{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# SPIRE-NEP master catalogue\n", "## Preparation of Pan-STARRS1 - 3pi Steradian Survey (3SS) data\n", "\n", "This catalogue comes from `dmu0_PanSTARRS1-3SS`.\n", "\n", "In the catalogue, we keep:\n", "\n", "- The `uniquePspsSTid` as unique object identifier;\n", "- The r-band position which is given for all the sources;\n", "- The grizy `FApMag` aperture magnitude (see below);\n", "- The grizy `FKronMag` as total magnitude.\n", "\n", "The Pan-STARRS1-3SS catalogue provides for each band an aperture magnitude defined as “In PS1, an 'optimal' aperture radius is determined based on the local PSF. The wings of the same analytic PSF are then used to extrapolate the flux measured inside this aperture to a 'total' flux.”\n", "\n", "The observations used for the catalogue where done between 2010 and 2015 ([ref](https://confluence.stsci.edu/display/PANSTARRS/PS1+Image+data+products))." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This notebook was run with herschelhelp_internal version: \n", "04829ed (Thu Nov 2 16:57:19 2017 +0000)\n" ] } ], "source": [ "from herschelhelp_internal import git_version\n", "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "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", "from herschelhelp_internal.utils import astrometric_correction, mag_to_flux" ] }, { "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 = \"ps1_ra\"\n", "DEC_COL = \"ps1_dec\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## I - Column selection" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "imported_columns = OrderedDict({\n", " \"objID\": \"ps1_id\",\n", " \"raMean\": \"ps1_ra\",\n", " \"decMean\": \"ps1_dec\",\n", " \"gFApMag\": \"m_ap_gpc1_g\",\n", " \"gFApMagErr\": \"merr_ap_gpc1_g\",\n", " \"gFKronMag\": \"m_gpc1_g\",\n", " \"gFKronMagErr\": \"merr_gpc1_g\",\n", " \"rFApMag\": \"m_ap_gpc1_r\",\n", " \"rFApMagErr\": \"merr_ap_gpc1_r\",\n", " \"rFKronMag\": \"m_gpc1_r\",\n", " \"rFKronMagErr\": \"merr_gpc1_r\",\n", " \"iFApMag\": \"m_ap_gpc1_i\",\n", " \"iFApMagErr\": \"merr_ap_gpc1_i\",\n", " \"iFKronMag\": \"m_gpc1_i\",\n", " \"iFKronMagErr\": \"merr_gpc1_i\",\n", " \"zFApMag\": \"m_ap_gpc1_z\",\n", " \"zFApMagErr\": \"merr_ap_gpc1_z\",\n", " \"zFKronMag\": \"m_gpc1_z\",\n", " \"zFKronMagErr\": \"merr_gpc1_z\",\n", " \"yFApMag\": \"m_ap_gpc1_y\",\n", " \"yFApMagErr\": \"merr_ap_gpc1_y\",\n", " \"yFKronMag\": \"m_gpc1_y\",\n", " \"yFKronMagErr\": \"merr_gpc1_y\"\n", " })\n", "\n", "\n", "catalogue = Table.read(\"../../dmu0/dmu0_PanSTARRS1-3SS/data/PanSTARRS1-3SS_SPIRE-NEP_v2.fits\")[list(imported_columns)]\n", "for column in imported_columns:\n", " catalogue[column].name = imported_columns[column]\n", "\n", "epoch = 2012\n", "\n", "# Clean table metadata\n", "catalogue.meta = None" ] }, { "cell_type": "code", "execution_count": 5, "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", " if col.startswith('m_'):\n", " \n", " errcol = \"merr{}\".format(col[1:])\n", " \n", " # -999 is used for missing values\n", " catalogue[col][catalogue[col] < -900] = np.nan\n", " catalogue[errcol][catalogue[errcol] < -900] = np.nan \n", " \n", " flux, error = mag_to_flux(np.array(catalogue[col]), np.array(catalogue[errcol]))\n", " \n", " # Fluxes are added in µJy\n", " catalogue.add_column(Column(flux * 1.e6, name=\"f{}\".format(col[1:])))\n", " catalogue.add_column(Column(error * 1.e6, name=\"f{}\".format(errcol[1:])))\n", " \n", " # Band-flag column\n", " if \"ap\" not in col:\n", " catalogue.add_column(Column(np.zeros(len(catalogue), dtype=bool), name=\"flag{}\".format(col[1:])))\n", " \n", "# TODO: Set to True the flag columns for fluxes that should not be used for SED fitting." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<Table masked=True length=10>\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
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\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 6, "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": 7, "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 2675 sources.\n", "The cleaned catalogue has 2674 sources (1 removed).\n", "The cleaned catalogue has 1 sources flagged as having been cleaned\n" ] } ], "source": [ "SORT_COLS = ['merr_ap_gpc1_r', 'merr_ap_gpc1_g', 'merr_ap_gpc1_i', 'merr_ap_gpc1_z', 'merr_ap_gpc1_y']\n", "FLAG_NAME = 'ps1_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": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_SPIRE-NEP.fits\")\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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PEzj7XIvFgsLCQtx9990YMGAABgwYgM8++wzz5s3DK6+8gvvuuw+nTp2yO/f06dPQaDRo\n3LhxtcZYKqsDV91irvIoG9equC86OhoZGRlITEy0bTty5Aiio6Ndfv6yZcvwySefYOPGjbZWa/lj\nTp8+jVGjRtl90ZByTRXT58+fR+vWrQFYf64AbGOD5Tm7NlfK8v73v/+NOXPm4J///CcCAwNt+w0G\ngy0wVyzT+fPnkZWVZXe//Pe//0Xbtm2h0+lw3333oaioCBcuXLBrmV+4cAExMTHV/hm0bdtW0ud6\n63e5NuCYHSnWzp07cfjwYRiNRmzbtg2nTp2yfXseNmwYvv76a3zzzTcwGo3Izs7Giy++iLfeeguA\ntavwypUruHTpEgoKCvDuu+/i1q1bKCgowK1bt5x+3rZt2/Dkk08iMzMToijit99+w/Hjx9G0aVMA\nwLPPPot9+/Zhy5YtMJlMOHfuHJYtW4bHHnvM5ViQrwiCgOeffx7/+Mc/cPz4cRgMBmzduhX79+9H\ny5YtAQBXr15F7969cfToUQDA8ePHsWzZMqxcudIu0JUxm82YMmUKnnnmGYdAV10rVqxATk4Obt68\niffffx8xMTGIjY2tUZ5lHnjgAdy+fRuzZ89Gfn4+SkpKsH79ely4cMHWJZuZmYnevXvbWtD5+fmY\nNGkStm/fDovFgp07dyI9PR0vvvgiACApKQnNmzdHamoqrl69CoPBgE2bNuGJJ55w+eRpZT+D4cOH\nS/pckg9bdqRYgwYNwooVK3Dw4EHUqVMHb7zxBtq3bw8AeOKJJ5CTk4O//e1vmDRpEiIiItC9e3e8\n9tprAIDBgwfj6NGjePLJJxESEoLnn38eixYtwvDhw/HII49g165dDp/Xp08fXLp0Ca+88gpu3LiB\nu+66C23btsXixYsBAA8++CD++te/YvXq1ZgxYwYiIiLQo0cPlw9w+NrIkSNRUlKCP//5z8jNzUWT\nJk2wdOlS7N69GwBgNBptbxYBgE2bNsFgMGDgwIEOea1evRoajQYnT57EmTNnsG7dOrv9ffv2xezZ\ns/HDDz9g5MiR2LZtW6VPZD711FP405/+hMuXL6Np06ZYtmyZbNN6IiIisG7dOixYsADdunWDRqNB\n06ZNkZaWhgceeAAAHBaUb9OmDWbOnImFCxdi0qRJaNSoERYuXIiOHTsCALRaLZYtW4Z58+bh8ccf\nhyAIaN68OVasWFHpdbr6GcTHx0v6XJIPF4KuhLfHzGq6X03pVq1aYc6cOfjjH//IepQ5PWPGDKSm\npnqsHseMGYPZs2fj7rvvdjjm888/x7Rp03DixAlotVqf14Waf5el4ELQZKcm/ebVSdd0P9OsRznT\n7uzPyclBbm6u7alXX1+Dr9K+vgfJEYMdEckmMjISn332ma+LQeSAY3akSGXLR5G69O/fH/379/d1\nMagWYsuuGsr3g9eGdFWqc54SrkdJ9ejJ89SUrorc56kpTfYY7KrB1+MA3k5XpTrnKeF6lFSPnjxP\nTemqyH2emtJkj8GOiIhUj8GOiIhUj8FOAl/0j3ur713tYwusR3l4615XQlpuavgZqQGDnQS+6B/3\nVt+72scWWI/y8Na9roS03NTwM1IDBjsiIlI9BjsiIlI9BjsiIlI9BjsiIlI9BjsiIlI9RQa74uJi\npKamolu3bmjbti0GDRqEffv2uTxeFEVs2LABCQkJmDJlisP+3Nxc/N///R8efPBBtG/fHsOGDcPx\n48c9eQlERKQgigx2s2bNwtGjR7F69Wrs378f/fr1Q0pKCs6ePetwrMFgwPPPP4/t27ejfv36TvOb\nOHEicnNz8cknn+C///0vEhMTMXLkSOTl5Xn6UoiISAEUF+wKCgqwZcsWjBs3Dk2aNEFgYCAGDx6M\nZs2aYdOmTQ7H3759G127dsW6desQFhbmsP/06dM4cOAAJk2ahPr16yM4OBhjx46FIAj46quvvHFJ\nRETkY4p7xc+JEydgNBoRFxdntz0+Ph7Hjh1zOL5u3boYM2aMy/yOHTsGvV6PVq1a2bbpdDq0bt3a\naX5ERKQ+imvZ5ebmAoBDKy08PBw5OTlu5VevXj2HpXTCwsLcyo+IiPyP4oJdZeRe+41ryRER1Q6K\nC3aRkZEAgPz8fLvteXl5iIqKciu/goICh3Xj8vPzJeentsVjlbDYLutR+XVXHuvRfb6oO3KkuGAX\nGxuLgIAAZGRk2G0/cuQI2rVrV+38EhISYDQaceLECds2g8GArKwsyfmpbfFYJSy2y3pUft2Vx3p0\nny/qjhwpLtiFhoZiwIABSEtLw7lz51BcXIzVq1fj0qVLGDx4MDIzM9GrVy9cvnxZUn7NmjXDgw8+\niPnz5+Pq1asoKirCokWLEBgYiD59+nj4aoiISAkUF+wAYNq0aejUqROGDBmCjh07YseOHVi1ahUa\nNmyI4uJinDt3DkajEQCwefNmxMXFIS4uDkePHsWXX35p++9Lly4BABYvXowGDRqgT58+6Nq1K86c\nOYN//OMfCAkJ8eVlEhGRlwgi274uiaIIQRBs3QO1LV2V6pynhOtRUj168ryq0qmpqZg5c6bP64X3\noOfSUsfvrl+/Kek4fxEdHepynyJbdkqihDEEpY5dVOc8JVyPkurRk+epKV0V1h3H7aRisCMiItVj\nsCMiItVjsJPAF3N8nO1Xwhwkf0jXdD/TrEc50pXt99Zn0x0MdhL4op/d2X4ljAP4Q7qm+5lmPcqR\nrmw/x+u8j8GOiIhUj8GOiIhUj8HOTUoYE/B1X78n8/D3dFVYd7wHlVSPtQGDnZuUMCbg675+T+bh\n7+mqsO54DyqpHmsDBjsiIlI9BjsiIlI9BjsJakufuBrHE3z9mWqpR2/h+BZ5CoOdBLWlT1yN4wm+\n/ky11KO3cHyLPIXBjoiIVI/BjoiIVI/BjohUzyICJjO7LWszna8LQETkaRoB0Gj5QEptxpYdERGp\nHoMdERGpHoMdERGpHoOdj3EirDxYj/JgPbqPdadsDHY+xomw8mA9yoP16D7WnbIx2BERkeox2Ekg\niiIMZhEmC7+JERH5IwY7CSwQYBYBrUbwWv+73Hkr4WWSvhjH8NbPRWlpOfgib6Wl5eCL32VyxGAn\ngQYiBABmi+i1/ne581bCyyR9MY7hrZ+L0tJy8EXeSkvLwRe/y+SIK6hIIAgCglhTRER+S5F/wouL\nizF//nzs3r0bBQUFaN68OcaPH48uXbo4PX7fvn1IS0vDTz/9hNDQUCQnJ2Pq1KmoU6cOAKBly5bQ\n6/UOzfzDhw8jICDA49dDRES+pchuzFmzZuHo0aNYvXo19u/fj379+iElJQVnz551OPaXX35BSkoK\nnnjiCezZswfr16/H8ePHMWvWLLvjVq9ejaysLLt/UgKdEsYNlJB2pqpjlVBupaU9dWxtSDsjx7Fq\nTZM9xQW7goICbNmyBePGjUOTJk0QGBiIwYMHo1mzZti0aZPD8R9//DGaNm2KoUOHok6dOoiJicHL\nL7+Mr776Crm5uTUujxLGDZSQdqaqY5VQbqWlPXVsbUg7I8exak2TPcUFuxMnTsBoNCIuLs5ue3x8\nPI4dO+ZwfEZGBuLj4x2ONZlMOHHihG3bBx98gB49eqBdu3Z49tlncejQIc9cABGRn0jP/NXXRfAa\nxQW7stZYWFiY3fbw8HDk5OQ4Pb5evXoOxwKwHd+6dWu0bt0aX3zxBf71r3+hZcuWGDlyJC5evOiJ\nSyDyW2LpPyK1UVywq0x1+6PLjk9PT8dLL72EkJAQhIeH480330RwcDC+/PLLan+ur8d0fFEmf0vX\ndH9tTgul/yo7VillVXq6pvs5XicvxQW7yMhIAEB+fr7d9ry8PERFRTkcHxUV5fRYAIiOjnb6GTqd\nDvfccw+uXr0qqUxKGtPxRZn8LV3T/bU9XdP9TNvzRT2SI8UFu9jYWAQEBCAjI8Nu+5EjR9CuXTuH\n4xMSEhzG8sqmFMTFxeHEiROYM2cOLBaLbb/BYEB2djYaN27smYugWsVoFlFskucPjUW05mXm3y0i\nWSku2IWGhmLAgAFIS0vDuXPnUFxcjNWrV+PSpUsYPHgwMjMz0atXL1y+fBkAMHjwYGRnZ2Pt2rW4\nffs2zp49i7S0NAwcOBChoaGIjIxEeno6FixYgKKiIhQUFGDOnDkAgH79+vnyUkklRACCTCNdZbmw\nQ4pIXooLdgAwbdo0dOrUCUOGDEHHjh2xY8cOrFq1Cg0bNkRxcTHOnTsHo9EIALj33nuxcuVKbNu2\nDe3bt8fQoUORnJyMKVOmAADq16+PNWvW4OTJk+jWrRsefvhhXL58GRs3bkRERIQs5VXC+IAv+ve9\nlZ+S0wCg1wA6jeB2N1L5/DQAAjTV75JSQl3wHvR9mlwTRHb0usSqITVKTU1Famqqr4tBHiQ1AC7f\neRr94xt4uDTeEx0d6nKfIlt2REREcmKwI1KgsodeRACVdTBYRBG3TY7vWizbbra4OJGolmGwk6A2\n9olzPEEe7taXWQQ0Qum8N8F1PVpEQIQIrUZwsV2Oq/ANjm+RnPz4V8F7auPYXW2Y+yOKZS0nz5VR\nypw/i8Vxu15b+t+l280WERYnxdQKgFYQYDaLdi3Asu0VW3yuymgRrfkr6edVsb5EUfo7Jf3xfiTP\nYrCjWstkAW6bRJ9+2zdYgBInk+q0goBArWCbgqARrP8qEgQBAVoBJhEwlAtsZdt1zk5ykodFLC2H\ngls+ggCHFizVXG1ZH5PBjsjnlNPaYCghtXL58taySdvuuOeee9w+l8hbdBpAU9p156vWnV4AzIIA\ns8Vx3K0iiwhYLCJ0WsfjArVw2s0plVYABI1v64JqzlLa3evsHqntXAa7bt26VfumF0URGo0GJ0+e\nrHHBiDxNEAT4+m+CRiNI7l7RCIDGRYFrei1KqAuqOY0gsHnugstgBwDvvPOOw+tzKpOfn48JEybU\nuFBERERyqjTYJSYm2t5CIMWNGzf4tBORl9y4ZcJtk4iGdfX8Mk9UBZc9KDt37rRbO9JiseDSpUt2\nx/z4448wmUy2/46IiMDOnTs9UEwiqqjYKCKg3BObRO6qDU9kugx2DRs2tI3ZXb58GU8++SSWLl1q\nd8ysWbPQr18/XLlyxZqZRoOGDRt6sLjqwMmy8qgNdWex3FkdxWyxXynld8FaaATraivGCtMXbPPS\nROvrgip2uNTme9D6EIc8PVC1uR79jaSx8fnz5yMkJAQvvPCC3fbZs2cjPDwc8+bN80jh1MpbL41U\nu9pQdxrNnblyWo39vLlAnQbhQVqYRDjMp7OIwG2zCE3pgycV/37W1nvQbBFRYgZEmdrDtbUe/ZGk\nYHfw4EHMnDkTrVq1stverFkzTJ06FQcPHvRI4YioCqV/s139eeTfTXtsNNVekoJdSUmJy6a1Xq9H\nSUmJrIUiUjtRFGEwizBKnBxncdIVCVhXWgnQWLvm7LZrBARqrS0ZQ+mC0u6ylHaHWkRrXmYni047\n2w5Yr9NZN6uvaARrvcj1sl3yH5KCXfv27ZGWlobCwkK77deuXcPs2bPRtm1bjxROKfz1pZRKeJmk\nr8culPpCTxECzKI1WEk5XqsRbK2SiseUdW9W3K4RrMuIuTv1qiw/jQDoNBqYLNagV3Hyu6vttv1l\ni1or4D4qqxdBYr376+8yOap06kGZKVOmYOjQoUhKSkJMTAyCg4NRWFiIixcvIiwsDOvXr/d0OX3K\nF33ucuTn6fEEb6bd5cmfRU3SQumokdEi2q156W6eonindVe+1aIT3F9ZpeLnaDWAWbSuo1m+zDoN\nYHGyvYxGsL7FQVvNa7tzPeq5B731u+yOik9kqumlroDEYNekSRNs2bIF6enpOH78OAoLC9G0aVM8\n99xz6N+/P0JCQjxdTiJVEQQBQTrAYLa+dy5I5963cotofeAiQCvAYLLg51wjGoRqERKoRaBWgL7C\nsihmUYTJApeBybowNhDoZDkVrSCgjpO/GJrSa3FGKO02dAfbKSQnScEOAMLDwzFy5EhPloWo1hHF\nspaYe3/ay77MawRr4AQAfSUvsSt/vNP9ANyMTUSKJvmtB8XFxfjoo48wffp0pKSk4Nq1a7BYLPjh\nhx88WT6fU8o4g5LSNd1fm9MVt+m11ukFZV1QZduljz9ZuypFEagbqEHUXRoU3jbhWpERubdMKDZa\n7N5Xp4EiSCHFAAAgAElEQVQ1rBpMFhhM1gdHTOUeHilr0VVcENpV2iLembfGe1BZabInqWWXnZ2N\nYcOG4erVq2jUqBGys7NRUlKCc+fOYcSIEXjvvffw0EMPebqsPqGEsQKlpWu6vzanK27TlAasitul\n5isIgu1Fr4CA+qF6HL58GxZRRJDWgla/C4JZFGG0AEE669iZCKDAIEKnERGoFXCX/s533vKLTVc9\nTmjtQtVrrPP8eA8qK032JLXs5s2bhwYNGuDbb7/FN998g4CAAADWeXYpKSlYtmyZRwtJRNLV0Vkf\nFoFgHccr+7Jv7TK10gh3/rsmrwaq6flE3iKpZXfw4EGsWbPG6Xvq+vTpg1WrVsleMCK1EUv/x1M9\nTWUx5/fRAfjNIOJCgRF7zv8GswVo17AOQgM1CChttdXRWdfUtD4Y43zM0GC2LjkW6OLhGevDJ9Ij\nXfnr93RdUM15ar1MXz3lKallp9FoXD5xaTQaVd9P7Iu+dY5FyD+O4+t6tM7v8nD+pduMFuuamBcK\nTNYXeQpAHX3ZiJ112oNO6zjfrDxzuSc2XR1Tdn51r9/TdeHre7A8X9yD5EhSsLv//vuxfPlyp/s+\n/fRT/P73v5e1UErji751jkXIP46j1nq0iNaVUswWa9poFktbYyIahGhxPt+AqzcNuFxogK39J5Se\nI9ovLl0+77IHXypud8ZiEWG2lI4JKqRefJF2xhf3IDmS1I05ZswYvPTSSzh69Cg6deoEk8mEtLQ0\nnD17Fj/++CNWrlzp6XIS1Qrl5825enN42TGBWuvDLRoBKDEDZtFid1yziACYLcDlnAL0X7IP68Z0\nRYA2FAYzYCld9eSmQcRdOgHG0q+95ef7VZyjVzkRBgugFQAtX3lOCiSpZffQQw9h7dq1aNSoEbZv\n3w6LxYI9e/YgKioK69atQ+fOnT1dTqJapbJwUfYFvnyvVenzKA5jYCaLiJvF1qGGsLsCrGtswvpk\niliamfUcEZDhXQAadqWRQkmeVN6hQwd06NDBk2WxKS4uxvz587F7924UFBSgefPmGD9+PLp06eL0\n+H379iEtLQ0//fQTQkNDkZycjKlTp6JOnToAgNzcXMydOxc//PADiouL8fvf/x6TJk1CbGys7GUX\nBPs5U0pNy32tclNCHXmy7lxdq0YQEKARrQHJSeixvtOurIvxztw2vQYwWKxpiyjCZLbALALRwVq0\na3Y3tp8uwMTV3+LRhgIuF5TgUoEB4XX0gCDAbBGh01j//5bFAo0G0GusU911GgFm0fqgStlrhJzV\niyBYV1GxWB8DrVY9mkUAouu1NaXWnSfvbyWnSRrJk8ozMzPtFoJOT0/HzJkzsWPHDtkLNWvWLBw9\nehSrV6/G/v370a9fP6SkpODs2bMOx/7yyy9ISUnBE088gT179mD9+vU4fvw4Zs2aZTtm4sSJyM3N\nxSeffIL//ve/SExMxMiRI5GXlyd72ZUwbuCtPn1P/rIpoY68NR5SMW+tRoDWRQvJaAEAEXqtYNeK\nMlhgbfKJ1uXHbplEFBpE3CwR8Uu+AfUiovD9mlR89M9dOHXDiKhgPQK0sAUZg1lEsRn4zWQNpuXf\nnacV7N+j56pehNKyV3aMs3rUCnAr0EnJuyaUcK9xfE4+klp2X3/9NV577TVs2rQJ8fHxWLFiBZYs\nWYL7778f6enpKCoqQv/+/WUpUEFBAbZs2YIlS5agSZMmAIDBgwdj06ZN2LRpE6ZNm2Z3/Mcff4ym\nTZti6NChAICYmBi8/PLLmDBhAl5//XXcuHEDBw4cwObNm1G/fn0AwNixY7Fp0yZ89dVXeP7552Up\nN5E3aATn89o0AmBBWXASSwOhdfHmu4N1EAQgqlk8crLPoH6jZjifb0DziADrgypi6VOXorU9aSpt\nITpvWxLVjCemNEiZziAp2K1atQoTJkxAfHw8RFHEunXrMGbMGEycOBHp6enYsGGDbMHuxIkTMBqN\niIuLs9seHx+PY8eOORyfkZGB+Ph4h2NNJhNOnDiBK1euQK/X2714VqfToXXr1k7zI+UxmK1PGbq7\nWLKaBGgFawMOAErH30rM1m7NgNKVVIK0GpgtIvJuWxCi1yIsKAiLfnc3vmq0CN/u/h7bZ/8Jix/o\ngK6PPoYezUJhDrDOpYuoo4WltEvyltECUbwzBigIZV2spa1IOF8sWi6+DLQWUYTBbO3KrWSZUfIz\nkoLduXPn8PjjjwMAsrKykJubi4EDBwIAOnXqhLlz58pWoNzcXABAWFiY3fbw8HDk5OQ4Pb5evXoO\nxwJATk6ObX/FOShhYWG4ceNGpWXZvHkzMjIyqn0NauPr8QSTBbanDv2ZJ+qxbG1KXYXKMVmsf7BL\nH0cBAOz55RZ+PZ0Bw60inM86gNsXMvG/ujoEaAXoNYJtwrltvcvyZcedpc18/fPw9D3oqk79ycyZ\nM31dBMWRFOz0er3txtm/fz8aN26Mhg0bArBOKrdYLJWdLpvqTpqszmRPZ55++mk8/fTT1fpMkp/Z\nIsIkWls1/vvnxzNE0brupYDSd8aVPpEpQsQtg/XBEqMICBDR59pt7P3xCt55+SkE3vcA/vBQDzzW\nMgyhgRrcHaJDeB0dNLB2gRotZTPyRNypdREBpa1GEWWtTGvzT86fiyfyrM5nW0SUjlvCrwMe2ZPU\nSG/ZsiU+/PBDZGZm4qOPPkKPHj1s+/7973/bxtbkEBkZCQDIz8+3256Xl4eoqCiH46OiopweCwDR\n0dGIjIxEQUGBw7e8/Px8p/mR8mg1AgIZ6JwSBGuLTK8VEKSz/r9OI0Cv0aBekBYWWLs3o+7SIfbu\nOhjauTH69++PXKMe+w5nYt+FW9BpNTCYgYLbZuSXiCg0WGARRdTRCaij0yBIZ81bKwgoMVsfjikL\ndLfNsJuUXlNleZq98/3ZgSBY3/weqBMY6FRGUrAbN24cPv30UzzzzDMICgrCCy+8AAD4z3/+g0WL\nFsn6kEdsbCwCAgIcug+PHDmCdu3aORyfkJDgMPZ2+PBhBAQEIC4uDgkJCTAajThx4oRtv8FgQFZW\nltP8iNRHsEuVny5QcWyMT/mRWknqxuzQoQN2796Ns2fP4v7777fNX2vatCnef/99JCcny1ag0NBQ\nDBgwAGlpaWjRogXq16+PjRs34tKlSxg8eDAyMzMxadIk28LUgwcPxoYNG7B27VoMHjwYly9fRlpa\nGgYOHIjQ0FCEhobiwQcfxPz587Fo0SIEBwfjnXfeQWBgIPr06SNbuYnkYhGt89V0Th4AMZd2s+k0\nAiwWERZY0xUDlghrQLtLJ8AMoMRkQbAOCNRqUUcvYFVKXxw4dx0NIgOQc8sEraCDwQSEBGig11lb\nbkbzndl+Zf/0mjvz+wRBQJDWWoaKjLYXyQowmEQAIvQ6TZWtc0EoW1yaz4Iqna8WdHaX5GeNcnJy\nUFhYaAt0gLUFFRMTI3uhpk2bhk6dOmHIkCHo2LEjduzYgVWrVqFhw4YoLi7GuXPnYDQaAQD33nsv\nVq5ciW3btqF9+/YYOnQokpOTMWXKFFt+ixcvRoMGDdCnTx907doVZ86cwT/+8Q+Xi1sT+ZJGgNNA\nBwBGMyBarCudGC3WqXUVjxRKHyTRagSIggANrAE0SK9FSIAGoQEatG0UimfaN0KziEA0rKsHABSb\nRNQN0iJQp4FOI8Aklk1itwZeXWkXacXFhyvOCRRF6xirUDrx3QzrC2qlhi7rgzAMdCQvQZTQb3Ho\n0CGMHj0a3bt3x8KFC23bR44ciSNHjmDNmjVISEjwaEF9gV06pDRGs/VtBkE6wS7tSonJutgzYH2g\nRKcRkJqaitTUVNwyWnA2z4gAjbUdZTADDevqEBygQaDWOtG87CXmZetwSiGWProPAdapCmZr4Avg\nmpleI/VhvuU7T7v9GUps2UVHh7rcJ6ll97e//Q19+vRxmGKwatUqDBgwAAsWLKhZCYn8mNEsothk\n/6i+p5Q9iFIx7Uqgzvom8rv0Gmg1gnUpsdK3E9yl1yD2d4G4abDgYoERRQYL9FrBNn8uQCuUPqQi\nPdABpV2RutKHikrTDHTka5KC3f/+9z+MHj3a9obyMoIg4Pnnn8epU6c8Ujgif2ABIIg1X0TZ0wSU\nrb4i2r1RIf+2pXS5LhEhAZxFTeok6c6uU6cOrl696nTflStXEBQUJGuh1EhJL5P0N0qvO73GOibl\nbre3O59pFkWYzFV/nihauyJNFuvx1nl4gt2SY23qByH6LmvX5blcAwzmshl21gdlTJY70wvK8jJb\n7kzednYdarsHy1P6/UjOSXoa89FHH8X06dMxZcoUxMbGIjg4GIWFhTh8+DAWLFiARx991NPl9Htc\nJNZ9Sq87jSDYlupyhzufqRUEQMJnCoJgPazcH01thdVPou7SIjggEEUGC4oMIgpLLIi6S4vbprKn\nIkXU0Wls55bPq7bcg+Up/X6sCSWOw8lFUrCbNGkSxo4di5SUFLtvGqIookuXLpg0aZLHCkhEnqcp\nnVwgQKyw0DQXhSZ1kBTsQkJCsHbtWhw/fhxZWVm4efMmIiIiEBsba7fAMhG5ZlvaS7AuMuzOuZbS\nqQYBujuP8pe9kNXVa4GkCNQJCNdoEBFkXSqssMSMQK0G+rLWY/lVoYn8kKRgt3TpUrzwwguIjY31\nyAtPlc4XL1l0Nw8lvExSSS+rlLv+a5IWYX0RaqBG2stNy6ctpedCFO3mrAmCAE1pu0tqnq5Yl8cS\ncNtsQYkZqBtoP3aklHpUQlqOOnD3PE8sfl0bSHpA5cMPP8S1a9c8XRbF8kWfu7t5+Go8QaljF3LX\nf03SAkRoYJ2oXd1zNSh92lMQYBZhm+bg6nhLDeqxbB3SYqPF4XNEOH+fniuVla/sP5VwT6ntd5kc\nSQp2EyZMwMKFC/HLL794uDhE6lU250zvxpwzQbDOqSub91blslvuFRGAtYUXdZcW2QUmXMg3OuQr\nx/rIFZ5zkcxgFksfnCGqHkndmOnp6cjLy0Pv3r0RFBSE4OBgu/2CIGDPnj0eKSAR+YbBLKJuoLLm\n3VkbL9ZuW5KPmp/CLCMp2LVo0cLT5VAsJYwPKC1dWd0ooXz+kK7pfm+km0UG4LcSM8wWa3nKWnSS\nxhhFa1elVmNd51KusgVoRZgs1pVgNILzcUol1J0S0mRPUrCbN2+ey31GoxGXL1+WrUBKo4TxAaWl\nK9uvhPL5Q7qm+72RrqMToNNoYbBY321XnXOtbzIXZC+bIAh3nhB1cawS6k4JabJX4z6Kn3/+GQMG\nDJCjLESkMNY/EIJX1v0k8iRJLbuSkhIsWbIEe/futb0FvEx+fj6io6M9Ujgiko/RXHHCeNW0GgFB\nQlmLyb2HStwliiIMFuvoHBeSppqS1LJbsmQJPv/8c9x///3Iz89HYmIiWrZsiYKCAjzxxBNYs2aN\np8vpU4IgyJ529zO9VT5/STvjyfP8OW0SAU01+nLKzrOO1wmSA51sP1tBsL2o1td1V2k5q+CLe5Ac\nSWrZbd++HYsXL0ZycjISEhLw+uuvIyYmBhcvXsTYsWNRUFDg6XL6lC/606tznhLGB5Q0LlGT80RY\nWzAa+P7a5E7rBMDs7LXiLjgfDwMsVazWItvPVrQuXG2yiHbTHXxdjw7lrIIvfperozY8iQlIbNld\nu3bN9kSmVquFwWAAYH1L+KRJkyp9gIXIn8g1j0yJpLz/riqCgBotS1a9z7K+B49dmCQHScEuNDTU\n9oqfiIgInD171rYvJiYGp0+7/7ZbIiIiT5MU7JKTk/H666/j6tWraN++PRYsWIDvvvsO//vf//DO\nO+8gMjLS0+X0S0oYT5C7H98swum7zDxJLXXniic/Rwl154vr89bnqKUeawNJwe7111/H3XffDYvF\nghdffBG3b9/GCy+8gP79++Of//wnxo0b5+ly+iUljCfIPe9GK6D0rdbem9OjlrpzxZOfo4S688X1\neetz1FKPtYGkB1Sio6Oxfv16239v374dBw4cgNFoRGxsLO655x6PFZCIiKimXLbshg0bhsLCQqf7\n7rrrLjzyyCN47LHH7AJdQUEBhg0bJn8piUiR2Nggf+Ey2P3www8wmUzVysxoNOKHH36ocaGIyD9w\nGIn8hctuTFEUMWDAAGiqMQvVYqnGJB4iAnDn/XD+MuVBFEVAqPo1Q0RK4jLYjR071pvlIKq1/CXI\nAdZAd9sM6DQi9P5UcKr1GOyIiEj1JD2N6U3Z2dmYO3cuMjMzIYoi2rRpgzfeeAMxMTEuz1m3bh0+\n+eQTXL58GQ0aNMAzzzyD4cOHAwAOHDiAYcOGISAgwO6cNm3aYMOGDZ68FCLVEQQBQVoR5QcsLKII\ns2idlqLhIB4plKKCndFoxOjRoxEfH4+tW7dCp9Nh3rx5GDVqFLZu3Qq9Xu9wzubNm7F06VL8/e9/\nR2JiIjIzM/Hiiy+iXr166Nevn+24rKwsb14KkWoJgoByr5SDyWJdaECvV9ZbzYnKU9TduXfvXpw/\nfx5Tp05FREQE6tati8mTJyM7Oxu7du1yes769esxYMAAdOrUCQEBAWjXrh0GDBiAdevWebn0RLWT\nRoDtDQXkX2rLItCAwoJdRkYGGjVqhPDwcNu2sLAwxMTE4NixYw7HGwwG/Pjjj4iPj7fbHh8fj1On\nTqG4uNi2bfLkyUhOTkZSUhLGjx+PX3/91XMXQlSL6DQC6ugEv3rQhmofrwY7k8mEwsJCl//y8vJQ\nr149h/PCw8ORk5PjsD0/Px9ms9nhnPDwcFgsFuTn5yM4OBjx8fHo1q0bdu7ciY8++gjXr1/HmDFj\nqj2PkIiI/FONx+yOHDmCW7duoWvXrlUee/DgQYwYMcLl/kGDBrnc584iqIIgIDY2Fp9++qltW+PG\njTFjxgz07dsXGRkZaNeuXbXzrc7nl61np4S0J6/Pk3krLe3Ja/Vk3kpIe+v63GERRVgsgM7JK4WU\nUHeerMfaoMbB7o033sAvv/yC//3vf1Uem5SUhFOnTrncv3TpUuTn5ztsz8vLQ1RUlMP2sLAw6HQ6\nh3Py8vKg0+nsukPLa9y4MQDYXlvkKUpYMNZbi+N6Mm+lpeVWm+pRbnJ+jkYQoNE636eEumOgq5ka\nd2POnz9ftodBEhISkJ2dbddleePGDVy4cMFpCywgIACtW7d2GM87fPgwYmNjERgYiK+//hpr1661\n2//zzz8DABo1aiRLuYmISNlcBrujR4/a3khe2TqZ8fHx6NChgyyF6dKlC5o3b465c+ciLy8Pubm5\nmDNnDlq0aIGkpCQAwIYNGzB06FDbOcOHD0d6ejq+++47GAwG7Nu3D1988YWtuzQgIAALFy7Etm3b\nYDQaceHCBcyePRsdOnRAXFycLOUmIvJH6Zm150G9St96cP36dVva1RsQ5KTVarFixQoUFxejW7du\n6N69O0wmE1asWAGt1tq/kJeXh/Pnz9vOefzxxzF58mRMnz4diYmJmDlzJt544w306tULANC9e3fM\nnTsXy5cvR/v27TFw4EC0bNkS7733nuRy+eLli9U5Twkvk1TSSyw9eZ5a087Ife+qNV0VX9yD5EgQ\nXXQEP/zwwwgNDUWLFi2wbds2dO/eHYGBgS4zWrx4sccK6SvsIyc1Sk1NRWpqqq+LUSWx9H/4N7z6\npAa+5TtPq2quXXR0qMt9Lh9QmTFjBtLS0pCRkQFBEHD8+HGXb0DgNwoikptg+x+imnMZ7B555BE8\n8sgjAIBWrVrh888/R2RkpNcKRkREJBeXY3YzZ860jdP169ev0i5MNVPCmIDS0pXtV0L5/CFd0/1K\nT1tEwGQRIXoo/8r2K+H6lZAmey6DXXp6uu2JzM2bN6OoqAgGg8HlP7VSwpwapaUr26+E8vlDuqb7\nlZ7WCNZlxAQP5V/ZfiVcvxLSUqhpvK4qLrsx4+PjkZKSAsBagWVdms4IgoCTJ0/KXzoiIiIZuAx2\naWlp2LJlCwoKCvDuu+9i+PDhCA4O9mbZiIiqRQQgiv719nfyDpfBLiwszDZ5+8CBA3jppZdQt25d\nrxVMSQTB++vZeTIPf0+7WwfunqemtBx1IEcenkpDFCEIrEdyJGltzA8++MDT5VA0b/aheyMPf09X\nB+uO92BtrEdy5DLYde3aFVu2bEF4eHiVbzQQBAF79uyRvXBERERycBnskpOTodfrAVgDHx9pJSIi\nf+Uy2M2bN8+Wfuutt7xSGDXzhzEaf8C6cx/vQXmwHv2Ty2B37ty5amXUpEmTGhdGzfxhbMEfsO7c\nx3tQHqxH/+Qy2PXu3btaXZdSXt5KRETkC5K6MYuLi7F8+XIkJibigQceQHBwMG7evInDhw/j5MmT\nePXVV71SWCIiIne4DHb9+vWzpadPn45hw4Zh5MiRdseMGDECK1aswP79+9GnTx/PlZKIiKgGXK6N\nWd6OHTvQvXt3p/t69uyJb7/9VtZCERERyUlSsDMajThz5ozTfT/99BOMRqOshSIiIpKTpBVUHnnk\nEUydOhUnT55Eq1atEBQUhNu3byMrKwuffPIJkpOTPV1OIiIit0kKdjNnzkRqaipWrlxp14rTarV4\n5JFHMHPmTI8VkIiIqKYkBbuQkBAsWrQIc+bMwS+//IKioiLcddddaNSoEUJCQjxdRvIxToSVB+vR\nfaw7qilJwa5MUFAQWrVq5amykEJxIqw8WI/uY91RTUl6QIWIiMifMdgREZHqMdjJrPwSa0pOy8GT\n+flLWg61tR7l4Iu8lZYmaRjsZKaEF0t6axzDk/n5S1oOtbUe5eCLvJWWJmkkBTtRFPH+++9jyZIl\ndtvHjx+P999/3yMFIyIikoukYLd8+XIsW7YMkZGRdtsTEhKwcuVKrFixwiOFIyIikoOkYJeeno75\n8+dj6NChdttHjBiBt956C5999plsBcrOzkZKSgqSkpLQuXNnpKSkIDs7u9JzfvvtN8yYMQOtWrVC\nenq6w/7jx49j+PDh6NixI7p27YpXX30Vubm5ksvkiz73qo5VwliB0tKeOrY2pJ2R49jalnbGF/cg\nOZIU7K5cuYLWrVs73de6dWtcuXJFlsIYjUaMHj0adevWxdatW7F9+3aEh4dj1KhRLtffPHv2LPr2\n7QvAeT92fn4+Ro0ahdjYWHz77bfYvHkzCgsLMWHCBMnl8kWfe1XHKmGsQGlpTx1bG9LOyHFsbUs7\n44t7kBxJCnaNGzfG7t27ne7btm0b7r33XlkKs3fvXpw/fx5Tp05FREQE6tati8mTJyM7Oxu7du1y\nes6NGzcwffp0TJ8+3en+rVu3QhRFTJw4EaGhoYiKisJrr72GgwcP4scff5Sl3EREpGySVlAZMWIE\npk+fjgMHDiA2NhbBwcEoLCzE4cOHsW/fPsyaNUuWwmRkZKBRo0YIDw+3bQsLC0NMTAyOHTvm9DVD\nHTp0AACYTCaXebZu3Ro63Z1LbdmyJQIDA5GRkcEVYYiIagFJwa5///7QarVYtWoVduzYAQDQaDRo\n2bIlFi5cKPnFrSaTCbdu3XK5Py8vD/Xq1XPYHh4ejpycHEmfISVPQRBQr149SXkKgvtr8qk1XVXd\nsO5qXjdKKKuS01XVo9R6VnOa7EleG7Nv377o27cvSkpKUFhYiPDwcLvWkhQHDx7EiBEjXO4fNGiQ\ny32eGHyVkqcSxgGUlq7p/tqclnqsEsqq5HRN99eGNNmrVrQqKirC6dOncf36dSQnJ0On08FsNkOr\n1Uo6PykpCadOnXK5f+nSpcjPz3fYnpeXh6ioqOoU1SYyMhLXr1+32yaKIgoKChAdHe1WnkRE5F8k\nPaBiNpsxf/58dO7cGUOGDMHEiRORk5ODX3/9FX369MHVq1dlKUxCQgKys7Ptuhdv3LiBCxcuoF27\ndm7nefLkSbunObOyslBSUoLExMQal5mIiJRPUrB777338Omnn+Lll1/GRx99hKCgIABAaGgooqOj\nHVZWcVeXLl3QvHlzzJ07F3l5ecjNzcWcOXPQokULJCUlAQA2bNjgMN+vMn369IFer8fbb7+NoqIi\nXLlyBQsWLMDDDz+MZs2aScrDF/NdvJWfv6TdxbpzH+9B/61HciQp2G3evBmpqal46aWXkJCQYNse\nEhKCV155Bf/5z39kKYxWq8WKFStQXFyMbt26oXv37jCZTFixYoWtqzQvLw/nz5+3nfPmm28iLi7O\nVq7p06cjLi4OPXv2BGANyGvWrMGJEyfQpUsXPPXUU4iJicHixYsll8sX/ebeys9f0u5i3bmP96D/\n1iM5EkQJNdSmTRts3boVMTExAKxdg1999RViYmJw8eJF9OrVC8ePH/d4Yb2NNw+pUWpqKlJTU31d\nDPIgqa2869dvergk3hUdHepyn6SWXcOGDXHo0CGn+zIyMlC/fn33SkZEROQFkp7G7NGjB2bNmoXL\nly/bxs5Onz6N3bt3Iy0tDc8995xHC6k2nFMjD9ajPFiP7mPd+Q9JwW7s2LG4ceMG3nvvPbz77rsQ\nRRF//vOfodVqMWDAALz88sueLqeqKGk8wZ+xHuXBenQf685/SAp2er0ec+fOxYQJE3D8+HEUFRWh\nXr16iI2NdXjtDxERkdJInlRusVig0+nQtm1bp0t6ERERKVWVwe67777DypUrcejQIdvE7JCQEHTt\n2hWjRo1y+eofIiIipag02K1atQqLFi1Cs2bNMGzYMDRo0AAmkwm//PIL/v3vf2PQoEGYNm0ahgwZ\n4q3yEhERVZvLYHfs2DG8/fbbmDJlCoYPH+6w/80338Q777yDuXPnonXr1mjTpo0ny0lEROQ2l/Ps\nPvzwQ/Tu3dtpoAOsq5288sor6N27N1atWuWp8hEREdWYy2B36NAhDBgwoMoMBg8ejCNHjshaKCIi\nIjm5DHbXr1/HfffdV2UGMTExyMvLk7NMilMbF1hV0kK6/kapCxL7G9YjycllsDMajQgMDKwyA61W\nq/oJkWq/Pmc4WdZ9Sl2Q2N+wHklOLoOdIAj8FkRERKrg8mlMURTx5JNPVhnw+E2JiIiUzmWw69ev\nn2P/mD8AABsRSURBVDfL4dc8sRisN9NyX7ccefhj2l2e/Fn4S1ru65Y7P39Jk2sug928efO8WQ6/\n5umxBaWOXciRnxKuX0n1KEce/ph2l7fy85c0uSbpfXZERET+jMGOiIhUj8FOAk/P93H2EJC7+2tz\nWuqxSiirktM13c+0PV/UIzlisJPAF33u7u6vzWmpxyqhrEpO13Q/0/Z8UY/kiMGOiIhUj8GOiIhU\nj8GuCkro+1dC2hmO6XhuXLG6x9aGtDNyHKvWNNljsKuCEvr+lZB2hmM6nhtXrO6xtSHtjBzHqjVN\n9hjsiIhI9RjsiIhI9RjsJPBFX7kv8lZaWg6sO/fxHpSHv+atNooLdtnZ2UhJSUFSUhI6d+6MlJQU\nZGdnV3rOb7/9hhkzZqBVq1ZIT0+323fgwAG0bNkScXFxdv+ee+45yWXyRV+5L/JWWloOrDv38R6U\nh7/mrTaKCnZGoxGjR49G3bp1sXXrVmzfvh3h4eEYNWoUjEaj03POnj2Lvn37Aqj8h52VlWX3b8OG\nDR65BiIiUh5FBbu9e/fi/PnzmDp1KiIiIlC3bl1MnjwZ2dnZ2LVrl9Nzbty4genTp2P69OleLi0R\nEfkLRQW7jIwMNGrUCOHh4bZtYWFhiImJwbFjx5ye06FDBzz00ENV5j158mQkJycjKSkJ48ePx6+/\n/ipbuWvC1+MJasF6lAfrzn28B5XNq8HOZDKhsLDQ5b+8vDzUq1fP4bzw8HDk5OS49ZnBwcGIj49H\nt27dsHPnTnz00Ue4fv06xowZA5PJVNNLqjFfjyeoBetRHqw79/EeVDaXL2/1hIMHD2LEiBEu9w8a\nNMjlPne/BcXGxuLTTz+1/Xfjxo0xY8YM9O3bFxkZGWjXrp1b+RIRkf/warBLSkrCqVOnXO5funQp\n8vPzHbbn5eUhKipKtnI0btwYAHD16lXZ8iQiIuVS1JhdQkICsrOz7bosb9y4gQsXLrjdAvv666+x\ndu1au20///wzAKBRo0Zul5WIiPyHooJdly5d0Lx5c8ydOxd5eXnIzc3FnDlz0KJFCyQlJQEANmzY\ngKFDh0rOMyAgAAsXLsS2bdtgNBpx4cIFzJ49Gx06dEBcXJynLoWIiBREUcFOq9VixYoVKC4uRrdu\n3dC9e3eYTCasWLECWq0WgLVL8/z587Zz3nzzTcTFxSEhIQEAMH36dMTFxaFnz54AgO7du2Pu3LlY\nvnw52rdvj4EDB6Jly5Z47733vH+BRETkE4LIR4JcYtWQGqWmpiI1NdXXxSAPkvpA3/XrNz1cEu+K\njg51uU9RLTsiIiJPYLCToLZMBPXnxXZd8cXnqKXuymM9kr9jsJOgtkwE9efFdl3xxeeope7KYz2S\nv2OwIyIi1WOwIyIi1WOwqwYlvExSSWMX7uahhOv0dT16sv79PV0dvAc5DikVg101KOFlkkoau3A3\nDyVcp6/r0ZP17+/p6uA9yHFIqRjsiIhI9RjsiIhI9RjsJPBFP7uz/UoYB/CHdE33M816lCNd2X6O\n13kfg50Evuhnd7ZfCeMA/pCu6X6mWY9ypCvbz/E672OwIyIi1WOwIyIi1WOwqwYljAN4Ki2KIswW\nEdXpCKnOeIFSrtMXaWc8eZ6a0lWR+zw1pckeg101KGEcwFNpgwUwWkRU51elOuMFSrlOX6Sd8eR5\nakpXRe7z1JQmewx2BMB6I1Qv1BER+Q+drwtAyqDXCtDxWyERqRRbdhL4on/cW33v5T9Ho9E43e7P\nYwu++Bw1jtF4615XQlpuavgZqQGDnQS+6B/3Vt+72scWWI/y8Na9roS03NTwM1IDBjsiIlI9Bjsi\nIlI9BjsiIlI9BjsiIlI9BjsiIlI9BjsiIlI9BjsiIlI9BjsiIlI9xQW77OxspKSkICkpCZ07d0ZK\nSgqys7NdHm8ymfDuu++iR48eeOCBB9CzZ09s2LDB7pjjx49j+PDh6NixI7p27YpXX30Vubm5nr4U\nIiJSCEUFO6PRiNGjR6Nu3brYunUrtm/fjvDwcIwaNQpGo9HpOUuXLsXnn3+OtLQ0HD58GK+//jr+\n+te/YufOnQCA/Px8jBo1CrGxsfj222+xefNmFBYWYsKECd68NCIi8iFFBbu9e/fi/PnzmDp1KiIi\nIlC3bl1MnjwZ2dnZ2LVrl9NzdDodpk6dilatWkGr1aJ79+64//778d133wEAtm7dClEUMXHiRISG\nhiIqKgqvvfYaDh48iB9//NGbl0dERD6iqGCXkZGBRo0aITw83LYtLCwMMTExOHbsmNNzJkyYgMce\ne8z23waDAdeuXUODBg1sebZu3Ro63Z0XPLRs2RKBgYHIyMiQVC61LR6rhMV2WY/Kr7vyWI/u80Xd\nkSOvvuLHZDLh1q1bLvfn5eWhXr16DtvDw8ORk5NTZf6iKGLGjBkICgrCoEGDXOYpCALq1asnKc+y\nfKtKy602LbzLelRm3ZXHenSfL+qOHHk12B08eBAjRoxwub8sQDlT1beW27dvY/LkycjKysKaNWsQ\nEhJSZXn4TYiIqHbwarBLSkrCqVOnXO5funQp8vPzHbbn5eUhKirK5Xm5ubkYM2YM9Ho9PvnkE7tj\nIyMjcf36dbvjRVFEQUEBoqOj3bgKIiLyN4oas0tISEB2drZd9+KNGzdw4cIFtGvXzuk5RUVFGDly\nJGJiYrBu3TqHoJiQkICTJ0/aPc2ZlZWFkpISJCYmVlkmJYwhKHXsojrnKeF6lFSPnjxPTemqsO44\nbieVooJdly5d0Lx5c8ydOxd5eXnIzc3FnDlz0KJFCyQlJQEANmzYgKFDh9rOWbJkCYKCgrBw4UIE\nBAQ45NmnTx/o9Xq8/fbbKCoqwpUrV7BgwQI8/PDDaNasWZVlUsIYglLHLqpznhKuR0n16Mnz1JSu\nCuuO43ZSKSrYabVarFixAsXFxejWrRu6d+8Ok8mEFStWQKvVArB2aZ4/f952zsaNG5GZmYmEhATE\nxcXZ/vXs2RMAEBoaijVr1uDEiRPo0qULnnrqKcTExGDx4sU+uUYiIvI+QeRXAZdYNaRGqampSE1N\n9XUxyIOkdmdev37TwyXxrujoUJf7FNWyUypf9LM726+EcQB/SNd0P9OsRznSle3neJ33MdhJ4It+\ndmf7lTAO4A/pmu5nmvUoR7qy/Ryv8z4GOyIiUj0GOyIiUj0GOzcpYUzA1339nszD39NVYd3xHlRS\nPdYGDHZuUsKYgK/7+j2Zh7+nq8K64z2opHqsDRjsiIhI9RjsiIhI9RjsJKgtfeJqHE/w9WeqpR69\nheNb5CkMdhLUlj5xNY4n+Poz1VKP3sLxLfIUBjsiIlI9BjsiIlI9BjsiIlI9BjsiIlI9BjsiIlI9\nBjsiIlI9BjsiIlI9Bjsf40RYebAe5cF6dB/rTtkY7HyME2HlwXqUB+vRfaw7ZWOwIyIi1WOwIyIi\n1WOwk8AX/e9y562El0n6uh7lzk/JaTn4Im+lpeXgi99lcsRgJ4Ev+t/lzlsJL5P0dT3KnZ+S03Lw\nRd5KS8vBF7/L5IjBjoiIVI/BjoiIVI/BrgpKGDdQQtqZqo5VQrmVlvbUsbUh7Ywcx6o1TfZ0vi5A\nRdnZ2Zg7dy4yMzMhiiLatGmDN954AzExMU6PN5lMeP/99/Hll1/i+vXruPvuuzF06FA899xzAIAD\nBw5g2LBhCAgIsDuvTZs22LBhQ5XlUcK4gRLSzlR1rBLKrbS0p46tDWln5DhWrWmyp6hgZzQaMXr0\naMTHx2Pr1q3Q6XSYN28eRo0aha1bt0Kv1zucs3TpUmzduhXLli3D/fffj//85z8YP348GjRogEcf\nfdR2XFZWljcvhYiIFERR3Zh79+7F+fPnMXXqVERERKBu3bqYPHkysrOzsWvXLqfn6HQ6TJ06Fa1a\ntYJWq0X37t1x//3347v/b+/OY6K69gCOf5EiCoobKKhAjAZEByoRF1BrpSKiReJSRS3uUjQutanB\nFleQ11q1SDFFUXGpaVNZRKsgpbZW0WerCG6NKy6IVhBQEEEZmfeHYV6nQCvKwMzk90nGzL33nHt/\n5yTym7ud89//NnD0QgghdJVOJbusrCzs7Oxo06aNel3r1q2xtbXl7NmzNdZZuHAhw4YNUy8/e/aM\nvLw8bGxsNMoFBwczaNAgPDw8WLBgAffu3XvpuHTpnk5jxKQv31+2rC7EqsvfX3e7fNfUGP0oqmvQ\nZKdUKikuLq71U1RURKtWrarVa9OmDQUFBf+6f5VKxYoVK2jWrBkTJkwAwNzcHBcXFzw9PTl8+DDf\nffcd+fn5BAYGolQqXypuXbqn0xgx6cv3ly2rC7HW9XulSkXVYmP3ozaPbUjfX3e73K+rXw16z+73\n339n+vTptW6vSlA1+bdfLeXl5QQHB3P+/HliY2Np0aIFAAqFgri4OHU5e3t7VqxYgZ+fH1lZWbi5\nub3yMYVoKEbqf17fqlWr6mdHQu9ZWbVs7BAaTIMmOw8PDy5fvlzr9sjISB4+fFhtfVFREZaWlrXW\nKywsJDAwEBMTE/bs2fOPZeFFwgO4f//+S0YuhBBCn+nUPTtXV1dycnI0Llk+ePCA27dv13oG9vjx\nY2bOnImtrS07d+6sluiSk5PZsWOHxrrr168DYGdnV78NEEIIoZN0KtkNGDCAbt26ER4eTlFREYWF\nhaxevRoHBwc8PDwA2L17NwEBAeo6GzZsoFmzZqxdu7bau3QATZs2Ze3atRw8eJCKigpu375NWFgY\nffv2xdnZucHaJoQQovEYqXTsrua9e/cIDQ3l5MmTGBkZ4eHhwbJly+jQoQMAUVFRxMXFcfToUQB6\n9OiBkZERTZpo5u2OHTuSmpoKQFJSErGxsdy+fRtTU1O8vb35+OOPsbCwaNjGCSGEaBQ6l+yEEEKI\n+qZTlzGFEEIIbZBkJ4QQwuBJsjMQOTk5BAUF4eHhgbu7O0FBQeTk5NRaXqlUsnHjRry8vOjVqxfe\n3t4vNTC2PqhrXwCUlpayYsUKunfvTmJiYgNFqh1lZWWsXLkST09PevfuzYQJEzh+/Hit5Y8fP46/\nvz9ubm4MGTKE5cuXU1ZW1oARa09d+0KlUrF7925cXV1ZsmRJA0YqtE2SnQGoGkDbwsKCAwcOkJqa\nSps2bZg1axYVFRU11omMjCQhIYGoqCgyMjJYvHgx//nPfzh8+HADR1+/XqUvsrOz8fPzAwxjFIrQ\n0FAyMzPZtm0bJ06cYPTo0QQFBZGdnV2t7M2bNwkKCmLkyJEcO3aMXbt2ceHCBUJDQxsh8vpXl754\n9uwZU6dOJTU1FWtr60aIVmiVSui9n3/+WdW9e3dVYWGhel1RUZHKyclJlZaWVmOdDRs2qFJTUzXW\njRo1ShUWFqbVWLXtVfrit99+Ux05ckRVUVGhcnBwUCUkJDRUuPXu4cOHqp49e1Zrq5+fnyo8PLxa\n+c8//1w1atQojXVpaWmqHj16qAoKCrQaq7bVtS8ePXqk2rx5s+r58+cqf39/VXBwcEOFKhqAnNkZ\nAG0OoK1vXqUv+vbty+DBgxsqRK26ePEiFRUV1d4hdXFxqbH9WVlZuLi4VCurVCq5ePGiVmPVtrr2\nhYWFBYGBgdVeYxKGQafmsxM1UyqVPHnypNbt2hhAW1dpuy/0XWFhIfAiwf9Vbe0vLCys1l9VPxT0\nvb/q2hfCsEmy0wONMYC2rtJmXxi6urbfkPvLkNsmaibJTg/oygDaukBbfWEo2rVrB8DDhw/Vow5B\n7e23tLSs1l9FRUUAWFlZaTFS7atrXwjDJhenDYA2BtDWV6/SF4ZEoVDQtGlTsrKyNNafOXOmxva7\nurpWu3+VkZFB06ZN9X7s2Lr2hTBskuwMgDYG0NZXr9IXhqRly5aMHTuWqKgobty4QVlZGdu2bSM3\nNxd/f3/OnTvH8OHDuXv3LgD+/v7k5OSwY8cOysvLyc7OJioqivfee4+WLfV7rrO69oUwbJLsDICx\nsTExMTGUlZXh6enJ0KFDUSqVxMTEYGxsDLy4dHPr1i11nW+//ZZz587h6uqKs7Oz+uPt7d1YzagX\nr9IXS5cuxdnZGVdXVwCWLVum133x6aef0r9/fyZNmkS/fv348ccf2bp1K506daKsrIwbN26o3zns\n3LkzW7Zs4eDBg/Tp04eAgAAGDRpkMC9U16UvkpKS1P8PMjMz2bdvn3o5Nze3kVsiXpcMBC2EEMLg\nyZmdEEIIgyfJTgghhMGTZCeEEMLgSbITQghh8CTZCSGEMHiS7IQQQhg8SXZC5yxZsgRHR8dqnz59\n+hAYGFjr7AUAERERODo6EhIS8loxBAQEMH78ePWyo6Mj69atUy//8ssvvP322ygUCjIyMoAX7+v1\n7t2bESNGvPRxPD091e3T90ljAaKiotTtMdQX94V+kmQndFLbtm1JT09Xf44ePUp0dDRKpZKAgAAu\nXbpUrc7z589JTEzEycmJlJSUep1tOz09nTlz5qiXv/rqK8zNzUlJSUGhUHDp0iXi4uKYPHky27dv\nr9O+Z8yYQXp6ep2SpK6qaouPj09jhyKEBkl2Qic1adIEKysr9adDhw64ubkRFRWFiYkJu3fvrlbn\n2LFjPHjwgM8++4ynT5+Smppab/FYWVlhbm6uXn706BEODg7Y2tpiampKcXExAG5ubhqDDr8MMzMz\nrKysaNasWb3F21jMzc0Npi3CsEiyE3rF3NwcOzs77t27V21bfHw87u7uODk58dZbb5GQkPBS+zx9\n+jR+fn4oFAq8vLxISkqqVqbqMuadO3dwdHQkNzeX5ORk9eW6qkt2s2fPxtPT87Xa+Ouvv+Lv70+v\nXr1wdXVlzJgxpKWlVYtn69atzJo1C4VCwY0bN4AXk7G+//779OrVi4EDBxISEqKexUClUrFp0ya8\nvb1xcXGhf//+zJs3j5ycHPV+nz17RkREBD4+Pri4uDBkyBAiIyNRKpUax09MTOTdd9/F2dkZLy8v\noqOjqaysfK12C6FNkuyEXikvL+fOnTt06tRJY31BQQFHjhxhzJgxAIwdO5ZTp05p/CGvSVFREUFB\nQVhYWBAfH09ERAQHDhzg+vXrNZa3sbEhPT0da2tr3nnnHdLT04mOjiYqKgqA9evXEx8f/8rtu3Xr\nFnPnzsXBwYGkpCT27dvHgAEDWLhwIX/88YdG2bi4ODw8PEhNTaVTp05kZ2czbdo0unTpQlxcHJGR\nkZw+fZpFixYBL34MbN68mcWLF3Po0CFiYmIoLi7mgw8+UO9z1apV7Nixg5kzZ3LgwAEWLVrErl27\nWLt2rbrMvn37WLp0KePHj1eXiY6OZtOmTa/cbiG0TeazE3o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BW+0fpdOXolghhhn7p9wiwReUMHdClFqTlKjirSNURbEEh6QJCxwuEEblPe98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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": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RA correction: -0.00015501241250603925 arcsec\n", "Dec correction: -0.0003735176392183348 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": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue[RA_COL] += delta_ra.to(u.deg)\n", "catalogue[DEC_COL] += delta_dec.to(u.deg)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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I8PbvBI1GkNy8ohEAjZMC1/ZalFAXVHsaQeDjuRNOgx0AvP3223bL51SloKAA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\nmkrr1q3x9PQEYPjw4XTo0IHdu3ezaNGievf5008/8ejRI1a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YKzXkghJgSu3sEwmwc8aBNZ8DjB1T+TiKYmnMNLWyYB/XxEuisCg6CBeY4GLa\nb2NC6CaJbdu2Yc2aNXjssccwa9YsvPnmm+jp6UFnZye2b9+OdevWYd26dejo6MCuXbtw1113YcKE\nCbjmmmuKHm/z5s1Yt24drrzySuzfv3/E588//zy+973v4fHHH0dHRwfefvttLFu2DM3NzVi0aFHQ\nlxsORtYjH8T6d6lY6GJqxbAm9rBC5EolpIrDAmbfnRWJQPBSIZmNHQP09Vs7xmQin39BUpww+0JC\nA4bTgtOtbQyI4ZZcq+BnzoxyeLkPTvx4eNvt2pw4jEH7feWaE8qsTY3M91GW0DUMa9euxW233Yar\nrroKyWQSs2fPxksvvYRp06bh5ZdfxoIFCzB79mwkEgnMmTMHN998MzZt2lTyeLquo7e3F1dffXXR\nz3/84x/jhhtuwJw5c5BMJtHZ2YkbbrgBGzduDOoSI8ChRO/WAa4WcbqD5MWootzl2yZQUYPrKooz\nmQCbeC7YxPFgrS3xmJhHMdTIgJoZUDNrG29ssP4akoV90p6enRfxcqv94HVhguzP4nGdbjRE816c\n5xpNy2pPpLBQiVCf4rFjx3Dw4EE0NTWhq6sLHR0dWLhwIV588UUAVggMtXX41tZW7Nmzp+Qxly5d\nira2tqKfZTIZ7Nu3DzNmzCh4f8aMGdi/fz+GhoaqvKKYINoXiVJ+J1/vaVG5yr/c5GmfqMO0rYoq\n0ArPwFWzwnQqGyVQCuim9ef0WVAjAwIGwhhATVAqFHgr5zRYTaineCy7L4Rf2M/hhnqda0Yhoc4w\nR44cAQBs2bIFPT09+M1vfoMbb7wRK1euxM6dOzF37lxs27YNb7zxBjKZDN555x1s3boVfX19YB4m\n9b6+PpimiebmQq/x1tZWUErR19fny3VFjqrmbfQpB2GRxRaWsB0h/cZum3S6RfeSxbEaeNXFIrtI\ne76lWK3/fBdbp74XxTCFrmQ4veQCKxjJh9WO+B4p/9oNYfTfSua9yEMpJWEQqg6GL/qLFy/OOSje\neuuteOGFF9Db24sHH3wQQ0NDWLVqFU6fPo3Ozk50dXVh9erVgThRxdYxywvVXAv3FOY68VitVA6w\nx1RX8pUQrxWI1fVy+SVGTbKgNO8nY9KRO+Y6w/MaTFQwpoOAZBN9lpliRW1TNQ+cJ70qlunTL8TE\nWsWeewXfnBHYtZymaUX3UFiVZMuFn0oiI1SBgZsOWltbC96/8MILcfToUWiahuXLl2P58uW5zzZv\n3oxJkyZUvjolAAAgAElEQVR5Ol9LSws0TRuhSTh16hQ0TRvRjlGJPTa51rDP7KWcHkXEOhqxW5lj\n+hgYQ8H2OWizlpdcGl4oUeNBlIfcXKqiqGBEAWMUpFJoqV9CF/d7CPqZ+JFemudmYLB+w2uspDNW\nHg8FgGFaBdSCSCInqYpQZ8u2tja0tLSM8Ek4fPgwJk+ejH379uHVV18t+Oy1117D7NmzPZ0vmUzi\n8ssvx+7duwve37VrF6ZNm4ZUSnqT1wWi0ODU6bEWNSlRUuB7gXBCT/n/y31e7XnKmK80JRsFrFh/\nTiGEQFHU8DWYUUmabs5rZPNS8N/kIkNsx6M1bB6tY0KdMVVVRXd3NzZt2pTzU9i8eTP27t2Lrq4u\nHDp0CPfccw927twJ0zTx9NNPY8eOHeju7s4dY8mSJa4iHJYuXYre3l5s374dmUwGr7/+Op577rmC\nY44KStkYxaqG4utagU/4/Npqrf1xgt/DYguxolgx+AoJ3puc71gpy6cTF9to0rxPhZ828yIOg2pI\n5SZqHjE7aCVBvRgNSTBq3X8G5GtVUGolv9KN8jlmJKEQehzJsmXLYBgG7r//fpw4cQIXX3wx1q9f\nj/b2drS3t+O9997DihUr0N/fj8suuwwbNmzAJZdckvv9Bx98gJMnT+ZeT58+HQBy0RX89e233447\n7rgD8+fPR39/P1atWoUjR45g0qRJeOCBBzBv3rwQrzomlLIx1voiK+adkEKDN+zZ+4qpmcP0W6BC\nmm57ZA9vgp8Oq2K6clmsyBtOxp2qAtTIJ0niwqeqAuOaLD83e+ipaBuq5wivGoAwL+EHo4Tjx89E\n3QR/KBbCVU+Lqj3kq56uLSyKCQxR3Ude3IgLKOLulWsYiNBGP9KJOyncJQkfXS8UGEpVkJX4xsSJ\n40p+JjNVjAbsUQGAI69qk1LLHhv3ASp3HdVjr/dhN1WFeX8JsRzexOqIYvZA8T0/FnW7pkIKndEj\nZkXlDrduNVyUAhkDAMuntpZUhRQYRgt8QSgWRVBkwU2bRs7vSFUUJOM8gYrXJgUH79hV//ZF1O97\nK/qdFOtfpfpcGGGDsh8VUCKYxB2ij0g5XwfunwJi/SnEmxZJN7PmK66ZkqamapECw2jC4SRIGcua\nkEnudeyRE7w/hOajQPMe89TIVwqNkqjPH1OokbcAUVRxm+z5UkoJZsVCeL1AWD76IuwEbXWKHCGj\nEfsO0jZoSaXc9OLA47tEORjrj0rZ/aoht4MEcjtASexgDLlFlxBYEkNVB3MAIfmT5l57QEyZz19L\nqkJqGEYjFVSuVuy5AjM7WSTE8q98ZyDaF/lrL3nwq0EUVMI+92ghqHs6og/JvUscIQRgfnUBbvbh\n80+pvsXNFdVmrhRzsci5wRekwCAZCWNIKApyLkLFfB1EIYG/Lmfn9tsGXqxUdJx3EKzEjinolL5x\nRdMA8PA6HyIdJMEh5uyqpou6ybDq11iQgoKvSIFBMhIvuelLCQR8YReP5ccgrqXIiFKqWG7O4ZPo\naMshIcsJ1wS+dEnGgIEhEN0ASyWApkYfDioJGzliJSMplZveLkhoWmWvZwcRGZ5QFCGtbA2Hwdlz\nH8QVr89N1/NCUTWOjVGEd5ZqB884KDUjzhkYAhlOA4SAnB0CUxSgIaDU/JVCOoaGgcFh6/xjpODi\nBikwSEpTbHK2D8IoF2ou1ADRLyTlKBbKyv8tahjiKPSIqaLd5j0wzWyRISGDopdrDDq80w2GkffH\nMwzpO+MUQ8jYqCrWa4+QU6eRfOMtQNdhXP5nMP/sovyHPHySEOv/9gJWA0NQjp0AURSg/yzMiecC\nY5s8t2W0IQWG0Qyf0DMZK3ueogBNDf5OgEGX3q2VybpYO+2anDgKDOICXS4Ujn9eqzVJnFIQ8lfB\nb8fXc6J2+noxUkng7EB+Pkh5T6KU+q8dUI98DABQjp/C8KSJYGOyi769+q7NzEcGhy1hAQAUBWRw\nGEwKDI6p01EtqYhuAMMZ4MwAyJmzIIyCUBMYSvt/Lq66rcVFxK/KiKXggoLbe1OqXfx90wzfxGEP\nt1XVbAA/BcD8Ud9HvWgWVO0MQciz5y5wi5Et3MRNQ1GR1MDGNIAlE2Ct51RVupoMDuf+raQzIP0D\nxb/IS2iLb6WEDKKUgsnsj66QGobRimFYGdR42lSTWtUIWUCTiqjarhVnt7g6JdrT5vIMdqI/Cf9e\ntQssPwc3mZSLgil2vkSi+nYEJSSIDrn82Vbqm5oGkKw6Pey+4PY+FDwTUtkkZBjZPkSylUl9uj7D\nyM4vCUCrXnA0LjofyT0HAAaY500AbTs3/6Gq5n2bipUaPWcsTMpA0mlLWGgpXTdBMpIambklvsMX\ngoQGDOtAAlaFwIYAJG6xmBBg/btWhIY4OiVWuwC7UXE7XTTspgonSZ9yKYCR1UaErD2gtLB8NoGz\nvhmVo2OQ5g/GshVCq/Q3KQYV202qDoHWr74S9PyJIIPDMNovLTwWd64tR8s4MEhBwQs1MmuPMnhN\neEJy6Zl9J5UE0mlAVcFax+XztTsZyG4nrhGFryJceEU7eyWVctycEs+cBRnWwZrHWs9LtNUChf4i\n/LVIzsOfZ77zOR2zqOVwcly7EFmFmto1fPed80kQkpPFCbHGhdtnxYU4BvhmEgLcjSGg4PbmNJrV\nQAjMP72o8vckviMFhrhBKXIVxxkDU5RghAZCgIYG978rqCAH57tUsa69EpEd2p7sqdLiECOnRHL8\nJNRjH1ttOH4Cxp9eBGi2Co783yVzYgjFeACA+riLFM/vGFLi3yHAF1OFAGbWPMeYpcaOG9U8I6ea\nPH4vuBBV7nfcbAFYJsxK7dM0IRQ1Ak2SxDekwBAn4ra7sVOskqGTwW/P2RCmOaKSZ38lqvmtjyj9\nZ4SsmgDpPws2obX4l2PQXmeIEQcR9H2uEUlm+2NcI1XCQtPcaw8ZKv+GkHC1R5LAGMWjI4Zkd+6i\nRiEwk4QXxPA6IL9jdwJ3KAtbWAAKNQt2L/cagYn3jVKwVNL9QRQNOf0wg2WSiJJEIi+QRbWg8Aie\nWo3i8RunG4DcGHL4G4l7KLWiWwwjNptJqWGIG9kFjfi920nzXAsAUqnqBzm36cekI4+glCDDPf1r\nbJKjk/8E+PAoiGGCNo8Fxo3xdqC4OZu6tatz+znvf3KRDx9VBQj3q6jTTJdu/TT8hjErHJabicL2\n8SlBzGYPSSCLma7nfQgYgIxuOT16Ie5qW3sVzWKUSzzEqTaFcaVzuUXTQC+a7M+xapmc/ZxUb26S\nFMIYtD0HQNIZ6Fe0WxFUpah2DhCr3Pp1TD+x5xSJQmAQu3VM9mVSYBgN2BfParUC4kCP2yAXIwbE\n0LBK7bTnXHDym0pt4VEATkK9JO6JySRaL6Re+m8k3tpnlbf/n8MYumV+MONbzH0hbkCCChsV00VH\nEb7rBUVB3rE0BhFaWeLRCkmw8OQ5PNa63M7BKUGpg0VVYLXwNrrJJcD/X20bDAO5nTBDPta/lsmF\nIUZIgQ8KamPyrxHU9z7MbWrV9z4EOXna/5OIan77OAuib+VyfWTHIY/WqITYr6JarBNaXsiJyYYj\nHq2QBAshQGNDXrUW1iTrVt1oj8Jw285qVZziOauJqsj9v44WM8MoTLIU1QTG+y9j9Ws/jwg2dgzQ\ndwYAQM8Zm6+xYNC8NkfzwQTEx1kYJgnGnAXj2B2h47Cjj6FmMl6tkQQHl1TDwu50WEkAsCd38qqe\n9DrQ7WrRaicMVc1W6OOva3io8V1aLgsgjXbmKOa3EIQ/g12jEodFJECG5/0lUr/eCRgm9I5PWeWf\nTVo4Fg0GJDzeY6495OYBMRV3FfeWMQbGKAgpkrNGUZBL5c1Y8Rww4lwVI/V/HCGMha9j7O3txZNP\nPokPP/wQbW1tWLx4MZYuXQpKKZ566ils3boVH330Edra2rBs2TLccMMNJY918uRJfOtb38Lvfvc7\nDA0Nob29Hffeey+mTZsGALjvvvvwwgsvQLNJav/0T/+EG2+8sWw7jx8/U/3FjlaKRSlUGohBOQxG\nSRjVDMPYpWUyeYGBMe9Os0FwdhAkkwEAsMZGoDHlz3HtQmy5HCRxdd6rFpMW7soZgITH6xPNcoz5\n4k9AqQlQHYQQMMpAtNRIoaGYv4S9XeKzjSr1d0yYOLF02uzQ9wnbtm3DmjVr8Nhjj2HWrFl48803\n0dPTg87OTmzfvh3r1q3DunXr0NHRgV27duGuu+7ChAkTcM011xQ93ooVK6CqKp555hmMGzcO69ev\nx1e/+lX84he/QGurldjm+uuvx+rVq8O8TImIU6ldTMVcD8ICEPx12IWsIDy6uXbK5Im3AppQxbwe\nTk1nlIKkM7kMjWR4GKyUwGCawFC20mEyASQ9CD1iETXuHyP63dRbeW9VAfRstVFGgCjX0mKCGjNz\nAgJRCBgzQYhtWaukXQ3bRFvDfSP0lq9duxa33XYbrrrqKiSTScyePRsvvfQSpk2bhpdffhkLFizA\n7NmzkUgkMGfOHNx8883YtGlT0WMdOHAAv/3tb3HvvffivPPOw5gxY3DnnXeCEIKf//znIV9ZDaLr\nVohlMUegass6ixO+G7+JMH0swsQ0Y5WAxTWaZmkVUsngdmDVlnKuxNAwCP9vOOMsNbhYc0Ks/ig6\n7InHCXPxEYWXIEkoVhryBKkudbZ4P91uCko5Rxa8LToruGwXJ6jF3EnfroG5IVSB4dixYzh48CCa\nmprQ1dWFjo4OLFy4EC+++CIAK6shtd3M1tZW7Nmzp+jxdu/ejUQigU9+8pO59zRNw+WXX47du3fn\n3tu/fz9uueUWdHZ24rrrrsMTTzwBsx681quBe/Hz3Ayi0CDumKqZlLgKMA4CAGPAcBoYSltJrPw4\nnlMMw4pOYbCSsZT5rUEpTqUz6EtnQJ2cww+/j7jgZcJUFLDGhuz9ZWBNjWWOb3tdqV/z/itG2hRr\nY3YhZNm/UExQotCSK0sdIH5o/cSsmj4JnYqWFFxNFCheHGHF51wuRwt3/PVyrytFg+hGfn5yGskR\nAaGaJI4cOQIA2LJlCx555BFMmTIFW7duxcqVK3H++edj7ty5ePzxxzF//nx0dnbiwIED2Lp1K/r6\n+sBsKZMBy3+hubl5xPstLS34+OOPAQAXXHABBgYGsGLFCkyZMgW//vWvsXLlShBC8PWvfz2cC48j\nhiF4PhemHS7IX1CDC5CRbX6Bf1NGz1+vmU256iVzWq7iIwHArHtX6R5R5mhhZ4zhRFrPfXQincHE\nBgf2eB5qWMOqTgDF/QWc0NQA1uSgkFoikfXFIGBeFi17anEhx0fOFYyQAqf8nPDNF1y/nTJFokgw\n5JZqoo9KpHRXNJ98VkqRS3rH8j4Obu91ub4t5mwBAN2MXXQEJ9RW8UG1ePFiTJ06FQBw66234oUX\nXkBvby8efPBBDA0NYdWqVTh9+jQ6OzvR1dWF1atXj3RkqQD//p133lnw/rXXXoubbroJzzzzzOgV\nGHg9ej0ryRq6VblSdAwyzXylxrhPQgIDacuRGwxIaUBDMZmAa1W8IDpIgVivKw1uxXa+En3ZZAwm\nNaBlK/qZbsqA16BgNwK35bHd0pAES2T7tNcJuVS7ir1vX+D80j5wXx/R54PS6hcZnQvVgkNinMZ+\nlH2cPzuvZoNqypTHiFAFhra2NgDIOSNyLrzwQhw9ehSapmH58uVYvnx57rPNmzdj0qRJRY83fvx4\nnD59eoT2oa+vDxMmTCjZDn6+UQvv/MlEXiAoluEwTiYFBximJSwo2RQIuikIDJoKpHXr3wT+JK8C\nnN0bsbxvCc9wSk0wcxiEpmEwAk1thBZVGfAoCXoydatVSGcswVpVy0ZfEEJyG6JQCsZxTYdhWNEr\njFkDIOnx/nGNo6gR8bKTLoV43FpbMP0S+EpdN8+3wJ9BMp7aBSBkH4a2tja0tLSM8Ek4fPgwJk+e\njH379uHVV18t+Oy1117D7Nmzix5v5syZ0HUd7777bu69TCaDPXv2oLOzE6Zp4jvf+Q7eeuutgt8d\nOnQIF110kU9XVYPwyYY7CRUbBDUmLADZ8Sj6n4kf8gk/lbDiy71eF9e6MLgLweKVOktMGjQbGja+\nIYUGRUUSJsY7CF1kjGFw6CiG0yddXITEEboOMjQMQqkVtjmULvt1QkihsFAuDNMPePIqP3Ks2B03\n/XTAYyyfz4H7AtQSYnr5oDQvCc2al5oa8poixoD+syCn+vPRPRETqsCgqiq6u7uxadMmvPHGG8hk\nMti8eTP27t2Lrq4uHDp0CPfccw927twJ0zTx9NNPY8eOHeju7s4dY8mSJdi4cSMA4NJLL8VnP/tZ\nrFmzBkePHsXZs2fx3e9+F6lUCgsWLICqqnj//fexatUqHDp0CLqu45VXXsHWrVsLjjnq4BKtqlo7\nb3u9hSDMEJQCw8NWx9d178cxTcsfQddHOB8pJKtRYABhlmxQAJ9Yq5m4CbFs4QnN5+pxVpsUQnBO\nUsO4ZKLiTpUxho9P/h4nT+/Fx6d249TpAz62JyDC9O6vFt3my+PFUZovMn4K39wXggsJuWikKo6v\nqgCjeXOHn34xjHkKXogVolNkUJso+3HPDIBkrHmOnB20/G8iJnTdx7Jly2AYBu6//36cOHECF198\nMdavX4/29na0t7fjvffew4oVK9Df34/LLrsMGzZswCWXXJL7/QcffICTJ/O7qUcffRQPPfQQFixY\nAF3XMXPmTPzHf/wHxo4dCwD49re/jUcffRTd3d04efIkJk2ahJ6eHixatCjsS48XpTp+UANCjEzI\n6PlJ1Clc/aobeXOC6JyZJaVZf7WGqiZhGEMAGAhRoKqVtQuGMYh0pg+KYn13aPgIWpsvC7ilVWAX\nEuLupJfQrEma259HSKAxIKEVFlbyAhfguPYsmXUg9VPA8RjxOJohppA4TFEsATbifGmRZHqsFWKf\n6bGWsssNDlmdn4eApVKWD4XTKpK6DsvJkFo7qYSWtfeVmcT5/QkjERQXaLidM4Ta9ZTq+OPR34Ao\nloSkEBXntf1F4Of1jJfsn244MwByZgBQCFjLOZaKt1p03RJSNa18X4sLXuq3FDjyIpg8G2Ko9ijP\npAjTLPTnKDU3DQ6BDAxnnaaZ1aeDSpomUC7TY8xXGUlJxFjsWvAz0NT8pKFkTSGVVLyiFzgXawny\n/hflVLB8UIrHCBJ+LfxZhJDnQ1ESaGlph6IkoakNOLfl8sDPWRX2BcxPYcE0oZw+Yw0HxkD6+kd+\nhy+OYiGtSiQSQFNj7QkLQLwSAYk5GEYz4iZGfF2Mpkawc8aANaRywoKuW77bUT3aGlTeSmqSZDKr\nYVDyJgUvgk4iAVCzrAPhCMTsckFhH8EhjegxjedhTON5/hyMa3OCdHjltnG/j00Lax4QSkdGzhab\nrOOumXOCWNTJbWilPbdELWw+6h3xWaSSQFZRNpTOK4MMw/KPDPtx1cFoGaWIgzxOO4lycGdBwFmE\ngahB0VRLo6AQy5xRaaK3e6sHPbJy0RPZCIpa20mJmpig01gH8SwSCbCGpGWyMk3QsWP8OS4vvJVx\nkEo6CniiNd420aHY6X0Wd/8OzRjko2MgHx2L5z2JM/aMofb7bRiFfwJUsBzRkBSndqSGoZapxWyM\nbndAPBY8kXB3nWEnSlEUS4tSy+mZxUgALkBEJfjwaBjAEjId9Bs28VwwXlWzWJ4NsVCU09C4YSGU\n0khb27q4ITrGMQQuICfe+j9QTpwCANCjx6HP9GgKqzRWotZ6BOUjVm5M8efH/y0ihI0Tn5vkFKlh\nqBdqKVzNLV7V42INgLCoZWGBCwl80uJ586PoUzyVNwMw7MJom0yWTsrFIwl4SHE5+HUbYklmGr8d\ntdjfGLOKQwXZBw0TysencmOLfHzKW16FnG9SiftZqfZC0NjTeUcyrxZed2MyPxVWk0qmGqSGoR4Q\nbc+lVF0Sf6llTUIpNMG3hLFcQScA4dv7KbU0BYC1nQpT21GwsxTyEsTRwZgLQWGNe1UBSyZAuCYq\nmXD/XPhcJb6O23wV1fhWlbyWz3ZfFaVsstFQkAJDvcA7t99Z2pyQs92HlPo1SlWlPeqixrJhVkTT\n8mp7MYQr7D6V0Ky4c8CfTIalEJ9nsb7bkLL8AkqZOeJAmIIMIdCnTYV26H2AMRiXXuT+3E6+H/Q8\nJoY2Futboo8Yfx0GUWhFXRDTESBxjSgRh72ABVVkpxg8HwM34oU9uIpFQ9STwADkhSAxPt/rNboR\n7hgDBgZBTAqmEKCxAVUVinKCKPyJbRV3wamI9L8xhY1vgT6+xfsB7Cr+cjUWgsA0s7t4YpmZgOJC\ng5j1UgJACgz1geh569cO355bPg6IamogfvbkesLej7z0KXHRdTLxDqdz2e0IA1hGt3IghIVdSyYW\nZpP4S5SLMK+hA+SFglIaLLft5OGtQPVp6GOIFBjqhSAHoBi+WUz9ydWHpT6vJ3jp71qtvOcGP6/N\nqYahwInPv9OXRFR9i3233vuxCyg1spU4GQjRoNR6n1cUgBqwNAwuCsg5QTfy/cYwQsn4GiZSYJA4\ng6un+U5RnDSCnly5TV1VARbxYh1EYa4gyVUlhT/PyWuomRPTTSoJZAaRkxTGNAZv8Qk7/LbGYIyB\nMQarEBoBg4nQg+v43FMsZ4HJAE1xt+jzvBOMWRpLvwSGEebKMt+pUWFUCgy1gJiHPayF0u7FHJVT\npWFY3vqEAFSPXmKPwqm0GuxmgWomR+4g6DQax+1irKpgzWMBk4IpChgjgAkwYmUTL0C0Q2sOEw6V\na2cY1KhgUqlqaqBwnyVGAYXm/Vl4ITpCgEy2KJObvh2EEy0hKCiwZU9dz6PZWPazWkvuBpmHoTao\npOoPYwGLyqeBCltMhngs1mJ89mjCi2OtW8fUbFZPxggI8nNwQRg8Y9ZiwfuDlzwAYSPWNgmhzohr\nxEgnSnP1NriwYGkaKAhCXOR41lQgu2EQxr5p64tmTPLPaFrWIZuMdNalFJbDNikMWa4hpIahlskl\n2hFU9EEsYmISH0WxvMbDgiCbqpgCGoHssi4R+4MffSOsqBAC5z4MIU28x4ZMZCjD+U0qVLf3QLxv\ncV4oGLN29UJWTCXIKJVKkBL/Vgmgc80jjU/IKykiKBT9XvBNCYKY3GVJWbgK2D5JcQmcCa+DmMxN\nM2vrU/Kvw1KnEQIMDYEQBaAETFWjN0vECcPI7660ItUAube/H74XQVabtFFg+bFb4Qix+