{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## How to find a planet in Kepler data using the *lightkurve* package?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial demonstrates the basics steps required to identify a transiting planet candidate in the Kepler data.\n", "\n", "In what follows, we will show how you can recover the signal of [Kepler-10b](https://en.wikipedia.org/wiki/Kepler-10b), the first rocky planet that was discovered by Kepler!\n", "Kepler-10 is a Sun-like (G-type) star approximately 600 light years away in the constellation of Cygnus. In this tutorial, we will download the pixel data of Kepler-10, extract a lightcurve, and recover the planet." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, let's load two popular scientific Python packages: numpy (for numerical operations) and matplotlib (for plotting)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Kepler pixel data is distributed in so-called \"Target Pixel File\". The `lightkurve` package provides a `KeplerTargetPixelFile` class which enables you to load and interact with data in this format.\n", "\n", "The class can take a path (local or url), or you can load data straight from the archive as follows:\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "INFO: Found cached file ./mastDownload/Kepler/kplr011904151_lc_Q111111110111011101/kplr011904151-2009350155506_lpd-targ.fits.gz with expected size 8025577. [astroquery.query]\n" ] } ], "source": [ "from lightkurve import KeplerTargetPixelFile\n", "tpf = KeplerTargetPixelFile.from_archive(\"Kepler-10\", quarter=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: If you want to know details about the *KeplerTargetPixelFile* class, please see the target pixel file tutorial [ADD LINK FOR THE TUTORIAL]." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use the `plot` method and pass along an aperture mask and a few plotting arguments." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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Vr50TfUR0lhWrSKLfPCJ+AvyksUPSTsBDZRXCzKw/2jnRl6nIzdhbJL2/sZFm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\ndXxk8QAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tpf.plot(aperture_mask=tpf.pipeline_mask, scale='log', cmap='gray');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we will use the ``to_lightcurve`` method to create a simple aperture photometry lightcurve using the\n", "mask defined by the pipeline which is stored in `tpf.pipeline_mask`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "lc = tpf.to_lightcurve(aperture_mask=tpf.pipeline_mask)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at the output lightcurve." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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c7IDs7Gx2797Nc889xzMV96XM73dFYzGy/H6g84F++nNXZ9vcc3XWtqvj0o/t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\nUL9mQy23zyjpsHyhlxsUsNbScvAVsrO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IHHIKDIiIyIfmL+U3atQo+vbte1CrCjjnOPaK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\ng+pYx2IxZs6cyZrvLqRf7z4ALKmrJPvMwTQ1NZGXl0d5eXnwHTrnWFJ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ERERERKQH01QC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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(17, 4))\n", "plt.plot(lc.time, lc.flux, 'ko', markersize=3)\n", "plt.plot(lc.time, lc.flux, 'o', color='pink', markersize=2)\n", "plt.ylabel(r\"Flux $(e^{-}s^{-1})$\")\n", "plt.xlabel(r\"Time - 2454833 (days)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's use the `flatten` method, which applies a Savitzky-Golay filter, to remove long-term variability that we are not interested in. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "flat, trend = lc.flatten(return_trend=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the trend estimated by the Savitzky-Golay filter:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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pxHUNgo3g7Bny3cXUZmWmsMv1/MP7xWBZmApAYnQcloWpjOwfbxTu01qTf/IEITUCjXO6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\nkkoN3fT841KCvBBC/Hk8h99/vmYXA19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EEEII8dOoXRm4eueFQN5ms7Ns3U6mWj7hdHkF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\nt4QTFdEaf18vwlsF0Mjfh9PlFeQWnmBbQTF5+05hzTuCUjB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(17, 4))\n", "plt.plot(lc.time, lc.flux, 'ko', markersize=3)\n", "plt.plot(lc.time, lc.flux, 'o', color='pink', markersize=2)\n", "plt.plot(trend.time, trend.flux, color='#00035b');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and the flat lightcurve:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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IiIiIiIiokWPwT0RERERUAx6PBzNnzoTH46nrXSEiChqDfyIiIiKiIHk8HuzIyMMTfW/D\njow8JgCIqMFg8E9EREREFKSCggKMHZSE0JAQjB2UhIKCgrreJSKioDD4JyIiIiIKUkJCAhavzkF5\nRQUWr85BQkJCXe8SEVFQGPwTEREREQXB4/GgoKAArqhIzNn0ProPHwK3213Xu0VEFBQG/0RERERE\n1dDX+nv3lSIhIYGBPxE1KAz+iYiIiIiqwbX+RNTQMfgnIiIiIqqGvtY/LT8L4eHhdb1LREQ1wuCf\niIioAeHfFyeqG263G66oSCzKz0JqYgq8+0p5HxJRg8Lgn4iIqIHg3xcnqltlZWUYl5jCqf9E1CAx\n+CciImoguOaYqG7xz/wRUUPG4J+IiKiBYOBBVPd2/PtbjHh5Fnb8+9u63hUiohoJresdICIiouCo\nPys2p+B9JPDvixNdVmrZzcsjHsDug8WIbd8RizNyAID3IhE1CAz+iYiIGhC3281Ag6gOFBQU4Alj\n2c1NHTpBCIGxg5Iwp+B93pNE1CBw2j9RA8anfhMREV0elctuyrGzZD+X3xBRg1Mrwb8QYoAQYq8Q\nYr8QYqrD74UQ4iXj958KIXpW914hRGshxDtCiM+N/39i/PwOIcRWIcRO4//btPcUGNvabvy7pjaO\nj6g+4lO/iYjox6I+JLvdbjc+PvoFdh8swU0dOmH3wWKUhFRw1J+IGoyLDv6FECEA5gIYCCAWwGgh\nRKztZQMBdDb+pQKYH8R7pwJ4T0rZGcB7xvcA8DWAIVLKmwDcD+Afts/6jZSyh/Hv2MUeH1F9xad+\nExFRY6YC/rS0tHqR7PZ4PHC3ud6c8n9Th05se4moQamNkf8+APZLKYullOcAvAkgyfaaJADp0mcj\ngFZCiGureW8SgKXG10sBJAOAlLJQSnnE+PkuAFcIIZrWwnEQNSh86jcRETVW+uy28j3F9SLZXVBQ\ngPFDUiCEgJQSAHD/rb/kzDsiajBqI/i/HsC/tO8PGT8L5jVVvbetlPJL4+ujANo6fPZwANuklD9o\nP1tqTPl/VgghnHZYCJEqhNgihNhy/PjxKg6NqP5yu93oPnwI5mx6H66oSKSnp2PixInshBDVovow\n1Zjox0if3ZaamIJF+Vl1nuxOSEhAWl4WpJQQQkAIgdTEFI7+E1GD0SAe+Cd96VWp/0wI0RXAiwDG\naz/+jZSyK4D+xr/7AmwvTUoZL6WMb9OmzSXaa6JLz+12IyEhARV7SjB35IOYO/JB7FiZy0CFqBbw\nuRpEdcc+uy0kpiPmbHof3evwT1y63W68U7rPHPWXUiItL5Mz74iowaiN4P8wgAjt+58ZPwvmNVW9\n9ytjaQCM/831+0KInwHIAjBGSnlA/VxKedj4/zSA1+FbVtCocBSK7NLT0zEuMQkulwsulwtjByf7\njUKw3BDVHJ+rQVR39Nlt3YcPQWpqKp5++uk6f7jek08+ibT8LJRXlGN+zkqEdrmxzveJiChYtRH8\nbwbQWQjRQQgRBmAUgFzba3IBjDGe+t8PwEljSn9V782F74F+MP7PAQAhRCsAqwBMlVKuVx8ghAgV\nQvzU+LoJgEQAn9XC8dUbHIUiO4/Hg5uvaAWXcEFKCa/Xi8Wrsi2jECw3VFcaetKJz9Ugqltut9sS\n8NeHOsXtdqP7XUMxZ9MHiBuZjNTU1DrbFyKimrro4F9KWQ7gUQBrARQBWC6l3CWEmCCEmGC8bDWA\nYgD7ASwCMKmq9xrvmQXgDiHE5wBuN76H8fpOAJ6z/Um/pgDWCiE+BbAdvhkEiy72+OoTjkKRXUFB\nAcYlJsPl8t3K83My4IruYBmFYLmhutAYkk72kUeO7hHVnfpUp9iTEkREDYVQ65Z+rOLj4+WWLVvq\nejeCohq+sYOSsHh1DjujBI/Hg8IVOZg4dDiEECivqMCcTe/j6aeftryG5YYut5kzZ+KJvrchNCTE\nsVwSETnxeDwoKChAQkKCpa1yqlMSEhIcX3u59jM9PR0AMGbMGLarRFSnhBBbpZTx1b2uQTzwj3w4\nCkV2brcbB5tI7CzZDykldh8sRnh4uN9rWG7ocgsPD8fug8UByyURkZ0+ul+4IgdpaWnm7+zLcMLD\nw+tsJoDH48H2Fbl80C4RNTgM/hsYTjUju1OnTiG2fUcIIRDbviMKCwvrepf81Id1mnR5FRYWolvk\njRBCoFvkjViyZAmvP9WLuqA+7AM505epTRw6HOeLDpgJAHsiu6ysrM6WtOlL7gI9aJeIqD5i8E+X\nDDtYl17lA/8EpJRwCYGbr2hpOeeXcp1kMNe4Pq3TpODV5v0rhMD6mS/x+v/I1Ye6oD7sAwWWkJCA\ntPwsSCkhhMCkpLtQsafY8TolJCRgUX42yisqsCg/+7I+kFN9ttfrdXzQblXYNyK6/HjfVWLwT5dE\nXQecPxb2B/65XC6MHzLMXIeoXnMpRkeCvcZ84GDDUxv3b1xcHD4rPWD+Pezauv68/+uHC7kO9aEu\nqA/7QIG53W6ExnTEvJyVZgJgXGIKCgoKfPXSylxfvbQyF9nZ2fBKLwBp/Lu8+9ljxFAMf2km3FMn\n+z1oNxAmn4h8LmdbzvvOisE/XRJ1HXDWF5e6ctPXVQeSkJCAxat8oyM1GZ2oTrDXuD78uTQGjDVT\nG/dvWVmZuRxFSlkr1z+Y+/9SXGuWH6sLrYfrQ11QG/vA8nBp3XTTTXi3dB/m56y0XKf09HSkJqYg\nNCQEqYkpiPhBYlLSXQgNCfVLel8ud97YBetnvoTyPcWW5xMEwuQT0eXvy/O+s2Lw38DV107Iperk\nNaQb+FJXbh6PBxkZGYht3wFCCACA1+vFwrxMxMXFWcqFyg3U5h/3CPYaB/vAwUtVlhtawqg+qI37\nV9/GwrwsTF7x2kU/cLK6+/9SXGuWH38XWg/Xh4ePXuw+sDxcWur8rpg8FV4pEfGbZKw9UAQAOHr0\nqNnWCSHwSPIIy/dHjx69rPuanp6OsYOGms8nCLQ8QVcfEmBE1bnUscXl7svr992i/Gx88cUXP+q6\nO2T69Ol1vQ91Ki0tbXpqampd78YFUY3k5F8OxJrcXJy/ujkiIiLqercAABERETh/dXO8vv4D9Bt0\nZ5UB37JlyxAaGhrUvoeGhmJNbi56dIrC4tU56DfoTr/31XSbl8qyZcsw+ZcDERoSgh6dovD6+g8Q\nGhpaK/umrv1fHpyIE999hyuaNoUQAhXeCsxam4MbvaG+cpGTg/T8HMy6byxCQ0IQ1zkar6//AP37\n97/o4wv2GqvX9u/fP+AxX8qy7HQdLub460v5qk32Y6rJtQ1E38aVN1yHsLAwREZGXtQ5q+7+r+1r\nfam22dAFug7B3BvV1QWXw8XsQ0MsDw2pztLPb++YWPzurtEY2ffnWJ2dgwPffo2RfX9uCfjV0gAp\nJT46uB+JiYmXZT89Hg+8+0rRJ6aruS/BtK+1UbfWhmDLhHpdUVER1q1b1yDKEFnV9P7X+2Ors3Pw\nSnYGwsPDa/W6B9OXr00RERHYVnoAj86ZgR43RGJayuh6FzfVhhdeeOHL6dOnVzsFicF/Aw7+60sn\nJFDFcikCPktAEXEdioqKLJ9b3TYvRSco0DbtldvRc2dwdudeTL5t0EVXOvq1V4G/lBK7SouR6fkn\nXk6dgpCQEPTsHINvjh5Dn5hYSCmRlp+FfoMHWM7XxZyP2urIX8qyXF0jU5NzEEyZbUgdbSDwMdXG\ntY2IiEBoaCiOfvwJJv9yIFZlZ6PwYDF69ep1wdurquNc28lBj8eDjz76CEdKS9GjU/Rl6aTUdB/r\ngtN1qM/J6NpUk05rbQdOF1IuGtp1KSoqwicfb0DvmFgIIcx/PTpF459f7McXB4rROzrWbPN2luxH\neIuWWJiXietvir3guqWmli1bhim3DUKIy6W1vwfwTdOQavchmL7Rpbz/A5UJ++fqr2t6+nskd+1Z\nb8tQfa8z68qF3P96f6xXVAwGxvao9et+uZNgHo8HRz/+BHMn/id6R8cipAElb2uCwX+QGnLwXxuZ\ns4vtnOgVS3Ude3vlHOzIuNOopB5Q6JWSfZupf34enTp18mvI1uTmYlvpgYvukFVVsdoTFS2OncDE\nocMR4nJVW+lU15Dp196ldZDCW7RE2tp8jL19kDk60jsm1nwg4OY9u3Ft1xjH81EXDbo6zvDwcGzd\nuKlGHepgr1tVjUyw50B95vLlyzHr3rEBkxT14ZzWVFX3TG1vPz66Czav34DyFlde8Par6jhX16Go\nSfKmqKgIRz/+BNOSR2Hrvj14bcdG3Dl6pF/5udAOZ6D3XsoyVNPER6D9W7ZsGSIjIzF69Gjzd/Ul\nGV2b9HNw6NAh87jbxUYHNavtQgMnp3N/oeXiQq5LbZbrmpa5ox9/gtTEZHx7+jSuaNoUACClxKJV\n2biuWxeg7AR6RXUx39P2J62xq7QYA/rcgq0bN+H81c3Na3UpA8HQ0FCszs5Br6gYADDa31Z49/Pd\nFz2zrLbvf/s1mDFjBqYlj/Lre9k/t6CgwCw717RqHVTfpbZ4PB7MmDEDq1atsow618a9kZaWhmee\neQZnzpy5bMmiS6Wq+8vj8WD69On4y4MTa3T/6/1LIUStBsr6/gJAaWlp0DMCnerjYO9xvR5Ugk3W\nNSQM/oPUkIP/i82cVdc5CabRDrZj71Q5R0ZGWpIXV0ZcZwnot5UewOLFi4HPD1Yb5KtKSa+0dh8s\nxuODhzk2ZD06RWHLBs9Fj8JX17FSgcrixYvxbMoohLhCfCPweZmWEfjqzpX9deraz3pjKb44cAC9\norqYHaRed9yGzRs8iOscBQEBl8tlTo2M6xyDWW8sRWJiYp101u2VtzrOrRs3wRUViXc/3x10h7om\n1y1QwBjMOdA/s1u769D2J63Nc305pp0HoyYdbvvvqrpnaqPjXFRUhKanv8c1rVoHPTX2YoKPqpID\nU6ZMwax7H0ZoSCh6dIoy7wX9c9W13rzBg3GDk83lMru++wajR492fK06X8F2SKoqxzUpQ7U9a8Xp\ntXpSt6pt1NclWdUlMQLti33q61dFe83jbhcbbUl8ONGvY00Cp0DnONhyUdX9HcwgwcUEn04Jdqck\nfaB9/uijj4ygNBRhTZqg/X3DkLtjCzYfO4w7R49EUVERJt82CCFGB14lvfXzO+uNpcD+Ly55AjYi\nIgLlLa7EfdOeQq/IjrimVesqg4lgy35ttiEqgNb7UNtKD+Cak2fRO7qLpR2z949eX/8BEhISzLKz\nq/QAwlu0qtG9Hcw9Fuje3L4iF88NG43BXeOwOjsH51tcaekz6NfWKZkR6JylpaWhX5Or8bshdyHs\n1L+Rs9lz0cFfbSRVL/Rz9Xr60ef+ACmlpa7+y4MTsftgMcJbtEJafhauuuH6oGamqP7l4ZKqZ71d\naBu0KjsbR3ftwRSHPnh1CR57fVzdPW6fwSfg+8tYtZGsq28Y/AepIQX/TjeEvaNb1Uh+Vdlfe+MZ\nHh5uudFmLJiLDz/80G/dT2hoKFZlZyM+ukuVHXunBm306NGW5EVRUZFfcD4tZTTio7uYmcdZbyzF\nzp07A44Uq0or9c/P4/HBwwI2ZGn5WeZTg3t0isLIJx7Dtm3bglrXpJ/H06dPY8sGD+I6V105yn0H\n0TvaN/V+QW4GQrvciOTkZMftB9v4R0REIDw8HO9s/QSvvPc2lm/6GP9uGopf//rXaNc1GrPeSPeb\nIikAHC4pxfkWVzomX9atW3fJ1vbZO4brtmyyNNjvfr4bTz/99GXrGAHOAYs9gLN34l0uFyq8Xry6\nYyMmTJhg2V5RUZFZHhblZ2Nf2VdmmbpUgU9aWhq+/GgjJt82CKuzc/D7Gf+F8G++c2xU9deq37nd\n7oD3TG00in/6058w+c6hZhJqYW4G3AESX0DVs4ku5hympaXhvtieaNf6pwBguRecAm/fNcwKeG/b\ny+Kt99yFKNE0qISi9b2dMfKJx9GtW7egg7VAnfqq7tuadJADJXWdAgS1jeqS0U5lr6azzGp67fXP\n9EtirMw1n4ty3iFhbS0LUegZ1aVG90ZlXRCFXaXFjoGT0+hmoOsUbLmwB0fq/q5qNkx1M/Lss5sC\nJRrt5ePROTMwd+J/mt+rvkWgqeWHS0pR+Pke9Ojkqz/PNm+KDh06YMyYMb4/AaiNtqvAX6nwerF4\ndQ6+On87zXrUAAAgAElEQVQ26HJ+sSIiInD06FEkd+2JkCqCiZqU/QtZVuJ0LVSgPC15lKUPNW3R\nPPzloYkICQmxtGNOn6uXnW+ahgRMzjvV2efOnQuYRPJ4PJgyZQqaHz7u2E4tW7YMk28biJCQEHPJ\nx+vrP0BpaanjbFHv3hL06eJ79kJ1o7nPPPMMfjfkLjNp9Ie0ubjvvvuCv+gO1+BCkqq1sSzVXk+P\nvWOQmdDQ+9PhLVphYV4mxg8ZZs6OqW77ERERSExMxPkWV1ZZd2xfkYvJt/niBH3gz+lY7MsJesd0\n9UuKBkqqP/7442ZdEtc5Gj2jYvzu8aqSBmoG35NvvIKzp04jrnPMZVvGdzkx+A9SQwn+g1mjpWdF\n7SP59ozpttIDaHPyjPmwmrJTJ9EsLAxCCBwqLsGsRQvMG61XVAzu7tvfkoHVkw+FB4uxef2GKgPg\n0NBQrMnJ8WUQjUzzoUOHUFBQgISEBLNhdwrOpZSo8HqxKD8b7cKamSPFJSEV+GvGG+ja/xZLIB0R\nEYFOnTphdXaOGYT1G2xtyK664XozebD7YDGeues3jsenzr3lHBudxtXZ2UDZCYxLTEFafhZCojtY\n9sMympEyymxsX/t0E55//vmA11o/D/YAUt9uUVERvvxoE6aljMKJ48fRuXUbTEseZY5MTZgwAU/M\n/BPuT7jD7CS5XC6zIdWTL1dGXAfvvtKgZoE4jW4GM7qWnp6Oacl3m6Oua3Zvx5GDB6sMvO33QG2v\nvz506BDWbdmENbu347puXbB27VrIfaVmIF3e4kqcPn3aHLk+e+4cQkNCsKv0ACquaW3pYKgpq+MG\nJyMtLxNCwHyoTLAjYPbjrW70vqioCOV7is3lJL2iYvBAwq8DNqpHPtrouPRE3TP6/RfMCEF1PB4P\nmh8+jt4xXc0E1BNvvIpnn3024HsCBZ56Hea0xKi6JUx6pw+ovBf00X99lsKu0gP457dHsa3sy2qf\nL3Diu9P4w+j7ER8da0miBnr4mB7EuFwuPHz7QLPuCSZYc+rUq5lMgc6NLwHpG+1bmJcZ8Pp6PB4s\nX74c3351zFx3rZK6CQkJlnr8yojrsHjxYjN4dbvdAZPRejm9kISr05KtQNdaBdVtTnyPiUl3IcTl\nspSl9PR0PJcy2nwuyojfP2YmX5yukRACuw46B/CB9tdXFyRh98ESxLbvgLT8bJSGenH06FGzHtVH\nN/Mzs7Dyg3cR7brCb1RWT2xXNdPPHrirZLl9iYbTeVXlpnnz5gET2vbrsOK9dTjzqTF6l+N7rs21\nTZqa90/rsGboHRMLwJdsO1Rcgq+K9gWcWh7XORoz12bjmYUvwx0di/++f7ylXXa73ZixYC7u7tvf\nTCaqhPprn27CnaNHonv37pf1QWKqnOh9DXtZDFTvOtHbJLXMqLqR0FXZ2Vj5/jv4Ydfnjsl11Yda\nvDoHXfvfYvZ9FuVn46vys+a961S+1ABTr169As6ocqqz1239xDEJowLG2WPGObZT+jntFRVjqa/6\n9u3rd23T09Px/LB74DKevRDeoiXe/Xy33xJSdQ5btWqFtqFhuKZVa+ws2Y8W0TcGvVTVSU0GJKpK\nwFY3k0x9rdd5lQM4neESLktC44EHHrC05+OHXFhiX13/NWvWYNKkSVi9ejXat29vJiqfG+arR3tF\nxWDm6742L1C8og+OCFE5K1WfCetUh8l9BzH/kd9WDiDkZaJw/15LPzBQ/8CexP3h9HdIHTIMC/My\ncbCJxIMPPhjUeWgoGPwHqaEE/043hD46vyY31/dUd2M9sn2aoT1j+uicGZg36bfmw2rCmoRCQpo3\n8UO/GoDdB0sQ3qIlXC6XWbH6Pjvd0qnt1asXygNkB1Xlefr0aVR8/S16RcVgy749+Np73i8Ysgfn\nWzZsRFznaCzMy8SU1+bjWMUPlvXWxXv24C8PTXLMZB46dAhfFe1Fz6gYFH6+B8crzmHdunVmJ6hX\nr16W0U49w6w6TPaEijrHs+8bZ56nuM4xZqdFz/jbRzO27StCXOcopOVlWR5KpI/8HDlyxNzHdrG+\n/WjbpCmmpYxCflY2Zi6ch1OnTpnnbfP6DZgwdJjfvugZ8dbffGdJ8IQ1CcWC3Ex8vHsn2rdvb3bW\n161bF3CKqi/JYIyeZWXhq917LUGGPcOvd8zVvq7OzsE1oWHo06UbAJjB880J/c1ys3PnzoCjI/bs\nrdP662DYkxjbV+RiWsooHCopgfz6W0xLGYU+RodENWZhYWHmyE6oUU6cRnj0hj2ucwx6aSOF0xbN\nq9G6u6qSffqIyeYNHqQmpiDEaBQBmPeqvVGdMWOGZenJgtwMMwD0eDwoKCjA0XNnULxnD1ITU7B5\n/QbMWDjPbOjt5y/YkQn1UCy1f2dOncb2L0r8Olxq2+Hh4di8weM3m0ivw+xLjKpbwgQAZ86cQdip\nf1uSOC4h8EVxsbmddevWWUbxtpV96TgbRZ2vKyOuw+BJ4/DcvQ+ZSQW1xOZwSSm2HSw2O2p6R87t\nduOV7AwMjO2OEJd/3RMoWFPnVJ0H1anXk6Xx0V2w6eP1lnOsj6RJKdEzKgZbNnj8lmhZO+ax+Mw2\n1RcAju7a66vH9+5Gxdff4vlh9zgmTvXR9c3rNyB1yDCzHOwqPWAmXPMzs1DoUB4CHbOe6HC61k89\n9RS+/3QPnk0Zhd4xXW3Lnnxl6eTJkxjcNc68Zg/+aoDf7AkAmLVoPh76le+8hbdoiVuffgwP/Pax\nauudyv0NNepTXxtRvGePWb+t27LJTAoLIRAfHYt9u3cjdUiKkSiuwMy1Obj11lvNNsLlcuHMmTM4\nffq0Y9LDPvNIJcsDPY/HV2f5ErLx0V3wycfrgW9OBkxo26/D/t1FmJTsS6707ByDZxfPx9Th9xj3\nT0v0MpJTgK9echqx02fkLcrPRodWrfF/U6ejj3HtVL/j9fUF6N+/P9566y2M6vcL89qFD7sTnfr0\nQtu2bREZGVlt8qy2HTp0CEd370GvqBhs27cH7Yxn6ujnTK8Dg1nyNy15FA6XlGLd1k04cuRItc83\nio/ugn27dltmM+rJ9bT8bLPNbNu2LdLzc/CnfyxB307Rlqee25N3QHDr451mgDol98391kb1nc6J\nWlLx2F9fxLdfHUPqkGHYvMGDr73nLX0Gt9uNVatWmfeylBILcjKx7eABhB380rzX9OR7yb59+Oib\nL/HfK19Hi+gboff/Aw2mVfV8mOXLl+PEsWPVjiTbE7D2ZYNOfXy1fEWf5q7Xee1io3G84hw+Wb/B\nTLLtLNmP9cX7cOutt5rPJtEHu5wGlOzHbh/wWbNmDfo1uRp/GHEv7u7XH3mZmShveRV27NhhOfev\nvPc2SkpKtOU7lc8ROnPmDLz7Ss3Bka379pj9+9CYjkhOTnYc4Pnq/FlLPQkAm/fuRmhMR8tMlECD\nBvrgjUu4zIR5b6O+deqLBDonDQGD/yA1lODfPgpxuKTUb9r0iWO+kRoppV+nLTIy0vL+ijNnsW3f\nHjOzmpafhcLPfZk09YCP8Bat0OH+EXg8ZaQ2bVz4TZUFKp/qXVBQgKKiIixevBhLlizBVV+WaYHq\ncDNQfWTOny3TAdVDxgDfA0C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Tl0NjOlqmdz711FP4TYzvepedOolWV12NtPws33Elj7Bc\nB3WN1bGqhM3YQUPN2QMq8P+iKXxLc44exTfffIO7e/ZD6hBfp89eF+nBjZQSrZJux7fZ75jnd/hL\nM5GVlQUAuPPOO/H203+y3IdAZdA4P2cllm4owPqZ/4vQkFDz2qlnpXx65gTi4uJwvuiAWZ/o9ZTv\nfqss8+np6QBg1itqlGtcYpJZ3lQ509e0h8Z0RPmeYrM9UPsxPzcDIS4Xxg5OxuLVOVh7oAgrJj+F\n0JBQ82+1bzx/GqmpqWabopfH+TkrsfOs77za3xfbvgPS8rLMwF2dm50l+zH7vVVYtmyZed3VCJev\nXctC2gdrMfY/fo3xQ1OwMC8LQgikJiZj98ES83rNy1mJX3SPM9vd2PYdzM+fl7PSXEur6voXho60\n1Ln6fqjlInpdq87jwtwsCJdAqtbmLcjNMD9bHZO9Pg+UmFXXdGFeltluCwGMHZxslkf1Hqe6RN+O\nugZz1+Vjx8tLLGWs7cjBGD58OOLi4lCxpwTjEiufc+D7vyMWr87Bjn9/a2kD5uWsRJMuN+Kmm25C\nQUEBwsPDzXpIHes/d2zH+KHDzLo3UJ2p11fzc1YibmTyJZ/ur3g8Hks7ba8bVWCj93Mmr3gNNzVr\nYamP9fawsLDQ8nt7nQ7AfF4SAKSnp6N781YYOzgZaflZONhEYvv27eZn6nWZapOUyvvft1/dr/yJ\nr49o1Lnb/ifN0h4tXp2L7sOHAIBxLyVZ6sF+Tz2K+29J8Nv3hXlZeLd0H5588knL/js900S1VYrT\nOSorK7O8v7JeTjLunw5mOTxfXoFmYWFGXX8VQkNCzeO9+YpWZt8DqOyX7Pj+hOUe1fdDtV/6faR+\nr/d/7G16eUU5Wg75Fa666io88MADePHFF819V3VuXFyc5T5Q+6TuS3UMaXlZcBl1qp649J1v6XjP\n6cd49tw5NAsLw86S/Zj82gJ8MH2OWa93e+QBTBmYZClP7c/BLDcL8zIREtPRuN+tn6/uQbVvqi5b\nlJ+FdSV70a5dO0t/NS0tDRV7ijHOqHfVeY1t39Fsu9esWYOMKU+b52Bezkp8dvaUeWyqn6nKu688\nl5vtQlp+Ft7a6sHZs2dx3XXXmXGTXqbs/cjK/Uqx1D/1nRBiq5QyvtrXMfhvOMG/3uiZDcgVLS2N\npaVjkr0SE5MqA7N52SuxvHAjRsb1M4MUAJbOnwpi9W3piQWg8sYvLCzEhx9+iM/mvmYJblTQrQfc\nv5z+BGJjYy0365xN72PXrl148leDzc/856fbMX7IMDMoKSwsxM1XtDQrBr3jMy97JXre7csY+xrX\nF8xOidoXexJiQV4m4kYkAYClg2nfd/049cBUva6ycbjfPN96Ja9XwK6oSHj3lmCs8fAn/RhUg9Bq\n6O04kfuuua0FuRkIMSo9PahcmJeJT8+c9Kv0pk+f7lgx/cd//IdZqavGe0FuJlYUbsKsWbMAwGww\nnTqaTg2bV3rNxvPmRx80r78+eqTOoZ5g2L4iB+O1JJGvzFkrbdXIqmMVQjgGDIoqR08//bTfsXs8\nHowcORJf/CPT0hlekJuJSUbHQp1PAJZrqYKRsrIyyz034uVZ2Lt3Lx65c4jZoZbSayYk1HnSr629\nQw0AC3IzUNpEoqCgAGNuSbAkePTX6cHnDTfcgBMnTiAvLw9lZWU4/EauY8dEv+/cUyfjb3/7G9xu\nt5ns0hvD48ePIzo6GlFRUYg8LzAuMdnSkVPlYOP5077zZ7xfBe3VNYb2YOvNrb6nEB99K9/saLin\nTgYALJrwuFn27MGpKlv6vkXcm4JDhw4hJSUFmY89YwkCyivKAcDvfiosLMTRo0dx5MgRM1B2Slqp\n66DOgb1z4PF4MHbsWOz8+6vmcfxy+hMY3ftWs/NpJshyMiz1sK68ogKhISE4e+4cEp79reUc6EGM\nPZGnlxP9vtTvPQCWIN0XBKb41VeKStJ+euakJegvKPDNstE7X+q1L7+da97/Xq8X7e5ONK+tvt15\n2SsxfmhlkHzzow/ikV8PwaTku8wyru7jiRMn+tWr9uOzd67tQY2ZXDLqXxUo6Aks+32mJxP0e1ZP\ntOhtpLq/F+Vnm0mmOVlvofjV5X4Bab+nHkVycjLCw8NRVlaG8PBwI3HsC7IgJVKHDIPLGL1V9dQj\nySO0eqAcvX83EeMSfm3WN3pZUOdpXs5K830qSda1a1dLwkFvG/V7xX4P2Let9kU/Z9eNHop+/fph\n7969fm1BWn42dhrlCYBfUmdu9goIITDeeACXKp9qv0a8/CK+//57DB8+3Eze2YM8extVVZtwqaSk\npJj3hx78+wekHbEoPxuvrX/fkqhTyivK0fnh0Xj99dexc+dOMyhS5VG1Qb/uEINxiUlIy8tCaBff\nunU9WLEGvx0tnx0S40su7N69GyPi+ppt4fycDMx7Jx87Xn7FLCNzs1dY+gT6+bXXCYCvvN3+3O+x\n7c2yzrsAACAASURBVH/S/JJIer2ht+v6/VmZ3PmlX19OtQX6wJAKygCYCaSysjLs2rUL/X56nV8i\nVx3ThKHDsDA3C/+dsxyfL3nD8lmqLm/dujVuj4zC+CEp5vnX90fdk+o+1QdoPis9YCaWw1u0dCwz\nZadOYs76d3DjjTdaBqHm5azEhKHD/PbJXufZ+2LqnOgDQnoZUkl1/XrobekfRt5rCcD1eknNXlUD\njTc/+hAAWOr++TkZGD/U17d4p2SvGWBbk8QdLYG006CEr62obKfm5ayElJWDfur6zJo1y0hIJ5vl\nWiWeAevAlNfrxYLcDHNQTyVBK+tba52h37cL8zLxRRjMRE19x+A/SA0p+NcLpLrBs7OzceSN3Mob\nxxiJSMvPQtr7b6Pwb4ssHQS9A61+pv5XFZZTp9AasPkyaqqy0iuludkrkFe0w9fJNjqBKhN4MAxo\nfw7mDbj+2L/MwF9vHOblrMT8d1bhscceQ2FhYcDM5dzsFXjv4Oe4s2OMmWF0Ch70/VMZQwABt6sf\nZ5fx96Fo4T8cG+lfvfAUXn5gguM5UzMznnzySctIsVOn2+n861nLRfnZWFeyx8yYAvDrUDhlJlU2\nWSVP9A7tvOyVePfgPrRr185vRN7eEbZ3wn2VfOVsksjzLjP763WopGNjY30j45FRfqOO9pF/wNcJ\nse+b3rm3X8+eDqM8lYFuil8wq47Rdx19lX5CQoKlY6qu/bBhw9Ch3IWxg5OwIDfT0hGal70Siz9c\nh61/XejYMVDlXghrUK3Kj55o+2hHoaWjol+HudkrEOJymQ2zCu5UgLMwL9My+0J/r33kt7CwEADQ\nokULc+QbqExG3HAOZmdQ307EvSmYdvd95kiAfSS9KiqAPHHihHH/W69JhbfCHJlxujfsHRVlfm4G\n4kYkOQZ0eqfLHhyq7aiZNvZzrq6hr5M43DHJps94AnxJpHVah8dej9hnZ/iPCKkkWGUCU90/AwYM\nQEJCAubOnWvp0OrlTe8Yd3robjyRfLc5C0w/h+qeVh1B/Rqo4M8rvViQm4klH76D8bcNwNjByViY\nm2kmMNS+3fjQ3WjevLmZAHFK0FSefxUkO5XhDuaI5s6dO83ZCfp+ByoHej3wbuk+v/Ovj3wvXp2D\nNzavR8EL/23ZljqHgbavn+P5uRmWBMrOkv144s3XMDS2hxnA6nUcYDyAa+cOyyw2NZvOPhKld5Tt\niR6VxNJH3+37u7NkP5L++IyZgFCJh7/97W9IT09Ht2Yt/PZvXvZK9O/ew1IXqdfo5UMPgJz6jfa2\n1ikQT0tL85t9Yi+fevJdDxKdgrzw8HAzkFWzbOpilE4FMalDfDNIPjt7CmPGjLHNEivHdaOG4oV7\nHzLLgp640Km6Td0PesJkXs5KTEq6y7zn5mavwPx3ViEqKsqv/KuE3PR7H0JqYoqZtLXfZ0qgfqBe\nDs224geYyTv9frv16cfgmfWy4wwSQCWbhGXGqpp54zl+GFdffTW6Nr3aTGABsCQh1Ow9PZH46J1D\nzGtfElJh2Tf92M6eO4cmoSGWQFifTQPA7OOo+lM/J4qaLab6nPq5UvUEAIy3tXX2/blmxCBMv/eh\ngMl/p+NX51NPTKpnSbRq1SrgbJANxw5h27ZtxsBFinkO1LEsys/G39fmmskf30xcaZtl1RFVzWJT\nswj69euHG87BLLeB6gT7rD1VhvT6z5740PuNvkG1ZCxela19n4SFuVmYtjQNZZlrLQlwNZg54mVf\nIK9madlnno0dO9ZSx17u2UQXg8F/kBpa8J+enq41dCl+I8kdHxyJAQMGYMyYMZg6darZ0QGcOzhO\nQVF1nSKVOdWn/gGVMw/0KX+Vwax1ZGZBbgak9G887Nv7+NPtltEceyXtlV4tK24d1Z2fk4FZGa+j\ncO6rZkdX79zqlakTNb1Kbyh0vkRLZUdQnT+gcgqtyv6r6dr2itAeJKhzps6Dnu3v06ePmR13mkoY\nKHOpkgd3REb5TTNcmJcJr1daroNeDlQWVh9xU1RH4K1tG3H8+HEcO3YMR5fnW4IXlX1V7MkHNQXw\nnnvuwYFX3jIr6o4PjgQAPJFyty+ZZSxfUQGKsjAvEz1GJPklPezZZL186/uvKnUAmD17Nu6IjEKq\n1jDqgbl9G+o47KO65rQ8Yxr0TTfdhNmzZ5sNDQBzyp3av66T7jcbZXtyTu94OyXA/pKzwjx3Tu+x\nZ97VyNPGF/9uKXvdJz9sNvyqwVX72iQ0xDL6FOzImgr8w8PD/Tr9Tsdlv4/UvtuTBWq0QyVunKaf\n2q+TGnnWr79+L+jXUE3V/nm7G/ySbK6oSCxZssTs4Kog/e5ebjMZ8MP582gWFmZ+ln26tvpfdbzM\n5RdFByzlVnW47DNM9P3Wlzio1+nbsHfOO9w/AiVLV1jqLVV32wN3/bzYj0G9xj5l3KmO3VmyH+MW\n/M2c2WC/vgvzsvBFGND+vPCbjaXKg1MboQdETbrcaI6mn/jutNmxVXV/eUUFbn16il9gou5ZPRlS\nVUIIgCXBqUba1WeoEewFuZl4duki3HzzzXjv+dl+QZmiB7mVo8IvWRKy+rFWeCtsHferLPfmzY8+\niDefeNaSpISA+ZwcfeaEfeRSbX9hrm+5iVPdr/ZJT3jq95S+r2oJmz69efbs2bi9fZQlONPL57V3\nD8FVV12F5s2bWwIRfUq6PcDXp007LYG71PSZOfZ7Wp85qJ87dQ/Ny1mJx//+V5x/12Opj+ds+gBv\nv/22ZeZeoHIJVC6T0Jd+2utZ1ZfQE/F2KiB3Cp5VvXhLm+sd6xjVrqt21CnxXnbqJJYXvIvUxBTz\nPrXWh1f5za7p/PBoc4S+sl7s4Fie7fuun2fVb3WqS5S52SvM5Ip+7Po5V4mcI2/mOs78tAfO9nOg\nzsOb76/zm52geL1etEq6HQAw46EJmDB0mNm/9V/mJ817onK0P8VxZPupp55CZmYmOnbsiOLiYhQt\nXOY3wAL4+s9AZR/d6/Wi/ZjhKFm6ssqlofrsT70cqjpWJQhiY2N9S2a0WSL6OXBqm/U+cZfx91r2\nXZ9Bqs61vrThuvA2Zj9+XvZKpHsKzHpWDfb07dsX7jbX+w2A2Jfh1WcM/oPUUIJ/+/Qxp46kuZ5Z\nW6NjD4DsN6i9w1fVa/XRGvtUO71T7pTB00eRAf/RMMWpItGXMUhIS6Nlr1RV5aAqxIW5mQEDW/W1\nep/6LH1b9o6zPvqhj2bZkwmqU67WuM2ePdsyRc4+Aqd/nr1RkrJyTWagaX72zpB9icicTe/jxIkT\n5mhvZSNWgdgJ92Hl0y8EnMFgn0ass1fY+s99o2TDLA2F2qbqEAZKjOhU59U+SqEaWXsgqh+7/Tpa\n9s+YYVA55T3Fcd23vZzo31fO0LB2dNRoTGJiopmNHzt2LD6b+5rjfas6VE4dJtX42BNHAPxGCgFf\np+KO55/AuIRfm+sm9fepTkXxskxL2dOf5aBfa/v507PkVdHrLPuzD7xeL64ZMQh/vO/hgHWUuka/\nW/C/OPP2Py2Bnhplzd29HQDQpk0bv2me+rm78aG78aSRSFK/14/XHsCqQLFZs2YoLi42OzyV0yut\nyyM6PjjSTMDYy4g6Xvu9re/byJEjsX37drRp0wbun17vOKJmH3lVnSi1fEdNz9fXxDuZl7MS/W/u\n4TeKVF2nV6+37Puiz94oO3USt/x+Eh4blGKZ1r8gN8Pv+tg/36lzbt8Pp3OqgsMxY8bg8ccf91vS\nIaUvUbn+2CHLbDO1HTWaqj7Dfk6c6ianMjs/ZyVydm/HkC7dLUuLVHCvgh39WNRIVLt27QBAe5aM\nbynWk2l/x3erChxnjqjA6MmUuy1TdvWZGk4JFD3pMnHocL97XSW0fGV/haXdVp83Xnuug35O7HWV\nmm3XokULs55dmJdpKYMqMCg7dRKtr25huUednhmg1/tOMyIvdwLA/kwOvW3Sp8cD/nWBU4JzZ8l+\n3P/SbCyd8qRjX88paNfb4kD9HbW00j7zwr6d+bkZgDE4o6jyFjnmLnzxj0zHhIR9AMipLZPSNxvl\nm2++wb5Frzsem/6/XlerY9OXoNiDfAB++9Z84C8wfPhw3HpNBMYlJllmPunHrY+wV3W/q2O194PV\ndpxm86lzsyD3/9l797ioq/x//PmeGS+lIjrrJf2goHIRNUC6SOamtYbKHURFi7QUUEPd1lRaS91P\npWa1limClpe12kRgGPCaFpWKeFcUFC+AS2UZeas0deb9++M9rzPnnHkPYLV91u9vz+PhQ2Dmfd7n\n8jqv6/P1OnmYkf0OXkt5VjctgfqSU3j4z1XViVxz7o2jvhQX5OHP+bJtRQgJCRHSbMNfeA6zRyW7\nBFj4decj8IPmPo8RffsJEX0aj7xO/Gc8b+cdn/wc+Of5/eTrJ0Fx1mSRa4rsPH+OzU0exy3bLd2g\nCvXDO1N5uuD3xR3K9D+tKb+n8a8oyhAAbwEwAlipquoC6XPF8fkwAD8BGKuq6sH6nlUUpS2AjwB4\nA6gGMEJV1YuOzzIAPAPABmCKqqpbHX8PBbAawF0ANgGYqjYwwTvF+G+oMJisOMlRaZ5RkVJtrdCU\nFFkh443NrMJ8zHt/FUwmE86ty3f7fsA1esIb/HJecmZBrotnmd5N3rq6K5fx0ScfCwpkes5qHDx4\nUFDuVFUVlBdeAPARTHq//D69piew5ChvWdVpDHvxeWQkjmHRbdm7TErniuJtQuEcnjk2JPzk/5dZ\nNqDkuy/Rv/3/uC1oJheHlPPXeeOKIJ/u5s0rKfwaulNEiB73fPeV4EXl++k9eSweeeQRoYAXv3+8\nAcLnpPLvoJzSEJ3Iv1wYT1b2yRiUa0nIueLu9oAaRTSfDHtEgGPzZ4IgdX8vysXu15e5CLtlBRsA\nQBcKy0dRRz36OMwerdn54Gn1ls2GP8SHo1mzZhg8eDB69eqF7OxsIf9Yb/x68+MRNHp7TVGphiL/\nogPK1dlXd+UyxixdhNheIbo1PfQinFmF+bCWH8aiUWPRx6eH4NnnU1Rob3hFNKswH69b1qNLly4s\nFcVZMFUz9sc9/Gg9BdG6uRQ2oj3q/vRIwfh3d3b00BtlVacBQDdCztM7r9TzxgUZQBRR5SN//LPU\n3OV46xnoMj2S8p8xfIyLg0LmUfznMu/U4x2qqrqka/BNXjf5M4K+et80CDVaeFqLCQx2iViSo1iP\nTuk9JA/dGTPUT+fRMdj66puSg1WDQl+9elXIiecbn/u+osiC6iZ2liJTn+Od6FwrjBcnoODcoYVo\nPTxbtmS1fOTv8agteR+ofsb8+fOFaKws2/i+5FQGnu7cOTZp7SIWzmFFfeXiq3IBQDkK+nsp6nqR\nf3JE7NixAyez36/XmNRbE94hADhlnl7uNv1M39M7l7SeAAS98P60sbi25QuXaHLr6Mdw2brDpZ4P\nfw7497l7tzxfclp6eXm5GGvUB/9917Nqd3E+6ul8cn/OArJxQrDGHa+T9erGzpWfp1w/idcd6Xd5\njJ8fOYS06HgWVNB7t7yP1HgHLo0fAHMg6BUMpef47+nNsT4krqpqDpbX06a4pDAQb5MRoO7WkB8X\n8bKWwwaiTZs2mD0qWXA8EJJt9OjRQrCT+uaL+T7cJ0in3pYN5rjHcalge710q635719L5Jc05fcy\n/hVFMQKoBDAYQC2AfQCSVFUt574zDEA6NOP/QQBvqar6YH3PKoryGoDvVVVdoCjKLABtVFWdqShK\nIIAPATwAoBOA7QD8VFW1KYqyF8AUAKXQjP+3VVXdXN/47xTjX68Ccv0we/2ou6yguVPICHptnTNf\ntwCcO+VN7oNvdJB9nkpEt27dBDgbNZk58UpRdlE+1uz6FL6+voJRyUcLaO6UL88XUGoo75afB/3P\nV1gNnjQWGYljXIw03ljlmb7MAGW4Fv+++qo408/uvi9XIwf0i0PyleuzCvMAuOak8e/SE4S8wNT7\nDv3MR8T11p1XqnlllofC8fOVv0eF0txFoXkYqIeHh0t+YvPwh10UHhoXKfr1IWP4+esZnvya8GeB\nV0qo6dEmKbH8LQS0PrLi51TKNHg4oArGtLynerSupyjJc+edcot2fdxgARw58s/Xg6B3eT0Rh5yc\nHKFgpzvlj8bEwzr1hDX/rOyQJCPx4+pKAGD1Qvic4mnTpjFoOL9OSy05MCiKoPyQUbbcmivcFkHv\nJr5Ee0eQVpmP8mPmCx7xeybSZzehloN8W4ae8sL/TUvlMCG7MA8qwCI/PK3JPIlX/mX4qaqKt5Xw\n56Gs6jQSXn0JJ7Pf1y0MKivqevtJ69e2lQebk94zfHqHfE67PBmPmrW5Luir7EINypmiU8BT5uF6\nUUGZPmXDiBB57mpz8HtDZ7/z6Bh8+UGBSy6sOzg2/yy1hqJqMl/i+5NRW3wjaP6O194WHFTuZL+s\nL8jrxstPfj6q6lqFm9KIKP2N/iajx/4vFPXs7Gzk5uaiXbt2OHXqFJ7qPwgpXKE1me/zc2e6DhQX\n2D41qufQv39/7NixgzmZ6LP6eArfBwCXwsl8PQ9+bO74iTu7QTwLGgKFL97G99+QQ02vfgjRpgJI\nxT19GoVOpfXmc8CpX/oeP0Z38+PXhprdbnepI0PnVi4K6E5v4mVUTVO46C30rBNNFKNbw8vdOPXk\npN783T3Ln1XZaWez25BdmA+7qjLdXG+PeTQprRcf0KDC5HQTmXxu5DGrqmsdDPrbu599DG9vb3Ts\n2BEHDx4U0s5UVUNqqXBFlcprCLgW/f1PbUojjX/XpK3bbw8AOK2q6llVVW8A+CeAGOk7MQDWqlrb\nA8BTUZR7Gng2BsAax89rAMRyf/+nqqo/q6paBeA0gAcc/XmoqrpH1XZrLffMHd/CwsKw+9taLLNs\nwC3bLWQWbMDOsiMAgN7e3WEympggsNu1a4OI+fXx6cHuTwecgj81Ok54B3kTqf3000/soFA//GEv\nqzoNu90OVVVht9tRVnUat2y32P+ACBO32zXvf9WaHIzs2w/LC/Nwy3YLSy05aB39GJZaclw8c2QE\nBqY9iYf7BGHPwneweMRYFtVVFAVmj9ZoG/c4lhVswC2bdhVNTVMgy5rH+rr0ww8uDJRv/CEn5kJV\nRukd5/6Rx4Q0zxhlRhvY1QdLLTlsbfh52O121F25zL5vt9ux1JKDL44cZr/LSiu9jxq/F6qqwqAo\nCLrbEyUlJew7AwcOxIoiC+x2O/scAAx+3ohY+BK2V1c6lDvXug12u12DnFk2oKzqNNvrVz76h/Be\nfqyyopBlzXcUSzMJyiA9YzBoxm4fnx6MRmid06LjhTUwGAwI7OoDc3w4bHYbFEUrFkTrkJubq3te\nMjMzkZmZiYULF2J7TaVo/Gzd6SJU6F19fHrAoBjwxdHDuPfZp5FZsEGga1oTfi8MioGdAZvdxva4\n7spl4SzINKiqKsprqlyUjmPVZxCU/jQWWdYL544UC74fMvJNRiMmRMawfdUrGCYLNJqDLOy1/kSk\nBdUoMHu0xuHDh13WTm8PDH7eWFHkdMTR2tH7XxjxBCwWCy5duqQpDhJC6PqNG2xcNCb+phIaGz0j\nGzeyImYwGDAxZjhyp2Qgd0oG7HY7+mdMQZXRhuLiYgBAp06ddJWitOh4zZllMMCuqkh6/WXYHbSc\nEhWPwK4+gkI9ZukitIkdzJ43e7RGljUfgV27IbMgVzhbRC/El5db81yUZRqThmLIA6BiSeJY3Kw4\no13B56Avfl/5vSfFX1EUNG/aFC2HPQJAcwBmWTXnDE8zpKC50pnJBR1gV1UkvPG/6DfzWaSvXo6s\nwnz2WW/v7pgWodVCIL7y2LyZ2FV2BHZV5IfyvvLKu2fLlsgsyIVdtbt8h/6fFDscBge/4fstqzqN\nP/zhD8L6PPX2a0jPWcP2L7soH8YAH5RdvwK7anc5F5NihiPipRku599p7PhARjAtteQ45LMRE6MT\nBJki98/v29ZX33QxLKgwWn1neFnBBi0yajAIvIL6knk2AIH/2uw2dE1OwLmmYPJD5lc3b9nwbc4m\nXf5CPx+rPoOA1CfQKnKQsKck793xH3q+27gRmLx+lYuyHRYWhoyMDJe/bas6IfSVXZjHCp/9Xi0l\nJQVz587Fwx27YNf8tzHRIf9k5yP/71j1GSZTNIcTGO3RfAAwOjrz3kcIa9cZLyY9hcCuPgJv5PeY\naJTfb/oej2gifrOsYIOw14CrvHJnKBLd8PxswvLFuPfZcVo/ikEYA/FhXsbIZ0BVVdz77NPCeaEx\npUbFY0XxNoaYo35oDUhfaBU5SKB14n/Usqz5An8gupRlIf88yXSZB9FeyshXTf8yuBQ6ltePGo0/\nJSoenp6eaBLYXdA3bXYb2sQOxq5va/Hh/t0or6kS5iTrNPwe8nMCIMhifp6kk9La631H5n+AhkJI\ni05ghvSygg0CT6Tv87T6z0+2YZllA5qYnM7a1Oh4DBkyBNuqTrKzIMt26ovWSy6Cu8xRaHnfG8sx\nL3oEliSOxYq0aQjs6sP0uGWOq0t5p6G8J6qqovfksbq86E5vv4Xx3xnAv7jfax1/a8x36nu2g6qq\nXzt+Pg+gQyP6qm1gHAAARVFSFEXZryjK/gsXLrif2X9Qy87OxozHIjApdjjKa6qwyLIeKZFxzLji\nD6ddtUOFq0LBE7eWr16A5dZc3LLdQt2VyzAajMxYybTmonVr1yJ3/OH/4uhhJLw9H/FvvYrJ61fh\n/ROHEbFwDt4/cRjpOWscxeTs7IAC4BT44VDtKvpnTMW/mimY/8xE3SrWiqLBhficdLNHa0FolFWd\nxqvjUjUltjAPW89UoLKyUvCgy4qQLChpbnyf8ryJyUyKGS4olsSUiUkbDUb8MSgE7ROHCX0QI6ax\n2Ow2ZBbkIi06XlNaOeWdmHBmQS7e/exjLLM4hbNsxBkM2n2qZLwAmkJ09NolZpyMj9DuabdXVmPj\nzL9hsI8/siQDgxR1YnbHfr6CwK7dGMP+68gnmTF2/cYNdBgRgWPVZwThzIQFXD3MRJuZBbkuigY9\nC0BwGJCAMhqM+OzNZcgusuCWzWlcl1WdRkKCaAxSy87ORnh4uHZ2ZsxAVmE+M8R5QcYb6oKRGJ2A\no++sAhQFWYWaM82gGPD5kUMuRqxmENqZsKOIW9tWHoLjiZ8T0QBvNPL7cGTJe5geO8LlPMgCmXfI\nyI4Efl3pO7LyzTs0+DESXyDFhlfugoODMX/+fMHhpNfq6uowITIOJqMRKVHxmGNdj7ZxjzMnTkpk\nHMYEBGPPwnfw8L3BgtGlKAqamIzMkcbTEr+G/NxovvznMp3RfhkMBqRFJ2DX/LcwJiAYzz/4KI7k\nFgprRj+T45KcqJd+uIqQkBCs3FSAWzYbymvOMgfQMssGvPzRWkQHBqMuf6tAqxSVTo2OxxdHDsNm\nt+GLo4fh2bIlG6tBMWDUo48Lew44Iy0mowkToxMwITIWJqMRk2I0mSDThazsyXS2N3MVJsYMh8lo\nwqTY4S7pXzw/kulMliUrNxVgzJgxGDfgMeyY85oLXyH+BmhF5Eb27eegC5Nu7i31T7RJSvTEmASh\noCh9Ju8tALamNrsNSa+/DG9vb4FG+vXrB0C78slkNCIlMg51dXUICQnBCgefWWbZIMxl1vDR6O3d\n3YXGeAc7rVGnpGi88tE/hDV8cc0K4azVXbnM6IOfO68g01oMCApmNLbUkqNL46MefdxlHDyfWlaw\nQTBi+GedzvkN8LEZUd3Ezgwsfi/JCcifE96BQOPfkDEPlwt3CPQvFxeUDSy6neGDDz5AZmZmo5Vt\nqpdAY/q4uvL/RFEvLi7G+GExAmKClzNeT8Sh27gRWhE+gwGBXbthuTWPOW9TouKZE5Snu7ToeMaz\nJsUMZ44FvXXU5FA3JpNIRvO8xOnM1hA4ZLDxgRtATBORzz1Ps5pT04ft/Yq0aTi2dDU79zId8mPh\nG83nWPUZtGvXDueaQjB+VVWLiq+ZMgOTYxNdeBR959IPP+By4Q5hrJ8f0W66oWvfttdUMjkU2LUb\nFuZ+yPqhZ/g9oPnJ+ic9w9fL4edDYySDs1NStMAD5LNqt9uxcqOFOa943eHSDz/gUsF2LB4xFjvm\nLNS9aUD+XTbcqT08NdVFzwU059Mfg0LY+hJd6PWjFwAiOp0cm4hLP/zgIn+pD/oO8XSnDnMWly5d\nwuM+AcxxxO8F6aDy+vF0MClmOCbFDIfJaGRni2wP2qcB9wbjyJJ32RhlmU+09u67794WL7pT2m9h\n/P/bm6rtyq/LTxD7y1ZV9T5VVe9r167db9Xtv7W9++677KD38emBU+9+iPKas4IxA4AxvrRoES4j\nE3b/jKmobuJUmkgBM3u0htGgRSlyX/ibcMDqrlwWclcnRiegslIraBcSEgLvmwo2zvwbvG8acP78\nebyztVBQ5mmcdFgnxQ7Hrvlvabk6Um4hfxhlxZMXRKqqIvyF51iUeVLMcOSkz8SfvP2EvmRFiP5G\nBhvPYJdZNiB99XLhWjB+LAaDAZ4tWwqeYqPBKOS29/HpgebNmwvPUeOVfF6ZpWYwGJhjYGJMguMq\nOQUJb89H3z+nCJEnLXJgw8pNBS6RjuTkZGacrNxUAABMMUmLimfID55xAoC/vz8yMzORnJyM7CJn\nBG9SzHCm+DVv2hTNmzcXogi8IkhrIQuMrMJ8DAgKFhg1fa95+MPCGtlVOwbPmiasqd1uh+8zozB4\nzvPoN/NZt4XnKAdzS8bL6NekFWbNmoXsT7cwTzmNd5llAzMSPFu2dDHqyShIdUR8aW7kQeb3s7ym\nikUTeAHHGzfm+HDsPOpEeWRZ85nhxvdF