{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# GAMA-09 master catalogue\n", "## Preparation of Hyper Suprime-Cam Subaru Strategic Program Catalogues (HSC-SSP) data\n", "\n", "This catalogue comes from `dmu0_HSC`.\n", "\n", "In the catalogue, we keep:\n", "\n", "- The `object_id` as unique object identifier;\n", "- The position;\n", "- The g, r, i, z, y (no N921) aperture magnitude in 2” that we aperture correct;\n", "- The g, r, i, z, y (no N921) kron fluxes and magnitudes.\n", "- The extended flag that we convert to a stellariy.\n", "\n", "**Note**: On ELAIS-N1 the HSC-SSP catalogue does not contain any N816 magnitudes.\n", "\n", "We use 2016 as the epoch." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This notebook was run with herschelhelp_internal version: \n", "44f1ae0 (Thu Nov 30 18:27:54 2017 +0000)\n" ] } ], "source": [ "from herschelhelp_internal import git_version\n", "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "#%config InlineBackend.figure_format = 'svg'\n", "\n", "import matplotlib.pyplot as plt\n", "plt.rc('figure', figsize=(10, 6))\n", "plt.style.use('ggplot')\n", "\n", "from collections import OrderedDict\n", "import os\n", "\n", "from astropy import units as u\n", "from astropy import visualization as vis\n", "from astropy.coordinates import SkyCoord\n", "from astropy.table import Column, Table\n", "import numpy as np\n", "\n", "from herschelhelp_internal.flagging import gaia_flag_column\n", "from herschelhelp_internal.masterlist import nb_astcor_diag_plot, nb_plot_mag_ap_evol, \\\n", " nb_plot_mag_vs_apcor, remove_duplicates\n", "from herschelhelp_internal.utils import astrometric_correction, mag_to_flux, aperture_correction" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "OUT_DIR = os.environ.get('TMP_DIR', \"./data_tmp\")\n", "try:\n", " os.makedirs(OUT_DIR)\n", "except FileExistsError:\n", " pass\n", "\n", "RA_COL = \"hsc_ra\"\n", "DEC_COL = \"hsc_dec\"" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Pritine HSC catalogue\n", "orig_hsc = Table.read(\"../../dmu0/dmu0_HSC/data/HSC-PDR1_wide_GAMA-09_v2.fits\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## I - Aperture correction\n", "\n", "To compute aperture correction we need to dertermine two parametres: the target aperture and the range of magnitudes for the stars that will be used to compute the correction.\n", "\n", "**Target aperture**: To determine the target aperture, we simulate a curve of growth using the provided apertures and draw two figures:\n", "\n", "- The evolution of the magnitudes of the objects by plotting on the same plot aperture number vs the mean magnitude.\n", "- The mean gain (loss when negative) of magnitude is each aperture compared to the previous (except for the first of course).\n", "\n", "As target aperture, we should use the smallest (i.e. less noisy) aperture for which most of the flux is captures.\n", "\n", "**Magnitude range**: To know what limits in aperture to use when doing the aperture correction, we plot for each magnitude bin the correction that is computed and its RMS. We should then use the wide limits (to use more stars) where the correction is stable and with few dispersion." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "No error column for a y band aperture magnitude.\n" ] } ], "source": [ "bands = [\"g\", \"r\", \"i\", \"z\", \"y\"] #, \"n921\"]\n", "apertures = [\"10\", \"15\", \"20\", \"30\", \"40\", \"57\", \"84\", \"118\", \"168\", \"235\"]\n", "\n", "magnitudes = {}\n", "magnitude_errors ={}\n", "stellarities = {}\n", "\n", "for band in bands:\n", " magnitudes[band] = np.array(\n", " [orig_hsc[\"{}mag_aperture{}\".format(band, aperture)] for aperture in apertures]\n", " )\n", " # Some sources have an infinite magnitude\n", " mask = np.isinf(magnitudes[band])\n", " magnitudes[band][mask] = np.nan\n", " try:\n", " magnitude_errors[band] = np.array(\n", " [orig_hsc[\"{}mag_aperture{}_err\".format(band, aperture)] for aperture in apertures]\n", " )\n", " magnitude_errors[band][mask] = np.nan\n", " except KeyError:\n", " print(\"No error column for a \" + band + \" band aperture magnitude.\")\n", " \n", " stellarities[band] = 1 - np.array(orig_hsc[\"{}classification_extendedness\".format(band)])\n", " \n", "mag_corr = {}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.a - g band" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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ERCS4nD4DcW6eBsVFuLPGYbf+x+tIIiHDrzsZb9q0icWLF1NcXHzEa6tWrQpY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['g'], stellarities['g'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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tJCV5txmTEACqyQ7lpcEuRr/icDp555MSnntnLe9v+gy3280F547n9huv55qL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\nSKOR62bO4PsFc8gZOcKja7S7XDz85L/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['gmag_aperture20'], orig_hsc['gmag_aperture40'], stellarities['g'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use magnitudes between 18.5 and 20.8" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for g band:\n", "Correction: -0.12408447265625\n", "Number of source used: 18461\n", "RMS: 0.023483843404198672\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['g'], num, std = aperture_correction(\n", " orig_hsc['gmag_aperture20'], orig_hsc['gmag_aperture40'], \n", " stellarities['g'],\n", " mag_min=18.5, mag_max=20.8)\n", "print(\"Aperture correction for g band:\")\n", "print(\"Correction: {}\".format(mag_corr['g']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.b - r band" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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yL/bHHX7HEokqYU1RrV27lrfffpvXXnvtkHvUjB49OqLBRETkyIwxmEuuxCbX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['r'], stellarities['r'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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vnvvrG6zfvqPf69GRkSTGxZEYF0tSXBy5GekkTswjMS5Wfz4+ru9+amIiUyeM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\nTMRqtWKxWLBarYP+AXE6nVR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['rmag_aperture20'], orig_hsc['rmag_aperture40'], stellarities['r'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 17.6 and 19.7." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for r band:\n", "Correction: -0.16170883178710938\n", "Number of source used: 14615\n", "RMS: 0.0376657609667549\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['r'], num, std = aperture_correction(\n", " orig_hsc['rmag_aperture20'], orig_hsc['rmag_aperture40'], \n", " stellarities['r'],\n", " mag_min=17.6, mag_max=19.7)\n", "print(\"Aperture correction for r band:\")\n", "print(\"Correction: {}\".format(mag_corr['r']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.c - i band" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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Ou8TrSCJBF1DBWb9+PQ899BAFBQWHfLZ48eIyCyUiImXHGANXXgs7t2OfWYQb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['i'], stellarities['i'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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UFz/UF//Ul8GFTm8sGKP4dyAjI2NI250zQaxZs2bQ5+Lj42loaCAxMZGGhga/SdHpdPpG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\nj5OcMP4Oo4lICLFYICbWN/+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['imag_aperture20'], orig_hsc['imag_aperture40'], stellarities['i'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 18.5 and 19.8." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for i band:\n", "Correction: -0.09254837036132812\n", "Number of source used: 33192\n", "RMS: 0.012256088927246552\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['i'], num, std = aperture_correction(\n", " orig_hsc['imag_aperture20'], orig_hsc['imag_aperture40'], \n", " stellarities['i'],\n", " mag_min=18.5, mag_max=19.8)\n", "print(\"Aperture correction for i band:\")\n", "print(\"Correction: {}\".format(mag_corr['i']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.d - z band" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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7jrvWXxMVFUVpaWmFXLuyhUsv4dIHqJdQVNl97PvkA4qnDsdUiyd5wl1EZTTw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\nE0JEgpGjwicxMZEWLVqwfv16srOzady4MZdccgnx8fEAXHDBBVxwwdF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Wz/lVde6ZYjce0ds/r27cvKlSs5ffo0119/PXFxcfzqV7+isbGRvLw8vvzyS4wxTJo0iR//+Md2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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['z'], stellarities['z'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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16Jv/ySefsHXrVh544IHW5MhoNGJsmYUQHx9PdHQ0hYWFjBjR/hcsJSWFlJSU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\nezmfAaDX6Rg7bCjjx4zCoNe3JDIHsR6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['zmag_aperture20'], orig_hsc['zmag_aperture40'], stellarities['z'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 17.5 and 19.8." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for z band:\n", "Correction: -0.10509109497070312\n", "Number of source used: 51772\n", "RMS: 0.05780501082757794\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['z'], num, std = aperture_correction(\n", " orig_hsc['zmag_aperture20'], orig_hsc['zmag_aperture40'], \n", " stellarities['z'],\n", " mag_min=17.5, mag_max=19.8)\n", "print(\"Aperture correction for z band:\")\n", "print(\"Correction: {}\".format(mag_corr['z']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.e - y band" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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/6z44IuJ3JrY25oJB2DPPwb74RLDovJuH6XcJ9pKrvY4nIuUU0mXiP9u1axcl\nJSUHvdaokQ7jioh/mPhEzOBbsRkDcJ9fhH12IUXvr8LeOBbTKMnreCJyBCEVnPXr1/PII4+wc+eh\nN8havHhx2EKJiEQKk3ICgVv/iP1kLe7C+7HTRuHccAfmlA5eRxOR3xBSwVmwYAEXXXQRZ511FjVr\n1qyoTCIiEcecehrx9y6gcMoo3AcmYy4ZgskYoEvKRSJUSI9q2L17N3369FG5EZFqKdAoCWfcPdCh\nC/aZBdiF92P37/M6logcRkgFp1evXqxcubKisoiIRDwTHYNz41jMeVdg/7YS997x2J1FXscSkf8R\n0imqzz//nFdffZVly5bRoEGDg96bPHlyWIOJiEQq4ziY/pdjk5vhLpiFO3UUztBxmOYneR1NRH4S\nUsHp1auX7ncjIvIT06ErTtY9uLOzcWeOxwwajtOtt9exRIQQC87Pj2wQEZEgk9wUZ/xM3Hn3Yhc+\ngPv1ZszFQzABPbhTxEshFZwVK1Yc9vUaNWqQkJBAy5YtqVGjRliCiYhUFaZOPZxb/4h99lFs3ovY\nb77CufEOTO26XkcTqbZCKjj5+fl89tln1K9fn4SEBIqKiti1axfNmzenoKAAgDvuuIPmzZtXSFgR\nkUhlAgHM5dfjNjkB+/jDuNmjcIZPxCSneh1NpFoKqeCkpKRw+umnk5mZWfbaa6+9xjfffMPdd9/N\nkiVLePTRR8nOzg57UBGRqsDpnoFtnIL7yHTc6WNwrrsd076r17FEqp2QLhNfvXo1Z5999kGv9e3b\nl3fffRdjDAMGDGDr1q1hDSgiUtWY5ifhTLgPjk/BnT0N9+WnsdZ6HUukWgmp4NSvX5+1a9ce9Nrf\n//536tWrB8D+/fuJijqqx1uJiPiKiUvAuWM6pmtP7LIncefOwJbs8TqWSLURUhsZMmQI9913H6mp\nqWVrcLZs2cLIkSOB4H1y/vcIj4hIdWVq1IRrboMmzbDPLcL9v204wydgEvVwYpGKFlLBadeuHQ89\n9BDr1q2juLiYDh060LFjR+rWrVv2frt27SokqIhIVWSMwfS9AJvUFPfP9+Jmj8S5aRzmxFO9jibi\nayGfT6pbty5nnHFGRWQREfEt06Yjzvjc4E0BZ92Fuex6zFnn6GGdIhUkpIJz4MABXn/9df71r3/x\n/fffH/SeHtUgIvLbTKMknKx7cefnYp+cA1//B664EROl+4eJhFtIi4wXLVpEXl4erVu35j//+Q9d\nunRh167LnKqhAAAgAElEQVRdnHLKKRWVT0TEV0xMLM7w8ZjMS7DvvIGbOxH73bdexxLxnZAKzgcf\nfMD48ePJzMwkEAiQmZnJmDFj+Oc//1lR+UREfMc4AZwLBmFuGANbvsCdOgr71SavY4n4SkinqPbt\n20dCQgIANWvWZO/evSQnJ/Pll1+W6/OFhYXMnj2bnTt3YowhIyODzMxMnn76aT766COMMdSvX59h\nw4YRHx9/yOfXr1/PwoULcV2X3r17c/7554cSX0Qkojid07GNkoL3ypkxDnP1LThdzvQ6logvhFRw\nkpOT+eKLL2jRogVpaWk8++yzxMTEHLaMHE4gEGDQoEGkpaWxZ88exo0bR9u2bRkwYACXX345AMuX\nL+e5557jhhtuOOizruuyYMECJk6cSEJCAllZWXTq1ImUlJRQRhARiSgmtTnOhFzcOTnY+bm4W7/E\nXHAVxtHDOkWORUinqAYPHozjBD9y9dVXs3nzZtauXXtIGfk1cXFxpKWlARATE0NycjLFxcXExsaW\nbbN3797DXlWwadMmGjduTKNGjYiKiqJbt26sWbMmlPgiIhHJ1GuAM3IK5oyzsa89j/tQNvbHH7yO\nJVKlhXQEp0WLFmV/Pv7447nzzjuP+osLCgrYvHlz2T6feuop8vPziY2NZdKkSYdsX1xcXHZ6DCAh\nIYHPP//8sPvOy8sjLy8PgJycHBITE48656+JioqqkP16QbNEJr/M4pc5oBJmuf0ufjz5VL6ffx/m\nnrE0yJpBVHLTCvkqv/xe/DIHaJZwMzbEB6T897//5auvvqKkpOSg13v06FHufZSUlDBp0iQuvPBC\nunTpctB7S5cuZf/+/Vx66aUHvf7++++zfv16brrpJiD4ZPPPP/+ca6+99ojft23btnJnK6/ExEQK\nCwvDvl8vaJbI5JdZ/DIHVN4s9rN/4D6SAwcO4Fw/GnPqaWH/Dr/8XvwyB2iW8kpKSirXdiEdwVm6\ndCnPP/88KSkp1KxZs+x1Y0y5C05paSm5ubmkp6cfUm4A0tPTmT59+iEFJz4+nqKiorKfi4qKyr32\nR0SkKjGt2uBMvC94U8AH78Zc+AfM7y/UTQFFQhBSwXn55ZfJyck56oW91lrmzJlDcnIy/fv3L3t9\n+/btHH/88QCsWbPmsO2sefPmbN++nYKCAuLj43nvvfcYMWLEUeUQEYl0JqEhztgZ2L/8Cfv8Ivj6\nS7j6ZkzNWl5HE6kSQio4derU4bjjjjvqL9u4cSP5+fmkpqYyZswYAAYOHMiKFSvYvn07xhgSExPL\nFi0XFxczd+5csrKyCAQCXHPNNWRnZ+O6Lj179qRJkyZHnUVEJNKZWtFwwxhIaYZd9gT2/77BGZaF\niT/6v4dFqouQ1uCsW7eOd955h379+lG/fv2D3vN6MdFv0Rqc36ZZIpNfZvHLHODtLPbjD3Hn50LN\nWjhDx2FatD6m/fnl9+KXOUCzlFeFrMEpLS1lw4YNrF69+pD3Fi9eHMquREQkBKbd6cHnWM3Oxp05\nEXPlTTjpfb2OJRKxQio48+fPZ+DAgXTv3v2gRcYiIlLxTFJq8Ink8+7F/vUh3K83Yy69FhMV0l/l\nItVCSDf6+3ntS3R0NI7jHPSPiIhUPFO7Ds6IuzB9z8eufAX3/knY77/zOpZIxAmpmZx77rm88MIL\nhHjrHBERCSMTCOBccg1myG3wxb9xs0dit272OpZIRAnpuOarr77Kzp07Wbp0KXXq1DnovUceeSSs\nwURE5Lc53Xphj0/BfXga7vQ7cK65HXNaN69jiUSEkArOLbfcUlE5RETkKJgTWuFMuA/3kem4c3Iw\n/S/HnHs5RksHpJoLqeC0bn1slyWKiEj4mQbxOKOzsY8/gn35aezWL3GuvQ0THXvkD4v4lCq+iIgP\nmBo1MYNHYC67DjZ8iDv9DmzBdq9jiXhGBUdExCeMMTgZA3Bu/SPsLMadNhr76cdexxLxhAqOiIjP\nmNbtcSbkQv043Psn4ea9qKtfpdpRwRER8SHT8HicrHugbWfs4vnYRX/C7t/vdSyRShPSIuPdu3fz\n4osv8tVXX1FSUnLQe5MnTw5rMBEROTYmOhZnaBb2paeDi4+3b8UZmoVpEO91NJEKF1LBeeCBBygt\nLeV3v/udHtUgIlIFGMfBnHcFNqUp7qP342aPxBk2ASL4Acki4RBSwfnss8+YP38+NWrUqKg8IiJS\nAcxp3XEaJeE+lI17zzj2DM+CNp28jiVSYUJag5OamkpRUVFFZRERkQpkUk7AmXAfND+J7x64G/e5\nv2DdA17HEqkQIR3BadOmDdOmTeOss86iQYMGB73Xq1evsAYTEZHwM3Xr4dw2mVovPMae15dgt23B\nuX40JkY3BRR/Cang/Pvf/yYhIYFPPvnkkPdUcEREqgYTFUW9m8ZQktAI+/Q83OljcG65E3NcY6+j\niYRNSAVn0qRJFZVDREQqmdMzE9s4GXfODNzsUTg3jcWc1NbrWCJhcdT3wbHW4rpu2T8iIlL1mJPb\n4UyYCfUaBG8KuGq515FEwiKkIzjFxcUsWLCATz/9lB9++OGg9xYvXhzWYCIiUjlMwySccffgzs/F\nPjEH95stmMuuw0SF9K8IkYgS0hGcefPmERUVxV133UV0dDQzZsygU6dOXH/99RWVT0REKoGJrY1z\n8wRM3wuwq5bj3j8Ju/s7r2OJHLWQCs5nn33G0KFDadasGcYYmjVrxtChQ3n55ZcrKp+IiFQS4wRw\nLhmCGXIrfPFp8GGd27Z4HUvkqIRUcBzHIRAIAFC7dm2+++47atWqRXFxcYWEExGRyud0640zehrs\nLcGdPga7YY3XkURCFlLBadGiBevWrQOgXbt2zJo1i5kzZ9K8efMKCSciIt4wzU8KPpG84fG4D03F\nfX2JnkguVUpIK8huueWWsv+CDx48mJdeeok9e/bQr1+/CgknIiLeMfHH4dyRg134APa5v8DWr+AP\nwzE19CxCiXwhFZzatWuX/blmzZpcdNFFYQ8kIiKRw9SKhhvvgFcWY5c9iS3YhjNsPKZ+nNfRRH5T\nSKeo9u/fz1NPPcXNN9/M1VdfDcDHH3/Ma6+9ViHhRETEe8YYnP6X49w0DrZ+iZs9CvvVF17HEvlN\nIRWcRYsW8fXXXzNixAiMMQA0adKEN954o0LCiYhI5DCndcMZOwMMuPeMxV3zrteRRH5VSAXnww8/\nZMSIEbRq1aqs4MTHx+sqKhGRasKkpgUXHzdJw867B3fZE1jdzV4iUEgFJyoq6pDHMnz33XfUrVs3\nrKFERCRymXpxOKOyMd17Y19ejDt3BnZvidexRA4SUsHp2rUrDz30EAUFBQB8++23LFiwgG7dulVI\nOBERiUymRg3M1SMwl14L6z7AzRmLLSrwOpZImZAKzhVXXEHDhg0ZNWoUP/74IyNGjCAuLo5LLrmk\novKJiEiEMsbg9DkPZ8SdUFQQXHy86V9exxIBQrxMPCoqisGDBzN48OCyU1M/r8UREZHqybQ5DWf8\nvbgPTsWdORFz1VCcHn28jiXVXLkKTmFh4WFfLyoqKvtzYmJiufYze/Zsdu7ciTGGjIwMMjMzeeyx\nx1i7di1RUVE0atSIYcOGHXTPnZ8NHz6c6OjoskdG5OTklCe+iIhUMNM4BWf8zOB6nEUPBp9IfvFg\nzE+P9xGpbOUqOMOHDz/iNosXLz7iNoFAgEGDBpGWlsaePXsYN24cbdu2pW3btlxxxRUEAgEef/xx\nli5dylVXXXXYfUyaNIl69eqVJ7aIiFQiU7sOzq1/xD77KDZvGXb7FpwbxmBi63gdTaqhchWcpk2b\nsm/fPs4880zS09OJj48/qi+Li4sjLi5498uYmBiSk5MpLi6mXbt2Zdu0atWK999//6j2LyIi3jKB\nAOby63GTm2KfmIM7fQzO8ImYxsleR5NqplwF55577mHLli28/fbb3HnnnaSkpHDGGWfQpUsXatY8\numeSFBQUsHnzZlq0aHHQ6ytWrPjNq7KmTJmC4zj06dOHjIyMo/puERGpWE56X2yjJNxHcnCnj8a5\n8Q5M6w5ex5JqxNgQHw/rui4bNmxg1apVrF+/nrvuuou0tLSQvrSkpIRJkyZx4YUX0qVLl7LXlyxZ\nwhdffMHo0aMPu3i5uLiY+Ph4du3axdSpUxkyZAitW7c+ZLu8vDzy8vIAyMnJYd++fSHlK4+oqChK\nS0vDvl8vaJbI5JdZ/DIHaJajcaBgOzun3UHp119Sd8gtxPS7JKwXp+h3EpkqcpbyHlgJueBs27aN\nVatWsXr1aho2bMjQoUNp2LBhuT9fWlrKjBkzaNeuHf379y97fdWqVbz55pvcdddd1KpV64j7eeaZ\nZ4iOjmbAgAHlyhxuiYmJv7r4uqrRLJHJL7P4ZQ7QLEfLlvyIu2AWrP8Ak94Xc8WNmKgaYdm3fieR\nqSJnSUpKKtd25TpFtXv3bt59913efvttSkpKSE9PZ/LkyeW6cuqXrLXMmTOH5OTkg8rN+vXrWbZs\nGZMnT/7VclNSUoK1lpiYGEpKStiwYQMXX3xxSN8vIiKVz0TH4gzNCj6NfPkz2B1bcYZmYerW9zqa\n+Fi5Cs6NN95Iw4YNSU9Pp1WrVgDs2LGDHTt2lG3Tpk2bI+5n48aN5Ofnk5qaypgxYwAYOHAgCxcu\npLS0lClTpgDQsmVLbrjhBoqLi5k7dy5ZWVns2rWLmTNnAnDgwAF69OhB+/btQ5tWREQ8YRwHc8FV\nuElNgpeRZ4/CuXkCJuUEr6OJT5XrFNWRLhM3xvDQQw+FLVS46RTVb9Mskckvs/hlDtAs4WI3f477\ncDbs+RHn2pGYDl2Pel/6nUSmKnOKavbs2ccURkRE5GfmhJY4E3JxH56O+/A0zPlXYTLDu/hYJKRn\nUYmIiISDaZCAMzob0+VM7AuPY/88E7tvr9exxEdCehaViIhIuJiateDakZDcFLv0MWzBdpzhEzBx\nCV5HEx/QERwREfGMMQbnnItxhk+AHd8En0i++TOvY4kPqOCIiIjnTLvTcbLugRo1cO/Jwn1/ldeR\npIpTwRERkYhgkpvijM+FtBOxC+7DXbII67pex5IqSgVHREQihqlbD+f2yZgzzsa++jzuw9OwJT96\nHUuqIBUcERGJKCaqBs6gYZgrboJPPsKdfgf2vzuO/EGRX1DBERGRiOT0zMS5bTLsLMadNgq78ROv\nI0kVooIjIiIRy5zcDmfCTKhTH3fWXbhvv+Z1JKkiVHBERCSimYZJOFn3QusO2Mcfxn1yDra01OtY\nEuFUcEREJOKZ2NrBh3P2vQC7cjnuA3/E/vC917EkgqngiIhIlWCcAM4lQzBDboVN/8LNHkXp1196\nHUsilAqOiIhUKU633jijp8HeEorHXY/9ZK3XkSQCqeCIiEiVY5qfhDMhl0DjZNwHp+C+uQxrrdex\nJIKo4IiISJVk4o8jPvsR6NAF+8wC7GOzsaX7vY4lEUIFR0REqiwTHYNz41hM5qXYd97AnTUJu/s7\nr2NJBFDBERGRKs04Ds4FV2GuGwX/2Yg7bTR2+9dexxKPqeCIiIgvOF3OxBkTXHzsTh+D/YcWH1dn\nKjgiIuIbJu1EnAm5kNAI909TcPNe1OLjakoFR0REfMXEH4czNgfanY5dPB/7+MO683E1pIIjIiK+\nY6JjcIaOw2Regs1/Hfd+LT6ublRwRETEl4KLjwdhrr0dvvi3Fh9XMyo4IiLia07Xnjijs6Fkz0+L\nj//udSSpBCo4IiLie8E7H9/30+Lju3HfekmLj31OBUdERKoFk/CLxcdP/1mLj31OBUdERKqNssXH\n51ysxcc+p4IjIiLVinEcnAv/gLnmdvji0+C6nO1bvY4lYaaCIyIi1ZLzu544o6fBnh+DJeef67yO\nJGGkgiMiItVWcPFxLiQch/unybgrXtbiY59QwRERkWrNJDTEGTsDTu2EfWoe9olHtPjYB1RwRESk\n2jPRMTjDxmPOvgj79mu4D/wR+8P3XseSY6CCIyIiwk+Ljy+6GjPkNtj0r+Cdj3do8XFVFVWZX1ZY\nWMjs2bPZuXMnxhgyMjLIzMzkscceY+3atURFRdGoUSOGDRtG7dq1D/n8+vXrWbhwIa7r0rt3b84/\n//zKjC8iItWA060XtuHxuA9Pw502BuemOzCtO3gdS0JUqUdwAoEAgwYNYtasWWRnZ/P666+zdetW\n2rZtS25uLjNnzuT4449n6dKlh3zWdV0WLFjA+PHjmTVrFqtXr2brVjVrEREJP9Pi5ODi4/hE3Acm\n4658xetIEqJKLThxcXGkpaUBEBMTQ3JyMsXFxbRr145AIABAq1atKC4uPuSzmzZtonHjxjRq1Iio\nqCi6devGmjVrKjO+iIhUIyahIc64nxYfPzkXV4uPqxTP1uAUFBSwefNmWrRocdDrK1asoH379ods\nX1xcTEJCQtnPCQkJhy1CIiIi4WKiY3GGZWF+fyF21au4f5qsxcdVRKWuwflZSUkJubm5DB48mNjY\n2LLXlyxZQiAQID09/Zj2n5eXR15eHgA5OTkkJiYe0/4OJyoqqkL26wXNEpn8Motf5gDNEokqbY6b\nRrOnVWu+e2QGZsY4Gky4h6jkpmH9Cr/8TiAyZqn0glNaWkpubi7p6el06dKl7PVVq1axdu1a7rrr\nLowxh3wuPj6eoqKisp+LioqIj48/7HdkZGSQkZFR9nNhYWEYJwhKTEyskP16QbNEJr/M4pc5QLNE\nokqdo+3pOKOmcODh6RTdcR3OjWMxrQ8943C0/PI7gYqdJSkpqVzbVeopKmstc+bMITk5mf79+5e9\nvn79epYtW8bYsWOpVavWYT/bvHlztm/fTkFBAaWlpbz33nt06tSpsqKLiIhgWrTGGT8T4hJxH/gj\n7srlXkeSX1GpR3A2btxIfn4+qampjBkzBoCBAweycOFCSktLmTJlCgAtW7bkhhtuoLi4mLlz55KV\nlUUgEOCaa64hOzsb13Xp2bMnTZo0qcz4IiIimMRGOONm4P45F/vkHNztWzCXXY/56WIZiQzGVoOH\nbmzbti3s+9ShxMikWSKPX+YAzRKJvJzDugewS/6KfX0pnNwueMqqdp2j3p9ffidQDU9RiYiI+IVx\nAjgXD8EMvhU++2fwieQ7vvE6lvxEBUdEROQYON1744yaCj98jzt9NPbTj72OJKjgiIiIHDPT8heL\nj++fhLtKi4+9poIjIiISBua4xjhjZ8ApHbFPzMF9cg72wAGvY1VbKjgiIiJhYmJicW6egOl7AXbl\n8p/ufLzb61jVkgqOiIhIGBkngHPJEMzgEbDxH8HFx/8X/qt55bep4IiIiFQAp3sGzsgpwcXH07T4\nuLKp4IiIiFQQ0+qU4OLjBvE/LT5+1etI1YYKjoiISAUyxzXGGXfPT4uPH8F9ap4WH1cCFRwREZEK\nVrb4uM952BUv4/7pbuyPWnxckVRwREREKoFxAjiXXov5w82w8ZPg4uMCLT6uKCo4IiIilchJ74sz\n8m7Y/R1u9mjsvzd4HcmXVHBEREQqmWnVBmd8LtSPCy4+fvs1ryP5jgqOiIiIB8xxjXGy7oWT22Mf\nf5jv5t+HLS31OpZvqOCIiIh4xMTE4twyEdPnPPa88hzu/ZOw3+/yOpYvqOCIiIh46OfFx/VuvRO+\n+Dfu1JHYr77wOlaVp4IjIiISAWLOOgdn3AzA4s4Yi/v+Kq8jVWkqOCIiIhHCNG2BM+E+OKEVdsF9\nuIsX6KaAR0kFR0REJIKYeg1wbr8b0/tcbN6yn9blfOd1rCpHBUdERCTCmKgonMuvxwy5FTZ9ips9\nErtF63JCoYIjIiISoZxuvXHG5oDrBtflfPC215GqDBUcERGRCGaatcSZmAvNWmLn5+I+o3U55aGC\nIyIiEuFMvTic26dgevbDvrkM94E/al3OEajgiIiIVAEmKgrnihsxg2+Fz//107qc/3gdK2Kp4IiI\niFQhTvfeOHfkwIEDuDPu0LqcX6GCIyIiUsWYE1ri3HkfNG0RXJfz7EKty/kfKjgiIiJVkKkXhzNy\nCqZnJvaNpcF1Obu1LudnKjgiIiJVlImqgXPFTZjBI+DzfwafY/X1Zq9jRQQVHBERkSrO6Z7x/9fl\n5IzB/TDf60ieU8ERERHxAXNCK5yJ90FqC+yfZ+I+txDrVt91OSo4IiIiPmHqx+GMmoI56xzs60tx\nH5iM/eF7r2N5QgVHRETER0xUDZwrh2L+cDN89o/gupyt1W9djgqOiIiIDznpfXFGT4PS/bjT78Bd\n867XkSqVCo6IiIhPmeYn4UycBalp2Hn34D73l2qzLieqMr+ssLCQ2bNns3PnTowxZGRkkJmZyd/+\n9jeeffZZvvnmG6ZNm0bz5s0P+/nhw4cTHR2N4zgEAgFycnIqM76IiEiVE1yXMxX79J+xry/Bfr0Z\n54bRmNp1vY5WoSq14AQCAQYNGkRaWhp79uxh3LhxtG3bliZNmjB69GjmzZt3xH1MmjSJevXqVUJa\nERERfzBRNTBXDcNt2gL75Bzc7FE4w8ZjUpp5Ha3CVOopqri4ONLS0gCIiYkhOTmZ4uJiUlJSSEpK\nqswoIiIi1U7Zupx9+3Cnj8F+5N91OZ6twSkoKGDz5s20aNEipM9NmTKFsWPHkpeXV0HJRERE/Cu4\nLuc+aHIC7tx7cJcs8uW6nEo9RfWzkpIScnNzGTx4MLGxseX+3JQpU4iPj2fXrl1MnTqVpKQkWrdu\nfch2eXl5ZQUoJyeHxMTEsGX/WVRUVIXs1wuaJTL5ZRa/zAGaJRL5ZQ6o5FkSE7HT5/L9/FnsefV5\nauzYSv2Rk3HqhGcJSCT8Xiq94JSWlpKbm0t6ejpdunQJ6bPx8fEA1K9fn86dO7Np06bDFpyMjAwy\nMjLKfi4sLDy20IeRmJhYIfv1gmaJTH6ZxS9zgGaJRH6ZAzya5ZJrMI2S2PfkPP47cjDO8AmY5KbH\nvNuKnKW8S1oq9RSVtZY5c+aQnJxM//79Q/psSUkJe/bsKfvzhg0bSE1NrYiYIiIi1YZzxtk4Y36x\nLmftaq8jhUWlHsHZuHEj+fn5pKamMmbMGAAGDhxIaWkpjz76KN999x05OTk0a9aMCRMmUFxczNy5\nc8nKymLXrl3MnDkTgAMHDtCjRw/at29fmfFFRER8KbguJxd3zgzcOTMw51yMOf9KjBPwOtpRM9Za\n63WIirZt27aw71OHRSOTZok8fpkDNEsk8sscEBmz2P37sU/Nxb7zBrQ5Dee6UZjadULeT7U7RSUi\nIiKRy9SogfOHmzFXDYNPP8bNHon9ZovXsY6KCo6IiIgcxDnzbJzRU2HfXtzpo7Fr3/M6UshUcERE\nROQQpkXr4P1yklJx5+TgLn28St0vRwVHREREDss0SMAZMx2T3he7/Bnch7KxP+72Ola5qOCIiIjI\nrzI1amAGDcdcORT+tQ43e1SVWJejgiMiIiK/yRiDc9Y5OKOyoWRP8H45f4/sdTkqOCIiIlIupmVr\nnImzIKkJ7iM5uC88jnVdr2MdlgqOiIiIlJuJ+2ldTvcM7CvP4D40NSLX5ajgiIiISEhMjRqYq2/B\nXHHTT+tyRmO3Rda6HBUcERERCZkxBqdnJs7IqbDnB9xpY7Dr3vc6VhkVHBERETlqptUpwXU5x6fg\nPjwNd9kTEbEuRwVHREREjomJT8S5Yzqme2/sy4vZlXsXXj/qslKfJi4iIiL+ZGrUhKtHQNMW1GrY\nmFJjPM2jgiMiIiJhYYzB9OxHTGIiP3j8ZHSdohIRERHfUcERERER31HBEREREd9RwRERERHfUcER\nERER31HBEREREd9RwRERERHfUcERERER31HBEREREd9RwRERERHfUcERERER31HBEREREd9RwRER\nERHfMdZa63UIERERkXCK8jpAZdi2bVvY95mYmEihx4+CDxfNEpn8Motf5gDNEon8MgdolvJKSkoq\n13Y6RSUiIiK+o4IjIiIivqOCIyIiIr6jgiMiIiK+o4IjIiIivqOCIyIiIr6jgiMiIiK+o4IjIiIi\nvqOCIyIiIr4TMXcyXr9+PQsXLsR1XXr37s35559/0PvWWhYuXMi6deuoVasWw4YNIy0tzaO0IiIi\nEski4giO67osWLCA8ePHM2vWLFavXs3WrVsP2mbdunXs2LGDP/3pT9xwww3Mnz/fo7QiIiIS6SKi\n4GzatInGjRvTqFEjoqKi6NatG2vWrDlom48++ogzzjgDYwytWrXihx9+4Ntvv/UosYiIiESyiDhF\nVVxcTEJCQtnPCQkJfP7554dsk5iYeNA2xcXFxMXFHbK/vLw88vLyAMjJyeGRRx4Je2bHcXBdN+z7\n9YJmiUx+mcUvc4BmiUR+mQM0S3lNmTKlXNtFRMEJt4yMDDIyMsp+Hjp0aNi/Q099jUyaJfL4ZQ7Q\nLJHIL3OAZgm3iDhFFR8fT1FRUdnPRUVFxMfHH7LNL//DOtw2IiIiIhAhBad58+Zs376dgoICSktL\nee+99+jUqdNB23Tq1In8/HystXz22WfExsYe9vSUiIiISEScogoEAlxzzTVkZ2fjui49e/akSZMm\nvPHGGwD07duXDh068Pe//50RI0ZQs2ZNhg0b5nFqERERiVQRUXAAOnbsSMeOHQ96rW/fvmV/NsZw\n3XXXVXYsERERqYIi4hSViIiISDip4Ij8P/buPM6nevHj+OtzZsFYZiWZIdkqkQhJSZYkqZSKXKJ7\nq1uUyq0buiWpKEmLPS3U/Qk3hjakZLstloQWhIoQs9FgzJjz+f0xmttk6TDznTPf77yfj4dH8z3f\nM9/v+2Py9XbO+ZyPiIiEHBUcERERCTkqOCIiIhJyVHBEREQk5KjgiIiISMhRwREREZGQo4IjIiIi\nIUcFR0REREKOCo6IiIiEHBUcERERCTkqOCIiIhJyVHBEREQk5KjgiIiISMhRwREREZGQo4IjIiIi\nIUcFR0REREKOCo6IiIiEHBUcERERCTkqOCIiIhJyVHBEREQk5KjgiIiISMhRwREREZGQo4IjIiIi\nIQHLnK4AACAASURBVEcFR0REREKOCo6IiIiEHBUcERERCTkqOCIiIhJyVHBEREQk5KjgiIiISMhR\nwREREZGQo4IjIiIiIUcFR0REREKOCo6IiIiEHBUcERERCTkqOCIiIhJyVHBEREQk5KjgiIiISMhR\nwREREZGQo4IjIiIiIUcFR0REREJOoQpOcnJyUeUQERERKTKFKjjffvttUeUQERERKTKFKjiDBg0q\nqhwiIiIiRSbc646u67Jx40bS09OJjY2lXr16OI4u4REREZGSx1PB+fHHHxk5ciQ5OTnExcWRlpZG\nREQEDzzwADVr1gxwRBEREZGT46ngjB8/niuuuILOnTtjjMFay3vvvcf48eN5+umnA51RRERE5KR4\nOse0c+dOrrrqKowxABhj6NSpE7t27QpoOBEREZFT4angNG7cmJUrVxbYtnLlSho3bhyQUCIiIiKF\n4ekUleu6PP/889SqVYv4+HhSU1PZsmULTZs2ZcyYMfn73X333QELKiIiIuKVp4JTvXp1qlevnv84\nKSmJRo0aBSyUiIiISGF4Kjg33nhjoHOIiIiIFBnP98E5fPgwO3bsYN++fQW2N2jQoMhDiYiIiBSG\np4Lz3Xff8dxzz5GTk8PBgwcpV64cWVlZxMfHF7gGR0RERKQk8DSLasqUKVxzzTW89tprlCtXjtde\ne42uXbvSoUOHQOcTEREROWmeCs6OHTvo1KlTgW1dunThvffeC0goERERkcLwVHCioqI4ePAgADEx\nMWzfvp3MzEyysrICGk5ERETkVHi6BufCCy/kyy+/5JJLLqFNmzYMHTqUsLAwWrRoUegAmZmZjB49\nmj179lC5cmXuv/9+KlSocNR+48aNY/Xq1URHRzNq1KhCv6+IiIiELk8Fp0+fPvlfX3PNNdSrV4+D\nBw8Wyb1wkpOTadiwIV26dCE5OZnk5GR69ux51H6XXXYZHTt2ZOzYsYV+TxEREQltnk5R/dHZZ59N\n48aNcZxT+vYCVqxYQevWrQFo3bo1K1asOOZ+9evXP+aRHREREZE/KnxDKaS9e/cSGxsL5F3fs3fv\nXp8TiYiISLDzfKO/whg2bBgZGRlHbe/evXuBx8aY/BXLC2PhwoUsXLgQgBEjRpCQkFDo1/yj8PDw\ngLyuHzSWkilUxhIq4wCNpSQKlXGAxlLkGYrjTR555JHjPhcdHU16ejqxsbGkp6dTqVKlQr9f+/bt\nad++ff7jlJSUQr/mHyUkJATkdf2gsZRMoTKWUBkHaCwlUaiMAzQWr6pVq+ZpP99PUTVt2pTFixcD\nsHjxYpo1a+ZzIhEREQl2hSo4w4cPL3SALl26sHbtWvr378+6devo0qULAGlpaQVe//nnn+df//oX\nO3bs4M477+Tjjz8u9HuLiIhIaCrUKaqzzz670AEqVqzIo48+etT2uLg4Bg0alP/4vvvuK/R7iYiI\nSOlQqCM41113XVHlEJEQZHfvIHPGa9hDh/yOIiKljKeC88wzz/Dpp5+SnZ0d6DwiEiJsbi7uxGfY\nP+1l3JGDsBmpfkcSkVLEU8GpX78+c+fO5fbbb2fMmDGsWbMG13UDnU1EgphdMBt+2kLU1d1g13bc\nJx/A/rTZ71giUkp4uganc+fOdO7cmZ07d7Js2TKmTJlCZmYmF110EX/9618DnVFEgozdtR07dxo0\naUnFv95LVuOWuC8Nw31mEM5t/8Ccf6HfEUUkxJ3UNTinn346N954I/feey9nnHEG8+fPD1QuEQlS\n1nVxp7wEkWVwevwdAFP9TJzBz0LVJNxxT+EumI211uekIhLKPM+i2rVrF8uXL2f58uXs27ePFi1a\ncMMNNwQym4gEIfvJ+/D9t5hb78VEx+ZvNzFxOA8Ox31tNHbma7DrZ+hxJya8WO43KiKljKdPlkGD\nBrFjxw6aNm1Kr169OO+88wgLCwt0NhEJMjblF+ysqdCgCeaitkc9b8qUwbnjn9g5/8a+PxOb8gvO\n3x/ClNdCuiJStDwVnKuvvpqmTZsSGRkZ6DwiEqSstbhvjAUMTs++x11XzjgO5rpeuKdVw04dizvi\nQZx7HsFU8Xb7dRERLzxdg9OyZUsOHTrEkiVLmDNnDpB3p+HUVE37FJE89r8fwzdrMF1vwcRX+dP9\nnZbtcAY8Dr/uw33qQezG9cWQUkRKC08F55tvvuG+++5j6dKlvP3220DeNTkvv/xyQMOJSHCwGWnY\nGZOhbn1M6ys9f5+p1wBn8EioWAn3uUdx/6slWESkaHgqOK+//jr33XcfDz/8cP61N3Xq1GHzZt3T\nQqS0s9bi/t8EyMnBueUejHNyN0g3VarhDBwJdetjX3sed/YbWN1nS0QKydMn0Z49e2jYsGGBbeHh\n4eTm5gYklIgEkdX/hS8/w1xzM6Zq4im9hClfAefexzCtOmDfn4k76Rkt7yAiheKp4CQlJbFmzZoC\n29atW0eNGjUCEkpEgoPN3If77wlwRh3M5V0K9VomPBzTqx/mxr/C6k9xnx2MzUgroqQiUtp4Kji9\nevXipZdeYsyYMWRnZzNp0iTGjRtHz549A51PREowO/0VOJCJ0/seTBHcOsIYg9OhC07fwbBzG+7w\nB7DbthZBUhEpbTwVnHr16jFy5EiqV69OmzZtqFKlCk899RR16tQJdD4RKaHsulXYzxZhrrwBU/3M\nIn1tc/6FOP8cAa7Fffoh7FdfFOnri0jo+9OC47oujz32GBUrVuTaa6/ltttuo0uXLsTHxxdHPhEp\ngezBA7hvjoXTq2M63RSQ9zA1auE8fGR5h7FP4n44R8s7iIhnf1pwHMdh9+7d+mARkXx21hRIT807\nNRUREbD3MTHxOA8Oh8YtsDNewb45Hnv4cMDeT0RCh6dTVDfccAMvv/wye/bswXXdAr9EpHSxG9Zj\nP/kA0+4aTO2zA/5+pkyZvOUcruyKXTIP98Wh2AOZAX9fEQlunpZqmDhxIgBLliw56rnp06cXbSIR\nKbFs9iHcqS9B5aqYLn8ptvc1joO5vjfuaYnYN8bhDv/nkeUdTi+2DCISXDwVnDFjxgQ6h4gEATv3\n/2D3TpwBwzBlyhb7+zsXt8cmVMUdPxx3+AM4fR/G1K1f7DlEpOTzdIqqcuXKVK5cmYSEBMqUKUNC\nQkL+NhEpHezWTdgFczCtOmDOaeRbDnNWA5xBI6F8Jdzn/oX76SLfsohIyeXpCM7+/ft59dVX+fTT\nT8nNzSU8PJwWLVpw6623UqFChUBnFBGf2cM5uFNehOgYzA23+h0Hc1o1nEHP4I4fgX11NO6unzHX\n9jjpZSJEJHR5+jQYN24c2dnZPPPMM0ydOpWnn36anJwcxo0bF+h8IlIC2A/ehp9/xOnZFxNV3u84\nAJjyFXHuG3pkeYcZ2JefxWZreQcRyeOp4Kxfv5577rmHpKQkypQpQ1JSEv369eObb74JdD4R8Zn9\n+UfsezMwzS/FNGrud5wC8pd3uOFW7KrluM8+jN2b7ncsESkBPBWcxMREdu/eXWBbSkoK1apVC0go\nESkZrJuLO+UlKBeF6X6733GOyRiDc8V1OHcNgp9/xH3qAex2Le8gUtp5uganQYMGPPnkk7Rq1YqE\nhARSUlJYunQpl156KR9//HH+fm3btg1YUBEpfnbhO7B1I+a2f2AqRvsd54RM4xY4D43AfekJ3BED\nce54AHNeM79jiYhPPBWcTZs2UbVqVTZt2sSmTZsAqFq1Khs3bmTjxo35+6ngiIQOu3sHds6b0Kg5\npvmlfsfxxNSojTP4WdwxT+COeRJz018x7a7GGON3NBEpZp4KzpAhQwKdQ0RKEGst7tSxEBaO85e7\ngqogmNh4nH8Ox33lOez0yfDLz9D9jiJZ7VxEgofmVIrIUezS+bBhHeaGWzGxwbewrilTFufOgZiO\nXbGffID74uNa3kGklFHBEZECbFoKduZrcPZ5mFYd/I5zyozj4HTtjel9D2xYizviIeyeXX7HEpFi\nooIjIvmstbhvjgPXxbnl7qA6NXU8ziWX49z/OOxNz5th9b1ubyFSGqjgiEg++8USWLcSc11PTOWq\nfscpMuashnnLO0RVwB31L9zPPvE7kogEmKeCs337djIyMgDIyspixowZzJw5k0OHdNdQkVBh92Vg\n35oEtc7CtO3sd5wiZ6om4gweCbXPwb7yHO6cf2Ot9TuWiASIp4LzwgsvcODAAQCmTp3Kt99+y6ZN\nm5g0aVJAw4lI8bFvvQxZB3F634NxQnPGUd7yDo9hLm6PfXe6lncQCWGeponv3r2batWqYa3liy++\n4LnnniMyMpK777470PlEpBjYNZ9hVyzFXPsXTLUafscJKBMeAb3vgaqJ2FlTsam7cfoNxlSK9Tua\niBQhT0dwIiMjOXjwIN9//z0JCQlUqlSJiIgIcnJyAp1PRALMHsjEfXMCJNXEdOzqd5xiYYzB6dgV\n586BsP0H3CcfwG7/we9YIlKEPBWciy++mMcff5yxY8dy2WWXAbB161aqVKkSyGwiUgzszNfg1wyc\nPv0x4Z4O6oYM0+QinH+OADcX9+mHsOtW+R1JRIqIp0+zPn368NVXXxEWFkaDBg2AvH8B9e7dO6Dh\nRCSw7LdfYZd9iOnYFXNGHb/j+MKcURtn8CjcMcNwXxqG6XYbTrvQu8hapLTxVHC++OILmjRpQvjv\n/nVXu3btgIUSkcCzh7Jwp46B0xIxV3f3O46vTGw8zoNHlnd4axLuL9sx3W7X8g4iQczTKaqZM2dy\n++23M2HCBNavXx/oTCJSDOzsNyDll7wb+kWW8TuO70zZcjh3DcJccR120fu4Y4ZhD+z3O5aInCJP\nR3BGjhzJ9u3bWbZsGRMnTiQnJ4eWLVtyySWXUKtWrUBnFJEiZjd/h/34XUybTph65/odp8QwjoO5\n4Vbc0xKx/x6P+/RDOHf/K6RueihSWni+k3FSUhLdu3fnpZdeYsCAAfz0008MGjQokNlEJABsTg7u\nlJcgNgFz/S1+xymRnFYdcO59DDJScYc/iN38nd+RROQkndRSDSkpKcydO5fJkyezefNm2rRpE6hc\nIhIg9t3psHMbTq9+mLJRfscpscw5jXAGPQvlonCffRj388V+RxKRk+DpFNX8+fNZtmwZP/74I40b\nN+aGG2446qJjESn57E9bsPP+g7moLaZBE7/jlHimaiLOoJG440dgJ49i/+FsuPhyv2OJiAeeGsrq\n1au5/PLLad68OWXLlg10JhEJAJubizvlRahQCdPtb37HCRqmQiWc+4fiTnyGzH9PxGnYVHc9FgkC\nnk5RDRo0iEsvvVTlRiSI2QWz4actOD3uxJSv6HecoGLCI3C69oHDOdiP3vU7joh4cFLX4IhIcLK7\ntmPnToMmLTEXtPQ7TlAyVRMp0+Iy7KL3sQcP+B1HRP6ECo5IiLOumzdrKrIMTo+/+x0nqJW/vicc\n3I9dMt/vKCLyJ1RwREKc/eR9+P5bTLfbMNG6dqQwIuqcA2efh104B6vFhkVKNBUckRBmU37BzpoK\nDZpgLtJtHYqC07ErZKRhP//E7ygicgKeZlHt3r2badOm8cMPP5CVlVXgufHjxwckmIgUjrUW941x\ngMHp2Q9jjN+RQkP986FGLez8WdiW7TCO/p0oUhJ5KjgvvPACp512GrfccgtlymjNGpFgYP/7MXzz\nJabHnZj4yn7HCRnGGEzHrthJI2HN59DkIr8jicgxeCo427dvZ9iwYTj6l4pIULAZadgZk6FufUzr\njn7HCTmmSUts5aq4897GadxCR8dESiBPjeWcc87hhx9+CHAUESkq7rSJkJODc8s9OoUSACYsDNOh\nC2zdCBu/9juOiByDpyM4lStX5sknn6R58+bExMQUeK5bt24BCSYip8auWg6rP8V07Y2pmuh3nJBl\nWrbDzp2GO+8/hJ3VwO84IvIHngrOoUOHuOCCC8jNzSU1NTXQmUTkFNnMfbj/ngBn1MFc3sXvOCHN\nRJbBtLsam/wmdttWTPUz/Y4kIr/jqeD07ds30DlEpAjY6a/AgUyc+x/HhIX5HSfkmcs6YT94Gztv\nFub2f/gdR0R+57gFZ/fu3VSpUgWAX3755bgvcNpppxUqQGZmJqNHj2bPnj1UrlyZ+++/nwoVKhTY\nJyUlhbFjx5KRkYExhvbt29OpU6dCva9IqLHrVmE/W4Tp3E1HE4qJKV8B0/oK7MK52C5/wVSu6nck\nETniuAXngQceYOrUqQD079//uC8wffr0QgVITk6mYcOGdOnSheTkZJKTk+nZs2eBfcLCwujVqxe1\natXi4MGDDBw4kPPOO4+kpKRCvbdIqLAHD+C+ORZOr47pdJPfcUoV0/5a7EfvYj9MxvS40+84InLE\ncQvOb+UGCl9iTmTFihU89thjALRu3ZrHHnvsqIITGxtLbGzeLebLlStHYmIiaWlpKjgiR9hZUyA9\nFeehpzEREX7HKVVMbDymxWXY5QuxV9+MqRjtdyQRoQQs1bB379788hITE8PevXtPuP/u3bvZunUr\nderUKY54IiWe3bge+8kHmHbXYGqf7XecUslccT3k5GA/ftfvKCJyhKeLjHNzc5k/fz7ffPMNv/76\na4Hnhg4d+qffP2zYMDIyMo7a3r179wKPjTEnvGFWVlYWo0aNok+fPkRFRR13v4ULF7Jw4UIARowY\nQUJCwp9mPFnh4eEBeV0/aCwlk5ex2EOHSH1zPGGnVSP+b/0xZcsVUzrvSsXPJCGBjOatyP7kfeJ6\n3I5T7vifTyVFqPxcQmUcoLEUeQYvO02ZMoX169fTvn17pk2bxs0338yCBQto2bKlpzd55JFHjvtc\ndHQ06enpxMbGkp6eTqVKlY653+HDhxk1ahStWrXiwgsvPOH7tW/fnvbt2+c/TklJ8ZTzZCQkJATk\ndf2gsZRMXsbi/uc17M5tOAOGkZq5HzL3F1M670rLz8S26Yz9fAkpc6bhtL+2mJOdvFD5uYTKOEBj\n8apatWqe9vN0iurzzz9n8ODBdOrUibCwMDp16sSDDz7I118X/g6eTZs2ZfHixQAsXryYZs2aHbWP\ntZYJEyaQmJhI586dC/2eIqHA/rAJu2AOplUHzDmN/I5T6pnaZ0O9BtgFc7CHc/yOI1LqeSo42dnZ\nxMfHAxAZGcmhQ4dITEwskuUbunTpwtq1a+nfvz/r1q2jS5e8m5OlpaUxfPhwADZs2MCSJUtYv349\nDz74IA8++CCrV68u9HuLBCt7OAf39RchOgZzw61+x5EjnI5dIT0F+8USv6OIlHqeTlElJiayefNm\n6tSpQ61atZg5cyblypUjLi6u0AEqVqzIo48+etT2uLg4Bg0aBMDZZ5/NjBkzCv1eIqHCfvA2/Pwj\nzt3/wkSV9zuO/KZBE0iqiZ03C9uijdYBE/GRpz99ffr0yV9JvHfv3mzdupVVq1Zxxx13BDSciBzN\n/vwT9r0ZmOaXYho19zuO/I4xJm9G1c5tsG6l33FESjVPR3B+PyX79NNPP+FFwyISONbNxZ3yIpSL\nwnS/3e84cgymWSts8pu4H/yHMBVQEd94Kjjr168/9jeHhxMfH0/lypWLNJSIHJtd+A5s3Yi5/QHd\nUK6EMmFhmA5dsNMmYTd9g6lb3+9IIqWSp4Izfvx40tPTgbxrZn67F050dDQZGRnUqFGD++67j9NP\nPz1wSUVKObt7B3bOm9CoOaZZK7/jyAmYiy/HvvMW7ry3CVPBEfGFp4LTtm1bDhw4QLdu3YiMjCQ7\nO5sZM2YQFRVFp06dmDp1KpMnT9apK5EAsdbiTh0LYeE4f7nrhDfEFP+ZMmUwbTtj5/4f9ucfMYln\n+B1JpNTxdJHx+++/T48ePYiMjATypop3796d9957j7Jly3LLLbewZcuWgAYVKc3s0vmwYR3mxr9i\nYuP9jiMemDadoExZ7LxZfkcRKZU8FZyyZcuyefPmAtu2bNlCmTJl8l5EUyFFAsampWBnvgZnn4e5\n5HK/44hHpkIlTKsO2BVLsKl7/I4jUup4OkV100038cQTT9C0aVPi4+NJTU1l1apV/PWvfwVg3bp1\nf7p8goicPGst7pvjwHVxbrlbp6aCjLn8Wuyi97AfJmvWm0gx81RwWrduTe3atfnss89IT0+nWrVq\nXH/99SQlJQFwwQUXcMEFFwQ0qEhpZL9YAutWYrr9DVO5qt9x5CSZuMqY5pdily7Adu6GqXDstfZE\npOh5KjgASUlJ3HDDDYHMIiK/42akYd+aBLXOwrTVGmzBylzRFfvpIuzH72GuudnvOCKlhi6eESmh\n9r3yPGQdxOl9D8YJ8zuOnCKTWAMaNccuehd7KMvvOCKlhgqOSAlk13zOoWULMVd1w1Sr4XccKSSn\n4/WQ+St22UK/o4iUGp5PUYnIqbOuC1kH4eABOLg//7/2D485eAAOHMB+u4bwmnVwO3b1O7oUAVOn\nPtQ5B/thMrZ1R0y4PnpFAu2k/pSlpKSQlpZGvXr1ApVHpMSxbm7BcnLgABw8gP1jMTny32OWlqyD\nYO2J3ygsDMpFQbnyUOV0Kt09mL36izBkOB1vwB0zDLtyKaZFG7/jiIQ8T5+eKSkpvPDCC/zwww8A\nvPHGG3z22WesWbOGO++8M5D5RArFurlw8OAxSshvR0t+236sIypHvs46+OdvFBZ+pJwcKSjloqDy\n6ZhyURBVvsBz5vf7/P6/kZEFpoFHJCRASkoAf3ekWDW8AKrVwM6bhb3wMk35FwkwTwVn0qRJNG7c\nmKFDh/K3v/0NgPPOO4+pU6cGNJyIV/bwYezbU0jbtpncfXv/V1AOeSgn4eFHF45KMZijSkgUJuoY\nxaRcFERE6i8sOSHjOJgrrse+9jysXwUNm/odSSSkeSo433//PQMHDixwx+KoqCgOHDgQsGAiXlk3\nF/vqaOyKpXBuYzi9esGjJFEnPnJiIiL8HoKUEqb5pdg5b+YtwqmCIxJQngpOdHQ0u3btolq1avnb\ntm/fTkJCQsCCiXhh3Vzsay9iVyzFdO1NXM+/k6LTOlJCmfBwzOVdsNMnYzd/h6l9tt+RREKWp2ni\nV199NU8//TSLFi3CdV2WLVvG6NGjufbaawOdT+S4rOti3xiH/WwR5toeOJpxJEHAtOoA5Sviznvb\n7ygiIc3TEZy2bdtSsWJFFi5cSHx8PIsXL6Zbt240b9480PlEjslai502EbvsQ8xVN+F07u53JBFP\nTJmymDZXYd99C7tzG+b06n5HEglJnuegNmvWjGbNmgUyi4gn1lrsjFewn3yAueI6zLV/8TuSyEkx\nbTtjF8zCzp+F6XOv33FEQtJxC87HH3/s6QXatm1bZGFE/oy1FjtrKnbhXEy7qzFd+2j2kgQdU7ES\n5pIO2MXzsNf8BROn6xlFitpxC87SpUvzv7bWsmHDBmJiYoiPjyc1NZWMjAzOPvtsFRwpVnbuNOy8\ntzGtO2K63aZyI0HLXH4t9pP3sQvnYG76m99xRELOcQvOkCFD8r9+9dVXadasGVdddVX+tvfff59d\nu3YFNp3I77jvzcC++xbm4vaYHneq3EhQMwmnYZq1wi5ZgL2qG6Z8Bb8jiYQUT7Ooli5dypVXXllg\nW8eOHQsc5REJJHf+bGzym5gWbTC39MM4WidWgp/peD0cOoj95H2/o4iEHE9/S8TExLBy5coC21au\nXEmlSpUCEkrk99yP3sH+5zVM00swffpjnDC/I4kUCZN0JjS4APvRO9jsQ37HEQkpnmZR3XrrrYwa\nNYq5c+cSHx9PSkoK27dvZ8CAAYHOJ6Wc+8kH2LdehsYtMH8bgAlTuZHQ4lzZFXfkYOzyjzBtOvkd\nRyRkeCo45513Hi+99BJr1qwhLS2NJk2a0KRJEypWrBjofFKKucs+xP57PDRsinPHgxitrC2hqO65\nUOss7ILZ2EuvUIkXKSKe/8aoVKkSl156aSCziORzP1uEnToG6jfGuWsgJlzrRUloMsbgdOyKO+4p\n7KrlmOb6nBUpCp4KzqOPPnrcGStDhw4t0kAi7opl2FdfgHoNcPoNxkRE+h1JJLAaNYeqSdgP3sY2\na6UZgiJFwPNSDb+XkZHBokWLaNWqVUBCSellV3+Knfws1D4b555HMJFl/I4kEnDGcTAdr8e+/iJ8\n/SU0aOJ3JJGg56ngXHbZZUdta9GiBePGjeOGG24o6kxSStmvVuBOGgk16+Lc+yimTFm/I4kUG3Nh\na2zyv3HnvU2YCo5IoZ3yzUTi4uL48ccfizKLlGL26y9xJwyHpJo49w7BlI3yO5JIsTLhEZjLr4EN\n67BbN/odRyToeTqC88d1qbKzs/n888+pV69eQEJJ6WK/W4s79kmoWh3n/qGYKN3RVUonc+kV2Pdm\n5B3FuWuQ33FEgpqngvPHOxaXKVOGs846q8DSDSKnwm78GvelYVC5Ks6AxzHldesBKb1M2SjMZVdh\nP5iJ3bUdUzXJ70giQctTwfn9ulQiRcVu/g73xcchLgFnwDBMxWi/I4n4zrTrjP0wGbsgGXPL3X7H\nEQlanq7BufXWW4+5/bbbbivSMFJ62B+/x31hKFSKxhnwBCY61u9IIiWCqRSDubgd9tOPsRmpfscR\nCVqeCk5ubu5R2w4fPozrukUeSEKf3bYV97lHIao8zj+exMTG+x1JpEQxHa6DXBe7cK7fUUSC1glP\nUf12g7+cnJyjTlOlpqbqImM5afbnn3CfewTKlMX5xxOY+Mp+RxIpcUzlqpimF2MXz8N2ulEX3ouc\nghMWnN9u8Pf999/Tpk2b/O3GGKKjo2nQoEFg00lIsbu24z73LwgLzys3lav6HUmkxDIdr8euWIpd\nPA9zpe43JnKyTlhwfrvBX926dUlMTCyOPBKi7O4duKP+BdbiPPAE5rRqfkcSKdFMjdpQvzF24Vxs\n+2u0ZInISTpuwVmyZEn+4pobNmxgw4YNx9zvj8s4iPyRTfklr9wczsF54CnM6Zr6KuKF0/F63Oce\nwf73Y0zrjn7HEQkqxy04y5cvzy84f7wPzu+p4MiJ2LQ9eeUm62DeaanEM/yOJBI8zj4PatbFf2z4\ntgAAIABJREFULpiNbXU5xgnzO5FI0DhuwRk06H930dR9cORU2IxU3FGPwP5fce4flnfIXUQ8M8bg\ndOyKO2EErP4Uml7idySRoOHpRn+/2bt3L1lZWQW2nXbaaUUaSEKD3ZeeV272puctv3BmXb8jiQSn\nxhdClWq482bhXHAxxhi/E4kEBU8FZ82aNYwfP56MjIyjnps+fXqRh5LgZn/dl3efm7Q9eQtn1j7b\n70giQcs4YZgrrsO+MRa+/Qrqn+93JJGg4KngvPLKK3Tt2pXLLruMyEhdyS/HZ/dn4o5+BHbvxLnn\nEUw93UpApLDMRW2xc6flLcKpgiPiiac7GWdmZnL55Zer3MgJ2QP7cZ8fAju34fQdhDmnkd+RREKC\niYjAtL8avv0K++P3fscRCQqeCk7btm1ZtGhRoLNIELNZB3BfHArbtuDcORDT4AK/I4mEFHNpRygX\nhZ03y+8oIkHB0ymqTZs28cEHHzBnzhxiYmIKPDd06NCABJPgYQ9l4b40DLZuxPn7PzGNmvsdSSTk\nmKjymNZXYufPxu7egamim2WKnIingtO2bVvd70aOyWYfwh37JGz6FnPbAEyTln5HEglZpt3VeXc2\nnp+M6dXX7zgiJZqngvPbkg0iv2dzcnDHD4fv1mL63IvT/FK/I4mENBMTh2nZFvvfj7DX3IyJjvU7\nkkiJ5angfPzxx8fcHhERQXx8PHXr1iUiIqJIg0nJZg/n4E58GtavxtxyN05LHeETKQ6mw3XYpQuw\nH72Duf4Wv+OIlFieCs6SJUvYuHEj0dHRxMfHk5qayt69e6lduza7d+8G4J///Ce1a+tOtaWBzc3F\nfXkUfPUFpsedOK06+B1JpNQwp1WDJhdhP/kAe+UNmHJRfkcSKZE8FZykpCSaN29Op06d8rfNmzeP\nn3/+mccff5xZs2bx6quv8uSTTwYsqJQM1s3FvvIcrP4vptvfcNp0+vNvEpEi5XTsirvqv9gl8zBX\nXO93HJESydM08eXLl9OxY8GVbDt06MCyZcswxnDNNdewffv2gASUksO6Lvb1F7ErlmKu743T/lq/\nI4mUSqZmXTinEfbDudicHL/jiJRIngpOdHQ0q1atKrBt9erVVKpUCYCcnBzCw09qWSsJMtZ1sW+O\nw366CHNtD5wru/odSaRUczpeD3vTsJ/pHmUix+Kpldx6660899xz1KhRI/8anJ9++okBAwYAeffJ\n+eMRHgkd1lrstEnYpQswnW7C6dzd70gics75UKNW3n1xLm6HccL8TiRSongqOI0aNWLMmDF8+eWX\npKWl0bhxY5o0aULFihXzn2/U6NRuy5+Zmcno0aPZs2cPlStX5v7776dChQoF9snOzmbIkCEcPnyY\n3NxcWrRowU033XRK7ycnx1qLnfEq9pP3MR2uw3T5i9+RRAQwxmA6dsVOGglrPgfdg0qkAM/nlSpW\nrMillxb9fU6Sk5Np2LAhXbp0ITk5meTkZHr27Flgn4iICIYMGULZsmU5fPgwjz76KOeffz716tUr\n8jzyP9Za7Kyp2IVzMO2uxtzQB2OM37FE5AjTpCW2clXcebNwGl+kP58iv+Op4OTm5jJ//ny++eYb\nfv311wLPFXaphhUrVvDYY48B0Lp1ax577LGjCo4xhrJly+Znyc3N1R/kYmDnTsPOexvTuiOm2236\nPRcpYUxYWN59cf49Hjauh7Ma+h1JpMTwVHCmTJnC+vXrad++PdOmTePmm29mwYIFtGxZ+EOie/fu\nJTY2726cMTEx7N2795j7ua7LQw89xK5du7jiiiuoW7fucV9z4cKFLFy4EIARI0aQkJBQ6Jx/FB4e\nHpDX9cOxxrL/P1PIfPctyrbrTKW+AzGOp+vRfRfqP5dgFCrjgJI5Fnv1TaS8+xbhH80l9uI2nr+v\nJI7lVITKOEBjKfIMXnb6/PPPefLJJ0lISGDGjBl06tSJRo0aMWnSJE9vMmzYMDIyMo7a3r17wYtV\njTHHPUrgOA4jR45k//79PPvss/z000/UqFHjmPu2b9+e9u3b5z9OSUnxlPNkJCQkBOR1/fDHsbgL\nZmNnvoZpcRnZN/2N1LQ0H9OdnFD+uQSrUBkHlNyx2DZXkZ38JntWf4GpUcvT95TUsZysUBkHaCxe\nVavmbaFZTwUnOzub+Ph4ACIjIzl06BCJiYn88MMPnt7kkUceOe5z0dHRpKenExsbS3p6ev7U8+Mp\nX7485557LmvWrDluwZFT5370bl65ueBiTJ97NTNDJAiYNp2w897Gzp+Fuf0Bv+OIlAiezjskJiay\nefNmAGrVqsXMmTN5++23iYuLK3SApk2bsnjxYgAWL15Ms2bNjtpn37597N+/H8grW2vXriUxMbHQ\n7y0FuYvnYd+aBOe3wNz2D0yYyo1IMDBRFTCXdsSuWIbds8vvOCIlgqeC06dPH5wj12D07t2brVu3\nsmrVKu64445CB+jSpQtr166lf//+rFu3ji5dugCQlpbG8OHDAUhPT2fo0KE88MADDBo0iPPOO48L\nLrig0O8t/+MuX4h9cxw0bIrz9wcxunGjSFAx7a8Bx8EuSPY7ikiJYKy11u8QgbZjx44if81QOlda\n/utV7HvhcTjnfJy7H8ZERPod6ZSF0s8lVMYSKuOAkj8W9/UXsV8swRkxGVMp5oT7lvSxeBUq4wCN\nxasivQYHYM+ePfz4449kZWUV2H7JJZecXDIpUezKZex7+Vmo1wCn7+CgLjcipZ254nrsfz/Cfvwu\npkvPP/8GkRDmqeDMnj2bt99+m6SkJCIj//cXoDFGBSfI2R82EXFWQ3L7DsaUKeN3HBEpBHN6Epx/\nIXbR+9iO12PKRvkdScQ3ngrOu+++y4gRI0hKSgp0HilmpmsfYqMrkbrv1z/fWURKPKdjV9wvP8Mu\nWYDp0MXvOCK+8XSRcYUKFahcuXKgs4gPjDGYSB25EQkVptZZUK8B9sM52MM5fscR8Y3nWVQTJ05k\n8+bNpKSkFPglIiIli3NlV8hIxX6+xO8oIr7xdIrq8OHDrF27luXLlx/13PTp04s8lIiIFMK5TSDp\nTOz8WdiL2gTNUisiRclTwZk8eTI333wzF198cYGLjEVEpOQxxmA6Xo+dPArWroDzL/Q7kkix81Tr\nXdelTZs2lC1bFsdxCvwSEZGSxzS9BOKr4M57m1JwuzORo3hqKFdffTXJycn6QyIiEiRMWBjmiutg\n83ew6Ru/44gUO0+nqD744AMyMjKYPXs2FSpUKPDc+PHjAxJMREQKx7Rsj507DXfe24TVO9fvOCLF\nylPBueeeewKdQ0REipgpUwbTrjN2zv9ht/+ASarpdySRYuOp4NSvXz/QOUREJABMm6uw82Zh58/C\n/G2A33FEio2uEhYRCWGmfEVMqyuwXyzBpu72O45IsVHBEREJcebya8AY7Idz/I4iUmxUcEREQpyJ\nq4xp3hq7dAH2131+xxEpFio4IiKlgOl4PWQfwi561+8oIsXC00XGmZmZzJ07lx9//JGsrKwCzw0d\nOjQgwUREpOiYajWgUXPsx+9hr7je7zgiAeep4LzwwgscPnyYiy66SEs1iIgEKadjV9ynH8Iu+xC6\n3ep3HJGA8lRwNm7cyOTJk4mIiAh0HhERCRBT5xyoUx+7IBnbtZffcUQCytM1ODVq1CA1NTXQWURE\nJMCcjl0hbQ8HP37P7ygiAeXpCE6DBg146qmnuOyyy4iJiSnwXNu2bQMSTEREAqDhBVCnPr++8jxO\n/GmYM+r4nUgkIDwVnO+++474+HjWrVt31HMqOCIiwcM4Ds5dA2HEg7hjnsB5eBQmJt7vWCJFzlPB\nGTJkSKBziIhIMTGVYogePJK0gXfgjn0K58GnMJFl/I4lUqRO+j441lpc183/JSIiwSeiZh2c2wbA\nj99jX38Ra63fkUSKlKcjOGlpabzyyit8++237N+/v8Bz06dPD0gwEREJLHN+C8x1vbCzpkK16pjO\n3f2OJFJkPB3BmTRpEuHh4Tz66KOULVuWp59+mqZNm3L77bcHOp+IiASQ6dgV06INds7/YVf91+84\nIkXGU8HZuHEjd911FzVr1sQYQ82aNbnrrrt4913d8ltEJJgZYzC39INaZ+G++hz2x81+RxIpEp4K\njuM4hIWFAVC+fHn27dtHmTJlSEtLC2g4EREJPBMRidNvMFSohDvmCWyGPtsl+HkqOHXq1OHLL78E\noFGjRowePZpnn32W2rVrBzSciIgUD1MpFqffv+BAJu64p7DZh/yOJFIongrOPffcQ/369QHo06cP\nDRo0oHr16vTv3z+g4UREpPiYGrVw/jYAtm7EThmjmVUS1DzNoipfvnz+15GRkXTt2jVggURExD+m\nyUWYLj2xyW/mzay66ia/I4mcEk8FJycnh//85z8sX76cX3/9lSlTpvDVV1+xc+dOOnbsGOiMIiJS\njEynG2HHNmzym9jTq2OaXOR3JJGT5ukU1ZQpU9i2bRv9+/fHGANA9erVWbBgQUDDiYhI8TPGYHrf\nDWfWw33lOexPW/yOJHLSPBWcL774gv79+1OvXr38ghMXF6dZVCIiIcpElsHpOxjKV8Qd+wR2b7rf\nkUROiqeCEx4eftSyDPv27aNixYoBCSUiIv4zMXE4/R6GzH15M6tysv2OJOKZp4LTokULxowZw+7d\nuwFIT0/nlVdeoWXLlgENJyIi/jJn1Mb56wDYsgE7VTOrJHh4Kjg9evSgSpUq/OMf/+DAgQP079+f\n2NhYbrzxxkDnExERn5kLWmKu7YH97BPsvLf9jiPiiadZVOHh4fTp04c+ffrkn5r67VocEREJfeaq\nbnkzq2a/gT09CXN+C78jiZzQCQtOSkrKMbenpqbmf52QkFC0iUREpMQxxkCf/tg9u3AnP4fz0NOY\n6mf6HUvkuE5YcPr16/enLzB9+vQiCyMiIiWXiSyD028w7pMP4I55AufhZzGVYv2OJXJMJyw4Z5xx\nBtnZ2bRu3ZpWrVoRFxdXXLlERKQEMjHxOHc/jPvMQNxxw3H+8SQmIsLvWCJHOeFFxs888wwDBgwg\nMzOTRx55hOHDh7N8+XIOHz6M4zg4jqdrlEVEJISYM+rg3HofbP4O+4ZmVknJ9KcNpUaNGvTq1Yux\nY8dy1VVXsWrVKu644w62bNGdLUVESivT9BLM1TdjP12EnT/L7zgiR/E0iwpg165dfPPNN2zatIkz\nzzyTChUqBDKXiIiUcObq7rBzG3bWVGzVJMz5F/odSSTfCQtOZmYmy5YtY/HixWRlZdGqVSuGDh2q\nmVMiInJkZtW9/5tZNfBpTFJNv2OJAH9ScP7+979TpUoVWrVqRb169YC8Izm7du3K36dBgwaBTSgi\nIiWWKVMGp9/DuE/+I29m1eBnMZVi/I4lcuKCExMTQ3Z2Nh999BEfffTRUc8bYxgzZkzAwomISMln\nYuPzSs7IQbjjR+AMGKaZVeK7ExacsWPHFlcOEREJYubMuphb78VOGon99zjo3V93vBdfeb7IWERE\n5EScZq1wd2zDvvsWVKuB6XCd35GkFNONbEREpMiYq7vDBS2x/3kdu3aF33GkFFPBERGRImMcB+fW\n+6F6LdyXn8X+/JPfkaSUUsEREZEi9dvMKsqUwx0zDPvrPr8jSSmkgiMiIkXOxCXg9BsMe9NxJwzH\nHs7xO5KUMio4IiISEObMepje98DGr7H/nqA1q6RYaRaViIgEjHNha9yd27DvzcibWXX5tX5HklJC\nR3BERCSgzDU9oHEL7MzXsOtW+R1HSgkVHBERCSjjODh/GwBJZ+C+PBK7QzOrJPB8LziZmZkMGzaM\n/v37M2zYMDIzM4+7r+u6/POf/2TEiBHFmFBERArLlCmLc/e/ICISd8wTmlklAed7wUlOTqZhw4a8\n+OKLNGzYkOTk5OPu+/7775OYmFiM6UREpKiYuMo4fQdDeiruhBGaWSUB5XvBWbFiBa1btwagdevW\nrFhx7Dtfpqamsnr1atq1a1ec8UREpAiZ2mcfmVm1Hvt/EzWzSgLG94Kzd+9eYmNjgbzVy/fu3XvM\n/V5//XV69uypxdtERIKc0+IyzJU3YJcuwH70jt9xJEQVyzTxYcOGkZGRcdT27t2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RAAAF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\nERFJOgo4IiIiknQUcERERCTp/A35f9lwSLJ2OQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['y'], stellarities['y'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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MhVMn8+/de3n4Ty9w02NPcuHUyfzulhs4Y/Qor8QlhBDi9KTmxoW27sjnzDGj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\n8hy/QG1tLXa7HYCysjJKS0uJj493JlT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['ymag_aperture20'], orig_hsc['ymag_aperture40'], stellarities['y'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 17 and 18.7." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for y band:\n", "Correction: -0.12488555908203125\n", "Number of source used: 19325\n", "RMS: 0.012975513965416236\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['y'], num, std = aperture_correction(\n", " orig_hsc['ymag_aperture20'], orig_hsc['ymag_aperture40'], \n", " stellarities['y'],\n", " mag_min=17, mag_max=18.7)\n", "print(\"Aperture correction for y band:\")\n", "print(\"Correction: {}\".format(mag_corr['y']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Stellarity\n", "\n", "HSC does not provide a 0 to 1 stellarity value but a 0/1 extended flag in each band. We are using the same method as UKIDSS ([cf this page](http://wsa.roe.ac.uk/www/gloss_p.html#dxssource_pstar)) to compute a stellarity based on the class in each band:\n", "\n", "\\begin{equation*}\n", "P(star) = \\frac{ \\prod_{i} P(star)_i }{ \\prod_{i} P(star)_i + \\prod_{i} P(galaxy)_i }\n", "\\end{equation*}\n", "\n", "where $i$ is the band, and with using the same probabilities as UKDISS:\n", "\n", "| HSC flag | UKIDSS flag | Meaning | P(star) | P(galaxy) | P(noise) | P(saturated) |\n", "|:--------:|:-----------:|:----------------|--------:|----------:|---------:|-------------:|\n", "| | -9 | Saturated | 0.0 | 0.0 | 5.0 | 95.0 |\n", "| | -3 | Probable galaxy | 25.0 | 70.0 | 5.0 | 0.0 |\n", "| | -2 | Probable star | 70.0 | 25.0 | 5.0 | 0.0 |\n", "| 0 | -1 | Star | 90.0 | 5.0 | 5.0 | 0.0 |\n", "| | 0 | Noise | 5.0 | 5.0 | 90.0 | 0.0 |\n", "| 1 | +1 | Galaxy | 5.0 | 90.0 | 5.0 | 0.0 |" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# We are creating an array containing the extended flag in all band.\n", "# Some sources have no flag in some band, there will be NaN in the array.\n", "hsc_ext_flag = np.array([\n", " orig_hsc[colname] for colname in \n", " ['gclassification_extendedness',\n", " 'rclassification_extendedness',\n", " 'iclassification_extendedness',\n", " 'zclassification_extendedness',\n", " 'yclassification_extendedness']\n", "])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true }, "outputs": [], "source": [ "hsc_pstar = 0.9 * (hsc_ext_flag == 0) + 0.05 * (hsc_ext_flag == 1)\n", "hsc_pgal = 0.05 * (hsc_ext_flag == 0) + 0.9 * (hsc_ext_flag == 1)\n", "\n", "# We put back the NaN values\n", "hsc_pstar[np.isnan(hsc_ext_flag)] = np.nan\n", "hsc_pgal[np.isnan(hsc_ext_flag)] = np.nan" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "stellarity = np.nanprod(hsc_pstar, axis=0) / np.nansum(\n", " [np.nanprod(hsc_pgal, axis=0), np.nanprod(hsc_pstar, axis=0)], axis=0)\n", "\n", "stellarity = np.round(stellarity, 3)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vis.hist(stellarity, bins='scott');" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "orig_hsc.add_column(Column(data=stellarity, name=\"stellarity\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Column selection" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "imported_columns = OrderedDict({\n", " \"object_id\": \"hsc_id\",\n", " \"ra\": \"hsc_ra\",\n", " \"dec\": \"hsc_dec\",\n", " \"gmag_aperture20\": \"m_ap_suprime_g\",\n", " \"gmag_aperture20_err\": \"merr_ap_suprime_g\",\n", " \"gmag_kron\": \"m_suprime_g\",\n", " \"gmag_kron_err\": \"merr_suprime_g\",\n", " \"rmag_aperture20\": \"m_ap_suprime_r\",\n", " \"rmag_aperture20_err\": \"merr_ap_suprime_r\",\n", " \"rmag_kron\": \"m_suprime_r\",\n", " \"rmag_kron_err\": \"merr_suprime_r\",\n", " \"imag_aperture20\": \"m_ap_suprime_i\",\n", " \"imag_aperture20_err\": \"merr_ap_suprime_i\",\n", " \"imag_kron\": \"m_suprime_i\",\n", " \"imag_kron_err\": \"merr_suprime_i\",\n", " \"zmag_aperture20\": \"m_ap_suprime_z\",\n", " \"zmag_aperture20_err\": \"merr_ap_suprime_z\",\n", " \"zmag_kron\": \"m_suprime_z\",\n", " \"zmag_kron_err\": \"merr_suprime_z\",\n", " \"ymag_aperture20\": \"m_ap_suprime_y\",\n", " \"ymag_aperture20_err\": \"merr_ap_suprime_y\",\n", " \"ymag_kron\": \"m_suprime_y\",\n", " \"ymag_kron_err\": \"merr_suprime_y\",\n", " \"stellarity\": \"hsc_stellarity\"\n", " })\n", "\n", "\n", "catalogue = orig_hsc[list(imported_columns)]\n", "for column in imported_columns:\n", " catalogue[column].name = imported_columns[column]\n", "\n", "epoch = 2017\n", "\n", "# Clean table metadata\n", "catalogue.meta = None" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Aperture correction\n", "for band in bands:\n", " catalogue[\"m_ap_suprime_{}\".format(band)] += mag_corr[band]" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Adding flux and band-flag columns\n", "for col in catalogue.colnames:\n", " if col.startswith('m_'):\n", " \n", " errcol = \"merr{}\".format(col[1:])\n", " \n", " #Some inf and 99. mags\n", " mask = (catalogue[col] > 90.) | (catalogue[errcol] > 90.)\n", " catalogue[col][mask] = np.nan\n", " catalogue[errcol][mask] = np.nan\n", " \n", " flux, error = mag_to_flux(np.array(catalogue[col]), np.array(catalogue[errcol]))\n", " \n", " # Fluxes are added in µJy\n", " catalogue.add_column(Column(flux * 1.e6, name=\"f{}\".format(col[1:])))\n", " catalogue.add_column(Column(error * 1.e6, name=\"f{}\".format(errcol[1:])))\n", " \n", " # Band-flag column\n", " if 'ap' not in col:\n", " catalogue.add_column(Column(np.zeros(len(catalogue), dtype=bool), name=\"flag{}\".format(col[1:])))\n", " \n", "# TODO: Set to True the flag columns for fluxes that should not be used for SED fitting." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<Table masked=True length=10>\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
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\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "catalogue[:10].show_in_notebook()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## III - Removal of duplicated sources" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We remove duplicated objects from the input catalogues." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "The initial catalogue had 5500445 sources.\n", "The cleaned catalogue has 5500272 sources (173 removed).\n", "The cleaned catalogue has 173 sources flagged as having been cleaned\n" ] } ], "source": [ "SORT_COLS = [\n", " 'merr_ap_suprime_i', 'merr_ap_suprime_r', 'merr_ap_suprime_z',\n", " 'merr_ap_suprime_y', 'merr_ap_suprime_g']\n", "FLAG_NAME = 'hsc_flag_cleaned'\n", "\n", "nb_orig_sources = len(catalogue)\n", "\n", "catalogue = remove_duplicates(\n", " catalogue, RA_COL, DEC_COL, \n", " sort_col= SORT_COLS,\n", " flag_name=FLAG_NAME)\n", "\n", "nb_sources = len(catalogue)\n", "\n", "print(\"The initial catalogue had {} sources.\".format(nb_orig_sources))\n", "print(\"The cleaned catalogue has {} sources ({} removed).\".format(nb_sources, nb_orig_sources - nb_sources))\n", "print(\"The cleaned catalogue has {} sources flagged as having been cleaned\".format(np.sum(catalogue[FLAG_NAME])))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## III - Astrometry correction\n", "\n", "We match the astrometry to the Gaia one. We limit the Gaia catalogue to sources with a g band flux between the 30th and the 70th percentile. Some quick tests show that this give the lower dispersion in the results." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_GAMA-09.fits\")\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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An332GTRNw9ixY6OWjxs3Drt27Wq2/eWXX46FCxdGLSsrK0O/fv1SNiai55CM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cV/yaWasNoT9ylyq6i+OXp5lVtgz1xKiF/kNDeloRr2xx1H5L6wtdDfiK4DbW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\noqEGSegw2wzULfyAqkZ7y4UQX5n0T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6tbdDiihzOuXUEl9r1tBamC08Gg8tPZZsJJrTNZ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m0DxXes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\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JvI+BN/GGT2dLyS2iCVsxSDhWvA03JG347SHxGAu5eJaSIFly8fz2VTlHQ+scF6EQ13bN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\nNiVibx3Zn0ZWGwIKowwEolqHv1FHDNOqOyD0sJ1BdWe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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n", " gaia_coords.ra, gaia_coords.dec)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RA correction: -0.04088912146471557 arcsec\n", "Dec correction: -0.048413513806411235 arcsec\n" ] } ], "source": [ "delta_ra, delta_dec = astrometric_correction(\n", " SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]),\n", " gaia_coords\n", ")\n", "\n", "print(\"RA correction: {}\".format(delta_ra))\n", "print(\"Dec correction: {}\".format(delta_dec))" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue[RA_COL] += delta_ra.to(u.deg)\n", "catalogue[DEC_COL] += delta_dec.to(u.deg)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZturytV7XWbrS3DPpDUGNOTqC6A3EZJn94he/wHXXXYcLL7wQQ4cORUZGBhob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e5wrr/gBkCeY4C2/oiy/gi3cWCLUNREGa0qDwrslloixYJbkE0zaAz+qDgjy9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DRZZt0ZEz5mXF4t1XFZLWSrqQzJ0QfIHZxXHA3uoyN/XuErIZ4zacssNDz7ilUy826P2znaLpGk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EATatslCuG1Lb4deV/EdfgwuSiO7V0bn+ImRyGBV0lTLmkbw0ttoIr3LNr++02ecM44JfF+7M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yLuVhoz9GhEchwwgdddIuMstKWWS12qa722maDS/D5uVhpZdGfMYiDJFCiZpE7dOzHEfYaQ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uxznKfmdwYyVoTlBqUlCkDbBEvHMUcThv8pk6lXUBVDTHVYu+2ro+zasUzsiM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EAeBwg91/EjL3xkjYWikXkd+DjWnMf3/KG+0I+B+67hf+4blvkH1urCu6rDjQNvJqGrX5PCTJng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\niep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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n", " gaia_coords.ra, gaia_coords.dec)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## IV - Flagging Gaia objects" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.add_column(\n", " gaia_flag_column(SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]), epoch, gaia)\n", ")" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "55457 sources flagged.\n" ] } ], "source": [ "GAIA_FLAG_NAME = \"hsc_flag_gaia\"\n", "\n", "catalogue['flag_gaia'].name = GAIA_FLAG_NAME\n", "print(\"{} sources flagged.\".format(np.sum(catalogue[GAIA_FLAG_NAME] > 0)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## V - Flagging objects near bright stars" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# VI - Saving to disk" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.write(\"{}/HSC-SSP.fits\".format(OUT_DIR), overwrite=True)" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python (herschelhelp_internal)", "language": "python", "name": "helpint" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }