{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## The Data\n", "\n", "For simplicity, we download the data here and save locally" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pandas as pd\n", "\n", "def get_LINEAR_lightcurve(lcid):\n", " from astroML.datasets import fetch_LINEAR_sample\n", " LINEAR_sample = fetch_LINEAR_sample()\n", " data = pd.DataFrame(LINEAR_sample[lcid],\n", " columns=['t', 'mag', 'magerr'])\n", " data.to_csv('LINEAR_{0}.csv'.format(lcid), index=False)\n", " \n", "# Uncomment to download the data\n", "# get_LINEAR_lightcurve(lcid=11375941)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
tmagmagerr
052650.43454515.9690.035
152650.44845016.0360.039
252650.46242015.9900.035
352650.47648516.0270.035
452650.49044315.6750.030
\n", "
" ], "text/plain": [ " t mag magerr\n", "0 52650.434545 15.969 0.035\n", "1 52650.448450 16.036 0.039\n", "2 52650.462420 15.990 0.035\n", "3 52650.476485 16.027 0.035\n", "4 52650.490443 15.675 0.030" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = pd.read_csv('LINEAR_11375941.csv')\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Survey Window" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "plt.style.use('seaborn-whitegrid')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/ipykernel/__main__.py:9: RuntimeWarning: divide by zero encountered in true_divide\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAArgAAAELCAYAAAAydvVpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzs3XlcVNX/P/DXALIIoihKrrigSQgukJaiuX/VXFBzN5c0\n9fFJzcoy3MLMVFostdyK1ETLfcc1tTIVgUDEQBEFBAkQFNlh5vz+4HdvM8x6Z+4sDO/n4zGPB9y5\n99w3w4V5z7nvc46EMcZACCGEEEKIlbAxdwCEEEIIIYSIiRJcQgghhBBiVSjBJYQQQgghVoUSXEII\nIYQQYlUowSWEEEIIIVaFElxCCCGEEGJVKMElhBBCCCFWhRJcQgghhBBiVezMHYAxVFZW4tmzZ3Bw\ncICNDeXwhBBCCCGWRiaToaysDPXr14ednbgpqVUmuM+ePcPDhw/NHQYhhBBCCNGidevWaNSokaht\nWmWC6+DgAABo1aoVnJ2dzRwNsWZSqRR3795Fhw4dYGtra+5wiBWja42YCl1rxFSKioqQlpbG521i\nssoElytLcHR0RN26dc0cDbFmUqkUAFC3bl16IyBGRdcaMRW61oipcNeaMcpJLaJAtby8HMOHD8eN\nGzfU7nPnzh2MGzcOnTt3xtixY3H79m0TRkgIIYQQQmoKsye4ZWVleP/993Hv3j21+xQXF2POnDkI\nCAjA4cOH0bVrV8ydOxfFxcUmjJQQQgghhNQEZk1wk5OTMX78eKSlpWnc7/Tp03BwcMBHH32Edu3a\nYdmyZXB2dsaZM2dMFCkhhBBCCKkpzJrgRkZGokePHvj111817hcXFwd/f39IJBIAgEQiQbdu3RAb\nG2uKMAkhhBBCSA1i1kFmkydP1mm/nJwceHl5KWxr1KiRxrIGoGp+Na6AmRBj4K4vus6IsdG1RkyF\nrjViKjKZzGht14hZFEpKSmBvb6+wzd7eHuXl5RqPS05ONmZYhPDi4+PNHQKpJehaI6ZC1xqpyWpE\nguvg4KCUzJaXl8PR0VHjcV5eXnBxcTFmaKSWy8jIQHZ2Nvz8/Gg6HWJUUqkU8fHx8PX1pWuNGBVd\na8RUCgsLjdYZWSMSXA8PD+Tm5ipsy83NRZMmTTQeZ2NjQ3+cxGh++eUXTJo0CWPHjsWvv/5K1xox\nCVtbW7rWiEnQtUaMzRjz3/JtG61lEXXu3Bl///03GGMAAMYYYmJi0LlzZzNHRsRQUFCAvLw8c4ch\nWHBwMADg0KFDZo6EEEIIIfIsNsHNyclBaWkpAGDIkCEoKCjAmjVrkJycjDVr1qCkpARDhw41c5TE\nUIwx1K9fH40aNaJ5jQkhhBAiCotNcAMDA3H69GkAgIuLC7Zt24bo6GiMGTMGcXFx2L59Oy3Da2VS\nU1PNHYIgJSUl5g6BEEIIISpYTA1uUlKSxu/9/Pxw5MgRU4ZEiEb//vuvuUMghBBCiAoW24NLCCGE\nEEKIPijBJYQQQgghVoUSXEIIIYQQYlUowSWEEEIIIVaFElxCCCGEEGJVKMElhBBCCCFWhRJcQggh\nhBBiVSjBJYQQQgghVoUSXKKkoqICGzduREJCgrlDIYQQQggRzGJWMiOWY+PGjVi8eDEAgDFm5mgI\nIYQQQoShHlyiJDIy0twhEEIIIYTojRJcQgghhBBiVSjBJYQQQgghVoUSXGIxqN6XEEIIIWKgBJcQ\nQgghhFgVSnAJIYQQQohVoQSXEEIIIYRYFUpwCSGEEEKIVaEElxBCCCGEWBVKcAkhhBBCiFWhBJcQ\nQgghhFgVSnAJIYQQQohVoQSXEEIIIYRYFUpwCSGEEEKIVaEElxBCCCGEWBWzJrhlZWVYunQpAgIC\nEBgYiLCwMLX7nj9/HkOHDkXXrl0xadIkJCQkmDBSQgghhBBSU5g1wQ0NDcXt27exa9cufPLJJ9i8\neTPOnDmjtN+9e/fwwQcfYO7cuTh27Bi8vb0xd+5clJSUmCFqQgghhBBiycyW4BYXF+PAgQNYtmwZ\nfHx8MGjQIMyePRvh4eFK+169ehVeXl4ICgpCq1at8P777yMnJwfJyclmiJyISSqVmjsEQgghhFgZ\nsyW4iYmJqKysRNeuXflt/v7+iIuLg0wmU9i3QYMGSE5ORnR0NGQyGQ4fPgwXFxe0atXK1GETkd26\ndYv/mjFmxkgIIYQQ43rw4AEqKirMHUatYLYENycnB25ubrC3t+e3ubu7o6ysDE+fPlXYd9iwYejb\nty8mT56MTp06ITQ0FBs3bkT9+vVNHTYhhBBCiGAXLlxA27Zt8fHHH5s7lFrBzlwnLikpUUhuAfDf\nl5eXK2zPz89HTk4OVq5cic6dO2Pfvn0IDg7GkSNH0KhRI7XnkMlkdAtcD/I9qcZ+/eTbl0qlNfb3\nVVPjJjUHd43RtUaMja4147hy5QoAYP/+/Vi/fj0kEomZIzK/6nfsxWS2BNfBwUEpkeW+d3R0VNj+\n5ZdfokOHDpgyZQoAYPXq1Rg6dCgOHTqEOXPmqD0H1ejqR74HPTY21qjnunv3Lv91YmJijb11Ex8f\nb+4QSC1B1xoxFbrWxMW9nz569AinTp1CixYtzByRdTNbguvh4YH8/HxUVlbCzq4qjJycHDg6OsLV\n1VVh34SEBLz55pv89zY2NujYsSMyMzM1nsPLywsuLi7iB2/lGjRowH/dpUsXo55L/tNbx44d4ePj\nY9TzGYuvry9sbW3NHQaxYlKpFPHx8XStEaOja804nj9/zn+dnZ2N4cOHmzEay1BYWGi0zkizJbje\n3t6ws7NDbGwsAgICAADR0dHw9fWFjY1iaXCTJk1w//59hW0PHjyAr6+vxnPY2NjQH6ce5G+bGPv1\nk/9d29ra1tjfV02OndQsdK0RU6FrTVzp6en811euXMHbb79txmgsQ/V8T9S2jdayFk5OTggKCkJI\nSAhu3bqFCxcuICwsDNOmTQNQ1ZtbWloKABg/fjz279+Po0ePIjU1FV9++SUyMzMxevRoc4VPCCGE\nEKITmUymkOBevnyZZg4yMrP14AJAcHAwQkJCMH36dLi4uGDBggUYPHgwACAwMBBr167FmDFjMGzY\nMBQVFWHbtm3IysqCt7c3du3apXGAGSGEEEKIJcjKykJFRQXfK56RkYH79+/Dy8vL3KFZLbMmuE5O\nTli/fj3Wr1+v9FxSUpLC9+PGjcO4ceNMFRohhBBCiChSU1MBAC1atECrVq3wxx9/4NKlS5TgGpFZ\nl+olhBBCCLF2XILbqlUr9OvXD0BVmQIxHkpwCSGEEEKMKC0tDQDg6emJvn37AgAuXbpEdbhGRAku\nIYQQQogRcT24np6eePXVV+Hg4IDHjx/TfP1GRAmulUhLS8PmzZtRVFRk7lAIIYQQIofrwW3VqhUc\nHR3Rvn17AP8lvkR8Zh1kRsTTpUsX5OfnIykpCZs2bTKorRs3bogUFSGEEELke3ABwN3dHQCQm5tr\ntpisHfXgWon8/HwAwIULFwxuiz5REkIIIeKRH2QGAI0bNwZACa4xCU5wi4uLjREHIYQQQojVefbs\nGQoKCgD8l+ByPbg5OTlmi8vaCU5whw8fjjt37hgjFlLL0WhSQggh1obrvXV3d4ezszP/NUA9uMYk\nOMG1sbFBRUWFMWIhhBBCCLEq8gPMOFSiYHyCB5n17dsXM2fORL9+/dC8eXPY29srPD9//nzRgiO1\ni0QiMXcIhBBCiKiqDzADqETBFAQnuElJSfDx8UF2djays7MVnqMEhRBCCCHkP5oSXOrBNR7BCe7P\nP/9sjDgIIYQQQqyOqhIFSnCNT69pwtLT07F+/Xr873//Q3Z2Ng4ePIjo6GixYyOEEEIIqdFU9eDK\n1+DSAGvjEJzg3rx5EyNHjkRGRgb++OMPlJWVISUlBdOnT8e5c+eMESMhhBBCSI2UlZUFAGjWrBm/\nrVGjRgCAiooKfgoxIi7BCe4XX3yBDz74ABs3boSdXVWFw0cffYTFixdj48aNogdICCGEEFJTFRYW\nAgBcXV35bU5OTvyUYVSmYByCE9y7d+/itddeU9o+YMAAvs6EEEIIIYT8l+C6uLgobKc6XOMSnOA2\nb94c8fHxStsvX76M5s2bixIUIYQQQkhNV1lZidLSUgDKCS5Xh0tThRmH4FkUFi1ahI8//hjx8fGQ\nSqU4evQoHj16hFOnTiE0NNQYMRJCCCGE1Dhc7y1APbimJrgHd9CgQQgPD8eTJ0/Qvn17XLx4EeXl\n5QgPD8ewYcOMESMR4Pnz5+YOgRBCCCH4L8GtU6eO0sJYlOAal+Ae3IMHD6JPnz7UW2uhMjIyzB0C\nIYQQQqC+/hag1cyMTXAP7sGDB9G/f3+MGDECoaGhuH79OioqKowRG6kFaPU7Qggh1opLcOvVq6f0\nnPxcuER8gntwf/nlFxQWFuL69eu4fv06Vq9ejcePH6N79+7o06cPJk+ebIw4CSGEEEJqFF16cCnB\nNQ7BCS5Q9YsaOHAgAgIC0LNnT5w6dQqnT5/GlStXKMEleqPVXAghhFgTKlEwH8EJ7pEjRxATE4OY\nmBikpqbCy8sL/v7++OqrrxAQEGCMGAkhhBBCahxu4Df14Jqe4AQ3ODgYNjY26NOnD1asWIEePXpQ\nHSUhhBBCSDWaenCpBte4BA8yu3LlCkJDQ+Hh4YHVq1fj5ZdfxqxZs/D999/jxo0bgtoqKyvD0qVL\nERAQgMDAQISFhandNykpCZMmTYKfnx9GjBiB69evCw2dEEIIIcRkdClRyM/PR2VlpUnjqg0E9+B6\neHhg+PDhGD58OAAgLS0NP/zwA7Zs2YLKykr8888/OrcVGhqK27dvY9euXcjMzMSSJUvQrFkzDBky\nRGG/58+f46233kL//v2xbt06HDt2DPPnz8fZs2fRqFEjoT8CIYQQQojRaZpFwc3NDRKJBIwxPHny\nBB4eHqYOz6oJTnALCwsRHR2NGzduIDIyEomJifDy8sK0adMQGBioczvFxcU4cOAAduzYAR8fH/j4\n+ODevXsIDw9XSnCPHDmCunXrIiQkBLa2tli4cCGuXLmC27dv47XXXhP6IxBCCCGEGJ2mHlw7Ozu4\nubkhLy8Pubm5lOCKTHCC26NHD7i5ueHVV1/Fm2++iV69evHd7EIkJiaisrISXbt25bf5+/tj69at\nkMlksLH5r3oiMjISAwYMgK2tLb/t0KFDgs9p6dLT03HhwgVMmTJFacUTQgghhNQsmhJcoKoOl0tw\nibj0WsnM29sbQNUvTiqV6nXinJwcuLm5KSRy7u7uKCsrw9OnT9GwYUN+e3p6Ovz8/LBixQr89ttv\naN68OZYsWQJ/f3+9zm2pOnbsiOLiYqSnp2PlypXmDocQQgghBtA0iwJQlfckJSXRVGFGIDjB9fb2\nxq5du/DDDz/wnzgaNmyISZMmYf78+Tq3U1JSotRLyX1fXl6usL24uBjbt2/HtGnTsGPHDpw6dQqz\nZs1CREQEmjZtqvYcMplM7wTcHIqLiwEA586dw7Jly/RuR8yf2divn3z7Uqm0Rv2+5NXUuEnNwV1j\ndK0RY6NrTTxcglu3bl2Vryc3jig7O7tWvt4ymcxobQtOcL/77jvs2bMH7777Lrp27QqZTIaYmBhs\n3rwZ9vb2mDNnjk7tODg4KCWy3PeOjo4K221tbeHt7Y2FCxcCAF566SVcvXoVx44dw7x589SeIzk5\nWciPZjGKiooQGxur9/GGHGvMtlS5e/cu/zVXtlITxcfHmzsEUkvQtUZMha41wz1+/BgA8OTJE5Xv\np1w5Znx8vNHfb2sbwQnu/v37sWbNGvTv35/f5u3tDQ8PD6xZs0bnBNfDw4OfGsPOriqMnJwcODo6\nwtXVVWHfxo0bo23btgrbWrduzV846nh5eam9LWDJnJ2d0aVLF72PN+RYY7alivwn1o4dO6JTp05G\nPZ+x+Pr6KtSIEyI2qVSK+Ph4utaI0dG1Jh5unQAfHx+V76cdOnQAANSpU8fo77eWqLCw0GidkXrN\notC6dWul7W3atEFeXp7O7Xh7e8POzg6xsbH8CmjR0dHw9fVVGGAGVCVZN2/eVNiWkpLCT1Wmjo2N\nTY3845RIJAbFLebPbOzXT759W1vbGvn7Amp27KRmoWuNmApda4YrKioCANSvX1/la9mkSRMAVT28\ntfG1rp7vidq20AO6du2KsLAwhboJqVSKsLAw+Pn56dyOk5MTgoKCEBISglu3buHChQsICwvDtGnT\nAFT15paWlgIAJk6ciKSkJGzatAmpqan49ttvkZ6ejlGjRgkNnxBCCCHEJLTNokDL9RqPXkv1Tpky\nBX/99Rd8fHwAAAkJCSgvL8cPP/wguK2QkBBMnz4dLi4uWLBgAQYPHgwACAwMxNq1azFmzBg0b94c\nP/zwA9asWYPt27ejXbt22L59O80ZRwghhBCLpW0WBW65XppFQXyCE9x27dohIiICJ06cQEpKChwc\nHNCrVy+MGDECzs7OgtpycnLC+vXrsX79eqXnkpKSFL739/fH4cOHhYZLCCGEEGIW2npwuSlRhZR4\nEt0ITnCBquXlevbsCQ8PD9jY2ODFF18UnNwSAgCMMZVfE0IIITVZZWUlX2qpLsHlBtVzPb1EPIIT\n3NzcXCxYsACxsbFwdXWFTCZDYWEhevXqhQ0bNqhcb5kQQgghpDbhBpgB2hPcgoICMMb4WReI4QQP\nMlu2bBnq1KmD8+fP48aNG7h58ybOnDmD0tJShISEGCFEQgghhJCahStPsLOzU1rYisMluPK9vUQc\nghPcyMhIrFixAi1atOC3eXp6Yvny5bh06ZKowZHa5datW+YOgRBCCBEFl+DWq1dPbc+sfM8ulSmI\nS3CC27JlS6UBYACQmZmJZs2aiRIUqZ0SEhLMHQIhhBAiCm0zKABV88ByzxcUFJgkrtpCcA3u2LFj\nsWrVKiQkJKBr166ws7PDP//8g927d2PMmDE4evQov29QUJCowRJCCCGE1ATaZlDguLq6orCwkBJc\nkQlOcHft2oV69erh7NmzOHv2LL/d2dlZYZtEIqEElxBCCCG1kq4JLjc4nxJccQlOcH/77TdjxEEI\nTRNGCCHEagjpwQWoBldsxlsEmBBCCCGklhKa4FIPrrgowSWEEEIIERkluOZFCS4hhBBCiMi4kgNt\nC2Bxz1OJgrgEJ7jp6enGiIPUUrRqCyGEEGtEPbjmJXiQ2dChQ9G8eXP07t0bvXv3Ro8ePeDo6GiM\n2EgtQ4PMCCGEWAtKcM1LcIIbGRmJyMhIXLt2DV9++SXS0tLg7+/PJ7xeXl7GiJMQQgghpMagBNe8\nBJco1K1bF3379kVwcDBOnDiBI0eOwM3NDaGhoRgxYoQxYiS1hDWUK+Tk5OD777/H06dPzR0KIYQQ\nMxI6Dy7V4IpLcA9uRkYGYmJiEBMTg+joaKSkpKBNmzaYMGECAgICjBEjITXGsGHDEBUVhbNnz+LY\nsWPmDocQQoiZ6LJUL0A9uMYiOMEdMGAAbGxs0KdPH7z77rsICAhA/fr1jREbqWWsoQY3KioKAHD8\n+HEzR0IIIcScuB5cbbMoUIJrHIIT3NDQUERFReHmzZsIDg5Gly5dEBAQgG7dusHPzw/29vbGiJPU\nAtaQ4BJCCCEAlSiYm+AEd+TIkRg5ciQA4MmTJ4iKisKVK1ewefNmSCQSxMXFiR4kIYQQQkhNQoPM\nzEtwggtU/dKio6Nx48YN3LhxA0lJSfD29kZgYKDY8RFCCCGE1DiU4JqX4AR37NixSEpKgru7O3r1\n6oVZs2ahZ8+eaNCggTHiI8RiHD58GEePHsXWrVtRt25dc4dDCCHEgglNcJ8/fw6ZTAYbG1pkVgyC\nE9wRI0YgNDQU7dq1M0Y8hFissWPHAgBefPFFLFu2zMzRECKukpIS2NjYwMHBwdyhEFLjVVZWoqSk\nBIDuNbgAUFRUpHVQGtGN4AR3xowZuHPnDj744AOkpKRAKpWiTZs2mDJlCrp3726MGAmxKFlZWeYO\ngRBRlZWVwcXFBQ0aNEBubq5VzElNiDkVFRXxX2tLcJ2cnGBrawupVIqCggJKcEUiuB/8/PnzGD9+\nPBhjGDNmDMaMGQOJRIK33noLFy5cMEaMhBBCjCg5ORkymQx5eXk0mwkhIuDKE+zs7LTeFZFIJFSH\nawSCe3C//fZbLF68GDNmzFDYvnPnTmzatAkDBw4UKzZCCCEmIJPJ+K8pwSXEcPL1t7rcEXF1dUV+\nfj5NFSYiwT246enp6Nevn9L2fv364cGDB6IERYglo9u3xNrIJ7jyXxNC9KPrADMOV5ZAPbjiEZzg\ntmvXDr///rvS9itXrqB58+aC2iorK8PSpUsREBCAwMBAhIWFaT3m0aNH6Nq1K27cuCHoXIQQQlST\n77WlBJcQw+m6TC+HShTEJ7hEYcGCBViwYAHi4uLQuXNnAEBsbCzOnj2L0NBQQW2Fhobi9u3b2LVr\nFzIzM7FkyRI0a9YMQ4YMUXtMSEgIiouLhYZNCCFEDalUyn9NCS4hhuMSXF0HjFGCKz7BCW6/fv2w\nY8cO7N27F/v27YODgwPatGmDvXv3ws/PT+d2iouLceDAAezYsQM+Pj7w8fHBvXv3EB4erjbBPX78\nuMLIRFJzZWRkIDAwEAEBAfy2mlL7RyUKxNpQiQIh4uISVV0TXFquV3x6rWT26quv4tVXXzXoxImJ\niaisrETXrl35bf7+/ti6davKiY7z8/PxxRdfICwsDMOHDzfo3MT8QkJC8PDhQzx8+NDcoRBS69Eg\nM0LExSWqXM+sNtSDKz6dEtzg4GCdG1y7dq1O++Xk5MDNzQ329vb8Nnd3d5SVleHp06do2LChwv7r\n1q3D6NGj0b59e51jkclkCrfeagrGmEFxi/kzG+v1q6ioUNpWU35fqn4/quKuCT8LqTm468kY15V8\ngltRUUHXbi1nzGuttnj27BmAqhpcXV5Hrlb36dOntep1N+YdI8E9uCUlJThz5gx8fX3h6+uLOnXq\n4M6dO4iJiUFQUJCgduSTWwD89+Xl5Qrb//rrL0RHR+PkyZOCYk1OTha0v6UoKipCbGys3scbcqwx\n25KXl5entC07O9to5xNTTk6OUpzx8fFK+9WEn4XUPKquNUPdvXuX/zouLo4mmicAjHOt1RZc/lFW\nVqbTewE3tujhw4f03iESnRJc+V7ZRYsWYf78+Zg/f77CPj/88AOuXbum84kdHByUElnue0dHR35b\naWkpVq5ciU8++URhuy68vLx0HsFoSZydndGlSxe9jzfkWGO2Ja96Dz0ANG7c2GjnE5OqOH19fWFr\na6uwrSb8LKTmkEqliI+PV3mtGUr+f7GPj4/Kv09SexjzWqst6tatCwBo3bq1Tu8F3N1pe3v7WvXe\nUVhYaLTOSME9uJcvX8aiRYuUtg8YMACbNm3SuR0PDw/k5+ejsrISdnZVYeTk5MDR0VGhZuXWrVtI\nT0/HwoULFY5/++23ERQUhE8//VTtOWxsbGrkH6dEIjEobjF/ZmO9fqoGatWU35eq34+tra3KbYSI\nTdW1JkabnJryd0iMzxjXWm3BDYivX7++Tq9hgwYNAFTV7tam17z6eCsxCU5w27Rpg0OHDuGDDz7g\ntzHGEB4ejhdffFHndry9vWFnZ4fY2Fh+JH10dDR8fX0VfmA/Pz+cO3dO4djBgwfjs88+Q69evYSG\nT4jBaBYFYs1oFgVCDCd0FgUaZCY+wQnusmXLMG/ePJw7d45PaBMSElBaWooffvhB53acnJwQFBSE\nkJAQfP7558jOzkZYWBhfDpGTk4N69erB0dERnp6eSsd7eHigUaNGQsMnFoJGahNiOeT/Hh88eICh\nQ4di0aJFmDp1qhmjIqTm0ncWBZomTDyC+4YDAgJw7tw5TJs2De7u7nB3d8fs2bMREREBb29vQW0F\nBwfDx8cH06dPx6pVq7BgwQIMHjwYABAYGIjTp08LDY/UYLm5uTh58mStGkFKiCWQ77WdM2cOoqOj\n8eabb5oxIkJqNqELPdBSveLTax7chg0bYsqUKQaf3MnJCevXr8f69euVnktKSlJ7nKbnSM21c+dO\n7Ny5Exs2bFBZ520pqESBWBv5Htz09HQzRkKIdaCVzDRjjCE7O5sfjGcMgntwMzIy8OGHH2LIkCEY\nOHAgBgwYoPAg/7l8+TKOHz9u7jBqnCNHjpg7BI2ovIJYG/keXFVT+BFChNE3wa0tJQpbtmzBCy+8\ngK+//tpo5xDcg/vRRx8hPz8fU6ZMqZFTcJlSv379AACPHj1C8+bNzRwNIYSoRgPLCBGXviUKJSUl\nqKioQJ06dYwWmyXYvn07AGDfvn1GW51WcIJ769YtHDlyBF5eXsaIxyplZ2dTgksIsVh0V4IQcemb\n4HLHWvNc1Pfu3UNcXJzRy/0EJ7itW7emW1gC0ZuHspr8mlANLrE21INLiHjKy8tRVlYGQPdZFOzt\n7eHo6IjS0lIUFBRYdYJ74MABAMCgQYMwcOBAo51HcIL79ttvY/ny5Zg5cyY8PT2VutFffvll0YIj\n5tevXz/8+uuvaNKkiblDIYQYSU3+wEmIpZGvoxWy7LWrqytKS0utvg6XS3DHjRuH8ePH4969e0Y5\nj141uACwatUqpeckEgn++ecfw6OyMkLfPCzpzeby5csIDg7Gjz/+aLJzWtLPT0htQD24hIiHS1Ad\nHR35lVp1Ua9ePWRnZ1v1TArJycmIjY2Fra0tgoKCjHpHVHCCm5iYaIw4iJyrV6+aOwQFT58+NXcI\nFoVKFIi1oQSXEPEIrb/l1Iapwg4ePAgA6N+/P9zd3Y3aW61TgpuZmYmmTZtCIpEgMzNT477NmjUT\nJTBrUpN6JE3VA68pSbTmP25CLFFN+h9FiKUzNMG15hIF+fIEY9Mpwe3fvz+uXr2KRo0aoX///pBI\nJAr/ELnvqUSh5nvppZfMHQLi4uLMHQIhtQr14BIiHurBVS0lJQUxMTGwtbXF6NGjjX4+nRLcixcv\n8iP6Ll68aNSASO1QWFho7hAIIf8f9eASIh4uQdV1BgWOtS/Xy/Xe9u3bF+7u7kY/n04Jrvwcrh99\n9BH69OmD3r17W0RvX01Abx7KDh06ZO4Q9Ea9XcTa0DVNiHioB1c1U5YnAHoMMhs1ahSuXr2Kn376\nCba2tuhalzuKAAAgAElEQVTVqxd69+6NwMBAuLm5GSNGQizKzZs3zR0CIaKiD+GEiIdqcJWlpKQg\nOjoaNjY2JilPAPRIcMePH4/x48eDMYY7d+7g2rVrOHz4MIKDg+Ht7c1n6OQ/Nf3No6bHLzapVGru\nEAgRFfXgEiIefRPc+vXrAwDy8/NFj8ncuNkT+vbta7J59QUnuEDVG3xCQgJiYmIQFxeHu3fvwt7e\nXnC9CSGEEPOjBJcQ8eib4L7wwgsAgKysLNFjMjdTlycAeiS4b775Jm7fvg1XV1d07twZ/v7+mDt3\nLl566SXY2NgYI8Yaj3pACSGWbOfOneYOgRCroW+Cy02zqm061prm4cOHiIqKMml5AgAIzkjt7Owg\nkUjg5uaGJk2awMPDAx4eHpTcEkJIDXX8+HFzh0CI1dB3FgUuwc3IyBA9JnPiyhP69OkDDw8Pk51X\ncA/uTz/9hMrKSiQkJODmzZs4duwYVq1ahXr16iEgIABr1641Rpw1GvXgEkIIIbWDoT24ubm5KCsr\ng4ODg+ixmYM5yhMAPWtw7ezs0LlzZzg7O8PJyQn29va4dOkSrl+/LnZ8RAc0qt+0aKleQggh6uib\n4DZq1Aj29vYoLy9HVlYWPD09jRGeSaWmpiIyMhISiQRjxowx6bkFJ7jh4eGIjIxEVFQUiouL8fLL\nL6NXr15499130a5dO2PEaHHKy8thb2+v8/7G7sHt3r27UdsnhBBCiG70TXAlEgmaNWuGhw8fIjMz\nU2uCW1lZidWrV6NTp04m7x3VlXx5AjeIzlQEJ7j79+9HYGAgJk6cCH9/f0GJnjWIi4tDly5dsGjR\nImzYsMHc4ZgElVgQYr1oBgVCxKVvggtAIcHVJiwsDJ9++ikkEgmcnZ0xbNgwweczNnOVJwB6JLjH\njh0zRhw1xsqVKwEA33zzjc4JrqkTRMYY3UYnhOiE5nUmRFyGJriA9pkUSktLsXr1agBV7/mTJk3C\n9evX4e3tLficxvLs2TNERkYCAIKCgkx+fpr6wApxSTghhGhDCS4h4tJ3FgVA95kUtm3bhkePHqFF\nixbo3bs3CgoKMHLkSOTl5QkP2EgiIyPBGEObNm3QvHlzk5+fElwTMHUP7meffWbS89U21DtOrAkl\nuISIRyaTobCwEIB+PbhcIqipB7eoqAiff/45AGDFihU4dOgQPD09kZycjAkTJqCyslKPyMXHTTzw\nyiuvmOX8lOASQkgtRgkuIeIpKirivzZWicLmzZuRnZ2Ntm3bYubMmWjcuDGOHz8OZ2dnXLhwASdO\nnBAeuBFwCe6rr75qlvNTgmsCNX2QlqX0WB46dAg3btwwdxjIzMxEWFiYucMgRBSU4BIiHq7+1sbG\nBk5OToKP15bgPnv2DOvXrwcAhISEoE6dOgAAPz8/TJ8+HQDwxx9/CD6v2BhjtbsHt6ysDEuXLkVA\nQAACAwM1Jg2XL1/GqFGj0LVrV4wYMQIXL140YaT/qenJqj7++ecfc4eA27dv44033hDtD+Wff/7B\nvHnzkJaWJvjY1NRUzJo1S2EbjUQnNRUluISIR36AmT6dQ9oS3C1btiA/Px/e3t6YPHmywnNcT6kl\nrEmQnJyMvLw8ODg4oHPnzmaJwawJbmhoKG7fvo1du3bhk08+webNm3HmzBml/RITEzF//nyMHTsW\nR48excSJE/Huu+8iMTHRDFHXfGVlZTh+/DieP3+OtLQ0rUm7JbzO9+/fF7W9l19+Gdu2bRNt4mlK\nEkhNRdcuIeIxZAYF4L8E99mzZwrlDkBVB9uPP/4IAPjwww9ha2ur8DzXARQdHY2ysjK9zi+Wa9eu\nAYBZp5M1W4JbXFyMAwcOYNmyZfDx8cGgQYMwe/ZshIeHK+178uRJvPLKK5g2bRo8PT0xZcoU9OjR\nAxEREWaIXDhL6/V9//33MWrUKLi6usLT0xNr1qwxd0gmx/3j+Pvvv80cibLS0lKkpqaaOwxSS9Dd\nB0LEY2iCW69ePTg7OwNQ7sW9evUqkpOT4ezsrHJe2Xbt2sHd3R3l5eWIjY3V6/xiMXf9LWDGBDcx\nMRGVlZXo2rUrv83f3x9xcXFK/3BHjx6NxYsXK7XBXUhEmB9++EHh+xUrVpgpEqKKj48PWrdujZiY\nGHOHQmoB6sElRDyGTBEGVI15UTeTwk8//QQAGD9+PFxcXFQey/Xicj2o5mLu+ltAj4UexJKTkwM3\nNzeFrmt3d3eUlZXh6dOnaNiwIb+9+hLA9+7dw7Vr1zBx4kSN55DJZKL/85bvjdW17crKSsFxGBq3\n2OcT0t6ePXvw999/48svv9R7gFr188l/6BHzdyqRSERpTyqVKrWjb7spKSkAqlaAMVftErE83PUk\n9v+08vJyrecktYuxrrXa4NmzZwAAFxcXvV+/pk2b4u7du3j06BHfRmFhIfbv3w8AmDZtmtq2e/To\ngZMnT+LatWtYsGCBXuc3VFFREW7dugWgqhxQ0+tgzDtIZktwS0pKlOoyuO81/cPNy8vDggUL0K1b\nNwwYMEDjOZKTkw0PtBru4gWg8y2A5ORkwZ/mDL29oOl4VSUT2s4nJJ4ZM2YAANq0aYPAwECdj9N0\nPi7pExqLPufSx+3bt2Fnp/jnZGi7//77r9lvM5lSdHQ03Nzc0LZtW3OHYtHi4+NFbe/Ro0dqn6tN\n1x9RJva1Vhtwg7JlMpnefz/c7AtRUVHo2LEjAODEiRMoLCxEy5Yt4eLiorZtd3d3AMDvv/9utr/f\n6OhoSKVSNGnSBLm5ucjNzTVLHGZLcB0cHJQSWe57R0dHlcfk5uZi5syZYIxh48aNsLHRXGHh5eWl\nshvfEPKJapcuXXQ6pl27djrvK7Rtocc/e/ZMZa+qtvNxz2/ZsgUXLlzA3r174eDgoPEYW1tbBAQE\noGXLlnjw4IGOkauOR362A0NfG23n0kenTp2UrltD2/Xw8BD9Z7VUKSkpmDt3LgBYzCTllkYqlSI+\nPh6+vr5Kg0sMwdX7qVJbrj+iyFjXWm1w/vx5AECLFi30/vt56aWX+AH3XBvvvfceAGDOnDkKpZ3V\ntWvXDu+88w6ysrLQpEkTftCaKZ07dw4AEBgYqPU1KCwsNEpnJGDGBNfDwwP5+fmorKzke75ycnLg\n6Oiosrfz33//xbRp0wAAu3fvVihhUMfGxkb0P0755FDXtm1tbQXHYWjc3PHFxcU4c+YMBg0ahD//\n/BPDhg3T63ylpaVwdnbmb3ns2bMHc+bM0XjMBx98AABIT0+Hra0tysvLYWNjo9TTqUs88h9mxP6d\nitGeqt+xoe0a4/q1VPL/4GrLz6wvff6fGHIuUnuZ8lqzFtxd3gYNGuj92rVo0QIAkJWVBVtbW9y/\nfx9//PEHbGxsMGPGDI3tNmjQAJ06dcKtW7dw8+ZN0WYKEiIyMhIA0LNnT62vgbaOSkOYbZCZt7c3\n7OzsFLrQo6Oj4evrq/QDFxcXY/bs2bCxscGePXvg4eFh6nAFk5+iw5BZFB4+fIizZ88qbKuoqMDx\n48eRn5+v8diSkhKMHj0aY8eOxeTJk/HRRx/pHcfYsWMVvpcf4Pf48WOVdTTyPfQVFRVo2rQpvLy8\nzDKrhLpeQTEXsSgpKRGtLTEwxjB16lSEhISYOxRiwajOkhDxcAPDDOk55QaZZWRkAAC/RsCgQYP4\n5FcTbmCXOebDtYQFHjhmS3CdnJwQFBSEkJAQ3Lp1CxcuXEBYWBjfS5uTk4PS0lIAwLZt25CWlsav\n3pGTk4OcnByTzaJw9uxZfvSirgYOHCho/++//17l9jZt2mDIkCG4cOECgKq6nqVLl2LUqFF47bXX\nNLZZt25d/lbByZMnBcVTXfUkW357s2bNMHjwYJw6dUpt/fTDhw+Rl5eH1NRUg29Bc9eFvH///Vdt\n4rxnzx44ODjg+PHjgs6Tm5ursT5RHmMMixYtEtS+sV27dg3h4eFYtWqVuUOxSIwxzJo1q9bPIkIJ\nLiHi4RJcLknVh/xiD0VFRdi6dSsA4O2339bpeG5qLnPMpJCWloasrCzY2dmhW7duJj+/PLMu9BAc\nHAwfHx9Mnz4dq1atwoIFCzB48GAAVbUbp0+fBlCVRJWWlmLcuHEIDAzkH6aav3XIkCF46623kJCQ\noNP+mZmZ+PPPP/nvdemxfOeddzQ+f/XqVQBA//798eWXXwLQPABA1TnF7K28dOkSAPCxXLx4EcOH\nD8eyZctEO4c63Dk527ZtwwsvvAAbGxuVyfObb74JmUyGUaNGCTpP48aN0bJlSzx9+lSn/XVdvjct\nLQ3du3fH3r17Ne5naE+3OXqUGWOIjY1V+SFEE3MsB33r1i2EhYXhs88+M/m5LYmmBNfS5vDWhDGG\nBw8e1KiYifXhel0N6cGVT3B//PFH5OXloV27dggKCtLpeK7nNCoqChUVFXrHoQ8uqe7SpYteSxWL\nyawJrpOTE9avX4+///4bf/zxBz/6HgCSkpL42pEzZ84gKSlJ6bFu3TrRYikpKUFgYCBWr16tdh91\nS+dxEhMTkZmZqXXxgNWrV/Pz1enaQ/js2TO88847uHLlik77qyLmiNhTp06p3K5LkqfLH+ndu3fV\nPnfv3j2F7+fPn681Ll09f/4c6enpGs+njrokrXqCPH/+fNy8eRNTpkzR2N7atWvxxhtv6HRuS/HT\nTz+ha9euGDp0qEHtZGRkYObMmUZdiMPSSkqq27RpE0aNGmX0FYl0SXArKirQv39/g8qcjG3dunVo\n27YtleQQsxKjRKFp06YAqv5HrV27FkDVmBZda3o7dOgANzc3lJaWIi4uTu849GEJCzzwmBUqKipi\nUVFRrKCgQOdjtm7dygAwVS8Jt/306dP819X3e/ToEb/95MmTCvv99ttv/H4ymUzhuaFDhyqcg3uk\npqaq3F79oW6f6ufR9nj48CGTSqWCznXz5k3m6empsK1hw4Yqj+3WrZugeN555x2F1/fIkSP8c2++\n+abCc3Z2dvxzu3fvVvv7k/+dcd/XqVNHYV8HBwf+9ef2uXHjhtbfRVFREbO3t1fYFhYWxtq2bcsA\nsFWrVvHn6NOnj8priLteVb3u+rh48aLWNoqLi9nUqVPZ/v37BbdfUFDAgoODWUxMDL/N399fr7gj\nIiIUjnvttdcUXtvqZDIZi42NZWVlZYLj5ly7ds3g19iYuNh27NjBGGOssrKSRUVFscrKSlHPc/36\ndbXXdUVFBWNM8e/PUonxN0OqGOtas3aFhYX8Nfjs2TOD2nJzc+Pbaty4MSsuLhZ0/JAhQxgAtmnT\nJoPiEKpHjx4MAAsPD9dp/4KCAhYVFaXy/7yhzNqDa0l0uaW6adMmtc9xkxprMnXqVH5OO05ERITS\netMAcOXKFezevVtrm2It6dq6dWuFHnRdvPzyyzqfX+iqXKzabUb5AXU///yz2uM2btwo6DzVcb1l\nf/zxh0Isurw21Xtw33rrLX7+3k8++UTjsZ9++ilcXV1x6NAhgREbZuPGjdizZw/Gjx8v+NilS5di\n7dq1otRZVf99y5cDqbpTs3XrVnTp0sUsI4RNTchYg4yMDJ3vOHA09eCeO3cO+/fvR3FxsaA2CTG3\nJ0+eKEwvaQpc762zs7PeS/Vy5HuA58+fL/h2vz51uKWlpQpz/QtVVlbG33Uz9wAzwMwlCpZK3a3L\niIgItcdUf4OW98033wAAwsPDVd56//zzz5W2TZs2DdOnT9cWKvr166d1H11pShwB6FRfK1Yt5fff\nf49Hjx4hLCwMd+7c0bj4hzyu/kkdfT8Q7Nq1S+PzjDGDbiVzCTA3F6wYdPldZGVl6d2+qknEjVFL\nqyph27BhAwDDS1KsCWMMvr6+8Pb2xr///qvzcZpWEnr99dcxYcIEwfNYE2Iu5eXl6NOnD9zd3eHp\n6akwHsbY5AeYGfq/kBukVrduXa1jdFThEsw///xT44fYkpISHD16FJMnT0bjxo3RvHlz3L59W6+Y\nY2JiUF5ejsaNG6NNmzZ6tSEmSnBVqD6ISZ309HQsXLgQ/v7+GqcF0zZ6v3rNpxCmfONRlYhXJ3Rw\nkSYtW7bErFmz4OPjo/QmfP/+fTx+/FjpGIlEgnv37uHy5cuoqKjA4cOHFZ5v3bq14FHjmj68cJYv\nXy6oTUPOJSZV/4TPnj2LCRMmIC4uDh9//LHK1xmAyjcOfeM/cuSI1rjEOI+p2jMHmUyG/Px8SKVS\njTXs1eny96DrWIF79+6J+j+AEKGio6MV7sBxCyaYghgDzDheXl4AgFmzZqFRo0aCj3/11Vfh6uqK\ntLQ0fPXVV0rPl5SUYM6cOWjSpAlGjx6Nffv2obCwEEVFRVrvOKojPz2YOQYOV1frE9xLly5BIpEo\n3BrW9c3hk08+waZNmxATE6PwBv3hhx8q7aupd0/baHp9mGoKtepUlVsYg5eXl8p/IpmZmejQoQP6\n9euHKVOmKM3fC1Qt9yzv22+/RXBwsMJ2+TdpXZJXrpdeF5pu91aPDfhvVRghfv75Z/Tv31/jPr/8\n8gt+/PFHpe1DhgzB/v370aVLF6xfvx5DhgzRer53331XcIzyduzYYdDx+pBPaq0hwZVPVCsqKnT+\n8KtLgqvLevG//fYbOnTooPfy3ISIofpg6ujoaJOdW4wBZpzly5dj8+bNeg+mr1evHv++tGLFCoWy\nr4qKCkyYMAE7duzgl/99//33sW/fPkgkEhw+fFivZX4taoAZKMHlkwD5T3x79uzh/6Hr+sYnPz1V\nYmKi0vNHjx5Ve6wx5qGcPXu26G2ak6bXSN28ugcOHFC5nVtKEaj6Q1+0aBHWrVuHGzduKGznXLx4\nUWi4GkVFRfFf6/K7X7JkicL3//77L9atW6e2vCArK4ufT1peeXk5+vfvj+XLl+Orr77CpEmTUFBQ\noPX8t27dUjtPM0fX2ud//vmHr0s2hBgJqfwbn7UluAMGDEDbtm11mnVFl2tQ3WpDV65cweuvv46U\nlBR+rnBTJhSEVMeNh+nTpw+AquvRVH/fXA+uIXPgcpo2bYp33nkHdevW1buNGTNmYPjw4SgvL8e0\nadNQUVEBmUyG2bNn48SJE3B0dMTJkyfx8OFDfPXVV5g4cSImTJgAAHrNn24pCzxwakWCu3z5cn6R\nCF0dPHgQx44d0+vWgCqmHqShLrmrqbglgsWwefNmldvN0eutz+3coKAgBAcHq51ubcSIESq3Hz16\nFJcuXcKaNWuwePFiQefUtQZM0xvJ06dP8dJLL6Fdu3aCzi3kPIwx7N27F3fu3NHahvw1JdYboFQq\nxfDhw/Hxxx+L0p4qJSUluHLlitIHO1WJ6s6dO7W2Z0jJTt++fXH69GlMnTpVUBuGevToEU6cOGEV\nH0yIuLge3KlTp8LW1hY5OTlax2aIRcweXDFIJBJs374dbm5uiImJwdq1a7F48WLs3r0btra2OHDg\nAF5//XWFD7ArV66ERCLB0aNHBU3TmJmZibS0NNjY2CAgIMAYP45gVp/gpqamYs2aNfj444+xc+dO\nncsBkpOTERQUpHU5XM6+ffs0Pv/WW2/p1A4RhqtTEkLdqFLuk6spff3111pXdouNjeVHthYWFvKf\nkm/cuIHCwkKl28fyPcTyjD2fqjbybzKaEpOsrCytc9SqO/748eOYMmUKfHx8BMUmVqL022+/4dSp\nU1i/fj02b96sVAZx4MABwbMcVDd9+nT07dtXaVYXVYmqg4OD1vaEJriq9jf1aPV27dph5MiR2L9/\nv0nPq4+srCw8efLE3GHUCowxvge3e/fu8Pb2BiB8Fh99ibGKmdiaNm2K7777DgAQEhLCD9ANCwvD\n8OHDlfb39vbGpEmT+P11xb0vderUyeAZJMRi9QmufE3ozJkzMWXKFL7XzNA3NaHL9xLx3b9/39wh\nCJKTk6Pw/cqVK/llGDWZO3cuSkpKlP5x1KtXD7a2tggICNA600T1c1en7XhdZrLQpeQBqPrbi4+P\nx9KlS5WmpWnatCkKCwsV9uVIpVJcvXpVZc93RUUFbt68qfJ8MTExeO+999R+YJU/x88//yx4WWeO\n/IeIBQsWKJQmnThxAuPHj0eHDh0Etfn+++/j008/BWMMqamp/MBJbgJ4jqrEs3ppQVpaGiZMmKCw\nRr0uCa78hzBV+0skErWDSp4/fy76HSzuWpQvNzKm7Oxsve62PH/+HN7e3njxxRcNmn6J6CYjIwNP\nnz6Fra0tOnbsCH9/fwD6lc3cunUL8+bNw8OHDwWdH7CcHlzOxIkTMXbsWP7/3FdffaWyjI2zYsUK\n2NjY4Pjx4zq/dpZWfwvUggRXFa6+8rXXXjNzJMRSGaMuGgCaNGmitE2XlWZ+/fVXdO3aVe3z0dHR\nGqexA6pWwtFE20p3x44d0/g8UHXnQx35BIgxBj8/P/6WmSbcMtVA1SqAgYGBSjM7FBcXw8PDQ+3y\n3f7+/vjmm2+waNEilc9zAzlSU1Mxbdo0wcs6c6p/aP7nn3/4r+VrvIX65JNPsHPnTpWDJjm6XLMT\nJ07E/v378eqrr/I9/0ITXFV3HNQlt6WlpXB1dUWTJk2MUk6g68pOhsjMzESrVq34ZeSFSE5OxtOn\nT/HkyROTJeO1Gfc/rGPHjnBwcODn6Baa4DLGMHPmTGzbtg1DhgzR6U4uY8ziShQ4EokEW7duxcSJ\nE7Fx40a8//77Gvfv2LGj4F7cv/76C4Dl1N8CtTTB5QbnyA8sq06X2jViveSX/xWLoXVgSUlJGp/X\nNNJdjORCzDXN5ePRdvtQ/s2Fu71W3e+//67TmxD3Bli9p5ebFkfI/LG6kP851Q3U0pW20dS6zHQg\nPzL6119/BaBbgiv//1BIDy7X+1VUVGSUEhlTJLinTp1CWVkZ/vjjD7WzxJSUlOD06dNKz8v/zefm\n5ho1TvLfADNfX18AQOfOnQFAp5p8eREREfz/paSkJIwdO1br/7+8vDz+Gre0BBcA3N3dsW/fPp3H\ns6xcuRI2NjY4efKk2jtjnKysLL70r2/fvoaGKhqrTnDVvanPnj1ba42foXVyhFTXokULldvFunWp\nKYkVu/dMl9rHM2fOqB24Jz+RuLbYdJlPUVMb8nMhc21xvRPy0tPTMXHiRIU29+/fjyVLluj0+t27\nd0/jBOmGJmPVY6j+vbZEtbS0VOE2OzdtkBg1uOp+R/JJtzEG2qp6TcWef1O+7EZdSdSkSZPw+uuv\nK91B4Hr0ANVTABJxcR/g/Pz8AADt27cHUHVnRtfFghhjWL16NQBg9OjRcHFxwaVLl7TeweJ+140a\nNdKp9t3SdejQAVOmTAFQtdKmJocPH4ZMJkP37t3RunVrE0SnG6tOcPPy8hT+wXB+//13g6beIERM\nYs14oSkJ0/aBDlC9Mpm69qvXf6oydOhQDBo0iP9e/m8xPDyc/1pIr6m6Gl9NsyrI39bnelFVJWlT\np05VmDuWMYYJEyYgNDRUabL4JUuWYPLkyfx5ZTIZOnTogKVLl6qNS+wEt6SkBEeOHOFfE1U/E2MM\np06dwr179+Dm5qbUo1xQUKCQ1OuioqICI0aM0GlmDfleL2MkuKqSWbET3OzsbP5rddcfl/xUX1hG\nvteWElzj43pdudrbpk2bwsnJCTKZTOdVLC9duoTr16/D0dER33//PebMmQNA+3zkljjAzFDcHPCn\nTp1SmUtxuA4PfZZ8NyarTnAjIyMV3mAJqa2qj7hXZfbs2QqDuzTRtVzhxo0buHnzJhhjCtOXyc/0\noOkfJ6ewsBALFy5U+Vx5ebnaBFeX2/Yc+XpZQDGhrH57OTQ0FPv27eM/FKjrHTJmgltUVIQxY8bw\nCaqqBHfr1q0YPnw4OnTooDRISiKRYObMmYLjiIyMxMmTJxXmRlZ3F0L+g5VYCa7866AqmTW0FKQ6\n+RkQVP2c8q979Q+S8n9PlOCKLyEhAWvWrEFOTg4KCgr4RZq48QoSiQRt27YFoPuAZG7Vr1mzZuGF\nF17AwIEDAQAXLlzQeJylDjAzRIcOHdCrVy8wxtTOFPX48WP8/vvvAIA33njDlOFpZdUJ7i+//GLu\nEAgxmR9//BGNGzdW+VxwcLBObTRs2FDtc1lZWVi+fDkePnyoshZRXZLZvXt3dOrUSSHBunz5sk7x\nAFVvUjNmzFCbpH/++ecqE9msrCylpI9LrFUlRtWTdk0D5jhcYqsuwV25ciVOnDgBALCzs9Panibq\nRnNHRETg0KFDgksNvv32W6UeR12omk3g6dOnKmfpkH9dSkpKIJVKsXHjRr1WSeJo+3AldoIrn5hW\n78FNS0tTmBBf1YcQVe1YKplMhvj4eK0zrliC7du3o1OnTli+fDnmzp3LD9Zt2bKlwv9BbipJXRLc\nxMREnD59GhKJBO+99x4AoHfv3qhTpw4ePHigsQ1r7MEFgDfffBNA1ewyqhw6dAiMMbzyyivw9PQ0\nZWhaWXWCq0vPECHWIiIiwuCBLJqSh8WLF2PNmjXo27evymSLG+ChitBBHtXJL6VdXXh4uMrkunfv\n3mp7cFUluNVnB+jYsaPKY+Xb5NrRlFyOHDkSKSkpqFOnDr9t8ODBGhMeoTXTb7zxhtb5lKvTt/Zb\n3c966dIl/msufvkEt7i4GHv37sW7776rcUYQbeQHq6l6nYyZ4FZ/zTp27MjXawJVib68mpbgbt68\nGX5+fmjTpo3alRItQWVlpcKH9iNHjvBz3HMzJ3C4hWV0+cDKLW07cuRI/jgXFxd+6itNvbjW2IML\nAOPGjUOdOnUQFxencqYdSy1PAKw8wa3+z4YQYjh1tWzGmsxe2wpzycnJKqcBSk5OxrZt21QeoyoJ\n0pTcy8egKsHTVgrRrl07hWnCzp8/r5AYCW1PFV3qrMWgS2xcsl09wZXvuf3uu+/0Gvwon+CqWlJd\njAS3rKwMkydPxo4dOxSua/keXKlUqvSaP3/+XOGDRk1LcLllyUtLS9UuGGMJrl+/jry8PLi5ufGL\nFXDziVdPcHXtwb106RJ2794NAHzvLUeXMgVusRNrS3AbNmyI119/HYDi2AmgqhPxzz//BGB55QmA\nlYFVzrIAAB3BSURBVCe4hBDT+fDDD812bnXLL6ub91ZVD66mXlj5AVXVE7y0tDSdlgLnpuXiqOpB\nraiowIwZM/RaB95Uy4Gr6ymWL13gPixUT3DlzZ8/H6dPnxZ8fvkEl4tF/sOJPoPMKioqkJCQwCfK\n33//Pfbt24c5c+ao7cFV98FLPglWl+DeunULM2fONPkKcNrI34XRNCOIuZ08eRJA1UBWblECTvW7\nA1xPrKoENzMzE++//z6CgoIwcOBAlJSUoF+/fujTp4/CflyCe/HiRbUfcLkPsNzUZNaEK1MIDw9X\n+P/HlSf07NkTLVu2NFd4alGCSwgRhS4LVhiLkJ7AO3fu6FSioEp6erpSMvXKK6/giy++0Pn8HFU9\njXv27MGuXbs09u6qww2OMTZd5rNVVZtcXFysVIes68h2defnkmr58+jTg/vee++hU6dO/ECav//+\nm39OVQ3utm3b8OKLL6psS/7OYfVBZtx1+vrrr2Pnzp2YOnUqtm3bBk9PT0gkEq0T8HNOnTqFefPm\nibo62rNnzxRKj7hp5CwRl+AOHz4c3bt3x4ULF9CnTx/06NFDaR5WLsFNSUlRSM6KioowZMgQbNiw\nAceOHYNMJsPMmTNx6tQppf8PL7/8MlxdXZGfn69ywZbExEQ8efIETk5O/AwO1mTYsGFo0KABHj16\nhCtXrvDbLbk8AaAElxAiEmOt/qYLXRZ54Pj7+/OjrYVYsmQJWrVqpbBc8qlTp5RWVdOVqiTbkME9\n+gwY04cug3e5DwHyyWhJSYlSgqvPfKHybXJfy2/TJ8H97rvvAIBPMOUTIfmeaS6hnDdvnsL0YfLk\nE1z5HtyysjK+pOHRo0cAqhYbmjdvHt+Tu2HDBq1J64MHDzB8+HBs27YNu3bt0