{ "cells": [ { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "from matplotlib import pyplot as pl\n", "\n", "# Definicoes\n", "c_sobre_H0 = 2997.98 # Em unidades de h^-1 Mpc . \n", " # ATENÇÃO: para converter em unidades de Mpc, \n", " # multiplicar pelo valor de h^-1\n", "\n", "z_dec = 1090.5 # Redshift do desacoplamento. Incerteza de +/- 1.0 .\n", "\n", "\n", "# Redshifts entre 0 e z_dec\n", "z1_vec = np.linspace(0.0001,z_dec,10000)\n", "dz1 = np.mean(np.diff(z1_vec))\n", "\n", "\n", "# Fator de escala entre \"0\" e a_dec=1/(1+z_dec) e um \"maximo\" (10000)\n", "a2_vec = np.linspace(0.00000001,1/(1.+z_dec),5000)\n", "da2 = np.mean(np.diff(a2_vec))\n", "\n", "\n", "# Baryon drag para a\n", "\n", "Os dados da RCF (vejam a tabela no slide \"Cosmologia de Precisão\") implicam que a escala angular do horizonte acústico no desacoplamento são de aproximadamente $\\theta_{*} = 0.0104156 \\pm 0.0000066$.\n", "\n", "Vamos fazer agora um exercício simples. Primeiro, usando \n", "\n", "$\\chi^2 = (\\theta_T - \\theta_*)^2/\\sigma^2(\\theta_*)$ \n", "\n", "e \n", "\n", "$p \\sim e^{-\\chi^2/2}$, \n", "\n", "vamos calcular as probabilidades dos parâmetros $\\Omega_{||}$ e $\\Omega_{\\perp}$.\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "theta_star = 0.0104156\n", "sig_theta = 0.000066\n", "\n", "def chi2_pp(h,par,perp): \n", " m = par - perp\n", " L = par + perp\n", " return (theta_star - theta(h,m,L))**2/sig_theta**2\n", "\n", "# ATENÇÃO AO \"TRUQUE\"! Vetorização de uma função. Faz os códigos MUITO mais rápidos!\n", "chi2_pp_vec = np.vectorize(chi2_pp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Primeiro, vamos ver a dependência com $\\Omega_{||}$ :" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Valor de máxima probabilidade: 0.502183\n", "Dispersão: 0.00199\n" ] } ], "source": [ "Om_par_vec = np.arange(0.48003,0.524,0.00005)\n", "Om_perp_fid = 0.17\n", "h_fid = 0.7\n", "\n", "chi2_vec = chi2_pp_vec(h_fid,Om_par_vec,Om_perp_fid)\n", "chi2_vec = chi2_vec - np.min(chi2_vec)\n", "prob_vec = np.exp( -0.5 * chi2_vec )\n", "\n", "pl.plot(Om_par_vec,prob_vec)\n", "pl.xlabel(r\"$\\Omega_{||}$\")\n", "pl.ylabel(\"p\")\n", "pl.show()\n", "\n", "Om_par_best = np.sum(Om_par_vec*prob_vec)/np.sum(prob_vec)\n", "sigma_Om_par = np.sqrt(np.sum((Om_par_vec - Om_par_best)**2*prob_vec)/np.sum(prob_vec))\n", "\n", "print \"Valor de máxima probabilidade:\", np.around(Om_par_best,6)\n", "print \"Dispersão:\", np.around(sigma_Om_par,6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Agora, a dependência com $\\Omega_\\perp$:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Valor de máxima probabilidade: 0.166934\n", "Dispersão: 0.335628\n" ] } ], "source": [ "Om_perp_vec = np.arange(0.1003,0.25,0.0005)\n", "Om_par_fid = 0.502\n", "h_fid = 0.7\n", "\n", "chi2_vec = chi2_pp_vec(h_fid,Om_par_fid,Om_perp_vec)\n", "chi2_vec = chi2_vec - np.min(chi2_vec)\n", "prob_vec = np.exp( -0.5 * chi2_vec )\n", "\n", "pl.plot(Om_perp_vec,prob_vec)\n", "pl.xlabel(r\"$\\Omega_\\perp$\")\n", "pl.ylabel(\"p\")\n", "pl.show()\n", "\n", "Om_perp_best = np.sum(Om_perp_vec*prob_vec)/np.sum(prob_vec)\n", "sigma_Om_perp = np.sqrt(np.sum((Om_perp_vec - Om_par_best)**2*prob_vec)/np.sum(prob_vec))\n", "\n", "print \"Valor de máxima probabilidade:\", np.around(Om_perp_best,6)\n", "print \"Dispersão:\", np.around(sigma_Om_perp,6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Agora vamos ver esse efeito de um modo mais completo, calculando a probabilidade em função tanto de $\\Omega_m$ quanto de $\\Omega_\\Lambda$" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "98\n", "99\n" ] } ], "source": [ "Om_m_vec = np.arange(0.003,0.983,0.01)\n", "Om_L_vec = np.arange(0.001,0.990,0.01)\n", "\n", "len_m = len(Om_m_vec)\n", "len_L = len(Om_L_vec)\n", "print len_m\n", "print len_L\n", "\n", "def chi2_mL(h,m,L): \n", " return (theta_star - theta(h,m,L))**2/sig_theta**2\n", "\n", "chi2_mL_vec = np.vectorize(chi2_mL)\n", "\n", "chi2_mat = np.zeros((len_m,len_L))\n", "\n", "for im in range(len_m):\n", " chi2_mat[im] = chi2_mL_vec(h_fid,Om_m_vec[im],Om_L_vec)\n", "\n", "chi2_mat = chi2_mat - np.min(chi2_mat)\n", "prob_mat = np.exp( -0.5 * chi2_mat )\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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2YMOSpCYaROj4FuDQAZxHkiQtYm286rCWNVoRsU1EvCoivg68qo5zSJIkNd2C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\nSVJNDLQkSZJq4tShJLVM5sc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TgNWZefp8BroI1fnZPrJ83gq4hmJDZSiCjNsi4kWZ+ZU5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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.rcParams['figure.dpi'] = 300\n", "figura = pl.figure(figsize = (10,10))\n", "\n", "xy_ticks = np.arange(0,len_m,np.int(len_m/5))\n", "xy_names = [str(om) for om in np.arange(0,1,0.2)]\n", "\n", "pl.imshow(prob_mat.T,origin='lower',interpolation='none')\n", "\n", "pl.title(r\"$p(\\Omega_m,\\Omega_\\Lambda)$\",size=20)\n", "pl.xticks(xy_ticks,xy_names,size=20,name='monospace')\n", "pl.yticks(xy_ticks,xy_names,size=20,name='monospace')\n", "pl.xlabel(r\"$\\Omega_m$\",size=20)\n", "pl.ylabel(r\"$\\Omega_\\Lambda$\",size=20)\n", "pl.colorbar()\n", "pl.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Vamos dar um \"zoom\" nessa figura, sempre assumindo que $h=0.7$ fica fixo.\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "165\n", "165\n" ] } ], "source": [ "Om_m_vec2 = np.arange(0.163,0.493,0.002)\n", "Om_L_vec2 = np.arange(0.551,0.880,0.002)\n", "\n", "len_m2 = len(Om_m_vec2)\n", "len_L2 = len(Om_L_vec2)\n", "print len_m2\n", "print len_L2\n", "\n", "chi2_mat2 = np.zeros((len_m2,len_L2))\n", "for im in range(len_m2):\n", " chi2_mat2[im] = chi2_mL_vec(h_fid,Om_m_vec2[im],Om_L_vec2)\n", "\n", "chi2_mat2 = chi2_mat2 - np.min(chi2_mat2)\n", "prob_mat2 = np.exp( -0.5 * chi2_mat2 )\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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DWQ/vyAEAAFSoDOamQHuZk4R+Zwif3v5QSdLQV5Lp1n1yN4T4ye9H06xj6nYJ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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.rcParams['figure.dpi'] = 300\n", "figura = pl.figure(figsize = (10,10))\n", "\n", "x_ticks = np.arange(0,len_m2,np.int(len_m2/5))\n", "x_names = [str(np.around(om,3)) for om in Om_m_vec2[1:-1:np.int(len_m2/5)]]\n", "\n", "y_ticks = np.arange(0,len_L2,np.int(len_L2/5))\n", "y_names = [str(np.around(oL,3)) for oL in Om_L_vec2[1:-1:np.int(len_L2/5)]]\n", "\n", "\n", "pl.imshow(prob_mat2.T,origin='lower',interpolation='none')\n", "pl.title(r\"$p(\\Omega_m,\\Omega_\\Lambda)$\",size=20)\n", "pl.xticks(x_ticks,x_names,size=20,name='monospace')\n", "pl.yticks(y_ticks,y_names,size=20,name='monospace')\n", "pl.xlabel(r\"$\\Omega_m$\",size=20)\n", "pl.ylabel(r\"$\\Omega_\\Lambda$\",size=20)\n", "pl.colorbar()\n", "pl.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vamos verificar que o vínculo em $\\Omega_k$ é de fato bem forte." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " = -0.00861\n", "sigma(Omega_k) = 0.00042\n" ] } ], "source": [ "Om_k_mat2 = 1 - np.outer(Om_m_vec2,np.ones_like(Om_L_vec2)) - np.outer(np.ones_like(Om_m_vec2),Om_L_vec2)\n", "Om_k_best = np.sum(Om_k_mat2*prob_mat2)/np.sum(prob_mat2)\n", "sigma_Om_k = np.sum((Om_k_mat2-Om_k_best)**2*prob_mat2)/np.sum(prob_mat2)\n", "print \" = \", np.around(Om_k_best,5)\n", "print \"sigma(Omega_k) = \", np.around(sigma_Om_k,5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Essa região onde a probabilidade é maior coincide com a região onde $\\Omega_k \\to 0$:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Rps3GK365NM7VkjoFX3dU8rfn0HmSjpAka+0kY8zXjDFb53iuJGmvvZKlJ9etW5fDJcWh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\nGrtISZgvvUVKwhJ3ZgT1PJ8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xmin, xmax, ymin, ymax = np.amin(Om_m_vec2), np.amax(Om_m_vec2), np.amin(Om_L_vec2), np.amax(Om_L_vec2)\n", "extent = xmin, xmax, ymin, ymax\n", "\n", "fig = pl.figure(frameon=False,figsize = (8,8))\n", "im1=pl.imshow(prob_mat2.T,origin='lower',interpolation='none',extent=extent)\n", "im2=pl.imshow(np.exp(-1000.*Om_k_mat2.T**2),origin='lower',interpolation='none',extent=extent,alpha=0.5,cmap=\"binary\")\n", "\n", "pl.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nossa análise foi bastante simplificada, então a incerteza em $\\Omega_k$ acabou parecendo pequena.\n", "Mas o principal resultado desta análise é mais ou menos esse aí: **a radiação cósmica de fundo restringe muito a curvatura espacial**, resultando em algo como $|\\Omega_k| \\lesssim 0.01$ !\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "\n", "** Escala acústica na distribuição de galáxias **\n", "\n", "
\n", "\n", "Agora vamos incluir os \"dados\" de um levantamento de galáxias em redshift $z=1$, que nos dão os seguintes valores:\n", "\n", "$H(z) = (172 \\pm 4) \\, h$ km/s/Mpc \n", "\n", "$D_a(z) = (1170 \\pm 26) \\, h^{-1}$ Mpc \n", "\n", "Vamos ver de que modo essas medidas contribuem para limitar os parâmetros cosmológicos." ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": true }, "outputs": [], "source": [ "Hz1_obs, dHz1 = 172.0 , 4.0\n", "Daz1_obs, dDaz1 = 1170. , 26.\n", "\n", "# AQUI VOCES DEVEM DEFINIR A FUNCAO E(z)\n", "def Ez(z,h,Om_m,Om_L):\n", " return # np.sqrt( ... )\n", "\n", "Ezvec = np.vectorize(Ez)\n", "\n", "\n", "# Aqui definimos o chiˆ2 para o dado de H(z=1) -- lembre-se, H_0 = 100 h km/s/Mpc, H=H_0 * E(z)\n", "def chi2_Hz1(h,m,L): \n", " return (Hz1_obs - 100*Ez(1.0,h,m,L))**2/dHz1**2\n", "\n", "chi2_H_vec = np.vectorize(chi2_Hz1)\n", "\n", "\n", "# Aqui vocês devem definir a função que dá a distância de diâmetro angular de z=0 até z=z_dec; \n", "# Essa função deve retornar valores com unidades de h^-1 Mpc \n", "def Daz_h(z,h,Om_m,Om_L):\n", " # ...\n", " # ... (Atenção: aqui você pode utilizar o Ezvec definido acima!...)\n", " # ...\n", " return #...\n", "\n", "\n", "# Chi^2 para o dado de Da(z=1)\n", "def chi2_Daz1(h,m,L): \n", " return (Daz1_obs - Daz_h(1.0,h,m,L))**2/dHz1**2\n", "\n", "chi2_Da_vec = np.vectorize(chi2_Daz1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vamos reaproveitar os mesmos vetores (arrays) utilizados acima para o dado da RCF, agora para o caso da determinação da escala acústica:" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "165\n", "165\n" ] } ], "source": [ "print len_m2\n", "print len_L2\n", "\n", "chi2_mat_H = np.zeros((len_m2,len_L2))\n", "chi2_mat_Da = np.zeros((len_m2,len_L2))\n", "\n", "for im in range(len_m2):\n", " chi2_mat_H[im] = chi2_H_vec(h_fid,Om_m_vec2[im],Om_L_vec2)\n", " chi2_mat_Da[im] = chi2_Da_vec(h_fid,Om_m_vec2[im],Om_L_vec2)\n", "\n", "chi2_mat_H = chi2_mat_H - np.min(chi2_mat_H)\n", "chi2_mat_Da = chi2_mat_Da - np.min(chi2_mat_Da)\n", "\n", "prob_mat_H = np.exp( -0.5 * chi2_mat_H )\n", "prob_mat_Da = np.exp( -0.5 * chi2_mat_Da )\n" ] }, { "cell_type": "code", "execution_count": 183, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Ab0mIodFFwZXKwpVQcE3S7JBRcOWycPF2TwVX3OBQXMHVkHkb326r4IoTQaUV\nXHHmrbeCK9XgUEDBtblBxQUdFVxxFq64gqtNRq6tgiuXhRvfrumi4GqThZvDmXNzggI5IYQQQiwG\nA4x61LUqhBBCCDGnDDA2FWII9FVw5cqpMD0FV6qc2kHBlSqnFlBwxU0LxRVcqQaHDgquuJxaWsGV\nKqd2UnDlZscxPQVXssGhi4IrLqEWV3DFa30VXKl3wcAVXDnWuGvVzI4E3kJIpJ3o7q8f278P8EHC\nT8BtgJe6+xdXOqcyckIIIYQQhTGzbYB3AEcABwPHmNkdxw57BfAxd/8D4BjgnbnzKiMnhBBCiMVg\nbaOeQ4Hz3f0iADM7CTgKOC865kaWkuG3BC7JnVSBnBAzwyTz4nIKrlT9oISCKzVtrIOCK9epGm/3\nVHDFKq7iCq5Up2oHBVeb4tu0FFypamknBVdidlwJBdfmkXlxPRVcKe1WEQVXbnZcvJ1TcLXpVC2t\n4Mqda+HYC7g4+nojIbiLOR441cyeR7g/5fDcSRXICSGEEGIxKBj1bLgENvxsxUOa/pL2sa+PAT7g\n7m82s3sBHyGUYZMokBNizan/G+aycNDe3NC12aGLuSHV4NDB3JBrcIi3e5obRg0Ohc0NcRaup7kh\nHkVW2twQr/U2NySycCXMDbW1AaZgbmjKvEEhc0OceetrbmgzR66EuWFxs3Dr9wofNcd/a9khG4F9\no6/3ZjSHD/BUwj10uPuZZraDmd3aPc7fj6JmByGEEEKI8pwFHGRm+5nZTYCjgZPHjrmIqpxqZncC\ntl8piANl5IQQQgixKKxh1OPuW8zsWOBUlsaPnGtmxwNnufvngBcB7zWzFxAaH56YO68COSHWnBIK\nrtRsuBIKrnitp4KrzRy5KSm4RtfKKrg86mDoq+BqKrKl6Kvg2i166/VWcO3ZvL+EgqvWb8EUFFxx\nabW4givV4NCldNpmjty0FFyLW06dFHc/BbjD2Nqrou1zgftNck4FckIIIYRYDNZ4IHAJdI+cEEII\nIcScooycEGtCaQVXqpxaQsEV9zb2VHDlOlVhagqudKdqAQVXVE7tq+CapHDVV8G1SzwvrqeCy6O1\n0gquq+Nyal8FV6prtYiCKzUbrouCK1XuHLiCK8cAox5l5IQQQggh5pQBxqZCCCGEEA0MMOoZ4Lck\nxKwyVAVXdM6+Cq7kQODpK7hG9hdWcF0T1VD7KrjaFMGmpeAa6U7tqeCq9VuwCgquzdF7sq+CK1tO\nZYoKrpTsDwNmAAAgAElEQVR0rYuCq6n7dHx7WgquBSrNziAK5IQQQgixGAywa1WBnBDFaavgSv2E\n6aLgys2Oi4/pq+DKZOHi9ZyCq2le3Nj2tBRctX4Lyiu4av0WzJeCyzINDCPrGQVXrd+CVVBwbW6Y\nFze+3VbBlcrCFVFw5bJw8XpujlxXrZZmxs0banYQQgghhJhTlJETQgghxGIwwKhngN+SELNG25Jq\nqlzaRcGV2l9AwbVTYncXBVdcTi2s4No9GipWWsEVNzjMlYJrpAMis51RcMUNDsUVXKlyahcFV1zr\nLq7gypVT4/XcHLmmeXHjj5OCawgokBNCCCHEYjDAqEf3yAkhhBBCzCkDjE2FmAXWWsGV6kQtoODK\nzYaD9gqukXlxZRVctX4Lyiu44hLqXCm4ErPhuii4mlRbqfXeCq7U7LguCq64U7W4gitVWm26hpyC\nS+XQRgYY9SgjJ4QQQggxpwwwNhVirehrbogf39fckGtgiLd7mhtyDQ7xds7csMdSFqG0ucFStoYC\n5oY4EdTX3NDmlZ2auSE3O4725oYmQ0Nqvbe5oampIbWdMzfcEGe2Spsbcg0O8XbO3JDL6MFCmhsG\nOBBYGTkhhBBCiDlFGTkhhBBCLAYDjHoG+C0JsdpMS8EVP76vgqtNs8OUFFy5Bod4O6PgqvVbUF7B\nNVJaLazgisupfRVcqdlxRRRcif1dFFypZociCq6mpgboqOCKS5GlFVyTzJGTgksEZrK0amaHm9mX\nzezq6uNLZrZ+CuddZ2bPMrNvmtkVZnaVmX3bzF5gZjs0HH9fM3tj9fxXm9mNZvb+xLk/UO1f6ePl\nfb8HIYQQQnRk3Sp+rBIzl5Ezs0cCnyD87fThavlxwH+Y2VHu/vkep/8U8HDgPOBDhD89jgD+HngE\n8Idjxz8NeALhb7eNwB1XOPe/ARck9j0DuA3w710vXAghhBBinJkK5Mxse+AEQj53vbt/r1r/AHAm\n8C4zu62758w1Tec+lBDEfQc4xN23VOvbAt8CDjOzw9z9K9HDTgDe6O4/MLMjgC+mzu/uJwMnNzzv\nnsArge+6+9mTXreYB6al4GoqkUI3BVfXrtUOCq5J5shlFFy1fgtWQcGVmg1XQMEVV+/6KriaulPH\nt6em4IrXeiq4rkhpt0oouFKdqp0UXKlieAkFV1N36jhtFVwqpy4Ks1ZaPYLwo/6zdRAH4O7fAr4A\n7AU8uOO5D6g+n1EHcdW5twBnVF/GDfi4+9nu/oOOz1fzdMK/8/t6nkcIIYQQfdh2FT9WiZnKyAH3\nJfxpcEbDvtOBPwbuRwjqJuX79XOY2bZjGbn7EW5z/XqH8yYxs22ApxD+NPvoNM8t1poS5oZcFi5e\nzzUzpGb+FzA35GwN8XbG3FBbG2AVzA0pm0MBc8MkTQ0xTa9iU1MDFDI3RPv7mhtyDQ4wRXNDKiPX\nydzQZHCAMuaGpnlw48fK3CBGmbVA7sDq8wVmthNwEuG/7lNYuv/stl1O7O7nmNk/AC8AvmNmpxJ+\naz2E8GPtMe5+WZ+Lb+DhwD7Ah9396tzBQgghhCjIrEU9U2DWvqX6D8xfEsqsf0T4s+PtLP2hu3PD\n41rh7i8ys/OBfwD+slq+ntDs8I2u512BZxKuX2VVIYQQQkydWQvk4nrTmYQs3OXADwjlz34nN3s7\n8FTgWEKXqQGPBt4GPNrMDnH3X65wikmeax9CMHq+uzeVisXcUVrBlTpnFwVXan8BBVerOXLtFFyx\nVqu4giuh3Sqh4GqjQq/JvbK5cipMT8EVz4vrq+CK14oruHLlVJhAwZVrcIDpKbhSzQ5dFFy5Boc2\n5xogsxb1TIFZa3ao/8vd3N0vcffbuvu93f06ln6dXJN47IqY2eOB5wBvcvf3u/tV7n6lu78XeDNw\nO+C5fb+BiGcSfjMrGyeEEEKIIsxabPqT6vMBDfvq++d+3PHcDyP8+dHU0PA1QtB1j47nHqFqoHgy\n4c+cD7Z/5IZoe//qQwghhBgCF1Yfa8gqdpOuFrMWyH0NeDFwGPDWsX3rCYHY1zqeu65I7Nqwr65K\n5OplbTmKMAD4U+7+89zBS6yf0tOL6TFJObWvgqtN12pbBVeuUzVe76ngSnWqdlBwjWq3Ciu4ErPj\nSii42hSu2iq4dm5YgzIKruuj17CvgmukO7W0git+EXoruFKz4UoouFLl1KEouPZnNEFx+io//zCZ\ntdLqqYQfrw8zs9+vF83s7sCRwCXVMSOY2X3MbLOZ/dzM7p049zcJv7GeUw0erh+7PeGeOWd676pn\nVed775TOJ4QQQoi+SNFVFne/zsyOBT4GbDCzjxCCzcdRBWEJq8N2hKyaM/oHbcxbgT8DDgXOMbN6\nFt1DCWXb7wDviR9gZvclaLogDCMGuH9lmgD4qrufOPaYA4EHARvdXUouIYQQQhRjpgI5AHf/ZKXD\negXBcwpwNvAad9+w0kMZzRmPn/cXlabrpQSvah2g/QR4DfAGd//N2MMOiq6hfo4DWbpfz4ETxx7z\n9Orz+1e4VjE3tKm2T0vB1UbR1VbBldpfQMGVKqd2UHA1daeG7QIKrricOkcKrpHu1MIKrlq/Bf0V\nXLV+C1ZBwRV3qvZWcOU6VWF6Cq5UiVQKLpFm5gI5AHc/DThtguNPp8UtjNVQ3pdUH23O+0EmalYA\nd38pIVgUQgghxCwxk1FPPwb4LQkxDdZCwZVrYIi3cwquuKmhsIKraV4cdFJwxSqu4gquuA1pjhRc\nI7PjCiu4NkXdEn0VXLV+C1ZBwZVqcOik4Eo1MJRQcOWycEIsR4GcEEIIIRaDAUY9s9a1KoQQQggh\nWjLA2FSIrqy1gis1QayLgivuWiis4Bopp/ZTcMUNDqUVXB6V7+ZJwbVbXE4trOCKGxj6Kri26reg\nvIIrLqf2VnDFTQ2lFVxtyqltFVwqzTYywIHAysgJIYQQQswpysgJIYQQYjEYYNQzwG9JiEmYJQVX\nan8XBVe8VljBFc2O66vgGu1OLavg+nVULy2t4Eq9ml0UXNtFFcrSCq64U7WvgmurfgvKK7iuS3WH\ndlFwpSYDzrqCS+XURUGBnBBCCCEWgwFGPQP8loSYhEmycKXNDbnb4OPtnLnBli+Nb0/J3FBbG6C/\nuWHU4FDW3HBldEN8aXND6tXqYm4YaXAobG5INTt0MjdsymThwpMEZsrckGtgiNf7mhumkbFTJm7R\nUCAnhBBCiMVAXatCCCGEEGJWUEZOLChtFVyp0msJBVfTY6CTgmuHRINDAQVXrd+C/gqu3eJ5cYUV\nXHFTQ2kFV1NTA3RUcMUHFFZw5Roc4vWsgit+PYoruFLarS4Krt8k9kvBJWYDBXJCCCGEWAwGGPWo\ntCqEEEIIsQqY2ZFmdp6Z/dDMjmvY/w9m9l9m9m0z+x8zu7LpPDEDjE2FSDHrCq42XastFVxN8+LG\n16ek4Iq7U/squGr9FpRXcMU/HUsruFKdqp0UXLnZcdF6XwVXSsvVScEVl0iLK7hy2q14O6fgynWq\nxut9FVzqVC3OGkY9ZrYN8A7gQYSfZGeZ2Wfc/bz6GHd/YXT8scBdc+dVRk4IIYQQojyHAue7+0Xu\nfj1wEnDUCscfA/xL7qTKyAkhhBBiMVjb8SN7ARdHX28kBHfLMLN9gf2BL+VOqkBODJy+Cq7U40so\nuHKlV2it4MqVU2FqCq7RTtR+Cq4dohJqaQVXXFotreBKdap2UnDlOlWZnoKrqTsVOiq44k7V4gqu\n3JBfaK/g6joQuEuZNHdcfKzKqbPGhm/Dhv9a8ZCmX0LesAZwNPAJd0/t34oCOSGEEEIsBgWjnvWH\nho+a4z+w7JCNwL7R13szegdwzNHAs9s8rwI5MXD6KrhSWq4SCq42zQ4tFVy52XHxdk8FV1q7NbmC\nq3FeHBRRcMXz4koruFINDp0UXKlmhwIKrhEVV18FV67BAaao4GrT7NBWwZXKwknBJSbmLOAgM9uP\nUGc4mnAf3Ahmdgfglu5+ZpuTKpATQgghxGKwhlGPu2+pOlFPJTSbnuju55rZ8cBZ7v656tCjCY0Q\nrVAgJ4QQQgixCrj7KcAdxtZeNfb18ZOcU4GcGCBt3tZtFVy5cmm83lfB1dTUAJ0UXE1NDantngqu\nuNmht4IrLqcWVnClCm4lFFxN8+Kgo4IrMTuuhIJrpMGhr4Ir1eBQRMHVNA8utS0F10IxwKhHc+SE\nEEIIIeYUBXJCCCGEEHPKAJOMYnFp6jRNMYsKrrgo11PB1aZrdUoKrlSnaicFV6qcWkDBlSq+lVBw\njTSf9lVwNcyLgzIKrlq/BVNQcOXKqTBFBVdqdlwXBVeqU1UKrrlkbQcCF0EZOSGEEEKIOUUZOTHn\nlDY3TNLs0NfccLPE/g7mhlyDA0zN3NDU1AAdzQ252XFMz9wwSYNDX3NDbW2A/uaGOAtX2txQWxtg\nCuaG1Gy4IuaGeBpgX3NDKmNXwtygLFxxBhj1KCMnhBBCCDGnDDA2FUIIIYRoYIBRzwC/JbFYlFZw\npWa/lVBwxfXSngqu1By5AgquUe1WTwVXosGhhIIrp9+C6Sm4do6aGnoruKK10gqu6+J5cX0VXPGL\nUFzBFTc1zJOCS+VUMTkK5IQQQgixGKhrVQghhBBCzArKyIk5JPe2TZVTaVjPlUtznajxdl8FV3St\nfRVcya7V6Su4RjtVeyq44k7VASm4LHVABwVXrd+CVVBwxd2pfRVcTfPioJCCK17rq+CKj5OCa+4Z\nYNSjjJwQQgghxJwywNhUDJe25obU/i7mhtwEsXi7p7lhXSIL18XckMzCTd/csHuchetrbogbHIZk\nbogbHHqaG+KmhuLmhqbMWzjx8vWcuSGVhStibmjK0kE3c0Nqpp3MDWI2UCAnhBBCiMVggFGPSqtC\nCCGEEHPKAGNTMSzWWsHVRtE1JQVXrpwab+cUXPG8uMIKrlq/Bf0VXB7VSwel4Eo0MHRRcG2O6rTF\nFVxN8+Kgm4IrLqcWV3Dlyqnxek7BlSuRTnKsyqlrzgCjHmXkhBBCCCHmlAHGpkIIIYQQy/EBDgRW\nICdmnC4KrlQ5tYuCK1cujbd7Krhy5dR4O6fgijpVSyu4av0W9FdwxaXV0gquNq/s1BRcqU7VDgqu\ny8l3rU5NwRWXU/squBr1W+M7pqXgypVTx7drmrpOU+VQKbjEbKBATgghhBALwZYBRj26R04IIYQQ\nYk4ZYGwq5p++Cq5cORXaK7hS/YwFFFypcmoXBdceS6Wn0gquZDm1g4Lr8iuXLQFlFFxNryAUUnDl\nhgDTXsF1RaJrtYiCKy6h9lZwxaXI0gqu1Lugi4JL5dAhoYycEEIIIYSYGQYYm4r5ZVoKrlRbUhcF\nV66BId7uqeDKNTjE2xkFV63fglVQcDWpuKCTgiu+n760givX4ABTVHAlZsd1UXBtSjQ7FFFwpbRb\nnRRcqSxaCQVXmwYHKbgWkRu2Xc381Y2r8izKyAkhhBBCzCkK5IQQQggh5hSVVsUaU0LB1bXZoWl/\nrvQab/dUcOUaHOLtjIKr1m/BKii4Ll1a66vgisuppRVcuQaHeL23gitRTu2i4Gpqahhfn5qCq6mE\nCh0VXLlyKkxPwdVmjlwXrZbKqfPOlnWrGfb8b/6QKaCMnBBCCCHEnKKMnBBCCCEWgi3bDs/RpUBO\nrDElFFyp2XBdFFyTdK32VHC1mSPXUsEVd6oWV3A1lFDHt9squOLu1NIKrriEWlzBtWfz/i4Krs0N\nKi4opOCKS6u9FVxtSqvTUnC1mSPXVsGVK6fGx6qcKlYfBXJCCCGEWAi2JMdTzS8K5MQaUNrckMrC\ndTE3pLJwBcwNuQYHaG1uiJsWipsbUg0OHcwNcRautLkhlYUrYW7waK2vuSHZ4FDC3JBqduhkbojX\nSpsbUlk2mRvE8FAgJ4QQQoiF4IYBZuTUtSqEEEIIMacoIydWiUnmxc2Sgis1bayAgis5R25yBVes\n4iqu4Eo1OHRQcLUpvk1LwZWqlpZQcNX6Leiv4No8Mi+usIIrW05lAgVXbnZcvN1XwdXUtDC+LQXX\nIrJlgGGPMnJCCCGEEHOKAjkhhBBCiDlleDlGMWPUb7FcORWmp+DKzY6Lj5mk9FpYwdU0L25su62C\na1TFVVjBFZdTeyq44lFkpRVc8VppBVet34L+Cq5avwWroOBKlVM7KbjiEmppBVfXEqnKqUNniONH\nlJETQgghhJhTlJETQgghxEIwxIycAjlRmLVQcKX2d1FwxWuFFVxxObWngmt0rayCy6NW1L4KrqYi\nW4q+Cq7dordeaQVX3KnaV8FV67dgFRRcca27t4Ir1alaQsHVNPh3/HFtFVwqp4rZRoGcEEIIIRYC\nZeSEaMVaK7hSDQxdFFzxLfGFFVwj8+L6KbjSDQ4FFFxRFq6vgmuSfEdfBdcu8by4wgquJtVWaj2n\n4Lo6zsKVVnDFDQ69FVyp2XAlFFzKoonFQYGcEEIIIRYCKbqEEEIIIcTMoIycmBKzpODKNTDE2zkF\nV3T+0gquPZbKQX0VXCP7Cyu4rolqqH0VXG2KYNNScI00NRRWcDWptlLrWQXX5ug9WVrBdUNcouyr\n4EpJ10oouHKlWWjf5KDS7JBYa0WXmR0JvIWQSDvR3V/fcMxjgVcBNwLfdffHr3ROBXJCCCGEEIUx\ns22AdwAPIvzZfJaZfcbdz4uOOQg4Dri3u19jZrduPtsSCuSEEEIIsRCscdfqocD57n4RgJmdBBwF\nnBcd83TgBHe/BsDdNy87yxgK5ERP2iq4Uv95Sii42nSttlVwZcqp8XpPBVet34L+Cq5avwXlFVy1\nfgvmS8FlmU7UkfWeCq5U12onBdfmhnlx49tTU3DFpci+Cq5cOTVel4JLDJK9gIujrzcSgruY2wOY\n2VcJ5dfj3f3fVzqpAjkhhBBCiPI0ZTx87Ot1wEHAYcC+wBlmdnCdoWtCgZzoSdtMXCrLVsLc0LXZ\nocHcsFNidwFzQ21tgP7mht2joWKlzQ1xg8NcmRtGOiAy2z3NDVekbA1dzA2pLFwRc0Mqh9rF3JDL\nwsXrfc0NysKJZkqWVs/ecC1nb/j1SodsJARnNXsz2mJWH/N1d78RuNDM/ge4HfCt1EkVyAkhhBBC\n9OQe63fkHut33Pr1Px6/7Pa2s4CDzGw/wk0tRwPHjB3z6WrtQ1Wjw+2An6z0vDM5R87MDjezL5vZ\n1dXHl8xsfc9zfsDMbsx8vHzsMSsd+6iG57ivmb2xut6rq+Pe3+e6hRBCCDEdbmDbVfsYx923AMcC\npwLnACe5+7lmdryZPbw65t+BK8zsHOA04EXuftWyk0XMXEbOzB4JfIKQ/P9wtfw44D/M7Ch3/3zH\nU/8bcEFi3zOA2wBNNxReCPxTw/oPGtaeBjyBUI/YCNxx0oucD2ZdwZWSN3VQcOVmw8HUFFy1fgv6\nK7hq/RaUV3DFJdS5UnAlZsOVUHDlGhxgAgVXanZcEQVXk4oLuim4UqXVpmuQgksME3c/BbjD2Nqr\nxr7+K+Cv2p5zpgI5M9seOIHwP3O9u3+vWv8AcCbwLjO7rbvnbq9ZhrufDJzc8Jx7Aq8kDN07u+Gh\nF7r737R8mhOAN7r7D8zsCOCLk16nEEIIIcqw1gOBSzBrpdUjCLeEf7YO4gDc/VvAFwituw+e8nM+\nnfDv8L6+J3L3s929KVMnhBBCCDF1Zi00vS8hZ35Gw77TgT8G7kcI6npTTVl+CqFO8NHEYbcwsycT\nAszNwAZ3P38azz9f9FVwxY8vreBK7e+g4Mp1qsbbPRVcsVarr4LLUtqtAgquuKLXV8HVpt94agqu\n3Ow4pqfgitd6K7iaulNT270VXLlOVWiv4Mp1qsbbfRVcuU7VNucSQ2SNBwIXYdYCuQOrzxeY2U7A\nSYQ7Q57C0v1tt53i8z0c2Af4sLtfnTjmroxl68zsQ8AzupR4hRBCCCGmxawFcvUf278klFn/iPBn\n09tZuo9654bHdeWZ1flTZdXXAR8DfgzsQMgGvhF4IuHPz7+Y4rXMIJNk4XLmhvjxpc0NuQaHeD1j\nbsg1OMTbPc0No7aGfuaGkYxcYXNDnIXra25IzY4rYm5I7C9hbhhpauhrbmhqaoBC5obUbLgu5oZJ\n5sjJ3CDKMMSM3KzdIxf/hj+TkIX7JqFDNBdJTPZEZvsQgsXz3b2plIu7v9zdv+fu17r7Fe7+GUJw\neR3wNDPbvelxQgghhBCrwaxl5Oq/KW/u7pcQlVGrUiuMTjjowzMJweFETQ7u/iMz+wZBn3EI8Lkp\nXQ+wIdrev/oQQgghhsCF1YeYJrMWyNXTiw9o2FffP/fjvk9iZtsCTybk1j/Y4RT17cY3W/GoiVk/\n3dP1pk0StK2Cq6lECmUUXKn9HRRck8yR66ngampqCNsdFFyp2XAFFFxx9a6vgqupqWF8e2oKrnit\nsIKr1m/BFBRcqQaHIgquXIMDtC+dNjU1jCMF17DZn9EExemrfgUqrZbna4TfsIc17FtP+B/5tSk8\nz1GEAcCfdfef5w5u4C7V59SAYSGEEEKI4sxaIHcqIX/wMDP7/XrRzO4OHAlcUh0zgpndx8w2m9nP\nzezeLZ7nWYSg8L2pA8zs7ma2Y8P6iwnus/OBpgHCQgghhJhB1lLRVYqZKq26+3VmdiyhU3SDmX2E\nEGw+jpCpe05i5Md2hEKKM1qxWYaZHQg8CNhYOc1SHAs8ysy+TCj5bgvcEziUULh4grvHOXvM7L4E\nTReE4cUA96/MFABfdfcTV7q+2aCEgitXTo3X+yq44op3TwVXTrsVb/dUcMUqrt4KrpSWq4CCa5Lu\n1JimV7GpOxUKKbii/aUVXLV+C6ag4EqVVosouFKdqF0UXE3z4MaPlYJLiEmZqUAOwN0/WemtXkHw\nlkLIfL3G3Tes9FBG//eneHr1OSez/wzhR/7dgAcCNyH8enwP8Hp3v7DhMQdF11xf04Es3d/nwBwE\nckIIIcTwGKKiaya/I3c/DThtguNPJz3IbPzYlwIvbXHcp4FPt72G6jEfpFvzhBBCCCHExMxkICfW\ngtIKrtQ5Syi44vbTngquVgOBp6PgijtVeyu4EtqtEgquXEEtJvfK5sqpMD0FVzz4t7SCa6t+C/or\nuHLlVJiigivuTu2r4Ep1rZZQcKk0K5pR16oQQgghhJgZlJFbaFZTwdWm2WFaCq54raeCK9XgUEDB\nNdrU0FPBlZgdV0LB1Sbf0VbBtXPDGpRRcF0fvYalFVxb9VvQX8EVvwjFFVypyYBdFFypLFwJBZey\ncKIZZeSEEEIIIcTMoIycEEIIIRaC1ZzvtlookFtoJimn9lVwtVF0TUvBZcuXxrfbKrhS5dQCCq5R\nFVdPBVdcTp0jBddIU0NhBVet34JVUHBtypRTw5MEcgquuMGhuIIr18AQr+cUXKkSqRRcQvRBpVUh\nhBBCiDlFGTkhhBBCLAQaCCwGQlsFV6r02qUrNdeJGm/3VHDtkOhU7aLgapoXB0UUXLvF8+L6Krh+\nHq3NkYJrZHZcYQXXpqjttbiCK349+iq4Up2qRRRcv0ns76LgypVThRBdUCAnhBBCiIVgiONHFMgt\nDGttbkhNECtgbmiaFze+3tbcMJKFK2tuqK0N0N/c4FHWZ57MDbvFWbjC5oa4gaG4uSHOrPU1N8RZ\nuOLmhlyDQ7yeMze0ycLJ3CDEpCiQE0IIIcRCMMSMnLpWhRBCCCHmFGXkBk1fBVfq8V2aHVL7Cyi4\ncuVUaK/gimbHlVZw7RCVUPsquH4d1UtLK7hSr2YXBdd2UYWytIIrbnAoruCKGxz6KriuSzUVlFBw\ndZ0jJwWXmE2GOBBYGTkhhBBCiDlFGTkhhBBCLASaIyfmjL4KrpSWq4uCK9fPGG/3VHDlZsfF2xkF\nV63fgvIKrsZ5cdBJwXVl1NlYWsGVerW6KLhGOlULK7hSXatFFFy5TlWYUQVXqpzaRcE1jdKrSqpC\njKPSqhBCCCHEnKKMnBBCCCEWgiGOH1EgN0impeDKlUvj9VwnatNjoIiCq6k7NbWdUXDV+i1YBQVX\nXE7tqeCKu1NLK7iaulOho4IrPqCwgivXqRqv91ZwpTpVOym4UtotKbiEWEQUyAkhhBBiIVBGTsww\ns67gatPsMCUFV5tmh5YKrripobiCK5WF66DgijNypRVcqQaHTgqu3Oy4aL2vgiul5Sqi4Mpl4WAC\nBVdOuxVv91VwpRocuii41OAgRAkUyAkhhBBiIRhiRk5dq0IIIYQQc4oycnNNaQXXJM0OOQVXrvQK\nU1Nw5RocoLWCa7SBobCCKzc7jvYKrri0WlrBlWpw6KTgyjU4MD0FV1NTAxRScKVmw3VScOVmw8H0\nFFyp0muXMmnuuPhYlVNFGaToEkIIIYQQM4MyckIIIYRYCKTo6oCZ7e3uG0s/z2JSWsGVmv3WRcHV\npmt1Sgqu1By5DgqutHargIIr0anaRcEVz4srreBKdap2UnClulYLKLhGVFylFVzxi9BbwdWma1UK\nLiEWhdUITV8KPGcVnkcIIYQQIskQu1aLBHJmtgvwWODxwL1RIDdF2rxk0zI35BoY4u2cuaGpqQGK\nmBuSzQ6TmxviZofi5oa4waGnuSGVpylhbmiaFwcdzQ2J2XElzA0jDQ6lzQ1N8+Kgo7mhaR5caruv\nuSE+TuYGIWaRqQVyZrYDcBTwOOAIwo+uj5MoGAghhBBCiH70DuTM7HDgz4E/qc53MvBo4BR3v8HM\n1vd9DiGEEEKIvqi02szDgSOBDwMvdfe4cIC7b5jCc4jGBoUU01Jw5SaIxdu5Zoa4KFdYwZUsp06u\n4Eo1OBRRcMUNDj0VXKniWwkF10jPQl8FV8O8OCij4Kr1W7AKCq5UObWTgis1O66Egis1004KLiFm\nhd6BnLv/pZm9iFBOfbGZ/Qr4tLv/EMDM7uru3+n7PEIIIYQQfdBA4ATufoO7f97d/w/wTuBeZvZa\nM3s+cMI0nkMIIYQQYp4xsyPN7Dwz+6GZHdew/4lmdrmZfbv6eErunFPvWnX3XwEfqi5obyB7ESLF\nWvPsKV8AACAASURBVCu42ii62iq4bpbYX0DBFc+L66ngaupOhTIKLo/qpX0VXJN0qvZVcNX6Leiv\n4IrLqaUVXLV+C1ZBwRWXU3sruOJpgKUVXJNotVROFbPPWg4ENrNtgHcADyLcbHOWmX3G3c8bO/Qk\nd39e2/MWVXRVg4CXRZxCCCGEEAvGocD57n6Ru18PnESY9jFOm5vht1I8NHX3U0o/x3BZa3NDG9F9\n22aHOM1W2NwQNTj0NTeM2hrKmhvijFxfc0PO2gDTMzfsHDU19DY3RGulzQ3XxfPiSpsbkkOYupgb\n4qaG0uaGVBatS2ODsnBi7VnjrtW9gIujrzcSgrtxHmVm9wd+CLwwZ8eaKCNnZuvM7M5mdlcz225s\n3wFm9idmts8k5xRCCCGEWACasjM+9vXJwP7uflfgNOCDuZO2zsiZ2bOA17D0d/avzOwE4A3u/gvC\nnUD7Ah82szu7x7PYhRBCCCHWlpIZuYs2XMhFGy5a6ZCNhDipZm9GB1Ph7vFduO8FXp973laBXNVZ\n8brqyysIufTfAV4CPMPM/trd3w+cbmYfAd7T5ryiidxLkiqn0rDeV8GVug2+i4IrutbSCq49lkpP\nfRVcow0OZRVcl1+5bAmYfQWXpQ7ooOCq9VuwCgquuKmhuIIr/qO7r4IrXiut4FI5VIi27Ld+f/Zb\nv//Wr796/FfGDzkLOMjM9iMkv44GjokPMLM93P2y6sujgB/knjcbyJnZ7YFXAq8F3unuP6vWdwYe\nADwC+DszexIhsGtze44QQgghxKqylvfIufsWMzsWOJVwa9uJ7n6umR0PnOXunwOeZ2aPIMRSVwJP\nyp23TUbuWcBT3f1jYxd0DfBZ4LNV2XU98KeEtOEP235jQgghhBCLQNUAeoextVdF2y8DXjbJOdsE\ncrcaD+IaLmwL4aa80yZ5cjHOOvKdqqn9JRRcuU7UeDuj4FqXKKcWUHDV+i3or+DaPS6nFlZwxY2R\nc6XgijtVeyq44u7U4gquphJqOPHy9d4KrlQ5tIuCq6ncClJwCbGYtAnkNuUPEUIIIYSYbRZV0XVj\n8asQQgghhBAT0yYjt5+Z3cTd/zd/KJjZbYC93f2sfpe2iKxUVl0LBVeu9BpvZxRcuXJqvN1TwVXr\nt6C/gqvWb0F5BVdcTp0rBVeiE7WLgmtzVKctruBqGvwLhRRcuXIqtFdw5cqp8XpfBZfKqWJYrKWi\nqxRtvqMzgfeZ2VPcfdn/zmow8EOAxwK3J/wYPILmyEMIIYQQQkyJNoHce4EXAf9tZu8Dvg9sD+wH\n3Ac4kvBn3yuBJwNPIARyojdNM+NSWbgSCq5Jmh0yCq5cFi7e7qngihsc+iq4av0WlFdwxYmgvgqu\nNnK1qSm4Ug0OHRRcl5NvdpiagivOwhVXcLXJyLVVcOWycOPbNV0UXLksXHyssnBi9lljRVcRsoGc\nu19nZo8EvgS8oeGQDwEvcg+/rszsVg3HCCGEEEKIKdOqWOzu3zaz3yXMNjmUkJH7LvA2d/8mgJkd\nBDyfkKl7S5nLFUIIIYToxkJm5GrcfSPw7BUO+SnwPHcfF8CKicgpuHLlVJiegitVlOug4EqVUwso\nuOKmhb4KrmQ5tYCCKy6n9lVwNUnUoJCCKzc7jvYKrisSzQ5FFFxxCbW4gite66vgSr0LpOASYhGZ\nWvtG265WIYQQQoi1YFHnyAkhhBBCiBlkeANV5p6cgiv110QJBVeqKNdBwZXrVI23eyq4YhVXbwVX\nk4oLiii42hTf2iq4cp2qMEUFV2J2XBcF16ZE12oRBVdKu1VEwZWbHRdv5xRcbTpVpeASYlFQICeE\nEEKIhWBRBwKLVWM829Y0M65rs0MXc0OqwaGDuSHX4BBv9zQ3jBocepobLl1aK21uiEeR9TU35Boc\n4vXe5oZEFq6LuaGpqWF8fWrmhqbMGxQyN8SZt77mhjZz5GRuEGJRUCAnhBBCiIVgiONH1OwghBBC\nCDGnKCM3Uxh5BVdqNlwJBVe81lPB1WaO3JQUXKNrPRVcDSXU8e1pKbiaimwpcq9sXEItruDas3l/\nFwXX5gYVFxRScMWl1eIKrlSDQ5fSaZs5ctNScKmcKoaFMnJCCCGEEGJmUEZOCCGEEAvBEDNyCuRm\njlxXaqqcWkLBFfc79lRw5TpVYWoKrnSnagcFV6pTtYCCa5LCVU7BlSqnllBwebTWV8GV7FQtoeBK\nda0WUXClZsN1UXClyp1ScAmxiCiQE0IIIcRCMERFlwK5mWIds2VuiM7Z19yQnCM3fXPDyP6+5oZU\ng0MBc0Ob3Elbc0MqyVbC3FBbG6C/uWHzyLy4wuaGbBaOKZobUq6OLuaGpqaF8e1pmRuU0RNi1lEg\nJ4QQQoiFYIhmB3WtCiGEEELMKcMLTecao3uzQwkFV6acGq/nFFxN8+LGtqel4Kr1WzAFBVdcTp0j\nBVe8VlrBVeu3oL+Cq9ZvwSoouFLl1CIKrlw5NV7PzZHrqtXSzDghhogCOSGEEEIsBEMcP6LSqhBC\nCCHEnKKM3EyxjryCK7W/gIJrp8TuLgquuJxaWMG1ezRUrK+Cy6NW1HlScO0W/dFZWsEVd6r2VXDV\n+i1YBQVXXOsuruDKlVPj9dwcuaZ5ceOPk4JLiCaUkRNCCCGEEDODMnJCCCGEWAg0EFgUZh15BVeq\nE7WAgis35BfaK7hGBv+WVXDV+i2YgoIrKqfOk4Jrl3jwb2EFV5NqK7WeU3BdHZdTSyu44k7V4gqu\nVGm16RpyCi6VQ4UQS8xkadXMDjezL5vZ1dXHl8xs/ZTOvauZ/b2Z/dDMfmNmm83sa2b2mIZj15nZ\ns8zsm2Z2hZldZWbfNrMXmNkODcffuMLHo6Zx/UIIIYToxhbWrdrHajFzGTkzeyTwCcLf0B+ulh8H\n/IeZHeXun+9x7gOArxBu3z4d+CQh4XFn4A+Bj4895FPAw4HzgA8R/hQ+Avh74BHVY8a5EPinhvUf\ntLjCsa9zE8QKK7hyDQ7xdk7BtcdSFqG0gstS2q0OCq5rotRbaQVXm1e2rYJrpKmhsIKrSbWVWs8q\nuDZH78nSCq4b4sxWaQVXrsEh3s4puHIZPZCCS4jFYaYCOTPbHjiB8NNlvbt/r1r/AHAm8C4zu627\n55r+UnyIEMQ93t3/Zey5tx37+lBCEPcd4BB33xId9y3gMDM7zN2/MvYcF7r733S8PiGEEEIUQl2r\n5TmCMKjis3UQB+Du3wK+AOwFPLjLic3sEOC+wCfGg7jqOcb/hD2g+nxGvK/aPqP6cleEEEIIIdaI\nmcrIEQItZylQijkd+GPgfoSgblKOrM79cTO7JfAoQiHpQuAL7n7N2PHfr6/JzLYdy8jdj1Cg+XrD\n89zCzJ5MCEg3Axvc/fx2l7hSs0OToquwgivX4BBvZxRctX4Lyiu4RkqrPRVctX4Lyiu4UrPjuii4\nLNPAMLLeU8GVanbopODa3DAvbnx7agquuBRZWsE1yRw5KbiEEO2ZtUDuwOrzBWa2E3ASoV/tKcAF\n1b7bdjz3navPOwPns3RrkQFXmdlj3f20+mB3P8fM/gF4AfAdMzu1OvYh1WMf4+6XNTzPXYH3xQtm\n9iHgGT1KwkIIIYToiUqr5akTDr8klFn/CHgCcDeWpjvs3PC4NtyKEIi9Cfg0sB8hIHsaIV31r2Z2\nq/gB7v4i4NmEAPMvgecDBwEfAL7R8Byvq651Z0Ke41HAj4EnAm/reN1CCCGEEI3MWkYubts8k5CF\nu5zQ8Xm/nueug9afufvTo/X3m9ndCAHb0cC7tl6M2duBpwLHAv9WXd+jCUHZo83sEHffWsBx95dH\n570W+IyZnQN8D3iamb3a3eNpZWOspOhqq91KHdtBwTXJHLmMgqvWb8EqKLhSs+E6KLjiTtXSCq6m\n7tTx7dYKrpFW1sx2TwXXFSntVhcFV6qcWkTBlSqGl1BwNXWnjtNWwaVyqhBd0UDg8tQ/gm/u7pcQ\nlVGrUiuM/g6dhF8Sfqqd2rDvK8BzgN+Lnu/x1drfuvv7o2PfW40xOQ54LvDalZ7U3X9kZt8ADgMO\nAT6XPvrTsPVNdifgD1b8hoQQQoj54cLqQ0yTWQvkflJ9PqBhX33/3I87nvvC6nNTIFj/PR8nRR5G\nCPyaGhq+Rkhr3aPlc9f5hJuteBSPId/MkJr5X8DckLM1xNsZc0NtbYBVMDekbA4dzA3xm6W0uaGp\nqQE6mhsSs+FKmBtyDQ4wgbkhNTuuiLmhyeAAZcwNTfPgxo+VuUEMnf2rj5rTV/0KVnNQ72oxa/fI\n1QHSYQ371hN+wn2t47nPqs59+4Z9deB4SbRW/y5tGjESN0q04S7V5wtWPEoIIYQQYgJmLZA7lZA3\neZiZ/X69aGZ3J4wPuYSG0qiZ3adSbf3czO6dOPcXCH+3P9LMDo4ee1PgWYQg8YvR8d8kBGrPqQYV\n18dvT7hnzon+nDCzu5vZjg3X9mLgdoRO2bNX/vaFEEIIUYotbLtqH6vFTOUY3f06MzsW+Biwwcw+\nQgg2H0cVVCVGeGxHyJI5o/XI+NzXmNlfAe8Fvm5mnyBUyx5K6ET9F3f/avSQtwJ/BhwKnGNm9ey6\nhxLKvN8B3hMdfyzwKDP7MqFEvC1wz+rxVwNPcPe4ZpL4NiZpYCis4Go1R66dgivWahVXcCW0W10U\nXHFFr7SCK1dOhQkUXLnZcUxPwRWv9VZwNTU1pLZ7K7hyDQ4wPQVXqtmhi4Ir1+DQ5lxCiKEwU4Ec\ngLt/0syOAF5BGD0CIZP1GnffsNJDGf2p2HTu95vZZcCLgEcC2wM/Al4MvHns2F9Umq6XEryqT6t2\n/QR4DfAGd49/4n+G8GvybsADgZsQQov3AK939wtXujYhhBBClGWIc+RmLpADqAbznpY9cOn406Hd\nq+PuX6ClGcLdrwZeUn3kjv00oe1UCCGEEGJVmMlAbnEZV3Q1bec6VeP1ngquVKdqBwXXqHarsIIr\nMTuui4IrLqeWVnDt3LAGHRVcif0lFFwj3al9FVxN3alQSMGVmg1XQsGVKqdKwSXEajLEjNysNTsI\nIYQQQgwSMzvSzM4zsx+a2XErHPenZnajmWUHyiqQE0IIIYQojJltA7yDoCA9GDjGzO7YcNxOBOHA\nmW3Oq9LqTHFTunetFlBwpcqpHRRcTd2pYbuAgisup/ZUcMXVu9IKrpHu1L4KrnitsIKr1m/BFBRc\nqU7VIgquXKcqTE/BlSqRSsElxGqyxoquQ4Hz3f0iADM7CTgKOG/suNcAryc0YmZRRk4IIYQQojx7\nARdHX2+s1rZiZncF9q4aM1uhjNxMsR15BVfc1FBYwdU0Lw46KbhiFVdxBdfPo7WeCq5Jmhpiuii4\nRmbH9VVwRftLK7hq/RZMQcGVysgVUXClGhhKKLhyWTghxGqwxoquJhvU1h8IZmaEUWhPzDxmBAVy\nQgghhBA9uXbD2fx6w4oCp43AvtHXezOamrg54d65DVVQtwfwGTN7hLt/O3VSBXJCCCGEWAhKjh/Z\nYf092WH9Pbd+vfn4fxw/5CzgIDPbjzA862jgmHqnu19DVGOpTFEvdPf/Wul5FcjNFCs1O9SFubhr\nobCCa6Sc2k/BFTc4lFZweVS+66vgyhXUYvoquHaLy6k9FVzxvLjSCq6t+i3or+DKlVNhigquuKmh\ntIKrTTm1rYJLpVkh5hF331JpSE8l9Cic6O7nmtnxwFnu/rnxh6DSqhBCCCFEYK0HArv7KcAdxtZe\nlTj2gW3Oqa5VIYQQQog5RRm5mWI78gqueK2wgiuaHddXwTXanVpWwfXrqF7aV8HVpnA1LQXXdlGF\nsq+C6/rotSut4Nqq34L+Cq74RSiu4EpNBpx1BZfKqUJ0ZY3nyBVBGTkhhBBCiDlFGbmZYqVmhzrN\nZsuXxrenZG6orQ3Q39wwanAoa264MsrezJO5YaTBoae5obY2wCqYGzZlsnDhSQI5c0Pc4FDc3JBr\nYIjX+5obppGxUyZOCLEcBXJCCCGEWAjWeCBwEVRaFUIIIYSYU4YXms41NyWr4Noh0eBQQMFV67eg\nv4Jrt3heXGEFV9zUMFcKrviAngquTVG3RHEFV/x69FVwpRociii4fpPYLwWXEENlrcePlEAZOSGE\nEEKIOUUZOSGEEEIsBEPMyCmQmyluTlbB1TQvbnx9SgquuDu1r4Kr1m9BeQVXXFqdKwVXbnZctJ5T\ncMWdqMUVXHGJtK+CKy6nFldw5TpV4/W+Ci51qgohyqBATgghhBALwZYblZETRbkZWXNDLgsHUzM3\njDYw9DM37BBl3kqbG+KMXF9zw3aJ7SLmhlyDA+3NDXGDQ3FzQ9zg0NfccF2qqaCEuaHrHLku2bXc\ncfGxysIJIdqjQE4IIYQQC8ENNwwvI6euVSGEEEKIOUUZuZliJ7IKrtzsuHi7p4Irrd2aXMHVOC8O\niii44nlxfRVcqQaHIgquVLNDBwVXqtmhiIIr1+AAM6rgSpVTpeASYqhsuWF4YY8yckIIIYQQc4oC\nOSGEEEKIOWV4Oca5xvIKrqbu1NR2TwVX3LXaW8EVl1MLK7hSBbcuCq6m7lQopOBKzI7rouDKdarG\n670VXKlO1U4KrpR2SwouIUR/tqjZQQghhBBCzArKyAkhhBBiIRhiRk6B3CyxzvIKrjZdq1NScKU6\nVTspuFLl1AIKriYZE3RTcKU6VYsouBoG/0I3BVdKy1VEwZUrp8IECq6cdive7qvgSnWqSsElhJgf\nFMgJIYQQYiG44Xpl5ERJbklewZVrcICpKbiamhqgo4IrNzuO6Sm4JmlwyCm4Ug0OJRRccRaur4Kr\nqakBCim4UrPhOim4crPhYHoKrlTGroSCS1k4IUQZFMgJIYQQYiG4ccvwwh51rQohhBBCzCnDC03n\nmZ3INzOk5sgVUHCNard6KrgSDQ4lFFw5/Ra0V3ClGhyKKLiitb4KrhEVV2kFV/wi9FZwtWl2mEcF\nl8qpQswEA+xaVUZOCCGEEGJOUUZOCCGEEIvBADNyCuRmiVuSV3Alu1anr+Aa7VTtqeCKO1XnSMHV\nNC8Oyii4av0W9FdwjXSqllZwNc2Lg44KrtQUwBIKrvg4KbiEEPOJSqtCCCGEEHOKMnKzxHhGLjtH\nrqy5Yfc4C9fX3BA3OMyRuWGkZ6GwuSFuauhrbqitDbAK5oZUFq6TuSE1O66EuSE1007mBiEGyw2W\nP2bOUEZOCCGEEGJOUUZOCCGEEIvBAJPkCuRmiVuSV3DF8+IKK7hq/Rb0V3B5VC+dJwVXrd+C8gqu\nWGjfV8FV67dgFRRccTm1t4Ir1m6VVnDlSqSTHKtyqhBibVAgJ4QQQojFYIB/Z+keOSGEEEKIOUUZ\nuVlipTlydSku6lQtreCq9VvQX8EVl1ZLK7iaSqjj220VXDtH3amlFVyXk+9abavgui6eF1dawdWo\n3xrf0VbBFXenllZwpcqhUnAJMVgG+F9VGTkhhBBCiDlFGTkhhBBCLAa5ks4cokBulrg1eQXXHkul\np9IKrmQ5tYOC6/Irly0BZRRc8Zu6r4LLUgcUUHBdkeha7aTgirtTiyu44lJkXwVXvFZawTXAGosQ\nYuFQaVUIIYQQYk5RRm6WWDZHbrmCq9ZvwSoouJpUXNBJwRXfT19awZVrcIAJFFxxg0NhBdemRLND\nJwVXU+YtnHj5em8FVyqL1kXB1ZSlAym4hBBToc34yDlDGTkhhBBCiDlFGTkhhBBCLAYDTKIrkJsl\nbk1WwVXrt2AVFFyXLq31VXDF5dTSCq5cg0O8nlVwJRoYSii4mpoaxtdbK7ia5sVBIQVXrpwK7RVc\nuXJqvN5XwaVyqhBi/lEgJ4QQQojFYIB/h+keOSGEEEKIOUUZuVliD7IKrrhTtbiCq6GEOr7dVsEV\nV/RKK7jiEmpvBVeqU7WAgmtzg4oLOiq44nJqcQVXm9JqWwVXrpw6vl3TRcHVpn1NM+eEGBRr/F/Z\nzI4E3kJIpJ3o7q8f2/9M4DmEH1C/BJ7h7uetdE5l5IQQQgghCmNm2wDvAI4ADgaOMbM7jh32UXf/\nPXe/G/BG4M258yojN0vc2rPmhrhpobi5IdXg0MHcEGfhSpsbUlm4TuaG3Ow4pmduSDY4dDE3xJm3\n4uaGeK2vuSH1LpC5QQgxBdb2x8KhwPnufhGAmZ0EHAVszbi5e1wD2Qm4MXdSBXJCCCGEEOXZC7g4\n+nojIbgbwcyeDbyQcCfRA3MnVSAnhBBCiMWgZEbuvzfA9zesdIQ1rPmyBfd3Au80s6OBVwJPWumk\nCuRmiT08q+CKVVzFFVypBocOCq42xbdpKbhS1dJOCq7E7LgSCq7NI/Pieiq4UtqtIgqu3Oy4eDun\n4GrT4CAFlxBiBrnL+vBRc9Lx40dsBPaNvt6b0d++43wMeHfuadXsIIQQQghRnrOAg8xsPzO7CXA0\ncHJ8gJkdFH35cOCHuZMqIyeEEEKIxWANk+zuvsXMjgVOZWn8yLlmdjxwlrt/DjjWzA4nTOS6Cnhi\n7rwK5GaInXbfnFVwjaq4Ciu44nJqTwVX3IZTWsEVr/VWcCXKqSUUXLV+C6ag4GoqoUIhBVdcQu2r\n4GozR04KLiHEfOLup/z/7d17+CRVfefx9wfCVbmJAQUVgVEQL6gIIiiOER1EI4IRZXFFELwAedas\nuJusbpSwqwFMoiuoCQIBXB0FNvKAyqLcBAQdNI+4gnJxBoHhNgMOqAwC890/TjVTv7aqq39dXd3V\n3Z/X8/TTPVWnq+tXv5r6nT6nzvkAO3Ut+0Tu9Yfnu01X5MzMzGw2VM04P4FckWuRLZ+ysjK5Ye6y\nZpMbIjeCoW5yQ1HbTJm6yQ2d1AYYQnLDNsXrm0hu6KQ2wBCSG/Itco0nN5QNcBikxa2feeSGldzg\nVjgzm3yuyJmZmdls6CeZb8J41KqZmZnZhHKLXItsqRWVEVzlAxwaiODKdafWjeCaT8dV3Qiup+Xn\ni6sZwRW5ZU1HcK3Kd6fWjeAqG+zQSARX2dxwg0RwlXV3OoLLzIZgCi8bbpEzMzMzm1BukTMzM7PZ\nMIUtcq7ItcjTWVkZwTVnfcMRXA/l+lDrRnD1839nWBFcc0an1ozg6sRvwQgiuFbkxuvWjeCq7E5l\niBFcZaFrg0RwFY0+7X49rAiuKbyim9nMaWXXqqR9JV0uaVX2uEzSwiFte0tJ/yDpZkmPSFoh6RpJ\n7ygou7ekk7PPXyVpjaQzemx7Y0mfkvRLSaslPSDpu5LeOIx9NzMzM8trXYucpAOB80htCudkiw8F\nvifpgIj4Vo1tbw98nzQ72JXA+aRGn12A1wHndr3lSOA9pAm17gR27rHt9YDLgd2BnwKnApsDfwFc\nLOndEfHVQffdzMzMaprChvhWVeQkbUCqAD0OLIyIG7LlZwLXAV+UtGNEDDo389mkSty7I+JrXZ+9\nbkH5U4GTI+JGSYuA7/TY9mGkSty3gbdGxJpsuycC/w58TtI3I+L3ZRvYivsqI7g68VvQfARXJ34L\nJiuCSxUjUecsr4jg6sRvwQgiuFYUTPzb/brfCK6y7tRGIriqulPzy6smBB40VsuT/5rZbGpb1+oi\n4BnAhZ1KHEBE/JhUQdoWeMMgG5a0O7A3cF53JS77jD/6SxAR10fEjX1+xOtJfy1O6VTism3cDHyD\ndDvX/oPsu5mZmQ3B4yN8jEirWuRIFa0AripYdyXw58CrSZW6+dov2/a5kjYHDiK1xywDvh0RD/V4\nbz86zTF3Fay7HRCwB6nbuNDW3FsZwbV1blKxpiO48gMcJiqCa84IiIrXFRFc+QEOjUdwlbXCDRLB\nlW8ibTyCq6oVLr+8ah65ovniut/nCC4zs462VeR2yJ6XSnoqsJg0HeoRwNJs3Y4DbnuX7HlT4BbW\n/rkX8KCkgyPi0gG3DWv/3G4D/Kxr3XbZ8/Y1tm9mZmZ1TOF3urZ1rXYaYB4mdbPuTxps8DLWNgRt\nWvC+fmxBqrR9BvgmqXL1NNKAho2Bb0jaovztlS7Ntn+0pCdvdpK0M3AwqXlgk5L3mpmZmc1b21rk\ncnd7cx2pFe4+4EZSl2odnUrr8og4Krf8DEkvA44G3gV8ccDtnwN8CHgLcL2kK0gVxbcDV5Pu7VtT\n+m5SDFdVBFcnfguaj+DKd6FOVARXydxwg0RwFUVtlS2vHcFVNnfcIBFc+QEOjUdwlXWtFu1DVQSX\nu0PNrEFTeFlpW0Wu8ydpk4i4i1w3atbVCnPrFPPxMOmvxCUF674PHAO8ZMBtExGPZnPdfYJ0/90x\nwD3ASaRpSd7A3D/Jf+R7n7yOzbMiuyx8Os9eOOjemJmZtc2y7GHD1LaK3K+y56J7yTr3z9024LaX\nZc9FFcFOO8ZGBev6FhEPA8dljydJ+mD28ue93r/vJ/fkuU/eCghwR53dMTMza5HnZo+OK0e/C4NO\nXtZibavIXQN8FNgH+FzXuoWkFrVrBtz2ElLX7fML1nUqjkUjTofhUNK+X9yr0NbcWxnBpbLYrQYi\nuPLNh3UjuMpitxqJ4KqaO47+I7iKorbKlteO4CoanVr2uiqC6/F8F2XTEVxVI1Xzr6siuKq6ZsER\nXGZma7VtsMMlpLu53ixp185CSbuRpg+5i4KuUUl7ZVFb90t6Vcm2v03683egpBfm3rsR8EHS1b/X\nhL+VJG1WsOw40rQql0fET+ps38zMzGp4YoSPEWlVi1xErJZ0LPB14ApJXyFVNg8ltaYdU5LqsB6p\n8SaYO01ZftsPSfoIcBpwraTzSN2sbwIWAF+LiKvz75G0N2lUK6TJiAFekyVNAFwdEafn3nK2pE2B\nG4BHSS2Le5AGbRxe9fNvxb2VyQ1zWuQaTm7It8LVTW4omzuukeSGkvWDJDeUDXZoJLmhaFADDJjc\nkG/Bajq5YT7zyDm5wcxsmFpVkQOIiPOzOKyPk6YeAbgeOCEiruj1VuZezYu2fYake0j3sB0IbADc\nSurO/aeCtyzI7UPnM3Zg7f16AeQrcheRWvcOA9YnTQR8InBiROT/NJuZmZnV1rqKHEA2MW/fF3sD\ntQAAHDRJREFUk/NGxJVAUVZqUdlv02cyREScBZw1j/04jdTiZ2ZmZm0zhQ32razIzaqtua86gqts\nbrgGIrjyvXd1I7iKBjV0vx5aBFd+Wc0IrpVlsVtNRHCVDXAYKIKrrDO8iQiuokEN3fqN4HJ3qpnZ\nfLgiZ2ZmZrNhCr/ztW3UqpmZmZn1yS1yLbJV3FcdwVUWy9VABNd8RqfmFUVwFY1OhYYiuHLr60Zw\nVY1UhSFGcJV1rQ4UwVUUxQXNRHAVzQfXXdYRXGbWAlN42XGLnJmZmdmEcoucmZmZzQZHdFmTtvrd\n/dURXCWxW01EcFV1qOVVRXBVdafC8CK48hP/1o3gyi9rPIKrqjsV5hHBVTVSFYYXwVU2anWQCK5+\npkN3BJeZWYcrcmZmZjYbRhidNSquyLXIhsv7iOAqmTuuiQiufto7+o3g2rRgGTQTwdWJ34L6EVxz\nBjU0HcGV/yXUjuAqmxuuiQiuslY4R3CZmTXNgx3MzMzMJpRb5MzMzGw2TGGDvityLaLlVEdw5btT\nJyiCa86ghoYjuDrxW1A/gqsTvwUjiODKD3CoHcFVNcABhhfBVdZF6gguM7OmuSJnZmZms2EKvxP6\nHjkzMzOzCeUWuTa5j+oIrvtzyyYogmvO3HENR3Ddmxv2WjeCqxO/BSOI4CobqTpQBFfZSNQmIriq\nulPNzFpiCicEdoucmZmZ2YRyi1ybdA92KHgduVafSUpu2CrfCtdwckN+AEPd5IYnUxug+eSGfCtc\n7eSG/KCGppMb+mmF6ze5wS16ZtagKZwQ2C1yZmZmZhPKLXJmZmY2G6awod8VuTa5j8oIrt/n+kub\njuBar+T1IBFc6+V6KJuO4MoPcKgbwfVk/BY0H8G1umxQwSARXGUzA7Y9gmsKr7JmZg1yRc7MzMxm\nwxR+V/Q9cmZmZmYTyi1ybXIflRFcD+RGNjYdwVU2UnWQCK45I1UbjuAqG7U6UATXvRXdqelDklZF\ncFWNRM0vrxvBNYyu1yn8mmxmNgKuyJmZmdlsmMIJgV2Ra5N7qUxuyA9qaDq5oWhQAwyY3JAv0HBy\nQ9UAh/zyyuSG/O+j8eSGsrSGQZIbHilZ7+QGM7NxkbQf8FnSrW2nR8SJXev/CjiSdOG+HzgiIu7o\ntU3fI2dmZmaz4YkRPrpIWgc4BVgEvBA4RNLOXcV+AuwWES8FzgdOrvqRXJEzMzMza94ewC0RcXtE\nPAYsBg7IF4iIKyOi0/VyHbBt1Ubdtdom91VHcOW7VpuO4Cob4DBQBFfV3HG55XUjuMpiuQaK4Mp3\nkTYewVUVu5V/XRXBVTXAIb+8bgSXBziY2YQY72VnWyDfTXonqXJX5n3Ad6o26oqcmZmZWV0rroCV\nV/QqoYJlUbAMSe8GdgNeW/WxrsiZmZnZbGiyRW7zhenRcfPx3SXuBJ6T+/ezgOXdhSTtC/wNsE/W\nBduTK3ItEg9UR3Dlu1abjuAqG6k6UARX1UhVhhfBVTQ6FQaM4MqPVG08gqtqbjjoP4Jr0HnkBukm\nrSqXL+vuVDObWUuABZK2A+4G3gUcki8g6WXAl4BFEfnZZMu5ImdmZmazYYzzyEXEE5KOBS5h7fQj\nN0k6HlgSERcBJwFPAc6VJOD2iHhbr+26ImdmZmY2AhFxMbBT17JP5F6/Yb7bdEWuReKB6giu/MS/\nTUdwlY1UHSiCq2zUagMRXHOiuOpGcFWNVIUhRnD1M2q13wiusu5UR3CZ2Qzr506QCeN55MzMzMwm\nlFvkWuS+B6ojuMraaZqI4CqaLw4GjOAqmTuuiQiuOQMc6kZwlQ1waCSCq2g+uLLXjuAyMzNX5MzM\nzGxWTOH3U3etmpmZmU0ot8i1yEqqI7jKOt+aiOCaM2ahbgRXwXxx0EwEVyd+C4YQwVXVnQpDjOAq\nmztukAiusgEOjuAysxk2hZclt8iZmZmZTSi3yJmZmdlsGOOEwE1xRa5FHqA6gms+I1XrRnB14reg\nfgRXvju16QiuTvwWDCGCq2xuuEYiuPKzAdaN4Crrem0igsvdqWZm4+KKnJmZmc2GKZwQ2BW5FnmQ\n6uSGflqFh5XcsGluUEPt5IbcsqaTG1bn54urm9yQ/yU0ntyQH9QwSckNboUzMxsXV+TMzMxsNkzh\n906PWjUzMzObUG6Ra5GHaFcEl8oKDBDB1YnfghFEcOUHNdSN4CqaLw4aiuDKL6sbwZUv5wguM7Np\n5YqcmZmZzYYp/P7qrlUzMzOzCeUWuRb5PS2L4MqPVK0ZwZUfndp4BFdRF2ra8B8vr4rgKutObSSC\nq6i7FQaL4Cqb084RXGY2w6ZwQmC3yJmZmZlNKLfImZmZ2WzwhMDWpN/SsgiukpGog0Rwrcj10zYe\nwVU08S8MFsGV705tPIKrqjs1v7wqgqufq5UjuMzMJp0rcmZmZjYbpvC7qCtyLfIHqu/DLGp56349\ntAiusgEOA0Rw3Uf1YIehRXDlW+HqRnAVxm91rxhWBFdVK1z3646iwQplrWiO4DIzmyauyJmZmdls\nmMLvpR61amZmZjah3CLXIv18Ucj/whqP4KqaO47+I7hWlgx2aCSCK9+FWjuCK98V2XQEV9kZMEgE\n1xR+7TQzq8vzyJmZmZlZW7giZ2ZmZjah3LXaIr06w4pitxqP4CqZO26QCK57S0atNhLBVRa7NVAE\nV1l3aBMRXP2MVHUEl5nZwKZwQmC3yJmZmZlNKLfItVhRckPVAIf88trJDSWtcIMkNxQNauhePrTk\nhqKWNxgwuaGqFQ6Gl9zQzzxyg6QxuBXOzAyYykucW+TMzMzMJpRb5MzMzGw2TGGLnCtyLVMVwZXv\nQm08gmub4vWDRHCtKIjigoYiuPJdq7UjuPrpWh1WBFc/88j1G8HVzx29nnPOzGzSuSJnZmZms8ET\nApuZmZlZW7hFrmWqIrjKulObiOCK3LK6EVylI1WbiOAqG7U6UARXflnTEVxl3aWO4DIzGwrPI2dm\nZmZmbeEWuRbZiOrkhrJGtiaSGzqpDVA/uWHFnPniGk5uqGyFYx7JDVVzx+Vf101uKBq00P3ayQ1m\nZraWK3JmZmY2G6K6yKRx16qZmZnZhHKLXIusR3UEV35Z0xFcnfgtqB/B1YnfghFEcJV1pw4UwZXv\nQm06gmvQLlJ3p5qZzSq3yJmZmZlNqFZW5CTtK+lySauyx2WSFg5hu2t6PA6qU17S0yV9QdJ1ku6R\n9Iik2ySdK+nldffdzMzMrFvrulYlHQicR+o0OydbfCjwPUkHRMS3an7EMuBfC5bfWLP8tsB7gR8A\n3ySNsXwmcBBwkKTDIuIrvXZsI6ojuDrxW9B8BFd+pGrdCK5O/BaMIIIrH7tVO4KrbKRqExFcRfPF\ndb+v3wgud6eamc2CVlXkJG0AnEr6y7MwIm7Ilp8JXAd8UdKOEVEnZGNZRPxdA+VvBLaIiEfzCyWd\nAPwM+Kykr0XEFE5HaGZmZuPQtq7VRcAzgAs7lTiAiPgx8G1Sq9cbxrRvPUXEY92VuGz5UuCXwBbM\nbQMzMzMzq6VVLXLA3qQ+oasK1l0J/DnwalKlblCbSTqcVGFcAVwREbcMsfwcknYCdib15d3dq+wm\nVEdwPS0/8W/DEVxFUVtly6siuFblu1ObjuDKj1StHcFVNslvExFc7g41M2tWnQ69+iTtB3yW1JB2\nekSc2LX+Ndn6lwDvjIj/U7XNtlXkdsiel0p6KrCY9Kf+CGBptm7Hmp/xUuDL+QWSzgbeX9JlO6/y\nkjYBPkI6ttsDb81eHx0RPf8630SqpVqTvg/sM+6dmAHLgOeOeR+m3TJ8jJu2DB9jGxZJ6wCnAK8H\nlgNLJF0QEb/IFbsdOAw4rt/ttq0i12mQepjUzbo/qZni88BDXWUG8Wng68BtwIaketPJpIO2GvhQ\nzfKd/ftb1jav3A+8LSIurdq5X5FqfR1FEVxzBjU0HMFVFLVVtrwygqsTv5UKr9VEBNfj+Zat7la0\ny4Hd6T+Cq6iVrvv1sCK4qlr0oP9BDuNu0VuG/wA2bRk+xk1bho/xtBnrtXEP4JaIuB1A0mLgAODJ\nilxE/Dpb13cGRdvukcv1uXEdqRXuR6SBBCp8xzxExMci4oaI+F1ErIyIC0iVxdXAkZK2rlM+e89d\nEbEOsAHwIlI38HckfaDu/puZmdnE2ha4I/fvO7NltbStItdpa9kkqxDtGBGviojVwFOzdQ+VvHcg\nEXEr8EPSsdh9WOUj4vGIuCkijgC+C3xe0i69tv0z4LTs8eO+fwIzM7NJsAy4IveYOUUNUrXTX9vW\ntfqr7Hn7gnWd++dua+BzO516GzdU/mJgP+CNlM9Xx8+zB8Dp3StXdT0D9D3kosya3OvbC15fW/cD\nWurkce/AjLhy3DswA3yMm+djPF2aHOxwFXB1rwJ3As/J/ftZpHvlamlbRe4a4KOku9E/17VuIanm\nek0Dn/vi7Hlpz1KDl38GqSa+UVmBiKjddWxmZmbj8prs0fH33QWWAAskbUeaxeJdwCE9NthXvaBt\nXauXAPcCb5a0a2ehpN1ILVp3ZWXmkLSXpBWS7pf0qqINS9pN0lMKln8UeB6pfev6GuX3zEbadpdf\nAHyAVAn1VzszM7OxeXyEj7myQIBjSfWYnwOLI+ImScdLeguApFdIugP4C+BLkn5W9RMponb37FBJ\nejtppOjDwFdIlc1DgacAB0XEhQXveS1pOGIAr4uI7xeUOZMUl3U5qQt3XeCVpFEkq4BFEfGjmuUP\nJrWt/op0L98OpIGo6wH/EhFFo1zNzMysYWkk6MrqgkOz5Uh629rWtUpEnC9pEfBx4D3Z4uuBEyLi\nil5vpfdNgxeQJuF4GfBnwPqkvul/Bk6MiGU1y59NqoLvDrwc2IxUmbsS+HJEnNtj38zMzKxx450Q\nuAlt61oFICIujYjXRcRm2eP1vSpxEXFlRKwbEX9S1BqXlflmRLw5IraLiE0jYsOI2CEiPlRQKXuy\nPPA+0iDSR0kzt+1EwcRCEXF5RBwVES+NiK0iYoOI+NOIWFRUiZO0t6STJV0maZWkNZLO6HVcJG0p\n6R8k3Szpkaw7+RpJ7ygou6bH46BenzNqkvaVdHl2HFZlx2RhzW1uLuloSZdIWiZptaR7JJ0vaY+C\n8k+X9AVJ12XlHpF0m6RzJb285DPm/TscpzYc5+w9G0v6lKRfZuUfkPRdSW8sKHtmxbm8RtLH6vwM\nw9TQMZ73uZm9r6/rxaDbH5cmjnHJ55yUnV9PSFq/a12j573ZfLSua7VNJB0InEfqSv1qtvhQUprW\nARHxrRrbPpPU4vhb0kiWnYGzsulKispvT4ol2IbUyvdD0uCJXYBbI+LorvJrSGO9/7Vgc9/omkl6\nbJo6xpIOA84Efg1cRrqxdEfgQFI3+SH5CrbSPZnXAj8AbiW1vz+T1L2+CXBYRHyl6zPm9TscpxYd\n5/VIw7p2B36avWdz0v0gmwDvjoiv5sq/lZSuUuT9pN/RKyPi+pIyI9PgMR7k3Oz7ejHI9selyWty\n1+fsSbpN5nFSb8xGEfGH3PpGz3trhqSYO41b0549moGMEeFHwYM0oe9yUkvcS3LLdyO1zf4aWK/G\n9l8B7JK9XkSaC+SMHuWvIk3rf0jBunULlq0BLhv3cRzXMSbl9r6pYPnrsuO4Ir9t0n2MGxSU355U\nUVvRfZzn+zv0cQ6AI7PjdBGwTm7580nZHPcDG/fxudtk+/6TcR/fERzjQc7Nvq8Xg2x/2o5xwefc\nRIpmXJodx/W7yozlvPej9u824I4RPohR/Fyt7FptiUWkaUMujIgbOgsj4sektIZtgTcMuvGIuD4i\nSueUy5O0O+nCcV5EfK1gW1W5TW3V2DGOiGsi4jsFyy8nXaS3IIUSd5Y/FhGPFpRfCvwyK79N17q+\nf4dj1prjTMoYDOCUiFiTK38z8A1SMt3+fXz0UaRbQ75cVXBEmjzG8zo353u9GOTcH5NGr8k5/5P0\nM5dmXY7xvLfaxjdqtSmuyJXbm/Qf76qCdVeS5ncZVcb9ftm+nJvdm3GEpL+W9C5JvbJnN5N0uKS/\nkXSUpOeNaH/7Na5j3PlD9vuqgpJ2InWZ/pbUfTKJ2nScO6G8dxWUvz3bl8J7jDqUgqePIEXl/e+a\n+zgsIz/GPc7NQa8X/W5/XBo/xpL2Aj4MfDgiflNVvkQj571ZmdaNWm2RTpLEUqX54RaTmr+PYO1E\nwDuOaF860V6bkuavy5LoEfCgpIMj4tKC972UrhYLSWcD74+INgzdGfkxlvQCUgbubRFxU8H6TYCP\nkP5vbE+aPuZPgKMjYtxJ9INq03HujP3fhpRKl7dd9lyU7JL3FuDZwDkRsaqi7Kg0fozncW4OdL2Y\ngHO/0WMsaUPSfW+XRMTiAbfR5HlvVsgVuXKdb64Pk5r09yd9G/w8a/Ne+/52W9MWpIvwZ4DzgeOz\n/Xo7cCrwDUkLIuLB3Hs+TZqP7zZgQ9I31ZOBw0gtGW2Y026kxzi74bgzqvQ/99inv2XtVDb3A28r\nqShPijYd50uBdwJHS7okshtXJO1MmocxSDd/99KZYLst3aowmmPc77k5yPViPtsfl6aP8adJ3bOL\nBnnzCM57G4o2tGEMl7tWy+VHmlxH+sb3I1JW6qjjtDq/p+WRpji5MyJWRcQZpD9mm5OiPp4UER+L\niBsi4ncRsTIiLiBd+FYDR0raeqQ/QbFRH+PTSN0XJ0TERUUFIuKuiFiHdMPzi0j33nxH0gca2J9R\nadNxPgf4d1Kr2vXZ9BhnZvtzdbY/aygh6dmkP7S3RERRF9u4NH6M53Fuzvt6Mc/tj0tjx1jSq4G/\nBD4RBdNR9amx896sF1fkynW6bDbJLnA7RsSrImI10InieqjkvcP2MOkb2x/Fk5GmGBBzb6wtFBG3\nkqYhWIc0DH7cRnaMJZ1KmirkSxHxyaryEfF4RNwUaSqR7wKfl7RL1ftaqjXHObupfiHwT6SWo2NI\nI/1OAv4uK9bdUpT3AdL53qbWOBjhMe7j3Kx1vWjxud/IMZa0LqlL9QbSeVlYrGIbTZ/3NjQe7DBL\nfpU9F9230LlX47YR7cuy7LnoIvVw9rxRn9vq3KuxcZ0dGpKRHGNJ/0jqSj4jIo4ZYBMXk+aGmtSJ\nO1t1nCPi4Yg4LtKE3BtGxHMj4n8AL86K/Lxk++sCh5OukGfV3d8hG9f1oujcXJY9D+N60aZzv6lj\n/FTSvXW7Ao8rN9k0a+9feySbGPiPum6bPu/NqrgiV+4a0rewfQrWLSR9471mRPuyJNuX5xes61zU\nikZDFelcNJb2LDUajR9jSX9PGoV2VkQcOeBmnkHaz37/+LXNpBznQ7N9ubhk/QGkiWovjIj7B/yM\npozrelF0bg7zetGmc7+pY/wocArp/sFTuh6diu8Xs3/PmaZlROe9DdVjI3yMSLRgkr42PkgDBO4m\n3VO2a275bsAfKJl8EtiLNBnk/cCr+vysnpPJkm7gfRB4BHhhbvlGpFnCnwBe3bWPTynYzkezz/kF\nWarHNB9j4ITs5z2rj33ZE3hqwfIF2Wc9Aew16O/Qx3lO+c0Klh2XbeN7Pd53SfZ7WDTuYzrKYzzf\nc3OA60Wtc38ajnGPzyycEDhbN5Lz3o+hnkMBPx3hgxjFz+VRqyUiYrWkY0kjP6+Q9BVSC+ahpG+F\nx0TxFB7rkYb7R/a6kKS9SbN9QxopBfCa7AZYgKsj4vRsXx6S9BHSzbTXSjqP1G3yJtLF9msRcXVu\n88cCB0m6nNQdsS7wStKNuKuA90R2Vo9Tk8dY0nuBjwG/AW6X9ImCYt+MiJ9mrz8AHCzpKtIxe4jU\nXfPW7DP+JSJ+0PUZff8Ox6kFx/nfIjeBK3B21kV1A6mFYx/SubmU1HVa9Dk7kCZVvTMi/m/vn3j0\nGr5ezOvcHOB6Me9zfxyavibPx6jOe2tCG2bSGS5X5HqIiPMlLQI+TrqRFeB60qikK3q9lbVD+Mss\nyG2z854dWHuvRwBPVgIi4gxJ95C+wR1IGll2K6mVrfsG3QuArYCXAX9GygpcDvwzcGIMPipr6Bo8\nxttl6zcjXXCLLCW1UACcTfofvjvw8ux9D5EmGv1y5HITc+b1OxynFhzn/B+0i4APkqbCWZ80IeqJ\npHOzbBLWo7LnM0rWj12Dx3je5+Y8rxeDnPtj0fA1udd7u43qvDerpBY0zJiZmZk1SlKkmWtGZU8i\novHpyjzYwczMzGxCuWvVzMzMZsT03SPnFjkzMzOzCeWKnJmZmdmEcteqmZmZzYgRTtQ7Im6RMzMz\nM5tQbpEzMzOzGeHBDmZmZmbWEm6RMzMzsxnhe+TMzMzMrCXcImdmU0fShqR81j1JmZbrAFsDDwJf\nioibx7h7ZjY203ePnCtyZjZVJL0c+DdS6PvhEfGH3Lp3Aj+RdEJEnDiufTQzGxZX5Mxsakh6FnAZ\ncDdwRETM+fodEV+X9GLg05JWRcSXxrGfZjYuvkfOzKzN/huwCfDl7kpczhey5xMk+cusmU00V+TM\nbJrskT3/v7ICEbEcWAk8DXj+KHbKzKwp/jZqZtNkg67nMk9kz+s3uC9m1jruWjUza7OfZs/blRWQ\ntCnwp8BvgZ+PYqfMzJriipyZTZP/lT3v1aPMawEBp0bE9H09N7MeHh/hYzRckTOzqRERPwLOBvaT\ntF5JsbcCDwAnjWzHzMwa4oqcmU2b40g3wryxe4WkdYEDgP8SEb8Z9Y6Z2bg9NsLHaLgiZ2ZTQdL6\nkhZExErgvwMHFxRbCPwiIs6QtKGk7Ue6k2ZmQ+ZRq2Y2LR4D/hPwl8BpwHsLyrwZ+Ovs9SuBLYCl\nkrYADgf2AT4F7ApsSYr1WgzsBLwIuCci/rG5H8HMmuWILjOzVoqIkLSdpL8iZao+KOmZEXF3rthz\ngOdJ2gV4N/Afs+VvIw2UOArYISJOk7RRtp3FEXG2pBcA5wKuyJlZa7giZ2bT5BbgM7l/P4sU19Xx\nQuDA7PXKiLgje30eqQVu44hYnC3bFVgSET/M/v0K4MZG9trMRmT6Bqr7HjkzmxoR8ZGIWDf3WNK1\n/gW5dVvllj8M7EvKae3YF7g09+//ACyWtHmTP4OZ2Xy4ImdmlnRX3J78d1Z5eyVwIfC+0e+amQ2H\n55EzM5tWC4Dv5v79dODa7PVq4DrSPXUXjni/zMxK+R45MzMgIl7T9e8X5V6vBvYf+U6ZmVVwRc7M\nzMxmhAc7mJmZmVlLuEXOzMzMZsT0TQjsFjkzMzOzEZC0n6RfSLpZ0n8tWL++pMWSbpF0raTnVG3T\nLXJmZmY2I8Z3j5ykdYBTgNcDy4Elki6IiF/kir0PeCAinifpncBJwLt6bdctcmZmZmbN2wO4JSJu\nj4jHSDnOB3SVOQA4K3t9HqnS15Nb5MzMzGxGjPUeuW2BO3L/vpNUuSssExFPSPqNpKdFxANlG3WL\nnJmZmVnzVLAsKsqooMwcbpEzMzOzWXA7fHK7EX7evV3/vhPID154Fuleubw7gGcDyyWtC2waEQ/2\n+hBX5MzMzGzqRcRzx7wLS4AFkrYD7iYNYjikq8yFwGHAD4F3AJdVbdQVOTMzM7OGZfe8HQtcQrq1\n7fSIuEnS8cCSiLgIOB04R9ItwEoqRqwCKKJn16uZmZmZtZQHO5iZmZlNKFfkzMzMzCaUK3JmZmZm\nE8oVOTMzM7MJ5YqcmZmZ2YRyRc7MzMxsQrkiZ2ZmZjahXJEzMzMzm1D/HwaFv466jsjTAAAAAElF\nTkSuQmCC\n", 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Kf4OzgbF1zvFCYCuwY/H5ScDVmeNOAm7O7N8Z+Gry+bmEB+uvAyZmjjfCL+hjRvrnuLif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\nPBUX1EnHVS/AIcY1VCZy43RqDLPYU7OFjvwqJyLSTTrwY1wjciIiIiJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.rcParams['figure.dpi'] = 300\n", "\n", "x_ticks = np.arange(0,len_m2,np.int(len_m2/5))\n", "x_names = [str(np.around(om,3)) for om in Om_m_vec2[1:-1:np.int(len_m2/5)]]\n", "\n", "y_ticks = np.arange(0,len_L2,np.int(len_L2/5))\n", "y_names = [str(np.around(oL,3)) for oL in Om_L_vec2[1:-1:np.int(len_L2/5)]]\n", "\n", "figura = pl.figure(figsize = (10,10))\n", "pl.imshow(prob_mat_H.T,origin='lower',interpolation='none')\n", "pl.title(r\"Dados de $H(z) \\quad \\to \\quad p_H(\\Omega_m,\\Omega_\\Lambda)$\",size=20)\n", "pl.xticks(x_ticks,x_names,size=20,name='monospace')\n", "pl.yticks(y_ticks,y_names,size=20,name='monospace')\n", "pl.xlabel(r\"$\\Omega_m$\",size=20)\n", "pl.ylabel(r\"$\\Omega_\\Lambda$\",size=20)\n", "pl.colorbar()\n", "pl.show()\n", "\n", "figura = pl.figure(figsize = (10,10))\n", "pl.imshow(prob_mat_Da.T,origin='lower',interpolation='none')\n", "pl.title(r\"Dados de $D_a(z) \\quad \\to \\quad p_{Da}(\\Omega_m,\\Omega_\\Lambda)$\",size=20)\n", "pl.xticks(x_ticks,x_names,size=20,name='monospace')\n", "pl.yticks(y_ticks,y_names,size=20,name='monospace')\n", "pl.xlabel(r\"$\\Omega_m$\",size=20)\n", "pl.ylabel(r\"$\\Omega_\\Lambda$\",size=20)\n", "pl.colorbar()\n", "pl.show()\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Agora vamos combinar os dois numa probabilidade conjunta:" ] }, { "cell_type": "code", "execution_count": 184, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Q6q9CuTG0WhdwgBJy0HCq9JgubPWoR05ERESkQ3Vh21RERESkRhe2errwRxIR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "prob_BAO = prob_mat_H * prob_mat_Da\n", "\n", "figura = pl.figure(figsize = (10,10))\n", "pl.imshow(prob_BAO.T,origin='lower',interpolation='none')\n", "pl.title(r\"Dados de $H(z)$ combinados com $D_a(z) \\quad \\to \\quad p_{BAO}(\\Omega_m,\\Omega_\\Lambda)$\",size=20)\n", "pl.xticks(x_ticks,x_names,size=20,name='monospace')\n", "pl.yticks(y_ticks,y_names,size=20,name='monospace')\n", "pl.xlabel(r\"$\\Omega_m$\",size=20)\n", "pl.ylabel(r\"$\\Omega_\\Lambda$\",size=20)\n", "pl.colorbar()\n", "pl.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Às vezes é melhor usar contornos para essas probabilidades." ] }, { "cell_type": "code", "execution_count": 185, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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R4FFgKSIi2TJr1iwOHz7M888/7zff4cOH6dq1KwsXLuTCCzP39TNz5kzuuusu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\nrHAPrLXnjDEtcWZWrzPGTMPp3W2E81fce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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figura = pl.figure(figsize = (10,10))\n", "pl.contour(prob_BAO.T,levels=[0.3,0.6,0.9], colors='k',linestyles='-')\n", "pl.title(r\"Dados de $H(z)$ combinados com $D_a(z) \\quad \\to \\quad p_{BAO}(\\Omega_m,\\Omega_\\Lambda)$\",size=20)\n", "pl.xticks(x_ticks,x_names,size=20,name='monospace')\n", "pl.yticks(y_ticks,y_names,size=20,name='monospace')\n", "pl.xlabel(r\"$\\Omega_m$\",size=20)\n", "pl.ylabel(r\"$\\Omega_\\Lambda$\",size=20)\n", "pl.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "E agora podemos combinar tanto os dados da RCF (horizonte acústico no desacoplamento) com os dados de mapas de galáxias em $z=1$ (escala acústica de \"baryon drag\")" ] }, { "cell_type": "code", "execution_count": 186, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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BDxPXuG/OrZWk2fIVXZIkSZqVJPsmuSbJtUmO7XH8sCT/meTydjl8ujrNyEmS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\ndOx/As2k27cBD53Bdbdv2375Yt/fBbj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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "prob_RCF_BAO = prob_BAO * prob_mat2\n", "\n", "figura = pl.figure(figsize = (10,10))\n", "pl.imshow(prob_RCF_BAO.T,origin='lower',interpolation='none')\n", "pl.title(r\"RCF + BAOS\",size=20)\n", "pl.xticks(x_ticks,x_names,size=20,name='monospace')\n", "pl.yticks(y_ticks,y_names,size=20,name='monospace')\n", "pl.xlabel(r\"$\\Omega_m$\",size=20)\n", "pl.ylabel(r\"$\\Omega_\\Lambda$\",size=20)\n", "pl.colorbar()\n", "pl.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podemos visualizer melhor colocando todos juntos.\n", "Para isso, vamos usar apenas os contornos das PDF da RCF e das galáxias.\n", "Os contornos correspondem às regiões de 1 $\\sigma$ -- ou seja, os valores \"reais\" têm uma probabilidade de aproximadamente 68% de estarem dentro da região definida por aqueles valores." ] }, { "cell_type": "code", "execution_count": 187, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.688804352592\n", "0.688758372539\n", "0.683429923503\n" ] } ], "source": [ "n1=np.sum(prob_mat2)\n", "print(np.sum(prob_mat2[prob_mat2>0.6])/n1)\n", "\n", "n2=np.sum(prob_BAO)\n", "print(np.sum(prob_BAO[prob_BAO>0.485])/n2)\n", "\n", "n3=np.sum(prob_RCF_BAO)\n", "print(np.sum(prob_RCF_BAO[prob_RCF_BAO>0.325])/n3)" ] }, { "cell_type": "code", "execution_count": 188, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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inDx5rk7mahH3PMEmbuE4Qynl1XrvZS9l2OXVRYVFRECJnPhBbKyladMIKlUq\nRLt2peOVTZiwjpEjVxMZGU7WrOq5EN/JTCz9mc7rXl78F5yxcR9RnjO+/JguIompR07EO6KizlCv\n3mjefrsqFSoUjFfWs+ds9u8/yWefPemn6CQjeoY/2UsOfqK4V+styiEeYwtfUCblk0VErpASOfGb\nzZsP0br1RMaPD6NgwesuHLfW0rLlBMqWzc9LL5XzY4SSUeTgDL2YQ2dq4O313TqxgM8pQ5SXx9yJ\nSCqoR07Eu37+eRODBi1k/PiweLdST5w4S926o+jatSI1ahT1Y4SSEXRiAbO4leVe3vs0H8cI5W8+\nprxX6xUROU+JnPjdgAEL2LnzGB9+WDPe8e3bjxAWNo4ffmjAHXfk8VN0EuzyEsWLLKU7VVM++Qp1\nZgHfcT8H0eQdkYCgBYFF3NG69UQee6woTZveG+/4/Pn/8sYb05kypQk33HCVn6KTYNab2XxDSf7l\neq/Wm4cTtGQVA3nIq/WKiMSlRE4CwrFjZ2jYcCwffVSLu+++KV7Zd9+tZPLkDYwe3YjMmfUrK95z\nF/uoywbP3qfe9T8WM5a72Y32ERYJGBojJ+Kev/7aS8eOvxEZGU7OnPEHhr/xxgwABgzQNl7iPf2Z\nzrtU4ijZvVpvTk7TgWVe3x1CRCShgEzkjDHVjTGzjTFHPY9ZxpjKXqg3xBjTwRizxBhz0Bhz2Biz\nwhjzqjEm0Su5MeZhY0x/T/tHjTGxxphhydT9raf8Uo/uaX0Owe6HH1YzffoWfvihAZkyXZw9GBMT\nS3j4OGrVKsYzz2hRVUm7qmzlDg7yGWW9XvfzLOU3irGNG7xet4ikQRD2yAXc6pTGmPrAeOAoMMJz\nuBkwwxhT11r7UxqqjwRqA+uB7wEL1AQGAnWAKgnObwu0BI4DO4ESl6h7ArAtmbJngbzAb6kNPCN5\n9dXfmD69Bb17V6Fnz1kXjh85cpp69UYzd25r/vprH0uX/ufHKCU9M1j6M52uVCPay6OSr+Ysr7CY\nKrTyar0iIkkJqETOGJMNGAKcAypba1d7jn8LLAI+N8YUtdZGp6LuB3GSuJVAWWttjOd4ZmA58Igx\n5hFr7dw4lw0B+ltr/zbG1AR+Sa5+a+1kYHIS7eYDegKrrLXLrjTujCg6OobQ0HEsXdqOFSt2M2HC\nugtlGzYcoF27yUREhFG27Nfs3Xvcj5FKetWYNUSTmXHc5fW6n2U5cynMOm70et0iIgkF2q3VmsAt\nwJTzSRxt+FJ8AAAgAElEQVSAtXY58DOQH6iRyrpv9Xyddz6J89QdA8zzfJs77gXW2mXW2r9T2d55\n7XB+zkPTWE+Gsn//CRo2HMuXX9bmnnviT36YPHkDw4b9yZgxjQgJCbRfYQl02TjHu8x0ZfHfrJyj\nEwt5l4perVdEvETLj7juYZzbnfOSKPsd51U3ta+Qa8634emFAy70yFUETgALU1l3kowxmYBngNPA\nSG/WnREsX76LV1/9jYkTG5MrV/ylR3r3/p0TJ6Lp16+6n6KT9OolFrOKW5hHYa/X3YpVrOJmVpLX\n63WLiCQl0BK52zxftxljchhjpnomERgujj9L1TL/1tq1wIdASWClMWagMeZDYBVwMxBqrd2TxvgT\nqg0UBMZba496ue4MYeTI1Ywf/zfjxoXFW3rEWkvz5pE0aHAnjRvf48cIJT3JxUleZwFv4P0PAJmJ\n5Q3+cGUpExHxkiCc7BBoiVxOz9conNusT+BMNigJHEtwzhWz1nYCnsdJGF8B/gcUA74FFqe23kto\nj9PDqNuqadCt20zOnDnH++/Hf/M9fPgU9eqN5pNPHqd0ae9urSTBqTvzGM+dbMD7O4U05S92kJM/\nKOT1ukVEkhNoiVzcASuLcHrhlgB/44XBLMaYwcAg4CUgD3Cj598dgUXGGK+t3GmMKYiTjG6y1iZ1\nq1guU2yspVmzSOrVK0GTJvF3fli9ei/t208lMjKcm266xk8RSnpQmCO0YhW9qez1ujMRS3fm0YdH\nvV63iHiReuRcd/7247XW2v+stUWttRWstaeBHJ6yY8lce0nGmObAC8AAa+0wa+1ha+0ha+3XOMld\ncZykzlva4ySf6o3zgvO9bx99VItSpeKPP5owYR3ffbeSiIhwsmb14QhTSVfeZhaDeZC9F15KvKcR\nf3OQq5hNEa/XLSJyKYGWyG31fL01ibLz4+e2pLLuJ3FucyY1oeEPnKSrTCrrjsczgaI1zjIqwy//\nyjlxHtu9EUpQWbNmH88//xPjxoVx/fXx12/u1WsOe/Yc58svn/JTdBLISrGLqmxjgCv7nlq6MZ93\nqIS3Z8GKBJftxH+f8wPNWnXd+YTqkSTKKuMkYn+ksu7zY+tyJ1GWy/PVW6/CdXEWAJ5ird1/+ZdV\njvMo4qVQgktExN9MnryB4cPr48yBcVhradVqAvfffzMdO1bwY4QSeCwDmE4vKnOCrF6vvTYbicXw\nM8W9XrdIcClC/Pc58YZAS+SmAXuBJ40x958/aIwpDdQC/vOcE48x5iFjzAFjzH5jTHLv4ktwErUX\nPAsPn782G/AiTpL4u5eeRwdPfV97qT6J4/XXp5Mnz9V06RJ/JZqTJ6OpW3c0nTo9xGOPpWpyswSh\nJ9jEzRxnGG5s7WbpwTzPunHqjRMJeEE4Ri6gdnaw1p42xrwIjAHmGGN+wEk2m+FJwpLZ1SELTq+a\n9fw7KR8DTYEHgbXGmJ89xx/HuW27Evgy7gXGmIdxtukCZzFigEqenSYA5ltrv0lwzW1ANWCntVZb\ncrkgOjqGsDBn54clS/5j5sytF8p27DhKWNg4IiLCqVhxGJs2HfRjpOJvmYilHzPpQnViXPjcWpMt\n5OAsES7sECEicjkCrUcOa20EzmzPlThLjzTH2UKrhrV2yqUu9TySq/cIThLXHziLk6C1Bc4AfYFK\n1tpTCS4r5omhJU5yZnGSvvPHHk6iqXaer8MuEauk0X//HaNp0wh++KEBBQteF69s/vx/6dZtJlOn\nNk00lk4ylhas5ijZmMLtLtRu6cFc3qYSVr1xIuInxtpkcx/xIWOMhbf8HUa607FjBZo1u4+KFYdx\n6lT8ztpBg2px++25eeqpH4mN1e95RnMV0WzgU8JoxCIKer3+R9nOV0zhTl4gNvA+E4ukA72x1vrs\nU5AxxtpRvmoNTBN88vz06iPp2ocfLmTt2n18/XXi2aqdO0/jqqtC6NOnih8iE3/7H4tYRAFXkjiA\nHszlPSoqiRORy2aMqWWMWW+M2WiMeSOJ8g+NMX8aY1YYYzYYYw6lVKdegSTda99+KnfeeSOvvhp/\nnsu5c7GEhY2jWbP7aNRIY5gykjyc4DUW0pVqrtRfjp0U5xA/cJ8r9YuIS/w42cGz//qnOMPH7gaa\nGGNKxD3HWtvRWlvSWlsKGAxEpvSUlMhJunfqVDT164+mc+eHqFbttnhlBw6cpEGDMXz22ZOUKOH9\nbZkkMHVnHqO4hy0XVhbyrrf4nfeoyDlfLhYlIundgzi7Pf3jmbg5Gme5suQ0AVK8GaxEToLCv/8e\npUmTCEaObEDRovHfvP/8czdduswgIiKca67x/jpiEliKcJgWrKavS9tlleU/7mYf3/KAK/WLiIv8\nuyBwfmBHnO93cnFFjHiMMYVwFt6bldJTCqjlR0TS4vfft9Or1xwmTWpMuXJDOXHi7IWyYcP+pHz5\nAowYUZ+GDceiST7B6x1m8QkPsh939t7twVw+4GHO6uVTROKYs8Z5XEJSEx+SezNqDIy3l/FmpR45\nCSpffLGMxYv/45tv6iQqe+GFn7nppmvo3r2SHyITXyjNLiqznYGubMUF97OHMuziG1cWFxYR17k4\nJq7yA9Cr+cVHEnYCheJ8XwDYlUykjbmM26qgRE6C0Asv/ETRorno3Dn+Mn/R0TE0ajSW9u3LULu2\nG+uKiX9Z+ru4FRdAN+YxkAqcTnbdcRGRZC0FihljChtjsuIka5MTnmSMuQO43lq76HIqVSInQef0\n6XPUqzeaV14pT5Uqt8Yr27PnOI0ajWXYsLrcc89NfopQ3PA4m13cigvuYh+P8g9fUsaV+kXEB/w4\na9VaG4OzJeg0YC0w2lq7zhjT2xhTO86pjXEmQlwWLQgcILQgsPdVq3Yb339fn9Klv2TPnuPxypo1\nu48+fapQtuxXHDqUcEMPSW8yEcuffElPqjCZEilfkAqjGM8K8tI/yQ1dROTK+WFB4J9TPs9r7T2h\nBYFF0mTmzK188cUyxowJJSQk/q/6yJGriYj4m7FjE5dJ+tOc1USRjcnc4Ur9JdhPVbbxGWVdqV9E\nfMS/s1ZdoXcwCWrvvDOXqKgzvP9+jURlXbrM4OzZGAYOrOmHyMRbshNNX2bTmRokPSks7boxn48o\n79rYOxGR1FIiJ0EtNtbSosUE6tUrQWjo3YnKmjSJoGbNorRtW8pPEUpavcQSlpGPhS5txXUbh3ic\nTQxRb5yIBCAthCRB7/DhUzRsOIZp01qwbt1+1qzZd6Hs6NHT1K79I/PnP8P69QeYP/9fP0YqV+oG\nTtGZBVSktWttdGMeQyjLMbK71oaI+EgQZj3qkZMMYeXKPbzyyq9MnNiYG264Kl7Z5s2HaNVqImPG\nhJI/f04/RSip0ZV5RHAnG3Fn+7XbOERdNvAR5V2pX0QkrZTISYbx449/MXHiekaPbkSmTPHHUv32\n22YGD15MZGQ42bMH4Ue2IFSIIzzDSvq4tBUXOL1xn1GWI1yV8skiEvj8uPyIW5TISYbyxhszyJTJ\n8O671RKV9es3n61bDzNkyJN+iEyu1NvMZghl2c21rtRfmCPUU2+ciAQ4JXKSocTExNK48XjCwu4m\nPPyeROVt206mXLn8mvwQ4O5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Ok5VfKOZqOyIi6YkSOZEAdu5cLOHh43n++bJUrZp4csPx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+O/4+hl+HyR0rGZxvki5WM/GzJ9Tk5FVMe9ZEIuZNIpWWrIxeHuY82sBfB/BANZAeYQ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\nExERESml1JATERERKaX+H3RAmy4H/931AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xmin, xmax, ymin, ymax = np.amin(Om_m_vec2), np.amax(Om_m_vec2), np.amin(Om_L_vec2), np.amax(Om_L_vec2)\n", "extent = xmin, xmax, ymin, ymax\n", "\n", "fig = pl.figure(frameon=False,figsize = (10,10))\n", "im1=pl.imshow(prob_RCF_BAO.T,origin='lower',interpolation='none')\n", "pl.colorbar()\n", "im2=pl.contour(prob_BAO.T,levels=[0.485], colors='r',linestyles='-')\n", "im3=pl.contour(prob_mat2.T,levels=[0.6], colors='w',linestyles='-')\n", "im4=pl.contour(prob_RCF_BAO.T,levels=[0.325], colors='k',linestyles='-')\n", "pl.title(r\"RCF + BAOS\",size=20)\n", "pl.xticks(x_ticks,x_names,size=20,name='monospace')\n", "pl.yticks(y_ticks,y_names,size=20,name='monospace')\n", "pl.xlabel(r\"$\\Omega_m$\",size=20)\n", "pl.ylabel(r\"$\\Omega_\\Lambda$\",size=20)\n", "pl.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vamos fazer um \"zoom\" na figura acima" ] }, { "cell_type": "code", "execution_count": 189, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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I4FJgHQFYh8IY8wHwDtABuBS4zPvvl4HFxpjT16kJapYzm3Pa2x/BeYgwtH//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CmrKUsGSVzidSoh68Y85nIOCzjb61REIlZ2tqVNm1QeeqgODRtWdhJz7NifmDRpJR991BJj9KVQ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\nwprvggAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "range1 = np.arange(20,120)\n", "range2 = np.arange(40,140)\n", "xmin, xmax, ymin, ymax = np.amax(Om_m_vec2[range1]), np.amax(Om_m_vec2[range1]), np.amin(Om_L_vec2[range2]), np.amax(Om_L_vec2[range2])\n", "extent = xmin, xmax, ymin, ymax\n", "\n", "x_ticks = np.arange(5,len(range1),np.int(len(range1)/5))\n", "x_names = [str(np.around(om,3)) for om in Om_m_vec2[range1][5:-1:np.int(len(range1)/5)]]\n", "\n", "y_ticks = np.arange(5,len(range2),np.int(len(range2)/5))\n", "y_names = [str(np.around(oL,3)) for oL in Om_L_vec2[range2][5:-1:np.int(len(range2)/5)]]\n", "\n", "fig = pl.figure(frameon=False,figsize = (10,10))\n", "\n", "im1=pl.imshow(prob_RCF_BAO[range1][:,range2].T,origin='lower',interpolation='none')\n", "im2=pl.contour(prob_BAO[range1][:,range2].T,levels=[0.485], colors='r',linestyles='-')\n", "im3=pl.contour(prob_mat2[range1][:,range2].T,levels=[0.6], colors='w',linestyles='-')\n", "im4=pl.contour(prob_RCF_BAO[range1][:,range2].T,levels=[0.325], colors='k',linestyles='-')\n", "\n", "pl.title(r\"RCF + BAOS\",size=20)\n", "pl.xticks(x_ticks,x_names,size=20,name='monospace')\n", "pl.yticks(y_ticks,y_names,size=20,name='monospace')\n", "pl.xlabel(r\"$\\Omega_m$\",size=20)\n", "pl.ylabel(r\"$\\Omega_\\Lambda$\",size=20)\n", "pl.show()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 0 }