{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import scipy as sp\n", "import emcee \n", "\n", "from sklearn.pipeline import Pipeline\n", "from sklearn.compose import TransformedTargetRegressor\n", "from sklearn.neural_network import MLPRegressor\n", "from sklearn.preprocessing import RobustScaler\n", "from sklearn.ensemble import RandomForestRegressor\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.model_selection import cross_val_score, ShuffleSplit, KFold\n", "\n", "from scipy import stats\n", "\n", "from math import *\n", "import sys\n", "import re\n", "import os\n", "from itertools import chain\n", "\n", "%matplotlib inline\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "\n", "from tqdm import tqdm_notebook as tqdm" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "np.random.seed(0) # for reproducibility " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import seaborn as sns\n", "sns.set(style=\"ticks\", palette=\"muted\", rc={\"xtick.bottom\" : True, \"ytick.left\" : True})\n", "plt.style.use('matplotlibrc')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Index(['M', 'Z', 'logR', 'logL', 'Teff', 'logP', 'I_Amplitude', 'I_Skewness',\n", " 'I_acuteness', 'I_R21', 'I_R31', 'I_M0', 'I_A1', 'I_A2', 'I_A3',\n", " 'V_Amplitude', 'V_Skewness', 'V_acuteness', 'V_R21', 'V_R31', 'V_M0',\n", " 'V_A1', 'V_A2', 'V_A3', 'W', 'VI'],\n", " dtype='object')\n" ] }, { "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</th>\n", " <th>Z</th>\n", " <th>logR</th>\n", " <th>logL</th>\n", " <th>Teff</th>\n", " <th>logP</th>\n", " <th>I_Amplitude</th>\n", " <th>I_Skewness</th>\n", " <th>I_acuteness</th>\n", " <th>I_R21</th>\n", " <th>I_R31</th>\n", " <th>I_M0</th>\n", " <th>I_A1</th>\n", " <th>I_A2</th>\n", " <th>I_A3</th>\n", " <th>V_Amplitude</th>\n", " <th>V_Skewness</th>\n", " <th>V_acuteness</th>\n", " <th>V_R21</th>\n", " <th>V_R31</th>\n", " <th>V_M0</th>\n", " <th>V_A1</th>\n", " <th>V_A2</th>\n", " <th>V_A3</th>\n", " <th>W</th>\n", " <th>VI</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.477102</td>\n", " <td>3.02</td>\n", " <td>6000</td>\n", " <td>0.466380</td>\n", " <td>0.552</td>\n", " <td>2.571</td>\n", " <td>1.329</td>\n", " <td>0.43929</td>\n", " <td>0.15010</td>\n", " <td>-3.38631</td>\n", " <td>0.21697</td>\n", " <td>0.09531</td>\n", " <td>0.03257</td>\n", " <td>0.882</td>\n", " <td>2.368</td>\n", " <td>1.830</td>\n", " <td>0.44330</td>\n", " <td>0.15349</td>\n", " <td>-2.74358</td>\n", " <td>0.34335</td>\n", " <td>0.15220</td>\n", " <td>0.05270</td>\n", " <td>-4.382541</td>\n", " <td>0.64273</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.477102</td>\n", " <td>3.02</td>\n", " <td>6000</td>\n", " <td>0.466650</td>\n", " <td>0.800</td>\n", " <td>3.099</td>\n", " <td>1.551</td>\n", " <td>0.54260</td>\n", " <td>0.26072</td>\n", " <td>-3.36715</td>\n", " <td>0.27487</td>\n", " <td>0.14915</td>\n", " <td>0.07166</td>\n", " <td>1.298</td>\n", " <td>2.969</td>\n", " <td>2.134</td>\n", " <td>0.54981</td>\n", " <td>0.26784</td>\n", " <td>-2.71277</td>\n", " <td>0.43298</td>\n", " <td>0.23806</td>\n", " <td>0.11597</td>\n", " <td>-4.381439</td>\n", " <td>0.65438</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.491701</td>\n", " <td>3.02</td>\n", " <td>5900</td>\n", " <td>0.490475</td>\n", " <td>0.440</td>\n", " <td>2.425</td>\n", " <td>0.921</td>\n", " <td>0.37955</td>\n", " <td>0.11013</td>\n", " <td>-3.40824</td>\n", " <td>0.18830</td>\n", " <td>0.07147</td>\n", " <td>0.02074</td>\n", " <td>0.678</td>\n", " <td>2.087</td>\n", " <td>1.341</td>\n", " <td>0.38871</td>\n", " <td>0.11579</td>\n", " <td>-2.73952</td>\n", " <td>0.29563</td>\n", " <td>0.11492</td>\n", " <td>0.03423</td>\n", " <td>-4.444756</td>\n", " <td>0.66872</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.491701</td>\n", " <td>3.02</td>\n", " <td>5900</td>\n", " <td>0.490745</td>\n", " <td>0.691</td>\n", " <td>3.717</td>\n", " <td>1.143</td>\n", " <td>0.51889</td>\n", " <td>0.22975</td>\n", " <td>-3.39157</td>\n", " <td>0.25519</td>\n", " <td>0.13242</td>\n", " <td>0.05863</td>\n", " <td>1.085</td>\n", " <td>2.496</td>\n", " <td>1.791</td>\n", " <td>0.52955</td>\n", " <td>0.23697</td>\n", " <td>-2.71144</td>\n", " <td>0.39741</td>\n", " <td>0.21045</td>\n", " <td>0.09417</td>\n", " <td>-4.445771</td>\n", " <td>0.68013</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.506549</td>\n", " <td>3.02</td>\n", " <td>5800</td>\n", " <td>0.514472</td>\n", " <td>0.317</td>\n", " <td>1.950</td>\n", " <td>0.761</td>\n", " <td>0.32980</td>\n", " <td>0.13680</td>\n", " <td>-3.42835</td>\n", " <td>0.14776</td>\n", " <td>0.04873</td>\n", " <td>0.02021</td>\n", " <td>0.501</td>\n", " <td>3.309</td>\n", " <td>1.088</td>\n", " <td>0.34265</td>\n", " <td>0.14114</td>\n", " <td>-2.73490</td>\n", " <td>0.23427</td>\n", " <td>0.08027</td>\n", " <td>0.03307</td>\n", " <td>-4.503197</td>\n", " <td>0.69345</td>\n", " </tr>\n", " <tr>\n", " <th>5</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.506549</td>\n", " <td>3.02</td>\n", " <td>5800</td>\n", " <td>0.515287</td>\n", " <td>0.561</td>\n", " <td>3.548</td>\n", " <td>0.815</td>\n", " <td>0.45976</td>\n", " <td>0.19837</td>\n", " <td>-3.41423</td>\n", " <td>0.23158</td>\n", " <td>0.10647</td>\n", " <td>0.04594</td>\n", " <td>0.863</td>\n", " <td>3.032</td>\n", " <td>1.273</td>\n", " <td>0.47535</td>\n", " <td>0.20595</td>\n", " <td>-2.70878</td>\n", " <td>0.35680</td>\n", " <td>0.16960</td>\n", " <td>0.07348</td>\n", " <td>-4.507678</td>\n", " <td>0.70545</td>\n", " </tr>\n", " <tr>\n", " <th>6</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.521655</td>\n", " <td>3.02</td>\n", " <td>5700</td>\n", " <td>0.539598</td>\n", " <td>0.197</td>\n", " <td>2.598</td>\n", " <td>0.772</td>\n", " <td>0.30496</td>\n", " <td>0.13906</td>\n", " <td>-3.44669</td>\n", " <td>0.09311</td>\n", " <td>0.02840</td>\n", " <td>0.01295</td>\n", " <td>0.336</td>\n", " <td>2.448</td>\n", " <td>1.139</td>\n", " <td>0.31027</td>\n", " <td>0.13521</td>\n", " <td>-2.72857</td>\n", " <td>0.15312</td>\n", " <td>0.04751</td>\n", " <td>0.02070</td>\n", " <td>-4.559776</td>\n", " <td>0.71812</td>\n", " </tr>\n", " <tr>\n", " <th>7</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.521655</td>\n", " <td>3.02</td>\n", " <td>5700</td>\n", " <td>0.540138</td>\n", " <td>0.470</td>\n", " <td>9.423</td>\n", " <td>0.687</td>\n", " <td>0.40808</td>\n", " <td>0.20670</td>\n", " <td>-3.43443</td>\n", " <td>0.19822</td>\n", " <td>0.08089</td>\n", " <td>0.04097</td>\n", " <td>0.744</td>\n", " <td>8.712</td>\n", " <td>1.184</td>\n", " <td>0.42691</td>\n", " <td>0.21526</td>\n", " <td>-2.70324</td>\n", " <td>0.30525</td>\n", " <td>0.13032</td>\n", " <td>0.06571</td>\n", " <td>-4.567775</td>\n", " <td>0.73119</td>\n", " </tr>\n", " <tr>\n", " <th>8</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.537029</td>\n", " <td>3.02</td>\n", " <td>5600</td>\n", " <td>0.565515</td>\n", " <td>0.403</td>\n", " <td>7.699</td>\n", " <td>0.726</td>\n", " <td>0.40512</td>\n", " <td>0.24458</td>\n", " <td>-3.45241</td>\n", " <td>0.15827</td>\n", " <td>0.06412</td>\n", " <td>0.03871</td>\n", " <td>0.638</td>\n", " <td>7.132</td>\n", " <td>1.252</td>\n", " <td>0.42260</td>\n", " <td>0.24895</td>\n", " <td>-2.69574</td>\n", " <td>0.24744</td>\n", " <td>0.10457</td>\n", " <td>0.06160</td>\n", " <td>-4.625248</td>\n", " <td>0.75667</td>\n", " </tr>\n", " <tr>\n", " <th>9</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.552679</td>\n", " <td>3.02</td>\n", " <td>5500</td>\n", " <td>0.590934</td>\n", " <td>0.286</td>\n", " <td>4.781</td>\n", " <td>0.864</td>\n", " <td>0.42011</td>\n", " <td>0.24556</td>\n", " <td>-3.46875</td>\n", " <td>0.11408</td>\n", " <td>0.04793</td>\n", " <td>0.02801</td>\n", " <td>0.461</td>\n", " <td>2.677</td>\n", " <td>1.398</td>\n", " <td>0.41801</td>\n", " <td>0.23619</td>\n", " <td>-2.68691</td>\n", " <td>0.18560</td>\n", " <td>0.07758</td>\n", " <td>0.04384</td>\n", " <td>-4.680602</td>\n", " <td>0.78184</td>\n", " </tr>\n", " <tr>\n", " <th>10</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.587745</td>\n", " <td>3.27</td>\n", " <td>6100</td>\n", " <td>0.654317</td>\n", " <td>0.073</td>\n", " <td>0.748</td>\n", " <td>1.245</td>\n", " <td>0.07664</td>\n", " <td>0.06854</td>\n", " <td>-4.01908</td>\n", " <td>0.03354</td>\n", " <td>0.00257</td>\n", " <td>0.00230</td>\n", " <td>0.111</td>\n", " <td>0.742</td>\n", " <td>1.162</td>\n", " <td>0.07363</td>\n", " <td>0.06663</td>\n", " <td>-3.42357</td>\n", " <td>0.05303</td>\n", " <td>0.00390</td>\n", " <td>0.00353</td>\n", " <td>-4.942121</td>\n", " <td>0.59551</td>\n", " </tr>\n", " <tr>\n", " <th>11</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.602102</td>\n", " <td>3.27</td>\n", " <td>6000</td>\n", " <td>0.679052</td>\n", " <td>0.516</td>\n", " <td>2.573</td>\n", " <td>1.294</td>\n", " <td>0.39981</td>\n", " <td>0.12866</td>\n", " <td>-4.01708</td>\n", " <td>0.20772</td>\n", " <td>0.08305</td>\n", " <td>0.02673</td>\n", " <td>0.822</td>\n", " <td>2.637</td>\n", " <td>1.575</td>\n", " <td>0.39753</td>\n", " <td>0.12860</td>\n", " <td>-3.38021</td>\n", " <td>0.32757</td>\n", " <td>0.13022</td>\n", " <td>0.04213</td>\n", " <td>-5.004228</td>\n", " <td>0.63687</td>\n", " </tr>\n", " <tr>\n", " <th>12</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.602102</td>\n", " <td>3.27</td>\n", " <td>6000</td>\n", " <td>0.679590</td>\n", " <td>0.732</td>\n", " <td>4.153</td>\n", " <td>1.257</td>\n", " <td>0.49614</td>\n", " <td>0.23591</td>\n", " <td>-4.00088</td>\n", " <td>0.26395</td>\n", " <td>0.13096</td>\n", " <td>0.06227</td>\n", " <td>1.170</td>\n", " <td>3.740</td>\n", " <td>1.635</td>\n", " <td>0.49643</td>\n", " <td>0.23806</td>\n", " <td>-3.35500</td>\n", " <td>0.41574</td>\n", " <td>0.20638</td>\n", " <td>0.09897</td>\n", " <td>-5.001994</td>\n", " <td>0.64588</td>\n", " </tr>\n", " <tr>\n", " <th>13</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.616701</td>\n", " <td>3.27</td>\n", " <td>5900</td>\n", " <td>0.703394</td>\n", " <td>0.745</td>\n", " <td>3.589</td>\n", " <td>0.747</td>\n", " <td>0.52244</td>\n", " <td>0.21904</td>\n", " <td>-4.01850</td>\n", " <td>0.26619</td>\n", " <td>0.13907</td>\n", " <td>0.05830</td>\n", " <td>1.176</td>\n", " <td>3.221</td>\n", " <td>1.248</td>\n", " <td>0.52621</td>\n", " <td>0.22176</td>\n", " <td>-3.34266</td>\n", " <td>0.41184</td>\n", " <td>0.21671</td>\n", " <td>0.09133</td>\n", " <td>-5.066052</td>\n", " <td>0.67584</td>\n", " </tr>\n", " <tr>\n", " <th>14</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.616701</td>\n", " <td>3.27</td>\n", " <td>5900</td>\n", " <td>0.703932</td>\n", " <td>0.544</td>\n", " <td>2.473</td>\n", " <td>0.823</td>\n", " <td>0.41532</td>\n", " <td>0.10969</td>\n", " <td>-4.03276</td>\n", " <td>0.21271</td>\n", " <td>0.08834</td>\n", " <td>0.02333</td>\n", " <td>0.851</td>\n", " <td>2.585</td>\n", " <td>1.173</td>\n", " <td>0.41697</td>\n", " <td>0.11089</td>\n", " <td>-3.36541</td>\n", " <td>0.33062</td>\n", " <td>0.13786</td>\n", " <td>0.03666</td>\n", " <td>-5.067152</td>\n", " <td>0.66735</td>\n", " </tr>\n", " <tr>\n", " <th>15</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.631549</td>\n", " <td>3.27</td>\n", " <td>5800</td>\n", " <td>0.729115</td>\n", " <td>0.480</td>\n", " <td>1.891</td>\n", " <td>0.527</td>\n", " <td>0.38483</td>\n", " <td>0.11141</td>\n", " <td>-4.05230</td>\n", " <td>0.19198</td>\n", " <td>0.07388</td>\n", " <td>0.02139</td>\n", " <td>0.736</td>\n", " <td>2.030</td>\n", " <td>0.725</td>\n", " <td>0.39419</td>\n", " <td>0.11619</td>\n", " <td>-3.35633</td>\n", " <td>0.29389</td>\n", " <td>0.11585</td>\n", " <td>0.03415</td>\n", " <td>-5.131053</td>\n", " <td>0.69597</td>\n", " </tr>\n", " <tr>\n", " <th>16</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.631549</td>\n", " <td>3.27</td>\n", " <td>5800</td>\n", " <td>0.729384</td>\n", " <td>0.678</td>\n", " <td>3.064</td>\n", " <td>0.508</td>\n", " <td>0.51588</td>\n", " <td>0.16413</td>\n", " <td>-4.03980</td>\n", " <td>0.25118</td>\n", " <td>0.12958</td>\n", " <td>0.04123</td>\n", " <td>1.044</td>\n", " <td>3.150</td>\n", " <td>0.704</td>\n", " <td>0.52505</td>\n", " <td>0.16800</td>\n", " <td>-3.33552</td>\n", " <td>0.38205</td>\n", " <td>0.20060</td>\n", " <td>0.06418</td>\n", " <td>-5.131434</td>\n", " <td>0.70428</td>\n", " </tr>\n", " <tr>\n", " <th>17</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.646655</td>\n", " <td>3.27</td>\n", " <td>5700</td>\n", " <td>0.754374</td>\n", " <td>0.397</td>\n", " <td>1.611</td>\n", " <td>0.430</td>\n", " <td>0.36775</td>\n", " <td>0.16609</td>\n", " <td>-4.07079</td>\n", " <td>0.15964</td>\n", " <td>0.05871</td>\n", " <td>0.02651</td>\n", " <td>0.595</td>\n", " <td>1.793</td>\n", " <td>0.490</td>\n", " <td>0.38535</td>\n", " <td>0.17103</td>\n", " <td>-3.34747</td>\n", " <td>0.24225</td>\n", " <td>0.09335</td>\n", " <td>0.04143</td>\n", " <td>-5.191936</td>\n", " <td>0.72332</td>\n", " </tr>\n", " <tr>\n", " <th>18</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.646655</td>\n", " <td>3.27</td>\n", " <td>5700</td>\n", " <td>0.754911</td>\n", " <td>0.611</td>\n", " <td>2.290</td>\n", " <td>0.392</td>\n", " <td>0.47613</td>\n", " <td>0.14588</td>\n", " <td>-4.05976</td>\n", " <td>0.23014</td>\n", " <td>0.10958</td>\n", " <td>0.03357</td>\n", " <td>0.898</td>\n", " <td>2.413</td>\n", " <td>0.448</td>\n", " <td>0.49403</td>\n", " <td>0.15279</td>\n", " <td>-3.32798</td>\n", " <td>0.34393</td>\n", " <td>0.16991</td>\n", " <td>0.05255</td>\n", " <td>-5.194019</td>\n", " <td>0.73178</td>\n", " </tr>\n", " <tr>\n", " <th>19</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.662029</td>\n", " <td>3.27</td>\n", " <td>5600</td>\n", " <td>0.780413</td>\n", " <td>0.530</td>\n", " <td>2.003</td>\n", " <td>0.383</td>\n", " <td>0.45236</td>\n", " <td>0.16807</td>\n", " <td>-4.07881</td>\n", " <td>0.19704</td>\n", " <td>0.08914</td>\n", " <td>0.03312</td>\n", " <td>0.776</td>\n", " <td>2.105</td>\n", " <td>0.421</td>\n", " <td>0.47957</td>\n", " <td>0.17550</td>\n", " <td>-3.31934</td>\n", " <td>0.29137</td>\n", " <td>0.13973</td>\n", " <td>0.05114</td>\n", " <td>-5.255988</td>\n", " <td>0.75947</td>\n", " </tr>\n", " <tr>\n", " <th>20</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.677679</td>\n", " <td>3.27</td>\n", " <td>5500</td>\n", " <td>0.806160</td>\n", " <td>0.199</td>\n", " <td>1.494</td>\n", " <td>0.431</td>\n", " <td>0.43636</td>\n", " <td>0.08023</td>\n", " <td>-4.10129</td>\n", " <td>0.08647</td>\n", " <td>0.03773</td>\n", " <td>0.00694</td>\n", " <td>0.320</td>\n", " <td>1.681</td>\n", " <td>0.474</td>\n", " <td>0.45539</td>\n", " <td>0.07596</td>\n", " <td>-3.32157</td>\n", " <td>0.13359</td>\n", " <td>0.06084</td>\n", " <td>0.01015</td>\n", " <td>-5.309856</td>\n", " <td>0.77972</td>\n", " </tr>\n", " <tr>\n", " <th>21</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.677679</td>\n", " <td>3.27</td>\n", " <td>5500</td>\n", " <td>0.806698</td>\n", " <td>0.455</td>\n", " <td>1.755</td>\n", " <td>0.374</td>\n", " <td>0.47853</td>\n", " <td>0.12431</td>\n", " <td>-4.09307</td>\n", " <td>0.17331</td>\n", " <td>0.08293</td>\n", " <td>0.02154</td>\n", " <td>0.681</td>\n", " <td>1.907</td>\n", " <td>0.415</td>\n", " <td>0.51557</td>\n", " <td>0.12541</td>\n", " <td>-3.30416</td>\n", " <td>0.25534</td>\n", " <td>0.13165</td>\n", " <td>0.03202</td>\n", " <td>-5.315881</td>\n", " <td>0.78891</td>\n", " </tr>\n", " <tr>\n", " <th>22</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.693617</td>\n", " <td>3.27</td>\n", " <td>5400</td>\n", " <td>0.832441</td>\n", " <td>0.077</td>\n", " <td>1.748</td>\n", " <td>0.511</td>\n", " <td>0.37569</td>\n", " <td>0.03939</td>\n", " <td>-4.11376</td>\n", " <td>0.03565</td>\n", " <td>0.01339</td>\n", " <td>0.00140</td>\n", " <td>0.132</td>\n", " <td>1.916</td>\n", " <td>0.618</td>\n", " <td>0.36950</td>\n", " <td>0.03674</td>\n", " <td>-3.30635</td>\n", " <td>0.05770</td>\n", " <td>0.02132</td>\n", " <td>0.00212</td>\n", " <td>-5.365246</td>\n", " <td>0.80741</td>\n", " </tr>\n", " <tr>\n", " <th>23</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.693617</td>\n", " <td>3.27</td>\n", " <td>5400</td>\n", " <td>0.832980</td>\n", " <td>0.329</td>\n", " <td>0.550</td>\n", " <td>0.405</td>\n", " <td>0.56023</td>\n", " <td>0.08291</td>\n", " <td>-4.10756</td>\n", " <td>0.13184</td>\n", " <td>0.07386</td>\n", " <td>0.01093</td>\n", " <td>0.498</td>\n", " <td>2.509</td>\n", " <td>0.443</td>\n", " <td>0.59848</td>\n", " <td>0.08684</td>\n", " <td>-3.29059</td>\n", " <td>0.19630</td>\n", " <td>0.11748</td>\n", " <td>0.01705</td>\n", " <td>-5.373863</td>\n", " <td>0.81697</td>\n", " </tr>\n", " <tr>\n", " <th>24</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.709853</td>\n", " <td>3.27</td>\n", " <td>5300</td>\n", " <td>0.859297</td>\n", " <td>0.178</td>\n", " <td>0.493</td>\n", " <td>0.429</td>\n", " <td>0.67353</td>\n", " <td>0.12277</td>\n", " <td>-4.12149</td>\n", " <td>0.06807</td>\n", " <td>0.04585</td>\n", " <td>0.00836</td>\n", " <td>0.288</td>\n", " <td>3.000</td>\n", " <td>0.495</td>\n", " <td>0.68888</td>\n", " <td>0.12505</td>\n", " <td>-3.27754</td>\n", " <td>0.10444</td>\n", " <td>0.07194</td>\n", " <td>0.01306</td>\n", " <td>-5.429613</td>\n", " <td>0.84395</td>\n", " </tr>\n", " <tr>\n", " <th>25</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.726398</td>\n", " <td>3.27</td>\n", " <td>5200</td>\n", " <td>0.888073</td>\n", " <td>0.100</td>\n", " <td>0.495</td>\n", " <td>0.521</td>\n", " <td>0.62750</td>\n", " <td>0.11560</td>\n", " <td>-4.13025</td>\n", " <td>0.03581</td>\n", " <td>0.02247</td>\n", " <td>0.00414</td>\n", " <td>0.150</td>\n", " <td>0.546</td>\n", " <td>0.509</td>\n", " <td>0.59487</td>\n", " <td>0.10824</td>\n", " <td>-3.25549</td>\n", " <td>0.05798</td>\n", " <td>0.03449</td>\n", " <td>0.00628</td>\n", " <td>-5.486128</td>\n", " <td>0.87476</td>\n", " </tr>\n", " <tr>\n", " <th>26</th>\n", " <td>4.6</td>\n", " <td>0.008</td>\n", " <td>1.743264</td>\n", " <td>3.27</td>\n", " <td>5100</td>\n", " <td>0.915084</td>\n", " <td>0.106</td>\n", " <td>0.616</td>\n", " <td>0.830</td>\n", " <td>0.28357</td>\n", " <td>0.07916</td>\n", " <td>-4.13531</td>\n", " <td>0.04535</td>\n", " <td>0.01286</td>\n", " <td>0.00359</td>\n", " <td>0.168</td>\n", " <td>0.618</td>\n", " <td>0.740</td>\n", " <td>0.25690</td>\n", " <td>0.07211</td>\n", " <td>-3.22846</td>\n", " <td>0.07514</td>\n", " <td>0.01930</td>\n", " <td>0.00542</td>\n", " <td>-5.540927</td>\n", " <td>0.90685</td>\n", " </tr>\n", " <tr>\n", " <th>27</th>\n", " <td>4.7</td>\n", " <td>0.008</td>\n", " <td>1.492102</td>\n", " <td>3.05</td>\n", " <td>6000</td>\n", " <td>0.481891</td>\n", " <td>0.595</td>\n", " <td>3.000</td>\n", " <td>1.396</td>\n", " <td>0.44053</td>\n", " <td>0.16614</td>\n", " <td>-3.45621</td>\n", " <td>0.23044</td>\n", " <td>0.10151</td>\n", " <td>0.03829</td>\n", " <td>0.948</td>\n", " <td>2.322</td>\n", " <td>1.867</td>\n", " <td>0.44560</td>\n", " <td>0.17041</td>\n", " <td>-2.81648</td>\n", " <td>0.36351</td>\n", " <td>0.16198</td>\n", " <td>0.06195</td>\n", " <td>-4.447792</td>\n", " <td>0.63973</td>\n", " </tr>\n", " <tr>\n", " <th>28</th>\n", " <td>4.7</td>\n", " <td>0.008</td>\n", " <td>1.506701</td>\n", " <td>3.05</td>\n", " <td>5900</td>\n", " <td>0.509512</td>\n", " <td>0.466</td>\n", " <td>2.311</td>\n", " <td>0.961</td>\n", " <td>0.38518</td>\n", " <td>0.12466</td>\n", " <td>-3.48209</td>\n", " <td>0.19809</td>\n", " <td>0.07630</td>\n", " <td>0.02469</td>\n", " <td>0.720</td>\n", " <td>2.311</td>\n", " <td>1.376</td>\n", " <td>0.39332</td>\n", " <td>0.12888</td>\n", " <td>-2.81304</td>\n", " <td>0.31034</td>\n", " <td>0.12207</td>\n", " <td>0.04000</td>\n", " <td>-4.519118</td>\n", " <td>0.66905</td>\n", " </tr>\n", " <tr>\n", " <th>29</th>\n", " <td>4.7</td>\n", " <td>0.008</td>\n", " <td>1.506701</td>\n", " <td>3.05</td>\n", " <td>5900</td>\n", " <td>0.509783</td>\n", " <td>0.712</td>\n", " <td>4.000</td>\n", " <td>1.128</td>\n", " <td>0.51291</td>\n", " <td>0.23322</td>\n", " <td>-3.46513</td>\n", " <td>0.26203</td>\n", " <td>0.13440</td>\n", " <td>0.06111</td>\n", " <td>1.122</td>\n", " <td>3.877</td>\n", " <td>1.811</td>\n", " <td>0.52423</td>\n", " <td>0.24029</td>\n", " <td>-2.78482</td>\n", " <td>0.40732</td>\n", " <td>0.21353</td>\n", " <td>0.09787</td>\n", " <td>-4.519611</td>\n", " <td>0.68031</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", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " <td>...</td>\n", " </tr>\n", " <tr>\n", " <th>361</th>\n", " <td>6.8</td>\n", " <td>0.008</td>\n", " <td>1.957679</td>\n", " <td>3.83</td>\n", " <td>5500</td>\n", " <td>1.183636</td>\n", " <td>0.886</td>\n", " <td>2.154</td>\n", " <td>1.579</td>\n", " <td>0.20728</td>\n", " <td>0.16471</td>\n", " <td>-5.46599</td>\n", " <td>0.32597</td>\n", " <td>0.06757</td>\n", " <td>0.05369</td>\n", " <td>1.437</td>\n", " <td>2.096</td>\n", " <td>2.270</td>\n", " <td>0.22320</td>\n", " <td>0.17183</td>\n", " <td>-4.64929</td>\n", " <td>0.50731</td>\n", " <td>0.11323</td>\n", " <td>0.08717</td>\n", " <td>-6.731875</td>\n", " <td>0.81670</td>\n", " </tr>\n", " <tr>\n", " <th>362</th>\n", " <td>6.8</td>\n", " <td>0.008</td>\n", " <td>1.957679</td>\n", " <td>3.83</td>\n", " <td>5500</td>\n", " <td>1.184432</td>\n", " <td>1.114</td>\n", " <td>2.650</td>\n", " <td>1.596</td>\n", " <td>0.22364</td>\n", " <td>0.14890</td>\n", " <td>-5.44759</td>\n", " <td>0.38111</td>\n", " <td>0.08523</td>\n", " <td>0.05675</td>\n", " <td>1.791</td>\n", " <td>2.611</td>\n", " <td>2.596</td>\n", " <td>0.24342</td>\n", " <td>0.16026</td>\n", " <td>-4.61944</td>\n", " <td>0.58441</td>\n", " <td>0.14226</td>\n", " <td>0.09366</td>\n", " <td>-6.731222</td>\n", " <td>0.82815</td>\n", " </tr>\n", " <tr>\n", " <th>363</th>\n", " <td>6.8</td>\n", " <td>0.008</td>\n", " <td>1.973617</td>\n", " <td>3.83</td>\n", " <td>5400</td>\n", " <td>1.212477</td>\n", " <td>0.920</td>\n", " <td>2.258</td>\n", " <td>1.301</td>\n", " <td>0.23926</td>\n", " <td>0.12553</td>\n", " <td>-5.47349</td>\n", " <td>0.34199</td>\n", " <td>0.08182</td>\n", " <td>0.04293</td>\n", " <td>1.485</td>\n", " <td>2.205</td>\n", " <td>1.828</td>\n", " <td>0.25810</td>\n", " <td>0.13166</td>\n", " <td>-4.61694</td>\n", " <td>0.52495</td>\n", " <td>0.13549</td>\n", " <td>0.06911</td>\n", " <td>-6.801142</td>\n", " <td>0.85655</td>\n", " </tr>\n", " <tr>\n", " <th>364</th>\n", " <td>6.8</td>\n", " <td>0.008</td>\n", " <td>1.973617</td>\n", " <td>3.83</td>\n", " <td>5400</td>\n", " <td>1.214062</td>\n", " <td>1.203</td>\n", " <td>2.788</td>\n", " <td>1.239</td>\n", " <td>0.26035</td>\n", " <td>0.10239</td>\n", " <td>-5.45024</td>\n", " <td>0.41240</td>\n", " <td>0.10737</td>\n", " <td>0.04223</td>\n", " <td>1.924</td>\n", " <td>2.760</td>\n", " <td>1.865</td>\n", " <td>0.28439</td>\n", " <td>0.11656</td>\n", " <td>-4.57804</td>\n", " <td>0.62060</td>\n", " <td>0.17649</td>\n", " <td>0.07234</td>\n", " <td>-6.802150</td>\n", " <td>0.87220</td>\n", " </tr>\n", " <tr>\n", " <th>365</th>\n", " <td>6.8</td>\n", " <td>0.008</td>\n", " <td>1.989853</td>\n", " <td>3.83</td>\n", " <td>5300</td>\n", " <td>1.240656</td>\n", " <td>0.803</td>\n", " <td>1.977</td>\n", " <td>0.967</td>\n", " <td>0.25822</td>\n", " <td>0.10658</td>\n", " <td>-5.48847</td>\n", " <td>0.32696</td>\n", " <td>0.08443</td>\n", " <td>0.03485</td>\n", " <td>1.284</td>\n", " <td>1.994</td>\n", " <td>1.414</td>\n", " <td>0.27758</td>\n", " <td>0.10772</td>\n", " <td>-4.60073</td>\n", " <td>0.49852</td>\n", " <td>0.13838</td>\n", " <td>0.05370</td>\n", " <td>-6.864467</td>\n", " <td>0.88774</td>\n", " </tr>\n", " <tr>\n", " <th>366</th>\n", " <td>6.8</td>\n", " <td>0.008</td>\n", " <td>1.989853</td>\n", " <td>3.83</td>\n", " <td>5300</td>\n", " <td>1.242768</td>\n", " <td>1.153</td>\n", " <td>2.704</td>\n", " <td>0.907</td>\n", " <td>0.31810</td>\n", " <td>0.04840</td>\n", " <td>-5.46142</td>\n", " <td>0.41673</td>\n", " <td>0.13256</td>\n", " <td>0.02017</td>\n", " <td>1.835</td>\n", " <td>2.717</td>\n", " <td>1.449</td>\n", " <td>0.34081</td>\n", " <td>0.06403</td>\n", " <td>-4.55209</td>\n", " <td>0.61916</td>\n", " <td>0.21101</td>\n", " <td>0.03965</td>\n", " <td>-6.870881</td>\n", " <td>0.90933</td>\n", " </tr>\n", " <tr>\n", " <th>367</th>\n", " <td>6.8</td>\n", " <td>0.008</td>\n", " <td>2.006398</td>\n", " <td>3.83</td>\n", " <td>5200</td>\n", " <td>1.267441</td>\n", " <td>0.681</td>\n", " <td>1.578</td>\n", " <td>0.871</td>\n", " <td>0.22987</td>\n", " <td>0.08779</td>\n", " <td>-5.50440</td>\n", " <td>0.29649</td>\n", " <td>0.06815</td>\n", " <td>0.02603</td>\n", " <td>1.081</td>\n", " <td>2.355</td>\n", " <td>1.139</td>\n", " <td>0.25151</td>\n", " <td>0.08919</td>\n", " <td>-4.58942</td>\n", " <td>0.45067</td>\n", " <td>0.11335</td>\n", " <td>0.04019</td>\n", " <td>-6.922619</td>\n", " <td>0.91498</td>\n", " </tr>\n", " <tr>\n", " <th>368</th>\n", " <td>6.8</td>\n", " <td>0.008</td>\n", " <td>2.023264</td>\n", " <td>3.83</td>\n", " <td>5100</td>\n", " <td>1.294895</td>\n", " <td>0.525</td>\n", " <td>1.359</td>\n", " <td>0.843</td>\n", " <td>0.20046</td>\n", " <td>0.06900</td>\n", " <td>-5.51983</td>\n", " <td>0.24876</td>\n", " <td>0.04987</td>\n", " <td>0.01716</td>\n", " <td>0.882</td>\n", " <td>2.205</td>\n", " <td>1.149</td>\n", " <td>0.22140</td>\n", " <td>0.07261</td>\n", " <td>-4.57853</td>\n", " <td>0.37979</td>\n", " <td>0.08409</td>\n", " <td>0.02758</td>\n", " <td>-6.978845</td>\n", " <td>0.94130</td>\n", " </tr>\n", " <tr>\n", " <th>369</th>\n", " <td>6.8</td>\n", " <td>0.008</td>\n", " <td>2.023264</td>\n", " <td>3.83</td>\n", " <td>5100</td>\n", " <td>1.299946</td>\n", " <td>0.889</td>\n", " <td>1.933</td>\n", " <td>0.683</td>\n", " <td>0.31191</td>\n", " <td>0.03655</td>\n", " <td>-5.49136</td>\n", " <td>0.37241</td>\n", " <td>0.11616</td>\n", " <td>0.01361</td>\n", " <td>1.409</td>\n", " <td>3.238</td>\n", " <td>0.906</td>\n", " <td>0.33657</td>\n", " <td>0.04903</td>\n", " <td>-4.52189</td>\n", " <td>0.54627</td>\n", " <td>0.18386</td>\n", " <td>0.02679</td>\n", " <td>-6.994039</td>\n", " <td>0.96947</td>\n", " </tr>\n", " <tr>\n", " <th>370</th>\n", " <td>6.8</td>\n", " <td>0.008</td>\n", " <td>2.040465</td>\n", " <td>3.83</td>\n", " <td>5000</td>\n", " <td>1.317512</td>\n", " <td>0.419</td>\n", " <td>2.185</td>\n", " <td>0.855</td>\n", " <td>0.17097</td>\n", " <td>0.07711</td>\n", " <td>-5.53071</td>\n", " <td>0.20354</td>\n", " <td>0.03480</td>\n", " <td>0.01570</td>\n", " <td>0.707</td>\n", " <td>1.986</td>\n", " <td>1.134</td>\n", " <td>0.19007</td>\n", " <td>0.08158</td>\n", " <td>-4.56796</td>\n", " <td>0.31308</td>\n", " <td>0.05951</td>\n", " <td>0.02554</td>\n", " <td>-7.022972</td>\n", " <td>0.96275</td>\n", " </tr>\n", " <tr>\n", " <th>371</th>\n", " <td>6.8</td>\n", " <td>0.008</td>\n", " <td>2.040465</td>\n", " <td>3.83</td>\n", " <td>5000</td>\n", " <td>1.322616</td>\n", " <td>0.805</td>\n", " <td>3.237</td>\n", " <td>0.676</td>\n", " <td>0.27379</td>\n", " <td>0.02656</td>\n", " <td>-5.50048</td>\n", " <td>0.34945</td>\n", " <td>0.09568</td>\n", " <td>0.00928</td>\n", " <td>1.314</td>\n", " <td>3.201</td>\n", " <td>0.927</td>\n", " <td>0.29827</td>\n", " <td>0.03968</td>\n", " <td>-4.50717</td>\n", " <td>0.51248</td>\n", " <td>0.15286</td>\n", " <td>0.02033</td>\n", " <td>-7.040111</td>\n", " <td>0.99331</td>\n", " </tr>\n", " <tr>\n", " <th>372</th>\n", " <td>6.8</td>\n", " <td>0.008</td>\n", " <td>2.058013</td>\n", " <td>3.83</td>\n", " <td>4900</td>\n", " <td>1.356278</td>\n", " <td>0.703</td>\n", " <td>3.184</td>\n", " <td>0.687</td>\n", " <td>0.24726</td>\n", " <td>0.04981</td>\n", " <td>-5.50731</td>\n", " <td>0.32061</td>\n", " <td>0.07927</td>\n", " <td>0.01597</td>\n", " <td>1.162</td>\n", " <td>3.099</td>\n", " <td>0.946</td>\n", " <td>0.27174</td>\n", " <td>0.05936</td>\n", " <td>-4.47620</td>\n", " <td>0.47261</td>\n", " <td>0.12843</td>\n", " <td>0.02805</td>\n", " <td>-7.105530</td>\n", " <td>1.03111</td>\n", " </tr>\n", " <tr>\n", " <th>373</th>\n", " <td>6.8</td>\n", " <td>0.008</td>\n", " <td>2.075922</td>\n", " <td>3.83</td>\n", " <td>4800</td>\n", " <td>1.384846</td>\n", " <td>0.647</td>\n", " <td>2.732</td>\n", " <td>0.701</td>\n", " <td>0.27153</td>\n", " <td>0.10357</td>\n", " <td>-5.50801</td>\n", " <td>0.30338</td>\n", " <td>0.08238</td>\n", " <td>0.03142</td>\n", " <td>1.079</td>\n", " <td>2.704</td>\n", " <td>0.983</td>\n", " <td>0.29678</td>\n", " <td>0.11335</td>\n", " <td>-4.44144</td>\n", " <td>0.44931</td>\n", " <td>0.13334</td>\n", " <td>0.05093</td>\n", " <td>-7.161193</td>\n", " <td>1.06657</td>\n", " </tr>\n", " <tr>\n", " <th>374</th>\n", " <td>6.8</td>\n", " <td>0.008</td>\n", " <td>2.094209</td>\n", " <td>3.83</td>\n", " <td>4700</td>\n", " <td>1.408872</td>\n", " <td>0.617</td>\n", " <td>7.930</td>\n", " <td>0.737</td>\n", " <td>0.29407</td>\n", " <td>0.15436</td>\n", " <td>-5.50917</td>\n", " <td>0.28010</td>\n", " <td>0.08237</td>\n", " <td>0.04323</td>\n", " <td>1.012</td>\n", " <td>2.559</td>\n", " <td>1.051</td>\n", " <td>0.31722</td>\n", " <td>0.16223</td>\n", " <td>-4.41539</td>\n", " <td>0.41749</td>\n", " <td>0.13244</td>\n", " <td>0.06773</td>\n", " <td>-7.204529</td>\n", " <td>1.09378</td>\n", " </tr>\n", " <tr>\n", " <th>375</th>\n", " <td>6.8</td>\n", " <td>0.008</td>\n", " <td>2.112889</td>\n", " <td>3.83</td>\n", " <td>4600</td>\n", " <td>1.440466</td>\n", " <td>0.480</td>\n", " <td>5.454</td>\n", " <td>0.793</td>\n", " <td>0.32401</td>\n", " <td>0.20694</td>\n", " <td>-5.51676</td>\n", " <td>0.21084</td>\n", " <td>0.06832</td>\n", " <td>0.04363</td>\n", " <td>0.744</td>\n", " <td>2.125</td>\n", " <td>1.220</td>\n", " <td>0.33283</td>\n", " <td>0.20419</td>\n", " <td>-4.39404</td>\n", " <td>0.32322</td>\n", " <td>0.10758</td>\n", " <td>0.06600</td>\n", " <td>-7.256976</td>\n", " <td>1.12272</td>\n", " </tr>\n", " <tr>\n", " <th>376</th>\n", " <td>7.4</td>\n", " <td>0.008</td>\n", " <td>1.871549</td>\n", " <td>3.75</td>\n", " <td>5800</td>\n", " <td>0.999544</td>\n", " <td>0.112</td>\n", " <td>1.066</td>\n", " <td>0.957</td>\n", " <td>0.09761</td>\n", " <td>0.00976</td>\n", " <td>-5.27220</td>\n", " <td>0.05552</td>\n", " <td>0.00542</td>\n", " <td>0.00054</td>\n", " <td>0.178</td>\n", " <td>1.155</td>\n", " <td>0.996</td>\n", " <td>0.09655</td>\n", " <td>0.00960</td>\n", " <td>-4.59290</td>\n", " <td>0.08820</td>\n", " <td>0.00852</td>\n", " <td>0.00085</td>\n", " <td>-6.325115</td>\n", " <td>0.67930</td>\n", " </tr>\n", " <tr>\n", " <th>377</th>\n", " <td>7.4</td>\n", " <td>0.008</td>\n", " <td>1.886655</td>\n", " <td>3.75</td>\n", " <td>5700</td>\n", " <td>1.024478</td>\n", " <td>0.392</td>\n", " <td>2.021</td>\n", " <td>0.724</td>\n", " <td>0.28949</td>\n", " <td>0.07662</td>\n", " <td>-5.27570</td>\n", " <td>0.17777</td>\n", " <td>0.05146</td>\n", " <td>0.01362</td>\n", " <td>0.624</td>\n", " <td>1.907</td>\n", " <td>0.801</td>\n", " <td>0.29278</td>\n", " <td>0.07780</td>\n", " <td>-4.55784</td>\n", " <td>0.27811</td>\n", " <td>0.08142</td>\n", " <td>0.02164</td>\n", " <td>-6.388383</td>\n", " <td>0.71786</td>\n", " </tr>\n", " <tr>\n", " <th>378</th>\n", " <td>7.4</td>\n", " <td>0.008</td>\n", " <td>1.898160</td>\n", " <td>3.75</td>\n", " <td>5625</td>\n", " <td>1.045485</td>\n", " <td>0.366</td>\n", " <td>1.874</td>\n", " <td>0.608</td>\n", " <td>0.29035</td>\n", " <td>0.08649</td>\n", " <td>-5.28666</td>\n", " <td>0.17343</td>\n", " <td>0.05035</td>\n", " <td>0.01500</td>\n", " <td>0.582</td>\n", " <td>2.136</td>\n", " <td>0.673</td>\n", " <td>0.29744</td>\n", " <td>0.08939</td>\n", " <td>-4.54461</td>\n", " <td>0.26925</td>\n", " <td>0.08009</td>\n", " <td>0.02407</td>\n", " <td>-6.436837</td>\n", " <td>0.74205</td>\n", " </tr>\n", " <tr>\n", " <th>379</th>\n", " <td>7.4</td>\n", " <td>0.008</td>\n", " <td>1.902029</td>\n", " <td>3.75</td>\n", " <td>5600</td>\n", " <td>1.052150</td>\n", " <td>0.351</td>\n", " <td>2.058</td>\n", " <td>0.579</td>\n", " <td>0.29170</td>\n", " <td>0.09150</td>\n", " <td>-5.29061</td>\n", " <td>0.16803</td>\n", " <td>0.04901</td>\n", " <td>0.01538</td>\n", " <td>0.556</td>\n", " <td>1.959</td>\n", " <td>0.638</td>\n", " <td>0.30012</td>\n", " <td>0.09492</td>\n", " <td>-4.54076</td>\n", " <td>0.26018</td>\n", " <td>0.07809</td>\n", " <td>0.02470</td>\n", " <td>-6.452878</td>\n", " <td>0.74985</td>\n", " </tr>\n", " <tr>\n", " <th>380</th>\n", " <td>7.4</td>\n", " <td>0.008</td>\n", " <td>1.905915</td>\n", " <td>3.75</td>\n", " <td>5575</td>\n", " <td>1.058880</td>\n", " <td>0.336</td>\n", " <td>0.754</td>\n", " <td>0.564</td>\n", " <td>0.29242</td>\n", " <td>0.09265</td>\n", " <td>-5.29488</td>\n", " <td>0.15900</td>\n", " <td>0.04649</td>\n", " <td>0.01473</td>\n", " <td>0.513</td>\n", " <td>1.907</td>\n", " <td>0.594</td>\n", " <td>0.30245</td>\n", " <td>0.09832</td>\n", " <td>-4.53759</td>\n", " <td>0.24566</td>\n", " <td>0.07430</td>\n", " <td>0.02415</td>\n", " <td>-6.468680</td>\n", " <td>0.75729</td>\n", " </tr>\n", " <tr>\n", " <th>381</th>\n", " <td>7.4</td>\n", " <td>0.008</td>\n", " <td>1.909819</td>\n", " <td>3.75</td>\n", " <td>5550</td>\n", " <td>1.065631</td>\n", " <td>0.330</td>\n", " <td>0.695</td>\n", " <td>0.565</td>\n", " <td>0.29660</td>\n", " <td>0.09821</td>\n", " <td>-5.29898</td>\n", " <td>0.15049</td>\n", " <td>0.04464</td>\n", " <td>0.01478</td>\n", " <td>0.487</td>\n", " <td>0.733</td>\n", " <td>0.572</td>\n", " <td>0.30803</td>\n", " <td>0.10282</td>\n", " <td>-4.53393</td>\n", " <td>0.23227</td>\n", " <td>0.07155</td>\n", " <td>0.02388</td>\n", " <td>-6.484807</td>\n", " <td>0.76505</td>\n", " </tr>\n", " <tr>\n", " <th>382</th>\n", " <td>7.4</td>\n", " <td>0.008</td>\n", " <td>1.913740</td>\n", " <td>3.75</td>\n", " <td>5525</td>\n", " <td>1.072418</td>\n", " <td>0.328</td>\n", " <td>0.730</td>\n", " <td>0.572</td>\n", " <td>0.30550</td>\n", " <td>0.10684</td>\n", " <td>-5.30280</td>\n", " <td>0.14292</td>\n", " <td>0.04366</td>\n", " <td>0.01527</td>\n", " <td>0.487</td>\n", " <td>0.703</td>\n", " <td>0.578</td>\n", " <td>0.31832</td>\n", " <td>0.11169</td>\n", " <td>-4.52989</td>\n", " <td>0.22029</td>\n", " <td>0.07012</td>\n", " <td>0.02460</td>\n", " <td>-6.500811</td>\n", " <td>0.77291</td>\n", " </tr>\n", " <tr>\n", " <th>383</th>\n", " <td>7.4</td>\n", " <td>0.008</td>\n", " <td>1.917679</td>\n", " <td>3.75</td>\n", " <td>5500</td>\n", " <td>1.079215</td>\n", " <td>0.334</td>\n", " <td>0.736</td>\n", " <td>0.582</td>\n", " <td>0.31916</td>\n", " <td>0.12414</td>\n", " <td>-5.30612</td>\n", " <td>0.13851</td>\n", " <td>0.04421</td>\n", " <td>0.01719</td>\n", " <td>0.500</td>\n", " <td>0.718</td>\n", " <td>0.589</td>\n", " <td>0.33295</td>\n", " <td>0.12903</td>\n", " <td>-4.52506</td>\n", " <td>0.21331</td>\n", " <td>0.07102</td>\n", " <td>0.02752</td>\n", " <td>-6.516763</td>\n", " <td>0.78106</td>\n", " </tr>\n", " <tr>\n", " <th>384</th>\n", " <td>7.4</td>\n", " <td>0.008</td>\n", " <td>1.925612</td>\n", " <td>3.75</td>\n", " <td>5450</td>\n", " <td>1.094013</td>\n", " <td>0.405</td>\n", " <td>0.805</td>\n", " <td>0.623</td>\n", " <td>0.35188</td>\n", " <td>0.19739</td>\n", " <td>-5.30969</td>\n", " <td>0.15201</td>\n", " <td>0.05349</td>\n", " <td>0.03000</td>\n", " <td>0.615</td>\n", " <td>0.767</td>\n", " <td>0.627</td>\n", " <td>0.36482</td>\n", " <td>0.20261</td>\n", " <td>-4.51013</td>\n", " <td>0.23407</td>\n", " <td>0.08539</td>\n", " <td>0.04743</td>\n", " <td>-6.549008</td>\n", " <td>0.79956</td>\n", " </tr>\n", " <tr>\n", " <th>385</th>\n", " <td>7.4</td>\n", " <td>0.008</td>\n", " <td>1.933617</td>\n", " <td>3.75</td>\n", " <td>5400</td>\n", " <td>1.108081</td>\n", " <td>0.554</td>\n", " <td>0.930</td>\n", " <td>1.500</td>\n", " <td>0.35229</td>\n", " <td>0.30542</td>\n", " <td>-5.30784</td>\n", " <td>0.19413</td>\n", " <td>0.06839</td>\n", " <td>0.05929</td>\n", " <td>0.853</td>\n", " <td>0.919</td>\n", " <td>0.641</td>\n", " <td>0.35845</td>\n", " <td>0.31091</td>\n", " <td>-4.48608</td>\n", " <td>0.29871</td>\n", " <td>0.10707</td>\n", " <td>0.09287</td>\n", " <td>-6.581568</td>\n", " <td>0.82176</td>\n", " </tr>\n", " <tr>\n", " <th>386</th>\n", " <td>7.4</td>\n", " <td>0.008</td>\n", " <td>1.949853</td>\n", " <td>3.75</td>\n", " <td>5300</td>\n", " <td>1.137560</td>\n", " <td>0.764</td>\n", " <td>1.288</td>\n", " <td>1.083</td>\n", " <td>0.22873</td>\n", " <td>0.39911</td>\n", " <td>-5.30261</td>\n", " <td>0.26173</td>\n", " <td>0.05987</td>\n", " <td>0.10446</td>\n", " <td>1.194</td>\n", " <td>1.237</td>\n", " <td>1.019</td>\n", " <td>0.21560</td>\n", " <td>0.39844</td>\n", " <td>-4.43437</td>\n", " <td>0.40258</td>\n", " <td>0.08680</td>\n", " <td>0.16040</td>\n", " <td>-6.648382</td>\n", " <td>0.86824</td>\n", " </tr>\n", " <tr>\n", " <th>387</th>\n", " <td>7.4</td>\n", " <td>0.008</td>\n", " <td>1.966398</td>\n", " <td>3.75</td>\n", " <td>5200</td>\n", " <td>1.166958</td>\n", " <td>0.867</td>\n", " <td>1.538</td>\n", " <td>0.908</td>\n", " <td>0.12127</td>\n", " <td>0.35736</td>\n", " <td>-5.30085</td>\n", " <td>0.29690</td>\n", " <td>0.03600</td>\n", " <td>0.10610</td>\n", " <td>1.375</td>\n", " <td>1.519</td>\n", " <td>1.070</td>\n", " <td>0.10063</td>\n", " <td>0.35018</td>\n", " <td>-4.38986</td>\n", " <td>0.45658</td>\n", " <td>0.04594</td>\n", " <td>0.15988</td>\n", " <td>-6.712884</td>\n", " <td>0.91099</td>\n", " </tr>\n", " <tr>\n", " <th>388</th>\n", " <td>7.4</td>\n", " <td>0.008</td>\n", " <td>1.983264</td>\n", " <td>3.75</td>\n", " <td>5100</td>\n", " <td>1.195275</td>\n", " <td>0.932</td>\n", " <td>1.802</td>\n", " <td>1.063</td>\n", " <td>0.11461</td>\n", " <td>0.25094</td>\n", " <td>-5.30022</td>\n", " <td>0.31343</td>\n", " <td>0.03592</td>\n", " <td>0.07865</td>\n", " <td>1.500</td>\n", " <td>1.770</td>\n", " <td>1.434</td>\n", " <td>0.11973</td>\n", " <td>0.23962</td>\n", " <td>-4.34934</td>\n", " <td>0.48510</td>\n", " <td>0.05808</td>\n", " <td>0.11624</td>\n", " <td>-6.774084</td>\n", " <td>0.95088</td>\n", " </tr>\n", " <tr>\n", " <th>389</th>\n", " <td>7.5</td>\n", " <td>0.008</td>\n", " <td>2.000465</td>\n", " <td>3.75</td>\n", " <td>5000</td>\n", " <td>1.223979</td>\n", " <td>0.447</td>\n", " <td>2.846</td>\n", " <td>1.634</td>\n", " <td>0.39164</td>\n", " <td>0.18668</td>\n", " <td>-5.08193</td>\n", " <td>0.17022</td>\n", " <td>0.06666</td>\n", " <td>0.03178</td>\n", " <td>0.710</td>\n", " <td>2.690</td>\n", " <td>3.072</td>\n", " <td>0.44466</td>\n", " <td>0.25849</td>\n", " <td>-3.97067</td>\n", " <td>0.22353</td>\n", " <td>0.09939</td>\n", " <td>0.05778</td>\n", " <td>-6.804383</td>\n", " <td>1.11126</td>\n", " </tr>\n", " <tr>\n", " <th>390</th>\n", " <td>7.5</td>\n", " <td>0.008</td>\n", " <td>2.018013</td>\n", " <td>3.75</td>\n", " <td>4900</td>\n", " <td>1.250225</td>\n", " <td>0.225</td>\n", " <td>1.564</td>\n", " <td>1.501</td>\n", " <td>0.23606</td>\n", " <td>0.07483</td>\n", " <td>-5.18131</td>\n", " <td>0.09739</td>\n", " <td>0.02299</td>\n", " <td>0.00729</td>\n", " <td>0.394</td>\n", " <td>1.404</td>\n", " <td>2.794</td>\n", " <td>0.33403</td>\n", " <td>0.15767</td>\n", " <td>-4.09747</td>\n", " <td>0.14173</td>\n", " <td>0.04734</td>\n", " <td>0.02235</td>\n", " <td>-6.861262</td>\n", " <td>1.08384</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "<p>391 rows × 26 columns</p>\n", "</div>" ], "text/plain": [ " M Z logR logL Teff logP I_Amplitude I_Skewness \\\n", "0 4.6 0.008 1.477102 3.02 6000 0.466380 0.552 2.571 \n", "1 4.6 0.008 1.477102 3.02 6000 0.466650 0.800 3.099 \n", "2 4.6 0.008 1.491701 3.02 5900 0.490475 0.440 2.425 \n", "3 4.6 0.008 1.491701 3.02 5900 0.490745 0.691 3.717 \n", "4 4.6 0.008 1.506549 3.02 5800 0.514472 0.317 1.950 \n", "5 4.6 0.008 1.506549 3.02 5800 0.515287 0.561 3.548 \n", "6 4.6 0.008 1.521655 3.02 5700 0.539598 0.197 2.598 \n", "7 4.6 0.008 1.521655 3.02 5700 0.540138 0.470 9.423 \n", "8 4.6 0.008 1.537029 3.02 5600 0.565515 0.403 7.699 \n", "9 4.6 0.008 1.552679 3.02 5500 0.590934 0.286 4.781 \n", "10 4.6 0.008 1.587745 3.27 6100 0.654317 0.073 0.748 \n", "11 4.6 0.008 1.602102 3.27 6000 0.679052 0.516 2.573 \n", "12 4.6 0.008 1.602102 3.27 6000 0.679590 0.732 4.153 \n", "13 4.6 0.008 1.616701 3.27 5900 0.703394 0.745 3.589 \n", "14 4.6 0.008 1.616701 3.27 5900 0.703932 0.544 2.473 \n", "15 4.6 0.008 1.631549 3.27 5800 0.729115 0.480 1.891 \n", "16 4.6 0.008 1.631549 3.27 5800 0.729384 0.678 3.064 \n", "17 4.6 0.008 1.646655 3.27 5700 0.754374 0.397 1.611 \n", "18 4.6 0.008 1.646655 3.27 5700 0.754911 0.611 2.290 \n", "19 4.6 0.008 1.662029 3.27 5600 0.780413 0.530 2.003 \n", "20 4.6 