iMTrjtg\n9p7S8eGgCQLgg7MmZrclobgZa34LbkEhRrNEbX7jORK4RkZciPm/KbOEhVpQ79tNdHHuByWQAkPY\neHF6KTUxizZlru4KYhKPqBIjAMAwQZLJgtdSYMjC1ds81NQoIcj5aT4Jyf5OCEDKrQGpRMmMeEFw\nZMjMaRX6MwxndIrmpEtHuzj7MPD+oapZ3wDb+1FRzqQVpebDCzFPyuQEV61njOGHP/wh/vVf/7Xg\n/eXLl+OHP/yhrw2rS7gd06/8/DknG5at5BhQZxQrMcLnMKSK57ZV5YxywHHzjxh5IIkOtYhGJSBS\nan7hJIShURX6oZM6Lny3HPfY/KwPSf7ftkW5Ur/POfbJ8VGPuJp9n3jiCaxbtw7jx48veH/mzJlY\nv349nnzySV8bV1fYIw38wk1ZWq8oipUzPpmwivuEOeElEmCJBBgImKZZoXdRUZAjwMOE6Pckyhch\nXhQpBNX8aGV6awJjEgSNKjDj3ASSXIAQ/YjsacNrFUWxtHhFnfZQ+jr5HBe1KUMSGIQx50927ty5\nuOeeezBv3rwRn/3nf/4nHnnkEfzyl7/0tYFRcvz4Gf8OVmyA+bHIB1WCVTISewU9N/dbTPbkd2hs\nPaanrhWK7aZrwZ7uhUr9315UKs59kkfWuDFrGIblfK2QkU6Wbq612jmbtz0gR/eJE8eV/MxVa48c\nOYLLLy9e+/zyyy/HkSNH3LVsNCGmbxZf+3HcOrCN+UpQJgPRHOHmfovFjfhxfIIcOwH1nQMg/T4K\ntxLnFMt66pV62pXH+VrSuuUobFLr304wTavkOrLalYztd26uVwzL5nMDD2XV9fJaKsMQwnPDN/24\nWmUuuugi/Pd//3fRz7Zt24YLLrjAl0bVLTzDmFzcw8HvweRVOAtIRase+gANL/0Kqd/tRsP//i+Q\nk32+n0NSAXGXV0lzVM7/xTAsp1XDiK9ZQ0wBX+w6nd6HKGEMoEIeDGo6G5vUds1+jmcxNwcPYS9H\nTigN35fKlZtpd3c3Vq1ahd/+9reYNm0axowZg/7+fuzatQuvv/46HnzwwaDaWX/Y8yf4jT1BTJw8\nisVJ0+9rj+PORixmBPh2zer/+wCEWmlzSToN7eD70M+toorgaEF0UPRDO1dtFEouoU/2dRz7MCdo\nQSDoSBL7s3L67DTVEugIsv5CWuFGwM3zF5+vvYy2U/j5QhbMXK0iX/rSl6CqKjZs2JDzVVAUBVOn\nTsUjjzyCBQsWODpOb28vnnzySXz44Ydoa2vD4sWLsXTpUlBK8dRTT2Hr1q346KOP0NbWhmXLluGG\nG24oeayTJ0/iW9/6Fn73u99haGgI7e3tuPfeezFt2rTcdzZu3IhnnnkGH330Ec4//3zcdNNNWLp0\nqZtL9xfR7skdiCo9eLfFnexSalzKtOZCAUkwQkNcHa4CuPesqTHfJxhAx43x/Rx1idsqmpJwCOu5\nJBOAnp0fkw6XQEKAhqQlNIhpnb0IivbrKnAUJeV9YDStsLZOyH4irred119/Pa6//nqk02n09/ej\ntbUVmovd67Zt27BmzRo89thjmDVrFt5880309PSgs7MT27dvx7p167Bu3Tp0dHRg165duOuuuzBh\nwgRcc801RY+3YsUKqKqKZ555BuPGjcP69evx1a9+Fb/4xS/Q2tqK559/Ht/73vfw+OOPo6OjA2+/\n/TaWLVuG5uZmLFq0yO3l+4PbBY0LFUNpkKFhsIQGNI8r31nsC2dcFlF7euEg2lVpEIn1EGo4xbP+\n6Q5l8/EAACAASURBVBkghgFy+gzoeRNgTr0k6iZJylGqn+WqJyLe6nyn+FFgKcgxqShAysM9JkWc\nHf1C05zftwj7h6soCc7Zs2dx4MABHD9+HH/5l3+JpqYmmKYJ1YF38Pz587Fo0SJ87WtfG/HZl7/8\nZXzqU58qMG089thj2Lt3L9avXz/i+wcOHMDChQvx/PPPo729HQBgGAauvvpq3H777ViyZAm+9KUv\n4corr8QDDzyQ+93DDz+MHTt24Pnnny/bVl+jJES4SpQvWpUkxayTDTndbyXpIQQsmbCEhnK/MSly\naSC5Ci0InJoYRFWwKDSEPQCqiXaQRIMYyletZ7jfJonRhFi7g/tkieTmHVjqezemUFHDIMdlZPgW\nJWGaJtasWYPPfOYz+MpXvoIVK1bgxIkT+OMf/4gFCxbg6NGjZX9/7NgxHDx4EE1NTejq6kJHRwcW\nLlyIF198EQBACAG1Ofy0trZiz549RY+3e/duJBIJfPKTn8y9p2kaLr/8cuzevRuZTAb79u3DjBkz\nCn43Y8YM7N+/H0NDQ24u3z/4QONx9E4mP8PIZ/QDQCo5xiiKZXfTNCum2kdhgTEGI9OPzNDHMNJn\nbJ67JdolTtCiJB1ViWqJMxizPMIzun9Fk7xEsYjzQrXtUBRrXGja6FiU/EoUB2THOqw/Pu7t58qp\n2OHuOfuZxlwSCK6eytq1a/Hss8/ijjvuwNNPP42GhgYAwLhx4zBx4sQRGSDt8LDLLVu2oKenB7/5\nzW9w4403YuXKldi5cyfmzp2Lbdu24Y033kAmk8E777yDrVu3oq+vD8UUISdPnkRzczPs5VdbWlpw\n4sQJ9PX1wTRNNDc3F3ze2toKSin6+iL0KncTQ6soQEOqQJ3PeAKjclnVAlK3m/oZGPoQmGHATJ+G\naQwXVpIrht3RJ8pokUre3pI8GUEY1IssEG7xaiaLMj2531CaL88d9HWIVTL9EBoK2kvKH5PA/fwj\nNT6xxpVB5vnnn0dPT88I58axY8fi7rvvxu23317293zRX7x4MaZOnQoAuPXWW/HCCy+gt7cXDz74\nIIaGhrBq1SqcPn0anZ2d6OrqwurVq0cIBZVw8v1I67y7RdPAJrQCwxlLc5BMAGcHc5oG1tQQWo0F\nSnXLoZsAIBoYzQCswXqj1D0N8V6fygxh2DQwPtmIpKrlJ2ggb5qppWcfKVkP/txLGk1iIi+e7XFF\nXHSDvJ+io7T9vF5RFMvkwJ9BkMXOJLHDlcBw4sQJ/Pmf/3nRzyZOnIizZ8+W/X1bWxsAa4cvcuGF\nF+Lo0aPQNA3Lly/H8uXLc59t3rwZkyZNKnq88ePH4/Tp02CMFSz+fX19mDBhAlpaWqBp2ghNwqlT\np6Bp2oh2xB5VBcY0Wv/O6CCiJ3E6E5rAoKgNMM1+gBEwQqEkx1aOvxaL7wS44Hw42I/j6UEohODY\n8AA+NW4CEtz7GLDUqLJ4lXOIUmhb9juixSmqmtem1fJCJEYJBX0dQQhWmgaQrPBdKheDpG5x9XQn\nT56MnTt3Fv3srbfewnnnnVf2921tbWhpaRnhk3D48GFMnjwZ+/btw6uvvlrw2WuvvYbZs2cXPd7M\nmTOh6zrefffd3HuZTAZ79uxBZ2cnkslkzp9BZNeuXZg2bRpSqVTZ9sYahSDn0BgmpglNaYCWaoGa\nbEQyNR6KmnBmDw5B3XjaSBeUHT6dGQr3NjkpRFRLJBPZstmKVcej2gVIzHLnFtO0drdxTm5UCdO0\nzHeGaWX1C1pTIiZT8ktQr4UiWpJAcDV7//Vf/zUefPBBrF27Fm+++SYAK1Jh8+bNeOihh/A3f/M3\nZX+vqiq6u7uxadOmnJ/C5s2bsXfvXnR1deHQoUO45557sHPnTpimiaeffho7duxAd3d37hhLlizB\nxo0bAQCXXnopPvvZz2LNmjU4evQozp49i+9+97tIpVI5s8nSpUvR29uL7du3I5PJ4PXXX8dzzz1X\ncMyaRNPAtATAqLUeNjYEf06etpRSqEhASzVDSaRitatICjWRTTA0JVOFCXGCbqtd3VwPcAfBKBeI\nXHIjYv2/GsdHvss3TffPiDGg/yzQ15+PFnCDSS3hS1VR1oTnF1yTEaMxKqldXIVV6rqOnp4ePPfc\nc2CM5XwSVFXFDTfcgJ6eHigVOiZjLOc8eeLECVx88cX45je/iauvvhoA8Pjjj+MnP/kJ+vv7cdll\nl+Gb3/wmZs2alfv95z73OSxcuBB33303AKC/vx8PPfQQ/uu//gu6rmPmzJl44IEH8Kd/+qe53/z0\npz/Fhg0bcOTIEUyaNAlf+9rXcOONN1a83sDCKmsRxgp3RIxZlStjhkFNvD/YD52ZmJBswvhUk/WB\nWzWwmKrV6W+Kef8HkclyNO7sKM1m2hPS4no1LYnCBs/a5xBy4hSIblihzZSC/ckEd884k4n9GKp5\ndMPS4mhFwj7tBJl1tkYpF1bpOg8DpRRHjhzBjh07oCgKmpubMW3atBElr+sBKTAI2AUGoH59AcSd\nI4Olkne6SIslgP20U5smMDQMwhiYqloapdEmOBjZhYCguigbwyhctF2o18nRj/MuoJSCtjZbEUxO\nER1w7dfgNptrteRyKhD3ORPiCg//5YWdUsnyQkO5nCyiaXEUmWDKCQyOe8j27duxfv167Ny5E7pu\nVeoaO3Ysrr76akyYMKEuBQaJACHWhCJGG9QK1ezKee54p7/nXuJ+71YyuuXYS4glNGR0azIshxhy\nWw8ZBP3qc/ZcIG76hqZaO1hCLFNg0qXQXMo8INaW4c7MQS9Qpll4DtOs/dLc4lhVFEvALHVJ5fbK\njGWjQbKvTbO25ryAcKRh2LBhA7773e/i0ksvxV/91V/h/PPPh2EYOHz4MF599VWcOHEC//AP/4Cv\nfOUrYbQ5NKSGocZhDBjK5oggBGhyuCvntm2efMaNhiEohoatqJgsTNMqCwx21fso2iVVxGuRI8aA\nMwPW78c0+ZcquJgvRdACnt0Hw0/HSKfn9rtP6kZeg8SYJdCVuyYxAgjI/7uY4/IoERiqMkns3r0b\nXV1duPfee4sWbDJNE//2b/+GDRs24Cc/+UnJsMtaZNQJDGLa5nKD2I9c8WGQyYAY+UWT8QRYTgi6\nmqhbvJgkpMBQmbjYsKMQGMQ0z0B4jq08W6TVCP9Nm9x0pTrwYQBKaxC5CZaPHXtlyTodS1UJDPfe\ney9M08Sjjz5a9iQrV65EOp3G97//fW+tjCE1ITD41YHtFTTLLS61MmiqERjiihvzCH+m3EQSB8En\nTvAF074oeD0WUP0Y5FTTDtFHwkl7wnakzdicpxMRROCIgmK5DVKxlPacOM99VVBVLYmdO3eWLS/N\nueWWW/D73//eXcskFjxffzrjLlTLz7SydiGgllPvchIJK509ZdblVFLh1wJuJimegnu01Exwi7hQ\nct8BL4i5N6oJpeVCXTXPyrCl8nZC2Auf/XRRLLzicyr3zMTnUacCghsqGmWOHz+OT3ziExUPNGXK\nFJw6dcqPNo0+xBz9JrUyqTlRpQW1sPMdaa1oEkpBCNDUWHoHFRd1tCR8+OIuJAH1jN/pl/1qC1j4\n2gMnRO08zetqeDE38jk3bvc0JCo+LV3XHWVEVFW1aIEoiROquG/VdmBxweQLKFdllitqVUtUUjcC\n9eEhLnEGXyxUtdDPw8/nH1WECteUMGRzTMRwceMRV07QdetaFBe/qYTo6Cim13dK3O5niFR8AoSQ\n2irSVIsoipWUBvAu9fpBXBz83OJlcg6iME8AUEorJkOTVIEfjqCicC32pyj6ViIBpNPWAqtqhdks\na83plZtneWizH0K9mOeiHmqThExFgYExhoULF1YUGqR2oQq4dzKl8UyGFOdJRlQv8tdOsF9TDK+R\nMisOnDIKhXic1LyGD44W/FAvx+3e8vmE5xLQsotsrecS8GON4fOsH5ujUTi2KvaeRYsWhdGO0Y2o\nIvWiIquGcpOlm4k0LqGWbiYVfr9jqFmhVEgaA4+ahmpVr/UKvw9B7i6LaR3Cgp+b0myRuojg2g3u\nfOsWRRkZ9ukHfNzzc3hBzHpLaW0LYi5wnRp6NBFaWKWYcY1PYlEvvG4QvcOjCN8zzUJfjDpYGBlj\nYIJvC4EH02CppDSScIiDEF0sl4AXeG4Dp74EppnLiJkLnfQiNPDQV69CRxCI4bicOhIYfEkNLQmQ\nGlCPl8SrSaASbhInqWo8JudSmCbU9z4EGRoGa2qA+YkLKl4TyWaZZIz540c0ij27I8Ov+13Ns0sk\nqt9N87LihGRLcxuVF0hxTuBmAC8LPtcw8E1BkAuz0zwYhKBA/TeK9ty1vxWrB+wFaIYzVk4Ge3ww\nz9eQ0ePTSStlhfQCL9DDHZ2cxLYH0Q6fUP54HGRoGCAEZHAYyrGPHf2OEAJFUbwLC2LkSy1rXUwT\nGBgEzg5YO2a/cdPPwkbP5mcpNh84pVqtm11gcTL3iCYZr/3P7sxMA5zz7InrKt1rVbieOtIuVKKG\nZ5E6g5shdBO5+OmMbXLkggJjQDqAidMrbtXeuRj4EhOAPaFOGMIRNQtD7Hw9tu16TJcTP3/mXu6D\nnyaaqITUbEpsAliCl58LO6XWoszLZ8dJaDDNbEhhdm4wAuqflVAUgAlVWJ30J02znC0V4t0cYd/J\nB70fEMdoJRQle40RZKmMkNEjGtUMQiYZ+wRdEKpFR0r+UeFmQRIFhVLOQnw3QZCPwQ4SIwOY2TK/\nJgGSDb4enradC6X/rHWOhAY6MfrKrowxnB44DN04C1VJonnMxVDVEhE6fMclmohK9Ds90w/dGISi\nJNHQcK4/jeW289xrHx04C1TnsBbpOGlj4jDGFSVv2lBc+EFUu/MmxNrJ86qRQe/k+b2Owz2PKVJg\niBOEWBMjT7pil8oLdvI15hjJsWePLDb5V3rtN6Zh3U8gK4jR/Gs/aEjB+NSlllo5lXR2PaJ3eADO\nXkPpj2EYA1CICsZMnB36CM1jLyr+5XI5BgR0fQDD6ZNQiArDTGMY8EdoSCay9QcApqj+LhzcE9/N\n7jIsuDc/9x/wqzKmF4ppqsLwG1LV6vs/1x6BlT6eohQW34uT0BgjpMAQN1KpwuIxIslEPj98sg4e\nXTn1ZhShpRnDUk+bxFrY/VyoFcWqMOkESmGLqfT9fjBGQUoJRZX8HkQbr/Ad0xyGQqx7RogCSjP+\nNLYhBaaplqbB70WTe99zTUPc7NGJRDyzNRqGJQAzWPevMcZF3QwzO5yy5sBSGjIpJFRE3qE4UkoK\nJsQSGpIJ9zkS4uIkKWabi0vmOS1paRmMDJBMWtoFu/9ImBSriuezU2djwwQABCbVwRhFY2qC9QF3\nOOXe8KUEB96nBL+PRGIMGLNeU2YioTX51l5omvt+7xRVzS7MMRMWOGGMEbdzREa3oncUAkJNd0Xz\nQoeV+LfELTEdIRLf4LXnCco7wPlRWtcpbo9v39H6PYEqKpBsBJjowBShIKMoeYc3An/NI/wURMW5\n50wFpRkoSiKvbWCCDw0Eey4XYLmQUCSMVlUb0Nh0Hgx9CIqaQiLho8AQBHEOxQ0TKjg0Ok6tjsIh\nYo+iYFl/hzigqllH4xrMcRMzpMBQz1Bq7RRziy0DkiUmAxKsCrwq7EWigtgJqiqgmvmFOhVhim6u\nGg/Y+YoQAlUto0pm9lUBIzUdtvapagNUln0+cetHIuJuejQ7udl9ipxqGRqSYENp69+aEAVBTcBI\n57+XaPTv3nLHW671ctq3xIRVo/U5+4QUGOoZQrK7QcGhrxYJa0JPJeO164yiDdz5izHLQ73YpFwu\nta6omubmirgKDRILexizE1QVGFtEg2Tqhccwdcvk5wfi2MylvnbYt4IaS6ZpmS95xFfKp2uNKVJg\nqGd4WBL3oSs3uMSQorhN8GGmN46DoBAlovmhHE76SJzvZZS1HuIE1xiJVRxFXJsqeSw0snNJnd9b\nnkiMmxENM1/sqw6JZGXo7e3FvHnzMH36dFx77bV46qmnAAC6ruNf/uVf8PnPfx5XXHEFPv/5z+PR\nRx9FJlPa2/p//ud/8Pd///f4zGc+g46ODnzjG9/A8ePHc5/fd999aG9vx/Tp0wv+nn322aAvMx6o\nan6nyBcC0xyZ2Y7b9rz4FziBUivCw4vzJXeOdLqYSaKDZ5cE4q/qj3F20FDh48pu3+eRI27uk5ZE\nzvdFUYFSuT28IM5NcQx9DCvJXISErmHYtm0b1qxZg8ceewyzZs3Cm2++iZ6eHnR2duKVV17B1q1b\nsWHDBlx22WU4cOAAbrvtNiQSCSxfvnzEsc6cOYPu7m7MmTMHv/jFLwAAq1evxp133oktW7bkvnf9\n9ddj9erVoV1jrFBVy3cByJsoONXamO2pW0sdK50GOX0GhAFMU8HObXE/UVdqp5hcSPx+3CaVesc+\nqdf6gswF60oZ/cQoAzfXHXWJZLvDY7XPixAg4W/is4Jjx23DkEhYqfy5Q2WUuTJCIPReunbtWtx2\n22246qqrkEwmMXv2bLz00kuYNm0a3nnnHcyaNQvt7e1QVRXt7e349Kc/jbfffrvosX7/+9/j+PHj\nuPfee9Hc3Izm5masWrUK7777bsnfjEooBQaHrb9i9Sm8HhNwNMmQgWEQxQoVJZQBQ8PezlmpPQyW\nk6dpyyY5msiFRUZ43dwhLQ7CQjVptXUDGEqD6IY1dsodQ7zfTu+9l9/4SaW5wK4tipI4hYaLqCrQ\n1AA0NTrPs1LDhCowHDt2DAcPHkRTUxO6urrQ0dGBhQsX4sUXXwQAXHfddfjtb3+Lt99+G6ZpYt++\nffjd736HefPmlT2uWKG7sbERqVQKe/bsyb23f/9+3HLLLejs7MR1112HJ554AmZQdQPiBmMgZwZA\nDANE1wsX62p2FKV+J5a6zn23sD2+LyQ8G54oxMRxcgkafh8YCu9HveH02VbbBwwDJGuDJwT+5xrg\n7TNjnMfAq6nST3i9D92I532qB02aQ0LVnxw5cgQAsGXLFjzyyCOYMmUKtm7dipUrV+L888/HjTfe\niD/84Q+46aabcr/p7u7Gl7/85aLHu/LKKzFx4kSsWbMG//iP/4hkMoknn3wShmHg1KlTAIALLrgA\nAwMDWLFiBaZMmYJf//rXWLlyJQgh+PrXvx78RUeNrWANYQDjnbuaSYAvymLstpiXXzB3sHFjgdP9\ngMnAUkl/JfGcSpcIRZ0YoCTi6cBZjmIJm9z+Po4pjv2EVzGtUNMCgA+CY96Bj9EKfcmLYy4h+Twp\ngLOy0X4ipkPm7eEJyzQ1PguhGOnFw8RraVzXEaHeda4JWLx4MaZOnYqmpibceuutmDZtGnp7e/Hv\n//7v+PnPf46f/vSnePvtt/HMM8/gl7/8JX7wgx8UPd7YsWOxfv16fPzxx5g7dy6+9KUvYfz48fiz\nP/szaNmBd+edd+L73/8+Lr30UiSTSVx77bW46aab8Mwzz4R23ZEieuwyBsYdIP0YcNyRstixxIlG\nU8HGt4K1nQs0j3N+fMMABoesv0oaIUWxrlVVrGyN/L0gJjzTBDKZ4KpbeqVggQxOw0KN7F/YCgx+\nQtN0vtusJktmQxKMEOtOJoVcA4aR/7P7zNj/Xalt4u+j0IopwnyQzlbDNSxTTFFtYRyIgxAzSglV\nw9DW1gYAaG1tLXj/wgsvxNGjR/GrX/0KS5cuxRVXXAEAmDFjBv7u7/4OTzzxBO68886ix2xvb8eP\nf/zjgvfWrVuHSZMmlWwHP9+ogBCwcWMsxxyFAA0h5Xyv1vTAS3jzsKx0xrIT2rHvktSAd0amad1L\nQqxFK5WMT0phvlAxZu3I/C5rTQioUKeJUYCFvQlNZ6xdME9sFWR5YUJGasOK1fnggoTb+00IYlNE\njmdnzMmbZcrPh42qCqW+Y6L1GKWEqmFoa2tDS0tLgX8BABw+fBiTJ0+GaZqgNonWMIwCHwWRTCaD\nn//85wWL/9tvv42+vj58+tOfhmma+M53voO33nqr4HeHDh3CRReVqMxXC3CbnuEwTFFVgTFZp5xq\nBxtPDVzMsc7LLsvxect8xjUJYdSmMIS0yETxV8sg7oa9Xkc5rY8XRCdK27WG7ipCKciJPihnz4L0\nnY7eudMPNBVW52bRRgBw4SX3OiaCDJAvr52Mcb2PUUKoAoOqquju7samTZvwxhtvIJPJYPPmzdi7\ndy+6urowd+5c/PSnP8W7776bc3rcsmUL5s+fnzvGkiVLsHHjRgBAMpnEE088gdWrV2NwcBB//OMf\n0dPTg0WLFuG8886Dqqp4//33sWrVKhw6dAi6rudCN7u7u8O8dP/IFfwh1jxTSi1rGKDDadB0eoQQ\n5hkuqGTnt6KTtV+7e0KsyZSnt05UmEzDmtwUYZWsNR8JL4iaIsYAwvKXH7YpeWgYJKEBqgaiacBg\nOvz7rygAGBjN1iYo1u+4Kt/JuOOLYSIRfV9KJfLCJk+NHnWbJLGCsFLb94BgjGHt2rV49tlnceLE\nCVx88cX45je/iauvvhqDg4NYu3YtfvnLX+Lo0aM455xzcP311+POO+9EY6Oljv7c5z6HhQsX4u67\n7wYAHDx4EP/rf/3/9t49Soryzv9/P1V9mSszaCAKgvGYHRwYRkCui1EiCAiLBhGOZL0wiqIe42KC\nigc1JGajRpGVlSQIUXHRABL06DEkXo7JRlF2vmoY9CdgJEE4AQYZBubSPd1V9fn9UV3d1TU907fq\n6uqez+swh5m+VNXz1FPP83k+1x/js88+Q0lJCWbPno17770Xvogdu62tDatWrcK7776LlpYWDBo0\nCLfddhvmzp2b9FqPH2/LXUdkiuEJH4X0ycaMqoKMYiuALlvIHkjZ5lwwO2kZNldPjnf1dsapm/M0\nZLObC4Vijle+4k4FG6dVIH0XTBD5qS3UGYDUEYjeR620JD2fGBtQ1RBCoZOApkLylMDvP6P7h6x1\nKsz09QU4mnY83rcqNq8I1iLkmQEDen6mHBcYCglXCgxAJB2pkU0twQOmKNBULbaOZyswmIeIWWAA\nFc7DnWi319cn71QwVwrNd3gdAJxqgwgrIFkGqiv1azIWIQeuLxj8OlqThUiDz1cF2WPxrTE/L+a+\nM8h3H+aLjk5IpzsAELQSP9C/Sn/dbFo1hAk7zTOG6UqwMJIKvQkM3HuFiMcTeQB6Lg4kaQQyik3J\ncu/CQrJ88cakbDxwqqoLKnZuMc1lk/NlyzUnh+mrk7oVt2XXq6qMd2exLsiOhtyJxK415ros+fYD\nSCPBWq4R7QF93lA0SO0duoaoxB8vYNntGGPUdwCigh4LDZnDPVeIJJvEhQB8XggiEBFEMmHBmj8+\n0efNeRbsfuCI9Ex6Bj5PdzNLtpirMBp/W1EUU7y3wzHxTEHg9VYi1HUSAEGS/PBYtQtAfCllQ0OT\nj8XaPN4Nf5u8Cg0EhFX9fzJlZJXlyKJOAIS9xZuseSZYoZ4VPCMWM0JA2DlB5GrnpijxE5mi2i8w\nAMmrdSJSa8OY1EpdtrtmumMWBHNhkrDsfmXZj5LSbwIgCJHCuYxryofmyro45lnjQVWVwNcturxQ\nUQ6AIiGyckxISKIJocgmCEBqJlZJAjRDw0B5cLwpLlhg6OuYNQf58vq3qm/zMakJoYfXh5RY7oeQ\nApTkeVdmVdcy3XF4zOpCeBr3IlVzgKLC8//9DUJRoXx7KKhfRcbXGD2vefzk28xW4gcN/EZMwNM0\nPdEa0N0RskfIZH3SkgsNxjG1iJcubwCyggWGYkHTIjkCkH4yG7MKNR8YPhlGjgN/L5EHudwlybKe\nOzsak+4y9WWytjvo/NcnMDt8OtCfvg//Cul4CyAEpKPH0XX55OyqH5qTmrlF2PR5dY2ipultS+O6\nMvbPtzpRdnXpmwEh9Pw0bumbAoBnFbdgtjemC1EkcgL6Ghd2YYGWZPh8sYpvPcW2K4ouVOSqAI0Q\n+nUY55fzbfO10Nu1mBc38+9M5ph9DxywfYvT7dHzic4gRFt79gd1U+VQA48n9pz1ZKoxEoWZwnoF\nRfJfRMZ2RuZWRYEIhiAix0NHIMNGJMAoIlbEfhKsYXADRnSA4aWf0W7G9PAU44A1fAyMZubKG97r\niaWfdYP6MtVJ0ap9KMYx4CRWE5kD/Un9KiAiGgYqK9GLthUzspxYa2Y4RBovK0pU6JGErJsikGHU\nh6rGzxt23dewAoRCkXJlQi957SYhzSZYYMg3dnhQm22qRm4GJn3sSOqULyRTmuq+kIEy15hDiY2/\nc0xo4qiYD8P5Q7MzRxQKifqVqFcXkawS0Pl8oGBYL1uuafbV1lGUqMZDACBFyY3jdp7pAyPS5di1\ne/F5YmroQlzwktEtLLII25gtshxb5FhgSA1D9Z0oXNjoTyD+Oc2V8OCRodQPy82xCwkhohGWUaxF\n5jId30IA/cpB4bA+h2QTwhnn36LrFgDEtKFFCAsM+cYuT2a3qNB7QdNCEQ2kDCndBd+J9jmxKOQa\nFhRShyJhfSIy2Wth3SnPjLkCqJPYsTgWKuY6Mmbh19wPhi+DEYFivU+9Pb+Gr1I2mDcvqqqXQg92\n6a95PUWrHSrOVhUafWBC0IUFivwehhCSvTki7KK3YkJAzInMDgpdOCl0rI6h5BJHUatw4mj2SpfQ\n2wbBmgzL6C/z/cy1WS5RvRBrKfQihAUGxhHi0wkIEGkQwt0akShmFaNqVkP29vkIPQkDTk5uTGKs\nfZ5KIiYnsFubweG2ucUFabedgkcP4wi6kECmv10y9FKZnJPlulcU/cdc2TGdY3JEQ36IpFCHJPQQ\nWp83VtPEyBVg/qxTC4NZvW69jnSxpocuhnBbq+DjYOhrFFnubg7pDSMsvMCfddYwMI6kjJUkL3T5\nlCCE7A5zhFmV2dtDbzhcKSoQ7IKQJb1aYllpvJBgtqkyzmPk5+hNnW3dbRvOjubiVQToacKdS9rU\nDSGArrAuzKgagAxrmxT4AtUjPdW7cTIFd6rnMBfAUtSIkOqSDVOaFOZVM/ZgTo6Szu44QyRJcM8s\nsAAAIABJREFUhiR53CEsWHePve28JEmfrBUVwusBJAlC02LJsszH6SnFtTWpi3nCKNDJw1VYTTyJ\n7qd1t20e84kW1nyOU02LD4/OVDNg1oi5oXpmLjGEwHw/T9axpKYx17gc1jD0ZaxOd8U+ofRGKpOM\n4U1vfU2jWFSVlEBYMGemNOKzM9FEGAKekcCqL1TTVFU9kkGSkqcM7+3vnl6zIkTE+TFyQ7MN3zWX\nTAdSX8ysYyPT59LQojhZrbKvRniYtVeaFtNySQJQi0No60N3k+mVYlVd9oShvrRO6L1R4gNp+u6V\nJElf+CVJDwEz/5+MTPs6avIw/V3MEEF0BCBUFSIUAgLBnj9rxO4DkRj+BJNybyHMxuclSZ/opQR5\nGTIhFUEmEZIUSU2O7K/FbH7JNYkiPPoSZu2i0XaPkT0W+hzh8vD33ugDWxSmR8zJUHI1obg5dDDd\n3Y8sA5XluvOmuT3pagvc2BduJKzEa2yUXsxm1sU/UR9bd9s94RY/lELUIPWVjQeRXigs2KVvJCQJ\nCIYAvxd0RnX38VMkWR8LcEQytpHrZEiKoqvrAft2bG4g2WKiaRAnTkIoCsjrBZ3ZP2Yvz6YPoumf\nI7uVYlf3ylK8Q6qcpL2pmpWcFgbMQrMbBJFcYk2pXaSIE60QbR16O48ch/B4gKoKoDMIVToN9K8q\nyuezSGZwxpVoWiy2PVc7DyP0zFAlA7rNW404jfm8zk9ep9ogVL3tIqyATrcDVZXZH9cuhy6z85+b\nY/NlGVRWGvFhEIDfprz/TuLWvs0VxngytHDFKjgoisn3C6a0/BIEQdc4FCEsMDA5xDRZJJMXMjFd\naBoQCOo5HjQCSv0x73dD9RxWuqf7zTHC3FjDKdIt9JQlz614PMWjmXIKoyJjvhbrYhYUIlBlBdDe\nqfezzwvyyrqbrEqg8tJ8X17O4Cexr2H22M/1ROyRTar4Xkwf1iRGqU425gpxktALyhgJVaLHS/Oa\n08VYgE2mHaqoAAItEKTp+Roqy3J8EQWIW7zF3XIddhEOR6J21Fg4cK4xtHxAxGHUsrs2TJPFZJYs\nL4V6zlkQgaCuBZME0BnUNy3Z1qlwMUVy95iUMAsLQO5z1Oc6Jtqa9wBGvoQQopKCNwfnN1T6xkRo\nOOQZYX9eD+jsAXqJW3NSIDdgqIwTJZkKBGNhn3aU/TVHoBjnima8i7zmzWP/FFt+Ak2LjUfj71yc\nA4h/rkORfCRhBaK9FfD7QCV+vbaCoujmQZFlAqp8kCyldolfb6dBVXE4NvZGXgwt27dvx8yZMzFy\n5EhMnToVzz//PAAgHA5j9erVmDZtGkaNGoVp06Zh1apVCIVCPR7riy++wG233YZJkyZhzJgx+MEP\nfoDjx4/HfWbjxo2YPXs2Ro8ejVmzZkXP1+dxS8iTNeIgVbxekOwBwVTuQVH0Ut++yKJnt1OnOSmQ\neUIB4hMBCRHLt+A2jJ2neTcYCOohjGEVoq1T9/7OFrMd21zZDyJxnzEx0g35BeJDbvUX7L8ms+Bn\nfh2A6OiM+CwJiGBX9+cjUVp1t2L28zEXn+vjOC7qvfHGG3jsscfw5JNPYty4cfjkk0+wcuVKjB07\nFm+//Ta2bduGDRs2oKamBvv378fixYvh9Xpx1113dTtWW1sbGhoaMHHiRPzhD38AADz66KO48847\nsWXLFgDAq6++iqeeegq//OUvMWbMGDQ1NWHJkiWoqqrC3LlzHW173jF2lsaDkA9JP9EOBch8YS3x\nxZcpJug7GUf8FgpoAjQwNAvW0ELDcRTQoxEUBUABOhmmg3kRcHNsfKoaECPqyRDKejMDpktvkQ/m\nlMxWgUKW9WfT0MiVFYh9P5XnuiOgR0JJElBR5s7Ngc04rmFYu3YtFi9ejMmTJ8Pn82HChAnYsWMH\n6urq8Omnn2LcuHGora2FLMuora3F+PHj0dTUlPBYH3/8MY4fP457770XVVVVqKqqwoMPPojPPvss\n+p0XXngB8+bNw8SJE+Hz+TB27FjMmzcPGzdudLLZ7sCIJJDl/Ox+FUVX3Stqd/NIuhhZDxNJ/rlc\nxM07ZlkC5EgfypL7Fh3rLtU86Vt3iR5vLIWtpuqmAjuvwTivIaQS5TdbpWGOc0Mq4WSk85zKsm5D\nT7VegaoCJ09DtJwCAr1olXoT8H1eQJZAZSWRUFgVZCQ1k/T6MVGBtCtUGEK28XyEFf1HVeOvO9gF\nEYmUEES6/0IfwNEnpbm5GV9++SXKysqwcOFCjBkzBnPmzMHrr78OAJgxYwZ27dqFpqYmqKqKvXv3\norGxETNnzuz1uOYqiKWlpfD7/dizZw9CoRD27t2L+vr6uM/X19dj3759CAQC9jfS7eQrjM68cGSb\nT934rtnTXzL9nixeP1vMQldJie674Da7bKppkA1K/aDKMpDPA6osTz+E0aitEQ7HzAzmBdksqPi8\nep8VSTKbnGA8J3YJ9T2MB3GqHZKqQmgaxOn23gV5s8+Q9bo8HqCyAtS/H6i6H1BZbjp35H1jHGS7\nWXACY44UhqOmsBSas2h9CkEIsgFHZ7mjR48CALZs2YLHH38cQ4YMwbZt27Bs2TKcffbZmD9/Pg4f\nPowFCxZEv9PQ0IBrrrkm4fEuuugiDBgwAI899hgeeOAB+Hw+PPPMM1AUBSdPnkRraytUVUVVVVXc\n9/r37w9N09Da2orS0gJRkTlBtFYBEns7Z4NhLhCmv+3E642/drsxhyPmM2QtVRLZi82ZPY2/zZT4\nkZEZwlA3G0JhrrOH2oF58SsWp8dEWCOQzIK72ZQAI9IoiVNisjkhYRVJU2ixliTLppsQIr4AmBm/\nN+LsGZnUyorcfBfB0TtnaAKuv/56DBs2DGVlZbjhhhtQV1eH7du34ze/+Q1ee+01bN68GU1NTdi6\ndSvefPNNPP300wmPV1FRgfXr1+Prr7/G9OnTcfXVV+PMM8/Ev/zLv8CTwo7PFVUT3UK0ep9AN2k6\nGb2ZB8x4ZOgPGGW/qJs93KO29xzlaTfyORglrgvFUS/RLrU3NbwduyTrQuxWzIKfWxewnqpu2nG8\nyO/k90VfI8Ce6BgrPl+kr6EvtG4z3fWExwOAIsXILHOWLIOqKkAVZaCqCnv9RVyMoxqGgQMHAtB3\n+GaGDh2KY8eO4c9//jMWLVqEUaNGAdBNB9dddx3WrVuHO++8M+Exa2tr8cILL8S99qtf/QqDBg1C\ndXU1PB4PWltb494/efIkPB5Pt+vo85g1AKnO9VZvYqDnCdgue7FxjGQ1AexC00yaEXTLu1AUmCM/\n0tUMiIiQaQwaszq3GFBVvU4AoEfgOGFKMQsK2YQ/mwU3qyaFCKgog+b16Bqi0pLc3DMheq806mZ6\nu9dRc0XfwVHReuDAgaiursaePXviXj948CAGDx4MVVWhWSRqRVHifBTMhEIhvPbaazh27Fj0taam\nJrS2tmL8+PHw+XwYMWIEdu/eHfe9jz76CHV1dfAXYqrZXGGEZBkqy1T9AMz3JpXJRlWB0+0Qp04D\nHVn6kDi1IPW2WzZCrty8m06G+ZnLVDPgNYVpGpNosQgMgSAESM/gGbTRaY8I0vETkL76J6TjJ3o/\nbjaaBkPLZBZyzcKD3weUl7lX08K4BkdHiCzLaGhowKZNm7Bz506EQiG8+OKL+Pzzz7Fw4UJMnz4d\nmzdvxmeffRZ1etyyZQtmzZoVPcaNN94YjXDw+XxYt24dHn30UXR2duLIkSNYuXIl5s6di7POOgsA\nsGjRImzfvh0ffPABQqEQ3n//fbzyyitoaGhwsumFgderq9aMyT8VrAtMskUi0KVv1oWkexl32RDv\nn2vMdSqA2IJoeE7brTouRIzdVpx3vIsxhLxU7pt5eCPN3Ai9IFpOQbS2QYQV/f+WU7182Cbhy8iE\narePEtMncFyfsmTJEiiKgvvvvx8nTpzAeeedh/Xr16O2thbLly9HZWUlli5dimPHjqFfv3646qqr\n4swRhw4dQktLS/TvNWvW4Mc//jEmT56MkpISzJ49G/fee2/0/VmzZuH06dN48MEHcfToUQwaNAgr\nVqxIGnnRZ0l3EjGXDE7Jq9siXBTKxjyRf4R5l2YNHywkkjlDFhvWZELJVP5eL6Do2QzJxoVWhMOx\nY0kSRDgcexys98TOcWXn/e1L44aBoJ70/QyOH2/L9yUUPJqqAFAhJJ/uZBoOQ3QEdF8iWQCVFYW5\nyALdnR/d4NeQzI/ETFcICIWge3mXuOP6ncA65aXiC2NEgdjpv9ARgPzPY1HhQB30TcCOwkVmzUku\nnToTJXMq1GeZiTJgQM+VdfuWxwbjKGq4A1roNAgCQsjwlH4DwusFVXnS0Ei4GFlOb4HONXFx4kl2\nzZoGEQhGE+tQR1APDdM0ACK/NR5yjTUPSCr3zg7nNmttjfJSqEPOhugM6AWMEkUoaBrQfAJQCaiq\n0AWKZPfFWo20UDVfjOtggYHJGVq4AxCRsq+kQVODkD2lhS8omHGDoAB0XxiSKQ4ttnuhhEGKISRQ\nXsqCO0o+7pu1/oIsdy9gZEE6dEQP5QWAUAiad6AtEQeGYjmr0HJzETOnIpaYvMICA5M9PVV1E1Ik\nhhkACEL0EZV3OpgjLLJJdJSuECbLIFmCiCTUoW4aBbZU2k46Ah2gj42QEkseFA7rabuTYXZETjAu\nzFZoIspeaDDOwxQ9LBIymWEkazKnArZUdZN91dD9ygmStwKSXECx2Eb2wlwmabJ66WcbaWEW1pLt\n9oQAKspBpX5QeSlQUZ44GVaxk25FyGwwL6qpLLCSBCrxRsYJgYSkJ0FK4XvRKIi+ch8ZR2ANA5MZ\niXZLlklQkj2QygY4fGE2QKQ7BBo7NaLCSNBijbVP5fPmBcjviwlIqUQPFDrWtMm53iVn4PNCZw8E\nWk/rAkP/funf34QvC3tMEkyfowBmQcbVmB3IimVnqqrxYXeqlpsnxaouzvfkbZiUVDVikXCRQ2ex\nkG5fejygb5xh+2WwoMBkAgsMTGaYcy8YyWDcXGwoEWZ1dJzvhaUgUS7b5LZICyNKAtD/N2sZii3m\n3mrrd4p83O+exjrDpAELDExmFPqkY64+CcQvjIbaV41M7N4cPyZu6ktJ0r3yrQtob/1VwIRCpxAO\ntQIQKCkZANlbltsT5qsPjcJyfVVoCIf1/vb5CmtT4zL62Khh8oIbay0ks1nLsh5W6PP2rQlGkiJ1\nREhXNBi+G4kKF7mVFB0ZNU1BKHjC+BKCweb0zqOqeuKrUDgzh1WnxpVZa2TNQWHHsS3Ozq4j2AXR\nGYQIKUBbh7vHrsthgYGxBSKCpoW7FwqzlNN1DdmWX+4IQLSeBk63F06561SR5UhdEZNmJd2aIfki\njagT0lSQOXw0HcHWKHlOiEXUpIuj0Rk5undk6T83ElaiGhVh/M1kBAsMTNZomgpVDYJIhaoGYhVH\n3SzJWx0O01HRhkJ64SxJ0iegQAEU0MoWc46NXKYbzpY0FkPZ44fHUwZNU0BqCF5fVeq7ZetnUh3q\nTpdmB0z+RdB/7EoBXihaJ+s1plqJl+kG+zAwWUOkRL2uhZAAKAB8MfWnW3ejmU7YWoFMlHbj1AJn\njJlMxk2a4ZGl5YOghoMABGTZGztGMmQ5loGRSK/ymipOZDq1Olamcu/SDS21Pt+ZpNx2grISUGcQ\nAOnpt/tKzZQcwAIDkzXmuO5umeMkqfgcrbweUDCoZ0kUElBhQ8EgRsecBCyTxEPmKo8pflf2+OMX\nulQXTXPeCjctQuk6VhrmQnPUU6pYo3zMIclucYyVJKAix86sfQQWGJiskSQfVLULAEGSZEiSqQZB\nMdWNAGKTamUFSNV09aabFotkuHEHaGBdtDPV3KTbLmOMJkpvngw33vt0n7dohk/ovhiKovuwpNoP\nZjNLMT3rTDdYYGBsQZZ7LqBTlAiRnhraDRj2efNi7CahIZ8mLDf1Q7ZkunArSux7igr4MhC8+op5\nro9SRE8JwzhAknTYrsapZFSZYt3dF9MirmlAV1gPwcz1opqsDwNBoDMQLzQSIRLyES15ntW53ewY\ny2QMaxgYJl1yMRE6YSow7+Ddqj52cpFxMuNitDYJgK4uoKQkt+fr6d62nIIUDAJCgDoCoAGRtNMe\nj33Fx1hQKFpYYGAKG8NhKx9pqY0Fxw4/DfP3c+EsRgQEQ3p5ZCEBpf7indiJ9IRKQM+Z/az5GnLZ\nF0YiqagzYO5OlQwpGAAk3ZQmQiGQqsb8MLxedzpxMq6BBQamcCECOgMQBD0BT2mJcxOd2R8gU49+\nJzEWUEnW+011iQd7LugIQETuD4UUoLI8v9cjBCCZI4cyFC7bOyC1ngaVloDO7J/RIUiSo5VCEpoN\nWFBgeoEFBqZwCYUhIKD/E6CuMFDm0IRntz+Acbx0TQVE+q7QKADW2+cMrJn/igkiCCO0T5IgVDV+\nF50v/P5YhsFMapN0BuD58qCuHdJOQgsr0M4ylY5XFN0/QpL0cM8exgKdUQWcageIQFWV7jRLMa6F\nBQamcJEcrCppxewRboc/gNlZLFWIgI5OiMivKOtFw+L16iYJA0+eHn0j3t+wkxsOd2ZVeJZ9SYjV\n2ySpB3NRBvkaskIIvS5JhkitbbqwAOiCUHsHgIjAoKoQnQH9fUUFaRpQ1kNuEJ8v5rfgVtxUvZWJ\ng+8IU7h4vSCPDAKBhABKfM6d2+wzkS9zRCisJ8kSAkISuhd+T8iyLlCU+PT/87WzNPt9GL+Hwnr2\nTC3DmgxmhAAqykCS0MdETwsnkPv7pmm6IGRDjQWtokz3P4kcl8xOk6oaEyaEiFVZLUTMWT7dWpui\nD5MXgWH79u2YOXMmRo4cialTp+L5558HAITDYaxevRrTpk3DqFGjMG3aNKxatQqhUKjHY+3evRuL\nFi3C+PHjMWHCBNxwww34+OOPo+8vX74ctbW1GDlyZNzPyy+/nOtmMk5Q4gfKy/KzCEqRpE353AnF\nmRqSmBmEgPzlV/C/8wG8jbvTm5BVVS8RHLY5LNB6DXYsErIMVJQD5aX5uz/mmhR2FF7rVwF1yGBQ\nZTm0gd+ANvibsffM2RaJ8m9+YYoWx/WSb7zxBh577DE8+eSTGDduHD755BOsXLkSY8eOxdtvv41t\n27Zhw4YNqKmpwf79+7F48WJ4vV7cdddd3Y7V2tqKm2++GfPmzcPatWsBAGvWrMGtt96Kd955B1VV\nVQCAq666Co8++qij7WTyQDbVFM3hhoWiCvX7dPWzoumif5JQPfnQP+F7//9BaAQ54vgYnjg6+XkM\nJ0mjS41MgJlgNQVY+9rOvs/3fdQ0oL0zlpo4y+uhM6uhnlnd/Q1ZBlWU6Y6tkqT7SzBMDnD8iVq7\ndi0WL16MyZMnw+fzYcKECdixYwfq6urw6aefYty4caitrYUsy6itrcX48ePR1NSU8FgHDx5EW1sb\nFixYgPLycpSXl2PBggVoa2vDP/7xD2cbxmSPqkC0/BPi+FdA29fpfTebXa+1gI6xIwyHdUc1N6tG\nS0uAyjJdy5JESBLNLXr9CwAkgPDJFpwKd0JL1neahjgnyWwUDIZWxrzz93l1YUQSzvhWpFqRMkvE\n1ychdYUgdQQgTp3ufg2GL4ddWpXS0qTCgqbpSRwVeywl9mOY+jjxkytx9I40Nzfjyy+/RFlZGRYu\nXIgxY8Zgzpw5eP311wEAM2bMwK5du9DU1ARVVbF37140NjZi5syZCY93wQUX4Nxzz8VLL72EtrY2\nBINBvPzyy/jWt76F2tra6Of27duHa6+9FmPHjsWMGTOwbt06qIaTFZMZOZh0xemvIdQwBAhSoA0I\ntqXxZRvNEUQx1buALjSEw9nb1/OMOnQQKOJ4p2gagt88EwqpOKV09P5FWUZUvUCUeViggTVvhRC6\nxsLjcaaKo6rZ4y/RG6qq95gQer0RxR2rs0aJf2eYVHDUJHH06FEAwJYtW/D4449jyJAh2LZtG5Yt\nW4azzz4b8+fPx+HDh7FgwYLodxoaGnDNNdckPJ7f78e6detwyy23YNOmTQCAwYMH49e//jV8Pt0B\n7pxzzkFHRweWLl2KIUOG4C9/+QuWLVsGIQRuvfXWHLe4SMlV0hsyCXFCinnOp0qmi41ZTa5pEU99\nSV8jNU0XGHyRR0VR8hdhkCU04AwEL78Y+MdhtFX50XX+EACAmorg5/XENDGFvPMza5MIuct46fGA\nZDlWuTUdvwKiWAimJ3c+GNZ8Uo5jXABQ2GOqDyGI7PRg6p3du3djwYIF+NnPfob58+dHX583bx6G\nDRuG888/H5s2bcLq1asxfPhw7N27F3fffTfmzp2LO++8s9vxWltb8b3vfQ9XXHEFlixZAgB47rnn\nsG3bNrz++us444zE4UOPPPII3nnnHbz99tu9Xu/x42nscIsd88Ntxa6KlIF2SKeb9bS1EKAzzwFk\nhxdnczImVdMFBNlkaydkFR6XEWFF39Xb5MxGRDgRaouWJfdKHlR5+0j5X1U1mVTIljDOHgkrER8G\noSePsi6KPYUPdnXFrpGgR7bYdI3GsAZ0mdjT0zptliZy0T9GKK3Zb4iFBlcwYEBlj+85eocGDhwI\nAOjfPz5L2dChQ3Hs2DE8++yz+P73v49Ro0bB5/Ohvr4e1113XVR7YGXHjh04deoU7rnnHlRXV6O6\nuhpLly5FV1cXduzY0eN1GOdj0sCqVTBj14RSWgHtzHOgVQ0EDRiambBgTHSJhJtUZGMjL4Ak6bu7\nEn98wals1fHpcvIUpOMtkJpPAG1JTAcpIoRAf28F/JIX5bI/P8JCT/fJWEiUHPmOSBHNkUDMXp4r\nvB6gfz+gqjLxYtjTIhnXbJt8HEyn9MiRn55mfyMc1LgXudhTWvOncJXLgsBxgaG6uhp79uyJe/3g\nwYMYPHgwVFWFZnk4FEVBT0oQTdNARHHvE1H0OKqq4he/+AX++te/xn3vwIEDOPfcc21qVR/AWnI4\nlxUFPT7AXx6LK09GSAGCim4jTrT4GK+Zw86STU7GQmJM6F5vxBYtO2uOUFVIgZA+u8syREfAtkPL\nkoQKTwlKPS7zqNe0yO5axBwD7cS4j/kOh+2NuMuy3wSUVGlgXczDSsxT0s77kU1UE5MXHH1iZFlG\nQ0MDNm3ahJ07dyIUCuHFF1/E559/joULF2L69OnYvHkzPvvss6jT45YtWzBr1qzoMW688UZs3LgR\nAHDJJZeAiLB69Wq0t7ejs7MTTz/9NABgypQpkGUZX331FR588EEcOHAA4XA4GrrZ0NDgZNMLm3R2\nR04SUgCF9AUmpAKq2ZPf7N1lEXjSnfRExHvf6fh2IZLnVig2zPemUJpuU3KmKD5f7Pnye3tdTK0b\nJlswn09VEVPJCPs8Jc3zR6H7xfQhHPVhAPQBvnbtWrz88ss4ceIEzjvvPNx33324+OKL0dnZibVr\n1+LNN9/EsWPH0K9fP1x11VW48847UVqqZ2y77LLLMGfOHNx9990AgMbGRqxZswb79+9HMBjE8OHD\n8aMf/Qhjx44FALS1tWHVqlV499130dLSgkGDBuG2227D3Llzk14r+zBYcFvK1mBYjw80kAXgiyzq\nvQ3rQsq10NEJ0dap+3VUVegmkmLGMLIb9S7c7mDaFYqNNY+zGijr1C3M2RGz9T0wHI6JELevFNB9\nepiipTcfBscFhkKCBQaXE1J1U4RhA/XL8ZOZMbStaWYLRVjoq7hBMA1Fwmp9vezwVVVX10ffJ0eT\nJnUTGKwhD3ap+RU1VqBDzkMZecZRehMYXC6+M0wv+GTdCdEIhbTufHryu2DcTa4881MlEIxWvKRw\nuOekWIaDbPS9/F2zMDsOmrUMdox7j5zn+EvGLbDAwBQ2HglcQ61I0LSYil8S+m49H4uUokWjYQSg\nl8dOZGoQQo+EMOIUMylbnQUiUd+YU5xnUi6955Nlfwym4GGBgSk+7LLjMt0xl6a2m7Aaf8/SrVlh\n1+Iom3bryYo5eTzumUWNBGRm8xtrBhgbcctQZxh7MIfiRbM28oRpC9bSw9kKDZoGcbodUFU9ZbUv\nC/u/eWcNZHfPS0tAwUjypFL7kialQtayrhoJfzTukc/Bku9M0cMCA1NcWGO7eYeVG+zo2/bOiDpf\nQARDII8nko4b+i4/lYgDo3iTNWzW+reixMJjkyGEXtQr2XkVRRcqZMmWkFvNVBA0YdcmE4aMvpDl\n1PKNMEyasMDAFBdCxFLOArl3dizWfPhGlr/eNDRZCmLCGrmiEVBemt41GsdQ1cS5QYiAzkBsIVY0\nPdVytoRNhasUxZ6skUYkgvG7mUAQIhAEIEClJUBpAm2MEPr3lFDk+6RrGFhgZmyiiGY4hkFsa2bW\n7abynXSqb5rt272lzC5UiCBOtUGcbodoPaVX6gRiUQE2aW2o1A+QYUKi9BdyqzbJMEeZhQZV1cMN\nDeyqUBm3e7dpQRY9/E6kCwuSBEhC/70n7YEkIrlJBODx2tNe49kolvHNZAxrGJjiwWxjT2e3b1Zp\n92abN9TQmqanri7WmPRgSP/f6IdAKOZ8aKcWxe/XzRCK2nu+g1Qwp/I2I8vxO3e7bpcsmRJM2eNc\na5bHeu/mXkwNkmRvcTRDCEvl+WCKHr7zTPGQSRGbRPUnesKodGjUuchFrQM3IGDZvSdpY28Fv5Ih\ny4A/gdo8nZofQM9CohCgEp9e/VRI9mXK9HgiNT6kWOlzG0jYDCFAJSXRXT6VlvQsoBgCEmmx67Tj\nohgGrGFgiglDu2DsiFLZCVknw1QmR6N2gNXZrVh2XiV+kKJAhBWQJAFlafgV2EFcPYnIvQxHMi96\nPLH+T7W+h9ebXnhmqjhZW6SsRDfhAL2PUSH0+hN2YZh62IGYAQsMTLGRyaIty6mlI5Zl3aFMMRzs\n5NjClQ1uTFtdUe6e2k+hUCxHQ2cbhMcDSBIo3KU7/zldFCzHEFHipEz5WKwNwTsdIZwpWlhgYBgg\ndW2ER7bHI94gWUhgX8FsKzcWKCAS9WL2MUE0IkJIAqSoRSUwaJoW2cxTxJfBBQs0J0Dezs8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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": 13, "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": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "730 sources flagged.\n" ] } ], "source": [ "GAIA_FLAG_NAME = \"ps1_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": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.write(\"{}/PS1.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 }