{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# XMM-13hr master catalogue\n", "## Preparation of Legacy Survey data\n", "\n", "The catalogue comes from `dmu0_LegacySurvey`.\n", "\n", "In the catalogue, we keep:\n", "\n", "- The identifier (it's unique in the catalogue);\n", "- The position;\n", "- The stellarity;\n", "- The aperture fluxes. Are these aperture corrected?\n", "- The kron magnitude to be used as total magnitude (no “auto” magnitude is provided).\n", "\n", "We don't know when the maps have been observed. We will use the year of the reference paper." ] }, { "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", "2018-05-01 13:41:48.996404\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", "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, flux_to_mag" ] }, { "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 = \"legacy_ra\"\n", "DEC_COL = \"legacy_dec\"" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Pritine LS catalogue\n", "orig_legacy = Table.read(\"../../dmu0/dmu0_LegacySurvey/data/LegacySurvey-dr4_XMM-13hr.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": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: invalid value encountered in log10\n", " magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: divide by zero encountered in log10\n", " magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:80: RuntimeWarning: invalid value encountered in double_scalars\n", " errors = 2.5 / np.log(10) * errors_on_fluxes / fluxes\n" ] } ], "source": [ "bands = [\"g\", \"r\", \"z\"]\n", "apertures = [0, 1, 2, 3, 4, 5, 6, 7] \n", "aperture_sizes = [0.5, 0.75, 1.0, 1.5, 2.0, 3.5, 5.0, 7.0] #arcsec aperture sizes\n", "\n", "flux = {}\n", "flux_errors ={}\n", "magnitudes = {}\n", "flux_errors ={}\n", "magnitude_errors = {}\n", "stellarities = {}\n", "\n", "flux_to_mag_vect = np.vectorize(flux_to_mag)\n", "\n", "for band in bands:\n", " flux[band] = np.transpose(np.array( orig_legacy[\"apflux_{}\".format(band)], dtype=np.float )) \n", " flux_errors[band] = np.transpose(np.array( orig_legacy[\"apflux_ivar_{}\".format(band)], dtype=np.float ))\n", " \n", " magnitudes[band], magnitude_errors[band] = flux_to_mag_vect(flux[band] * 3.631e-6 ,flux_errors[band] * 3.631e-6)\n", " \n", " stellarities[band] = np.full(len(orig_legacy),0., dtype='float32')\n", " stellarities[band][orig_legacy[\"type\"] == \"PSF\" ] = 1.\n", " stellarities[band][orig_legacy[\"type\"] == \"PSF \" ] = 1.\n", " \n", " # Some sources have an infinite magnitude\n", " mask = np.isinf(magnitudes[band])\n", " magnitudes[band][mask] = np.nan\n", " magnitude_errors[band][mask] = np.nan\n", " \n", "\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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hP/8E07MfpkUaxhiv44mIBIRfZ3B69+6N88tuxjfddBPbtm3jo48+ol+/fgEJ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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 4 as target (no correction)." ] }, { "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(magnitudes['g'][4], \n", " magnitudes['g'][4], \n", " stellarities['g'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use magnitudes between 17.0 and 18.5" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for g band:\n", "Correction: 0.0\n", "Number of source used: 177\n", "RMS: 0.0\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['g'], num, std = aperture_correction(\n", " magnitudes['g'][4], magnitudes['g'][4], \n", " stellarities['g'],\n", " mag_min=17.0, mag_max=18.5)\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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NOUUksgVUcHr06IGz9/bwN9xwA+vXr2f58uX07t07KOFEpGSYuifi3DcGc80t\n8ONa3GG34742Dbsz3+toIiJBEdApqnr16hX+uUaNGtx///0lHkhEgsM4Pky7i7Cnnol99QXsO3Ow\nn32Ic1UvaHaGTluJSEQJ+D44v/32Gz/99BP5+UX/za9NmzYlFkpEgsdUqoK58V/YtufhvjwRd8Io\nOLkZTrdbMNWKdwMtEZFwF1DBycrKYs6cOaSmplK2bNnCx40xKjgipYyp3xBnyFjsB29j33gJ94Hb\nMOd3wVx4BSY21ut4IiLHJKCC89ZbbzFq1ChSU1ODlUdEQsj4fJiMztgWbbCvTsW+/Qr204U43Xpj\nmpzmdTwRkaMW0CLjChUqULVq1WBlERGPmCqJOL3uwrl7BJSNxR33EHuefhD7269eRxMROSoBX0U1\nadIk1q1bR05OTpH/iEjpZ044BWfok5iuPWHNV7iZt+HOnYndvcvraCIiAQnoFFVBQQGrVq1i8eLF\nB/1s1qxZJRZKRLxjYmIw51+GbdnWf9rqzZexnyzwL0I+5VSv44mIFEtABWfy5Ml069aNM888s8gi\nYxGJPCYxGdN7ILbNubgzJuE+NQyano5zdS9M0nFexxMR+UcBnaJyXZd27doRFxeH4zhF/iMikck0\nbIqT+RSmy/XwzRe4Q/vivv0Kdvdur6OJiBxWQM3k4osv5vXXX8daG6w8IhKGTEwZnAu74gx/Bhqd\nin39Rdxht2O/+cLraCIihxTQKap33nmHrVu3kpWVRYUKFYr8bMKECSUaTETCj0mqiq/PYOzXy3Ff\nnoQ7NhNz6pkU9OiHjS2vuyGLSNgIqOD0798/WDlEpBQxjU7FGTYO+14Wdt5scvtfA+XioVYdTK30\nvf9dB2qkYcqU8TquiEShgApOw4YNg5VDREoZU6YsptNV2DPaU/6n79j+7VfYX37Afvxf2JmPBfD5\noEYtf9mplb73v+tgylf0Or6IRLiA96ISETmQSapK/Akn8VfzMwGwrgu//Yr9+Qf45QfsL+ux33wJ\nn3xA4eq9xKqFR3tMrTqQlg5Jx+kUl4iUGBUcESlRxnGgWk3/xp0t9+9RZ3/fAr/8iP3lB/hlvb/4\nrFqGta7/CeXK7z+1ta/41KyFidEpLhEJnAqOiISEqZQAJydgTm5W+JjduRM2/lS09Hz0PuzaufcU\nV8z+U1xpe9f3pNbBlK9w2M8REQEVHBHxkImNhToNMHUaFD5m3T2w+de9pWffKa4v4JMF+09xJR1X\neLRn36IVnBjvAAAgAElEQVRmneISkQMFVHC2b9/Om2++yU8//UR+fn6Rnw0bNqxEg4lIdDKOD6qn\nYKqnQMu2hY/bbVsKj/IUFp8vP99/X6748kUXMtdKhxqpOsUlEqUCKjhPPvkkBQUFnHHGGdqqQURC\nylROgMoJmEbNCx+zO/Phfz8VLT2L3it6iqtmrQMuXU+HWrUx8TrFJRLpAio43333HZMnT6aM7msh\nImHAxMZB+gmY9BMKH7PuHvi/TQes6/kB+9UyWDL/b6e4/Ed7TJp/UTOJVXWKSySCBFRw0tLSyM3N\npXr16sHKIyJyTIzj85+aqpEKp51V+Lj/FNcPe4/27C0+X352wCmuCkVvVJhWB6rXwsRoqaJIaRTQ\n/+c2atSIhx9+mHPOOYcqVaoU+Vn79u1LNJiISEnyn+I6FdPo1MLH7M582PBj0dKz6B3Ytct/tCcm\nBmqmFb10PbUOJr68Z7+HiBRPQAVn9erVJCUl8dVXXx30MxUcESltTGwc1D0RU/fEwseKnOL6+YfC\n+/Ww+IBTXMnVDrpRoU1K8uR3EJFDC6jgZGZmBiuHiEhYONQpLmstFF7FdcA9e1buP8X1W8XK2PQT\nMHVPxNQ9CWrXw5SN9fJXEYlqR31y2Vq7/9w14DhOiQQSEQk3xhiokghVEjGnHHCKK3/H3qu4fiB2\n0y/kf7PSf+k6+K/gOr4upt5J/iNE9U7y3+xQREIioIKTl5fHlClT+Pbbb/nzzz+L/GzWrFklGkxE\nJNyZuHKFp7gqJyezOycH+8fvsO5b7Npvseu+xS54G/v+6/4XVK2OqXeSv+zUPcl/l2b9y6FIUARU\ncJ599lliY2MZOnQomZmZDBs2jNmzZ9OsWbMjv1hEJAqYipWgaStM01YA2N274ed1/sKz9lvs1yv2\nbzwaXx7ST/Qf5al3EtSu718XJCLHLOD74DzzzDPExcVhjKF27dr06dOHIUOGkJGREayMIiKllilT\nZv9C5vMv85/a/20Tdu23UFh6lu89reXzX6W1r/DUPQmToMXLIkcjoILjOA4+nw+A8uXL8/vvv1Ou\nXDny8vKCEk5EJNIYY+C4mpjjakLrDgDYP/+AH9bsP8rz0XvY+XP9L0g6zn86a1/pSUnzL4QWkX8U\nUMGpV68eX3zxBaeddhpNmjRh7NixlC1blrp16wYrn4hIxDPlK8IpLTCntADAFhT4r9Ra942/8Kz5\nCj7/0H+UJ66c/+7NdfcWnvQGmLh4T/OLhKOACk7//v0Lr5zq0aMHc+fOZceOHVx00UVBCSciEo1M\nTAzUqY+pUx8yLvH/czd3s/+01r4FzG/N9D9uHEg9fv8prXonadsJEQIsOOXL7797Z9myZbn88stL\nPJCIiBRljIHkapjkanD6OQDYv/6E9d/tv1pryQL4YJ7/KE+VpP1Xa9U7yb+ux6fTWhJdAio4u3fv\n5tVXX2Xx4sX88ccfTJs2jS+//JJNmzZxwQUXBCujiIj8jYkvDyc3w5zsv4rV7tnj33Zi3d7Fy+u+\nhWUf+wtP2Vio02D/4uX0E7XdhES8gArOtGnTyMvL4/bbb+fhhx8GoFatWkybNk0FR0TEQ8bn899Y\n8Pi60L4TADbvt72ntVb7j/TMexVrXTDGv8fWgYuXk6vptJZElIAKzueff85TTz1VeJk4QGJioq6i\nEhEJQyaxKua0qvu3nMjf4T+ttW8dz9JFsOhd/1Geygl7L2ffW3jS0jExZTzNL3IsAio4MTExuK5b\n5LHff/+dihUrlmgoEREpeSauHJzUBHNSE2DvxqIbfy56lGfFJ/7CU6asfz+teidh6jaEeif6r/YS\nKSUCKjinn34648aNo0ePHgBs2bKFF154gdatWxfr9Tk5OYwfP56tW7dijCEjI4OOHTsyc+ZMli1b\nhjGGypUr07dvXxITEw96/cqVK5k6dSqu69KhQwcuvfTSQOKLiMgBjLP3xoKpdeCcjgDYrXl7r9Ra\n7T/S8/7r2D1z/C+oUWv/vlp1T4JqNXVaS8KWsQfumHkEBQUFvPjii8yfP59du3ZRtmxZOnTowHXX\nXUdMzJG70pYtW9iyZQvp6ens2LGDQYMGMXDgQBITE4mP99/HYd68eWzYsIHevXsXea3rutxxxx0M\nGTKEpKQkBg8ezB133EFqauoRP3fjxo3F/RWLLTk5mZycnBJ/39JGc9AMQDOAyJ2B3bkTfvweu/Yb\n7LrVsO5b+GvvXoQVKvlPa+1bx3N8ParWqBmRcwhEpH4XAhHMGdSsWbNYzwv4FFWPHj3o0aNH4amp\nQNp7QkICCQn+3XTLlStHSkoKeXl5RUrKzp07D/mea9eupXr16lSrVg2A1q1bs3Tp0mIVHBEROTom\nNhZOaIQ5oREA1nXh1w37t5pYt3r/Duply7K9y/XYsy70b1Eh4qFiFZzDtbDc3NzCPycnJwf0wZs3\nb2b9+vXUq1cPgBkzZrBo0SLi4+PJzMw86Pl5eXkkJe3fkyUpKYnvv/8+oM8UEZFjYxzHfwVWzTQ4\n63wA7O9bYd1q3M8W8ufMybDwXZzufTENGnmcVqJZsU5RXXXVVUd8o1mzZhX7Q/Pz88nMzKRLly60\natWqyM+ysrLYvXs3V155ZZHHP/30U1auXMmtt94KwKJFi/j++++56aabDnr/7OxssrOzARg1ahS7\ndu0qdrbiiomJoaCgoMTft7TRHDQD0AxAM9inYOXnbJkwGnfzJuIyLqbi9f1wKlbyOlZI6bsQ3BmU\nLVu2eBmK86Tjjz+eXbt2cfbZZ9O2bdtDLgAuroKCAsaMGUPbtm0PKjcAbdu2ZeTIkQcVnMTExCJH\njHJzcw+bIyMjo8ju5sE4D6hzrH6ag2YAmgFoBvskNz0Nhj6FmTuD/P++Tv5nizBX3ohpdU7ULEjW\ndyE81uA4xXnSI488woABA9i+fTv3338/I0eOZPHixRQUFOA4Do5TrLfBWsvEiRNJSUmhU6dOhY9v\n2rSp8M9Lly49ZPi6deuyadMmNm/eTEFBAUuWLKFFixbF+lwREQkdExuL07UHzv1jIbkadspY3LFD\nsZtL/oIPkcMJ6Coq8F/NtGrVKhYuXMjKlSsZOnQo6enpxXrt6tWrGTp0KGlpaYVNvlu3bixYsIBN\nmzZhjCE5OZnevXsX3kBw0qRJDB48GIAVK1Ywbdo0XNelXbt2dOnSpVifq6uogkdz0AxAMwDNYJ+/\nz8G6e7CL3sO+9h/YvRvT6SrM+ZdF9E0E9V0IjyM4ARecjRs3snDhQhYvXsxxxx1Hnz59OO64444q\nZKio4ASP5qAZgGYAmsE+h5uD3ZqLnTkZu3wx1KiF070fpn5DDxIGn74L4VFwirUGZ/v27Xz88cd8\n+OGH5Ofn07ZtW4YNGxbwlVMiIhKdTJUkzK3/xn65FPflibiPDMK0PQ9zeQ9M+Qpex5MIVKyCc8st\nt3DcccfRtm1bGjRoAMCvv/7Kr7/+WvicRo10OaCIiPwz06QlzomnYN+cgc1+A7vyM8xVvTCnnRU1\ni5AlNIpVcKpUqcKuXbuYP38+8+fPP+jnxhjGjRtX4uFERCTymNg4zBU9sa3Oxp0+Hjt5DPaTBTjX\n9sFUre51PIkQxSo448ePD3YOERGJMiYtHWfwI9iF72CzpuNm3oa5+GrMuZdiirH9j8g/Kd713SIi\nIkFgHB9O+044w8bDKadiX/sP7kN3+reCEDkGKjgiIuI5k5iMr89gnH73wY4/cUf/G/fFZ7B/bfc6\nmpRSOgYoIiJhwzRthXNiY+wbL2Pnz8V+8Snm6psxLdpoEbIEREdwREQkrJi4cjhX3YRz3xhISMY+\n+yjuU8Oxv/165BeL7KWCIyIiYckcXxdn8KOYq3rB99/gPnAb7rtzsFG+kaUUjwqOiIiELePz4WR0\nxhk+Dho2w86ZhjtiAHbdaq+jSZhTwRERkbBnEqvi63cfTt97Yfsf/kXIL03E/vWn19EkTGmRsYiI\nlBqm2ek4JzXGvv4SdsHb2C8+xel2MzRvrUXIUoSO4IiISKli4uJxrr4Z595HoXIV3ImjcZ9+EJu7\n2etoEkZUcEREpFQytevj3DsGc8WNsOYr3KH9cN/Pwu7Z43U0CQMqOCIiUmoZnw/nvEtxho+HExtj\nZ0/1L0Je/73X0cRjKjgiIlLqmaTjcG4bgtNnEPyxDXfk3bgznsXu+MvraOIRLTIWEZGIYIyB5q1x\nTmyCff1F7AdvY1d8gtOtNzQ7XYuQo4yO4IiISEQx8eVxrrkFZ9AjUKEi7oSRuONHYHN/8zqahJAK\njoiIRCSTfgLOfY9juvaEb7/EzeyHm/2GFiFHCRUcERGJWCYmBuf8y3CGjYMGjbCzpuA+fDf2p7Ve\nR5MgU8EREZGIZ5Kr4fS/H+eWe2BbHu6Iu3FnTcbmaxFypNIiYxERiQrGGGjRBqdhU2zWdOz8udjl\nS3Cu6Y1perrX8aSE6QiOiIhEFRNfAefaPjj/Hg3x5XHHP8ye8Q9j83K8jiYlSAVHRESikql7Is6Q\nsZguN8A3K/x3Qp4/F+tqEXIkUMEREZGoZWJicC68HOeBcVDvROzM53AfHoj9eZ3X0eQYqeCIiEjU\nM1Wr49zxAObmu2FLDu5Dd+G+MgWbv8PraHKUtMhYREQE/yJkc9pZ2JObY1/7D/a/b+xdhHwrpklL\nr+NJgHQER0RE5ACmfAWc7n1x/j0K4srhjnuQPRNGYbfmeh1NAqCCIyIicgimXkOc+8diLusOXy3D\nvb8v7gdvaxFyKaGCIyIichgmpgxOxytwHnga0k/AvjwJd9S/sb+s9zqaHIEKjoiIyBGY42rg/GsY\nptddkPN/uA/difvqVOzOfK+jyWFokbGIiEgxGGMwrc7GNmqOnTMN+14WdtlinGtvxZzSwut48jc6\ngiMiIhIAU74izvW34QwcCWVjcZ8ajjvpEezWPK+jyQFUcERERI6CaXAyztAnMJdci135Ge7QvrgL\n52Fd1+toggqOiIjIUTMxZXA6XeVfhHx8PexLE9k2NhO7R1daeU0FR0RE5BiZajVxBjyI6XI9Oz+e\nj53yuEqOx7TIWEREpAQYYzAXdqVchYps/894/4M3DcD4fN4Gi1IqOCIiIiWo/GXX8udff2JffcH/\ngEqOJ1RwRERESphzfhdcUMnxkAqOiIhIEKjkeEsFR0REJEhUcryjgiMiIhJEKjneUMEREREJMpWc\n0FPBERERCQGVnNBSwREREQkRf8kx2FengrXQ6y6VnCBRwREREQkh5/zL9h7Jmep/QCUnKFRwRERE\nQkwlJ/hUcERERDygkhNcKjgiIiIeUckJHhUcERERD6nkBEdIC05OTg7jx49n69atGGPIyMigY8eO\nTJ8+neXLlxMTE0O1atXo27cv5cuXP+j1/fr1Iy4uDsdx8Pl8jBo1KpTxRUREgkIlp+SFtOD4fD66\nd+9Oeno6O3bsYNCgQTRu3JjGjRtzzTXX4PP5ePHFF8nKyuK666475HtkZmZSqVKlUMYWEREJOpWc\nkhXSgpOQkEBCQgIA5cqVIyUlhby8PJo0aVL4nAYNGvDpp5+GMpaIiEhYUMkpOZ6twdm8eTPr16+n\nXr16RR5fsGABrVu3PuzrHnzwQRzH4dxzzyUjIyPYMUVERELKOf8yXAN29t6bAd58t0rOUTDWWhvq\nD83PzyczM5MuXbrQqlWrwsdfe+011q1bx913340x5qDX5eXlkZiYyLZt23jooYfo2bMnDRs2POh5\n2dnZZGdnAzBq1Ch27dpV4r9DTEwMBQUFJf6+pY3moBmAZgCawT6aQ8nN4M83Xmb7C+OIbd2eygMe\nwPhKz3VBwfwelC1btljPC3nBKSgoYPTo0TRp0oROnToVPr5w4UL++9//MnToUGJjY4/4Pq+88gpx\ncXF07tz5iM/duHHjMWU+lOTkZHJyckr8fUsbzUEzAM0ANIN9NIeSnYH7fhZ29lTMqWdiStGRnGB+\nD2rWrFms5zlB+fTDsNYyceJEUlJSipSblStX8sYbb/Dvf//7sOUmPz+fHTt2FP551apVpKWlhSS3\niIiIF5zzLsNc0RO7fDH2ucewe/Z4HanUCOnxrjVr1rBo0SLS0tIYOHAgAN26dWPq1KkUFBTw4IMP\nAlC/fn169+5NXl4ekyZNYvDgwWzbto3HHnsMgD179tCmTRuaNm0ayvgiIiIh55y3d+Hx7L0Lj0vR\nkRwvebIGJ9R0iip4NAfNADQD0Az20RyCN4PSdLoqHE5RlZ4VSyIiIlFMR3ICo4IjIiJSSqjkFJ8K\njoiISCmiklM8KjgiIiKlzEElp9ddmBj9T/qBNA0REZFSyF9yDHb28/4HVHKK0CRERERKKee8S/ce\nyVHJ+TtNQUREpBRTyTk0TUBERKSUU8k5WHT/9iIiIhFCJaeo6P3NRUREIoxKzn7R+VuLiIhEKJUc\nv+j7jUVERCKcSo4KjoiISEQ6sORYLE6vu6Oq5DheBxAREZHgcM67FHPlTbB8Ce7kx7AFBV5HChkV\nHBERkQjmnHtJVJYcFRwREZEIF40lRwVHREQkCkRbyVHBERERiRLRVHJUcERERKJItJQcFRwREZEo\nEw0lRwVHREQkCkV6yVHBERERiVKRXHJUcERERKJYkZLzXOSUHBUcERGRKFdYclZETslRwRERERF/\nybkqckqOCo6IiIgA4GRETslRwREREZFCkVJyVHBERESkiEgoOSo4IiIicpDSXnJUcEREROSQSnPJ\nUcERERGRwyqtJUcFR0RERP5RaSw5KjgiIiJyREVLzqNhX3JUcERERKRY/CWnF6z4JOxLjgqOiIiI\nFJuT0blUlBwVHBEREQlIaSg5KjgiIiISsHAvOSo4IiIiclTCueSo4IiIiMhRC9eSo4IjIiIixyQc\nS44KjoiIiByzA0vOtieGYa31NE+Mp58uIiIiEcPJ6IxrDHEptSgwxtMsKjgiIiJSYpwOFxOXnMz2\nnBxvc3j66SIiIiJBoIIjIiIiEUcFR0RERCKOCo6IiIhEHBUcERERiTgqOCIiIhJxVHBEREQk4oT0\nPjg5OTmMHz+erVu3YowhIyODjh07Mn36dJYvX05MTAzVqlWjb9++lC9f/qDXr1y5kqlTp+K6Lh06\ndODSSy8NZXwREREpJUJacHw+H927dyc9PZ0dO3YwaNAgGjduTOPGjbnmmmvw+Xy8+OKLZGVlcd11\n1xV5reu6TJkyhSFDhpCUlMTgwYNp0aIFqampofwVREREpBQI6SmqhIQE0tPTAShXrhwpKSnk5eXR\npEkTfD4fAA0aNCAvL++g165du5bq1atTrVo1YmJiaN26NUuXLg1lfBERESklPFuDs3nzZtavX0+9\nevWKPL5gwQKaNm160PPz8vJISkoq/HtSUtIhi5CIiIiIJ3tR5efnM2bMGHr06EF8fHzh46+99ho+\nn4+2bdse0/tnZ2eTnZ0NwKhRo0hOTj6m9zuUmJiYoLxvaaM5aAagGYBmsI/moBlAeMwg5AWnoKCA\nMWPG0LZtW1q1alX4+MKFC1m+fDlDhw7FHGIH0sTERHJzcwv/npubS2Ji4iE/IyMjg4yMjMK/5wRh\nw6/k5OSgvG9pozloBqAZgGawj+agGUBwZ1CzZs1iPS+kBcday8SJE0lJSaFTp06Fj69cuZI33niD\nYcOGERsbe8jX1q1bl02bNrF582YSExNZsmQJt99+e7E+t7jDCFSw3re00Rw0A9AMQDPYR3PQDMD7\nGRhrrQ3Vh61evZqhQ4eSlpZWeJSmW7duTJ06lYKCAipUqABA/fr16d27N3l5eUyaNInBgwcDsGLF\nCqZNm4brurRr144uXboU63M3btxY4r+LGrqf5qAZgGYAmsE+moNmAOFxBCekBccrKjjBozloBqAZ\ngGawj+agGUB4FBzdyVhEREQijgqOiIiIRBwVHBEREYk4KjgiIiIScVRwREREJOKo4IiIiEjEUcER\nERGRiKOCIyIiIhFHBUdEREQijgqOiIiIRBwVHBEROWbW3YPd8CN2zx6vo4gAId5N/J+sXLmSqVOn\n4rouHTp04NJLLy3yc2stU6dO5YsvviA2Npa+ffuSnp7uUVoREdnHrluN+/JE+PkH8mrXw3a9EXNC\nI69jSZQLiyM4rusyZcoU7r33XsaOHcvixYvZsGFDked88cUX/Prrrzz11FP07t2byZMne5RWREQA\n7O9bcJ9/AnfUPfD7Nswl1+L++QfuY/fiTnoEm/ub1xElioXFEZy1a9dSvXp1qlWrBkDr1q1ZunQp\nqamphc9ZtmwZZ511FsYYGjRowJ9//smWLVtISEjwKraISFSye/ZgP3gb++bLsGsX5oLLMRddiYkr\nR1K3m/jtpeew783Brvocc/7lmPO7YGJjvY4tUSYsCk5eXh5JSUmFf09KSuL7778/6DnJyclFnpOX\nl3fIgpOdnU12djYAo0aNYsKECSWe2XEcXNct8fctbTQHzQA0A4ieGezZvImdyz/B3bYFX/UUYpuf\njrP5L5j6ArB/Dm6dVuz68nMKxozBTJxIbJNW+GrVxhjj7S8QAtHyXfgnwZzBgw8+WKznhUXBKWkZ\nGRlkZGQU/r1Pnz4l/hnJycnk5OSU+PuWNpqDZgCaAUT+DOzWXOzsqdgNK+GkNJyrhkOz0w8qLH+f\ng13zNe7M52DDakgqg3N1L0xqnVDHD6lI/y4URzjMICwKTmJiIrm5uYV/z83NJTEx8aDnHDisQz1H\nRERKli3YjZ0/Fzt3FuwpwHS6CnNB12KfcjInNMK5/3Hsovexr7+IO/xOzNnnYy65FlOhUpDTSzQL\ni0XGdevWZdOmTWzevJmCggKWLFlCixYtijynRYsWLFq0CGst3333HfHx8Vp/IyISRPablbjD7sC+\n+gKc0Ahn2DicS64NeD2NcXw451yIM2Ii5pwLsYvew73vVtwP3tZl5RI0YXEEx+fzceONNzJixAhc\n16Vdu3bUqlWL999/H4DzzjuPZs2asWLFCm6//XbKli1L3759PU4tIhKZbO5vuLOnwPIlULU6zm33\nY5q0POb3NeUrYq65BXv2Bbgzn8O+PAn74bs4V9+MObFxCSQX2c9Ya63XIYJt48aNJf6e4XB+MRxo\nDpoBaAYQGTOwu3dj38/CzpsNWMyFV2DOvwxTpmyx36O4c7DWwhef4L7yPORuhuatca7oiUmudgy/\nQXiIhO/CsQrmDGrWrFms54XFERwREfGW/Wo57sxnYfMmaH4GzpU3YZKOC9rnGWP8pabRqdj3X8e+\n8yruV8v8hSqANT4ih6OCIyISxexvv+LOmgxffg7VU3D+NQxzcrOQfb4pG4vpdBW2dXvsnGnYt2Zh\nF8/HdO2Badk2Ki4rl+BQwRERiUJ2107su3Ow78wBnw9z+Q2YjM6YmDKe5DGJVTE33409+0Lcmc9i\nn3sMu3AeztW9MWnalkcCp4IjIhJFrLXw5We4MydD7mb/UZKuPTGJyUd+cQiYBifjDHkc+/F/sVkv\n4j40ANP2PMyl12Eq6rJyKT4VHBGRKGH/b6N/nc3XK6BGLZy7HgrLq5eM48OcdQH21DbYuTP820Is\n+wjT+RrM2RdiYvQ/XXJk+paIiEQ4uzMf+/Yr2P++DjFlMFfehGl3UdgXBVO+Aubqm7Fnne+/rHzm\nc/svK2/Y1Ot4EubC+9stIiJHzVoLyxf7L8XekoM5vZ1/8W7l0nWTVFMzDefO4bDyM9xXpuCOHQrN\nTse54kZM1epex5MwpYIjIhKB7Maf/XtAffslpNbBufluTP2GXsc6asYYf6lp1Nx/Wfm82bhf9cOc\ndxmmY1dMbJzXESXMqOCIiEQQu+Mv7FszsfPnQmwc5ppbMGddgPH5vI5WIkyZspiLrsS27oCd8wJ2\n3ivYJXsvKz/tLF1WLoVUcEREIoC1FvvZh/59o7blYdqci+lyPaZiZa+jBYVJSML0ugt7Tkf/+pzJ\nY/ZfVn58Xa/jSRhQwRERKeXshvW4L0+C77+B4+vh9LsXU6eB17FCwtQ7CefeR7GL52OzpuOOGOAv\nd5deh6lUxet44iEVHBGRUsr+tR37xsvYD+ZB+fKY7v0wbTIwTmScjiou4/gwbc/DntoaO3cW9oO3\nsMsWYzpfjTkn/K8Wk+DQ/9VFREoZ67rYTxZg50yD7b9jzr7Af8SifEWvo3nKxFfAXHUT9qzzcGdN\nxs6agl30Ps5VvUK6/YSEBxUcEZFSxP601n866oc1UPdEnDse0JqTvzE1auHc8QCsWoo7azLuE5nQ\n5DT/BqLH1fA6noSICo6ISClgt/+OzXoR+9F7UKESpucd/vvaOI7X0cKSMcZfaho2w2a/iX37FdzM\nfphzL8F0vBITV87riBJkKjgiImHMunuwH/0XmzUddvyJad/Jv2VBfHmvo5UKpkwZzIWXY884B/va\nf7DvzMEu+QDT9QZMq3N0WXkEU8EREQlTdt1q3BnPwk9rocHJON1uwaTW9jpWqWSqJGFuvNO/W/mM\nZ7FTxmIXvuPf9qF2fa/jSRCo4IiIhBn7+1bsa9Owi+dDlURMr7t0E7sSYuqeiHPvY/5F2q/9B/fh\nuzGtO2C6dMdUKl1bWMg/U8EREQkTds8e7MJ3sG+8BLvyMedfhul0FSYu3utoEcU4DubMDGzz1ti3\nZmHnv4ldscQ/6/adMDFlvI4oJUAFR0QkDNjv/h/ujEmw4Uc4qYn/dFSNVK9jRTRTLh5zRU9s23Nx\nZ03Bzp6K/eh9nCt7YU451et4coxUcEREPGS35vn3VPp0ISQm49w6CJqfodNRIWSqp+K7IxO7ainu\nrCm4Tw2DU1r4759TrabX8eQoqeCIiHjAFhRgF7yFnTsDCnb7L13WrtieMo1b4jRsip0/F/vWLNzM\n2zAZnTGdrtRpwlJIBUdEJMTs/2fvzsOjqu4/jr/PEELYsgcwRGRX2ZewKRiWqAioURFQQQHFXSpu\nhbZIlVr4iRZFQEQB0bYKuEQFKRqxYXELm4DsgiAiZg8EEiCZ8/tjatrINpBM7iT5vJ7H52HunNz5\n9IdRSEQAACAASURBVNuQfDn33Hu2fuu5O+rnHz0zBUPuwtTRTIE/MAFVMVffiO3ay3Nb+bL3sF99\n7tm4VM8dKlfU4IiIlBGbmeZZ57FmFUTWxfXgn6BNJ12O8kMmJAwz4nfYnv+5rXzei57bym+5u9Js\nZFreqcEREfExe+IENukD7OIFYK3nQX1X34AJrOZ0NDkL06g5rrHPYr/6N/a9+Z7byrv19szohIY7\nHU/OQA2OiIgP2c1rcb/1KqQegHZdcQ2+ExNZ1+lYcg6My4W5rDe2Q1fs4oWerR/WfYm5djCmz7W6\nrdxPqcEREfEBm/4L7gVzYMNXUCca1+8mYFrp1uPyzATVwAwcju1xFe6Fc7DvvP6f3crvxLTp5HQ8\n+Q01OCIipcgeP4Zd9j526TtgDOaGYZgrEzBV9a/8isLUjabKQ+M9s3MLXsP90kRo1dHT6NTTs4v8\nhRocEZFSYK3Fbvga94LXIP0XTGx3zM0jMOFRTkcTHzGtOuK6pA12+RLs4rdx//khTJ9rcQ9/0Olo\nghocEZESs9mZZM+ahHvtl3DBhbgemYi5tK3TsaQMmICqmKsSsF3jsO+9if30Aw7lZGLvfFR3xzlM\nDY6ISAlYa3HPncrx77d5Zmx6X4sJ0I/WysYEh2GGj8Yd3YBji+ZimrTA9OrndKxKTU8sEhEpAfvl\nctj6LbVHPITrqhvU3FRyJv46Ajt0wy6cg93/g9NxKjU1OCIi58keysYunAtNLqH6VQlOxxE/YFwu\nQh76I9SshXv2FOyxY05HqrTU4IiInCe7cA7k5+G6/UE9wl+KuELDcY0cAwf3Yxe+5nScSsvxudTc\n3FymTp1KWloaUVFRjBkzhlq1ap00bubMmaxbt46QkBCef/55B5KKiPyX3bwO+3UyZsAQTHQDp+OI\nnzEt2mH63ohd+i720raY2O5OR6p0HP8nR2JiIq1bt2batGm0bt2axMTEU47r2bMnf/jDH8o4nYjI\nyeyxfNx/nwn16mP6DXQ6jvgpc91t0Kg57jdmYDNSnY5T6Tje4KSkpBAXFwdAXFwcKSkppxzXokWL\nU87siIiUNfvhPyEjFdewBzFVA52OI37KBATgGvUYYHG/+hy2sNDpSJWK4w1OTk4OYWFhAISGhpKT\nk+NwIhGR07N7d2E//RBzxdWY5i2djiN+zkTVwwy9H77fhv3wLafjVColWoOTmJhIQsLZ7xyYOHEi\n2dnZJx0fMmRIsdfGmFJ5MFJSUhJJSUkATJ48mcjIyBKf87cCAgJ8ct7yRnVQDaDy1MAWFpA5aRaE\nhhFx9yO4atYueq+y1OBsVIdT1KDfjeTs3kb+0kUEd+1BYOuKvyeZP3wflKjB2bp1q1cNzvjx40/7\nXkhICFlZWYSFhZGVlUVwcHBJIgEQHx9PfHx80ev09PQSn/O3IiMjfXLe8kZ1UA2g8tTAvex97O4d\nuO79PZl5xyDvv7cAV5YanI3qcOoa2Btuh+/Wk/W3CbienIapXfLfdf7Ml98H0dHRXo0r0SWqcePG\nleTLAYiNjSU5ORmA5ORkOnXSjqwi4n9s2kHsh/+Atp2hw2VOx5FyxlQLwjXqccg9hPv1F7HWOh2p\nwvO6wXG73Wzbto0vv/ySbdu24Xa7SyVAQkICGzduZPTo0WzatKloRigzM5NJkyYVjXvhhRf405/+\nxIEDB7j33ntZvnx5qXy+iMjZWGs9d02ZKrhuvUd7DMl5MQ0aYwaOhI0p2OWLnY5T4Xl1iWrv3r1M\nmTKFEydOEB4eTmZmJlWrVuWxxx6jYcOGJQpQu3ZtnnzyyZOOh4eHF5shevjhh0v0OSIi58t+/W/Y\nsgFzy93aHVxKxPTuj926AfvOPGyzlpgGjZ2OVGF5NYPz8ssvc/XVVzNr1iwmTZrErFmz6Nu3Ly+/\n/LKv84mIOMoePoRdMAcaX4zpeY3TcaScM8bgumM01ArG/eoU7LF8pyNVWF41OD///DP9+/cvmpY1\nxtCvXz8OHjzo03AiIk6zC+dA3pH/bMdQxek4UgGY2sG47nwEfjmAfesVp+NUWF41OO3bt2fNmjXF\njq1Zs4b27dv7JJSIiD+w363HfvU55uqbMPUvcjqOVCDmkjaYfjdjV3+G++tkp+NUSF6twXG73bzw\nwgs0btyYiIgIMjIy2L17N7GxsUyfPr1o3IMPPuizoCIiZckeO+ZZWFy3PmbAIKfjSAVkrr0Fu20j\n9u8zsY0vxkTVczpSheJVg3PhhRdy4YUXFr2OiYmhbdu2PgslIuI0+9E/If0XXI/9VdsxiE+YKlVw\njXoM91O/w/3qc7iemIwJcHwP7ArDq0refPPNvs4hIuI37L7vsZ9+gOl+JebiVk7HkQrMRNTBdceD\nuGf9H/aDf2BuusPpSBWG161iQUEBBw4c4NChQ8WOt2qlv/wiUnHYwkLcb8yAWsGYgSOcjiOVgOl4\nOeaKq7H/ehd7aRtMC61vLQ1eNTjbtm3jb3/7GydOnCAvL4/q1auTn59PREREsTU4IiLlnf3sI9i7\nC3P3E5iatZyOI5WEGXQXducW3HNfwPXki5jgUKcjlXte3UU1f/58rrvuOubNm0f16tWZN28eN910\nE1dddZWv84mIlBmbdhD7wT+gdSwm9nKn40glYqpVw3X343D0CO55L2BLabeAysyrBufAgQP069ev\n2LGEhASWLFnik1AiImXNWov7n7PAuHDddp+2Y5AyZ2IaYgaNhM3rsEkfOh2n3POqwalRowZ5eXkA\nhIaGsn//fnJzc8nP1xMYRaRisN+sgM3rMDcMxURoOwZxhom7Btp3xb73BnbvLqfjlGteNThdunRh\n/fr1APTq1YunnnqKsWPH0rVrV5+GExEpCzb3EHbBa9CoOaZXv7N/gYiPeLZyeAiCQ3HPnoLNP+p0\npHLLq0XGw4cPL/rzddddR/PmzcnLy9OzcESkQrCL5sHRXFy3P63tGMRxpmZtXHc9ivu5P2L/8Qrm\nzjFORyqXzuuJQpdccklp5xARcYTd+i32i88w1wzExDRyOo4IAKZ5S8yAwdiP3sLdoh2ubr2cjlTu\neHWJSkSkIrLHj+F+cwbUuQAzYLDTcUSKMQMGQfOW2H/Mwv5ywOk45Y4aHBGptOzityHtIK6h92MC\nqzkdR6QY46ri2XW8ShXcrz6HLTjhdKRyRQ2OiFRK9sc92GXvYy7vg7lU6wnFP5nwKFzDR8PeXdj3\n33Q6TrmiBkdEKh3rLsT9xnSoWRtz80in44ickWnfFdOzH/aTROzmtU7HKTdK1OBMmjSptHKIiJQZ\nu3wJ/LATM/guTM3aTscROStz8wiofxHuuS9gc7KcjlMulKjB0d1UIlLe2IxUbOLfoVVHTOcrnI4j\n4hUT+J+tHI7l4Z7zN23l4IUSNTg33HBDaeUQEfE5ay3uf8wCa3EN1XYMUr6Y6AaYwaNg67fYT953\nOo7f86rBefbZZ/nyyy85fvy4r/OIiPiMXbMKNq3BJAzFRNRxOo7IOTM9rsJ0vByb+Hfs7u1Ox/Fr\nXjU4LVq04MMPP2TUqFFMnz6dDRs24Nb0mIiUI/bIYexbs+Gippg+A5yOI3JejDGY2x+A0AjPreNH\njzgdyW951eAMGDCASZMmMXnyZOrWrcv8+fO55557