{ "cells": [ { "cell_type": "markdown", "id": "1232264e-7cec-4912-bcd4-068b1cb8588c", "metadata": {}, "source": [ "## Example notebook to compute eccentricity $e_{\\xi}(t)$ from waveforms\n", "This framework is developed by Islam and Venumadhav available at https://arxiv.org/abs/2502.02739\n", "\n", "Characterizing eccentricity in gravitational waveforms in a consistent manner is crucial to facilitate parameter estimation, astrophysical population studies, as well as searches for these rare systems. \n", "We present a framework to characterize eccentricity directly from gravitational waveforms for non-precessing eccentric binary black hole (BBH) mergers using common modulations that eccentricity induces in all spherical harmonic modes of the signals. \n", "Our framework is in the spirit of existing methods that use frequency modulations in the waveforms, but we refine the approach by connecting it to state-of-the-art post-Newtonian calculations of the time evolution of the eccentricity. \n", "Using 39 numerical relativity (NR) simulations from the SXS and RIT catalogs, as well as waveforms obtained from the post-Newtonian approximation and effective-one-body (EOB) formalism, we show that our framework provides eccentricity estimates that connect smoothly into the relativistic regime (even up to $\\sim 2M$ before merger). \n", "We also find that it is necessary to carry existing post-Newtonian calculations to an extra $0.5$PN order to adequately characterize existing NR simulations, and provide fits to the extra coefficient for existing simulations. \n", "We make the framework publicly available through the Python-based \\texttt{gwModels} package. " ] }, { "cell_type": "code", "execution_count": 1, "id": "70c13800-d4ba-4df4-a9ca-d05b226e12df", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lal.MSUN_SI != Msun\n" ] } ], "source": [ "import sys\n", "# install gwModels in editable mode from the parent directory\n", "!{sys.executable} -m pip install -e ../ --no-deps --quiet\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import warnings\n", "warnings.filterwarnings(\"ignore\", \"Wswiglal-redir-stdio\")\n", "\n", "import gwModels\n", "gwModels.utils.set_rcparams()" ] }, { "cell_type": "markdown", "id": "7eb8c040-10ec-45f6-ba7b-a30b3eaba562", "metadata": {}, "source": [ "## 1. Load waveforms" ] }, { "cell_type": "code", "execution_count": 2, "id": "6d441acb-a476-4374-a222-de01b7d80ddc", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# load eccentric NR data from SXS:BBH:1355 and circular NR data from SXS:BBH:0180\n", "wfs = np.load('../gwModels/data/SXSBBH1355.npy', allow_pickle=True)[()]\n", "\n", "t_ecc = wfs['t_ecc'] \n", "hecc_dict = wfs['hecc_dict'] \n", "t_cir = wfs['t_cir'] \n", "hcir_dict = wfs['hcir_dict']\n", "\n", "# plot them\n", "plt.figure(figsize=(8,5))\n", "plt.plot(t_ecc, abs(hecc_dict['h_l2m2']), label='Eccentric')\n", "plt.plot(t_cir, abs(hcir_dict['h_l2m2']), label='Circular')\n", "plt.xlim(-2700,100)\n", "plt.xlabel('Time')\n", "plt.ylabel('$|h_{22}|$')\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "64fa29cd-df38-4682-b4fd-d7e8fe25b0cd", "metadata": {}, "source": [ "## 2. Compute eccentricity $e_{\\xi}$" ] }, { "cell_type": "code", "execution_count": 3, "id": "0af24b72-6efe-40a5-8d86-1cf499410bab", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on class ComputeEccentricity in module gwModels.ecc_measures.compute_ecc_xi:\n", "\n", "class ComputeEccentricity(builtins.object)\n", " | ComputeEccentricity(t_ecc=None, h_ecc_dict=None, t_cir=None, h_cir_dict=None, q=None, t_ref=None, ecc_prefactor=None, distance_btw_peaks=None, fit_funcs_orders=None, include_zero_zero=False, set_unphysical_xi_to_zero=False, set_unphysical_ecc_to_zero=True, method='xi_amp', use_xi_amp_to_get_xi_freq=False, tc=0, t_buffer=0)\n", " | \n", " | Class to compute eccentricity using 22 mode eccentric and circular waveforms.\n", " | \n", " | This is a convenience wrapper that:\n", " | 1. Computes modulations via NRHME\n", " | 2. Delegates eccentricity extraction to ComputeEccentricityFromModulations\n", " | \n", " | Methods defined here:\n", " | \n", " | __getattr__(self, name)\n", " | Delegate attribute access to the inner ComputeEccentricityFromModulations object.\n", " | \n", " | __init__(self, t_ecc=None, h_ecc_dict=None, t_cir=None, h_cir_dict=None, q=None, t_ref=None, ecc_prefactor=None, distance_btw_peaks=None, fit_funcs_orders=None, include_zero_zero=False, set_unphysical_xi_to_zero=False, set_unphysical_ecc_to_zero=True, method='xi_amp', use_xi_amp_to_get_xi_freq=False, tc=0, t_buffer=0)\n", " | Parameters:\n", " | t_ecc: time array for the eccentric 22 mode waveform\n", " | h_ecc_dict: dictionary of eccentric waveform modes (should contain 22 mode)\n", " | t_cir: time array for the circular waveform modes\n", " | h_cir_dict: dictionary of circular non-spinning waveform modes\n", " | q: mass ratio (q>=1)\n", " | t_ref: reference time to compute eccentricity\n", " | ecc_prefactor: pre-factor in eccentricity definition; default is 2/3\n", " | distance_btw_peaks: distance between peaks for PeakFinderScipy\n", " | fit_funcs_orders: orders of the upper and lower xi fit functions\n", " | include_zero_zero: if True, include (t=0, y=0) to extrema lists\n", " | set_unphysical_xi_to_zero: if True, set negative/NaN in fitted xi to zero\n", " | set_unphysical_ecc_to_zero: if True, set negative/NaN in fitted eccentricity to zero\n", " | method: 'xi_amp' or 'xi_freq'\n", " | use_xi_amp_to_get_xi_freq: if True, compute freq modulation from amp modulation\n", " | tc: time at merger; default is zero\n", " | t_buffer: buffer time for common time grid\n", " | \n", " | ----------------------------------------------------------------------\n", " | Data descriptors defined here:\n", " | \n", " | __dict__\n", " | dictionary for instance variables (if defined)\n", " | \n", " | __weakref__\n", " | list of weak references to the object (if defined)\n", "\n" ] } ], "source": [ "help(gwModels.ecc_measures.ComputeEccentricity)" ] }, { "cell_type": "code", "execution_count": 4, "id": "0b81e1b9-3d64-4e60-9c52-a581b7407c5d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "... gwModels eccentricity at t_ref=-2638.56 : 0.07996\n" ] } ], "source": [ "# compute eccentricity\n", "obj = gwModels.ecc_measures.ComputeEccentricity(t_ecc = t_ecc,\n", " h_ecc_dict = {'h_l2m2': hecc_dict['h_l2m2']},\n", " t_cir = t_cir,\n", " h_cir_dict = {'h_l2m2': hcir_dict['h_l2m2']},\n", " q=1, \n", " distance_btw_peaks=2000, # choice for the distance between peak\n", " fit_funcs_orders=['3PN_m1over8', '3PN_m1over8'], # default choices for the fit orders using PN+pseudo PN expressions\n", " ecc_prefactor=2/3) # default choice for the Newtonian limit" ] }, { "cell_type": "code", "execution_count": 5, "id": "28a1284a-0027-4e95-bb44-f45772c4841a", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAArUAAAG3CAYAAACqgK3XAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8ekN5oAAAACXBIWXMAAA9hAAAPYQGoP6dpAABbq0lEQVR4nO3deXhU5d0+8HtmspF1MtkgCUtmJmxhTQKCyiYT4kqsELBV25+1JAp922IrI33fLm9rq8EW39qCTlBba22LiVhQVJKJILKISQYEwpaZw75km0zCLkzm98eYyJCFyTbnnOT+XBeX5mSeme/kywl3njznOQqXy+UCEREREZGMKcUugIiIiIiouxhqiYiIiEj2/MQuQGqamppw5swZhIWFQaFQiF0OEREREd3E5XLh/PnziI+Ph1LpnqNlqL3JmTNnMHjwYLHLICIiIqJbOHnyJBITEwEw1LYSFhYGwP1FCg8P99nrTp48GQDwxRdf+Ow1AcDpdMJms0Gn00GlUvn0tcl77JM8sE/ywV7JA/skH77uVWNjIwYPHtyS2wCG2laalxyEh4f7NNQ2/wXw5WsC7r+EoaGhCA8P5zcMCWOf5IF9kg/2Sh7YJ/kQq1c3LhXlhWJEREREJHsMtUREREQke1x+IBHr168XuwQiIiIi2WKolQi9Xi92CURERESyxeUHEmG1WmG1WsUug4iIiEiWOFMrEVlZWQCAiooKkSshIiIikh+GWrFduwZs3Igf1NYiuKkJeOEFYORI4L77AH9/sasjIiIikgWGWrGcOQOYTMArrwA1NfgvAC4A+MUvgOvXgZgY4KmngNxcID5e5GKJiIiIpI1rasWwZQswYgTwu98BNTUA3D9d+APuQAu4j//ud+7HbdkiTp1EREREMsFQ62tbtgAZGcClS4DT2fFjnU734zIyGGyJiIiIOiCp5QeFhYUQBAFqtRo2mw0LFy5Eampqj4wrLCxEaWkpoqKiUFdXh4yMDBgMht56K207cwZ44AGgqcn9xxvNj5s7Fzh0iEsRiIiIiNogmVBrNpthMplQXFzcciwtLQ0lJSVQq9XdGldYWAi1Wo28vLyWx+Tm5kKj0XgVmnuMyQRcvux9oG3W1ARcvAjk5wO//nWvlEZEREQkZ5JZfmA0GpGbm+txzGAwID8/v9vjTCYT0tPTPR6Tm5sLs9nczao74do190Vht1py0J6mJvf4a9d6ti4iIiKiPkAyodZisbSaNdXpdFi7dm23x6nVahiNRo/HlJWV+XaWduPGlovCuqy6Gvjww56ph4iIiKgPkcTyA4vFAgDQaDQexzUaDQRB6Pa45cuXIy0tDWazGQUFBRAEAQ6Ho8M1tdHR0VAoFB7HLl265N0baoPiwAEo/PygaN7doAtcKhVcBw7Adf/9XX6OmzmdTjQ1NcHZ1Rlk8gn2SR7YJ/lgr+SBfZKP3uxVcHBwq2Mul6vVMUmEWrvd3u7nHA5Ht8elpqaivLwcs2fPRlpaGgwGg8ca3La09cWqrKzscExHok+cQFSXR39NoYD9+HHUdqOOmzU1NcFut8NqtUKplMzEPd2EfZIH9kk+2Ct5YJ/kozd71VYmk2yobZ5ptdvtHV4U1tVxDocDJpMJJSUlMJvNMBqNt7wIrbq6GuHh4V7XciuKIUO6/RxNTS6c9Y9EZOxgDIoI6oGq3D9ZWa1W6PV6qFSqHnlO6nnskzywT/LBXskD+yQfvdmry5cvtzrW2NjY6jf1kgi17QXLjmZiOzMuOzsbBQUFUKvVSE1Nxfz585GRkYHs7Ox2Z2xVKlXPNmX06G9urNBFqiYnXj7jh+IVWzA0KhhTkqIwRafBFG0UBkUM6PLzKpXKnn+/1OPYJ3lgn+SDvZIH9kk+fNmrtl5DEqG2OWnfvNTA4XB0eDGXN+Oa96+9MQBrtVqUl5cjMjKy+8V767773Le+7cbFYs6YGNxn/D40J87j86N1WFt2EmvLTgKAR8i9LSkK8equh1wiIiIiuZFEqFWr1TAYDBAEwSPE2my2Di/m6uq4G8f6jL8/8NRT7lvfdmURtVIJ1eLFeHByEh6c7D50xnEZu47W4XObnSGXiIiI+jVJhFrAvd9sXl4e5s+f33KsrKwMJSUlLR8LggCj0Yg1a9a0zLzeapxWqwXQeuuvwsLCVvvb9rrcXGDlSvetbztzAwalEggJAXJyPA7HqwfgWxMT8a2JiQCAsw2XsUuw43OhDp8LDLlERETUf0gm1BoMBjgcDuTn50Oj0aC0tNQjvALuUGs2mz0uDPNmXEFBAVasWIG1a9e23CZ30qRJHkHYJ+LjgfffBzIy3B97E2yVSvef99+/5S1yB0UMwIMTE/DgxAQAtw65t+uicFuSBnHo3lpfIiIiIrEpXG3tidCPNTY2IiIiAg0NDT26+4GHLVuAuXPdM7YdLUVonqF9/31gxoxuv+yNIXenUIfjdd/su5scG4o79NGYqovClKQoRAT7d/v1qOc4nU5UVlYiOTmZF0tIGPskH+yVPLBP8uHrXrWV1yQzU9uvzJwJHDoE5OcDq1cDNTW4DsAFwF+lcgfd2Fj3GtycnFvO0Hrr5pncU/WXsN1ag6I9x1BRcw1/23EMf9txDAoFMCY+ArfrojBVF4VJwzQICeRfFSIiIpIuJhWxxMcDv/418N//DXz4IV7OyUFIUxNyf/YzYORI4N573ReX9aLEyGDMT03E+LDL0Ov1OFF/BTtsddhpc8/kmrYKMG0V4KdUYMJg9dchNxoTh6gR5M+fmImIiEg6GGrF5u8PZGXh9Z//HACQazSKUoZCoYA2JhTamFA8OmUomppcOFx1/uuQW4tdgh1lx+vx8idWBPopkT4sErfr3MsVxiVEwE/FO70QERGReBhqqU1KpQKjBoVj1KBwPHFnEq47m7D/TCN22Gqx01aH0mN2bLfWAQBCA/0wOUnTslxh1MBwKJUKkd8BERER9ScMteQVP5USEwarMWGwGotn6nH1uhN7Tjhalit8VlmDTw5VAwDUwf6Yqo1qWa6giwmBQsGQS0RERL2HoVYi5syZI3YJnRLop8Jt2ijcpo3C0gzg0lfXUXasvmW5wqaKc/ho/zkAQGxYIG7XReEOfTTuTI7u1i19iYiIiNrCUCsRL730ktgldEtwgB+mD4/B9OExAICGy9fwxVE7dthqscNah//sOYP/7DkDANDFhOBOfTTu0Edjii4K4UHcPoyIiIi6h6GWekXEAH9kjI5Dxug4AEDN+avYYavFtspabLPW4s2dx/HmzuNQKRUYlxiBaV+H3IlDIhHgx4vOiIiIqHMYaiVi6dKlAOQ/Y9uemLBAZE1IQNaEBLhcLhytvYjt1lp8VlmLnUIddp9w4OVPrBjgr8JtWk3LTO7IgWFcj0tERES3xFArEUVFRWKX4DM3bh/22NRhuO5swr7TDdhudc/ibrfWYsvhGgBAdGgA7vg64N6pj0a8mutxiYiIqDWGWhKdn0qJiUMiMXFIJH54VzIufXUdXxy1fx1y67B+zxms/3o9rjY6pOWCsynaKEQM4HpcIiIiYqglCQoO8MPMEbGYOSIWAFB74Sq2fz2Du62yFm99fhxvfX4cSgUwLlHdslQhdagagX680xkREVF/xFBLkhcd6rke91jdJWyz1mJbZQ122Oqw56QDf9nsXo87OUmDacnRmJYcg+FxoVyPS0RE1E8w1JKsKBQKJEWHICk6BI9NGQpnk6tlPe5nlTXYaavDp0dqABxEXHggpiW7txm7Ux8NTUiA2OUTERFRL2GolYjFixeLXYIsqZSKljudLZmlx6WvrmPXUTu2HqnBZ5W1KCw/hcLyU1AogLEJEZiWHI3pyTHcOoyIiKiPYaiViCVLlohdQp8QHOCHWSNiMevr9binHZexrbIGW4+4d1bYe8qGVZttCAlQYaouGtOHu5cqDIsK5lIFIiIiGWOopT4tQT0ACycNwcJJQ+BscmHvKQc+q3QvVdh8uBrmg1UAgMGaAe6lCskxuF3Pu5wRERHJDUOtRMydOxcAsGHDBpEr6btUSkXL1mE/mp2MxivXsNNWh61HarC1sgb/3HUC/9x1wv24wWpMHx6DacnRGJeohkrJWVwiIiIpY6iVCJvNJnYJ/U54kD8yUwYiM2UgAOBY7UV8VlmDT4/UYqetFmXH67Gy+AgiBvjjTn20ez3u8BjeAIKIiEiCGGqJvjYsOgTDokPw2NRhuOZsguV4PT6rrMXWyhp8uP8sNu47CwDQxYRg+vAYzBgegynaKAT5c29cIiIisTHUErXBX6XEbdoo3KaNws8yR8B+8Stss9bis6+XKvx1+zH8dfsxBPkrMUUbhZnDYzBzRCyGRYeIXToREVG/xFBL5AVNSADmjo/H3PHxcLlcOFJ1AVsOV+PTIzXYbq3FlsM1wPsHMDQquCXgTtFGYUAAZ3GJiIh8gaGWqJMUCgVGDAzDiIFhyJ2hw4Wr17HDWostR2rw6eEavLnzON7ceRwBfu5Z3BnDYzBzRAy00SHcNoyIiKiXMNRKxMqVK8UugbooNNAPc1IGYk7KQLhcLlirL2DL4Rp8eqQGn3+9u8JvP3BvGzZzeCxmjojBVF0UggN4+hEREfUU/qsqEZmZmWKXQD1AoVAgOS4MyXFhWDRdi4tXr2OnrQ5bjlRjy+EavPX5cbz1+XEEqJSYnKTBzBHuWVxdTChncYmIiLqBoZaoF4UE+sEwOg6G0XFwuVwQai9iy+EabDlcjV1H7dhmrcVzGw8iQT3g64Abi9t1UQgJ5KlJRETUGfyXUyJSUlIAABUVFSJXQr1FoVBAFxMKXUwonrgzCZe+uo7PhbqvQ24N3t51Am/vOgF/lQKThmnct/sdGQtdDHdUICIiuhWGWiKRBAf44a6RcbhrZBwA4GjtRWw57F6m8LlQhx22Ovzuw4MtOyoMD/0KQ5KaEKzijgpEREQ3Y6glkoik6BAkRSfh8TuScOWaEzttdSg5VIXNh9w7KgDA7z6txp36aMweFYtZI2IRGx4kctVERETSwFBLJEFB/irMGulefuByuXDwTAMKth/EvjoXzAerUHSgCgAwJiH869neWIxLiIBSyYvNiIiof2KoJZK45n1xF46LxP8kJ6PxihNbK2vwySH3UoWXSyrxckklokMDMHNELO4aGYtpydEIC/IXu3QiIiKfkVSoLSwshCAIUKvVsNlsWLhwIVJTU7s9zmg0Iioqqs3n0mq10Gq1Pfo+iHpTZEgAsiYkIGtCAq47m7D7pAOfHKrGJwerUVh+CoXlp+CnVGBykgZ3jXSHXG1MqNhlExER9SrJhFqz2QyTyYTi4uKWY2lpaSgpKYFare7WOIvFArPZ3Ob44uJiSYTa9evXi10CyZCfSolJwzSYNEwD490jcar+EjYfqsYnh6qxw+a+2Oy5jQcxLCoYs0bGYvbIOExO0iDATyl26URERD1KMv+yGY1G5ObmehwzGAzIz8/v9rjU1FS4XC6PP/X19TCZTDAYDD33JrpBr9dDr9eLXQbJXGJkMB6bOgx/fXwy9vxyDl7/XjoeuW0Irl5vwl+3H8Ojr+/CxN8U4cm3ylFQdhJ1F66KXTIREVGPkMxMrcViabU8QKfTwWQyYdmyZd0al5GR0Wrc888/j7y8vB6ovGdYrVYAYLClHjMgQIXZo+Iwe5T7xg+Hzp13L1M4VI2iA+fwccU5KBRA2pBI9w0iRsVBFxPCO5sREZEsSSLUWiwWAIBGo/E4rtFoIAhCt8fdPBubn5+P5cuXd1hTdHR0q3/cL1261OGY7sjKygIA7N27t9deoy1OpxNNTU1wOp0+fV3qnJ7o0/DYEAyPTcKT05Ngv/gVthypQcnBamytrEXZ8Xq88NEhDIsKxuxRsTCMjEXqEDX8VJL5ZY4s8HySD/ZKHtgn+ejNXgUHB7c65nK5Wh2TRKi12+3tfs7hcPToOEEQ4HA4OlynC7T9xaqsrOxwTHdcvXq111+jLU1NTbDb7bBarVAqGWCkqjf6NDYUGDspFIsnBmPvuSv4/ORFfH7yIl7fdgyvbzuGsEAlJicGY8rgEKQlBCPYn38/boXnk3ywV/LAPslHb/aqrUwm2VDbPNNqt9tvGTa7O85oNGLNmjW3fFx1dTXCw8O9rqW7AgMDAQDJyck+e03A/ZOV1WqFXq+Hineqkqze7lPKKODbcH+TqDjTiJJD1Sg5WIMSWyNKbBcQoFLgNm0UDCNjcdfIGMSrB/R4DX0Bzyf5YK/kgX2Sj97s1eXLl1sda2xsbPWbekmE2vYCaUczsV0Z53A4YDabvQrAKpVKlBNIjNdUKpWivV/ynq/6NH6IBuOHaPD0nJE47biMTw5WofhgNXbaavFZZS1+9T4welA4DKPjMGd0HFLiw7kO9wY8n+SDvZIH9kk+fNmrtl5DEqG2OWnfvGTA4XB0uE9tZ8e98847kti+i0guEtQD8NjUYXhs6jCcv3INn1XWwnygCp8crm656cPA8CD3OtzRcZiqjUKQP//hISIi35NEqFWr1TAYDBAEwSOM2my2Drfc6uy44uLiVlPVROSdsCB/3Dt2EO4dOwjXnU0oP14P88EqFB+owtu7TuDtXScQHKDCjOExmJMSh7tGxiFiAO9qRkREviGJUAu417rm5eVh/vz5LcfKyspQUlLS8rEgCC1rYpuXEHgz7sbxUp2praioELsEIq/5qZS4TRuF27RR+Pm9o2CrudgScD+uOIeP9p+Dn1KBqboozBkdhzkpAxEXHiR22URE1IdJJtQaDAY4HA7k5+dDo9GgtLTUI7wC7lBqNps9LgzzZlwzrVaLSZMm+eYNEfUTCoUC+thQ6GND8eQMHWrOX4X5YBWKKs5hu7UOn1XW4hfrKzBhsBqZKQMxJyUOOt62l4iIepjC1daeCP1YY2MjIiIi0NDQ4NPdDzZt2gQAyMzM9NlrAu6rFSsrK5GcnMxF+BIm1z6dv3INWw7XYFPFOWw5XIMLV68DAPSxochMicOc0QMxLjGiz1xoJtc+9UfslTywT/Lh6161ldckM1Pb3z399NMAuAyB+pawIH88MD4eD4yPx9XrTuyw1aGowr1MYdVmG1ZttmFQRBDmjI5DZspATErSwJ83fCAioi5gqCUinwj0U2HWiFjMGhGL5x4cg90n6rGp4hw2VVThzZ3H8ebO44gY4I/Zo2KRmTIQ05NjMCCAMzNEROQdhloi8jmVUoH0YRqkD9Pg5/eOwuGq89i0vwpFB85hneU01llOI8hfienJMchMGYjZo2KhDg4Qu2wiIpIwhloiEpVCocDIgeEYOTAcPzYk46T9EooOuC80Mx+sQtGBKqiUCkzVRuGesQMxZ/RAxIQFil02ERFJDEMtEUnKYE0wnrgzCU/cmYS6C1dRcrAamyrO4bPKWmyz1uIX/9mPScM0uHfsIGSmDMTACG4VRkREDLWSodPpxC6BSHKiQgOxYNJgLJg0GOevXMMnh6rx4b6z2HK4BruO2vGrDRVIGxqJe8YMxN1jBiIxMljskomISCQMtRKxYcMGsUsgkrSwIH9kTUhA1oQEXLx6HVsO1+DD/Wex+VA1yo/X47mNBzE+MQJ3jxmEe8YMxLDoELFLJiIiH2KoJSLZCQn0w33jBuG+cYNw5ZoTnx6pwcf7z8F8oAp5Hx9C3seHMHpQOO4ZMxD3jB0EfSxv9kBE1Ncx1ErEqlWrAABLliwRuRIieQnyVyEzZSAyUwbi6nUntltr8dG+cyg6UIU/Fh/BH4uPIDk2FPeMHYR7xw7EiLiwPnOzByIi+gZDrUSsXr0aAEMtUXcE+qlw18g43DUyDr93NmGnrQ4f7T+HoopzeLmkEi+XVCIpOgT3jBmIe8cOQkp8OAMuEVEfwVBLRH2Sv0qJ6cNjMH14DH6blYLSY/X4aP9ZfLz/HFZvsWH1FhuGRQW7lzGMjceoQZzBJSKSM4ZaIurz/FRKTNVFYaouCr9+IAXlJ+qxce9ZfLjvbMvterUxIbh/7CDcPz4ew+PCxC6ZiIg6iaGWiPoVpVKBScM0mDRMg1/ePxqlx+z4YO9ZfLT/LF7+xIqXP7FieFwo7hsbj/vHD4IuhheZERHJAUMtEfVbSqUCt2mjcJs2Cr+em4JdQh0+2OdeovCS+QheMh/BqEHhuH/cINw/bhCGRnGbMCIiqWKolYg5c+aIXQJRv6ZSKnC7Phq366Pxm7kp2CnU4YMvz+LjinN4cdNhvLjpMMYmRHy9BncQBmt4owciIilhqJWIl156SewSiOhrfiolpiXHYFpyDH774Bhst9Xigy/PoujAObzw0SG88NEhjB+sxgPjBuHesYMQrx4gdslERP0eQy0RUQcC/JSYNSIWs0bE4ur1MfjsSC027juL4gNVeG7jQTy38SDShkbigXGDcM+YOLHLJSLqtxhqJWLp0qUAOGNLJGWBfioYRsfBMDoOV645seVwDTbuO4uSg1UoP16P33xwABMGDcDD54Nxz9hBCAvyF7tkIqJ+g6FWIoqKisQugYg6IchfhbvHDMTdYwbi8ldOmA9WYf3u09hypBqWd/fhf9ZXYPbIWGRNiMfMEbEI8leJXTIRUZ/GUEtE1E0DAlR4YHw87h0TB8v+QzhyOQQf7D2HjyvO4aP95xAW6Ie7xwzE3AnxmKqNgp9KKXbJRER9DkMtEVEPCgtU4eExg/HIlGE413AFH+w9g/V7zqCg/BQKyk8hOjQQ948bhKwJ8ZgwWM27mBER9RCGWiKiXjIwIgg/mKbFD6ZpIdRcwIYvz2DDnjP4245j+NuOYxiiCcbc8fHImhCPZN7FjIioWxhqiYh8QBsTip8YhuPHs5Ox/3Qj1u85jff3nsFfNlvxl81WjBoUjqwJ8XhgfDwSuEUYEVGnMdRKxOLFi8UugYh8QKFQYGxiBMYmRmD5vaPwxVE7Nnx5Gh/u+2YP3MlJGjw0MQH3jhuEcO6gQETkFYZaiViyZInYJRCRj6mUCkzVRWGqLgr/O3cMth6pwX/2nEbxgSp8cdSOX26oQMaoOHxrYgJmjIiBPy8wIyJqF0MtEZEEBPgpW/bAbbxyDR/vO4d1u09h476z2LjvLKJCAvDA+Hh8a2ICxiVG8AIzIqKbMNRKxNy5cwEAGzZsELkSIhJbeJA/FkwajAWTBuNU/SWs33MG6yynWi4w08aE4KGJCXhwYgISI4PFLpeISBIYaiXCZrOJXQIRSVBiZDCWzNJj8Uwd9p1uwDrLabz/5Rn8oegI/lB0hOtviYi+xlBLRCQDCoUC4xLVGJeoxn/fNwpbj9Rg3W6uvyUiasZQS0QkM/4qJWaPisPsUe71tx/tO4t1ltMt6281IQF4YNwgzE8bjDEJ4Vx/S0T9AkMtEZGMhQf5Y+GkIVg4aYjH+ts3dx7HmzuPY+TAMMxPS8SDExMQHRoodrlERL1GUqG2sLAQgiBArVbDZrNh4cKFSE1N7bFx+fn5cDgcUKvVcDgcyMnJgVqt7oV3QkTkezeuv/3yVAMKy09iw54zeG7jQbzw0SHMGhmL+WmJuGtkLJcnEFGfI5lQazabYTKZUFxc3HIsLS0NJSUlHQZPb8dlZ2cjNzcXBoMBAJCRkYG6ujrk5eX1+HvpipUrV4pdAhH1EQqFAhMGqzFhsBr/c99oFB+oQkH5KZgPVqH4QBWiQgKQNSEB2emJGDUoXOxyiYh6hGR+VDcajcjNzfU4ZjAYkJ+f3+1xhYWFcDgcLYG2vXFiyszMRGZmpthlEFEfE+SvwgPj4/H370/GjmfvwjOZIxA+wB9vbD+Ke/70Ge7/82f42/ajqL/4ldilEhF1i2Rmai0WS6slAzqdDiaTCcuWLevWOKPRCKPR6PGYGwNuW6Kjo1tdXHHp0qVbvg+5cTqdaGpqgtPpFLsU6gD7JA9S71NsaACenJ6E3GnDYDnhQKHlND7cdxa/fv8AfvfhQcweGYv5qQmYlhwNvz6+PEHqvSI39kk+erNXwcGt9+N2uVytjkki1FosFgCARqPxOK7RaCAIQrfHCYIAjUbTMntrs9mQkZHRYbBt64tVWVl5i3fSdffffz8A4IMPPui112hLU1MT7HY7rFYrlMq+/Y+YnLFP8iCnPoUD+P6YQHxnxBBsP3ERxdbz+LiiCh9XVCFygAqzdWGYow/DEHWA2KX2Cjn1qj9jn+SjN3vVViaTbKi12+3tfs7hcHRrXHPwLS0t9Vg/q9PpUFBQ0O6FaNXV1QgP991as8BA91XJycnJPntNwP2TldVqhV6vh0ql8ulrk/fYJ3mQa5/GjgaeBHCq/hLe230G71pOo3C/A4X7HZg4OAIL0wfj3rEDERIoiX8yeoRce9XfsE/y0Zu9unz5cqtjjY2NrSY1JfEdqrkou93eqd0IOjNOp9N5fDx//nwYjUaPC8xupFKpRDmBxHhNpVIp2vsl77FP8iDnPg2NDsNPMkbgR7OH44tjdrxTdhIf7juLZ9/bj99uPIi5E+Lx8KQhGJcY0Sf2vpVzr/oT9kk+fNmrtl5DEqG2vUDa0Uyst+OaH6PVaj0eExUVBbPZ7HWNRET9hVKpwBRtFKZoo/CrB1Kw4cszWFt6Av/64iT+9cVJjBwYhm9PHoIHJyQgIpi35iUiaZBEqG2ecb15qYHD4ehwn1pvxt0cZm/EPWqJiDoWMcAfj00ZisemDMX+0w34d+kJrN99Br/aUIHffXgQ944ZiIcnD8FtSZo+MXtLRPIliVXXarUaBoOh1UVhNputw4u5vB3X1mPq6uqQnp7eA9UTEfUPYxIi8NyDY/HFfxvwh+zxGJ8Ygf/sOYOH8z/HXX/8FK9ssaHm/FWxyySifkoSoRZwb7tlMpk8jpWVlWH58uUtHwuCgOzsbI+ZWW/G5eXleTzG4XCgsLBQMjdeAID169dj/fr1YpdBRHRLAwJUmJ+WiIInb4f56RnIma5F4+VryPv4EKY+X4Lct8qw+VA1nE2tr04mIuotklh+ALhnUx0OB/Lz86HRaFBaWoo1a9Z4LBEQBAFms9njwjBvxqWmpmLNmjXIzc2FTqeDzWbrcOcDMej1erFLICLqNH1sKH5+7yj8bM4ImA9W4d+lJ1F0oAqbKqowKCIIC9IH4+HJgzEoYoDYpRJRH6dwtbXRVz/W2NiIiIgINDQ0+HRLL6vVCsD34dbpdKKyshLJycm8slTC2Cd5YJ/cTtovoaD8FArKTuJswxUoFcDsUXF4dMpQTNNHQ6kUf+0teyUP7JN8+LpXbeU1yczU9ndZWVkAgIqKCpErISLqnsGaYDydMRw/np2MzYeq8fau4zAfrELxgSoM1gzAdyYPRXZ6IqJDA8UulYj6EIZaIiLqFSqlAobRcTCMjsNJ+yX8u/QE1paeRN7Hh7Cy+DDuHjMIj942BJO5cwIR9QCGWiIi6nWDNcF4JnMkfjx7OIoPVOEfnx/H+1+ewftfnoE+NhSP3DYED6UmImIA970loq5hqCUiIp8J8FPivnGDcN+4QbBWX8C/vjiBwvJT+N/3DyDv40N4YFw8HpkyFOP7yF3LiMh3GGqJiEgU+thQ/OL+0XgmcwQ+2HsWb+867r7ArPwUxiSE45HbhiJrQjyCA/hPFRHdGr9TEBGRqIL83fvezk9LRMWZBvxz1wn8Z/dpLF+3D7//8CAWpA/GY1OGYlh0iNilEpGEMdRKBHc9ICICUuIj8LtvjcXye0fhPcsp/H3ncby+7Sje2H4UM4fH4Lu3D8OM5BhJbAtGRNLCUEtERJITGuiHx6YOw6NThmKnrQ5v7jyG4gNV2Hy4BsOigvHY1GGYn8YLy4joGwy1ErFp0yYAQGZmpsiVEBFJh0KhwO36aNyuj8Zpx2X84/Pj+PcXJ/DbDw7gj0WH8a2JCfju1GEYMTBM7FKJSGQMtRLx9NNPA+AyBCKi9iSoB8B490j8eHYyPth7Fm/uOIa3d53A27tOYIpWg/93+zAYRsXBT6UUu1QiEgFDLRERyUrzhWXzUhOw+6QDf99xDBv3ncXngh3xEUF4ZMpQPDxpMKJ4xzKifoU/zhIRkSwpFAqkDonE/z08EdufvQtPZwyH0+XCi5sOY+oLn+CZgi9x6Fyj2GUSkY9wppaIiGQvNiwIP5qdjKdm6lBUUYW/bj/asuftHfooPHFnEmYOj+WuCUR9GEMtERH1Gf6qb+5Y9uVJB17fdhQf7juL7dY6aKND8PgdwzAvLRGBKoZbor6Gyw8kQqfTQafTiV0GEVGfMX6wGi9/eyI+M87CUzN1qLv4FX6xvgJTfl+CvI8Po+bidbFLJKIexJlaidiwYYPYJRAR9UmDIty7JvzXXXqss5zGG9uPIv+zo3hNAdx7+CqeuFOLiUMixS6TiLqJoZaIiPqF4AA/PDplKL4zeQg+OVSF1eYD+GDvOXyw9xxSh6jxxJ1aZKZwSzAiuWKolYhVq1YBAJYsWSJyJUREfZtSqcCsETFIVMajKXwg3txxAu/tOY0l/7QgQT0Aj98xDA9PHoLQQP4TSSQn/HFUIlavXo3Vq1eLXQYRUb8yIi4MefPHYcfXW4Jdvd6E5zYexO3PlyDv40OobrwidolE5CWGWiIi6veiQwPxo9nJ2GachecfGovo0EC8ssWGO/M2w1i4F9bqC2KXSES3wN+tEBERfS3IX4VvTx6ChemDUXywCvlbBawtO4m1ZSdhGBWL3Bk6pA+NhELBLcGIpIahloiI6CZKpQKZKQORmTIQ5cftMH0qoPhgFcwHqzFxiBq507XIGD0QKt7MgUgyGGqJiIg6kDZUg/zvamCruYDXPhPwruU0nvyHBUnRIfjBtCTMS01EkL9K7DKJ+j2uqZWIOXPmYM6cOWKXQURE7dDFhOL5h8Zhm3EWlszSoe7CVfz3e/txxwuf4M8llWi4fE3sEon6Nc7USsRLL70kdglEROSF2LAgPJM5Eotn6rG29CRe33YUfyw+AtNWAY9NHYrv35GEmLBAscsk6nc4U0tERNQFIYF++P6dSdjyzEz8MXs84sKbd0z4BL9avx+n6i+JXSJRv8KZWolYunQpAM7YEhHJjb9KiXlpifjWxAQUHTiHv2y24s2dx/H2rhN4cGICnpyhgz42VOwyifo8hlqJKCoqErsEIiLqBqVSgbvHDEJmykBsrazFqs1WFJafwruWU7hnzEAsnqnHmIQIscsk6rMYaomIiHqQQqHAjOExmDE8BqXH7Fi92YoP953Dh/vOYeaIGCyZpcekYRqxyyTqcxhqiYiIesmkYRr89fHJqDjTgNVbbPhw31lsOVyDycM0+OFdekxLjuaNHIh6iKRCbWFhIQRBgFqths1mw8KFC5GamtrtcRaLBYsWLYLBYIBOp4PD4UBxcTGKi4t78+0QEREBAFLiI7DqO6mw1VyA6VMb1llO47tvfIHUIWr82DAc0xluibpNMqHWbDbDZDJ5BM20tDSUlJRArVZ3e5zD4cCKFSugVquxYMECFBQU9MbbICIiapcuJhQr5o/Hj2YnY/UWGwrKTuJ7b3yBCYPV+IkhGTOGxzDcEnWRZLb0MhqNyM3N9ThmMBiQn5/fI+NMJhNcLhfq6+thMpk6DMpiWLx4MRYvXix2GURE5AOJkcH4/bfGYsszs/DolCGoONOA//fXUjy4egc2H6qGy+USu0Qi2ZFMqLVYLK2WGuh0Oqxdu7ZXxknNkiVLsGTJErHLICIiH0pQD8BzD47Fp8/MwmNThuLgmUY8/rdSPLhqOz45VMVwS9QJklh+YLFYAAAajefVoBqNBoIg9Mg4i8UCQRCg0WhQWlp6y/W60dGt1zddutT3NtJ2Op1oamqC0+kUuxTqAPskD+yTfEitV3FhAfj1A6OQOz0Jpk8FrC07ie//rQxjE8Lxo7v0mDWify5LkFqfqH292avg4OBWx9r6gU8SodZut7f7OYfD0e1xarUaarUaOTk5ANzLE5KSknD06NF2lyG09cWqrKxs9/W6q3npwerVq3vtNdrS1NQEu90Oq9UKpVIyE/d0E/ZJHtgn+ZByrx4Z5Y/MIUPwzn4HPjrciEVvWZAcFYhHJ0RicmJwvwq3Uu4TeerNXrWVySQbaptnWu12e6fWuno7TqvVtgRawB1y09PTYTQaYTKZ2hxTXV2N8PBwr2vprqqqKgBAcnKyz14TcP9kZbVaodfroVKpfPra5D32SR7YJ/mQeq+SAUydADzbeAWmrUfx79KT+FXJOUwcHIGlGcNxhy5K7BJ9Qup9om/0Zq8uX77c6lhjY2Or39RLItS2F0g7montzjjAHXTLysra/bxKpRLlBBLjNZVKpWjvl7zHPskD+yQfcuhVfGQI/jdrDBbP0mPVZiv+9cUJfPeNUkzVRuFnmSOQNjRS7BJ7nRz6RG6+7FVbryGJufzmpH3zUgOHw9Hhuldvx0VGRsJsNrca39HSBiIiIqmICw/Cb7LG4JOfzkR2WiJ2Ha3DvFd24PG/foH9pxvELo9IEiQRatVqNQwGQ6uLu2w2GwwGQ7fHpaenIz093eMxgiB0+NxERERSM1gTjBezx6P46Rm4f9wgbD5cg/v/vA2L3y6Htfq82OURiUoSoRZAm+tby8rKsHz58paPBUFAdna2xwyrN+Oys7M9Pi8IAsrKypCXl9eD74CIiMg3dDGh+Mt3UvHRj6fBMCoOH+47hzkvbcXT7+zBibq+t1MPkTcksaYWcO9I4HA4kJ+f37Lt1po1azzWzQqCALPZ7HFhmDfjcnJysGLFCgBAXV0dHA5HhzsfiGHlypVil0BERDIzalA4XvteOnafqMcfi45gneU0Nuw5gwWTBuPHs5MRFx4kdolEPqNwcWdnD42NjYiIiEBDQ4NPdz8Qi9PpRGVlJZKTk7kIX8LYJ3lgn+Sjr/Zqp60Ofyg6jPLj9QjyV+IHd2qRM0OL8CB/sUvrkr7ap77I171qK69JZvkBERERdc9UXRQKn5yK17+XjiGaYPxlsxUzVmzGG9uO4up13sCA+jaGWolISUlBSkqK2GUQEZHMKRQKzB4Vh49+PB0r5o1DoJ8Kv/ngAAwrP8X6PafR1MRf0FLfxFBLRETUB6mUCiyYNBhbnpkJ490j4bh0DT/+9x7MXbUN2yprxS6PqMcx1BIREfVhQf4qPDVTh63PzMKiaUk4cu4CHn19Fx57fRf3uKU+haGWiIioH4gMCcB/3zcan/xsBh6amIBt1lrc/+dt+PG/d+O0o/VtSInkhqGWiIioH0mMDMbKhROw8b+mYcbwGKzfcwZ3/WEL/rDpMC5evS52eURdxlBLRETUD42OD8eb35+Mv39/MoZFheAvm62Y+YctWFt6Ak5eTEYyJJmbL/R369evF7sEIiLqh6YPj8HtuiisLTuJlUVHYHx3H97ccRz/c/8o3K6LFrs8Iq9xplYi9Ho99Hq92GUQEVE/5KdS4pHbhmLLMzPx5AwdrNUX8J01u7Do72U4WntR7PKIvMJQKxFWqxVWq1XsMoiIqB8LC/LHs/eMRMlPZ+C+cYNQfKAKGSs/xW/eP4CGS9fELo+oQwy1EpGVlYWsrCyxyyAiIsJgTTBWfScVhU9ORUp8ON7YfhQz/rAZb+08xvW2JFkMtURERNSm9GEavLf4Dry0cDyC/FT4xfoK3P/nbSg9Zhe7NKJWGGqJiIioXUqlAt+amIiSn87A4pk62KovIPvVnfjJv3ejqvGK2OURtWCoJSIiolsKCfTDsrtHYtPS6Zg1Igb/+Xp/W9OnNnx1vUns8ogYaomIiMh7SdEh+Ovjk/H699IRHRaI5z86hLv/tBVbj9SIXRr1cwy1RERE1GmzR8Vh00+m42dzhuOM4zK++8YXyPl7GU7aL4ldGvVTvPmCRFRUVHj3wCefBCIjgeef792CiIiIbiHIX4Uf3pWMb6Um4vcbD2LjvrP49EgNfjhLj5wZWgT6qcQukfoRztTKjU4HLF/+zcevvdb6MevW+a4eIiLq9xLUA7DqkVT88we3ITFyAP5YfAT3/ukz7LTViV0a9SOcqZWITZs2AQAyMzM7fmBdHWA0usOtWg0UFAAOxzefd7mAd94BHnqo12olIiJqy+36aHz04+nI32rDnz+x4ttrPse81ET8/N6RiAoNFLs86uMYaiXi6aefBuDFMoQXXgBKSgCLBaivd4dY100bYd/8MRERkY8E+Cnxw7uS8cD4ePxifQXetZxCyaEqLL9nJLLTBkOpVIhdIvVRDLVyNHu2+w8AGAzAxImenzcYfF8TERHRDYZGheDNxydh476z+M37B2B8dx8Ky0/huQfHYsTAMLHLoz6Ia2rlbuJE4NlngeZlC+++616aQEREJDKFQoH7x8XD/NMZ+N7UoSg7Xo/7Xv4ML3x0CJe/copdHvUxDLVyt3w5MGnSN7Oz8+a519QSERFJRHiQP/43awzWL7kDIweF4dVPbcj8v63YYa0VuzTqQxhq5S493R1kU1O/OabRiFcPERFRO8YlqrF+yZ34xf2jUXP+Kr7z2i48++5eNFy+JnZp1Acw1EqETqeDrivLBo4edf9XccPC+9LSnimKiIioh6mUCjxxZxKKlk7Hnfpo/Lv0JDJWfopNFefELo1kjheKScSGDRu6NnDiRECvd6+jLSgAzGbAZOrZ4oiIiHrYYE0w3npiMgrKT+G5Dw4g961y3Dd2EH49NwUxYdz+izqPM7VyN3s2UFzsXlMbEeFeT3vXXWJXRUREdEsKhQIL0gfD/PQMZKbEYeO+szCs/BTvlp+Ci9tTUicx1ErEqlWrsGrVqs4PnDQJ2L0beOYZ9x62N2/vRUREJHGx4UEwPZaOVx5Jhb9KiZ8WfInv/bUUZxyXxS6NZKTTofa1115DY2Njb9TSr61evRqrV6/u/MCcnNZ3D/vkk54pioiIyIfuGTsI5qenY15qIrYeqcE9L29HUWUjZ23JK50OtS6XC2az2ePYJx2EqGPHjnX4eeqmhgbgqaeAP/wBeO0195+8PLGrIiIi6hJ1cAD+uGA8/vr4JAQHqLByew2e/MduVJ+/InZpJHGdCrUNDQ3Iz8+HVqv1OF5eXt5mcG1oaIBOp0NBQQGWL1/evUqptYYG4NVX3bfFra0FrFagrAyw28WujIiIqFtmjYjFRz+6A7O0oTAfqkbmS1uxce9ZscsiCevU7gdlZWVISkrC0aNHMWHChJbjCoUCDoej1ePz8/MxceJEvPLKK3j33Xdv+fyFhYUQBAFqtRo2mw0LFy5E6o37r/bQOLPZDEEQkJOTc8vnlrSICPdOB823zG1WUiJOPURERD1IHRwA4/Q4zLtNj19uOIAl/7Tg44p4/GZuCiJDAsQujySmU6F29uzZSEtLg1arhSAImDdvHhwOB37/+9+3OVNrMpnw7LPPAgDst5g9NJvNMJlMKC4ubjmWlpaGkpISqNXqHhvncDiQnZ3dd2aObw607R0jIiKSqXvGDMRt2mj8/L19eP/LM/hcqEPevLG4a2Sc2KWRhHR6Ta1arUZZWRleeeUVaLVapKWlYc2aNTDdtDdqSUkJ7HY7fvCDHwAAFi1a1OHzGo1G5ObmehwzGAzIz8/v0XHvvPMO0tPTO3xOMcyZMwdz5sxp/wG7dwMLFrjXzt6opIQXhhERUZ8XExaI/MfSsHLBeFy55sT3/1aGZ9/di4tXr4tdGklEl7b00mq1sFqtsNlscDqdmDdvHl544QUsWLAAr732GtatW4fs7Gz8/Oc/9/o5LRZLqyUDOp0Oa9eu7bFxZrNZkoEWAF566SW89NJL7T+gvNy9B+3s2e6LwZrNng3U1wPHjvV6jURERGJSKBR4KDURRUunY1qy+25k9/95G/aecohdGklAt+4olpSU1PL/EREReOedd/Duu++iqKgIeXl5t5ydbWaxWAAAGo3G47hGo4EgCD02ThAEGAwGr2qKjo6G4sZbzwK4dOmSV2N7hVoNOJ3AuHFQfPEFXE7nN5978EEoXn8driee6PTTOp1ONDU1wXnj85HksE/ywD7JB3slD+31KTY0AG98Nw1/23kcL246jIdW78BSQzIWTUuCSqlo59moN/XmORUcHNzqWFvbvHX7NrnHjh3DsGHDWj6eN28e5s2b16nn6Gi9bVsXoHVlXH5+fqcuDGvri1VZWen1+M56/vnnAaDdtb4xmzahZswYAEBEVRUabqol7MoVnO9CfU1NTbDb7bBarVAqeS8OqWKf5IF9kg/2Sh5u1adpsUD8vQnI21qFF4uOYNPeE3hmWhxiQrodb6iTevOcaiuTdSnU7t69G0ajEQqFAhkZGfjZz37m8fkXXngBzz77rEew7azmmVa73d7hRWFdHWexWDq97KC6uhrh4eGdGtMdZWVlAIDk5OS2H5Cbi8hf/hIukwkYPRqxNz1OsXUrBrY3tgNOpxNWqxV6vR4qlarT48k32Cd5YJ/kg72SB2/6lJwMzEgdhRc+Pox/7DqBH35wBr9/MAV3jxno42r7t948py5fbn1nucbGxla/qb9lqH3hhRdQVFQEAHjxxRexZ88ej+28Xn31VTz11FN45ZVXulxse4H0VjsmeDuurKys09t3qVQqUb7Rtfua6enuP1FRQFoaoFJ9c0tciwUQBPexLlAqlaK9X/Ie+yQP7JN8sFfy4E2fQgeo8Ny3xmLmiFgse3cvlvxrDxakJ+JXD6QgJJCztr7iy3Oqrde45fzwjetmn3nmmTYvwFq2bBleu/HipU5qTto3LxlwOBwd7jfrzbj8/HzYbDYYjcaWP4IgoLi4uOX/ZWPZMqCoyH2zhXnzAK0W0OmA4mLghRfEro6IiEhUhtFx+PjH0zAtORrvlJ3CA3/ZhkPnGsUui3zklj++REdHe3zc1hqGpKQk1NfXd7kItVoNg8EAQRA8QqzNZuvwwi5vxrU1Q2s2m5GRkYFly5Z1uWbRGAzuu4YB7juKRUSIWw8REZGExIYH4c3HJ+P1bUeR9/EhZP1lO36TlYIF6YNbXQBOfcstZ2pra2uxZ8+elo+joqLafFxn1sK2xWg0ttrrtqyszOPCKUEQkJ2d7TEz6824m3V08ZmsMNASERG1olQqsGi6Fu88ORXRoYEwvrsPT7/zJfe07eNuOVP77LPPYtKkSSgsLMT48ePb/SmnoaGhW4UYDAY4HA7k5+dDo9GgtLQUa9as8QjLgiDAbDZ7XBjmzbhmZrMZxcXFEAQBJpMJdXV1WL58ebcDeU9YvHix2CUQERH1KalDIrHxR3fip+98ifd2n8beUw6seiQVIwf67kJw8h2Fq631BDfJz8/HU089hfnz5wNAq3W1e/bswauvvopXX321d6r0ocbGRkRERKChocGnux+Ixel0orKyEsnJybxYQsLYJ3lgn+SDvZKHnuqTy+XCa5+5lyOolAouR+gFvj6n2sprXl0SmJOTA41GgwULFkChUEClUkGr1UKtVsPhcMBut+Po0aO9WjwRERFRVygU7uUIqUMj8V//tMD47j7sEuz43bfGYkAAf6jpK7zeHXf+/Pmor6/Hz372M0ycOBEulwsulwvz5s2DIAj9YlazN82dOxdz584VuwwiIqI+K21oJDb+aBruGhmLdbtP46FXduBEnYh3C6Ue1anN2yIiIpCXl9dbtfRrNptN7BKIiIj6vMiQALz23XT8ZbMVL5mP4IG/bMOfHp6AmSNixS6Nuon3BiQiIqJ+RalU4Eezk/HG9ybB5XLh8b+V4i+fVKKp6ZaXGZGEMdQSERFRvzRrZCze/687MSIuDH8oOoIn/1GO81euiV0WdRFDLREREfVbQ6NCsG7x7Zg7Ph5FB6qQtWo7rNXnxS6LuoChloiIiPq14AA//OnhCfjF/aNxvO4SHly1A58cqhK7LOqkTl0oRr1n5cqVYpdARETUbykUCjxxZxJGDwrH4rfL8cSbZfj5PaPwg2lJ3M9WJjhTKxGZmZnIzMwUuwwiIqJ+baouCuuX3Al9TCh+9+FBLCvci6vXnWKXRV5gqCUiIiK6wZCoYLy7+HbMHBGDgvJTePS1Xai7cFXssugWGGolIiUlBSkpKWKXQURERADCg/zx+vcm4Yk7k1B6rB5Zq7bj8DleQCZlDLVEREREbVApFfjF/aPxwkNjca7hCh5avR2bD1WLXRa1g6GWiIiIqAMPTx6Cf/zgNvj7KfHEm6X4564TYpdEbWCoJSIiIrqFKdoovPvU7UiIHICfv7cPL246BJeLdyCTEoZaIiIiIi/oYkKx7qk7MD4xAqs22/D0O1/iq+tNYpdFX2OoJSIiIvJSTFgg/pUzBYZRsXhv92k8/rcv0Mhb60oCQ61ErF+/HuvXrxe7DCIiIrqF4AA/vPpoGh6dMgTbrXVY8OpOnG24LHZZ/R5DrUTo9Xro9XqxyyAiIiIv+KmU+G3WGCy7ewQOnTuPeat3wFZzQeyy+jWGWomwWq2wWq1il0FEREReUigUWDxTj5ULxqPq/FUseHUn9p9uELusfouhViKysrKQlZUldhlERETUSQ+lJsL0aBrOX72Oh/M/xy6hTuyS+iWGWiIiIqJuMoyOw5uPTwYAfPeNL1BysErkivofhloiIiKiHjBVF4V/LZqCkEA/5LxVjv/sPi12Sf0KQy0RERFRDxmbGIF3cqciNiwQP1m7B299flzskvoNhloiIiKiHqSPDUXhU7djWFQwfvGf/XhzxzGxS+oXGGqJiIiIeliCegDW5k6FNjoEv9pQgde3HRW7pD6PoVYiKioqUFFRIXYZRERE1EPiwoPw75wp0MeG4rcfHMCarYLYJfVpDLVEREREvSQ2PAj/WjQFw+NC8bsPD+KVLTaxS+qzGGolYtOmTdi0aZPYZRAREVEPiwkLxL8WTcHIgWHI+/gQVm3mzZZ6g5/YBZDb008/DQBcgkBERNQHRYUG4p+LpuDR13bhxU2HEaBSYtF0rdhl9SmcqSUiIiLyAU1IAP7xg9taliJwu6+exVBLRERE5CPNwbZ5u6/C8lNil9RnSGr5QWFhIQRBgFqths1mw8KFC5Gamtoj4/Lz8wEADocDpaWlyMjIQE5OTq+8DyIiIqL2xIYF4e1FU7Dg1Z1YVvglgvyVuH9cvNhlyZ5kQq3ZbIbJZEJxcXHLsbS0NJSUlECtVndrnNFohE6nawmxDocDkZGR0Gq1MBgMvfJ+iIiIiNqToB6Afy66Ddmv7sRP/r0HQX4qGEbHiV2WrElm+YHRaERubq7HMYPB0DLD2p1xDofDI/Q2h12LxdLNqnuOTqeDTqcTuwwiIiLykaFRIXj7B7chfIA/Fv/Tgs+FOrFLkjXJhFqLxdJqyYBOp8PatWu7Pc5kMqGgoKDlY0Fwb37szdIGX9mwYQM2bNggdhlERETkQ8lxYfj79ye7d0P4exkOnWsUuyTZksTyg+YZU41G43Fco9G0BNCeHGcymTB//vwOlx5ER0dDoVB4HLt06VK7j5crp9OJpqYmOJ1OsUuhDrBP8sA+yQd7JQ/9pU+jBoZi9SMT8cSbZfje61+gIHcKEiIHiF1Wp/Rmr4KDg1sdc7lcrY5JItTa7fZ2P+dwOHpsXH5+PsrLywHAY+a2LW19sSorKzsc0x1vv/02AOCRRx7ptddoS1NTE+x2O6xWK5RKyUzc003YJ3lgn+SDvZKH/tSnWAA/vSMGL2ytxiNrduCP9yQgPEgldlle681etZXJJBtqm2da7XZ7hxeFdXdcTk4OHA4H8vPzkZ2djTVr1rQ7rrq6GuHh4V7X0l3r1q0DAPz617/22WsC7p+srFYr9Ho9VCr5nDz9DfskD+yTfLBX8tDf+pScDPiFHsNzHx7C8zsceOvxSRgQII/33Zu9unz5cqtjjY2NrX5TL4lQ216w7Ggmtqvj1Go1li1bBp1Oh0WLFrU7Y6tSqUQ5gcR4TaVSKdr7Je+xT/LAPskHeyUP/a1PP5iuQ83Fr2D6VMBP3vkSpsfSoVIqbj1QAnzZq7ZeQxJz+c1J++YlAw6Ho8OLubwdl52d3Wqng9TUVBQWFnajaiIiIqKeZ8wciW9NTID5YDWe//Cg2OXIhiRCrVqthsFgaHVxl81m6/BiLm/GCYKAwsLCVrO3giBAq+U9l4mIiEhalEoFXpg3FulDI/HatqP41xcnxC5JFiQRagH3frMmk8njWFlZGZYvX97ysSAIyM7O9piZvdU4rVaLZcuWeYRjQRBgsViQl5fXC++EiIiIqHsC/VQwPZaGwZoB+MV/9mOHrVbskiRPEmtqAfcNE5ov4tJoNCgtLW11IZcgCDCbzR4Xhnkzbvny5VixYgXq6uoQFRWF0tJSFBcXS+puYnPmzBG7BCIiIpKQqNBAvPG9SXho9Q489Q8L3lt8O7QxoWKXJVkKV1t7IvRjjY2NiIiIQENDg093PxCL0+lEZWUlkpOT+80ifDlin+SBfZIP9koe2Ce3T4/U4PG/foGhUSF4b/HtUAcHiF1SK77uVVt5TTLLD4iIiIiotRnDY/CrB1JwtPYifvTvPXA2cT6yLQy1ErF06VIsXbpU7DKIiIhIgr47dSgWpCdi65Ea/J/5iNjlSJJk1tT2d0VFRWKXQERERBKlUCjwm6wxOHTuPP78iRXjEtXIGB0ndlmSwplaIiIiIhkI8lfhlUfToAkJwNNr90CouSB2SZLCUEtEREQkEwnqAfjztyfi4lfXkftWOS5evS52SZLBUEtEREQkI3foo7Hs7pGorL6A5ev2gRtZuTHUEhEREclM7nQtDKPisOHLMygoPyV2OZLAC8UkYvHixWKXQERERDKhUCjw4vxxuPflz/Cr9RVIHaKGPjZM7LJExZlaiViyZAmWLFkidhlEREQkE5EhAXj52xNx9boTP/znbly55hS7JFEx1BIRERHJ1KRhGiw1DMehc+fxu40HxS5HVAy1EjF37lzMnTtX7DKIiIhIZhbP0mOqNgpvfX4cmyrOiV2OaBhqJcJms8Fms4ldBhEREcmMSqnA/z08Aepgf/x83T7UXrgqdkmiYKglIiIikrm48CD8NmsM6i5+hf95b3+/3OaLoZaIiIioD3hgfDzuGzcIH1ecw3/2nBa7HJ9jqCUiIiLqI57LGoPo0ED8cn0FzjZcFrscn2KoJSIiIuojIkMCkDdvLM5fuY5lhXv71TIE3nxBIlauXCl2CURERNQHzB4Vh+y0RBSUn8I6y2nMS0sUuySfYKiViMzMTLFLICIioj7if+4bjc2Ha/DcxgOYOSIGUaGBYpfU67j8gIiIiKiPiQj2xy8fGI36S9f6zU0ZGGolIiUlBSkpKWKXQURERH3EA+MGYeaIGKzbfRrbKmvFLqfXMdQSERER9UEKhQK/zRqDAf4q/Py9fbj8lVPsknoVQy0RERFRHzVYE4ynM4bjhP0SXvm0b9+5lKGWiIiIqA/7f3cMQ3JsKEyf2nCq/pLY5fQahloiIiKiPsxfpcSvHkjB1etN+P2HffeiMYZaIiIioj7uzuRozBkdhw/3ncMOW9+8aIyhViLWr1+P9evXi10GERER9VH/c99oBPgp8b8bDuC6s0nscnocQ61E6PV66PV6scsgIiKiPmpIVDBypmlxuOo8/l16UuxyehxDrURYrVZYrVaxyyAiIqI+7KmZOkSHBuBPJZV9bosvhlqJyMrKQlZWlthlEBERUR8WEuiH/7orGTXnr+KN7UfFLqdHMdQSERER9SPfnjwEQzTBePVTGxyXvhK7nB7jJ3YBNyosLIQgCFCr1bDZbFi4cCFSU1N7ZNyKFStQV1cHh8MBQRBgNBphMBh6660QERERSVKAnxI/nTMcP/73HryyxYbl944Su6QeIZlQazabYTKZUFxc3HIsLS0NJSUlUKvV3RpnNBqxfPnylo8tFgvS0tJQXFzMYEtERET9zgPj4vHqpwL+uuMYHr8jCQMjgsQuqdsks/zAaDQiNzfX45jBYEB+fn63xzXP5DZLTU2FwWBAXl5eD1ROREREJC9KpQLPZA7HV9eb8GofuX2uZEKtxWJptWRAp9Nh7dq13R5nt9s9Qi0AqNXqVseIiIiI+otZI2IxJiEc//riBGrOXxW7nG6TxPIDi8UCANBoNB7HNRpNh8HT23H19fVtju1ovW50dDQUCoXHsUuXeu9+yXv37gUAOJ2+3V7D6XSiqanJ569LncM+yQP7JB/slTywT71v8QwdFv9zN/K32vDs3SO6/Dy92avg4OBWx1wuV6tjkgi1dru93c85HI4eH2exWCAIgsc63Ju19cWqrKxs9/Fy1dTUBLvdDqvVCqVSMhP3dBP2SR7YJ/lgr+SBfep9w/xdGKYOwFs7j8GQ4EJEkKpLz9ObvWork0k21DbPtNrt9g4vCuupcdnZ2SguLoZWq233MdXV1QgPD/f6Obtr06ZNAIDMzEyfvSbg/snKarVCr9dDperaX2TqfeyTPLBP8sFeyQP75Bs/yQzDT9Z+iU/PKfHTjOQuPUdv9ury5cutjjU2Nrb6Tb0kQm17gbSjmdiujsvNzUVeXt4tdz1QqVQ+PYGeeeYZAMC9997rs9dsplQqff5+qfPYJ3lgn+SDvZIH9qn3PTA+AX8qseLtXSfxw7uSERzQtXjoy1619RqSmMtvTto3LxlwOBwdrnvt7LgVK1YgIyMD8+fP717BRERERH2ESqnA9+8YhobL1/Bu+Smxy+kySYRatVoNg8HQ6qIwm83W4YxqZ8YVFhZCq9V6BNpbbRdGRERE1B/MS0tExAB/vLH9GJqaWq9XlQNJhFrAvd+syWTyOFZWVobly5e3fCwIArKzsz1mZr0ZZ7FYUFxcDLVaDbPZDLPZjMLCQthsfWNfNiIiIqLuCA7ww7cnD8HR2ovYcqRa7HK6RBJragH3DRMcDgfy8/Oh0WhQWlqKNWvWeKybFQQBZrPZ48Iwb8bNnj275TE34s0XiIiIiNy+d/tQvPaZgNe3HcVdI+PELqfTJBNqAXgsDWhr3avBYGhzz9lbjWtrjNTodDqxSyAiIqJ+bFDEANw7dhA2fHkGR6rOY3hcmNgldYpklh/0dxs2bMCGDRvELoOIiIj6se9OHQoA+NcXJ0SupPMYaomIiIgIAJA2NBL62FC8t/s0rlyT153cGGolYtWqVVi1apXYZRAREVE/plAo8PCkwXBcuoZNFefELqdTGGolYvXq1Vi9erXYZRAREVE/91BqIgJUSvxzl7yWIDDUEhEREVELTUgA7h4zELuO2iHUXBC7HK8x1BIRERGRhwXpgwEA/9lzRuRKvMdQS0REREQepuqiEBMWiA17TsPlkscdxhhqiYiIiMiDSqnAA+PicazuEvaeahC7HK8w1ErEnDlzMGfOHLHLICIiIgIAZE2IBwCsl8kSBEndUaw/e+mll8QugYiIiKjFuMQIDIsKxvt7z+C/7xsFlVIhdkkd4kwtEREREbWiUCgwd3w8as5fxa6jdWKXc0sMtRKxdOlSLF26VOwyiIiIiFpkjhkIACg+UCVyJbfGUCsRRUVFKCoqErsMIiIiohajB4UjQT0AxQeqJL8LAkMtEREREbVJoVAgY3QcTtVfxqFz58Uup0MMtURERETUrjmj4wAARRXSXoLAUEtERERE7ZqUpEHEAH8UHzwndikdYqglIiIionb5q5SYPjwG+083ovbCVbHLaRf3qZWIxYsXi10CERERUZum6aPx/pdnsN1ai6wJCWKX0yaGWolYsmSJ2CUQERERtemO5GgAkHSo5fIDIiIiIupQgnoAtNEh2FZZK9mtvRhqJWLu3LmYO3eu2GUQERERtenO5GicabgCofai2KW0iaFWImw2G2w2m9hlEBEREbXpDr17CcIOa63IlbSNoZaIiIiIbmnSMA0AoPx4vciVtI2hloiIiIhuSRMSAG1MCMoYaomIiIhIztKHRuJU/WVUNV4Ru5RWGGqJiIiIyCtpQyMBABYJztZyn1qJWLlypdglEBEREXWoOdSWH6/HPWMHiVyNJ4ZaicjMzBS7BCIiIqIOaaNDETHAH7tPOsQupRUuPyAiIiIiryiVCqTEh+Pg2UY0NUnrJgwMtRKRkpKClJQUscsgIiIi6tDoQeG49JUTx+qkdRMGhloiIiIi8lpKQjgA4MDZRpEr8SSpNbWFhYUQBAFqtRo2mw0LFy5Eampqj4xzOBwoKyuD0WhEQUEBtFptb70NIiIioj5r9KAIAEDFmUbcPy5e5Gq+IZlQazabYTKZUFxc3HIsLS0NJSUlUKvV3RpnsVhgNpuRmpoKi8XSW2+BiIiIqM/TxYQg0E+JA2ekNVMrmeUHRqMRubm5HscMBgPy8/O7PS41NRXLli1Denp6zxVMRERE1A/5qZQYHheGQ+cYattksVhaLRnQ6XRYu3Ztr4wjIiIioq7RxYSgqvEqLly9LnYpLSSx/KB5SYBGo/E4rtFoIAhCj4/zRnR0NBQKhcexS5cudes5O7Ju3ToAgNPp7LXXaIvT6URTU5PPX5c6h32SB/ZJPtgreWCfpGtYVDAAwFrViLEJEb3aq+Dg4FbHXK7W24lJItTa7fZ2P+dwOHp8nDfa+mJVVlZ26zm94YvXuFFTUxPsdjusViuUSslM3NNN2Cd5YJ/kg72SB/ZJuoKvXwAA7NxvQ9ClsF7tVVuZTLKhtnmm1W63d3hRWE+N80Z1dTXCw8N79Dk7YrVaAQB6vd5nrwm4fwq2Wq3Q6/VQqVQ+fW3yHvskD+yTfLBX8sA+Sdf10Ebg0ypcVIUhOTm5V3t1+fLlVscaGxtb/aZeEqG2vUDa0Uxsd8Z5Q6VS+fQEeuihhwAAFRUVPnvNZkql0ufvlzqPfZIH9kk+2Ct5YJ+kSRfrnvg7WneppTe+7FVbryGJufzmpH3zkgGHw9HhPrVdHUdEREREXTcgQIX4iCAcq5XOXcUkEWrVajUMBkOri7tsNhsMBkOPjyMiIiKi7kmMDMZpR+ulAWKRRKgF3PvNmkwmj2NlZWVYvnx5y8eCICA7O9tjZtabcURERETUsxIiB8Bx6RouSmRbL0msqQXcN0xwOBzIz8+HRqNBaWkp1qxZ47FuVhAEmM1mjwvDvB1nMplaZnRzc3ORmpqK3Nxc3i6XiIiIqAvi1UEAgLMNl5EU1XrbLV+TTKgFgPnz57f5/80MBgPq6+s7PU6r1SIvL6+HqiQiIiKiBLU7yJ6qZ6ilG4ix6wERERFRVzXP1J5xXBG5EjfJrKklIiIiIvlIjBwAADjt6L07rnYGQ61EbNq0CZs2bRK7DCIiIiKvxIa7Z2przl8VuRI3Lj+QiKeffhoAlyEQERGRPIQF+iHAT4naC1+JXQoAztQSERERURcoFApEhwSg7oI0ZmoZaomIiIioS6JCAzlTS0RERETyFhUagNoLV+FyucQuhaGWiIiIiLomOjQQV6834eJXTrFL4YViUqHT6cQugYiIiKhTokIDAAC1ElhXy1ArERs2bBC7BCIiIqJOiQx2h9qGS9cg9j3FuPyAiIiIiLokLMg9P9p45brIlTDUSsaqVauwatUqscsgIiIi8lpYkD8A4DxDLTVbvXo1Vq9eLXYZRERERF4L/3qm9vyVayJXwlBLRERERF3UMlN7lTO1RERERCRT38zUMtQSERERkUyFD3DP1DZy+QERERERyVWYhGZquU+tRMyZM0fsEoiIiIg6ZYC/CgBwmXcUo2YvvfSS2CUQERERdYpCoUCQvxJXrjWJXQqXHxARERFR1wX5q3D5mvgztQy1ErF06VIsXbpU7DKIiIiIOiXIT4Wr18UPtVx+IBFFRUVil0BERETUaVx+QERERESyF+SvwhUuPyAiIiIiOWOoJSIiIiLZ4/IDIiIiIpK9IH8VrvBCMWq2ePFisUsgIiIi6rQgPxWuXGtCk8slah0MtRKxZMkSsUsgIiIi6rQBAe67il1zihtqufyAiIiIiLosyN8dJ79iqCUAmDt3LubOnSt2GURERESdEujnnqm9ep3LDwiAzWYTuwQiIiKiTmtefnDVKe4OCJIKtYWFhRAEAWq1GjabDQsXLkRqamqPjOvqcxMRERFR+4I4U+vJbDbDZDKhuLi45VhaWhpKSkqgVqu7Na6rz01EREREHeOa2psYjUbk5uZ6HDMYDMjPz+/2uK4+NxERERF1rGX5gcgztZIJtRaLpdVyAJ1Oh7Vr13Z7XFefm4iIiIg61rz84Oz5a6LWIYnlBxaLBQCg0Wg8jms0GgiC0K1xXX3u6OhoKBQKj2OXLl3q6G10y4svvggAcDp9e0cOp9OJpqYmn78udQ77JA/sk3ywV/LAPslDSIB7jrTs9KVe6VVwcHCrY642bvQgiVBrt9vb/ZzD4ejWuK4+d1tfrMrKynYf311arbbXX6MtTU1NsNvtsFqtUColM3FPN2Gf5IF9kg/2Sh7YJ3lIUDUhd5IGUaqrvdKrtjKZZENt8yyq3W7v1IVb3ozr6nNXV1cjPDzc68fLldPphNVqhV6vh0qlErscagf7JA/sk3ywV/LAPsnH6OG916vLly+3OtbY2Njqt/CSCLXthc2OZlm9HdfV51apVD49gVJSUgAAFRUVPnvNZkql0ufvlzqPfZIH9kk+2Ct5YJ/kw5e9aus1JDGX35y0b14O4HA4OtxL1ptxXX1uIiIiIpIPSYRatVoNg8HQ6sItm80Gg8HQrXFdfW4iIiIikg9JhFrAvZesyWTyOFZWVobly5e3fCwIArKzsz1mXb0Z581jiIiIiEi+JLGmFnDfDMHhcCA/Px8ajQalpaVYs2aNx5pYQRBgNps9LvryZpw3jyEiIiIi+ZJMqAWA+fPnt/n/zQwGA+rr6zs9ztvHEBEREZE8SSrU9mfr168XuwQiIiIi2WKolQi9Xi92CURERESyJZkLxfo7q9UKq9UqdhlEREREssSZWonIysoC4PubLwQHB8PlcrV5tw6SDvZJHtgn+WCv5IF9kg8p9IoztUREREQkewy1RERERCR7DLVEREREJHsMtUREREQke7xQ7CYulwsA0NjY6NPXdTqdoryuy+WCy+VCY2MjVCqVT1+bvMc+yQP7JB/slTywT/Lh614156Xm3AYACteNHxFOnTqFwYMHi10GEREREd3CyZMnkZiYCIChtpWmpiacOXMGYWFhUCgUYpdDRERERDdxuVw4f/484uPjoVS6V9My1BIRERGR7PFCMSIiIiKSPYZaIiIiIpI9hloiIiIikj1u6dWHrVixAnV1dXA4HBAEAUajEQaDoeXzFosFixYtgsFggE6ng8PhQHFxMYqLiz2ep7CwEIIgQK1Ww2azYeHChUhNTe30Y6htt+oT0HM9YJ+6x+FwoKysDEajEQUFBdBqtR6f5zklDbfqE8BzSop4/siTpL7WLuqTli1b5qqvr2/5uLy83AXAVVxc7HFMq9W6ALjUarUrJyfHY4zL5XIVFxe7DAaDx7HU1FSPx3nzGGqbN33qqR6wT91TXl7uysvLcxUXF7sAuGw2W5uP4TklLm/6xHNKmnj+yI/UvtYMtX2UVqt1lZeXexwzGAwef/nKy8s9wlNbUlNTXQUFBR7Hli1b5srLy+vUY6ht3vSpp3rAPvWM+vr6DkMtzylp6KhPPKekieeP/Ejta801tX2U3W6HIAgex9Rqdatjt2KxWFr9GkGn02Ht2rWdegy1zZs+9VQP2CdpYK/Ex3NKvtgXaZHa15pravuo+vr6Vsfa+stnsVggCAI0Gg1KS0s91sJYLBYAgEaj8Rij0WhaQpc3j6H23apPPdUD9sl3eE5JG88paeP5Ix9S/Foz1PYTzd8oblxwr1aroVarkZOTAwAwGAxISkrC0aNHoVarYbfb230+h8MBAF49hrx3c596qgfsk2/wnJI+nlPSxfNHXqT4tebyg34iOzsbxcXFHlcBa7Xalm8egPsbSnp6OoxGI4Bvfvrq6C+uN48h793cp57qAfvkGzynpI/nlHTx/JEXKX6tOVMrcWazGXl5eV49Ni8vr81tNHJzc5GXl9dqm6i2aLValJWVAXB/Q2nLjX+BvXlMf9BbfeqpHrBP3+iJXnUGz6mu6a0+8ZzqfT3ZO54/0iXFrzVDrcQZDAavwmh7VqxYgYyMDMyfP7/V5yIjI1FQUNDq+Zt/bdD8U9jNv0ZwOBwt34S8eUx/0Ft96qkesE/f6G6vOsJzquf0Vp94TvW+rvaO54+8SPFrzeUHfVhhYSG0Wq1HUMrPz2/5//T0dKSnp3uMEQSh5RuKWq2GwWBoteDbZrN16jHUsY761FM9YJ98g+eU9PGcki6eP/Iiya+1KBuJUa8rLy935eTkuIqLi1v+FBQUuJYtW9byGJPJ5LFBss1mc6nVam5A7kPe9IkbxUtLR/uf8pySjo76xHNKmnj+yI/UvtYKl8vlEidOU2+KjIxs8+rDvLw8LFu2rOXjFStWAEDLbVrz8vJarZMpLCyE3W5vc4uVzjyGWvO2Tz3VA/ap6wRBgMlkgiAIKCwshMFgQGpqKnJzcz0uwOQ5JS5v+8RzSpp4/siPlL7WDLVEREREJHtcU0tEREREssdQS0RERESyx1BLRERERLLHUEtEREREssdQS0RERESyx1BLRERERLLHUEtEREREssdQS0RERESyx1BLRERERLLnJ3YBRET0DZ1OB7vdjvT0dKjVamg0GpjN5pZjWq0WdrsdgiBAEATk5OQgLy8PgPsWsWlpaVizZg3mz58v8jshIvIthloiIgmx2+0oLy+HVqttOWY0GrFixQqYTCaP4ytWrEBpaWnLxw6Hw5elEhFJCpcfEBFJhMPhQE5Ojkdw7ciyZcug0WhaPk5NTUV9fT1naYmoX2KoJSKSCLvdjkmTJnVqjFqt7p1iiIhkhqGWiEhCUlNTO/X4zoZgIqK+imtqiYgkwttlBzdqXmogCAJyc3NRVlbmcfGYxWKB0WhEWVkZli9fDoPBgLKyMjgcDhQXF8NoNMJgMCA/Px8AYLPZIAgC1qxZ02oWWBAE5OXlIS0tDTabDQBaXoeISGwMtUREfYBWq0VxcTF0Op3H8dTU1JbjpaWlSE1NRU5OTsuYjIwMmEwmLFiwoCXEZmRkwGg0wmQytTyPxWLB7NmzcfTo0ZbHGY1GZGdno6CgwCfvkYioIwy1RER9SHuzvWq1GoIgwGAwtBxrXurgcDg8ZmVTU1NRWFjoMT47Oxs5OTkej1u+fDkiIyMhCEKXZpmJiHoS19QSEfUT6enpHh8375xw8zreqKgoj4+b98S9ef2uWq2GWq2GxWLphWqJiDqHM7VERP3cjduCtaU5tJaWlsJut3t8Li8vr9MXtxER9QaGWiIi6lDz0oKMjAyP5QtERFLC5QdERNSh1NRUqNVqFBcXt/qcw+Hg8gMikgSGWiIimfDmNrh2u93r2+XevJSgo8+VlJQgPz8fgiB4HH/++ed5kRgRSQKXHxARSVDznrB2ux1msxkAsGjRIqSnp0OtVrfaH9ZiscBkMsFisbQEz+aPbz6el5eHd955p2UrrkWLFmHhwoVYtmwZcnNzYTab4XA4kJ2djdzcXBgMBqSmpqK8vBx5eXnQ6XRQq9VwOBxYvnw572pGRJKgcLlcLrGLICIiIiLqDi4/ICIiIiLZY6glIiIiItljqCUiIiIi2WOoJSIiIiLZY6glIiIiItljqCUiIiIi2WOoJSIiIiLZ+/96yOWRTq25ngAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "obj.plot_eccentricity()" ] }, { "cell_type": "markdown", "id": "e5d35647-c96a-4e70-a341-800e51f7da93", "metadata": {}, "source": [ "## 3. Compare with gw-eccentricity package" ] }, { "cell_type": "markdown", "id": "bfe61925-8198-46cd-93b7-bf8d750b9c8f", "metadata": {}, "source": [ "For this part to run, you need to install the gw-eccentricity package:\n", "\n", "```\n", "pip install gw-eccentricity\n", "```" ] }, { "cell_type": "code", "execution_count": 6, "id": "0629ca01-98a5-43e4-b2db-65422e44c8a0", "metadata": {}, "outputs": [], "source": [ "import gwtools\n", "# You need to have gw-eccentricity package from https://github.com/vijayvarma392/gw_eccentricity\n", "from gw_eccentricity import measure_eccentricity\n", "from gw_eccentricity import get_available_methods" ] }, { "cell_type": "code", "execution_count": 7, "id": "1fd2cc9b-f70b-4044-b3a1-2a1a911dbd12", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ">>> Warning: Requested samples are outside of interpolated domain.\n" ] } ], "source": [ "# Setup dataDict (Note the required format)\n", "t_common = np.linspace(min(obj.time_xi), 100, 10000)\n", "\n", "# Setup dataDict (Note the required format)\n", "dataDict = {\"t\": t_common,\n", " \"hlm\": {(2, 2): gwtools.interpolate_h(t_ecc, hecc_dict['h_l2m2'], t_common)},\n", " \"t_zeroecc\": t_common,\n", " \"hlm_zeroecc\": {(2, 2): gwtools.interpolate_h(t_cir, hcir_dict['h_l2m2'], t_common)}}\n", "\n", "tref_in = -2350\n", "return_dict = measure_eccentricity(tref_in=tref_in,\n", " method='ResidualAmplitude',\n", " dataDict=dataDict)\n", "gwecc_object = return_dict[\"gwecc_object\"]" ] }, { "cell_type": "code", "execution_count": 8, "id": "e4f337ce-a078-4b1f-97e1-ee77d0e160de", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# comparison\n", "plt.figure(figsize=(8,5))\n", "plt.plot(gwecc_object.t_for_checks, gwecc_object.ecc_for_checks, label='$e_{\\\\rm gw}$: gw-eccentricity')\n", "plt.plot(obj.time_xi, obj.ecc_xi, label='$e_{\\\\xi}$: gwModels')\n", "plt.legend()\n", "plt.xlabel('Time')\n", "plt.ylabel('Eccentricity')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3c576b70-058b-4102-a62b-ccbebc9e0fd3", "metadata": {}, "source": [ "## 4. Diagnostic plots of all modulation parameters, fits and gwModels eccentricity" ] }, { "cell_type": "code", "execution_count": 9, "id": "ba59fe75-dfff-4297-a118-b7337b0b64d1", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the amplitude modulation obtained from the 22 mode\n", "obj.plot_xi()" ] }, { "cell_type": "code", "execution_count": 10, "id": "edff21ba-de36-4a0a-ae7e-a8d758e96272", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# find the peak of the modulation time series\n", "obj.plot_xi_with_peaks()" ] }, { "cell_type": "code", "execution_count": 11, "id": "8346f66c-c7a9-479c-82d6-0b4f65583700", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# fit maximas in the modulation time series\n", "# this gives the upper envelop of the modulation xi\n", "obj.plot_maximas_fit()" ] }, { "cell_type": "code", "execution_count": 12, "id": "4eb38088-a9b6-42c0-b306-03c259787e69", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# fit absolute value of the minimas in the modulation time series\n", "# this gives the lower envelop of the modulation xi\n", "obj.plot_minimas_fit()" ] }, { "cell_type": "code", "execution_count": 13, "id": "1e47c00d-3449-4ae3-a51a-aa655ddaa85c", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# show both upper and lower envelop fits together\n", "obj.plot_maximas_and_minimas_fit()" ] }, { "cell_type": "code", "execution_count": 14, "id": "380e57f2-9b60-4832-b167-049541ff778c", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# obtain average envelop for the modulation params\n", "obj.plot_maximas_minimas_and_avg_fit()" ] }, { "cell_type": "code", "execution_count": 15, "id": "4c817ad9-918d-4443-a205-543b7e2ee105", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# obtain eccentricity from the average envelop of the modulation params and ecc pre-factor=2/3\n", "obj.plot_eccentricity()" ] }, { "cell_type": "markdown", "id": "d83db89d-c69c-4de0-8493-58e742415700", "metadata": {}, "source": [ "## 5. Calculate smooth $e_{\\rm gw}$ and $e_{\\omega}$ directly from gwModels using $e_{\\xi}$ envelops" ] }, { "cell_type": "code", "execution_count": 16, "id": "a49d60f8-56ae-497f-b2bc-06a6b24f7593", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "... gwModels ecc_omega_22 at t_ref=-2638.56 : 0.05993\n", "... gwModels ecc_gw at t_ref=-2638.56 : 0.07979\n" ] } ], "source": [ "# eomega22 and egw\n", "eobj = gwModels.ecc_measures.ComputeEccentricityFromOmega(time_xi=obj.time_xi, \n", " xi_lower=obj.xi_lower,\n", " xi_upper=obj.xi_upper,\n", " gwnrhme_obj=obj.gwnrhme_obj, \n", " ecc_prefactor=obj.ecc_prefactor,\n", " t_ref=obj.t_ref)" ] }, { "cell_type": "code", "execution_count": 17, "id": "e669d27e-af22-47b5-ab69-1089d9544dc2", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,5))\n", "plt.plot(gwecc_object.t_for_checks, gwecc_object.e_omega_gw, c='c', ls='-', alpha=0.5, \n", " label='$e_{\\\\omega_{22}}(t)$ (from gw-eccentricity)', lw=3)\n", "plt.plot(obj.time_xi, eobj.ecc_omega22, c='k', alpha=0.8, lw=2, ls='-.', label='$e_{\\\\omega_{22}}(t)$ (from gwModels)')\n", "plt.plot(gwecc_object.t_for_checks, gwecc_object.ecc_for_checks, c='maroon', alpha=0.5, \n", " label='$e_{\\\\rm gw}(t)$ (from gw-eccentricity)', lw=3)\n", "plt.plot(obj.time_xi, eobj.ecc_gw, c='k', alpha=0.8, lw=2, ls='--', label='$e_{\\\\rm gw}(t)$ (from gwModels)')\n", "plt.xlabel('$t/M$')\n", "plt.ylabel('$\\\\rm Eccentricity$')\n", "plt.ylim(0.00,0.1)\n", "plt.legend(frameon=False)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "id": "f006655f-f1bb-4b4a-95c1-f8ada0cb706c", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,5))\n", "plt.plot(obj.time_xi, obj.ecc_xi, label='$e_{\\\\xi}(t)$: (from gwModels)')\n", "plt.plot(obj.time_xi, eobj.ecc_gw, c='k', alpha=0.8, lw=2, ls='--', label='$e_{\\\\rm gw}(t)$ (from gwModels)')\n", "plt.xlabel('$t/M$')\n", "plt.ylabel('$\\\\rm Eccentricity$')\n", "plt.ylim(0.00,0.082)\n", "plt.legend(frameon=False)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "99cc7aeb-7639-4b8c-bcda-e2e51659e058", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "kitp-py310", "language": "python", "name": "kitp-py310" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.18" } }, "nbformat": 4, "nbformat_minor": 5 }