{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "See also: https://dcc.ligo.org/G1800370" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/h5py/__init__.py:34: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n", " from ._conv import register_converters as _register_converters\n" ] } ], "source": [ "# %load inj_dist_stats\n", "import sys\n", "import os\n", "\n", "import numpy\n", "%matplotlib inline\n", "import matplotlib\n", "# embiggen in general\n", "matplotlib.rcParams['font.size'] = 24\n", "matplotlib.rcParams['legend.fontsize'] = 24\n", "matplotlib.rcParams['text.usetex'] = True\n", "matplotlib.rcParams['text.latex.preamble'] = [r'\\usepackage{amsmath}']\n", "matplotlib.rcParams['lines.linewidth'] = 4\n", "from matplotlib import pyplot\n", "\n", "import seaborn\n", "\n", "sys.path.append(\"./gw_event_gen\")\n", "import eventgen\n", "import rates\n", "import netsim\n", "\n", "sys.path.append(\"/Users/chrispankow/work/LIGO/pe_presentation/\")\n", "from pe_page.plot import make_pretty\n", "make_pretty()\n", "\n", "from vt_sens import vt, write_vt_to_hdf5\n", "\n", "from IPython.display import Markdown, display" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Set up network and confirm horizons\n", "\n", "LIGO and Virgo data adapted from curves in [P1200087](https://dcc.ligo.org/LIGO-P1200087). The LIGO PSD is present in `lalsimulation`, the Virgo PSD was gleaned from data directly posted with the document. LIGO PSD is selected to match the range values projected for O3 from [G1701736](https://dcc.ligo.org/LIGO-G1701736) and may not accurately represent the frequency dependent features of the realized PSD." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Setting up network...\n", "Instrument V1 will use PSD virgo_psd/advvirgo_mid_low.txt\n", "V1 range, 1.4 + 1.4: 61.7 Mpc\n", "Instrument H1 will use PSD SimNoisePSDaLIGOMidHighSensitivityP1200087\n", "H1 range, 1.4 + 1.4: 118.1 Mpc\n", "Instrument L1 will use PSD SimNoisePSDaLIGOMidHighSensitivityP1200087\n", "L1 range, 1.4 + 1.4: 118.1 Mpc\n" ] }, { "data": { "image/png": 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QSqRMbogM1JIly5qdZdGFgIAgbNiwDkDtktCyZR/US240dTeahpSavysUimaThLqFyEBt\nF26FovYoCpVKCblcjgMHkrSzNaGhQ3Do0AFtX6qWnleXn18AduzYhhEjRuHAgSS4u3toG27WlZJS\nG3dKylFkZWVix45t9eJSKBSQy+WNjtHW7t0AkJ2dabQnHnPmhoyGtbkVPO3dkacsQEV1pdjhEJEB\nkMlk2q7WjRk0aAj27Nmt/YEeGjoEmZkZjSYPdR0/frReXcq99TuDBg3RJgya15paSmrseXXdu0z1\nwQfLGm3GuWDBW1i27AMsXBiNgIBATJ48tV5cycnJzc5Gabp331vzAzTs3g1A28HbGDG5IaPi6+iD\nanU1LiryxA6FiAzE7NmvaDtNT5/+HAIC/qzJ09Td1P2hX1RUWK8+RlNXsnz5u9qlpaKiwnpJh79/\nbWISHb0Q9vYy+PsHYPz4CcjMzEBk5GyoVEqMGDGq1c+714IFbyEl5SiKigrh4ODQaGFwY+rGJZPJ\ntH9vTFu6dwPQWwdvXWBvKRPSGXqKpF47jdi0z/BXn0fxmM8oscMhA9LZ+uoQ3au9nwFdd+/WFfaW\nIpPRW94TAIuKiYioaUxuyKjILO3hZtsVFxS5qK6pFjscIiKj5+HhaXSzNi1hckNGx9fRB3eqK1Cg\nKhI7FCIiMkBMbsjo+PK8GyIiagaTGzI6veXsEE5ERE1jckNGp4uNE5ysHHGu7CK42Y+IiO7F5IaM\nUm/HnlBV3sSV8qtih0JERAaGyQ0ZJdbdEBFRU5jckFHS1N2cLb0obiBERGRwmNyQUepm1xV2FrY4\nW3pe7FCIiMjAMLkhoySVSOEr90HJnVJcv1UidjhERGRAmNyQ0fJ16gUAnL0hIqJ6mNyQ0fqzqJjJ\nDRER/YnJDRktT3t3WJtZI4fJDRER1cHkhoyWVCJFb8eeuHbrOkrvlIkdDhERGQgmN2TUNEtTbMVA\nREQaTG7IqPVxrC0qzmFyQ0REdzG5IaPmLfOEpdSCRcVERKTF5IaMmpnUDL3kPXHp5hWoKm6KHQ4R\nERkAJjdk9LRbwsu4NEVERExuyAT43q27OVvCpSkiImJyQyagp4MXzCVmrLshIiIATG7IBFiYWaCH\ngzcKVJdwq+qW2OEQEZHImNyQSejj1AtqqHGu9KLYoRARkciY3JBJ+LPPFIuKiYg6OyY3ZBJ6yXtC\nKpGyzxQRETG5MRVqtVrsEERlZWYJb5kn8pQFuF11R+xwiIhIRExuTMTNW5VihyC6Po69UKOuwQVF\nrtihEBGRiJjcmIirJdwlxLobIiICmNyYjKsl5WKHILrejj0hgYTn3RARdXJMbkzENc7cwMbcBp72\n3XFRkY/Kai7TERF1VkxuTMTlG2waCdS2YqiqqcJFRb7YoRARkUiY3JiIomtMbgDA1+lunykuTRER\ndVpMbkzEpWKV2CEYBF85i4qJiDo7Jjcm4vL1clRV14gdhujsLe3Q3c4N58suorqmWuxwiIhIBExu\nTER1jRrXy26LHYZB8HXshYqaSuQpC8QOhYiIRMDkxoRcvsHt4ADQ5+55N2zFQETUOTG5MSFXmNwA\nqJ25AVh3Q0TUWTG5MSFF15ncAIDcygFdbVxwrvQiatSsQyIi6myY3JgIM6kEhdwxpeXr6IPb1bdR\noCoSOxQiItIzJjcmwqOrPQqu3URNJ+8OrsGlKSKizovJjYno2c0BdyqquWPqLm1yU8KiYiKizobJ\njYno0d0BAFBwjUtTANDFxglOVo44W3aBdTdERJ0MkxsT0VOb3LANg0Yfp164WVmOyzevih0KERHp\nEZMbE9HTvTa5ybuiFDkSw+HrqGnFwKUpIqLOhMmNiXB1tIHM1gIXLzG50ejDomIiok6JyY2JkEgk\n6NnNAdcVt6EorxA7HIPgauMCB0sZckrPQ81dZEREnQaTGxPi010GAMi9zNkboDbh83X0gaJCiWu3\nisUOh4iI9ITJjQnp2a227ubCJYXIkRgOzdIU+0wREXUeTG5MiM/douKzhWUiR2I4eJgfEVHnw+TG\nhMjtLOHmbIuzBWWoqWGNCQB0s+sKOwtb5PAwPyKiToPJjYnx95LjdkU18q/yMD8AkEqk8JX7oORO\nKa7fuiF2OEREpAdMbkyMn5cjACA7v1TkSAxHH6feAFh3Q0TUWTC5MTGa5OYMkxstbVExl6aIiDoF\nJjcmxkVugy4OVjiTX8qzXe5yt+8GO3Nb5JSeEzsUIiLSAyY3JsjPywmqW5UoKmafKeBu3Y1TL1y/\nXcK6GyKiTsC8LTcfOXJEV3FohYWF6XwMU+fv7Ygj6ZdxJr8UHq72YodjEPo49sKpa6dxpvQ8wmyc\nxQ6HiIh0qE3JTXh4OCQSia5igUQiQUZGhs6e31lo6m4yc0swYqCnyNEYBj9NUXHJOYR1HyRyNERE\npEttSm4AYNiwYTqZXUlOTtbLzFBn4OZkAxe5NdIvlqC6pgZmUq4+drdzu1t3w6JiIiJT1+bkJigo\nCDNmzBA8kNLSUiY3ApFIJAjp3QUHfy/EuUKFdianM9PU3Zy6dhrXb91AFy5NERGZrDb9Sj9jxgwM\nGzZMJ4EMHz4cEREROnl2ZxTSqwsA4I9z10WOxHBotoSf4ewNEZFJa1NyExUVpbOC37CwMERFRenk\n2Z1BTk5Ovb8HejvB3EyKtPNMbjTq1t0QEZHpalNyU1BQgCNHjqCgoKDBtczMTKhUPPJfLGPGjEFJ\nyZ/bnK0szeDv7Yj8qyqUKO+IGJnhYN0NEVHn0OrkZu7cuRg1ahTCw8MxevRoRERE1Etm7O3tsXz5\ncgQFBekkUGrehQsX8OKL01FdXa19rd/dpSnO3tTS1N3c4Hk3REQmrVXJzcqVKwEAu3fvRkpKCv7z\nn//Aw8MDEyZM0CY4Xl5eGDZsGE/FFYmtrS0OHfoJ//73Mu1r/XrXJjepOcVihWVwWHdDRGT6WpXc\n5OfnY82aNQgKCoJMJkNwcDBiYmLw0UcfYe7cudplKrlcrtNgqWnvvPMOfHx6Yc2aVfj22z0AADdn\nW3i42uH0hRu4XVElcoSGgXU3RESmr1XJTUhISKOvBwcHY8uWLdi0aVOjdTikPx4eHti69QvY2tph\nzpx/ISsrEwBwv58rqqprkHaeyzAA626IiDqDNhUUq1QqZGZmNng9JiYGycnJSE9PFywwahs7OzsE\nBgZh7dr1KC+/iWnT/omyslIM9HMFAJzIvipyhIaBdTdERKavVcnNjBkzsHLlSjz//POYNm1ao/dM\nnDgRnp6erLkRiZ2dHQDgb3/7O15+ORLnz5/DSy+9AA8XW7g6WuPUueuorKpu4SmdA+tuiIhMW6tP\nKI6KioJSqWz2nrFjxyIlJaXDQVHbaZIbAHjrrbeRlnYKSUmJWLXqA9wfOhGJR/OQfqEEA/q4iBil\nYWCfKSIi09aqmRvNjiiZTAaZTNbsvS1dJ92om9yYmZlh48Y4eHv3wMqV/0b5pZMAgJSsK2KFZ1C6\n27nBzoJ1N0REpqpVyc2XX36JyMhIJCQk8KA+A1U3uQEAZ+cuiI/fARsbGyxdNA+WVdfw+5li3Knk\n0pRUIkUfR9bdEBGZKrMlS5YsaemmgQMHYuzYsZBIJNi4cSMOHToEa2treHl56SFEao2KigpIJBb1\nXnNzc4OXlze+/vo/KClMR5fef0GP7o7wcLUXKUrDoaxQIeNGNjzsu8NL5iF2OCQAOzsrlJdXiB0G\nkWg622fAzs6qyWutSm40XF1dMWLECIwYMQIZGRlYt24dMjIy4OTkBFdXVyFipQ6oauQom6CgvlAo\nyvDzwSSobhTCtfcwDA3upv/gDIyFmQX+V/gbbMxt0N+1r9jhkAA62//Yie7V2T4DzSU3EnUHtzcp\nlUrs3LkTp0+fRkhICCZNmgR7e84M6FtNTQ2uX7/Z6LXKyko888x4JCf/isC/TMH321fD3sai0Xs7\nixp1DV7/NQaWUkssHfYGJBKJ2CFRB7m6ynDtWvObHohMWWf7DLi6Nl3j26Zzbhojk8kwY8YMrF69\nGmFhYfj0008RGRmJpKSkjj6a2kAqbfqf0sLCArGx2+Ds4obM/23H5u1f6TEyw6Spuym5U4rrt0vE\nDoeIiATU4Zmbphw5cgR79+6FXC7Ha6+9posh6B4tZew//3oEk575KywsrfDLoV/h49NLT5EZpkP5\nh5GQswfPBTyDMPdQscOhDupsv7US3auzfQZ0OnPTlLCwMMTExDCxMSAPPRCG0c+8iju3VJjy/D9w\n82bjy1idRR+n2uSOW8KJiEyLzpIbMkwzpk9Dj/5jcSY7E6+++nKnPlFac97NmZJznfr7QERkagRP\nbhISEoR+JAlocKAb7hs1E129gvD1119hw4aPxQ5JNKy7ISIyTYInN6dPnxb6kSQgGytzhAZ5oN9j\nUeji0hUxMYvwv//9LHZYounj+GcrBiIiMg2t6i01d+5cFBQUtOqBGRkZeOeddzoUFOnWX/p1x5H0\ny3jmhWXYsuIlzJw5Ffv2/QIvL2+xQ9O7unU3LComIjINrUpunn32WezduxfDhw9v9r7S0lJs3rxZ\nkMBId/y8HeHqaI2rN7thyTv/xltvvobw8Ofw7bc/wsbGRuzw9Kq7nRvsLey0dTc874aIyPi1KrkJ\nCwvD4cOHMWbMmBbvzc/P73BQpiI/Px+JiYkoLS3Vfl/mz5/foG1Fa+8TilQiwfCQ7vjv/y7Ab9A4\nTJ58Cjt2fIb58yOxbt2nneoHvFQiha9jL6ReS8P12yVwsXEWOyQiIuqgViU3ADBu3DhB7zN1+fn5\nSE5OxsyZM7WvJSYmYtSoUdi9ezeCg4PbdJ/Qhvftjj3/u4DDaZfx/vsrkZFxGrt2/R/uu28gIiJe\n1MmYhqqPU21yc6bkHJMbIiIT0OqC4qCgIEHvM3WJiYmYNGlSvdfGjh2LMWPGYO7cuW2+T2hd5NYI\n8nHG2cIylNysRlzcdri4uGLRojfw22/JOhvXEPndLSo+w6JiIiKTwHNudGTTpk1ITExs8Prw4cOR\nn58PhULRpvt04YGQ7gCAX9MuwcPDE5s3b4Narcb06VNQVFSos3ENzZ91N2d53g0RkQnocHKTmZkp\nRBwmRy6XN1p/JJfLAfxZm9Ta+3RhoJ8L7KzNcTjtMqqqazBs2AOIiXkPxcXXEBExBXfu3NHZ2IZE\nIpHA38kXZRUKXC2/JnY4RETUQR1ObjZu3ChEHCZn//799epoNDTJiqaWprX36YKFuRnC+naD4mYF\nUnOKAQAzZvwLTz89CSdOHMebb87X2diGxs+pdmkqm0tTRERGr9UFxU0RYxp/xYoV8Pb2blCr0pT8\n/HzExsZCJqttsqVUKuHl5dVoUqFre/fubVXcrb2vox4e4IH9xwtw8GQhBgV0hUQiwcqVa5CdnYXP\nP9+K/v3vw/PPh+s8DrH5OfkCAM6UnMWDnmEiR0NERB3R4ZkbfW0bVigUSExMxIQJE7B58+ZW16Ik\nJycjPDwcM2fOxPz58zF//nzExMQAACZMmKDLkBtITEyEQqFAVFSUIPcJwd3FDv5ejsjMLcHlG+UA\nAFtbW8THb4ezszPeeCMKKSlHdR6H2FxtusDJyhFnSs+hRl0jdjhERNQBBl9QnJ+fj1GjRmHu3Lko\nKytr02yGQqHA3LlzERMT0+DMmJkzZ0Iul2Px4sVCh9xkLCtXrkR8fDwcHBw6fJ+QHr7PAwDwc+qf\nRcTe3j2wcWM8qqurERHxPK5cuaKXWMQikUjg59QbNyvLUaS6LHY4RETUAR1eltI1Ly8v7N+/X/v3\nxnYWNWXlypWQy+UYNmxYo9dnzpypndW5N/kZNWpUm2Nds2ZNkzUyc+fOxZo1a1o8mK+19wlpoJ8r\nZLYW+PWPS5jwYC9YmJsBAB56aASio99BTMwizJjxPL766ltYWlrqLS5983fyxdHLJ3Cm5Cw8Ze5i\nh0NERO1k8MlNR+zcubPZmR5N0vPll19i/vz6xbN1E6qOWrx4MaKiolosDm7tfUKzMJfigX7dsfe3\nPBzPvoaw4G7aay+99ApOnTqJPXt2Y/HiN/Dvf6/Sa2z6VLeo+BHvB0WOhoiI2svgl6XaKzm59iC6\nlmZAHBwc8OOPP+osjtjYWIwdO7ZewqJQKBps8W7tfbryUP/amYpDJ+ufbyORSLB69ScIDAxCXFws\nvvxyh17V72ySAAAgAElEQVTiEYOTtSO62rjgbOl5VNdUix0OETWiuqYa2zMTcL7sotihkAEz2eQm\nPT0dQMvJjZeXl84SiMTERAQHBzdYFtu7d6/2HJu23KdLXZ1sEezjjJyCMhRcU9W7Zmdnh/j4HZDL\nHTF/fiRSU3/XS0xi8HPqjdvVd5Cn7DyHGBIZk1PF6ThyKQWrTqwXOxQyYB1Obgz1RFdNwtJSUa6u\nDstLTk7Wzh5p/pyYmIidO3ciMTFRG1dr79OHhwfcLSw+WdTgWq9evfHpp5tRUVGB8PDnUFxcrLe4\n9KnulnAiMjyV1ZVih0BGoMM1N8OHDxciDsGVlpa26X6h2xyEh9eeDbNz584G1+ouPbX2Pn3o79sF\njvaWSE6/hKce7gVry/r/eYwc+Shefz0a77+/FDNnTkVCwh6Ym5tW2Zam7uZMyTmM6fmIyNEQEVF7\ndPgn08SJE4WIQ3BKpRIAWr2sU1ZWJuj42dnZgt6nD+ZmUjzY3x3fHL6II+lXMOLuFvG65s59Damp\nJ7F373eIiVmMmJj3RIhUd2SW9nC364ZzZRdQWVMFC6lpJW9ERJ2BoDU3kZGRUKlUDV4/cuQINm/e\njMWLFyMyMhJLliwRcthGtTVZ0WWDSmPy8H0eMJNK8NOJgkaXHKVSKT7++FP06eOHTz/9GF99tUuE\nKHXL38kXlTVVuFiWK3YoRETUDoL+WpqcnIyRI0di2bJlGD16tPb1sLAwhIXVHmmfmJiIefPm6SXB\naQt91rboiqurTJBnDO/njl9SC3FZcQf9fF0bvefbb79BaGgoXn11DsLCBqF///4dHttQhFb0xcGC\nX1FQkY9hrgPEDofaQIjPABk2mcpa+2f+ezfE70ktQZObqKgoqNVqzJkzB4899hiWLl0Ke3v7eveM\nHTsWe/fuFXLYRmmWo4RebjJk164pBXnOA3274ZfUQnx1IAfd5daN3uPs7I6PP96EqVP/gb/97Uns\n23cITk7OgowvNldJd0ggwcmCDIxwe1jscKiVXF1lgn0GyHAplbe1f+a/d32d6TNwujgTIwIHN3ld\n0GUpiUSCSZMmYd++fSgtLcXIkSOxb9++Bvfp4/RdTZPM1tLXlmtj0NvDAT3cZDiZcw3FZbeavO+x\nxx7Hq68uQF7eRbz44nRUV5vG2TC2FjbwlnnigiIPd6orxA6HiIjqOHElFZ/+sbXZe3Ryzo2Xlxfi\n4+Px6quvYs6cOZg3b169WhxHR0ddDFuPZoyWamk0MzumsCwlFIlEgpH3e0KtBg6ebP68lwUL3sSo\nUY/i0KGf8P77S/UUoe75OfVGjboG50oviB0KERHddbo4E1szvoSVmVWz9wma3OTl5dX7u2YWJzc3\nt8lZHF3RbKNu6fwazXV99nIyBkOCusLexgL/O3UJFZVNz8hIpVJs2LAZPj69sHbth/j22//qMUrd\n8deed3NO5EiIiAgAckrOY/Ppz2EmMcOs/uHN3itocqM5jK4uLy8v7N69WzuLExkZqZc6GM1pvy0l\nNwqFosnGmp2ZhbkZHhrgDtWtShzNbL4juFzuiK1bv4CtrR3mzJmFrKxMPUWpO70ce8JMYoZsHuZH\nRCS6PEUBPv0jHjVqNWaGPA9fR59m7xc0uUlPT8dTTz2FhIQEHDlypN41zSxOXl4eNm/eLOSwjfLy\n8oKXlxdOnz7d5D2aZGzs2LE6j8cYPTzAAxIJcKCJbeF1BQYGYe3a9Sgvv4mpU/+BsrK2HaJoaKzM\nLNHTwRv5ykKUV5aLHQ4R3SWRSMQOgfTs8s0r+OTUFtyprsC04H8guIt/i+8RNLnJysrC1q1bMXTo\nUHh6eja4rpnFWb16tZDDNikqKgrp6elN1t0kJibCy8ur2c7hnVkXuTUG9nFF3hUVzha2PNv2t7/9\nHXPmzMOFC+cxe/ZM1NTU6CFK3fF36g011Mhh3Q0RkSiu37qBdamboaq8iX8GPIWBXfu16n2CFxTL\nZDLtrElTxowZ0+7np6WlAWhdL6ixY8di2LBhiI6ObnAtPz8fO3fuRExMTLtj6QxG3l+bpB44UdCq\n+998czEeemgE9u37EStWvK/L0HSOfaaIiMRTdkeBtamxKL1Thgm+f8Uw96a3ft+rXclNZmbHaira\n+v4JEyZg1KhRCA0N1S5p7dy5E6GhoRg1ahQmTJjQZLITHx8PR0dHvPLKK9p7kpOTMXfuXMTHx7Pe\npgX+3o7wcLXDiexrKFHeafF+MzMzbNwYB2/vHli16gMkJv6ghyh1o6fcGxZSCxYVExHp2c3Kcnyc\nuhnFt67jsZ4jMdL7wTa9v12H+K1cuRJbtmxpz1sBABs3bmzT0tTu3bvbPRYAxMTEID8/H8nJyVAo\nFNrlMWqZZlv4Z4nZOHSyEH9/sFeL73F27oL4+B34619HY/bsmUhKOgRf3z56iFZYFlJz9Jb3RFZJ\nDhQVSjhY8uRPIiJdu111B+tPxaHo5mU85Dkcj/s82uZntCu5SUtLQ0JCQnveCgANio31gbU17RcW\n1A1fHTqHQ6mF+OuwHrAwN2vxPSEh/fDhh+swa9YMTJ36DyQm/gSZzPjOEvJ38kVWSQ5ySs7hfje2\nYiAi0qXK6kpsStuGi4o8DOl2P57u80S7isjbldwoFAosWrSoyesSiaTZ3TWsdjcuVpZmeHCAO/b+\nloff0q/gL/3dW/W+p56aiNTU37Fx43rMmTMLcXGfQyrVybmROuPn3Bs4D2SXnGVyQ2QAJODPD1NV\nXVON+PQvkF1yFv1dgjE54GlIJe37mdGu5MbLywtr1qxpssXB22+/jXfeeafRawqFAvPmzWvPsCSi\nkQM9kXQsH0nH8/FAv+6tTlAXL16K06fT8MMP32Lt2g8RGRml40iF5WXvARtza2Sz7oaISGdq1DXY\nnpWAU8Xp8HfyRXjwP2EmbXmVoCntSm6CgoIQFBTU5HVPT89md0sFBga2Z1gSkbODNQYFdMXRjCvI\nuFiCYJ/WNcm0sLDApk1b8eijD+H995ciJKQfRo5s+/qpWMykZvBz7I1TxekovnUDLjam0RyUiMhQ\nqNVqJJz5Bscu/w4fB2+8EDIVFmYWHXpmu+Z71qxZ0+z1ln6rb+n9ZJgeDa1NWJNSWt6GX5erqyvi\n47fD0tIS//rXDFy4cF4X4emMv3NtMXT2jRyRIyEiMj3fnv8RvxQmw8O+O2b3nw5r8+b7RrWGcRVA\nkKh8ujvA11OOtPPXUVR8s03vHTBgIFasWI2yslJMmzYZN2+27f1iCrib3GSVMLkhIhLSvtxD+DH3\nJ3S1ccHLA2bA1sJWkOcyuaE2eXRQ7ezN/uNtm70BgGefnYzw8BnIzEzHvHkvtdjSwVB0tXGBk5Uj\nskvOokZt3KcuExEZiv8V/ob/nvsBTlaOmHPfTEGP22hXctPSNvCWfmh1ZBs5iWugnytc5NZIPn0Z\nqluVbX7/0qX/xuDBQ/Hf/+7G+vXrdBCh8CQSCfydfXGzshwFqiKxwyHq1LhXyjQcv3wSO7O/hr2F\nHeYMmAFnaydBn9+u5CYxMbHZ6y3V3LT0fjJcUqkEo+73REVVDQ6dLGzz+y0tLbFly+dwc+uGpUsX\n4+efD+ogSuEFOmnqbtiKgYioI9KKM7Atcyesza3w8oCZcLPrKvgY7dotdfjwYURERDR5/fTp0ygo\naLoXkaYbNxmnv/R3x39/vYADvxdg7BBvmJu1LUd2c3NDXNznePLJcXjxxXAkJf0Mb+8eOopWGH7O\ntX2msm7kYHSPh8UNhojISJ0pOYvNp7fDXGKG2f2nw0vWunPT2qpdyQ1Qe0qxXC5v9JqDgwPy8vIa\nvVZW1nJ3aTJsNlbmeLC/O5JS8pGSeRVhfbu1+RmhoUPw3nsrMH9+JMLDn8N33yXBxsZGB9EKw8FS\nBg/77jhbdgEV1ZWw7OA2RSJqJx4Ca7QulOXh0z+2Amo1Xug/Db3kPXU2VrvPuelIb6bp06e3+71k\nGEbd74l9x/ORlJKPocFu7Tp1+vnnw3Hq1Els374NUVFz8fHHGw369OoApz4oVF3C+bKL2h1URETU\nsiLVZaw/tQWVNVWI6PscAp39dDpeu2puOtpJu7kDAMk4uDjaYKCfK3KvKHEmv7Rdz5BIJHj//ZUY\nOPB+JCR8iS1bNgocpbA0591k8bwbIqJWu1pejHWpsSivuoXnAp7BANe+Oh+zXclNVFTHjtDv6PvJ\nMLT3UL+6rKysEBe3HS4urli06A0cOXJYqPAE5+voA3OJGbJ53g2RaAx3bpcaU3K7FOtSY6GoUOIZ\nv/EY0v1+vYzLc26o3Xw95PDpLkNqTjGulJS3+znu7h7YsuUzSCQSREQ8j6Kitu/C0gcrM0v4yHsg\nX1kEVaXxHEJIRCQGZYUK61I348btEjzRawwe9hyut7HblNwEBgbiww8/1EkgK1eu5HKVkZFIJBgd\n6gU1gP3Hm94d1xphYcMRE/MeiouvYfr053Dnzh1hghRYgHMfqKHGGTbSJCJq0q2qW/gkdTOulF/F\nSO8HMabHI3odv03JjVqt1umpssZyYi39aZB/VzjJrPDrH5dQfrvth/rVFRHxIp555ln8/vsJvP76\nawb534O/E+tuiIiaU1FdgQ2n4pGvKsJw9yH4e+/H9b5ZpM27pTZv3ozNmzfrIhYyQuZmUoy63xMJ\nh87hUGoRxg1t/3k1EokEK1euQVZWJnbs+AwDBgzE1KmGtbOuh4MnbMyt2USTiKgRVTVV2JT2Gc6V\nXcT9XfvjWf+/i7ILtk3JDZeNqDEPDXDHN8kXse94Ph4N9WrzoX512djYYOvWHRg9+kG8+eZ8BAUF\nIzR0iIDRdoxUIoWfky9OXTuN4lvX4WLTReyQiDoZlhQbquqaamxN/z9k3jiDvl0CMDXoWUgl4pT2\ntim56cjZNmS6bK0t8NDdQ/2OZlzB8JDuHXqel5c3Nm3aiokTn8T06VOwf/8vcHNr+0GBuhJwN7nJ\nupGDBzyY3BAR1ahr8EX2Vzh5LQ19HHshou8UmEnNRIuHu6VIEKMHeUEqkSDxWJ4gtTIPPvgwFi2K\nwZUrlxER8TwqKioEiFIYmgP8skrYZ4qISK1WY3fOd/jt0nH0kHnhX/2miX6KO5MbEkQXuTUGB3ZF\n4bWbOH3hhiDPnD17Dp58cgKOHfsNixa9LsgzheBq4wInK0ecuXEWNeoascMhIhLVDxf24WDBr+hu\n54bZA6bD2txa7JCY3JBwxgz2BgAkHm28r1hbSSQSfPTRJwgMDEZ8/Gb83/9tF+S5HSWRSBDg3Ac3\nq8pRoCwSOxyiTsWQW7R0Rj/l/YIfLu6Hi7Uz5gyYCXsLO7FDAsDkhgTUo5sMgT2ckJlbgtzLSkGe\naWdnh61bd0Aud8SCBfOQmvq7IM/tqD+Xprhriog6p+SiY/jq7HeQWzpgzn0vQG7lIHZIWkxuSFBj\nh9TO3vx4TJjZGwDw8emFjRu3oKKiAuHhz+HatWuCPbu9/J18AfC8GyLqnH6/+ge+yPoKdha2mHPf\nTLjYOIsdUj1MbkhQfX2c4eFqh2OZV3G97LZgz33kkdF4441FKCwswAsvTENVVZVgz24PmaU9POy7\n41zZRVRUd+zwQiIiY5J+PQtb0/8PVmZWeLn/DHS3cxM7pAaY3JCgJBIJxg72Ro1ajX3H299QszFz\n576GceOewOHD/8M77ywS9NntEeDcB1U1VThbel7sUIiI9CKn5Dxi0z6DVCLBrP7h8HbwFDukRjG5\nIcENCXKDo70lfj5V1OGWDHVJJBJ8/PGn8PPzx8aNn+Crr3YJ9uz2CHL2BwBk3jgjahxERPqQpyjA\np3/Eo0atxsyQ5+Hr6CN2SE1ickOCMzeTYtQgL9ypqMbPqcLuJrK3l2Hr1i8gkzng1VfnIC3tD0Gf\n3xa95T1hIbVABpMbIjJxl25ewcenNuNOdQWmBf8DwV0CxA6pWYImN0899RTi4uKgUqmEfCwZoYcH\nuMPK0gz7juejqlrYs2B8ffvgk0824datWwgPn4wbN64L+vzWsjCzQB+nXrh88wpKbpeKEgMRka4V\n37qBdSdjcbOyHP8MeAoDu/YTO6QWCZrcpKenY8WKFQgNDcXTTz+NhIQEJjqdlKYlQ6mqAkczrgj+\n/LFjx+G11xYiLy8XL744HdXV1YKP0RpcmiLSLwl7S+lV6Z0yrDu5CWUVCjzl+1cMcx8sdkitImhy\nk5KSgiVLlmDo0KE4ffo0Fi1ahNDQUERERGDfvn1CDkVGYNQgT0glEvwoUEuGe82f/wYefXQsfv75\nIN57L0bw57dGoLMfAHBpiohMjqryJj5O3Yzi2zcwrucoPOL9oNghtZqgyY1MJsOkSZMQHx+PlJQU\nrF69GkOHDsXhw4cxZ84cBAYGYt68efjtt9+EHJYMlIvcBoMDu6Lg2k2kC9SSoS6pVIpPPtmEXr16\nY926j/DNN18LPkZL3Gxd4WzthOwbOWzFQEQm41bVbXySugWXbl7BCM8HMM5ntNghtYnOCoplMhnG\njh2L+Ph4ZGVlYffu3XjmmWeQmJiI8PBwDBkyBEuWLEFhYaGuQiADoG3JIOChfnXJ5Y7YuvUL2Nra\n4ZVXZiMzM0Mn4zRFIpEg0NkP5VW3kKsQdus7ETXERSndq6iuxMY/tiJPWYCh3QdhQp+/Gl3bC53v\nljpy5AjefvttREZGYteuXVCr1XjmmWcwZMgQfPnllxg1ahTmzZvH2hwTpWnJkHFRuJYM9woICMS6\ndRtQXn4T06b9E2Vl+i3uDeLSFBGZiKqaKmw5/TlySs/jPtcQTA54GlKJ8W2sNtfFQzMzM/HDDz9g\n165dUCgUUKvVCAoKQkxMDCZOnFjv3tjYWKxatQoKhQJbtmzRRTgksrFDvJGZW4IfU/LwwhPBOhnj\niSeexCuvvIq1az/ErFkzsH37Lkil+vlA+jv7QiqRIvP6GTxuZFO3REQa1TXV2Jr+fzh9PQuBzn6Y\nGvwPo0xsAIGTm4SEBMTGxiI/Px9qtRoODg6IiIjApEmT4OXl1eh7Zs6cifz8fCQkJAgZChkQbUuG\njKt4+qHecHaw1sk4b7yxCH/8kYr9+5OwYsX7WLjwLZ2Mcy8bcxv0dPDGhbJclFeWw9bCVi/jEhEJ\npUZdgx1Z/8HJa2no49gLL4Q8DwupTuY/9ELQlGzRokXIy8tDWFgY1qxZg2PHjiEqKqrJxEajoKAA\nMplMyFDIgEgkEowJrW3JkJSiu7oUMzMzbNwYB2/vnli16gPs3fu9zsa6V5CzH9RQI6vkrN7GJOqU\njKz2wxio1WoknPkGRy+fQE8Hb/yr3zRYmlmKHVaHCJrcREVFISUlBXFxcRgzZkyr3/fOO+/gwIED\nQoZCBmZosBucZFb4+VQRbgrYkuFeTk7O2Lp1B2xsbPDSSy8gJ0c/dTCBXWrrbjKvZ+tlPCIioXxz\nPhG/FCbDw747ZvefDmtz3cyu65Ogyc2zzz7b4gxMUlJSg+JhLy8vztyYOHMzKUbfbcnw0++63SHX\nt28IPvxwHVQqJaZN+yeUSoVOxwMAb5kn7MxtkXHjjE7O9CEi0oUfL/6EpNyD6GrjgpcHzICdiSyr\nC5rchIaGIi4ursnrSqUS0dHR2LVL3IaHJI6HBrjDxsoc+4/no6JStycKP/XURLz44kvIyTmDl1/+\nF2pqdHsGjVQiRYBzH5TeKcPl8qs6HYuISAg/FyTjm/OJcLJyxJz7ZsLB0nQmGQRNbtRqdbO/tcpk\nMoSFheH77/VXC0GGw8bKHI8M9ICyvBKH0y7pfLy3316K4cP/gr17v8OaNat0Pp7mtGIuTRGRofvt\n0nHsOvNfyCzt8cp9M+Fs7SR2SIISfI9Xcwf9FBQUICMjAxkZ+j1ojQzHqEFeMDeTIvFYHqp1PJti\nbm6O2Nht8PDwxL//vQwHDiTpdDxN3Q3PuyHSHZYTd9zJq2nYnpkAW3MbzBkwE11tXcUOSXAd3ucV\nEBBQL6FZsWIFVqxY0eT9arUawcG6OeuEDJ/czhIPhHTDodQinMi+hsGBbjodz8XFBfHx2/HEE2Pw\nr3/NwI8/HkSvXr11MpajlRzudt1wtvQ8KqorYWlmoZNxiIjaK/16NuLTv4ClmQVeGhABD/vuYoek\nEx1ObsLCwrTJTXJyMjw9PZvc+i2TyRASEoJJkyZ1dFgyYmOGeOPnU0X44bdchAZ01fmx3gMGDMSK\nFavxyiuzEB4+Gd9/vx/29vY6GSvQ2Q9F+ZdxrvSCdiaHiMgQ5JScR2zaZ5BKJPhXv3D0dPAWOySd\n6XByEx8fr/1zQEAAnn32WURERHT0sWTC3Jxscb9/VxzPuoqMiyUI9nHW+ZjPPjsZqam/Iy4uFvPm\nvYxNm+J1klQFdvHDgfxfkHEjm8kNERmMXEU+Pv0jHtXqarwYMhV+TrqZwTYUgtbcTJw4EUFBQUI+\nkkzUuKG1vzH88Fuu3saMiXkfgwcPxZ49u7F+/TqdjOEr94Gl1AIZLComIgNRpLqMT1K34E51BcKD\n/4m+LoFih6RzgiY3MTExCAsLE/KRZKJ6dnNAYA8nZOaW4OJl3Z9DAwCWlpbYsuVzdOvWHUuXLsbP\nPx8UfAwLMwv4OfnicvlVFN+6IfjziYglxW1xtbwY61JjcbOqHP8MeBoDu/YTOyS9aPeyVGRkJCQS\nCT766CPta6tWtW67rUQiwauvvtreoclEjBvaA5m5JfjhtzzMfrKvXsZ0c3PDli2f4cknx+HFF8OR\nlPQzvL17CDpGX5cAnL6eiYzrWXjQc5igzyYiHpLZWiW3S7EuNRaKCiWe7vM3DHMPFTskvWlXcqNU\nKpGYmNgguYmNjW3V+5ncEAAE9XSCt5s9TmRfxZWScrg56edkzNDQIXj//ZWIipqL8PDn8N13SbCx\nsRHs+UHOAQCAdCY3RCQSZYUK61JjceN2Cf7qMwYjvB4QOyS9aldyI5PJsGbNmgav7969u8MBUech\nkUgwbmgPfLonHT8ezcPzYwP0Nvbzz4cjNfV3bN++Da+99go++WSTYAXGXWyc0N3ODdkl57glnIj0\nrryyHOtSY3Gl/BpGeT+EsT0fETskvWv3slRjjTFZTExtdb+/K1wdrfFr2mWMf8AHcnsrvY39/vsr\nkZmZjv/8Zyfuu28gZs6cJdizg7sEYH/ez8gpPY/gLv6CPZeos+OiVPNuV93B+lPxKFRdwgMeQ/Fk\n73E6P27DEAlaUPzUU08hLi4OBQUFQj6WTJiZVIqxg71RVV2D/Sf0+9+NlZUVtmz5HC4urli8+E0k\nJ/8q2LODu/y5NEVEpA8V1ZXYlLYNFxS5CHW7D5P8nuyUiQ0gcHKTnp6OFStWYPTo0Xj66acRFxfX\noAM40b2Gh3SHg60FDv5eiFt3qvQ6tru7B7Zs+QwSiQQzZkxFUZEwHct7y3vC2swK6cWZ7BJORDpX\nXVON1cmbkV1yFv1cgjElcCKkEsE7LBkNQb/ylJQULFmyBEOHDsXp06exfPlyhIaG4umnn0ZCQgIT\nHWqUpYUZRg7yQvmdKvycWqT38cPChiMm5j0UF1/D9OnP4fbt2x1+ppnUDAHOfii+fQNXy68JECUR\nUeNq1DX4LHMnjhf9gQCnPpge/E+YSc3EDktUZkuWLFki1MOsrKzQt29fPPnkk5g6dSo8PT1x+/Zt\n/P777zh48CBiY2Nx8uRJVFRUsL+UDpSXV4gdQrt5utrhp98LkX9VhZH3e0Iq1e9U6n333Y+8vFzs\n35+Eq1evYMyYxzo8nVtRXYE/ijPgYuMMH7mw282pITs7K6P+DFDrXC6/it+vngIAPO4zWuRoxKdW\nq/Fl9tc4evkE/Lv0wosh4bA0sxQ7LL2ws2u6RlNnc1YymQyTJk1CfHw8srKysGbNGkRERCAtLQ1v\nv/22roYlI2VnbYGH+rujRHkHR9Iv6318iUSCFStWo1+/Adix4zN89ll8y29qQdDdQuJ0nlZMRDqg\nVqvx9dnvcbjoKDzt3fH6gy/BqpMkNi3R+YKcSqVCUlIS9u7di4SEBCgUCtTU1Oh6WDJCj4Z6wUwq\nQeLRPNSIUKdiY2OD+PjtcHZ2xptvzkdKytEOPU9u5QAvmQdySs/jdtUdgaIk6uRYw6aVePEADuT/\nAjfbrnh5wAzYWernrDBjoJPkRqVSISEhAREREQgNDcXcuXORmJgIDw8PxMTEICUlRRfDkpFzdrDG\n0GA3XLpejlM5xaLE4OXljdjYbaiursb06VNw5UrHZpGCuwSgWl2N7JKzAkVIRAT8lP8/fHchCV2s\nnTBnwAzILO3FDsmgdLgreF0JCQlITExEcnIygNops6CgIIwbNw6TJk2CTCYTcjgyQY8N6YHDaZfx\nw9FcDOjjIso2xr/85SEsXrwUS5a8henTp+Drr7+HpWX7pnqDuwQg8eIBpF/PQn9X1pkRUcclFx3D\nVznfQm4pw5wBL8DJ2lHskAyOoMnNokWLAABeXl6YNGkSxowZAy8vLyGHIBPn7mKHAb4uSD1bjJyC\nMvh5ifOhnTXrZZw69Tu+/vorREcvxPLlH7X8pkb0dPCCnbkt0q9nQa1Wd9ozJ4hIGCeupOKLrK9g\nZ2GLlwfMhKttF7FDMkiCLkvNmDED+/btw759+zBjxgwmNtQu44bW7iz64bdc0WKQSCT48MOPERgY\njK1bt+CLLz5v13OkEikCu/ih9E4Zim7qv1CaiEzH6eJMbM34ElZmlni5/wy423cTOySDJWhyExUV\nxYSGOszXU44+nnL8ce468q+KdzaSnZ0dtm7dAbncEQsWzMPJkyfa9RztacXFPK2YiNon60YOYk9/\nDjOJGWb1nw5vB0+xQzJo7V6WioyMbNAVfNWqVa16L7uCU0seD+uJ1Qmn8MNvuXjxb+LVqvj49MLG\njVvwj388jfDw57Bv3y9wdXVt0zOCuvhDAglOX8/Eoz1H6ChSos6hM+6VOld6ERv/2Aqo1Xix/zT4\nOvqIHZLBa1dyo1QqkZiY2CC5iY2NbdX7mdxQS0J6OcO7qz2OZV7Bk3/xgZuTeFscH3lkNN54YxHe\nezkG7RgAACAASURBVC8GM2dORULCHlhYtL7Tt72FHXo6eOOCIg+qypuwt7DTYbREZEpyFflYfyoO\nVepqzOw7BYHOfmKHZBTaldzIZDKsWbOmweu7d+/ucEBEQG0CPC6sBz7dk47Eo3mYOjZA1Hjmzn0N\np06l4vvvv0FMzCIsXfrvNr2/n0sQLihykXE9G4O7DdRRlERkSgpVl/BJ6hbcqb6DacH/QD/uuGy1\ndi9LjRkzpsFrQUFBHQqGqK5B/l3R1ek8Dqddwt+G+8BJ1vRR27omkUiwbt0G5ORkY+PG9ejXbwCe\neebZVr+/r0sg9pzfiz+KM5jcEFGLrpRfw7rUWNysKsdzAc9gkNsAsUMyKoIWFLemMWZSUhIbaFKr\nSKUSjBvaA1XVaiSl5IkdDuztZdi69QvIZA6IipqLtLRTrX5vdzs3uFg7I/N6Nqpq9Nv5nIiMy/Vb\nN7D25CYoK1SY6PckwtxDxQ7J6Aia3ISGhiIuLq7J60qlEtHR0di1a5eQw5IJCwvuBieZFQ6dLILq\nVqXY4cDXtw8++WQTbt26hfDw53DjxvVWvU8ikSDEJQi3q+8gp/S8jqMkMl1qEy8pLr1ThrUnN6H0\nThme7D0OD3kOEzskoyRocqNWq6Fupu+HTCZDWFgYvv/+eyGHJRNmYS7FmFAv3KmsxoETBWKHAwAY\nO3YcoqJeR15eLl54YTqqqlo3ExPiUrtsm1acqcvwiMhIKStUWHsyFsW3b+CxnqMwusfDYodktATv\nLdXcCawFBQXIyMhARkaG0MOSCXtwgDvsrM2x/3g+blcYxpJOVNTrePTRsfjll4N4772YVr3H19EH\nNubWSCvOaPaXACLqfG5WlmNdaiyulF/FSK8H8bjPaLFDMmodbr8QEBBQL6FZsWIFVqxY0eT9arUa\nwcGs+KbWs7Y0x+hBXvjvrxfwc2oRxgz2FjskSKVSfPLJJowZMwIff7wa/fsPwPjxE5p9j5nUDEHO\n/jhx9RSKbl6Gh313PUVLRIbsVtVtfHJqCwpVl/CAx1D83fdxtmrpoA4nN2FhYdp/hOTkZHh6ejZ5\nSrFMJkNISAgmTZrU0WGpk3nkfk/sPZaHH4/l4ZGBnrAw10lD+zaRyx2xdesXGDv2Ecyd+xL8/AIQ\nGNj8jsF+LkE4cfUU0oozmNwQESqqK/DpH/HIVeRjSLf7McnvSSY2AuhwchMfH6/9c0BAAJ599llE\nRER09LFE9djbWGDEAA8kHstD8ulLeGiAh9ghAQACAgKxbt2niIiYgmnT/omkpEOQy5tu9hnUxR9S\niRR/FGdgbM+ReoyUiAxNZU0VNqV9hrOlF3Bf136YHPA0pBLxf3EzBYJ+FydOnMizbkhnRod6wdxM\ngr1H81BTYzg1K088MR5z5szDhQvn8dJLL6CmpqbJe20tbOEr90GuIh9ldxR6jJKIDEl1TTXiTu9A\n5o0z6NslANOCnoWZ1EzssEyGoMlNTEwMwsLChHwkkZaTzArDQ7rjasktHM++KnY49bz55mI89NAI\nJCUlYtWqD5q9N8S19heA09e5a4qoM6pR12Bbxpf4ozgd/k6+mNF3CsylHV5IoTrYOJOMymNDvPHL\nqSJ8fyQXoQFdDWZt2szMDBs3xmH06IewYsX76N9/AB599LFG7w3pEoSvcr5FWnEGhrsP0XOkRCSm\nGnUNvsj6CieunkIveU+82G8aLMxa36uOWoeNM8modHWyxeBANxzNuIK089fRr7eL2CFpOTt3wdat\nO/D446Mxe/YLSEo6iF69fBvc52rbBd3s3JB1IwcV1RWwNLMUIVoi42TMxyio1Wr8J+dbHLmUAm+Z\nJ2b3D4cVP/86wcaZZHTGDe2BoxlX8N2RXINKbgAgJKQ/Vq5cg5dffhHTpk3GDz8cgL29fYP7+rkE\nISn3ILJLzmoP9yMi06VWq/HN+UT8XHAY7nbd8NKACNiY24gdlsli40wyOl5d7dG/dxecOncdZ/JL\n4efV9O4kMUyc+A+kpv6OzZs3Yt68l7FpU3yD5bMQl0Ak5R7EqWvpTG6IOoHEiz8hKfcgutq64OUB\nM2FvYSd2SCZN0ILiI0eOYNWqVfUaY6pUKkRERCAwMBCBgYH48MMPhRySOqnHw3oCAL47clHMMJr0\nzjvvYciQMOzZsxuffLK2wfWeDt5wsJQhrTgD1TXVIkRIRPryU94v+O7Cj3C2dsIrA16A3Eomdkgm\nT9Dk5ssvv8SuXbvqTcP//e9/R3JyMsLCwhAYGIjY2Nhmm2sStYavpxz+Xo44ff4Gci8rxQ6nAQsL\nC2ze/