0.008 1.677679 3.27 5500 0.806160 0.199 1.494 \n", "21 4.6 0.008 1.677679 3.27 5500 0.806698 0.455 1.755 \n", "22 4.6 0.008 1.693617 3.27 5400 0.832441 0.077 1.748 \n", "23 4.6 0.008 1.693617 3.27 5400 0.832980 0.329 0.550 \n", "24 4.6 0.008 1.709853 3.27 5300 0.859297 0.178 0.493 \n", "25 4.6 0.008 1.726398 3.27 5200 0.888073 0.100 0.495 \n", "26 4.6 0.008 1.743264 3.27 5100 0.915084 0.106 0.616 \n", "27 4.7 0.008 1.492102 3.05 6000 0.481891 0.595 3.000 \n", "28 4.7 0.008 1.506701 3.05 5900 0.509512 0.466 2.311 \n", "29 4.7 0.008 1.506701 3.05 5900 0.509783 0.712 4.000 \n", ".. ... ... ... ... ... ... ... ... \n", "361 6.8 0.008 1.957679 3.83 5500 1.183636 0.886 2.154 \n", "362 6.8 0.008 1.957679 3.83 5500 1.184432 1.114 2.650 \n", "363 6.8 0.008 1.973617 3.83 5400 1.212477 0.920 2.258 \n", "364 6.8 0.008 1.973617 3.83 5400 1.214062 1.203 2.788 \n", "365 6.8 0.008 1.989853 3.83 5300 1.240656 0.803 1.977 \n", "366 6.8 0.008 1.989853 3.83 5300 1.242768 1.153 2.704 \n", "367 6.8 0.008 2.006398 3.83 5200 1.267441 0.681 1.578 \n", "368 6.8 0.008 2.023264 3.83 5100 1.294895 0.525 1.359 \n", "369 6.8 0.008 2.023264 3.83 5100 1.299946 0.889 1.933 \n", "370 6.8 0.008 2.040465 3.83 5000 1.317512 0.419 2.185 \n", "371 6.8 0.008 2.040465 3.83 5000 1.322616 0.805 3.237 \n", "372 6.8 0.008 2.058013 3.83 4900 1.356278 0.703 3.184 \n", "373 6.8 0.008 2.075922 3.83 4800 1.384846 0.647 2.732 \n", "374 6.8 0.008 2.094209 3.83 4700 1.408872 0.617 7.930 \n", "375 6.8 0.008 2.112889 3.83 4600 1.440466 0.480 5.454 \n", "376 7.4 0.008 1.871549 3.75 5800 0.999544 0.112 1.066 \n", "377 7.4 0.008 1.886655 3.75 5700 1.024478 0.392 2.021 \n", "378 7.4 0.008 1.898160 3.75 5625 1.045485 0.366 1.874 \n", "379 7.4 0.008 1.902029 3.75 5600 1.052150 0.351 2.058 \n", "380 7.4 0.008 1.905915 3.75 5575 1.058880 0.336 0.754 \n", "381 7.4 0.008 1.909819 3.75 5550 1.065631 0.330 0.695 \n", "382 7.4 0.008 1.913740 3.75 5525 1.072418 0.328 0.730 \n", "383 7.4 0.008 1.917679 3.75 5500 1.079215 0.334 0.736 \n", "384 7.4 0.008 1.925612 3.75 5450 1.094013 0.405 0.805 \n", "385 7.4 0.008 1.933617 3.75 5400 1.108081 0.554 0.930 \n", "386 7.4 0.008 1.949853 3.75 5300 1.137560 0.764 1.288 \n", "387 7.4 0.008 1.966398 3.75 5200 1.166958 0.867 1.538 \n", "388 7.4 0.008 1.983264 3.75 5100 1.195275 0.932 1.802 \n", "389 7.5 0.008 2.000465 3.75 5000 1.223979 0.447 2.846 \n", "390 7.5 0.008 2.018013 3.75 4900 1.250225 0.225 1.564 \n", "\n", " I_acuteness I_R21 I_R31 I_M0 I_A1 I_A2 I_A3 \\\n", "0 1.329 0.43929 0.15010 -3.38631 0.21697 0.09531 0.03257 \n", "1 1.551 0.54260 0.26072 -3.36715 0.27487 0.14915 0.07166 \n", "2 0.921 0.37955 0.11013 -3.40824 0.18830 0.07147 0.02074 \n", "3 1.143 0.51889 0.22975 -3.39157 0.25519 0.13242 0.05863 \n", "4 0.761 0.32980 0.13680 -3.42835 0.14776 0.04873 0.02021 \n", "5 0.815 0.45976 0.19837 -3.41423 0.23158 0.10647 0.04594 \n", "6 0.772 0.30496 0.13906 -3.44669 0.09311 0.02840 0.01295 \n", "7 0.687 0.40808 0.20670 -3.43443 0.19822 0.08089 0.04097 \n", "8 0.726 0.40512 0.24458 -3.45241 0.15827 0.06412 0.03871 \n", "9 0.864 0.42011 0.24556 -3.46875 0.11408 0.04793 0.02801 \n", "10 1.245 0.07664 0.06854 -4.01908 0.03354 0.00257 0.00230 \n", "11 1.294 0.39981 0.12866 -4.01708 0.20772 0.08305 0.02673 \n", "12 1.257 0.49614 0.23591 -4.00088 0.26395 0.13096 0.06227 \n", "13 0.747 0.52244 0.21904 -4.01850 0.26619 0.13907 0.05830 \n", "14 0.823 0.41532 0.10969 -4.03276 0.21271 0.08834 0.02333 \n", "15 0.527 0.38483 0.11141 -4.05230 0.19198 0.07388 0.02139 \n", "16 0.508 0.51588 0.16413 -4.03980 0.25118 0.12958 0.04123 \n", "17 0.430 0.36775 0.16609 -4.07079 0.15964 0.05871 0.02651 \n", "18 0.392 0.47613 0.14588 -4.05976 0.23014 0.10958 0.03357 \n", "19 0.383 0.45236 0.16807 -4.07881 0.19704 0.08914 0.03312 \n", "20 0.431 0.43636 0.08023 -4.10129 0.08647 0.03773 0.00694 \n", "21 0.374 0.47853 0.12431 -4.09307 0.17331 0.08293 0.02154 \n", "22 0.511 0.37569 0.03939 -4.11376 0.03565 0.01339 0.00140 \n", "23 0.405 0.56023 0.08291 -4.10756 0.13184 0.07386 0.01093 \n", "24 0.429 0.67353 0.12277 -4.12149 0.06807 0.04585 0.00836 \n", "25 0.521 0.62750 0.11560 -4.13025 0.03581 0.02247 0.00414 \n", "26 0.830 0.28357 0.07916 -4.13531 0.04535 0.01286 0.00359 \n", "27 1.396 0.44053 0.16614 -3.45621 0.23044 0.10151 0.03829 \n", "28 0.961 0.38518 0.12466 -3.48209 0.19809 0.07630 0.02469 \n", "29 1.128 0.51291 0.23322 -3.46513 0.26203 0.13440 0.06111 \n", ".. ... ... ... ... ... ... ... \n", "361 1.579 0.20728 0.16471 -5.46599 0.32597 0.06757 0.05369 \n", "362 1.596 0.22364 0.14890 -5.44759 0.38111 0.08523 0.05675 \n", "363 1.301 0.23926 0.12553 -5.47349 0.34199 0.08182 0.04293 \n", "364 1.239 0.26035 0.10239 -5.45024 0.41240 0.10737 0.04223 \n", "365 0.967 0.25822 0.10658 -5.48847 0.32696 0.08443 0.03485 \n", "366 0.907 0.31810 0.04840 -5.46142 0.41673 0.13256 0.02017 \n", "367 0.871 0.22987 0.08779 -5.50440 0.29649 0.06815 0.02603 \n", "368 0.843 0.20046 0.06900 -5.51983 0.24876 0.04987 0.01716 \n", "369 0.683 0.31191 0.03655 -5.49136 0.37241 0.11616 0.01361 \n", "370 0.855 0.17097 0.07711 -5.53071 0.20354 0.03480 0.01570 \n", "371 0.676 0.27379 0.02656 -5.50048 0.34945 0.09568 0.00928 \n", "372 0.687 0.24726 0.04981 -5.50731 0.32061 0.07927 0.01597 \n", "373 0.701 0.27153 0.10357 -5.50801 0.30338 0.08238 0.03142 \n", "374 0.737 0.29407 0.15436 -5.50917 0.28010 0.08237 0.04323 \n", "375 0.793 0.32401 0.20694 -5.51676 0.21084 0.06832 0.04363 \n", "376 0.957 0.09761 0.00976 -5.27220 0.05552 0.00542 0.00054 \n", "377 0.724 0.28949 0.07662 -5.27570 0.17777 0.05146 0.01362 \n", "378 0.608 0.29035 0.08649 -5.28666 0.17343 0.05035 0.01500 \n", "379 0.579 0.29170 0.09150 -5.29061 0.16803 0.04901 0.01538 \n", "380 0.564 0.29242 0.09265 -5.29488 0.15900 0.04649 0.01473 \n", "381 0.565 0.29660 0.09821 -5.29898 0.15049 0.04464 0.01478 \n", "382 0.572 0.30550 0.10684 -5.30280 0.14292 0.04366 0.01527 \n", "383 0.582 0.31916 0.12414 -5.30612 0.13851 0.04421 0.01719 \n", "384 0.623 0.35188 0.19739 -5.30969 0.15201 0.05349 0.03000 \n", "385 1.500 0.35229 0.30542 -5.30784 0.19413 0.06839 0.05929 \n", "386 1.083 0.22873 0.39911 -5.30261 0.26173 0.05987 0.10446 \n", "387 0.908 0.12127 0.35736 -5.30085 0.29690 0.03600 0.10610 \n", "388 1.063 0.11461 0.25094 -5.30022 0.31343 0.03592 0.07865 \n", "389 1.634 0.39164 0.18668 -5.08193 0.17022 0.06666 0.03178 \n", "390 1.501 0.23606 0.07483 -5.18131 0.09739 0.02299 0.00729 \n", "\n", " V_Amplitude V_Skewness V_acuteness V_R21 V_R31 V_M0 V_A1 \\\n", "0 0.882 2.368 1.830 0.44330 0.15349 -2.74358 0.34335 \n", "1 1.298 2.969 2.134 0.54981 0.26784 -2.71277 0.43298 \n", "2 0.678 2.087 1.341 0.38871 0.11579 -2.73952 0.29563 \n", "3 1.085 2.496 1.791 0.52955 0.23697 -2.71144 0.39741 \n", "4 0.501 3.309 1.088 0.34265 0.14114 -2.73490 0.23427 \n", "5 0.863 3.032 1.273 0.47535 0.20595 -2.70878 0.35680 \n", "6 0.336 2.448 1.139 0.31027 0.13521 -2.72857 0.15312 \n", "7 0.744 8.712 1.184 0.42691 0.21526 -2.70324 0.30525 \n", "8 0.638 7.132 1.252 0.42260 0.24895 -2.69574 0.24744 \n", "9 0.461 2.677 1.398 0.41801 0.23619 -2.68691 0.18560 \n", "10 0.111 0.742 1.162 0.07363 0.06663 -3.42357 0.05303 \n", "11 0.822 2.637 1.575 0.39753 0.12860 -3.38021 0.32757 \n", "12 1.170 3.740 1.635 0.49643 0.23806 -3.35500 0.41574 \n", "13 1.176 3.221 1.248 0.52621 0.22176 -3.34266 0.41184 \n", "14 0.851 2.585 1.173 0.41697 0.11089 -3.36541 0.33062 \n", "15 0.736 2.030 0.725 0.39419 0.11619 -3.35633 0.29389 \n", "16 1.044 3.150 0.704 0.52505 0.16800 -3.33552 0.38205 \n", "17 0.595 1.793 0.490 0.38535 0.17103 -3.34747 0.24225 \n", "18 0.898 2.413 0.448 0.49403 0.15279 -3.32798 0.34393 \n", "19 0.776 2.105 0.421 0.47957 0.17550 -3.31934 0.29137 \n", "20 0.320 1.681 0.474 0.45539 0.07596 -3.32157 0.13359 \n", "21 0.681 1.907 0.415 0.51557 0.12541 -3.30416 0.25534 \n", "22 0.132 1.916 0.618 0.36950 0.03674 -3.30635 0.05770 \n", "23 0.498 2.509 0.443 0.59848 0.08684 -3.29059 0.19630 \n", "24 0.288 3.000 0.495 0.68888 0.12505 -3.27754 0.10444 \n", "25 0.150 0.546 0.509 0.59487 0.10824 -3.25549 0.05798 \n", "26 0.168 0.618 0.740 0.25690 0.07211 -3.22846 0.07514 \n", "27 0.948 2.322 1.867 0.44560 0.17041 -2.81648 0.36351 \n", "28 0.720 2.311 1.376 0.39332 0.12888 -2.81304 0.31034 \n", "29 1.122 3.877 1.811 0.52423 0.24029 -2.78482 0.40732 \n", ".. ... ... ... ... ... ... ... \n", "361 1.437 2.096 2.270 0.22320 0.17183 -4.64929 0.50731 \n", "362 1.791 2.611 2.596 0.24342 0.16026 -4.61944 0.58441 \n", "363 1.485 2.205 1.828 0.25810 0.13166 -4.61694 0.52495 \n", "364 1.924 2.760 1.865 0.28439 0.11656 -4.57804 0.62060 \n", "365 1.284 1.994 1.414 0.27758 0.10772 -4.60073 0.49852 \n", "366 1.835 2.717 1.449 0.34081 0.06403 -4.55209 0.61916 \n", "367 1.081 2.355 1.139 0.25151 0.08919 -4.58942 0.45067 \n", "368 0.882 2.205 1.149 0.22140 0.07261 -4.57853 0.37979 \n", "369 1.409 3.238 0.906 0.33657 0.04903 -4.52189 0.54627 \n", "370 0.707 1.986 1.134 0.19007 0.08158 -4.56796 0.31308 \n", "371 1.314 3.201 0.927 0.29827 0.03968 -4.50717 0.51248 \n", "372 1.162 3.099 0.946 0.27174 0.05936 -4.47620 0.47261 \n", "373 1.079 2.704 0.983 0.29678 0.11335 -4.44144 0.44931 \n", "374 1.012 2.559 1.051 0.31722 0.16223 -4.41539 0.41749 \n", "375 0.744 2.125 1.220 0.33283 0.20419 -4.39404 0.32322 \n", "376 0.178 1.155 0.996 0.09655 0.00960 -4.59290 0.08820 \n", "377 0.624 1.907 0.801 0.29278 0.07780 -4.55784 0.27811 \n", "378 0.582 2.136 0.673 0.29744 0.08939 -4.54461 0.26925 \n", "379 0.556 1.959 0.638 0.30012 0.09492 -4.54076 0.26018 \n", "380 0.513 1.907 0.594 0.30245 0.09832 -4.53759 0.24566 \n", "381 0.487 0.733 0.572 0.30803 0.10282 -4.53393 0.23227 \n", "382 0.487 0.703 0.578 0.31832 0.11169 -4.52989 0.22029 \n", "383 0.500 0.718 0.589 0.33295 0.12903 -4.52506 0.21331 \n", "384 0.615 0.767 0.627 0.36482 0.20261 -4.51013 0.23407 \n", "385 0.853 0.919 0.641 0.35845 0.31091 -4.48608 0.29871 \n", "386 1.194 1.237 1.019 0.21560 0.39844 -4.43437 0.40258 \n", "387 1.375 1.519 1.070 0.10063 0.35018 -4.38986 0.45658 \n", "388 1.500 1.770 1.434 0.11973 0.23962 -4.34934 0.48510 \n", "389 0.710 2.690 3.072 0.44466 0.25849 -3.97067 0.22353 \n", "390 0.394 1.404 2.794 0.33403 0.15767 -4.09747 0.14173 \n", "\n", " V_A2 V_A3 W VI \n", "0 0.15220 0.05270 -4.382541 0.64273 \n", "1 0.23806 0.11597 -4.381439 0.65438 \n", "2 0.11492 0.03423 -4.444756 0.66872 \n", "3 0.21045 0.09417 -4.445771 0.68013 \n", "4 0.08027 0.03307 -4.503197 0.69345 \n", "5 0.16960 0.07348 -4.507678 0.70545 \n", "6 0.04751 0.02070 -4.559776 0.71812 \n", "7 0.13032 0.06571 -4.567775 0.73119 \n", "8 0.10457 0.06160 -4.625248 0.75667 \n", "9 0.07758 0.04384 -4.680602 0.78184 \n", "10 0.00390 0.00353 -4.942121 0.59551 \n", "11 0.13022 0.04213 -5.004228 0.63687 \n", "12 0.20638 0.09897 -5.001994 0.64588 \n", "13 0.21671 0.09133 -5.066052 0.67584 \n", "14 0.13786 0.03666 -5.067152 0.66735 \n", "15 0.11585 0.03415 -5.131053 0.69597 \n", "16 0.20060 0.06418 -5.131434 0.70428 \n", "17 0.09335 0.04143 -5.191936 0.72332 \n", "18 0.16991 0.05255 -5.194019 0.73178 \n", "19 0.13973 0.05114 -5.255988 0.75947 \n", "20 0.06084 0.01015 -5.309856 0.77972 \n", "21 0.13165 0.03202 -5.315881 0.78891 \n", "22 0.02132 0.00212 -5.365246 0.80741 \n", "23 0.11748 0.01705 -5.373863 0.81697 \n", "24 0.07194 0.01306 -5.429613 0.84395 \n", "25 0.03449 0.00628 -5.486128 0.87476 \n", "26 0.01930 0.00542 -5.540927 0.90685 \n", "27 0.16198 0.06195 -4.447792 0.63973 \n", "28 0.12207 0.04000 -4.519118 0.66905 \n", "29 0.21353 0.09787 -4.519611 0.68031 \n", ".. ... ... ... ... \n", "361 0.11323 0.08717 -6.731875 0.81670 \n", "362 0.14226 0.09366 -6.731222 0.82815 \n", "363 0.13549 0.06911 -6.801142 0.85655 \n", "364 0.17649 0.07234 -6.802150 0.87220 \n", "365 0.13838 0.05370 -6.864467 0.88774 \n", "366 0.21101 0.03965 -6.870881 0.90933 \n", "367 0.11335 0.04019 -6.922619 0.91498 \n", "368 0.08409 0.02758 -6.978845 0.94130 \n", "369 0.18386 0.02679 -6.994039 0.96947 \n", "370 0.05951 0.02554 -7.022972 0.96275 \n", "371 0.15286 0.02033 -7.040111 0.99331 \n", "372 0.12843 0.02805 -7.105530 1.03111 \n", "373 0.13334 0.05093 -7.161193 1.06657 \n", "374 0.13244 0.06773 -7.204529 1.09378 \n", "375 0.10758 0.06600 -7.256976 1.12272 \n", "376 0.00852 0.00085 -6.325115 0.67930 \n", "377 0.08142 0.02164 -6.388383 0.71786 \n", "378 0.08009 0.02407 -6.436837 0.74205 \n", "379 0.07809 0.02470 -6.452878 0.74985 \n", "380 0.07430 0.02415 -6.468680 0.75729 \n", "381 0.07155 0.02388 -6.484807 0.76505 \n", "382 0.07012 0.02460 -6.500811 0.77291 \n", "383 0.07102 0.02752 -6.516763 0.78106 \n", "384 0.08539 0.04743 -6.549008 0.79956 \n", "385 0.10707 0.09287 -6.581568 0.82176 \n", "386 0.08680 0.16040 -6.648382 0.86824 \n", "387 0.04594 0.15988 -6.712884 0.91099 \n", "388 0.05808 0.11624 -6.774084 0.95088 \n", "389 0.09939 0.05778 -6.804383 1.11126 \n", "390 0.04734 0.02235 -6.861262 1.08384 \n", "\n", "[391 rows x 26 columns]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "DF = pd.read_table('../regression/classical/models_cep.dat', sep='\\t')\n", "DF.drop(columns=['Mode'], inplace=True)\n", "DF = DF[DF['M'] < 9]\n", "pd.set_option('display.max_columns', 500)\n", "\n", "DF['Period'] = np.log10(DF['Period'])\n", "DF.rename(columns={'Period':'logP'}, inplace=True)\n", "\n", "DF['W'] = DF['I_M0'] - 1.55 * (DF['V_M0'] - DF['I_M0'])\n", "DF['VI'] = DF['V_M0'] - DF['I_M0']\n", "\n", "DF['logR'] = np.log10(np.sqrt(10**DF['logL']) * (DF['Teff']/5777)**-2)\n", "\n", "print(DF.columns)\n", "DF" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "y_columns = ['logP', \n", " 'I_Amplitude', 'I_Skewness', 'I_acuteness', \n", " 'V_Amplitude', 'V_Skewness', 'V_acuteness', \n", " 'I_A1', 'I_A2', 'I_A3', \n", " 'V_A1', 'V_A2', 'V_A3']\n", "\n", "X_columns = ['M', 'logR', 'logL', 'Teff', 'I_M0', 'V_M0', 'VI', 'W']" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualize grid of models" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 956.601x590.859 with 12 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#sns.pairplot(DF[y_columns])\n", "fig, ax = plt.subplots(3, 4, squeeze=True, figsize=(6.64306*2,4.10318716*2))\n", "for i, ax_row in enumerate(ax):\n", " for j, axes in enumerate(ax_row):\n", " axes.plot(DF['logP'], DF[y_columns].iloc[:,1+3*i+j], '.')\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.suptitle('Cepheid H–R Diagram', y=0.99)\n", "plt.scatter(DF['Teff'], DF['logL'], c=DF['M'])\n", "plt.xlabel('$T_{\\mathrm{eff}}/K$')\n", "plt.ylabel('$\\log\\;L/$L$_\\odot$')\n", "plt.colorbar(label='$M/$M$_\\odot$')\n", "plt.xlim([6200, 4550])\n", "\n", "plt.savefig('HR.pdf', bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.suptitle('Cepheid P–M Relation', y=0.99)\n", "plt.scatter(DF['logP'], DF['M'], c=DF['logR'])\n", "plt.xlabel('$\\log\\;P/$days')\n", "plt.ylabel('$M/$M$_\\odot$')\n", "plt.colorbar(label='$\\log\\;R/$R$_\\odot$')\n", "\n", "plt.savefig('PMR.pdf', bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.suptitle('Cepheid P–R Relation', y=0.99)\n", "plt.scatter(DF['logP'], DF['logR'], c=DF['M'])\n", "plt.ylabel('$\\log\\;R/$R$_\\odot$')\n", "plt.xlabel('$\\log\\;P/$days')\n", "plt.colorbar(label='$M/$M$_\\odot$')\n", "\n", "plt.savefig('PRM.pdf', bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.suptitle('Cepheid P–L Relation', y=0.99)\n", "plt.scatter(DF['logP'], DF['logL'], c=DF['logR'])\n", "plt.ylabel('$\\log\\;L/$L$_\\odot$')\n", "plt.xlabel('$\\log\\;P/$days')\n", "plt.colorbar(label='$\\log\\;R/$R$_\\odot$')\n", "\n", "plt.savefig('PL.pdf', bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cross validation" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": true }, "outputs": [], "source": [ "np.random.seed(0) \n", "splits = KFold(n_splits=2, shuffle=True, random_state=0).split(DF)\n", "\n", "ml = TransformedTargetRegressor(regressor=Pipeline(\n", " [('scaler', RobustScaler()), \n", " ('mlp', MLPRegressor(hidden_layer_sizes=(100, 100), \n", " max_iter=2000, activation='relu', solver='lbfgs', tol=1e-7))]),\n", " transformer=RobustScaler())\n", "lm = LinearRegression()\n", "\n", "ml_preds = {} \n", "lm_preds = {} \n", "\n", "for split in splits:\n", " training_idx, testing_idx = split\n", " \n", " ml.fit(DF.iloc[training_idx][y_columns], DF.iloc[training_idx][X_columns])\n", " ml_pred = ml.predict(DF.iloc[testing_idx][y_columns].values)\n", " \n", " lm.fit(DF.iloc[training_idx][['logP']], DF.iloc[training_idx][X_columns])\n", " lm_pred = lm.predict(DF.iloc[testing_idx]['logP'].values.reshape(-1, 1))\n", " \n", " for ii in range(len(testing_idx)):\n", " ml_preds[testing_idx[ii]] = ml_pred[ii]\n", " lm_preds[testing_idx[ii]] = lm_pred[ii]\n", "\n", "ml_pred = np.array([ml_preds[ii] for ii in range(len(DF))])\n", "lm_pred = np.array([lm_preds[ii] for ii in range(len(DF))])" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0 [0.89920164 0.84726445]\n", "1e-05 [0.90443243 0.84731028]\n", "0.0001 [0.91943472 0.8606015 ]\n", "0.001 [0.8964787 0.84558117]\n", "0.01 [0.90326339 0.86531132]\n" ] } ], "source": [ "for penalty in [0, 0.00001, 0.0001, 0.001, 0.01]:\n", " ml = TransformedTargetRegressor(regressor=Pipeline(\n", " [('scaler', RobustScaler()), \n", " ('mlp', MLPRegressor(hidden_layer_sizes=(100, 100), \n", " max_iter=2000, activation='relu', solver='lbfgs', tol=1e-7,\n", " alpha=penalty))]),\n", " transformer=RobustScaler())\n", " print(penalty, cross_val_score(ml, DF[y_columns], DF[X_columns], cv=KFold(n_splits=2, shuffle=True, random_state=0)))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute R^2, standard deviations, and percentages of improved estimates " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "all_r2s = []\n", "all_sds = []\n", "\n", "for pred in (ml_pred, lm_pred):\n", " \n", " r2s = []\n", " sds = []\n", " \n", " for idx, name in enumerate(X_columns):\n", " std = np.array(np.array(pred[:,idx]) - DF[name]).std()\n", " sds += [std]\n", " \n", " SS_tot = np.sum((DF[name] - DF[name].mean())**2)\n", " SS_res = np.sum((pred[:,idx] - DF[name].values)**2)\n", " R2 = 1-SS_res/SS_tot\n", " \n", " r2s += [R2]\n", " \n", " all_r2s += [r2s]\n", " all_sds += [sds]\n", "\n", "all_r2s = np.array(all_r2s)\n", "all_sds = np.array(all_sds)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "ml_err = []\n", "lm_err = []\n", "\n", "for idx, name in enumerate(X_columns):\n", " ml_errs = abs(np.array(ml_pred[:,idx]) - DF[name])\n", " lm_errs = abs(np.array(lm_pred[:,idx]) - DF[name])\n", " ml_err += [ml_errs]\n", " lm_err += [lm_errs]\n", "\n", "ml_err = np.array(ml_err)\n", "lm_err = np.array(lm_err)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "M 74\n", "logR 74\n", "logL 81\n", "Teff 85\n", "I_M0 81\n", "V_M0 82\n", "VI 84\n", "W 76\n" ] } ], "source": [ "for idx, name in enumerate(X_columns): \n", " print(name, int(np.round(((lm_err[idx,:] >= ml_err[idx,:]).sum()) / lm_err.shape[1] * 100, 0))) " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 956.601x265.887 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = ['$M$', '$\\log\\;R$', '$\\log\\;L$', '$T_{\\\\rm{eff}}$', '$M_I$', '$M_V$', '$V-I$', '$W$']\n", "\n", "plt.rcParams[\"font.size\"] = 18\n", "x = np.arange(len(labels)) # the label locations\n", "width = 0.45 # the width of the bars\n", "\n", "fig, ax = plt.subplots(figsize=(6.64306*2,4.10318716*0.9))\n", "plt.suptitle('Cepheids', y=0.99)\n", "rects1 = ax.bar(x - width/2, all_r2s[0,:], width, label='Machine learning')\n", "rects2 = ax.bar(x + width/2, all_r2s[1,:], width, label='Linear model')\n", "\n", "plt.axhline(1, c='gray', linewidth=1.25, linestyle='--')\n", "\n", "ax.set_ylabel('$R^2$')\n", "ax.set_xticks(x)\n", "ax.set_xticklabels(labels)\n", "ax.set_ylim([0, 1.15])\n", "ax.legend(loc='lower right')\n", "\n", "def autolabel(rects):\n", " \"\"\"Attach a text label above each bar in *rects*, displaying its height.\"\"\"\n", " for rect in rects:\n", " height = rect.get_height()\n", " ax.annotate('%.3f' % height,\n", " xy=(rect.get_x() + rect.get_width() / 2, height),\n", " xytext=(0, 3), # 3 points vertical offset\n", " textcoords=\"offset points\",\n", " ha='center', va='bottom')\n", "\n", "plt.rcParams[\"font.size\"] = 12\n", "autolabel(rects1)\n", "autolabel(rects2)\n", "plt.rcParams[\"font.size\"] = 18\n", "#autolabel(rects3)\n", "\n", "plt.savefig('R2-ML-LM.pdf')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 956.601x265.887 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = ['$M$', '$\\log\\;R$', '$\\log\\;L$', '$T_{\\\\rm{eff}}$', '$M_I$', '$M_V$', '$V-I$', '$W$']\n", "\n", "x = np.arange(len(labels))\n", "width = 0.45\n", "\n", "fig, ax = plt.subplots(figsize=(6.64306*2,4.10318716*0.9))\n", "plt.suptitle('Cepheids', y=0.99)\n", "rects1 = ax.bar(x, (all_sds[1,:] - all_sds[0,:])/all_sds[1,:], width)\n", "\n", "ax.set_ylabel('Accuracy improvement\\n$(\\sigma_{\\\\rm{LM}} - \\sigma_{\\\\rm{ML}}) / \\sigma_{\\\\rm{LM}}$')\n", "ax.set_xticks(x)\n", "ax.set_xticklabels(labels)\n", "\n", "ax.set_ylim([0, 0.8])\n", "ax.set_yticks([0, 0.2, 0.4, 0.6, 0.8])\n", "locs, labels = plt.yticks()\n", "ax.set_yticklabels([str(int(loc*100)) + '%' for loc in locs])\n", "\n", "def autolabel(rects):\n", " for rect in rects:\n", " height = rect.get_height()\n", " ax.annotate('%.1f' % (height*100) + '%',\n", " xy=(rect.get_x() + rect.get_width() / 2, height),\n", " xytext=(0, 3), \n", " textcoords=\"offset points\",\n", " ha='center', va='bottom')\n", "\n", "autolabel(rects1)\n", "\n", "plt.savefig('sds-ML-LM.pdf')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "M std: 0.350\n", "M R2: 0.799\n", "logR std: 0.011\n", "logR R2: 0.994\n", "logL std: 0.044\n", "logL R2: 0.961\n", "Teff std: 107.694\n", "Teff R2: 0.885\n", "I_M0 std: 0.101\n", "I_M0 R2: 0.969\n", "V_M0 std: 0.131\n", "V_M0 R2: 0.936\n", "VI std: 0.033\n", "VI R2: 0.909\n", "W std: 0.065\n", "W R2: 0.991\n" ] } ], "source": [ "ml_stds = []\n", "ml_r2s = []\n", "\n", "for idx, name in enumerate(X_columns):\n", " std = np.array(np.array(ml_pred[:,idx]) - DF[name]).std()\n", " print(name, 'std: %.3f' % std)\n", " ml_stds += [std]\n", " \n", " SS_tot = np.sum((DF[name] - DF[name].mean())**2)\n", " SS_res = np.sum((ml_pred[:,idx] - DF[name].values)**2)\n", " R2 = 1-SS_res/SS_tot\n", " ml_r2s += [R2]\n", " \n", " print(name, 'R2: %.3f' % R2)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "M std: 0.564\n", "M R2: 0.479\n", "logR std: 0.017\n", "logR R2: 0.986\n", "logL std: 0.084\n", "logL R2: 0.860\n", "Teff std: 209.088\n", "Teff R2: 0.568\n", "I_M0 std: 0.193\n", "I_M0 R2: 0.886\n", "V_M0 std: 0.258\n", "V_M0 R2: 0.754\n", "VI std: 0.070\n", "VI R2: 0.605\n", "W std: 0.105\n", "W R2: 0.976\n" ] } ], "source": [ "lm_stds = []\n", "lm_r2s = []\n", "\n", "for idx, name in enumerate(X_columns):\n", " std = np.array(np.array(lm_pred[:,idx]) - DF[name]).std()\n", " print(name, 'std: %.3f' % std)\n", " lm_stds += [std]\n", " \n", " SS_tot = np.sum((DF[name] - DF[name].mean())**2)\n", " SS_res = np.sum((lm_pred[:,idx] - DF[name].values)**2)\n", " R2 = 1-SS_res/SS_tot\n", " lm_r2s += [R2]\n", " \n", " print(name, 'R2: %.3f' % R2)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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NxWw2s337doflRdbKpZGSkoJGo+HWW291ud+ivqHkf+fo6OhS2wcFBWE2m0u19i7i5MmTKIrCkCFD2Lx5MwMGDODEiROVElxDcuNIUXRzTCYTFovF9rdWq2Xo0KFA4VJf0f8XUbQ8dP0b7KZNm9Dr9fj5+dmOFb2pFolKkSvBtGnTOH/+vK2eqqpMmTLFrm1V0blzZ3Q6HUuWLLG5IhTx888/c+zYsVJD37m6BLl8+XJycnIIDw8nICCAn376qdiD8dChQ2zcuBFfX182b96MEMJuf7AompA7+7NNmzaNyMhIZs2axaRJk3j11Vdp3Lixw7q7du1y6UXotttuY9iwYUDhMvfFixdLrHvp0iUmTZqEEIJ7770XgPfee4/ExES7ep988ondfrUjrFYre/bsoVevXiX6RpZEUZSjGTNm2JbMi1iyZAnp6emlti8a+7fffmt3vGhf9drf7JIlS8jKygIKAwF88MEHNG3aVAYNd1PknqKbc/78+WJ+hI899hhffPEFRqOR1q1b25UV/dDi4+PtjoeEhBATE8PkyZPp1asXe/futQU4jo6OpnXr1nTv3p0HHniArVu3MmDAALp160ZAQAB//PEHTz/9tM14ochQIzs7266Por+vX37Nzs5GFFo62/zJrly5AhR3Ri8ycCgyVgkNDeWFF15gzpw5vPDCCzz44IM2w5Dk5ORiD6XrufbB42i5KiMjg++++47PPvuMJUuW4OHhwdixY3nrrbd47bXXWLduHS1btiQ2NpZjx46xaNEi2/0E+OqrrwgICCA9Pd02S9qzZw8//vgj3bp1sxnmFF3v9Vx7H/R6vcN7UETRgzUzM9O2bFj0b+HsPkLhUumsWbPYsWMH9evXt71M6PV6WrduzdNPP21bRTh79ixDhw7FYDCwe/dup8uT48aNQ6fTMXv2bB577DFGjBhBREQE9evXR1VVYmNjWbduHb/88gsffvghiqLQq1cv7rjjDvbt20f//v3p1asXtWrV4rfffiMsLKxYzN5jx45x7Ngx2rRpA8A333yDoih2RmaufjfDw8Pp27cvP/74I48//ji9e/cmODiYw4cPYzAYmDVrVrH7XvRfKNxz/umnn1i2bBn+/v7079+f5ORkZs+eDRT6BAcHB/PMM89gNpuZOXMmEyZMsP1b5efn06tXr1LvqaR60P63KBSFxK1Yt24dX375Jbt27eLYsWMkJSXRoEEDgoOD0el0mEwmIiIibEL1559/MmfOHL7//nssFgtZWVkcP34cLy8vmjVrZjNI2LdvH7GxsQwZMoRu3bqxZcsWYmNjefjhh6lfvz4RERGoqsqFCxc4deoUQgjGjh1Lv379gMIH09SpU4mJiSEtLQ2LxULbtm3ZunUrc+bMITMzk4sXLxISEkJeXh7z589n7969mEwmkpOTCQ4OJjMzk6lTp3LhwgXS0tLQ6/WEhYWxceNG5s2bR35+PpcvX6ZJkyY0btyYzp074+vrS2xsLIcOHSI+Pp6OHTvy7rvvljp7jYqKYvr06bYXhM2bN7Nq1SqWLFnCokWLmDNnDtOmTWPnzp0EBAQwceJEFEXh1ltvpUmTJrb+Ll68yC233MKUKVNsy26tW7fm9OnTHD9+nD/++IOWLVvy2muv8dtvv3H69GkaN25Mbm4uM2bMIDk5mUuXLqHRaAgMDCQoKIj09HQ+//xzW4SitLQ0WrRowblz55g6dSpJSUkkJibi6+uLp6cnS5cuZf369QghiIuLw9/fH41Gw8cff8yJEye4cuUKFouFli1b8scffzBjxgwyMzNJSEggNDSUli1b4ufnR1paGgkJCcTFxXHq1ClOnTrFyZMn2bVrFydPnuThhx8GClckNm/eTKNGjXjiiSdKnY1DYbSgzp0706tXL/Lz89m0aROzZ89m9uzZrFixguPHjxMeHs7//d//2WbXGo2GXr16kZuby/nz5zl8+DCZmZkMGjSIMWPG2PrMysri22+/pVWrVly6dImlS5eycuVK8vLy+PTTT23h+7Zs2cKcOXNIT0/n4sWL+Pj40Lp1a7766itWr16N2WwmLi6Oli1bUrduXVuAiJiYGA4dOkRKSgo9e/Zk0qRJeHh4cOnSJVasWMGqVaswm83Exsbi7e1NixYt8PPzo0ePHly+fJn169ezcuVK8vPzefrpp4mPj2fQoEH07dsXLy8vfv75ZxYvXszBgwc5d+4cq1ev5uGHH2bQoEFlfi5IKh9F3KipnEQiuSk4c+YMn332GdOnT7eLAJOXl0dcXByvv/46ixYtcruA4xcvXqRHjx7cddddLFy4sLqHI6nhyD1FieRvgMlkYuTIkfTu3btYSDQvLy+MRiP33HOP0xmhRFLTcds9RVVVmT9/PikpKfj6+nLu3Dk6duzIk08+Wd1Dk0huOk6cOEFMTAyXL192WJ6QkIBer78hf0WJpCbgtqI4Y8YMjh07xpdffgkUbk4/9NBDBAUFyQ1qiaSMNG/enJCQED777DMuXrxI165d8fPzIzU1lf3791NQUMB//vOf6h6mQ4qMYzIzM6t5JJK/A25raPPee+/Rtm1bm+mzVqtl//79pKWl0a1bt2oenURyc2EwGOjduze5ubns2LGD1atXs337djIzM+nTpw/Dhw93GM6suvn111+ZOnUqly5dIi0tjZycHPR6fbFMGxJJReG2hjZDhw7l3LlzREdH4+/vjxCCPn36EBkZyWOPPVbdw5NIJBJJDcRtRfHgwYM8++yzNGnShP/973+sWrWKoKAgRo8e7TB3WlZWlp0fERQaF8TFxdG0adNKycgtkUgk1YnVaiU5OZlbb73VYaSqjIyMMgXN9/HxISAgoCKHeNPhtqII8Mcff/Dyyy+TkZHBI488wnvvvVfiEs/06dP54osvqniEEolEUv1ERUUVy9iRkZHBgz17kJXtuij6+/uzadOmv7Uwut8mwjXExcXx4IMPcuHCBb7//nsSEhKYNWuWQwu55557joEDB9odu3TpEs8++yxRUVG2mJYSiURysyOEYO7cuTRp0oQPP/zQFmHpWnJycsjKzuHbGVMIDant9JyJySk8+/J4cnJypCi6I4sXLyY6OprFixejKAozZsxg+vTpfPLJJ7z55pvF6vv5+ZUY3aRu3bpyY14ikdy0mM1mVqxYQUREBLVrFwrc5MmTuXjxIh9++GGp20OhtYNoULe4aBZD3Hhg/ZqA24ril19+SWRkpM2ZeNSoUZw5c4Z169Y5FEWJRCKpicTFxfHZZ58RExPD2bNny/78U9XCjyv1yoAQgvnz57NkyRJSUlJo3bo1kyZNom3btiW2OXnyJAsXLqRx48ZkZWVx6dIl/v3vf7vVpMVtw1eYTKZiKYHuvPNOh0Y2EolEUtMQQrB+/XrGjx9PTEwMdevWZfDgwWU/DwIhVOcfymZeMnfuXDw8PFi+fDkrV65ECMGIESNKzEyTlpbGc889x5AhQ3jxxRcZN24c99xzDyNGjCjzNVUmbiuK/fv3Z/369XZpeA4fPkz//v2rcVQSiURS+WRkZPD+++8zb948TCYT3bt356OPPqJly5ZlP1nRTNGVj4vk5+fTtGlTnn76aYKCgmjRogWRkZEkJiaWmHZr//79pKen26Uqa9++PadOnbJl7HEH3Hb59PXXX2f27NmMHTuW5s2bk5ubS5MmTYiMjKzuoUkkkhqCmpOGNTUWFAVtcBM0tarfwCQ/P5/XXnuN9PR0fHx8eOmll+jcuXP5T2i1gNXsWj0X8fT0JCIiwu5YVlYW4eHhBAUFOWxTlB1l2bJltvybx44do0GDBnZ5SasbtxVFvV7PqFGjqnsYEomkhmKOOYg14RSohatR1viTaBu0Rd+w5D2xqqBIcI4ePcro0aPLnEC5GEJ1zYjmap2EhIRiRaUZMkJhrtJNmzaV6hZ3xx130LNnTz766CPy8vLo1KkT3333HXPmzHGrbTG3FUWJRCKpLNQr6XaCWHjQivXin2hrN0bj6Vul4zl//jzZ2dmEh4cDhYnE//GPf1SMWAgXl0aviuJTTz1VrGjUqFGMHj262PGsrCwWLFhAVFQUGRkZeHt7M2XKlBL9yadOncobb7zB9OnTmTdvHgsXLuSWW24p2/VUMlIUJRLJ3w5r2sUShUJNv4SmXliVjEMIQXR0NEuWLMHb25uPP/6YoKCgCk3hVWRI40o9wKFfd0mzRF9fX4YPH05ERATz5s0jOjqaDh068PTTTzusn5WVhdls5qWXXmLhwoUMGTKEjz/+uNhSbHXitoY2EolEUlkomlLCPipV81hMS0tj8uTJLFy4EIvFQufOnalVq1bFd6QKFw1tCq1Gi/y6r/2UJIqKouDt7U1YWBgfffQRHTp0YM+ePQ7r5uTk8NRTT/Hoo4/y6quvsnLlSurVq8e4ceMcLtlWF1IUJRLJ3w5NUENw5IIgVDSBle8zt2fPHl599VWOHDmCv78/EyZMIDIyEg8Pj4rvrGhP0ZXPDXL77bej1+sdlq1bt4709HTuu+8+oDCd2YwZMzCZTPz000833HdFIZdPJRLJ3w5RcAVQKC6MCphywaPyki0vWbKElStXAoUiMnLkyMoNq2Y1u2h96kIdJyQmJtKlSxeHZSaTyc7FDuCWW24hMDCwQpeLbxT3GYlE8jdGvZKB+fRvmE/uQs1Kqe7h1HjUrGQczhRtZZVHu3bt8PDwYNiwYUycOLHy44wKF5dPy5AbIisri/fff5/9+/fbjh0+fJjMzEweffRRAObMmUO/fv1sPogPPPAAiqKwbds2W5vY2FhUVXWrHLlypiiRVDPmcwewHN4MCBACy/Ff0RnvRt/mvuoeWo1F0ZW0TClAX7FLmKqqcuTIEdq1awdAmzZt+PLLL0t1cahQyuiS4Qpms5m9e/cSFRVFly5d6NixI4GBgcycOdMWhzU9PZ2UlBQKCgoAaNCgAQsWLOCLL75g165dBAQEEBsby7x586hfv365Lq0ykKIokVQjIi+7UBDVaxynhYrl9B60DcLQ+NepvsHVZEpwGSgsc7wnVh6SkpKYPn06x48f580337QJY5UJIlRK7NPg4GBWr15dap3x48czfvx4u2O33nors2bNcrmf6kCKokRSjVjjTxdubRUrsGK5eAyDFMVKQb2SUWKZuJIBQY1uuI9ffvmFuXPnkpeXR2BgYLUlOi90ybC6VE8iRVEiqV4UBceqSCnHJTeMOb98ZS6Qm5vLnDlz+PXXXwHo1KkTL730UtXODq+lEpZPazJSFCWSakRbtyXmQ5sdFGjRNWxd9QP6u+BRij/gDViexsTE8MEHH5CcnIyHhwdDhw6lR48e1RvGrIwRbf7uSFGUSKoRxcsHXbsILIc2UWgNKQANOmOXm2o/UVwNJq1ob45Hii6wAabrw7wBKFq0AeU3+ggKCsJisdCiRQteeeUV9zAgqYSA4DWZm+MbLJHUYPTN2qMNbY56+QRCVdHWa4nG9waDQFcRwmLCkp341wNVq0PnW6cU6073QPGtjSagHmpGwl9GThotmuDGaGqVLWNDYmIiwcHB6HQ6fH19efvtt6lTp06J8T+rHLl8Wibc5F9NIvl7o/H2Q3PLXdU9jDIhhIol83LhbKtoedBiwpIZjy6wMYobOWRfj6Io6I33oKbFYU06X5g6qk5zNIENXD6HEIKtW7cyf/58+vTpYwuk7Razw2upBOvTmowURYlEUi5EwRWE2YRy7YxIURBmE8KUg+JZTYYlLqIoCtrgxmiDG5dYR6hWRG4m6AxoPH1sx7Ozs5k9e7YtzmdycjJCCLdKgWRDzhTLhBRFiURSLtSMZNA4EAGtFjUtEU199xZFZ1iSL2A5/8fVSC8CxcsPQ6v7+PPUWT7//HPS09Px8vJi+PDh3Hfffe4piPBXRBtX6kmkKEokkvJhPX8SpXET8LjO/85UgDXmArr6LatnYBWAmpOG5dxeO0MccSWDpN1rmDxjNUIIWrVqxZgxYwgNDa3GkbqAXD4tE1IUJRJJuVDMVtSEi2jqNUYxGAAKl06T41EKTNU8uhvDknCyuGUqAi+toGmdAO66P4JHH3202hzyy4KwWhAuWJ8KaX0KSFGUSCTlRNfhXq68PRztHZ3RdugMgPXQb1j/2EmtN9w7lFcR1sxbQgJxAAAgAElEQVRErPEnCw1t6rVG61cbAFGQ57C+3mBg9IgXaXzrnVU5zBtD7imWCSmKEomkXGh8/fF6bhx5X0/Bum9X4UHViuez49AEuL9LScHx7YiMy7a/1bSLWIIb42HsiiawHpbsZJTrhEIRKo1ahVf1UG8M6bxfJqQoSiSScqO7rRM+7y/GcvIACIEurAOKh1d1D8sp1vTLdoJYhEiNxZrdiqPxOdTOvIKftwGD7uoSqUaLtn5rlArOolHpyJlimZCiKJFIbgjFwxN9eOfqHkaZsFw+UWLZmV3reXfu93h76Hm2dxc6t2mKztMbXb1WaIMaVuEoKwjVRetTVVqfghRFiUTyN0RYHRsCCSHISE1Bp9Px2KDB9Ojf331dLVylkmaKQgjmz5/PkiVLSElJoXXr1kyaNIm2bds6rH/gwAEGDx7ssGzYsGG8/vrrZeq/spCiKJFI/nYonr6IK+kOy7IKVN577z2aN29exaOqJCrJJWPu3Ll4e3uzfPly0tPTeeONNxgxYgTbt293+CKxatUqXn/9dZo1a2ZX/tprr9GzZ88y9V2ZSFGUSCR/O7S1ArGkxhY7LlC498E+eDasIYIIha4lrrhbFHNBKZn8/HyaNm1KREQEUBgIPTIykpEjR5Kenk5QUJBdfavVSpcuXejTp4/d8T///BMvLy86dOjgct+VjfsGJ5RIJJJKQhPcGNVBvkqNRotHnWbVMKJKpGim6MrHRTw9PW2CWERWVhbh4eHFBBFAq9UWE0SADRs2EBER4VZL1OWaKa5Zs6ZcnYWGhtK58821IS+RSGoWeXl5fPPNIqyJZ3mmezs0Gg06nb7QerbFXSgG97eeLRNl3FNMSEgoVuTn51dqkuSUlBQ2bdrEF198Uaahbdy4kXfffbdMbSqbconihAkTytXZvffeK0VRIpFUG2fOnGHatGnEx8ej1+tpdVc37r89rNB5P7Dhzedu4Qpl3FMsyvZxLaNGjWL06NHFjmdlZbFgwQKioqLIyMjA29ubKVOmuJQ26+jRo1y5coWOHTs6H1sVUi5RfOSRR3j33XfR6/Uut8nNzeXLL78sT3cSicSNEUJFmPMBUPSeKIr77cqoqsqaNWtYtmwZVquVJk2a8Morr9C4cckZMmoOwkXL0kKXjKioKOrWrWtXUtIs0dfXl+HDhxMREcG8efOIjo6mQ4cOPP30005727BhAz179nS7UHnlEsU2bdqUSRABvL29qV27dnm6k0gkbopqysWanVj4PFUAAVrfOmg8alX30OyIi4uzCeLDDz/MkCFDMFyN11rjKeNMsW7dujRs6Jo/pqIoeHt7ExYWxkcffURcXBx79uxxWRTfeustl/qpSsolinfdVb5kqOVtJ5FI3A+hWrFmJVI0wyj6jzU7CUXfCEXjPsbtTZo0YejQodStW5f27dtX93CqlirMknH77bcTHx/vtN7Ro0fJzMykU6dON9xnRVOub23r1q3L1Vl520kkEvdDLbhSapnWy78KR2NPXl4eX331FZ06dbK9jPfu3duujhACNf0y1uTzhXuKIc3QBNRzK0vICsFqLfy4Uu8GSUxMpEuXLk7rbdiwgR49epR5xbEqcL/Ff4lEcnMgVGzTQ/uCao2jeeLECf7973+zfft25s+fj8VS3EdPCIH5zG7Mp3ehpsWhpsZiPrWzMKlwTaMoybCzTxmSDGdlZfH++++zf/9+27HDhw+TmZnJo48+CsCcOXPo168faWlpxdoXuWK4I+6zviGRSKoFIQQiPwdhKUDj6YOi93SpncbghZp7dSPRDgVFX/VuDRaLhZUrV/Ldd98hhKB58+a88sorDi0hRU4qatpFe4d11YI1+Tzaui3ReAdU4cgrmUoI82Y2m9m7dy9RUVF06dKFjh07EhgYyMyZM22GM+np6aSkpFBQUGDX9tixY6SmptK1a9cyXUZVUamiaLVaSU9PJzAw0O0sjCSSmoQQKiI/B0XnUSa3AmExYb7451XrUQVQ0fiGoAtt6XQZUdF5oHj4IApy+EsYFRSPWmhcFNaKIj4+ns8//5zTp0+jKAoDBw7kiSeeKNE1wJp+2XEEF1VFzYivWaJYCXuKwcHBrF69utQ648ePZ/z48cWOt2nTxm6G6W5Uiijm5+ezdOlSgoODCQoKIjU1FZPJRP/+/f8+Fl8SSRVhSTyD+ezeq0tgKpqghhjC7kXROt+vMcefRJhy7Y6p2SlYPXzQBdZ32l7rUxvhUQs1Pxvg6kzTu3wXUk6EEHz88cfExMQQHBzM6NGjufXWW8t7NnAQ6eamRgjXlkbLsHxak6kUUVy6dCmDBw/G0/Ovt8WCggKWLl3Ks88+WxldSiR/S6wZ8ZhP77ab9ahpFzEd/wWPW3uU2lZYzYj8LAcFKmpmPLggioqioBi80RiqVgivH0NkZCTr168nMjISHx8fF1qVLAA1Thpk6qgyUeGGNj///DN9+vSxE0QADw8P+vTpw9atWyu6S4nkb4sl7kjxZUChoqZfLjYDLIZqpaRZkShDcGghBKo5H9Wcj6ii2caff/7JihUrbH+HhYUxduxYFwURSp4NKig1TRZVS2FAcGcf1YWg4X8DKnymmJmZSWhoKACLFy8mJiaGiRMnAhASEkJmZmZFdymR/G0R+SW4RWg0CFMeSmkzOJ0HaPVgKbiuQEFTK9il/lVzXqGvYpEYKgpa31A0lRQ/1GKxsGTJEqKjoxFC0LZtW9q0aVPm82gD62ONP1H8hUKjQRPgfIZ8U6EKhCuzQDlTBCpBFK/dnD98+DCnTp2q6C4kEslVNAGhWPOyKLboJ1QUJ36CiqKgr9sS86VjV0VNgKIBrQ5dcCOnfQvVijUzwb5vIbBmJaAENUbRVKxx3aVLl5g2bRrnzp1DURQGDRpEq1atynUuxSe4MFNGatxfMySNFm2dFmi8q8+/slKoQuf9mkCFi6LBYCAnJwcfHx8++OADu7KcnBy3dNaUSG5WdI3CsSZdAKsZmzhpdOiatEfROv95a7wDMDTpgCUjHsz5KF7+aP1DXWorTKU57+dUmPO+EILNmzfzzTffUFBQQGhoKGPGjCm3IMLVF4IWnVCDG2NNuQAoaOs0Q+MXWiFjdiuEi36j0tAGqARR7NmzJwsXLmTYsGHFylavXu0wArtEIikfGk8fPO7ohyXmEGpGPBi80De6DW3tJi6fQzF4oa9T9qS6Qq0a5/3o6GgWLlwIwP3338+wYcPw8rrx5VlFUdAG1kfrgkHRTY0Qri2NSlEEKmmmOGDAAObMmcNtt91Go0aNiIuL48iRIwwcOBCNxnXbnmHDhvHrr78WO67T6dizZw++vr4VOXSJ5KZE4+mLodU9Vd6vovNAWMwoOvvVH2E2o2grzvWqR48e/PLLLzz66KNu6/Dt1sjl0zJRKS4ZwcHBvPjiiyQmJnL58mWaNWtW5jyKMTExWK1WPvvsMztL1u3btxMbGysFUSKpZqxnjkKgD0IImy2BEAIUsJ46gua2u8t13oKCAtavX0/fvn3R6/X4+Pjw8ccf17yYpFWFFMUyUakRbUJDQ22WqGXl3LlzzJw5E29ve+u5ZcuW0atXr4oYnkQiAaxxF8hf9x1qwiV0bTvg0esRNL7O9wPVxAsoQeF2YqUoCgIFa3IcesouijExMUybNo3Y2Fiys7N55plnbOeVlBNVdS3YtxRFwI0Dgj/wwAPFBDE7O5vdu3fTs2fPahqVRFKzMB/4jawJL2E+vBc1L4v8javIGvs8alqK07bC2wcchW/UasGnbCs5QgjWrl3L+PHjiY2NpV69emVeXZKUgCpc/0huroDgP/30E+Hh4QQHF/ehysrKIivLPjpHQkJCVQ1NIrnpEEJwZf7neDz/LJp69QpnEzodlr17yfvuW2q9+Gqp7ZW6DUouCy257HrS0tKYMWMGhw4dAgqN9Z5//vliAUAk5aQSAoLXZG4qUdywYUOJS6fffPMNX3zxRRWPSFJTUJMuUrDuG6wXjqN41ULftR/6Lg+hlMEwrDoRqoqakori44PG2zXLTDUlEX1EdzQNGqBcEzhbd+edmDdvcdpeKSXIf2ll15KUlMT48ePJzs7G19eXkSNHcuedd7rUVuIirs4C5UwRKKcoHjx40OXs1YcPHyY8PLw83diRk5PDrl27ePvttx2WP/fccwwcONDuWEJCgnQBkThFTU8id+YEKMgHBKIgD9OmxYi0BDz6D6/u4Tkl96dtZHz0OWpuLgiBV/duBE58FY2TmZYAtC1a2AkigGIwoOt4h9N+RU4OiofjjBwiN8elsYeEhNCqVSvMZjMvv/wyQUFBLrWTuI5Q1avuM87rScopiosWLaJVq1ZOfYWuXLnC119/zdSpU8s1uGvZsmULbdq0KdFwx8/PDz8/vxvuR/L3w7R9DZhN2PncmQsw/74FQ48nUGq5r6VzwcEjpL89BXFNzrq8n39BFJio/cF/S29sMZVsXOHpfLap8fYrMUqoxqPkGKRnz57F29ubevUKs9y/8soreHp6SmOaykLgop9ipY+kGPHx8Zw4cYKGDRvSsmXLqh+AA8olimvXruXHH390uX5FiKI7Z2qW3Nyocacc59bT6lFTLqGtFVb1g3KR7G8W2wkiACYT+Tv3YE1LRxsUWHJjRYvIz0e5Lp2bsFqxnjkNTlYxNbVDseakggMx09SuW+yYqqp8//33LF26lGbNmvHuu++i0+kqxBFfUgpWq2vWp67UuQYhBPPnz2fJkiWkpKTQunVrJk2aRNu2bZ22Xb9+PfPnz6dbt2488sgjNGrkPKxgVVHuPUW9Xk/t2rVLrZOTk0N2dnZ5u7A7z86dO5k0adINn0siuR6lTkOIjyluaGA1owSEVM+gXMRy6bLD44pehzU5pVRR1Hh6Yfo+Go8nBoFWi6LVIsxmKCjA8sd+eNJJ53l5hbNNw3XLtKYC4ArU+mspNCUlhc8//5xjx44B0KpVqyrLqPG3p5L8FOfOnYu3tzfLly8nPT2dN954gxEjRrB9+/YSZ/2qqvLf//6XnTt3Mnv2bG655ZYy9VkVlEsU58+fz7fffovZbObZZ5+lW7duJdZ9//33yz24In766SdatmxJw4YNb/hcEsn1GO4bQN7RvWC+Zsal06NtdTsaf9eyRVQXHu1vw3LxElive6BZrOgalf570QQEoZgE+bPmoOvaGU1wMNZz57D8vg/Pvo877dt6eC8iwBfqN7LFShVWCyI1CUviUbQPFr7979y5kzlz5nDlyhUCAgJ4+eWX6dChQ/kuWFJ2KiHMW35+Pk2bNrWt3gUFBREZGcnIkSNJT08vcW/4008/ZfXq1axatcotBRHKKYpdunShS5cuxMTE8O233zJ9+nQef/xxBgwYgMd1G+8DBgy44UGWZnUqkdwo2npN8Xx2AgVrZiPSk0GjQdehGx79XqjuoTnF9/mnyN2yDZGbZ3uoKZ6e+D73pEtWqN5j3iD79UjMq1bbjmkaNMaz3yDnnatq4dKpco2FrqIp/FyddcyaNYstWwotWTt27MiIESPw969hWSjcnUoICO7p6VlsOysrK4vw8PASBfHs2bPMnz+ff/zjH26zf+iIG3LJaNKkCW+++SY5OTksX76cJ598kvvuu4+nnnqKkJDCZafWrVvf8CC//PLLGz6HRFIaulvC0Y2bgSjIA53epSwR7oCufj3qLPiSrFnzKThwGE1gAH7PDcErortL7Qt+/K7Yw1BNTsDy5wH0HTqV2lZpdRsYFDu3FUWjgdD6KH6Fv/+GDRvi4eHBc889x4MPPuh2xjTCYkLNSAAFNAH1ULQ1MItPGV0yHPl3OzNkTElJYdOmTaW6xX333XdYrVbMZjNjxozh0KFD6HQ6hg4dytNPP+18fFVEhfzyfXx8eOGFF3j++efZvHkzr732GvXq1eO5554jLMx9jRQkkutRPG4+ow9940YETX4Dy+V4NP5+aF2ciYm8XEzbNqD4+qC7uxNKcDDquXNY/thH3nffOhVFkZ8NHg76UhSEOQ+Avn37cuedd5Y73GNlYkm+gOXcXqBIqAW6W7qgC65Z2zRldclw5MY2atQoRo8eXex4VlYWCxYsICoqioyMDLy9vZkyZQo6XXFpOXDgAFqtln79+tGlSxcAvvjiC9555x0CAgJ4+OGHy3pplUKFvg5rNBrq1KlDrVq1WLNmDWvWrKF3794VYn0qkUgck7P6BzI+nQEWCwiBoWMHak+ZjKaWd6nt1KxMNM2b4zF4EGg0KDodonlzdF27UhC11Gm/QqiUNO+zWsxAYcxSdxREUXAFy9m9IOwtLi1ndqH164+ir0HRdMo4U4yKiqJuXXvr4ZJmib6+vgwfPpyIiAjmzZtHdHQ0HTp0cDjzS09Pp2XLljZBBPjnP//JsmXLmD9/fs0TxS1btjBv3jwOHjyIEIKmTZsydOjQYg71Eomk4sjdsZuMKVPtfMxMv+8nedS/Cf269G0HJag2hkf62blkKAYDaLUYevV22rfGO6BE17Zsk8Cd59zWlFhKcsyzpl1EF+qeRiDlQnXRJeOqW1LdunVdNmpUFAVvb2/CwsL46KOPiIuLY8+ePQ5F0d/fH4vFYndMp9MRFhbGH3/84VJ/VcENiaLJZGL16tV8/fXXxMTEIISgQ4cODBs2jB49erjd/oFEUtPInDrD4bPdfOwklqRkdHVKdilRsKI4SMGmaLVom7mQpNjXDwocu1wFNmnmvH01IlSLY+MTIcBqKX78ZkbFxZnijXd1++23Ex8f77CsefPm7Nq1q9hxX19ft0oFWC5RzMzMJCoqiqioKNLS0lAUhZ49ezJs2LBi4d/OnTtH8+Zlz+otkUicY01KLrHMdOQouh73l1iuWq0OHe8BhKNgBtdRkJuFQVu8vaIoYC1w0MJ90AbWx3r5uIOgDQqawPrVMqbKQqgC4YIoulLHGYmJiXbLo9fy8MMPs3r16mKakJiYSLt27W6474qiXNGO77//fqZPn05ubi6DBw9m48aNTJ8+3WE81BUrVtzwICUSiWMUby9QQG+sj1evdnh0boXiVbgcqnMy2xPpqSWb4V/dEywNVZSyEuTmgdQ1PsFoazcFzTWByzVatPVaovGqYeEii/wUnX3K4JKRlZXF+++/z/79+23HDh8+TGZmJo8++igAc+bMoV+/fqSlpQHQtWtX7rjjDhYsWGBrExsby7Fjxxg1alTFXGsFUK6ZYl5eoWVZw4YNOXPmDG+88YatrCgLtxCCtLQ0zp07x/jx4ytmtBKJxA5d00Z4dWmAtkEwikGHMFnxfuh2sudsRleveKi1a9H4BULyKbgucLgQAvVyPDiI45+RkUFAQAAAXn5BiNy0EgZWupGPO6Brfiea2o2xJseAoqALaYrGr051D6viqYSINmazmb179xIVFUWXLl3o2LEjgYGBzJw5E+3VDCnp6emkpKRQcDUMoaIozJo1iylTpjB+/HhCQ0O5ePEiX331Fa1atSrXpVUG5RLFhx56iHfeeYdatWqVWEcIQUpKCv/5z3/KPTiJ5O+AMBdg/vNnrHHHQKho6xnRh/dA8Sw5qHYRuka+6BrWRjEU/pQVj8L/+jx7P+bYi3i0KtlJWjF4YN6/H33nzrb9/6LQa5aDR+AaWxshBFu2bGHBggWMHj2au+++G0W1lLj8iup8plndKIqC1r8uWv/SXx5ueiohdVRwcDCrV68utc748eOLTYj8/Pz43//+53I/1UG51jjCwsJKFUQo/MKFhIQwePBg27ETJ06UpzuJpMYihKDgl0VYLxwCSwFYzVgvHiN/6wKECwYfHu0a2wTxWjReBrQ+Bgct/kJNS0V/Xe7CInHU3f7XHk9mZiYffvghs2fPpqCgwBa/tNR9R5mw1n1wZenUVeH8G1CumWJZMmJfGxd179690plf4tYIqwU02iqznFaTLyCyU64TEQEFV7BeOo6u8W2lttcGBYKa56BAgyawdCd+q9UEOl2xa1UUBU2TxkBh7tQZM2aQnp6Ot7c3kZGR3HvvvbZ6JT9GpeW5uyBUgbg+Nm4J9STlFMWzZ8+WuU1mZiYXLlwoT3cSSaVjvXCcgjVzUJPiQGdAf2dPDH2eQdG5FvZLWExYzx5CZKeiCWmEpnFrFMX5QoyaHo+wWoqLsGrFmhTjVBR1zcIxn9mLovz1QBNCoNTyRfEqXRSF1VRq+YIFC1i7di0Abdq0YfTo0bbwjQCKVl9yPkUX75ukCqiE5dOaTLlEcdmyZSxfvrzM7e65557ydCeRVCrWxFjy5r/zV5YMcwHmvZtRczLwevJVp+3VzGTyV35amEbJbAK9AcU/BM+BY1EMjjPTF1FS6ichBJbL8ZTeGrR1mmM5vw/Uv5ZaFUVB1yjc+WzXywtySy7+/fff0Wq1PPHEEwwYMADNdRalGo9aqHkZDtuWlmRYUrVUpUtGTaBcoljedFDuGO5JIjFv/764C4LFhPXYXtSs9EIrzVIwbf4G8nP+Mmk3FyDSEzD/vh5D19KzxJjisygpopgpKZvSd+7BGn/SodWgJeYAunrG0oUxO6vUc48dOxag5BQ/pc6E5fKp2yBnimWiXKIoQ7dJahJqooMEwwBaPSItEUoRRVGQi5ocV9zHy2rBcmqvU1FUfOsh8i6j6O1FRJhVhN65e4A16TwOQ5FYLYjcDJRapQi6tw+YUkssdpbvzppfcgJxa0E2Op1756L82yBwLVqN1ESgnNanEklNQtPwFsfO5lYzmtr1KrVvn4juXPkzHbXgL0tOtcBK/oVsfB/q6/wE1zqf2yFKKStE51v6DNgpVrPNhcOuZyEKl5IlbkHR8qkrn5qA1WolJSUFqyvxXh1wcySNk0gqEcN9A7Ac3AGm/L8O6g3o2ndD8SndWEXx8EYT0gg1KcZ+tqjVoTPeWXLDq2g8PaDO7SQv3YDvnaGgU8jZl4z+lvboQ5yLlq5+K8yn04tle1A8fZxGZim4cK5k3cxzYNF6HSI7Axy4g9jK/Cv3hULiIhYBWhcEz3Jzi2J+fj5Lly4lODiYoKAgUlNTMZlM9O/fH4OhdPeka5EzRYnbIITAdOgIues2YD51usr61QTXxeuf/0Pb/NbCBMM+Aegf+AceAyJdam/o+Sx41ALdVbMYvQdKQCj6O/s4bWtJTiP1y+/IPZZGxtaLZP58iSuHUsiM3k7+yQvOx+5fF0frXpqgRqW2O3fuHB99/gUiNa3YbE+oKpa9vzvtW024WGKZNfGS0/aSqkEIF2eKZQjz5o4sXbqUwYMH069fP7p27Ur//v3p168fS5c6T4N2LXKmKHEL1MxMUse8ivVyYYR9IVQMt7YlaMr7KB6uv+WVF229pnhFvl2utpqAOng9OxnruYOIrFQ0IQ3RNG5rl5G+JLK3/IZHEx/qPHkLik4p1DcFkpacJuvHHXi2alpqe8vFIw5jVlovn0A0aY+idfwT/+GHH7iUkoyak4M2OKhYuXrlitOxi6x0FNHEQVQbAVmOrVIl1YCKa3uKN3G8hZ9//pk+ffoU86H38PCgT58+bN26lQceeMClc0lRlLgFGR9+giUmtjBR7lVMh/8k++sF+P3zxWocmWsoegO6VneVvaGwEvqMEY2n/TpmnaeM5Ca4EJQ7I5GSLCREXiaKz1/GLkVxiQGGDRvGT7UD0DZqWNx5X6NBf09X52NXKUyzpLnupcViAfPNkX5JWM2omYlA4ay7pJeImxpX9wtv4j3FzMxMm3fD4sWLiYmJYeLEiQCEhISQmZnp8rkqbfn05MmTpKSkVNbpJTUIYTZTsHO3nSACYDKRt3Zd9QyqjCSv28vv3cfxa6vnOfiPt8k6cMaldt7htR17LygKPnc4tz4t8TGmWkD/V5rfXbt28d///hezuVBofXx86PePx0vMZqH4Os8UoVhVLFt/RJhNCKsFYbUizCYsv2xEuQlE0ZISS8EfqzGf2Y35zB4K/liNNd2x3+hNjVqGz03KtS92hw8f5vffnS//l0SFvBZNnDiROnXq8NRTT1GnTh3eeOMNVq5cicFgYOrUqfTo0aMiupHUVKzWEiP0C7P7B5a+HPUTZ974GjWv0Pk/Y8efHBz4Fu1Xv41fh9LdGrReWqz64tYuik6D1t+F3PWl7QNZzeTl5TFv3jy2bdsGwPbt2+nZs+fVTpQS/RgVbemWq4V1dFh3b0U9eQRNmw6ggHr8ECIlEe3DzzofezUiCnKxnN1TLJ+i+dSvaG5/BEXvLGzCzYMQroWivZm3FA0GAzk5Ofj4+PDBBx/YleXk5KDXux5hqUJmijExMYwYMYI6deqwdetWVq5cyb/+9S9++eUXh5mWJZJrUTw90bcyFi/QaPDo0rnqB1QGhNXKuXcWYahloWlfX8KeC6TBA7XQaiycf2+x8/a16iIcmI4LkxVhqO20fcn7lgoXzp9n3LhxbNu2DYPBQGRkpN0LqqIzUJKTveLhPPWTNqw9CBWRmoR1x0asv2xEJCeAEGhbFc+t6k5YU2NKVAFrWlwVj6aScfOZYk5ODomJiTd0jp49e7Js2TKHZatXr6ZPH+dGb0VUyEyxb9++eHp6Yjab+eCDDwgPD+ef//wnAC1blpy6RiIpwn/Ca6SOHFM4MzSZwNMTjbc3fiNfqu6hlYo5NZtata3c8lgwihY0WgWf+npC7/DmxLILTttf2X2Kgn3J+HQIQeNRODtTC6zkn8vEmnKUOmGlZyS3JptQPKwoOvuZnTU7j4nT/4dVCJo1a8Yrr7xCw4YN7eooGm2hL6NafKlT0TsXRTXuHGh1hfuK16LRol48B03dJ0fe9QiL2fH0SYji13OTIyxQWj7oa+uV6bxCMH/+fJYsWUJKSgqtW7dm0qRJtG3bttR248aN44cffrD97e/vb1vJKC8Gg4EBAwYwZ84cbrvtNho1akRcXBxHjhxh4MCBxUIUlkaFiGJSUhI5OTl89tlnxMbGsnjxX2/I+/bts0sfJZE4Qt+iOSFLF5G7dh2W8+7wvF0AACAASURBVOfRt2mNd59eaJykKKtutH7eNO1TC63hr6eORq+gaKFhD+fxP/MOnCB95VnyTqTjc1coirbQT/HKwWRq3et8+TT/wBG8uja3OyaEAK1CkMlC58cG8uSTTzpcPhKWAoeCCKDmOTdMULPSHAuLakVklZB82E3QBtbHGn+i2PIpioImoGb5V1bW8uncuXPx9vZm+fLlpKen88YbbzBixAi2b99e4rL8xYsXyczMtAsV2qRJE7y9bzwpdXBwMC+++CKJiYlcvnyZZs2a0blz2VeaKkQUb731Vrp27YrVauXNN9+kQ4cOHD58mK+//poNGzbw0UcfVUQ3khqONjAA32eGVPcwyoRGFGDw13G9yYuiUfBv6nwfQ+PjjcZbR612tfE2BhS6N1gF+ecz0Xg7F0Wvu5s6Tv3kZWDsiGEYez9cSmulsD+HT0PnUwtts9agM9gHPQDw8Cwsc2MUn2A0wY1RU+P+ejHQaNHWaYHGu/SADTcbQnVRFMuwfJqfn0/Tpk2JiIgAICgoiMjISEaOHEl6ejpBQcXdfAC+/vprxowZw223lZ795UYIDQ29oTjbFSKKDz74IL///jsWi8Wm+A0aNGDcuHGMGzeuIrqQSNwTnUehUYqDGZfGx9dp81qdbsPT7yz6IE8UXeESj1erAOqPaYfFu4Pz/rUlLws1Cin9563oDCgGb0TBdT6JioLW37nlq/aWW9E2bYX1/Im/MozoDWgbtnD7PUVFUdC36IQa3BhryoXCaw5phsav5iUtqAxR9PT0tAliEVlZWYSHh5coiGlpaXz33XcsW7aM8PBwevfuzeDBg8sUbaYqqDCnHIPBYHdxKSkpBAcHU7u2c2MBiQTAdOw4Od8sxBIbhz6sFT7PPYO+aZPqHlapKHoDmma3oV44Yr8XpTOga3e/0/aexgAK4v8SRABFq0HjocWnfUgpLV3AhcSyGv+6WJOuy48qBBof530rioLXyMmYflmLZfdmQKDr1BNDt/4uBS6obhRFQRtYH21g/RLrCCHAnA9aHYr2Js0RKRQXNxUL6yQkJBQr8vPzw8+vZDedlJQUNm3axBdffFFinZycHF5++WVOnz7N1q1b2bdvH6tXr2bBggX4+7vP7LzSXDJWrVqFXq+XLhkSl8jf/Rvpk94qNLIRAuulyxT8upPgmdPRtyzdraG68eg+hOxvPkJTkIRqUdHoNYgQI1633ee0rchOdZiBSWPQomaV7OdrsVhYvnw5/etY0Oh1jvdwfEt/oRBCYE2NdVhmTb+Ipq5zIzlFp8ej+0AMDxRmA3Gaw9GNEKY8zBf2o6YXhqTTBDdG36SDzR3DmpmA+exeMBXGgdUE1kffotNVq92bh7LuKT711FPFykaNGsXo0aOLHc/KymLBggVERUWRkZGBt7c3U6ZMQacrLi2NGzfmxRcLA3FcuXKFDz/8kKVLl/L222/z6aeflu2iHJCdnc2cOXNo164dd999Nz4+5cvpWSGiGBMTw1tvvYWnp6edS8bgwYOZPn26FEVJqQghyJo6DQoK/jqoqoi8fLK++JLgaZ+4dA7Lod8w/fwjwlSAoUsP9F16oDj4cVY0l6N+4ez/TmHwsmAI0JKXaMGq7qBdswfwv7N0C8zcY/HoLKrdTBFAzbeSfzAGjzsc9Hf5MtOmTePs2bPc3bYRdbuH25ULIRAmK/paThzwLQXFDU2K+r+SXnrbonpZaeQvnYn1z98A0LbtiOcTo9AEuHfaKKFaMf25GVGQS9F+sJoSgyk7FUP7Poj8HMwnfrG7P2r6ZUwntuNx64PVNOry8f/snXd4FNX6xz8zszU9gRBKgNCLiAQpEjpysVCkCChgQyxgwcYPFfWqeC8gcK+IBQsIauyKoqAXsMAVBER6E6mhJIGQnu075/fHkpBky2xCAoG7H595HpiZM+cs7ux7znve9/sKl4QaxEpRuD33pKamUrdu3TLX/K0SIyMjmTBhAgMGDGDhwoUsW7aM5ORkxo0bF7Cv8PBwXnjhBSwWC8uXL2fWrFkVyiX0N5bx48fzxBNP8Oijj7Jz585KPadKfBz+UjJiYmJCKRkhNBFWG+7MUz6vOXfvCeoZttQFFL36Is4/1uHauRnL4nkUzpqK8POjX1UIt5vDMz9GtdqxZbvJP+TAWaSiWh0cCiJPseCnvaDIZcSYhRBIBpnc1X963W+1Wpk2bRoHDx4kPj6e2j2u9BloIxkUlPiYwJ3L3gFCJc8IQu5MuF1Y5j7uMYiqG1Q37t2/Y5nzaI0XXVCzjyOcdsp8fqEiHBbU3HTfxZuFiijKQbUELxlWExBCCvoAqFu3LomJiWUOf0ZRkiTCwsJo3bo1s2fPJjk5mQ0bNgQ9ttGjR+N2u8nJCW4SpkVsbCxz5sxBCUJ8wh9VYhSLUzJmzZpFWlpaieYceFIyQoQIhGQwgJ8VnRSjvdfgPnUS++pvwF4qCtJuw31wL65tG6tqmD5xnilAtfquHVi0x7drsjTGpAhQ1TKGTZIkhEslrJW3UTObzYwcOZKePXsyd+5c9EbfL78kSahFgUW5JUUHisG7SoYQZTRT/eHaudFTIqr0xENVEZYCXNvXaba/mKiWXN/pKKobYclDtebjc8Igyd6BSTWc4kCbYI7zpWPHjhVa8UVHR6PT6YiJ0ZjAVYDY2FjatWtX6fZVYhSLUzI++eSTMikZjz76KN99911VdBHiMkbSKYQNGQTGstJakslExBjtHFfXnm0+KjUAdhvOrcHPWiuDLibcr36oqZF2sEpkr7Y+28sGhcjuHtfr9u3b+e2330qu3XDDDUyePJmwsDC/5X6EEKiOwoB9C6EirEU+9wHVk0c0x66ePAoOu/cFhx13EO0vJrI56uxKufwFBckchRwVj8/NXtWNHFZ1P+AXAiEkhBrEEUwwjgaZmZmkpKQEff/27dvp2bNnlUegxsZWvoB2lRjF4pSMTZs2MWaMJ8+sOCVj9erVVdFFiMucqEn3Ye7XFwwGpPAwMBoJu3k4YcNu0mwrhUf4rjKv6JAiqzeqTTbo/Rq/qI5BbB2YYjwlo8ohhMAth7F48WKmT5/OG2+8USKwX8aI+dGMBRCFvlewJU39JN9LkoRw+zB25Z9vDWB0LYEN8sVGjmsIXtGkEpLeiBxbH13dlt7XZQUlvklQEng1CSGCP4IlPz+fGTNmsGXLlpJzO3bsIC8vj+HDhwPw9ttvM3jwYLKzPUIOzzzzDDNnziQ31+PBOH78OF988QXPPPNMUH2mp6cHPb6KKNiUp9pSMmrVqkV2djZLlizh0UcfrapuQlymSHo9MdOmEvXQRNyZp1Aa1EcOUuVCf9U1SLLs7exSFAy9r6/ysZbGbbFjOeR5WcPq6TBGK1gyXdhz3OSs2aHZvujXTZj9LCjTVq7mu4MnkGWZoUOH+sz/cp0pRBcf6XO1JxE4+V/Y7L5X2IAazB5PWIA8zHDtHM2LiaToMF75N5yHNqPmpoMEcmwD9E06IUky6E0Y21+HM22H57qiR1evFUoQEbk1DaFKiCDEGIQa/ErR6XSyadMmUlNTSUlJoVOnTsTGxvLGG2+U7Ofl5OSQlZWF/WwAXXh4OEuXLmXFihVcf/31xMXF8cYbb/jNayzPt99+WxK9qkVREPVA/VElRtFqtfL++++TlpaGWmrmeurUKXbt2hUyiiGCRo6KQg6QD+ULyWDAOOJObB+UzZHSde2NktCgKofnhdtiQ2eWaXlHNObaCkL16J/m7LNxdI32akkWvuXQJEkivkEY9Sz1mDx5Ms2b+05LkcOi8Ln3JQS6RoE/uxwbj+s/n6DrmOzZ1y1u6nDg2rQZ+o0O2F6X1AqnwejtQjWY0CW1Dti2JiAZwzG06V3igvYKWDKGY2hRswXpg6E6jGKtWrVYunRpwHumTp3K1KlTS/7+1FNPlYk3qSgLFixgz549mM2BJ3vFBruyVIlRfOGFF1i9ejURERE4nU6MRiNCCHJzc0O6pyGqHWEpwvbZu17nXRvX4L5xJEqjZtXWt75WFM2GxRJWB+RSbtCYVkaI0xauEHaBL0k1IQTCKXj55ZcD/gjIJsnnYk+oAuG0gcm/dqzIPYNz5Upwu9F17uRZNdrtOFZ8j3pEO0hIadUBuV5j1BOHwXU22lSnR65TH+WKTprtawJCCIQ13/PZTb5X3Jc6Qg0yJaMK9hSrE4vFwg8//BDUvefz/7FKjKKiKGzc6Iny++yzz7j11lsBWL16dY2T8Alx+eHctsG3G9DlxPHfVZjHVp9RxOkgqrGMVG61phhkajXTLjsgJBl/aRF6k0FzVqwWFiFHm71XOYqM63QuSqT/KFI5MhpUgXPFCpz/+Y8n0Mlq9ZR+aq690pNkmbCHZ2Jf+SmujT8CoOvcF+P1t3gqcNRw1IIsHPvXefI1AfRmDK16IIdXPkijJiIEwa0Ua3g9xY4dO3LvvfdqiocXFBTw7rvek+RgqRKj2KJFixI/ssvlKin22KdPH26++WZ69dJW9ggRorIIp9P3G62qCF/RkT5QT5/A/v0HuA/vQTKHo+85BP0112vPON1O/Bk1HBbNfg0JesA7IEaSJAxxJu2BC+F7jG4V7IHdt5I5DENKXxy//exRErKcHa/RhGl44OTrkmcYTRgHjkPfrisIFblxq6AKFF9shNOOY8/PZdMy7IU4dv+I8eqhQeVpXioINUiVtxpuFG+77Tb69OkT1L3+orKDoUr+z+/fv5958+bRr18/BgwYwOTJkxk3bhxbt27lyJEjVdFFiBB+0bfvjNXpI9JSltF17qHZXs05heX1qZ5qD0IgbEU4vv8AcSYd46DxAdsKSfLYRB8/OqorsHDA4cOHsRYUkBTnXeVdCIESri1TpeYUocT6cJEKQNL20oTd+xgIFcdvv3hqI0oS5lsnYAji3w3AdXA31nemg9Pp+TdQdJjvnoauZXvNthcTj7yd771YNfsYSnyTCz6m6kIVEmoQK8VgXKwXk4oUCu7fv3+l+6kSozhu3DjuvfdeDAYDEydOpGfPnkycOBEgtEoMUf24XQjV20EkVBVc2i5Mx9pvwOkoO1V22nFuXImh70ikAJGUrtwiUD31C72GZfOdLiGEYNmyZXz88ceMvjKBpDjvihSSJEGkthvPvjsTXWIckuHcqyycLpwHMtC30I4AlQxGwh+ahnn8w4j8POTaCUhBJl8LSyHWN54tK5oAWBc8T/iL7yFH1ByR5/IIh9W3xJ3qRpQvhXWJI0SQgTY12Cg+9NBDREdHM2TIELp06VKtfVWJUWzbti2//vpryd/vvPNOOnXqREZGBj179qyKLkKE8Ivtj40eo1guNUkCClf/h7gOXQO2V9P+9P0DqehRs06ghPvfX5MjIlHdAlkuu7kvhMDpIyr8zJkzzJ8/n127dgFwZd0EfK1YhBCInDMBxw2AQ0fhVxsJv6mTpzKFLOPYd4LCz9YTedf/abcv/hzhkRVOo3Bu/dW351iouP5Yi6H34Ao970IiR8XjTtd5q9rIMnLU5VXZp7SEW8D7kIIpo3lRmD9/PkeOHOGbb75h/vz5dOjQgZtuuslvVPb5UCmjuG3bNjp0CFwvrV27drRr144dO3bQvn3NdqWEuLQ5vWM/Ub4iMAXkHziEVhaUFN8A0o94b6q4nUgxgVVpFJ1A1stecT6SJGEqF+Ny4MABXnrpJQoLC4mOjmbSpEnUPfgL4L0ykSQJ4bRqjBxcGZm4j6Th2HoIOS4CYXEgLHYwGXEdOYahZfUFGQlLwbmo09I4nZ5rNRg5ui5SeCyiKPvchEhWkKPqIEVcZkbRHZz7VCBVYeZ61ZOUlMTkyZMB2LJlCx9++CFHjx6lV69eDBo0iPj48yy1dpZK/RN8+OGHtGrVSjMyrqioiPfee49///vflRpceRwOB7t37yYzM5PrrrvusgyfDlFx3H627iTJ/7XS6K/uh3v7r17npZh45OjAGqCqrbjKgo/k+XKnGjRoQEREBC1btmTSpEnExMRQdGwduP2464IIWFFiY3EfSQNVoGaVMkSqQI6u3gR6XYv2OHQ6cJT7RzYYUVrU7ImwJEkY2vbFlXEA9fShs0WGm6LUbX7Z/a4EvadYU5eJPujYsSMdO3bE6XSyZs0a/vnPf2Kz2bjuuusYMGCAZoRqICplFL/77juWL18e9P3naxRPnTrFa6+9RlpaGuPHj6dfv36X3Rc3ROWp3eUqHNtWoCtnQ1QVwq7QFgZ27Vzv87zISkfYipAC5Pq5Cv1Xg1BdgoMHD5KYmIjRaMRsNvPiiy8SGxtb8v3VNWmL+4C3aLkQAjkhSXPs5r49cWzd7nVejoxEl+C9V1mVyI1boruiM67dmz1BSgB6I0qrDijNrqjWvqsCSVbQ128F9QOX97rUCXpP8RIyisXo9Xr69+9P//79KSgo4IcffmDy5MnExMQwePBgevToUWHJt0ovlvV6PbVrB3YzFBYWUlBwfm6UnTt3MnHiREaMGMHf//738yoJEqJ6Ue1O8pevpWD1BnS1ookdcyOmNk2rvd+Inn3IWzjTU92h1HstyVB72FDN9q7d/tQvBO6jf6Jr1dFvW118LZwqSOW+lkII7EWCp556ir/97W/cc889AF6SVkpiG9SD3v1LkoSuUVvNsTt27vZ5Xs3PR80vQI6qvtWiJEnor7sF96E9Z8swnU3zuOHW0KS1BuHJUwzivmofSfUSGRnJyJEjGTlyJOnp6Sxbtox3332XVq1aMWTIEK688sqgnlMpo7ho0SLef/99nE4nt99+O7179/Z774wZMyrTBeARgL333nvp3r17SCquhqPaHRwZNQX7oeMIiw0UmdyvfqLe9EnEDK98eHQwuPdtR5IlTxRoKSTAtX0T+sYam/G+SgidpfjH3h+yavf0XQ5JktBHgKqqGAyGswbbh6HIPXl2pD6CbfJ815gsjXP/AZ/nJYMeV3oGhmo0isJuw/rqk2XEv0V+Dtb5TxPx4hIk86UlnH25ohKcoo16GU1k6tWrx3333cd9993Hnj17SgzkvHnzNNtWyiimpKSQkpLC0aNHef/995k/fz4jR45k6NChGMuV/xk6VHum7o85c+aQl5fH448/XulnhLgw5H6+CvuBYx6RaQC3inDbSX/uTaJu6IFsDiIRvZK4DuzxWy3CtWsLDBkTsL3SoDnugz7EuyUJJTGwALRQVb8Re7ICzz33XOBAM73ZU0uyfMCKrARVjUHfvCmutONeQULC6UJXr66fVlWDa9s63ykvbjfOLWsxdK9eMfYQweGpgBGM+/TypG3btrRtq+11Kea8Skc1btyYZ599lsWLF1NUVMStt97KK6+8wunTp0vuadOmTaWeXewfrlevHgsXLmTs2LF06tSJ+++/n2PHjnndn5+fz/Hjx8scGRkZlf5sISpG/or/njOIpZAUGetW7wryVUqgXES3dp6i4YbbPInrpZEklObtkWMCbxFIit7/r4kqaUZeK/Vb4vM1lGR0jbT3QyPvGodkLJukL5mMhA+6vkKuUzXnDK6DfyKs2io8JW3yznjyO8vjsCHygkgnCXFhCLZs1CVsFdetW8eaNWvOS8mmmCoJwI2IiGD8+PHceeedrFq1iilTplCvXj3uuOMOWreunFr+jh07cLlcNG3alMcffxyz2czx48e5/fbbmThxIl9//TW6UtXalyxZwmuvvRbgiSGqEznKTzCKqiJHBI5SPl90TVthl2SftQGVVtr7CEqDpphum4p96QJEYZ7n3JUpmIbdp9nWUeT0mbwvhMBVqF3KXNIZMPa4Fftvn5dI0kmKgqHrMCSztlEztGhG7Xkvkzt3Ps6/DiJFhBM5ejiR42/TbAsgrBaKXn0J5/bNoNOD24Vp+G2YR2jLvClJrUFvOBdkU4zR5LkWokbgVmXcQnv94/ZVVPkSoXv37vz888/cf//9NG/enOHDh9OsWeXSkao0K0WWZerUqUN4eDhff/01X3/9Nddff32lok9zztZzGz16dEnqR2JiIhMmTOCFF17gv//9L3379i25/4477mDYsGFlnpGRkcHYsWPP4xOFCJa4sQMp+nUrwlpqtShJKLFRmK6s3hp0uqu6QEQkFOSVvaA3YOo3KLhntOqIMvUtRFE+ksGEZPCWXiuPy+XizP79RAlvD6okSSiG4PZobEfyOPb8BvS19UiKjP1EEQ3+1ZPIhOCClIwdriThg7f971sGoOjN2R6D6HSUrPpsSz9EqdcAQ0rfgG2VFleiNG6J+8i+cytGvQG5fhOU1skVGkeI6kMVQe4p1vDo07179wb0PPbt25eePXsyefJkhgwZwu7dvoPQtKiyqcHq1au59dZbGTNmDD/++CONGzfm+eefZ9asWZV6XtTZmnrlw2nbtfO4lA4fPux1f2JiYpmjbt3q3VMJcY6Inh2pdc8IJKMeOSIMOdyMLj6WRoteqNAPtevYcWwbNuHO1A4yKUbS6Yl85t/IdeqD0QQmM1JEFOGPTUeunRDUM0RRPvYfPsT6znNYP5iJa//WgPefPHmSZ555hkVvLfG7p+h2arty1CIraXc9hzs7H9v+M1j3nkbNt3D8wRk407OCGjuAM+04luX/wfbbJoSG5moxoqgQ5++/ertA7TZsSz/SbC9JEuZJ0zEMvA0poSFSQiKGG8YS9vAMj7pOiBqBqMBRoecKwcKFC+nfvz8dOnTg1ltvrZAhOnPmDN26deP48eNB3R9M5QudTsdLL71UxotYUc5rpehwOFi6dCnvvfceR48eRQhBcnIyd999N9dee+15hWU3aeIR5D1zpuzeRESERyQ5MrJmV/b+X6TO5LHEjb0Ry++7UaIjCevaLuiKCarFSs60Z3Hs2Imk0yOcTkx9exPz1FSk8gmIPlASk4j81weoJ44gnE6URs2C7lsU5VM090GwenTZxKnj2A7uQn/dGIy9y3ofhBD89NNPvPfee9hsNhrFxCHJvrVCdWbt73/+qt8QqkpY+1pEdklAUiQK/zhN0a4c8r75mdr3jww8dlUl559zsKz8yWOIJBkpPIw6b/4bXcPARYbVogJQZPCx7arm+S5+XB5Jr8fYfwTG/iOCuj/EhUcEuVKsaJ7iO++8Q1hYGJ999hk5OTlMmzaNiRMnsmbNmqB++5999lmys4P7noG3LfBHbGwsycmV91RUyijm5eWRmppKamoq2dnZSJJE//79ufvuu73k3w4dOkTTphXPVWvYsCHJycls2LCBkSPP/TBkZmYCBJ1zEuLCoqsdS9QNwVVYKE3+v+fh2L4THA6E/awb75e1FDZuTOTtwbvAT+eA2yFRt4EIRhDG08/yxSUGsQSh4vwhFcM11yMZPe77goICFixYUFI7tEePHtwzahh8Ndvnc2Wd9mpJzSuk1pBGhLeLQzZ6BmxsGEl4h3ycOXkarcHy/Sqsq34Bu6Nkpi+sVrL+71nqfrwoYFu5Vh0kgwlhLxcgJcno2oXcn5cLFdI+DRKbzUZSUhIDBgwAPPm399xzD5MmTSInJ8crH7c8n3/+OY0bNw66P4ANGzZw++23061bN7p27cpVV13lN2+9Vq3ASlSBqJRR7NOnDzabDZPJxC233ML48eNp2LChz3s///xzpk6dWqnBPfjggzz00EMcO3as5PnffPMNgwcPrnQAT4iah3C5sK7+yVN+qDR2O5avlgZlFE/tTeOr8XOx5hYiyRKSLDPwlYk0v1b7x929fZ3vcSFw7vsDw1U92LVrF/PmzSMnJwez2cw999xDr169cGdnYPfzWxKMo8Sc3BjVGIdsOPdyy0YFU1IUxoRGmu0Lv/wGYSsX6CIE7hPpuI6fQJfof7UoKQrm8Q9jWfAyFBtGRUEymjGPDlwyK8Slg3r2COa+YDGZTCUGsZj8/Hzat2+vaRDT0tI4cOAA/fr1Y9GiwBO30kRERHDmzBnmzZvn0RY2mbj66qvp2rUr11xzDe3atStZoZ6PyEuljKLV6hEqTkxM5MCBA0ybNq3kWvFmvxCC7OxsDh06VGmj2KNHD2bPns3zzz9P27ZtKSgoIC4ujkceeaRSzwtRMxFOp9/UCTUIRSSX3cmnt/4Ta07ZorrLJs3n7tWziG4YWChYqC7fc2QBjmMHMVzVg8zMTHJycmjdujUPPfQQCQmevUo5ura/cooIRTtYRx/uwOHjBZYMMvra2ivN4jQYpU40uqQ6qAVWnH+eAFn2mSJTHmOPa1FqxWP9+iPUU+no2lyFadgYlPiK7ccXp3KEEvZrHoKKybz5SmWLiooqifPwRVZWFitXrtTMAHC73cyfP5/nn3++pFJMsHTv3p158+aRlZXFb7/9xoYNG9i4cSO//vorkiQRERFB586d6dKlCydOnKjQs0tTKaN44403Mn36dMLD/WtCCiHIysriueeeq/TggBJduxDnsOdbyPrrBBEJsUQnXvqK/pLJdHZZ5b3VH0wU6OFftuN2ehtVoars/GwtPR7X2O/yZ9UAR7on57Zfv36YTCauueaacrNQidwDTmKa6bxKR2Xu1qO5caA3Ixn04C67SpYUHZLR//tVTNjf+uDu2hDjFYmeHC0hwOGm4KP16JoE557StWlPZJvKCXirWelY3/8X6tF9AMgNW2C+/XHkOoH3M0NcONxIuIJwn7rPfn99RewXe+3Kk5+fz+LFi0lNTSU3N5ewsDBmzZrlN9Bl4cKFjB49OqDt8EexVGLt2rUZPHgwgwd7SpOdPHmyxEhu2rSJn3766bziWSplFIcOHar5oSRJIj4+nltuuaVSAwvhjRCCdf/+kk0LlqMYdLgdLhp0bsXQBQ9jjLx0Z+jCavUb+ua13+UDa04hqtv7AW6Hi6Ks3PMaW5FTEIfn+9y9e3ev684zBRgivF9AoYJsy9F8vlK/JY4/VvgokCyCSt43X9sR518OJL1S8gxhUImeeGPQgUaVRTgdWP71BKIgryRHVD36J0X/eoKIF99DMlSfilGI4PFElgavaJOamuoVfNR2rAAAIABJREFUue9vlRgZGcmECRMYMGAACxcuZNmyZSQnJzNunHee6+7du7FYLHTq1KmiHwE4l3lQnvr16zNixAhGjPBMfg8ePMgDDzxQqT6gkikZvXr1CvreQLqoISrG3mW/sent73HZndgLrLjsTo5v2sfyx9662EM7LySj0bNa9IGSoJ1Skdi1tU+ZN32YkSa9tVdA7gCbKX9l+1BsKT0+k4Q5XvGamcqKRFxr7Qr2qsVB+oKduAocqDYXqs2F2+Li1JK9OM9oq8u4sw4j6csaP08UqgvVmq/Z/nxwbf8NYbeVFU0QApx2XFu8S3GFuDioFTgA6tat65Xe5s8oSpJEWFgYrVu3Zvbs2SXBkeWx2+0sXLiQSZMmVfnnK0+zZs0qraQGNbqkZIjybHprOS5r2ZWT2+Hi8C/bseUVYYquuEuiJiApCuG3jqLww4/PBXwAGI1EjL9Ds31ck7q0G9mT3V+tw2nxtNeZDcS3aUTz/v4rXBRjdZqJVLwL+goBKTffFLCtbDKczcnzXqnK4dqr94KVv+E4aeHY9N8xJkaAImFPKwRFIe+bn4l/QMPTovrLSZQCXKsa1DMZ4PCxkrfbULMzq7XvEMFT0T3F86Fjx46kp6d7nd++fTsrV67k559/LjnnPlvsdNCgQUiSxNatgXODK8LDDz9c6bYho3gJYc32HXQiKfIlbRQBjN2uofD9D8uck2QZ45XaLkSAv710F41T2rHtox9xWR20GZpC+9F9kIPIcczKjiCinrVMtKgQnsWnxR5GICegZDAjN2iGeuJA2fbIGJK1PSqqxeZZqgqwHysVKKS6UAu1V4pKQhNcR/O9DaCiQwqL0Wx/PigNm4HBAHYfMm+JlZPYClH1VEf0qT8yMzNJSUnxOt++fXuvGrzbt29nypQpvP322yWBa1VFcZ57ZQjJTlxCJPVoh6R4/y/Tm41ENbi0A25yZ82BcsEywmol7/UFQbWXJIlWA7swOvUpxn71dzre/jd0Rm33JYBJV+R1TpI8h7Bq5woa+o1B0pcT5Y6IRtdxgJ8W5wjv6XslK5lNRPTrotleV78tkjka5LPzW0kGWYehTe9qr2motO6IHN/Ao5laMiA9clwCSrvO1dp3iOARBOc6rYiiTX5+PjNmzGDLli0l53bs2EFeXh7Dhw8H4O2332bw4MFkZ2djMplo3LhxmaPYENavX7/COYvVSbWuFI8ePUpeXp5mpYAQwdH90eH8teoPHEU2VKcbJNAZDfztpTuRfRjLi4G7wIJ1+58o0RGY2jUP6odZ2Gy4//JdF9D+q+8cwvI4rXb+O+dzdn3xK26ni+bXJtPnmTFEJsT67vOsmr4kSUSEuXzmFKpu0Lm8DWZ5XFtWe+9pWgtxH9yK3LprwLbGJg2Iu30w2R9+h7A5QAikMBOR/boQ1km7er2k6DAmD8J95ihqTjqSMRxd3eZBRa6eL5IsE/boy9hXpOLa9DMg0HXqg/HGcUhyqBh4TcGNVBJZqnVfsDidTjZt2kRqaiopKSl06tSJ2NhY3njjjZLo7JycHLKysrAHESxXk6iUUZw+fToWi7Zr5/Dhw3To0CFkFKuIqAa1uWvlTH5/ezlpv+0lplEdutw3kPrJGkV0LxBn3vuGU7MXIxl0CLeKvk4tGi1+EUPDwDlvAWeobu19MSEEn902i4wdh3HbPakN+5Zv5NjGfUz4eTaG8LIO0OzsbF577TV69epFnz59yM6SCTd76h+WRpbBYtMTHahvlxP3n5u8CxW7nbi2rESvYRQBEp4cT0SfTuR+sRrhchE9pA8RfTsHvdKTZBldfBOIr7zLqLJIRjOmYRNg2IQL3neI4FCRghL7roggeK1atVi6dGnAe6ZOnRowR71r1678+Wc1l5WrBJUyihkZGWzevLkkLcNut5OXl0edOnXK3JeTkxMw4TNExYlMiKXfs9plfS40RZt2cWruEoT9nEybI+0kaXc+R7PVbwX+gVfVs75KH+YxCGHp9K0HObXraIlBBBBuFXuBhT3frKfDmH4l5zdu3Mibb75JYWEhmZmZ9OjRg7926KhfH5DOdedywpH9CvE3aqQVlC+bVAph0RYeKCb8mvaEXxOaPIaoeoIV+76EyylWKZUyiikpKcyePZuwME903bx58xg1ahT16tUrc9+OHTvYvHnz+Y8yRI0ne8mysmWjAFSBM/00tj2HMF/hP/BCMpvBYPQO2ACk+MBqNACn/zyGQKDIKu3qFaFTBHvSw7BaIH3bQTqM6YfVamXx4sX8+OOPACQnJzNp0iR0Oh1FeW4yj8s0SFJL7LIQkPaXgulwJgSqoGQOB2MYWLzTH+R6oWCTEBef4j3FYO67lJg7dy4pKSl069bN65oQgmXLlmEwGLjhhhsq9NxKGcXRo0eXUSwwmUxeBhE8EUdTpkxh/PiQjuLljv3AMZ/nhd2BO1sjWEVVcdltPr+M1iztBPiYxgm0ii8gpeE5Ff2ODQvZdzocfSuPFOG8efNIT09Hr9dz2223ccMNN5SsXus3clO3oUrpGqs6HXS91klWeUNfDkmSMfQciePH9z3LS/AEu+j0GLoN0Rx7iBDVjSoF6T6t5sCsqiYvL4+WLVv6vDZnzhzWrVtHw4YNkWWZ6667LujnVio6o7yEz5EjR3zet3HjRnJzz09RJMSlgRpIZ1PjXXPkFyL5mabKvvLgypHYti4pDc+URIwWH63ji2jdysyCBQtIT0+ncePGzJo1ixtvvLGMO7dJW7VMACV47JrRJKjdRDtgRdc8Gd3fJuDUJeBSTbjCkzAMfwI5znuiGCLEhaa66ilebOrUqcMHH3zATTfdxOuvv17m2jfffMOLL77Iq6++yrp1wQXrFVMl0adJSUk88MADjB07lvr165OXl8dvv/3GokWL6Nw5FJr9v0Ago+g6HXhiJJvNFKoK0Yp3UM1p1YhWsLb9u098V6SQQF31BQ8++AS//PILY8aMwWAweN2mNyr4KiooBEQ3r+N1vjyWgyfZcfNcYppKGKMEltPZWBe/TIdl/0B3Ccvvhbg8uJB5iheSoqIiTp06Ra9evdiwYQONGjVi8ODBuFwuzpw5Q/Pmnuj3ihabrxKjeN999zFz5kwmTJhQEuouhCApKYlnn322KroIUcNRIsNQ/eiMKnGBC0LrTQb2N7qKDse2opc93x9VeELEc3tq5/qJokKf5yVAWApJSkrizjvv9Ns+7U+Vth3xqr8oBKStO0HLloEFBA499Qptx5mQZFAMMm67itNi4+jcj2n2/N2a4w8RojpxSxJ+6sB43XcpYTAYmDt3LgCqqjJv3jzAk0MJlMS8VLSMVJXlKT755JOMGTOGX3/9FYvFQlJSEr1790avDy6BOsSlTdQNPcl641PvV0+nYL6ihWb7fm/8nS9ufpyrrUeIlN1ku3XsrHclt76oLeyrtO2Ac+0PXucFoMRpixoU5XsHuQoBTgcUnQy8p+nMK6Ju63wU4zn9U8UoIykC3b7fgZBRDHFxuVyjT+VSL60syyW2Ri2XMyx8RbUHoMqMYn5+PoWFhYwZMwaHw8Hy5ctxu90ho3gJIVSV46k/cWzRStwWOwlDrqHJg0PQByEfl9mmGTYBZkA5axkdAnYqetrUCpTp58HktHBdxBlcblBUQR294HrzaXQOO5i8XZ6lcW74GSG8i/pKgPvoIc2+m7QV3m0lMJqhca+kwI0dFky1fQiC6yRimoYS2ENcfFQpSPfppbVQpKCggClTplCvXj22bNlC7969sdlsLF26FFmWOXnyJPXq1SMzs2I6vFUig7JlyxauvfZaXnzxRcCzrO3SpQuPPPIIZ86c0Wgdoqaw+5G3+PPZDyjck4b1SCZH31rOxuum4bZoB7u8P/8zFrpljgtwCrAKWK9KLCty8ufmfZrtTz0zHTU7B93Zgr+K24Ur7RhZrwQuWupyuUjf85ff644CbZEJc6Rv4yVUUAsD5xrqoiO8rfFZZKN2LciagnDYUXPOIIIQSwhxaVHRKhmXCk888QRGo5G1a9fSt29fmjZtypw5c7Db7Sxfvpynn36ayZMn+yz5FogqWSnOnDmT5ORkzGZzybkGDRpw/fXXM2fOHGbMmFEV3YSoRiyHM0j/eh3Cfi7gRNhdWDOySf9qHYnj+gVoDTlpmYxTVGIBvQSKgBRZUKCq/PnHXlp39l/KRdgdsG8PcjnbIktgX/0jPPeU37bLli0jf5+Lm3yIuQgBx3MNaIXKWI0NiXAf8FK0kWSI0Kj9JhnMyPFJiNOHkUp9ANUFhqtrftk04XJhWfwajp9WACCZzJhvn4ixz/UXeWQhqorL1X1qMpl46aWXypy79tprS/782GOPceTIkQoXqa+SlWJ4eLhPpfNGjRqxdu3aqugiRDWT98cBhNN7riisDk7/vE2zfUqEgVjAcNYuyJLnz9fJghZtkgK2tVttft9IRWPlcsMNN6DoTH5f6ByLtgvTqoaXyVEEj0G12zzaolqYBk1AjqqFkHQIISMkHbpGLTB0u1Gz7cXGsuhVHD9/79lAdToQBXlY3vk3zq0bg36G6+BubJ+8ju2T+bgO7KzwHk6I6kVIZ12oGoe4xNynxaSlpZGamsqSJUvKyMa1b9+eIUMqnitcJSvFpk2b+jy/bt26oDRSQ1x8VJfLZ6FeAMdp7WK1XeMikbO8XeVCgka6wG+bVAHB4MLCQr744gtuueUWTCYTZrOZ1m0Tceed8l7pSRAdqf2mR1oPIJXzdEoSGE1QsG0Hxn6B3S9yRAym255HPbYPteAMcnxD5DqNq71KxfkirBYcv/zgMYilcdixfvE++mRt3Vbb0oU4//ud5xkCnJt+Qt9tAKaRE6tp1CEqigtfCUe+77vUmDt3Lu+++24Zgf9bb72V5557rtLPrBKjGBERwd69e0t+BIqKikhNTeWtt96iZ8+eVdFFiGqm6JB3YdBiHJnZmu2jm9Qnf/8Rr+hTo8mAEhURsK0uMtx/gn+p87t27eLVV18lOzsbt9vN3Xd7Ijt1zdvAH1spv9x0uCWsUYmaYzdF+HaYCBXM0cEFikmyjNK4LZdSaI2an+dXW1Y9naHZ3p2ehnPtt2WNqsOOc/1K9N0GhGoq1hCEFKT7tGbP4bz45JNPyMnJ4csvvyQhIQGr1UpaWhqff/45qampjB07tlLPrRKjOGnSJCZPnszGjRtZsWJFyY9Wy5YtQ3mKlwhygFI/skHbMIR3u4qC/6z3vuBWMQbQPQWP3QtkE51OJ5988gnLli1DCEGrVq0YNGhQyT3xfXpy4scvaBBjR3/2Y7hUsDhkjH8LvBcKYExOwb3tP155irJOJuzKqzTbX6rIteK9kzMBJAld89aa7d27N3kXNwZPhZBdm0JGsYZwuWqf/vXXX157iomJiaSkpJyX3akSo2g0GlmwYAHbtm1j2zbP/lPTpk3p0aNHmVySEDWXeqN6cuiVr3y+GfVHaQeMFG3a6fuCEDj2H8XU2n9Zo0BbUAKYNm0ahw4dQpZlRo4cyYgRI8ok5LrsDlbtr8WVCQW0qWdBkQQHs8xsPRZJ137a09/oYWMo+GsD7qI8FMUzHoGMceAdSIZLJ4K0okg6HebRd2P96O1SYuwSGIyYRweRX6k3euptld/3lRUk/eX773apUV2KNkIIFi1axMcff0xWVhZt2rThmWee4Yor/NcBPXjwIDNnzmTLli2YzWaGDx/Oo48+Wqmthtq1/ecgR0drp4H5o0qM4urVq+nfvz8dOnSgQ4cOJee3bdtGUVFRhUNiQ1x4wpvWI2FwNzK/2+CRkzmLsV4cje7WFtMt2uI77UK43DhPnApoFCVFQeB7tSiAQ4cOkZCQwMMPP0yrVq287sk9molww46Tkew4WVY9J2v/Cc2xS+YIIv9vPo71K3Du3oQSFYex9xCUJtpFfi91TDcOR46Nw/bl+6jZWSjNW2Mecy9KY99xAqXRJXfH/vVC7wuShK5jr2oYbYjKUF3Rp++88w5hYWF89tln5OTkMG3aNCZOnMiaNWt8GrmsrCxef/11HnnkERo0aMCqVat49tlnSUxMZNSoURXsHdLT/W/5FBQEX7atPFViFH///XefYa9t27ZlxIgRfPvtt1XRTYhqpt6I7mSuKOUSkyXq3NAJJUx71u84k+v3y5R/OJ1AQm/C7cKfVVRV6NOnD3fffXeZlJ/SuM7WUVRkQWKMHVkSnMwzYnfJuOwOn23KYy9ysWedk5M/yZjqCNo0ctHgAtXsFS4nzj9/xX10JwgVpUEb9G17IRl8f96qxtCtD4ZufSrcTo6Kw3T7E9jen3tub1J1YxwzGTlWW0koxIWhOpL3bTYbSUlJDBjgkWGMi4vjnnvuYdKkSeTk5BAXF+fVZsuWLfzzn//EZPLUKB05ciQfffQR+/Zp5zH7omPHjjz99NOMGTOGhIQE7HY7GRkZfP755+dV2L7SRtFutzN9+nTS0tJIS0tj7969Za4LITh27Bj2CkQWhrh4uIpsbL//VXCVcoWpghMf/ULCkG7EdfOfZwjgdqt+v0zZx9NpEKBtXo6FLJdMvL68PBMctut58MEHA/atMxmoF+3gujbnol9lWbD+YDS6CG3DYjuTz/L+T2PPKUQ43eTtP0HWHwdoP2UEbe8fqNkewHEql/SPf8Jy8CTRnVuRMLwnSrhGgWI874l93ceInPSSyYj78DbUU4cx9r8HKcBeb01An9wDXetkXHs2gwBd26uRwgIHVoW4sFSH+9RkMpUYxGLy8/Np3769T4MIeN1f3KZ378rl8w4dOpSjR49yyy234C7lwh81alSlg2zgPIyi0WjkySef5OGHH0YI4ZWbJEkSV111FWPGjKn04EJcOM78sgNRqnJ9MarNwfEPftQ0ikWx0RiycnyKu0T19y4CWhpjlJn/5EQzqnYuiiRQJHAJcAmJn/Ki0HLEJbSsR/02ZzDoyn4HuzXNI72xtkTdvrd/wHamANznfhbcVgfbZ31Bi9uuRa9h3Ap2HGLbsOdRnS6E3cnpbzdw9N9fcfXKmRhqB97bUM8cQ+Rmlg1YEW6EtQD3yT/RJbbVHP/FRjKHo78EhAr+V1GBYHSKir/9GRnekcdRUVFERUX5bZuVlcXKlSt57bXAClSlWbx4MePGjau0UQSYPHkyN910E2vXrkVVVTp37swVV1zBRx99VGnbc17u04iICN58801WrVpVJhowxKVH0eGMMnuJZa79pb0vV6tBPOoZ3+LZCfExAduezs7iuNvAe6fi6BxhIV7v4qRDz+8FYZgbBVpjenBu3eAzFUKRwHR4CzAuYPtjKzaVMYjFCJeb3D1pxHf2Xci0mH0Pv4670Fryd9Vix+F0cXjWp7SafW/AtiI3w5P7UR63EzX7JFwCRjFEzaai7lNfq6wHH3yQhx56yOt8fn4+ixcvJjU1ldzcXMLCwpg1a5ZXzd3SrF+/nnfffZd169ZRq1Yt2rZtS9eugXNi8/Ly2L9/v9/rbdp4Ju0Wi4VNmzbx8ccfXxyjCJ4V46BBg8jOzi6zbN6/f7/fqsghah766HC/wS6SSTslQ8447XOjXgJsew9hapXkdU0IwXfffUdqaipScxfiTx0rc8/NRmWdwqPv+5d4K6boRCZmHwOXJLCf1tbedRTYfJ4XbhXVFXiO7cwpwHLgpHdbp5us5Rs1jaIUFuOJ4Cyf2qDokSNiAw88RIggqKj7NDU11asGob9VYmRkJBMmTGDAgAEsXLiQZcuWkZyczLhx/ieinTt3pmXLlmzYsIEZM2YwZcoUVq9e7bPWaTF79+4NWP6tPOcjnFEl+RIrV66kR48efPPNNyXn9Ho9//jHP3A6vV1yIWoeBdFG3D7MmoogI4gEduFn70sAstl3oM6cOXNYsmQJLpeLzld3QtGXfYaiU3A5tHU2CsIbIEneY3epEpkiXrO9PsK3e1SSZWRd4D09Se9/Xikbg5hM1G3mSW0o/xLLCkrDyz/6NUT1IypwANStW5fExMQyhz+jKEkSYWFhtG7dmtmzZ5OcnMyGDRsCjkev11O7dm0GDRrEyy+/TGZmJocOBa5mExMTw8CBA9mzZw/79u0LeOzdu5dOGprFgagSo7ho0SLGjRtHnz59Ss41adKEZs2alRR+DFGzSXNZyZdURCnDKBCowDaddrBURnSUz3xDFbDV9W2Yrr76aqKiopg6dSq5P6WhOsuulpw2B588+ZZm31FtW7L1eBROt1TiAXa6JY7nGFHaJGu2T/xbMpLi/SpIeoXoVoEVcXQRZmK6twVd2fayyUC927SFiCVZwdj7DuRaDT0K5JKMFFMXY+/bkPTagTohQmjheY+1D+HT11MxOnbsWKFygR07dgTQbJOYmMhdd90VVN67JEk88IB2HVZ/VIlRTElJ4emnn/ZKmKxbty5ff/11VXQRopqpFxNDpJCRSjlQJSRUBM3D/G+wF7My34aDson4LgF7VInj2Z6cIZvNxq5du0qu9+3bl1dffZUr27YjL8O3lNzhP/zvIxTTrF8HdmfXZvmuWuzLCOOvU2Z+/DOWn4/Uof0tfTXbt7n/RvRRYWUMoxJm5IoHBmOICtNs33r+g5gbJ6CEm5DDjMhmA9EpbWn04E2abQHksCiMvcZhGvQopoGPYOo3HjlKe4UbIkQwXMjSUZmZmaSkpAR9f0ZGBg0aNKBx48YB74uIiKBdu3ZBP/eaa64J+t7yVIlRdLl8u7jWrVtHUVFRVXQR4ixCCE5s3s/mhT/w5/JNJTl650udfCeifO0mwIBMa4f21vPx3AIWumUy8MTrOAVsViW+UmUKsvM4cOAAU6ZMYcaMGRw/fhzwzOgiIiJQXQFexyAmr3qzkRHvPUGeFMOmzHqsO1mfk5ZI+k+/i1rN62u2NyfEMnDVP2g6uhdhDWoR1z6Ja+bew5WPD9PuHDDWiaXLr6/Q7v2ptPjn3SR/9xJXfTwtKHm80kh6I5IhtDoMUbVU1H0aDPn5+cyYMYMtW7aUnNuxYwd5eXkMHz4cgLfffpvBgweTne2Z8H7//fe8/fbbJUUiXC4Xr732Gi+88ELAwJwLTZWMJDExkbfeeou77roLg8GAzWbjgw8+IDU1tcK1rEL4x2V38uX4OZzccgDV5UbR69CZDYz54jnimtTVfkAAFKPh7OZ02VdDRaAP1871c1kdDJBV4vCUjVIFdJQFB1XBLz/8zJ7P9uN2u2nUqJF34yoQIm7YpTUT1szh97dW4LTa6XjnAGo1rRd0+7D6tbhmzoRK9y/JMrE9gp/JhghxoXADriDesYqUl3Y6nWzatInU1FRSUlLo1KkTsbGxvPHGGyUSjDk5OWRlZZXkqmdkZPDuu+/y4YcfcuONNxIXF8e9997rU6XqYlIlRnHUqFG89NJLdOzYkZiYGLKzs1FVlXbt2oUEwSuBvdDKsa0HMEaYSezQrCSSavPCHzix+S9cNo9Ki9vhwmGx8+2Dr3HH8pcCPVKTvPqRqG6V8hbKBfwVI6Mli91eVmkiPGkQAMXVom6WVWbu3oG7vp6BAwcyduxYrygzo59AHKBM4d5AHP5lO9uf/ietaxegyIJNty+jzu13cfW9oVShEP/bFO8ZBnNfsNSqVYulS5cGvGfq1KlMnTq15O933XUXd911V9B9XCyqbM36zDPPMGrUKDZt2oTT6aR58+b06NGjxteUq2ls/HA137/0IbJeQaiCsJgI7nz/SeKb1Wfnp7+UGMQShCDrrxMUZuYQkRCL02rn0Lcbydl/grg2DWk6sAs6k/9Q52IOHkzjy7AiRljO7aHJSKyRCjBmZnCzRvtrJLXEIJbGALSIMnPzM0+W0cUtjd3mP5BH+MmdLNO+wMKpfz5L90ZF6BXP/TEmOznLX+NU9yuoc8UF0msLEaIGUl3ap5crVerIbdmypVdu4sGDB2nWLFRCJhiObTvAiukfePYJz6bOOYpsLBr7D6asn392JeeNBAhVpeBEFl8Neg5HngXV4UI26tk481NGLJ9OWJ3ACfQNGtXnoLDzslxES2HEgMQByU6hIhjf3IfLsxxh5SsllKJ3o7Z+DSKArcDq91owHPl6Fc1qFaGTz73WegVizE6Ov/8RdWZNO6/nhwhxKVNdVTIuVyoVaJOenl6iQi6E4OTJkz6Po0ePsnjx4qoc72XNr++u8Bk4U3A6j7Q/9tN2aAqKj9y3qMTaRNarxc+PvIXtdD7q2dw+1e7Ekp7D2icXafbdIKk+TqcTpyTYLdvYKlspkFSEKqiXqL1fWRhgmplpDRwMFBVA8UYKIgRbn3HIZzqIQRFE5KZptg8R4nImmHSMYF2s/wtUaqU4bNgwunfvzty5c5Ekidtvv50TJ/xLgU2fPr3SA/xfIn3XYZ/nhVvl1IETdJ04mAOrt5KbdgpnkQ2d2YCsUxj86gMIVSX9t70+2x9dvVWz7z9+9dQ3s1q8V22/r9vCoFtu8NvW7XazUUgMQni5UJ2A0jawp0Cn19Ei5Qr+Wr/b61rP271FhMtTu2NbbH9853XepUJU6+aa7UOEuNwJmbvgqZRRnDhxIklJSSV/HzhwIE6nkxYtWpS5z+FwsGLFivMa4P8SSoAQfr3JiCHcxB3fTefA6i2c3HKAqAa1aTs0BVN0OKrL5b8mYRD7cqYwM7Is0UwY6KyGYUBil2Rjp2InIsJ/rl5mZibz5s3joCRzlXBTHzBI4BYed8xXqswNHbTl/oY9exuzBz2NKOUi1pn0XDtxiGbbyN79cHzwKsJhLSMMI8kK8eNu02wfIsTljAuBKwizGMw9/wtUyijecccdZf4+bNgwoqKifJYMKW8oQ/inWfd2nNp/3Ou8rFOo37ZxyZ9bXt+Zltd3LnOPAE/mvK/ApkCl7c/SpdfVdLca6KJGYDjrVW8k9HR0h9F9pHeRYSEEa9asYeHChVitVvR1TCxJt9FSErSUBEXAVlUmR5Z54ArtgrWfPvUuQi27q6E63Syb8RG3vxK4dJSk0xP70mvG9zhFAAAgAElEQVTkz5iKOy/Xc85gIPLhZ1Dizy9VJUSIS51QoE3FqJJAm9KrxtIcPXq0RiVl1nS6j7+BPz79GYflXDSmrFNo1LEFCa0aBmwbhN0LiPNUHtc4jOhKrTUNyCQIsK3/Ezqeq9ZgtVp58803Wb9+PeBRNBpy3RD+Pvwp9tkc7BPFY5fp0DOZhEaBDZPD5uDYzkNeb6XqVtm9+o+gxq8kNiHmtU9Rjx1GOB0oSS2QlJpdizBEiAtBKNCmYlTKYk2fPr1ElSAQhw8fpkOHDudVBdkXhw4domlT7dXHpUZsw3jGfzSNr596l8z9x5EVmXY3dGXIS9q5PZIk+U+CDyIr5o8lK3Dj/YUwIvPXRz+S/OA5dRdFUTh+/Dhms5m7776b3r17I0kSU956ivmP/Zv8M/lIkkS7lPY8vmAqWsiy7MlHdEO04iJG5+aMU0ehqqAYgv+KSpKE0ujy+16ECHF+BKtrGlorQiWNYkZGBps3byY83FPA1W63k5eXR506dcrcl5OTE7AwZTAcPnyYG2+8EbWUa+2xxx7jvvvuO6/n1lQadmjOQ9/PxGGxoeh1KAGqMJRBArcQ6Hy4Tx2+6vWVwy6Brx1NgcCqunG5XDidTsxmMwaDgcceewydTldSYqYwr5AFT76O5Wx6hRCCP3/fyzdvfsWoR28N2LfOoKNd7/a02v4zDfV23EjoJMFeWxi2EQO1P3uIECH8ElopVoxKGcWUlBRmz55NWJgnAGPevHmMGjWKevXKymrt2LGDzZs3n9cAFy1axLRp00r6kmX5f0I6zhBWMQ1MSZLY7DxNV32dMoIJQgh+c57iYY32rbq2Y9/8731ei21Qi6effpoGDRowefJkwCPtV5r/vL+C/Ox8XI5z6Rd2q52v3/ySG+4aRGRMZMD+Byc6se1zoAP0Z2esbcw2IrWlS0OECBEAj1EMRtEmBFTSKI4ePbrMXqHJZPIyiADt27dnypQpjB8/vlKDy8zMJDc3N2DByhAehBDEyEavCFQBxMr+ZdSKsR7JxInAUM7XKiFxdOteDkkShYWF5Ofn+1z9b1+7Fafd4XVeb9BzeNdB2vfwn7wvXC5ca9aiK/fi6lCxLf0G7gxFkIYIUVlCgTYVo1LJ++WDZ44cOeLzvo0bN5Kbm1uZLgBYvHgxK1eupHfv3jz99NPs2bOn0s+63JGAFko0cjn3qSxJtNUFVrMB+HbNbz7PO1A5arXSu3dv5s6d69cdXqtebZ+Sfm6Xm5j4wBXkhdOJ6vRdacWVm6cx8hAhQgTCfTYlQ+vwVWT8f5EqKR2VlJTEAw88wPr16zly5Ajbt29nwYIFPPTQQ+dVAblVq1ZMmDCBOnXq8OWXXzJy5Eg+//zzqhhyjaXgVC5fPPYmL111Dy93e4jflvynzH6qPyRJ8pmNAZSpkeiPY04rJ3HhLOVEURG4gO16Jw899BBms/9qGQPvHoLeWFZjVVZk6jdtQKNWgWulqbKObKd3pKgqIM2urdsaIkQI/4gK/BeiilIy7rvvPmbOnMmECRMQZ3MDhBAkJSWdV5WMoUOHlvx548aN/N///R/PPfccycnJNG9eVqkkPz+f/Pz8MucyMjIq3ffFwJpXyL/6PoajyHb270V89/clHFq3m7FvPxawrSoEB935NJejyqzYVCHYL7RXWy3bt+DDtVsYoEbQATMKEodwsFzOR4mK0Gzf/KoW3P/yA3w47U3qO10UqSqGds15/K2nNNuqQvCfvGhGxp1BkTyVNlwCXEJijTWW4EuWhggRojyhQJuKUWVJhE8++SRjxozh119/xWKxkJSURO/evdHrK1Zo1R9du3Zl0aJF3HTTTaxYsYKHHy4bOrJkyRJee+21KunrYvGfmZ+UGMTS7Fm5mZxjp4lt6L8auyzL2CXvmZ4E2GTtGWBhXiEOSfCdUsCPohAdEgWoIEFsEPqjAK1OZjLZdTZVRwZdZjphRRYgsPvUYDKgu6ItS3bspVN4EbX1Lk469PxhjaT1kO5B9R0iRAjfBLsKDK0UPVSZUczPz6ewsJAxY8bgcDhYvnw5bre7yowiQLNmzbj66qvJysryunbHHXcwbFjZSukZGRmMHTu2yvqvbvb9uMXvtW1fr6PvQ0NJT8/kjRde59CG3UTVr8X45+6n8zUdAbhCjvFylEqSRAfZv1ESQrBixQrWr/+NCCFzsxpNIwwIIB83S+U8CoPIcyxY+wdZ/3rf4/M8iyszmyO3/B8tN3yoWULs1pfv55URz/GzPQxHrh1DmJHw+EiGPDlGu/MQIUL4pbpWikIIFi1axMcff0xWVhZt2rThmWee4YorrvDbZt++fcyaNYtdu3ZhMpno27cvjz/+ONHR0RXsvfqoEqO4ZcsW7rvvPpo1a8Ynn3yCwWCgS5cuPPLII/zjH/+gVq1aVdENANHR0T6fFxUVdd45kRebQNqnxggTRw8fY0avB2gohdNGGBBn8vlm5AyOPD+K4XcM97tzKPv5tmdnZ/PGG2+wbds2XDo7d6lxxKGgnH1SLXTcpsbyexAybafnljWIxbizcrFu2UfY1W0Ctk9oVp/n1r7K5q//S+aBkzRq35QOg7phCKIWZE3A+efvuDZ/jyjMRa7dAH23oSj1QyXTQlx8BAI1CMkr4cPTFIh33nmHsLAwPvvsM3Jycpg2bRoTJ05kzZo1PifBJ06c4Pnnn2fkyJHcfPPNrFq1ik8//ZRjx47x3nvvVajv6qRKAm1mzpxJcnIyCQkJJecaNGjA9ddfz5w5c6qiCwBcLhd79uzh2muvrbJn1iRaD+pcsidbGoEgeURP5t09nUQpHL2kYJAVjLKOcEnP+uc/wh2gnqEvfv/9d5544gm2bdtGZGQkT992F9GlDGIxOiQG1U/SfJ4jLd3vNeu2fUGNyRwVRs/br+PmF++iy829Lx2DuHMtzl8+RuSeApcDNeMw9m9fw51x6GIPLUQI3GcjS4M5gsVms5GUlMS4ceOIi4ujWbNm3HPPPWRmZpKTk+Ozzccff8z8+fMZMWIEAwcO5JVXXqF3796sX7+e48e9NZ8vFlViFMPDw3n77bfLGEWARo0asXbt2ko9c+PGjTzwwAP88ssvJefmz5/PoEGDaNeu3fkMt8ayLv0vT05RKcMohCDXbePw8RMY/srGIJWN0lQkmXjJzIFtf/r9Spc+b7PZeOutt5g1axb5+flcddVVzJ07l2ir4lPRRkEi6/f9mmNX/QTjCMDYpolm+0sVoao4N34HrnI5mi4nzt+WXZxBhQhRiuqIPjWZTAwYULasW35+Pu3bt/dZGAKge/fuxMeXjYvo2bNnSduaQpW4T/3pkK5bty4ojVRfREVFceLECR588EF69+5N48aN6dq1K7179z6fodZo8n7+i1go43qQJIkY2cSOdVtLqleUR0YiLy+fU6qVOpLJS9HmhHSuRuLOnTtZtWoVOp2OcePGMXDgQCRJYtPh477LTiHIP+175leaHfG1aXcsE7ncQxxAVnQU2vGrlyi2Qm+DeBb1zMkLPJgQIbyp6J6ir6h9re2prKwsVq5cGTDYsVu3bl7nbDYb0dHRNPt/9u48PKrqfOD4986eyZ4Aiez7qkAACyKCKEKhoohSZfmpVVBB0CpaXOtaEVGryCLYUBRjRWURLUYqKC4QEBHCIosiEJYkhEz2We+9vz8mBMJMMpNkJjMJ59Nnnj7e9Z0kzDvn3HPe0yF8HjUEJClGRUXxyy+/VHwYl5aWkpaWxuLFiyu+CdRUt27dWLNmTSDCazASHDqQvE9i12YV45FxyklAmy5t+UHO5SZda1RVRZKkihbnFvXcwKTLL7+ccePGMWDAANq0OTd/MDoqkhKv15YwVfOs86x9aHCq0At394MKyMAKk5kJlvD5FhhwRjNotCB7/t6kmMA9SxeE2lJR/Srzdral6G1w4vTp05kxY4bH9qKiIpYtW0ZaWhoFBQWYzWbmzJnj9+pIGRkZ3HnnnRiNvqtu1ZeAJMVp06bx4IMPsnXrVtatW0d+fj6yLNO5c+c6zVO82MQ2iaPwuOfIWiSJ1p3bciQqCrXE7rFb0UhEoOMqcwskZ+VWpqKqDNA25ffff6ddO3c35q233upxjZatLmF/FUN1mjTz/eHe++q+rMz8jS12O+0kFSuwX5XABe0v6+jz/IZK0urQ9bwa166vK7cYdXoMf7g+dIEJQjl3mTd/kqJbWlpaRaH/s6pqJUZHRzN58mSGDx9Oamoqa9euJSUlxa/SnLt27aK0tJQpU6b4PLY+BSQpGo1G3n77bXbu3MnOnTsBd5fqoEGD0Pg5x02Aq6fdyKdPpHps12gk+twymOMbd/Hrhp89UpfRZCSyaRxNHFqPZaI0ksQlspF3332XZ599tsp7R7RsgkanRXV5DtiJv8z3M8ER/zeS/6WlY8kr4LTD3WoyRhi5cdrNRMU22s5TAPT9/wQaLa6dG92JMSIK/ZU3oW1b9dB0QagvNe0+TU5O9ij4XxVJkjCbzXTt2pW5c+eSlZVFRkaGz6RYUFDAokWLWLhwYUCn7QVCQJLi2LFjufzyy3n88cfp3bvqws9C9S4ffw2/rN/OwU2ZFasGS1oNt82bgd5kYNDDN3N0815c1nMtEl2EgYEzbgSdhAsVvZfWngOFhx56qNp7Jw7picZkQC6xVtquiTDQYsJQn7FHxkbxyhdv8Pk7n7L9f9uITojh+sk30G/YH/x56w2aJGkw/GEU+n5/BJcT9Aaf8zIFob6oqup1VLvHcQGYvN+nTx9Onap6JDq4nyO+9NJLPPPMM1UOygmlgCTFkpISBgwY4HVfdna2R1Nc8E6SJO5YNotdazfz04pviIiL5LqZ42jS3r1+UkLH5sS1SeLMweOoilrRKuwwrA96vZ6drnx66xLQS+da505VZod8hod8TI7VRhhIee8RdkyYg+p0oaogaSTaPTCGuL6d/Io/Oi6a8Y9OYvyjF+eqJpJGA4bweTYiCHCuILg/x9VVTk4OAwdWXZjR4XDwwgsvMGPGjEorKx05coTk5GRMppotmRcMAenbfP311zl9+rTXfevXrw/ELS4Kqqqy5olUVv9tCUe27efAxp3Mv/5JfvthDwA/LllHwZFsd0IEUMFlc/D5AwuQJIkjbQ0ckYtxqgo21YVTVTgkF1PSM6mau55z5vu9qBKosgKKAjoteRt2VrmChSAI4S8YUzKKioqYPXs2O3acq8KVmZlJYWEhY8eOBWDJkiWMHj2a/Px8wD3PfObMmbRq1Yq9e/eSnp5Oeno6K1euZOHChWGRECFALcX58+ezZ88e5s2bV2kUkSzL5ObmcvvttwfiNo3ega93snP19zht7u5RuTwZpd33T57Y/jZ7PvkWl81Z+SQV8n/PpjjHQs6ZfD50FBAvGUiQjOSpdgpVB82zPde6vJAtO5+jCz5DtZ+7vmpzUPLLUXL/u43kMaIstyA0RIqfo0/9OeYsp9PJtm3bSEtLY+DAgfTr14/4+HgWLlyIVuueS22xWMjLy8Nudw8OfOKJJ1i/fr3XhtKLL77o972DLSBJsVu3bhQWFtK2bdtK22VZZtu2bYG4xUVhx8ebcFo9R5eqisqRbfspK7N6OQucDicupxNLfgHJUgRX65NpponglFLGJmc2J49X38cPYNn8C5JeC/bKSVcutZObvl0kRUFooILxTDExMZHVq1dXe8ysWbOYNWtWxX+/8sorvPLKK37fI1QCkhRHjRrF2LFjadWqlce+devWBeIWFwVbUanX7Y4yG7Iss0+20EbVVHpmqKgqeS4redYi2mmimGDsgIT7+WSMpKeTNpZ37Yd83lsfF4nH0FUArQZD0/Ap1isIQs2IpaNqptZJMSsri9TUVE6ePEm3bt24++67vR43atSoWgd3sTmdb6mYeH8+VVGR9Fq2F5+kDS0rTc6XgO2uHKZKWm4ytkVzQTUcLXCzoa3PeydcdSkaow75ghn8GoOOlhOvqfubEwQhRPx9XiiWjoJaJsWTJ09y8803V9Sr+/bbb9m4cSMrVqzAbDYHNMCLSfbRk5i9DOVXgR+/387VCe2Qsp0VSfPs/19paE5SUlPMeK5eDxAj+Z4HpNHr6PfxU/w0fjauwlKQJFQVus+dTFRXzx4AQRAahmA8U2zMajX6NDU1ldjYWJ577jkWL17MjBkzOH78OMuWLQtweBcXCbz2/UuARqsl+rQdneT5KzNLeqw5hXW+v+qSUV0KlN9DQkW+4BmjIAgNi6yqyKrix0skRahlS/Gnn35ixYoVFRMvhwwZQufOnUlLS2PatGkBDfBiEqUxIkueA20A2jRLYqfLSaTG81cmASdPn6ZUdRHlpVVYoHovWH0+xeHip1tfwmmp3H964Kl3iUvpSHSPNlWcKQhCOPN3ukUgJu83BrVqKSYlJXlUIrjuuusqht6eLzc3t3aRXYTOr1Rzod92HOAnew4OtXIZNllVOOUqwaGD1c6jyKpS0dpUy78hfobv1RrOfLsbxelZ4k1xuDietrGG70QQhHChqu5Fhn29/BmhejGoVVKs6rmht5I96enptbnFRclB1X+YVp3Cb0YrhxwWnKqMXXG/ChU7q0sO0b17Z7qM+ANrXMcoUp24VIUC1cFK11EuH+N7uS1XURleH7TLCs4Cb+tnCILQEKg1eAm17D7dvHkzjz/+uMf2ffv2VdputVrZvHmzmLzvJ2NSNOoJ78ss9brucgxrVnCgNJ92+liMkhYV+NVuoUx1UVRUzEO3jWfTN2fQ4F5jMVYyMFbTlhG3/tnnvRMG9UD10lLUmo00G3l5Hd+ZIAihoqAiiYE2fqtVUiwsLKxy4uaF20VhZP81a5pI7slij+2KRiJaMtJcNXFtVDIG6dwo096mJLSSBlVV2fPKSnTnzTXUIKEBdr38CR2HVF+o3dgsjvYPjeXwm2tQbHZQQWM2EtO7g99J0XbgCNnPL6bsp31ozCbiJ46i2QMTkfQBmQ4rCEItiKRYM7X6tEpJSeHee+/1Of2irKyM5cuX1yqwi82+ffv4Jec3YlXQSZWnVmg0Es06tqCXM65SQgQwSFp6GpsSZTBReNhzxWyAvD1H/Yqh/UM3EX9FV46/twFXiZXkG64g6cYBaHTep3qcz3EilyPjHkEpdVfdUQpLyF+6BufRbFrOm+XjbEEQgkVRFVB9T81XxPR9oJZJ8d577+Xqq6/261ixnqJ/OnbsyBFjGT3UCDSoFZPwnapMlrUIl1lLrGrwWnRGQiJjY0bVF6/BA/T4Ad2IH9CtpuGT/+81KBdM31BtDoq/2oLz5Gn0zZvW+JqCINRdTRcZvtjVKmP5mxABBg8eXJtbXBR27NhBaam7tJvBYECJiOT9vJ85arcgqwp2xcXPpSf5b/EBfvxxJ/rybtILaZFo1dX3QsDBZN19CFyeq2lIBj32w8dDEJEgCHCu9qk/LyFAtU+FmrHb7bz33nt8+eWXXHnllfz1r39FkiRsNhtnXGWstfxCS2MsdsXFcUchKhBhNqGXNEjemopAVFlouz5MXdth3XkAXJUH66gOF4a2zUMUlSAIip9jS8UzRTeRFOvZ4cOHefPNNzlx4gQ6nY6OHTtW7MvNPU2/yBYMjmmHXF7X1KnKrDizm9ycvGqvm5ubR0y7JIp+z/HY1+TStgF+F54S776JglUbUM9LipLRQNTgPhha+reeoyAIgReMVTIaM/HAr56oqsqnn37KE088wYkTJ2jZsiUvv/wyo0ePrhihG1kmMTi6HXpJi0mjw6jREakxcGviZWRl+ZiAL6tc9Y870ZkMlTbrTAaufCH4U2IMrS+hbdrLmHp2AklCijASd9sfafGmGGQjCKF0tvapP6+aUFWV1NRUhg0bRu/evRk/fjx79+7169yvv/6a8ePH1+btBJ1oKdYDl8vFiy++yJ49ewAYOXIkkyZNqrQgM8Af4lqjtVT+w5QkCb2kpWvCJRyoousUCZo2b0rL/t24fsUT/PTPVVgOnSSxR2v6PnQTTS+rn+eNET070X71G6iyDBqNmI4jCGEhOKtkvPPOO5jNZj766CMsFgtPPvkkU6dOZdOmTVX+2z9x4gQ//PADb775Jnl51fd+hYpIivVAp9PRvHlzsrKymDZtGn379vV6XNf27cndcdhjuyRJdG7bll8NOmSHl8EsSEQnu6sJJfXtyKj3/xbYN1BDktb3FA5BEOqHjIKk+v6Cqkr+j0uw2Wy0bduW4cOHA+5qZlOmTGHatGlYLBav1c0AWrRowZ///Gd+/PFH1q5d6/f96pPoPg0Sq9XKiRMnKv77jjvu4LXXXqsyIQJcNf46JL1nQokwGmn7h670GDvI63mm+CjiWjere9CCIDQ6iopftU+VGjQUTSZTRUI8q6ioiJ49e1aZEM+nDeMvziIpBsHBgwd59NFHeemll7Ba3ZPZjUYjcXFx1Z7X/U/9Kda6cJYX/VZUBacqk3hdDyJiI7n6ifHEtGqCpC3/tUkSWqOem1Nniq5KQRC8UmvwP4Ds7GyOHz9e6XV27dyq5OXlsX79eubPn18fbymoRPdpAMmyzKpVq/j4449RFIW2bdtSXFxMRESEX+evWZvOezk/0VqJpIupKVbVyc7SUxS8/xN3z5lOVGwkk796hf3/3UpWxi/Etm5Gzz8PISopPsjvTBCEhsrvOYjlI94nTpzosWv69OnMmDHDY3tRURHLli0jLS2NgoICzGYzc+bMQadruKml4UYeZnJycpg3bx4HDhwAYPTo0UyYMAG93veq92et+OhTiktL2Uspe63nltyKiYjm2+8yGDXyWnQmA5fefBWX3nxVwN+DIDR06enpnDp1il27dtGhQwevH+QXG9XvNTDcSTEtLY3k5ORKe2JiYryeER0dzeTJkxk+fDipqamsXbuWlJQUJk2aVOe4Q0UkxQDYvHkzixYtwmq1Eh8fz4wZM+jZs2eNr2M2e29RqqpKRISprmEKQqN27NgxcnJy+Mtf/oLNZuOPf/wjbdq04YYbbgh1aCGlqKp/pR5VFQ2QnJxMy5Yt/bq2JEmYzWa6du3K3LlzycrKIiMjo0EnRfFMMUCsViv9+/fn9ddfr1VCBLj77gleE6PBYOCqQf3rGqIgNGoHDx4kNTUVcA8E6dmzJzt27AhxVKGnqLLfr7rq06dPjXrHwpFoKdZSfn5+xSirgQMHEhsbS/fu3es04OWaoYN46K/38O4b79HelIADhd/lAlavfa9B99ELQm0cPHiQBQsWkJGRQWFhIcOHD8dgMOBwOLBYLLRt25Z77723olUzePBglixZUnF+Tk4O/fr1q9W9161bx5YtW2jdujW7d+9m3LhxXHVV9Y8s7r77br7//nuP7TqdjoyMDKKjo3G5XCxcuBCHw4FGo+HgwYPcd9999O59bmk3f46pCX8LggdiqF5OTg4DBw4MwJVCR3zS1pDL5eKjjz7i888/58UXX6R9+/YA9OjRo87XVlWVnqUx3J7UF5fDiaTRcK1eR3xZ5Qa9vcRK/uFTRDWLq5ifKAiNTefOnXnzzTe57bbbMBqNzJs3r2KfLMs89dRT3HzzzaxZs4ZLLrkEg8FA165dAfdSbBaLhVtuuaXG9/3444+ZP38+X3zxBWazmezsbP70pz+xePHiKpPs0aNHkWWZN954A5Pp3KOOTZs2cezYMaKjowF4+umniY6O5oknngBg165d3HHHHaSlpVV8hvhzTE24B9r4daDf1ywqKmLBggWMGDGCPn36AJCZmUlhYSFjx44FYMmSJXz22We8++67HtM0HA4HAIqihN1KSuEVTZg7efIkTz31FKtWrcLpdFYMqgmU/Rt2sGPN98h2J5IKyAoum4P37/snTpv7j2jzW5+yoO/9rJgwmyWDZ/LJnXOxl1gDGocghIvS0lJ2797NkCFDKm3XarX06NGDgoICMjMzK+2z2+3MmzeP1NRUn2u+XqikpIRXXnmFG2+8seLc5ORkBg8ezIsvvljleYcPH2bhwoWMHDmSoUOHVryys7MZMWIEAAcOHGDVqlUMHTq04rxevXrRoUMHXn75Zb+PqalglHlzOp1s27aN22+/nXvuuYclS5Zw4MABFi5cWDEH0WKxkJeXh91urzjv9OnTfPjhh3z77bcAvP766x6/v1ATLUU/qKrKxo0bWbp0KXa7nSZNmvDAAw/QvXv3gN7nqyVrwelZVaKszMrhjH2oJTa2LliLy+YAm3vf0R/28sUjSxjz9oMBjUUQwsH27dtxuVweSVFVVb788ktiY2M9CmIsXLiQp59+mhYtWnDkyBHatm3r9/2+++47ioqK6NWrV6XtvXr1Yt26dRw8eJDOnTt7nHd+EjuruLiYLVu28I9//AOArVu3ApCUVLlAfvfu3fnoo48oKCjw6xhf850vFIyWYmJiIqtXr672mFmzZjFrVuXax02bNuW2227jtttu8/te9U20FH0oLi7m1VdfZdGiRdjtdgYNGsRrr70W8IQIcPjwUa/bVVT27j3A1kWf47TaK+2THS5+2/AztsLSgMcjCKGWkZFBixYt6NChQ8W2goICnnnmGUpLS1m+fDlNmjSp2Pfhhx8yZMgQDAYDOTk5bN68udL1NmzYQJ8+ffjmm2+83m///v0ANG9eebmzFi1aALB7926/Y9+wYQM9e/YkMTERcLeuwP2Zcr6zXYvHjh3z65ia8q+ajfsliJaiT1arlczMTCIiIpgyZUpQF03OjXbRPNeFQVP51yIhoWsRQ9kZ71UlNFottsJSTLGRQYtNEEIhIyODhIQElixZgizLbNu2jTNnzvDCCy/w/PPPVzr2p59+4rnnnkNRzvW2vPnmm5WOMZlMxMTEVDlC0mKxABAZWfnf0tmu1DNnzvgde3p6ekXXKVCR2Ldv316pJXr+MzV/jqkpf8uB17QgeGMlkqIXTqcTnU6HJEk0a9aMmTNncskll3h0aQTadXdez2ePLaWjPgGtJKHi/va2rvQQT149kIVj0xEAACAASURBVP+t2k3xqXyP81RFIaZFEy9XFISGq7CwkP379zN79mzGjBkDwOTJk7n99ttZv369Rxdn3759+eWXX6q95pVXXlllKxHc058Aj1HkZ5OSv9MNSkpK2Lx5M88991zFtsGDB9O9e3eWLl3K4MGD6dSpE8ePH2fjxo2Au8v00ksv9XlMTSn41woU3YZu4udwgaysLB577DG++OKLim29e/cOekIEGDfmT7Q3uROiJEloJA1aScOEq64lLi4We5H3LlJZVnDZHUGPTxDq07Zt21AUpdIzQ71eT0pKCv/5z3+Ccs+zXZ2lpZX/rZ39b38/B7766iu6d+9e6XiNRsOyZcu47rrreOSRR3jggQdIT09Hq9XStm1bkpKS/Dqmps6WefPnJYiWYgVVVUlPT2f58uU4HA7+97//MWLEiHqt5v7NvDUYVE2lCUOSJFG28wTFORaKTnq2EgF0Bh2lpwsxtBFVb4TGIyMjg2bNmtGqVatK2/fv318xpD/Qzk55yM7OrpjeAXDq1CmAStuqk56e7rGKBEBsbCzPPvtsxX/v37+fuXPn8vjjj9fomJrwewUMFQIzW7FhEy1F3A/uZ8+eTWpqKg6Hg2uuuYaXXnqp3pc32f3Zlir3bf94E826t67ybzZaFAUXGpmMjAyvS63t3r2bqKiooNxz4MCBxMXFsWvXrkrbd+7cyWWXXVYxL7k6JSUl/PDDD16T4vlsNhuPPfYYffr0YcKECbU+xhfRUqyZiz4p/vTTT8ycOZMdO3YQFRXFI488wrRp0/xe2SKQNNqqfx06g45BM29BZzJU3h5hoP/U0R7bBaEhO336NL/++qvXpGgwGCqe/eXn57Ns2TK/r7t582auvfZatmzx/gVUp9Mxbdo0Pv30U2w297yn3NxcNm7cyP33319x3JIlSxg9ejT5+Z69Nxs2bKBTp07V1g+1WCw8+OCDJCQksHjx4or3U9Nj/KH6OUfR3+E4jd1F3X2qqioff/wxhYWFXHrppcyYMaPimUIo9JtwLRte+9j7vtuGEhETya1pj/P1i2nk7j2KuUksA+4fTa8J19RzpIIQHFlZWbz++uscOnQIgJUrV3Lw4EFeeOGFimNeeuklXn31VebPn4+iKNx1111+X99ms2GxWCrWOfXmjjvuwGAw8PTTT9O5c2f27NnDK6+8UmkuoreJ6WddOOr0fEePHmXDhg189913jBo1iptvvtljZKk/x9SEv/MURUPRTVIbcZv5+PHjXHvttWzYsKHStzZVVStGl508eZKffvqJ66+/PuQL9cpOF/P++Bh5v508t1GC4X+7lSFTbwxdYIIgBMT3339P586dadasWZ2OOauqz7jz9506aUf2o9a3VguXNDd6vdbFpEG1FOfNm8fJkydrXe5IVVXWrl3Lb7/9xkMPPYQkSTRv3txjom6oaPU6HvhyDnv+m8GOT77FnBDN4HtHc0n3NqEOTRCEABg0aFBAjqkJRcWvKRmSKgbZQANKipmZmSxZsoTrr7++Vufn5+fz1ltvVVSk+OMf/xiUqjR1pdVp6XXjlfS68cpQhyIIQiPg7yCaxttnWDMNIilarVbef//9Wq9T+PPPP7Ny5UpKSkqIjY1l6tSpYZkQBUEQAk8MoqmJBjH6dN68eUybNq3WUyTeeecdSkpKSElJ4dVXX631GmuCIAgNjYqfUzJE4gQaQEtx06ZNtGrVymel+6KiIoqKKtcGPXHiBOBes2vMmDEMGTKE0tJSj2oVgiAIDVF2djbgXl+yKhqNexCNL2G2rGHIhHVStFgspKenM3v2bJ/Hvvvuu8yfP9/rvkOHDvHCCy9UGtYtCILQWBw5coQ2bSoPyIuKiiI2NrZG14mNjQ1aYYSGIqyT4uuvv85f//pXv4694447uOmmmyptO3bsGH/5y1947733KpZ+EXzLzs5m4sSJpKWlkZycHOpwGgzxc6s98bOrnRMnTnD77bd7lMIDiIuLY/369ZSUlPh9vaioqBqv19jYhG1SXL16NQMGDPC7AG5MTAwxMTFe97Vo0eKinndTW8nJyeLnVgvi51Z74mdXO1VVu4mLi7vok1xNhW1SXLVqFXv27OGpp56q2Gaz2dixYwdffvkl9957L/fdd18IIxQEQRAam7BNiq+++mpF7cGzHnnkEZKTk3nkkUdq3FcuCIIgCL6EbVL01m1qMpmIjIz0eKAsCIIgCIGgffb8hbvC3OrVq4mJiWHYsGF+n2M0Gunfvz9GozGIkTU+4udWO+LnVnviZ1c74ucWWI26ILggCIIg1ISYrikIgiAI5URSFHw6fPhwqENoUBwOBz///DPp6eliNXNBaGAuiu7Tui45dTH5/fffGTVqFIqiVGx7+OGHuffee0MYVcOQm5vL/PnzOXbsGHfddRcDBgyo9WrpF4u7776b77//3mO7TqcjIyOD6OjoEEQV3hRFYenSpeTl5REdHc3hw4fp168f48ePD3VojULYjj4NlLouOXWxWbp0KU8++SRmsxkAjUZTo4FNF6vdu3czdepUbr75Zp555plaF6+/mBw9ehRZlnnjjTcwmUwV2zdt2sSxY8dEQqzCggUL2LdvH4sWLQLA6XQyatQoEhISGDFiRIija/gadVKs65JTF5ucnBwKCgqYNGlSqENpUE6dOsU999zDlVdeyUMPPRTqcBqMw4cPs3DhwoovYGetWLFCfLhX46uvvmLAgAEV/63X6+nRowdbt24VP7cAaNTPFOu65NTFZtmyZaxfv54hQ4bwxBNPsG/fvlCH1CC8+uqrFBYWMnPmzFCH0qAMHTrUIyEWFxezZcsW0TtRjYSEBNLT0yksLATciwjv37+fHj16hDiyxqHRJkV/l5wSzunSpQuTJ0+mWbNmrFy5knHjxvHxxx+HOqywVlxcTHp6OpdccgmpqalMnDiRfv36cd9995GVlRXq8BqcDRs20LNnTxITE0MdSth68MEHsVgsTJo0iczMTJ577jlGjRrF2LFjQx1ao9Aok+LZJacmTJgQ6lAalDFjxvDoo4/y8ccf895779GkSRP+/ve/8+uvv4Y6tLCVmZmJy+Wiffv2zJw5k7S0NNasWcPBgweZOnUqLpcr1CE2KOnp6aIL0IfevXuzdOlScnNzGTduHGVlZUybNg1JkkIdWqPQKJNiTZacErzr378/S5cuRavVsm7dulCHE7YsFgsAt956KxEREQC0bNmSyZMnc+jQIb777rtQhteglJSUsHnzZq677rpQhxL2srKyuO6667j88sv59NNPueuuuygrKwt1WI1Co0uKNV1ySqhahw4d6Nu3L3l5eaEOJWydXa5Mc8Gy5ZdeeingnuIi+Oerr76ie/fu4t+uDx988AErVqzg+eefZ/ny5cyYMYOtW7fy2muvhTq0RqHRJcVVq1bx1FNPkZKSUvHavn07n332GSkpKbz99tuhDrFBiY2NFc93qtGuXTsAzpw5U2n72dXLxbQC/6WnpzN8+PBQhxH2Fi1axKhRo9BoNEiSxPTp0xk5cqTo0QmQRjclQyw5FTgul4t9+/Zxzz33hDqUsNWqVStSUlLIyMhg3LhxFdtzcnIAuOyyy0IVWoNSUlLCDz/8UGn9VME7h8NRqbgGwOWXX862bdtCFFHj0uhaiklJSbRp06bS6/wlp8Qq1N5t3bqV+++/n2+++aZi21tvvcX1119f0RUoeDd9+nQ2btxYabTpp59+yujRo+natWsII2s4NmzYQKdOnWjZsmWoQwl7N9xwA1988QWyLFdsy8zM5IYbbghhVI1Ho2spCrUTExPDiRMnmD59OkOGDKFNmzb079+fIUOGhDq0sDdo0CDmzp3Ls88+S/fu3SkuLiYhIUEM9qoBMerUf3/7299YvHgxDz30EO3bt6esrIw2bdowZcqUUIfWKFwUtU8FQRAEwR+NrvtUEARBEGpLJEVBEARBKCeSoiAIgiCUE0lREARBEMqJpCgIgiAI5URSFARBEIRyIikKgiAIQjmRFAVBEAShnEiKgiAIglBOJEVBEARBKCeSoiAIgiCUE0lREARBEMqJpCgIgiAI5URSFARBEIRyIikKgiAIQjmRFAVBEAShnEiKgiAIglBOJEVBEARBKCeSoiAIgiCUE0lREARBEMqJpCgIgiAI5URSFARBEIRyIikKgiAIQjmRFAVBEAShnEiKgiAIglBOJEVBEARBKCeSoiAIgiCU04U6gGCy2Wzs2bOHpk2botVqQx2OIAhCQMmyzOnTp7n00ksxmUwe+wsKCigpKfH7elFRUcTFxQUyxAanUSfFPXv2MHHixFCHIQiCEFRpaWn069ev0raCggKuG3YtRcX+J8XY2FjWr19/USfGRp0UmzZtCrj/YJKTk0McjSB4UrJ/xbHna5CdlXdIWnSdB6Br2ys0gQkNQnZ2NhMnTqz4rDtfSUkJRcUlvLdgDklNm/i8Vs7pPG6/fxYlJSUiKTZWZ7tMk5OTadmyZYijEQRP6iXJ2LJ3gqOs8g6dAdPlQ5GM5tAEJjQo1T0eSmqSQItkz6TpQVUCGFHD1aiToiCEO0mrwzh4Eo6tq1DLCgAJyRCBof9NIiEKgaEo7pc/x9WAqqosXbqU//znP+Tl5dGtWzeeeuopevToUeU5Bw4cYPny5bRu3ZqioiJOnDjBzJkzw6rRIpKiIISYJqYJpuvuQSktAFVBioxHkqRQhyU0Eioqqh+tQBW1Rtd95513MJvNfPTRR1gsFp588kmmTp3Kpk2bvP795ufnc8cdd7B06VK6d+8OwMqVK5k6dSqfffZZje4dTGJKhiCECU1kHJqoBJEQhcA621L05+Unm81G27ZtmTRpEgkJCXTo0IEpU6aQk5ODxWLxes6OHTuwWCy0bt26Ylvv3r05ePAg+fn5dX6bgSKSoiAIQmOmKv6//GQymRg+fHilbUVFRfTs2ZOEhASv58THxwOwYsWKim379u2jRYsWFfvCgeg+FQRBaMxkl+fo5qqOwz2i9UIxMTHExMRUeWpeXh7r169n/vz5VR7Tt29fhg0bxty5c7FarfTv359PPvmEJUuWhFXviEiKgiAIjZnqZ9doeUvR29zu6dOnM2PGDI/tRUVFLFu2jLS0NAoKCjCbzcyZMwedzntq+ec//8mTTz7JW2+9RWpqKsuXL6djx441ez9BJpKiIAhCI6aqin8DbcqP8Tavu6pWYnR0NJMnT2b48OGkpqaydu1aUlJSmDRpktfji4qKcDqd3HvvvSxfvpwJEybw6quvenTFhpJ4pigIgtCYKaqfA23co0/Pzus+/1VVUpQkCbPZTNeuXZk7dy4pKSlkZGR4PbakpISJEycyduxYHn74YVauXMkll1zCI4884rXLNlREUhQEQWjMgjDQpip9+vRBr9d73bdu3TosFguDBw8GoH379ixYsACHw8GGDRvqfO9AEd2ngiAIjZkiu1/+HFdHOTk5DBw40Os+h8OBLFe+R8eOHYmPj0ejCZ/2WfhEIgiCIAReEFqKRUVFzJ49mx07dlRsy8zMpLCwkLFjxwKwZMkSRo8eXTEHcejQoUiSxDfffFNxzrFjx1AUhSFDhgTmvQaAaCkKgiA0ZopcMd3C53F+cjqdbNu2jbS0NAYOHEi/fv2Ij49n4cKFFXVYLRYLeXl52O12AFq0aMGyZcuYP38+mzdvJi4ujmPHjpGamkrz5s1r9daCQSRFQRCExiwItU8TExNZvXp1tcfMmjWLWbNmVdp26aWX8vbbb/t9n1AQSVEQBKERc0/J8N0K9GfaxsVAJEVBEITGzN/nhSIpAiIpCoIgNG41rGhzsRNJURAEoTETLcUaEUlREAShMathQfCLnUiKgiAIjVkQRp82ZiIpCsJ5VFUNq2VsBKHORPdpjYikKAiAfOwg9rXvoJz4HYwm9P1HYBg+Hkkr/okIDZyq+jnQRg1+LA2A+BcvXPSU3ONY//UsON2VN7BbcW5Zh1KUT8StD4Y0NkGoM9F9WiOi9qlw0XNsWuM5EMHpQN6zBaXYEpqgBCFAVFX2+yWIlmKD47I7OfDfrRz/8QCxLZty6bjBRDWLC3VYAWHb9B3F/1qKnJOLrm0boqfegzGld9Dvq2Qf8f4tWatHPZMD0fFBj0EQgkbxs/tUEd2nIJJig2IvKmP5mGcoPpWPs8yO1qhny4K13Pr+YzTv0zHU4dVJ2RdfUvjqP6G8eLBz3y/kP/IYCXNfxtgnuIlR07w9yqmjngMNZCdSYrL3kwShoVBcfhYEF1MyQHSfNihbFqylMOs0zjJ34pDtTpylNj7/60LUBvyQXFVVihctqUiIFex2ihctDvr9DYPHgN5QeaPegK7XIDTRjaMVLlzE6nGR4cZAJMUGZP/nGcgOz29zJdkWik+eCUFEgaFarSiFhV73uX4/EvT7a5o2J+Ke59G06QIaDUREob/qRow3TQ36vQUh6M52n/p8Ndwv1oEkuk8bEJ1B73W7qqpoq9jXEEgmE5LJhFpa6rFP06xpvcSgbdEB830v1cu9BKFeiXmKNSJaig1IrwlD0UVU7uaTtBqadW9DZNPYEEVVd5JGQ+SE25BMpso7jEaiJ98VmqAEobHwq5Xo57SN86iqSmpqKsOGDaN3796MHz+evXv3Vnn8zz//TJcuXby+Xnnllbq+y4AJ+5ZiXl4e//73v2natCl33nlnqMMJqT53Didr636OfL8HVNBoNRhjzNwwf3qoQ6uzqNsngqpS+sGHqA4HUlQk0fdMJuKaq0MdmiA0bEFaJeOdd97BbDbz0UcfYbFYePLJJ5k6dSqbNm3yWhVq1apV/O1vf6Ndu3aV9j/66KMMGzasRvcOprBOips2beLzzz9n7dq1TJ/e8D/460qr1zH2Xw+Ts/co2ZmHiU5OoO1Vl6LRaUMdWp1JkkT0nf9H1P9NQC2zIkWakTSiI0MQ6kxV/ew+9f+Zos1mo23btgwfPhyAhIQEpkyZwrRp07BYLCQkJFQ6XpZlBg4cyMiRIytt37NnDxEREaSkpPh972AL66Q4ZMgQ2rVrx9q1a0MdSlhJ6tGGpB5tQh1GUEhaLVJ0VKjDEITGQ/ZzSkYNVskwmUwVCfGsoqIievbs6ZEQAbRarUdCBEhPT2f48OFhVW84rJMigEa0FgRBEGqvhmXesrOzPXbFxMQQExNT5al5eXmsX7+e+fPn1yi0L7/8khdffLFG5wRb2CdFfxUVFVFUVFRpm7dfriAIwsXFz+5T3N2nEydO9Ngzffp0ZsyY4bG9qKiIZcuWkZaWRkFBAWazmTlz5qDT+U4te/fupbS0lH79+vkRW/1pNEnx3XffrfG3FEEQhEavhi3FtLQ0kpMrV3KqqpUYHR3N5MmTGT58OKmpqaxdu5aUlBQmTZrk83bp6ekMGzYMrTa8xkQ0mqR4xx13cNNNN1Xalp2d7fVbjxC+FKsVJd+CtmkTJIPB9wmCIFSvhkkxOTmZli1b+nVpSZIwm8107dqVuXPnkpWVRUZGht9J8ZlnnvHrPvWp0SRFX33eQnhTZZmitxZRtvYzJK0GkIi6fRKRk8aH1UN4QWhwVNW/kaUBKBXZp08fTp065fO4vXv3UlhYSP/+/et8z0BrNElRaNiK31mK9fPPweHg7D/NkneXIyXEEfmnUSGNTRAaNFkGlz+jT+u+dFROTg4DBw70eVx6ejrXXnsten34VeISQzuFkFNlmbKVq1FtlQuCqzYbpe+mhSgqQWgkglAQvKioiNmzZ7Njx46KbZmZmRQWFjJ27FgAlixZwujRo8nPz/c4/+xUjHAU9i1Fh8MBgCJWhW60VLsdtfz3fCHFyz8oQRBqoIbPFP3hdDrZtm0baWlpDBw4kH79+hEfH8/ChQsrBs5YLBby8vKwX7D6zb59+zhz5gxXXnlljd5GfQnrpLhlyxY++OADwP3NokOHDlx99dVERYnJ3Y2JFBGBJjEBJfe0xz5dl84hiEgQGpEgPFNMTExk9erV1R4za9YsZs2a5bG9e/fulVqY4Sask+IVV1zBFVdcEeowhCCTJImYB6dT8PxL59ZUlCQwGoi5/77QBicIDd3ZpaP8OU4I76QoXDwihgxGMzea4qXvIh8/gb5TR6Kn3IW+c6dQhyYIDVuQCoI3ViIpCmHD2CcFY5/QFQZWFRk1PxcpIgopMjpkcQhCQIn1FGtEJEVBAJyZP2D/9B1wOkCR0XbqhenPDyJFRIY6NEGoG5eM6vJjuoU/x1wExJQMIWDkohJOv/UBh298kKN/eZqSTdtDHZJf5GMHsX8yH8qKwWkH2YV8aBe2tLmhDk0Q6u7s0lE+X+KZIoiWohAgcnEZh0c/gOt0PqrdCUDZj3tpMn08Te8bF+Loquf49lNwOitvlF3IRw+gWHLRxDcLTWCCEAiq6t8gGpEUAdFSFALE8sE6XHmWioQIoFrt5M37ALmoJISR+aZacgEvHwhaHWqRmCdZHVVRcJWcwXnmKM4zR3CV5KGKOcXh5ew8RX9egmgpCoFR8vU2VJvnBHzJoMO6+xBRV4bPytoX0rbvgZJzzHORVdmFJqlVaIKqAcVahOv3HciFOUgGE7pWl6Ft2i7oNWNVVcVVeBLkc7931VaEy2lFF9dS1KwNF0GYvN+YiZaiEBC6ZonuuYUXUF0yusS4EETkP/1VN4IxAs5f0FpvRD9kDJIpvAfaKNZi7Ds+Q847Ck4raqkF58HNuI5lBv3eqtMKstNzh+xCdZQF/f6Cn85O3vfnJYikKARGwp03IJkuWOpJq8HQKhljl7Yhiclfmph4zA+8hq7vNUhxTdC0aI/xlvsxXPvnUIfmkysrs7yFe94HmuLClZWJ6i1hBZDqtKEqniMWVVVBddmCem+hBmTFPbLU10sWLUUQ3adCgJj7dCP5mfvIfn4xkkaD6pIxtG9J63f+3iC60TSxiZjGTg11GDWmFFbxPFTSoFqLkKISg3fvnBNg1ILRVHmH04FyKgttx+DdW6gBMU+xRkRSFAImftxwYkcPwfbL72jjojG2axHqkBo9yRSFai303KEoSAZzUO+t/PoLUqdOqHo9ksZdBFpVFHdSPLQPOvYO6v0FPyl+jj4VZd4A0X0qBJjGZMSc0jUkCVHOPYX10w+wfrIM1+8H6/3+oaBr3RPKE1IFjRZNQgskQ0RQ762Jb4pj+QKUrN9RZZf7dfwIjuXz0cQ1Ceq9Bf+piuL3SxAtRaGRsG/6Auu/36wYaWf/7woMQ0dhvn1GqEMLKm1sEvrOg3D+ttU96EVV0TZpjb5T8Jfl0fUaiH3lEpzL3gSD0b3RYQdzFLo+g4N+f8FPKn7OUwx6JB5OnTrF/v37admyJZ06hUedY9FSFBo8pajAnRCdDvegE1UBhx3HN1/gOrAn1OEFna5ZO0wD/oyx31hMV4zH0HUIkjb433clgxHzzNfQtO7sXtnd5ULTqgPmh15FuvA5oxA6QVhkGNxTclJTUxk2bBi9e/dm/Pjx7N27169zv/jiC8aNG8fKlSvp2LFj2CREEC1FoRFw7drm2YUI7sSY8TW6LpfWf1D1TJI0IZk+omnanMhH/4laWgyqihQVU+8xCD4E6ZniO++8g9ls5qOPPsJisfDkk08ydepUNm3aVOXgOkVRePbZZ/nhhx9YvHgxHTt2rNE964NIikLDp9FAVQNcNaIzpD6IVUXCmCz7V+xb9r8guM1mo23btgwfPhyAhIQEpkyZwrRp07BYLCQkJHg97/XXX2f16tWsWrUqLBMiiKQoNAK63v29V+PQGzBcOaz+AxKEcHK2ILg/x/nJZDJVJMSzioqK6NmzZ5UJ8bfffmPp0qXccsstYdVdeiGRFIUGTxMZjfm+xyh7ezYguROkJGH8063o2neplxjU0kKc+zajWnLQXNIBXZc/IJ0dfCIIoVTD7tPs7GyPXTExMcTEVN01npeXx/r165k/f36Vx3zyySfIsozT6eSBBx5g165d6HQ6/vKXvzBp0iTf8dUTkRSFRsHQfwiaFq2xr3kf1eHAOHwM+kv71su95dyj2NfMA0V2r67xeyauHV9iGjcLySy6FYXQ8ne6xdljJk6c6LFv+vTpzJjhOZK7qKiIZcuWkZaWRkFBAWazmTlz5qDTeaaWn3/+Ga1Wy+jRoxk4cCAA8+fP54UXXiAuLo7rr7++pm8tKERSDDOOMhvbPtjI3i+2EREbyRV3DKfTkF6hDivsObZ+Q9nbL3O2pejK/BHj9bcScctfgn/vDe+712E8y+VALZNxbP0M49AJQb9/XalOG66CbHDakCJi0MYmVUzGFxqBGrYU09LSSE5OrrSrqlZidHQ0kydPZvjw4aSmprJ27VpSUlK8tvwsFgudOnWqSIgA9913HytWrGDp0qUiKQqeHFY7i8b8nfxjubjKV5w4vGUfQ6bdwNAZN4U4uvCllBZT9vYccFRepcP+34/Q9xkY1C5U1VaCWpDrJSgZ+XAmhHlSVKyFOI/vLX+epEJpPrLlBIY2vZG0+lCHJwRCDddTTE5OpmXLln5dWpIkzGYzXbt2Ze7cuWRlZZGRkeE1KcbGxuJyVV6JRqfT0bVrV7ZvD58FycXQvDDy88pvyT+aU5EQAZxWO1+/tZrS/KIQRhbeXDu3eh9l6nTg+OGr4N5cU/X3SkkX3klFVVWcpw6WD8Io/9BUFXA5cJ3JCmlsQgDJintkqc9X3Sva9OnTB73e+999+/btycvL89geHR1NdHT4PGaotqW4Zs2aWl00KSmJK664olbnXsz2fPEjLrvnygaqrHJsxyG6DaufZ2SOvCJkmwNTi8QGUcwbRam6GkeQS1dJBhOalp1Rsg5UHuGn1aPtEfyqMnXicnhf+gkVpSQPmrWv95CEwFMVFdWPlqI/x/iSk5NTqXv0fNdffz2rV6/m8OHDtG/fvtI5vXqFzyOiapPiY489VquLXnXVVSIp1oK1oNjrdkWWcTnOdTs4ymxYDmcT2SyOqGaBW6vQlp1P5r3zKNzxMZTtQwAAIABJREFUK5JGg6FpLJfNn0b8gG4Bu0cw6Hr9wT3I5UIGI4YBQ4N+f+O1/4dtzZuoJQXuDaqCpmUX9CnXBf3e4G7xOXbuxr5rD9rEeCKuGYIm0o9i4BoNVX2bkCTxTLHRqGH3qT+KiopYsGABI0aMoE+fPgBkZmZSWFjI2LFjAViyZAmfffYZ7777LgkJCVx55ZX07duXZcuW8fzzzwNw7Ngx9u3bx4cffljz9xUk1SbFG2+8kRdffLHK5rA3ZWVlLFq0qM6BXYx0RoP3HZKEVuf+kNq66DN+eHM1Gq0W2emi3eDLuP7NaRgi61ZWS1UUtt/0PGVHc0FWUAFb1ml2jH+Zgd+9RkTL8C3wrImJQz94BM4Nn1Xe3qJNvVSzkcwxmMY/hXLqN9SiM2iatkKT2Dzo9wVQXS7yHn4SR+ZuVIcDyWCg4I2FNF3wGoaunauPW6tHMkWjWi/ompc0aOIuCWLUQr0qrwfs13F+cjqdbNu2jbS0NAYOHEi/fv2Ij49n4cKFaLXuzyqLxUJeXh52u3sQmiRJvP3228yZM4dZs2aRlJTE8ePH+de//kWXLvUzdcof1SbF7t271yghApjNZpo0Cd8P0HDWuk9Hju/6DfWCvn2dQUdimyQO/Hcbm99cg8t67pnj79/u5otHl3DjwgfqdG/L1gPYcwo8nivIThfHl39Fp8dvq9P1g0kpLcb57Zee248fwfXbfnQdugY9BkmS0DbvCM3rt0pHyarPcOzKRLW5P3hUq3tx3zOPPUvy6jSf3d/6S7rgyNrt7kotp4lMQCuSYuMRhDJviYmJrF69utpjZs2axaxZsypti4mJ4R//+Iff9wmFapPiH/7wh1pdtLbnXewG3DGCbR9sxFl2bni/1qCjxWXtSOrSivSZi3Fa7ZXOke1Ofv3fDmyFpZhia1/70n7iDIrT5bnDKVN62HMyrzeqS6b4qwyKN25FlxhH3J9H1GgJKdXlwv7DFlwnTqLv2B5Dv75IfpRpc/2cgeyUubDDT7XbsX//Vb0kxVAp+/yLioR4PsVSgOtoFvq2ras9X9IZMbTti2otQnXZkUxRaIK8DqNQz8R6ijVSbVLs1q12z5Jqe97FLqFVM+56/wnWPPYOp387iaTR0H1EP8b8YzIApae9LCYLaLTaOidFc8dLUB1ekiJgbBLr83zV4eTIpCew/XIYtcwGOi35731G81ceJvZPV/k8Xz59mrz7pqMWF6Pa3d2A2pYtSJz/BprI6t9XSfYZJFX2Wv+08Lcs6r9Mds2pDity9q+gKGiTOyCZovw8sbp9/n3ISZKEZPb9O67yNrILxVEKgMYQWS8rdAj+U1UV1Y+/BX+OuRiIv94w07pPJx5Y/wr2EitavQ6d8Vz3desruvPL2i0e3atao56Y5ol1um/x3qNV7ivZf8zn+QWrN2Lb9xvq2ZasS0Z1yZx67A2ir/0DGlP1Jc8KZs9FOZ1X8VxDtVpxHTlK8ZJUYh+qvmv49PFCmlWxrzCnmPp5ugeuEiuO0wWYmjdBY/T/sYPrxH6c29dyNqs7dyroLhuGvoPv0cbm60dQtCAL1V65taiJi0Hno5UYCLK1CKX0TMV/K6X57u7XiNonWSHAZBVcfjwvlEVSBDFPMWwZoyIqJUSAQQ/fjCHShEZ3rqNQF2Hg2mcnVdpWG6UHT1S5z3Yq3+f5hWu/OZcQz6NKEtadB6o9V3U4cPy0w/NBv9OJdb3veYZmney150eSwGgK/pQSxeFk/8Nvs7n73fx07d/4odtdZC36zPeJgGovcydE2eWeHiE7QZFx7d6AUnzG5/lRY2/AcGk3pIgIkEAymZAizSTOfjbo02lU2VWeENVKL6U0H9XrVA8hFM5OyfDnJQSopSjLMhaLhfj4+IqRR0LgxbVuxp1fvMTWhWs5tnU/sS2a0H/aaFoHYMpETEqHKvdFdfGjukUVE39Vqx3JVMWo2oqDqtvn+xtus6sHUvT9SrQXXMgpSyRcGfypQb8+8y65K79DsTuhfJ7p73NWYEhOIOmm6ucqyqcOen//iox8fB+abtV3PUt6PU0WvIZ9+884du1Gk5iIedjVaKL97H6tA3eXqbfgVRR7KVpz4KYLCXUgninWSJ2Sos1m48MPPyQxMZGEhATOnDmDw+HghhtuwGDw8UEo1EpsyyYMf+mugF+32R/7oYkwoFgrl0pDq6H9g75LzKm6KjodFAWNufrpIpLRgCY2FiXfs0Wq86PclKFHL3TNW6FkH0NT3jhSVdCaI4i9Prjl8WSbg+wPvkaxOTDEaDDEarGediFb7Rz950qfSVF1OlBlFxc26lRVRbFb/YpBkiRMl/fBdHmf2r6NWqr220y9RVEXquxCKT4NgCamWeOs+aoC/sy2aBi/sqCrU1L88MMPue222zCZzn3o2e12PvzwQ26//fY6ByfUH63JQJ//PM6OiXNQXa6K3rCOj/2Z2D6+pxm4cqvuYnVln4HObavcr7pcKEXey9i5ck/7vDeqikZSUM9LLJLkfqmKXOX6w4EgF1vR6FQ63BZLbDsjiqyi0UnkbCvj1HaLz/OVEivuH/aFUaoo+d4HVoULjSESpdSC56ephMYQ/sObZMsJnAc3c/43En2XQWhjk6s5q+Gpz4o24aCuPZe1ToobN25k5MiRlRIigNFoZOTIkXz99dcMHRr8aiJC4CRc0Y2hexaTt3EnrlIbTYb2wuhvxZxq6ib6+semOp1Vj5S0+m4tuX7ZiZrvJXm6nDi+W49p5C0+r1Fb+sRo2vwphph2GjR6CY3e/QHbrF8E2qbxPs+3HTyCXqOCtnJSlCQJ+5FTRAQl6spUlwvnzxkoebnoOnZD27GrX88jJa0ejTkOpayAc4lRQmOOQ9KFd0+R6rDiPPiDRyUk5/5v0fQdE/bx18hF0n0aqJ7LWifFwsJCkpKSAPjggw84evQojz/+OABNmzalsDC8v+UKnlylNg488x6nPvkexe4iYVAPur38FyI7+B6/qWsSj/PISc8deh0aH88UNRER6Fq1xHXkghGwkoShT2+f91ZOZoHDc5APLifyob0QxKSI7CKhiwHpgv4prUFD056+x7GpRKHKKhdWVVPsMrLDvypFzmNZFC54B/uOXWji44m9axIRI671K7HJOacofno6qtXqHuyj0aDrehlRs15C8qNwh9Yc724x2ksA0BijGkRCkfOOVvFFTEI+k4Uuqepn7A2Ogn/dp8EtExx0geq5rPXo0/P/wWVmZvLjjz/W9lLCBRRFIf9YDiV5Nf9icWzjLlaOfIp/d7uH1aOf4cQPe/0+d8dtszm54jv3c0VFIf+7PWwd+TSOM75X6Ii7ZRh4SX6SXkdEiu/J87GPzkQymeBsd4deh2Q2E3P/VJ/nKtayqvfZbD7PrxOnHUnr/Z+RpDq8bj9f1LXXYP2tCMVxrsWiOGScp62Yh/quneo6cZKciZOxffM9alEx8tFj5D/3MoWLl/oVfukbz6HaytD1vgz9sGvQduyA68AebP/9yK/zASSdAW1kAtrIhAaREAFUl8P7IC5VAdn3760hUWUV1eXHqwFPyfCn59JftU6KBoOBkhL3t8OXX36ZVatWVewrKSmpcXk4we3gN7uY3Xcq/7zmEeb0v5/FtzxLSRWT9i90eN2PrL/nDfJ2H8FRXEbuz7+x7vZXydq02+e5RbsOU7j7d1THeUPpVRXZauf4B77/oOLGXIOjRRJnP05cgEuSiH36XjRV1XQ9j6HXZTRZugTTNVejbd+OiD+Noun7/0bXupXPc6XoGDxGqpTTxPnuwqyTiCikCC/L3kgSmhadfJ6uaxKPrtsILOlZ2E+V4cgpo+Drk7iMvYjo0s7n+Za588BxwfQHRaFk2QcoZdV3PSsF+Si2UiIemYl+xAj0gwZhuHkspil34/j2fz7v3ZBp4y4Bb4NqJAlNbCMrcefvdIwG3H16Yc/l7NmzK/bVtOey1klx2LBhrFixwuu+1atXM3LkyNpe+qKV++sJ3rt7LmWWYhSXjCIrHNt+kLfH/t2vahObn1mObKv8AanYnWz++3s+zy0+eBzV27JVDheF2w/6PP9g5q/MPnSKj2UN2xSJ72WJt5waXnrrE5/ngrskW9GCRdg2fYeSk4t13RcU//s9VNnL6hcX0HfvDd6qqBhMGPoGd/kmSZIwXH0b6PTnErNGC3ojhgE3+nWNuLHDaPL445QcjKZodwRxU2bQ5N5b/TrX/vMu7ztUFftuH70Esozx5pvAYEAqf+YiGY1IiYloe/bw6/4NlRTdBCkywWO7JiYZTWQjm0qi1ODVQAWy57LWzxQNBgNjxoxhyZIlXHbZZbRq1YqsrCx2797NTTfdhMaPmpVCZV+8+L5HtRoAS9Zpjv10iDb9ql71QJEVSquYZF9w+JTPe0tQ5TdFxe69/Nv53n0hFUWBg2g4eP5ljuXw2+5f6XBZ9SNYC/85D/uPP4HDgepwtzetX/4PXcsWRE2ovhi5NqkFhmtH4/hmHdjLu0sNJrQduqBLGeAzdgD5+K/Y16aiHP8VTBHorxiJ4Zo/I/kxek3bpgemsQ/j/PkrlIJctMnt0aUMQxPtXyu14NOvOfX4vPLhsiol3/xI04f+jyZTbvZ5riRJVY6k91k31qBHio/3OE7S69H26O5X7A2W04Za4lkcQSnMRnU5Gkw3sD9U1a/pvjVZOSrsnO25jIqK4uWXX660r6Y9l3XKXImJidxzzz20b9+e06dP065dO+655x6aNm1al8tetE7uOVLlvl+/r74LVJKqnmbk1x+7JFExye8C/pQsO/HbCSJRGaGReUDrYrLGRQ/JvaL73i17qj1Xdbmwfvk/cFzwLMdup2SFfy3NiP+7n8jpT6FLGYCuewoRd8wg6rG5fs07U06fxPrO31Gyyleht5bi/G4t9lX+L4GmRDThTG5rTv3aisLi1mDybyVxV56FU4/PQ7U7UG129//bnZx+433sh3yX1zNcXkUpOI0G42XVt/aU0uIqu51rsgq7qigo9hIUewmqt3Utw5B85hhei+VKEnJ+Vr3HE1Rh3lIsKSkhJyenTtcIZM9lQCraJCUlVfTnCrVnToyucnBNYpvqf76qqqKiInn5h6748dce0bE5TkVBf8H5TlTU9lVVFj2nWVwUN5cWYgZ0EiRKkKQqJCkSrTpV/1xQdTrB6b0smOrnswBJktD3GYi+j/dVv6vj2LTa8/5OB67M71H+OAlNdPXdaaWHTvDz6KdQ7E6UMjuaSBOmFk3o898X0cVUP1+v+KutoJHQJZqI7JmIpJUo3ZOP87Sdwv9+S7O/Tqr2fEO3zji2bsPYvxP6Ls1RCkqxfb8fucQJPp7lSuYYlH3ZaJo3r9RaVB0OXDt3wYDR1Z4PINtKUEoqT4fRRDVB6+eXglBRnf/P3nnHWVGdffx7ZuaWvXf7LlvYpfcuiFRFIgYLgqIhilhiLFGMmtcaY3mj8VVjjTWJjVgQIxoUEQ0W7BQVpRfpu+wuy/Z6y8yc94+77e69d+YuaFwMv3zuJzIzZ86ZnfKc5znP8/v5QUYx4NIMk9H6KUCacXqKHTSKUkqee+45FixYQFlZGYMGDeLWW29lyBDrydj111/PW2+10iCmpKTw0Ucfdazzdvg+I5dHCME7EY6/4nQW/u6JiO2KpjLkFGs5LlPK6DXgxOcpbquqYJ9qkGeoLYbRQBJA8nljBXZcKb8c2hPnvn1obfp3CpigSgYN623Z1jL1P4b3+n3CLN4V/YugOpDlJWBjFLf89jH0qvqWP7RZ76Nxdwm77l9Ivz/9yrKtNE0Sj+lC+kn5CCXEOJDys3xqPitG6vZel2/FClKunY5IdKM4NaRh4jqqF3Wvr7KXjvI1EHjtX7guvggcjlDmr2liFhZifPONbd/S1JsMYvgDZtaVoTgSOrVahpqSg1G0Oep9V5J/WhN8aRBGbGF1XEfw9NNP4/F4ePXVV6msrOSWW27hiiuu4OOPP45ZDlRYWEh1dXVYIkyPHj3weA5drqw5crl//36Kioro1asX48d3nOax8z61/4VIPao73wXK6e1IQ2ljmL7LCOKwq/UTSsxImCrsZ0lVFdW8627g3HovWlNU3USyVNSQU1Nr2z6zsorGKP07PG4CW3fjzIy9viaDQVCU6MrfcYz9UKHk9sQs2RPZvxFEZFh/IIPV9dRt3B0x85ABndJFn9kaxcQJQ3Cpa1AcrdcpVJXkY3NR+tqv67mG5qIkuREOramtAqqC9/RjbEOZSkYWBAL47n8AdcAAREoKZmEhZuE+nJPsy0FMf32MPRIzUIea0HkTVqTDFbMkQzjiqw89XPBDeIo+n4+ePXsydepUANLT07n00kuZO3culZWVpKdHJjEBzJs3j6uvvpphw4bF31kHcaiRS8svzrfffhv3idatW3fQgziCEJ58Yh4u1LAQqAD27NzDxo3WShOtRx8cRhwzlF82ePGiIJr+50DhdJnCxJH2mYjOrllRvTohJVqX6C9IM5SEBNT86GLEzpH2xfuHCuekM0Bt561qDrShE2yTZazq4+MRSFbMckQUhRPhUFHddbbtnUN7tBjEsPaqgpqVbNlWqCoJF/8OVA1j02b0FSswi4oRHi/uX/7Ktu/QRCBGGKKTZ22YMdcNBUZF4X90LD80mo1iPL944Xa7WwxiM2pqahg+fHhMg1hRUcFrr73G7NmzOffcc3nhhRcItM8j6ASwfGtfeuklGuOg2aqvr2fevHnf26D+W1Hy2Ra6OVJQhAgJvwqBKhSmevqwbdN3lm2FIvAR3TNoEPbZo8695aRoTtR2hlUVgp4l9s9A+kWnh7y99uft0RV3/x627Y20jIjvqARkTnw8lEFfgI/uWcBjI6/gkaGX8fb//I260qq42or0bERmbriFMwzUo461basle0ke1S9iQiBcDrLPPj6OzkV0oyhEXF6ykhZdR1O4HAjNWsMSwDV+Mkl/fBjH2ONQe/bFddLpJD/4HGqWfa2e4owd8rLa1xkQW9pK/vRkr6SI/3eQKCsrY9myZTz++OMxj6mrq+PKK6/klFNOYdu2bfzf//0fZ599dqdjP7MMny5ZsoS333477pM9/PDDhzyg/2Z0q3OCiJw5CcBZFJu1BUIsOB/69zHVmYejDWdYUBq8FyziWpu+/cWVOJ0OjGC4YVUl+AvK7AcvY5QHxKP4resYa9e2p/9EAHVLl5F5/e+s20vJaxfcR9G3OzCaai03L17B3hWbuPjD+3DaqHQEv3wfuX9v+Filif+Vh9Fu/YdtWUb+5dOpXrUlfKNhkjtnimU7ADW3H4E170aqZJgSrZt9+NTRbQiBrZ+BGT7xEUkZKG57+SgpJfrWjehb1iNrq8E0MY45FiUjjgxyRcPYsAZl4PBWJiLDwNy6Ae04+4nQj4loCWkt+35gHcr/NDpaklFSUhKxLzk5meTkyMhDTU0N//jHP5g/fz5VVVV4PB7+/Oc/o2mRpqV79+5cdtllQMiRuu+++3jllVe44447eOihhzp2UVFQW1vLU089xYgRIxg3bhyJiQcnn2Y7FXU4HOTm5lr+kpI6d6bZ4QKPM8bMXgjcWH+YVVVlvaih0GgIZaI2/XYZdXynWhtUgORRfdD9kQZZVwVpx9p/nMv/8UbUxJDAnmJ8W3dbtg3WNiBiGE/ht6dpK1m7k5J1u1oMIoCpG/iq69n85grb9sEV70Rfz/Q3Yhbtsm2/6+6XI7ZJKdn7yL+iHB0OvdJH2evbMYMGZsAI/X/QoPL9AvwF9vR6SmYP1LxBINQQgYGiITypuAbHR8bve3Ueja88i6yuDBnEvTupu+f36Nvs6QH1rd+CNzG0DtcU2QCJSEpC3/hVXP3/aLDywn9qRtEUcf8A5syZw5QpU8J+zz//fNRzJyUlcckll/D8888zY8YMlixZwiuvvGI7Jq/Xyx133MGMGTN49913CcbIPu8IkpKS+PWvf82CBQsOKsGmGZae4nPPPccLL7xAMBjkggsu4PjjY4eD2mYTHcHBoc/4IaxfsjJiuwCGnBTKPm1s9LHwlTdZ9f4K8vt154JLZ5OXl4thGIwngzzVEzbT7akmcpRhvbYEoKd6WC8bGYgDZ9NcSUdSaxrsTnNikcMIQGBHYVSvUAaC6GWVMKBnzLaKJ4EKXSPTEe7tmBIKdTd2Pkfp5r3IKGtbwQY/xd/uYMRsawMh62KEWaXErC5H7RabeCBYUUvj7ig1VoZJ+b+/tuwXoHb5auq+3E/jpnI8wzIQiqBhYwV6pR+t9yckDLEmphZCoCRmYKiOEGenlCGmljhCpzLgx/fWq62EB80I+Gn85zySbnvAsr2xfw9KvwEIR2sSmNAckJ2HsXUTDsbajuHHgpqai1G8NcLDRlFRfmLSUZhxRkab5oXz588np92yRTQvEULPn8fjYeDAgdx///0UFBSwcuVKzjvPupSoGWeffTaLFy+msrKSrCz70i87pKWl8cADDxySQpOlUZwwYQITJkxgz549vPDCCzz22GPMmjWLM844A5cr/KU744wzDnoQRxDCKbeex6Z/f4URDH9Ru43sS87AblRWVnPJuHMZ0ZhELgL5aSl/ePp9fvPy7Yw7bgzjnFk423mUTqEywWGfibX60695x+tjd62PMdKDE8EmfHwi6vnZe58zabr1+ligqja6KqBpIrzW60uay8Gm7kcxbt/XqEKiCtAl6FJQedxUy7YAqd2zoia1aG4nGX3tFT6E24tsjJ5JKZJSrNu6Qq9QQpZG7gQP7gyN2r0BSlY2oCTYs6IEi8rAlBi1QWq/CA9bBQrsC5qN6v0Et34aJoFklu8hsNWw9RbNyhADksjNQZs4ESU9A3PXToJfrMAosPeQcWgQLbrhdEEnFxkXSZkoqbmYVcWthlHRUDK6o3h/YL7c/zBMQ2DGkYRnGqFjcnJyyI9D3DsaRo0aRXGxPYNWM1JSUtA0jdTU7y9TOS0tjaFDhx50+7hKMnr06MFtt91GXV0dr776KrNnz2bSpEnMmTOnhb1m0KBBBz2IIwghJSedK9++m0U3PkXh2h2oTo1Rs47n1FtDs65HfvdnRjYm42yzZthfTeEfv76XsVtfjzCIzfAI+9vscruQQvCV0sBXtCbWCEWQYLMmB+DfX0GsasPyz9fiPWqAZfuTHv098866icGB/aQLPyWGm92Zfbj0fy+z7bv7+EEk5aRRtacUszmEK0B1agz9xXG27bWjTyD4wauRCy8OJ2pX6xpLzZtA3un9ye5XhlBBUQSebI0uIxOodtjzrgqLUhurfc3QC9ZHaAJiGpjlBchAI8IZW5FRSU1H6dcX11lngqoiVBWlay7aMccQfO8T+7GnxM4qFqnWGcc/NoQQOPpPxKwoxDgQmgCoWb1R0qJnQR/OkLI1NGp33KFi//79TJgQP4HG2rVrOe644zqkdxgP0tIOfmLToTrFxMREfv3rX/OrX/2K9957jxtuuIHc3FwuvPBCBg60lwc6Antk98/n8jfujLqv5qOt5Ijwj5xDqPQMetizfQ91TklSIPLBro2j7Grs8aOjko5rmsa0s+0pkgIQ0yhW+fy24dfU3Ayu/vhvbPhgDWW7S+g7qAfTjhsWFxOFUBRmv3or7970DLs+WoeUkpxhvTjl/ktJSLNf73ZOnIb+zUfI6nLQg4AAhwPn6ZeFhQajQUpJ19EGNLT+3RVNIBRBl772WbuuXnngdpJ8dAZJY7NBFdR9fYCaL0pIGGRtkAFkY4waUkVFBhosjSJOJ66zzkI4W++ccDiQioLz9Bm2fStdcqOGrQGUzM5fAC+EQM3ohpphr8RyOEPK+CpkOlJFU1NTwxNPPMFJJ53EqFEhao9169ZRXV3NmWeeCcBTTz3FW2+9xfPPP096ejq33noriYmJXH755aSmplJYWMhrr73GAw9Yh+mbUVxcTG5ufAomh8K9fVDF+4qikJWVhdfr5Y033uCNN97g5JNPPpJ9+gPDa6pRU6NMJFXFFSyu3cksZy8chJIeTCnRkbxZs5sbbM6tOTRcbieN9eEfctM0SU61NyyV/Xvi2fhdZPgUyJ5m760BKKrCwEwVwy/QMhwdygL0ZqZw1rPXofuDSNPEkWC/ptYM4fbgueoBgl9+gL7lK5TkdBzjT7VcS2yBrw6iGCahgLnPXl0k6cSxZF8wAHd3L4or5OmnTsnHOyIT7wz7kg4lOQujsYaIekFpIhJs1pJ1f5M6RnhboarY5HWFYARBifEJiZa4dAQ/CqQpkHGET+PxJpsRDAZZvXo18+fPZ8KECYwePZq0tDSefPJJ1KZM5MrKSsrKyvD7QwLgXq+XRYsWsXTpUk4++WTS09N58sknY9Y1tsdbb73Vkr1qh/r6WMQS9uiwUXz//fd59tln+fbbb5FS0rNnTy666CJmzpx50IM4glYYusHGd1azadlXeFK8jJ59Al2H9ASgigCJMtJYKAiS89JpcIYMZFsGVB0T3WN/m9d88S2BKNJRQgjefGkJv73tcsv2A06ZSN3GyFpKCWT1sV+fMCqrKL/yGozSUqRhIhSBY2B/Mh68LyQ+HCe0OMjLo0G4EnAeexrOY0/rWEMtBjMKxJfFWF+Gp39aGMeW4lRx5iWjBEoB6zCQ1n04RtnukIFqOYGG1m0ooj0hQTtIoSKbMkcjEEdRtVlViYhB/m9WV4H9cu4R/AfwQxjFjIwMFi1aZHnMTTfdxE033dTy75tvvpmbb7457j7a429/+xubNm0iIcEi+kGrwT5YxGUUA4EAixYtYt68eezZswcpJSNHjuTiiy9mypQpP7m6nh8LRlDnuTl3U7RhF4GGkKL7mtc+4dTbz2fMuVPISE1F1EQvxM/Lzea87GG49te33A9FCBKkypyuw237Lj9QETV+ogd1SorsEz7Mj7+K+tqpmkrDt1vwHmO98F11z30E9xagtHl9/es3UvPMPFJ+e4Vt/z8eQqUv0V4BM2BPmmBW7CMaK4wEKdi7AAAgAElEQVSQBkZZAWpX67VYJSEJ59ATCWz7DBrrQFFR8wahdR9hP/L6mtA9jzJ4GfTbtldkbNkqJXh4qGX8N+CHCJ/+GGhoaODdd9+N69hDsUmWRrG6upr58+czf/58KioqEEJw4okncvHFF3PUUeH0Wzt37qR3b/s1kCOIjXVvrWgxiADSMAkaAd6+8wWGTx9PhtNDI5G1aw6Xg8ayGhIONER84IQQuOKodxs+eih6lDrDBI+bcZOtycgBgsUHou/QDYxK6/5lIIBvxUqUdp9YxTSpXfRWpzaKZn0D0pAILfIlNBvtDYvU3Ji+YEvotKVtwECR9l6vDDQQ2LS8SdlBgqlj7NuEcCfiyLU2qNLnC4U5o6y/yHr72lal1wCMmlJoX6htGii9jyTedRZIU2BK+zW27yPR5ofEqFGjuOyyy2zJw2tra3nmmWcOuh9Lozh58mR8Ph9ut5tzzjmHX//613TrFn1ReuHChWGu8hF0HOvfXtViENtC1TR2f7mVnCE92PVxpK6iqqp4s9Ni01DGoY3XtXsuM86aSmDBZwzTQ3Rvu5Qg67IT+fnpJ9i2V5yxP+CK23p9zwjqCFNGp2712SerNJ9jzT+Wsfbl5ej+IANPG8u4K2fgTrGWbmqGlBKzcDvGzo0IbzLa0HEItz1Vme6HQJ2JOzXcqEkpqdmlY1chWre6EEfAQDqUkEpGM0xJ9QfbyRphva4YLNgQMohtQ7imgb7zS7TsPohYa36A2iWXwNqPULrlh7H2yEAAuT9SgDcaRBTmEqFqh6jUegTfJ2ScdYqd3VM8//zzmTx5clzHRksajBeWRrGZ9zQ/P5/t27dzyy23hHUqhEBKSUVFBTt37jxiFA8RrsToa2eGbuBMcHHstb+gYNVWdF/reo8jwcXoS0/BYaOdFw9GfFlMQHe1SEf1MR30KjBRGoNgZ9j6dUfuLIywa4YQOLtbZ4wFLcKM8c5d35z7KLs/3YDeGPrbfD3v32x/bw2/euf/0GxKG6Rp4Jv/AMa2b0DXQVXxv/UsCZf8EbVbP8u2zi4pVDeCTJERIRuZYF3jCFD/xXpEXRFpp/QIe5Hr1hygYY89J6RZsS/GmqZANlQjEqNzo0Ioazf4wXKcp50CGa3H6Rs3ogTtvVThcCN1PcIwhrb9tJQmDmeYMs46xU7uKXZEKPjEE0886H4sjeKpp57Kn/70J7ze2LNtKSVlZWXcfvvtBz2IIwghrUd2VKFg3Rcgb3hvXF43v3j+Bpb/aT4HthSQkJbImCtOY/SvT0aahzbNK129Gf+WQpxt+lYQGP4gq+55iWPvs060+UIXjJQhDcVmBCUUIEjXTayqv5xSj2n94lkaKN20J8wgAhgBndqSCrYuXc2QM62JvYNff4Sx6UtaXG1DB0Oncd5deG+dZ612oQfx5ranUQ+FrdPjSF51dkvHm98twqAmjs7CiEc2y+mGxijG0zRsJZDMqgow9VCyTJv+1X79CDw/H86zvufm/iLMgm0oPfogmor4ZcCPWbgb0w9Kj/724z+CHxxSxplo04mN4lVXXUVKSgozZsxgzBj75ZxDgeVbd8YZZ1gaRAi9/F26dOGcc875Xgf234gv//1FVKLigKmz4cMQl2TXkX0ZffHJDPvlJI6+6CQGTR8fovpSFYJR1rUAgm77/Pr1iz+LWnPmQFCw3F5CbOPe/bxkqJRJMGSIkWajFCwwBGXF1oTiIgaFVGin/YtavHZn1O3BBj8F7Ym6oyDwwT+JGnturMPYt8OyrQz6YoatCdqHfpMn943aXqiC1JOs1wQBhBXpt51ShWHguvCCkFJH25/Xi+Nkez1FY/PXBF95Gv3d1zGLCzBLCtGXLSI4/0mMTZ2c+5TQhN44sBv/+mX4N7yHUR5LTurwRnPxvu2vExvFxx57jEsuuYQVK1Zw/vnn8+CDD7J9+/YfpC9LT7EjXHRteVG3bNlypJj/IFBctJ9oATdVKGzasp2hx4/ixTP+SG1xOcEGP6rLwYonFnP2/N+TM6I3/24s4CStK442HkZQmrzj28dv7TrPSWkRNm4LHUlDmnUKNIC/0U8JgscMFRegA0bT+dQo0khhCARjzmPjeU2TctNbvDkhQoEiUyqoLgcp3eN4hqsrom6WgLlnK1iEUEMZptEI7kAa9t67lpaMEU2FQwi0nEzb9rIu+thD4dMqhAVlmYEBjsgSHyEESq+etn0LtweRlYs67meIJgkrdexkzKLCuNZjf2wENryHrGtdOw3Wfoaekotr8OQfb1A/AKSMPW8LOw4ORZL1B0fPnj255pprAFizZg0vvfQSe/bsYdKkSZx22mkt7GqHCkujuHr16oMybgfb7r8dDo8LWeOLWoeY2SObFU8sprqgFKNpDc7wBzH8QZZc8yQXL7+fdWYliUGViY5sNARBTD4OlrDVEYP1pA1G//JEVvzp9YjtKjBwuj1dWW1lqA83kC8kjVKwr8lYVJTYSE9ZGc04mCl6HjeMjAyNnw0uIdEZWl8L6IKPdmczbNYk2/YmMnrIREIgaGC1Imn4QeogoizB+SoM7MRrRGr3pjXB8BFIU4InjkK/WCFWASjWkxHZaCFiHIeHro6YiLNHd0hoQ0KfmY3z/LmoSfExj/xYMMr2hhnEZsjqYozq/agpIUYeKWXI41ccIbLzwxFx1imCOGwSpEaNGsWoUaMIBoN8/PHH3H333fh8Pk466SSmTp1qm6FqBUujuGOHdegoGqqrq9m9e/fBjicCS5cuZcWKFXTv3p3169cza9YsjjsuPoaUww15qRlU7i+K3CGge2omny75d4tBbIu6kkrqSyqZMXoc/dfVojYx2mhScLwjl97H2qvX+7/ZhakpKHr4nFICaYX2CR96IMh4YTBFkRihIVMPvGioVJfZtNft6/msIZnRexcyaLZ8y52aZGq/EhJoBKzJhkV0Rw8AX+F+S8PmzEqjtkaSkB5eGyWlJKDbMwHVfrQGZ3shSULh0+p3V9BlrvW6nNqlD8HKUoSjTfaoaSKEC+G27l+mpEF9/OTN7WEG6sGdEHbdQgik242pN6ASO8nnx4a+P7Zot1G8DTUlG6OqhOCOVRAMqYgoqbk4+o5DaJ2b7Lw9DFPBiMPaxXNMZ4PD4eDEE0/kxBNPpLa2lnfffZdrrrmG1NRUpk+fzrHHHtthyjdLo/jPf/6TV199tcMDPfZYe8XyeLBw4UIef/xx3nnnHTweDyUlJUybNo2///3vjB49+nvpozMhUFHfktXbHr6qelRH9Ntlmiaq08HQknC1dkUoOIEBhfYlGfXl1ei6gdbuxVAQ7NmwHTtFxX4ulRMCEodo5UB1SDhPNSDDhgHfigw4jgc6sGwR6MEw56b5vxvmP0nS//zJ9hyx4Eqw4bcwdBIyVNqXsQshSOkVR51hyVqIQROqGXts2zcuX4vp34+zX07LRcuATs0L7+KeeLalxyeCgbjCarEgK0sgqrqBQFbuh8zDk1NUCoHZWENw6yfh6iNVxQQ2f4xrmP16a2dCh8KnhzGSkpKYNWsWs2bNori4mMWLF/PMM88wYMAAZsyYwbBhw+I6j+Ubf7AaidnZh04GXFdXx3333cfs2bNbXOGcnBwmTZrEXXfdxRtvvHHIfXQ21FXXRmdikLBtzRaq8xMI7jRwtFHJMKVJpTBISE9CHqiNmqjj32MTvgQWr/mWvtHaYvLezu3YJUNPStBoH6VVBKRIyO9q4zEEApgydHx76EF7L9LYFZtj1Cy0Nyy6LtC06Kw0/tQ+WPpbuj/CIDZDBO35F5UYy7VCCBSPfcjL9+UKEs8aCaKNp+py4B7bC333Hhy9e8VsK+vsSR0sYcVv2sm5T0ViBrKmNOo+JSkTo2hL5DVIE9lQidlQjeKxL7fpLDARcZVbmD8hZrLc3Fx+85vf8Jvf/IZNmza1GMhHHnnEtq2lUfwx+Uw//fRTampqGDEinK5qxIgRLF26lG3bttG//08r5btBMfHE8BT9XoUF677gqKCLXo6UpmQSiU8aLKzcxpXFJQSkiUtEriP5pL1h2VlUzE5Rw89lMiqgIvBjsosA6wI+2/buiuqoRkUFStZsIn1c7FlawBTUGwpJWuSHtMSvYedvaAOHEfz8/aj7lJ7WdYYAQenEISJJE6QEzWn9oYhvrSY29AYXjuRInlEpJcFYOTRtkPDzgeEGkdB/O4f3wBTWc3/Vm4zeGN0wxAMlNQtTBiO9USkRKd9P0sMPBSsaMCFNDF8t0dOCFaS/Hg4joxiieYujJOM/MJYfA4MHD2bwYLtYVysOSiXjP4EtW0Kp9F27hicb5OWFKt7Wr18fZhRramqoqQmf+ZaUhERbi4uLwwqjc3Nz0TSNoqIiDKM1POJyucjKysLn83HgQDhtWXp6Ol6vl4qKiggG9maWn4KC8JRur9dLeno69fX1VFSEf+G6dOmC2+2mtLS0hUXe7JdM/dpSEoUbU0rqafpQS0mv4wbhf9nPRn8tWWoCCIlEsiFQRj1+AoEAX+plDNSS0Np8qE1gTbDS9pp6D+7Oix99wTZZz1DTTSZuNil+NlFHVlpWy7XFuqbiYAMJwoFTKFTIIIGmgnIJ7P92E4MBXdcjBEiTk5MxG4IsqXIzMbma5qoSKSFd1VhenUiezX0KdulOY2OIEDvVoeLVFCoDOg2GxNW1N1VNY491nxqc6bjNYhoNg8o2pOimAT36hTyttvcJQixCXbt2xZCSgsr6MLuQ7HaQ7HZS5TMpb9dX+2evrKAUryOI26nRJdmLP6hzoKYBKSV1xX4aCwosn72MlNCaXuGByrDtCU4HmdRbPntlPp26ktIWA6GqKrldMtANg+LSMlye1rEnJyeTkpJCdXV1y3tmGCZmVQk52V1wOBwU7y9t8eyVlDw8paU/6vvU9j61f/aMigY8jQGSE5zU1DdS06wOo6hoifVkJ2YgassoLqvAaMMI5XI6yT8qtVNeU0zEyX16OOPzzz9H13UmTZp0yFzcndYoVlaGXvL2dZLNodTy8vDMseeff57HH3886rlmzpwZZhRXrlxJt27dmDlzJoWFhS3bx48fz2uvvcaaNWuYNWtW2Dkeeughzj77bO68804WLlwYtm/fvn0AjBs3Lmz7rFmz+Mtf/sKSJUu49tprw/YtXLiQCRMmMHfuXFasWNGy3YuLWco46vHzur6qZfvrc85hdL+RjKlP4mtzL6vM3aEdjlDCmMOhsiNXYUXpGhpF64c9TXrI7T8svmsSUCxgnQLdZMjDKhK7KSre3XJtVtd0v6MPR6lJ/F9gN+tk60ch7aN9nMsdFBcXR/yNrr32Wq6+8iqW1lfwYO3esH0XJhxFveHs0H26a0AOM3NTuH/HAd7cXwOrbmzZF+s+ndB9II8fl8q/95Rz8xfhNY8vnbKRn03vFnGf8vPzWbVqFUUlZZzw12Vhba46diBXHTeQp97dyNP3h/cV69kb07crL18zk2927+e8R9ssDfxzoeWz993LdwEw+epwTbqZk0Zy/zU9WLJ6U8xn78rfXsXK1V+2bM/L7sKnrzxOyYFyjj/36rA21157Lddddx3PPPMMDz30UNi+T5e+Sre8XH7xqyvZV1TSsr0zvE/N9ynas3f1OadyzS+mMG/JJzy68L2wfSs+/YQs1cHZtz7BvjYTjrFHDeFfp1zKmi++6BTXNHPmTNtaclPGGT7tzPUYNpg4cSLLly/n8ssvp2/fvpx55pn06dPnoM4l5KGQxP2AuOuuu3jxxRd5//33w/hWV6xYwa9+9St+//vfc9FFF7Vsj+Upzpkzh5deeomcnJyW7Z3VU/zXjU+x64tNeIUrzFN0eVxM++OFrHvuPXxb9uOXQfy0hkSlKrjl23+wffdeTj3hF7hQSBIOqmUQXUg+/GIJ3brnWl7Tc4++yCtPtSZVaU3pMjpB8rrn8vjChy2v6e7Jv+EiU5KotHqKBlAJ+H97Hudf96uYnmJKSgr/+7Or2Lcz/O+XgIvhU0cz7Y45lvep9qHbMfdsRxDpKUqXm5T7nrO8Txvm3sOEQfvxma2eopRQW63S9fK7yZ84NOZsvW7XPgpfuAWlDXFCs6dYUtCI48o/hvXV/tnzLX8Z6auI6ilK4cBz8m+sPcWd78f0FLv0H4eePyjms7dv5ec0NhQhmkpi2nqKRRu34B57asR9auspBquLwNDJze6CpmkhT7GZVF7VSMzq1Wk9RYCkBAee8u+oKtxOTb0PJTUHLX8YwuEiNzcX1Qiw9+vlBCuLEaqGktUbT94AsrOzO801ffPNN5x33nl88MEH5OeHS7QVFhYyZcoUHq7vSxdpnzF7QAT4H+/2qOfqDNi8eTODBlkTzeu6zjXXXMNHH33Exo0bD6qfTuspZjRxMbZ/uJr/3T6ZJzk5meQYzCi5ublRb3L70Gwz3G53TOLz9PT0mKKYsdp4vd6Ys7m2BAmTZk2lfM1eDH8QRQiSCNF0aaaDcadO4rNbXsIJuIQDVxud+4Bh0FBew8vPL0Sg4pcSvwx93AUKr7/yJr+//XeW16QYSoshbAsNBzIoItq2vyYjI5v3Sw9wipR4cJAooAx411CZO3JI6FyaFnMM17x4O/efdjMN1fWhNSlFkJ7XhTkPXIEnJXpRRPN92u7KIcO9JyyEmebUSJVQJRIj+mz/b6W/jqKAV1Xxtilt0BPAnRO6B7GILBQzSH6KF8UROcvOzHCRHON6m589//CRGDu+bAn5uBwa+RnJoSzkzB4ktGkf7dmr/aIGNSeZ/C6tRfrN81wlIcfy2cvp3gPfF+tQBw1EOFrvvWoYZG/ZRPIvfhPRJiUlhZSU0HpaMEkFvXW9OTe7zd9Ic+FIDf37x3qf2iLms5eZQ9aA44jaStPoMWFa1PN1lmuKR4nekAIjDk/R6KCnKKXkueeeY8GCBZSVlTFo0CBuvfVWhgwZElf78vJyTjvtNBYuXBiXEX7mmWd48MEHLY/RNI277rorbuLwaOi0hSnNf9jmdcFmNM/2forkACnDu7G3vpyA2VScL02C0mBLUgPuJA97Gqswozj2UkoONNSy4MXXI9jhpZQ8/dcXbPvu1jsfRcJE08PvjExuMLpwmpGEVyrk5NtnE+f1yeMbqXKfofKiofI3Q+XvhkaDpuFNtC+kTc/vwp0rn+S8h+by87lncNFf/4dblj8c0yC2xdd7vU3XGrnv0+/sEyI0fFGThKQJRpV1tovhF5h6ZIKQlJL60kjR5vYQCYlR10CEECiJNqUsQP3idWCYIc+y6QdQv3QNBK37F2npBN5+O6SK0aa9WbgPY8cu+7Fb1EEKl32N5hH8ZyCbwqd2v47SvD399NO4XC5effVVXn899O254oor4laouO222yK8Yyu0XzKLhbS0NEaOHBn3edvjkD3FrVu3kpGRQWamPSVVRzBhwgRSU1NZu3ZtmNX/9ttvGTZs2E9Su/GvT73Aq5Ub6K2m0s+dic8MsrahmLpqkw0btvCpr5Ae3iQcUmn5kAakwSeNhUwLBFoSApKEg3Thotz0UYeO32+von7ymSdSePPz9JNOnE1zpVF4GGC6yb74LNv2U86ZyrZvthJoDFDYZntCYgL9RtpzeEopWf7s23zw18UEfQESUrw03FjH+LPtZau8ih9DjyTG0U1IcdsbpgMlGu6uoLZ7G4QCDYEErFZsHF1S8MeoPpBx6OxKXY9amyqlxAzYj9175mQw/WF6jtKUJIzpj9arh3XfNdU4Z56BcLnC+lfy81CH29d0CdFeATN83xF0Dsg4DV5HMql9Ph89e/Zk6tSpQMg7vvTSS5k7dy6VlZUxPeVmLFy4kB49rJ/P9li5ciUXXHAB48ePZ+zYsYwYMQI1GkUirZHGg0GHntybb76Zhx9+mNLSUBr3Lbfcwumnn84JJ5zABx98cNCDiAZN05g7dy5vvvkmPl8oRFNaWsqHH37IlVde+b321VmwadNWAsEgW3wHeKtqM+/VbKdUr0cIhZ0795CQl84L1RvYGaym0dQ5oDfwdt0OvvSX0KdPD1QEv3D25Cr3IGa7enN1wmBmOLrH9agrpTUMVr0tBhFAQ+BVVHqW2xvVCdOPZdTk0bgSXAhF4HQ7cSW4uPbJm9BikA60xXtPvsG/H/kXvrpGDN2grryG125/jm+XrrRt272rGvXj7FChW6Z9OcruPV4CgZA4RjP0IGxeo6F4rT1VV6KK5ol8jYQQJPeyltsC0HdF98iEEBj7CqPuawuteyLCGf73FYpA7ZKE9FvQuAEiJRW1b98I6SfhdOI81p7aD91CRNmwF1g+gv8MzA784oXb7W4xiM2oqalh+PDhtgZx7969bN++vcMhzsTERMrLy3nkkUeYM2cOo0eP5pJLLuHpp59m/fr1YR5qLGMZDzrkKe7Zs4f//d//xe12s3z5cl5//XV+97vfcc455/DYY48xZcqUgx5INFx44YU4nU5uu+02+vfvz4YNG7jvvvv42c9+9r3201nQrVt0gaX6+noGD+7P8OGDeWPnO7xSuzlsv9frISkpkZMdeQxUUxBC0PxIDNfSaBD2LkvVNzvQDSNiVVEzofiDb+h+0UmW7RVF4dq/3sh332xj/WdrSUxNZML0Y0lKs5PZDTHy/PuxRejtPCPdr/Pm/73EUaeOi9Gyqe+klKaZcLhpNEww46gna6wM8tFiN30GB8nON/E3CrZv0jhQpNK73rpG09QDMVPA42GXMuurIjzUFsRR/I+F4TODPpSE2H9/oQqI8fEQKfb3TZqxnytpxOEmH8F/BJI4paOajmm/ZAXWORsAZWVlLFu2LGYFQDMMw+Cxxx7jj3/8Ixs2bLAdU1tMnDiRRx55hLKyMlasWMHKlStZtWoVn332GUIIEhMTOeaYYxgzZkxLtu/BoENGcdq0abjdboLBIPfeey/Dhw/n8stDmmv9+tkXSR8MZs+ezezZs3+Qc3c2HDjQGjP3Kg6C0iQgDYSA/aVlrFmzHoBMNYGuWiI1ZoA9wWp0XWfPnkKO0jKiKh4co9qHEgoqK9BkJAmoRLK3aD9j4xi/EIJu/bvhb/CRmJpEYmp860r+el+YcHJbVBTZs/EYfYZhrHsbU0rCxesF1V3si3aD9T6EDnXVCp4k8DVAY13oRI2lVZZthXFozC1KggYxoqTCGcds18IwmY11kBxbJUQ2ceRG79zeolt9aOVPiB3lcIcJxCO3ajbdsjlz5kTs++1vf8tVV10Vsb2mpoZ//OMfzJ8/n6qqKjweD3/+85/RtOim5dlnn+Xss8+2LSOJhksvvRSAzMxMpk+fzvTp0wEoKipqMZKrV6/mww8/PKRaxQ4ZxdLSUurq6vjLX/7C3r17efnll1v2ff3110c0FQ8RGzdtoZszhVNTB5CohkJvu/2VvF25hY2btuJyOpiZ2I9+zrQmPkNJg9R5pWErLlWL+YmKlMCNRFWT8Yl2ZGNNHB4LsHTeEubf+zyaQ8MwTDJyMvjD8/9LdnfrRB3LBziOl7nHscN57e4sft7/AB6niZShjLvl2zMYe+nxtu1VYTDxVD+JyRLNEbIzPQcYrPnUQaDGWhNRWCXDuOxffDWvJ+buSL1KKSVKek6UFu2Pi05vKqW9bxBqF+lhhwZm/2lQhIgZcjtiEzsPTERcZN/NdYrz588PK2EDYnqJSUlJXHLJJUydOpVnn32WxYsXM3LkSM4777yIYzdu3EhDQ8NB81YPHTo06vauXbty1llncdZZodyHHTt2HNISW4eM4pAhQ5g4cSKGYXDbbbcxcuRI1q1bx7x583j33Xe5//77D3ogRwCpSgLHpefjbCP509OVxi8zhuFJcHN8Zm/SKmpD3KdNHx1NKpzu7UtOXmzDE08uWF5uNtECDgJBRrK9x7dp1UZe/vMLBHwBAk1eX/HuYu6+8A7+8uETloZPsYj/xzPj82QmU+Vz8M+vs0hN0FEVqKjXQFFI6WafANZzkCQxRdI8uVXU0GL7yIlBGnJtFDY0BwFPLxz1O8NVMkwJve1lq5wDj8W/Z23keYXAOWyybXvpCyASotegyWpfTLLx0NhdCGcCMtDQfg9qchz8xVb3TTk8ZJakvx6jch8gUNPzEU577dDDDfGuFzYfk5OTE3edohACj8fDwIEDuf/++ykoKGDlypURRtHv9/Pss89y7733dmjsB4M+ffrY1jNaoUNGcerUqUyePBld11uYZfLy8rj++uu5/vrrD3oQRxDCpOx+KLXhRdiaUMh0eOmZ1IWN31XiFOHJG6pQyCKB/buLKTAb6KZ4wj/OUrJT2uspZnXPoSiaUC6Q083eY3nn+bfxN4YnV0jTpLyknN0bd9FrqFW2sIzpsCgO+xDizg+/RXM6CAQNqhpbP8ZCCDa+/jnH32wdwegxQBAj2kNyknWSkTRNNv9lC72nCRK7tvZdtr6RmtUbGHZC9Dq3ljFaeGTxfKAD64twHdMjMnu1MQCafSmMSExHVrQ3itJSnLgZitOLWV9J5I0TKK7OLzKsF29Fb56QCNB3f4PW+2i0rINjQums6Oia4qFg1KhRUann1q5dy7Jly1i+fHnLtmZCjtNOOw0hBN98880h99+Mq6++2v6gGOiQUTzzzDM55phjuPnmm1u2HUrq6xGEo1dGNoU7IrUHhaKQ7vaiGEAMG7F2zXr+FdjNJa5+uNFQERhI6mSQJXohdj682eBHcWrIdnqNAtBc9mwYNWXR194UVaGuytooOxNcKKqKqUeuj7m8btu+gw1+glHWJKVh4osj9KumJIO/vWEIhQA9PayFfoPltWQOMvB0cYcZpvRBCVQtja3Z1wyjeBuoDjDaLSwKgVG4CWWwtbfp6N8fpD8s7i2lRAZNtJ7dLdtKaWJWRefONCsKUfOs12OF6gCnBwLt/saOBITauTUHzcbakEFsrptpsuv6zq9RU3IRh4FRjxcd9RQPBfv372fChAkR24cPH87bb78dtm3t2rXccMMNPPXUU9+LslJb9OoVW41qETAAACAASURBVB3GDh0qyairq4vg7mtGtIylI+gYBh0/EsUZOU9xORx0HdKTgDCjFsYqCEYdfwxdB/bgUd9mFgf28kmwhDcCe3jCt5n+I+1DCSlH90VE0W5SPC7SJ0WP5bfFMSeNxemO/BAaQZ0+I6yTsPwNvqgGEaCh0rqsACAlPxMZI+ElId0+9Lvl8wb0djbJNMHXKKgus/5UKF4nOWMTUJ3hr5LqFOQdZ2/QkWZ01gEpLbM7m6HlJUbcNyEEaorHMjMVAD0Qkyna9NlHF6ShRxpEgGADsr2R72QwyveG/vbR9lXYl8IcTpDEV47REb7Pmpoa7rnnHtasWdOybd26dVRXV3PmmWcC8NRTTzF9+nQqKipwu9306NEj7NdsCLt27drhmsUfEh0yig899FAE318zli1bFnX7EcSPMXOm4En2oqitt8WR4GTEjAmk5mXSRfNEXWMTAhwNOnfddwvOBBebzGo+0fezVdbi8iRwxz2/t+3b0yuH7OnjUTyt4Vnh1HBlpdL1THvR6CnnTCWza5dWwygErgQXc35/IZ4k61m3r9Y6mcUOlXtKEVrob6YqEk1p/djVl0V63u2xd1OQA8WiSWKn6WfCVx872PWvLyzbqgRb+m4Pd6b9upqSE2PCoGpoefasTbI+uuGTQd0yMzXUR+zxCYe9QTejGcQmGD77ycyPCimJbgY6ah46P5rDp/H84kUwGGT16tVccMEFXHbZZTz11FNs3bqVJ598sqVGsLKykrKysjDe1sMBHQqfPv7442zYsIFHH30Ul6v142kYBqWlpVxwwQXf+wD/m+BJTWTO/Bv52xX3499VjqlA7ymDOOPPoVRkacZ+bOtKqxk/8Rie+9Mf+er+19DqgujJTsbfci5HjYpPcXroo5eTOrY/Bc8tw2jwkz19LL2uOh3VY1+EnuBN4N4lD/L+gmV8uWwVKRkpnHrRaQwaY8+D6E48tOQGb5cUEr0KE/IOkJ/qRwBl9Q4+2ZlOsp3AMZCeLejStZ3IsIDBR+toR9uUGrm9KG43BCINu5ZjrzyveJLRhk5G3/BRq9eoqqi9jkZJs+e1DBaUouWnRE6WFIFRG0CxSIAVioqS3AWz5kC41yQU1Az7sVt6g6Y9acKPCSUpg6hTBilRkr5fdq4fGyat5RZ2x8WLjIwMFi1aZHnMTTfdxE033RRz/9ixY9m6dWsHev3PoENGcdCgQVRXV9OzZ8+w7YZhsHr16u9zXP+VqKmpZfK0s9m//0ALNZt3/hp2uRp46ME7CM1go+XfQ2VjHcGlq9l297/w+HRA4KwOsuH2BeR1zabb5OG2/QtFIf/cE/D26YrR6Cdt7EC0DhisBG8C0y85nemXnB53GwitG6bkpFNdEsmD2Gu0PUVcz+OGckrfIpJcocxTgC6JQaYPKcX5c/sJwcAxKmo7Z09VISPLxDnI+gMpFBXHmFMJrnwrFI5shubAMW6Gbd8Ajr5jULN7YxRuQhomWt6AuAwigHAp0TN0TYlZUQo51ms1WlYfdAlmswq9oqBm9kL1WrOSQChCYcagqOvsFRmyPlb9qcCsr0RJ/OnkShiIuMi+O0oI/lNFh4ziqaeeyplnnhmV6X3p0qXf26D+W/Hscy9z4EB5GFdpfX0Df3/qRa6/7grLtqJRZ8WdCyKK4A1fgBV3zo/LKNas38Wa2fdiNAZAgNQNBt19EXnnxscgZPqD1Cz5mNr3V6JlppI2+xTcg+PL5Lv6n7dz70k3hiXMeNOTuOy5Gy1ahVDx3gd4nEaYYRMCFAHVi/9F2uDYs1UAtzMQtVbdNKFh23YSelsv2jtG/AycbvQv30E21CDScnFOnInata/t2JuhJGWiDLIv4WgPEasswjRRM+0Nmwz6MeubJyMSTBOzthSZnIWwoeQxqyrBGf0YWV0OSV1s+/+xIGN5skKE8/39BNC8phjPcYcTHnzwQSZMmMD48eMj9kkpWbx4MU6nk1NOOaVD5+2QUWxmrVm9ejXr169H0zTGjh3LwIEDOfXUU21aH4EdPvjgUxobI2nFXC4nX3+9DhFrJicgOz+busLo7C9V24ts+zYDOl//8m6CFeEJFpv/MI/ko/qQNNg6k9H0B9h11nX4txe0qDNUvvY+Xe/6LalnnWjbf2aPHO5c+SSL/vQC+zbvoe+4wZx2wzk4E+xDt7UbNpEc5ZV2qBL/DvsM0EYtC49REFF2pyjgHBhfvZOSkAjuRNADCE8SwhW/h236g5Q/+y+qFr4Huk7yjMlkXvFL1DjURQKbi3CP6RXBf2r6gxiVDWixCW0A0Iu3tMt8lUhfHUZlIVqGzT0v3oPoEX3CYBYXQH7nVbJR07piFG2Osu4qUNKsM44PN5hCxCUgbB5mjAvV1dX0798/6r4HHniAzz//nG7duqEoCiedZE1T2RYdSrQJBAJcfvnlXHjhhdx///3cc889zJw5k1tuuSVuuZAjiI0ePfKjEtkahkFObhaifYyvCQKBFQl+PLem/JP1mIHIGbIZ0Cl8yZ7svXLBu/i37AqXKwoEKbrlUcwGa/5QgAO7S7jrhP/h23dWsW/THla8spx7T7qBuooa27b+5GyihZWDhqBa2MsvJZ91PoYe/ncyDNhX1gVvT/si5uDmlfj/PQ95YC801mHu3YTvXw9jHiiwbSulpOCSP1L2xCsE9xYTLDpAxXNvsHvW9aFkGRsYxT70kkrMZnHkoI70B6n75wrUVOtrl3ogSuE+IE2M6lL7sTfUhdzpyItCNsbHgvRjQUnMQM3sCUqbyYSioub2s+SLPRwhO/A7nJCVlcWLL77I6aefzhNPPBG278033+TOO+/k0Ucf5fPPP+/QeTtkFJ944gk2bNjAjTfeyEsvvcTSpUt59tln8fl8PP300x3q+AgiMfeKi3A5w8saVFWlR498Rh89gpT8GOtbQpDc1WLtKw6rqNc0EPW1MEyCVfaZhBUvvhW9n6BB/ar1tu0X3Pg3GqrqCDSEMtUCDT4qi8t5688LbNsGUnIprXXQtqrDMMEfFJS57VO9D6zZjSnbDV9CXWktht+6tEBKk+AXi8LXEwH0AIEVb9r23bhmMw3fbEG2CRvLQJDgvv3UfrDKtn3Cz46n5ol3qVvwGY2fbqbh32up/PMiZFUALdsufGn1XMTxiTRk9FCjHoQ4DPqPDa33MTgGHofSpTdKVh+cgybj6HHwOnydFT+ESkZnQH19PQUFBUyaNImVK1fy1ltvAaDrOuXl5fTt2xchRARlnR06ZBRXrVrF4sWLueiiixg9ejS9e/dmwoQJPPjggy1yUkdw8BgyZADz5z9JZmY6iYle3G4XY8aM5N2lCxBCMPnm2Sjt0/8VQb+Tj8adGjvNMJaH2RbpEwcjg5H5eKrXRdbJx9i2N6pjG85gkfWzEfAF2PX1thA1WhuYQYO1S+0NQ2J2Gh/symV9USINAQV/UPBdaQJvbswhpU905ZG2kN8sw6GFq1qoGgwY7KPy223WjRvrIBg95dws3Wvbd+O675CGgeLVSByTTdL4HNQUJ2a9j4Y1m23b+79ZD6YkuLGAhsVf4vt4I7LWh1FZhVlrIx2luRCOKGFeIVAtiMSboeX3xdjwNTLQev3S78PYsg61a+fXOw3Vc+bg7DsWZ58xKHFc8+EIU8T/O5zgdDp58MEHue6663j++efZvn07EKqhBFpY1zoqI9WhNcXRo0fH1MpqHsARHBqmnzaVfQXfsnXrDpKTE8nPb13f6H/KMUy68Ww+e+h1hCJChfEnHMW0hy4PuTmKiEqHH49RdGWn0euaM9j12GLMJro21eMiaVgvsk61N4rOnl3xVUaGOiXgHmKdbKMIEZNBOp6x9zp+OEqChy/36ny5pzX0pSU4Gf5Le0Lw9JSGqPzXpglawEYZ3JUQe+xWZOFNcHTNJPGoTDLO6BGaqgtIn96LyvcKceTZf6SDW6MbbeF0oBcV4xxgXVKidumNvm9DK7O4BBQFJc1+MmHuL0Bf8k/MLetQjxobYuFZuxpz6wbUsy6FQaNsz3EEPzzMOLNP41l37ExQ2sxiFUXB4QjV3ZrtQvodXdrrkFE0YmikHThwIIzZ4AgOHnpAZ/1bX7DhndV40hKR555It5GtWYxjfjONkRecSOXu/Xi7pODNbNULzJswmH2fbwqPAyqC7lOOiqvvPtedRdq4gRS++AF6bSM5p48nZ+YElPaS9lFQOnoo3m+2hLHQSQn1QuAYZO01aC4H/ScOZdtn6zHbMNOoTo3RZ9gTB6gOjdmv3sKiS/9CTVEZQggcHhfTH5lLUq59ar0zLw9Z9l2EbVNUQeIg6wxSoTrQhhyLvvHzdiUZThzH2Ge9JU4YglrVE8URbvzTfp6P69gRtu213r3Q9xZGhK5lUEezKccA0Iu/Q5pma6apABnwY1TsQ+liHXpuXjc0t23A3NZGG0+ITr+m+N8EU8RJ83Z42URqa2u54YYbyM3NZc2aNRx//PH4fD4WLVqEoigUFRWRm5vL/v37O3TeDhlFj8fDXXfdxemnn47H46G4uJjVq1ezYMECLrzwwg51fASR0AM6T599J/u3FBBs9CMUwfolKznpptmM/1Vr9pQjwUXWoMjMwOPuuYhFM/6I4QugNwbQPC4cXjcT7zg/7jGkTxxC+kT7gvv2eH/jbjIMwURFtizaB4BXnAkkrf3Otoj/3Pt+w4tn3cjQQDHpIsB+w8WOLn2Zdv3ZcfWf0acrl3x4HxW7SjD8QTL759mWFDQj+czzaXj6DkSbcm7TBKVrL9RM+3pBx4QzQMqQYRSAouEYNwOtj/36lFm2G8XljCh2VxwqsnoP5FkbpuSL5uD7fAW0FWjWVDwnn4hiIxQsjSAy2BBR1iE0DaN4Bw4bo6gNHEng7fmRGZyaA23gES+xs+A/yX36n8T111/PXXfdxSeffML06dPp2bMnDzzwAKmpqbz99tv84Q9/IDk5mRkz4qsXbkaHjOLll1/OVVddxaxZs1oKdqWUTJs2jblz53ao4yOIxLo3P6do025Mf+gDKU1JsDHAO/e8zFEzjyUhxVqfL6VXDrM/e5Btr39GxZYCMof1ot/MCTjjLMCXpknRwk8pePbfGA0+smeMp+cV09BsaNogtD7zoVT50pD0EJJGYJcUuBQ1LnE9996dnOUqRBJAIMl0mgzTt6HuL4bE+Nen0nt1bFEdQOs9BPfMywgseQ7TlAhpovXsR8J59jWSECrgdx73CxzjZyB9DaGSDCXOdQwZi4otPu5ToWmROTFSgtOeYs6sLA9Z/yhrLjLGOmlbKHm9wOGITDJSVES3n5bSxOGMeDNLD7fsU7fbzV133RW2bcqUKS3/fe2117J7925OPNG+JKwtOmQUHQ4Hf/vb3/jyyy9Zt24diqJw9NFHM3y4fWH4Edhj1WsftRjEtvAF/Oz5aisDp9jPvl0pXob9Ov6anLbYdN3TFL/xBWZTBujuxxdT8uYKxr9/L2oMzb5mTJ41hc1fbqK2wc+GNvUhqqbRf6Q9K031Aw+D39+yqiGkiWxspObxv5LxcPw6nQ0VtRhBncSs1A6pbzvHnIhj5CTM0kKENwklteOF50JzIhI7pg6h5PSDdVFKXuLkPq2Z9xLo7Z4Zw6Rh8TukXn4xSlKiRecasrYOkR4uEyV1HWPbdjjaum9j09fRSzKQGBtWoxw10Xb8R/DDQ8YZPrUq6+rM2Lt3L59++im6rjNu3DgGDAh9b4YPH35QtumgpaOOOcY++eIIOoZdRftQpQwlnrSBNE0KSkr4IUuhG3bvp/j1z1rq3SBUAO4vKqdk0ee2rDbjp03ky2Wr+eq9VehBHc2hIYTg+r//HtVmTdJsaMQojq6yEli/Ier29qgpKuetqx9H374FVYFASldO+ctcckfE77EIhxM1r+NZk1JKil98jz0PvU6gtApP/3z63HEB6cfbrwkqnmS0Icejb/io1TMUClqvUfFxn27bHrUURjg020QbNT2TwOLFuGafA6qK0DRkIICsq0MWRyf+bwtj3y4IRPEo/T7MfbvgiFHsFPiphk8hxGrzzDPPtCTTCCGYPXs2t99++0Gfs0NG0U46qqP1IEcQjl2OOnpJE0W0GhEpJUFp0uD9Yadx1V99h9BUaFeXZzT4Kft4na1RVBSF3z12HTvWfce6z9aSlJbM+FMn4E2x8FSaIJxODCmiSkUGFPtH1DRMls75A5MzduAY0GwgSvn08ls5efHf8HZJsWx/qCj861sUP/caXUdruDNTqN1bzta59zPo6ZtJnWC/Plu5dDs1i9biGZyMUAQN22pxj0qg67Aptt6uo0/vg060MWtrMHfuwvfIo6ijj0bJyMDYtQvj27Uo2fasLkqXXHC6wN+ODN3lRuny02KFOZzxUzWKr7zyCpWVlbz++utkZ2fT2NjI3r17WbhwIfPnz2fOnDkHdd4OGcWHHnqITZs2Rd23bNmyIyoZh4jRJ09gyQMLGJ+Qj9FEqhyUBm/UbeHaUT9siNqZnRqVa1w4NBLy4w8l9hnejz7DbZQl2sGUkrX1boa562mbhBkwYWV1Anbl93s+/pbJWTtwa+Gv9fE9Stny4mKOvtY+0aihuIINj75J8fJ1uDKTGXzFNLpPG2M/dt2g/LU3GDQnEaEKFFXgzXWQNUqy5y8vkTrhHsv2gb3FlP/9NaQ/QKCgVeYqUPQxab+cimeUNc1c0kVz8H2xEulr9diE20XCKT+3T7TxNYCqIqur0T/4MHxfg332qDZ8POL1p0Prj81hVKEgnAloR7zETgNTEF0RJMpxhxO+++67iDXF/Px8JkyYwG233XbQ5z0iHdWJcOklc3j0sWdYX/YVOaoXv6lToQWYNWsG3bvb140dCtInDsaRlojR4A+rdRSaSv75U/6/vfuOb7JqHz/+uZMmTdOdQimzDCl7lCGIAo8yfGTWKg7gh4DAIwjiQFEQ3KKiPooIitIH0IKA7GG/LK0KFGQWLYhK2RQo3ZQ06/79kTa0NG2TrqThvH315av3ypXS3lfOuc+5TilnVpzJaOLHTH+8ZRMttHmYZAkvSebIdR8Omnwoa/yp8cg+fCU7XYiSjPfJ/UDpSfHG1Uy29puJISsX2WQm5+xV9kz9ksy/LtLu2ajSX/taFuF9vIssMqzwkkABwWFlzHEEcuIP2t0u6/PI3pFQZlJUR9xBrU/eI/3DzzD9fQrJ1xe/Rx4kYFzZo8EVIaFIvn5FJt8DoFSi6mS/R6gwyUuFdtrH6GM/wXwyEZBR3tEOzYhnkdRl16wVqkdVtRRlWSYmJoYVK1aQmppKq1atePXVV2nTpuTekX/++Yf33nuPQ4cO4ePjQ3R0NM8995xTz/8L1KpVchWvwMDy9w45lRRbtmwplo6qQjpdMHErlvDNxI9RZhmRJRn/9g2YNu/tsk+uIEmhoOva2Rx58r9cP3keSalAqdXQdv4ktI3Lnu9WEd5aDbWbN2TTCZmdmWYClBbSTUoMkpJ2/ctuIQfXsd9Fq1RAUEjZi+Ue/2IrhmxrQixgzs3jj3kbaPlkf1SljL718pFQ+RWf+qFQSAQ0KXsEqKRRU2zdKgClEoUDxdABvCM7EBb7ddH5hg6QFAp8J75EzoezraXZLBZQqZG0vvgMG+3QNRTBtdFOfgc5v+atpCr7PQvVq6pGn3711VdotVpWrVpFeno6M2fOZOLEicTHx9tNcqmpqXz++ec8++yz1K9fn+3btzNr1iwaNGjAI4884uSrw6VLl0rcl52dXeK+sjiVFAcOHMjDDz9MgwbFiySLpaMqLjMljVWjP0JlMudPY5DITbzI4kfeZtIma2I0G038te0gFw6cJLBBLVo/eA9anX+lvL5Po1Du2j6HG+euYs7Nw7d5PadushXx2HsTmD/8bfKMJlKMJry8Vfj4qBk6Y2SZ5+r63EfG1qXc+mdttCioNXBgmeen/HzMbok7Gcg4cZ7aXe1X4gdQ+Gjzq+4Uv6Uo/MouLB3Q7y5S3vii2HZJqSRw8L/KPL/IOeX4t1JFdiNgzkL0W77HknIBr7aReN8fhSKg7Go8RV5bJEO3VRWT9/V6PY0bN6Z///4A6HQ6xo8fz6RJk0hPT7db+ezQoUO8++67aDTWD6rDhg1j+fLlnDhxwvEXLqRTp07MmDGD4cOHU6dOHfLy8khJSWH16tUVmhHhVFKcPn26bfTprcTSURW35Y1lWEzFb84Xjp3i0vEz6BqGEhv9BpnnrmLMzcNLo+bXj9fw6IoZ1G1febUmfRpW/zp44R3v4OX/+4Bflv4fl06eo3HH5twzqj/+tcruBlGG1UfTZxB5P/6AwmJtsZglL9TNI/Du3rPM880m+7cMi96It670gUKSSo1X80hMfx9GKpQYZUmJd/eyp8Yog/xpMO9lzj/zHpJCYb2CyUTYGxNRN66ewSrKRk3xnejYnEyh5qmK7lONRmNLiAWysrJo3759iaVAbz2+4JzevcsuxWhPVFQUZ86c4bHHHitSbe2RRx4p9yAbEKNP3crp/SV/Yvoj7jdURgvpp1Mw589lLFhQePMzCxj349xy9cu7k5CGoUS96nj1ncK0Y6aiat8Fw67NyHl5+NzdB3Wv+x2bRG93rp217qohw87SSrdQ3zscWZ+L5dI/1onwZhOqVj3walt2Qgbwv+9OIhK+tT5fNJvx7dkJr+CatXyRnL9ahmSviKzgUs4uMpySUnx6VEBAAAEBJf9Opqamsm3bNubPn+9wXEuWLGHkyJHlTooAU6dOZejQofz8889YLBa6du1KmzZtWL58OcOHDy/XNcXoUzeiCfTl+jX76wcG1Qvh4GcbbQmxsOyL18i+lEZAvbLrfHoqSZJQd7kHdZeya6XeShumI+uv4gsxK9ReePmV/UxSUmvQDJ2MJfMqcnYaCl09JK1zXdpKPy2BAx1LoreSZZm8A4cxHP0dRYgObd9/lT5pvxJZ0lPRL/8U85+HAVA2b49mxLModJ654kRNZHZw9Kk5/zO1vVbW5MmTmTJlSrHtWVlZLFmyhNjYWDIyMtBqtbz//vt4eZWcWvbs2cPXX3/N7t27CQkJoXXr1nTr1q3U2DIzMzl5suQVa1q1sg5Iy83NtZUerZakKEafVq3eE4ew9sUvi22XlAo6DL2bwwu32D1PlmWHinYL9kWM6Ufqwb8w5RYahSlJ+NYLITDC8VG/isDaEFi9Xc+y0Ujq1OkYkv5EvnEDSaMh87MvqD3/Q9Stq7LcA8gmI7kfPY+cmQaytS1i/iuR3A+fw/eN/yGpnKvuI1QNZ7tPY2Nji/X6ldRK9Pf3Z9y4cfTv35/FixezceNGIiMjGTmy5LEAXbt2JSIigoSEBObMmcOLL77Ijh07UKtL/n05fvw4o0ePduBdWFWk18yppNiqVSu7o08tFgv79pW97p1Quk4P9+L49oOc2HHQtragQqlg+BfPodKoaf9ob36euxrZXPRXXNesHn6hzg2MEG5qcH8nIsb048TX/4dC5QXIqAN8+deyF9y+Szpn7UYMvx9HzrMmdFmvB+DaK28Qtn55lcZvSkywroYhF/p9tFiQ825gOrIbVdfSCz4I1cPZ0adhYWF2B1PaI0kSWq2Wli1bMnfuXM6dO0dCQkKpSVGlUlGrVi0GDRpEcHAwY8eO5dSpU7RsWfKHuKCgIAYOHMjcuXOLLBll933IcoUaaE4lxQEDBhAdHU3Dhg1t2xYtWkRERAR33XVXuYMQrCRJYuSi57nwezJ//3wMjb8PbQd2w1dn/ZSm8tXYLenl5eDQfcE+SZKInPkYLZ68n9QDf+Ed4k9otxbVNvK2InI3/58tIRZmycjEdPosqiZllT4oP8vVi5CnL74jT4/lyoUqe13BOTIyFgfSolwJJcE7depU6lQJe8cDtrUQS9KgQQPGjBlTZkIE69/z008/7XAMtyo1KY4aNQqNRsM999zDqFGjaN68eKWShx9+mJdeeonffvuNqKjSJzoLjqnftgn12zYptv3INzuLrU4PcOX3ZHLTsittasbtShsWTKNBZVexcSulNQSruJUr+QVSUhtE8hW/i+6iOsu8Xb58mR49ejh8fEpKCvXr1yc8vPQPb35+frRt29bh65Y0INQRpabdpKQkXnvtNVtTdPbs2YwaNYqnnnqKBQsWYDKZ0Ol0xZ4xClUjL+eG3e2SQoHxup1P7ILH0w56AEnjDV4KlPV0KAKsy4QpgoPwCm9YxtkVI+tLLgVn0dv/XRWqn+zEl6OysrKYM2dOkcXlExMTyczMJDo6GrD2Ig4ePJi0NGtlpx9++IFFixaRm2sd0W0ymZg/fz5vvPFGqQNzqlupkbRv35769W8ONHj55Zfp2bMnmzZtol69m3OotFqtU1lcKJ87+nXi6PJdWG6ZaK4J8iWgQckljwTP5Rc9GNPF43i3qY0sy0hKJcYzqWi6D67y56GSQglKLzDfMiJaoSy2cLG7ko15WDKsI48VwfWRvDxvcFBVtBSNRiP79+8nNjaWHj160KVLF4KDg1mwYAHK/H/79PR0UlNTycvv3k9JSeHrr7/m22+/ZcCAAeh0OiZMmGBb6sldlJoU/fyKDuvWarW0bt26SEIsEBwcXGybULl6PBPFX/93AH3GdUx6AwovJQqVkgEfTnD7ASFC1bBkXUbTpSFYzLaeVHXzumA6D7Su0tf26nAXeRuXFB/vr1CiqgEFwU1X/sF06gBIBR1mv+HVrDtetRq5NK7KZkbGZKc2sL3jHBUSEsK6detKPWb69OlMnz7d9v2YMWMYM2aMw6/hKk63WQtK9NxKWUM+GdZkvrUCeXL7+xz97ifO7vmDoPA6dHqiH7qmZa+7J3gm0/nfwXJLVpItWDIvI+flInmXXLe1ohS6OnhHjyNv7dc3B4BJEuoho91+6SiLPgdT8kHryNlCo2dN/ySgDKiNpPZxYXSVq6pqn3qqUpOiM62PrCz7k86FyuUdoOXOCQO4c4IoqyeAnFdCxR2FAtl4o0qTWf7JmAAAIABJREFUIoC65yC82tyJ6egekGW8OvRAEVK1BeQrg+XaWbsjuQHMaefxCnNu+TN35qnrKVaVUpPib7/9xowZM2yrGgOcPHmyWO1Tg8HA7t27qyZCQagBZLOZtB+Poj93Fb92TQjo3LxaurQVwfUw67OK3+BlGUlbtYsr22LQhaK+t2aNPJct5qLzK2075OIt7xrO4uCUDEeOuR2UmhTT0tJYu3Ztse32+pLFMy3hdpV36RqHB8/CmJ6NbLKAQsK/4x20XzEDpaZqB26oGrbDfOUUmI03b/IKJV5NuiApHHs6IhsNGA/swXLtKl53tETZoq3H/z0rdfUxXzxuJwFKKIKrdu1SVxDpznGl/tV07NiRp556Cq229C6Y3NxcFi9eXKmBCTWPMSWVq5/GkhN/EGWgH7qxUQQ93M/jb7DHJ89Hf/EaFKo0lH3oJGfnraPJS2UtkVwxkrcWTeehGM8dw5J+Eclbi1eDtih1jt3YzZfOkz1rCnKe3rqmotILrzta4TfzfafKtNW0guAKXx3K0GaYr/xzMzEqlCjrtkTh41lzLEX3qXNK/Q1+4okn+Ne//uXQhYz5i4wKtyfTtUxODZ6COfM6mM2YLl8j5Y0vyPvzNGGvTnB1eFXGlJ1L5r4TRRIiWJedurR8V5UnRbAmRvUdpRdULsn1T95Czsq42f1qMmH6Kwn9plX4RJe9lmWxguARHdAMn1ojCoKrmnRGWasR5tQzgAJl7XAUfp5XVF90nzqn1Mn7DzzwgMMX6tevX4WDEWqutKUbseTcgELrmsk38khfvhVTaoYLI6tasp31L2377Cxc7E4sGWmYz50q/jzSkIdhV9mLhhcUBDefOGxdfstiwXzyKLkfPo9sNFRR1JVL4V8bVZMuqJp08siECNYZM45+CWUkRUFw1PV9iciG4r0FklqN/s9kF0RUPVTB/vi2KF48WVJ5UXtw+UtNVQuLhZLqxMkODDYpuSB4LqYjYuCd+5Ad+k88ebQSSVGoFOrwuqAs/uskG02owjy72k7LzyajDNCi8LE+g1P4avCuH0KT6VXfdVoRCl0tFHXszHFVqVDf07fM8y1XL4KheDFyURDcvVic+BLKMXlfEOwJGfsgWVt+RTYXukmqvNC0aYZ3s6qtwelqfq3D6b5/Pimrf+ZG8iUCOkdQe1D3Kh95Whl8n3mV7NefBZPJmuA0Pijq1MPnweILzd5KWa8xqL0h75Y6p94+KOo1rpJ4BedZE54jzxQFEElRqCSalk1oMP8VLs2YhzkrBywyvvdEUv/D510dWrVQBfvTcMJAV4fhNK8mzQn8/DsMu3diuZKCV0QbVF3ucmgUqbJNFxTBta0txoL6p0ovpIBgvNq7edfxbURUtHGOSIpCpfG/tyt+u5diSklF4adFGeBX9kmCyyn8/NHc7/zke0mhRPv8XPI2/A/jwZ8BUEXeg/fQsTVmasbtQIw+dY74zRUqlaRQoKrn/sPxhcohaf3RPP4MmsefcXUoQgksyA4V+xZJ0UokRUEQyk2+kUve5mWYDsYjyzKqTr3wHjwKSSt6CdyFmLzvHJEUBUEoF9liJveTF7FcPm+thgMY98Rh/isR7Suf15g1FT3dzSkXZR8niCkZguAWZLMJc8o/mC+eRDbamebghszHD2FJTbElROtGE5b0q5h+3+e6wIQiqmpKhizLLF68mL59+9KxY0cef/xx/vjjj1LPOXHiBGPGjKFr16707NmT2bNnk5mZ6exbqlIiKQqCi5mvJKPf8gmG/eswHNiIfuunmM4luTqsMpnPnyphnuINLBc8t2BDTSMjY5HL/nK2pfjVV1/h7e3NqlWrWLNmDbIsM3HixCKrKhV24cIFXn/9dQYNGsTrr79O586dWblyJc8++2xlvM1KI7pPBcGFZKMew97vratcFGI8tBmFrh4K3yAXRVY2Ra2wkucphoS5JiihmKqYkqHX62ncuDH9+/cHQKfTMX78eCZNmkR6ejo6na7YOStWrOCzzz6jdu3aAAwcOJDc3Fzi4+M5f/48DRoUrwzlCqKl6GZycq7z0cdfcHfPwQwaPJIf4na5OiShCpkvnrS/Q7ZgPld6V5SrebXvgeTtA1Kh24gkIam98Yq823WBCUUUTMlw5MtRGo3GlhALZGVl0b59e7sJEeDuu++2JcQCPXv2tJ3rLkRL0Y3k5t7grh4DOXfmPP4mL/6STfz8SwIvTpvErFdvj0nwtx2Twf5itxaL2z9blFQqtNM+Qv/NfzH/Y03giiYt8Rn5PJJa4+LohAJmB6dkFByTkpJSbF9AQAABAQElnpuamsq2bduYP39+icfcddddxbbp9XoCAwNp1qxZmfFVF5EU3ciyb1ajvpTLuMBOAEhIZJhvsODDr3jqP09Qu7ZnVvG/nSlCm2C3KLdShbLuHdUej7MUujpop75nXY8RkLxFMnQ3soOtwIJniiNGFC/xN3nyZKZMmVJse1ZWFkuWLCE2NpaMjAy0Wi3vv/8+Xl6OpZaEhARGjx6Nt7e3Q8dXB5EU3cjO77fRx6cJKsXNoey1JC3RAa3Ym3CAIYPvd2F0QlVQ+IegbNoZc/Khm88VlSoUYXegCKk5NWNFMnRf1meKjiRFq9jYWMLCij4TLqmV6O/vz7hx4+jfvz+LFy9m48aNREZGMnJk2WtxHj16lOvXrzN+/Pgyj61OIim6kYa53iglU5FtCkmBFhXKdPfuShPKT9XuPpRhTTGfSQSLBWXDNijqNkeS7C/rJAjOcHbyflhYmMODXiRJQqvV0rJlS+bOncu5c+dISEgoMylmZGSwcOFCFixYgEqlcui1qotIim6kcZ26XL5wqvgOSaJJWL3qD0ioFpIkoQxtgjK0iatDuS3JFms6kBSeOe5QluUSp0kUOa4SJu936tSJS5culXqMXq/n3Xff5bXXXitxUI4riaToRu6M6sXmY2eKrdjuo1bTqFNzF0UlCJ5JzruO4Z99yJlXAFAE1UXVrCuSWuviyCpXdRYEv3z5Mj169Chxv8Fg4K233mLKlCnUrXtzLc/Tp08TFhaGRuP6bnjP/GhUQ3V6uBchDULx8r7ZnaDy8abnfwbhVyvQhZEJgmeRzSbyjm3LT4jWp26WjEvkHdtuazl6ioKC4GV9OZMUs7KymDNnDocOHbJtS0xMJDMzk+joaAAWLVrE4MGDSUtLA8BkMvHCCy/QsGFD/vjjD+Li4oiLi2PNmjUsWLDALRIiiJaiW1FrNUza9DZ7l27jj7j9+ARouWv0v2nVr7OrQxMEj2K5djZ/DcjCiUAGkwFL+gWUNWiQU1mqoqVoNBrZv38/sbGx9OjRgy5duhAcHMyCBQtQ5te8TU9PJzU1lbw863iIGTNmsG3bNrZt21bsem+//bbDr13VJNmRzmYXSk1N5X//+x+1a9dm9OjRTp17/vx5+vTpw86dO92mWoIgeCJLxjVARhFUy9WhOMR49ijmC/ZK6Ul4NWqPV/3W1R5TeZR2jyvY1/BGQ1Ry2YNZjJKRcz7nbvv7pVu3FOPj49m8eTMbN25k8uTJrg5HEIRbmFPOoo95D8uVC4CEolYYmjHTUdZ370FDCm0QZoUXWEy37FAiad23tF55iKWjnOPWzxR79+5td8KoIAiuJxv05P73RSwXz1hXyjAZsKScJfeT6cj6XFeHVyqFrgGSSgOFp71ICiRvXxRBnla3VXboP+eqn3out06KAAoPHSYtCDWd6cie/GWjbrmZmk0YD/3ikpgcJSmUqNv1R1GrMSi9rBWEajdB3bYvkuRZ95yqqH3qydy6+9QZWVlZxYrK2qvhJwhC5bBkpILBUHyHQY+ckVr9ATlJUnmjvqM70N3VoVQpWcbBeYoCeFBSXLp0aanFaAVBqFzK8AhQqyG/7qmNt8a6T3ALZixIDjwxNIunioAHJcUnnniCBx98sMi2lJQUu8VtBUGoOGVEB5T1m2I+9zcY81uMKjWKsEYoW4lpRO5Czl9EuMzjRFsRcIOkeODAgWIFYbds2UK9es6VNStraRNBECqXJEn4THkXw861GBO2A6C68z7UfR/y2JJpNVFVLDLsyVyeFNu2bcv69euLbAsNDXVRNIJw+5FlGfPpv7GkXsGraXMUIY7//UkqNd7/fgzvfz9WhRFWDdlsxHT+D8ypZwBQhjbBq15rJKXLb4uVyoKMVE1l3jyBy//1NRoN4eHhrg5DECpMvpGNnJOBFBiKpHaf9eFKY8nKIOftFzFfPAcKJZgMqHv/G+345zy6tSfLFgy/70C+kWVb5Nl84TiWzMuo2/T1qBVKRFJ0jsuTYlkM+aPbLB5Wj1DwHLLJiGHnMszJx6zD+y1mvDr2RXXnALe/uV7/9G3MZ0+B+WYResMv21E2jUDTb7ALI6talvSLyPocW0IEQLYgX8/AknUFZWAd1wVXyapzlQxP4NYfBffu3ct///tfAOLi4ti8eTM5OTkujkoQijL8vApz8u/WWpoGPZiMmI7sxHRin6tDK5UlOwtT0tEiCRGAPD15W793TVDVxJJzrXg1GwCLGTnnWvUHVIVkB+coiqRo5dYtxbvuuou77rrL1WEIQolkkwHzyd/yi0sXYjJgOrQdVSs3ngOnvwEldJHKue5dkaaiJG9fa3ex5ZYPBAqldZ8Hschy0RZxSceJpAi4eUtRENyeIa/EXfKN7GoMxHlSrVAkfzsjtpVK1F1KXhPPEyhDwkFS2tmhRKHzrGLYoqKNc0RSFISK8PEDjb2WhYSibrNqD8cZkiThO3E6eGusrSYAtTdSQBCah0e5NrgqJnmprCXdtEEgKax1T/10qNv0Q1LYSZY1WMEzRUe+BDfvPhUEdydJEupej2DYviS/DijWm6yXCvVdQ10amyNUHboQ8P4i8n5YiznlAl5tO+LddwgKP39Xh1blFNpAvDs8gGzUAxKSquiIYdlixnLtHOa080gqb5R17kDhG+yaYCvA4uBMRWdbirIsExMTw4oVK0hNTaVVq1a8+uqrtGnTpsxzf/zxRxYtWsSKFSuces3qIJKiIFSQV9MOSEOnYDy4DTnjKoqwJqi63I8isLarQ3OIsn4jtOOedXUYLiOpiq/4LlvMGP7YiZybmT8gR8J8NRmvJp3xCnXvHoDiHB1E41xS/Oqrr9BqtaxatYr09HRmzpzJxIkTiY+PL3HU9YULF9i9ezeffvopqanuWR9XJEVBqATKsKYoBz7l6jCESmK+eho5N6PQQBwZLGZMyQdRhjRCUpa9aK+7sCAjOTIlQ3I8Ker1eho3bkz//v0B0Ol0jB8/nkmTJpGeno5Op7N7Xv369XnkkUf47bff2Lhxo8OvV51EUhQEQbiF+drZ4iNTASQFluxUlEF1qz+ocjLLMpIDo0+deaao0WhsCbFAVlYW7du3LzEhFqZUuu9zW5EUBUG4bcmyjJyXA0goNH627ZJSZb8zUZZrXBk4RxcQLuhitbfkXlm1pVNTU9m2bZtHrFRUs/51bwNGo5E1a7awbv1WQkKCGTduJJ0i27k6LEHwOJacNAwnd4PxBgCS2hdVi7tRaINQht2BJeNi8dailwrJr5YLoi0/h0eWyjIS2F1ZaPLkyUyZMqXY9qysLJYsWUJsbCwZGRlotVref/99vLxqbmqpuZF7IIPBQN/+j3D06B9cv56LQqHg29g1zP3gNf4z4f+5OjxB8BiyyYAhaReYjTe36bMw/LET705DUQaGYanXGvOFP6yjicE6f7PVv9y+dN+tHG0pgjUpxsbGEhYWVmRPSa1Ef39/xo0bR//+/Vm8eDEbN24kMjKSkSNHVjhuVxHzFN3IypUbbAkRrPVec3Nv8MK018nMzHJxdILgOcypZ+xXebFYsKSdB0DVsC3enYagataN85pGeHeOQqENquZIK86Sv56iI18AYWFhNGjQoMhXSUlRkiS0Wi0tW7Zk7ty5REZGkpCQUJ1vr9KJlqIb+X7NZltCLEytVvHLr/sYNLCfC6ISaorvv/+e2NhYgoKCuHjxIqdPnwbgp59+om7dyhsYYjQaWbVqFbt376ZOnTq89tprlXZtR23dupW9e/fSqFEjjh07xrBhw+jZs2ep5xSZV3f1Ci0ahvLyiAdo1bjQ2q0WM8n//M3gXg8UWYTg+eef544O3YpdMz4+nvXr17N161Z8fHz48ccfCQ62P5dxz549jBkzBoBBgwYxYsQIOnXqVI537xxnWooV1alTJy5dulTh67iSSIpuJDDQH0mSivX/y7KMv79fCWcJAuzYsYNZs2axfv16WrRoAcCmTZt45ZVXuHTpUpGkqNfr0WiKz81zlEqlIioqik8//ZT77ruvwrE7a/Xq1cyfP58ffvgBrVZLSkoKAwcO5Msvv6RLly4lnld4Xt21Myd5ddYsnvl0Bds+fv5ml6hCwZK1ccycOROtVpu/SUHfvn3tXrN379507tyZrVu3cuPGDWJjY5k8ebLdY5ctW4ZarcZgMPDGG2/g51c9f9OybHEwJ1Z8JaLLly/To0fNLhEouk/dyPjx/w8fn+I3K63Wh3vuvtMFEQk1xZYtW/Dz87MlRIDBgwczadKkIqMJs7Ozeeuttyr8er6+vrabuuXqJQw7vidv+2osVy5U+NqlycnJ4YMPPmDo0KG2pBUWFkavXr14++23SzyvYF7dyJEj0el03NGxG2Oi/82V9GwycvJ7ZxRKrhq9yLiuZ+TIkURHRxMdHU1UVFSpCczPz4/mzZuj0WiIjY1Fr9cXO+b06dMYDAZq165tO6e6WGQZs2wp88vixJSMrKws5syZw6FDh2zbEhMTyczMJDo6GoBFixYxePBg0tLSip3vzksCiqToRnre041Zrz6HRuONv78f/v5+1K4dwtbNsW49r0dwPZPJRFZWFqtXry6y/dFHH7W1CvV6PVOnTuXs2bOV9rrmS2e5/u5E8jYtw7D5G67PeZq87VW37NQvv/xCVlYWHTp0KLK9Q4cOHD9+nJMnT9o979Z5dZIkkRsYTruWzdGF1kXyCUDZsB2xv/7J9u3b6d27NzNmzCApKcmhuIKDg4mKiiItLY1169YV279s2TJGjXJNPdmqKAhuNBrZv38/o0aNYsKECSxatIg///yTBQsW2O5V6enppKamkpd3s2j+1atX+e677/j5558B+Pjjj0lMTKzcN1xBIim6mRenPU3yP7/x9aKPWLXyK86dOUSHDmXXEhRubwWfzmfNmsXs2bPJyMgAICQkxNbFuX37dv7++2/OnDnDO++8w/bt2x2+vizLfPHFF0yfPp2FCxfyySefoM/NxXLubzAawGxCbzDw+fFLvPXBhzwx/HGGDRvGwYMHAThw4AA9e/akRYsWbNiwwXbdb775hu7du9uO27lzJ506deKnn36yG8eJEycAqFevXpHt9evXB+DYsWMOvZ/U1FS279jJ54sW491xIN4dB6Kq14qWLVsxbtw4QkNDWbNmDcOGDSv2QaMkY8eORaFQsGTJkiItoOzsbI4cOULv3r0duk5lq4qC4CEhIaxbt47ff/+dRYsWMWHCBIYNG4ZarbYdM336dPbu3Vuk67527do89thjHDhwgD///JNp06bRvn37Sn2/FSWSohuqXTuEhx4aRL++vWr0fB+h+tx777288847aLVaVq5cSf/+/fnuu++K3OgGDx5MeHg44eHhzJw5k379HB+49f7773P06FHee+89Jk6cyCOPPEJmZiaFH1a9nHiZPqF+TG9dm0WjHyQoKIgJEyaQkZFBly5deOGFFwBsXYgAERERjBkzhs6dOwPWFl1AQAAqlf0yaunp6YC1+7awgq7Ua9dKXyA4KyuLefPmMXDgQHbt2sUHH3yAyXRzLcyoqChefPFFVq9ezbJly6hVqxazZ8/m77//LvNnFB4eTp8+fTh9+jQ7duywbV+1ahXDhg1z2VQOZ0ef3u5EUhQED/Hwww8TFxfHQw89RFZWFq+99hrPPPOM7flNeZ05c4alS5cyfPhw2429Xr161A66OUw/MUPPwfQbbLmUzUfHr/D+GutozGbNmnH+vHWKw6BBg6hbty7fffed7byNGzcybNgw2/d33303P/30E3fffbfdWApaIrcmGEX+YsklJdMCBfPqli5dypAhQ9i8eXOReArr1q0bMTExKJVKtm7dWup1Czz55JMAxMTEAGA2m9myZQtRUVEOnV8VZCf+E8ToU0HwKKGhobz77rsMGTKE5557jm3btrFgwQKefbb8q2D8+uuvWCwWWxdlAUmtAazVYBIz9WiVCl5oUQtUanxfeQdFaNHjvby8GD58OJ9++imXL1/G29sbpVLpUK3MAiEhIQBcv369yPaC7+vUqVPq+bfOqzt37hwJCQklTjZv1qwZnTt3dnhFh8jISCIjIzl8+DAHDx7k6tWr9OzZEx8fH4fOB+sglO3bt9uexQUEBJQ4+tUxMo40AiWRFAHRUhSEGu/MmTMcPny4yLbu3bvz8ccfA9bndBWRm2sdnWntLr1JUipRNLoDVGpQKEg3mMlBiXrgqCIJsXBL9dFHH0WlUrFy5UrWr1/Pww8/7FQsBWv13Vqfs2BuXMuWLZ26XqdOncpsXQYGBtqSsSPGjRsHwOLFi1m+fDnDhw93+NzU1FSWLl1Kr169bKNf27VrR0xMjO3fwVlmB0efmkX3KSCSoiDUeP7+/sydO7fY8PaCAQy3Dv93dhh8kyZNANi7d2+xfcqwRvi++iURfQZiAdY36YV332jb/vPnz7Np0ybb94GBgQwdOpRVq1aRlJTk9CCLHj16EBQUxNGjR4tsP3LkCO3ataNp06ZOXa+seXUmk4mkpCT69OlT4jEWi6XIs9v77ruPxo0bs2vXLsLCwspsvRa2du1axo0bh7//zUWe69Spw+OPP87KlSsdvk6R+MQzRaeIpCgINZxOp+PPP/9k1qxZRebIFTwHGz16tG1bcHAw586dw2Aw2FqXpc0nA+jVqxeNGzcmJibGVsIrMTGR9PR0kpOTOZOVy7+efomIiAg+W/w/5s2bx8GDB1m3bh1vvvkmDzzwQJHrjRo1itTUVLp3717stfbs2UOfPn3sJmCwdsFOmjSJDRs22N7rlStX2LVrF08//bTtuFvfkyPz6vbt28fTTz9dZOTrZ599xqBBg2jbtq3deMA6uKfwz06hUDBmzBhkWS7yswfrPMvC/y8sJSWFtm3b2p6XTp8+ndjYWAB8fHzQ6XQYjcZi55WlKkafejLxTFEQPECjRo34/vvviY+Pp0OHDsiyTHp6Ol9//XWR8mfDhw9n3759REdHM336dMD+fLLC1Go1//vf/3jrrbeYMmUKQUFBPProo3Tu3JmmTZuSlZWFUqlk4cKFvP3227ZSar169bKNiC2sWbNmREdHM3DgwGKvpdfrSU9P58aNGyW+1yeeeAK1Ws2sWbOIiIjg999/54MPPuDee++1HXPreyqYVxcbG0uPHj3o0qULwcHBRebVBQQEcOHCBSZPnkzv3r0JDw+nW7dupU6liI+PZ8WKFfzzzz/MmTOHRx55hGbNmvHggw+yd+9eWrduDUBSUhLr16+3dUHPnDmTsWPHFplvefHiRRo2bGj7/uTJk0VqjoaEhJCenk5oaGiJ8dgjI+NI30DNKnNedSTZgz8enD9/nj59+rBz504aNGjg6nAEQRBKdOnSJZKTk0vszt2wYQMDBgwo8gy0tHtcwb4rl4yY7ayXfCulEkLrqm77+6XoPhUEQXADdevWJTEx0W43pl6vx2AwlDkoyB7xTNE5IikKgiC4iejoaJYtW0ZW1s2l4q5cucJ3333HkCFDynVNMU/ROeKZoiAIgpsIDQ1lxIgRxMXF2aayBAYGFhuw4wyzRcZscWSioniqCCIpCoIguBUvLy8GDRpUiVcUrUBniKQoCILgwWQcm24h0qaVRydFc/6Qq1urXwiCIHiCgnubuZThpQqFdWRpWRRihAng4Unx9OnTAIwYMcK1gQiCIFSh06dPEx4eXmSbn58fgYGBTl0nMDCwWhdAdkcenRQLJsIuW7asWDFjoWQpKSmMGDGC2NhYwsLCXB1OjSF+buUnfnblc+HCBUaNGlVk0n+BoKAgtm3bZrd6Tkn8/PwICgqqzBBrHI9OigXLzNSvX/+2noxaXmFhYeLnVg7i51Z+4mdXPoUX9y0sKCjotk9yzhK9yIIgCIKQTyRFQRAEQcgnkqIgCIIg5FO+/vrrr7s6iKrk7e1Nt27d8Pb2dnUoNYr4uZWP+LmVn/jZlY/4uVUuj14lQxAEQRCcIbpPBUEQBCGfSIqCIAiCkE8kRaFMp06dcnUINYrBYODw4cPExcU5VHNSEAT3cVs8U5w3bx4XL17kvffec3Uobi85OZkBAwZgsVhs255//nn+85//uDCqmuHKlSvMnz+fs2fPMnbsWLp3717ipGrB6sknn+TXX38ttt3Ly4uEhAT8/f1dEJV7s1gsxMTEkJqair+/P6dOnaJLly48/vjjrg7NI3h0RRuAxMREFi1aVMlLsXiumJgYZs6ciVarBUChUNC3b18XR+X+jh07xsSJE3nooYd47bXXUDpSgfk2d+bMGcxmM5988gkajca2PT4+nrNnz4qEWILPP/+cpKQkFi5cCIDRaGTAgAHodDruv/9+F0dX83l0Urxx4wbffvst7du3d3UoNcLly5fJyMhg5MiRrg6lRrl06RITJkzg7rvv5rnnnnN1ODXGqVOnWLBgge0DWIGVK1eKm3spduzYQffu3W3fq1Qq2rRpw759+8TPrRJ49DPFefPmMWnSJPGp3UFLlixh27Zt9O7dmxkzZpCUlOTqkGqEDz/8kMzMTF544QVXh1Kj3HvvvcUSYnZ2Nnv37hW9E6XQ6XTExcWRmZkJgCzLnDhxgjZt2rg4Ms/gsUkxPj6ehg0b0rhxY1eHUmO0aNGCcePGERoaypo1axg2bBirV692dVhuLTs7m7i4OOrWrcvixYsZMWIEXbp04al/o4okAAALcUlEQVSnnuLcuXOuDq/G2blzJ+3btyckJMTVobitqVOnkp6ezsiRI0lMTOSNN95gwIABREdHuzo0j+CRSTE9PZ24uDiGDx/u6lBqlKioKF588UVWr17NsmXLqFWrFrNnz+bvv/92dWhuKzExEZPJRNOmTXnhhReIjY1l/fr1nDx5kokTJ2IymVwdYo0SFxcnugDL0LFjR2JiYrhy5QrDhg0jNzeXSZMmIUmSq0PzCB6ZFD/++GOeffZZV4dRo3Xr1o2YmBiUSiVbt251dThuKz09HYBHH30UHx8fABo0aMC4ceP466+/+OWXX1wZXo2Sk5PDnj176Nevn6tDcXvnzp2jX79+dO3alQ0bNjB27Fhyc3NdHZZH8LikuG7dOrp3706dOnVcHUqN16xZMzp37kxqaqqrQ3FbAQEBgHWUbmFt27YFrFNcBMfs2LGD1q1bi7/dMixfvpyVK1fy5ptv8s033zBlyhT27dvHRx995OrQPILHJcW1a9fy6quvEhkZafs6cOAAmzZtIjIyki+++MLVIdYogYGB4vlOKZo0aQLAtWvXimz38/MDENMKnBAXF0f//v1dHYbbW7hwIQMGDEChUCBJEpMnT+aBBx4QPTqVxOOmZHz44Yfo9foi26ZNm0ZYWBjTpk0jMDDQRZHVPCaTiaSkJCZMmODqUNxWw4YNiYyMJCEhgWHDhtm2X758GYB27dq5KrQaJScnh927d/Pqq6+6OhS3ZzAYihTXAOjatSv79+93UUSexeNainXq1CE8PLzIl0ajwdfXl/DwcIKCglwdolvat28fTz/9ND/99JNt22effcagQYNsXYGCfZMnT2bXrl1FRptu2LCBwYMH07JlSxdGVnPs3LmT5s2b06BBA1eH4vaGDBnCDz/8gNlstm1LTExkyJAhLozKc3hcS1Eon4CAAC5cuMDkyZPp3bs34eHhdOvWjd69e7s6NLd3zz33MHfuXF5//XVat25NdnY2Op1ODPZyghh16riXXnqJL7/8kueee46mTZuSm5tLeHg448ePd3VoHuG2qH0qCIIgCI7wuO5TQRAEQSgvkRQFQRAEIZ9IioIgCIKQTyRFQRAEQcgnkqIgCIIg5BNJURAEQRDyiaQoCIIgCPlEUhQEQRCEfCIpCoIgCEI+kRQFQRAEIZ9IikKFxMfH89xzz9GiRQs6duxoW3TXnj179tCiRQtatGjBCy+8wKFDh8r1mkajkdjYWCZNmsQbb7xR5vGJiYl89NFHPPjgg/z2229u9V7Ka+3atbRo0YLZs2ezZMkSkpKS3CL+pKQklixZwksvvUSLFi1Yu3ZtpVxXEKqNLAgVlJ2dLUdERMgRERHyZ599VuJx//nPf+S2bdvKERERcnZ2doVeMycnR+7atas8ffr0Mo81m83yqlWr5IiICDkhIaHUY13xXspjzZo1ckREhGyxWIpsd5f48/Ly5IiICHnNmjWVfm1BqEqipShUmJ+fH82bN0ej0RAbG1tsPUuA06dPYzAYqF27tu2civD19XX4GgqFgkaNGjl0rCveS0VIklTke3eJX61WV/o1BaE6iKQoVIrg4GCioqJIS0tj3bp1xfYvW7aMUaNGuSAy59X091LT4xcEVxLrKQqVZuzYsaxatYolS5bw6KOPolBYP3NlZ2dz5MgRZs2aZfc8g8HAF198QW5uLkqlkoMHD3LnnXcyefJkW4tDlmW+/PJLkpOTady4MXl5ecVaQXq9noULF5KVlUVycjLXr1/n5ZdfpnPnztX2XpKSkvjmm2+IiIjgr7/+wmw2M3v2bHx9fQHYtm0bv//+O3Xq1GHz5s2Eh4fz3nvvlbmvuuIXhNudSIpCpQkPD6dPnz5s376dHTt20L9/fwBWrVrFsGHDinX1FXjmmWeoX7++7UadlpbG4MGDOXHiBIsWLQLg/fff58yZMyxYsABJkrh48SJfffVVketMnTqVZ555hjZt2gAwfvx4JkyYwM6dO6vtvUyYMIGHHnqIMWPGYDKZ6NatG40bN2bixIkYDAamTZvG7t278ff358EHH2ThwoUApe4rj/LGLwi3O9F9KlSqJ598EoCYmBgAzGYzW7ZsISoqyu7xv/32Gz/++CNDhw61bdPpdDz55JPEx8eTkJDAmTNnWLp0KcOHD7fdzOvVq0doaKjtnMOHD7N//37Wr1/PO++8wzvvvIOPjw/NmjXj/Pnz1fJeAB5//HH69OkDWJ/3+fn5cfbsWcA6atZisfDJJ59gMBjQarWMHDmyzH3lVZ74BeF2J1qKQqWKjIwkMjKSw4cPc/DgQa5evUrPnj3x8fGxe/zRo0cB0Gq1Rba3b98egGPHjvHPP/9gsVioX79+kWMKt3aOHDmCr68vM2fOtPs6+/btq/L3AvD000+TkpLCsmXL8PLywmg0IssyYB0c9Morr/DWW2/xyy+/8PLLL3PfffeVua+8yhO/PQaDge3bt5OXlwdAQEAAffv2rVBsguCuREtRqHTjxo0DYPHixSxfvpzhw4eXeGzBs66LFy8W2R4cHAyASqUiNzcXgMzMzFJf99q1a+Tk5BTbbjAYHA/+Fs68F4AlS5YwY8YMoqKiGD58OBqNpsj+ESNGEBsbS0BAABMnTuSVV15xaF91xX+r1NRUli5dSq9evYiOjiY6Opp27doRExNj+3cRBE8ikqJQYRaLxdYaArjvvvto3Lgxu3btIiwsjDp16pR4bpcuXQDYv39/ke2XL18GoGvXrjRp0gSAvXv3lnidpk2bYrFY+Pbbb4tsP3/+PJs2baqW93Ls2DHmzJnDiBEjCAgIsF2vQGpqKomJiXTu3Jnvv/+eqVOnsnbtWk6cOFHqPmdUJH571q5dy7hx4/D397dtq1OnDo8//jgrV6506lqCUBOIpChU2LVr10hLS7N9r1AoGDNmDLIsM3r06CLHFrTkCv7fvn17Bg0axIoVK7hy5YrtuO+//57o6GjatGlDr169aNy4MTExMSQkJADWKjXp6ekkJyeTnJzMPffcQ0REBPPmzWPevHkcPHiQdevW8eabb/LAAw9gMpmAokmqst9LSkoKYH2+aTQa2b59OxkZGVy+fJlr166h1+ttz/cAhg8fjkqlQqfTlbrPGRWJ/1YpKSm0bdvW1k09ffp0YmNjAfDx8UGn02E0Gp2KTxDcnfL1119/3dVBCDVXfHw88+bN49ChQ+Tk5FCvXj10Oh3NmzcnOTnZNh8uKSmJr776yvZs7+zZs9SrV4+wsDD69OmDyWTi66+/Jjk5mV27dtGoUSOmTZuGQqFAqVTSp08f/v77bxYvXszq1asJDg7GYrHQqlUrwsPDqVu3Lr169eLMmTNs2rSJ7du3o1QqmTVrFufPn+frr7/m9OnTmEwmwsPDqVWrVqW/l06dOvHHH3+wdetWtm3bRs+ePQkKCiI+Ph6z2UybNm2YNWsWp0+fJi0tjR9++IHx48fTrl07srKyStxnz/Hjx9m5cydTpkyp1H+Lwk6ePEndunUJDAwEYMGCBWi1Wnr16gVYW76+vr626Sa3mj9/Pn379qVVq1YO/CYJgnuQ5MJ9LYIg1Ahr167llVde4c8//6yy17h06RLJycn06NHD7v4NGzYwYMAAVCqV3f0tWrRgzpw5REdHV1mMglDZRPepINRgpRX9rqi6deuSmJiIvc/Ner0eg8FQYkIUg3CEmkp0nwpCDZSWlsa1a9c4fvw4p0+fRq1W22qZVqZGjRqxZs0amjZtire3NwBXrlxh3bp1PPzww3h5FZ3VlZSUxJYtW4iPj0er1dKzZ0+H684KgjsQ3aeCIJTKZDIRFxdnm9oSGBhoK1AgCJ5GJEVBEARByCeeKQqCIAhCPpEUBUEQBCGfSIqCIAiCkE8kRUEQBEHIJ5KiIAiCIOQTSVEQBEEQ8omkKAiCIAj5/j/B97lHeZP68AAAAABJRU5ErkJggg==\n", "text/plain": [ "<Figure size 478.3x590.859 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var = 'M'\n", "lims = [4, 8]\n", "\n", "plt.figure(figsize=(6.64306,4.10318716*2))\n", "plt.suptitle('Machine Learning: Cepheids', y=0.995)\n", "\n", "ax = plt.subplot(2,1,1)\n", "plt.scatter(DF[var], ml_pred[:,X_columns.index(var)], c=DF['logL'])\n", "plt.plot([lims[0],lims[1]], [lims[0],lims[1]], 'k--', alpha=0.75, zorder=0)\n", "plt.ylabel('Predicted Mass [M$_\\odot$]')\n", "plt.xlim(lims)\n", "plt.ylim(lims)\n", "plt.colorbar(label='$\\log\\;L/$L$_\\odot$', pad=0.02)\n", "plt.text(7, 4.1, '$R^2$: %.3f' % ml_r2s[X_columns.index(var)])\n", "\n", "ax2 = plt.subplot(2,1,2, sharex=ax)\n", "plt.axhline(0, c='k', ls='--', linewidth=1.25)\n", "plt.scatter(DF[var], ml_pred[:,X_columns.index(var)] - DF[var], c=DF['logL'])\n", "plt.xlabel('Model Mass [M$_\\odot$]')\n", "plt.ylabel('Errors [M$_\\odot$]')\n", "plt.colorbar(label='$\\log\\;L/$L$_\\odot$', pad=0.02)\n", "plt.xlim(lims)\n", "plt.ylim([-1.5, 1.5])\n", "ax2.set_yticks([-1, 0, 1])\n", "ax2.set_yticklabels([-1, 0, 1])\n", "plt.text(6.35, -1.4, 'St. dev: %.2f M$_\\odot$' % ml_stds[X_columns.index(var)])\n", "\n", "plt.savefig('CEP-ML-mass.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x590.859 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var = 'logR'\n", "lims = [1.4, 2.2]\n", "\n", "fig = plt.figure(figsize=(6.64306,4.10318716*2))\n", "plt.suptitle('Linear Model: Cepheids', y=0.995)\n", "\n", "ax = plt.subplot(2,1,1)\n", "plt.scatter(DF[var], lm_pred[:,X_columns.index(var)], c=DF['M'])\n", "plt.plot([lims[0],lims[1]], [lims[0],lims[1]], 'k--', alpha=0.75, zorder=0)\n", "plt.ylabel('Predicted Radius [$\\log$ R$_\\odot$]')\n", "plt.xlim(lims)\n", "plt.ylim(lims)\n", "plt.colorbar(label='Mass [M$_\\odot$]', pad=0.02)\n", "plt.text(1.98, 1.43, '$R^2$: %.3f' % lm_r2s[X_columns.index(var)])\n", "\n", "ax2 = plt.subplot(2,1,2, sharex=ax)\n", "plt.plot([lims[0], lims[1]], [0, 0], 'k--', zorder=0, linewidth=1.25)\n", "plt.scatter(DF[var], lm_pred[:,X_columns.index(var)] - DF[var], c=DF['M'])\n", "plt.colorbar(label='Mass [M$_\\odot$]', pad=0.02)\n", "plt.xlabel('Model Radius [$\\log$ R$_\\odot$]')\n", "plt.ylabel('Errors [$\\log$ R$_\\odot$]')\n", "plt.xlim(lims)\n", "plt.ylim([-0.05, 0.05])\n", "plt.text(1.42, -0.045, 'St. dev: %.3f $\\log$ R$_\\odot$' % lm_stds[X_columns.index(var)])\n", "\n", "plt.savefig('CEP-LM-radius.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x590.859 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var = 'logR'\n", "lims = [1.4, 2.2]\n", "\n", "plt.figure(figsize=(6.64306,4.10318716*2))\n", "plt.suptitle('Machine Learning: Cepheids', y=0.995)\n", "\n", "ax = plt.subplot(2,1,1)\n", "plt.scatter(DF[var], ml_pred[:,X_columns.index(var)], c=DF['M'])\n", "plt.plot([lims[0],lims[1]], [lims[0],lims[1]], 'k--', alpha=0.75, zorder=0)\n", "plt.ylabel('Predicted Radius [$\\log$ R$_\\odot$]')\n", "plt.xlim(lims)\n", "plt.ylim(lims)\n", "plt.colorbar(label='Mass [M$_\\odot$]', pad=0.02)\n", "plt.text(1.98, 1.43, '$R^2$: %.3f' % ml_r2s[X_columns.index(var)])\n", "\n", "ax2 = plt.subplot(2,1,2, sharex=ax)\n", "plt.plot([lims[0], lims[1]], [0, 0], 'k--', zorder=0, linewidth=1.25)\n", "plt.scatter(DF[var], ml_pred[:,X_columns.index(var)] - DF[var], c=DF['M'])\n", "plt.colorbar(label='Mass [M$_\\odot$]', pad=0.02)\n", "plt.xlabel('Model Radius [$\\log$ R$_\\odot$]')\n", "plt.ylabel('Errors [$\\log$ R$_\\odot$]')\n", "plt.xlim(lims)\n", "plt.ylim([-0.05, 0.05])\n", "plt.text(1.42, -0.045, 'St. dev: %.3f $\\log$ R$_\\odot$' % ml_stds[X_columns.index(var)])\n", "\n", "plt.savefig('CEP-ML-radius.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x590.859 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var = 'logL'\n", "lims = [2.9, 4.05]\n", "\n", "fig = plt.figure(figsize=(6.64306,4.10318716*2))\n", "plt.suptitle('Linear Model: Cepheids', y=0.995)\n", "\n", "ax = plt.subplot(2,1,1)\n", "plt.scatter(DF[var], lm_pred[:,X_columns.index(var)], c=DF['Teff'])\n", "plt.plot([lims[0],lims[1]], [lims[0],lims[1]], 'k--', alpha=0.75, zorder=0)\n", "plt.ylabel('Predicted Luminosity [$\\log$ L$_\\odot$]')\n", "plt.xlim(lims)\n", "plt.ylim(lims)\n", "plt.colorbar(label='$T_{\\\\rm{eff}}/$K', pad=0.02)\n", "plt.text(3.73, 2.93, '$R^2$: %.3f' % lm_r2s[X_columns.index(var)])\n", "\n", "ax2 = plt.subplot(2,1,2, sharex=ax)\n", "plt.plot([lims[0], lims[1]], [0, 0], 'k--', zorder=0, linewidth=1.25)\n", "plt.scatter(DF['logL'], lm_pred[:,X_columns.index(var)] - DF['logL'], c=DF['Teff'])\n", "plt.colorbar(label='$T_{\\\\rm{eff}}/$K', pad=0.02)\n", "plt.xlabel('Model Luminosity [$\\log$ L$_\\odot$]')\n", "plt.ylabel('Errors [$\\log$ L$_\\odot$]')\n", "plt.xlim(lims)\n", "plt.ylim([-0.3, 0.3])\n", "plt.text(2.93, -0.28, 'St. dev: %.3f $\\log$ L$_\\odot$' % lm_stds[X_columns.index(var)])\n", "\n", "plt.savefig('CEP-LM-luminosity.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x590.859 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lims = [2.9, 4.05]\n", "\n", "plt.figure(figsize=(6.64306,4.10318716*2))\n", "plt.suptitle('Machine Learning: Cepheids', y=0.995)\n", "\n", "ax = plt.subplot(2,1,1)\n", "plt.scatter(DF[var], ml_pred[:,X_columns.index(var)], c=DF['Teff'])\n", "plt.plot([lims[0],lims[1]], [lims[0],lims[1]], 'k--', alpha=0.75, zorder=0)\n", "plt.ylabel('Predicted Luminosity [$\\log$ L$_\\odot$]')\n", "plt.xlim(lims)\n", "plt.ylim(lims)\n", "plt.colorbar(label='$T_{\\\\rm{eff}}/$K', pad=0.02)\n", "plt.text(3.73, 2.93, '$R^2$: %.3f' % ml_r2s[X_columns.index(var)])\n", "\n", "ax2 = plt.subplot(2,1,2, sharex=ax)\n", "plt.plot([lims[0], lims[1]], [0, 0], 'k--', zorder=0, linewidth=1.25)\n", "plt.scatter(DF['logL'], ml_pred[:,X_columns.index(var)] - DF['logL'], c=DF['Teff'])\n", "plt.colorbar(label='$T_{\\\\rm{eff}}/$K', pad=0.02)\n", "plt.xlabel('Model Luminosity [$\\log$ L$_\\odot$]')\n", "plt.ylabel('Errors [$\\log$ L$_\\odot$]')\n", "plt.xlim(lims)\n", "plt.ylim([-0.3, 0.3])\n", "plt.text(2.93, -0.28, 'St. dev: %.3f $\\log$ L$_\\odot$' % ml_stds[X_columns.index(var)])\n", "\n", "plt.savefig('CEP-ML-luminosity.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x590.859 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var = 'W'\n", "lims = [-4, -8]\n", "\n", "fig = plt.figure(figsize=(6.64306,4.10318716*2))\n", "plt.suptitle('Linear Model: Cepheids', y=0.995)\n", "\n", "ax = plt.subplot(2,1,1)\n", "plt.scatter(DF[var], lm_pred[:,X_columns.index(var)], c=DF['Teff'])\n", "plt.plot([lims[0],lims[1]], [lims[0],lims[1]], 'k--', alpha=0.75, zorder=0)\n", "plt.ylabel('Predicted Wesenheit Index')\n", "plt.xlim(lims)\n", "plt.ylim(lims)\n", "plt.colorbar(label='$T_{\\\\rm{eff}}/$K', pad=0.02)\n", "plt.text(-6.9, -4.1, '$R^2$: %.3f' % lm_r2s[X_columns.index(var)])\n", "\n", "ax2 = plt.subplot(2,1,2, sharex=ax)\n", "plt.plot([lims[0], lims[1]], [0, 0], 'k--', zorder=0, linewidth=1.25)\n", "plt.scatter(DF[var], lm_pred[:,X_columns.index(var)] - DF[var], c=DF['Teff'])\n", "plt.colorbar(label='$T_{\\\\rm{eff}}/$K', pad=0.02)\n", "plt.xlabel('Model Wesenheit Index')\n", "plt.ylabel('Errors [mag]')\n", "plt.xlim(lims)\n", "plt.ylim([-0.4, 0.4])\n", "plt.text(-4.1, -0.37, 'St. dev: %.2f mag' % lm_stds[X_columns.index(var)])\n", "\n", "plt.savefig('CEP-LM-W.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x590.859 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var = 'W'\n", "lims = [-4, -8]\n", "\n", "fig = plt.figure(figsize=(6.64306,4.10318716*2))\n", "plt.suptitle('Machine Learning: Cepheids', y=0.995)\n", "\n", "ax = plt.subplot(2,1,1)\n", "plt.scatter(DF[var], ml_pred[:,X_columns.index(var)], c=DF['Teff'])\n", "plt.plot([lims[0],lims[1]], [lims[0],lims[1]], 'k--', alpha=0.75, zorder=0)\n", "plt.ylabel('Predicted Wesenheit Index')\n", "plt.xlim(lims)\n", "plt.ylim(lims)\n", "plt.colorbar(label='$T_{\\\\rm{eff}}/$K', pad=0.02)\n", "plt.text(-6.9, -4.1, '$R^2$: %.3f' % ml_r2s[X_columns.index(var)])\n", "\n", "ax2 = plt.subplot(2,1,2, sharex=ax)\n", "plt.plot([lims[0], lims[1]], [0, 0], 'k--', zorder=0, linewidth=1.25)\n", "plt.scatter(DF[var], ml_pred[:,X_columns.index(var)] - DF[var], c=DF['Teff'])\n", "plt.colorbar(label='$T_{\\\\rm{eff}}/$K', pad=0.02)\n", "plt.xlabel('Model Wesenheit Index')\n", "plt.ylabel('Errors [mag]')\n", "plt.xlim(lims)\n", "plt.ylim([-0.4, 0.4])\n", "plt.text(-4.1, -0.37, 'St. dev: %.3f mag' % ml_stds[X_columns.index(var)])\n", "\n", "plt.savefig('CEP-ML-W.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x590.859 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var = 'V_M0'\n", "lims = [-2.5, -5]\n", "\n", "fig = plt.figure(figsize=(6.64306,4.10318716*2))\n", "plt.suptitle('Linear Model: Cepheids', y=0.995)\n", "\n", "ax = plt.subplot(2,1,1)\n", "plt.scatter(DF[var], lm_pred[:,X_columns.index(var)], c=DF['Teff'])\n", "plt.plot([lims[0],lims[1]], [lims[0],lims[1]], 'k--', alpha=0.75, zorder=0)\n", "plt.ylabel('Predicted $M_V$')\n", "plt.xlim(lims)\n", "plt.ylim(lims)\n", "plt.colorbar(label='$T_{\\\\rm{eff}}/$K', pad=0.02)\n", "plt.text(-4.3, -2.56, '$R^2$: %.3f' % lm_r2s[X_columns.index(var)])\n", "\n", "ax2 = plt.subplot(2,1,2, sharex=ax)\n", "plt.plot([lims[0], lims[1]], [0, 0], 'k--', zorder=0, linewidth=1.25)\n", "plt.scatter(DF[var], lm_pred[:,X_columns.index(var)] - DF[var], c=DF['Teff'])\n", "plt.colorbar(label='$T_{\\\\rm{eff}}/$K', pad=0.02)\n", "plt.xlabel('Model $M_V$')\n", "plt.ylabel('Errors [mag]')\n", "plt.xlim(lims)\n", "plt.ylim([-0.8, 0.8])\n", "plt.text(-2.57, -0.75, 'St. dev: %.2f mag' % lm_stds[X_columns.index(var)])\n", "\n", "plt.savefig('CEP-LM-V_M0.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x590.859 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var = 'V_M0'\n", "lims = [-2.5, -5]\n", "\n", "fig = plt.figure(figsize=(6.64306,4.10318716*2))\n", "plt.suptitle('Machine Learning: Cepheids', y=0.995)\n", "\n", "ax = plt.subplot(2,1,1)\n", "plt.scatter(DF[var], ml_pred[:,X_columns.index(var)], c=DF['Teff'])\n", "plt.plot([lims[0],lims[1]], [lims[0],lims[1]], 'k--', alpha=0.75, zorder=0)\n", "plt.ylabel('Predicted $M_V$')\n", "plt.xlim(lims)\n", "plt.ylim(lims)\n", "plt.colorbar(label='$T_{\\\\rm{eff}}/$K', pad=0.02)\n", "plt.text(-4.3, -2.56, '$R^2$: %.3f' % ml_r2s[X_columns.index(var)])\n", "\n", "ax2 = plt.subplot(2,1,2, sharex=ax)\n", "plt.plot([lims[0], lims[1]], [0, 0], 'k--', zorder=0, linewidth=1.25)\n", "plt.scatter(DF[var], ml_pred[:,X_columns.index(var)] - DF[var], c=DF['Teff'])\n", "plt.colorbar(label='$T_{\\\\rm{eff}}/$K', pad=0.02)\n", "plt.xlabel('Model $M_V$')\n", "plt.ylabel('Errors [mag]')\n", "plt.xlim(lims)\n", "plt.ylim([-0.8, 0.8])\n", "plt.text(-2.57, -0.75, 'St. dev: %.2f mag' % ml_stds[X_columns.index(var)])\n", "\n", "plt.savefig('CEP-ML-V_M0.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Significance testing" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "M 4.8226885861573445e-28\n", "logR 1.2904685567980838e-25\n", "logL 7.410398478671702e-40\n", "Teff 2.768046944534012e-45\n", "I_M0 2.3024578991353531e-38\n", "V_M0 2.873842493932314e-41\n", "VI 4.765730830885012e-46\n", "W 1.8762776320162059e-28\n" ] } ], "source": [ "# (neural network with log P and lightcurve) vs (linear model with log P) with the Wilcoxon test \n", "\n", "for name in X_columns: \n", " ml_err = abs(DF[name] - ml_pred[:,X_columns.index(name)])\n", " lm_err = abs(DF[name] - lm_pred[:,X_columns.index(name)])\n", " print(name, sp.stats.wilcoxon(lm_err, ml_err).pvalue)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "M 9.64E-05\n", "logR 4.37E-03\n", "logL 3.03E-06\n", "Teff 6.29E-06\n", "I_M0 3.67E-06\n", "V_M0 4.78E-06\n", "VI 4.82E-06\n", "W 1.57E-04\n" ] } ], "source": [ "# (neural network with log P and lightcurve) vs (linear model with log P) with 5x2 cv test \n", "\n", "np.random.seed(0) \n", "\n", "ml = TransformedTargetRegressor(regressor=Pipeline(\n", " [('scaler', RobustScaler()), \n", " ('mlp', MLPRegressor(hidden_layer_sizes=(100, 100), \n", " max_iter=2000, activation='relu', solver='lbfgs', tol=1e-7))]),\n", " transformer=RobustScaler())\n", "lm = LinearRegression()\n", "\n", "first_p1 = 0 \n", "s2s = []\n", "\n", "for ii in range(5):\n", " ml_scores = []\n", " lm_scores = []\n", " \n", " cv = ShuffleSplit(n_splits=2, random_state=ii, train_size=0.5, test_size=0.5)\n", " \n", " for train_index, test_index in cv.split(DF):\n", " ml.fit(DF.iloc[train_index][y_columns], DF.iloc[train_index][X_columns])\n", " lm.fit(DF.iloc[train_index][['logP']], DF.iloc[train_index][X_columns])\n", " \n", " ml_predict = ml.predict(DF.iloc[test_index][y_columns])\n", " lm_predict = lm.predict(DF.iloc[test_index][['logP']])\n", " \n", " ml_scores_ = []\n", " lm_scores_ = []\n", " \n", " for idx, name in enumerate(X_columns):\n", " SS_tot = np.sum((DF.iloc[test_index][name] - DF.iloc[test_index][name].mean())**2)\n", " \n", " ml_SS_res = np.sum((ml_predict[:,idx] - DF.iloc[test_index][name].values)**2)\n", " ml_R2 = 1-ml_SS_res/SS_tot\n", " #ml_scores_ += [ml_R2]\n", " ml_scores_ += [ml_SS_res]\n", " \n", " lm_SS_res = np.sum((lm_predict[:,idx] - DF.iloc[test_index][name].values)**2)\n", " lm_R2 = 1-lm_SS_res/SS_tot\n", " #lm_scores_ += [lm_R2]\n", " lm_scores_ += [lm_SS_res]\n", " \n", " ml_scores += [ml_scores_]\n", " lm_scores += [lm_scores_]\n", " \n", " ml_scores = np.array(ml_scores)\n", " lm_scores = np.array(lm_scores)\n", " \n", " p1 = ml_scores[0,:] - lm_scores[0,:]\n", " p2 = ml_scores[1,:] - lm_scores[1,:]\n", " p_bar = (p1 + p2)/2\n", " s2 = (p1 - p_bar)**2 + (p2 - p_bar)**2\n", " \n", " if ii == 0:\n", " first_p1 = p1\n", " s2s += [s2]\n", "\n", "first_p1 = np.array(first_p1)\n", "s2s = np.array(s2s)\n", "\n", "for idx, name in enumerate(X_columns):\n", " p = stats.t.sf(np.abs(first_p1[idx]) / np.sqrt(1/5. * sum(s2s[:,idx])), 5)*2.\n", " print(name, '%.2E' % p) # '%.10f' % p)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "M True 4.1581837797536337e-13\n", "logR True 3.63728908382849e-14\n", "logL True 6.160719974907984e-21\n", "Teff True 5.654911569738892e-24\n", "I_M0 True 5.818796617528765e-20\n", "V_M0 True 3.652754351987831e-21\n", "VI True 2.108630817227543e-23\n", "W True 6.818718841112479e-14\n" ] } ], "source": [ "# (neural network with log P and lightcurve) vs (linear model with log P) with Wilcoxon signed-rank test \n", "\n", "np.random.seed(0) \n", "\n", "ml = TransformedTargetRegressor(regressor=Pipeline(\n", " [('scaler', RobustScaler()), \n", " ('mlp', MLPRegressor(hidden_layer_sizes=(100, 100), \n", " max_iter=2000, activation='relu', solver='lbfgs', tol=1e-7))]),\n", " transformer=RobustScaler())\n", "lm = LinearRegression()\n", "\n", "cv = ShuffleSplit(n_splits=2, random_state=0, train_size=0.5, test_size=0.5)\n", "train_set, test_set = list(cv.split(DF))[0]\n", "\n", "ml.fit(DF.iloc[train_set][y_columns], DF.iloc[train_set][X_columns])\n", "lm.fit(DF.iloc[train_set][['logP']], DF.iloc[train_set][X_columns])\n", "\n", "ml_predict = ml.predict(DF.iloc[test_set][y_columns])\n", "lm_predict = lm.predict(DF.iloc[test_set][['logP']])\n", "\n", "for idx, name in enumerate(X_columns):\n", " ml_SE = (ml_predict[:,idx] - DF.iloc[test_set][name].values)**2\n", " lm_SE = (lm_predict[:,idx] - DF.iloc[test_set][name].values)**2\n", " \n", " wil = sp.stats.wilcoxon(ml_SE, lm_SE)\n", " print(name, ml_SE.mean() < lm_SE.mean(), wil.pvalue/2.) # one sided test \n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "M 3.29E-04\n", "logR 2.94E-03\n", "logL 3.87E-04\n", "Teff 3.76E-04\n", "I_M0 6.87E-04\n", "V_M0 5.52E-04\n", "VI 2.97E-04\n", "W 4.23E-04\n" ] } ], "source": [ "# (neural network with log P and lightcurve) vs (linear model with log P and lightcurve) with 5x2cv test \n", "\n", "np.random.seed(0) \n", "\n", "ml = TransformedTargetRegressor(regressor=Pipeline(\n", " [('scaler', RobustScaler()), \n", " ('mlp', MLPRegressor(hidden_layer_sizes=(100, 100), \n", " max_iter=2000, activation='relu', solver='lbfgs', tol=1e-7))]),\n", " transformer=RobustScaler())\n", "lm = LinearRegression()\n", "\n", "first_p1 = 0 \n", "s2s = []\n", "\n", "for ii in range(5):\n", " ml_scores = []\n", " lm_scores = []\n", " \n", " cv = ShuffleSplit(n_splits=2, random_state=ii, train_size=0.5, test_size=0.5)\n", " \n", " for train_index, test_index in cv.split(DF):\n", " ml.fit(DF.iloc[train_index][y_columns], DF.iloc[train_index][X_columns])\n", " lm.fit(DF.iloc[train_index][y_columns], DF.iloc[train_index][X_columns])\n", " \n", " ml_predict = ml.predict(DF.iloc[test_index][y_columns])\n", " lm_predict = lm.predict(DF.iloc[test_index][y_columns])\n", " \n", " ml_scores_ = []\n", " lm_scores_ = []\n", " \n", " for idx, name in enumerate(X_columns):\n", " SS_tot = np.sum((DF.iloc[test_index][name] - DF.iloc[test_index][name].mean())**2)\n", " \n", " ml_SS_res = np.sum((ml_predict[:,idx] - DF.iloc[test_index][name].values)**2)\n", " ml_R2 = 1-ml_SS_res/SS_tot\n", " #ml_scores_ += [ml_R2]\n", " ml_scores_ += [ml_SS_res]\n", " \n", " lm_SS_res = np.sum((lm_predict[:,idx] - DF.iloc[test_index][name].values)**2)\n", " lm_R2 = 1-lm_SS_res/SS_tot\n", " #lm_scores_ += [lm_R2]\n", " lm_scores_ += [lm_SS_res]\n", " \n", " ml_scores += [ml_scores_]\n", " lm_scores += [lm_scores_]\n", " \n", " ml_scores = np.array(ml_scores)\n", " lm_scores = np.array(lm_scores)\n", " \n", " p1 = ml_scores[0,:] - lm_scores[0,:]\n", " p2 = ml_scores[1,:] - lm_scores[1,:]\n", " p_bar = (p1 + p2)/2\n", " s2 = (p1 - p_bar)**2 + (p2 - p_bar)**2\n", " \n", " if ii == 0:\n", " first_p1 = p1\n", " s2s += [s2]\n", "\n", "first_p1 = np.array(first_p1)\n", "s2s = np.array(s2s)\n", "\n", "for idx, name in enumerate(X_columns):\n", " p = stats.t.sf(np.abs(first_p1[idx]) / np.sqrt(1/5. * sum(s2s[:,idx])), 5)/2. # one sided test \n", " print(name, '%.2E' % p)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "M True 3.6221348278706677e-12\n", "logR True 5.371970878763796e-13\n", "logL True 3.3695494986483773e-16\n", "Teff True 1.1229376543350066e-18\n", "I_M0 True 1.880937254410796e-15\n", "V_M0 True 2.497344286221803e-16\n", "VI True 5.0889774862789716e-18\n", "W True 8.964825529966717e-12\n" ] } ], "source": [ "# (neural network with log P and lightcurve) vs (linear model with log P and lightcurve) with Wilcoxon signed-rank test \n", "\n", "np.random.seed(0) \n", "\n", "ml = TransformedTargetRegressor(regressor=Pipeline(\n", " [('scaler', RobustScaler()), \n", " ('mlp', MLPRegressor(hidden_layer_sizes=(100, 100), \n", " max_iter=2000, activation='relu', solver='lbfgs', tol=1e-7))]),\n", " transformer=RobustScaler())\n", "lm = LinearRegression()\n", "\n", "cv = ShuffleSplit(n_splits=2, random_state=0, train_size=0.5, test_size=0.5)\n", "train_set, test_set = list(cv.split(DF))[0]\n", "\n", "ml.fit(DF.iloc[train_set][y_columns], DF.iloc[train_set][X_columns])\n", "lm.fit(DF.iloc[train_set][y_columns], DF.iloc[train_set][X_columns])\n", "\n", "ml_predict = ml.predict(DF.iloc[test_set][y_columns])\n", "lm_predict = lm.predict(DF.iloc[test_set][y_columns])\n", "\n", "for idx, name in enumerate(X_columns):\n", " ml_SE = (ml_predict[:,idx] - DF.iloc[test_set][name].values)**2\n", " lm_SE = (lm_predict[:,idx] - DF.iloc[test_set][name].values)**2\n", " \n", " wil = sp.stats.wilcoxon(ml_SE, lm_SE)\n", " print(name, ml_SE.mean() < lm_SE.mean(), wil.pvalue/2.) # one sided test \n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now train on all models and run on real data " ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None,\n", " normalize=False)" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.random.seed(0) \n", "\n", "ml = TransformedTargetRegressor(regressor=Pipeline(\n", " [('scaler', RobustScaler()), \n", " ('mlp', MLPRegressor(hidden_layer_sizes=(100, 100), \n", " max_iter=2000, activation='relu', solver='lbfgs', tol=1e-7))]),\n", " transformer=RobustScaler())\n", "lm = LinearRegression()\n", "\n", "ml.fit(DF[y_columns], DF[X_columns])\n", "lm.fit(DF[['logP']], DF[X_columns])" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['Cepheids.ann']" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import joblib\n", "joblib.dump(ml, 'Cepheids.ann')" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "logP 1.267723\n", "I_Amplitude 0.949500\n", "I_Skewness 4.636500\n", "I_acuteness 1.587500\n", "V_Amplitude 1.509000\n", "V_Skewness 5.008500\n", "V_acuteness 2.047500\n", "I_A1 0.341895\n", "I_A2 0.129675\n", "I_A3 0.077520\n", "V_A1 0.518150\n", "V_A2 0.202490\n", "V_A3 0.120370\n", "Name: 0.95, dtype: float64 \n", "\n", " logP 0.553626\n", "I_Amplitude 0.103000\n", "I_Skewness 0.609000\n", "I_acuteness 0.391500\n", "V_Amplitude 0.159000\n", "V_Skewness 0.722500\n", "V_acuteness 0.454500\n", "I_A1 0.044220\n", "I_A2 0.010055\n", "I_A3 0.002625\n", "V_A1 0.073965\n", "V_A2 0.016170\n", "V_A3 0.004420\n", "Name: 0.05, dtype: float64\n" ] } ], "source": [ "maxs = DF[y_columns].quantile(0.95)\n", "mins = DF[y_columns].quantile(0.05)\n", "print(maxs, '\\n\\n', mins)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "M 7.500000\n", "logR 2.112889\n", "logL 3.830000\n", "Teff 6100.000000\n", "I_M0 -3.367150\n", "V_M0 -2.686910\n", "VI 1.122720\n", "W -4.381439\n", "dtype: float64 \n", "\n", " M 4.600000\n", "logR 1.477102\n", "logL 3.020000\n", "Teff 4600.000000\n", "I_M0 -5.530710\n", "V_M0 -4.765800\n", "VI 0.595510\n", "W -7.256976\n", "dtype: float64\n" ] } ], "source": [ "X_maxs = DF[X_columns].max()\n", "X_mins = DF[X_columns].min()\n", "print(X_maxs, '\\n\\n', X_mins)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "scrolled": true }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "c9cc4510a77b4f0aa944a0b0a89ed59a", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(IntProgress(value=0, max=2132), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "star_names = []\n", "ests = []\n", "e_ests = []\n", "logPs = []\n", "\n", "lm_ests = []\n", "e_lm_ests = []\n", "\n", "LMC_CEP_dir = '/scratch/seismo/bellinger/asteroseismology/regression/perturb/LMC_CEP'\n", "for star_filename in tqdm(os.listdir(LMC_CEP_dir)):\n", " star_name = star_filename.split('_')[0]\n", " star_data = pd.read_table(os.path.join(LMC_CEP_dir, star_filename), sep='\\s+')\n", " star_data['Period'] = np.log10(star_data['Period'])\n", " star_data.rename(columns={'Period':'logP'}, inplace=True)\n", " \n", " if np.any(star_data[y_columns] >= maxs) or np.any(star_data[y_columns] <= mins):\n", " #print('Skipping', star_name)\n", " continue \n", " \n", " res = ml.predict(star_data[y_columns])\n", " \n", " if np.any([res_i >= X_maxs for res_i in res]) or \\\n", " np.any([res_i <= X_mins for res_i in res]):\n", " #print('Skipping', star_name)\n", " continue\n", " \n", " ests += [res[0]]\n", " e_ests += [res.std(axis=0)]\n", " \n", " lm_res = lm.predict(star_data[['logP']])\n", " lm_ests += [lm_res[0]]\n", " e_lm_ests += [lm_res.std(axis=0)]\n", " \n", " star_names += [star_name]\n", " logPs += [star_data['logP'].iloc[0]]\n", "\n", "logPs = np.array(logPs)\n", "\n", "ests = np.array(ests)\n", "e_ests = np.array(e_ests)\n", "\n", "lm_ests = np.array(lm_ests)\n", "e_lm_ests = np.array(e_lm_ests)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(325, 8)" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ests.shape" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "e_ests_ = np.array([np.sqrt(e_ests[ii]**2 + np.array(ml_stds)**2) \n", " for ii in range(len(e_ests))])" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "ests_ = np.vstack(chain.from_iterable(((ests[:,ii], e_ests_[:,ii]) for ii in range(ests.shape[1])))).T" ] }, { "cell_type": "code", "execution_count": 43, "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</th>\n", " <th>M</th>\n", " <th>e_M</th>\n", " <th>logR</th>\n", " <th>e_logR</th>\n", " <th>logL</th>\n", " <th>e_logL</th>\n", " <th>Teff</th>\n", " <th>e_Teff</th>\n", " <th>I_M0</th>\n", " <th>e_I_M0</th>\n", " <th>V_M0</th>\n", " <th>e_V_M0</th>\n", " <th>VI</th>\n", " <th>e_VI</th>\n", " <th>W</th>\n", " <th>e_W</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>OGLE-LMC-CEP-0033</td>\n", " <td>5.981732</td>\n", " <td>0.390032</td>\n", " <td>1.756617</td>\n", " <td>0.014038</td>\n", " <td>3.513580</td>\n", " <td>0.057473</td>\n", " <td>5784.480902</td>\n", " <td>137.084847</td>\n", " <td>-4.660956</td>\n", " <td>0.132794</td>\n", " <td>-3.963571</td>\n", " <td>0.174257</td>\n", " <td>0.700211</td>\n", " <td>0.044123</td>\n", " <td>-5.748440</td>\n", " <td>0.082892</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>OGLE-LMC-CEP-0050</td>\n", " <td>6.166502</td>\n", " <td>0.399251</td>\n", " <td>1.780000</td>\n", " <td>0.013875</td>\n", " <td>3.541317</td>\n", " <td>0.058653</td>\n", " <td>5719.021219</td>\n", " <td>139.354356</td>\n", " <td>-4.744733</td>\n", " <td>0.133739</td>\n", " <td>-4.020167</td>\n", " <td>0.177962</td>\n", " <td>0.720711</td>\n", " <td>0.045507</td>\n", " <td>-5.862415</td>\n", " <td>0.082405</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>OGLE-LMC-CEP-0057</td>\n", " <td>6.871249</td>\n", " <td>0.398144</td>\n", " <td>1.861168</td>\n", " <td>0.011742</td>\n", " <td>3.693657</td>\n", " <td>0.044538</td>\n", " <td>5684.717505</td>\n", " <td>110.927487</td>\n", " <td>-5.148841</td>\n", " <td>0.101086</td>\n", " <td>-4.423182</td>\n", " <td>0.131607</td>\n", " <td>0.721185</td>\n", " <td>0.034501</td>\n", " <td>-6.260633</td>\n", " <td>0.066180</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>OGLE-LMC-CEP-0078</td>\n", " <td>5.699958</td>\n", " <td>0.366346</td>\n", " <td>1.749439</td>\n", " <td>0.011992</td>\n", " <td>3.493068</td>\n", " <td>0.045377</td>\n", " <td>5763.870880</td>\n", " <td>109.680605</td>\n", " <td>-4.608432</td>\n", " <td>0.103839</td>\n", " <td>-3.901637</td>\n", " <td>0.134257</td>\n", " <td>0.708586</td>\n", " <td>0.034162</td>\n", " <td>-5.707185</td>\n", " <td>0.068343</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>OGLE-LMC-CEP-0103</td>\n", " <td>6.330912</td>\n", " <td>0.403360</td>\n", " <td>1.760601</td>\n", " <td>0.013788</td>\n", " <td>3.570397</td>\n", " <td>0.048609</td>\n", " <td>5941.385137</td>\n", " <td>109.314158</td>\n", " <td>-4.794215</td>\n", " <td>0.111991</td>\n", " <td>-4.144789</td>\n", " <td>0.141975</td>\n", " <td>0.647057</td>\n", " <td>0.034063</td>\n", " <td>-5.795697</td>\n", " <td>0.077433</td>\n", " </tr>\n", " <tr>\n", " <th>5</th>\n", " <td>OGLE-LMC-CEP-0107</td>\n", " <td>5.980849</td>\n", " <td>0.355053</td>\n", " <td>1.799100</td>\n", " <td>0.011692</td>\n", " <td>3.584044</td>\n", " <td>0.050546</td>\n", " <td>5732.983831</td>\n", " <td>122.383591</td>\n", " <td>-4.840953</td>\n", " <td>0.114402</td>\n", " <td>-4.120565</td>\n", " <td>0.150769</td>\n", " <td>0.720462</td>\n", " <td>0.038612</td>\n", " <td>-5.961329</td>\n", " <td>0.069967</td>\n", " </tr>\n", " <tr>\n", " <th>6</th>\n", " <td>OGLE-LMC-CEP-0123</td>\n", " <td>5.826094</td>\n", " <td>0.360087</td>\n", " <td>1.736962</td>\n", " <td>0.011951</td>\n", " <td>3.461769</td>\n", " <td>0.046147</td>\n", " <td>5738.516324</td>\n", " <td>111.949047</td>\n", " <td>-4.529634</td>\n", " <td>0.105788</td>\n", " <td>-3.816418</td>\n", " <td>0.137326</td>\n", " <td>0.716085</td>\n", " <td>0.035095</td>\n", " <td>-5.639910</td>\n", " <td>0.068627</td>\n", " </tr>\n", " <tr>\n", " <th>7</th>\n", " <td>OGLE-LMC-CEP-0155</td>\n", " <td>6.250097</td>\n", " <td>0.391777</td>\n", " <td>1.835071</td>\n", " <td>0.012150</td>\n", " <td>3.702338</td>\n", " <td>0.045001</td>\n", " <td>5870.056191</td>\n", " <td>109.880246</td>\n", " <td>-5.143550</td>\n", " <td>0.102843</td>\n", " <td>-4.480868</td>\n", " <td>0.132649</td>\n", " <td>0.665213</td>\n", " <td>0.034128</td>\n", " <td>-6.182993</td>\n", " <td>0.068784</td>\n", " </tr>\n", " <tr>\n", " <th>8</th>\n", " <td>OGLE-LMC-CEP-0158</td>\n", " <td>5.487512</td>\n", " <td>0.378884</td>\n", " <td>1.735524</td>\n", " <td>0.012837</td>\n", " <td>3.476436</td>\n", " <td>0.047695</td>\n", " <td>5801.943364</td>\n", " <td>111.430148</td>\n", " <td>-4.557389</td>\n", " <td>0.109506</td>\n", " <td>-3.861329</td>\n", " <td>0.140579</td>\n", " <td>0.698613</td>\n", " <td>0.034784</td>\n", " <td>-5.643501</td>\n", " <td>0.073200</td>\n", " </tr>\n", " <tr>\n", " <th>9</th>\n", " <td>OGLE-LMC-CEP-0162</td>\n", " <td>5.465754</td>\n", " <td>0.506745</td>\n", " <td>1.647071</td>\n", " <td>0.018590</td>\n", " <td>3.367102</td>\n", " <td>0.052835</td>\n", " <td>6015.969035</td>\n", " <td>108.031712</td>\n", " <td>-4.252390</td>\n", " <td>0.127329</td>\n", " <td>-3.626834</td>\n", " <td>0.153373</td>\n", " <td>0.629550</td>\n", " <td>0.033601</td>\n", " <td>-5.230378</td>\n", " <td>0.099812</td>\n", " </tr>\n", " <tr>\n", " <th>10</th>\n", " <td>OGLE-LMC-CEP-0169</td>\n", " <td>5.528907</td>\n", " <td>0.440518</td>\n", " <td>1.673293</td>\n", " <td>0.016346</td>\n", " <td>3.328034</td>\n", " <td>0.051738</td>\n", " <td>5707.637170</td>\n", " <td>111.208387</td>\n", " <td>-4.201153</td>\n", " <td>0.121787</td>\n", " <td>-3.473906</td>\n", " <td>0.150703</td>\n", " <td>0.723450</td>\n", " <td>0.034694</td>\n", " <td>-5.320069</td>\n", " <td>0.089202</td>\n", " </tr>\n", " <tr>\n", " <th>11</th>\n", " <td>OGLE-LMC-CEP-0177</td>\n", " <td>5.548326</td>\n", " <td>0.459980</td>\n", " <td>1.600906</td>\n", " <td>0.016786</td>\n", " <td>3.215232</td>\n", " <td>0.051782</td>\n", " <td>5841.181651</td>\n", " <td>108.523398</td>\n", " <td>-3.899994</td>\n", " <td>0.122690</td>\n", " <td>-3.216864</td>\n", " <td>0.151590</td>\n", " <td>0.687223</td>\n", " <td>0.033868</td>\n", " <td>-4.966730</td>\n", " <td>0.091349</td>\n", " </tr>\n", " <tr>\n", " <th>12</th>\n", " <td>OGLE-LMC-CEP-0189</td>\n", " <td>5.360901</td>\n", " <td>0.436592</td>\n", " <td>1.677614</td>\n", " <td>0.014538</td>\n", " <td>3.383387</td>\n", " <td>0.048328</td>\n", " <td>5870.029253</td>\n", " <td>108.519472</td>\n", " <td>-4.311477</td>\n", " <td>0.113080</td>\n", " <td>-3.632315</td>\n", " <td>0.141764</td>\n", " <td>0.679045</td>\n", " <td>0.033771</td>\n", " <td>-5.362733</td>\n", " <td>0.080284</td>\n", " </tr>\n", " <tr>\n", " <th>13</th>\n", " <td>OGLE-LMC-CEP-0212</td>\n", " <td>5.827662</td>\n", " <td>0.388543</td>\n", " <td>1.878070</td>\n", " <td>0.012839</td>\n", " <td>3.678507</td>\n", " <td>0.058507</td>\n", " <td>5512.321224</td>\n", " <td>136.168289</td>\n", " <td>-5.110928</td>\n", " <td>0.134717</td>\n", " <td>-4.306381</td>\n", " <td>0.175297</td>\n", " <td>0.796622</td>\n", " <td>0.043224</td>\n", " <td>-6.345276</td>\n", " <td>0.080668</td>\n", " </tr>\n", " <tr>\n", " <th>14</th>\n", " <td>OGLE-LMC-CEP-0250</td>\n", " <td>5.810384</td>\n", " <td>0.390116</td>\n", " <td>1.705167</td>\n", " <td>0.014125</td>\n", " <td>3.381746</td>\n", " <td>0.049315</td>\n", " <td>5676.234659</td>\n", " <td>110.116633</td>\n", " <td>-4.344498</td>\n", " <td>0.114007</td>\n", " <td>-3.614058</td>\n", " <td>0.143999</td>\n", " <td>0.729551</td>\n", " <td>0.034345</td>\n", " <td>-5.471039</td>\n", " <td>0.078992</td>\n", " </tr>\n", " <tr>\n", " <th>15</th>\n", " <td>OGLE-LMC-CEP-0264</td>\n", " <td>5.340560</td>\n", " <td>0.423963</td>\n", " <td>1.564663</td>\n", " <td>0.015050</td>\n", " <td>3.136247</td>\n", " <td>0.049791</td>\n", " <td>5836.566834</td>\n", " <td>108.575913</td>\n", " <td>-3.702632</td>\n", " <td>0.116724</td>\n", " <td>-3.017599</td>\n", " <td>0.146205</td>\n", " <td>0.691011</td>\n", " <td>0.033859</td>\n", " <td>-4.779438</td>\n", " <td>0.083818</td>\n", " </tr>\n", " <tr>\n", " <th>16</th>\n", " <td>OGLE-LMC-CEP-0269</td>\n", " <td>5.223341</td>\n", " <td>0.400990</td>\n", " <td>1.565511</td>\n", " <td>0.014293</td>\n", " <td>3.165140</td>\n", " <td>0.048471</td>\n", " <td>5913.272544</td>\n", " <td>108.283659</td>\n", " <td>-3.755813</td>\n", " <td>0.113094</td>\n", " <td>-3.089476</td>\n", " <td>0.142398</td>\n", " <td>0.671343</td>\n", " <td>0.033740</td>\n", " <td>-4.801272</td>\n", " <td>0.079445</td>\n", " </tr>\n", " <tr>\n", " <th>17</th>\n", " <td>OGLE-LMC-CEP-0291</td>\n", " <td>5.214949</td>\n", " <td>0.442964</td>\n", " <td>1.556525</td>\n", " <td>0.016287</td>\n", " <td>3.109353</td>\n", " <td>0.052164</td>\n", " <td>5790.705025</td>\n", " <td>108.936928</td>\n", " <td>-3.643970</td>\n", " <td>0.122596</td>\n", " <td>-2.942489</td>\n", " <td>0.151575</td>\n", " <td>0.705261</td>\n", " <td>0.033957</td>\n", " <td>-4.738173</td>\n", " <td>0.089745</td>\n", " </tr>\n", " <tr>\n", " <th>18</th>\n", " <td>OGLE-LMC-CEP-0306</td>\n", " <td>6.141272</td>\n", " <td>0.370203</td>\n", " <td>1.737548</td>\n", " <td>0.011800</td>\n", " <td>3.485621</td>\n", " <td>0.045800</td>\n", " <td>5818.700016</td>\n", " <td>110.334754</td>\n", " <td>-4.580542</td>\n", " <td>0.104712</td>\n", " <td>-3.888373</td>\n", " <td>0.135723</td>\n", " <td>0.692407</td>\n", " <td>0.034412</td>\n", " <td>-5.653477</td>\n", " <td>0.067836</td>\n", " </tr>\n", " <tr>\n", " <th>19</th>\n", " <td>OGLE-LMC-CEP-0316</td>\n", " <td>5.399814</td>\n", " <td>0.437950</td>\n", " <td>1.557504</td>\n", " <td>0.015657</td>\n", " <td>3.109774</td>\n", " <td>0.050749</td>\n", " <td>5786.677530</td>\n", " <td>108.652587</td>\n", " <td>-3.643539</td>\n", " <td>0.119598</td>\n", " <td>-2.943436</td>\n", " <td>0.148702</td>\n", " <td>0.705220</td>\n", " <td>0.033886</td>\n", " <td>-4.737486</td>\n", " <td>0.086755</td>\n", " </tr>\n", " <tr>\n", " <th>20</th>\n", " <td>OGLE-LMC-CEP-0329</td>\n", " <td>5.237083</td>\n", " <td>0.413132</td>\n", " <td>1.567480</td>\n", " <td>0.014386</td>\n", " <td>3.134955</td>\n", " <td>0.049245</td>\n", " <td>5797.709739</td>\n", " <td>108.553704</td>\n", " <td>-3.704776</td>\n", " <td>0.114282</td>\n", " <td>-3.008118</td>\n", " <td>0.143684</td>\n", " <td>0.701122</td>\n", " <td>0.033776</td>\n", " <td>-4.793327</td>\n", " <td>0.080557</td>\n", " </tr>\n", " <tr>\n", " <th>21</th>\n", " <td>OGLE-LMC-CEP-0356</td>\n", " <td>6.021884</td>\n", " <td>0.372840</td>\n", " <td>1.892691</td>\n", " <td>0.012304</td>\n", " <td>3.672953</td>\n", " <td>0.055787</td>\n", " <td>5424.543155</td>\n", " <td>129.241502</td>\n", " <td>-5.087434</td>\n", " <td>0.127832</td>\n", " <td>-4.253778</td>\n", " <td>0.166450</td>\n", " <td>0.838968</td>\n", " <td>0.040944</td>\n", " <td>-6.382608</td>\n", " <td>0.077124</td>\n", " </tr>\n", " <tr>\n", " <th>22</th>\n", " <td>OGLE-LMC-CEP-0377</td>\n", " <td>6.608692</td>\n", " <td>0.414287</td>\n", " <td>1.732983</td>\n", " <td>0.014289</td>\n", " <td>3.521981</td>\n", " <td>0.049051</td>\n", " <td>5953.413965</td>\n", " <td>110.958698</td>\n", " <td>-4.647231</td>\n", " <td>0.114633</td>\n", " <td>-3.996031</td>\n", " <td>0.144837</td>\n", " <td>0.648584</td>\n", " <td>0.034730</td>\n", " <td>-5.650205</td>\n", " <td>0.080014</td>\n", " </tr>\n", " <tr>\n", " <th>23</th>\n", " <td>OGLE-LMC-CEP-0458</td>\n", " <td>5.281688</td>\n", " <td>0.407069</td>\n", " <td>1.562998</td>\n", " <td>0.014325</td>\n", " <td>3.119723</td>\n", " <td>0.048912</td>\n", " <td>5783.798184</td>\n", " <td>108.395195</td>\n", " <td>-3.669420</td>\n", " <td>0.113737</td>\n", " <td>-2.967387</td>\n", " <td>0.143118</td>\n", " <td>0.706554</td>\n", " <td>0.033738</td>\n", " <td>-4.766181</td>\n", " <td>0.080090</td>\n", " </tr>\n", " <tr>\n", " <th>24</th>\n", " <td>OGLE-LMC-CEP-0482</td>\n", " <td>5.727776</td>\n", " <td>0.369432</td>\n", " <td>1.749335</td>\n", " <td>0.012144</td>\n", " <td>3.501535</td>\n", " <td>0.047825</td>\n", " <td>5783.424213</td>\n", " <td>114.584404</td>\n", " <td>-4.631902</td>\n", " <td>0.109061</td>\n", " <td>-3.929575</td>\n", " <td>0.141729</td>\n", " <td>0.700820</td>\n", " <td>0.036012</td>\n", " <td>-5.712972</td>\n", " <td>0.069977</td>\n", " </tr>\n", " <tr>\n", " <th>25</th>\n", " <td>OGLE-LMC-CEP-0492</td>\n", " <td>5.020713</td>\n", " <td>0.401435</td>\n", " <td>1.636063</td>\n", " <td>0.013508</td>\n", " <td>3.320696</td>\n", " <td>0.047238</td>\n", " <td>5934.848049</td>\n", " <td>108.239370</td>\n", " <td>-4.143013</td>\n", " <td>0.109388</td>\n", " <td>-3.483671</td>\n", " <td>0.138702</td>\n", " <td>0.660544</td>\n", " <td>0.033665</td>\n", " <td>-5.165452</td>\n", " <td>0.075554</td>\n", " </tr>\n", " <tr>\n", " <th>26</th>\n", " <td>OGLE-LMC-CEP-0505</td>\n", " <td>5.297052</td>\n", " <td>0.423142</td>\n", " <td>1.583592</td>\n", " <td>0.015286</td>\n", " <td>3.160552</td>\n", " <td>0.050114</td>\n", " <td>5777.273315</td>\n", " <td>108.396204</td>\n", " <td>-3.772481</td>\n", " <td>0.117093</td>\n", " <td>-3.066106</td>\n", " <td>0.146068</td>\n", " <td>0.709262</td>\n", " <td>0.033752</td>\n", " <td>-4.871374</td>\n", " <td>0.084179</td>\n", " </tr>\n", " <tr>\n", " <th>27</th>\n", " <td>OGLE-LMC-CEP-0520</td>\n", " <td>6.116985</td>\n", " <td>0.357136</td>\n", " <td>1.793759</td>\n", " <td>0.012131</td>\n", " <td>3.572909</td>\n", " <td>0.051777</td>\n", " <td>5728.852765</td>\n", " <td>121.591288</td>\n", " <td>-4.811805</td>\n", " <td>0.118213</td>\n", " <td>-4.096073</td>\n", " <td>0.154286</td>\n", " <td>0.719826</td>\n", " <td>0.038372</td>\n", " <td>-5.930786</td>\n", " <td>0.073430</td>\n", " </tr>\n", " <tr>\n", " <th>28</th>\n", " <td>OGLE-LMC-CEP-0542</td>\n", " <td>5.487110</td>\n", " <td>0.441655</td>\n", " <td>1.647855</td>\n", " <td>0.015728</td>\n", " <td>3.299480</td>\n", " <td>0.049094</td>\n", " <td>5788.135818</td>\n", " <td>108.023427</td>\n", " <td>-4.113048</td>\n", " <td>0.116194</td>\n", " <td>-3.408498</td>\n", " <td>0.144080</td>\n", " <td>0.703619</td>\n", " <td>0.033552</td>\n", " <td>-5.200917</td>\n", " <td>0.085542</td>\n", " </tr>\n", " <tr>\n", " <th>29</th>\n", " <td>OGLE-LMC-CEP-0561</td>\n", " <td>5.972216</td>\n", " <td>0.374926</td>\n", " <td>1.872249</td>\n", " <td>0.012086</td>\n", " <td>3.630625</td>\n", " <td>0.067437</td>\n", " <td>5414.643974</td>\n", " <td>165.521892</td>\n", " <td>-4.988641</td>\n", " <td>0.152511</td>\n", " <td>-4.163650</td>\n", " <td>0.201596</td>\n", " <td>0.827615</td>\n", " <td>0.051492</td>\n", " <td>-6.270989</td>\n", " <td>0.083603</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", " </tr>\n", " <tr>\n", " <th>295</th>\n", " <td>OGLE-LMC-CEP-4153</td>\n", " <td>5.840818</td>\n", " <td>0.353542</td>\n", " <td>1.794408</td>\n", " <td>0.011735</td>\n", " <td>3.557715</td>\n", " <td>0.048026</td>\n", " <td>5673.105028</td>\n", " <td>114.058821</td>\n", " <td>-4.781374</td>\n", " <td>0.109741</td>\n", " <td>-4.046425</td>\n", " <td>0.142773</td>\n", " <td>0.737870</td>\n", " <td>0.035679</td>\n", " <td>-5.928041</td>\n", " <td>0.069112</td>\n", " </tr>\n", " <tr>\n", " <th>296</th>\n", " <td>OGLE-LMC-CEP-4176</td>\n", " <td>5.858068</td>\n", " <td>0.352757</td>\n", " <td>1.780428</td>\n", " <td>0.011477</td>\n", " <td>3.562131</td>\n", " <td>0.046822</td>\n", " <td>5770.803045</td>\n", " <td>112.524011</td>\n", " <td>-4.787490</td>\n", " <td>0.106400</td>\n", " <td>-4.082022</td>\n", " <td>0.138313</td>\n", " <td>0.702135</td>\n", " <td>0.035280</td>\n", " <td>-5.874449</td>\n", " <td>0.066939</td>\n", " </tr>\n", " <tr>\n", " <th>297</th>\n", " <td>OGLE-LMC-CEP-4194</td>\n", " <td>5.867758</td>\n", " <td>0.373700</td>\n", " <td>1.774839</td>\n", " <td>0.012186</td>\n", " <td>3.558133</td>\n", " <td>0.048747</td>\n", " <td>5809.781229</td>\n", " <td>115.554813</td>\n", " <td>-4.772283</td>\n", " <td>0.110597</td>\n", " <td>-4.075753</td>\n", " <td>0.144085</td>\n", " <td>0.694995</td>\n", " <td>0.036264</td>\n", " <td>-5.853785</td>\n", " <td>0.070912</td>\n", " </tr>\n", " <tr>\n", " <th>298</th>\n", " <td>OGLE-LMC-CEP-4211</td>\n", " <td>5.988204</td>\n", " <td>0.354018</td>\n", " <td>1.788256</td>\n", " <td>0.011704</td>\n", " <td>3.568296</td>\n", " <td>0.048561</td>\n", " <td>5752.672642</td>\n", " <td>116.005497</td>\n", " <td>-4.803398</td>\n", " <td>0.110395</td>\n", " <td>-4.093041</td>\n", " <td>0.143961</td>\n", " <td>0.712956</td>\n", " <td>0.036298</td>\n", " <td>-5.910954</td>\n", " <td>0.069196</td>\n", " </tr>\n", " <tr>\n", " <th>299</th>\n", " <td>OGLE-LMC-CEP-4249</td>\n", " <td>5.439077</td>\n", " <td>0.458192</td>\n", " <td>1.578760</td>\n", " <td>0.016903</td>\n", " <td>3.188277</td>\n", " <td>0.052242</td>\n", " <td>5908.389470</td>\n", " <td>108.758928</td>\n", " <td>-3.822877</td>\n", " <td>0.124137</td>\n", " <td>-3.160218</td>\n", " <td>0.153196</td>\n", " <td>0.668875</td>\n", " <td>0.033980</td>\n", " <td>-4.865996</td>\n", " <td>0.092401</td>\n", " </tr>\n", " <tr>\n", " <th>300</th>\n", " <td>OGLE-LMC-CEP-4257</td>\n", " <td>5.182741</td>\n", " <td>0.431018</td>\n", " <td>1.585972</td>\n", " <td>0.015937</td>\n", " <td>3.222722</td>\n", " <td>0.050965</td>\n", " <td>5957.248740</td>\n", " <td>108.606825</td>\n", " <td>-3.893257</td>\n", " <td>0.120344</td>\n", " <td>-3.241180</td>\n", " <td>0.149290</td>\n", " <td>0.655313</td>\n", " <td>0.033925</td>\n", " <td>-4.912366</td>\n", " <td>0.087613</td>\n", " </tr>\n", " <tr>\n", " <th>301</th>\n", " <td>OGLE-LMC-CEP-4274</td>\n", " <td>5.462647</td>\n", " <td>0.445767</td>\n", " <td>1.653439</td>\n", " <td>0.015338</td>\n", " <td>3.316108</td>\n", " <td>0.048316</td>\n", " <td>5807.763804</td>\n", " <td>108.420563</td>\n", " <td>-4.156299</td>\n", " <td>0.112773</td>\n", " <td>-3.459070</td>\n", " <td>0.140357</td>\n", " <td>0.696064</td>\n", " <td>0.033624</td>\n", " <td>-5.235904</td>\n", " <td>0.082794</td>\n", " </tr>\n", " <tr>\n", " <th>302</th>\n", " <td>OGLE-LMC-CEP-4281</td>\n", " <td>5.340388</td>\n", " <td>0.446426</td>\n", " <td>1.658971</td>\n", " <td>0.015163</td>\n", " <td>3.332365</td>\n", " <td>0.048060</td>\n", " <td>5832.036830</td>\n", " <td>108.814164</td>\n", " <td>-4.192350</td>\n", " <td>0.112551</td>\n", " <td>-3.501848</td>\n", " <td>0.140470</td>\n", " <td>0.690884</td>\n", " <td>0.033760</td>\n", " <td>-5.264705</td>\n", " <td>0.082117</td>\n", " </tr>\n", " <tr>\n", " <th>303</th>\n", " <td>OGLE-LMC-CEP-4287</td>\n", " <td>5.793736</td>\n", " <td>0.449801</td>\n", " <td>1.714802</td>\n", " <td>0.016004</td>\n", " <td>3.429586</td>\n", " <td>0.051858</td>\n", " <td>5775.387942</td>\n", " <td>110.786713</td>\n", " <td>-4.445291</td>\n", " <td>0.121385</td>\n", " <td>-3.742566</td>\n", " <td>0.151172</td>\n", " <td>0.703409</td>\n", " <td>0.034693</td>\n", " <td>-5.531175</td>\n", " <td>0.087689</td>\n", " </tr>\n", " <tr>\n", " <th>304</th>\n", " <td>OGLE-LMC-CEP-4293</td>\n", " <td>5.492365</td>\n", " <td>0.449147</td>\n", " <td>1.592466</td>\n", " <td>0.016686</td>\n", " <td>3.209056</td>\n", " <td>0.051575</td>\n", " <td>5878.997746</td>\n", " <td>108.585078</td>\n", " <td>-3.877234</td>\n", " <td>0.122038</td>\n", " <td>-3.203930</td>\n", " <td>0.150807</td>\n", " <td>0.678308</td>\n", " <td>0.033884</td>\n", " <td>-4.932093</td>\n", " <td>0.090383</td>\n", " </tr>\n", " <tr>\n", " <th>305</th>\n", " <td>OGLE-LMC-CEP-4316</td>\n", " <td>5.319296</td>\n", " <td>0.355738</td>\n", " <td>1.742126</td>\n", " <td>0.012140</td>\n", " <td>3.453836</td>\n", " <td>0.048886</td>\n", " <td>5681.251473</td>\n", " <td>115.139574</td>\n", " <td>-4.526689</td>\n", " <td>0.111408</td>\n", " <td>-3.800150</td>\n", " <td>0.144114</td>\n", " <td>0.728685</td>\n", " <td>0.036143</td>\n", " <td>-5.654391</td>\n", " <td>0.070567</td>\n", " </tr>\n", " <tr>\n", " <th>306</th>\n", " <td>OGLE-LMC-CEP-4317</td>\n", " <td>6.067925</td>\n", " <td>0.373260</td>\n", " <td>1.844272</td>\n", " <td>0.012223</td>\n", " <td>3.671292</td>\n", " <td>0.056455</td>\n", " <td>5704.296014</td>\n", " <td>135.006430</td>\n", " <td>-5.077455</td>\n", " <td>0.130387</td>\n", " <td>-4.350499</td>\n", " <td>0.169925</td>\n", " <td>0.723217</td>\n", " <td>0.043282</td>\n", " <td>-6.206211</td>\n", " <td>0.076856</td>\n", " </tr>\n", " <tr>\n", " <th>307</th>\n", " <td>OGLE-LMC-CEP-4319</td>\n", " <td>5.800130</td>\n", " <td>0.398842</td>\n", " <td>1.706651</td>\n", " <td>0.014260</td>\n", " <td>3.416578</td>\n", " <td>0.048475</td>\n", " <td>5786.500997</td>\n", " <td>111.576645</td>\n", " <td>-4.409215</td>\n", " <td>0.112284</td>\n", " <td>-3.707509</td>\n", " <td>0.142398</td>\n", " <td>0.703287</td>\n", " <td>0.034861</td>\n", " <td>-5.500201</td>\n", " <td>0.078638</td>\n", " </tr>\n", " <tr>\n", " <th>308</th>\n", " <td>OGLE-LMC-CEP-4330</td>\n", " <td>5.330297</td>\n", " <td>0.396520</td>\n", " <td>1.634917</td>\n", " <td>0.013571</td>\n", " <td>3.267188</td>\n", " <td>0.046495</td>\n", " <td>5771.216637</td>\n", " <td>107.889030</td>\n", " <td>-4.036485</td>\n", " <td>0.107953</td>\n", " <td>-3.328429</td>\n", " <td>0.136795</td>\n", " <td>0.708039</td>\n", " <td>0.033490</td>\n", " <td>-5.132767</td>\n", " <td>0.075235</td>\n", " </tr>\n", " <tr>\n", " <th>309</th>\n", " <td>OGLE-LMC-CEP-4396</td>\n", " <td>5.481457</td>\n", " <td>0.437013</td>\n", " <td>1.613785</td>\n", " <td>0.015762</td>\n", " <td>3.232454</td>\n", " <td>0.050284</td>\n", " <td>5805.610560</td>\n", " <td>108.370159</td>\n", " <td>-3.948748</td>\n", " <td>0.118420</td>\n", " <td>-3.250918</td>\n", " <td>0.147182</td>\n", " <td>0.699603</td>\n", " <td>0.033765</td>\n", " <td>-5.031833</td>\n", " <td>0.086105</td>\n", " </tr>\n", " <tr>\n", " <th>310</th>\n", " <td>OGLE-LMC-CEP-4402</td>\n", " <td>5.875651</td>\n", " <td>0.354651</td>\n", " <td>1.788180</td>\n", " <td>0.011433</td>\n", " <td>3.571531</td>\n", " <td>0.048785</td>\n", " <td>5749.355273</td>\n", " <td>120.686002</td>\n", " <td>-4.816530</td>\n", " <td>0.109742</td>\n", " <td>-4.107320</td>\n", " <td>0.144842</td>\n", " <td>0.706930</td>\n", " <td>0.038068</td>\n", " <td>-5.911652</td>\n", " <td>0.067039</td>\n", " </tr>\n", " <tr>\n", " <th>311</th>\n", " <td>OGLE-LMC-CEP-4409</td>\n", " <td>5.636537</td>\n", " <td>0.369849</td>\n", " <td>1.702387</td>\n", " <td>0.012642</td>\n", " <td>3.360739</td>\n", " <td>0.046654</td>\n", " <td>5630.602752</td>\n", " <td>108.162740</td>\n", " <td>-4.299324</td>\n", " <td>0.106931</td>\n", " <td>-3.550974</td>\n", " <td>0.136734</td>\n", " <td>0.745008</td>\n", " <td>0.033653</td>\n", " <td>-5.445785</td>\n", " <td>0.071585</td>\n", " </tr>\n", " <tr>\n", " <th>312</th>\n", " <td>OGLE-LMC-CEP-4414</td>\n", " <td>5.853990</td>\n", " <td>0.400237</td>\n", " <td>1.682367</td>\n", " <td>0.013374</td>\n", " <td>3.362379</td>\n", " <td>0.046351</td>\n", " <td>5768.517908</td>\n", " <td>108.623317</td>\n", " <td>-4.277952</td>\n", " <td>0.106947</td>\n", " <td>-3.570380</td>\n", " <td>0.135905</td>\n", " <td>0.706007</td>\n", " <td>0.033722</td>\n", " <td>-5.371111</td>\n", " <td>0.074175</td>\n", " </tr>\n", " <tr>\n", " <th>313</th>\n", " <td>OGLE-LMC-CEP-4440</td>\n", " <td>5.423800</td>\n", " <td>0.396749</td>\n", " <td>1.629071</td>\n", " <td>0.013535</td>\n", " <td>3.256091</td>\n", " <td>0.046498</td>\n", " <td>5769.328847</td>\n", " <td>107.860387</td>\n", " <td>-4.008001</td>\n", " <td>0.107730</td>\n", " <td>-3.296252</td>\n", " <td>0.136519</td>\n", " <td>0.710061</td>\n", " <td>0.033478</td>\n", " <td>-5.105987</td>\n", " <td>0.074993</td>\n", " </tr>\n", " <tr>\n", " <th>314</th>\n", " <td>OGLE-LMC-CEP-4465</td>\n", " <td>5.335445</td>\n", " <td>0.430254</td>\n", " <td>1.567492</td>\n", " <td>0.015697</td>\n", " <td>3.135683</td>\n", " <td>0.050066</td>\n", " <td>5801.744938</td>\n", " <td>108.267175</td>\n", " <td>-3.702393</td>\n", " <td>0.117825</td>\n", " <td>-3.000760</td>\n", " <td>0.146715</td>\n", " <td>0.705030</td>\n", " <td>0.033744</td>\n", " <td>-4.795042</td>\n", " <td>0.085713</td>\n", " </tr>\n", " <tr>\n", " <th>315</th>\n", " <td>OGLE-LMC-CEP-4470</td>\n", " <td>5.353141</td>\n", " <td>0.442194</td>\n", " <td>1.577129</td>\n", " <td>0.016293</td>\n", " <td>3.181481</td>\n", " <td>0.051488</td>\n", " <td>5895.259448</td>\n", " <td>108.828612</td>\n", " <td>-3.808703</td>\n", " <td>0.121953</td>\n", " <td>-3.141582</td>\n", " <td>0.151200</td>\n", " <td>0.672580</td>\n", " <td>0.033991</td>\n", " <td>-4.856896</td>\n", " <td>0.089570</td>\n", " </tr>\n", " <tr>\n", " <th>316</th>\n", " <td>OGLE-LMC-CEP-4474</td>\n", " <td>5.457405</td>\n", " <td>0.456051</td>\n", " <td>1.662122</td>\n", " <td>0.015783</td>\n", " <td>3.333803</td>\n", " <td>0.049024</td>\n", " <td>5812.066895</td>\n", " <td>108.743552</td>\n", " <td>-4.200595</td>\n", " <td>0.114823</td>\n", " <td>-3.505129</td>\n", " <td>0.142242</td>\n", " <td>0.694569</td>\n", " <td>0.033736</td>\n", " <td>-5.278677</td>\n", " <td>0.085169</td>\n", " </tr>\n", " <tr>\n", " <th>317</th>\n", " <td>OGLE-LMC-CEP-4475</td>\n", " <td>5.313539</td>\n", " <td>0.404938</td>\n", " <td>1.584267</td>\n", " <td>0.014311</td>\n", " <td>3.170286</td>\n", " <td>0.048585</td>\n", " <td>5801.745285</td>\n", " <td>108.321130</td>\n", " <td>-3.791293</td>\n", " <td>0.113218</td>\n", " <td>-3.091693</td>\n", " <td>0.142506</td>\n", " <td>0.702613</td>\n", " <td>0.033724</td>\n", " <td>-4.880608</td>\n", " <td>0.079589</td>\n", " </tr>\n", " <tr>\n", " <th>318</th>\n", " <td>OGLE-LMC-CEP-4476</td>\n", " <td>5.390528</td>\n", " <td>0.456553</td>\n", " <td>1.654910</td>\n", " <td>0.015396</td>\n", " <td>3.340119</td>\n", " <td>0.048401</td>\n", " <td>5872.781626</td>\n", " <td>108.754571</td>\n", " <td>-4.202901</td>\n", " <td>0.113889</td>\n", " <td>-3.523501</td>\n", " <td>0.141532</td>\n", " <td>0.677572</td>\n", " <td>0.033775</td>\n", " <td>-5.254489</td>\n", " <td>0.083236</td>\n", " </tr>\n", " <tr>\n", " <th>319</th>\n", " <td>OGLE-LMC-CEP-4484</td>\n", " <td>5.213186</td>\n", " <td>0.430378</td>\n", " <td>1.647035</td>\n", " <td>0.015256</td>\n", " <td>3.274910</td>\n", " <td>0.049997</td>\n", " <td>5710.702515</td>\n", " <td>108.826781</td>\n", " <td>-4.067261</td>\n", " <td>0.116416</td>\n", " <td>-3.341477</td>\n", " <td>0.145289</td>\n", " <td>0.723262</td>\n", " <td>0.033844</td>\n", " <td>-5.184288</td>\n", " <td>0.083809</td>\n", " </tr>\n", " <tr>\n", " <th>320</th>\n", " <td>OGLE-LMC-CEP-4504</td>\n", " <td>5.313000</td>\n", " <td>0.414688</td>\n", " <td>1.594631</td>\n", " <td>0.014793</td>\n", " <td>3.208892</td>\n", " <td>0.048698</td>\n", " <td>5852.826370</td>\n", " <td>108.104109</td>\n", " <td>-3.878441</td>\n", " <td>0.113918</td>\n", " <td>-3.192993</td>\n", " <td>0.142975</td>\n", " <td>0.687920</td>\n", " <td>0.033657</td>\n", " <td>-4.944660</td>\n", " <td>0.081253</td>\n", " </tr>\n", " <tr>\n", " <th>321</th>\n", " <td>OGLE-LMC-CEP-4512</td>\n", " <td>6.109729</td>\n", " <td>0.361390</td>\n", " <td>1.793811</td>\n", " <td>0.013051</td>\n", " <td>3.569567</td>\n", " <td>0.058209</td>\n", " <td>5719.497818</td>\n", " <td>133.394190</td>\n", " <td>-4.809538</td>\n", " <td>0.133576</td>\n", " <td>-4.090534</td>\n", " <td>0.174047</td>\n", " <td>0.722550</td>\n", " <td>0.042394</td>\n", " <td>-5.929879</td>\n", " <td>0.081163</td>\n", " </tr>\n", " <tr>\n", " <th>322</th>\n", " <td>OGLE-LMC-CEP-4524</td>\n", " <td>5.377051</td>\n", " <td>0.419763</td>\n", " <td>1.603084</td>\n", " <td>0.015022</td>\n", " <td>3.203401</td>\n", " <td>0.049523</td>\n", " <td>5779.593970</td>\n", " <td>108.407770</td>\n", " <td>-3.877106</td>\n", " <td>0.116135</td>\n", " <td>-3.170269</td>\n", " <td>0.145171</td>\n", " <td>0.708462</td>\n", " <td>0.033767</td>\n", " <td>-4.972559</td>\n", " <td>0.082994</td>\n", " </tr>\n", " <tr>\n", " <th>323</th>\n", " <td>OGLE-LMC-CEP-4544</td>\n", " <td>4.861819</td>\n", " <td>0.355307</td>\n", " <td>1.752786</td>\n", " <td>0.011574</td>\n", " <td>3.439831</td>\n", " <td>0.046230</td>\n", " <td>5574.115821</td>\n", " <td>113.031667</td>\n", " <td>-4.508021</td>\n", " <td>0.104629</td>\n", " <td>-3.746073</td>\n", " <td>0.136494</td>\n", " <td>0.761896</td>\n", " <td>0.035316</td>\n", " <td>-5.689614</td>\n", " <td>0.066140</td>\n", " </tr>\n", " <tr>\n", " <th>324</th>\n", " <td>OGLE-LMC-CEP-4600</td>\n", " <td>6.015916</td>\n", " <td>0.494931</td>\n", " <td>1.887622</td>\n", " <td>0.016501</td>\n", " <td>3.646813</td>\n", " <td>0.088076</td>\n", " <td>5364.440289</td>\n", " <td>201.291367</td>\n", " <td>-5.039300</td>\n", " <td>0.203981</td>\n", " <td>-4.179848</td>\n", " <td>0.268950</td>\n", " <td>0.852019</td>\n", " <td>0.065033</td>\n", " <td>-6.357413</td>\n", " <td>0.114394</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "<p>325 rows × 17 columns</p>\n", "</div>" ], "text/plain": [ " ID M e_M logR e_logR logL \\\n", "0 OGLE-LMC-CEP-0033 5.981732 0.390032 1.756617 0.014038 3.513580 \n", "1 OGLE-LMC-CEP-0050 6.166502 0.399251 1.780000 0.013875 3.541317 \n", "2 OGLE-LMC-CEP-0057 6.871249 0.398144 1.861168 0.011742 3.693657 \n", "3 OGLE-LMC-CEP-0078 5.699958 0.366346 1.749439 0.011992 3.493068 \n", "4 OGLE-LMC-CEP-0103 6.330912 0.403360 1.760601 0.013788 3.570397 \n", "5 OGLE-LMC-CEP-0107 5.980849 0.355053 1.799100 0.011692 3.584044 \n", "6 OGLE-LMC-CEP-0123 5.826094 0.360087 1.736962 0.011951 3.461769 \n", "7 OGLE-LMC-CEP-0155 6.250097 0.391777 1.835071 0.012150 3.702338 \n", "8 OGLE-LMC-CEP-0158 5.487512 0.378884 1.735524 0.012837 3.476436 \n", "9 OGLE-LMC-CEP-0162 5.465754 0.506745 1.647071 0.018590 3.367102 \n", "10 OGLE-LMC-CEP-0169 5.528907 0.440518 1.673293 0.016346 3.328034 \n", "11 OGLE-LMC-CEP-0177 5.548326 0.459980 1.600906 0.016786 3.215232 \n", "12 OGLE-LMC-CEP-0189 5.360901 0.436592 1.677614 0.014538 3.383387 \n", "13 OGLE-LMC-CEP-0212 5.827662 0.388543 1.878070 0.012839 3.678507 \n", "14 OGLE-LMC-CEP-0250 5.810384 0.390116 1.705167 0.014125 3.381746 \n", "15 OGLE-LMC-CEP-0264 5.340560 0.423963 1.564663 0.015050 3.136247 \n", "16 OGLE-LMC-CEP-0269 5.223341 0.400990 1.565511 0.014293 3.165140 \n", "17 OGLE-LMC-CEP-0291 5.214949 0.442964 1.556525 0.016287 3.109353 \n", "18 OGLE-LMC-CEP-0306 6.141272 0.370203 1.737548 0.011800 3.485621 \n", "19 OGLE-LMC-CEP-0316 5.399814 0.437950 1.557504 0.015657 3.109774 \n", "20 OGLE-LMC-CEP-0329 5.237083 0.413132 1.567480 0.014386 3.134955 \n", "21 OGLE-LMC-CEP-0356 6.021884 0.372840 1.892691 0.012304 3.672953 \n", "22 OGLE-LMC-CEP-0377 6.608692 0.414287 1.732983 0.014289 3.521981 \n", "23 OGLE-LMC-CEP-0458 5.281688 0.407069 1.562998 0.014325 3.119723 \n", "24 OGLE-LMC-CEP-0482 5.727776 0.369432 1.749335 0.012144 3.501535 \n", "25 OGLE-LMC-CEP-0492 5.020713 0.401435 1.636063 0.013508 3.320696 \n", "26 OGLE-LMC-CEP-0505 5.297052 0.423142 1.583592 0.015286 3.160552 \n", "27 OGLE-LMC-CEP-0520 6.116985 0.357136 1.793759 0.012131 3.572909 \n", "28 OGLE-LMC-CEP-0542 5.487110 0.441655 1.647855 0.015728 3.299480 \n", "29 OGLE-LMC-CEP-0561 5.972216 0.374926 1.872249 0.012086 3.630625 \n", ".. ... ... ... ... ... ... \n", "295 OGLE-LMC-CEP-4153 5.840818 0.353542 1.794408 0.011735 3.557715 \n", "296 OGLE-LMC-CEP-4176 5.858068 0.352757 1.780428 0.011477 3.562131 \n", "297 OGLE-LMC-CEP-4194 5.867758 0.373700 1.774839 0.012186 3.558133 \n", "298 OGLE-LMC-CEP-4211 5.988204 0.354018 1.788256 0.011704 3.568296 \n", "299 OGLE-LMC-CEP-4249 5.439077 0.458192 1.578760 0.016903 3.188277 \n", "300 OGLE-LMC-CEP-4257 5.182741 0.431018 1.585972 0.015937 3.222722 \n", "301 OGLE-LMC-CEP-4274 5.462647 0.445767 1.653439 0.015338 3.316108 \n", "302 OGLE-LMC-CEP-4281 5.340388 0.446426 1.658971 0.015163 3.332365 \n", "303 OGLE-LMC-CEP-4287 5.793736 0.449801 1.714802 0.016004 3.429586 \n", "304 OGLE-LMC-CEP-4293 5.492365 0.449147 1.592466 0.016686 3.209056 \n", "305 OGLE-LMC-CEP-4316 5.319296 0.355738 1.742126 0.012140 3.453836 \n", "306 OGLE-LMC-CEP-4317 6.067925 0.373260 1.844272 0.012223 3.671292 \n", "307 OGLE-LMC-CEP-4319 5.800130 0.398842 1.706651 0.014260 3.416578 \n", "308 OGLE-LMC-CEP-4330 5.330297 0.396520 1.634917 0.013571 3.267188 \n", "309 OGLE-LMC-CEP-4396 5.481457 0.437013 1.613785 0.015762 3.232454 \n", "310 OGLE-LMC-CEP-4402 5.875651 0.354651 1.788180 0.011433 3.571531 \n", "311 OGLE-LMC-CEP-4409 5.636537 0.369849 1.702387 0.012642 3.360739 \n", "312 OGLE-LMC-CEP-4414 5.853990 0.400237 1.682367 0.013374 3.362379 \n", "313 OGLE-LMC-CEP-4440 5.423800 0.396749 1.629071 0.013535 3.256091 \n", "314 OGLE-LMC-CEP-4465 5.335445 0.430254 1.567492 0.015697 3.135683 \n", "315 OGLE-LMC-CEP-4470 5.353141 0.442194 1.577129 0.016293 3.181481 \n", "316 OGLE-LMC-CEP-4474 5.457405 0.456051 1.662122 0.015783 3.333803 \n", "317 OGLE-LMC-CEP-4475 5.313539 0.404938 1.584267 0.014311 3.170286 \n", "318 OGLE-LMC-CEP-4476 5.390528 0.456553 1.654910 0.015396 3.340119 \n", "319 OGLE-LMC-CEP-4484 5.213186 0.430378 1.647035 0.015256 3.274910 \n", "320 OGLE-LMC-CEP-4504 5.313000 0.414688 1.594631 0.014793 3.208892 \n", "321 OGLE-LMC-CEP-4512 6.109729 0.361390 1.793811 0.013051 3.569567 \n", "322 OGLE-LMC-CEP-4524 5.377051 0.419763 1.603084 0.015022 3.203401 \n", "323 OGLE-LMC-CEP-4544 4.861819 0.355307 1.752786 0.011574 3.439831 \n", "324 OGLE-LMC-CEP-4600 6.015916 0.494931 1.887622 0.016501 3.646813 \n", "\n", " e_logL Teff e_Teff I_M0 e_I_M0 V_M0 \\\n", "0 0.057473 5784.480902 137.084847 -4.660956 0.132794 -3.963571 \n", "1 0.058653 5719.021219 139.354356 -4.744733 0.133739 -4.020167 \n", "2 0.044538 5684.717505 110.927487 -5.148841 0.101086 -4.423182 \n", "3 0.045377 5763.870880 109.680605 -4.608432 0.103839 -3.901637 \n", "4 0.048609 5941.385137 109.314158 -4.794215 0.111991 -4.144789 \n", "5 0.050546 5732.983831 122.383591 -4.840953 0.114402 -4.120565 \n", "6 0.046147 5738.516324 111.949047 -4.529634 0.105788 -3.816418 \n", "7 0.045001 5870.056191 109.880246 -5.143550 0.102843 -4.480868 \n", "8 0.047695 5801.943364 111.430148 -4.557389 0.109506 -3.861329 \n", "9 0.052835 6015.969035 108.031712 -4.252390 0.127329 -3.626834 \n", "10 0.051738 5707.637170 111.208387 -4.201153 0.121787 -3.473906 \n", "11 0.051782 5841.181651 108.523398 -3.899994 0.122690 -3.216864 \n", "12 0.048328 5870.029253 108.519472 -4.311477 0.113080 -3.632315 \n", "13 0.058507 5512.321224 136.168289 -5.110928 0.134717 -4.306381 \n", "14 0.049315 5676.234659 110.116633 -4.344498 0.114007 -3.614058 \n", "15 0.049791 5836.566834 108.575913 -3.702632 0.116724 -3.017599 \n", "16 0.048471 5913.272544 108.283659 -3.755813 0.113094 -3.089476 \n", "17 0.052164 5790.705025 108.936928 -3.643970 0.122596 -2.942489 \n", "18 0.045800 5818.700016 110.334754 -4.580542 0.104712 -3.888373 \n", "19 0.050749 5786.677530 108.652587 -3.643539 0.119598 -2.943436 \n", "20 0.049245 5797.709739 108.553704 -3.704776 0.114282 -3.008118 \n", "21 0.055787 5424.543155 129.241502 -5.087434 0.127832 -4.253778 \n", "22 0.049051 5953.413965 110.958698 -4.647231 0.114633 -3.996031 \n", "23 0.048912 5783.798184 108.395195 -3.669420 0.113737 -2.967387 \n", "24 0.047825 5783.424213 114.584404 -4.631902 0.109061 -3.929575 \n", "25 0.047238 5934.848049 108.239370 -4.143013 0.109388 -3.483671 \n", "26 0.050114 5777.273315 108.396204 -3.772481 0.117093 -3.066106 \n", "27 0.051777 5728.852765 121.591288 -4.811805 0.118213 -4.096073 \n", "28 0.049094 5788.135818 108.023427 -4.113048 0.116194 -3.408498 \n", "29 0.067437 5414.643974 165.521892 -4.988641 0.152511 -4.163650 \n", ".. ... ... ... ... ... ... \n", "295 0.048026 5673.105028 114.058821 -4.781374 0.109741 -4.046425 \n", "296 0.046822 5770.803045 112.524011 -4.787490 0.106400 -4.082022 \n", "297 0.048747 5809.781229 115.554813 -4.772283 0.110597 -4.075753 \n", "298 0.048561 5752.672642 116.005497 -4.803398 0.110395 -4.093041 \n", "299 0.052242 5908.389470 108.758928 -3.822877 0.124137 -3.160218 \n", "300 0.050965 5957.248740 108.606825 -3.893257 0.120344 -3.241180 \n", "301 0.048316 5807.763804 108.420563 -4.156299 0.112773 -3.459070 \n", "302 0.048060 5832.036830 108.814164 -4.192350 0.112551 -3.501848 \n", "303 0.051858 5775.387942 110.786713 -4.445291 0.121385 -3.742566 \n", "304 0.051575 5878.997746 108.585078 -3.877234 0.122038 -3.203930 \n", "305 0.048886 5681.251473 115.139574 -4.526689 0.111408 -3.800150 \n", "306 0.056455 5704.296014 135.006430 -5.077455 0.130387 -4.350499 \n", "307 0.048475 5786.500997 111.576645 -4.409215 0.112284 -3.707509 \n", "308 0.046495 5771.216637 107.889030 -4.036485 0.107953 -3.328429 \n", "309 0.050284 5805.610560 108.370159 -3.948748 0.118420 -3.250918 \n", "310 0.048785 5749.355273 120.686002 -4.816530 0.109742 -4.107320 \n", "311 0.046654 5630.602752 108.162740 -4.299324 0.106931 -3.550974 \n", "312 0.046351 5768.517908 108.623317 -4.277952 0.106947 -3.570380 \n", "313 0.046498 5769.328847 107.860387 -4.008001 0.107730 -3.296252 \n", "314 0.050066 5801.744938 108.267175 -3.702393 0.117825 -3.000760 \n", "315 0.051488 5895.259448 108.828612 -3.808703 0.121953 -3.141582 \n", "316 0.049024 5812.066895 108.743552 -4.200595 0.114823 -3.505129 \n", "317 0.048585 5801.745285 108.321130 -3.791293 0.113218 -3.091693 \n", "318 0.048401 5872.781626 108.754571 -4.202901 0.113889 -3.523501 \n", "319 0.049997 5710.702515 108.826781 -4.067261 0.116416 -3.341477 \n", "320 0.048698 5852.826370 108.104109 -3.878441 0.113918 -3.192993 \n", "321 0.058209 5719.497818 133.394190 -4.809538 0.133576 -4.090534 \n", "322 0.049523 5779.593970 108.407770 -3.877106 0.116135 -3.170269 \n", "323 0.046230 5574.115821 113.031667 -4.508021 0.104629 -3.746073 \n", "324 0.088076 5364.440289 201.291367 -5.039300 0.203981 -4.179848 \n", "\n", " e_V_M0 VI e_VI W e_W \n", "0 0.174257 0.700211 0.044123 -5.748440 0.082892 \n", "1 0.177962 0.720711 0.045507 -5.862415 0.082405 \n", "2 0.131607 0.721185 0.034501 -6.260633 0.066180 \n", "3 0.134257 0.708586 0.034162 -5.707185 0.068343 \n", "4 0.141975 0.647057 0.034063 -5.795697 0.077433 \n", "5 0.150769 0.720462 0.038612 -5.961329 0.069967 \n", "6 0.137326 0.716085 0.035095 -5.639910 0.068627 \n", "7 0.132649 0.665213 0.034128 -6.182993 0.068784 \n", "8 0.140579 0.698613 0.034784 -5.643501 0.073200 \n", "9 0.153373 0.629550 0.033601 -5.230378 0.099812 \n", "10 0.150703 0.723450 0.034694 -5.320069 0.089202 \n", "11 0.151590 0.687223 0.033868 -4.966730 0.091349 \n", "12 0.141764 0.679045 0.033771 -5.362733 0.080284 \n", "13 0.175297 0.796622 0.043224 -6.345276 0.080668 \n", "14 0.143999 0.729551 0.034345 -5.471039 0.078992 \n", "15 0.146205 0.691011 0.033859 -4.779438 0.083818 \n", "16 0.142398 0.671343 0.033740 -4.801272 0.079445 \n", "17 0.151575 0.705261 0.033957 -4.738173 0.089745 \n", "18 0.135723 0.692407 0.034412 -5.653477 0.067836 \n", "19 0.148702 0.705220 0.033886 -4.737486 0.086755 \n", "20 0.143684 0.701122 0.033776 -4.793327 0.080557 \n", "21 0.166450 0.838968 0.040944 -6.382608 0.077124 \n", "22 0.144837 0.648584 0.034730 -5.650205 0.080014 \n", "23 0.143118 0.706554 0.033738 -4.766181 0.080090 \n", "24 0.141729 0.700820 0.036012 -5.712972 0.069977 \n", "25 0.138702 0.660544 0.033665 -5.165452 0.075554 \n", "26 0.146068 0.709262 0.033752 -4.871374 0.084179 \n", "27 0.154286 0.719826 0.038372 -5.930786 0.073430 \n", "28 0.144080 0.703619 0.033552 -5.200917 0.085542 \n", "29 0.201596 0.827615 0.051492 -6.270989 0.083603 \n", ".. ... ... ... ... ... \n", "295 0.142773 0.737870 0.035679 -5.928041 0.069112 \n", "296 0.138313 0.702135 0.035280 -5.874449 0.066939 \n", "297 0.144085 0.694995 0.036264 -5.853785 0.070912 \n", "298 0.143961 0.712956 0.036298 -5.910954 0.069196 \n", "299 0.153196 0.668875 0.033980 -4.865996 0.092401 \n", "300 0.149290 0.655313 0.033925 -4.912366 0.087613 \n", "301 0.140357 0.696064 0.033624 -5.235904 0.082794 \n", "302 0.140470 0.690884 0.033760 -5.264705 0.082117 \n", "303 0.151172 0.703409 0.034693 -5.531175 0.087689 \n", "304 0.150807 0.678308 0.033884 -4.932093 0.090383 \n", "305 0.144114 0.728685 0.036143 -5.654391 0.070567 \n", "306 0.169925 0.723217 0.043282 -6.206211 0.076856 \n", "307 0.142398 0.703287 0.034861 -5.500201 0.078638 \n", "308 0.136795 0.708039 0.033490 -5.132767 0.075235 \n", "309 0.147182 0.699603 0.033765 -5.031833 0.086105 \n", "310 0.144842 0.706930 0.038068 -5.911652 0.067039 \n", "311 0.136734 0.745008 0.033653 -5.445785 0.071585 \n", "312 0.135905 0.706007 0.033722 -5.371111 0.074175 \n", "313 0.136519 0.710061 0.033478 -5.105987 0.074993 \n", "314 0.146715 0.705030 0.033744 -4.795042 0.085713 \n", "315 0.151200 0.672580 0.033991 -4.856896 0.089570 \n", "316 0.142242 0.694569 0.033736 -5.278677 0.085169 \n", "317 0.142506 0.702613 0.033724 -4.880608 0.079589 \n", "318 0.141532 0.677572 0.033775 -5.254489 0.083236 \n", "319 0.145289 0.723262 0.033844 -5.184288 0.083809 \n", "320 0.142975 0.687920 0.033657 -4.944660 0.081253 \n", "321 0.174047 0.722550 0.042394 -5.929879 0.081163 \n", "322 0.145171 0.708462 0.033767 -4.972559 0.082994 \n", "323 0.136494 0.761896 0.035316 -5.689614 0.066140 \n", "324 0.268950 0.852019 0.065033 -6.357413 0.114394 \n", "\n", "[325 rows x 17 columns]" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#ests_DF = pd.DataFrame(ests, columns=X_columns)\n", "ests_DF = pd.DataFrame(ests_, columns=list(chain.from_iterable(zip(X_columns, ['e_'+X_col for X_col in X_columns]))))\n", "ests_DF.insert(0, 'ID', star_names)\n", "ests_DF" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'\\\\begin{tabular}{lrrrrrrrrrrrrrrrr}\\n\\\\toprule\\n ID & M & e\\\\_M & logR & e\\\\_logR & logL & e\\\\_logL & Teff & e\\\\_Teff & I\\\\_M0 & e\\\\_I\\\\_M0 & V\\\\_M0 & e\\\\_V\\\\_M0 & VI & e\\\\_VI & W & e\\\\_W \\\\\\\\\\n\\\\midrule\\n OGLE-LMC-CEP-0050 & 6.166502 & 0.399251 & 1.780000 & 0.013875 & 3.541317 & 0.058653 & 5719.021219 & 139.354356 & -4.744733 & 0.133739 & -4.020167 & 0.177962 & 0.720711 & 0.045507 & -5.862415 & 0.082405 \\\\\\\\\\n OGLE-LMC-CEP-0057 & 6.871249 & 0.398144 & 1.861168 & 0.011742 & 3.693657 & 0.044538 & 5684.717505 & 110.927487 & -5.148841 & 0.101086 & -4.423182 & 0.131607 & 0.721185 & 0.034501 & -6.260633 & 0.066180 \\\\\\\\\\n OGLE-LMC-CEP-0078 & 5.699958 & 0.366346 & 1.749439 & 0.011992 & 3.493068 & 0.045377 & 5763.870880 & 109.680605 & -4.608432 & 0.103839 & -3.901637 & 0.134257 & 0.708586 & 0.034162 & -5.707185 & 0.068343 \\\\\\\\\\n OGLE-LMC-CEP-0103 & 6.330912 & 0.403360 & 1.760601 & 0.013788 & 3.570397 & 0.048609 & 5941.385137 & 109.314158 & -4.794215 & 0.111991 & -4.144789 & 0.141975 & 0.647057 & 0.034063 & -5.795697 & 0.077433 \\\\\\\\\\n OGLE-LMC-CEP-0107 & 5.980849 & 0.355053 & 1.799100 & 0.011692 & 3.584044 & 0.050546 & 5732.983831 & 122.383591 & -4.840953 & 0.114402 & -4.120565 & 0.150769 & 0.720462 & 0.038612 & -5.961329 & 0.069967 \\\\\\\\\\n OGLE-LMC-CEP-0123 & 5.826094 & 0.360087 & 1.736962 & 0.011951 & 3.461769 & 0.046147 & 5738.516324 & 111.949047 & -4.529634 & 0.105788 & -3.816418 & 0.137326 & 0.716085 & 0.035095 & -5.639910 & 0.068627 \\\\\\\\\\n OGLE-LMC-CEP-0155 & 6.250097 & 0.391777 & 1.835071 & 0.012150 & 3.702338 & 0.045001 & 5870.056191 & 109.880246 & -5.143550 & 0.102843 & -4.480868 & 0.132649 & 0.665213 & 0.034128 & -6.182993 & 0.068784 \\\\\\\\\\n OGLE-LMC-CEP-0158 & 5.487512 & 0.378884 & 1.735524 & 0.012837 & 3.476436 & 0.047695 & 5801.943364 & 111.430148 & -4.557389 & 0.109506 & -3.861329 & 0.140579 & 0.698613 & 0.034784 & -5.643501 & 0.073200 \\\\\\\\\\n OGLE-LMC-CEP-0162 & 5.465754 & 0.506745 & 1.647071 & 0.018590 & 3.367102 & 0.052835 & 6015.969035 & 108.031712 & -4.252390 & 0.127329 & -3.626834 & 0.153373 & 0.629550 & 0.033601 & -5.230378 & 0.099812 \\\\\\\\\\n\\\\bottomrule\\n\\\\end{tabular}\\n'" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ests_DF.iloc[1:10].to_latex(longtable=False, index=False)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "def signif(x, digits=6):\n", " if x == 0 or not isfinite(x):\n", " return x\n", " digits -= ceil(log10(abs(x)))\n", " rounded = round(x, digits)\n", " if rounded > 10:\n", " rounded = int(rounded)\n", " return rounded\n", "\n", "def formatter(val, unc):\n", " unc = str(signif(unc, 2))\n", " if len(unc) == 1:\n", " unc += '.0'\n", " if float(unc) < 10:\n", " if unc[-2] == '0' or (unc[-2] == '.' and unc[-3] == '0'):\n", " unc += '0'\n", " dec_places = len(unc.split('.')[1])\n", " val = str(val).split('.')\n", " val = val[0] + '.' + val[1][:dec_places]\n", " else:\n", " val = str(val).split('.')[0]\n", " if len(unc) > 2:\n", " val = val[:len(val) - len(unc) + 2] + '0'*(len(val) - len(unc))\n", " return [val, unc]\n" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0033 & 5.98 $\\pm$ 0.39 & 1.756 $\\pm$ 0.014 & 3.513 $\\pm$ 0.057 & 5780 $\\pm$ 140 & -4.66 $\\pm$ 0.13 & -3.96 $\\pm$ 0.17 & 0.700 $\\pm$ 0.044 & -5.748 $\\pm$ 0.083 \\\\\n", "0050 & 6.16 $\\pm$ 0.40 & 1.780 $\\pm$ 0.014 & 3.541 $\\pm$ 0.059 & 5710 $\\pm$ 140 & -4.74 $\\pm$ 0.13 & -4.02 $\\pm$ 0.18 & 0.720 $\\pm$ 0.046 & -5.862 $\\pm$ 0.082 \\\\\n", "0057 & 6.87 $\\pm$ 0.40 & 1.861 $\\pm$ 0.012 & 3.693 $\\pm$ 0.045 & 5680 $\\pm$ 110 & -5.14 $\\pm$ 0.10 & -4.42 $\\pm$ 0.13 & 0.721 $\\pm$ 0.035 & -6.260 $\\pm$ 0.066 \\\\\n", "0078 & 5.69 $\\pm$ 0.37 & 1.749 $\\pm$ 0.012 & 3.493 $\\pm$ 0.045 & 5760 $\\pm$ 110 & -4.60 $\\pm$ 0.10 & -3.90 $\\pm$ 0.13 & 0.708 $\\pm$ 0.034 & -5.707 $\\pm$ 0.068 \\\\\n", "0103 & 6.33 $\\pm$ 0.40 & 1.760 $\\pm$ 0.014 & 3.570 $\\pm$ 0.049 & 5940 $\\pm$ 110 & -4.79 $\\pm$ 0.11 & -4.14 $\\pm$ 0.14 & 0.647 $\\pm$ 0.034 & -5.795 $\\pm$ 0.077 \\\\\n", "0107 & 5.98 $\\pm$ 0.36 & 1.799 $\\pm$ 0.012 & 3.584 $\\pm$ 0.051 & 5730 $\\pm$ 120 & -4.84 $\\pm$ 0.11 & -4.12 $\\pm$ 0.15 & 0.720 $\\pm$ 0.039 & -5.961 $\\pm$ 0.070 \\\\\n", "0123 & 5.82 $\\pm$ 0.36 & 1.736 $\\pm$ 0.012 & 3.461 $\\pm$ 0.046 & 5730 $\\pm$ 110 & -4.52 $\\pm$ 0.11 & -3.81 $\\pm$ 0.14 & 0.716 $\\pm$ 0.035 & -5.639 $\\pm$ 0.069 \\\\\n", "0155 & 6.25 $\\pm$ 0.39 & 1.835 $\\pm$ 0.012 & 3.702 $\\pm$ 0.045 & 5870 $\\pm$ 110 & -5.14 $\\pm$ 0.10 & -4.48 $\\pm$ 0.13 & 0.665 $\\pm$ 0.034 & -6.182 $\\pm$ 0.069 \\\\\n", "0158 & 5.48 $\\pm$ 0.38 & 1.735 $\\pm$ 0.013 & 3.476 $\\pm$ 0.048 & 5800 $\\pm$ 110 & -4.55 $\\pm$ 0.11 & -3.86 $\\pm$ 0.14 & 0.698 $\\pm$ 0.035 & -5.643 $\\pm$ 0.073 \\\\\n", "0162 & 5.46 $\\pm$ 0.51 & 1.647 $\\pm$ 0.019 & 3.367 $\\pm$ 0.053 & 6010 $\\pm$ 110 & -4.25 $\\pm$ 0.13 & -3.62 $\\pm$ 0.15 & 0.629 $\\pm$ 0.034 & -5.23 $\\pm$ 0.10 \\\\\n" ] } ], "source": [ "for index, row in ests_DF.iloc[0:10].iterrows():\n", " out_str = row['ID'].split('-')[-1]\n", " \n", " rest = row[1:]\n", " for ii in range(len(rest) - 1):\n", " if ii % 2 != 0: # every other column contains the uncertainty \n", " continue\n", " \n", " val, unc = formatter(rest[ii], rest[ii+1])\n", " out_str += ' & ' + val + ' $\\pm$ ' + unc\n", " \n", " out_str += r' \\\\'\n", " \n", " print(out_str)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ID\tM\te_M\tlogR\te_logR\tlogL\te_logL\tTeff\te_Teff\tI_M0\te_I_M0\tV_M0\te_V_M0\tVI\te_VI\tW\te_W\n", "OGLE-LMC-CEP-0033\t5.98\t0.39\t1.756\t0.014\t3.513\t0.057\t5780\t140\t-4.66\t0.13\t-3.96\t0.17\t0.700\t0.044\t-5.748\t0.083\t\n", "OGLE-LMC-CEP-0050\t6.16\t0.40\t1.780\t0.014\t3.541\t0.059\t5710\t140\t-4.74\t0.13\t-4.02\t0.18\t0.720\t0.046\t-5.862\t0.082\t\n", "OGLE-LMC-CEP-0057\t6.87\t0.40\t1.861\t0.012\t3.693\t0.045\t5680\t110\t-5.14\t0.10\t-4.42\t0.13\t0.721\t0.035\t-6.260\t0.066\t\n", "OGLE-LMC-CEP-0078\t5.69\t0.37\t1.749\t0.012\t3.493\t0.045\t5760\t110\t-4.60\t0.10\t-3.90\t0.13\t0.708\t0.034\t-5.707\t0.068\t\n", "OGLE-LMC-CEP-0103\t6.33\t0.40\t1.760\t0.014\t3.570\t0.049\t5940\t110\t-4.79\t0.11\t-4.14\t0.14\t0.647\t0.034\t-5.795\t0.077\t\n", "OGLE-LMC-CEP-0107\t5.98\t0.36\t1.799\t0.012\t3.584\t0.051\t5730\t120\t-4.84\t0.11\t-4.12\t0.15\t0.720\t0.039\t-5.961\t0.070\t\n", "OGLE-LMC-CEP-0123\t5.82\t0.36\t1.736\t0.012\t3.461\t0.046\t5730\t110\t-4.52\t0.11\t-3.81\t0.14\t0.716\t0.035\t-5.639\t0.069\t\n", "OGLE-LMC-CEP-0155\t6.25\t0.39\t1.835\t0.012\t3.702\t0.045\t5870\t110\t-5.14\t0.10\t-4.48\t0.13\t0.665\t0.034\t-6.182\t0.069\t\n", "OGLE-LMC-CEP-0158\t5.48\t0.38\t1.735\t0.013\t3.476\t0.048\t5800\t110\t-4.55\t0.11\t-3.86\t0.14\t0.698\t0.035\t-5.643\t0.073\t\n", "OGLE-LMC-CEP-0162\t5.46\t0.51\t1.647\t0.019\t3.367\t0.053\t6010\t110\t-4.25\t0.13\t-3.62\t0.15\t0.629\t0.034\t-5.23\t0.10\t\n", "OGLE-LMC-CEP-0169\t5.52\t0.44\t1.673\t0.016\t3.328\t0.052\t5700\t110\t-4.20\t0.12\t-3.47\t0.15\t0.723\t0.035\t-5.320\t0.089\t\n", "OGLE-LMC-CEP-0177\t5.54\t0.46\t1.600\t0.017\t3.215\t0.052\t5840\t110\t-3.89\t0.12\t-3.21\t0.15\t0.687\t0.034\t-4.966\t0.091\t\n", "OGLE-LMC-CEP-0189\t5.36\t0.44\t1.677\t0.015\t3.383\t0.048\t5870\t110\t-4.31\t0.11\t-3.63\t0.14\t0.679\t0.034\t-5.362\t0.080\t\n", "OGLE-LMC-CEP-0212\t5.82\t0.39\t1.878\t0.013\t3.678\t0.059\t5510\t140\t-5.11\t0.13\t-4.30\t0.18\t0.796\t0.043\t-6.345\t0.081\t\n", "OGLE-LMC-CEP-0250\t5.81\t0.39\t1.705\t0.014\t3.381\t0.049\t5670\t110\t-4.34\t0.11\t-3.61\t0.14\t0.729\t0.034\t-5.471\t0.079\t\n", "OGLE-LMC-CEP-0264\t5.34\t0.42\t1.564\t0.015\t3.136\t0.050\t5830\t110\t-3.70\t0.12\t-3.01\t0.15\t0.691\t0.034\t-4.779\t0.084\t\n", "OGLE-LMC-CEP-0269\t5.22\t0.40\t1.565\t0.014\t3.165\t0.048\t5910\t110\t-3.75\t0.11\t-3.08\t0.14\t0.671\t0.034\t-4.801\t0.079\t\n", "OGLE-LMC-CEP-0291\t5.21\t0.44\t1.556\t0.016\t3.109\t0.052\t5790\t110\t-3.64\t0.12\t-2.94\t0.15\t0.705\t0.034\t-4.738\t0.090\t\n", "OGLE-LMC-CEP-0306\t6.14\t0.37\t1.737\t0.012\t3.485\t0.046\t5810\t110\t-4.58\t0.10\t-3.88\t0.14\t0.692\t0.034\t-5.653\t0.068\t\n", "OGLE-LMC-CEP-0316\t5.39\t0.44\t1.557\t0.016\t3.109\t0.051\t5780\t110\t-3.64\t0.12\t-2.94\t0.15\t0.705\t0.034\t-4.737\t0.087\t\n", "OGLE-LMC-CEP-0329\t5.23\t0.41\t1.567\t0.014\t3.134\t0.049\t5790\t110\t-3.70\t0.11\t-3.00\t0.14\t0.701\t0.034\t-4.793\t0.081\t\n", "OGLE-LMC-CEP-0356\t6.02\t0.37\t1.892\t0.012\t3.672\t0.056\t5420\t130\t-5.08\t0.13\t-4.25\t0.17\t0.838\t0.041\t-6.382\t0.077\t\n", "OGLE-LMC-CEP-0377\t6.60\t0.41\t1.732\t0.014\t3.521\t0.049\t5950\t110\t-4.64\t0.11\t-3.99\t0.14\t0.648\t0.035\t-5.650\t0.080\t\n", "OGLE-LMC-CEP-0458\t5.28\t0.41\t1.562\t0.014\t3.119\t0.049\t5780\t110\t-3.66\t0.11\t-2.96\t0.14\t0.706\t0.034\t-4.766\t0.080\t\n", "OGLE-LMC-CEP-0482\t5.72\t0.37\t1.749\t0.012\t3.501\t0.048\t5780\t110\t-4.63\t0.11\t-3.92\t0.14\t0.700\t0.036\t-5.712\t0.070\t\n", "OGLE-LMC-CEP-0492\t5.02\t0.40\t1.636\t0.014\t3.320\t0.047\t5930\t110\t-4.14\t0.11\t-3.48\t0.14\t0.660\t0.034\t-5.165\t0.076\t\n", "OGLE-LMC-CEP-0505\t5.29\t0.42\t1.583\t0.015\t3.160\t0.050\t5770\t110\t-3.77\t0.12\t-3.06\t0.15\t0.709\t0.034\t-4.871\t0.084\t\n", "OGLE-LMC-CEP-0520\t6.11\t0.36\t1.793\t0.012\t3.572\t0.052\t5720\t120\t-4.81\t0.12\t-4.09\t0.15\t0.719\t0.038\t-5.930\t0.073\t\n", "OGLE-LMC-CEP-0542\t5.48\t0.44\t1.647\t0.016\t3.299\t0.049\t5780\t110\t-4.11\t0.12\t-3.40\t0.14\t0.703\t0.034\t-5.200\t0.086\t\n", 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"OGLE-LMC-CEP-0716\t5.60\t0.36\t1.870\t0.012\t3.607\t0.051\t5340\t120\t-4.94\t0.12\t-4.09\t0.15\t0.847\t0.039\t-6.258\t0.070\t\n", "OGLE-LMC-CEP-0741\t6.18\t0.37\t1.857\t0.012\t3.730\t0.053\t5790\t130\t-5.21\t0.12\t-4.51\t0.16\t0.691\t0.041\t-6.292\t0.074\t\n", "OGLE-LMC-CEP-0776\t6.70\t0.37\t1.759\t0.012\t3.548\t0.046\t5870\t110\t-4.73\t0.11\t-4.06\t0.14\t0.671\t0.035\t-5.776\t0.068\t\n", "OGLE-LMC-CEP-0800\t5.56\t0.38\t1.875\t0.012\t3.620\t0.062\t5350\t150\t-4.97\t0.14\t-4.11\t0.19\t0.850\t0.047\t-6.287\t0.082\t\n", "OGLE-LMC-CEP-0831\t5.55\t0.37\t1.811\t0.012\t3.591\t0.046\t5660\t120\t-4.88\t0.11\t-4.14\t0.14\t0.734\t0.037\t-6.022\t0.067\t\n", "OGLE-LMC-CEP-0837\t5.43\t0.38\t1.675\t0.012\t3.255\t0.048\t5470\t110\t-4.04\t0.11\t-3.23\t0.14\t0.798\t0.035\t-5.272\t0.073\t\n", "OGLE-LMC-CEP-0838\t5.16\t0.42\t1.567\t0.015\t3.173\t0.049\t5920\t110\t-3.78\t0.12\t-3.12\t0.14\t0.664\t0.034\t-4.816\t0.083\t\n", "OGLE-LMC-CEP-0843\t5.79\t0.35\t1.776\t0.011\t3.551\t0.047\t5750\t110\t-4.76\t0.11\t-4.05\t0.14\t0.705\t0.036\t-5.856\t0.066\t\n", "OGLE-LMC-CEP-0845\t5.29\t0.42\t1.599\t0.015\t3.194\t0.050\t5770\t110\t-3.85\t0.12\t-3.14\t0.15\t0.709\t0.034\t-4.954\t0.084\t\n", "OGLE-LMC-CEP-0846\t6.08\t0.35\t1.815\t0.011\t3.597\t0.048\t5670\t110\t-4.87\t0.11\t-4.13\t0.14\t0.741\t0.036\t-6.029\t0.068\t\n", "OGLE-LMC-CEP-0878\t6.21\t0.42\t1.830\t0.013\t3.625\t0.045\t5660\t110\t-4.98\t0.10\t-4.23\t0.13\t0.733\t0.035\t-6.108\t0.069\t\n", "OGLE-LMC-CEP-0884\t5.79\t0.37\t1.761\t0.012\t3.534\t0.048\t5810\t110\t-4.70\t0.11\t-4.00\t0.14\t0.694\t0.035\t-5.782\t0.070\t\n", "OGLE-LMC-CEP-0886\t5.39\t0.41\t1.599\t0.014\t3.195\t0.048\t5770\t110\t-3.86\t0.11\t-3.15\t0.14\t0.705\t0.034\t-4.953\t0.079\t\n", "OGLE-LMC-CEP-0888\t6.42\t0.39\t1.828\t0.012\t3.610\t0.045\t5630\t110\t-4.94\t0.10\t-4.20\t0.13\t0.739\t0.035\t-6.087\t0.066\t\n", "OGLE-LMC-CEP-0915\t5.75\t0.36\t1.747\t0.012\t3.481\t0.046\t5730\t110\t-4.58\t0.11\t-3.87\t0.14\t0.716\t0.034\t-5.695\t0.068\t\n", "OGLE-LMC-CEP-0919\t5.53\t0.43\t1.632\t0.015\t3.275\t0.049\t5810\t110\t-4.05\t0.11\t-3.35\t0.14\t0.696\t0.034\t-5.128\t0.082\t\n", "OGLE-LMC-CEP-0926\t5.28\t0.39\t1.612\t0.014\t3.229\t0.047\t5790\t110\t-3.93\t0.11\t-3.23\t0.14\t0.704\t0.034\t-5.027\t0.076\t\n", "OGLE-LMC-CEP-0927\t5.85\t0.35\t1.800\t0.011\t3.593\t0.046\t5750\t110\t-4.86\t0.10\t-4.15\t0.14\t0.711\t0.034\t-5.972\t0.067\t\n", "OGLE-LMC-CEP-0931\t6.49\t0.42\t1.713\t0.015\t3.472\t0.049\t5930\t110\t-4.53\t0.11\t-3.87\t0.14\t0.653\t0.034\t-5.541\t0.081\t\n", "OGLE-LMC-CEP-0936\t5.99\t0.35\t1.787\t0.011\t3.541\t0.046\t5670\t110\t-4.74\t0.10\t-4.01\t0.14\t0.735\t0.034\t-5.891\t0.066\t\n", "OGLE-LMC-CEP-0949\t5.38\t0.38\t1.877\t0.012\t3.610\t0.057\t5300\t130\t-4.94\t0.13\t-4.06\t0.17\t0.870\t0.043\t-6.288\t0.078\t\n", "OGLE-LMC-CEP-0963\t5.96\t0.35\t1.797\t0.012\t3.569\t0.048\t5690\t110\t-4.80\t0.11\t-4.08\t0.14\t0.730\t0.036\t-5.945\t0.068\t\n", "OGLE-LMC-CEP-0969\t5.85\t0.37\t1.891\t0.012\t3.671\t0.053\t5400\t130\t-5.10\t0.12\t-4.26\t0.16\t0.825\t0.041\t-6.377\t0.073\t\n", "OGLE-LMC-CEP-0973\t5.23\t0.36\t1.821\t0.012\t3.491\t0.053\t5280\t130\t-4.65\t0.12\t-3.79\t0.16\t0.857\t0.041\t-5.983\t0.070\t\n", "OGLE-LMC-CEP-0975\t6.13\t0.37\t1.897\t0.012\t3.710\t0.058\t5480\t140\t-5.18\t0.13\t-4.38\t0.17\t0.797\t0.044\t-6.418\t0.077\t\n", "OGLE-LMC-CEP-0990\t5.35\t0.43\t1.563\t0.015\t3.130\t0.049\t5810\t110\t-3.69\t0.12\t-3.00\t0.14\t0.694\t0.034\t-4.773\t0.084\t\n", "OGLE-LMC-CEP-1004\t5.15\t0.42\t1.551\t0.015\t3.097\t0.049\t5780\t110\t-3.61\t0.11\t-2.91\t0.14\t0.706\t0.034\t-4.709\t0.082\t\n", "OGLE-LMC-CEP-1011\t5.25\t0.41\t1.587\t0.015\t3.191\t0.049\t5840\t110\t-3.83\t0.11\t-3.15\t0.14\t0.690\t0.034\t-4.907\t0.081\t\n", "OGLE-LMC-CEP-1012\t5.31\t0.44\t1.641\t0.015\t3.291\t0.049\t5790\t110\t-4.09\t0.12\t-3.39\t0.14\t0.699\t0.034\t-5.173\t0.084\t\n", "OGLE-LMC-CEP-1019\t5.24\t0.44\t1.612\t0.016\t3.227\t0.050\t5780\t110\t-3.93\t0.12\t-3.22\t0.15\t0.704\t0.034\t-5.025\t0.086\t\n", "OGLE-LMC-CEP-1020\t5.16\t0.42\t1.572\t0.015\t3.131\t0.049\t5750\t110\t-3.70\t0.11\t-2.99\t0.14\t0.715\t0.034\t-4.811\t0.082\t\n", "OGLE-LMC-CEP-1045\t5.35\t0.42\t1.619\t0.015\t3.236\t0.048\t5770\t110\t-3.95\t0.11\t-3.25\t0.14\t0.707\t0.033\t-5.054\t0.082\t\n", "OGLE-LMC-CEP-1057\t5.44\t0.42\t1.638\t0.015\t3.276\t0.048\t5770\t110\t-4.06\t0.11\t-3.35\t0.14\t0.706\t0.034\t-5.153\t0.081\t\n", "OGLE-LMC-CEP-1073\t5.85\t0.39\t1.657\t0.013\t3.304\t0.048\t5760\t110\t-4.13\t0.11\t-3.42\t0.14\t0.707\t0.034\t-5.231\t0.076\t\n", "OGLE-LMC-CEP-1078\t6.08\t0.35\t1.798\t0.011\t3.569\t0.047\t5680\t120\t-4.80\t0.11\t-4.08\t0.14\t0.730\t0.036\t-5.945\t0.067\t\n", 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"OGLE-LMC-CEP-1301\t5.45\t0.43\t1.637\t0.015\t3.334\t0.049\t5970\t110\t-4.17\t0.12\t-3.52\t0.14\t0.646\t0.034\t-5.176\t0.083\t\n", "OGLE-LMC-CEP-1304\t4.91\t0.41\t1.539\t0.014\t3.059\t0.048\t5730\t110\t-3.52\t0.11\t-2.80\t0.14\t0.720\t0.034\t-4.641\t0.078\t\n", "OGLE-LMC-CEP-1313\t5.45\t0.37\t1.718\t0.013\t3.415\t0.047\t5700\t110\t-4.42\t0.11\t-3.69\t0.14\t0.724\t0.034\t-5.542\t0.073\t\n", "OGLE-LMC-CEP-1321\t5.13\t0.39\t1.563\t0.014\t3.194\t0.047\t6010\t110\t-3.81\t0.11\t-3.17\t0.14\t0.639\t0.034\t-4.809\t0.076\t\n", "OGLE-LMC-CEP-1335\t5.32\t0.42\t1.583\t0.015\t3.160\t0.049\t5760\t110\t-3.77\t0.12\t-3.06\t0.14\t0.712\t0.034\t-4.873\t0.083\t\n", "OGLE-LMC-CEP-1344\t5.96\t0.36\t1.748\t0.012\t3.513\t0.046\t5830\t110\t-4.64\t0.11\t-3.96\t0.14\t0.685\t0.034\t-5.716\t0.068\t\n", "OGLE-LMC-CEP-1353\t5.99\t0.36\t1.770\t0.011\t3.523\t0.045\t5710\t110\t-4.69\t0.10\t-3.97\t0.13\t0.722\t0.034\t-5.816\t0.066\t\n", "OGLE-LMC-CEP-1370\t5.44\t0.40\t1.576\t0.014\t3.162\t0.048\t5830\t110\t-3.76\t0.11\t-3.08\t0.14\t0.688\t0.034\t-4.839\t0.077\t\n", "OGLE-LMC-CEP-1389\t5.84\t0.35\t1.749\t0.012\t3.481\t0.046\t5720\t110\t-4.58\t0.10\t-3.87\t0.14\t0.719\t0.034\t-5.701\t0.068\t\n", "OGLE-LMC-CEP-1396\t5.45\t0.43\t1.602\t0.015\t3.266\t0.049\t5980\t110\t-4.00\t0.11\t-3.37\t0.14\t0.639\t0.034\t-5.002\t0.083\t\n", "OGLE-LMC-CEP-1398\t5.45\t0.42\t1.611\t0.015\t3.228\t0.049\t5800\t110\t-3.93\t0.12\t-3.24\t0.15\t0.698\t0.034\t-5.019\t0.084\t\n", "OGLE-LMC-CEP-1404\t5.08\t0.40\t1.694\t0.014\t3.366\t0.049\t5700\t110\t-4.30\t0.11\t-3.58\t0.14\t0.720\t0.034\t-5.421\t0.076\t\n", "OGLE-LMC-CEP-1407\t5.38\t0.42\t1.589\t0.015\t3.200\t0.049\t5850\t110\t-3.86\t0.12\t-3.18\t0.14\t0.680\t0.034\t-4.917\t0.083\t\n", "OGLE-LMC-CEP-1416\t5.46\t0.42\t1.629\t0.015\t3.281\t0.048\t5850\t110\t-4.06\t0.11\t-3.38\t0.14\t0.683\t0.034\t-5.122\t0.082\t\n", "OGLE-LMC-CEP-1444\t5.51\t0.38\t1.714\t0.013\t3.406\t0.048\t5700\t110\t-4.40\t0.11\t-3.68\t0.14\t0.719\t0.034\t-5.522\t0.073\t\n", "OGLE-LMC-CEP-1463\t5.79\t0.37\t1.756\t0.013\t3.520\t0.046\t5800\t110\t-4.67\t0.11\t-3.98\t0.14\t0.694\t0.034\t-5.758\t0.071\t\n", "OGLE-LMC-CEP-1490\t5.97\t0.36\t1.783\t0.012\t3.570\t0.047\t5780\t110\t-4.79\t0.11\t-4.09\t0.14\t0.703\t0.035\t-5.894\t0.068\t\n", "OGLE-LMC-CEP-1494\t5.77\t0.39\t1.668\t0.014\t3.360\t0.047\t5860\t110\t-4.25\t0.11\t-3.58\t0.14\t0.677\t0.034\t-5.308\t0.076\t\n", "OGLE-LMC-CEP-1513\t6.08\t0.35\t1.789\t0.011\t3.554\t0.045\t5700\t110\t-4.77\t0.10\t-4.05\t0.13\t0.726\t0.034\t-5.905\t0.065\t\n", "OGLE-LMC-CEP-1526\t5.54\t0.39\t1.722\t0.013\t3.460\t0.046\t5820\t110\t-4.51\t0.11\t-3.82\t0.14\t0.688\t0.034\t-5.584\t0.073\t\n", "OGLE-LMC-CEP-1539\t6.22\t0.37\t1.910\t0.012\t3.687\t0.055\t5340\t130\t-5.15\t0.13\t-4.29\t0.16\t0.848\t0.042\t-6.460\t0.075\t\n", "OGLE-LMC-CEP-1553\t6.03\t0.39\t1.719\t0.013\t3.432\t0.046\t5760\t110\t-4.45\t0.10\t-3.75\t0.13\t0.706\t0.034\t-5.552\t0.071\t\n", "OGLE-LMC-CEP-1559\t5.30\t0.43\t1.552\t0.015\t3.108\t0.050\t5810\t110\t-3.63\t0.12\t-2.95\t0.15\t0.694\t0.034\t-4.720\t0.084\t\n", "OGLE-LMC-CEP-1560\t5.41\t0.43\t1.593\t0.015\t3.202\t0.050\t5840\t110\t-3.86\t0.12\t-3.18\t0.15\t0.686\t0.034\t-4.933\t0.084\t\n", "OGLE-LMC-CEP-1580\t5.50\t0.42\t1.665\t0.015\t3.333\t0.048\t5780\t110\t-4.20\t0.11\t-3.50\t0.14\t0.701\t0.034\t-5.291\t0.080\t\n", "OGLE-LMC-CEP-1590\t5.34\t0.41\t1.638\t0.014\t3.291\t0.048\t5830\t110\t-4.09\t0.11\t-3.40\t0.14\t0.689\t0.034\t-5.159\t0.079\t\n", "OGLE-LMC-CEP-1608\t5.37\t0.36\t1.845\t0.012\t3.645\t0.051\t5600\t120\t-5.01\t0.12\t-4.24\t0.15\t0.760\t0.039\t-6.193\t0.071\t\n", "OGLE-LMC-CEP-1614\t5.43\t0.42\t1.623\t0.015\t3.221\t0.049\t5700\t110\t-3.93\t0.12\t-3.20\t0.14\t0.726\t0.034\t-5.054\t0.082\t\n", "OGLE-LMC-CEP-1636\t5.67\t0.36\t1.714\t0.012\t3.434\t0.045\t5780\t110\t-4.45\t0.10\t-3.75\t0.13\t0.701\t0.034\t-5.540\t0.067\t\n", "OGLE-LMC-CEP-1647\t5.22\t0.37\t1.779\t0.012\t3.569\t0.045\t5810\t110\t-4.81\t0.10\t-4.13\t0.13\t0.686\t0.034\t-5.881\t0.067\t\n", "OGLE-LMC-CEP-1658\t5.21\t0.40\t1.546\t0.014\t3.104\t0.048\t5830\t110\t-3.62\t0.11\t-2.94\t0.14\t0.688\t0.034\t-4.698\t0.078\t\n", "OGLE-LMC-CEP-1667\t5.41\t0.42\t1.703\t0.014\t3.433\t0.047\t5870\t110\t-4.44\t0.11\t-3.76\t0.14\t0.675\t0.034\t-5.494\t0.077\t\n", "OGLE-LMC-CEP-1719\t6.08\t0.40\t1.848\t0.013\t3.642\t0.071\t5590\t170\t-5.01\t0.17\t-4.25\t0.22\t0.758\t0.056\t-6.197\t0.091\t\n", "OGLE-LMC-CEP-1737\t5.17\t0.42\t1.561\t0.015\t3.109\t0.050\t5760\t110\t-3.64\t0.12\t-2.93\t0.14\t0.713\t0.034\t-4.752\t0.082\t\n", "OGLE-LMC-CEP-1748\t5.86\t0.38\t1.723\t0.012\t3.454\t0.045\t5810\t110\t-4.50\t0.10\t-3.80\t0.13\t0.693\t0.034\t-5.578\t0.069\t\n", "OGLE-LMC-CEP-1757\t5.39\t0.39\t1.571\t0.014\t3.146\t0.048\t5810\t110\t-3.72\t0.11\t-3.02\t0.14\t0.702\t0.034\t-4.815\t0.077\t\n", "OGLE-LMC-CEP-1778\t5.37\t0.41\t1.624\t0.014\t3.254\t0.048\t5790\t110\t-4.00\t0.11\t-3.30\t0.14\t0.700\t0.034\t-5.086\t0.078\t\n", "OGLE-LMC-CEP-1785\t5.56\t0.40\t1.665\t0.014\t3.330\t0.047\t5760\t110\t-4.19\t0.11\t-3.49\t0.14\t0.704\t0.034\t-5.291\t0.076\t\n", "OGLE-LMC-CEP-1791\t5.34\t0.41\t1.554\t0.014\t3.116\t0.048\t5820\t110\t-3.65\t0.11\t-2.97\t0.14\t0.690\t0.034\t-4.731\t0.079\t\n", "OGLE-LMC-CEP-1794\t5.20\t0.41\t1.598\t0.015\t3.267\t0.049\t6010\t110\t-3.99\t0.11\t-3.36\t0.14\t0.636\t0.034\t-4.991\t0.081\t\n", "OGLE-LMC-CEP-1797\t5.08\t0.41\t1.602\t0.014\t3.187\t0.047\t5720\t110\t-3.84\t0.11\t-3.12\t0.14\t0.721\t0.034\t-4.960\t0.079\t\n", "OGLE-LMC-CEP-1799\t5.42\t0.42\t1.635\t0.014\t3.288\t0.048\t5840\t110\t-4.08\t0.11\t-3.39\t0.14\t0.688\t0.034\t-5.149\t0.080\t\n", "OGLE-LMC-CEP-1831\t5.48\t0.41\t1.675\t0.014\t3.401\t0.048\t5930\t110\t-4.34\t0.11\t-3.68\t0.14\t0.658\t0.034\t-5.364\t0.077\t\n", "OGLE-LMC-CEP-1846\t5.15\t0.40\t1.545\t0.014\t3.116\t0.048\t5880\t110\t-3.64\t0.11\t-2.97\t0.14\t0.675\t0.034\t-4.697\t0.077\t\n", "OGLE-LMC-CEP-1851\t5.21\t0.42\t1.572\t0.015\t3.193\t0.049\t5940\t110\t-3.82\t0.11\t-3.17\t0.14\t0.654\t0.034\t-4.847\t0.082\t\n", "OGLE-LMC-CEP-1866\t5.85\t0.36\t1.744\t0.012\t3.473\t0.046\t5720\t110\t-4.56\t0.10\t-3.84\t0.14\t0.721\t0.035\t-5.679\t0.068\t\n", "OGLE-LMC-CEP-1870\t5.79\t0.43\t1.697\t0.015\t3.399\t0.048\t5790\t110\t-4.37\t0.11\t-3.67\t0.14\t0.697\t0.034\t-5.452\t0.082\t\n", "OGLE-LMC-CEP-1887\t5.45\t0.42\t1.671\t0.014\t3.361\t0.048\t5840\t110\t-4.26\t0.11\t-3.58\t0.14\t0.684\t0.034\t-5.329\t0.079\t\n", "OGLE-LMC-CEP-1892\t5.32\t0.41\t1.644\t0.014\t3.278\t0.047\t5740\t110\t-4.06\t0.11\t-3.35\t0.14\t0.715\t0.034\t-5.175\t0.078\t\n", "OGLE-LMC-CEP-1899\t5.36\t0.40\t1.579\t0.014\t3.200\t0.048\t5920\t110\t-3.84\t0.11\t-3.18\t0.14\t0.662\t0.034\t-4.880\t0.078\t\n", "OGLE-LMC-CEP-1903\t5.73\t0.38\t1.723\t0.013\t3.422\t0.048\t5690\t110\t-4.44\t0.11\t-3.72\t0.14\t0.724\t0.034\t-5.567\t0.075\t\n", "OGLE-LMC-CEP-1904\t5.17\t0.41\t1.583\t0.015\t3.237\t0.049\t6010\t110\t-3.92\t0.11\t-3.28\t0.14\t0.635\t0.034\t-4.913\t0.081\t\n", "OGLE-LMC-CEP-1909\t5.11\t0.41\t1.557\t0.014\t3.151\t0.048\t5900\t110\t-3.73\t0.11\t-3.07\t0.14\t0.665\t0.034\t-4.767\t0.079\t\n", "OGLE-LMC-CEP-1910\t5.51\t0.37\t1.805\t0.012\t3.666\t0.053\t5910\t130\t-5.04\t0.12\t-4.39\t0.16\t0.653\t0.040\t-6.060\t0.075\t\n", "OGLE-LMC-CEP-1922\t6.00\t0.40\t1.701\t0.014\t3.463\t0.048\t5960\t110\t-4.49\t0.11\t-3.84\t0.14\t0.645\t0.034\t-5.494\t0.078\t\n", "OGLE-LMC-CEP-1926\t5.74\t0.48\t1.695\t0.017\t3.416\t0.051\t5860\t110\t-4.39\t0.12\t-3.71\t0.15\t0.678\t0.035\t-5.449\t0.091\t\n", "OGLE-LMC-CEP-1927\t5.43\t0.45\t1.648\t0.016\t3.315\t0.050\t5830\t110\t-4.14\t0.12\t-3.46\t0.15\t0.687\t0.034\t-5.213\t0.086\t\n", "OGLE-LMC-CEP-1933\t5.79\t0.38\t1.800\t0.012\t3.599\t0.048\t5750\t120\t-4.88\t0.11\t-4.17\t0.14\t0.709\t0.038\t-5.986\t0.067\t\n", "OGLE-LMC-CEP-1939\t5.70\t0.52\t1.695\t0.018\t3.403\t0.051\t5820\t110\t-4.37\t0.12\t-3.68\t0.15\t0.689\t0.035\t-5.443\t0.094\t\n", "OGLE-LMC-CEP-1942\t5.98\t0.36\t1.750\t0.012\t3.469\t0.045\t5670\t110\t-4.55\t0.10\t-3.82\t0.13\t0.736\t0.034\t-5.699\t0.067\t\n", "OGLE-LMC-CEP-1945\t5.39\t0.35\t1.749\t0.011\t3.467\t0.047\t5670\t120\t-4.56\t0.11\t-3.83\t0.14\t0.731\t0.036\t-5.697\t0.066\t\n", "OGLE-LMC-CEP-1954\t5.43\t0.38\t1.876\t0.012\t3.599\t0.057\t5280\t140\t-4.92\t0.13\t-4.04\t0.17\t0.877\t0.044\t-6.283\t0.076\t\n", "OGLE-LMC-CEP-1956\t5.47\t0.38\t1.786\t0.012\t3.540\t0.045\t5660\t110\t-4.76\t0.10\t-4.02\t0.13\t0.732\t0.034\t-5.888\t0.067\t\n", "OGLE-LMC-CEP-1957\t6.63\t0.35\t1.767\t0.011\t3.509\t0.046\t5700\t110\t-4.66\t0.10\t-3.94\t0.14\t0.721\t0.034\t-5.775\t0.067\t\n", "OGLE-LMC-CEP-1983\t5.03\t0.36\t1.723\t0.013\t3.399\t0.048\t5610\t110\t-4.40\t0.11\t-3.65\t0.14\t0.748\t0.035\t-5.558\t0.071\t\n", "OGLE-LMC-CEP-1984\t5.47\t0.45\t1.665\t0.016\t3.341\t0.050\t5800\t110\t-4.21\t0.12\t-3.51\t0.15\t0.696\t0.034\t-5.290\t0.086\t\n", "OGLE-LMC-CEP-1986\t5.47\t0.46\t1.639\t0.016\t3.284\t0.051\t5790\t110\t-4.07\t0.12\t-3.37\t0.15\t0.699\t0.034\t-5.157\t0.090\t\n", "OGLE-LMC-CEP-1990\t5.30\t0.45\t1.576\t0.016\t3.157\t0.050\t5800\t110\t-3.76\t0.12\t-3.06\t0.15\t0.696\t0.034\t-4.842\t0.086\t\n", "OGLE-LMC-CEP-1999\t5.39\t0.43\t1.587\t0.015\t3.198\t0.049\t5860\t110\t-3.85\t0.11\t-3.18\t0.14\t0.678\t0.034\t-4.909\t0.082\t\n", "OGLE-LMC-CEP-2013\t5.35\t0.43\t1.574\t0.015\t3.172\t0.050\t5860\t110\t-3.79\t0.12\t-3.11\t0.15\t0.679\t0.034\t-4.845\t0.085\t\n", "OGLE-LMC-CEP-2015\t6.45\t0.39\t1.731\t0.013\t3.507\t0.047\t5910\t110\t-4.62\t0.11\t-3.95\t0.14\t0.659\t0.034\t-5.640\t0.074\t\n", "OGLE-LMC-CEP-2017\t5.33\t0.42\t1.629\t0.015\t3.299\t0.049\t5910\t110\t-4.09\t0.12\t-3.43\t0.14\t0.665\t0.034\t-5.126\t0.083\t\n", "OGLE-LMC-CEP-2018\t5.64\t0.36\t1.741\t0.012\t3.482\t0.046\t5770\t110\t-4.58\t0.10\t-3.87\t0.13\t0.704\t0.034\t-5.670\t0.069\t\n", "OGLE-LMC-CEP-2022\t5.49\t0.43\t1.681\t0.014\t3.394\t0.048\t5880\t110\t-4.34\t0.11\t-3.66\t0.14\t0.673\t0.034\t-5.386\t0.079\t\n", "OGLE-LMC-CEP-2027\t5.33\t0.44\t1.608\t0.015\t3.248\t0.048\t5880\t110\t-3.99\t0.11\t-3.33\t0.14\t0.660\t0.034\t-5.020\t0.082\t\n", "OGLE-LMC-CEP-2028\t6.04\t0.35\t1.784\t0.012\t3.543\t0.047\t5690\t110\t-4.74\t0.11\t-4.02\t0.14\t0.728\t0.035\t-5.876\t0.068\t\n", "OGLE-LMC-CEP-2036\t5.50\t0.42\t1.613\t0.015\t3.275\t0.049\t5950\t110\t-4.03\t0.11\t-3.38\t0.14\t0.652\t0.034\t-5.046\t0.082\t\n", "OGLE-LMC-CEP-2042\t5.89\t0.36\t1.747\t0.012\t3.493\t0.046\t5770\t110\t-4.60\t0.11\t-3.91\t0.14\t0.702\t0.034\t-5.703\t0.071\t\n", "OGLE-LMC-CEP-2050\t5.91\t0.36\t1.754\t0.012\t3.516\t0.047\t5800\t110\t-4.66\t0.11\t-3.96\t0.14\t0.696\t0.035\t-5.739\t0.069\t\n", "OGLE-LMC-CEP-2051\t5.39\t0.37\t1.739\t0.012\t3.484\t0.046\t5800\t110\t-4.57\t0.11\t-3.88\t0.14\t0.696\t0.034\t-5.663\t0.070\t\n", "OGLE-LMC-CEP-2066\t5.99\t0.36\t1.764\t0.012\t3.548\t0.048\t5840\t110\t-4.73\t0.11\t-4.05\t0.14\t0.683\t0.035\t-5.799\t0.069\t\n", "OGLE-LMC-CEP-2090\t5.62\t0.36\t1.742\t0.012\t3.480\t0.045\t5760\t110\t-4.57\t0.10\t-3.86\t0.13\t0.708\t0.034\t-5.674\t0.068\t\n", "OGLE-LMC-CEP-2105\t5.31\t0.40\t1.620\t0.014\t3.246\t0.047\t5800\t110\t-3.98\t0.11\t-3.28\t0.14\t0.699\t0.034\t-5.065\t0.077\t\n", "OGLE-LMC-CEP-2109\t6.27\t0.37\t1.729\t0.012\t3.475\t0.046\t5830\t110\t-4.55\t0.10\t-3.86\t0.14\t0.685\t0.034\t-5.615\t0.069\t\n", "OGLE-LMC-CEP-2113\t5.41\t0.44\t1.614\t0.016\t3.228\t0.050\t5790\t110\t-3.94\t0.12\t-3.24\t0.15\t0.703\t0.034\t-5.030\t0.086\t\n", "OGLE-LMC-CEP-2121\t5.39\t0.44\t1.583\t0.017\t3.188\t0.052\t5860\t110\t-3.82\t0.12\t-3.14\t0.15\t0.685\t0.034\t-4.888\t0.091\t\n", "OGLE-LMC-CEP-2132\t5.54\t0.42\t1.619\t0.015\t3.234\t0.049\t5770\t110\t-3.95\t0.11\t-3.25\t0.14\t0.704\t0.034\t-5.048\t0.081\t\n", "OGLE-LMC-CEP-2152\t5.35\t0.42\t1.674\t0.014\t3.334\t0.048\t5720\t110\t-4.21\t0.11\t-3.49\t0.14\t0.718\t0.034\t-5.329\t0.080\t\n", "OGLE-LMC-CEP-2170\t5.86\t0.40\t1.708\t0.014\t3.397\t0.050\t5700\t110\t-4.38\t0.12\t-3.65\t0.15\t0.722\t0.034\t-5.496\t0.080\t\n", "OGLE-LMC-CEP-2171\t5.50\t0.46\t1.621\t0.017\t3.237\t0.053\t5770\t110\t-3.96\t0.13\t-3.26\t0.15\t0.705\t0.034\t-5.056\t0.093\t\n", "OGLE-LMC-CEP-2174\t6.11\t0.36\t1.787\t0.012\t3.568\t0.049\t5760\t120\t-4.79\t0.11\t-4.09\t0.15\t0.708\t0.037\t-5.901\t0.070\t\n", "OGLE-LMC-CEP-2177\t5.26\t0.41\t1.558\t0.014\t3.136\t0.048\t5860\t110\t-3.70\t0.11\t-3.02\t0.14\t0.682\t0.034\t-4.761\t0.080\t\n", "OGLE-LMC-CEP-2194\t5.11\t0.44\t1.651\t0.015\t3.354\t0.048\t5940\t110\t-4.23\t0.11\t-3.57\t0.14\t0.657\t0.034\t-5.248\t0.081\t\n", "OGLE-LMC-CEP-2204\t5.95\t0.36\t1.764\t0.012\t3.548\t0.047\t5840\t110\t-4.73\t0.11\t-4.05\t0.14\t0.683\t0.035\t-5.801\t0.069\t\n", "OGLE-LMC-CEP-2205\t5.44\t0.47\t1.684\t0.016\t3.387\t0.052\t5830\t110\t-4.32\t0.12\t-3.63\t0.15\t0.688\t0.036\t-5.396\t0.089\t\n", "OGLE-LMC-CEP-2225\t6.05\t0.35\t1.748\t0.011\t3.467\t0.045\t5670\t110\t-4.55\t0.10\t-3.81\t0.13\t0.734\t0.034\t-5.693\t0.066\t\n", "OGLE-LMC-CEP-2226\t5.39\t0.41\t1.616\t0.014\t3.250\t0.048\t5840\t110\t-3.98\t0.11\t-3.29\t0.14\t0.688\t0.034\t-5.052\t0.080\t\n", "OGLE-LMC-CEP-2234\t5.22\t0.40\t1.611\t0.014\t3.237\t0.047\t5830\t110\t-3.95\t0.11\t-3.26\t0.14\t0.692\t0.034\t-5.028\t0.077\t\n", "OGLE-LMC-CEP-2244\t5.22\t0.42\t1.586\t0.015\t3.167\t0.049\t5770\t110\t-3.78\t0.12\t-3.08\t0.14\t0.710\t0.034\t-4.887\t0.083\t\n", "OGLE-LMC-CEP-2249\t5.79\t0.45\t1.700\t0.016\t3.463\t0.052\t5970\t110\t-4.49\t0.12\t-3.84\t0.15\t0.643\t0.035\t-5.495\t0.089\t\n", "OGLE-LMC-CEP-2262\t5.97\t0.35\t1.768\t0.012\t3.530\t0.046\t5750\t110\t-4.71\t0.10\t-3.99\t0.14\t0.709\t0.034\t-5.812\t0.067\t\n", "OGLE-LMC-CEP-2265\t5.53\t0.41\t1.623\t0.014\t3.274\t0.048\t5870\t110\t-4.04\t0.11\t-3.37\t0.14\t0.675\t0.034\t-5.091\t0.079\t\n", "OGLE-LMC-CEP-2269\t5.73\t0.36\t1.739\t0.012\t3.472\t0.047\t5760\t110\t-4.56\t0.11\t-3.86\t0.14\t0.704\t0.034\t-5.656\t0.070\t\n", "OGLE-LMC-CEP-2281\t5.38\t0.42\t1.569\t0.015\t3.179\t0.049\t5930\t110\t-3.79\t0.11\t-3.14\t0.14\t0.660\t0.034\t-4.828\t0.081\t\n", "OGLE-LMC-CEP-2284\t5.23\t0.42\t1.556\t0.015\t3.160\t0.049\t5950\t110\t-3.74\t0.11\t-3.09\t0.14\t0.653\t0.034\t-4.767\t0.082\t\n", "OGLE-LMC-CEP-2298\t5.32\t0.41\t1.563\t0.014\t3.165\t0.048\t5910\t110\t-3.76\t0.11\t-3.10\t0.14\t0.663\t0.034\t-4.797\t0.079\t\n", "OGLE-LMC-CEP-2305\t5.46\t0.44\t1.634\t0.016\t3.282\t0.049\t5820\t110\t-4.06\t0.12\t-3.37\t0.14\t0.692\t0.034\t-5.140\t0.084\t\n", "OGLE-LMC-CEP-2308\t5.63\t0.40\t1.677\t0.014\t3.356\t0.047\t5770\t110\t-4.26\t0.11\t-3.55\t0.14\t0.702\t0.034\t-5.353\t0.077\t\n", "OGLE-LMC-CEP-2318\t5.62\t0.49\t1.611\t0.018\t3.212\t0.055\t5760\t110\t-3.90\t0.13\t-3.19\t0.16\t0.711\t0.034\t-5.003\t0.099\t\n", "OGLE-LMC-CEP-2329\t6.17\t0.44\t1.697\t0.015\t3.461\t0.051\t5980\t110\t-4.49\t0.12\t-3.84\t0.15\t0.640\t0.035\t-5.483\t0.085\t\n", "OGLE-LMC-CEP-2335\t5.38\t0.41\t1.624\t0.014\t3.275\t0.047\t5850\t110\t-4.04\t0.11\t-3.36\t0.14\t0.681\t0.034\t-5.099\t0.078\t\n", "OGLE-LMC-CEP-2337\t5.55\t0.41\t1.885\t0.013\t3.635\t0.071\t5340\t170\t-5.01\t0.16\t-4.16\t0.22\t0.849\t0.055\t-6.331\t0.091\t\n", 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"OGLE-LMC-CEP-2418\t5.40\t0.43\t1.586\t0.015\t3.177\t0.050\t5810\t110\t-3.81\t0.12\t-3.12\t0.15\t0.694\t0.034\t-4.889\t0.084\t\n", "OGLE-LMC-CEP-2425\t5.65\t0.38\t1.740\t0.013\t3.476\t0.047\t5750\t110\t-4.57\t0.11\t-3.85\t0.14\t0.709\t0.035\t-5.666\t0.074\t\n", "OGLE-LMC-CEP-2454\t5.29\t0.42\t1.613\t0.015\t3.253\t0.049\t5860\t110\t-3.98\t0.11\t-3.30\t0.14\t0.681\t0.034\t-5.045\t0.082\t\n", "OGLE-LMC-CEP-2490\t5.36\t0.40\t1.594\t0.014\t3.227\t0.048\t5910\t110\t-3.91\t0.11\t-3.25\t0.14\t0.667\t0.034\t-4.955\t0.079\t\n", "OGLE-LMC-CEP-2519\t5.23\t0.39\t1.570\t0.014\t3.181\t0.048\t5930\t110\t-3.79\t0.11\t-3.13\t0.14\t0.663\t0.034\t-4.830\t0.077\t\n", "OGLE-LMC-CEP-2530\t5.54\t0.42\t1.605\t0.015\t3.227\t0.050\t5840\t110\t-3.93\t0.12\t-3.25\t0.15\t0.684\t0.034\t-4.996\t0.083\t\n", "OGLE-LMC-CEP-2543\t5.49\t0.40\t1.591\t0.014\t3.211\t0.048\t5890\t110\t-3.88\t0.11\t-3.21\t0.14\t0.671\t0.034\t-4.930\t0.078\t\n", "OGLE-LMC-CEP-2544\t5.51\t0.38\t1.806\t0.012\t3.610\t0.051\t5750\t120\t-4.91\t0.12\t-4.20\t0.15\t0.710\t0.039\t-6.029\t0.074\t\n", "OGLE-LMC-CEP-2551\t5.17\t0.41\t1.600\t0.014\t3.269\t0.048\t5990\t110\t-4.00\t0.11\t-3.36\t0.14\t0.641\t0.034\t-4.996\t0.080\t\n", "OGLE-LMC-CEP-2568\t5.44\t0.40\t1.630\t0.014\t3.288\t0.047\t5860\t110\t-4.07\t0.11\t-3.40\t0.14\t0.676\t0.034\t-5.124\t0.075\t\n", "OGLE-LMC-CEP-2571\t5.37\t0.40\t1.604\t0.014\t3.217\t0.048\t5810\t110\t-3.90\t0.11\t-3.21\t0.14\t0.696\t0.034\t-4.985\t0.077\t\n", "OGLE-LMC-CEP-2596\t5.16\t0.42\t1.621\t0.014\t3.259\t0.048\t5830\t110\t-4.00\t0.11\t-3.31\t0.14\t0.691\t0.034\t-5.081\t0.080\t\n", "OGLE-LMC-CEP-2598\t5.35\t0.41\t1.648\t0.014\t3.291\t0.048\t5750\t110\t-4.10\t0.11\t-3.38\t0.14\t0.710\t0.034\t-5.203\t0.078\t\n", "OGLE-LMC-CEP-2600\t5.41\t0.41\t1.620\t0.014\t3.257\t0.048\t5840\t110\t-4.00\t0.11\t-3.31\t0.14\t0.688\t0.034\t-5.070\t0.079\t\n", "OGLE-LMC-CEP-2604\t5.43\t0.41\t1.650\t0.014\t3.290\t0.048\t5730\t110\t-4.10\t0.11\t-3.38\t0.14\t0.716\t0.034\t-5.209\t0.080\t\n", "OGLE-LMC-CEP-2610\t5.68\t0.44\t1.700\t0.015\t3.411\t0.048\t5820\t110\t-4.39\t0.11\t-3.70\t0.14\t0.692\t0.034\t-5.466\t0.080\t\n", "OGLE-LMC-CEP-2612\t5.50\t0.44\t1.666\t0.016\t3.323\t0.050\t5740\t110\t-4.18\t0.12\t-3.46\t0.15\t0.713\t0.034\t-5.286\t0.086\t\n", "OGLE-LMC-CEP-2620\t5.29\t0.43\t1.567\t0.015\t3.130\t0.050\t5780\t110\t-3.69\t0.12\t-2.99\t0.15\t0.704\t0.034\t-4.790\t0.084\t\n", "OGLE-LMC-CEP-2637\t5.23\t0.44\t1.563\t0.016\t3.194\t0.051\t6000\t110\t-3.81\t0.12\t-3.18\t0.15\t0.638\t0.034\t-4.815\t0.088\t\n", "OGLE-LMC-CEP-2638\t5.70\t0.40\t1.623\t0.014\t3.234\t0.048\t5750\t110\t-3.95\t0.11\t-3.24\t0.14\t0.715\t0.034\t-5.064\t0.079\t\n", "OGLE-LMC-CEP-2663\t5.42\t0.42\t1.594\t0.015\t3.195\t0.049\t5810\t110\t-3.85\t0.12\t-3.15\t0.14\t0.698\t0.034\t-4.935\t0.082\t\n", "OGLE-LMC-CEP-2675\t5.36\t0.39\t1.716\t0.014\t3.429\t0.050\t5750\t110\t-4.45\t0.11\t-3.74\t0.15\t0.710\t0.035\t-5.547\t0.077\t\n", "OGLE-LMC-CEP-2676\t6.16\t0.40\t1.708\t0.014\t3.450\t0.047\t5880\t110\t-4.48\t0.11\t-3.81\t0.14\t0.667\t0.034\t-5.516\t0.077\t\n", "OGLE-LMC-CEP-2760\t5.19\t0.41\t1.591\t0.014\t3.175\t0.048\t5760\t110\t-3.80\t0.11\t-3.09\t0.14\t0.713\t0.034\t-4.914\t0.079\t\n", "OGLE-LMC-CEP-2765\t5.83\t0.37\t1.814\t0.012\t3.566\t0.045\t5590\t110\t-4.83\t0.10\t-4.07\t0.13\t0.755\t0.035\t-6.002\t0.066\t\n", "OGLE-LMC-CEP-2768\t5.31\t0.41\t1.614\t0.014\t3.220\t0.048\t5750\t110\t-3.92\t0.11\t-3.21\t0.14\t0.712\t0.034\t-5.026\t0.078\t\n", "OGLE-LMC-CEP-2775\t5.61\t0.36\t1.770\t0.012\t3.580\t0.046\t5910\t110\t-4.83\t0.10\t-4.18\t0.13\t0.651\t0.034\t-5.846\t0.067\t\n", "OGLE-LMC-CEP-2812\t5.97\t0.37\t1.778\t0.012\t3.549\t0.050\t5740\t120\t-4.76\t0.11\t-4.04\t0.15\t0.711\t0.039\t-5.862\t0.068\t\n", "OGLE-LMC-CEP-2813\t5.54\t0.37\t1.738\t0.012\t3.496\t0.047\t5840\t110\t-4.60\t0.11\t-3.92\t0.14\t0.683\t0.035\t-5.669\t0.070\t\n", "OGLE-LMC-CEP-2826\t5.27\t0.40\t1.618\t0.014\t3.249\t0.047\t5820\t110\t-3.98\t0.11\t-3.28\t0.14\t0.697\t0.034\t-5.063\t0.077\t\n", "OGLE-LMC-CEP-2871\t5.35\t0.46\t1.698\t0.016\t3.418\t0.049\t5840\t110\t-4.41\t0.12\t-3.72\t0.14\t0.680\t0.034\t-5.466\t0.087\t\n", "OGLE-LMC-CEP-2884\t5.45\t0.43\t1.810\t0.014\t3.600\t0.054\t5700\t140\t-4.90\t0.12\t-4.17\t0.16\t0.723\t0.046\t-6.025\t0.075\t\n", "OGLE-LMC-CEP-2903\t5.24\t0.38\t1.596\t0.013\t3.234\t0.047\t5910\t110\t-3.92\t0.11\t-3.26\t0.14\t0.667\t0.034\t-4.964\t0.073\t\n", "OGLE-LMC-CEP-2934\t5.29\t0.43\t1.708\t0.016\t3.439\t0.048\t5840\t110\t-4.46\t0.11\t-3.77\t0.14\t0.682\t0.035\t-5.520\t0.083\t\n", "OGLE-LMC-CEP-2941\t5.35\t0.46\t1.552\t0.016\t3.085\t0.052\t5730\t110\t-3.59\t0.12\t-2.87\t0.15\t0.718\t0.034\t-4.703\t0.090\t\n", "OGLE-LMC-CEP-2971\t5.52\t0.40\t1.630\t0.014\t3.271\t0.047\t5820\t110\t-4.04\t0.11\t-3.35\t0.14\t0.693\t0.034\t-5.117\t0.077\t\n", "OGLE-LMC-CEP-2999\t5.05\t0.37\t1.648\t0.013\t3.208\t0.046\t5490\t110\t-3.94\t0.11\t-3.15\t0.14\t0.781\t0.034\t-5.150\t0.072\t\n", "OGLE-LMC-CEP-3024\t5.41\t0.46\t1.782\t0.013\t3.545\t0.045\t5710\t110\t-4.76\t0.10\t-4.04\t0.13\t0.717\t0.035\t-5.874\t0.070\t\n", "OGLE-LMC-CEP-3028\t5.36\t0.47\t1.631\t0.017\t3.324\t0.051\t5970\t110\t-4.15\t0.12\t-3.51\t0.15\t0.642\t0.034\t-5.147\t0.091\t\n", "OGLE-LMC-CEP-3039\t5.57\t0.50\t1.560\t0.019\t3.128\t0.055\t5820\t110\t-3.68\t0.13\t-2.99\t0.16\t0.693\t0.034\t-4.76\t0.10\t\n", "OGLE-LMC-CEP-3064\t5.32\t0.40\t1.602\t0.014\t3.196\t0.048\t5760\t110\t-3.86\t0.11\t-3.15\t0.14\t0.710\t0.034\t-4.963\t0.077\t\n", "OGLE-LMC-CEP-3092\t5.72\t0.39\t1.635\t0.014\t3.308\t0.047\t5900\t110\t-4.12\t0.11\t-3.45\t0.14\t0.667\t0.034\t-5.160\t0.076\t\n", "OGLE-LMC-CEP-3150\t5.46\t0.40\t1.610\t0.014\t3.231\t0.047\t5820\t110\t-3.94\t0.11\t-3.25\t0.14\t0.695\t0.034\t-5.020\t0.077\t\n", "OGLE-LMC-CEP-3176\t5.55\t0.46\t1.630\t0.018\t3.272\t0.054\t5830\t110\t-4.04\t0.13\t-3.35\t0.16\t0.691\t0.034\t-5.118\t0.096\t\n", "OGLE-LMC-CEP-3185\t5.41\t0.45\t1.610\t0.017\t3.273\t0.051\t5950\t110\t-4.02\t0.12\t-3.37\t0.15\t0.650\t0.034\t-5.039\t0.090\t\n", "OGLE-LMC-CEP-3198\t5.70\t0.55\t1.593\t0.021\t3.204\t0.056\t5840\t110\t-3.87\t0.14\t-3.19\t0.16\t0.684\t0.034\t-4.93\t0.11\t\n", "OGLE-LMC-CEP-3202\t5.65\t0.64\t1.649\t0.025\t3.334\t0.065\t5890\t110\t-4.18\t0.16\t-3.51\t0.19\t0.672\t0.036\t-5.22\t0.13\t\n", "OGLE-LMC-CEP-3236\t5.37\t0.49\t1.564\t0.018\t3.121\t0.055\t5770\t110\t-3.67\t0.13\t-2.96\t0.16\t0.711\t0.034\t-4.77\t0.10\t\n", "OGLE-LMC-CEP-3260\t5.73\t0.42\t1.685\t0.015\t3.358\t0.048\t5720\t110\t-4.27\t0.11\t-3.55\t0.14\t0.716\t0.034\t-5.383\t0.080\t\n", "OGLE-LMC-CEP-3285\t6.18\t0.36\t1.772\t0.012\t3.550\t0.049\t5800\t120\t-4.74\t0.11\t-4.06\t0.15\t0.694\t0.037\t-5.831\t0.070\t\n", "OGLE-LMC-CEP-3317\t6.05\t0.36\t1.769\t0.011\t3.512\t0.046\t5680\t110\t-4.66\t0.10\t-3.93\t0.14\t0.731\t0.035\t-5.805\t0.066\t\n", "OGLE-LMC-CEP-3335\t5.89\t0.41\t1.742\t0.016\t3.475\t0.057\t5740\t120\t-4.57\t0.13\t-3.85\t0.17\t0.712\t0.038\t-5.670\t0.094\t\n", "OGLE-LMC-CEP-3423\t5.11\t0.42\t1.599\t0.014\t3.179\t0.048\t5720\t110\t-3.82\t0.11\t-3.10\t0.14\t0.722\t0.034\t-4.941\t0.079\t\n", "OGLE-LMC-CEP-3453\t5.04\t0.40\t1.539\t0.014\t3.067\t0.048\t5760\t110\t-3.54\t0.11\t-2.83\t0.14\t0.712\t0.034\t-4.646\t0.077\t\n", "OGLE-LMC-CEP-3484\t5.82\t0.36\t1.743\t0.012\t3.470\t0.047\t5730\t110\t-4.55\t0.11\t-3.84\t0.14\t0.718\t0.035\t-5.671\t0.071\t\n", "OGLE-LMC-CEP-3487\t5.88\t0.42\t1.758\t0.014\t3.513\t0.053\t5770\t130\t-4.66\t0.12\t-3.95\t0.16\t0.705\t0.040\t-5.756\t0.080\t\n", "OGLE-LMC-CEP-3518\t5.75\t0.36\t1.752\t0.012\t3.479\t0.047\t5690\t110\t-4.58\t0.11\t-3.86\t0.14\t0.726\t0.034\t-5.715\t0.070\t\n", "OGLE-LMC-CEP-3533\t6.05\t0.42\t1.885\t0.013\t3.652\t0.075\t5390\t180\t-5.04\t0.17\t-4.20\t0.23\t0.838\t0.057\t-6.343\t0.095\t\n", "OGLE-LMC-CEP-3565\t6.17\t0.38\t1.789\t0.013\t3.570\t0.053\t5750\t120\t-4.81\t0.12\t-4.10\t0.16\t0.709\t0.040\t-5.917\t0.076\t\n", "OGLE-LMC-CEP-3646\t5.71\t0.36\t1.783\t0.013\t3.577\t0.051\t5800\t120\t-4.82\t0.12\t-4.13\t0.15\t0.690\t0.037\t-5.897\t0.073\t\n", "OGLE-LMC-CEP-3677\t5.94\t0.37\t1.756\t0.013\t3.490\t0.048\t5690\t110\t-4.61\t0.11\t-3.88\t0.14\t0.727\t0.036\t-5.743\t0.073\t\n", "OGLE-LMC-CEP-3832\t5.63\t0.37\t1.849\t0.012\t3.569\t0.057\t5360\t140\t-4.84\t0.13\t-4.00\t0.17\t0.839\t0.044\t-6.149\t0.076\t\n", "OGLE-LMC-CEP-3960\t5.44\t0.35\t1.793\t0.012\t3.565\t0.048\t5700\t120\t-4.80\t0.11\t-4.08\t0.14\t0.718\t0.036\t-5.920\t0.068\t\n", "OGLE-LMC-CEP-3991\t5.83\t0.41\t1.733\t0.013\t3.488\t0.049\t5850\t110\t-4.58\t0.11\t-3.90\t0.14\t0.680\t0.036\t-5.643\t0.076\t\n", "OGLE-LMC-CEP-4033\t6.06\t0.36\t1.818\t0.012\t3.603\t0.050\t5660\t120\t-4.89\t0.11\t-4.15\t0.15\t0.742\t0.038\t-6.045\t0.070\t\n", "OGLE-LMC-CEP-4041\t5.43\t0.45\t1.624\t0.016\t3.246\t0.049\t5770\t110\t-3.98\t0.12\t-3.27\t0.14\t0.709\t0.034\t-5.081\t0.087\t\n", "OGLE-LMC-CEP-4042\t5.29\t0.42\t1.587\t0.015\t3.166\t0.049\t5770\t110\t-3.78\t0.12\t-3.07\t0.14\t0.712\t0.034\t-4.890\t0.083\t\n", "OGLE-LMC-CEP-4062\t5.38\t0.45\t1.567\t0.017\t3.169\t0.052\t5910\t110\t-3.77\t0.12\t-3.11\t0.15\t0.667\t0.034\t-4.813\t0.092\t\n", "OGLE-LMC-CEP-4094\t5.40\t0.45\t1.567\t0.016\t3.149\t0.052\t5850\t110\t-3.73\t0.12\t-3.05\t0.15\t0.685\t0.034\t-4.799\t0.090\t\n", "OGLE-LMC-CEP-4143\t5.70\t0.39\t1.822\t0.013\t3.618\t0.056\t5680\t140\t-4.94\t0.13\t-4.21\t0.17\t0.731\t0.044\t-6.090\t0.078\t\n", "OGLE-LMC-CEP-4153\t5.84\t0.35\t1.794\t0.012\t3.557\t0.048\t5670\t110\t-4.78\t0.11\t-4.04\t0.14\t0.737\t0.036\t-5.928\t0.069\t\n", "OGLE-LMC-CEP-4176\t5.85\t0.35\t1.780\t0.011\t3.562\t0.047\t5770\t110\t-4.78\t0.11\t-4.08\t0.14\t0.702\t0.035\t-5.874\t0.067\t\n", "OGLE-LMC-CEP-4194\t5.86\t0.37\t1.774\t0.012\t3.558\t0.049\t5800\t120\t-4.77\t0.11\t-4.07\t0.14\t0.694\t0.036\t-5.853\t0.071\t\n", "OGLE-LMC-CEP-4211\t5.98\t0.35\t1.788\t0.012\t3.568\t0.049\t5750\t120\t-4.80\t0.11\t-4.09\t0.14\t0.712\t0.036\t-5.910\t0.069\t\n", "OGLE-LMC-CEP-4249\t5.43\t0.46\t1.578\t0.017\t3.188\t0.052\t5900\t110\t-3.82\t0.12\t-3.16\t0.15\t0.668\t0.034\t-4.865\t0.092\t\n", "OGLE-LMC-CEP-4257\t5.18\t0.43\t1.585\t0.016\t3.222\t0.051\t5950\t110\t-3.89\t0.12\t-3.24\t0.15\t0.655\t0.034\t-4.912\t0.088\t\n", "OGLE-LMC-CEP-4274\t5.46\t0.45\t1.653\t0.015\t3.316\t0.048\t5800\t110\t-4.15\t0.11\t-3.45\t0.14\t0.696\t0.034\t-5.235\t0.083\t\n", "OGLE-LMC-CEP-4281\t5.34\t0.45\t1.658\t0.015\t3.332\t0.048\t5830\t110\t-4.19\t0.11\t-3.50\t0.14\t0.690\t0.034\t-5.264\t0.082\t\n", "OGLE-LMC-CEP-4287\t5.79\t0.45\t1.714\t0.016\t3.429\t0.052\t5770\t110\t-4.44\t0.12\t-3.74\t0.15\t0.703\t0.035\t-5.531\t0.088\t\n", "OGLE-LMC-CEP-4293\t5.49\t0.45\t1.592\t0.017\t3.209\t0.052\t5870\t110\t-3.87\t0.12\t-3.20\t0.15\t0.678\t0.034\t-4.932\t0.090\t\n", "OGLE-LMC-CEP-4316\t5.31\t0.36\t1.742\t0.012\t3.453\t0.049\t5680\t120\t-4.52\t0.11\t-3.80\t0.14\t0.728\t0.036\t-5.654\t0.071\t\n", "OGLE-LMC-CEP-4317\t6.06\t0.37\t1.844\t0.012\t3.671\t0.056\t5700\t140\t-5.07\t0.13\t-4.35\t0.17\t0.723\t0.043\t-6.206\t0.077\t\n", "OGLE-LMC-CEP-4319\t5.80\t0.40\t1.706\t0.014\t3.416\t0.048\t5780\t110\t-4.40\t0.11\t-3.70\t0.14\t0.703\t0.035\t-5.500\t0.079\t\n", "OGLE-LMC-CEP-4330\t5.33\t0.40\t1.634\t0.014\t3.267\t0.046\t5770\t110\t-4.03\t0.11\t-3.32\t0.14\t0.708\t0.033\t-5.132\t0.075\t\n", "OGLE-LMC-CEP-4396\t5.48\t0.44\t1.613\t0.016\t3.232\t0.050\t5800\t110\t-3.94\t0.12\t-3.25\t0.15\t0.699\t0.034\t-5.031\t0.086\t\n", "OGLE-LMC-CEP-4402\t5.87\t0.35\t1.788\t0.011\t3.571\t0.049\t5740\t120\t-4.81\t0.11\t-4.10\t0.14\t0.706\t0.038\t-5.911\t0.067\t\n", "OGLE-LMC-CEP-4409\t5.63\t0.37\t1.702\t0.013\t3.360\t0.047\t5630\t110\t-4.29\t0.11\t-3.55\t0.14\t0.745\t0.034\t-5.445\t0.072\t\n", "OGLE-LMC-CEP-4414\t5.85\t0.40\t1.682\t0.013\t3.362\t0.046\t5760\t110\t-4.27\t0.11\t-3.57\t0.14\t0.706\t0.034\t-5.371\t0.074\t\n", "OGLE-LMC-CEP-4440\t5.42\t0.40\t1.629\t0.014\t3.256\t0.046\t5760\t110\t-4.00\t0.11\t-3.29\t0.14\t0.710\t0.033\t-5.105\t0.075\t\n", "OGLE-LMC-CEP-4465\t5.33\t0.43\t1.567\t0.016\t3.135\t0.050\t5800\t110\t-3.70\t0.12\t-3.00\t0.15\t0.705\t0.034\t-4.795\t0.086\t\n", "OGLE-LMC-CEP-4470\t5.35\t0.44\t1.577\t0.016\t3.181\t0.051\t5890\t110\t-3.80\t0.12\t-3.14\t0.15\t0.672\t0.034\t-4.856\t0.090\t\n", "OGLE-LMC-CEP-4474\t5.45\t0.46\t1.662\t0.016\t3.333\t0.049\t5810\t110\t-4.20\t0.11\t-3.50\t0.14\t0.694\t0.034\t-5.278\t0.085\t\n", "OGLE-LMC-CEP-4475\t5.31\t0.40\t1.584\t0.014\t3.170\t0.049\t5800\t110\t-3.79\t0.11\t-3.09\t0.14\t0.702\t0.034\t-4.880\t0.080\t\n", "OGLE-LMC-CEP-4476\t5.39\t0.46\t1.654\t0.015\t3.340\t0.048\t5870\t110\t-4.20\t0.11\t-3.52\t0.14\t0.677\t0.034\t-5.254\t0.083\t\n", "OGLE-LMC-CEP-4484\t5.21\t0.43\t1.647\t0.015\t3.274\t0.050\t5710\t110\t-4.06\t0.12\t-3.34\t0.15\t0.723\t0.034\t-5.184\t0.084\t\n", "OGLE-LMC-CEP-4504\t5.31\t0.41\t1.594\t0.015\t3.208\t0.049\t5850\t110\t-3.87\t0.11\t-3.19\t0.14\t0.687\t0.034\t-4.944\t0.081\t\n", "OGLE-LMC-CEP-4512\t6.10\t0.36\t1.793\t0.013\t3.569\t0.058\t5710\t130\t-4.80\t0.13\t-4.09\t0.17\t0.722\t0.042\t-5.929\t0.081\t\n", "OGLE-LMC-CEP-4524\t5.37\t0.42\t1.603\t0.015\t3.203\t0.050\t5770\t110\t-3.87\t0.12\t-3.17\t0.15\t0.708\t0.034\t-4.972\t0.083\t\n", "OGLE-LMC-CEP-4544\t4.86\t0.36\t1.752\t0.012\t3.439\t0.046\t5570\t110\t-4.50\t0.10\t-3.74\t0.14\t0.761\t0.035\t-5.689\t0.066\t\n", "OGLE-LMC-CEP-4600\t6.01\t0.49\t1.887\t0.017\t3.646\t0.088\t5360\t200\t-5.03\t0.20\t-4.17\t0.27\t0.852\t0.065\t-6.35\t0.11\t\n", "\n" ] } ], "source": [ "out_str = '\\t'.join(list(ests_DF.columns)) + '\\n'\n", "for index, row in ests_DF.iterrows():\n", " out_str += row['ID'] + '\\t'\n", " \n", " rest = row[1:]\n", " for ii in range(len(rest) - 1):\n", " if ii % 2 != 0: # every other column contains the uncertainty \n", " continue\n", " \n", " val, unc = formatter(rest[ii], rest[ii+1])\n", " out_str += val + '\\t' + unc + '\\t'\n", " \n", " out_str += '\\n'\n", " \n", "print(out_str)\n", "\n", "out_file = open(\"ML-OGLE_LMC_CEP.dat\", \"w\")\n", "out_file.write(out_str)\n", "out_file.close()" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "ests_DF = pd.read_table('ML-OGLE_LMC_CEP.dat', sep='\\s+')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var = 'logL'\n", "mew = 1.8\n", "ms = 20\n", "plt.plot(DF['logP'], -2.5*DF[var].values + 4.77, '.', \n", " mfc='white', mec='white', mew=mew, alpha=1, ms=ms)\n", "plt.plot(DF['logP'], -2.5*DF[var].values + 4.77, '.', label='Models', \n", " mfc='darkblue', mec='white', mew=mew, alpha=0.5, ms=ms)\n", "plt.plot(logPs, -2.5*ests[:,X_columns.index(var)] + 4.77, '.', \n", " mfc='white', mec='white', mew=mew, alpha=1, ms=ms)\n", "plt.plot(logPs, -2.5*ests[:,X_columns.index(var)] + 4.77, '.', label='Predicted', \n", " mfc='#F97100', mec='white', mew=mew, alpha=0.6, ms=ms)\n", "plt.xlabel('$\\log\\;P/$days')\n", "plt.ylabel('Absolute Magnitude')\n", "#plt.ylabel('$\\log\\;L/$L$_\\odot$')\n", "plt.legend(loc='best')\n", "plt.xlim([0.4, 1.5])\n", "plt.savefig('CEP-LMC-PM-predicted.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var = 'W'\n", "mew = 1.4\n", "ms = 18\n", "for idx, star in DF.sample(frac=1, random_state=0).iterrows():\n", " plt.plot(DF['logP'].iloc[idx], DF[var].iloc[idx], '.', \n", " mfc='None', mec='white', mew=mew, alpha=1, ms=ms, label='')\n", " plt.plot(DF['logP'].iloc[idx], DF[var].iloc[idx], '.', label='Models' if idx == 1 else '', \n", " mfc='#F97100', mec='None', mew=mew, alpha=0.5, ms=ms-2)\n", "for ii in range(len(logPs)):\n", " plt.plot(logPs[ii], ests[:,X_columns.index(var)][ii], '.', label='',\n", " mfc='None', mec='white', mew=mew, alpha=1, ms=ms)\n", " plt.plot(logPs[ii], ests[:,X_columns.index(var)][ii], '.', label='Predicted' if ii == 1 else '', \n", " mfc='darkblue', mec='None', mew=mew, alpha=0.75, ms=ms-2)\n", "plt.xlabel('$\\log\\;P/$days')\n", "plt.ylabel('Wesenheit Index')\n", "plt.legend(loc='best')\n", "plt.xlim([0.4, 1.5])\n", "plt.savefig('CEP-LMC-W.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var = 'I_M0'\n", "mew = 1.4\n", "ms = 18\n", "for idx, star in DF.sample(frac=1, random_state=0).iterrows():\n", " plt.plot(DF['logP'].iloc[idx], DF[var].iloc[idx], '.', \n", " mfc='None', mec='white', mew=mew, alpha=1, ms=ms, label='')\n", " plt.plot(DF['logP'].iloc[idx], DF[var].iloc[idx], '.', label='Models' if idx == 1 else '', \n", " mfc='#F97100', mec='None', mew=mew, alpha=0.5, ms=ms-2)\n", "for ii in range(len(logPs)):\n", " plt.plot(logPs[ii], ests[:,X_columns.index(var)][ii], '.', label='',\n", " mfc='None', mec='white', mew=mew, alpha=1, ms=ms)\n", " plt.plot(logPs[ii], ests[:,X_columns.index(var)][ii], '.', label='Predicted' if ii == 1 else '', \n", " mfc='darkblue', mec='None', mew=mew, alpha=0.75, ms=ms-2)\n", "plt.xlabel('$\\log\\;P/$days')\n", "plt.ylabel('$M_I$')\n", "plt.legend(loc='best')\n", "plt.xlim([0.4, 1.5])\n", "plt.savefig('CEP-LMC-I.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var = 'V_M0'\n", "mew = 1.4\n", "ms = 18\n", "for idx, star in DF.sample(frac=1, random_state=0).iterrows():\n", " plt.plot(DF['logP'].iloc[idx], DF[var].iloc[idx], '.', \n", " mfc='None', mec='white', mew=mew, alpha=1, ms=ms, label='')\n", " plt.plot(DF['logP'].iloc[idx], DF[var].iloc[idx], '.', label='Models' if idx == 1 else '', \n", " mfc='#F97100', mec='None', mew=mew, alpha=0.5, ms=ms-2)\n", "for ii in range(len(logPs)):\n", " plt.plot(logPs[ii], ests[:,X_columns.index(var)][ii], '.', label='',\n", " mfc='None', mec='white', mew=mew, alpha=1, ms=ms)\n", " plt.plot(logPs[ii], ests[:,X_columns.index(var)][ii], '.', label='Predicted' if ii == 1 else '', \n", " mfc='darkblue', mec='None', mew=mew, alpha=0.75, ms=ms-2)\n", "plt.xlabel('$\\log\\;P/$days')\n", "plt.ylabel('$M_V$')\n", "plt.legend(loc='best')\n", "plt.xlim([0.4, 1.5])\n", "plt.savefig('CEP-LMC-V.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var = 'VI'\n", "mew = 1.4\n", "ms = 18\n", "for idx, star in DF.sample(frac=1, random_state=0).iterrows():\n", " plt.plot(DF['logP'].iloc[idx], DF[var].iloc[idx], '.', \n", " mfc='None', mec='white', mew=mew, alpha=1, ms=ms, label='')\n", " plt.plot(DF['logP'].iloc[idx], DF[var].iloc[idx], '.', label='Models' if idx == 1 else '', \n", " mfc='#F97100', mec='None', mew=mew, alpha=0.5, ms=ms-2)\n", "for ii in range(len(logPs)):\n", " plt.plot(logPs[ii], ests[:,X_columns.index(var)][ii], '.', label='',\n", " mfc='None', mec='white', mew=mew, alpha=1, ms=ms)\n", " plt.plot(logPs[ii], ests[:,X_columns.index(var)][ii], '.', label='Predicted' if ii == 1 else '', \n", " mfc='darkblue', mec='None', mew=mew, alpha=0.75, ms=ms-2)\n", "plt.xlabel('$\\log\\;P/$days')\n", "plt.ylabel('$V - I$')\n", "plt.legend(loc='best')\n", "plt.xlim([0.4, 1.5])\n", "plt.savefig('CEP-LMC-VI.