\npIhIhUTrQOZ2ORbank8mA+vXB/cVlmRM2GHAC9z9FwBm9tvAp4AzgG3ApyveKqmb3LUhM9MZvnn3\nNwG499f3AkEQlXQgfmY6w8htI2y/ezt7HtpD9/LuRAEYQGdHZ1NlwJLObtQsSBGRFKli12WSIOyE\nKAAL3R9ue9DMDla0NVJ3uQHA6M5Rbrl3dv32rpO62PSmTYkH4o/uHGVoa9ANefaSs3noNw/Rs6mH\nV53wKta9al1LzYpMOrtRsyBFRFKkil2XSYKwLWb2VYKirQBvCre1Aw9XvEVSV9EXf09nD+u3r6en\ns4e7HrmL8R+N031KN4OrBssKnHo6e/jqj7+KueHmMwHdLffewrHtx7ZUpifp7EbNghQRSZGo67IK\nkgRh7yUIvF4ZPv4U8OWwgvS5VWmV1E0UAAzePMjQtiGyB7KceOSJ7HtkHyceeWLiACya2fjCY1/I\ntru2AbD2zLXg8Ojjj3L4YYfT09lTzZciIiLNIiUlJSotSYkKB74U3qQFZKYzbNm/BYDNezfzqiWv\nYuCcgcTdY5npzMzi3r8+8GsGzh4AY2Y25OCWQYa2DrFp1yYGVw1W74WIiEhzqOS4rBQFdElKVLwC\n+GfgBQQL2T4VyLr7EVVum9TYt+/5Nn3X9/F7y36PrXdvBYJuw1vuvYXhruFEWbDMdIbeL/fOFHZ9\n0XEvOvQgz7kXEREpppLjslJSIwySdUeOAG8hGBO2ErgMOKWajZL66Lu+j90P7Ob+7P0sO3IZ+x7Z\nx5nPOZP2p7Un7joc3TnKxN4JAM58zplMPjjJlTuuBKB9UTtrX7mW/jP6aV/croHnIiKSTO64rIVk\ns1JSIwyS1QnD3fcAT3X3J9x9FLigus2SWorqUg2eM0jbYW08+JsH2ffIPrqXd3Pe8vOY2BssLZRE\n34o+uk7qAuDn2Z8zsXeCZUcuY+2Za2eCrmjcWSvNjCxENcFEROYhymaNlq5TeYhyaoRVWZJM2LSZ\nLQbuMLNh4GckDN6kMURlKbqWdc0UZl1+9HI2nL+BY9qOoX1R8qxVR1sHm960idXXrp6pdr/vkX20\nLW6bCbpya5G1oug9yB7Izqxvl1WXAAAgAElEQVQkoBmRIiIJpSibtRBJgqm3EYwD6weywAkEsyWl\nSfR09tC9vJslRy4BYNmRy9jz0B7GJscSZa3i2ZwouNhw/gYGzh7gzOeeCcD0gemZ46OgL0ml/WY1\nU4/NYLhrWF2zC2BmrzCzZ8QeH2FmZ9SzTSJSZSnKZi1EktmRd4V/PgoMFTtWGtOmXZsY3zPO2UvO\nBuCS37mEY9uPTRwYxAu8Zg9mGdo6RPZglsFzB8GCwf1ti9tmjlcx0rnvQatmAyvoX4GXxR7/Os82\nEZHUSTI78kLgI8CJ4fFGULlCsyObRThL8YznnsG5S88Fmw0SkizQHQ8oRm4dAWD73dvJTGfoP72/\nrO7MVqGCrBVlYSkdANz9STNLMtRCRKSuknxQ/SPwRuAH8Q86aR69L+pl+z3bgwcGQ1uHaF/UDpBo\nDcOOtg76VvQxunOU3hf1cvtPb2d8zzijO0dZ+8q1hzxXayNKhe01sz8hyH4B/DGwt47tERFJJEkQ\ndg+wSwFYc8pMZ1hz4xom9k0wsW+CgbMHDhmjlCSLFQ+sNpy/AaBgWQt1R0qFvRv4J+AvCfK6Xwcu\nr2uLREQSSBKErQPGzWwr8Fi00d03VK1VUjOjO0cZ3zPOsiOXseTIJfS+qJfOjs6Z/UkzVfHAKjon\nwMaLNx7SlVmJrrhmmWHZLK+jntz9foJahiIiDSXJ7MiPAtPA04FnxG7SQArVo+pb0UfXsi72PbKP\nrXdvTVwPLFd8FmXfij66l3czvmec1deurkoNrHJmWKapFlduWzRTdOHM7BQz+7qZ7Qofv9jM/rLe\n7RKRPDIZWL8+uJdEmbBnu/upVW+JVFX0ZZ89kKV9cVABf2xyjL4VfbxyySuZ2DfBOSeeQ/ZAlsx0\npmRJilLZm9OefRoHnjwwZ2xYJZXTpZmGMWgzdcHC2aNRW9Q1WxGfANYC/w7g7t83s88Bf1PXVonI\noVK0ZFAaJAnCxs3sPHffXPXWSNVEX/LZg1nWTaxjy/4tM12G0QzGKEBoX9xeNFgpFdSM7hxlaNsQ\nXcu6GDg7+cLf5SinSzMNgU70nuWOudMsyYpoc/fbzCy+7fF6NUaaWIoWfk6lJO9PkxRZrZQkQdh7\ngA+a2WPAQVSioiFF3YQjt40wcPYAvS/qZdXSVXMCk95Te8GDQK1YNiwe1OTLivWt6JsJ8s47+by6\nj3WqV6CTmc4wctsIeDADFVQXrEoyZnYyYbEVM7uEYGUPaVYLCYZyn5vvXIXOPzICQ0OQzcLgYMVe\nTtNIkuXq6AjeVwWzQLJirRr/1SRGd44ytHWI4a5hjmk7Zs72KLPVvriddRPrZhbbjosHXNG+9dvX\nH5IV62jrYOPFG2eObTX5liQqlV2UBXkvcBXwfDO7D9gHXFrfJklVxb/sy/1Czw0U8gUO0bZsFtrb\noacHxsZgOlz54+abg/v+/pYPIuZImuVSl+QMFTRsIT2dPWzZv4Wezp45gVc8s/XA9AMzx+SKnrNl\n/5aZWY/Rc3s6e+YUdm3lbraZrsdzBhg4ZwBcY76qwczWxB6OAzcTTDbKEiytphnczSr+ZR99oW/Z\nAhs3Fs5u5XtuJhMEWgMDcwOH6O9sNjj35s0wMREEDN3dMD4O27YFAZqyOrOipYRKUZfkDAVhLWRs\ncozxPeNzuiGjoCkKmKLyEquWrmJtx9z/meLdjNFg++i5+TJirUpLEtVMlKXvBE4DricYLvE24LZ6\nNUpqIP5l39cXBGDj40F3YXt7EDwNhavs5QYF8eeuXx8cNzw8N4CKjslkgvNNTQVBGMBpp8ELXwht\nbXODwHzXkvySBmstoGpBmJldDVwI3B/NrjSzQeBdwFR42F+4+3i12iBzFQq8Ch2Tq1g3YxoGv6dF\nK2cBa8ndhwDMbBvwMnf/Vfh4ELihjk2TWuroCDJgo6OzmauBgSCwKpVpSZqReec74dhjZ4O74eHZ\nIC03k6bB+1IOdy96Az6dZFueY84mWEB3V2zbIPDBUs/Nvb385S93KWwqO+XD3xz2qexUvZsiUjHA\nDk/w+QBMAk+LPX4aMJnkubW46fOrhqam3IeHg/tKGBhwh+A+3/mHh4P9w8Ozz8m3rRVV+t+iwST9\n/EpSrPWF8Qdm9lTg5QmCu23AgwnOLwtU6YKfaSpuKpLAp4DbzGwwzILdClxT1xZJbUUFQGG2izAq\nBlqJ4qDT07Pnj3dl9vQcmnHr60uWhWt2UTftaJHvJRVuLdwdaWYfAv4CONzMfhltBg4QzESar34z\nuwzYAXzA3R9awLlaVnymYtKuwKRL5KShuKlIUu7+UTP7b+CscFOfu++sZ5ukgpJ078XHZUHp2Y/F\nrjUyEvzd3x/cojFm8z1nM6pUPbBWfx8hUXfk3yZJqRV47lLmdkf+NvBUghlMHwWuLvLcywkCtR1L\nliypUsKwcQ1/c9gZxAduHkjUFTmVnfLuz3Q7g/jwN4unyXO7N1uxu7MVX3PakDCdn/abuiMXqFD3\nXry7K9/fu3fPvc/XLVaoezH3elNTQZfkwMCh10va3mZSqdeY731Mui3lkn5+JakT9iEzew5wIrHM\nmQfdjeUGfL+I/jazTwBfLXLsVYQZt5UrV3q512p2MxXwD2QTZa2iWY/dy7tLZsxyB5a3YmasFV+z\nSCr19ASzH3tyyubkZlHimZS1a4NurlJZltxz9PUFWS+Ym8Hp6AgyYuvWzZalKKQVyi9U6jXmzpLM\nZGD16mCmKxxaty2+rUmUDMLM7GPAW4A7gSfCzQ6UHYSZ2bPcPapkfTGwq9xzSCAKlDLTmZm1ION1\nunItpGxCK8587FvRR/ZAtuTqASJSZWNjwZfyqlVzv4CjgCmbDb68i9UDKyT3mI6OwpXwo2N6evIH\nCpFWKL9Qrdc4Ohq8r93d+eu2NWNgWypVRs7Mo6Q3YBPB0iEHgXuBdwKfBn4AfB8YA56V5Fytls6f\nT1dY1D0ZdTWWe45Sx7di91zueyq1hbojxT3oTuzuDu5zxbvFatVlFV0zalODdZNVVKXf8wbsdiwk\n6edXkjphe4FFwGNlBne9eTZ/spxztKr5dIXlZqvKPcfIbSMMbR0iezDL4KrBom3qW9GXaIB/o2vF\nDKAEzOx9BMshPQHc4O7rzGwx8O/ASuBJ4E/dfUv9WtkiCmXCIH/lfKhuJqoe10yrSr/+Vsgi5kgS\nhE0Dd5jZ14kFYu7+J1VrVYubz5f/zALdt46AhYtxc+hyQgX57H2hRbmj+1YZL6Wiq63JzM4FLgJe\n4u6Pmdlx4a53Abj7i8Jt/21mp7n7k/Vqa0so1hWVWzm/0HGVEJ8RWKtrpl3uElDxmaUqVJtMqVQZ\nsDrfLUmarVI3pfOTibrP4l1oSbvU4t2NpZ7Til2T7q37uuuFOnVHAl8EuvJsvxJ4W+zx14HTS51P\nn19NIumMwCbqUitLoZmlLSrp51eS2ZEbzexwYIm7T1Y8CpSKiQaTY4dm08qZEVnqOa2aIWqVDKBw\nCnCWmX0U+A3BKh+3A98DesxsE3ACQdHqE9A6lfVTrF7VQpYPyvfc3KxPfH88CwSF161sZoVmlkpx\npaI04PUEg/P3hY9fCowlifAqddMvSamVYtkuZcJqiypmwoAJgtnZubeLwvt/JihOfTqwL/z7MOAf\ngDsIFgsfB95Q4Pyqc1gLxbJTC6llFR98n6QWWDwLtHZtc2fCWjXTV6akn19JxoQNhh9EW8Kg7Q4z\nO2n+YZ9IehXLdrVqBrAZuXtXoX1m9h7gK+EH6W1m9iTQ4e5TwPtjx30L+FGB86vOYS0Uy04tZLxW\nX19Qm2x8PDhntFh3dP7cc/f1webNMDGx4JdUN0kzh60+GaHCkgRhB939ETOLb9NA1BTITGcYuW2E\n6QPTtC1uo/fUXj753U+y8xc7GXntCJ0dnfVuYsPRjEgBrgPOBW42s1OAxUDGzNoAc/esmb0GeNzd\n76xnQ1tefGD+4GDQDZjNBn8vZKZdRwds3DgblEDx4rAdHbBpU3BM7hJHjSJ6fdnsbEHafMFYq09G\nqLAkQdgPzewPgaea2fOAPwG+Vd1mSVyhNR9Hd44ytHVo5vH2u7czsS/4JbbmxjXccOkNNW9ro1O2\nS4CrgavNbBfBWrmr3d3DGZE3hpmx+4C31bORUkC02HaSsWDljBvLF3zkPj/KmJWqqp9GUXtLBZEt\nWEaimpIEYe8DPkxQnuJzwI3A31SzUTJXoS6yvhV9ZA9mZzJh0wenmdg3wfJnLmfD+Rvq1VyRhubu\nB4C35tm+H1B6Oa0KLbYNhYOtYl1rSbrd8h0TBSmTk0Fl/Q0boLMB/rOpZhC5kEkSTa5oEGZmTwX+\n2t0/SBCISR0U6yJrX9RO76m9jE2O0XtqL8e2Hdv0RVRFpMUk+RIvFkQUCqiKda3l7st3jmLPX7Nm\ndmmjGxqoV6IamS6NIyuoaBDm7k+Y2atq1RjJr1AXWZQh27J/C+N7xskeyNK+uL0OLWxchbp6RSRF\nSn2J5+sWjO/LZmFgIH9R0UJBQe558gVcxQKWDRvm3rcyjSMrKEl35E4zGwP+E8hGG939K1VrlZQM\nDjLTGbIHsgycM0Dvqb2sWrqK7MGs6liVKR7Ibrx4owIxkTQq9SVeqltxaAiGh4Ogaf362TpeUHwQ\nelySDFE8GOzsbKwMWDVpHFlBSYKwpwMPAK+ObXNAQViVZKYzrL52NeN7glR2oSzY0LYhhruG6ezo\nZG3HWjLTGdoXtWtmX0KZ6QzZg1m6lnUxvmec0Z2jCl5F0iTfUkH59vf0BI+TlKqIiopOT8P27bNl\nJZIGCcW6Rlut2y3+XoDGfc1HkmJi9b61WrHWaNmg7s90FywMqsKhhSV5b6ayU979mW5nEB/4nwG9\nlylEnZYtqvSt1T6/KqpUwdV8+5MWac0tyFqsCGl8X7Hzt1oh0/h7sZDiuE0o6edXyUyYmT0deCfw\nQoKsWBS8vaNqkWGLiw/E72jrmOma7OnsYWxyrKkzXQsdo5UkiwhBJnF8zzjdy7vpP6Nf3ZAiaVSq\nGzLf/txthTJXPT1BQdYNG2a7KZPMlNT4plnF3n9JplSURjAW7CPATwgW794M/L8kEV6lbq3+SzKe\nGYsW1k66MHejWejrSpJFdFcmsRGgTJhUQr4MzdRUkAGLb0+aCSv3WtKSkn5+JRkTttzdf9/MLvJg\nMe/PAd+oUkwoeUSZr57OHlYtXTUnE9ZsWbGFVqzPzSLmoxmRIg2iEvWl8mVrRkeD8hHd3bPbiw0e\nTzqwPDpXT0/ygrHS0hItWxTeP2xmpwI/B46rXpMkLjdgWNsx+0GQdBB5IwUdC61Yn+T5I7eNMLR1\niOzBLIOrBud9LRGpsqRL6RQTDc7PHayfzZZ+blyhgDDfRIDVq2drhLXCAH2Zt6ckOOYqMzsauAIY\nA+4E/q6qrZIZI7eNsG5iHb1f7iUznZmzLzOdYf329YdszxWVYRjdOVrNpqZK0ffGc+5FJJ36+oLS\nEhAEY6Pz/AyLgrno+R0dQVA3NJT8nLnnyLc9k5kNwOJZNpECSmbC3P0/wj+3AidVtzlyiDBQmNg7\ncUgJhULLGeVqxUWp4+9N34q+ORMbel/US/tilfIQSb1SS+kU666Ml6+IF2uNxLsOBweDkhVtbdDb\nC2Njh56z0ID8aIB/T8/cbs6NG9UVKSUlmR15DDAIvJIgJPgG8BF3f6C6TROA/jP6gz/s0CAqaXDV\niotSx9+bkVtHGNo2xOafbJ5Z4LzV3g+RhlZoTFahulyZTBBMTUzA5s3BfVSsNfecucVbb789f1di\noTaMjQXHr1o1N1BTACYJJBkT9nlgG/Cm8PGlwBeArmo1SmZ1tHUweO5gwX0KJvKb895YcLfi+BWc\nd/J5yoCJNItobFc2GwReUeAzOjpbhHXFCjjvvOJlLqLirVEmLB5QQfGipLmBV7OOAdMi3FWRJAh7\nlrt/JPb4b8zsD6rVIJFK6z+9f2YlgWhiQiNNVhCRAqKxXevWBffxhbWjgff9/cWDho6OoDsykskz\njjSecYNkVfGbLWhptdUAaiRJELbZzN4CfDF8fAlwY/Wa1LoUGFRHvoxh0vF0IpJyhYqzlgq+ChkZ\nCbons9nZ4KxYUdJCwUm0fcuW9I8PSzq2DjTZoNJKFRIDfgU8CTwe3p4Mt/0K+GWSYmQLvbVKscNm\nLcCaRirWmn6oWKu4zy2Uunt3UGR19+7Cx5cqmJpbeDX+eGrKvasreP7AQPnty92eWxA2rYq9ZypA\nOy9JP7+SzI58RtUiQJmjFWcxJjXfLGGh52k8nUiDiGeatmyZHTR/ww35jy+1rFBupiu3q3FiIpjd\n2N+frH3xcWC5GaWNG+eOJUurYu9ZWpdpapLu3iTdkZjZG4FXEc6OdPfrqtqqFnJIMVYFBnnNt/tQ\n3Y4iDSpfN1j094YNhZ9X7uD4eKmKTZuC57a1za/NuWtMNkqQUInVAqC2gVGTjFFLUqLiX4DlwKZw\n07vN7DXu/t6qtqxFKEhIZr5ZQmUXRRpUvi/Zjo7CGbDJSVizJgjQOjvn7osHB/39c2uO5Zaq6O4O\nsm3xgf5JxbNGTRIklKWWrzmtGboyJcmEvRp4QdjHiZltBH5Y1Va1EAUJycw3S6jsokiDKvdLds2a\nwl2VSZY/imfEVq3Kv/5jJhN0Z8Lcgf/xIC8+Q7Oc9jeDpK+5EhmzJikHkiQI2wMsAe4KH58QbpMK\nyBckaJakiLS8cr9koy7KK644NHiKgoKpqdnxYP39cwOB+PWizFhu4DY6OlvYNcqUxZcqip7bqpL+\nmxXLmDXJWK+kkgRhzwD+18xuIxgTdjqww8zGANy9p4rtq4m0BT1p7aJM0/uUpraISA0UykJFjjkm\nyGB97WuzgVJf39znRH9D6a6zfIFbb29QgX/FitlMWTZ76FqRzRqYVSpAKpYxK7YKQhMGZ0mCsL+q\neivqLG1BT1q7KNP0PqWpLSJSA/myULn7160L1ogcGAiCo2gmZNzAwNyZj4W6zqKsTryQ69hYMHvy\nvPOCQfxDQ8Exw8Oz5ykUmDWDcsZ8FQuaimXMCgVoTTrGLkmJiq3xx2b2KqC3mQbm1zPoyZfRSes4\npjQFh2lqi4jUQLwKfrFSCj09s+PDooAsMjQ0dw3JUl1hUfX8fIFblFVra5s9T9SFOTAwG5g1Udam\nrHFu8w2aCgVozTrGLkkxMWAFsB7YD9wM9Cd4ztXA/cCunO3vA3YTDO4fTnL9Zit2GC8UGhVoHbh5\noObFQ0sVLK1kQVMVR5VyoWKtkkRusdSouGh399wCqlNTQQHWgYH8hVrd3deuDZ67dm3xc+V7rnuy\nYrJpV6j4bLnHl3ueJpP086tgJszMTgF6w1uGYNFuc/dzE8Z31wAjwKdi5zwXuAh4ibs/ZmbHJTxX\nU4iyXtmDWYa2BinyKJOTPZCtefdaqS69Snb5qftQRKoiN+MSz4jldofdfvvc8hO5z925M/g7uu/r\nmy0QOzo6N0OTL2MzNhYcu2pV43aZlZvBKnR8k8xerLpC0RnB8kRbgeWxbXuTRHax45cSy4QRrD/Z\nVc45POW/JMvJ8Mxkvf7n0KxXPTJFyoRJmqFMmERylxYqtOxQXO5yO9Hjrq4g0zUw4H7LLXMzV/FM\nVvT3Lbckz+g0Q/YnXzYvel27dx/6+ur1mlP+Xif9/CoWQL0B+DxwD/AJ4PeAfUlOGjtHbhB2BzAE\n3BoGeKclOU+aP8TKWe8xTYFImtoiko+CMJkRD6iSrg2ZGzBE26Mux6ibsdC5on3d3YeeN7dbM/f6\nAwPBdaJgL6WBwiEKrXcZ75ZNyzqSKV/TMunnV8HuSA+WJrrOzNoJuhD/DDjOzP4VuNbdN88j8XYY\n8EzgFcBpwBfN7KSwwXOY2eXA5QBLliyZx6Vqo5wB4tGA+8x0hvXb1ycur1CNcgzqHhSRhpE7KDub\nDW6ZzKED30t1j0WzHbu6gtpiq1blH+wd1R2L7qPzxtevjNcKi5e/yJ2RCXNnWabV6Gj+WZ25hWzT\nMDi+WQbqJ4nUohtwNEFg9PWExy9lbibsa8C5scc/AY4tdZ5m+CWZbzB+kuyZe3nZtvm0p1aUfZNy\noExYayvW3VQsC1Ks67LUeZO0J18mLGpPvLtz7Vr3s88Otg0MlHetekl5F18jSfr5lWgB71jA9hBw\nVXibj+uAc4Gbw4H/iwkG/Te9eOap3PIK1SjHUI8yGMq+iUhixQaIx7MguWUl4gPCo5IR0bG5Swvl\nSlIQ9JhjDs1qReUztm+frSPW1xeUqVi8OCjy2gg0mL72kkRq87kRLPj9M+AgcC/wToKg6zPALuC7\nwKuTnKsZfknuntrt3Z/p9t1TDTx1eYGUCZNyoExYa0ualSmWFYsPMi9WbiL3XPmOSTIGKd7meHYs\npeOWqkLZNHevUiaszOCuUOj/1mpdM83GJscY3zPOqqWrWNvRmr800lqEVkRSqKMjGIO0enUwLquz\nc+7+KGvVE66cFx8bFO2LKtdHC3JffXX+chORYiUpcrNvIyMwPR1sa2ubXUopvoB3seKyjaScJYOa\ntLJ9tVQtCJNZmekM2YNZBs4eUIV3EZGkosr3ADfcMHdftCRRvsW440sYRZXrR0dh9+5gQP7UVNCl\nmLsGZUcHbNw4e664jo7Z80xNBV2dcfGllKKgJd8al42onMCqWQbM14iCsBoY3TnK0NYhhruGAcqa\nGSki0nKiIOaKK4LH0QzFQuIB2eDg3Nl8mzYF+6NxWdns7OzF228Pzj02Nvuc+CzHqC0jI8H9jTfC\nnj1wxBHBvuOPhze9aTZAi9odBWlRexpdOYFVrceVNfjC3grCaiA+sD53gH6lS0+UMp9yF5UskVGN\nchsilWRmXwCivq+jgIfd/aXhvg8RjG99AvgTd7+xPq1sclHmZXj40AxY9KXb2xtkn+LrOE5PzwY9\nUXYsvuh3dOw73gHXXx9k2fbuDTJk69fDm98MV145e63BwbnniM7zy18Gf//858EXf3TNaCJAV1eF\n35A6S/OA/Qbv/lQQViW5wUY0FqpQQJaWpYoq9ZxanEukGtz9D6K/zezjwCPh378DvAV4IfBsYMLM\nTnH3J+rS0GZWLPMSr9e1cWMQIPT3B8FRvixXfFxWFFAtXw4PPBDMdNy9GxYtCrJXX/1qsG/PnmCm\n47e/DZs3w3vfG5xjchI+8AH467+GO++ERx4JAr/4+LTdu+Haa+HSS2eDwmbplkyjRu/+TDJ6v963\nRpxdNHDzwMzC3IU0Sq0uLV8k9UCdZ0cCRrBiyPPCxx8CPhTbfyNwZqnzNOLnVyoUWxi6UOX2qFp9\nV5fP1OfKVzX/ve8N9j/nOe4nnTQ7i3HlyuD++c8P7p/5zOD+zDMPrQ02MOBz6oJFfx91VPD34Yc3\nx+zIWs12bLJZlUk/v5QJqxbPuc+jlrMF45m5cq9ZyXZqhqQ0kLOAX7j7j8PHzwG+Hdt/b7hNqqFY\n5fuNG4Nuxdyq+VHXYHx2ZPwc0ditkZHZjBfM/n3GGXDccfC+98H73x9ktSDodoxn2DZuDLJb0YLg\nBw8G+yYmgnFiAKecAm94Q/B3o2ZpoHbdfQ3erThfCsIqJLf7sf+MftoXt890P9Z7LJS6AUVmmdkE\ncHyeXR929+vDv3sJ6h3O5/wNsexaqvX0BF2OUQkKmDsIu709+NKOz0qEoMtwzZrZwfy33x6cIx6Y\nDQ3NdjGef34QdI2NBfuuvBJ+9KMgKPvd3w3KT3zgA/Dxj8OBA3PLV0QzKaemYOvW4HyvfjXcdBN8\n7GNwwQU1eauqqlbdfY3erThPCsIqJApytuzfwsaLNx6S8almEJQkwKtG1X2RRuXuRUdOm9lhwBuB\nl8c23wecEHv83HBbvvPPrCyycuXKIvlwKWhsbLbGVxRkxbMlhb6042UtVq2aHXz/+tcHA+ejshXZ\nbBBoXX55UINs7doggPvCF2YzYK95TZBZW78+yHINDMC5587NwEVrR7a1Bc/Zvj0Iyt7/fli5svHH\ngtVqUH6aB/9XkYKwCulb0ceW/VsY3zPO6M7RQwKtagZBSQI8dQOKlKUL2O3u98a2jQGfM7MNBAPz\nnwfcVo/GtYR8QVa89EShsgS5C2+vXx8EVY8/HgRR0SD5TGZ2xmSUPVu2LDj2Wc8KBtXfc09w3Fln\nwfOfH2S2vvGN2UCwvT1oy9jY7HknJ+G1rw3Oc8kl8KUv1S8Qa/DyDS0hycCxet8aZWBrvQadR9fd\nPbVbg96laVDHgfnANcC782z/MPATYBJ4bZJzNcrnV0OJD4rPN5A7GuQdDZg/+ujZgfrxAeDRskbR\nQttLlswOpo9ua9fOTgSIljMaHp5tQ+4+99mJAfVevDvJUktSFUk/v5QJq4CFDHqvlOzBLP3j/Uzs\nmwA07ktkIdz97QW2fxT4aG1bIwVNTATLGkWlKiJRt2VUr+sFL4BvfSvIDK1ePdtduXlzcI7TTgsy\nXU97Gtx9NzzjGfCrXwXHXHstfPrTwd/xorFRnbJozFp8rNjICFx44ezA/3xqkaVq0XFWjURBWAXU\ne9B7VJEfoHt5t8Z9iUhz6+8P7rdvL77OY9RVODUVBGGTk0HQ1d0dHDM1FTxuawsG8J9zTvC8yy4L\ntl17bRBIfeMbs0Vjo4KsMHvN3KWOOjvhllvyL38UqcVswBYdZ9VILMiapdvKlSt9x44d9W5GQaUG\nxld7ZmRmOsPIbSPg0H9GvyrRS1Mws++4+8p6t2Oh0v751dCSZpPixVSjJYqicWHx7YX2x89fqQyW\nxms1taSfXwrCamD99vWsm1jHcNewuglFElIQJlIFCv5qIunn11Nq0ZhW17eij+Gu4bK7CTPTGdZv\nX09mOpP3sYiISFmibtDR0eBxJhN0sWb0vVIPCsJqICoPUW43YTTWbHTnaN7HaaHgUERkHmoRAOVe\no68vqJMWjVXLDcqkpjQwP8Vya4v1regjezBL9kCWzHQmNWO/6j0xQUSkIZUanF+JrsPca+QO1tcM\nyrpSEJZiuQVWO9o6aOSrsfMAABIYSURBVF/UzrqJdbQvbk9NwKNq/CIi81AqAFroDMpMJqjuPzBQ\n+BqaQVlXCsLqoJzZkrnHpjHgUTV+EZF5KBUALTRLNToarJM5PKxB+CmlICyBSpeYKKf7LvdYBTwi\nIi1ioVkqdTWmnoKwBCo95qlUNise9KUx8yUiIjU037Fh6mpMPQVhCVQ6ECqVzcoN+pT5EhFpYbWo\nri91oSCM0t2Nte4CTGv2q9qV/0VEJI+FdiuqQGtqqU4Y6au/Nd+6YtUQrwGWtvdJRKThzKc2WNSt\nuNAyFaoFljrKhJHezFM95Ga74l2jep9ERBaoHl2LGqCfWgrCKN3d2ErdcLnj0eKBl2ZmiogsUD0C\nIg3QTy0FYQXEA69qV4RPU5CXm+1S4CUiUkEKiCRGQVgBteyGy71WPQMyBV0iIk1GA/NTS0FYAbXs\nhotfS+swiohIRanERWopCCN/d2AtM0Lxa6Vl8HuaukhFRGQBNDA/tVSignSVqKhWeYp4qYkk0vSe\niIg0hPmUn5CWpkwY6ck+VVO53Zyt8J6IiFRUWrv90touqV4QZmZXAxcC97v7qeG2LwCd4SFHAQ+7\n+0ur1YakmnkwetSt2NPZAyQPqpr5PRERqYq0dvultV1S1e7Ia4AL4hvc/Q/c/aVh4PVl4CtVvL4w\nmwEbmxybCarK6ZYUEZGEFlrZvlrS2i6pXibM3beZ2dJ8+8zMgDcDr67W9SWQ262o2ZciIiLpUK8x\nYWcBv3D3H9fp+qlTrdmIud2KGuslIiKSDvWaHdkLbCp2gJldbmY7zGzH1NRUjZpVP7WajZimxcFF\nRJpWsZmSmkUpoZpnwszsMOCNwMuLHefuVwFXAaxcudJr0LS6UoZKRKSJFJuRqNmKEqpHd2QXsNvd\n763DtVNLsxFFRJpIsRmJmq0ooap1R5rZJuAWoNPM7jWzd4a73kKJrkgREZGGE+9mLDYjsVazFdXt\nmXrVnB3ZW2D726t1TRERkbpJWzdj2tojh1DFfJlDa0aKiMxT2roZ09YeOYTWjpQ5tGakiMg8pa0o\narntUfdlzSkIq5FyF9Cul74VfQx3DWuWpohILaUhAIq6L0f1I7xWFITVSL4MUxoDM9URExGpg0oG\nQPMN6Pr6YHhY3Zc1pDFhNZKvDpiWEBIRESDZ+K1MJgjS+vqKdzHOd0B+1H0pNaMgrEby1QFTgVaR\n9DGzLwCd4cOjgIfd/aVmdgzwJeA04Bp3769XG6UJJQmAkgZXGpDfMBSE1ZEKtIqkj7v/QfS3mX0c\neCR8+BvgCuDU8CZSW0mDK2W0GobGhDWgaCzZZGYydWPKRJqFmRnwZsLi0u6edfdvEgRjIrWXttmX\nsmDKhDWgaCzZlv1bGN8zDmhMmUgVnAX8wt1/XO+GiEhzUhDWgKIxZD2dPaxaukpjykTKZGYTwPF5\ndn3Y3a8P/+5lnkusmdnlwOUAS5YsmVcbRaT5KQhrQPGxZH1tfapwL1Imd+8qtt/MDgPeCLx8nue/\nCrgKYOXKlT6fc4hI89OYsAanCvciVdEF7Hb3e+vdEBFpXsqENTiVuRCpireQpyvSzPYDRwCLzewN\nwHnufmeN2yYiTUKZsAYVzZAEVOFepMLc/e3u/m95ti9192e6+2+5+3MVgEldpGGJI6kIBWENauTW\nEdZNrGPk1pF6N0VERGpJazw2DXVHNirLuRcRkdagivhNQ0FYg+o/vZ/2Re0aCyYi0mpUEb9pKAhr\nUFrySEREpLFpTFiOaMC7lgISERGRalIQlkN1t0RERKQW1B2ZQ3W3REREpBaUCcsRjbVS3S0REWk5\nqkFWUwrCREREJKAaZDWl7kgREREJqAZZTSkIExERkYBqkNVUU3VHqryEiIg0NI3JailNFYSpvISI\niDQ0jclqKU3VHanyEiIi0tA0JqulNFUQpqV8RESkoWlMVktpqu5IERERkUahIExERESkDhSEiYiI\niNRB1YIwM7vazO43s12xbS81s2+b2R1mtsPMTq/W9UVERETSrJqZsGuAC3K2DQND7v5S4K/CxyIi\nIiItp2pBmLtvAx7M3QwcEf59JPDTal1fREREJM1qXaLiz4AbzezvCQLA363x9UVERERSodYD898D\nvN/dTwDeD3yy0IFmdnk4bmzH1NRUzRooIiIiUgu1DsJWA18J//5PoODAfHe/yt1XuvvKY489tiaN\nExEREamVWgdhPwXOCf9+NfDjGl9fREREJBXM3atzYrNNwCqgA/gFMABMAv+PYCzab4A/dvfvJDjX\nFHBXmU3oAJphGXq9jvRohtcAjfM6TnT3hk+Dz/Pzqxxp+vdMU1tA7SlF7SlsoW1J9PlVtSCs3sxs\nh7uvrHc7FkqvIz2a4TVA87wOCaTp3zNNbQG1pxS1p7BatUUV80VERETqQEGYiIiISB00cxB2Vb0b\nUCF6HenRDK8Bmud1SCBN/55paguoPaWoPYXVpC1NOyZMREREJM2aORMmIiIiklpNE4SZ2TPN7CYz\n+3F4f3SB454wszvC21it21mImV1gZpNmtsfM/jzP/qeZ2RfC/bea2dLat7K4BK/h7WY2FXv//6ge\n7SzFzK42s/vNbFeB/WZm/xS+zu+b2ctq3cZSEryGVWb2SOzf4q9q3UYpzsz+1Mx2mdkPzezPwm1J\nP+dWh8f82MxWV6g97w/bssvMNpnZ083sG7H/hn5qZtcVeG7FP3cLtOcaM9sXu9ZLCzy3Vu/PZ8PP\nxF3h/5OLCjy3ou9PgbYsC7879oTfJYsLPPdD4TGTZnZ+BdrSGXttd5jZL83sz8I2RNv2m9kdBZ6/\n38x+EB63o4rtGTSz+2Lbuws8v+j3XNncvSluwDDw5+Hffw78XYHjfl3vtuZp01OBnwAnAYuB7wG/\nk3PMHwP/Fv79FuAL9W73PF7D24GRerc1wWs5G3gZsKvA/m7gvwEDXgHcWu82z+M1rAK+Wu926lbw\n3+9UYBfQRlBXcQJYnuRzDngmsDe8Pzr8++gFtuc5wD7g8PDxF4G35xzzZeCyAs+v6OduofYA1wCX\nlHhuzd6f8LPCwtsm4D3Vfn+KtOWLwFvCbf+Wry3A74Sf3U8DloWf6U+tYNueCvycoIZWfPvHgb8q\n8Jz9QEcl//vJ1x5gEPhgguOLfs+Ve2uaTBhwEbAx/Hsj8IY6tqVcpwN73H2vux8APk/weuLir+9L\nwO+ZmdWwjaUkeQ0Nwd23AQ8WOeQi4FMe+DZwlJk9qzatSybBa5B0ewFBcD/t7o8DW4E3kuxz7nzg\nJnd/0N0fAm4CLqhAmw4DDjezwwiCw59GO8zsCIJVUPJmwqqkYHtKqNn74+7j4eeEA7cBz63AdebT\nlp8R/Pt8Kdxf6L+di4DPu/tj7r4P2EOR5QXn4feAn7j7TPHi8HvszQRBaq0d0p4SKv4910xB2G+7\n+8/Cv38O/HaB455uwcLg3zaztARqzwHuiT2+N9yW95jwQ/kR4JiatC6ZJK8B4E1hF96XzOyE2jSt\n4pK+1rQ708y+Z2b/bWYvrHdjZI5dwFlmdoyZtRFkVE4g2edcxf/7dPf7gL8H7ib4Qn/E3TfHDnkD\n8HV3/2WBU1T0c7dEez4afsb8g5k9Lc/Ta/7+hN2QbwO+VuAUFXt/8rUF+A7wcPjdAYVfc7U/297C\nocHWWcAv3L3QMoYObDaz75jZ5RVsS7729If/7VxdoKu/4u9PQwVhZjYR9nHn3uZEouGvjkLTPk/0\noAruHwL/aGYnV7vdMuO/gKXu/mKCX58bSxwv1fNdgv8XXgL8M7XNYEgJ7v6/wN8Bmwm+uO8Ansg5\nptjnXEWFX0gXEXRRPRtoN7O3xg7ppXgmo6Kfu0Xa8yHg+cBpBN2N/3ch16lAeyL/Amxz928UOEXF\n3p98baEymb4F+f/bu98YuaoyjuPfn61YaeWPgoAxWgtFIooK1FQWK003hZLSxIpWYhSRxGDkFRpf\nWIOhb4wSX4omgFYlraQqoaFNAG2LhNBoXVpW+geqIoFAWxuCKQFS6eOL89w6O53Z2e3Mzt26v08y\n2Ttn7rnz3DOz556559x7cgzaMmBd00udvjuXR8TFwBLgG5IWTFA8PwHOBT5Gabz+qBfv08kJ1QiL\niMGI+HCLx/3AvqpLKP/ub7ONF/Lv34EtwMf7FP5oXqD8yq28N9NarpOnmE8FDvYlurHpuA8RcTAi\n3sindwGX9Cm2XhvL5zWpRcS/I+JQLm8E3irpjJrDsgYRcXdEXBIRC4CXgacZWz03Ed/PQeAfEXEg\nIg4DvwMuyzjOoHTTbBhlX3pd77aMJyJezN6/N4Cf07orrd/l8z3gTOCWdpl7XD6tYhmgDJuYnuu0\n2+eJrNuWAEMRsa9KyHiWA/e2y9RQNvuB++hd9+iIeCJiX0S8GRFHgDvbvE/Py+eEaoR1sB6ornK5\nHri/eQVJp1enp7PiGAB29i3C9v4MzM2rV06inCJtvkKmcf+uBTblL+HJouM+NI2bWgbs6mN8vbQe\n+LKK+ZSuhxc7ZZpMJJ1djSmU9AlKXTCZGvVTnqR359/3UQ5UaxhDPQc8CCzO+u50YHGmdeM5YL6k\nk/N7s4j//f9eS7nI4/U2+zER9W7LeBoaqKJ0kba6Orhv5aNyBfiVwHV5cD/GBJRPq1h2ApspnxW0\n/+6sB76gcjX+B4C5lLFsvdDqjNcgsDsinm+VQdJMSe+olimfVcsrvruNp+n49Jk27zOWY/X4dDOq\nfzI9KOOj/gA8Q7mS6J2ZfilwVy5fBgxTrmgYBm6sO+6G+K+m/NL9G7Ay01YBy3J5BuW06V7KP8Wc\numM+jn34PvBUlv9m4IK6Y26zH2spp6MPU/r8bwRuAm7K1wX8OPdzGLi07piPYx9ubvgstlLOItQe\ntx8jPsNHKQfPHcCiTOtYz+Xzr2ZdsRe4oUfx3AbsphycfgW8LdO3AFc1rTvh9W6reIBN+R5/Be4B\nZtVZPsB/sp7Yno9b+1E+bWKZk8eOvZRjSfX5LQNWNeRdmTHvAZb0qGxmUn7kndqUvrqqkxrS3gNs\nzOU5WS47sr5aOVHxZDkNA09SGlbnNMeTz485znXz8B3zzczMzGrw/9QdaWZmZnbCcCPMzMzMrAZu\nhJmZmZnVwI0wMzMzsxq4EWZmZmZWAzfC7LhIOtRl/t9ImpPLz0oazukiHpJ09ji3tUrS4DjWv0LS\nA7m8VNKq8UVvZmbWPTfCrO9ynsJpUe4OXVkYZTqjbcB3xrGtaRFxa0T8/jjD2QBck/PzmZn1RN7M\n2cdYG5W/INaVrGhuzzk8hyWtyPS3SLpD0m5JD0vaKKm6W/MXaX23ZoA/AuflNhZLelzSkKR1kmZl\n+rOSfiBpCPicpNXVtiUtkvRExvKzhjtRX5WxDFHuPg4cnX9vC7C054VjZlOKpNmS9kj6JeVGqXer\nTMz9lKTb6o7PJh83wqxbyykTnn6UMgXF7Tn9w3JgNvAh4EvAJxvyDAB/abO9pcBwTt/xXWAwyuSt\n2xg599rBiLg4In5dJUiaQbkD84qI+AgwHfh6pt8JXEOZr7K5u3Mb8Knx7baZWUtzgTsi4kLgm1Em\n5r4I+LSki+oNzSYbN8KsW5cDa6NMfLoPeASYl+nrIuJIRLxEmaaocg5woGk7myVtB06hTG80n9KA\neyzTrwfe37B+qwlfP0iZuPbpfP4LYAFwQaY/k2e+7mnKt58yNYWZWbf+GRFbc/nzefb9CeBCSp1m\ndtT0zquY9dxrlLkwGy2MiH9VT3Li2Ycj4ro223i1h/HMyJjMzLr1KkBOgP0tYF5EvCxpNcfWezbF\n+UyYdetRYIWkaZLOpJx5+hPwGPDZHBt2FnBFQ55d5LivUWwFBiRV48NmSjq/Q549wOwqD6Ub9BHK\nRLazJZ2b6c0Nu/Mp4zfMzHrlFEqD7JWsA5fUHI9NQm6EWbfuo8w6vwPYBHw7ux9/CzwP7KR0/w0B\nr2SeDYxslB0jIg4AXwHWSnoSeJzSrThanteBG4B1koaBI8BPM/1rwIbsGtjflHVhxmRm1hMRsYPS\nDbkbWEP5YWo2gsoQGbPekzQrIg5Jehfl7NhARLwk6e2UMWIDEfFmzTGeBayJiEV1xmFmZlOPG2E2\nYSRtAU4DTgJ+GBGrG167EtgVEc/VE93ROOYBhyNie51xmJnZ1ONGmJmZmVkNPCbMzMzMrAZuhJmZ\nmZnVwI0wMzMzsxq4EWZmZmZWAzfCzMzMzGrgRpiZmZlZDf4LMsnMhPD88D0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(10, 5))\n",
    "\n",
    "# PL plot\n",
    "ax[0].plot(np.log10(vmc_cepheids_LMC['P']), vmc_cepheids_LMC['m_K'], 'g.', ms=2)\n",
    "ax[0].set_xlabel(\"log(Period)\")\n",
    "ax[0].set_ylabel(\"Apparent magnitude\")\n",
    "ax[0].set_title(\"VMC Cepheids - LMC - PLR\")\n",
    "ax[0].invert_yaxis()\n",
    "\n",
    "# RA/DEC plot\n",
    "ax[1].plot(vmc_cepheids_LMC['ra'], vmc_cepheids_LMC['dec'], 'r.', ms=2)\n",
    "ax[1].set_xlabel(\"ra\")\n",
    "ax[1].set_ylabel(\"dec\")\n",
    "ax[1].set_title(\"ra/dec\")\n",
    "ax[1].invert_xaxis()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>IAU_ID</th>\n",
       "      <th>SOURCEID</th>\n",
       "      <th>VARID</th>\n",
       "      <th>field_ID</th>\n",
       "      <th>CUEVENTID</th>\n",
       "      <th>ra</th>\n",
       "      <th>dec</th>\n",
       "      <th>type</th>\n",
       "      <th>sub_type</th>\n",
       "      <th>P_mode</th>\n",
       "      <th>...</th>\n",
       "      <th>KSNEPOCHS</th>\n",
       "      <th>m_K</th>\n",
       "      <th>m_sigma_K</th>\n",
       "      <th>KSAMPL</th>\n",
       "      <th>KSAMPLERR</th>\n",
       "      <th>NOTES</th>\n",
       "      <th>ORIGVSAREL</th>\n",
       "      <th>ORIGVSASOURCEID</th>\n",
       "      <th>CATALOGUE</th>\n",
       "      <th>EXTERNALID</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>VMC J050511.33-671245.47</td>\n",
       "      <td>5.583558e+11</td>\n",
       "      <td>8367.0</td>\n",
       "      <td>LMC_7_3</td>\n",
       "      <td>871.0</td>\n",
       "      <td>76.297125</td>\n",
       "      <td>-67.212583</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'W  Vir'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>16.0</td>\n",
       "      <td>15.217000</td>\n",
       "      <td>0.0090</td>\n",
       "      <td>0.18</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583511e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-039</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>VMC J050356.30-672724.77</td>\n",
       "      <td>5.583559e+11</td>\n",
       "      <td>8364.0</td>\n",
       "      <td>LMC_7_3</td>\n",
       "      <td>871.0</td>\n",
       "      <td>75.984625</td>\n",
       "      <td>-67.456833</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'RV Tau'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>16.0</td>\n",
       "      <td>12.212000</td>\n",
       "      <td>0.0900</td>\n",
       "      <td>0.34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583512e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-032</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>VMC J050013.00-674243.76</td>\n",
       "      <td>5.583561e+11</td>\n",
       "      <td>8365.0</td>\n",
       "      <td>LMC_7_3</td>\n",
       "      <td>871.0</td>\n",
       "      <td>75.054167</td>\n",
       "      <td>-67.712139</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'pW Vir'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>16.0</td>\n",
       "      <td>14.720000</td>\n",
       "      <td>0.0130</td>\n",
       "      <td>0.34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583514e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-023</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>VMC J045851.29-674423.91</td>\n",
       "      <td>5.583561e+11</td>\n",
       "      <td>8385.0</td>\n",
       "      <td>LMC_7_3</td>\n",
       "      <td>871.0</td>\n",
       "      <td>74.713708</td>\n",
       "      <td>-67.739972</td>\n",
       "      <td>ACEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>16.0</td>\n",
       "      <td>16.575001</td>\n",
       "      <td>0.0140</td>\n",
       "      <td>0.16</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583514e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-ACEP-009</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>VMC J050136.69-675133.10</td>\n",
       "      <td>5.583562e+11</td>\n",
       "      <td>8388.0</td>\n",
       "      <td>LMC_7_3</td>\n",
       "      <td>871.0</td>\n",
       "      <td>75.402875</td>\n",
       "      <td>-67.859194</td>\n",
       "      <td>ACEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>16.0</td>\n",
       "      <td>16.261000</td>\n",
       "      <td>0.0060</td>\n",
       "      <td>0.30</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583515e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-ACEP-016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>VMC J050008.26-675404.25</td>\n",
       "      <td>5.583562e+11</td>\n",
       "      <td>8387.0</td>\n",
       "      <td>LMC_7_3</td>\n",
       "      <td>871.0</td>\n",
       "      <td>75.034417</td>\n",
       "      <td>-67.901194</td>\n",
       "      <td>ACEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>16.0</td>\n",
       "      <td>15.862000</td>\n",
       "      <td>0.0080</td>\n",
       "      <td>0.29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583515e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-ACEP-014</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>VMC J050335.57-681015.14</td>\n",
       "      <td>5.583564e+11</td>\n",
       "      <td>8363.0</td>\n",
       "      <td>LMC_7_3</td>\n",
       "      <td>871.0</td>\n",
       "      <td>75.899250</td>\n",
       "      <td>-68.171167</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'BL Her'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>16.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583517e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-030</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>VMC J050203.13-680930.44</td>\n",
       "      <td>5.583564e+11</td>\n",
       "      <td>8389.0</td>\n",
       "      <td>LMC_7_3</td>\n",
       "      <td>871.0</td>\n",
       "      <td>75.513042</td>\n",
       "      <td>-68.158444</td>\n",
       "      <td>ACEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>16.0</td>\n",
       "      <td>16.809999</td>\n",
       "      <td>0.0150</td>\n",
       "      <td>0.25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583517e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-ACEP-017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>VMC J050738.94-682005.99</td>\n",
       "      <td>5.583564e+11</td>\n",
       "      <td>8362.0</td>\n",
       "      <td>LMC_7_3</td>\n",
       "      <td>871.0</td>\n",
       "      <td>76.912250</td>\n",
       "      <td>-68.334972</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'W  Vir'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>16.0</td>\n",
       "      <td>14.360000</td>\n",
       "      <td>0.0210</td>\n",
       "      <td>0.59</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583517e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-046</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>VMC J045900.10-681401.14</td>\n",
       "      <td>5.583564e+11</td>\n",
       "      <td>8386.0</td>\n",
       "      <td>LMC_7_3</td>\n",
       "      <td>871.0</td>\n",
       "      <td>74.750417</td>\n",
       "      <td>-68.233639</td>\n",
       "      <td>ACEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>16.0</td>\n",
       "      <td>17.225000</td>\n",
       "      <td>0.0150</td>\n",
       "      <td>0.35</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583517e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-ACEP-010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>VMC J050211.55-682015.93</td>\n",
       "      <td>5.583565e+11</td>\n",
       "      <td>8360.0</td>\n",
       "      <td>LMC_7_3</td>\n",
       "      <td>871.0</td>\n",
       "      <td>75.548167</td>\n",
       "      <td>-68.337778</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'W  Vir'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>16.0</td>\n",
       "      <td>14.823000</td>\n",
       "      <td>0.0120</td>\n",
       "      <td>0.37</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583518e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-026</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>VMC J050637.48-682340.27</td>\n",
       "      <td>5.583565e+11</td>\n",
       "      <td>8390.0</td>\n",
       "      <td>LMC_7_3</td>\n",
       "      <td>871.0</td>\n",
       "      <td>76.656208</td>\n",
       "      <td>-68.394528</td>\n",
       "      <td>ACEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>16.0</td>\n",
       "      <td>16.377001</td>\n",
       "      <td>0.0270</td>\n",
       "      <td>0.20</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583518e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-ACEP-021</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>VMC J051133.52-683553.82</td>\n",
       "      <td>5.583545e+11</td>\n",
       "      <td>8318.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>77.889667</td>\n",
       "      <td>-68.598250</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'RV Tau'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>14.208000</td>\n",
       "      <td>0.0140</td>\n",
       "      <td>0.71</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583547e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-058</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>VMC J051355.87-683752.07</td>\n",
       "      <td>5.583545e+11</td>\n",
       "      <td>8317.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>78.482792</td>\n",
       "      <td>-68.631139</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'BL Her'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>16.698000</td>\n",
       "      <td>0.0250</td>\n",
       "      <td>0.45</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583547e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-064</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>VMC J051121.13-684013.25</td>\n",
       "      <td>5.583546e+11</td>\n",
       "      <td>8316.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>77.838042</td>\n",
       "      <td>-68.670361</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'W  Vir'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>14.566000</td>\n",
       "      <td>0.0130</td>\n",
       "      <td>0.78</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583548e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-057</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>VMC J051310.03-684611.81</td>\n",
       "      <td>5.583546e+11</td>\n",
       "      <td>8378.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>78.291750</td>\n",
       "      <td>-68.769972</td>\n",
       "      <td>ACEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>16.399000</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583548e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-ACEP-028</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>VMC J051548.75-684848.12</td>\n",
       "      <td>5.583546e+11</td>\n",
       "      <td>8338.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>78.953125</td>\n",
       "      <td>-68.813361</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'W  Vir'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>15.025000</td>\n",
       "      <td>0.0250</td>\n",
       "      <td>0.21</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583549e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-074</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>VMC J051042.60-684819.61</td>\n",
       "      <td>5.583547e+11</td>\n",
       "      <td>8377.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>77.677583</td>\n",
       "      <td>-68.805444</td>\n",
       "      <td>ACEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>15.932000</td>\n",
       "      <td>0.0110</td>\n",
       "      <td>0.27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583549e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-ACEP-026</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>VMC J050926.15-685005.00</td>\n",
       "      <td>5.583547e+11</td>\n",
       "      <td>8320.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>77.358958</td>\n",
       "      <td>-68.834722</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'RV Tau'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>13.811000</td>\n",
       "      <td>0.0140</td>\n",
       "      <td>0.18</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583549e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-050</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>VMC J050941.93-685124.97</td>\n",
       "      <td>5.583547e+11</td>\n",
       "      <td>8325.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>77.424708</td>\n",
       "      <td>-68.856944</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'RV Tau'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583549e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-051</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>VMC J050752.44-685028.79</td>\n",
       "      <td>5.583547e+11</td>\n",
       "      <td>8376.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>76.968417</td>\n",
       "      <td>-68.841333</td>\n",
       "      <td>ACEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>16.444000</td>\n",
       "      <td>0.0050</td>\n",
       "      <td>0.13</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583549e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-ACEP-023</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>VMC J051508.63-685453.44</td>\n",
       "      <td>5.583547e+11</td>\n",
       "      <td>8307.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>78.785958</td>\n",
       "      <td>-68.914861</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'BL Her'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>17.326000</td>\n",
       "      <td>0.0260</td>\n",
       "      <td>0.38</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583549e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-071</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>VMC J051427.06-685802.05</td>\n",
       "      <td>5.583547e+11</td>\n",
       "      <td>8311.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>78.612708</td>\n",
       "      <td>-68.967222</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'BL Her'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>16.941999</td>\n",
       "      <td>0.0180</td>\n",
       "      <td>0.26</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583550e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-068</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>VMC J051400.76-685756.81</td>\n",
       "      <td>5.583547e+11</td>\n",
       "      <td>8322.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>78.503125</td>\n",
       "      <td>-68.965778</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'RV Tau'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583550e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-065</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>VMC J051556.13-690129.15</td>\n",
       "      <td>5.583548e+11</td>\n",
       "      <td>8379.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>78.983875</td>\n",
       "      <td>-69.024750</td>\n",
       "      <td>ACEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>16.360001</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>0.20</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583550e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-ACEP-032</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>VMC J051845.46-690321.69</td>\n",
       "      <td>5.583548e+11</td>\n",
       "      <td>8323.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>79.689500</td>\n",
       "      <td>-69.056000</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'RV Tau'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>23.0</td>\n",
       "      <td>12.693000</td>\n",
       "      <td>0.0550</td>\n",
       "      <td>0.64</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583550e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-091</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>VMC J051822.20-690338.53</td>\n",
       "      <td>5.583548e+11</td>\n",
       "      <td>8381.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>79.592458</td>\n",
       "      <td>-69.060667</td>\n",
       "      <td>ACEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>17.584999</td>\n",
       "      <td>0.0260</td>\n",
       "      <td>0.17</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583550e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-ACEP-035</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>VMC J051230.41-690716.20</td>\n",
       "      <td>5.583549e+11</td>\n",
       "      <td>8309.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>78.126750</td>\n",
       "      <td>-69.121167</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'BL Her'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>17.458000</td>\n",
       "      <td>0.0310</td>\n",
       "      <td>0.19</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583551e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-061</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>VMC J051512.66-691307.93</td>\n",
       "      <td>5.583549e+11</td>\n",
       "      <td>8313.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>78.802792</td>\n",
       "      <td>-69.218889</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'pW Vir'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>13.892000</td>\n",
       "      <td>0.0070</td>\n",
       "      <td>0.06</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583552e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-201</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>VMC J051418.11-691234.92</td>\n",
       "      <td>5.583550e+11</td>\n",
       "      <td>8327.0</td>\n",
       "      <td>LMC_6_4</td>\n",
       "      <td>871.0</td>\n",
       "      <td>78.575458</td>\n",
       "      <td>-69.209722</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'RV Tau'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>12.263000</td>\n",
       "      <td>0.0520</td>\n",
       "      <td>0.19</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583552e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-067</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>685</th>\n",
       "      <td>VMC J054016.98-700520.56</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8214.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>85.070670</td>\n",
       "      <td>-70.088970</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15.981000</td>\n",
       "      <td>0.0110</td>\n",
       "      <td>0.07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>a</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2857</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>686</th>\n",
       "      <td>VMC J053534.89-700525.09</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8096.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>83.895370</td>\n",
       "      <td>-70.090330</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.134000</td>\n",
       "      <td>0.0090</td>\n",
       "      <td>0.14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>a</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>687</th>\n",
       "      <td>VMC J053625.56-700524.72</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8125.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>84.106500</td>\n",
       "      <td>-70.090190</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.586000</td>\n",
       "      <td>0.0070</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2558</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>688</th>\n",
       "      <td>VMC J053829.96-700526.34</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8176.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>84.624830</td>\n",
       "      <td>-70.090640</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.716000</td>\n",
       "      <td>0.0130</td>\n",
       "      <td>0.22</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2725</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>689</th>\n",
       "      <td>VMC J053919.26-700532.48</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8193.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>84.830250</td>\n",
       "      <td>-70.092360</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.333000</td>\n",
       "      <td>0.0050</td>\n",
       "      <td>0.07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2789</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>690</th>\n",
       "      <td>VMC J053735.45-700555.17</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8154.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>84.397670</td>\n",
       "      <td>-70.098640</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.502000</td>\n",
       "      <td>0.0080</td>\n",
       "      <td>0.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2654</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>691</th>\n",
       "      <td>VMC J053534.23-700558.35</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8095.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>83.892620</td>\n",
       "      <td>-70.099530</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.202000</td>\n",
       "      <td>0.0050</td>\n",
       "      <td>0.17</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2498</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>692</th>\n",
       "      <td>VMC J054215.89-700540.69</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8250.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>85.566170</td>\n",
       "      <td>-70.094640</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>16.610001</td>\n",
       "      <td>0.0190</td>\n",
       "      <td>0.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2977</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>693</th>\n",
       "      <td>VMC J054238.59-700534.46</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8257.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>85.660710</td>\n",
       "      <td>-70.092890</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.456000</td>\n",
       "      <td>0.0040</td>\n",
       "      <td>0.07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2998</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>694</th>\n",
       "      <td>VMC J053514.15-700616.11</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8085.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>83.809040</td>\n",
       "      <td>-70.104470</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.521000</td>\n",
       "      <td>0.0120</td>\n",
       "      <td>0.29</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2472</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>695</th>\n",
       "      <td>VMC J054204.22-700609.72</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8245.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>85.517580</td>\n",
       "      <td>-70.102690</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.558000</td>\n",
       "      <td>0.0150</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2963</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>696</th>\n",
       "      <td>VMC J053739.17-700630.98</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8157.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>84.413210</td>\n",
       "      <td>-70.108580</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12.698000</td>\n",
       "      <td>0.0120</td>\n",
       "      <td>0.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>a</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2669</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>697</th>\n",
       "      <td>VMC J053916.81-700635.95</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8191.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>84.820040</td>\n",
       "      <td>-70.109970</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.868000</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>0.11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2782</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>698</th>\n",
       "      <td>VMC J053840.50-700638.37</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8180.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>84.668790</td>\n",
       "      <td>-70.110640</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.652000</td>\n",
       "      <td>0.0060</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2741</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>699</th>\n",
       "      <td>VMC J053653.67-700624.33</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8135.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>84.223670</td>\n",
       "      <td>-70.106750</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.743000</td>\n",
       "      <td>0.0120</td>\n",
       "      <td>0.22</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2596</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>700</th>\n",
       "      <td>VMC J053621.51-700637.91</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8120.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>84.089620</td>\n",
       "      <td>-70.110530</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.938000</td>\n",
       "      <td>0.0070</td>\n",
       "      <td>0.25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2551</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>701</th>\n",
       "      <td>VMC J053357.94-700645.92</td>\n",
       "      <td>5.583543e+11</td>\n",
       "      <td>8050.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>83.491250</td>\n",
       "      <td>-70.112810</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.943000</td>\n",
       "      <td>0.0370</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2407</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>702</th>\n",
       "      <td>VMC J053249.87-700415.14</td>\n",
       "      <td>5.583544e+11</td>\n",
       "      <td>8019.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>83.207790</td>\n",
       "      <td>-70.070890</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO/SO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15.416000</td>\n",
       "      <td>0.0410</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>a</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583586e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2328</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>703</th>\n",
       "      <td>VMC J053437.57-700108.52</td>\n",
       "      <td>5.583542e+11</td>\n",
       "      <td>8358.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>83.656583</td>\n",
       "      <td>-70.019028</td>\n",
       "      <td>T2CEP</td>\n",
       "      <td>'W  Vir'</td>\n",
       "      <td>NONE</td>\n",
       "      <td>...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>15.080000</td>\n",
       "      <td>0.0040</td>\n",
       "      <td>0.37</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583581e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-T2CEP-152</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>704</th>\n",
       "      <td>VMC J053141.35-695712.31</td>\n",
       "      <td>5.583544e+11</td>\n",
       "      <td>7990.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>82.922250</td>\n",
       "      <td>-69.953420</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.057000</td>\n",
       "      <td>0.0220</td>\n",
       "      <td>0.27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>a</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583585e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2267</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>705</th>\n",
       "      <td>VMC J053311.08-695822.08</td>\n",
       "      <td>5.583544e+11</td>\n",
       "      <td>8025.0</td>\n",
       "      <td>LMC_6_6</td>\n",
       "      <td>871.0</td>\n",
       "      <td>83.296210</td>\n",
       "      <td>-69.972810</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>17.766001</td>\n",
       "      <td>0.0770</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>a</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583587e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-2345</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>706</th>\n",
       "      <td>VMC J055635.79-654742.06</td>\n",
       "      <td>5.583568e+11</td>\n",
       "      <td>8283.0</td>\n",
       "      <td>LMC_8_8</td>\n",
       "      <td>871.0</td>\n",
       "      <td>89.149000</td>\n",
       "      <td>-65.795060</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15.264000</td>\n",
       "      <td>0.0037</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583570e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-4533</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>707</th>\n",
       "      <td>VMC J055711.14-655115.97</td>\n",
       "      <td>5.583568e+11</td>\n",
       "      <td>8285.0</td>\n",
       "      <td>LMC_8_8</td>\n",
       "      <td>871.0</td>\n",
       "      <td>89.296360</td>\n",
       "      <td>-65.854480</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15.284000</td>\n",
       "      <td>0.0040</td>\n",
       "      <td>0.10</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583570e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-4541</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>708</th>\n",
       "      <td>VMC J060141.76-655853.51</td>\n",
       "      <td>5.583569e+11</td>\n",
       "      <td>8391.0</td>\n",
       "      <td>LMC_8_8</td>\n",
       "      <td>871.0</td>\n",
       "      <td>90.424042</td>\n",
       "      <td>-65.981528</td>\n",
       "      <td>ACEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>16.0</td>\n",
       "      <td>16.479000</td>\n",
       "      <td>0.0070</td>\n",
       "      <td>0.25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20130805</td>\n",
       "      <td>5.583494e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-ACEP-129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>709</th>\n",
       "      <td>VMC J055638.36-660302.76</td>\n",
       "      <td>5.583569e+11</td>\n",
       "      <td>8284.0</td>\n",
       "      <td>LMC_8_8</td>\n",
       "      <td>871.0</td>\n",
       "      <td>89.159710</td>\n",
       "      <td>-66.050700</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15.338000</td>\n",
       "      <td>0.0040</td>\n",
       "      <td>0.08</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583571e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-4534</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>710</th>\n",
       "      <td>VMC J055530.30-660557.74</td>\n",
       "      <td>5.583569e+11</td>\n",
       "      <td>8281.0</td>\n",
       "      <td>LMC_8_8</td>\n",
       "      <td>871.0</td>\n",
       "      <td>88.876150</td>\n",
       "      <td>-66.099330</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>F</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.145000</td>\n",
       "      <td>0.0062</td>\n",
       "      <td>0.15</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583571e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-4523</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>711</th>\n",
       "      <td>VMC J055613.40-662233.96</td>\n",
       "      <td>5.583570e+11</td>\n",
       "      <td>8282.0</td>\n",
       "      <td>LMC_8_8</td>\n",
       "      <td>871.0</td>\n",
       "      <td>89.055700</td>\n",
       "      <td>-66.376110</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15.533000</td>\n",
       "      <td>0.0060</td>\n",
       "      <td>0.10</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583572e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-4530</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>712</th>\n",
       "      <td>VMC J060318.83-665244.27</td>\n",
       "      <td>5.583572e+11</td>\n",
       "      <td>8288.0</td>\n",
       "      <td>LMC_8_8</td>\n",
       "      <td>871.0</td>\n",
       "      <td>90.828220</td>\n",
       "      <td>-66.878960</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>13.631000</td>\n",
       "      <td>0.0045</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583575e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-4570</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>713</th>\n",
       "      <td>VMC J055922.16-665709.78</td>\n",
       "      <td>5.583572e+11</td>\n",
       "      <td>8286.0</td>\n",
       "      <td>LMC_8_8</td>\n",
       "      <td>871.0</td>\n",
       "      <td>89.842200</td>\n",
       "      <td>-66.952670</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.788000</td>\n",
       "      <td>0.0032</td>\n",
       "      <td>0.11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583575e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-4554</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>714</th>\n",
       "      <td>VMC J055942.93-670346.85</td>\n",
       "      <td>5.583573e+11</td>\n",
       "      <td>8287.0</td>\n",
       "      <td>LMC_8_8</td>\n",
       "      <td>871.0</td>\n",
       "      <td>89.928890</td>\n",
       "      <td>-67.063000</td>\n",
       "      <td>DCEP</td>\n",
       "      <td>NONE</td>\n",
       "      <td>FO</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>14.515000</td>\n",
       "      <td>0.0023</td>\n",
       "      <td>0.09</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NONE</td>\n",
       "      <td>VMCv20110909</td>\n",
       "      <td>5.583576e+11</td>\n",
       "      <td>OGLE-IV</td>\n",
       "      <td>OGLE-LMC-CEP-4555</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>425 rows × 31 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                       IAU_ID      SOURCEID   VARID field_ID  CUEVENTID  \\\n",
       "2    VMC J050511.33-671245.47  5.583558e+11  8367.0  LMC_7_3      871.0   \n",
       "3    VMC J050356.30-672724.77  5.583559e+11  8364.0  LMC_7_3      871.0   \n",
       "4    VMC J050013.00-674243.76  5.583561e+11  8365.0  LMC_7_3      871.0   \n",
       "5    VMC J045851.29-674423.91  5.583561e+11  8385.0  LMC_7_3      871.0   \n",
       "6    VMC J050136.69-675133.10  5.583562e+11  8388.0  LMC_7_3      871.0   \n",
       "7    VMC J050008.26-675404.25  5.583562e+11  8387.0  LMC_7_3      871.0   \n",
       "8    VMC J050335.57-681015.14  5.583564e+11  8363.0  LMC_7_3      871.0   \n",
       "9    VMC J050203.13-680930.44  5.583564e+11  8389.0  LMC_7_3      871.0   \n",
       "10   VMC J050738.94-682005.99  5.583564e+11  8362.0  LMC_7_3      871.0   \n",
       "11   VMC J045900.10-681401.14  5.583564e+11  8386.0  LMC_7_3      871.0   \n",
       "12   VMC J050211.55-682015.93  5.583565e+11  8360.0  LMC_7_3      871.0   \n",
       "13   VMC J050637.48-682340.27  5.583565e+11  8390.0  LMC_7_3      871.0   \n",
       "14   VMC J051133.52-683553.82  5.583545e+11  8318.0  LMC_6_4      871.0   \n",
       "15   VMC J051355.87-683752.07  5.583545e+11  8317.0  LMC_6_4      871.0   \n",
       "16   VMC J051121.13-684013.25  5.583546e+11  8316.0  LMC_6_4      871.0   \n",
       "17   VMC J051310.03-684611.81  5.583546e+11  8378.0  LMC_6_4      871.0   \n",
       "18   VMC J051548.75-684848.12  5.583546e+11  8338.0  LMC_6_4      871.0   \n",
       "19   VMC J051042.60-684819.61  5.583547e+11  8377.0  LMC_6_4      871.0   \n",
       "20   VMC J050926.15-685005.00  5.583547e+11  8320.0  LMC_6_4      871.0   \n",
       "21   VMC J050941.93-685124.97  5.583547e+11  8325.0  LMC_6_4      871.0   \n",
       "22   VMC J050752.44-685028.79  5.583547e+11  8376.0  LMC_6_4      871.0   \n",
       "23   VMC J051508.63-685453.44  5.583547e+11  8307.0  LMC_6_4      871.0   \n",
       "24   VMC J051427.06-685802.05  5.583547e+11  8311.0  LMC_6_4      871.0   \n",
       "25   VMC J051400.76-685756.81  5.583547e+11  8322.0  LMC_6_4      871.0   \n",
       "26   VMC J051556.13-690129.15  5.583548e+11  8379.0  LMC_6_4      871.0   \n",
       "27   VMC J051845.46-690321.69  5.583548e+11  8323.0  LMC_6_4      871.0   \n",
       "28   VMC J051822.20-690338.53  5.583548e+11  8381.0  LMC_6_4      871.0   \n",
       "29   VMC J051230.41-690716.20  5.583549e+11  8309.0  LMC_6_4      871.0   \n",
       "30   VMC J051512.66-691307.93  5.583549e+11  8313.0  LMC_6_4      871.0   \n",
       "31   VMC J051418.11-691234.92  5.583550e+11  8327.0  LMC_6_4      871.0   \n",
       "..                        ...           ...     ...      ...        ...   \n",
       "685  VMC J054016.98-700520.56  5.583543e+11  8214.0  LMC_6_6      871.0   \n",
       "686  VMC J053534.89-700525.09  5.583543e+11  8096.0  LMC_6_6      871.0   \n",
       "687  VMC J053625.56-700524.72  5.583543e+11  8125.0  LMC_6_6      871.0   \n",
       "688  VMC J053829.96-700526.34  5.583543e+11  8176.0  LMC_6_6      871.0   \n",
       "689  VMC J053919.26-700532.48  5.583543e+11  8193.0  LMC_6_6      871.0   \n",
       "690  VMC J053735.45-700555.17  5.583543e+11  8154.0  LMC_6_6      871.0   \n",
       "691  VMC J053534.23-700558.35  5.583543e+11  8095.0  LMC_6_6      871.0   \n",
       "692  VMC J054215.89-700540.69  5.583543e+11  8250.0  LMC_6_6      871.0   \n",
       "693  VMC J054238.59-700534.46  5.583543e+11  8257.0  LMC_6_6      871.0   \n",
       "694  VMC J053514.15-700616.11  5.583543e+11  8085.0  LMC_6_6      871.0   \n",
       "695  VMC J054204.22-700609.72  5.583543e+11  8245.0  LMC_6_6      871.0   \n",
       "696  VMC J053739.17-700630.98  5.583543e+11  8157.0  LMC_6_6      871.0   \n",
       "697  VMC J053916.81-700635.95  5.583543e+11  8191.0  LMC_6_6      871.0   \n",
       "698  VMC J053840.50-700638.37  5.583543e+11  8180.0  LMC_6_6      871.0   \n",
       "699  VMC J053653.67-700624.33  5.583543e+11  8135.0  LMC_6_6      871.0   \n",
       "700  VMC J053621.51-700637.91  5.583543e+11  8120.0  LMC_6_6      871.0   \n",
       "701  VMC J053357.94-700645.92  5.583543e+11  8050.0  LMC_6_6      871.0   \n",
       "702  VMC J053249.87-700415.14  5.583544e+11  8019.0  LMC_6_6      871.0   \n",
       "703  VMC J053437.57-700108.52  5.583542e+11  8358.0  LMC_6_6      871.0   \n",
       "704  VMC J053141.35-695712.31  5.583544e+11  7990.0  LMC_6_6      871.0   \n",
       "705  VMC J053311.08-695822.08  5.583544e+11  8025.0  LMC_6_6      871.0   \n",
       "706  VMC J055635.79-654742.06  5.583568e+11  8283.0  LMC_8_8      871.0   \n",
       "707  VMC J055711.14-655115.97  5.583568e+11  8285.0  LMC_8_8      871.0   \n",
       "708  VMC J060141.76-655853.51  5.583569e+11  8391.0  LMC_8_8      871.0   \n",
       "709  VMC J055638.36-660302.76  5.583569e+11  8284.0  LMC_8_8      871.0   \n",
       "710  VMC J055530.30-660557.74  5.583569e+11  8281.0  LMC_8_8      871.0   \n",
       "711  VMC J055613.40-662233.96  5.583570e+11  8282.0  LMC_8_8      871.0   \n",
       "712  VMC J060318.83-665244.27  5.583572e+11  8288.0  LMC_8_8      871.0   \n",
       "713  VMC J055922.16-665709.78  5.583572e+11  8286.0  LMC_8_8      871.0   \n",
       "714  VMC J055942.93-670346.85  5.583573e+11  8287.0  LMC_8_8      871.0   \n",
       "\n",
       "            ra        dec   type  sub_type P_mode         ...          \\\n",
       "2    76.297125 -67.212583  T2CEP  'W  Vir'   NONE         ...           \n",
       "3    75.984625 -67.456833  T2CEP  'RV Tau'   NONE         ...           \n",
       "4    75.054167 -67.712139  T2CEP  'pW Vir'   NONE         ...           \n",
       "5    74.713708 -67.739972   ACEP      NONE     FO         ...           \n",
       "6    75.402875 -67.859194   ACEP      NONE      F         ...           \n",
       "7    75.034417 -67.901194   ACEP      NONE      F         ...           \n",
       "8    75.899250 -68.171167  T2CEP  'BL Her'   NONE         ...           \n",
       "9    75.513042 -68.158444   ACEP      NONE      F         ...           \n",
       "10   76.912250 -68.334972  T2CEP  'W  Vir'   NONE         ...           \n",
       "11   74.750417 -68.233639   ACEP      NONE      F         ...           \n",
       "12   75.548167 -68.337778  T2CEP  'W  Vir'   NONE         ...           \n",
       "13   76.656208 -68.394528   ACEP      NONE      F         ...           \n",
       "14   77.889667 -68.598250  T2CEP  'RV Tau'   NONE         ...           \n",
       "15   78.482792 -68.631139  T2CEP  'BL Her'   NONE         ...           \n",
       "16   77.838042 -68.670361  T2CEP  'W  Vir'   NONE         ...           \n",
       "17   78.291750 -68.769972   ACEP      NONE     FO         ...           \n",
       "18   78.953125 -68.813361  T2CEP  'W  Vir'   NONE         ...           \n",
       "19   77.677583 -68.805444   ACEP      NONE      F         ...           \n",
       "20   77.358958 -68.834722  T2CEP  'RV Tau'   NONE         ...           \n",
       "21   77.424708 -68.856944  T2CEP  'RV Tau'   NONE         ...           \n",
       "22   76.968417 -68.841333   ACEP      NONE     FO         ...           \n",
       "23   78.785958 -68.914861  T2CEP  'BL Her'   NONE         ...           \n",
       "24   78.612708 -68.967222  T2CEP  'BL Her'   NONE         ...           \n",
       "25   78.503125 -68.965778  T2CEP  'RV Tau'   NONE         ...           \n",
       "26   78.983875 -69.024750   ACEP      NONE      F         ...           \n",
       "27   79.689500 -69.056000  T2CEP  'RV Tau'   NONE         ...           \n",
       "28   79.592458 -69.060667   ACEP      NONE     FO         ...           \n",
       "29   78.126750 -69.121167  T2CEP  'BL Her'   NONE         ...           \n",
       "30   78.802792 -69.218889  T2CEP  'pW Vir'   NONE         ...           \n",
       "31   78.575458 -69.209722  T2CEP  'RV Tau'   NONE         ...           \n",
       "..         ...        ...    ...       ...    ...         ...           \n",
       "685  85.070670 -70.088970   DCEP      NONE     FO         ...           \n",
       "686  83.895370 -70.090330   DCEP      NONE      F         ...           \n",
       "687  84.106500 -70.090190   DCEP      NONE     FO         ...           \n",
       "688  84.624830 -70.090640   DCEP      NONE      F         ...           \n",
       "689  84.830250 -70.092360   DCEP      NONE     FO         ...           \n",
       "690  84.397670 -70.098640   DCEP      NONE     FO         ...           \n",
       "691  83.892620 -70.099530   DCEP      NONE      F         ...           \n",
       "692  85.566170 -70.094640   DCEP      NONE     FO         ...           \n",
       "693  85.660710 -70.092890   DCEP      NONE     FO         ...           \n",
       "694  83.809040 -70.104470   DCEP      NONE      F         ...           \n",
       "695  85.517580 -70.102690   DCEP      NONE     FO         ...           \n",
       "696  84.413210 -70.108580   DCEP      NONE      F         ...           \n",
       "697  84.820040 -70.109970   DCEP      NONE     FO         ...           \n",
       "698  84.668790 -70.110640   DCEP      NONE     FO         ...           \n",
       "699  84.223670 -70.106750   DCEP      NONE      F         ...           \n",
       "700  84.089620 -70.110530   DCEP      NONE      F         ...           \n",
       "701  83.491250 -70.112810   DCEP      NONE      F         ...           \n",
       "702  83.207790 -70.070890   DCEP      NONE  FO/SO         ...           \n",
       "703  83.656583 -70.019028  T2CEP  'W  Vir'   NONE         ...           \n",
       "704  82.922250 -69.953420   DCEP      NONE      F         ...           \n",
       "705  83.296210 -69.972810   DCEP      NONE     FO         ...           \n",
       "706  89.149000 -65.795060   DCEP      NONE     FO         ...           \n",
       "707  89.296360 -65.854480   DCEP      NONE     FO         ...           \n",
       "708  90.424042 -65.981528   ACEP      NONE      F         ...           \n",
       "709  89.159710 -66.050700   DCEP      NONE     FO         ...           \n",
       "710  88.876150 -66.099330   DCEP      NONE      F         ...           \n",
       "711  89.055700 -66.376110   DCEP      NONE     FO         ...           \n",
       "712  90.828220 -66.878960   DCEP      NONE     FO         ...           \n",
       "713  89.842200 -66.952670   DCEP      NONE     FO         ...           \n",
       "714  89.928890 -67.063000   DCEP      NONE     FO         ...           \n",
       "\n",
       "     KSNEPOCHS        m_K  m_sigma_K  KSAMPL  KSAMPLERR  NOTES    ORIGVSAREL  \\\n",
       "2         16.0  15.217000     0.0090    0.18        NaN   NONE  VMCv20130805   \n",
       "3         16.0  12.212000     0.0900    0.34        NaN   NONE  VMCv20130805   \n",
       "4         16.0  14.720000     0.0130    0.34        NaN   NONE  VMCv20130805   \n",
       "5         16.0  16.575001     0.0140    0.16        NaN   NONE  VMCv20130805   \n",
       "6         16.0  16.261000     0.0060    0.30        NaN   NONE  VMCv20130805   \n",
       "7         16.0  15.862000     0.0080    0.29        NaN   NONE  VMCv20130805   \n",
       "8         16.0        NaN        NaN     NaN        NaN   NONE  VMCv20130805   \n",
       "9         16.0  16.809999     0.0150    0.25        NaN   NONE  VMCv20130805   \n",
       "10        16.0  14.360000     0.0210    0.59        NaN   NONE  VMCv20130805   \n",
       "11        16.0  17.225000     0.0150    0.35        NaN   NONE  VMCv20130805   \n",
       "12        16.0  14.823000     0.0120    0.37        NaN   NONE  VMCv20130805   \n",
       "13        16.0  16.377001     0.0270    0.20        NaN   NONE  VMCv20130805   \n",
       "14        14.0  14.208000     0.0140    0.71        NaN   NONE  VMCv20130805   \n",
       "15        14.0  16.698000     0.0250    0.45        NaN   NONE  VMCv20130805   \n",
       "16        14.0  14.566000     0.0130    0.78        NaN   NONE  VMCv20130805   \n",
       "17        14.0  16.399000     0.0100    0.08        NaN   NONE  VMCv20130805   \n",
       "18        14.0  15.025000     0.0250    0.21        NaN   NONE  VMCv20130805   \n",
       "19        14.0  15.932000     0.0110    0.27        NaN   NONE  VMCv20130805   \n",
       "20        14.0  13.811000     0.0140    0.18        NaN   NONE  VMCv20130805   \n",
       "21        14.0        NaN        NaN     NaN        NaN   NONE  VMCv20130805   \n",
       "22        14.0  16.444000     0.0050    0.13        NaN   NONE  VMCv20130805   \n",
       "23        14.0  17.326000     0.0260    0.38        NaN   NONE  VMCv20130805   \n",
       "24        14.0  16.941999     0.0180    0.26        NaN   NONE  VMCv20130805   \n",
       "25        14.0        NaN        NaN     NaN        NaN   NONE  VMCv20130805   \n",
       "26        14.0  16.360001     0.0100    0.20        NaN   NONE  VMCv20130805   \n",
       "27        23.0  12.693000     0.0550    0.64        NaN   NONE  VMCv20130805   \n",
       "28        14.0  17.584999     0.0260    0.17        NaN   NONE  VMCv20130805   \n",
       "29        14.0  17.458000     0.0310    0.19        NaN   NONE  VMCv20130805   \n",
       "30        14.0  13.892000     0.0070    0.06        NaN   NONE  VMCv20130805   \n",
       "31        14.0  12.263000     0.0520    0.19        NaN   NONE  VMCv20130805   \n",
       "..         ...        ...        ...     ...        ...    ...           ...   \n",
       "685        NaN  15.981000     0.0110    0.07        NaN      a  VMCv20110909   \n",
       "686        NaN  14.134000     0.0090    0.14        NaN      a  VMCv20110909   \n",
       "687        NaN  14.586000     0.0070    0.08        NaN   NONE  VMCv20110909   \n",
       "688        NaN  13.716000     0.0130    0.22        NaN   NONE  VMCv20110909   \n",
       "689        NaN  14.333000     0.0050    0.07        NaN   NONE  VMCv20110909   \n",
       "690        NaN  14.502000     0.0080    0.05        NaN   NONE  VMCv20110909   \n",
       "691        NaN  14.202000     0.0050    0.17        NaN   NONE  VMCv20110909   \n",
       "692        NaN  16.610001     0.0190    0.05        NaN   NONE  VMCv20110909   \n",
       "693        NaN  14.456000     0.0040    0.07        NaN   NONE  VMCv20110909   \n",
       "694        NaN  14.521000     0.0120    0.29        NaN   NONE  VMCv20110909   \n",
       "695        NaN  14.558000     0.0150    0.09        NaN   NONE  VMCv20110909   \n",
       "696        NaN  12.698000     0.0120    0.05        NaN      a  VMCv20110909   \n",
       "697        NaN  14.868000     0.0100    0.11        NaN   NONE  VMCv20110909   \n",
       "698        NaN  14.652000     0.0060    0.08        NaN   NONE  VMCv20110909   \n",
       "699        NaN  13.743000     0.0120    0.22        NaN   NONE  VMCv20110909   \n",
       "700        NaN  13.938000     0.0070    0.25        NaN   NONE  VMCv20110909   \n",
       "701        NaN  13.943000     0.0370    0.09        NaN   NONE  VMCv20110909   \n",
       "702        NaN  15.416000     0.0410    0.08        NaN      a  VMCv20110909   \n",
       "703       14.0  15.080000     0.0040    0.37        NaN   NONE  VMCv20130805   \n",
       "704        NaN  14.057000     0.0220    0.27        NaN      a  VMCv20110909   \n",
       "705        NaN  17.766001     0.0770    0.08        NaN      a  VMCv20110909   \n",
       "706        NaN  15.264000     0.0037    0.09        NaN   NONE  VMCv20110909   \n",
       "707        NaN  15.284000     0.0040    0.10        NaN   NONE  VMCv20110909   \n",
       "708       16.0  16.479000     0.0070    0.25        NaN   NONE  VMCv20130805   \n",
       "709        NaN  15.338000     0.0040    0.08        NaN   NONE  VMCv20110909   \n",
       "710        NaN  14.145000     0.0062    0.15        NaN   NONE  VMCv20110909   \n",
       "711        NaN  15.533000     0.0060    0.10        NaN   NONE  VMCv20110909   \n",
       "712        NaN  13.631000     0.0045    0.09        NaN   NONE  VMCv20110909   \n",
       "713        NaN  14.788000     0.0032    0.11        NaN   NONE  VMCv20110909   \n",
       "714        NaN  14.515000     0.0023    0.09        NaN   NONE  VMCv20110909   \n",
       "\n",
       "     ORIGVSASOURCEID  CATALOGUE          EXTERNALID  \n",
       "2       5.583511e+11    OGLE-IV  OGLE-LMC-T2CEP-039  \n",
       "3       5.583512e+11    OGLE-IV  OGLE-LMC-T2CEP-032  \n",
       "4       5.583514e+11    OGLE-IV  OGLE-LMC-T2CEP-023  \n",
       "5       5.583514e+11    OGLE-IV   OGLE-LMC-ACEP-009  \n",
       "6       5.583515e+11    OGLE-IV   OGLE-LMC-ACEP-016  \n",
       "7       5.583515e+11    OGLE-IV   OGLE-LMC-ACEP-014  \n",
       "8       5.583517e+11    OGLE-IV  OGLE-LMC-T2CEP-030  \n",
       "9       5.583517e+11    OGLE-IV   OGLE-LMC-ACEP-017  \n",
       "10      5.583517e+11    OGLE-IV  OGLE-LMC-T2CEP-046  \n",
       "11      5.583517e+11    OGLE-IV   OGLE-LMC-ACEP-010  \n",
       "12      5.583518e+11    OGLE-IV  OGLE-LMC-T2CEP-026  \n",
       "13      5.583518e+11    OGLE-IV   OGLE-LMC-ACEP-021  \n",
       "14      5.583547e+11    OGLE-IV  OGLE-LMC-T2CEP-058  \n",
       "15      5.583547e+11    OGLE-IV  OGLE-LMC-T2CEP-064  \n",
       "16      5.583548e+11    OGLE-IV  OGLE-LMC-T2CEP-057  \n",
       "17      5.583548e+11    OGLE-IV   OGLE-LMC-ACEP-028  \n",
       "18      5.583549e+11    OGLE-IV  OGLE-LMC-T2CEP-074  \n",
       "19      5.583549e+11    OGLE-IV   OGLE-LMC-ACEP-026  \n",
       "20      5.583549e+11    OGLE-IV  OGLE-LMC-T2CEP-050  \n",
       "21      5.583549e+11    OGLE-IV  OGLE-LMC-T2CEP-051  \n",
       "22      5.583549e+11    OGLE-IV   OGLE-LMC-ACEP-023  \n",
       "23      5.583549e+11    OGLE-IV  OGLE-LMC-T2CEP-071  \n",
       "24      5.583550e+11    OGLE-IV  OGLE-LMC-T2CEP-068  \n",
       "25      5.583550e+11    OGLE-IV  OGLE-LMC-T2CEP-065  \n",
       "26      5.583550e+11    OGLE-IV   OGLE-LMC-ACEP-032  \n",
       "27      5.583550e+11    OGLE-IV  OGLE-LMC-T2CEP-091  \n",
       "28      5.583550e+11    OGLE-IV   OGLE-LMC-ACEP-035  \n",
       "29      5.583551e+11    OGLE-IV  OGLE-LMC-T2CEP-061  \n",
       "30      5.583552e+11    OGLE-IV  OGLE-LMC-T2CEP-201  \n",
       "31      5.583552e+11    OGLE-IV  OGLE-LMC-T2CEP-067  \n",
       "..               ...        ...                 ...  \n",
       "685     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2857  \n",
       "686     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2500  \n",
       "687     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2558  \n",
       "688     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2725  \n",
       "689     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2789  \n",
       "690     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2654  \n",
       "691     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2498  \n",
       "692     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2977  \n",
       "693     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2998  \n",
       "694     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2472  \n",
       "695     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2963  \n",
       "696     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2669  \n",
       "697     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2782  \n",
       "698     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2741  \n",
       "699     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2596  \n",
       "700     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2551  \n",
       "701     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2407  \n",
       "702     5.583586e+11    OGLE-IV   OGLE-LMC-CEP-2328  \n",
       "703     5.583581e+11    OGLE-IV  OGLE-LMC-T2CEP-152  \n",
       "704     5.583585e+11    OGLE-IV   OGLE-LMC-CEP-2267  \n",
       "705     5.583587e+11    OGLE-IV   OGLE-LMC-CEP-2345  \n",
       "706     5.583570e+11    OGLE-IV   OGLE-LMC-CEP-4533  \n",
       "707     5.583570e+11    OGLE-IV   OGLE-LMC-CEP-4541  \n",
       "708     5.583494e+11    OGLE-IV   OGLE-LMC-ACEP-129  \n",
       "709     5.583571e+11    OGLE-IV   OGLE-LMC-CEP-4534  \n",
       "710     5.583571e+11    OGLE-IV   OGLE-LMC-CEP-4523  \n",
       "711     5.583572e+11    OGLE-IV   OGLE-LMC-CEP-4530  \n",
       "712     5.583575e+11    OGLE-IV   OGLE-LMC-CEP-4570  \n",
       "713     5.583575e+11    OGLE-IV   OGLE-LMC-CEP-4554  \n",
       "714     5.583576e+11    OGLE-IV   OGLE-LMC-CEP-4555  \n",
       "\n",
       "[425 rows x 31 columns]"
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vmc_cepheids_LMC"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## Some testing of *s* parameter space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 296,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
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VmNllZpZvZvkbNmxojHaLiAgpChcze83MPokzjQYeAA4HhgBrgbuiel93n+ruee6e16VL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\nct97AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xran = np.linspace(0.01, 0.6, num=200)\n",
    "yran = []\n",
    "wran = []\n",
    "zran = []\n",
    "for a_scatter in xran:\n",
    "    a_guess = starting_guess.copy()\n",
    "    a_guess[ranges['s'][1]] = a_scatter\n",
    "    yran.append(np.sum(posterior(a_guess, ranges, data_emcee, False)))\n",
    "    wran.append(np.sum(likelihood_app_mag(a_guess, ranges, data_emcee, False)))\n",
    "    zran.append(np.sum(prior_PLR(a_guess, ranges, False)))\n",
    "\n",
    "max_yran = np.argmax(yran)\n",
    "plt.plot(xran, yran, 'r-', label='posterior')\n",
    "plt.plot(xran[max_yran], yran[max_yran], 'rs', label='posterior max')\n",
    "plt.plot(xran, wran, 'g-', label='likelihood_app_mag')\n",
    "plt.plot(xran, np.asarray(zran), 'b-', label='PLR_prior')\n",
    "plt.legend()\n",
    "plt.title('PLR prior but fixed')\n",
    "plt.xlabel('scatter')\n",
    "plt.ylabel('likelihood')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 306,
   "metadata": {
    "hidden": true,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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FIuJYRGxExMb+/fsTFM0sb53pEjk9oCzVzKN7957vITT9s3dvmtfPVC6feYqa/53AlZKe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\nAXLwNzMbIAd/M7MBcvA3Mxug/wdhU6+KQKaNVQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "band_n=2\n",
    "plt.plot(np.log10(data['P_exp']), a_true[band_n] * np.log10(data['P_exp']) + b_true[band_n], 'rs')\n",
    "plt.plot(np.log10(data['P_exp']), data['M_true_I'], 'gs')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 199,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7978845608028654"
      ]
     },
     "execution_count": 199,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "norm(loc=1, scale=0.5).pdf(1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## Some testing of *A* parameter space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 184,
   "metadata": {
    "hidden": true,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24 of 25"
     ]
    }
   ],
   "source": [
    "# Constants\n",
    "a_star = 30\n",
    "a_band = 'I'\n",
    "\n",
    "# Find the posterior at the starting guess\n",
    "band_number = band_names.index(a_band)\n",
    "points = 200\n",
    "xran2 = np.linspace(0.4, 2.0, num=points)\n",
    "yran = []\n",
    "for a_A in xran:\n",
    "    a_guess = starting_guess.copy()\n",
    "    a_guess[ranges['A'][band_number * N_good + a_star]] = a_A\n",
    "    yran.append(np.sum(posterior(a_guess, ranges, data_emcee, False)))\n",
    "\n",
    "# Find the posterior for some random walkers\n",
    "tests = 400\n",
    "points = 25\n",
    "xran2 = np.linspace(0.4, 2.0, num=points)\n",
    "zran = np.zeros((tests, points))\n",
    "guess_indices = np.random.randint(0, walkers, size=tests)\n",
    "walker_guesses = sampler.chain[guess_indices, -1, :]\n",
    "for a_A, i in zip(xran2, range(points)):\n",
    "    walker_guesses[:, ranges['A'][band_number * N_good + a_star]] = a_A\n",
    "    \n",
    "    for j in range(tests):\n",
    "        zran[j, i] = np.sum(posterior(walker_guesses[j], ranges, data_emcee, False))\n",
    "    \n",
    "    sys.stdout.write('\\r{} of {}'.format(i+1, points))\n",
    "    sys.stdout.flush()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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2vg31hkGt5ty39bqrI0jFj/GEhYJzd1O9q9cdISZx1v1Zr7uC1CRSjYbsi2ST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N0XgIaslB1AOJZqotcZkTnjT0inMXpEKmzYy1SrGjypOJC9U/lEp+jtZVot+wyh1gnGW1vWsVwo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ISQF7AqdZq2zv3zWHSai2YPkrgqqWY5PuytVGWyW5LXiZnE1EGDwWBYHmg/+nKi17Jx2ELW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\n6YvRHQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "true_A = data.iloc[[a_star]]['A_true_' + a_band]\n",
    "max_yran = np.amax(yran)\n",
    "arg_max_yran = np.argmax(yran)\n",
    "\n",
    "plot_offset = 450\n",
    "\n",
    "plt.figure(figsize=(10,10))\n",
    "\n",
    "for i in range(tests):\n",
    "    max_zran = np.amax(zran[i, :])\n",
    "    zran_offset = max_yran - max_zran\n",
    "    plt.plot(xran2, zran[i, :] + zran_offset, 'b-', alpha=0.02)\n",
    "\n",
    "plt.plot(xran, yran, 'r-', label='start posterior', alpha=0.4)\n",
    "plt.plot(xran[arg_max_yran], yran[arg_max_yran], 'rx', label='start posterior max')\n",
    "plt.plot([xran[arg_max_yran]-s_true[band_number], xran[arg_max_yran]+s_true[band_number]], \n",
    "         [yran[arg_max_yran]-0.05, yran[arg_max_yran]-0.05], 'r--', label='+- scatter', alpha=0.4)\n",
    "\n",
    "plt.plot(true_A, yran[arg_max_yran], 'kx', label='true value')\n",
    "plt.plot(data.iloc[[a_star]]['A_inf_' + a_band], yran[arg_max_yran], 'bx', \n",
    "         label='inf value')\n",
    "\n",
    "#plt.plot(xran, np.asarray(zran), 'g-', label='likelihood_app_mag')\n",
    "plt.plot()\n",
    "plt.legend()\n",
    "plt.title('A trip through A parameter space, star={}'.format(a_star))\n",
    "plt.xlabel('extinction')\n",
    "plt.ylabel('likelihood')\n",
    "plt.xlim(0.4, 2.0)\n",
    "plt.ylim(-2647, -2644.7)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## From the maximisation function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 380,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": [
    "def maximise_likelihood(star, data, omega_0, L):\n",
    "    \"\"\"Maximises a given star's likelihood in order to find a good initial \n",
    "    guess at its parameters.\n",
    "    \n",
    "    Currently, this takes omega, omega_0, L, m and M values as given, and only \n",
    "    fits for A. This has, in the past, stopped the minimisation function\n",
    "    from being a colossal prick\n",
    "    \n",
    "    If the function fails for whatever reason (usually because it can't stop \n",
    "    getting -np.inf for a given star,) then success will be set to False and \n",
    "    the star will not be added to the parameters to solve for. If this happens, \n",
    "    then the user should really try and work out why (and get the star working)\n",
    "    before proceeding, to ensure that selection effects stemming from the\n",
    "    effectiveness of this guesser do not appear in the final model.\n",
    "    \"\"\"\n",
    "    # Assume we're gonna get through ok\n",
    "    success = True\n",
    "    \n",
    "    # A synthetic ranges dictionary to trick posterior() into working\n",
    "    ranges = {'omega':0,\n",
    "              'omega_0':1,\n",
    "              'L':2,\n",
    "              'A':list(range(3, 3 + 1*N_bands)),\n",
    "              'm':list(range(3 + 1*N_bands, 3 + 2*N_bands)),\n",
    "              'M':list(range(3 + 2*N_bands, 3 + 3*N_bands))}\n",
    "    \n",
    "    # Set any -ve parallaxes to the PLR implied parallax\n",
    "    if data['omega_exp'][a_star] <= 0:\n",
    "        omega = np.power(10, (data['M_exp'][a_star] + data['A_exp'][a_star] \n",
    "                                  + 10 - data['m_exp'][a_star]) / 5)\n",
    "    else:\n",
    "        omega = data['omega_exp'][a_star]\n",
    "    \n",
    "    # Create other guess parameters\n",
    "    A = data['A_exp'][a_star]\n",
    "    m = data['m_exp'][a_star]\n",
    "    M = data['M_exp'][a_star]   \n",
    "    \n",
    "    \"\"\"Check for likelihood_app_mag infinity issues\"\"\"\n",
    "    guess = np.array([omega, omega_0, L, A, m, M])\n",
    "    likelihood_test = likelihood_app_mag(guess, ranges, data, debug=False)\n",
    "    if np.isfinite(likelihood_test) == False or likelihood_test < -300:\n",
    "        print(\"Star {} gives an instant inf. Attempting to fix.\".format(star))\n",
    "        \n",
    "        # Slowly change the extinction to see if this fixes the problem\n",
    "        counter = 1\n",
    "        while True:\n",
    "            guess[ranges['A']] += 0.001  \n",
    "            \n",
    "            new_likelihood_test = likelihood_app_mag(guess, ranges, data, \n",
    "                                                     debug=False)\n",
    "            \n",
    "            # If the extinction prior is now false, then I guess we've\n",
    "            # totally failed to fix this star. =(\n",
    "            if np.isfinite(prior_extinction(guess, ranges, \n",
    "                                            debug=False)) == False:\n",
    "                print(\"Prior_extinction is now infinite. Star {} has failed\\n\"\n",
    "                      .format(star)\n",
    "                      + \" after {} attempts.\".format(counter))\n",
    "                success = False\n",
    "                break            \n",
    "                \n",
    "            # Otherwise, see if the likelihood is better now:\n",
    "            elif (np.isfinite(new_likelihood_test) and new_likelihood_test < likelihood_test):\n",
    "                print(\"likelihood_app_mag is now finite. Moving on...\")\n",
    "                guess[ranges['A']] -= 0.001  \n",
    "                break\n",
    "                \n",
    "            # Otherwise, update a counter and try the loop again\n",
    "            else:\n",
    "                likelihood_test = new_likelihood_test\n",
    "                counter += 1\n",
    "                \n",
    "    \"\"\"Run scipy minimisation function\"\"\"\n",
    "    if success:\n",
    "        print(\"Minimising star {}...\".format(star))\n",
    "\n",
    "        # Remove omega_0, L, m and M from guess so that they're locked\n",
    "        guess = np.array([omega, A])\n",
    "\n",
    "        # Multiply the posterior by -1 when returning so that it's \n",
    "        # minimized, not maximized\n",
    "        def function_to_minimize(params, omega_0, L, m, M, ranges, data):\n",
    "            params = np.insert(params, 1, [omega_0, L])\n",
    "            params = np.append(params, m)\n",
    "            params = np.append(params, M)\n",
    "            return -1 * posterior(params, ranges, data)\n",
    "\n",
    "        # Actually do the scipy bit\n",
    "        result = minimize(function_to_minimize, guess, \n",
    "                 args=(omega_0, L, m, M, ranges, data), \n",
    "                 method='Nelder-Mead',\n",
    "                 options={'maxiter':2000})\n",
    "\n",
    "        # 'result' is a scipy.optimize.OptimizeResult object that we need \n",
    "        # to split up\n",
    "        omega = result.x[ranges['omega']]\n",
    "        A = result.x[list(np.array(ranges['A']) - 2)]\n",
    "        success = result.success\n",
    "        \n",
    "        a_posterior = -1 * function_to_minimize([omega, A], omega_0, \n",
    "                            L, m, M, ranges, data)\n",
    "        \n",
    "        if success and np.isfinite(a_posterior):\n",
    "            print(\"  minimised star {}. Posterior = {}. Omega = {}. A = {}\\n\"\n",
    "                  .format(star, a_posterior, omega, A))\n",
    "        else:\n",
    "            print(\"Minimisation failed on star {} after ??? iterations =(\\n\"\n",
    "                  .format(star))\n",
    "    \n",
    "    return [success, omega, A, m, M]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## More from the maximisation function (how it was at the start of batdog_begins)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": [
    "def maximise_likelihood(star, data, omega_0, L):\n",
    "    \"\"\"Maximises a given star's likelihood in order to find a good initial \n",
    "    guess at its parameters.\n",
    "    \n",
    "    Currently, this takes omega, omega_0, L, m and M values as given, and only \n",
    "    fits for A. This has, in the past, stopped the minimisation function\n",
    "    from being a colossal prick\n",
    "    \n",
    "    If the function fails for whatever reason (usually because it can't stop \n",
    "    getting -np.inf for a given star,) then success will be set to False and \n",
    "    the star will not be added to the parameters to solve for. If this happens, \n",
    "    then the user should really try and work out why (and get the star working)\n",
    "    before proceeding, to ensure that selection effects stemming from the\n",
    "    effectiveness of this guesser do not appear in the final model.\n",
    "    \"\"\"\n",
    "    # Console output\n",
    "    print(\"\\n> Creating a guess for star {}\".format(star))\n",
    "    \n",
    "    # Assume failure because I have to typecast this.. somewhere. Why not here?\n",
    "    A_success = False\n",
    "       \n",
    "    # Get input parameters to use from data\n",
    "    A = data['A'][:, star]\n",
    "    P = data['P'][star]\n",
    "    m = data['A'][:, star]\n",
    "    \n",
    "    \n",
    "    \"\"\"Solve for parallax\"\"\"\n",
    "    # We calculate good input data for scipy, and then feed this to the\n",
    "    # minimisation method.\n",
    "    def function_to_minimize(omega, omega_0, L, A, m, M, ranges, data):\n",
    "        \"\"\"Minimisation function for use with scipy. We multiply by -1 so \n",
    "        we're minimising, not maximising!\n",
    "        \"\"\"\n",
    "        # Pop everything in a np.array to interface with existing fns\n",
    "        params = np.array([omega, omega_0, L, A, m, M])\n",
    "\n",
    "        return -1*(np.sum(likelihood_parallax(params, ranges, data, True)) \n",
    "                   + np.sum(prior_parallax(params, ranges, True)))\n",
    "    \n",
    "    # Calculate different initial estimates of the parallax & their probability\n",
    "    omega_exp = data['omega_exp'][star]\n",
    "    omega_PLR = np.power(10, (data['M_exp'][a_star] + data['A_exp'][a_star] \n",
    "                                  + 10 - data['m_exp'][a_star]) / 5)\n",
    "    omega_prior = 1/(2*L) * 1e3\n",
    "    prob_exp = function_to_minimize(omega_exp, omega_0, L, \n",
    "                                    A, m, M, ranges, data)\n",
    "    prob_PLR = function_to_minimize(omega_PLR, omega_0, L, \n",
    "                                    A, m, M, ranges, data)\n",
    "    prob_prior = function_to_minimize(omega_prior, omega_0, L, \n",
    "                                      A, m, M, ranges, data)\n",
    "    \n",
    "    # Minimise with the most likely \n",
    "    if prob_exp < prob_PLR and prob_exp < prob_prior and np.isfinite(prob_exp):\n",
    "        print(\"    using experimental parallax value for first guess\")\n",
    "        omega = omega_exp\n",
    "        omega_success = True\n",
    "    elif prob_PLR < prob_prior and np.isfinite(prob_PLR):\n",
    "        print(\"    using PLR parallax value for first guess\")\n",
    "        omega = omega_PLR\n",
    "        omega_success = True\n",
    "    elif np.isfinite(prob_prior):\n",
    "        print(\"    using prior parallax value for first guess\")\n",
    "        omega = omega_prior\n",
    "        omega_success = True\n",
    "        \n",
    "    # If all else fails, brute force through parameter space to try and find\n",
    "    # a value to use. Ranges need setting manually.\n",
    "    else:\n",
    "        print(\"    ah shit nothing has worked yet\")\n",
    "        print(\"    gonna do this the hard way with 1000 samples...\")\n",
    "        omega_sampled = np.linspace(0.001, 2.0, num=1000)\n",
    "        prob_sampled = []\n",
    "        for i in omega_sampled:\n",
    "            params = np.array([i, 0.0, 1000.0, 0.0, 0.0, 0.0])\n",
    "            prob_sampled.append(function_to_minimize(i, omega_0, L, \n",
    "                                                     A, m, M, ranges, data))\n",
    "        \n",
    "        # See if *literally any* of the values are good\n",
    "        if np.any(np.isfinite(prob_sampled)):\n",
    "            print(\"    using sampled parallax value for first guess\")\n",
    "            index_of_minimum = np.argmin(prob_sampled)\n",
    "            omega = omega_sampled[index_of_minimum]\n",
    "            omega_success = True\n",
    "        else:\n",
    "            print(\"~~~ failed to make initial omega guess =(\")\n",
    "            omega_success = False\n",
    "        \n",
    "    # Minimise with scipy if the above worked and we have a good initial guess\n",
    "    if omega_success:\n",
    "        result = minimize(function_to_minimize, omega, \n",
    "                          args=(omega_0, L, A, m, M, ranges, data), \n",
    "                          method='Nelder-Mead',\n",
    "                          options={'maxiter':2000, 'disp':True})\n",
    "    \n",
    "        # Pull the results out of result, which is a \n",
    "        # scipy.optimize.OptimizeResult object that needs care, love, \n",
    "        # attention, and the US spelling of optimise\n",
    "        omega_success = result.success\n",
    "\n",
    "        # Tell the user that everything went well (hopefully (maybe))\n",
    "        if omega_success:\n",
    "            omega_guess = result.x\n",
    "            print(\"    guessed omega at {}\".format(omega_guess))\n",
    "        else:\n",
    "            print(\"~~~ scipy failed to guess omega =(\")\n",
    "    \n",
    "    \n",
    "    \"\"\"Solve for extinction\"\"\"\n",
    "    # This is easily done with the PLR relationship and using the guessed\n",
    "    # parallax above to infer an extinction value.\n",
    "    if omega_success:\n",
    "        A_guess = m - M - 10 + 5*np.log10(omega_guess)\n",
    "        print(\"    guessed A at {}\".format(A_guess))\n",
    "        print(\"    original A was {}\".format(data['A_exp'][star]))\n",
    "        \n",
    "        # Check that the posterior for this star isn't something stupid\n",
    "        # If it is, then we've fucked up lol\n",
    "        params_guess = np.array([omega_guess, omega_0, L, A_guess, m, M])\n",
    "        posterior_guess = posterior(params_guess, ranges, data, debug=True)\n",
    "        A_success = np.isfinite(posterior_guess)\n",
    "        print(\"    posterior evaluates to {}\".format(posterior_guess))\n",
    "        \n",
    "        if A_success == False:\n",
    "            print(\"~~~ failed to guess A due to poor posterior\")   \n",
    "    \n",
    "    \n",
    "    \"\"\"Return result\"\"\"\n",
    "    if A_success:\n",
    "        print(\"    storing this good result for star {}\".format(star))\n",
    "        return [omega_guess, A_guess, m, M]\n",
    "        \n",
    "    else:\n",
    "        print(\"~~~ star {} will not be stored in the final model\".format(star))\n",
    "        return [False]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 172,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
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azJ8/n4EDB7JhwwZ69+6t4iASJeEFwsxON7PiR6aBa4GPgWlA+2C29sBric4m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\nWAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ranges = {'omega':0,\n",
    "          'omega_0':1,\n",
    "          'L':2,\n",
    "          'A':list(range(3, 3 + 1*N_bands)),\n",
    "          'm':list(range(3 + 1*N_bands, 3 + 2*N_bands)),\n",
    "          'M':list(range(3 + 2*N_bands, 3 + 3*N_bands))}\n",
    "\n",
    "a_star = 33\n",
    "\n",
    "##############\n",
    "\n",
    "some_data = data.iloc[[a_star]]\n",
    "a_A = some_data['A_exp'][a_star]\n",
    "a_m = some_data['m_exp'][a_star]\n",
    "a_M = some_data['M_exp'][a_star]\n",
    "\n",
    "xrange = np.linspace(0.001, 2.0, num=1000)\n",
    "yrange = []\n",
    "for i in xrange:\n",
    "    params = np.array([i, 0.0, 1000.0, 0.0, 0.0, 0.0])\n",
    "    yrange.append(-1*(np.sum(likelihood_parallax(params, ranges, some_data, True)) \n",
    "                   + np.sum(prior_parallax(params, ranges, True))))\n",
    "    \n",
    "plt.plot(xrange, yrange, 'k-')\n",
    "plt.xlabel('parallax')\n",
    "plt.ylabel('-ve posterior prob')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## Run the maximisation function for all stars"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "metadata": {
    "hidden": true,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "> Creating a guess for star 0\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.462566\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.57986574]\n",
      "    guessed A at [1.08599221]\n",
      "    original A was 0.8896045984425304\n",
      "    posterior evaluates to -10.334307268996515\n",
      "    storing this good result for star 0\n",
      "\n",
      "> Creating a guess for star 1\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 18.137256\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.76338401]\n",
      "    guessed A at [1.976072]\n",
      "    original A was 1.5387955952605645\n",
      "    posterior evaluates to -13.276337638793482\n",
      "    storing this good result for star 1\n",
      "\n",
      "> Creating a guess for star 2\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.844119\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "    guessed omega at [0.1999932]\n",
      "    guessed A at [0.18540274]\n",
      "    original A was 0.2978116429016063\n",
      "    posterior evaluates to -7.510738994499068\n",
      "    storing this good result for star 2\n",
      "\n",
      "> Creating a guess for star 3\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.179009\n",
      "         Iterations: 12\n",
      "         Function evaluations: 24\n",
      "    guessed omega at [1.44855282]\n",
      "    guessed A at [1.93194305]\n",
      "    original A was 1.1103677329760198\n",
      "    posterior evaluates to -11.108889613764699\n",
      "    storing this good result for star 3\n",
      "\n",
      "> Creating a guess for star 4\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.265244\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.32841605]\n",
      "    guessed A at [1.88203683]\n",
      "    original A was 1.2111227963149567\n",
      "    posterior evaluates to -10.641297727062721\n",
      "    storing this good result for star 4\n",
      "\n",
      "> Creating a guess for star 5\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.620058\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [0.67327781]\n",
      "    guessed A at [0.23427984]\n",
      "    original A was 0.1788884338008611\n",
      "    posterior evaluates to -9.518329194283071\n",
      "    storing this good result for star 5\n",
      "\n",
      "> Creating a guess for star 6\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.292176\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [1.32627928]\n",
      "    guessed A at [0.41231561]\n",
      "    original A was 0.28844271709036184\n",
      "    posterior evaluates to -12.194629007463302\n",
      "    storing this good result for star 6\n",
      "\n",
      "> Creating a guess for star 7\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.861758\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/u/h/eh594/.conda/envs/emily3/lib/python3.6/site-packages/ipykernel/__main__.py:10: RuntimeWarning: divide by zero encountered in log\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "    guessed omega at [0.24915696]\n",
      "    guessed A at [2.18889264]\n",
      "    original A was 1.2242519253636444\n",
      "    posterior evaluates to -11.069788450392316\n",
      "    storing this good result for star 7\n",
      "\n",
      "> Creating a guess for star 8\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.757386\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.464878]\n",
      "    guessed A at [1.92226384]\n",
      "    original A was 1.5330862335554545\n",
      "    posterior evaluates to -9.636968223249294\n",
      "    storing this good result for star 8\n",
      "\n",
      "> Creating a guess for star 9\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.666752\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.47155286]\n",
      "    guessed A at [1.31159256]\n",
      "    original A was 0.7331084931731461\n",
      "    posterior evaluates to -9.83673980551529\n",
      "    storing this good result for star 9\n",
      "\n",
      "> Creating a guess for star 10\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.358972\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.43621062]\n",
      "    guessed A at [1.35302674]\n",
      "    original A was 1.2590399739855567\n",
      "    posterior evaluates to -10.491663089813553\n",
      "    storing this good result for star 10\n",
      "\n",
      "> Creating a guess for star 11\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 13.686697\n",
      "         Iterations: 12\n",
      "         Function evaluations: 24\n",
      "    guessed omega at [0.43369212]\n",
      "    guessed A at [0.29082574]\n",
      "    original A was 0.1889222894137164\n",
      "    posterior evaluates to -8.168541455325915\n",
      "    storing this good result for star 11\n",
      "\n",
      "> Creating a guess for star 12\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.289198\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [0.67514769]\n",
      "    guessed A at [1.07823316]\n",
      "    original A was 0.8402646721328274\n",
      "    posterior evaluates to -8.485091876531822\n",
      "    storing this good result for star 12\n",
      "\n",
      "> Creating a guess for star 13\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.339264\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.34537441]\n",
      "    guessed A at [1.80834175]\n",
      "    original A was 1.284920215421142\n",
      "    posterior evaluates to -10.735086554036885\n",
      "    storing this good result for star 13\n",
      "\n",
      "> Creating a guess for star 14\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.851057\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "    guessed omega at [0.23027124]\n",
      "    guessed A at [1.31372395]\n",
      "    original A was 1.105903850693886\n",
      "    posterior evaluates to -10.863752988494372\n",
      "    storing this good result for star 14\n",
      "\n",
      "> Creating a guess for star 15\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.133817\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.42585641]\n",
      "    guessed A at [1.45362283]\n",
      "    original A was 1.2525549526498332\n",
      "    posterior evaluates to -10.045695373770837\n",
      "    storing this good result for star 15\n",
      "\n",
      "> Creating a guess for star 16\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.262358\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.57761933]\n",
      "    guessed A at [1.90242166]\n",
      "    original A was 1.0139498983336135\n",
      "    posterior evaluates to -12.064603126897861\n",
      "    storing this good result for star 16\n",
      "\n",
      "> Creating a guess for star 17\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.378921\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.34833328]\n",
      "    guessed A at [0.42713623]\n",
      "    original A was 0.3488219553627497\n",
      "    posterior evaluates to -12.716070874238767\n",
      "    storing this good result for star 17\n",
      "\n",
      "> Creating a guess for star 18\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.905338\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.39697589]\n",
      "    guessed A at [1.88052923]\n",
      "    original A was 1.2069753119184545\n",
      "    posterior evaluates to -7.954763933908946\n",
      "    storing this good result for star 18\n",
      "\n",
      "> Creating a guess for star 19\n",
      "    using PLR parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.790673\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.24608426]\n",
      "    guessed A at [1.58186363]\n",
      "    original A was 1.3381983923157243\n",
      "    posterior evaluates to -12.235097859872617\n",
      "    storing this good result for star 19\n",
      "\n",
      "> Creating a guess for star 20\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.214962\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.66410845]\n",
      "    guessed A at [1.31324781]\n",
      "    original A was 0.8480064917329503\n",
      "    posterior evaluates to -13.112639872006406\n",
      "    storing this good result for star 20\n",
      "\n",
      "> Creating a guess for star 21\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.390846\n",
      "         Iterations: 12\n",
      "         Function evaluations: 24\n",
      "    guessed omega at [1.66264094]\n",
      "    guessed A at [1.5420172]\n",
      "    original A was 0.9931971019522343\n",
      "    posterior evaluates to -11.781931403846906\n",
      "    storing this good result for star 21\n",
      "\n",
      "> Creating a guess for star 22\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.850900\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.4873911]\n",
      "    guessed A at [1.65655168]\n",
      "    original A was 1.4056695606695062\n",
      "    posterior evaluates to -13.02952373607003\n",
      "    storing this good result for star 22\n",
      "\n",
      "> Creating a guess for star 23\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.007601\n",
      "         Iterations: 12\n",
      "         Function evaluations: 24\n",
      "    guessed omega at [0.97451202]\n",
      "    guessed A at [1.80611497]\n",
      "    original A was 1.5477867252726987\n",
      "    posterior evaluates to -10.761272441779493\n",
      "    storing this good result for star 23\n",
      "\n",
      "> Creating a guess for star 24\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.475152\n",
      "         Iterations: 12\n",
      "         Function evaluations: 24\n",
      "    guessed omega at [0.62955017]\n",
      "    guessed A at [0.74710379]\n",
      "    original A was 0.5814911646576041\n",
      "    posterior evaluates to -9.242964262501003\n",
      "    storing this good result for star 24\n",
      "\n",
      "> Creating a guess for star 25\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.843835\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [0.54860994]\n",
      "    guessed A at [0.17897383]\n",
      "    original A was 0.17769193004039233\n",
      "    posterior evaluates to -10.708079138330827\n",
      "    storing this good result for star 25\n",
      "\n",
      "> Creating a guess for star 26\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.102529\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.32080302]\n",
      "    guessed A at [1.82007778]\n",
      "    original A was 1.3527559260089472\n",
      "    posterior evaluates to -10.764854847269284\n",
      "    storing this good result for star 26\n",
      "\n",
      "> Creating a guess for star 27\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.988048\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.45623837]\n",
      "    guessed A at [1.68452496]\n",
      "    original A was 1.0150711951967837\n",
      "    posterior evaluates to -12.930201875027812\n",
      "    storing this good result for star 27\n",
      "\n",
      "> Creating a guess for star 28\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 13.548680\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [0.38401791]\n",
      "    guessed A at [0.25269717]\n",
      "    original A was 0.1884091758635667\n",
      "    posterior evaluates to -9.114293860654877\n",
      "    storing this good result for star 28\n",
      "\n",
      "> Creating a guess for star 29\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.426399\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.31615396]\n",
      "    guessed A at [1.23415641]\n",
      "    original A was 0.6636833819689465\n",
      "    posterior evaluates to -10.490178892418127\n",
      "    storing this good result for star 29\n",
      "\n",
      "> Creating a guess for star 30\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.558617\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "    guessed omega at [0.22173748]\n",
      "    guessed A at [0.54973927]\n",
      "    original A was 0.42324661898151145\n",
      "    posterior evaluates to -9.706586380311911\n",
      "    storing this good result for star 30\n",
      "\n",
      "> Creating a guess for star 31\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.521840\n",
      "         Iterations: 13\n",
      "         Function evaluations: 26\n",
      "    guessed omega at [0.73087881]\n",
      "    guessed A at [1.69772415]\n",
      "    original A was 0.9106636968564281\n",
      "    posterior evaluates to -9.324994082887425\n",
      "    storing this good result for star 31\n",
      "\n",
      "> Creating a guess for star 32\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.785933\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.70559647]\n",
      "    guessed A at [1.89837697]\n",
      "    original A was 1.1493562519739973\n",
      "    posterior evaluates to -11.98532116894187\n",
      "    storing this good result for star 32\n",
      "\n",
      "> Creating a guess for star 33\n",
      "    using PLR parallax value for first guess\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully.\n",
      "         Current function value: 10.509467\n",
      "         Iterations: 23\n",
      "         Function evaluations: 46\n",
      "    guessed omega at [0.00050143]\n",
      "    guessed A at [-11.1951979]\n",
      "    original A was 0.7143572367220545\n",
      "\n",
      "prior_extinction encountered infs in:\n",
      "(array([0]),)\n",
      "    posterior evaluates to -inf\n",
      "~~~ failed to guess A due to poor posterior\n",
      "~~~ star 33 will not be stored in the final model\n",
      "\n",
      "> Creating a guess for star 34\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.286517\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.42090971]\n",
      "    guessed A at [1.9548167]\n",
      "    original A was 1.1749025876386152\n",
      "    posterior evaluates to -10.404522161291164\n",
      "    storing this good result for star 34\n",
      "\n",
      "> Creating a guess for star 35\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.566989\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [0.98244563]\n",
      "    guessed A at [0.20294278]\n",
      "    original A was 0.1304619437735874\n",
      "    posterior evaluates to -9.172893521834855\n",
      "    storing this good result for star 35\n",
      "\n",
      "> Creating a guess for star 36\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.901217\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [1.17941599]\n",
      "    guessed A at [0.56278003]\n",
      "    original A was 0.3257302634283164\n",
      "    posterior evaluates to -10.913984868527287\n",
      "    storing this good result for star 36\n",
      "\n",
      "> Creating a guess for star 37\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.236950\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.55404648]\n",
      "    guessed A at [0.48276974]\n",
      "    original A was 0.3478726360335566\n",
      "    posterior evaluates to -12.372366964485916\n",
      "    storing this good result for star 37\n",
      "\n",
      "> Creating a guess for star 38\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.384197\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [0.29105635]\n",
      "    guessed A at [1.6496965]\n",
      "    original A was 1.2929397013654411\n",
      "    posterior evaluates to -8.508429270378723\n",
      "    storing this good result for star 38\n",
      "\n",
      "> Creating a guess for star 39\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.792134\n",
      "         Iterations: 12\n",
      "         Function evaluations: 24\n",
      "    guessed omega at [0.68995268]\n",
      "    guessed A at [1.06142713]\n",
      "    original A was 0.7064784765674412\n",
      "    posterior evaluates to -7.955604874400825\n",
      "    storing this good result for star 39\n",
      "\n",
      "> Creating a guess for star 40\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.532826\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.42026034]\n",
      "    guessed A at [0.79712894]\n",
      "    original A was 0.5635199432968545\n",
      "    posterior evaluates to -11.846222222035047\n",
      "    storing this good result for star 40\n",
      "\n",
      "> Creating a guess for star 41\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.120399\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [0.25560017]\n",
      "    guessed A at [1.58529745]\n",
      "    original A was 1.0425812518739614\n",
      "    posterior evaluates to -12.152695805168538\n",
      "    storing this good result for star 41\n",
      "\n",
      "> Creating a guess for star 42\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.955941\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.92306313]\n",
      "    guessed A at [2.04472801]\n",
      "    original A was 1.4721206431527545\n",
      "    posterior evaluates to -11.23423276258818\n",
      "    storing this good result for star 42\n",
      "\n",
      "> Creating a guess for star 43\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.849752\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.46430578]\n",
      "    guessed A at [1.73987995]\n",
      "    original A was 1.1989537880828371\n",
      "    posterior evaluates to -11.230578745711513\n",
      "    storing this good result for star 43\n",
      "\n",
      "> Creating a guess for star 44\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.853050\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [1.64148044]\n",
      "    guessed A at [0.89068306]\n",
      "    original A was 0.6122210498152371\n",
      "    posterior evaluates to -13.353084238839198\n",
      "    storing this good result for star 44\n",
      "\n",
      "> Creating a guess for star 45\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.557983\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.28383101]\n",
      "    guessed A at [0.98415995]\n",
      "    original A was 0.7184365332974151\n",
      "    posterior evaluates to -9.385896603993814\n",
      "    storing this good result for star 45\n",
      "\n",
      "> Creating a guess for star 46\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.227413\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.13674109]\n",
      "    guessed A at [0.50191668]\n",
      "    original A was 0.8267258859392437\n",
      "    posterior evaluates to -9.920660905440702\n",
      "    storing this good result for star 46\n",
      "\n",
      "> Creating a guess for star 47\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.609379\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "    guessed omega at [0.25060558]\n",
      "    guessed A at [0.22986277]\n",
      "    original A was 0.17884144534163757\n",
      "    posterior evaluates to -7.7753107789241405\n",
      "    storing this good result for star 47\n",
      "\n",
      "> Creating a guess for star 48\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.649954\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.39319389]\n",
      "    guessed A at [0.62784003]\n",
      "    original A was 0.37166653957625334\n",
      "    posterior evaluates to -11.12953743283289\n",
      "    storing this good result for star 48\n",
      "\n",
      "> Creating a guess for star 49\n",
      "    using PLR parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.645028\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [0.13085332]\n",
      "    guessed A at [0.43834206]\n",
      "    original A was 0.7942432541509349\n",
      "    posterior evaluates to -7.9850694248009315\n",
      "    storing this good result for star 49\n",
      "\n",
      "> Creating a guess for star 50\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.488222\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.2598824]\n",
      "    guessed A at [0.98122767]\n",
      "    original A was 0.5848856121921109\n",
      "    posterior evaluates to -9.72716499376535\n",
      "    storing this good result for star 50\n",
      "\n",
      "> Creating a guess for star 51\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.640952\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.29381604]\n",
      "    guessed A at [1.24056643]\n",
      "    original A was 0.6338546936984075\n",
      "    posterior evaluates to -11.782396087611923\n",
      "    storing this good result for star 51\n",
      "\n",
      "> Creating a guess for star 52\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.647444\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.36305081]\n",
      "    guessed A at [1.34422556]\n",
      "    original A was 0.6711973195883134\n",
      "    posterior evaluates to -10.931756599020035\n",
      "    storing this good result for star 52\n",
      "\n",
      "> Creating a guess for star 53\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.716991\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.40017017]\n",
      "    guessed A at [1.13532054]\n",
      "    original A was 0.6177794023062988\n",
      "    posterior evaluates to -11.928453650493696\n",
      "    storing this good result for star 53\n",
      "\n",
      "> Creating a guess for star 54\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.605900\n",
      "         Iterations: 12\n",
      "         Function evaluations: 24\n",
      "    guessed omega at [0.56948008]\n",
      "    guessed A at [0.94392642]\n",
      "    original A was 0.5560791142423249\n",
      "    posterior evaluates to -9.148250013755266\n",
      "    storing this good result for star 54\n",
      "\n",
      "> Creating a guess for star 55\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.254502\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.3935137]\n",
      "    guessed A at [1.07770138]\n",
      "    original A was 0.5353014433384996\n",
      "    posterior evaluates to -10.451512554223573\n",
      "    storing this good result for star 55\n",
      "\n",
      "> Creating a guess for star 56\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.735671\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.30296931]\n",
      "    guessed A at [2.00907647]\n",
      "    original A was 1.1537289442950232\n",
      "    posterior evaluates to -13.14361414266696\n",
      "    storing this good result for star 56\n",
      "\n",
      "> Creating a guess for star 57\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.485652\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.34536943]\n",
      "    guessed A at [0.54407024]\n",
      "    original A was 0.466691432326953\n",
      "    posterior evaluates to -8.37781239657625\n",
      "    storing this good result for star 57\n",
      "\n",
      "> Creating a guess for star 58\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.224082\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [1.34544501]\n",
      "    guessed A at [0.40099153]\n",
      "    original A was 0.33469050559421387\n",
      "    posterior evaluates to -9.617411924445006\n",
      "    storing this good result for star 58\n",
      "\n",
      "> Creating a guess for star 59\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.540444\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.72827636]\n",
      "    guessed A at [1.18081483]\n",
      "    original A was 1.1300206592657538\n",
      "    posterior evaluates to -12.836179965944416\n",
      "    storing this good result for star 59\n",
      "\n",
      "> Creating a guess for star 60\n",
      "    using PLR parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.651027\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "    guessed omega at [0.19909862]\n",
      "    guessed A at [0.25674156]\n",
      "    original A was 0.24574245449948287\n",
      "    posterior evaluates to -9.516189234727092\n",
      "    storing this good result for star 60\n",
      "\n",
      "> Creating a guess for star 61\n",
      "    using experimental parallax value for first guess\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully.\n",
      "         Current function value: 17.556038\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.69711892]\n",
      "    guessed A at [1.49936081]\n",
      "    original A was 0.9074466029426809\n",
      "    posterior evaluates to -13.430108752040343\n",
      "    storing this good result for star 61\n",
      "\n",
      "> Creating a guess for star 62\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.455422\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.2757178]\n",
      "    guessed A at [0.50890745]\n",
      "    original A was 0.31484434906427816\n",
      "    posterior evaluates to -8.95072440882705\n",
      "    storing this good result for star 62\n",
      "\n",
      "> Creating a guess for star 63\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.334695\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.28006289]\n",
      "    guessed A at [1.18547106]\n",
      "    original A was 0.8882302655092091\n",
      "    posterior evaluates to -6.7511285038498485\n",
      "    storing this good result for star 63\n",
      "\n",
      "> Creating a guess for star 64\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.302539\n",
      "         Iterations: 12\n",
      "         Function evaluations: 24\n",
      "    guessed omega at [0.71543816]\n",
      "    guessed A at [0.79041148]\n",
      "    original A was 0.6542028368462727\n",
      "    posterior evaluates to -7.016741615238605\n",
      "    storing this good result for star 64\n",
      "\n",
      "> Creating a guess for star 65\n",
      "    using PLR parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.307134\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "    guessed omega at [0.17012825]\n",
      "    guessed A at [1.15519815]\n",
      "    original A was 1.1602935094041231\n",
      "    posterior evaluates to -10.7081687550703\n",
      "    storing this good result for star 65\n",
      "\n",
      "> Creating a guess for star 66\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.779307\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "    guessed omega at [0.24563488]\n",
      "    guessed A at [1.08382561]\n",
      "    original A was 0.7921993453490476\n",
      "    posterior evaluates to -11.847461291925198\n",
      "    storing this good result for star 66\n",
      "\n",
      "> Creating a guess for star 67\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.724167\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.26144171]\n",
      "    guessed A at [0.91520102]\n",
      "    original A was 0.47931389573638833\n",
      "    posterior evaluates to -10.400197011042174\n",
      "    storing this good result for star 67\n",
      "\n",
      "> Creating a guess for star 68\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.489523\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [0.65050577]\n",
      "    guessed A at [0.23732462]\n",
      "    original A was 0.15304648634748233\n",
      "    posterior evaluates to -9.366596999601322\n",
      "    storing this good result for star 68\n",
      "\n",
      "> Creating a guess for star 69\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.548880\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "    guessed omega at [0.21840875]\n",
      "    guessed A at [0.61037359]\n",
      "    original A was 0.6826246472874642\n",
      "    posterior evaluates to -8.623365268410051\n",
      "    storing this good result for star 69\n",
      "\n",
      "> Creating a guess for star 70\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.271061\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [0.93760157]\n",
      "    guessed A at [0.79025359]\n",
      "    original A was 0.4265641194855241\n",
      "    posterior evaluates to -10.175501948697093\n",
      "    storing this good result for star 70\n",
      "\n",
      "> Creating a guess for star 71\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.350470\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.37091725]\n",
      "    guessed A at [0.45461884]\n",
      "    original A was 0.31243128752725363\n",
      "    posterior evaluates to -10.053601913857529\n",
      "    storing this good result for star 71\n",
      "\n",
      "> Creating a guess for star 72\n",
      "    using experimental parallax value for first guess\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "prior_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 7.210367\n",
      "         Iterations: 21\n",
      "         Function evaluations: 42\n",
      "    guessed omega at [0.00050447]\n",
      "    guessed A at [-10.56171053]\n",
      "    original A was 0.9995404954436581\n",
      "\n",
      "prior_extinction encountered infs in:\n",
      "(array([0]),)\n",
      "    posterior evaluates to -inf\n",
      "~~~ failed to guess A due to poor posterior\n",
      "~~~ star 72 will not be stored in the final model\n",
      "\n",
      "> Creating a guess for star 73\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 20.670283\n",
      "         Iterations: 14\n",
      "         Function evaluations: 28\n",
      "    guessed omega at [6.29393525]\n",
      "    guessed A at [1.84205355]\n",
      "    original A was 1.022171899054046\n",
      "    posterior evaluates to -15.298013797629956\n",
      "    storing this good result for star 73\n",
      "\n",
      "> Creating a guess for star 74\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.602808\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.26186645]\n",
      "    guessed A at [1.90395649]\n",
      "    original A was 0.8992794135916345\n",
      "    posterior evaluates to -11.02044543434078\n",
      "    storing this good result for star 74\n",
      "\n",
      "> Creating a guess for star 75\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.573536\n",
      "         Iterations: 12\n",
      "         Function evaluations: 24\n",
      "    guessed omega at [0.60401661]\n",
      "    guessed A at [0.70476749]\n",
      "    original A was 0.4676592476922434\n",
      "    posterior evaluates to -8.761068033767652\n",
      "    storing this good result for star 75\n",
      "\n",
      "> Creating a guess for star 76\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.446805\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.50449002]\n",
      "    guessed A at [2.02042993]\n",
      "    original A was 1.5071304387117943\n",
      "    posterior evaluates to -11.036960183565384\n",
      "    storing this good result for star 76\n",
      "\n",
      "> Creating a guess for star 77\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.930861\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.72070622]\n",
      "    guessed A at [1.17014112]\n",
      "    original A was 1.0075553139234752\n",
      "    posterior evaluates to -11.0565776097657\n",
      "    storing this good result for star 77\n",
      "\n",
      "> Creating a guess for star 78\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.616620\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [0.7389748]\n",
      "    guessed A at [0.30767176]\n",
      "    original A was 0.26161845136564044\n",
      "    posterior evaluates to -11.96737601312667\n",
      "    storing this good result for star 78\n",
      "\n",
      "> Creating a guess for star 79\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.222425\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.33155923]\n",
      "    guessed A at [0.87401566]\n",
      "    original A was 0.6530081631504009\n",
      "    posterior evaluates to -10.777455070876172\n",
      "    storing this good result for star 79\n",
      "\n",
      "> Creating a guess for star 80\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.837501\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "    guessed omega at [0.19624982]\n",
      "    guessed A at [0.59852027]\n",
      "    original A was 0.3379103267555543\n",
      "    posterior evaluates to -9.558340529885207\n",
      "    storing this good result for star 80\n",
      "\n",
      "> Creating a guess for star 81\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.582302\n",
      "         Iterations: 12\n",
      "         Function evaluations: 24\n",
      "    guessed omega at [1.28857989]\n",
      "    guessed A at [1.58979135]\n",
      "    original A was 1.1478438772260753\n",
      "    posterior evaluates to -12.447341337894848\n",
      "    storing this good result for star 81\n",
      "\n",
      "> Creating a guess for star 82\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.515169\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.30317641]\n",
      "    guessed A at [1.9237107]\n",
      "    original A was 1.5627642564595328\n",
      "    posterior evaluates to -12.409599739678246\n",
      "    storing this good result for star 82\n",
      "\n",
      "> Creating a guess for star 83\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.521703\n",
      "         Iterations: 13\n",
      "         Function evaluations: 26\n",
      "    guessed omega at [0.98370271]\n",
      "    guessed A at [0.97631092]\n",
      "    original A was 0.726590122603271\n",
      "    posterior evaluates to -9.595882514052978\n",
      "    storing this good result for star 83\n",
      "\n",
      "> Creating a guess for star 84\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.994868\n",
      "         Iterations: 13\n",
      "         Function evaluations: 26\n",
      "    guessed omega at [0.84018322]\n",
      "    guessed A at [1.66665452]\n",
      "    original A was 0.9442298875515204\n",
      "    posterior evaluates to -10.4270237455368\n",
      "    storing this good result for star 84\n",
      "\n",
      "> Creating a guess for star 85\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.703274\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "    guessed omega at [0.21563222]\n",
      "    guessed A at [0.5076505]\n",
      "    original A was 0.24481131602988365\n",
      "    posterior evaluates to -10.512543642928403\n",
      "    storing this good result for star 85\n",
      "\n",
      "> Creating a guess for star 86\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.640859\n",
      "         Iterations: 11\n",
      "         Function evaluations: 22\n",
      "    guessed omega at [0.71736432]\n",
      "    guessed A at [0.46465093]\n",
      "    original A was 0.41877551282999953\n",
      "    posterior evaluates to -10.08006372191608\n",
      "    storing this good result for star 86\n",
      "\n",
      "> Creating a guess for star 87\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.784911\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.70520996]\n",
      "    guessed A at [0.90105921]\n",
      "    original A was 0.6342981579550208\n",
      "    posterior evaluates to -12.37930853393358\n",
      "    storing this good result for star 87\n",
      "\n",
      "> Creating a guess for star 88\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.050435\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.29117158]\n",
      "    guessed A at [0.78340911]\n",
      "    original A was 0.6628468111667186\n",
      "    posterior evaluates to -8.229879663644942\n",
      "    storing this good result for star 88\n",
      "\n",
      "> Creating a guess for star 89\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 14.637203\n",
      "         Iterations: 8\n",
      "         Function evaluations: 16\n",
      "    guessed omega at [0.22590372]\n",
      "    guessed A at [0.6699513]\n",
      "    original A was 0.5427682106876343\n",
      "    posterior evaluates to -9.375596710133072\n",
      "    storing this good result for star 89\n",
      "\n",
      "> Creating a guess for star 90\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 13.958076\n",
      "         Iterations: 12\n",
      "         Function evaluations: 24\n",
      "    guessed omega at [0.45386411]\n",
      "    guessed A at [0.79711191]\n",
      "    original A was 0.5087573582186741\n",
      "    posterior evaluates to -9.305685079901124\n",
      "    storing this good result for star 90\n",
      "\n",
      "> Creating a guess for star 91\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.238967\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.36047313]\n",
      "    guessed A at [1.35057507]\n",
      "    original A was 0.9804492146200094\n",
      "    posterior evaluates to -12.709461627935376\n",
      "    storing this good result for star 91\n",
      "\n",
      "> Creating a guess for star 92\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.643064\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.25956089]\n",
      "    guessed A at [0.57778884]\n",
      "    original A was 0.41258965948390486\n",
      "    posterior evaluates to -10.353064932514638\n",
      "    storing this good result for star 92\n",
      "\n",
      "> Creating a guess for star 93\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.511264\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.61144278]\n",
      "    guessed A at [2.08140729]\n",
      "    original A was 1.331530357264678\n",
      "    posterior evaluates to -13.579211114260152\n",
      "    storing this good result for star 93\n",
      "\n",
      "> Creating a guess for star 94\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.374837\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.28148093]\n",
      "    guessed A at [1.33742621]\n",
      "    original A was 1.0544120114833817\n",
      "    posterior evaluates to -7.8229486525746985\n",
      "    storing this good result for star 94\n",
      "\n",
      "> Creating a guess for star 95\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 15.212688\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.27913726]\n",
      "    guessed A at [1.05375028]\n",
      "    original A was 0.7391596837647407\n",
      "    posterior evaluates to -10.488238053562487\n",
      "    storing this good result for star 95\n",
      "\n",
      "> Creating a guess for star 96\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.838927\n",
      "         Iterations: 10\n",
      "         Function evaluations: 20\n",
      "    guessed omega at [0.32076433]\n",
      "    guessed A at [1.80357869]\n",
      "    original A was 1.0174901470044548\n",
      "    posterior evaluates to -11.442448607806833\n",
      "    storing this good result for star 96\n",
      "\n",
      "> Creating a guess for star 97\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "\n",
      "likelihood_parallax encountered infs in:\n",
      "(array([0]),)\n",
      "    using experimental parallax value for first guess\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully.\n",
      "         Current function value: 16.735301\n",
      "         Iterations: 13\n",
      "         Function evaluations: 26\n",
      "    guessed omega at [1.39795912]\n",
      "    guessed A at [1.46902115]\n",
      "    original A was 0.8696739177212992\n",
      "    posterior evaluates to -10.83943525594211\n",
      "    storing this good result for star 97\n",
      "\n",
      "> Creating a guess for star 98\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 17.060137\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.47793537]\n",
      "    guessed A at [0.40481861]\n",
      "    original A was 0.16956816999053828\n",
      "    posterior evaluates to -10.29733296920159\n",
      "    storing this good result for star 98\n",
      "\n",
      "> Creating a guess for star 99\n",
      "    using experimental parallax value for first guess\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 16.218853\n",
      "         Iterations: 9\n",
      "         Function evaluations: 18\n",
      "    guessed omega at [0.31454607]\n",
      "    guessed A at [1.7163869]\n",
      "    original A was 0.8808828605422424\n",
      "    posterior evaluates to -9.669930616957398\n",
      "    storing this good result for star 99\n",
      "All done! We failed 2 times.\n"
     ]
    }
   ],
   "source": [
    "# Define ranges that will be where data is stored in the overall\n",
    "# mcmc position vector.\n",
    "\n",
    "guess_omega = []\n",
    "guess_A = []\n",
    "guess_m = []\n",
    "guess_M = []\n",
    "guess_successes = []\n",
    "guess_fails = []\n",
    "\n",
    "# Cycle over all stars and get guesses on their parameters\n",
    "for a_star in range(N):\n",
    "    maximisation_result = maximise_likelihood(a_star, data.iloc[[a_star]],\n",
    "                                              guess_omega_0, guess_L)\n",
    "    \n",
    "    # Only add the star to the parameter set if it's not going to cause issues.\n",
    "    # We ascertain this with np.any(), which returns False for [False] (as the \n",
    "    # single array element in that isn't true)\n",
    "    if np.any(maximisation_result):\n",
    "        guess_omega.append(maximisation_result[0])\n",
    "        guess_A.append(maximisation_result[1])\n",
    "        guess_m.append(maximisation_result[2])\n",
    "        guess_M.append(maximisation_result[3])\n",
    "        guess_successes.append(a_star)\n",
    "    else:\n",
    "        guess_fails.append(a_star)\n",
    "\n",
    "print('All done! We failed {} times.'.format(len(guess_fails)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 178,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ID</th>\n",
       "      <th>ra</th>\n",
       "      <th>dec</th>\n",
       "      <th>r_true</th>\n",
       "      <th>omega_true</th>\n",
       "      <th>P_true</th>\n",
       "      <th>s_true</th>\n",
       "      <th>M_true</th>\n",
       "      <th>A_true</th>\n",
       "      <th>m_true</th>\n",
       "      <th>omega_exp</th>\n",
       "      <th>omega_sigma</th>\n",
       "      <th>m_exp</th>\n",
       "      <th>m_sigma</th>\n",
       "      <th>A_exp</th>\n",
       "      <th>A_sigma</th>\n",
       "      <th>P_exp</th>\n",
       "      <th>P_sigma</th>\n",
       "      <th>M_exp</th>\n",
       "      <th>M_sigma</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>47</td>\n",
       "      <td>173.806324</td>\n",
       "      <td>-61.025872</td>\n",
       "      <td>3829.266374</td>\n",
       "      <td>0.261147</td>\n",
       "      <td>18.728441</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.264246</td>\n",
       "      <td>0.327156</td>\n",
       "      <td>15.50698</td>\n",
       "      <td>0.253377</td>\n",
       "      <td>0.018816</td>\n",
       "      <td>15.506086</td>\n",
       "      <td>0.001341</td>\n",
       "      <td>0.178841</td>\n",
       "      <td>0.143073</td>\n",
       "      <td>18.618057</td>\n",
       "      <td>0.110836</td>\n",
       "      <td>2.271177</td>\n",
       "      <td>0.047001</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    ID          ra        dec       r_true  omega_true     P_true  s_true  \\\n",
       "47  47  173.806324 -61.025872  3829.266374    0.261147  18.728441     0.0   \n",
       "\n",
       "      M_true    A_true    m_true  omega_exp  omega_sigma      m_exp   m_sigma  \\\n",
       "47  2.264246  0.327156  15.50698   0.253377     0.018816  15.506086  0.001341   \n",
       "\n",
       "       A_exp   A_sigma      P_exp   P_sigma     M_exp   M_sigma  \n",
       "47  0.178841  0.143073  18.618057  0.110836  2.271177  0.047001  "
      ]
     },
     "execution_count": 178,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.iloc[[47]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 168,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[33, 72]"
      ]
     },
     "execution_count": 168,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "guess_fails"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "hidden": true,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(0, 10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## Old ranges code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": [
    "ranges = {'omega':list(range(0,N_good)),\n",
    "          'omega_0':N_good,\n",
    "          'L':N_good+1,\n",
    "          'A':list(range(N_good+2, N_good+2 + 1*N_good*N_bands)),\n",
    "          'm':list(range(N_good+2 + 1*N_good*N_bands, N_good+2 + 2*N*N_bands)),\n",
    "          'M':list(range(N_good+2 + 2*N_good*N_bands, N_good+2 + 3*N*N_bands))}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## Some code for a different parallax prior using stars as Gaussians, not points"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hidden": true
   },
   "source": [
    "The Gaussian sum way of doing things (sucks - it doesn't retrieve the shape of the distribution properly, and just spends ages to return a Gaussian centred on the mean distance. I think this would only work if star positional errors were very small. Also it's coded terribly, it takes fucking forever. For loops suck!)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 151,
   "metadata": {
    "hidden": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "299"
     ]
    }
   ],
   "source": [
    "N_points = 300\n",
    "test_r = np.linspace(30000, 70000, num=N_points)\n",
    "\n",
    "a_star = 0\n",
    "likelihood = np.zeros(N_points)\n",
    "\n",
    "# Cycle along the beam\n",
    "r_i = 0\n",
    "for a_r in zip(test_r):\n",
    "    sys.stdout.write('\\r{}'.format(r_i))\n",
    "    sys.stdout.flush()\n",
    "    # Evaluate stars at beam test points\n",
    "    for along, a_weight in zip(distances_along_beam[a_star], star_weights[a_star]):\n",
    "        likelihood[r_i] += norm(along, data_prior['r_sigma'][a_star]).pdf(a_r) * a_weight\n",
    "    r_i += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "hidden": true
   },
   "outputs": [],
   "source": []
  }
 ],
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    "width": "586px"
   },
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Contents",
   "title_sidebar": "Contents",
   "toc_cell": true,
   "toc_position": {
    "height": "calc(100% - 180px)",
    "left": "10px",
    "top": "150px",
    "width": "393px"
   },
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}