Bm6deuOZcvexi+/HKp3XSqRop9LEFSVN3G+7KIoMRKR7v2v8Dd8dfY7yC0dMPe+F+BkbVgz\nzaZK8JmbulvBf/zxR+Tn52PMmDGIi4vD7t274enpycaZJIjHw3oAAH74LVfkSBrn5uaGLVs+g5mZ\nGV54YRry8/PqXR/gGgIASL12WozwiEjHjl46gZ3ZX8Pewg6v3PcCXGy6iB1SpyFocqNQKOq1Xjh8\n+DAkEgnGjRunfS0sLIyNM0kQwT7O8Hazx/Gsq7h8o1zscBoVGjoE7767HDdu3EB4+HO4deuW9lof\np16wMbfGqWvpRr0DhEi/jOOzcvJqGj7P3AUbc2vMGTAT3ey6ih1SpyJocuPg4ADF/7N352FRle0D\nx78z7NuAIiDCuCKyKeIOmmmJYKamlpZW7ktWLqXV269stddyedV2N2yxBI1SK3HNLMFdQEBcAGVR\nFhEY9m3m94dJkRvqGc4Az+e6vJJhznnuZM5wz3Oe5741f1ddjYqKAiAgIKDmsfT0dFQqlZTDCk2U\nQqHgUf+26IAdBjp7AzBhwmTGjXuG2NhoXnllXk0iY6w0xsfek7zyfNIKM2SOUhAEqcRdOU1I/HeY\nGZnyfNcpuNq0kjukJkfSkojBwcGEhYVha2tLamoqaWlpBAcH11qDExcXR+fOnaUcVmjCurk74NTc\nksi4TEb0a0dzlbncId1AoVCwePEyEhLiCA39Dj+/7kyePA2Arg4+HM06SXROHK1VrjJHKgjC/Tpz\n9Txr4r5BqVAys8sk2qpayx1SkyTpzM2CBQvw9PRk9erVRERE4OXlxfvvv1/z/bCwMDQaDVOnTpVy\nWKEJUyoVPNKnNdVaHRFHUu98gEzMzc1Zv/5b7O3teeONVzl8+BAAnvadMFEaEyPW3QhCg5dccIEv\nTm0AnY4ZnSfQsVl7uUNqsiRNbmxsbAgPD2f37t3s3r2b8PDwWrM2Q4YMISQkRPSfEiTl792S5ioz\nDkRfQlNcIXc4t+TqqmbNmq/Q6XRMmfIMWVmZmBmZ4tW8E5kl2WQWG1a/LEEQ6u6CJpVPo9dRpa1i\nss/TeNq7yx1Sk6aX3upqtbrWwuLrbGxsRGIjSM7YSMmQ3m2oqNKy62ia3OHcVr9+/Vm48D2ys7OY\nPPkZKioq8HXwARCzN4LQQKUVZvBJ9DrKqyuY5D0OXwdvuUNq8vSS3AhCfXugizO2VqbsPZFOUWml\n3OHc1syZzzNy5GiOHj3Mm2++hk8LT5QKJTE58XKHJggGz9D2Sl0qyuTj6DWUVZXxrNdYujl2kTsk\nAYkXFAPs2rWLX3/9lcLCQvLz82/6HIVCwZYtW6QeWmjCTE2MCOrVmrDfzrP3eDoj+rWTO6RbUigU\nLF/+CYmJiYSErMXPrzvunTqQmHeOvLJ8UeRLEBqIzOJsVp1cTXFlCeM9nqBXy25yhyT8RdLkZu3a\ntSxbtuyONTv+3WdHEKQwwK8Vvx66yJ5jaQzuqcbCTPLcXTJWVlZs2LCRwYMHsGDBXN5dtxSMISYn\nngHqvnKHJwiGy0BqQmWXXGHVyS8prCxirPtIAlr1lDsk4R8kvS0VGhoKwMqVKzl69CiJiYk3/XP6\n9GkphxUEAMxNjQnsqaa4rIp9J9LlDueO2rVrz+efr6GiooKVry6mXFNKdM4pucMSBOEOckuvsurk\nagoqChndcRj9XcVaUkMjaXJzvdVCUFAQNjaiMZhQ/x7u5oqFmTE7j6RRXmH4DSkHDQrilVde51JG\nBjGf/cnZ3CQKK4rufKAgNFUyz/znleWz8uRq8srzGdFhCA+pH5A1HuHmJE1uvLy8sLW1lfKUgnBX\nLM2NGdTdlaLSSn6PuSR3OHUyb94CgoMf4WJ0Eqc2HRKzN4JwOzLelioo17Dq5Gpyy67ySLtABrcZ\nKFsswu1Jmty8//77REREkJiYKOVpBeGuBPZUY2ZiRMThi1RWGf7sjVKp5JNPvqRt+/ac2R7Dt5u/\nkTskQRD+pbCiiFXRa8guvcLgNgN5pO0guUMSbkPSFZc7duzAxcWFkSNH4u3tjbf3zff6KxQK3n77\nbSmHFoQa1hYmDOzmQsThVP48lclAPxe5Q7ojlcqWb77axMOD+7F92SamDpxET1+xQFEQDEFxZQkf\nR68hsziLh9QPMLx9sNgYY+AUOgnbEXt4eNRtUIVCLCrWg5ycQrlDMBgFReW88kUUKktT/jujD8ZG\nDaOk0+INi1n+yge0VLfij32HsLUV28LrysHBRlwDTcDRzJNsSPgegE8f+kjv45VUlvJx9GpSCzPo\n7+LPGPfHDDaxaWrXgIPDrdf2SjpzEx4eLuXpBOGe2Vqb0d+3FXuPpxMVn8kDXRpGV96ZTz3HL3/+\nyplt0Tz//HS+/noTSmXDSMwEobEpqyrjs5h1pBZmEODckyfcRxhsYiPUJmly4+XlJeXpBOG+DOnd\nmv0nM/gl6iJ9fZxRKg3/TcnOzJYR08fwVcoVdu2KYNmyD1mw4D9yhyUITU55dQWfxYSQokmlV8tu\nPOUxGqVCfNBoKPT2k0pPTycqKoqior+3tRYVFZGebvj1R4TGobnKnH5dnMnOK+VIYpbc4dRZD2c/\nes8ehIOzI0uW/Jddu3bIHZIgGAxdPTRgqKiu5IvYDSQVpNDNsQtPezwhEpsGRvKf1q5duxg9ejSB\ngYFMnjyZU6f+3ta6adMmAgMDycjIkHpYQbipIX3aoFQo+CXyIloDqWx6J10dfTC3sWDo609ibm7O\nrFnTSU4+L3dYgtAkVGqrWBP3NWfzzuPbwpuJXk9hpDSSOyzhLkma3ERFRTF79mw0Gg0vv/zyDW0Y\npk6dio2NDUuXLpVyWEG4JUc7C/p4O5FxpZiTZ6/IHU6d2JnZ0sGuLSUOlby7eDEaTQETJ46vNQsq\nCIL0qrXVrI/bSELuGbztPZjkM14kNg2UpMnNmjVrsLW1Zffu3YwZM+amz/H39yc+XnQ/FurPUP82\nKICfIy/cse+Zoejm6IsOHW0ecGfq1BkkJp5m3rwXGkz8gtDQVGurCUn4ntgr8Xg068g0n2cwURpu\nfzrh9iRNbuLi4ggODgZu3RzT1taWtLQ0KYcVhNtytreih4cjF7MKOZWcK3c4ddLVoTMKFJzIjuWd\ndz6gd29/tm4N59NPV8kdmiA0Olqdlm9Oh3EyOxY3u3bM6DIBEyMTucMS7oOkyY2rq+sdFwxHRUUR\nEBAg5bCCcEePBrQFYPvBhjF7Y2tmg5tdO5ILLlBUXczatV/TsqUz77//FgcO7Jc7PEFoNLQ6Ld+e\n3szRrJO0U7XhuS6TMDUylTss4T5JmtwMGTKEyMhINm/efNPvL1y4kPT09JrZHUGoL2pHa/w6tiDp\nkobEi3lyh1Mn3Rx9ATiRHYuTkxPr1n2NkZER06dPJC0tVeboBEEeUn440eq0bEzcwuHM47RRqXm+\n62TMjc0lO78gH0mTm2nTptGnTx8WLlzI6NGjUSgURERE8NZbb9G7d2/CwsIICgriiSeekHJYQaiT\nmtmbyAuyxlFXfo6dUSqUHM06CUDPnr1ZtOgjrl69yqRJT1NaWipzhILQcGl1Wr5PDOfQ5WO0tnHl\nBd+pWBhbyB2WIBHJt4KHhITw0ksvkZ+fj06nIzQ0lNDQUHQ6He+++y4rVqyQekhBqJN2zip82jUn\nMTWfc+n5codzRzam1ng2dyetMIPM4mwAJkyYzLhxzxAbG80rr8xrELfYBMHQaHVaQs/8SOTlI6ht\nXHix61QsTURi05jopSrRtGnTOHLkCEePHiU8PJyjR49y5MiRW+6gEoT68s+1Nw1BTyc/gJrZG4VC\nweLFy+ja1Y/Q0O8ICVkrZ3iC0ODodDrCzm7lz0uHcbVuxYtdp2FpYil3WILE9Fpy0cbGBi8vL2xs\nbt3cShDqk7vaDs82zYhLucr5jAK5w7mjLg7emBqZcjTzZM0sjbm5OevXf4u9vT1vvPEqhw8fkjlK\nQWgYdDodm89t5Y+MKFysnXnRbxpWIrFplCQv4rds2bIbWi5MmTIFT09PPD09Wb58uZRDCsJdG963\nLQDb/kyRN5A6MDMyxbeFD7llV0nRXKx53NVVzZo1X6HT6Zgy5RmysjJljFIQDJ9Op+OHc9v5PT2S\nVlYtmd11OtYmVnKHJeiJpMnNpk2bCAsLw9rauuaxkSNHEhkZib+/P56enqxZs4b169dLOawg3JVO\nrZvh0dqOuJSrJDWA2ZueLf+6NZV5stbj/fr1Z+HC98jOzmLy5GeoqKiQIzxBqFf30ltKp9MRfv5n\nfkv/E2crJ2b7TcfaVCQ2jZnkMzf+/v41X+/cuZO0tDSCgoJYv3494eHhuLq68ssvv0g5rCDctRH9\n2gGw9aDhz954NHPDxsSaE9mxVGura31v5sznGTlyNEePHubNN1+TKUJBMFw6nY4fk35hX9oftLR0\nZLbfdGxMre98oGDQzqTevqSHpMmNRqNBrVbXfH3w4EEUCgWPPPJIzWP+/v4kJCRIOawg3LWa2Zvk\nqyRdMuzZGyOlEd2cfCmqLOb01bO1vqdQKFi+/BM8Pb0JCVnLpk0bZYpSEAyPTqdja9IO9qYewMnS\nkdl+M1CZijWgDd3xM9ks+T76ts+RNLlRqVRoNJqar6OiogBqVSROT09HpVJJOawg3JPrszfb/rwg\nbyB18O9dU/9kZWXFhg0bsbW1Y8GCucTE3PgcQWgs6npTSqfTsT15J7tT9+No2YI5ftOxNROJTUMX\nc/4KX2yNx8Tk9umLpMlNcHAwYWFhLF++nLlz59bckvrnGpy4uDh8fHykHFYQ7sn12ZtTybkkX9Lc\n+QAZtVWpaWFhT0xOPGVVZTd8v1279nz++RoqKiqYNOlprlxpGB3QBUFffknZxc6L+3CwsGeO3wxs\nzcSH6oYuPuUqn/4Yh5FSwdzHu9z2uZImNwsWLMDT05PVq1cTERGBl5cX77//fs33w8LC0Gg0TJ06\nVcphBeGeDe/71+yNga+9USgU9HLyo1JbSUxO/E2fM2hQEK+88jrp6WnMmDGZqqqqeo5SEOpBHQpX\n/pKymx0X9tLir8TGzsy2HgIT9OlMah4f/xALwIuPd6FT62a3fb6k/dxtbGwIDw+v6fr9z/U3cK33\nlFqtrrXoWBDk5NGmGZ3UdsQmXZu9ad/KcD/d9Wzpx68X9nAk8wS9nbvf9Dnz5i0gJuYkERG/smjR\nO7z11nv1HKUgyGtHyl5+TdmNvXlz5vrNoJm5ndwhCffpfHoBKzbHUq3V8cKozni3bX7HY/RSxE+t\nVt+Q2MC15EckNoKhqVl7Y+CzN46WDrS3bcOZvPNcLbv5TgGlUsknn3xJhw5ufPrpSrZuDa/nKAVB\nPjsv7OPnlJ3YmzdjjkhsGoXEi3ksDT1JZZWWmSN88HVrUafj9FqhWBAaAo82zXD/a/Ym5bJhr73p\n49wDHToOXz5xy+eoVLZs2PAdVlbWzJnzPKdPi92JQuNxq5tSuy/uZ1tyBM3M7JjjNwN7i9vfthAM\n37n0fFZuiUWr1fHcYz507+RQ52NFciMI/KPujYFXLe7m6IuJ0oRDmcdu2zSzUycPVq36nJKSYiZO\nHEdBgeE3ChWEe7Xrwm/8lPQrzczsmNttBvYWd75tIRi25Esa/hcWQ1W19q4TGxDJjSAA4NHaDndX\nW4OfvbEwNsfPsTNXSnM5n3/7RGzYsBG8+OI8UlKSef756Wi12nqKUhDqT8SFfWxN3lGT2LSwsJc7\nJOE+XcwsZHloNOWV1cwY7o1fx7tLbEAkN4IAXNuN9HfdG8OevfF37gHAocvH7vjc119fyIMPDmTX\nrgiWLftQ36EJQj34e8Yy4sJetv91K2put5kisWkE0nOKWBYaTWl5FVMf9aKHh+M9nUckN4LwF482\nzXB3tSXGwGdv3OzaY2/ejBM5sZRVld/2uUZGRnz55XrU6tYsWfJfdu3aUU9RCoL+bU/eSXPzZn8l\nNuJWVEN3ObeYpd+fpKi0kolDPPD3bnnP5xLJjSD8RaFQMPyv2ZvtBy/IG8xtKBVKejv3oKK6gpPZ\nsXd8fvPm9mzYsBFzc3NmzZpOcvL5eohSEPTP3rwZc/1miMSmEcjOK2HJ9yfRlFTyzGB3HvBtdV/n\nE8mNIPyDZ5tmdHS1Jfr8FS5kGu7sTZ+W1+rcRNXh1hRA586+LF26Eo2mgIkTx1NUVKTP8ARBL3Q6\nHckFF2u+vrYrSiQ2Dd2VglKWfH+S/KIKnnzIjYHdXO/7nCK5EYR/+Ofam61/GO7aG3uL5rg3cyOp\nIIXskrq1Whgz5immTp1BYuJp5s174ba7rQTB0Oh0On5K+pWoy0exM7Nlcb+FIrFpBPIKy1ny/Uly\nNeWMfrA9g3u1luS8klYoBti1axe//vorhYWF5OfffPupQqFgy5YtUg8tCJK4PnsTk5RL0qUCOrQy\nzNLt/s49OJt3nkOXjzG8Q3CdjnnnnQ84dSqWrVvD8fX144UX5ug5SkG4fzqdjvDzP7Mv7Q+cLB2Y\n7TcdG1PrOx8oGLSConI++v4kOfllDO/blqH+bSU7t0In4ce3tWvXsmzZsjt+IlQoFJw+fVqqYYW/\n5OQUyh1Co3EmNY8PvzuJd7vmvDy2q9zh3FRFdQWvH1yEidKY9wNex0hpVKfjsrKyCAzsT3Z2FmFh\nP9G//wD9BlpPHBxsxDXQCOl0Ojaf28bv6QdpaeXE7K6iu/etNKRroLCkgo++O0nGlWKG9G7N4wM6\noFAo7uocDg63fh1IOnMTGhoKwMqVKwkICMDGRrwAhYapU+tmeLVtRnzKVc6k5t2xSZscTI1M6d2y\nG/vTD3LqSgJdHTvX6TgnJyfWrfuaxx57hOnTJ7J79wHUammmggVBSlqdltCzP/FnxiFaWbUUMzaN\nRFFpJcs2RZNxpZhB3V3vKbG5E0nX3KSlpREUFERQUJBIbIQGb+QD7QH48Y8Ug12f0s+lDwB/ZBy6\nq+N69uzNokUfcfXqVSZNeprS0lJ9hCcI90yr0/J9Yjh/ZhzCxdqZOX4zRGLTCBSXVbIsNJrU7CIG\ndG3FU4M6Sp7YgMTJjZeXF7a2hrk+QRDuVgcXW7p0sOdsWj4JF2/eqFJuzlZOdLBtR2LeOXJKcu/q\n2AkTJjNu3DPExkbzyivzDDaBE5oerU7LxtNbiLx8BLWNC3P8ZmBtaiV3WMJ9Kim7NmNzMbOQ/r7O\nPB3USS+JDUic3Lz//vtERESQmJgo5WkFQTY1szcHkg32l38/l94AHLx0+K6OUygULF68jK5d/QgN\n/Y6QkLX6CE8Q7opWp+XrhDAOZR6jjY2a2V2nYWViKXdYwn0qKatiWWg0FzIL6dfFmWeDPVDqKbEB\nidfc7NixAxcXF0aOHIm3tzfe3t43fZ5CoeDtt9+WcmhB0Is2LW3o3smB42dyiEnKpatbC7lDuoGf\nQ2e2mGwj6vJRhrYfjImy7pe1ubk569d/S2Bgf95441W8vTvTu3cfPUYrCLdWra3mq4RNHM+OoZ2q\nNc93nYKFsYXcYQn3qbS8iuVh0aRcLqRv55ZMHKLfxAYk3i3l4eFRt0HFbim9aCir5BuajJwiFq47\ngtrRmoWTeur9orwX4ed+Zm/aASZ5j6OH093v7vrzzwM88cQI7O1bsHfvHzg53XvZc7k0pJ0iwo2q\ntdWEJHzPyexY2tu2ZZbvZCyMzeUOq0ExxGvgemKTlKHB37slU4Z6olRK8x5ab7ulwsPDpTydIBgE\nFwdrens5cSghixNncu65kZs+9XXpzd60A/yZceiekpt+/fqzcOF7vPXW60ye/Aw//vgLpqameohU\nEG5Upa1iffx3xOTE4WbXjue6TMbc2EzusIT7VFpexf82x5CUoaGPt5Okic2dSJrceHl5SXk6QTAY\nw/u148jpbH76M4Vu7g71doHWlZOlA+7N3Dibd57M4mxaWt19AjZz5vNERx/nxx9/4M03X+PDD5fr\nIVJBqK2iupJ1cd8Ql5uIezM3ZnaZiJmRSKwburKKKlZsjuF8egF9vJyYOtSrXt83RfsFQaiDls0t\nCejckktXijl8OkvucG7qgb+2hR/IiLqn4xUKBcuXf4KnpzchIWvZtGmjlOEJwg3Kqsr5PDaEuNxE\nPJu785xIbBqF8opqVmyO5Vx6Ab08HZnyaP3N2Fx3zzM3c+fORaFQ8L///a/msWXLltXpWIVCwUsv\nvXSvQwuCLIYHtCUqLpOtf6bQy9MRI6VhfTbwbeGNnZkthy4fZVj7oHtar2BlZcWGDRsZPHgACxbM\nxdPTC19fPz1EKzR1JZWlfB67nuSCi/g6+DDJe9xdLYYXDFN5RTUrt8RwNi2fHh6OTBvmJct75T0t\nKC4sLKRnz543LAwWC4rlZWgLyRqjb3ae4beTGUwa4sEDvq3kDucGERf2sT05gsc7Dmegut89n2fP\nnp2MHz8GFxdXdu36nRYtDG+X2L8Z4mJK4eaKKor5JHoNaUWX6OnkxzOeY+rcPkS4NbmvgfLKalZu\njiExNZ/unRyYMdwbYyP9JTaSLyi2sbFh5cqVNzwuFhQLjd2jAW35I/Yy2w6m0Me7JSbGhjV7069V\nbyIu7GF/+kEedA1Aqbi3+AYNCuKVV17nww8XMWPGZEJDwzE2Fp+qhftXUK5hVfQaMouz6NuqF092\nGnXPr1PBcFRUVrNqSyyJqfl0c9d/YnMnRm/fY8EZNzc33Nzcaj3m4OBQ5z+C9EpKKuQOodGzQdDs\n9gAAIABJREFUMDOmqLSSuJSr2Fmb0s5ZJXdItZgamZJbepUzeedpo3LFyfLer7U+fQKIi4tl377d\nlJWVMWDAQxJGKj0rKzNxDRi43NI8Vpz8kuySHAa69mOM+2MisZGQXNdARWU1H/8QS8LFPPw6tuC5\nx3zqJbGxsrr1jjrxqhKEu/SIfxtMTZRsP3iB8opqucO5wYC/bkftTzt4X+dRKpV88smXdOjgxqef\nrmTbth+lCE9oorJLcvjfic+5UppLcNuHGd1xmN5K7wv150p+KTOX/U78hTy6utVfYnMn8kcgCA2M\nrZUpg3u2pqC4gj3H0+QO5wYu1s50tGtPYt45LhVl3te5VCpbNmz4Disra2bPnsXp0wkSRSk0JZeK\nMll+4nPyyvMZ0X4Iw9oHicSmESgtr+LzrXEA2KvMDSaxAT0kN+np6UyZMoXevXvj6el50z+iHo7Q\n0AX3ao21hQm/HkqlqLRS7nBucH0x8f70+5u9AejUyYNVqz6npKSYiRPHUVCQf9/nFJqOVE06K05+\nQWFFEU90HMHgtgPlDkmQQGl5FctDr7VU6OXpyIcz/Q1qDaKkkSQkJBAYGMjBgwfR6XS4urrW/Pf6\n33U6XZ13VQmCobI0N2aofxtKy6v4Neqi3OHcoHMLL+zNm3Mk8wRFFcX3fb5hw0bw4ovzSElJ5vnn\np6PVaiWIUmjskvIvsPLkakoqSxnv8QQD1H3lDkmQwPXEJunStcrD04d5G1xhU0mTm6VLl2JjY0N4\neDhHjhxh9+7dALz77rvs3r2bI0eOoFKpmDlzppTDCoIsHurmQnOVGXuOp3NVUyZ3OLUoFUoGqPtS\nqa3kQEakJOd8/fWFPPjgQHbtimDZsg8lOafQeCXknuGT6DVUaCuY6P0UAa16yh2SIIF/Jzb1XXm4\nriRNbiIjIxk7dmyt204qlYrCwsKavwcHBxMaGirlsIIgCxNjIx7r156qai1b/0yRO5wbBDj3wtLY\ngt/TI6movv8dFEZGRnz55XrU6tYsWfJfdu3aIUGUQmN0PCuaL2I3oEXHNJ9n7qnfmWB4GkpiAxIn\nNyqVCo1GU+sxV1dXTp06Ves5cXFxUg4rCLIJ8GlJqxZW/HnqMpeu3P/tHymZG5vR3zWAospiIi8f\nleSczZvbs2HDRszNzZk1azrJyeclOa/QePyREUVI/PeYKI15wXcKXRy85Q5JkEBNd+8GkNiAxMmN\nj4/PDYnLkCFD2LlzZ83XO3fuvCEBEoSGSqlUMLp/e3Q6CD+QLHc4Nxjg2hcTpTH7Ug9QrZVm23rn\nzr4sXboSjaaAiRPHU1RUJMl5hYZNp9MRcWEvm878iJWJJXO6zaBjsw5yhyVIoCaxydDI0gTzXkia\n3IwZM4b4+PharRWCg4NJTU1l8ODBDB48mLS0NAICAqQcVhBk1bVjC9xcbDlxNoekSwVyh1OLjak1\n/s49yS3L42R2rGTnHTPmKaZOnUFi4mnmzXuBe+jiIjQiWp2W8PM/sz15J83M7Hip+yxa27jKHZYg\ngRsSm0cNP7EBiZOb4OBgwsPDcXX9+0WtVqtZsWIFWq2W1NRUgoKCWLFihZTDCoKsFAoFjw+49gn1\nh/1JBveL/uHW/VGgYFfqfklje+edD+jd25+tW8P57LOPJTuv0LBUa6v59vRm9qX9QUtLR17uPuu+\nKmMLhqOkrPLaGpsGltjAPTbOFAyTaBoorxWbY4hNymXeGF86t7eXO5xa1sdt5Hh2DC/4TsXT3l2y\n82ZlZREY2J/s7CzCwn6if/8Bkp37bsndNLApqqyuZH38d8ReiaeNjZpZvpOxNrWSO6wmS8proKi0\nkmWh0VzMLDTYNTa3a5wp6cxNVFSU6PYtNFmjH+yAAtiyPwmtgX1mGNTmQQB2XNgr6eyNk5MT69Z9\njZGRETNmTCI93fAqNgv6UVpVxqcx64i9Ek+nZm7M9psmEptGQlNSwZLvT3Ixs5B+XZwNMrG5E0mT\nmzlz5vDmm29KeUpBaDDUjtb08XYiLbuIIwlZcodTS2sbV3zsPUgqSOFcfpKk5+7ZszeLFn1Ebm4u\nkyc/TVmZYdX8EaRXWFHEypNfci4/ma4OPjznOxlzY3O5wxIkUFBUzkffnSQtu4iBfi5MHOLR4BIb\n0MOam/j4eDIyMqQ8rSA0GI890B4jpYLwA8lUVhlWFd9H2gUC8GvKHsnPPWHCZJ58cjzR0Sf5z3/m\nS35+wXDklOSy7PinpBVmEODckyk+T2OiNJY7LEECeYXlLP7uJJeuFDOohytPD3ZH2UB7gEma3CxY\nsAAbGxsmT54sEhyhSXKws+Dh7q5cKShj7/F0ucOppY1Kjbe9B+fykzmbJ+3sjUKh4MMPl9OlS1c2\nbvyab77ZIOn5BcNwUZPGsuOfklOay+A2Axnn8ThKheH0ExLu3ZWCUhZvPE7W1RKG9GnNUw93bNDN\nTSVdULxu3TouXrxIWFgYCoUCLy8vfHx8UKlUtQdVKHjppZekGlb4i1hMaRiKSiv5z5dRaHWweEYf\nbCxN5Q6pxgVNKkuOfUJHu/bM7SZ9G5TU1IsEBvanuLiYbdsi6Nath+Rj3IpYUKxf8blnWBv3DZXV\nlTzhPoIHXUVJD0Nzr9dAdl4JS74/Sa6mnOF92zKiX7sGkdjcbkGxpMlNXRtiKhQKsfBYD8Qbu+HY\ndTSNTXvPMai7K+MCpdudJIVPY9aRkHuGOX4zcNdDkbX9+/fx5JOjaNnSmd27D+DgUD/bgkVyoz+H\nLh9jY+IWlAolk7zH0dXBR+6QhJu4l2vgcm4xSzdFk1dYzqj+7Xk0oK1+gtOD2yU3kt4oDQ8Pl/J0\ngtBgPdTNhX3H0/ntZAYPdXelZXNLuUOq8UjbQBJyz/Brym462rWX/BPagAEP8Z//vMmiRe8wY8Yk\nwsJ+wthYrMloiHQ6HTsv/sb25AgsjS2Y0WUibnbt5A5LkEhGThFLNkWjKa5g7ENuBPVqLXdIkjF6\n++2335bqZA4ODnX+I0ivpOT+myMK0lAqFdhZm3HkdDZ5heX08nSSO6QazcxtuaBJ5UzeedrbtsXB\nUvqaPL17+5OQEM/evbspLS1lwICHJB/j36yszMQ1ICGtTsvms1vZnbqfZmZ2zOk2gzYqUXXYkN3N\nNZCaVciS76MpLKlkfKA7gT3Veo5OelZWZrf8nqQrwerSY2bXrl2iF43QJHTv5ICb67W2DGdS8+QO\np5YR7YegQMFPSb+i1Um/q0uhUPDxx5/j5taRzz5bxbZtP0o+hqA/FdWVrI37lgMZUbhYOzO/x/M4\nWxlOgi7cn5TLGpZ8f5Li0komBHfi4e6NL2mVNLnp2bMn69evv+X3CwsLeeONNwgLC5NyWEEwSAqF\ngrEPuQEQ9tt5gyrs52rTih5OfqQXXeJ4VoxexrCxURESshErK2tmz55FYqJYZ9cQFFUU83H0GmJy\n4nC368C8bjOxM7OVOyxBIufS81m6KZqS8iomD/Xkwa4ucoekF5ImNzqd7rbVT21sbPD39+eXX36R\nclhBMFgdWtnSy9ORlMuFBlfYb1j7wRgrjNievJMqbZVexujUyYNVqz6jpKSYSZPGo9EYVmNRobas\nkhyWHP+E5IILdHf0ZVbXKVgYW8gdliCR+JSrLAuNpqKymhnDvenb2VnukPRG8gIFt1ucmJ6eTkJC\nAgkJCVIPKwgGa/SDHTA2UvDD70lUVlXLHU4Ne4vmPODqT27ZVf7MOKy3cYYNe4wXXphLUtJ5Xnhh\nJlqtYRU3FK45l5fE0mOfcKU0l6A2DzHR+ylRnK8ROX4mh5VbYtBq4YVRnQ1qHaA+3PdWcA8Pj5qE\nRqfT3XHnhU6nw9vbmx9++OF+hhVuQmyDNVxhv50n4nAqjw/owCN92sgdTo2iimLeilqMsdKYt/1f\nxUJPJfSrqqoYO3Ykf/zxO6+/vpC5c6WvYiy2gt+7w5ePszFxCzp0jOs0Gv9WPeUOSbgHt7oGIuMu\ns/6XRExMlMwe3QXPNs1kiE56et0K7u/vX5PQREZG4urqilp981XXNjY2dO7cmbFjx97vsILQoDzq\n34Y/Yy/zc+QF+vq0xNb61qv865O1qRWDWg/g55Sd7Lr4GyM6DNHLOMbGxnz5ZQiBgf3573/fo0uX\nrjz00CC9jCXUnU6n45eU3ey4sAcLYwumd34G92ZucoclSGjfiXS+3XUWK3Nj5o7xpUOrprF+SvIi\nfgsWLGDKlClSnVK4C+JTq2H77UQ63+w6S9/OLZky1EvucGpUVFfw7qGlFFYU8kbv+XrZGn7dyZPH\nGTYsCCsrK3bt+p02bdpKdm4xc3N3Kqsr+TZxM8eyomlh3pznfCfT0spR7rCE+/Dva+CXqAv88Hsy\nKitTXh7bFbWjtXzB6cHtZm4kXXMzZswYvLwM501bEAzJg11dUDtac/BUJsmXNHKHU8PUyJSRbkOp\n0lXzw/nteh3Lz687ixcvIy8vj0mTnqa0tFSv4wk3V1RRzKroNRzLiqa9bRvm93hBJDaNiE6nY8v+\nJH74PRl7lRn/Gd+t0SU2dyJpEb+BAwfe8paUoH+igJlhUygUtLK35OCpTNJziujXxdlg+rc4Wzlx\nLj+Z01fP0k7VGgfLFnobq0uXrmRmXmbPnp1cupTBkCGPSvLvIIr41c2lokxWnVxNRvFlujv6Mr3z\ns1iYiB1RjYGVlRlFxeVs3H2W3UfTcGpmwSvjuuHQrHH+fOutiF9UVBTLli2rVaSvqKiIKVOm4Onp\niaenJ8uXL5dySEFoUDq1bkZPD0eSL2mIisuUO5waCoWCJ9xHoEDBlnPb9LY1/LoPPliCn183wsK+\nJyRkrV7HEv526koCS49/wpWyqwS3ffjajigjE7nDEiRSXa1l3c+n+e1EBq4O1rz2dHfsbfWzScDQ\nSZrcbNq0ibCwMKyt/57+GjlyJJGRkfj7++Pp6cmaNWtuW+hPEBq7MQPdMDVWsmV/EqXl+k0i7oaL\ntTMPuPQhqySH/ekH9TqWmZkZ69d/S4sWLXjzzdc4ckR/W9GFa7cpIi7s48vYr9DqdEz2Hs+w9kEo\nFZJXAxFkUlml5cNvjhEVn0n7VipeHe+HrZWp3GHJRvKZG39//5qvd+7cSVpaGkFBQaxfv57w8HBc\nXV1FET+hSbO3NWdInzYUFFfwc9QFucOpZWj7wViZWPJLym5yS/XbMsLFxZUvvwyhurqaKVOeISvL\nsIocNhYV1RWExH/H9uQI7Mxsebn7LLo7+codliChsooqVm6JIerUZTxa2/Hy2K5YmTftGTlJkxuN\nRlNrzc3BgwdRKBQ88sgjNY/5+/uLIn5Ckzekd2vsVebsOpJG1tUSucOpYW1ixSi3R6moriD07I+3\nrTguhQceeJA333yXrKxMpk2bQGVlpV7Ha2ryyvJZfuJzjmfH0N62La/0fBG1TeMst99UFZVWsuT7\naBIu5NHbuyXzxvhiYSaKL0qa3KhUKjSav3eBREVFARAQEFDzWHp6OiqVSsphBaHBMTUxYuxDblRr\ndWzae07ucGrp3bI7Hs06Ep+byPFs/fSd+qdZs15k+PCRHDoUyTvvvKH38ZqK5IILfHhsFWmFGQQ4\n92S233RUprfeOis0LFXVWjbuOsvrqw+RcllDX5+W/GdCT0yMjeQOzSBImt4FBwcTFhaGra0tqamp\npKWlERwcXGsNTlxcHJ07d5ZyWEFokLp3csCjtR0xSbnEnL+Cr5v+dijdDYVCwZOdRrHoyHK2nN2G\nZ3N3rEws9TreihWfcObMaVav/hw/v+6MHj1Gb+M1djqdjgMZUfxwbjs6dDzRcQQPugYYzM48QRq7\njqax90Q6AIN7qhnzkBtGRmIN1XWS/kssWLAAT09PVq9eTUREBF5eXrz//vs13w8LC0Oj0TB16lQp\nhxWEBkmhUDAu0B0jpYKNu89SXmk4faccLO0Z2i6Qwsoiws/9rPfxrK1tCAnZiLW1DS+99CLx8XF6\nH7MxKq+u4KuEUMLO/oSFsTnP+05hgLqvSGwamXPp+Wz9MwWA/r6tGPuQG0rxM65F0grF16WlpQHc\nUPOmsLCQuLi4WouOBemI6qwN0/W+U48GtGFU/w5yh1OjWlvNkmMfk1Z0iRmdJ9DFwVvvY/76689M\nnDiOtm3bsWvXfuzs6t4Dp6lXKM4uyWHNqW+4VJxJW1Vrpvo8TTNzO7nDEiQWl5LLp+FxVFVrmT7c\nm54efxdfbGrXQL1VKL5OrVbftJifjY2NSGwE4V+G921Lc5UZOw6lcjm3WO5wahgpjXjW60mMlcZs\nTNxCYUXRnQ+6T4888ihz587nwoUUZs2aJjqI11FMTjwfHv2YS8WZ9HfxZ263mSKxaYSi4jJZuTmW\naq2OWY/51EpshNokrVAs1JaWlkZYWBj79u0jNDSUHTt24OPjg61t7cZl8fHxbN26lX379hEZGUlo\naCi2trZ3Xe1ZVGdtmIyNlLSwteBwQhaXrhQT4NPSYG4j2JhaY6Y0IeZKPFklOXR39NV7bAEB/Th+\n/Cj79u1BoVDQt+8DdTquKVYortZWsz15J2Fnf0KhUPC0xxMEtX0II1G/plHR6XREHE7lm11nsTA1\nZt4YX3za39gDrqldA7erUCz2i+lJWloakZGRTJs2reaxiIgIBg0aRHh4ON7e16b44+PjSUtLq/W8\ntLQ0Bg0axMqVKwkODq732IX659exBb4d7IlJyuVQQhb+3i3lDqnGAHU/Tl05zakrCURdPkpAq156\nHc/IyIgvvljH4MEDWLLkv3Tt6kdgoLgO/i2/vIAN8d9zLj+ZFhb2TPN5BlebVnKHJUhMq9Oxac85\n9hxPp5mNGS+N8cXFoWn1iboXIr3Xk4iICMaOHVvrseDgYIKCgpgzZ07NY6GhoSxdurTW89RqNd7e\n3qxevbpeYhXkp1AoGB/ojqmxktC95ygpM5x6L0qFkme8xmBhbM7ms1u5XKz/YnvNm9uzfv03mJub\nM2vWdJKTk/Q+ZkMSd+U0/z2ygnP5yfi28ObVHrNFYtMIVVZV88XWePYcT8fFwYr/e6a7SGzqSCQ3\nenJ9x9i/9e3bl7S0tJp6QAEBAbXqAP3Tv29fCY1bCzsLhvVti6akkh8OJMsdTi3NzZsxzuNxKrSV\nrI37lvJq/U99d+nSlY8++h8FBflMmvQ0xcWGsx5JLlXaKn44t53PY0MoqypjjPtjTOv8LJai8WWj\nU1JWyfLQGI4lZuOutuM/47vRXNU0+0TdC5Hc6ImtrW3NrrF/Pw5/7ygLDg7m3XffrfUcjUZDfHz8\nDTM/QuMX1Ks1zvaW7D+RQfIlzZ0PqEfdHLswwLUvmcVZbDoTrvfqxQBPPjmeSZOmcvp0PC+/PLte\nxjRUOSW5LDv+GfvS/sDRsgXze7wo6tc0UnmF5fx34wnOpOXTvZMDL4/1xbKJt1O4WyK50ZM9e/bU\nWkdz3fWk5vqam5t54403mDp1qlhv0wQZGyl5NqgTOmDDjtNUVRvWbqGRbkNpo1JzJPMEBy/VT7PL\n995bTI8evQgP38yaNZ/Xy5iGRKfTcSTzBIuPriC1MJ3eLbvzao85qMVtqEYp40oxi745RkZOMQ93\nc+W5ET6i6vA90EudG31bsmQJrVu3rvPMRlpaGmvWrMHG5tqe+MLCQtRq9U2TD30bNWoUPj4+N8zW\npKWlERERQWRkJMHBwfc0a9OU6hs0dl9FJPJ79CUee6Adw/u2kzucWnJL8/jw6ErKqsuZ7TcdNzv9\nx3f58iUGDepPXt5VwsN/pk+fG2/lNsYaH0WVxWw68yMns2MxNTLlSfeR9HbuLndYgp4kXszjk/BT\nlJRXMfrB9jzSp81dzcw1xmvgduq9zo0+aDQaIiIiGDVqFGvXrq3Vw+p2IiMjmTRpEtOmTWPBggUs\nWLCgJrEYNWqUPkO+QUREBBqNhvnz59/wvevJVkhICLa2tkyaNKnO/49C4/PEADfsrE3ZfvACGVcM\na62JvUUzJvuMR4eONae+5krpVb2P6ezcirVrv0Kn0zFlyrNkZl7W+5hyi889wweHl3MyO5b2tm14\nvec8kdg0YgdPXWZZaDTlldVMGerJUP+24pbjfTD45Ob6tug5c+ZQUFBwVzMaGo2GOXPm8O67795Q\nM2batGnY2tqycOFCqUO+ZSxLly4lJCTkjo1Dg4ODsbGxqbWrSmhaLM2NeTbIg2qtjg07TqPVGtYE\nq0fzjoxxf4yiymK+iA2htKpM72P6+/flnXcWkZOTzeTJz1BR0TjreZRXV7DpzI98FrOOosoSRrQf\nwrxuz+FgeWNdE6Hh0+l0/PRHMut+OY2ZiREvj+1K387OcofV4Bl8nRu1Ws2ePXtqvr7ZDqRbWbp0\nKba2trfcjTRt2rSaWZ1/Jz+DBg2661hXrlx5y7U0c+bMYeXKlXUuzNe3b18WLlxIfHz8bdfnCI1X\n144t6OXpyJHT2ew9kU5gj7sr6qhvD7j0IbM4i/3pB1kX9y0zu0zEWKnft5Rp057jxInjhIdvZuHC\n/7B48TK9jlffzuensPH0ZrJLr+Bs5cQEr6fE2ppGrLJKS8iO0xyKz6KFrTnzxvjibG8ld1iNgsEn\nN/cjNDT0tjM915OeTZs2sWDBglrf+2dCdb8WLlzI/Pnzb5qkjBo1iunTp9+wePh6EhQXFyeSmyZs\n3CB34lOu8sPvSfi5taCFnWFt+R3l9ig5pbnE5ybydUIoE72fQqnH6rgKhYJly1Zx+nQC69evwc+v\nO2PHjtPbePWltKqMrUk7+CMjCgUKHlb3Z1j7IEyMxA6ZxqqotJJPwk9xNi2fDq1UvDi6CyorU7nD\najQM/rbUvYqMjARubN75byqVip07d+otjjVr1hAcHFwrQdFoNKSlpZGWlkZ8fDwFBQU3HHer5qNC\n06KyMmXcIHcqKrV8tfOMwW2FNlIaMdXnadrbtuV4dgxhZ7fqPUYrKytCQr5FpbJlwYK5nDoVo9fx\n9O3UlQTeP7yMPzKiaGnlxEvdZzGq46MisWnEsvJKWPTNcc6m5dPDw5EFT/mJxEZijTa5iY+PB+6c\nHKjV6pvWo5FCREQE3t7eN9wW27FjR03vqLFjx950dik+Ph6VSnXLW2pC09HH24nO7e2JT7nKgZhL\ncodzA1MjU57rMgkXa2f+yIhia9IOvSc47dt34PPP11BWVsakSU9z9WquXsfTh8KKItbHbeSL2A0U\nVhTxSNtBvNZzDu1t28gdmqBH59LzWfT1cbKuljCkT2tmjvDG1ERs9ZZao01uricsd1q8+++ielKJ\njIysmT26/veIiAhCQ0OJiIioiSs4OJg1a9bcEHtoaCgrV66UNCahYVIoFEwI7oSlmTGb9p4nO79U\n7pBuYGliwQtdp+Jo0YLdqfv54fx2vSc4gYHBzJ//GqmpF3nuualUV1frdTypVGur2Z9+kHcOLeF4\ndgztVK15recchrYfjIme1ywJ8oqKy2TJ99GUlFUxIbgTTwxwQyl2ROlFo72S8vPz7+r5Um+7njRp\nEnBt3c+//fMWVUBAAGq1moULF9bU4UlLS6vVXFMQmqvMeXqwO6u3J7D25wReG9cNpdKw3hRVpjbM\n7TaTVdFr+C3tTyqrKxnbaaRe1+DMn/8a0dEn2LNnF2+99RZz5ryqt7GkcD4/hbCzP5FRdBkLY3Oe\ncB9Bfxd/vf4bCfLTanX8cCCJHYdSsTAz5rnHvPFpJ3a/6VOjTW4KC68VMqprf6abrXu5H2fOnKnz\nc9Vq9Q1F/QTh33p7OXHi3BWOJWaz80gqQ/oY3u0LWzMVc/1m8En0Wv68dJiy6nKe9hyjtxkJpVLJ\nZ5+tITDwQRYtWoS7uw9DhgzVy1j3o6Bcw4/nf+Vo1gkA/J17MqLDEGxMRRPExq60vIrV2+KJScrF\nqZkFsx/vInZE1YNGm9zcbbLSGArm3a5ao9A4zBvXnReW7OPHP1J4oLuadq0Mr7mqAza86/ASiw98\nxrGsaIqqC5nfbyYqM/38IndwsGHbtq306dOHF1+cwdGjR3F3d9fLWHertLKM7Wf2sP3MHsqrymnX\nTM2Ubk/i3qK93KEJ9SAzt5gPvz9JamYhXTs68OqzPbC21O/CYfF74JpGm9zcrTutzWkImlLZ7aZs\nQnAnVmyO5aOvj/HmhB6YGBvmLY3nfKbw7ekwjmfH8NrOxTzXZSItrZz0MpazczvWrl3L+PHjGT58\nBDt27MPaWr5ZkWptNQcvHeHXlN0UVhZhY2rNqE5DCWjVC6VOKa7VJuBMah6f/hhHUWklg7q7MvZh\nN0qLyyktLtfbmKL9wt8M811RAtdvR0l9u0kQ5NalQwse7NqK9JwifvozWe5wbsnUyISJ3k8R3OYh\nrpTm8uGxjzmSeUJv440bN47p05/jzJlE5s59XpZt81qdlmNZ0bx/ZBmhZ3+kQlvB0HaBvN3nVfq5\n9BFra5qI/dEZLN0UTWn5tYXD4wLdMVKKn319arQzN9cX59ZVXdfmCIIhGPuQG6cv5BFxKBWvNs3x\nbtdc7pBuSqlQMqxDMC42rdh4ejNfJWzibF4ST7iPwMxI+un5t956n9jYGLZt+5Fu3Xowa9aLko9x\nM9Xaao5lRbPz4j6ySnJQKpT0dwlgSLuHUZmK2wRNRVW1ltC959l7Ih1rCxOeH+lDp9bN5A6rSWq0\nyY2dnR1w57U012d2GsNtKaHpMDc1ZsYIbz745jhrfk7gncm9sDXgImDdHLvgat2K9XHfEnX5KGfz\nkhjnMRqP5h0lHcfExIQ1a75i0KAHePfdN+nSxZd+/fpLOsY/VVZXcjTrJDsv/saV0lyUCiUBzr0I\najuQFhZiN0xTkl9Uzuc/xXEuvQAXBytmj+6Cg4FVFG9KGu082fVt1HeqXyMqAQsNVTtnFU8M6ICm\nuIK1PyegNbDqxf/maNmCl7s/T2DrAVwty+Pj6DVsPL2ZwooiScdxcnJi3bpvMDIyYvr0iWRkpEt6\nfoCC8kJ+Tt7FG5EfsDFxC3ll+fRz6cPbfV5lvOfjIrGRUWl5FfujM6iorL+6R+fTC3j7nC5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# %load vt_sens\n", "pyplot.figure(figsize=(8, 8))\n", "print \"Setting up network...\"\n", "net = netsim.Network()\n", "psds = {\n", " \"H1\": \"SimNoisePSDaLIGOMidHighSensitivityP1200087\",\n", " \"L1\": \"SimNoisePSDaLIGOMidHighSensitivityP1200087\",\n", " #\"V1\": \"virgo_psd/advvirgo_late_low.txt\"\n", " \"V1\": \"virgo_psd/advvirgo_mid_low.txt\"\n", "}\n", "\n", "for ifo, psd in psds.items():\n", " print \"Instrument {0} will use PSD {1}\".format(ifo, psd)\n", " psd = netsim.parse_psd(psd)\n", "\n", " net.add_psd(ifo, psd)\n", " h = net.horizon(mass1=1.4, mass2=1.4, ifos=(ifo,))[ifo]\n", " print \"{0} range, 1.4 + 1.4: {1:.1f} Mpc\".format(ifo, (h / 2.26))\n", " \n", "h = net.horizon(mass1=1.4, mass2=1.4)\n", "\n", "ligo_asd = numpy.sqrt(net._instr[\"H1\"])\n", "virgo_asd = numpy.sqrt(net._instr[\"V1\"])\n", "freq = numpy.linspace(0, 2048., len(ligo_asd))\n", "\n", "pyplot.plot(freq, ligo_asd, label=\"LIGO, BNS range: {0:.0f} Mpc\".format(h[\"H1\"] / 2.26))\n", "pyplot.plot(freq, virgo_asd, label=\"Virgo, BNS range: {0:.0f} Mpc\".format(h[\"V1\"] / 2.26))\n", "\n", "e = eventgen.Event.event_template(mass1=1.35, mass2=1.35, distance=40.)\n", "e.gen_waveform()\n", "hpf = numpy.abs(e.hp.data.data)\n", "\n", "pyplot.plot(freq, hpf, 'k-', label='GW170817 @ 40 Mpc')\n", "\n", "pyplot.xlim(10, 2048)\n", "pyplot.loglog();\n", "pyplot.ylim(4e-24, 5e-22);\n", "pyplot.xlabel(r\"Frequency [$\\textrm{Hz}$]\")\n", "pyplot.ylabel(r\"strain sensitivity [$\\textrm{Hz}^{-1/2}$]\")\n", "pyplot.legend(loc='upper right');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rates of various source categories\n", "\n", "```\n", "BNS/NSBH: http://iopscience.iop.org/article/10.3847/2041-8205/832/2/L21/meta\n", "\n", "CANONICAL COMMON ENVELOPE FIELD\n", "Belczynski+ 2014\n", "http://iopscience.iop.org/article/10.1088/0004-637X/789/2/120/pdf\n", "(Section 3.1.3, last paragraph on page 7)\n", "“Optimistic\": 5e-9 per Mpc^3 per yr\n", "“Realistic\": 5e-11 per Mpc^3 per yr\n", "\n", "GC\n", "Rodriguez+, 2016: http://iopscience.iop.org/article/10.3847/2041-8205/824/1/L8/meta\n", "\n", "Antonin & Rasio, 2016: http://iopscience.iop.org/article/10.3847/0004-637X/831/2/187/meta\n", "\n", "de Mink and Mandel 2016: https://academic.oup.com/mnras/article/458/3/2634/2589150\n", "\n", "Bartos+, 2017: \n", "\n", "POPULATION III\n", "Kinugawa+ 2014\n", "https://arxiv.org/pdf/1402.6672.pdf\n", "(Section 5, second paragraph)\n", "\n", "Inayoshi+ 2916\n", "https://arxiv.org/pdf/1603.06921.pdf (refers to previous)\n", "```" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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x5UYHVAGOUTBFRMQklMjJ5ebmyR2CS+vp6UNzWyciQwPHPJU9eXIoQoID0dLq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eeONX+OMfr0Gvz8R3vvMszp//Hb780iz1TgKAINi9+hlWVf0Tdu2qwvCwQnr9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w0RH7ZEeOHDmMI0cOCx2DXBwLZSJyCtUNzbhyrQWRoX6QS7yEjuOQ5BIvRCr8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "astro_rates = {\n", " \"BNS\": (rates.BNS_RATES_LOW, rates.BNS_RATES_LIKELY, rates.BNS_RATES_HIGH),\n", " \"NSBH\": (rates.NSBH_RATES_LOW, rates.NSBH_RATES_LIKELY, rates.NSBH_RATES_HIGH),\n", " \"BBH\": (rates.BBH_RATES_LOW, None, rates.BBH_RATES_HIGH)\n", "}\n", "\n", "bbh_models = {\n", " # Pop III\n", " \"Inayoshi+, 2016\": (1e-9, 1e-7),\n", " # field\n", " \"Belczynski+, 2014\": (5e-11, 5e-9),\n", " # GC\n", " \"Rodriguez+, 2016\": (2e-9, 40e-9),\n", " # AGN\n", " # NOTE: No limits, just a single value\n", " \"Bartos+, 2017\": (1.2e-9, 1.3e-9),\n", " # FIXME: NSC?\n", " \"Antonini \\& \\\\\\\\ Rasio, 2016\": (2e-9, 53e-9),\n", " # CHE\n", " \"Mandel \\& \\\\\\\\ de Mink, 2016\": (3e-9, 500e-9)\n", "}\n", "\n", "bns_obs = {\n", " \"Kalogera+, 2004\": 1e-6,\n", "}\n", "\n", "bns_models = {\n", " # pop synth.\n", " \"Dominik+, 2015\": (5e-8, 2e-7),\n", " \"de Mink \\& \\\\\\\\ Belczynski, 2015\": (2e-8, 4e-7),\n", " # r-process\n", " \"Vanigioni+, 2016\": (5e-7, 3e-6),\n", " # kilonova\n", " \"Jin+, 2015\": (8e-9, 3e-8),\n", " # GRB\n", " \"Petrillo+, 2013\": (5e-7, 2e-6),\n", " \"Coward+ 2012\": (5e-7, 2e-6),\n", " \"Siellez+, 2014\": (1e-7, 1e-6),\n", " \"Fong+, 2015\": (1e-7, 2e-6),\n", " # pulsar\n", " \"Kim+, 2015\": (8e-8, 4e-7)\n", "}\n", "\n", "nsbh_models = {\n", " # pop synth.\n", " \"Dominik+, 2015\": (4e-11, 2e-8),\n", " \"de Mink \\& \\\\\\\\ Belczynski, 2015\": (1e-10, 1e-7),\n", " # r-process\n", " \"Vanigioni+, 2016\": (7e-7, 3e-6),\n", " # kilonova\n", " \"Jin+, 2015\": (8e-9, 3e-8),\n", " # GRB\n", " \"Petrillo+, 2013\": (5e-7, 2e-6),\n", " \"Coward+ 2012\": (5e-7, 2e-6),\n", " \"Fong+, 2015\": (1e-7, 2e-6),\n", "}\n", "\n", "nsbh_obs = {\n", " \"LVC+, 2016 90\\% UL\": 3.6e-6, # all in Mpc^-3 yr^-1\n", "}\n", "\n", "matplotlib.rcParams['legend.fontsize'] = 24\n", "\n", "for cat, stat in astro_rates.items():\n", " low, med, high = stat\n", " \n", " rate_prior = rates.generate_rate_prior(low, high)\n", "\n", " pyplot.figure(figsize=(10, 8))\n", " ax = pyplot.gca()\n", " ax.yaxis.tick_right()\n", " ax.yaxis.set_label_position(\"right\")\n", " l, h = numpy.log10(low), numpy.log10(high)\n", " r = numpy.logspace(l - 1, h + 1, 100)\n", " lbl = r\"$R_{{\\textrm{{{0}}}}}$\".format(cat)\n", " pyplot.plot(r, r * rate_prior.pdf(r), label=lbl)\n", " \n", " pyplot.semilogx()\n", "\n", " pyplot.axvspan(low, high, alpha=0.2)\n", " \n", " if cat == \"NSBH\":\n", " i, n = 0., len(nsbh_models)\n", " for lbl, val in nsbh_models.items():\n", " ypos = i / n\n", " i += 1\n", " # FIXME: **Internal screaming intensifies**\n", " pyplot.axvspan(val[0], val[1], ypos, ypos + 0.01, color='k')\n", " yl, yh = pyplot.ylim()\n", " ylbl_pos = (yh - yl) * ypos\n", " pyplot.text(val[0], ylbl_pos, lbl, ha=\"right\", va=\"top\")\n", " \n", " for lbl, val in nsbh_obs.items():\n", " pyplot.axvline(val, color='k', linestyle='-.')\n", " pyplot.text(val, 0, lbl, rotation=90, ha=\"right\", va=\"bottom\")\n", " elif cat == \"BNS\":\n", " i, n = 0., len(bns_models)\n", " for lbl, val in bns_models.items():\n", " ypos = i / n\n", " i += 1\n", " # FIXME: **Internal screaming intensifies**\n", " pyplot.axvspan(val[0], val[1], ypos, ypos + 0.01, color='k')\n", " yl, yh = pyplot.ylim()\n", " ylbl_pos = (yh - yl) * ypos\n", " pyplot.text(val[0], ylbl_pos, lbl, ha=\"right\", va=\"top\")\n", " \n", " for lbl, val in bns_obs.items():\n", " pyplot.axvline(val, color='k', linestyle='-.')\n", " pyplot.text(val, 0, lbl, rotation=90, ha=\"right\", va=\"bottom\")\n", " elif cat == \"BBH\":\n", " i, n = 0., len(bbh_models)\n", " for lbl, val in bbh_models.items():\n", " ypos = i / n\n", " i += 1\n", " # FIXME: **Internal screaming intensifies**\n", " pyplot.axvspan(val[0], val[1], ypos, ypos + 0.01, color='k')\n", " yl, yh = pyplot.ylim()\n", " ylbl_pos = (yh - yl) * ypos\n", " if \"Belczyn\" in lbl:\n", " pyplot.text(val[0], ylbl_pos, lbl, ha=\"left\", va=\"top\")\n", " else:\n", " pyplot.text(val[0], ylbl_pos, lbl, ha=\"right\", va=\"top\")\n", "\n", "\n", " pyplot.xlabel(r\"$R$ (Mpc$^{-3}$ yr$^{-1}$)\")\n", " pyplot.ylabel(r\"$R p(R)$\")\n", " pyplot.legend(loc='upper right')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def get_net_snr(e):\n", " if hasattr(e, \"net_snr\"):\n", " return (e.net_snr,)\n", " else:\n", " #return (numpy.random.uniform(7, 9),)\n", " return (numpy.sqrt(numpy.power(net.snr(e).values(), 2).sum()),)\n", "\n", "def get_redshift(e):\n", " return (e.alpha3,)\n", " #return (astropy.cosmology.z_at_value( \\\n", " #astropy.cosmology.Planck15.luminosity_distance, \\\n", " #e.distance * astropy.units.Mpc),)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Filter functions\n", "def snr_cut(e, snr_thresh=12):\n", " return e.net_snr > snr_thresh" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Injection sets\n", "\n", "Obtained from [those being considered for rates statements](https://www.lsc-group.phys.uwm.edu/ligovirgo/cbcnote/RatesAndSignificance/O2InjectionsForRatesStatements).\n", "\n", "We'll calculate $\\langle VT \\rangle$ for all of them but only \"officially\" display the more interesting ones." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "fnames = (\"bbh_astrophysical_aligned.xml.gz\", \"bbh_astrophysical_isotropic.xml.gz\",\n", " \"bns_astrophysical.xml.gz\", \"bns_broad.xml.gz\", \"nsbh_broad_aligned.xml.gz\", \\\n", " \"nsbh_broad_isotropic.xml.gz\", \"nsbh_delta_1p4_10_aligned.xml.gz\", \\\n", " \"nsbh_delta_1p4_10_isotropic.xml.gz\", \"nsbh_delta_1p4_30_aligned.xml.gz\", \\\n", " \"nsbh_delta_1p4_30_isotropic.xml.gz\", \"nsbh_delta_1p4_5_aligned.xml.gz\", \\\n", " \"nsbh_delta_1p4_5_isotropic.xml.gz\")" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "out_fname = \"rates_injections_O3.h5\"\n", "#out_fname = \"test_O3.h5\"" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "%%bash\n", "#rm rates_injections_O3.h5\n", "#ls *.h5" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "bbh_astrophysical_aligned.xml.gz\n", "105949 events generated, 105949 kept.\n", "(BBH/bbh_astrophysical_aligned) Full year VT: 6.8e+08 Mpc3\n", "N => 3.5e+01 +7.8e+01 -2.6e+01\n", "bbh_astrophysical_isotropic.xml.gz\n", "33309 events generated, 33309 kept.\n", "(BBH/bbh_astrophysical_isotropic) Full year VT: 2.1e+09 Mpc3\n", "bns_astrophysical.xml.gz\n", "106001 events generated, 106001 kept.\n", "(BNS/bns_astrophysical) Full year VT: 3.2e+06 Mpc3\n", "N => 4.0e+00 +9.0e+00 -4.0e+00\n", "bns_broad.xml.gz\n", "106010 events generated, 106010 kept.\n", "(BNS/bns_broad) Full year VT: 7.3e+06 Mpc3\n", "N => 9.0e+00 +1.9e+01 -7.0e+00\n", "nsbh_broad_aligned.xml.gz\n", "105959 events generated, 105959 kept.\n", "(NSBH/nsbh_broad_aligned) Full year VT: 4.9e+07 Mpc3\n", "N => 1.0e+00 +2.4e+01 -1.0e+00\n", "nsbh_broad_isotropic.xml.gz\n", "106006 events generated, 106006 kept.\n", "(NSBH/nsbh_broad_isotropic) Full year VT: 5.7e+07 Mpc3\n", "N => 1.0e+00 +2.8e+01 -1.0e+00\n", "nsbh_delta_1p4_10_aligned.xml.gz\n", "105959 events generated, 105959 kept.\n", "(NSBH/nsbh_delta_1p4_10_aligned) Full year VT: 2.7e+07 Mpc3\n", "nsbh_delta_1p4_10_isotropic.xml.gz\n", "106000 events generated, 106000 kept.\n", "(NSBH/nsbh_delta_1p4_10_isotropic) Full year VT: 2.4e+07 Mpc3\n", "nsbh_delta_1p4_30_aligned.xml.gz\n", "105959 events generated, 105959 kept.\n", "(NSBH/nsbh_delta_1p4_30_aligned) Full year VT: 4.5e+07 Mpc3\n", "nsbh_delta_1p4_30_isotropic.xml.gz\n", "106000 events generated, 106000 kept.\n", "(NSBH/nsbh_delta_1p4_30_isotropic) Full year VT: 3.6e+07 Mpc3\n", "nsbh_delta_1p4_5_aligned.xml.gz\n", "105959 events generated, 105959 kept.\n", "(NSBH/nsbh_delta_1p4_5_aligned) Full year VT: 1.5e+07 Mpc3\n", "nsbh_delta_1p4_5_isotropic.xml.gz\n", "106000 events generated, 106000 kept.\n", "(NSBH/nsbh_delta_1p4_5_isotropic) Full year VT: 1.4e+07 Mpc3\n" ] }, { "data": { "image/png": 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6BdLSluDZZ583Fw3W3MtUXABAbW01oqOH/4Ill8sRHCxHdXUl0tOXQq/X4513inHo0MFh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\nKBgqiIiIKCgYKoiIiCgoGCqIiIgoKBgqiIiIKCgYKohUduDAARQWFiI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SnT0X8fFj7XqTozOejaCgji919VScqSAiIiJJMFQQERGRJFingoiI3Mp77y139RConThT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\nMI5/vXUeN0dvwSgb8ONtb+NgdR2vEFkFeOygVDh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PWDy/icLWoUPNzj//4hcvISMjc8TEPk/HfWGx9KC31+r8rXX79m3OY3v27HIOQdz4271G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\nbDajpqYGavXwXCOr1QpRFKHX6wPSfn1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RjIxEMBIBIiMRjEQi+Gl8CocPjmPXtvH+hw9q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\n", 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Rr8q5/7i+qqyswKpVmSgtPQmWZbFuXRbCwhQAgKVLFyE+fh4qKspRWnoSUqkM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ms+Ayh0XfsHOq/+PblMoqB9L/nkpyj7/DOYyysKep6ZLpfTaeuJy7oVQswwklSIKWfWzPyb+R8l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\ncONaL2dOt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97xWCAQoLa2lv3794+7naKigTvAxqplGBxpmOiH4EK3X2iGTCoOHz487BvG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\n+AAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plots = {\n", " \"BNS\": pyplot.figure(figsize=(8, 8)),\n", " \"NSBH\": pyplot.figure(figsize=(8, 8)),\n", " \"BBH\": pyplot.figure(figsize=(8, 8)),\n", " \"all\": pyplot.figure(figsize=(8, 8))\n", "}\n", "\n", "#pyplot.figure(figsize=(8, 8))\n", "\n", "matplotlib.rcParams['legend.fontsize'] = 16\n", "\n", "tbl = \"| source category | full year VT | $N_d$ |\\n|---|---|---|\\n\"\n", "\n", "tobs = 1 * 0.5 # 1 yr times 50% duty cycle\n", "\n", "for fname in fnames:\n", " print fname\n", " \n", " import os\n", " try:\n", " # Use this when SNR is tabulated already\n", " root_name = fname.split(\".\")[0]\n", " events = eventgen.EventGenerator.from_hdf5(out_fname, root=root_name)\n", " fname = root_name\n", " except KeyError:\n", " events = eventgen.EventGenerator.from_xml(fname)\n", " fname = fname.split(\".\")[0]\n", "\n", " #events._events = events._events[:1000]\n", "\n", " events.append_post((\"z\",), get_redshift)\n", " events.append_post(eventgen._redshifted_masses, eventgen.detector_masses)\n", " events.append_post((\"net_snr\",), get_net_snr)\n", "\n", " events.reapply_post()\n", " \n", " events.to_hdf5(out_fname, fname)\n", "\n", " bins, dvt = vt(events._events, lambda e: [snr_cut(e), e.z])\n", " try:\n", " write_vt_to_hdf5(bins, dvt, out_fname, \"vt\", fname)\n", " except:\n", " pass\n", " dvt = dvt.to(\"Mpc^3\")\n", " dvt *= tobs\n", "\n", " #eventgen.plot(events, fname + \".png\", \\\n", " #params=(\"mass1\", \"mass2\", \"spin1z\", \"spin2z\", \"net_snr\"))\n", "\n", " #weights = [int(snr_cut(e)) for e in events]\n", "\n", " #eventgen.plot(events, fname + \"_cut.png\", select=weights, \\\n", " #params=(\"mass1\", \"mass2\", \"spin1z\", \"spin2z\", \"net_snr\"))\n", "\n", " source_type = fname.split(\"_\")[0].upper()\n", " l = getattr(rates, \"{0}_RATES_LOW\".format(source_type))\n", " h = getattr(rates, \"{0}_RATES_HIGH\".format(source_type))\n", " \n", " def fmt_latex_sn(num):\n", " s = r\"${0:.1e}\".format(num).replace(\"e+0\", r\"\\times 10^{\")\n", " return s + \"}$\"\n", "\n", " print \"({0}/{1}) Full year VT: {2:.1e}\".format(source_type, fname, dvt)\n", " \n", " if \"bbh_astrophysical_isotropic\" in fname or \"1p4\" in fname:\n", " continue\n", " \n", " tbl += \"| {0} / {1} | {2} Mpc$^3$ yr \".format(source_type, \\\n", " fname.replace(\"bns_astrophysical\", \"bns_mw_like\"), fmt_latex_sn(dvt.value))\n", "\n", " n = numpy.arange(1000)\n", " r = numpy.logspace(numpy.log10(l * 1e-1), \\\n", " numpy.log10(h * 1e1), 100)\n", "\n", " p_n = rates.integrate_rates(r, n, l, h, dvt)[0]\n", "\n", " cup = p_n.cumsum()\n", " n5, n50, n95 = numpy.searchsorted(cup, (0.05, 0.5, 0.95))\n", " print \"N => {0:.1e} +{1:.1e} -{2:.1e}\".format(\n", " n50,\n", " (n95 - n50),\n", " (n50 - n5),\n", " )\n", "\n", " tbl += \"| ${0:d}^{{+{1:d}}}_{{-{2:d}}}$ |\\n\".format(n50, (n95 - n50), (n50 - n5))\n", " \n", " lbl = fname.replace(\"_\", \" \")\n", " if \"nsbh\" in lbl:\n", " ls = \"-\"\n", " pyplot.figure(plots[\"NSBH\"].number)\n", " elif \"bns\" in lbl:\n", " ls = '-.'\n", " pyplot.figure(plots[\"BNS\"].number)\n", " lbl = lbl.replace(\"astrophysical\", \"MW like\")\n", " elif \"bbh\" in lbl:\n", " ls = '--'\n", " pyplot.figure(plots[\"BBH\"].number)\n", "\n", " pyplot.plot(n, 1 - cup, label=lbl, linestyle=ls)\n", " \n", " pyplot.figure(plots[\"all\"].number)\n", " pyplot.plot(n, 1 - cup, label=lbl, linestyle=ls)\n", "\n", "for plt in plots.values():\n", " pyplot.figure(plt.number)\n", " pyplot.xlabel(r\"$N$\")\n", " pyplot.ylabel(r\"$p(\\geq N)$\")\n", " pyplot.axhline(0.5, color='k')\n", " pyplot.semilogx()\n", " pyplot.ylim(0., 1.01)\n", " ax = pyplot.gca()\n", " ax.yaxis.tick_right()\n", " ax.yaxis.set_label_position(\"right\")\n", " pyplot.legend()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "| source category | full year VT | $N_d$ |\n", "|---|---|---|\n", "| BBH / bbh_astrophysical_aligned | $6.8\\times 10^{8}$ Mpc$^3$ yr | $35^{+78}_{-26}$ |\n", "| BNS / bns_mw_like | $3.2\\times 10^{6}$ Mpc$^3$ yr | $4^{+9}_{-4}$ |\n", "| BNS / bns_broad | $7.3\\times 10^{6}$ Mpc$^3$ yr | $9^{+19}_{-7}$ |\n", "| NSBH / nsbh_broad_aligned | $4.9\\times 10^{7}$ Mpc$^3$ yr | $1^{+24}_{-1}$ |\n", "| NSBH / nsbh_broad_isotropic | $5.7\\times 10^{7}$ Mpc$^3$ yr | $1^{+28}_{-1}$ |\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(Markdown(tbl))\n", "#print tbl" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.14" } }, "nbformat": 4, "nbformat_minor": 2 }