u0H1EH1hPbu3bsm\nK3sRIiMjAwkJCbCxscGQIUMAAP369cOVK1dw/fp1peXMPT09YWdnh9LSUn5cDmMMc+bMQXx8PDw8\nPLBp0yZcunQJYWFhcHJyUjqnnZ0dv7qhqsFW3KJRr7zyCuzt7UX9eS2Bo6Mjxo0bB6DqQzhQ9Xuw\n5PIEgBJcQkgto2oWAF2EhoYqbdOnlIAjZMEES8LVaWqirgdX19ri48ePY/ny5Sr3V5Xgyp9Hn/pl\n+Rhzc3PVflhTNw+uPG5Fq8GDByMyMlLpOW24JU/VkX/95Zex5hw6dAgTJ07UeVosDjcIq1+/fmjS\npAmkUqlBs11wUlJSMGzYMISEhPB/e9xiCq1bt9bpepLHJVWdO3eGm5ub1v3t7Oz40f3czxgdHY29\ne/fCzs4OBw4cwPz587WuwDVt2jQAVR/wqt/F4KbJ6t27t6CfpSaZOnUqAODgwYMoKSnBwYMHAQCB\ngYEWO3MEJbiEEGIGqga1ib3inLmoqsF95513lJYbnj17tlJpBWMMo0aNwpo1a/iZGVJTUzFo0CBE\nRESoLFGQ3/b8+XP4+PhoXV5U/nzyxzZp0kRtL/WzZ8+0lmjk5+fj77//xvnz55Wei4iIwJYtWzQe\nX30+5uq4JVEB5SWnU1NT8cYbb+DXX3/FypUrNbZTHZcQt2/fHt27dwcApQQdqPrdqluyWNW+EydO\nREREBFatWoX//e9/AICvv/4aK1euRGpqKhYtWiTouuc+APTq1UvnY7ile7mBc1xyNmbMGJ2T0n79\n+qF58+Z4+vQpXyLB4XpwrTnBDQwMhKenJwoKCnDixAmLL08AADArVFRUxKKiotiLL77IANCDHvSg\nh0U+Dh48yLKzs1llZSVbvny52eMR62Fra8sSEhJYaGioTvtfuHCB/fbbbywlJYV99tln/PajR48y\nxhgbOnQov+3KlSsKx3799dcsPj5eqU0fHx+V7w8ymYy98847bOHChUwmk7GnT5/q/HN169aNZWRk\nKG1v2rQp69atGwPAtmzZwo4cOaLwfP369TW22717d7ZixQoGgM2ePVsh3ufPn7N79+7x33fs2JE/\nTiKRsOLiYv65LVu28M+5uLgoPMcYY3FxcWzcuHFsy5YtSq/L5MmTGQC2fv16tnr1agaABQUFKb12\n3bt3Z+7u7uz+/fta34sPHTqk8HNKJBIWFxfHmjVrprA9IiJCa1scf39/BoDt27dP52O++OILBoCN\nHj2ayWQy5uXlxQCwX3/9Vec2GGNsyZIlDAAbOXIkv+3hw4cMALOzs2OFhYWC2qtpli5dygCwgIAA\n/veZkZFhUJsFBQUsKiqKFRUViRTlfyjBpQc96EEPMz8mTpxo9hgs4TFkyBCF7w8dOsQYY8zb25vf\ndv78eaXjVG174YUXVL4/xMbG8vskJiay+/fva43L2dmZAWDt2rVjcXFxCs+NGzeOMcbYW2+9xYCq\n5KdXr14K+3BJmbrHmDFj2L59+xgA1qtXLz7WgoIC1r59e2Zra8vi4+PZkydPlI6Ni4vj9x83bpzC\ncyEhISwvL48xxphUKmUtW7ZkAJiNjQ3LyclReF169OjBv+Z//fUXA8BcXV1ZeXk5v09MTAzf9qBB\ng7S+F3OvyaJFi1hQUJBCbE2aNGFz5sxhANjMmTN1em9//vw5s7W1ZQBYWlqaTscwxtjVq1f5c3K/\nP0dHR/b8+XOd22CMsdu3bzOgKpnlPnTs3r2bAVUfUqxdQkKCwu+wT58+BrdpzASXShQIIcTMaNXF\nKmfOnFH4PiMjQ2mVOFUlAqqmabOzswNjDLt27VIYQCU/Q0JcXJxOi6Nwc6kWFBQoDQR0dXUF8N8q\ngMePH1eqjX3hhRc0tt+iRQt4e3sDqJrlg/3/W/aHDx/GvXv3IJVKsX//fly/fh1AVRkBt/iAfEkD\nV1Lw8ssvAwBCQkLQvn173L17F5cuXUJ6ejqAqjrlAwcO8MfJZDK+nQ4dOsDf3x/169dHQUEBXnnl\nFX46KPkFVy5cuIBnz56htLQUb7/9Nj744AOFAXaMMf73OXToUKxbt05hueo5c+ZgzJgxfFusWpnC\nw4cPcffuXYWa6mvXrkEqlaJly5aCpqXq1q0b7O3tkZ2dzV8r//d//wcXFxed2wAAHx8fDBgwAJWV\nlZg4cSLKyspqRf0t56WXXlKYZ9iiyxMAmLUHt7S0lAUHBzN/f3/Wq1cv9uOPP6rdNyEhgb3xxhvM\nz8+PjRkzhsXHx6vdl3pw6UEPetDDOh4SiUTh+3nz5ul03AsvvMAiIiL47ysqKhhj/91m5R59+/bV\n2tbYsWMZAFanTh2+x457vPXWW4wxxtauXavy2O+//54tWrRIY/vr169nxcXFzM7OjgFgKSkpjDHG\nZs6cye/TpUsXvoxl+vTpbO7cuQwAW7JkCWOMsaysLP71evDgAfPz8+OPnTZtGr8/9+jZsyf/npmY\nmMgAMCcnJ1ZRUcEqKyv53lfusWXLFtalSxeFbSdPnmTbtm3jvx82bBjfJtdTXrduXVZSUsIY+69U\nYNKkSaykpIQVFhYye3t7BoDdvXuXf/+eMGEC32anTp1Yeno6Y4zxP8OsWbME5xs9e/ZUiH3Pnj2C\n22CMsfT0dNaoUSMGQCHHOHbsmF7t1TQbNmzgr7PHjx8b3J7Vlih8+umnbMSIEez27dvs3LlzrGvX\nriprcYqKilivXr3YunXrWHJyMlu9ejXr2bOn2heEElx60IMe9KjdDzs7O7Zw4UL++/j4eDZp0iS9\n2qqeFMs/uARTPtHjHps2bWKMMXb48GGN7XPJFlfasGHDBsYYY23btlXYr0GDBgwA+/HHH/nzDRw4\nkDHG2IkTJxjwX+1xRUUF+/333xkAZm9vz5dZ/PTTT8zGxoYBYLGxsYwxxvbs2cOA/5LeyspKduPG\nDfbRRx8xX19f/vXk4hgxYgQDwBYvXqxQEwyARUVFMcb+S/iHDx+u8P7MlUxwuA8Y3333HWPsvw8g\nEomEOTo6MqCqNOTx48d8Ynn+/HkhqQZjjLHFixfzMfbs2ZP/wKMP7rXm4pwxYwarrKzUu72aJDc3\nl/n5+bH//e9/orRnlQluUVER8/X1ZdevX+e3fffdd2zq1KlK+x44cID179+fyWQyxlhVofugQYP4\n+ixVbVOCSw960IMetfvRunVr/uvq9b1CHlwCKP9wcnJiAQEB7NatW/z7VPV99u/fzxirqn/dsWMH\nS0pKUtn+5cuXGWOMbd68mQFVg9Ju3rzJgKp6WS7JBKqS1by8PIUe0uLiYr53V76eVX5AFVCVIJeV\nlfE9pJ06dWI3b97ke0YXLlzIGKtKcKOiolhlZSUrKytjrVq14tvo3LkzCw8PV4jf2dmZjRw5kgFV\nvd2MMdanTx8G/Je4qsMlwoMGDWL379/ne3QPHjzIUlNTWZs2bRTO1bhxY72S0+PHjzOgqq74wYMH\ngo+vbvv27Wz+/Pnszp07BrdVm1llghsdHc28vb1ZWVkZv+369evM19eXSaVShX2XL1/OPvzwQ4Vt\nS5YsYStWrFDZNiW49KAHPaz9ERUVZfYYDH1wA4Ys7TFq1Ch+0BWgPHMDALZ8+XKF952LFy8q7fP7\n778rvT917tyZAVBIWrkBSxUVFfxsDO3bt2dA1Yj1r776it93wYIFjLGq5JUbNBYeHs5eeeUVBoBt\n3bpV4Xzr1q3jj+U6kFJSUljjxo0ZoNgzy91BlU9wGVPsnf7yyy/Z8+fP+R5hoCqp5gZgSSQSFhER\noVRuoU5ycjJ/LQwbNowBYIMHD+Y7tOLj41ndunX5c82fP19je+pIpVL29ddfs8jISL2OJ8ZhlQnu\nmTNnFGqAGKu60Dt06MD+X3t3HhPV1YYB/GERRSwIFJdqP6VsogKxhVYRlUrrggpI1bQugFHEutQm\n1Y6mJYqFVMEubom41Zra1jYWqhG0aNyqgoJUUMHIYoVYN9RBYABn5nx/GG4cQQWFO3B5fslJZs6d\ne+ad8M6dlztnzi0rKzPoj4qKEgkJCQZ98fHxIjIyssGxWeCysbEpveXl5Rk9hpdp7u7u4vr16y+0\nb0ZGxks/f0pKihg5cqR0v+5r9z59+gghhNi/f7+07d69e2LatGkG+y9fvtzgc+fSpUsG2319fQ1W\nIKhz69YtcejQIXHkyBEBPCowH1/O68mzxZ999pmoqakRkZGRIiwszGApqpiYGIPHmpqa1psX+eDB\nAzF06FDh6+srrl69KvUXFxdLBSXwaFmx6upqIUT9Avfhw4ciJiZGbN++XSo8Z82aJe1b903sxIkT\nDeJp7K/sn1xl4skiNDU1VUyZMkWsWbNGqNXqRo1JbYMiC9ykpCTh7+9v0Hft2jXh6upa7w0aFhYm\n1q5da9D3/fffi/Dw8AbHZoHLxsampDZ79ux6fSUlJU0aY8+ePWLq1KniyJEjYujQoSI8PFy8/fbb\n0va6guvxFhoaKiZPniwCAgKkM4qPt6NHj4qDBw8KZ2dnMWbMGGFtbS1ts7S0lG6vWLFCVFRUiLy8\nPFFYWCg+//xzUVJSIrRarXR20NraWkRHR9f7SrqhptFo6vVFREQ0+Ni6NV3rmp2dnVi1apXQarUG\n69UWFxeL7du3S3FVVVWJCRMmiE8//VRotVpRWVkpLZ8FPJp+oNVqpVZbWytt279/v/RjrWe15ORk\nkZKSYtBXXV0tneXt0qWLyMvLe+r+arVaWpO0Lk+e95yPt6qqKuHn5yfMzc3Ftm3bpP6amhqRmZkp\nampqnrrv3bt3xc8//yyys7OlvpKSEtGjRw8BPDqTe+rUqUbFsW7dOuk1jB07tkmvga1tt/v377dY\ngWsihHEunZOamorY2FiD5VQKCwsRGBiIjIwMdO3aVeqfM2cOXF1dsXjxYqkvISEBhYWF2LRpU72x\nq6qqkJeXh2nTpuHy5cst+0KIqNHef//9eld4cnBwQFBQEN544w188cUXUn/Xrl0Nlh2q4+7uDi8v\nr3pLaw0bNgwnTpxA37594e3tLV2tCHi09NGIESNw9OhRXLlyBQCwdetWJCQkwNXVFZ06dUL//v1R\nVFSEsWPHYt26ddKSTJGRkSgpKTFYwuqVV17BkCFDMHXqVHz77beYN28e7O3tsWvXLgwdOhQFBQVI\nTEyEhYUFFixYgF9//RUuLi6Ijo6GlZUVtFotjh07hs2bNyMhIQGZmZno378/hBC4ePEizM3Nce/e\nPVhaWsLFxQWDBw9GcnIyzMzMYGtrC61WC39/f5w8eRIbN26Ek5MTZsyYgT179uDGjRs4efIk7Ozs\n4OLigmHDhqGmpgbh4eEN/k2qq6tRVlaGXr164dSpU6isrISVlRXS0tKwePFiWFlZAXi0lFRKSgqG\nDBkCS0tLdO7cucHxLly4AHt7e3Tr1g1VVVXIysqCr68vLCwsnpoXarUa1tbWMDExQXFxMRITE2Fr\naws7Ozs4ODjgwIEDGDRoEM6fP4/Jkyfj3XffRWlpKXQ6HW7evAkrKysMGDAAubm5OHjwID788EOc\nPXsWo0ePRocOHbBx40bo9XrMnDkTXbt2lS6JrNPpsGXLFvTs2RPBwcFPje9xN27cQHp6OoKCgmBq\narjSZnZ2NgoLC/HBBx+81GWXKyoqkJ6ejn79+qF3797PfGx1dTXS0tLQoUMHvPfeezA3N2/Sc+l0\nOmg0miYvmfU0d+7cwYkTJ/D666/D29u7UfsIIZCbm4vi4mKMGDHC4POf2gd3d/enHlNelNEK3HPn\nzmH69OnIycmR3pDp6emIiopCdna2wYEjOjoaDx8+NLjMo0qlQseOHbFy5cp6Y9cVuM7Ozs32piVq\niE6nQ25uLjw8PAzWeCRqbsw1kgtzjeRSUVGBgoKCFilwm/avXjNyd3eHubk5/vnnH+m/vKysLHh4\neNT7r9jLywtbtmyBEAImJiYQQuDcuXOYO3fuM5/D1NSUb06ShZmZGXONZMFcI7kw16ilPVnvNevY\nLTbyc1haWiIkJAQrVqxATk4ODh06hO3btyMsLAwAcPv2bVRXVwMAxowZg/LycsTFxaGgoABxcXHQ\naDQYO3asscInIiIiolbKqJfqXbZsGQYMGIDw8HDExMRg4cKFGDVqFADAz88PKSkpAIAuXbogMTER\nWVlZCA0Nxfnz57F58+ZmP51NRERERG2f0aYoAI/O4q5evbrB64g/+eMwT09PJCUlyRUaEREREbVR\nRj2DS0RERETU3FjgEhEREZGiGHWKQkvR6/UAHq0PyF+AUkvS6XQAHi1Nx1yjlsRcI7kw10gudYsJ\n1NVtzclo6+C2pLKyMly9etXYYRARERHRc/Tt2xf29vbNOqYiC1ytVgu1Wo2OHTu26BprRERERPRi\n9Ho9ampqYGNj0+Sr8D2PIgtcIiIiImq/eHqTiIiIiBSFBS4RERERKQoLXCIiIiJSlHZf4M6fPx8+\nPj745JNPjB0KKcyRI0cwevRojBo1Cr///ruxwyEF43GM5PDff/9hxowZCAwMxIQJE5CammrskEih\nysvLERoaiuDgYIwfPx6//fZbk8do9z8yy8jIQGVlJZKTk7Fu3Tpjh0MKodVqMW7cOOzcuRNWVlYI\nDQ3F7t27YWtra+zQSIF4HCM53Lp1C2VlZXB3d8ft27cRGhqKgwcPonPnzsYOjRRGp9OhtrYWlpaW\nqKqqwvjx47Fnz54mfYa2+zO477zzDqysrIwdBilMTk4OnJ2d0b17d3Tp0gXDhw/HyZMnjR0WKRSP\nYySHbt26wd3dHQDg4OAAW1tbqNVqI0dFSmRmZgZLS0sAQG1tLQCgqedjW3WBe/bsWcydOxd+fn5w\nc3PDoUOH6j1m165dGDlyJDw8PDB58mTk5OQYIVJSmpfNvVu3bqF79+7S/R49euDmzZuyxE5tC49z\nJJfmzLULFy5Ar9ejZ8+eLR02tUHNkWvl5eUICgrCiBEjMGvWLNjZ2TUphlZd4FZVVcHNzQ3Lly9v\ncHtKSgq+/vprzJ8/H0lJSejXrx9mzZqFsrIy6TF18zeebCw26FmaI/eIGoO5RnJprly7f/8+VCoV\nVq5cKUfY1AY1R65ZW1tj7969OHz4MPbt24c7d+40LQjRRri6uoq0tDSDvkmTJomYmBjpvk6nE35+\nfiIxMbFJY6enp4uFCxc2S5ykPC+Se1lZWWLevHnS9tjYWLF37155AqY262WOczyOUVO8aK7V1NSI\nqVOniqSkJNlipbatOeq35cuXi9TU1CY9b6s+g/sstbW1uHjxInx9faU+U1NT+Pr6Ijs724iRkdI1\nJvc8PT1x5coV3Lx5E5WVlTh+/Dj8/PyMFTK1UTzOkVwak2tCCCxduhSDBw9GSEiIsUKlNq4xuXbn\nzh1UVFQAAB48eIDMzEw4Ojo26Xma98K/Mrp37x50Oh3s7e0N+u3t7VFUVNTocSIiIpCfnw+NRoPh\nw4dj7dq1GDRoUHOHSwrSmNwzNzeHSqVCWFgY9Ho9Zs+ezRUUqMkae5zjcYxeVmNyLSsrCykpKQZz\nKuPj4+Hm5iZ7vNR2NSbXrl+/jujoaAghIITA9OnTm5xnbbbAbS47duwwdgikUAEBAQgICDB2GNQO\n8DhGcvD29kZ+fr6xw6B2wNPTE3/++edLjdFmpyjY2trCzMys3uT3srIyvPrqq0aKitoD5h7JhblG\ncmGukVzkyrU2W+BaWFhgwIABOH36tNSn1+tx+vRpfjVHLYq5R3JhrpFcmGskF7lyrVVPUaisrMS1\na9ek+6WlpcjLy4ONjQ1ee+01zJw5EyqVCgMHDoSnpyd+/PFHaDQahIaGGjFqUgLmHsmFuUZyYa6R\nXFpDrrXqS/VmZGQgLCysXv/EiROxatUqAMBPP/2Ebdu24fbt23B3d8eXX34JLy8vuUMlhWHukVyY\nayQX5hrJpTXkWqsucImIiIiImqrNzsElIiIiImoIC1wiIiIiUhQWuERERESkKCxwiYiIiEhRWOAS\nERERkaKwwCUiIiIiRWGBS0RERESKwgKXiIiIiBSFBS4RERERKQoLXCKiNqK0tBRubm4oLS19of2X\nLl2KpUuXNnNUREStj7mxAyAiosbp2bMn/v77b9jZ2Rk7FCKiVo0FLhFRG2FmZgYHBwdjh0FE1Opx\nigIRUQuqm1awb98+DBs2DN7e3oiNjYVWqwUApKWlITAwEF5eXpg0aRLOnDkj7Ttjxgx89dVXCAgI\ngL+/Py5fvmwwRUGtViM6Ohq+vr546623sGTJEqjVamn/zMxMhISEwNPTE4sWLYJGo5H3xRMRGQkL\nXCIiGWzYsAHfffcdNmzYgL/++gvr169Hfn4+VCoVPv74Y+zduxdBQUGIjIzEv//+K+33xx9/ICEh\nARs2bICVlZXBmAsWLEBeXh42bdqEH374AYWFhdIc27t37yIqKgq+vr5ITk6Gs7MzDhw4IOtrJiIy\nFk5RICKSwZIlS+Dt7Q0AWLRoEdasWYPr169jypQpmDBhAgAgLCwMZ8+exS+//CIVqv7+/njzzTcB\nwODHZfn5+Thz5gwOHDgAR0dHAEBCQgICAwNRVFSE06dPw87ODkuWLIGJiQkWLlyIY8eOyfmSiYiM\nhgUuEZEM6opUABg4cCDu3r2L7Oxs3LhxA7t375a2PXz4EH5+ftL9Xr16NTheUVERrK2tpeIWAJyc\nnGBjY4OioiIUFBSgX79+MDExkbZ7eHhwmgIRtQsscImIZNChQwfptl6vBwBYWloiMjISISEhBo/t\n1KmTdLtjx44NjmdhYdFgv06ng06nAwAIIerFwAKXiNoDzsElIpJBXl6edPvChQvo1q0bnJycUFpa\nij59+kht9+7dOH78+HPHc3R0RHl5OYqKiqS+goICVFRUwNHRES4uLrh06ZJU7D4ZAxGRkrHAJSKS\nQVxcHHJzc3Hq1CmsXbsW06ZNQ0REBFJSUrBz505cu3YNO3bswI4dO9C3b9/njufk5IThw4dDpVIh\nJycHOTk5UKlU8PHxgaurK8aNGweNRoO4uDgUFRVh69atyMrKavkXSkTUCnCKAhGRDAIDAxEVFQW9\nXo+PPvoIc+bMgampKeLj47F+/XrEx8fjf//7H7755hv4+Pg0aszVq1cjNjYWERERMDMzQ0BAAJYt\nWwYAsLGxwdatW7FixQoEBwfDx8cHwcHB9aYtEBEpkYng0Y6IqMWUlpYiICAAhw8fRu/evY0dDhFR\nu8ApCkRERESkKCxwiYiIiEhROEWBiIiIiBSFZ3CJiIiISFFY4BIRERGRorDAJSIiIiJFYYFLRERE\nRIrCApeIiIiIFIUFLhEREREpCgtcIiIiIlIUFrhEREREpCgscImIiIhIUf4P4pjmxJp8WSUAAAAA\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from astropy.timeseries import LombScargle\n", "\n", "ls = LombScargle(data.t, 1, fit_mean=False, center_data=False)\n", "freqW, powerW = ls.autopower(minimum_frequency=0, maximum_frequency=24)\n", "\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "fig.subplots_adjust(bottom=0.2)\n", "ax.set_xscale('log')\n", "ax.plot(1. / freqW, powerW, '-k', rasterized=True)\n", "\n", "ax.set(xlabel='period',\n", " ylabel='window power',\n", " xlim=(0.1, 1000));\n", "\n", "fig.savefig('fig14_LINEAR_window.pdf')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/ipykernel/__main__.py:4: RuntimeWarning: divide by zero encountered in true_divide\n", "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/ipykernel/__main__.py:5: RuntimeWarning: divide by zero encountered in true_divide\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqsAAAEcCAYAAADgPP2hAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzs3XlYVNX/B/A3iAqoKCiQ0jdcMTRFAjEVzS3T3HDJSnMp\nlyyXNnPXNDUDM1vU3ELNXHJNTc0tJRfcQBAXcAfcURFZBxju7w8f5jfDrHeYyx2G9+t57uPMnXvP\n+cyZET6ce+45doIgCCAiIiIiskL2cgdARERERKQPk1UiIiIislpMVomIiIjIajFZJSIiIiKrxWSV\niIiIiKwWk1UiIiIislpMVomIiIjIajnIHYAU8vPzkZaWhooVK8Lenvk4ERERkbUpKCiAQqFA1apV\n4eCgPyW1yWQ1LS0Nt27dkjsMIiIiIjKidu3aqF69ut7XbTJZrVixIoDnb97JyUnmaIxTKpW4cuUK\nfHx8UK5cObnDsUlsY2mxfaXHNpYW21d6bGPplbY2zs7Oxq1bt1R5mz42mawWXvp3cnKCs7OzzNEY\np1QqAQDOzs6l4stVGrGNpcX2lR7bWFpsX+mxjaVXWtvY2JBNDugkIiIiIqvFZJWIiIiIrBaTVSIi\nIiKyWkxWiYiIiMhqMVklIiIiIqvFZJWIiIiIrBaT1TIiLy8PkyZNwqFDh+QOhYiIiMhkTFbLiOXL\nlyM0NBSdOnWSOxQiIiIikzFZLSNu3LghdwhEREREojFZJSIiIiKrxWSViIiIiKwWk1UiIiIislpM\nVomIiIjIajFZJSIiIiKrxWSViIiIiKwWk1UiIiIislpMVomIiIjIajFZJSIiIiKrxWSViIiIiKwW\nk1UiIiIislpMVomIiIjIajFZJSIiIiKrxWSViIiIiKwWk1UiIiIislpMVomIiIjIajFZJSIiIiKr\nxWSViIiIiKwWk1UiIiIislpMVomIiIjIajFZJSIiIiKrxWSViIiIiKwWk1UiIiIislpMVomIiIjI\najFZJSIiIiKrxWS1FEtMTETr1q2xdetWyerIy8vDgQMHkJmZKVkdRERERPowWS3FRo0ahRMnTqBf\nv36S1TFt2jR07twZISEhktVBREREpA+T1VLsyZMnktexbNkyAMDBgwclr4uIiIioKCarRERERGS1\nmKwSERERkdViskpEREREVovJKhERERFZLVmTVYVCgSlTpiAwMBDBwcEIDw/Xe2xCQgLee+89NG3a\nFD169MDJkydLMFIiIiIikoOsyWpYWBguXLiANWvW4Ouvv8aiRYvwzz//aB2Xnp6ODz/8EPXr18eu\nXbvwxhtvYMyYMXj8+LEMURMRERFRSZEtWc3KysLmzZsxdepUNG7cGG+88QaGDx+OdevWaR27fft2\nODs7Y+bMmfD29sa4cePg7e2NCxcuyBA5EREREZUU2ZLV+Ph45Ofnw9/fX7UvICAAsbGxKCgo0Dj2\n9OnT6NixI8qVK6fat3XrVrz++uslFi8Vz6JFizBy5EgIgiB3KERERFSKOMhVcUpKClxdXVGhQgXV\nvho1akChUODp06dwc3NT7U9OTkbTpk0xffp0/Pvvv/Dy8sLEiRMREBBgsA6lUgmlUinZe7CUwhjF\nxqqe+Bk7V/0PAHPbpDhtOXbsWABA79690blzZ7PLMZe5bUymYftKj20sLbav9NjG0ittbWxqnLIl\nq9nZ2RqJKgDV89zcXI39WVlZWL58OQYPHowVK1Zg9+7dGDZsGPbu3YuaNWvqrePKlSuWD1xCcXFx\noo7PyspSPY6JiTF4bEpKisnHqlP/Iok5T5+4uDh4eHgUu5zi1E/SYftKj20sLbav9NjG0rO1NpYt\nWa1YsaJWUlr43NHRUWN/uXLl4Ovri3HjxgEAGjVqhOPHj2PHjh0YNWqU3jp8fHzg7Oxs4cgtT6lU\nIi4uDk2aNNEY6mBMpUqVVI+bNWtm8Fh3d3eTj1WnHo+Y8/SpU6eORcoRy9w2JtOwfaXHNpYW21d6\nbGPplbY2zsrKMqljUbZk1dPTE6mpqcjPz4eDw/MwUlJS4OjoCBcXF41j3d3dUbduXY19tWvXxr17\n9wzWUa5cuVLxYRUSG6+dnZ3GuYbY2///8GRz28QSbWlvby/rZ1LavhOlDdtXemxjabF9pcc2ll5p\naWNTY5TtBitfX184ODhoXFqOiopCkyZNNBIr4HmPXkJCgsa+GzduwMvLq0RilUt6errcIRARERHJ\nSrZk1cnJCSEhIZg5cybOnz+PgwcPIjw8HIMHDwbwvJc1JycHAPDuu+8iISEBv/zyCxITE/HTTz8h\nOTkZvXr1kit8yYWHh8PFxQU//vij3KFYlHpvMBEREZExsi4KMHnyZDRu3BhDhgzBrFmzMHbsWNWd\n4sHBwdizZw8AwMvLCytXrsThw4fRvXt3HD58GMuXL4enp6ec4Utq2LBhAIDPP/9c5kiIiIiI5CPb\nmFXgee9qaGgoQkNDtV4retk/ICAA27ZtK6nQiIiIiMgKyNqzSkRERERkCJPVUoyrQREREZGtY7JK\nRERERFaLyWoZYe5d+GlpaVYRBxEREZVNTFaJiIiIyGoxWSUiIiIiq8VktRTjJXUiIiKydUxWiYiI\niMhqMVklIiIiIqvFZJWIiIiIrBaTVSpRHGdLREREYjBZJSIiIiKrxWSViIiIiKwWk1UiIiIislqi\nk9WsrCwp4iAiIiIi0iI6We3evTsuXbokRSxERERERBpEJ6v29vbIy8uTIhYqAzgbABEREYnhIPaE\ndu3a4YMPPkD79u3h5eWFChUqaLw+ZswYiwVHliMIgtwhEBEREYkmOllNSEhA48aN8fDhQzx8+FDj\nNfaalSy2NxEREdk60cnq2rVrpYiDiIiIiEiLWVNXJScnIzQ0FJ988gkePnyILVu2ICoqytKxERER\nEVEZJzpZPXPmDHr27Ik7d+7g6NGjUCgUuHHjBoYMGYL9+/dLESPpwXGoREREZOtEJ6vz58/Hl19+\niZ9//hkODs9HEUyYMAHjx4/Hzz//bPEAybZwnC0RERGJITpZvXLlCl5//XWt/R07dkRSUpJFgiIi\nIiIiAsxIVr28vBAXF6e1/8iRI/Dy8rJIUERinDlzBpMnT0ZmZqbcoRAREZGFiZ4N4LPPPsOkSZMQ\nFxcHpVKJv/76C7dv38bu3bsRFhYmRYxEBgUFBQEACgoKEBoaKnM0REREZEmie1bfeOMNrFu3Do8f\nP0aDBg1w6NAh5ObmYt26dXjrrbekiJHIJBcuXJA7BCIiIrIw0T2rW7ZsQdu2bdmLSkRERESSE92z\numXLFnTo0AE9evRAWFgYTp48iby8PClis3kZGRlQKpVyh1GiOBsAERERiSG6Z3Xjxo3IyMjAyZMn\ncfLkScyePRv37t1DUFAQ2rZtiwEDBkgRp8159OgR3N3d0bRpU0RHR8sdDhEREZFVEp2sAkDlypXR\nqVMnBAYGolWrVti9ezf27NmDiIgIJqsm2rdvHwDg/PnzZpfBXkpNXCSBiIjI9ohOVrdv347o6GhE\nR0cjMTER9evXR0BAABYsWIDAwEApYiQiIiKiMkp0sjp58mTY29ujbdu2mD59Olq0aMEePiIiIiKS\nhOhkNSIiAmfOnMGZM2cwe/ZsPHjwAH5+fggICEBAQABatGghRZxEREREVAaJTlY9PT3RvXt3dO/e\nHQCQlJSElStX4tdff0V+fj4uX75s8SCJiIiIqGwSnaxmZGQgKioKp06dwunTpxEfH4/69etj8ODB\nCA4OliJGIpPwBisiIiLbIzpZbdGiBVxdXdGyZUsMGjQIrVu3Ro0aNaSIjYiIiIjKOLNWsPL19QVQ\nNie1JyIiIqKSIzpZ9fX1xZo1a7By5Uo8evQIAODm5ob33nsPY8aMsXiARERERFR2iU5WFy9ejD/+\n+AOffvop/P39UVBQgOjoaCxatAgVKlTAyJEjpYiTyCiOWSUiIrI9opPVTZs2Ye7cuejQoYNqn6+v\nLzw9PTF37lwmqyWIyRkRERHZOnuxJ2RkZKB27dpa++vUqYMnT55YIiYiIiIiIgBmJKv+/v4IDw9H\nQUGBap9SqUR4eDiaNm1q0eDIMK4cRkRERLbOrOVWBw4ciBMnTqBx48YAgIsXLyI3NxcrV660eIC2\niokmERERkXGie1br1auHvXv3YujQoahevTpq1aqFkSNHYt++fXj55ZdFlaVQKDBlyhQEBgYiODgY\n4eHhRs+5ffs2/P39cerUKbGhk43jGF4iIiLbI7pnFQBcXV3RqlUreHp6wt7eHg0bNkSlSpVElxMW\nFoYLFy5gzZo1uHv3LiZOnIhatWqhS5cues+ZOXMmsrKyzAnbqjCxIiIiIjJOdLL66NEjjB07FjEx\nMXBxcUFBQQEyMjLQunVrLFy4EFWqVDGpnKysLGzevBkrVqxA48aN0bhxY1y9ehXr1q3Tm6zu3LkT\nmZmZYkMmIiIiolJKdLI6depUlC9fHgcOHMCLL74IAEhMTMTUqVMxc+ZMLFiwwKRy4uPjkZ+fD39/\nf9W+gIAALF26FAUFBbC31xyhkJqaivnz5yM8PBzdu3c3qQ6lUmm1K2wVvUFN/d+i9O1X75019j51\n1SeWJdpSys9EEASjbWit34fSju0rPbaxtNi+0mMbS6+0tbGpcYpOVk+fPo1NmzapElUA8Pb2xrRp\n0zBgwACTy0lJSYGrqysqVKig2lejRg0oFAo8ffoUbm5uGsd/99136N27Nxo0aGByHVeuXDH52JKW\nmJioehwXF6fxb1ExMTE696sPh9B3TKGUlBSTj9XH3PPU3bx50yLl6JKenm60bH1tTJbB9pUe21ha\nbF/psY2lZ2ttLDpZ/d///oeEhAStpPHu3buoVauWyeVkZ2drJKoAVM9zc3M19p84cQJRUVH4+++/\nRcXq4+MDZ2dnUeeUlEuXLqkeN2nSBHFxcWjSpAnKlSundWyzZs10lqH+3vQdU8jd3d3kY/Ux9zx1\nderUsUg5ulSpUkVv2Uql0mAbU/GwfaXHNpYW21d6bGPplbY2zsrKMqljUXSy2rdvX8yaNQsXL16E\nv78/HBwccPnyZfz+++/o06cP/vrrL9WxISEhesupWLGiVlJa+NzR0VG1LycnBzNmzMDXX3+tsd8U\n5cqVs9oPS32YQ2GM+uLV9x7Up78y9j511SeWJdpSys/Ezs7OaNnW/J2wBWxf6bGNpcX2lR7bWHql\npY1NjVF0srpmzRpUqVIF+/btw759+1T7K1WqpLHPzs7OYLLq6emJ1NRU5Ofnw8HheRgpKSlwdHSE\ni4uL6rjz588jOTkZ48aN0zh/xIgRCAkJwTfffCP2LRARERFRKSE6Wf33338tUrGvry8cHBwQExOD\nwMBAAEBUVBSaNGmi0QvYtGlT7N+/X+Pczp07Y86cOWjdurVFYikLuAgBERERlUZmzbNqCU5OTggJ\nCcHMmTPx7bff4uHDhwgPD8e8efMAPO9lrVKlChwdHeHt7a11vqenJ6pXr17SYVsVMQmoLcxNS0RE\nRGWP6BWsLGny5Mlo3LgxhgwZglmzZmHs2LHo3LkzACA4OBh79uyRMzyb8uuvv8odguS40AIREZHt\nka1nFXjeuxoaGorQ0FCt1xISEvSeZ+g1IiIiIrIdontWk5OTpYijzOEYUiIiIiLjRPesdu3aFV5e\nXmjTpg3atGmDFi1aiJ5SioiIiIjIFGatYHX69GlERkbi+++/R1JSEgICAlTJa/369aWIk4iIiIjK\nINHJqrOzM9q1a4d27doBAG7cuIHFixcjLCwMYWFhuHz5sqVjJDIJb7AiIiKyPaKT1Tt37iA6OhrR\n0dGIiorCjRs3UKdOHbzzzjuq+VKpZDA5IyIiIlsnOlnt2LEj7O3t0bZtW3z66acIDAxE1apVpYjN\npjHRJCIiIjJOdLIaFhaGs2fP4syZM5g8eTKaNWuGwMBAvPrqq2jatCkqVKggRZxEREREVAaJTlZ7\n9uyJnj17AgAeP36Ms2fPIiIiAosWLYKdnR1iY2MtHiSRKdhbTUREZHvMWhQgIyMDUVFROHXqFE6d\nOoWEhAT4+