diff --git a/code/NR_dynesty.ipynb b/code/NR_dynesty.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..15f6b970e46253c7d3b80f92d011f95d58cb96bc --- /dev/null +++ b/code/NR_dynesty.ipynb @@ -0,0 +1,1027 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 132, + "metadata": {}, + "outputs": [], + "source": [ + "#Import relevant modules, import data and all that\n", + "import numpy as np\n", + "from scipy import interpolate\n", + "import corner\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib.ticker import MaxNLocator\n", + "from matplotlib import rc\n", + "#plt.rcParams['font.family'] = 'DejaVu Sans'\n", + "#rc('text', usetex=True)\n", + "plt.rcParams.update({'font.size': 16.5})\n", + "\n", + "import ptemcee\n", + "#from pycbc.pool import choose_pool\n", + "from multiprocessing import Pool\n", + "import h5py\n", + "import inspect\n", + "import pandas as pd\n", + "import json\n", + "import qnm\n", + "import random\n", + "import dynesty\n", + "from dynesty import plotting as dyplot\n", + "\n", + "#Remember to change the following global variables\n", + "#rootpath: root path to nr data\n", + "#npoints: number of points you re using for your sampling\n", + "#nmax: tone index --> nmax = 0 if fitting the fundamental tone\n", + "#tshift: time shift after the strain peak\n", + "#vary_fund: whether you vary the fundamental frequency. Works in the model_dv function.\n", + "\n", + "rootpath= \"/work/francisco.jimenez/sio\"#\"/work/rayne.liu\"\n", + "nmax=1\n", + "tshift=12\n", + "t_align=0\n", + "vary_fund = True\n", + "\n", + "#sampler parameters\n", + "npoints = 1500\n", + "nwalkers = 400\n", + "npoints = 1000\n", + "ntemps=20\n", + "dim = nmax+1\n", + "ndim = 4*dim\n", + "burnin = 1200 #How many points do you burn before doing the corner plot. You need to watch the convergence of the chain plot a bit.\n", + " #This is trivial but often forgotten: this cannot be more than npoints! I usually use half the points.\n", + "numbins = 32 #corner plot parameter - how many bins you want\n", + "datacolor = '#105670' #'#4fa3a7'\n", + "pkcolor = '#f2c977' #'#ffb45f'\n", + "mediancolor = '#f7695c' #'#9b2814'\n", + "mismatch2=0.0002\n", + "error=np.sqrt(mismatch2)\n", + "\n", + "\n", + "#Import data and necessary functions\n", + "#TimeOfMaximum\n", + "def FindTmaximum(y):\n", + " #Determines the maximum absolute value of the complex waveform\n", + " absval = np.sqrt(y[:,1]*y[:,1]+y[:,2]*y[:,2])\n", + " vmax=np.max(absval)\n", + " index = np.argmax(absval == vmax)\n", + " timemax=y[index,0]\n", + " return timemax\n", + "\n", + "\n", + "def EasyMatchT(t,h1,h2,tmin,tmax):\n", + " #Computes the match for complex waveforms\n", + " pos = np.argmax(t >= (tmin));\n", + " \n", + " h1red=h1[pos:-1];\n", + " h2red=h2[pos:-1];\n", + " \n", + " norm1=np.sum(np.abs(h1red)**2)\n", + " norm2=np.sum(np.abs(h2red)**2)\n", + "\n", + " myTable=h1red*np.conjugate(h2red)\n", + " res=((np.sum(myTable)/np.sqrt(norm1*norm2))).real\n", + " \n", + " return res" + ] + }, + { + "cell_type": "code", + "execution_count": 133, + "metadata": {}, + "outputs": [], + "source": [ + "#This loads the 22 mode data\n", + "gw = {}\n", + "gw[\"SXS:BBH:0305\"] = h5py.File(rootpath+\"/git/rdstackingproject/SXS/BBH_SKS_d14.3_q1.22_sA_0_0_0.330_sB_0_0_-0.440/Lev6/rhOverM_Asymptotic_GeometricUnits_CoM.h5\", 'r')\n", + "gw_sxs_bbh_0305 = gw[\"SXS:BBH:0305\"][\"Extrapolated_N3.dir\"][\"Y_l2_m2.dat\"]\n", + "\n", + "\n", + "gw5 = {}\n", + "gw5[\"SXS:BBH:0305\"] = h5py.File(rootpath+\"/git/rdstackingproject/SXS/BBH_SKS_d14.3_q1.22_sA_0_0_0.330_sB_0_0_-0.440/Lev5/rhOverM_Asymptotic_GeometricUnits_CoM.h5\", 'r')\n", + "gw5_sxs_bbh_0305 = gw5[\"SXS:BBH:0305\"][\"Extrapolated_N3.dir\"][\"Y_l2_m2.dat\"]\n", + "# Remember to download metadata.json from the simulation with number: 0305. Download Lev6/metadata.json\n", + "# This postprocesses the metadata file to find the final mass and final spin\n", + "metadata = {}\n", + "with open(rootpath+\"/git/rdstackingproject/SXS/BBH_SKS_d14.3_q1.22_sA_0_0_0.330_sB_0_0_-0.440/Lev5/metadata.json\") as file:\n", + " metadata[\"SXS:BBH:0305\"] = json.load(file)\n", + "\n", + "af = metadata[\"SXS:BBH:0305\"]['remnant_dimensionless_spin'][-1]\n", + "mf = metadata[\"SXS:BBH:0305\"]['remnant_mass']\n", + "\n", + "#times --> x axis of your data\n", + "times = gw_sxs_bbh_0305[:,0]\n", + "tmax=FindTmaximum(gw_sxs_bbh_0305)\n", + "times = times - tmax\n", + "\n", + "#times 6--> x axis of your data\n", + "times5 = gw5_sxs_bbh_0305[:,0]\n", + "tmax5=FindTmaximum(gw5_sxs_bbh_0305)\n", + "times5 = times5 - tmax5" + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "metadata": {}, + "outputs": [], + "source": [ + "#Select the data from 0 onwards\n", + "position = np.argmax(times >= (0))\n", + "position5 = np.argmax(times5 >= (0))\n", + "gw_sxs_bbh_0305rd=gw_sxs_bbh_0305[position+1:-1]\n", + "gw_sxs_bbh_0305rd5=gw5_sxs_bbh_0305[position5+1:-1]\n", + "timesrd=gw_sxs_bbh_0305[position:-1][:,0][:-1]-tmax\n", + "timesrd5=gw5_sxs_bbh_0305[position5:-1][:,0][:-1]-tmax5" + ] + }, + { + "cell_type": "code", + "execution_count": 135, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.legend.Legend at 0x7fad4f010f60>" + ] + }, + "execution_count": 135, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 864x576 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#Test plot real part (data was picked in the last cell). Aligning in time\n", + "plt.figure(figsize = (12, 8))\n", + "plt.plot(timesrd, gw_sxs_bbh_0305rd[:,1], \"r\", alpha=0.3, lw=3, label=r'$Lev6$: real')\n", + "plt.plot(timesrd, np.sqrt(gw_sxs_bbh_0305rd[:,1]**2+gw_sxs_bbh_0305rd[:,2]**2), \"r\", alpha=0.3, lw=3, label=r'$Lev5\\,amp$')\n", + "plt.plot(timesrd5, gw_sxs_bbh_0305rd5[:,1], \"b\", alpha=0.3, lw=3, label=r'$Lev5: real$')\n", + "plt.plot(timesrd5, np.sqrt(gw_sxs_bbh_0305rd5[:,1]**2+gw_sxs_bbh_0305rd5[:,2]**2), \"b\", alpha=0.3, lw=3, label=r'$Lev5\\,amp$')\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 136, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.legend.Legend at 0x7fad57516e10>" + ] + }, + "execution_count": 136, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 864x576 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#Test plot im part (data was picked in the last cell). Aligning in time\n", + "plt.figure(figsize = (12, 8))\n", + "plt.plot(timesrd, gw_sxs_bbh_0305rd[:,2], \"r\", alpha=0.3, lw=3, label=r'$Lev6: imag$')\n", + "plt.plot(timesrd, np.sqrt(gw_sxs_bbh_0305rd[:,1]**2+gw_sxs_bbh_0305rd[:,2]**2), \"r\", alpha=0.3, lw=3, label=r'$Lev5\\,amp$')\n", + "plt.plot(timesrd5, gw_sxs_bbh_0305rd5[:,2], \"b\", alpha=0.3, lw=3, label=r'$Lev5: imag$')\n", + "plt.plot(timesrd5, np.sqrt(gw_sxs_bbh_0305rd5[:,1]**2+gw_sxs_bbh_0305rd5[:,2]**2), \"b\", alpha=0.3, lw=3, label=r'$Lev5\\,amp$')\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 137, + "metadata": {}, + "outputs": [], + "source": [ + "# Depending on nmax, you load nmax number of freqs. and damping times from the qnm package\n", + "omegas = [qnm.modes_cache(s=-2,l=2,m=2,n=i)(a=af)[0] for i in range (0,dim)]\n", + "w = (np.real(omegas))/mf\n", + "tau=-1/(np.imag(omegas))*mf" + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "metadata": {}, + "outputs": [], + "source": [ + "gwnew_re = interpolate.interp1d(timesrd, gw_sxs_bbh_0305rd[:,1], kind = 'cubic')\n", + "gwnew_im = interpolate.interp1d(timesrd, gw_sxs_bbh_0305rd[:,2], kind = 'cubic')\n", + "\n", + "gwnew_re5 = interpolate.interp1d(timesrd5, gw_sxs_bbh_0305rd5[:,1], kind = 'cubic')\n", + "gwnew_im5 = interpolate.interp1d(timesrd5, gw_sxs_bbh_0305rd5[:,2], kind = 'cubic')" + ] + }, + { + "cell_type": "code", + "execution_count": 139, + "metadata": {}, + "outputs": [], + "source": [ + "if timesrd5[-1]>= timesrd[-1]: \n", + " timesrd_final = timesrd\n", + "else:\n", + " timesrd_final = timesrd5\n", + "\n", + "gwdatanew_re = gwnew_re(timesrd_final)\n", + "gwdatanew_im = gwnew_im(timesrd_final)\n", + "gwdatanew_re5 = gwnew_re5(timesrd_final)\n", + "gwdatanew_im5 = gwnew_im5(timesrd_final)\n", + "\n", + "gwdatanew = gwdatanew_re - 1j*gwdatanew_im\n", + "gwdatanew5 = gwdatanew_re5- 1j*gwdatanew_im5" + ] + }, + { + "cell_type": "code", + "execution_count": 140, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.02010791222971675\n" + ] + } + ], + "source": [ + "mismatch=1-EasyMatchT(timesrd_final,gwdatanew,gwdatanew5,0,0+90)\n", + "error=np.sqrt(2*mismatch)\n", + "print(mismatch)" + ] + }, + { + "cell_type": "code", + "execution_count": 141, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x7fad574b1630>]" + ] + }, + "execution_count": 141, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Phase alignement\n", + "phas = np.angle(gwdatanew)\n", + "phas = np.unwrap(phas)\n", + "phas5 = np.angle(gwdatanew5)\n", + "phas5 = np.unwrap(phas5)\n", + "plt.plot(timesrd_final, phas, \"r\", alpha=0.3, lw=3, label=r'$phase$')\n", + "plt.plot(timesrd_final, phas5, \"blue\", alpha=0.3, lw=3, label=r'$phase$')" + ] + }, + { + "cell_type": "code", + "execution_count": 142, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.20722293240753042\n" + ] + }, + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x7fad574e4e10>]" + ] + }, + "execution_count": 142, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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MJEohL3IVek6Gmov198Q0FyvLovaRajUXkzlFIS9yhVreaObAf05sLlZZW8Lajy3H59f0jMwtCnmRaQoMj3HwuXqa3+6LjKm5mMx1V9U0w8z+1Mycme2dYtlNZva6mQ2YWbuZ/b2ZqfuSJLT+9l5e/5cDEwI+pzid9/3WGgW8zGlXvCdvZouAvwT6p1i2EfgxcAj4Q2AJ8MdAFXDXtRQq4pX23a3s+f5pxkZdZEzNxSRRXM10zZeAOkL/BRRMWvZF4Byw1TnXB2BmJ4Cvm9mtzrlXr75UkdkVHAty+PkGmvZ0R8Z8fmPdR5aw7N1lHlYmMn1XtBtiZjcCnyS0lz55WR5wO/DkeMCHPQn0AQ9dQ50is2ro/AA//9r+CQGfVZDGzZ9erYCXhDLtPXkzM+Afgf/nnNtr72zCsT78fHWxg865kfDc/aZrK1VkdnQcPMPu701qLlady6aHatRcTBLOlfzE/iqwBrj3IsvHd2/apljWBrxnqgeZ2ePA4wAVFRVXUI5IfLmgo+FHTRzdeS4yZj5j9dZFrNi6VM3FJCFNK+TNLJfQXPyXnHNThThAZvh+eIplQzHLJ3DOPQE8AVBbW+umWkdkpo30DLF7Wz0dLUORsfTsFLY8WEXxigLvChO5RtPdk/9LYAT4u0usM35ud/oUyzJilovMKV3HzlP3TBNDAzHNxSqy2fJIDem5aR5WJnLtLhvyZlYGfAb4HFAaMxefAaSZWSXQTXSaZqp3pcqA1musVSS+nKPp1VBzMTf+P6RBzU0LWfWhZWouJklhOnvypUAa8OXwbbLj4fH/AYwBtcBz4wvNLA3YCPzHNdYqEjdjg6Psfaaetsbo6R6pGX423VdJ6ZpiDysTia/phPxx4L4pxr8AZAN/ANQ757rN7BXgMTP7YsxhlI8BOcCz8ShY5Fr1NF8INRfrHouMFZRlsuWRGjUXk6Rz2ZB3znUD2yePm9lngDHnXOyyzwI7gR1m9g1CZ7z+EfCSc+6VONQrck1adraw/+V2goHoe/yVW4pDzcVSdPaqJJ+4HvTrnNttZh8kNH3zFaAH+DrwF/H8OiJXKjA8xsHvNtB8qDcypuZiMh9cdcg757ZeZPx14L1X+7wi8dZ/po+6pxroOTcaGcspTueGR6vJKc32sDKRmafT9ySpte9pY+8LLYxG853FawtCzcXS/d4VJjJLFPKSlIJjQY58v5Fjuy5Exnx+Y+2HFlN5U7l3hYnMMoW8JJ2hrkF2PVXP+bboydeZeanUPryCgoo8DysTmX0KeUkqnYc72P3cCYaHokfPlFbnsunBalKzUj2sTMQbCnlJCi7oaHy5iaM7O3EudKaqGax6/yKqb61QczGZtxTykvBG+4bZva2esycHgVCap2f52fxAFSU1hd4WJ+IxhbwktAvHu6h7ponBvkBkrGhJFlseXUlGnpqLiSjkJWGdeO0kh149QzDaPJIV717AdXdUqrmYSJhCXhLO2OAo+79dz+n6ic3FNt6zjEXrSjysTGTuUchLQuk93UPdtkb6LkSbi+WXZlD7aA1ZxVNel0ZkXlPIS8I4/cvT7PvBaQLR6XcqNhax/p4qNRcTuQiFvMx5wdEAh7Y3cGJ/T2TMn+pj/R1LWHrDIg8rE5n7FPIypw109LNrWwMXzo5ExrIL06h9pJq88hwPKxNJDAp5mbPO7D/Dnu81MzoSPXu1bHUeGx+oUXMxkWlSyMuc4wJBjv7gGA2/7IqMmc9Y88Fyqm5Z7GFlIolHIS9zynD3ELu31dN5aigylpGbSu3DVRQuy/ewMpHEpJCXOeN8fSe7vnOCoYHo2U0LKrPZ/MhK0rLVXEzkaijkxXvOcezHJzj807OR5mIYrLqllJrbKnT2qsg1UMiLp0b7R9j7TD3tTQOMNxdLy/Sz+f7lLFhV5G1xIklAIS+e6T7ZRd3TTQz0Rs9uKizPZMsjNWQWZnhYmUjyUMiLJ5pfb+bAK2cIBqKHR1bdUMx1d1bh82t6RiReFPIyqwLDYxz4Tj0th/siYylpPjbcvYzyDQs8rEwkOSnkZdb0t/dSt62RnnOjkbHcknRqH60hZ2GWh5WJJC+FvMyKtl2t7H3xNGOj0emZJesKuP7j1fhT1VxMZKYo5GVGBceCHH6+gaY93ZExn99Yf8cSKt5V5mFlIvODQl5mzND5Aer+o56uM9HmYlkFadQ+vIL8JbkeViYyfyjkZUZ0HDrL7u3NjAxFz15dVJPLxgdrSM3Uj53IbNFvm8SVCzoaftTE0Z3nImPmM677wCJWbF3qYWUi85NCXuJmpHeY3U8dpaMlprlYTgqbH6iieEWBd4WJzGMKeYmLrmPnqXumaUJzsZJl2Wx+uIb03DQPKxOZ3xTycm2c4/iOk7y94yzBaL5Tc9MCVn24Us3FRDymkJerNjY4yr5n62lt6I+MpWb42XTvMkrXlnhYmYiMU8jLVelp6abu6WP0d49FxgrKQs3FsorUXExkrlDIyxU79eYp9v+wlUC0eSSVm4tYe1cVvhSdvSoylyjkZdqCowEOPlfPyYO9kTF/qo8NH1vK4s2lHlYmIhejkJdpGTjbR91TDXR3RpuL5RSnU/tINbmLsj2sTEQuRSEvl9W+t529L7QwOhJtLrZ4TT7Xf7yalHS/h5WJyOUo5OWiXCDIkReP0fhWV2TM5zfW3l5O5XsXe1iZiEyXQl6mNNQ1yO5t9ZxrHY6MZealUvvwCgoq8jysTESuhEJe3uHc0U52fecEw4PRs5sWVuWw6aEa0rJTPaxMRK6UQl4iXNBx7JXjHHm9A+dCZ6qawar3L6L61gpMJ6+KJJzLHtRsZjeY2T+Z2dtm1m9mzWa2zcyqp1j3JjN73cwGzKzdzP7ezHRdtwQw2j/CW/92kMM/64wEfHqWn3c/VkPNbQp4kUQ1nT35PwPeCzwL7AcWAb8L7DGzG51zhwHMbCPwY+AQ8IfAEuCPgSrgrrhXLnFz4XgXu55tYqA3enZT0ZIstjxSQ0Z+uoeVici1mk7I/x3wCedc5PI+ZvY0cIDQH4BPhYe/CJwDtjrn+sLrnQC+bma3OudejWPdEicnf9bMwVfaJzQXW/GuElbfsRyfX7vvIonustM1zrmdsQEfHmsgtMd+HYCZ5QG3A0+OB3zYk0Af8FDcKpa4CAyPsedbh9j/cjTgU9J83PBwFWs+VqWAF0kSV/XGq5kZUArsCw+tDz9XXex6zrkRM9sLbLqGGiXO+lp7qNvWSG9XtLlY3sIMah+tIbsk08PKRCTervboml8BFgOfDX9eFr5vm2LdNuA9F3siM3sceBygoqLiKsuR6Wp96zT7fnCasWi+U7GhkHX3rMCfquZiIsnmikPezFYD/wS8Dvx7eHh89294iocMxSx/B+fcE8ATALW1te5i68m1CY4GOLS9gRP7eyJjPr9x/Z1LWXrDIg8rE5GZdEUhb2aLgBeBLuBB59z423WD4fupDsXIiFkuHhjo6GfXtgYunI2+tZJdmEbtI9Xkled4WJmIzLRph7yZ5QMvAfnAe51z7TGLx6dpyt7xwNBY61VXKNfkzL529jw/sblY2eo8Nj5Qo+ZiIvPAtELezDKAF4CVwG3OuaOTVjkIjAG1wHMxj0sDNgL/EY9iZfqmai5mvlBzseU3q7mYyHxx2ZA3Mz/wNKE3T+9xzr05eR3nXLeZvQI8ZmZfjDmM8jEgh9CJVDJLhroG2f3UUc61RadnMvNS2fJQFYXL8j2sTERm23T25P8XcDehPfkiM/tkzLI+59z28MefBXYCO8zsG4TOeP0j4CXn3CvxK1kupfNwB7ufO8HwUHR6Rs3FROav6YT8xvD9XbyzPcFJYDuAc263mX0Q+DLwFaAH+DrwF/EoVC7NBR2NLzdxdGenmouJSMRlQ945t3W6T+ace51QnxuZRSO9w+zZdpSzzUNAtLnY5geqKKkp9LY4EfGUWg0nuK5j59n1bBOD/dHmM8VLs9j8yEoy8tI8rExE5gKFfKJyjqZXT/D2ax24mFPIqm9ayOoPL8N8mp8REYV8QhrtH2Hfs/W0HRuIjKVm+Nl07zJK15Z4WJmIzDUK+QTT03yBuqeP0d8T7f1eUJbJlkdqyCrK8LAyEZmLFPIJpPn1Zg68coZgIDo/s7y2mDV3LseXouZiIvJOCvkEEBge48B36mk5HG3Vn5LmY8NdFZRvXOhhZSIy1ynk57iper/nlqRT+2gNOQt1+VwRuTSF/BzW+tZp9r3UythodHpm6foC1t9Xrd7vIjItCvk5KDga4ND3Gjmxrzsy5vMb6z+6lIob1ftdRKZPIT/HDJztY9fTjer9LiJxoZCfQ9p2tbL3xdMTpmfU+11EroVCfg4IjgZ4+/lGju+dOD1z3W3lVN2i3u8icvUU8h7rb+9l19ONdHeORsay8lPZ8tAKCiryPKxMRJKBQt5DrXWt7PvBpOmZVXlsuL+a1ExtGhG5dkoSDwRHAxza3sCJ/T2RMZ/fWPNBXZpPROJLIT/L+tt7qdvWSM+5mOmZgjRqH6oif6mmZ0QkvhTys+j0W63sf+mdR89s+LimZ0RkZihZZkFgeIxD2xs4ebA3MubzG2tvL6fyvZqeEZGZo5CfYX2tPex65tiE6ZnsglS2PFxN/pJcDysTkflAIT+Dml9v5uAr7QSird8pvy6fDfdX6+QmEZkVCvkZMNo/wr5vN9DW2B8Z8/mNtR9aTOVN5R5WJiLzjUI+zs7Xd7L7uRMTLqydW5zG5ofUe0ZEZp9CPk5cIEj9j47T8GYnzkUvol25uYg1H6tSa2AR8YRCPg4GO/vZ/Uwj59uGgVDAp2b42XjPMhat04W1RcQ7Cvlr1FoXOvZ9dCR67Hvx0iw2P1xDRn66h5WJiCjkr9po/wgHtzdy6kj0uqvmM1a9r5TqDyzFfHaJR4uIzA6F/FXoPNzB3uebGeyLHhuZlZ/K5gerKFyW72FlIiITKeSvQGAkwJEXj9G0+8KE8SXrClh3d5VaE4jInKNUmqbuk13s+c5xervGImOpGX423FVB2fULPKxMROTiFPKX4QJBGl85wdE3OnHR91ZZWJXDhvurychL8644EZHLUMhfQk9LN3u/e5zujuhFtf2pPtbeXs6y9+jMVRGZ+xTyUwiOBWn4zxM0/Hzi3ntheSabHlhB9oIs74oTEbkCCvlJLhzvYu/2E/Sej3aN9PlDh0au2KpDI0UksSjkwwIjAY7+8DhNdecmtCUoWpzJhvuqyCnN9rA6EZGro5AHzh48y4EftDDQG2C8LYE/1cd1t5ZReVO59t5FJGHN65AfPD/IoReaJrQEBihZls2G+6rIKs70qDIRkfiYlyEfHAty/LVmjr7eQWAs+s5qaoafNbeVUfFuHTkjIslh3oX8ufpzHPhBC73nRiaML12Xz5o7l5OWo+PeRSR5zJuQ7z/Tx9svnaT92MSpmdziNK6/u5KiqgJvChMRmUFJH/KjA6PUv3yCE3u6CEYv1oQ/1ceqWxay/H1L8fn1xqqIJKekDfngWJCTb5zi6M/OMjocnLBsydp8rvvIMjIKMjyqTkRkdiRdyLug49QvWzn60zMM9o5NWFa0OJO1d1RQoHbAIjJPxD3kzSwd+G/AY0AhsA/4rHPux/H+WrFc0NG2p52jO9rouzAx3LPyUlhz+2LKNpbOZAkiInPOTOzJfxO4H/gq0Ah8CnjJzN7vnPv5DHw9zhzs4MiPT9PTOfGImbQMHzXvXUjlzUvwpehC2iIy/8Q15M3sRuAR4A+cc18Njz0JHAS+DLwvnl8P4OQbp9j/w9YJY6npPla8q4TltywhJSPpZqRERKYt3gn4ADAKfGN8wDk3ZGb/Cvx3MytzzrXF8wsu3rKIIzvaGRkK4k8xqm4oZsXWpaRmpcbzy4iIJKR4h/wm4Ihzrm/S+C8JNYXZCMQ15FMyUlh5SykD54eovrWC9Lz0eD69iEhCi3fIlwGnpxgfD/Z39Asws8eBxwEqKiqu6osuf9/Sq3qciEiyi/e7kZnA8BTjQzHLJ3DOPeGcq3XO1S5YoGuliojEU7xDfhCYar4kI2a5iIjMkniHfBuhKZvJxsdap1gmIiIzJN4hvxdYbWY5k8bfFb7fF+evJyIilxDvkP82kAp8enwgfAbsrwNvOOe0Jy8iMovienSNc+4XZvYs8DdmVgYcA34NWEbozFcREZlFM3E66K8Cfx2+LwT2Ax91zr0xA19LREQuwZxzl19rlphZB3DyKh9eAnTGsRy5dtomc4+2ydwTj22yzDk35THocyrkr4WZ1Tnnar2uQ6K0TeYebZO5Z6a3iVoziogkMYW8iEgSS6aQf8LrAuQdtE3mHm2TuWdGt0nSzMmLiMg7JdOevIiITKKQFxFJYgp5EZEkltAhb2bpZvZlM2s1s0Eze9PMbvO6rvnAzLaambvIbfWkdW8ys9fNbMDM2s3s780sy6vak4GZlZnZl8zsJ2bWG37dt15k3bvNbLeZDZlZs5l93szecba7mRWY2RNm1mFm/Wb2qpltnOFvJWlMd5uY2YmL/N58aYp1r3mbJPpVrr8J3A98FWgk1B/nJTN7v3Pu596VNa98Fdg1aSzSiC78A/lj4BDwh8AS4I+BKuCuWakwOa0C/ozQz/1+4KapVjKzO4DtwKvA7wHrgb8idJbl78Ws5wNeDC//W+Ac8DvADjPb4pw7NlPfSBKZ1jYJ20XodyfWwdhP4rZNnHMJeQNuBBzwmZixjPAL/FOv60v2G7A1/Prfe5n1fgCcAnJixj4dfuytXn8fiXoDcoHi8Mf3hl/PrVOsdygcKP6YsS8AAaAmZuyhydsTWAB0AU96/f0mwu0KtskJYPs0ni8u2ySRp2seAEaBb4wPOOeGgH8Fbg53wZRZYGa5F/n3Pw+4ndAPZOzF3Z8E+gj9EMtVcM71OufOXWodM1sDrAG+5pwLxCz6Z0JTtffHjD1A6D+w78V8jQ7gGeBeM0uNV+3JajrbJFZ4uvlS05Zx2SaJHPKbgCOTwgPgl4ABG2e9ovnp34EeYNDMXjaz9THL1hOaEqyLfYBzboTQBWY2zVaR89T46zv59W8l9N/Vpknr7nLh3cUYvyS0h1o9U0XOUx8C+oF+MztmZo9PsU5ctkkih3wZocsNTjY+Vj6LtcxHI4QuEvP7wD3AfyU0hfa6ma0MrzP+39TFtpO20cy6ktdfv0+zZz/weUL/Sf0moQ6UXzOzP5+0Xly2SSK/8ZoJDE8xPhSzXGaIc24nsDNm6Hkze4HQXuPngV8hug0utp20jWbW5V7/rEnr6vdpFjjn7o793Mz+DXgd+JyZ/Ytzrju8KC7bJJH35AeB9CnGM2KWyyxyzu0DXgHGD2Md3wYX207aRjPrSl5//T55JPx+yVcJ/dF9T8yiuGyTRA75NqL/jsYaH9P1ZL3RAhSFPx7/t/Ji20nbaGZdyeuv3ydvtYTvi2LG4rJNEjnk9wKrzSxn0vi7wvf7ZrccCasCOsIfHwTGgAkXRDCzNEJvjO+dzcLmob3h+8mvfzmh8xX2Tlp3i5nZpOd4F6EjoRpnpEIZVxW+74gZ20sctkkih/y3gVRCx1wDoUOSgF8H3ggfQSAzxMzecakxM7sZ+ADwI4Dw3OIrwGOT/hg/BuQAz85CqfOWc+4QcAR43Mz8MYt+GwgC34kZ+zahN/LuGR8wsxLgQeB7zrnRma84+ZlZUfgkp9ixDOBPgF4g9iTOuGyThG41bGbPEDrp4CvAMeDXgBuADzhdOHxGmdmrwAChN187gXXA40A3cINzrjm83ubwOgcJndOwBPgj4CfOuY96UHrSMLO/DH94HfAJ4P8Cx4ELzrn/HV7nY8DzhM54fZrQdvpdQsfO/07Mc/kJvfm3ltDZlZ2Ezq5cCmxxzmlPfhout03M7FPAZwkF+AmgmFBurQR+2zn3f2KeKz7bxOuzxK7xDLMM4H8SmrsaInT86Ae9rms+3ID/AvyC0KnWo8Dp8A90xRTr3gy8QeiNojPAPwDZXn8PiX4jdDbkVLcTk9a7F9gT/h1pIXS4a8oUz1dI6A9xJ6FjuH8CbPb6+0yk2+W2CbAFeIHQeQrDhM4x2QF87CLPd83bJKH35EVE5NISeU5eREQuQyEvIpLEFPIiIklMIS8iksQU8iIiSUwhLyKSxBTyIiJJTCEvIpLEFPIiIkns/wPSRT9LTQKLGwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "position = np.argmax(timesrd_final >= (t_align))\n", + "dphase = phas5[position]-phas[position]\n", + "print(dphase)\n", + "\n", + "gwdatanew = (gwdatanew_re - 1j*gwdatanew_im)*np.exp(1j*dphase)\n", + "#gw_sxs_bbh_0305rd6=gw6_sxs_bbh_0305[position6:-1]\n", + "#timesrd=gw_sxs_bbh_0305[position:-1][:,0][:920]\n", + "phas = np.angle(gwdatanew)\n", + "phas = np.unwrap(phas)\n", + "\n", + "phas5 = np.angle(gwdatanew5)\n", + "phas5 = np.unwrap(phas5)\n", + "plt.plot(timesrd_final, phas, \"r\", alpha=0.3, lw=3, label=r'$phase$')\n", + "plt.plot(timesrd_final, phas5, \"blue\", alpha=0.3, lw=3, label=r'$phase$')" + ] + }, + { + "cell_type": "code", + "execution_count": 143, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.9903614015891478e-05\n" + ] + } + ], + "source": [ + "mismatch=1-EasyMatchT(timesrd_final,gwdatanew,gwdatanew5,0,+90)\n", + "print(mismatch)\n", + "error = np.sqrt(2*gwdatanew*gwdatanew-2*gwdatanew*gwdatanew5)\n", + "#error**2=(h1-h2)**2" + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.legend.Legend at 0x7fad573265f8>" + ] + }, + "execution_count": 144, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 864x576 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#Test the new interpolated data\n", + "plt.figure(figsize = (12, 8))\n", + "plt.plot(timesrd_final, gwdatanew.real, \"r\", alpha=0.3, lw=2, label='Lev6')\n", + "plt.plot(timesrd_final, gwdatanew5.real, \"b\", alpha=0.3, lw=2, label='Lev5')\n", + "plt.plot(timesrd_final, error.real, \"b\", alpha=0.3, lw=2, label='error')\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 145, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.legend.Legend at 0x7fad57201d30>" + ] + }, + "execution_count": 145, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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sR9LdRZEIrFrlvn/qKff8IiIiIpKTQvnxyquSr1jhEjQUXcHTY+1MKM+eQdGYmW05+8oHBmZ27O6G9nZXVt9etPNIREREZMFSKD8eWQt79rjv16yZmSrFmzqliETCHSIez1w4yFOwhWVoyN12dLhgftJJ7s/PPTfz4UBEREREMiiUH4/6+lxibm111WqvQTxgKM9XJffknYElkXDPG43OPFdPj/tKJOD558O9DhEREVlwduzYgTGGG2+8sdanMqcUyo9H+/a5W6+n26uUB2xfKRbK81bKvSp5W9Yirief7G63b1e1XERERCSHqi0eJDWSSsGBA+57bwVPf/uKmTX75CxBQ/nkZNYdXihvb88cBepVy48ccdXyjRuLvw4RERFZkNauXcvY2BjxgDPGHS9UKT/eHD7sqtHt7TMVa6+knT2VSh7FQrm3MOisUO5Nu5hdKQdVy0VEROaZEe//6zmM5l3au/xjG2NoamoiGnKNlflOofx447WueFVyyD+/YR4lV8oL9a739MDixS6QayYWERGRObN7924uu+wylixZQmNjI6eddhrf/OY3M/a58cYbMcZwxx13cOWVV7J48WJOOeUUAM4//3y2bt3K3XffzbnnnktzczOf/vSnATh06BDvfve76e3tpampiTPOOINbbrkl49i/+MUvMMbwne98h4997GOsWLGC9vb2vOebq6f88ssvp7Ozk+eff57Xvva1tLa2snbt2ul9fvvb3/KSl7yE5uZmNm7cyE9/+tOMY+7cuZOrrrqKk08+mebmZnp6erj44ovZ4a187vPwww9z3nnn0dzczKpVq/jEJz7B1772NYwxOfevFLWvHE9yta745zf0StxFlFwpz7cMqOfkk10lf/t2OOGEwAsZiYiISGn279/P2WefTUNDAx/4wAfo7u7m+9//Pm9729uYmJjg8ssvz9j/yiuvZPny5Vx33XUkfL/Z7uvr4/Wvfz1vf/vbueyyy1izZg1jY2Ocf/75bN++nauvvprVq1fzzW9+k4svvpibbrqJd7zjHRnHvvbaa2lpaeEjH/kIQ17LawiJRILXvva1XHDBBbzhDW/gq1/9Ku9+97tpaGjgQx/6EO95z3t461vfyvXXX8/FF1/Mnj17aEv/9v6ee+7hN7/5DZdccgmrVq1ix44dfOELX+D888/n8ccfpyVdUNy7dy+/8zu/QyQS4WMf+xitra18+ctfpjFfKKoghfLjibeapr91xR/Ic81vmIMXtvNleC9Lhw7l3d0zveU7d8KGDYHOR0RERErz8Y9/nEgkwgMPPEBnZycA73vf+3jta1/Ln/3Zn3HZZZcR8eWD3t5efvKTn2RsA9i3bx9f+cpXePe73z297bOf/SxPPPEE3/rWt3jrW98KuFB/1lln8aEPfYi3vvWtGX3hiUSC22+/naaAv7nPNjo6yh/8wR/wp3/6pwC88Y1vZM2aNbzjHe/gpz/9KRdccAEAmzdv5tWvfjX/9m//xqWXXgrAhRdeyEUXXZRxvDe84Q2cc845fPe7353e71Of+hRHjx7loYce4tRTTwXgXe96Fyd5UzxXkUL58eTgQXe7bNnMtpCtK1A8lOeslKdSrnfdmMLPddJJLpRv3w7r17vpE0VEROrVf/5nrc9gxhveEGp3ay3f+973eNvb3sbU1BSHDx+evu81r3kNP/7xj3n66afZtGnT9PYrrrhiViAHaGlpmQ6unh/+8IesXLmSt7zlLdPbGhsbed/73sd73/te7rvvPs4+++zp+y6//PKSA7nnPe95z/T3K1asYPXq1VhrpwM5wFlnnQXA876pmJt9BcNEIsHg4CAbNmygs7OT+++/f/q1/fjHP+ZlL3vZdCAH6O7u5u1vfzs33HBDWedejHrKjydeKF+6dGZbyEGeUGIo96rkTU2FZ3jp7YVFi9yHhd27A5+TiIiIhNPX18fAwACf//zn6e3tzfi65pprpvfxW79+fc5jrVq1atZsKDt37mTjxo2YrP/veyF/586dgY4dVFtbG11dXRnbFi1axOrVq2dtAzh69Oj0trGxMf7iL/6C1atX09jYyOLFi+nt7WVgYIBjx45lvKYNOX6Tn2tbpalSfrwYHnZTHzY0QPrXU0D+BnFr8x7KayHL1/Idi7lOmGTSfUWj5G9dyfU8J50E997rVvlcuzbQNI0iIiI1EbI6XU9S6emJL7/8ct7+9rfn3McbzOlpztOCmm97GOUeI99sLPm2W18Gufrqq/na177GNddcwznnnMOiRYswxnDJJZdMX6daUyg/XnhV8iVLMkNuyEq5tTOhvNC40IYGd+jJyXQO954nyF+4ZcvcaqMjI7B378wiRyIiIlIxvb29tLe3Y63lla98ZcWPv3btWh5//HGstRnV8qeeemr6/npxyy238M53vpPrr79+etv4+DgDAwMZ+61du5Znn3121uNzbas0ta8cLw4dcrdLlmRu98JywFHDU1MumMfjhQvYs1pYvG+CPI8xM4M8n322YNVeREREShONRnnTm97Et7/97emg7JfduhLW6173Ovbs2ZMxBeLk5CRf+MIXWLp0KWeeeWZZx6+kaDSaUTkHuOGGG0gmkxnbXv3qV3P77bfzyCOPTG/r7+/nG9/4RtXPUZXy48HUlBs8aczsUB5yoGexfnLPrFAectpFVq2Cp55yq4AePJg5OFVEREQq4pOf/CS33XYb27Zt44orrmDTpk0cPnyYe+65h/vvv7+sebevuOIKvvjFL3LppZdyzz33TE+J+OCDD3LTTTfV1Yqcr3/967nppptYtGgRW7Zs4c477+TWW2+lp6cnY78Pf/jD/Ou//isXXHABV199NS0tLXz5y19mzZo19Pf3z+qfrySF8uNBX5+rNnd3z24Ez66UF3kzeSG72N+jvKE84PMQicCJJ8Jjj7lquUK5iIhIxS1fvpy7776b6667jptvvpmDBw+yePFiTjvtND7xiU+Udezm5mZuu+02PvrRj/LVr36VoaEhtmzZws0338zFF19coVdQGZ/97GeJRqN84xvfYHx8nJe+9KXceuutvPrVr87Yb/Xq1dx22228//3v56//+q/p7e3lj/7oj2htbeX9739/2bPHFGKyS/kL0bZt2+y9995b69Mo3SOPwI4dbnGejRsz77v1VjcI84IL3EqbP/+56+V+xStcX3eWgwfh7rtdwT09o1DBpzzlFDezIb/9rWuhefGL3ewv99/v+sXPOANWrsx9kGTSnd/kJLz0pe5DhYiISA088cQTbN68udanIXXqmmuu4Ytf/CLDw8N5B5ZC8feRMeY+a+22XPepp/x44M07unjx7PuKLc+Zpez2lTArXkWjbvYVcDOxiIiIiNTYmDejXNqRI0e46aabOPfccwsG8nKpfWW+Gx930yHGYplTIYLrNU+lXPgN+CYKMvOK//6yQjm4Mvtzz8GBA66Cn6N6LyIiIjJXXvziF/PKV76SzZs3c+DAAb7yla8wODjIn//5n1f1eRXK5zuvSt7d7fq0/YKWvXM8JFRPubWlh/LGRjfoc9cut8qnbwUtERERkbn2ute9ju9973t88YtfxBjDmWeeyVe/+lVe/vKXV/V5Fcrnu0KtK2WE8mIP8UJ7IpH+j7UzqwqFlFp3Agfu2oU5tJtlG0/GNAY/XxEREZFK+tSnPsWnPvWpOX9e9ZTPd0H6yasYyqemKL1KnvbEnnaeG1rC7h1Jdv1qR0nHEBEREZnPFMrns9FRN7NKPA4dHbPvD7OgT1rQnvKMSnkJz+OZmoKdO2F0+YkAHL53BzZZH8vdioiIiMwVhfL5zF8lzzUveBV7ymPpxqdEgrIq5f39bmbEljWLiXV3kByd4Nhje0IfR0RERGQ+Uyifz/r73W2++b1LCOUlVcrLDOXgPlc0n+Kq5SMPP+d61EVEREQWCIXyeSzZ18++ffDMkW7X252tjPaVWJEhwNGoG9OZSkFytEAoLxKu/Z8r2jauIBlvYvTQsFulVERERGSBUCifryYm2PXECLv3RXly/yIefjj3PkDusneOsGwt0+G+WCgH32DPsUTmhoCshaNH3fddXdDVE2F02QkMD6PFhERERGRBUSifp8b2HaXvMCTausAY9u51a+9kCNm+4gXyeDx3i3o2L4Mnx8K3yYAbp5pKQVOTe2hrK0ytWMNkKkZi/2E4dizU8URERETmK4XyeerIM/1gYdH6blatctv27cvaKWQoD9q64im3Uu59iGhrc7fGQMuiOKO9axgbwy0mJCIiIrIAKJTPU8eed83YPSd1s2yZ2+ZNxjKtxFAeNFt74T05nmN0aIBS+/Cwu/VCuff92NL1jE8a2LsXxseDnYyIiIiU7MYbb8QYw44dO6a3rVu3jssvv7xm57TQKJTPQ8nJJKP7XWvH4g2d05OvHD3qaxVPpVzKNiZwyg4byme1r4SslHuhvLV1ZltbGyQbWxhuW+5ejO8fBxEREZHjlUL5PDS0ewCbTBHv6aChNU5jowu2ySQMDqZ38idsf9W6QAXb31MexHQoHy+tfSVfpRzgaNcJ7psdO9wLExERETmOKZTPQ0O73JQlzStn5ifv6nK33mwm5cxRHiqUW1tyKB8ddbf+Srn3/bFIl3tRiQTs3h3quCIiIlL/kskkE95McVlGZs1eEY61lrGxsbKOMdcUyuehkX0DALSu7Jze1tHhboeG0huCrgLkU0ooN1MJV2EPOmVLmrUz7eJNTTPbW1rc7dgYcKJbTIjt27WYkIiISAl27tzJVVddxcknn0xzczM9PT1cfPHFGb3j5UqlUvz93/89mzdvprGxkeXLl3P11Vcz7P1KPM0YwzXXXMPXv/51Nm3aRGNjI3feeed0P/sdd9zBlVdeyeLFiznllFOmH/fP//zP08detWoVf/Inf8KoV9lLW7duHW984xv50Y9+xBlnnEFTUxPf/va3K/Ya50LAeTaknkwcGACgfXXn9Lb2dnc7/f6fDN/nXcrsK5FkwnWXhKyST0y4nN3Q4BYi8sRi7lCJBEx2L6OhpcVN03LwINMjWkVERCSQe+65h9/85jdccsklrFq1ih07dvCFL3yB888/n8cff5wWrxpWhj/4gz/g//2//8e73/1urrnmGp555hn++Z//mccff5xbb70V4yva/eQnP+Hb3/42f/RHf0RnZyfLly+f/oBw5ZVXsnz5cq677joS6VBy7bXXct111/HqV7+aP/qjP+LRRx/lM5/5DI888gj//d//nXHsxx9/nHe84x28733v44orrmDTpk1lv7a5pFA+z6TGJpg4NoaNxmhfPtOM7fViz6qUhwjLpfSUm6kioTxPhdv7jVJz8+z7mpvd6Y+NGxrWr4fHHnPVcoVyERGZa//5n7U+gxlveEPoh1x44YVcdNFFWYd5A+eccw7f/e53ufTSS8s6pdtvv50bb7yRW265hTe/+c3T21/0ohdxySWX8N///d+85jWvmd7+9NNP8/jjj7Nx48bpbXfeeScAvb29/OQnPyEScY0cfX19/O3f/i2ve93r+K//+q/pAL5u3To+9rGP8V//9V+8wXdNnnnmGX72s5/xile8oqzXVCtqX5lnxvYPgIVo9yKisZlPh83NruI8MZHO4yWE8lLaVyJTky7Mh1w4qFgoh3TP+Zo1rnx+5AgMDIR6DhERkYWu2fc/2kQiwZEjR9iwYQOdnZ3cf//9ZR//lltuobu7m/POO4/Dhw9Pf7385S8nGo3yi1/8ImP/V7ziFRmB3O+KK66YDuQAt956K5OTk1xzzTUZFfH/+T//J/F4nB/84AcZjz/ppJPmbSAHVcrnnZG9AwA0LOnM2G6MGyQ5OOhaWLqKDfTMUcEuZZ7yUttXvH7yQqF8bCz9JGvXwnPPuWr5GWeEeh4REZGylFCdridjY2P87d/+LV/72tfYu3cv1vf//2MVWDn7mWeeob+/n97e3pz39/X1Zfx5/fr1eY+Vfd/OnTsBOPnkkzO2t7W1sXLlyun7gxx7PlAon2fGDw4A0LSsc9Z9XigfHYWuMirlYXrKTaJ6lfLpQdPr17tAvm8fbN6c+0EiIiIyy9VXX83XvvY1rrnmGs455xwWLVqEMYZLLrmEVCpV9vFTqRTLly/n61//es77V6xYkfHn5gL/Dy90XxDlPr7WFMrnmcl0KG9e3jnrvoyZS+aqfSWZIJUK9zyQe+YVz6xQ3twMK1a4FT6ffx62bAn1XCIiIgvVLbfcwjvf+U6uv/766W3j4+MMVKgl9MQTT+S2227jZS97GY2NjRU5pmft2rUAPPXUU6xZs2Z6+8jICHv37uXVr351RZ+v1tRTPp+MjjI5PEkq1kBzz+zR0hm92HMwJWIsBsZrX8l+niLTIxbqrvGCesbUpSekFxPatWtmRKqIiIgUFI1GM1pWAG644QaSFVqY76KLLmJycpJPfvKTs+6bmJhgcHpVw/Be+cpX0tDQwD/90z9lvIbPf/7zJBIJLrzwwpKPXY9UKZ9PBgbcQM7WTnLNYORtc6E8/JSIYWdfiUYhOjVJKgWpaDzUJzwvcOf6UO1tywjlnZ3Q3Q39/W4xoXneNyYiIjIXXv/613PTTTexaNEitmzZwp133smtt95KT09PRY7/O7/zO7znPe/h2muv5b777uOCCy4gEonw9NNPc/PNN/ONb3yDV77ylSUdu7e3l4997GNcd911XHjhhVx44YU8+uijfOlLX+JVr3oVr3/96yvyGuqFQvk8kjp6jEQCploX5WyrzmhfsXnK3nkq2NaG7ykHiOMelIxUOZSDW0yov9/1l69bF2qxIhERkYXos5/9LNFolG984xuMj4/z0pe+lFtvvbWirR9f+tKXOPPMM/nSl77ERz/6URobG1m/fj1/+Id/yNatW8s69rXXXktPTw+f+9zn+OAHP0hvby8f+MAH+Ku/+quMGVmOBwrl88j4IfcroFjPopx5NKN9JRauF8Wrksdi4bJuzCawwJSJE7Qmb23h9pV4HCIRd07JpG9xoaVL3WjWkRE4cACWLw9+oiIiIgtQZ2cnX/3qV2dtz17R8/LLL+fyyy8vuE8+xhje+9738t73vrfgftltNIWe2+/qq6/m6quvLnjsSq5QWivqKZ9HJvvc1EUNvYty3u+thplKWhKj4UK511oWpkoOEMOl+UTgSJ4ZyPN9AMhZLTdmpm1l+/ZwJyoiIiJSxxTK54uJCSYGJ7DRGE1d+af8aWoCk5wiMWnTE4kH+xGX0roCM6F8KsQvXQq1rni8wZ7eLC3TVq92HzT6++Ho0RBnKiIiIlK/FMrni8FBN8izuYOW1vz9JU1NbprCyUlKGuQZOpSne9fzhvIcv6oKEsrz9pV7iwmBquUiIiJy3FAony+OHWNiwg3yzDXziqepCcxUwlW+qzjziqeUSrnXvlJSKAfXS757NzzwQLqBXkRERGR+UyifL9KV8qmWjqKhPDI16YJvoTnKsyrYJVXKk0liUYuNRJlKBX8rlVUpB3jsMZfsd+6Eu+4Kfr4iIiIidUqhfL445qZDTLTkng7R09joKuVz0r6SSBCJgo3GQq3n4wXtQp8Z8vaUDwy4fvJly9yfn3lGiwmJiIjIvKdQPh8kk6QGh5mcMiRb2osOkIwkEySmCBXKSxroOTVFNAKpSGmhvKRK+YED7ra1Fdrb3bQxu3YFf3IREZE88k3ZJxJEue8fhfL5YHCQRAKSTW00NkcKziM+3VNerH0lS0mV8qkpolGwsfjsUF7gJCsSynt7Z6rl27fnHFAqIiISVDweZ2xsrNanIfPY2NgY8bCD83wUyueDdChPtCyabuvIp7HR11M+B+0r0XT7ildpD6LQwkGenKF8agqGhtw0j93d0NnpVkwaG4P9+0OcuIiISKYlS5awd+9eRkdHVTGXUKy1jI6OsnfvXpYsWVLycbSi53wwNMTkJEw1t9MRJJQnEy5k5wrleSrY5VTKUyF7yoOEcu8+b18ABt2KprS3u2BujJu3fGzMVctXrAhx8iIiIjM6OjoA2LdvH4kwlSYR3G9ali5dOv0+KoVC+XzgC+XFKuXRqJs73FqYMvHAP+CSpkScHuiZo32l8MOAwqHcW/comXRf0ShukCfAIt+KpsuWwZ49biGh/n5XQRcRESlBR0dHWaFKpBxqX5kP0qE82VI8lAM0GJd6J1JVbl9JD/QMM/uKtcEHlXqhfbpgceyYu/WH8mgU1q1z32sxIREREZmnFMrr3eQkTEwwmYySbGgOFcoTVH/2lVgMUiEq5d7zxOMFx4ICOVpYhofdrb+KYa0L5ZGIGwSqxYRERERkHlIor3dDQwCMxdrBmPqqlCcSREJWyoO0rni8VprpUD4y4m5bWzN3bGqClStdQFe1XEREROYhhfJ65w/lUHDhIM+ctq/kmxIxDy9gB+ldz6iUJxLuKxbLPZfiiSe625078ywDKiIiIlK/FMrrXTqUj0ZdKA9SKY8bl5AnU8ETdlmzr4RYPMjfvlJMRij3quQtLbl3bm93gz5TKVXLRUREZN5RKK93Q0NMTcFEQzuxWIDQnEwSj1lsJMpEIviPt+TZVyJg4jFSKZeHZ8ma6zVM+0rOUO61ruRqSD/pJHe7YwehJk4XERERqTGF8no3NMRkIth0iAAkEsRirs87Y47vArxAHYm4r8DSST7aGPP/saCS21fy9ZP7dXa6lT6npuD554s/gYiIiEidUCivZxMTMDlJIhUj1Rhs5hUSCeJxNyNK0NZqL0xHoyHPL12NjjTGM44T4CHhQ7m39HGxpvoNG9zt9u3BTkhERESkDiiU17N0P/l4PHg/uTdNoY3FC1fKfW0lJbWu+B4YplJecvvK+Lj7Q7GLsHgxdHW5J9q1q/iTiIiIiNQBhfJ6lp6XO1Qo9yrlkeDtKyUN8vQ9MEylvOT2FS+UZ1fKs3rWgZne8ueey9PoLiIiIlJfFMrrWTqUT8TbgGDV5eme8ljw9pWSFg6ydjqFxxqjGccB8q4MVHL7StBKOcDSpW6BofFx2L27+P4iIiIiNaZQXs+8SnnMhfJc03PPkp6m0JsRJUj1utTpEL0HxeImY1MhXqU8VPvKeMo90JiAn0yYqZY/+2zuarqIiIhIHVEor2fpGUfGo27GkUChPF2KjjXH/X8sqOxQHsvcFOD0AlXKY7F0wX183HWhNDXNVODzVOKnLV/uZmoZHYU9e4o/mYiIiEgNKZTXq1TKBUpjGDNuwZxARWJv8GVTnlCeI8yWFMp96bqUUB604N3QAJHJcXfsQE31acbMVMufeUbVchEREalrCuX1yreC5eSU+zGFqZR7M6IEGexZ0uwrJVbKwwz09PaLTo4xlSRcKAdYtcpVy0dGVC0XERGRuqZQXq/Sody2tE4P2Aw60BMKVMrzP6S09pUQlfKpKVewjkaDL1IUj7tKeTJspRxctfzkk933Tz+tmVhERESkbimU16v0IM+ppjasTYfTID+tdDKON7ukXLWecl+S9x6XTObYL8d86GGeJx6HSGK8tEo5wIoV0Nam3nIRERGpawrl9SpdKZ+Mu0GeQXuwswd6hmlfCRXKvQQei02vBFqsUh5mkKfHta+kK+XFVvPMxRieZiMPPAA7fqJquYiIiNQnhfJ6la6UTzaEmA4RZuYOr8HsKzkr5WU+j6uUT7hKeeCLMOPAAXhqaAVjsXYO7Rxj/2+1yqeIiIjUH4XyeuVNhxgLsXAQTKdwr30lSKXcV/QOzkvY0WjVK+WRxISrlOcK5UVmVdm1CzCG1Emut/zIXc+oWi4iIiJ1R6G8HiUSMDEB0SgTuCAauEgcdJ7yHL3eXrgOpFilvEJTLzY0QGRq0lXKA38ycSYm4NAhdypnvG4ZqbYORvvHGX9qZ6jjiIiIiFSbQnk98qZDbG1lMuHCbaBQbu3cDfT0ldeDzr5SSqU8FrVEpiZdpTxkKD9yxF2SxYuhpdXQvNVVywfueaZ4r42IiIjIHFIor0fpfnLa2sJNh+hL1w2NLsyHaV8ptVIetH2lpEo57gUkTDyz+l5sRU+gv9/ddne7267Ny0i0djJ8ZAK2bw9+EiIiIiJVplBej3yVci+UB6qU+1KvV42u+kDPaDTwQM+SesqtF8rDD/KcFcq7YHj1ZveZ59lng31iEREREZkDCuX1aHTU3ba0TOfGMAsHEY/nD+U5KswlVcpLmBKxnEr5JOFaV1IpGBx0L7ez021rawPbs5ihpl4mRqbgmWdCHVNERESkWqoayo0xjcaYTxlj9hljxowxdxljLgj42JXGmJuNMQPGmEFjzL8bY9Zn7bPaGHOtMeZuY8xRY8xhY8xtQZ+jbvlCeahKeVYoN8YF4WKTjZQ7JWI06p4rlSo8GUpJPeVJdwESJlwoHx5259LSMvO6vIA+vHqzu8Q7dsDYWKjjioiIiFRDtSvlNwIfBP4V+ACQAn5kjDmn0IOMMW3AbcDLgL8G/hI4A/iFMabLt+vvAR8GngU+DvwV0AHcaoy5tKKvZC55oby1dbpSHrZ9BQjUwuIVvCORQG3as58rXSYPUi337iulfWUyZPvK0JC7bW/P3N7RAVOtixjqWOk+RTz1VKjjioiIiFRDmNpoKMaYFwOXAB+01v5jetvXgUeBTwEvL/Dwq4ANwJnW2gfSj/1R+rEfBP4ivd9twBpr7WHf8/4L8CAuoN9UuVc0R5JJGB8HY7CNTUxOurAcKMhmlaLjcdc2nUjkD/UlVclzPDAWc5uSyaxz9ZXOvdML81yx1CQYmIo0kEq5Dw8Z8pTm84Vy789HejexZmA/7N4NJ544e0cRERGROVTNSvlFQAL4srfBWjsOfAU41xizvMhj7/ICefqxTwI/A97i2/aYP5Cnt00APwTWGmNKWJe9xrx2ipaW6ekQ4/GAVewcody/OZeS+slhVigPUikvpX2FiQliUUjFGgINWvUUC+XHEi2wdq37wxNPhDghERERkcqrZig/HXjSWjuctf1uwABbcz3IGBMBTgPuzXH33cBGY0xLkedeBgwD42FOuC6U2k8OJbWvlFwpz1oGNMgMLCU91+Qk0Sik4o2hQrk3gU1bW+Z2L5QPD0PqxJPcyRw86CY1FxEREamRaoby5cD+HNu9bSvyPK4baCzwWJM+dk7GmA3A7wO3WFtkDfZ6VE4oL6NSHioop1Luy5jpfpIgCwiVVCmfnCQWy1EpL/KrA99lzBCNQnOz63oZSzW61hWAxx4rPEpVREREpIqqGcqbgYkc28d99+d7HKU8Nl1B/w4wAvxZoZMzxlxhjLnXGHNvX19foV3nllfiDTsdIsxKvQWDcjqAZo3XDCZHkp/VvpIjNJdUKZ+YCF0pn5yc6W3P9QGgtdXdjo7iQnlTExw7Bnv2hDgxERERkcqpZigfw1W8szX57s/3OMI+1hgTBb4FbAbebK3NVWmfZq39krV2m7V2W29vb6Fd59Yct6+UVCnPka6Lta8kk+5zQDSaY7BmIfkq5QV4l7A5z8c+r3o+MoI7oS1b3IYnnig+2bqIiIhIFVQzlO8nd5uJt21fnsf146rk+R5ryd3a8n+AC4HLrLW/DHeqdSTHwkHltq8EmaYwVKU8x4OKDfQsZeYV74HRKKSi8dChPLt1xZMRygFWrHATmE9MuJU+RUREROZYNUP5g8Cm9Jzjfmelbx/K9SBrbQp4BNiW4+6zgGestaP+jcaYvwPeBVxjrb25nJOuuRyV8sDtKzmmKYQqDPQsoVJeUj95euWjaEMUotHcryNHH7hvApucMtpXwLXanHKK+/6557SgkIiIiMy5aobyW4A48B5vgzGmEReef22t3ZfetsYYsynHY882xpzue+zJwCtwPeP4tv8p8CHgb6y1N1TjhcyZRMIF0VgMGhoqVimv+JSIOXpeig30LCn8p0882hT3/7GoYu0rs0I5QFcXrEwvKKQpEkVERGSOVW3xIGvtb40x3wE+nZ6T/DngncBa4HLfrl8HzsPNquL5PPCHwA+NMdcDU8Af49pWPuPtZIx5E/Bp4BngCWPMO7JO49+stSPMF16FNp0mS66UFxromTUAs1KVci/U56uUl7Kap5fCY82lhfLA7SuezZth/37YuxfWrYPu7hAnKyIiIlK6qoXytMtwK2teBnQBDwOvs9b+utCDrLVDxpjzcQH8z3EV/dtw7Sn+CaVfmL49idyrd67HzcQyP2SVeEuulM/VQE9feT1vpbycWV6yKuXe9SimWPuKNytLIuE++Exf3+ZmNxvLM8/Ao4/Cy14WcNUmERERkfJUNZSnV/D80/RXvn3Oz7N9D3BxkeNfC1xb8gnWm/H0jI+lVMpTKZewjZnVU17xgZ5BpkTM8zxhFw4CiDY3wEThir9fsfYVcC0sAwOuWp7xoWflSvjJT1yy7+qCU08NccIiIiIipalmT7mE5WtfSSZdCI1EArZ85Ei9VVvRs4SBnuX0lIdpX0kk3DnEYoWvmxfYM8Z0WgsPPQSLFrklP3/0o+DleREREZEyKJTXEy8hNjWVvXAQBKuUV2qe8qpUyrPaV4JMIR50bncvlHu/nACgvx+OHnW95B0d7uehQZ8iIiIyBxTK64mvUl7uwkH+b+dinvJqzr4Sa2koeGw/L2Q3NRXez7s/o1K+e7e7XbvWDfQ0BnbtcmFdREREpIoUyuuJr6e8EpXySMTlZmvzD8AsaUrEIO0rlZjlxespLzQlYtY85SVXyq2FAwfc96tXu9S+PL1+1SOP5JwPXURERKRSFMrrhbUZZd6SK+VZjdTFVvUsKSzP1UBPX/tKJOLGsqZShR9ScqV8cNA9X0vLzETmK1a49D44CDt2hDhxERERkXAUyuvFxIRLnA0NEI2WPR2ip9iqnpWeErEaAz1paAi0OimUUSk/kp5ps6dnpsofjc6s9Pnkk1kN6CIiIiKVo1BeL8qZDhHyrmNfbAaWsnrKQ1TKSwr/3ieTeHx2z3qeKRGDVsobG90hxsfT1Xd/KPdbtgyWLnVP/OijIU5eREREJDiF8nqRZzXPcttXqjIAc46nRCQeDzS9IwS/bpHIzD4TE8CxY+4PnZ2zdz71VHfi+/e7LxEREZEKUyivF77pEIHSB3pmpd5ZYdZXYbZ2pke73MWDjHFB19rcwbzcUB5kJhmYqZQH+TAzPVf5YMJd/0gE2tpy77h5s/v+kUeCTZguIiIiEoJCeb0ot1Kep32lUJgtKSgXeGChanno57K2rEp5sfYV/z4TfYPum/b2zLYY/4wra9e6+csnJuDxx4sfXERERCQEhfJ6kaenvJx5yqFwT3lJ0yH6nyvrgYX6ykOHcn87jjGBF0JKJFzBO8hvGLxK+eThdChftCj/zsbAC1/oDr5rFxw+XPwJRERERAJSKK8XWSMUQ7evlNBTXtLgS/8Ds0J5kKp84A8AvkGevpuClfKwH2S8/RJHh9037e3uNs8gUtraYONG9/3DD+dvoBcREREJSaG8XvhC+dSU6/WOxUKE2KA95T4lzbySSrm2jkjEffnkbF+xlmQy70PyyyqtB6mUhw3lXvvK1OCI+8abn7yQE0+Ejg4YGYEnngj2RCIiIiJFKJTXC1+iDD0dIsxdT3mBnpd87SvlDvL03cz+cOHr+y61Up4ME8ojEdi61VXTn38e+vqCPZmIiIhIAQrl9WBqyoXdaBRisfD95N4xoKSe8nIXDvLkG+hZ1rSLWaG8UKU8bMtPYyOQSpEcSg+ybWnJ3ME/0NNv0SI4+WT3/YMPajYWERERKZtCeT3ImjIkdD85lNRTXlL7SgmV8pLCf1Y7TpAVPcNet6YmiE6OkZi0btRn4N4aYMMG6OpybUdaVEhERETKpFBeD7Im1w5dKU+lXPI1ZlZYDtJTXqn2lXyV8jzt7oXlaV+pZKU8HofYxAjJJKSafa0r+QZ6+hkDp58O0SipXXu0qJCIiIiURaG8HmSFci9cljsdon9TodlXyl04KOdz+YJtJVYNnVUpzxGcw4ZyY6A55frJJ+MB+smzJJtaeSixhXvvhce/9TCTg+OhjyEiIiICCuX1Iat9JfRAzzyDPP2bZoVya8sLyzUa6BmkUh6mF7/FulA+EQsfyp95BnaZtUx09DLcP8n2f3swfx+6iIiISAEK5fUgq19lrivllZ59Jbt9pawBpSF6ykuZtaYpWSCUFwjYk5OwfTtgDCf8/lZsvIHBZ/sYevC54E8uIiIikqZQXg/y9JSXu3AQuLGLxri281Qq98Mq3b5SkdlX5qCnHKAx5WZeGaM5xMnBvn3udfb2wsoTm+g473QAjvz6STh6NNSxRERERBTK60Ge9pXAlfIiIynzVcsrPSVisfaVUOE/K8lHo+7DRTKZ9eHCV80uKZTjPhCNG18oDzDQc98+d7tqlbtdefoSRpadQP8RS+qe+zRNooiIiISiUF4P8rSvhK6Uhwzl1ZoSsRqVcv/jc1XLUym33ZicvzDIbWqKBhJYE2HCBk/yiQQcOeJ+C7F0qdvW0QFs2sxYwyKG+8bg4YcDH09EREREobwe+NpXrC0hlBcY6AkVnhUlbPtKuQNKfQ8qNL1jSXO7j4/T0ADJhubpH0EQ/f3utrMz85IvXR7h2IYzOTYSc6X0nTtDnIyIiIgsZArltWbtTMpsaCCRcJvi8RBr2RToKYfi7SvVXjyoyOnlluNB+T5cQGkzrzA2RjwOqYam6V9WBHHkiLvt6cncvnixmyZx3+LT3IZHH4WBgRAnJCIiIguVQnmtTU1lpPDQ/eRQck95taZEzNe+Eir853hNhSrlpcy8wvg48XjplfLsUN7T4z5IHYqvZGrlWtdTc++9M58YRERERPJQKK+1rL6LktowyqyUV3tFz9Dh379Cqe9BhXrKS7puXqW8sZnJyRwzIOaYEjGVgmPH3PednZn3RaPp3nJgYNUpboexMbj/fs1fLiIiIgUplNdaVom3FpXySk2JWLHFg/I8oOI95WNjRCIQaWkilQo2YcrwsAvmLS25PwN5QX1gMALbtrkT6uuDp54KcWIiIiKy0CiU15qvnxxKDOUlzr5SrSkRk0nKG1Cap/Kf83WkK9BZlzGYdM9KpNVNhzjdZVJgSsTBQXe7aFHu+6dD+QDQ3AxnnumO98wzcOBAiJMTERGRhUShvNYq0b4SZvYVj29WlEoN9MzXvhI6/Oep/AeplIcaTJoO5fH2zPnhC/FaVwKFcnCjPzdtct8/8MBMqhcRERHxUSivtawUPleV8lTKFZkjkRCzvEDBhO1fPdTfQh06/IeplKcV+VyS25hbzTPWnlUpL2BoyN22t+e+v63NnefYmC/kb9gAK1e6E7/77mDpX0RERBYUhfJayyrxljSLSAmV8pKq5FB0HsVcfeWhp14soVIeun3FayI3hobWzGs/LcfgzOFhd9vWlvuwxsxU0b2qOgBbt0JXFxw9CrffnrUsqYiIiCx0CuW1ljXBdknzbZdQKS+pn9x/kCKh3MucJVXkg1TKs/q+Q1fKfb+SaGg0GZvySSZdBdwYN9AzH28GFq+qDrgX39oKTz4Jv/wl/Md/BDxRERERWQgUymut3PYVawOHcn+vd0kLBwV4YPZzVWqOcqhwT7nvQnvXuthAz5ERd9vSUvgDhtfakhHK9+xxXxs3uovx8MOakUVERESmKZTXWrmh3B/I84RJL9smEkzvU9LCQVC0xD6rUp604Z9nLnrKc4TyYpXyYq0rHi+UT4/ptHYmgJ9xBpxwgvv+6adh586AJywiIiLHM4XyWvOF8mTSBc5IJES4DJCuC7WvhKpgWzvzwDyl4uznqmSlPEgoD9xT7m9fST+m2EDPsKF8eDjdln7gAIyOuvaVNWtcb/n69W6nhx+G/fsDnrSIiIgcrxTKa80XyqsxHSIUHuhZ8mqeearyuXrKQz9PnteUr31laso9TzQaom+9ipXyeByamtzlGh0F9u1zd6xdO3PdliyZmSrx/vvh8OGAJy4iIiLHI4XyWrI2I4BWYzpE/13+nvKSwnKA8nrGAkKUWCnP85ryVcpLmg4xaKXcNwOL11NeLJSDr698IAkHD7o/rFiRedyTToJ169wP4557fJObi4iIyEKjUF5LiYQLZ/E4GFNaKC+zUl6phYM806E85SrClayU+1+Hf7bCSobyHLMgThsddbeFZl7xeKF8dPcRd906O90Kn9lOOcWF9akpuOuurHkURUREZKFQKK+lrEboalXK/XOHe6GzpCkRAzyoIrOv5HlNxuSo+lsbvp8cMi62MRTtK5+acvdFIsF+Pl41fWJvui1l8eKZF+FnDJx+Oixb5t4Pd96pVT9FREQWIIXyWsoa0FhWKC9QJjamwm0lIdpXymqTyfGgXFX/0NMhwqyLPauvPCs8pxf/pLk5bzt9htbW9HkeyArluUQicOaZsHSpgrmIiMgCpVBeS1mBuqSFg/LMVJItu8KcnCphqsIa95T7N/lDebntK1C8Uh6mdQXSlfJkksSRQZfiu7szd8juk4lEYNs2NwB0ctIFc7WyiIiILBgK5bU0R5Vy31PMhPJSpkQM0b5S1uwrBZL8dChPzpSrQ7evpFLuQcZMX7e8M7Ckw3PYUN7UBE0Tx5hKWKaa24Nd6EgEXvSimWD+m9/AkSPBnlBERETmNYXyWsqqCHuBsKQpEcNWykvpKS+hfaWk8F+gUu599vDPJFPOap5eL0qxSrm/fSWoDusq3aMNnTMbi/W+eMF8xQpGh6Y4/IO7GN91KPiTioiIyLykUF5LWX0X1Zp9BSoUyktoXwkdylMp9+VvhPfJWJ2UzO9LCuVkfptvrvKwlXKA9uQAACOxRbPvLDTNSyTCju4zuOfAGrY/k+LRr97NkYf3Bn9iERERmXcUymspT6W80rOv+O8uq9c7zOwrqcAPCfUcueZcr0Qon1UpLzDQM6i2qQEAhmOdwR8E9PfDI48aBte/kMhJJ5JKWp7/7v2MPfJsqOOIiIjI/KFQXku+NGktpa3oGbanPD1/eNXbV9K7hn6eIs/hvczpgZ6lTIk4F5XyqSmak8NYE2HIdMxsDzB1y6OPutuTToJtl22h+cwtpFKw+6dPwEMPzTTqi4iIyHFDobyWfFVufyAPMuXetLnsKQ/RvuLlxtAV+SKV/1ztK2X1lKcV6ilPJsPNUQ7A0BDNzZBsbmN4NPhfsyNH3KQrjY0ulAOc9JoTGTp5G0ePRRl9ahf89reZF0BERETmPYXyWvJVuUtqXfEfI2Ao93av1oqe2eE/lQw59WLAUF7p9pVClfLxcXfb1BTiA9PwMI2NMNXczshIjvvz9JTv2OFu166ducxNTbDkhcvp3/QS9h9phMOH4Y47YHg44MmIiIhIvVMoryVflbvkUF7mQM9K95SXPdCzyHPMal+hhCkRc/QJ5a2UW5sRygMbGnLn2tbG1FT+thi/ZBIOHnTfr1mTed+6dTDV1slzK15Gqq3DBfLbb4f9+0OclIiIiNQrhfJaqkGlPFXqAEz/c5Uw+0qlK+VT6d54awN38MzIEcrjcVcFTyRmt2yXFMrTVeyGnnZgpie9UKm9r89dr87O2QNK29uhowMmIs0c2ngurFzprtW998LjjxeezUVERETqnkJ5LZVbKU8mXRiLRl3DcwH+Srm1ZVbKA7SvZIf/0D3leR4wHcoTmbt7oTqQHKHcmPzVcm/mlbCVcoDGnjbAF8oLOHDA3S5fnvv+Vavc7Z79UTjjDHjBC9yJP/cc3HXXzKcHERERmXcUymvJlyhLmnklRIl4uoKdmgnM0WjIQaUh2lemyp19pVilvNTjQ95pbrwPRJOTZFyY0JXyZNKlcGNo6mkFcoTyHJXtw4fd7ZIluQ+7YoW7PXQo/TM84QQ45xx34ocPw89/Dvv2BTxJERERqScK5bXkqwpXc45y/y7JqZlQHirIQrjZV6zB2swPAIEUeU3ZK3oGnBEyU55Q7v0xu/87dCj3BmC2ttLS5v6K5Rzs6TM66iry8bhrVcmludm1sCSTbpYWAHp64OyzXVK/80744hfhRz/KHAkrIiIidU+hvJZ8Ibeaq3mmn2L6KUtqXYHAU7b4n8tbnLNId82MgIsHeS99KuEqzoFDuXcBIpFZz5FzBpZSBnp6obytbXpe82I95V7I7ukp/NsLr4p+6FB6QzIJDz4Ivb1udKi1cM898KtfubkVRUREZF5QKK8Va91XOrGWNJgwRJnY3+tdzUq5/7ihB2BC6CkRp9K3gUN5gT6hfD3loX82XgLPFco9We0r/lBeyKxQ/swzLny3tsJb3gJbtrgT9WZnefJJLTYkIiIyDyiU14qXKtMl5JJCeYjU6w+zySRgbfhKecAGbu+43umFep6gAz2n0gNWg3fwOAVCea5KubUl/Gy8XpWWFpqb3eeusbHC2ThoKO/qcq91eBjGB8bdIE+A0093J9jaCqee6vrNrXWh/Ze/hP7+gCcvIiIitaBQXiu+qnMq5bKifwaQQEL0lGe3lAR8WKaAlfKKhPI8J2dM+i5jSKVK6CkPWilP95BMTrpsG4+HeB1eWbylhUhkJsyPjZGzNyWRcA+JRFzPeCGRCHR3u++PPbTD/TCXLZvZ6O30ghfAS18KbW0uwf/61/Doo1oJVEREpE4plNeKbwSkv5881GwoIXrKZ1XKqV5P+XT7StgqNgSqxvtfS4jPJU7I9hWvSp49b3hBXqW8tdV/k3daxIEBd7toUbCff08PYC0jT+xyG0480d1mP7i7G847D046yd33/PNw222we7fmNRcREakzCuW14mtfKal1BUqulJc0jWAqldEDH+S5phKEb5MJ8JqmW1iSla2U52pfGR+zGfcVlUq5JG/MdJIv1lfujcfs7Az2FD090DB4mOEjE64S7q+S+44LuJ/Vpk3w8pe7/SYm3MDQX/9aA0FFRETqiEJ5rfjK1WWH8gCJNBJxX9aWUF2GUOX17PaVSg70hJmXm/J9wKjWQM/QlXIveXvN5BQI5Wn+SnkQixZBy8A+xsdhcvGKmTsKldk7Olw7y+mnMzTZyLP3HOXxf/kVz//7QySGtOiQiIhIrSmU10olQnnI1BuNAsaU1usdorxeVvtKgBaZarWvZCwelFbyIE+vZ4WZUD49V3lWeA5bKY+QYnFiPwD9TStm71CgNWUPq/hV7BXsbjiBoRFD3327eOyGnzP+0FMzF1NERETmnEJ5rVQylAcsE1dkqsIQlfKpKgz09N81NVXZ9pVYzOXlRMItfgRlTIfoJXEKt694gzyjUdeJEsjRo3Q0J5hqauPwhG+loSIN6ceOuc6VVCTGkvNfwPrLzye2ahmTY0me+cHTJH/yM9d3rikURURE5pxCea34Bnp6wS/UwkEQukycHcpLqpQHDeW+inylB3pOt6+kKtu+4p/9xru0oRd18pJ3jkp5rvaVoSF329YWYpBvXx/t7TDRuYSjR3Pcn6NSbq0L5NbC+vVucpYlJ7Rx6rtfxMS2l3Is2s2e5yfdDC0//zns3KlwLiIiMocUymvFN9DTC35zVSkvq6c8RPtKiOK64294D9y+YoOellMglPs3J0oN5b45yj2Nje7lJBLpH5kvfXuhvN1X8C7q8GFaW2GyfTGDg77sXCDV790Lg4Ou1X3z5pnt8Ticdn43R7e8lKc7XsRYrN3N3fjwwy6c79ihcC4iIjIHFMprZY4HeqafCpjJpdUe6Bl6lhf/cxQImP7Qn6xg+wrMhG/v804lKuX+P2ZXy0OH8kQCBgaIxgxNK3tIpXJMopKjUu6tMXTyybN/hIsWwZo1MN65jEd7zoMzz3QnNDYGjzwCP/sZbN+uOc5FRESqSKG8VnK0r8x1pbySK236Ze8S+HkClvC9l5us8OJB/s1eP/zkRMgpEf2zr/jka2EJHcqPHHGhu6uLRT3uOk23sOT5INPf76rkjY2wcmXuw27a5GbnOXDQMNS+ws1vvm2b2/jww3DTTfAP/wC//W16FSQRERGpJIXyWklXhROpKImEC66hVvOE0mZf8VhbtUp59nFDV8qLPGD6w0XC5VNvusdAx0+l3M55Xoe/p3xqyu0eiwX8YDE56Z4jHp/1KWHWDCwA1oYP5f397ranh64u9603pWI+O3a42zVr8l+nxkZ3P6Sr6sa4i2st9Pa6FzA8DA884Crn990Hhw9rESIREZEKCbvQulRKOoBOJFxKCrViJLjEaK1Li4ES6eysW9WBnqU8T4gVQy3GtZbEKtdPDpntK4mEO37gKrlXQc7xw8xVKU8kXHtMNBri5++Vxbu66GrO3DTNF5SnpmC/mz2RtWsLH/qEE9z4zr17YfOyozQ+8IA71umnu5//k0/OXIx9+9xXa6tL86tXlzBSWURERDyqlNdKOuSOJ1wA9Y0LDCZ030YZFWz/84VYPRTAEGJFz4DP4d3tZexKta7470pMzcweU/FQnm4z8VfJA8284m8g7+qivd1d69HR9EvLcZCDB93DuruLB//WVliyBFJTKQ7f+qB74Lp1cOqp7gW0trpRoq98JWzc6PqtRkbgiSfgpz+Fe+5xnwC8D3AiIiISmCrltZLuKR+bdIk1dKU8ZD85lFHBhrIq5YHDf8ie8slJoKU6oXxqKn2Jm6tXKR8adBXtwK0rQ0Pu59DaCg0NGNyCQ0eOuGr50iXp/XyV8n373O2KHGsM5bJ2LQw9sJ3DfcOsfEmrmzsRMgN/U5MbMbpxIxw6BLt2ufR/4AATOw9wbCTGZPcyWk5aSffGxYF/kyMiIrKQKZTXilcpn3SBJXSlvIRQXlalvIye8mpVyvP9Oa8A1yyjfWXKVfpDh/IcI3a9nD42BhYwlDDI09e64skI5UszK+XJpMvMAMuXB3uKJd1TdB15lokJ6F95Kt3ZgdrfQ24MLF0KS5eSGh3nudv30ff4XmLDA8AeuHsPzR1x1p+1hLYNy1wZPtSbTkREZOHQ/yFrJR1y57JSHouRUfGs1jzlJVfKQw70BMDa4JcgwDXLGOhZavtKjk9YsZg79uQkJFKGhogbNwnhVvIEMkJ53sGe1nL4sCGVcsE96Mw+ZtdOlnQl2BHtZudoL93Td5jp42azFu57rIkDkydgXnACKxaN0Dqwl6En9zI2OMxTP9/LSbv30tEZgZ4eF+SXLJk1baSIiMhCplBeK/5QHi8jlIdI1hm93iZkV0EdTomY7895hQjl0wM9KSGU50nALS0ulE9MQEMzjAy7gFupUG4tGG/WFKCvz923ZAnBpFKwfTuLF8NjbScxdMC9Tb0VWoGcofyJJ+DAAXdZX/xi6O5uBTYy9dqNPHLnMP1PHOTR/QfZGu+nJdU3c2ItLS6kd3S4Un7ovwQiIiLHD4XyWvH3lMfnvn0ldBdB2PaVUiryAYN/yZX4MD3lSTO9eyV6ysH9jAcGXChvbXS7m6AfyBIJN6gyEnEhNq2pyX2Nj7u7p/O9tfT1uZ9Bb2/A8z90CMbHaVrcRnN0CceOuU3Ll5N3JOrhw24KRWPgRS9yA0o9sRhsPbeNB9va2LPnRO6MTfKykw/RcPQg7N7tFibq7/c+Tbh50TdscAfp7i5hjlAREZH5S6G8VpJJkkk3JWIkUsJscmWG8lCDPGFup0QskrKNgVh8JiRWslJuzEwW9DJ2oJ9NKjWz/GeBSjnA+ER6Osd0IA/0G4vBQXfb0TErIHd2ukr1wAC0pSvlY2OuPSYWc/cHsnu3u12zhpW4iV727s3qR/dVypNJt64QuHGfPT2zD2kMvPCF7gPD0aMNPDqwijNWRN0JL1vmLsDgoGuw37/fPcBbfrS9fSag9/Soki4iIsc1hfJasZaJSbCRKM3NAafE8ytz9pXQE2KUOCVirj/nVWLfeiUHesJMKJ+cBGzAgZ4TEy6wNjXlvbheKJ+YgPF0KA/cVu1Nheirknv8oXxVepvXIbI46OQnExNuBhVjYNUqVlp4/HG3KZGAeI72lR07XNhub4cTT8x/6EjETXX+y1/CkYf30v/oA3R3WTjpJNiyxc3e8sQTrte8q8tVz48edUF9aMhNng6MJJsYaezGdnbRvLyTjtWLSvh0KSIiUp8UymvlnHMYWGNJ3Ac9QWff8Kvj9pXQHzA8IYK//2VXslIOs7smAoXyIq0rkBnKJ8aBVhs8lHuV8kWLZt3lVcL9gz37DrnwHLiffO9eF7iXLYPGRppwxekjR1zgX50Vyqem4Nln3aYtW4oH/9ZWeMGqYxy460F2xiwd204mtmWju9NbYbWrCzZtcttSKfeC+vs5/HQ/ex/pZ2J4HNiX/oLGJsPykzvoPakT09XpHt/WVsYbUEREpHYUymuo77ABE2Kgn1+5oTwacnn0EKG8ZCFCuX+XSs5TDi6Ep8+EaDTgSw4ZysfT5xy6Ul4glB87BilriODCNORuKcnJm9B81arpTStXuuPs3Qurl2cG3Z073eXs6goY/JNJ1vbdy0hrikPNa3majWzx7ss1iDQSIdXZzUM7u9mTBDZbWpJD9MYHiA4eZXTfAOODQ+x46Bj9zx/jxBN3uvdBLOau0aJFroTf2upOUnOli4hInVMor5Hbb5+pbAaep9qvhBU9/eGy5J7ykCX2UEXLkDO8pACsrUr7SgJ34pUa5Om/azJhpncPFMpTqZn5E3O8WeLpNpiRERgbhygwGbc0tgT8wDc+7tpFotGMhL18uRuLefgwTPQYGgGsxVp4/nm3z8aNAY4P8NRTMDrK6lM6eG7qFEaedwsVtbaSM5SnUnD33a4NJxqFLVsMa9d2YEwHsAZrYe/OKZ6+5xhDRwcY2D/AqauO0jo+5Nph+vvTk8Jb9549/XT3gaOjw12Utjb3KUlhXURE6oRCeY00N5cZyud6oGeIwFyykJXydN27Ku0rI77vAykyHSK4/Nfc7HLi0JBbmChQaB4acim1tTXvtensdKF8eMQQSQHdmTOhFHTggLvt7c34+TY0uE2HDrmv1QDWcuCAe7mtrQFndhkchO3bAWh/6QtZszPCrl3w2GNuCsVcofyhh1wgb2yEs86a/QsCY2DVuhiLl/Vw33099PXDPUd3cWb0Qdqbm92LHx11XxMTM4NI9+7NPEhLC8mmVkZMG5OxFkxrC62Lm2nqag71d0tERKRcCuU14q/AzlX7ir8oGLpAOBftKyGq8fF4yFCeSrnQb0zR4/t/NoEr5ePj7rbIDCH+qS+NCTihSIF+ck9Xl8ubI6MGEkCXDR7K9+93tzmW/Vy50gXyg4cMq9OXLZ2vWb8+4G9CHn/cBe7166Gzk03Nrlvm4EFXhV/sHSQ9Tehzz8GePe6tliuQ+zU1wTlnWx7/1kOMPrObp6OGTS/bSOupJ7jeneeec8+/cqUbSDo46H7rMDLCsf2jHHx6hGMDI1h7KOO4DQ3QvSRG75pmmrub3Q+qsdE9YWOjO7mmJvcD1WBTERGpgKqGcmNMI/C/gUuBLuAh4H9Za38W4LErgc8AvwtEgJ8DH7TWPp9j3z8APgSsB3YBn7XWfq5Sr6Ma/AXVkv6fXkIoL5m1JYfykhYoCjn7SqBL4L9eRZKkvzoeOpQXWTqzpQXG089fYKKWTP7pEPPw+sqHh8GmP60E6iefnHSN48a40Jpl2TJ3jkcHDJMdkBi29B91P6LVqwMc//BhV/KOx928ibhrumEDPPmkm3Tl3NUR1yxkLceOue0AZ5xROJADkEoRue9eXtB+kGcXR9nRcRq/Tq7ipa3QGmVmEGlbG6xZA7ji+cMPQ197imh8hNjiERZFh2lOjWDHxpkYGGNiZJQDe6Y4sHeIxT1DrOydoHHoiPv11tjYzN+HlhbYunVmwvjGRvfV0DB9axsaScUaiDQ3YuKqg4iISG7V/j/EjcCbgX8EngUuB35kjDnPWntnvgcZY9qA24B24K9x4+4+CPzCGLPVWnvUt++VwL8A3wH+AXgZ8M/GmCZr7fVVeE0VccIJ7rfqgYJNNmtLWtETwJqQvdIwXcEkEgk9s0VLc4gBpSFaZPzzlAe6BCE+xGRUyhsCnn+YUJ7+vrUl4LEDhPJFi9yPZnQUIkk3kLfA7jP6+tz7afHinNcmFnNZ/Wifob8fRq2FRld4DnTdvYR94okZxz/hBDel4sAAHGoyLAVSScv997u32/r17gNBQdbCgw/CwYOYhjgnvuMsjjzTRV8f3HUXnHsuNHqfetLv4QMH4IEH3Fst3hjhxC3trFnTnvEzt9ad185nExx6sp+pHY8w/PwhlvekWNzRjInFXCgfH3cBfWzMHTDd9z8x4VraBwfdzyMxBaR/1LGGCM2LGmjpaqRzSQMdvY2YxpkAT0ODu7Dx9IpiaqEREVkwqhbKjTEvBi7BVbf/Mb3t68CjwKeAlxd4+FXABuBMa+0D6cf+KP3YDwJ/kd7WjAvt37fWviX92P9jjIkAf2mM+bK19lilX1slRKNwyiklPthfUQ4Zks84HY48DkvCfBgIUcH2rFgBg3tcuKrG87S1QX/6+0CXIEQoD10pt3Zm4aAiD2hpmTnvwDOvDA252wKDD6YX+kxfjK6ugNfFm9C8wBQqK1bA0UddQX1w0sKagB8m+/rcANKGhllvhGjUFc4fegieedbQ2wK7d1mGI+5nu3lzgOM/+aTr2YnF4JxziCxaxLZFcOedLlT/9rfwkhUR949cKsWzz7rKPLhOnVNPzf3jMga6Oi1dPbsZb32SPW1JjiSW8kTbchrXruAFL+umracRbr3Vpe7zzoNIhCN7x9n1zAT9/RNEpiaJxCeItE4SSUwQTU5iJieYmkwy1DfOUN84B5+yNCZH6G04Rk98iMbU2Mz7FNyb5bTTZgX2pIkxlogxmXJfxOMQixFvitLUEqG5LUoklv4NQcR36/9eRETqTjUr5Rfhulu/7G2w1o4bY74C/LUxZrm1dn+Bx97lBfL0Y580xvwMeAvpUA78DtADfD7r8Z8D3g68FvhWJV5MXSlh5hVPWxu0rQHCLI5YQuvKySe7ubibgk7Jl0q5cOuFhyKWLoWxXojNboPOrcRKeaDg7C0c1NhY9Nz9PeWBjp1IuONHo0Ub0Ds7YTT9fU93wCq8F8oLjNhcuhSeiBpGRiDRODPLYFHeFC0nnJDzg9bq1a7le+ywYXc/7JpKwQkuhxZ9q/X1uYnSjYFt26b7XGIxN3j0jjvcFJGPHI2w1cDO51M8kf6Qsnmza5/JK5mE+++HAwdoisOGly2nvWcLDz/bwrFxOPJbNzf7umgUjGFoJMJju9rp63MfmiIrXehfutT9TFpa3GlaC2PDSQb3DjLyyPOMPrqd5OAYfYOGw8kW2hri9Cyaor01RSQx4SrwExMkEykGh8YYPOaq72PjTFfeczGpKdoYoY1hWqNjtMYmaGTS/R1LpdzfAS/sR6PYSJTxyQijE1EmEhESqSiJVJSUiWJNBBOLEo1HiDVGiTdFaWyJ0tIWoak1irGpzN+kRdKfqhoaZn8Q0IcBEZGCqhnKTweetNYOZ22/GzDAVmBWKE9XuU8DvpTjmHcDrzLGtFhrR9PPAXBv1n734WbMO53jMZTPZT85lBTKjSnayZEp5OwuxqSLr0Fm/4DAc5SDyyqr1xhiCdfVUZTXuhKgrN7SAjY93aLXB16Qv0pepPTd2Qmj6X0CDfIcGnLn3thYsAofjULvEsP404C1warkw8NuJGck4uY+zMEYF24f3mk4eABst2XlygC98JOTrgcF3Ke/rA8UjY1w9tkumB/eF+Ge7TDWk8JscO3fvqnYZxsfd3MxHjvm/n5t3QrLlrEUOH8VPPqoG4T6yCMwujdKaxKeGEmSaHW7n3ACrFuX+21mJido2fkMLTt3QlMKtjUyNLWGfcml7J1YzJ6GDpKNLTQ1Gzbv/zltZoTdvS9j3+EGbGwC0zmFaZ8ikpqitSFBc3yKuHF/ZmgIDh3EHuqDY8ewqRTD1jKcSmKsJR6DliZoaYamhklGdw4yGO1keCjB6GjmFPGzWOuq/ROjRCZGiU6OEZsYJZKcJB61NDRAvAEa4u51R1viTG56IROTESYm3I8rkYBkyjCVijCVcm1wxqYwiUmiyUnidpKYTRCzk0RJEjdJopEUMZLEopZoYwxOOolEvIXElHFfCZhKGqaShpQ17nM97ntjIEIKY5OY5BRRkyJmksRMkmjEEom4D3DR9G0kajCxCGbxYlLNraSIuGNaQzLlbrE2XTxwBQRjU5hUEpNKQTLpnguLwQIW29mNaW7GP47ZWrApO/35yNr0F8Zdk4iZ/rth0p+8DBZrrdtmU+61mfQ+Znrn6cf6uwynj+H92ZDxgW564qNm1yrlnQ+480z/+Kf/nP0+8V6Pf3/vIO65cj3Ad07+J/T/+2YtZP9z593f3Awmkvv4udjMa5DxGO/TMnn+efXNDBXml9LTP5fsD6K+g1RljbOFvnCa72cb5K0B0LIsSJ/n3KlmKF8O7M2x3QviK/I8rhtoJEdgT28z6WM/l76dsNb2+3ey1k4aY44UeI75rVahPPQyoCGU0CITSshrtmoVMBbw2AFnXgH3QeXEEyE2FbDaHKB1xdPZ6a11CZ2LAvyL5K+SF/nHfNlyww4AbOFQ6/Gq5KtWFfwgtHQpdHZHsM+5APGCFwQ49oMPut8e9PTkLXm3trqK+b3/4f6naGyK0093vfB5DQ66npfx8ZkD+KZGisfddOdLl7qBov3HogwPg+lKsm6d+3yQ86VOTrqq/o4dM3+Xli6Fdeto7+3lZGM4ccqF/eefd59ndu5vID48Qn80RaK9hc5VLSxZ4n5UnZ3p/9cPDrqZcw70QcsgLI0DK0jaVYzEFjEY7eLI1CKOjLUwZlqw0RjtOx6h+fBuBptPYbxnFWaZC5bNDUnampO0xidpGh+gcWKQ2MgAZnAQM3yM1MQUycYUUwlITDQyOR5jMpFiAoONRAGDmUgRHRrF9KUYSqYgYlwbT2KCyOQY0clxzNQkTYkJTGKCSCqZcZmS6a98Jp+eItHWhUmHYy9wR5JTmOmvBLHk1Kxjp3CzNU3mPHKmqaa26cCNTbnQbVPueUOaavLeP+mgCl6STX+f/i1Dyju+Lel5KiEVmSmITP9rMH0us8+pVucpUjHGsPFb/7vWZ5GhmqG8GZjIsX3cd3++xxHwsc3k/3d2vMBzYIy5ArgCYE16VoZ5Y65DeSlzlIf9xF5noXxakP/xBBzk6VmyBPfuDHLsEKG8owNWrjI0EbBTIEDrimfxYhjogvhKW/yzRyIBu3e77084oeixX3CK4dBO6N5ii/+yYccOV4H3EnKB91lXF5x+ZoRDB+DEzSl6CgXygwfhvvtcaO7uhhe9KO+HiRUr3C7b90UxBja9OElHrs8GyaRL2c8+O/P+W7bMpfesUbixmKuwr12bnrDmcJxUCrrWJFi+Nf3ZwFrXo//EfjdidXR05gDxuAv6y5cT7e2lIxqlA1jFzLz4hw/DcKIFO2xY0jhI69J+OpsnWBQdJjY+7D4NDKePGQU6gI4GoNe9tzs6Mr6STa2MjEXc/PhulkmS994L+/fTNj12tZHGxkbi8Q6iEUvUpIhGXCC1JoJtbCLV2MRUtJFErNnd2jiTyQiTNs7kVJTUwCCNTz2EnYLmOMRilnjUEo25Ac2xKBjjAm8k4m4tFmuipCIxbCRGKhJlihhJG01X7A3JKfcjmkqCTaZoOLgbO5XCGEvEd7yIsUSMi6UmEsEagzURMN73UWwk4m6NK1PHjhwELBELXsR11dOZv5sR4/4TMf4Ks1dxtq56Hom4bdP1dzPzz4aJuKiccpV0t4PN2CffPzFeDR6AqSmiiTEi6ZP0/kaZrG8yqu25qti+HYy103+2XrEZ/wPTJfuZJ5kV+02uCnoyiZny/S8/3z+hxsx+7Vm/JrCzX0TmAUN85sjc1XvBKdfe5e0T5Hg5/j3Th5/KsPPktwjVDOVjuIp3tibf/fkeR8DH5nsOb9+8tU5r7ZdIt8hs27Ztfr3r50H7SmhzFcoDrwYUQshQHkqIUA7pAZjjRXdzvzs/csR9H6BHJxI1bDwJmD1r4mw7d7r3TG9voPNuaTWsWwe0F/lrODTkVhwC1xMd4DcTi5dEWLwF6Erl32n79pm51Fetghe+sOinmqYm2HJazP3urjWrvmutK3s/+eTMe6O3FzZtKtqzZIzbtfeFcVgMdB2GA0MujB85kjkQtLHRhfzly91vDfKcszEzWZpoU/pf0d3Qv3v2zpGI+5llBfBcf2+iQEc86/PF0pXwwCF3HG9wakOD69tqbp659eZ9D8Iuh8eT7kNINDrTo+7NUuN/Hu8rwNSnsyQSboRwNJrubYnOfIUdVJ9IuN9keI/xekr8X942r9/ev22uA0QikW4Z8T1vRgpn9n21CjnZ5ylyHKlmKN+Pay/J5m3bl+M+cJNTTBR4rGWmtWU/0GCM6fa3sBhjGnADQPM9x/x2PIbyUltkglYRvJ7yalyzsKE8zP9QQobyXKtj5tTf7655R0ew8w563FQqc4BnEFmLB+U9rjdf4po1rlwdRNaUiBmsdU3iO3a4P598MmzcGOy4MPP3wXvvJpOwa5cL+V4Vu6PDNc4HWvrUxwvB3kpNnpaWmSAeeIodn6VLXZnf2pkA29rq3l9tbe77cgLP8uU5F6EqizEE62sqUzwe/udU6FiBFgqoE/Np6k0FcjmOVTOUPwh8wBjTljXY86z07UO5HmStTRljHgG25bj7LOCZ9CBP7zlI7/sT337bcAsOPcjxqMQ5yktW7Sq2/zmqFfzDfpAJ8w9/qZXyYgF3ctL1TsdiAZf+DHHsw4fdbdAQEjSU79/vrkdbW2WP/cQTrvLY2houoOUL5YmEa1fp63P7bN1apOE8B++9euiQa385eHAmoLe2uoC/cmVpIWLlSvfByQvNXV0uTPun7ylFUxO89KXlHUNERKqimqnuFtwqm+/BLR7krfD5LuDX1tp96W1rgBZr7ZNZj/1bY8zpvnnKTwZeAXzSt9/PcZX1q8gM5e8DhoEfVf5l1YHjsVKu9pXZvCq5b7BhUUED4KH0svJhK4PFQrlX2T3hhODn4gXnfMc+dMgd1xi3zGeY90iuUH7sGNx7r6tmNzS4/vFA09Vk8f4+7PWNZ+/qciN5ly0rr6LX1QUvL7SUg4iIHG+qFsqttb81xnwH+LQxxpst5Z3AWtzKnp6vA+eROXTk88AfAj80xlyPW9Hzj3HtKp/xPceYMebPgc8ZY27GBfOXAe8APmKtHajOq6uxSoTyMINH6jGUhw08pbavVGGgZ+BzD9u64lfovCcnXTCNRIKH0SDnfPSo68mNx4vMO5jn2LnOeXzczbYCgXqyZ/GH8mTSDbp85hn3XIsWuUAe9rcQnpUr3WtuanIhevny8ivZIiKyYFW7/+Ey4K/St13Aw8DrrLW/LvQga+2QMeZ8XAD/c1wrym3ANdbaI1n7ft4YkwD+BPg9YDfwAWvtP1X2pdSRMhYPKkk5UyIGDf/VnnaxWr9dSCbdsb2BbWEUuzalhPIg4dmbdaWnJ/gHrSAtJl6VfN260mbqyTWn8QMPuBaexYtdBTosL5QPDroVOL0PZ+vWuV7vcj5odnbCueeW/ngRERGfqoZya+048Kfpr3z7nJ9n+x7g4oDP83+A/1PCKdbOyIgLCG1t4YPifJgSsdTnmG+hPMTCQaGVUykvJGw/ORQP5WNjrp/cGBd4w8g30PPpp925Nja6tpVS2kH879nJSRekt2yZX4PwRERkQZijkYIyy0MPuSnOzjkn4LKRPsdzT3k1niOZdIHPW/I7iKABMMTCQaGPXa32lVL7yQsdd/t2d9/KleF763P1lO/b50I5uPnIS/3Q09zsFhhKJNyMLWH/romIiMwRhfJaKTa4rZAQS8ZXRD32lHuCXL9qXq9qDfL01icPO/NKscA/POzOubGxcm0xiYSbChBKazHJrsIfPuzaVqC06QSzbd5c3uNFRETmgEJ5rXih3Au8YZQz53YpLQBzOSViNZ6jmr9ZKCeUF/pAUW7rSqGZTMBVjMO8Fwq1r+zc6X5+ixe7wZNh+Y+9f//MfOTr1pUW8kVEROYhhfJaKbVSXkorRrlKqZSHDf/VHOhZr6G8kOH01P5hQ3mx6+71ky9ZUtpxs9+v/sWCSg3Q3rGHh91UheDWmz/llNKOJyIiMg8plNdKoZUGC5nr1hWo7/aVIMqZo7zYh6ZSQnmQDyzVqJSnUjOhvNTe6uzj7tnjrkFHR/ig7/EvDx+JuHaToKuBioiIHCcUymul1PaVai6Ck089tq+EqcSX0+5TTLXbV8IsHASFr0t/v3u/dXSEP99cx02lZgZjbtgQ7nh+zc2uMh6JwPr1bgVLERGRBUahvFZKbV+pZsDMZ77PvlJK+0rY2VeqtZpnJSvl3vzkpQyczNW+snOnmwqxvd3NbFKO004r7/EiIiLzXKT4LlIV86lSvpDbV4qpRiifnCxt5hUo/GGinKkQs0N5IuFWxgS30mY5S8qLiIiIQnnNqFKe+zmqEcqrdc0mJ10LRzxe2UGwpbau+GW/r8bH3aqW0Wh5C+d4x33iCTdtY3c3LFtW+vFEREQEUCivnVoP9AzzYaCcwBzkeawtPfgHOX45s68UOn65q3nmO3apM69A/sDvta709GQOrCzluIcOudaVSERtJyIiIhWiUF4r86V9JZVyX8aUFuaCqPZA0mpNiVjKap5BlNtPDrMDvxfKS50hxQvlIyNuHnGAjRvLO0cRERGZplBeK/OlfWW+t65Aab9dCNIjXWqlPGj7SqUq5daWN8gz+7iJBCxfXt6MKyIiIpJBobxWat2+ElS9zrwSZmDhfK2UV6qn/OhR975paSn9mP6fzbJlcPrpGtwpIiJSQZoSsVZKDeXltq/M1UqbYZ5nvrevVLKnPJFwAyij0dLCfq7rfuCAuy1nQGZDA2zd6n5Gy5eXfhwRERHJSaG8VsqtlB9P7SvVDOXWVn+gZyUr5f7WlUpVor1QXm6YXr26/HMRERGRnNS+UivzZaBnNRf1yX6OaoRy79jxeOXbLarRU16J1hWY+TAxOOgGZzY0QFdXeccUERGRqlEorxVVymc/x3yaoxzKr5TnqsKXMx0izA78/tYV9YCLiIjULYXyWvECaJhKeSLhglwsVr3pCbNVe2YUqG41vtTWlWIBNpVyvd9Qek95LpWYDhFmAv/eve5WfeAiIiJ1TaG8VrwA6gXSIKo1YLGQ+d6+Uq12H68C39gYvgIdpH2lEpXyo0dd5b2xsfSpEEVERGROKJTXihdAw4TyuZ4OEep/oGexed6r1b4yNuZum5pKP0b2uScSriWm1JlXso+9e7f7ftUqta6IiIjUOYXyWim1fQUqE8qDLlo0l+0r1ayUz4c5yv2DPEsN0d7jEomZ1pVVq8o/NxEREakqhfJaKaV9Za4HecLctK9UM/iXG8rzfXgpZ47yfIG7Uv3kADt2uJ/d4sXQ0VH+8URERKSqFMprRe0rM+ZjT3klKuXZgf/YMXe7aFHpx/QC/5Ej7nbDhtKPJSIiInNGobxWvJCbTAZvJallKC81MAd5baVU44O2d5T624Vix/dCeTk95dm8SnmlKtudnRrgKSIiMk8olNeKMZnBPIhqTMFXzPEy+0q1espLCeW5Ar+1bqEfKC+Ue/OcA5x6aunHERERkTmlUF5LYVtYKlEpDzuA8HhpX6mnUJ7L6Ki7Dk1N5f18vcr4xo2uUi4iIiLzQhWn1JCiYjFX/Z4PlfJqzr4yFyt6lhp0iw30rFQor0SVHOAFL4D16yszWFRERETmjCrltRR2BpZahPJ6r5QX61mvRqV8asp9RSLlHdd/7pUK5dGoArmIiMg8pFBeS7VoXwmr1FAepk2mmn3rpYbyQudfjTnKKxXKRUREZF5SKK+lMAsIpVIuYBpTm3nK52P7Sirljm1MZY9dbutKrsDvTYeoUC4iIrIgKZTXUphKub9KPpdLple7fcWbEjIaDfe6guxbrd8sVKqf3GtfmZyEsTF3DdrayjumiIiIzEsK5bUUpqfcC5hz2U8O1R2ECfXZuuKXq2e90oM8BwbcbWfn3H7gEhERkbqhUF5LYSrl3iDPuewnh+rPU74Qp0PMDt5Hj7pbTWEoIiKyYCmU11IpoXwuK+XWur5sqG77ClQ3lJfyQSbIQM9Kta/4K+UiIiKyICmU15IXFr3wWEgt2lcq0U9ebMrCcivlhY7vXbN6q5RnUygXERFZ8BTKa8kLi154LKTS7SvFwjLMzcwr9d5Tnksl21dGRtzPv6EBWlrKPzcRERGZlxTKa8kL2LUI5UHU+8JBxVRjoKe1la2UHznibnt6yj+WiIiIzFsK5bXkhcUg7SteKK9Uy0QQx0sor+QHmclJF8wbGtyKnuWwFg4fdt8vXlz+uYmIiMi8pVBeS2Eq5ZXuYw6inMAcdGq/Up8jzDzlpVTK8x2/0j8HVcpFREQEhfLaqvdQPheV8rmYfaWSPeVjY+62nJ+DF/iHh93PtaEB2tvLPzcRERGZtxTKa8nfvlJo4GUq5YK7MeW3YoRZnKbaCwfB/Bvo6YXy5ubyj3XokLtV64qIiMiCp1BeS8bMBMZCc5V7VfLGxrld8XG+95R7v4GoZE95JUN5X5+7Xbas/GOJiIjIvKZQXmtBpkWsResKVH81T/9zVGOe8mpUyr2fRTmh3P/BKhKBJUvKOycRERGZ9xTKay1IX3mtQvlctq/Ua095duivZKUcXCCv9DzqIiIiMu8olNdaPYfySlTKiy1SVK3gPzXlnjsWK3/qQr/RUXdbTihPpWa+X7u2vPMRERGR44JCea01Nrpbbx7yXGoxRznMbU95pZ+jnOkQIXfvvrWV+Vl4c5MD9PaWfhwRERE5biiU15oX7rxqeC6VmIYvW7EKNtR3+0qxAa/V6ie31v0cyqm+b9jgzv/FL57bgbsiIiJSt6qYtiQQr1JeKJTXqlI+HwZ65lPP0yFu2uSCeTU/7IiIiMi8okp5rXlBu1D7SjUq5UHM58WDvFBe7nSI/t8oVHKQpwK5iIiI+CiU11qxSrm1lZ/xI6hyAnPQtoxqVcrL7SnPpVY/BxERETnuKZTXWrFK+cSEm62joWHuq6vVbl9JpdyXMZWdIQXKb1/J9aGiVr+xEBERkeOeQnmtFZt9xQuCLS2Veb4wAwur3b5SzYGklWpf8av0z0JEREQkTaG81qJRV81NpXLPVV6JebFLVc2FfSp1/HyzyFSzfUWVchEREakwhfJ64AVuL4D7edtqUZ2tdqW8mu0xlZp9xR/6a/mzEBERkeOaQnk98EJevYbyeq6U51PpKREnJ935xmKVbYkRERERQaG8PhQK5SMjmfvMpUpUsgstUlTNUO61r5QaoLN7772fQ2tr6eckIiIikodCeT0oFMqHh91te/vcnQ+4MJ1Kue/rcaDnXK/oqdYVERERqSKF8nqQL5QnEm5Wlmj0+Fw4aD61ryiUi4iISBUplNeDfKHcq5K3toabyjCIQm0lUP1+cqjeQM9Uyh3bmMqdv/ezUfuKiIiIVIFCeT3wQvfIyEwYhtq1rkD1Fw7yP0elg7933Hi8/A8z3oeXWvb2i4iIyHFPobweRCLQ1ua+Hxqa2T446G69++ZSue0rQcJwteYpr8Yc5WpfERERkSpSKK8XHR3u1gviAAMD7razc67PpvoLB1XzOSrdT55KuYWDjKnNIk4iIiJy3FMorxdeKPcq5dbCsWPu+0qG8qDtHPN5oGe50yFC5nXy2ohaWtxvNUREREQqTAmjXnih/OhRdzs05IJxS0ttFquZy4GelZ4SsRKh3K+Wvf0iIiKyICiU14vubleFHRhw7Rd9fTPba2GhV8o91s6E8lr09ouIiMiCoFBeL2Ix6OpyIfDwYThwwG1furQ25zOfZ1/xesorVSn3WopUKRcREZEqUSivJ0uWuNsnn4T+flc597bNtXpvXylkYsLdVrp9RZVyERERqRKF8nqyerUL4l4IXLmyuqG4kPnSvpJrSsRKVMq9nnW1r4iIiMgcUCivJ42NsHWrC5NdXbBlS+3OZT63r1RynvLRUTclYnNz7T4giYiIyHFPKaPerFzpvmqtUpXyXJXs7Oeo54Ge3rzx6icXERGRKlKlXHKr9uJBqZT7Mqbyc39XMpR7CzgtWlT+sURERETyUCiX3KrdU15u6J+recq9mVdqsaqqiIiILBgK5ZJbtWdfqeZ0iNa645ZTgc8O/QrlIiIiUkUK5QtVoV5vqP5Az/kyRzm4AbhNTZU7noiIiEgWhXLJrdz2lULtJTA/Zl7xLF5cuWOJiIiI5KBQLrlVe6BntUN5JSvlCuUiIiJSZQrlktt87SmvVCj3Xj9Ab295xxIREREpQqF8oSnWVuJZ6JXyvr6Z75ubyzuWiIiISBEK5ZLbfBnomT1gtVKhfMkSd3vSSeUdR0RERCQAregps6VSLuxGIpVf2MdT76t5vvCFcPQoLF9e/jmJiIiIFKFKucxWySp5vqkX6719palJgVxERETmjEK5zFbtfvJKPEe+3vhqzFMuIiIiUmVVDeXGmE5jzJeMMX3GmBFjzM+NMVtDPH6zMebHxphhY0y/Meb/GmMWZ+2zyRjzaWPMg8aYIWPMfmPMfxljzqj4C1oo5kMoz6caUyKKiIiIVFnVQrkxJgL8ALgEuAH4MLAU+IUx5sQAj18F/Ao4Efgz4O+BNwA/Mcb4V4Z5D/CHwL3AnwD/AGwCfmuM+Z2KvaCFpNrTIUL1QvnEhLtVKBcREZF5pJoDPS8CXgK8yVr77wDGmJuBp4G/BC4r8vg/A5qBrdbavenH3w38FLgU+Gp6v28C11prh70HGmO+CjyRfp7bKvR6ji/5er2hMoE56IqelZzdxVpVykVERGReqmb7ykXAPuD73gZrbR9wM/DGrGp3Lm8G/sML5OnH34oL9W/xbbvPH8jT244AtwOby30RC1K1p0P0P0clp0RMJNyf4/HqzRojIiIiUgXVTC6nA/dZO6skezfQDmzI90BjzEpgCa4lJdvd6WMXsww4HOxUJcN87Sn3WlcaGyt3TBEREZE5UM1QvhzYn2O7t21Fkcf6981+/BJjTN4yrjHmZcA5uKq8hDVfe8oVykVERGSeCpSI0oM2AzXpWmvH0982AxM5dvHfn493X7HHD2ffaYxZAvw/4Dnc4NCcjDFXAFcArFmzpsCpLECqlIuIiIjMqaCV8pcDY0G+fFMWjgG50lGT7/58vPtCPd4Y0wr8F9AK/J61diTfE1hrv2St3Wat3dbb21vgVI4zxQZgwvzoKc/1OhTKRUREZJ4KmoieBN4VcN+h9O1+ZtpQ/Lxt+wocw2tbyff4Q9bapH+jMaYB+B5wKvC71trHA56vZKt2pdwf+oN8SAhKM6+IiIjIPBUodVlrDwA3hjz2g8BLjDEma7DnWbi2k2cLPN9eY0wfsC3H3S9OH3taur3m68AFwEXW2ttDnqv4VbKnPNfUi9Weo1yVchEREZlnqjnQ8xbcYM7f8zakW1suBr5vrU34tp+YY0Gh7wL/Iz0Ti7ffBcBG4DtZ+94AvBW4ypsTXcpQ7Up5tQaSKpSLiIjIPFXNxYNuAe4Cvm6M+Xvc9IRX4T4IXJu178/St+t82/4GF+BvM8bcALQBfwo8hKuKA2CMuSZ93DuBUWPMO/wHttb+a0VezUJS7Z7ySh7fX4nXap4iIiIyT1UtlFtrk8aY1wF/B7wfN1vK3cBl1tq8rSu+x+82xpwH/APwSWASN4jzj621k75dt6Zvz0l/ZVMoD2uuesorfXyvp1yVchEREZlnqlkpx1p7FHhP+qvQfuvybH8MeHWRx14OXF7SCS5kuXq9PZUIzYUGcKqnXERERCSD1iKX2aq9eFA1QvnUlDvvSKS686uLiIiIVIFCucw2Vz3llazEj6fXlGoutCaViIiISH1SKJfZ5mNPuRfK1boiIiIi85BCuWSydqZ9pVqV8kR6Nsx4vHLHVKVcRERE5jGF8oWm2Aqa/kBeydU2/apZKW9qqtwxRUREROaIQrlkqnbrClS3Uq5QLiIiIvOQQrlkqvbMK6BKuYiIiEgWhXLJNN8q5d586wrlIiIiMo8plEumak+H6H+OSgb/sTF3q1AuIiIi85BCuWSqdGDOtXJopXvKrZ1ZzVOhXEREROYhhfKFKldYhrlpX6n0c0xOutfT0OBW9BQRERGZZ5RgJNNcDPSsRKXcP12j+slFRERknlMol0zVrpQnk66qHYlUrqo9OuputXCQiIiIzFMK5ZLJq2KXG8rzLTxUjdDvhfKWlsodU0RERGQOKZRLpmpXyquxcJBCuYiIiMxzCuULTb4KtscL5ZUMzbmOX8nZXRTKRUREZJ5TKJdMqpSLiIiIzDmFcslUqZ7yfKq5cJBCuYiIiMxTVZz3Tual+VIp99pwJifdbUNDdadxFBEREakiVcolU6V7yrMXKapW6G9rq+zxREREROaQQrlkqnb7SjV6ygHa2yt7PBEREZE5pFAumardvqJKuYiIiMgsCuUyw9r501OeTZVyERERmccUymVGMuluY7Hi85mXqlqhX6FcRERE5jGFcplRycCcL9RXY3Gi5mZoaqrc8URERETmmEL5QpU9KwpUf5BntZ6ju7tyxxIRERGpAYVymVGNKna2Ss9TDtDVVd6xRERERGpMoVxmVHuQZyWfw1/p7+0t71giIiIiNaYlEGXGXLSvVKoaH4+7CnlDg6ZDFBERkXlPoVxmVLtSnkq5GV6MgWi0vGMZA+eeW5nzEhEREakxta8sNIWmOqxGT7m/zaRac5SLiIiIzHMK5TKj2u0rCuUiIiIiOSmUy4y5Ws2zoaE6xxcRERGZpxTKZUa1Q/nkpLtVpVxEREQkg0K5zKh2e4naV0RERERyUiiXGZUMzbkGlCqUi4iIiOSkUC4zqh2avfYV9ZSLiIiIZFAoX6j8UxV61L4iIiIiUhMK5TJDoVxERESkJhTKxbFWoVxERESkRhTKxfFPh1ho1c9yqKdcREREJCeF8oUmX+Ceiyq2KuUiIiIiOSmUi6NQLiIiIlIzCuXizGUoV/uKiIiISAaFcnGqFcq9qRenpiCVgmgUInrbiYiIiPgpHYmjmVdEREREakahXByFchEREZGaUSgXp9qhWdMhioiIiOSlUL5Qeb3eHoVyERERkZpRKBen0qE8ez70iQl329hYmeOLiIiIHEcUysVRpVxERESkZhTKxal2KFelXERERCQvhXJxVCkXERERqRmF8oUmu9fbU+3QrEq5iIiISF4K5eJmYql2KFelXERERCQvhXLJbF3JV0kvlTf1oirlIiIiInkplEv1q9iplAv+xmhFTxEREZEcFMplJpRXq4pdzUq8iIiIyHFAoVxmWks0yFNERESkJhTKpTrtK/6KuAZ5ioiIiBSkUC6aDlFERESkxhTKRdMhioiIiNSYQrlUPzSPj7vbpqbqHF9ERERknlMoX6i8+cOh+gM9x8bcrUK5iIiISE4K5VL9KRFVKRcREREpSKFc5q59pbm5OscXERERmecUyqW6odxaVcpFREREilAoX+iSSfcViUAsVvnjJxLu+LFYdY4vIiIichxQKF9ospe5r/Yc4qqSi4iIiBSlUL7QVTs0q59cREREpCiF8oWuWqE8uyLf2lrZ44uIiIgcRxTKF7q5ai9paanu8UVERETmMYXyhc4L5dXqKfeoUi4iIiKSl0L5QjdXlXKFchEREZG8FMoXKmvdrTf7itpXRERERGpGoXyhm4v2leZmiEard3wRERGReU6hfKEbHXW31axkd3ZW79giIiIixwGF8oVsfBxSKYjHq7vapkK5iIiISEEK5QvZXFTJQaFcREREpAiF8oXGv6jP2Ji7rcbMKJOTM98rlIuIiIgUpFC+kFWzUu4F8c7O6rbGiIiIiBwHlJYWsmqG8tZWeOUrq78okYiIiMhxoKqVcmNMpzHmS8aYPmPMiDHm58aYrSEev9kY82NjzLAxpt8Y83+NMYuLPOYtxhhrjBko9/yPe0ND7rZaC/s0N0NEv4wRERERKaZqlXJjTAT4AXAq8PfAEeAq4BfGmDOttc8Vefwq4FfAAPBnQBvwIeBUY8xZ1tpEjsc0A38HjFTwpRyfrIXBQfd9R0dtz0VERERkgatm+8pFwEuAN1lr/x3AGHMz8DTwl8BlRR7/Z0AzsNVauzf9+LuBnwKXAl/N8ZiPAOPA94ELy38Jx7HRUUgm3UqeDQ21PhsRERGRBa2avQUXAftwARkAa20fcDPwRmNMvMjj3wz8hxfI04+/FRfq35K9szFmDfBhXDV9VhVdsnhV8vb22p6HiIiIiFQ1lJ8O3GettVnb7wbagQ35HmiMWQksAe7Ncffd6WNn+3vgN9ba/yztdBcYr5980aLanoeIiIiIVDWULwf259jubVtR5LH+fbMfv8QYE/U2GGPOA34f+JMSznNh6+6u9RmIiIiILHiBesrTgzYDNR5ba8fT3zYDEzl28d+fj3dfsccPp8P5PwFfs9Y+FOQcAYwxVwBXAKxZsybow44vkQj09NT6LEREREQWvKCV8pcDY0G+fFMWjgG5Jqlu8t2fj3dfkMdfAawHPl70VfhYa79krd1mrd3W29sb5qHzm39FzxUrtLCPiIiISB0ImsieBN4VcN90szL7mWlD8fO27StwDK9tJd/jD1lrk8aYBuB/AzcCzcaYdel92oBI+s8j6QGmArB0KezY4WZc2by51mcjIiIiIgQM5dbaA7jgG8aDwEuMMSZrsOdZwDDwbIHn22uM6QO25bj7xeljA7QAi4Gr01/Znge+DVwS8tyPXx0d8KpX1fosRERERMSnmr0Lt+CmRfw94N8B0q0tFwPf9y/+Y4w5ESBrQaHvApcaY1b65im/ANiIWyAI3CJBb8rx3O/Hhf+3A3sq95JERERERCrPzJ6xsEIHdgMw7wBegJuu8DBuRc/VwJnW2md9++4AsNau821bDTwA9AM34FpS/hTYBbzYWjtZ4LlvBN5ore0Mcq7btm2z996ba/ZFEREREZHKMMbcZ63N1QlSvSkRrbVJ4HW4xYLej6tu9wG/4w/kBR6/GzgP14LySdzCQD8AXlUokIuIiIiIzDdVq5TPJ6qUi4iIiEi11aRSLiIiIiIiwSiUi4iIiIjUmEK5iIiIiEiNKZSLiIiIiNSYQrmIiIiISI0plIuIiIiI1JhCuYiIiIhIjSmUi4iIiIjUmEK5iIiIiEiNKZSLiIiIiNSYQrmIiIiISI0plIuIiIiI1JhCuYiIiIhIjSmUi4iIiIjUmLHW1vocas4Y0wfsrMFTLwYO1+B5jye6huXTNSyPrl/5dA3Lp2tYHl2/8ukaBrPWWtub6w6F8hoyxtxrrd1W6/OYz3QNy6drWB5dv/LpGpZP17A8un7l0zUsn9pXRERERERqTKFcRERERKTGFMpr60u1PoHjgK5h+XQNy6PrVz5dw/LpGpZH1698uoZlUk+5iIiIiEiNqVIuIiIiIlJjCuUiIiIiIjWmUD7HjDGNxphPGWP2GWPGjDF3GWMuqPV51SNjzIuMMZ8zxjxujBkxxuwyxnzLGLMhx74vMcbcYYwZNcYcMMZ81hjTUovzrmfGmA8bY6wx5sEc9+ka5pF+L/7AGHPUGDNsjHnIGHN51j7/wxhzvzFmPP1e/UtjTKxGp1xXjDEnGWO+bYzZk/67/Lgx5qPGmMas/Rb8e9AYs9wY80ljzG3GmKH039fz8+wb6D1njOk0xnzJGNOXvv4/N8ZsrfJLqYkg188Y02OM+VNjzO3pazJgjLnTGHNxnmMumOsH4d6DvsesTf+9tbmuzUK7hqVSKJ97NwIfBP4V+ACQAn5kjDmnlidVpz4C/D5wK+5afQk4H3jAGLPZ2yn9F/tnQBPwx8CXgSuBb8/t6dY3Y8wy4OPASI77tqJrmJMx5rXAr4E48OfAn+Dek6uz9vl3oB+4Ov39XwCfmduzrT/GmJXA3cBZwD/j/v27D/hb3PvM228reg8CnIz7t28V8HC+nYK+54wxEeAHwCXADcCHgaXAL4wxJ1b87GsvyPU7B/hr4AjwCeB/AWPAzcaYP/fvuACvHwR8D2b5e1yemWWBXsPSWGv1NUdfwIsBC1zj29YEPAv8qtbnV29fwEuAhqxtJwHjwI2+bT8E9gBtvm3vSV/rV9T6ddTLF+4D4c+BXwAPZt2na5j7mi0CDgKfLbLfY7igGfVt+wSQBE6q9euo8TX8SPp99IKs7bcACSCe/rPeg+41twM96e/fmH795+fYL9B7DnhL+hhv9G3rBY4CX6/1663F9QPW41ZV9G8zuA+Fo0DzQr1+Yd6Dvv3PBybS7z8LbM26f8Fdw1K/VCmfWxfh/ic0XR2y1o4DXwHONcYsr9WJ1SNr7W+stZNZ257B/c9oM4AxpgN4Fe4v9rBv168Dw7h/DBY8Y8yLgXfgKpDZ9+ka5vc2oBNXgcQY026MMf4djDFbgC3AF621Sd9dn8f9NvLNc3OqdasjfXswa/sB3L+HSb0HZ1hrh6y1RwrtE/I9dxGwD/i+7zn6gJuBNxpj4pU693oQ5PpZa5+31u7M2mZxv21oBtb57lpQ1w+CXUOPMSYKfBb3W7Bn8+y24K5hqRTK59bpwJNZ/9MB96tdA2yd8zOaZ9KBaClwOL3pVCAG3OvfLx3mH8Rd8wUtfc1uAP6vtfbBHLvoGub3SuBJ4HXGmN3AINCf7reMpvfxrk/29duHq/wu5OsH8Mv07VeMMS80xqw2xrwduBz4lLU2hd6DYYV5z50O3JcOnX534yqis8boLGDL0reHfdt0/Qq7ElgJ/FWBfXQNA1Ion1vLgf05tnvbVszhucxXb8f9A3Bz+s/ebxfyXVddU7gMV1X7eJ77dQ3z24DrHb8x/fVm4N9wLRnXp/fR9SvAWvsTXC/+q3ABexduTM2nrLXXpXfTNQwnzPXS/3cCMMZ049qlfpGu4np0/fJIX7O/Aq611g4U2FXXMCDNDDC3mnF9V9nGffdLHsaYTcDngDuAm9KbvWuW77ou6GtqjGkHPgl80lqb6x9F0DUspA3oAj5qrf1Uetv3jDFtwFXGmE9Q/PotqNlD8ngeN5bh33CD6y4ErjPG9Flr/wW9B8MK857T/3eKSA9E/AZuDMn7s+7W9cvvfwOHgH8psp+uYUAK5XNrDGjMsb3Jd7/kkJ455Ae4gSEXp3/lDTPXLN91XejX9OPAJPAPBfbRNczPe+3fzNr+DeBi3OBtXb8CjDGXAF8ENqbbK8B9sIkAf2+M+Ta6hmGFuV76/05xNwCvBt5urX0k6z5dvxyMMacA7wX+h7V2qsjuuoYBqX1lbu1n5teOft62fTnuW/CMMYuAH+GqGK+21h7w3e1Vf/Nd1wV7TdMDh6/B/XZhqTFmnTFmHe4fwob0n7vQNSzEuzbZgxS9P+v6FXcVrp80+zr8B9AKvBBdw7DCXC/9f6cAY8xf4t6jH7bWZn/4Bl2/fP4GuB943Pf/lsXp+1YYY1b79tU1DEihfG49CGxK/+rb76z07UNzezr1zxjTBPwnsBF4vbX2qaxdHgWmgG1Zj2vADZx9sPpnWbeWAg3Ap3DtA97XWbjZa57H9UbrGuZ3X/p2Zdb2VenbPmauT/b1W5He70EWtqVANMd2b8aFGHoPhvVg+jbIe+5B4MzsWYNw/w4Mk3/GjOOeMeaPgGuBz1hr/z7Pbg+i65fLGuBFZP6/5e/S9/0AuMe374PoGgaiUD63bsH9j+g93gbjVrR7F/DrHJWkBS09u8W3cQs9XGytvSt7H2vtMdxCLpdmfdi5FNcP/J25ONc69TzwphxfjwE70t9/XdewIO+1/4G3If0/lvfgFmG6y1r7GG6Glit8M7IAvA+3mMZ35+hc69XTwLYci4T8f7g5tR/WezCckO+5W3AD6X7P22CMWYxrv/q+tTZR/TOuP8aYtwL/hGtF+5MCu+r65fZBZv+/5Yb0fX+Mm13Jo2sYkJk9Q41UkzHmZtxk/J8BngPeifu0+TvW2l/X8NTqjjHmH3Eref4nM7OteIattf+e3u8M4De4atuXcZWiPwFus9a+bq7Od74wxvwC6LTWbvVt0zXMwxjzf3Hh8Cu4X9demP76sLX279L7vB7XjvFz3AfJU4D/iZtH+qpanHe9MMa8HHddDuPmMu4HXg+8FvgXa+370vvpPZhmjPFmStqMmyv/q7gP2QPW2n9O7xPoPZcO7XcAL8CtungY166xGjjTWnvcVSmLXb/0ug23A8dwvy3MDoU/tdYeTB9rwV0/CPYezPGYy4GvAaf7p99dqNewJLVevWihfeH6ef8O12M1jpun85W1Pq96/MLN1mDzfO3I2vdc3FLoY7h+338CWmv9GurxixwreuoaFrxeDbhpv3bhBs0+CVyZY783Ag+k/17vBq4DYrU+/3r4wg2I/WH6371J4Cngo/hWo0zvp/eguw5B/90L9J7DjX34Mi4MjQC3AWfU+nXW6vrhqrj59sm1AuiCun5h3oNZj/Gu69aF/h4s9UuVchERERGRGlNPuYiIiIhIjSmUi4iIiIjUmEK5iIiIiEiNKZSLiIiIiNSYQrmIiIiISI0plIuIiIiI1JhCuYiIiIhIjSmUi4iIiIjUmEK5iIiIiEiNKZSLiIiIiNTY/w/htQEETcIaoQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<Figure size 864x576 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#Test the error data\n", + "plt.figure(figsize = (12, 8))\n", + "plt.plot(timesrd_final, error.real, \"b\", alpha=0.3, lw=2, label='error real')\n", + "plt.plot(timesrd_final, error.imag, \"r\", alpha=0.3, lw=2, label='error imag')\n", + "plt.plot(timesrd_final, np.sqrt(error.imag**2+error.real**2), \"r\", alpha=0.3, lw=2, label='all error')\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 146, + "metadata": {}, + "outputs": [], + "source": [ + "#Take the piece of waveform you want\n", + "position = np.argmax(timesrd_final >= tshift)\n", + "timesrd_final_tsh = timesrd_final[position:920]\n", + "gwdatanew_re_tsh = gwdatanew_re[position:920]\n", + "gwdatanew_im_tsh = gwdatanew_im[position:920]\n", + "error_tsh=error[position:920]\n", + "#timespan_new=timesrd_final[0:920]\n", + "#gwdatanew_re=gwdatanew_re[0:920]\n", + "#gwdatanew_im=gwdatanew_im[0:920]\n", + "#error=error[0:920]" + ] + }, + { + "cell_type": "code", + "execution_count": 154, + "metadata": {}, + "outputs": [], + "source": [ + "#Fitting\n", + "#RD model for nmax tones. Amplitudes are in (xn*Exp[i yn]) version. Used here.\n", + "def model_dv(theta):\n", + " #x0, y0= theta\n", + " #Your nmax might not align with the dim of theta. Better check it here.\n", + " assert int(len(theta)/4) == dim, 'Please recheck your n and parameters'\n", + " \n", + " wvars = theta[ : (dim)]\n", + " tvars = theta[(dim) : 2*(dim)]\n", + " xvars = theta[2*(dim) : 3*(dim)]\n", + " yvars = theta[3*(dim) : ]\n", + " \n", + " #if vary_fund == False:\n", + " # avars[0]=0\n", + " # bvars[0]=0\n", + " \n", + " ansatz = 0\n", + " for i in range (0,dim):\n", + " #bvars[1]=0\n", + " #avars[1]=0\n", + " ansatz += (xvars[i]*np.exp(1j*yvars[i]))*np.exp(-timesrd_final_tsh/tvars[i]) * (np.cos(wvars[i]*timesrd_final_tsh)-1j*np.sin(wvars[i]*timesrd_final_tsh))\n", + " # -1j to agree with SXS convention\n", + " return ansatz\n", + "\n", + "def prior_transform(cube):\n", + " cube[0] = 0.5+ cube[0]*0.1\n", + " cube[1] = 0.35 + cube[1]*0.35\n", + " cube[2] = 8 + cube[2]*8 \n", + " cube[3] = 0 + cube[3]*7\n", + " cube[4] = 0 + cube[4]*3\n", + " cube[5] = 0 + cube[5]*30\n", + " cube[6] = 0 + cube[6]*2*np.pi\n", + " cube[7] = 0 + cube[7]*2*np.pi\n", + " return cube\n", + "\n", + "\n", + "# LogLikelihood function. It is just a Gaussian loglikelihood based on computing the residuals^2\n", + "def log_likelihood(theta):\n", + " modelev = model_dv(theta)\n", + " result = -np.sum(((gwdatanew_re_tsh - modelev.real)**2+(gwdatanew_im_tsh - modelev.imag)**2)/(2*(error_tsh.real**2+error_tsh.imag**2)))\n", + " if np.isnan(result):\n", + " return -np.inf\n", + " return result\n", + "\n", + "\n", + "# Logposterior distribution for the residuals case.\n", + "# The evidence is just a normalization factor\n", + "def log_probability(theta):\n", + " lp = log_prior(theta)\n", + " if not np.isfinite(lp):\n", + " return -np.inf\n", + " return lp + log_likelihood(theta)" + ] + }, + { + "cell_type": "code", + "execution_count": 155, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "3298it [00:11, 72.09it/s, bound: 0 | nc: 101 | ncall: 24826 | eff(%): 13.284 | loglstar: -inf < -9776.093 < inf | logz: -9785.854 +/- 0.137 | dlogz: 9339.160 > 1.009] Traceback (most recent call last):\n", + " File \"/work/francisco.jimenez/sio/pyenv/versions/3.6.6/lib/python3.6/site-packages/dynesty/dynesty.py\", line 939, in __call__\n", + " return self.func(x, *self.args, **self.kwargs)\n", + " File \"<ipython-input-154-5e93979b5f76>\", line 39, in log_likelihood\n", + " modelev = model_dv(theta)\n", + " File \"<ipython-input-154-5e93979b5f76>\", line 21, in model_dv\n", + " ansatz += (xvars[i]*np.exp(1j*yvars[i]))*np.exp(-timesrd_final_tsh/tvars[i]) * (np.cos(wvars[i]*timesrd_final_tsh)-1j*np.sin(wvars[i]*timesrd_final_tsh))\n", + "KeyboardInterrupt\n", + "3298it [00:11, 276.80it/s, bound: 0 | nc: 101 | ncall: 24826 | eff(%): 13.284 | loglstar: -inf < -9776.093 < inf | logz: -9785.854 +/- 0.137 | dlogz: 9339.160 > 1.009]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Exception while calling loglikelihood function:\n", + " params: [ 0.59904523 0.69585865 11.6323335 2.21761781 1.11784527 25.32226636\n", + " 2.03902056 5.55042952]\n", + " args: []\n", + " kwargs: {}\n", + " exception:\n" + ] + }, + { + "ename": "KeyboardInterrupt", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m<ipython-input-155-a45d1edfbc8f>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mf2\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mdynesty\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mNestedSampler\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlog_likelihood\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mprior_transform\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mndim\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnlive\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mnpoints\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mf2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrun_nested\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m/work/francisco.jimenez/sio/pyenv/versions/3.6.6/lib/python3.6/site-packages/dynesty/sampler.py\u001b[0m in \u001b[0;36mrun_nested\u001b[0;34m(self, maxiter, maxcall, dlogz, logl_max, n_effective, add_live, print_progress, print_func, save_bounds)\u001b[0m\n\u001b[1;32m 926\u001b[0m \u001b[0msave_samples\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 927\u001b[0m \u001b[0mn_effective\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mn_effective\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 928\u001b[0;31m add_live=add_live)):\n\u001b[0m\u001b[1;32m 929\u001b[0m (worst, ustar, vstar, loglstar, logvol, logwt,\n\u001b[1;32m 930\u001b[0m \u001b[0mlogz\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlogzvar\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mworst_it\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mboundidx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbounditer\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/work/francisco.jimenez/sio/pyenv/versions/3.6.6/lib/python3.6/site-packages/dynesty/sampler.py\u001b[0m in \u001b[0;36msample\u001b[0;34m(self, maxiter, maxcall, dlogz, logl_max, n_effective, add_live, save_bounds, save_samples)\u001b[0m\n\u001b[1;32m 780\u001b[0m \u001b[0;31m# `logl > loglstar` using the bounding distribution and sampling\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 781\u001b[0m \u001b[0;31m# method from our sampler.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 782\u001b[0;31m \u001b[0mu\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mv\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlogl\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_new_point\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mloglstar_new\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlogvol\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 783\u001b[0m \u001b[0mncall\u001b[0m \u001b[0;34m+=\u001b[0m \u001b[0mnc\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 784\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mncall\u001b[0m \u001b[0;34m+=\u001b[0m \u001b[0mnc\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/work/francisco.jimenez/sio/pyenv/versions/3.6.6/lib/python3.6/site-packages/dynesty/sampler.py\u001b[0m in \u001b[0;36m_new_point\u001b[0;34m(self, loglstar, logvol)\u001b[0m\n\u001b[1;32m 378\u001b[0m \u001b[0;32mwhile\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 379\u001b[0m \u001b[0;31m# Get the next point from the queue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 380\u001b[0;31m \u001b[0mu\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mv\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlogl\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mblob\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_get_point_value\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mloglstar\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 381\u001b[0m \u001b[0mncall\u001b[0m \u001b[0;34m+=\u001b[0m \u001b[0mnc\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 382\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/work/francisco.jimenez/sio/pyenv/versions/3.6.6/lib/python3.6/site-packages/dynesty/sampler.py\u001b[0m in \u001b[0;36m_get_point_value\u001b[0;34m(self, loglstar)\u001b[0m\n\u001b[1;32m 362\u001b[0m \u001b[0;31m# If the queue is empty, refill it.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 363\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnqueue\u001b[0m \u001b[0;34m<=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 364\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_fill_queue\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mloglstar\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 365\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 366\u001b[0m \u001b[0;31m# Grab the earliest entry.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/work/francisco.jimenez/sio/pyenv/versions/3.6.6/lib/python3.6/site-packages/dynesty/sampler.py\u001b[0m in \u001b[0;36m_fill_queue\u001b[0;34m(self, loglstar)\u001b[0m\n\u001b[1;32m 351\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0muse_pool_evolve\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 352\u001b[0m \u001b[0;31m# Use the pool to propose (\"evolve\") a new live point.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 353\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mqueue\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mM\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mevolve_point\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0margs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 354\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 355\u001b[0m \u001b[0;31m# Propose (\"evolve\") a new live point using the default `map`\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/work/francisco.jimenez/sio/pyenv/versions/3.6.6/lib/python3.6/site-packages/dynesty/sampling.py\u001b[0m in \u001b[0;36msample_unif\u001b[0;34m(args)\u001b[0m\n\u001b[1;32m 88\u001b[0m \u001b[0;31m# Evaluate.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 89\u001b[0m \u001b[0mv\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mprior_transform\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mu\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 90\u001b[0;31m \u001b[0mlogl\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mloglikelihood\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mv\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 91\u001b[0m \u001b[0mnc\u001b[0m \u001b[0;34m=\u001b[0m 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\u001b[0;34m*\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 940\u001b[0m \u001b[0;32mexcept\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 941\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mtraceback\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m<ipython-input-154-5e93979b5f76>\u001b[0m in \u001b[0;36mlog_likelihood\u001b[0;34m(theta)\u001b[0m\n\u001b[1;32m 37\u001b[0m \u001b[0;31m# LogLikelihood function. It is just a Gaussian loglikelihood based on computing the residuals^2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 38\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mlog_likelihood\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtheta\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 39\u001b[0;31m \u001b[0mmodelev\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmodel_dv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtheta\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 40\u001b[0m \u001b[0mresult\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m-\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgwdatanew_re_tsh\u001b[0m \u001b[0;34m-\u001b[0m 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"f2=dynesty.NestedSampler(log_likelihood, prior_transform, ndim, nlive=npoints)\n", + "f2.run_nested()" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Summary\n", + "=======\n", + "nlive: 1000\n", + "niter: 502\n", + "ncall: 1653\n", + "eff(%): 90.865\n", + "logz: -0.055 +/- nan\n" + ] + } + ], + "source": [ + "res = f2.results\n", + "res.samples_u.shape\n", + "res.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1303.2x1303.2 with 64 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "labels = [r'$\\omega_0$', r'$\\omega_1$',r'$\\tau_0$',r'$\\tau_1$',r'$A_0$', r'$A_1$',r'$\\phi_0$',r'$\\phi_1$']\n", + "\n", + "fg, ax = dyplot.cornerplot(res, color='blue', \n", + " show_titles=True,\n", + " labels=labels,\n", + " quantiles=(0.05,0.5,0.95),\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [], + "source": [ + "fg.savefig(rootpath+'/git/rdstackingproject/plotsmc/Dynesty_withpointerrs_0001'+'nmax='+str(nmax)+'_tshift='+str(tshift)+'_'+str(npoints)+'pt_wandt_chainplot_lowres.png', format = 'png', bbox_inches = 'tight')" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 1152x1152 with 4 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "lnz_truth = ndim * -np.log(2 * 10.) # analytic evidence solution\n", + "fig, axes = dyplot.runplot(res, lnz_truth=lnz_truth)\n", + "fig.tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [], + "source": [ + "nmax=0\n", + "tshift=12\n", + "t_align=0\n", + "vary_fund = True\n", + "\n", + "#sampler parameters\n", + "npoints = 1500\n", + "nwalkers = 400\n", + "npoints = 1000\n", + "ntemps=20\n", + "dim = nmax+1\n", + "ndim = 4*dim\n", + "burnin = 1200 " + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [], + "source": [ + "#Fitting\n", + "#RD model for nmax tones. Amplitudes are in (xn*Exp[i yn]) version. Used here.\n", + "def model_dv(theta):\n", + " #x0, y0= theta\n", + " #Your nmax might not align with the dim of theta. Better check it here.\n", + " assert int(len(theta)/4) == dim, 'Please recheck your n and parameters'\n", + " \n", + " wvars = theta[ : (dim)]\n", + " tvars = theta[(dim) : 2*(dim)]\n", + " xvars = theta[2*(dim) : 3*(dim)]\n", + " yvars = theta[3*(dim) : ]\n", + " \n", + " #if vary_fund == False:\n", + " # avars[0]=0\n", + " # bvars[0]=0\n", + " \n", + " ansatz = 0\n", + " for i in range (0,dim):\n", + " #bvars[1]=0\n", + " #avars[1]=0\n", + " ansatz += (xvars[i]*np.exp(1j*yvars[i]))*np.exp(-timesrd_final_tsh/tvars[i]) * (np.cos(wvars[i]*timesrd_final_tsh)-1j*np.sin(wvars[i]*timesrd_final_tsh))\n", + " # -1j to agree with SXS convention\n", + " return ansatz\n", + "\n", + "# Logprior distribution. It defines the allowed range my variables can vary over. \n", + "#It works for the (xn*Exp[iyn]) version. \n", + "\n", + "def prior_transform(cube):\n", + " cube[0] = 0.5+ cube[0]*0.1\n", + " cube[1] = 8 + cube[1]*8 \n", + " cube[2] = 0 + cube[2]*3\n", + " cube[3] = 0 + cube[3]*2*np.pi\n", + " return cube\n", + "\n", + "\n", + "# LogLikelihood function. It is just a Gaussian loglikelihood based on computing the residuals^2\n", + "def log_likelihood(theta):\n", + " modelev = model_dv(theta)\n", + " result = -np.sum(((gwdatanew_re_tsh - modelev.real)**2+(gwdatanew_im_tsh - modelev.imag)**2)/(2*(error_tsh.real**2+error_tsh.imag**2)))\n", + " if np.isnan(result):\n", + " return -np.inf\n", + " return result\n", + "\n", + "\n", + "# Logposterior distribution for the residuals case.\n", + "# The evidence is just a normalization factor\n", + "def log_probability(theta):\n", + " lp = log_prior(theta)\n", + " if not np.isfinite(lp):\n", + " return -np.inf\n", + " return lp + log_likelihood(theta)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "21047it [00:41, 501.87it/s, +1000 | bound: 35 | nc: 1 | ncall: 88724 | eff(%): 24.849 | loglstar: -inf < -81.282 < inf | logz: -102.305 +/- 0.213 | dlogz: 0.001 > 1.009]\n" + ] + } + ], + "source": [ + "f2=dynesty.NestedSampler(log_likelihood, prior_transform, ndim, nlive=npoints)\n", + "f2.run_nested()" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Summary\n", + "=======\n", + "nlive: 1000\n", + "niter: 21047\n", + "ncall: 88724\n", + "eff(%): 24.849\n", + "logz: -102.305 +/- 0.213\n" + ] + } + ], + "source": [ + "res = f2.results\n", + "res.samples_u.shape\n", + "res.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 698.4x698.4 with 16 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "labels = [r'$\\omega_0$',r'$\\tau_0$',r'$A_0$',r'$\\phi_0$']\n", + "\n", + "fg, ax = dyplot.cornerplot(res, color='blue', \n", + " show_titles=True,\n", + " labels=labels,\n", + " quantiles=(0.05,0.5,0.95),\n", + " truths=[w[0],tau[0],0.9,1.24],\n", + " truth_color='black'\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 158, + "metadata": {}, + "outputs": [], + "source": [ + "#Fitting\n", + "#RD model for nmax tones. Amplitudes are in (xn*Exp[i yn]) version. Used here.\n", + "qval0=np.pi*w[0]\n", + "qval1=np.pi*w[1]\n", + "def model_dv(theta):\n", + " #x0, y0= theta\n", + " #Your nmax might not align with the dim of theta. Better check it here.\n", + " assert int(len(theta)/4) == dim, 'Please recheck your n and parameters'\n", + " \n", + " wvars = theta[ : (dim)]\n", + " qvars = theta[(dim) : 2*(dim)]\n", + " xvars = theta[2*(dim) : 3*(dim)]\n", + " yvars = theta[3*(dim) : ]\n", + " \n", + " \n", + " ansatz = 0\n", + " for i in range (0,dim):\n", + " ansatz += (xvars[i]*np.exp(1j*yvars[i]))*np.exp(-timesrd_final_tsh*np.pi*wvars[i]/qvars[i])*(np.cos(wvars[i]*timesrd_final_tsh)-1j*np.sin(wvars[i]*timesrd_final_tsh))\n", + " # -1j to agree with SXS convention\n", + " return ansatz\n", + "\n", + "def model_dv_tau(theta):\n", + " #x0, y0= theta\n", + " #Your nmax might not align with the dim of theta. Better check it here.\n", + " assert int(len(theta)/4) == dim, 'Please recheck your n and parameters'\n", + " \n", + " wvars = theta[ : (dim)]\n", + " tvars = theta[(dim) : 2*(dim)]\n", + " xvars = theta[2*(dim) : 3*(dim)]\n", + " yvars = theta[3*(dim) : ]\n", + " \n", + " #if vary_fund == False:\n", + " # avars[0]=0\n", + " # bvars[0]=0\n", + " \n", + " ansatz = 0\n", + " for i in range (0,dim):\n", + " #bvars[1]=0\n", + " #avars[1]=0\n", + " ansatz += (xvars[i]*np.exp(1j*yvars[i]))*np.exp(-timesrd_final_tsh/tvars[i]) * (np.cos(wvars[i]*timesrd_final_tsh)-1j*np.sin(wvars[i]*timesrd_final_tsh))\n", + " # -1j to agree with SXS convention\n", + " return ansatz\n", + "\n", + "# Logprior distribution. It defines the allowed range my variables can vary over. \n", + "#It works for the (xn*Exp[iyn]) version. \n", + "\n", + "def prior_transform(cube):\n", + " cube[0] = 0.5+ cube[0]*0.1\n", + " cube[1] = 0.35 + cube[1]*0.35\n", + " cube[2] = (8 + cube[2]*8)*qval0\n", + " cube[3] = (0 + cube[3]*7)*qval1\n", + " cube[4] = 0 + cube[4]*3\n", + " cube[5] = 0 + cube[5]*30\n", + " cube[6] = 0 + cube[6]*2*np.pi\n", + " cube[7] = 0 + cube[7]*2*np.pi\n", + " return cube\n", + "\n", + "\n", + "# LogLikelihood function. It is just a Gaussian loglikelihood based on computing the residuals^2\n", + "def log_likelihood(theta):\n", + " modelev = model_dv(theta)\n", + " result = -np.sum(((gwdatanew_re_tsh - modelev.real)**2+(gwdatanew_im_tsh - modelev.imag)**2)/(2*(error_tsh.real**2+error_tsh.imag**2)))\n", + " if np.isnan(result):\n", + " return -np.inf\n", + " return result\n", + "\n", + "\n", + "# Logposterior distribution for the residuals case.\n", + "# The evidence is just a normalization factor\n", + "def log_probability(theta):\n", + " lp = log_prior(theta)\n", + " if not np.isfinite(lp):\n", + " return -np.inf\n", + " return lp + log_likelihood(theta)" + ] + }, + { + "cell_type": "code", + "execution_count": 159, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x7fad571b9550>]" + ] + }, + "execution_count": 159, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 864x576 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize = (12, 8))\n", + "plt.plot(timesrd_final_tsh, model_dv([w[0],w[1],qval0*tau[0],qval1*tau[1],1,3,2,-1]).real, \"r\", alpha=0.3, lw=2, label='q')\n", + "plt.plot(timesrd_final_tsh, model_dv_tau([w[0],w[1],tau[0],tau[1],1,3,2,-1]).real, \"b\", alpha=0.3, lw=2, label='tau')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "26648it [52:33, 1.35s/it, bound: 1443 | nc: 1455 | ncall: 2546139 | eff(%): 1.047 | loglstar: -inf < -8.253 < inf | logz: -34.462 +/- 0.222 | dlogz: 3.727 > 1.009] " + ] + } + ], + "source": [ + "f2=dynesty.NestedSampler(log_likelihood, prior_transform, ndim, nlive=npoints)\n", + "f2.run_nested()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "res = f2.results\n", + "res.samples_u.shape\n", + "res.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "labels = [r'$\\omega_0$', r'$\\omega_1$',r'$q_0$',r'$q_1$',r'$A_0$', r'$A_1$',r'$\\phi_0$',r'$\\phi_1$']\n", + "\n", + "fg, ax = dyplot.cornerplot(res, color='blue', \n", + " show_titles=True,\n", + " labels=labels,\n", + " quantiles=(0.05,0.5,0.95),\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.6.6" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +}