{ "cells": [ { "cell_type": "markdown", "id": "d70f4e67-0167-44ca-a77f-eb8c41479a23", "metadata": {}, "source": [ "## Post-merger late-time tail analysis example\n", "\n", "- This example is based on the paper \"Phenomenology and origin of late-time tails in eccentric binary black hole mergers\" by Islam, Faggioli, Khanna, Field, van de Meent and Buonanno.\n", "- Here, we inspect waveforms produced by merging eccentric binary black holes (BBH). These waveforms are all generated using black hole perturbation theory.\n", "- The trajectories are described by the dynamics of the point-particle orbiting the Kerr black hole using effective-one-body formalism: http://arxiv.org/abs/gr-qc/9811091, http://arxiv.org/abs/gr-qc/0001013, http://arxiv.org/abs/2405.19006. These trajectories are then fed into the time-domain Teukolsky solver developed by Gaurav Khanna and collaborators: http://arxiv.org/abs/gr-qc/0703028, http://arxiv.org/abs/0803.0317, http://arxiv.org/abs/0803.0317, http://arxiv.org/abs/1003.0485, http://arxiv.org/abs/1108.1816, http://arxiv.org/abs/arXiv:2010.04760." ] }, { "cell_type": "code", "execution_count": 1, "id": "27107bfa-8257-457f-a1db-411b2a8fda59", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "from matplotlib import cm\n", "import matplotlib.patches as mpatches\n", "matplotlib.rcParams['mathtext.fontset'] ='stix'\n", "matplotlib.rcParams['font.family'] = 'STIXGeneral' \n", "matplotlib.rcParams['axes.linewidth'] = 1 #set the value globally\n", "plt.rcParams[\"figure.figsize\"] = (6,6)\n", "plt.rcParams['font.size'] = '18'\n", "plt.rc('text', usetex=True)" ] }, { "cell_type": "markdown", "id": "9e02973d-940e-4a1a-9faf-493c2168d527", "metadata": {}, "source": [ "## 1. Import gwtails" ] }, { "cell_type": "code", "execution_count": 2, "id": "4dce126e-5463-4560-8c43-b69c0cdaff4a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cannot import LAL\n" ] } ], "source": [ "import sys\n", "# provide a path for the gwtails package\n", "PATH_TO_GWTAILS = \"/Users/tousifislam/Research/projects/stupid/gwtails/\"\n", "sys.path.append(PATH_TO_GWTAILS)\n", "import gwtails\n", "from gwtails import PostMergerAmplitudeFit" ] }, { "cell_type": "code", "execution_count": 3, "id": "6d827562-1c90-4d2e-a33a-3ebebe09c274", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on class PostMergerAmplitudeFit in module gwtails.tails:\n", "\n", "class PostMergerAmplitudeFit(builtins.object)\n", " | PostMergerAmplitudeFit(t=None, f=None, filename=None, qinput=1000, throw_junk_until_indx=None, qnm_fit_window=None, tail_fit_window=None, crossterm_fit_window=None, fit_tail_envelop=False, m1_to_M_scale=True)\n", " |\n", " | Class to fit post-merger late-tile tail data\n", " |\n", " | Methods defined here:\n", " |\n", " | __init__(self, t=None, f=None, filename=None, qinput=1000, throw_junk_until_indx=None, qnm_fit_window=None, tail_fit_window=None, crossterm_fit_window=None, fit_tail_envelop=False, m1_to_M_scale=True)\n", " | Parameters:\n", " | -----------\n", " | t : array-like, optional\n", " | Time array. Default is None - in that case you should provide a filename\n", " | that contains the strain/psi4.\n", " | f : array-like, optional\n", " | Function array - it could be strain h_lm or psi4_lm. Default is None -\n", " | in that case you should provide a filename that contains the strain/psi4.\n", " |\n", " | filename : str, optional\n", " | Name of the waveform data file (Required); should be in .txt or .dat format;\n", " | columns should have the following format: time, h_real, h_imag, ..\n", " | Default is None - in that case you should provide (time 't' and strain/psi4 'f').\n", " | qinput : float, default 1000\n", " | Mass ratio values with qinput>=1.\n", " |\n", " | throw_junk_until_indx : int, optional\n", " | Last index until which data should be discarded before applying qnm or tail fits;\n", " | Default is None.\n", " | tail_fit_window : list, optional\n", " | Provide a window for fitting tail coefficients only; e.g. [200,800] (in M);\n", " | Default is None (in that case no tail fit is performed).\n", " | qnm_fit_window : list, optional\n", " | Provide a window for fitting qnm coefficients only; e.g. [200,800] (in M);\n", " | Default is None (in that case no qnm fit is performed).\n", " | crossterm_fit_window : list, optional\n", " | Provide a window for fitting cross-term coefficients only; e.g. [100,200] (in M);\n", " | Default is None (in that case no cross-term fit is performed).\n", " | fit_tail_envelop : bool, default False\n", " | Whether the data has oscillatory tail behaviour - in which case, we fit the tail envelop.\n", " |\n", " | m1_to_M_scale : bool, default True\n", " | Whether a mass-scale transformation from m1 (mass of the primary) to total mass M is needed.\n", " |\n", " | freq(time, h, s=0.1)\n", " | Calculate frequency from phase derivative.\n", " |\n", " | plot_interpolated_amplitude(self)\n", " | Plots interpolated amplitudes after time shift or junk removal.\n", " |\n", " | plot_raw_amplitude(self)\n", " | Plots raw amplitudes without time shift or junk removal.\n", " |\n", " | qnm_and_tail_fit_func(self, t, phi_tail, omega)\n", " | Combined QNM + tail + cross-terms fitting function.\n", " |\n", " | qnm_fit_func(self, t, Aqnm, tau)\n", " | QNM exponential decay function.\n", " |\n", " | tail_fit_func(self, t, Atail, c, n)\n", " | Tail power-law decay function.\n", " |\n", " | ----------------------------------------------------------------------\n", " | Data descriptors defined here:\n", " |\n", " | __dict__\n", " | dictionary for instance variables\n", " |\n", " | __weakref__\n", " | list of weak references to the object\n", "\n" ] } ], "source": [ "help(PostMergerAmplitudeFit)" ] }, { "cell_type": "markdown", "id": "5c841af6-a2de-41ee-bf2d-26a503fbff24", "metadata": {}, "source": [ "## 2. Analyze post-merger waveforms" ] }, { "cell_type": "code", "execution_count": 4, "id": "a71ab61a-d761-471e-9859-2e79121eac6b", "metadata": {}, "outputs": [], "source": [ "# import data file\n", "# this is for a merging binary with \n", "# mass ratio q=1000, eccentricity e=0.9 and spin a=0.0\n", "file = 'hm02_ecc_p09_e09_a00_q_1000.dat'" ] }, { "cell_type": "code", "execution_count": 5, "id": "245803fd-a934-4254-aaa9-17ec33e7ea8a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ".......... Data read. Shape: (11, 11500)\n", "..... time and strain/psi4 data is loaded\n", "..... waveform mass-scale changed from m1 to M\n", "..... strain/psi4 is cast onto a common time grid\n" ] } ], "source": [ "# pass it too gwtails without doing anything\n", "# we will check the raw data first\n", "rd = PostMergerAmplitudeFit(filename=file)" ] }, { "cell_type": "code", "execution_count": 6, "id": "edc4b4e1-e831-4ff4-b439-8a7c1358fb83", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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OTTpWrlwpK1asEK+r4rAUEREFiO+HpZLRi/k5NRznGpqPOzo64pcdO3aIF7FyQ0REQcLKTQ6Vlpaqy5o1a9Slu7tbvIj7SxERUZD4vnKDGVFODcO618btNWkWL14se/fulS1btogXsaGYiIiCxPfhBlOznTaw1KEnaOvSZBuHpYiIKEh8H26w9oxT5aa5uTmjRfuyBUNS06ZNkzlz5ogXcViKiIiCxPfhZt68eWr4yS7gYC2aRYsWids4LEVERJQ/vgg3GHZyWqsGU7XXr1+vtkawBhv02jQ1NeXpKIMxLDU4OOj24RAREQVzthQWzMOqwKjI6AuGoBBmsCGmGVrwMa5HwGloaIj34KRaZC9f/DJbqq9f5NTpQbVTOBERkV9FBvlWPW+wbUNjY6Ps3r3bU03OeAnM/vyrMjAgsuGbU2RCjWczLxERhdSeEZxDfTEsRbkViUTYd0NERIHBcJMHXp8tBQw3REQUFAw3eeD12VLA6eBERBQUDDeksHJDRERBwXBDClcpJiKioOC0mDzw+lRw4LAUEREFBSs3eeCHnhtWboiIKCgYbkhhzw0REQUFww0pDDdERBQUDDeUMCzFnhsiIvI7hhtSWLkhIqKg4GypPOBsKSIiovxh5SYP/DBbyqzccC9VIiLyM4YbSgg3ff0ip04z3BARkX8x3JBSVhqRwtirgUNTRETkZww3pEQiETYVExFRIDDcUBxXKSYioiDgbKk88MNsKeCMKSIiCgJWbvLAD7OlzHDTyXBDREQ+xnBDcVylmIiIgoDhhuLYUExEREHAcENxbCgmIqIgYLihODYUExFREDDcUNzYClZuiIjI/xhuKG5sOSs3RETkfww3FMeGYiIiCgIu4pcHflnEj1PBiYgoCFi5yQO/LeKHys3gIHcGJyIif2K4oWHhpq9f5FQPww0REfkTww3FlZVGpDg2UNlxgkNTRETkT+y5SdO6devUv+3t7bJz505ZtGiRzJo1S4IkEolIVUWhtHT0S+eJAZlc5/YRERERjRzDTRoQZObOnRsPM9u2bZPZs2dLW1ubVFdXS5CMqyiIhZt+tw+FiIhoVDgslYbW1lbZtGlT/PP6+nr1765duyRoqmIL+XV0cViKiIhCXrk5cOCAqmg0NzfLypUr1XUdHR2ye/duueqqq8TPzGADe/bsUf/OmDFDgqaqMhpuMCxFREQU2nCzbNkyWb16tRqiQd+GDjfjxo2Tmpoa+da3viW33HLLqG4bPS5Lly5Vt71q1SrH70Ow2rp1qzQ0NKifgSVLlkgurF27Vh1L0IakYFxFofq3o4vDUkREFNJws379etm3b5+q2EydOnXYWi6XXnqpGsa577775Prrr0/7dhFocLszZ85UwSVZ8+7mzZtlw4YNCRUW3ReDwJPNpmLcHm43V8HJbdVjo5WbtuOs3BARUUh7bhBqNm7cqIINoHJjpSs4I4HKCMIKQkSyCgmqNAsWLFAhy4QwhF4ZPcspGxYuXKjuB78zwlcQ1Y6LVm5aO1i5ISKikFZuMAxkclrZdv/+/ZILCFaoDNkFoPnz56shJIQSXc3B56Pps9FwP7gNhLi6urrAVXDqqqLhpqWT4YaIiEIabuwqNXZQ7cgFhJDa2lrbryH0oPkX1R2EElRzRrM2DaaCo1KjZ0np28YQVeDCDSs3REQU9mEprPXy8MMPJw07N9xwgzQ2NkouYDq2GTpM+nr07owWwhGGtqy3gSGvIDYUx4elOvu5vxQREYWzcnPrrbeqKdGYIYVhIFRocNLXK/kiGKBaMpJm4pHQVZlkEEymT58+qtvHz6E6Y1Z8MLyF+002e8uvamPDUthfCtPBx1VGPyciIgrVVHBUTzAVXA/RINDgXb+evo2GXzfo0IMqSyaWL1+ufj8NoQ3r9zhVjLSenh510bq6usTriouwBUOBCjZYqZjhhoiIQruIH4INLmgcRqUEJ349g8rvEJJG01uDataKFSvEj303OtzUn+n20RAREbm8/QICzdVXX+2JYKMX83NqOM41VHywSrO+7NixQ/ygJrbWDbdgICIiP8rb3lJoKg6b0tJSqaqqil8qKyvFD8aURV8WJ08x3BARUYCHpZ566qlR3wl6XrAezT333CPZhuEvp9lQutcmVW9Mrq1Zs0Zduru7xV/hhrOliIgowOEGm19iaMVuerCe/p3sa7mC2Ux6+MlKh57RzpTKlsWLF6sLppXnakp8NpWXRZ+zkz2s3BARUYCHpdC3gllRWNdmYGAgfsHnmA2lv2a9PPLII+rr+DgXsM+TU+UG09JHs2hftqFqM23aNJkzZ474wZhSVm6IiCgE4aapqUltgol9oqwrBGOatP6a9YJwgengGJbKhXnz5qnhJ7uAgw01sbqw21C12bt377BNRb1qTKxy082eGyIiCnK4ueuuu2yvx1AUmmWTQcjJZLVbDDs5rVWDadrYzNK6kSWCDXptEMpoZMp15aaHlRsiIvKfvO0tNdLeG1SDsFgeKjL6giEohBmshGyGFnyM6xFwsJGn7sHB3k9e4L+GYlZuiIgoxOHm5ZdfzsnGmSNdNG+0m2Lmg98aiuOzpVi5ISKiMK5zg2pKqjVssJjdzJkzM70rypOykmjl5hRnSxERURgrN1iN+NFHH5W6ujpVOUGI0RtnolqDRmI0/V577bXZOWLKubLSWLg5zcoNERGFdG8pzIZCBWfZsmVq9pSGhl5soumXKdC54reem7KSaEGvm8NSREQU5o0zUbXBWjeAzTO9sLeUV/it52aocsNhKSIi8p+c7C3FYONv5fGeG1ZuiIjIf/K2cSamb5M/lMXWuekfEOntY8AhIqKQDUs99thjKb8Ha9Rs27ZNwsp/PTdDaxKhqbi4KLf7gxEREXkq3GABPaeNK/XifZmsThwEfuu5QZgpKhTp649OBx87Jm8FPiIiooxlfNbChpqY8m1upmluqrlhwwZZu3at+pz8Q1dvujkdnIiIwhZusDGlUwMx9pRCZQfr3Nx3332Z3hW50HfDpmIiIgpduLn11ltTfk+mG2eSi6sUczo4ERGFdZ2bVDo6OiSs/NZQnLDWDSs3RETkM3npFO3s7JQnnnhCwgrNxHv37pUtW7aIX5THVinmFgxERBS6yk2qDTExkwpTwbdu3ZrpXZErlRsOSxERUcjCDWZETZ8+3THkYBNNNBSj74b813Pz2O6TMvsdFWpKPxERUSjCDcILdv6mYIabJ547JbuePyUzp5W7fUhERET56bnZvn17pjdBHoStF7Rnm3vcPBQiIqL8hhsONwXT0bb++Mc9bComIqIwDUsdOHBAzjvvvGHXY2YQGonRq4GenKuuukrCyo9TwasqhnJv+/GhoENERBT4ys3SpUttr58zZ45a4O+WW26RmpqaUK9Q7Mep4B++cmz845OnWLkhIqIQhZt0Vh6+9NJLM70byrPpF5TJsutq1cfdnA5OREQ+knG4SWeKMBbx2717d6Z3RXlWEdsN/CRXKSYioqD23Dz55JNqh2/dSwO7du2Sa665xvb7W1tb44v4bdq0KTtHTHkzJrZ5ZvcpVm6IiCig4QbDS/fee6/6ePPmzbJw4UKpq6tz3BUc1zc0NMisWbM4NOVDY8qiAbablRsiIgrDbKmmpiY1C2rZsmXxwEPBUsr9pYiIKGw9N/X19TJ79uzsHQ15SnEs+vb2MdwQEVGIGooXLFiQ1vc99dRTmd4V5VlJUXRYiuGGiIhCFW4yXQ8nDLCA37Rp09TaP35SHAs3ff0iAwMMOEREFMCemxtuuEEtyHfnnXfGr3PaDdykZ0yFeRE/XPbs2SONjY3it3CjA06sBYeIiCg44ebRRx+VgoKChHDT1tamZkNhVlSyhf5WrVqV2ZGSq+HmdN+glBSnXtOIiIjIV+GmubnZtqk4ndlSWA+H/KWocOhj9t0QEZFfZDzQgGpOOtavXy9BsXr1atm2bZsEXUFBJB5wensZboiIyB/y1kURlO0X0DsUpuZoPTTV289wQ0RE/pC3cINtG4IAFRsMxYUu3PS5fSRERERZ7rlJZ1ZU0GdLYcuJefPmhao5Woebe7e0ycIPV0v9mSVuHxIREVF2wg1mRWG7hdGEnExmSyEYYRiouro66W2gorJ161Y1aws/A0uWLBnVfTodB+A4wrhK8RN7T0nr8RZZt/wMtw+JiIgoO+EGQzEbN26U0RrpbCkEGlR7EKYQXDDdPFlFZcOGDQk7j+NnsDUEAk824HfHRqFhU1gwNP375Vd7XT0WIiKirPbcmMFhNEY6WwpVGtwnqi/JqiWoqGALCOvtIwy1trbKunXrJFNYfC9ZuAqyAssrhCsVExFRYCo348aNy+iOMv35ZBUVVJXsAtD8+fNVI7OuuKCak25jsxnmUHUKY9XGWrmBkz2DUlnOxfyIiCggi/gl09nZqaokO3fuVMNJCByXXXaZ3HzzzZJLCCG1tbW2X8MxoOqC6g7CD6ovI63AYE2blpYW9a+GihBCEm47m309fqjcnOwekMpy7sNAREQBDzcPP/ywXH/99fEQgVCBXhcED2zV8Nhjj8nFF18suYCqCmYw2dFTthG20Aw9GnbhBf1AixYtCsVQVaElx5w4NeDWoRAREaUl47fg+/fvV8Fm+fLlakYVqhoIHPgXn+NrV111lRw/flxyQQeqZIIwDd3NVYpNJ0+x54aIiAIebjBcs337drn11luH9dXgczQGo4rjxvCNDj0IWtmAnh1UbAC/lzlUZaenp0cN1+lLV1eX+L1yc5KVGyIiCvqwFALMpZdemvR7MCQUhFV9dc9Ouk3JK1eulBUrVkiQGopPdDPcEBFRwCs348ePT+v7sLhevumF95wajnMNQ3UdHR3xy44dO8TvlZu9+0/LoWPci4GIiAIcbrD6cDow48gKjcZBVlpaKlVVVfLggw/K5ZdfLp/85CfF77OlNj92XBatPCTdHJ4iIqKghhus/3LfffelnE2FNWdysZkmhrucGoZ1r43bQ2KLFy+WvXv3ypYtW8RvIpHha9p0dQ/KC6+cduV4iIiIct5zg2nYCBGYHm0XIpLtyYR1YjKFfh59H1Y69Ix2Gjg5V+aaXz8tl15QlvfjISIiynm4waJ9M2bMUFsgjASmiWdjijb2j3LaULO5udkTa9GsWbNGXbq7u8Vv+h1Gn/a/zn2miIgooOEG1ZpHH310VD+LgJONypHeZNNaOcKGmqPdjTzbw1K4oFLV2NgofjLgEG72HeyV/oHBYbOpiIiIfN9zk8mGmukGDww7Oa1Vg+EubJqJgGMNNgg7TU1Noz4+EhlwGJb6yyun5SNfOSivH2UFh4iIAla5mTp1alrfh5lRWKk43Z/FAnl6nyp9wRAUwgyak83Qgo9xPQIOppzrHhwsHugFfh6Wsmso1o6198uWx47LF+a7M9WeiIjITmQw3bncGUIg2bBhg4SZHpbavXu3b5qcb/rOYXn25Z6E695yXom8cCA6W6qqokA23nmmlBRzeIqIiLxxDs3KxpmYCo7hqWTbHGRjZhTln11kWX3jRCkrjcjHv3ZQjrT1y/0/b5cFH6pm/w0REXlCxuHm7rvvVuvVYFaS0zYMKA6FefNKPw9LmWW9okKR2nGFUjkm2qr1kWuq5Lv/2SYbtx2Xnt5BuYnDU0REFIRwg+nWL7/8clq7h4eVn2dLmX502xQZUzZUnfmHvxurqjXf+Umr/Oy/u+TqGRXytoZSV4+RiIgo49lS6Z6svTAlmzIr3ZwxvkjGVRYmfPn976qU//U3FYLOrbsfauGu4URE5P9wk+1ZVeQt6XSb3zCnRurGFcqrh/tk5QMtMjCQlx51IiKi3IQbrE6czgaYdntLUTCMHVMgdywcL8VFIn94plt+9MsOtw+JiIhCLOOeGzQRP/XUU3LDDTfI+eefb9tUjHVnwjxbytcNxWmuFHDh1FK5+WN1ctePWuTBX3fKheeVyuVvL8/58REREWU93Dz55JNy9dVXO25emc5icEEXlIbiVN77jgp5/kCP/HRHl9xx/zH5zk0T5S3nscGYiIh8NiyFVYGx/QH2iRoYGHC8IACR/4x0icfPzamRGReWyameQVn+g6NypLUvV4dGRESUm3CDVQLnzJkj48aNS/p92DqBgq+4KCK3Lxgv559dLB1dA/KNf2+R/n42GBMRkY/CDfps0nHrrbdmelfkgtFszjGmrEBuu368VJRF5M/NPfLdDW1p9+4QERG5Hm5w0urs7Ez5fQ8//LCEFZqJp02bpipcfjPaSHLmhGJZ9sk6QavVL37fJQ/9JvVrhIiIyBPhZsGCBbJx40Y1YyqZMG+aiWbivXv3ypYtWyRMrrh4jHx+Xo36+N9/3iG//mOX24dEREQhkPFsqWuuuSbeWIwZU/X19VJdXZ3wPbg+zHtL+Vmmo0kfevdYOdbeLz95pFO+/ZNWqakqlMvfxiniRETk4XCzc+dOtWkmKjh1dXW233Ps2DG1cziF0z99cJwKOI/+6YTccd8x+fY/T1Tr4BAREXky3KBSg2GpVMK8caavZaEPGGsc3fLxWmk73i87956SL/3gqHzrCxOl4aySbBwhERFRdntuNm3a5Pi17du3q4oN+nGwFg75T7bmOBUVRtQMqgvOKVFTxG/+7hF57Uhvlm6diIgoi+Em2YaYWLjv+uuvVzOqkoWgoPPzbKlswhTxu78wUd58Tol0nhiQZWuOqmoOERGR73YFx9BVmMONn2dLZXt9msoxBXLn5ybIGXWFcvBonyz53hE52s5VjImIyGPhBruCz5w5UzUUWy+FhYVSW1vLFYoprraqUO66caLUjC2Q5td65Wv3HpPePi7yR0REHto4s6mpSRYuXKguu3fvVptDItC0traqzxFswj4k41e5ihxnTyqW7906WW646w35y19Py/c3tck//2NNqDdYJSIij4SbdevWqZlQem+pGTNmSE1NjZx33nnqc0wRx9dR3bnqqqsyP2IKjCnji2TpdbXy1bXH5Oe/65Ly0ogs+nA1Aw4REbm/caa5aSYW8Nu2bduwpmMu4udTOR4teudFQ6sYb9x2XB76NbdpICIil8ON9V02ggyGoigY8tEJg1WMvzA/tk3DLzrkG/cfk+MnB/Jwz0REFEQZh5u2tjb174EDB9TQE6CS88Mf/jDh+7Zu3ZrpXVGAIeB87JoqtdHmY7tOytfWHmWTMRERuRNu0ES8bNkytQXD3Llz1XX4/NZbb5XLLrtMli9frmZSocGYKJl/+odq+d4tk6SiLCJPv9Qj39vYlvWp6EREFHwZhxtUae666y61js2uXbvifTf4uL+/X1atWqWCzT333CNh5edF/PLd2zttaql8+TPj1f3+4vdd8uCvOxlwiIjInUX8Lr300oTVirFwH3pvBgYG5JFHHpEw8/Mifm7MW8Ku4Z+9Nrqz/AO/6JDVD7bKqdPswSEiIg+tUEw0UnOvrpIb59ZIQUTkkcdPyBe/c4RNxkRElBaGG/Ksa68cq/aiGldZoBb6u+W7h+XQMW7VQEREyTHcpGHPnj1qleXVq1fL5s2b1b+LFi1y+7BC4dILyuTbN02UqooCeenVXlm48pC8epi7iRMRkTOGmzRhEcKlS5eqS0tLi6xdu1bCwAurBdefWSL3LJ2sdhM/0T0oK3/UIqd72WRMRET2GG7ShNlgmLXT3NysZoBRfp0xvkjuWDheKssj8sKB0/KpOw7Kb/ecdPuwiIjIgxhuyDcm1hbJ7QsmqCGqN1r61UrGT714yu3DIiKioG2cmWvt7e1qKAhr5ySrmGA/K6yC3NDQoH4GlixZkrXjwO1j7R6s2bNz5061OCGOifJr+lvK5P98Y4rc/WCrqtysuO+Y/MtHa+WKi8qlAFOriIgo9DwbbhBo0OeC1Y0RLLACshM0+W7YsEENHWn4GTQBZ2vbB6zb09TUFN8stLGxUQ1RUf6VlxbIkutq5ZU3emX/wV65bd0xedfF5fK168dLUSEDDhFR2Hl2WApVGoQVVF+SVUhQpVmwYIGsX78+4XqEodbWVlm3bl3Gx4Iwo4ONDjq4bYQqckdZSYF866aJMm/WWCkuEvn9093y7f9olYEBNhoTEYWdZys36dq4caMKG3YBaP78+WpWE/a/0tWcdGc5mVUgO7hPVIXM0EP5VTO2UD57bY1cdH6pfG3dMbXYX+eJAVl6Xa1UVRS6fXhEROQS34cbhBCnTTkRQLBGDao7CD+o5iQb3nJSU1Mj27dvVxUc8p53XjRGll1XJ3c/1CL/82y3fG71YVn4oWq54uJyKWQfDhFR6Hh2WCpdaPJFiLGjr0fvTiZmzJgx7D5wm+i7CTq/RINZl1XI92+dLJPrCuXg0T65ff0xueO+Y9x0k4gohHwfbnRVJplMw421YoNeG4QdPdxF3vCms0tkzZLJMueqsVJYIPK7p7pl1/On5JmXT8krh7iqMRFRWPh+WCoZHXrQ/JtpczO2XACsToxAhR3PU+np6VEXraurK6PjoPT6cBY31aiK0+bHjsvS7x9V1yPsYJXj888ucfsQiYgoxwIdbrJpNGvmrFy5UlasWJGT46Hk/nF2lfzsd13xbRr6B0S2/NdxWXpdnduHRkREOeb7Yalk9GJ+Tg3HuYaF/jo6OuKXHTt2uHIcYVQ7rlAW/MM4tZpx/ZnF6jo0G/f3sweHiCjoWLnJodLSUnXRKisrXT2esJlzVZW6INDMWfa6mib+x2e71RBVw1klMqmWL38ioiDy/V93NPY6NQzrXhun2VT5smbNGnXp7u529TjCqrAwIn936Rj5xe+71GrGUFockZs/VqtmWRERUbD4flgKM5n08JOVDj1ur0+zePFi2bt3r2zZssXV4wizpqvHSlnJ0MT2nt5BufOBFvnt7hOuHhcREWWf78MN9o9yqtxg76fRLNqXbajaTJs2TebMmSO+45eFblI4Z1KxPHTHFLln6STZ+v2z5YN/Gx0iXPmjFnnw1x3y3L6hWW1ERORvvg838+bNU8NPdgEH69EsWrRI3MbKjTfUVhXKBeeWqlWLPz+/Ru0k3tsn8u8/75DPf+uwbN/JKg4RURD4Itxg2MlprRqsZYNNM7GLuN1Ce9z7iewg4Hz5M3Vy3fuqpH5KdDbVuv/bHp86TkRE/uXZhmIsmrdz505VkdEXDEEhzGBDTDO04GNcj4DT0NAQ78HBxpZewIZi7+4s/qn3V8tHrxkn191+UI609cvXf3hMzj2jWP72knJV5SEiIv+JDHLznbzBJp7YjwqrG7vd5JyuG1a9IX955bT6+LEfnCNB9cjjXbLqx0PVwbLSiNz/lTNkcp1n8z8RUajsGcE51BfDUkS5NvuyCpk3a6ycO7lIKsojcqpnUDZv75T+gUF5/M/d8uzLp9w+RCIiShPflhIh5RdE5LPX1qjLrue7Zcn3jsrDv+2SJ1/skf0Ho5tu3jCnWuZeXeX2oRIRUQqs3OSBr6eCh1DjW8pk2tToBps62MD9P+uQlo5+F4+MiIjSwXCTB36eCh4JyDo3IxGJROSWj9fJheeVyNsbSuWHX5mswg4W/nvoNx1uHx4REaXAcENk47wzimXNksny3ZsnydQpJfJPH6xW1//y911y6Fif24dHRERJsOeGKA2XXlAmMy4sk13Pn5Lb1h1VQ1fYefw908fIhBr+b0RE5CWs3OQBe26C4bPXVsuYsoi8/FqvbNh2XO7Z0i6f/voheeEAt24gIvIShps88HPPDQ2pP7NE7l02WT79/nEy9+qx0nBWsZw8NSg3f/eIbNzWKV0nB9T3dfcMyOFWDl0REbmF9XSiEThrYrF84n3j1McnugfkxrvfkFfe6JN7H26XHXtOyurPT5Sbvn1Y9h3slX/5aK28/13RDTqJiCh/WLkhGqWK8gK568aJ8oF3VUpBROT5A6flAze/poIN/PvP26W3jwuAExHlG8MNJRXCmeAjMqm2SL740Vr5wvyaYV9rOz4gf25mPw4RUb4x3OQBG4qDD8NPsy4bI7VVBfLFj9Soj2H3C9y2gYgo3xhu8oANxeHYvuFLnxovm+86Sz7wt2NlxoXl6vonnutWDcZbHuuUA4eGVjsmIqLcYUMxUQ5cNq1Mre6MaeNf/sFReeqlHhlT1iH3fZk7jRMR5RorN0Q5UD22UN5aX6o+RrABTBv/6FcPqkUAO7q4RxURUa4w3BDlyKIPV0tZabQl+4qLyqWiLPrx757qls+tekP+a9cJhhwiohxgfZyS4kTm0UPl5j+/MUXaOgfknMlFcvzkgLz8aq98+z9a5FBLv3z9/hapG1co3/7niXLWhCLp6xcpLopu3ElERKPHcEOUQ1UVheqiP57+lkL53i2T5c4Hjsmev/RIS0e/fGrFISkpjsjp3kF5a32J3P2FiVJWwqIqEdFo8S9oHnAqOJmw4ea3bpok/3HHFBlXGf1fEMEGntt3Wh5+7LjLR0hE5G8MN3nAqeBk54zxRfLA186QB1ecIatunCCf/kB0W4dNjx2Pr2z8+LPd8vX7j8nrRzmNnIgoXRyWoqQG2XSTU+MqC9XlzAnFMv2CMvnpjuPS2jmgFv87e2KR3PHDY3Lq9KB0HO9X1R4iIkqNlRsijygsjMi7p0dXNv7t7pPy7Z+0qmADT77Yw5lVRERpYrgh8pC/uzQabh790wl56sUeNXuqsjyiKmirftwip04PqK9jzyoOVRER2eOwFJGHvK2hVKorC6S9KxpisOM4enPWbG6Xx/98Su789xZ56dXTcri1X8aUReQ/v3mmVJbzPQoRkYl/FYk8pLAgIu+8OLovFXz0mnHyoXePlWlTS9Tnv3+6WwUbveLxU3+Jbsz518O9cuu/HZEde07m5TixX1ZfPxuyiMibWLkh8hgEGiz89/d/U6GmjcOS6+rUejhWP/3vLtl74LQcPNqrmpD3vX5aLnlzdNsHNCrnwtG2PvnUHYfkgnNL5Dv/zCZnIvIeVm6IPGbK+CL55g0T5F2XRPtvADOnTDfMqVb/ItD856Od8t9PdqvP244PyIeXvC4fv+2gtHZk1oD8x2dOypHWvmHX/8+z2Ol8UPUEneiODp8REXkJw00ecBE/yhS2ZLh6ZjTszLpsjKqaJHOie1Ae/3M08ACGq97/L6/K7euPSueJ1KHn+f098pV7j8mN3zo87GsIUFprJ2dwEZH3MNzkga8X8WNbhWfcOLdGVWw+N6dG3nR28nAD+w4Ozab6j990qB4dVHj+bUNbyp99tjm6k/mx9v5h1RnskaV1xBqfiYi8hOGGyCfQQzP36iqpHlso5aUF8t53VKg9qZw8/F/H5dolr6lhJDPo/OnP3TJorM74+pFetUP5wMCgbUXGWp3pMsNNGlUgIqJ8Y7gh8qlln6yTn959pkyqHWocvuytZXKFMdsKU8q/fM9RGRjAxp0FUlggcuLUoHzg5tfkutsPqirMNx9oUTuUb985NNPq9aNDvTadJ5wrN6d6kpf2frC5TeZ96XU5cIhr8hBR/nC21AisXr1aqqujjZzt7e2yZMkStw+JQq60pECarhqr1sH5/Lwa+fB7xkpX94B88ObXhn3vW+tL1ayqV97oU0NUJ0/1qV6cFw6cVl9/5uVTMvsdFerjg0a4sa6MbFZu9ArKdvBzm2ObgGJRwoUfiv6/Q0SUaww3aZo9e7asWrVKpk+frj5vaGiQ+vp6aWpqkiBjy433zbmqSmZdVhGf+u20qN9bzi2RokJR4Ubb9fxQ03FRYUTajvdLRVlBQrgxKzXWz0/1OPfcYCaX9tph58oNhsX6+kXOPaM4yW9JRJQ+hps0rFu3TgUZHWwAQSfowYb8w7qmzd+8vVz12pim1ZfKabXb+ND1z+2LVm10E/FHvnJQasYWSE/voOPQkxluepJUbvYbfT5Os6pQBfrsqjfkdO+g/McdU2R8Nf8kEVHm2HOThqVLl6rKjYnBhrzsix+pkWXX1cr9Xz1D6sYVyiVvKlWXcycnVkdajLVw9r3eq0KGXgFZO2kJN+aw1Iuvnpa7ftQiza8NhSSsr4O1d555uSdluGl+/bSatt7bJ7J3/9BtEBFlwvNvk9DbgnCBXhdUS5xs27ZNtm7dqoaL8DOQjZ4Y3BYuuH9UcKC5uVkWLVqkqjlEXoQKyHsvr1Qfb7xzSnytnKlTike11YKG8GNWdYYWD+yXVTdOVB/f97N2+c3/nEi4jeOWpmQNU821wzYLBhIRBSrcINDs27dPZs6cqYLLrFmzHL938+bNsmHDBtm0aVP8OvwMqi0IPJnAMcCePXviYQlhZ+rUqbJ///54gzGRVyHUaA1nlcgX5teovhzsMt6fxjI1GIb68a86pLOrXx7+bZft9+zcO9RfYw02uvqDqeYFBRHHypEZdE6eGpCN2zrlnReNkTefk3pNH8qfX/2hS37483b5zAeq5X9fEQ3QQdE/MCjPvNSj1pGqHJP9gQ28OcBw8flnF8uZE9hjFsphKVRpEFYQKJIFCASNBQsWyPr16xOuRxhqbW2NV1tGC7cBZpUGxzNjxgxZuXJlRrdN5AZsxIkGZAxXJYPeG/jpji554BcdjsHGym7tHSyrgy0brMxp5ubQ1X8/eVJ+/KtO+exdbyS9rxf/elr+6RuH5JHH0zs2yvzk/4MtbWrvszWb2xLWRgqC721ok5u/e0QW3x3tA8u2Ox84JivuOyY33PVGQrCnEFVu0rVx40YVPOwC0Pz582Xt2rWycOHCeDUHn6dDV4Fqa2vVv9YhKNwfqjlEfoVwc6TN+Q/s+WeXJFRkUuntGxQUZqwnBaytgwoRqjEVsZlcf27uURezf6fd2NbhWaNfJ5mf7jiuGpex6vI1sWE4yp0DB3vVMgK60fzVw305m+WGILXu/7ZLaUlEPvm+cVJY6LxgZTZg6YJf/TEakvF7/eHpk3LljOjSCNnwRktffBi3q3tQ3dcn/n5c1m6fAhZuEEJ0ALFCIEEA0T0zqOYkG96yY86QCiNzJVsKFr3juJO3N5SOKNxYp4xrCDSo0GDxwAmx6+5+qEWdQKxTx2+8+w25YU6NGCNp0t8/mHBie/5Aj9pcFDPEno6FILuqUBjgMcf/o1UVudkB3uqvbyRO6cfijLkKN7/dfVI2bY+uk3TeGcVyVRaDBoILik7vurg8PmyLBngsSaDtev5UVsPNH59JnL34+LPdDDdhHJZK165duxwbe/X1um9mtBBwrLeBwBT24EP+Nt4h3Hzo3ZWy6sYJcpZlJ/JUsBpx07LXE657/7sqpaIsevLQe1ThHbk12GiYMYV362KEm1u/d0Qe+EV0ksDOvd2yePVhWfK9I+rzMmMI7NTp0e9zhRPN7586KX893KuGDLY81ileh2GNT9x2UD761YOqKpAPf7U8b4eO5e5+zXWSnngu/ZCd6g0aNpT96tpjctu6Y/LYrqFVuffuiwbl8dWFCfurZctfXone3v/6m2hgeunV09KTwWuWAh5udFUmmUzDDfp/zOEs3B4uy5cvz+h2ibxYubmycYzMnFYu5WWJfx6++y/R2VBOzBPFxNpCufNzE9Rmn9gHC/70XLes/3/tCY3DdnBS6Y4NfcBTL/ao/huczHUl6aVXe1WYiRSknpH1xHPd8tP/Pi4P/rpDfvfU0DFqx9r75Ctrj8rX1h2T+3/WLn/562m14rPXq5b4XVARwzARqhz58PrRaOUGi0HCwVi4aT/eL3fcd0w2ZzEU6pWz9ZIBo/F/Hu2Ua77wqtz302g4hl/+ocu2+X1/bIuQD7yrMr4FSTb7bl5+LXr7qBbVVBWoKhGWX7CD1zoW2DRnKlLIhqWS0aFHNwWPlh7Kwgyuuro6NRUcs7BShaqenh510bq62PRI3q/cYEsHGFOa2OOADTv/9pJy+d1T3VJRHlHr0zjBKNLlb4vucVVSEr2dh34dPfFhe4jRDHHte/10QtPx4Zb+hAUGzWEvM7hgby1zVhjW/sEwh9b8eq/aewvMhQ9bOwdSNl27CT1L2guxqkCu6V3gMYMNVTY8vnD/zzvkt3tOqsulby5Ts/IygWBpVoUwHGY32y4ZHBvCKp77nzzSKddcXiFTJhQlVISe298TH/bU94dtSvTrG2Fu6pTMZ+shJL0SG9LDTCy8/to6e1Sl8MKppQnfu+eFU/KVe4+qrU3OGF8k37tlktRWefd16FWBDjfZNJp+HcymWrFihfiZt9+7Ui4qN2WxMGKdCltTVaj6Yd5yXqmcM7lIvnrvMcfbNsNESVHiCQnl+NGEG5x8zNlV2JHcfGfbfWr4z2AFZut0d/RbnHfGUK/DYWNIB4sJakda+7IabnB7aO+YUOP8Z3ckJ3BzXSBdQcm1zli4wckZ4UaHnSf2dif0lmQabnC75npKeF7QcJ6qT8yE4zCf+98/3S1XXFSuAjFm9OFhVk3RR/rk7ElF8aE9BKBzJhXL8wdOq61KshFujrb1qQBdWhxRw164/Sf/0pOwFQqg6R4zqvSebXjNY5gWm+RSyIalktGL+Tk1HOcahq06Ojrilx07drhyHEQjq9xEhu1RhWEI9M5MriuSj7y3SmrGJj/J9PUPDrs9De+Uk0EAMGdRaW3HBxKGnvCx2Uh8wibcvHYk+m4Zixd++D2V8SrD//d/WqXzRH+84mMn2Uyy0czEuf6bh+T6b77huFozTmz4+oI7D6U1HHK0LbGKlQ/6MTsnttI1hqNw3RFjVWtzZerR0kED4VL3wBxuG1mA083mVRUF8YqIDtbnn1WsAg2gOtPS3q8CFGb2TagplDMnRL+WrV4mver3pNpC1cB89qTo4/eqpUEbw2SoGCJg/WtsGHj7TlzHaeMjFehw47bS0lKpqqqSBx98UC6//HL55Cc/6fYhEaVfuTHCDa4zFwO0VmOszD2nrOveIKQkg1YXu8oNtnXQJ1foPDmQsCs5ek9Q+TDDkz45/d2lY9T6Pvr2f/67Ltmw9XhCo7NVJuuQWNd/wYkV03/xezmd/DFcgtlHza/1qh3ak0FT9jHj+HC7Tr+HdbgHCzIi3I2mn0RXznS4aesakFdivSravoOZb6OhgyXCwMSawmFhLh3PxRqEP/H3VdHP9/eoaoweVjtrYvR3eP1IX/z+EGwKC6LVFUjVH2b3+GLNpU3bOxMeX11lm1QXDU0Ybor+nonh6Tex9ZrmXDlWLjq/TB0nqk/WfeIoBOEGM6KcGobtFuBzw+LFi2Xv3r2yZcsW8ZvcrixBbhpXUaDeGRdY/groSkuZ0XNjXWNE99E4eXfjGMdwgypGKubwk4Z3rwg0Gk48Zs9vW2e/fHLFIVm48g3VSIomUn074yoL1Owv81h0k6pdxQfa0zhOO6gWXbv0dfnG/UPDdm8YlQ3ru3UNJ1kNIecXv+9SixTawWOBYQ5UGjDUoY73eOrjffqlHrUgI8LdY7uGrySdah0jXeXS4QbDOq/FjhsnYuRfLPCH7TjSgVWo/+GW1+SeLW0JDdz6eUOflxk08D0Ytpmz7DXVKO4EQ5S6moQFKyvLI+pYf/M/XfG+FywnAIdaMNwZ/d5xsSn1egNX3VNkwu+G58eu4RxN9at+3Cr3bGmXh37TMTzc1EZvd4JNeEKYfvnVXvUYXjUj+v8PhtHgT39muAlduMF0bD38ZKVDD6dsjx57boILvR1oVlz/pckJ1+uTpVmpKbKGmySVm8l1hfK5OTXDbs+ur2UkotWJwYRKjgnvyjHDBYv6YVYWmkhxMoexYwrU76PfxZuLBp50qHh0pKgwOXn0TyfUyRknOt08bb5Dd6oImQ20D/6qU77zk1a5+V8P21ZYdBWjrrpQzbxRx+swW8z01ItDFSH92KRLDwniZYGKip4xhRM9YChHVySw2F8qCLkIoHhesZ6NuQ4MtvrQz1t1bMd7BBD0qWx74qQKUHc+0OI4XIM+GqiuLFDrIb2tIdq0qxcgRE8QHjv9OtKVwqrK6GPpVLnZf/C0XHf7QfnM1w+pkGj1y98nzsTSAcgcltIVIl3F1M/vMy9Fn5uGs4rVMcMlb44e9979PZ6fvec1vg832D/KqXKDWU0jbQLOhTVr1si0adNkzpw5bh8KUQL00FgbJs1Qow1Y/rBa+2hMH71mnIwxppFbw81oWSsT1uoA3oFb6QqAbo7+2P8aJ2uWTEoIGU49N6kqN1gvxdwNXTOHaXSVxhxScapqtBrX65Mtjk3PsjHpYZSJNUXxaoNu7k3mr0YD60inV6OBWwcODN3o5/jVw9HjQxVQr42EkJnKk385lbBo3r//oiN+AtcVOvTLoOqm7r9rQHYZM53w3C77/hHZsefksBO/fg50hent55fFv4ZKJRqi9QwkVRGMvU7wu5mVFetQ2P0/64gHbFQHzaCKapE55IhgpB9v/drV94nfS1cR9fDiM7HZbxiO0t50TomqzqEPJ5s9YGHg+3Azb948NfxkF3CwoSZ273abn4elKBycJuj8fWzBsTnvifarpFO5KbdMIbfba2o0rO/Srb07yRaU0yct8wSjhyKcKjftScLC0y+eki/94Kj883cOD+t1MfuF9InLbIR26jk64bDCs3VVYD37RlcA9Mk/nWE0TD3W3hjhDCsdAHSDrl6cUc/4QbjRjbgHY+vhpLPuy7unj1FDoFjzRa9jZN6XrmIg3LwYm/KOhSZROcJtYK+mn/2uy/b3PFeHm1jlBs6ODU/Gw43q5Ur83XQ/Gh5THZxQafqf2PAQfncEM8y801589bRa9RjBaNrU6BuGl2PhV7+W9HOFNxDxABUbstofW/PmAmOj2LKSApl6ZvR3cBqiJB+HGww7Oa1Vg7VmsGkm1qCxBhv02jQ1NeXpKIl8zCF/YOr31z87Xv7xvUPDOakqN9bCTzrhRp8ok0FDrgk9Nuk2AJvT2nXFAcNj6CM55dBYq4dG7DwZG95BZQWL/iUe51BIGaoOGVPYHW7Xaf0fu99LVxQmVhfGh1LSqdyYQ3l4PO2mzzuxBoAxsYZzHSqxVIDe6Tqdyo2uemHoRYdozAwyw2BC5eZEf7y/B300/3bzJHnHW6NVjof/K9ocbp0af2askmTuLI+lDMwA09I5MOx30//iNaLXUsIwHvqcUPWZP7sqvkWD9pdXYs3K55bEp8LrRfr0a0kHNfP+0ZQNukJ33pTE7SymxtZksgu55MN1blavXi07d+6MrwaMC4agEGawIaYZWvAxrkfAaWhoiPfgYKE9L8CwFC7d3T5sCuMwbyhEkoSCKy4aag7WUCp3Ym0NSDUshaoRhovW/T/73jkn1uGdZC0J5oKE5seYft3X5zQsNfzEj5lYp/sG5Q1j6jX6S6ZfUGZbgdEBDPczdJ+DahsJzFpa9OGaeD+I095cCDc//Fm7eueO9U4wDV/38GDNnN5+5yZsEyoQZkM2HG3vl3MmJ3+Pix3aUY3T4WmocpP4c2jarRoTq9ykURXSwyyo9iAw/N/fdskTe09Fj1MPE1UUxoMveqR00MMyBhNri+QrnxmvGpKxnQfWEcJ1CeEv9jkC9sIPVatZR5/839E1jmpjvUroedGz6vQeXZgdWFwUDTfoZcJq3Xo7hovOL5WL3lQ6rJqih+caziyObxCrg5/uh9JBTX0cexw7jverYSs8vnhjoKeoa3pojeEmIOFmyZIlOV9kL5/DUrhgE8/Gxka3D4doGJs2mxTfn/4PWJuRrVAFuvbKseoEhxkmWBwuHclWSLYqLkqc+YXAhUXiEDRQvTHhRIgTHk6wmHKN/hJt1YMtsn0nejyGvt86ndesMOlqjHmsqOJ8d0ObHDzaJ9/f1Cb3LpuctHKD3hQ9hIMKxT99sDp+8sawlK4EparCoMqkV2I+o65QDrX0q74QffJ0Gn67fX101tfsy8YkVB/GWKptOKGjeqMrNwgp+nWCdY/WbGqLhowPV6vHVDfrRoezilVgxgkeoSfeczOmIF51Q3jQi/LpqgfuEw242I4DDeU6zCDowKRY4y6g+mhWIDHkowMMngtz+BLHjaCDMIXXweS6oSAzrb5U6s+MVmbUsZ7oV9+LoKj7oPQxY5YUXku6kdms3GAmmA7RumozubZQHZdJr4lj3deLAjAsRUTeCjfJ6He1WmFh6vCDk97lb8eeO7lZZt4MN+aJGRWV05Zzhn5Hr9bbOTGgwg9mLi1bc0TN1LFWiMymU6xvY/bgINTgJG8OS2GYQ59M9QkTP6dPgFY62Oigk9hQXBjfA8xpSrumh3oQ7PQqyea6QXb+YMxg2vrEycTKjbEOkl4XaXJtkXot4XfEjCbtd0+elJ/+N9Z/OS47nzulNozUlaoJ1dEeGL27OIar9MrT5WUIGdH70c3HmAFlBmYdNHRlw1wDSM9KcqIrNXoYTQ/xmb+nfoxei/fxFKnfFQHRHHrSYQ0zrdCoD2+09sUbsdHIjOrWsMpN19AiiFNiw3omXcnR958KXksvHOiJV5LCiuEmDzhbirxuJJWYZH74lcnqZDWSyo3Jup9VtliPQQcCrHBsrdzg5K/fwaOSsPVPJ9SaM047U+t37Pr2zPX7UI3BQoO6YmIHFRcEm3Rm+mKFXXy/bq5GpUIP25ibjZpwDPh+HSbGVhSoSzpDWdjPy8ppWAq9TAgpetE9c2jqyReHZhE9/dIp1eeiH2vs4wR6phWG/HSfC4aHzKEcu8UnddOwrn6gr0ivAZQqLFu3GEGlyPp74jHCitm6EVwv/ndWrKKig6oONwhUeso3Ap6+Hr+H+f/ZuLFDrzHdIK6noJsQGHXlLdW+bEfb++Tz3zosn1t9WK359OCvhk9XDwuGmzzw82wpXTqlYBvBfoRJ6T/E6fbngJmrzCnk2Fl86PrMDlCvyWLtA8KQgTXcYNiqOnbiQSjAlO9k9BAIWE8+qOLoigweYwyDWLV09kv36YH4u/vLpkX7dy48b/ieRhhC+eOz3SoI4XdAFUM/ZidtdpBGBWTBNw/JP3759fhGm6pJN3bidurz0bBmkFV8WMpSudEhRc+Y0juIW0MShld0YzPWmtEnfF1NwjCfXnkaO8oj4JhN6dZtQ7BVAei+Getqw8mYs+jMQGN+jIrXq7FtPDCEpitWZ8SqM1iCADvU66CIcI/b1YtjvhYbTjKDk3oc41P4++MB2a7ShCCuj1OHIDt4rd78r0fU8FxB7Nd+4JcdeZtl9fqR3rQ2xc0XhhtK6uaP1cqlF5TKnTdY91umQBlFdtDTa+tjU1XVzdj8RRlJ5UZv/aBu15g1YjYlWwOCNbhY4SRj3YxSD1OhOdgabnC8epouTph7YkNB77uiQj5uLAKo4Z253kvLuicW/tjr4SIMsVirHfqkpBdyK431pHzgXZXyxY/Y74n3290n4+EPwUBPvT9p04P0/P7TagE5DOnopf1xktUny2SVGxyT3bR161RwTf9uU2xmTOlF7NTHLX1DVSTjhK8rPnjM9eOht/3QYcyucqMDgR4e1GEz2QalTuFGV7TMr+FY9fFjgUptsl7h+FhfvDqDKe0IeXi96YqTXn9JVws1HaDRcxMPNzaVGzPoO611g4C05N+OqNlk+N4HV0yRK2eMUSHYOpMsF37403b5xO2H5GNfPRhf1NFtDDeUFJYL//ZNk1Q/BAWX04yhZFZ/foI8dMeUhGm2BTbDW6nCh8nsO9Gr3YL5zt1syrT73KrYJlzpgGRXucHx6hPjb/ecVMeEE9W/fKRWPvOBannT2cXx3hyEEQxD6eX1re9cEXZ6jeBirXboWUD6ZI7fEz0kX/xorWqUNX/vd8aW4td9MHp4pCJJ5cbc5wlL+49kWMppscH4VHDjZI0QorfoiG9rEBuWwuNrrlGEPhQdAs39y3RFxhzO0luAmENTdZahJh0IUAHDbDazH2kk4QYvXfN4zKHLeKXJCFbm7xnvtxk3VInSKyvrx8G6/pO5fk983SLLkK6GJmVrlVBD39jS7x+VfQd71fF9+wsT1f87H47tpfaHZ06m3Kw2E9huBAsa6iCIrTS8gOGGiOTqmdF1Rs6xTENNprSkQP2BN/9k27XuWPelsjJ/psi4e73Imrov4yRfE3vHG/881gDsxLxNTYcGnHit20Goyk3sxKgXlZt5YVm8+oNp62gmvfUTdQnv3s1wo6saCEZmcLFbzwdDR3qjUfP3xEnSPPm+Z3rilHy9UJw+Cds1JJtT1jUEG91Im2xYSk9jR3gwH3O7yo3ZXHyG5THBMJPZT4Tj1MFJD2Wp261MrMDgdaEfDzPA6m0TNPTVYOgTfTZY5VnfthlE0um5iQ4lDV8yAKFRT0E3b1M3DSPYmrPXNB3I9HDZmFLLsFTlUMOy2Yw8ksoNmodXPtCihp4wRPmtL0yUM2Oh98KpJeq5QlO73jA0F/5r10kV8NEzhecM/89kazf1TDDc5AEbisnrFnyoWq3/cfcXJmZ0OwWjCTfGxziBYxjpo9dUyXvfUaFCxHXvq0rYqFNvamjtXXBiNyymh6Xwrnz49w+9U9ZmThuqXGKH8f/4+pnyjreWx2fM6BO5XuNGT0nGkBSmnOtVne2GpXDyiX+PZU0gc9sL3C9m6gBOWu+9vGLYzC8ru800MSyV7Gc0XW1ByNS7WYNu0jUrN2bQsYYbvYcXhnR0H4r+mlkpMZu49RIBugpizmIyQy+gr0aHDoQEfX/p9Ava9dho6PcBNDfrx8KsGummYWyNoKtNZuUlXrlpcarcDC0UqIf/rENu2gTj97PuY4ZKHiqR37hhQnzGmX5cLo7NXNQ7pOcCesDgI++tUmsAQao+tVCvcxMkXOeGvA4nDL24WSasO4xD0QgairEH0K//9WwVMHBiQ4iA3caeQtbZM6lK7snCjXXrBP39euaOPr4ZsSZfKz00oftL9Bo3OPGhGRfVBD30oyo3NsNSajq6HrqyrPzcZ7wBxs9/9+ZJ8sxLPWqtlVpLyFAztQYGE6oPdqsWY2E8feK2C3eaPuGiMmZWt6wrFFs/1g2++Hn8bkOrDReqChWu12HAfDyGh4uI7dfsKjJ4TaCqgd9XBzprhc+OXbiK378RAHWDsxk+cEwYjsPXsLGltfKiX6d6mrd+zDWsZ6PXW9KvM7O3yKQDpRlW0ef1w59FZ0N9+v3VMm1q4hIMgCHj3z3VrWbZ5QJet3ql6UsvKFNVM6zkjOrNh2LDYm5h5YaIcjqlPFXlxi54WG/HHK6xrnj87sYxKW5v+HW6QmK3NkxRUUQuOHeoj+j8s4rVqsB29AJrelsAPSyF6pLOGPqEZA03+iSdEG4sv9uMC6OhSj8cCAjvumRMQvXCnEmmT8LJ+mZwEtfB4ZRNn45d5cYMF3oGUsKwlFHFQWDQ348KjV6QD/err9fTp5OFG3MxO7vGY/v+laFhqVS9WNHvcb5/PYyEYTTzsdDwGtXVGz0TzWwINoOT+n1sljkw719tSOrw/0p8wT+jwfvxZ7vVcBlCHBbBtHP+2dHXca7CDWbBoVkdvwceCwQcr+xiznBDRBlJ9ScsVUOx9aRixxyuwceYCYJ/scO3OavK/v6HnzD0xp92m2aifwPvsj/x91WqjwFDdk70Wid6wTTdw4JeDh069DYOCG1mENEnRqxfYg5dmXDSQgPzys85z1ZEINJBylqJsavc4PHW4SZZ5Uaf0FE1uGrmmGGbOiYMSxm9M+bQFCo0unm4yuj10ZWbhAbe0kjCsgHlRhXLDH3WYSkwdw7XASCdyo0ZWs2ZUvp4dE+Ufl6tr1VMuDAfx/FG8NKVH+vtmczhtmTHq2dWtRn7kqHZHWa/o8Jx/7b62P8bqCzqGX0mTGH//VMnRz1dXP8cKkQIew1nliSsNO0mDksRUU6lqtx85oPO4cFsXh76OCJf+lSdnD49qJppn48NCaS7OrF53cO/TdxN2qySfPoD1eqSDHaY1pUI7I215bHotFusRIuqRFd3f7wx11q5QV8PtppQDcU63FiGpd5aXyprl5+R9Bj0dHCEJFSBzGEbvbouTjh664Jo5SaNYSkdbsYWyjvfXi53LZ6ghsPsqjVm0NHDddhIEpUb3deD+9Uf6zf1ZtjTv4ce2jOH6NDf9KNfdsjFbyqzfT3p4RwESb07ejo9N2blRPfIWH8nPEZ6+NI6rKjDjWb23Ngtcjj8uHGfvSkrTTqEIbjpioherfpv3uY8k7VuXGF8iwk0PuuNTQHPxY13H45P3UaYt3u9Y8XnO+47JnteOKU20n3fFZXxr+mKJbZO0a9x7GKOmXl4/q2PTz6xcpMHbCimMHNaxA8bGf749jPkby9JPqxkfedeVox3+JH4LCEMIyW9f5tzRskI18pxonswEBz+MzYdVp8E9clND5NYG4r1z2JIymlYKl1lNmHFnAmmK0zDKzfJZksNNbkieFz21vKESssYo1pj7bUym4rNlZGH9Z1YPjdDrFmNwPDKT74+Rb7psN6WDga4P/07o+qWihmAhvX8xIKXuRDj8HCT+MIxe26sYSZV5UZXZ5KFMLxO8By/8kaf6l3C6+VCm14bDf1Xui9MDwVqmL6NYKP//3zw152y6/lu23WV0LeD8Pz9zW0Je5jpxnB9H6CXhsjVUFi6GG7ywM8rFBNlymkRP5y89FotqZjv4q3VDWsw+fZNE+VbN01Mus6NNRDZVXfS/d3sTlqoJOgToR4mwe9r9l3UZTHc6AqIeeIx+2/0qsHWyg36Jazr/Gg6lDkNlyQ71vgJFeEm3lBcMKzvxBoyzcfS+rpBH5PT8IsOCa/EqhB4PMyglE7lZtj+Y7HHCH0tutJk7aMxZ5HhdWgGKjP8RX83u8qNc+XI+rP6sUNFTTfxvumcEsfHxG6I0GzC/9UfolVL7Kz+oXdHqzE//tVQQNe27zwR/xgzx/703FAA0rdprkl1rkd2MWe4IaKccqqKpNqWwWnlYutJ1XoSxJog5jtJu8qOdVn+THofrb0agN6SeM+N0VBszuzSG3Si0qDXuUl1onJiN8ykgw4ef/OkjBO6GTKcqjd2TbTp7kem14DBonN4x6+P0RoErQHEfJ5HUk3TlRu9v1S628bgtaOHVBrfUmYbqPVwHoZ3rM+POeyCsGrOVLMOS9mG4IRdwpP/D1ETC06o2OjNOqcaU7+dnBH7f8FcJfrFV0+r28Hw6RUXl6u1m/B4ozHaXGEYr9enYvuCXfLmaIXomZejn2N4LF65McKzfjwZbojI11IFA+vWB6OZRVU6gnCD4GKeGIsLUw9VYRuG0W4iap1CrE9UunKjp1SjMnBO7F0tToQ6kKBq47TOTbrMBec0HXRwP2aQRKDAY6ZnkWHI5dmXT8mx9r6ERlM9FJPOTu3WsDi0QB0WKIxtP1GKKldB0sqNOUyVargx4f5iAVO/FtMZktKw8N265ZPjM4uGji3x/q1VG+uwlHW7h+HDUjaVm4RhqeSP87h4302/7I+tPI3+llTqYhVC3UMFT8cCC3qY8FrA9+hw98eno43KOiyiAoig/v53Ras7ekFAvK7xNTz1ZsjTr3H049g1MecLww0R5ZTT3oV2vTBOzHf0JZZ3+9YViHG7ZuCxC1HWY0q2a3cq1pMWFiLEu1cdbnTPCU7k099SJjfNr5Hbrh8fDzI9Wem5GT77SVdkECrebExttx73b/6nS276zhG5YdXheBDR/TYIQHarKmuXv61MNWC/753RBQXtdtTWw2N4Ds3nMXXlJv3Hwlr1cJq6bwc9RdZgYxc07dYoMte9sVaarI+bdfaUdVgq1THrwIamafTcmFWSZGpj4VSvsgzPH4iGm7fHFt0zt/d4IrYqN7wQCzLoo8G2IHpmIKo2Oixhd3NzSA9T9fF6RMXr9VjDsRs4W4qIcsqpEDKSncjNNU9SVm4iqNyYs3BGVjUaabwwj+f8s4vla9ePtz254WSJCsc/xBY30xtyJvTcWE7+6YrvDG7Tc4Nwc/WMCjXk8K6Lh5q39QnpkcdPxE9+u144JVdcNCZhu4FklazbF0xQlQS9IrN1qA4nOD28hd/NOjRjDRBmuLGruDmxrlKNE26mhoUbm9lOZsXKGk6s+4jZV27M7RxShJvY7SNU6L2ozF6XVJWbVqNyo4eMphrLKFx0frRyg1lOqLjg/yHsVwVvOrtEDfWicRwVPbw+9BIH1l4hvF7OmVSspomj8mOumpxPrNzkAWdLUZg5nRtHMvyTMCxlCQDWhmFUbsxhmEiG/T4jOjbjhGh9p289WephDwyJOa1zk66hRfnMyk2sYlJaoNbd+fKnx8u7jf2p9PGYvRi6vyJVv415G9Zgo+6zpCB++3q9E1w3bFjKGm7MhuIRPBbmrKNUzbnpsi7+aLcIH2Blb6xo/ZkPJK7wnU7PDX4Or0XcNgJBOuEGK1+jERy5Sm82mkxt7DnUm38iuOgVtfUQEpw9qUj14OC1qHt6Dh7tjR8nnivdy/bXw33xXjLriuGgtwnRPVBuYLjJA86WojCz2yk8en12Goqtw1t4N12YqnKT5M5H2HKTcDzmydrac2ENLjoUmZUb60ywTCo35rCUHbv+nj/HmkXjeymlcfJ0ooem9JAffl9rMLU+l+bnIxmWwvfixKzZnXBHCuHbDDhOx4Nw8+Pbp8Q3rHR6fO2eBwTDe5dNlnuXTo4vbZBqWArNwHraeTp9a7Wx5xCVFgQbzHBCOML/U+aKyuiNu+Dc0oTF+fT0cb0+jm4UR+VIhxu7IDk1NoSlZ3W5geGGiHIqUpB5iEgWbqxTePFO2Aw89ltCSN4rN8VOlRsz3GRYuUnsuRlqKLY9bptw89Jrp9UsKz0s5bSRYzqsvz+eQ2tAGDbEaPz+I117yBziSWfrhXSYAWU0ayGZ6/84PQ8NZ5UkVFBShRsdOOwqZnbGVRTE/1/r7BqQw7GNPKPDTImPvx6mQsUFi/fpTT/1bCi9jg92QdfDUnZDgG+Ob/vAyg0RBZRTkWRE4cY4MVirG9YhJrybTVaZif5Mkq9nqXJj7aGwhjAddhBs9FozmU4FN2dL6X2jrE28dseKtWww8wdVFsyG0euXTLLMABoJ6/3ic+tQj/X3NYcYR7r2UOJqwwXZDzejCJ7ma3O0ayk5zaay22PLTkEBFo+MxJvbj+l+KqNqo+kG5QMHe1WAwTIFCHUTYvelKz1H26OblKrjsgmS6D2zLuKYbww3ROT5hmLrCsWJt5887NjdT656bsyT4dsbShN2F7ee3PRu6XiHrKeiF2exctMba6Vxuk1zGjZ6ct7WEB2S2PrECfnD09GF2s6J9U5kckzm4zQs4Flu3vz6SDdcTVwzJkuVG+N47BaDTGWkywrkItyYyxVgY9eWduchR938i8qNuUCffjOgp7sfa+83hqXs13nSr/3dNqse5wPDDRG50nMzktKNWd63WzTP6Xuj92P3Pdk76ZgnZDOE4cSmV2u1fp958sa74yf/0pPZOjd6HySj50ZXg+x2RbfeF35ehxvMnkI1CZUW7G2VvcpN4pRh3L/15G8e60hmS1m3T0hnM9Z8DEtl71U2PERY19VJpjIWblBFMWfCOYUbhBfdd2MuiDk0LNVnDEvZPzBNV42VhR+uzug1lAlOBSeinC7il43KDXoS8McYs0OchlmG7i+SunJTmL0TktlHYu0hMWcbWU/WdifL0Q9L2VRuYuHGaTjFvC8sUIcNGNeWtKsp5Kg64cSUSe+K2SCL5wDBxXys7MKL+fWRNBTDwMCg7R5Pbg5LOfWbuVa5OTk0LGU30wqvAzx2CDePP9s9bPVhPSyFgFRRHlvk0WEI8IN/F13ywC0MN0SUU9kokuCP7kMrzlDVjpGW+kc6W2qkx2uGlOELvzn3kNgdw6gbivVsKSPc9Ok+HsdhKbP5OTql+/6vnqGmGl/21rKUfUspj8kyXIfnzXx87Kpn5mM00jDxlvNKZesTJ1XvzUiDUc6GpbJyFLFjKY6olYL1ytGjrdy0pmgWR7UR4UZvs2BWbsyZV3r5AqfKjdsYbogop8x3rwgCmIYKIz13prMRYrqS9dyMdMjK7A2xBhizemE9WRfmoHKDHay1032pNy61rsmCqb56um+mErZSKBweBO2eg4RwM8Jz5v++olKdvC+N7YGUDYlha+Q/P2yINEMIKSdPOVdekv2crtzoBl+noTusUbP7haHPzYUCMfMKzxsWZ9QhK1vN29nmzaMKGC7iR2Fm9tyYJ4tsluyTsZ8KnnjdW84rkStnRBe4m3v1yMrpCSdsy+3qPZ/SrdyMtqFY72CNd9ybtncmVG6cem7Mqel2Wwtkyqzc6IBl/n52J37zsRxp9QVh7br3jZO3x1bazYZMjgearqpS/149c2jxxEz0D623mHKjTdNYYysQHYDt9soC64rCZrhB8DeHWvG/VqoeOLewcpOnRfxw2bNnjzQ2Nrp9OER5ZWYLnNx0X0gkX/dvc51ZNcBux1/5zHg1HfqLH6l1/KPvxDzpWfOKuZCfNWTYVW70O+xMZibds6Vd5l5dZTQUpzMslf0TlDllX1etEmZD2YU7I3BlOnU6GzLpAYJrrxyr+l2yFW5SDes5GVM+tMijrtzYbfhqF26slTwMTWEquK7+ZDp8mSvejFxE5BvYRG8k4SblLKoss++5Gfp4/uwq9W4UFZ6RBhtItkmnOSw1bJsIm5PCaEv81v4JPCe9/SnCTcJsqew/F+bvqysgqSo3dj/jJvMYnSpgySBAIOBka1HB974jukHp+65I3Kg03fDbrlYpTh6kzRl+eD1aFx80Z1l5dUgKWLkhooykmCyVUM1IqFa4WLox3/Vm2nxq/k7WvGJunpmqErHqxgnDtmxIF36HzXedKU3LXo/vxo0p5vprqcJNqhloo2G3dUGqwJK4QrH/KzfZ9vG/r5ILzimRi0fYV1RWMjRsqUOb07YcCGKYFYXqzEVvGn4/ZrjJVmjLBYabNCxatEgNJ9XX10ttbW3C13BddXW1a8dG5HVm5STZEE6upFrETy+mN1pFBc7VCLMSlGr2z8xp5RkdB6pP2F+pq3tQrR4bny1VnHpYytx1PVsSm4OHD0vpPacSfsbscfHAsFShx8INqn2Xv33kr5PyWJA52t4Xf10mm3W4/FN18ss/dMk/fXD4uS2hcpOF3ddzheEmDbt27ZJ169YNux6hZv/+/a4cE5FfmMNPZpDI06hUyqngI10J1ypxBlDibZmlf7u9nLINwyBd3f1qJdr4OjcOb67N0GPd0DJXM43M8Gf3vCT8jAfOmwkNxT4+W5bFnt+2zoG0ersueXOZuthJHJZi5cbXZs2aJbt37064Ds3B+/btY9WGaJSVm3yFm6lTopv4OVZuMvz7bIYj6/Rms1E3F30tVhU4abX0qym/qXpuyoxhCachimxXblI1nyYMS3mgcpO46KD7x5ONafkwmt4yrc6YLZXJxqq5xnCThvnz5w+7btu2bbJkyRJXjofIT8zzWUFCf0puTxb/+i8T5fE/n5I5Vw6f2m1WEAqz2XNjOWdgBtbfXlKuTvTZ2hIgGX3SilZuJGm4Madq56LnxgwnOhikWvclYdE8D4SbhBDsgeMZrTLL85tJpc4MNOa0cK/xfLhpb2+XpUuXqgrJqlWrHL8PYWPr1q3S0NCgfgayFT6mT5+e8DmOJ9mxEJHTIn7GH9UcnysuOr9MXewkNhRndj8JfUSWygT6GlYsnCD5oitF37i/JX6dY+XG6LPJ5gKJQ/c7PAAmPDyRFMNAHhiWSuy5kcCEm5IMgpq5eCDCu1d5NtwgQGDYZ+bMmSq4YGjIyebNm2XDhg2yadOm+HX4mdmzZ6vAk024XRwTEaXHrNCYf2TdXB4jm5WbxHAjrrIbbnA6KZvDUubH2WIO4+iAlWrrjEy2X8iFxOFL949ntMosz28mQW3c2AKpqSqQzq4BueDc4UO+XuHZcGNWRhBcnKBKs2DBgmGNvQhDCEhoBF64cGFWjyvbgYkoyMzzmTl11M1TRWE2p4KbQcnlBc3sFmZzepduBk1ziCpbEhfsG/nPeKFSktBz44GwNVrllspcJr8LXuNrbp0s3T0DMr7asxHCu+EmXRs3bnScjo1embVr18bDDaou+DwdZhXIbCJubW3NwlEThTPcmNsR5Gv7BTvZnApu/n7pnsRzxW4pfKcKiDmElosVis0TqN3JNDKKn8m3bDaeu6nUEl4zfWyztf9YLnn/CNMIIda1ZzSEHgQSVHcQflDNSTa8lQoqSLhNIkpfxOFE6+apyxw+yrxy442hNqfKjdOJ7OyJRWpdnKrKwhzNlhr5Y2xOt/bCsJTXFvEbrWLLY+mF4Jhr3u0GGsEaNE6BQ1+P3p1sQFByClJEYTWpNsV7JIfKRqr+i3yx2+NptEFppDuK5yfc2H8vtoZ44LYpcu/SyTl5LhKH/tL7GXMIze0qmDoGjy0qOFpFlsd/NFtJ+I0HXj6Z0VWZZLIVbriuDdFwH31vlbzvnRVq+wA75imh0EPNt9l6R17gpWGpEVRu4qsaj3KzzlxUx7xWHTFfr+bqyX5TUBCxLEjorcc5FwKd33QQyVafDG5vJDOlenp61EXr6urKynEQeQkqALd8vG7EPSlu/nk1l/7PtJfCrNYUeLHnxqXAUJjicbErFpmrJleMcp+tnA1L+TwQFBdFpC+2sGMmU8H9ItDhJtusqxSnsnLlSlmxYkXOjofID8whDzdWKLbTP5C9/oNCDw1L2S2H71Z/xWiG63CsX/50nQqf1WPdL5UEZSq4fmy7e5KvWh0k7kfjHNKL+bnVJ7N8+XLp6OiIX3bs2OHKcRB5RWLPjXvHMbGmMGuBJGHNHJf/ok6uK5Tr3lflif6KxHCT/s9dPbNCZr+jQrwgsaFYfK3YY9Psc42VmxwqLS1VF62ystLV4yHyUg+Dmw3FqAqs/9LkrGw7YC5S6PY6N3hMP/X+ajlxalC2PHbc1XfpXppFNlpmWPV7taPEONtzWMoHMCPKqWFY99q4PX17zZo16tLd3e3qcRC5zSuVG2g4q8TVCkUumWv3uDYsZe604faTnZXtF/z5O3h1U9Jc88j/ipnt+6SHn6x06LHuDZVvixcvlr1798qWLVtcPQ4itwXh3bwfwk2yncrdOAa/PtdBWcTPiwsk5ppH/lccPewf5VS5aW5uzmjRvmxB1WbatGkyZ84ctw+FyFXmG3ifvplPEdi88Ut5YT0hM+jZHYI3HqnkzOP2eyAoZrjxl3nz5qnhJ7uAgw01Fy1aJG5j5YYot+HmmsujDaiNb7HfBTyXEta58ci7ey8Mofi1WmOKzi3yzmOaiZKEcCOB54tfEcNOTmvVYO2Z9evXq00yzf2gEGzQa9PU1JTHIyWi9MNN9k4WN/1jjbzjrWUyY1q55Ju5R5bbDcVembVlfSwGzZTgJ8Zx+73aUVwUnN/F1+Fm9erVsnPnTlWR0RcMQSHMYENMM7TgY1yPgNPQ0BDvwfHK7t1sKCayaTLN4u2WlRTIexrdmT5caIQ0j2QbtV+U27zSf5SJgUHvVeWyMxU8IkHn2XCzZMmSEX1/ppti5npYChfsTdXY2Oj24RC5xqzWuLkreD57S9yAYbrn9vXIzGn5H6azqx7ZFm688mAlYVacvFKVG60iI9xwKjgRURaZ5zOfnys8HW7wLn3pdc5bYuSDuTjioFkC8ZFB346nDWdWa4qNbS6CKiDvnYjIdz03EgwJJ/HgnAuzGvr8+rAE6fksMjfO9PkQWzpYuckD9twQDQ80kYCUbsz2Ba9UbrzAfHrtQoIfHqtghZtIqIalWLnJA04FJwpy5cbtI/B+f5VfM0JvbBftICgsDNdsKf5vSUR5E8RF/MxhqaD8TllnV7kR75t9WYVUVRTIrJljxO+KCsK1/QKHpYgob/y6x1CuKzcBGaEbET/URMZVFsrmu870xLpBmSpKqNxI4IXgV3Qfe26IogKYbRKCycSa0f1JDeLjkiDi30AXlDVhCs3ZUgH5nZIJQB71PvbcUNhNrou+bbz4TaUSxGrUppVnyk++PkUqykf2J/WsidEwdNlb87+ycj7ZnUr9Em6CojBkU8FZuSGinPvx7VOk5/RgwuyTIM1EqRs3urm1375pomzfeVLed4U7qyvni1mZurJxjPzX7pPy0Wuq3DykUCtmzw0RUXZK+0XlEenqHnD7UDxlQk2R/ON7w3WS/9Kn6+QzHxgnZ04sdvtQQmXQWEixOATr3HBYiojyhkMRhG0MGGxc3uG8KPj/I7JykwdsKCaKMv+kBmhUilII/qnU+wYDtE9WOli5yQM2FBPFBP9vKpEnDYTs3QTDDRHlTeCnPJM9PvGuG2S4ISIioiAZDFm6YbghIleE7Y9tmLFw477BkP3vxnBDRK6s9lo5wgXvyL+Ybdw3GLJww9lSRJTXcHPX4gnS2zeo9u0hovzoC9AO5+ngW6c8wDTwadOmyZw5c9w+FCLXYauBKy72/y7LlD4OS7nv0gvK1L8hmAWusHKTp6nguOzZs0caGxvdPhwiIgqZKxvHSGlxRN50domEAcMNERFRwEUikVBVTDksRURERIHCcENERESBwnBDREREgcJwQ0RERIHCcENERESBwnBDREREgcKp4HlaxA+X7u5utw+FiIgo8Fi5yQMs4Ld3717ZsmWL24dCREQUeAw3RESUU9x+gfKN4YaIiHLqwvNK3T4EChn23KRp8+bN0traqj5ubm6W+fPny/Tp090+LCIiz3rgtjPkpb+elr+7tNztQ6GQYbhJw7p162TWrFlSX18fv27u3Lmyfv16qa6udvXYiIi86pxJxepClG8clkrDpk2bEoINzJ49W3bt2uXaMREREZE9hps0LV26NOHz3bt3y4wZM1w7HiIiIvLpsFR7e7sKFhj+WbVqleP3bdu2TbZu3SoNDQ3qZ2DJkiVZOQbcb2Njo7oPVHHwLyo3HJIiIiLyHs+GGwSaffv2ycyZM1WYQM9LsmbfDRs2qOCh6QCCwJMpNA6jUoOAg/C0cOFCWbt2bca3S0RERCEalkK1BGEF1ZdkFRJUaRYsWKCae00IQ5jdhGbgTOE+EGYQcBBscJsITkREROQ9nq3cpGvjxo2q2dcuAGG6NkIJAomu5qRbcTGrQJgZhc9xH/j5RYsWydVXX62qS8mGyoiIiCj/fB9uEDpqa2ttv4bQs2fPHlV5QTBBNSfZ8JYd/Lw1PGGYCvdrbTImIiIi93l2WCpdmI5tnaat6evRuzNaTkNimCnldL9ERETkHt+HG12VSSaTcIMAg5+33gb6bpYvXz7q2yUiIqLc8P2wVDI69OhtE0YLQ1ArV66Uuro69XlLS0ta2y/09PSoi9bV1ZXRcRAREVHIw022pFpjxwkC0YoVK3JyTERERBTQYalk9GJ+Tg3HuYZhq46Ojvhlx44drhwHERFRmLByk0OlpaXqsmbNGnXp7u52+5CIiIgCz/eVG93wa0f32rg9q2nx4sWyd+9e2bJli6vHQUREFAa+Dzdo6tXDT1Y69KRq/CUiIqLg8H24wTYITpWb5ubmES/alwsYkpo2bZrMmTPH7UMhIiIKPN+Hm3nz5qnhJ7uAgw01sVWC2zgsRURElD++aCjGsJPTWjWYpo1NM7EVgrkfFIINem2amprEK3RD8fPPP+/2oRAREfmKPnemMzknMjg4OCgetHr1atm5c6eqyGB/J8AQE8IMFtCzhhZsirl161ZpaGiI9+BgR3Ev0LOlcFyHDh1y+3CIiIh866GHHpKPfexj/gw3QXTs2DF55JFH5LzzzpPy8vKc3x9WRH73u9+t1teprKzM+f2RP/F1QqnwNUJeeI2gYnPgwAG55pprZPz48Um/l+EmwDo7O2XcuHFqAcGqqiq3D4c8iq8TSoWvEfLba8T3DcVEREREJoYbIiIiChSGmwDD1g+33Xab+pfICV8nlApfI+S31wh7boiIiChQWLkhIiKiQGG4ISIiokBhuCEiIqJAYbghIiKiQPHF3lI0cl7ejoIyg+cTe6lhK5JVq1Zl5TWQq+8ld6xbt06am5vV1jXYlw9b1zi9Vvg6Caf29nb1OmlpaYl/jtfK8uXLZfr06f5/nWC2FAXLpk2bBpuamhKu27p16+CsWbNcOybK3JIlS9TzumrVqsH6+vrBhQsXZuU1kKvvJfdeJ83NzfHP29ra1PNTXV2tPjbxdRJObW1t6nVi93pALMBz5ffXCcNNwODFavdHDKZPnz64du1aV46LsgvPpVO4GclrIFffS+7AyWL37t3DrsdzhpOWedLg6yS81q5dq54jMwRruB7Pk99fJ+y5CZiNGzdKfX29GrKwwm7qa9eudeW4yJuvgVx9L7lj586dtkMKeM4WLlyohgB06Z+vk/Cqr69X/+rXQjJ+fZ0w3ATMpk2bpLa21vZreCFhDD6dFzSF4zWQq+8ld6CHYvbs2bZfa2xsVP/u2rVL/cvXSXjNmjVL2trabIMwnpsZM2bEP/fr64ThJmDwh0uncit9/b59+/J8VOTV10CuvpfcYZ6UrPSJQp9Q+Dohq9WrV6t/MWFB8+vrhOEmYPAHzK7MZ+IflmAbyWsgV99L7sCsE1zsYPYU6HfrfJ2QCc8bhoJQUTFDh19fJ5wKHiL6hYTpfhROI3kN5Op7yb0hK/TdpIOvk3BNB29ublbPCYKxUzXFb68ThhsiooDDMANOWsnWRaLwQYjQa8qg2XzRokXq0tTUJH7HcBMi1jF3Cp+RvAZy9b2UX2jMxLvz3bt3pxwG0Pg6CWeT8YwZM6SmpkYNT6VT5fPy64Q9N0REATZ37lzZvn37iIYbKJyqq6tV1QbVG7/PaGO4CRj8AXNqwtLjl/wjF2wjeQ3k6nvJGzAtHO/C7ab88nVCdmbOnBkfpvLz64ThJmDwR8wpcesXkt0fOgrnayBX30vuw7tv9NpguMEOXyfhVVNToyp6dvTQpflc+fF1wnATwHdqTmkYHfFOf+gonK+BXH0vub9eCU5e1ucEz59+R87XSTi1t7cnHXLSSwboqolvXycZbd5AnqP367DbMwSbLWLvGQrH3lLpvAZy9b3kHjwP1o0Pza/p54+vk/BamGTTXfxtwfOn+fV1wnATQHY7reI67sgbHPif3/ocj/Y1kKvvpfzDppl4LrDpoHnBTvK4mBsiAl8n4dTc3KwCjnXTSrxWUPOwbr7qx9dJBP/JrPZDXoTSMxZkamhoiJcg9XoG5N+hBmyMiFIupvcCSrcYI8dGc9a1KUbyGsjV91L+eymSDTlgqEEPO2h8nYTX0tg2C3h+0MSLqddYC8luyQC/vU4YboiIiChQ2FBMREREgcJwQ0RERIHCcENERESBwnBDREREgcJwQ0RERIHCcENERESBwnBDREREgcJwQ0RERIHCcENERESBwnBDREREgcJwQ0RERIHCcENEvqc3EnWCTfkWLVqUt+MhIncx3BCR761duzbl99jtdExEwVTk9gEQEWVq3759Sb/e3Nyct2MhIvexckNEvrZ582a3D4GIPIbhhoh8XbFZsGCB24dBRB4TGRwcHHT7IIiIRmrdunWydetW1Uzc2toqs2bNin9t1apVUl9frz6ePXu2CkHoudm9e7e6Dp/PnTtX/Ttjxgx1O7g9PYSF28RtTJ8+XX28a9cu9TX8PJqTlyxZYntMq1evjvf24HbwvQsXLsz5Y0FEiRhuiMjXMAsKIQUBJdn3IKDocKMh4LS3t6t/582bFw8mGOpCRWj79u3DghMCy9KlS4eFlsbGRlm+fLk0NTUl3D5CFoISEeUPh6WIKPAQSOwgeCD0oHpjzqZCmEHowSwsM9jor23atGlYxQbMYAMINfhaqoZnIsouhhsiCq26ujoVYjD8ZNJBxy4U4Wuo5phQyZk/f75teML3b9u2LevHTkTOOBWciEJN9+bYsYYeO7oqgx4bp5lbnIpOlF8MN0QUapku7qfDDfprrENYdkNVRJR7HJYiosDJ59o3uvKD4S0i8gaGGyLyPWsPTD4beHVfzc6dOx2/h8GHKL8YbojI19D063Z4wKwovU6OlblODhHlB8MNEfka+lxQqdEBB2HCrhHYLgC1tLQkDUbphiaseYPjsO48jp/HTCm7Xhwiyh0u4kdEgeixwSJ+WEgP9AJ7CBdYjA8BAx8jZOjVi83r0fSLqdz4F+vS4LbwNXwfghLWtUGAwpRv82cQZszgguqNXsUYP4vhMq5QTJR/DDdEREQUKByWIiIiokBhuCEiIqJAYbghIiKiQGG4ISIiokBhuCEiIqJAYbghIiKiQGG4ISIiokBhuCEiIqJAYbghIiKiQGG4ISIiokBhuCEiIqJAYbghIiKiQGG4ISIiIgmS/x/s/WxxMm84XAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the waveform amplitude after making sure that the peak at t=0\n", "# and interpolating on a new time grid\n", "rd.plot_interpolated_amplitude()" ] }, { "cell_type": "code", "execution_count": 8, "id": "c1e62c9f-68e0-46f1-8032-af3554afaec9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ".......... Data read. Shape: (11, 11500)\n", "..... time and strain/psi4 data is loaded\n", "..... waveform mass-scale changed from m1 to M\n", "..... junk data is removed from the start\n", "..... strain/psi4 is cast onto a common time grid\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# make sure to throw the initial orbits for the post-merger fits\n", "rd = PostMergerAmplitudeFit(filename=file,\n", " throw_junk_until_indx=1200)\n", "# and we are done\n", "rd.plot_interpolated_amplitude()" ] }, { "cell_type": "code", "execution_count": 9, "id": "1bec3b1f-0332-47f1-a48e-28a88d537abb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ".......... Data read. Shape: (11, 11500)\n", "..... time and strain/psi4 data is loaded\n", "..... waveform mass-scale changed from m1 to M\n", "..... junk data is removed from the start\n", "..... strain/psi4 is cast onto a common time grid\n", "..... fitting the tails with a decaying power law\n", "..... fitting QNM with the 220 mode\n", "..... fitting oscillatory intermediate part\n" ] } ], "source": [ "# now pass it again to gwtails with fit options\n", "rd = PostMergerAmplitudeFit(filename=file, \n", " throw_junk_until_indx=1100, # initial indices to remove before analyzing post-merger data\n", " qnm_fit_window=[20,70], # time window to fit qnm\n", " tail_fit_window=[200,1000], # time window to fit tails\n", " crossterm_fit_window=[30,400]) # time window to fit the crossterms" ] }, { "cell_type": "code", "execution_count": 10, "id": "56822c1d-47ed-4999-a653-3b670ebc4b63", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rd._plot_qnm_fit()" ] }, { "cell_type": "code", "execution_count": 11, "id": "3493e3a3-da9b-489e-88b1-0d948b9a95ac", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rd._plot_all_fits()" ] }, { "cell_type": "code", "execution_count": 13, "id": "52dac57b-fadc-4a10-8476-efc8dedf5751", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Atail : 3.616772819e+05\n", "c : 2.816224671e+02\n", "n : 3.671228711e+00\n", "Aqnm : 5.773862018\n", "tau : 12.037748089\n", "phi_tail : 7.762114539\n", "omega : 0.752691895\n" ] } ], "source": [ "# print interesting fit params\n", "rd._print_all_fits()" ] }, { "cell_type": "code", "execution_count": null, "id": "3aed7b48-6998-4aa7-9d32-6108e1ec9a2b", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.9" } }, "nbformat": 4, "nbformat_minor": 5 }