mDt3rq/ziYiUCrtoHhw5jOv2B7Udg5RrpkYt\nXHc9Cplp2H+8jLXW6Uh+6ZzW4FxwwQXcfPPN/O53v+Oiiy5i2bJlvsolIlJq7LaN2NVJmCsTMA0a\nOx1HpMRM00sx192K/WYF9ovlTsfxS17vRXXw4EFWr17N6tWrOXToEF27dmXgwIG+zCYiUmKe7Rhm\nQlQ9zLW3OB1HpNSYa27y7KX2z1nYJhdj6sU4HcmveNXgjBs3jgMHDhAbG8uwYcNo06YNVapoildE\n/J9dshBSD+Aa8zSmmrZjkIrj160c3E+Pxj17Cq5xz2GqVnU6lt/wqsG59tpriY2NJTAw0Nd5RERK\njd2/B7vsPUy3XpgW7ZyOI1LqTFgEruEP454+Efvu65gho5yO5De8WoNz2WWXcezYMVasWMEHH3wA\nQGZmJhkZGT4NJyJyvjzbMcyA6jUxN9/pdBwRnzFtO2H6XIv97CPstylOx/EbXjU4W7Zs4eGHH2bl\nypW8++67gGdNzquvvurTcCIi58t+vhT27PBsx1A72Ok4Ij5lbhoOFzbC/foL2GxNPoCXDc7rr7/O\nww8/zB//+MeitTdNmzbl+++/92k4EZHzYTPTPDsvt2yP6RLndBwRnzNVq3q2cjh+HPdrf8O6C52O\n5DivGpy0tDRat25d7FhAQACFhSqgiPiX/27H4MZ1m7ZjkMrD1IvB3HoPbN+EXfqu03Ec51WDExMT\nw4YNG4od27RpEw0aNPBJKBGR87Z2NWxMwVx/KyaqntNpRMqUuawPpvMV2A//id211ek4jvKqwRk2\nbBgvvfQS06dP5/jx48yePZuZM2cydOhQX+cTEfGaPZKL+63Z0KAJps91TscRKXPGGMxt90F4FO7X\nnscezXU6kmO8uk28efPmTJkyhZUrVxIUFERkZCR//etfiYiIKHGA3Nxcpk6dSlpaGlFRUYwZM4Za\ntWoVG5Oens6MGTPIzs7GGEN8fDz9+vUr8WeLSMVi330dcg/hGj0Bo2d1SSVlatTENeox3M+Oxb4x\nA+55olJeqj1rg+N2u3n66af54x//yPXXX1/qARITE2ndujUJCQkkJiaSmJh40sxQlSpVGDZsGI0b\nNyYvL4+xY8fSpk0bYmL01EYR8bDbN2NXfoK56gbMRU2cjiPiKNP4Ysz1Q7HvzYeVn2CuuNrpSGXu\nrJeoXC4XqampPtvMKyUlhbg4z10OcXFxpKScfA9/WFgYjRt79o+pXr069evXJzMz0yd5RKT8sSeO\n435zBkTWxVyn7RhEAMzVN8ClbbELXsUe2Od0nDLn1RqcgQMH8uqrr5KWlobb7S72X0nl5OQQFhYG\nQGhoKDk5OWccn5qayp49e2jatGmJP1tEKgb78SL45SdcQ+/HVAtyOo6IXzAuF66RY6Baddyzp2CP\nH3M6Upnyag3OK6+8AsCKFStOem/BggVn/fqJEyeSnZ190vEhQ4YUe22MOeN1wvz8fJ5//nmGDx9O\njRo1TjsuKSmJpKQkACZPnkxkZORZM56rgIAAn5y3vFEdVANwtgYF+3aT8a93CYq7mpC4Kx3JAPo+\n+JXq4Gc1iIzk2MMTyJ74CNUWv03w3Y+Wycf6Qw28anCmT59eog8ZP378ad8LCQkhKyuLsLAwsrKy\nCA4+9RNHCwoKeP755+nRowddunQ54+fFx8cTHx9f9Do9Pf38gp9BZGSkT85b3qgOqgE4VwPrduOe\n9hcIqs7x64c6+v+Dvg88VAc/rEGDppirEshb+i7HGl2Mad/V5x/pyxpER0d7Nc6rS1RRUVFERUUR\nGRlJtWrViIyMLDpWUrGxsSQnJwOQnJxMp06dThpjrWXWrFnUr1+fAQMGlPgzRaRisMn/gu+3YW6+\nE1M7xOk4In7L3DAMLmqK+/Vp2Mw0p+OUCa8anCNHjvDSSy9x2223MWrUKIYOHcpLL71Ebm7J769P\nSEhg48aNjB49mk2bNpGQkAB4NvOcNGkSANu3b2fFihVs3ryZxx9/nMcff5x169aV+LNFpPyymeme\nO0RatMN06+V0HBG/ZgKq4hr1GBQW4p5TObZyMNaL26OmTJmCy+Vi8ODBREVFkZaWxsKFCykoKOCJ\nJ54oi5wlcuDAgVI/p99NQTpEdVANoOxrYK3FPfOvsGU9rj9P94snFuv7wEN18O8auL/8HDt3Kua6\nW3FdO+TsX3Ceys0lqs2bN/PQQw8RExNDtWrViImJ4YEHHmDLli0lCikicl7WfwkbvsZce4tfNDci\n5YWrWy9M117Yj97G7vjO6Tg+5VWDU79+fVJTU4sdS09P97qLEhEpLfZoLu5/zoYLG2GuTHA6jki5\nY267B6Lq4p7zPPbIYafj+IxXd1G1atWKZ555hh49ehRNO61cuZIrrriC5cuXF43r3bu3z4KKiADY\nd9+AQ9m4HvyjtmMQOQ8mqAauux/HPekJ3PNfwnXfuAq5lYNXDc7OnTupV68eO3fuZOfOnQDUq1eP\nHTt2sGPHjqJxanBExJfszi3YFf/CxF+PadjM6Tgi5Za5qCnmxmHYRfOwyUsxPSve/o5eNTgTJkzw\ndQ4RkTOyJ07gfmM6RNTBXH+r03FEyj0Tfz1267fYBXOwTVtgYho6HalUebUGR0TEaXbpIji4H9dt\n92GCqjsdR6TcMy4XrhEPQ42anq0cjlWsrRzU4IiI37M//4j9+B1M5yswrTs6HUekwjDBobjuHAM/\n/4hdOMfpOKVKDY6I+DXrdnsuTQVVxwy+y+k4IhWOadEe0/cm7Ip/Ydd+4XScUqMGR0T8ml2xDHZt\nxdw8EhMc6nQckQrJXH8bNGqO+42XsBmpZ/+CcsCrBmf//v1Fu4Hn5+ezcOFCFi1axLEKdr1ORPyL\nzc7wbMdwSRvMZbpLU8RXTECAZysHtxv3a89jC8v/Vg5eNTgvvvgiR48eBeCNN95g69at7Ny5k9mz\nZ/s0nIhUbu63ZkNBAa5h91fI53SI+BMTVQ8z9H7YtRX70VtOxykxr24TT01NJTo6Gmst33zzDX/7\n298IDAzkwQcf9HU+Eamk7PqvYN2XmBtvx9TRU9NFyoKrSxzurRuwHy/CXtoWc3FrpyOdN69mcAID\nA8nLy2PXrl1ERkYSHBxM1apVOXHihK/ziUglZI8ewf3PWRDTUNsxiJQxM+RuqBvtuVR1+JDTcc6b\nVw3O5ZdfztNPP82MGTPo2bMnAHv27KFOnTq+zCYilZR9/03IycJ1+4OYAK8mmkWklJig6rhGPQ65\nh3DPn4a11ulI58WrnxzDhw/n22+/pUqVKrRq1QoAYwx33HGHT8OJSOVjd231PDq+9wBMo+ZOxxGp\nlEyDxpiBI7Bvv4pdvgTTZ4DTkc6ZVw3ON998Q4cOHQj4n39JNWnSxGehRKRyKtqOISwSkzDU6Tgi\nlZrpPQC7ZQP2nbnY5i0xFzZyOtI58eoS1aJFixg1ahSzZs1i8+bNvs4kIpWUXfYu/Pwjrtvu1XYM\nIg4zxuAa/juoGYx79rPYY/lORzonXjU4U6ZMYeLEiYSGhvLKK69w77338sYbb7B7925f5xORSsL+\nvB+7ZCGmUw9Mm05OxxERwNQOxnXXI/DLAexb5evRMF4/yTgmJoYhQ4bw0ksv8cgjj7Bv3z7GjRvn\ny2wiUklYtxv3m9MhsBpmiLZjEPEn5pI2mGtuxq5Owv3NCqfjeO2cbk9IT0/niy++YNWqVaSlpdGr\nVy9f5RKRSsSu+hR2bsHc/iAmOMzpOCLyG+baIdjtG7F/n4lt1BwTVc/pSGflVYOzbNkyVq1axd69\ne2nfvj0DBw48adGxiMj5sNmZ2Hdeh4tbY7pf6XQcETkFExCA665HcT/9MO5Xn8P1xGS/f4SDV+nW\nrVvHlVdeSefOnQkKCvJ1JhGpRNxvz4YTx3EN1XYMIv7MRNbFdfsDuF95FvvhPzA3+vejYrxqcLTW\nRkR8wW74GtZ+gUkYiqlX3+k4InIWJrY7ZssG7L/ew17SFtOindORTsvrRcYiIqXJ5h3F/c9XoP5F\nmKtvcDqOiHjJDB4F9WJwz52KPZTtdJzTUoMjIo6w778J2Rm4hj2ACajqdBwR8ZKpVg3X3Y/DkVzc\n817Eut1ORzolNTgiUubs99uw//4Y07MfpsklTscRkXNkYhpiBt0Jm9diP/vI6TinpAZHRMqULTiB\n+80ZEBqBuXGY03FE5DyZntdAu67Yd+dj9+5yOs5JvFpknJqayltvvcUPP/xAfn7xRzW//PLLPgkm\nIhWTXfY+/LQX14N/wgTVcDqOiJwnz1YOD+F+6ne4Z0/BNX6qX/2d9qrBefHFF6lbty6333471apV\n83UmEamg7MGfsIsXQMfLMG07Ox1HRErI1KyN665HcD/3J+w/X8GMHON0pCJeNTj79+9n4sSJuFy6\noiUi58dai/vvM6FqIK4hdzsdR0RKiWneCjNgEPajt3G3aIerq3/scuBVx3LppZfyww8/+DiKiFRk\ndtWnsH0TZuBwTGi403FEpBSZ/oOhWQvs32dhUw84HQfwcgYnKiqKZ555hs6dOxMaGlrsvcGDB/sk\nmIhUHPZQFvadedC8pbZjEKmATJUqnq0cnvod7tnPYafMcTqSdzM4x44do2PHjhQWFpKRkVHsPxGR\ns7FvvwbHj+Ea+gBGl7pFKiQTHoXrjodg7y5y//GK03G8m8G5//77fZ1DRCoouzEFm7ISc/2tmAti\nnI4jIj5kOnTD9B6Aq1Ztp6OcvsFJTU2lTp06APzyyy+nPUHdunVLP5WIVAg2Pw/3P16GCy7E9L3J\n6TgiUgbMkFHUjIoiLz3d0RynbXAee+wx3njjDQBGjx592hMsWLCgRAFyc3OZOnUqaWlpREVFMWbM\nGGrVqlVszPHjx5kwYQIFBQUUFhbStWtXBg0aVKLPFRHfs4l/h6wMXE9M1nYMIpWEMcbpCMAZGpxf\nmxsoeRNzJomJibRu3ZqEhAQSExNJTExk6NChxcZUrVqVCRMmEBQUREFBAU8++STt2rWjefPmPssl\nIiVj9+zALl+MibsG0/RSp+OISCXj+Gq/lJQU4uLiAIiLiyMlJeWkMcYYgoKCACgsLKSwsNBvOkQR\nOZktKMA9/yUICcfceLvTcUSkEvJqkXFhYSHLli1jy5YtHD58uNh7Tz31VIkC5OTkEBYWBkBoaCg5\nOTmnHOd2u/n973/PwYMHufrqq2nWrNlpz5mUlERSUhIAkydPJjIyskQZTyUgIMAn5y1vVAfVAE6u\nwZF33yD3p72EjJ1E0IUNHExWdvR94KE6qAbgHzXwqsGZP38+mzdvJj4+nrfeeotbbrmFTz75hMsu\nu8yrD5k4cSLZ2dknHR8yZEix18aY087MuFwupkyZwpEjR3juuefYt28fDRqc+gdnfHw88fHxRa/T\nfbDQKTIy0ifnLW9UB9UAitfAph7AvWAudOhGbpOW5FaS2uj7wEN1UA3AtzWIjo72apxXDc7XX3/N\nM888Q2RkJAsXLqRfv360bduW2bNne/Uh48ePP+17ISEhZGVlERYWRlZWFsHBwWc8V82aNWnZsiUb\nNmw4bYMjIs6w1uJ+cyYEBOC6RdsxiIhzvFqDc/z4cSIiIgAIDAzk2LFj1K9fv1S2b4iNjSU5ORmA\n5ORkOnXqdNKYQ4cOceTIkaIsGzdupH79+iX+bBEpXfaL5bBtI+bGOzChEU7HEZFKzKsZnPr16/P9\n99/TtGlTGjduzKJFi6hevTrh4SXfTyYhIYGpU6eyfPnyotvEATIzM3nllVcYN24cWVlZzJgxA7fb\njbWWbt260bFjxxJ/toiUHnsoG7toLjRtgbniaqfjiEglZ6y19myDdu3ahcvlonHjxvz888+89tpr\n5OXlMWzYMC691P9v/zxwoPQ3/tI1Vg/VQTUATw1SJ43Frv0C14QXMRdc6HSkMqfvAw/VQTWAcrQG\np2nTpkV/vuCCC864pkZEKp9ja7/EfrMCc+2QStnciIj/8arB2bx586m/OCCAiIgIoqKiSjWUiJQf\nNj+PQ69M8WzHcM3NTscREQG8bHBefvllsrKyAKhdu3bRs3BCQkLIzs6mQYMGPPzww1xwwQW+Syoi\nfsXm53k20lyxDNIOerZjqKrtGETEP3jV4PTu3ZujR48yePBgAgMDOX78OAsXLqRGjRr069ePN954\ng9dee02XrkQqOJt31NPUrFkN362DE8chJIxaI0aT16yF0/FERIp41eB8/PHHzJ49mypVqgCeW8WH\nDBnCPffcw4033sjtt9/Offfd59OgIuIMe/QI9ttvsGv/09QUFEBoOOaKqzEdLoOml1CzTl3Hdw4W\nEflfXjU4QUFBfP/998U2t9y9ezfVqlUDPE8ZFpGKwx7JxX77tWemZssGKCyAsEhMz36YjpdB40sw\n+nsvIn7MqwZn0KBB/OUvfyE2NpaIiAgyMjJYu3YtI0eOBGDTpk106dLFp0FFxLfskcPY9V9h134B\nW7/1NDXhUZje/TEdL4dGzdXUiEi54VWDExcXR5MmTfjqq6/IysoiOjqaG2+8kZiYGAA6duyoB++J\nlEP28CHshq88l5+2bYTCQoiog4m/1tPUNGx22v3hRET8mVcNDkBMTAwDBw70ZRYRKQP2cA52/Zee\ny0/bN4HbDVH1MFcmYGIvhwZN1NSISLnndYMjIuWXPZSFXfel5/LT9s1g3VDnAszVN3qamgsbq6kR\nkQpFDY5IBWWzMz0zNWu/gB3feZqaevUx/QZ6Lj/FNFRTIyIVlhockQrEZmX8Z6ZmFezaCtZ6njDc\nf5Bnpia6gZoaEakUzqnBSU9PJzMzs9jt4iLiLJuZjl33hWeh8K6tnoP1L8IMGIKJvRwT3cDZgCIi\nDvCqwUlPT+fFF1/khx9+AODNN9/kq6++YsOGDdx7772+zCcip2Az0rBrV2PXfQHfb/McjGmIuf42\nTMfLMRfEOBtQRMRhXjU4s2fPpn379jz11FPceeedALRp04Y33njDp+FE5L9s+i/Ytf+Zqdmzw3Ow\nQWNMwlBPU1OvvrMBRUT8iFcNzq5duxg7dmyxJxbXqFGDo0eP+iyYiIBNO+iZqVmzGvbu8hy8qCnm\nxjswHbth6kQ7G1BExE951eCEhIRw8OBBoqP/+8N0//79REZG+iyYSGVlUw9g16z2zNTs2+052LAZ\nZuBwTIfLMFH1nA0oIlIOeNXgXHvttfzf//0fCQkJuN1uVq1axfvvv09CQoKv84lUCvbgfs/lpzWr\nYf8ez8HGF2NuHuG5/BRRx9mAIiLljFcNTu/evalduzZJSUlERESQnJzM4MGD6dy5s6/ziVRY9ucf\n/ztT89Nez8Eml2AG34lpfxkmIsrZgCIi5ZjXt4l36tSJTp06+TKLSIVmrYUDP2LXrvLM1Pz8DhQP\nIQAAIABJREFUIxgDTS7FDBmFad8NE67LviIipeG0Dc7y5cu9OkHv3r1LLYxIRWOthZ9++O/lp4P7\nPU1Ns5aYntdgOnTDhEY4HVNEpMI5bYOzcuXKoj9ba9m+fTuhoaFERESQkZFBdnY2l1xyiRockd+w\n1sKPezx3P639An75CYwLmrfE9BngmakJCXM6pohIhXbaBmfChAlFf547dy6dOnWif//+Rcc+/vhj\nDh486Nt0IuWEtRb27fZcflr7BaT+DC4XXNwac+X1mPZdMMFqakREyopXa3BWrlzJnDlzih3r27cv\nd955JyNHjvRJMJHywB7cz+GPF+Be9RmkHfQ0NZe09ezS3b4rpnaI0xFFRColrxqc0NBQ1qxZU+yu\nqTVr1hAcHOyzYCL+zh7NxT3pcY4ey4dL22L63Yxp1wVTS38vRESc5lWDM2LECJ5//nk+/PBDIiIi\nSE9PZ//+/TzyyCO+zifit+xni+HoEcKfn0dOsBYKi4j4E68anDZt2vDSSy+xYcMGMjMz6dChAx06\ndKB27dq+zifil2zeUWzSB9CuC1UbXwzp6U5HEhGR/+H1c3CCg4O54oorfJlFpNywny+Bo0dwDRjs\ndBQRETkFrxqcJ598EmPMKd976qmnSjWQiL+zx/Kxn34ArTpiLmrqdBwRETkFr7dq+F/Z2dl8/vnn\n9OjRwyehRPyZTV4KuYc0eyMi4se8anB69ux50rGuXbsyc+ZMBg4cWNqZRPyWPX4Mu+x9z11TTS5x\nOo6IiJyG63y/MDw8nL1795ZmFhG/Z1d+CoeycfXX7I2IiD/zagbnt/tSHT9+nK+//prmzZv7JJSI\nP7InTmD/9S40a4G5uJXTcURE5Ay8fpLx/6pWrRoXX3xxsa0bRCo6+8VnkJ2Ba8Rop6OIiMhZeNXg\n/O++VKUtNzeXqVOnkpaWRlRUFGPGjKFWrVqnHOt2uxk7dizh4eGMHTvWZ5lEfssWFGCXvgONmsOl\n7ZyOIyIiZ+HVGpwRI0ac8vhdd91V4gCJiYm0bt2aadOm0bp1axITE0879uOPP6Z+/fol/kyRc2W/\n/jdkpOIaMPi0j0wQERH/4VWDU1hYeNKxgoIC3G53iQOkpKQQFxcHQFxcHCkpKaccl5GRwbp16+jT\np0+JP1PkXNjCQuzHi6BBE2gd63QcERHxwhkvUf36gL8TJ06cdJkqIyOjVBYZ5+TkEBYWBng29czJ\nyTnluNdff52hQ4eSl5dX4s8UORc2ZSWk/ozr/j9o9kZEpJw4Y4Pz6wP+du3aRa9evYqOG2MICQmh\nVSvv7iSZOHEi2dnZJx0fMmRIsdfGmFP+Alm7di0hISE0btyY77777qyfl5SURFJSEgCTJ08mMjLS\nq5znIiAgwCfnLW8qeh2s203GsvcwFzUhvE8/jOvkSc+KXgNvqAaqwa9UB9UA/KMGZ2xwfn3AX7Nm\nzUq09mX8+PGnfS8kJISsrCzCwsLIysoiODj4pDHbt29nzZo1rF+/nuPHj5OXl8e0adMYPfrUd7PE\nx8cTHx9f9DrdBxshRkZG+uS85U1Fr4Ndswr3/h8wdz9BRmbmKcdU9Bp4QzVQDX6lOqgG4NsaREdH\nezXutA3OihUrijbX3L59O9u3bz/luN9u43CuYmNjSU5OJiEhgeTkZDp16nTSmFtvvZVbb70VgO++\n+46PPvrotM2NSGmxbjfuxQugXgymYzen44iIyDk4bYOzevXqogbnt8/B+V8lbXASEhKYOnUqy5cv\nL7pNHCAzM5NXXnmFcePGlej8Iuft22/gp72YO8dgXFWcTiMiIufAWGut0yF87cCBA6V+Tk1BelTU\nOlhrcf/lEcg7gmviy5gqp29wKmoNzoVqoBr8SnVQDcDPL1GdSk5ODvn5+cWO1a1b91xOIVI+bF4L\n+77H3PHQGZsbERHxT141OBs2bODll18+5Z1QCxYsKPVQIk6y1nrW3kTUwXTtdfYvEBERv+NVgzNn\nzhxuuukmevbsSWBgoK8ziThr67ewezvmtvswAec0ySkiIn7Cq5/eubm5XHnllXrImVQK7iULIDQC\nc3n82QeLiIhf8mqrht69e/P555/7OouI4+yOzbDjO0zfGzFVqzodR0REzpNXMzg7d+5k6dKlfPDB\nB4SGhhZ776mnnvJJMBEnuBcvgOBQTI+rnI4iIiIl4FWD07t37xI/70bE39nvt8HWbzEDR2ACqzkd\nR0RESsCrBufXLRtEKjL3koVQqzYmrq/TUUREpIS8anCWL19+yuNVq1YlIiKCZs2aUVXrFaQcs3t3\nwaY1mBuGYYKqOx1HRERKyKsGZ8WKFezYsYOQkBAiIiLIyMggJyeHJk2akJqaCsATTzxBkyZNfBpW\nxFfcixdCjVqYXv2djiIiIqXAqwYnJiaGzp07069fv6Jj//rXv/jpp594+umnee+995g7dy7PPPOM\nz4KK+Irdvwc2fIW59hZM9RpOxxERkVLg1W3iq1evpm/f4usSrrrqKlatWoUxhuuuu479+/f7JKCI\nr9kliyCoOqbPtU5HERGRUuJVgxMSEsLatWuLHVu3bh3BwcEAnDhxggA98VXKIfvzj9i1qzG9B2Bq\n1nI6joiIlBKvupIRI0bwt7/9jQYNGhStwdm3bx+PPPII4HlOzm9neETKA7tkIQRWw8Rf73QUEREp\nRV41OG3btmX69OmsX7+ezMxM2rdvT4cOHahdu3bR+23btvVpUJHSZn85gP1mJebK6zG1g52OIyIi\npcjr60q1a9fmiiuu8GUWkTJlly6CgADMVQlORxERkVLmVYNTWFjIsmXL2LJlC4cPHy72nrZqkPLI\npv+C/erfmJ79MCFhTscREZFS5tUi4/nz55OUlESLFi3YvXs3Xbp0IScnh5YtW/o6n4hP2KXvgjGY\nq290OoqIiPiAVw3O119/zR/+8Af69etHlSpV6NevH48//jjfffedr/OJlDqbmY79IglzeTwmLMLp\nOCIi4gNeNTjHjx8nIsLziyAwMJBjx45Rv359fvjhB19mE/EJu+w9sBZzzUCno4iIiI94tQanfv36\nfP/99zRt2pTGjRuzaNEiqlevTnh4uK/ziZQqm5OFXfkJpmsvTEQdp+OIiIiPeDWDM3z4cFwuz9A7\n7riDPXv2sHbtWu6++26fhhMpbfaT96GgANNPszciIhWZVzM4TZs2LfrzBRdcwPjx430WSMRX7OEc\n7L+XYrpcgakT7XQcERHxIa+fg5OWlsbevXvJz88vdrx79+6lHkrEF+ynH8CJ45h+g5yOIiIiPuZV\ng/P+++/z7rvvEhMTQ2BgYNFxY4waHCkX7JHD2M+XYGK7Yy6IcTqOiIj4mFcNzuLFi5k8eTIxMfrF\nIOWT/ewjyM/D9LvZ6SgiIlIGvFpkXKtWLaKionydRcQn7NEjnganfVdMTEOn44iISBnwagZn+PDh\nvPLKK/Tv35+QkJBi70VGRvokmEhpsZ8vgaNHcPUf7HQUEREpI141OAUFBWzcuJHVq1ef9N6CBQtK\nPZRIabH5edikD6B1LOaiJk7HERGRMuJVg/Paa69xyy23cPnllxdbZCzi72zyUsg9jGuAZm9ERCoT\nrxoct9tNr169ih72J1Ie2GPHsMvehxbtMI0vdjqOiIiUIa86lmuvvZbExESstb7OI1Jq7MplcDhH\na29ERCohr2Zwli5dSnZ2Nu+//z61atUq9t7LL7/sk2AiJWFPHPdsqtm8FaZ5S6fjiIhIGfOqwXno\noYd8nUOkVNnVSZCdiWvkGKejiIiIA7xqcFq0aOGzALm5uUydOpW0tDSioqIYM2bMSbNEAA888ABB\nQUG4XC6qVKnC5MmTfZZJyjdbcAK79F1ocglc0sbpOCIi4gCv96LylcTERFq3bk1CQgKJiYkkJiYy\ndOjQU46dMGECwcHBZZxQyhv75eeQmYZr6P0YY5yOIyIiDnD8tqiUlBTi4uIAiIuLIyUlxeFEUp7Z\nwkLs0nfgoqbQqoPTcURExCGOz+Dk5OQQFhYGQGhoKDk5OacdO3HiRFwuF1deeSXx8fFlFVHKEfvN\nCkg7iOuBP2j2RkSkEiuTBmfixIlkZ2efdHzIkCHFXhtjTvtLaeLEiYSHh5OTk8Nf/vIXoqOjT7s2\nKCkpiaSkJAAmT57sk+0kAgICtE0F/lUHW1hIxrJ3MQ2bEt6nf5k1OP5UA6eoBqrBr1QH1QD8owZe\nNTi5ubl8+OGH7N27l/z8/GLvPfXUU2f9+vHjx5/2vZCQELKysggLCyMrK+u0a2zCw8OLxnfq1Ild\nu3adtsGJj48vNsOTnp5+1oznKjIy0ifnLW/8qQ7ulJXYn/bhuvf3ZGRklNnn+lMNnKIaqAa/Uh1U\nA/BtDaKjo70a51WD8+KLL1JQUEC3bt1KfauG2NhYkpOTSUhIIDk5mU6dOp00Jj8/H2st1atXJz8/\nn40bNzJw4MBSzSHlm3W7sUsWwgUXQvtuTscRERGHedXg7Nixg9dee42qVauWeoCEhASmTp3K8uXL\ni24TB8jMzOSVV15h3Lhx5OTk8NxzzwFQWFhI9+7dadeuXalnkXJsw9fw017MXY9itKWIiEil51WD\n06BBAzIyMqhXr16pB6hduzZPPvnkScfDw8MZN24cAHXr1mXKlCml/tlSMVhrcS9ZAHWiMZ26Ox1H\nRET8gFcNTqtWrfjrX/9Kz549CQ0NLfZe7969fRJMxGsb18C+3Zjhv8O4qjidRkRE/IBXDc62bduI\niIhg06ZNJ72nBkecVDR7E1EH0yXO6TgiIuInvGpwJkyY4OscIudnywbYswMz7H5MgOOPdRIRET9x\nzr8RrLVYa4teu7SgUxxircW9eAGERWK69XE6joiI+BGvGpzMzEzmzJnD1q1bOXLkSLH3FixY4JNg\nIme1YzPs2oK55W6MD+7wExGR8sur6ZfZs2cTEBDAk08+SVBQEP/3f/9HbGwso0aN8nU+kdNyL14A\nIWGY7lc6HUVERPyMVw3Ojh07uO+++2jYsCHGGBo2bMh9993H4sWLfZ1P5JTsrq2wbSPmqhswgdWc\njiMiIn7GqwbH5XJRpYrn9tuaNWty6NAhqlWrRmZmpk/DiZyOe8kCqBWMievrdBQREfFDXq3Badq0\nKevXr6dz5860bduWqVOnEhgYSJMmTXydT+Qkds9O2LwOc+PtmGpBTscRERE/5FWD89BDDxXdOTV8\n+HA++ugj8vLy6N+/v0/DiZyKe8kCqFEL06uf01FERMRPedXg1KxZs+jPgYGB3HTTTT4LJHIm9sc9\n8O03mOtuxQTVcDqOiIj4Ka8anBMnTvDOO++wevVqDh8+zPz58/n222/5+eef6dtXayCk7LiXLIDq\nNTB9BjgdRURE/JhXi4znz5/Pjz/+yOjRozHGAHDhhRfyySef+DScyP+yB/bBui8xvQdgatRyOo6I\niPgxr2ZwvvnmG6ZNm0ZQUFBRgxMeHq67qKRM2SWLIDAIE3+d01FERMTPeTWDExAQgNvtLnbs0KFD\n1K5d2yehRH7LHvwJm7IS0/MaTK1gp+OIiIif86rB6dq1K9OnTyc1NRWArKws5syZw2WXXebTcCK/\nsh8vgqoBmKsSnI4iIiLlgFcNzq233kqdOnV49NFHOXr0KKNHjyYsLIybb77Z1/lEsGkHsV//G3NF\nX0xwqNNxRESkHPBqDU5AQADDhw9n+PDhRZemfl2LI+Jrduk74KqCufoGp6OIiEg5ccYGJz09/ZTH\nMzIyiv4cGRlZuolE/ofNSMN+sRzT4ypMaITTcUREpJw4Y4PzwAMPnPUECxYsKLUwIr9ll70LgOmr\nh0uKiIj3ztjgXHTRRRw/fpy4uDh69OhBeHh4WeUSwWZnYld+irmsNyYiyuk4IiJSjpyxwXn22WfZ\nt28fycnJjB8/npiYGK644gq6dOlCYGBgWWWUSsouex/chZhrBjodRUREypmz3kXVoEEDhg0bxowZ\nM+jfvz9r167l7rvvZvfu3WWRTyopeygbu2IppkscJqqe03FERKSc8eo2cYCDBw+yZcsWdu7cSaNG\njahVS4/KF9+xn34AJ05g+ulRBCIicu7OeIkqNzeXVatWkZycTH5+Pj169OCpp57SnVPiUzb3EPbz\njzGx3TH1YpyOIyIi5dAZG5x77rmHOnXq0KNHD5o3bw54ZnIOHjxYNKZVq1a+TSiVjv3sIziWh+k/\nyOkoIiJSTp2xwQkNDeX48eN89tlnfPbZZye9b4xh+vTpPgsnlY89egT72WLo0A1T/yKn44iISDl1\nxgZnxowZZZVDBAC7fDHkHcHVf7DTUUREpBzzepGxiK/Z/KPYpA+hbWdMg8ZOxxERkXJMDY74Dfv5\nUjhyWLM3IiJSYmpwxC/YY/nYTxOhZXtMo2ZOxxERkXJODY74BbtiGRzOwTVAszciIlJyanDEcfbE\ncc+2DBe3xjRt4XQcERGpANTgiOPsqk8hJ1OzNyIiUmrU4IijbMEJ7L/ehaaXwsWtnY4jIiIVxBmf\ng1MWcnNzmTp1KmlpaURFRTFmzJhT7nN15MgRZs2axY8//ogxhvvuu6/o6cpSftkvlkNmOq5hD2KM\ncTqOiIhUEI43OImJibRu3ZqEhAQSExNJTExk6NChJ42bN28e7dq149FHH6WgoIBjx445kFZKky0o\nwC59Bxo2g5btnY4jIiIViOOXqFJSUoiLiwMgLi6OlJSUk8YcPXqUrVu30rt3bwACAgKoWbNmmeaU\n0me/SYb0X3ANGKzZGxERKVWOz+Dk5OQQFhYGePa+ysnJOWlMamoqwcHBzJw5k71799K4cWOGDx9O\nUFDQKc+ZlJREUlISAJMnT/bJ7ucBAQHaVZ3zr4MtLCRj2fuYRs0I731NuW5w9L2gGoBq8CvVQTUA\n/6hBmTQ4EydOJDs7+6TjQ4YMKfbaGHPKX3SFhYXs2bOHkSNH0qxZM+bNm0diYuJJX/+r+Ph44uPj\ni16np6eX8H/BySIjI31y3vLmfOvg/joZe2AfrnvHkpGR4YNkZUffC6oBqAa/Uh1UA/BtDaKjo70a\nVyYNzvjx40/7XkhICFlZWYSFhZGVlUVwcPBJYyIiIoiIiKBZM88Tbrt27UpiYqLP8opvWbcb+/Ei\niG4A7bs6HUdERCogx9fgxMbGkpycDEBycjKdOnU6aUxoaCgREREcOHAAgE2bNhETE1OmOaUUrf8K\nDuzD9LsZ43L8W1BERCogx3+7JCQksHHjRkaPHs2mTZtISEgAIDMzk0mTJhWNGzlyJNOmTeOxxx7j\nhx9+4IYbbnAqspSAtRb3kgVQtz6mU3en44iISAXl+CLj2rVr8+STT550PDw8nHHjxhW9btiwIZMn\nTy7LaOILG1Pgxz2YEQ9jXFWcTiMiIhWU4zM4UnlYa3F/9DZE1cN0iXM6joiIVGBqcKTsfLcO9u7C\nXDMQU0WzNyIi4jtqcKRMWGtxL14A4VGYbr2cjiMiIhWcGhwpG9s2wvfbMH1vwgRUdTqNiIhUcGpw\npEy4lyyEkHBM9/izDxYRESkhNTjic3bnFti+CdP3BkzVQKfjiIhIJaAGR3zOvXgB1A7B9OjrdBQR\nEakk1OCIT9k9O2DLesxVCZhq1ZyOIyIilYQaHPEp9+IFULM2puc1TkcREZFKRA2O+Izd9z1sTMHE\nX4cJquF0HBERqUTU4IjPuJcshOo1Mb0HOB1FREQqGTU44hP2p72w7ktMnwGYGjWdjiMiIpWMGhzx\nCbtkIVSrjom/zukoIiJSCanBkVJnD+7HrlmF6dUPU7O203FERKQSUoMjpc5+vAiqBmKuvN7pKCIi\nUkmpwZFSZVN/xn6djInriwkOdTqOiIhUUmpwpFTZpe+AqwrmqhucjiIiIpWYGhwpNTYjFfvlckyP\nqzCh4U7HERGRSkwNjpQa+693AYPpe6PTUUREpJJTgyOlwmZlYFd9irm8DyY8yuk4IiJSyanBkVJh\nl70Hbjem701ORxEREVGDIyVnD2VhVyzDdO2FiarndBwRERE1OFJy9pNEKCjA9LvZ6SgiIiKAGhwp\nIfehbOy/l2I69cDUjXY6joiICKAGR0ro6EcL4PgxTH/N3oiIiP9QgyPnzR7N5ejH70CHbpjoBk7H\nERERKaIGR86b/Wwx9ugRXP0HOx1FRESkGDU4cl5s3lFs0odU69Qdc2Ejp+OIiIgUowZHzk/uIYhp\nSM1BI5xOIiIichI1OHJeTFQ9qjz+V6o2vdTpKCIiIidRgyMiIiIVjhocERERqXDU4IiIiEiFowZH\nREREKpwApwPk5uYydepU0tLSiIqKYsyYMdSqVavYmAMHDjB16tSi16mpqQwaNIj+/fuXdVwREREp\nBxxvcBITE2ndujUJCQkkJiaSmJjI0KFDi42Jjo5mypQpALjdbu655x46d+7sRFwREREpBxy/RJWS\nkkJcXBwAcXFxpKSknHH8pk2bqFevHlFRUWURT0RERMohxxucnJwcwsLCAAgNDSUnJ+eM41evXs3l\nl19eFtFERESknCqTS1QTJ04kOzv7pONDhgwp9toYgzHmtOcpKChg7dq13HrrrWf8vKSkJJKSkgCY\nPHkykZGR55H6zAICAnxy3vJGdVANQDUA1eBXqoNqAP5RgzJpcMaPH3/a90JCQsjKyiIsLIysrCyC\ng4NPO3b9+vU0atSI0NDQM35efHw88fHxRa/T09PPPfRZREZG+uS85Y3qoBqAagCqwa9UB9UAfFuD\n6Ohor8Y5fokqNjaW5ORkAJKTk+nUqdNpx+rylIiIiHjD8QYnISGBjRs3Mnr0aDZt2kRCQgIAmZmZ\nTJo0qWhcfn4+GzdupEuXLk5FFRERkXLCWGut0yF87cCBA6V+Tk1BeqgOqgGoBqAa/Ep1UA3APy5R\nVYoGR0RERCoXxy9RlVdjx451OoJfUB1UA1ANQDX4leqgGoB/1EANjoiIiFQ4anBERESkwqny5z//\n+c9OhyivGjdu7HQEv6A6qAagGoBq8CvVQTUA52ugRcYiIiJS4egSlYiIiFQ4ZbJVQ0WzYcMG5s2b\nh9vtpk+fPkUPJ6xMZs6cybp16wgJCeH55593Ok6ZS09PZ8aMGWRnZ2OMIT4+nn79+jkdq8wdP36c\nCRMmUFBQQGFhIV27dmXQoEFOx3KE2+1m7NixhIeH+8UdJGXtgQceICgoCJfLRZUqVZg8ebLTkcrc\nkSNHmDVrFj/++CPGGO677z6aN2/udKwydeDAAaZOnVr0OjU1lUGDBtG/f/8yz6IG5xy53W7mzJnD\nn/70JyIiIhg3bhyxsbHExMQ4Ha1M9ezZk759+zJjxgynoziiSpUqDBs2jMaNG5OXl8fYsWNp06ZN\npfs+qFq1KhMmTCAoKIiCggKefPJJ2rVrV+l+qAN8/PHH1K9fn7y8PKejOGbChAln3E+wops3bx7t\n2rXj0UcfpaCggGPHjjkdqcxFR0czZcoUwPP78p577qFz586OZNElqnO0a9cu6tWrR926dQkICOCy\nyy4jJSXF6VhlrkWLFtSqVcvpGI4JCwsrWkBXvXp16tevT2ZmpsOpyp4xhqCgIAAKCwspLCzEGONw\nqrKXkZHBunXr6NOnj9NRxCFHjx5l69at9O7dG/Dspl2zZk2HUzlr06ZN1KtXj6ioKEc+XzM45ygz\nM5OIiIii1xEREezcudPBROK01NRU9uzZQ9OmTZ2O4gi3283vf/97Dh48yNVXX02zZs2cjlTmXn/9\ndYYOHVqpZ28AJk6ciMvl4sorryQ+Pt7pOGUqNTWV4OBgZs6cyd69e2ncuDHDhw8v+gdAZeT0Btma\nwREpgfz8fJ5//nmGDx9OjRo1nI7jCJfLxZQpU5g1axbff/89+/btczpSmVq7di0hISGO3xLrtIkT\nJzJlyhT+8Ic/sGzZMrZs2eJ0pDJVWFjInj17uOqqq3j22WepVq0aiYmJTsdyTEFBAWvXrqVr166O\nZVCDc47Cw8PJyMgoep2RkUF4eLiDicQpBQUFPP/88/To0UO73AM1a9akZcuWbNiwwekoZWr79u2s\nWbOGBx54gBdeeIHNmzczbdo0p2OVuV9/DoaEhNCpUyd27drlcKKyFRERQURERNEMZteuXdmzZ4/D\nqZyzfv16GjVqRGhoqGMZ1OCcoyZNmvDzzz+TmppKQUEBX3zxBbGxsU7HkjJmrWXWrFnUr1+fAQMG\nOB3HMYcOHeLIkSOA546qjRs3Ur9+fYdTla1bb72VWbNmMWPGDB5++GFatWrF6NGjnY5VpvLz84su\nz+Xn57Nx40YaNGjgcKqyFRoaSkREBAcOHAA8608q200H/8vpy1OgNTjnrEqVKowcOZJnnnkGt9tN\nr169uPDCC52OVeZeeOEFtmzZwuHDh7n33nsZNGhQ0eK6ymD79u2sWLGCBg0a8PjjjwNwyy230KFD\nB4eTla2srCxmzJiB2+3GWku3bt3o2LGj07GkjOXk5PDcc88Bnks13bt3p127dg6nKnsjR45k2rRp\nFBQUUKdOHe6//36nIzni1yb37rvvdjSHnmQsIiIiFY4uUYmIiEiFowZHREREKhw1OCIiIlLhqMER\nERGRCkcNjoiIiFQ4anBERESkwlGDIyJl4s9//jMjRozgxIkTPvuMGTNm8Pbbb/vs/CJSfqjBERGf\nS01NZevWrQCsWbPGJ5/hdrtLfI7CwsJSSCIi/kBPMhYRn1uxYgXNmzenadOmJCcn061bN8Az41K1\nalV++eUXdu7cSaNGjXjwwQeJiooC4KeffmLu3Lns3r2b4OBgBg8ezGWXXVb0tYGBgaSnp7Nlyxbu\nuOMOVq1aBcCSJUto2bIlY8eOZdCgQUybNo169eoVfV1ERARDhgzhu+++46WXXqJv374sWbKENm3a\n8NBDD7F27Vrefvtt0tLSiImJYdSoUVx00UUOVE5EzpdmcETE55KTk+nevTs9evTg22+/JTs7u+i9\nVatWcdNNNzFnzhwaNmxYtFFlfn4+f/nLX+jevTuvvfYaDz/8MHPmzGH//v3FvvaGG27up4nLAAAD\nGUlEQVRg/vz5XHHFFXTv3p3rr7+eN998k7Fjx3qVLTs7m9zcXGbOnMk999zDnj17ePnll7n77ruZ\nO3cu8fHxPPvssz69tCYipU8Njoj41LZt20hPT6dbt240btyYunXrFs20AHTo0IEWLVpQtWpVbrnl\nFnbs2EF6ejrr1q0jKiqKXr16UaVKFRo1akSXLl348ssvi762U6dOXHLJJbhcLgIDA88rnzGGQYMG\nUbVqVQIDA0lKSiI+Pp5mzZrhcrno2bMnAQEB7Ny5s8S1EJGyo0tUIuJT//73v2nTpg3BwcEAdO/e\nneTk5KJd2CMiIorGBgX9f/v2z9JIEMdh/ImFniCKJL1iQEzASlIJglrY5w24jVjZWukrCJjKVkkn\n+AYUqwRBsFArEWORLoh/C8Uoa9biIBhBOc7TO/aeTzezOzu/nerLzO4Penp6uLm54eLigmq1ShAE\nrevPz89MTEy02q/H/q7e3t62cHR5eUm5XGZra6vVF4Yh19fXn55L0vcx4Ej6Mk9PT+zt7dFsNpmb\nmwN+hoX7+3tqtRoAV1dXrfsbjQZ3d3f09/eTTCbJZrMsLy+/+/xEIvFhG6Crq4vHx8dW+/b2ti0Y\nvR2TTCbJ5/Pk8/lff1FJ/xyPqCR9mf39fTo6OigWixQKBQqFAsVikUwmQ6VSAeDw8JCTkxPCMGRj\nY4Ph4WFSqRRjY2PU63UqlQphGBKGIWdnZ23f4LzV19fH+fl5W9/g4CC7u7s0m02Ojo44Pj7+sObp\n6Wl2dnaoVqtEUUSj0eDg4ICHh4fPL4ikb+MOjqQvUy6XmZycJJVKtfXPzMywvr7O6Ogo4+PjbG5u\ncnp6ytDQEAsLCwB0d3eztLREqVSiVCoRRREDAwPMzs6+O9/U1BQrKysEQUA2m2VxcZEgCFhdXWV7\ne5tcLkcul/uw5nQ6zfz8PGtra9TrdTo7OxkZGSGTyXx+QSR9m0QURdHfLkLS/+n1L9uS9Cd5RCVJ\nkmLHgCNJkmLHIypJkhQ77uBIkqTYMeBIkqTYMeBIkqTYMeBIkqTYMeBIkqTYMeBIkqTYeQFKUQzu\noCgNGAAAAABJRU5ErkJggg==\n", "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 5 as target." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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mDOxkpxjgsLddoTSK6GgndUcO0V3ANE2T0kNHeH3Le7yxZSvHKqtw2O1kzpvD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\nwaPaBtdAjbFRN4iIiIiEDAU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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(magnitudes['r'][4], \n", " magnitudes['r'][5], \n", " stellarities['r'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 15.5 and 17.0." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for r band:\n", "Correction: -0.09081047732276204\n", "Number of source used: 157\n", "RMS: 0.009364575272746709\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['r'], num, std = aperture_correction(\n", " magnitudes['r'][4], magnitudes['r'][5], \n", " stellarities['r'],\n", " mag_min=15.5, mag_max=17.0)\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.c - z band" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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/vw6nfgy1L72S6AvSMBE142aO+lvQDCC4M4iIiAjofQEVnopQUlLC7Nmz6dix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"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 4 as target (no correction)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(magnitudes['z'][4], \n", " magnitudes['z'][4], \n", " stellarities['z'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 16.2 and 17.5." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for z band:\n", "Correction: 0.0\n", "Number of source used: 306\n", "RMS: 0.0\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['z'], num, std = aperture_correction(\n", " magnitudes['z'][4], magnitudes['z'][4], \n", " stellarities['z'],\n", " mag_min=16.2, mag_max=17.5)\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": [ "## II - Stellarity\n", "\n", "Legacy Survey does not provide a 0 to 1 stellarity so we replace items flagged as PSF accpording to the following table:\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": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "stellarities['g'][np.isclose(stellarities['g'], 1.)] = 0.9\n", "stellarities['g'][np.isclose(stellarities['g'], 0.)] = 0.05" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "orig_legacy.add_column(Column(data=stellarities['g'], name=\"stellarity\")) #Stelarites computed earlier" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Column selection" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "imported_columns = OrderedDict({\n", " \"objid\": \"legacy_id\",\n", " \"ra\": \"legacy_ra\",\n", " \"dec\": \"legacy_dec\",\n", " \"flux_g\": \"f_90prime_g\",\n", " \"flux_ivar_g\": \"ferr_90prime_g\",\n", " \"apflux_g\": \"f_ap_90prime_g\",\n", " \"apflux_ivar_g\": \"ferr_ap_90prime_g\",\n", " \"flux_r\": \"f_90prime_r\",\n", " \"flux_ivar_r\": \"ferr_90prime_r\",\n", " \"apflux_r\": \"f_ap_90prime_r\",\n", " \"apflux_ivar_r\": \"ferr_ap_90prime_r\",\n", " \"flux_z\": \"f_mosaic_z\",\n", " \"flux_ivar_z\": \"ferr_mosaic_z\",\n", " \"apflux_z\": \"f_ap_mosaic_z\",\n", " \"apflux_ivar_z\": \"ferr_ap_mosaic_z\",\n", " \"stellarity\": \"legacy_stellarity\"\n", " })\n", "\n", "\n", "catalogue = orig_legacy[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": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/ipykernel/__main__.py:17: RuntimeWarning: divide by zero encountered in true_divide\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: divide by zero encountered in log10\n", " magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: invalid value encountered in log10\n", " magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:80: RuntimeWarning: divide by zero encountered in true_divide\n", " errors = 2.5 / np.log(10) * errors_on_fluxes / fluxes\n" ] } ], "source": [ "# Adding flux and band-flag columns\n", "for col in catalogue.colnames:\n", " if col.startswith('f_'):\n", " \n", " errcol = \"ferr{}\".format(col[1:])\n", " \n", " #First we take aperture 4 if it is an aperture flux\n", " if 'ap' in col:\n", " catalogue[col] = catalogue[col][:, 4] \n", " catalogue[errcol] = catalogue[errcol][:, 4] \n", " \n", " #Convert nanomaggies to uJy\n", " # 1 nanomaggy = 1.e-9 maggy\n", " # 1 maggy = 3631 Jy\n", " # 1 nanomaggy = 3.631×10-6 Jy\n", " catalogue[col] = catalogue[col] * 3.631 #* 1.e9\n", " catalogue[errcol] = (1/np.sqrt(catalogue[errcol])) * 3.631 #* 1.e9\n", " catalogue[col].unit = u.microjansky\n", " catalogue[errcol].unit = u.microjansky\n", " \n", " mag, magerror = flux_to_mag(np.array(catalogue[col])* 1.e-6, np.array(catalogue[errcol])* 1.e-6)\n", " mag[mag == np.inf] = np.nan #The very low fluxes yield infinite mags\n", " magerror[magerror == np.inf] = np.nan\n", " \n", " if 'ap' in col:\n", " mag += mag_corr[col[-1]]\n", " catalogue[col],catalogue[errcol] = mag_to_flux(mag,magerror)\n", " catalogue[col] = catalogue[col] * 1.e6\n", " catalogue[errcol] = catalogue[errcol] * 1.e6\n", " \n", " # Add magnitudes\n", " catalogue.add_column(Column(mag , name=\"m{}\".format(col[1:])))\n", " catalogue.add_column(Column(magerror , name=\"m{}\".format(errcol[1:])))\n", " \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": 19, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "Table length=10\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
idxlegacy_idlegacy_ralegacy_decf_90prime_gferr_90prime_gf_ap_90prime_gferr_ap_90prime_gf_90prime_rferr_90prime_rf_ap_90prime_rferr_ap_90prime_rf_mosaic_zferr_mosaic_zf_ap_mosaic_zferr_ap_mosaic_zlegacy_stellaritym_90prime_gmerr_90prime_gflag_90prime_gm_ap_90prime_gmerr_ap_90prime_gm_90prime_rmerr_90prime_rflag_90prime_rm_ap_90prime_rmerr_ap_90prime_rm_mosaic_zmerr_mosaic_zflag_mosaic_zm_ap_mosaic_zmerr_ap_mosaic_z
degdeguJyuJyuJyuJyuJyuJy
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214203.30167634537.62268795071.567460.2889551.470180.2322373.267490.1851413.443510.1595494.648530.4208385.984980.9235730.923.4120.20015False23.48160.17150822.61450.0615196False22.55750.050305822.23170.0982933False21.95730.167546
315203.29964297837.6227875881.353130.2873921.002580.2322371.510380.1821711.803360.159551.908490.4196543.35860.923570.923.57160.2306False23.89720.25149923.45230.130954False23.25980.096059123.19830.23874False22.58460.298563
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725203.25855522837.62654981660.4653520.2816450.4444160.2322371.457150.1802952.540740.159552.254340.4154753.210520.9235690.924.73050.657119False24.78050.5673723.49120.134339False22.88760.068180623.01740.200101False22.63360.312333
826203.25983604237.62659357590.5600210.282730.7672590.2322371.500850.1802251.970570.159551.966370.4159461.538630.9235720.924.52950.54814False24.18760.32863523.45920.130377False23.16350.087908123.16580.229666False23.43220.651722
929203.26243009237.62549071266.172850.39045.28030.23223620.14570.25677418.26640.1595553.99850.70560851.30780.9235690.0521.92380.068667False22.09340.047752420.63950.0138386False20.74590.009483519.5690.0141875False19.62450.0195439
\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 19, "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": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The initial catalogue had 38302 sources.\n", "The cleaned catalogue has 37693 sources (609 removed).\n", "The cleaned catalogue has 600 sources flagged as having been cleaned\n" ] } ], "source": [ "SORT_COLS = [\n", " 'merr_ap_90prime_g', 'merr_ap_90prime_r', 'merr_ap_mosaic_z']\n", "FLAG_NAME = 'legacy_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": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_XMM-13hr.fits\")\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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7IXN7X/rheNvlecG3X2Uqmd11112YOHEibrrpppTtixcvxty5c7Fg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\nBweLXi8XLl26hL6+PkyaNMlo++TJk81mqq6uxuTJk0321ev1uHTpkqi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Dp06dwh133IEvfelLGNvSt3V46aWXcP/99+Pd7343brvtNtx777147rnn1nU6\nEV2wMQBvb4LTxLioT54wLup5obVZrGrcmCy8nO5cFeleAMxCs7Vhjr0uYedc+H4owo0lfO/QS8tK\nhKmXxqZUEWNuhK9EJMIoT3XCot8rDFLu9aoLr582dxCgNXSeW2sZABi5nw65OTDztDmory7o/4Wp\nW6C0gtI52FnfTZX5lK1Q6XsQFkSuNcZaQzl+h9tnkphjJQnGKselfGTGB+D1zJXrXlMxrNGoaNVN\nly6bYwoB7OzM9sJUejJwee8CxflqnYPI1Gp2GRgTzySz+fmMWz5icaxVIRgOhzhz5gxuvPFGPPnk\nk3j66adx+vRpfPKTn8SPfvQjfOUrX8F3vvMdPPLII3j66afxyCOP4PHHH8fXvva12v2NRiN89KMf\nxebmJv7hH/4B//RP/4QbbrgBv/d7v4fR6AAQiyKqIAKfPA6+8eehf+mN0/sazIJSwHDPWCx7I8/F\naLG1AX1kG5wk0Fsbpsvdfq0mzMBwDxhl5u9EnJiBPQ2MAkvIFWZJ0/Jz/xymnU+S2OI4VO8ZcJAS\n2No0LuB+r7oYLyuWvgxYAcLMIK8wVKHoOW5E2j4NNNMjjPQOxnoXmdpp5kxYgQjN0+fcCb0W4YpM\na4y0Rp4r7GmG0tajEzSYyplN+iMIir3zdefKdmxyBbUwxvZ+HWeAILA/rV3TbcMKhESFZ8ChohC4\nc2GGFgnYdrPkqBSsFGtXCD71qU/hwQcfxPb2Nnq9Hs6cOQOlFF544QU8++yzuO2223DTTTdBSomb\nbroJ73jHO/DMM8/U7u9nP/sZbrvtNnz2s5/F0aNHsb29jY9+9KN45ZVX8B//8R/rPLWILuja2rgO\nqkzXIqJJL4EQwJFNU/Pg+JH9FWyZdQETmb+avU51AhgykGlgpIxisCwinyuY1GWu07TsbdBBuK4c\nVkgKz+LkJIHs9dtXtwQqGRWZGkOShICAYmUqHNYeG8bLorlMvQuvD7NJhd0dmkyHGeQ7xVzp2F38\n2m+UpBVSKbGd9KFYg8E4nm7YjQjo94GtLaPMbW62n4M2yDLr7hd2zhT0G64Bp4lRst9wzex9uLTV\nBq/LRKgk3NYpw6Bq6YqY3LAyrJVDcPLkSdx9993F+/Pnz+Mv//IvccMNN+Dd7343dnZ28Gd/9md4\n5pln8La3vQ0vvvginnrqKTzwwAO1+3vjG9+IP/7jP6589tJLL0FKiTe84Q0rPZerAmERm65Cyrm1\n/apty8reFAkZAAAgAElEQVRh9uPrZnDV74Uo2+MKuRwlpA4uTjqt3e3EWD1kutq2OVPAYMq8hCWC\nV4EDXHyGiCCZoElACjFVqOTaNPlJyP7Ob0CV5ygqMBKB4VnodfNKBKT2OtYVKcgyc3lJGDpDlk+1\n2AURNJswBKsyBFIoA/kekOUQeYZj6QaObRwDAKT+sVfJwHfNHPo9oxwQgJMnoP24/qz7sK4IlecB\nISltUSYz9401GAhF80i2SUURq8G+Pfk333wzsizDLbfcgsceewwnTpzA3XffjZ/85Cf40Ic+VPzu\nvvvuwwc/+MFW+3z55ZfxhS98AR/5yEdw7bUzCC8Rk3B9Z9waEwqxLulN4zFonAEkTCGizY2qK3XR\nHOYkAee5bUVssg4mQNTNepwHfpwUKAWKWzCLOdOAJmNp9tJS0RIhp2D64dh1wwNMLYYlItMazEAq\naLr1tmz4PuBpwsUV95EScoYyNNZ5kUWgWGMg07LIkkVfDDDKdwAW6MsBRJOkEVRWb5w2LR2ej54d\nv2aGSBOkvnDXuVEMGZAyBWUjcL8Puap72RPKxfwn0nisnOJeF05qQ/oL5yP4XZtCTEKYpQlTMowj\nloN9UwieffZZnDt3Dn/913+Ne+65B2fPnsX3vvc9PPHEEzh79ize+ta34vnnn8eDDz6Ira0tfOIT\nn5i6v3//93/Hxz72MbzrXe/CZz/72TWdxRUEBRRF3BnG4G6zUDchU4UqTwyTzuavDc6NOK/gUaqa\nZnVQXNtASXYkYf5KCfT6AHjS+k4k0NOlsOo3z3OhNyzzXO1OR5qNxQpAKcZGQ978SlCnUNX9pkOM\nXHEZn2Zm5FohCTSCRPaQyF55nzdxJojKVNUQbtteD6xslgY1pMIG6DU+U1TuB4Doei18lv6se6V4\nxgPhLmXpHej3zHv33T4U7opKwHqwr9N88uRJ3H///bj++utx9uxZPPbYY7jnnntw6tQp9Ho9vP3t\nb8eZM2fwzW9+c+p+/uVf/gUf+chH8OEPfxh/8id/AnnQK6odNASWE4Di4WdmaJ1BZyNon6k/C5UF\nwzKiQxb3vIvKQaqQ5hZI/7x8v2ZTTrzPvh6kwIYwoYIp926btT23/1pNkfejbKwNi1sBuaccHFb4\nzX00GJJENe3NV8zmLcDkZ40oZbJWtjZNlsMiAlMmQH9g/eQAZL99GMd5pVy4bxFIWc1O2a9CXRFr\nw1oVgieffBK33377RAbAeDyGlBJKqaLRh0Oe5yX7tAbf//738cADD+Chhx7C7//+769k3Fc8pjzf\nTBokJEhKgPXktfBjiT4GPTAzOMvA/oLrcqUX5Q/4i1KXBcotlMuiKjuuQkGAcuMJFs/Q+nQKkZuL\nlgIpDMn60N6lUR3kuStZ4P6RbuyVt3w4YeoE2ZJMwb5IinPoicR4C9x8h653l8YJGG0q02VHxmnj\nXmYILMRgE9g+Bmxsm4Jabe9xXxkIx1iHisJaM/++YuGPoSDFLsgFchhnJltoNI5pBPuItSoEt956\nK4bDIT7/+c/jwoULGI1G+PrXv44f//jHOH36NE6fPo2zZ8/iueeeg1IKzz//PL71rW/hrrvuKvZx\n77334utf/zoAYGdnB5/97Gfxmc98Bnfeeec6T+XKgwhehw+5LRxSUQimpcARAak03IEkqVaVW4aF\n0WVB8oWO4x1orpLMFkW4WCam1gLSxJROTmqUoDnnoW4zm51Wed9lRwMpC52gv04OQcjBWBKICH2Z\nYiBTpMJauOE9qrURQOPM/NsdGZ4HE5BjeqZAOOZVzJeU83XTdOfZRrA6JYnIkG/r9uOen7r7dxnn\n7ebZPdPrLI8cUcHaswy+8Y1v4OGHH8Z73vMeCCHwpje9CY8++ihOnTqFN7/5zThy5AgeeOABvPzy\nyzh69Cje//73V/gDL730Es6dOwcA+O53v4v//u//xkMPPYSHHnqocqyPf/zj0WPQFaFcFQLgBAxd\nKAPCsZxnSRztGIruNS/uGfDRdjEqiqGQSWJmlH0MVok19wCY22lCVHAbB2wnZtqwfUt+UWHgZ7AA\nqw8F1Y3XF3RjVa6IfjigKXXThYfc645YWeNAt6Mu8f4mLbNCdowVA690EE/zx1/BeOWVS/s9hIMJ\nZw14JK66Hu4AJi0Qf7FwJU8ZZn9SlNbOOhcV15PeQeVeWdsakt8hx0ozEn3lqoWCp9WoKKRDogch\nvFi0c1WHHoJV83/8e5bIK/8LEyro2bLASgM9KwypZlxKlWGFrr04MJnR6/SOhZBltuYFzH3tdjjv\nzeBb6tMUo2kYZ2aeCGaemsYyzsoJSacU0opYGNddd6TxuytrNYyYD356XGFNM6AzIE2b3cezcuJd\nqCCRk8SkdUEIU8LYnYOUJWdCLvn292PR+9QueKXrqO/1mZazD0C7LoKWXMmcAyzKpktOyPpW7DqE\nQHiMfgqMrRDd7NnCQx4Jtg5KWcFrvx9ncykFS4WreJkkpeLWpLDVkQPrmm1JOenO7wL3PBTzlDf3\nDuml+5K9EFFFVAiudoSNdpTuJrzrFhzfCguF4roeeH9xk545Vtf0ZlnIVWltugW50/Yep2FZnotF\nUkenYaZJW3PvOIXC3QIHoTSylMBGeB7CXgsXDqjpixBm0XSE88Sz9TKY3S1pLoRALUEQsBwaex1c\nF0EXNnFpmvY9dUz1nA2uV0YcojKw74gKQUSJZRGlwgUzJNytGnbR0UqZWktE9UVdXJx4GQtfqDx1\nlREV6xvzKRR1+1ReiTdgsfl3Hh9bYW/avoRIoJWqhAyKMraHYeGfppD5XqcFfP2C2JA3whh9Uf0S\n7UmFZAW88/C52gW+B8+FQlwYJMuNex4olALF1jsCBmluVTioEVICwssgceNzivphuA+uMkSFIKIa\n002TUngsy6XelIs/L7Q29eKlNClZNWBmZMxFiVjWumyV6/bhxubeL5oKKUWZ+1dX3nbd8IXvsq7B\nFEGptLYlgAEBgpB9MLOxNJ2Qy70Yt9hnN/u8EEG1yXkVtyblaDwG21oQUmmTpVIHlzlDZJtZJdXr\n47vrfU+Rn5LikxiYwWzSjAFTv2Hhu7jfq6+JMEsxrAthRKwcUSG42uE0dZ85vmgBEr9YD1BNX3Lf\nB6CXX4X82avgJIH6lV9sLjnMDHrlNROb1hp6nAHHJkkyyioDIJNTvxbqQpLMP3dEALyKhaGbeh4Q\nlQJjxe55ZgaDC76JZiNMCv6JE05FrYaVDWU9qMsiGWemmBDIKAyz7gEhANfa3SkWzMhzBW3nUqkc\nPe5N7qvi/YHl6njLeShwi+cbxjMAlF4Ed2xtlQG73UQ1ii4VEH34v2/zfCxbWY9ojTjLEVUXnl+D\nf1Yec5OULWL3ASu5yUq9vAP5wv8BXdyFPH8Ryf/+f5uPORqD3C6EAI3GtccXRKXXnhkU+vDdArPs\n6mvz5mYXVt6cued1EMJ4KghlvLgr/CqMy9aqxmPbunqJ9SD2C85ad0K0TY0L9xtGqbgRFWEu2L+q\nbt7rBL6P8Flz96XrSzDolwRE97skMSECNmMiEjh/CXjtInD5cuBh6IpwHWi6v/PcZEvE4kT7gugh\niKjCX2icEAgfXr8SGjA9Hcm3Ut378JCXdgErwJlRL+QdElmNzze45oUQkFpD5znIhQs4SDM8iCWu\n51EE/MyGEE1KgFP8fEHhw1cIW1VQJAimouSxDBsFJUmZhkqwhaGs1yDLDSeh7fUIlZN5rcdlEi4n\nBLT3uY9QiLt4vsvakBKUSuDc6yBm6O0tiDr3uRAmhdYJ/rp+B3V1Euq8Bn6jJWZIe6wLO+YSAcBu\nZi7hoFdzTm3QRlH2Uw9d5saa63lc7YgzHTEddQ+xb1XPik37i1hDPFCfOA62gp21hjpxvHl/SQJ9\n4ig4EeBUgo8fbfypFAIpgMQpLL4Sc6Ugz82qrbRZRNugLgk+hEsP1FwqHL4HqcaCE0IgERKJkKhN\nVU1Ts8inKYr2uoARiF2q04Xx8Hnhb7uMuv9un00COkSoQNj36cVdCG32k5x7HaTU5HNGZPP1qb4K\npvtNKFDD10IgUxoXRhoXhgoX98rwnvbqXxN5l2hVZED27knnsWxMa9XQerLUfcRiiB6CiCr82gLL\nevBnafi9FONb3wb5369CD1KI605OjxsO+uAmotU0LCI8fGu67bGKFscr1LtV2RWv1qOjlHHLg4x5\n5wuupnPRHpeBCNZ/3J0Y1gSty9LRTnAu4q2ZZxzhNotWdCIqCXT+MabBz9rwhDrlqiy3LBk6y0vu\nRUgU7eBV0U6xIKpkD+wp4+GRZC7LXs4YJISNHuPinmUSkMCgz5han6EtmgiDJKpzNkUZIOdViVgq\nokIQUSLPAGWtzKTXTGxzuctLYgELArjXg/6FG8pYvxOoiwpTv4/CvLF5d67OBdumd8J4DLgCT2nS\nvHBPq1+bZWaFdlUe61A5n0AAMYN2dq3CwODdPeDIlj0elfnntTXqm44RnGcXshhQFs1x1q1WQL/f\nTSFoG4+etQ+f9Or2s4xsk9CSn4aa68r9FDQcA4JMYzCX+TPvuTJD53l5XkqBlQKF196N3R5iY0NA\npubx6aeAbGoB3QZ+KWh4cw2UY0iTstKimBKGjFgZokIQYcBsFAL3cObZ9LTDJcbfK+vcsj36QgC9\n2b3pG+EKuTifaZvzLsr7wm6np29XF1d2TZiAMpBbpxQkSfX7cF/O0gdAWoOLojQSYEs4bKpmx9qm\nB3ohHz9rwZ3TyLHrUa/8+B4n9gYkpVF2ut5LfhbLIsLbesPYjo3cGPcbJ45Bp7vmHtgcGO/AIuPy\nFTe/+JglM24khMsZg4mQCMYgKRWFXmL+FfCte6Dd/PvXP8xUCJWnmoqPRepq8TPrtQpOrfjA7Sui\nM6JCEHFw4C8Q87qjV4HQtTxrESwsLS9G3ga+gGtrZQoB9BrGIwRYCFtnhsGhQuEtrBXkeb3F7DwY\nvjKgFIqQgnvvC3ifG2BJc9A5Cu/JvPUa5rWWA5iREFgzwAqCCOIg9LfY3lzevojKehzM1utfzl0i\nBI4XEbgW3q9F5t0pyC40KcXUfWqtUHZZNV04zdip2F0BF37xqzBGdMIBuPMjDgSISvc6wYQMloFZ\nucvh9yJYIPZbMQiVlDbCwuaTF3ni07Zx+w/PM2SRz7u4bW+CXa57rzfJBajLLpiGuutYGfu07yxc\nuhvt76LNzoMiBFjlADFICmitykZM8+CgKLIO9rkS7j4qrHyU/JN50JaTE4YYU+vJ8q9/zX0SegbC\n9xWEnou6ds0RMxEVgogSSQ+QC7onffiCR9e4zf3UN2eJuofYL2YUCrF5LLiupEAHf8xdtk+Sdk9X\n0z5dYxo3L/NeEyITo/cxbaGcZ36Udx1Ddn1TvP8ApHwSEUDWahYTlSrWi46kxqnCsQ6hx8cpB12v\nt68gd9nWKclhSGvqoZxnoOW4IhZGVAgiqljmgxUyouusRf97fzsfPiEK6Eb8YgZGI7hiK5Yd1fhz\npTXGOkciZMH01lQKi7WKMd9j4t53wbzM+SSZXtsgxLROf74QWtGirS1/Qcxh7QoAmgDWDCn2Saj4\nyq4LuUzx4uhsD2AFJgJkv703I2z9PI/3bVHCZfh+5r1dKgUiXAP80JX/rPifR3RCVAgiVodQyE9b\nTJoWJ6WBvbGJCbo+6V0Ugjwvw+SCDAGvYbHQzNjJ90AkMM4V+kJikPQqleOU1pDrckVqbTIN3Lwk\n3vk7NHkY/Nh910ZJs8IcbeHX+u8qfFqWyd3Ld5GxyejoywF6ols6qhDCRM2FgNba3KbzCst5ESrO\nSnl1GtgN1GQLjPZAKK8n63w5Za67YJl9BmbMcckZ8KBUGY6zLdoBRCVgCYhBlogSRVrQkuAvFkVc\nXVXT+HzugF+FDTDCfLhnYp15bhSDrtq/y3cPS8vWYKxzkLUyBREy1t1dswGYgdyv45PnpoBQls2e\na9+ydoICKN+HLO3wwHWvV4mGgkXFGKZ97+6LsILilLFr1sh4DEESggQyNVpo+EIICKXMtcnybsWS\nFkGoOIecDPfZaGSVxBwYz1HueRmkXffsun3sB/yiWqCJ62QUO1O4KKIboofgasEs11zYJ11K89ZL\nG55LLvpKgZ+Op1Q1pc3BWR/MJu1RWGJdIkrLte1AXMEXZePczEEOVRUJCYyQwdqMkM468RagrlOQ\na7ONBqDHCgm8xczNQVt0jRnPs928yG3mAGCyCPzzCgtdhQLFkfsAFNXqWo+ZGl7PAV/hAmrTRX3Z\ns7BB6pQk99pX/jRXP7fFooRIjKBTGQAJiBb3j1JAplD0tFgm9pv0y1whRhoF3rwmImitsVAL56sM\nUSG4GjAamcUNVB9DdwuTJ6iYhOl25q3hK3/u/XG412E99q6DYDYV5BymbJ8IiQ30MFYm/WxDGlek\ntO5kIjLFXDoc2q8DYP3RwQ+mQMoylcp34/vbNY3HDy0sa0FUymtEZO+lIksCk/K4Kabru5yZjfAr\nxjjdK1DZPQn0RB+5LkMGCyEMFQTnEzo3JiJXXXsjVCzdcBtdKgPePCrWYJkClCJJN9odw4XcQOb6\n5TmI2TQ33hp0Dye1TYldFSrFxqplm2uJiH6GQ925Lvs5OcSICsGVCuayk1yuTHcz99nGoObm9wWV\nt491PvD+8YQAWBmhE7bObYuQlNfige+JBL0aq2seK4MIVaFS5OBb6Tmr3n14zl1it02L37zwrVkA\nRRtd1+a3kRNGXpphTWzeMv3Lz4PUzhn3X18OFlcEHJzw1TYlL5i/qXpKKNydIhRmz3QZi488hwYD\nOYMSAWz0Zlu/rriV1sbzkqbA3hiUSEDYtuCjMbC50Z64ugpFsytmrAUVfdnfBpjU4lzlTBeS67rG\nXGGICsGVisyWIHYW6Whk89Dt92HBGSlKl34iS6+lNlbtUvQCJxiAeiKUy1cGUOT8C1EVKF3hpzG6\nY3cVlPOy/GEiHa5HjBRkwiAB615rDYYZG0HUL/JN3pNVw82bf6w6RdFnxjddWwBF1oG/j0pq5z5b\naVNCOJUU/llRDceX0WwUp0ROCptWLHt4KZ0JkBKKRkgzOSjueyoFXyJRcecQjAfBrReD3myheMAt\n6YlshGnw1xU/I+YqRVQIrlQUeXISEBrQtqJc08MuZbXxDexzsWwPQV0hHP8YTrD44QHfvTzPeFy5\nVj9231YpeP0SxM/OgaDBJ45BX3uy06GJgKQy5EnLnaFL4uI0kmBogXaBX8/BhSGknM5hKJQoKq0o\nty/marphF49EWIzGSdq5iSrrwdSECf8cCu8AV74z/QSMMBYi6ZZSygwhBJQttUz2fYE675HKDXcA\nMN62ngkP8O4eSNm0xX4ftDMsDAfey64YK1lrDbDt2wABIeV0Ye8UrasYUSG4UtFLDUOf2bjd+1vl\n4jOLqd/0ULh+5SBDzltUk/at9rosA6CM/7nxzqvBz/mgi1fPgaQAIEDnLwLHj5nF01/I12FRhN6T\nLnUYnOu4YlWSCSVNE+TsW5ICAJehpzrlpMsc11lxTpAecAut8TRDLwisUsBsaiUIwFWyKKohtpkz\nz00v64i1fmZGhXtD5b3qCo4RAVsbZRGm/coUWAvMnFCSgLUuy3j7kNKrubG6WhmHBVEhuFJBVMYG\nw8V73nQj372WKaDfQSiFxwyJjHULk1JGCQGM8OrNWUWRCIbnT8sROP5Yl2DZEkRVUDehznsyC26x\nc6GjPC+bVs3ah69AMJcMdW87nWsztWCQJKs8zUaRzjnLpbso9iveLYQlhY6rxMACHQXxrGwUy6h3\n9zlRChJUZiE0CX4icJpWQwZd4KdJHmRh6o9NKWMsjTIT09sYLNYA7QpCVAgOK9paZeH3LVyTtb+Z\nIIO1XNBcYSBH0uqyaPhNUJylO8+DW/H1drMC9DUnjZcADD5x1KYxLje/uRNhcVHB5uYBMHPhCtzY\nzyo1F4TABNvdg9YAFQV0CKwY1KYZpG1Yo7WGFLIajlgmfIVzVbFhv6aGz1dxc2zDKuZ8c0PkYwbR\nHMWamkBk3OJksz0EgVmDkxQYZ0YXdM9enQI76JUZI12Q5aa9tmZwIoAj26u7jsAc18/evwCIZHlv\nj8bAODfvcw0eZ/Up0FchokJwGDEa24UI5kFeVlW5zDLghZiMIyYJoMblgtImzujCCz6Rsa7UqHsf\nggDXfGZmmGMW5rVgjh+BPrZd9Sz4lvMKS/IuBUXqon3fm0zB1DqDzkcAaxAEZLpZH75ZArTWoNEY\nyBVo0IcGGYXIn8/hyFisUhgv17T5rbNQ66zhVVyjPC/DLr4Hy933DPM6SUzMX6bmdmaAXMMpIapp\nsV3hKx9uf0JA5yZdFv0+NAHCr39Rh3nmZ29klW0yiSJ7Y2CjW6XImVhAqTOKdh1BF5WsFmKeTFW8\nShEVgsMC52JntgQ5YQRm1rG4TRPcwgYycc864l2/t9xUxLqH24+FJokNGXBRLGlfECoTh8mScMrb\nlOvGKjMOHyYwK+hsBOHHnBvOVwhACyr4CZQEvABfoXO4vAsxHBqrdncIXHPCfJ/bwjl5DhoOC84E\nA8BWQytgPxWyLpTin/MqUmi1t88KQ52qiopVJsnFsMejqpDrWlq6OH6pDJAQ0Mzm0NqGoRw8Kkj5\n2RLmY2KuF9tdp+MtglQCmQRnNmSQplWOzrp4QQcQUSE4DFDKxLsItsAQl3HgVfVoc/XCBXXKC69A\nCJt3797PWPTqUoDm5Q0cFCyQsrhUtAkVuZ/CuwYzLCeR1FlgnnAgVCw7meVgaz0TyKTDSu/+2htX\nPTFqyvFnFcjpWIOiEOJtfy+C8RV1DPJyX3KOGgRzQhCBHflzWqOmZRE3N/rgnV2QZnAiDeF02XDe\nLTePy3iOer0yldmFUvww4CHIeFkVokJwGJDr8gFPpHnvrIE0XY5inviuZTYMZQKKXgDzeiHm3S7P\nTQjDxf+nddRbJ7pYVqG7EygZ/0Is5ZxMGhqD2DLQHTos+CT7YD0EqxxC9kEdeRZdwFJAKLvYsoZ2\nQrs4HhuvUCIBEDBYYInqsqiHJNc27ukkAZBPcgiKSnpUVW4c0qQkyzry4TxwVq2dPw1zP4AIDIXE\nEjrMELxUz1k1JVqAmU3a4vbWXEW7ZkJrM0eOX5JnwGBJBaiAWk5MgatQEXCICsFhgHO9AmUaYZqY\n0gJkUowXXsOFKOPLTmj5Ls91wNfUR+OSp6AUwB16GHjQ+R5UtoNkcALUVPTGuW0BW7eh4Xc+QVII\nMIki1dx+1Awiy+SmUrmb11VsoaxbnkCAVtAcxONbQggJ9LerFrI/7q4gG0Zwk+VPzLEj0Bcvg7QG\n9zeNVTmy8fQ8B9IU3O8Zj9hGf3p8PawUtIhgmrfOQ5PC6xfhAqr7lhLYWJBUmMMmFEhDSpBk7ofi\ncARGTWdOP7PDD2t0vA8Vl02/WvULcKRgYHY/EpdGqfxS0Eltb4mlwa1zhyFjYoWICsFhQJoA47FZ\nAIQwyoDlLQEoQpZLu4eFMBq5teKQrMg692PA/rEBVAKSc57Y3qWXcOnl/wfMGkn/GE78wu2gumYw\nLn4NVMvx+ggJkuxqC5anUr5m5GwWNUle5UGiuSI8c13bFhtprYx7WyRlTnxIzJv3pppmfR07Up2G\nXmqugaBSCUyS6W7vWcfx0UZpcNa2H7JaFEJUm4YFdfdbkSXrxs0AXJ8wBqDIlTeYDb9Mr6+cdiDs\nhR1AW93SeV59PYuU7M5Zue10NbRUHdDi1ysslnWV4upkThwW+AtCv1+1mOqE6bJAZBZp6RFufDgN\nftHjF4Vv7D9/fz1rEWg2C+kcD+nw9RdBIoGQPahsF8OL/1/TQMqXXQ7D1ZdOhuasQSCQkMal71zR\nro6A742YASfL6qZakGnkwsyWu+cpHrOUAZWBx5dN5sj4MrTKqz9Yp5Xkwie9nndfLSnO7Sozunmf\nds/6x1vGsZkt8VBMxqlbbavLcbfwWKTFmNk2NgxCA24/C3r+KNi21V0S1u6YdWxmswY4j12vpilb\nroG9HBgpIFvSWngVKwNA9BAcXGhdspgpWBy1hjAFb41llcjl8pbcQ9HUGcwRDkGGsbssN57/MCYJ\n0FvspIj821tDJA0xyLB0rm8lV4iO8EhnEsTeJQrlp93WbMLlouli4y3WHVNnRruTgdYEIYBMKyg2\nn6ckIYhMw5ouVr3OyhAKCUBnVQtsWa74LvAq8k1VSPzrMktxCS1tpaZ7L8J9dSUaLguh0Kyk7MJP\nsa94B9KmMbrz93P6eX5WvesAanbVhoAZEDzrrlkdy7/fqzdIAEPodPtRGpCexyNiLkQPwUGF77rS\nPKlRkxEOIiGTY7xsNC22zMatzmzCCeO8fvu2x4A7N67GFpew+G5fewoy3QIgMTj6Sxhs/4/6HyZJ\nWZjEd2WG7kMhyt/a+Zc2+9Mv0CdhCsWAyFaPper+3C7bNF5R1krMjXXLzCZ+a//LWJXu2y5WPYki\n95rD8/SF0TI8QW3gjudfiyb4MfBZY/OfG9XCMg239V00XeahmEP7j7l7m2E3hjqkMOac+zsLvrLo\nXqfpdM7MDAjR0IjLh1Im3Kn09K6lrq4Ko+QO1BH/fC+HXm6BsLkxz/1xQBE9BIcBhIPjyvItx0Vz\nj+vITEt0VSf9ozjxxjva/bhuYWsRT6wbrrA558aNL+vJei1SvwQxtMcTEcQ2ZW/xOKdIBtBam9AB\nmWY7BTlsVjrfKlDnwq7zUvjWfhu482E2Oeddziech7bKhN9bwFnDXb1obTIBuuwyVLTX5e1wSgAB\n4JbexFken+JcUF4TKVbjHShCNmiuhbKOiphrQlQIDipC92nddyt26YbkIQA2pcrGeIHJB4S5zM0W\n2J+HwzGapz3Es7YHqqEEoJMwISFAIWvZv6Z1btNw4SeCEOx9J0BEEIKgtLk2SZtawQ0QvU1jZRXG\nqAYgSteyE4L7ETJwCBfaUANrc00cd2OeZ8W/Jl2UiXm8NuH2XXtXTFOUfEXvoBgXIQphankXdfDH\nLpmk2iwAACAASURBVMVyirJNgyNfEuqvhb8+AHPzMg4KokJwUDHLqggXNid8uix4ztVVs+BczC4i\n5xwCAtvJNhLHzicytc+d5j9B9GGPuczVoJTW8NP2VoaxLcEMmPDGIgVN5t3WnZ8jsrl5brqmRSdJ\nmKwS58rVk+7TnkjAtpfEhMK2DLhzdvfTOgWIm7dp7lcnKP3fT9ufb7V1OZeQed712Sq8aPXHVDqD\n0hmICBIpnO5XcZW3PSb7imPDOa7qOuZ5Ven14boJOuW8bgxZBhruAUqDkwTY3pyu2Lhrv47KpW69\ncq/rxrPs7JR9RFQIrgQUDGJUq2/N2mZvhKIQUb9XPGB7ag+KNYS1PodqiCPiSLktUXvN3DLgM6UM\ncZiE7Yu0Stdajeu5a/x2mqbf1WXvW7l1FmPYSXI0KvkUDTnby1IEiIT1DKBa7rYNWW80NsrfKjrF\nuYXWIbx+Xe+dQih1jOXPc4/6ikRDARxmht4bGiUgEVDIIeSGHeuClfLWmTrn0gldRgVQPV8pvcZi\nDWPaG9t7XYK0Mvwb14NDc9UTME/4ZRFIURoyouGahITJQ4yoEFwJCHPk2wjA3HOFgYwlvYwHjTDh\nZh0VaVOEPdbYEBL16vaSIEW1N8M8D2ndg++a2QAmW6Cru7JN/NtlcCRkpqhNzvYCICJQ17ADM+jC\nJas4aXCugc0lVpFzWNbCX7DXUXbQXLXAnHXPjTMbrhFAloMFSk5A+Ax1RdftpmV2+J6aWec07bBd\nx1QUASOrIC1WxKsWzkPqMk/qlA2fdDnN83LIPQMOh1uduRqhtenlPdyrpun4aHNzisAK9jYZyAEk\nCShtBPmGs1zaIBE2/ce+BkzTFQtmLvPyyw+r+5inzoFP3EsS63YX87V1bUJBkCKjGGSZV3imYUzO\n2+C2rWPGu0XHZ38X+1jO0BeB0jl2s4vYzS5C6dyct1aFQCNXhrcOWtvf7yMDm4M3q4jzuvMcZ9Ui\nPA0gACQSMGvjuKC06vbvqsS6+3JeZSB87cYRpj6G8O/baUqM4/Xk+eT8D3qFh4HTmu6tXQidXeCT\nP8O0zPD4V4jAn4XoIThsGI6Ke5OHIxNvcznFYaxTBZ9VCDkSSJTN5WWgV21McjQ9Wk8q9NG0AASf\nCfdAaW28btJ7wFzsnFCfbtaGtesrD07LX7VbMcsA6lmrM6huGC5ebVK7XF8Dl9aptVHavPPI9Rhg\nhiBbWXBNGOYXi9e72QUcGfeA0RAQKZBocFPIQCkTVmAAZOdo1SSwOkhRNgWbxgVYhHRXIZ/x7PtW\nCiTcA5O57tTvVXkb+4EmzoPfFj0cW1h5sWnufF6P0tWS1GlqFIFKBoEoe5kQmqsULgL/OT3kZMBl\nISoEhw2s4Ri4RR/vOldXmKFQF0aYEfudqgxkWWl5pdNrkw+kxNgeP/UXjTB27pNzuqAuj34Vi2qS\n2MURzQSpcDxdrRu2pExGRbHJ1aj4ieYxiAfL4RGEnphAYDMzNKuCT8L5CJp6EBubhusACWx5HiRn\nHbsYsB/KUt1bdbu6CwCQdLmm/nkJYe7RacI2z03/BHMgUxm0C5SCePmcOfQbTtoCVFNguSHknst5\nSI+rQJjB4UJksK77pEZhaHNduHzOWWuMbWl0IkOSrT12Ysmj6Yo6nnqGSoFDzgFYFFEhOGzwblie\nJpRWCd8acu9nLPS9Vg8aTbJ26zAt5rlKC8snSBWdITE9dgpMptPNKrrjyIQVzoFPdzZEwM6x/zqw\nv19MKFNEBEEJ3MkKmUDkZMrKphIQSalojrNS+XGxesdA5ympZLVjMsi0Kp1JWpfCYxbC3PBZDXUy\nr4Kh4tmNp/z8dEGQ//v/gGxPDLp0GermN88e4yo8WXXV/qYhzGQJ4XkNMlbgfIw06XVXRr3fZ6wr\nPUVyravKnp9SPYuQuAhctsoCxZmuNESF4LBhYwB21vm09rluMZ6V7jYPnEAEmjMa2tRJkLKsxOcs\nAqDU2ps8H46FDe9hnpbfv2wQGaulmINA2IQKQNvF2f02hBM8xVcaRDZ2O86M9SXl4uTDUDmw2EqP\nY6R2AQB9eQRAVpI2/Xsw5Ia4jn8u/NExG4EDEuZqvbqz8stQVUSd4NUadOESaGcIkgLc74GyvHsn\ny2XUffCzMpoyWuow7XiCAM0Yc26Us1QiV2NsyI5KQc97XoJmabyfRJmoCFSwdoXgxRdfxJe+9CX8\n67/+K3Z3d/Erv/Ir+IM/+APccccdyLIMjz76KP7+7/8er776Kq699lr89m//Nu6//370GhaTc+fO\n4Ytf/CKeeuopDIdD3HTTTfjMZz6Dm2++ec1ntiZQy4W1SJURy19JXYzUEeQ2A9KhX/rWr3VQh1Cp\nCRWBYFulFDQzBJNp3uIW0HWmIjlM84p0WGi01rAlgQzfwldubOpVQgIKCpxISLLhgtG4/K2zcOvm\nYVZuOjtBVz9uIsIg2fJPzpTMDcMhlWPYY3Z1vQfH9ffZSc+bZfmG6KVWuYK5rk0hOMB6bmDma5wb\nAZfae0FpQ5Lrcj+GIaZlhLya+ABdYZW6PFcg+6wyAMW6W1Esp0QDSJkx0kY5IBB6ddVKw6JeEWvB\nWtWj4XCIM2fO4MYbb8STTz6Jp59+GqdPn8YnP/lJ/OhHP8JXvvIVfOc738EjjzyCp59+Go888gge\nf/xxfO1rX2vc5wMPPIBz587h29/+Nv75n/8Zv/Zrv4bf/d3fxfnz59d4ZgcQzKXBs0yWrtamNbJz\nd7qwhbMEx2MTWx6Nu3V3a4Fca+SWlZ2zhp6Xc9AFK65RrrUuYuSKbUtlV88fQNE9CQQJiUR4lhn7\nXghMjtO5taedgyOKdVGqfK+QL7h6qbEo/TbGTXBjq+tA6DHmU2GaQRHEZLhAKdCFi6DXzgOvX67e\n40K064vgn9PGwKRP1nneQgKaFJ5TgaF++UborU3oo1vI/6//Oft44fkuA+FzvizrVwiQKK85gyGm\nhX/8+652mISBTNEXCfp1ZEGfGNympsqq4J/HVUI6XLtC8KlPfQoPPvggtre30ev1cObMGSil8MIL\nL+DZZ5/FbbfdhptuuglSStx00014xzvegWeeeaZ2fy+88AJ+8IMf4DOf+QxuuOEGbG1t4ROf+ASI\nCE888cQ6T+3gYRqD1l+Mp23f9L3wXPu+MqC1Jd1RQEjqgDCNyedMgEFJYnYvCHrVHIo8t01ZdKtU\nsnmgUZI3iajapsoxrMsPqhtLWRaDcSREN+7cpgf6FlbdojYt7WwanBKxNwYu7gA7w9IKrGuZ7SO0\n/qYstmSVglpC4e4eXHthynPzflXw53BnF3TxslF6NwfgjQG4l0L90s9D/8ovVhWKTAM7OTCaMbdu\nTvx73j1Ts66bg7smdaG2BTGQKaQtXdUXadmwq25cbmx1KbYeWoUcliGItTb36XBkvEBtEGacRIVg\n+Th58iTuvvtubGwYF/P58+fx1a9+FTfccAPe/e53473vfS9+8IMf4JlnnoFSCs8//zyeeuop3Hnn\nnbX7++EPf4g0TfGWt7yl+CxJErztbW/DD3/4w7Wc04GF7872Y9jhQ1on9JUygl3ZXPsQaVJago78\n5rs83YLkjjuLRBc+bG5RC7YjkIkrSwkWpoHQSuHmqiCQLX9RELCxcvtXACXjPbdll12MNWSup6lx\nTyfS/C3c5MajABKzvTShy7/LOe6NQMMhSCnQaGwEslJWkVrNfFURhitaHG9ej4+7J3d2IYZ7oPEY\nYmfHVPsc9E3678ZGVUHNNOiyAmUM2lXAcMq18D01bpwOoXLv5rZujmc9b3OCiNCXKQayZ702U39s\nFMQLF029lHngDJYpnobWyBRMCAuzDaGrHPtGKrz55puRZRluueUWPPbYYzhx4gTuvvtu/OQnP8GH\nPvSh4nf33XcfPvjBD9bu49y5czh27NiEpnn8+HG8+uqrKx3/ocC8Od+uLoCzSH2ClBM6vsD3C3wI\nKrfvzUgX8i2JFmSqRAhAG0+BJGE4BIugIOWhvoCR0qWXwxVyWrJHQtj50wAkEYQbEwnDdk/ldM7I\nNKa64wdMi8X6n3UltKkyBdZ4hLLqPDZVzAw9A/PO6cYAGF2yLnzr8p8Gn/Q4z7UkAilvH84L1rSv\nTBePEANQOxqUSrRNlCiwtweMFQA738IW3PIZ+F1IhKsEEXB5F+LyDgACRhm0lEZpaouATLo4pyJQ\nHDXP7hTp8xjc+6sA+6YQPPvsszh37hz++q//Gvfccw/Onj2L733ve3jiiSdw9uxZvPWtb8Xzzz+P\nBx98sAgFdMFKmr4cVDjmfdIi3hYuGloba1Q2EMDqFjvn1g/jyMxGeLVZmELLpqU12SkXfRZ290xH\nQsBkbhzZqn7v8zDCyo5LhBCidNU5ZQAoF68uIALYSwtNpihlfqhnntSrXmL4ImSVwi6LvruHfHJq\n1+MnCfia4+W2XZ/5OZQC7vWMN0QQWOkZypopGMa5wvh1hkrNOadHCUnbqRpnoL2xuT47IzPezUFZ\nlAyoVsHcz8JGgFGasqy8HkTmnu5ybwBVQbwwMVIaj6e73rNqRDhchRkI+3rGJ0+exP3334/rr78e\nZ8+exWOPPYZ77rkHp06dQq/Xw9vf/nacOXMG3/zmN2u3v+aaa/D6668XLleHCxcu4Nprr13HKew/\n9kagl1+FePUc6NVzs4WWn96kNWh3CMpzs+i4GKzzLLgshfDBcFbszhDYHZa1wJ1QafMAT2Worwfk\nuQ6JMTl30vYrSFNg3p4IDr7wnQYpSrKgK1LUBS6O73otTFMGlA0v+JyQLkhT8JEtcN/8hQ0FFvPY\npsJk3esu8MNTXTCvt2drA/r4UWh77kim3O99AR4QMkXQPQHaSEDQUG286EXogEtPgFNQiWyDMIsD\nZvwUlSuJzD02LT26Du7ezPKyjsUikNJURhz0zb8DNl8HCWtVCJ588kncfvvtGI1Glc/H4zGklCal\nLFgY8jyfEPgOt956K7Isw3PPPVfZ17/927/h13/915d/AgcQtLMDsm5j0mwEdBPC4jhZHrh88/J1\nmjaXmtXae1CpPVFnYvDeg7kP2jhLj7AoMLlQJLIUyG28L03w3bnOvdsEt3hJYYv/zFlboK1StijS\n1KSdukXfKVFtO25Oe79s+J6sRe63fs94kzYGkzUnJn4rII4k4P6czthUgrUXtkrNPck9b45nzZtS\nJvsnjJ1PIy0ugiNb0Ee2oNMU+sTR7t4BpW2HQ7m8MMhBCKccAqx1Fb711lsxHA7x+c9/HhcuXMBo\nNMLXv/51/PjHP8bp06dx+vRpnD17Fs8991xBKvzWt76Fu+66q9jHvffei69//esAgF/+5V/Gb/7m\nb+Lhhx/Gyy+/jMuXL+NP//RP0e/38b73vW+dp7aP8C5huNBlmWFC1xEDAUMO9Beztsxkv4CNUwrm\nQUikcvv2/60SmxtgKY1iUBd/dqlraTI/H2MeSLn6uv+OrMiMombAuuFnlKxrwa4hq3ZGF+8CEWRP\nQ/bMPFMikG632M4JaiGAI9vGC3PNcfCRI6buv7tfw3kLzy3LQDu7oHEG2hlWCioVz1jLrIBO2NoE\nQmVgLoJgFOLrxFo5BCdPnsQ3vvENPPzww3jPe94DIQTe9KY34dFHH8WpU6fw5je/GUeOHMEDDzyA\nl19+GUePHsX73//+Cn/gpZdewrlz54r3X/rSl/CFL3wB73vf+5BlGW699Vb8r//1v7C93eapO/zg\nY9vA+YuA0uB+v1wossywa53bjmxGgB9vTBLw1obhEAiaTcpycPvJNQDu7hLsgq6u3bBC4LT4MhGw\nMcN6WYaQclakm/dp9fT90sWrFpBhhsi64c9D3ZxkmRf3XcN8tIUrrw3M9jZYb1vv+ALzTJbf03Sc\nacfP8vJ7Yb15G3JS2R5noL09gAFFwPleBkUaG3KAI8kS1lKXAuuUjmnKbiItmZeXU3m0S4GqdcI1\n/yIAg8GBuL+Jm/zxVzheeeXSfg9htRhlkyGCvhXcXQhcvqUebrMqZrM7XliXfdZx/PryxSJgPRjJ\n6uuVMzP2VA4Goyckki4dCZWq1m1wnQ6dQDxoi9k86MLYVqpKqCTsT6dE52UbDCbJaKtkoIfW+ryC\ncW/PlFK2wph7PRPy8MMHzMBobEKOAM6PX8c4BbifQrPGifQ4BnL+ipNgrnIBGGVlx2VgGpkyTNkU\nYv06sPOM+MW/mEGXdooxM8F4VdaA66470vhd7GVwpSIRwMhyBDjQyLsIFz9VK1QkZj2AbQS4v6i6\n/flpVP5+28Sk3eG19V5IqwQ54uMKsZOPCw/nbp7hSCraZbu4gk5ujM4CDXPSD7NSMByCMgUGARu9\n2dyIaXbKulb03T2I185bYXoJ+oZrq4JslWNwz0MbvgOzyfdXbJ5739PX74NdqfE0KdsOu8Y+LmWz\nIjc12HKLBAnkvGDe/sQ8tSQ+125b81vAKG5ClPeVHwax8+dOd5ajbqlwir5LUQVsD5eQz3Ew7PKo\nEFypcOQ0pcvmO107oYUL77KdSaH2voz9NQmLRRfv0ArxKxdacpdmLiu4EaDBkG1ioC7tz28H7Y93\nv12Ji1rCeW46AUoBAsCjbLZCIKUhwrlF1DbH0UqBkwTEDLFijwFd3vGUVACXd01cfBq6PmN1CMNe\ns7A3NlkHwoQHOfPml2iy14iDP76NPni4B9Iavf4m9pKsSMndlC1DidPgwozudRPC53eWN1Mp0O7I\nXB/W4A025+7mMFCmu+x6KQiLtrlnSUowka18bRW5A4CoEBwGjLNSUEwr9uMLRJeOVUlZ6righ5b6\nOgWTs5KnFdUJIb3YaM8uCo7/uEgpV9ejwY3BpSH6RWGkKa+rWIPsgy7btvsF7LXtGUXDhTd83sG0\na+5Y2fOk3rljNyHPSxKpnLMKXodxFadKZNIhe/Z4WQZNAmzvC04S6DxfrVIgBTD2rnE64x4Kuw0C\n882Xf73besYciOazNqUEtrfAALYA9FSGDDkGoj+9b0FbOB7IspFlJe+QbOZUGGor6mxU53HScbEC\nzxMRbIFyGPKu5wXd3jTKMaH03OwzokJw0OHKwAK2iBBDpwnAmZF1JCBkz8YcnT8MJkwwzQXfFs61\nCLRb3GYJsLrfutd1x+4Ct+j4RLRlIMyFzr1+DU7ZkhKbSQ8jZTI6enVNW5rgp671e5Pz3BQ/znPI\n//pvILcC8uevbx+bdS20nbLUFP7xr+W8YRcpDTN+nJvjNRA5XYFLzYAgL/tBKUxk0wArV1D55HHg\n1XNArsGbA2B7a/ZGDqsaW50HqZ8a655tLLq3uEWfyhQpOpCF/UymkABaKJWYXgDLkWot4bmVlyVJ\ngfHQ4xk1K8buMXO3ffEzZtuDxX6TLpHA6nEGYBtEsdam7DqRKTnuvm9bv2OFiArBQYdvhbr3egwI\n635lDa0VBGj6TdzFBe3qffvFhrqg7cO0iht/lSRH99q5P93K4p1HX86RceELfH/sM+aHzl80A0gS\ns8BdeB183TWzj6e8Sobu/aoXoUHfeD7Gma1/QRWFr6iWDacUkAm/FAqJhkhSqDyHK4+96pABiNrN\np/f7pXjUfEXZR5PnQAhg0Df1WvYjG8O26DaCH+Z+GlilpOAJzVAqlSqzoQqPTItnqZeaOg2u/fdG\nv6qoB0pF7W2uFCZKtS/z3nIei+GeDYEReLNvGrUBxbVWnINZQ3AC0cWgWCKiQnDQIaVJ73MLhPUO\nTMB5BprQdsFXCnj9krE2pAC2Nto9mI7h78Z8mAlwIZLECjFUayf4DKVFMc8iPuGNabkPIuNBmnVM\nJ7T96zovtAaGY5gbi80+tzanjyHx6mSkKaAUZC81ja3mFHq51qZrJmi5ZbCBUrFblLEWkknrvHv+\nvTcaGWEqqMpkXyeckkeo7+/gvATTWmPPq8gMBkDoFOnq2Vw1XNhXUMmj8RSCnLNSMdBjgITpc7Jm\nRIXgoEMI41Yaj8uHXQNsmb9EBOHS21zJW7fdPBjugUgYA5IB3ttrpxA4N7p7Pa3G+wGGy8KtCBzy\n3Ih1RZS6zLWzpkJXfdswy2gMGo3ATKZs8N7IpMX1UvDJY+3GIAQgdDmOadZQXenqeaA1inq7Tnn1\nmh+FBf+KQ/rHtuOc1/7NR0OoLAelKXSSgDQWb5AVYlkeqrCAT9P9keemta+1qlkxsLXRXmGqnfSO\nkBImTm63DzOasqy0/kH1bL6CMwTze80mxNRfoEBX2/ORslRYVsV1sLyiWtNBCHDOJj1UK5CUYBmE\nydaEqBAcBhCZwiRWWIkkBZCC+f9n791jbcnKetHfN0bVnHM99rN79wO6eQjaQLcB5B7vlaNGfKBG\njRoiUUPig6hRIwGCGE00pP8zQjA8FKR9QBBJ8BxfMUSUGy/3eLwiT48ogh5o0O62X/u1HnNW1Rjf\n/WOMr2rUmFU1q+Zj7b32Xr+ke6+5Vs2qUVVjjO/1+76P6wt/HZtbrasfuwyFPojdmdey4M2SCEty\nlM9W4prAvEIw9HlLjXb5XpY74ppYgF2dC92gQAdTx9YnANMZ7F13LPesjzqnX6zn0mqb9yJt1CCa\nzYDDqbvGQQZs78Cmo+amd+K+XmcseR2oPT//sEp3t2uuWOQGZBiJ4sUekLBLqXxeljQ6mVTpdSpS\nirQGwpocTdchKr1AyNiVYwfA0wzY3XxoaJkS4eF+sVABG6XgovCKEUCTusFExoBnU6gkAWcZlBoB\n18CmOlEIjhOiSbf2jo7MwNYW2FhQUYCTpGpYswhKVervkCIq60jT6sKqbsO4Ze6yik5Yc0HOWZ5b\n1f/WNtY4NLFmcp2xpuIZ9imq1FZHognK58cL+Uy6Yi5CfI9SsGeoW9wUUIpg2GVkcJ5Dpw07bp47\npYvIeV9O7VwbpaDNZRI/4zQF8gK2MLBEUD4LqWDut7mv696kf0XTOcvKjt7IaJtbXimmmg9oDeG4\nBTA2h7UGRAqJHiCFh66/tvRPAAkS2GTkWrurUZnyedQ4UQiOI8I65+tyT85yuMVKrnb6UMEn2j3Q\nf7MWF6GMAVivUhCngS0i6RHNhwxqz2DFZx266tkGzWn6f59T7XL6GeDJ+kwI65UTCj4vjGHGytIi\nKNXcYrsNUrqY4az1wrh6/GCw1t3COp5PWkEXBJACW4ZKNbRU0AvDIlle5awD4Fk2vDnPMmhimfdZ\nC1oDoxGYckcLSXQZq+593SGZQV1o+37IiWjwDMXn4FSDcu/5SDZYFh1OGTBmBiIFaw0KoJ9SEBON\nV312WkPlCUgRitkerN0H8Qh6fMaFcI8IJwrBcUNY+coYJ4hXnYxCmANVMbxluuytQmbahLcjDmP0\nGkY0DiHVMZbL9Y8hRDkhJRpTpYiGVnbbJrO741yPUo75WmHTFkxYVk6IatMZpBQ1WV+Ap4mrElrW\nxvgiXVuum7eEbEbjqhCUsMq1BsJI75GVswvGLJ6jPteVZ5Qm0FrBMPsCnRYp9Zgb4TWCuTcXilwH\nhnBRJhNwugYiaxeyzCnVVLgUQIhBYBd8McA6jZgkASaAmR3AKsdzARuY2WUkk3Orn7/vMI7sSidY\nD0xglQlBZ+VFE9FdFm0G6+IH1NzmDKxTE16F3BVnS3Qt+LIc6QJlIXQBh67V+Nx96qsOif/HRWua\nkOdQeQFDAI9HPpliwZySsW/Cs9OkbIjCWnOn9Hi/oYAde5etjNmYas6J4jAZgfcOnRdnnC5s3MXM\nsDYHQP6RLKFIZxlo/wBgAo/SxQ235B6kUZlfQyPAVbzruz6jkAQzwxT7XigSdLK9eB5sCqvuaeHz\niVtxZ5kr8wynIOaJgUocJ6s3s9/a9StNSQLmBKTSMoWTj/jxD1rFzIx3vOMd+PVf//Xa71/1qlfh\nHe94x1oHdoIW1ObgmgSzVGArinqDnRjMznuQ5cDVA5dXmxftxy+CUr76XcOiXQfE6l4U3xZvgriQ\nLbv/2tpGC/Lw2B7Poa+VFD6HdVriTecqCtDBFGQMkrxAkhX9+ANAlfWyzjTTsEWueFEY7ho7PreM\n2QnOPl02m4Rj6IWpSiN6kh1cOuSpnaraZUfLXmYXeyZ/DlvkVR2Pvq1+D6cwrhoTKMv6vfPwvsLU\nV1EihWvRhKJwa3eW1bo2WjPzp3P3I5+PJXy+Pxj1MuNArZKj0ilSGoOgofVoGIdA9pY1rlGVTMBZ\nDjYMNgaKk81748LrDzn4ne98J37zN38Tt9xSL9bxwhe+EO9617vwW7/1W2sd3AkakCROKSCsbyNW\nym1+o5GzikQwxhCNuyjczBEtPG7UMfTaQ0mIB4fA/qHT9LsgisCg8webKKNcjIXNkBWHMDZQEmzz\nsSsj3NzXqSS1pa2pQLAMfZfrSrMD5jkfPj6OUVq+Q94au5bdUVyfmSvWd5wJ0jQ+pdy55dikgRBn\nG0oRL0IcW14Aay0KZnCSIO/ytoiADxWUODsgJvaFWQnheWQdE1UGwDUisW0EzHXDKct8QSy/dkVh\n8seqdIQkGUMv493pg6IAPX4R9PiTC/csIoVkfA4q3YGenIdOt/vPvTVgUPvjl770pXjta1+L7/iO\n75j721/+5V/i137t1/ChD31orQPcFK779sdt+cGbypdtsmhiHoEoCbNgUmvtCF9HVQzlcFr9zOxK\n/a567XAJhPUU2FVLKzhHbmbOCmRGqidu88icq1h96SHohx8Db6UonveVnWziTki4IBRsm45hF4Uj\n6vl0Ux6NjoZE14QwawGoe3aMKZ+3xM2lt0JhLWzA+B4t+8yYvUIoYQYsTDN1ikhRFcXj6JgFczO3\nFjTLQbMZAAaSBDoukRy6v0WYhd0KYw9YrJTEf8uy6h6Bslw2WwuT7wNgMCkk6faREtrWitzPFdmz\nZK8k/7N4Aldpix4qZh1KMT38aFmCg5nBT7mtW4mWsuLuC939a5ZAV/vjQU/ikUcewb333tv4t3vv\nvRePPPLIsJGdoBmxjiYTT0qDgryreo2aY6Q1N05A6ROgtS84r6oY3XFG6HoVD4zfnEEEY4taWTJT\nlAAAIABJREFU1oERyzFNQFf3kHzhy6Aig9o/RPLP/7r6WNq8GkXhiHXTbH3vPknA2xOw1uDxNVQG\nBOHmWrPWo5LAwf0bT4IThW2AjTN/ba3crpi2CwrHG7CwPo6sVAqtU8cfCMfcYxMnubc8B2dFmX9f\novQIePd3+BwkZBOPs+v+y/Xq12+alFwQMhaJ3kKit5GmO9dOGTDGCcU8776XLqSpU3JVi+GUJJXn\naVn08T4yg4pqrpKJQlCx1yce+xHXwhj0NJ7+9KfjIx/5SOPf/vzP/xx33XXXWgZ106NtEcTW0zrd\nfERVxkKStHsf0tQJjd1t9+9Rd+lKkypurxYU8hmCWClIq81Cq6QUMsy2irFL+CSpLHkSLkEYTlnH\ne+KQp8DeWl4T0tR5NYakBG4CMes9Fq5CPoV3Cfu/h3nrC590+F6alCpRyEKrO7LADRswMZicYjB3\nD315FdYiMQZ05QqYFLRS0AfT+ePCTJnwvzaU3IsOUurYr92wnn4odzYRQljAxyivK16a0MJfBhJy\nKp8Xb8x4YWZYk8OavK6QEoFHSTkGDr2pTeEcgezBR5XlIpcdcvCP/diP4Zd/+Zfxd3/3d7jvvvuw\ns7ODK1eu4OMf/zj+5m/+Bvfff/+mxnlzQQp5tKXAidt03QzgIWGIBVpxr+PaELtCZSNpipMeARI1\n8sMy0Loea+Rbz4G3JqDDGcAMc+dtVbw3jPH22YjiYjSxhRziBgr51tC2ASYJAF8vPyKhJgQU/nkk\n4inowpBU1Gg84hUQ8LIvIgiPJGEYIE57K7NNqHrni1JT5fySkdTHLT6Q+zAYcc2KtnGv+9pEzhOw\nbj5OBLZ56VFhW4CCJmd82y3gK3vuw6kBHTOvAQZxCADgT/7kT/DAAw/g85//PABAKYV77rkHr3zl\nK/Hd3/3dGxnkJnDdcwhCBnTMOhfhuOwEzy2Qw/mHxmskhQlWUQhiwRe2vmWuWeMbhViQfZQkY0CP\nPQlsTcBnTtWJW4J1WCbTWfVste7Hsl8WbfHp6+2c8fkXNdiqEUGHW4zMDMOmVAqIqX+qWjwOeZdX\n90CzDFCJI0xuR516atkQEeLfyXmDAksg9OstItb4JrgroUIA9IqhM1whI1qFK2V8J0Ti/tUxl4A1\neTknmBmqT9fTcD0AR+YN6OIQDFYIBLPZDFeuXMG5c+eQHHVd9DXgulcIQjB7YYCqveeyMBY4QMUs\nVwxstWycQmDUev25722IFYKiAMIiKwqb5yzIvcdhhCGQ+GeYB93Egh+KdXQeXISA3GiLDIDzcFAy\nWWx9d51TlCRGSQhcK7K8boU2KUxDyi23IMxoUOLVEWG6qB9FiCDlr1xnvh6AoPF5h+MPEdZXyPL6\nnD3q0F6M2EOw4Lnb/BDsW7qT0lBqCRnDDBzOgnXMVVvmvpDMhLCtdINiW1MIgGHj3bD3IsbaSIWC\nvb09fOYzn8EnPvEJZD6NwqySenaCblzdB80yUJ6DLl9dza1mgFpZ07aQnrDtSTklYp2uvCwDDqYu\nYyCeN6HgLDcO9kSull7q60ZszQy99yYPTkwkWhZDBM6y8F4oa3KwzV36HVuwWZDmueic5ca8nmE2\nXKT6kdD83tZQO8ERCYP2tMJot94y7ztfRFHUusZZCdFory1K9ZRmQmUhrOsgU2ARryEAswWTAilX\nD2FQ9cD5k1U/F15x6yurpK20se5nwIcv2U21gCCodAoGgaGGKy9HqAwswqCRG2Pwxje+Ee9973uR\n504j+tCHPoTLly/jx3/8x/F7v/d7uP322zc11psWZAJBGLuZhiIhYOZjkpb7d9Qacs2u44xxC1OO\nyfO6gJMNMtg4bJ6DYYBEw3AOTQOsnbb0zS5o7cYlysmyArhWw70lLex6g7UuN91agI2T3aLcrLIx\nS2aAeAiA6jnI7+W/Zee3UlXRmbjj3iYgKXyzDC4rZeT+HVI9dMGcXNojMw7i5iHnoDrxcuddFuE7\nXfh+qePTABAB2s83K10h/WepTAm4rB2px7E1qcZmuDKebAOZMyJ2X7OqjmvEINXx7W9/Oz7wgQ/g\nZ37mZ/AHf/AHmHj3y6lTp3DhwoW5CoYnWA84FCzAnEAZFPVRBGwDSBiYABi3TIGuPOdVMDfUarlb\nW8CYzFVIy3yKXZa78p2ly841IemFWND0tczjjAuiilMQPOtLM4tHDwyenAZ58MD8swpTOuX81xuE\nmyLCLElApMtnx2yBZdy2ArHMJbUvdr/KtYvC/Zfnwz0pSeKyUNKOLJl1QpTGRDtPmynmrfE+zPoI\nkkI5WBmQ4k1ZBj44dA3LhhAorxOQDxPIiGmVgkHjseMdSWZFjDwHFbmb5sxOORCEr1JSMMtMF7h/\nB74jungZ+l8fhP63B4H9g0HfPQoMWjV//Md/jDe84Q1z5MHd3V285jWvwU//9E+vdXAn8Di1A94/\ndJNP6pwXBezeHpBPYccpaGsClWxXm0hslYbQCs2N4MNjApfqMgKsrYBSon1REJ9a5OO81hpYn+/P\neQHLDKVcyhAV1rViLlEfT9mMpWehkF6QcceELv/zfm6RW4ZSBAvgSsY4O45IhGGsN7QuGvsXBLd2\nxKlGTgAH6ZJjx1OhNAX0xLGmSa1uAcWKURzPl89tnpU+OEplKywWlGrXmS9sODWw2+YghMpuADYG\nNM2c4i8prztbc9bs2tA1r0MMvH7N7S4K46JrtF03TSuib9kPw4/HRkI9HON47AwTMBCkDpYpmkPJ\nl8ZAPfq4C+cwoP/jEZhnP+Po13sHBikETzzxBJ7//Oc3/u3ChQvY29tby6BuNEiq0pzG30YOiqGU\nW9QhrjhlALmFOjgEmwS8lYHYu00TAkYrCsZF321zxxtTLTSGz9UPptpk3HDv9Q5r1jKI2MdrE5jC\n9VAgJqjJVnk9iS/aoqgElli5QviSzWiNC8/pBQueTyzk2o63uLaWXB5lRAhXw8dwqQ9jui9iVnVT\nHv9xgLVuTockT1EGwnj5Jt5rnNIar72wFHVbrYVNjCUsidwnI2LINcKfl5kjouBLOqZl969yLc8J\ncHvVJApfjoO5L+9arj90HGX9FFTKyCr3tAEMGsVTn/pUfOxjH2v826c+9SnccccdaxnUjQRrChAs\n2Bb1Iiar5P3KBLYACgLgre6DwnfxIiBnl164KQETnze+tz7CMjiGyFdPA2ApqDpnXQxfF4DWI6gk\nLYlb4fMkYO75sqP7Lh/yyGfA7ADIDucUmO2UfAoaw1jGdpNqLRZaaZ1cpwhflVLOolqmKIq/Vyk0\n12vq6SosURXJwWrcjaOCkAFT1weEJSwCVI3CVims04QFa4uSpBQ0JGMs/7hmXkXs7SlMZc03hNhW\nvkbT5yZ0XTf0eoqhsLMNHo/A25PFbd9DL8FQpAn41C5Q5EBRgM+fGX6ODWOQh+Dbvu3bcP/99+Oh\nhx7Ci1/8YgDA5z73OXzkIx/BW9/6VrziFa/YyCCPK5xnwP1MRMsXMQHq1pRS4PEYKsthkYEJroyu\nDV6nkMD69EWvD7r6ftfm0bUgpLCSuOd6uJqdJ2AMZgOVaKg0WriLT1CrWGctVTy2ZUo2FBlQzFC6\nFk0GjCovjSLCrROFwjK0IqimC8QWYttmrhCQ4bBaymcX2tyuaeJCBozlSqUy+5ADo8iBHAlIKRSF\ny/KiWOEI51g8nuOUwhy8T+v/ZWuhxGpWVAnIdd3XIte71q74TZaDFW22+mS4Njkk4HXUSZEeAn3n\nWXzMou+Uqa085xXMrAEzkBgLXSpKVIUVFiGsc7Hk+7R33QFMz7lzXesy4Q0YVIcgz3O84Q1vwB/9\n0R8hzMXVWuNlL3sZ3vCGNyxXpOMa4CjqEDAzwJVlyKB6HLZvyKAN0xmwnwHaW3Ra+RQxBsDA9qie\nYrgIYa44sLglcUhyjDcA2Qj7WudRPJn9uUq3fF5U5XpTXRZaEa8AETlSEADLXjWQTbqfTlKNw1og\nO6izxUkBk4YqY2L9i/CO3bfhcV2bSCgkw1bKzM4VvY7+8LXNe43rVJQXANMpvGLhNlid9Ntrqz4d\n2EyNgk2gnG91RY+KoPeFCMdwLa3jXSwbU98EZM2EoYN4LRABs8w3cfLre3e7397Xl6fQFB7xx89M\nUVEBjcUEfm+Jx9m2Jzd5+VZR8vre0waw1sJE1lo88sgj+OhHPwqlFM6cOYP77rtvriXy9Y6jKkxk\nrfWWeqQMrAPGeDedt8RHidtULTtmbSygZeNqW4Sxe7MPaaZPeKAPwkJAbcJzkQLF7FxxFu45JNqH\nDhgqbVFujPElXhHEhAkwOTDdr6RZOnb/xciDngLMVXaCfA437lYOQSQgiliR2KBCEG90LZtcSdxs\nQtAX4PDQwjJBj0ZgOL1t4dD9e6uNr5cWcX3ARnUrlDxTy9W8CkIgbAwydv5CBWB0HLwihzPQdAZO\ndLsgzzI3dxVVVQHDuXZ1r/LiMYMn4/VU2+wKv/prT019b0tIuZLRIcoCU+TeW1O31/C+r/eQVgu6\nFILeM/Fv//Zv8a53vQsf+9jHkPtNcHd3F1//9V+PW2+99dgpBBtFIHydx2T9GiAzYAsLeGtYKapc\nk/E8jQVpHyHeV008SlZ3H3chCCRe6SwDlILS5AR3KKyBKu4Zkh9L70gKjHcAso493kas85SN6nPw\nbMUC6Yuy2p3ySgFX1uVQ9PU+SbZH+FnqP9gCzIzCGpTFeKDnvYA+o6IoCiQjQmY1crbYStWAoR/h\nPFozlFJ1/ooo0qG3TYQjETJrSw+YsRbGWuiBVqLwVwBAWVuFrPp45EKh2Wf9Zhlob9+RTGfGeT5P\n79aPMcYr4Un1WZTgMoQQZJkwVi+YJIok+xPGilXwHBQRjCd3MwDdZhyEHR7DWgVDSi8fY/TyEDzw\nwAN44xvfiGc961l4yUtegjvvvBNFUeDBBx/Ehz/8YTzxxBP4pV/6JfzwD//wUYx5LdiYhyB0n4lV\nsIHJYyx81S0LBiFRHZakjMcfj7DjVgwRissS8ZZFWMZ12VrqYpUJiqh8ayxcxTtQgismshy/aByB\nu7w1Bt/HsxEWQlKqsirl70OeR7yku+afbOQCVb13Y5zib+GEgNYpwK77YxNya0CWgawAwyJJU5e6\n2AfC/paOdNeDK3xVtGRQTMNOi0pBA0ilAp7qF882gSLHRQHtM0JKj1IXhswPANg/BE1ntePnCHHT\nabX2pL1y2D9BjCTfBAyjdLlyyqGrnbm+3tHtWcqtdUuUWmo8SMVJwIcLW9b/MZ+bK4UMPv3pT+OH\nfuiH8PrXvx4/+qM/Ovd3Ywze8pa34IEHHsD73ve+1rTE6w0bUwiaSvGuO/8YgBGvgxdISitQ10Zw\nMAVduQICgZMEfMvZzWq54jYdYiWvIy4qpKX41pqEtQhiIQ5qtVxcMOQQxM+0b7y4iHkDSbRxDyBC\nDNnwO0IGohAYdmNzCgFV7Z8j5NY6wUEuhJWAHHHqBrWmeqGB3FZYi7zkvjDGNpquYcZFCwprK/e7\nMVBEyykE8m5k3aiGaxsDunjFHWusa8AUpkEL98g3JQJzvbWyXHMd+2A4dnHvl/eC1eL6ZXaE52BJ\n/YJ47DezQvD6178exhi86U1v6rzI6173OsxmM7z1rW9dbpRHjI16COIF13cChZtzk3UaCBdrGJZU\n6e1OFlyCnrgEKooyR9rubgPbW91fWhbMjvAom02i665E4OjibyFbv+k9hHH+TYypr6sxVgjS1BFE\nY81myFzqul4PWGvBXMDaKvylSLdyCZgZ5nAKJnJtiAEnGK53hSBcs11cjyYYU/FO+rQZ9hCXf6JU\n3csE9FIIrLWVccwWyZCQQQzxHIYKRbwWCuPq+Ws9z44P02slPJCmi2uAtNUxETA7z8M0d0Ti7a1m\n4nLI1VjHXIs9O2HooG2sxwgrNTf62Mc+hpe97GULL/KDP/iD+MQnPjFsZDciwg1l6OIMhUKsWGR5\nrf2t0uQqwKJFGZDFUgoGBGPhzTY8ybJK2w4F7ixz95Hlvv77ESBJWhvHAKg8GNeaIBTm/ZfCINrc\nhmx2XeTRnlBKQesR0nSMNBlBq6SyQo0JKk7KJQnJKHUuWam+OIyzvF5I17+uogj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mN4AbEI+dfci/Tj/wjKcphnPMWlWAqYgcMZfIF+50qPCXTjkdv3jFeethZkKHT1yxBrksi5PEwB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\nU8JOANOksEPADF0G3VhFjt99zM3cKOcB1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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": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RA correction: -0.003107418808667717 arcsec\n", "Dec correction: -0.0009007916077052869 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": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue[RA_COL].unit = u.deg\n", "catalogue[DEC_COL].unit = u.deg\n", "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": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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/x+9+9zuUl5fn/C0nlc2ovJMTV698oWIUwcynbxFMJ77dnjEni28jkW97TEpy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\nWlpaoFKpBK/XFi5duoT+/n5MmjTJYPnkyZNNZqqpqcHkyZON1tXpdLh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tb23qcgK6YHsLvLttrXIi6zXYHi0+rg5S9a7CjcnSD8EwkOoZ8haILJlwq0Ue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\nLwMi6qrAJyQQjpbWIHDLmRz06Q76UyWhV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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": 26, "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": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1641 sources flagged.\n" ] } ], "source": [ "GAIA_FLAG_NAME = \"legacy_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 - Saving to disk" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.write(\"{}/LegacySurvey.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": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 1 }