diff --git a/CCL_CAMB_Compare.ipynb b/CCL_CAMB_Compare.ipynb new file mode 100644 index 00000000..12e2d333 --- /dev/null +++ b/CCL_CAMB_Compare.ipynb @@ -0,0 +1,511 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "8695686a-5adb-4bd1-b537-e7963c78ff7b", + "metadata": {}, + "source": [ + "Check power spectrum with different neutrino mass\n", + "\n", + "Fixing Omega_m (ensures that k<0.02 does not change in amplitude)\n", + "\n", + "Comparision with CAMB" + ] + }, + { + "cell_type": "markdown", + "id": "99c0c258-f6f5-469c-be80-323a005cc49f", + "metadata": {}, + "source": [] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "2f847827-167c-4c75-b0c0-f5d7ec7b3be1", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "import sys, platform, os\n", + "import matplotlib\n", + "from matplotlib import pyplot as plt\n", + "import numpy as np\n", + "import camb\n", + "from camb import model, initialpower\n", + "import sys\n", + "sys.path.append('./')\n", + "from neutrino_test import *" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "49a3cd81-9b21-4789-90cc-07a8409df857", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "sigma8:\n", + "[0.8225]\n", + "sigma8:\n", + "[0.8225]\n" + ] + }, + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'CAMB, fixing sigma8')" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "k_camb,pk_camb = Pk_camb()\n", + "k_camb,pk2_camb = Pk_camb(mnu = 0.3)\n", + "\n", + "plt.loglog(k_camb, pk2_camb[0,:], color='r', ls = '-',label = 'nu=0.3')\n", + "plt.loglog(k_camb, pk_camb[0,:], color='b', ls = '-',label = 'nu=0.')\n", + "plt.legend()\n", + "plt.ylabel('$PK$')\n", + "plt.xlabel(r'$k\\, [h \\,\\rm{Mpc}^{-1}]$')\n", + "plt.title('CAMB, fixing sigma8')" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "340e249e-a8ce-47e7-b585-48f0cc95e17f", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'CCL, fixing sigma8')" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "k,pk_ccl = Pk_ccl()\n", + "k,pk2_ccl = Pk_ccl(mnu = 0.3)\n", + "\n", + "plt.loglog(k, pk2_ccl, color='r', ls = '-',label = 'nu=0.3')\n", + "plt.loglog(k, pk_ccl, color='b', ls = '-',label = 'nu=0.')\n", + "plt.legend()\n", + "plt.ylabel('$PK$')\n", + "plt.xlabel(r'$k\\, [h \\,\\rm{Mpc}^{-1}]$')\n", + "plt.title('CCL, fixing sigma8')" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "6b30bf8c-62a5-4d8c-942f-6fd65e57d0c1", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#can not make CCL and camb match when I fix sigm8\n", + "\n", + "plt.loglog(k, pk_ccl, color='r', ls = '-',label = 'CCL')\n", + "plt.loglog(k_camb, pk_camb[0,:], color='b', ls = '-',label = 'CAMB')\n", + "plt.title('nu=0 sigma8 fixed')\n", + "plt.legend()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "048f05f7-9f83-4272-98a6-8715ba6b22d5", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "sigma8:\n", + "[0.51322095]\n", + "sigma8:\n", + "[0.47007233]\n" + ] + }, + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'CAMB, fixing As')" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "k_camb,pk_camb = Pk_camb(mode = \"As\")\n", + "k_camb,pk2_camb = Pk_camb(mode = \"As\",mnu = 0.3)\n", + "\n", + "plt.loglog(k_camb, pk2_camb[0,:], color='r', ls = '-',label = 'nu=0.3')\n", + "plt.loglog(k_camb, pk_camb[0,:], color='b', ls = '-',label = 'nu=0.')\n", + "plt.legend()\n", + "plt.ylabel('$PK$')\n", + "plt.xlabel(r'$k\\, [h \\,\\rm{Mpc}^{-1}]$')\n", + "plt.title('CAMB, fixing As')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "3aecabd9-4a00-41be-98cb-f4aa158f06e4", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'CCL, fixing As')" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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mHS5dglSp4nx6iRIlGDRoEAD58+dn/PjxrFixIs5BJzg4+L7Hby3eB2YF6diGlERERHDmzJn7rmL84osvsmjRIq5evUq9evWYNm1anOp7FLYHnUuXLrF///7oz0NCQggODiZ9+vTkzJmTHj160LJlS8qWLUulSpWYMmUKhw4domPHjjZWLSJJ7c8/YcIE+PLLmOHmscegfn3zql4dfH3j/7UDAqBCBfO65fhxE6S+/RaWLIHVq83rscegf39o1w68vR/xhxJJICVKlIjxebZs2aLbJ8RFvnz54vX9YhtSEtv+/xo9ejSDBg1i79699O3blx49ejBx4sR4fe/4sj3obN68mRo1akR/fmugcOvWrZk5cyYvvPACZ8+e5b333uP48eMUK1aMn376iVy5cj3S950wYQITJkwgMjLykb6OiCSeGzdg/nwTcH777fb+woXh+edNuCldGhyREbBjB8zfDUeOwOHDtz+ePw8eHjFfmTND7tyQJ495FS5sbv943f4rMVs2aNPGvA4fhunTYepUOHoUXn8dPvrI3Ol56aV4PWEQZ+LnZ+6s2PW94+G/j4scDgdRUVF4eJjJ1beCCMS+ynB8Hl1lzZo11iElXl5eD2yfkTVrVrJmzUqhQoXIkCEDVatWZcCAAY/Uy+pBbA861atXj3EBYtOpUyc6deqUoN+3c+fOdO7cmbCwMAICAhL0a4vIowkNhbFjYeJEOHnS7PP0hEaNoHNnqFYqFMfG32HhOui1HjZujN8vpF277t6XJg1UqWJuC9WpA8WLRx8KDIR334U+fUzYGToUQkKgZUsTgCZP1hgel+RwxOvxUXKU6eaI+uPHj1O6dGkg9sdU8Xl0ValSJb7//vsYx5ctW0bZsmXjND7nllu/++9c2y4x2B50RERuuXbNhJsPPjDTwQGyZjVjY15rcpbH1n8D786FNWvMQNE7BQSYuzI5c0KOHCad5MgBt/6FGRkJUVEQEQEnTpikcvAg/PMPbN1q0tWSJeb1zjtQsiS0amVu2dwcj+DjA126mMdWY8fC+++bx1klSsCAAdC7d4ybQiK2S5kyJRUrVmT48OHkzp2bM2fO0L9//7vOi8+jq44dOzJ+/Hh69OhB+/bt2bBhA9OnT2fOnDnR5yxYsIA+ffqwZ88eAH766SdOnjxJuXLlSJ06Nbt27aJXr148/vjj5M6d+5F/zvuy3FxoaKgFWKGhoXaXIuK2wsMta9o0y8qRw7JMgrGsQoUsa/bUS9b1qbMsq3Zty/L0vH0QLCtvXstq2dKyJk2yrD//tKzIyIcvICLCsrZutayPP7as556zLG/v29/H09OyXnrJsnbuvOtt//xjWc88c/vUJ56wrMOHH+E/hNjm6tWr1q5du6yrV6/aXUq8VatWzXrjjTdi7GvQoIHVunVry7Isa9euXVbFihWtlClTWqVKlbKWLVtmAdaqVase+nuuXr3aKl26tOXt7W3lzp3bmjRpUozjn332mXVnxFi5cqVVqVIlKyAgwPL19bXy589vvfPOO9b58+fv+33ud13i+vvbYVkPeG7k4m49ugoNDcXf39/uckTcimWZMTj9+sHevWZfjhwwuNV+Wu3ui9ePi8xAnVuCgqB5c2jWDB5xnN59nTsHX38Nn38OGzaYfQ4HNGkCAwfGeKxlWWaAdKdO5ulZ+vTmbc8+m3jlScK7du0aISEh0Q2kJXm433WJ6+/vZN0CQkRc14YNZmG+pk1NyMmQwWJUu538nfMp2n2QH68F35iQU6SIeUa0bx9s3gw9eyZuyAGTVjp2hPXrYcsWMzjIsswUrNKloXt386gLk39atjRPv8qUMRmpXj0YMeLup2sikvQUdEQkSV28CN26weOPm9ySKpXFwPrB/JOxAj1mFMN3/UqzIE67dmYxm507zXzuOK4HkuDKlDG3nXbsMIvoREaaAToFC8Ls2dFpJn9+k4tee83s6tXL/AiJPM5SRB5AQUdEksySJVCsGHzyiQkDbcr+xT+pSzJ4cWn8924Cf3+TEA4eNNOZSpa0u+TbihWD776DZcugQAEzHeyll+DFF+HCBcAMVp48GcaNM7PYZ840d3fsmqEsIm4cdCZMmECRIkUoV66c3aWIuLzTp00mqFvX9J7Kk+kSyzK8yGebi5P55A7Int0sTHPoEHz4ofk8uapZ06xe+N57Zs77vHkmkK1dC5hHWV27wk8/mZnJy5fD00+bR1oikvTcNuh07tyZXbt2sWnTJrtLEXFZtwbqFi5snvJ4eFi8lX02O05noebZuWaxvhkzzFTvt982U8SdgY+PmU++fj38738moNWoYebG33yUVbs2rFhhhvts3AjVqpnAJyJJy22DjogkroMHzbp7LVuaNXFKpD/M71EVGHnsJVL5YVbd27UL2rZ13l4K5cubVuktWpixO507m2WTb84Uq1DBLPmTLZvpofXUUwo7IklNQUdEEtwXX5ghLUuXgo9XBEN93mPzubyUY5N5hrVvH/Tt+3CNqZKbNGnMbauPPjLPrT791CS8sDDANBldtcqEnR07TNjRYyyRpKOgIyIJ5soVeOUVs6Dw5ctQNeUmtkcUpe/1QaQoWwrWrTOh4LHH7C41YTkc5tHbDz+Y4LNypXmUdbOpYsGCJuxkzWrCTr16MRuTikjiUdARkQSxZ495VDNjBjiIYjADWXW1IgWzhJqdGzdC5cp2l5m46tY1iSZTJrOwTtWqZvwOJuz88gukTWuG9rzwgulGISKJS0FHRB7Z7NlQtqwZh5LF4zS/8DQDPYbi2aO7eUzVtq2Zb+0OgoJMq/WcOc3PXqOG6aSOeYz1/ffmid0PP9xec0dEEo+b/M0jIonh6lXzy/qll8yjqhqsJDiqOE/m/deMwh01yqyN424KFDBhJ29e0zS0enU4ehQwDdLnzTO577PPTPsLEWfz66+/EhQUhK+vL3nz5mXy5Ml2l3RPbht0tI6OyKPZtw8qVYKpU82jqoEMZjk1yfrKc2ZF48cft7tEewUGmsdYefLAgQNmFPLNluz168OUKea0YcPMAooiziIkJIS6detStWpVtm3bRt++fenWrRvfffed3aXFLq6dSl2VupeLxN/cuZaVOnWUBZaViZPWMp62rIwZLWvBArtLS34OHrSswEDT3rxSJcu6ciX60JAhZreHh2UtWWJjjeL03cu7du1qvf3221a6dOmsLFmyWIMGDbIsy7JCQkIswNq2bVv0+efPn3+k7uW9evWyChUqFGNfhw4drIoVKz7kT3BvCdG93G3v6IhI/F27Zrp0N28Oly45eIJfCaYUNZ/zNQN0Gja0u8TkJ1cu+PlnMwp5w4bba+5gZti3awdRUWZw8q5d9pYqMVmWeSRrxyu+Y7dmzZpFqlSp2LhxIx999BHvvfcey5cvj/P7U6dOfd9XnTp1os/dsGEDtWrVivH+2rVrs3nzZsLDw+NXeBLwsrsAEXEOx49D/foWmzc7AOjLUAan/BCvMSOhfXszxVpiV6QILF5s2kcsXGi6mo4fj8PhYNIk+Ptv00GiXj0zOS1jRrsLFjBLAKRObc/3vnTJtBCJqxIlSjBo0CAA8ufPz/jx41mxYgX549gMNzg4+L7HU6ZMGb194sQJsmTJEuN4lixZiIiI4MyZM2TLli3uhScBBR0ReaAdO+DZulEcPuJBBs7wJS/zTIUL8OVWyJfP7vKcQ9Wq8NVX0KyZaRWRIwf06YO3t+kVWqGCGbfctKnpG+qsi0WLPUqUKBHj82zZsnHq5jpOcZEvnn+OHf/5h4118xbUf/cnBwo6InJfv/wCTRpHEXbRgwLs5SePevzv3ZbQpw946a+QeGnSBMaONXd0+vY1U9BfeolMmcy080qV4NdfTSeJKVN0k8xufn72dZ7384vf+SlSpIjxucPhICoqCo+byzpYdzwLi+3xUuoH3LqqWrUqS5YsASBr1qycOHEixvFTp07h5eVFhgwZ4ld4EtDfUiJyTzNmQIfXooiI9KAqa1iY4VXSL5xh5kjLw+naFQ4fhhEj4NVXzUqCZctStCjMnWseX02bBqVLm/FQYh+HI36Pj5KjTJkyAXD8+HFKly4NxP6YKj6PripVqsT3338f4/iyZcsoW7bsXYErOdBgZBG5i2VB//6mnUNEpAct+IrlJXqSfusvCjkJYfhweO45M7q7USM4eRIwCysPH25OeeMNWL3avhLFNaRMmZKKFSsyfPhwdu3axZo1a+jfv/9d5+XLl+++r8fuaNvSsWNH/v33X3r06MHu3buZMWMG06dPp2fPntHnLFiwgEKFCiXJz/ggCjoiEsP16/ByiyiGDjWf9+d9vmy6CJ/1q8yjFnl0Hh6m51fBgmbV5CZNojue9+wJL75o2kM0awb//mtzreL0ZsyYQXh4OGXLluWNN95gyJAhj/T18uTJw08//cTq1aspVaoU77//PuPGjaNJkybR54SGhrJ3795HLT1BOCzLvRcgDwsLIyAggNDQUPzdcQVXkTucPQuNngtn7e8p8CKcT+lAu/fzmuV7NWAk4e3dC+XLm07nHTrAzdVlr1wxY5e3boVSpcwiy87+CCW5u3btGiEhIeTJkwdfX1+7y5Gb7ndd4vr7223v6GhlZJGYDhyAymWvs/b3FPgTyhLfRrSbX888w1LISRwFC8KcOea/76efmhdmIOqCBZA5s1lk+pVX1BNL5GG5bdDp3Lkzu3btYtOmTXaXImK7DRugYpnr7DvoQyCHWJf9eZ7+Y5gZPyKJq25dop8Tdu1qFtLBPCX87jtIkcL0xvrwQxtrFHFibht0RMT47luLJ58I50yYD2XYwu+VelBs+1dQvLjdpbmP3r3NOJ3wcLOQzs31T6pUud0Hq29f+PFHG2sUcVIKOiJuyrJg5Ac3aNbM4lpECp7lB35t/xXZf52jpXmTmsNh5vLfGpx8azQyZuhOx47merVoAXv22FyriJNR0BFxQxER0Ln1Jd7u542FB50dE1k4/iipp3xsnpVI0vP3h/nzzajjlSthwIDoQ2PHmsHJYWHQoAFcuGBfma7OzefnJDsJcT0UdETczI0b8PzT55j0RWocRPFxqv58srIoXp072F2aFCkC06eb7eHDzYhkTDuIb7+FwEDYtw9eeim6L6gkkFsL3V25csXmSuROt67HoyxEqJWRRdzI9evQtPoZfvg9Iz5cY3auvjRe3Q1y57a7NLnlhRfMgOTRo6F1ayhaFAoUIHNm0w/08cfhp5/MsJ4RI+wu1nV4enqSNm3a6P5Qfn5+ybJvk7uwLIsrV65w6tQp0qZNi6en50N/La2jo3V0xE1cvQqNq57i5y2Z8eUqi8q8R61f+9nXnlnuLTwcnnzSLKBTtKgJPjcX0pkzx4zVARg3zkzUkoRhWRYnTpzggp4NJhtp06Yla9assYbOuP7+VtBR0BE3cOUKNKh4kl92ZCElV/i+8nCeWtEXtDBa8nX8OJQpAydOmMHJX30VvZ7RBx/cXsPxm2/MhC1JOJGRkbE2vpSklSJFivveyYnr7289uhJxcZcvQ72yx1m1JxupuMSPT42m2pIBGnSc3GXLZlJMjRrmNk6lStG3b/r0MX1BJ08243UyZzaDlSVheHp6PtKjEkleNBhZxIVdvAh1Sh5j1Z5spOYiPz83gWpL+yrkOIsqVWDkSLPdowesWweYOznjx5sZWNevm/6gW7bYWKdIMua2QUctIMTVhYXBM8WPsPZAdvwJZfkL06myuBfoX6rOpVs3M0D5VpfPEycAcxlnz7497bxWLdixw+ZaRZIhjdHRGB1xQRfOWzxT/AgbjwaSlvMse2Ue5aZ2UM8qZ3XpElSoALt2wRNPwC+/RN+VuxVyNm40j7B+/RUKFbK5XpEkoKaeIm7q3FmLmoUPs/FoIOk5y4puiyk3raNCjjNLndosJpgmDaxZYwbp3OTvD0uWmC7np05B9eq6syNyJwUdERdy9lQkTxU8zOaTOcnIaVb2+YUyY1vbXZYkhIIFYeZMsz1qlBmofFO6dLB8OZQsCSdPQrVq0b1BRdyego6Iizh9LJwaBY4SfDYnmTnJqiHrKfnBC3aXJQmpcWPo1ctst2sHu3dHH8qYEVatMpOzzp+Hp5+G1avtKVMkOVHQEXEBJ/+9Ro1Cx9gRmpOsHGf1x9so1q+B3WVJYhg61Ew5v3TJBJ+wsOhD6dLBsmXw1FPm8DPPwA8/2FirSDKgoCPi5I4fuEL1IqfYeTEX2TnK6sl7KfzmM3aXJYnFywvmzoXHHjOtzBs3Ng3Mbkqd2oSbW1PPGzaESZPsK1fEbgo6Ik7syK4wqhU7y54rOQl0HObXLw5TsEN1u8uSxJY5MyxebFLNihXQpg1ERUUf9vU1Q3jatjXNPzt1grfeUiNQcU8KOiJO6lDwOaqVDuPva4Hkchzi129Ok+/linaXJUmlTBkzE8vLy6ycfGvszk0pUphG6EOHms8//hiaNjUrZYu4EwUdESd08I9TVCt/hX9u5CCvRwi/fh9GniZl7C5LklrNmvDZZ2Z71KjbqeYmhwP69jU5yMfHdD9/4gk4ciTpSxWxi4KOiJM5sOYoTzwewcHwHOTzDOHXXyLI9Wwxu8sSu7z88u02Ef37w4gRd53SvDmsXGlmZm3dCuXLwx9/JHGdIjZR0BFxIvuWHaTakx4cjshOQa8D/LrWgxw18ttdltjtrbfg/ffNdq9eMHbsXadUrmzCTbFipjF69erw889JW6aIHRR0RJzEnsX7qF7Hl6OR2Sji/TerN6Yke6VcdpclyUX//uYF0L17rHd28uQxfUHr1IGrV6F+ffjuu6QtUySpKeiIOIFDa//l6UapOR6VleK++1i1NS1Zy2S3uyxJbt5773Z7iF69TPD5TztDf38zVuf55yE83Hz84oukL1Ukqbht0FH3cnEWZ/46Qa2nIjgalZ3CPgdY+WcmMhfNZHdZkhw5HPDBBzBsmPl86FDT/fyOqecA3t6m83nbtuZQq1Ywa5YN9YokAXUvV/dyScYuHbnAkwWOsOlqMQI9j7H+Dy9ylMlsd1niDCZOhM6dzXarVjBtWnTH81uiouCNN2D8ePD0NEvz1K1rQ60iD0Hdy0Wc3I3QqzQpvo9NV4uR3nGOpT9GKORI3HXqZJ5JeXrC55/Ds89CaGiMUzw8zLjlli3NYoLNmmk2lrgeBR2RZCjqRgRtiv7Bsgvl8eMyP31+lsK1c9pdljibl182A3L8/Ex78ypV4NChGKd4eJiFBWvXhitXTEeJU6fsKVckMSjoiCQzVmQUb5ZayZyj1fAinO9GhFDhZU0hl4f03HOwdi1kywZ//QUVKsDmzTFOSZHCtIwoWBCOHoUXX1S7CHEdCjoiyYllMaz6z4zbXQuAmT128ExPLQYoj6hMGdi4EYoXhxMnzCI6K1bEOCVNGtNRIlUqs7jg4MH2lCqS0BR0RJKRac2W0u83Mxp09It/8NIotXWQBBIYCL/9Bk8/bRpe1a0LixbFOKVIEZgyxWx/8MFdN35EnJKCjkgysbDLL3T4riYAvWtspPvs8jZXJC7H3x9++MEMxLlxA5o0uWsRnRYtzNo6kZGmKfr16/aUKpJQFHREkoE1Q9fSfEIVovCkXfFNfLCigt0liavy8YF580yKiYw0U89nzIhxyvjxkCkT7Nxp7uyIODMFHRGbbZ+2ifr9i3MdXxrk3ManW8ricNhdlbg0Ly8z1apbN/N5+/bw7bfRhzNlggkTzPaHH8I//9hQo0gCUdARsdE/3+/kmdcCCSUtVTPsZM5fxfFKoZQjScDDA8aMgVdfNSsHtmgBv/wSfbhpU3jqKfPo6q237CtT5FEp6IjY5NTv/1C7UUpOWFkpnuoAi//6HynTeNldlrgThwMmT47Z+OrAgehDY8ea9QYXLjTL8Ig4IwUdERuE7T1OnWqX2R+Zl9zeR/l5cybSZvW1uyxxR7dWTq5QAc6fhwYN4OJFAIoWhS5dzGnvvHNXyywRp6CgI5LErp84T6OgQ2y9UZxMHmdZttqH7IXUZ01s5ONjFtHJls2MQO7QIfpQv36QOjVs2wbffWdjjSIPSUFHJAlFXrzCy8WCWXm5Aqkdl1gy/yr5K2W0uywRyJ7dJBlPT5gzB+bOBczA5FtjdAYMgIgIG2sUeQgKOiJJxLoRTtdiq/j2bA1ScIMFk08R1CCH3WWJ3FapkrmFA/D666YfBNCjB2TIAHv3wuzZNtYn8hAUdESSQlQU75X7nkmHnsVBFF8O/oenX8trd1Uid+vfH8qWhQsXoGNHwKwz2LOnOTx8uMbqiHNR0BFJbJbF5Jrf8e6fjQEY//ounh9YyOaiRO4hRQqYNcustfPDD+aFucETEAC7d8PixTbXKBIPbht0JkyYQJEiRShXrpzdpYiL+/alBXRa2QSAgQ2202mimnRKMlekiHleBfDGG3DtGgEB0Lmz2fXBB2BZ9pUnEh8Oy3Lv/13DwsIICAggNDQUf3/NfJGEtfKtH6nz8dPcwIcOlbYzaV1JrXoszuHSJShUyIzTGTIE+vXj1CnInRuuXjXr6jz9tN1FijuL6+9vt72jI5LYto5cSYOPn+AGPjQpuIMJaxVyxImkTg0jRpjtjz6CM2fInNl0iwAYNsy+0kTiQ0FHJBHs//J36rxdlEukoUa2PXy5rRiennZXJRJPL7wApUpBWJgZhYyZau7pCStXwvbt9pYnEhcKOiIJ7PjSP6nVKgunyELpgH9Y+Fc+fFPqVo44IQ+P27duxo+Hw4fJmdP0wQLTIkIkuVPQEUlAoVv2U+dZD0KsPPwv5VGWbM+Of3r1rxInVrs2VKtmunt+9BEAb75pDn31FZw8aWNtInGgoCOSQK4dOEr9x8+yPbIYWbzOsGyDP1lyqX+VODmHwyyJDDBtGpw6RYUKULEi3LhheoKKJGcKOiIJIOLUOV4svYc11yvg73GRn5d6kLdkGrvLEkkYTz4J5crBtWvRz6u6dzeHJk40N3tEkisFHZFHZF2+wuvFf2Phxafw4RqLv7pEqSfT212WSMJxOKBPH7M9YQKEhdG4MeTIAadORbfFEkmWFHREHkV4OANKLmbaqfp4EMmcMSep1jyb3VWJJLwGDaBwYQgNhUmTSJECunQxh8aM0QKCknwp6Ig8rKgoxlWaw9ADzQGY/E4Ijd7IZXNRIonEwwPeecdsjx4N16/Tvj2kTAnBwbBmja3VidyTgo7Iw7As5jz7JW9saQXAkJZ7aT88n81FiSSyFi3M86qTJ2HePNKnh9atzaExY2ytTOSeFHREHsKytnNo/bO5k9O11h76zipoc0UiSSBFCujUyWyPGweWRbdu5tNFi+Cff+wrTeReFHRE4umP3vNpPKs+4XjTvPRexiwppNYO4j7atwdfX9iyBdavp3BheOYZM0ZHCwhKcqSgIxIPe8f+TN0Pn+AyqamZ529m/V4QD/0pEneSMSO89JLZHjcOuL2A4PTpcO6cTXWJ3IP+ihaJo2Pzf6dW98KcJSPlMoXwXXA+vL3trkrEBl27mo/ffQdHjlCzpmmJdfmyWVdHJDlR0BGJg6u7D9LgeR8OkYsCqY/y4585SeOv51XipkqWNG0hIiNh4kQcDujVyxwaNw6uXrW3PJE7KeiIPIAVdpFXKu1ic2RpMnheYMnv6cmUVa3Ixc298Yb5OGUKXL1Ks2aQOzecPg0zZ9pZmEhMCjoi9xMVxbCKi5gTWhcvwvl2Tjh5i6a0uyoR+9WrB7lywdmzMHs2Xl7w1lvm0MiREBFhb3kityjoiNzHohdm02/3ywCMf+cI1ZtlsrkikWTCyws6dzbbN6eat20LGTKYaebffWdveSK3KOiI3MOO4T/y0rcNAej89F46DM9jb0Eiyc2rr4KfH/z5J6xZQ6pUt8cpv/eeGcIjYjcFHZFYnF62jfp9i3KZ1DyV629G/6QFAUXuki4dtGxptm8uovPGG2b3rl3w+ec21iZyk4KOyH/cOHiMJvWuc9DKTT6/Y3y9KS8pUthdlUgydesWzqJFcPAgadNC375m16BBcO2abZWJAAo6IjFYV67SpfxG1t6oiL/HRRav9id9Js2wErmnokXh6achKgomTABMV/PAQDh8GMaPt7k+cXsKOiK3WBbjn/iaqacb4UEkc6deonC51HZXJZL83Wp4NW0aXL6Mry8MHmx2vfeeCTwidnHboDNhwgSKFClCuXLl7C5Fkonlr86j+xYzw+qjDv9Qp102mysScRLPPgv/+x9cuABffAGYruaVKsHFi6YPqGXZW6K4L4dluff/fmFhYQQEBBAaGoq/v7/d5YhN9k1eSYXXS3OBdLSpuJsZ6wurUadIfIwZY5peFS4MO3eCw8GuXaY1RHg4zJ0LL7xgd5HiSuL6+9tt7+iI3HJh/S7qd8rBBdJRKcsBJq9WyBGJt7ZtIXVq2L0bliwBoEgR6NfPHH79dTh40L7yxH0p6IhbizhxhuZPn2avVYBAn5Ms2JwTHx+7qxJxQgEB0KGD2R4yJPpZVZ8+UKECnD8PTZtqFpYkPQUdcV/h4fQqt4qlV6vh57jCop+8yZJD88hFHtpbb4GPD2zYAKtXA+DtDV9/bVZM3rLF3Nlx7wETktQUdMRtzag1h9FHmgEwa9RZSj+ZzuaKRJxctmxmtWQwd3VuypkTZs8GDw/T8HPQIHvKE/ekoCNu6bce8+m4ujkA7764l6ZvBtpckYiL6NXL9MFauRJ++y16d61aMGmS2X7/ffj0U5vqE7ejoCNu598562k8ugrheNO02B4GfKn2DiIJJmdOMzAZoGdPs5DgTa+9dvtuTqdOZjFlkcSmoCNu5dKf/9CgZRpOk5lS6Q4yc0NBPPSnQCRhDR4MqVLBxo1mXvkdBg0yT7eiouDFF+H3322qUdyG/ooXtxF1IYxWVQ6wPbI4WbzOsuj3rKRKrXnkIgkuWzYz3Qqgd2+4ciX6kMNhHmHVrQtXr0K9evD33zbVKW5BQUfcQ2Qk75b7kQUXa+LNdRZ8F0XOAr52VyXiunr0MI+xDh82fSDu4OUF8+ZB2bJw5oymnUviUtARt/B147m8v/9FAKYMPEql+plsrkjExaVMCePGme0RI2IMTAaztuDixZApE/z5p5mZLpIYFHTE5W1570faLG4EQM9nd9F6cF6bKxJxEw0aQJs2ZkBOq1am8dUdsmWDzz832xMnwrJlSV+iuD4FHXFpx3/cSoNBJbmKH3X/t4fhi4rYXZKIexk7FnLlgpCQ26HnDs88c7v5edeucP160pcork1BR1zWtf1HaNTI4ig5KJz6MLM3FcDT0+6qRNyMvz/MmWOWSJ4/HwYMuOuU996DLFlg3z4YPdqGGsWlKeiIS7IuX+G1CtvZGB5EOs9QFq9NR0A6/e8uYotKlWDqVLP9wQcwY0aMwwEBZhgPwNChcO5cEtcnLk1/84vrsSxGPL6QL849iycRfDvrCvlKpba7KhH31qoV9O1rtl97DX74Icbhl1+GkiXh0iUYMybpyxPXpaAjLueHVl/Te7tp7zD2jRCefCmbzRWJCGD6X7VuDZGR8PzzpvnnTQ7H7adaY8fChQv2lCiuR0FHXMrOcSto8WUdLDzoUHUXnUbnt7skEbnF4TCPsG6tFvjcc7B7d/ThRo2gWDEIC4MJE2ysU1yKgo64jLNrdlK/ex4u4k/1x/bxyYoiOLTwsUjykiIFfP01VKhgBuPUrg1HjgCmu/k775jTJk2CiAgb6xSXoaAjLiH82Gma1grjHysveXyP8c2mPKRIYXdVIhKrVKnMGJ2CBc3Kyc2bR6eaZs0gc2Y4elRNPyVhKOiI87txgzfK/sbq65VI7bjE9ytSkTGbUo5IspYxI/z0E6RJA+vWwfDhAPj4mLHKAOPH21ifuAwFHXFulsXEJ79h0vFGOIhi9ifnKFo5wO6qRCQu8ua9PRjn3XchOBiADh3A0xNWr4YdO+wqTlyFgo44tZXdFtJt3QsADGuzj3qdc9pckYjEy8svm66ekZHQvTtYFjlymIHJYMbqiDwKBR1xWvtnraPp+GpE4sXLZXbSa0Yhu0sSkfhyOGDkSPD1hV9/hYULAXj9dXP4yy/h8mX7yhPnp6AjTil06wHqt8vAedJTPsMBpv6mGVYiTitXLujZ02z36gUREVSvDvnymT6g8+bZWp04OQUdcTqR50Jp8cQRdkcV4jHvUyzc9Bi+KZVyRJzaO+9Ahgywfz98+y0eHtC+vTk0ZYq9pYlzU9AR5xIZSZ+yy/jpcjV8ucbCRR5ky+Nrd1Ui8qhSp77dxnz4cLAsWrcGLy/YuBH+/NPe8sR5KeiIU5n13DeMCGkGwMwPjlH2mYw2VyQiCaZLFxN4tm+Hn38mSxZo2NAcutUTVCS+FHTEaWwY8BOv/WymYvRvtJMX+uS1uSIRSVDp099+XnVzEZ1ba+p88QVcuWJTXeLUFHTEKRxesJlGQ8pwAx8aFdzF4G+L2l2SiCSGW9OtliyBgwd56inIkwdCQ+Gbb+wtTZyTgo4ke5f3HqHB896cJCsl/A/y+R+F8ND/uSKuKX9+ePppsCyYOlWDkuWR6deFJGvWpcu0rbiLbRElyOR5jsUbMpHaX//biri0jh3Nx+nTITyctm3NoOT16+Gvv+wtTZyPfmNI8mVZvF/xB765UIsU3GD+nOvkKpLK7qpEJLHVrw9Zs8LJk7BwIVmzml2gQckSfwo6kmx99+I3DNpp2jtM6nWQKs2y2VyRiCSJFCnglVfM9rRpwO1ByZ9/Dlev2lSXOCUFHUmWgkf+Qqt5zwLQ/ekdvPJhAZsrEpEk1a6d+bh8ORw6RM2aZgHlCxfg229trUycjIKOJDsnV/xF/V4FuUIqaufczYglxe0uSUSSWt68UKOGGZQ8c6YGJctDU9CRZOX64VM0rnuNw1YgBfwOM3dLfry87K5KRGxx6/HVZ59BVBRt24KnJ/z2G+zaZW9p4jycPuhcvHiRcuXKUapUKYoXL85UjVRzWta163Qsu4n1N8qS1iOU71f7kzajUo6I22rcGAIC4OBBWLWK7NmhXj1zaMIEWysTJ+L0QcfPz49ff/2V4OBgNm7cyLBhwzh79qzdZUl8WRajqy1k5qln8SCSeVNCKVAuwO6qRMROKVNCixZme/p04HY7rGnT4NAhm+oSp+L0QcfT0xM/Pz8Arl27RmRkJJZl2VyVxNeSjot4+4+mAHzcYR+1Xslpc0Uikizcenw1fz6cP0+NGlC9Oty4AUOG2FqZOAnbg86aNWuoV68e2bNnx+FwsHDhwrvOmThxInny5MHX15egoCDWrl0b4/iFCxcoWbIkOXLkoFevXmTMqEaPzmT31N9oPqUGUXjyaoUddJtU2O6SRCS5KFMGSpSA69dh9mwA3n/fHJo+HYKD7StNnIPtQefy5cuULFmS8TcbuP3XvHnz6N69O/369WPbtm1UrVqVOnXqcOiOe5Zp06Zl+/bthISEMHv2bE6ePJlU5csjOrfxb+p3zEYYAVTNspcJvxbD4bC7KhFJNhyO23d1bj6+qlIFmjWDqCjo1Ml8FLkXh5WMnvM4HA4WLFhAw4YNo/dVqFCBMmXKMGnSpOh9hQsXpmHDhgwbNuyur/H666/z5JNP0qxZs1i/x/Xr17l+/Xr052FhYQQGBhIaGoq/v3/C/TDyQOGnzlMnz25WXKlMLp/jbNqfnkw5fOwuS0SSm7NnIXt287xq61YoXZqjR6FQIbh0CUaMgJ497S5SklpYWBgBAQEP/P1t+x2d+7lx4wZbtmyhVq1aMfbXqlWL9evXA3Dy5EnCwsIA80OvWbOGggUL3vNrDhs2jICAgOhXYGBg4v0Acm8REfQou4YVVyqTynGZxUu8FXJEJHYZMsCtfwDPmAHAY4/BqFFmV9++Jv+IxCZZB50zZ84QGRlJlixZYuzPkiULJ06cAODIkSM88cQTlCxZkipVqtClSxdKlChxz6/Zp08fQkNDo1+HDx9O1J9BYjflmfmMP9wAgC9HnqREjQw2VyQiydqtx1dffQXXrgFmAcFGjSA8HF580dzdEfkvp1ikxPGfQRuWZUXvCwoKIjgeo9F8fHzw8dGdAzv9+s5PdF7RCIAhzf+iYY9iNlckIsneU09BzpxmTvnChdC8OQ6HafK5aRPs2wevv256YWmcn9wpWd/RyZgxI56entF3b245derUXXd5xDn88/UmmnxUnghS0LzYDvrOVsgRkTjw9IQ2bcz2zUHJYJ5qzZljDn/5JcycaUt1kowl66Dj7e1NUFAQy5cvj7F/+fLlVK5c2aaq5GFd3HmIBi1ScZaMlE23nxm/F9W/vEQk7tq2NbdrfvkF/v47eneVKrennHfurPYQEpPtQefSpUsEBwdHP34KCQkhODg4evp4jx49mDZtGjNmzGD37t28+eabHDp0iI4dO9pYtcRXVNglXq58gL8ii5DN6zQLN2YnZSrb//cTEWeSOzfUrWu2/zPr9p13oGZNuHrVND7XlHOJZtls1apVFnDXq3Xr1tHnTJgwwcqVK5fl7e1tlSlTxvr1118f+fuOHz/eKly4sFWgQAELsEJDQx/5a8o9REZafQp8a4Fl+XDV2rjouN0ViYiz+v13ywLL8vS0rH/+iXHo6FHLSpPGHJ482ab6JMmEhobG6fd3slpHxw5xnYcvD++rxt/y8gLT3uHLgft4aXABmysSEaf2zDOwdCk0b24G6Nzhk09MP6y0aeHAAUif3p4SJfG5xDo64vz+GPYLryx4DoDedf9UyBGRRzd8OHh4wNy58OuvMQ516mQ6Rly4cHudHXFvCjqSaI7+vIOGfYtyHV/q5f2Lod/fe30jEZE4K1UKOnQw2x06wJUr0Yc8PeG998z22LFw5kzSlyfJi4KOJIqrISdoWD+K42SjWOoQvtpcCA/93yYiCWXIENMWYu/eu/o/1K9veoFevgyjR9tUnyQb+tUjCc66dp125XawObwkGTzPs/i3DKRJ5xRrU4qIs0if/vaiOZMmweLF0YccDujXz2x/+qmZiSXuS0FHEpZlMazy98w9WxMvwvlu5iXylNQgbxFJBDVrQo8eZrtNG7Nq8k3160OuXKYf6H/GK4ubUdCRBLWw3WL6bTMzrCa8sY9qL6tpqogkomHDoGxZOH/eNLwKDwfAy8ssHggwbhy49/xi9+a2QWfChAkUKVKEcuXK2V2Ky/hz4m+8PPMpALpUDea1MUVtrkhEXJ63N8ybB/7+sH49DBgQfeiVVyBlSti+HdautbFGsZXW0dE6Ogni9Lp9lKvqw79WLp7KvoufDxbGK4X6O4hIEvnuO2hq7ibz889QuzYAr71mGn/GsuSOODmtoyNJ5saJczR5OpR/rVzk8z3M11vyKeSISNJq0sQsogOmjfm1a9GbYHLQyZM21Sa2UtCRR2KFR9A56HfWXiuHvyOMxcv9SJ/V2+6yRMQdffghPPYYhITAiBEAlC4NFSuaoTt3ND0XN6KgI4/kk6cXMu1YXTyIZO4nZyhcJYPdJYmIu0qdOjrgMGwYnDgB3L6r8+mnEBlpU21imzgHnYkTJyZmHeKElnX/iTfXNALgo9a7qNM5r80ViYjba94cKlQwi+d8/DEAzz9vlt05dAiWLLG5PklycQ46b7/9Nhs2bLjvOSdupmdxffu+2sQLYysRhSdtSgfT47PidpckImJWC7w182rSJDh7Fl9faNv29i5xL3EOOkOHDqVJkyacvMdorm3btlG+fPkEK0ySrwt/HqJe63RcIB2VM+xl8vqSODT2WESSi7p1TT+sS5dgwgQAOnY0h5YsMUN4xH3EOeh0796dGjVq0KRJEyIiImIcW7RoEVWrVuXxxx9P8AITi9bReTgR5y/S/PHD7IvMR2CKE8zfFIiPr1KOiCQjDgf06mW2p0yBiAjy5YNatczCgZ9+am95krTiNRh52rRpXL58ma5du0bvGzFiBE2bNqVXr17McaJFCjp37syuXbvYtGmT3aU4j6go3i67iqWXHsePKyxaBFny+NldlYjI3Ro3hkyZ4OhR+P574Pag5OnT4fp1G2uTJBWvTospU6Zk/vz5lCtXjhIlSrBlyxbmzp3L3LlzadKkSWLVKMnEjPoLGfNPYwA+/+AIpesUsLkiEZF78PExSyMPHw6TJ0OjRjz3HOTIAUeOmHV1WrSwu0hJCnFeGfnVV18lKCiI0qVLc+LECZo2bcpjjz3GokWLKFWqVCKXmXi0MnLc/PbuLzw5+AnC8ebdhsEMWlDK7pJERO4vJAT+9z/zvOrvvyFfPt5/HwYOhBIlYNs28NAiK04rwVdG3rdvH71796Zy5co8//zzOBwOihUrxtq1a1m3bh2XL19OkMIl+fn3+z9pPLgE4XjTrMB2BnxXyu6SREQeLE8eeOYZsz1tGmAaffr7w59/wjff2FibJJl497r6+++/2bJlC1u3bmXLli1s27aNCxcu4OHhQYECBdi1a1di1ZoodEfn/i7tP8Hjhc/xZ0QRSvvv57cjefBL42l3WSIicbNggRmvkyULHD4MKVJE39UpUAB27jSdzsX5JEqvq3///Zc9e/aQN29ePvroI1asWMG5c+c4cOAAc+bMoWHDho9atyQjUVeu0ar8bv6MKEIWzzMsWp9ZIUdEnMtzz5mQc/Jk9KDk7t0hY0bYtw/Gj7e3PEl8cQ46c+bMIX/+/DRo0IBKlSpRtmxZTp8+DUCePHlo1qwZH3zwQaIVKknMshhU4WcWnK+BN9dZMOcagUV1x0tEnEyKFNCmjdm++fgqTRrTIQKgf39zo0dcV5yDzuDBg2nVqhX79+9n5cqVeHh40Lt378SsTWw07+XvGfJXQwCm9tpPpWY57C1IRORhvfqq+fjzz6YPBNCuHTz+OFy+DN262VibJLo4j9Hx9vbm77//JleuXADs3buXMmXKOP0gZI3Rudvm0Wup2qMs10hJz6e2MuKXMnaXJCLyaJ58ElatgkGD4N13AfjrL9PdPCICFi6EBg1srVDiKcHH6ERERJAyZcrozwsWLEhUVJTT9rfSysixO756Lw3fyss1UlI3cAfDfy5td0kiIo+ufXvzccaM6BbmxYpBz55md5cucPGiTbVJoorXYORZs2axfv16Ll26BICXlxdXrlxJlMISm1ZGvtu1o2dp+MxVjlqPUdjvILO3FMTTS+0dRMQFNGpkWpgfPgzLlkXvHjDAzEI/csTMxBLXE+egU6VKFYYMGUKVKlVImzYt+fPn59q1a0yfPp1Vq1YRFhaWmHVKIrNuhNM+aCt/XC9FOo8LLF7lT0Amb7vLEhFJGL6+0LKl2Z46NXq3n9/tjubjxsGWLTbUJokqQdfRyZ8/P7t3706sWhOFxugYH1ZaSO/fG+JJBMumHuLJV/PaXZKISMLaudM8r/L0NHPL897+e65FC5gzB554AlavNn1BJXmL6+/veAed2ISEhLB582a2bdvmdFPMFXTg+05LaDCpNhYeTHhtO50+LWl3SSIiieOZZ2DpUujQwfTAuunIEciXzzT7XLrUdDqX5C1Jg44zc/eg89dnm6jUrhCXSEPH8luZtFEzrETEhf32G1StCt7ecOCA6fJ505tvwpgxUK4cbNyouzrJXaKsjCyu5czmg9R/NROXSEP1zDsZt1YzrETExVWpAtWqwY0bMGRIjEN9+pgxO5s2wZIlNtUnCU5Bx02Fnw2jWbVThETlJq/PEb7dkpcU3vrni4i4gfffNx+nTDEtzG/KnBlef91sjxplQ12SKBR03FFkJN2C1rH6SnnSOC6y+KcUZMiR8sHvExFxBVWrQvPmYFnQtav5eFO3bmas8sqVMTKQODEFHTc0se4PTP63Dg6imD3yOEWfzGJ3SSIiSWvECPOcat06mDUrenfOnPD882Zbd3Vcg4KOm1nR5xe6LXsWgOHNt/NcjwI2VyQiYoMcOaJbQdCzJ5w5E33orbfMx3nz1PDTFbht0HHHFhD7v9tOs+FliMSLlkW38vZsDT4WETfWvTsULw5nz8I770TvDgoy45UjIswiguLcNL3cTaaXh+4+RqUSl9gdUYAKafew+kh+fFN52l2WiIi91q83bcwB1qwx43eAH36AevUgTRpzVycgwMYaJVaaXi7RIi9d5cWKIeyOKMBjXidYsPExhRwREYDKlW83/OzY0Uw7B+rWhcKFTaPPKVNsrE8emYKOq7MsepdbwZKwx0nJFRZ9G0G2AmnsrkpEJPkYPhwyZYJdu2DsWAA8PG53Nh87Njr/iBNS0HFxs57/kZF7ngPgswEhBDXI8YB3iIi4mfTp4aOPzPbw4eY2DvDSS5AtGxw9CnPn2lifPBIFHRe2/sO1vPZtTQD619nMC+8VtbkiEZFkqmVLKFAAzp2D8eMB8PEx6+qAyUFRUTbWJw9NQcdFHV6+h8Z9CnADHxrlCWbwD2XtLklEJPny9ISBA832qFFw5Qpghu2kTWsan8+ebV958vAUdFzQ5X/P0OC5CE5aWSiR6gCfbymKh660iMj9NW8OefKY6eZffgmYkHNr5vmAAaa7uTgX/fpzMVHXbtCm7F9su1GMTB5nWfxbelKnS2F3WSIiyZ+np2kJAWYE8s3VV7p1g+zZ4eBBmDzZvvLk4SjouBLL4v0qS/n2THVScIP5M8PIVSqd3VWJiDiPdu0gdWozA+uXXwDTKeLWIsrvvQfnz9tXnsSfgo4L+bb9Ut7dUg+Ayd12U6VlHpsrEhFxMgEB0KaN2R4zJnp327ZQtKgZqzx0qC2VyUNS0HER2yZvpNX0JwDo/vgm2o0taXNFIiJOqls3cDjgp59g3z4AvLxuN/kcNw4OHLCxPokXBR0XcPL3EBp0eoyr+FE725+MWKUZViIiDy1/frM0MsAnn0Tvrl3bvMLDY7TGkmROQcfJXT8VSqMnL3DYykFB34PM3VoArxQOu8sSEXFub7xhPs6cCaGh0btHjjSrJn/3Hfz2mz2lSfy4bdBxhe7lVkQkHcpsYsPV0qR1XGDxcj/SZvW1uywREef39NNQpAhcugQzZkTvLlbsdmusHj20iKAzUPdyJ+5ePqrGD/Rc/RweRLLkkwPU6lLA7pJERFzHlCnQoYNZW+fvv830c+DkSciXz2Sgr76CFi1srtNNqXu5i1vy1i/0Wl0HgNGtghVyREQS2ssvmz5YISGweHH07ixZoG9fs927N1y9alN9EicKOk5o99xgmn9cjig8ebXUJrrODLK7JBER1+PnB6+/brYHD47xnKp7d8iZEw4fjm6NJcmUgo6TObfjKPVeDiCMAKpm2MmEDUE4NPZYRCRxvPkmpEkD27fDggXRu1OmNIsHAnz4YXTDc0mGFHScSHjoFZ5//AgHIvOQK8VRvtuUC29fXUIRkUSTIYMJOwCDBkFkZPShl14yDc/Pno0xC12SGf2WdBaWRY+ya1hxsQKpuMzihRaZ8qS2uyoREdf35puxtjD38jLZB8y08ztmoUsyoqDjJD5tuITx+58B4Mv3QyhRN4fNFYmIuIm0aaFPH7Pdrx9cuxZ96IUXoHBh0/9q7Fh7ypP7U9BxAqvfX0uXxTUBGNpwEw37F7O5IhERN9O1KwQGmtHHdzyn8vS83fDz44/V8DM5UtBJ5v75aQ9NBxYhghS8WGAzfeY77wKHIiJOK2VKeP99sz10qBmYc1PTplC8uHl09fHHNtUn96Sgk4yFHThN/YYOzpKBsv57mb65lGZYiYjY5eWXoUQJk2g++CB6t4eHmX0OpuH5HRlIkgEFnWQq8uoNXi6/j53hBcnmeZKF6zKTMo2X3WWJiLgvT0/46COzPX48HDwYfahhQyhd2qyWPHKkLdXJPSjoJEeWRf9Kv/D9ucfx4RoLZ1/lsWLp7K5KRERq1YKnnoIbN6B//+jdDsftuzrjxsGJEzbVJ3dR0EmGvmy1jOHb6wIw4+09lH8+t70FiYiI4XDcvqvz1VewdWv0oeeegwoV4MqV2wOUxX4KOsnMxnEbefXLagD0eXIjLT4qZW9BIiISU5kyZrVAgLffhpu9sR0OGDHC7J46FXbtsqk+iUFBJxk5suYfGnbPxXV8qR+4jSHLyttdkoiIxGbIEPD2hpUrYdWq6N1Vq0KjRqYtVq9eNtYn0RR0kokrxy7QsNYVTlhZKZbyAF9uLYKHp6ZYiYgkS7lzw2uvme0hQ2IcGj7crJr844+wYkXSlyYxKegkA1ZEJK8EBbPlejEyeJxj8Wp/0mT0sbssERG5n169IEUKc0dn3bro3QUK3G563rNnjKbnYgO3DToTJkygSJEilCtn/wJ8H1RfytwT1fEinO8+PUue8pnsLklERB4kMBDatDHbtxYTvGngQPD3h+Bg+PLLJK9M7uCwrJujqNxUWFgYAQEBhIaG4u/vn+Tff0HXlTQe/yQAn762mdc+LZvkNYiIyEP65x9zCycyEv74A+74x/OHH0Lv3pAjB+zdC35+NtbpguL6+9tt7+gkB39+HkzL8WbAcZdyGxVyREScTd68t2dg/WesTrdukDMnHDliVkwWeyjo2OTU1iPUb5uey6Tm6czbGf2b/Y/QRETkIfTta+aWL14M27dH706Z8naniGHD4ORJm+pzcwo6Nrhx/jJNnjjFv1E5yed9iHmb8+HlrUshIuKUChaE558320OHxjj04osQFGRaQ9xaOVmSln67JjErMopOZX7nt8tl8HeE8f1PnqQPTGV3WSIi8ij69TMfv/0Wdu+O3u3hAaNGme0pU2IckiSioJPExj23jOkHn8KDSOZ+dJhCTz1md0kiIvKoihc3nT0t666xOtWqQf36ZrzyO+/YU547U9BJQssGrKXHzzUBGPH8Zur0LGpzRSIikmAGDDAf58yBP/+McejDD03z8++/j7GQsiQBBZ0ksnfhbp4fUpwoPGlTZCNvzq1gd0kiIpKQypQxY3UsywxQvkOhQtChg9nWIoJJS0EnCZzfe4r6zbwJJS2V0+5k8h9BONTdQUTE9QwZYm7d/PgjrF0b49C770KaNKbh+Vdf2VOeO1LQSWQRl6/TvGII+yL+R6DXMeZvzIFPKi+7yxIRkcSQPz+8+qrZ7t07urM5QKZMt2/09O5tZmJJ4lPQSUyWRc/ya1h2oQJ+XGbxNzfIUiDA7qpERCQxDRxoFtFZvx5++CHGoe7dzRqDx47dXmNHEpeCTiKa3nw5Y3eZwcef9/+bUg1z21uQiIgkvuzZ4Y03zHafPma61U2+vjB6tNkeNQr277ehPjejoJNI1o7ayOtfVwdg8DMbaPJ+KVvrERGRJPTOO5AuHezcedeAnHr1oHZtuHEDevSwqT43oqCTCM7sO0fjt/9HON40y72JAT9WtLskERFJSmnTmoE4YB5lXb8efcjhML2vvLzMdPOff7alQrehoJMIMuRPz6CW/1Defzczt5bA4aEpViIibqdrV/MY699/YfLkGIcKFbr9dKt7d3N3RxKHw7LuGBLuhuLa5v1hRIRbeKVQyBERcVtTp8Jrr0HGjHDgANzxeyY0FAoUgFOnYORIeOstG+t0QnH9/a07OolIIUdExM21bWuafp45Ax9/HONQQAAMH262Bw+GEydsqM8NKOiIiIgkFi8veP99sz1qFJw+HeNw69ZQrhxcvGgmaEnCU9ARERFJTE2aQFCQWSHwP4vneHjAJ5+Y7ZkzYePGpC/P1SnoiIiIJCYPj9sBZ+JEOHQoxuEKFaBNG7Pdtav6YCU0BR0REZHEVrMmVK9uplcNHnzX4WHDTB+sTZtg1qykL8+VKeiIiIgkNofDpBkwz6h27YpxOGtWs9wOmLE6oaFJW54rU9ARERFJChUrQsOG5tlUr153He7WzUw3P3ny9vhleXQKOiIiIknlww/NTKwff4QVK2Ic8vaGsWPN9tixsGePDfW5ILcNOhMmTKBIkSKUK1fO7lJERMRdFCgAr79utt96K0bDT4BnnjG9sCIizMrJ7r2kb8LQysiJuDKyiIjIXc6ehXz54MIFmD4d2rWLcXj/fiha1IxbXrQI6te3p8zkTisji4iIJEcZMkD//ma7f3+zvs4d8uW73Q7izTfh2rUkrs/FKOiIiIgktS5dIG9eOH7cNLr6j759TT/Qf/65q3OExJOCjoiISFLz8bnd6GrECDh6NMbh1Knho4/M9tChcPhwEtfnQhR0RERE7NC0KVSuDFeu3H6UdYcWLaBKFXP4jTdsqM9FKOiIiIjYweG4/Vxq1iwIDr7r8MSJZjb6ggXw/fdJX6IrUNARERGxS4UK0Ly5mUf+1lt3zScvXhx69DDbXbrA5cs21OjkFHRERETsNGyYGbOzcqVZSPA/Bg6EXLlML9D33rOhPienoCMiImKn3LlvD8J5+20ID49xOFUqGD/ebH/8MezYkbTlOTsFHREREbv17QsZM5q+D1Om3HX4ueegUSOzYvLrr5t2WRI3CjoiIiJ2CwiAwYPN9rvvxtq+fOxYM+183Tr47LOkLc+ZKeiIiIgkB6+9BoUKwZkz8MEHdx0ODLw9RqdXLzh9Oonrc1IKOiIiIsmBl5dZPBBgzBgICbnrlK5doWRJOHfODOeRB1PQERERSS6efRaeesp09OzT567DXl7w6admjZ1Zs8xELbk/BR0REZHkwuGAUaPMx3nz4Pff7zqlQgUzIBnM064rV5K4RiejoCMiIpKclCwJbdqY7R497lpEEMzSO489BgcO3B7DLLFT0BEREUluhgwBPz/YsAG+/fauw/7+MGmS2R41CrZuTeL6nIiCjoiISHKTPfvt0cbvvAPXr991Sr168MILEBkJr75q1tiRuynoiIiIJEdvvw3ZspnZV598EuspY8dCunSwbdvt/qASk4KOiIhIcpQqFQwdaraHDDHr6/xHliy3A86gQbB/fxLW5yQUdERERJKrVq3M4OTQUJNkYtG6NTz9NFy7ZmZhxTJ22a0p6IiIiCRXnp4werTZnjwZtm+/6xSHw6ytkzIlrFoFM2YkcY3JnIKOiIhIclajBjz/vOnk2aVLrLds8uaF99832z17wvHjSVxjMqagIyIiktyNHGmmm//2G8yeHespb7wBQUFw4YLJQ2Io6IiIiCR3gYHQv7/Z7tkTwsLuOsXLC6ZPNx/nz4dvvkniGpMpBR0RERFn0KMH5MsHJ07cfk71HyVLQt++ZrtTJ3U4BwUdERER5+DjA+PGme0xY2D37lhP69cPihc3s9H1CEtBR0RExHnUqWOWRI6IgG7dYh2Y7O0NM2eaCVtffx1rBwm3oqAjIiLiTEaPNnd3fvnFDMaJRZky0KeP2e7UKda1Bt2Ggo6IiIgz+d//oFcvs92jB1y5Eutp/ftDsWJmnE7XrklYXzKjoCMiIuJseveGnDnh0CEYPjzWU3x84LPPzCOsuXPvefPH5SnoiIiIOBs/v9srJn/0ERw4EOtpZcua5ucAr78OZ88mUX3JiIKOiIiIM2rUCGrWhOvXoXv3e542cCAUKQKnTpnxy+5GQUdERMQZORxmurmXF/zwAyxeHOtpPj5mFpaHh1lUeeHCJK3Sdgo6IiIizqpQIbNSMpgRx5cvx3pauXLw9ttmu2NHOHcuiepLBhR0REREnNmAAZA7txmYPHjwPU97912Ti06edK9ZWAo6IiIizszPD8aPN9sffww7dsR6mq9vzEdY7rKQoNMHncOHD1O9enWKFClCiRIl+EZdzERExN08+yw0bgyRkebZVFRUrKdVqGBmpoM57cSJJKzRJg7LimX9aCdy/PhxTp48SalSpTh16hRlypRh7969pEqVKk7vDwsLIyAggNDQUPz9/RO5WhERkURy5AgULgyXLsHUqfDqq7GeduMGlC8P27ebbhKLFplxzc4mrr+/nf6OTrZs2ShVqhQAmTNnJn369Jxzp1FWIiIiADly3O5q3qvXPVuXe3vD55+bj99/bx5nuTLbg86aNWuoV68e2bNnx+FwsDCWeW8TJ04kT548+Pr6EhQUxNq1a2P9Wps3byYqKorAwMBErlpERCQZ6tIFSpWC8+dvT7OKRYkS8N57ZvuNN+Dff5OmPDvYHnQuX75MyZIlGX9rINV/zJs3j+7du9OvXz+2bdtG1apVqVOnDocOHYpx3tmzZ2nVqhVTpkxJirJFRESSHy8vmDzZPIuaNQtWr77nqT17QuXKcPEitG17z2E9Ti9ZjdFxOBwsWLCAhg0bRu+rUKECZcqUYdKkSdH7ChcuTMOGDRk2bBgA169fp2bNmrRv356WLVve93tcv36d69evR38eFhZGYGCgxuiIiIjr6NQJJk0y88mDg82qgbHYvx9KljR9QceOda6Vk11ijM6NGzfYsmULtWrVirG/Vq1arF+/HgDLsmjTpg1PPvnkA0MOwLBhwwgICIh+6TGXiIi4nA8+gMyZYc8eGDnynqflywcjRpjtd96BvXuTqL4klKyDzpkzZ4iMjCRLliwx9mfJkoUTN+fErVu3jnnz5rFw4UJKlSpFqVKl2HGPNQQA+vTpQ2hoaPTr8OHDifoziIiIJLm0aW83/Rwy5J5NP8E0+6xZE65dg1atICIiaUpMKl52FxAXjv/Me7MsK3pflSpViIrHg0UfHx987nELT0RExGW8+CJ89hn88otZNGfZsljnkTscMGMGFCsGf/wBH34I/frZUG8iSdZ3dDJmzIinp2f03ZtbTp06ddddHhEREbmDw2HG6fj6mrDzxRf3PDVHDvjkE7M9eLAZ1uMqknXQ8fb2JigoiOXLl8fYv3z5cipXrmxTVSIiIk4iXz7T5ArgzTfh1Kl7nvryy9CoEYSHQ8uWcMe8Hadme9C5dOkSwcHBBN+MjyEhIQQHB0dPH+/RowfTpk1jxowZ7N69mzfffJNDhw7RsWNHG6sWERFxEj16mLV1zp2D7t3veZrDAZ9+CpkywV9/waBBSVZhorJ9evnq1aupUaPGXftbt27NzJvLNU6cOJGPPvqI48ePU6xYMUaPHs0TTzzxSN93woQJTJgwgcjISPbt26fp5SIi4rq2bDF9H6Ki4McfoW7de566cKG5s+PhAWvXmrV2kqO4Ti+3PejYTb2uRETELbz9tplqHhgIO3dCmjT3PLVNG7Pe4P/+Z3pixbF9ZJJyiXV0REREJIEMHgx58sDhw9C//31PHTvW5KEDB0zbLGemoCMiIuIO/PzMIBwwU6x+//2epwYEmJnpABMnmpnpzkpBR0RExF3UrAmtW4Nlwauvwo0b9zz1qadMj1CAdu1Mn1BnpKAjIiLiTkaNMlOrdu6Ejz6676kffgj588PRo87VB+tOCjoiIiLuJEMGMwgH4P33TT+se/Dzg88/NzOwvvwS5s9PohoTkIKOiIiIu2ne3Ewxv3ED2rc3087voWJF0/AToEMHOHkyiWpMIG4bdCZMmECRIkUoV66c3aWIiIgkrVvtIVKlgt9+g8mT73v6oEFQogScOWPCjjMtTKN1dLSOjoiIuKvx46FrVxN4/voLcue+56l//glly5oWETNnmjHNdtI6OiIiInJ/nTpB1apw+bJ5hHWfex8lSpileMAMTL7ZqSnZU9ARERFxVx4eMH367Q7n06ff9/S33zZjdsLCzJTz+wztSTYUdERERNxZ/vwwdKjZfustOHLknqd6eZlZWH5+sGIFTJiQRDU+AgUdERERd/fGG1ChgrlV84DRxvnz315+5513YN++JKrxISnoiIiIuDtPT5gxA7y94aefzKI59/H66/D003D1KrRqBRERSVTnQ1DQEREREShSBN5912y/8QacOHHPUz08TC4KCICNGx+4wLKt3DboaB0dERGR/+jZE8qUMY2tOnW67yOswEAYN85sv/subN+eNCXGl9bR0To6IiIit/35JwQFmedR8+bB88/f81TLgsaNYeFCKF4cNm0CH5+kKVPr6IiIiEj8lSgB/fqZ7c6d4fTpe57qcMCnn5oeoTt23H7ylZwo6IiIiEhMffuaWzRnzjywbXnmzCbsgBmrs359EtQXDwo6IiIiEpO3N3z2mZmNNXeueTZ1H40aQcuWZgHB1q3NQsvJhYKOiIiI3C0oyCyFDGY++blz9z193DjIkQP274devZKgvjhS0BEREZHYDRoEhQqZqeY9etz31LRpzZRzgIkTYfnyxC8vLhR0REREJHa+via9OBwwa5ZZTPA+atY0s9IB2raFCxcSv8QHUdARERGRe6tUCbp3N9uvvQahofc9/aOPIF8+OHr0geOYk4SCjoiIiNzfkCG308tbb9331FSpTONPDw/44gtYsCCJarwHtw06WhlZREQkjvz8bj/Cmj4dli697+mVKt0ekPzaa3DqVBLUeA9aGVkrI4uIiMTNG2+Y6VWBgfDXX3Cf35vXr0O5cnD4sLmrU716wpailZFFREQkYX3wAeTNa9LLrann9+DjYzpI/PVXwoec+FDQERERkbhJler2HPIpU+CXX+57euHC8NhjSVDXfSjoiIiISNxVqwZdupjtV16BixftrecBFHREREQkfoYNgzx54NAheOcdu6u5LwUdERERiZ/UqWHaNLM9aRKsXGlvPfehoCMiIiLx9+STpgcWmEdYly7ZW889KOiIiIjIw/nwQ8iVCw4ehN697a4mVgo6IiIi8nDSpLn9CGvCBPj1V3vriYWCjoiIiDy8p582yx8DtGsHly/bW89/uG3QUQsIERGRBDJihFkt+Z9/oG9fu6uJQS0g1AJCRETk0S1bBrVrm+01a6Bq1UT9dmoBISIiIkmnVi0z+wrMI6wrV+yt5yYFHREREUkYo0ZBjhywfz/07293NYCCjoiIiCSUgADTAwtgzBhYt87WckBBR0RERBJSnTrQti1YlnmEdfWqreUo6IiIiEjC+vhjyJ4d9u2DgQNtLUVBR0RERBJW2rS3H2F9/DFs2GBbKV62fWcRERFxXc8+C61awenTZo0dmyjoiIiISOL49FPw8QGHw7YSFHREREQkcfj62l2BxuiIiIiI61LQEREREZeloCMiIiIuy22DjrqXi4iIuD51L1f3chEREaej7uUiIiLi9hR0RERExGUp6IiIiIjLUtARERERl6WgIyIiIi5LQUdERERcloKOiIiIuCwFHREREXFZbt+9/NZ6iWFhYTZXIiIiInF16/f2g9Y9dvugc/HiRQACAwNtrkRERETi6+LFiwQEBNzzuNu3gIiKiuLYsWOkSZOGixcvEhgYyOHDh21vB1GuXDk2bdpk+9eLz/vicu79znmYY//dHxYWpmv4CO970LmPcjy2Y7p+Cfu+R/0zeL/j+jPoHNfQnf4etSyLixcvkj17djw87j0Sx+3v6Hh4eJAjRw4AHA4HAP7+/rZfXE9PzwSt4WG/XnzeF5dz73fOwxy7135dw4d734POfZTjsR3T9UvY9z3qn8H7HdefQee4hu729+j97uTcosHIyVTnzp2TxdeLz/vicu79znmYYwn93ykhueI1fJTjsR3T9UvY9z3qn8H7HdefQee4hvp79G5u/+jqTupk7vx0DZ2brp/z0zV0fq52DXVH5w4+Pj4MGjQIHx8fu0uRh6Rr6Nx0/ZyfrqHzc7VrqDs6IiIi4rJ0R0dERERcloKOiIiIuCwFHREREXFZCjoiIiLishR0HsGVK1fIlSsXPXv2tLsUiaeLFy9Srlw5SpUqRfHixZk6dardJUk8HT58mOrVq1OkSBFKlCjBN998Y3dJ8hAaNWpEunTpaNq0qd2lSBz88MMPFCxYkPz58zNt2jS7y4kTzbp6BP369ePvv/8mZ86cjBw50u5yJB4iIyO5fv06fn5+XLlyhWLFirFp0yYyZMhgd2kSR8ePH+fkyZOUKlWKU6dOUaZMGfbu3UuqVKnsLk3iYdWqVVy6dIlZs2bx7bff2l2O3EdERARFihRh1apV+Pv7U6ZMGTZu3Ej69OntLu2+dEfnIf3999/s2bOHunXr2l2KPARPT0/8/PwAuHbtGpGRkQ/sgCvJS7Zs2ShVqhQAmTNnJn369Jw7d87eoiTeatSoQZo0aewuQ+Lgjz/+oGjRojz22GOkSZOGunXrsnTpUrvLeiCXDDpr1qyhXr16ZM+eHYfDwcKFC+86Z+LEieTJkwdfX1+CgoJYu3ZtvL5Hz549GTZsWAJVLP+VFNfwwoULlCxZkhw5ctCrVy8yZsyYQNULJM01vGXz5s1ERUURGBj4iFXLnZLyGkrie9TreezYMR577LHoz3PkyMHRo0eTovRH4pJB5/Lly5QsWZLx48fHenzevHl0796dfv36sW3bNqpWrUqdOnU4dOhQ9DlBQUEUK1bsrtexY8dYtGgRBQoUoECBAkn1I7mdxL6GAGnTpmX79u2EhIQwe/ZsTp48mSQ/m7tIimsIcPbsWVq1asWUKVMS/WdyN0l1DSVpPOr1jO2u961m2Mma5eIAa8GCBTH2lS9f3urYsWOMfYUKFbJ69+4dp6/Zu3dvK0eOHFauXLmsDBkyWP7+/tbgwYMTqmT5j8S4hv/VsWNH6+uvv37YEuUBEusaXrt2zapatar1+eefJ0SZch+J+edw1apVVpMmTR61RImHh7me69atsxo2bBh9rFu3btZXX32V6LU+Kpe8o3M/N27cYMuWLdSqVSvG/lq1arF+/fo4fY1hw4Zx+PBhDh48yMiRI2nfvj0DBw5MjHIlFglxDU+ePElYWBhgGtitWbOGggULJnitEruEuIaWZdGmTRuefPJJWrZsmRhlyn0kxDWU5CMu17N8+fL89ddfHD16lIsXL/LTTz9Ru3ZtO8qNFy+7C0hqZ86cITIykixZssTYnyVLFk6cOGFTVRIfCXENjxw5wiuvvIJlWViWRZcuXShRokRilCuxSIhruG7dOubNm0eJEiWixxp88cUXFC9ePKHLlVgk1N+ltWvXZuvWrVy+fJkcOXKwYMECypUrl9DlygPE5Xp6eXkxatQoatSoQVRUFL169XKKmapuF3Ru+e9zRcuyHupZY5s2bRKoIomvR7mGQUFBBAcHJ0JVEh+Pcg2rVKlCVFRUYpQl8fCof5c6w6wdd/Kg61m/fn3q16+f1GU9Erd7dJUxY0Y8PT3v+hfHqVOn7kqykjzpGjo/XUPnp2voWlz5erpd0PH29iYoKIjly5fH2L98+XIqV65sU1USH7qGzk/X0PnpGroWV76eLvno6tKlS+zfvz/685CQEIKDg0mfPj05c+akR48etGzZkrJly1KpUiWmTJnCoUOH6Nixo41Vy510DZ2frqHz0zV0LW57Pe2b8JV4Vq1aZQF3vVq3bh19zoQJE6xcuXJZ3t7eVpkyZaxff/3VvoLlLrqGzk/X0PnpGroWd72e6nUlIiIiLsvtxuiIiIiI+1DQEREREZeloCMiIiIuS0FHREREXJaCjoiIiLgsBR0RERFxWQo6IiIi4rIUdERERMRlKeiIiIiIy1LQEREREZeloCMikgAaNWpEunTpaNq0qd2liMgdFHRERBJAt27d+Pzzz+0uQ0T+Q0FHRBLUW2+9Rb169e57TvXq1XE4HDgcDoKDg+P13uSqRo0apEmTJtZjbdq0if55Fy5cmLSFibg5BR0RSVDBwcGUKlXqgee1b9+e48ePU6xYsRjvLVmy5APfeys4dOzY8a5jnTp1wuFw0KZNm/iUnajGjh3L8ePH7S5DxC0p6IhIgtq+fTulS5d+4Hl+fn5kzZoVLy+vGO+NS9ABCAwMZO7cuVy9ejV637Vr15gzZw45c+aMf+EPEBQURLFixe56HTt27IHvDQgIIGvWrAlek4g8mIKOiCSYw4cPc/bs2eg7OhcuXKBevXpUrlz5gXc0br3Xw8ODmjVr4ufnR8GCBdm4cWOs55cpU4acOXMyf/786H3z588nMDDwrqBVvXp1unTpQpcuXUibNi0ZMmSgf//+WJYVfU5UVBQffvgh+fLlw8fHh5w5czJ06NDo41u2bOGvv/6665U9e/b4/mcSkSSkoCMiCSY4OJiAgADy5MnDjh07KFeuHNmyZWP16tVky5btge8F+OSTT+jTpw/bt28nZ86c9O7d+57vadu2LZ999ln05zNmzKBdu3axnjtr1iy8vLzYuHEj48aNY/To0UybNi36eJ8+ffjwww8ZMGAAu3btYvbs2WTJkiUeP72IJEdeDz5FRCRubo2xmTNnDp07d2b48OF06NAhzu9Nly4dX3/9NZkzZwagYcOGTJo06Z7vadmyJX369OHgwYM4HA7WrVvH3LlzWb169V3nBgYGMnr0aBwOBwULFmTHjh2MHj2a9u3bc/HiRcaOHcv48eNp3bo1AP/73/+oUqVKnH/22rVrs3XrVi5fvkyOHDlYsGAB5cqVi/P7RSRxKOiISIIJDg5mx44ddOnShR9//JHKlSvH670NGjSIDjkA//zzD/ny5bvnezJmzMizzz7LrFmzsCyLZ599lowZM8Z6bsWKFXE4HNGfV6pUiVGjRhEZGcnu3bu5fv06Tz31VJzr/a+lS5c+9HtFJPHo0ZWIJJjg4GCaNGnCtWvXuHDhQrzfW6lSpRj7tm3b9sAZXO3atWPmzJnMmjXrno+tHiRlypQP9T4RSf4UdEQkQVy8eJGQkBA6derExIkTefHFF9m5c2e83vvfQcRxmar+zDPPcOPGDW7cuEHt2rXved7vv/9+1+f58+fH09OT/PnzkzJlSlasWBGnekXEeejRlYgkiODgYDw9PSlSpAilS5dm586d1KtXjz/++OOej5PufK+HhwfFixeP3vfvv/9y/vz5BwYdT09Pdu/eHb19L4cPH6ZHjx506NCBrVu38sknnzBq1CgAfH19eeedd+jVqxfe3t48/vjjnD59mp07d/LKK6/E8b+AiCRHCjoikiC2b99OoUKF8PHxAeDDDz9k9+7dNG7cmF9++QVvb+8HvtfX1zd637Zt20ibNi25c+d+4Pf29/d/4DmtWrXi6tWrlC9fHk9PT7p27cprr70WfXzAgAF4eXkxcOBAjh07RrZs2WJdkFBEnIvDunMhCRGRJFC9enVKlSrFmDFjXPL73YvD4WDBggU0bNjQ1jpE3InG6IiILSZOnEjq1KnZsWOH3aUkuo4dO5I6dWq7yxBxS7qjIyJJ7ujRo9GtG3LmzHnfx1oJwe47OqdOnSIsLAyAbNmykSpVKlvqEHFHCjoiIiLisvToSkRERFyWgo6IiIi4LAUdERERcVkKOiIiIuKyFHRERETEZSnoiIiIiMtS0BERERGXpaAjIiIiLktBR0RERFyWgo6IiIi4LAUdERERcVkKOiIiIuKyFHRERETEZf0f9YtotCYJQqgAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "k,pk_ccl = Pk_ccl(mode = \"As\")\n", + "k,pk2_ccl = Pk_ccl(mode = \"As\", mnu = 0.3)\n", + "\n", + "plt.loglog(k, pk2_ccl, color='r', ls = '-',label = 'nu=0.3')\n", + "plt.loglog(k, pk_ccl, color='b', ls = '-',label = 'nu=0.')\n", + "plt.legend()\n", + "plt.ylabel('$PK$')\n", + "plt.xlabel(r'$k\\, [h \\,\\rm{Mpc}^{-1}]$')\n", + "plt.title('CCL, fixing As')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "81087b04-5500-424c-95cf-4a9ee5b25d7c", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "acd1e1b7-86a2-470b-a682-01e8f80c5008", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#When fixing As, they look more similar \n", + "#however, the nu=0.3/nu=0 does not match (different model?)\n", + "\n", + "plt.loglog(k, pk_ccl, color='r', ls = '-',label = 'CCL nu=0')\n", + "plt.loglog(k_camb, pk_camb[0,:], color='b', ls = '--',label = 'CAMB nu=0')\n", + "\n", + "\n", + "plt.loglog(k, pk2_ccl, color='C1', ls = '-',label = 'CCL nu=0.3')\n", + "plt.loglog(k_camb, pk2_camb[0,:], color='C0', ls = '--',label = 'CAMB nu=0.3')\n", + "plt.title('As fixed')\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "970a88ea-3c58-4ece-be7c-eb8a3464c7e7", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(0.006, 0.04)" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#When fixing As, they look more similar \n", + "#however, the nu=0.3/nu=0 does not match (different model?)\n", + "\n", + "plt.semilogx(k, pk_ccl, color='r', ls = '-',label = 'CCL nu=0')\n", + "plt.semilogx(k_camb, pk_camb[0,:], color='b', ls = '--',label = 'CAMB nu=0')\n", + "\n", + "\n", + "plt.semilogx(k, pk2_ccl, color='C1', ls = '-',label = 'CCL nu=0.3')\n", + "plt.semilogx(k_camb, pk2_camb[0,:], color='C0', ls = '--',label = 'CAMB nu=0.3')\n", + "plt.title('As fixed')\n", + "plt.legend()\n", + "\n", + "plt.gca().set_ylim((6000,10000))\n", + "plt.gca().set_xlim((6e-3,4e-2))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "326769ec-f4b9-44fd-ab50-8037bd12c1d8", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "dce43bdb-8a20-48e3-ad37-20860285b6d5", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'As fixed')" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.semilogx(k_camb, pk2_camb[0,:]/pk_camb[0,:], color='r', ls = '-', label = 'CAMB ')\n", + "plt.semilogx(k, pk2_ccl/pk_ccl, color='b', ls = '-',label = 'CCL ')\n", + "\n", + "plt.xlabel(r'$k\\, [h \\,\\rm{Mpc}^{-1}]$')\n", + "plt.ylabel(r'$Pk(nu=0.3)/Pk(nu=0.0)$')\n", + "plt.legend()\n", + "plt.title('As fixed')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a6d9d258-0b9f-4b54-81a8-477902254adf", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f6d45245-388f-4753-974e-fafe4eb4c52e", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b9938991-1d38-4976-b9ab-8accfb784977", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": 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3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.4" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/neutrino_test.py b/neutrino_test.py new file mode 100644 index 00000000..f5e59c3e --- /dev/null +++ b/neutrino_test.py @@ -0,0 +1,114 @@ +import sys, platform, os +import matplotlib +from matplotlib import pyplot as plt +import numpy as np +import camb +from camb import model, initialpower +import pyccl as ccl + +#------------- +#input parameters +h = 0.67556 +Omega_c=0.26377065934278865 +Omega_b=0.0482754208891869 +ns = 0.9667 +redshift = 0.9 +sigma8=0.8225 +#------------- + +H0 = h*100 +ombh2 = Omega_b*h*h +omch2 = Omega_c*h*h +default_As = 2e-9 + +def Pk_camb(mode = 'sigma8', mnu = 0): + ''' + The code ensures that low_k region (k<0.02) is the same with different neutrino mass + It also ensures that the sigma8 is fixed + ''' + pars = camb.CAMBparams() + pars.set_cosmology(H0=H0, ombh2=ombh2, omch2=omch2, mnu=mnu, neutrino_hierarchy='normal') + pars.InitPower.set_params(ns=ns, As = default_As) + pars.set_matter_power(redshifts=[redshift], kmax=2.0) + pars.NonLinear = model.NonLinear_both + results = camb.get_results(pars) + results.calc_power_spectra(pars) + omch2_no_nu = (Omega_c-results.get_Omega('nu'))*h*h + + if mode == "sigma8": + + pars.set_cosmology(H0=H0, ombh2=ombh2, omch2=omch2_no_nu, mnu=mnu, neutrino_hierarchy='normal') + pars.InitPower.set_params(ns=ns, As = default_As) + pars.set_matter_power(redshifts=[redshift], kmax=2.0) + pars.NonLinear = model.NonLinear_both + results.calc_power_spectra(pars) + results = camb.get_results(pars) + + #print(results.get_sigma8()) + default_sigma8 = results.get_sigma8() + + #As is computed from re-scaling sigma8 + + if mode == "sigma8": + scale = (sigma8/default_sigma8)**2 + As = scale*default_As + elif mode == "As": + As = 2e-9 + else: + raise ValueError("mode is either sigma8 or As") + + + pars = camb.CAMBparams() + pars.set_cosmology(H0=H0, ombh2=ombh2, omch2=omch2_no_nu, mnu=mnu, neutrino_hierarchy='normal') + pars.InitPower.set_params(ns=ns, As = As) + pars.set_matter_power(redshifts=[redshift], kmax=2.0) + pars.NonLinear = model.NonLinear_both + results.calc_power_spectra(pars) + results = camb.get_results(pars) + #results.get_Omega('nu'), results.get_Omega('de'), results.get_Omega('cdm'), results.get_Omega('photon') + + + print("sigma8:") + print(results.get_sigma8()) + + kh, z, pk_camb = results.get_matter_power_spectrum(minkh=1e-4, maxkh=2, npoints = 200) + return kh, pk_camb + + + +def Pk_ccl(mode = 'sigma8', mnu = 0): + if mode == 'sigma8': + cosmo_A = ccl.Cosmology(Omega_c=Omega_c, Omega_b=Omega_b, h=h, n_s=ns,\ + sigma8=sigma8, transfer_function = "boltzmann_camb", m_nu=mnu, mass_split='normal') + omega_m_A = cosmo_A['Omega_m'] + + cosmo_B = ccl.Cosmology(Omega_c=Omega_c, Omega_b=Omega_b, h=h, n_s=ns,\ + sigma8=sigma8, transfer_function = "boltzmann_camb", m_nu=0, mass_split='normal') + omega_m_B = cosmo_B['Omega_m'] + dm = omega_m_A-omega_m_B + + + cosmo1 = ccl.Cosmology(Omega_c=Omega_c-dm, Omega_b=Omega_b, h=h, n_s=ns,\ + sigma8=sigma8, transfer_function = "boltzmann_camb", m_nu=mnu, mass_split='normal') + + elif mode == "As": + cosmo_A = ccl.Cosmology(Omega_c=Omega_c, Omega_b=Omega_b, h=h, n_s=ns,\ + A_s=default_As, transfer_function = "boltzmann_camb", m_nu=mnu, mass_split='normal') + omega_m_A = cosmo_A['Omega_m'] + + cosmo_B = ccl.Cosmology(Omega_c=Omega_c, Omega_b=Omega_b, h=h, n_s=ns,\ + A_s=default_As, transfer_function = "boltzmann_camb", m_nu=0, mass_split='normal') + omega_m_B = cosmo_B['Omega_m'] + dm = omega_m_A-omega_m_B + + cosmo1 = ccl.Cosmology(Omega_c=Omega_c-dm, Omega_b=Omega_b, h=h, n_s=ns,\ + A_s=default_As, transfer_function = "boltzmann_camb", m_nu=mnu, mass_split='normal') + + + wavenumber = np.linspace(0.0001, 1, 1000) + scalefactor = 1/(1+redshift) + + pk_nlin1 = ccl.nonlin_matter_power(cosmo1, wavenumber, scalefactor) + + return wavenumber/h, pk_nlin1*h**3 + \ No newline at end of file