Extragalactic medium.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Impact of the parameters: Extragalactic medium\n",
"\n",
"Analytic expressions and simple case.ipynb has shown that time delay and halo\n",
"extension of the cascades are related together but also with external \n",
"parameters such as extra galactic magnetic field or source jet opening angle. \n",
"In a realistic case source photons are not distinguishable from cascade \n",
"photons. Moreover as shown in Target_spectrum_and_absorption.ipynb for sources \n",
"further than $z=0.1$, TeV band is fully absorbed. Considering the two previous \n",
"considerations, in this part is studied the dependency of the mean arrival \n",
"angle and the mean time delay in the GeV band versus the different\n",
"parameters. \n",
"\n",
"Here is studied a more realistic case:\n",
"* z=0.1\n",
"* source spectrum is generated assuming a powerlaw spectrum (between Emin=1MeV and Emax=100TeV)\n",
"* EGMF (turbulent magnetic field): 1E-15 Gauss, L_B= 1 Mpc\n",
"* EBL model: Dominguez\n",
"\n",
"This part aims to draw characteristic quantities (average arrival angle and time delay) versus EGMF and redshift\n",
"\n",
"Because for redshift upper than 1 there is no TeV photons, we will use the GeV band\n",
"\n",
"#### Cas mono-énergétique\n",
"\n",
"* plus simple à comprendre et interpréter\n",
"* z=0.1\n",
"\n",
"### EBL model "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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+M5fHZ5b3NdmK+IS9aWxxfdeqWcP9guJOAqAqmJncPbRJi2QUAAAosWRtbeC2zQcU1/cq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\neeTIEcA5yDmvup06dSrX7flRv379PNOzD1Au6PXq3Lkz69a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Nm0a9evXc8h84cIATJ07Q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\n1fYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe542cea150>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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r2B8E/ALYAFwO3Ao8AUymMJE6v9g06+43pdLTFqc69rULyZ0H6D3vPAYCV5ZN\no26z6jGLSDsLfW+NXe9e760i9am7jn0ZZwMvAe9x999ssu0SM/s2cHuxXVcM7KXxQgf1kx7qaXye\njoiIiEiLGVfj694KXFVmUA+Au98LXFVsJ12st7cXM6t4q5ZnMgwW78vdnvqIaiOnLa9qQ9Ep5nF1\ncrytzyremmGY4aYct1t18vndqpoV81pn7F8C/pTQ5s/Fdm3JzD4BnMKri2/dD3zJ3XW5fxUGJg5A\nLqHR3othx9lRS1Wq4o2IdLwVWdhDf7JEukmtOfbXABPdx06QM7NbgWfc/fDau9c8ZnYo8CKwksI3\nGwuA/wW83d1/X6a9cuzLCJoNmhNeovLA3z7EHZ/5SB09KghdIEXLnotIuwpIdy+0U469SFtpRI79\nWcCdZvZl4Bx3f37UwcZTyK3fBzigxv03nbtft8lTXzSz04DZwGYD+27T29sbtmJsrnAXsqhU0B+V\nlEtH6Q+LiIiIdIpac+w/BywDzgQeN7ObzexyM7sZeAz4bHH758zsotG3dLodl5ltYWbHANsBdza7\nP60gaFA/mtnYtxooXzAuxTs+xTwuxTsu5djHpfM7vnbLsT9h1L8nAvPKtPmH4m1TJ9V4zOjMbB/g\nLmAb4DngCHe/v7m9ai1J6UexL8xS7ryIyMYS50/SW7BbRJqs1hz7qbUe0N1X1fraRjCz+RQW2io5\n2N1/Vdy2FTCFwqq6HwY+CmTKDe67Lce+VM0meGCfq9BuMF/YV4q150Mof15EOplZP9Cb3DDF92Dl\n2Is0Xuo59rEH52b2IWAOMAvYFxgPXO7u/1zhNW8EzgEOBnooVOm5Buhz97Wjml5LYVa+ZKTaj7u/\nDDxcfPg7M3sH8Gng5Hp/JqleNbPx+oMhInIIEDABk2/AoSt+TaCvCEQapdYc+9i+CHwCmAn8sfjc\nmO9UZrY78BsKlWyGgK9TGKB/ErjLzHpKbd39OXd/eNTthQr92ALYup4fpFP8nOJ/QKXcebNCKcs5\ng4UZobFugUYP6ivlZ/Zke8bcJrVRfmZ8inlcindKstmgZsqxj0vnd3ztlmMf26eAx939ITObQ/LH\n/e8Ak4DT3f2C0pNm9jUKM+7nAqdV2oGZnUdh/PpH4HXAcRS+NQh71+pwAV/uFuwYtlpstid8MJ7x\nDOQhk3KFHBERqVN/f3KbhnxFICJQY459M5lZBlgKXObux5fZvjuF2vOPuPvum2wbDzxBYbJ5Z3f/\na4XjXAx0YC+CAAAgAElEQVTMBSYD64D/Br7q7jeN0b5jcuxDSlmO/KSJX/HmC81SzJ9Xmo2ISLLg\na6ECZxazPT30z6z/uiS9l4vUpxF17FvZ3OL9jZtucPfnzOxXwEEU6tEvHWsn7n5iY7rX+qouZSki\nIu1r9VDQt6sDa9KtOBZS7EBFDkSq04kD+xnF+xVjbF9JYWA/nQoD+652HLBH5SYGZFdAwJeuDZHP\n55WKE5HiHZ9iHlcnx9uS6l3mCnchCwmmoYchlrIts5iV2Fbli9PRyed3q2pWzDtxYD+heL9ujO2l\n5yemfeAFCxYwderUws4nTmTWrFkj/6mliyja4vEewCPFH2pa8X7Tx3yUgXfs+eqb/XDxQqhZs8o+\nTqN/wwyP/CEYLu6/JeLVBY8V7/iPh4eHW6o/nf64E+OdzWbDvoF9ZOOHZfc3PJza+/kaFhYeF1OE\nxmpf+v69VeLZzo878fxu9cclaf3/rV1bKOi4atUqKqm1jv3O7v5k1S9MQUCO/Q8olKM82d03W+nW\nzM4FFgIL3f3LKfar5XPse5f0MrAyPM0mrdmbrZ94iBeP+ciY26tdVEp5mSIi6SmtNxLynh+r1j2g\nXHyRMTQix/5xM7sG+L6731J71xqiNCM/YYztpefXjrG9Y1UzqB8zkWkTYW/yldtUM6hXKUsRERGR\n8mod2C8HPgR8yMweBH4AXOzuq1PrWe0eKN7PGGP79OJ94NC181SalQHoNyuUs1xSIS9zMP0FRqqZ\nlcnn8yNfU0njKd7xKeZxKd5x5Uma8pE06fyOr1kxr3Xl2X3M7F3AKcBRwFeA/21mP6Mwi39rin2s\nVmnEeZBtkh9jZq8DDgSep7BwlZQRUqN+8Vkw+27Ik290d0REREQkwLhaX+jud7r7AmAXCiu6Pggc\nAwya2R/M7FNmtkM63ayqXw9TKHU5jcJqtaP1Aa8FfuTuf4vdt1ZhZhVvI9zHvM2+O90+VZtio5mH\nuBTv+BTzuBTvuDLN7kCX0fkdX7NiXndVHHdfC3wL+NaoWfwPA18HzjWzq4Fvu/s9tR7DzA4HDi8+\nnFy8f5eZXVL899Pufuaol3wcuBP4DzN7L4X0nP0pvJcsB75Qa19aVciiUqWSZon7WryYgdmzocIF\nsqWvRXRRk4iIiEhrqHnGfgyrgTXAC8XH2wL/DNxtZteaWa1XPu4LHF/c10EUFj6dVnzueODI0Y2L\ns/b7AZdQGNB/ptj+G8Bsd3+mxn5UlMvlNitzFEtQSbO9F8OcwUJ+fIXbwOzkhUqarVlx7laKd3yK\neVyKd1z5Znegy+j8jq8RMc/n8+RyuYpt6p6xN7OtKQysTwX+ofj0CuB/UxhYzwL+F/AB4DsU0nWq\n4u59FNJoqnnNH4GTqj1WPZKCHUOlkpvVlKjMDg3Rf9ZZY25Xbr2IiIhIPJlMhkwmQ1/f2EPimurY\nA5jZdAppNwuAHYH1wHXAd8qVwCym5LzX3aPn3cfQ7Dr2pdz4kIG9z52buL9+svT62OvKqr6wiEhn\nUB17kfaSeh17M1vKq9e+/Bk4B/iBu/+pwst+A3ywluN1s6DceYDFi2H27LBZ+YQ30/NsGbNZM/Km\nKiIina80wC9rTvoljkUkfbXm2GcoXD/5YWBXd88lDOoBfg6cWOPxulbQoB4gNC9+9RBmVLzNJmzB\nqGYuFqV8wbgU7/gU87i6Ot4rssFNLZ9PvPUuW5a4n3wd3ZXqdfX53STNinmtOfanAb9299+FvsDd\nfw/8vsbjda/jgD3Cm1dKs7Fc6V9j586Ppq8/RUS6wJJC2mWlL3PtJ+fBjmETSANrwlcTF5F01ZRj\nb2brKSxE9fH0u9SeGpVjX/Gr0dFKX5Pempw/n7TyrPIaRUS6R0jKe0gePgTm4ivHXqQuqefYUyhr\n2bULPKWld9my5JmNOYOwegj/0MKKzSww/TE7PfwrVxERERFpH7UO7AeBd6XZkU6Qy+VGShGFCP66\ncsfZ2GDYyD1pNqVT5PN5raQXkeIdn2Iel+IdVx6tPhuTzu/4GhHzfD6fmLtf68Wz/wbMMLMvmdlW\nNe6j4/RZH3NvnYv1Gb1LesNfeOvcsW+rh4J3M+mh5l3MKiIi7a1SUQURab5MJpO4ZlKtOfYXA7sD\n7waeAP67eL/Zztw96iJRzWJmTq7KFwXmxWdXQP/l9c/EL+tdxpqB8IualNcoItL5zPqBhMmonHLs\nRVpFI3LsTxj178nF21i6YmAPr77h9S7pZWBlYJlKEt4oS2+Al1feR7WD9iTNLGUpIiIxHQIkLHBY\n1drvItIstQ7s35RqLzrEyOJQu5xJdu/F9M+cWbH9ebPzzL4b8hUr+g7SwxCV90TwoL4n28PM/qS9\ntT7lC8aleMenmMeleMeVRzn2Men8jq9ZMa9pYO/uq1LuR8cZWLMmMS8xdB2/NcwOXgVWX1mKiEgt\nrNIfrVy0bohIHWrKsZfNja5jPzJzPzdT8TWDxZn6uRXmLRazrKqVYDthNl5EROLp7e1NXuU8V7hr\nRo59Ev3tk27TiBx7CZJUSiB5zn4hM8lmob8/nR6JiIiM1h/wByZ4scRqJHyt3cNi1pC82m2a15eJ\ntLu6BvZmtgvwXmAXYJtybdz9nHqO0U5KdexHJNWeLxbD0Zcm1VO+YFyKd3yKeVyKd0TZLPmBgcQc\n+5kUF2as8EcydFa/2+n8jq9ZdexrHtib2TnAWQH76KqBPUD2vPMYmJ08yyAiItJ1+vshn4ekQY8K\n6ItspLQIal/f2GWqaq1jPx/4EbAU+A5wNXApcCMwBzgZ+DHwPXe/tfqut5/ROfaq0SsiIp2klIqT\nSo598EGT/5bq76h0o0bk2J8G/F/g/3P3l4tX0j/i7lcAV5jZz4AB4Ioa9y8iIiIiIlUYV+Pr9gEG\n3P3lUc9tUfqHu/8S+CXw2Tr61n609nY0STlmki7FOz7FPC7FOy7FOy7FO75mxbzWGfutgL+Mevw3\nYMImbe4DPlbj/tvastKV/LqoR0REREQiqXXG/gng9aMePw6bLY76euCVGvffntzBPag8V0lPtqeB\nHepcuro/LsU7PsU8LsU7LsU7LsU7vmbFvNYZ+98Be496fAtwqpkdD/yEQiHHDwF31te99lJatW+w\nWJ9eF/OIiIiISCy1zthfD+xtZtOKj78MrAUuAZ4FrqOwOtMX6+2gSDnKF4xL8Y5PMY9L8Y5L8Y5L\n8Y6vrXLs3f0SCoP40uPHzOydwGeANwOPAN9x99+n0Me2USp3qQUzRESkm1nCoGb/hx5iSOkhIqmr\nqY69bG50HXvV1RURkU4SWse+d9kyBtasCdpnYq171bEXKasRdeyljFwupwtURESka/XP3LSOxuaS\nZvNFpLx8Pp+Y4lNrjj1mNsXMvm5mt5jZcjN7uNyt1v23Iw3s41G+YFyKd3yKeVyKd2TDw+FtS2vE\nlLtJEJ3f8TUi5plMhlwuV7FNTQN7M8sAK4BPAe8Btivua9ObfutEREQ6RKUxdunW25vSwbLZlHYk\n0j1qyrE3s18D+wIfAZa4+4a0O9ZulGMvIiKdqpRjH2RFFr+8f+x9FWcyE3PsA+jvrXSjRuTY7wNc\n6e6X1d6tzqNqOCIi0pFWAHsEtt1joJE9EZEKas2xXwusTrMjnUYryjaW8gXjUrzjU8zjUrwTLAFy\nhao4lW7Bqsmxl7rp/I6vrerYU1igak6aHekE+ipQRERERJql1hz7ScAQ8EvgTHd/Pu2OtZvROfYi\nIiKdxIoVaJL+zoXUu1eOvUh9Us+xd/enzexgCoP7fzazFcC6MdrOq+UYIiIiIiFCrnHryfYwsz+5\nzr5IO6u13OVewJ3ADhRKXb4VyIxxE0md8gXjUrzjU8zjUrwjSynHvoeh4LZrBsJWxO1EOr/ja7cc\n+68DPcDZwKXAn939ldR6JSIiIpJgJgsL/0hIEVLVOukWtebYPwvc6O4fSr9L7Uk59iIi0qlaNcd+\nZPXZwIG9cvGlE1TKsa+13OXLwCO1d6kz5XI5fd0lIiIiIqnL5/PkcrmKbWqdsb8amOTuKnlZpBn7\nuPL5PJk0ZnskiOIdn2Iel+JdWeoz9sPDMGtW4nGzPT30z6xwwatm7IPo/I6vkTFvxIz954A9zWyh\nlX7bRURERBJke8IXcBxY070XvIrUotYZ+4uBqRQWqXoEGGbscpcn1dG/tqEZexER6VRpztgHHzMk\nF18z9tKFUq9jD5ww6t/TirexdMXAXkREpNMlfkmfi9INERlDrak4b6riJpI6XaQcl+Idn2Iel+Jd\nWTabTXV/indcind8bVXH3t1XpdwPERERaVH9/f1B7UqpOKX7sez/8v4MZcIXlxKRMDXl2MvmlGMv\nIiLdzub3wh4DQW2T8vCVYy9SXiNy7EVEREQ2tqQws19pnJ00my8itQvKsTezi83sIjPbeZPHibfG\ndl+6lfIF41K841PM41K8I9MSl1Hp/I6v1XPsS1VwzgOeZOOqOElUFUdEREREpMGCcuzNbGrxn390\n91dGPU7ULRfaKsdeRES6XUjKe2ite+XYi5RXd459mcH5rsCz7j5cZ99ERERERCQFtdaxHwROSbMj\nItVQvmBcind8inlcindkyrGPSud3fM2Kea0D+9XA39LsSCfI5XL65RERERGR1OXzeXK5XMU2NdWx\nN7OrgF3d/YDautZ5lGMvIiLdTjn2Io1XKce+1hn7fwNmmNmXzGyr2rsmIiIiUiezyjeRLlHrwH4h\ncB/weeBRM/vFWLXt0+uqyKuU8hSX4h2fYh6X4h1ZWjn22WxKO+psOr/ja/U69psaXcd+cvE2FtWx\nFxERkfT194e1K6biiHS6WnPsp4a2VR17ERGR7hA9xz5QPnBg35PtYWb/zLqPJ9JIddex31S3DNZF\nRESk/fUwxBpmJ7ZbM7AmQm9EGqfWHHuRplK+YFyKd3yKeVyKd7oSr2ONXMd+JgvJMJeMZ8a8dTKd\n3/G1W449AGb2OuAIYBYwAVgH/A74mbs/V3/3REREpH30A73N7oRI16opxx7AzI4CvgdMLLN5LXCq\nu/+4jr61FeXYi4hIt7PilHylv4fNyLEPSf5XrXtpF6nn2JvZQcASYANwKXAr8ASF6jgZYD6wxMzW\nuvtNtRxDRERERETC1ZpjfzbwEnCAu5/o7pe4+w3F+wXAAcArxXYiqVO+YFyKd3yKeVyKd2SRc+y7\nnc7v+JoV81oH9m8FrnL335Tb6O73AlcV24mIiIiISIPVOrB/CfhTQps/F9uJpC6TRs6lBFO841PM\n41K8I5vW7A50F53f8TUr5rUO7G8DDkxo865iOxERERERabBaB/ZnATPN7Mtmtt3oDWY23sy+AuwD\nfK7eDoqUo3zBuBTv+BTzuBTvdJnZmDdAOfaR6fyOr93q2H8OWAacCXzUzH4LPAnsDLyNQgnM24DP\njfwSF7n7STX3VkRERFpWNptlYGCg2d0Q6Vo11bE3sw21HtDdO3K1W9WxFxERSaY69iL1Sb2OPfCm\nOvojIiIiIiIpq2n23N1X1XpLuf8tJZfLKY8tEsU5LsU7PsU8LsU7smbl2JuNfetgOr/ja0TM8/k8\nuVyuYpuOTItpllwup5JSIiIirSabbXYPROqWyWQSB/Y15djL5pRjLyIikqwpOfYBlGMv7aIROfYi\nIiIiNSsN8Mc0ZzBOR0Q6iFJxpC0pXzAuxTs+xTwuxTuiFVnVsY9M53d87VbHXkRERKR6S/qBPJ6Q\n8mIajIpUTTn2KVGOvYiISLKAkvKFdoED+2xPD/0zZ9bXKZRjL+2jUo59cCqOmX3TzObYpkvJioiI\niFSpUuVJM2D1UNB+BtasaWxHRdpINTn2/wIMAk+a2YVmdoiZbd2gfolUpHzBuBTv+BTzuBTvmAqp\nOInuWwi3zsUzmTFvEkbnd3zNink1A/tdgI8BvwH+CbgO+IuZXWVmx5jZ6xrRQREREekkhwBzcafi\nTUSqV1OOvZltT+E38wjgYGA74EVgKfAz4Fp3fzrFfrY85diLiIgkK2X0Jv3NDKl3n2ate+XYS7tI\nJcd+NHd/1t2XuPuHgUnAYcCVwP7AD4A/m9ltZvYpM9ut1o6LiIiIiEiYuuvYu/sL7n69u58I7Ay8\nF/gOMBX4OvCImf223uOIjKZ8wbgU7/gU87gUb+lkOr/ja4cc+0Tuvt7dB939DGA3CjP45wHbpnkc\nERERERHZmOrYp0Q59iIiIsmUYy9Sn9Rz7EVEREREpLUEDezN7H/M7OO1HqTe14tsSvmCcSne8Snm\ncSne0sl0fsfX6jn2M4C/q+M49b5eREREREQq2LKKtplSXlyVanqRSCUZrTgYleIdn2Iel+ItnUzn\nd3zNinlVA/virVYa4IuIiIiINEhoKs68FG6XpNhv6XLKF4xL8Y5PMY9L8ZZOpvM7vmbFPGjG3t3z\nDe6HiIiIiIjUQXXsU6I69iIiIslUx16kPqpjLyIiIiLS4TSwl7akfMG4FO/4FPO4FG/pZDq/42v1\nOvYiIiIiItLClGOfEuXYi4iIJGtEjn2IbE8P/TNnjrm9lGMfoifbw8z+sfcl0kip59ib2RZmtlV9\n3eo8uVxOX3eJiIhEku3pCW47sGZNxe09DAXva81A5X2JNEI+nyeXy1VsEzxjb2bjgXOBw4Epxaef\nBf4bGAR+7O7319rZdqcZ+7jy+bxW0otI8Y5PMY9L8Y4nzRn74GOGVM8p9ouEfrVj9Ryd3/E1MuZp\nzdhfDDwKfBY4BTgfeAA4EDgb+L2Z5c3sPXX2V0REREREqlTNjP157n5WmedvBr4GZIGjgEnAD4Az\n3P2lFPva0jRjLyIikkwz9iL1SWvGfqKZ7Vzm+Zfd/RfufjrwBuAw4C3AoJltXX13RURERESkWtUM\n7M8DBsxsgZltWa6Bu7/i7te7ewa4EPhKCn0U2YwuUo5L8Y5PMY9L8ZZOpvM7vpavY+/uq4AjgdOB\nVWbWZ2Z7Vmh/EbBN3T0UEREREZFEVdexL6bXfBL4HNADvAD8FLgL+APwBPAK8PfAR939A2l2uFUp\nx15ERCSZcuxF6lMpx75sSk0lxQtiv2pm3wKOAY4ADgGO26TpncBHq91/pyu9oYmIVEMTB9JpEv8e\n5qJ0Q6SjVD2wL3H3F4BLgEvMbAsKF87uTGG2/jF3X51KDzuQ/kCLSDU0IdB4qvMdTzabZWBgILh9\n0umfzUJ/f52d6nA6v+NrVsyDB/Zm9o/AkLuv23Sbu68HHiveRERERMrq7+8PGvSUUnHIVR7ZD6zI\nAhrZi0B1dezXAdtRWGk2X7zdtulA38ymAZ8BngYu6JaZ+9Ac+2JeVIQeiUin0PuGdCObb7BHWNuk\nPHzl2EsnSSvH/kkKq82+E/gg8Glgg5kNs/FA/xHgdDPbiUKJTOXZi4iISHWWFO4qfagdmdUXEaC6\nOvbXuft33f1Ed58GTAPOAGYARwPXAWvM7F4z+ypwOPCm1HssIiKSMtX5jkvxjkvxjq9ZMQ+esXf3\nz27y+NFiHfvp7v6EmU0FMsAcCgP911KoeS8iIiIiIg1WzYx9Oc+7+xNQWMDK3S9x9xOB6cDPgN/W\n20EREZFGU8WQuFo63maVb22opePdoZoV83oH9m8ys103fdLdXwQ+Bnyizv2LtIypU6cybdq0ZndD\nREQaIZttdg9E6lbvwP67wG/M7LhiLfsRxRKYr9S5f+kw48aN2+i27bbbstNOO/H2t7+dj370o9xw\nww1s2LCh2d0sy8xUT1ykQykHOa6WjHd/f6EiTtKtDbVkvDtcy+fYl+PuS83sLAoLVX3LzG4E7qJQ\nz353Cik5IhsxMxYtWgTA+vXrWbt2Lffddx8/+tGPuPDCC9lvv/24/PLLmT69tU6fpUuXNrsLIiIi\nImMKrmNfcSdm+wLnAgfz6rcAw8CH3f2hug/QBlTHPsy4ceMwM9avX7/ZtqeeeorTTz+dH//4x0yZ\nMoV7772XSZMmNaGXIq2l2983pDuVviENKXeZSh37QKpjL81WqY59vak4ALj7f7v7IcDfUahzP8Pd\n39Ytg3pJx0477cSVV15JJpPh8ccf59///d83a7Ny5UqOP/543vCGN7DNNtvwhje8gRNOOIEHH3xw\ns7a5XI5x48Zx6623csUVV/D2t7+d7bbbjje84Q3867/+Ky+99BJQmInPZDJMmDCBnp4ejj/+eNas\nWbPZ/srl2F9yySWMGzeOSy+9lMHBQTKZDNtvvz0TJkzgkEMO4YEHHij7s65YsYIjjzySHXbYgfHj\nx3PggQcyMDCw0f5GGzduHHPnzi27rwULFjBu3Dgee2zzhZ/vvvtuPvShDzF58mS22WYbdt11Vz72\nsY/x5z//uWysKt1ERESktdWVirMpd18L3JvmPqW7mBlf/OIXyefzXHnllZx//vkj2+655x7e9773\n8dxzz3HYYYex55578j//8z9cdtllXHvttdx8883st99+m+3zW9/6Fr/4xS844ogjmDdvHr/85S85\n//zzWbNmDYceeijHHnsshxxyCKeeeiq/+tWvuOyyy/jLX/7CwMBA2f6V8/Of/5xrr72WbDbLaaed\nxv3338/AwAD33HMPf/jDH9hxxx1H2j7wwAO8613vYu3atRxyyCHMnDmThx56iCOOOIJs8eKtcsep\nlN9fbttFF13EKaecwmte8xoOPfRQpkyZwooVK/iv//ovrr/+eoaGhpgyZQoAc+fOLTt4f+yxx7jo\noot47WtfO+axRTpBPp9X5ZCIFO+4FO/4mhZzd694A46gULryw8A2Se279VYIZbLQdp3KzHzcuHEV\n27z44ou+5ZZb+rhx4/yRRx5xd/cNGzb4W97yFh83bpwvWbJko/ZXXXWVm5m/5S1v8Q0bNow8v2jR\nIjcznzhxoj/wwAMb7X+vvfbyLbbYwnfccUe/7bbbRrZt2LDBDzroIDczHx4e3ug4u+22m0+bNm2j\n5y6++GI3M99qq6186dKlG21buHChm5l/5Stf2ej5efPmuZn59773vY2e/8UvfuFm5mbml1566Ubb\nzMznzp1bNl4nnHCCm5k/+uijI88tX77ct9pqK58+fbr/6U9/2qj9Lbfc4ltssYUfccQRZfdXsm7d\nOt9nn318yy239J/97GcV20pjdfv7RgyDg4PN7kJXCYk3kHjuk8PJJf9+MDjopPR/PMigD5LOvmLR\n+R1fI2Ne/L0oOx5N/H7d3X8GLAT2Ae40sx+a2T+amb6bj6RUjSX2rVm23nrrkRnuv/zlLwDceeed\nLF++nAMOOIBjjz12o/ZHHXUU7373u1m+fDl33HHHZvs744wzmDFjxkb7P/roo9mwYQOHHHII73nP\ne0a2mRn/9E//BMCyZcuC+3zMMcdslipzyimnAIVvGkoef/xxBgcHmT59OqeeeupG7Q8++GDe9773\nBR+zku9+97u88sorfPOb3+T1r3/9RtvmzZvHBz7wAa6//nqef/75sq9/5ZVX+PCHP8x9993HV7/6\nVQ4//PBU+iXSqjSbGZfiHZfiHV+zYh6UiuPuDwBnA2eb2TuB+cBXzOw2YIm739XAPkoX8uLFUqUP\nGL/9bWGts3nz5pVtP3fuXO644w6Gh4c3GqgDZdNzSoPdt7/97Ztt22WXXQD44x//GNzfcsd44xvf\nCMAzzzwz8tzw8DAABxxwQNn9HHjggdx8883Bxx3LXXcVfiXz+Tx33333Ztufeuop1q9fz/Lly3nb\n29622fbTTjuNm266iU984hN86lOfqrs/IiIi0nhV59i7+6+BXxfr1s8DTjGz7wADwOXu/oeU+9j1\nSoPcbvHCCy+MXLxaqoqzbt06gM1mn0tKz69du3azbRMmTNjsuS233DJx28svvxzc54kTJ465n9EV\ngEo/x84771x2P2M9X63Vq1cD8NWvfnXMNmZWdsZ+8eLFXHjhhRxyyCH8x3/8Ryr9EWl1ykGOS/GO\nS/GOr1kxr/niWS8sQHUTcJOZbQv0An3FlWh/Alzh7o+n003pJnfccQfr169n8uTJ7LprYWHj0gD8\niSeeKPuaUpWXcgP1VrL99tsD8OSTT5bdPtbzUEiPKWesDzNmxrp16xg/fnxw/6666iq+8IUv8La3\nvY0rr7xSC3KJiIi0kbTKXb7g7j9x9w8D7wf+AvyXmeXN7GNm1pPGcaTzbdiwgXPPPReA4447buT5\nUrrI4OBg2deVni+XVtJK3vrWtwKFVJly38SUu0YAYIcdduDxxzf/nLx+/XqGh4c3G4AfcMABuDu3\n3XZbcN9+9atfccIJJzBlyhR+/vOfqxKOdBXNZsaleMeleMfXrJinfgGsu69z94vc/R+BY4BtgevM\n7OdmdpyZabQgZT311FMcc8wx3Hrrrey22258/vOfH9l24IEHMmPGDO644w5+8pOfbPS6q6++mjvu\nuIMZM2bw7ne/O3a3qzJlyhQymQwrV67k+9///kbbbrjhBm655Zayr9t///159NFHuemmmzZ6/ktf\n+lLZ+vX/8i//wlZbbcWnP/1pVq5cudn2l156idtvv33k8YMPPsjhhx/OtttuS39/P5MnT67lxxMR\nEZEmCk7FMbMz3X3shN0y3P0J4BvAN8zszcBxwJXAoVX1UjqKu9PX14e7s2HDBtauXcv999/PHXfc\nwcsvv8z+++/P5ZdfTk/Pxl/0XHrppRx00EEcffTRHHbYYcyYMYPly5dzzTXXsP322/PDH/6wST9R\ndS644AIOPPBAPv7xjzMwMMA+++zDww8/zE9/+lMOO+wwrr322s1qyn/2s5/ll7/8JYcddhhHH300\nO+ywA3feeSerVq0ik8mQL66qWDJjxgwuuugiTjrpJPbaay8OPvhgpk+fzssvv8xjjz3G7bffzs47\n78wf/lC4JOaMM85g9erVzJs3j6uvvpqrr756o/2ZGYsWLWpoXESaSTnIcSnecSne8bVDjv1HgKoG\n9qO5+4PAObW+XjqHmdHX1wcUSk9uv/327LbbbixYsIAjjzyS97///WVf9853vpN77rmHL33pS9x8\n80696ckAACAASURBVM1cf/31TJo0ifnz5/Nv//ZvTJ8+fbPjjJUjXktJz7EWjap2P3//93/PXXfd\nxec//3mWLl3K0qVL2Xfffbnmmmu4//77ufbaa0dy8UvmzZvHNddcwznnnMOVV17J+PHjOeigg/jx\nj3/M2WefXbYP8+fPZ9999+VrX/sag4OD3HjjjYwfP55ddtmFo446iqOPPnqk7d/+9jfMbKQ/5X5O\nDexFRERam4VWXDGzDUAO+K67P93ITrUjM/OQWJpZ11W5kXDz58/niiuuYPny5Zt9UJHupfcN6Ual\nCYtK5771Fdssqvz7YcVvNT2FGdS8FfaV8fr3JVKL4t+EsrOK1czYvwg8C3zOzCYD64A7gVvdPbzg\nt0iXc3eefPLJzfLYb7nlFq666ir22msvDepFRBrANklb3FS2p4f+mTPjdEakAaoZ2A+5+zdKD8xs\ne+DdwCfMbDfgeWCIwkD/wXS7KdI5XnzxRaZMmcK8efOYMWMGW265Jffffz833XQT2267LRdccEGz\nuyjSdZSDHFfseGd7ehgoro9SSUibdqTzO752yLHPjn7g7s9SWJRqAMDMXgO8C/g/ZvYO4HZgqbv/\nIKW+NoWZLQTOBS5w99Ob3R9pf1tvvTWnnXYaS5cu5e677+avf/0rkyZN4uijj+ass85i3333bXYX\nRUQ6SsgsfNJsvkg7CM6xr7gTs62Ao4DTKAzuAR6gMBhu2+lHM5sNLKGQgnSbu59Roa1y7EWkIfS+\nId0ozRz7oOMF5uGXcuyT9GR7mNmvtB5JX6Uc+7rq2JvZNDM7D/i/wI+Ad1JYdfa97r5nmw/qJwCX\nAScCzzS5OyIiItICehgKardmoDPTeqS1VZOKA4CZjQN6KczO/yNgwJ+APuAH7v7nVHvYPD8Afuzu\nt1q19QxFRKStKAc5rnaO90wWFv5R4ZuE0Fn9WNo53u2q5XPszWxn4GTgFGBK8elB4DvANe6+Pv3u\nNYeZfRR4E4UFtQD0HbiIiIiItLRqZuxXAdtQKHP5LeA77r68EZ2KxczmA98b9dTBwF8oXCz77lEf\nVqx4ExGRDqTZzLgU77gU7/iaFfNqBvbbAA8BnwFudve/NaZLGzOzDwFzgFnAvsB44HJ3/+cKr3kj\nhVVuDwZ6gD8D1wB97r52VNNrgbtGPf4TcAzwd8D9ozJwtgDeY2anAtu5+8sp/GgiIiKSgtJFtJVk\np2fpP64/Qm9Emqeai2fvAo4EdgP+08x+Ymb/bmbvN7Ptyr3AzE5KoY9fBD4BzARKC2GNmRpjZrsD\nvwEWUKir/3XgYeCTwF1m1lNq6+7PufvDo24vAD8D9qbwIWJfCh8o7gWuAGZpUC8i0nnyKnUYVWrx\nXpFNblM0sHIgnWO2IZ3f8TUr5tXM2D/u7suAZcC3AcxsBvAe4Bgzex2FdJ08cHuxzv3ngYvq7OOn\nisd+yMzmUMjrr+Q7wCTg9NFVeczsa8CnKaTZnDbWi919HYV0oxFm9lfgGXf/Q20/goiIiKRuSWEG\nPqkabMiMvkgnSKWO/cjOCivQvofCirQHAHu7+xYp7j8DLAUuc/fjy2zfHVgJPOLuu2+ybTzwBIXZ\n/p3d/a9VHHcQ+L3q2ItIM+h9Q7pRUB374ng9dGBfqd59aB37kIOWquJkPGFfIjWoVMe+6nKXlbj7\no8CjwGVm9nrgwTT3H2Bu8f7GTTe4+3Nm9ivgIGA2hQ8IQdx9bnIrEREREZHmqWuBqkqK9ezvbdT+\nxzCjeL9ijO0ri/fTI/RFarRq1SrGjRvHiSeeWPe+pk6dyrRp01LolYh0MuUgx6V4x6V4x9fyOfZm\n9o/AUDEHPdSx1XepLhOK92P1sfT8xEYcfMGCBUydOrVwgIkTmTVr1ki5I/1SFYwbV/mz5CWXXMKc\nOXOAV7+GrZfWF5NOMHqxk9L7iR6n93h4eLil+tPpj0PiXZK0P8iTzycc/xFgWuX9hR6v1DpTof0w\nw8xiVtj+WiTeepzu45K0/v/Wri0UdVy1ahWVBOfYm9k6YDvgvymc13ngtk0H+mY2jUJJzKeBC9x9\nddABwvqQoXKO/Q8oLKJ1srtvdtGumZ0LLAQWuvuX0+pXcd/KsQ8wbtw4zIxFixaV3X744Yez5557\n8vDDDzNhwgR23nnnuo43depUxo0bx8MPP1zXfkSaqdvfN6Q7KcdepLy0cuyfBM4H3gl8kEKFmQ1m\nNszGA/1HgNPNbCfgPOCjtXe9aqUPGRPG2F56fu0Y2yWSs88+u+L2PfbYI1JPRERERDpDNTn217n7\nd939RHefRuFLrTMo5LUfDVwHrDGze83sq8DhwJtS73FlDxTvZ4yxvZRbP1YOvrSAsXLsFyxYwLhx\n43j00Uf5/ve/zz777MNrXvMaJk+ezKmnnsqzzz4bfIwlS5awzTbbsNdee/Hoo4+OPP/AAw+wYMEC\npkyZwjbbbMPkyZOZP38+K1bolBHpZJt+fS6NpXjHpXjH16yYB8/Yu/tnN3n8qJntCUx39yfMbCqF\nlLM5FAb6rwVOT62nYUo17g+yTXJjinX2DwSep7BwlbS4sXLjzzzzTG688UYOPfRQDj74YJYuXcp/\n/ud/8uCDD3LLLbck7vcrX/kKCxcu5MADD+S6665j4sTCJRc33HADH/zgB1m/fj0f+MAHePOb38zj\njz/OT3/6U/r7+xkcHOStb31rqj+jiIiISFrqLXf5vLs/AeDuq4BLgEvMbBsKi1j9ts79V8XdHzaz\nG4H3U1it9tujNvdR+LDxPXf/W8x+ycbcnb6+vs3yJqdNm8YJJ5yQ+Ppf//rX3HfffbzxjW8EYP36\n9cybN4/BwUHuuece3vGOd5R93YYNG/jkJz/JBRdcwJFHHsnll1/O1ltvDcAzzzzDsccey/jx47nt\nttt4y1veMvK6+++/n9mzZ3PyySfzm9/8ptYfW0RaWCYpr1pSpXjHpXjH16yY1zuwf5OZ7eruj41+\n0t1fNLOPUcjJH3NRpxBmdjiFtB6AycX7d5nZJcV/P+3uZ456yceBO4H/MLP3UkjP2Z/CtwnLgS/U\n059maFZRl0Zeq9fX17fZc5lMJmhgf/bZZ48M6gG22GILTjzxRG6//fYxB/Yvvvgixx57LNdccw1n\nnHEG3/jGNzba/sMf/pB169ZxwQUXbDSoB9hrr734f+3deXgUVbrH8e9pEiBsgYAsAhI2EWZABUUg\nLCEoYhCURdwF9ILriMwVvYxLEpdREBEURx1nFBUVER1QWRQhEdDggAoqu0JAQGSHYRNIzv2juzPp\npJN0kk510vl9nqeekKpTVadeOp23T9469T//8z9MnTqV9evX07Zt20AvU0REHFDo7GfJjnRDJORK\nmti/BHxjjBkDvGetzfRusNZmGmPOlPD4AOcDt+B+Yiyer835b/1+BpCd2HtG7S8CHgP6AYnALmAK\nkFLE6TqLJDk5mfj4eH0yLoQxhszMzMIb5uOiiy7Ks86b6B88eDDPtuPHj5OQkMCKFSuYOHEi999/\nf5426enpAKxevZrk5OQ827019krsRcJTWo7pRKX0Kd7OUrydVxoxT0tLK7R2v0SJvbV2iTHm/3CX\n4LzgKYNJB7YDLQnCg6CstSm4y2iKss8O4NaSnruo/CWEwaBZ7nx5a+Jziohwv5T9fWD4z3/+w3ff\nfUetWrXo27ev32Pu3++elfXVV1/N97zGGI4dO1acLouISCkqbDpY73SXIuWZd/DYX9WDV4mfPGut\n/SdwMe6E/hrcI+MfAjcC95X0+CIl1aBBA+bNm8fp06fp3bu33zr56Gj3TKjff/89WVlZfpfMzExu\nvvlmp7svIg7QaKazFG9nKd7OK1c19saYSoDLWnsawFq7BrjSGFMbaAUcttZuDl43RUqmd+/eLFy4\nkP79+3PppZeyYMECunTpkr29a9eufPjhhyxdupQ//vGPIeypiIiUCwXW9bsn6fM+qKogMYkxdJjX\nITh9kgov4BF7Y0wNY8xUY8w24DTwuzHmkDHmC2NMsjHmD9baQ9baVUrqpSzq3r07ixYtwhhD3759\nWbp0afa2kSNHUrt2bVJSUli5cmWefbOysjQPsEgY08+3s8p1vBMTC20SU4RZtQ/MP1CS3gSkXMe7\nnCrz89gDr+Mut7kf9xNc2+KeFz4O6AE8aoxZCjxirV0W7I6KBEPnzp1ZsmQJl112GYmJicyZM4dL\nL72UmJgYZs+ezaBBg+jSpQt9+vShXbt2GGP45ZdfSE9P5+DBgxw/fjzUlyAiIqE0b16hTToEOJ1d\nWvbjd0SCoyg19j9baydba9+31v7DWvu/1touQBrQH3gRd7L/hTHmZWNM5VLor1RgxpjCpzTzs09u\nF1xwAWlpadSsWZOBAweyYMECABISEvj++++56667yMjI4JVXXuH1119n3bp1XHrppcycOTMo1yEi\nZY9qkJ0V9vEOYFTfSWEf7zIoVDE3hd1Jnt3QmJeBJGvtb7nWL7DWXuH5dwRwBfC/QCTQ21p7Krhd\nLptyPei2oHaF3r0vIpKT3jekIgpsIMf9c1HYj4d3VhyblH9D4ymdsA4mZN4a/Hjr3Dml/PP8TvD7\nA1KUEfungfnGmBGeBD4Pa+0Za+3H1tp44J/AxCL3thxLTk5WHZuISDmk925nBRLvxDI26l2e6fXt\nvNKIeVpaWqFTqwec2FtrM4AhwJ+ADGNMijGmXQHtXwOqBHr8cOB9QJWIiIiUzLx587DWFriIVCTx\n8fGFJvYBl+Jk7+CunR8DPAjEACdxz1ufDqwDdgNncNfbj7LWDihqx8sjleKISGnR+4aIf95qHZXi\nSEVSUClOkeex99TMP2OMeQG4DhgEXAnckKvpV8Cooh5fRERERESKrthPnrXWnrTWTrfWXgXUBWKB\nS4BOwFnW2u7W2vXB6aaIiEjpUQ2ysxRvZynezisP89jny1qbCWz3LCIiIiIi4rBij9iLiIiEC018\n4CzF21mKt/NCFXMl9iIiIiIiYUCJvYiIVHiqQXZWsONtTMFLRafXt/NCFXMl9kGkB1SJiIg4R8+w\nkookkAdUFXkee/FP89iLSGnR+4ZIyWgeewknBc1jrxF7EREREZEwoMReREQqPJVROkvxdpbi7TzV\n2ItIicXGxtK8efOA22dkZOByuRg5cqTj5xYREZHgCsoDqkQC5XIV/Fny9ddfZ/jw4Q71JjyZYkwB\nUZx9/B0jGMcRCQXN8+2sUMXbW2vvV69U5zriML2+nReqmCuxF8cZY0hKSvK77cILL3S4NxVbkyZN\n2LBhA9HR0SU+1pIlS4LQIxGRUrApEc6dH+peiJQ6zYoTJJoVJzAulwtjDJmZmaHuSliKjY3F5XKx\nZcuWUHdFgqiiv284IS0tTaOaDnI63t4/Jhb0YxTOs+Lo9e280oy5ZsWRciVn3femTZu49tprqV+/\nPpUqVeKLL74A4JtvvmHMmDGcf/751K1bl6ioKM4991zuv/9+Dh06lOeY06dPx+Vy8cYbb5Camkp8\nfDy1atUiOjqaK6+8kg0bNvjty/Hjx5kwYQIXXXQRtWrVombNmrRr144xY8awZ8+ePG2feuopLrjg\nAmrUqEHNmjXp1q0bM2fO9HvsN954g27dunHWWWcRFRXFOeecQ79+/Zg1a1aetjt27ODee++ldevW\nVKtWjbp163LJJZfwxBNP5NvvcePGcc4551C1alVat27NxIkTC4x1TiNGjMDlcrFt2zZeeeUV2rdv\nT1RUFA0bNuT222/nyJEjeY6lGnsREZHQUimOlFk///wzXbp0oU2bNtx8882cOHEiu2Tk1VdfZc6c\nOcTHx9O3b1+ysrJYtWoVkydPZsGCBXz99dfUqFEjzzE/+eQT5s6dS2JiInfeeSdr165l/vz5rFy5\nknXr1lG3bt3stgcPHqR37958//33nHfeedx2221UrlyZn376ienTpzNkyBDq168PwKFDh0hISGD1\n6tV06tSJ2267jaysLBYuXMgNN9zA2rVrefzxx7OP/Ze//IWnn36aFi1acN111xEdHc2uXbtYuXIl\ns2fPZtiwYdltV61axeWXX87Bgwfp1asXQ4cO5fjx46xdu5aUlBQefvhhn2s8deoUffv25ddff6V/\n//5ERETwr3/9i//7v//j5MmTPProo3nikl9t/Lhx4/jss88YOHAg/fr1Y8mSJbz66qv89NNPLF68\nOODjiJR1Gs10luLtLMXbeSGLubVWSxAWwCYlJdnU1FRbEHfIKy5jjDXG2OTkZJuUlOSzTJ8+3Vpr\n7datW7PbPfTQQ36Ps23bNpuVlZVn/T//+U9rjLETJkzwWf/6669bY4yNjIy0S5Ys8dk2fvx4a4yx\nEydO9Fl//fXXW2OMveuuu/Kc59ixY/bw4cPZ3w8fPtwaY+wzzzzj0+7kyZO2X79+1uVy2dWrV2ev\nj4mJsU2bNrUnTpzIc+x9+/Zl//v333+3sbGx1uVy2XfffTdP2507d/p836xZM2uMsf3797cnT57M\nXr9nzx5bu3ZtW7t2bXv69Ons9d5Yjxw50uc43utp1qyZ/eWXX7LXnzlzxvbs2dMaY+y///3vPOdu\n3rx5nj5KyVX09w2RknIX4RTSJjU14CVxzZqg9CuVVJtKalCOJeEvNTXVJiUleX8n+M9H89ugpeiJ\nfSCK9Qva+47k9FIKvAm7v6V3797W2v8mm40aNbKnTp0q0vGzsrJsrVq1bJ8+fXzWexP7m2++Oc8+\n3vNdc8012et+++0363K5bOPGje3x48cLPOe+fftspUqVbOfOnf1uX716tTXG2AceeCB7Xd26dW2L\nFi3s77//XuCxZ8+ebY0x9uqrry6wnVezZs2sy+WyP//8c55tt9xyizXG2LVr12avKyyx/+c//5nn\nON5Yvvjii3nOrcS+dCixL32FDcpIcDkd74AS+9lPFSm5DwanEnu9vp1XmjEvKLFXKY44LtCbZ88/\n/3wiIyP9bjt9+jSvvPIKM2fOZN26dRw5coSsrKzs7Tt37vS730UXXZRnXZMmTQB36Y3XypUrsdbS\ns2dPoqKiCuznypUrs8+dnJzst68A69evz15344038sILL9CuXTuGDRtGr1696NKlS57ZaVasWAHA\nFVdcUWAfcoqOjqZFixZ51jdt2hTwvc7CBBovEZFy78fxANikgm9UN3rYk5RhSuzLA1sxZ8No2LBh\nvtuuvfZa5syZQ8uWLRk0aBANGzakSpUqWGuZMmUKv//+u9/9ateunWddRIT7xyDnhw3vDbiNGzcu\ntJ/79+8H3An+ypUr/bYxxnDs2LHs75977jlatGjB66+/ztNPP83TTz9NREQEiYmJPPvss7Rs2bLI\n/fDyd43g/zqLc6ziHEekrFMNsrMUb2cp3s7TPPYiueR3I+aqVauYM2cOl112GQsWLPB56JW1lgkT\nJpT43HXq1AHyH/nPyTvK/uc//5lJkyYFdHyXy8WYMWMYM2YMe/fuZfny5cycOZP333+ftWvXsnbt\nWipXrpydWO/YsaOYVyIiImWdd9rL/MQkxtBhXgdnOiPlmqa7lHLnp59+AmDgwIF5nmT79ddfc/Lk\nyRKfo3PnzhhjWLp0KcePHy+w7SWXXILL5WLp0qXFOtdZZ53FoEGDeO+99+jduzc///wza9euBaBr\n164ALFiwoFjHFpHApKm8wlGKt1sMKwJqd2D+gRKdR/F2XqhirsReyh3vXOmpqb6P/96zZw933313\nUM5Rr149rr/+enbt2sX999/vvUE629GjR7Pncj/rrLO48cYbWbVqFU888YRPrb/Xzz//TEZGBuCe\njvLLL7/M0+b06dMcOHAAYwzVqlUDYMCAAcTGxvLRRx/5nQ9fI/kiIuVXB8YTT+8CF5GiUCmOlDsX\nX3wxcXFxfPjhh8TFxREXF8dvv/3GwoULOe+88zj77LPzJOLFMW3aNH788Udefvll0tLS6Nu3L5Ur\nV2br1q189tlnfPzxx/Ts2TO77ebNm3n00Ud56623iIuLo0GDBuzatYv169ezatUqZs6cSWxsLMeP\nH6dHjx60atWKjh070qxZM06ePMmiRYvYsGEDV111FW3atAEgMjKS999/n759+3LDDTfwyiuvcMkl\nl3Dy5EnWr1/PkiVLsm/OFZHiUw2ys8Ih3oXdRJsYE8O8DoWUzyQmwvz5wetUPsIh3uWNauxFAuRy\nufjoo494+OGHmT9/Pi+88AJNmjRh1KhRPPTQQ7Rr1y5Pfb4xpsgPT6pduzZfffUVU6ZM4b333uPV\nV1+lUqVKnHPOOdx22220bds2u23NmjX54osv+Pvf/84777zDhx9+yMmTJ2nYsCGtW7dmypQpXHrp\npQDUqFGDCRMmkJqaSnp6OnPnzqVWrVq0bNmSl19+mVtvvdWnH506dWL16tU8/fTTLFiwgK+++opa\ntWrRqlUrn4deea8zP0WJQXHipYdTiUhFkBgTw/wDhZfGBNKGefMKb1NI/b1ITiYYI5sCxhgbSCyN\nMUEZTRaRikPvG6UvLS1No5oOcjreAY07JLsbFTbdZUDn84zm2yBco/fG2nhb/GPp9e280oy553eC\n31e1auxFREQkzAUwMi4SBjRiHyQasReR0qL3DZGS8ZYKFvRzZFICLydMbJ3IvBvy/7BQ1kbsJbxo\nxN4hycnJmlJKRESkPNqUGHDT+ZtL/4ZXkdzS0tL8PuE+J43YB4lG7EWktOh9o/SpBtlZztfYBzBi\n7xn/LOxHzTuyX1Atflkbsdfr23mqsRcRERERkWJTYi8iIhWeRjOdpXg7S/F2XqhirsReRERERCQM\nKLEXEZEKTxMfOCsc4u19kJ+/pawJh3iXN6GKuRJ7EREREZEwoMReREQqPNUgOysc4m2tzXcpa8Ih\n3uWNauxFRERERKTYlNiLiEiFpxpkZynezlK8nacaexERERERKTYl9lJujBgxApfLxfbt27PXZWRk\n4HK5GDlyZAh7JiLlnWqQnaV4O0vxdp5q7KXC2bRpE3/+85/p2LEjMTExVK5cmbp169KlSxfGjRvH\nt99+69O+oGnEyuL0YiIiIiJOUmIvIZGSkkLbtm2ZMmUKlSpV4vrrr+fBBx/k5ptvJioqihdeeIGL\nLrqIv/3tb9n7PPXUU6xfv56zzz47hD0XkXCkGmRnVZR4m7S0Qpf+339f6v2oKPEuS0IV84iQnFUq\ntJSUFFJSUjjnnHN499136dq1a542e/fuZcqUKRw5ciR7XcOGDWnYsKGTXRURESm6FSugS5eAms4/\ncCCgdial8L9MJ7ZOZN4N8wI6noQnjdgHUXJysj4VF2LLli088cQTVKlShQULFvhN6gHOOussnnzy\nScaNG5e9zl+NfX68bTMyMpg2bRrt2rUjKiqK5s2b89RTT2W3e//99+ncuTM1atSgQYMG/OlPf+Lk\nyZN+j7l48WL69etHTEwMVatWpU2bNowfP97nw4dXfHw8LpeL06dP89hjj9GmTRuqVq3qcy/Ajh07\nuOeee2jRogVVq1alXr16XHXVVaxatarQ6xOR4FINsrPCPt7jx0Pv3tj4+AKXYJu/eb7f9WEf7zKo\nNGKelpZGcnJygW00Yh9EhQVb4PXXXyczM5PrrruOtm3bFtq+UqVKPt8XtZb+/vvvJy0tjYEDB9Kv\nXz/mzp3LQw89xKlTp6hTpw7jx49n0KBB9OrVi88++4wXX3yRzMxMnxIggFdeeYU777yTmjVrcs01\n11C/fn1SU1OZMGECH3/8MV9++SXR0dF5zj948GBWrVpFYmIigwcPpn79+gB8++239O3bl4MHD9Kv\nXz+GDh3K3r17mTNnDt27d+df//oXV1xxRZGuVUREwpdNKvjBV4GM6Ev5Fh8fT3x8PCkpKfm2UWIv\njvryyy8BSEhIKNb+RX2i37fffssPP/xAo0aNAEhKSqJVq1Y888wzVKtWjW+//ZY2bdoA8OSTT3Lh\nhRfy2muvkZKSwllnnQXAtm3buPfee6lVqxb//ve/Offcc7OPf/fdd/PSSy/xwAMP8Morr+Q5/y+/\n/MLatWuJiYnJXnfmzBmGDRvG8ePHSUtLo0ePHtnb/vrXv3LxxRdz2223kZGRQeXKlYt0vSJSPGlp\naRrVdFCo4l3w4FDZe2JssOj17bxQxVyJfTkQqk/hhY0OFMfu3bsBaNy4cZ5tGRkZTJ8+3WddnTp1\nGDNmTLHP98gjj2Qn9QDR0dEMHDiQ119/nfvvvz87qQeoXLky1157LcnJyWzYsCE7sZ8xYwanT59m\n3LhxPkk9uD8MvPXWW8yYMYMXXnghTyL++OOP+yT1APPmzWPLli2MGzfOJ6kHaNSoEePGjWPs2LEs\nXrxYo/YiIkGQmJjI/Pn+y1REwokSeykzMjIyeOyxx3zWNWvWrESJ/UUXXZRnnTfR79SpU55t3hl3\nduzYkb3OO+2mv78y1K5dmwsvvJBly5axYcMGOnTokL3NGEPnzp3z7JOeng64r9df+dbmzZsBWL9+\nvRJ7EYdoNNNZTsd73rzCbygN51mT9fp2XqhirsS+HCiNkfNQadiwIRs2bGDnzp15tsXHx5OVlQVA\nZmYmkZGRJZ6f3l/de0RERKHbTp8+nb3u8OHDAD4j/zl513vb5dSgQYM86/bv3w+4b9zNjzGGY8eO\n5btdREREJDfNiiOO6t69O+CeYaYgRa2lL03eDwC//vqr3+3e9f4+KBR0vI8++oisrCy/S2ZmJo88\n8kgQei8igdCMZs5SvJ2leDsvVDFXYi+OGjFiBBEREcyePZsNGzaEujsB6dixI+D/h/TQoUOsXr2a\nqKiogGb5AbKn+Fy6dGnQ+igiIuWX98nq/haRolBiL45q0aIFDz/8MKdOneKKK67IrjfP7dChQw73\nLH833XQTkZGRvPDCC/z8888+2x555BH+85//ZLcJxFVXXUXLli158cUXWbBggd826enpnDhxosR9\nF5HAqAbZWYq3sxRv56nGXiqMRx99FGstjz/+OHFxcXTq1ImLL76YmJgYDh06REZGBp9//jnG1xcB\nIwAAIABJREFUGHr27Bnq7tKsWTOmTJnC3XffTceOHRk2bBj16tXjiy++YMWKFbRt25YJEybk2S+/\ncqKIiAg+/PBDLr/8cvr370+3bt04//zzqVatGr/88gsrV65k69at7N69m6ioqNK+PBERCbGCyk/T\nTJpzHZFyTyP2EhJJSUmsW7eO++67jzNnzvDuu+8yceJEZs6cyd69e7n77rv55ptvfKa/LMqfJQtq\nW5xtd955J59++ildunThgw8+4LnnnmPfvn088MADpKenU7t27YDPAdC+fXvWrFnDgw8+yOHDh5k+\nfTovv/wy3333HZ06dWLGjBnUrVs3oGsVkZJTDbKzFG9nKd7OC1XMTVm6SbE8M8bYQGJpjClTN4aK\nSNmn943Spwf4OKssxts7FlPYj5r32TIFzVjnHdgp7OfWeJI/W0AsvCP28Tb/NoX1qyzGO9yVZsw9\nvxP8jh5qxF5ERCo8JT3OUrydpXg7L1QxV2IvIiIiIhIGlNiLiEiFpxpkZynexWBMwUsBFG/naR57\nEREREREpNiX2IiJS4akG2VmKdzFYW/BSAMXbeaqxFxERERGRYlNiLyIiFZ5qkJ2leDtL8XaeauzD\nQHJysn54RERERCTo0tLSSE5OLrCNHlAVJHpAlYiUFr1viJS+cH5AlYQXPaBKRERERCTMKbEXEZEK\nT2WUzlK8naV4Oy9UMY8IyVlFREREJGDekpz8pJLKitYrIKmARv37w/z5gZ0wMRHmzQu4f1I2qMY+\nSFRjLyKlRe8bIqWvrNbYP33u03TZ3KXgTuVQYC1+IU+ozUPvO2VSQTX2GrEXySE2NhZjDFu3bi3W\n/i6Xi169epGamhrknpXvvpTE6dOneeKJJ3jnnXfYvn07p0+fZs6cOXTo0IEWLVowfPhwXn/99VB3\nU0SkVIy/cTxQ+E2xhY3o+yj000sRPwBImaEaewkJl8uFy+X/5ffTTz/RsmVLXC4XDz/8sKP9MsZk\nj7SU5BhOmj59Oi6Xi6VLl4a8L/lJTk7Ot4+FefbZZ3n88cdp0qQJDzzwAMnJyZx33nnZ23Nf44gR\nI3C5XGzfvt3v8eLj42nevHmR+yHhTTXIzlK8naV4O0819lLh+Es6v/nmGxITEzlw4ADTpk3jrrvu\ncrRPS5YscfR8UrhPPvmEmjVrsmjRIiIi/vuWdebMGTZs2EB0dHSefQr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iAAAO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\nkTCgxF5EREREJAz8Pxx2BnJ38FPuAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe542212d90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Jch4Gd18DfBn48rirDkdT6QZ0rpldCXzF3W9v9lgJ1b6zu65O1mfN7GbgYCrz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"text/plain": [
"<matplotlib.figure.Figure at 0x7fe542d9a590>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import src.distribution\n",
"simus = [\"Dominguez\",\"Finke\",\"Franceschini\",\"Gilmore\",\"Kneiske 'best fit'\",\"Kneiske 'lower limit'\"]\n",
"colors = ['k','b','r','g','c','m','y']\n",
"src.distribution.drawSpectrum(simus,colors=colors,yrange=[1e-4,2e-1],Erange=[1e0,1e3])\n",
"src.distribution.drawArrivalAngle(simus,colors=colors,yrange=[1e-5,2e-2])\n",
"src.distribution.drawTiming(simus,colors=colors,yrange=[1e-5,2e-2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On the other hand the extragalactic light (EBL) can affect the absorption of the gamma-rays. Figure \n",
"shows the spectrum Acomputed for a source emitting isotropically with a spectral index of 2 at a \n",
"redshift z=2 using 6 different EBL models \\citep{franceschini_extragalactic_2008,\n",
"dominguez_extragalactic_2010, finke_modeling_2010, kneiske_lower-limit_2010,\n",
"gilmore_semi-analytic_2011}. Differences only appear at energy up-to 1TeV and are due to the \n",
"probability of gamma-rays absorption. Then the model chosen will impact the cut-off energy\n",
"with respect to the results shown in Target_spectrum_and_absorption.ipynb.\n",
"\n",
"\n",
"### EGMF"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import src.distribution\n",
"simus = [\"EGMF=1e-13G\",\"EGMF=1e-15G\",\"EGMF=1e-17G\",\"EGMF=1e-20G\"]\n",
"colors = ['b','k','g','r','c','m','y']\n",
"src.distribution.drawSpectrum(simus,plot=\"1month\",colors=colors,yrange=[1e-3,2e-1])\n",
"src.distribution.drawArrivalAngle(simus,colors=colors,yrange=[1e-5,2e-2])\n",
"src.distribution.drawTiming(simus,colors=colors,yrange=[1e-7,2e-2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The spectrum generated by the cascade depends also on the extragalactic medium. The extragalactic \n",
"magnetic field (either amplitude or coherence length) has no impact on the spectrum integrated over\n",
"the full-sky and with an infinite integration time. If a limited aperture is applied, then part of \n",
"the photons too much deflected are not taken into account. This deflection is directly\n",
"related to the EGMF. For the same reason, applying a finite exposure time, corresponding to a finite \n",
"time of activity of the source, will alter the spectrum shape depending on the EGMF strength. This has been shown in \n",
"\\cite{taylor_extragalactic_2011}. Figure shows the\n",
"spectrum integrated over the full sky and a time range of 10 years. Impact of the EGMF can\n",
"be seen on the 10 GeV - 10 TeV region of the spectrum. "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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GjQDom/qUoKAgXQTtAGIsFg7Hxl43vOhQbCzRt+g9cDMMGnl4XJcc3OfpideN\nXWDZUGDfF9kQFBR0XR2UPRTopEEpddIwjI3oFZ4HAl9mOBwIeABzlFK3Xo4wiwICAnLzdCGEEOKW\nlIIffoAPP4TgYL3vscf0Ss4+PjefvytiF0PWD+HP8D8BaFq5KVPbTcWvll/+NVqYjh7VicLixXpm\nI9BTlz79NPTpAx06gJubfduYgTWt9iC15iBteNGJhIRbnu+VWnuQcXjRnXoPRM6kfTgdGBhotzY4\nXU2DYRhdga6pm5XRCcFJYFvqvotKqfcznF8HvbJzJeBH9JAlX/QEA/8CDyulruSiPVLTIIQQwuZ2\n7tQrOW9L/d+tQQNd5PzUUzcXOYdHhTPi1xEsPqRXcqtUohLjnxhP76a9pW4hv0VFwf/+p5OFP/80\n9zdsCK+/Dr166aJlO4tOqz3IMLzocCa9B+m1B6k9CLntPRA5Y8+aBmdMGsagV3O+seFpATyllKpz\nw3OqA2OB9kB54AywCghUSt1uOtastkeSBiGEEDYTEqKLnJct09sVKui1F9588+YPpeOS45j8x2Q+\n3f5pet3Cuw+9i/+j/pQqWirf215oKQW//64The+/17MhAZQsqRfL6NMHfH1ttuBZdlhvVXuQSe9B\nZXd3c1hR6te7pPfAYUjS4MQkaTDJmEOTxMIksTBJLEwSC00pxUsv9Wfp0jlcvWowfjxMn66nqC9W\nDIYO1UOTSpe++Xnf/fUdH276kPCocAB6NO7BpCcnUadsnVv8JOfgdO+L8HD49ltYuBCOHzf3t2ql\nE4Xu3XNcxJyTWESn1R5kGF50p96DG4cXVXLA3gOne1/kIZk9SQghhCiEVqzYwA8/XKZPn42sXt2O\nyEi9/+WX4ZNPoEaNm5+zI3wHQzcMZUe4nsOjWeVmTGs/jcdqPpaPLS/EEhNhzRrdq7Bhg16pF6Ba\nNejdWz/q1cvVj1BKMW/xYlq1anXL9QSsShGSVnuQoQfhZCa9B2lJQVoPQkMPD9yk90Bkg/Q05JJh\nGGrMmDEye5IQQogsmzt3CdOnL+PKlSacPfsJMBI4SP36L/Ddd724//6bnxN2LQz/X/1ZengpAF4l\nvBjfejyvNnlV6hbyw8GDukdhyRJzCit3d72SXp8+8OSTusjZBpavXUufJUtY+PLLtG3XjsO3qD2I\nuUXvgbth0LhEiesShHtLlHDI3gORPWmzJwUGBsrwJGclw5OEEEJk15Ytir5913PixFZgAkWK+PPe\ne60YP75B7+gWAAAgAElEQVQdLi7X3w/EJsUyeftkPv3jU+It8RR1Lcq7Ld7Fv6U/JYuWtM8LKCyu\nXNEr6C1YAPv2mfubNNFFzT176pX1bGTuokVMW7yYyBo1uPDKKxRZsADL8ePwxBPQps1151Zxd79+\nWtMSJbhLeg8KPBmeJAoEGXNokliYJBYmiYWpsMbi0CEYPhx+/tlAz9+RQNmyz2KxVMPHx7guYbAq\nK/85/B+GbxpORHQEAM82fpZJT06idtna9nkBecwh3hdWK/z6q04UVq3Sw5EAypaFl17SvQrNmtn8\nx1qsVtzatuXi5ctc3rcPDh7EYrXi+swz3Pv44zRJG1qUmiBULES9Bw7xvhCSNAghhBB5LTQURo/W\n0/UrpSfV8fUN49VX21OtmjuRkUkEB4eln/9n2J8M2TCEXRG7AGhepTnT2k3j0ZqP2uslFHwhIbBo\nkX6cPq33GQa0basThaef1tXpNqaU4odLl/goJIR/4uIgJQWXpCTK/vQTCWXL8nXjxjx/q0U5hMhn\nMjwpl2R4khBCiNu5fBnGj4cvv9QzIrm5wYABMHIkVKx48/mnr51m+KbhfPfXdwBU9qzMhNYTeKXJ\nK7gYMuzE5uLjYeVK3auwebO5v3ZtvUrzq6/euhrdRrZcucLwkyfZFR0NQK1ixfD57TeeveceenTs\nyMp16wgODWX4W2/lWRuEc5EpV52YJA1CCCFuFBenp06dOBGupa4G1LMnfPwx1MkwI6pSCv+x/nw0\n/CMmb5/M5O2TSbAkUNS1KMMeHsbwlsPxdPe0z4soqJSCPXt0ovDdd+Y/ULFi0KOH7lVo1QrysDZg\nb3Q0/idP8ssVvbasl5sbo2rVom+VKrIegsiUPZMGeWcKmwkKCrJ3ExyGxMIksTBJLEwFNRYWC3z9\ntV692d9f34+2aQN798LSpdcnDADLVy9nyvIp1Hy7Jh9v/ZgESwLP3/08/w76l0+e+KTQJQx5+r64\ncAGmTIF774UHH4Q5c/Q/kK8vzJ0L587p8WOPP55nCcO/cXE89/ffPLB3L79cuUIpV1c+qV2b476+\nDKxW7bqEoaD+juSExMIxSE2DDQQEBMiUq0IIUYgpBatX60Thn3/0vmbNYNKkmya9AWDuwrl8OvdT\nznicIfn+ZK4cvUKxP4ox6LVBTO4xOX8bX5BZLLB+ve5VWLNGb4MeG/bKK3oI0t1353kzwhMSCAwN\nZeHZs6QAxVxceLtaNT6sUYPyNy7zLcQtpE25ak8yPCmXZHiSEEIUbn/8oVdt/uMPvV27NowbB88/\nf+sPrBMsCXz828dMXDQR6ykrPAnl/ijHnIFz6PFUj1su5iWy6d9/9ZoK33yjexBAr6HQsaMeftSx\no15jIY9dTk5m4unTzAgPJ1EpXIE+VaowumZNqudBUbUo+GTKVSGEEMLJHDkCI0bAjz/q7QoV9AxJ\n/frd/n50a+hW+q7py7HLx0CBm3Kjzp46nEk8g4uLiyQMuREdDd9/r3sV0jI4gLvu0onCyy9DlSr5\n0pQYi4Vp4eFMDgsjKnURtucqVuTj2rVp4OGRL20QwtakpkHYjL27zRyJxMIksTBJLEzOHIuICHjj\nDT00/scfwcMDRo2CEyfg7bdvnTBcTbhKvzX9aLWoFccuH6NhhYa8Wf9NvvvwO2a/O5uFwxYSHBKc\n/y/GwWT7faEUbNumk4IqVfSCa3/8AZ6e5vf//AMffJAvCUOS1cqX4eHU3bmTUadOEZWSQtuyZdlz\n//389+67s5UwOPPviK1JLByD9DQIIYQQWXD1qq5RmDYNEhL0aJcBA3TvQuXKt3/eyn9WMmjdIM7G\nnMXNxY0Rj47Av6U/RYsUBfQNUfcu3fPpVRQQERHw7bd6CFJwhmTr0Ud1AtGjh04c8kmKUnx3/jyj\nTp3iVEICAL4lSzKhTh0eL1s239ohRF6SmoZckpoGIYQo2BISYOZMXaeQOkMmPXro7QYNbv+8iKgI\nBv08iB+O/gBAi+otmN9lPndXyvvC2wIpKUkXMy9YoIubrVa9v2pVvZ5C796Z/4PkAaUUay9fZkRI\nCH/FxgLQyMOD8bVr83SFCjLcTNic1DQIIYQQDiYlRU+TOmqUuUBwq1a6t8HX9/bPsyor8/bO48NN\nHxKVGEVJ95JMfHIi/R/oLwu05cThwzpRWLIELl3S+9zcoFs33avQpg0Uyf/bma1Xr+J/8iTbo6IA\nqFG0KIG1avFy5cq4SrIgCiD56yVsRsYcmiQWJomFSWJhcuRYKAXr1ukpU199VScM994LP/0EW7Zk\nnjD8c/EfWi1qxYCfBhCVGEWXBl04MvAIb/m8dduEwZFjkZ+UUvTr2ROllB4LNns2+PjAfffpMWGX\nLul/iGnT4MwZXfTcoUO+JwwHoqPpeOgQrQ4cYHtUFBXc3JhWrx7HfH3pXaWKzRIGeV+YJBaOQXoa\nhBBCiFS7dunpU9PuUWrU0Ks4v/SSrmG4naSUJCZum8i438eRlJKEVwkvZnSYQY/GMoVqVm1YvpzL\nK1ey8bHHaLdnjx4XBlC6tP4H6NMHmjcHO8XzeFwco0+d4rsLFwDwdHXlfW9vhlavTkk79HQIkd+k\npiGXpKZBCCGcX3Cwnj51+XK9XbYsfPQRDBwId5pOf3vYdvqu6cuRi0cAeL3Z60xuM5myxaUANiuW\nTJnCskmTaBIZyScWCyOBg8ALDRvSa/Ro6NoVihe3W/vOJCbycWgoX509i0Up3A2DgdWq4V+jBhXz\nYa0HITKSmgYhhBDCDs6dg7FjYd48XcNQrBgMGaJ7G8qUyfy5UYlRjPh1BLN2z0KhqF+uPvO6zMOv\nll++tN3p7dkDM2fy0nffUT4xka2AAVhLlWLQxIm069/fbr0KAFeSk/k0LIwvwsOJt1pxAV6rXJmA\nWrWoIQuziUJIahqEzciYQ5PEwiSxMEksTPaORXS0niq1bl09dF4pPa1/cDBMmHDnhGH1v6tpPLMx\nM3fPxNXFFf+W/hzsfzBHCYO9Y5GvEhL0VKm+vrpeYdEijMREjKZNSShenGdr1CBeKYxKlew2rCsu\nJYVJp09TZ+dOJp4+TbzVSrcKFfjLx4cFDRvmW8JQqN4XdyCxcAzS0yCEEKLQSEqCuXN1ncLFi3rf\n00/D+PHQuPGdn38u5hzv/PwO3x/5HgCfqj7M7zKfJpWb5GGrC4BTp2DOHPj6a3MGpDJldJ3CgAGE\nff897Rs0wL1cOZIiIwkLzv+F7pKtVr4+e5axoaGcTUoC4PEyZZhYpw4PliqV7+0RwtFITUMuSU2D\nEEI4PqsV/vc/Xadw8qTe9/DDevrUli3v/HylFAv2L2DYL8O4mnAVDzcPxj0xjrcffBtXl0wqpAsz\nqxU2bdKLXKxda66r0KyZLhZ58UW9nLadWZXivxcuMCokhBOpxdf3e3oyoU4dnixbVgrZhUORmgYn\nFxAQgJ+fH35+fvZuihBCiBts2qRrFPbt09sNG8LEifDUU1kbMh98OZg3175J0KkgANrXa8/sTrOp\nVaZWnrXZqV29CosWwaxZ5mrNbm46SRg4EB56yK61CmmUUqyPjMT/5EkOpi7M1qB4ccbVrk33ihUl\nWRAOJSgoyO7DtKSm4QaGYTxmGMZqwzDCDcOwGobx6p2ek5Y0FHb2fjM7EomFSWJhkliY8iMW+/dD\nu3Z67a99+/TCwfPn67XCnn76zvetySnJTPh9AvfOvpegU0FU8KjA0m5LWddznU0ThgLzvjh4EN58\nE6pVg6FDdcJQvTp88gmEhenF2Vq0yDTw+RWL7deu4XfgAB0PH+ZgbCzVixblq7vu4m8fH3rYsZ4i\nowLzvrABiQX4+fkREBBg1zZIT8PNSgCHgG+AbwEZeySEEE4kJARGjoT//Edvly4Nw4fDO+9kfTTM\n7ojdvLHmDQ6dPwTAK01e4fO2n1PBo0IetdpJJSXBihV6CNIff5j7W7fWvQpduthltebbORwTw0ch\nIay5fBmAckWKMKJmTd6qWpXimS3EIYSQmobMGIYRDQxUSn2byTlS0yCEEA7g4kUYN06PiklOBnd3\nGDRIr79QvnzWrhGTFMOozaOYvms6VmWldpnazO08lzZ12+Rt451NeLiuKJ8/H86f1/tKldJLaL/1\nlh4D5kBC4uMZc+oUS86fRwElXFwY6u3NMG9vSjtQUiPEnUhNgxBCCJFDsbEwdSp8+qmeStUw4JVX\n9PoLNWtm/Trrj6+n/9r+hF4LxcVwYViLYQT4BVDCvUTeNd6ZKKWXyp45E374QS9sAXDPPbpXoVcv\n8PS0axNvdD4piU9CQ5l75gzJSuFmGPSvWpWPatbESxZmEyJbpKZB2IyMOTRJLEwSC5PEwmSLWCQn\n6w+769WDUaN0wtChAxw4AN98k/WE4WLsRXqt7EWHpR0IvRZKs8rN2PXGLia3nZwvCYPDvy+ionSi\ncM898MQTejiSYcCzz+ok4tAh6N/fJgmDrWJxzWJhVEgIdXfs4MuICCxK8YqXF/8++CDT69d3ioTB\n4d8X+Uhi4RgKbU+DYRgvAXMy7GqvlPrjducLIYRwDErBypV62NGxY3qfj4+ePvXxx7NzHcWSQ0sY\numEol+MvU6xIMcb6jWVoi6EUcSm0/z2ajhzRycK330JMjN5XpYoudn7zTV1Z7mDiU1KYGRHBhNOn\nibRYAHiqfHnG1a7NPQ7WCyKEs3HomgbDMHoArYCmQBPAE1iqlHo5k+dUB8YC7YFywFngByBQKXU1\nw3meQKUMTz2jlEq44VpS0yCEEA5k61b44APYuVNv16+vF2br3j17s3iGXAmh39p+/HLyFwBa127N\n3M5zqVuubh602okkJ8OPP+pkIeOnu489pocgPfOMnj7VwVisVhadO0fAqVNEpC7M9ljp0kyoU4eH\nS5e2c+uEsB2pabi9kcB9QDQQDjQkk9mMDMOoC2wHKqIThaOALzAYaG8YxiNKqUgApVQMEJOnrRdC\nCGEThw+Dvz/89JPe9vKCMWPgjTeydw9rsVr4YscXjA4aTVxyHGWLlWVKuym82uRVh5hm027OnYN5\n8/R4rzNn9L4SJeDll3Vh87332rd9t6GUYsXFi3wUEsKx+HgAmnp6MqF2bdqVK1e4/02FsDFHr2kY\nAtRXSpUGBmTh/FnohOFtpVQ3pdQIpVRrYCpwFzDuThcwDKOEYRhNDcNoio5PzdRt75y/jMJBxhya\nJBYmiYVJYmHKaixOn4bXXoMmTXTC4OkJgYFw/DgMGJC9hGH/2f089NVDDPtlGHHJcbx4z4scHXSU\n3k172/Xm0m7vC6Vg2za96Jq3t87CzpyBu+6CL76AiAiYPTtfE4asxkIpxS+Rkfjs3cuzR45wLD6e\nusWK8V2jRuy9/37aly/v9AmD/L0wSSwcg0P3NCilgjJsZvrbn9rL0AYIUUrNvOHwGKAf0MswjPeU\nUnGZXMoH2JzWBCAw9bEI6JPlxgshhMixyEiYMAFmzIDERD3Vf//+uuC5UqU7Pz+juOQ4AoMC+fzP\nz0lRKXiX8mZO5zl0rN8xbxrv6GJjYelSPQTpkF6HAhcX6NpVD0Fq3dohVmy+nV1RUfifPMnmq3rE\ncRV3d0bXrMnrVarg5uLon4UK4bwcuqYhI8Mw/NA380uUUq/c4vgbwDxgrlLqpl4JwzA2oJOKJ5VS\nm288not2SU2DEELYSHy8ThQmTIDUe0JeeEEvKlw3B+UGv578lX5r+3HiygkMDN5+8G0+eeITShYt\naduGO4Njx/QiFosWwbVrel/FitC3L/TrBzVq2LV5d3IkNpaRISGsunQJgDJFijC8Rg3erlYND1mY\nTRQSUtNgG3elfj12m+PB6KShPmZPghBCCAeQkqKnSR09Wo+KAf2B96RJcP/92b9eZHwkwzYOY+GB\nhQDcU+kevuryFb7VfW3YaieQkgJr1+pehV9+Mfe3aKF7FXr0gKJF7de+LDidkEDAqVN8c+4cVqC4\niwtDqlfnfW9vyjpgUbYQBVVBShrSpke4dpvjafvL2PoH9+7dm1q1aumLlylD06ZN8fPzA8xxeIVh\nO+OYQ0dojz230/Y5SnvsuX3gwAGGDBniMO2x5/a0adMK7d+HG7fTvlcKYmL8GD4cjhzR+5o29WPS\nJHBzCyI6GiDr11dKcb7ieQavH8yFvy7g5urGmFfH8P4j77P99+0EHQ9yiNefcfvGmNjk+hcvEjRi\nBKxejd+FC/q4uzs8+SR+H38MzZvr8//80+6v/3Z/L3745ReWXLjAmurVSVIKlwMHeKp8eeY89xxV\nihZ1iPbm5bb8vTC3b/xdsXd78nM77ftTp05hd0opp3ig/9ewAt/e5vi81ON9bnN8XOrxD23cLiW0\nLVu22LsJDkNiYZJYmCQWmtVqVS+++Kbats2qWrZUSqcOStWqpdTSpUqlpOTsuqFXQ1WnpZ0UASgC\nUI8tfEwdvXjUto3PAzZ7X1itSu3YodTLLyvl7m4Gtm5dpT77TKnLl23zc/KI1WpVL/bpo64lJamA\nkBDluXWrYssWxZYt6sW//1bBsbH2bmK+kr8XJomFKfW+0y734gWppmEy8B7wnlJq6i2Ofwm8BQxQ\nSs21YbuUs8RQCCEcwfTp63n33Q2kpLQH2lG+vC5w7t8/ZyNlUqwpzNo9ixGbRxCTFEPpoqWZ3GYy\nrzd/HRfDxebtdzjx8bBsmR6CtHev3mcY0LGjHoLUrp0udHZw/1mzhj6LF+Pm60tM6pi0juXKMa52\nbZqWLIQ1KELcgtQ02MbR1K933eZ4/dSvt6t5EEIIkYe+/HIJgYHLuHSpCTAFwxhJ+fIz+OijFxg8\nuFeOrvnXhb94Y/Ub7IzQq711b9SdGR1mUKVkFRu23EGdPKmnRF2wQE83BVCuHLz+us7A6tSxb/uy\naNrChUxYtIjLNWqQMmAAiV9/TfGVK3mrVy8+G5CV2daFEPnB8T96yLotqV/bGDdMzmwYRkngESAW\n2GHrHxwQEHDd2LPCSmJgkliYJBamwhyLDRtgypSXuHRpIHqk6G9UqWJl9uxBDB78Uravl2BJYNTm\nUTSb24ydETupWrIqq55fxfLnljtdwpCt94XVCuvWQadOUK8efPaZThgeeAAWLoTwcPj0U6dIGMIS\nEnjv+HFG1a3LhY4dSbFa4eBBKri68o2/P5P797d3E+2qMP+9uJHEQscgICDArm0oMD0NSqmThmFs\nBNoCA4EvMxwOBDyAOUqpeFv/bHv/IwohhKM6exaGDoX//hfAwNvb4PLlBCpWnElkZDUMw8j2Ilxb\nQ7fy5po3+ffyvwAMeGAAE1pPoHSx0nd4phOLjNQ9CrNn6x4GAHd3PR/twIHw4IP2bV82HIiO5vPw\ncJZduIAldXjv3SVKcNJiodL69USWLo1LDt4XQhRkfn5++Pn5ERgYaLc2OHRNg2EYXYGuqZuV0QnB\nSWBb6r6LSqn3M5xfB9gOVAJ+RA9Z8kUXUf8LPKyUumLjNkpNgxBC3CAlRd/ffvQRREVB8eIQEABJ\nSfNp1KgG3bq1ZeXKjQQHhzF8+BtZuubVhKt8+MuHzNs3D4CGFRoyv8t8WtZomYevxM727tW1Ct99\nBwkJel/Nmnr40euv63UWnIBSil+uXGFyWBibruj/hl2B5ypV4j1vbzZ++y0NatWiW8eOrFy3juDQ\nUIa/9ZZ9Gy2EA7JnTYOjJw1j0Ks539jItGCdUkrVueE51YGxQHugPHAGWAUEKqVuNx1rbtooSYMQ\nQmSwb59eK2zPHr3dubNesC11ZuocWfnPSgatG8TZmLO4ubgx4tER+Lf0p2gRx15jIEcSE+F//9PJ\nws6d5v62bXWvQqdO4CSLmSVbrSy7cIHPwsI4FBsLQAkXF/pWrcrgatWoVby4nVsohHOxZ9Lg0DUN\nSqlApZSLUsr1hodL6uOmQZtKqXClVB+lVFWlVFGlVG2l1Lt5kTCI68mYQ5PEwiSxMBX0WERFweDB\n4OOjE4bq1WHlSli9+uaEIauxOBN9hm7/7Ub3/3XnbMxZWlRvwf5++wnwCygQCYNSin49e+opvE+f\nhhEjwNsbXnlFJwylS8OQIfDvv7ow5KmnnCJhiLJY+Oz0aers3MkrR49yKDaWyu7ujK9dm7AWLZha\nr94tE4aC/juSHRILk8TCMRSYmgYhhBD2oRSsWKEThjNn9D3tu+/q4Ug5nSnTqqzM2zuPDzd9SFRi\nFCXdSzLxyYn0f6B/gZpGdcPy5VxeuZKNvr6027tXFzoDNGmiexV69oQSJezbyGwIT0jgi4gI5p05\nQ1RKCgCNPTwY5u1NTy8vijrB1K9CiFtz6OFJzsAwDDVmzJj0AhUhhChMTp6EQYPg55/19oMPwty5\n0LRpzq959NJR+q7py7bTunytS4MuzOo0i+qlqtugxY5hyfTpLJswgSaXL/NJcjIjgYPACz4+9Jo6\nFR5+WK+14CQOxcTwWVgY32UobvYrU4Zh3t50KFcOFyd6LUI4oqCgIIKCgggMDJSaBmclNQ1CiMIo\nKQk+/xzGjtX1uaVLw8SJ0LdvzkfPJKUkMWnbJD75/ROSUpLwKuHFjA4z6NG4R8GZSSckBL78EvXV\nV6yPimIrMAHwL12aVp99RrvXX3ea16qU4tfU4uaNqcXNLsCzFSsyzNubB0qVsm8DhSiApKZBFAgy\n5tAksTBJLEwFJRa//w7Nmunh9wkJegTN0aN6Qp+sJgw3xuLPsD9pPrc5o4NGk5SSxOvNXuefgf/w\n7N3POs1N9G0pBUFB8Mwzem2FKVMwoqIwGjQgoVgxnq1Rg3irFaNsWad4rclWK0vPn6f53r20OXSI\njVeu4OHiwtvVqnHc15dld9+d44ShoPyO2ILEwiSxcAxS0yCEECJLLl2CDz7Qa4iBvv+dNQvatMn5\nNaMToxnx6whm7p6JQlG/XH3mdZmHXy0/m7TZruLj9VSpX3wBhw7pfW5uOst65x3CNm2ifYMGuJcr\nR1JkJGHBwfZt7x1EWSx8dfYs08LDCUtMBMDLzY13qlenf9WqlHNzs3MLhRB5SYYn5ZIMTxJCFHRK\nwaJF8P77cPmyXlPM3x+GD4dixXJyPYX/WH8eeeER3lr3FuFR4RRxKcL7D7/PqMdGUdzNyafhjIjQ\n2dS8eTrTAqhUSXfF9O8PVZxrxeqIxESmh4cz98wZrqUWNzf08OC96tXp5eVFMSeYzUmIgkLWaXBi\nkjQIIQqyv/+GAQP0kCSAJ57Q98N33ZXza371368YMH0AljoWqAc+VX2Y32U+TSo3sU2j7WXHDt2r\nsHw5WCx6X/Pmelqp55+Hos41RexfqcXN/7lwgeTU/+ceK12aYd7edCpfXoqbhbADqWkQBYKMOTRJ\nLEwSC5MzxSIuTtcsNG2qE4ZKlWDJEti0KecJw9wFc6l2fzX6zeqHpb4FI9TA60cvXnN5zXkThqQk\nWLoUfH2hRQtYtkxPm9qjhw7cnj16zYVMEgZHel8opdh85QodDh3i3j17+Ob8eVKU4tmKFdnRvDm/\nNWtGlwoV8ixhcKRY2JvEwiSxcAxS02ADAQEBMuWqEKLAWLdOLxFw6pTe7tcPJkyAsmVzfs2TV07y\nfZHvOdPoDITqfZU9KzN92HS6d+me6zbnuwsX9Nyys2fD2bN6X9myevqogQOhRg37ti+bLFYr31+8\nyGdhYeyLiQGguIsLr1epwpDq1akrKzcLYVdpU67akwxPyiUZniSEKCgiIvTiw8uX6+377oM5c/QH\n6DllsVr4YscXjNoyinhLPJ6hnliCLdQpW4ewa2EsHLbQuZKG/fth+nT4z390LwNA48Z6CFKvXuDh\nYd/2ZVO0xcLXZ88yNTyc06nFzRXd3Hi7WjXeqlaN8lLcLIRDsefwJOlpEEKIQs5igZkzYeRIiInR\nCxAHBur74CK5+F/i0PlDvL76dfac2QNAz3t7UtujNs2eaUa3zt1YuXYlwSGOPWMQoAP044+6XiGt\nuMMwoHNnHaTWrZ1qITaAs4mJTI+IYM6ZM1xNrb9oULw473l787KXF8WluFkIcYM79jQYhvE6kJuP\n0n9WSp3NxfMdmvQ0mIKCgmSIViqJhUliYXLEWOzerSf02bdPbz/9tP4gPTejaxIsCXz828d8uv1T\nLFYL3qW8md1pNp0adEo/xxFjcZMrV+Crr+DLL+H0ab2vZEno00cvg12vnk1+TH7G4khsLJ+FhbHk\n/Pn04uaWqcXNXRyguNkp3hf5RGJhkliYHL2nYX4urq+ANkCBTRqEEMIZXbumexZmztRTqnp7w4wZ\nOmnIjd9Df6fvmr78e/lfDAwG+QxifOvxlCxa0jYNzw9HjujMafFiXREOOkF4+23o3RucbKVjpRS/\nXb3K5LAw1kVGAmAA3StUYJi3Nw+VLm3fBgohnEJWehqswHhgUzavXRpYBTyplNqcs+Y5PulpEEI4\nE6Xgf//TtQvnzukVnIcOhTFjwNMz59eNSoziw18+ZM7eOQA0qtCIr576ioe9H7ZRy/OY1Qo//6yH\nIP3yi7n/ySf1EKSOHcHFuSYctFitrLh0ic/CwtgTHQ1AMRcXXqtcmXerV6eek9VfCCEcv6cB4IhS\nKig7FzYMo0L2myOEECKvnDihJ/bZsEFvt2ihC53vuy93113z7xoG/DSAiOgI3Fzc8G/pz4hHR1C0\niBOsSxAdrVeumzED0lZkLl5cT5P6zju6yNnJxFgsLDh3jqnh4ZxKSACggpsbg6pV462qVano7m7n\nFgohnFFWPjZpC/yag2tfTX3u/hw8Vzghe08F5kgkFiaJhclesUhMhE8+gXvu0QlDmTJ6ttBt23KX\nMJyPOc/zy5/nqWVPEREdgW81X/b120fg44F3TBjs/r44cUJ3t1SrppOD4GA9RmvSJAgP19lUPiUM\ntorFucREPjp5kho7djD4+HFOJSRQr3hxZtevz+mHHmJMrVoOnzDY/X3hQCQWJomFY7hjT4NSKrvD\nktKeZyH7Q5qEEELYUFCQXtH56FG9/fLL8NlnerG2nFJK8e3Bbxm6YShXEq7g4ebB+CfGM+jBQbi6\nOM2RuTQAACAASURBVPCsO0rB5s16CNLatXob4NFHdeLQtWvupouyk39iY/k8LIzF58+TlPqaWpQq\nxfve3jxVoQKuTjazkxDCMck6DbkkNQ1CCEd08SIMGwbffqu3GzTQ65A98UTurhtyJYR+a/vxy0k9\n7r9t3bbM7TyXWmVq5e7CeSkuTq/aPH06/PWX3ufuDi++qJOF5s3t274cUErx+7VrTA4LY+3ly4Au\nbn66QgXe9/bmYSluFqJAcoaahusYhlEU6A20BioC7yml9hmGURboAmxWSoXbrJVCCCGyxGqFBQvg\ngw/0jKFFi8JHH+ntorkoMUixpjB953RGbhlJXHIc5YqXY1q7afS6rxeGo36SHRamp4eaPx9SZw2i\ncmXd9dKvH3h52bd9OWCxWll16RKTw8LYnaG4+VUvL9719qaBFDcLIfJItqeCSE0MdgKzgY5AK6BM\n6uEoYBwwyFYNFM5DxhyaJBYmiYUpr2Nx+LAeadO3r04Y2rTRH6yPGpW7hOHQ+UO0+LoF7258l7jk\nOF6850X+GfgPLzd5OccJQ57FQin44w947jmoXVvXKERGgo8PLFkCoaEwerRDJQxZiUVsSgpfhofT\nYNcunjtyhN3R0ZQvUoTRNWsS+tBDzLnrrgKRMMjfC5PEwiSxcAw56WkYDzRA9yjsBC6kHVBKpRiG\nsRJoBwy3SQuFEEJkKjYWxo6FKVP04sVeXjBtGjz/fO4WKk6wJDBu6zgm/jERi9VC9VLVmd1pNp0b\ndLZd420lMRH++189BGnvXr3P1VUHYfBgeOghp1u1GeB8UhJfRkQwKyKCyNSVm+sWK8a73t70rlwZ\nD1m5WQiRT7Jd02AYxhlgqVLq/dRpVS+QYS0GwzDeAQKVUmVt3loHJDUNQgh7WrtWL04cGqrviQcM\ngHHj9AxJubHt9Db6runL0Uu6gnqgz0DGtx5PqaIOtrDZuXN6pqM5c+D8eb2vfHk9/GjAAKhe3b7t\ny6GjsbFMCQ/n23PnSEz9P8a3ZEner1GDrlLcLESh5Ww1DeWBfzM5roBiOWuOcwoICMDPz0+WOBdC\n5JvwcF3Du2qV3m7aVN83+/rm7rpRiVH4b/Jn1p5ZADSs0JCvunzFIzUeyWWLbWzvXj0L0rJlkJys\n9917r+5V6NlTr7XgBJRS+I8fz4QRIwD4I7W4eXVqcTPAU+XL8763N4+ULu249SNCiDwVFBRk92Fa\nOVneMhxolMnxFsDxnDXH/gzD8DcMY7dhGNcMw7hgGMZqwzDuzuw5aUlDYWfvN7MjkViYJBYmW8TC\nYoGpU6FRI50weHrq7d27c58wrD22lrtn3c2sPbMo4lKEUY+NYn+//XmSMOQoFhaLXs76kUfggQdg\n8WK9r2tXPZXqwYPw+utOkzAArPjpJ6b/+isfLFtGi337ePTAAVZfvkxRw6BvlSocffBBfrz3XlqW\nKVMoEgb5e2GSWJgkFuDn50dAQIBd25CTnob/AoMMw1gKhGY8YBhGL+B5YJQN2mYvrYAvgd3opGos\nsMkwjMZKqSt2bZkQolDbuVOPujl4UG9366Y/bM/tCJwLsRcYvH4wy/5a9n/27jzO5uoN4PjnzMIY\n29iXse9LWaKNylSEoo1WsoTspWhRZKaslS1MRvxUqLRoI1GYlCISEbIOxtjHNsx+n98fZ3Qlg1nu\nMjPP+/W6r5nv/X7v93vuY+51n3vOcw4ANwTfwMz2M7m2zLVZbHE2OX7czoA0bZrtYgEoWtQmCAMG\n2ILnHCbivfeYOGcOsZUqEd++PW8tWgRvv01gy5Y89+STDAgOpoyXL8SmlMpbMlPTUBC7QnRj7Afr\nZsAvQHGgTtrvd4pIYvY21TPSnu8p4D4RWXSJ/VrToJRyqZMn4eWX7fAjEahcGaZOhXZZrEcWEeb8\nOYdnlzxLbHwsgf6BjLpjFANvGOgdi7Rt3mwLm+fOhfh4e1+tWnZcVteutpslB9px7hxToqN598sv\nSdi4EXr1wvfdd+l6111M7tSJQjlwgTmllHvkqJoGETlrjGkBPAM8BiQA12GHJL0CTMgtCUOaItge\nB+1lUEq5lQh89BE895yt8fXzg8GD7RSqBQtm7dxRJ6PovbA3S3ctBaBVtVZEtIugajEPf2ufmgqL\nFtkulOXLnfe3aWOThdatwSczI2s9yyHCkthYphw4wOLza0YAvklJlJ05k9MpKdxdsqQmDEopr5Wh\nd15jjK8xphJQSETeEJHGIhKYdmsgImNyWcIAMBn4A/jV0w3xdjrm0Elj4aSxcMpILHbsgLvugk6d\nbMLQvDn88QeMHZu1hCHVkcqk1ZOoH16fpbuWUrxAcd6//32WdF7i1oThP7E4dcrOE1urFtx3n00Y\nChaEfv1g61ZYvBjats1xCcOplBQmR0dT57ffuHvTJhbHxhLg48OTZcsy0N+f+d26MadHD2Z36cKO\nvXuvfMJcTt8vnDQWThoL75DRrzT8gD3AC8D47G+O+xhjOgHTL7irjYisuuiYCdjhV7foGCSllDsk\nJtrEYMwY+3vx4vDGG9C9e9Y/L286vIme3/TktwO/AfBI/UeY3GYyZQq5d6EzEeGjGTNo0aIFZscO\nmDIF3nsP4uLsAVWq2FqFHj2yPnesh2w7e5apBw7w/uHDxKWmAlAxf376lS9Pz3LlKJkvH9SpA9gP\nRB3uuceTzVVKqSvKTE1DNPCmiEx2TZP+da2O2MLkRkBDoBB2jYgnLvOYCtji5TbYOouDwJfYtSNO\nXnBcIaD0BQ+NEZGEC/ZPBB4GbheR7Ze5nuYTSqlssXy5XVpge9o7Tteu8OabUKpU1s6bmJLIqJ9G\nMebnMaQ4UgguHMw797xD+9rts97oTPju009Z0q0bbWrXpvUffzh3hITYKVPbt7cLs+UwDhG+PX6c\nKQcOsPSEc0RrSFAQA4ODubdECfxyWE+JUsq7eLKmITNJwxjgDuy378kuaZXzWhuABsAZ4AC20Hqu\niHRJ5/jq2ELsUthEYRtwI3A7dm2J5iISe6nHXnSeycBD2IThcmtSaNKglMqyw4dhyBBb7wv2C+h3\n3rGfobNq1b5V9Pym5z+LtPVt2pexLcd6ZJG2uRERfDxmDA0PHWJkYiLDgI3Ao82a0Tk8HBo2dHub\nssPJ5GRmHzrE1AMH2J1gv3sq4OND5zJlGBAcTIMcWrCtlPI+nkwaMvOVx0ogEFhnjHnaGHOPMeaO\ni2/Z1L5BQE0RKQr0vYrjw7EJw0AReVBEXhaRO4GJQG1g1JVOYIyZBnQDOgGnjDFl025ZLDvM/XTM\noZPGwklj4XRxLBwOiIiwScLcuRAQACNH2ilVs5ownEk8w4BvB3Dr7FvZdmwbtUvU5qfuPxF+T7hn\nVnXevZtOS5fSf+9eHImJ/Ag4ihZlwKxZdPr55xyZMGw5e5a+27dT4ddfeW7XLnYnJFA5f37eqFaN\n6JtvZkbt2leVMOhrxElj4aSxcNJYeIfMTNNw4bSjk9I5RoAs9y2LSOQFm5fNqtJ6GVoBe0Rk2kW7\nRwC9gc7GmMEicu4yp+qLbf+yi+4PxQ57UkqpLNu4Efr0gdWr7Xbr1nYZgurVs37uRdsX0WdRH6JP\nR+Pn48eLzV9k2G3DCPALyPrJM+r0aRg1CiZNwiQlYfLlI8EYppUuTfDJk5gctspxqggLjx9nSnQ0\ny07+M+KVO4KCeLpCBdqVKIFvDno+Sil1tTKTNDyZ7a3IHren/Vx68Q4RiTPGrMImFTcByy8+5oJj\ndcBpJumq2E4aCyeNhSUifPfdbzRp0oKwMMOkSXZ20XLl7KRBDz0EWf2sefTsUZ757hk+2vwRAE3L\nN2XWvbNoUKZBNjyDDEpNhVmzYNgwOHrU3telC/vLl6dN06bc9eCDLF2wgP07dri/bZlwIjmZWQcP\nMi0mhqi0IUiBPj50KVuWAcHB1M/ClFb6GnHSWDhpLJw0Ft4hM+s0vOeCdmSH2mk/0yta3oFNGmpy\nmaRBKaVc4fPPl/D22weZOXMpx4+3xhgYOBBef90ubpwVIsLcP+fy7JJnOR5/nAJ+BRh5x0ievvFp\n/Hw8MO//smV2cYk//7TbzZvDxIlw/fX0uuCw1h06uL9tGbQ5Lo4pBw4w5/Bh4h0OAKoFBNA/OJju\nZctSzN/fwy1USin3yE2ryJz/b/dUOvvP35/t8/d169aNKlWq2JMHBdGoUaN/suLz4/DywvaFYw69\noT2e3D5/n7e0x5PbGzZsYNCgQV7THndvf/3193z77UYOHGhIfHwl4uPnEBAwhWeffZS77qrAH39k\n7fyH4g7x3sn3WLJrCeyB68pfx6dPf0q1YtXc/3znzoV33iHkl1/sdpky0Ls3IaGhYEyOeb+45bbb\n+Pr4cV776is2xsVBo0YANNm5kwdLleLFFi3wvej5ZOV6F8fE089f3y+8Y3vSpEl59vPExdve/H7h\n6u3zv0dFReFpmZk9qSt2zH96BLtK9H5gvYgkZb55/7puCLaH4JKzJxljZgA9gZ4i8r9L7B8FDAWG\nisi47GhT2nl19qQ0kZGR//yx53UaC6e8HotffxXuvfc7jh1bCbQmKGgJEREteOih1lkay5/qSGXq\nb1N5ZfkrnE0+S7GAYkxoPYGuDbu6v0bgxAnbZTJ1KiQnQ6FC8PLL8Oyztrr7Erzx7+J4cjIzDx4k\n/MAB9iXadUoL+vjQNW0IUt2sLsOdDm+MhadoLJw0Fk4aCydPzp6UmZ6G2Rk49oQxZqSITMzEdTLq\nfE9Ceh395+8/mc5+lUX6gnbSWDjl1Vg4HPDWW/DKK4aUFIOPTwLVqn3N4cMOfH1Nlj7Y/3XkL3p8\n3YM1B9YA8FC9h3i77duULVQ2u5p/dVJSYMYMePVVOH7cFmX06GGngCp7+bZ409/Fxrg4pkRHM+/I\nERLShiDVKFCAAcHBdCtblqJ+ru2U96ZYeJrGwklj4aSx8A6ZeSdsCLyP/ZA+BdiZdn8toD9QGBgA\nlMdOmTreGHNSRDKSbGTGtrSftdPZXzPtZ7oLtSmlVHY4cgS6dIElS+x28+b7GTiwDQ8/fBcLFixl\nx479mTpvYkoio38azZifx5DsSKZ84fKE3x3OfXXuy8bWX6UlS2zdwpYtdrtFC1u30Lix+9uSCSkO\nB18eO8aUAwdYeco5qrVN8eIMDA6mTfHi+OgsSEop9Q+fTDxmIPbb+jtFZIGI/Jl2+wxoiV2IrYuI\nLMAuArcem0S42oq0n63MRV/hGWMKA82Bs8Dq7L5waGjov8ae5VUaAyeNhVNei8Xy5XYI/JIlULw4\nfPMN/PxzLx55pDU//vgjHTq05qWXemb4vL/s/4XGEY15beVrJDuS6d2kN1v6bXF/wrB1K9x9N7Rp\nYxOGatVgwQJYsSJDCYOn/i6OJSUxZu9eqq5Zw0NbtrDy1CkK+/oyMDiYbTfcwOIGDbi7RAm3Jgx5\n7TVyORoLJ42Fk8bCxiA0NNSjbchMT8MDQJiIOC7eISKpxpgFwHCgn4ikGGM+xa6T4FIistsYsxS4\nC9vjMfWC3WHYBemmi0h8dl/b0/+ISinPS0mB116zI3NE4NZb4cMPoUKFrJ33TOIZXl72MtPWTkMQ\napWoxbvt3+W2yrdlT8Ov1vHjEBYG4eF2OtUiRWD4cDsFVP787m1LJqw/c4YpBw7w0eHDJKbVodUq\nUICBwcF0KVuWIi4egqSUUlkREhJCSEgIYWFhHmtDZgqh44DJIvJKOvtHA8+ISMG07b7AGyJSOMON\nM+Z+4P60zbLYhGA38HPafUdF5PkLjq8G/AKUBr7CDlm6EQgB/gaaiciJjLbjCm3UQmil8rjoaOjU\nCVautMP6hw2zw/yz+jn02x3f0mdhH/af3o+v8eWF5i/waotX3btIW3KyTRTCwmzBs48P9OplM6TS\npd3XjkxIdjhYcOwYU6KjWXX6NGBXCb27eHEGVqhAq2LFdAiSUipHyWmF0D8BTxtjVojIDxfuMMa0\nAp4GVl5w9zXYmZQyoyHQBedsTQJUBaqlbUcB/yQNab0NTbErN7cB7gZisCtXh4lIetOxKqVUpixc\nCN262S/iy5aFefPgjjuyds6jZ48yaMkgPtz0IQBNyjVh1r2zaFi2YdYbfLVEYNEiGDIE/v7b3tey\nJUyYANde6752ZMKRpCRmxMTwTkwMMUl2Ar8ivr48Wa4c/cuXp0ZgoIdbqJRSOU9mahqewdYGLDXG\n/GWM+TLttgVYAsRhC6AxxhQAbgDmZ6ZxIhImIj4i4nvRzSftVu0Sj4kWkSdFpLyI5BeRqiLynCYM\nrqdjDp00Fk65NRZJSTB4MLRvbxOG1q1h48bLJwxXisX5RdrqTqvLh5s+pIBfAd5s9Sare652b8Kw\nebN9Qu3b24ShVi1bnLF0abYlDK74u1h3+jRdt26l4q+/MjwqipikJOoGBjKtZk0O3HwzE2vU8MqE\nIbe+RjJDY+GksXDSWHiHzKwIvd0Y0wB4EbgH+42+YL/1nwiME5EjacfGA9dnW2uVUsoL7N4Njz4K\na9eCry+MHm2/kPfJzNcwafae3EvfRX1ZvHMxAHdUvYMZ7WZQvXj1bGr1VTh61I6rmjHDzhkbFAQj\nRkC/fpAvn/vakQFJDgefHT3KlAMHWH3BEKT2JUrwdHAwdxYr5v51K5RSKhfKcE2D+jdjjIwYMeKf\nAhWlVO72ySd2SP/p01C5Mnz0Edx8c+bPl+pIZdraaby87GXOJp8lKCCI8XeNp3uj7u77sJuYCFOm\n2AXaTp+2mVCfPhAaCiVLuqcNGXQoMZGIgweZHhPDobQhSEF+fvQoW5Z+wcFUK1DAwy1USqnsExkZ\nSWRkJGFhYR6rachU0mCMyQ90w06pWhoYLCLrjTHFgPbAchGJzs6GeisthFYqb4iPh0GD7JfwAA88\nALNmQbFimT/nX0f+ouc3PVkdbWeC7livI1PaTnHfIm0i8NVXtptk1y57X5s2MH481KvnnjZk0JrT\np5kSHc0nR4+SnPbeWz8wkIEVKtC5TBkK+vp6uIVKKeU6niyEznBnelpisAZ4Bzs8qQUQlLb7NDAK\n96zLoLyMjjl00lg45YZYbNkCN9xgE4Z8+WDqVPj884wnDOdjkZiSSGhkKI0jGrM6ejXlCpXji0e+\n4NOHPnVfwrBhgy3AeOABmzDUrQvffguLF7slYcjI30Wiw8HcQ4e44fffuWn9euYdOUKqCPeXLMmy\nhg3ZdP319C5fPscmDLnhNZJdNBZOGgsnjYV3yMzsSaOxqz+3xyYPR87vuGCdhtbAS9nSQqWU8hAR\nmD3bLkVw7pytB54/3y7elvFzCTPem0G+avnotbAXW47alZSfuu4pxrUaR1BA0BXOkE0OHbLrK8ya\nZZ9g8eJ2OtXevcHf3z1tuEoxiYlMj4khIiaGI8nJABTz86NXuXL0LV+eKjoESSml3CYz6zTEAPNE\n5HljTEls0tBSRJan7X8aO71pFjrtcw4dnqRU7nTmjB3W/6Gd9ZQnnrDLFRQqlLnzzVkwhx4TepBc\nNRlqQM3iNXm3/bu0qNIi+xp9OQkJMGkSjBoFcXF2EYkBA2zhc1bGWGUzEeHX06eZcuAAnx09Skra\n+2uDggUZGBzM42XKEJhDexSUUiqrcto6DSWwC6WlRwA3rjyklFLZa/16eOQR2LkTAgNtstC1a+bO\nFTE7gtHho4kpGENKyxRYDiU2leDp/k+7J2EQgc8+gxdegKgoe1/79vDmm1C7tuuvf5USUlOZf/Qo\nU6Kj+T0uDrDjZzuULMnAChW4rWhRnQVJKaU8KDMTBEYDdS+z/2ZgZ+aao3IyHXPopLFwykmxELGT\nCN18s00YGjSA33/PfMJwIv4Evxb7lX2195GSmgJRULZgWaa/Np3+Pftna9sv6fff4bbb4OGHbcJw\nzTV2rYWvv/ZowiAiPN6jByJCdEICw3bvpuLq1XTbto3f4+Io4efHS5Uqseemm/jsmmtoERSUqxOG\nnPQacTWNhZPGwklj4R0y09MwHxhgjJkH7L1whzGmM/AIMDwb2pZjhIaG6pSrSuVwsbHQowd8+aXd\n7tvXTiKU2WHzX2z9gn7f9uNQ3CH8fPzwFV/KbC/DCf8TGGNc+yE4JgZefhnef99ulywJI0faJ+iX\nmbf97PXZokUs2L2b5hER/FanDqlp9zcqVIing4N5tHRpCugQJKWU+sf5KVc9KTM1DQWBZUBjYC3Q\nDPgFKA7USfv9ThFJzN6meietaVAq5/vlF3jsMdi3D4oWhZkzoWPHzJ3rcNxhBi4eyKdbPgWgecXm\n3HDoBppf25wH2z3IgoUL2LFnBy897YK5Is6ds5nO2LH2d39/O0/sK6/YJ+ZhEe+9x/gPPiC6QgXi\nu3e3xdi7dtHk3nuZ1LcvzXUIklJKXVaOqmkQkbPGmBbAM8BjQAJwHXZI0ivAhLySMCilcjaHA8aN\ns5MJpabaaVU//hiqVs34uUSEeZvm8cx3zxAbH0tB/4KMbTmWftf3w8c4R4J2aN8hG5/BPxe3DX/x\nRdi/3973wAPwxhtQo0b2Xy+TCrdpQ/SRI8Rv3AjGUMTHhzdeeIGn7r9fkwWllPJymalpQEQSReQN\nEWksIoFptwYiMkYThrzL091m3kRj4eStsTh82K5j9vLLNmEYMgR++ilzCcP+U/tp91E7nvjiCWLj\nY2lVrRWb+21mwA0D/pUwuCQWa9ZAs2bw+OM2YWjUCFasgAULvCZhOJWSQuctW+i0bRvxgG9yMhXG\njEESEymZL1+eTxi89TXiCRoLJ42Fk8bCO3h+cKtSSrnZDz9A5842cShZEj74ANq2zfh5HOLg3d/f\n5fnvn+dM0hmCAoKYcNcEujXq5voPwvv3w9ChMG+e3S5Txk6n2q0beFE9wE8nT/LE1q3sTUwk0MeH\n1g4Hj3ftSonAQGLPnWPH3r1XPolSSimPu2JNgzGmK3Ya1QwRkQ8y26icRGsalMo5UlIgNBRGj7Yj\nekJCYO5cCA7O+Ll2xu6k1ze9iIyKBOD+OvcTfnc45QqXy84m/9fZs3bY0ZtvQnw85M8Pzz1nE4jC\nhV177QxIdjgIjYpi7L59OICmhQszr25dagUGerppSimVY3mypuFqkgZHZk4sIpka+pTTaNKgVM6w\nf78tdl61Cnx87Jpmw4Zl/Ev5VEcqk1ZPYviK4cSnxFMqsBRT757KQ/Uecm3vgsNhexVeesnOjgR2\nKtVx46BKFdddNxN2nDtHp61bWXvmDAYYWqkSoVWq4O+TJ/5bUEopl/Fk0nA17+DVLro1AjYCq7DT\nqzZOuz2KnTlpA9DQFY1V3k3HHDppLJy8IRZff22H+q9aBeXLw7JlMGJExhOGv478RbP/NWPI90OI\nT4mnc4PObOm/hYfrP3xVCUOmY7FqFdx4I3TpYhOGpk1tAcb8+V6VMIgI78bE0GjdOtaeOUOl/Pn5\nsVEjRlWr9p+EwRv+LryFxsJJY+GksXDSWHiHK9Y0iEjUhdvGmBnAaeAOEUm9YNdGY8wCYDkwAOid\nje1USqkMS0y0EwpNnmy3774b3nsPSpXK2HmSUpMY+/NYRq4cSbIjmeDCwUS0i+CeWvdke5v/JSrK\nPoFPPrHb5cvDmDG2IMPLvrU/lpREr+3b+fLYMQAeL12aaTVrEuTv7+GWKaWUyg6ZWafhKPCaiExJ\nZ/9AYISIlMyG9nk9HZ6klHfauRMeeQTWr7frmY0dC88+m/HP2uti1vHkV0+y6cgmAHo36c24luMo\nGuDCdQ/OnLENHj/eZj4BAfDCC/ZWsKDrrptJS2Nj6bptG4eSkiji68s7tWrxeJkynm6WUkrlOjlq\nnQYgECh/mf3lgYDMNUcppbLuo4+gd2/72btKFbuEwY03Zuwc8cnxhEaG8tavb+EQB9WKVWNm+5nc\nXvV2l7QZsHO/vv++XYzt0CF73+OP296FSpVcd91MSkhN5aXdu5l84AAAtxYtypy6dakcoP8FKKVU\nbpOZ/u0VwEBjTOuLdxhj2gBPAz9mtWEq59Exh04aCyd3xuLcOejZ037OPnPGrur8xx8ZTxh+2vsT\nDac35I1f3gDguZueY1PfTVlOGC4bix9/hOuvhx49bMJw443w66+2+NkLE4ZNcXFcv349kw8cwM8Y\nRlWtyopGja46YdDXiJPGwklj4aSxcNJYeIfM9DQMAlYCi40x24DtaffXTrsdwq4WrZRSbvPXX3Yy\noS1b7CykkybZ3oaMTGh0JvEMQ5cNZdraaQDUK1WP/937P26skMGsIyN27bLDjhYssNsVK9qhSY89\nlrHGu4lDhLejo3lp924SRahZoAAf1q1L0yJFPN00pZRSLpThmgYAY0xJ4EWgPVAFu45DFLAQeENE\njmZfE72b1jQo5VkiMHMmPPOMXbagTh07qVCDBhk7z5KdS3hq4VPsO7UPPx8/ht4ylFdufYX8fvld\n0/BTp+xibJMnQ1ISBAba6VQHD7a/e6GYxES6bdvG9ydOAPBUuXJMqFGDgl60mJxSSuVmOa2mARE5\nBjyfdsvzQkNDCQkJISQkxNNNUSpPOX3a9iZ8/LHd7tYNpk7NWK1wbHwszy15jvc3vg9Ak3JNmHXv\nLBqWzd6Zo0WEN4cO5fmRIzGzZsHw4XA07fuVrl1tApGZVebc5MujR+n5998cT0mhhJ8fs+rU4b6S\neWK+C6WU8rjIyEiPD9Pyrjn7vIAxpr8xZqMx5lTa7RdjzN2Xe8z5pCGv8/QfszfRWDi5Khbr1sF1\n19mEoWBBmDMHZs/OWMKwYOsC6ofX5/2N75PfNz/jWo5jdc/V2Z4wACz5/HN+mzSJpdWrQ58+NmG4\n5RZYu9bOA+ulCUNcSgq9/v6bB/76i+MpKbQuVoxN11+f5YRBXyNOGgsnjYWTxsJJYwEhISGEhoZ6\ntA1X7GkwxviISKZWhc7KYz1oP/ACsAObVHUDvjTGNBGRTZ5smFLKDkeaPNmWASQn20Xb5s+HWrWu\n/hyH4w4zYPEAPtvyGQC3VLqFWffOolaJDJzkKs2NiODjyZNpGB1N/8REfti3jyn+/jzarRudDkgy\n4AAAIABJREFUIyK8sm7hvLWnT/P41q3sjI8nvzG8Ub06A4KD8fHiNiullHKNK9Y0GGMcQGcR+TBD\nJ7Z1D0eAliKyPPNN9DxjzHHgJRF59xL7tKZBKTc5fhy6d4dvvrHbAwbAm2/aZQyuhogw98+5DFoy\niNj4WAr6F2Rcy3H0vb4vPsY1Ha+SkMB3t97KynXrGAMMLVqUFuHhtH7ssataRdoTUkUYu28foVFR\npIhwbcGCfFi3LtcUKuTppimlVJ6W42oarlKO/yRtjPEFHgIKAr94uDlK5Wk//WSnUo2OhqAgmDUL\nHnzw6h+//9R+ei/szeKdiwG4q/pdzGg3g8pBlV3UYiA+HtOhA2bdOhKA56pWxXHsGCZ/fq9NGKLi\n43li2zZ+PnUKgGcrVGB01aoEaLGzUkrlaVf71dpcY4wjIzcgx86gZIy51hgTByQA7wAPiMhfHm6W\n19Mxh04aC6esxiI1FUaOhJAQmzDcdJNde+FqEwaHOJi+bjr1w+uzeOdiggKCmH3fbL7r9J1rE4az\nZ6FdO1i8mP2BgbR56y3az5pF29mz2b9jh+uumwXzDh+m4bp1/HzqFOXy5WNpgwZMqFHDJQmDvkac\nNBZOGgsnjYWTxsI7XE1Pw2tZOL8Ae7LweJcxxnQCpl9wVxsRWZX2+zagAVAU29PwgTEmRBMHpdzr\n4EF44glYtsxuv/givP46+Ptf3eN3xu6k59c9+XGvXW/ygToPMO3uaZQrXM5FLU5z+jTccw/8/DOU\nKUOvZcugfn0iIyNp3aGDa6+dCSeTk+m3YwcfHTkCwAMlSzKjVi1K5svn4ZYppZTyFplap8FdjDEd\ngRZAI6AhUAiYJyJPXOYxFbCJThugOHAQ+BIIE5GTFxxXCCh9wUNjRCQhnXN+D+wVkZ6X2Kc1DUq5\nwNKlNmE4cgRKlbKzI7X+zzr0l5bqSGXi6okMXzGchJQEShcszdS2U+lYr6PrhwWdOAFt2sBvv9kZ\nkZYvz1iVtputPHmSJ7ZuZV9iIoE+PrxdsyZPli3rtcOnlFIqL8utNQ3ZYRj2G/8zQDRQh8vUShhj\nqmNrD0phE4VtwI3YFarbGGOai0gsgIjEAXFX2Q5fQL9yU8oNkpPh1VftosgAd9wBc+dCuavsHNh8\nZDNPfvUka2PWAtC5QWcmtZ5EicASLmrxBY4dg1atYMMGqFLFdpFUq+b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i78JLaCycNBZO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w+eegomT4agoHJdZv+FC9wfFcWutDRcgFfbtePlNm1wk8HOQgghhNOSMQ213IwZMwgLCyMsLMzR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3AceBmcDklKRGKVVIfP01dOsG8fEwZAjMng2phhhdSEzkxUOHmHn0KIki+JQowZSAAIZUq0YJ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\nf65+fqCgw/emAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe56432b2d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp\n",
"from matplotlib import gridspec\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from numpy import log10, loadtxt\n",
"from src.analytic import Ee, Delta, pi\n",
"\n",
"import matplotlib as mpl\n",
"label_size = 20\n",
"mpl.rcParams['xtick.labelsize'] = label_size \n",
"mpl.rcParams['ytick.labelsize'] = label_size \n",
"\n",
"#fig = figure(figsize=(12,9))\n",
"#ax = fig.add_subplot(111,projection='3d') \n",
"\n",
"fig1 = figure(figsize=(12,12))\n",
"gs1 = gridspec.GridSpec(2, 1, height_ratios=[1,1]) \n",
"fig1.subplots_adjust(hspace=0.001)\n",
"ax11 = fig1.add_subplot(gs1[0])\n",
"ax12 = fig1.add_subplot(gs1[1],sharex=ax11)\n",
"\n",
"#fig2 = figure(figsize=(12,12))\n",
"#gs2 = gridspec.GridSpec(2, 1, height_ratios=[1,1]) \n",
"#fig2.subplots_adjust(hspace=0.001)\n",
"#ax21 = fig2.add_subplot(gs2[0])\n",
"#ax22 = fig2.add_subplot(gs2[1],sharex=ax11)\n",
"\n",
"theta_mean = loadtxt(\"Results/theta_mean_vs_EGMF.dat\")\n",
"dt_mean = loadtxt(\"Results/delay_mean_vs_EGMF.dat\")\n",
"#theta_mean1 = loadtxt(\"Results/theta_mean_vs_EGMF-gen=1.dat\")\n",
"#dt_mean1 = loadtxt(\"Results/delay_mean_vs_EGMF-gen=1.dat\")\n",
"#theta_mean2 = loadtxt(\"Results/theta_mean_vs_EGMF-gen=2.dat\")\n",
"#dt_mean2 = loadtxt(\"Results/delay_mean_vs_EGMF-gen=2.dat\")\n",
"\n",
"Redshifts = theta_mean[1:,0]\n",
"B = theta_mean[0,1:]\n",
"\n",
"i=1\n",
"for z in Redshifts:\n",
" #p=ax.plot(log10(theta_mean[i,1:]),log10(dt_mean[i,1:]),log10(B),\":*\",label=\"z=%1.2f\"%z)\n",
" \n",
" p=ax11.plot(B,theta_mean[i,1:],'-*',linewidth=2)\n",
" ax12.plot(B,dt_mean[i,1:] ,'-*',color=p[0].get_color(),linewidth=2,label=\"z=%1.2f\"%z)\n",
" \n",
" #ax21.plot(B,Delta(Ee(1000,float(z)),B,1,float(z)),linestyle='-',color=p[0].get_color()) \n",
" #ax21.plot(B,theta_mean1[i,1:],'--*',color=p[0].get_color())\n",
" #ax21.plot(B,theta_mean2[i,1:],':.',color=p[0].get_color())\n",
" #ax22.plot(B,dt_mean1[i,1:] ,'--*',color=p[0].get_color(),label=\"z=%1.2f\"%z)\n",
" #ax22.plot(B,dt_mean2[i,1:] ,':.',color=p[0].get_color())\n",
" \n",
" i+=1\n",
"\n",
"#ax11.axhline(y=0.5,color=\"k\",linestyle=\"--\",linewidth=2)\n",
"#ax12.axhline(y=5,color=\"k\",linestyle=\"--\",linewidth=2)\n",
" \n",
"#ax.legend(loc=\"best\",fontsize=\"xx-large\")\n",
"#ax.set_xlabel(\"$\\\\theta$ [deg]\",fontsize=\"xx-large\")\n",
"#ax.set_ylabel(\"Time delay [yrs]\",fontsize=\"xx-large\")\n",
"#ax.set_zlabel(\" log B [Gauss]\",fontsize=\"xx-large\")\n",
"\n",
"ax11.set_xscale('log') \n",
"ax11.set_yscale('log')\n",
"ax11.set_ylim([5e-7,20])\n",
"ax11.grid(b=True,which='major')\n",
"#ax11.legend(loc=\"best\")\n",
"ax11.set_xlabel(\"B [Gauss]\",fontsize=\"x-large\")\n",
"ax11.set_ylabel(\"$\\\\theta_{avg}$ [degre]\",fontsize=\"xx-large\")\n",
"xticklabels = ax11.get_xticklabels()\n",
"setp(xticklabels, visible=False)\n",
"\n",
"ax12.set_xscale('log') \n",
"ax12.set_yscale('log')\n",
"ax12.set_ylim([5e-6,5e9])\n",
"ax12.grid(b=True,which='major')\n",
"ax12.legend(loc=\"best\",fontsize=\"xx-large\")\n",
"ax12.set_xlabel(\"B [Gauss]\",fontsize=\"x-large\")\n",
"ax12.set_ylabel(\"$\\\\Delta t_{avg}$ [yrs]\",fontsize=\"xx-large\")\n",
"\n",
"#ax21.set_xscale('log') \n",
"#ax21.set_yscale('log')\n",
"#ax21.set_ylim([0.8e-4,20])\n",
"#ax21.grid(b=True,which='major')\n",
"#ax21.legend(loc=\"best\")\n",
"#ax21.set_xlabel(\"B [Gauss]\",fontsize=\"x-large\")\n",
"#ax21.set_ylabel(\"average arrival angle [degre]\",fontsize=\"xx-large\")\n",
"#xticklabels = ax21.get_xticklabels()\n",
"#setp(xticklabels, visible=False)\n",
"\n",
"#ax22.set_xscale('log') \n",
"#ax22.set_yscale('log')\n",
"#ax22.set_ylim([1,0.8e9])\n",
"#ax22.grid(b=True,which='major')\n",
"#ax22.legend(loc=\"best\",fontsize=\"xx-large\")\n",
"#ax22.set_xlabel(\"B [Gauss]\",fontsize=\"x-large\")\n",
"#ax22.set_ylabel(\"average time delay [yrs]\",fontsize=\"xx-large\")\n",
"\n",
"show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Figures show, respectively, the mean arrival angle and the mean time delay in \n",
"the GeV band versus extragalactic magnetic field amplitude for a source at \n",
"different redshifts. For magnetic field stronger than $10^{-14}$G, whatever is \n",
"the redshift, mean time delay and arrival angle is constant because leptons are \n",
"trapped in a region closed to there production site. Thus all the photons seems \n",
"arriving under the same angle and the time delay is isotropized. This \n",
"isotropization appends because Larmor radius is really smaller than the \n",
"coherence length of the magnetic field (EGMF).\n",
"\n",
"\n",
"For soft magnetic field ($B \\ll 10^{-12}$G), both, time delay and halo show a \n",
"dependency on the magnetic field amplitude as predicted by equations \n",
"$$\n",
"\\theta = \\arcsin \\left( \\frac{\\lambda_{\\gamma \\gamma}}{D_s} \\sin\\delta \\right)\n",
"$$\n",
"and \n",
"$$\n",
"c \\Delta t = \\lambda_{\\gamma\\gamma} (1- \\cos \\delta) - D_s (1- \\cos \\theta)\n",
"$$ \n",
"The stronger the magnetic field, the \n",
"more deflected the leptons and thus the arrival angle. Mean size \n",
"of the halo and time delay is also affected by the redshift of the source. The \n",
"further the source, the lower the halo extension and the time delay between \n",
"photons. Indeed the size of the halo is corresponding to a virtual source of \n",
"size $\\lambda_{\\gamma\\gamma}$. The further this virtual source, the smaller the \n",
"observed angular size. Moreover previous equation shows that \n",
"time delay is directly related to the arrival angle. This equation point out \n",
"that if distance to the source (i.e. redshift) grows then time delay will be \n",
"reduced as highlighted in time delay panel. \n",
"\n",
"Finally, it appears that measure amplitude of the extragalactic magnetic field \n",
"through halos requires to select the sources. If the EMGF is too weak \n",
"($<10^{-16}$G), halo effect can be observed only on close sources. Far sources \n",
"will appear as point sources. On the other hand, intermediate magnetic field \n",
"amplitude ($10^{-16} \\textrm{G}<\\textrm{B}<10^{-14}$G) can study on further \n",
"sources. At the opposite, time delay study requires weak magnetic field\n",
"and far sources (z$>0.5$), otherwise average time delay is upper than ten years."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Impact of the coherence length $\\lambda_B$"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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DamZkZJCUlMSiRYsiWLqmp2PHjowbN843F4ObdM+IiIic4XagoBwFiTm5ubn07Nmz1tj7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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f89d4195490>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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+1t2PyzBWERERERHpQ2jG/mjgmGlbo3PfXOBVM9w/sYnkTnnBuFTv+FTzuFTv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\nP/G8ZbUapsIzAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f89b3409050>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ee8aOW1jMhduCehjMrANcQDbguA24EXh4joeOx7mhvlj/iSJ5FJyMSEREIglp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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f89b3411b10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import src.distribution\n",
"simus = [\"lambda_B=0.001Mpc\",\"lambda_B=0.01Mpc\",\"lambda_B=1Mpc\",\"lambda_B=100Mpc\"]\n",
"colors = ['b','r','k','g','c','m','y']\n",
"src.distribution.drawSpectrum(simus,plot=\"1month\",colors=colors,yrange=[1e-5,1e-1])\n",
"src.distribution.drawArrivalAngle(simus,colors=colors,yrange=[1e-5,2e-2])\n",
"src.distribution.drawTiming(simus,colors=colors,yrange=[1e-7,2e-2])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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f7svr32/jxu4kitddd51GyTpP/MPc/Vep75iDBDXxn5b0GkmvcfcdVog1sw9K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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb9e9f06a90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import modules.distribution\n",
"colors = ['b','r','g','k','c','m','y']\n",
"simus = [\"lambda_B=0.01Mpc-mono\",\"lambda_B=1Mpc-mono\",\"lambda_B=100Mpc-mono\"]\n",
"simus = [\"lambda_B=0.01Mpc-mono\",\"lambda_B=0.01Mpc-old\"]\n",
"modules.distribution.drawArrivalAngle(simus,colors=colors,yrange=[1e0,2e3],plot='generation')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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k3nu/zp//bFizBv74RzhxwnfOnDlOInDjjVBcHN9k4ODJg6zfsp7VFat5peqV\ngGTgyulXUlbsJAP5mfnxa5SIiIgkTKznGLgxMXgfOAOoB/YBs4BV1tpbQ5x/KvAGUIiTDHwEnAdc\nDGwFLrDWHvU7/y1gU5DJx2ustd8K8v5KDFymuRl274aHHnqOn/70eVJTF9LSsqDr+BlnOInA4sUw\ne3Z823ao4RDrt6xnTcUayqvK8VgPABmpGSw8bSFlxWVcO/NahmUOi2/DREREJOE0+binrwHV1tod\nxpgS4OVezv9vnKTgbmvtg94njTE/Av4X8D2cpUm9HgB+a4x5Gyeh+BLO/IKfR+8rSCy1t8PevbBr\nV89bVRXs378KeAxnwOlTtLe/SFbWz1iw4CZ+8INbmDEjvu2tbajl8Y8eZ/Xm1bxc9XJXMpCeku6U\nCRWX8amZn2J41vD4NizJqU7W3RQ/91Ls3E3xk3BclxhYa8v9HobNmDpHCy4HdvknBZ3uBb4I3GKM\n+RdrbWPn+682xowCvg2MA/4OXKU9DJKHtc4SoaE6/nv2OPsLhJKaejOjRo2iru5VWloM48Z5+OlP\n72Lx4gVxKxU60nikKxl4addLdFinwekp6Vx52pXcWHwj1826jhFZI+LTIBERERnyXJcY9JN3TsAL\n3Q9Ya08aY17HSRw+Abzkd+x/gP+JSwulB2udSb/BOv3en83NoV9vjLO52NSpvtuUKb77EyYYnnjC\ncMcdzZx66h+prvZgjMHEOCs42nSUx7c8zpqKNby488WuZCAtJY0rT72SsjllXDfzOkZmj4xpOwYL\nXfFyN8XPvRQ7d1P8JJzBnhjM7Py5LcTxSpzEYDp+iYHEXkNDzw6//81/AnAwo0f37PB7b5MnQ2Zm\n+NdXVlazcuVCFi26gvXrX6CyMjYDQseajvHER0+wumI1L+58kXZPO+AkAwumLaBsThnXz7qeguyC\nmHy+iIiISF8N9sTAW5RdF+K49/mI6jVuv/12pkyZ4rzRiBHMmzevKyMvLy8HGHKP588vZfdueOKJ\ncmpqICOjlF27YNOmcg4cgLo653wo7/wZ+Dgvr5SpUyE/v5xx4+DCC53Hhw+XU1QEV10V+vP37++9\nfUuXfh6AH//4x8ybN4/Fi++M2vc/2XqSI2OOsLpiNc+/+Dwdng6YCqkmlbNbz6Z0cin33HIPo3JG\nUV5ezgcbP0h4vNz42Hs/Wdqjx4rfUHnsfS5Z2qPH/XvsfS5Z2qPH4R9771dVVREPrluVyJ8xphTn\nSn/QVYnADyrcAAAgAElEQVSMMQ8BdwJ3Wmt/FeT494ClwFJr7fcH2IYhuSpRRwfs3x+8zn/XLti3\nzykJCiUjI/jVfu+toCA+S4OWl5d3/RJGoq65jie3Psnqzat5YccLtHnaAEgxKVwy9RLKisu4YfYN\njM4ZHfFniSNasZPEUPzcS7FzN8XP3bQqUWS8IwKhlnPxPn88xPEhy1qorQ3d8d+zx9kZOJSUFJg0\nKXinf8oUGDfOOSfRIvnjeKLlBH/c+kdWb17N8zuep7WjFXCSgUunXsqNxTeyaPYiCnMLo9Ra8af/\nsbmb4udeip27KX4SzmBPDD7q/DkzxPHpnT9DzUEY1OrqQnf8q6qgsTH864uKQk/wPeUUSE+Px7eI\nr/qWev607U+s3rya57Y/R0tHC+AkAxdPuZiyOWUsmr2IMbljEtxSERERkf4Z7ImBd4+Dy023mh9j\nTD5wAc5Ox29F8iHLli2jtLQ06bLwpqbgE3u9zx07Fv71I0cG7/R7H2dnx/47xFpfhlTrW+p5attT\nrK5YzbOVz3YlAwZDyeSSrmSgKK8oDi0WLw2Hu5vi516Knbspfu5UXl4eMO8gVgZ1YmCt3WmMeQG4\nAvgy8F9+h5cDOcDPrbVNkXzOsmXLInn5gLW1QXV18E7/rl3OWv/h5OSEr/MfPoT30zrZepKntz3N\n6orVPFP5DM3tzvqoBsNFky/ixuIbWTx7MePyxyW4pSIiIjLYeS9AL1++PKaf47rJx8aY64HrOx8W\n4XT6dwKvdT5Xa639ut/503B2MB4DPIlTXnQeUApsBeZba3u5dh62PTGbfOzxwIEDoZf1rK52zgkl\nPT10nf/UqVBYGJ8JvsnKWsvS+5ay4t9XYIyhobWBZyqfYXXFap7e9jRN7b588ZOTPklZcRmLixcz\nPn98AlstIiIiQ5UmH/c0F7gV8PbGLTAVmNb5uAroSgw6Rw3OBu4DFgJXAfuBHwPLrbWhljKNOWvh\nyJHQa/nv3g0tLaFfbwxMnBi64z9+PKSmxu3ruM66P63jv1/6b9oL29lTuIenK5+msc03sWL+KfMp\nKy5jSfESJgybkMCWioiIiMSe60YMko0xxno8npC75tbXB+/0e28nT4Z//8LC0Cv7TJrU+0Ze4owM\nHG48zN4Te9lXv4/fP/p7XnjyBZpHN3Ny4klnvKkGOB3Ov/p8yuaUsXj2Yk4Zfkqimy5hqE7W3RQ/\n91Ls3E3xczeNGLjAVVd9losvvpNhw0p7dPyPHAn/2mHDQq/sM2UK5OXF4xu4V2tHKwfqD3R1+ved\n2Oe7X+/c31+/v2spUQAMcDqw23mYkZLBTZ+/ifs+fx+TR0xOxNcQERERCSlek481YhAhY4yFbwKb\ngJuAWwKOZ2X5OvvBJvqOHDm06/zDOdFyIrCjH6TTf6jhUJ/ea2TWSCYMm8CE/AlMHDaRug/reOrZ\np5g4fCIH6w+y8l9XsvjaxTH+RiIiIiIDpxEDF0hN9TBr1l2ce+4Cpk0L7PiPHZscG3klE4/1cKjh\nkNPJP+Hr5Hfv/J9s7aXOCmf/gHF545gwzOnwT8h3Ov8Bj4dNICc9J+B1K3at4KZ/u4lF1yxi/VPr\nqdxVGauvKyIiIuIKGjGIkDHG5ud/lZUrr2Tx4gWJbk7CNbc3s79+f9hO/4GTB2j3tPf6XjnpOT07\n+Z1X/L1X/8fmjSUtZeD5rWot3UuxczfFz70UO3dT/NxNIwYusHLllVRWVie6GTFlreV48/GwZT37\nTuzjSFMvkyo6jc4Z7ev0508MKPPx3h+RNSLkpG4RERERiS6NGEQolvsYxEu7p52DJw/22un3X9c/\nlLSUNMbnj/d18oOU9YzPH09WWlYcvpmIiIjI4KERAxdYtmxZ1450yaahtaGrs+/fyffv9NecrMFj\nw+yU1ikvI6+rgx+q0z8mdwwpRpMqRERERKJFqxK5RKJGDKy1HGk60rOWv1td//Hm472+l8EwJndM\nYDlPkE7/sMxhcfhm8aVaS/dS7NxN8XMvxc7dFD9304jBENTW0cb++v09r/T7lfnsr99PS0eYbZE7\nZaRm9DqBd1z+ODJSM+LwzUREREQkWWnEIEK97XzcXX1Lfa+1/IcaDmHpPS4jskb0OoF3dM5oTeAV\nERERGQQ0YuAC659azw3X3EBtQ22vnf761vpe369rbf4wZT0T8ieQm5Ebh28nIiIiIkNBryMGxph/\nhD5cvg7tWWvtgQhen9SMMTatJI32A+0wB5gb/vzstOxea/mL8ooiWptf+k61lu6l2Lmb4udeip27\nKX7ulgwjBg9H8P4WuBwYtIkBQHtHO5wDBR8rYOLw8Kv2jMwaqdIeEREREUk6fRkx8AD3Ay/2872H\nA48Dl1lrXxpY85KfMcamT0rnG3d+g//znf+T6OaIiIiIyCDjXa50+fLlMR0x6GticIu19nf9emNj\nRgOHGAKJwdo/rqVyVyX3fOWeRDdHRERERAapWJcS9WUnqiuAvwzgvY93vva9AbzWVRZfu1hJgUvF\nY7MQiQ3Fzt0UP/dS7NxN8ZNwep1jYK3tbwmR93Xt9L/8SEREREREEkD7GEQoUTsfi4iIiMjQkgyl\nRD0YYzKNMV80xqw2xrxsjDmz8/mRxphbjTETo9tMERERERGJpX4nBsaYkcBG4H+Aq4ASYETn4RPA\n94C7otVAkVhSraV7KXbupvi5l2LnboqfhDOQEYP7gRnAtcAU/wPW2g5gPbAg4paJiIiIiEjc9HuO\ngTFmP/CotfbrwZYkNcZ8BVhurR0Z9dYmIWOMvffeeyktLdVOgiIiIiISdUmzj0GPFxjTAnzZWvuL\nEInB3cAPrLXZUW9tEtLkYxERERGJh2ScfLwXmB3m+PnA9oE1RyS+VGvpXoqduyl+7qXYuZviJ+EM\nJDH4A/D5zpWIAi6VG2NuAT4N/D4KbRMRERERkTgZSClRLs5OyB8H3gHmA28ABcCszvuXWmtbotvU\n5KRSIhERERGJh6QrJbLWNuAsUfodIBdoBs4E2oFvMYSSAhERERGRwaJfiYExJtUYMwnIs9b+wFr7\ncWttTuftDGvtCiUF4iaqtXQvxc7dFD/3UuzcTfGTcPo7YpAG7AJuj35TREREREQkUQYyx2Av8ENr\n7U9i0yR30RwDEREREYmHpJtjAPwW+AdjTHq0GyMiIiIiIokxkMTgVSAH+Ksx5ivGmKuNMZd0v0W5\nnUlt2bJlqtlzKcXNvRQ7d1P83EuxczfFz53Ky8tZtmxZzD8nbQCvedrv/o9DnGOB1AG8tyvFI1Ai\nIiIiMjSVlpZSWlrK8uXLY/o5A5ljcHtfzrPWPjKA9riO5hiIiIiISDzEeo5BvxMDCaTEQERERETi\nIRknH4sMGqq1dC/Fzt0UP/dS7NxN8ZNw+j3HwBhzG84cglAszm7I1cDfrLWtA2ybiIiIiIjEyUDm\nGHj6cfox4LvW2v/s14e4iEqJRERERCQekrGUaC7wPvAKsASY13kr63zub8D8zmObgR8ZYz4XldaK\niIiIiEhMDCQxuBs4DlxqrV1vrf2g87YWuAyoB2611q4HLsFJFO6KWotFoki1lu6l2Lmb4udeip27\nKX4SzkASgxuA9dbaHiVF1toOYD3OaAHW2nZgDTA7kkaKiIiIiEhsDWSOwUngJ9bab4U4fj/wVWtt\nbufjfwJ+YK3Nj7SxyUhzDEREREQkHpJxjsEG4CvGmMu6HzDGXA58BXjV7+nTcVYoEhERERGRJDWQ\nxOCrQAPwgjFmszHmic5bBfA8cBL4GoAxJhs4F/hDtBosEk2qtXQvxc7dFD/3UuzcTfGTcPq9j4G1\ndpsx5gzgG8DVwEKcvQuqgP8Evm+tPdR5bhNwTtRam6SWLVtGaWkppaWliW6KiIiIiAwy5eXlvPzy\nyzH/nH7PMZBAmmMgIiIiIjFlLc/97ndcecstMZ1j0O8RAwBjTCZwO85ypGOAf7HW/s0YMxK4FnjJ\nWrs3aq0UEREREXGjtjY4cQLq6nr/GeS5VYcO8VhjI3Pj0NR+Jwadnf+XgTOARiAHGNF5+ATwPeBR\n4J4otVEkZsrLy1UC5lKKnbspfu6l2Lmb4tcP1sLJkwPu0Hf9bGqKqBk3A6MIXNknVgYyYnA/MANn\nZGAjcMh7wFrbYYxZDyxAiYGIiIiIJEJLS9867b2dE41y8ZQUGD4chg0L/zPEMTN8OObFF2n+wheg\nvj7y9oQxkH0M9gOPWmu/bowZjZMYXGatfanz+FeA5dbakVFvbRLSHAMRERGRKOno8F2lj6RD39IS\nnfbk5ITttPelY09uLpjIpgU8vGIFk2bMYOGSJUk3x2AUsDXMcQtkDaw5IiIy2Flr+eHSpXx9xQpM\nhP+zlPhS7NwtpvGzFpqb+15eE+qcaF0RT0uLvEM/bJjzPkng80uXxuVzBvJt9wKzwxw/H9g+sOaI\nxJdqLd1LsXOv59et4+2f/pQXzjmHBYsXJ7o50g+KnbuFjF97u9Mp70/dfLDn2tuj09D8/N477b0d\ny8qK+Cr9UDSQUqL7gbuAUmA3UEtnKZEx5hbg18B3rLX3R7mtSUmlRO6mzqV7KXZJoL3dubrn7Rj0\nclv1/vs8tm0bczs6uKy5mRczM9lkDDeNHcstY8Y47+n/P/Le7vfnXL1fRO+9avt2Htu6lbnWcll9\nPS/m5zuxmzmTW6ZPJ0Bf/p8YjXMG03vE+HNWVVXx2M6dTvwaGpzfPWu5KSuLW9rbobGx9/fui8zM\nvnXaw52TlwepqdFpzyBkjIlpKdFAEoNc4C/Ax4F3gPnAG0ABMKvz/qXW2igVdyU3JQYi4jqtrb13\n5PvS2e9nZ8ICz+GsrLECWAqU4KxWoet6yU2xc7de42dM5B36YcOcxEBiKtaJwUB2Pm4wxpQAXwU+\nAzQDZ+KUD30LeGCoJAUiInFjrW+Vjf524LufG61JeSkpvjrcPtzM8OGYTZtofuAB/vfYsXgOHsR8\n5zuYSy7xfUf/7xvufn/OHQzvl+C2GmsxGzfS/PDD/O+CAjxHj2K+8AXMuecSVF9KOKJxTrK8R7w+\nZ4DvYQDz+us0/9d/8b8LC/EcPoz53vcwN97o/H7m5ansRoABbnDW2fH/QedNxLVUjuJeromdtc4a\n1gPpwHe/tbVFp02pqYGT67rfwh3zvw1gpY3qykoW/uY3ZBQU0Hr0KNWVlRCqcylJpXrPHhauWhUY\nu5tvTnSzpI+qKypY+NvfBsZvwoREN0uSTL9LiSSQSonczTWdSwlgreVLN9/Mzx99NHYro3g80NAQ\nebnNiRPO8nvRkJ4e2Gnvawe++7lJMClPv3vupdi5m+LnbgmfY2CMuQ2nPK1frLW/GWij3ESJgUj8\nPbd2Lc/fcQcLV67suTKKdw3sSMtt6uujs7ENQHb2wDrw3W+q3xURGdKSITHwDOSNrbUpA2qRyygx\nEImfVT/5CY898ABz6+v57rFjfDsnh00eDzcNH84tqalOh/7kyeh9YG5u5OU2+fmQkRG9NomIyJCV\nDJOPp3V7PAxnSdKTwE+BbZ3PzwS+AuQAt0WrgSKxpCHVJHf8OGzYAK+8Aq+8ws3vvssoa3kVeAXw\nNDZyF7CguTnwdd41sCMpucnLS5qNbQYj/e65l2LnboqfhNPr//WstVX+j40xDwEngEustf6Fs5uM\nMeuBl3D2OfhiFNspIkPB4cMBiQCbNgWujJKaipk6leY9e3hw2DAmNDZivv1tzHXX+Tr2eXnOajki\nIiLSLwPZx6AWuM9a+7MQx+8G7rXWjo5C+5KeMcbee++9lJaWKgMX6a+DB31JwCuvwObNgcfT0+G8\n86CkBC66CObP5+Gf/YxJM2ZwxaJFvLB+PdWVldx5zz2Jab+IiEgclJeXU15ezvLly5Nug7MG4KfW\n2qUhjq8A7rbW5kWhfUlPcwxE+mHfvsBEYOvWwONZWfCJTziJQEmJcz87OzFtFRERSTLJMMegu5eB\nu40x5dba5/0PGGMW4swzKI9C20RiTrWWMVZVFZgI7NwZeDwnBy64wBkNKClx1rPv48o7ip27KX7u\npdi5m+In4QwkMfgazq7azxpjPiJw8vFMoAZnV2QRGUqshe3b4dVXfYnAnj2B5+Tnwyc/6RsROOss\np1xIREREEm5AG5wZY0YD3wCuBabg7HNQBTwF/MBaWxu9JiY3lRLJkGUtfPSRLwl49VXYvz/wnBEj\n4MILfYnAvHla6UdERGSAEr6PgYSnxECGDI/HmRzsnwgcOhR4zujRvrKgkhL42Me0QpCIiEiUJOMc\nA5FBQ7WWYXR0OMuFehOBDRvg6NHAc4qKfCsGlZRAcTGYmP29CqDYuZvi516KnbspfhJOr4mBMSbF\nWjug3Y8jea2IxFlbG7z3ni8ReO01qKsLPGfiRN9oQEkJTJ8et0RAREREYqvXUiJjjAe4xVr7u369\nsTMP4RBwmbX2pYE3MbmplEhcq7UV3nnHlwi8/jo0NASeM2VKYCIwdaoSARERkQRxcymRessiyaS5\nGTZu9CUCb74JTU2B50yf7ksCLroIJk1KTFtFREQk7vo6YhAJjRhI0hrUtZYNDU7n35sIbNzojBL4\nmz07MBEYPz4xbR2AQR27IUDxcy/Fzt0UP3dLhhGD+yJ4fwvsiuD1ItJXJ07AG2/4EoF33oH29sBz\nzjjDlwhceCGMGZOYtoqIiEjS0XKlEdKIgSTM8ePOSkHeROBvf3OWFPVKSXH2DfBPBAoKEtdeERER\niUgyjBiISDI4fDgwEdi0ydlkzCs1Fc47z5cIXHABDB+euPaKiIiIqygxkCEtqWstDx70JQGvvOJs\nLuYvPR3OPdeXCMyfD3l5iWlrAiR17KRXip97KXbupvhJOEoMRJLFvn2BicDWrYHHMzPh/PN9E4U/\n8QnIyUlMW0VERGTQ0RyDCGmOgQxYVVVgIrBzZ+DxnBxnFMA7InDuuU5yICIiIkOS5hiIDAbWwo4d\ngYnAnj2B5+Tnwyc/6RsROOssyMhITHtFRERkyIlJYmCM+T2wB3gO2GCtbe/lJSIJEbNaS2vho498\nScCrr8L+/YHnjBjhrBTkHRGYNw/SlKv3lepk3U3xcy/Fzt0UPwknVr2QV4BaYBHwI2PMbuBxYJW1\nNtIN02LKGHMR8K/AmcB44HPW2l8ntlWS9DweZ3KwfyJw6FDgOaNHOyMBF13kJAIf+5izkpCIiIhI\nEojJHANjzKettX/ovJ8GfANoBDKstd+P+gdGkTHmSuAC4D3gN8A/WWt/E+Z8zTEYijo6nOVCvYnA\nhg1w9GjgOWPH+kYDSkqcXYZTUhLTXhEREXE9t84xOM0YcyfwO2ttozFmm7V2jTHm0zH6vKix1j4L\nPAtgjHkksa2RpNHWBu+950sEXnsN6uoCz5kwITARmDEDTMx+d0VERESiKlaXL/8DOBXYZ4zZAsw1\nxmQBo2L0eSIDUl5eHvxAayu8/jrcfz8sWAAjRzqbh/3bv8HTTztJwZQpcNtt8KtfOROLq6vh0Ufh\nC1+AmTOVFMRYyNiJKyh+7qXYuZviJ+HEZMTAWtsBLDXGfAfItdbWGWOKgI/H4vNEBsJay+8feoiS\nkhJMSwts3OgbEXjzTWhqCnzB9Om+FYNKSmDSpMQ0XERERCQGYjXH4LtAK/CStfa1qH9AFBhjbgZ+\n7vfUQmvt693OqQe+rDkGg9CJEzz3f/8vz3//+yw89VQW7NjhjBL4mz3bVxZ00UUwfnxi2ioiIiKC\ne+cY7ATWAMOMMTcBf7PWbuvvmxhjlgAlwDxgLpAHPGqt/WyY10wE7gMWAgXAAeAJYLm19rjfqU8C\nb/o97raWpAwabW3wwQfw9tvw9tuseu45HqupYS7wAPDtLVv4GXDT+PHcsmiRLxEYMybBDRcRERGJ\nn1iVEv2q82498Jgx5gag34kB8G3gjM732QvMAkJenjfGnAq8ARTiJAMfAecBXwUWGmMusNYe7Wzj\nSeDkANokycxaZwfhjRu7EgH+9jdoaek65WZgVEoKr6am8kpbG57Ro7nrhz9kwW23aV6Ai2gtbndT\n/NxLsXM3xU/CidUGZ48B44BfAxuBYpx9DPrra0C1tXaHMaYEeLmX8/8bJym421r7oF97fgT8L+B7\nwD/10vZcYHrnwxRgsjFmHnDEWls9gO8gsVRbC++8E5gIdF82FJz5AeedB+eeizn3XMyOHTR/6Us8\nOH48E44exeTnY5QUiIiIyBAWqzkGZcBbwJ3AWcAfwtXp9/E9S4GXcDZJuzXI8VOBSmCXtfbUbsfy\ngBqc0Yax1trGPnwOned7e4uPWGvvCHK+5hjES2Ojs2SoNwHYuBF27ep5XmGhkwR0JgKcfTYUFASc\n8vCKFUyaMYMrFi3ihfXrqa6s5M577onTFxERERHpv1jPMYhVYjAZmGmtfcEYk2WtbY7Ce5YSPjG4\nE3gI+H/W2h6jAsaY54HLgcustS91Px5Bu5QYxEJHB2zZ4ksC3n7bmSfQ0RF4Xk4OnHWWkwB4E4FJ\nk1QSJCIiIoOOWycfXwJ80Hn/E8aYSZGOGPTBzM6foeYyVOIkBtPxjQhIMrAW9u0LLAf661/hZLcp\nICkpcMYZTuffmwgUF0PawP8zVq2leyl27qb4uZdi526Kn4QTq8TgXOAaY8wcnAThCBDrxGB458+6\nEMe9z4+I9gfffvvtTJkyxXnzESOYN29e1y+ddyMRPfZ7fPIkpdnZsHEj5c88A1u2UNo5L8A5G0oB\nJk+mfMoUmD2b0s98Bs46i/J33olqe95///3E/3vosR7rsR676LFXsrRHj/v32CtZ2qPH4R9771dV\nVREPsSolutpa+7QxJgWYD0yx1q6K8D1LCV9K9BDOnIY7/VZF8j/+PWApsNRa+/1I2tLtfVVKFE5r\na8BSoWzcCB991PO8ESN8IwHnngvnnANFRfFvr4iIiEiScmsp0QXGmI3W2sPAa8aY/Bh9jj/viMDw\nEMe9zx8PcVwiZS1s3x44L+C99wKWCgUgIwPmzfPNCTj3XDjtNKdUSERERER6iMeF6FglBr8EXjTG\nbAE2AeOBZ2P0WV7ey9AzQxz3LkE6kP0UJJhDhwKTgLffhmPHep43c2bg5OAzzoDMzPi3N4jy8vKu\nYTtxF8XO3RQ/91Ls3E3xc691Tz8d88+I1QZnO4wx84FFOPsK3B+Lz+nGu8fB5aZbfU/niMUFQAPO\nMqrSX42NzkZh/hOEg9W7jR0bOBJwzjlOmZCIiIjIENfu8dDo8dDQ0UGjx0NjR0fg/SDPvbFuHX99\n8knap02Lefv6nBgYY8YAy4GLgZE4JTmbcer+11lrD/if37lXQETzCvrDWrvTGPMCcAXwZeC//A4v\nB3KAn1trm6L92cuWLaO0tHTwZOAdHVBR4ZsT8Pbb8OGHPZcKzc119gjwnxtwyimuWip00MRsCFLs\n3E3xcydrLc+9/jolJSXaFNKl9LsXmsdamv067Q0dHTT63w/xnH9HvrfnWgdSDnTWWbBtG7z5ZvS/\ndDd9nnxsjPkN8CRwEpgMnA8sAXKBduAPOBN790atccZcD1zf+bAIp9O/E3it87laa+3X/c6fBrwB\njOls60fAeUApsBWYb60NUusSURvdPfnYWqiuDiwH+utfoaEh8LzUVDj99MDRgOJi53kRkX6w1rL0\n/vtZ8c1vqnMZJR5rabOWdmtp83icn97H3X/287j//b/95S+sfeYZyq6+mrMuvZQMY0g3hvSUlK77\nGSkpgT97Oe5/P0X/PUgI1lpare3TFXbvc/4d+b481+TxxPx7pAC5qankpKSQk5radb+357aVl/Po\nU0/RvGZNcmxwZoy511q7vNtzK4F7gWuAzwLFwB3W2nVRaZwx93a+f/dGev9Bqqy107q9ZiJwH7AQ\nGAXsBx4HlltrQy1lGkkb3ZUYHD8O77wTmAjU1PQ8b8qUwHkBH/+4M0IwyKjW0p2stdx85508+otf\nqGPpQmufeopbH3iA3/7Lv7D46qtj/nmeCDvGbjge8/8L/fnP8NJLcOqpztXLd9+FHTvgkkvg8suj\n9jGp0K8kI1oJSW/n9uVz3fC3KJZ/OzusjfhqerjnGjs66Oi9GRHLTknpd6e9P89lDPC/lRUPPsiM\nKVNYcs01SZMYfBPYZK192u+5ldbaz/k9Ph34IfBTa22sJxsnhaRODFpanKVC/ecFbN3a87yRIwM3\nDTvnHBgzJv7tTQAlBu4UScfSWoun86eFXu97cK5MRHLf0/mekdyPynv043vH4t/jnfXrefvJJ/FM\nm8bRuXMZsWkTKTt2cPq11zLzuuti1nGO/TXA5ODt7Kb5/0xJCXw8wONpwM5XXmHDhg3Un3km+e++\nyydLSph04YW0df5bt3o8Pe63dsajtfvzIY67mfffLd4JSX8SoReef56v/eQn/Mfdd/PJyy/v19X0\n3kpqBlQi00/pxvg629063sGe62+nPTslJelHrWK9XGl/EoNU4FGcycQPAM8Bv/BPDDrPM8B/WWu/\nHOW2JqWkSQw8Ht9Sod5E4P33nX0E/GVmOlf//ROBU0911bwAGTo81rKvpYXKpia2NTay9ne/Y+OT\nT9IydSptd9yB+eUvMTt2kH7ppaRdcUWvHWFJMGudv00ffACf/zw8/DDMnetcjIjx36BIO8bJfjw1\nDn/D1z71FHesWsUpWVlUNzWx8tZbozriY/0SvGgkGaGOx+K92pOhHxCO/4jPP/4j/PKXUR/xMdCv\nTvtAnkvXsubJs4+BtbYDuMkY8yXg1zj/nz1hjPkC8A6wG2dC8jhisLtwMkvI5OODB3suFXo8yBYN\ns2cHTg4+4wxnHwGRJGGtpbatjW2NjU4C0NREZWMj25qa2N7UFFjzefbZThL8wQfg/HHE3nADLeec\nQ0s/akNN5y3FmAHdT8H54xzJ/RRvO/p5f6BtDmh/NN5jgN+7YtcunmxrY/jDD1PX1sZnioo4e8aM\nmHacvZ8tkancvZuVn/0si666ivXPPEPl7t1RfX/jvSoO5Lhs/prtTCCSLWHxntt67bUcLyjg2N/+\nhhSI9CwAACAASURBVMc4I0ATP/MZxl9wAXlpaVHptGelpOj3LIbKy8t77F4dCwPa+dgYkwvcDHwa\nZxlQ/55mLfAla+3jUWlhkovLiEFDg1PP6Z8EBPuDPG5c4OTgs8+G4aH2exNQKVE8HW9ro7Kpqevq\n/za/+ye6r3jlZ0x6OtOzs5mRk8OM7GwOv/46P3/ySQqOH+fYiBE8ePPNXH/VVX3v3Op/XAnlrZMt\nyMnhaGMjlbt3c88//3OimyX9oL+b7uQd8Sk4fpyjw4dHfcRH4iNpRgz8WWsbgIeAh4wx2TirFBUA\nh4Gd1tr26DVxiGlvd5YK9Z8X8OGHzlVSf3l5TsffPxGYMEElQZJQjR0dbO/s7He/+l/b1hbydcNT\nU5mRk9OVAEzPzmZGdjbTc3IYnhb4Z2rFU0/x61tvDehYDkuL1V6NEm1Lv+xUmZaXl6tTIhJH3hEf\n/7+dIt0NaMRAfCIaMbAW9uwJnBfw7rvOZmL+UlOdEiD/VYJmzdJSoZIQrR4PO71X+/06/pVNText\naQn5uuyUlKAd/xnZ2YxOT9eVfBERkV4k5YiBDNCxY76lQr2JwKFDPc+bNi1wcvC8eZCTE//2ypDV\nYS17mpu7Sn28ScC2xkaqmptDTuRNN4ZpWVlBr/6Pz8xM+tUeREREhjIlBlFgre15tbOlxVkVyH9e\nwLZtPV88alTg5OBzz4XRo+PTcBnStbLWWg60tgYt+9nR1BRy6TkDTM3KCnr1f3JmJmlxWjViKMdu\nMFD83EuxczfFT8JRYhAFn/30p7nzmmsoBV8S8P770L2mOisLzjwzMAmYNk3zAiSmjnSu+NO97Key\nsZGGMCv5jM/ICJj06y37mZadTaaWjBMREYmbpF6VSHyMMfabxrDJWm4CbvEdcJYK9Z8c/LGPQXp6\nAlsrg1V9e3uPsh9vEnCsPfRaAKPS0oKW/ZyWnU2eJvSKiIgkFc0xcAGPtdw1ciQLSkrgE59wkoCz\nzoJhwxLdNBlEmjo62BFi0m9N943s/OSlpjIjSNnP9OxsCpSoioiISCclBlHQlJeHefhhzOLFiW6K\n9FOy1Vq2eTxU+U369V/rv7qlhVDje5nGcJp/598vCRibkTEoV/xJtthJ/yh+7qXYuZviJ+EoMYiC\nKx95hOrKykQ3Q1zCYy17W1qClv3sam6mPUR5XyowLTs76KTfU7Tij4iIiERIcwwiFJedj8V1rLUc\nbG0NWvazvamJ5jCTfidlZgZ2/jt/Ts3KIl2TfkVERIYszTFwgWXLllFaWqqhuSHoWFtb0LX+K5ua\nqO/oCPm6senpQct+Ts3OJlsb14mIiIgfrUrkEhoxcC9rLTffeSeP/uIXYWvwGzo6qAxS9lPZ1MTh\n7kvS+hmRluaU+nRb8nN6djbDtOJPxFQn626Kn3spdu6m+LmbRgxEYmTd00/zxK5drH/mGa658kp2\nBun4b2tsZH+YFX9yUlKClv3MyM5mVHr6oJz0KyIiIoOTRgwipBED9/n5I4/wH7/+NXWTJ3P8tttI\n+9WvaN++HS65BC6/vMf56cZwamdnv/uk3/GDdMUfERERST4aMRCJkl1NTfzm4EEemTmT3QsXwgcf\ngDG0ezxwww1MvfBCp+Sn29X/SZmZpGnSr4iIiAxySgxkUGvo6GBdbS2P1NTw8vHjXc8XpKdzsq2N\n4d/7Ho0jR/KL4mJuOv/8BLZU+kt1su6m+LmXYuduip+Eo8RABh1rLRvq6nikpoY1tbWc7FwdKCsl\nhcWjR3N7UREbN29m1m23UZCTw9HGRip3705wq0VEREQSS3MMIqQ5BsmjqrNU6Nc1Nexsbu56fv6w\nYdxeVETZmDEM12pAIiIi4lKaY+AC2scgcRo6OlhfW8vKbqVCEzMzuXXsWG4rKmJGTk4CWygiIiIS\nGe1j4BIaMYg/ay2vdZYKre5WKrSos1TokpEjSe3DakGqtXQvxc7dFD/3UuzcTfFzN40YiHTa3dzM\nb2pq+HVNDTtUKiQiIiISVRoxiJBGDGLLWyr0SE0NL/mVCk3IyODWoiJuKypipkqFREREZAjQiIEM\nOdZaXvcrFar3KxW6obNU6NI+lgqJiIiISN9o1yZJGnuam/luVRXTN27kwvff55c1NdR3dHD+sGH8\nvxkzOHD++fyuuJgrCgqilhTEYyKPxIZi526Kn3spdu6m+Ek4GjGQhGrsVirkLcoa7y0VGjuWWbm5\nCW2jiIiIyFCgOQYR0hyD/rPW8saJEzxSU8MfDh3qKhXKNIYbCgu5vaiIy1QqJCIiIhJAcwxk0NjT\n3MxvDx7kkZoatjc1dT1/Xn4+nxs3jk8XFjIiPT2BLRQREREZujTHQGKqsaODRw8e5PJNm5jy1lt8\ne9cutjc1MS4jg2+ccgoV55zDW2edxRfHj09IUqBaS/dS7NxN8XMvxc7dFD8JRyMGUaCdjwNZa3nT\nr1TohF+p0PWdqwpdNnIkaSnKS0VERER6o52PXUJzDHyq/UqFKruVCt1eVMSnx4xhpEqFRERERAZE\ncwwkqTV1dPD44cM8UlPDi8eOda0qNC4jg8+OHcvtRUXM1qpCIiIiIklPtRzSb9Za3qyr44tbt1L0\n/9m78/goy3v//687+x5IICSyL7K5gAqyWEvUKiBVkGCPp6hF256qXWxP4Xzr+fVboac9tAdsbT2e\nr9VjoRUrrQSBIgW0GrECsoi4gBiRnYQthOzbzPX7404yWSeTTCYzd/J+Ph7zmMx93zNzJVcmuT73\n/flc1/btzD94kNcuXiTSsvhK375suuoqjk+ezC+HDw/5oEC5ls6lvnM29Z9zqe+cTf0n3uiKgfjs\nZINUoU8bpApd3yBVKEWpQiIiIiKOpBoDP3X3GoNyl4t1talCrzVIFUqvTRX6Wno6V4T4VQERERGR\n7kA1BtLljDG8Wzur0OqzZ7lUO6tQlGUxu3ZWods0q5CIiIhIt6KRndQ7VVnJL44dY8yuXUzZt4/f\n5eVxyeViYmIiT19+OXlTp/KXK67g9tTUbhMUKNfSudR3zqb+cy71nbOp/8QbXTHo4cpdLtY3SBVy\n127vFxnJfenpLFCqkIiIiEiPoBoDPzmxxsAYw67iYlbm5/PSmTONUoXurE0Vmq5UIREREZGQohoD\n6TSnKitZVTur0CdlZfXbJ9TOKnRPWhqpmlVIREREpEfSKeFursLl4s9nzzLzgw8YtGMHP/r8cz4p\nK6NfZCQ/HDCADydMYPd11/Ht/v17ZFCgXEvnUt85m/rPudR3zqb+E290xaAbMsawu7iYFbWzChXW\n1AAQaVnclZpqpwqlpBCpVCERERERqaUaAz9ZlmUef/xxMjMzyczMDGpbTjdIFTrYIFXouoQEFqSn\n88/9+vXIqwIiIiIiTpaTk0NOTg5LliwJaI2BAgM/Bbv4uMLlYsOFC6zMz2dLQUH9rEJpkZHcW7sA\n2dUJCUFrn4iIiIh0jkAXHyuXxIGMMewuKuKRTz8lY8cO/unAAf5WUEC4ZTG3Tx82XHklJ6dM4YkR\nIxQUtEG5ls6lvnM29Z9zqe+cTf0n3qjGwEHyGqQKHWiQKnRtXapQWhp9oqKC2EIRERERcSqlEvkp\n0KlElW43G2oXINusVCERERGRHkvrGPRAxhj21i5A9qezZ7lYO6tQhGUxu3ZWoZmaVUhEREREOpFG\nliEkv7KS5cePc9Xu3Ux87z2ePn2aizU1XJOQwG9GjOD0lCmsvfJK7uzTR0FBJ1GupXOp75xN/edc\n6jtnU/+JN7piEGSVbjd/bZAq5Krd3qc2VWhBejrjlCokIiIiIgGmGgM/daTGwFuq0JcbpApF6aqA\niIiIiNRSjUE3kl9ZyYtnz7IyP5+PSkvrt4+vnVXoq2lp9NWsQiIiIiISBDolHWCVbjfZ585xx4cf\nMmDHDhYePsxHpaX0iYzk0f792XfddeybMIFHBwxQUBAEyrV0LvWds6n/nEt952zqP/FGVwwCwBjD\nvpISVuTn86czZyhoOKtQSgoL0tO5PTVVqUIiIiIiEjJUY+Any7KM2+3GsizOVFXxYu0CZB82SBW6\nOj6eB9LT+Wq/fqTpqoCIiIiIdIBqDBzg31av5tCVV7LpwoVGswrNT0tjQXo64xMTg9o+EREREZG2\nKJelEyx/9VX++i//gvu117gzNZW1V1zBqSlTePLyyxUUhDjlWjqX+s7Z1H/Opb5zNvWfeKMrBp0g\nEvjqQw/xi3vuIT06OtjNERERERFpN9UY+MmyLJP4la+w4v77yZo1K9jNEREREZFuKtA1Bkol6gQr\n7r+f3GPHgt0MEREREZEOU2DQCT7cvZvJY8cGuxnSAcq1dC71nbOp/5xLfeds6j9nysnJYfHixQF/\nH9UYdIKu6CgRERER6ZkyMzPJzMxkyZIlAX0f1Rj4ybIso5+hiIiIiASaagxERERERCTgFBhIj6Zc\nS+dS3zmb+s+51HfOpv4TbxQYiIiIiIiIagz8pRoDEREREekKqjEQEREREZGAU2AgPZpyLZ1Lfeds\n6j/nUt85m/pPvFFgICIiIiIiqjHwl2oMRERERKQrqMZAREREREQCToGB9GjKtXQu9Z2zqf+cS33n\nbOo/8UaBgYiIiIiIqMbAX6oxEBEREZGuoBoDEREREREJOAUG0qMp19K51HfOpv5zLvWds6n/xBsF\nBiIiIiIiohqDpizLegyYC4wEKoGdwGPGmI9bOV41BiIiIiIScKox6HrTgP8GpgA3AzXA65Zl9Q5q\nq0REREREAkiBQRPGmBnGmD8YYw4YYz4C7gP6AlOD3DQJAOVaOpf6ztnUf86lvnM29Z94o8CgbUnY\nP6eLwW6IiIiIiEigqMagDZZl/QUYDkxoqZhANQYiIiIi0hVUYxAglmXNtyyruMHthhaO+RV2ClGW\nRv8iIiIi0p2FdGBgWdY8y7KesizrbcuyiizLcluW9UIbzxlgWdbvLcs6bVlWhWVZRyzL+rVlWb2a\nHLoeGNfgtrfJ6/wa+CfgZmPM0c77riSUKNfSudR3zqb+cy71nbOp/8SbiGA3oA0/Bq4GioGTwGig\n1TP3lmUNB7ZjFwuvAz4BJgGPAjMsy7rBGFMAYIwpAUpaeZ3fAHcDNxljPu2070ZEREREJESFdI2B\nZVmZwAljzGHLsqYBbwKrjDH3t3L8FuBW4LvGmKcbbH8C+AHwO2PMw22859PAvcAc4GCDXcXGmNIW\njleWkYiIiIgEXKBrDEI6MGioNkh4g1YCg9qrBbnAEWPM8Cb7EoB87KsN/YwxZV7ex117XNMf+mJj\nzE9bOF6BgYiIiIgEnIqPfXdT7f3Wpjtq04beAeKByd5exBgTZowJr71veGsWFIjzKdfSudR3zqb+\ncy71nbOp/8Sb7hQYjKq9b60mILf2/vIuaIuIiIiIiKOEevFxeyTX3l9qZX/d9qazE/ltwYIFDBky\nxH7xXr0YP348mZmZgCcy1+PQfFy3LVTao8e+P87MzAyp9uix+k+P9ViP9bizH9d9ffToUbpCd6ox\neBb4BvANY8zvW9j/c+Ax4DFjzC87sV2qMRARERGRgFONge/qrggkt7K/bnthF7RFHKJhRC7Oor5z\nNvWfc6nvnE39J950p8Dgk9r7Ua3sr6st0LoEIiIiIiJNdKdUomHAZ8ARYETD/B7LshKBPOxpSNOM\nMeWd2C6lEomIiIhIwCmVyEfGmM+xpyodCny7ye4lQBzwQmcGBXUWL16sS3MiIiIiEhA5OTksXrw4\n4O8T0lcMLMuag70CMUA6cBvwOfCP2m3njDGLGhw/DNgOpAHrsdOLJgGZwCFgqjHmYie3UVcMHCwn\nJ6d+BgBxFvWds6n/nEt952zqP2cL9BWDUJ+udBxwP3YKELX3Q4FhtY+PAvWBgTHmc8uyJgA/BWYA\ntwOngSeBJcaY1qYyFRERERHp0UL6ioET6IqBiIiIiHQF1RiIiIiIiEjAKTDoBCo+di71m3Op75xN\n/edc6jtnU/85U1cVH4d6jYEjdEVHiYiIiEjPlJmZSWZmJkuWLAno+6jGwE+qMRARERGRrqAaAxER\nERERCTgFBtKjKdfSudR3zqb+cy71nbOp/8QbBQYiIiIiIqIaA39ZlmUef/zx+qIQEREREZHOlJOT\nQ05ODkuWLAlojYECAz+p+FhEREREuoKKj0UCSLmWzqW+czb1n3Op75xN/SfeKDAQERERERGlEvlL\nqUQiIiIi0hWUSiQiIiIiIgGnwEB6NOVaOpf6ztnUf86lvnM29Z94o8CgEyxevFgfNBEREREJiJyc\nHBYvXhzw91GNgZ9UYyAiIiIiXUE1BiIiIiIiEnAKDKRHUwqYc6nvnE3951zqO2dT/4k3CgykR3v/\n/feD3QTpIPWds6n/nEt952zqP/FGgYH0aIWFhcFugnSQ+s7Z1H/Opb5zNvWfeKPAoJvozEuDHX2t\n9jzPl2O9HdPefaF86bSz2xYK/dfR/e3dHgr02Wt7X6j2X3f87LV1jP52dv7r+fo8f/vO236nffZA\nfzvb2hesvlNg0E3oA+Z9X2vHHz16tM12BJrT/rn5cmxX/HMLhb4DffZ82Req/dcdP3ttHdMZfztD\noe/Aef0XKoFBd+y/nvLZ6wqartRPlmXpBygiIiIiXULTlYY4Y0zQb48//njQX6s9z/PlWG/HtHdf\na8d35s8tFPouVPqvo/vbsz0U+q6z2xEKfdfWMR3ZF6r91x0/e53df6Had07sP3/7ztt+p332Orsd\nPeWzZ0zgz0WHd8Uqat3ZkiVLFofKz3DIkCFBf632PM+XY70d0959LW1buXIlc+bMabMdgdaZfefP\n63Vm/3V0v6/bQ6XvQJ89X/aFav91x89eW8f4+7czVPoOnNd//vadt/1O++yB/na2ta+lbUuWLGHx\n4sVL2mxIBymVyE9a+djZFixYwMqVK4PdDOkA9Z2zqf+cS33nbOo/Z9PKxyIBtGDBgmA3QTpIfeds\n6j/nUt85m/pPvNEVAz/pioGIiIiIdAVdMRAJoFCe41m8U985m/rPudR3zqb+E28UGIiIiIiIiFKJ\n/KVUIhERERHpCkolcoDFixfr0pyIiIiIBEROTg5dMT2+rhj4SVcMnC0nJ4fMzMxgN0M6QH3nbOo/\n51LfOZv6z9l0xUBERERERAJOVwz8pCsGIiIiItIVdMVAREREREQCToGB9GgqGncu9Z2zqf+cS33n\nbOo/8UaBgYiIiIiIqMbAX6oxEBEREZGuoBoDEREREREJOAUG0qMp19K51HfOpv5zLvWds6n/xBsF\nBiIiIiIiohoDf1mWZR5//HEyMzO1kqCIiIiIdLqcnBxycnJYsmRJQGsMFBj4ScXHIiIiItIVVHws\nEkDKtXQu9Z2zqf+cS33nbOo/5+qKE9ERAX8HERERERFpN5fbRX5JPqeKT7Fmw5qAv59SifykVCIR\nERERaa/iymJOFZ/iVNGpxvcNvs4vycf9vhs+AtKBtwloKpGuGIiIiIiIdJKGZ/lPFZ3idPHpZgP+\nU0WnKK4q9un1+k7pS/xl8eR/nE8FFQFtuwID6dFycnI0m5RDqe+cTf3nXOo7Z1P/+cfns/zG3eZr\nxUTE0D+xP/2T+tv3Db+uvc9IzCAqPIo1G9bw4IcPKjAQEREREQmkhmf5TxefbnHA356z/Gnxac0G\n/ZclXtZo4N87pjeW5VtWUO6RXFYsXMG8bfP8+TbbpBoDP6nGQERERCR0BessfyAEerpSXTEQERER\nEcepO8tfn8MfYmf5nUiBgfRoyrV0LvWds6n/nMkYw/wH5vPiihe79eCoO3PKZ687neV3EgUGIiIi\n4pOX17/Mun3rWLNhDXfPvjvYzREH0ln+0KYaAz+pxkBEREKB27gpry6nrLqM0upSyqrL7K+rGnzt\ny/YWjil4t4Dy98uhH3Az8AZwBqLHRZM0MYmYiJiA3qLDo5ttCw8LD/JPXJrSWf7AU42BiIiIwxlj\nqHRVNhpst2vwXtP2MeU15YH7BsYAkcAxwAIMMBEqR1Ryruxc4N7Xi4iwiPYFGOGdG6w4MTAxxvDY\nTx9j6U+WtusMus7y9xwKDKRHc0qupTSnvnOuUMxTr3ZV1w+2O+MMe9PtZdVlPp0l9VdsRCxxkXHE\nR8UTFxlnfx0Z33hbRMv723re5s2beejJh0jZkkJBZAHP3f0cM2fMpKKmIii3GncNJVUllFSVBPzn\n2pJgBibREdFEhLV/CJf912x+u/a3TLx2Ill3ZAE6yy+NKTAQEZEulf3XbNbtW8fajWvrByfeuNyu\ngKTHNNxe464J+PcdFR7V5iC8tYG6L8+LjYwlzAoLWPuPHT/GioUrSElIoaCkgNwjuSRFJ5EUnRSw\n92yNMYZqd3XQgpJQCUxaSrFq6Xbi7RN8+tanmHRD+TXl3PfkfXz1/3wV60qLyisqfXo/neXvGVRj\n4CfLsszjjz9OZmamzl6KiHjxu9//jv/63X9xqdclLky5QNI7SXAGht4wlLSpaa0O3itdvg1c/BFu\nhbfvLLovA/wG2+Mi4zp0hldCkzGGGndN5wYbLt+PLa8ux9CO8ZsBPsNOBfsS8DowGBgBMZE6y+8E\nOTk55OTksGTJkoDWGCgw8JOKj0VEWmeMYc/pPWQfzOblj1/m892ftzg4wcu/OQur0QC71XSXCN8H\n6k3TZCLDInWmUxyjI4HJO2+8w8rslaTEpVBYXsjP/uVnLJi3QGf5HUbFxyIBpDx151LfhS63cbPj\nxA6yD2aTfTCb45eO1+9LjE6kwlSQsCGB8thyvjnpm2R+KbN5HnyDwXtMRIwGLiFEn73gsyyLyPBI\nIsMjSYxO9Ok5J3NO8uL/ebFRKlhKbEqAWypOo8BARET8VuOu4e1jb7PmwBpe+eQV8kry6vddlngZ\nc0fPJWtsFu+se4fRc0Y3GpzMHTM3iC0X6Rkee/QxwA7sfKntkZ5JqUR+UiqRiPRUVa4q3jzyJmsO\nrGHdoXWcLztfv29w8mCyxmSRNTaLyQMmB7QoVkSkJzDGEBYWplQiEREJDRU1FWw9vJXsg9lsOLSB\nworC+n2Xp1xeHwxcl3Gd0n9ERDrRyy9vCfh7KDCQHk25ss6lvus6pVWl/O2zv5F9MJuNn25sND3j\nFX2vIGtMFvPGzuPKtCt9DgbUf86lvnM29Z8zuN1w+DDs2QPPP7+KHTtWU14+LuDvq8BARESaKaos\nYuOnG8k+mM3fcv/WaFXda9KvYd7YeWSNyWJUn1FBbKWIiPMZA0eP2kFA3W3vXrh0qe6I+UAqsC3g\nbVGNgZ9UYyAi3UVBeQEbDm0g+2A2Ww9vpcpVVb9vUv9JzBs7j7lj5jKs97AgtlJExLmMgVOnGgcB\ne/bAhQvNj01Ph4kTYcIEqKjYzFNPbaGk5EmtYxDKFBiIiJOdLT3Luk/WkX0wmzeOvFG/ArCFxRcG\nfYF5Y+dx1+i7GJg8MMgtFRFxnjNn7IH/7t2eIODMmebH9enjCQLqbpdd5tm/dOlzXH75QO6+e6aK\nj0UCRbmWzqW+67hTRad45ZNXyD6YzbZj23AbN2Cv/nvL0FuYN3Yec0bPIT0hPWBtUP85kzGGh+bP\n55kXX1RxuUPpsxc458/bKUANrwScPNn8uF69GgcAEybAoEHQ6CNVVQUnzkB+PuTl8ViqYfPLKwL+\nPSgwEBHpAY4WHmXtwbWsObCGHSd31G+PDItkxogZZI3J4s5Rd9Inrk/A22KM4aVnn2XatGkaXAaC\n2w01NeByeb/vwDFb3n6bC9nZbB09mulf+QqkpdmjnDBNRys9S2EhvPeeJwDYvduuE2gqIQGuu672\nasB1hutHFzEkOg/rjD3g53g+vJtXHwDU3zfILVoFrAYCX3qsVCK/KZVIRELVpxc+JfuAvfrw3ry9\n9dtjImLqg4Evj/wyvWJ6dWm7Nq9Zw5YHH2TGihVMz+rAQksBHPh2i2MC8D+p4cDkZ8CPgf3APcC9\nERF2HkRaWvNb377Nt8XHNzk1KhLaioth377GVwJycz37w6mhH2cYEp3PDcPyuPayfMb0ymNQVD69\nKvKx8hsM+CsqfHvTsDDo1w8yMjD9+rG5ooJte/fyi6Ii1RiEMgUGIhIqjDEcOHeANQfWkH0wmw/P\nfli/Lz4ynlkjZ5E1JovbL7+dhKiEQDYECgrg9Gn7H2Ht/arXXmP1nj2Mq67mZxUV/Dgqiv2WxT29\nenFvYmJQB77dTkSEfQsPb/m+nftMWBibz55l28cfs7S8nMeiopiWksL0sjKsoqL2tS0mxvcgom9f\niI4OzM9IpAVlZbB/P+zZbfhoZwknduVRejifdPJIJ5+M2vv+Vh5DYuztCRXnsXz9u5SQYFcVZ2R4\nv+/Tx/781ao7ofJkcbECg1CmwMDZlGvpXOo7mzGGffn76q8MHLpwqH5fcnQyd4y6g6wxWUwfPp3Y\nyFj/3sztti9vNxjs1983/bqqqtnTDbAZe8K96cAWYFrt1+3+L9cJg91OPyZU3iNAaT11A5OTKSn0\nLyhgZt0Vn8pKO7n67NnGt3Pnmm87exbKy9t+s4aSknwPJFJTGw2mpLke/7fT5bJ/D/PzqT6ex8m9\n+Zx9P4+Sz/Jxn84j7lI+/WoDgHjKfHtNy7J//5oO7lsa8Cd07KTMc0uXMmjkSGbMm6fi465kWdZR\nYFALuzYZY77cxc0REWnGbdzsOrWrPhg4Unikfl9qbCqzR81m3th53DLsFqLCo3x4Qbc9sGs62G86\n6M/Ph+pq3xqZnGz/I7zssvp7KyMD6/hxKp59lqeTkuhfVIT1H/+BNWNG+wbEymcPihO5ucxYsYKo\nlBSqCgo4UZdLER0N/fvbN1+UlvoeRJw7B0VF9u2zz9p+bcuygwNfgoi0NPv3VGlN3UNpaeMc/Sb3\nJi+fmpN5hBecI6x2woVIYGjtrSXVkbG40jKIGpRB2GVezu737Wv/bQqgbz72WEBfv46uGDRhWVYq\n0PB0w2XAXmCBMeaFFo7XFQMRCTiX28U7J94h+0A2az9Zy8kiz1QX/eL7cdfou5g3dh7Thkwj3ADl\nCAAAIABJREFUIqz2H5TLZQ+s2jrDn59vp+n4ondv+59hk0F/o/uMDIiLa/HpdWe9bps7l61r13Ii\nN5dv/OhH/v54pLsyxq7y9DWQKChoX6pZZGTrKUwtbYuPD9z3Ks253XZftzLYJz/f83VJSduvV+ss\nfckjg3zSKU9OJ2JABkkj0+k3PoPBk9KJGVo74E9MDLnA0bIspRIFk2VZ/x/wQyDDGFPZwn4FBiIS\nEDXuGnKO5pB9IJtXPnmFM6X25NdhbhgflsE9vadxe8J4xlQlE3bmTPNB/5kzdnDgi5SUxgP7lgb9\n6ekQ62c6kkgg1dTY6W6+BhLFxe17/bg439Oa+vSBKB+u2PVE5eVez+7X35896/PfMFdkNIWxGZw2\nGXxels5Jlz3wrwsA8sggdkg6Q65P45rrI5kwAa65xs5UcxIFBkFk2fPoHQY2GmO+18oxCgwcrMfn\nWjpYt+y7mhoqTx1nz96/snfvRo4e3E5yQRkZxXBZMQwuj2JwWSSJheVYbrdvr9mnT/Oz+U0H/enp\ndkFoF+qW/ddDdKu+q6hoHjS0FkScPWvXU7RHr16+pzWlpHRJmlzA+q+uBsmXs/vtKVhPTa1P2zHp\n6VyKzeBoRToHLmaw52Q623Iz+Kw0nUsk07BaafBge32AukXDrr3WvuDpdIEODFRj4N2twBDguSC3\nQ0ScrLraPnvfSg6/+/Qpqk4eI+pCIdEGbsC+NVdVe8MeXHhL5ak7w68zliKti4mBgQPtW1uMsdNV\nfL0acf68nQZVWAifftr264eFtTzta2uBRAfSXDq0hkhFReNBfWv3Z874npIYFdXmzDymXzonq/ux\ne3+UZ5rQV+HixeYv178/ZDZYLOy66+wfm7Sfrhh4YVnWy8BAY8xkL8foioFIT1VV5fmn6K1w99w5\nn/Ke3cDZeCjsHUP4gIH0GXYVvYaNxbrsssaD/n79NOAXCXVutz2K9TWQaGnE601UlO9BRN++EBvr\nWUPk979n+k03+XZ2v7DQ9zb17u3bVJy9ezcLavLyGq8TsGeP/WNpqm9fz1WAiRPtICAjo30/OidT\nKlETlmXNw57hbjz2WisJwIvGmPu8PGcA8FNgBpAC5AHrgCXGmBZ/4y3LSgNOAI8YY5738toKDES6\nm8pK+59ia4P9uvvz5317vdqFamrS08hPgAORhew2Jzke7yIvAU4nQtqIq5l2/VeYe9VXuDz18sB+\nfyISeqqrm0/76m22pnYU264CVlsW48LD+VlNTeMF6tp6ckREy4P7ptv69fM5JfHcOdi717Ni8J49\n9p/VplJSPFcB6m4DBoRcPXCXUipRcz8GrgaKgZPAaOzpsVtkWdZwYDvQFzsY+ASYBDwKzLAs6wZj\nTEELT10AVAAvdWbjJbR0q1zZHsQYw0Pz5/PMiy/6fjkc7EviTWfkaekMf4Ol6L0KD7f/GbaWypOR\nwYVe0ay/sJ01uet4/fPXqXZ7pvucOnAqWWOymDtmLkN6DWnfD8Hh9NlzLvVdgERGev5++KKszOf6\niPlnz5JaXc22mhrewr46+Z24OKYPGOBJO2zt7L6ftQ8XL3qCgLrbsWPNj0tKss/+NwwChg7t2UFA\nMDgxMPg+cMIYc9iyrGnAm20c/z/YQcF3jTFP1220LOsJ4AfAz4GHGz6htuj4G8BqY4yPq1uISFfZ\nkp3NhXXr2Lp2rb3AUt0MF22d4ff1Un3DM2ReBv307dviYkr5Jfm8cvAVsj9+kpyjObiMPatGmBVG\n5pBMssZkcdfou+if5OO87yIiTcXF2RW2gwe3eahlDNYf/0jFt7/N08nJ9C8uxlqxAisrq1ObVFQE\n+/Z5AoDdu+Hw4ebHxcfbxcANg4ARI7RESShwXCpRQ5ZlZQJvAKuMMfe3sH84kAscMcYMb7IvAcjH\nvtrQr2EAYFnWTcDrwCRjzJ422qBUIpEusuqZZ1j9y18y7tIlfnbxIj+OjGS/y8U9bnfbl8PBPiOX\nnt560W7dfZ8+7f4PdeLSCdYeXEv2wWz+cfwfmNoLmRFhEdw89GayxmQxZ/Qc0uLT2v+Ni4j4qbPX\nECkraxwE7NkDhw41L6eKiYHx4xsHAaNHa4HqjlIqkX9uqr3f2nSHMabEsqx3sGcemowdYNTte5PG\ni5yJSLC4XPD225Cdzfy1a0k9fZpt2JPSuaur+Q4wPTLSHtS3NQ9/J08H+PnFz+tXH3731Lv126PC\no7ht+G3MGzOPO0bdQUpsSqe9p4hIRzRcOXd6O68UVFTABx80DgI+/tiur24oMhKuvtpTHDxhAowd\na28XZ+jugcGo2vvW5gnLxQ4MLqdBYCA9h3JlQ1RVFbzxBqxdC+vW2Xmz2MGAlZpKRVERd/fqRf+y\nMqz//m+sr32tyxJRPzn/SX0wsC9/X/322IhYZl4+k3lj5jFr5CySoh22ak4X02fPudR3ztZW/1VV\n2YP+hoXBH37YfCbS8HAYN67xlYCrroLo6MC2XwKruwcGybX3l1rZX7e9lz9vsmDBAoYMGWK/UK9e\njB8/vv5Dl5OTA6DHIfr4/fffD6n29OjH5eXkPPEEbNtG5u7dUFiIvRcyR4yArCxyhgzh9b17mTFj\nBlEpKezeto3Xt29n+oIFAWufMYbUsalkH8jmD+v/wLHCYzDUblfMyRimDpjKI3c/wowRM9i9fTdc\noD4oCKmfrx7rcSc9rhMq7dFj3x8bY3juudVMmzaNt956C5cL0tIy2bMH1q/P4dAhOHIks3YdN/v5\nkIllweDBOYwaBXfckcmECXDpUg7R0Y1ff8eO0Pp+u8Pjuq+PHj1KV+juNQbPYhcRf8MY8/sW9v8c\neAx4zBjzyw62QTUGIh1VXAybNkF2tn1fWurZd+WVkJVl3668skunpjDGsDdvL2sOrCH7YDafFXxW\nv69XTC9mj5pN1pgsbh1+KzERXbtisIhIW2pq7PSf8nL7vu7rV1/dzE9/uoVbbplBYeF09u2zawWa\nGjmy8ZWAa66BhISu/z6kOdUY+KfuikByK/vrtrdj9Q4R8cvFi7Bhg50mtGULtaembBMm2IHA3Ln2\nf6Yu5DZudp7cyZoDa1h7cC3HLnnm0+sT14e7Rt9F1pgsbhp6E1HhUV3aNhFxHre75cF5S1/7epyv\nX7tcTVuzCliNvfzTr3j11R8DTwH3MHTovfUBwMSJ9mxBya2NmqTb6+6BwSe196Na2V+3ipAPa5VL\nd5STk1N/2U4C6MwZWL/evjLwxhueZFXLgi98wQ4E5s71adq9Op3RdzXuGt4+9jbZB7N55ZNXOF18\nun5fRkIGc8fMJWtMFjcOvpGIsO7+57Jr6bPnTMYY5s9/iBdffKZ9a4gEiTH2uYfOHnj78nV1ddvt\nC5SwMIiNtWcEsm/zqapKJT9/G9XVb5Gc7Oa73/0Ojz46nT59gtdOCT3d/T9d3RoHt1pNcn4sy0oE\nbgBKgZ3+vMnixYvJzMzUPzmRhk6etK8KZGfDP/7hmb4iPBxuucW+MjBnTpevZV/tquaNI2+QfTCb\ndZ+s41zZufp9g5IHkTUmi6wxWUwZOIUwK6xL2yYS6rKzt7Bu3QXWrt1KVtZ0n55jjD1I7spBecMz\n8cHUcHDelV83nwXIYs0aiwcfrOCyy56moKA/48db9OkT+sGd2HJycprV+QRCt64xqD1mM3Ab8D1j\nzH832P4r7MXSnjHGPOJHG1RjIFLn8GE7EMjOhl27PNujouDWW+1g4M47ITW1S5tVUVPBa4dfI/tg\nNhsObeBihWehsxEpI+qDgQmXTXDEWVCRQCsvtycDq7v9+c+r+NvfVlNVNY6LF39GYuKPgf0MGXIP\n/frd2+YAvem0ll0pOrpzBtvtfU5UVGit2rt06XOMHDmIuXNvY+3areTmnuBHP/pGsJsl7RToGgPH\nBQaWZc0B5tQ+TMce9H8O/KN22zljzKIGxw8DtgNpwHrs9KJJQCZwCJhqjPFxOdQW26PAQHouY+DA\nATsQWLsW9u/37IuLg5kz7WBg1ix7vfsuVFZdxt9y/0b2wWw2frqR4qri+n1j+44la0wW88bO46q0\nqxQMSLdXWtp4oF93O3u25e0lJU1fwQCbgW3AUux5O6YB07EnEvYuMrLjA2x/vo6O1mq60r2o+Li5\nccD9QN1o3GBPHjis9vFRoD4wMMZ8blnWBOCnwAzgduA08CSwxBjT2lSm0gMoz7kDjIH33vOkCR06\n5NmXlAR33GHXC8yYYQcHAdJS3xVVFvHqp6+SfTCbTbmbKK8pr983Pn0888bMI2tsFqP7jA5Yu8Q3\n+ux1nDH2wN3XQf65cy3PPONNZCT07QtpafZ9374WhYUWf/97BXFxd1Ne3p9HHrGYNs3yaXAe4cTR\nRjelz55447iPqjFmCbCknc85CTwYmBaJ9ABuN+zc6bky0HA+5dRUmD3bvjJwyy1dsrqNMYZnVz7L\ntGnTKKwoZMOhDWQfzGbL4S1Uuarqj7u+//XMGzOPuWPmMjxleMDbJdIRxkBRke8D/bNnG0/m5Yvo\n6KYD/ca3ptuTkpqnwSxdeoIHH5xBSkoUBQVV5Oae4M47O+/nICLB57hUolBjWZZ5/PHHVXws3U9N\nDWzbZgcDr7wCeXmefRkZcNdddjDwxS92+enAlS+v5OHfPszISSM5kHyAGrc9y5GFxQ2DbqgPBgYm\nD+zSdomAPdAvLPT9bP65c/Zqs+0RG9u+gX5CQmjlu4tI+9QVHy9ZskQ1BqFMNQbSrVRWwt//bl8V\nWL8ezp/37Bs82LPGwJQpQUnc/fl//5wnnnuCi8kX4WbsqQfyYVTmKB795qPMGT2HjMSuneVIuj+3\n215+w9ez+efPe2bk9VV8fOuD+pa2x8cH5nsVkdCmGgORAFKuJXby8ZYt9pWBv/7VzmmoM3KkZ/Xh\na68N2inHXad2sXz7ctZcWIO5ysAx4Cj0junN8p8v54F5D6iA2GGC+dlzuaCgwPeB/oULLS0Y5V1i\nYvsG+rGxgfleA0F/N51N/SfeKDAQ6YmKiuDVV+1g4G9/a1yZePXVnmBg7NigBQNu42ZT7iaWbV/G\ntmPbAIgMi2TqkKnsObGHPp/2oSCygOSYZAUFPVxNjT1492WQf+6cHRS0d/rM5GTfB/p9+thFtyIi\nTqNUIj8plUgc48IF2LDBDgZee61xUvP119spQllZMGJE8NoIVNZUsuqDVTyx4wkOnj8IQFJ0Eg9d\n9xDfm/Q9/rjij4wcNpK5X57L2o1ryT2Sy4++96OgtlnaxxjDY48tY+nSRS0GddXVdjqOrwP9ixft\nvP726N27fQP9qKhO+uZFRPygdQxCnIqPJaTl59uFw2vXwptvevIhLAtuvNEOBubOhYHBL9K9WH6R\nZ/Y8w293/Zb8knwABiQN4PuTvs83r/smSdFduw6CBEZ5OTz++GZ++9stzJo1g9TU6c0G+oWF7XtN\ny4KUFN8H+qmpLa0MKyISulR87BC6YuBs3TLX8vhxzxoD77zjOZUaEQE33WRfFZgzB/r1C247ax0r\nPMavd/6a/33vfymtLgXg6n5Xs2jqIv7pin8iMrzlEVy37Ltuyhh49134t39bxTvvrMbtHgd8CXgd\n2A/cA9xbf3xYmD149zbLTsNtKSmaJ78r6bPnbOo/Z1PxsYi0LTfXDgSys2HPHs/26Gi47TY7GLjj\nDnsEFSLey3uP5duX85eP/4LL2Fcybh12KwunLuTWYbeqbqAbOHUKXngBVq6sWwdvPpBKZOQ2qqst\nkpPd3H33d7jttun1g/y0NDvNJzw8uG0XEemJdMXAT7piIEFhDHz0kWfBsQ8/9OyLi4NZs+wUoVmz\n7OlRQoQxhi2Ht7Bs+zLeOPIGAOFWOPdceQ8Lpy5kfPr4ILdQ/FVRYc90u3IlbN3qKfLt1w/uuw8y\nMjazePEWBg60OHHCzYoVM8nKmh7UNouIOIWuGIiIzRj7akBdmlBurmdfcrJ9RSArC6ZPD7m5D6tc\nVbz04Uss37Gcj85+BEBCVAL/cu2/8OjkRxmUPCjILRR/GAO7d9vBwEsveWoEIiPtdfAWLIAZM+x0\nn6VLT7BixQzmzr2NtWu3kpt7IphNFxGRBnTFwE+6YuBsIZ9r6XLBjh2eKwPHj3v29elj1wpkZcHN\nN4fktCmXKi7x7N5n+c27v+FU8SkAMhIyeHTSo3xrwrfoFdOrw68d8n3XA+TlwapVdkBw4IBn+7XX\n2sHAV79q1wq0RP3nXOo7Z1P/OZuuGDjA4sWLNSuRdJ7qanjrLTsYWLfOnlmozmWXeWYSuvHGkK24\nPHHpBL959zc8u/dZiquKAbii7xUsnLqQr171VaLCQy+IEd9UVtrr4K1cCZs3eya66tsX7r3XDgiu\nvjqYLRQR6X7qZiUKNF0x8JOuGEinqKy01xbIzrbXGigo8OwbMsSz4NikSfaULSHqgzMfsHz7cl76\n6CVq3DUA3DTkJhZOXcjMETNVUOxQxsB778GKFfCnP9nrBoAdl95xhx0MzJypKUBFRAJNVwxEuqvS\nUnvV4bVrYeNGKC727Bs92hMMjB8ftNWHfWGM4e9H/s6y7cvYengrAGFWGP90xT+xcOpCJlw2Icgt\nlI46c8aTKvTRR57t48bBAw/YqUJ9+wateSIi0skUGEiP1uW5lpcu2UFAdradh1Fe7tk3frwdCMyd\nC2PHdl2bOqjaVc1fPv4Ly3cs5/389wGIi4zjG9d8g+9P/j5Dew8N6PsrTzYwqqrsX9GVK2HTJk+q\nUJ8+MH++fXVgfCdMHqX+cy71nbOp/8QbBQYigXb+vD1/Y3Y2vP66XUNQZ/JkT83A8OHBa2M7FFcW\n87/v/S9Pvvskxy/ZxdD94vvx3eu/y8MTHyYlNnTWShDf7dtnBwMvvggXLtjbwsPhzjvtYGDWrJCs\nbxcRkU6kGgM/qcZAWnT6NLzyip0m9NZbntOuYWF20XBWlj2P44ABwW1nO5wuPs1v3/0tz+x5hkuV\nlwAYlTqKhVMXcu/V9xITERPkFkp7nTtnBwIrV8L+/Z7tV15ppwrNnx8yC2SLiAiqMRBxjqNHPWsM\n7NhhV2yCXaE5fbodDMyebS/t6iAfn/2YJ3Y8waoPVlHttq923DjoRhZNXcSskbMIs0K3GFqaq662\nU4RWrrRThmrsGnFSUuyagQcegGuuCemyFhERCRAFBp1A05U6l9+5locO2YFAdrY9bUud6Gh7Rae5\nc+1pW3r39rutXckYw1vH3mLZ9mVsyt0EgIVF1pgsFk1dxKQBk4LcQuXJttcHH9izCr34on2lAOxU\noVmz7GDgy1+2f227ivrPudR3zqb+c6aumq5UgUEnWLx4cbCbIF3FGHuEVRcMNFzVKT7eHmVlZcHt\nt0NCQvDa2UE17hqyD2SzfMdy9pzeA0BsRCwPjH+AH0z5ASNSRgS5hdIe58/bKxGvWGHXENQZO9aT\nKpSREbz2iYiIb+pOQC9ZsiSg76MaAz+pxqAHMAZ27fKsPnz4sGdfr152dWZWFtx6K8TGBq+dfiit\nKuX3+37Pr3f+miOFRwDoE9eH70z8Dt++/tv0iesT5BaKr6qr7QmvVq60FyKrq3Xv1ctOFVqwACZM\nUKqQiIgTqcZAJBhcLnjnHU8wcPKkZ1/fvnbhcFYWZGY6eqqWMyVneGrXU/zP7v/hYoW9atWIlBH8\ncMoPuX/c/cRFxgW5heKrjz6yg4FVq+z1B8CudZ850w4G7rwTYlQfLiIiXigwkB7LGMND8+fzzIsv\n2ivyVlfDm2/awcC6dXD2rOfg/v3teoGsLPjCF+zkbAc7dP4QT+x4gj/u/yOVrkoAJg+YzKKpi5g9\najbhYaH//SlP1l4g+6WX7IBgzx7P9tGj7WDgvvvgssuC1Trv1H/Opb5zNvWfeKPAQHqsLdnZXFi3\njq2PPcb0vDzYsAEKCz0HDBvmWX144kT79KuDGWN458Q7LNu+jA2HNgB2QfHsUbNZNHURNwy6Icgt\nFF/U1MDWrXYwsH69vSAZQHIy3HOPXTtw/fVKFRIRkfZTjYGfVGPQRYyxR0CVlVBR0fy+pW2tHLNq\n1y5W79vHuKoqflZayo+B/cA9wL1jx3qCgauv7hajK5fbxbpP1rF8x3J2ntwJQHR4NF8b9zX+dcq/\nMqrPqCC3UHxx4AD84Q/wwguQl2dvsyy7tOWBB+yZcB1a4iIiIj5SjYEElzF2io0vA+8ODNLbdUwn\nmQ+kAtsAC3BHRvKdrCym/+QnMGZMp71PsJVVl/GH9//Ar3b+is8KPgMgJTaFRyY8wneu/w79ErRy\nVai7eBFWr7avDuza5dl++eV2MHDffY5aI09EREKcAoNOYIyxc9Q790XtnIGODqo7c5AeKldEIiPt\nidZjYuxb3ddt3TfZZsXEYB04QMWLL3J3Sgr9i4ux5s3D6iZBwbnSczy9+2me3v0058vOAzC011D+\ndcq/8sD4B4iPig9yCztHd82TdbngtdfsYGDdOk9MnJhopwotWABTpjj/YlZ37b+eQH3nbOo/8UaB\nQSe4b9IkvvGFL5A5ZEjnDtJDZUAeEeHTgLs9g/MOHduJOf4nli5lxqpVRKWkUFVQwInc3E577WD5\nrOAzfrXjV6x4fwUVNRUATLhsAoumLmLumLlEhOnjHsoOHbKDgT/+EU6ftrdZFnzpS3YwcNddEKdJ\nokREeqSuWuBMNQZ+sizL/DsNctQ788UjIrpmwO3tmOhox8/A093tPLmTZduX8crBVzDYn+dZl89i\n0dRFfHHwFzv/apZ0mkuX4M9/tgOCHTs824cPt4OB+++HQYOC1ToREQk1qjFwAHdcHN+ZMoXpY8a0\nPgDvyABeA3Jphdu42fjpRpZtX8Y/jv8DgKjwKO696l5+OPWHjO07NsgtlNa4XPDGG/ZqxK+8Yl8c\nBHuh7K98xa4duOEG56cKiYiI8ygw6ATl4eFYDz+MlZUV7KZIOzkt17KipoIX9r/AEzue4NCFQwAk\nRyfz8ISH+d6k75GRmBHkFnYdp/Vdbq49q9Af/tB4vbybbrKDgblzIb57lH/4xGn9Jx7qO2dT/4k3\nCgw6wcwVK7pFjrqEroLyAv5n9//w1K6nOFtqL7w2KHkQP5j8A75+zddJjE4McgulJUVF8PLL9tWB\nd97xbB861JMqNGRIsFonIiLSmGoM/KR1DCSQjlw8wq93/prn9z1PWXUZAOPTx7No6iLuHns3keGR\nQW6hNOV22wtor1xpL6JdXm5vj4+Hu++2A4Ibb3T8enkiIhIEqjEQ6YH2nN7Dsu3LWHNgDW7jBmD6\n8OksmrqIm4ferILiEHT4sCdV6Phxz/Zp0+xgYN48u45ARESkI7riRLTOWUmP1hVTf/nKbdxsyt3E\nTX+4iYnPTeQvH/+FMCuM+8fdz/6H9rP53s3cMuwWBQW1QqHviovtNKFp02DECPiP/7CDgsGD4Sc/\nsYOFnBw7MFBQ0Fgo9J90jPrO2dR/zvXnjRsD/h66YiASZJU1lfzpwz+xfMdyDpw7AEBiVCLfuu5b\nPDr5UQYkaWnbUOJ2w7ZtdqrQmjVQWmpvj421rwo88IAdKChVSEREfOUyhrzKSk40vFVUcKKykr1r\n13Jy82Zcw4YFvB2qMfCTagykoworCnlmzzP89t3fkleSB0D/xP58f/L3+ea13yQ5JjnILZSGjhzx\npAodPerZ/oUv2MHAvHmQlBS05omISIgyxnC2urp+oN904H+ispLTlZW4Wn8B2LULPvgA/vQn1RiI\ndCfHLx3nyZ1P8tx7z1FSVQLAVWlXsXDqQu658h6iwqOC3EKpU1pqXxVYudJOCaozcCB87Wv2bcSI\nYLVORESCzRhDYU0NJyorOd7KwP9kZSVVPpxETouMZGB0NANjYuz7ultMDB8WFvJv+/ZRHODvR4FB\nJ1i8eDGZmZmaF9iBunI+5/fz32fZ9mX8+aM/4zL2eYFbht7CoqmLuG34baodaKdA9Z0x8PbbdjDw\n8stQYsduxMRAVpZdL3DzzUoV8pfmUncu9Z2zqf/ap6R20N/SWf66x6Vud5uv0zsiotFAv+nAf0B0\nNNFe/rGszMlhRlgYL3fmN9cCBQadYPHixcFugoQoYwyvff4ay7Yv4/XPXwcg3Arnn6/8ZxZOXci1\nGdcGuYXOZIzh2RdeYNq0aZ0WUB07Bn/8ox0QfP65Z/vUqXYw8JWvQLKyu0REuo0Kl4uTreT1190K\na2rafJ2E8PBmA/2GjwdER5MQ4d+Q+7nf/AYA66WX/HqdtqjGwE+qMZCWVLuqWf3RapbvWM4HZz4A\nID4ynm9e+02+P/n7DO41OMgtdLY1Gzfy4KpVrLjvPrJmzerw65SVwdq19sxCb7zh2d6/v7342Ne+\nBqNGdUKDRUSkS9W43Zyuqmo02D/eZOB/rrq6zdeJtiwGtHKWv+7rXhERXXbVP9DrGCgw8JMCA2mo\nqLKI5/Y+x5PvPsnJopMApCek8+ikR/nWdd+id2zvILfQuardbhY/9xy//9OfKB0yhOIFC4hfuZKI\nzz9n3B13MHHuXBLCw4kPD2/5PiyMhPBw4sLC+XhPOKv/GM7Lqy2KaxM2o6PhrrvsQuJbboHw8OB+\nvyIi0jK3MZypG/S3kt6TV1VFWwk+4UB/L+k9A6Oj6RsZGVKpvgoMQpxlWcbtdofUL434rrNyLU8V\nneI37/6G3+39HUWVRQCM6TOGhVMXMv+q+URHRPv9Hj2JMYYTlZW8W1TEzqIi3i0qYm9JCRUul2dm\nhokTYfduGDfO/rojn8GKMCJqwkmOCictKZykyDCfgou29keoAKFNynN2LvWds4V6/xljuFBd7TW9\n51RlJdVtjF8tID0qymtef3pUFOEOG79p5WMH+L/P/V/unHUnqbGppMSmkByTTJilgUFP8OGZD1m+\nYzl/+vBP1LjtPMRpg6exaOoiZl4+U78HPiquqWFPcbEnECguJr+qqtlxl8fFkd6rF7uqq0l+9VWK\ne/fm6/37M2bkSEpdLkpcLs+9282lKhdH8lycOO/iUqULYlwQ68KKc2Fi3BDjpgY3F6hNnt8XAAAg\nAElEQVTmQgVQ0TnfT7Rl+R1cNN2eEB5OlAIOCbJA1PdIz1JUV8zrZerOch+KeVMjIrym9/SPjtbf\nzA7QFQM/WZZluBHIB64ExkGYFUbvmN6kxtmBQl3AUH/fdHvt48SoRP2hdQBjDG8efZNl25ex+bPN\ngN3n88bOY+GUhUzsPzHILQxtLmM4UFraKAg4UFra7JJv74gIJiUlMSkxkclJSVyflERKZCRLn36a\nkUOGMPf221m7aRO5x47xo0ceqX+eMbBzp11EvHo1FNkXcIiKgjlz7ELiW2+FsHBDudtdH0g0Cioa\nBBctbm9jf9v/0jomwrL8Di5aOiYmLKxL//YYY3jsP/+Tpf/+7/qb5zCdVd8j3VO5y+U1vedEZSVF\nrlZn66+XVFfM28rAf0B0NHE9NN9TqUQhzrIsE5MZQ8aVGbiHu7lYcbE+laS9IsIivAcQtfdN98VF\nxumfaxeocdfw8scvs3zHct7Lew+AuMg4Hhz/ID+Y8gOG9Q78ioROlFebEvRucTE7i4rYU1xMSZN/\nDBGWxfiEhPogYFJSEiNiY9v1e33qFLzwgh0QHDrk2T5xoh0M3HMPpKR0zvfkjTGGytqAwZ/goun+\nEpeLmgD9vQ6Ddl/Z8OWY2LAwwlrow2AMLo0xuIzBhZ2f7DIGNzS6b7StlWNbel7dsd6e58t7eHue\nL+/h7Xm+vIe3553ZtIlzW7Zghg+n6oEHiFqxgrDDh+k/YwaD7riDKMsiMiyMKMsiKiyMSMuq/9rb\nvsgGx3jbF9nKazXc19LvmnSeKrebU21M23nBhxl8YsLCGBgdzSAvA/8kP2fw6c4UGIQ4y7JM4hcT\nWbFwBVl3ZAH2jDQXKy5SUF7AhbIL9n35hZYfN9heWl3aoTZEh0e3GDC0dZUiJiKmM38UjuRLrmVJ\nVQnPv/c8v975a45dOgZAWnwa373+uzw84WFS41K7oKXOUOZy8V5xcX0Q8G5REScqK5sdNyQmplEQ\ncE1CAjHtOPtjjGH+/Id4/vln2LDBYuVK2LoV6q4+9+sH991nBwRXXNE531soqGotiOhg8FH3dWUA\n/w/Eh4XVBwoVW7ZwcetWrOHDKbvmGmL37cM6fJj+M2eSdvvtAR0Yi58arrzaGfU9ARAOXRKAdGag\n09XBjDGG+d/4Bi/+7/82OvHiMob8qiqv6T35VVW09Zci0rI8xbyt5Panhlgxr9OoxsABVixcQe6R\n3PrHkeGRpMWnkRaf1q7XqayppKC8wOdAou5xRU0FeSV55JXktev9YiNi2wwkWtrWU1bmzSvO46ld\nT/H/9vw/CisKARiZOpIfTvkh9119H7GRsUFuYXC5jeHTsjLebVAb8EFJSbNBWGJ4ONcnJjIpKak+\nJahfVMd/h1wuWLp0C3/5ywXWr99KWdl0ACIjPbMKTZ8O3fGEU1RYGClhYaRERnbq69a43X5f2Wjp\nmPLa1y11uzlbXQ1f/KK9UtwHH4BlUe5ywezZ5E6cSG5Rx660tkc4EGZZhFsWYdD43rIIb/J102O9\nPa/uWG/v4e15vryHt+f58h7+fv9vXLjA4vfeI2nTJi716sWPhw3jC9dcQ7UxVLndVBnT6Osqt7vV\nfdVNj/Fhn7f3qaoLHN1uu1TIh3SVUNA0mAlUAFL3Wu///e+sOXyY0hUriJs8uX7gf7qqqs0rkmHA\nZVFRXvP6+0VF6cqNw+mKgZ9CYbrS8ury1gMJL4FFtbvt+XtbkhCV0DxgiGm9diI1NpXesb2JCHPG\nSO3guYMs376cVR+uosplF8DeMPAGFk1dxB2j7uixBcXnq6oaBQG7i4ubLfwSBlwVH2/XBtQGAqPj\n4vz+R1FeDq+/Dr/4xSrefXc1Ltc44GfAj4mJ2c/s2ffw9NP3kqqLNyHFZQxlTYKLv27axNLsbPpE\nRXG+spJF8+Zx0223BXxgrMGK/9qq7wmmulSxQAYg1U0CEV/ep8VAqcG2LvPaa/ZiLcOHw9e/Ds8/\nD4cP28u433orAH0jI72m92RERRGpYt6gUypRiAuFwKAjjDGUVpe2K5Cou5rhMh07E5McndyudKeU\n2BR6xfQiPCzwBUbGGN4+/jbLti9j46cbAbCwuGvMXSycspApA6cEvA2hpNLt5v2SErs2oDYQ+Lyi\n+ZQ9/aOiGgUB1yUmEt9JBWEXLsCrr8L69bB5s70YGRhgM+Hh23C5lpKe/hhPPTWNrKzpujTtEKE8\nuBTpSr4EMx0JQFoKRipdLj596y12/eMflH396yT//vfce9ttzL39dgbFxDAgOrpd6ZwSPEolkoCw\nLIuEqAQSohLatQqvMYaiyqJ2pztdLL/IpcpLXKq8xJHCI763E4teMb3aPcNTcnRymwNFYwxffeCr\n3LXwLpbvWM7u07sBiImIYcG4BfzrlH/l8tTLfW6rUxlj+Lyioj4IeLeoiH0lJc3OZsWFhTGhQUrQ\npKQk+kd37voMR4/agcD69bBtW+NsgGuvhTlzLOLiLJYsqSAl5W4KCvpjWZaCAgd57NvfBuz6Hs1q\n40yhPg++U1iWRYRlddlAbM1nn7G3uprBv/gFBcnJ3NS7Nzd3xYwM4igKDKRdLMsiOSaZ5JhkhvYe\n6vPz3MZNYUVhu9OdLlVe4mLFRS5WXGxXO8OtcHrH9vY6w9PON3eyevdqVv9yNYyA1NhUvj3x23z7\n+m+3uz7ESQqrq9lVmxJUN1vQ+SbLwlvA2Li4RlcDroiL6/SFu4yB/fth3Tr7tn+/Z19EBHzpSzB7\nNtx5JwwaZG9fuvQEK1bMICUlioKCKnJzT3Rqm0REuqPcY8dYcd99pMTFUVBWRu6xY8FukoQgpRL5\nyampRE5R467hYvnFdl+hKKkqaf1F9wMfAenAzRCRE0Gf4j78+0P/zne/+d0u+s66RrXbzYe1awbU\nBQGf2Dk5jaRFRjYKAiYkJpIcoOrdmhp4+207EFi/Hhr+b0pIgJkz7WDg9tuhd++ANEFERMSRVGMQ\n4hQYhKYqV5VnhqcWrlDsfms3O97ZQdm0MgbuGsivvvUrsu7IcnRKijGGE3VrBtQGAXuLi5utIBlt\nWVxbmxJUN2Xo4JiYgH7vJSX2dKLr1sHGjXCxwQWgfv3sQGDOHLjpJnvSGhEREWlONQYOsHjxYjIz\nM5VzGUKiwqNIT0gnPSG9xf1rytawa9suBm8ZTEFkgSPz1ItrathTlxJUe59XVdXsuMtjY+uDgElJ\nSYxLSOiSZeLPnIG//tW+KvDaa9BwOYNRo+xAYM4cuP566EhzlOfsbOo/51LfOZv6z5lycnLIyckJ\n+PsoMOgEixcvDnYTpJ1yj+SyYuEKUhJSKCgpaLQORShyGcOBupSg2iDg49JS3E2O6x0R0SgIuD4p\nidROnvPem9xcT73Ajh12DQHY6x9NmWJfGZg9G0aP7rImiYiIOF7dCeglS5YE9H3anUpkWdbXoc3F\n77z5mzGmfStxhTClEkkg5NWlBNUGAbuLiylpsmBPhGUxPiGhPgiYnJTEiNjYLr3y4XbDnj2eYODg\nQc++qCi7eHjOHLjjDkhv+eKNiIiI+Cjkagwsy2p6krI9DHCrMeYNP14jpCgwEH+Vu1zsLS6uDwLe\nLSrieMO8m1pDYmIaBQHXJCQEZd7pykp4803PtKJ5DcL85GT48pftYGD6dEhM7PLmiYiIdFuhWmPw\nn8Dr7XxOMvBKB99PJCC6OtfSbQy55eXsbLBmwAelpc2Wok8MD+f6ugLh2lu/qKgua2dTly7Bpk12\nILBpExQXe/YNHOgpHv7iF6GrMpeUJ+ts6j/nUt85m/pPvOloYHDAGJPTnidYltWng+8l4ljnq6oa\nXQnYVVxMYU1No2PCgHHx8Y2CgNFxcYQHuRj65EnYsMFOEcrJgYZLHVx9tScYuOYau4ZAREREnK0j\nqURfAj40xpxp5/MigExgrzGmfatVhTClEkmdSreb/SUlja4GHK6oaHZc/6ioRkHAdQkJJARozYD2\nMAY+/ti+KrBunV07UCcsDG680Q4EZs+Gob6vbSciIiKdJORqDKQxBQY9kzGGIxUVjYKAfSUlVDX5\nXYgLC2NCw5SgxEQGhNBE/S4XbN/uCQYOH/bsi4216wTmzIFZs6CPrvmJiIgEVajWGLTJsqxoIMkY\ncy5Q7yHiL19zLQurq9ldXOwJBIqLOd8wtwawgLFxcY2CgCvj44nogjUD2qO83F5XYP16e52Bcw0+\noX362DMIzZljzygUFxe8drZFebLOpv5zLvWds6n/xBu/AwPLsu4GJhtjfthg2/8FfgKEW5b1d2CO\nMabU3/cS6UzGGJ594QWmTZvWaIrPGrebD2vXDNhZGwR8UlbW7PlpkZGNgoCJSUkkh0BKUEsuXLBX\nHF63zl6BuOG3M3y4J0Vo6lQIwkRHIiIiEgL8TiWyLGsn8IkxZkHt4+uAXcBbwKfA14Glxpif+NfU\n0KRUIudas3EjD65axbJ77iF16tT6IGBvcTHl7saz8kZbFtfWpQQlJjI5KYnBMTEhvVrykSOeFKG3\n37bXHKgzYYInGLjiChUPi4iIOEHI1xhYlnUB+A9jzJO1j/8LeBAYYIypsCzrv4FbjDFj/G5tCFJg\n4Dy/W7mS/1y5kguDB1O6YAE8/7ydXH/zzXDrrQBcHhvbaAXhcQkJRIVYSlBTxsC+fZ5g4IMPPPsi\nIuCmm+xg4M47YcCA4LVTREREOsYJNQZxQFGDx7cBW40xddOx7MMOFESCyhjDxgsXeP7KKzk+c6Y9\nct6/H8sYxt17L3fOnMnk5GSuT0oitasm4/dTdTVs22YHAuvXw4kTnn2JiTBzph0MzJwJvXoFr52B\noDxZZ1P/OZf6ztnUf+JNZwQGp4GrACzLGlj79W8b7E8Bms/ZKNJF3Mbwyvnz/OzYMd4vKQEgMSKC\nqupqUjdtorh3b348ZAhZw4YFuaW+KS6GLVvsYODVV6Gw0LMvI8NOD5o9275CEB0dvHaKiIiIs3RG\nKtEvge8DzwKTgTHA0LrZiCzLegEYY4yZ4GdbQ5JSiUKXyxj+cvYsPz92jI9rq20zoqL4t4EDKVq/\nniuGDmXu7bezdtMmco8d40ePPBLkFrcuP9+eQWjdOvj736Gy0rNvzBj7qsCcOXbtQIhnPImIiEgH\nOaHGIB74H+BO4CLwQ2PMK7X7krGvKDxljPmRn20NSQoMQk+N282LZ8/yn8eO8Wl5OQADo6P50aBB\nPJieToxDpt05dMhTL7Bzp11DAHah8JQpnuLhkSOD204RERHpGiEdGFiWFQ70B0qNMRda2B8GJNXu\nr266PxRZlpUB/AKYCSQCnwMPG2O2tXK8AoMQUeV284f8fJYeP86R2hWHh8XE8NigQdyfnt5i8XAo\n5Vq63bBrlycY+OQTz77oaLsuevZse52Bfv2C185QEUp9J+2n/nMu9Z2zqf+cLdSLjyOAI8C/AU80\n3WmMcQOFTbeHKsuyegHvANuA24FzwDDgbDDbJd5VuFw8n5/PL48f50Rtjs3I2Fj+//buPL6q6tz/\n+OcJQgCZAsoQhgTUi2gVR6wiGLAClyqCVPRaELQWpSq21ioIQgigFG/VSxR+ToBCtYpU6WSd8KhY\nQNAiClpRSAjGMAkCQiKQ9ftjn0yQhCRn3Mn3/Xqd1+Hsvfbe6+Qx5jxnrWevCSkpXNe6ddwtMFZa\nQQEsXeolAn/5izdlqEhSElx+uZcM9O8PTZrErp8iIiJS+4VjKtEW4EHn3P+Fp0uxY2b3A72cc72q\ncYxGDGJk/+HDPJ6by4M5OXzzww8AnN64MRNTUri6dWvqxenN+Xfvhn/8w0sGXn0VgvXQAHTqVDJF\nqFcv8MnNkURERCQK4noqEYCZPQD0BS72y3ShipjZeuBVoAOQhlcf8ZRz7rFKjlFiEGV7Dx1idm4u\nf8jJYftB7z+5s5o0YWJKCkNOOIGEOEwIcnK8EYFXXoFAAA4dKtl31lleIjB4MHTvrsXGREREpHx+\nSAz+G5gJFAJPA18BB45s55xbGtKFosDM8gEHPAS8CJwNZALjKkoOlBhEz+6DB8n8+mse2bKFb4Of\nrM9v2pT7UlK4vFWrGq1CHKm5ls7Bp5+W1At8+GHJvnr1oHfvktuKpqaG/fJ1gubJ+pvi51+Knb8p\nfv4W7zUGAH8v9e9HKmjjAD/cCiYB+MA5NyH4+mMzOwW4Fahw1EAi69uDB3lkyxZmbdnCd4cPA9Cz\nWTPuS02lX1JSjRKCSDh8GN5/v2SxsY0bS/Y1bgwDBniJwE9/Cq1axa6fIiIiIuUJx4jBqKq0c87N\nD+lC3rV+BlwCnAV0B5oAf3TOjajkmA5ABjAAb7G1b4BXgCnOud1HtM3CW7V5dKltI4A5zrlySz81\nYhA52374gYdycngsN5d9wYSgT4sWTEpJ4ZIWLeIiIdi/H954w0sG/vY32LGjZN+JJ8KgQd4UoUsv\nhUaNYtdPERER8b+4HzEIxwf+apgInAnsBbYAp+KNRpTLzE4C/gWciJcMfA5cANwBDDCzns65b0sd\n8n7wnKX9F5AVpv5LFeQWFPBgTg6P5+ZyoLAQgP5JSdyXmkrP5s1j3Dvvw//f/uYlA6+/DgdKTZw7\n+eSSxcZ+/GNv2pCIiIiIH4R8H0czyzCzLuHoTBX8GjjFOdccGFOF9rPxkoLbnXNXOefudc5dCjwM\ndAWmH9H+YeDHZnavmZ1sZlcDt6NpRFGxOT+fW7/4gi4rVvDIli0cKCzkilatWHnOOfyze/eIJAWB\nQKBK7TZuhIcegksu8dYQuOEGb7rQgQPQowdMnw7r1sEXX8CDD0LPnkoKIq2qsZP4pPj5l2Lnb4qf\nVCYcNQYTgYlmtgyYD7zonNtX+SE145wLlHpZ6TBKcLTgMmBTOYXDk4GbgeFm9lvn3P7g+Veb2WDg\nfuA+IBuY6JybE6a3IOXYeOAAMzZvZn5eHgeD07KGnnACE1NSOKtp05j0yTn46KOSeoFPPinZV79+\nyWJjgwZB+/Yx6aKIiIhIWIWjxiAVuD746ALsB14G5jvn3gqxf5VdNw1YCix0zl1fzv6bgCeAx51z\nR40umNlreInDT0K5Y5JqDGrui/37uT87m4Vbt3IYb/jqmtatmZCSwunHHx/x6zvnGD/+QR544HeY\nGQcPwjvvlCQDW7aUtG3WDAYO9KYIDRgAcTCjSUREROoYP9QYZOEV92aY2cXASGAY8HMzywEW4CUJ\nX4Z6rWrqGnz+ooL9G/ASg1PwEgyJknXff8/07Gxe2LaNQrzbVY1s04Z7U1L4r8aNo9aPxYtfY/bs\nbzh48HXy8vrz97/Dd9+V7E9OLllfIC0NGjSIWtdEREREoi4cU4mKOeeWAcvMbCwwGLgRuBcYb2Yr\ngLl43/AXhPO6FSj6Tve7CvYXbW8R6oVGjRpFavBm9C1atOCss84qvkdw0Vw+vU5jzd693PHSS7z7\n3Xdw1lnUN+O/s7O5rk0bruvWLSr9eeONAHPnvsHSpR+zb1939u/vxEMPLcBbruJaUlM70LMn3HFH\nGueeC+++6x3foEHsf356XfZ16Xmy8dAfvVb86srrom3x0h+9rt7rom3x0h+9rvx10b+zsrKIhpCn\nEpV7UrOzgFHA/+AV/34JHAS64a0mPMw5968Qr5FG5VOJngBuAm5yzs0tZ/90YDww3jn3+xD6oalE\nx7Bqzx6mZmfz1507AUg046Z27bi7Uyc6NWwY0Wvv2wcrVsB773mPFSvgwAEH/BN4F+hPgwavce21\nlzBxYn9OOSX2t0CVqgkEAsX/AxX/Ufz8S7HzN8XP3+J+KlERM2sHDAdGAD8C9uGtHjzPOfd+sM0l\nwJPA/8O77WgkFY0IVDQbvGj77gr2S4je/+47pmZl8dquXQA0SkjgluRk7urYkeTExIhcc8cOWLas\nJBH46CNv4bHSTj3VaN/eeP/9fDp1+gvffFPIoEGmpMBn9IfN3xQ//1Ls/E3xk8qEnBiY2XV4hceX\n4k0Xfw+4AVhUdLefIs65d8xsBl5RcKR9HnzuWsH+U4LPFdUgSA045wjs3s3U7Gze3u3lXE3q1ePW\n5GTu7NiR1g0ahPV62dklScB778Fnn5XdX68enHce9OrlPS6+2Ft47IEHchgzZgBXXdWPP//5dTZs\nyAlrv0RERET8JhwjBgvxFhv7Pd7owFfHaL8OryA50t4OPl9mR8z3MbOmQE/ge2BFqBdKT08nLS2t\nTmfhzjle37WLqVlZvL9nDwDN69VjbIcO3NGhA63q1w/5GoWF3gf/0olAzhGf5xs29BYWK0oELrwQ\nmpSzZvX48b8EvCHVoUP7h9w3iT4Nh/ub4udfip2/KX7+FAgEytQdREo4EoP/Bl6v6kR759xKYGUY\nrnus62w0s9eBfsCtwKOldk8BGgP/zzl3oLzjqyM9PT3UU/iWc46/7dzJ1OxsVu3dC0DL447jNx06\ncFv79rQIISE4eBA+/LBkatCyZfDtt2XbtGjhjQIUJQLnnqu7B4mIiEjtUvQF9JQpUyJ6nWoXH5tZ\ngnOusEYXC+HY4PGD8e52BNAW70P/RmBZcNt259zvSrXvAvwLaA0swZtedAGQBvwHuMg5t6um/Qle\no04WHxc6x8s7djAtO5s1+7z17E6sX5+7OnZkTHIyTY+rfs75/fdecfC775YuFC7bpn37kiSgVy84\n/XRISAjHOxIRERGJb5EuPq5JYlAIDHfOPVfN404AthHCgmJmNhlv1eIjO130A8pyznU54pgOeOss\nDABa4d0V6WVginOuoluZVqdPdSoxOOwcL27bxvTsbNbt90pI2jVowN0dOzI6OZnG9epV+VylC4WX\nLfMKhQ8dKtuma9eyiUBqKphqhEVERKQO8s1diaog5E/PzrkpeNOAqnPMFrz1FCKmLtQYHCos5I/b\ntnF/djZfBL/G75iYyLhOnbixbVsaViEhOFahcEKCNxWodKFw69aReDclNNfSvxQ7f1P8/Eux8zfF\nz5/ivcZgoZktDGtPfKw21xj8UFjIM3l5PLB5M5vy8wHo3LAh4zt1YmTbtjSoYB5PdQuFL77YKxRu\n2jTS70hERETEX+K5xiA9hOs54Fnn3KYQzhFXautUovzDh3k6L4/fb95MToG3UPV/NWrEvSkpXNe6\nNfWPSAgOHvSmAhUlAe+/D8H1zIqpUFhERESk5uKuxkDKqm2Jwf7Dh3k8N5cHc3L45ocfADi9cWMm\npqRwdevW1AtO8C8qFC69ovD+/WXPpUJhERERkfBRYhDnaktisPfQIWbn5vKHnBy2HzwIwFlNmjAx\nJYUhJ5zArm/tqBWFa0OhsOZa+pdi52+Kn38pdv6m+PlbbSo+lji0++BBMr/+mke2bOHb4Cf985s2\n5ZbGKTT4qBVvPGVMeg/Wry97XCwKhUVEREQkcjRiECIzc5MnT/bdXYl2HjzII1u2kLllC98dPgzA\nSfub0emdVL78UxI5m8smow0bwgUXlF1RWIXCIiIiIpFXdFeiKVOmaCpRPPPbVKJtP/zAzOwc5nyd\ny368hOC4T1pwaG4KrGlB0ZIQLVpAz55lC4UTE2PYcREREZE6TjUGcc4PicH+/fC3FQU8nJvDB21y\nKawfXHz6gyRYkAqfNic5uWx9wI9+VDcKhTXX0r8UO39T/PxLsfM3xc/fVGMg1fbttyUrCr+5Np+P\nT9+MG/ANdAgmMO+3ouO7KfTr2Ixed3mJQOfO8V8oLCIiIiKRE5URAzN7HtgM/BN4zzl36BiH+EY8\njBjk5JRdSGzdOqDdAbhuM/TPg/pe/07++gRuPj6FERc2pU2bmHZZRERERKqpVkwlMrNbgO1AGtAT\nyAZeBhY65woj3oEIinZi4Bx8/nnZRCA7u1SDjvtJGJFNYd+tUA8SHFzVsjXpJ6dw+vHHR62fIiIi\nIhJekU4MojWLfJdzbrFz7nagB7AaaAX8LkrXj6j09HQCgUBEzn3oEKxaBQ89BEOGeLcEPe00uPlm\nWLjQSwqaN4deI77nzEXrSXj2Awov20q9ejCyTRs+u6AHi7qfpqSgApGKm0SeYudvip9/KXb+pvj5\nUyAQID09PeLXiVaNwclmdhPwnHNuv5l94ZxbZGbXROn6ERXOQO3fDytXlowGLF/urTJcWrt2JUXC\nJ164lxcbZPPnnTsAqG/GL9q2ZVynTnRp1Chs/RIRERGR2Ci6Lf6UKVMiep1oTSWqB0wDbgHygMXB\n1zc652ZHvAMRFOpUom+/hfffL0kEPvwQggsPFzvllLJ3DOrSBVbv3cPU7Gz+unMnAIlm3NSuHXd3\n6kSnhg1DeUsiIiIiEodqRY1B8cXMjgOOd859Z2ZtganOuV9GrQMRUN3EYMuWsvUBn35adn9CAnTv\nXnZF4bZtS/a//913TM3K4rVduwBolJDALcnJ3NWxI8laaEBERESk1qoViYGZTQN+AJY655ZF/IJR\nVFliUFQoXHTr0Pfeg6yssm0SE6FHj5JE4KKLoFmzI8/jCOzezdTsbN7evRuAJvXqcWtyMnd27Ejr\nBg0i8M7qBt3P2b8UO39T/PxLsfM3xc/fass6BhuBRUAzM7sW+Mg590WUrh1xzjnMjEOHYM0aLwF4\n910vIdixo2zbZs3Krih8/vkVryjsnOP1XbuYmpXF+3v2ANC8Xj3GdujAHR060Kp+/Qi/MxERERGp\nK2Ky8rGZDXHOvRz1C0eAmblrrvkn337bn+XLYd++svvbti1bH3DGGVCvXuXndM7xt507mZqdzaq9\newFoedxx/LpDB25v354WSghERERE6pxaMWJgZn8C2gHPACuB0/DWMagVXnhhGpAO3Moppww/qlC4\nqisKFzrHyzt2MC07mzXBDOPE+vX5bceO/Co5mabHaaFqERERkbomEAhE5Vaz0aoxGAasAG4CzgVe\ncM49G/ELR4GZuSZNxjF69CXcdVd/2rWrfhJ32Dle3LaN6dnZrNu/H4B2DRrwu44dGZ2czPHHGmKQ\nGtNcS/9S7PxN8fMvxc7fFD9/qxUjBnijBKc65yaZWUPnXH6UrhsVZge46CKrdjBnuVUAACAASURB\nVFJwsLCQ57Zt4/7sbL44cACAjomJjOvUiRvbtqWhEgIRERERiZJojRjcAKx1zn1oZmlAp9o0YvDS\nS/9kw4Ycxo27qUrH/FBYyDN5eTyweTOb8r0cqXPDhozv1ImRbdvSICFaC1KLiIiIiF/UltuVzgFa\nA6cDa4GdzrkxEb9wFFRnHYP8w4d5Oi+P32/eTE5BAQD/1agR96akcF3r1tRXQiAiIiIiFYh0YhCt\nT6J/c84NxSs6ngW8H6XrxoX9hw/zcE4OXVau5LYNG8gpKOC0xo15rls31vfowci2bZUUxEg0Cnkk\nMhQ7f1P8/Eux8zfFTyoTrRqDnma20jm3A1hmZk2jdN2Y2nvoELNzc/lDTg7bDx4EoPvxx3NfaipD\nTjiBhKrerkhEREREJMKiNZXoJGAx8BnwMZDsnBsb8QtHQXlTiXYfPEjm11/zyJYtfHvoEADnN23K\nfSkpXN6qFaaEQERERESqqVbUGACYWWPgKuBE4HnnXF5ULhxhpRODnQcP8siWLczasoU9hw8D0LNZ\nM+5LTaVfUpISAhERERGpMd/UGJjZUcXEZjbEzOoBOOf2O+cWOuceri1JQZG7Jk7kf/74R1JXrGBa\ndjZ7Dh+mT4sWLO3enffOPpv+LVsqKYhTmmvpX4qdvyl+/qXY+Zvi50+BQID09PSIX6fGiYGZnWpm\nPzezTsFNF5XT7D/A/WaWUtPr+MGs5s35U/v27Dt8mP5JSSw7+2yWnnUWfTRKICIiIiIhSktLi0pi\nUOOpRGbWG5gHdAZygP3AQ8Ay59xnpdolANOcc/eG3t34Y2aOn/+cJllZ3DZ8OA/cckusuyQiIiIi\ntVDcrnzsnHsXOMnMkoGLgd8DvwLmmNluYBnwHl7Bca0eMWh73HFkjhvH0J/+NNZdERERERGpkZBr\nDJxzuc65F/FGCs4GWgLDgXXAFcBM4LVQrxPPvj9wADPTtCEf0lxL/1Ls/E3x8y/Fzt8UP6lMONcx\nWATgnNsD/DP4qBPmXX89G7KzY90NEREREZEai/jtSs3sOGC4c25+RC8UI+WtYyAiIiIiEm6+uV3p\nkcwswcxG4t2Z6OlIXUdEREREREIX9sTAPP8DrMe7a1H7cF9DJFw019K/FDt/U/z8S7HzN8VPKhPW\nxMDMfgZ8AvwRaADcCEwAVJUrIiIiIhLHwlJjYGaDgClAd+BrYDrwlHPukJn9GnjIORexaUuxpBoD\nEREREYmGuK4xMLMBZvYB8ArQDrgTONk59/+cc4fC0UE/SE9P19CciIiIiEREIBCI+5WPA0BvYBfw\nIDDLObe/nHYaMZC4FQgESEtLi3U3pAYUO39T/PxLsfM3xc/f4nblY+A5oCNwu3PuH2Hqj4iIiIiI\nxEBINQZm1hC4GTgLyHTOfVROG40YiIiIiIiEKK5rDJxz+c65/wNuBfqa2RNmdnp4uiYiIiIiItES\nlm/xnXP7nXP/i1d8PMjMHjOzU8JxbpFIUtG4fyl2/qb4+Zdi52+Kn1QmlBqDozjn9gEPmFlz4DYz\nOyGc5xcRERERkcgIyzoGFZ7cLAm4C69AuVnELhRDqjEQERERkWiIdI1BRBOD4ouYtXDO7Y74hWJA\niYGIiIiIRENcFx9XVW1NCsT/NNfSvxQ7f1P8/Eux8zfFTypTK28hKiIiIiIi1ROVqUS1maYSiYiI\niEg01IqpRCIiIiIiEt+UGESBmelRRx4SPZon62+Kn38pdv6m+EllwrqOgVRM041qPyUGIiIi4meq\nMQhRVWoMgvPBotQjiRXFWURERCJJNQY+kJ6erqE5EREREYmIQCBAenp6xK+jEYMQacRAiijO0RUI\nBEhLS4t1N6SGFD//Uuz8TfHzN40YiIiIiIhIxGnEIEQaMZAiirOIiIhEkkYMREREREQk4pQYiIgv\nqeDf3xQ//1Ls/E3xk8ooMZC4t2nTJoYOHUpSUhLNmjWjX79+rFmzplrnmD17Nt26daNRo0Z06dKF\nqVOncujQoUqP+fzzz0lMTCQhIYG33norlLcgIiIiEvdUYxAi1RhE1rZt2zjnnHMoLCzkzjvvJDEx\nkUcffZRvvvmGlStX0q1bt2OeY/r06dx3331cffXV9O/fn1WrVvHEE08watQonn766QqPu/TSS/ng\ngw/Yv38/b7zxBn379q30OoqziIiIRFKkawyUGIRIiUFk/eY3vyEzM5N///vfnHHGGQBs3bqVrl27\nkpaWxiuvvFLp8Vu3biU1NZUrrriCF198sXj7uHHjmDlzJh9++CFnn332Ucc9//zz/OIXv+Duu+8m\nIyODN998U4mBiIiIxJSKj+sY5xzjxs2M2AfMSJw/ISGhwsczzzwT0rlfeOEF0tLSipMCgDZt2jBs\n2DBeffVV9u3bV+nxS5YsoaCggLFjx5bZfvvttxef/0h79uzht7/9Lffccw+dO3cOqf8SOZon62+K\nn38pdv6m+Elljot1B6SsxYtfY/bsbzj//NcZOrS/L86/cOHCMq+dc8yZM4fly5fTpk0bAHbs2FGl\nc9WvX5/mzZsDkJubS15eHjfccMNR7Xr06MFTTz3F2rVrueiiiyo83+rVqzEzevToUWZ7+/btad++\nPR999NFRx0yePJmGDRsybtw4nn/++Sr1W0RERMTvlBjEiccfX8isWX9i/fruwEP87GcTgUzgWmB4\nGK6wEPgT4J1//PiJTJqUydix13LzzaGd/7rrrivzevHixSxfvpwxY8YwYMAAAFq3bl2lc6WlpbF0\n6VLASwwAkpOTj2pXtO3rr7+u9Hy5ubm0bNmSBg0aHLWvXbt2Rx2/du1aHn30URYtWkRiYmKV+iyx\noZU7/U3x8y/Fzt8UP6mMEoM4MXr0z2nZshXDhr0LGFAI3AaEa9Tg50ArwDt/fn4h999/W9hHJdas\nWcPIkSPp06cPs2bNKt7+5ptvVun4pKSk4n8fOHAAoNwP6A0bNizTpiIHDhyo8AN+w4YNy4xkOOcY\nM2YMl156KYMHD65Sf0VERERqCyUGccLMMDOaNs2nY8c7yckpZN48Y+jQcNWXGC+9ZNx4Y8n5i64Z\nLlu3bmXQoEG0a9eORYsWkZBQUsJyrMLd8jRq1AiAgoKCo/bl5+eXaVPZOYralneO0sfPnz+f1atX\n88knn1S7rxJ9gUBA33z5mOLnX4qdvyl+UhklBnFkw4Yc5s0bwFVX9ePPf36dDRtyfHP+goIChgwZ\nwp49e1i+fHmZb/4B8vLyqnSeBg0a0LJlS6BkulDRlKLSKptmVFpycjK7du2ioKDgqJGD3Nzc4tud\n/vDDD9xzzz1ce+21JCYmkpWVBZTURuTl5ZGVlUVqamqV3oeIiIiI3+h2pUcws3Rg0hGb85xz5X4C\n1e1KPSNHjuS5555jyZIlDBw48Kj9pUcPKlO6xgC8D/bdunU7aoGxX/7ylzz77LPs2LGDpk2bVni+\nJ554gltuuYV33nmHXr16FW/fsmULnTp14u6772bGjBns3r27OCGpzL59+2jcuHG5++pCnEVERCR2\nIn27Uo0YlO9zIK3U68Mx6ocvzJw5kwULFjBjxoxykwKoWY0BwDXXXENmZiaffPJJ8S1L8/LyWLRo\nEQMGDCiTFOzcuZPt27eTkpJSPEXoyiuv5I477mDWrFllEoPMzEwAhg0bBkCTJk14+eWXj5pa9dZb\nb5GZmUlGRgZnnnlmcW2DiIiISG2jEYMjBEcMhjrnzjhW22D7Oj1i8Omnn9K9e3dSU1PJyMg46n32\n7NkzpLUAtm3bxtlnn41zrnjl48zMTPLy8lixYgWnnXZacdv09HQyMjIIBAL07t27ePu0adOYNGkS\nV199Nf369WPVqlU8+eSTjBw5krlz51Z6/fnz53PjjTdqgbM4pHmy/qb4+Zdi52+Kn79pxCA2upjZ\n10ABsBK41zm3KcZ9iks7d+7EOUdWVhYjRowos8/MmDdvXkiJQevWrVm2bBl33XUX06ZN4/Dhw1x4\n4YW88MILZZKCouuVV0w9ceJEkpKSyMzMZMmSJbRr147JkyczYcKEKvUhnAXaIiIiIvFKIwZHMLMB\nQBO86URtgInAqcDpzrlvy2lfp0cMpITiLCIiIpEU6REDJQbHYGbHAxuBGc65h8vZr8RAAMVZRERE\nIivSiUHVbhUTR8zsZ2aWaWbvmdkeMys0swXHOKaDmc01s1wzyzezTWb2sJm1ONb1nHPfA+uAk8P1\nHkQkdIFAINZdkBAofv6l2Pmb4ieV8WONwUTgTGAvsAVvmk+FX9Oa2UnAv4ATgVfwpghdANwBDDCz\nnuVNESp1fEOgG7C0ojYiIiIiIn7nu6lEZpYG5DjnvjKzS4C3gYXOuesraP8acBlwu3PusVLb/wD8\nBnjcOTem1Pb/Bf4C5ACtgfuAi4EznHNHrQimqURSRHEWERGRSNJUoiM45wLOua+CLyv9wQRHCy4D\nNpVOCoImA/uB4WZWesWq9sDzeCMLi4EDwI/LSwpERERERGoL3yUG1dQn+Pz6kTucc/uA94HjgR+X\n2v4/zrn2zrlE51wH59zVzrnPo9NdEakqzZP1N8XPvxQ7f1P8pDK1PTHoGnz+ooL9G4LPp0ShLyIi\nIiIiccuPxcfV0Tz4/F0F+4u2H/PuRJUZNWoUqamp3olatOCss84qXlVQmXndUhTvI+Ov1+F/nZaW\nFlf90WvFT6/1Wq/1Otyvi/6dlZVFNPiu+Li0YCHyUiooPjazJ4CbgJucc3PL2T8dGA+Md879voZ9\nUPGxAIqziIiIRJaKj0NTNCLQvIL9Rdt3R6EvIhJGpb9NEf9R/PxLsfM3xU8qU9sTg6Ki4a4V7C+q\nLaioBkFEREREpE6o7VOJugBfApuAk0vP+TGzpsA3eIujtXbOHahhH9zkyZNJC86ZraCNppjUAYqz\niIiIREIgECAQCDBlyhRNJaop59xGvFuVdgZuPWL3FKAxsKCmSUGR9PT0CpMCCd2mTZsYOnQoSUlJ\nNGvWjH79+rFmzZoqH3///fczePBg2rdvT0JCAiNGjKjScZ9//jmJiYkkJCTw1ltv1bT7IiIiIiFJ\nS0sjPT094tfxXWJgZoPNbL6ZzQfGBTdfVLTNzB484pBfAduAWWb2spk9YGZLgV8D/wEmRK3zUm3b\ntm2jV69eLF++nAkTJjB9+nSys7Pp3bs3n332WZXOMXHiRFauXMl5550HeN/sV8Wtt95KgwYNMLMq\nHyPRo3my/qb4+Zdi52+Kn1TGj7cr7Q5cjzcFiOBzZ6BL8HUW8Luixs65jWZ2HpABDAAGArnAI8AU\n51xFtzKVOPDAAw+Ql5fHv//9b8444wwAhg0bRteuXRk/fjyvvPLKMc+xadMmUlJSAEhIqFou/Pzz\nz7N8+XLuvvtuMjIyav4GRERERHzC1zUG8UC3K638w/a8efMYOXJkjc+dnJzMaaedxptvvllm++jR\no3nmmWfYuXMnTZo0qVZfhw8fzrPPPlthmz179nDqqady8803k5qayg033MCbb75J3759Kz13bY+z\niIiIxJZuV+oD6enpYRuac84xbsq4iH3AjMT5Fy5cWOaxYMECLrroIsyMNm3aALBjx44qPb77rmQA\nJzc3l7y8PC644IKjrtmjRw8OHjzI2rVrw/Y+ikyePJmGDRsyblzk4iAiIiJSVYFAICo1Bn6cShR3\nwhmoxX9dzOylszn/nPMZesXQsJ03kue/7rrryl5j8WKWL1/OmDFjGDBgAACtW7eu0rnS0tJYunQp\n4CUG4I0aHKlo29dff13jfpdn7dq1PProoyxatIjExMSwnlvCKxAIqOjfxxQ//1Ls/E3x86eiu19O\nmTIlotdRYhAnHp/3OLOemsX6euuhL/zswZ/Bb4Ef4VVVhOpj4FOgLdAXxs8dz6QZkxh701huvuHm\nMFzAs2bNGkaOHEmfPn2YNWtW8fYjpwJVJCkpqfjfBw54N4sq7wN6w4YNy7QJB+ccY8aM4dJLL2Xw\n4MFhO6+IiIiIHygxiBOjR42mZcuWDPvfYWB4JdU9gJPDdIEz8W7Omg0Y5P+Qz/333B/WUYmtW7cy\naNAg2rVrx6JFi8rUHhxrfn55GjVqBEBBQcFR+/Lz88u0CYf58+ezevVqPvnkk7CdUyJH33j5m+Ln\nX4qdvyl+UhklBnGi6JaYTROa0vHDjuQk5DDvmnlh/eD+0l9e4sY/3Oidf19OWG/DWVBQwJAhQ9iz\nZw/Lly8v880/QF5eXpXO06BBA1q2bAmUTBcqmlJUWmXTjGrihx9+4J577uHaa68lMTGRrKwswKuN\nAK//WVlZpKamhuV6IiIiIvFGiUEYFC1wFmoWvmHTBubdNY+rLr+KP//tz2zYtCE8HYzC+UePHs2q\nVatYsmQJ3bp1O2p/VT/Al64xSE5Opm3btqxYseKoditXrqR+/fqceeaZoXU8aP/+/ezYsYMFCxaw\nYMGCo/YPHz4cgH379tG4ceOwXFNCo3my/qb4+Zdi52+Knz8VrXwcaUoMwiBcxcfj7xhf/O9IFB5H\n6vwzZ85kwYIFzJgxg4EDB5bbpiY1BgDXXHMNmZmZfPLJJ8XrGOTl5bFo0SIGDBhA06ZNi9vu3LmT\n7du3k5KSUu0pRk2aNOHll18+agTlrbfeIjMzk4yMDM4888zi2gYRERGRaIlW8bHWMQhRXV/H4NNP\nP6V79+6kpqaSkZFx1Pvs2bMnnTt3rvH5t23bxtlnn41zjjvvvJPExEQyMzPJy8tjxYoVnHbaacVt\n09PTycjIIBAI0Lt37+LtCxYsIDs7G4BJkybRvXt3hg71EqNLLrmEXr16VXj9+fPnc+ONN2odAxER\nEYm5SK9joBEDCcnOnTtxzpGVlcWIESPK7DMz5s2bF1Ji0Lp1a5YtW8Zdd93FtGnTOHz4MBdeeCEv\nvPBCmaSg6Hrl1UzMnTuXd955p7jN2rVr+fjjjzEzJk+eXGliUHSMiIiISG2nEYMQ1fURAymhOEeX\n5sn6m+LnX4qdvyl+/qaVj0VEREREJOI0YhAiM3OTJ0+u9K5E+ia5blCcRUREJBKK7ko0ZcqUiI4Y\nKDEIkaYSSRHFWURERCJJU4lERMoRjfs5S+Qofv6l2Pmb4ieVUWIgIiIiIiKaShQqTSWSIoqziIiI\nRJKmEomIiIiISMQpMRARX9I8WX9T/PxLsfM3xU8qo8QgDNLT0/WLJiIiIiIREQgESE9Pj/h1VGMQ\nItUYSBHFWURERCJJNQYiIiIiIhJxSgxExJc0fc/fFD//Uuz8TfGTyigxEBERERERJQYS3z744ANu\nvfVWzj//fBITE0lISGDjxo3VPs/s2bPp1q0bjRo1okuXLkydOpVDhw6F3FZiJy0tLdZdkBAofv6l\n2Pmb4ieVUWIgce0f//gHTz75JIWFhXTt2hWz6tfbTJ8+ndtuu40zzzyTxx57jP79+5Oens7NN98c\nUlsRERGRWsU5p0cID+9HWLmqtJHybd261eXn5zvnnJs8ebIzM/fVV19V+fi8vDzXsGFDd/XVV5fZ\nfs899zgzcx999FGN2pZHcY6ut99+O9ZdkBAofv6l2Pmb4udvwc8aEftcqxGDOOOcY+a4cRG77WUk\nzp+QkFDh45lnngnp3K1btyYxMbHGxy9ZsoSCggLGjh1bZvvtt98OwAsvvFCjtiIiIiK1zXGx7kBt\nkJ6eTlpaWljm7b22eDHfzJ7N6+efT/+hQ0PvXBTOv3DhwjKvnXPMmTOH5cuX06ZNGwB27NhRpXPV\nr1+f5s2bh6VfAKtXr8bM6NGjR5nt7du3p3379nz00Uc1aiuxp3my/qb4+Zdi52+Knz8FAoGo3FFK\nC5yFKFwLnC18/HH+NGsW3devZxowEfgYuBYYHoZ+LgT+BHQH7/ynnMLH9etz7dixDA/z/PnFixcz\nbNgwxowZw6OPPgp4owpVkZaWxtKlS8vdl56eTkZGBl9++SVdunSp0vkuv/xyVq5cyfbt24/a16NH\nD77//nvWrVtX7bbl0QJnIiIiEkmRXuBMIwZx4uejR9OqZUveHTYMAwqB24D+4To/0Ap4F7zz5+dz\n2/33h31UYs2aNYwcOZI+ffowa9as4u1vvvlmlY5PSkoKa38OHDhQ4VSkhg0blhnJqE5bib1AIKBv\nvnxM8fMvxc7fFD+pjBKDOGFmmBn5TZtyZ8eOFObkYPPmYWH64G6AvfQS+TfeWHL+4DXDZevWrQwa\nNIh27dqxaNGiMqMEffv2Ddt1qqNRo0bk5+eXuy8/P59GjRrVqK2IiIhIbaPEII7kbNjAgHnz6HfV\nVbz+5z+Ts2GDb85fUFDAkCFD2LNnD8uXLz/qm/+8vLwqnadBgwa0bNkybP1KTk5m165dFBQUHDUa\nkJubS7du3WrUVmJP33j5m+LnX4qdvyl+UhklBnHkl+PHF/87EoXHkTz/6NGjWbVqFUuWLCn3A3Ry\ncnKVzlNZjUFNnHfeeTz11FN88MEH9OrVq3j7li1byM3NZfjw4TVqKyIiIlLbKDGQkM2cOZMFCxYw\nY8YMBg4cWG6baNQY7Ny5k+3bt5OSklI87efKK6/kjjvuYNasWWU+7GdmZgIwbNiw4m3VaSuxp3my\n/qb4+Zdi52+Kn1RGiYGE5NNPP2X8+PF07tyZ9u3bH3Xr0p49e9K5c+ca1xhkZ2ezYMECAN59910A\nHnvsMZKSkjAzJkyYUNw2MzOTjIwMAoEAvXv3BqBNmzZMmDCBSZMmcc0119CvXz9WrVrFk08+yahR\nozjnnHOKj69OWxEREZHaRrcrDVG4blfqV++88w59+vQp9z2aGfPmzeP666+v8fkDgUBxUlFUKF10\nHTPj8OHDxW2nTJlCRkYGb7/9dnFiUOSxxx4jMzOTrKws2rVrxw033MCECROoV6/eUdesTtsj329t\njbOIiIjEXqRvV6rEIER1PTGQEoqziIiIRFKkE4OqrTolIhJnorECpESO4udfip2/KX5SGSUGIiIi\nIiKiqUShMjM3efJk0tLSKqzy1xSTukFxFhERkUgIBAIEAgGmTJmiGoN4phoDKaI4i4iISCSpxkBE\npByaJ+tvip9/KXb+pvhJZZQYiIiIiIiIphKFSlOJpIjiLCIiIpGkqUQiIiIiIhJxSgxExJc0T9bf\nFD//Uuz8TfGTyigxEBERERER1RiESjUGUkRxFhERkUhSjYGIiIiIiEScEgMR8SXNk/U3xc+/FDt/\nU/ykMkoMJG4553j22WcZOnQoqampNG7cmK5duzJmzBi2bt1arXPNnj2bbt260ahRI7p06cLUqVM5\ndOhQyG1FREREagvVGIRINQaRs2/fPpo1a8a5557LFVdcQceOHfnss8+YM2cOxx9/PKtXr6ZDhw7H\nPM/06dO57777uPrqq+nfvz+rVq3iiSeeYNSoUTz99NM1bnskxVlEREQiKdI1BkoMQqTEIHIOHjzI\nBx98QM+ePctsf/vtt7n00ksZO3YsjzzySKXn2Lp1K6mpqVxxxRW8+OKLxdvHjRvHzJkz+fDDDzn7\n7LOr3bY8irOIiIhEkoqP6xjnHOOmT4/YB8xInD8hIaHCxzPPPFPj89avX/+opACgT58+JCUlsX79\n+mOeY8mSJRQUFDB27Ngy22+//XYAXnjhhRq1ldjTPFl/U/z8S7HzN8VPKnNcrDtQG6Snp5OWlkZa\nWlrI51r8978z+5NPOP8f/2DoT38aeueicP6FCxeWee2cY86cOSxfvpw2bdoAsGPHjiqdq379+jRv\n3rzSNnv37mXfvn2ceOKJxzzf6tWrMTN69OhRZnv79u1p3749H330UY3aioiIiERLIBCISlKnqUQh\nCtdUosfnz2fWggWsb9cOfvELePpp+Oor6NsXLrss9I6+8QYsXQonnQS/+AWnPPcc9TduZOyIEdw8\nalTo5y9l8eLFDBs2jDFjxvDoo48C3qhCVaSlpbF06dJK20yaNIlp06bx17/+lZ8eI7m5/PLLWbly\nJdu3bz9qX48ePfj+++9Zt25dtduWR1OJREREJJIiPZVIIwZxYvTIkbRs1Yphf/oTmIFzMGQInH9+\neC7wk59As2awdi2YkX/4MPf/5jdhH5VYs2YNI0eOpE+fPsyaNat4+5tvvlml45OSkird/+qrrzJ9\n+nSGDh16zKQA4MCBAyQmJpa7r2HDhmVGMqrTVkRERKS2UWIQJ8wMM6Pp4cN0nD+fnEOHmHf66Qzt\n0yds13jp+++58d//9s5/4EDxNcNl69atDBo0iHbt2rFo0aIyowR9+/YN+fwrVqxg2LBhnHfeeVWu\nXWjUqBH5+fnl7svPz6dRo0Y1aiuxFwgEwjJ9T2JD8fMvxc7fFD+pjBKDOLIhO5t5I0Zw1cCB/Pkf\n/2BDdrZvzl9QUMCQIUPYs2cPy5cvP+qb/7y8vCqdp0GDBrRs2fKo7WvWrGHgwIGkpKTw6quv0rhx\n4yqdLzk5mV27dlFQUHDUaEBubi7dunWrUVsRERGR2kY1BiHS7Uo9I0eO5LnnnmPJkiUMHDjwqP2h\n1BisX7+eSy65hBYtWvDee+/Rtm3bKvfriSee4JZbbuGdd96hV69exdu3bNlCp06duPvuu5kxY0a1\n25anLsRZREREYkc1BhL3Zs6cyYIFC5gxY0a5SQHUvMbgyy+/5Cc/+QmNGzfmrbfeqjQp2LlzJ9u3\nbyclJaV42s+VV17JHXfcwaxZs8p82M/MzARg2LBhxduq01ZERESkttGIQYjq+ojBp59+Svfu3UlN\nTSUjI+Oo99mzZ086d+5co3Pv3buXM844g82bNzNhwgS6du1aZn/Tpk258sori1+np6eTkZFBIBCg\nd+/exdunTZvGpEmTuPrqq+nXrx+rVq3iySefZOTIkcydO7fMOavT9ki1Oc7xSPNk/U3x8y/Fzt8U\nP3/TiIHEtZ07d+KcIysrixEjRpTZZ2bMmzevxonBzp072bx5M2bG9OnTj9qfmppaJjGoqJh64sSJ\nJCUlkZmZyZIlS2jXrh2TJ09mwoQJIbUVERERqU00YhCiuj5iICUUZxERrC0GKAAADhxJREFUEYmk\nSI8YVK0iVEREREREajUlBiLiS9FYGl4iR/HzL8XO3xQ/qYwSAxERERERUY1BqFRjIEUUZxEREYkk\n1RiIiIiIiEjEKTEQEV/SPFl/U/z8S7HzN8VPKqPEoAJmNt7MCs0sM9Z9ERERERGJNNUYlMPMfgw8\nB+wB3nXOja2krWoMBFCcRUREJLJUYxBlZtYcWAjcAOyKcXdERERERKJCicHRngAWOefeAcKWkZmZ\nHrX8IdGlebL+pvj5l2Lnb4qfVOa4WHcgnpjZL4EuwHXBTWGZF6LpJfErEAiQlpYW626IiIiIxJxq\nDILMrCvwHnCxc+6L4LYA8Ilz7vZKjjtmjYGIiIiISKhUY1CKmf3MzDLN7D0z22PeXYMWHOOYDmY2\n18xyzSzfzDaZ2cNm1uKIphcCJwDrzOygmR0EegO/MrMfzKx+hN6WiIiIiEjM+SoxACYCtwJnAluC\n2yr8ut7MTgI+BEYBK4CHgI3AHcByM2tZqvnLwI+A7sHHWcBq4HngLOfcwXC+EYkPmmvpX4qdvyl+\n/qXY+ZviJ5XxW2Lwa+AU51xzYEwV2s8GTgRud85d5Zy71zl3KfAw0BWYXtTQOfedc259qcc6YD+w\nyzm3PvxvReLBmjVrYt0FqSHFzt8UP/9S7PxN8ZPK+CoxcM4FnHNfBV9WOr8qOFpwGbDJOffYEbsn\n433oH25mjSu7JGEqQJb4tHv37lh3QWpIsfM3xc+/FDt/U/ykMr5KDKqpT/D59SN3OOf2Ae8DxwM/\nrugEzrk+lS1uFk/COTRY03NV57iqtK2sTXX3xfPQabj7Fg/xq+n+6m6PB/rdO/a+eI1fbfzdO1Yb\n/b8z/Oer6nGhxq6y/X773QP9v/NY+2IVu9qcGHQNPn9Rwf4NwedTotCXiNMvWOX7KmqflZV1zH5E\nmt/+uFWlbTT+uMVD7EC/e1XZF6/xq42/e8dqE47/d8ZD7MB/8YuXxKA2xq+u/O5Fg29vV2pmacBS\nYKFz7vpy9j8B3ATc5JybW87+6cB4YLxz7vch9MOfP0ARERER8Z1I3q5UC5yFKJLBERERERGJlto8\nlei74HPzCvYXbVcVjoiIiIjUebU5Mfg8+Ny1gv1FtQUV1SCIiIiIiNQZtTkxeDv4fJmZlZnuY2ZN\ngZ7A93gLn0WNmd1qZh+b2XfBx7/MbGA0+yA1Z2bjzWxVMHbbzOwvZnZ6rPslx2ZmvYPx2hJcNX1k\nrPskx2ZmvwquWH/AzFab2cWx7pNUjX7n/Et/6/wtlM+atTYxcM5txLtVaWe81ZJLmwI0BhY45w5E\nuWs5wN3A2cC5eAXUr5jZGVHuh9TMJcCjwIVAX+AQ8KaZJcW0V1IVxwNr8VY+P4DWKIl7ZnYN8Agw\nDW81+n8Br5pZx5h2TKpKv3P+pb91/lbjz5q+uiuRmQ0GBgdftgX6ARuBZcFt251zvyvVvgveH5LW\nwBK86UUXAGnAf4CLnHO7otL5SpjZTmCcc+7JWPdFqsfMjserZ7nSOff3WPdHqsbM9gK3OueejXVf\npGJmthJY45y7udS2L4CXnHP3xq5nUl36nfM3/a3zv6p+1vTbXYm6A9dT8q2DwxsR6BJ8nQUUJwbO\nuY1mdh6QAQwABgK5eN9ATXHOFRUox4SZ1QOuxvtW5V+x7IvUWDO8kbeYJ5gitYmZNQDOAWYeset1\n4KLo90ikTtPfOp+q7mdNXyUGzrkpeNOAqnPMFuDGyPSoZoJDOcuBRGAfMMQ5ty62vZIa+j/g33jx\nFJHwOQGoB2w9Yvs2vBFjEYke/a3zmZp+1qy1NQaxZmY/N7O9pR49S+3+HDgT6AHMAZ5VUU98OUb8\nito8hPfN5VDnpzl5tVxVYiciIlWjv3W+VaPPmnU6MTCzn5lZppm9Z2Z7gndNWHCMYzqY2VwzyzWz\n/ODdMh42sxZHNF2CN/Wp6PFh0Q7n3EHn3Ebn3L+D82TXAL8J89ur9WIVv+B5HgauAfo657LC967q\nhljGTsInwnHcARwG2hyxvQ3wTRjfRp0V4fhJBEUrdvpbFxnRiF9NP2v6aipRBEzEy6b2AluAU6nk\nrglmdhLe/KwTgVcoKWa+AxhgZj2dc98COOf24Q3dVEU9oEEN30NdFpP4mdn/4c3X6+Oc0zoYNRMv\nv3sSmkjG8Qcz+xDvJhOLS53mMmBR+N9KnRSx+EnERTx2+lsXUbH43avaZ03nXJ194N2d6KTgvy8B\nCoFnK2n/WrDNrUds/0Nw+5wqXHMGcDGQCpwBPID3rVj/WP88/PaIUfwew7szQx+8ec5Fj+Nj/fPw\n0yNGsTse75aXZ+GtYXJf8N8dY/3z8Osj0nEEhgEFwC+AbnjznPcoZr6Jn37n/Bs7/a3zd/xq/Fkz\n5j+ceHkEg1RhYICTgvu/KmdfE7xvKPcCjY9xnXl4d0/Kxyuqex24LNbv3++PKMavMPjLVXjEY1Ks\nfwZ+fUQxdmml4lU6hnNj/TOoDY9IxREYA2wK/j9zFXBxrN9rbXxEIn76nfN17PS3zt/xq/Fnzbo+\nlag6+gSfXz9yh3Nun5m9jzfE/WO8hSTK5Zy7ITLdk2MIV/zqdF1OjIQrdgHqeF1VjNUojs65OXiF\ncxJb1Y6ffufiRk1ip7jFj5rEr8afNRX4qusafK5ont2G4PMpUeiLVJ/i51+KXe2gOPqb4udfip2/\nRTV+SgyqrnnwuaJF0Yq2684M8Unx8y/FrnZQHP1N8fMvxc7foho/JQYiIiIiIqLEoBqKMrLmFewv\n2r47Cn2R6lP8/Euxqx0UR39T/PxLsfO3qMZPiUHVfR587lrB/qK5XbrXb3xS/PxLsasdFEd/U/z8\nS7Hzt6jGT4lB1b0dfL7MzKz0DjNrCvTEu0/zimh3TKpE8fMvxa52UBz9TfHzL8XO36IaPyUGVeSc\n24h3q6jOwK1H7J4CNAYWOOcORLtvcmyKn38pdrWD4uhvip9/KXb+Fu34WXAhhDrJzAYDg4Mv2wL9\ngI3AsuC27c6535Vq3wVvSerWwBJKlqROA/4DXOSc2xWVzovi52OKXe2gOPqb4udfip2/xXX8Yr3i\nW4xXm5tMyep+pR9FK/xtLOeYDsBcIBcowFuR8yGgeazfT117KH7+fSh2teOhOPr7ofj596HY+fsR\nz/Gr0yMGIiIiIiLiUY2BiIiIiIgoMRARERERESUGIiIiIiKCEgMREREREUGJgYiIiIiIoMRARERE\nRERQYiAiIiIiIigxEBERERERlBiIiIiIiAhKDEREREREBCUGIiISZmaWbmaFpR5x+bfGzH5yRD9/\nEes+iYjEUlz+z1pERMLPzDLN7D0zS47SJYcDw51zhaX6kFbqg/jvKujnb0u1uSSC/fsk2Mf7g69d\nBK8lIhL3lBiIiNQdY4E2wF3RuJhz7jnn3HMV7M4HRlSw7/rgfkcEP6w757YG+/dmpK4hIuInSgxE\nROoI55wDFgJXx7ovwF+BH5lZ99IbzexM4AzgL4DFomMiInWVEgMRkbrlRaC9mfWMcT/eAr7h6FGD\n64Gvg/vLMLNRwelFA8xshpnlmtl+M3vHzM4up/3xZjbNzL4ws3wzyzOzv5nZuRF5RyIiPqfEQESk\nDnHOfQ6sA4bFuCuHgeeA64qKk82sHnBdcHthJcc+APQHZgK/B04D3jazk4samFkjIADcC3wA/Ab4\nQ/C6F4T5vYiI1ArHxboDIiISdS8CN5vZr4PTi2LBAc8CvwUuA14DfgK0DW6/sJJjmwDdnXP7Aczs\nZeAjYBpwbbDNb4FzgVucc0+UOvbBML4HEZFaRSMGIiJ1z2IgGbg4lp1wzn0CrKVkOtH1wBrn3Lpj\nHPpUUVIQPM9avKlHA0u1GQZkHZEUiIhIJZQYiIjUIWZmwK3AFmI/nQhgATDYzNoBg4Ovj+U/5Wz7\nAmhiZicGX5+CN2VKRESqSImBiEjd8hje3Pu5wNBgohBLzwGJeHdLahB8HQ5ak0BEpJpUYyAiUkeY\n2R+A75xzi8zsM2AS0At4t1SbC4EpeLcKfSm4+XTgW+dcerj75Jz7xszeAvoB/3TOba3CYaeWs60r\nsNc5tz34egPe7VAthnUUIiK+osRARKQOMLOpeHfvGQjgnPs0mBwMo1Ri4Jxbbmb7gUzn3FvBY5sA\ne8xsZum5/WGUDvwLrwC5Km4ys1mlio+7A5cCi0q1eRGYCowGHg9fV0VEai8lBiIitZyZjcO7W8/5\nR3x7vgjv7kRjnXOFwbb1gPMIJgvBqUYTgccilBTgnFsBrKjGIXuAf5nZfKA5cDuwD7ivVJs/AEOA\nOWbWG3gfaAj0Bt5wzj0Whq6LiNQqSgxERGqx4P38bwEud87tPmL3XOAO4L+Bvwe3nYNXmNw3mBQM\nAj50zj0dxm5VZWqPq6TdeKAPcDeQRHCdAufchuKDncs3szS8ZOFnwce3wbbv17jnIiK1mBIDEZFa\nzDl3AEitYN9mvA/WpfUBXnTOvQZgZkuBz8zsHefcl9W5tpm1Asw5t6PUNQNAvSr0+2mgomTkoHNu\nHDDuGOfYB9wTfJTXv+OAFnijDiIidZ7uSiQiIqX1AZYVvXDO/QDsxStArqqib/q3A9uKVjaOQ2nA\nNuBldBcjERGNGIiIiMfM6uOtFvxRqW0/BZoCb1TjVM8C7xW9KKpfiEMf4q22XOSzWHVERCQeKDEQ\nERHMrAdwDXAQryAZoBWQAvSqTuGxc24TsCkS/SSM3+w753YBS8N1PhERvzPd3llEREREROJ13qeI\niIiIiESREgMREREREVFiICIiIiIiSgxERERERAQlBiIiIiIighIDERERERFBiYGIiIiIiKDEQERE\nREREUGIgIiIiIiLA/wfhdDY+d+hgIwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe328525790>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp\n",
"from matplotlib import gridspec\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from numpy import log10, loadtxt, arange\n",
"from src.analytic import Ee, Delta, Dic, RL, yr\n",
"\n",
"import matplotlib as mpl\n",
"label_size = 20\n",
"mpl.rcParams['xtick.labelsize'] = label_size \n",
"mpl.rcParams['ytick.labelsize'] = label_size \n",
"\n",
"#fig = figure(figsize=(12,9))\n",
"#ax = fig.add_subplot(111,projection='3d') \n",
"\n",
"fig1 = figure(figsize=(12,12))\n",
"gs = gridspec.GridSpec(2, 1, height_ratios=[1,1]) \n",
"fig1.subplots_adjust(hspace=0)\n",
"ax1 = fig1.add_subplot(gs[0])\n",
"ax2 = fig1.add_subplot(gs[1],sharex=ax1)\n",
"\n",
"theta_mean = loadtxt(\"Results/theta_mean_vs_LB.dat\")\n",
"dt_mean = loadtxt(\"Results/delay_mean_vs_LB.dat\")\n",
"\n",
"Redshifts = theta_mean[1:,0]\n",
"LB = theta_mean[0,1:]\n",
"\n",
"i=1\n",
"\n",
"nLB = 5000\n",
"LBmin = 1e-4\n",
"LBmax = 1e4\n",
"L = LBmin*(LBmax/LBmin)**(arange(nLB)/(nLB-1.))\n",
"for z in Redshifts:\n",
" #p=ax.plot(theta_mean[i,1:],log10(dt_mean[i,1:]),log10(LB),\":*\",label=\"z=%1.2f\"%z)\n",
" p=ax1.plot(LB,theta_mean[i,1:],'-*',linewidth=2)\n",
" #ax1.plot(L,Delta(Ee(1000,float(z)),1e-15,L,float(z)),linestyle='-',color=p[0].get_color())\n",
" #ax1.axvline(x=Dic(Ee(1000,float(z)),float(z)),ymin=0.,ymax=10.,color=p[0].get_color(),linestyle='--')\n",
" ax2.plot(LB,dt_mean[i,1:],'-*',color=p[0].get_color(),linewidth=2,label=\"z=%1.2f\"%z)\n",
" i+=1\n",
"\n",
"#ax.legend(loc=\"best\",fontsize=\"xx-large\")\n",
"#ax.set_xlabel(\"$\\\\theta$ [deg]\",fontsize=\"x-large\")\n",
"#ax.set_ylabel(\"Time delay [yrs]\",fontsize=\"x-large\")\n",
"#ax.set_zlabel(\" log $\\\\lambda_B$ [Mpc]\",fontsize=\"x-large\")\n",
"\n",
"ax1.set_xscale('log') \n",
"ax1.set_yscale('log')\n",
"ax1.set_ylim([5e-3,10])\n",
"ax1.grid(b=True,which='major')\n",
"#ax1.legend(loc=\"best\")\n",
"ax1.set_xlabel(\"$\\\\lambda_B$ [Mpc]\",fontsize=\"xx-large\")\n",
"ax1.set_ylabel(\"$\\\\theta_{avg}$ [degre]\",fontsize=\"xx-large\")\n",
"xticklabels = ax1.get_xticklabels()\n",
"setp(xticklabels, visible=False)\n",
"\n",
"ax2.set_xscale('log') \n",
"ax2.set_yscale('log')\n",
"ax2.set_ylim([1e4,5e7])\n",
"ax2.grid(b=True,which='major')\n",
"ax2.legend(loc=\"best\",fontsize=\"xx-large\")\n",
"ax2.set_xlabel(\"$\\\\lambda_B$ [Mpc]\",fontsize=\"xx-large\")\n",
"ax2.set_ylabel(\"$\\\\Delta t_{avg}$ [yrs]\",fontsize=\"xx-large\")\n",
"\n",
"show()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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n+D3MKX4Pc4oRSxOdUxxJT/EFkloifUMAQJzyet2OAFFSVeV2BEgl3tO5dgwq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\nTERERERERG6LnWIiIiIiIiJyW/8fa+1AEENtrTUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fce99802650>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp\n",
"from matplotlib import gridspec\n",
"from numpy import arange\n",
"from modules.analytic import Ee, RL, lambdaIC, Dic\n",
"\n",
"fig = figure(figsize=(16,12))\n",
"gs = gridspec.GridSpec(2, 1, height_ratios=[1,3]) \n",
"fig.subplots_adjust(hspace=0.001)\n",
"ax1 = fig.add_subplot(gs[0])\n",
"ax2 = fig.add_subplot(gs[1],sharex=ax1)\n",
"\n",
"nz = 5000\n",
"zmin = 2.3e-3\n",
"zmax = 4.\n",
"z = zmin*(zmax/zmin)**(arange(nz)/(nz-1.))\n",
"\n",
"ax1.plot(z,Ee(1000,z)*1e-3 ,color='k',linestyle='-' ,label=\"$E_\\gamma = 1$TeV / $E_e$ ~ %1.1f TeV\"%(Ee(1000)*1e-3))\n",
"ax1.plot(z,Ee(1,z)*1e-3 ,color='k',linestyle='--',label=\"$E_\\gamma = 1$GeV / $E_e$ ~ %1.1f TeV\"%(Ee(1)*1e-3))\n",
"ax2.plot(z,RL(Ee(1000,z),1e-15),color='k',linestyle='-' ,label=\"$E_\\gamma = 1$TeV / $R_L$ ~ %1.1f Mpc\"%(RL(Ee(1000),1e-15)))\n",
"ax2.plot(z,RL(Ee(1,z),1e-15) ,color='k',linestyle='--',label=\"$E_\\gamma = 1$GeV / $R_L$ ~ %1.1f Mpc\"%(RL(Ee(1),1e-15)))\n",
"ax2.plot(z,Dic(1000,z) ,color='b',linestyle='-')\n",
"ax2.plot(z,lambdaIC(z) ,color='r',linestyle='-')\n",
"\n",
"label=\"z=0.0308 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,0.0308),lambdaIC(0.0308)*1e3)\n",
"ax1.axvline(x=0.0308,ymin=0.,ymax=10.,color='r',linestyle='--')\n",
"ax2.axvline(x=0.0308,ymin=0.,ymax=10.,color='r',linestyle='--',label=label)\n",
"label=\"z=0.1 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,0.1),lambdaIC(0.1)*1e3)\n",
"ax1.axvline(x=0.1 ,ymin=0.,ymax=10.,color='b',linestyle='--')\n",
"ax2.axvline(x=0.1 ,ymin=0.,ymax=10.,color='b',linestyle='--',label=label)\n",
"label=\"z=0.5 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,0.5),lambdaIC(0.5)*1e3)\n",
"ax1.axvline(x=0.5 ,ymin=0.,ymax=10.,color='g',linestyle='--')\n",
"ax2.axvline(x=0.5 ,ymin=0.,ymax=10.,color='g',linestyle='--',label=label)\n",
"label=\"z=1 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,1),lambdaIC(1)*1e3)\n",
"ax1.axvline(x=1 ,ymin=0.,ymax=10.,color='m',linestyle='--')\n",
"ax2.axvline(x=1 ,ymin=0.,ymax=10.,color='m',linestyle='--',label=label)\n",
"label=\"z=2 - $D_{ic}$ = %1.2f kpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,2)*1e3,lambdaIC(2)*1e3)\n",
"ax1.axvline(x=2 ,ymin=0.,ymax=10.,color='c',linestyle='--')\n",
"ax2.axvline(x=2 ,ymin=0.,ymax=10.,color='c',linestyle='--',label=label)\n",
"\n",
"\n",
"ax1.set_title(\"B=$10^{-15}$G\",fontsize=\"x-large\")\n",
"\n",
"ax1.set_xscale('log') \n",
"ax1.set_yscale('log')\n",
"ax1.set_ylim([0.2,40])\n",
"ax1.grid(b=True,which='major')\n",
"ax1.legend(loc=\"best\")\n",
"ax1.set_ylabel(\"$E_e$ [TeV]\",fontsize=\"x-large\")\n",
"xticklabels = ax1.get_xticklabels()\n",
"setp(xticklabels, visible=False)\n",
"\n",
"ax2.set_xscale('log') \n",
"ax2.set_yscale('log')\n",
"#ax2.set_ylim([0.2,40])\n",
"ax2.grid(b=True,which='major')\n",
"ax2.legend(loc=\"best\")\n",
"ax2.set_ylabel(\"$R_L$ / $D_{ic}$ (blue) / $\\lambda_{ic}$ (red) [Mpc]\",fontsize=\"x-large\")\n",
"\n",
"show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$R_L$ ne dépend pas du redshift (z) en première approximation \n",
"\n",
"| $\\lambda_B $ | $>R_L$ = 19 Mpc | $< R_L$ = 0.6 Mpc |\n",
"|:------------:|:--------------------------------:|:--------------------------------:|\n",
"| $>D_{ic}(z)$ | leptons coincés dans une cellule | leptons coincés dans une cellule |\n",
"| $<D_{ic}(z)$ | leptons coincés dans une cellule | isotropisation (~) |\n",
"\n",
"\n",
"* $\\theta_{mean}$: si cas \"leptons coincés dans une cellule\" => déflexion moyenne tout le temps la même (haute) \n",
"* $\\theta_{mean}$: si cas \"isotropisation\" => déflexion moyenne plus basse\n",
"\n",
"résultats très différents des estimations analytiques!"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Halo size Versus EGMF"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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O1Z/qczac+XAiIiIiilRcZ76FEHkA/iCl/Gbv/lUAVkopr+3d19YmfRTegfrn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\n565TLp2i5hvVa0OfbwBAQ3X6B8s5ss61Qe6qkgpXwtvQIzx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ORd7xyDwWfb4BAADabDDY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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fceb889f790>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import modules.arrival_angle\n",
"modules.arrival_angle.drawArrivalAngle([\"EGMF=1e-14G\",\"EGMF=1e-15G\",\"EGMF=1e-16G\",\"EGMF=1e-17G\",\"EGMF=1e-18G\"])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 0.00e+00 1.00e-12 1.00e-13 1.00e-14 1.00e-15 1.00e-16\n",
" 1.00e-17 1.00e-18]\n",
" [ 4.00e-02 5.45e-01 8.03e-01 2.74e+00 1.30e-01 4.19e-03\n",
" 3.31e-03 2.28e-03]\n",
" [ 1.40e-01 1.48e-01 1.62e-01 1.21e-01 1.69e-01 8.87e-04\n",
" 1.01e-03 9.89e-04]\n",
" [ 4.00e-01 1.40e-02 3.16e-01 9.10e-03 7.44e-04 1.83e-04\n",
" 2.43e-04 2.58e-04]\n",
" [ 1.00e+00 1.28e-03 1.57e-03 6.50e-04 1.22e-04 6.72e-05\n",
" 9.30e-05 8.11e-05]\n",
" [ 2.00e+00 1.64e-04 1.92e-04 4.56e-05 2.66e-05 5.09e-05\n",
" 7.00e-05 4.70e-05]]\n"
]
}
],
"source": [
"from numpy import zeros, size, nditer, average, savetxt, set_printoptions\n",
"from matplotlib.pyplot import figure, show\n",
"from modules.read import select_events\n",
"from modules.analytic import degre, yr\n",
"\n",
"Redshifts=[\"0.04\",\"0.14\",\"0.4\",\"1\",\"2\"] \n",
"EGMFs=[\"12\",\"13\",\"14\",\"15\",\"16\",\"17\",\"18\"]\n",
"\n",
"theta_mean = zeros((size(Redshifts)+1,size(EGMFs)+1))\n",
"\n",
"def compute_mean_delay_and_theta(i,j):\n",
" if i==0:\n",
" theta_mean[i,0] = 0\n",
" theta_mean[i,j] = 10**(-float(EGMFs[j-1])) \n",
" else:\n",
" theta_mean[i,0] = Redshifts[i-1]\n",
" fileId=\"Simulations/z=\"+Redshifts[i-1]+\"/EGMF=1e-\"+EGMFs[j-1]+\"G\"\n",
" weight, energy, time, theta_arrival, theta, phi, gen = select_events(fileId,Erange=[1,1e3],delayrange=[1e-4*yr,10*yr],powerlaw_index=1.2)\n",
" theta_mean[i,j]=average(theta_arrival,weights=weight)/degre\n",
"\n",
"it=nditer(theta_mean, flags=['multi_index'], op_flags=['readwrite'])\n",
"while not it.finished:\n",
" compute_mean_delay_and_theta(it.multi_index[0],it.multi_index[1]) \n",
" it.iternext()\n",
"\n",
"savetxt(\"Results/theta_mean_vs_EGMF-bis.dat\", theta_mean, fmt='%1.4e')\n",
"\n",
"set_printoptions(precision=2)\n",
"print(theta_mean)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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J1to1mR8LvRiZrQIdgbW5A4FMo4D9wN+NMTVzHf+/wIPA48Ay3ChC1xcUCIi3\naaxlb1P9eZvqzze//ZYTCFx5ZXC0CKjuSicyEp5/3tXpG2+4lp6UFHjlFbjgAjcS0eTJUF7T7qj+\npCSCJhgopqw+/vOPXWGtTQW+AmoB7Y5Z97K19jRrbXVr7UXW2i/Lv6giIiJ5/fprTiDQvr1rEVBX\nkoqjRg3o2RO+/NLlFjzwgJsn4rvvoF8/NxLRfffBsmWBLqlIEHUTyi2zy9BCCugmZIwZBzwCPGKt\nnZDP+hdx3YHus9bGlaIc6ibkJ7qmIhIqfvkFOnSALVtcQPDBB1CrVqBLJeXtwAFISHDdiL7M9Siy\nbVuXcKzcgtAWyG5CXp10LGvU5X0FrM9aXur5Gnv37s2pp57qDla3LucHYniAEJHVvJk1EoI+67M+\n63NF+9ywYRQdOsDWrYmcfz588EEUtWoFT/n0uXw/9+wZRc+eMHVqIh9+CAsXRvH99/D994kMHgx3\n3RXFgAGwb19wlFefy+/z8uXL2ZuZWLJu3ToCyastA68CfYG+1top+awfDYwARlhrnylFOdQy4Cca\nWlRyU/15m+ovf6tWuRaBbdvcz3nz3MRWwUR151+FtRZkjURUnDwS1Z93KYG4+LKe/Bc0L2PW8r0F\nrBcREfGbVasgOtoFAldfHZyBgPhfVm7BkiVuJKIHH4R69eD7710w0KQJ3Hsv/PhjoEsqFZlXWwbu\nAV4DXrXW3pvP+qxhR6+21i4qRTnsqFGjiIqKyhNpq2Wg7OmaikhFtXKlCwR27IBrroH333c3gSL5\nOXAAZs+GuLi8rQUXXpiTWxDoUaek7CQmJpKYmEhsbKxaBoop6wa/ozEmz4UzxkQAl+NmHP6mtCeK\niYkJmSa3cePGcd5551G7dm1OP/10nnvuuUK3//zzz2nZsiW1atWiQ4cO/Pnnn3nWDxs2jAYNGtCg\nQQOGDx9enkUXEQlKP/+cEwh07KhAQIpWowb8/e/Htxb88ENOa8GAAWotqCiioqKIiYkJaBk8GQxY\na//ADSt6GjDwmNWxQE1gurX2gL/L5nXTp09n7969fPLJJ7z44ovMmjUr3+127txJ165dGT16NHv2\n7KFt27Z069Yte31cXBxz585lxYoVrFixgnnz5hEXV+KBnYotK1lHvEn1522qP+enn3ICgWuvhblz\ngz8QUN0Fl3PPhQkT3BC006e7+ShSU12OwYUXutyCV191cxlYa+nRY4Ba2aXYgiYYMMbcYoyJN8bE\nA1mPkS/OF6FUAAAgAElEQVTLWpY5nGhu9wPbgYnGmHeNMWONMQtxE4v9Coz0W+FzsdYyevjoUn0Z\nS3qMWbNmERERkf2qVq0a0dHRRe+Y6R//+Afnn38+lSpV4qyzzuLmm2/mq9xzq+cyZ84cWrVqRdeu\nXalatSoxMTEkJSXx22+/ATBt2jSGDh1KkyZNaNKkCY888gjx8fHF+n1ERLxqxQoXCOzcCZ07w3vv\nBX8gIMGrenXXWrB4scs/yd1aMGCAay3o1OlTEhJ28fTT89m+HRQTiK+CJmfAGDMKN3vwsQXK6ga0\nzlp7+jH7NAOeBDoDJwCbgXeBWGttQcOOFqdMxR5N6IOED5jRZwY9p/bkr13/WqLzlsUxUlJSuOSS\nS3jooYfYvXs3Tz/9dL7bGWPYvXv3ccuttVxwwQXcd9999O/f/7j1DzzwAEeOHGHSpJwJoM877zye\nfPJJunTpQt26dfnss8+46KKLAPj+++/p0KEDycnJBZYjWP4tioiURlKSSxLetQuuuw7mzHE3cyJl\nKT3d5RbExMzg999nAm2Ap4DHgSSqVLmDM8/8O6eeCqeeCqedRp739euDCUgPdcmP5hkArLWxuC4+\nxdlnI9CnfErkZOUMFJU3EB8Xz/SJ02m8qjEDGMDrt77OUzxFBzrQkY4+neszPmMhC2lBCwYwgLdG\nvMX4J8bTc0hPeg/o7XOZMzIy6N69O9HR0fTr1w9w/feLI6v/2t13353v+rS0NE488cQ8y+rUqUNK\nSgoAqamp1KlTJ8+61PKaf11EJEgsX+4Cgd274frrXSBQrVqgSyUVUfXqcOed0KPHnfznPycQE7OY\n5GRDlSoZVKkyiP37r2XVKteSkJ/w8OMDhNw/65Z6pibxRVYCcSAFTTAQrHxN6rir/12cUP8EZt4+\nE4PBYulCFy7iIp/PdQ3XUJvarGAFBsPR9KM8NOahYrcOjBw5krS0NCZOnFis/bK8+OKLzJgxgyVL\nllClSpV8twkPDz/uKX9ycjIRmUMcHLs+OTmZcD9Oraixlr1N9edtoVp/y5a5QGDPHvjrX91TW68F\nAqFad15mjKF5c4O16Zxyym3s3t2UqVMNV19tWL8e1q6FdevcK+v92rUuz+Cnn9wrP3XqHB8g5H6v\nEY3KRtYD59jYYj0PL1MKBsqIMQZjDEcjjhLfPJ4jG44QOTWS6K6+99kHSEtIY1mfZcQ3j+fAhgPZ\nx/XVzJkzmTVrFt999x1hYWEAjBkzhrFjxxZY7tw37VOmTOHZZ59l8eLFNGnSpMDzREZGMm3atJxy\np6WxZs0aIiMjs9cvX76ctm3bApCUlESrVq18/j1ERLzkxx/dsKF79sCNN8I773gvEBDvWr16A1On\ndqZ+/ars3n2I1as30LWre7rfps3x21vr/q0eGyDkDhr27XMtXcuX53/O+vULDhZOOQVq1SqnX1bK\nXNDkDASj4uYMTBo7iVPPOpXr/3Y9H835iPWr13P/8PuLdc7SHGPZsmV06tSJBQsW0Ca/b38R3nzz\nTYYOHcqiRYto2bJlodvu3LmTM844gylTpnD99dczatQolixZwtKlSwE3mtDzzz/PggULAOjUqRND\nhgzJN/8AlDMgIt71ww8uENi7F266yQUCVasGulQiJWetS34vKFhYt87lLBTmxBMLDxaUR5NXIHMG\nFAwUoiQJxIEUGxvLU089RfVc37D27dvz4Ycf+rT/6aefzqZNm6ia63+xnj178tJLLwHQqlUrRo4c\nSffu3QE3z8CgQYNYv3497dq1Iz4+npNPPjl732HDhjF58mQA+vXrV2ASMwTvNRURKcz337v5A/bu\nhZtvhv/+V4GAVHwZGbB9e8FdkNavh8OHCz9Go0YFBwsnnxx63yMFA0FKMxD7T1lfU/V79TbVn7eF\nSv19950LBPbtgy5dYOZM79/AhErdVVTBUn8ZGbBlS8FdkP78E44eLXh/Y6Bp04KTm5s1gwJSGj0n\nGGYgVs5AEQI9K5yIiASf//3PBQLJyfC3v7lAoKLcnIiUVqVK7ma+aVO44orj1x854iZSKyhY2Lgx\n5/Xll8fvHxbmAoKCgoWmTd02XhAMCcRqGSiE17oJeZmuqYh4xbffQqdOLhDo2hXefluBgEhZOnwY\nNmzIvwvSunUukCjslqFyZdfVqKBgoXFjF7AEE3UTClIKBvxH11REvOCbb1wgkJICt90Gb76pQEDE\n3w4edF2N8mtVWLcOtm4tfP+qVV0Sc0HDpjZs6P8J2RQMBCkFA/6jnAHJTfXnbRW1/r7+Gq691gUC\nt98OM2ZUvECgotZdqFD9OQcOuCTmgoKFHTsK37969eMDhNzvGzQo+2BBMxAHMV9nIBYRkYrrq6+g\nc2dITYVu3VwgUFn/g4oEpRo1oGVL98pPamrhwcLu3fDLL+6Vn1q1Cg8W6tXzPVgIhhmI1TJQCLUM\n+I+uqYgEqy+/hOuuczcQd9wB06crEBCpyJKTC85XWLvWrS9M7doF5yuceqqb3Tk3ay2VKlVSN6Fg\npGDAf3RNRSQYLVniAoG0NOjRA6ZNUyAgEuqOnb352GAhLa3w/evVyxss7NnzCVOnXqdgIBgVFgxI\n2VPOgGRR/XlbRam/xYvh+uvdf+x33ukCAa8MV1hSFaXuQpXqL/CshV27Cg4W1q1zOQ3ODGAm0AYY\no5wBL1EAJSJSsX3xBfz1ry4Q6NkTpk6t+IGAiJSeMS7BuEEDaNv2+PXWutmb162DP/64k3nzTuD9\n9xcX2ZpQntQyUIiCWgZERKTiSkx0gcD+/dCrF0yZokBARMpHQsIn9OnzKSkp/1E3oWBkjMn34hR0\nzQrqPqTttb221/ba3hvbL1rkAoEDB4KjPNpe22v7ir392LGvcdZZJ3PrrZ0DFgwE2fxrIiIEfJg1\nKR2v1t/ChVmBQKBLIlIyXv3uhbJLLz2Tn376OqBlUDBQBGvtca/ibKvtA7P9okWLgqo82l7ba/vg\n3v7zz3MCgT594OhRb5W/rLbP/bczGMqj7bV9Rd8+KiqKmJiYAvf1B3UTKoRyBkREKr4FC+DGGyE9\nHfr2hbg4qKRHZSLiR4GcgVh/7kREJGTNn58TCPTrp0BAREKP/uRJhaR+k96m+vM2r9Tfp5/CTTe5\nQKB/f3jlFQUCXqk7yZ/qT0oixP/siYhIKPrkE7j5Zjh4EO69F15+WYGAiIQm5QwUQjkDIiIVz8cf\nwy23wKFDcN99MGmSmyhIRCRQlDMgIiLiBx99lBMIDByoQEBERMFAEWJiYtQHz4NUZ96m+vO2YK2/\nDz6ALl1cIDBoELzwggKBYwVr3YlvVH/ek5iYGPChRRUMFCEmJoaoqKhAF0NEREph3jz4299cIDBk\nCEycqEBARAJP8wwEOeUMiIh43/vvw623wuHD8MADMGGCAgERCS7KGRARESkHc+fmBAIPPaRAQETk\nWAoGpEJSv0lvU/15W7DU37vv5gQCDz8M//63AoGiBEvdScmo/qQkFAyIiEiFM2cO3H47HDkCQ4fC\nc88pEJCKzVrL26++iro3S3EpZ6AQyhkQEfGe2bOhWzc4ehT+8Q945hkFAlLxfZKQwKd9+tB56lSu\n7do10MWRYlLOgIiISBl4552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334WuXV3rwFtv4a+oOCB/O5OSXECwezfcfDO88w5UUXe4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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4c70f72590>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp\n",
"from numpy import log10, loadtxt\n",
"from src.analytic import Ee, Delta, pi\n",
"\n",
"ax = figure(figsize=(12,9)).add_subplot(111) \n",
"\n",
"theta_mean = loadtxt(\"Results/theta_mean_vs_EGMF-bis.dat\")\n",
"Redshifts = theta_mean[1:,0]\n",
"B = theta_mean[0,1:]\n",
"\n",
"i=1\n",
"for z in Redshifts: \n",
" ax.plot(B,theta_mean[i,1:],'-*',linewidth=2,label=\"z=%1.2f\"%z) \n",
" i+=1\n",
"\n",
"ax.axhline(y=0.5,color=\"k\",linewidth=2,linestyle=\"--\")\n",
" \n",
"ax.set_xscale('log') \n",
"ax.set_yscale('log')\n",
"#ax.set_ylim([0.8e-3,20])\n",
"ax.grid(b=True,which='major')\n",
"ax.legend(loc=\"best\")\n",
"ax.set_xlabel(\"B [Gauss]\",fontsize=\"x-large\")\n",
"ax.set_ylabel(\"average arrival angle [degre]\",fontsize=\"x-large\")\n",
"\n",
"show()"
]
},
{
"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": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}