706NihP2W0+4802O6pAixRvue777ClkO1M2ygg3Isua7\nIDB6e3dHljUfni1bsd8Du/pgWcEGvLZjI3xsRmYs1+cAGDhwoECDM2bMwKZNm7CiSPtblkPxpf3N\nsua7GHwKFCEaBkAwjuR1ybTmYshf/+KyNnwT99jEFITxw2LQsWNHZFpzhT7N8eGMTxCfLC0tUgr4\nQAAAIABJREFUZUgaXtkeEBSMrz60OpQPE9q28oDNbsPOo4excqOFOQsmxWqfa8UL84XzIyM86DwI\nfIiLqPXx6SGMV3bolFWddqEz2Zjnm2yg8mvJn/e6K5fRJmYwPty3C4cOHWL8hU/b4Z9RFIVFiLId\nNCh/j28GxUmTcp6ooij44shhFxlD3yel7tIPP+DIknfxJ28/B9rMhuyifISEhKBPcw+GFFi50YLj\nx487kBSxWkHJisMOB7lWDyE1ymmEkRNAVj7p/bNHJuNf74vVoT97cxkGTEtjRodny1bwfUo/z5an\nU9ovMiQMioLXdmx0oN1use/IdMP3pSgaAu2Lo4fR5cl4xvdko5HOwUcffeRSsIx3CNZducwivvyZ\n5cdLzp2OIyMxx7qe6SWyEUnntn/GVBgDfNwq2iUlJbpOx+TkZIdz14aswnx2i8zv3cxms5bi5NCT\n+D0we7RGRuIYTI8dwZw4y625QlQ4uzAPpp7dMWju81hqydF4tGWD4BCQ+R7vzFVVzRAnPpNdZGEO\nfPpcURRkWfM1Pv6UJst4JF6WNZ85vWif2rbycNGfACfNpkbH4eYtmy6tkgySaUXuR6b1T+cuQpcb\nrms8dckbukavvNaUanDLdgvHqs8IzgIVwNChQ7Fyk5Xxg0ceecQF1UN9ZxbkCmgm+Vzp6bcyMube\nZ5/GsetXkJeXhznW9YwH0Od1Vy7Db8JoDJr7PFbt/ARz587FzfIzQhFWXk/nHRC8bi6PX+apdJZf\nfVq8pproi0dR0Fx4NCtvA7gL5sj8iN8j+TuAWE8qsKsPioqKtOupHbowrRXpnvQzjzihfzJ6kF8b\n+t8p8026aErqe83uYlcC/H+k/RbG/5cAvLjf/8fxt8Z8p75nv1E0KD8c/3/biL7+p4Fx3JGtpKQE\nT/XX4HOywirDQ+nA1efNyizIha+vLyuQIUOvSNHSg2TTz/R/2TurcGi9BTfLz7A7sVOj4pA7JQNl\n76xCeU2Vy2HkmZHJaEJKVJzLGAEtH0hmqmVVpxE4frQwr7Zt2wrrRZGxzIJc4X10oHkGnlWYj5Ub\nNUMks2ADEt6ejyaB3dG2bVumnOoJXIK18+vDK6d1Vy6jV69ezIjglXDqU6/oCeCAeBbmI5Xz9k+I\n1DJYmjZtKhghgV19ELHwJd3iRmFhYQhKiMKi0k8QlBCF5ORkBuUkJZxfc3r/YG8/zJw5E8XFxahp\nouVFyfldBKPl18QcHy58Vy7Is9SSg9clGDsvsN+cOE1UYgrz0alTJ8HrPDk2EWdXrceBN7Mw7uFH\n0adPH+i13Nxcwaj8dO4iHHgzyxWqCpUZRUaD0UWp0Az0PKZ8ycJDFvYqXOHL9C4AeHlsigaB56Kg\netdo/XzzJlRV1c0Pl1Nq+DHQzzxcPrBrN63A0hNxSF+9HJ07d3a8R3snf58xf/5To+OwoijfcW0R\nmKF64cIFZuSNHxYjIE7kJtNgWFgYysrKoKp2QFstIRJJV4sRjRsMBkyKHY4sq7j+eoYSpUMZFAXn\n1uW5R6Vwf6N1vn7jhqOSvwUA8NZGp9GmKAr+96kJLKJK36/I+gdunTiLu+++Gysct0QYFIMLfdPa\npUTFY9a7mVhuzRVoJ6swD3/7YLUwL/5sUIQuqzCfwXNp/2Xjk76XuGQh5ljXY+Cc6fAZm4jBs6a5\nODn59ZNplr4LQKi+TntA6S0AcKXwExTPex19mntoNQS4PuWoPP+e2WtW4LF5Mxn6jF9v+p/kEPXH\np0soisLohdaJjxLKivKkmOFQVVW7Mm54NDZv3oyJMU7E1XOZb2noOkJDxAzHolFjkRKlFVXdfeFL\nhmbj90CeFzVy7vDr3MenBy4VbGe0lF2Yh3vvvdet0SFDc+n/FMc5bNKzO+7/y0TmBJBTKPhn2JpF\nxaNTp07MUUnvyrLmM8PVoCh4PnakC01kFeajT+qT6DgyEp4tWwmRNAACHJqXmXfffTc6duzIDCi9\nMQLArvlvw15ZretQpBoiek7HsLAwBCdGY1HpJzAG+KC4uLhBVNJv3UpKSmCvrEaK47pP0jd4mpzo\ngEUT3fBBGlVV8dHBPQCAUaFhSIuOR3lNFVKj46EoBgya+7wjBc3GHC0kE6mpqortNZUIGq6thSmg\nG7vBhsakKFpdgbB2nVGzNlfga9qZisfSbYUCbQAirct0bzKaBEQI/xkgQvONBhEVwTf57E+KERFJ\n12/cwK0de5h8kxuvn2i59rnMuc33nRoVj7q6Ohj8vLUirpFxeLiDF94/cRj9Zj4rOD8AsHSbTOmc\nAc7bQsihLjvDqHjms+FRWJI4FkdyCzF06FBkcw7fsqrTiHjlr+jUqROWjE3DnoXvwPKXl1xq2+id\nZ0CDz/MQeVp//mcaJ6VmyQHCZQUbBJ2Z1pHk2h+DQjRj35rrmKuW4w/FuV88z+dTr/i95fdNRvSR\nHvbh9NmMFxkNRoFGyZi32+3ILswX9GFVVdF5dIwwD74eGI1fdpTwP1M/5TVV2DX/7QYDHHdq+y2M\n/30AfBVF8VEUpSmAUQCs0nesAJIVrfUDcFnVIP31PWsF8JTj56cAFHB/H6UoSjNFUXwA+ALY6+jv\niqIo/RSNypK5Z+7oVlxcjJTIOF1hwjNGnoHzHjcifPKSTYodjhmPRQiR7aWWHAFaLufw84yE90AT\ndFZmUmS0Bnb1EcYgj5OUjiwu/5+Ei55Hrrd3d8x74mnGfLIK8zF16lSmlPFt5WfbmDFKc8oqdCr1\nqqpiZfE2rNr5CRKXLEDIiFjMmDEDthNVyJ2SgbToBCy35mG51enZJOZjrTjMIpp6XmyzR2vE9grB\nsm1F7G8A8Mhzk3Dvs0+zPvlGc6XvkkGhqhpKYF70CJQsWMIYITG/hIQEt5ESPkcyLCwM/zywm72L\n9sBmtzEoNuVEEwza+6aCRZb1wjNLLTl4bcdGpAwawughqzAPGzduxMfVlbpoD0ArqjI9doSugkqK\nPBkCyywbABU48GaWoFzyxun4iBhW1E9uwcHBgkJN9Ej7Tn1Mjk0UjGt+3GQUkHE8aO7z2hVIcBVs\nNLZJMcMFTzghSchzTVfU3bLdgqIoLtBN6ocUKdlZQREI+p3GItMRPa+drzyMCg3DuX/k4dO5izAm\nINjh9DOy2hn8/tK/FUUWGAO6IXHJAmQ6op8riixISEhgkSUenuiu8TRYUlKCWyfOMqcjrX9Z1Wlm\npMn1BgDg5Y/WYvL6Vejz7DgXpZR+7p8xFWXXrzA4OVXeJoRDhxER8E8ZIzgFeCSLd7KWc7skcSw2\nZMwT3k98lv41b9qUORlz0mfCrqos15rGQ2eFaptc+uEqLlo+1i389OWHVt1aIH3/nIKn3n4Nyx2V\n1/lxyMqvtgZTYAzwQXj3nshJn4URffvBOmc+zn9UxCJzx6rPCIqirCSWVZ0WolwAGK/VDJBc3ahJ\nSlQcFm/MF5BZRFfU9zLOOViXtxVLxqbBcvwQu1eepz9RDtm0q1NrKlkkk2QHKX+9vbsjLTre5Vzy\n9J0aFYfz589j7dq12LVrl/D5j5s+03XomYwmpETGIqxdZ+FWF9m5pIdiIBqQjXsmS1UVO+a8hp1H\nD6NTUrTL2CkqKyvV5TVnsXHm33Cr4gw+nrcIk2MTYTQY8dEnH6PDiAghUkbPOGHeZ7Fr/tsYEBQs\nGAXnmjnHTc4/ftzkEPnqQys+XrCYKefEx2itqE9+HtNjRmBJ4lNQVdUl4kmNCgy6cyjykHp33zl3\n7hzsJ6sahUr6rZsM+acUBgWiI4w/u/x6AcDIvv24QIoTkTQhMhZDhgxByIhYLCr9BHOs613yoVVV\ngynPmDGD8dw+ffoIhiPfCM3Gn1ON7+cjKirKwfM1WcwbU4rivIau16SnGDKmPkNP1geoEDXpUzJy\nRJar1BfPr0lX1KtjQXV4VBUudTII5WM2m/Huu++yoFVKZByuXLmC0tJSnGsGF9pPiYxD2fUriFg4\nR0DN2FU7jl2/guomKqu1ZTQY0du7O5YVbEDoc6lQACZzxw+LxuLFi0FTpPV4MuwRfDp3EeNBvAzn\n11BOdSI7gE/94hvxoIS356PviFgsXrwYo0IfEiD11MeAoGBWOyvTmovktxYyuUbnOzUqHku2WNnN\nN3wRckoToj2jdeLHotUtsznqkzgdSTyKuY9PDyZTefuly5PxWLTrY0xevwoJb8/Hx9WVAmoOgHZ1\nYXS84CBz0rYF6w/ucamrobdmWgpnwwGOO7X9auNfVdVbAJ4FsBVABYD1qqoeVxQlTVGUNMfXNgE4\nC6043woAk+p71vHMAgCDFUU5BeBPjt/h+Hw9gHIAWwBMVlXV5nhmEoCVjvecAVBvpf87pfHQ2fKa\nKqQ5CJtnxja7DZ2SollBQBL0vPeR94DKsNk3CnLQJLA7Jq9fhfi3XsWguc/j8yOHYFAMTDnnFUC+\nQIysjPLMermj6B79LitMALB0WyGCE2OwqPRT7Kg5JcxdFgIUBV+961Ok56xGcGI0UlJScPTaZRej\nM/XRITD1dM4p4e35WH9wDzNkKHdsz8J3MC96BMrKylBcXMyKZ5Fx+NHBPQiblS5ANQcOHMiKmfGF\nd3hmOiEyDn5+foKQq8vbimNLV0MFBMbHGzRkJG6rOonMAs3Y5JEYtHbHqs8gJSrebaREbiUlJRjZ\nt58LM84qzEdKSgqyiyyS0mtEWnQCTr37obCHO2pOoVevXgyWZVdVHL12GQAw2MdfgCPzc9KK9cQJ\nghMAo88VRRaYenZH4hKtijzlC8oGFf0zKAaXQoc0Tx+b0WVfyKDiYZL8GPl/hDpx0lwcrl+/zmC/\ndtUu5GkLwkPRImDLLBvQ59lxKPnuS5ZDXF5zFqmO67v4pgeplQ0LqoKbyiEHSPmgyJ+7NiHSmbbA\nGzjLrXnsLPPn2Wa3sz39k7efVqXc8a7Fixc7lA99lEN9jXdk8uurh7jg2+xRyUhOTsbUqVOdDqKC\nDWzemdZcPPPMMxr81+qMPjO0EoCXX34Z48aNE4xHPh/ZbrdjfEQMyw+UzzNPJ/wZIieAXq71pJjh\ngGOd9SDZABz5u0Z4tmyF9onDNCesgzekDArHgTezBMgq/zx/No5Vn8EzzzzjgN9Hs3oAsjKpXVmY\n76I008+BXbth6dZCFmXUkAQLcPTaJQQGBjoikeL6ER+ZMixWmCftpd2u5R6nRTujosRnonsGsz5t\ndhv+kDAEvSY9hYFzpnO1ZF6CKaAbZsyY4ThLtxxFncSCYnowTj5HlJyoS0eMw/mPitwaLHJqmUEx\nsEr9msM7XkBHAMBya55k0GgKdNPAHgLMl8Zy/cYNTI5NZHzWZDIJPKWs6jRLg6FCh3TeSTFNiYoT\n5psaHYf+/ftjRVGBsL921Y5Ri/4X/TOmMGg/yRO7quLY9Su4cuUKUqKcZ9NoMOKLo4fhMzZRt8jp\n3PdXsd/5tVpuzdV0BIcustSSw1AQvJFC36fzSygjvRQ2wDWFiP8OoQKWJI511EL6/ZV2fnwUcZ7o\nCIwwiLRkUPN8Ti+QQnrXyk0FuHTpEqZNm4YtW7YAEAsykjFOt5iUlJRg4sSJGD9+vGCc0T9tvS0u\nPGBZwQZUN1HhfdNB74oBBoOC9Yf2CPuvKAoUaOmomu72CaatXy1Aw2W+CUDgt8//czWWFWhpd9mF\n+Xj/xGFMXr8KA+dMFyLvND+5SCohL7WrcDWdjtdHCTXGG7lLLTkYNPd5GPx9YDtRhV3z33JxigBA\nbGwsdpUdEYr3ltecRUhICObOnct0Je3vVbh69Sq63lSE2k2kP44f+LjLuTq2dLWAuKu7cllMS1BF\n9B6dk2UFGxDztxcE45XX2ZZacgTnGn2+o+YU8vPzERYW5tBxnZB6+VzPXp2N/hlTUNNEReqjQ4Vi\nxqTDHH1nFXOaAGBnOOdQqbCOWVwRX77WQuKSBdheXcmCCFmF+Xhs3kzBriHkC7/OL774IhYuXIiQ\nkBA87uOPnPSZbF/pPSRPA7v6CDYB0TY5PvgAp2zHZBbkMkSwO350p7ffJOdfVdVNqqr6qaraXVXV\nVxx/W66q6nLHz6qqqpMdn/dRVXV/fc86/l6nqupjqqr6qqr6J1VVv+c+e8XxfX+Vu8pPVdX9qqr2\ndnz2rHq7mul/aKOq2VmFecz7JufgrNxYgHnz5jmUQQU7y44gPWc19ty8yrxk6w/tEZgnvzyn3v0n\n7JXVSE5OxowZMzCybz/GjCiCH7HwJRgDfDBkyBA06dldMIhlhdjJoOPZ3zTF0sflO9OmTWOe6hkz\nZmC5NdelP/o+MYFd899GUIs27DMtv93KBAAVuaurq0NmZiZmzJiBx30C8OncRZjoyDdduq1IcIbk\n5uZi4MCBAhwSAK5fv47FixcL+WFmsxmHDh1iUUYADGZGSjPlOO+5eRV+E0bDs2VLtp6pUU5INc/g\nicFmF2mRMF7RliGgfJ5yY5Sc4uJipETFu+xXalQcfGxG7TYJHSOSz51bbs3F0KFDXRSx5ORkrF27\nFmmcYUqNp9MVRRbBU0uM1q46YeiDffwFBYgfKxkIhFKQCx3SPLUIjEkQroCGPjAoCkO5kEDyTxmD\nZo/3Z/3KFZqzC/Pw1EMDWX7wiiILEw7LrU6l5Fj1GVZtf2JMAo4seRczHotgOcSa4q2fMpBVmI9p\n61djyPzZiHjlr4IjgNJARoU+xASmUympQsmFLxmMkIQa9Z0aHc+idDxioe7KZVYYJ7MglzmaKDIS\nEhKCWxXOnEOCYR5ftoZF7lOj4t2iL6jxebpOuhGLSslGmF21Cwgneg/BarML87GyeBugghlm9pNV\nKCsrA7EN6o8KjNpOaIWEtHOnOUg9W7bEMssGfHH0ML78oIAZ8CzaXLCBoXTcOY9kpZh+pzVLiYpz\nqfZMsHln1EM7R8OHD2dFAVMi45iSxit6tL88/SiKFvnevHkz7r3LU9cBx++tqWd3JLw9n/GqTAZb\ndSp3imJA4pIF+OeB3Rjs7YcliWPRp7kH41uZ1lxMW78a/WY+i4FzpkMBXJBox6rPYNDc5xE2K53R\nPo2Hp0/qc0VRAV4Zm4Kj76xC0v394eHhwWrJ2Curuf3VjI8UyRHG0xQ1Ho7MO1H52i38M/yzNE56\nB9FBeU2VS+QsLTqBOZY8W7ZCxMKXEJIYg5SUFMyYMUOQT7wzhsZetSYH5TVVzDjcefQwJsZoTqWJ\nMQmOz2zs3TQOYZyKAeHdAmAM8BH2t7ymCkffWYWn+g9Cec1ZgR5WOOofyHSjKBpMvUOHDi5542VV\np9G5s1hPmQwAU8/u+Oyzz3CumXZDBA9LJzql6OLyQi2lKjUqHoCipWTopLAB+ilE1PioO9EfFQ77\nPduRHy8icckCABAMQU2G5MPgWMMBQcHM+OMLwgEiHQd29UF2UT52nj/HCqMWz3sduVO0Kwyp4PKg\nuc9DAZCTPguHc6w4tN6CpSPGoeydVUJ/jN4AVDfRblXgdcJzTQFPT0/Gd8jxHRgYiOUOGUL0kRIV\nj7lz5wIAMjIysG7dOoSOjGP6Zrak3yiKwuqffHHksFaU2YFwSHPUj+rSpQvGjBmD7TWVAm8aNPd5\nGAwKq7Px+ZFDnLPIClPP7kjPWc0QoPwZprNLxviIkH6YP38+UqOcuhuhF5OTkwHAYSCLBUkDu3bD\noUOHsHbtWizdWsh03z4+PRDWrrPg1Bb4W1ScS70VPtq91JIjRMjJmB344nPsnByrPqPRzb3Bjnpf\nVUIKFr1L029EY315YR46duzIgiRms1ngt1TVn1pd3laULFiCrjfA6IBoMcuaxxyPNP6swjyk56xB\nTRMV169fF+qqbK+uhJ1zQMJBo/OiRyAnfRZUFUjPWc3sCmcdE6pXwae4dkNdXR1DDxI6ZnJsIktJ\n4NeV55OZBRvQpGd3gbbtqoo51vVIz1nD0nNp/fnUGXf86E5vd0TBv/82rWp2Kme4UYG5TGsuEt6e\nj6Dh0Y7K2lS5OBZbtmzBoUOHEBISgvDuPTV4YdkR9Jv5LN4/cZhVP1dVVTAi165dyzyVAJjgSkhI\ngL2yGs8/+CjsldXw9fVlffBIA1JeSNkjhZVg6rz3+/0Th4WCbWFhYTD17M48ubJnjqqj6xm9JHhJ\n6JCRDkDwdmoKebwQlaeq8WFhYQLkq6zqNJ555hnx2rLIONyqOCMUi9KYswJFMcDUs7vANFJSUrB2\n7VoWjSFnjTGgG9JzVrPxZlpz8dqOjewdg739GJMuqzot3NnOM6oVRfm6nkm5ONJA7vo/ehbQjKPx\nw2LQv/3/IDUq3qWOBH2/vKaKIQ3Kyspw5MeL9SprpAw2DeyByetXYfL6VTAGdMP26kqn8mfNZcbO\nhMhY5ObmCkKUjHa+zxVFBfV6ZeV5UgSY3/vtNZWaUeeY54aMefh52y5c+uEHIZVDozk73tlaKNR4\n2FZ1EgZ/zSH2cbUTikzXsPGwfh4ux++nnFKTGhWPXr16YevWrYiNjWXF9jxbtnQoKtoaHfnpEiIW\nvsQ+D+zaDRcuXGCGkF1Vkb56OTtDKzcVMARM2Kx09hy/JqnRcazGhF1V8eH+3Vi0aJELH6D1bGyT\n83QBICghCo/NmykY/HxeOSl0/2qmCHM4f/68s2BltFYIk0eHjI9w0E+UM4rMR5AmRMbB+6b2P125\nZzKakBodL1z3AwCjFv0vFpV+gpARsQgZEYuEt+djuTVXS5WCCBNkDiwOsnqs+owTcVUoFn2jPSM0\nSFZhPjtHfJHO7KJ84ToqUgr7POtEL8h78dVXXzE+p+c4s6sqjvx0CSkpKcjPz2cwYlPP7jh67bIQ\nGZ4QGYs/dfXTHKYOyOrEmOGw21UtTSoxBuvWrUNpaSmGDBkiOBbpvYFdfRAYGOhwnhaw+fb9cwrj\nASuKLNhWdRLpOatx9NolVn1//LAYdLkBFmEaPywGubm5zur80nnieSIVS+Mdq3zj5RGlv9EayUU6\n+QhtpjWXrT/xApJ9mkPQwuh17ty5jC+S4crze9kBT7wiqzAf22sq2XmmMQV29YF3coJ26winkOs5\nROvq6pCfnw9Tz+7omfoE29OUyDhBoaa10RzZIt1Q69Spk0uKW2/v7kgZFM5QOJkFG5Ces4Y5OwDg\n8OHDLmlL1LZXV2JR6Scou3YZKVFO/t+lS5d6FW29q/4AfZ7fx6cHvG8qvwv0n0ceDPbxFyK9qqqy\nqDyfkiQ79VpHPSbUCAKccPPS0lKhlggZ5Q888IAWrAkNY2d0QmQMk1W804qXNSlR8fC+qeD0ex+x\ntLfArt1QXFyMLVu2MAcR6RfJyckISYyRHEpa6gmfXkFX7Obna3ei8wY5Xy9nUuxwnHnvI4F/Dfb2\nw/MPPop+TVohJ30WFMWA9JzVCBmhpTzw6LXJsYmwqyq7prWurg7JyckITowRUCe8XsoMZOndZJge\nvXaZ0RUf3OAj/32aezCnCo9g4WU7VfQXjVgn2swpF/KQuGQhjAaD4EgsqzqNfzVTUFpair4jYllB\nWV6X4G9lev/EYVaLAIBk2K6GQVFYrYGZM2fCduIsJkTGsatNmwb2YMEQep6c1uQoJ12GkBS8zgso\n8PDwcN7a0ycIvs+MgsHfx+H0LGDrQGedT2cBwOyK/u29sLJ4G3yeGo7d39ayM01O64EDB+qiB4lv\nkrODL2JsV+1Ys7sYffr0EfZ1RZEFHTt2RHJyMpr07C4g3fjUmf8XDX8AMJLn7v+vLTs7e65etfD/\ntGYymbDZakVwDz8ocOYj9/UNQA1uICkpCSaTCRstFtzn3xMGxYCpsYkY1isYe3ftYtdthfj64/DF\nb9ChQwe06NIJ7+3Ygi+rqhHcwx8rNxWghVcntL98Hff7BwJwKLbWXJxrCnz66ad4Y9xEmIxGBPfw\nhV/bdojs9zCOV5/Fazs24tSNH/F9MyO2nypHy66dcWBPKYJ7+CG7yILnP3wPr+d8gAd9Axx3KlvQ\npGd3zJo1C4AmPNetWweTyYTY2Fjc8miBBR+uwY3vLyHULwDHa86iXes2UBQFx2vOwuzhiZWbCtBv\nWDg2b96Mrz4rwYtxSbjy3XeoMtlx9sQJpETG4cCeUtxsdTe8vb2xyVKAUL8AqKpWZMs/7AHU2m/g\nr9lL4eHfHSkpKSgpKcH58+dhKd2FWZlv41a7NmyM27ZtQ/qjw2AyGnGff6C2zg7oVDvPtmx9X31/\nNU6dOgWz2YzQ0FAAgJeXF255tMD8D9Zg0/HDCE8agdjYWJjNZmzbX4rN5YcxZPRI/PTTT8I79p0o\nx5TVmZiVkASjwSgosiS8nn1vGebNmyesYW1tLY7kFiJ90FBstlpxs9XdCAsLw3uWXAwNDIbRMe7j\n1WfR3rMtjlefwZAHwmAymnB/QKB21U5rJ7LCYDCgvWdbGA0GBPfww/7dJZgdl4SvamrQMdAfXl5e\nMJvN2GQpQHAPf2QX5mH1kVIMGT0SsbGxiIyMhNlsxvmde7HgifE4dOokVh/Zg859AhmdrNxUgF4D\nHsK+3SW4z78nFEXBXc2aCXNebs2DqWc33Dvoj/hg16foNyzchTl7eXk55hkkFBdiysxGC35sZsKL\ncUlszzq2/QN7X0DKGNxq1wanKyoQ4qudi0sGFSMfHMDGsr50J7qrTfDGuIm4fOE7HDp1AsE9/FFe\nU4WhDzyELGs+m4Mz8pOnOT9OlbNzsq+2WnhPv2Hh8PLygslkYvSqKAou/nAVdzVrhuPVZ2Br3xYj\nR47E5gJtrVdutKDXgIeEdXxiymR07BXA1oj2oHfv3oyPHHfssaqqyC7Kx6FTJ7W9K8pHWngkXk6e\ngItXr6J506YCvdHPZPQOGTMSXl5e0Gvr1q1D+qChDp7hhw92fYqkpCTs3bsXw/v2EyJjNrsd2UUW\nrD6yB+FJIzBu3Djc8miBD3Z9ihZendDNZsL9/j2FyDqvYK+Q1mFFUQEAFfc5nllemIcUR7Tn/oBA\nHK8+A7OHJ1YUWbD/RAXuD9B4XlnVafxsbo3mzZvD29sbYWFhqKqqwhTHueTPB/ESU89H4p0mAAAg\nAElEQVTumLzoFYx7bAiMRiPMHp54KGMKDn3/DTr3CcS+3SUI8fXD8Won7zL6+2D7qXK06NIJTZs2\nZe+62epuLPhwDe5pepdmRMAZvbqrWTP83NYDZ0+cRKhfgEDbWYV5CH38MTb/rKJ87D9RjhDfADbX\nlZsKEJ40ArW1tVi3bh28vb3h7e2N8zv3YnbsKNiv/8zR8llEhj0srLOiKLg/IBAXv/0WHXsFsH2v\nqKjAvl27EerXE4BWrPWuZs1gUAz419mz6NgrAB0D/TV6jAjHyy+/DFvrlljw4Rp0bNocC54Yj69q\natCpd09ObuQjNSpOKI7X64/9BTqnNdxXW41T5dpcs4q0CCvJDbOHJ7KsudhfWYEQXz8st+Zhxoer\nsO/bLwX+Y+DOat2Vy7irWTOUVZ3G61ssSH5kMIxGI/r6BqD8x4uorapi59vs4YmIhS9h1ORU5xzd\n8KXIyEgcrDmL/btLMOSBMAc9tGZ8mGT6F+dO48uqarbHRN/X7m4m8KGswjyE+AZgRVGBcH5bdumM\nGzdu4PzOvXjvuRdQ7liH7KJ87D9Zgfsc+6QoCkJ8/fHKulVQf/4ZwT38kVWUj30V5ejrp/08POUZ\nXLDdwOiM6Zj3xNMwOqLrIb5+OFB5AqH+gTh46iTCR48Q5nzt2jU0vfIj2ns6C/LSmBNSnkFSUhKT\nGSG+/lhRZEG/iHC3vKS+JvN8otUQX20/BgwYcNt93k7j+VyIrx/Ka6rYftrsNqw5uheTJk0SeC+/\nLt9fvYKXn05D82ZN8YfWrdkcbHY7Vm4qwD29AtDB1JQ9Q/TQb1g4iouLMeXRYTA6HDfLC/Jwf0Cg\ncGZtdhtGvbUA169eRYivRiOUHqG9R0OHvDB8DMYOfBztPds6dBs7Vh8pRVpaGry8vHDlyhWssubj\n7YIcvJQ0VuDr/BqXlJSguLgYMTEx6NgrAPM/WIP3dmzBxW++xX3+gYLj0ma3IcuRP24yGpmeEeLr\nj+M/fI+kpCRUVFSg2dWf2PwVRcF9fj3x9GNDcE+T5ojt1RebrVZcsN1A7+YeSImMQ3aRBV9cPI+D\ndV9jX201Ko+Xs3WRI/QrNloQnjSC0Z6XlxdutrobKa/MwTOPDoHRYIDZwxOh/gGM/s0erbHcmoe+\nvgGMF723YwvuaXoX1s2ai4OnTmDKqkzUXL2EHy5eRF/fAGQXWTB/qwWf15xG+OiRuHnzJtIfHQaj\n0Qib3Qbv5OHAPe3g6ekJk8mEsLAw9OjRg9ENz6OO/3gRmZmZaNmyJb4prxT43cpNBUiY8DQuXrwo\nyN/TFRWYGDOcre/2U+WYNm0aVhXkCfqSqmqpah9XV+KVdaswcViMgJ6Sdd7RGX/BG6lToCgK2nu2\nxZSY4dhfUoKOgf6MJ7bs4rQJeHn0zc3rmB07CiajEaF+AUgbEo0/x4+Eb5s/4Nw359HXLwBZDt0p\nNjaWs4V8cfHqVcandzr2+lTdt3gxPomdh+PVZzErYTQ2W61sPCR3ZseOwiZLAY78qxqd+wRi+6ly\n9Itw5d13Ups3b97Xc+fOzW7oe/81/u8Q45+Y0bS/L0SvDp0YEzxefQb7aqsxePBgeHl54dmX/orx\ng4cJnn0SrMT0O5iaYcqjw3BgTynCk0YICktFRQXSHx3KmNFDGVNw3+OPwfO7K3hj3ESUc0Z4hzZm\ndthf+2gdAgIC8OCDDyIpKQmhoaG42epuTXHv0gm9m3tgxdSZuN8/EEYHw9h+qhwDBgxgXnPZUC0r\nK3MYwiaYPTyhQmWKdcTClzBqUioA4KvPShhD6+sbgD8vXoQV02a5GBy3PFpg6psLcfGbb5ESFY8D\ne0px78AByMjIQGhoqDAOv7btMO+JZ1BVWYmbre5mBhk5V3iDRVO8TjDF66k/Poa/RA1H0ys/4s1/\nrsPgwYPZHkZGRiIyMhJeXl7sfbNjRzEj2tvbW3hHiG8ADl/8BrVV1bjPv6cLXZRVnUb7oF64ceOG\nsIbb9pcyhsoLZ7PZzARJdpEFQx54iAm2rMJ83O8QzGaP1my9AU0YkEKvOQoecunby8sLNx3GWr+I\nIUxhoCYqSJpgnzZtGjN2vrl5HY8//jhKT51AZXk5+vpq9QN4D31f3wBsP1WOpKQk9k69pimVVubs\nWW7NxfytBZrQTRqBoKAgYR2aN9UUq7Kq07jVrg08PT3RoktnvLdjC478qxoAcOnbC9pZcjgPaH1D\nfP2x6sgeLC3Kw7QITYHp6xeA5YV5uM+vJ3u/qafmYBowYABCQ0MxYMAADB48mBm4vMHgVGaDYTQa\nmRPE7OGJ7afKNYPtuGYAHqg8gaBBf3QxPLy8vNgakWPI29sbF2w3MHvFMlwwAfkHS/Heji34sXkT\ndOrdE9tPlePd/A2YN+Zp5gy5e+gfMfuJp3Xho6lZi/Hyyy+75Vu805J3bmzcuBERvUKcTgRrLtYc\nLUX46BEC3dAcNMebky9lWnOZsV535TL6z0rHMzP+gtjYWMZ3Kuu+wYtxSeyZA5Un8EBALzZ+4iPN\nO3dAZO9gdGjTluWihrXrLPAjb29vbMzPZ4pru9Zt0P3pkaj8+Qd06hOIuro69O8vGqZjn5uKtLQ0\nhIaGOva4mDl9yCFjMplwfudefd7nOCu8s6+9Z1u8vuEDjJqcivkfrMG7Ozbjo9Iv8HnNaTaOFl6d\nsP1UOcIihuAehwOIfy8At7xCpmVSoOS9542qkpISnN+5FxMc0RiDwcDolf+ufGa9vLyEeQb38GNj\n/GDXp/jm5nXc06Q5O5dfXDyPWbNmsf2lNWTnqHVLfLDrU5yq+xaz45KY3IhY+BKSJqfhO/tN7N9d\ngpSoeNz86SfmgCX+86+zZ5lz4M+rl2PVp1vRPqgXxowZw/GKfHTuEwjDH9pg367dzGk3alKqy5lz\n15xOZBrfHFwwQXAChieNQMde/myPiW95eHig6VXNoD5WfYYZN/0iwrGnsgKnKyqQ6pBt/L6aPTzR\nP2MK+nbthpTIOCy35qF5M43nXbx6FZOHxWJ/ZQWmrMpEm+7eaAsD+vr1xKFTJ3HBdgP2ymqHE6FK\ncHqRwaZnZIeGhiLtby9h+AMPMce1zW7Dgq0FmD59OgCgtrYW31ScRF+/ABw6dQIXbDewbds2mEym\n23YCmM1mbLQUCPI5uzAP/SKG/CKHwu00ns+V11QJaV3ZhfkIHz2SOfY+2PUp3v9kG4Y/0J854Vs0\nv4udb0IWZTkc6OQILdhXgsmvvYJ1Oz/Bvm+/RHiS5mzh351lzcX6Q3vw89UfEOLrx4yj49Vn0baX\nP4IcTnPeEMsusuDpJYswd/Q4F2cs0aKXlxe7PveviU9gQGBvWHYWuzitAe2a3a8/34P0R4cxgyst\nLQ2jRo3CoXNVKP1il+CcIB1TzzCkfrdt24bYXn1hlByRRoNRCErMXrGMBahCfP1xsO5rDBw4EHv3\n7kWHJs2YDkXrywzxpBEAwIInXl5e8PLyEgzvFUUWHKw8wXSKFRstMDmc+S28OqGurg6XL18WDNmn\nHxuCiOD78UhQXxyvPoMvLn6NlStXMh1QlI9WeAX1hvdNha0dyQORR/kLzop169Yh/dGhAr8jfsT3\nrzlTnTx9uTUXLbt0RmhoqIu+lFmQC8WgYOGTE2Cy23HA4Tgl5zWv85bXnMVrEybjxs1bLO1GURQE\n9xD5Pm8T8PKI18VIftBZ6OvnD5PRhBCH3sf0zFZ344NdxfjkVDle3/ABPPy1QCLpuJpD0Q/LC/Iw\n9MGHXGwBXu6E+gVgaGAwDuwpZfKRp4M7rf3X+G9ku1OMf0BTlqqqqhDbK4QJ0/aebXG6ogK3PFrA\ny8sLqqoK3nZiUsaAbnhvxxZ0MDVjhjJ/GOhQycxo7HNTNYeA46DIRiGgGaDmZncJDIuYJ1PcOUWW\nhAoxdr3o4IABA4SxrCiysMgGr2ytW7cOUx4dKkR4cfMWDlZWIMThkaX30PpRBE/2WPPj4AXKB7s+\nhclkQnFxMb65eR2nystZhEuL+jkj0R99vAV/TXyC7U3l8XLYWrfUZSLuoqKHas4KimV40gjc0ysA\nf0wehSnc1VQ2uw2T/pGNRYsWufS16pMt6N2xE4vqf9/MiNDQUI5xigrAyk0FqGmiMgV0RVEB9p+s\nYM4Am92G5k2bwmgwOph/vq7gJxoqLi52YZ7uDMHa2lrg9DnmhW2jKprnvjCfRev4iCn/vvrOCo+0\nGDJ6JKZPn86ELr8OYRFDcPDrf+Gv2UtxwQT42IxIHzQU+3fvQYcmzfBacgpGPjgAByormDLGCyza\no4EDBwp/MwV0w7s7NrP3x8bGsvHxKI2wsDBdg8FsNjui+875U1SPnHSk5Cz4cA3S0tJ0++GdWpss\nBUDdJbwxbiKqKivRqXdPdFebYHbsKBzYU4oWXp1wn2d7hvwpqzqNu3t4O+jCDwqcV/oAgHrjBuM9\n7vaBN9bIufHVV18xI4a89osXL3bbj8yXlm4txKSIWOagsBzai4yMDPZOPUdXalQ8jBIPGjUpFf/8\n5z/xl6jh7Mz+be1KvPfcC+wsLfhwDS5evIh/bLQiJTySGcJNFAWd+wTCXlmN9EFDcWBPKQx+3kyp\n4aMHNCZy+tA8G8P7sgqdhlpZ1Wl4+HdnSI5Ro0Zh1KhRDFVD45AdQPx79XjF5QsXBH7D0zIp41nW\nXOw/We7CV/n+KIp4vPosMxIpQqm3t3o8gc7D/v37mcJv9vCE5VApysrK4O3tjaSkJJf+9PadlxU8\nckt2WkZGRjrQZmtxT9O7sPzZ6VBv3MC9AwcgLCwMB6vPaI4DB5rs3oEDBGTN7USKZIW89x/7Y9as\nWS5OQBoX7W9xcTFOnjyJpx4axNbkYN3XyMjIQG1tLa6VncQkTrZvLj+Mr2pq2DoY/tCGGSZ9/QLQ\nzrMNjA5HjdFgcBgrQ3HmxAmGFAzu4S8YVDKihZcfenvctWtXZlQAWqWGyxe+w02PFqitrcXcuXM5\nNKE/9u8ucdEjGtu8vLyw4ZOPWYS8rOo0lny6hfGFf2fz8vLCweoz2LtrNyL7PSwgSFbs/RxTp05l\n0fCBAweif//+us5nAELEPTMzk61BaGgoJkyYgHHjxjE5Ru/m0UJvTUjHwcqTmLIqE5OHxTJa4Z3m\nvCHWLyIcly5dEpyxAIRoKwC88MILAp989r1l+L5VM4H+S0pK8NXnexwFUA0uOlZoaCgOn6vC3p27\nNMTKRgvGPjdVcNryhiH1yyPheOQXNeLnMgKuhVcnhmq6PyCQRa0fypiCsX+ZxnQCPaSkrCf0iwhn\nKAYevck7cL+sqmZGsaIoguO+vWdbzF65DBMmTBDohgXJvDrB49tLumvH8yiZ58g8lPid3L8ceR/6\nwEMMGRsWFiboS0e/rMGi5BQYHcbx/K0W1OCmc28iwtEx0B8pr8xxBDxMQr0Nd3yfl0ekJ3p7e7No\n/LnTZ5ljCICArNDTM8+fP4/Q0FDU1dUxfdPpUOyJQ6dOCHYDj6zkHQ5GTtbj9DmmK71nyYXZbL6j\nnAD/Nf4b2e4U45+MhUuXLrFoCOAahQkNDdX1EMfGxqKsrEyAh+l5xfWUddmr3aGNmXkO01ctw4Gv\nzmHBkxPcQsBEZccJ63XHvPoNC0dtbS2Ki4tZFIuYjR7jE5QLRcF9/j3R10+DWBn9fQSjy50BKn9G\nCm92UT6+uXkdPx8/hfRBQ1FVWYltVSeR+EB/B4LBGYk2mUw4evQoAjvcwyB/9/n3xPwP1iAyMtJl\nT92NhSKFFA0PCgpCWFgYTp48KQjoLGsehqc8o+O0KcCPzUyCkkheU9pjWQFo4dUJqqqiRZfODIqM\nuksIdUSueVg4D7eVFV89FIespMh7KCMC+voFOH4OwOojpTj+w0VdhaChJiMt9D4nwRoaGoonn3wS\n+/fvF8YS6hfAwVydMES9uch/IwNNfn99a8S32tpanD+uRRryvijGwcoKhlhp4dUJ+3fvYWkBX1ZV\n46YbI9zd+sqREvr9zacnsYjUpH9kY+XKlcww+teZswJsszGwWjkaWlJSgszMTBZZJiOmoT74tfXx\n8WFOTjKIKcVGfmbBh2twtLYGV777zoHOEXkQD08m5EdVZSVzOnZs2hzpg4bi4YBAF9jp5EWvYOnE\nPwuR64yMjEYrC+54gDvnFKUnye3VV1/VRfo09M4VRRb0aPsHZw6og1/y76ezxyMJiOZLSkqwfv16\n5mg8Vn0Gk/6Rjbu6dWGOL57XN7Sv/PfkcdI+NGQY6vVZUlKCzz//HF9VV7sogvxzMhIh5ZU56NGj\nh8PZNkxwCLlztjXUyFDknQmkgDfkvOONC9kBI8v28NEjBZnJOyw1Z7rWD8k6UoI156/TuSsbVDyi\nxd3e8XO95dECidOnspSY4B7+TMkmNCHJ2hTmdKifht21vLw8jOv/KEtTC/qfLgL67t/Ztm3bJuwB\nOSaztxahR48eggN224FShrQKixiCV97LZggJfv8aS1sy7Yb4+mNLxRFcqatz65zh+bLZbMbG/ALB\nwctHWwG48Mn2Qb0wbdo0lkJExlxDOmZoaChD6choNz0HKX1Gxul7O7bg0rcXBFTf6qOlApJHQLK6\nBJ60oBZPr+6csPI66ekUsnxddWQPNpcfZum0Fx2ISQC4de2ai7OcD5I1Rj/XW5v6zqGs7zkNdn0n\naGRkJD777DNB1/y85jQWLFgg7I2MjOCdxPO3amkH7vi+rAMROuTwuSqU7tyFvr7+yC7UapY0pGc2\nu/qTlvZRUICbHi1QXFws7Mf8rRasKd6GXgMeYrYA8eB9u3bjPv9A5qyQUxCGBgb/Ikfk/2X7r/Hf\nyHYnGP88oZ85cYJBtfWi6IB7D7EcTTJxXl2+yQyGmMuI56diVsJoB4zWjtVHS2GxWNC1a1e3BjX/\nPHlPg4KChMiwzLwAJyxVL4qlJxSenD0Tod7dmNFtNIipBbpjkTzWvLNhX201qxtw5sQJTHAUmQru\n4YecvTvRu2NnIapOsPsFT4xH3uefCtDDTccP6xr/9THt2tpa2Cur8WLcKGy0FOCWRwsEBQU5cur9\nkGXV8ox5Zsb3FRQUJOSEu4u8MQ+qFDUkZZfttSPiLcNt5T7rE6J6tCXTJa+UEsR22rRpugrBb9H4\nCLzsRNGD+cneZz16bGic8hot+HANysrKXJASr776Kl6K187bfX490devp2BkVtZ9w9ICCGKnpyy7\nW19S7Pfv3sNSg3r9kVf0rUiY8DQ7o2azGW/9YzU7ZwAE6GBj1/tIbqGg9N8OmoN31hTsK2FoDVVV\ndWF6hCpZ8MR4HKg8oRn9UmoB3xfBB/nUAVIGKA8WcNY82Fxev4It05fenPi0l6CgIF36IueU3jqX\nlJRAraxh9RDqi7Tz75TnJ/NLPWWcHxPt5YInxqNDm7aOQnmeqMENTJs2zSXFyd06uDsz7sbZGMNQ\nb5yzY0c5acCNQ0J0dJ/FtIh4bLZab8vZ1pimh0IwmUy6a6RnXBz/4Xu30T9etsuGixDFdDgGvm9m\ndKn9wzt3ZYNKD9FS3zp4eXkJtUbkPF+CKveW6jk0hifIjU8nYui7cvfou9+yuctF9vDvLhihMsw4\nLCzMoUMVNqibNfR+vk7M5QvfweDGSS830qMWfLhWoANZr+T5JNVI4o24Fl6dnDVH3MyDR0DcDmKG\njNNRo0a5oPr0UsVkec47fQG4lfuEGGhs+on8bHiSJl8oBfLVf7yHJx95jOmkjZHTt0sDjTmH9L1r\n166x+gk8KpRvTmeQ5iwPHz1Ct293TuLp06fflg7EBy9trVvig13F6BcxpFF6JqF0+/oGYOqbC4U0\nLXJuvzFuIvbtLsGhmrNsrszZ4tBxVx3Zg+TkZF1EwO9RN+S3av81/hvZ7gTjXxb+5JXPKszDgm31\ne9j4JkeTbke41NbWouPVG4KCSTlHDXke6d0DBgyoF15FnuPPP//8thW98+fPM4ioO6eIPBb6Oy/A\nSCCfP3+eKWdyJEQvql5dXc32iPK9+zpqLHTqE+hWkLhj2lOmTMHrT6XCaDDiPv+emPLmAkyfPt0h\nUIp194/vS4saO3PCO/by140orVu3Tne9zWazICBs7du6ZcR8qw9ZUd/+8UrpBdsNl6jYv0Nxk3MT\n+fw6qlWxdd8e/O/ad7HjTEWjzxnf9IyexkY05bx4Ku5F69oYB4/s1JIRNB06dBBybu/VqR1A/RzJ\nLcRbE9KZoaeqKkL9et7WHvG8TM5PvN0WGhqKHj16MFSOnoder85EUlKSbl+8cU1nic8f5OtP2Oxa\n9eKElKfdFnkrKSnBkQ1WbWyOqITeGm3evBntL1/D7LikXxRloJxPXolJS0ur9xnit0eOHKk3Gs7P\nRaZjV7i/Ps9tLNJF7z20D1999RX27y7RTTVq1Po0ggZoXfSiYw052xpy8shNz9iQaz/o8QsyLuS0\nh8bKdtkZQAp3ZGSks16LjnO3scaFu0aRttkrlqHXgIfw+OOPu0CV63MyNLaZzWYU5Wm1OQBnnZjf\nQ3n38vLC4rWr4Ne2Hbw7dmL1Qzp06ACz2cyMYj2j4tfoZvz7+ToxwT38bwuJRMY1TweAaCTLfFI2\n4viaHXrzaCxPbOxY3aH6+O/xukVaWprbYsg8CpJSuRrDj93pv3RmAgICmGOnPt7F99OyS2cByi63\n2+U3fOPrJ8ioUGq1tbXYdkArRC0X8tQbtzvEhrtWVFSE0xUVbiH9jdczfQW5/P033+AeR3HZBR+u\nwea9uxky7z7/nti3azdDXujxVb6+gjsn2H96+6/x38h2Jxj/MpFWUzX7qHhcqatj1dap/ZIoS0Ot\nIQWzsf268/g1BtrY2DXSSy243THJ+dt8JMRgMLh4Th988EHBoFMUINSvJw5WngDqLjVakFD7+9//\nzgo3AsDf8z/ChAkTbm+duZxwvWq89a13RUVFgwJCrzXGEUQtOzsbL7zwAq5duyYom+5yc3/LVl9u\nIgmGrz8vxWvJEzApIhaXL3zncs4a847DOVakP6pBPUnoNDaiyefFC8W9HOvakINHz6klI2hE2tcv\nzAboGXq2X+QZry8/8Ze0hpAmv8QZxTe+IBmru0CFuBxKUW1tLaqrq+Ht7S30/eqrr+IlR8HBvr4B\nuuk/DeXINqbpKTENzfF2ouHujPfG8tyG9qih97CCghGxQmrCL12fhmjAy0uEs9IzBoNB1wFxO84N\n/h3u4Ml6sOPG8NSGZENjUCj/DnQVvfv8zr14Y9xEHNhTKlQB1zOYfo2T4VbrloiekoaH/HvWG938\nrVtJSQlM1V+xnP/2nm1x5fvvWXFlg5+3C8Lido2ehpqzTkz9iL/6WkOBGr7VV7ND772N4Ym/dZPX\n1R0/ou/xNaoay4/r27vb0YmIr7pzBAK/3oHC35ygdzb0ClHfLg3Vx2uys7MxrENXx01hZ/D5919j\n3LhxjX4e4BFza1Fz5gyrTRXicPR5e3sDp2qwdOI04eYNXheuz2kjO8HupOr/jTX+DQ194b/t/77R\nHcF0d7ynpycryCPfdS/fq+3ujlv5DviGPufvx1y5qQDJycm/aC5yP3RHe3FxMbvDm+4yp/m6U0j5\n8fFrFJwYjczMzEYfWL0xyWuekpLC7vysq6vj7nXvhrq6OuH7R69dYvszITJOuLea9qq+9S8pKUGn\nTp3Y3bRlVafxzDPP/CbrTK2h9W7o+fpaY+5HpcrBWzJeRr8mrZCd7eRVv+bdcnO3zvJdsdmFecJ7\niouL2b3XdHc2f874eYSHhwvjp7Z27VqkRml0kBoVh7Vr17LPaI34e93lucp05unpKawrjZH2UB4f\nv8cyn6DW2LXmv7e8MI/dXc/fv9uYJp+rXytUGxp/Y95X31ksLi52nF8TArt2Q8TClxCcGMP4S2P5\nrbsm02FWYR7MZvNt9fFL1lQ+//Xdr+6OjhrLc81mM7s3vLzmrNv5uXsP//eUyDjU1dU1bmEc7Zes\nj/wMoN1FTbURDH7ewjls6Jy5ewed58bQcUM8tSGZ8mvo9Nc2vTX6d92jHRYWhn79+rnI6H93Ky4u\nRmpUPDvLZVWnkeq4DWH8sBjU1dUhMzMTQcOjfzP+p9e0gngqK4z3S1tj6Pq35ueNaQ3prg01s9ns\nuL9e/6w19PkvabdD6w2t+9q1a1ltjJRIUa9oTNPTX2/n/Q21hnhNbm4uuw2jj08PHD58+LaepxYW\nFobMzEw06dkdy625wn4518iE3t7dsaxgg+5+1rcv/y7+9J/S/hv5vwMi/4D7PCbZe9yYKEtDkQp3\nV+/9WkgezUOvn8ZAGxsaP79GtwOLagi21RhvN/9+vtq0nGNNxQxp/BstFiEPic+jzd9ZjPT3lqF9\nUC/dIl8NITzq26+G1vt2vNXuGh/Zl6MukyZNEm5FmPzaK6wKrtOr65oHfTutPjqX7yXXIufOe8vl\n6sJ6edTkwKBrHQv2lQjzlGH7erUfamtrsW2/A14nRU0bilj+2s/5tXa3z/wVgRSpO1X3LXeFXuNg\n5vI7f6sIY2PotL73NcQLG0Iq1Mdv+bzJrKJ8fHvrZ5fKwXwUpu7KZTzcJ/gXpbrcbtT3dnJc66Oj\nxuxlY2Cm9b3HZDL9ZtHMX7qmcuoAPwe5ev/t1MDg3/Vr+G1D0cDGoi/+Xe3XIHBuF+J8uzUwfqvG\nz3G5NRcfHTuAC19+zeqp9ItwFjK+3Xz3xja+Tkyo3y+LrNN686kKDcHVG3u2GptLXt/YGkIj1Ecv\nDaGISkpK8PXnpZgQGYvswnzhtoPGvuPXft7QWWmMXlFfa5Te8Cv4rV5NI358cuFIuVjv7fIq51W6\nTt4pr9GCrQWowQ2XVMY7+Uo/d+2/sP9GtjvF+OdbfYpCY4RsQ4erIVhUYwXw7aQeyHOiceg939D4\nfykMs7Fza0hREz7XuaWAH7+chyQrmd+3aoZp06bprm9Dc/y1ULRfAyNtyDDetOn/a+/uo+Qq6zuA\nf3+7i9Zay0sUjJImUYi8FMnqmjCH0o7R1pAs2YQlKdSygCZbthTU9hCSUj1tTyhBkJwAAB67SURB\nVEvQ9FQtBXWzUbM9VUxYNptskgISpz21E3CBpAHCSyCh8lZwlRb1FMjOr3/MneXu7Nz7PDPPvXtn\n7n4/5+RkZ+bemfv2PPc+b79nN37/vAvGhzXsfnQ/Lr300vHP/dP/1RptNWyISfm85OVDI2bNmjhV\nYKXuzOVTH93Yeysuv/zy8c9L48XnnzZxXl7/8QvrXlfVdRbyuakSJeg8V4rIe9lll02aSs2mm7mL\nOLsr2wSoDDvGYV0oS9dQ1+dvwNkzT8XnK4zp9xeMS1OuVVs4s3nQdBnj6lowtbknTYpN4fsdm/gl\nrkzH0FQBUil6f6U8MagytLSflYaP2DB1p3Yd/uKq1muolnt5LTEwouDfx8zSxViwYMGEeCovj70e\n2p07Cq4Fw/KhYkFTl9aqlCeWno2q/U7XZ7+wSjygVHlymVd5ciY237un4lCtsIq2WhrXqslvXStQ\nTN/vmt+WB54sD47qn5Hsgef/CxdffHFghbttZWp53ll+jDq7PzWhcauWfKVRsPBvqREL/4BdhOSg\nDDuKFsMwtSas0j6ZxpqZtm8qWjlMBQ7/5+XLtrS0YNf27eMzAvgLnrbHPop9dCk0mc6xqWA8e/Zs\nDA8OovX0eejdOYhOb8rCKPevdBPyt7yUV7CEBSqbNSs8qJCpBnvWrFl48Jmnx4Nclbcg2Oyj6RyZ\nCgymYHJhhZ6gGnzbSoUoxH2TNo1/BMLPgalVe8+ePej+8PloP++3KhbsK00vWk2ea3N8ohjj6lIR\naLonBcWmmLD9IfFLXPl/v7wnlu0+mOKUmCpDbc5jWOWBqdDnWoEThVmz3gzqa9vaVu19oNKUjnFX\nTvr500l5PJXyaVXjeC5xLRhWCuBXHjDQtdXbJS9xffYz5fc2lSemirZaG9dsj5FNBYrLOXDNb2fN\nmhx4svw7Xn/9dcz8xRu4+Q9XV5wS2qYy1b+vlSq3w45R0j2h4sQx/9OYaayKaZyW6zgu1zFDpvVN\n2xfFmHHXcWVh35HJZPDMcTo+pt8/Dtb22GezWfTt2l7cxyrGXEfFdI46OzsnxCzo7Oyc8Hkmk8H8\nlR3YeN8PMH9lRyznEAC8jgXj/5d/9zd2DuLabd+u6Trv7u7GvjdexeINf4F9b7w6aWhGPp9H4Ymj\n2HXDX6PwxNFJ14HtWOgg/rFxD20bmhR3IJ/P49hjT+PqZZ01xQfJZrPYNLwdhUIBTSI491dPmLDM\nuW8/EbesvNJpDLEpnbnmJSam8Y8mpuvUP76xNKa/fMxhKb3ve+PVqvNcm+NjGsNqk9biHE9u2oco\nY4CYfr9nWSfGHnu64j6E3VdNaXnz5s0TxrkODAwEbkOlYxAWIwUAurq68I2dg+N5Wi0xeaK455m+\nP+w6qfT71Zz70vffsvJKqAIrb7kZB37xs1j2xUb5tnd2dsb+XFK8ry4bj8NR7T3NdLxtzqFLXmBa\n3/XZz5Tfd3V1odfLK3uHa0tHpm2weXazOc9BeZHrObC5Bnp6etDT0xP43a2traH3HFN+Nzo6GhjX\nrFxYTJqgYxT3PaURsOW/QVv+w9iMZQmr+St1wQwbl+ZSO2tis/6ePXuwZ88ezJgxo+pWGpMoWhtN\nXcNGRkYCWwxtWuSnoitsGNM5qjQncDlT7bZrS1WlSPaTorx60//UeuzC5l831S739fXhqvMXoamp\nCe86/sSKXQxt9698+Ejp8+sWLRmf/rJ35504b+niCZ+burwH1eBHUXNuk85sWuZdxu7ZfH8Y03Va\n3jvk33/24qTIxqV0UM1USSWmdGga42qzD9V0pa2lK65pH+JutQ7riWUrrAdIPp/HKa++ho94089V\n6iVkug7DYqQAxWP0UKmX0W9P7mXk2hW5tIzLGNmw6ySo90U15768S/crLxVjk7hMKeeifNttpjI0\njVe3eS6Js5dOFK3aYaJoFa8m1lHFvMYQ5d3Uu8K1W73p2TGKYxgmbPvz+eIMRl+4+DIsPbsVu7dX\nHvZguudE2fvYeXrpBovmb8Ju/5bSVvh3LbjaPgS4jFkyKXX7CeoubepCWfqOuMYBl4TdROMegxlF\nV1iXhznTOQKKXbsAYOHChTWdB5dzCLgHKrORdOCesEKL//e/sfNOtJQFL7Ip+JaP758QhM1xDLFN\nOjNVkLjmd7bB6MKEXUvllWDr1q2r6ruB6B7WK41xtdkH1660rnEVTNtnK+g4lgrOP/rhf0yaxs+W\nKQhvqRJurDCGP/6nXmzcuHHC+qbr0BQjpfTAXZpKr9oKmiji6OTzedx0003YtWvXpMCWQPh1ElaR\naXvuJ4wV3nknrl7WOaVTylVSvu1hw7RcK9ls9Pb24oV/24drFy2pKVaQKa3bxvcIvWfGGNwzirzG\nptu9S7d61+kQbY5hrcMC/PE0RKRil36be47pPFRThqi1vOFSSVbP2O1/mrLtJhvUrchmfdspYGqd\nJsPUXbp8qpDyLpSubLvBunStch1a4dptKYrueYXHjxTP0eNHKnb/279tB65fuAj7t+2IrStpmLin\nIXLtoujaVTeTyaDljPdNmuam0u+3ruyY1PvCpst70D5EcWyj6HrnOixgKrr/dXd346677qrY+8XE\nNLQDwPhUcblcruLQDdf9c+1Km/QQJaBY6Nm/bSgwrXZ3d3vDkGq7njOZDJrmzcHSL35hwjSAwMTj\n1zu8HRdeeOGk9U3HeO3atV46P4av7xjA2rVrJ3xuSgemYQmm3zd9fym/v3XVVbh11VU4cMfkPD/s\nOslms+gdHoSqQkSwpn1F1WnZnyfdc/SJqtadCqb7RbXn8JVXXqn698OGgdkwpXXTfcHmuaM0Q6Hj\nTIWBTM+mNsNfXJ5vp+KeE3YMXZ79/EMBC4UCNg0P1jSMDLAbnmx7jKOels/1+bgRsOU/ZS3/tjWv\nQTXMNutHUTtbTaCx8ppFU6A1VzY1iaZttAm849Ka5dq7wrUVwVQ7PTFqbv20vERpKgL3mFSa5sYv\nrKXJtvU+aB9cj63NNWxKR649EOq9+59paAcQ3k20tH8uwRldu9LadHPdv20Hrl10IXZvH5q0fzZM\n3aWf/7d96FnWGTqbgktLUFjLe6mXVFgAK5uWsGI6z+G8pYurPgemngWmnlxWvTsMLYKmnliuvS9K\n33PBBRdg9uzZToHv4mC6X1RzDk8+4SQcPnSoqrRSPgyslmFOttPH1tqLyKZHY5wtslEFmHXprRVJ\n0MaQY+jy7FdKp/f/8If40Lwz8dCTj1c9S1EjaOSAgOz2bylthX+bhHfTTTfhL5ZfWvHCtlnfdby5\n6xhQm/HkcUektRk75lqwM3EpfLkWmkxd1l27tDeCKLq+R1E5EfQdcQ/PieIhzLWLZRQPGnFWENkK\nOpY249FNFXFRTJvp0pXWqpurQ0WhTXfpsNgXUf1G2MOiaTaA0nG0nUGm0mcuFTSmYQOmygP/9F6q\nik0VGgVM22iqyCxtp02eUyqkBMVASIJrbAvX2BTl6wcNc3IpuLoeA5vrNM7ZX6Yqlk2cjQJxz+Z1\n991347rxvKzyNVgP91QXSU+N6oKFf0tpK/wD5mB++sQz+MgHzgy9SYclXNfx5lGMAQ0LtGYV3Mgh\noIrtNprOQ5LjiVxv4s8//zze8mqx98XDR5/C2MknTTgXpjnu08DUWpa0KKYSDBL3Q1g12+jSYlsP\nwo6lTYuoqaIt6alP4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BERERGlXz6fx4GBnbh+4SIcGNjJCgAiIgAy3RvH29radGRkJOnN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\nZ39kS1VaAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(17, 4))\n", "plt.plot(flat.time, flat.flux, 'ko', markersize=3)\n", "plt.plot(flat.time, flat.flux, 'o', color='pink', markersize=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The trending algorithm exhibits a large bias at jumps of missing data, but such jumps will merely add a few outliers.\n", "\n", "Now, let's run a period search function similiar to the Box-Least Squares algorithm (http://adsabs.harvard.edu/abs/2002A%26A...391..369K):" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 0%| | 0/750 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(periods, prob)\n", "plt.ylabel(\"log posterior + constant\")\n", "plt.xlabel(\"Period (days)\");" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.83792535000369317" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "best_period # correct period: 0.837495" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The period estimate defaults to units of days.\n", "\n", "Now, let's use the `fold` method passing along the `best_period`:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "fold = flat.fold(period=best_period)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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SpbDZbPW9K0R1ho1/IiIiIiJqtGw2G44mZWD+oGE4mpTBDgDyWWz8ExERERFRo5WVlYXp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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(17, 4))\n", "plt.plot(fold.time, fold.flux, 'ko', markersize=3)\n", "plt.plot(fold.time, fold.flux, 'o', color='pink', markersize=2);" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "And we can clearly see the transit of Kepler-10b." ] } ], "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": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 2 }