voiODjY0vGRjWFCSURERGKITlb79u2LhIQE1KhRA61bt8awYcPQqlUrVKtWTYr4yAAu\nLEBERES2TnSy2qNHD4SFhaFevXpSxEM2jgk2ERERiSE6WR06dCguXbqEL7/8Ejdu3IBSqUSdOnUw\ncOBABAUFSREjkUnS09PlDoGIiIgszF7sCQcOHED//v0hCAL69OmDPn36wM7ODh9++CEOHjwoRYxE\nJjl9+rTcIRAREZGFie5Z/emnnzB+/HgMHTpUY//q1avxyy+/oFOnTpaKzSZkZ2cjLi4OgYGBsLf/\n/78NeDmciIiIyDjRPavJyclo37691v727dvj5s2bFgnKlnTr1g0tWrTA4sWL5Q7FKnA2ACIiIhJD\ndLJar149/Pfff1r7IyIi4OXlZZGgbMnhw4cBAEuXLpU5EpLK/Pnz0bFjR2RnZ8sdChERkc0RPQxg\n7NixGDt2LGJjY+Hn5wcAiImJwb59+xAWFmbxAMm22OLwhwkTJgAAVq1ahU8++UTmaIiIiGyL6J7V\n9u3bY8WKFVAoFNiwYQO2bdsGQRCwfv16vPXWW1LESFZi27Ztcodg1dizSkREZHlmrWDVsmVLtGzZ\n0tKx2DRbGKvZt29fm3gfREREVHqYlKxOnjzZ5ALnzZtndjBEREREROpEDwPIzs7G9u3bce3aNTg5\nOcHFxQW3b9/Gzp07NaZmItKFPbNEREQkhkk9q+q9pZ999hnGjBmDMWPGaByzcuVKREZGWjY6G2aJ\npM3cm5UyMjJQuXLlYtdPREREJDXRXaFHjhxB9+7dtfZ37NgRZ8+etUhQJK2uXbvKHQIRERGRSUQn\nq3Xq1MHWrVs19gmCgHXr1qFhw4YWC4ykc+zYMdnqtsWpq4iIiEg6omcDmDp1KkaNGoX9+/erktOL\nFy8iJycHK1eutHiApB/HfxIREZGtE52sBgYGYv/+/di7dy+uX78OABg+fDi6desGFxcXiwdIRERE\nRGWXWfOsurm5YeDAgZaOpUwpq5fD2RtMREREYohOVu/cuYMff/wRcXFxyM/P10o+Dh06ZLHgbAmT\ntOfi4uLQvXt3TnNGREREJhGdrE6YMAGpqakYOHAgpz8i0aZNm4Znz54hNDRU7lCIiIioFBCdrJ4/\nfx7bt29H/fr1pYiHyoCwsDAmq0RERGQS0ddia9eujSdPnkgRCxERERGRBtE9qyNGjMC0adPwwQcf\nwNvbG+XLl9d4vXnz5hYLzpZwzCoRERGReGaNWQWAWbNmab1mZ2eHy5cvFz8qIjPt2LEDvXr1kqXu\nzMxMWeolIiKyZaKT1fj4eCniKPUEQcAff/yBgIAANGrUSOt1KaaqKqvTXxkSEhKCyMhIvPbaayVe\n97fffosZM2aUeL1ERES2zKRk9e7du6hZsybs7Oxw9+5dg8fWqlXLIoGVNtu2bcPgwYMB8JK/3OLi\n4mRJVhUKRYnXSUREZOtMSlY7dOiA48ePo3r16ujQoQPs7Ow0ErLC52V5GMDZs2flDoGIiIjI5piU\nrB46dAhubm6qxyQee1tLDodHEBER2Q6TklUvLy/V4wkTJqBt27Zo06aNzrGZRHJjskpERGQ7RN9g\n1atXLxw/fhyrVq1CuXLl0Lp1a7Rp0wbBwcFwdXWVIkYiIiIiKqNEJ6v9+/dH//79IQgCLl26hMjI\nSGzbtg2TJ0+Gr68vNm/eLEWcRCZjzyoREZHtEL2CFQAolUrExcXhzJkziI2NxZUrV1ChQgW4uLhY\nOj6bIfWY1ezsbEnLJyIiIpKD6J7VQYMG4cKFC3BxcYGfnx8CAgLw0UcfoVGjRrC3Nyv3JQuYPn06\nvv/+e7nDsArsWSUiIrIdorNLBwcH2NnZwdXVFR4eHvD09ISnpycTVSOkTqA4S8P/Y7JKRERkO0T3\nrK5atQr5+fm4ePEizpw5gx07dmDWrFmoUqUKAgMDMW/ePCniJCIiIqIyyKzuUAcHB/j5+aFdu3Zo\n06YNgoKCcP/+fZw8eVJUOQqFAlOmTEFgYCCCg4MRHh6u99gjR46gV69e8Pf3R48ePUpdTyLnWS05\n7FklIiKyHaJ7VtetW4fTp0/j7NmzyMrKQvPmzdG6dWt8+umnqFevnqiywsLCcOHCBaxZswZ3797F\nxIkTUatWLXTp0kXjuPj4eIwZMwYTJkzA66+/jmPHjuHTTz/Fli1b8PLLL4t9C5JgMmo9mKwSERHZ\nDtHJ6qZNmxAcHIx3330XAQEBqFChglkVZ2VlYfPmzVixYgUaN26Mxo0b4+rVq1i3bp1Wsvr333/j\ntddew+DBgwEA3t7e+Pfff7F3716rSVaJSqOFCxfiyZMnmD17ttyhEBER6SQ6Wd2xY4dFKo6Pj0d+\nfj78/f1V+wICArB06VIUFBRo3LDVu3dv5OXlaZWRnp5usA6lUgmlUmmReI0pKCjQqFdfPIaON+U8\ndUV7c8W8V3PbxVLtWbSchIQE1KlTx+w/ftQJgqBVvrE2tpSS+r5ZyhdffAHg+SwfYq+MqCup9i3L\n2MbSYvtKj20svdLWxqbGKTpZtZSUlBS4urpqJCc1atSAQqHA06dP4ebmptpf9Jfo1atXERkZiXff\nfddgHVeuXLFs0AY8fPhQ9TgmJkbr9ZycHI39iYmJqsdxcXEa/xalqzwAyMzMVD3OysrSe5yYMqU6\nz1A5Bw8exKRJkxAQEIBly5aZdP6jR49QvXp1nZf8ExMT9capr40txVLtU9LOnTtn9I8/U0jdvsQ2\nlhrbV3psY+nZWhvLlqxmZ2dr9aIVPs/NzdV73pMnTzB27Fi8+uqr6Nixo8E6fHx84OzsXPxgTeDh\n4aF63KxZM63XK1asqLH/8uXLqsdNmjRBXFwcmjRpgnLlymmdW6VKFY2EPTU1FVWqVEGlSpVU+5yd\nnXXWq48px167ds2s8wpt3LgRM2fOxJYtWwyW8+WXXwIAoqKiTCp/586d6NOnD95//32sXr1a6/Xa\ntWtrlVO4kIW+NrYUMe1jTXx8fNC0aVOzzy+p9r179y5iYmLQtWvXMjc2uaTauKxi+0qPbSy90tbG\nWVlZJnUsypasVqxYUSspLXzu6Oio85xHjx7hgw8+gCAI+Pnnn43O7VquXLkS+7DUY9FXp/p+Xcfr\ni/fOnTvw8fEBANy6dQt16tRBs2bNtBJxMe/VlGPffPNNs84r9P777wOAaqyxvnLUkw5Typ8zZw4A\n4I8//sDatWt1lm3oM5DyO1EafjjoYql2kbp969ati/z8fGzcuBHvvPOOZPVYs5L8uVYWsX2lxzaW\nXmlpY1NjlG0mf09PT6SmpiI/P1+1LyUlBY6OjjqXbX3w4AEGDhyI3Nxc/P777xrDBMqC8PBwtGnT\nRnWZvCQuN6sPVVCXn5+PlJQUk8sxthRsWeshUxcZGYl79+7JHUapUfjzYv/+/TJHQkREJUW2ZNXX\n1xcODg4aSVdUVBSaNGmi1WOalZWF4cOHw97eHn/88Qc8PT0tGkt2djYWL16MW7duWbRcdUUTsqLP\nN2/ejB9//FHnuYIgYNiwYTh27Bi+++471f4TJ05YPlATtGnTBh4eHrhw4YIs9RujL/kVBAFXrlzR\nuLlNTpGRkWjVqhVq1aoldyhERERWS7Zk1cnJCSEhIZg5cybOnz+PgwcPIjw8XHXJOCUlBTk5OQCA\nZcuWISkpCaGhoarXUlJSLHJDCABMnz4dY8aMwSuvvGLW+VevXsXPP/9s8BhD87BmZ2cjNDQU48eP\n19ljefz4cbPikkrh4g+6LsHrcvXqVYvWX/i90Edfsrpq1So0atQIn332mcHz1Xv7i7p+/Tri4+ON\nB2mCI0eOWKScsqgs98YTEZU1siWrADB58mQ0btwYQ4YMwaxZszB27Fh07twZABAcHIw9e/YAAPbt\n24ecnBy8/fbbCA4OVm1z5861SByFq2Gp310vho+Pj9FL3UWpJ6/9+vVTPdaViGVlZZkV188//4y6\ndesa7DHeuXMn+vfvj6dPn5pVR3HFx8fj8OHDos65dOmSWXUtWbIEAPDLL7/oPSY5ORlVqlTBRx99\npPWaUqlE/fr14evri4yMDLNisFalbVELJqtERGWHbDdYAc97V0NDQ1U9puoSEhJUj//555+SDKvE\n7du3r9hl6Eo2Pv30UwDP59DUp1evXgCAWrVq6R2GICVfX1+Ll1mcRObHH39ETk4Oli9frjWNlvoN\ngSkpKahcubLW+bm5uSbPFWtughgeHo7ly5djx44dFh8SQ0REZG1k7VmVk1KpxNq1a3Hjxo0SqzM5\nOVmWHqw7d+4YPYY3+TxX3M+nRo0akve6Dhs2DKdOncLkyZMlrceasWeViKjsKLPJ6ooVKzB48OBi\nrdpjyIMHD9CpUyfV86tXr+Kll17CtGnTsG3bNhw9etSi9Vn6l7epk/PbmuImq+np6arhK1Ir7pjt\n0nbpn4iIyqYym6xGRESYdV5qairGjh2Lo0ePGrwR56uvvlKNhVX37bffom/fvli6dKnO8xQKhcZq\nWID4ZVRTU1NNOtZQsjNq1Cij54eFhZk9nlZKJdHrZijRM3X+TyaLRERExpXZZNUcaWlp+PTTT7Fo\n0SK0bdvW4HjLx48fm1XHyy+/rDUOcf78+Saf7+DgADc3N8TGxho8bvHixRrz2Zq7NNvXX39t1nnW\nylACacuXngVBwOzZs0vN+HBb/iyIiEiTrDdYlQYFBQU4f/48PDw84OXlpfGaruVIi0tML6q6okmW\n+rKfN2/e1Dp+zJgxGs/Vl38V4+zZs2adJ6XiJDKlqbdT1zK25vrrr78wa9YsAKWjDZisEhGVHexZ\nNWLatGnw9/fXO7Z1/PjxOvfL0UMldvosS0pISLDIogrbt28XdbyuxKokktXff/8d/v7+xRp7bE1J\nob7VyoiIiORW5npW9+zZg3v37hlMaHbu3AkvLy8EBARg3rx5APRPRL9gwQKtfWlpaSW+SlJsbCyc\nnZ2LXc7t27dF9RgfOXIE+/btQ5cuXQAUPwHr06cPjh07hurVq2Pp0qWYOHEiatasqfd4Dw+PYtVn\nrsJeyLYSVaybAAAgAElEQVRt28pSvyVInSwXFBRorUZnKexZLX0yMjKQk5ODGjVqyB0KEZUyZS5Z\n7datGwDA399f5+txcXGquUfN/WVerVo184KzAv/73/9En1OYqALP5x91d3cvVgznz5/H+PHjkZWV\nhZiYGIMrPT169EhrX9FE5sGDB1izZo1JdZdkb2dJJFwXLlzAiRMnVMsVl5T4+Hi89tpr+OqrrzB1\n6tQSq5esl4uLCwRBQGpqaqn+GUlEJa/MDgN48OCBzv3r1q0r4UhKl+7duxt83cPDAxs3bixWHfv2\n7VPNMnDmzJlilQUAPXr0wMSJE006Vj1ZffjwoaTzz5ZEYtykSRN89NFH+P333wFAo8c/Ojpasnq/\n/PJLpKWlYdq0aZLVYQ2WLFmCDh06WGzpZ1tW+H0392ZOIiq7ymyyqk/RaaPKksJeZ0N2795t9BhT\nEsMnT57o7BUFgMjISNXjrKwsvPLKK4iPjzdaZqGiPZZiEl71BNLT0xO1atWSdSywpURFReHZs2fw\n9vbG8OHDAWguFmHpxFnqRNxahgGMHj0ahw8flmX1NyIiOWVlZWHjxo0mT5dZHGU2WbWWX3bWpKQm\nsweA6tWrmzxc4OLFi+jfv7/JZZvz2W7btg0vvfQSTp48qfXa/fv3zS7XUlavXo0//vijWGWsWbMG\nt2/fxm+//QZAM6Fksvrc+vXrERQUhKSkJFHnSb1qWWl34cIFuUMgIgsbO3Ys3nvvPfTs2VPyusrE\nmNWCggIcPnxYYzonU/DSnvWQ+tJh3759ATxfErekmJrQPXnyBB988AGA/4/T0vWXtj/epIp34MCB\nAJ5P7bZz505J6iiLik6VR0SlX+G9IMeOHZO8rjLRs7p69Wp06tQJTZs2Ve1T/0Wtfqf/9evXVY/V\nJ82n0mP37t1QKBTYtWuX3j846tevj61bt5ZwZJquXr1q0nGZmZmqx4ZWTSPLSUtLE3V8aUv2S5qU\nvfhEZPvKRLK6bds2AMDdu3dV+9R/uaiPh/zvv/9KLjAblZSUJMmCCb/88otJx0VERGDChAno2bMn\nQkJCdB5z/fp19OvXz5LhGZSUlIS8vDyNfWvXri2x+u3s7LQSKikTiKLzDOfn52sk3daOCRURkWEl\n+XOyTCSrurAnRFoNGjSweJnjxo3Ds2fPjB5nZ2eHlStXAgD+/fdfi8ch1uHDh+Ht7Y327dsXuyyp\nfjio31godvzlgwcPMHr0aCQkJOg95uWXX0blypVN+vxMIcf/X0EQ9N5sx58npmNbEdkGJqslgD0n\n1svQjAxFeyd1sbZfhsuXLwcAHD9+3KzzLfV+DJWjnoSJXfL3ww8/xLJly1TjPXUpHF6jPtODIQ8e\nPEBwcLDJ8+Namq6fDyEhIXB2dhZ985UpTp48KUm51og/e4lsA5NVomKws7NTzdMqN33Tc8lBfXqR\n3NxcvcMAjC0ecPz4cSxfvlx1zvnz5y0cKTB16lQcP34cQ4cO1fm6euKdl5eHK1euWLR+XT+EC2+4\nWrVqlUXrunjxIlq2bAlvb2+Lllto06ZNsiz/TGSNZs+ejdq1a6tmeaHSocwmq+pzTJJtKYnExRT7\n9u2Du7u71iIJI0aMwPjx4/We9+2336J79+46e5GLxiIIAjZv3mz0PScmJmokq3l5eXrfl7Ge3ODg\nYHz00Uc4dOiQweOKw9gNTuoxduvWDQ0bNiz2YhTqxH7mxen9NmUe4KVLl2LJkiV6X1cqlfj222+1\n7sq9ffs23nnnHXTt2tXs+IhsyYwZM5CYmIg5c+bIHQqJUCamriLboX6TnKVIdSnjm2++0dp38+ZN\n1XhadUePHsXDhw/Rt29f1fKk27dvNzq/7M6dO1XHGHofly9fNjiOWP3c06dPo0OHDgbrBZ7/UdCp\nUydR7acvqbt9+zZOnz6NkJAQ0cvCHjhwAAAwePBgvPvuu6LO1cfQe7L0MBNj7Zeeno6PP/4YgP4x\n2LVq1VINn1EvLyUlRfW4oKCgRJfcVcdL/8YplUqUK1dO7jA0nDp1ChkZGejYsaPcoVic+mp+ZP3K\nbM8qlU5SzIP6+PFji5cJ6P4F/fTpU53Htm3bFv369dOYzqpwHOn+/fv11qFrHKypicGsWbN0ntOx\nY0ekpKRoJDqF1Hs8i7uy16RJk7BgwQIAgLe3N/r27YvVq1ebXZ4p45lNpd4eN27cwOuvv656ritZ\nlXKctPrUevreoykr7xUuuWtJd+7cwahRozjpfzHNmTMHVatWtbp2fO2119CpUye9y5MTlRQmq1Sq\nWLqHxtvbG4mJiSYde/v2bVFl64pVPUE0pQ5BELBw4UK9x8+fP1/j+ejRo9GoUSOdY3bVE6qrV69q\n/GIs2svg4+MDDw8PrcUY1O/mL0yi1Mvdtm0bLl68qDfeQvHx8QgNDVUNhyisf9iwYXj99deNzidr\nqeRQ3x3+6p9dvXr1JJ3SztjVAvVYFAqF2fXs27dP72tJSUk4ffq0wfOvX7+OpUuXIjc3V7VvwIAB\nWLZsGfz8/MyOy9opFAq8+uqrqt5tKUyfPh2ZmZlo0qSJZHUUhy2O77S2G3HJMCarVKosXrzYouUl\nJSUhMDDQ4DH//PMP7OzsUL9+fVFl60pWz507Z/Ac9R+ggiBg4MCBonpblixZgvj4eGzatElj/9Wr\nVzXq/uGHHwzGWtgDXLQ3ztgfC/3798crr7yise/EiRNax6nPuVq0zP/++8/oDUGW6g1/77334Ozs\nrLEYiDGW7lk1NguAevv07NkTR48eNVrmnDlzsHjxYpNXKfP29kaLFi1w6dIlvcfUr18fH3/8scYf\nSIXfKUteUo2NjZXsaocuCxcuxAcffKD3PezatQvnzp3D0qVLSywmY9LT0zFv3jyTFxYxh6VXuCuc\nZaSgoAB79+7VeeXGlJh++OEHHD58uNjxlCbFvYplC5isUqmyd+/eEq9z9OjRos/x8vLSOaeosR/6\nRVfc2rBhg+i6Ad1JpfoNUYXjPE2hVCoxceJE/P333zrLNTbVVevWrVWP7ezscPHiRY2bhQ4ePKh1\njvqlb11MnT9XXw/t9OnTMXToUPz5558AoHXzktgxqxkZGUhPT1clD1lZWRo3tJ07dw7t2rXTOXXX\n7t27VY919WAVTaLat2+PtWvX6k2wjx8/junTp5u1xOnZs2eNHnPkyBHR5Zqa7Jw9exbNmjVDzZo1\nRddhri+++AKrV6/GjBkzdL4uZiq3EydO4H//+59JVxeK46uvvsKUKVM0VmW0NPX3MGrUqGKV9fTp\nU7zwwgsYNGgQ/vrrL/To0cOs2Pfu3Ysvv/zS4Jj6mJgYvP/++7h161YxIrYee/fuhbOzM7777ju5\nQzFbUlJSsf+gZbJKJIG7d+/i8uXLWvuNDTno2bOn6rG+X56mSExMNHjJWMxlvQ0bNiAsLAw9evTQ\n+fq9e/dMLuvOnTt45ZVXEB4ertpnzk1zppyzdetWVKhQAWvXrkVgYCBGjBihem3OnDkac7gWXQjB\n0A9WXYnXTz/9hDp16sDHxwcxMTGoVq0a3NzcVH98tG/fHhEREWjVqpXWueozk0ycOFHrdV2J8+DB\ng/X29EdEROiN3RLM6XEzdfhO4R9Rlhx/rEtcXBzs7Ozg4+Oj2qcvGRAz9Kh169a4ffu21tUFSyvs\nWTT2R11xqA9JiIyMLNYQrCVLluDRo0fYsGGD6o8dc4YWqP+Bpm9GE39/f6xbt87oCoWlZRjAhx9+\nCACYPHmyzJGYZ/369fD29saQIUOKVY7NJ6u8449KK103k4m5ecrf39/kugyVO23aNNXj4iYRU6ZM\n0don1S+Nfv36QRAEDB48GFFRUTpnYShU9OeEKZcoi06vVXjpevfu3ap2KrysbmwqrkJFe9YBiL65\nxdwpyQydqy42NlZUPGKo90abQqFQ4Pz58xpxJyYmGu1Va9asGQBIehldSsbGdEuhOMlq4QwnluTu\n7o5OnTrpfd3QkBZA2kTfkuT4rE2hPnYd0L/y4ezZswEAf/zxR7Hqs+lkNSIiAlWqVNG4zEZUmrm6\nupp8rK6eXX30/SL6/vvvNXqDr127pnHOkydPTK4D0P4BZy2Kvn9DPeCFf0ToS4iK80td19RSkyZN\nElWG+mckBfWFLkz9hW/qcUVvGCykUCh0tmvXrl3h5+enmkUiNzcXtWvXRp06dQzWaW4nhqFkumiZ\nUi5MYmoCk5qaiqZNm6oShuKwVMeP+ucoNhFTPzctLU1rOJCYRVh+++03k49NTU01GOtvv/2G5s2b\n2+SNaOr3FxS6dOkSnJycNPZ169ZN0jhsOln9/PPPrWYlIyKpFecykamJ7U8//aR6fOfOHdF16rpx\nRurL1qbQl2Dq2l94o40UPcJFk9V79+4ZnLoM0E4i1Kf/MiVxVp/xoejxa9aswRdffKHzF/WdO3dM\n+uNDoVCYtPBBUYW90WlpaahSpYrG2OdChZfDf/31VwCaPdOWWmlMPekdO3as3uOK3khoqUUz7ty5\nozVTgymf6y+//AI3NzfExcUVa0hRISmuUlq6x3XcuHEWLQ94Pt7Szc0NzZs313vM8OHDcfbsWZ1X\njoojIyNDVAL+5Zdfws/Pz2I3ZK1evRqVK1fWGtM/ffp0re+DlDOmADaerBKVJcUZgK/rZjBd1O/S\nz8zMFD2dly7q41eLa8eOHQYv9+sjCILOIQ6G7krXl6yqJxKvvfaa1t3+v/32G7KysnD8+HGtJLBo\nstqyZUujsRtKivQtqatu8+bNqsfq45zv3r2LoUOHYuHChfj555+1zmvYsKHG85MnTwJ4vvxuQECA\n6rty48YNo+9Bl169egF4/p3Ly8tDZGSk3t7Swvem/pl88sknouvUdSnzgw8+UD2OiorSe27R2Ozs\n7LBy5Ur88ssvxeptf/HFF9GiRQuNPyrU3+fJkyd1JuaWTtwslayqx64+K8mKFSvQoEGDYl0ZMHbp\n35yEauvWrQCe37hlTOH/AUsRe1Xlhx9+wMWLF7Fnzx6L1F/43Ve/yfj999/Htm3bLFK+GExWiciq\n3bp1C82bNzfYq1UoJCQEI0aMwJtvvim6Hl9fX43n06ZNM5hk6Euciiag3t7eGs+HDx+OSpUqITg4\nWKsnpuiyuabMAaxvrBigeSd74c0ps2fPxjfffIPTp0/jn3/+0UiQT506BeD5UIK+ffuq9uuao7Xo\n5cHCxLpXr16Ijo5WLfFqbg90YY970VkVxDp//jwWLVpk0l39hpJRc+odMWIExo0bh3nz5ok698KF\nC1o9arpmkgCet/uHH34oKhETBAE5OTlISkpC69atsWXLFqPniJkVwVTq342RI0fi2rVromdf0Tf1\nW3Z2ttb/DfXFPUwl5n1fvnwZCQkJouvQR9eiL6a4ffu2ZKvGrVu3TpJyjRJsUGZmpnD27FmhYcOG\nAgBu3LhJsA0ePFjo2rWrbPUXEnPOnDlzhPHjx2vt1/c+Hj58qLfufv366XzNy8vLIu/LlPeWnZ0t\nbNu2Te/rkZGRqsfNmjUTUlNTTaq/SpUqGvveeOMNrWP0nevi4qLxPCEhQeOYiIgIvT+7dZXn4OCg\n8X50HR8QECAIgiA8efJEb5zLli0z2q7ff/+9kJ+frzeml19+WW/sBw4c0FtuuXLl9J5XtI4BAwYY\njd/b21urjqpVqwpjxowRrl69qrctFQqF8O6776r2+fn56fze6Tr/2bNnBt+Dqe9PfStfvrzWMe3b\nt9dbzk8//WTw/0zTpk019s+cOdNgHKYICwszerx6mb/99pve4/Lz84WZM2cKR44cUe1buXKl0Llz\nZyEtLU3rePXPx1i8BQUFGscOGTLE+JszomjdReswpT1ffvllg68X5muZmZkGY2HPKhGZRZB5vfct\nW7agVq1aos6ZNm0avv/+e6395szfq683Sn0qKqkZG2us3vuZnZ1t0mwOSqVSa1aC4vSqFe1ZFQQB\n+fn5+O+//0waW6feUz1ixAisXr0aSUlJ6N69u2q/KcvNmtMraylKpRLNmjVDdHS01mtFe+jXr1+v\nenzs2DHV4/T0dJ2zRRRKS0vDokWL0KBBA71jiVetWoWNGzeqnqvP7HDhwgUsWrRI75R3UoxZzcvL\nw7Rp0zTelyXHgl+9ehWrVq3SumJhTGRkpEbbFyoc0pKYmIi5c+fqvMHUUPy///47Zs6ciXbt2qn2\nDR8+HPv379f5c0mMotP5FU7Nd/z4cYvdZG7Od8Bin2dxsm5rxZ5Vbty4WWK7f/++zv2nTp2SrE51\nxo6Njo4Wtm7dqvf1oj8Df/75Z6NlJiYmau2rWbOmVoz6Yi/aszpv3jyNY44cOSJ06dJFACB069ZN\nEITnPTa6yjSlDdSPffz4sd7zR40aJQjC894tfWXMnz9f1bN6/fp1Yc6cOVrH3LlzR+fvnf379xuN\nsWbNmlrnbd++Xe/xrq6uWvtyc3OF2rVrG6xHV2+7IAjCt99+azTGWbNm6Wz3J0+emPw7uPD/x9q1\na036DNu1a6d63KFDB42yMjIyhAcPHgiCIGj0Oqtvhb2+RXtWjX2X1HvzCgoKhBkzZgh//vmn6vXT\np08LoaGhWuXY29sLAITevXtr9TYa6lmdNGmSRjnqMY0dO1YQBEGjnYv2rG7fvl1v2brec9HY4uLi\njH94esoUBEHIyckx+n+wKF9fX4Ovs2eViKiYXnjhBZ37W7RoIVmdhw4d0uj9MkQw0rtddPycKTfd\n6JoTVuxcr4UuXbqkNWOEnZ2d6uar3bt3Y8iQIfD39zdr+c2iDPX8FN4UsnPnTr3HqLdnQECAxhzD\nhby8vPDGG29otZOxzwKAzp44Q+fp6tE2Zbo4fdMsmdLLpW85XzG9aoX/PwYNGmTStGWGVkXz8PCA\np6cnUlJSNHqd1c2aNQtLly7F+fPnTY4R0JzqateuXfjmm2/wzjvvqPYFBQVpjRVevny5qi0OHz6M\nr776SuN1Q5+nrrmz1c+bOnUq3NzcNG56VNe7d2/9b0YH9fcCaC70oC4zMxOHDx82OD1XQUEB/Pz8\nRNUPmPb/wtSCbA57Vrlx41bat2vXrhk9Zv369UK3bt0sWm90dLTRYwRBd09OSkqKRs+qri0iIkLn\n/hdeeEFr37lz50yOWxAErTHGReMUBEEICgrSW8Z3332n6lk1Vt9XX32l8Xtn3759Rs9xdHTU+n01\nd+5cUZ/PvXv3jPasrly5Uuf+Jk2amFSHUqnU2TamUj9PV++0oa1jx446y9q9e7eockz5ziYlJanq\nWbBggUnllC9fXvXY3d1d6/UVK1bobJNnz55pHJeamqoR0+jRo1WPPT099X4HTWlzQ1tERITg7+8v\nDBgwQMjKyhIEQRA6duyoej02NlZnmbdv3zZaduEVEnXGxqwmJiayZ5WIqLQyZYLxAQMGWHzRk1df\nfdXsc93d3Y1Ogybo6WnR9X7FrsJWOJtBIV29tYbGfQLPe7+GDh1qtL5z585p9Hzqe1/GmDPXqLEe\nUn131KtPf2WIrnHXRadRSk5O1pqUXxexvZ3q7ajee61rwYzisrOzgyAIyM3NNfnzU+99dHBw0Hpd\nXzlFrzC4urpqjKNWP0/KlTdff/11nDt3DuvXr8cvv/wCQHP6O/VZQNSZMqe2rp5ZY3Mxjxw50mi5\nAKeuIiKySvoux5Z26jeXWFL37t3Ro0cPjX0eHh5axxlKSgRBwPvvv6+6OcWQgwcPqqbnAkxLMApv\nXjpy5IjWDTGWpO8mKVMZSwxbtGiBl156CR07dtSb3BTatGmT2XEEBQWZHJM57O3tMXjwYFSrVs3k\n1afUvz+6zlm7di369u2rNUxE19yn6n8Yqk+8LwhCsT9DU+i6MVHfH5tr1641Wl7RYSs7duzQmGdZ\n11y1xpZGVjHY71pKcRgAN27cSvtWoUIF2WPQt928eVP2GMzZBEEQGjRooPf1efPm6bypydB29OhR\nQRBMvwyrPsWVmPNKsu137Nihc//9+/eFjRs36mxXdcWpW/0GK33tZu5nX3RfmzZtVI+rVatm0Tac\nOXOmkJOTI+zYsUNIS0vTuknR0FapUiVh9uzZet+HLubEOH78eK1zC4cgmFNm0Uv5psTfsGFDk4YB\naPdhExGR7ExZylQuxlYKsmZXr17V+1pBQYHGIgSmaNOmjUmXwwsdOHBA9diU3qqimjZtKvocsQpX\nDytK3w2H06dPh7+/P/r06VPsxQMEPT3fs2bNKla5Fy9e1NqnfvXi6dOnxSq/qPv372Pq1KlYsGAB\n2rZtK2rp98zMTFGLPBRdoKM4CoeYXLhwQfS5pnz2z549g4uLi+iy2bPKjRs3btzKxCYIhnuL3n77\nbbPK7du3r+zvzRo2QdC+kUjspr4ogCVjmzJliuztI2br1KmTwTZeuHChsGvXLuHvv/8u9mem/rxm\nzZpGJ//Xtz18+FAjF9N33MmTJ4XU1FQhKCjI5J5VJqvcuHHjxq1MbJcuXZI9BlveBEEQPv7442KX\n8+jRI+Hp06cWja1Zs2ayt4+YrV69ejr3G5on2Jyt6NypNWvWFNauXWtWWV5eXsKhQ4dUuZihYwu/\nJxwGQEREpGbXrl1yh2DTnj17hl9//bXY5bRu3RohISEWiOj/6bq5x5pdv35d5/4///zTovU4Ojpq\nPL937x4GDRpkVll37txBx44dTZpZQez3hLMBEBFRmTBx4kS5Q7Bppiw6YYqEhARs377dImXZmhkz\nZsgdglHGpq8zB5NVIiIiKjZTpvwy1ZUrVyxWli3R1+NqTapWrWrxnmwmq0RERERkMWIW9DCFrMmq\nQqHAlClTEBgYiODgYISHh+s99tKlS3j77bfh5+eHvn37mjWtAhERERGVLrImq2FhYbhw4QLWrFmD\nr7/+GosWLcI///yjdVxWVhZGjhyJwMBAbNu2Df7+/vjoo49EzVtGRERERKWPbMlqVlYWNm/ejKlT\np6Jx48Z44403MHz4cKxbt07r2D179qBixYqYMGEC6tWrh6lTp6JSpUo6E1siIiKisqg4y9uKYdbE\n/sUgW7IaHx+P/Px8jXENAQEBiI2N1VpjOTY2FgEBAaqVFezs7PDqq6+WuqkoiIiIiKSib/UxSwsP\nD8fw4cNLpC5AxmQ1JSUFrq6uqFChgmpfjRo1oFAotJY9S0lJgYeHh8a+6tWr4/79+yUSKxERUWlj\niTlPp06dWuwy/Pz89C7VCgAtW7bE+PHji11PUFBQscvQp23btpKVbSkrV65EXFwc6tatK2k906ZN\ng7e3N95//31J61En26IA2dnZGokqANXzomti6zvWmtfOJtPZ2dkZnUS4Xr168PHxwT///KM6tmbN\nmggKCsKOHTtQvnx55OXlYcSIEVixYgVefPFF3L59G66urnBwcIBSqcSTJ09U5bVt2xb//fef6jgA\nqjKqVq2KvLw8ZGVloX///mjUqBHWr18Pf39//Pnnn/Dx8cGVK1fQpUsXnDt3Di+99BLOnDkDAFi2\nbBk2b96MgwcPqupyd3eHh4cHAgMDcf36dbz44ovYuHEjgOdTfKSlpQEAevfujYyMDFy4cAFdu3bF\ngQMHkJycDABo1KgR+vbti7179yIrKwv3799HSEgI/vzzT0yZMgUKhQJvvPEGBgwYgHfeeQfdu3dH\nfHw8li9fjmHDhuHixYs4duwYZs2aBWdnZwwbNgwAMGrUKGzatAmurq4oKChA79694ePjg4iICDx9\n+hSpqalITk5G8+bN8dJLLyE9PR03btzA6NGjMXXqVMTGxuLJkyeIiIjAgAEDMH78eHz++ecAgI0b\nNyImJgYDBgzA1KlTMWjQINSqVQvp6en466+/UKNGDbz++uvo3Lkz+vfvj2fPnkEQBLRu3Ro//vgj\nvvvuO0RFRWHgwIFIT0/Hxo0bMXz4cNy/fx9nzpxB1apV0aZNG+Tl5UEQBGzatAn5+fkICQnB6dOn\n4ezsjC5dumD37t1ITExEr169cOrUKURFRWHixIkoKCjA/fv3ERQUhHXr1kGhUGDv3r04dOgQ7ty5\ng40bN2LDhg3o1KkTevfujWrVquHhw4c4fvw4mjVrhhMnTuCtt97CxYsX8fDhQ0yYMAFubm7Yvn07\nateujWvXrsHNzQ2nTp1CzZo10aFDB6xatQotWrSAv78/srOz8eeff2LYsGE4c+YMfHx8cPbsWfz9\n999o3749oqOjERsbi4YNG2LAgAHw9PTE1q1b0bVrV/j7++O3335DcnIyqlevjkaNGqkm4w4PD0fj\nxo0RGxuLS5cuoWfPnvD394enpydOnDiBjIwMtG3bFvn5+Rg9ejS+/vpr1K1bF7dv34ZCocCkSZMw\nbtw4lC9fHjt27MALL7yAgoIC7Nu3D/369cPTp09RpUoV7N27Fz/88AOysrJw9uxZ9OjRA8eOHUN6\nerrqKlnVqlVRrVo11KlTB5cuXcK5c+fg7u6O8uXLIzAwENnZ2bCzs4ODgwPc3Nxw584d+Pv749y5\nc1iyZAmGDBmC1NRU+Pv7w8XFBRUqVFDFGRoaismTJ8PR0RH379+Hm5sbCgoKkJmZiebNmyMmJgZH\njx7F+fPn0a1bN9jb28POzk7V0dG4cWMolUpERkZi0KBBiI6Oxt69e5GZmYk333wT7u7uuHnzJv79\n91988cUXqFu3LgRBQE5ODtLT05GZmYn9+/fjxo0bqFOnDq5fv47g4GB07twZW7duxbNnzzBgwADc\nvn0bd+7cgZOTEx4+fIhWrVohOzsbnp6eqmmInj59Cj8/P9y7dw8pKSl48cUX8cILL8DZ2Rm5ubm4\ndesWateujStXrqB69eq4ePEiWrdujQcPHiA/Px8eHh7YuXMn3nnnHdy/fx/Hjh3Dq6++ioYNG2LY\nsGE4ePAgAgICkJycjJo1a6Jq1aqwt7fHlStX0KhRI9y4cQNr1qzBl19+iaSkJLz00ktwcXGBnZ0d\n7OzsMGTIEOzevRuDBw+GUqnEkSNH0Lt3b9y9excKhQIPHjxAbm4ulEolzp8/j3r16kGhUKBGjRrI\nyIvsvIoAABLDSURBVMjAm2++ifLlyyMtLQ1HjhxBhw4dkJ6ejuzsbNSrV0/1s3LKlCkAgEWLFqFe\nvXqoXLkyOnbsiKNHj+LWrVto27Yt6tWrBwcHB2RkZODy5csIDAxEUlIS0tPT8corryAxMRFOTk5w\nd3dHdHQ0MjMz0aBBA5w5cwatWrWCnZ0dUlJSUKVKFVSrVg2VKlVCRkYGHBwcoFAoULVqVWRkZECh\nUKBatWq4fv06PDw84OLigjVr1uDy5csYMmQIXF1d8eDBA3h6eqJKlSooX748bt68icTERLRt2xZO\nTk7YuXMnIiIi0K5dO9jb26Nr167IycmBk5MTnj17hlOnTqFp06bIzMxEpUqVcO7cOTg4OMDV1RXV\nqlWDo6MjlEol7t27h6CgIJw8eVL1O7Nly5Z49OgRYmNj0apVKzg6OsLe3h5KpRIbN26Ei4sLUlNT\n4ejoiFq1aqFSpUrYsGEDPDw84OHhAScnJ1y7dg1169aFj48Pypcvj0OHDiEnJwc1atTAK6+8gmvX\nrsHFxQX169dHTEwMMjIyUKtWLY1kOC0tDTk5OThw4ADq16+vuloeHx+PzMxM1KxZE0+fPoWHhwc8\nPT1x7do15OXlwd3dHZUrV8aJEydMyxMEU5YakMDevXsxZ84cHD9+XLXv+vXreOutt3Dq1ClUq1ZN\ntX/kyJHw8fHR+Mtr/vz5uH79OpYuXapVdlZWFi5fvgxfX184OztL+0YsQKlUIiYmBs2aNUO5cuXk\nDscmsY2lxfaVHttYWmxf6bGNpVfa2tjUfE22YQCenp5ITU1Ffn6+al9KSgocHR21Bu56enri0aNH\nGvsePXqkNTSAiIiIiGyLbMmqr68vHBwcNG6SioqKQpMmTWBvrxmWn58fzp07p7r8KwgCoqOj4efn\nV6IxExEREVHJki1ZdXJyQkhICGbOnInz58/j4MGDCA8Px+DBgwE872XNyckBAHTp0gXPnj3D3Llz\nce3aNcydOxfZ2dno2rWrXOETERERUQmQdVGAyZMno3HjxhgyZAhmzZqFsWPHonPnzgCA4OBg7Nmz\nBwBQuXJlLFu2DFFRUejTpw9iY2OxfPnyUjEelYiIiIjMJ9tsAMDz3tXQ0FCEhoZqvZaQkKDxvGnT\npti+fXtJhUZEREREVkDWnlUiIiIiIkOYrBIRERGR1ZJ1GIBUCpdrzc7OljkS0yiVSgDP5xsrDfOi\nlUZsY2mxfaXHNpYW21d6bGPplbY2LszTCvM2fWRbFEBKjx8/xq1bt+QOg4iIiIiMqF27NqpXr673\ndZtMVvPz85GWloaKFStqzdlKRERERPIrKChQLXPr4KD/Yr9NJqtEREREZBvY7UhEREREVovJKhER\nERFZLSarMnvw4AHGjRuHoKAgtGnTBvPmzYNCoZA7LJs0cuRITJo0Se4wbE5ubi5mzZqF5s2bo1Wr\nVvjhhx/A0UWWc+/ePXz00Ud49dVX0aFDB6xevVrukGxGbm4uunfvjlOnTqn2JScnY+jQoWjWrBne\neustHDt2TMYISz9dbRwTE4N3330X/v7+ePPNN7F582YZIyzddLVvofT0dLRp0wbbtm2TITLLYrIq\nI0EQMG7cOGRnZ2PdunVYuHAhDh8+jB9//FHu0GzO7t27ERERIXcYNmnOnDk4ceIEfvvtNyxYsACb\nNm3Cn3/+KXdYNuOzzz6Ds7Mztm3bhilTpuDHH3/EgQMH5A6r1FMoFPjiiy9w9epV1T5BEDB69GjU\nqFEDW7duRa9evTBmzBjcvXtXxkhLL11tnJKSghEjRiAoKAjbt2/HuHHjMHv2bBw5ckS+QEspXe2r\nbv78+Xj48GEJRyUNJqsyunHjBmJiYjBv3jw0aNAAgYGBGDduHP7++2+5Q7MpT58+RVhYGJo0aSJ3\nKDbn6dOn2Lp1K2bPno2mTZuiZcuW+PDDDxEbGyt3aDYhLS0NMTEx+Pjjj1G7dm106tQJbdq0QWRk\npNyhlWrXrl1D//79kZSUpLH/5MmTSE5OxjfffIN69erho48+QrNmzbB161aZIi299LXxwYMHUaNG\nDXzxxReoXbs2unXrhpCQEOzatUumSEsnfe1b6OzZszh58iTc3d1LODJpMFmVkbu7O1auXIkaNWpo\n7M/IyJApItsUGhqKXr16oX79+nKHYnOioqJQuXJlBAUFqfaNHDkS8+bNkzEq2+Ho6AgnJyds27YN\neXl5uHHjBqKjo+Hr6yt3aKXa6dOn0aJFC60rALGxsWjUqBGcnZ1V+wICAhATE1PSIZZ6+tq4cLhb\nUfy9J46+9gWeDw2YPn06ZsyYgQoVKsgQneXZ5ApWpYWLiwvatGmjel5QUIA//vgDr732moxR2ZbI\nyEicPXsWu3btwsyZM+UOx+YkJyfDy8sLf/31F5YuXYq8vDz06dMHH3/8Mec4toCKFStixowZmD17\nNn7//XcolUr06dMHb7/9ttyhlWoDBgzQuT8lJQUeHh4a+6pXr4779++XRFg2RV8bv/jii3jxxRdV\nzx8/fozdu3dj7NixJRWaTdDXvgCwdOlSNGrUCMHBwSUYkbSYrFqR+fPn49KlS9iyZYvcodgEhUKB\nr7/+GjNmzICjo6Pc4dikrKwsJCYmYuPGjZg3bx5SUlIwY8YMODk54cMPP5Q7PJtw/fp1tG/fHh98\n8AGuXr2K2bNno2XLlujZs6fcodmc7OxsrZ6oChUqIDc3V6aIbFtOTg7Gjh2LGjVq4J133pE7HJtw\n7do1bNy4ETt37pQ7FItismol5s+fjzVr1mDhwoXw8fGROxybsGjRIrzyyisavddkWQ4ODsjIyMCC\nBQvg5eUFALh79y42bNjAZNUCIiMjsWXLFkRERMDR0RFNmjTBgwcP8OuvvzJZlUDFihXx9OlTjX25\nubn8Y1cCmZmZ+OSTT3Dr1i2sX78eTk5OcodU6gmCgGnTpmHcuHFawwtLOyarVmD27NnYsGED5s+f\njzfffFPucGzG7t278ejRI/j7+wOAqndk3759OHfunJyh2Qx3d3dUrFhRlagCQJ06dXDv3j0Zo7Id\nFy5cgLe3t0ay1KhRIyxdulTGqGyXp6cnrl27prHv0aNHWkMDqHgyMjIwfPhwJCUlYc2aNahdu7bc\nIdmEu3fv4ty5c0hISEBoaCiA51cLvv76a+zZswcrV66UOULzMVmV2aJFi7Bx40b88MMP6NKli9zh\n2JS1a9ciPz9f9fz7778HAIwfP16ukGyOn58fFAoFbt68iTp16gB4PsuFevJK5vPw8EBiYiJyc3NV\nl6dv3LihMeaPLMfPzw/Lly9HTk6O6g+EqKgoBAQEyByZ7SgoKMCYMWNw+/ZtrF27FvXq1ZM7JJvh\n6emJ/fv3a+wbNGgQBg0aVOqvxPAOCBldv34dS5YswYgRIxAQEICUlBTVRsXn5eUFb29v1VapUiVU\nqlQJ3t7ecodmM+rWrYt27dph8uTJiI+Px9GjR7F8+XK89957codmEzp06IDy5ctj2rRpuHnzJv79\n918sXboUgwYNkjs0mxQUFISaNWti8uTJuHr1KpYvX47z58+jX79+codmM7Zs2YJTp05hzpw5cHFx\nUf3OKzr8gsRzcHDQ+J3n7e0NBwcHVK9eHZ6ennKHVyzsWZXRoUOHoFQq8euvv+LXX3/VeC0hIUGm\nqIjE+f777zF79my89957cHJywsCBA5lMWUiVKlWwevVqzJ07F/369YObmxs+/vhj3owikXLlymHJ\nkiWYOnUq+vTpA29vbyxevBi1atX6v/buLCSq/o/j+HseW2lT26ikHLQsy1ZtkQxt6MaY1CjBVqPF\ngiJvRIM2Ui/SFkKNFqOwoGVCwhYtC9soMitotWgmiummSFMqsdKeiz8enMzHoX/hPD2fFwjH3znn\n6/d3LoYP5/yO096t/THOnz9PY2MjSUlJLuMTJ07k8OHD7dSVeDrTN30vooiIiIh4KC0DEBERERGP\npbAqIiIiIh5LYVVEREREPJbCqoiIiIh4LIVVEREREfFYCqsiIiIi4rEUVkVERETEYymsioiIiIjH\nUlgVEfmFnE4nQUFBOJ3Onzo/LS2NtLS0fzxmx44d2Gw2AIKCgrh169ZP/a1fqbq6mri4OOrr69u7\nFRH5wyisioj8QgMGDOD69esMGDDgt9R3OByUlpYSFxf3W+r/LB8fH6Kioti3b197tyIifxiFVRGR\nX8jLy4u+ffvi5eX1W+rv37+fuLg4OnTo8Fvq/z8SEhIoKCjg06dP7d2KiPxBFFZF5D+t6bH96dOn\niYiIIDQ0lIyMDL5+/WocU1paSnR0NGPGjGHOnDmUl5cb+xYuXEh6ejoWi4XIyEiePn3qsgygpqaG\nDRs2EB4ezoQJE0hJSaGmpsY4v6KigtjYWEaPHs3atWupq6trtdfa2lrOnTuHxWJxGa+oqMBqtRIS\nEsKCBQt4/fq1sc9ut7N06VLGjx9PREQEubm5NDY2ApCTk8PChQtdak2fPp3CwsIfzu3Dhw8UFBQQ\nFRVFSEgIs2fPpqKiwji3b9+++Pv7c/r0abevv4hIWxRWRUSA3Nxcdu7cSW5uLhcuXCAnJweAyspK\nUlNTWbVqFUVFRcyaNYvly5fz8uVL49zCwkKys7PJzc2lW7duLnVXr17NkydP2LNnDwcPHsRutxtr\nUquqqkhKSiI8PJxTp04RGBhISUlJqz2Wl5fj7e1NQECAy7jNZmP9+vWcPHmSmpoatm3bZtSfN28e\n/fr1w2azsWnTJo4cOUJBQYHb16X53F69ekVWVhabNm2iuLiY0NBQkpOTjfALEB4ezrVr19yuLyLS\nFs97jiQi0g5SUlIIDQ0FYO3atWzbto3k5GQOHDhAfHw8VqsVgEWLFnH79m2OHj1qhM7IyEjGjx8P\n4PJiVWVlJeXl5ZSUlGA2mwHIzs4mOjoah8PBzZs38fX1JSUlBZPJxJo1a7hy5UqrPT5+/LhFUAVY\ntWoVkyZNAmDOnDkcO3YMgDNnztC1a1fS09Pp0KEDAQEBvH37lry8PBITE926Ls3nVlpaislkYuDA\ngfj5+ZGcnExUVBSNjY389df/7n0EBgbqzqqI/FIKqyIiYAQygFGjRlFVVUV1dTV2u53i4mKOHz9u\n7P/y5QtTp041fh80aNAPazocDnr27GkEVYCAgAB69eqFw+Hg+fPnDB8+HJPJZOwPCQlpdSlAVVUV\nPj4+LcYHDx5sbPfo0cN4I99utzNy5EiX9a3jxo3j7du31NbWtnotmms+t6lTpzJs2DCsVivBwcFY\nLBbmzp3rUt/b25t37965VVtExB0KqyIiQMeOHY3tpsfaJpOJhoYGli9fTmxsrMvxXbp0MbY7d+78\nw5qdOnX64XhDQwMNDQ0AfPv2rUUfrYXVpn6+13RX83s/6qtpbg0NDS4huUnztbrf1+jatSs2m43y\n8nLKysooLCzk6NGjFBYW0r9/f6N+a/2IiPwMfaKIiABPnjwxth8+fEi/fv3w8fHBbDbjdDoZMmSI\n8XP8+HGuXr3aZk2z2UxtbS0Oh8MYe/78OR8+fMBsNjN06FAeP37sEkCb9/G93r178/79e7fnZDab\nefToEV++fDHG7t27h6+vL97e3nTs2JGPHz8a+z5+/EhVVVWr9e7du8fevXuZPHky69ato6SkhPr6\neu7cuWMcU11dTZ8+fdzuUUSkLQqrIiJAZmYmDx484MaNG+zatYv58+cDkJiYyLlz5ygoKODVq1cc\nOnSIQ4cO4e/v32bNgIAApk2bRmpqKvfv3+f+/fukpqYSFhbGsGHDmDlzJnV1dWRmZuJwOMjPz3cJ\nft8LDg7m2bNnbs/JarXy+fNnNm7ciN1u5+LFi+Tk5JCQkIDJZCIkJITKykqKi4t58eIFGzdu/Me7\nol26dCEvLw+bzYbT6eTs2bN8+vSJoKAg45inT58SHBzsdo8iIm3RMgARESA6OpqkpCQaGxtJSEhg\nxYoVAIwdO5asrCxycnLIyspi8ODBbN++nbCwMLfqbt26lYyMDBITE/Hy8sJisbBu3ToAevXqRX5+\nPps3byYmJoawsDBiYmJaLA1oMmnSJGpra3nx4oXLOtjWdO/enfz8fDIzM4mNjcXX15fFixeTlJQE\nwJQpU0hMTDRC6pIlS3jz5k2r9UaMGEFmZia7d+9my5YtDBw4kOzsbJeXvu7evUt8fLxb10ZExB2m\nb619KoqI/Ac4nU4sFguXLl3Cz8+vvdtpU1paGn5+fqxevbq9W2nB6XQye/ZsysrKWvwLLxGRn6Vl\nACIi/yLLli2jqKjIZR2qpzhx4gQJCQkKqiLySymsioj8iwQGBjJjxgzjW6Y8RXV1NZcvX2blypXt\n3YqI/GG0DEBEREREPJburIqIiIiIx1JYFRERERGPpbAqIiIiIh5LYVVEREREPJbCqoiIiIh4LIVV\nEREREfFYCqsiIiIi4rEUVkVERETEY/0No2PV1h0k5k4AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ls = LombScargle(data.t, data.mag, data.magerr)\n", "freq, power = ls.autopower(minimum_frequency=0, maximum_frequency=35)\n", "\n", "period_days = 1. / freq\n", "period_hours = 24. / freq\n", "\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.plot(period_hours, power, '-k', rasterized=True)\n", "\n", "ax.set(xlim=(1, 15),\n", " xlabel='period (hours)',\n", " ylabel='window power');" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "9.30184494756\n" ] } ], "source": [ "fmax = freq[np.argmax(power)]\n", "print(fmax)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA04AAAIbCAYAAADclM5xAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, figsize=(10, 6), sharex=True, sharey=True)\n", "ax[0].plot(freqW, powerW, '-k', rasterized=True)\n", "\n", "ax[1].plot(freq, power, '-k', rasterized=True)\n", "\n", "\n", "ax[0].set(ylabel='Lomb-Scargle power',\n", " title='Window Power Spectrum')\n", "ax[1].set(xlabel='frequency (days$^{-1}$)',\n", " ylabel='Lomb-Scargle power',\n", " title='Light Curve Power Spectrum',\n", " xlim=(-0.1, 25),\n", " ylim=(0, 1))\n", "\n", "inset = [fig.add_axes([0.57, 0.685, 0.30, 0.18]),\n", " fig.add_axes([0.57, 0.27, 0.30, 0.18])]\n", "\n", "inset[0].plot(freqW * 365, powerW, '-k')\n", "inset[1].plot((freq - fmax) * 365, power, '-k')\n", "\n", "inset[0].set(xlabel='frequency (years$^{-1}$)',\n", " xlim=(0, 5), ylim=(0, 1))\n", "inset[0].yaxis.set_major_locator(plt.MultipleLocator(0.25))\n", "inset[1].set(xlabel='frequency - $f_{max}$ (years$^{-1}$)',\n", " xlim=(-2.5, 2.5), ylim=(0, 1));\n", "inset[1].yaxis.set_major_locator(plt.MultipleLocator(0.25))\n", "\n", "fig.savefig('fig15_LINEAR_window_effect.pdf')" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3.5", "language": "python", "name": "python3.5" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }