{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Use case: Crystal gel data\n", "\n", "Experimental data from a crystallizing gel. See Tsurusawa, Nature Materials (2017) doi:10.1038/nmat4945\n", "\n", "All distances are in pixels. Particle radius is 5.737px and they interact within 12.5 px." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "from scipy.spatial import cKDTree as KDTree\n", "import boo\n", "#from boo import boo\n", "from matplotlib import pyplot as plt\n", "from matplotlib import ticker\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prepare input\n", "\n", "load coordinates" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(28082, 3)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pos = np.loadtxt('AR-Res06A_scan2_t890.xyz', skiprows=1)\n", "pos.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Construct the bond network. Here we know that particles interact when they are within 12.5 px from each other. We thus use a maximum distance criteria. The use of a KDTree spatial indexing allows fast spatial queries to rerieve all particle pairs within 12.5 px of each other." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(110120, 2)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "maxbondlength = 12.5\n", "#spatial indexing\n", "tree = KDTree(pos, 12)\n", "#query\n", "bonds = tree.query_pairs(maxbondlength, output_type='ndarray')\n", "bonds.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Particles that are closer than 12.5 px to any edge of the experimental window are probably missing some neighbours. Also the bond order parameter is difficult to define for gas particles (3 neighbours or less)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "inside = np.min((pos - pos.min(0) > maxbondlength) & (pos.max() - pos > maxbondlength), -1)\n", "#number of neighbours per particle\n", "Nngb = np.zeros(len(pos), int)\n", "np.add.at(Nngb, bonds.ravel(), 1)\n", "inside[Nngb<4] = False" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display a thin slice \n", "\n", "*This is really a quick but dirtyc way of showing the data in real space. Do not use this for a publication.*" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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X51p0w9vCXNQUzWqBcN8H/BrQ2oBQXzKNLVafdvNMF6joI83CNWzzl6jfIGkT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\nHtwFAJlR+SJPLRcO5BueXL1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FwCSAP5RSbvMdkI3o46Pp6YTTkts3XrEYT/7TUUCIhIsx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\n9tpMg/24cj0o8QngIxAKawBCZuOafixfONvr2bcKPLdJqRQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "z0 = 100\n", "sl = (pos[:,-1] > z0 - maxbondlength / 2) & (pos[:,-1] < z0 + maxbondlength / 2)\n", "markersize = 7\n", "plt.scatter(pos[sl,0], pos[sl,1], s=markersize, marker='o')\n", "\n", "plt.xlim(0,512)\n", "plt.ylim(0,512)\n", "plt.axes().set_aspect('equal', 'box')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## tensorial bond orientational order\n", "\n", "We focus on 6-fold and 4-fold orientational order" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "q6m = boo.bonds2qlm(pos, bonds, l=6)\n", "q4m = boo.bonds2qlm(pos, bonds, l=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These can be coarse grained" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "Q6m, inside2 = boo.coarsegrain_qlm(q6m, bonds, inside)\n", "Q4m, inside2 = boo.coarsegrain_qlm(q4m, bonds, inside)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Crystals\n", "\n", "We identify crystal particles as having at least 7 crystalline bonds (default value)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.50523466989530663" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xpos = boo.x_particles(q6m, bonds)\n", "xpos.mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can lower the threshold in the number of crystalline bonds to catch the surface of the crystal" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.33074567338508654" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "surf = boo.x_particles(q6m, bonds, nb_thr=2) & np.bitwise_not(xpos)\n", "surf.mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display a thin slice with colors that depend on the local structure around each particle" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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lu8ZN8SYSeoL+Qj8JPcHGfRtdazIpPglwZytAgS0kp1f1kqtRi6AKkVVpW6umw6kIVGEF\nUBW8oWYVQ7mL7rIORYPsL75AB5g8C7MuNF8UFfEvxfppGunK9bP+4s8hGszNlxvI2TfHqr0vC/wJ\nK/6Z/QFYe09gcVAOyCYTZEqUadUGniZcJC8qvXIzXZd0sX7vetsy6rpOAw3ouh6arbAspwdb6Hke\n6pvM74nFR/dFQIo4yBurRi2CKkReu8et+KyqUjm7IocVVhhRDbyhZhVDOYvuymVr9cQKA2R63yIX\nT5Ed6CGjaybgFAHx93Qjpk/nSw5v4IZFN1QO/lgbsFR9mEufTnZgnzc+vOweMkPDpGd2gK5x46Ib\nMTBYOn0pgMeaVBt4mnBRZWNmnGe3U2tCo0gRwzDAgKkNUwNDBk8rtrN5TNPgL+82lUKqNTBFHJYG\nrFYtghymqfZTbiDH0eGjaJpmP750+lJPFic3kHPtlxMOY4i66HIn3S3v+CxLnvocxFMsP2Uy+Vd+\nQOy1R5WxedBn+aWCnC3FzvDCr7LPljBsQREfrmpbyIonVvheT1JP8tjOx1i5cCWpeIqlk8+sDHE/\n1qLIxqiqGYeKQ8S0mCt1B96D5GnFlpvHGiaPrk9AijjMGxtPXgULR1gyfQmAq+T7c4s/ZxuJsHqG\nSqVmFUPgojtcv+yhbe7quEltpP/3JtZmV5N/5Qdm9kARm6sOjmojyJtuyfQlSiWQTqTN0mO/gxmG\nLSjiQ7nyb8PeDRgYaEIjqSfpL/Rz/7b7AWiqS/FEzxswMuIbKtVsmbeizyOTPt1ed7maURU6yKGH\nJjTqtXo0oXnCM5dRCEgRR/EEq91TE8U4WZjKeNYz1JxikDevZ9Elyys387Sl2lh7aBttZ/6VKza3\nHs/MOM/XvVJtBD9vQGYiDq1ajNhY5Ff5pwmN2zbdRrFYRNM0Lj/zcn6w4wcMFc3OvJHCkE3AqgqV\nar1px2ZFctRodF39DBsOv2zzODi7KFUK3Bl6GBgIIcyGqsa0f42FQynl0qe7MkvyvQd3GtCDP6iw\nijLL5aMYJ3kNknqS7+/4Pp0zO6sWVtaUYoi0eeU8vqOZR0Zt/dBcP+TeTwmkE2mXIgBFSihK1WLn\nl8x/Z13o4ki03EW5q7Cnt8f++8jwEW7deKu9YeY2zyWux23FUKfXkyngGyrVetMO4HXr33iRO357\nl+e+hR0UZyOVLnTbch5os9LVQ+a+chza3IzzfAFM1T13Nnj5kuBA2eXyUYwTYGNqST3JQGGA1dtW\n8+COBz3cFJVKTSmGSJtXxSLkA0LtOLiDpngT2w9uj+xiqUKCKNVnHT7sRnarbwC+IG8yz6YrbVLn\nhlk6fSlPXPqEHV4snb4U+nKs3fkkmdkfIC1twOOBgFS+t9n6uO99c+by5Xy/qpFKNjprrplPetX5\n9j2R51PIAKZ8z+UwT0mCA2X3jwR5KVZFqBNTu/zMy3nk5UfoL4XMTq/qhClwitRRKbl+8gFzbg7b\n9RaaC80NdLEUIYGMY6iqz9Y6Mhmeuoa3XWdWYPrgC/Im82y60oGQN0z2QNZuFHIyKcdee9TlFVlr\nWIvzC1wilVVndI3YcwG0bSUFUCwW7ftvNVDNbZ7rspxyr82e7DrXPZHnU8gApnzP5ZSpL45RZv9I\nuX0RVll4Mpb0xV+O+wKnyB2Vpaq7rJTX7entsRdPdr1veectNMWbwrWoIiTIzDivrOozT5xYH6cj\nAF+QN5ln00mzGCA68DSe2MK4gJmOiso0eEI7Zy7fGTI06A0eyjfnoQjr95DnUxwaPGSyQJUOnPOe\nqzgh0gkfHKOM/hEl23YA3qAJjXteuMccByWww4gTrsBJ3miqjkpn63QQajyveZ7rOcuChIpPqFJO\n9Znnuk57lxvgUtQuyLlnu7pSMYshai3Fgd4h7l+/i+FCkf7h6mIL4w1mOhWhs6lKDhkMDCjAYGGQ\nr235GkII2612Hgqn0VnYPEL6raybzQpsfokcJjeldeDuuuAuj/JXtT5nHeC26/mw0vES1pHVhstK\njVvGz+o2tfbTCVXgpNpoHi2vaJ2W3esopaShQ058QhWVZVbRob+wK8933/cwewdednkofgCX/Jhc\nXSkrAnnDqBppjEKK9351LcOFAgPDRZJxN69iReIA67buKY4bmOnH5DRSGAEB9y27j76RPjItGTbs\n3cDn13+eoeIQosTp5jkUpetuaTuHZe0a3Hd+IEiYveweu707qSc9Jdgy/hAFI/Ldb47QNVNXR6xt\nmic1bqVhZZGNn2ofHPcYgx/w6AwtVK9ZOHP0J8gpnO5d3Vwx94ry87s+oYrKMjurz1R06OmEf6ec\nX227/JisCJZMX2J7FM6GIucmtLyt/uEiybjGJ87/U65aOhNAOcchVCTspdxu1XJExeRkHVSAlWtW\n8sDFD5A9kGVu81waYg3EijGXMfBNI3d+KZThqq33EAMFs2lroDDA4mmLXaGdjD9ExYiU4ghd0zTR\n9fbPkp3c6vJEwpRQ2cYvgtSMYvBDzZ21DPJrZrQWleXBrhTO9u+xat7/IiY0l1WPcjjKqWsIokMP\n+jxQ17bb7nJpVqIcelibYPW21WBgu5PWJpTXylIKFbv/inbvyN2qZYqKyWn1ttX284ZhcOVTV9oK\nU07xuiyljBlBKMNVT2oqiVjCbvPuG+lz3XMbfyjxQsiY0OJpi1m9bbX9vOzOe2Z1aJo5LFfTSM/s\nsHtgVJk2Wen49VGMtWemZhRDlPJS+TUvHfI2m3Rd0sX3d3yf1dtWm7Fm0aDnZ5+nqwDZS+5m+tTz\nlENOVBJU16BadN+UYMmVdbE2W2nMni3mcJaBfZ7H1h/+Hbf/+na+uPGLLivg3ATJWBKE131WrWeY\n4gqUcaA38xPXuiemkf7jTh54z9fN2RQOcd53i8zFYzHl6551oTmMZ9dasvVxMoOHXOzZufTpHD38\nMrqmewyChXWs6F5hXkAJ8JvaMNUDRjufh9GUoxXiudKmjt+UGzzkm2kLAqadvJdjLW6CGlIMEK28\n1PmajK6w6IUiV9SdyoNCdzVUpWNJOvb8ll/0zi7rcEQhMXVem0e5KToHO9o7PExMHSs3g6PeIa3H\nmHTZPRSN4qgVeP1XdBTjrnJhpfvss55jqmWQUokHmDSu4KNdT1Jaj9l6jKeufobswD7bbfYrcLIt\n5tT5rqY1q019/d713P7inRSNQomF6zBpobvqS+SeBOtgW99jAZw7Du7gjk13eIBh6/ntB7e7QoF/\nOOtb3rRpsWjyQwDZbQ/5ZtpUQDXg7hV65y121mQsUlOKoVzxWPTSwUoX8nTV1ZHt/CKZ7ltIx5Iw\n3Acb7uN8/T9oFV+G+qaqx8agUG5+FZER2JxduXWhkXn8MzAyYpcL215GIs3sqbMjXduz13fwy5f3\no8CywsWRStw6Fu8jqiiqXDtKQ3Ttw1FqHJOVZSYxzXdk31BhiMHCIECJhWuYjkKdp75E1ZMgW3AD\nIxAPkvEIPfG6N226uTT3KT9AZuN/EDutzQMoRk1TGxhVIe05rhUDSBbdMZw2TRMd8TT8702w6Zuw\n4T4Y6UMTGo9f2sBz8bMnptBHdmWnzDSv029KsuOxdGuGrrddZ7q8Q8Okd13nOSSVyL88sW3Mln5C\nKikV4YsrYyE0unr2qZXlbm+bvTWyz1IK9Vo9seKgzcKl6l+RD57KgsvAcNDzS087m2evT7lp8i76\nMjzxGcgPkB4eomvOJ8ieMssDKKrS1PbUrVgSTdO4/de3U3RQER73WYmqiN9E60WfNGcNCg30GJNn\nLWZZFduSAwt95M7BsCnJ0mvThbxZHLWiuyoxfrV6JiZklLuCYNaVKdLqRxvHYgnSPc/TYVG1qUb2\n6ZoL1L150c0smTwH3niRtfVxMo1eDzRzeL8NXGtC48jwEQBXeKmqSHVabC+u9DOT5t9as1kXmsQx\n+QFTOTz7eTo+tYW1UsWtKk3trLe4duG13PWbu07M7soxiR9T8TjRf0PEQh/LBXd4NPaUZD82Z9Vr\nK/wNTsVVTUs/IWP8JG5JV8ZCaGTyRfOJ/AA8/Y+jBCypVnJXP0PW0TuSBlfh2Oyps00PxGrUei5m\nD9y1MKB0YYQuTbDh/f8vt/1uFbduvNVVgyIXYQU1Ysk9M3ZTVarV5TXkMMhmV5sdwgHeiI13FPqp\n1+p9GZ0qkZpSDFUpsQ2aaD0O5KVlWeBykH1VCCKxR9sS0NqrUlzjbumrIH57wYMrvfysfaAoFm0M\nR9U7AkSn5evZAoURGO4lDTT9/FaKp5xq83t4WKIUn+V5jdQz42qqmnUh1DWQi9W5CIZUwLKlFNpS\nbWa/CDBUHOLeF+7l/s77T6zuyprnC/CRsixwOZ6LHIJ89/1gMRw3TB6lPg/hgZAV17pXX2Pq1DdZ\nODPjKr6qJfHbC05lYbvIpQOFFnMp26jFZJ7aksS0UQzIIZmhPDHwBRVVn+V5jdQz4zIMpfudlQiG\n5G5JcAOQnz7709y55U4GC4MUigW7qO+EyUocF3wBCik71rY8l9795gaMEha8sdWchWBJfjg4u1Gy\nmNkDWWa0zrEVlx7r4/9krzbTdCpXN5GuyGvze0+lHqBqLyxon+LfUKdQtlGKyTwlxIlpbk6FKx6G\n718OBqS1Orr+fLUNbspFTnLxW1uqjR0Hd9hdvZrQOKIJchaXaImpSg55Mws+7iEYCmr5b4o3Ua+b\nTFUD+QFWv7Ta9oYmxGMQQujAc0CPYRgfEEI0Az8AZgK7gA8bhnGo9NqbgKuBAnCtYRg/Dvv844Iv\nwEfKjrWjzKh0vkbTQK+zc91FPc66/hnM7x0yK+eCkHstxsMrH2b3fo3+2G+5dVPB19X97vsejlz8\nZUmQda/UA1TthUDDoQgTVbwGQc1wXZd0eTMZw0fg2q2215bOvepusgJlEZOz2EoTGp95x2e494V7\nR/GJgME3YbMxZBzBwh2+v+P7rH5ptdnfgcnoNBbPoRyP4TPAdmBS6e8bgTWGYdwhhLix9PcNQoj5\nwEeAs4DpwLNCiDmGYRSCPnxCUO5akShsT/Jr/uKrABwZGmH5U/Xsf3w3Me11Hl75NvZedg9tvYfo\nSU1VUsrvHXiZhTMzbNg76OKlkF3dp1/eRL5YX5bX5jywybjB/et3cdXSmT4Dd7Wyxs8790IlhsNZ\nrRipTd0vq+WgnHOSuvgVOclWPTeYo1h0FKqFDL5xpuCDenOcCs+qiEziZnQaVz4GIcRpwF8AtwKf\nLT28HHhP6f//E/g5cEPp8QcNwxgCXhNC7AQWARvCvmdCUO5akCggpKqUN9XK5u1vst943jxwiV4+\n2v1BoMBAYYBELEHdc3WeIhynOypX9Dlfd9GcRXznJ78t6/BZBzYZNxgYLvKtda9x/4Y/8NA1S1wH\neWHziLerMUQ5OPfCWAxHVB5FHJwKuSkZXthTNGngJCUtk7rIRU6hpC5RBt/4lNFbv8evm7h7V/do\nO8AE8DHcBfw/QJPjsVMMw9hX+v83AOsutgEbHa97vfTYSbFEUV68VW7q8omdnZZTT7wOokB/3uw6\n7M/3k4yZXaVONFvuOv3DkT8oR7qlE2mevb65rMNnHdj71+/iW+teo3+4gFYaKuyad9nzs7JpzlTf\nVYnhiMqjaPcztF0g9TNkXKMHZFIX8NLuObEGJ3ennbZ89vOQHyYXrzeHBw3kRi27Txl9GJFLT28P\nV8y9wtNLUYmEKgYhxAeAPxqGsUUI8R7VawzDMIQQRjlfLIT4JPBJgBkzZpTz1hNDSnFxYCyuiJ3d\nk7gX8Lc/ecTuJm2INSgBKOtgyMSh1vPyrAQnGU5U5XDV0pncv+EPaA5vw3WQy0nVlsmsHCbK0vnf\ndZNuO0d54OR+hhcO1rFMUtJp3EzhfkziqrqGtYe2kfnEs/DGiyx/8U7ym26zayjSibRvqCl7PlF4\nOcYTY3gX8FdCiIuBBmCSEOK/gDeFENMMw9gnhJgG/LH0+h7AOZ/8tNJjLjEM45vANwHOPffcspTK\niSTlZmNkpN9pmbp3ddsAVKPwjoH3czOdbENy919U0DDU1S95QHZXo66h3LJRgNkKxFaAoZyeSeJv\nPUGrmGn30yxsHoGerEtRqXALJ9OUCjiUwd4bFt1A3tkkZ7n9PkpU9nyWTJ5jl8y3tcyfWD4GwzBu\nAm4CKHmCF5NdAAAgAElEQVQM/2AYxkeFEF8GPg7cUfrXGnvzI+B7Qog7McHHM4BNFV9hDYtvOq4M\ni1cOqKbyLoRuPje1YeqoGynUqa5VnauULbtB1rKctLHLQ1CsQU7XPFWGns0bBZgdi0ifn9u1lqOJ\nhhIoa04wf+f6e1jToLPuz5/irOmTXGzSlqLywy2CGq5ksFdl8e25FYow0tOOXkqtdugx1kos18eS\nj+EO4CEhxNXAH4APAxiG8ZIQ4iFgG5AHVoZlJGpZgnL0SsvqZ/F8hpG09GxhzTUZXjhYF+q6q4qV\nvvLSJ1xWIijVZTUAOanC5NfI3X8VpY191iCIScta54XNmdBRgpVKbiBHVhsmU1dHmiZydXWmK2+Y\nTOKf+x/LWbru30gPHoF4E+9O7oa3UCoqFW5RbsPV3Oa5dpfovOZ5XouvUIi25yOVzMuA6ITyMRiG\n8XPM7AOGYeSAZT6vuxUzg3FMpFrsxUHxv28IoLJ4UrpL5hlM6zEzhg25Vtm70BOvKw+as2RWtVlk\nqrCg7r+K1s/H6vsVHXlnPqwzyVqr2Nfi8ozappkUavVx8ptuG22zPiVDWujhFPC9+0k7CHas2F61\n3vKwIr/hSMpZJUEWXwo3ZED0hKl8rJZUs7R66563bIblZNztVsuHdGHziH87dQTuBevwyEpN/tsZ\nxwu9N3DugorERWZ/cmUwEtPsobjlov8uVmSfGNmPEUtWsi8crGPZvOr2tXi8lRKvomv9HGzevhTw\n4FLomaufYbnEwWjNtrDWRYVFRB1p7yuKrFUa7JEBFfF6OuSEUwzVLK1ub04yMGxGQQPDBdqbk/Zz\nHjpyZxxqtVNbZa8RuBdoO8ej1B66Zgkf/sYGj5JzZg2C5i5YB99ZAWdnKGJJdwZDNWItorVWjov3\n6QlRMWJNRNWrqicivXuzklZPOd/ScuslF14md5EZm/w8gbDCpUgWX5G1qpZhPOEUQzU32Z6D/STi\nGv3DRRJxjT0H+5lzymgphw22qVqk5fBhRbfZ82CJQuPLrEhPbt0bqWfAedB8D74D6Lth0Q3sOLiD\nh3c8bJfQKkesRQT9/IC4bDLhn30oyURNyfID7lS0eoGKMWQ4cdgEK8ur80srypmNckOCahnGE04x\nlFshF4RHLGifQlzX0eqFUskEAmaeAa1bofsGD9WY8/DISu0DC6Zz/4Y/RO4ZcG44v9SlZdkRMFAc\npUhva/8z0NWj4sMwG9n6RR2TNtEdtX7AXVlzJiWFnk61+gKMVkv0XRfcxcZ9G5XDg+zahpIiUD1f\njnKolmE84RQDRK+Qi9Le66dkQgEzOc4GT5psuTTJuSWV9nxf1J4BFbbwve3fo94wO+9k1Lxeq6de\nr2eoMEQilqCnfx+zndO4S9YyyuENa/zxA9KOWUetX7FV1GyI5MKrAMYNezdw26bb+OKGL9rl6qrh\nQWHDc8tJO1bT+6o9xVDFqrcwSxe1vdds/vmZ65p8ATNnO7UMWkWY5NzCEZZpzwPnAK2Rewbkw7j9\n4HYQIISwiV+dlt0aCBsTMRfRrCtr4rNGqsMb1PjjB6Qds45aP16MChmyVBhLU7yJYrFoD8mxisrC\nyGIrZWGqtvdVW4qhilVvURYqSnvvtt+/wrufudhzTcpNrbp+BzeCNQ3bb5Jz1N+v8ohUJCHFYpHB\nwiC60G3F44yzeeNFJdGs042utKsxCpB2rDpqTYNRZEH7Be7vrJDlK6hJyy5X1xswMJjbPFcZeiRj\nSbueoWwQkup7X7WlGKpY9RZloSK56torymtSburfea9fNa8yXSh6EfFEWh37Rvz9qqYgFTNRuu0c\n17wGP6LZKOFUNWSiO2rHA9fw85CsITSnNp7KyjUrAZPHoeuSLlfosapzFVc+dSUYo893TJ0PpdRx\nFONYbe+rthRDFacdRV2oMFd9MkfU9O9t59CSanVvasX1e6zJ67+i49Fr3Yi4ZRXG8vtLRTcdbefY\nn6dC4ZXzGyWiWdUwmXIOrzJ9OcaCm2rJeOAaKqUssy4JRCCuIIC+Qj+NIunaI1E952p7X7WlGKrI\n5jyWhXIriwD6d/mGKa7fMy1raNjfK5Den9M1slHSVlIIkluxzi6xVqLwoCYkqdIwmajg47GQ8cI1\nnBhLWPGSB1cYPEJsuI9GDGLDfWQOH6jIc5SN3FgqgGtLMUBV2Zx93dQwgFN6/gCT2Fo8m3Pf2MTk\nsBumQKxdlrvneZOqTeEV5AZyZA9tIzPjPCA4beWqNHSEYMV4is//22p+Zpw96ir7zG/0W4OxHp6o\n4OOxkInANaKwLrmeN+J0vXmYrBgmY9SRnvaK7x6JKqqQqRypPcUw3hIG8Cms73u/YU5uahWDrGmI\noZV5w+Q5jGiaSdXmSAuGkXA4ra7HVX/fd+w6igIaW43TvdZepQh8FPBYD09U8PFYyXjjGvbvf/1X\nJrBbKJreox9/Q6EIQqejEIPhXtjyXXN/SXukHFGFTOXIcaMYQt2iqF7A4GF1k5PzX8fze7LryBen\n0DtUgPom1v35U2bXXbmhjgysNkw2h6KULP+R4SORW3I9rvrAPjKl4Spt09/Pke/uJVVftK29Lwof\nsL5jPTzlDAM+ESVdKLpwAufAXGfPhC0rN7tGKSJG90glMlav77hQDKFIcjlegKa53bQpM72lyw63\nuz1zPrF12+wFnn/GLEjNL/9HhLA5a0JzEbUGteQqOR2t51971GaFtjZDGAp/vM70qGmRDIHcU+HB\nXRSjFCsG38ts51fJcaEYQpFkRZozN+M8ZQxuMy43TDaVwks/NGm8R/qUCH061cqz17fa1hSorHMt\nbA5jrJFb3nkLTfGm0JZcuc9fxQq9bF6Hfa1hQOLxOtNjIqVsIC+kp0KJu1QDfHcYwajt/CqpKcXg\nt/ihbpF0E3Lp031jcBt8g9ICjsBIP9Q1KhF6GI1Jx2xZg+YwauaMALlDMko1XBDYF8WlrOmZHlXm\nf6xEKrrv0iSxdO5Vb92Kz/sOtF3Att+/wgJtI5NnLR5byFphLVDNKIagxbfAMHOxXjFrC/BPE2al\nKcHZgX1mvYBzg9kpvF6Ip2Dx35muXMBNqLZl9WMqlgk/lk5f6hrGCt6MhQz2ObMWYUDisahAjGSB\nfULEahHxRJWK77s0k8JTt6KQA71DfOgrP+Ix4zp0UaDY0ID2t4qp6H5SpVqgmlEMYYvfwhFlabIt\nDmvsqR1oyZhttU6RF/CsD7oUhysdWLqR1baszu8A74wAqyUX3MNYVY02Ti9BVWAUtpEnsgIxsgVW\nWL8DErX7ROAhY7rvZVrwrXveYr7xMjp5UgySzwu0b18IaNGKneSZpxV6WzWjGEIXv4wFVtKFq8BJ\nn8Kl3BU/YPkvryUPxLQ6MxTJvUpL2zluchapsSpUHG5xTtcCZxI6Z0LIGQs5tAibb1hLBUZQhgVW\nWL9jgYeMyaMq04IvaJ/CF8UcCkaMXhIkhQADGIkYGlh7TFWMV4bUjGLwMCLJh67MBTYKKfK9czGm\npszOSAtgrGscXVzLy3BVBqbIPvJh8lNT9GkajXqC7H9dREf/EOgxWlZuNrsty5iqBHjc4qzE6mtg\noAmNes1sk5anRzkzFlbBzIa9GzAw2H5we1U69CZKfGnxrPvtxBWkEHBB+9AxwUMq9qgiAorO8Ojh\nf/grXvz9WSzQXkE79QzzgPtkKlxhFUdG9xhFQJRCZQfnRESpGcUApcX3O3RlILayq/rTq6bRPGK2\nvzLS7xlx7lI6GObIc8OgsVgkphXIDA5XRurhlJLHk8v3kW2YQlvvIdfhndc8z9UmvePgDmXGwokh\nWPMSwxRHrUkoLZ5s6RzTwZ1e23Ez4zSkmlcVWp019xReOLCfzKRWmyYvlz7drIzVRyeTO9+39pKh\n0crcukaz3b5CrKGmFANgDvgcGTSHfaoKkCIgrLK7ufvV7TTHG0vas9EEck6ZO/oGh9LJJaaSffRv\nWHWgl554HZnLvkP6+39dOamHJW3nmHTlp04nLwSx7f/Oqovud4UMzjZp1VRjwDdFGaQ4aq2RCQJo\n8V76YSjLtu21lRvK1YpImZYoYwFQdOlu3ZN3h1XFWbzbuS9XlAFaSlJbiqF3Pzz9j/a4dzTNW4C0\ncrPZuxBgMWRXtT1zPjxXZ2YfwOUxuABAa/FbW4gBXX++mnTLHG9jk8StALhdYZWkWslecjf5jf9K\nX3GIRqPoUgqqTERQx55c5BSmOGoNZ7BFTjXPfi/ZF79DRhMmlbuKJu+Vn3po8o4b5aDItEQZCwB4\nHlvQvtj1vvlnzIIzHEN5D9axoP1PTwAy2J4tUCxlD2IJuOjLpsZzbIrDr2zkvY/XB6LSMliUTtWb\n2vPbF5pAzqpOm3NRDdr1j5YaD6SDG5uikogCmdPehabHqQcPjqCiegd8AUhrUKpfClNWHOUwAY2H\nm+7J8ihwhFz6dLNsuKSYV73n6/Qc2kYmfbq7DgXGd1pVtcX5WxUgesuZna7Qiv0biQnNc++8MytU\noGhrVTI3taUYVF2A4Hpsa3EW+eJuDx2bvJltV7V3v0mgMngY0Ex0V2jQs4VsMlEW2q9sbOofKG+T\nBuAITg9C9hJkHMGqjhwpjrB622que8d1gYojShgxXqXRyqYvmar+zE5HJag5tfvKn3/KVOQCHvjo\nw0w99AeTcWrqXLeicHBk1JznIHsIClIc8OJrXXV1ZC+5m7aW+YGDc1VDiKuRuaktxRCBi28+k4hp\nr4+GCc1J/80c1CNh0asFuO8b9m5gMD/IUHFI2dhk10dExBvCcIQwReTEEbIHsowUR+jPm6Dq17Z8\njZge8ygOq/YhCsYwXqlAT1jjQ1XvrOA0MDCKhs1k/Tc/X0lMxCgaRVO5WKFcGEdGFaUib0r2EBwl\n9zKY6HxtGnPs3HJpbJ1ML68aQlyNepvaUgygRnAdj7WAy31SbeaFM2Pm4T68n7QTpT1nBUxbALMu\ntLECy323xoxlWjL24t+26TaGikOA6fovmb7EW6l4aJsbbwjYlGF9+mFjzp04QluqzfXZAsHNi252\nKY5yMYbxKo0e/d1JYhi0tbyNtcl6G0fIpU+3CWmcI9yufOpKM+sGFI0iw8VhW0lnB/bR4Uk1j19Y\nUbE3pUqzp1rVlH/Sa1WEwfLgXL8hxGPN3NSeYoggzpyyvJlntBZHF05odNXVkTYazTTlb/4T9DpP\nC+yqzlWegaLr965npDACQIPewKfP/rRHcZRLX+bHU+AHQC6ZviQQR7hv2X0ml6ABdXqdR3GUizGM\nV2l0OpE2+wT+6yLahkdY8cu/J9+SJiYEq97zdVZI7cjWeti/D9A1HQwzznb9nqD6lir2WYypLFrh\nISgV99T5Ju0ewKwLlYTBUYcQj7WS9bhUDE6RN/NLhza6F/ySu+nY81vY+P/ZxR5yC2z3rm7X3+v3\nruf2X9/OYGEQMDfjvc/fO+rGlg53Jai/PIMAopdCy6FF30gfD1z8QCAAKYOZUdZzPCoJ07lX6egf\nYq0+Qh6DvsKAufZ//LVn7Z18iA9c/IDt0e04uAMDg6XTlwIEjoyvJuM4jNGbUngIHnA4Mc2+3lwJ\nX8ic9i6PIfF4ndUYQqyQ414xgHsze/okTnsXTFti9rn7tMB2zuzkwR0PuqnXDdOHrdfqueyMy/jh\nyz9U0oOXi/rLnkZQKfTR4aOh5C1BiqOnt6d2UpQly54xBDGEGVb4rL1qPeRDpRoZnxvIjXJkVpFx\nHMbuTcmGRG6dT+/ebBfALT91OvmN/0os1qDEFSyP1hqcOx7K/IRQDJbIMwGduIHTqjjHirWl2mwE\n39qEhwYPYWCQ1JPU6XVcOvtSunZ2SamiMujLHC6t3Pl5dPio/V0yAKlpGpojbSWHFj29PYGKo5xS\n6PHuWMzpGtnL7iEzNEzXqW9nw+GXMTCY2jA1mPZe4T7LHp4q9va02o+BcdySyAdQEcKoDInFcpUb\nyLFWGyZTV0e2YQp5Icxal2JM+dtWda5yeVXjUbx2wigG1Yi2MKvi2UylOYIruleYHypg1bu/xuw/\n7vRORbZmNIRZZMmlzVz9jL1BNE3j3ufvHf2uknJybvrPvOMz5AZzdqjg9BBURU6VcC2ON4OT5960\nrfJUZVoHRDXsVT5UspfhR3fnabWfCFGEMDLQ7bw3rrVpm8aqef+L2PZ/p7EUtkZVjNX2DE8YxVCJ\nVVHVJYBZYWaOFEvS8/BHmN0/VP5UZEsklzade9U+vEeHj/LFjV+0x5dZm8ZWHELj3hfupVgsKtut\nPe6oY2JyOTLeHYsVWXxp2Kuz90P2MlTKI9OSMXkP5BBjnMvCD7+ykcaRYWL5Pt8Zpc7f5QkxWmay\n6qL7Ta/wT95Jevdm2lJp06v0Cb/Go0nuuFYMTve3Eqvi53rbj2GMvYEqADWf2zxX6V5am/7I8BFu\n3XhrYNdkNUhXx5vBSb43i6ctZvW21fZGV92bDXs3uLyKVZ3+XsZaKdXpa5HHuWfkQO8QH3pskMcM\nQUwkSGrelKPqd6lxoxEefOEbrNp/hBWtk6AuCUKoPdhx+D2hikEI0QD8Aqgvvf4RwzD+WQjRDPwA\nmAnsAj5sGMah0ntuAq4GCsC1hmH8uNoXrnJ/5VjVGhFmUaapqNQ8vA09W0YX3ZrgVEkDlU/rsFyG\nHZQ5mNc8z1v38L7vkN35JJnZH6jahhhvBiensrM2vlXReNcFd7F+73p6h3tdeIqBUZGX4cz4pBNp\n9SSwYnxcwoute95iv9HEsqEvs7j+Nf76zy8lc9oprpSj/Lu2H9w+uk8nzyH7ux+RL46YZfkYdMcN\n8hj0FwbUHuw4KbkoHsMQcKFhGL1CiDpgnRDiaeAyYI1hGHcIIW4EbgRuEELMBz4CnAVMB54VQswx\nDKNQzQv3c3/9agxU8SvgVgoyBVelU5F9htsCHgLYoDJoj+IoFOHb7zerBtfeU9Uqv4mYtdDR3mHz\nWfYX+knqSf5uzd8xUGqaa6xr5Lp3XEdjvNGjFG0vQ4/uZViKwv4c1VTvKioHy/Maqm/mV1oL/3LG\nLNKJel9wVdM0bv/17WYaXGh09ewjU8gTO2UyjXVJYsV+OocFD1pZHPB6sOPUIxKqGAzDMIDe0p91\npf8MYDnwntLj/wn8HLih9PiDhmEMAa8JIXYCi4AN1bzwIPdX3jBybtyK81zK423XjVZJOhc9pBJT\nKT6pstxAjiPDR1yWMawM2pVynKAqv/EUuezZSgsD5At5vvabr9khnjO75AKEO1eRTqRpS7W5Ym/Z\nGluH8YZFN9A33Edj7lXY/W/jtn5+npcz++A0ThbG1Jfvo1GrJ6tDR98Rut6E7NKPkElOJ13XSFfb\n2cEe7DhIJIxBCKEDW4DZwH2GYfxaCHGKYRj7Si95A7DMTRuw0fH210uPyZ/5SeCTADNmzCj7woPc\nXzlkkHPjyjbW+rg5+bkaix42Q0LTuOWdt7Bk+hIl7uFkcnIBSz6fG5SFCHt+okUOK67qvoqhwmjZ\nOeBRiraX4QBppzZMtUMSA4OVC1cyrXGaS1FYSnekMMJAYYCE3kDdKZPpepPRlu4qi5/npfJi7bR4\nLElM6GQKmAA1go713zQ7jfUY6ZWb6WiZY3qijsrI8cy0RFIMpTBgoRBiCvCYECIjPW8IIcqiCjIM\n45vANwHOPffcimiG/G5C6Eh41WOnvatqA3WjzJBoKhZJ795MJn266zrmNs91dWB6PndFt0lmctYH\nPXiFar5lLU6ddlrQmxfdzNHhozTFm5jbPJcV3Ss890mVcbAUan/BbCL76pavMlwYpkFrQGiCuy64\ni+5d3YwURuzX9BcGaIw3kn3P/6Qj87EJ7cT0C3ssrGVVx92kD7w6+ob/e30gWU25HI7lSllZCcMw\n3hJC/AzoBN4UQkwzDGOfEGIa8MfSy3qAdsfbTis9NqEio/WyonDhDYlpZuVZRIaoSBI0Q8IR66Z1\ns1PQQpjlDkxXjrp3/2gn4eb/8PBGOpuxxo2spUr9ByqlBdjTt+SyZ7/0ZL1Wz1BxyPY6BooDJEXS\n7rEYKAyQ0BIMFgdJxBLEtDoyCz5ODiYshQle5WaFPf0Fd1rctzW7ypWcYRIlK9EKjJSUQgJ4H/Al\n4EfAx4E7Sv92ld7yI+B7Qog7McHHM4BN43DtZYnTSoVyA0Qg7BzToNfD+0nvus5V29DRdg4oPAhX\nKCFtjszQsCfVparHT+pJDAzaUm1jCy2q2H8QhgOpCtRU6ckNezdw26bbKBQLDOQHSOgJ29PqL/E6\nXD7nck5LnUZTvMluNJtoT0oedMvkM/3T4tI0NHs+RZUrOYMkiscwDfjPEs6gAQ8ZhvGkEGID8JAQ\n4mrgD8CHAQzDeEkI8RCwDcgDK6udkShLJAsXlRtAlmpUB9pezNT97pvsoK+TPQirypK2czybIz2z\ng1VtC31LpK1S7yufuhKAq56+CgQUi8XKDkQVrVYYDhQ1Pblk+hJuWnQTAsHc5rkusNIqEnts52Ou\n33ysaO/kQbf2fVaBiiWP80DvEFutkYgTWMkZJSvxInC24vEcsMznPbcCt4756sYqCgvniVdnf8BM\n/YVo4qpWB8oYhKI6ssNiRpYttFQTseIJ/xLpTEuG9XvXUzTM0KReq0cIwWBhsLIDUUWrFYQDaUIj\n3ZB2ZW+ipidnT51NbiBn1wYYGK4isbE0wI1ZVPfZuv8K4lalMZqgLNRxXfkoi8fVV1i4dNs5dL3t\nOpMi7LR3mRbTAej5aeKqVwda7qE1HER14PyG9SYTZEr196oSaat0+NDgIXf7uB4zKeKEZocWkcXy\nvEob2MM+VIGkE2mTg6CE7zhDg7t+cxcGBn//jr/nvFPPU3JM+KUnw7gvZbc+LU8pGy+RFauC6Biw\nPcSte4rjWqoeJCeMYlBqV58bkS7kzdTkys0eQM8vbq56daCKC/CtXSa7754iC9qHPNcvD+v1I3y1\nrKhh5vIAs338lnfewtzmuWZoYZgNWUHhhKVonbMfcnV1rL/4Vm5/5l9d/BQVKQdpDdIrN9MUb6JQ\nLHgo66xQYFXnKrYf3G6HDmGdmH79JLJbPyFM0yGeosx+vXDFunEtVQ+SE0Yx+Lr6QTeizN6HqlYH\nKrgAley+AcN6ZQ8B3KBeMpYEgfkv2DG4QNBX6KNROJiDpNg19+br/Mu/rWarcToLxKvcHR/hUL6f\n5adOZ+g3X2GwaLJbjSlGV9wPi43bkkKxgIFhhz87Du7wgJRBnZie9uZx4muILM5slWy4wB1qvJXl\n2esvOCbDdU4YxeDr6pfYc7IHsl4ackfvQzGeooDGkSkZJiTT79gURS3Guv4Z5F7e71Vu7Zr9FnnT\nt6XabLYpy3rLXsRdF9xl07+t6F4RyBzkdGcnfXsptxvDjKDxceNfKKCTTZlcAZZSqNfqRz2VStKY\nCo8uvXszD7zn6zZDtK7pIEAXujJ8sIqgym6mGge+hrJF9iDAE1JO5LBhp9SuYihzo/m5+p4NUSJu\ntWPklgysWMfnS9bxyDe28ez1reOvnUub4vArG7nksUH2P74bTQg0IUjV69gzHR3j+tIrN9sewtHh\no1zVfRUjhREbQ3BmIpyZCqeH4MccJHtROgVSYoBeI8E0/XW6//JrzMv32lwBmqZx86KbzQa1clvR\npTWQh7DO1mM8VULs21JtduhgpRplj0BVExHaTHWs+BpUa+D0VBzXdIBJoxmJVL33TFSR01KW2lQM\nAWQXQfl3zywJhfudHdhHRuLf+4ezvsXPjLNLlro4cSBPqpXn4ovYbzxf+m6dL1ySYVJDnTkop+dn\n3kM74zzu2HSHTWtviWW9Zbq30MEzqjLrwUNkkw3M1wRFdH474ydsffHHpkdSGqtnMV8B6hDNOVYw\nbGy7gu05nXvVc5+sIii5a3atVFWq6o0J4muoKXGkKZ1h5Zpr5ofP+KyicqhNxSBtNBXZhdUi7dl4\nAYxJfgCVH9PuRIgcAp01fTJ7DpYG8CoOrXXtllJo0BuIaTEuO+MyLp19qbKWIWjUXdclXS7au5yu\nuaZB3bjwMxRfuCeQg9HjlqvQ9rBNG/Bbg7gMsgeyNNY1unokVL0xHe0dxyYTUaHImNme7DpXk1/f\n8w9R7yCEqTZGUpuKIYxf//Vf+SPKAYxJfgDVvJaZfOFvdlEYmMH5p7tn/Y03F6IzBGpvTvLhb2zw\nBR9JtbrIbjWh8emzP829z9/LD1/+IV07u0I9BFVxT6Ylo0iBmg1LRkNTqGJdf/h3TCrxOaZbM6XB\ntCPuEexhm1bqA5F/q4wvJGNJu3BrID9Ag9YAAlYuXKnMVkD1MxGqvTGm/eIIDdTzV0cxqY9ubOO7\nDkIYrcoYSW0qBgmU8fDrDw2r8/s+AKMKlbY7/LQkK566kjwQ0+r4szO6MDlpxlbtWM4GsUKgNdvf\n9ICPC9qnsLV4NguYRAtm7l/GEIpGMbKHoGIMCnpeHoojK1YVp0B6eMic4xFPRQf2rLRxfhg23gdX\n/xQmtXp6J5wt2xjYDVLWxKo7t9xJvV6vJgSuYiZCtTeAyqtjJU+3ZeVmnr2+g3WvvoaeeB0mJcyQ\netdaHswN8PufJ1g2OEoI8+7/FhgDuLMJMtIsjYWT8/tdislQKoCqY+p81n5rMfnJDfRpGo2xpCv1\nVmm1Y6UKxWMlFOP3hN5bFoYgW/ftB7e7DltQ3l+ezmWJs2pxX+8+vvLcV8wJURanwEifOflr8d/B\nok9Gs8o9W0ylMNJn3q/vvpflM2aQl2olLKW4eNpirvvZdSRFkoH8AHEtzlBxyG4+ixTyjMHKqvYG\nUHlBkkJpiRnn8ZWXPmFe/3Ol/pHf3sVIcQTRDkN7/pFfcR7/csasin+Hn9SsYlAeZMvqS2PhVABj\nh0QCqqyP7x8gMzhMbFI9jcWiyZDjOFiVVjtWpFB699PSs4U111jjy9Xj92Ip7yDcqB6Cy7oHgHKW\nV+DXaGQ1YrWl2rhp3U2jY/y0mM0pgB6LrhTAPKSONvNsPEa+MGzSqDtCHlkpOofR3LbpNrsQaizM\n0dvoaOEAACAASURBVFG8Pb+9UTFWFQFjeWznYzbonKxPcuX76vibt1eX0duSmlUMfrGwCqU+OnzU\nNQlalcJSudBrB7eR0WN0/fEo2YY4mY8+5sp4VFrtGEWhuDYfR1xNVAtXrOOFEuYgf46QB+qUWsY7\n2s4BBULv9BAEYpQxSAblJA/Br9HIua5WURWUxvi94zNkFzWaWMPMjvLi91SrGT5822y/yRQEMT1O\noxbzPehOWrwl05fwxCVPRGaO9pOo3p7f3qi4OlbB4SHjSY/+/lFbCetC58o588zM1X+bdCXB5Bwq\nlFoTGp9b/DmWTl+qTGHJLrLd0ts2ja63f5YOn41cSYFJmEKRN9/aS4aYXHIji/EUn/+31fzMOJuY\npvHQNUvYc7Cf9uak/Xm2h2B15fk0ickegl/YofIQ/F7rqqzUzcpKa+NaVPcxLUbXrAvKLxQ7ZS5c\n+8JoT4uUolYVeKm8SjNdbc79KHfORjnenmpvjKkgqZSqdHq61tSpHQd38MjLjwCmEr5pwaci0wVU\nIjWrGFSTnvzILpy0aNbrg0pjZaWRndxKR5U1btAG8Wy+4izeXXIjC2hsNU4fTVMd7GdB+xSPFeto\n71ByQKbP7PTMrQjDD1QFQH49BvK6Wu68THVfcZm0o+AnDb7Yhq9XM3W+p//irKmLeWHXW2b/SYgV\nH28q/TBRebpf2vQlm54uGUtSp9Wx1IiPa0l3zSoGIDCboGrVdcaYXZd0+VqLY9Z2i+ktHBkccVU4\nzj9jFrn2Z8jufJK26e/nyHf3kqov2hvT14r5tEE71y0qfqCyxqqyYg/z1R93MrtU/+BZ03GozLN+\n24HeIQ4dOgVN6O7vlCo5D7+ykfc+Xh8ZCB5vKn2VOMlz/IbzWKzaH5v/Ma6Ye4UHgK92SXftKQZp\nM4WVu/oNZ7EslspqlTV3soriDCE0IfjC8gx/NqcVofeaRUXFPLHXHuXhlQ+ze79ZEp3u+RkLmzNq\nK+ZHb6/4nVHwA2Wo5cBygpivrHJtFR1/tV1d5zrqsc/yxY9MZulpZ5v3UVKWW4uzyBd3lwUEVxoO\nyOxYUUDMMCxMHpx0xdwrAFwAfDVa4GWpLcWgKIWWMw6qclc/62iJ6gZVY4JTueK2/DqTEnW0pOpZ\nu2ej6zfuHXiZZe3z7T6JtB5jzTXr7GyFa5P5UNk7N2lU/MA31FKxaquYr5ydkePYvehaRxpJ5t/m\nZroq9aBsLc7i1OntxLTXSdWDJgRHBkc40BseUpQr8gH/7vse5kP3/TbUUwlLF8sDl8GbdfLMaK2C\ncqgtxeDThuvcxHK564a9G2iKN7mLlhzW0SikxnVgaznijF81ITgyYG5SZWgjucSxN56H+KJI3yNv\n0qgzLy3xENce3g+nvt19jRLzlaeWpJrdi5IXKeMAcrNZbsU6lj1eT764m5j2Og9ds4SXeg7zzz96\niX96PDsu+0A+4E+/vIl8sT7UUyk3XSwr7fEacFtbikERM1vusMU54Cx3VeEK8oL+w1nfqrzopMpi\nxa+//P1+/rnrJf6pa3STeg6q1JZ9yWOD7Deej7Sp5U2qmnkZJC6Go8c/YxLXyhyFuVdddGTKWhJn\n52SlWIPCi2xJtbpwALnZbE92HfniFBeAOylRR9EwqroPZK/MucYXzVnEd37y21AQs9xwT/6e8Rpw\nW1uKISBmlptndhzcwfaD23nk5UfsQSQql/dYNkippCVVz6QGxSZt1+joHzCnaYNrLdb1z2D/49Hj\nZHnzyGXN4M+S7NzsHcW4Oc5N5ihUYAdyX4NdM+Dz+sjiE5K4cADJoLRnzie2blv1io8UosK+ZOX+\n7PXN/hiDwwtKp1pDw722VJsLgF+/dz0CoZz8XQ2pLcUAylyurD13HNzBHZvucKVwnNrSdShOO5tn\nr0+NK8pcbuNMmCssH56zpk8qa1O7wFXHzAzLxVRhCL7U+hHmG1il68o5HWPFGqIQ0EoGJZ1q5dnr\nW0dp6UpFQNXMNvhZdGcdRUvbOWoFHgFL8627caQwg6j1x6ogak8xEI7UOod1WCmczpmd6r6K0gIt\na9dgHKrEKumLkFNiSt4Fh6UNBB99xCZaVVl3n3RtpBLiEB5Kz5wO1fCUckQ69DldUw+KUdCtL2vX\nXAq3ZeXmMYUPQaGD7cJHmb2hoBU4kqj3zDQNS2GGVQWPRTnUpGIIK7YBt1fQObPTg8y6GHxUqTOo\nSo690karIFdYSSn/VpZl88pD9XO71pKtE2SG+kjTGGrdlZtd4i3I6RpZq8V6ZocXW5CzFarhKeX8\nhoGcmYorZTyCNn9QRelYMyMqb8rJNg6lqVmH96uHIzvFcb9zdXUsf/FO8iVWLIuwV/YQwnAFPw+m\nUqlJxRBUtagaZx9G6OGZZC2x8Y4lx16VSjkVtjLGGQ65gZy54aY2EpuSpCvXDyHWPawWIXf1M6P1\nFqWyZ8+9kud0jAF4lA+jPAlc3vxBFaVRhwD7hYXuPZYk+18X0dE/RIe8LkKjq66ONKPfqfzM0nDa\nbDJBftNtozNN402BZDuqFKZvX8gYpLYUQwmQ8atx9xvSGlYqvV4MMylZT0YT5pRjqFqOvWqVclY9\nQik+tfLxlR6q7IEseaNInyZo1BrIXnI7DOxzK9AdD9MkeRTptnNGQVDJa8nufDKwMMq+Vwoex0oU\nsKzwBcKz+Z0HXVbS88+YBWdI7FRleBzOsNC1x6SRcp51ueRuE7gt8TYGUbSpGMbAy2vpl8IE//me\nY5HaUQyKGQOucEBRz6+qYfCUSmsat2/9OsUSVdmq93ydnv59ZCStPhapGpOvKj6t0gg4y911pXp3\nP0nR4VGkZUo2CR/IzP4Asdce9ZQ9p3u22N2drpqDMOAxpGRa/g1zm+d6iFvkgyIr6dyA5jugZ/3e\n9UyKT7L3V1BYKAO6fPfPWTupmUwB77qc9i5zLYCtEvmOTNGmYhgDlI+prl8FQlZDakcxROB5dHUO\n+tQwyADkaCOROeD0yp9/yrQ8pa7KstuDx1OqWC3oV/btKSF3eBQdb+3yzLqQ0X5XtuPlZ+Hpf4Ri\nUU1QGgQ8RgDp5By/jCP5GYqFMzOkE/WBILaKmyIsLHQNRm6bRr4wTEyP09XoX2IfRNEmM4ypvsvp\nQcqK0o/bshpSO4ohhOfR0u5+3Xx+zMDr96630V6LDqyvUNpIiQaaHDXm483vWO4ajNWTUW64QpGO\n/gFyaWvactIkqJk6FxqmujMO9lSsC0ZLyQtFOg6+AU9/zGRcypuUasSbSlyPEYHHCEowqLnIKniz\n7q0mNL746y+SL+SJ63GeuPQJZZo7jJsiSlhoh2nFIRq1mCtVKacMPRkojtj4ArMuDDZKCi86CISv\nZjNg7SgGC4B75aeAuVH9tPuqzlUcOXjEld5RlUrbXA0S2tsovB5H1Nr2CVmD8Zp14NhoaT1G1xU/\nIPvo35AZHDZBSMfQ3NyUDMu+sc29HhahzMjgqEIAiCVMhXLWB80xf45UppVR8MS8IUow0No77p11\nb48OH+W2TbcBMFQcYsPeDSyZvsTXwwwqIAoLC/2APj8MzDXWQJUdk3637XkoRtilGyaPhm2oQ45q\nSO0oBktK2QLnOPi9vXu5c8udDBYGSeomO7BA2JtCNYhEBiCb4k1MbZjqOwU5am37uItPU1RVRE6B\n7nyWjv7BEptzyjUR6aW9R7zxtva8+X5LKcQSEIvDRV+GWRe6Upmc+nZ3BkPOq4coQZW197t3TfEm\nF5sUmKxezuyV7GEGFRCF1QD4hWmhKcMQLymwwEzT3GFbKfSyPEA5rTxWqS3FoKB+z8w4j5t+eZM9\nbckQphvo7ANQFTYBHotgLbqmaVy78FoXHVzU2vbjWmQr/acXwC++bD433AfxSbZFO1+L0Sq+DPVN\njvVwvF/TbIWgao+/MXGj7yFxWUWfztAjw0dcYUKQtc+0ZDg0eIhELGG+Ro+52aRK6L28H8L6EoJE\nxRUSmjJUDVm2MlCpVm+4dPhlmqyakUIB/u/1vkVw1W5try3F4EOIWTRMbViv1fPZd3yWr7/wdV8A\nSVXr0JZqo3tXNyPFEXuK8lee+wpxPe6igwusbT8RRDVtuS5pMjPXJeG10QpMLd7E45c28Fz8bMd6\nuN9/gEml9RripUPRGrf83G1LnM9bHqHsIagK3lZ0r0Ag0DWdz5z9Ge7+zd2R+SZCp3X5SGi/hLMV\nPNXqO5JPScsng+sRy9Or5W3WlmIIIcSMaTHOPfXcQABJ1YyyonuF3VdRr9czVBhiqDhETIsxKT7J\nvoG+te3jLBMKesrTlmNxEJoSI5g8azHLZAvkM0Lt4ZVvc90nV+OWo7rSUykpWWfZalrp6KCDa73H\naqZLxVOB9Q5hlbVRY/XQfgnJmpuKtATm+owftPY24CYeilCeXk0Wp1DFIIRoB+4HTgEM4JuGYdwt\nhGgGfgDMBHYBHzYM41DpPTcBVwMF4FrDMH4c+Yp8CDGjanr5Zrkot/Ukf3H6X/Dkq08ihFkso5z2\nPIHpy7EMtRmzqOL8iOCnnPPfvV9THi65X8OvoMcSPyUQVL8g74N5zfPKer2Kxi6KBCosyZrLFHNr\nrsm4PAC550TpxVgM13IRXAmwd8kYafWieAx54HrDMH4jhGgCtgghfgKsANYYhnGHEOJG4EbgBiHE\nfOAjwFnAdOBZIcQcwzAKUS/Kj87t+zu+z0hhhP5CvxJAsv51umNOym2hCbp3dSNKAwxWda4i/ced\nVZ1OVK7lr7TXomoig50RwU9Vzj+dqPfG5hFGBjpFBvbAW8QUxnoUVu8wFuAx6Fpd7wuhmPvlm71M\nDeg58fViZE9kRbe3vB/GbOxCFYNhGPuAfaX/PyqE2A60AcuB95Re9p/Az4EbSo8/aBjGEPCaEGIn\nsAjYEPWi/HofRoqlNmt9tM3aj/p8+8HtHsrtD57xQX748g9dimV2ldyxak2fOl5Az8il4D7kO1EL\ncVTuumypw4DEcl9fTpGQ/FtcxsHhfc1nEhbFnB7r4/9kr6ZoFPDtOZH6g+zaCBlXkGtHeraYFzJG\nY1cWxiCEmAmcDfwaOKWkNADewAw1wFQaGx1ve730WGTx633oL1UvXj7ncuY2z7VfL9/c7Qe3Kym3\nL519KV07u7zuWRVqB8bSZVktnoCJLtCKVAquGFYbJGEt95YXYaUuwzoRna/vG+7DwOCqp68KnbVR\niSiNQ+lAtjA6jKY/9ltu3VRQgqNW4ZbfenhASAkXsg3bGI1dZMUghEgBPwSuMwzjiBCj88QMwzCE\nEIbvm9Wf90ngkwAzZsxwPadyJ53FTo/9/rHAMWtWsZPM16DqSgOqUjswFstfjV6LY4pVBIk1rLaQ\nNzdwiFvr5/ZbB+bQ4CGXIpA7Lv1eP1Iccc24BMYEPMpyoHeI+9fvYrhQoH+4qDQO1n3ODcTcQ5od\nysjVFawIg5QgpIpCb4zGLpJiEELUYSqFBwzDeLT08JtCiGmGYewTQkwD/lh6vAdod7z9tNJjLjEM\n45vANwHOPfdcj1KxQgT/3gf/Dj8I52vwpJLGKMdiHoFTjjlW4SdlptRUbv/6vevttLRlTa0MhKrj\n8tDgIb6w8QujH+qYim0phXqt3uOyVyqWUh4uFBkYLpKMa4HGwY9hS5WxUQKc8pg9K0NRpQY8iJaV\nEMC3ge2GYdzpeOpHwMeBO0r/djke/54Q4k5M8PEMYFO5FxY01Fbl+sk3N3Bi0eu/ouPRa6ueiaha\nl2UFUrNYhcz4NCXDCyWGJZXyTBeKdL3tOjaIYY5qgqu6r2KkMGIXuDnH4sW0GEumL3FxIB4aPMSV\nT11p16skYgmEECRj5lTshJ5A13WuXXgtjfHGqvxESyn3DxdIxnU+cf6fctXSmfbvU3FAqBi2VBkb\naz0sQhhfj6bKNQ1RPIZ3AR8DfiuEeKH02M2YCuEhIcTVwB+ADwMYhvGSEOIhYBtmRmNl1IyEM0aW\nC2ayB8zxY+meLXS97zsmW3GA6+dUFB6tOzRc+SJWkgYah4lMshxrj8VXHK6usv/CeZ0W4m4UuOOU\nyQzGGmwLD6aVr9PrbDJgZyxuNdAZGBjG6OMCwQMXP8COgzs4OnyUpniTB5cYKw2arJT/8h2TeOnQ\nRjJ6MPFuaMamRJSTLuTp8OmtsKVMBRwmUbIS63ANKHfJMp/33ArcWs6FhBXMOOsN0nrMjLMihgOe\ntFKl472i8PmV8Z5qg4XH0mMJlBKG84LETeAJd0oHJauPkMewlUKD3kCdXsfNi262+2KcsbhzbkZS\nT5oeQsmzeODiB5jaMNX39dVoV3Yq5RmtRf72Jx/yxUBcHBCKEmnn5HLVbFJfA1aOAo4gNVP5KMfI\nL+097CpSSe92D2Apl57NE0c6wRmIhjdEdNcCO+RK76lZsHAcJTTcKR2UjCGIIWiMJdGEzqfP/jSp\neIol05coh67I5dd3XXAXG/dtpHNmJ7Onzg59vRP8q1RZC72XWGoHOw4f8WWdUpXwp4PYrspMpR9g\nEluLZ3Nk78iY8aaaUQzOTePJ817S5V0kGFtM5aRSkyx6Thq/bh/09Omh05UiUbBTw2DhOEpouFOy\neulXfkrXSB/ZyS20tcxXEv3KlY6q9OWDOx4Mfb2lbKCMzE7AfFVNaK7mPCfrlB8HBGd2+nsHEbML\n8lxU59DkSvCmmlEMLal61lwznz3Zdez5kzpufdGb5/VY+WrUiYcwR3lmA179DOme592f4dgogROZ\nHDe3ZsHCsYh0YFTWN1K4032DHVevveyeQJ5JuXLRL0wIG9gLEZV1yEyIpJ7k8jPNOpt5zfOiN2v5\neQcKWnyVspLnon5heYZJiejjBmSpGcVA737Sq84nXcjTXldHrG2adwHleoMx5GqtTbuw2V2zLjNH\neTj8D+2gwxnCSHRmyl4AOb1EDYOFlYp0YHIr1vHeSuJcSVFnhoY96xnUEKUKE4Je78QXIinrgJkQ\nST3JQGGAR15+hDqtzrfGwplWtysaA/pUongy8rX/2ZzWMe2p2lEMjgVP00TX2z9LdnJrcNFJhYVJ\n8kKvuWYd6beyJq+errmKTzwc/nJGQypJVfUC+FGW1yxYWIlIB0aeHxk5VJIt56lv58ZEeQ1UzjAh\n7PWZlozLs3Eqa4A1DiudG8iR1YZtImF5JsTlZ15uj0xs0BvoHe4NLHP2ZCt89nMUT6bahqZ2FIO0\nIdIzO+gYp9SevNAvHKxjWfs5Lup639mAckbjrA+S2/Itsg0mY3A6hKKsWmPKa04izo/0E1WPQS59\nuocFqpoNVJkW9TT0ZfNOUWbJ7GxDiUg4Wx9nZNOtdqn+3Oa56Jo5nmCwMMi9z9/L/Rfd7xphv9Zn\n7GJQZiRq2FlNQ1M7imG8+Q4dEjo78upnlMSytnJYudmc8lQfpy0eY4WDMXjVyGFWPOFfsltNJt9a\nEKc3xNXPkN35JJnZHyDdcpo9P1JlfZ3i12OQVczYLKchylLuTjBQbrFe45NClY3H0y9vsjt7k3qS\n7ORW2lJtDJRo7gbyA8xrnsfNi27m8+s/z1BxiEKxQPeubq6YewUQ3vrtN3fyWISdtaMYYHz5Dh0S\nNjtSHiAiM1Cv6lzFihJAaZfolhiDZUxCVbJ7ooiMxiMwGYdee5SuS7poSaWV1leOkf1cZb+Owyj8\nHFZqsFAsYGDw9+f8Peedep7Ho/CzxvLjS/7HGXzr9yUlUBiwJ0Il9AT9BTN06N7VTefMThpiDegF\nnYHCAKu3rebBHQ96QFEnY7UMUqq8Sj9vIDC9OobCutpSDBMoLan60UG3U2YGDlaRGaidh18u0ZUx\niSWT50QraT0OxWmh67V6hBAMFgY9nlFYjOx3OFV8B0FA4vaD2218AeALG75g90jc9Zu7+KfF/6T0\n3lTWWDYeLx3aSCKWoD/fTyKWYPvB7SaVnK6TFGa59eqXTCWwqnMV3bu6Wb1ttd3T4QRFZdq2Sr3K\nQIUbgZE6SP7bKgYl4cUbWwFIS7gCeJuyvrf9e9Rr9eiazv0X3W+X6LowicQ0ezakq6R1Akqkx0v8\nJj5bHoMudI9nFBYjB7nKzsI0mQ/SSeirGjEg1+sag0eIYdAYM/k8pifm2OGNyxqX7o9N9de7n8zh\n/dQJ3fNdmtC4fM7lPPK7R0yeD2HiGFfMvcJlIJxUdzJjdaVepaxwt/3+Fd6d3O3PB1mG/PdVDPLC\nvbHVVUmZXrnZd4guAAKEEPbmk9tlO9o71EUr48jsO96iAlIt69g5s5OpDVN9rXtYjBwFOHN6COAm\n9JWLh3p6e3jg4ge48qkrAagTOkuf+hxdhTzZhjhtl3VxuWqOiMpgrOokXcjTVVdH9pK7Oappru+a\n2zyXOr2ORqEOeaw942dorEawclu/nQq3VRzl/B9fDMUIU8AiyH9fxRChkjI34zxlRmHtnrUUi0UG\nC4PoQvfWOliuYITx9tVk9h1v8WPWclYZqqy7tXZjRcwtD6VBb2CwMOgi9FWBkpZy6OntMcfT7/r/\n2zv3KKmqO99/9qnqrn7x6mqSQIuXCCiSyoBREY2xfcSEGCeaycTomsSwYpbXezGRxDtXnCSTZG7U\nZCaXUTLOeB11COaqeWpHo8RncIgQkABaPFRQFBpUKB5NQz+r9v3jPPqcffY5derZhbd/a/Xqep99\nztn7t3+P7+/7WwQDR+jIjWHja2l9OjWEISnJGDpy9WROONNzLA/xrUYpgr+QKkhpFOJqui2tMwbW\nYvwuYhewCPL/r2KwsiB2diE1YaYPuhyUUlIn4bxJ87h/y/00WSaqJ8JcRWbfMCmpYMsyrVPJkzzn\nrTb1cfvGpVKm6cTehd38DG7TOzSYNyEXLZ2q3h9ddy2NBakqBbciCIohBOIZClQOprszzz+vSgjm\n16ZiqJIPnokZ3sa5Ctw5iAXYnqCr96zmyMARvv7s103+bAG3X3C7f1IqrNc+ZaGRclZellSwpba1\nu+ZJ0ge3mUCvcaf4dunIzVeKlGRjkr+c9pecM/mcwB05sHpSadDrTqc610NJm+frrqUeW4edCIsh\nlE2BqhtdzKCUMHftKYZiSpuLFN9NUeDOahNRVZP/cO0P6c/2OyQizfFm1uxdo829+3aFEE0edSFH\nVR4lFWypnAFdGzzXyG4jqAMXVaqvIniDkpGqJzWbTWBcw9XCIF93LSAUa2EIA4n0Ugq66ALKqUAz\nMcNEYtpduD/7aNHXvfYUQxV98CgELslT5ms1uK1UbKVgU4X5INRFMBFHWciFWAElFWzlicUkM6/T\nccp83+L0NF+psKj38Zxxp3hTxBbhSaGbTZQ6DNC3vrPJZG5deyu3rLlleENQxpJcuI7/uPiXPPHq\nWj518tySFGh69x8Z6u/mqCFoHuozmcpmfKao36o9xVBFH7wUApf2lnYkkqZ4EzEjxtfmfM1pnKvu\nlD4F1DgplP8hykIuxAooCTmnIlJBe43y7nwVdA99HIpqirjIzcancJQgI+CJN+gqPXO5nFdZHuv1\njKV7y+9Z+vguNsmTuO+pl3n6xtbC7o/ruqb6B4hLSXNOEpeYG12RUnuKoYrQaG1xk3Js9TOZ3gyr\n96w2W65bcYWlFyxl0XOLfOlKdz8A3cQN2r2iLORCrYCScPQhVa2ZmOHrGKaay0DF3EO3OxWaIi5i\ns9FuHF3r6Wg/nQz5YwtHBo44m4cTg+nb4hRhYRg0PnUzt8lBBjG4LPfPzrlEUuKK251csILOzDHS\nMUlqYIjkxOLdktpTDFAVaHRQNDgTM0g3NZKKGaDpcbBgxQKn5R0UFlcInLiac823kEekbNu962t8\n8M7LO02C01ef9rZsn/+jiriHWndKpwQ0m02U+IxnU1BcgLTCE2HT1Tsdug2Dn2z4iT4obRVhJbNZ\nYr/7Ji2ilx7ZyGzxOlNaL4keKFYtoUM7SV79BB33Xmged9n8opVwbSqGKkhQx6KwNJONV3BzERYc\nVyhj56uqK4UQghIP+/ZgH1jFRdSPMf9XwD0MdKd0Fqdrs4kSn/EpvQ8vImktwkzDWLrfSQ8rARfE\n2e7QDfCDNT9wiq5+/srPPe0V04l6Oo71YhgxcvUtJIix6Kor6dy0J7Q3hUeCcDIYMHjEbFZcpBKu\nLcWg+qEV9Et1PnFQmqkp3oREMqt11nBcweIijBpXCMU2FCgjwhfZtZ5cdhBjoIdcfQtG13pSJ3qB\nPqnD+71KId5oTthpF1bEPQx0p/JYnFHiMz7FnqinIxYn0zCWy94/jqE3OzGMGN8+69tIpAfiDDjW\ng03esnL3SvqyfWZ7RWGQeuQGGBwEw8D49BIOfuCjfO6uLZF7UzjnqaYoy7Tx1I5iCICiqn5puXZK\nx3/c/UezsWg251vMM1tncv2c61ny5yUgYdEfFtFgNCAMwdILo8cVtI1T1a7FBSyWSvFFhl3bzPgU\nsQGIy0aGBiA73lSAdkT9khOmkXzgkmGlkBgLl/zYVApQEQVfrDsVJT4zufFkpDSc+EDqhI+aVlL6\nfoZ2/JyjVnHUmFzODPoFWA9u8pameBNfmv45ruo+QvKNe2HwqLmAG8ax8UAdYb0pgsSDxXlRIZgt\n4XrXjmLoWg/ZQRjogfoWbbPO/e0XlHWnTGZznsYzNm7BBi5d/cTVDGQHPL0NenO9NBuFxRW0qTyl\n2UghvmAl+CLzWSEbD9TxfbmE6YOvsr3uZL57oI7Zzf18/s6XGcoleE08yh31WQwwLYVLfgyzv1Bx\nXEoxQdV8CmV/j3VefJNY425+9pUvOIFHT+WttfMnBwedOopuQzjWQ1O8CYCYEXM+f9Xz/0ZycAAG\nj0Fds7Orz2as555GUQoQApAqMYZTO4ph/FQYMItjGDgKH7zA16yz7Dulhr9vdWMDt6691dP9CCAR\nSzCQHaAx1lhwXEGbyntrXdEBuSgT202QUg4Q1Owp4+k2JrC27kxHGbm/sylxElliGPb9clsKuizB\nCFeXhimU4fNqpCU3k727DjLjyUu86M/evZ76C7WOwu589atXfkXMiPGted/inN5+6/PW5jfvWldr\neAAAIABJREFUv8Pca6FloqfprXqvtJZcAEy9XAjT2lEMh3ZCXRMMHiWTaCb9zhpS1zxJMvO6M4Fm\nT+kv707p8sds/r4+xUJIGAnqY/XcfNbNnNp6qr68OkJcwYcCLNEXDCPucNOIA+SkLBkEZSuj/3x1\nn1NR6v5OtzGB7mtecLgznQWvaaoS2YIYofJ037UwdmhBXUzY57uHtov64LYHuX/z/U4p9ticJJnN\ngmEMf95SCrbo7qnWkqPbD1O3O7OVqSercLfzGik544wz5It/eALuPJOMzJrBnfpm4kadg0d3c/SV\nLRrfs89sXAOsbGrkprW3OiW9dvcjG7ikIxZ1Cl5cE9juSaGNKyifBTi8Yw2bctOYNWNaWQKIz2x9\nhxse2kBPf5aGuAFA31Aukt+aL36jm6QQwSJxn3PXevj1V4ctiM/d41hKYenBapene66FayH6xhKg\nvDxZDWHQ2bWXpBVs5FP/ZFpUEc7HfT9bEjHuuPI0LjI2eK5h5jO3m8TJeTAyQoj1Usozopx/7VgM\nVoRVDe64S3vLVb4L+HxfN+27IQzHQghrua6LFdg8DlHiCpkFq7jokQRDubeIG7vLkl1w73a2xWAY\ngt6BLPesep3lq98MPE4+fz3I3Qj6jmeh226SYqWljQFSvRmAwPTgSLgg3msRAroLyIB4wFEul8MO\nNpYWT/JbukMyRxxJp8ySLANepHYUA0DLRFKzv+yhVXOX9jbFmnhw24NcNfOq0otyAhqK2gSiZ08+\nO1qVXECsIEpcIRLFeoHmtBp/AFj+wk7uWfU6xwZyGAlRdGwmUtDTGq+O4dkBkP3VUtp7DrJg6/9h\naO2txF/UVERa6cGiXJBKSBGgO6fQS+NyRBHbavnFdWez68AxprQ2+Zi008YAQ5al2xxvIt1QT0eu\ndLxIbSkG/DBUMItU7HywTa5ZMg17gI+vkr6q6UtPP01drGD8VHhlhUNDHxZXyEuxXmREX935rz5n\nKstXv4mREJ7jBPW78BzfpZTcSsczSTU8g+mmBEMT2xzLT83aOCS6Gk5Ed3rQYykUGKytOggsSCxr\n2HEbGUtbnq+obtsvrjubK+5a7Y01nDKfVG/G0wcl9cUnwBWXK1ZqTjHAsKZ106qt2LmC5VuWO/ng\nkok/NDBZla48X88CMBuJbvnE48w2djDuAzM82AvbrQg6ZiAngC1lqjS1F/Sq198g1rgbEesh09vj\ni5cAeX38tpYEs6eM16c2XeNNGYI4BGZtVBJdd4GSh+Jd44JgGNB32FREAb5+rTUN3s9YPl6A26i6\nbY9t2qN143Qb6creve9BPgZLVEjq7Rfczt0v3Q2YHP7tLe2lH0QxD3VVkHZb8pUq/Hd/mg9NmOea\nfAlWXv4a4/ItZOWYoX59GStNRayHH2/+qgOEuX7O9U7NhzaWo/PxrXEHpjaV8S6ecwOyYYxjXanX\n112V6CaY1Sqsg1vMLFXXBrMO43c3etmPFSW2aVeuIiCwYqXQVLvqtl06ezLLV7+ptS5Du1u9Z/gY\nLFH9+zV71zgc/o2xRrp6upg+YXrk34tiVgaV7wb1pNy4U7nZuWmcV8pCVuMJOjahgKYk+cSzW8eb\nWPLnJU5a1iYTyevjW2kwXawh05txFi9vv2QGxDYu9SxutSeErlRZDfBqFVYu52c/VpTY7CkXlB0E\nVooUUw2r4hp0OIeofTkLlZpVDOru4gCKhIU4O7zPDOpE8KMKMSudgJFSBanrSaniKmbNmAYzioSj\nauIJmZhhLrYTzwQCUqUh5+yeRO7rKZFYLj6JWIKbz7qZcyaf48VgtM1ipUVplpyY8rhIbQvXeSap\niPX4qdVkzocK1VkFaqxBDfDmVVgBHBG11jS4mPGo1qT6XLUQQrtpFyg1pxjcGlDdXZbNX0bX/i0m\nDHXnosgBuaIQkxoz3lYa+3v6nX4E/psdMXqtWgcaFKabj9IdtW+KK9mZKP41OYfVqHnMZL7y+68A\nMJAdYFLzpFDCEZ1b0XbKfOcartzlhYergcT2lvZATkY11qAGeMHLkOQOSmaSJ5mK012YNn6qcy3a\nWibWVNPgsvWWtO532hjwx8Quvm+4TWAJwfm8ikEIcR9wKfCulDJlvdYK/ByYCuwErpBSHrTeuxm4\nBsgCX5dS/j7qYHQ+ks/n/PAiEyhSQECuqNqCAMIY3aIr+Gbrsg2KIkon6rWLzYba2l2POi++zwdq\nUf3rLa/t4LwnLyFpsRo9dumt1Bv19Of6aYg1sPCZhc5OrSMcCdylLcnHdBRGkWYIw6lSndk6UwsK\n03FHaqn9a6BnR8UzIa65k6qrI94+yRsTu/cTdGSHYOXSks4/isWwDPgXYLnrtcXAM1LKHwohFlvP\nbxJCzAKuBD4ETAaeFkKcLKXMRhmMzkcCCpqkOinarNTkrstSrxGUbXDthEcOv+rpsiQQw9mZ9HKz\nzp8m0tsfMydCmH/tgvRmGsZy64bbPbBvJBzNBjeO9aUOlcmmxg7s37D9Ww85qutcbE7EO/58RyCA\nzNNM2LUDav1phTat2j07qpIJcc2dJGPMrtvjJprXp4T6G1XyKgYp5fNCiKnKy5cB51uPfwr8AbjJ\nev0hKWU/8IYQYjswF1gdZTBBvIGFTNIgKZcZV5bKRo2bYgfv2t833dk1DWFww0du4CcbfsIP1vzA\nn53J9tI+5WMQW+rpe7D54Bp+ufDDvLXPHN84up3jpRvqyVmIyIZYA984/RvcufFOp4uSm8zUYTW2\nF6QOeWiZtUmL8TgoBbps/jK2HtjKbX+6zTmXm+be5OFEVOMLqgvijqto50oBnJ2VEHXT+M9X9zG2\nsa681oMyd5ITU3Qc2mmeexmzWMXGGN4vpdxrPX4bsFdcO7DG9bnd1ms+EUJcC1wLcOKJJwLBO4+W\nhryCO0GYOVi2oNb8H5n/p11o1tQHBOMyfRlyrkDemr1Kc9W+t+kK6XuQbLTiHpYyTSVPIv7UV5zd\ne0z9mMDYwrL5y8JxDRBKd6Z2Cb9p7k2ec1EVgdqqLSzKrs3f2ylNG+ADZSkoiioqHP27v90cqYCt\nYLHnzgdm+zlLykSIU3LwUUophRAFV2JJKe8G7gaziMp+3c53a/kSiyQ2KUSimIMlWR86irQQ4I9a\n3u1+rjZy1fU9cNJVVhesZNd6Oi++jxcOv+LZvW03xaYfa4o18TeP/81w7EGHawCP6ZrqH/AsdLVL\neJgiyOeCqFH2fC3gqlmEpevR2d03yHceSZcXR6HOHR2XZpmspGIVwztCiElSyr1CiEnAu9brXcAU\n1+dOsF6LLPt7+nngpVUM5gadXbNUYpNCpFLsSI5o4gsqRZpqxqs7o7vVu7u5qhrU6x7oJtObGc5c\nuEp1x/7VUmf3tpUAmO6JrZyA6GlCwyCZzZpRcasEGIKbt+YDNSUbk4EWJEToPFWleENQj879PWWm\nCAD/3IHiS9rzSLGK4bfAl4EfWv87Xa8/IIRYghl8nAGsjfqjzm7NIGIKNCWahjELB56tyo2uBDuS\nRzS1Fcm31jkLyk7NRmmOquat7WyATW/vaXSiTCr37u52X5riTXxp1peYP3U+C1YsGGYq6h8w6fYO\n7RxWCl3rzdfe3uSgEZOxOB0L14Hl8kVRBLqFHYR70AUptQoxeYqvF2m5JB+oKNWWYvPBtCfOUxY3\nQp07KpdmGZs1RUlXPogZaGwTQuwGvoupEH4hhLgGeBO4AkBKuVkI8QtgCzAELIyakQCFOWfX33L1\n+b1cufbvTcyCYXhJLioUWKo4MMadBh0/1fERkxa68jLFx1cbmITVctiTckz9GH+jEzVoNbWDzmkX\neOpA3O5KKG4E/Catika0JqTONQxb2Lqgo/p5t0uiy3I4ClEh+imH5AMV6QOmZZpDQT1XdPUklQ4+\nSimvCnjrooDP3wLcUsxgPLs1Y/ni+ATj3JiFT/9vs5a9wsGksgFRgsROgyroyvT2xzwLwKarD1tA\nugIvLQKuMembVElwMPa2e+LDEuhwIxBu0ioTMl/5ej7cg6oIgEhZjnTvXpNpqUQJsxBsBbpi5wpH\noUZNuRYj+xnLptxpzNZVaJaxWVNNIR/t3XrLazuGqxVV02mEOAIrIoqG9xCNagKPagWivYDVTIbb\nkvBMRisAqXbaCjXro0CQ89DDq0HEQoKOYYpg8dzFoVmOcvAfRrEQ7Pvw0LaHolkQFrFsoYs3Ek6i\nTM2aakoxALTRzXkW8aZDI2/7te8lpWCLK21JzHB2bptKToUH63YuNZNhpxfNAFxu+FgRmsb4rBJ3\nzcTUjuF7oIEgB01IXQA1jP7O/vwLe17wWwQuRaCOVU13loP/UC0+W7FzhSc4rN6HsPeb466mPEUE\nCCseGHdJzSkGXdutaqLXqibKIs1c86QHg6DGF3TPAzMZQam6CBmRU1tPDXYrpl0wXONvWx8RouBB\nAVTV0lFxCmPrx4ZaBEEcDk5quwwRett68UHRLSXmvB9AJORLuaod1Xc8G9k9rnhg3CW1pxjKGECp\naVEWab74gvpc5y5Mrxtn0sf1HdZHp1Wyk8O7SL562JMRyctx6S7j1SiazIlnesYU5qroLB23hLkg\neS2PMkToVaIgN+uz23Jz3t9yv0/JhXZUNwxvj888yquaFaO1pRjsKkHLfXCq52IpbRWh5zvHm6tR\nYHxB18fCI+4dMiiDYwendjwLj98Ij/8PAJIN4+i4fr2PjCbIZ7eRoXNaU56UYCZ5Ut4O0LoCqpb6\nlmGqPJeE1WC4FY5dRu70hdRkYTLjU2y0KmKjLChdbMEp+9fEDpz3XdfKbSk5Xcpc6MzMkT2kn/9f\npHqOkKQ5kvKyA+PuCt9KKIjaUQx5TGtdFSEw4tV0RYuG5k21ADwt9OrG+XbLsKar6XP+K6nWmd64\ngH3chnHmNbNlaMDvVgiDs3v7PIClZGPSFwB75rpVTi8JX5NbpSArrIDKrqtwi72wdBaB6vt7LI/G\nSd4NZnyKi+7akre4yQ2F33ywsOyD+r56f7Su4fp/YGhCM/HxTXRmjpnVoRGkGsVataMY8pjWuipC\nYESr6UoWJYLskMTYzzUt9Oz3ffT0atPVXY8S71rhjQvY0n46xOtdzWfrTevMLp5SsAtuwJIaANt4\noI6LTjXPIRXzN9wJKqBaPHexD2vhTutBeCwiiCZO11thYwSaN3Wx/XLhhwvOPrjfD+qUbj9/ePvD\n9OcG6TMEzUYD6ctvo6PUIGQZrefaUQx5TOvU9EvNGnM3GegHZr+34xEhfrIvqDVhJsz/EenDrzG0\n61EPO7ObWDfVliLZMhGuX+8028m0n+a1zkI4L8ICYKrpr4KzwjIKhZC56KDiycakSfWnYEOi0ryp\ni23znsOejJDqEm09sJXr51zPrp5dfHb6Z30WhOqGeWpchMGvX/u10wLRiNczecKZkV0D7T0oc4/Q\n2lEMLtM6kzyJdO9eL1loT5eeDPS9kM5UNb39fPzUQMWXzA4zMqUmzHR2SR95h+Xr+nLpLRPNprPg\nY8cO47wIDYD17CPZtV5LnqsqgmLIXOxYBOC0/vNxGmqC11GCdu7FFosf5R/T15CTWed6qS6R3bgW\n4OHtD7N8/vJQrIaDJO3ponugm1vWmBjAhJHga3/xt1Zz4GiugfZ8XikfHBpqSTGACbhRmHlU38xH\nBhqQzqyZngL5RNX0C1Z4S2ntWgTNd2xGJneVnUPekag3YxPZnJbh2r2gCiVm0SJDQzp75U0tasag\n1n3YsQjffFBp7wPQf/nQrO7Fdiz+MreszfrcHNuCEAi+98L3nO8OZgcDQWVBHBXuc23MnspQbmdB\n+ATf+ZQ5m1dbigE/fFb1zaIwONVaT4FQUd2Fzb/2Pn97E6y4yWsi5qmyS05M0eFSLjqGa7cE0acV\ntOMEdPYqtZJSrftQ54OuhWGySPSfvdgyvXFPExddBqI+Vu+wYNXF6nzVn7ZFE8Qp4b7eMttC3Hir\nNHxCGeHQUIOKwQ0YkUjmTZrn8c26DUHGTveo6UxLqoUQK4tVomr6D30O1v378HPQ19xHrbKrayb5\n0i992QVV1MBnKefh9KTEv2MWWkmpBvlUX33rga0Oh4QWa1GEJBuTeTMQj372UVb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "z0 = 100\n", "sl = (pos[:,-1] > z0 - maxbondlength / 2) & (pos[:,-1] < z0 + maxbondlength / 2)\n", "markersize = 7\n", "for label, subset in zip(['other', 'surface', 'crystal'], [np.bitwise_not(xpos|surf), surf, xpos]):\n", " plt.scatter(pos[sl&subset,0], pos[sl&subset,1], s=markersize, marker='o', label=label)\n", "\n", "plt.xlim(0,512)\n", "plt.ylim(0,512)\n", "plt.axes().set_aspect('equal', 'box')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Rotational invarients\n", "\n", "Rotational invarients give more precise information about the type of structures. However a sigle quantity if often not enough. That is why we often plot 2D maps." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "q6 = boo.ql(q6m)\n", "q4 = boo.ql(q4m)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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m7UvYvFFRtzjuZn3FejZ+Xck/tEVWBFRkJG4hrG6meLg+7mP+58hRVuXN5N0W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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for label, subset in zip(['other', 'surface', 'crystal'], [np.bitwise_not(xpos|surf), surf, xpos]):\n", " plt.plot(q4[inside&subset], q6[inside&subset], '.', label=label)\n", "plt.xlabel('$q_4$')\n", "plt.ylabel('$q_6$')\n", "plt.xlim(0,1)\n", "plt.ylim(0,1)\n", "plt.text(0.1909, 0.5745, 'FCC')\n", "plt.text(0.0972, 0.4848, 'HCP')\n", "plt.text(0.0364, 0.5107, 'BCC')\n", "plt.text(0, 0.6633, 'icosahedron')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mathieu/anaconda3/lib/python3.5/site-packages/matplotlib/contour.py:1518: UserWarning: Log scale: values of z <= 0 have been masked\n", " warnings.warn('Log scale: values of z <= 0 have been masked')\n" ] }, { "data": { "image/png": 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V7msXenzT1fzFA1AG5okQNM6ZrmOv+pK2n3iMLn/v92qcM12Nc6brHzu9ri59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\nplz5wsH6Jx/RpgW/V+cePdX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(20,6))\n", "for i, label, subset in zip(range(3), ['other', 'surface', 'crystal'], [np.bitwise_not(xpos|surf), surf, xpos]):\n", " plt.subplot(1,3,i+1)\n", " H, xedges, yedges = np.histogram2d(q6[inside&subset], q4[inside&subset], range=[[0,1.0], [0.,1.0]], bins=(50, 50))\n", " plt.contourf(H, locator=ticker.LogLocator(), origin='lower', extent=(0,1,0,1))\n", " plt.title(label)\n", " plt.xlabel('$q_4$')\n", " plt.ylabel('$q_6$')\n", " plt.xlim(0,1)\n", " plt.ylim(0,1)\n", " plt.text(0.1909, 0.5745, 'FCC')\n", " plt.text(0.0972, 0.4848, 'HCP')\n", " plt.text(0.0364, 0.5107, 'BCC')\n", " plt.text(0, 0.6633, 'icosahedron')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Without coarse graining, data is too noisy, even if the above maps could be refined by summing many time steps." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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3HP28tfP4y3t/YeKwiXTmOj2bMeWtPM0tzQCs3LWSto42erI91FBDfWII+T15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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Q6 = boo.ql(Q6m)\n", "Q4 = boo.ql(Q4m)\n", "for label, subset in zip(['other', 'surface', 'crystal'], [np.bitwise_not(xpos|surf), surf, xpos]):\n", " plt.plot(Q4[inside&subset], Q6[inside&subset], '.', label=label)\n", "\n", "plt.xlabel('$Q_4$')\n", "plt.ylabel('$Q_6$')\n", "plt.xlim(0,0.3)\n", "plt.ylim(0,0.6)\n", "plt.text(0.1909, 0.5745, 'FCC')\n", "plt.text(0.0972, 0.4848, 'HCP')\n", "plt.text(0.0364, 0.5107, 'BCC')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mathieu/anaconda3/lib/python3.5/site-packages/matplotlib/contour.py:1518: UserWarning: Log scale: values of z <= 0 have been masked\n", " warnings.warn('Log scale: values of z <= 0 have been masked')\n" ] }, { "data": { "image/png": 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eY2btiiRDzajlznu1uyq+1wCahfMzAdkNu/Q2V0dC6orMgxSi0yizFu6dyCOZ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\neMIB6ohO/f6c4vPEEp+ITkD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(20,6))\n", "for i, label, subset in zip(range(3), ['other', 'surface', 'crystal'], [np.bitwise_not(xpos|surf), surf, xpos]):\n", " plt.subplot(1,3,i+1)\n", " H, xedges, yedges = np.histogram2d(Q6[inside&subset], Q4[inside&subset], range=[[0, 0.6], [0., 0.3]], bins=(50, 50))\n", " plt.contourf(H, locator=ticker.LogLocator(), origin='lower', extent=(0, 0.3, 0, 0.6))\n", " plt.title(label)\n", " plt.xlabel('$Q_4$')\n", " plt.ylabel('$Q_6$')\n", " plt.xlim(0,0.3)\n", " plt.ylim(0,0.6)\n", " plt.text(0.1909, 0.5745, 'FCC')\n", " plt.text(0.0972, 0.4848, 'HCP')\n", " plt.text(0.0364, 0.5107, 'BCC')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can completely exclude BCC. Our crystals are a mixture of FCC and HCP.\n", "\n", "Coarse graining basically erases the signal from icosahedral structures. $w_6$ makes icosahedron pop out as very negative values." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Iwlq/5Lw+6jhDW7rw1n74Q8Vsk9mLWepCY+bYm48rLQQ8Ejki6A6Bfzg1ujxf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "w6 = boo.wl(q6m)\n", "for label, subset in zip(['other', 'surface', 'crystal'], [np.bitwise_not(xpos|surf), surf, xpos]):\n", " plt.plot(w6[inside2&subset], Q6[inside2&subset], '.', label=label)\n", "\n", "plt.xlabel('$w_6$')\n", "plt.ylabel('$Q_6$')\n", "plt.xlim(-0.055, 0.01)\n", "plt.ylim(0,0.6)\n", "plt.text(-0.002626, 0.5745, 'FCC')\n", "plt.text(-0.00149, 0.4848, 'HCP')\n", "plt.text(-0.05213, 0.35, 'icosahedron')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mathieu/anaconda3/lib/python3.5/site-packages/matplotlib/contour.py:1518: UserWarning: Log scale: values of z <= 0 have been masked\n", " warnings.warn('Log scale: values of z <= 0 have been masked')\n" ] }, { "data": { "image/png": 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dBAmVNg1sHQmoqnb5HSOfAKBY4r4Er2p1TyJ4Agqnn3AmaOgUV/iUh9DpjuUX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\nsHbbbTddccUVeve7363DDz9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(20,6))\n", "for i, label, subset in zip(range(3), ['other', 'surface', 'crystal'], [np.bitwise_not(xpos|surf), surf, xpos]):\n", " plt.subplot(1,3,i+1)\n", " H, xedges, yedges = np.histogram2d(Q6[inside&subset], w6[inside&subset], range=[[0, 0.6], [-0.055, 0.01]], bins=(50, 50))\n", " plt.contourf(H, locator=ticker.LogLocator(), origin='lower', extent=(-0.055, 0.01, 0, 0.6))\n", " plt.title(label)\n", " plt.xlabel('$w_6$')\n", " plt.ylabel('$Q_6$')\n", " plt.xlim(-0.055, 0.01)\n", " plt.ylim(0,0.6)\n", " plt.text(-0.002626, 0.5745, 'FCC')\n", " plt.text(-0.00149, 0.4848, 'HCP')\n", " plt.text(0.0034, 0.6285, 'BCC')\n", " plt.text(-0.05213, 0.35, 'icosahedron')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spatial correlation\n", "\n", "This calculation can be long and heavy in memory if you take a large maximum distance" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "maxdist = 30\n", "bounds = np.vstack((pos[inside2].min(0)+maxdist, pos[inside2].max(0)-maxdist))\n", "is_center = (pos>bounds[0]).min(1) & (pos" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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k1o4g0R/PD3/hxLiG344bXkZlaYAnV6Vng6G69eFmtPnTh+bXaLR5asOOVmZe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\nwBbgP7MbTmLMrAp4APiyuzf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rs = np.arange(1000)*maxdist/1000\n", "volume = np.prod(np.diff(bounds+[[-maxdist],[maxdist]], axis=0))\n", "density = inside2.sum()/volume\n", "shell_volume = (4*np.pi/3 * np.diff((np.arange(1001)*maxdist/1000.)**3))\n", "plt.plot(rs, g/shell_volume/is_center.sum()/density)\n", "plt.xlabel('$r$ (px)')\n", "plt.ylabel('$g(r)$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, what we are really interested in is the spatial correlation of the bond orientational order." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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iW02yrFqdQJ1zIex2yR9biz3yCQB9ctIZ3KkVua3dFVXLd3jGfj0SzY3sKSRo\nPIXKWht2i3cM3YMd3qGSoGmlG5Xpw1OQUvLpkp0s31HiujJf5vibBQwt1lV7bwvlAmOOY0SjD+E7\nq0Ge4PYJvbj4qDy++Pso/jYmn6zUBIZ0dn8O5m3UeUjaktT6XPzUViovQ8+JD6hE+ylPw4WfQ7aB\n6meo0+mkhOUfqTwNwHwD4cLZdyhZ8G9vD+3YLQTTKDgIJKNtt0tDT3ZCv/ZYYkSzGb5TXaeu+Nfv\nLaOkso4RXTzDZacNyuXzv4/ymFutP7FID//AvV+8JYZHTo/stC6tp3DK8/MY+9c1kXsxvWdgYBQW\nbi7ivplruPmT5Zz6oiqrHNrZPSdh0ZZi3luwjR3Fla6/vQdGnoLdYD8jtCfoOO9mpV827Of9hd4n\n46uOMQ7fvHGxktwuqqj1SEwz0D38ha2/Brc2Ld/c4jn0x0nuUDjjdRh6GXRz5BD+NheOut5zv1AM\n0cY58MWV8ONDULxF9UA4+c8xsOx/7r/V0rfhL0d3/IFC+OWJ+hm9wwzTKDjo1zGdTfvLqaw1DknY\n7NJwuExmagKju2UxM4pDSNo5yE5PYdEWJWOh9xSCYU+J++pW+47zs1M4d7iKOXfJSqnHSgPjUX0E\nbJY5FB91R0Rey0tpVWcUthdVcs6rC/jvb1td2yb278DUkW4P47bPV3Ln9FWMeexHet31Ld+s3OP5\nOTEayWkPQoFXSnhGc6KN9eyVKa+xctGb7v6F0d2yeOi0flxzrO94/gm923H6IBV331em8WDa9oar\nHX0Eqz4LvDY9f75nvN1otGruEGirU8NZ8lbwr+WUyVg3Cz7UNcDtWQbTr/Z83Z2OkNUHZ8PcB4w9\nmhaGaRQc9MvJQEpc0770+AofgapC2nmwij93RKfMsLYEscZxtbpwSxEdWyX5lZ+okMahmVqb+yrS\nKHy09K4TmXX96Pou1y9J8RaeOWegx7aKodPg7He9d9bG0wPIehuy4EWPu9sPVrsuGqw2Ox8t9j6B\n3D2pj6sh0ohr3l/KZm1I6cw3oM8Uz52CmSRXugNKNa+v8xT63TPbdbtjqyRev3goF4zozD/H+2/4\nmzxQ9d/o+1lo3w86j4a9qwOvzcmKj2GHLk/Q/SQ1L3rCY9DBh6KtXtTgq/8LbjSo3Q6L31C3iwph\nn4+1rvhIc+wb1fyN4k3q/rMDVO5kqcHnqYVgGgUH7tkKxkZBhY+MjcJJfdup4TvLojOE9Fepu/a9\n2qpmJSxMpYe/AAAgAElEQVTaUuxRdWTEcTVPMbnmAa/tvqqPnGGmNinxER1XOkAnwS2lj4S3VXMi\nqU/9v46JLy7g8v8uZufBSq7/8E9e/HGTx+NXjOlCu/REurVN5dWpQ7hijHEHbXm1xhvNGQRnv+25\nQzAT2ay696PxFOpsnifV+yb39fKwfOHMJZ35yu8eFxMAtMlTV9b6E70vPr8C3tCJ6Q2+CHIGqm5u\nXx3SRko3qz4P/Hpbfobtvwe3tladoW1f48dKtsOMacEd5zDENAoO2qUnkJUa7zPZbJPe1UdO0hPj\nOK5nNrNW7nE1ekUT2v6Lmjo7m/ZXcKC8NmDoaB+tWSG9ww3a96h9t/qTUaRIivc8wdXZ7Vz/oUFz\nlfbqMgyiblZi+H1zERe9sYivV3rP07htQm/X7ZP6tueOiX346jpvj6m6zkZ5jdW4WQyC8xRqdBcv\nGk9Bf5U/tk/wM5o7Z7rDfl75iGRH/kl/otezejo8lm/8WI8JgRchDXIqC14K7O0F4004sVbDkWES\nDjzMMI2CAyEEfXMyWOnDKNil74H1AJMLOrK/rIaFmw0GvDcx2tLNGqvNlU/QNq2Fgs0usTvkLTzG\ncVobxyjoa/9tdulRautekCZeb224UbA7vi6bfVQUGV00OD1QLfMKD9Dvntk8NWeDjxcKwlPQi9Rp\nPIVdJSGcHHXEWWKIdbyPVkl+xPLWf+t99V5XDUWb4KeHoVL3Peh0lCo5tQThQRqV1+5dBWum+35O\ndal7yJA/LnKUuNZVQcH5Kldy0kPG+9Ynf3IYYBoFDf06prNxX7lhlYjqU/D93ON7tSUl3sLMKNRC\nqtAkz6vr7CzcUkR2WgJ5mfWTs7bZ3fVHWqNQ20ieQpuUeF66wD1VrM5mp1imee9YF97wkZXgQjB6\n1j84nk3/PpmPr1K9AM/PLQRgllZ6/ZSnoaujAidQotlu947tx7oVY79Y6pYYm3Zct5DXu+TOEwH4\necN+XVJcYwz/dw58eils+cWdLP/0Mnh+sGqm03PqC8YlpxqklHy+dCfV+SfBeQaDh/x5UDOug+Uf\n+D0+d/zlFjUcfqUyUO37wchr4V97VK5Dy6fGM5IPd0yjoKFfTgY2u2S9Qc+Bze470QwqpHFin3Z8\nvfIvz3K+KKDS0XiWlhBLtdXGws0qnyDqqXpptUvDBHNjvu+T+3dw3bbZJYtlL16znuy5k9Yo6GPw\ngTCoJLMZfF1eOH+Q1zY9CbEWLDGCNimeUt/pGskRhl4GBeeq27uWwoJX8Mlvz8J3+oor9f+osdr4\naLFSrLfECG4e1zPg+vRkJCsP4ecN+/l0iaZbfMzNEK8zvm9Pgv+dC1UlsH6W2qb1Eo67A+4tVeNB\nAzC/sIibPl7OI9+uVxLg2bqkuK/mwS2/wpov1W3n4KXEDLjqF5j8vMpjnPOe6qa2xMFdB+D4OzXH\nFRCfrHId/fzIb7QQTKOgwZVsNuhstknfiWYnkwfmUFpVx7zC6NJsr6ixEhsjSE2MpXBfOX8dqg6Y\nZPaHXWMUtKfOxvIU9DilO76w6eL39ckp/PkebPrRONmpM4RpibGcMiCHL68dxTc3jAl4aP30uTT9\nLANnyeunl7rnLBixfYH79sSnHAdTOlA3feTOrTiHEjWETfs13kF6B/i7gVrqlp/hUV2j35BLIbu3\n29AFwa+O740rJ3LZbJi2BM76r7o/3ZEDsNvc/QWgutZBeVp37VdG6Lbtqrpp8EXKMPSe5N7fEuc7\nya03RC0Q0yhoyG2dRHpirGEFkpHMhZ7R3bLJSIqLuiqkylobKQmxJMZZWLpNzRqubz4BnJ6CE/ff\nJODAlghhdRijcnRzLbSNYcF6Cl9eC+9OCSrZ68wxFRzRit4dAmsr6SuA9Alzr0lyvvpe4jUjZYde\npk6Cceq9O0NSDzewifCmE1Wop7xG93fICFIyJK09XLsgaK2khZuLXEq+rvN1UivI6uZOTjtzLb88\nDq+MUoahWCOqHA7BQh+d4S0J0yhoEELQr2OGoQaSTeI3fAQQHxvDyf3bM2fNXqpqg+xKbQQqaqyk\nxFtIiI3Bape0SYmne9vUwE/0gV0aewqDO7U2fkKEuHRUHuCuhqqQuq5ebWdwqNVHQSR7A10k6PGY\nBYFbZ8pFjM4o+OpsTtD873SfyY6tksjPSuGcofXUe3Jw/Qnd6dkujb2HdMY02JBjiH/v3/0VaGh7\nMDb/DL86vKM9y+E5Tfju5MdCek1Dcod63l/1Gexb1/DjNiNMo6CjX8cM1u0p8yqv9NenoGXSgBwq\nam3MXbcvUksMmcpaG8kJsSQ4rlSH5bWudz4BnCdh7+qjJ8720YwUIU4ZoPIKdQ6j4OUpaE+qwUpH\nOFn+v4C7tE0LoLukQ+8pCH1eRl+Z46vaJt63Qa+otTK6e1ZQn9VAZKclePcqBOKo62D4VTDqhpCe\nVlTuNiI/b9jvXRre2REafGeyu2hA2+l88hPQOi+0tRrRcTD8Yz0UnKfuf3oZvDQiuDLhcLP6C9iz\nQuk0/fJ4o72saRR09M1Jp9ZmZ+Peco/tSuYi8PNH5GeSnZbAzCjSQqqodXsKgJfeUTDcoklYevRi\nOIzLmO5ZpCY07tCbWIcYlVMJtAZ9+EWr7BpivmPjnIC7vHHJsJAOGWeJ8ejGXrGrhCe/W++u8NGH\nPz673PhAzqvwy77z2LyjuJKSyjpSwvR/yEqNZ8XOUl7+aVPgnUGdSE96UF2xBxGGkVLyn583cfeX\nq1ijURKorLVxyvPz6H/PbB6atUZtPO1l7wPs1DTRBZHIDpq09jBC18Ow9J3wHd8Im9X9Ayrc+ckl\n8J8xStF17oOq8zqUjvJ6YhoFHb6SzTZprH2kxxIjmNi/A3PX7+NQdRNcXRhQUWMlOT7WdaVaH72j\nbppwk7Yk1Xm12xSyT87wjXtGhO7/o/UOjBqi/BGghPXsobl0rMds7imD3Jr+O4qreH5uoTtEow8f\ngZJ+1lNXqYbqdPKcr3zys0qsLkWfq6gnzqa32at1jXrX/wnpDgnsM9+CDEfeIP/YkI6/+UAFD3+z\njnd+38YSR65LS1mNldd+3aLuBMpNZIZeeuuXLF35bKgXFaFQuhMeyHT/zLrZd8+FXs49AphGQUeX\nzBRS4i2s1rmvwSSanUwemEOt1c6c1Q0coBImKmpspCQoTyEtMTaopKieZM2JxqbJKTg9BdnokxXc\nA4F8dpHLBoSP/DS7TRzQgQem9AvteH5w9ZEYGa7HDKQyaitdiWUtZY4mxcow5bNOGZBDfnYKHVvr\nXqtNPlwxF064W+k2/d9KVec/4JyQjl9TF4YT7ZBL4JJZDRv+Y0R8MqTlaO5HRuARUCW1Wv54DTZ8\na7xvI4SxTKOgIyZG0Ccn3UtG25/MhZ5BR6h5BNEip11ZayUlIZZLR+Xx4JR+ISdIAZI08fC35m91\nGQVnbqI+enMNxfk+PtPU0teNfQDG3qvuRMhT6NwmOfBENT+8cuFgj/uVNY61Gc1WMKK2wkthdNzT\nv7huOwcqhYPkeItx0URaOxjzD/dktPjk4JPQDq56z3MOc8BmSmdpKqi4/82FMOlZyPMvvrhm9yG+\nXVWPWer/WAupjpGvYZBJ8UmxQXhu5SfG+zpnZkcQ0ygY0DcngzW7D3lcgQaSudAihGBSQQ7zCg9Q\nVN7wTtqGUlFrIzk+lqO6ZnHqwPqNJPQqn3QgHA1FTeMpqP/HD5qk/q9Z50Bvx7xjD6MQ4vq0nsJ5\nH3Fr3RWuu8GKy/lifL8O3KAZ3+ryFKw+jIJ2LbuXwYENrr4EJ+v3uhsux/YOXusoEMlxsT7l5BtC\nnc3OjmJPOY7XLx5GVqp38n7nQUfHdBtN3iCtvc8RpHpOfu5Xrn5vaf0WeuWP6vfMG6BkR/2OYUTZ\nX3BgIzzR03gQkJP0jvD3hXDTWrh6Xvhe3w+mUTCgX8cMqupsbDngTjaHEj4CVYVks0u+WeUtnNbY\nVDpKUuvL0rtO9FI9dZ1iRdPlFGINdEcu++9id8K2IeGjvSvdt/NG87HNPZ40HInc/Gx3OMKlTdVl\njArN6JOctY7PYUURvHoMHNwCGcZjLW8d35MTwmgUknx5Cg1kf5nnxdJ3/3c03dqm8vX1oxnb21P7\naPSjP7KjuLJeIZziigZe4Wt1mJ7pZ5zjqQ9P9oQXhkL5X769kJxBcNMaaNsL0nOgfWQHWDkxjYIB\n/Q1ktAPJXOjp3SGNbm1TmzyEZLdLKutUSWp9EXjmFADvnEJTJJp9/T9iHGsNFD6qrQxu4Tp5hdSE\nhidytUlq1/zrpNYqidtOJ+nsVETVykJrjIJVUz6dFuYKsOR4S9hyFFq0JaiAq3KtbXoix/fyNmrr\n/yozzKPo2VdWTc87v3GNQ331l81e+2w9UMG0D5YaT8LToy8TnnVT4Oc0hHtL4UKHEF+IZb3hwjQK\nBnTNTiEhNsajVlrJXAR/DCEEkwty+GNrMXtK669a2VCqrTakbFhFihDe4SN9TqEpwkftMxKNK4CE\nY63f3Orepq8eqSqBf3eAnx91b/N1FRhj8Wg88zeYKFi6t3VrCGlVbAHvtT5bALv/hCpNhY6ms7hE\nI42e7k/ZtB4kxVuoCubkGQJfrdjNaS+pSW45GYlkJMV56ULpKaqoMZ7UpuPu6aupsdp5Y56qWtI2\not7xhfL+7p25mq9W7GF+4QHDY3jRbSwMulDdLt4Cu5YYT8wLlkCKvd3Gwh17oe9p9X+NBmAaBQNi\nLTH07pDuUZYaavgI1EQ2KWHWinokucJEueOE0zBPQXgkmrV0b5vG2UNzeeKsxm1cc3K2Ueeu01PQ\nxuj14aMqhwHQNqm9a/wlrLYpddn/G9uD9y4fwVFdsxqwYkVGchzrHhiPEHg3iBmVP67/1h1GAkhy\nlxUf0OStwhk6AmiTHM+B8hoPb6QhVNZamfbBn66BTB9eOZI/7zrRI09jdIFxoLw2oFFYsq2Ybx3l\ns3a7ZM6avfy60X3if3/hdl7/dbNLGvzx2et9z7TQcuFncOqLMHKaGun52vEw76nAz1v6Lnxwjgr7\n2azw6rGw5G2oCKKx1WDmdmNhGgUf9OuYzupdh1wfmmD7FLR0yUqhf8eMJm1kc1a2NCjkIVT551XH\nuAenOL9KlpgYHjuzwGM4S2OSl2VwohAG71UfPnKGhLRlU3uWGb7GgQp1Jd4+I4HR3RtuEJwkxlnI\nyUhiW5HuqtPIKNRVQI3DKAiLUvR08PN6JST36dUjw95AWHBEK6rr7CzdHp5Rswcr3V7NyPxMOmUm\n++y+nqhRwi0qr1Xy4COu8Wrac6ItcZ21cg9XvLPYa58HZ60l3tHEue6vMp/zUwwZcZX79m8vwOaf\n3PerS93/HyczpqnS0sfzVf/B7j9h5vUqyazFkgCTnoMz3gh+LRHENAo+6JeTQVmNlR2Oyof6eAoA\nkwo6sHxnKVt9DGaJNM7KloaMx3TawstHa2vmPXMKTcX4fu29NxrF+fS5A6fhCKJUddFWdUI0qoxp\nKB1bJXmHF42M2r61sG2eOoHcUwwpbuP08DdKm6ddevivLo/r1ZbWyXH8++u1YTle4T73ifPMIcbJ\n8l7tVWjtxD7tuPBI1X/w5vwtHKyohQmPeDXtOQlWpVc7NW+PQ5HVbpeBk9LaXghrFbxzKnz7L3io\nAzzSSfWUlGyHt05W8ue+eP0Ez/t37IEhF0P/6JDtNo2CD/Qzm+vjKYBqAAIVR20KnEnClIYYBcdv\n7fvXVx81FQmxFkZ108l2GJ1U9eGj/euNtxtw08dKjrp1gLh3fXBW99RYbdz44Z+qysapu6Ol8Ht1\nZZrgW/eofUb4jUJqQiyTCnLYtK888M5BcPGbi1y3U3x4r0M6t+H3249nyqCOPDjFXXFzw0fGnpyT\ncn1uJgjeX7iNdxds464vVzH4gTm8/dvW0EpwF7zonvBnq4Vn+sO2+fDacf6fpyUmPB3o4aJxxWqa\nEd3bpRJnEazcVcrEAR2w2YPvU9CS0yqJYXmtmbF8N9OO7x74CWFmi0MPPz2pIZ6CI6ms2eYWwmta\nowBQXqM7sRt9ybQeQW0FvH+GY3vwsfJ4f6P36klyvIU9pTZ+Kyxi+rLdHKys4+3LhqtZBPsNrs4N\nxPDys1Po3SHd1eEdbtqkxFNWY8VqsxuWAQeLfghTkp8LlQ4Z3gUEv2zwPadkxc4Sj1kSgYizCM4d\n1ol3F2zzyDvcM2M1hfvKw9qxbsiZb6kQYKil0o2A6Sn4ICHWQo92aa7qhUDjOP0xuSCHDXvLDSe6\nRZLqOhvPfL+Bvjnp9MtpuE68kVGUTewpgOrD8CCQp6CdrRCCUahP+DAQSXGqusd5QnfNmvZVu24g\n51BTZ/ca4BNOMhwVTc4xovWlx53feNwPds1jAuRxPl+6k8kvzPcKH/Vsl8btEzyH5mj/h1odKi0R\nqxbU9jxY4lVPSlbjXygGIqJGQQgxXgixXghRKIS4zcc+xwohlgkhVgshfjbap6nol5PBql2lSCmx\nhyBzoWdC/w5YYgQzlu8KvHMYeWPeFnaXVnPnxD4NklJ2+QSaQ7hKUqPAU/Cqozf0FDQnjHrKX0TC\nKCTGWzhYUcdmR6Ok62q6zEfFWrb3eM1am71BshuBcP59n/1hY72PYTSq1R5kc8tbGjXavNtmeZXw\nOsN7Tu46pQ/Trx3F7P87mquO6co/x/fizom92frIRBbc7o7nD+7Uiv8b24MhnT3ngKzcVarCePXl\n+Duhz6ne28/XzJ3WC+5FEREzCkIIC/AiMAHoA5wnhOij26cV8BIwWUrZFzgrUuupD/06pnOwso7d\npdX1zimASlAe1TWTmcv3eA5CjyD7yqp56cdCTurTjpFd6z9lDdzGQBjkFBoylyFcHN/LswM2YPWR\ndoBOCJ5Cff///kiKs1BeY+XuL5Uksutqt87HSSnVu+S0ps4WUU+hWwMGMjkxitNnpgSXuI+1xHjI\ngvy43ndJ5+NnDuDy0V0YeEQr17Zrju3K38aoyrlWjvnT5w/vhBCCG8Z255OrRrL4zrGu/fceqmHM\nYz8GtTZDep0CR9/qvV2r5JrdAo0CMBwolFJullLWAh8CevN5PvC5lHI7gJQyeibTAH1dyebSelcf\nOZlUkMP24kqW7wyhBK4BPD1nI7U2O7ef3LvBx3J6AzEGnkJTJ5oB7p7Ux3P8pFH1kd2HUQhByS82\nQuEjLa4r6su+UyqkR/7d8wlpHdCjPIXIfZXH9W3PWUNyEcKPIq0fqutsfPGn20vu2CqJL68dRc/2\naX6e5UlZtft/pjXOTgmOG8d2Z90D4zkrwMS5OEsMK+89ibsnubvGY2JE6JVlx9+lTv6djvJ+LDkT\n2veDf27z3J6YAcOugEu+Du21GplIGoWOgFZBaqdjm5YeQGshxE9CiCVCiIuMDiSEuFIIsVgIsXj/\nft/JpnDTu306MQJW7ypVKqkNOAGO69ueeEtMo8xv3ry/nI8X7+CCEZ3pktXw/gEjT0HzaIOP31Di\nLDGBp6BpPbRgPIVhf/PaFJGcgq5TvMKZNO80QqmQjn8YxmqUMQvO9dj/1437qa6zu2rvI0XfnHSk\nhNKq0KWbT31hPvfNXOO6n9MqkQLNlXww9NIYkL+/v5Ttjt6O7Y4wT5eslKCFCtMS4wz/l+P7epY3\nP28ULutzqprwdvTNcO77SqUV1BxpZxFAkiMclaCRqJ/8gvo98QnIGxXUOpuKoD9JQgiLECJHCNHJ\n+ROG148FhgATgXHAXUIIL79KSvmqlHKolHJodnZwyojhICneQre2qazafQi7nQbF5TOS4jimZzZf\nrdhdr6utUHhyzgYSYmO49rjwDh6JVk8BdOd8o7+vL3E8XzmFUTfCuR/whnWCa1M4Rlzq0cuP7Cqp\n8g4x2h0n4tH/BxZPGYupb6gSz0h6CuAux3UplgaJlNJDwfXikZ158YLBfp5hzFlDPXsalm4/iM0u\nuepd1aAWjhDXK1OHcO8kd4T7yTkbvHc6+x24QZPDyO6hms5Oexn+tQvuKXH/j7Qe6+CpDV5fYxHU\nJ0kIcR2wF5gDzHL8fBXgabsArS+X69imZScwW0pZIaU8APwCNI1egg+cyeZQBfGMmFyQw76yGhZt\nCZPSogGrdpUya8UeLh/dhewQZwj7wuUp4J1TiAZPQc/XRtr5vsJHvjwFEQO9JvKA1f1ljkT4qGNr\n745sq96oOecsxPoWhIu0pzA0rw1CGExhC4BeN2lC/w60TQu9n0Lvpd740TKOfuxHthZVkhAbExaj\nABBfn4R9/zPd3oH+HHH+xzDNu7M6mgn2k3QD0FNK2VdK2d/xMyDAc/4Augshuggh4oFzgRm6fb4E\nRgshYoUQycAIIDytk2Gib8cM9pXVUFxR2+ArxRN6tyU53sLMCDayPTZ7Pa2S47ji6PzAOweJcInf\nabaJ6PIUtEz74E/vjdIGG79XEgPBGAWDCqZIJJrbG3Qhe3mSTg0nP3o4kaw+ApUHyG2dxB9bD7J5\nf/CNbIeqPBPMAcN8IbCrRJWOzrp+TNjef9jtfo9xDS473Xeomge+WhORuRZGBGsUdgAhZUillFZg\nGjAbdaL/WEq5WghxtRDiasc+a4FvgRXAIuB1KeWqUF4n0vTLUXHBWpu93n0KTpLjYxnbux3frNxD\nXZgExrT8vqmIXzbs59pju5GeGD61TOe50PikGH1GwZC6KtWw9v5ZukSzj/CR8P5nR8JT6NcxnQd1\njVJenkLOIMdvz7CL1nhE2lMA1VC2aEsxxz8ZXOX4x3/s4MiHf/DYlp9d/yv6q3xc6HTNDp/ulj7X\nEOlQrz9+2bCfDXvLuOStP3hj3haueGext3hiBAj2k7QZ+EkIcbsQ4ibnT6AnSSm/llL2kFJ2lVI+\n5Nj2ipTyFc0+j0sp+0gp+0kpn6nf24gcfXLcyaJwXClOLsjhYGUd84KV7Q0SKSWPzV5H+/REpo7s\nHNZju2Uu1O8TerV1b40STyHgV9c5Nat8r84Q+HimQVlrJHIKQgguPNLz/2Wz6dbU/0y4cZUawqOh\nRDN2M9I5BQhdW+nhb9xO/3nDO/HzLcc26PXPHuZdWTS2d9uwlkXrjcIV7yz2+DtHmuU7Snj023XY\n7ZKL3lzESU//wpo9SmpnfmERd06P/DVzsJ+k7ah8QjyQpvk57ElLjHNV8ITDKIzpkUV6Yiwzw1yF\nNGfNXv7cXsKNY7s3eFykHueXLtYSw483H8uLFwyOKpmLoChxlAemtvP0FJwU6ebkGvyvI1F9ZMSy\nnQaKpK28T4jrNB3yjeEppCcGL5UipfRoKvzHST0arKSrlRlxliDvLw/vCXtc3/ac0KutSwp+7rp9\n/LQ+8hWPXy7bRd5tszj1xfm8/NMmCn2E6O4IQ4l5IIL6L0sp7wMQQqQ67odHHauZ0DcnnS0HKsJy\nUkiItTChXwdmrdxDdZ0tLCdwm13y+Oz15Gel+FSebAjad+00kId0Q3aiHucAncQMb6NQsh2e11XE\nOHIKlhjhCiFEInxkxMVvLmLLwyf7/dva7ZILXl/ouh/pnAJAapBG4cNF2/n312upcfRcvHj+4LAo\nzGq1nY7poaoQc1sHnsYWCikJsbxxyTCPvMmNHy3jhN5tSQtjSFbL2j2HuOFDT7G/BZuLDPftnNnw\nAU+BCLb6qJ8Q4k9gNbDa0VPQN9DzDhec4znDdaU4qSCH8horP64LT6/e9D93sXFfOTeP69kgwTJf\n+DvvR4tRCNgpbnPoHQnhbRSeMZh9KyzsL6vxiClHItHsi0Ay0HvLPGPLjeEpaEd9+ou1f7R4B4cc\nzWaPnTGAiQO8G+7qQ5zF/ffPaZXEe5eP8GxaDCP6yr1IDsoymumgNQq3TehFvuNirDG+b8H6g68C\nN0kpfwSlVwS8Bhi08x1+OGW0w3VSGNk1k6zUBGau2M2E/g37wtRYbTw1ZwP9O2YwwWi2QBgw+iBG\ni3S2k1HdAgy/0YrgGYWP9IgYvtGVtkYyfDRz2mi+XrWHl39SYazqOv96RvqTcmPkFLQzOarqbD4H\n+mjtc3Z6+KqN4nTvMZwDj/To31tGmMecgur0HvPYj4ZelHPmw5lDcjl/RCemHtk5IrOyjQj2k5Ti\nNAgAUsqfgKYZtdUE9HUkm8MVPrDECCb2b88Pa/dRVh16h6iWDxZuZ1dJFbeO79nIV+3O2czRYRRS\nEmJ57rxB3g9c9p1SpPQwCkF8uWIsHKHrIYhk9Kh/boZH1+7wh773u391nacn0Riewl+ayhej8sjX\nftlM3m2zsGqkQ0bmN0x3S0skpMt9IYSgY6sk1/+kxkDQr6HsKa1mf1kNax2JZD0jurThibMKSE+M\nIyUhNmx9R4EIuvpICHGXECLP8XMnqiKpRdAqOZ6HT+/PaYONpXbrw+SBOdRY7Xy/dm+9j1FeY+WF\nuYUc1TWT0YGulMOMjMKcgqHR7jBAVRJppaiD9BS8NkX4vWo9kUAnoWpdU1hjeAqTC3JctytrbEgp\neWrOBleX80OO6Wy7S9zGI5xFD5GaF+GL+bcdr2Zb4J5gGC6WbCs2DB+vuX+cy/lujPyBEcH+lS8D\nsoHPHT/Zjm0thvOGd6JrA2qs9Qw6ojUdWyU1SAvpzXlbKKqo5ZZxje0laIkeo2AY3omJVUljqyYG\nH5RRsDR6jXqskZCfD/RGozGMQr+OGbzjOElu3FfO6t2HeO6HjVzxzhKP/YoraslMieeTq0eG9fUt\nMYLTB3XkvcuNx3FGgmSHDMm6PWVhbR474+Xfuf+rNV7bk+NjWXv/eK4Y04XbJ0S+0siIYKuPDgLX\nR3gtLYqYGMEpBR1441c1ezbUUY/FFbW8+stmxvVtx6BOrQM/IVJEkadgKEMSE6vCR7WagrmgjILA\n1kgy5070no7dLn32RtToPAVLCAalIeQ7GsWueMct3bD3ULVXov/Ko/MZltcm7K//1DkDw35Mfzjz\nKO8uUCXNEZ/IhvKu7pjYJ/COEcLvJ0kI8Yzj90whxAz9T+Ms8fBl0oAcrHbJN6tC05MBePmnQipr\nrfATXwAAABowSURBVNx8kvfQlcYgGsNHhkNbhIBYXdNVMDkFIbjq3SWB9wsjFovn39KfUaq2er6H\nxvov5BiMySyuqOWRb9d5bAtHCWo0oPU+54apWrApu6SDIZCn8K7j9xORXkhLpG9OOvnZKcxYvovz\nRwQvOru7pIq3f9/GGYNz6d6uaXoIpRAgo80o+HggVneCCsZTaALidFf7NrvEV0jemWjukpXClgMV\nJCc0zvB3X57Lf372TDEO7xJ+L6Gp2VVSRVl1XYP7FQ7p5MeH57Vh0dbIiWSGil9PQUrpvFQaKKX8\nWfsDNK4fdxgihGByQQ4LtxSHpGny7PcbQcKNJzbl9CanzEX0jPnWhjD2So1ev5en4Mco5I2Bu4wb\nhyKNPifipYGkwTnL+YXzB/HJ1SPrpTwaKY7rmc0RbZomSRppjHoKguH3TUXMXL6bA+U1HgODAN64\nZGg4lhY2gv1GX2yw7ZIwrqPFMqkgBynhqyCaYzbvL+fKdxbz0eIdTB3ZmY6twtvN2dzRnkNPrnmY\nzac51N31noK/EZxCgCV4OYdwEqsLH93wPwO1VwdVteo9tEmJj0jsviE4mz0PF07XVB0u3xGaUVj3\n1yG+XLaL815bwHX/+5MpL873KO0FJaUz6/rRzPm/o8Oy3obi99MvhDgPNTKziy6HkAZEj7/TjOma\nnUrfnHRmLt/N5aO7GO5TVF7Dcz9s5P2F20mIjeGWcT352xjjfRuLaGteA8+cQhEZlGc6ul21noKU\n+JfPa7r3o4/M/OAjhr33UDX/+mIlAK2TQytQiDQJsTFcf0LDpKKjjafOHsg9k/pScN93PPrtOqrr\nbFxyVF5QxSHjn/nV4/7Og1Wc/Z/fAWiXnkCfDqoHqm9O9BjSQJdEvwF7gCzgSc32MpTctUkYmFSQ\nwyPfrGN7USWdNLXJ1XU23pq/lZd+LKSyzsZ5w4/ghhN6NFoTi39c2qlNugot+kSzS55c6ynYrQE8\nBfV+nF/cxkTfkOaL+zWjLcMtflhfzhySy6dLdvL0OQMjIrXS1GjFAJ/9YSMLNhfx79P7+y1TPxSg\nMfXlC4cwuCkrB30QKKewTUr5k5RypC6nsNQxL8EkDJzi0IZxDt+x2yXT/9zFCU/+zKPfrmNEfiaz\nbzyaB6f0jxKDEJ3VR/qwRZ1NIqXkYK1mjVqjMHKa90EcRkE7HW/GtFF8e+MY733DTEVNcF8pfZip\nsTlvuFuxNSdDeWG5rZPY+shETm6gbEu0IoRg40Pu0awLtxRzgmauxL0zVqtcH2qO9d/fX8KwB/13\npYdrWly4CSp4KoQ4Enge6I2Sz7YAFVLKdL9PNAmK3NbJDOncmpnLdzO4U2v+/fVaVu4qpX/HDJ44\nq4CRXcMnFXA4k5+dyi3jevL47PUAWG2SdxdsI3t7BROcF9S1le6S1HiDL6WBkWufkdgoidxe7dXX\naWzvtny/1nf5Y1OHjB4+fQA3ju3B/xZtJy8zhRs/WkaHjOhJdEcKXx3VReU1/Pe3rQD0bJ/Kmt2H\nXNpFvih8aELUelTBZtReQI3T/AQYClwENGXpy2HH5IIc7pmxmvNeW0BORiLPnDOQyQU5ERnsEg5k\nlA3ZcaJtAKuz21mz+xBHoikh3LcaZt/h2Nno5GowR6GR3mOnzGS2PjKRz5fu9GsU2jhi2U756Kag\nXXoiN45Vp4D87BR6tm8R41W8eHPeFo/O5KvfWxrU86LVIEAIAWEpZSFgkVLapJRvAeMjt6yWx6SC\nHEZ0acM/x/di7s3HMmVQx6g1CFqibYkeV3NSqXnWSN3J3+6I9VoMQnEGJbaNNVzHtYQAL+d8jy9e\nMNj/jo3EgNxWjTLPIRoxkqrwxer7xkVwJeEjWE+hUggRDywTQjyGSj5Hr6lrhrRJieejq8KrFRNJ\nnM1rUSR9BHjKK9ulpKrWRg0+mo30papgeEZubONsD5BvtjoS6I2hd2QSPpw6SjeOje7qrGA/VVNR\neYRpQAVwBHBGpBZl0nyIttPSKf07uLwXu8NTqPV17WNkFNK9lXAbK3zkxFfBrJSS2z9fwe+OASyN\nNQnOJDSM8itPnV2AEIKtj0x0hd2ilaC+044qpCop5SEp5X1Sypsc4SSTFouj+shvzX/j0zolnpnX\njQZUs9+vGw/4dmaMwkfjHvLerbE9BR+aR9V1dv63aAe/bSoiNkZEVeVXS6FHO+OKoTaanoUvp41i\n6yMT+fXW4wAY1KkVpw8O/5jcSBGoeW0lfjp9pJQDwr4ik2aBqyS1iddhhHNC3sPfKJG2GHzEY3Se\nQnXe8fywtoSJAzw7xRtzDCd4ynUc9fAPfP+PY0iOj/XQ9G/qstSWylfXjWHnwUpen7eFE3q15fK3\nlVps+/REPr5qJN+v3Uu2QwzwiDbJzL/teI8eh+ZAoNWe0iirMGm2ROPFqs+T+In3w7xnoMrRg6Az\nCn9uP8i165Zycv+TPbY3vqfgvr27tJplO0o4qmsWlTVuZVS9eJ5J4xAfG0N+dir/Pk11y3/x96M4\n7aXfkKi+A33vQXOUogmmeW2blHKbY1N3x+19mDIXLRx1oozGU5PeJrhCXJYEGHCO+wGLZ1VSjaOj\nWC9E19ihe330yLmuck1zWyTGQ5qETiiDkZoLQb0jIcQVwKfAfxybcoHpkVqUSfTjPG9FW04BvE/i\nMc41ihhI0FzJ6TwF53sprqj13N7I7pA+p+BURNWGj2ptplGIBvKzU2iVHMet45pmrkkkCDbYdS0w\nHFgIIKXcKIRoG7FVmUQ/IjoTzeB9EnetUQgo3el+wGJsFEb8+4eIri8Q+ilmTq8gWBkMk8YjJSGW\nZXef1NTLCCvB+j41UkrX5ZMQIhb/UpMmhzlu7aMmXogB+pyCh+Fqr6mNiFLXf2yfdh73qx2jNytq\ngpgYZ2LSQIL9VvwshPgXkCSEOBEldzEz0JOEEOOFEOuFEIVCiNv87DdMCGEVQpwZ5HpMGoHvbzqa\nV6cO8btPFNoEr/DRPulQokzOhOFXuh/QdS9Hi9fTISPJQ8LC9BRMGpNgjcJtwH5gJXAV8DVwp78n\nCCEswIvABKAPcJ4QwmsatWO/R4Hvgl+2SWPQrW0aJ/Vt73ef6DQKnqt6yTaZpUMegb6n6QboeO5X\nTPToO2ornh7+eh01VptHTsHEJFIEzCk4TtrvSCkvAF4L4djDgUIp5WbHcT4ETgX0YiHXAZ8Bw0I4\ntkkT4wwfxYjouLrWog9pWYlle+5kBnuVJTnut+sPwy7jzk+jR9RNa9iq6my8/dtWas2KI5NGIKCn\nIKW0AZ0d2keh0BHYobm/07HNhRCiI3Aa8HKIxzZpYuYmHA9AeXy7AHs2PkZ9CoZdwnGOgUZp7WHo\nZZThOVf4wiM78fQ5BZFYYkD0IpoHymsp1+QU3v/biEZekUlLIdjqo83AfMdIzgrnRinlUw18/WeA\nf0op7f7K/oQQVwJXAnTq1KmBL2kSDqYnTuHR4mO4ISH6JkcZfZTsRg5NVneY8gr0MFav7JeTwWmD\nmkaeQN8wV1Zd56EAm9bMumRNmg/BfrI2OX5iUPOZg2EXSjjPSa5jm5ahwIcOg5AFnCyEsEopPXog\npJSvAq8CDB06NPriFS0QIWKoIzYq9XcMPQVDqwAMPM/3cZpQcE7/dy2tqiMxzkKblHhun9DLa8qc\niUm4CDankCalvDnEY/8BdBdCdEEZg3OB87U7SCld0+eFEP8FvtIbBBOTUDH2FEK/lmhsdVQteiN2\nsKKO3zf/Rbe2qZw19AgfzzIxaTgBjYKU0iaEGBXqgaWUViHENGA2Snb7TSnlaiHE1Y7HXwl5tSZR\ng3SUbza2WFwwGK3JVg+j0JSic/qkslMuu3BfeVMsx6QFEWz4aJkjn/AJnjmFz/09SUr5Nap8VbvN\n0BhIKS8Jci0mUUQU2gQfieYmWEgDMGUsTJqKYI1CIlAEHK/ZJgG/RsHk8CcKbYKhgJ1eOiIYKmub\nroPYLD81aSqCMgpSyksjvRCT5kk0egpGyW9bPVyFsuq6cCynXpgqqCZNRbAqqblCiC+EEPscP58J\nIZrPKCGTiCGi0Fcw8hSCsQl6W1JW3XQdxKanYNJUBCtz8RYwA8hx/Mx0bDNp4TQXT8FnSaofstMM\nxnU2EiWVtYbbs1JD7SE1MQmNYI1CtpTyLSml1fHzXyA70JNMTJoCY0/B2yh89Md2rJqErnaXG07o\nzoUjOkdieUGxu7Taa9v4vu357JqjmmA1Ji2JYI1CkRDiQiGExfFzISrxbNLCaTbNawaOwj8/W+ma\n46zn2J7ZTdq81qeDpzjfM+cM5KULBtM5M6WJVmTSUgjWKFwGnA38BewBzgQuidCaTJoR0WcSjENa\nNrudvNtm8eovmzy2z123z/AYjT2XWc/7fxvB19ePcd2fMqhjkxopk5ZDsCWp9wMXSykPAggh2gBP\noIyFSQsmGs9TRp7CgXIVo3/+h0KuDGLNTd2U1zolntYp8cz9xzHsOFjVpGsxaVkEaxQGOA0CgJSy\nWAgxKEJrMmlGNJfw0Y7iSgDaZSTCIfd2X6tvak/BSX52KvnZqYF3NDEJE8GGj2KEEC45TIenYMo0\nmkRl9ZHR+dyZuM1O1VUUOfYtrvCs9okWo2Bi0tgEe2J/EvhdCPGJ4/5ZwEORWZJJcyIaT51G3kuN\nVXUn6/WMnPcufnORx/amDh+ZmDQVwXY0vyOEWIxb5uJ0KaV+gppJS6SZnDytNv99Chv2lnncNz0F\nk5ZK0CEghxEwDYGJB83l1Gn1ITDn9Cr0JqMpZbNNTJqSYHMKJiaGNJdzZ52Pjmbn8vWCeTHmN8Ok\nhWJ+9E0aRDRqHxlR59NTUL/1Dc9m+MikpWIaBZN64TyJNpdzZ50PgbkNe8tZvqMEq86TMMNHJi0V\n0yiYNIjmcu6s85NoPvXF+V7bzO5hk5aKaRRMGkRzCR+FOsnM9BRMWiqmUTCpF65z5mF67jQ9BZOW\nimkUTBrE4XrqNBPNJi0VU6rCpEFEo/ZRIBb3uoX5qwr97mOGj0xaKqanYNIgmuOpc23nC3naepbf\nfcw+BZOWivnRN2kQzfGCOpjJnKanYNJSMY2CSb1w9yk0v5On0WhOPWZOwaSlYhoFkwbRDG1CUJ5C\nc8yVmJiEA9MomLQ49DpHJiYmbkyjYNIgovWKes3947ju+G6Gj/kLH/Vol8rPtxwboVWZmEQ/plEw\naRDRaRIgOT6WWIMSIptd+g0fJcfH0jkzJYIrMzGJbiJqFIQQ44UQ64UQhUKI2wwev0AIsUIIsVII\n8ZsQoiCS6zEJP1HqKAAgvaYkOI2C2m60djO/bNLSiZhREEJYgBeBCUAf4DwhRB/dbluAY6SU/YEH\ngFcjtR6T8OI8oUaz9pFRlEhK93ajstNoDYeZmDQWkexoHg4USik3AwghPgRORTO9TUr5m2b/BUBu\nBNdjEgGi+RxqFCVatLWYRVuLAVV2qpfMjuK3Y2LSKEQyfNQR2KG5v9OxzReXA99EcD0mESCqT6IB\nqoyMehGaY9+FiUk4iQrtIyHEcSijMNrH41cCVwJ06tSpEVdm4gvn+bY5h1sMDUDzfTsmJmEhkp7C\nLuAIzf1cxzYPhBADgNeBU6WURUYHklK+KqUcKqUcmp2dHZHFmtSPaLYJgzq1BiA+1vtjLoTn2lPi\nLYCZaDYxiaRR+APoLoToIoSIB84FZmh3EEJ0Aj4HpkopN0RwLSYRIprPocf1assfd4zluJ7eFxIC\nT0/B5qxIiup3ZGISeSIWPpJSWoUQ04DZgAV4U0q5WghxtePxV4C7gUzgJUcYwiqlHBqpNZmEn2gP\nH2WnJRj2K/x/e/caK1dVhnH8/5zTQkvLpZYTPC2XWi7BgkhJIaKoQMQAJlL9gCIR1BA0AblEE9FE\nRaMRDfrBhLRgJIEEJCi1EmmiCMSqCZdCkFtBiSLQFFqCtwaU0r5+mDW703HmtJ09e/asOc8vac6+\nzDTvyjpnP7PWnr33mLTTSGF7ejCb745q012l5xQiYg2wpm3bypbli4CLqqzBqjXckdDQ6SlqY9p5\nTPBmSgWPFGy68+ciK2XIBwoAjHc6n6ydRznbY8d2s+nMoWCl5HAQHe8yfdTppPKwT4eZVc2hYKXk\nMN0y3uG3vHHs73BFc+XVmA03h4KVksMH6+ZI4UPHTRbbXntjm+99ZNaBQ8FKyWG6pTlSOGJi7k7b\nO1WeQ3vMquRQsFJyOoTOGBMXnHxYsd56ncLsmb54zQwcClZSTh+sx8bEf7duL9abtV962hHc84X3\ns/jAOVzxgaNqqs5sOAzFvY8sXzmcaG6aMSZe37qtWG9WvnzpQhYcMJt7v3hqLXWZDROPFKyUHEYK\nxfMT2kMhFe8pI7MdHApWSk7H0/Exce6yHfdobAaab5dttoNDwcrJ6Hg6PibOWHJQsV48PS6jNphV\nzaFgPWlOyeT0Kbv966Y5nQ8xGxSHgpWS82G1mRHbp35Am9m04lCwnuyYesk3FpqjnNjFYzvNphOH\ngpWSQyZ0O+RrF/vNpiOHgpWSQSZ0l4r3QMFsB4eClZLDSKGby04/EoDJ/WfVXInZ8PAVzVZSvqmw\nfOlCli9dWHcZZkPFIwUrJeeRgpn9P4eClZJTJuRUq1ldHArWkxwvXjOzXXMoWCk5ZIK/XWS2+xwK\nVopvFWE2WhwKVkoOI4WmZq3HLNiPefvMrLcYsyHlr6RaT3IKg3Z3XfbeukswG1oeKdjIO/nw+QC8\nfXK/misxG34eKdjI+/A7F/Cew+czf+7edZdiNvQ8UrBpwYFgtnsqDQVJZ0p6RtKzkq7qsF+Sfpj2\nPybphCrrsf7x1zzNRlNloSBpHLgOOAtYApwnaUnby84Cjkz/LgZWVFWPmZntWpUjhZOAZyPiLxHx\nBnAbcE7ba84Bbo6G+4EDJE1WWJOZmU2hylBYCLzQsv5i2ranr0HSxZLWSVq3efPmvhdqZmYNWZxo\njogbImJZRCybmJiouxwzs5FVZShsAA5pWT84bdvT15iZ2YBUGQoPAUdKepukvYCPA3e2veZO4IL0\nLaR3Af+MiI0V1mRmZlOo7OK1iHhT0qXAr4Bx4MaIeFLS59L+lcAa4GzgWeA14NNV1WP9lfNtLsys\nu0qvaI6INTQO/K3bVrYsB3BJlTVYNXydgtloyuJEs5mZDYZDwczMCg4FMzMrOBTMzKzgUDAzs4JD\nwczMCg4FMzMrOBTMzKzgULCezJrZ+NXxlc1mo8XPaLaeXHf+Cdz24Assmdyv7lLMrI8cCtaTyf1n\nc+UZR9Vdhpn1maePzMys4FAwM7OCQ8HMzAoOBTMzKzgUzMy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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "good = g>0\n", "plt.plot(rs[good], hqQ[good,0]/g[good], label='$g_\\ell(r)$')\n", "plt.plot(rs[good], hqQ[good,1]/g[good], label='$G_\\ell(r)$')\n", "plt.xlabel('$r$ (px)')\n", "plt.ylabel('correlation')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To average the results on different frames, it is better to sum the outputs of `gG_l` and perform the divisions at the end." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.3" } }, "nbformat": 4, "nbformat_minor": 2 }