{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How does the SFF method work?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vanderburg and Johnson (2014) introduced a method for \"Self Flat Fielding\" by tracking how the lightcurve changes with motion of the spacecraft:\n", "\n", "[A Technique for Extracting Highly Precise Photometry for the Two-Wheeled Kepler Mission](http://adsabs.harvard.edu/abs/2014PASP..126..948V)\n", "\n", "In this notebook we replicate the K2SFF method following the same example source, #60021426, as that in the publication. We aim to demystify the technique, which is extremely popular within the K2 community. We have focused on reproducibility, so that we achieve the same result at the publication.\n", "\n", "The Vanderburg & Johnson 2014 paper uses data from the Kepler two-wheel \"Concept Engineering Test\", predating campaign 0, and sometimes called campaign *\"eng\"* or abbreviated CET. This vestigal \"campaign\" lacks some of the standardization of later K2 campaigns--- it was much shorter, only about 9 days long, it lacks some of the standard quality flags, targets have non-traditional EPIC IDs, and other quirks." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from astropy.io import fits\n", "import pandas as pd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Retrieve the K2SFF data for ENG test source `60021426`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we will retrieve data and inspect the mask used in the paper." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "path = 'http://archive.stsci.edu/hlsps/k2sff/cet/060000000/21426/hlsp_k2sff_k2_lightcurve_060021426-cet_kepler_v1_llc.fits'\n", "vdb_fits = fits.open(path)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `BESTAPER` keyword explains which aperture was chosen as the \"best\" by Vanderburg & Johnson 2014. The FITS header for that slice contains the metadata needed to reproduce the mask." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MASKTYPE : PRF FIT\n", "MASKINDE : 4\n", "NPIXSAP : 29.0\n" ] } ], "source": [ "keys = ['MASKTYPE', 'MASKINDE', 'NPIXSAP']\n", "_ = [print(key, ' : ', vdb_fits['BESTAPER'].header[key]) for key in keys]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want the *exact same* mask as Vanderburg & Johnson 2014, but the publication version and MAST version differ!\n", "\n", "Publication version:\n", "![img](https://www.cfa.harvard.edu/~avanderb/k2/ep60021426image.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MAST Version:\n", "![MAST Version](http://archive.stsci.edu/hlsps/k2sff/cet/060000000/21426/hlsp_k2sff_k2_lightcurve_060021426-cet_kepler_v1_image.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aperture 7 should yield a bigger mask, more similar to what was used in the paper." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "53" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "VDB_J_mask = vdb_fits['PRF_APER_TBL'].data[7,:, :] == True\n", "VDB_J_mask.sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Save the mask for easy use in our next notebook." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "np.save('VDB_J_2014_mask.npy', VDB_J_mask)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Manually reproduce with the Vanderburg-provided diagnostic data\n", "Retrieve the Vanderburg-provided diagnostic data for the Kepler ENG testing. \n", "Uncomment the line below to retrieve the data programmatically, or manually get the linked file in a browser and save it to this directory." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "#! wget https://www.cfa.harvard.edu/~avanderb/k2/ep60021426alldiagnostics.csv" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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BJD - 2454833Raw FluxCorrected FluxX-centroidY-centroidarclengthCorrectionThrusters On
01862.5023680.9951190.99598525.13509724.6610742.3274800.9991301.0
11862.5228010.9973130.99676725.28975224.4186891.1753221.0005481.0
21862.5432350.9967130.99613625.28805224.4294061.2146271.0005800.0
31862.5636680.9969300.99627725.27521624.4484051.3066171.0006560.0
41862.5841020.9968620.99622825.25386424.4801841.4602591.0006360.0
\n", "
" ], "text/plain": [ " BJD - 2454833 Raw Flux Corrected Flux X-centroid Y-centroid \\\n", "0 1862.502368 0.995119 0.995985 25.135097 24.661074 \n", "1 1862.522801 0.997313 0.996767 25.289752 24.418689 \n", "2 1862.543235 0.996713 0.996136 25.288052 24.429406 \n", "3 1862.563668 0.996930 0.996277 25.275216 24.448405 \n", "4 1862.584102 0.996862 0.996228 25.253864 24.480184 \n", "\n", " arclength Correction Thrusters On \n", "0 2.327480 0.999130 1.0 \n", "1 1.175322 1.000548 1.0 \n", "2 1.214627 1.000580 0.0 \n", "3 1.306617 1.000656 0.0 \n", "4 1.460259 1.000636 0.0 " ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv('ep60021426alldiagnostics.csv',index_col=False)\n", "df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can mean-subtract the provided $x-y$ centroids, assigning them column and row identifiers, then rotate the coordinates into their major and minor axes." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "col = df[' X-centroid'].values\n", "col = col - np.mean(col)\n", "row = df[' Y-centroid'].values \n", "row = row - np.mean(row)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def _get_eigen_vectors(centroid_col, centroid_row):\n", " '''get the eigenvalues and eigenvectors given centroid x, y positions'''\n", " centroids = np.array([centroid_col, centroid_row])\n", " eig_val, eig_vec = np.linalg.eigh(np.cov(centroids))\n", " return eig_val, eig_vec" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def _rotate(eig_vec, centroid_col, centroid_row):\n", " '''rotate the centroids into their predominant linear axis'''\n", " centroids = np.array([centroid_col, centroid_row])\n", " return np.dot(eig_vec, centroids)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "eig_val, eig_vec = _get_eigen_vectors(col, row)\n", "v1, v2 = eig_vec" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The major axis is the latter." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "platescale = 4.0 # The Kepler plate scale; has units of arcseconds / pixel" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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Xg0tJqdnRWuM33ngj++23H8uWLSPGWMceSpJqzeBSUmp2pNZ4QWGDT1dXV307KUmqqWkXXIYQ3hFCWBVCWAWckz/92sK5EMJF49g9aVLbXq1xN/hI0tQ3HVMRvQo4edi5F+f/AP4XOLuuPZKmkEIt8c7OTgYHB4vnCxt8GkimyQujmblcjhtuuIHTTjut/p2VJKVu2o1cxhg/GWMMo/y9aLz7KE1mIQSWLFlCQ8PQb9f5QCfVN/hcd9119eugJKmmpuPIpaQaq5SSqAGIQAC2Af0l7e+66y42bdrE7Nmz691VSVLKDC4lpa5aSqJCYDkDuAL4GcnU+ODgIGeeeSYveclLrEMuSZOcwaWk1FVKSdTAUGAJQ1Pjhc0+V199dfEz1iGXpMlr2q25lFR71VISLaJ67stSpimSpMnL4FJS6qqlJPoS1XNfmqZIkqYGg0tJNdHW1kZnZ2dxBLNgeO5LsA65JE0lBpeSaiKEQHt7Oxs3buSKK67gwAMPrNp2tDrkfX19NeylJCltBpeSaiqTyZDNZvntb39bPDd8Cny0OuQ/+tGPrD8uSZOIwaWkmquU97J0Cny0OuQ33nijG3skaRIxuJRUc9XyXpZOgRfWYoIbeyRpMjO4lFRzlfJewsgpcDf2SNLkZ3Apqeay2Sx77LEHMDQF/jmSKj2l3NgjSZOfwaWkmstkMhx77LFl5xYDpzM0Qjkf2B/Ymr8+fFSzubm59h2VJO0yg0tJdTFv3rzi++EjlCeTBJmnA5FkVLN0Y09DQwMLFpSOY0qSJiqDS0l1UTryOHzdJZQHm7+hfMf44OAghx56KMuWLTMtkSRNcAaXkupiqN74TNaxe1nqoasoDzYPoHy3OFhvXJImC4NLSXWRyWR4z3u+AGwAWsvKQJZu8gkMrcU8BdMSSdJkY3ApqeYeeQTe/W740pcWAq8APgG8qKzNOuBRYGb+uAFYiWmJJGmyMbiUVDPbtsGyZfDSl8L115deaSSETxePCuUg+xiaHt9GeaBpWiJJmhwatt9EksZmxgz40Y/gqadGXovxncDRzOcO7iX5MhokSVHUBPST5MEsnDctkSRNDo5cSqqpz3wGdt+92tWLOYqGsp3iTSRrMb9E5Xrjs2bNIpvN1rDHkqRdYXApqaYOOgjOPrva1UO5jiVVy0GWbvopaGlpYfbs2el3VJKUCoNLSTXX0gL77Vf52iOcz3yeO2KEcrjGxkY6Oztpa2urUS8lSWkwuJRUc894Blx4YbWr+/BjukeMUJY6/vjjeeyxx2hvbyeEUJtOSpJSYXApqS5OPBFe//pqV08F5jEf+Lf8X2luyzVr1tS4d5KktLhbXFJdhACXXgpz5yYpisrNYC8u4W4OZ3eS8o4fBF5HMpqZy+U488wzOe+881i7di39/f00NTWRzWbJZDL1/YdIkkblyKWkunnVq2Dx4srX/sJruY73F49nUp7b8uqrr+bggw9m8eLFtLe3s3jxYvbbbz/rjUvSBGNwKamuurqg2mbvT/ApnuCZAGylfOd4JdYbl6SJx+BSUl09+9lJgFlJH88jSxufY2hKvFC9p7AGc/gxWG9ckiYSg0tJdbd4MbziFZWv3c6HWcJLioHlvQzVFz9l2LH1xiVp4jG4lFR3DQ1wySXVru4OrADgaCir3vPuYcfWG5ekicfgUtK4eMMb4N3vrnb1OOBt3AFl1Xu+OuzYeuOSNPEYXEoaNxdeCLNmVbu6gnXsXlZf3HrjkjTxGVxKGjcHHACtrdWuHgx8ZER9ceuNS9LEZnApaVydfTYceGC1q21AlaLkwB577GG9cUmaYAwuJY2rxkb4zGeqXd2L+fO/yznnnMMrX/lKZs6cWXbVOuOSNPFY/lHSuDv+eDjmGLjttpHX1q07mPXrv8/WrfePuFZIog7Q3t5e625KknaAI5eSxl0IcPHFSYqiSrZu/SyFryuTqEvSxGZwKWlCeNnL4Iwzql39W17EIv4N+B4mUZekiczgUtKEcd55sO++la/9mQs4kdkUVl2aRF2SJiaDS0kTxj77wPLlla89znM4j/OLxyZRl6SJaUwbekIIV6bw7G/EGG9K4T6SppCTT4bLL4f77ht57XOczqlcwff5KVdhEnVJmojGulv8A7v43Ag8DBhcSiozYwZceim85jUjr21jJm/gEv5cNiFuEnVJmkh2JRXRCuDiMXwuAA/uwnMlTXGvfjV84AOwatXIa3/mjcAJwA3MmDGDT37yk5x++umsXLmS/v5+mpqayGazZDKZ+nZakgTsWnD5xxjj/47lgyY+lrQ9H//4JlatmgnsXeHqp4Fvsfvukaeeeor999+fXC5XvLp06VJaW1tpa2vz+0aS6mysG3o+Bty6C8/d1c9LmuLuuecGKNnAU+4FwDnkcjl6enrKAksYSq7e1dVV625KkoYZU3AZY/x0jPEHY33orn5e0tTX398PXAo8UKXFx4EXFY9Mri5JE4OpiCRNSE1NTcAW4MNVWjSSTI8nAeW9mFxdkiaCVILLEMLMEMKeFc4vCCFcHELoCSEcmMazJE0P2WyWxsZGYA1wY5VW7wTexNEMLSA3ubokja+0Ri4vAgZCCPsUToQQTgRuA84APgGsCyEckNLzJE1xmUyG1tbW/NFHgM0V2zVyMbfRwGD+2OTqkjS+0goujwS+E2P8U8m584A/AgtJFkc9i+T/EJK0Q9ra2ujs7KSh4RGS37Aj5fhrfsQSDidZc3k4JleXpPGUVnB5APCrwkEI4cXAIcClMcZ/jzFeBPwH8JaUnidpGggh0N7ezoUXXgj0AI9WaXk+63guyxkKLMHk6pI0HtIKLvcGnig5PpykCs+3S879DNg/pedJmkYWLlzIHnsMAmdXabEPyXaeRGNjI52dnbS1tdWje5KkEmkFl78FSjfsvAl4Clhfcu4ZUFwWJUk7LJPJcOyxxwJfBe6q0upUYB4zZszgrLPOMoG6JI2TtILLHwBvDyH8XQjhTSS12dbGGLeUtHkxsDGl50maZubNm5d/t5TA1gotZgCXsG1bpKenh5e//OX8+te/rmMPJUmQXnDZnb/XjSR5Q3YHLihcDCHsDRwF/DCl50maZoZ2fd/Pc/lClVavBd4PwM9+9jMOPvhgjjjiCLZt21aPLkqSSCm4jDH+F/Bq4LP5v9fFGEsDyVeQlHu8No3nSZp+hvJewu9oZyYDFdvtxqeAZxaP77nnHg4++GBijPXopiRNe6lV6Ikx/leM8ez8333Drt0TY/yHGOPtaT1P0vRSnvdygK1U3qyzhefxXto5peTcQw89xJvf/GYGBioHpJKk9Fj+UdKkUch7udtuuwFXAPdXbHc9H+ZjHMKyknO33347z3ve81i2bJmjmJJUQw3bbzJSCGHhWB8YY/zyWD8raXor5L1873vfy0tf+lIGB5cCd45oN8hunMUKvsVxfJOh3JdPP/00HR0dALS3t9et35I0nYSx/IIPIWwjyWNZPDXsuOLHgBhjnLnTD5xEQgjr58yZM2f9+vXbbyxpTGKMvOlNb2Lt2rUkS7lPrNjuJv6ezdzMBuAOhoLMxsZGHnvsMROsS5r25s6dy4YNGzbEGOemdc8xjVxC2XKmgncCf08yjPBdoA9oBt5IUh7yJuDrY3yeJBV1dXXlA0uAjwFvB/Yc0e7DrOCn3MYJbGaQodKQuVyO3t5eFi1aVLc+S9J0MabgMsZ4VelxCOGtJKUdj48xfnNY8/NDCMcD1wOfH1MvJSlvYGCA7u6hajzzeZRGurmLrhFtH+QgVnAWLSynAVjA0OhlX19fXforSdNNWht6zgW+XiGwBCDGeCPwDcBFTpJ2SW9vL7lcDoD5wL3AGi7iQB6s2L6LNh5lPwaBtSXnm5qaat1VSZqW0gouXwn8ajttfkWS71KSxqy/v7/4/miS6ZdGNvNZzqrY/kn24lg+VZwSL3jwwcrBqCRp16QVXD5NEmCO5pXAlu20kaRRlY443gEM5t+/lZvYmzUVP/Nz3sdLOJz5JecuuugiNm3aVLN+StJ0lVZweQfw1hDCv4QQQumFkDgDOA4wibqkXVJaqWcdySadFuD1wBN8mGq/YX/KpdzFjGKAOTg4yJe/bGY0SUpbWsHlOcAm4GLglyGEVSGET4UQVgG/BFYAA/l2kjRm5ZV6kgBzOYUp7weASyp+7j/5W1axiJNLzn3nO9+pWT8labpKq7b4r4HXkIxgvhhYSJIfZGH++HbgtTFGFzlJ2mWFSj2FEcxSc+hkT/orfArO5QL+grktJamW0qwt/qsY45uBA0iSzp2Ufz0gxnhsjHF7G34kaYcUKvVs3LiRk046qXh+PvBDnuCyKpMkj/McLqKzePz000/XuquSNO2kXls8xrgxxnhzjPEr+deNaT9DkiCZIn/JS15SPC7sHj+ZqzisbG/4kN/xz8DLAVi7dq2beiQpZakHl5JUT5V2j88gsoIzqnxiJs/Mr8vcvHkzvb29Ne+jJE0nYy3/OEIIIQOcSjIzNRuoVEM8xhiPTuuZkpTNZlm6dCm5XK64e3wBsJZ1HMyX+FWFarV/5ijgH4GvWalHklKWSnAZQngpST3x5wJhlKYxjedJUkFh93hHRweQ7BovTIifQQuryPJn9q7wyYuAb9Hc3FynnkrS9JDWtPhFwL7Ap0h2h+8WY5xR4a/SaKYk7ZJqu8d/SD/tnF/lUy+goaGNbDZb+w5K0jSSVnB5BPCtGGNrjPHhGOPWlO4rSdtVunt8xYoVNDQkkzLrgOu5lAwPVPnkx/jjH01NJElpSiu4DMDPU7qXJI1JJpPhzDPPLE6RA/yILQywtGL7wcEGstmHGBgYqFcXJWnKSyu4XA8cktK9JGmXjJwmvw34RsW2P/7xgTQ3n8SyZcuI0WXhkrSr0tot3gmsCSEcFWP8bkr3lKQxKUyTL1myhNWrV9PX18fMmZtpb9/C1q27jWi/ZcuFdHS8EoD29vZ6d1eSppSQxi/1EMJC4O+B44FrSUYy/1ipbYzxy7v8wAkshLB+zpw5c9avXz/eXZFUYmBggH33vYKtWytX74EP09j4BR577DFmz3YdpqTpYe7cuWzYsGFDjHFuWvdMa+RyFUmaoUBS9vEkRqYdCvlzUzq4lDQx3XDDDWzdugx4P7B/hRbnk8tdQ29vL4sWLapz7yRp6kgruByZpViSJogYI8uXLweeBM4GrqvQah+gh76+39a1b5I01aQSXMYYr0rjPpJUC62trTz00EP5o6/SxOn0c2SFlv/EU0/dWM+uSdKUY21xSVPawMAAF110UfH4FOAWljKDyul416x5G9u21alzkjQFpRpchhD2DCG8P4Tw6RDCF0MIn8kf75XmcyRpR/X29jI4OAjAfGAlMIf7+SBfqNh+/foGrr66fv2TpKkmrTWXhBDeClwFZCivLx6Bz4YQTokx3pzW8yRpR/T39xffHw0UatAuo53rOJFNZEZ85oMf3MT//M8VvOhFGbLZLJnMyDaSpMpSGbkMIcwBVgPPAr4CnAocl3/9Sv78DSGE1La5S9KOaGpqKr6/AxjMv5/NAG+lreJnNm+eTXf3DBYvXsx+++1ngnVJ2glpTYufSzJCeUSMcWGMcVWMcU3+dSHw+vz11pSeJ0k7JJvNMmNG8lW3DlhO8mU0A/gSVzCb+6t88sPAIeRyOTo6Oujq6qpLfyVpsksruDwC+FqM8QeVLsYYfwjckG8nSXWTyWQ44IADiseHMbRuZze28hnOqPLJ3diHFcWj7u5uNm3aVLN+StJUkVZwuQ/wm+20eQTYO6XnSdIOa25uLr6/j/IKDydzNydybcXP/Ym38Ff8HQC5XI7e3t4a9lKSpoa0gsvHSDZijmYeYHZiSXX32te+tvj+Scp3HAbgU3ycPflLxc/+nhXAHgD09fXVrI+SNFWkFVzeAiwIIZwTQphZeiGEMCOE8FHgTfl2klRXf/3Xf118X7qpB5JRzBfwKK10V/zsHzkIOAsoHwGVJFUW0tgBGUJoBtYDzSTT33eTjFI2k2zmeRHQB8yLMU7p0csQwvo5c+bMWb9+/Xh3RVLewMAAzc3NbNmyBUimWXqANzI0ipljD/6an/MQL65wh78wc+ah/P73P2b27Nn16bQk1cHcuXPZsGHDhhhjajdEgbUAACAASURBVBl9Uhm5jDH2AYcDtwMvBN4PfAw4CTgwf/71Uz2wlDQxZTIZ2tvbi8frgC2UT483spnP5kcoR9qLbdt6athDSZo6UqvQE2N8OMZ4LHAA8HaSwPLtwAExxmNjjA+NegNJqqHTTz+97HgjQxt7Cq9v5ybezJqKn4/xPfT03FOz/knSVJF6bfEY48YY480xxq/kXzem/QxJ2lmrV68uvp8PnMzQyGUAtuZfP82HaWBLxXtcffVhbK1cklySlJdWhZ7nhhCODCE8s8r1vfPXn5PG8yRpZ1UrAwmwDTgNaAE+wwP8C5dUvEdfXzMrV9awk5I0BaQ1ctkG3EzyHV3JVuCbJN/dklR31cpAbgUWAV8iqd7zM2B/Onkm/cNvAcC558LAQE27KkmTWlrB5THArTHGioni8udvBY5N6XmStFOy2SyNjY1AsqHncJJfu68jCSwhmS6/F/goT/AZzql4n4EB6OioeXcladJKK7g8APj1dto8mG8nSXWXyWRobW0tHhfqjK/LH88HOoGG/PGpXMXz+GHFe11+OfzkJ7XrqyRNZmkFlxHYfTttdqd8mZMk1VVbWxsLFiwYcb4wYnksQzvHA5G3V6k7vm0bLF0KKaQJlqQpJ63g8r8ZZco7hBDy13+V0vMkaadt2rSJ733ve8Xj+SRT4yczNGJZuoP8c9zHc7iy4r3uvBO+9rXa9VWSJqu0gssbgJeGEC4LIcwqvZA/vgw4BPhqSs+TpJ3W29tLLpcDhkYru4HFVN6NOAN4Dy3Anyre7+yz4S+VS5JL0rSVVnB5CfAT4J+BX4YQrgkhXBhCuAb4Zf78T4AVKT1Pknba8HREhdHKBmA1yc5xGJoaHwR+yO+A8yve7ze/gU99qhY9laTJK63yj08BR5GMTDYDJwIfzb82A9cAb8y3k6RxUS0d0SBwIcnO8Rbgn/Kvh1PY8HMZ8EDFe/7rv8KDD9aow5I0CYWY8or0EMJzgcOAZwF/BNbFGP+Q6kMmsBDC+jlz5sxZv379eHdF0jADAwPst99+ZVPjC4C1DO0ar+4YkoxqI73jHfD1r6fWTUmqm7lz57Jhw4YNMca5ad2zFuUffx9jvCXGeE3+ddoElpImtu2lIxrdbcA3Kl75xjfg1spxpyRNO6kHlyGEl4YQ/iGEcFLa95akXdXW1kZnZ2cxofr2FHaUzwfgI0CuYrszz4QtlUuSS9K0klpwGUJ4VQjhRyTV024AVpVce0MI4ckQwt+n9TxJGosQAu3t7WzcuJEVK1bQ0NBQvFYeSJbvKL8XmM9DwEUV7/vAA3DZZbXsuSRNDqkElyGElwDfJUk3dDHwH8Oa3AUMACek8TxJ2lWZTIY999yTwcFkW8/IQHLkjvIk/XoP8GjFe37yk9BfuSS5JE0baY1cnkdSgWd+jPEjwH2lF2Oya+j7JBt9JGlCGC010QKgj6H8l1tJNv7Ak8DZFe/3xBNQsqRTkqaltILLo4HVMcZfjNLmEeD5KT1PknbZaKmJ+oGVDH1JlufV+CrJhMxIV14J63Zsh5AkTUlpBZfPoto8Ufmztld/XJLqJpvNFjf2rCPJa1nIb9kMzCxp20BSJnLIGQylXS+3dGlSf1ySpqO0gsvfAQdvp82hwG9Sep4k7bLRUhPdwciSkPtSuuHnJ8DnK973hz+Eq69OvbuSNCmkFVyuBf4+hHBIpYshhMNIps7XpPQ8SUpFtdRE60g29xSmwyPwD5Rv+IEO4PGK9/3EJ5I1mJI03aQVXPaQLFO6K4Twz+TXVoYQDs0ffxP4M9VyeEjSOClNTbRy5Upe+MIXFq89CYRCO4amyYd2jg8AbRXv298Py5bVqNOSNIGlVVv8v4EsyZrKy4BFJN/FPwH+LX/+nTHGR9J4niSlLZPJsGjRorJp8uGbfAorLLcCB1AYvbwC+M+K91yxIsl/KUnTSWpJ1GOM3wYOJClhcT1wO7Aa+BhwcIxxbVrPkqRaOeGEE9hjjz2AkZt8TgN+QDJFfjqF6fFtwNKK9xocTCr3xFjxsiRNSamWf4wx/jHGeHGM8T0xxjfHGP8xxvjpGONAms+RpFrJZDKce+65xePCJh9IxihfQ6XE6ncD11a83623wje/WZu+StJElHpt8eFCCLNDCHvV+jmSlJbCJp8ZM4a+Ik9mKKgsGKSQWB3g4+y229MV73fWWZCrXJJckqactMo/Hh1C+NcQwuySc/uGEO4E/gAMhBA+k8azJKnWCpt8jj322NHblR09ypYtnRXbPfggfMZvQEnTRFojl2eQbNjZVHLuIuAI4FckuTrODCG8K6XnSVJNxRh5+umhkcirGJkyfSaFafGCi4AHK97vggvg0e2VmpCkKSCt4PKVwD2FgxDCLOAE4LYY4yHAISQJ1D+U0vMkqaa6urq44447ys7FCq9/RWli9c3AWRXv9+ST8PGP16CjkjTBpBVc7gs8VnL8aqARWAUQY/wzcDNJkClJE9rAwADd3d3F4/nAxQytuSzNfXkKSWL17wFfAy7jJvauUi/i2mvh7rtr1GlJmiDSCi43A7NKjo8g+VF/V8m5J4BMSs+TpJrp7e0ll9+BM58kcHxNyfXSzEKFQHMmyXTNEuB7nElgS8V7n3EGbK1cklySpoS0gsuHKF96lAV+GWPcWHLuAJLNPZI0ofX39xffH81QZZ6C9YycIi91KP/NYVxc8d733w8rV6bQSUmaoNIKLq8CXh5C+GEI4W7g5cA1w9rMAf47pedJUs00NTUV399B+UaeQZLcl6VT48NLj20DttIJ9FW8/7nnwoDZfyVNUWkFl5cD1wHzSApZ3Ax8qnAxhDAfeBnw3ZSeJ0k1k81maWxsBJJA8nXA5/J/h5P8mi4tC/lJygPQALyCPwPnVLz/wAB0dNSg45I0AaRVW3xLjPG9wGxgnxjj8THGzSVNHgT+Frg0jedJUi1lMpmyGuPrSNZSLsm/H14W8meU57wMQJJ37cvADys+4/LLkylySZpq0i7/+ER+Z/jw83+IMd4fY/xTms+TpFppa2vj/PPPp6FheF2eRKEs5DqSdZmlX6YRuL747oyKn9+2DZYute64pKknrQo9c0MIHSGEpirXm/PXX5XG8ySp1kIIdHR00N/fz4oVKzj++OM5/vjjOe6444pT5gV9VN7Yk7gPuLLilbvuguuvT7HTkjQBhJjCz+YQwjXA64EXxgo3DCEE4GHgzhjjwl1+4AQWQlg/Z86cOevXrx/vrkiqkYGBAV7zmtfwy1/+Ekimx7uHtfkBcCbJqOa32Zcf8z/APiPutf/+8MADsNdete2zJFUyd+5cNmzYsCHGODete6Y1Lf5a4DuVAkuA/Pm1JMuTJGnSe/jhh4vv+xhZGnI+8H2SoHMdv+MAzq94n0cfheXLa9NHSRoPaQWXzcD2quY+BjwvpedJ0rjp7e1ly5YkSfp84AqSXJjbStrMYOgLtgE4kcuAX1S834UXwoOVS5JL0qSTVnD5JPDc7bR5LkklH0ma1IYnWS9s+ZlBeYBZsA24ky0kE+Ujbd4MH/1oun2UpPGSVnD5n8DxIYRnVLoYQtgbOD7fTpImteFJ1ktzXq4e1jYCq0h2lcNtwDcq3vMb34Bbb021m5I0LtIKLq8gGZm8LYTwitILIYRXArcCz8m3k6RJbXiS9dKclw8wsvb4m0imzxMfAXIV73vmmbClcklySZo00kqi/lWSbMGvBn4cQngshHBfCOExYAPJ9+qXY4zXpvE8SRpPlZKsF/bktFCeUB3gBcC9FALMh4ALK973gQfgssvS7ask1VtqSdRjjB8APgT8nGSDz9z868+AxTHGU9J6liSNt7a2Njo7O8uSrB9NsrGnkgbg5OLRcuA3Fdt98pNQsqRTkiadtCv0XBFjfDnwDGB/4BkxxlfEGP9fms+RpPEWQqC9vZ0LLxwahSxdf7mNkSk05lAYvXwSOLvifZ94AkoGRSVp0kmrQs+VIYSzCscxxidjjI/FGJ9M4/6SNFEtXLiwOHq5DlhMEljOIMm9Vsh/GYHXAN8D/g04jOuBOyve88orYd26mnZbkmomrZHL9wL7pnQvSZo0MpkMRx55ZPG4maEv1pkMrb8MJedOJwky/4aljEy/njjjDPjDHwZYuXIlXV1drFy5koGBgRr8CyQpXWkFlw9jcClpmnr3u99dfD98arzal2wD8Hf8BPh8xevr1kFz88dYvHgx7e3tLF68mP32249ly5aRRtleSaqVtILLa4DjQgizU7qfJE0aJ5xwQsXURIsYmVS9EBYOktTEhQ7g8Yr33br1AmDv4nEul6Ojo4Ourq7U+i5JaUsruOwBfgR8J4TwdyGEpu19QJKmimqpiX5WoW0EbqA06e8A0Fblzs00004LpXkyobu7m02bNu1iryWpNtIKLnPA24BXADcCj4UQtlb4Gxz9NpI0OVVLTTT8S3YG8E6SdZffB5IcbVdQrYDZHziThRxSkiczGcHs7e1Ns/uSlJqG7TfZIXdTXpRCkqaVQmqiZz7zmZx1VpI8o7D+soHkCzKQbN8p5MKcAawEFrONTpbyH9w14r6D7MaZXMy3eQsLKJSRhL6+vpr+eyRprFIJLmOMR6VxH0ma7BYuXEhLSwu5XK64/nIB0A/MA44E/qak/UySFEXf4m7exDWs5b0j7nkrx/IN/p61fLN4rrm5uYb/Ckkau1STqEvSdDfa+svFJIFlpWmeAFzFx9mTv1S873v4LOvYA4BZs2aRzWbT7bgkpWRaBpchhP3zid8fCyFsDiE8HEJY4W53SWmotv6ycDS89njB/mzkXC6oeG0zBwEfAaClpYXZs/26kjQxhTTzpYUQnkfyHbof5H9il4sxxmWpPXAMQggHkeQv3pdk89EDJOvk3wj8N3B4jLFyXpAdu//6OXPmzFm/fn0a3ZU0ia1YsaK4/nI+cC/l6y8rybEHB/Az/sBBFa4+zd57/y2bNv0XM2ZMy7EBSSmbO3cuGzZs2BBjnJvWPVP7dgohnE+STP0qoBs4D/hk/rXw/pNpPW8XfI4ksFwaY3xHjPGcGOMC4LPAIVBl2ECSdtLChQtH5L9cQ/XAEmB3NjObs6pefeKJK/mXf/mXdDsqSSlKq7b4+4B2kl3jJ1BYPpSUhVxJkkf4OpJ17eMmhPBi4M0kQfC/Dbt8HvAX4KQQwl517pqkKajS+ssOhir4VFt7eSbf5G/4dpW7vprLL99Ga2urlXokTUhpjVz+M/Ao8JYY49fz5x6OMV4XY/wQ8HfAuygtNTE+CsHtrTHGssIZMcY/k8xa7UmyeXNUIYT1lf6Al6bea0mTVltbG+ecc07xeHsjmAFYAnyJcwkj6vsUXEpPz5f5yEc+knZ3JWmXpRVcvhy4JcZYmiS9kMqNGOMaku/Sj6X0vLE6JP/6P1Wu/zL/+pI69EXSNBBCoKenh5aWluK57Y1g/pKDOZkvE6t+Re8G3MmKFZdy5JFHsm1btSBUkuovreByN8qL4z4F7DOszU+BV6b0vLEq9OlPVa4Xzj9rezeKMc6t9EeyQUiSylxwwQU7NIJ5C8dxGPfxcw7dzh1zwFbuvvtujjnmmNT7K0ljlVZw+VvgeSXHj5CUgiy1H0M/1Ceqwne8C5kkpWp7I5gRuIAW/o6b+dMov28DWzmNHk4u+Ypdu3YtDz74YM36Lkk7I63yjz8mmRovWAssDiGcBKwGjgKyJGsax1NhZHL4qGrB3sPaSVKqLrggSUjR09MDJAHma9iLWaziHk4Y9bPN/JbbWcChPEAkGR34Uv5aNpvlxz/+cc36LUk7Kq2Ry5uBQ0MIB+aPl5MEaKuAJ4CbSEYF21J63lj9d/612prKv8q/VluTKUm7JIRAd3d3yRT5QaznB9sNLN/JDTzMizg0v/ImkFT8Kbj//vsZGBioSZ8laWekElzGGFfFGPeMMT6UP/4NcBhwOXArcAVwWIzxB2k8bxd8J//65hBC2b89hPBMkiVQTwHj3U9JU1x3dzfveteVwH2UVxsvtxtPczkf4gb+kT14umzNzmEkydkBYoyceuqpteuwJO2gtKbFR8gHmhMq02+M8dchhFtJcl0uAS4tuXw+sBfwhRhj5eK+kpSCGGH58sDXvnbKqO2a6KOXLIfzveK50s0/M4GTSabWAb71rW+xadMmS0NKGlfTsX7Y6cDvgEtCCN8IIfSEENYCZ5FMh587rr2TNKX93//Bu94Fra1JkFnNXvyApczlNSWBJYzcbbiYodHLwcFBent70+yuJO20MQWXIYR9Qwh7jvWhu/r5XRFj/DUwj2Q96KuBjwIHAZcAr92VuuKSNJpf/xpe+1q44Ybttfwif+ENnMtj3DnsSiTJ61bQQHnps8suu4zW1lZWrlzpGkxJ42KsI5e/Bc7ehef+liSoGxcxxt/EGE+JMT4vxrh7jPGFMcYzY4x+E0uqiTVrYN48+OlPq7dpaIi8/OWfBxYBTzOfJNVGqRnA/wFb88dbSdJzFNx///309PSwePFinv/857Ns2TLLREqqq7GuuaxUtWxnP7+r95CkCS9G+Nd/TabBRyuks+++cMMNgTvv/AP/9V/JuaMZOQIQSerTxpLjajZv3kxHRwdPPfUUBx54IP39/TQ1NZHNZslkMmP9J0nSqHZlQ88HQghHjfGz/oyWNOX95S9w6qlw/fWjtzvsMFi9GvbfHx54oKl4/g6SBOsNwDbg5wztKy/8Om8gqat7IUkw2gc05z9b2OhTyKlZsHTpUlpbW2lrayMEf+dLSteuBJcvyv9JkoZ58EF4xzsojkJWc8op8LnPQWNjcpzNZlm6dCm5XK5YInIBQ1Pf9zLyi/sf8n8zSX65B5Kg9HCGAsxSuVyOjo4OANrb23f63yZJoxnTmssY44wU/jrT/sdI0kRw663J+srRAsuGBrjsMvjiF4cCS4BMJkNra2vxeB1JVYp1DNUjX0v59M/M/B+Uj2iWbvSZD7QwtLMcklybmzZt2pl/miRt13RMRSRJNVFYX3nccTBazLbvvnDHHbBkCVSalW5ra6Ozs5PG0qizxBsoX7ReaZ1R6Uaf+SQjnt3510KAmcvlTF0kKXUGl5KUgr/8Bd7zHvjEJ0bfuDNvHvzoR3DkkdXbhBBob29n48aNrFy5kgULhsYgj2ZolBKStZjbWzV5NENT6cNHNPv6+rbzaUnaOTWr0CNJ08VDDyXrK3/yk9HbnXwyfP7z5dPgo8lkMixatIgYI2vXJuOQpZt8tgJXAR9g5EjBTJKNPhtINvkUPjNIeeqi5ubmHeuMJO0gRy4laRfcfnsyGjlaYDlzJlxyCXzpSzseWJbKZrPFKfLCussW4DRgIdW/yLMkU+FXkFTyaaF8k8+sWbPIZrM73yFJGoXBpSSNQYxw0UVw7LEwWiGc5z43WV95xhmV11fuiGqbfJoZffqpdHNPE0MbgwpaWlqsQy4pdU6LS9JOevJJWLQIrr129HZz5yb5K1/wgl1/ZltbGwCdnZ0MDg4CI6fIA8mIQSEdUcE2yqfCARoaGogxEmM016WkVDlyKUk74aGH4HWv235guXAh3H13OoElDG3yeeCBB9htt92A8iny1wGvzb+/gKHykNuAVYzMdzk4OMh5553Hueeem04HJSnP4FKSdtAddyTrK++/v3qbmTPh4oth1SqYNSv9Phx00EFlic+H58FcDrQDPSQjmDOAU/J/lXJd9vT00Nraav1xSalJfVo8hLAX8CzKs2UUxRgfSfuZklRLMcJnPwsf+9joaYae8xz42tfgqKNq25/CFPkFF1zA5s2bi+fnk6QdugM4jKGp8UCyoWceQzvGSzf29PT0MGvWLKv1SEpFaiOXIYSTQgg/BZ4AHgEeqvD3YFrPk6R6ePJJeP/74aMfHT2wnDMH1q+vfWAJQ1Pky5cvL54bnih9I0PJ1SOwD+W5LjuxWo+k2khl5DKE8AHgSpJlPncDvyH5cSxJk9bDD8M//AP853+O3u7974crrqjNNPhofve73xXfD0+Uvh/lI5cvLflcBI7Nf6YwgpnL5bjhhhs47bTTatxrSVNdWtPiZwObgNfHGH+R0j0ladysXQvvehc8/nj1NjNnwqc/DUuXjj3N0K549NFHi+/7GNolHoGnKd81Xtq94fXHC9Pj1113ncGlpF2W1rT4wcANBpaSJrvC+so3v3n0wPI5z4HbboMzzxyfwBJg//33L75vpjyQPIQdqz/eX3L83e9+lwcfdPWSpF2TVnA5AORSupckjYunnoKTToKPfAS2bq3e7m//NqkP/sY31q9vlRx44IHF94Wcl+Rfr6d8zeXNDKUnKpyfSVK9p7D2ctu2bRxyyCEsW7bM3eOSxiyt4PJm4KhgJl5Jk9T//i8cfjh85Sujt3vf++Cee+CFL6xPv0aTzWbZY489gPKcl4eTpCP6J+Db+df7GfrCL/2iLkyNFwwODtLR0UFXV1dtOy9pykoruGwB9gA+H0J4Rkr3lKS6+M53kvyVP/5x9TYzZ8JnPgNXXw177lm/vo0mk8mUJUEvzXkJ8CXgPJIp84WUB5UFgyRT48PzX7p7XNJYpbWh52vAk8Ai4L0hhF8Cf6zQLsYYj07pmZK0S2KESy5J0gyNNg3+7GfD9dfDggXV24yXQs7L7u5ucrny1UmF9ESF8pClG37WkwShPyKZGh+e/9Ld45LGKq2Ry6OAV5F8b+2Vf39UlT9JGndPPQUnnwwf/vDogeWrXpWsr5yIgSUM5bzcuHEjK1eu5Oijh36/l6Ynmgl8B/gfkvKQS4BHGUqsDiOnyP/93/+9xr2XNBWlMnIZY7SMpKRJ45FH4J3vTJKej+Y974H/9/8mzjT4aDKZDIsWLSLGyB133AEMbfIpjEq2kIxKngJ8n2R0YfiI5l4l97z33nvZtGkTs2fPrtu/Q9LkZ1AoaVq5885kfeVogeWMGXDRRcnmnskQWJbKZrM0NjYCIzf5rCOZKl/J0Jf/TMpTGLUytPZy69at9Pb21qfjkqYMg0tJ00JhfeXRR8Pvf1+9XSYDa9Yk6zAnY/6LTCZDa2tr8Xj4Jp+jSQLKgm2U58CcQfnUuHkvJe2sVIPLEMKJIYTbQwiPhxAGQwgDIYTbQggnpvkcSdoZuRycckqS8Hy09ZWvfGWyvvJNb6pf32qhra2Nzs7O4ghmqdJ8mFuB71K+i3wbsLbk+KKLLjLvpaSdkkpwGRJXA18h+dG7N/B74JkkP5S/EkK4Jo1nSdLO+M1v4Igj4KqrRm934olw771Qkpd80hq+yaelpYWGhmSJfelU+WnAG0o+t5Uk5ce6knNbtmwx76WknZLWyOUHgfcBG4A3AY0xxucBjfnj9cC7QwgfSul5krRdd90Fc+cmo5HVzJgBF14I11wDe+1Vvd1kVNjk093dTUdHR/F8Yaq8mfIp8i+Q5Macj3kvJY1dWsHlqcDDwJExxrUxxq0AMcatMca1JD+OHyYpFCFJNRUjXHbZ9tdXzp4N3/42nH325FxfuTMKU+WFEUwYWTLyKoZyY3bnXwsBZi6Xc3OPpB2SVnD518DXY4xPVbqYP/8N4GUpPU+SKsrl4NRT4YwzYHCweruXvzwZ0TzmmPr1bTwVpsofeOABdtttN6DybvLS3JjD815ee+21rr2UtF1pBZeFNGmjmeLjApLG26OPwpFHwqpVo7d717vg+9+HF7+4Lt2aUA466CCOOOKI4vHw3eR3kKy9JP9aurln7dq1ZTvRJamStILLXwDvDCHMqnQxf/4dwM9Tep4klbn77mR95X33VW8zYwZ86lNw3XVTb33ljhoYGODee+8tHldaXxlLXk8edm358uW0trY6gimpqrSCyyuBFwB3hRCODiE0AIQQZoYQ3khSdeyF+XaSlJoY4XOfS8oz/u531dvNng3/8R/w8Y9P/fWVo+nt7WXz5s1A5fWVw6fFT6d87SVAT0+Pu8clVZVWcPkF4FpgLnAr8FQIoR/IAbeTfC99Lcb4+ZSeJ0nkcrBoESxZsv31lffdB29+c/36NlH19/cX31daX1m6yYeSa524e1zSjkkluIyJ95GkI1oL/AnI5F/XAu+LMZpIXVJqNm6EN7wBrtzOfMg//iN873tw0EH16ddE19TUVHw/fLf4WuBQ4H8pr9oTgWNx97ikHZNqhZ4Y47UxxmNijM+JMe6Wfz0mxnhtms+RNL3dc0+yvnLduuptQoDly+GrX4VnPKN+fZvoqtUeXwx8DPgicBDlOzAL74fvHu/r66t1dyVNQtYWlzRpxAiXXw5vfCOUzO6O8KxnwS23wCc+Mb3XV1ZSqfb4WuAK4AQqp/XYln8tjG4WNDc316iXkiYzg0tJk8LmzXDaaXD66aOvrzz00GR95VveUr++TTZtbW0sWDA0Blm69rKSDZTnwgSYNWsW2Wy2Zn2UNHmNKbgMIWwLIQyGEF5Scrx1B/5G+V+CJFVWWF/5xS+O3u6EE+AHP4CDD65PvyarEAInnji0DL507eVW4M/D2s8hGbEsXYVwzDHHmI5IUkVjHbm8C7gbeLLkeEf+7t6Vzkqafu69F+bNgx/+sHqbEKC7G66/3vWVO6rS2svPkWzeeSblG3pmUL7WEuCmm27i+c9/PsuWLTPIlFRmtJmQqmKMR412LElp+MIXkjKOW7ZUb/OsZ8E118Bxx9WvX1NBYe1lR0cHMLL0YyBZazmDkWstCzZv3lz8fHt7e627LGmScM2lpAln82ZYvBg+9KHRA8vC+koDy7Fpa2vj7W9/e/F4eGqiRQyttST//hRGVvQx56WkUqkElyGEB0MIS7fTZkkI4cE0nqf/3969x8ddlgn//1y02KCiNrimUlQQFVx9PLTYVdBVDh4eH6Wu8biiKFZ2pfsruusjtk0CtCHioiurj4elKgeFBZeUgwdcF0vxgFppRdcDroooUhLF1ANICmnv3x/3d5JJMknb5JuZHD7v12teM/Ode75zZWbaXLkP1y3NXtu359XgGzaM/5fDewAAIABJREFU3+6Vr8z7gzu/cuIiggsvvJAFCxYAw0sTHQNcSN53HIZ28vkkw3f0AWteShqurJ7LQ4FH7KHNI8hbQEpSTd/8Zq5f+c1vjt0mAjo74cor4cAD6xfbbNXc3MzatWsH728hJ5TVi3dGDpfD6JqXGzdupLOzkw0bNtDX1zeFEUua7uo5LP5Q4P46vp6kGeSCC/KK8PHqcj/84fC5z8HatdavLFNbWxvr1q0bXOAzUvVweaq6ri41et1119He3s6pp57K4sWLXegjzWETWtADEBGPHXHoETWOAcwDHkuuz+uwuKRhdu6EVatycjmeJz8ZrrkGnvjE+sQ1l0QE7e3trFy5ko0bN9LT08OBBx7IGWecwc6dOweHy/8VeHblOcBR5KHzkfr7+13oI81hMdG/LCNiN0N/xAbDK1fUfArwjyml8yf0gjNERGxdsmTJkq1btzY6FGnau+suaG0dfxgc4G/+Bi6+2GHwelu+fDnXXnstkOdX3kTuLagYYKiw+jLy8PlXGBpSb2pqYvv27SxcuLBuMUvaN0uXLmXbtm3bUkpLyzrnhHsugUvICWUAbwK+D9xSo90u4HfAV1JKX57E60maRb75zZxY3nXX2G0iYN06WLMG9rO2Rd0dddRRg8nl8QxPLCH/Ajm5uP2N4n51wllZ6LNixYr6BCxpWphwcplSenPldkS8CbgqpbSujKAkzW6f+ETexnG8MkMPexhceim87GX1i0vDVe8dXpl3OfKXxqnF9fyq6+MY6r3sGW8SraRZqZS+gJTSfiaWkvbk/vvh7W/Pe4SPl1geeSRs2WJi2Witra3sV3QZbwFqTYudT94ecldxf2TB9eoEVdLc4ECTpLro6YHjjoOPf3z8dsuX560ejziiPnFp793MUBJZvWr82cX1RxkaEgc44IADaG1trWuMkhpvQsPiEfEp8v8la1JKvcX9vZFSSm+dyGtKmrm+/e1c9Hz79vHbnX02tLU5v3K66O7uZvfu3UBesHMBed7lbuAiYDHw4qLtfOAOhtfHXL16tYt5pDloonMu30xOLt9HLnX25r18XgJMLqU55JOfzPMr7x+nyu3DHgaf+Qy8/OX1i0t71ts7VMmyupD6fuSFPG+rOr4beMiI5/f19ZFSIixKKs0pE00uDyuu7xxxX5KAnEy+4x3wsY+N3+6II3L9SofBp5+WlpbB218hJ5CVTuV5QAt5N5+1xfG15GLGldqX559/Ps3Nzda6lOaYCQ0+pZR+WVwGRtzf46Xc8CVNRz09cPzxe04sTzzR+ZXTWWtrK/vvvz+Qh7tXMHzhTi/wGoa2hAzgPQztOQ7Q1dXFjh076hKvpOnBmU2SSrVlCxx1FHz96+O3O+ssuOqqvKWjpqfm5mbe9a53Dd6/EDgaWE0uQXQB8CSGL+55ErnmZSXBrNS6lDR3lJJcRsQzI+K0iHh41bGHRMTFEfH7iNgeEaeX8VqSpq8LL4TnPQ/uvHPsNgceCFdfDWee6cKdmeCcc87huOOOG7y/hTwUvoiheVUB3M1QD2al1mXFBz7wAX73u99NfbCSpoWy/ms/A1ibUvpD1bH3Am8sXuMg4F8i4kUlvZ6kaeSBB+Af/gFOOWX8hTtPelLu2Vy+vH6xaXIiguuvv573vOc9zJs3tEdPpag6xfW7R9yvrnV56623smjRItavX89EtxyWNHOUlVweBWyu3ImI/cmLCbcAjyIv+LkbWFXS60maJnp78/zKj3xk/HYve1lOLI88sj5xqTwRwXvf+15+8pOfMH9+7q/cQq5pubq4vrDq/qnkVeTVcy8HBgbo6Oigs7OzrrFLqr+ykstHkUucVRwFHAj8W0qpP6W0HbgGeFpJrydpGvjOd/L8yq99bfx2HR15RbjzK2e2ww8/nI6OjsH7lSHyLVX3N5HnYnYBNwEfwQU+0lxTVnKZGF7W6LnFsRurjv0W+IuSXk9Sg110UZ5f+etfj93moQ/Ni3bOPtv5lbPFaaedNth7CTlxXM1QAlldD3MecBou8JHmmonWuRzpV+QdwCqWA79OKd1WdexgwD9XpRnugQfgn/4JPvzh8ds98Yl54c5f/mV94lJ9bNy4kYGBPLtyGTlxnE+eZ3kMQ3Mxq3+5VBb4VHo4b7ut+leDpNmmrL6EzwJHR8SVEfEZ4DnAlSPaPBX4eUmvJ6kBfvMbOOGEPSeW/+f/5PmVJpazz1i79lQnkMeQ9xkfa4HP+973PtatW+fiHmmWKqvn8oPAS4BXFvdvAdZVHoyIvwSWkqfhSJqBbr457w9+xx3jt2trcxh8Nhu5a0+ll7I6gdxSXC4mJ5ybGL7n+O7duznzzDOJCHfvkWahKPMvx4h4anHzRyml3VXHDwWeDtycUhqnAt7MFxFblyxZsmTr1q2NDkUqzSWXwKmnws6dY7d56EPh4otzAqrZq6+vj8WLF9Pf3w/kofFaCWS1ZeTyIZATzkq7efPm8Zvf/Ibm5uYpjFjSeJYuXcq2bdu2pZSWlnXOUvsWUko/KC67Rxy/PaV0zWxPLKXZ5oEH4PTT4eSTx08sn/CEvI2jieXs19zczJo1awbvj1wxDsN7N5eRV42fxujFPbt27eKUU06Z4ogl1VtZw+KDIuK5wDOBRwB/ALallPawEZyk6ea3v4VXvxpuvHH8di99KVx6KTziEfWJS43X1tYG5LJClR5MgKamJtasWcPmzZsH52YeT141XjGfoSLIAF/4whfYsWMHCxcurEfokuqgtGHxiFgCfAY4onKIoS1nfwK8KaV0cykvNo05LK7ZYOtW+Ju/2fP8yrVr8/zKefPGb6fZqa+vj40bN9LT08OiRYtobW0lpURLS8vgivK3AJ9g+DDZLvIe5ZUEc8OGDaxYsaKusUvKpmJYvJSey4h4AnnKzcOArxe37wIeDRwLPA/4r4hYllL6aRmvKWlqfPrTeX5lVYfUKA95SJ5f2dpav7g0/TQ3N49KCjds2DCsVNEF5MRyN0MJ5jyGlyb6xS9+UY9wJdVJWcPi7cBDgdemlP5jxGNnRcSrgMuBNobmdUuaRgYG4P/+Xzj//PHbHX54rl/51KeO305z01ilivYjD2VVhrR6q57z6/Eq8UuaccpKLk8Arq6RWAKQUroyIq4p2kmaZn77W3jta+GGG8Zv95KXwGWXgdPjNJaxShXtYmjuZQAtVc855JBD6hWepDooa7X4I4Fb99Dm1qKdpGlk27a8P/ieEsvVq+Hznzex1PhaW1tpamoChgqqX8nwXzYji6r/4Ac/sKC6NIuUlVz+FtjTXhxHAneX9HqSSnDppXDMMfCrX43d5iEPgf/4D+jqcuGO9qxWqaIDyb2VFTczvHTRtddeS2dnZ30ClDTlykouNwEnRsTraj0YEa3k/cavL+n1JE3CwAD84z/CSSeNv3Dn8Y+Hb30LXvWq+sWmma+trY2nP/3pg/evYKh0SCIPk3+EoXqXAOeccw47duyoW4ySpk5ZyeU64F7g0oj4WkSsi4i3R8TZEXEjee/xewD/NJUa7O674cUvhg9+cPx2L34xfOc7LtzRvosIuru7B+9fCJxDXjEewFGMLqi+c+dOrrzyyjpHKmkqlLKgJ6X0s4g4AbiEPMXmGIYWBkKuc3myZYikxrrlFnjFK+CXvxy/3XveA52dDoNr7/X19dHd3U1vby8tLS20trZy2GGHDZYZ+jOjezPmM7wk0eWXX87b3va2+gUtaUqUtkNPSuk7wJMj4mhgCfBw8g49300pfaOs15E0Mf/+7/DWt8J9943d5sEPhgsvhNe8pn5xaWZLKdHZ2Tlqt55Vq1ZxwgknDCaX1SvHK3YzvCTRjTfeyG233cbjH//4OkQuaaqUvv1jSukm8laykqaBgYHcE/mBD4zf7rDDcv3Kpz2tPnFpdujs7KSjo2PU8f7+fj7/+c8zb948du3aNbhy/GTy6s7nk0sTXQD8kNx7uWvXLo444ghe+tKXctRRRw3u+tPc3Fy/H0jSpJU153JQROwfEU+LiOcV1/uX/RqS9s7vfpdrU+4psXzRi+Dmm00stW/6+vro6uoavL8MWM3whToRQ+vEtwArySs7KzMuKkPjFQMDA1x77bV0dHRw6qmnsnjxYtavX2+pImkGKS25jIiDImID8Hvgu8Dm4vr3EbEhIqxxKdXR976X61d+5Svjt3v3u+GLXwQ7h7Svuru7B4fCl5EX6HQxfKHOwMAAJ5544rAkszJETnHdy+iktKK/v5+Ojg5LFUkzSCnJZUS0AN8G3grcD3yVvEL8q8X9twLfKtpJmmKXXw7PeQ7cfvvYbR784Nzufe9z4Y4mZqytHkf2Rj7rWc/ipz/9KfPn5xaVIfLVwKnkofHqpLRWD2hXV5eliqQZoqyeyy7g8cD5wONSSsemlF6fUjoWeBzwr8Xj55T0epJqGBjIPZGvf/34C3cOPRRuuilv+ShNVK2tHmH0DjyLFi3i8MMPHzY3cwtwLrCI4UnpydTuAe3v7x9W3kjS9FVWcvky4GsppX9MKf2x+oGU0h9TSu8k/z/x8pJeT1INt98OH/3o+G1OOCHPr6yqcS1NSK2tHlcX15XyQgcccACtra1ALq6+bt069t9/aCr+yKQUxu4B7enpKf+HkFS6spLLA4Gv76HN14CHlvR6kmp4whPgoovGfvxd74LrroODDqpbSJrFam31eC7Dt3ZcvXo1C4sN6SOC9vZ2fvzjH9ccIj8GuJjxe0AlTX9lJZe3Ao/eQ5tHk4upS5pCr3oVrF49/NgBB8Bll8F558H80guQaS6r9EZWejArmpqaWLduHW1tbaOeM9YQ+VPI272dy/g9oJKmtyijvENEnAx8FHhOSun7NR5/BnlY/O0ppUsm/YLTWERsXbJkyZKtW7c2OhTNYbt2wctfnnspDz0UrroKnvGMRkel2ayvr4+NGzfS09MzWJ+y0mNZS0qJZz7zmXzve98D4C3AJ8nbuiXyKtALq9ofd9xxvO51r7PupVSypUuXsm3btm0ppaVlnbOsPoxfAP8FbImIS8irxHuBFnKt3DcC1wG3R8RfVz8xpfTVkmKQVJg3Dy69NA+Dv+998EgLgWmKNTc3s2LFir1uHxE8suqL+VqG9gsO4DUMTy43bdrEpk2bWLVqFWvWrKGtrW1YeSNJ00dZyeVmhvYSX0H+o7Oi8q//xOIykkVQpCmwcCF88pONjkIa28EHHzx4+wrgRQz1XN5DXim+ZcRzKnUvAdrb2+sSp6R9U9aw+Fnk/w/2WUrp7EkHMI04LC5Je2fr1q0cddRRg/fXA28CDib3fAyQ511CrqP5FYaSzaamJrZv3z7u0LukPZu2w+IppbPKOI8kae7Ytm3b4O1lwHsY/ktpPvAfwGLyEFcl2dzCUN3LfRmKl1Qfpe8tLknS3hhrh5+KBDyWsfchv+2226YyPEkTZHIpSWqIsXb42cXQJP5qI+tevv/972f9+vWUMb1LUnlMLiVJDTHWDj//xujEcjd5H/LqBT4PPPAAHR0ddHZ21iFaSXvL5FKS1BBj7fBTvUtPxX7k2nbLyAnosqrHurq62LFjx9QGK2mvmVxKkhqmssPPggULBo9VejE/yvCtIHvJu3F0FdeVBLO/v58rr7yybjFLGt+Ek8uIcJ9wSdKkVPYb3759O8uXLx88vgVYyfB9xxcxtOhn5OKeyy+/vD4BS9qjyfRcfi8inlNaJJKkOau5uZmrrrqKdevWMX/+0LrxylD5FqCHvNgH8hzM3qrnb968mb6+vnqFK2kck0kuHwt8NSLWRYS77EiSJqXSi9nT08Py5cvZb7+hX1HLgAvIZYkS+ZfXBQwNje/evZtTTjml3iFLqmEyyeXRwG3AWuCmiHhCOSFJkuaygw46iKuvvpozzjhj8Fh1HczKSvL5wMlVz/vCF77gwh5pGphwcplS+g7wDPIfj88CvhsRp5YVmCRpbjvssMMGb1fXwayuavl3DPVeDgwMuLBHmgYmtVo8pXRfSuntwMuAe4GPRcQ1EXFERDy21qWUqCVJs95YdTC7q9rMw4U90nRTSimilNIXgacAXyInmj8CflHj4l5dkqS9MlYdzPMY6sUcubDnxhtvdGhcarAy61w+rbgE+d/6r2pc7ijx9SRJs1ylDmb1CnIYmnc5cmHPrl276O7uRlLjzN9zk/FFxP7Ae4F3kP+YPAN4f3KzV0nSJFVWkN933328973vBfLinuoSJZWal5WtIXt6euobpKRhJpVcRsRTgEvJPZY/At6QUvpeGYFJklQxcnHPLoYSzAFgU1XbAw88kA0bNtDb20tLSwutra00NzfXL1hpjouJdjBGxOnkHssFwP8D3p1S2llibDNSRGxdsmTJkq1btzY6FEmaNfr6+li8eDH9/f1AHgavlCG6mKFey3nz5jF//nx27hz6dbRgwQLWrl1LW1sbEYGkIUuXLmXbtm3bUkpLyzrnZOZcfhDYAfzvlNLpJpaSpKlSa3HPyuKypardrl27hiWWADt37qSjo4P169fXI1RpzptMcnkV8L9SSl8uKxhJksbS1tbG2WefPWpxDzCqR3IZuWzRsqpj69evdyW5VAeTKaLemlJyI1dJUl1EBB0dHfT29vLBD36QI488cnCLyOopXsuAbwBdxXV1kfVLLrmkzlFLc0+ZpYgkSZpyzc3N/OlPf+LWW29l9+7dox4/maHVqiO3iLzhhhvqEKE0t5lcSpJmlL6+Prq6ugbv1xoCl9Q4k65zKUlSPXV3dw9bNf4N8i+zXcC/AX3knXv2K45dXPXcY489tq6xSnORyaUkaUbp7R3a8PF4hn6RzQNOAxJ5B59dwNsYWk0eEaSU6Ovrs+6lNIUcFpckzSgtLS2Dt7/C0D7jFZV14/OAlqrjKSXe+c53snjxYtavX48byUlTw+RSkjSjtLa20tTUBOReyWOAjzKUZFZSxpE791T09/fT0dFBZ2fnVIcqzUkml5KkGWWsgurHkBf2vLW4PoahIfFai366urqseylNAedcSpJmnLa2NgDWrVvHwEDus9zC8N16KqoX/QwwlHT29/dz5ZVX8ra3va0eIUtzhj2XkqQZJyJob2+np6eH5cuX19y1p6J60c984Liqx/7lX/6Fvj73A5HKZM+lJGnGOuigg7j66qvp6+tj48aN3Hbbbdx5551s376d66+/HsiLfnaRF/jsBnqrnn/rrbfS0tLCu971Lrq6ukZtIylp35lcSpJmvObmZlasWDF4//zzzx9MLmFokc9+wAbghwwNoQ8MDHDuueeyZcsWrr/+ehNMaZIcFpckzTr33HPP4O3qYXHIPZgnM3qBz6ZNm1i7dm1d4pNmM5NLSdKsM14tzF3AqUAXcBPwlqrHzjvvPFeQS5NkcilJmnVaW1tZsGABMLwW5kfJW0RW7+rzCYZ6MAcGBnjLW95igXVpEkwuJUmzTnNz87Ah7kotzJXkvcZ3VbXdj+EryK+55hoLrEuTYHIpSZqV2traOPvss0eVKdpC3nN8d3F/AHgMFliXymJyKUmalSKCjo4Oent7Of/883nUox41+NgPGVpBPg84jVxovZJg9vf3093dXdd4pdnC5FKSNKs1Nzdz+umn89a3vnXw2PHkpBKgUnhoZIH1np6e+gQozTIml5KkOeHXv/714O0ehnouK9cDwKaq9osWLapPYNIsY3IpSZoTDjnkkMHbixjqsQzgSwztOQ5wwAEH0NraWtf4pNnC5FKSNCccdthhg7era18OAGcylFgCvPCFL7QckTRBJpeSpFmvr6+Pe++9l3nz8kzLSu3L1Qzvsay49tprWbx4MevXrzfJlPaRe4tLkmatlBKdnZ10dXXR398/7LFKQnn8iPsV/f39dHR0ANDe3j6lcUqziT2XkqRZq7Ozk46OjlGJJeSyQ98gbwNZKUO0jNF7jlvzUto3JpeSpFmpr6+Prq6uwfsjE8fjGRq+mw+czOhkE6x5Ke0rh8UlSbNSd3f3YI9lpZdyPnkBzzEMLeqpHIPhyeZxDA2VV9e87Ovro7u7m97eXlpaWmhtbaW5uXmKfxpp5jC5lCTNSr29vYO3R/ZSHgecS04yj2OovuWpDCWbI2tejjV/c9WqVaxZs4a2tjYiAmmuM7mUJM1KLS0tg7dH9lJWEsctDF/IU51sjqx5WZm/OZILf6ThnHMpSZqVWltbaWpqAvZceqhiC7lHs/rx1atXk1Iad/4muPBHqjC5lCTNSs3NzaxZs2bwfq3Ecfny5axbt47ly5ezYMGCYc9vampi3bp1tLW11Zy/6cIfqTaHxSVJs1ZbWxvAqHmSTU1No+ZJ9vX1sXHjRnp6eli0aBGtra0sXLgQ2PP8zVoLf6S5yuRSkjRrRQTt7e2sXLlyzMSxorm5mRUrVtQ8z97M3wS4+eabSSm5sEdzWritVbkiYuuSJUuWbN26tdGhSJJK0tfXx+LFi4cNjY9c+FOxbt06F/Zoxli6dCnbtm3bllJaWtY5nXMpSdIejDV/E0Yv7DnnnHNc2KM5zeRSkqS90NbWxoknnjh4f6yFPTt37uQNb3gDjgxqrjK5lCRpL0QEz3rWswbv11rYU3HddddxwgknmGBqTjK5lCRpL9Va2ENx/RiGD49v2rSJtWvX1i84aZowuZQkaS8dd9xQ/+QW8naR3wICOA34JvCWqvbnnXee8y8155hcSpK0lzZtGio8tAy4AHg2MK84th+wgaEezIGBAQura86ZU8llROwfEadHxIURcUtE3B8RKSJqFzaTJKnKWMXUq81j+PxLC6trrplrRdQfApxf3O4FesjTZCRJ2qOxiqnvKo7NY3Rh9UWLFtUrPGlamFM9l8CfgZcCB6eUFgGfanA8kqQZpLW1laamJiDPuTyGXOfy6OKyujhWKax+wAEH0Nra2oBIpcaZU8llSun+lNJ1KaW7Gh2LJGnmGauY+pYRtytWr149aptJababa8PikiRNSltbGwBdXV2D20GO1NTUxJo1awbbSnOJyeUERcRYm4cfWddAJEl1FRG0t7ezcuVKNm7cSE9PDwceeCAAf/rTn1i0aBGtra32WGrOMrmUJGkCmpubWbHCYiPSSDMuuYyI24HH7cNTLk0pnVR2HCmlpbWOFz2aS8p+PUmSpJlgxiWXwM+B2pNcats+VYFIkiRpuBmXXKaUjm90DJIkSaptxiWXkiTNVH19fXR3d9Pb20tLSwutra00Nzc3OiypVCaXkiRNsZQSnZ2do8oXrVq1arBkUUQ0MEKpPHMuuYyI9zBULugZxfVbIuK5xe2vp5Q+Uf/IJEmzVWdnJx0dHaOO9/f3Dx5vb2+vd1jSlJhTO/QUXgKcXFyeXhw7uurYc8d4niRJ+6yvr4+urq7B+8vI20Quq2qzbt06brvttnqHJk2JOZdcppRekFKKcS5vbnSMkqTZo7u7e3AofBnwDaCruK4kmAMDAxx55JGsX7+elFJjApVKMueSS0mS6qm3t3fw9vEMzUebDxxX1e6BBx6go6ODE044gQ0bNtDX11fHKKXymFxKkjSFWlpaBm9/BRgobg8AvYweIt+0aROnnnoqBx98sD2ZmpFMLiVJmkKtra00NTUBsAU4hpxQngpcwOgh8oqdO3fS0dHB+vXr6xitNHkml5IkTaHm5mbWrFkzeH8LcC6wiNFD5LUW+6xfv54dO3bUJ1ipBCaXkiRNsba2NtatW8f8+UMVAGsNkY+12OeSSy6pY7TS5JhcSpI0xSKC9vZ2br31Vvbff39g+BD5McBRDO/JPLnq+TfccEMdo5Umx+RSkqQ6Ofzww4cVS68MkW9pWERS+UwuJUmqo8oQeWWRT8XFwK7i9q7ifsWxxx5bp+ikyTO5lCSpjipD5HfeeSfnn38+++2XfxVvIW8Xt7q4rvRmzp8/nze96U2NCVaagDm3t7gkSdNBc3Mzp59+On/4wx8488wzgZxQjhwib29vZ+HChXWPT5ook0tJkhqovb2diKCrq2twm0iApqYm1qxZQ1tbWwOjk/adyaUkSQ1UGSZfuXIlGzdupKenh0WLFtHa2lqzx7Kvr4/u7m56e3tpaWmhtbWV5ubmBkQu1WZyKUnSNNDc3MyKFSvGfDylRGdn56gezlWrVg32cEZEPUKVxmVyKUnSDNDZ2UlHR8eo4/39/YPHq8scSY3ianFJkqa5vr4+urq6Bu/X2iayq6vLbSI1LZhcSpI0zXV3dw8OhS+j9jaR/f39XHnllY0JUKpicilJ0jTX29s7ePt4hm8TeVxVu8svv7yOUUm1mVxKkjTNtbS0DN7+CjBQ3N4N9Fa1++pXv+rQuBrO5FKSpGmutbWV/fffH8hF1k8lbxG5H3ABQ0PjAwMDdHd3NyRGqcLkUpKkaa65uZlnP/vZg/cXAfOK2yOHxn/xi1/UMTJpNEsRSZI0AzzucY/ja1/7GgA9QAKiuK4eGv/5z3/Ohg0bLLKuhjG5lCRpBnjMYx4zeHsRObGkuG6patfd3c0VV1wxeN8i66o3h8UlSZoBDjvssMHb1Yt6BoBNVe0GBgaoVimy3tnZOdUhSoDJpSRJM0JraysLFiwA8qKeY8iF1I8p7lezyLoayeRSkqQZoLm5mbVr1w7e3wKcS+3Ecqwi664kVz2YXEqSNEO0tbWxbt06mpqahh2fP39oCcV4RdZ7enqmOkTJBT2SJM0UEUF7ezsrV65k48aN9PT0sGjRIu655x7e+c53AkPzMeczej7mokWL6h+05hyTS0mSZpjm5mZWrFgxeL+vr4/Vq1fT398/OB/zOHJiWRk2P+CAA2htba1/sJpzHBaXJGmGa25uZs2aNYP3a83HXL16NQsXLqx3aJqD7LmUJGkWaGtrA/Kq8P7+/sHjTU1Ng3UupXowuZQkaRYYaz5ma2urPZaqK5NLSZJmkVrzMd0OUvVkcilJ0iyUUqKzs3PUMLnbQWqqmVxKkjQLdXZ20tHRMep4ZTtIgPb29nqHpTnA1eKSJM0ZwUI3AAAWvElEQVQyfX19dHV1Dd53O0jVk8mlJEmzTHd39+BQuNtBqt5MLiVJmmV6e3sHb7sdpOrN5FKSpFmmpaVl8HZlO0hwO0jVh8mlJEmzTGtrK01NTQCD20GuLq7dDlJTzeRSkqRZxu0g1UiWIpIkaRZyO0g1ismlJEmzkNtBqlFMLiVJmsVGbgcpTTXnXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0JpeSJEkqjcmlJEmSSmNyKUmSpNKYXEqSJKk0cyq5jIgnRsQZEbEpIu6IiPsjojciromIYxsdnyRJ0kw3v9EB1Nl64LXAj4AvAn3AEcCJwIkRcXpK6UMNjE+SJGlGm2vJ5ZeA96WUvlt9MCKeD/wXcF5E/EdK6a6GRCdJkjTDzalh8ZTSRSMTy+L4jcBm4EHA0fWOS5IkabaYU8nlHjxQXA80NApJkqQZLFJKjY6h4SLiccBPgF3AISmlHXvxnK1jPPT0Aw44YN6Tn/zkMkOUJEkq3Y9//GPuu+++vpTSQWWdc67NuRwlIhYAlwILgHfvTWK5B/vdd999u7Zt2/a9yUenWe7I4vrWhkahmcLvi/aW3xXti6cDDy3zhDMuuYyI24HH7cNTLk0pnTTGueYBnwaOAa4A3r+3J00pLR3jnFvHe1yq8LuifeH3RXvL74r2xTgjsRM245JL4OdA/z60317rYJFYfgZ4NfBZ4KTkHAFJkqRJmXHJZUrp+MmeIyLmA5eRE8vLgDellHZN9rySJElz3YxLLicrIh5E7qlcDlwCvCWltLuxUUmSJM0Oc6oUUbF45ypyYvlJTCwlSZJKNdd6Lj8OvBS4G7gT6IiIkW02p5Q21zkuSZKkWWFO1bmMiM3A8/fQ7OyU0llTH40kSdLsM6eSS0mSJE2tOTXnUpIkSVPL5FKSJEmlMbmUJElSaUwuJUmSVBqTS0mSJJXG5FKSJEmlMbmcQhHxxIg4IyI2RcQdEXF/RPRGxDURcWyj49P0EhH7R8TpEXFhRNxSfF9SRKxodGxqnIg4JCI+FRHbI2JnRNweEedHxMJGx6bpIyJeFREfjoivRcQfi/87PtPouDT9RMRBEbEiIq6KiJ9FxH0R8YeI+HpEvDUiJp0bWudyCkXE5cBrgR8BXwf6gCOAE4F5wOkppQ81LkJNJxHxCGBHcbcXuB94DPC2lNInGhaYGiYiDgduAh4FXAPcCiwDjgV+AhyTUvpd4yLUdBERtwBPB+4Bfg0cCVyaUjqpoYFp2omIvwc+BtwF3AD8CmgBXgk8HOgGXp0mkSDaczm1vgQsSSk9JaX0dyml1SmlVwLHAw8A50XEoxsboqaRP5O3Jz04pbQI+FSD41HjfZScWK5KKb0ipfSelNJxwAfJf6ie09DoNJ28E3gS8DDg7Q2ORdPb/5A7uQ5JKb2hyE1OIf9BcgfQSk40J8zkcgqllC5KKX23xvEbgc3Ag4Cj6x2XpqeU0v0ppetSSnc1OhY1XkQ8HngRcDvwkREPnwncC7wxIh5S59A0DaWUbkgp/XQyvU2aG1JKm1JKn0sp7R5xvAf4eHH3BZN5DZPLxnmguB5oaBSSpqvjiusv1/gl8CfgG8CDgWfXOzBJs1YpuYnJZQNExOPIQ+N/Br7a4HAkTU9HFNf/M8bjPy2un1SHWCTNchExH3hTcfdLkznX/MmHo30REQuAS4EFwLtTSjv28BRJc9PDi+s/jPF45fgj6hCLpNnvXOCpwBdTSv85mRPZc7kHRdmPtA+XMUs/RMQ84NPAMcAVwPvr9XOoPsr8vkh7EMW1c+wkTUpErAL+iVyR4o2TPZ89l3v2c6B/H9pvr3WwSCw/A7wa+CxwkhOvZ6VSvi8SQz2TDx/j8YeNaCdJ+ywiVgL/Si6beHxKqW+y5zS53IOU0vGTPUcxj+EycmJ5GfCmlNKuyZ5X008Z3xep8JPieqw5lU8srseakylJ44qId5BLm/2AnFj+pozzOiw+xSLiQcCV5MTyEuCNJpaS9sINxfWLRu6YEREHkqfX3Ad8q96BSZr5IuIMcmJ5C3BsWYklmFxOqWLxzlXAcuCTwFtGlhSRpFpSSj8HvgwcCqwc8fDZwEOAS1JK99Y5NEkzXES0kxfwbCX3WN5d6vmd9jd1IuJC4M3A3eSdNmq92ZtTSpvrGJamsYh4D3mXBIBnkLdzu4mhsjNfdyvIuaPG9o8/Bv6KvP3j/wBHu/2jACLiFcAriruLgBcDtwFfK47dnVJ6VyNi0/QSEScDFwG7gA9Te9727Smliyb6Gs65nFqHFdePBDrGabd56kPRDPES4Pkjjh3N8J2cTC7niJTSzyPiKGAd+bvxUvJ+wB8Czi5j4r1mjWcAJ4849vjiAvBLwORSMJSbzAPeMUabG8kJ6ITYcylJkqTSOOdSkiRJpTG5lCRJUmlMLiVJklQak0tJkiSVxuRSkiRJpTG5lCRJUmlMLiVJklQak0tJkiSVxuRSkiRJpTG5lCRJUmlMLiVJklQak0tJM1JEXBQRKSIO3YfnvKB4zllTFtg+ioizipgql483OiaNFhG3R8Ttk3j+PSM+50NLC06aZkwupVkqIlYUv8SuG6fNF4o2p9UztqkSEYcWP89FjY5lAi4GzgY+3+hANCW6yJ/v9xodiDTV5jc6AElTI6X0iYh4OXBiRKxMKX2k+vGIeDvwUuC6lNJHGxLk5KwGzgXu3IfnbAGeDNw9JRFNzkUppc2NDkJTI6XUBfkPIODpDQ1GmmL2XEqz29uA3wL/HBFHVA5GxJOA9wO/A05pUGyTklK6K6V0a0rpgX14zp+L50zH5FKSZgWTS2kWSyn9hpxgPhj4TETMj4j5wGeKY6emlHr29nzFkPPmiDg4Ij4dEb+JiPsiYmtE/O0Yz9kvIv4+Ir5TzDu7t7j99ogY9X9QRDwvIj4XEb+OiJ0R0RMR34qIM0e0GzbnsphH+Yvi4ZNHzG97c9FmzDmXEfHEiLgkIu6MiPsjYntx/4k12lbmSb4gIl4VEVsi4s8R0RcRl0fE4r19T/ckIp4UEedGxM0R8dviPfllRFwQEYfUaD/4M0bEsmLqQ9/IeX4RcUhEfCgifhoR/UWbLRHRPuJ8T4uIfy/mHO4sYtgWEedHxP4j2s6PiNOKz+uPxXvy3Yj4h1qfdfGcZRFxRfG+74yIuyLiyxHxmhptXxMRX42IPxTfu/+OiNURsaBG29uLy4Mj4ryI+FVx/p9FxBkRETWeE0WsPyzekzsj4v9FxMPHiP1BEbGqeD92FD/v7RFxTUScUOs50lzgsLg0y6WUromIT5F7KDuKw88iD8NunMApFwI3Ab8HLgQeAbwGuDQiFqeUzhvR/tPA3wJ3AJ8AEvA3wEeB5wJvqDSMiJcAXwD+CFxLHvJuJg9ln0aeszaWzUUsp5PntV1d9dgt4/1AEfEs4HrgwOJ1fwQcWcS2PCKOTyndXOOppwEnFs+5Efgr4LXA0yPiGSmlneO97l56JfD3wA3k9/1+4CnACuDlEXFUSqnW1IDnkKcOfB34FPDI4rlExFHAf5Lf268CG8l/bPwlcBawvmj3NODb5M/sWnLy/jDgCcXP3gY8ULTdH/gc8GLgJ8BlQD9wLPDh4r15Y3WAEfE24GPAruL8PwUeBRxVnP+zVW27ip/n7uLc9wD/mzyX8cUR8cIavdj7A18GDgauAwaAV5CnUzQx+vt0PrAKuAu4oPjZlhexP6jy/lW5CHg98APgEuC+4rWeC7yE/J2S5p6UkhcvXmb5hZw03Ub+5TpAThIOnMB5UnH5LLBf1fHDgD7yL9/HVx1/fdF+G/DQquMPAW4uHvvbquPdxbGn13jtR464f1HR9tCqY4cWxy4aI/4XFI+fVXUsgB8Xx98wov1ri+O3jvh5zyqO/xH4XyOec1nx2Gv28j2tnOsFYzy+GFhQ4/iLyEnZx8b4GRPwdzWe96Di8x/23lc9/piq2x8o2i2v0W7hGO/Jh4F5VcfnAZ8ceR5yIvtA8b15So3zH1J1+znF838FLKo6Pp+c0CZgzYjn314c/yJwQNXxR5H/MPo9sH/V8aOL9j8DmquONwHfLB67ver4w4Hdxfd4Xo34Dxrj8xz1vfXiZbZdHBaX5oCU0p+AdeRf9POAtxfHJmIXcEZKaXfV+X8BfIjcU1TdO1WZz/melNI9Ve3vBc4o7q6o8Rr31fgZpmqe5NHkXspvppQuHfGaV5B7/o4g90aN9KGU0n+POLahuF5WRnAppTtTjR7QlNKXgR+SewpruSWl9G81jr+cnIRfm1K6rMZ576jxnFqfx47Kd6AY8v4HoAd4Z0ppV1W7XcA/USTvVad4Ozk5XJ9S+mGN8/+66m7le9SZqqZxpJQGinPvpvb3CGBVSum+quf8BriGnBweUdXuLcX1OSmlvqr2/eQe01Ehkv8w2Vm8/sj4fzdGPNKs57C4NAdExAEMJXMArwa+NMHT/apIJkfaDJwJPLPq2BLyL97NNdrfSE5Uq9tfSh4G/nZEXEEeCv7GiESjbEuK601jPL6JnFg+kzyEXK3WUHklOVs4+dDyPEByUvZm8irjheQ/ECpGDtVWbBnj+LOL6zFLVFW5gjzN4OqIuJI8zPuNlNLPR7R7EnAQeVi7rcZ0RsgJ6pMnGMeYn1FK6X8i4tfAYRHxiJTS76se/kNK6Wc1zlfrM6q8xo012n+N3ONf/bp/jIjPkZP1WyKiu2j37ZTSn/f4E0mzmMmlNDf8M7l37l+B5wOnRMTVKaXPTeBcvWMcr/QoVS9+eDjQl1IalQCllAYi4m7yMGXl2MaIeBm5N+oU4O8AImIrsDql9F8TiHdPKvHeNcbjleOPqPHY72scqyQh82o8NhH/AryjiOM/yfNQKz1xbwYeN8bzxlqoVfk59ljCKaW0JSKeB6wFXkXRKx0RPwHOTin9e9H0oOL6ieQ/MMby0InEwd59Ro8t2lV/JrU+H6j9GVVeY9T3O6W0KyJq9US+lvxH298yNH+zv0jE35VSGuvfijSrOSwuzXIR8SJgJfDf5F+EbyQP5W2IiEdO4JQtYxxfVFz/oerYH4DmkauKi7jmkxeZ/LH6eErpCyml48i9SscDHyQvYPl8RPzlBOLdk0q8i8Z4/NEj2tVNRDyKvMDkB8ARKaWTUkpnpJTOSimdRf4cx5LGOF5JuPZqRXtK6ZsppZeRP49jyIt9WoDLqlZEV96bq1JKMc7lsAnGUY/PqPLcUd/viJjHUAI9KKV0X/FZPImc3J5EnkZxEnDlJGKRZjSTS2kWi4hm8oruB4CTUko7U0o/ANrJv0QnstXgY6P21nUvKK6/W3Xsu+T/Z/66Rvu/Jvccbav1Iimle1NKm1JK/0heEfwg8urg8VTm+u1Lr2El3heM8XjleM04p9jjye/fl0fOkS3KED1+Auf8VnG9p/dymOK7c1NKqYOc8EJeSQ15wdPvgWfX+kOihDjG/Iwi4gnAIcAvRgyJ76vK5/v8Go89jz2M9KWU7ijm7L6YPD3guRExKiGV5gKTS2l2+xi5NEpbSun7Vcc/QJ4f1hoRJ+3jOecB76uuWxgRh5ETjgFyDc2KTxXX742IB1e1fzC5HAzklcSV48cX80NHqvQm7Wku2w5yj91j9+LnqPgGuXTOcyPiVdUPFPf/Gvgfco9Uvd1eXD+36D2rxPVQ8sKhiUxt+lxx3hMj4vUjH4yqGp2Ra47WqvE47PMoFtZ8mNyD+KFan2FEPHpEz/PHyN+X9lo90jG8hmfle9QWEX9R1WYeeTOA/aj6Hk3QRcX12uKPssprNAHvrRHfX0TEX9U4z0PI1RkGGHs+rDSrOedSmqUi4o3k+pNfJSeTg1JKuyPiZOD7wIcjYvM+LJr5Prnu39aI+DJ5rtpryXPo3l292COldFlELC/i+GFEXE1O/l5BLl/02RErtD8AHBoRm8kJ0P3AUuA44JfA5eMFllK6JyK+DTwvIi4lJ4W7yCujvz/Gc1LxXvwXcEVEXEPuiTuiiPNPwJuqV8fXS0qpJyIuB15HXjRSeb9fSK4heQvwjH085/0R8Wpy/cfLIuLvyL2ITeQFN8cz9Lvhn4AXFZ/HbeTakk8h9zbuINeCrFhPXnD09+T6m5vI8ykfRZ6LeQx57uaPijh+FHlP+48D3y3e95+Sh5+PIr/vxxZtb4qIfwbeDfygmNN4bxHHU8mJ/8j6qvskpfSNiPgw8P9VvUalzuUORs/3XAx8KyJ+TO71vINcA/Rl5OH7D02iIoM0szW6FpIXL17Kv5B77n5Pnkf2uHHarSAne18GYi/Om8grvw8m91D+hpzkbKNGzcTiOfuRC2LfTO7p+jOwlTwPdL8RbV8D/Ds5ybiHPB/zB8A5wF+MaHsRNeoFkgt8f468teXuos2bi8dewIg6l1XPO4Jc8P0uclJxV/EzHlGj7VmMUZuSPdTa3JdzFY8/uPj5f1a813cAHyEnYZvzf+PD2o/5M9b4jnyUXPPy/uL9+jawtqrNi8jTKn5UfJfuJffyfqjW94pcmueNwFcYqnt6Jzn5W0NVDc2q5zyHXN/0N0X77eRKBq+q0fZ1xbn+VLwXPyQnrE012t5OVV3KvXnPi/j/gVz3dGcRy0fICf2w85H/mOogr2C/s2h/V/GZvJ4x/j1hnUsvc+ASKY0151uShouIBNyYUnpBo2OZLSJvRXkmcGxKaXNjo9FUi4iLgJOBw1JKtzc2GmlqOOdSkqaHGyLv/z2RRVaa5iLinuKPs5MbHYs01ZxzKUmNtXnE/VqF2TXzVSoeVExmZbs0rTksLmmvOSwuSdoTk0tJkiSVxjmXkiRJKo3JpSRJkkpjcilJkqTSmFxKkiSpNCaXkiRJKo3JpSRJkkpjcilJkqTSmFxKkiSpNCaXkiRJKo3JpSRJkkpjcilJkqTSmFxKkiSpNCaXkiRJKs3/D0/sfkysnLlPAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "image/png": { "height": 374, "width": 331 } }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5, 6))\n", "plt.plot(col * platescale, row * platescale, 'ko', ms=4)\n", "plt.plot(col * platescale, row * platescale, 'ro', ms=1)\n", "plt.xticks([-2, -1,0, 1, 2])\n", "plt.yticks([-2, -1,0, 1, 2])\n", "plt.xlabel('X position [arcseconds]')\n", "plt.ylabel('Y position [arcseconds]')\n", "plt.xlim(-2, 2)\n", "plt.ylim(-2, 2)\n", "plt.plot([0, v1[0]], [0, v1[1]], color='blue', lw=3)\n", "plt.plot([0, v2[0]], [0, v2[1]], color='blue', lw=3);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Following the form of **Figure 2** of Vanderburg & Johsnon 2014." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "rot_colp, rot_rowp = _rotate(eig_vec, col, row) #units in pixels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can rotate into the new reference frame." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 374, "width": 331 } }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5, 6))\n", "plt.plot(rot_rowp * platescale, rot_colp * platescale, 'ko', ms=4)\n", "plt.plot(rot_rowp * platescale, rot_colp * platescale, 'ro', ms=1)\n", "plt.xticks([-2, -1,0, 1, 2])\n", "plt.yticks([-2, -1,0, 1, 2])\n", "plt.xlabel(\"X' position [arcseconds]\")\n", "plt.ylabel(\"Y' position [arcseconds]\")\n", "plt.xlim(-2, 2)\n", "plt.ylim(-2, 2)\n", "plt.plot([0, 1], [0, 0], color='blue')\n", "plt.plot([0, 0], [0, 1], color='blue');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need to calculate the arclength using:\n", "\\begin{equation}s= \\int_{x'_0}^{x'_1}\\sqrt{1+\\left( \\frac{dy'_p}{dx'}\\right)^2} dx'\\end{equation}\n", "\n", "where $x^\\prime_0$ is the transformed $x$ coordinate of the point with the smallest $x^\\prime$ position, and $y^\\prime_p$ is the best--fit polynomial function." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fit a $5^{th}$ order polynomial to the rotated coordinates." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "z = np.polyfit(rot_rowp, rot_colp, 5)\n", "p5 = np.poly1d(z)\n", "p5_deriv = p5.deriv()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "x0_prime = np.min(rot_rowp)\n", "xmax_prime = np.max(rot_rowp)\n", "x_dense = np.linspace(x0_prime, xmax_prime, 2000)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 277, "width": 406 } }, "output_type": "display_data" } ], "source": [ "plt.plot(rot_rowp, rot_colp, '.')\n", "plt.plot(x_dense, p5(x_dense))\n", "plt.ylabel('Position along minor axis (pixels)')\n", "plt.xlabel('Position along major axis (pixels)')\n", "plt.title('Performance of polynomial regression')\n", "plt.ylim(-0.1, 0.1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see evidence for a [bias-variance tradeoff](https://en.wikipedia.org/wiki/Bias%E2%80%93variance_tradeoff), suggesting some modest opportunity for improvement." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "@np.vectorize\n", "def arclength(x):\n", " '''Input x1_prime, get out arclength'''\n", " gi = x_dense " ] }, "metadata": { "image/png": { "height": 263, "width": 275 } }, "output_type": "display_data" } ], "source": [ "aspect_ratio = plt.figaspect(1)\n", "plt.figure(figsize=aspect_ratio)\n", "plt.plot(df[' arclength'], arclength(rot_rowp)*4.0, '.')\n", "plt.xlabel('$s$ (Vanderburg & Johnson 2014)')\n", "plt.ylabel('$s$ (This work)')\n", "plt.plot([0, 4], [0, 4], 'k--');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yes, we compute arclength correctly." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we apply a **high-pass filter** to the raw lightcurve data. We follow the original paper by using *BSplines* with 1.5 day breakpoints. You can also apply data exclusion at this stage." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "from scipy.interpolate import BSpline\n", "from scipy import interpolate" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "times, raw_fluxes = df['BJD - 2454833'].values, df[' Raw Flux'].values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We find the weighted least square spline for a given set of knots, $t$. We supply interior knots as knots on the ends are added automatically, as stated in the `interpolate.splrep()` docstring." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "interior_knots = np.arange(times[0]+1.5, times[0]+6, 1.5)\n", "t,c,k = interpolate.splrep(times, raw_fluxes, s=0, task=-1, t=interior_knots)\n", "bspl = BSpline(t,c,k)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 263, "width": 398 } }, "output_type": "display_data" } ], "source": [ "plt.plot(times, raw_fluxes, '.')\n", "plt.plot(times, bspl(times))\n", "plt.xlabel('$t$ (days)')\n", "plt.ylabel('Raw Flux');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Spline fit looks good, so we can normalize the flux by the long-term trend. \n", "Plot the normalized flux versus arclength to see the position-dependent flux." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "fluxes = raw_fluxes/bspl(times)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mask the data by keeping only the good samples." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "bi = df[' Thrusters On'].values == 1.0\n", "gi = df[' Thrusters On'].values == 0.0\n", "clean_fluxes = fluxes[gi]\n", "al = arclength(rot_rowp[gi]) * platescale" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "sorted_inds = np.argsort(al)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will follow the paper by interpolating **flux versus arclength position** in 15 bins of means, which is a *piecewise linear fit*." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "knots = np.array([np.min(al)]+ \n", " [np.median(splt) for splt in np.array_split(al[sorted_inds], 15)]+\n", " [np.max(al)])" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "bin_means = np.array([clean_fluxes[sorted_inds][0]]+\n", " [np.mean(splt) for splt in np.array_split(clean_fluxes[sorted_inds], 15)]+\n", " [clean_fluxes[sorted_inds][-1]])" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "zz = np.polyfit(al, clean_fluxes,6)\n", "sff = np.poly1d(zz)\n", "al_dense = np.linspace(0, 4, 1000)\n", "interp_func = interpolate.interp1d(knots, bin_means)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 386, "width": 345 } }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5, 6))\n", "plt.plot(arclength(rot_rowp)*4.0, fluxes, 'ko', ms=4)\n", "plt.plot(arclength(rot_rowp)*4.0, fluxes, 'o', color='#3498db', ms=3)\n", "plt.plot(arclength(rot_rowp[bi])*4.0, fluxes[bi], 'o', color='r', ms=3)\n", "plt.plot(np.sort(al), interp_func(np.sort(al)), '-', color='#e67e22')\n", "\n", "plt.xticks([0, 1,2, 3, 4])\n", "plt.minorticks_on()\n", "plt.xlabel('Arclength [arcseconds]')\n", "plt.ylabel('Relative Brightness')\n", "plt.title('EPIC 60021426, Kp =10.3')\n", "plt.xlim(0,4)\n", "plt.ylim(0.997, 1.002);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Following **Figure 4** of Vanderburg & Johnson 2014." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apply the Self Flat Field (SFF) correction:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "corr_fluxes = clean_fluxes / interp_func(al)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 374, "width": 634 } }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,6))\n", "\n", "dy = 0.004\n", "plt.plot(df['BJD - 2454833'], df[' Raw Flux']+dy, 'ko', ms=4)\n", "plt.plot(df['BJD - 2454833'], df[' Raw Flux']+dy, 'o', color='#3498db', ms=3)\n", "plt.plot(df['BJD - 2454833'][bi], df[' Raw Flux'][bi]+dy, 'o', color='r', ms=3)\n", "plt.plot(df['BJD - 2454833'][gi], corr_fluxes*bspl(times[gi]), 'o', color='k', ms = 4)\n", "plt.plot(df['BJD - 2454833'][gi], corr_fluxes*bspl(times[gi]), 'o', color='#e67e22', ms = 3)\n", "\n", "plt.xlabel('BJD - 2454833')\n", "plt.ylabel('Relative Brightness')\n", "\n", "plt.xlim(1862, 1870)\n", "plt.ylim(0.994, 1.008);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Following **Figure 5** of Vanderburg & Johnson 2015." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*The end.*" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }