{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# CDFS SWIRE master catalogue\n", "## Preparation of DES data\n", "\n", "Blanco DES catalogue: the catalogue comes from `dmu0_DES`.\n", "\n", "In the catalogue, we keep:\n", "\n", "- The identifier (it's unique in the catalogue);\n", "- The position;\n", "- The G band stellarity;\n", "- The magnitude for each band.\n", "- The auto/kron magnitudes/fluxes to be used as total magnitude.\n", "- The aperture magnitudes, which are used to compute a corrected 2 arcsec aperture magnitude.\n", "\n", "We don't know when the maps have been observed. We will take the final observation date as 2017." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This notebook was run with herschelhelp_internal version: \n", "0246c5d (Thu Jan 25 17:01:47 2018 +0000) [with local modifications]\n", "This notebook was executed on: \n", "2018-02-21 19:05:21.709271\n" ] } ], "source": [ "from herschelhelp_internal import git_version\n", "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))\n", "import datetime\n", "print(\"This notebook was executed on: \\n{}\".format(datetime.datetime.now()))" ] }, { "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", "\n", "from collections import OrderedDict\n", "import os\n", "\n", "from astropy import units as u\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, remove_duplicates, \\\n", " nb_plot_mag_ap_evol, nb_plot_mag_vs_apcor \n", "from herschelhelp_internal.utils import astrometric_correction, mag_to_flux, flux_to_mag, 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 = \"des_ra\"\n", "DEC_COL = \"des_dec\"" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Pristine HSC catalogue\n", "orig_des = Table.read(\"../../dmu0/dmu0_DES/data/DES-DR1_CDFS-SWIRE.fits\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1 - 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", "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": { "collapsed": true }, "outputs": [], "source": [ "bands = [\"g\", \"r\", \"i\", \"z\", \"y\"]\n", "apertures = [\"1\", \"2\", \"3\", \"4\", \"5\", \"6\", \"7\", \"8\", \"9\", \"10\", \"11\"] #Removed \"40\" and \"235\" because they lack errors\n", "\n", "magnitudes = {}\n", "stellarities = {}\n", "\n", "for band in bands:\n", " magnitudes[band] = np.array(\n", " [orig_des[\"MAG_APER_{}_{}\".format(aperture, band.upper())] for aperture in apertures]\n", " )\n", "\n", " stellarities[band] = np.array(orig_des[\"CLASS_STAR_{}\".format(band.upper())])\n", " \n", " # Some sources have an infinite magnitude\n", " mask = np.isclose(magnitudes[band], 99.)\n", " magnitudes[band][mask] = np.nan\n", "\n", " \n", "mag_corr = {}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.a - g band" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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am4tiEQpdY2aqqijV3HW7tD8Q9DoOAACeiqbUrDgwu7Bz7gfOuQcVflQCPFRVUaqWtpBe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\nfSkivtPRG0fEOd3M9hzFIxkOmZLca6u9JcASgLq6Oi8572G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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_ap_evol(magnitudes['g'], stellarities['g'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 10 as target." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_G'], orig_des['MAG_APER_10_G'], stellarities['g'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "We will use magnitudes between 15.0 and 16.0" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for g band:\n", "Correction: -0.40595245361328125\n", "Number of source used: 1048\n", "RMS: 0.0773379441038148\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['g'], num, std = aperture_correction(\n", " orig_des['MAG_APER_4_G'], orig_des['MAG_APER_10_G'], \n", " stellarities['g'],\n", " mag_min=15.0, mag_max=16.0)\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": [ { "data": { "image/png": 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Tf9Z4HQcA0M9RauCpitKg/uWk0br3pff02prtXscBAPRjlBp47tvnHK3Rg7N1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\nmQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_ap_evol(magnitudes['r'], stellarities['r'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 10 as target." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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1vrfw3vcTS6/SHbOG2hMILjuYNDCHzAiuexCuTRGrq7bz119fTEFRMb/6880a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\n1F3yM5MZWajAIhINammRuOD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_R'], orig_des['MAG_APER_10_R'], stellarities['r'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 15.0 and 16.0." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for r band:\n", "Correction: -0.34665727615356445\n", "Number of source used: 601\n", "RMS: 0.06991605935786925\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['r'], num, std = aperture_correction(\n", " orig_des['MAG_APER_4_R'], orig_des['MAG_APER_10_R'], \n", " stellarities['r'],\n", " mag_min=15.0, mag_max=16.0)\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.b - i band" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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oCcrN9Cs3K3BYefL3KVqx/WLlKVXKEqUGAJDyzGKXmlLkL89U4WJn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\nuVy+wBtnjGXcqKFZRzEzMxsQFzV17MjxdtZs2eOhJzMzqwk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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 10 as target." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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XAq9Ya28xxlyZuv/dnfaJAZdba5cYYwqBxcaYP1trl6e232WtvT3NOmQMNbSFFGbGkXAs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\nJh84Dlg51OMlc5z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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_I'], orig_des['MAG_APER_10_I'], stellarities['i'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 15.0 and 16.0." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for i band:\n", "Correction: -0.2888193130493164\n", "Number of source used: 392\n", "RMS: 0.08284547063194449\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['i'], num, std = aperture_correction(\n", " orig_des['MAG_APER_4_I'], orig_des['MAG_APER_10_I'], \n", " stellarities['i'],\n", " mag_min=15.0, mag_max=16.0)\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.b - z band" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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RETkhNtQTqM0sn8SU0nXAbBIjKXf3TSeNFrW1td7Y2Hj8hnKMp9e08Bd3Psf7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\nJEltySFHkiS1JYccSZLUlv4XveZfoJpq7cUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_ap_evol(magnitudes['z'], stellarities['z'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 57 as target." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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9XqVh+3e7XDz90F288fyTDBhyJLc99B9S0zMNqyccVFdWUJi/m9ze/YK+r0D8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\npcXKnCVCiIjXacMJwGmnnca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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_Z'], orig_des['MAG_APER_10_Z'], stellarities['z'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 15. and 16." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for z band:\n", "Correction: -0.24968433380126953\n", "Number of source used: 879\n", "RMS: 0.054259308128121096\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['z'], num, std = aperture_correction(\n", " orig_des['MAG_APER_4_Z'], orig_des['MAG_APER_10_Z'], \n", " stellarities['z'],\n", " mag_min=15.0, mag_max=16.0)\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.b - y band" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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vUr/5++X65+tO14Y9rbr664364oMvqL2bKSkAyEWEGkxooWBAf3vRPP3pU5fq\nTefO0p2NO3T5bY/o/mf2MSUFADmGUIOsUF1aoP/35iX65Ycu1pSyQt187zO6fuUTevFgm9+lAQDG\nCaEGWeWcOZP1qw9fon9/w5l68eU2XXP7Kt3660061tXrd2kAAI8RapB1ggHT2y+Yoz9/8lJdf/5s\nff8vu/Tqrzyin63fy+nfAJDFCDXIWpNL8vVvbzhTv/7Ics2uLNanfrpBb7nzcW3cd9Tv0gAAHiDU\nIOudMbNCP/+7i/XlNy/RruYOvf6O1frHX21Ua2eP36UBANKIUIOcEAiY3rJ0tv70qUv1txfN04/W\n7Narb3tU9659iSkpAMgShBrklIqiPN3y+tP124/Wa2G4VJ/5xXN6w38+pg17Wv0uDQAwRoQa5KRX\nTS/XTz5wob7+trO1/2iX/vo/H9Nnfv6sWjqYkgKAiYpQg5xlZvrrc2bqT59cofctn6+frd+ry77y\niP778V2KMiUFABMOoQY5r6wwT5+79jT97uZ6nT6jXP94/ya97purtX53i9+lAQBSQKgBEmqnlulH\n77tA33r7uTrS2aM3/dfj+sR9z+hQW5ffpQEAkkCoAQYwM127ZLr++MkV+tClNfr1hv26/CuP6u7V\nOxWJxvwuDwBwCoQaYAjF+SH9w9WL9YePNeicuZP1L795XtfevlpP7Djsd2kAgGEQaoBTWBAu1Q/e\nfb5WvvM8dfREdP3KJ/TRe57WwaNMSQFApiHUACMwM111+jQ9/IkVuvnyWv1+00FdftsjuvPR7eqJ\nMCUFAJmCUAMkqTAvqI9fWaeHP75CF9VU64u/26yrv9GoVVub/C4NACBCDZCyOVXFuuvGpfreu85X\nNOb0zrvX6oP/s177Wo/7XRoA5LSQ3wUAE9Vli6foopoq3bVqh+748zb9+cVD+tClC/XuS+aprDDP\n7/IAIOeYc9l359SlS5e6devW+V0Gcsi+1uP61988r99tPKiygpD+5sK5es8l8zSlvNDv0gBgwjOz\n9c65pSP2I9QA6bNhT6tWNu7Q7zYeUCgQ0BvOman3NyzQwimlfpcGABMWoYZQAx/tau7QXat36Kfr\n9qo7EtOVp03V361YoPPmVvpdGgBMOIQaQg0yQHN7t374+G798PFdau3s1dK5k/WBFTW6fPEUBQLm\nd3kAMCEQagg1yCCdPRHd9+QefWfVTu1rPa6acIk+0FCj686ZoYJQ0O/yACCjEWoINchAkWhMv33u\ngO58dIeQA8iUAAAgAElEQVSeP3BMU8oK9J7l8/X2C+aonB1TADAkQg2hBhnMOafV25p156M7tHpb\ns0oLQnr7BXP0nkvma1oFO6YAYCBCDaEGE8TGfUd1Z+MO/fbZ/QoGTNedPVMfaFig2qllfpcGABmB\nUEOowQSzp6VTd6/eqXuffEldvTFdvniKPrCiRufPmywzFhUDyF2EGkINJqiWjh799+O79YPHd6ml\no0fnzJmkDzTU6MrTpirIjikAOYhQQ6jBBHe8J6qfrd+jlat2aE/LcS2oLtH7GxboDefMVGEeO6YA\n5A5CDaEGWSISjen3mw7qzkd36Ll9R1VdWqB3XzJP77hgriqK2TEFIPsRagg1yDLOOT2+/bC+3bhD\njVuaVJIf1A3L5ug9y+drxqQiv8sDAM8Qagg1yGLP7z+mlY3b9etnD8gkvf6sGbppxQItnlbud2kA\nkHaEGkINcsDeI4kdU2v36HhvVJcuCusDDTW6cEElO6YAZA1CDaEGOaS1s0f/88Rufe+xXTrc0aOz\nZlXoAytq9FenT2PHFIAJj1BDqEEO6uqN6udP7dV3Gndo1+FOza0q1vvrF+jN581ixxSACYtQQ6hB\nDovGnP5300F9+9Ht2rD3qKpK8vWui+fpnRfN1aTifL/LA4CUEGoINYCcc1qzs0V3Prpdf36xScX5\nQb3t/Nl67/L5mjW52O/yACAphBpCDXCSzQePaWXjDj3wzH45Sa9bMl03NdTotBnsmAKQ2Qg1hBpg\nSPtbj+t7j+3Uj9e8pI6eqBrqwnrLebP0qunlmldVrFAw4HeJAHASQg2hBjilo8d79aM1u/Xd1bvU\n3N4tScoPBVQ7pVSLppXpVdPKtWhamRZPK1O4rIAt4gB8Q6gh1ABJ6YnEtOXlNm0+2KYXDx5LPLfp\nUFt3f5/JxXmJgFOuxdPKtGhameqmlqmkIORj5QByRbKhhj+RgByXHwrojJkVOmNmxUntLR092nzw\nmF5MhJzNB9t037o96uyJ9veZU1msxYnRnEWJkR2msAD4hVADYEiVJfm6uKZaF9dU97fFYk57jnT2\nj+bEw84xPfzCy4olBn3zQwHVTS3VoqknRnUWTy9TuJQpLADeYvoJwJh19Ua17VD7SVNYmw+2qWnA\nFFZlSb4WTS3rX6ezeHq56qaWqjiff1sBODWmnwCMm8K8YFJTWC8cbNNPnoyfUyVJZvEprEVTTwSd\n+BRWCcc7AEgZoQaAZ5KZwtqcGNkZOIVVEAqoNjGF9arp8dGdRdOYwgJwap5PP5nZdyW9VtIh59wZ\nibafSFqU6DJJUqtz7uwhPrtLUpukqKRIMkNPEtNPwEQ0cApr84FjevHl4aewFk+Pj+xMryhSVWm+\nwqUFmlySrzwWKANZKZOmn74v6Q5JP+xrcM69re/azG6TdPQUn7/MOdfsWXUAMsJIU1ibDyRGdl5u\n071rT0xhDTS5OE9VpQWqLs1XdWlB4pGfaCvoD0DVpQUqyueATyDbeB5qnHONZjZvqPcsPo78Vkmv\n9roOABPTcFNYe48c18ttXTrc3q2m9h4dbu9Wc3u3Drf3qLm9W5v2H1Nze7fauiJDfm9xfrA/6FQP\nCEJVJfmqLis4qa2iKI9pL2AC8HtNTb2kl51zW4d530l62Myiku50zq0cv9IAZKpAwDSnqlhzqkY+\nlLOrN6qWjp7+wNM0IPj0te1p6dTTL7WqpaO7f13PQKGAqao0X1UlBfHA0x98TrRVleQrXFagSqbB\nAN/4HWpukHTPKd5f7pzbZ2ZTJD1kZpudc41DdTSzmyTdJElz5sxJf6UAJqTCvKBmTCrSjElFI/aN\nxpxaO3vUnBj5aWrv7r8eOAq0/VC7mtu71R2JDfk9k4rzTh71KUmMApXGQ095YUilhSGVFpx4LsoL\nMhoEjJFvocbMQpLeKOm84fo45/Ylng+Z2S8lLZM0ZKhJjOKslOILhdNeMICsFwyYqhLhQyo7ZV/n\nnNq7IwNGfXpOCj6HO7rV3NajFxLTYMeGmQbrEzCptCCkssK8k8JOaWFIpfknXpcNCkNlhSGVFCSu\nC/JUUhDkjs7IWX6O1FwhabNzbu9Qb5pZiaSAc64tcX2VpH8ezwIBYDhmprLCPJUV5mledcmI/bsj\n8Wmww+09au+OqKM7ovbuiNq64s/tXQNf96qjO6rW473ae6Sz//2Onlcujh5KUV5QpYUhlRWcCDx9\nrweGpVe+n3dSWCoIBRg9woTieagxs3skXSqp2sz2Svon59zdkq7XoKknM5sh6S7n3DWSpkr6ZeI/\nqJCkHzvnfu91vQDghYJQUNMrijS9YuRpsOFEY04dPScC0MAw1N4VUVv/697E+1G1d8Wv97R0nvSZ\nyFCLhwYJBaw/9BTnB1WQF1BBKKiCUCDx6Gsb0D64T17wFe/nBwe2D7oOBZUXNMIURoVjEgAgxzjn\n1B2JDTFClAhEAwJSR+K9471RdUdi6o5E1d0bO3Ediam7N6aeaEzdiT7JBKZTMdOpg9IQYSp/mPa8\noCkUDCgUMOUFAwoFTaFAvL3vdd4w74eCAeUFEp8PmvICfe8TusZbJt2nBgCQQcxMhXlBFebFt7Wn\nWyTaF3JeGX76r4cJR92RqHoife3D9zvS0XOiT3/givfpjXr/j/VQwE4OOsMFoET7yAHqxHV+KKDS\ngjyVFYYGPPL6pwX7pgk5SuSVCDUAgLSK/8UeUHG+P78fjblEMIoHnEgspkjUqTcaH0Xqjcbi7X3P\nQ7wfSbT39Yu3Jz4TG9j2yr7970fdSdddkehJvzPc73dHYoomMdpVnB/sXzgeX991cujpe6+88OTX\nA/tm2647Qg0AIKsEA6ai/OCEvWu0c05dvTG1dffGpwW74lOAbV29auubKky87ps6jLf36uDRrv6+\nySwsDwbspF11pwpAA18P7psp92Yi1AAAkEHMToSyKae+s8ApRWOuf3F4W1fviXCUeD0wHA0MS4fa\nurSjqS9IRdQTHfp+TAMVhAK66vRp+uYN54y+4DQg1AAAkIWCAVNFUZ4qivIkjX7XXXckevKIUXfv\nkKNFydzawGuEGgAAMKyCUFAFpd4sKk+3zJgEAwAAGCNCDQAAyAqEGgAAkBUINQAAICsQagAAQFYg\n1AAAgKxAqAEAAFmBUAMAALICoQYAAGQFQg0AAMgKhBoAAJAVCDUAACArEGoAAEBWyMpTunft2qWl\nS5f6XQYAAEiPc5PplJWhZt68eVq3bp3fZQAAgDQws6eS6cf0EwAAyAqEGgAAkBUINQAAICsQagAA\nQFYg1AAAgKxAqAEAAFmBUAMAALKCr6HGzK42sxfNbJuZfWaI983Mbk+8/6yZJXXzHQAAkHt8CzVm\nFpT0LUmvkXSapBvM7LRB3V4jqTbxuEnSf41rkQAAYMLwc6RmmaRtzrkdzrkeSfdKum5Qn+sk/dDF\nPSFpkplNH+9CAQBA5vMz1MyUtGfA672JtlT7AAAAZM/ZT2Z2k+JTVKqqqtItt9zib0EAACTEnFM0\nduIx+HXUDXxPMkmyxLMkS7zof20n2vuuh2vvf9uGbrdEwyt+c4j2wXX0/abJFAyY8kP+7j8y55w/\nP2x2kaRbnHN/lXj9WUlyzn1xQJ87JT3inLsn8fpFSZc65w6c6ruXLl3qONASAHJPJBpTdySmrt6o\nuiMx9URi6k209Ub7Xjv1RKPqicTUE3X9fQb2HdzWE42pJ+ISz9H4d0T62k/07YnG1DugvSca/71o\nzJ+/a8fT5Yun6O53ne/Jd5vZeufc0pH6+TlS86SkWjObL2mfpOslvX1QnwckfcTM7pV0gaSjIwUa\nAIB/YjGn7khM3ZF4qOjuHXAdiaq7N6auxPPw/WLq7h1wHYmqq/fE50/1uXSGh1Bi5CEvGFB+KKD8\nAc95Iet/XVYYUsGAfkP273/PVBA6ud/g/sFAfBzEOSfnJCfFn52TU3zURwPbFR/d6XtfiTbndFK7\nS7wZbzvRx530W4nnRPuJ33IntfVda8B3z5xUlLb/70fLt1DjnIuY2Uck/UFSUNJ3nXObzOzvEu9/\nW9KDkq6RtE1Sp6R3+1UvAGQb55yO90Z19Hhv/NEZf2493qtjfW2JR0d39BWho2fAiEhf0OiNji1U\nmEmFoaAK8gIqCAVUEArGn/NOXJcX5SXeS7QN0zc/0ecVIaOvLRhQfsiUHwyeFFL63gsEbOSCkVF8\nXVPjnHtQ8eAysO3bA66dpA+Pd10AMJF0DQwmx3vV2nlyIDnW394zoD2iY8d71RONDfu9AZPKi/JU\nUZSn4vyQChPhYXJxngpCBUMGjlOFjL4gUpgXfEVbQV78OhSw/rUcQKqyZqEwAExk3ZHooABycjAZ\nOJJyUoA53queyPDBxEwqKwipojgeTiqK8jS9oqg/rFQU5WnSgPf6H8V5Ks0PMVqBCYVQAwAe6o5E\ntau5U9ub2rXtULteaulUa+fJ0zutx3vU1Tt8MJHiwWRgEKkJl/aHkfJThJOywrz+NRpAtiPUAEAa\nHOvq1bZD8eCyvald2w+1a3tTh15q6Txp8erU8gJNLs5XRVGe5lYVvyKMlBflaVLi/f62wpBCQY7q\nA0ZCqAGAJDnn9PKx7kR4adP2po74dVO7mtq6+/vlBU3zq0v0qulleu2S6Vo4pVQ14VItCJeoOJ8/\ndgGv8F8XAAzSG41p9+ETU0bb+0ZfmjrU3h3p71dWEFLNlFKtqAurJlyqhVPij9mTixhZAXxAqAGQ\nszq6IyeCS/9zh3Y1dygyYMpoWnmhaqaU6E3nzuwfdVk4pVThsgJ26gAZhFADIKs559TU3q3thzq0\nrenEqMu2Q+06cLSrv18wYJpbVayacKmuPG2qFoZLVTOlVDXhEpUV5vn4vwBAsgg1ALJCNOa0p+XE\nlNHA0ZdjXSemjIrzg6oJl+rCBVWqCZf0TxnNqSzx/dwaAGNDqAEw4URjTn984WVt3H+sf+RlR3PH\nSfdrqS4tUE24RK87a8ZJU0bTygu59wqQpQg1ACaMWMzpN88d0Ncf3qIdTR0KmDS7slgLw6VqqAsn\npoxKEvdwyfe7XADjjFADIOPFYk5/2HRQX3t4i7a83K5FU8v0X39zri5bPEWFeUG/ywOQIQg1ADKW\nc04Pv3BIX3toi54/cEw14RJ984ZzdO2Z05lCAvAKhBoAGcc5p0e2NOlrD23Rs3uPam5Vsb761rN0\n3dkzueU/gGERagBkDOec/rL9sG773xf11EutmjW5SF960xK98dyZ3MwOwIgINQAywpodh3XbQ1u0\ndmeLplcU6t/ecIbect5stlkDSBqhBoCv1u8+oq89tEWrtzVrSlmBbn396bp+2WwVhFgADCA1hBoA\nvtiwp1Vfe3iLHnmxSdWl+fr8ta/SOy6cy24mAKNGqAEwrjbtP6qvPbRVD7/wsiYV5+n/XL1YN148\nl9OrAYwZf4oAGBdbXm7T1x7aot9tPKjywpA+eWWd3nXJPM5VApA2hBoAntre1K6vP7xVv3l2v0ry\nQ/ro5bV67/L5qigizABIL0INAE/sau7Q7X/aql89vU+FeUF9cEWNbmpYwPEFADxDqAGQVntaOnXH\nn7bpZ0/tVShgeu/y+frAihpVlxb4XRqALEeoAZAWB44e1x1/2qb71u2RmemdF87Vhy6t0ZTyQr9L\nA5AjCDUAxuTQsS795yPb9eM1L8nJ6W3nz9aHL1uo6RVFfpcGIMcQagCMSnN7t779yHb99xO7FYk5\nveW8WfrIqxdq1uRiv0sDkKMINQBScqSjRytX7dAP/rJLXb1RveGcWfro5Qs1t6rE79IA5DhCDYCk\nHD3eq7tX7dB3H9uljp6IXrdkhm6+olY14VK/SwMASYQaACNo6+rV9x7bpe+s2qG2roiuOXOaPnZF\nneqmlvldGgCchFADYEgd3RH94PFdWtm4Q62dvbrytKn6+BV1Om1Gud+lAcCQCDUATnK8J6ofrdmt\n/3pkuw539OiyRWF94spFOnNWhd+lAcApEWoASJK6eqO6d+1L+tYj29XU1q362mp97Io6nTd3st+l\nAUBSCDVAjuuJxHTfuj361p+36cDRLl0wv1J33HCOLlhQ5XdpAJASQg2QY7p6o3p271Gt3XlYa3a2\n6KndR9TRE9V5cyfrtrecpYtqqmRmfpcJACkj1ABZrqM7oqdeOqK1O1u0ZmeLntnTqp5ITJK0aGqZ\n3njuLF11+lQtX1hNmAEwoRFqgCxztLNXT+5q0dpd8RCzcd9RRWNOwYDpjBnluvGiuVo2v0pL507W\n5BJOzAaQPQg1wAR3qK1LT+480j+d9OLLbXJOyg8GdPbsSfrgihotm1+pc+dOVmkB/8kDyF78CQdM\nMHuPdGrtzpb+x47mDklScX5Q582drGvPnK5l8yt11uxJKswL+lwtAIwfQg2QwZxz2tHccVKI2dd6\nXJJUXhjSsvmVun7ZbC2bX6XTZ5QrLxjwuWIA8A+hBsggsZjT5oNtWrvzsNbuioeY5vYeSVJ1aYEu\nmF+pmxoWaNn8Si2aWqZAgIW9ANCHUAP4qDca08Z9R/tHYZ7c1aJjXRFJ0sxJRWqoDWvZ/Eotm1+p\n+dUl7E4CgFMg1ADjqKs3qmf2tPaHmPW7j+h4b1SStCBcomuXxNfDnD+vUrMmF/tcLQBMLIQawEPt\n3RGt3x3fmbR2Z4s27DmqnmhMZtLiaeV62/mz+0NMuKzA73IBYELzJdSYWaWkn0iaJ2mXpLc6544M\n6jNb0g8lTZXkJK10zn1jfCsFUnOkoyd+j5id8fvEbNx3VDEnBQOmM2dW6N2XzNOy+ZVaOrdSFcV5\nfpcLAFnFr5Gaz0j6o3PuP8zsM4nX/2dQn4ikTzrnnjKzMknrzewh59zz410skIyfr9+rT/9sg2JO\nyg8FdM7sSfrIZQu1bH6VzpkzSSXcIwYAPOXXn7LXSbo0cf0DSY9oUKhxzh2QdCBx3WZmL0iaKYlQ\ng4yzo6ldn//VRi2dW6lPX71IS2ZVqCDEPWIAYDz5FWqmJkKLJB1UfIppWGY2T9I5ktZ4WxaQup5I\nTDff+4wK8gK6/YZzNK2i0O+SACAneRZqzOxhSdOGeOtzA18455yZuVN8T6mkn0v6mHPu2Cn63STp\nJkmaM2fOqGoGRuOrD23Rc/uO6tvvOI9AAwA+8izUOOeuGO49M3vZzKY75w6Y2XRJh4bpl6d4oPmR\nc+4XI/zeSkkrJWnp0qXDhiQgnf6yvVl3Nm7XDctm6+ozhsrwAIDx4tc91R+QdGPi+kZJ9w/uYPG7\njN0t6QXn3FfHsTYgKUc6evSJn2zQ/OoS/eNrT/O7HADIeX6Fmv+QdKWZbZV0ReK1zGyGmT2Y6HOJ\npHdKerWZPZN4XONPucDJnHP67C+e0+GObt1+/TkqzmdnEwD4zZc/iZ1zhyVdPkT7fknXJK5XS+Ke\n8MhIP3lyj36/6aA++5rFOmNmhd/lAADk30gNMGHtaGrXrb9+XpcsrNL76xf4XQ4AIIFQA6Rg4Pbt\n295yNqdkA0AGYSEAkAK2bwNA5mKkBkgS27cBILMRaoAksH0bADIfoQYYAdu3AWBiINQAI+jbvv2p\nqxaxfRsAMhihBjgFtm8DwMRBqAGGwfZtAJhYWBwADIPt2wAwsTBSAwyB7dsAMPGMKtSY2VPpLgTI\nFGzfBoCJaVShxjl3broLATIB27cBYOJK6k9sM5smaZkkJ+lJ59xBT6sCfMLp2wAwcY04UmNm75O0\nVtIbJb1Z0hNm9h6vCwPGG9u3AWBiS2ak5tOSznHOHZYkM6uS9BdJ3/WyMGA8sX0bACa+ZELNYUlt\nA163JdqArMH2bQCY+JIJNdskrTGz+xVfU3OdpGfN7BOS5Jz7qof1AZ5j+zYAZIdkQs32xKPP/Ynn\nsvSXA4wvtm8DQPYYMdQ4524dj0KA8TZw+/ZdN17C9m0AmOBG/FPczMKS/kHS6ZL6Fxs4517tYV2A\n59i+DQDZJZmb7/1I0mZJ8yXdKmmXpCc9rAnwHNu3ASD7JBNqqpxzd0vqdc496px7jyRGaTBhsX0b\nALJTMosIehPPB8zsWkn7JVV6VxLgLbZvA0B2SibU/KuZVUj6pKRvSiqX9HFPqwI8wvZtAMheyex+\n+k3i8qiky7wtB/AO27cBILuN6pRuYKLh9G0AyH6EGuSEvu3bn7pqEdu3ASBLEWqQ9di+DQC5YVSh\nxszOTXchgBfYvg0AuWO0IzUfTGsVgEf6tm//xxuXsH0bALLcqEKNc+796S4ESDe2bwNAbhkx1JjZ\nr83s7WZWMh4FAenA9m0AyD3JjNR8RdJySc+b2c/M7M1mxjg+MhbbtwEgN40YahLnPX1I0gJJd0p6\nq6RDXhcGjBbbtwEgNyX1T1gzK5L0Oklvk3SupB94WRQwWmzfBoDcNWKoMbP7JC2T9HtJd0h61DkX\n87owIFVs3waA3JbMSM3dkm5wzkW9LgYYC07fBoDclsxC4VWSPmtmKyXJzGrN7LXelgWkhu3bAIBk\nQs33JPVIujjxep+kf/WsIiBFbN8GAEjJhZoa59yXJPVKknOuUxKLFZAR2L4NAOiTTKjpSex+cpJk\nZjWSuj2tCkgS27cBAH2S+WftPym+82m2mf1I0iWS3uVlUUAy2L4NABjolKHGzEzSZklvlHSh4tNO\nNzvnmsfyo2ZWKeknkuZJ2iXprc65I8P0DUpaJ2mfc44FypDE9m0AwCudcvrJOeckPeicO+yc+61z\n7jdjDTQJn5H0R+dcraQ/Jl4P52ZJL6ThN5FFOH0bADBYMmtqnjKz89P8u9fpxF2JfyDpr4fqZGaz\nJF0r6a40/z4mMLZvAwCGksyamgsk/Y2Z7ZbUofgUlHPOLRnD7051zh1IXB+UNHWYfl+X9A+Sysbw\nW8gibN8GAAwnmVDzV6P5YjN7WNJQ/4z+3MAXzjlnZm6Iz79W0iHn3HozuzSJ37tJ0k2SNGfOnNGU\njAw3cPv2XTdewvZtAMBJRvxbwTm328zOlbRc8W3djznnnkric1cM956ZvWxm051zB8xsuoY+9fsS\nSa83s2skFUoqN7P/cc69Y5jfWylppSQtXbr0FSEJE1/f9u3PvmYx27cBAK8w4poaM/uC4uteqiRV\nS/qemX1+jL/7gKQbE9c3Srp/cAfn3Gedc7Occ/MkXS/pT8MFGmQ/tm8DAEaSzPj930g6yznXJUlm\n9h+SntHYjkr4D0n3mdl7Je2W9NbEd8+QdJdz7poxfDeyDNu3AQDJSCbU7Fd8+qcr8bpA8fOfRs05\nd1jS5UO075f0ikDjnHtE0iNj+U1MXJy+DQBIRjKh5qikTWb2kOJraq6UtNbMbpck59xHPawPOY7t\n2wCAZCUTan6ZePR5xJtSgJOxfRsAkIpkdj/9YKQ+QLqxfRsAkKpk7igMjDtO3wYApIpQg4zT0R3R\nP//meV1cw/ZtAEDyUgo1ZhYws3KvigEkaf3uI+rsieoDK2rYvg0ASFoyN9/7sZmVm1mJpI2Snjez\nT3tfGnLVmp2HFQyYzps72e9SAAATSDIjNac5544pfpL27yTNl/ROT6tCTluzo0VnzKxQaQGLgwEA\nyUsm1OSZWZ7ioeYB51yv4verAdLueE9UG/a26sL5lX6XAgCYYJIJNXdK2iWpRFKjmc2VdMzLopC7\nnn7piHqjThcuqPK7FADABJNMqPmWc26mc+4a55yT9JKkyzyuCznqiZ0tCpi0dB7raQAAqUkm1Ow0\ns5VmdrmZmYuLeF4ZctKaHYd1+owKlRXm+V0KAGCCSSbULJb0sKQPKx5w7jCz5d6WhVzU1RvV03ta\ndQHraQAAozBiqHHOdTrn7nPOvVHSOZLKJT3qeWXIORv2tKonEtMFrKcBAIxCUjffM7MVZvafktZL\nKpT0Vk+rQk5as7NFZtKyeYzUAABSN+KNQMxsl6SnJd0n6dPOuQ6vi0JuWrPzsBZPK1dFMetpAACp\nS+buZksSN98DPNMTiWn97iO6/vw5fpcCAJigkllTQ6CB557b16qu3pguXMDUEwBgdDilGxnhiR0t\nkqRl81kkDAAYHUINMsKanS2qm1qqypJ8v0sBAExQySwULpD0JknzBvZ3zv2zd2Uhl/RGY1q3q0Vv\nOneW36UAACawZBYK3y/pqOLbubu9LQe5aOO+o+rsieoC1tMAAMYgmVAzyzl3teeVIGet2dm3noZQ\nAwAYvWTW1PzFzM70vBLkrDU7DqsmXKIpZYV+lwIAmMCSGalZLuldZrZT8eknk+Scc0s8rQw5IRpz\nWrfriF539gy/SwEATHDJhJrXeF4Fctbz+4+prTvCIZYAgDEbNtSYWXnixntt41gPcsyanYclSRdy\niCUAYIxONVLzY0mvVXzXk1N82qmPk7TAw7qQI57Y0aJ5VcWaWs56GgDA2Awbapxz/7+9Ow+Ss77v\nPP7+aEa3hA4OoVsCc1hgDjEeDcamzOXFBBsb2wS8dmGvHbYSH7Kd3Y0dp8q4tjbBScoVO8k6Yc3a\n+Ag+ABnKEM7YIclaLYQQRkhg4W4JnUia1n0wkua7f/QjeRBzPCNN99P99OdVNdXP8/TT3R+Jo7/z\ne77P73d98ji3dnGsmXR3B0+vKXPteadnHcXMzHIgTU8NkiYBZwFHf52OiKeqFcqaw4ubd7Nz/0HP\nT2NmZkMizYzCnwQWAjOA5UAH8CvgyupGs7w70k+zwP00ZmY2BNLMU7MQeCuwNiKuAC4GdlQ1lTWF\nQrHMjEmjmT5xdNZRzMwsB9IUNQci4gBU1oGKiBeBc6oby/IuIliypswCr8ptZmZDJE1PzXpJE4Gf\nAY9L2g6srW4sy7vVW/ZQ3tvlfhozMxsyAxY1EfH+ZPN2Sb8AJgCPVDWV5d7iYjI/jUdqzMxsiKRp\nFO75q/TzyWNUJ441i0KxzNQJo5g52f00ZmY2NNL01CwDtgK/AVYn22skLZN0STXDWT5FBIVSJwvm\nTkbSwC8wMzNLIU1R8zhwXUScEhEnU1kL6ufAHwH/u5rhLJ9+u3Uv2/Z0+VZuMzMbUmmKmo6IePTI\nTrk0FcgAABp/SURBVEQ8BlwaEYuBkVVLZrnl9Z7MzKwa0tz9tEnSnwA/SvZ/H3hVUgvQXbVklluF\nYpnTxo9kzsljso5iZmY5kmak5sNUZhP+GbAImJkcawFuql40y6Oj/TRnnOx+GjMzG1JpbuneBnym\nj6dfHto4lndrO/fx6q7XWDDX89OYmdnQSjNSM+QkTZb0uKTVyeOkPs6bKOleSS9KWiXp0lpntaH1\nu34aFzVmZja0MilqgC8CT0bEWcCTyX5vvgE8EhHnAhcCq2qUz6qkUCxzyrgRnHnquKyjmJlZzmRV\n1NwA3J1s3w2879gTJE0ALgfuAoiIrojwQpoNrlAq0+75aczMrAoGLGoknS3pSUkrkv0LJP3ZCX7u\nlIjYlGxvBqb0cs5cKhP9fUfSs5K+LWnsCX6uZWhdeR8bduz3IpZmZlYVaUZq/g/wJeAgQET8Grh5\noBdJekLSil5+buh5XkQEvS+70ArMB74VERcDe+n7MhWSbpO0VNLSrVu3pvhjWa0VSmUAL2JpZmZV\nkWaemjERseSYywWHBnpRRFzd13OSXpU0NSI2SZoKbOnltPXA+ogoJPv30k9RExF3AncCtLW1eW2q\nOlQodjJxzHDOPm181lHMzCyH0ozUbJN0JsloiqQPApv6f8mAHgRuTbZvBR449oSI2Aysk3ROcugq\nYOUJfq5laHGpk/Y5kxk2zP00ZmY29NIUNZ8C/hE4V9IG4HPAH57g594BXCNpNXB1so+kaZIe7nHe\nZ4AfSvo1cBHw5yf4uZaRjTv2s6683+s9mZlZ1aSZfK8IXJ006Q6LiN0n+qER0Ull5OXY4xuB63rs\nLwfaTvTzLHtH5qfxpHtmZlYtfRY1kr7Qx3EAIuLrVcpkOVQolhk/qpU3Tz0p6yhmZpZT/Y3UHOnm\nPAd4K5U+GID3AEuqGcryp1Aq0z5nMi3upzEzsyrps6iJiK8CSHoKmH/kspOk24GHapLOcmHLrgOU\ntu3lw+2zso5iZmY5lqZReArQ1WO/i94nyzPr1WLPT2NmZjWQZp6a7wFLJC1K9t/H75Y4MBtQodjJ\nuJGtzHM/jZmZVVGau5/+l6R/Bt6RHPp4RDxb3ViWJ4VSmbY5k2htyWqpMTMzawYDFjWSZgHbgEU9\nj0XEK9UMZvmwbc9rvLxlDx+YPyPrKGZmlnNpLj89xO/WZhpNZaHJl4DzqhXK8mOJ+2nMzKxG0lx+\nekvPfUnzgT+qWiLLlUKxkzEjWnjL9AlZRzEzs5wbdJNDRCwDFlQhi+VQoVTmktmTGO5+GjMzq7I0\nPTU9ZxYeBswHNlYtkeXG9r1dvLh5N9dfMDXrKGZm1gTS9NSM77F9iEqPzX3ViWN5UjjaT+NFLM3M\nrPrSFDUrI+KnPQ9I+hDw0z7ONwMqi1iObB3GBTPcT2NmZtWXptHhSymPmb1OoVhm/qxJjGxtyTqK\nmZk1gf5W6X43cB0wXdI3ezx1EpXLUGZ92rnvIKs272LhVWdlHcXMzJpEf5efNgJLgfcCz/Q4vhv4\nfDVDWeN7ek2ZCFgw1/00ZmZWG/2t0v0c8JykH0aER2ZsUAqlTka0DuPiWROzjmJmZk2iv8tPP4mI\nm4BnJcWxz0fEBVVNZg2tUCpz0cyJjBrufhozM6uN/i4/LUwer69FEMuP3QcOsmLDTj59xZuyjmJm\nZk2kv8tPm5LHtbWLY3mwdO12usPz05iZWW0NeEu3pBslrZa0U9IuSbsl7apFOGtMhWKZ4S1i/qxJ\nWUcxM7Mmkmbyvb8E3hMRq6odxvKhUOrkghkTGT3C/TRmZlY7aSbfe9UFjaW1r+sQz6/fyYK5k7OO\nYmZmTSbNSM1SST8Gfga8duRgRNxftVTWsJ5Zu51D3eF+GjMzq7k0Rc1JwD7gXT2OBeCixt6gUCzT\nMkxcMtv9NGZmVlsDFjUR8fFaBLF8KJQ6OX/6BMaNTFMvm5mZDZ0Bv3mOWffpiJ3A0oh4YOgjWaPa\n33WY5et28F8um5t1FDMza0JpGoVHARcBq5OfC4AZwCck/U0Vs1mDefaV7Rw8HCw4w03CZmZWe2mu\nEVwAXBYRhwEkfQv4N+DtwPNVzGYNZnGpzDBB2xwXNWZmVntpRmomAeN67I8FJidFzmu9v8SaUaHY\nybxpJ3HSqOFZRzEzsyaUdvK95ZJ+CQi4HPhzSWOBJ6qYzRrIgYOHeXbdDj7aMTvrKGZm1qTS3P10\nl6SHgfbk0J9GxMZk+79XLZk1lOfW7aDrUDcdnp/GzMwykubyE8ABYBOwHXiTpMurF8kaUaFURoJ2\n99OYmVlG0tzS/UlgIZU7npYDHcCvgCurG80aSaHUybmnn8SEMe6nMTOzbKQZqVkIvBVYGxFXABcD\nO6qayhpK16Funlm73es9mZlZptIUNQci4gCApJER8SJwTnVjWSN5fsMODhzspsPz05iZWYbS3P20\nXtJEKgtaPi5pO7C2urGskSwulgFon+smYTMzy06au5/en2zeLukXwATgkaqmsoZSKJU5e8o4Jo8d\nkXUUMzNrYqnufpI0SdIFwG5gPXB+VVNZwzh0uJtn1pRZ4FEaMzPLWJq7n/4n8DGgCHQnhwPf/WTA\nio272Nt12Os9mZlZ5tL01NwEnBkRXdUOY41ncbETgHbf+WRmZhlLc/lpBTCx2kGsMRWKnZxx6lhO\nGz8q6yhmZtbk0ozU/AXwrKQV9FjAMiLee7wfKmky8GNgDrAGuCkitvdy3ueBT1K53PU88PEjt5db\n9g53B0vXbOf6C6dlHcXMzCxVUXM38DUqRUX3AOem9UXgyYi4Q9IXk/0/6XmCpOnAZ4F5EbFf0k+A\nm4HvDlEGO0ErN+5i92uHPD+NmZnVhTRFzb6I+OYQf+4NwDuT7buBX3JMUZNoBUZLOgiMATb2co5l\npFCq9NP4ziczM6sHaYqaf5P0F8CDvP7y07IT+NwpEbEp2d4MTDn2hIjYIOmvgVeA/cBjEfHYCXym\nDbHFxTKzTx7D6RPcT2NmZtlLU9RcnDx29Dg24C3dkp4ATu/lqS/33ImIkBS9vH4SlRGduVTWmvqp\npI9ExA/6+LzbgNsAZs2a1V80GwLd3cHTa8pce15v/4jNzMxqL82MwlcczxtHxNV9PSfpVUlTI2KT\npKnAll5OuxooRcTW5DX3A28Dei1qIuJO4E6Atra2NxRJNrRe3LybnfsPen4aMzOrG6lmFK6CB4Fb\nk+1bgQd6OecVoEPSGEkCrgJW1SifDeBoP80Z7qcxM7P6kFVRcwdwjaTVVEZk7gCQNE3SwwARUQDu\nBZZRufNqGMlIjGWvUCwzY9Jopk8cnXUUMzMzIF1PzZCLiE4qIy/HHt8IXNdj/yvAV2oYzVKICJas\nKXPFOadlHcXMzOyoVEWNpLdRmSjv6PkR8b0qZbI6t3rLHsp7u9xPY2ZmdSXNgpbfB84ElgOHk8MB\nuKhpUoVkvacOz09jZmZ1JM1ITRuVWX19R5EBsLhUZuqEUcyc7H4aMzOrH2kXtPRkJAZU+mkKxU4W\nzJ1M5aY0MzOz+pBmpOYUYKWkJQzRgpbWuH67dS/b9nT5Vm4zM6s7aYqa26sdwhrH79Z7cpOwmZnV\nlzQzCv9rLYJYYygUy5w6fiRzTxmbdRQzM7PXGbCnRlKHpKcl7ZHUJemwpF21CGf1JSIolNxPY2Zm\n9SlNo/DfAbcAq4HRwCeBv69mKKtPazv38equ19xPY2ZmdSnVMgkR8TLQEhGHI+I7wLXVjWX16Eg/\nzaWedM/MzOpQmkbhfZJGAMsl/SWwiezWjLIMFYplThk3gjNPHZd1FDMzszdIU5x8NDnv08BeYCbw\ngWqGsvpUKJVpdz+NmZnVqTR3P62VNBqYGhFfrUEmq0PryvvYsGM/t11+RtZRzMzMepXm7qf3UFn3\n6ZFk/yJJD1Y7mNWXQqkM4EUszcysbqW5/HQ70A7sAIiI5cDcKmayOlQodjJxzHDOPm181lHMzMx6\nlaaoORgRO4855sUtm0yhVKZ9zmSGDXM/jZmZ1ac0Rc0Lkj4MtEg6S9LfAv+vyrmsjmzcsZ9Xyvs8\nP42ZmdW1NEXNZ4DzqCxmeQ+wC/hcNUNZffF6T2Zm1gjS3P20D/hy8mNNqFAsM35UK2+eelLWUczM\nzPrUZ1Ez0B1OEfHeoY9j9ehIP02L+2nMzKyO9TdScymwjsolpwLgb7QmtGXXAUrb9nJL+8yso5iZ\nmfWrv6LmdOAaKotZfhh4CLgnIl6oRTCrD4uPzE8z103CZmZW3/psFE4Wr3wkIm4FOoCXgV9K+nTN\n0lnmCsVOxo1s5bxp7qcxM7P61m+jsKSRwO9RGa2ZA3wTWFT9WFYvCqUyl8yeRGuL1zA1M7P61l+j\n8PeA84GHga9GxIqapbK6sG3Pa7y8ZQ8fmD8j6yhmZmYD6m+k5iNUVuVeCHy2x8rMAiIifD0i55Z4\nvSczM2sgfRY1EeHrDU2uUOxkzIgW3jJ9QtZRzMzMBuTCxfp0pJ9muPtpzMysAfjbynq1fW8XL27e\n7aURzMysYbiosV4tWXOkn8bz05iZWWNwUWO9KhTLjGwdxgUz3E9jZmaNwUWN9apQ6mT+rEmMbG3J\nOoqZmVkqLmrsDXbuO8jKTbt8K7eZmTUUFzX2Bk+vKRPh9Z7MzKyxuKixNyiUOhnRMoyLZ03MOoqZ\nmVlqLmrsDQqlMhfNnMio4e6nMTOzxuGixl5n94GDrNiw0/00ZmbWcFzU2OssXbudbvfTmJlZA3JR\nY69TKJZpHSbmz3Y/jZmZNRYXNfY6hVInF86cyJgR/S3gbmZmVn9c1NhR+7oO8fz6nV7vyczMGpKL\nGjvqmbXbOdQdXu/JzMwakosaO6pQLNMyTFwye1LWUczMzAYtk6JG0ockvSCpW1JbP+ddK+klSS9L\n+mItMzajQqmT86dPYNxI99OYmVnjyWqkZgVwI/BUXydIagH+Hng3MA+4RdK82sRrPgcOHua5dTvp\ncD+NmZk1qEx+JY+IVQCS+jutHXg5IorJuT8CbgBWVj1gE1r2yna6Dnd70j0zM2tY9dxTMx1Y12N/\nfXKsV5Juk7RU0tKtW7dWPVzeLC6WGSZom+OixszMGlPVRmokPQGc3stTX46IB4b68yLiTuBOgLa2\nthjq98+7QrGTedNO4qRRw7OOYmZmdlyqVtRExNUn+BYbgJk99mckx2yIHTh4mGfX7eCjHbOzjmJm\nZnbc6vny09PAWZLmShoB3Aw8mHGmXHpu3Q66DnV70j0zM2toWd3S/X5J64FLgYckPZocnybpYYCI\nOAR8GngUWAX8JCJeyCJv3hVKZSRod1FjZmYNLKu7nxYBi3o5vhG4rsf+w8DDNYzWlAqlTs6ZMp6J\nY0ZkHcXMzOy41fPlJ6uBrkPdPLN2Ox1eGsHMzBqci5om9/yGHRw42E2H56cxM7MG56KmyS0ulgFo\nn+uRGjMza2wuappcoVTm7CnjmDzW/TRmZtbYXNQ0sUOHu3lmTZkFHqUxM7MccFHTxFZs3MXersNe\n78nMzHLBRU0TKxQ7Ac9PY2Zm+eCipokVSmXOOHUsp40flXUUMzOzE+aipkkd7g6eLrmfxszM8sNF\nTZNauXEXu1875PlpzMwsN1zUNKlCqdJP45EaMzPLCxc1TWpxsczsk8dw+gT305iZWT64qGlC3d3B\n02vKLPBdT2ZmliMuaprQi5t3s3P/QV96MjOzXHFR04SO9tO4SdjMzHLERU0TKhTLTJ84mhmTxmQd\nxczMbMi4qGkyEcGSNWU6zvClJzMzyxcXNU1m9ZY9lPd2+dKTmZnljouaJnNkvacONwmbmVnOuKhp\nMotLZaZOGMXMyaOzjmJmZjakXNQ0kYigUKzMTyMp6zhmZmZDykVNEylu28u2Pa+xwE3CZmaWQy5q\nmsji4pH1ntwkbGZm+eOipokUimVOHT+SuaeMzTqKmZnZkHNR0yQigkKp0/00ZmaWWy5qmsTazn28\nusv9NGZmll8uaprEkfWeOtxPY2ZmOeWipkkUimVOHjuCN502LusoZmZmVeGipkkUSmXa3U9jZmY5\n5qKmCawr72PDjv2+ldvMzHLNRU0TKJTKAG4SNjOzXHNR0wQKxU4mjhnOOVPGZx3FzMysalzUNIFC\nqUz7nMkMG+Z+GjMzyy8XNTm3aed+Xinv86UnMzPLPRc1OVcoJv00bhI2M7Occ1GTc4VSJ+NHtfLm\nqSdlHcXMzKyqXNTk3KnjR3HDRdNocT+NmZnlXGvWAay6vnDN2VlHMDMzqwmP1JiZmVkuuKgxMzOz\nXHBRY2ZmZrngosbMzMxyIZOiRtKHJL0gqVtSWx/nzJT0C0krk3MX1jqnmZmZNY6sRmpWADcCT/Vz\nziHgjyNiHtABfErSvFqEMzMzs8aTyS3dEbEKQOp77pSI2ARsSrZ3S1oFTAdW1iKjmZmZNZaG6KmR\nNAe4GChkm8TMzMzqVdVGaiQ9AZzey1NfjogHBvE+44D7gM9FxK5+zrsNuA1g1qxZg0xrZmZmja5q\nRU1EXH2i7yFpOJWC5ocRcf8An3cncCdAW1tbnOhnm5mZWWOp28tPqjTc3AWsioivZ53HzMzM6ltW\nt3S/X9J64FLgIUmPJsenSXo4Oe0y4KPAlZKWJz/XZZHXzMzM6l9Wdz8tAhb1cnwjcF2y/e+Al5Y2\nMzOzVBSRv/YTSVuBtVV461OAbVV432pz7tppxMzg3LXUiJnBuWupETNDdXPPjohTBzopl0VNtUha\nGhG9zoBcz5y7dhoxMzh3LTViZnDuWmrEzFAfueu2UdjMzMxsMFzUmJmZWS64qBmcO7MOcJycu3Ya\nMTM4dy01YmZw7lpqxMxQB7ndU2NmZma54JEaMzMzywUXNSlI+r+StkhakXWWwZA0U9IvJK2U9IKk\nhVlnGoikUZKWSHouyfzVrDMNhqQWSc9K+nnWWdKStEbS88kEl0uzzpOGpImS7pX0oqRVki7NOtNA\nJJ3TYyLR5ZJ2Sfpc1rkGIunzyX+LKyTdI2lU1pnSkLQwyfxCPf899/b9ImmypMclrU4eJ2WZsTd9\n5P5Q8vfdLSmTu6Bc1KTzXeDarEMch0PAH0fEPKAD+JSkeRlnGshrwJURcSFwEXCtpI6MMw3GQmBV\n1iGOwxURcVHWt2MOwjeARyLiXOBCGuDvPCJeSv6OLwIuAfbRyySk9UTSdOCzQFtEnA+0ADdnm2pg\nks4H/gBop/Lvx/WS3pRtqj59lzd+v3wReDIizgKeTPbrzXd5Y+4VwI3AUzVPk3BRk0JEPAWUs84x\nWBGxKSKWJdu7qfyPf3q2qfoXFXuS3eHJT0M0fkmaAfwe8O2ss+SZpAnA5VTWhiMiuiJiR7apBu0q\n4LcRUY1JQodaKzBaUiswBtiYcZ403gwUImJfRBwC/pXKl23d6eP75Qbg7mT7buB9NQ2VQm+5I2JV\nRLyUUSTARU3TkDQHuBgoZJtkYMklnOXAFuDxiKj7zIm/Af4H0J11kEEK4AlJz0i6LeswKcwFtgLf\nSS71fVvS2KxDDdLNwD1ZhxhIRGwA/hp4BdgE7IyIx7JNlcoK4B2STpY0hsryOzMzzjQYUyJiU7K9\nGZiSZZhG4qKmCUgaB9wHfC4idmWdZyARcTgZop8BtCdDyXVN0vXAloh4Jussx+Htyd/3u6lcorw8\n60ADaAXmA9+KiIuBvdTn8HyvJI0A3gv8NOssA0l6OW6gUkhOA8ZK+ki2qQYWEauArwGPAY8Ay4HD\nmYY6TlG5RbkhRqvrgYuanJM0nEpB88OIuD/rPIORXFL4BY3Rz3QZ8F5Ja4AfUVld/gfZRkon+W2c\niNhCpcejPdtEA1oPrO8xgncvlSKnUbwbWBYRr2YdJIWrgVJEbI2Ig8D9wNsyzpRKRNwVEZdExOXA\nduA3WWcahFclTQVIHrdknKdhuKjJMUmi0newKiK+nnWeNCSdKmlisj0auAZ4MdtUA4uIL0XEjIiY\nQ+XSwr9ERN3/RitprKTxR7aBd1EZuq9bEbEZWCfpnOTQVcDKDCMN1i00wKWnxCtAh6Qxyf9PrqIB\nmrIBJJ2WPM6i0k/zT9kmGpQHgVuT7VuBBzLM0lBasw7QCCTdA7wTOEXSeuArEXFXtqlSuQz4KPB8\n0qMC8KcR8XCGmQYyFbhbUguVovsnEdEwt0c3oCnAosr3Fa3AP0XEI9lGSuUzwA+TSzlF4OMZ50kl\nKRyvAf5r1lnSiIiCpHuBZVTupnyWOpg1NqX7JJ0MHAQ+Va/N5L19vwB3AD+R9AlgLXBTdgl710fu\nMvC3wKnAQ5KWR8R/qmkuzyhsZmZmeeDLT2ZmZpYLLmrMzMwsF1zUmJmZWS64qDEzM7NccFFjZmZm\nueCixsxqRtL7JIWkc4fwPT8madpQvZ+ZNS4XNWZWS7cA/548nrBkPqOPUZnCfzCv8xxdZjnkosbM\naiJZg+ztwCeozLqMpHdKekrSQ5JekvQPkoYlz71L0q8kLZP00+T1SFoj6WuSllEpjtqoTMS3XNLo\n5PlTknPbJP0y2b5d0vcl/Qfw/WTh1L+S9LSkX0tqiAnxzKxvLmrMrFZuAB6JiN8AnZIuSY63U5kh\neB5wJnBjUpT8GXB1RMwHlgJf6PFenRExPyJ+kDz3nyPioojYP0CGecl73kKluNoZEW8F3gr8gaS5\nQ/NHNbMseAjWzGrlFuAbyfaPkv2fA0sioghHp15/O3CASgHyH8kSDiOAX/V4rx8fZ4YHexQ+7wIu\nkPTBZH8CcBZQOs73NrOMuagxs6qTNBm4EniLpABagAAeSh57CkDA48mISm/29vNxh/jdKPSofl4n\n4DMR8ejAfwIzawS+/GRmtfBB4PsRMTsi5kTETCojIu8A2iXNTXppfp9KI/Fi4DJJb4Kjq4mf3cd7\n7wbG99hfAxy5tPWBfjI9CvyhpOHJZ5ydLDhpZg3KRY2Z1cItwKJjjt2XHH8a+DtgFZVCZ1FEbKVy\nV9M9kn5N5dJTX7eBfxf4hyONwsBXgW9IWgoc7ifTt4GVwDJJK4B/xKPXZg3Nq3SbWWYkvRP4bxFx\nfdZZzKzxeaTGzMzMcsEjNWZmZpYLHqkxMzOzXHBRY2ZmZrngosbMzMxywUWNmZmZ5YKLGjMzM8sF\nFzVmZmaWC/8fJPZNQ+i6b48AAAAASUVORK5CYII=\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 10 as target." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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9Kp1uH43t3TS2uTnc4Y7J9ghZKRYKsxxSkEyICAp3Wucl4CrgzuDti8c30Fr/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\n766I9hFg2yYXf/3Tbzh3+Rd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_Y'], orig_des['MAG_APER_10_Y'], stellarities['y'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "We use magnitudes between 15.0 and 16.0." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for y band:\n", "Correction: -0.2601947784423828\n", "Number of source used: 1262\n", "RMS: 0.04467325882172178\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['y'], num, std = aperture_correction(\n", " orig_des['MAG_APER_4_Y'], orig_des['MAG_APER_10_Y'], \n", " stellarities['y'],\n", " mag_min=15.0, mag_max=16.0)\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": [ "## 2 - Column selection" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "\n", "imported_columns = OrderedDict({\n", " 'COADD_OBJECT_ID': \"des_id\",\n", " 'RA': \"des_ra\",\n", " 'DEC': \"des_dec\",\n", " 'CLASS_STAR_G': \"des_stellarity\",\n", " \n", " 'MAG_AUTO_G': \"m_decam_g\", \n", " 'MAGERR_AUTO_G': \"merr_decam_g\", \n", " 'MAG_APER_4_G': \"m_ap_decam_g\", \n", " 'MAGERR_APER_4_G': \"merr_ap_decam_g\",\n", " \n", " 'MAG_AUTO_R': \"m_decam_r\", \n", " 'MAGERR_AUTO_R': \"merr_decam_r\", \n", " 'MAG_APER_4_R': \"m_ap_decam_r\", \n", " 'MAGERR_APER_4_R': \"merr_ap_decam_r\",\n", " \n", " 'MAG_AUTO_I': \"m_decam_i\", \n", " 'MAGERR_AUTO_I': \"merr_decam_i\", \n", " 'MAG_APER_4_I': \"m_ap_decam_i\", \n", " 'MAGERR_APER_4_I': \"merr_ap_decam_i\",\n", " \n", " 'MAG_AUTO_Z': \"m_decam_z\", \n", " 'MAGERR_AUTO_Z': \"merr_decam_z\", \n", " 'MAG_APER_4_Z': \"m_ap_decam_z\", \n", " 'MAGERR_APER_4_Z': \"merr_ap_decam_z\",\n", " \n", " 'MAG_AUTO_Y': \"m_decam_y\", \n", " 'MAGERR_AUTO_Y': \"merr_decam_y\", \n", " 'MAG_APER_4_Y': \"m_ap_decam_y\", \n", " 'MAGERR_APER_4_Y': \"merr_ap_decam_y\",\n", "\n", " })\n", "\n", "\n", "catalogue = Table.read(\"../../dmu0/dmu0_DES/data/DES-DR1_CDFS-SWIRE.fits\")[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": 22, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Aperture correction\n", "for band in bands:\n", " catalogue[\"m_ap_decam_{}\".format(band)] += mag_corr[band]" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "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" ] } ], "source": [ "# Adding flux and band-flag columns\n", "for col in catalogue.colnames:\n", "\n", " \n", " if col.startswith('m_'):\n", " \n", " errcol = \"merr{}\".format(col[1:])\n", " \n", " # Some objects have -99.0 values\n", " mask = (catalogue[col] > 50.) | (catalogue[col] < 0.)\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. \n", " \n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<Table masked=True length=10>\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
idxdes_iddes_rades_decdes_stellaritym_decam_gmerr_decam_gm_ap_decam_gmerr_ap_decam_gm_decam_rmerr_decam_rm_ap_decam_rmerr_ap_decam_rm_decam_imerr_decam_im_ap_decam_imerr_ap_decam_im_decam_zmerr_decam_zm_ap_decam_zmerr_ap_decam_zm_decam_ymerr_decam_ym_ap_decam_ymerr_ap_decam_yf_decam_gferr_decam_gflag_decam_gf_ap_decam_gferr_ap_decam_gf_decam_rferr_decam_rflag_decam_rf_ap_decam_rferr_ap_decam_rf_decam_iferr_decam_iflag_decam_if_ap_decam_iferr_ap_decam_if_decam_zferr_decam_zflag_decam_zf_ap_decam_zferr_ap_decam_zf_decam_yferr_decam_yflag_decam_yf_ap_decam_yferr_ap_decam_y
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\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "catalogue[:10].show_in_notebook()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Removal of duplicated sources" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We remove duplicated objects from the input catalogues." ] }, { "cell_type": "code", "execution_count": 25, "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 999553 sources.\n", "The cleaned catalogue has 999544 sources (9 removed).\n", "The cleaned catalogue has 9 sources flagged as having been cleaned\n" ] } ], "source": [ "SORT_COLS = ['merr_ap_decam_g', 'merr_ap_decam_r','merr_ap_decam_i','merr_ap_decam_z','merr_ap_decam_y']\n", "FLAG_NAME = 'des_flag_cleaned'\n", "\n", "nb_orig_sources = len(catalogue)\n", "\n", "catalogue = remove_duplicates(catalogue, RA_COL, DEC_COL, sort_col=SORT_COLS,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": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_CDFS-SWIRE.fits\")\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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iBSXr9oSuT9hXOHpfxDZz8NdLpTgCSrAA9a8ml+eTEgjqKgKw+3ALUkrYXvZ2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ks9vhNxVUFX5b2VKrNGxWnE2gaXGH+3D7yDpPmuDOMbRL0mGC5fzNz9fN2jgS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+MkbUPudDJrBKcqPKnwSo+cIm7WEOtaWouuJ+bOYkGC9VLJimPC3tzibgL2+lYAtGcv8ccjzivK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HEBb1voYU8KpzmsyBnqFGgpxXrBsUMILDT7CRLY9UGe8XmYz5J9NCDWFbSugPY1Rx1VDml7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5rtMDV2a+v/8s2bUiyDY5znLLLFp4OqqFbkBjuBPK0NifVDwXAXeUa8k5hz8PpFGWQ3/o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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": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RA correction: 0.15149059884294047 arcsec\n", "Dec correction: -0.057696934679540846 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": 29, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue[RA_COL] = catalogue[RA_COL] + delta_ra.to(u.deg)\n", "catalogue[DEC_COL] = catalogue[DEC_COL] + delta_dec.to(u.deg)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue[RA_COL].unit = u.deg\n", "catalogue[DEC_COL].unit = u.deg" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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HnbUYsyFR3I1Ee/s7Q/QNchKzv//977jooovwzDPPpLy+ceNGLFiwANu2bSvI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\nR1lQUBA7fPgwU6lU7NKlS+zpp59mKSkpwjr+/v7s+PHjjqxCo6yp354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01tO2Nf0JQAj4b74FXUZPV6Tv+RycHKOM3StUiHN2vRdhzIT1sO8o3nrbsiAK\n6d6ZTU4cEqxqKwFtd4iIjVue1y+dnxefr84+J+V43V1dI+8/gdkcfeWezUuYmPgQmByAiT+aOwHV\nmA7Gjf33MSOq2F042c1W1YzefOwnL3urr5cBBkUGAe2QbMNqYqiIRYWr51DPaPrEaubHdH8ab9AF\nzovdSNWb0RcBHLS9CQhFIWa0LNDlDJ0v0f04x17AlTPbBXBoTYvQj6uF64X1nyerHeerb5E/+E9o\nAP/Kj+NZm8o/ZjPutxvycgUrq2WLgh721iN/aNDLW7RwSB6n7x2v0bIw47MbW9hSRmaVORrqEEC7\nHq6ukM0tZ+q4CgviYce8ShTbDDo3Q5FHw9lFM4KlR30YZyKoRcCoRa/p8GLCnoiiKJKUlFpK55mp\nsFWPbw6IgtPBjO0QUQ34UOCOTmDXoSnj64AOEU0ZKTyFZnTXwWqJtu2o47AIX2cl0m7suvDBHKUU\nzWkrvTl3fW/HDfZaRF5eZ7MC3Y2PL+ew2SEx2VwBVSsfOaCeW+R/szHjWXozyjj7G+uKdP8e/vk1\nhJL46rEZ/zxmZoZhFKr2iB87Uq639t6uF0gGvbgiV8XL+RT7Fj2MjkXCrouuwzWdnfe2Q2LE7Rvy\nK/fMMW0ay4h1LQwRCcG0BWen6PmJZQh2e9zzK/zVLbqcEx+e4//D7yHDgCK2h+J//KI5djDqH8zx\npSg+0lvCxHcfkwMwYajVQS3Kjy9brG4PdoM/WQFiN+dBLPUZxxarIlh6t2ns636A4CyF2jdwGMjn\na/zTcQb9aUCrChEPh8Ym/M3m9ne6bOncrrepgJVH8yiCa1oTZBUBCWOatgTxnnR0RHHYI5sOJePm\nc2RRWomgHyxyDM4i3bYBsbS6PtkT3/pNNGdACdv/A3fvz+EutxAceTEjrZajIKzHPb1AnZhYLPFi\neBEPzsgPz5C2h5MjNCXc/mDnsSrhaDWOJfbIwYycDNFEaCpIipy5WzSBrk+RlNDbW/T0DF2vbYvi\n6Zzc9bicUZT84OGdcN6OY7ODWTFOSxzwhaWctWkJCiB4hMV8Qep6qkEp7jIp+z2yWoJ4nHjyqw+R\n3R51SvnonPDNb0FUnCpx/Qaomvbh4hKVZLV5HPHsHrrZwdEaEY8bBrJEU+tLD77H+fHaSMmcRO/s\nPe/t/OCDDXq628Ow26NdY8e5Wo7rJE1MSm+Ow4truC6h8KQf/n7yzRaVsewwDHC9tb0IFWa0o7NJ\nh16Qvh/G+qWvAAAgAElEQVRbFAsIY2tgG2G9RA97qxLEBBdXSBfRwwoZOlQCtAfLiuFgUZgA1jnk\nLv0/ZmT85hapavTihry7j56fIk8vKf/D79nrTCCFs/MwLr1y17fkzQ49PbIsWNdbKaobrIR0evSd\n2oK2s8+vc/b4pDuY+K8wOQATYw2/G8VOFj1z6NGcoOustn1o0eMVPDizm89iaQatGExU9WyPeJve\npocGLYJFZmX1YqxrOluh9QJZ1BS3W/LFFelsTXV69FJIJTJGvWotYDlbSTurtdT1YtPrvLA/XDDo\njiAl5bIiHCJFEovE9zsgk1cr9HhhmYCcoO/RLuKaFjdkaK9xF0I8VqRy0DW4aBPo5HaD6xr00JNf\nPUHUI3ls72t7tL2C1dwMws0Gzk/QB6cWAL/3GIkDpAFtMiRTjLvdAekGuLiBnFEvSE6AWg3Z25x9\njYIMimx25Ky4toX5jPTmZ0iFR+dzi4gbi2bdbg9pMKctK8xKCu9IMSHNQH11RcxKengPn5XZag1l\nSe57JAElaN/jgqdwHnGCHK0IThDtyfIqcmgY6sJGMYca/9Y7Vj7prYUz1TPUVTZToGmg87CsoN0h\nXQvFDB1aNIHMZmZk89i3f9dqR4ZmsNp/8GacY7Ksy2aPHh+Nvf3ZnMzVclxC1CHJMkgaCjPcx0d2\nHHcivNMjczivL1Cp4MTEfHpoiK+/it8d0EOLLuZoXVm0P/TgHOEP38NdXcPtDnUgHzwhn59CcCRV\nfLYZB+qAISM62OehN62Ku7rFH/boMqPB4R4/J62WuIsbG2CUrKTkDgN5NhuN/Z4cHHzwxDJsy9qE\npts9Unh0f0D31opKPbPPyp2eIUb0+aU5VlVln9Hv+MwP5kR9eyfDxKeOyQGYMOOb1G5Y1xsTZA1j\nJoAx0vJjb3TT2PditBt4HKBew3JpgrnLa9wwkOZzS1GeHaHLud1MFysQRdqW+X5nRmx3QKtgqezV\nYhzGwlhjHRfN9D1uSFDWJgjbbmmWgb7t8WFGKub0u+eEYYXEHpesJKFVYSrxwqJtjRFRQWJvdeGu\nJ2TI7oThcIGPAkdntp44DWM0WOIqbyp3ovWyv7jJjtmKPuIubqEI5PkMNlvk4sYEiLMShkx+uIJD\nwqkt2NHtwX7XYk5aLpEhkkWR/cFa44Kz9H1ZEJ4+xwloiviv/yH9D32/Gc676YooVA76sR++G+ft\nVxU+HSj+4OuIZmS1Irz3AenhPRsShEWoOSnucgcacccr9OwYHWvaMnYcaF2gdWGGowqw31sWZYjI\n0OOePSatj6Fa4a9u8Zsd2nTI5x4wnK7ttaqas5nyeG7lZXnpaDWKAxPFW++bA7dt0NKjR2t0XdqU\nxO3Byjf1DHw/lkCSvRfem/F1yaJuzXaN1qPQ8Poaef7MpAtxT17NUT/uJVgtiK/cf7FGma63zovt\nnrDd4W9vYbvFNQ05FBad7/bkh/eR7QH13jIEh3FN4mKOmooDt22s9TMr7HbIYo4Gj2wO5LpAYzat\nRte/SPVr148limO43SJVQY79ONOih31EljVcd8hRtvdzt7e/vV7BzQbf92g1Q1cz9OTYMkMAVzfW\nhtt2Vqp69f7L+QhtZ+9TVdpnz4mVaia+K5kcgE87d5PS7vqiDw2uKsBZPzh9RjxoTsgW63vfHBAd\nB6yUBdpHJGbc0wv85Y1NiqtmDI8egszsBtxkGwnbD1a7nc+RfWOGL2f0jbmllTcHE1Rhc+bvxr/K\nEC2jkAZk36FnNbk8R7JDup6cRr0AowH03mrmmz0uDkhZoPvWavDOIjNpeigcxdn3UmyX5KJG8j1S\nXSPlDndXd61s3a0eGitLeFtQo+dmuF3XWy+8OPjgGVpZBEfT2myD0wUpC65r7ZTPKjOidxqGrMj2\ngAsOWczJXWevo57b7312acayH+B2j//6t0ivP7CWOtTq4hkUQW+3FI8vkXmFvvIAeX6Jv9nQqrK/\nvaE9WVO8esp6ViFdR1zMcdsGF3tk28D7z+nvr5EvvIH6giFGdHGE299ajbuco7kEInpoEcZSSvK4\nrkU+uELwcGjxJOS9J+jtjuF7XgefbScCo4Ykq6Wpy+LF5D73wdMxG1CN7+GArhZW+kHsGtqJaQTq\nmTkiRQB1Y3mqRyN2LcRRXLe1wVMcDmaS+zhOjIzo/SPTeszGSFj8C7GiHFpzSi434xpk/1IgWgTL\nXKSIv9mgsTPnY70gP3rF/q44c9qqwozwwSYgqhPS0QoKhy5XDK+/hr+8tnkIZUB2DbpegFibpAwR\nvdpAUSIiSLKSlhYemY+ZlGePcfM5aEa/9R4uppfzDlTRMOotuojbHWxWxb6xERlDRD/7GlzeWNkq\nqe23eHAOXW9llNMjO98T31VMDsCnmWGwFrbtHk2Kdh3ixWruywVUA+xa3Nsf4HYHU9CL9dJzdWvp\n/bq2aHpu6n6buuYRX+B2Lfku/Tgki4LABq40jUUh3uHyjLw72I2s780RGDKKQ5YLmM3onjzHNT3E\niD9eU84qmrwlHbaQIvPVK+TS+tLz3IylOmsTlKqEfnQCGkWLAq3nlvKubHqgrB7hlzPwgb5PDK+8\nho8dpaq9pOXcZBIeohbkqLhuoIgdqahgVuOyI7Y96gd4eIZ7/BwtAt29U8QFhpMVboioeFwecEWF\nbxqYeRO6jZv1ZLGwzX9lsIVCqwWu65DbPdI0pHci+fY58Uvfa4OMQommga65wn3zPXLfMRvOcQq6\n2TCExG2z5zofiDiGq3cpH3yW2fEaXIFuNjD0+O2eKAI3e9w33kHfeIXcNmzo0KDUoWb+bE/5/lto\nEchHx+jQoR6yswjYiyJ9i0stUteo87gi2FKlem5GerO3CF/Hcb3Bm6hPHHm1xOXHo9AU9OSIfLSy\nzFNZ2HKh4RZuarQubepjSkBC21G74u80KgMwahx0gFChurV5E9kGMGlZmDOWs2U0itKMfbd90a6X\nBcJmY88PnvzoIYKQ7p/BzRadF3B1wPUD7irhipL48Bzun1H+7n/GXVyDwHD/DH30CnrvyLIFHzzD\nXW0gOOKDU1xdm7BysURjb5+ntjOnZrHC3T8xZ6DrbFNj26IPHiDvfIBvOtJyDuencLtBF3O7lroe\nLUrk0JgW4nBAn1zgN+MQJe9xFzekIuAODTQtsm1xXUPe7ZG6hrpCc7JJnauFvWeHgzm3xdjWWM9e\n7pL49pLCna7oTrj4R41jnvjY8F/5yle+8nEfxEfF4dD/yU/6bicli5C3O7gde8zFWSo5hLH1K0Kf\nbcFa0xBuNkiKNgylT6iz9j9x1hOt3ubRy66xyCNGtIvkV86tXj9ES8PrqJL3wTIKion/VgvkZot7\n/xm+bcmnxy/qr5KV2Gc0FGTvyUWFrJe4MlDlktBEZk0gSGVRSjtYv3Zlw310USON3Uz1amuGfD5D\nzo7Q5QLmFVqUuGiiqngY4HqDJkG7nlx4HM5Sqa7gkIUuVISbG9QVDN1A6BStKjoUvX8KQcg43NGK\n4XgFyzW6XjGUni4UaBlIyxUaKlxt9Vv/9BLZmI5CFzXiA1LPyCdH5DcekSXjn1+TqkCnB3Lq2K0K\nGj8QUZrhlrA7ULQ9TsUyJsnjcs+wKnjev090PfneEdpFQjewOD6FdoOmhNzskLbBFwVZHKKZXJZs\nbp+SXUSbnua9t5n/4QcUFEhVIDET3/wMWlTgBNdn9GSNGxISB8Q58tHShj49uPdyGM5+NB7dMDp9\ng2V6NMNyYc7Q0JNnNfm1+5bSnpWWtenHFLWC3O7HEgJWArgb+1tW44TA8eu73nvv0HoGksn1HNZr\n/PNL3G5vWRnBOirqclxkNVjEvduT1yu0rklvvEr8/u8h3T9DixKtAv7dx4TrDf7Oya0CzjloWsL7\nT190ZdAPpO//AtQ17vEzwtUtfr9Hbm6Ruka6zro7imBOTB+R5QINAbl/BosaaTubiqgJSRl58hyZ\nFWgI+G6w+QwhwKyyMsKhNZ1KHGA2Qw4d7tAi2/1o7A82SvtmA2KnQO5WMSsvMghy14mhpktxu4M5\n8ENvq7x3h5ctl/1YPgPr0tjuzYEbM2gvHpv4SFgs/vgSzuSOfRq4S/GDGf+bDdIOluY7WlsqOg9Q\nVpbmVqUr4NDtcO2WRU7MnYc4IIcG7WukKsY6tYyR1UA6P0aaFgmmytciWJvg/gCLhannU7Ipdcs1\nOtwgZQFtR3jn/bEHOhJudwxvvgHHS7QZ0JhMJ9AJstugBXC0wl/cEuo1ur9m2GyR9QLvxk6FbL3l\n4MizgDQdev/MWgpzhfYO7i3Iy1Hs9fQKubgmHwaGcmHSh6fPKZxS1BVD07F/5QGbCM6yxyxcRFxF\ns/LockkfSpwMlIcNabFAihOiy/SLQO6UXHoa53Glx91uWN30DFWgjAPxeA7zgMOTuwF5fokTR1EE\n2v/5B+CNB7g/fBvtB4Z+y3Do6J4q6dXXcMGxb6/RfU92Shg6C1tLz/61imJ7S1jNOVQRSQfqLMh+\nYHgvk9IWrWp0PWN+26GDo+qVfnZEtd3hdg3ZFbhnl/gPHhO3GU8kOQ/LcejQ6ZEJCkOJDAPxc6+h\ny++1Ns2U0fUKdi1SFTbn348RYo5wGHUVfRyFg71tflwuzCAN0Qx3Nyr/+wiHAcpxG+AwQB8sc3SX\nxi8qi+YZJyai46IgcwjUB9zhgP/G2zbJsO0I33qP4TOvkc+OzZEoCljP0YsbJGVzKEuxss5ub+Ur\nBe3HEsX2YJ+dorCef+U7dxB4D3WFf+d9WK1MCBoCOIcLnpwS+eQYZqWtY84ZKUs4O7XruGlgCGQF\nv90htw0MA9K05GFAHt5D+0jOCXnl/iigBV3WNoxq6E0jcKfDKDx6fY3rbcQ0OeM2O9KsQLYtOvM2\nzGi1Ng1Q18HJkWUlNhvkyZUJFdsWOT3Cx4xudujxivB7X8dtt+TTY+L/8KZlY3rr6uHQoq89MIfo\nzjGa+NiYHIDvdtoOrm9fzmC/vrFWtTZaxBFv4Ghuu+G9H6fIKYf+YFHzasl+s2W2Sbhgg2q4buAI\nQGxiX2XqdSkC+fUHFuH3PdzYABS8g80GLUt0WZlgMDiyJuTiGt+N6uWY0KFHGktN0kbLSuQe3R5w\nT55BCBRNj/oSukRq9/QScLmlGxLVeoXvItzemmZgtzfDoBnahFQLpG+RNkIb0K4g3z8lf/a1scZ6\ni7u8RVNGh4ifmbDO3Wxo3ngNqUp2OVGIpx8yXhxeClx5jrt8j/Ibb5FFiEG5/dIP0M/WRIS88MR9\nB+KIVxvCH75F9hXrlBnqivp0hSzn9H3EfeNtQjegRcEwNBR/+A7xf/oi+TOvkN9/G24GfFnAYYt7\n/wPyF9a4KKQFpBCI1ORQ0722hrwh1ktWOaDbG1LXUYhnGZa0V1+n311RDA4tSprjzzGr5qQ241Ho\nBuYRdjcH/KaHMGceGFcsH0g/YNEsOVrUzBLdHfA310jXk47X6NEKObSIF7vZb/eoE9zNraXGgdwP\n5HunYw0+Qtfh332M6wZyPSP/wBeQukK9txbQ3RPoBV3NX16zfpyCGApLTy/mo8gwjzMCBILY9fb0\nElD85TUaAm6zhaxUl9c2iGm5JL75yOYwzEvyq/fxz6/QrOR6hmy2uGEwRyMOY9ZghmaxVdHOkesK\nPT8hPbvEbfamz0CsjJW3SNMCDtkf7PeeF1B51NtrkL63wUOXN/YaZ5Vtfby6tnbG7d7mX1QFro+k\n7QY9OsbVtUXa8xpdzq2V8tDi9g0pJmgH68joo63VzqBinShKAbOKPGT73JZCrsaZElVlJYSLa/xb\n71rmcOiR7Z68ttZMefIc9/SC4pvvgCj+6YVpOJyNfs4PztCTI3h6AffPTacx+7YuBBlFoXcC4DsH\noRwnMu4OwLj6eT77Lycq5vzy90ydDf9NTA7AdzNDNMXvoQUnJna6W7rTjxPNinF+fBhvkofOWvli\nb/XG2jOcHdMvwM0qQHD7HTzZ2/S9o4XdcFVtmU6KiB9bCUsPu9ZqrOMNmNXRuBoWS3kva/KRR79+\ni6TOsrD1HLnZWnahKhDvCe88RoOQnaNLPfqtdwlZkaaxvvX1AreuiT7gr3bWGhWstuuePodZiUgF\nBx3TwVir4ZiGlkOLlgVytqAcOobDgaryuNUCup4USvomEXOizbA/rghtxzKs6ZbHBOc4ud7QO09I\nA9ru2bz1NfrPfQ/L1RnEzL4fKNTB7Q3JBbIv2LlEpT2zmEEjWpYMp0v802vk/2HvTZotObYrvc+7\n6E5/m+zR8/GRxSqKmsg0kUwj/XlNaKRKRrIK5AMekN3tThutu28NdmSCMk00EB8lFMIMZgkg8+Zp\nIty3773Wt2IkS8SUDpwjX18TDw+M/R3RC1UOyBSYZKSsSoJbk8j8ZO6Ji57cPnHTZ5bbFWKF9WoL\nfiT1D/RTS7r/QNEmRDLOLBB3gsVzCBG6FgkFi9U1vj+Rm0TTGdzKk8hM33yJbLe6KcgM4vEB9/CA\nCQW56zH7E/nrNypaM4BzqgtICTtGDebJEXvYK+sfC9bg3t3j9kfNgLhckD+ukK9fzaf4EvnihRa2\ncW7/kxUAZCycTvN93KniPit1T5paY5X3J920o6rubdfriR1RsM/jHjC4f/wD+eULWNUwjrrJNTWM\nZ8zpLdJPmMWNFpJFTdwYbNGRMcRnO2S7ZJSO8N0X2LPmNYS7Ry1ErdFNcYxIWZKtUfGeoNqV4wU3\nzuTEptFNcrtS4d5smzSXC5CRuiGvlsjNDpGM7XvEN/p89wNiHOZyRpJgjMeYUX+dk6Y0jhP27gF8\nIP7lt5imwUwyI5wnjLHIZqGv8XDCxqy2zE5TLAlBuzvOINOEedjP1kkVebr3H1UPkTL2cCZd7X7Z\nnOfCAND1wzm1HbcdPBzmzmGDXG8xzmgnpuuQ41HZGLv1Lx2ET9TRTw6GRfNbEfD/4PqtAPg1X0Ov\n87eTzkpNVSHOaDvw08l8twasVuPWajfgMtC0Jd0kpL6jLj3WRBhmLn6e2fRdj0XIOPVf54zZbZEU\nEWsxWOzPH7HGICkRv/tSoS2XVhfreXwAML14jn/YI2VJurnG7k/k7QLOE/79A/lygZQ5X+/wLoIU\nTOslAUssHHz7CjCY4OaHH23XYkg+MFhHMgmfBqpmg73fY/sDUlnSm2dImpBhQMRgthvMt6+JQ4f5\n8WfECYdn1/gp0f3TP7IcB3h2xeWb11zKhmW9xCXIVUVxSESjXneqNc4KU3tGgCWOhENWS+J+P5+6\nEl2osF+8JE8doW6QqyvK09/CNGHrHbmqMP/1D6Tn19w1BuNhNB2+TzQ3X1DSgOvAeoaux5QDJl6I\n44WfzMBf1i8x4uaQo0dggMsjfhIyAtaTp4HiwwO2Lchff6OK9yFi+oHKN/DmGpvfkvuB/PwGefVc\nP99P8B0BioBJRlvSVnR1kUgOhW5oQ0TqUhkMxzMGIa1XsN7ARgOgELSb1PVqS40J+/RI/MtvdcOY\nlLrHchb/LRrdcJz/pXXfdvOG0+p7NsDdI7JdIyKYQwtVQdyuMeczrhvAe+xgVDwX5mCjvmUOJ9D7\nWSLmcq8dLwHGR0z5TMmA3RkxlrRqkNWSu4d/ZoxnMLBtXrNcbkmHI26KqpsZJxVFNqW6XMQgwf2i\n0m91ZGIuLSknbel/wmk3NbJc6om3qVQkejphj62OXID8598o3ZEMvsSErPyKKWH6CeqC/HTCdj1S\nVeAs/u1H4u/XEEflS3mDmRISNMbZPDyBdUhRaBEQAnnVAMpeyKtrLRxBOwQ5KUFSgNLpaK4qANE1\nwM1x0Kimg/1BQU3v7nD3+nxwvhD7Dm6u5y7eAMbM2QteRYkpz0WHm62gcU6S9HoIEC3uiFkPPEXx\n2+hhvn4TAf6ar+MJPj5gWo2VleNZ57XNXB0vGl28i5l/H5wu4k+ZIkM1ZJqfnljsH3Fdj5lGzGaF\n6UdM2+rha4qzTWsO0PmETy0K3OMeM4NQaAKyWau9K8ZfICu9Mtvt0wjNGlMXcBkZak9abpU9fzgz\nLRuSNfSXC936imADDJGirpBFQJY1Fk8xCvhCN5+cIFiGPKmjoAzkdcnU9oR336vv3Rhoe44vbxin\ngWgFWTeEqzU4S14s6UMgpkz1/R8pH+6x3tKcj0ylkgKDq7l6/EgVB5rDkcHCdPuK9PoVuesIaSCM\nQjmNVEWNW1QaHpQFU9Vcrm+wMeJywkxQX60Zbzaw3RFiovj5I/7xSHo8sF8GbLXASMW5ERbf/jmx\nsGSTWLw/Mj0+MOWOHMDZgsI6VuWOxerVPBc3ND8N+PuO4mQw1QKbLGVf0yxuMes1zmmAkTsr2dGI\nqJB+2ZBfv1B+g2MWWhbzTNljPz5g333EfLz7zJbQsU8DZaHte+fx7z5iUtJ2+JiIX7zQ03UI8/1Y\n4t99nBMOLfHNC+TmSv3on5C/OetMH6P3ed/PCYEZcxnw7+6xZz0p2nbEPO2RukKKGV1sDLJckDZL\nclMjvkAkkQsPxpI2C31G7IwqHhPm0mHvP85FioPGIa+/wb39oOI/IxhjuNievT/jBgO1Z5KJld9A\nqSjovFqQdxvs5fSZp5GLoB0Sawn//JM+O6dWeQZlQFZL/fmf3AvrFfG7N7o5I9g/vldLIAYz9soZ\nCEELgLpSt8/+qJyJotDxH+CGQV09gDhH/t1XKkI9nHAPe+xZwUOyamaEtX7m0nWarni9hfUaObcY\nEe1aLXV9Sdc7aEpdAzYb0s2VEg39XEDleWNOKvr8FLRkz+pMMkaU0yCi8KVLiwxRCwo32z6bGsVg\n/ytBadvNDJFBOyFtq86OttMxwjDM+GoDxzP246OOSaswj5SM3l/n9peUTfj/bUfhNxHgf4tXjJjL\noDdy22EsGB/I93u42n3216u3+V9Vys5CURL7AYqSom012GWYsMNIfG3w46Qt18IjRaEb7fVKHzI/\nJ6QVBbrx1/rvzukpj7mKHyJIQMoaNhsYCoXNxIFHP3LaVoTHezaDo8wF9Ilxs2KoStrrDcWUaS4d\nkzHQrCgmh7Uyzw7RRa/RkUWuAnIYERdIl57i3Y8MSQN76tWSdhz4+enAYlmzSEKeEuWkgB0jGT8M\n2G7E9mdKa5jyROngduyY6hKXzoT+QqCHL54RMnSv1qyCR/qC2pTYNDEWgct0wFcb3Hdf4UrPaX+E\nh5aUoTPQVIl0bvG+xN9UuP/8T3pKsg5/d8IVjdrlmgLnduQ8EIcJ342QBrahZhxGxuERe71jU6xZ\nvD9T/+9/R7IleSG4cwa3hqakxmOrGlcIvHpNzgPydI+pVnoaOx6h7wkJ8vWGiEGaUpHNocZKUqV9\nP2CfjsjVluws7nQifvtK7Z+nE9zc6Bz71AIGWa1IqxVSeuT5tS6uhaYDSl0zffNGN0BrMJN+V5gZ\nStMPYGsFAe0PM1FQ9P5LCffwCCioyf/Lj0hVgHP4jw/E22vy81s9TQ69xk6vV+RrDzdbHU00WsRK\nQjchIxiTVU643sF4AgRefq1iulU9xx0buPQ4MYob9hmbHLYKMCVkudDXImCcIV3tsKdWdTF1hVkt\nMT9/wIyTjrFTRM4XjUm2BtmsiLsNxjhk6NSudzhpR24Y4G6El8/I49xdGydM6ZG6VKdBFmVVdJ1C\nkMaR3DTYGDHGkZc1Mk3YmZQp3mGGiN0fye8eyK+e6Ym+9Jhv3kA3KpxpUN6CTJOmg146cjsgBqSp\nkaYmffNmzm+4zN/zpwjuTyCnSZ/duiQXQV0k/QB2jrter8k+YJwghXZN9CChCG/6DrqZZeKtUijP\nPeZ4UtbIyxvtNkpS0XNTY97eYX/8CXe6YKwj3WyJ//1f6f+7e9L3dO6RKmjI1wyzMndP0FTIs5t/\nh4X9/93rtwLg13ilpHnn3oEJCmuZEvhCGfNPj/rgLBt4N8GLG7K3iJnAZMRF3Dipkjw4JI+zh99i\nrSOtFnP7cd7c55MH6yX27lEFWfsTWcAOCWOs4k2thScVXKHptlArLjjazGE4k71wv8rsw0R5sfSL\nHS9tSYwXuhA5f/Ul9WDwOWHqklxXUDhyhmKaMCYznUboHdxuCeuGsipp7RkRQ357z1PlWU7gJBLP\nJ47XW8QljlMiy8SuUk1E7gfs+Yw1HtMEus2SKieuTSY6T/7qdxRNiT9c8PlCyj0Ps+4sDjWhKXAh\nk2xiYuTctxw2gb4fCH3GHhM+L4g47roOkZEXVU1JgS8sEmrNTIgJJGOd5erqJafTRz0pLhzj2DHK\nBWyNcxU5R14Vz9jlBefVmro3rP/zf8VHR8GZuCqR2mPLHb6uSFVBvt2S9wckT2QEc70lhYLwcMbc\nH5RV4B3mfCGGCm52gCifv/C6sNv5VC4Z65z+3AymqPAPj4hY8qtn5O0K+/bj7PMX8vVON4Ky+EU1\nbw1ps8HOjpHcLPU0ZkAX++EXS6EPWsTmBKCnzUJtf1JtMYczcnX9WVxmckI2W+02DL0q3ds5KMpb\n5PbZ5xGSmU+UZpyg0/Y6Q6WFhqtUJLhekZcr7KVXzUwZKG9fsT1mRu4wXWa9eqYAIm+AWSBbVhix\ncLPV+OtKOxC2qdWaOjjd1DCaZOg8lB6zWUHpMJNVoeAY9fUvGqSfkEtHvrnGVIrLpghzZ2IOQ4qT\n2gtPF7XyOUvcbZFljViP/7t/wmyW2NOF/EmEl8HmSG5bfdZXK918+1Fn9tkgRY3Ufm6tC5LW+l1Z\nR9pt1e0zjNqJ7Fr9GUOEOijdcBo0MbLroCnJz2/Jl4t2Krx2ofAW6UZs1pO93R/h/T2yqMnWqSMk\nRv05xmLffsAcTpiyxNw9kL77WiOjk0CccD8rJMuME1JVmE6zPvLNFbSDfp4xaverSdiuw/1x7vZY\nQz535G+/0Hs2q230s3ixLn8RNX5ygfx/cOzw2wjg13hNk7ZCzx2RxGNKHH3QWeBqge1n7roP2orv\nBmQ4KP99nMjHB7CCSSPZJG1NW0/arua4WYPUhYbFLBrMbqen1G7AXi6aMtf2mBz1pLFZwG6jbchx\nUu1kqMkAACAASURBVGtg3+tM7moLoeR9cGQZaAvhb/0ZYk3G0ZnMZnlDuyxo//JrQvDkp44yFwyT\nZYoD4h0iHjMJuZ8XVwfiS1rj6CeD7aHxge6w516Ec1nRx0T77JbhizfQLMiFYbSGoijpk55u4oe3\ndId7FT9dX2GfX5Gbmu67L4ldj/14h2n3cLzQ5oEo0F09p7Mlo7UELL10nJ/uGA6PTCTOvmNIA0NO\n0AnjoNHAy6LBVB7vDVXQk6JUC8zQI84xvnmOvblhUW8pXU1mJI4jUjoKX+KyoxwF51bYZ8+oqxvq\nDx3u4wnJhmwdtmowV1fYBBSe+PK5CgxvrknLkvzi2YywFegG/P6s+27wGGPIxig1TmZglAzK/i9L\nzVG4vyf2AxOWaDLhwz22CMqROLXI9Y58vUaqkrRZIt7rBv4JLQ3zRjEiVaUdJtDO1DRpR+F+j//j\nz9q6FVFBHagPXQR36VTcKVlji0tNY8QY8vNrnRsXfs6UmGfGZYBQzvZWr7yAssQ4r+mOixq6XmOh\nm1rRxasaKSqkcJ9n71QV2cBidcMybFnYFc6XsFlipqx/b6NoYjvOwT1Nre30ptYCqe11U3eWdL1T\nRb5HX08STFlif/gZezphLj157CCUyNUWWTfzmE9V8tI0SKmx1GZQj77tB+y5xXUDZhyww0h6doPt\nBsUnDKO23tsWEyNpvUK8R4ZRuwXDp/js2c9vDCYrbVEwmuIZgr6fq62OAarql1N7nC2cpQXjdfZ/\n6lSYqMEfmL7XQtNpAQNGx4rvPuLffsT+9H4eTeloRkCLh5TntajF/vgOExP23OEfD3AZyLe7+TNQ\nnYOdRxcgSFMhRYmME+zP+joyn2FHprso88CprsQMA/nls5mwOP0iaBzHzwmZyqYADhfM4Qgf7lXk\naO0v+OV/4+u3EcB/i5eziDE8XE70ISC1Y+gj12WN7UdsPyjzfoyYlHSTGSYoC5xANpbcOKhvmJov\ncG8/qBVnGBEsWI/cXuuDfjjqQxe0yrVv5zmpQdtxqYDzAOcRqWpw8yKwXpCLkiSJrnGE5Y7JjZj9\nkWwy0hRELE+l47QqcPbAagzUy4Y+ljAcMLnkMgprOdKZToWH0SKbGkmRMQniITrP4TgybF7wYf+z\nkuuWC+z1aza+ZmUcQYTgDClGLiQeObEdB1JTYI2FqSX+1ZdIe6b66QO8e4TLQN22dAvPYbcifv0N\nYyiYfEG0AZc6FoMhXkaO1nLeH5hSid3WBCBMLc4VYByhSgglOUemlHAuYF9eM12tMeMIecKFBNNI\nKD1OFiyKLSkNUM1K95uGZIPav5qK9IXDfP9H3GXEpsS028DrFwos6nvs+3tdmABe3yLnB8ylV9Ts\n1Q1RHP7+Xou1IiA3V0g3IoUFnzFDJB8PWCvk3ZJJXjBMHTZUMEz0w8Ci0AheE3st/CTrBtL3ejKc\n5kjiRa1hT8Og4U1JcxwQ9FS3P8Ew4u7ulVDnA/b9R+TFMzAzYrluiG8C5u4J8QH5i2+wH58wQ6cK\n9LJQC563sxhPcdDKCPAq8CtLVd33I9K2mAkIAfnuayh+xgwRjNWGRfgkMptwTwfM6YLzhlwtoC6w\nKZNq/SwQq9a+c6vFnShHQaYJub3CzCLb6a9+h7GG8PERdzppyNKq0o7eOKrdbpoUZZ01nliyBmfR\nDXDtoB21k7BS0FQWzSWgrmA56PM8qi3VCFrMVxUMnW5edU16+bV+PjM7wI69cjycg+1WLYJJsNMR\nigo2Cz0ZTwnbD8gUdc1YNsg4YbpOv8cy/FKUlfq6DBnOvX6m5VxYvH+AaUCaBlNoAeLiqB2N4DFP\nR8RZpTlKnLM5ggKPng7IYoF7POIvmpEQPnzA/KFU3oM4TMpa+Nw9kIPXEKhFjWk7skGhYoUn+zn7\ngqz3bzlTKr3VYrUI2oHqOuzhrJ2TVaNCx1IBU2Yc4PEBK3bWICQVMZb/vjkLvxUAv8bLOYgdk820\npTANkSJbpmWNTIm8a7Cdg6dO+e/b1cyav6giOUXCecDkTC4C7njRVqMFOV+Q5/PsK3htcbXdPG6o\nkXOr/uRuxCxq7JRIwWvXoCrobWRqGoRI4R3u0iGLJc4WOmoYIytaiqC2ruQb9rUwNYl+iJSSyFKQ\nsqEOntFmUnvkVArlKpCmgSwDPB7pI9SvvsLXFaMxTPnM0zDCoiJOI7bZsLY1IQojEztrKZqCTgas\nh+gCj6uCaRSSGKZ8omzvqN5+oPg/vsclj7SWoUk4W7DtR96VJb1rcJLx1tGWJeF8wpcNExemnKCN\n5EVAfMTVgVBusSJYInYRaFyhJ08y0zBijWBWJcSAjD0WgzhHcDvi6Y7Sl4htcL7CbnbMOnAVi91W\n9P/r/0z4/kckeNL1jvBso2z9STs2BI9xjvD9T+SFnk5NdmTvyf/hz8h/O2JPZ+LL55jvvsT1Hako\nsN2IaTtsWSBtD67HOKtZAN7NwJ1uVmh7pJk3sZNa3Ix1c/t6gXna4/7QYoxhen6NWdRacHxqqU5z\n986I3oshw3CZ264jxntt788cf7nZairgFMlfvNCN4XSCIenJa5qAOQcD9L/VQdMFP1nI2l51EEOP\niR45nBQolRKma9U6eHOtToV377F3D/r7MZhRSPW1tpaHAbEObEKeWi24E/o6vYEp4r7/AROFXBfQ\n1ISf36vS3lrM8cz4xSstaJLg+ota4mbxnusGBEFOZ+TNC82W8OjfmXT8J2mahZYOGe4RFzQSudDn\nMi+XmN2G5CymG5HdirxdYe6eMMsG83QiX06YUosZOewxL2+hcArqWlR6zw4D7NbkoYa7Bx1bXFrk\nJDD02P0JWTTk4GAUHTMag+SMfTxgp0SuA/nlrYaM5QybtTqXmgb5cI/JvXZd+qjCxUWjRFE3ahGZ\nBVM45HaH7M8AM7DMY9tROSTOkusec7ggf/6Nhnh1wywmTVgj5JsteT7Y2KKElIi319oFKArSy1vl\njZQlnHrcj38E43GTdhrk5lrdCNNMvXyacdaVVz7Jab7PnPu/Mw3+RNdvBcCv8fIeioJoRlxdkiUz\nAME3CuBqGrKpkYtDNvXc1nOYZak25eOI61uYBFsV2g60FqpaCYIYVWufLkgUZMqYUKhIdm7JmqbU\nKNyihLoknYVjVXI4P3Lp7gl5woeCq6rBTZHbm2sOU0caT/zNzXc8ji3SZvJYcZffsr90dM7zNGz5\nkkgpmb0RVvtHBiLpMjHWG8bG4u6eyP2Bwjc8fv/37F79Nf2HB+4uJ56mlni5kFYVu0vHuDmx2gvb\nj3eUaaBYOx6/eMW4WhGrCrNcUD+NnBlVgBcN+eme1k4UyVPSY2NJKix1KFnXDcHvNCvAJopgGG5q\nzHlPGR27feSyCPQfDizffMdi6XAUeBx1cCzWW1LXzhuV6OnMzmATAXt/wiDYc4tdrSnTklxYTKgo\nsWSS5geIEhGtM7BZE/+7/4CkSJjUL53HkTxOhKyxumKydobqUjfVEODUYodJT5BlwHYd6fFRW+XO\nAvOJdgbJ4By2KXHniSiG7Azh9hn56ajirhfPtFOUFJYjXast3/MZ/8PPmuJYVYS7B+J/+gsVYy0L\n3chPJ4UE+UDabbBdD+1ILtwvWGHvYFshh4u2pfdHbNeTN53SCOcOFln0/QkQgcIqKrcXWAoyRlWE\nfzpVY2F/wH64xz8cIU6kzQpzVJy2P5w1B+HcKyZ72WD6DhYz9GpKUHudeWMhjnr6k6zP2DDHGXcD\n7mxIi4W+trL87EQQEcwwalfHgH3Y68m57xXbPI9PTNsju7V26ZzV9rj3sFrraZ5Mrgry1UY1ECmR\ntluMtxqF/Or5rK8QPa03tXYTqwJiNXc95lCkDNQNcnuL9BdFD9flHMqUYbvUbtLjEffhDjuMijbu\nNHo8X2911DMJdopKC40jxjvs4aShWi5od8OqBiK9eY7LSeFJr5+Rr66VY9JPamHe7DCHA2y3mP2Z\n9MVL7D+qXdl6T3x+pdqIEOYCSdT6OU2YmJWVcjgipcdUFa6uZlR1qZ2Qqx3pZqfukHGCfQurCnPu\n9Ps6n1Tk2Q1I+jTWMjqqcLNWpVV3klJVJ+0WNM2/SxHwWwHwK72kKhFruBoyF2MYTWTtKjKJy+gp\npowNpS7+93tiYQjPbrEPR1z3ADgo0Lljnj3dzoGdF0cgMxPYsopuxFry7Q63P+tDmwTTjYSntyRb\nEHfXPHYXHtcFizGx6S9MuyuM93hjWa+X1EdLkU6U48jUwvvqLW0a6ZIhTj2P6YirNtwsDO17wW1W\ntPHEY5y4fXhLURU8ne/ZNFuMMWyxxMsTOfYMhSG3n5gxQkiJsH/E1huaywWxEd+vcP/8SPHX1wge\nf/0V5bqn6zND6pCUqcsVLjxSGqhzTVxV+N0Vl29f0lRLoCeGgHMFvnDEasf+qwj/8kcuq5KirinE\n4Pct8vWXlHnCOYcvGuI4YfqofIXRYPZ7yDAZQzZCkIhxgXaxxmRD3O4Ikqhc0Fm4MUgI+MMJ++6j\nnvrfPJ8FaIKMMPQXFTchuO2CcP+IMZ74bIftBj3FSiZvF/i3d7+Ao0R0NvrlUpXomxXy8IiMLclY\nrLGYoqLY1hTZaKTyuVfKX5ohVNbM2fVJW//9oPYxMZ9fo5mSgqCqEokWFgUcrf68mMlNpeLIUln2\nHC86s7ceaYfZeXDEzomC9tSRji1ms1ANSzunQjqjYVGfAmzEwvGCmfaazjdGJCfNgTDgPonVpox9\n+x5ub+DSYnrlR0ihmhpxHqkLxHqMtaTnV5iuBWZADmCaRrsm1mFSh5ntbTmOYJdqE3w6Qs6kZ9e4\nwwkTCuTpCfnyDenPv8X8/AGXNK7bpNkJESMyTGrtS0rUM0ZZD/L5pHzE9j15vVA75uGAvLyaN/0e\nVgtkynC1Rs7+F4GnRTf8ci6Ouk5HGc5iyvqzz19cgMZp5+TdHe7jnar682zrqyps15Jjoxtr6RC7\nUK2DVDq/fzhA6JVXECz5xQ0UJXmzIf/NFoybFf9eT9VlmImfgoyjvuftEllUjM92yhhZr4m//0oL\nn14FpiS954gRCW6GjzntdMxUR/EzYOrS6mhqWX0WO2oVZpGZi4Lzeq9nHXHhrY5HCq9aJTx0Zw0o\nmybVMUzp/2o3/BNevxUAv9LLZKH88EA+HChSZnr1JVJUGG/IUYiLgDuPhIOGwRT9iHn7iFhD3m6x\nbasVbk7EVy+UoNbMp7jDETNMmMez+qo/JahZC96TXj7DOIf9+QPu/QPiA5ZIPk7kbc0QhD5BLxfc\n4Sdumlt6t2GcBmQ8UQ8t/flCmGqu7JYn19PbJRNnMAu62GIPZ8wp8rHRBSiL0HUtYjs2bcJOR8L2\nlsoZpk1NvJxYTAkxjpCFITS88AXBWxKR6A12FM7RUhuPCw3ZOvrSUDqDFzCXTG969r/7K56nksUl\nMl1d0f0Pf01twJ/OpPdPupldrfHLHdFk2nFAKkd/vaD++EQYLRUlg6mIJpDrJcFbkMjUTZRBFxFz\nOGONYwqelCMmqf6in0bSCHa5JFcFYz9SWANNhXXq37cf7rWVHyP23Z22VHMmec80tFhjsE4YFiX2\n+ndAhrohHy+K6M3qk05ZhVIyTlhmwd2QMVXCZEe6uuZy+EmtYJNjcXCENM/jF/Vn5TdV9TnEh7pQ\nO59BFdVilETdDoibyHWBLCokzQl93sPVWhfbXpkW5v5RT4VNwKQ8q9iNaktKDxergVfzpkhAN8TC\nY/qEsYm83agafcZQkzNME+77P0BZffbi5zKQilIRujI7WNycYFjXupFj5hyBqAFO65XaDatCN9Rg\nMaGYo44LhSXFXiFMixo3JvKUVe0/jKTn14rd7npV+58nqJLO8e/uyV+8Qb4JyMMe++M77DQhZUBe\n3GIqh1SlBga9/4iNGTYr5PGR9PWXyM0Oc/+kNtyxx87sBOwMBDtd5nn6K80l6Hp1MazXuomdL9ru\n73v97FazONhZ/bwf9rBbYR/3uPunOSAsayfCzO4PH2bV/6xVePFCkxDHiPEzzAvlA9h+ULdIP+iG\nauxsYZ7ty/0IhYW7brY0O7INmBgR66EMTK+f63vyHkwF06xFqQMmiRaQn2BSnzQIVTEnJs6Y9Jlv\nQoz6e61RUmRSOmParTROuVoo2fJyBFNo4SpGi4fgVPw4jHBqtVAYe3C3WoSGP21Q0m8FwK/0sh/v\nCVIRVx7GiXCByzqAz2qbmzJhWZBzhbMTxipQwxSOfP1cMapjT9puYFmTF/XntpcZldduHDOu1CCL\nJWZTz9G/I3Lq9OFb1SCGLnkma0lMkCM+GIrLgUymTx3Vu5HLbWCSEw+9Q3yNMQErqhkcq0w7BoYu\nYc4PHHIJlScOujHl8yP/5C6shpJnVwte9BNSJYabDc1Nxd42mJ8OrG4rYqpYSsC9uKYqPLz9QFHV\n+BQYsqN9foWNmZwz1+uGlSuo2p5/loy4QF2UdP/j/8RT4fFOsxOGOOHePTAYCwnaj0fiasPUWw59\nR/BQXN9QnEfSyZKdxboK32XS8T1SGLi+VdEYmcIYqEtM3+POHWbqyU3B1CikJRfl7KAIuNUCEywS\nI845TP/Ep+Q2jNHWMQDzRuuMImynmZZmBUzQk+2lxZ1P2r059qSrtbaGjWdqAkYyf//o+emxYu0j\n/2lxIhceyREfYeJCYKHsd2MxT2fC4QmqmnS1QaprLQjOF9z3P0A3kDdL8nalp8NC29Oy3cAn++rd\noy7486kcb5TMl5KetpKASZj2qD+jXiAxI5ezbhpNg2lWMA3Yt3eYei4+PtyTvnitLenS6yY4ToB6\nOc3xAjlissOPHWmxwB5PSDBIU5MLi10siM5ixJCaSk+L44TZbTTM59iqcLYotD0eLQSPu3/ADBmi\nFhj55Y1qDlLSmX07YNKko4RLP0NuCljUSBTVTmwW+vktKhi086OBPw2EESkrHJbclPwUhTQmri49\niyKQd2vsxyct2AtHDg5zOuvGngQTJ/J/+QHWC2UiYHTE1/bqsAio8+FTnkAWTJq0pd0PmMJjTycl\nAKI2z1wE7Rqt12SSjkSMAxvACvmbLzBPT8gY8fsf5thmyOdOi7cYtZBsLzNrpNSxzjjANEc6x1G/\nPxISRx0NJA9EzMMJu1mQbpRYaJwDjDowdps5WEo7KTKNGOuQag6qMk7dI7OdmuVMG01Ji9Sygu1K\nX6sInM9a5Mr8XZWFjoNmAqvcPWKiQOE0VCqj957I55CoP8X1WwHwa7yGQQUtbY+vSigcoxf80hOj\nbgyBiKsM5jzhiqhW6lWlD7tkcl3qAhNmOpafK9NLC4tKF9CUoVlovvncRWW1ALOE1UR+fgP/W8sw\nTgw2MrzZ0e4cU3/iaihYnW+IMfJoJpr7fyQtv+R8bukvE5Mt8VWJDwZfr7gaHxgl4xeeoh8YJsfK\njEDPiY6Pqwuvjj1VnzjZidtnr7n+9neM/Rk7HLm+XlIvarxdYg1I50il6OJdf0P/3WuqNmIGIaQB\nc/gj5cLijzWp2HKMJ2IccU8j90+P3KyO9NtrxqKmNoGhm7CTZVk6KCyVKeiz4ThF+k64xI6NJPz1\nc8puxCSwl4nuw99SfHFFmiJjfyLsXmHyDHJZVPB4wLcXhmygFISMff2cIjlyypB7mnqhlqZZgJaX\nS7XIzVakvFnpBjL0+K4nWqun5WnCGwtE/bu8105P8YmuljHHE+lqpYt0jPwYV/zDtCQ7y+HioV3w\nHzcnrIhqAUBntaeBVBl81zOFmiAZ9/BEXC3U8fB3/6C42K7D7A/k1Zq8ajB1o6vh4QgYHUdcWshZ\nKXY5IWUJPiCDkvKkdorK3awVTPP4qKe/xUq1Ck01pw1b7WwMyhJw3Yi9/DMSHHm30cwMI7ppzHkW\nUlUqRoyRfL0hv3qugrTNBiSSjMO8vNGwH+N0M4gCaY4uLjXe13iDSJ4FY4/weJwhXAUmeNJmiU0J\nMUrKNPsTph+wlzlC11qd8zuP3MzshJSR2SGS7/e6EVqUzjf0ajm08OOx4xQzufAcTgO/90K4uSLv\nNnCnXnj3/Q9aVBmL7FZgFf4ln/DLdYHEpGyEqtT2f0yAhSrD6YQEj//DT5gpk66Uu2FmkZ6ZMunr\nN8jrW7XJPV3AJh0nVmpJdm8/6oaeI9JP+v8Kh6xrZf1/EhlOM+thUu0EoIWPC7Ol02vB4B2TjKTT\nE4sPGf90gTLgPj4yfflGRxZWPQgcDwq3Muj722q3Q+mUaBdgf8L9/B6DJb+8Jj+70jAs90kMPWIf\ntHuWjZuzKzI6Z3Kz9VG1NVSl/vcUdUQQp3nEmvWfP1Gg0W8FwK/tGkc9FVxvMfuDJpHFiP3yJcXl\ngF8sMFXAthkmJZbJoONP6kp9xFWtAqeg7TXpOthtmGIilRXZeMop4dcrzLpRIdJuo/O3jw/IstY/\nWxW0f/N7Dn/8Fx5t5D4caOKCkz+z3yesXFjJgs1Q87N9QM5vOTtBip7CbRgLhy0zNu5ZpI5lHBjD\nwK5aszQTJZ7R9yA9D2aCpaVMnsuyoXr+AncaoD+DG1ksrwhlReUWJEk89R19jsRpopkC1sDRTtTJ\nUA6P2NJRlA4jA+N4JuSR6xi55H7uCmbCFGkvPTEI3oFYT8ISMExVTZ8idhrxvkTiRDlF1nEiPz3S\nEDiiwKWSpPqJscPVNSGpcAhr4GaLqUtKUW6Sz7qg2OCQNGGbxczet7r5WqAsiF++wjwekaZQL/zh\nBMcLNkWqoiAGh6s3OGPmtmSp89z1GtNqzjsi5OsrPbFMI7Yp6S5QxAvtYgdGGMyCUNTEqsD2kaq8\nATGkbY3JqmeQLMgqYAa1Spkp6WY+w1vc8aTt3NOR/OwGVgtMTDpeSlHv6RzVe/+4xz0eVXzatZ/9\n53m3mlGuHjMm7KwFQIQ86wxErM6Zp6RBVAhSemy2qjmoC2VUFJ58s2V4cYN/OECKqhK3VoV0yxkT\nnAQT7C9Eu3HALBdAxkiCKSMieor+1N4dR0zK2kXzojP5olB+QNliu+FfUQ8LJE6YYSJ7Q24W8OxK\nN8NWaZvGKq/BFLOo8JNorqphiqTdjr67o0yRZAPj5cyJxJVz4A3+p/f6faQIriA3KjalKGcLL+AU\n8JSzMJoIYgnB4URUn1F4IKmQc9Tv2O8fiX/5Z+Sgo4HclMhygfnDz9BNyKbWjsinz+58gXOLPRx0\nXJAiud7BqpwZE4NaBu/3cNiT1ytSWWAd2rlKot9/8Npyx9GllsvlI74bKB5a/HKnSYvdOHe95lP2\nNH/mfrbzpRncE5T8RxGgCMpPQICE++Gt5jl8+/UMpPK6+S8WCik6X8idVZ2C9VBff4ZV4ayKK6eo\nhTXMkKlZZyNZC4s/wfVbAfBru2TG4fYjabMiYXUx6kesbxXwUqz05h9mH/btNVnmdt5uq2KWlLTC\nn1SxSwjEIiBNhfETQ1pgg8UUQefx+5OKgYzVbIAkIBN9KfivXtDdf+RpaDlPd3hzovG3mOtAaid6\nGsyr5+xcxMeRQylUZcnYNLh0YZEcFwoqa6jEUjzfsGoNpcvsy2uevX3ATy1ncYzPXnG9XrKI2oYr\nXcCaAOeO1RfPscmwHwae3IjETPu05/R0ZOtqxqYE21CVMDhhmjJlYTUrCY/zE9vCIWJo7ILhJPRp\nxIngKsfi2Sv8u/cEmVg3EcmZ/nBkI4k2BJrphOsTrja4aWKFowwRY43iY0OFMZ7ROawI3mQNXjmp\ndcwPg546Fguk67BlpW1tzEzhm9uHBshZT3KfWpCHk264hcd2PYUpYbHUe6aYF7thJL15Bv/ys26O\ntxvYbpCcsKcz7uGBL+n5l87TmQppKr5eRhbl1QxKOSiXPwSwBfbuCdKEPXfYTki3ugBLUSEhKJp2\nGHSBrwImzvdPWWghM/vrFVrvNfRv7gJwPGNPHbJbKtjlcCBvlxDmzdXOBZQxOlOua8wUSa7GXjps\nnDBisPuzRtTWhbZgl41uBKslsl4ylWGmC+rmIn2Pe3sH0wyBCXPRYIyejrtHTdmrCv0zhyPm1Gnh\ncLtT0WJdkr59hb0/IJKReqE6C+OQssA87LGfWtQpK4+/LnFG0dPmdFEhpTU6S/6kSSiDJuXd7ODm\nWhHBhwvFsyvGpyNuSri2Y+lEN5huYG6NaAo4GVkuFQm8WkIW/E8fcecLebVk/+WNrhcidFVgcX2t\n/24tHLK+N+fmhEYD2ZC/ea0Fy6XD/+0/4O8fFMi0XjL+/s/0dQSnQtDHJwUAWYspSmKpnce81oAy\nc/eEeXwEbzFPCbdcILu1FlJNo89AFZQ70o90hz1uHPVe9pbYXfDewWSVmSGiBcM4ZwNIgqJBR0/j\nHFakm/tnKFQoMPsDhAK3b0n3T8jt9hd3y9D/gqY2DmO9FoyXAdkVOlqaNJPj81hoUc9OAx0nkvLn\n8d2/9fVbAfBru5JoBG+KcBnhcsZM8+Y+CWytzuXOHZ+S1xgSOQRyFng6Y+sAGMynwI/lTE4Twfaj\nCsK80wCVc8beHzCLEpMSuSpmLKa252wJ4zhQ2pomnDkOLWczcl10nONKT+rNjqouubQ9p/xIO3lM\n6tnagkWx4ZwGjHieBVX8vrl+zbS1jLHFDw+Uv/uON+dntNOZMjRsc0Co8M6BWGJyiETSeIZomIZR\n0/9GIT8+MhqQMJJOZ4YXDY9mTRgP2sr1NeVqyVImzoWH8cyrNHFOkZQSlRSMJuks/9JzTSZUBfbx\nwM0f/sCDWLp+wN5u2ayXOHr8+hp3HvE2IN9+i4xHjLX46zfqoxfRU7OzmGVD9hbz4RFztVXh0v4B\ntlf/CmGLntjOF8idit+itrKtUR5AzgLrlX7fcdJff1oAywrzcMQcD+SrHen1cy0KULKeMQ46Dzaw\nXJT8L27PHy1sv7rl2emM+dhjxm4mSyosJRQ1OQ3IeokNjmwNebfVe6MMTL//Bnd/xIQw508ETWOs\nZmdKNL9EVjtV/Ytk9WMbA+2Asb36/o2FagG+0tTLacIeVA8gNze6KTSV4rGnkRQsdrvVZDwyRq5b\nkAAAIABJREFUEiem189w949qA9tuVIQ2TKr0P1/01znjv/9Ji+h+gJRJf/372UI2o7O90wLaenU1\neK+6AFNolK3zmOMJ9/4Od/9ItoYUCoj6/HCv1El59QJJEffTBwUdScZcOsLf/8OcmHmlnZ08CysL\nD3gtYIpCi4FhwATLV13io/NEa3nloExRP+dekM0K0/fIqSN7g6wXyLdfaUv+v/yB4sefISfcx3vq\n7kz/F99osfP9W1wIWOuJf/YFZCGvVrjDExhHXq/Jiwrz/p7wwx/h2GIvc1FjDTYmhRzdbhXwVJV6\neu57MA65XcFqTa68rls5Yx/36vJYf+qyZPJ6qULSLmKPZ+zPR6SpSL/7mvDhB1w3gXF0V0tCC7JZ\nk2422H5CCqc0y6aBh0cdDaUL7K500x9HzOMJ212QqibvVpi372Y0d0I2DZzHeU0VcumxMzI6Nzom\nZbXWjkQo9GSfotr+4vRLmqXkuevATBn80yGDfysAfm2XCLKskHYE02HPk3qIz636dJ9dKYCjmmEo\nk4ZpZEEreSMkcfhlheQ5ntWoujcAsR8wknEjxH+6wGVEIvjnCbtxOgcdxs+tLx8d06Gjb3sqsYRQ\n6M+uYOw7yvXXxNIwyZqT90w+EqcNLYF3/UeuG/D1jtclgFBMgcU+0l7tCMWS5BdMU8dQZYpySddN\nHKfIphS21lAmj3HqZ859j8eACdgJRBLXYukxxGGiNp5TTEwh0CxfIAtDCB5ipqgrVkVJtAuK0rMa\nEo8fnpBuJOSBIhhym5DCaPPj1FKNkWeLBYIwJSFebwlljxmjQnG2NzSbBcbsVHj0w1vsGMllIL55\nM5MVFYFq1kty6nRhmiby1OKsUytbN8D+oq37WYTGaW4nWw/PrjDEWaA2QrOYLVyqqLbHR9z7Oz1t\n3j8Sv3kD9ayOT1mFV7tZ3d32LJzjLxY9ySr/Xu1jAya1yHoJUTT42Ii2qENAlhUs1zN9coKyJL24\nxg0d5qyn+nx7Q35xqwKq7VLz7GPErBaYptGW+PGsOOlew2ywBrGOfL1RId/dWTdj9EQuXQ/rBXI+\na7hL0Hau7C+q1Aa9z50jrVcqPAszCjjNUKEskNEEzGOLVA6CxTpPck4xt/2gwUR9QsYRCRaSx3aD\n2rysBSkh9fD+I+7nO0A0TOmnt6Tn19j9Gf/ugzZwLi3x99+RF5W21aNg+hG52Sqtc38mLhq1usWk\nwKUYIQv2w0fkcFTkbF0jmyXPVhX2471GBsdEzoZ0c0V68Zyco1oet2sFIS0168NeLtqWtg4MhHag\nm0bs0xkzRFxR6e97/0Cua9JXL8mnJebS6SjHOtzj08xdcJhPrP6mVC1HXcC+VZtxzuSigMUSEzwy\nRWRZYXwBkrAf9joWz5BPZ1itSOslxmtnyMRBAT3GaIfkh59Y55quVndIg4e//pZps9Y45KGH6FW/\nUBaw25GnhPgMNmFDwD4ecW/faZF6bkkPj6TbK6TuwNVoSIKFp71apkXImzmmuZ4dMAJE1dtgGi0O\nq1o/U5hzUezctUvKpVh9shn+21+/FQC/skuMJRH0FJVPmKLGOodI0rbkTDYDUQZ5EZFWFcMmJfq+\n5zQNhO7CYkpU2YMZwC7wAvYSEVuS3vXkLmMKgyRD7j32ag518R6Kiny5MD0cWbcT9ziK1ZZ1hmM2\nRFuzqYVDGmiPI25qMcUNT6OjxvBh/Eim0JOliTx/9i237w6485mif2JyP9J99Rp/vSaHBSkn7tsT\n+9gRkvB/svfmsLZtZ73nbzSzXe3uT3s7N2Ao61VhKiEtAiKERCMhERgRApYICBAJEgIJyUhIiIiQ\nDAKaABFWgighVVCYMjbPvv3pdru62Y/mBd/Y50IBVcl718blKR3dc89ea+255hxzfN2/GdoDXbYC\nDcYGHmQa0w80wYGqyfqJjYHSWo77CZ0XxNJSGMXkR2xp8dbig8xVASwizGO0Zgg9hVH0scUoy5AZ\nzFLDIQmymCj+7kSU0Zgsx1lLOJqDj1hboJJSHW4S2t6hJ3jRQTfZS9RpMq3RSpzVlPpkEz00UM7l\n71Oak5tk+NIncFXbvRazUUaLDHNRom5uBVyXZcR+QN9uUrtR3OL0viMskoZ+TBuUNUSjMduGaAzu\n0cVrcSKMJoaAur6T2WddE+pCEpduEECeiiKMo1Nb1U3o954JZXK5hMoSL9IoYRxhexAxlsmL4IzR\nIgL0zlPUx6/k9x4vwaVOyWoNZQJVmZx4lDoFixmxrCUQXl3L+4aJUBXoroMAfj6Dy2tJFAKyQZcl\nHHaY//t9kUVWwPERsRZzrWgswUbpLMxq2MgjRVlKtTd5VFQinNN0iT7Zo33qkLsR5YJYbLcjbj7D\nvLx+zWzQl7dwdox/+23ix88xry7l39sev1wS5yaB9SysS8L1FeqAMD402A+ey2dZTVjO8Z9/G/Ps\nlbSd1xX60OJnleB+rJZkZz5LyPoWlMIdr7BaCf3RGNSswg6Ca6kCIjdshTFBZoQPv1gRq0oC4DjJ\nXuA9ZDlhLip9Uef4hw8IRSH3q5LnKx6v8KdrYSDYHLWeyXppZUYf6wplrCSAjy4wRycQtDgp3uy4\n5/OjM+gdpsiZnz8W8bLM4s6OUd0gLCXFJ2ZJQCyyJKglmIQwduIpoVQCZe4wxhIflmKL7ZSsq6MF\nXN7CImn7N7185jAlPQURryJLan9FLomrlaSKrksg64TDCeFTpQJ+PwH4HjtC0BBycD1xdiztMx2F\nK11XsujGkB5c2Y3U+Ro1BuKoaP1AHhT24OhUJC9ydBzgeEnYd2ACepwIBsLoMWVFqBRq3OPzxBzQ\nQJHhnl2jrGEicjKNdNmaaFbkWYe2GXc9LPqJ6tAwekfkBSZfswsjzeBZFHMwoK2mm0b83V6U60bP\nQnn6uz1u3OPO5zhtGIKiD4ZeGdpJcRV7TlZzMp8z7Ha8M5sTbjuK/Y5lcFQ6p14eo+oePZuhq5oe\nqKeRfnJ4PIV26BZ49zllUOiqJH7uIXOlKVYzSt3SR41Thmpd4tY5ehqIn3tEeHUNtztiqXGfeYSO\nUfT9i0zGNM4lKpFD3+5QbYOZHGGxFKEUv5SghmyOceNQt1u01aibFmqXWvkyK4yT+DqgBU8QC+nW\nxL4hrJMCWj+JFn6WQVSy2eYW0/aCG4hBAHVF8RpUhlJws0PlGeHRhcxox4l4cULY7FB3LdpNYrQT\nPDGvJGjHiIpRxhA3G3Dg3noinzcFlJLkCAW0I6rp0O4g9LCmlzHI0UI6DIcGEABfPDmSNnA3Jb0C\nI2C5zhPWa0lwlIjXhCwjDj2qbTG3WyJIm9uAW6+lgux7VD9+or4XJuI0oa62yRxIyzhssyE8OEft\nD5IAfPYtVFFI9VxkqOOVXMNpkhFMkoxVmczn1aGFzBKOjzGXd6jLG8mhlhXZoUHlRoRpTJonlxUq\nutfKddgJdWjRr24Yv/TDEmRdotMVpfxdIa3rMSkeBoO+2eCu7wjGoqpMXlOVYs99bwPeT4L1SaMN\njCEerxi/8Dnst94nzGvwgdJDXJ3AcAVuIJQz4ejHAO0BJg21leSzHcQIb3Ao1+NnNdN/+YLcx76X\nboS1MPTE8xOxLc7yJCIWiMoKODG3EmidT52ZFCSbg4xdqpKwqDDvd5LA4AnLGRGwl7fETOOfPBLs\nzOhEBEojnZ4iT/oRJOCrkn9HS/fluZMRQz8Qj2rRu8hy4vEaTI7+8Dn6+opoFeHsDF9ovGrA5KjR\nY7O5VPY64XS0kag7phFAlvQEYkL9f0oGQffH9xOA77FDYQiFQRkFGYwhUBzuiHVBPD9G2yRk4gTZ\nSy7AFNMP+GFCb+8wykpwyDRKK8KkRBI2pPdlBv0gwzoj7U3rUCclFJWgk6uKWFioMhSKyXum3qH2\nE6E0xPIBmILeb2HTU2IooiPTJW8Yw+3xiWBo9IgtNUWZcdoa6tHTx8A1GcshsDQBQsZl6+htICot\nc+KgaJVIfx7GnmmMHBtNR0Y5aPwQyG7uWDcH1PkJ09ES37SYbqLG4xYzigAmeLIJ4nZHPk5YW5Cp\nSHhxR3znKWHfk2cF3mvmpYCjYlli1jUA4+MH8PAM5xyTUujgCf1AMUlCBsg17VvCvMRcXolyW4j4\nR2epsp9QTSOiYzGTebwyqNKgti0halRzkNb2XNrBHB9B2xHrQjbK+4qkHwSB3Q/y+4MXHMfFqczO\n255wfJq08kd5j0oBwTvYbiQhsJlU36ND73bYb34L1Xb4iwciQxum17xsPfTynszIekvIfIIjjE70\n7otMNtWYdGLyXGbBmVhFM0zS6jZGAm4mAEtyQAk1zL64xNxuIcvw52tCURKMem28Yp9dwdiBjwTv\niBfnxGaAI8GsqBCSSl0hroL3RjY6ofyHUYJmlhGKQkYdp+uEFtdw1xG9jElUlScXOKHHMZ9JorFa\nobY7ojW4xxfYcUwAs1zO++E55qMXECN+WUngu93IiEdroXPeV9J1iXKR2HbJ7vZO7l+ZJUBbCjYI\nmMzc3on07RSgzvAPkvBMiBAmqHMJSJOXZKDO5ed1iX/zkWCLtBJfg/M5rnqKskrWgtVyH/YH9O01\n3BrCxRGUOWa7I+Y5cTEjFFYocIs5+p62VwvtMSotwMvNDmUzAW665NI4OfzpEfp2K49MVUgnLKZO\n5+EAwTOdHwsdtVrI/uMm3MNzOb9lnVryUVT+kmNG37wg1jkKhZmtMSYnWouOEdYG95m30JuNrDub\nEl+PnPfhgD5sZPSkwNzeMp4XUnR1A6gdYXmBXq0lyB96MFFwO1kmOACUCCl5J2vtU1YD/H4C8D12\naCuFTBij6JPPMkJ1CrlBZ0meUmmyb/xXGB3TD302BYgBoxWLYOgUuExTtwOwJ9vuUe99SKwypsU5\nIRRQGezbQZDoLs39FSKkUSMPzKJGXR0oCaiyItYrRjuh6owOxbE9xRTXFF3A+YI8TOi1x2aWN88e\nMTJS1J7HjWK6vuGj2rDY9hQqpz09pvU9Q6Fxk6G83sDHL5hFw+bhkqHS7NqeqViS6Yyqy+hHRTlq\nqrbDR8iCIR5auvWc+nZDmNXocaRsG+znPkM/tUzBJZ0cIwSgNN91zkGmGMMS7IAxFt17io8+whII\nZ2vRQVCKcXTYgOiuuwGfK3nwYtpwR2FcxBjBGNzpkWwIfkJtB9kotUa34nZI7zB3O2LfYz96Rlgs\niEWOryqZnWsNBOiC/PfesUwp1NjCxRk0LTHLZabsIZycwjmo7R798ko27eVcxIKGEXZ7QgDVNcTZ\nTOReb7dkHzxPjA+wH36M369QdU5YH4nwS0iUOJvJ6+43OpvBoiYcLcVPoCyE9nezkSxgMSdYK4ls\nOxAPQ1Jfk/eqmSLOkKTm0GIurxMFzGFuNvj/+QtS1fuA2uzT0yHVl1KWmFmUCa8BdDFEAWG5CZoB\nipp4tCTcbYTTrzXhSdLJ3zfCzvAebCXjg2mSYHW8lsRhlkyA7sGEQVD2qspRh5bw6Jyw3aEP0m6P\nyxlhtRBHzjG1xfcHwSAs5vKZxoJS+KM1pG6CihH14hL76hpiwGwi0+ffYTo9xlwJqj4MI2rXiQlN\nWeCePBD8h/OCyYhaAto9Jmgprn60nYxXIvJsTxNhdSabTPDErIB5IRihtsM+eyUjiNGh2wPhzSfo\n5DWB9+jWEY4hholorXRpvEveEKnVPqtlrb/7kWBlqlLm6ioSsqT8B1L5ay3UwUMj/x+8MEFcD60I\nB6m6gmJG3O4EZOijAAkmx5SUFVWX3B3zCaUqlM7QRkMc4fRIhJZWS8yHLwRY+uBEdPxtJq17awTg\nWQpYVXct9qNrYpGjb0biZ6ysd4UwIpxPySXyxyeWyb3nyqd4fD8B+F47sgQmLbTo9kcFOslROtmI\ni//9/8C+9wwUmJs7+v/tx5IYh6FoR6zzUC5RdpTsN0xJ+CdiQkOYZVBOgob10s6lzBOlCMI0EZoW\nbWf4dUYsHEUoiIVhnStyU3CwlnEGyi+p3/2QajNAbbm5UzwennOoLdln3+HR6Sm8+q+M0442m9Gc\nLrlYnJBXAZsteeUPDN2e8/efcx5z9n7EvNzw6p1Tch3oxpaSFStdM5Hh56foq2vyopKKLcupMExa\nCfuhyiWotAeyIscPI2ZyqNGhfCBkEZ5cMI4DbnSovCCyAK3Irj4SvOTkMC+vxXDFGmkhOiccbZOJ\n9nyWCco9OHAj5pvvivyyEpvS6eG5VKNtL5XYIIj4UCxE49/a11xlNfZQFejN/nWr9rVZiUmz8JAE\nagqpcOPRUgCbEWj26I+viZlCzSvIS4EEXF4K6GqU+x/rihgVuj1gvvEtEUpJP0MbFBOsl1Dn0u04\nf4CvSsy+gTolKMMgG15ZEutaEp/FXNgmGnxdCtityqQF/uIl+vYOjBWQ4KMzCTi5TUj9208oW/cV\nVJ5LS7woYfDEmSjUqTwHg2i+F+I2GbWGfIYySUKYSDRKkpDjY4ISDITqxGGSfhSjq1w6FsDrBFqc\n5KKM1zIr44b0mebFJXq3A2MIVYlpR+Kbj/F3e5hV+ItTokaAnWkcEdpGdAZsjvvcmyJ6dHosgECV\nRGsA3fcSyIOSrlvfE954hDtZC6Xw3Q8l2QwZsXcymhidBNNZJcA/F2Tdj8nQx2jBDxytUIdGmEJv\nXEjnJ9mBMxc3QsYJuhHVJiGiPEvI/IFwfIQ+7CUBWq9gXqCKinhWyLy8HYjLWZL0nYhlhnl1g2p7\n1M0txjl8WRHOj6UD0neSEHsnCe7hkLT3tRjsdD2xKtGTh/1OpmOzUjoUIQituWmluxYiencnglRW\nE84j+tGR3Mu6ShTA1BUaHfHhRUqYSGMSRew6zO5AnM1x75yjTRD9jdygnEcXlni3IZSldHqmSaSW\nZ5UoChrp/lB+esC/f3l8PwH4XjuMlgxAe0FmjxNjiMQiIzMRlReYu51k5S6grm6YRod2Hnt7B/sR\ns6qJyhFQKB0SkMzLQ6S0JAQ2E8qRttC1r1u7U2k4oBimQLYfmRVzrO7w44iOJXNjyNBUVc4wetzH\n76P3Hq0datfz8AYOi8hx6Mk+eJ+ijmwuP2bRT2T6wN3xCrU+hipnvHohFXmMTCGnCYpq9KAcBZ4B\nxdxEFpNH2UhhFFkW6J+eU7Z3hBwoa6b1ktFEcu8xPmKMEVvUEKh2Hcop1OkJYZiITy9EFGXXoKzC\nWosLHl9UqGEkGwasc/giE0MVImWW4W42YAx5XWJmyb98GiUxsEaQ0AvRftddhwrCE47Oi9NYDFJx\nLeeERwa13aKuvSjmGQ2bHfE8zV5f7yM2JRhOkMh5cjarBIxFmUHTkH3jfZQbxU52vSI8OocYsS+u\nYVahDw3+/FjYJG0jRjmz+WsMoAqA1vjVItmd1sSmQd/cpu7Ckrheoz9+LnawRuMfPYDlQkYXZRJg\nSTzyeHr0utrV2x1EAzFi7jZiClOlscbNLew2ECLTckG23ROrCvcDb0lgbzuIE6rM8I8uMP0g9rGL\nuQSvQAJUtkCEzid9fzGywXpJrO52EpB6Gcf4t58I08CZRPEzEnimpJKnNOb9j1G7Bne0xBwtUMFL\noOld6pgEeW9mpJsyqwVnsFrA3KGev0KPI8oYoraEGOFomQRkBmIjc2kyTZjX6H0j1E3nJTn0XsCZ\nVU08OxZXPhUl0Iz3rIQg18gYSQLy4pMqdBBBMfveR3LeKYn19UyCYvJNoEnSt2UmOIiY1Apnc8Lj\nC8yzV4TFDF5eEY1C+aTzYDPiLCUe+E+0DMoCNhsxBBqn11x8vdsRrJV9q+nlOzov2hl6SjN2RYwO\nPvyIEDW2G6Hp8Ecr0QoIDrTQl6kK7HbEHSYoIsrnlNc98ahPFf29KE/CIFhDKK1gK1AyJnh5K8wD\nbVD7HebjV6gnD4lHp+guikU1Spw5I0nRUn0yEpvNBHhZ5N+R4J92iO8f3wtHjJEheZsXxqCGEZUb\numHCK0UsDGHbMX/3maDJXSBo2M2PGW5b1G5HNSvJSkPsRyhqjPGExVzm/8YR61qy9XmdwCtpE8kL\nUPIQjl2LjxHretQw4ppLZtqCCai5gZmhLsUMpjEjNwwYPTBoh5nAR+FmEwMHD9PVDaqe4e1I6A5U\nmcXZhuHFLX0bKX3GLkSus4yzHaDmvHvkaENDCBYT56BH1ipyXEamQw+VY5jP8esAxQJtLdqssB4y\nNxEvjlE+QtOg73boWQVJbMdpjUFh+47JFpjgWZqMQnmyqsI0rRjw1BU2eOjE57zYHqSLcmjx7zwF\nArhB5q0uiHmLc1CXxKoQBb9BZsTxeJXc9Cb5rwrigT7KBhytJmojreKul8rQWBhaVJ5U1HoPRwCa\n2DQiAjSvUC+vBKTmFMrmouXuo4idLGrBBmiN2RzwVSEGOR7RWVcyl3b/5QuorkMNI9pH4iAVqdk3\nRJsR1Az1wcfYF1eyXpyMPPxn30yt5tSK7rrEetApQbGpgxUF/AciNBQCTEmjPSLBZDFnPDkmPjqX\nzkDXo/pBKI8nBXGa8FNIdrVWgmGI0IAKQVq6eZZ+n0Jt95JkLBew3ctIyxi5rvfUWCttW5Usl1UI\nRKUw3/5AqGgR7OUV8fYuBa5WEODZEXE1lyBdFqjCEvuOuBCrXP38Ft2LxK3a7vB5LkyKXSMmXEoc\n5JRScg+ePsLNZ6h+JNx7SDhPHL0YeJ2dELkTJsfFKfqjF+imk7HR0fK1xgcoCUohEEbQ/UHYQ5NH\nWyMVO1GCcmbxXQcqYpN9tH/8QEYamcE/fAh1zfSDb6P/+X1slWMGR3z5EmcVnJ8lSusAwSTmhWBV\nQl0QrveiAWUsJsvIpin5ASDPTh9gXsm5zuZy/zJNyCp4dQUx0peG0iP3M3jUqw1ERSgzgi3RhaPy\nObFTqLIkmoAfJmgaeYbuTc66mNack65XevZU38lrmhatkmT15iDS2WuxqA65EdAqab11vQB761lq\n+3/6c/9/eXw/AfgeOVrnZENIf581Debr36JoOshz2v/pB8g/fgEh4N95Svz4BV0xxz9+hO1ass0W\nX5VkJLDKETB61GKOe3Ke0OoJfVuVqZV1EN96k+RkddogdzuxhiVgtEEVVlqQyoPKIAYB3aqC/I1H\nuJsbQpthZhnVzGCHlk1msW89oBtusQxoqyiyEjM/Ybwe2O0cfYRsyjCdYT8/4+ZUsbaOLM8o1TUW\nWIaJh1UpqG/lcWqL0YFpnODgyakIMaJNRjhbMnY9WZekVpVGxyBUHoA8w5QljD15OSOvStnwidht\ni84VcVbhs4XMs+9bwuOIslqq3CKTSUldizBNATAxfe4t7PWt7DOfeQuUxQQvIiVKSZUaY7LlRXjm\ni5lwwbvuNcBJNi3R9lfeweDRt7cirEPiwRPA7QTZnGvpMiBt0LhaEI4X6GkSEamET1Baoz9+Rahq\n1M2dzIBXC8LRMdicuMygH3CZRU8iX0s/SkXok+Kf0TKGQIni2777BAmtlFxzEubg9BgGRzg5wry8\nJAaPXyxE3W4cxdI3AQyV7+U6zQsJws6n4JqL21zTYbZ7WbdWE3wQ+9YY0Ztbsnc/hskTZhX+8QP5\nfCS4MrgkRmRENjumVq0L4kngg3yvWSXfdxTBIHyUZyRGolWoMeLT9wx4EeKJEV3VUBeobiSencJ6\nJclDiJIwKE30jmgqafVv9zLOW66kG1BVqBAIqxWsgP0htd97lJuIaiag3Acyt6dv0Z3gMFT0mM1O\nAKcKSVLaFoYJfX31CRuhUFAU4osQgXFiwhOMQuvIlFuyCJwe4c/PBE8wDDIKUUqSaS0jGpWV6HHE\nk/AgRbqeJo10+g0UNf3jB6hVg548zmZwOpe15BJIMdfyO6oK5jVRy+/xRY6ZL6Dt0HWNUwHmC/Tl\nVUp0lEgBFwVmtxWb4t7DMOK+8NkEhJxeCwFJmygle9ZI4qh1cibMEsZSKvw4n4MR861wcSrYiqqQ\n9xRF8reoJdGJKZEaBkmKl8tPKVL86+O7LgH4+te/zle/+lX+8R//Ea01P/IjP8Jv/MZv8PTpU549\ne8ZP/MRP/Jv3eO/50pe+xJ/8yZ98B874O3/EEIjjIJt18MIl//ClKG/5QBxGUfQaJ/Ghtpbw5hPR\nFm8d5uoa1bYy/80McZZJoM8yqbrqKtGFgribXd2J+tndRvQrxhGWaziaU7mIN4YJQ6Y9uVViTxoM\njL2If7iEANeW+uln6RY1/nbHlBfchRpzGFFlQbbSZMHAM4fd7mC5QOcV+22DbiBX0ATHFAzaFmg8\nuzByphyPYkZQgdIWRNeRK9BVTu5yhq4n8wr77ee48Rnq5Jj8Sz+I3XXQNkIBc4LGD48v0F1HnFWw\nXIjmuq3Ji5zQD7LRNDLXji4khzGI90FNwethsRUt+Eiaz5eFbDh5DsYwnZ8wtTISiJMjlvm/eEC9\nfN44JcBZkT47ta37JEGq0nwWiCZHtzcyS5+cCMC4CTWfp2A8EBcL3MNzCbKlwj86h31DSDNQ8+IK\nNauIWmOi0AT96Qn4Cf+Zt4jnJ9B36F2yiB16QUnPS+kkxSja+m8+xnztn+U7+IlwdCab5e6AubyR\njsDFCTw4F7OdgwDgwklSg1MGjBb2QttJ67hOvOnoRQnQaPkzDhIktwehuXot1+heOrcsBasQI/af\nviWXV4PeH/DOy+/S8XX7ObzxlNgeUO1AWC8koSmNgPyajpgbAfqNk1SiwaOaQ+LF18Sikq6On6Dt\nxBa4Gwm5lXHdzUbyjWeIII33mEMnTAcF4fE5Sht4din3NyqpNutSnk8XUE78DtjupJNhDGpyMobq\nG1kbzQHVIeM6UrI+L9KaSsqgPgrmwvXgI341QyuFX6ylE2VFntj3ouoXR0csM2IxRx0Owh4oEoMg\nqjTSWRG3GzEX8p7w4CLNve/tkdMMfBTr6Gg1QRv0cikdiinhEtpWlC7rQu4RCUsTFNRz4n4nirzn\nx6jrjTCfHpxh7zbYD5/j12vigxP5DnkOo1Bu41phApKM+CmBHAP3JkwMSWsDLYlHP6Ll8x6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GiCS0IkQ4vKc4J3+GgwNgGwFrMUJHrZvEIk9D3m3Q9k05kVEvi9+oR/neXozV4U2rI8qeI1UFbE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HBwe8R4UwqoMoZxTjf//QHOV+QmYMZIPl8jV5dK0TtdkVY3mCliX32FOKvjDgNS1WqXWs6Q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\ns6GXE93pFhdaxmHE1Zc00+qzLHXZQ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pKg8+hujztNVlTaGrc/olVp++04WDrkemWGR5qs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\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jXN3KNnm7lcVtVkkQaqXAxlhMlWPf+0hqe5/cAsNJ739eJSFZht0dVIx1Peb9T+DxuX7G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\nSMC+OyGXW2S5RDLB/fZbBqB3li7sieuawmeYfcAmh/WOYBJhHBHjyRC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PuCow40T8AIkZ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\nlhCW+6Gvum8hojSVsUzXsLsn8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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": 32, "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": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "35223 sources flagged.\n" ] } ], "source": [ "GAIA_FLAG_NAME = \"des_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": 34, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.write(\"{}/DES.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 }