{ "metadata": { "name": "", "signature": "sha256:f1873ef284d4fd7cd703dd6cc70b4fcadacc64355b44420d7745e672762e2365" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Using the autocorrelation function to find a periodic signal\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# use seaborn for matplotlib settings\n", "import seaborn; seaborn.set()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Standard ACF\n", "The first exmple data we will use will be Q1-Q15 photometry of KOI-63. We're using Kepler data as the example because the standard ACF requires evenly-sampled data. This data is pre-conditioned to have no gaps (gaps have been set to zero)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "data = np.load('koi63.npy')\n", "t, y = (data[:,0], data[:,1])\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(t, y, 'o', ms=0.5);\n", "ax.set_xlabel('MJD')\n", "ax.set_ylabel('flux')\n", "ax.set_title('KOI-63');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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YwO8Vi8U70u97PxkThFGS2cYFmkwpbGYm4nBcD6VKA0fn/Il5typzw4DY4lHM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\nKrhTHU7EphEXC7Ot4YP5DkWvOg1N5TLp4Do1DVrbM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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "# add up-directory to Python path\n", "import sys, os; sys.path.append(os.path.abspath('..'))\n", "from periodogram.acf import ACF" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "model = ACF(maxlag=30).fit(t,y)\n", "\n", "periods = np.linspace(0.1, 30, 1000)\n", "scores = model.score(periods)\n", "\n", "plt.plot(periods, scores, label='standard');\n", "\n", "plt.legend()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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WyzUCkViSpXiKvk7XK/alqcm3qn3SqPNkG8kcORHEZZi8/+Kw1r2qVsQ+rR6xV6tD7NPq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\nnQFGg5GiTII7NpwdJSpXaXKZQFBNVIVYl7vWem4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zW9oHmZgMcUmjVi4TEZHlobAGavwF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\nAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "model.period_search()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "5.2718590692384169" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##ACF estimation techniques; non-evenly sampled data\n", "\n", "To demonstrate the Scargle (1989) and Edelson-Krolik methods, we'll pull some data from AstroML. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "from astroML.datasets import fetch_LINEAR_sample\n", "data = fetch_LINEAR_sample()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "lcid = 10022663\n", "t, y, dy = data[lcid].T\n", "fig, ax = plt.subplots()\n", "ax.errorbar(t, y, dy, fmt='o');\n", "ax.invert_yaxis()\n", "ax.set_xlabel('MJD')\n", "ax.set_ylabel('magnitude')\n", "ax.set_title('LINEAR object {0}'.format(lcid));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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DQBMwYTD3wYPHqtnMPNZantp3KC/Jgqe+O3zsDJ/4wr+yoWdJw9zE3d3tkfWz4CF9HD1x\n6uNbb7iMNRu3c/T4COBFqfS/72ocx4lNG6dCuI+ttd5Srcgw6bqWgwePNcwYWm26u9urer5auKgG\nq/Y/Be7VWj8MvAP4CIDW+j5fA9AP/IrW+jHgIeDDxpgTNWifIAhCTQmiVDpaMl5NixQmFFJKceG5\nRVIpt2bpWboA8KInXNcVP6w6E6lpoAbYKKXndffvLJ5kpsFq1MdpJZVWptrHwfMrK6uJidN9bK2l\nf/Mgew8cxVrLhed0svbtVyTeWbWwj3O5HH2btnP0uKcA7mzJMLBqMUopP3LC87+6KKXhk1HR3d1e\n1ZtEer0MkmRGiCuu67Lu/p2suPMhVtz5EOvu34nruvVullAh/ZsHeXr/UVxrQSn2HDjKe9Y9xL6f\nHa5306qKUopVSxdg3RGsO8KqpQs8IWDrLn+R5aCC8MlN6Q2fjDsiCJRB8oELcaXR4tDTRBA+CDY/\nETpOhpx1+NT9u1IlDCil2Pa9ffn7dNv39gGwd3+R8MnhdIZPJgGZ1SZAkswIcaPR4tDTSKC9KfwN\nURk2bnsqNb9hOHxQKScfPpiOq0sPIghUQNLtdoIgxAelFM0zywREpWSosdYWXfkPHc+RUYx3ImzJ\nSpGvOiGCgCAkjKBaYuBpHbxkIE0G1lpOnbH59+Ht2Bw9vh09TRRGBbQ1N9HVOhq9Lv5X9UUEgQqQ\n0BYhbqy58XIyyuJF51oyyjKw6moZSBOEUg7YkIOndelomZGa31AphZ7XQS43QnCf5nIjdDRnuOWG\nS+m9/lLxv4oJNUsolEQapUKYkDzWb91Nzo6arHLW0rdpR8OFtiaRQKOz54CXP826Oay1tDVnueWG\nS1OlDVBK4TiZ/DU5zug9G/hfBfsJ9UNmtDKIZ7YQR8RZMPnkQ5OVg0XR1TaTP7/tdakS4iq5T8X/\nKh6IIFACGWwFQYiSrtYZeCGEMLtt5oT7C0JUiCAgCAkj7CwYIM6CyWJgyy6efX44H1b37PPDqdM2\nlksxLPdpvBBBoAQy2ApxRrJeJpdG0jb23Vh4n2bpf99VvOIXO8QJO0aIIFCGtW+/gq620E3c1sSG\nXkksJNQfpRQ9yxbki9b0LEtfyFmjkOYJMbhPO1uytDc7dLbO4N3rHuFddz7Eus2DkhY7JoggUAal\nFL3LQimGRRMgxIRcLsf6rzzB4WOnOHzsFOu/8gS5XGFlbyGOBNpGr/JeDrBY6+KQY9V1F6dqjFFK\nccG82WzoXcIvzmnhp/99LO8g+PRzh1NnDkkqIghMgKQYFuLILZ/5HidOWzKZLJlMlhOnLe/pf4Tv\nPXGg3k0TKqBv+SKyzvhaA5se/GFqJ8a9+4/4oYSj13x0+DQbvrI7tRqRpCCCQAVIiIsQJ1zX5cSp\nXNE89fd+a6+oWxOAUmpMHohgWxr9BICioYJKKZST4fipXOquN2lIQqGYUeqBEEFEENJFIz3RnqBa\n/Ipbm5tkfKszohGIKX2bdtC3aUe9myHEEMdxaJ6ZKZqn/qY3XiiZLxOAUopZM5yiv+HSxeenbmIs\nHYWV4f1vuSx115s0ZMSIIf1bBjl07CSHjp2kf8tgvZsjxJC7b/tVFKMmAIXL5z7wa1yz8Jw6tkqo\nFGstJ07lwLqjUQPWxeLw4PafplJV3nfj5bTNGq262DYrw8AqCXmNAyIIxIxS9bvT6kAkTA3HcXjn\nGzQ2N4LNjfDON2jRBCQQ13oRA9a6uCmc/MM4jsNtb7mUzpYMnS0ZbnvLpXLPxgTxEYgRo/W7Rx8O\npRRHhz0Hog09S0SFJuS5ZuE5LL50LoAMqAlDKUXzzAwnTtv8M22tReGm0jQQMH9uFwOrFgNyz8YJ\nEQQEIYEEE0Umk5lgTyGOWGs5edodJ/RDhge3/5Qll81LnTBgrfULuXnVXC/yq7mm7TqTiIhkMUJy\ncwuCkFYGtnrVXPNmzwNDrNkkCYXigAgCFVDLFKBrlxdJayzJjAQhVTRaLZNRs2dB3oThdOZNSBpi\nGiiDtZb+LYPs3e+psi48t5O1y6+I9CF1XZeO5gyHh04C0NE8E9d1RQUsCCljzY2X07dpO0eGRwCv\nIM/AqqvlWRdqjmgEytC/2fPgRzkQePDfHa0H/8DW3ew/eBLlZFBOhv0HT9In6jNBSB1KKbpaZ4J1\nwbp0tc5MnSYgQMye8UYEgRLUo1SotRbjf2f4dfR4TtRngpAyBrbu4tnnh/NC/7PPD6faZj6+JHET\n6yWPQCwQQUAQBKHGNKrNfNXSi+loduhodli19OJ6N0fwEUGgBPVw5hH1mSAIaWbbo/s4enyEo8dH\n2Pbovno3R/ARQaAMfcuLqLJ6olVlifpMmAy1jGgRqkcjCv0SPhhfRBAog+M49F5/CZ2tWe8Bvf6S\nyLNhKaXoWbaAzpYsnS1ZepYtSM2gIJNW9XBdl3X372TFnQ+x4s6HWHf/Tik/nDAaSehvVFNIUpDw\nwQmYP7eLDT1LgNqUAlZKccG82Wzord13Rk09wjDTjpehbSifmW7PgSHWbNxO7/WXpHIiSSOB0L9x\n21MAqRL6K8Vai3VHFwiNdv1xQTQCFRB476f9O6OiHmGYaaYeES1C9QkL/Rt6l3DBvNmpeeYLKTSF\nWGvJ5UbAuhw9foaBLbvkvq0jIggIkSKTliCUJ01CfznCphBrXRw/bFL8BeqPCAKCkDAaLT2tkA4C\nU0hHc2ac8CP+AvVFBAEhUpIyaQWOjK7r4rpu7B0b6xHRIgjTIWwKicdTLwSIICBEThImLWst/ZsH\nWXHXw6y462H6Nw/GWhCoR0SLIFQDx3EaLnQy7qg4D3YVYA8ePFbvNqSe7u52ptvPP/n5Ee7e9iQA\nvcvi59m+bvNO9uwfyg9C1lq62ppq1tap9rF4W1dONe5joTyV9rHruqzZuJ2jx72CS50tWdb3LBZh\ntkK6u9ur+sBLrws1IQjDjGNJ5WrGONfapNAojmZCukhzvpQkInkEhJqR5gfddV0Gtuxi7wE/V8I5\nnfQtXyQrHEEoQhrzpSQZGaWEhqca6V6DBD/5XAl+gh8JhxKE0ohGKx6IICAITC/dq+RKEAQhyYgg\nIAiUtlnGPYxQEARhuoiPgCAw3mYZhBNWYvMPciV4uf9DUQetTRIOVQUkMkIQoiXS8EGt9ZXAncaY\na0PblgM9xpirCvZ1gHuAS4BTwLuNMRMVrJbwwRrQiGFX6+7fWXxiL1HUx1rL6o2PcXTYD4dqzbKh\nZ0nFk1cj9vFEVNsBU/o4eqSPa0Niwge11h8APgfMDG1bCLyrxCHXATN8AeFDwPqo2iYI5ZiKzV8p\nRe+yUIIf0QRMG3HAFITaEKWPwDPAMvCySWqtzwLuAG4LthVwNfAtAGPMvwFXRNi2SSF2YqES4pwr\nIWmIA6Yg1I7IfASMMdu01q+AvNr/C8Bq4GSJQzqAodD/Oa21Y4xxo2rjREhseGMyHZu/aAEEQUga\ntXIWXAS8EvgsMAt4tdZ6gzFmdWifIaA99H9FQkB3d/tEu0yZj2x61J8MvIl/z4Eh1n52B7fffCX6\nvLMi+944EmU/x5G7bn0dN/3Jtzh87AwAczpmcO9H3xipENhofTwRCy6Yw5P7Do8RxuZ0zOD2m6/k\nZS/rmNI5pY+jR/o4edREEDDG7AQuBtBanwc8UCAEAOwAfgv4qtb6V4AnKzl3VI4p1lqe2ncoLwSA\nt9o7fOwMn/jCv07KESzpNKoD0KrrFuTrI6y6bgEvvjgc2Xc1ah+X45brL6Vv03aO+A6YXa1Z1r33\nKjKZzJT6Svo4eqSPa0O1ha1aCAKFxjwV3qa1vg+4HXgQ+D9a6x3+RzfXoG2CUJLA5g+i8q8HSim6\nWmdy5KXTAHS1zpTfQRAiQKoPlmGyIWRpRaT86JE+Hk+1K0JKH0dP0MfBvFKYA0IEueqQmPDBNNC3\nvEja2Z7K0s4K45HoC6FSqlkRUqg9QUKuFXc9zIq7HqZ/86D8ZjFGMguWwXEceq+/JG8n7l12iUQM\nTAGJvhCExmJg665xjtZrNm2fsjZHiBYZiSdAYsOnT5ITw4gWoz4EIZzjKkK2SLKmuCPanOQhgkAF\nSKnMqZPUxDCu67Lu/p2suPMhVtz5EOvu34nrTpzSQgSH6iGmOUGoDSIICJFTalocydUtV9SETFaL\nYa1l3eaQ4LB5pwgE0yQwzeXTNl8/apoTgSu+iDYneYiPQEwoNail4aGxrguOGuP9jXWxMZUDRrUY\nY3NIBFqMYjkk+jcPjrWJ7h9i9d2PNVyESbWZP7eL9asWA55gYK2lf8sge/f7/ibndrJ2+RWpeE7S\nRN/yRazZuJ2jx4McEJ42R/yC4okIAhVQyzKoa+95HID+lVdNsGdyUEqBdUFlvA3WBeXQ1JSO228q\ngoMwMcWcTC2WvQeOicAVcwJtzp9/7QcAY7Q5QvyQX6YMU7UTT4VCP4S0+CUopbjo3C5PlevmvFeF\nefvrhag240Gheebp/UfZG8rrAcnwN2lEXNflbx/5MUPDZxgaPsPfPvLjyMZOYfqIIFCGWnq7Bzbm\nF4dO8OLQiVTZmPuWL2J2+6x8P85unxV7p6/JOKqJ4FB9SjmZCskgyZFCjYgIAiWotbd7/5ZBP4ua\ng1KOp/Lc+FjsHpypOGkFasKutiYvM1wC1ITlHNWKIR7u0aOUGnf/icAVP5IaKdTIpMNIm3BG424L\nbMzD8bExT9dJK4l5+yfTZkk+VV2UUlx4buf4FMOtM8hZy/BJT80sTmjxppb+VcLUkaenBKLuHUv/\nZk9jkVf1+U5acdNY1BNJPlVd1rztcrpas3ktQFdrlvU9i3n/Wy6joyVDR0smEdqlRkMphZ7XQS43\nghc8bMnlRuhozjTk2JkERCNQhlqFwJRc/bTFw6Fuul7xSUwxPNU21/u3ShudrTPy1Qc7W2eMcUID\n+NtHfhz7e6khUeA4mfzz4DjKqzsrxBJ5esowWTvxdFi7/Aq62kI25ram1Kwsk+g4lMQ2p431D+zm\nueePo5wMysnw3PPHed/6R+V3iTnWWkyR6I6h4znxEYgpIghMQK3UvUopb/Vvcyibi4UmIGA6ZpIk\nOg4lsc1po1i+eoCcRX4XQagyIghUQC1i+q21nH92J13tzXS1N3P+2Z2xGtjEK14QhEoITJ3jFg6t\nowuHwO/DdV1c15WU0XVGfARixsCqq+vdhKJM1Ss+0CbsOTA0ZnsSEgrtOVDosR7fNqeNYr8BQEZZ\nctbK7xJz+m4s4l+1avGYWhGe+c3zwbnI98GR37A+qIRLYfbgwWP1bkPq6e5uJ+jnqYQDjYyM8N6B\nR8hZ75iMsvxF37Vks/GVQ13XHTOQdbZkIw1TC/ex4JHL5ejbtJ0jw8FkkmXd+67iA5/9v1P6XaSP\noyfoY2stP/n5ETZuewqAnmULmD+3Kz9urNu8s6RztGgZJ6a7u72qEpOYBoRJMRUzyYYHniBnnXyy\npJx1WHvP47F28Ao0IBKmVj+UUnS1zvRqU1iXrtaZZDIZ+V0SgFKKC+bNZkPvEjb0LuGCebPHTPqF\n/h/hvCkJX5wmEnmChEhJquPdVHOli62zegxs3cWzzw/nowaefX6Y1Xc/xpe/tVdy2CeEtNRMSTsi\nCAhCESYTPmitJZfLcdf9/54vUHVXhAWqGoFSq8Yjw6d59vlhCR9MMJU4Ewq1RQQBIVKUUuhzOsY9\n9B0t8c0yNlkthrWW3j97lL0HjuUnqL0yQVUd6zsJhr3Ok6BdEsbTd2ORKKRVEoVUL0QQECInKEGc\n/98vRZwW+rcMcvxULnHmjzhTatXohZzlCFLXuim7lxoFpRQ9yxbQ2ZKlsyVLz7IFsVwUNAoVCwJa\n69lRNkRIJ9ZazM+Oeas4N4d1vQnz2AmXT3/1+7EcxCeTQKlU4pvRHaJubXopXDXObptBy8xM3uk0\n/8Jl6eLzZSJJEOWcCYXaM6EgoLW+TGu9F3hSa32O1nqf1npRDdompABrLViLcjJ5tblyMgAMnzgT\nS0EAJpdAqVR5XGxOVjrToHDVuGrpxZw87Y7TvKAyPLj9p7G9l4TSiDNhPKhEI3A3sAx4wRhzAPgD\n4LORtkqILZP1ii+05+b/d3P+6i6eg0CldSYC7QEoL8wt2I7LR96xiAvmiSJtqhRbNQqCUH0qEQRa\njDFPB//jh7mvAAAgAElEQVQYY/4FmBldk4Q4Yq1l3eadea/4dZt3ViQQKKW46NyucT4Cna0zWP3W\ny2MrCEDldSb6li9itl8wyro5sDk+/I7LZeKqEoEAKd7mghANlQgCL2qtLwv+0Vq/HTgUXZOEONK/\neZA9+0PhdPuHWH33YxV5xa99+xW0NWfzPgJtzVk29CajsmIlqktPe3ApXe0z6Wybwe2/ewW/dM5Z\nMjFFgHibC0L1qUQQWAlsAl6jtT4KvB94b6StEmLFdJMCOY7D6rdeTmfbDDrbPE1A2rLBBdqDT/de\nI5qACBFvc0GoPhMmezfGPANcrbVuBTLGmKGJjhHSy1RqDcDoRAmkTggIkAkpesJ+A8H/giBMj5KC\ngNb6kdC/FlD+dgBrjPm1aJsmxAWlFK+a18Ge/Ufyk3gul2N224yKbLOu6zKwZRd7/UpjF/qVxtIq\nEKSFUpqeOEy+cWiDUJrg3ilcOMjvFk/KaQTW+n97gSHgC0AOWA6I7rPBUAocZ9TL33GUt7ECgnS9\nSnkTf5AWtvd6qTSWBPo27QDiWyJbiB9SZjhZlFySGWMGjTGDwGuMMb3GmO8bY54yxnwY+OXaNVGo\nN9ZaTEFdeKUUQ8dzE/oIJLXokODRv2WQQ8dOcujYSfq3DNa7OUJCGNg6KvyroCbEJkm5HVcq0c3O\n1Fq/OvhHa70QyETXJEEQ4kD/lkG/Zrw/mO8fYvXGyiJFhMZFygwnj0oEgdXAv2itd2mtdwPfAFZF\n2ywhTkwm5W41jxXqhwzmgtA4TCgIGGP+GXgF8B7g3cArjDE7Im6XEDMmk3K3mscmgdFiOC6u6046\n+2IaqNU1S1/HH0n8lDwmDB/UWn+RUNQAYLXWGGPeFWnLhFgRpNy9e9uTAPQuK55yt9rHJoE0OkYF\ng7lnGvCuw1pLV1vTmMG81hEhaezrNNJ34yLWbNzO0eMjwGjipzQ992lCTSRNa61vYrSG2gzgzcBe\nY8zakgfVDnvw4LF6tyH1dHe3E/TzVPMITPfYOLNu886SE2alWo9wH8cF13XHDOadLVnW94wdzNfd\nv9N3Cgtde2tTZBEh0+nrOPZx2gj62HVdfvLzI2z0hf8e//cRQaA6dHe3V3UQrcQ0cK8x5j7/9Tk8\nQWBxNRuRBEQl6TGdamFprDSWZlv6RFn8ah0Rkua+TiPbHt3H0eMjHD0+wrZH99W7OUIZJjQNFOHV\nwMur3ZC4IypJodGQLH7CVAmHDwL58MFKtWRxTmaVRibUCGit3fALeAT4RPRNixcSFysUoxGiIkpp\ncmp97eKElgyqqbnp27Qjn9BKiI5KTANOwetlwOYatC02iEpSKEfaoyLKsfbtV9DVFrr2tqZIK0tK\n9cHGQZJZ1Y5KNAL/t+D/DCC/iiD4BFERna1Zb3V6fbqiIsqhlKJ3WejaI16ZS/XB+FMNzY0ks6ot\nJaMG/KJDv1rkoxzwd8aYGyY6udb6SuBOY8y1oW3LgR5jzFUF+zYBfw2cB8wEPmmM+cYEX1GzqIFq\neIYnFfG2rozpREUkvY8rufZqRo1M5VxJ7+MkEPSxtZbVGx/j6LAfcdKaZUPPkop+L2stK+58CNR4\nYXoy50kz1Y4aKOksGEzeWuvPGGNuneyJtdYfAN4BvBTathAolX/g7cBBY8zvaq1nA9/Hy2IYCyQu\nVpiIRh6cyl17FLkGGrmvk0LP0gXc8eVB//3COrdGKEe5MsS/aYz5B2C31vr3Cj83xnxpgnM/AywD\nvuyf7yzgDuA24HNF9v8q8Lf+ewcYmbD1NcRaS0dLhiPHTgLQ0TIzUt+AtMbcC41HUH0yyEkm1SeT\nTyVj3/y5XXz+g78OTG4cqzSZlVA9yonkQYXBawtev+b/LYsxZhv+ZK61dvDKGK8mpCEo2H/YGPOS\n1rodTyi4vcJrqAnrt+5m/8GT4GTAybD/4En6Nu2ous3KdV3W3b+TFXc+xIo7H2Ld/TtxXbeq3yEI\ntcJay579R7DWxctLZrHW5cjwGXG0TQGlvPqDSBPHcXAcZ9I5RNYuL+KE2hOdE2qjM2FmwemgtX4F\nsBW4BfgicBCYhZeL4AvGmNUF+58DbAM2GWPureArajKKWGt5c9/XKSY3zW5v4r6PvalqUupHNj3K\nk/sOj5GE53TM4Pabr0Sfd1ZVvkMQaoW1lt9cvQ2lMmPuaaxLW0uWzX/yG2MmCVntJQNrLX94z2P8\nYN+LAFx6wVl8cmX1bPfWWv7juRdZ++ffA6D/lmt41Xlnyf0xSlU7opIUw28EPgnMCX25NcbMn+jk\ngSBgjHltaNt5wAPhbf72/wV8F1hpjHmkwvbXxFmwVs4r4e8pNA3U00mmWimGhdKk1ZHNWsu77nwI\nVXBPW2tRysVa7z66KOIaBZDePq4HpZyn/2jFrzCnZca0zx9oQQvHG/HJ8qiZs2CIu4H3Az9iaivw\nwmNUeJvW+j7gD4E1QCfwUa31R/2P32SMOTmF76wqtbRZeamLc2OKuqgiAkitsdbSv2WQvft9h69z\nO1m7/AoRCEKkTUiqWnY3a3EL7mlrLY4zqiWYbOY5oX6M5lUZHZeCvCp3fPHfGFi5uGrPwNp7Hgdg\nYNXVVTmfUJxKBIGDvtPgpDHGPAtcVW6bMead/tvb/FcsqUXUgFKK5pkZTpy2oQfJonBZuvj8uk4w\n/ZsHx6YM3T/E6rsfE4cval+Br9YEg3H/yqsm2HM8xe5pa10cNaoZCPYLEnRJeJgAnpPpYd85e2DL\nLvqWL6pzi9JLJSPVY1rrDVrr12utrwlekbcsZtQikYm1lpOn3fwA6alPFagMD27/ad0cq2pdXCZp\n5L3ilQNB+umNyU8/HdjuC1+TIXxPh89rAdfNETgQum6u4e+jpFAuYdDtN19ZlXExeKaUk0E5mdQ8\nU3GlEkHgSmAh8GHg46FXQxEuwLKhdwkXzJs9pUFxosHOq3AoA2RSaAQhqdqVNkd9BJyxrxhovoTK\nKJXquRoOzdZa9pR4pj791e+n4pmKGxOaBowxr6tBOxLDVAapSlXHcTUNBMVlitadn6aPRNrs6mki\n8At5cegE4DmITdYvJHzvhM8bhJSF9wNP87XksnlyP8ScQEO6cdtTAFXVkHpRJbaoX/zwiTOjmlKh\nakwoCPiphi2jP4sLnAD2AJ8yxhyOrnnpIK/mCpfkLJJQZVSNOtYJJw4DZN/yIj4SPVP3kUiLXT3N\nyU/C+d6BfL73yTr0rX7bQt478Ag5P0Igo1xsCWWkdS2u6+bvgyT3X5qJskR13nekcOVvXVpnZeSe\niIBKRt09wJPArXjOfIPAUeC/8JIECWVIi+q42oV10mRXT2NFvGpW3NzwwBPkrIO3llC4ZHCUzZsc\nPHOYiyLH0eNnePe6R1i3eVASaSWAqfiNVHLOC8/txHVHGDWRjtDR2sTqt14ugkAEVDKS/4ox5jZj\nzJPGmB8YYz4IaGPMBuD8iNvXUNS6vvtkmT+3iw09S6ad4SstwlGAVMQrTanMgmdyYEO+MODi2lF/\ngb0HhvKZO6vtoyDEH0c5OE42fz84ThYnBmHUaaWS8MGs1vpiY8wPAbTWFwOO1roFmH7miIQw1Zjq\nydrXq62CrzYywY0nSjVpvaimycNa63l/h/xerM3lt3nPlhonGB4ZPsOnvjyI6z96STUfCZNjdKFQ\nkKfguISXRkUlT9QtwD9prQe11rvxKgL2Ah8DJio8lDrW3vN4Pq66UvqWF1Ed9xRXHTdCbfu4az6m\nShRq0npSrXzvqsAxECjhLDgWa13PryAF5iNBiDMTzjDGmO8C84HfB24CXmWM2QF8yBhzV6StixGF\ng/xkB/3Olgw2N4LNjdDZkim7b7VU8FFQLTVtpcJR2I4cfgnRo5TyBDObQ9nclIW0ckcEv2Xh7+pl\n1FTjcmok1Xwk93HlhBcK4VfSFwpxZkJBQGt9IbAB6MFLNfwFrfX3jDENdRdba1m3eScvDp3gxaET\nrNu8s+IHeWDLLp4LVS587uDJCVc2cVtdVrsqYqD5aG92aG92JtR8TEUTI0yf+XO7mN3RwuyOlikJ\npcW0P+C5DOZyYWcwF2VH76eutiYvNXHKcmqUqtYnjKVv+SIyKvAfsWSULalFFaZPJTrnrwCH8ZIK\nPQG8DPhmlI2KI+FQKqWcfCjVRGrKqTrGxW3FUG0v/5GREQYe2M3Q8BmGhs8w8MBuRkZGxu1Xjex2\nwtQovAenek8W0/7oeV1+rQHvecpksjTPcnBzI1jX0z40zxz9PA1Jh/q3DHLo2EkOHTtJ/5bBejcn\n1gxs2UXOqvzvnrNKzEIRUokg4BhjPgZ8G9gN/DbwhkhbFTOmG0oVZAu01sVat+zKptor72oQhZf/\nLZ/5npc4yU8heuK05T39j/C9Jw5Us+lCFehfedWU6gwEFPq99CxbgPnZ0Lj76cRphVIwu30W55/d\nWTQ1cb3TbU+VqS4kGpG0RRUlgUoEgWGt9UzgP4BFxphTwC9E26z0oJRi1gwnb+McTZaRK7qy6S+6\n8k7XgOG6LidO5cbZf1EZ7v3W3qKCT9w0JI1ANbUxlfq9qND3lvq1R3LJyi9QzZwMghAFlQgC9+NF\nCvwD0Ku1/ibwn5G2KmaUK7IxkfOKtZYTp3Jj1KCOkwEUf/PIj8ed0xSVhHN1HTCi8PKvtKbCdHwz\nhHgRFiYKnyfXdXFwscrh0LGT3u/slysOsNZi3RxWEg2lmumMt8LUqEQQ+Bs8IWAl8F3gbOAHEbYp\nlkw1lCqsCQhQSqGcDMdPjZ/84roKWvv2ItffO7WoBsdxcJxR+1/wws3xG1eeM8ZpUFSq6aQwG2PW\nYYxNeM/+IVAKQg6EWBeUQ1NTJelP4oNMbJOnWqGrQmVUIgj8E3CZ//4A8CDwUmQtiilTDaXyVN7F\n92ttbhp3jriugoLrz+c3mMIANjZsqohwlMmy/UfPjwkpE5Vqelm19GI6mh3aZylydmwugUAYtNbi\n5kY8J0Jr6Uro5CkT2+SoVuiqUBmViNbWGPOuyFsSc6y1nH92J13tzQCcf3ZnRVWwPLV6B3sPHBuz\nvbM1yy3XXzrueBWsgpSfayBGq6DAzguTy55XWGBIz+uIpH1Cstj26D6OHh8Z8xyNrUapAJsXpLMO\n9K+8mmy2/s/CZLHWsuq6i/nU/bsAWHXdZVJFrwxTHW+FqVHJE/V1rfXvAw8B+fguY8z+yFoVYwZW\nXT3pY9a87XLe0/8I1k+torAMFBnQPBViF3ueOwxuDvAeiNlt8VkFTaUNhdUX9/7sGBllyRVMAIVp\nl6uZ5laIFwNbR+8JpWBk5AxKjVYdzOVyZDMK146mJs5Zy9p7Hh9XtTMpzJ/bRWfrzPx7YWKmMt4K\nk6cS00AnXkKhh4BHQ6+GYjoe1BseeALLqC3c4rD2nseL2rnXLl/E7PZZ+aiB2e2zWJ9gFWI4FMh1\n3XzGuJz1YsIDSmUWFJVq+ihl8gk71Crl4Nrx5qOkhpAppRjYuosjw6c5Mnyaga27RJAtg+QPqS2V\nCAI3AC8zxpwffkXdsLQw2ZjYIOa6q63JW/mmoNaA63pZ5II8Cjnf3tsyM+NV7CtTU0FshenHWltR\n7YEkI06vQpypxDSwD5gD/Dzitgg+U7XFxxFPkrdYq/ITveu64OZ43WVzuf7aC/P7lSJIcxu8F5JN\nEI5aWJEzfAsEGiQoMB8l0Cw0qgEpqKY3LNX0hHhQ6VLzaa31Dq31I/7r4UhblSJKhg61ZOlZuiD/\n/7hc7ClRhbmui2vVuDwKynH4x8efq9gBKC39MR3SVLgmnHZYKUXWUeOeka7WGbQ1jxbo6mptYv0q\nyTcvCNWmEkHgDry0wrcDHw+9hAopjJnubM3Sv/IqNj34Q9Zs3J7oAX0iwlXkAoI8ClY5E6ZPDvwK\nCl+NTBoK1xSmHf7wOxYVzVNx2w2XeuajFi81cRKFQaUUukhCro6WDD1Lk3lNQrqY0DTglyEWpoFS\nip5lC9i47SkAVl73GtY/8ASHjp0EPK/6vuWL6tnEyCjn3xCMf4Gw4G2TQbEcQeGa4P3a5VfUuUVT\nJ2wCA+hZuoBPfmnQf78QpRQXzJvNht7km8nWvG0hfffs4OiwF3ilcOl/31WJDIUU0keyvdASQnhA\nW9+zmG2P7uPp5w7nV8o/eu5wah2HHMeh2a+1EGCtxeZGePnsFn6//7usuOth+jcPFtWKeFkIx78a\nkTQ6nIW1RfPndjGno5k5Hc1j1P9pMAsppTh56kyo8Jg7zkFSEOpFY46odcB1Xfo3D7Lizod4ev+R\ncTbzoy+dZsNXdqfSRHD3bb8KdjQvgpsb4cLzuvjvI6dGJ7UDQ6zZVLrMaJrNJ5WQ9iyLwWQfCHpx\nnfyneh/2/tmjnBrxfGU8H5ksv7/uYam2KcQCEQRqRJBUxzI+JrZU7YG0OIdls1lueuOFfppYF+Uo\n9h4YX4a22KQmRYcag7jf69MpDx6utgmj2RPLVdsUhFoigkANKJZLoBiFtQeCwXDNxu2Jdyr8tz3/\ngwpWQypT8XWkUR0+FcIVIMOv6VSAjCP9K6+if+VV9W7GOAaKlgcvrcEqxFKi4qabzOdZSBciCNSI\nYBBQarx6MRjQ3/+Wy8YN6ANbdnHo2EkOHTvJwJZdtW52VShUa49bGVG8rHHa1eGTZc2Nl5NR3iQC\nloyyDKy6OhXhdHHOJDfZpGCFKKV8v4Ac4ypuKvjpfx6N+hIEoSwiCEREeLJXStE8M+MnFPFKrVq/\nlgBAW3OmaEnf/i2D/CgFToWu644rr6yUM6bEbKkUw8IoA1t3jynVm7OKvjJ+FUL1mbJWzo53evRM\nglk2bnuq4YRaIV6IIFBlitkSc7kcJ07lsDbIlIa3QvDLq956/SXjzmOtZc9z6XAqXL91tycMFLR5\n1gxF6yynZIrhksmYElqKdjpYazFFV6W5htSO1BKlFHpex7g02R3NmYruQ6UUF503u8wOVW6wIEwS\nEQSqTClbomvtGJWgk/GTp9gc55/dmZ8og1e5RDyFToVxJlCrOk5mjAYA6zKzqYnP3HJN2SJCUnRI\niAWKvMd/8JrMBL52+SKyThFzWAMKtUL8EEGgipSzJTrO+EndyWRpb2seM+Gvvedx1t7zuPd/icGh\n0KkwCQTtDbQgwbaJbMFSdMhDKcWsIvkYsDmWLj4/MX0S9+iAYnjP9fgol6HjOT791e9X1H7HcfjQ\n2xfly4uDZw4ToVaIAyII1IziA3U24+Tjp8MDjeM4XFQkLWkpp8K4Eni75/0EfAEn46iKUsZaazn/\n7E662pvpam/m/LM7Yz9xRIG1lhOncuO0KhaHB7f/NHF9kqQ0yZ7AVbx/h0+cqbjvL5g3m9t/7wov\np4bNJTZlspA+RBCoImGbdvjV1dbEK17WVtZLvli8fN/yRWOKrpRyKow7fb5aNPBzcJwMOavY+OBT\nFTu6Day6moFVV0fc0niTj6Zwc3ln0yROJEGa5EPHTtK/ZbDezZmQ4Pkcl+PDzdEyM1PRbxBovl55\nzhzmdLQwp6OFC+aV8RsQhBoigkCVWf3WhWSU5xTohXh5OcX/6Ob/j67WplHhoMBLvli8/JqN27nh\nmvnY3Ag2N8JtN1xa12ubKkopcpZxqtUgDDDwjwgKChVGXMQ1rKyWBJqVwPckeCUtj0AS80Iopbjo\n3K4xkT7WzdHZOoP3/87CMX49hfdvmKLCRMI0OUI6kYoXVWb9A0+Qs6Nq/py1rL1nB6uWLqCrdQZH\nhk8D0NU6I3/MaLx8Qb3y4yN8fftP6WqfhVIqrxZPyqAfplyLrbW+k6UXT33ROZ30LV+UyOuMkrVv\nv4LVGx/LF67pbM0mqpZ9yfvcFwjjfC1r334Ft/zZdxk+6QkDrbMcfvGsZj75Ja9GRsusLCdOe2ab\nie7fOCZMEhob0QhUkXCIVyDtByFed27ezbPPD+dXQs8+P1xhZjLF+p7FrO9ZnNjVcKkyrJ0tXvjV\nwNbd7DkQWiUeGGJNzFeJ9UAcJ+uHUor3/85COltn0Nk6g1/obOHp546AUljgxGlL4EpQ6v4V7ZYQ\nV0QQqDLF0oi6rltcNe5nJgNKx8v78fVJHzjWLl9EV2soDLC1ifU9Szj/7E6Jj6+QODtOVqLmTnJe\nCKW8CqKfvuUaNvQu4bn/eckLIfR1XYXP/OGXzsj9KyQGMQ1UkSCD4InTYfW99SvveTJX2PYdZu3y\nsWrfIF4+zoPjZFDKixL45H07AehZtnDU+Y3ipoNTp3NFtgpxcpp0XZeBLbvY65t1LvTV4qVKRSf9\nPg+0fYFQ7j3PFsfJjt7PviPhyROn6ttYQagQ0QhUEWstJ0+740wDysni4GUjC1YNXmYyJ78SSrva\n11rL1777DFYprFLe+5CTVTGP7BMnT8mKKkQcVctTKcbTs3TBaAjd0gU1bG11COf4sPlEYeNzhJwa\noej9K06CQtwQjUCV8R7y0ZKjXobA8bkCHGdswqCw2hdItGNgMQa2ehOGp0717aibtrPquos9bYB1\nQfmhktYF5ZTKpyTEhNEEWuOdXIs5/wVC3/lnd/K5D/xafv8k3OfBxB38vXBeB3t/dmxS58jlcgxs\n3Y3xtSf6nE76brycTCYzwZGCEC0iCFSRcqYBl/GrhiHfDr6hZ0l+e5zUvtWinLf4pq//EMdRuK7N\nZ12z1qJsjt947bklVcxCcig0H+hzOvnvQydwHCcx93thZMusJrCui3IyXjnhUKRQoNFqbhqrsRnY\nutvPUOjd03sPDNG3aTu911+auNwgUVBKSxJ3ITENRDrKaq2v1Fo/UrBtudb68TLHvExrfUBr/aoo\n2xYFYdNAgKdGnFjij6PatxZ4q0R/AAji4wGrHLb/6HlRocaQcLKsotEgBc5/YfOBRfH0c4c58tKp\nxCQUglGNVlBBNBD23dyIFy1QkGMA5TCreeboNikaVTFBmnWhdkQmCGitPwB8DpgZ2rYQeFeZY5qA\nvwSGo2pXPVBKkVFFCo4kLBnMVAmS4RRmXMxfv+OVJM5nzLMujuMwknMnPrlQc6y19G8eZMVdD7Nn\n/xGyzuh93dXaxPpVo4myCutvWOt6FTX9qppJSCg0qtEaXfEDKCeDk/GcBK2by9fRsG6O2W0zGuLZ\nriaNuhiKA1FqBJ4BluE7hGutzwLuAG6juJM4QD/wWeC/ImxXZIQnvIBgwvvQ2y8vEj63uGFUgmtu\nvJyM8hwlvYyLloFVVzN/bpenYs005TUCKtPkCwUiCMSR8OrYcTKcGXHB5mid5ZTNnx/2tg8IJxRK\nwqo47CswGgHkoJxM/v6d09ky7tkuNzaIwDAWcaasPZEJAsaYbcAIgNbaAb4ArAZeKra/1vom4KAx\n5jv+pkQ+GavftnDMCinrWPpXXsUrz5lD7/WX0NmaHZMfoFFYv3U3OavySYNyVtG3aQc/+fkRbxD0\ntQCOrx1AOTQ1iQtL3ChcHQM4mSwWh4yjmD+3a9xEXzgBJg2lFHpeRz7qRyn8/CDh/0dwsLS3ZOkp\nMbH3Fc2l0TiLgYkoVm8lyfdNkqjVTLQIeCXean8r8Gqt9YaCfW4G/o/vU3AZcJ/W+n/VqH1VY8MD\nT3BmZFTNfWbEZe09j/OTnx9h/twuNvQsabjSo+XKM2988CkuPLcr72Bl3Vy+FoOslJJDOTVuMAGG\nw2oDkpJQCKU8k4YvyHrFs7L5/zPZmbS1ZLll2YKSz3aQS8O6I1h3RKoPFpDEOhRpQUUpcWmtXwFs\nNca8NrTtPOCB8LYixz0C/IEx5j8m+IpYiYvWWt7c93XACakNvQd9dnsT933sTal58AvDqYLrKnZ9\n4X4pZHZ7E1/8ozdw8ye+zaEhrw7DnI4Z3PvRNzaUxiRJ3L7pe/xg36ExNvM5HTO4/eYr0eedVfQY\n89yLfPKv/9V3DoVjJzznuiQ8F4X3b5BEKPD+94Qb30nYWi555Vl88n1Lxt2/ruvyh599jB888wIA\nl77yF4ru14hMNEbE/R6pA1XtjFroXgsnaxXeprW+D/hDY8yBqZz84MHJxfJGibU2nyav8KZ1XcvB\ng8cSeTN3d7eP6+cgJKywUFCpQe3Cczp9aX908uhqa2LVdQt48cVhVv72xdzxZc+DfOVvX8wLL7yU\nyL6aKsX6OK7ccsOlrNm4naPH/eyArU30v+9qHMcpeg2u6/L5bT/gyDFP0Du3u5ljx0+jgFXXXc4L\nLxS1FladqfZx+Lku/vlorhAUPLnvML/3x9+kd9klY7QDd93/7zz93JH8M/L9H7/A737sn7glReGD\nUfRxksfOqOjubq/q+SLVCNQAG7fBc939O31HqtCE19pE7/WXJPZhL/Zwr9u8s+jEXjj4BbiuO2by\n6GzJsr5nMY7jTEq7kFaSJAhYa/nJz4+wcdtTAPT46vBSv9dd9+/04+dDXvc2R1tzE39+2+uA2vzW\n0+njwvs9lxvJJ8cKawfChKtDWmu5+VP/7EdLhPvBpXVWhrvff20q7vdq9vFEY0oj093dXtWbRXRS\nVaYRHIKKOYxN5P0d2Ec7W7J0tmTH2EcD+3LgLNgoYUNJ9Y4OCvBs6F3Cht4lXDBvdtlIgWLx88rJ\nks1kEnP9fTeOfa5nt82gs7VyhWqpiAnlZDh+KpeYfoiStcuvoKstNHb6dSjSNHbGFXHLrjKO49B7\n/SX5qoK9yxorOqAUweSxvmcxQEP3SbFCPXfd+roJj4tb5rVpf68q72QYJwJBNqwFAdj44FMcGz5N\nLpQmObySHaPdKnGdrc1NieiDqAnqrdzxJa8wWe+yy6VfaoQIAhEQRAdAOtXbQUhYURNICe/vyVap\nSzNBpr1AnbznwBA3/cm3WHVdaY/zMH2bdnjnSUB6XqUUs2Y4Y9JuW2tRuCxd/EuJeT7CWpDgf4AN\nPUtwXZe+TTvG+EysX7V4zL2tlOKiUs/M9TGPmKgh8+d2MbujJf9eqA2NNwrXiKSsdKbKZE0gU6lS\nl0ZKhVIePlZZ/fr+LYMcOnYyMel5rbWcOOVlixzd6GJxeHD7TxOnEi+m3nccp6TZK0zf8kW0NY+m\nG8Xmn5cAABcPSURBVG9rzqTObDgdioWWJu3+SCoiCAhTIjCBVJIgqVwegaRklIsDSY2zzq+AgxTS\nxFtTVpgKe6IJqVKfCaUUt91wab4E8203XBrrfoiCSvq2f+VV9K+8qk4tbExEEBCmTKMmSJoOSiku\nPHd8qtnZ7eUTKE3FQTMOBNebLyjlv5KQRKhv0468GaYSJtICBgLDnI4W5nS0lHWyTDvF+lZqDdQP\nEQSEaVHJw1pq8kvCZBAFhR7oXa1N3PvRN6ZWmAq8wYN7Je7e4EFRpbwJZvNgVQWtRp/gkmbeagRE\nEIgJk1VHJo1ik1+4Sl0jUS6UstwxSRWmAm9wZXMom4t9e8POnKqB/VmiIKnmrbQjgkDMSGst7qlM\nfmllMnH4YZIaZ22t5fyzO+lsm0Vn2yzOPzu+RYjEnyU6ypq3vvYkruumchGUBEQQiAlpt49NNglN\nIwwEk/2Nk7ayDnBdl3WbBzny0imOvHSKdZsHcaXEtFDAZH0yhOohgkBMCCY/13XHSMb1bs9En0+2\nveUmP9d1WXf/Tlbc+RAr7nyIdffvlAkjRLCy7mpvpqu9OdYr6zDrt+5mbyh0dO+BoXwJ6rgR5D0o\nNMFgcyxdfP60BK+0m/8mIsg/Uti3Hc0ZulpncPilU+I3UCek1kBMmGwRn6jbUZj17sUXhyNvbxrr\nNFRKJTna45ZZsBKstay48yFPCCggnIu/FlTax+/6038BQPm1BKybA+XkTTFTbW8Sf7/JMlEf53I5\n+jZt58hwkHwpy8vnNLP3wLGGfO6nitQaSCkDW4s4KG2qvYNSscQ/N/3Jt8a1o9rtFdvsxKTdfFSK\nWq+ko8p70Ki/XxilFF2tM70EU9als2UGJiT8B/vIc19bRBCIAXGJEa80611c2ivEn1Lq4M6WyUc7\n1MKRNmjvuLwHU2ivMJ6Brbt49vlhrwqjk+HZ54fH1akXao8IAkIsSHJ4nFCe6VbkrPVKeu3bi+Q9\n6I1/dEbcKbaACMqQy3NfX0QQiAFROihNth2VZL2LatJulFwDcXMMjZrJpKMuR636KanRGfViuqYb\npRwUo07BaX3u44wIAjEgToVZ1rztcrpas/mHuas1yxf/6A3jHsooJu1GyTUQZK5bcdfDrLjr4apn\nrosj00lHba1l3eadvDh0gheHTrBu885I+yup0Rn1pm/TDt71iW+X/LzUAqKrNcs73/Aq3NwIbm6E\nVUsvrkVzhRAiCMSEOBVm6WydMerM0zqj6D7WWlYufQ3tzQ7tzQ4rl75m2oPlVBPtJI1ijpbFHDKT\nRCWrwKmq9OuVjW5g1dWJKPUcB4K0wQePnCgb/ldsAbHufVfxr08/D0qBUnzt0X0ieNUYEQRiQJwK\ns6x/YDfPPX8878zz3PPHufkT3y466G579CccHT7D0eEzbHv0JxOeuxq5BpJOKUfLSssQx42ocz/U\nwzFVvPsnx2QFtVVLLx6z+t/wlSfYe2AIx8ngOJlY55lIKyIIxIQ4FGaZzCQVJImp5OGVREHppVi4\nqeTlbxymIqhte3QfynFQjsPXvvuMhA/GABEEYkTP0gV500DP0gV1bUu51bu1lj0lYv4//dXvjzuu\n0smiEZzo4uIYOh2C3yWXy0We+0GiSdJFMbNYup7wZCKCQIyYP7eLOR3NzOlorovHrFKKV83rIJcb\nASxgyeVG6GobO+iWm6CHT5wZN2hXOlk0ghNdnBxDp0r4d3Jr0N6kFltqBCYjqJUKHwyE/vB+SRKM\n04AIAjGj3vZIpcBxMnmJ3XuvCvZRWDv+4XVzI8zMTN3JMS7ZFaMmTo6hUyH4nZwgBW8VkgWVQ8L5\n4s10BLV8kjL/OQjeu1YlRjBOAyIIxIz+lVfRv/Kquny3tbaova6Yj4BSzrhVrXIyZGc0hU9Z8Yoh\nvFoINA5pzFZYyjG0MFdDXClc1RXeB12t2UklC6qU+XO7mN3RwuyOFtEExJCepQvAF9RKmTVLjQX5\n92HBGMuZMyPRNlrII4JATEiap7JTYlWbzYy/pSrNOeD5B+QIzBKum0uNABAm6I+8Y2hrE/d+9I2J\nnODC2g1sjp5lU0sWVI5imefSeF8kmflzu/j8B3+drw9cV/Y+LqY9cBwHJ5PNC8VOJutHLcn0VCuk\np4U8pfLCF80sOIl87JUkClJK0Txz1CSRf+GmzlaY5MRJxVZ1KIfOthnc/rtXcMG82ZF9dz21ZUJp\nAoHWcRwcx5lwERNoD/C1B6rgPAHFFhVCNEgZYmEMruuyZuN2jh731HKdLVm+9PE3FS1DXLjf+p7F\nZVeDwb1WbJCwNj7laqMm6IcghNJxHLq723nhhZfq2ayKmcpvHwcqKUMsTI+J+jhcuAy8sWDd5kH2\nNmj58akiZYiFSKk0L/xUVrUTrRRKiaQjuXTlHAi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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "model_scargle = ACF(maxlag=5, method='scargle', omega_max=100, n_omega=1e4, smooth=0.05).fit(t,y)\n", "model_EK = ACF(maxlag=5, method='EK').fit(t,y)\n", "\n", "periods = np.linspace(0.1, 5, 1000)\n", "scores_scargle = model_scargle.score(periods)\n", "scores_EK = model_EK.score(periods)\n", "\n", "plt.plot(periods, scores_scargle);\n", "plt.figure()\n", "plt.plot(periods, scores_EK);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/Users/tdm/anaconda/lib/python2.7/site-packages/numpy/core/numeric.py:183: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", " a = empty(shape, dtype, order)\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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cYLcZcBPvA7b1pCeIzS4WP5RhbrH4FCwAzqxktyXoei8/A9kZcP4X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\n", 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CX0REYkYteomtzcspzSwNeByYCNQBdzrnysK2LwDuB04DTzrnFrdjzFeAv3LOzQ69/mdg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\n5yKGdcT1Z6ODNWSFahgFNAD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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(model_EK.lag, model_EK.ac)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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