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var = 'logL'\n", "mew = 1.4\n", "ms = 18\n", "for idx, star in DF.sample(frac=1, random_state=0).iterrows():\n", " plt.plot(DF['M'].iloc[idx], DF[var].iloc[idx], '.', \n", " mfc='None', mec='white', mew=mew, alpha=1, ms=ms, label='')\n", " plt.plot(DF['M'].iloc[idx], DF[var].iloc[idx], '.', label='Models' if idx == 1 else '', \n", " mfc='#F97100', mec='None', mew=mew, alpha=0.5, ms=ms-2)\n", "for ii in range(len(logPs)):\n", " plt.plot(ests[:,X_columns.index('M')][ii], ests[:,X_columns.index(var)][ii], '.', label='',\n", " mfc='None', mec='white', mew=mew, alpha=1, ms=ms)\n", " plt.plot(ests[:,X_columns.index('M')][ii], ests[:,X_columns.index(var)][ii], '.', label='Predicted' if ii == 1 else '', \n", " mfc='darkblue', mec='None', mew=mew, alpha=0.75, ms=ms-2)\n", "plt.ylabel('$\\log\\;L/$L$_\\odot$')\n", "plt.xlabel('$M/$M$_\\odot$')\n", "plt.legend(loc='best')\n", "#plt.xlim([0.4, 1.5])\n", "#plt.savefig('CEP-LMC-VI.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare with observations " ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "V_data = pd.read_table('/scratch/seismo/bellinger/asteroseismology/regression/classical/data/cep_lmc_v.dat', sep='\\s+')\n", "I_data = pd.read_table('/scratch/seismo/bellinger/asteroseismology/regression/classical/data/cep_lmc_i.dat', sep='\\s+')\n", "evi_data = pd.read_table('evi_lmc_ceph.dat', sep='\\s+')" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "scrolled": true }, "outputs": [], "source": [ "ev_mean_val = evi_data['ev_i'].mean()" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "2492de0a12b04c74bf3361df5da57fdd", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(IntProgress(value=0, max=325), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "from uncertainties import ufloat\n", "\n", "actual_Ws = []\n", "e_actual_Ws = []\n", "actual_Is = []\n", "actual_Vs = []\n", "actual_VIs = []\n", "for star_name in tqdm(star_names):\n", " V = ufloat(V_data[V_data['ID'] == star_name]['A0'].iloc[0], V_data[V_data['ID'] == star_name]['eA0'].iloc[0])\n", " I = ufloat(I_data[I_data['ID'] == star_name]['A0'].iloc[0], I_data[I_data['ID'] == star_name]['eA0'].iloc[0])\n", " W = I - 1.55 * (V-I)\n", " actual_Ws += [W.nominal_value]\n", " e_actual_Ws += [W.std_dev]\n", " \n", " ev = evi_data[evi_data['id'] == star_name]\n", " if ev.shape[0] == 0:\n", " ev = ev_mean_val\n", " else:\n", " ev = ev.iloc[0]['ev_i']\n", " #A_V = 2.4*E(V-I)\n", " #A_I = 1.41*E(V-I)\n", " actual_Is += [I.nominal_value - 1.41*ev]\n", " actual_Vs += [V.nominal_value - 2.4*ev]\n", " actual_VIs += [(V-I).nominal_value]\n", "\n", "actual_Ws = np.array(actual_Ws)\n", "e_actual_Ws = np.array(e_actual_Ws)\n", "actual_Is = np.array(actual_Is)\n", "actual_Vs = np.array(actual_Vs)\n", "actual_VIs = np.array(actual_VIs)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "mew = 1.4 # marker edge width\n", "ms = 18 # marker size " ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for ii in range(len(logPs)):\n", " plt.plot(logPs[ii], actual_Is[ii], '.', label='',\n", " mfc='None', mec='white', mew=mew, alpha=1, ms=ms)\n", " plt.plot(logPs[ii], actual_Is[ii], '.', label='Observed' if ii == 1 else '', \n", " mfc='#000000', mec='None', mew=mew, alpha=0.75, ms=ms-2)\n", "\n", "plt.xlabel('$\\log\\;P/$days')\n", "plt.ylabel('$M_I$')\n", "plt.legend(loc='best')\n", "plt.xlim([0.4, 1.5])\n", "plt.savefig('CEP-LMC-I-obs.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for ii in range(len(logPs)):\n", " plt.plot(logPs[ii], actual_Vs[ii], '.', label='',\n", " mfc='None', mec='white', mew=mew, alpha=1, ms=ms)\n", " plt.plot(logPs[ii], actual_Vs[ii], '.', label='Observed' if ii == 1 else '', \n", " mfc='#000000', mec='None', mew=mew, alpha=0.75, ms=ms-2)\n", "plt.xlabel('$\\log\\;P/$days')\n", "plt.ylabel('$M_V$')\n", "plt.legend(loc='best')\n", "plt.xlim([0.4, 1.5])\n", "plt.savefig('CEP-LMC-V-obs.pdf')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for ii in range(len(logPs)):\n", " plt.plot(logPs[ii], actual_VIs[ii], '.', label='',\n", " mfc='None', mec='white', mew=mew, alpha=1, ms=ms)\n", " plt.plot(logPs[ii], actual_VIs[ii], '.', label='Observed' if ii == 1 else '', \n", " mfc='#000000', mec='None', mew=mew, alpha=0.75, ms=ms-2)\n", "plt.xlabel('$\\log\\;P/$days')\n", "plt.ylabel('$V-I$')\n", "plt.legend(loc='best')\n", "plt.xlim([0.4, 1.5])\n", "plt.savefig('CEP-LMC-VI-obs.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for ii in range(len(logPs)):\n", " plt.plot(logPs[ii], actual_Ws[ii], '.', label='',\n", " mfc='None', mec='white', mew=mew, alpha=1, ms=ms)\n", " plt.plot(logPs[ii], actual_Ws[ii], '.', label='Observed' if ii == 1 else '', \n", " mfc='#000000', mec='None', mew=mew, alpha=0.75, ms=ms-2)\n", "plt.xlabel('$\\log\\;P/$days')\n", "plt.ylabel('Wesenheit Index')\n", "plt.legend(loc='best')\n", "plt.xlim([0.4, 1.5])\n", "plt.savefig('CEP-LMC-W-obs.pdf')#, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Estimate distances " ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "image/png": 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HrLxevXrs37+/3AMTQgghKprNSTEgIMBi+ZYtW0r0AQohhBBVkc3Np76+vmzbtg1FUSgsLCQxMZHVq1fz3XffMWTIEHvGKIQQQlQIm5Pic889xzvvvMO3337LN998A4CiKPTq1YvXX3/dbgEKIYQQFcXmpKhWq5kzZw4TJ07kyJEjqFQqmjRpQtOmTe0ZnxBCCFFhyvyQYT8/P/r372/8HBcXR1paWqkjR4UQQoiqwGpSnDp1aonHL1ly6dIlunXrJklRCCFElWd19GmNGjXIyMhAURQURSE9PZ0zZ84YPxteN2/eNK5EI4QQQlRlVmuKPXr0YMGCBTg7OwPw4Ycf8vzzz1OzZk2z/RITE/nuu+/sG6UQQghRAazWFMPDw40JEfTPSyyeEAGCgoLYuHGjfaITQgghKpDNk/fj4+MpLCwsUb5lyxYKCgrKNSghhBDCEWwefdq1a1dGjx7NqFGjaNCgAdevXycqKoqIiAgGDx5szxiFEEKICmFzUhw5ciR5eXnMnz+f3NxcFEUB4IEHHmDWrFl2C1AIIcpLZmYmV65ckdatKs7JyQlXV1d8fHxwdXUt33OXZee///3vDBs2jIMHD5KTk0Pjxo1p2bJluQYkhBD2kJmZyeXLl2nYsCFubm6oVCpHhyTugGGp0aysLM6fP4+fnx+1a9cut/OXefJ+zZo16dWrl1nZ77//Tp8+fcotKCGEKG9XrlyhYcOGuLu7OzoUcRdUKhXOzs7UqVOHGjVqkJKS4pikmJqayooVK4iPj+fmzZvGckVROH36NPv27Su3oIQQorwVFBTg5ubm6DBEOXJzczPLR+XB5qQ4bdo0YmNjadGihdlUjYKCAmmfF0JUCdJkWr3Y49/T5qQYGxvLTz/9RGBgYIltW7duLdeghBBCCEeweZ5ijx49LE7eB/0IVCGEEKKqszkpTpkyha+//ppLly6ZvS5evMiXX35pzxiFEEI4QG5uLseOHbNp3/z8fKKjo+0ckf2VqU/x/PnzfPXVVxa3v/LKK+UWlBBCCOv27NnDmjVr2LlzJ/379+eTTz6xuN8rr7zCTz/9RNu2bZk+fTo9evSw+Rpnzpxh1qxZuLm58Z///KfUfU+dOsXbb7/NwYMHOX36dJl+l8rG5qT40EMP4enpia+vr1l5YWEhmzZtKvfAhBBCWNa9e3cA9u7dy6+//kp8fDz33Xef2T7JycnGWQEjR44sU0IEaNasGb169bJpZkFISAjDhw/n4MGDZbpGZWRzUhwxYgTBwcGo1SVbXO+///5yDUoIIaqCpKQkEhISCA4OtjgI0Z6cnZ0ZNGgQmzZtYtmyZbz33ntm21etWsWTTz7JBx98YDZjwF4s5YaqyGpS/O233/jb3/5m/NykSROrJ0lKSiI4OLhcAxNCiMosKSmJNWvWoNVq0Wg0jB07tsITY1BQEA8//DCbNm1i2rRpBAUFAXD9+nUSEhLMvsNBv6rPsmXLCAoKIjk5mePHj/PSSy/RqlUrANLT03n//fcJCgrC1dWV/fv3mx1/9OhRtm7dSm5uLgcOHGDq1Kk89NBDFmO7dOkSK1eupHXr1uzevZu6devy73//2w53oXxZTe2RkZHk5eXd9gQ5OTn8/PPP5RqUEEJUdgkJCWi1WhRFQavVkpCQ4JA4Jk2ahE6nMxvwuG7dOp588kmz/RRFYcqUKbRo0YJRo0YxY8YMBg4cyFNPPcWFCxcAePHFF+nevTuTJk3i6aefpmHDhsbjMzIy+Pzzz3n55ZeZPXs24eHh/OMf/+Dy5csW41qzZg2+vr6Eh4fz3nvv0bRpUzv89uXPalLcuHEjHTp0ICQkpNRXp06dJCkKIe45wcHBaDQaVCoVGo3GYa1lzZo1o1+/fvz444+kpKRw8+ZN9u/fX2I5zmPHjrFv3z66dOliLBs+fDhOTk6sX7+eqKgoDhw4QL9+/YzbGzRoYHy/YcMGsrOzWb58OcuXL+fq1at07tyZpKQki3EFBQXx2WefGR9CP3LkyPL8te2m1D5FLy+v2y6LlJ2dTWZmZrkGJYQQlV1gYCBjx451WJ+iqUmTJvHrr7+yYsUKmjZtyrBhw0rsc+nSJUD/nW2gVqsJDAzk0qVLxMbG4uTkZLX/MTExkdatWzNhwgSbYnriiSfIyMjgzTff5JtvvmHevHm0bt36Dn67imU1KY4bN87mR0ItXLiw3AISQoiqIjAw0KHJ0KBNmzZ0796d7777jnbt2rFy5coS+zRq1AjQPzDedIzIzZs3ady4MTVr1qSgoIDExESLtV5vb2+2bt3KK6+8Yjao5uDBg3Tq1KnE/hcuXGDKlCkMHTqUt99+m6effpo9e/ZQo0aNcviN7cdq86lpFfp2+vfvXy7B3Ilz58457NpCCOEo2dnZ3Lhxw/j5hRdeIDc3lwEDBqDRaAD9hHrQT50LCQmhZ8+erFy50vg83MTERDIyMnjiiSfo2bMn7u7ufPDBBxQWFqIoCn/99RfXrl0jNzeXgQMHcvbsWV5//XUSExO5cOECb731Fh4eHgDodDoA47nXrVtHdnY2AQEBLFy4kNzcXAoLCyvs/twpq0mxLNMsOnToUC7B3M5ff/1FSEgILVq0ML5+/fXXCrm2EEJUFnv27GHZsmX88ssvbNiwAYDOnTszYMAARowYAcChQ4dYu3YtAN9//z1RUVF8+OGHhISE8Nprr/Hll1+yYsUKVqxYQd26dfHz8+Pzzz8nKSmJPn368PLLL+Pt7U3jxo3Zu3cvzZo1Y8mSJRw5coShQ4cyY8YM+vfvT8uWLYmLiyMyMhKAb7/9lqysLDIyMpgwYQLfffcdX3/9NQsWLDAm0MpMpRjSehUwe/ZsWrRoYXwemlqtpl+/flbXZDV14cIF+vbty/bt2wkICLB3qEKISubUqVOEhIQ4OgxRzkr7d72T7/0yP2TYUS5fvsy1a9d46qmnHB2KEEKIaqrKLEGwatUqtm7dSq9evXjttdc4efKko0MSQghRzdicFA0dtsWdPXvW6rby1KJFC5577jl8fX35/vvvGTlypHH+S3GZmZlcuHDB7JWSkmL3GIUQQlRtNjefLl682OIUDT8/P95++23efvvtcg2suPDwcOP76OhoZs6cyZw5c+jQoUOJhXBXr17N0qVL7RqPEEKI6qfUpJifn8+RI0cASElJ4cCBA5iOy9HpdMTHxxMZGWn3pGiqS5cufP311wwdOpTIyEhefPFFs+3jxo0rMXk1JSWFMWPGVFiMQgghqp5Sk6KLiwtxcXHMnz8frVbL1q1bzbYbEmTfvn3tF6EVTZs2pVOnTqSmppbY5unpiaenZ4XHJIQQomq7bfPpmDFjCAgIICIigtGjR5ttU6lU1KlTp0TzZUWpXbs23t7eDrm2EEKI6semPsVevXrRtm1b6tata3G7Tqer8GdpFRYWcvLkSZvX4RNCCCFux+ZMZi0hAmzatKlcgrEmOjqaKVOmsGPHDmPZJ598wpAhQ2jTpo1dry2EEOLeYbWmuGDBAkJCQhg6dCg6nY65c+dSUFBQYr+CggKio6N55JFH7Bakp6cnFy9eZOrUqfTq1YtGjRrRpUuXEo9GEUIIIe6G1aS4detWrl+/ztChQ1Gr1Vy9epXo6Gi8vLzM9isoKCAtLc2uQYaEhBjX9xNCCGF/Op2Ow4cPW3wChr3l5+dz8uRJ2rdvX+HXtpoUN23aZPZcrUceeYSZM2fSuHHjEvv+97//tU90QgghSjhw4AAffPABBw8eJCwsjPr165OSkoJarWbs2LF33YqWnp7OokWL+PHHHzl9+jSgrygtWLCAzZs32/XxTxcvXmTu3LmcPXuW3377zW7XscZqn6KbmxtOTrdy5kMPPWR1QdXBgweXf2RCCCEs6ty5s3FBkxdeeIH58+ezcuVKunbtyoQJE/jll1/u6vx169YtMde7devWPPvsszYnxH379hnnuZdFw4YNefjhh8t8XHmxeaCNs7MzERERfPbZZ4C+2XTp0qX8+eefMidQCHFvioqC+fP1PyuYaaXFYOTIkQD8/PPP5X69hg0b2vxAhri4OF588UXy8vLKPQ57s3mZty+++IIlS5bQvn17Jk+ejLOzM1OnTuXFF19EURTCwsLsGacQQlQuUVHQty/k54OLC2zfDg7+HszJyQEgNjaWV199FT8/PxRFYd26dXzyySe0a9eOr776isLCQg4ePEjz5s3597//jbOzM1qtlo8//pjCwkLq16/PiRMnzM59+vRptm3bxhNPPGGcjXDw4EF27tyJl5cXu3btIjw8nPDwcLZu3UpGRgYRERHEx8czZswYUlNTWbNmDQUFBRw4cIAePXoYVyPLzc3lvffew8vLCy8vL/bt21exN86EzUkxIiKCDz/8kOjoaLPyUaNG8dFHH0lSFELcW3bs0CdErVb/c8cOhybFzMxM5s2bR82aNVm+fDkzZszg1KlTLFu2jObNm9OkSRPefvttJk6cSOPGjUlPT6d79+4EBATw3HPPsXTpUq5fv87cuXMB+PHHH/nhhx8ASE5OZsOGDcblNevWrcvhw4f58MMPWbNmDWq1mlq1avHmm2/y6KOPEh4ezieffMLQoUPp0qULAK+//joLFizAy8uLEydOMHz4cJo1a8bDDz/MG2+8QbNmzXj++eeNv4ujnoRkc1Js3bo1Dz/8MIcPHzYrVxTF2BErhBD3jN699TVEQ02xd2+HhLFq1So2bNhAamoqQUFB/PjjjwQFBVG7dm0aNGiAv78/Q4YMISMjg23bttGkSRPjsT169CArK4vc3Fy++uorli1bZtzWoEED4/v69evTu3dvvv76a2PZl19+Sd++fY0Lt4wcOZL+/ftbXMjlxIkTxMXFsX79ekCfN7p160ZaWhrnz58nIiLCbBlR02tXNJuTYq1atUqUFRYWsmLFCovbhBCiWgsL0zeZ7tihT4gOqiU+/fTTxtpYcSqVyvg+KSkJJycni6uAnThxgvz8fFxdXW2+7rlz53jggQfMymrXrm1x38TEROrUqWN27YkTJwIYk2FZrm1PNg+06dq1K/PnzyclJYW9e/eybt06hg0bRlRUlLFzVwgh7ilhYTBrlsP7Em1Rt25dMjIyOHbsmFn5oUOH8PDwACA+Pt7m8/n4+LBr1y6zsmvXrpGenl5iX29vb+Li4ko81/bAgQPUrFmzzNe2J5uT4oABA+jQoQNxcXGMHz+et956i/T0dF555RWmTp1qzxiFEEIUU1hYCIBWq7W4XVEUs0f9BQQE0L59e15++WX27dtHeno6ERER7N+/n0aNGtG6dWtWrFhhfPLQuXPnAP1j9xRFQafTGc8LMGzYMPbu3cu7775LfHw8R48eZeXKldStWxd3d3cA0tLSyMrKolWrVvj4+PDiiy9y7NgxUlNTWb16NYmJiXTo0AF/f3+WLl1Kdna28drZ2dlkZmba4c6VrkyreA8cOJAtW7YQHR1NdHQ0e/fuZfz48cabJYQQwv4OHDjAxo0bAVi3bh1//vmn2fbt27cTHx/PwYMH+f33343lH374IcHBwbzwwguEh4dz/vx5nn/+eVQqFR9//DFBQUE88sgjTJgwgWvXrnH//fezfft2/vrrLzZv3gzA999/T0ZGBsOGDWPmzJls376dUaNG8c033/Dcc88B+lrpwIEDmTdvHqtWrcLDw4MvvvgCFxcXxo4dy+jRo3FycmLEiBG4ubmxbNkyVCoV/fv3Z9q0aajVatq2bcu2bdsq6I7eolJM/5S4Azqdjs8++6zS1xYvXLhA37592b59u9VFCIQQ1depU6cICQlxdBiinJX273on3/s2D7SJiYnh3Xff5cyZM9y8ebPE9sqeFIUQQojbsTkpzpo1C1dXV/7+97+bLfNTUFDgkCquEEIIUd5sTopXrlxhz549uLm5ldjWvXv3cg1KCCGEcASbB9rcf//93Lhxw+K2Ro0alVtAQgghhKNYTYrXrl0ze02fPp1ly5Zx6dIls9f58+f59NNPKzJmIYQQwi6sNp+OGjWK8+fPm5UZFpa15M033yzfyIQQQogKZjUp9unThzp16uDr61vqCQoKCozzZYQQQoiqzGpSHDFiBM2aNbPpJB07diy3gIQQQghHsdqnaGtCBDh69Gi5BCOEEEI08/k9AAAgAElEQVQ4ks1TMs6dO8eSJUuIj483m7yvKApXrlxh+PDhdglQCCGEqCg2J8Xp06dz48YNOnXqhIuLi7E8Pz+/xIOHhRBCiKrI5qSYnJzM1q1bqVu3boltkhSFEEJotVqOHTtG8+bNjU/KqGrK9Oio/Px8i9tk8r4QQjjWq6++yl9//eWw6yckJDB9+nRGjRpl8ZmKVYXNSfGRRx7ho48+Yv/+/Wavffv28dFHH9kzRiGEqJSiomD+fP1PR0pJSWHjxo189dVXZT52+fLl5RJDcHAwY8aMKZdzOZLNzaeGJ2Rs2LDBrFxRFFQqFfPnzy/34IQQorKKioK+fSE/H1xcYPt2CAtzTCxr1qxhwIABRERE8OKLL+Ln52fTcT///DMffPABEyZMKJc41OoyPaK3UrI5KQ4YMICJEyeWmMxfWFjI//73v3IPTAghKrMdO/QJUavV/9yxwzFJMSsri+TkZN544w22b9/O119/zaxZs8z2+eGHH0hJSUGlUrF3715mzpxJYGAgv/76K4qi8Nlnn9GqVSucnZ2ZOHEiEydOZNq0aezfv59//OMfdO/enQULFgCwZcsWDh8+TLNmzdi+fTvjx4+nc+fOFf+L24nNSfGxxx7D19fX4l8CTZs2LdeghBCisuvdW19DNNQUe/d2TBzffvstjz/+OF5eXgwfPpz169czadIk6tSpA8DXX39NamoqM2fOBODs2bN88sknfPnll/Tu3ZtffvmFyZMnG89nWvG5//77ady4sfGzTqfjX//6Fx9++CF/+9vfuHnzJvPmzeOHH36ooN/W/myu6/r7+3P+/Hl27twJ6KdirF69mtTUVJur6kIIUV2EhembTN9+23FNpwUFBRw4cICwoos/88wz5OXl8c033wD60aDLli1j8ODBxmPmzZt3x+NA1Go1a9asoXv37ly+fJm4uDiuXbt2979IJWJzTfG3335j2rRptG3bll69euHi4sKwYcP45z//yezZswkKCrJnnABERkYSFRVFUFAQx44dY+TIkfTo0cPu1xVCCEvCwhzXjwiwadMmbty4wauvvmos8/Pz45tvvmH8+PFkZ2dz7do1VCqVcbuLi4vZXPOyqlmzJu+99x5du3alTZs27N69+65+h8rG5qS4ZMkSHn/8cbKysoxlnp6ejBgxgkWLFrF06VK7BGjw3XffsXTpUjZv3oy7uzspKSkMHjyYZcuWVav2bCGEsNXPP//MqlWrcHZ2NpZFR0czduxY1q9fz1NPPYWzszO7du2iVatWxn3OnTtHkyZNbLqGoijG98nJyTz++OOsWrWKtm3bVqtmUwObm08bNGjAG2+8YWynNqhXrx779+8v98BMZWVlsWjRIoYOHWqcEOrv70/Pnj1555137HptIYSojLZt20a7du3MEiJAly5dCAkJYcWKFWi1WoYMGcLnn3/OunXrOH/+PNu3b+fAgQMAxu/T1NRULl++DECdOnU4ceIEiqJw7tw5Ll26RHZ2NgAxMTFkZWWhKAparZaYmBhu3LhBQUEBOp0OnU4HmCfSqsbmpBgQEGCxfMuWLcYbYS+7d+8mMzOT0NBQs/LQ0FBOnTpFXFycXa8vhBCVye7du3nnnXdISkoiISHBbNuBAwfQarVcuXKFmTNnMm3aNB555BE+/vhjnnzySU6fPs3IkSMBCAsLo2nTpjz77LPGRDljxgxOnDjBQw89xO+//86DDz5IzZo1OXXqFF27dqV169Y888wz/POf/6Rfv36AfuGAxMRE40yEiIiIKjuB3+bmU19fX7Zt24aiKBQWFpKYmMjq1av57rvvGDJkiD1jJDY2FtDXVk01bNgQwLiskEFmZiaZmZlm+6akpNg1RiGEqCg9evRgx44dFrd17tyZn3/+2azsnXfesdiqVrt2bSIjI0ucu7R+wuJNpqYthYsXL2bx4sW3C79SszkpPvfcc7zzzjt8++23xpFNiqLQq1cvXn/9dbsFCJCRkQGAh4eHWbmh6p+WlmZWvnr1arv3cQohhKh+bE6KarWaOXPmMHHiROPzE5s0aVIhcxQNI6VMR1AZYgJKtKmPGzeOYcOGmZWlpKRUiyWIhBBC2I/NSdHAz8+Phx56iMLCQnbt2kV+fj4hISH2iM3I29sbwNjZa2D4XHyepKenJ56ennaNSQghRPVj80CbsWPHMn/+fK5cuQLA5MmTmTx5MuPGjWP9+vV2CxCgdevWQMl+weTkZABatmxp1+sLIYS4N9icFN3d3Zk1axa+vr78+OOP7Nq1i0WLFhEdHV1i9FN569atG15eXhw5csSsPCYmhrZt29o830YIcW+rylMFREn2+Pe0OSn2LlrYLzs7m8WLF/Pggw/y6KOPolKpCAwMLPfATDk5OTF58mQiIiLIy8sD4MqVK/z2229MmTLFrtcWQlQPzs7O5ObmOjoMUY5yc3OpUaNGuZ7T5j7Fv/76i9OnT/Ppp59y/fp1XnvtNeO2HTt28MQTT5RrYMWNGzcOFxcXZs+eTfPmzTl+/DiLFi2iT58+dr2uEKJ68PX15eLFizRs2BA3N7cSA/dE1WCYFnjjxg27rL1tc1J86KGHmDx5Mvn5+SxZsoSmTZvy+++/s2zZshLNmvbyxBNP2D35CiGqJ8Pgu0uXLlFQUODgaMTdcHJywtXVlaCgIFxdXcv33Lbu2LlzZ7Zv325W1qdPH6mpCSGqDBmZLm6nTI9JzszM5OTJk4D+0VE//vijsY9PCCGEqOpsToqHDh2ib9++vPXWW4B+Qv0DDzzAjBkzSqwoI4QQQlRFNifFBQsW0KFDB7NOzYYNGzJw4EDef/99uwQnhBBCVCSbk6KHhwfLly8vMdInKCiIXbt2lXtgQgghREWzOSlamyC/d+9ecnJyyi0gIYQQwlFsHn1qeJ6WYW5PdnY2a9euZdmyZfTo0cNuAQohhBAVxeakOHnyZKZPn050dDSRkZGkp6ej1Wpp3rw5s2fPtmeMQgghRIWwOSnWqFGDL774gpiYGGJiYgB9k2r37t2Nj3ASQgghqjKrSXHbtm3069evRHn79u1p3769XYMSQgghHMFqFW/hwoXs3bu3ImMRQgghHMpqUtRoNPz888+MGjWKxYsXEx8fX5FxCSGEEBXOavPpP/7xDwYMGICiKERFRbFs2TIuXrzIgAEDGDRoED4+PhUZpxBCCGF3VpPigAEDAFCpVHTr1o1u3bqRnZ3N5s2beemll1Cr1QwaNIiHHnqIunXrVljAQgghhL2Uadioh4cHPXv2pFu3bsTHxzN37lx69uwpUzKEEEJUC1ZriklJSQQGBgL6hzru3LmT9evXs2vXLrRaLa6urjz66KMMHz6cLl26VFjAQgghhL1YTYoRERE88sgjRERE8MMPP3D58mUURaF9+/aMGDGCQYMG4eHhUZGxCiGEEHZlNSkuXbqUTz/9FEVRAKhfvz7vv/8+nTp1qrDghBBCiIpU6oo2bdu2ZfTo0XTq1Ilff/2Vd999l6CgIIYOHUrPnj3RaDQVFacQQghhd1aT4pNPPsmcOXOMn5977jmee+45jh8/zoYNG1iwYAG9evUiPDycVq1aVUiwQgghhD1ZHX369NNPlygrLCzk4sWLJCYmkpSUxJo1axgxYgSzZs2yZ4xCCCFEhbBaUywoKDC+j4uL43//+x8///wz165dQ1EUAgICGDp0KI8++iiNGjWqkGCFEEIIe7KaFD/77DPatm3Lxo0bOXHiBIqiUKtWLR577DGGDh1K586dKzJOIYQQwu6sJsVNmzYRGRmJRqOhV69eDB06lL59++Li4lKR8QkhhBAVxmpSdHNzY+LEiTz++OOyjJsQQoh7gtWkOH36dIuDbYQQQojqqkyjT4UQQojqrNTJ+8JcUlISR44cASA0NNS4NqwQQojqocomxatXr1KjRg08PT0r5HpJSUmsXr0arVYLQExMDOPGjSMwMJCDBw9y8uRJ4yIGhvedOnUiKSmJhIQEgoODuXLlCidPnsTDw4Ps7GzjPkIIISqHKpMUn3jiCQ4dOmT83LhxYzZv3lxh109ISDAmRACtVktCQgJXrlxh48aNAJw7d864/dy5c2RkZBAdHY1Wq0WlUqHT6czOee7cOeLj4+nWrZtZwkxLS8PJyQkfHx9jjdRQS83OztbPE71wgcYJCWS7ueGrVuMVHg5hYRVzM4QQopqqEknx4MGDNGjQgJEjRxrLWrVqhUqlqrAYgoOD0Wg0xsSo0WgIDg5mx44dVo85efIkWq0WRVGMC6sXFxsbS1xcXImECXD+/HkOHz7MoEGD2Lx5M6HR0Tx4+DCuOTl4Z2QY91MAZdEiCpydUTs749S8Odm+vlx3dSW/TRuU1FTcH34Yv/Bwsybg+vXrk5OTQ3BwsDQFCyEEVSQprly5ktmzZ+Pn5+ewGAIDAxk3blyJPsVWrVqZ1RBNtWrVqtSaooG1csO2Q4cOERodzZCiGqmBCn1CVBf9dC4ogIIClJgY3AF3gJ9+AkBZvpwCd3eO9OvHZR8fghMSuOTmRtP4eFQ3bpDs7Ey9jAycW7QALy/S+/ThxIMPlpowTZuGJakKIaqDSp8U4+Li2LZtG3v27KFjx44MGTKE8PBw1GqrA2ftJjAwsMSXv6FP0FqfYosWLSz2KaalpZGSkoKiKKUmTABPT09anToF6BOhKVWxn8UpJtuccnIY/NNP6NRqVDqdxWOUffsAqLN1K2EqFQXOzuQ7OaHKz6fQzQ1nwEmlokBRcHNyorG7O4c7dsTl2WfxO3WKyyEh7HfS/7dydXUlOTlZ+k6FEFWGSrHWrldJnDx5kp07d3Lq1Cl27txJXl4e3bt35/PPP7e6uk5mZiaZmZlmZSkpKYwZM4bt27cTEBBQEaHflrVBOMnJyaSlpaEoChqNhnHjxuGxdi11Sll43VBrvF2DsuEfu/j+SrGysv6n0KpUqIv+K+mAAhcXbnh64lRQQO3r11HUarQeHuh0Opy0WvI9PbnUowduN29ScOECN728SB08mEajRhn/8DDcn5s3b0pyFUKU2YULF+jbt2+ZvvcrfVI0lZ6ezhtvvMHWrVuZMGEC//znPy3u98knn7B06VKL2ypTUiyNxabJ5cu5+fnn5Gdl4ZqXB4pCnk6HR0oKqjL8MxoSn2lChNsn1NLOZzj+bv8zZXh5oWg01MjN5UatWuS5ulL7+nWcCgvJdXMj9qGHuOrvT+DZs6S0bEnAyJF06tTJOAK4fv361KhRw2KTrjT3CnFvqTJJMSUlhcLCwtvu5+fnh7Ozs1mZTqdj7NixXLx4kd9//93icVWlplhuoqJgxw44cQK2bqVQpSLH0xO3vDyU3Fy4cQOnwkLUXl4wfz6Zhw9T64svjIeb1hhvl9gs1UhLS6ql1V6tned2dCbHJTZqBHXqoMrIwC0nhxx3d1zz8qh14wY3AgI488ADNLxyhZycHPa3bElSQABOTk6MHTvWbDqNIZm6u7uTnJwMlD4X1XQajtRehaic7iQpOqRP8cknn+TixYu33S8yMpKmTZualanVah577DFef/11q8d5enpW2PzFSiEszGw6hhNQ2m/vCdChAzc/+4zMWrXQ/fOf+EVFwfLlUFiI6r77yE1LwyklBZWhiTovD41Wa7F5VVGpUCmKWZm1pljTz9b6R0tjGFhkOE9wYiIkJlrc1yMuDv+4OOPn1nv2kFa3LglNmpBWty7Zrq7oPvuMlkCKvz8N4uOpl5aGm7c3Z++7jzN5ebhMmUJ+p04kJCQYE2ZqaiqJRdc0DLLy9fU1DsIy9KWWVmstTmqxQlQODkmKW7ZssTpFwZS1PkMvLy/q1atX3mHdWyZMoMaECfgYPoeHw8KFxs1ulo4x1Ei9vVEdPgwpKeDvj2rsWBI2bsTn009xzcxEbZIgDT913BolWzxZ2trsamjyLUtzb/HaaL30dOqlp6McPoxOp0Nj4f+hz9WrhMTG6q+zbRuX/f2p5+WFa24uATk5pHl7o33wQVrExhJy6hR/7dnD6l69zOaxwq2EGXjhAgNq1KDhmDEcdHEx1jANiTQ1NZXz58+jKIqxFgsYk6Thvbu7u0yhEcLOqlSfosFHH33EjRs3Sq0tFncn1Whxh6KiuLZhA1d0OvOFBYqSaqy/Pxm7d9Pq11+peeGCMVmm162LVqNBo9XimpdHTp06ZDs54Z2WRs2srNsmQUu1UrDchFs8sVpqyi0tWRuSvEGWuztpPj7UTUvDqbCQm87OuN28CYBzfr7xd8zy8CCtXj1SfXw4GhrKhcBAApKSCE5IICE4mAuBgQQFBZGUlGQcaAVQPyHBuE9K48bG5t/iNUxrNU6piYp7UZVpPrVVfn4+r7zyCs2aNWP8+PG4ublx8uRJoqKiWLZsmaPDE9aEheEVFoaXhXLCwmgJ8MwzAMSuXEnu5s24PfwwHv36Gb+46wUGUhN9392ekydpmZFBrS++oGZmJmne3gTl5aHUqEEGoM7MpFFRc6YC3HRxwTU/3/jZwFKTr2m5pQRoLRGrTbYrQM2cHGqaNOO65eVZPE+t7GxqZWcTnJhI5wMHiG/ShCbnzqECdCoVhzt1wuXmTYYnJJDj4cGFgABS/P0ZuGULGq0WrUbDmnHj2LFjB/Xr1ycqKgqdTodarSYsLIzo6GgKCwtRq9UMGjTIOAgpMjJSP/LXpD9VEqUQJVXqmqJWq2XmzJns3LkTb29v+vTpg7+/P4899hg1a9Ys07mkplj1WfsSP3jwIFciImiXno5Tv36ciY+n66uvojb0gWo0xvfX/fzIuv9+jmg0DNi4EU1Rk6eKWwN4SqshWtpmyzQYa4OQSjtv8eMN+xQ4OaHW6SjUaDjdsiXOBQV43rhBWt261E9JwTU3l0KNhsv166MMHEjysWPkuLnhnptLQnAwHv36UbNmTWJiYowJ9b777qNmzZqEhoYapwcVX7/3ds23kmRFZVPtaooajYbFixc7OgxRSVhaPAGKFlAwGQHqB1y+7z5yNm/WL2/n5wc7dqDq3dtYg1WSkjg+YACeGzYQtH27fo6lk5N+ST6tFkWlIs/bG51OR6qHByog6Px5MKldGppEwXot03R78ZG7lkbyljbf1HAu56KR2xqdjnbHjhm3Nyw2eK3O9esQG0tLk/PqNBpWA9nAiL178U5NJbVePaIefBCPy5e5eeoUTu7uhOXkcCokhP2DB3P16lUaJCYSnJBAYuPG7AoOZuzYsWRv24bqP//BydmZ4x06cNTDw9jka+gXtfWpMpJQRWVRqWuK5UlqisIqwwCi3r31nw3vi0b0/vDDD5w5c4Z22dm4/vknWa6uDNyyBSetFopWIlKAy/7+eBTNIXU2mXKU5eNDzatXbQ7HWt+oJZYWYLC03fTnqZYtaREXh9pkFaXifaQGp1q2JN3bm7CoKFSKYmy+dXFx4Ynly401bR0QOWQIhzp3BqBBgwakpKQYV2rSaDQ836YNfr/8oj/x2LHG+2v6BJqgixfp7+LC1dat8R4yROaairtS7WqKQlSIYlNaij9tZPjw4cb3hi/l9KJl7fD2hrQ0roSEEO/tTXBwMPtOn0a3bBmtT53C7amnqPvqq8bBR2fS06l34AA+Fy+SoyjEtWhB3bQ06ubmomvaFL+dO0GrRQVk1qpFraws40pB1ljrN7VW5nnjBupiy/wV7yM1/GwZG2u+lKBWS3BCAp7Xr6MpitNw/KCNG7lStD5x8O7dqIsGDoF+oFC9t97Sr80LaL/6ij1vvUVSQAB1YmMJi44mx82NhzdvRq3V4qfR8J/Dh2nWvDltrl7FKzycpIAA1qxZY0ye4V5e3AwL4/revQTu24fbmDEwYYLZv5MkT1FWkhSFKAOzJtzwcGO5X9HLsA/9+pkfWDT46H6TotMHD/LXyZO4tWqFv6H5NyqKi2vXcrRuXXyHDuXG1q3UjojAV1Fo2KABpKdTePQoZGaidXIivk0bVDk5xj7FBpcv46nVonZ1JTUwkAM+PvgnJ9Ph0CHUOh06jYbDHTpQPyUFtckUEtMpM8WTpWmSVFQqctzc6FX0dBjT/k410O7IEdrHxJgNCroQGEhwQgKqggIw7FtYiHb7dvKDgxmwerVxDqxaUfTn02rpuns3961ciaawEN377+P0wAP4t25Ni9hYuu3da+wH9i2KVdm1i4Q1a7gRGMjBWrVICghAo9HQpUsX47zRemfOEJyQYPFRa5JIBUhSFMJhOnXqVHI1nLAwGoaF0fDWTlBszVsnk5+tudW826xZM0JNarX1gfZJSWzfvp2je/YY+wRDJ01C89pr5Lz5JkpsLLRsSdKoUVxbs4YHij0KzTD4SAcoajWRgwbhnptrrGka5p0CaIsW6ddotfq5qkW1yguBgSQEB6PTaFAZmls1GhKCgwlOSDDuX3xJ/Fo3bqApLNQnZp0O/z//ZFx0tHFuqSERG94rQPDevSgqFSFFCRlA9fvv5AcHkwj0KkrABR9+SMS0aTRq1IiaBw9y8b77+LNoYf7iifRulw2UZFu1SFIUooozbd4tLjAwkKeffpqkvn1JSEjgIZMvZvctW4z7GabJ7Jg/n1obNqBWq6nzt7/hVVjI3tOncc3KIrFxY4JGjUL3xx9od+40DkjKadiQix4e/PHggwB0OHoUCgvRqdUkFC0+cCEwkNVPP027ooE3hjmaAFqNRn8utRoUxbxGm5yMYtLUqzZJiIafxReEMCTk4rXWmPbtbyXswkIa7dpl3H6fRkNiUa3W/6+/jIl0b9E80vyEBA507Ihzz56EhoYCGJtyTUfvFn9GaVJSEmvWrDFOkwkLC7N5lSPhGJIUhbgHWBu5W1zvWbNK1EzbFdV0jAm1Xz8ut2tnHN2b36kTPxQlCI1GQ9r//R9+p04R5++PrrAQf52Oy5cvcyEw0JgIDS4EBrJm3DjjwgSA2UIGAIM2bbr1BBaVCk2xJQV1RXNODU3AOpUKXdGiB6a1VriVgC1tD05IAGBsUW1Sq9GwZeDAW3NEd+5kTXo6Xx88SFBQkHH9Zq1Wy+nTp0vcy9q1a+Ps7GzcT6fTsXfvXgBUKhWDBw8u0VJg+hBwQ/KVWmbFkqQohCiVpYTqFx5u1qc6duxY45e3X2AghIfTkqIaKLe+7A8XLa8H+sSgVqu51KiRWbK8EBiIWq1GpSgc7dqVZsOH4/rdd6RevcqR0FB8L1+mw+HDFDg5GVcGAmh15Qr5tWpRePmyMcG2j4kxJsGjoaEcDQ01S8Cm24s35ypaLSGnTllsDj5//vxt79v169etblMUhY0bN/Lnn39Sr149unXrxpUrV9i0aZNxCcxDhw4Zn7WqUqno1q0b/Yr3VRfd2z/++IPMzEw6duxY6gL1spD97UlSFELctdvVRA3bQ0NDSywEACXXdjWUGWtIzzyDJimJ5kXP1/y9qL8vOjraWEPt/8YbBAYG8sMPP3ChaP7mmnHj6JiZyZE6dbjYsCEajYZGo0eTV1Sz29agAS5//GFWMzWtTSZ26kSjxESzxFmeUlNTSU1NNdY0TWfIKYpi/KwoCnv37qVOnTpmySwpKYlVq1YZ/9C4dOkSx44do2/fviWW+fvjjz+IjY0F9OvyxsfH061bN1kOsBhJikKICmMtedpSZunYFi1alPgSHz58OI0aNdLXiIYMoUOnTtQr9mVvWuM6ePAgN6OjqacoNHrwQdZqNASePUtS06b0ff11zg4cSNr33xPr729Wo1Wr1SiKglqtpmHDhretPapU+p5QS1PDbZ0ufvLkSbOkmJCQYEyIBomJiaxevZpx48aV6Nc0FRsbS3x8vNmyf2tMmsEHDhxo02PUoGSzb1Ve8UiSohCiyiptlSPT5FFaTbb4vklFibavSS2VZ57BtSh5KopC165d8fX1LbEY+5EjR8jKyiIvL4/s7Gy8vb1p1qyZWQ34yJEjXL161SyJGpqSDQlOURSLSbRVq1ZmsQcHB6NSqUokVa1WS0JCAoGBgSQkJJR4gktp+ymKQmFhoVlTbkxMjDHJFme6+IK1fU330Wg0Vs9lur+jEqgkRSGEMGFrojXse7vjLJ0f9DXUQ4cO4enpSbdu3YCSjwsLDg4usRZt8XMNHjzYLIGBfgUhw3mCg4PRaDQWH+xuaT+tVmvsyzQwTZ7FFU+6lvY9cuSIcR+tVsuRI0es3qviNVZDTbaiSFIUQggHsCXJGn6WNiimU6dOxmdzZmVlGRd2Nz3eMBDK0G9raXH34vtt3rzZmMhMk2dxpsn0dvvawrTGWloythdJikIIUcXZOtCpLOcxJFoovU8xMDCQcePGlbpvaGgoMTExxtqfYbqJJaZJ9m4T7J2QpCiEEKIEWxOpLfsaEqct/YSmNVbpUxRCCFEtlWeStSdLT4sRQggh7kmSFIUQQogikhSFEEKIIpIUhRBCiCL3zEAbwxyalJQUB0cihBCiIhi+762t6GPJPZMUr169CsCYMWMcHIkQQoiKdPXqVRo1amTTvirF1pVoq7i8vDyOHz+Oj48PmqJnqd1rUlJSGDNmDGvXrsXf39/R4VQqcm+sk3tTOrk/1jn63mi1Wq5evUqbNm1wdXW16Zh7pqbo6upK586dHR1GpeDv709AQICjw6iU5N5YJ/emdHJ/rHPkvbG1hmggA22EEEKIIpIUhRBCiCKSFIUQQogimrlz5851dBCi4tSoUYMuXbpQo0YNR4dS6ci9sU7uTenk/lhX1e7NPTP6VAghhLgdaT4VQgghikhSFEIIIYpIUhRGCQkJbNu2jYsXLzo6FCGEcIh7ZvL+vSAyMpKoqCiCgoI4duwYI0eOpEePHqUeo9PpWL9+PevXryc8PJyBAwfi6+tbQRFXnLLemwMHDrBhwwaCgoJIS0sjMzOTmTNnUqdOnQqMuuKkpqaycuVKfHx8ePrpp0vdNysri48//hhPT08KCgq4dOkSr776Kt7e3hUTbAUry71JSkpi4cKFHDx4EEVR6Nq1K6+++mq1XummLDKTixUAAA76SURBVPfHVF5eHsOGDWPu3Ll06dLFfgGWlSKqhfXr1ys9e/ZUsrOzFUVRlOTkZKVjx47K/v37rR6Tk5OjTJo0SRk2bJiSnJxcUaFWuLLem/j4eKVjx45Kamqqseyjjz5SJk6cWCHxVrQdO3YoL7/8stK8eXPl448/LnXfgoIC5e9//7syb948Y9nXX3+tPProo8rNmzftHWqFK8u9yczMVEaPHq188803yubNm5XZs2crLVu2VAYPHlwt742ilO3+FPfOO+8ozZs3V/788087RXdnpPm0GsjKymLRokUMHToUd3d3QL+sUs+ePXnnnXesHvfaa69x6NAhli9fXm3/kr2Te7N79240Go1ZzSc0NJTo6OgKibmi9erVi2nTptm076ZNm4iOjmb06NHGspEjR3L27Fn++9//2itEhynLvVm/fj1vvvkmY8aMYeDAgbz11luMHj2aM2fOcPjwYTtH6hhluT+m9uzZg7Ozsx0iunuSFKuB3bt3k5mZSWhoqFl5aGgop06dIi4ursQxe/fuJTIykmeffZZ69epVVKgV7k7uTd26dbl+/Tpbtmwxlp06dYrWrVvbPV5HUatt+yrYtGkTtWvXpnHjxsaymjVr0rRpUyIiIuwVnkPZem9atWpF8+bNzcoMTfSZmZnlHldlYev9Mbh+/TqbNm3iiSeesFNEd0eSYjUQGxsLQIMGDczKGzZsCMCxY8dKHPN///d/gP6RKi+88ALdunVj8ODBREZG2jnainUn92bgwIGEhobyyiuv8N///pdt27axf/9+Fi9ebP+AK7lTp05Rv379EuUNGjTg9OnT5OfnOyCqyiEsLKxEWV5eHhqNhnbt2jkgosrpgw8+YMaMGahUKkeHYpEMtKkGMjIyAPDw8DArNzQXpqWllTjm8OHDeHh48Nhjj9GyZUu0Wi1z5szhpZdewt/fn44dO9o/8ApwJ/fGxcWFFStWMH36dObOnYuvry/r1q3Dz8/P/gFXchkZGQQGBpYod3d3p7CwkOvXr+Pj4+OAyCqnP//8k2HDhsn/nSI//fQT999/P35+fly4cMHR4VgkNcVqwMXFBaDEX16GZg1LbfcZGRl07dqVli1bAqDRaJg5cyYuLi6sWrXKvgFXoDu5N6BPlu7u7jzzzDOkp6czYsQIDh06ZN9gqwAXFxeLf+Hf7n7eiy5cuEBMTAz/+te/HB1KpZCcnMyBAwcYMmSIo0MplSTFasAwICQ7O9us3PDZ0l+ptWvXLvGw5dq1axMQEMBff/1lp0gr3p3cm4sXL/LUU08xY8YMXn31VdatW4eTkxNTp04lNzfX/kFXYvXq1SMnJ6dEeU5ODq6urnh5eTkgqsonPz+fBQsWGKeu3OsUReGDDz7gpZdecnQotyVJsRowDABJSUkxK09OTgYw1gZNNWnShNTU1BLltWrVombNmnaI0jHu5N6sX78eHx8f7rvvPkA/KGf+/PmkpaWxb98+O0dcubVu3dp470wlJydbvJf3Ip1Ox7vvvsvUqVMJDg52dDiVwqVLl4iMjKRPnz506NCBDh06GGuMzz//PB06dODSpUsOjlJPkmI10K1bN7y8vDhy5IhZeUxMDG3btqVJkyYljhkyZAgnTpwgKyvLrPzy5cslRmpWZXdyb/Lz89FqtWZlDzzwAFCyGfZeM2jQIDIyMkhKSjKWZWdnExcXx6OPPurAyCoHRVFYuHChsa/eID09nStXrjgwMsfy8/MjMjKSDRs2GF/Lly8H4J133mHDhg2VZtEQSYrVgJOTE5MnTyYiIoK8vDwArly5wm+//caUKVMAjHOmDKMDH330UerXr8+6deuM54mOjiY3N5fnnnuu4n8JO7mTe/Pwww+TkJBgHLkKcOTIERo2bFhtBiAVZ/jddTqdWXlERAT9+/fn7NmzAPTp04e2bdvy7bffGvf5/vvv8fPzY+jQoRUXcAWy9d4AxrmvFy9eZMuWLWzZsoWIiAjmzJlTbVf8seX+ODk50ahRI7OXYUS4n58fjRo1wsmpcoz7rBxRiLs2btw4XFxcmD17Ns2bN+f48eMsWrSIPn36APqBI6mpqcYakJubG6tXr2bevHnMmTMHT09PkpOTWbt2bbWbt1jWe9OuXTu++OILFi9ezH333cf/t3f/MVHXDxzHn5dg6uGvNsEK4lrLpAWuXKI1zQRlblm62hLImZu1Me3aija1Hzp/TB1YsBnlj9OAc5VGLTJz1ExUdpRhU6RcOu+s+KHxI0zj4Li7/vD4zPuicn2/HKjf1+M/3p83n/f7c+P24v3j8/lERUVRW1vL9u3bb6qp5S4Oh8P452jv3r3cc889TJ06laioKM6fP09zc7OxjhgREYHNZmP9+vVs2LCByMhIXC4Xdrv9//6zyc/Px263A3TbrJaVldVtDf9m8G8+nxuF3qcoIiISoOlTERGRAIWiiIhIgEJRREQkQKEoIiISoFAUEREJUCiKiIgEKBRFREQCFIoiIiIBCkUREZEAhaKIiEiAQlGkF1y4cIGff/4Zh8NBS0tLf3cnJIsXL+7vLohcd/RAcJFe4HQ62b59O19++SVFRUUkJyf3SbtVVVUUFhZy8OBBPB4PqampRERE4PV6qa+vx2w28/LLL5OUlNStv1d7+a3H42Hnzp1UVFQQExPD8uXL++JSRK4LeiC4SC/xer3cf//9fRqKXVJSUkhISGDjxo1B5Tk5OdjtdkpLS4mPjzfK8/LymDhxIhMnTrzi+S5evMjjjz/OtGnTWLduXVj7LnI90fSpSC/pr1cD1dbW8vvvvxsvQr5ccnIybrebffv2BZX/8MMPV6zfxWw235SvghLpiUJR5AbncDgArhhyp0+fBmDkyJFGWVVVFePGjeOWW/T1F/lPWlMUCaPPPvuMI0eOMHr0aJqamrj33ntJT083jre1tbFhwwbMZjMA7e3tmM1mzp07x7Bhw3jttdd6bKOyspLhw4czZsyYoHK/38/nn39ObGwsaWlpRnlpaSmZmZnd6m7atAmn04nFYqG9vR232x1U56effqK4uJgxY8Zw8uRJvF4vb731FmazmW+++Ybs7Gy8Xi/vvPMOqampAHz66afk5OSwefNmEhMTKSsr4/jx48TExLB7927i4+M1PSvXFYWiSJjk5+fT0NDA2rVrjbLXX3+d3NxcsrOzAVizZg1tbW288cYbALzyyivExcVhtVo5efJkSO189913jB8/Pmjk99dff7FmzRoACgsLGTx4MAAdHR24XK5uAbp+/XrOnDlDQUEBJpOJuro6tmzZElTnxRdf5Omnn2bBggV0dnaSnJyMxWIhKyuL1NRUMjMzsdlsQecePXo0c+fOJTExkY6ODrKzs6moqGDo0KHMmTOH9957L9SPU6RPaP5EJAycTiebN28OGhUCZGRksHXrVlwuFwDV1dXcfvvtxvE77riDffv2MWrUKB555JEe2zl9+jTnzp3jwoUL5Obmkpuby8qVK8nJySE1NZWSkhJiY2ON+gcOHGDKlClB5zhz5gyFhYVkZGRgMpmMfkRHRwfVS09PJyUlBQCTyURUVBS//vqrcfz5558nMjKSoqIio+yLL75g9uzZwKVdrT6fj7y8PDo6OhgyZAjPPfdcj9co0pc0UhQJgwMHDtDZ2UlMTExQeUxMDH6/n0OHDmGxWJg1a5axCcbn83H06FFmzJgRcjuVlZXApRHmgw8+2GP93bt3s3Tp0qCyQ4cO4fP5uPPOO4PKuwKyy6JFi2hoaKCoqIiIiAg8Hg+Xb14fNWoUc+bMoaSkBKvVyq233kpjY6Ox69VsNrN06VJWrVrFwYMHWbJkCdOmTQv5WkX6gkaKImHg8/mAS9OVl2trawOgs7MTAIvFwtSpU9m4cSN5eXk888wzvPTSSyG3U1lZSVRUFImJiT3WPX/+PG63u1tQ//333wC0trZe8/c/+OADli1bxuzZs8nIyGDQoEHd6ixcuJD29nY+/vhjvv32W2Nk2SUzM5MdO3YwbNgwsrKyugW0SH/TSFEkDB5++GEA6uvriYuLM8p/++03AOM+RofDwauvvsqQIUP+dRt+v5/vv/+eCRMmEBHR81d57969QRtuutx9991GX6422qyurmbt2rUUFBQYN/13Bf/l7rrrLtLS0rDb7YwbN47Vq1cbxxobG6mrq2P8+PF88sknFBQUkJ+fz/z58xk7dmxI1ywSbhopivSSrqlEv9/PAw88wLPPPsuuXbuC6uzcuZO5c+eSkJAAwIgRI7Db7fzxxx80Nzfj8XhCbu/EiRO0tLSEtPYIUFZWxvTp07uVT5kyBYvFwrZt24zp2GPHjtHS0oLT6cTpdNLQ0ADAjz/+iMfj4euvv+bPP//k7NmzNDU1BZ1v4cKFNDQ0YDKZgp6a43a72bZtm/FzRkYGkZGR3HbbbSFfs0i4DVixYsWK/u6EyI3O4XCwbNkyamtrqampwe/3Y7VaOXv2LCUlJRw+fJg9e/aQlJSE1Wo11uuio6OxWq3YbDZsNhsFBQV89NFHNDY2MmnSpCveS/jLL7+watUqiouLaW1tpbW1lRMnTvDYY49dtX91dXUcOXKEWbNmdTs2YMAAUlJSOHXqFDabjV27djFy5Eh8Ph8JCQnEx8fz0EMPUVNTw549eygrK2Py5MmMGDGC8vJyvF4vkyZNMs4XHR1NeXk58+bNM0ahcGn69s0338TlctHc3MxXX33FCy+8ENLUr0hf0WPeRPrJ0aNHefvtt1m9ejVxcXH4/X4uXrzIqVOnWL58OQsWLDB2bv6v3n//fRISEq4ZnL0pPT2d4uLikKZ1Ra4nmj4V6Scul4uhQ4cauz67bnNISkoiNjaWgQMH9lpbFRUVPProo712vmspLy8PeZ1T5Hqjv1qRfvLUU08xePBgVq5cSXR0NCaTCZ/PR319PU888QQzZ87slXZqamq47777whpShw8f5t1332Xs2LHs37+fDz/8MGxtiYSTQlGkH82YMeNf3Zf43ygtLeXJJ58Maxtut5vq6mqamppYt25d0LNWRW4kCkWRm1x9fX239yn2tsmTJ1NVVRXWNkT6gjbaiIiIBGijjYiISIBCUUREJEChKCIiEqBQFBERCVAoioiIBCgURUREAhSKIiIiAf8AcF7OrsD/CwEAAAAASUVORK5CYII=\n", "text/plain": [ "<Figure size 478.3x295.429 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(DF['logP'], DF['W'], '.', c='gray', label='Models')\n", "plt.plot(logPs, ests[:,X_columns.index('W')], '.', label='Predicted', c='red')\n", "plt.plot(logPs, actual_Ws, '.', label='Actual', c='blue')\n", "plt.xlabel('$\\log\\;P/$days')\n", "plt.ylabel('Wesenheit Index')\n", "plt.legend(loc='best')\n", "plt.savefig('CEP-LMC-W-comp.pdf')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "18.47697054145555+/-0.0045959169367960516" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from uncertainties import unumpy\n", "# 49.59 +/- 0.09_statistical +/- 0.054_systematic Kpc\n", "pietrzynski = 5 * unumpy.log10(1000*ufloat(49.59, np.sqrt((0.09)**2 + (0.054)**2))) - 5\n", "pietrzynski" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "18.683185206153095 +/- 0.1479352628858759\n", "18.68317993439398 +/- 0.14797463537056807\n" ] } ], "source": [ "Ws = ests[:,X_columns.index('W')]\n", "e_Ws = e_ests[:,X_columns.index('W')]\n", "\n", "print((actual_Ws - Ws).mean(), '+/-', (actual_Ws -Ws).std())\n", "\n", "values = actual_Ws - Ws\n", "weights = 1. / np.sqrt( np.array(e_Ws)**2 + np.array(e_actual_Ws)**2 + 0.89**2 ) \n", "\n", "average = np.average(values, weights=weights)\n", "variance = np.average((values-average)**2, weights=weights)\n", "print(average, '+/-', np.sqrt(variance))" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "18.688798148600128 +/- 0.09343736583259395\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "inliers = [True for ii in range(len(actual_Ws))]\n", "while True:\n", " values = np.array(actual_Ws - ests[:,X_columns.index('W')])\n", " weights = 1. / np.sqrt( e_ests[:,X_columns.index('W')]**2 + e_actual_Ws**2 + 0.047**2 )**2\n", " \n", " average = np.average(values[inliers], weights=weights[inliers])\n", " variance = np.average((values-average)[inliers]**2, weights=weights[inliers])\n", " \n", " new_outliers = np.abs(values[inliers] - average)/np.sqrt(variance) > 5\n", " if not np.any(new_outliers):\n", " break\n", " inliers = np.logical_not(np.abs(values - average)/np.sqrt(variance) > 5)\n", "\n", "print(average, '+/-', np.sqrt(variance))\n", "\n", "plt.scatter(logPs, actual_Ws - ests[:,X_columns.index('W')], c=np.logical_not(inliers))\n", "#plt.plot(np.array(logPs)[inlier_mask], np.array(actual_Ws - Ws)[inlier_mask], '.')\n", "#plt.plot(np.array(logPs)[outlier_mask], np.array(actual_Ws - Ws)[outlier_mask], '.')\n", "\n", "plt.xlabel('$\\log\\;P/$days')\n", "plt.ylabel('$W_{\\\\rm{actual}} - W_{\\\\rm{predicted}}$')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 478.3x295.429 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.suptitle(' LMC: Cepheids', y=0.99)\n", "plt.hist(np.array(actual_Ws - ests[:,X_columns.index('W')])[inliers])\n", "plt.xlabel('Distance modulus: $W_{\\\\rm{actual}} - W_{\\\\rm{predicted}}$ [mag]')\n", "plt.ylabel('Counts')\n", "plt.xlim([17.8, 19.2])\n", "plt.text(17.83, 78, 'Weighted mean:\\n$18.688 \\pm 0.093$ mag')\n", "\n", "plt.savefig('distance_modulus_hist.pdf')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use random forests to obtain feature importances " ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [], "source": [ "y_col_names = ['$\\log\\;P$', \n", " '$I$ Amplitude', '$I$ Skewness', '$I$ Acuteness',\n", " '$V$ Amplitude', '$V$ Skewness', '$V$ Acuteness',\n", " '$I$ $A_1$', '$I$ $A_2$', '$I$ $A_3$',\n", " '$V$ $A_1$', '$V$ $A_2$', '$V$ $A_3$']\n", "\n", "rf = RandomForestRegressor(n_estimators=1024, random_state=1)\n", "X = DF[y_columns]\n", "rf.fit(X, DF['logL'])\n", "\n", "importances = rf.feature_importances_\n", "std = np.std([tree.feature_importances_ for tree in rf.estimators_], axis=0)\n", "indices = np.argsort(importances)" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x576 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,8))\n", "plt.suptitle(' Cepheids: Luminosity', y=0.99)\n", "rects1 = plt.barh(range(X.shape[1])[:-1], importances[indices][:-1],\n", " color=\"r\", #yerr=std[indices][1:], \n", " align=\"center\")\n", "plt.yticks(range(X.shape[1])[:-1], [y_col_names[idx] for idx in indices][:-1])#, rotation='vertical')\n", "plt.ylim([-1, X.shape[1]-1])\n", "plt.xlabel('Feature importance')\n", "\n", "plt.xlim([0, 0.16])\n", "ax = plt.gca()\n", "ax.set_xticks([0, 0.08, 0.16])\n", "ax.set_xticklabels(['0%', '8%', '16%'])\n", "\n", "plt.text(0.0972, -0.1, 'period: %.1f%%' % (importances[0]*100))\n", "plt.text(0.04, -0.7, 'light curve structure: %.1f%%' % (sum(importances[1:])*100))\n", "\n", "def autolabel(rects):\n", " for rect in rects:\n", " height = rect.get_height()\n", " ax.annotate('%.1f' % (height*100) + '%',\n", " xy=(rect.get_x() + rect.get_width() / 2, height),\n", " xytext=(0, 3), \n", " textcoords=\"offset points\",\n", " ha='center', va='bottom')\n", "\n", "plt.savefig('CEP-L-importances.pdf')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x576 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y_col_names = ['$\\log\\;P$', \n", " '$I$ Amplitude', '$I$ Skewness', '$I$ Acuteness',\n", " '$V$ Amplitude', '$V$ Skewness', '$V$ Acuteness',\n", " '$I$ $A_1$', '$I$ $A_2$', '$I$ $A_3$',\n", " '$V$ $A_1$', '$V$ $A_2$', '$V$ $A_3$']\n", "\n", "rf = RandomForestRegressor(n_estimators=1024, random_state=1)\n", "X = DF[y_columns]\n", "rf.fit(X, DF['M'])\n", "\n", "importances = rf.feature_importances_\n", "std = np.std([tree.feature_importances_ for tree in rf.estimators_], axis=0)\n", "indices = np.argsort(importances)\n", "\n", "plt.figure(figsize=(6,8))\n", "plt.suptitle(' Cepheids: Mass', y=0.99)\n", "rects1 = plt.barh(range(X.shape[1])[:-1], importances[indices][:-1],\n", " color=\"r\", #yerr=std[indices][1:], \n", " align=\"center\")\n", "plt.yticks(range(X.shape[1])[:-1], [y_col_names[idx] for idx in indices][:-1])#, rotation='vertical')\n", "plt.ylim([-1, X.shape[1]-1])\n", "plt.xlabel('Feature importance')\n", "\n", "plt.xlim([0, 0.16])\n", "ax = plt.gca()\n", "ax.set_xticks([0, 0.08, 0.16])\n", "ax.set_xticklabels(['0%', '8%', '16%'])\n", "\n", "plt.text(0.0972, -0.1, 'period: %.1f%%' % (importances[0]*100))\n", "plt.text(0.04, -0.7, 'light curve structure: %.1f%%' % (sum(importances[1:])*100))\n", "\n", "def autolabel(rects):\n", " for rect in rects:\n", " height = rect.get_height()\n", " ax.annotate('%.1f' % (height*100) + '%',\n", " xy=(rect.get_x() + rect.get_width() / 2, height),\n", " xytext=(0, 3), \n", " textcoords=\"offset points\",\n", " ha='center', va='bottom')\n", "\n", "plt.savefig('CEP-M-importances.pdf')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x576 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y_col_names = ['$\\log\\;P$', \n", " '$I$ Amplitude', '$I$ Skewness', '$I$ Acuteness',\n", " '$V$ Amplitude', '$V$ Skewness', '$V$ Acuteness',\n", " '$I$ $A_1$', '$I$ $A_2$', '$I$ $A_3$',\n", " '$V$ $A_1$', '$V$ $A_2$', '$V$ $A_3$']\n", "\n", "rf = RandomForestRegressor(n_estimators=1024, random_state=1)\n", "X = DF[y_columns]\n", "rf.fit(X, DF['Teff'])\n", "\n", "importances = rf.feature_importances_\n", "std = np.std([tree.feature_importances_ for tree in rf.estimators_], axis=0)\n", "indices = np.argsort(importances)\n", "\n", "plt.figure(figsize=(6,8))\n", "plt.suptitle(' Cepheids: Effective Temperature', y=0.99)\n", "rects1 = plt.barh(range(X.shape[1])[:-1], importances[indices][:-1],\n", " color=\"r\", #yerr=std[indices][1:], \n", " align=\"center\")\n", "plt.yticks(range(X.shape[1])[:-1], [y_col_names[idx] for idx in indices][:-1])#, rotation='vertical')\n", "plt.ylim([-1, X.shape[1]-1])\n", "plt.xlabel('Feature importance')\n", "\n", "plt.xlim([0, 0.16])\n", "ax = plt.gca()\n", "ax.set_xticks([0, 0.08, 0.16])\n", "ax.set_xticklabels(['0%', '8%', '16%'])\n", "\n", "plt.text(0.0972, -0.1, 'period: %.1f%%' % (importances[0]*100))\n", "plt.text(0.04, -0.7, 'light curve structure: %.1f%%' % (sum(importances[1:])*100))\n", "\n", "def autolabel(rects):\n", " for rect in rects:\n", " height = rect.get_height()\n", " ax.annotate('%.1f' % (height*100) + '%',\n", " xy=(rect.get_x() + rect.get_width() / 2, height),\n", " xytext=(0, 3), \n", " textcoords=\"offset points\",\n", " ha='center', va='bottom')\n", "\n", "plt.savefig('CEP-Teff-importances.pdf')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x576 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y_col_names = ['$\\log\\;P$', \n", " '$I$ Amplitude', '$I$ Skewness', '$I$ Acuteness',\n", " '$V$ Amplitude', '$V$ Skewness', '$V$ Acuteness',\n", " '$I$ $A_1$', '$I$ $A_2$', '$I$ $A_3$',\n", " '$V$ $A_1$', '$V$ $A_2$', '$V$ $A_3$']\n", "\n", "rf = RandomForestRegressor(n_estimators=1024, random_state=1)\n", "X = DF[y_columns]\n", "rf.fit(X, DF['W'])\n", "\n", "importances = rf.feature_importances_\n", "std = np.std([tree.feature_importances_ for tree in rf.estimators_], axis=0)\n", "indices = np.argsort(importances)\n", "\n", "plt.figure(figsize=(6,8))\n", "plt.suptitle(' Cepheids: Wesenehit', y=0.99)\n", "rects1 = plt.barh(range(X.shape[1])[:-1], importances[indices][:-1],\n", " color=\"r\", #yerr=std[indices][1:], \n", " align=\"center\")\n", "plt.yticks(range(X.shape[1])[:-1], [y_col_names[idx] for idx in indices][:-1])#, rotation='vertical')\n", "plt.ylim([-1, X.shape[1]-1])\n", "plt.xlabel('Feature importance')\n", "\n", "plt.xlim([0, 0.16])\n", "ax = plt.gca()\n", "ax.set_xticks([0, 0.08, 0.16])\n", "ax.set_xticklabels(['0%', '8%', '16%'])\n", "\n", "plt.text(0.0972, -0.1, 'period: %.1f%%' % (importances[0]*100))\n", "plt.text(0.045, -0.7, 'light curve structure: %.1f%%' % (sum(importances[1:])*100))\n", "\n", "def autolabel(rects):\n", " for rect in rects:\n", " height = rect.get_height()\n", " ax.annotate('%.1f' % (height*100) + '%',\n", " xy=(rect.get_x() + rect.get_width() / 2, height),\n", " xytext=(0, 3), \n", " textcoords=\"offset points\",\n", " ha='center', va='bottom')\n", "\n", "plt.savefig('CEP-W-importances.pdf')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x576 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y_col_names = ['$\\log\\;P$', \n", " '$I$ Amplitude', '$I$ Skewness', '$I$ Acuteness',\n", " '$V$ Amplitude', '$V$ Skewness', '$V$ Acuteness',\n", " '$I$ $A_1$', '$I$ $A_2$', '$I$ $A_3$',\n", " '$V$ $A_1$', '$V$ $A_2$', '$V$ $A_3$']\n", "\n", "rf = RandomForestRegressor(n_estimators=1024, random_state=1)\n", "X = DF[y_columns]\n", "rf.fit(X, DF['logR'])\n", "\n", "importances = rf.feature_importances_\n", "std = np.std([tree.feature_importances_ for tree in rf.estimators_], axis=0)\n", "indices = np.argsort(importances)\n", "\n", "plt.figure(figsize=(6,8))\n", "plt.suptitle(' Cepheids: Radius', y=0.99)\n", "rects1 = plt.barh(range(X.shape[1])[:-1], importances[indices][:-1],\n", " color=\"r\", #yerr=std[indices][1:], \n", " align=\"center\")\n", "plt.yticks(range(X.shape[1])[:-1], [y_col_names[idx] for idx in indices][:-1])#, rotation='vertical')\n", "plt.ylim([-1, X.shape[1]-1])\n", "plt.xlabel('Feature importance')\n", "\n", "plt.xlim([0, 0.16])\n", "ax = plt.gca()\n", "ax.set_xticks([0, 0.08, 0.16])\n", "ax.set_xticklabels(['0%', '8%', '16%'])\n", "\n", "plt.text(0.0972, -0.1, 'period: %.1f%%' % (importances[0]*100))\n", "plt.text(0.045, -0.7, 'light curve structure: %.1f%%' % (sum(importances[1:])*100))\n", "\n", "def autolabel(rects):\n", " for rect in rects:\n", " height = rect.get_height()\n", " ax.annotate('%.1f' % (height*100) + '%',\n", " xy=(rect.get_x() + rect.get_width() / 2, height),\n", " xytext=(0, 3), \n", " textcoords=\"offset points\",\n", " ha='center', va='bottom')\n", "\n", "plt.savefig('CEP-logR-importances.pdf')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare performance of neural network with a random forest " ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [], "source": [ "ml = TransformedTargetRegressor(regressor=Pipeline(\n", " [('scaler', RobustScaler()), \n", " ('mlp', MLPRegressor(hidden_layer_sizes=(100, 100), \n", " max_iter=2000, activation='relu', solver='lbfgs', tol=1e-7))]),\n", " transformer=RobustScaler())\n", "\n", "lm = LinearRegression()\n", "\n", "rf = RandomForestRegressor(n_estimators=1024, random_state=1)" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-0.1271930454254147" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.random.seed(0) \n", "cross_val_score(rf, DF[y_columns], DF['M'], cv=ShuffleSplit(n_splits=5, random_state=0), scoring='neg_mean_squared_error').mean()" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-0.101913586103855" ] }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.random.seed(0) \n", "cross_val_score(ml, DF[y_columns], DF['M'], cv=ShuffleSplit(n_splits=5, random_state=0), scoring='neg_mean_squared_error').mean()" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-0.2947592361576207" ] }, "execution_count": 77, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.random.seed(0) \n", "cross_val_score(lm, DF[y_columns], DF['M'], cv=ShuffleSplit(n_splits=5, random_state=0), scoring='neg_mean_squared_error').mean()" ] } ], "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": "3.7.0" } }, "nbformat": 4, "nbformat_minor": 2 }