{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Initializing session" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from classy_sz import Class\n", "from scipy.optimize import fsolve\n", "from scipy.interpolate import interp1d\n", "import math\n", "\n", "font = {'family':'STIXGeneral'}\n", "axislabelfontsize='large'\n", "matplotlib.rc('font', **font)\n", "\n", "plt.rcParams.update({\n", " \"text.usetex\": True,\n", " \"font.family\": \"sans-serif\",\n", " \"font.sans-serif\": [\"Helvetica\"]})\n", "\n", "\n", "common_settings = {\n", " # LambdaCDM parameters\n", " 'H0':67.556,\n", " 'omega_b':0.022032,\n", " 'omega_cdm':0.12038,\n", " # 'sigma8': 0.831,\n", " 'ln10^{10}A_s': 3.047,\n", " 'n_s': 0.9665,\n", " 'tau_reio':0.0925,\n", " # Take fixed value for primordial Helium (instead of automatic BBN adjustment)\n", " 'YHe':0.246,\n", "}\n", "\n", "\n", "import os \n", "path_to_class_sz = os.environ['PATH_TO_CLASS_SZ_DATA']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initializing HOD parameters" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# best-fit from Kusiak et al. https://arxiv.org/pdf/2203.12583.pdf\n", "\n", "HOD_0 = {\n", "'sigma_log10M_HOD_ngal_0': 0.68660116,\n", "'alpha_s_HOD_ngal_0': 1.3039425,\n", "'M1_prime_HOD_ngal_0': 10**12.701308, # Msun/h\n", "'M_min_HOD_ngal_0': 10**11.795964, # Msun/h\n", "'M0_HOD_ngal_0' :0,\n", "'x_out_truncated_nfw_profile_satellite_galaxies_ngal_0': 1.0868995,\n", "'f_cen_HOD_ngal_0' : 1., \n", "}\n", "\n", "HOD_1 = {\n", "'alpha_s_HOD_ngal_1': 1.3023026,\n", "'sigma_log10M_HOD_ngal_1':0.97260617,\n", "'M1_prime_HOD_ngal_1': 10**13.440975,\n", "'M_min_HOD_ngal_1':10**13.127660,\n", "'M0_HOD_ngal_1' :0,\n", "'x_out_truncated_nfw_profile_satellite_galaxies_ngal_1':2.7461961,\n", "'f_cen_HOD_ngal_1' : 1., \n", "}\n", "\n", "HOD_2 = {\n", "\n", "'sigma_log10M_HOD_ngal_2' : 0.40339510,\n", "'alpha_s_HOD_ngal_2' : 1.6292653,\n", "'M1_prime_HOD_ngal_2': 10** 13.518607,\n", "'M_min_HOD_ngal_2': 10** 12.707242,\n", "'M0_HOD_ngal_2' :0,\n", "'x_out_truncated_nfw_profile_satellite_galaxies_ngal_2': 0.18379845,\n", "'f_cen_HOD_ngal_2' : 1., \n", "}\n", "\n", "HOD_common = {\n", "'z_min': 0.005,\n", "'z_max': 4,\n", "'M_min': 7.0e8,\n", "'M_max': 3.5e15,\n", " \n", "'dlogell': 0.2,\n", "'ell_max': 6000.0,\n", "'ell_min': 2.0,\n", " \n", "\n", "'redshift_epsabs': 1.0e-40,\n", "'redshift_epsrel': 0.0001,\n", "'mass_epsabs': 1.0e-40,\n", "'mass_epsrel': 0.001,\n", "# 'ndim_masses': 150,\n", "'ndim_redshifts': 50,\n", "\n", "'hm_consistency': 1,\n", "\n", "'delta for galaxies': \"200c\",\n", "'delta for matter density': \"200c\",\n", "'mass function': 'T08M200c',\n", "'concentration parameter': 'B13' ,\n", " \n", "'M0 equal M_min (HOD)':'no',\n", "'x_out_truncated_nfw_profile': 1.0,\n", "}\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initializing pressure profile parameters" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Battaglia 2012 pressure profile \n", "b12 = { \n", " 'pressure profile': 'B12',\n", " 'units for tSZ spectrum': 'dimensionless',\n", " 'x_outSZ': 4.,\n", " # 'truncate_gas_pressure_wrt_rvir': 0, \n", "\n", " 'use_fft_for_profiles_transform' : 1,\n", " 'N_samp_fftw' : 1024,\n", " 'x_min_gas_pressure_fftw' : 1e-5,\n", " 'x_max_gas_pressure_fftw' : 1e5,\n", " \n", " 'pressure_profile_epsrel': 1e-3,\n", " 'pressure_profile_epsabs': 1e-40,\n", " \n", " 'n_z_pressure_profile': 80,\n", " 'n_m_pressure_profile' : 80,\n", " 'n_l_pressure_profile' : 80,\n", "\n", " 'l_min_gas_pressure_profile' : 1.e-2,\n", " 'l_max_gas_pressure_profile' : 5.e4, \n", " \n", " }" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Saving dndz files in correct format" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAAGcCAYAAAB5kcI6AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8o6BhiAAAACXBIWXMAAA9hAAAPYQGoP6dpAAB18UlEQVR4nO3dd3hT59n48a/kbTxks4zBGMwO25gAgZABZK82Jm3S7DaQtnmbvL+2UNqmbboIdOZtmwbSNmnSLOw2zSIDhywSttkbi2GwWTYe4C2d3x+Pj2Ub20j2kc6RfH+uS9c52PLRLQTWree5n/uxaZqmIYQQQggRIHazAxBCCCFE9yLJhxBCCCECSpIPIYQQQgSUJB9CCCGECChJPoQQQggRUJJ8CCGEECKgJPkQQgghREBJ8iGEEEKIgAo3O4DW3G43RUVFxMfHY7PZzA5HCCGEEF7QNI3KykpSU1Ox2zse27Bc8lFUVERaWprZYQghhBCiEwoLCxkwYECH97Fc8hEfHw+o4BMSEkyORgghhBDeqKioIC0trel9vCOWSz70qZaEhARJPoQQQogg403JhBScCiGEECKgJPkQQgghREBJ8iGEEEKIgJLkQwghhBABJcmHEEIIIQJKkg8hhBBCBJQkH0IIIYQIKEk+hBBCCBFQknwIIYQQIqAk+RBCCCFEQEnyIYQQQoiAkuRDCCGEEAFluY3lRNeUlsKePVBYCBERkJwMo0ZB377gxV4/QgghhN9J8hECNA3+8x949lnIywOX68L7pKTAlVfC7NkwaxYMGhToKIUQQgjFpmmaZnYQzVVUVJCYmEh5eTkJCQlmh2N5paXw1a/CqlWerw0cqJILlwtOngSnE9zulj83fDjcdBPcfDNMn65GSYQQQojO8uX9W5KPILZvH9x4IxQUQGwsPPYY3H8/DBvW8n5VVbBpE3z4oRoZWb++5eiIwwHXX6+Skeuvh6SkAD4JIYQQIUGSj27gxAm49FJV2zFoELz5Jowd693PVlTABx/AW2/BypVw5ozne2FhcPnlkJ0NX/oSpKb6JXwhhBAhRpKPEFdVpeo3Nm5U0ydr1kDv3p27lsulRkLeekvddu3yfM9mU1My2dnw5S9DWpoh4QshhAhBknyEuIcfhmXLoGdPWLcOhg417tpOJ/z3v5CbC2vXtvze1Kkwdy7cey/06mXcYwohhAh+knyEsI8/hquuUud5eWrlir8UFqpVNLm58PnnalUNQFQUfO1r8ItfyLSMEEIIxZf3b5+ajOXn5zNp0iSv7rd06VKWLl3K3LlzKSsr8+VhRDtcLnj0UXX+8MP+TTxATbM8+ih89hkcOwZ//jNMmgS1tfCPf8DIkfDMM56kRAghhPCG18lHbm4uoBKLi8nLy2PBggUsWLCAyZMnM8vf75LdxCuvwPbtajXKL38Z2MdOTYVvf1vVmXz+uSp2rayEb34T/ud/2u4tIoQQQrTF52kXm81GRz+Sn5/PrFmzOHv2LABOp5MhQ4ZQUFBARkbGRa8v0y5tc7th3DhVEPrrX8OiRebG43LB738PCxeqkY/sbHj1VbVaRgghRPfjt2kXb2RmZvLss882/VmfcklOTjb6obqVt99WiUdCAnzrW2ZHo5KM738fcnIgMlLVhSxcaHZUQgghgoFfNpbLzs5uOn/ttdeYPXs2DoejzfvW1tZSUVHR4iZa0jRYvFidf+tbkJhobjzN3X47vPiiOv/d71TfECGEEKIjft3VtqysjNzcXHJyctq9z+LFi0lMTGy6pUkziQts3qyW1EZFqS6mVnPHHfCd76jz+fNVLYgQQgjRHr8mHwsXLmTVqlXtjnoALFq0iPLy8qZbYWGhP0MKSs8/r45f/rLandaKFi+GwYPVqphAF8MKIYQILoYXnOqWLl1KdnY2GRkZTXUfHSUhOik4bam2Vq00KS2F99+Ha64xO6L2vf222qguKgr271cb3AkhhOge/F5w2rpvR35+Pk6ns+nPubm5ZGZmNiUeK1as8CrxEBd6+22VePTv7/++Hl11441wxRUqYXrySbOjEUIIYVVeJx95eXksbFzOsHjx4qa+H63/7HQ6mTt3LnPmzMFms5GUlNT0c8J3//ynOt5zj/WXsdps8MQT6vwf/4DiYnPjEUIIYU3SXt3CKivV/i319bB7N4waZXZEF6dpajO6tWvhJz/xJCNCCCFCm6l9PoRxVq1SicewYcGReIAa/dBbwC9fDnV15sYjhBDCesLNDkC07+231fGmm8yNw1df+hKkpMCJE/Duu3DrrWZHZGGVlbBihVpPHRenKnYvv9zsqIQQwq9k5MOi3G545x11fuON5sbiq8hIuPNOdb5ihbmxWNrq1Wp3vm98A/76V/jNb2DmTLj7blW1K4QQIUqSD4vavBlOnYL4+OD8IHzHHer45ptQXW1uLJb07rtw/fVQVKQapPzgB56q4pdeUk1dGhrMjlIIIfxCkg+L0qdcrrlGjSQEmylTVJ+Pc+fU+6xoZv9++OpXVUHM7berTXsWL4YXXoAPPoDYWNWn/kc/MjtSIYTwC0k+LOqDD9Qx2KZcdDabZ/TjtdfMjcVSGhrUCEdFhRrSevlliInxfP/qqz3rq3/zG1izxpw4hRDCjyT5sKDz52HTJnV+9dXmxtIVevLx9tsy9dLkmWdgwwa1O+DLL7c9rJWdDQ8+qNYtf/ObMv0ihAg5knxY0Nq16v1m4EBITzc7ms7LylKdWauq4LPPzI7GAsrL4Wc/U+eLF8OAAe3f97e/heRk2LlTdWwTQogQIsmHBX3yiTpecYW5cXSVzebZi0afRurWnnwSSkrUCpeHHur4vklJ8Pjj6vzXv1YNX4QQIkRI8mFBn36qjjNnmhuHEST5aHTiBPzxj+p8yRII96LFzvz5ahvjI0fglVf8Gp4QQgSSJB8WU1MD69er82Af+QCYPVuNgOzY0c33evnLX9SLO3WqaiTmjZgY+M531Pkzz/gvNiGECDBJPixmwwbVXyolBYYONTuaruvVCzIz1XlenrmxmKa62pM8fPe7Khvz1oMPqlGStWtV/YcQQoQAST4sRp9yueIK396jrKzbT7289BKcOaOqh2+7zbefTUmBW25R588+a3hoQghhBkk+LGbjRnWcNs3cOIw0Z446fvihWj3arWgaPPWUOv/Od7yr9Wht3jx1fOEFWbMshAgJknxYjN7fIyvL3DiMNGWKes8tLla1k93K+vVquiQmRk2hdMacOTBoEJSVqX71QggR5CT5sJDiYrXVh90OEyaYHY1xYmNh4kR1/sUX5sYScM8/r4633w4OR+euYbd7durLyTEiKiGEMJUkHxayebM6jhoFPXqYG4vRLrtMHbtV8lFdDa++qs4feKBr15o7Vx1XrlQtcIUQIohJ8mEhoTjlotOTj7VrzY0joF5/XXU1TU+HK6/s2rUmTIAhQ1RC8847RkQnhBCmkeTDQvSRj0mTzI3DH/TkY9s2tdNtt6BvEHfffWrqpCtsNrXnC8jUixAi6EnyYSGhPPIxYACkpYHL5VnRE9JOn1bLe0DtYmsEferlnXfUhjlCCBGkJPmwiKIi1YHbbofx482Oxj+6Vd3H66+rTCsz07hucZmZarfB6mrPBkBCCBGEJPmwCH3K5ZJL1OqQUKT3Llm3ztw4AuK119TxjjuMu6bNBtddp87fe8+46wohRIBJ8mERO3aoYygtsW1Nn07Kzzc3Dr87eRI+/lidG5l8gCQfQoiQIMmHRejbdowZY24c/jR+vPrwrk8xhaz//Afcbpg8GQYPNvbaV1+tOrbt3w9Op7HXFkKIAJHkwyJ27VLH0aPNjcOf4uJgxAh1vmWLubH41euvq6O+OsVIiYme4pn33zf++kIIEQCSfFhAfT3s3avOQ3nkAzw73Ibs1EtFhWfK5dZb/fMYMvUihAhyknxYwMGDUFenupoOHGh2NP4V8snHBx+obHL4cM8wj9GuvVYdV6+Ghgb/PIYQQviRJB8W0HzKpau9qKwu5JMPfeO3m2/232OMH6/2iTl3LsTnr4QQoSrE3+qCg15sGsr1Hjp9g7nDh6G01NRQjNfQoPZeAbjlFv89TlgYXH65OteneIQQIohI8mEB+shHqNd7gPrAnpGhzkPuQ/vatVBSAklJnqJQf9H3ipFmY0KIICTJhwV0p5EPCOGpl7feUscbblDLYf3piivU8bPPVCdVIYQIIpJ8mKy2Fg4cUOfdYeQDYNw4ddQbq4UMPfnw55SLbsIESEhQq2u2bvX/4wkhhIEk+TDZgQPqg2tCAqSmmh1NYIwdq476iE9IOHBArZcOD/esRvGn5nUfMvUihAgyknyYbP9+dRwxQnX/7A705GP3buusFD1YepAnPn6Cx1c/zuGyw75f4N131XHmTNUILBD0qRdJPoQQQcbPE9PiYvQpl2HDzI0jkAYPVpvnVVWpHicjR5obz3NbnmPe2/NocKtM6Pfrfs/Ku1ZyxaArvL+I3m1UbwAWCDNmqOPataBp3Sd7FUIEPRn5MJmefAwfbm4cgWS3e4przZ56eWPvGzz45oM0uBu4ctCVZPbLpKq+ittX3E5RZZF3F6mt9Sx5veYav8V6gcxMiIyE06dlnxchRFCR5MNk+rRLdxr5AM/Ui5lFp8WVxTzwxgMAPDzpYVbfu5o1D6whs18mJdUl/PDDH3p3oc8/V8M4KSmeatpAiIryLB1auzZwjyuEEF0kyYfJuuPIB3hW9pg58vHD1T/kbM1ZJvWbxFPXP4XNZiMmIoa/3vhXAP657Z/sPr374hfSp1yuuSbwUx/TpqmjJB9CiCAiyYeJKio8W8vLyEdg7Ty1k+e3Pg/A0zc+TWRYZNP3Lu1/KV8a+SUAnlr31MUv1jz5CDRJPoQQQUiSDxMdPKiOvXsHboGEVejJx8GDUF0d+Md/cs2TAGRfks2l/S+94Pv/O/V/AXhh+wuU1ZS1f6ETJ2DbNnU+Z47RYV6cnnxs3w7nzwf+8YUQohMk+TBRd51yAejTB3r1Uos0dnsxs2GkYxXHeHXnqwAsmrGozfvMGDiD0b1HU9NQQ86unPYvtmqVOmZmqicVaAMGqJvLBRs3Bv7xhRCiEyT5MFF3LTYFVRqh130EOvn4W/7fcGkuZqbPJLNfZpv3sdls3DPuHgBe3P5i+xczc8pFN3WqOsrUixAiSEjyYaLuPPIBnv4ee/cG7jEb3A08m/8sAN/M+maH971r7F0ArDm6hlPnT114B7fbM/IRiK6m7ZkyRR03bTIvBiGE8IFPyUd+fj6TJk266P2cTidLly4lNzeXpUuXUlZW1tn4Qlp3bDDWnBnJx9v736aosojesb2bikrbk5aYxoSUCWhovH/w/QvvsGsXnDoFMTH+38W2I/r/yZDbqU8IEaq8Tj5yc3MBlYBczNy5c1mwYAHZ2dlkZ2fz0EMPdT7CECbJhzoGMvlYtnkZAA9OfJCo8KiL3v/6odcD8O7Bdy/85kcfqeOMGarZl1n0Xh+HD0NJiXlxCCGEl7xOPrKzs8nMbHt+vDlnq06LGRkZ5OXl+R5ZiKuo8LxPZGSYG4tZ9OTjwIHA7PFy4twJPij4AIBvZH7Dq5+5YdgNALxf8D4ud6ut6/Xk46qrDIuxUxITYehQdS6jH0KIIGB4zUdeXh7JycktvpacnOzViEl3cuSIOvbsCfHx5sZilrQ0NWNRXw+HDvn/8VbsWoFbczN1wFSGJg/16memDpiKI9pBaXUpG45v8HzD7fZs6Hb11X6I1kf6B4PNm82NQwghvGB48tFefUdpaWmbX6+traWioqLFrTs4fFgdBw0yMwpz2e1qN1+APXv8/3gv73gZgLvG3OX1z4Tbw7lmiFrJsvLASs83tm2Ds2dV5uhFHZTf6TFI8iGECAIBW+3SXlKyePFiEhMTm25paWmBCslUknwoo0apo7/rPgpKC1h/fD12m507Rt/h08/qdR8fOD/wfFGfcrn8cgi3wObQknwIIYKI4cmHw+G4YJSjtLQUh8PR5v0XLVpEeXl5062wsNDokCxJkg8lUEWnr+x8BYBZg2fRN66vTz971SBV05FfnM+5unPqi6tXN37T5HoPnT7tcugQtDPKKIQQVmF48jF79uw2v56VldXm16OiokhISGhx6w4k+VACkXxomuaZchnr/ZSLLt2RTlpCGg3uBtYdW6eqYz/9VH3TKslHUpKnclnqq4QQFtep5KP1FEp+fn7TKpeMVks3nE4nWVlZ7Y58dFeSfCjNkw9N889jbD+5nT1n9hAVFnXR3h7tmZk+E4DPjnym3twrK8HhgAkTjAu0q2TqRQgRJLxOPvLy8li4cCGg6jT0vh9t/TknJ4eFCxeSm5vLsmXLyMnpYG+MbkqSD2XYMNVq/exZOH3aP4+hj3rcOPxGEqM7t4Pf5QMvB+Czo5956j2uuALCwgyJ0RCSfAghgoRN0/z1ebNzKioqSExMpLy8PGSnYCoqPLvYVlR036W2uvR0OHoU1qyB6dONvbZbczP4qcEcLT9K7txcbr/k9k5dZ/fp3Yx+ejQx4TGc++xy7O9/AH/8Izz6qLEBd0VentpZNyMDCgrMjkYI0c348v4te7uYQHp8tKR3eD140Phrf1H4BUfLj5IQldDUMKwzRvUaRc+YntTWVeP+4nP1xZkzDYrSIHrRqdOphpKEEMKiJPkwgUy5tKQ359TbzRvppe0vAfClkV8iJiKm09ex2Wxcnn45Y09CeOV5lTWOG2dUmMZITobBg9X5li3mxiKEEB2Q5MMEejdPST4UPfkweuSjzlXHit0rAPja2K91+XrT06Yz42jjHy67zFr1Hrrx49Vx+3Zz4xBCiA5I8mECGfloyV/TLu8dfI/S6lJS4lK4enDXW6BP6T/Fk3zMmNHl6/mFJB9CiCBggdaM3Y8kHy01n3bRNLX6xQgv7VBTLneNuYswe9dHKTJTJpLRmHycnjiC3l2+oh/oU0HbtpkbhxBCdEBGPkxwtPENLD3d3DisYsgQlXBUVMCZM8Zcs6K2gjf3vQnA18Z1fcoFoEfRafpXQp0d1qW6Dbmm4fSRj127ArNVsBBCdIIkHybQO8h3k21sLio6GgYMUOdGTb38Z89/qGmoYVSvUUxMmWjMRdesAWBzKqwttejIwuDBEBcHtbWwf7/Z0QghRJsk+Qiw2lo4dUqd62+4wlP3YdSKl39t/xcAd4+7G5tR8ziNyceagbD++Hpjrmk0ux3GjlXnMvUihLAoST4C7PhxdYyOVn0+hGLkipfjFcdZfUht/NaZvVza1Sz52Hh8I27NolMvet2HFJ0KISxKko8AO3ZMHQcMMK6wMhQYOfLxbP6zaGjMTJ/JIMegrl8QoKQEdu8GYGtGLJV1lew7s8+YaxtNr/uQkQ8hhEVJ8hFger2HTLm0ZNTIR72rnuWblwPwraxvdTGqZj5v7Go6ahSDhqkdmjcc32Dc9Y0kIx9CCIuT5CPA9JEPKTZtqfVy2856fe/rFJ8rJiUuhS+N6twOtm364gt1nD6dSf3UBm5bTli0i6he83H8uBqxEUIIi5HkI8Bk5KNtQ4aoY3l5194v/7LxLwA8lPkQkWGRBkTWaN06dZw2rWn1TH5xvnHXN1JCgqfNuox+CCEsSJKPAJORj7bFxHR9ue2mok18euRTwmxhzJs0z7jgGhpg40Z1PnUqE/up5GPria3WLTqVug8hhIVJ8hFgMvLRvq62WV/y+RIA7hx7JwMSDPwL3rkTqqrUiMLIkYzsNZLo8Ggq6yopKLXo1vVS9yGEsDBJPgJMRj7a15XdbfeX7Offu/8NwILLFhgYFbB2rTpOmQJ2O+H2cMb1VW/ulq37kJEPIYSFSfIRQNJgrGNdGfn4zee/QUPjxmE3MrbvWGMDa1bvodPrPrYUWzT50Ec+du0Cl8vcWIQQohVJPgJIGox1rLMjHwdKDvDc1ucA+MGMHxgcFZ7kY+rUpi81FZ2esGjR6eDBqpCmthYKLDo1JITotiT5CKDm9R7SYOxCGRnqeOiQbz/3k49/gktzcf3Q65kx0OCt7ktKPHukXHpp05cz+2UCauRD68raYH8JC4NRo9T5zp3mxiKEEK1I8hFAzbubigvpq0PPnIFz57z7mS3FW3h156sA/HrWr40PakNjI7Hhw1sMV43tO5YwWxinq05zvPK48Y9rhDFj1HHXLnPjEEKIViT5CCDZzbZjCQmQnKzOvR39+OHqHwJw55g7mZAywfig9GLTZlMuANHh0YzqrUYWLFv3oScfMvIhhLAYST4CSK/5kJGP9umjH94kHx8f/pj3Dr5HuD2cn1/1c/8E1Ea9h65p6sWqK15Gj1ZHGfkQQliMJB8BVFSkjqmp5sZhZYMGqePFkg9N01j04SIA5mXOY2jyUOODcbth/Xp13myli87ynU71kY99+6CuztxYhBCiGUk+AkhPPvr1MzcOK9NHPg4f7vh+b+57k3XH1hEbEcuPZ/7YP8Hs2wcVFRAb63kjb6Zpua1VRz7S0iA+XnVoNWK7YCGEMIgkHwFUXKyOMvLRPm+mXVxuV1Otx2NTHqNfvJ+yOb2lemYmhIdf8G29xuRo+VFKqiy4gZvN5pl6kboPIYSFSPIRIJrmST5k5KN93iQf/9r+L3af3k1SdBLfn/59/wWzaZM6ZmW1+e3E6ESGJKkd8Sw7+iF1H0IIC5LkI0BKSz3T7pJ8tK958tFW+4zahlp++vFPAdVQzBHt8F8w+shHO8kH0LTJnKx4EUII70nyESD6qEdyMkRFmRuLlekFp5WVKmFr7W/5f+NI+RH6xfXjkUsf8V8g9fWwdas6nzy53btlpqgVL5btdCojH0IIC5LkI0BkpYt3oqM9I0Otp17O153nF5/+AoDHZz5ObESs/wLZvRtqalTzkaHtr6QJmpGPgwfV8xFCCAuQ5CNApN7De+3Vffxpw584ef4kGUkZfD3z6/4NovmUi739/yb6ipf9Jfs5V+dlW9ZASkmBpCS1bHjvXrOjEUIIQJKPgJGRD++11eujoraCJZ8vAeCJK58gMizSv0FcpNhU1zeuL6nxqWhobDthwe3rbTap+xBCWI4kHwEiIx/ea6vXxzObnqGspoyRvUZy55g7/R+El8kHBEG/D6n7EEJYjCQfASIjH95rPe1SXV/N79f+HoAfTP8BYfYw/wZQWwvbt6vzDopNdUHT6VRGPoQQFiHJR4DIyIf3Wicfz299npPnTzIwcSB3jb3L/wFs365Wu/TsCenpF7275fd4kd1thRAWI8lHgMjIh/eaT7s0uNz8bu3vAPj+Zd8nIizC/wE0Lza12S56d33Fy65Tu6hzWXAPFX3a5dAhOGfBolghRLcjyUcASHdT36SlQViYmv14ZeN7FJwtwBHt4IEJDwQmAL3ew4spF4D0xHSSopOod9ez65QFRxd69YK+fdX5nj3mxiKEEEjyERBlZeqNFCT58EZ4uEpAAP666S8APDDhAXpE9ghMAD4UmwLYbLam0Q/L1n3IHi9CCAuR5CMA9CmXpCTVREtc3KBBQJKTdSXvAvDNrG8G5oFraz2jAxMnev1jll/xInUfQggLkeQjAGQ3W98NHgxkPYOGxrVDrmVYz2GBeeDdu9UW9A6HZ/jFC5ZPPmS5rRDCQi7cJ1wYTh/5kCkX76WlN0DyiwA8nPVw4B54W2OjsPHjvSo21ekrXrae2IrL7fL/cmBfXXKJOkryIYSwABn5CAAZ+fDduT4fQvwJIup7csOwGwL3wM2TDx8M7zmc2IhYquqrOFB6wA+BdZE+8lFYCBUV5sYihOj2JPkIABn58N121KhHj0Nf8X8r9eY6mXyE2cMY13ccYNFN5pKSPP8AZcWLEMJkknwEgIx8+OZc3Tk+L3kdgOr196BpAXpgTet08gGQmaKmXiy/4kWmXoQQJpPkIwBk5MM3r+95nWpXFZQMo7ZgCmfOBOiBjx+H0lLVZER/o/aBvtzWskWnUvchhLAInwpOnU4nubm5ZGRk4HQ6mTdvHg6Ho9375uXlkZycjNPpJDs7m4yMDCNiDjrSYMw3ObtzAIg7fCfnsHH0KPTuHYAH1kc9Rozo1Jro5iteNE3D5kPBakDIyIcQwiJ8Sj7mzp3L5s2bAZVcPPTQQ+Tk5LR539zcXBYsWND05/nz57Ns2bIuhBqcNE1aq/uisraSDwo+AGBwVTY7gCNHYNKkADx4F6ZcAMb0GUO4PZzS6lKOlh8l3XHxfWECSk8+du82Nw4hRLfn9bSL0+ls8eeMjAzy8vLavf9rr73W+ahCSHk51NSocxn5uLiVB1ZS66plWPIwRvZUjbGOHg3Qg3cx+YgKj2J0b/UGb8mpF33aRVa8CCFM5nXyoU+hNJecnEx+ftvFdcnJyUyaNKlp+mXOnDlt3q+2tpaKiooWt1CiT7k4HBATY2ooQeHfe/4NwO2jbid9oJq2CJbkA7B2m/XmK15k9EMIYSKvk4+ysrI2v15aWtrm1/XpmCFDhpCTk0N2dnab91u8eDGJiYlNtzQfukoGAyk29V51fTUrD6wE4PZLbmfgQPX1I0cC8OBVVXCgsT9HF5IPfcXL5uLNRkRlPKn7EEJYQJdXu7SXlOTl5bFkyRKWLVvG8uXLmT9/fpv3W7RoEeXl5U23wsLCroZkKSdOqGNKirlxBIMPD33I+frzDEwcyKR+k0hvLJkIyMjHzp3gdqvK1i68WJP7q51wNx7fiBawNcI+kORDCGEBXicfDofjglGO0tLSNle7OJ1ONm7cyOzZs5k3bx4FBQWsWLHigroRgKioKBISElrcQsnJk+ooycfFvXtAbSJ307CbsNlsgR356GRb9dYmpEwg3B7O6arTHC0P1HyRD6ToVAhhAV4nH7Nnz27z61ltbDuen5/P5MmTm/6ckZHBokWL2h0lCWV68tG3r7lxWJ2mabx7UCUf1w29DqAp+Th9Gqqr/RyAAfUeANHh0YztMxaAjUUbuxqV8WTkQwhhAV4nH617dDidTrKysppGPvLz85tGNjIzM9m4seUv3pKSEjIzM7sYbvCR5MM7B0sPcqjsEBH2CK4afBWg6iPj4tT3/T4bZ1DyATA51TP1Yjn6ipdjx9RSLCGEMIFPNR85OTksXLiQ3Nxcli1b1qLHx+LFi8nNzQVUojJnzhyWLl3K8uXLO6z5CHV6zYckHx3TRz0uT7+cuEiVcdhsBGbqRdNg+3Z1bkTyodd9WHHkw+HwNJyRqRchhEl8ajKWkZHBkiVLAC5YvdK62djs2bPbnarpTqTmwzvvHXwPgOuGXNfi6+np6j3Sr0Wnhw+rvhcRETByZJcvd2n/SwG14sWtubHbLLaLwejRahnWrl0wbZrZ0QghuiGL/VYMPTLtcnHV9dV8fPhjAK4fdn2L7+kjH35NPvQpl0sugciu76B7Se9LiAmPoaK2gv0l+7t8PcNJ0akQwmSSfPiR2w2nTqlzST7a9+mRT6luqKZ/fP+mDqG6gEy7GFjvARBuDyezn6pv2nB8gyHXNJRsMCeEMJkkH35UUgIulzrv08fcWKysacpl6HUXbMYWkF4fBicfYPGiU1nxIoQwmSQffqRPufTsqcoJRNveK/AkH60F48gHWLzoVB/5OH4cuuHydyGE+ST58COp97i4YxXH2HtmL3abnVmDZ13wfT35KCxU01iGq6gAvfmdH0Y+tp7YSp2rzrDrGsLhgP791fmePaaGIoToniT58CNZZntxnxz+BICJKRNJikm64Pv9+4PdDvX1nmTOUDt2qGNqKvTqZdhlhyYPxRHtoNZVy85TOw27rmGk7kMIYSJJPvxIltlenL7K5cpBV7b5/fBwz4d0v0y9+GHKBcBms5GVqrr/St2HEEK0JMmHH8m0y8V9fORjoP3kA/xcdOqn5AOaFZ1ase5Dkg8hhIkk+fAjmXbp2LGKYxwsPYjdZufygZe3ez+/Fp1K8mFuHEKIbkmSDz+SaZeO6fUemf0ySYxObPd+fms05nJ5aj78kXw0rnjZdWoXVfVVhl+/S/Saj6IiWfEihAg4ST78SKZdOtZU75F+ZYf389u0S0EBVFVBdDQMG2bwxaF/fH/6xfXDpbnIL843/PpdkpjoKaaRTqdCiACT5MOPJPnomDf1HuDHaRd9ymXMGFXZajCbzcaUAVMAWHdsneHX7zKZehFCmESSDz+R1uoda17vMWPgjA7v67dpFz/We+imDVAbt609ttZvj9FpknwIIUwiyYefSGv1jnlb7wGe5OPsWaisNDCI7dvV0Y/Jx9QBUwFYW7gWTdP89jidIhvMCSFMIsmHn0hr9Y55W+8BkJCgmnKCwaMfARj5yErNIswWRvG5YgorCv32OJ0ijcaEECaR5MNPZJltx9YUrgFgZvpMr+7fvM26Ic6e9WQy48YZdNELxUbEMj5FJTeWq/uQFS9CCJNI8uEnssy2fSVVJew9sxeAaWnTvPoZw+s+9CmX9HTPsIqfNNV9FFqs7iMxEQYMUOcy+iGECCBJPvxEVrq0Tx8BGNFzBL1ivdtPxfDkIwBTLjopOhVCiJYk+fATST7a90XhFwBclnaZ1z8TzMmHXnS65cQWahtq/f54PtGnXqToVAgRQJJ8+InUfLRPHwHwJflIS1PHYEw+MpIy6B3bmzpXnfWajcnIhxDCBJJ8+InUfLStwd3A+uPrAc90hDcMLThtaICdjdvcByD5sNlsTaMflis6leRDCGECST78RKZd2rb95Haq6qtIjEpkVO9RXv9c8+TD7e5iEPv3Q20txMVBRkYXL+Ydy9Z96NMuxcVqBZAQQgSAJB9+ItMubdPrPaalTcNu8/6fX2oq2O1QX+9J7DpNn3IZO1ZdNAD0VT2WG/lISPDMaUndhxAiQCT58AO3G06fVucy7dJSU7HpAO/rPUBtvaLvg9bluo8A1nvoslKzsNvsFFYUcrzieMAe1yvSbEwIEWCSfPhB89bqvXubG4vVdGali86wolMTko+4yDjG9VXNzCw3+iF1H0KIAJPkww+ktXrbjlcc50j5Eew2O5f2v9Tnnzdsua0JyQfA1P6N+7xYre5Dkg8hRIBJ8uEHUu/RNv1Nd1zfccRHxfv884aseDl9WhVX2myq5iOA9LoPST6EEN2dJB9+IMts27bh+AbAMwLgK0NGPvRRjyFD1GqXANKnmjYVbaKmoSagj92hUY2rjk6cgNJSc2MRQnQLknz4gSyzbZuefHRmygUMTj4CPOUCMCRpCH169KHOVcfmos0Bf/x2yYoXIUSASfLhBzLtciGX28XmYvWGO7n/5E5dI9iTD5vNxoyBMwBYc3RNwB+/QzL1IoQIIEk+/ECmXS6098xeztWdo0dED0b18r65WHP6h/PTp6G6upOBmJh8AMxIa0w+CiX5EEJ0X5J8+IFMu1xoY9FGACalTiLMHtapayQlQY8e6vzYsU5coK4O9uxR5yYlH9MHTgfUkmO31tVWrQaSXh9CiACS5MMPJPm40MbjKvmYnNq5KRdQC1S6NPWyZ49qkepweC4UYBNTJhITHkNpdSl7z+w1JYY26SMfUvMhhAgAST78QGo+LrShSBWbdiX5gC4mH/qUy7hxKpMxQURYRNMmc5aq+9BHPmTFixAiACT5MJi0Vr9QbUMt206oN/7OrnTRGZJ8mDTlopuepqZePi/83NQ4WoiP9/zlytSLEMLPJPkwmLRWv9C2k9uod9fTM6YngxyDunStUEg+ZMWLEKK7k+TDYPqUi7RW99DrPS7tfym2Lk53dHp/F02zTPKh7+jrPOukuLLY1Fha0KdepO5DCOFnknwYTJbZXkhf6dLVeg/oQov14mI4cwbCwjyf8E2SEJXA2D6qtbulpl5k5EMIESCSfBhMVrpcSO9s2tnmYs01n3bRNB9+UB/1GDECYmK6HEdXWXLqRZIPIUSASPJhMEk+WqqsrWxaUmrEyMeAAepYXa3qa7xmkSkXnSWTD32Pl5MnffzLFUII30jyYTBZZtvSlhNb0NAYkDCAvnFd/0uJivJMaflU92HR5GPria2cqztncjSNZMWLECJAJPkwmNR8tLSleAsAmf0yDbtmp1a8WCz5GJAwgIGJA3FpLtYfW292OB4y9SKECABJPgwm0y4t5Z/IByAzxbjkQ1/x4nXRaXU17Nunzi2SfIBFp17GjFHHnTvNjUMIEdLCfbmz0+kkNzeXjIwMnE4n8+bNw+FwtHv/vLw8nE4nGRkZAMyePbtLwQYDmXZpSR/5mNhvomHX9HnkY9cu1f2td29LDUnNSJvByztettaKl3Hj1HH7dnPjEEKENJ+Sj7lz57J5s9oW3el08tBDD5GTk9PmffPy8sjJyWHZsmU4nU7mzJlDQUFB1yO2OJl28aiur2b3adUzwtRpl+ZTLia1VW+Lvsnc2mNraXA3EG736b+jf+gjQ9u3q+VEFvr7EkKEDq9/2zmdzhZ/zsjIIC8vr937z58/vylRycjIYNWqVZ0MMXg0b60uIx+w89ROXJqLXrG96B/f37Drdin5sJDRvUeTGJVIeW05209uNzRB67QRI1R3vIoKOHIEBg0yOyIhRAjyuuYjLy+P5OTkFl9LTk4mPz//gvs6nU5KS0txOBzk5+dTVlbWNPUSyjrTWl3TNGttrW6gLSc8xaZd7WzanM/Jx9at6jhhgmExGCHMHsZlaZcBFqr7iIz0dDrVkzYhhDCY18lHWVlZm18vbWMHzPz8fJKTk5vqQ5YvX05ubm6bP19bW0tFRUWLW7DS6z169fKutfqzm5+lz2/7kLQkiZ989BM0n7pmWV9+sUpMJ6YYV+8BnuSjuBjq6y9yZ7fbsskHWHSTOan7EEL4WZdXu7SVlJSWluJ0Opk9ezYOh4N58+Yxd+7cNn9+8eLFJCYmNt3S9KUMQciXlS6fHP6EeW/P40zVGSpqK/jFp7/gR6t/5N8AA0wf+TA6+ejdW/X70DQ4fvwidz58GCor1Q+MGGFoHEZovuLFMsmnPj0lIx9CCD/xOvlwOBwXjHLoUyutZWRk4HA4mr6nH9uaolm0aBHl5eVNt0KfN+2wDm+TD03T+PbKbwNw55g7eeq6pwBY8vmSptUhwa7B3cD2k+qTs9G1DDabDxvM6aMeo0dbcqe/yf0nE2GPoKiyiMNlh80OR5GRDyGEn3mdfLS3TDYrK+uCr/lS3xEVFUVCQkKLW7Dydpnt6kOr2XV6F3GRcTx949N8Z8p3+OqYr+LW3CzIW+D/QANg75m91DTUEB8Zz5DkIYZf3+u6DwtPuQDERsQ2JWeWqfvQRz4OHoTz582NRQgRkrxOPlonFE6nk6ysrBajGvqKmIyMDLKyspqmZPReH5mZFqjm9yNvl9n+ddNfAbhv/H04oh0APDnrScJsYeQ585pGDIKZXu8xIWUCdpvxvexCJfkAmJk+E4BPj3xqciSN+vRRGbSmSbMxIYRf+PSukJOTw8KFC8nNzWXZsmUtenwsXry4RVGpft/ly5ezZMmSbrHU1ptpl6r6KlYeWAnA1yd+venr6Y50br/kdgD+vOHPfosxUJqaixlc76ELyeTjqEWSD5C6DyGEX/nU1SgjI4MlS5YAkJ2d3eJ7rZuNORwOli1b1sXwgos3yUeeM4/qhmrSE9OZkDKhxfcenvQwK3atIGd3Dn++4c9EhkX6L1g/a2qr7qfeFV61WC8t9dxBr2OwoOlp07FhY3/Jfk6cO0FKnAU61I0bBx98IHUfQgi/kL1dDKTXfHQ07fLmvjcBuHXErRf0vpiZPpN+cf0oqynjg4IP/BWm37k1N1tPbAWMbavenFcjH/qn9owMSEz0SxxGSIpJYlxflRxZru5DRj6EEH4gyYeBvBn5WH1oNQDXDb3ugu+F2cOYe4lakvzvPf82PL5AcZ51UlFbQVRYFKN6jfLLY3iVfATBlIvu8oGXAxaq+2i+4sUqS4CFECFDkg+DuFxw6pQ6b2/k42j5UQ6VHSLMFtbU36G1m0fcDMD7B9+3Tt8HH+n1HmP7jiUizD/LW/Vpl4oKKC9v505BlHxYruh05EhPm3WvW8kKIYR3JPkwSEmJaqZps7XfWv2Tw58AMCl1EvFR8W3eZ8bAGcRGxFJ8rpgdp3b4K1y/8ldzseZ69ICePdV5u++NQZR8XJ6uRj62n9zO2eqzJkeDarM+qnHUSqZehBAGk+TDIM1bq4e3U8b72dHPALgi/Yp2rxMdHs2Vg64E4L2D7xkZYsDoy2z9vVGaPvXSZtFpbS3sVjvqBkPykRKXwvCew9HQrNNqvfkOt0IIYSBJPgziTb3HxqKNAEwdMLXDa103RNWDBGPyoWma3/Z0aa3DLqe7d0NDAyQnw4ABfo3DKHrdx2dHPjM5kkZ63YeMfAghDCbJh0EuttKlqr6KHSfVNMrk1MkdXksvRl1zdA2VtZWGxRgIRZVFnK46TZgtrGkFh790WHTafMrFwB11/cly/T5k5EMI4SeSfBjkYiMfW09sxaW5SIlLYUBCx5/EhyYPJSMpg3p3PR8f/tjYQP1Mr/cY2WskMRExfn0sr5OPIKEnH5uKNnG+zgJtzfWRjwMHpM26EMJQknwY5GIjHxuPqymXyamTL+jv0ZrNZmPW4FkAfHLkE8NiDIRA1XtA6CUf6YnppCWk0eBuYN2xdWaHozLplBS11FZGP4QQBpLkwyAXSz70lSve1kE0zf8ftcj8v5cCsdJF127BqaYFZfJhs9maVr1Y5nXX92NqY0dqIYToLEk+DHKxaZedp9QGXWP6jPHqevqbUH5xvjWG4L1kxsjHsWOqz0qTw4dVf4rISNWvIojMHGixfh+TJqnj5s3mxiGECCmSfBiko5EPt+Zm1+ldgPfJR3piOgMSBtDgbmD98fVGhelXJVUlHC1XcyCt963xh5QUtay5ocHz9w943ijHjFGNsoKIXvex9tha6lx1JkeDjHwIIfxCkg+DdDTycbT8KOfqzhEZFsnQ5KFeXc9ms1lv6eVF6FMuGUkZJEb7fy+VsDDo31+dt6j70JOPrCy/x2C0kb1G0iu2FzUNNWwq2mR2OJ6Rj127oKbG3FiEECFDkg8DNDTAmTPqvK2RD33KZUTPET61Gw+2ug+9rXogplx0bRadbmp80w7C5MNySeeAAapzXkMD7AjOjrtCCOuR5MMAp0+rGke73dPyuzlf6z10et3H2mNrqXfVdzlOfwtksalOTz6OHGn8gqYF9cgHWKzfh80mdR9CCMNJ8mEAvd6gTx81FdBaZ5OPS3pfQlJ0ElX1VWw7af0uk4EsNtUNGqSOhw83fuHQITh7VhWbjh4dsDiMpCcfa46uweV2XeTeASB1H0IIg0nyYQCjV7ro7DY7UwZMAWDD8Q2dji8QztWdY3/JfiCwIx968nHoUOMX9CmX8eNVAhKExvcdT3xkPBW1FWw/aYH+GjLyIYQwmCQfBuhopUuDu4G9Z/YCvicfAJemXgpg+RUv205sQ0Ojf3x/+sZ1sMGNwQYPVsemkQ89+dDfMINQmD2M6QOnAxZZcquPfOzYAXUWWIEjhAh6knwYoKORj4LSAmpdtcRGxDLIMcjnawfLyEfTZnL9AjfqAS2TD00j6Os9dHq/D0sUGw8aBElJUF+vVr0IIUQXSfJhgI5GPnafVtu6j+o1CrvN979ufRO6vWf2UlZT1tkQ/S7/RGO9R0rg6j1A7Wxrt6tVoCeK3KGTfKR7mo1pmmZuMDabZ/RDpl6EEAaQ5MMAHY186HUQI3t1rtNm7x69yUjKALBG34d2mLHMFlQPsbQ0dV68pgDKyyEqCi65JKBxGC0rNYvo8GhOV51mX8k+s8PxTGNJ0akQwgCSfBigo5EPPfkYljys09e/tH9j3ccxa9Z91DTUNHVwDfS0C3iKTqs+a/xUPmFC0HU2bS0qPIqpA6YCFqv72GTdBFgIETwk+TBAhyMfpSr5GN5zeKevP6W/qvuwatHpzlM7aXA30DOmJ2kJaQF/fL3uI3xr8DYXa4ulmsxNVtN/bNsGtbXmxiKECHqSfBjAm5GPriQf+sjHhuMbzJ//b0PzKRebzRbwx9eTD4ezceQjiFe6NNe87sN0gwerTqd1dZ4dg4UQopMk+eiiujooLVXnrUc+ymvKOXX+FADDenZ+2mViykTC7eGcPH+yaeM2K2la6RLA/h7NDR4MNtyknQqNYlPdtAHTCLeHc7T8KEfKjlz8B/zJZoMpagSO9dYcgRNCBA9JPrrolMotCA+H5OSW3ztQegCAlLgUEqISOv0YMRExjOs7DrDmktumlS4BLjbVDRoEwzhAD1clxMTAqFGmxGG0HpE9mNRPjeJ8cuQTk6MBpqoaFNatMzcOIUTQk+Sji/R6jz591JLP5oyYctFZte6jwd3Q1IXTrORj8GCYhBr10MZPUJlgiNCnXj45bIHkQ0Y+hBAGkeSji7yq90g2Lvmw2sjH3jN7qWmoIT4yniHJQ0yJITUVpthVsWnliNCYctFdOehKAD46/JG5gYCn6NTpVLspCiFEJ0ny0UXe9PgwYuRDLzrdXLyZBndDl69nFL3eY0LKhE41UTOC3Q6XRark43hKaBSb6i4feDlhtjAOlR0yv+7D4fBMacnohxCiCyT56CKvenx0odhUN6LXCBKiEqiqr2LXKeu0uDaruVgLDQ2MrVPJx564yebF4QfxUfFM7q+ekyVGP2TqRQhhAEk+uqi9kQ9N05oKTo0Y+bDb7E2t1q1U96EXm5q10gWAHTuIdldTRiLbajvXSdbKrhp0FSDJhxAidEjy0UXtjXycOn+KitoKbNia2qN3ldXqPtya2xojH41vhBu4FOfh0Psn3ZR8HPrI/D4vzZMPt9vcWIQQQSv0flMHWHsjH86zTgDSEtOIDo825LH0uo91x6yx1LGgtIDKukqiwqI6vXeNIRqXfq5jKocOmReGv0wfOJ0IewSFFYVN/65MM3asWs5cUQH7LLDnjBAiKEny0UXtjXzobxJGjXoATXt97D69m4raCsOu21kbizYCqtg0IszEvVSaJR+HD5sXhr/ERsQyZYAacTB96iU83NPETaZehBCdJMlHF11s5CPDYVzy0TeuL4Mdg9HQLDH1svG4Sj70ERlTlJY2fQJfzxSKikJz6xF96mX1odUmR4Kn2djnn5sbhxAiaEny0QU1NVBWps5bj3wcKlPj/0aOfIBn9MMKUy8bilQCpBfCmhOEikEbNozaHj3RNEJy9KN50anpdR+Xqw3v+NQCe84IIYKSJB9doI96REaqFgjN+WPaBayTfDS4G5qKTfWloKZonHKxTZ1KRuNfdUGBeeH4y7S0aUSFRXHi3An2lZhcazFjhtrrZf9+z7yjEEL4QJKPLmg+5dJ6M9dAJB9mfgLedWoX1Q3VJEQlGLKUuNP0uoMpUxjW2E7l4EHzwvGX6PBopqVNA9SqF1MlJcE4tdcQn31mbixCiKAkyUcX6B/6Wtd71DbUcqziGGB88jEhZQJRYVGUVJdQcNa8j/h6sWlWapZpnU1xuz3Jx9SpDB2qTg8cMCccf7NUv4+Zas8ZmXoRQnSGJB9dUFysjv36tfz6kfIjaGjERcbRK7aXoY8ZGRbJpFTVQtzMqRe94NXUeo8DB+DsWYiOhnHjmpKPUBz5AE/y8fHhj82v+7jiCnX8xAIb3gkhgo4kH12gJx+pqS2/rk+5DHYMxtZ6PsYAU/urqZe1hWsNv7a39JEPU1e66Fu7Z2VBRERIT7sATBkwhZjwGE5XnWbXaZNb7OtFpzt2qBVHQgjhA0k+uqCoSB1bj3z4q95D11T3cdyckY/q+mp2nNwBmDzyoScfjUs/9ZGPQ4egvt6kmPwoMiySGQNnABao++jTB0Y2NpZbs8bcWIQQQUeSjy7Qk4/2Rj78nXxsO7GNqvoqvzxGR7ac2IJLc9G3R18GJAwI+OM3aVbvAep1iI4GlwuOmLwBrL9Yqu5Dpl6EEJ3kU/LhdDpZunQpubm5LF26lDK9ycVFLFy40Ov7BpP2aj78nXwMSBhAanwqLs3F5qLNfnmMjujNxSb3n+yXaSWvnD8P27er88b9Rux2Qr/uY7Cn7sPldpkbjBSdCiE6yafkY+7cuSxYsIDs7Gyys7N56KGHLvoz+fn5LF26tNMBWplZIx82m41pA9Syy7XHAl/30VTvkWpivcfmzWqIo39/GOAZfQn1FS9ZqVkkRCVwtuYsW05sMTcYve4jPx8qK82NRQgRVLxOPpzOlhtaZWRkkJeX59XPZWT4503YTA0NcOqUOm8+8qFpmt+TD4DpadMB+PRI4D91Nq10MbO52NrGpEvfZbVRqBedhtvDm6ZeVhWsMjeYtDTIyFBLnqXfhxDCB14nH3l5eSQnJ7f4WnJyMvn5+e3+TG5uLtnZ2Z2PzsJOnVK/c+12VXunK6kuobJOfQoc5Bjkt8efma6GvNccXRPQ4ffT509zoFQNK0zpP+Ui9/YjvchxxowWXw71aReAORlzAPjA+YHJkQCzZqnjKpMTISFEUPE6+WivZqO0nWV2ZWVlOFr3HG9DbW0tFRUVLW7BQK/36NsXwsI8X9dHPfrH9yc6PNpvjz8hZQLxkfGU15az/eR2vz1Oa18UfgHAJb0vISkmKWCP24Lb7dnUrJ3kI1SnXQCuGXINAJ8f/ZzzdedNDkbFwgcWSISEEEGjy6td2ktKVqxYwezZsy/684sXLyYxMbHplpaW1tWQAqK9eo9DZ/2zoVxrYfawpmWXgZx6+bxQvenr0z6m2LNHNReLjYUJE1p8S592CdXltgBDk4eSnphOvbvelGm3Fq6+Wg3/7d4Nx46ZG4sQImh4nXw4HI4LRjlKS0vbHN3Iy8vjjjvu8Oq6ixYtory8vOlWWFjobUimMmulS3P61MsnRwK31NESyYdeXzBtGkREtPjWgAHQo4eqyQnFDeZAFRzrox8fFJg84pCcrJq8gUy9CCG85nXy0d4oRpb+i6eVFStWsHz5cpYvX47T6WTx4sVt1odERUWRkJDQ4hYMzFrp0twV6arPwqdHPg1Iu+3ahlo2FW0CYPpAE5OPduo9QG3wp/e+2r07gDEFmF73scppgTd8fepFkg8hhJfCvb1j6xUrTqeTrKysppGP/Px8HA4HGRkZFyQq8+fPZ/78+SG16qXdkY+ywCUfk1InERMeQ0l1CbtP72Z0n9F+fbzNxZupc9XRO7Y3Q5KG+PWxOtRB8gEwapRaibtnTwBjCrBZGbOwYWPX6V0crzhO/4T+5gVzzTXwy1+q5EOvwhZCiA749FsiJyeHhQsXkpuby7Jly8jJyWn63uLFi8nNzW1x/7KysqYeH0uWLOlwZUywudjIx2DHYL/HEBkWyWVplwGBqfv4/GjjlMvA6eY1FyssVO1Lw8IuWGarGzVKHUM5+UiOSSYrVY065jkvvuTdr6ZOhYQEOHMGNm40NxYhRFDwKfnIyMhgyZIlZGdns2TJkhb1Hjk5OSxYsKDF/R0OBwsWLEDTNJYtW0ZmZqYhQVtBWyMfDe4GCstVzcrgJP8nHxDYuo81hWrEwdR6D32Vy4QJEB/f5l26Q/IBFpp6iYiAa69V52+9ZW4sQoigIOOjndTWyEdheSEuzUVUWBQpcSkBiUNPPvxd9+Fyu/jksEpw9FoTU1xkygU8ycfevWoWIFTpRaernKtwayY/0ZtvVkdJPoQQXpDkoxNcLjh5Up03H/lomnJJGozdFpi/2in9pxAZFknxueKm5l/+sPXEVspry0mISmBiv4l+e5yL8iL5GDIEwsOhqkrN0oSqaWnT6BHRg1PnTzXtMmya669XtR7bt4furn5CCMNI8tEJ7XU3PVSmenwEot5DFxMR07TPiz/bbeu7qM5Mn0m43es6ZWOVl3s2k5ve/tRPRISn30coT71EhkVy5aArAQssue3VSy19BnjnHXNjEUJYniQfnaDXe/Tpoz5h6/QGY4FMPgCuHaLm298veN9vj7H60GrAs6W7KdauBU1TQxutlxm1cskl6hjKyQd4pl78+dp7TZ96efNNc+MQQlieJB+d0G53U33kI0DFprprh6rk46PDH1HnqjP8+vWuej47qhp7mZp86M3FOphy0XWXotPrh14PqJqfylqTd5a95RZ1XL0a2ul8LIQQIMlHp1ysu2mgRz4mpEygd2xvztWdY23hWsOvv7l4M+fqzpEUncT4lPGGX99rXtR76PTkI5QbjQEM6zmMYcnDqHfXm7/kdtQoNeRUXy+jH0KIDkny0QlWG/mw2+zMGaKWXfpj+P1D54cAXDHoioAV0l6gthY2bFDnXiQfY8eq444daqYmlN0w7AYAVh5YaXIkwNy56tiq548QQjQnyUcntDXycb7uPKfOnwIC0920NX/Wfaw8uLLFY5hi40aoqYHevWHEiIvefeRIiIyEigo4fNj/4ZmpKfk4uDIgbfY7pCcf77+vCoSFEKINknx0QlsjH4fLDgPgiHbgiHYEPCa98DC/OJ/iymLDrltSVcK6Y+sAz5ucKT5Sq2248kq1gctFRETA6MZu81u3+i0qS5iZPpPYiFiKKovYdnKbucFcconK/OrqpOeHEKJdknx0QlsjH2Yss20uJS6FS/tfCsCb+4ybb3/v4Hu4NTdj+4xlYOJAw67rs48/Vscrr/T6R8Y3lqdsM/n92N+iw6OZNXgWYIGpF5vNM/rx6qvmxiKEsCxJPjqhrZGP5g3GzPKlkV8C4L/7/mvYNd85oHo23DjsRsOu6bPaWvjiC3XeieQj1Ec+wPP6mJ58ANx1lzq+956nG58QQjQjyYeP2utualaPj+ZuG3kboApEK2oruny9BncD7x18D4Abh5uYfGzYoOo9+vTxLGPxwoQJ6hjqIx8A1w9TS27XHltLaXWpucGMHKk2/XO54OWXzY1FCGFJknz46NQp9TvVboe+fT1fN3vaBWBkr5GM6DmCenc97x54t8vX+6LwC87WnCUpOompA6YaEGEnNZ9y8WE3XX3k4/Dh0G87MTBxIGP6jMGtuZsSRlPdd586Pv+8qWEIIaxJkg8fHTumjv36tepu2ph8mLHSpTl99OP1va93+Vqv7XwNgJtH3GxeS3XoVL0HQFISDGwsU9G7soeym4erDqNv7HvD5EiAr3xFLTfavr17zHsJIXwiyYeP9ORjwADP1zRN80y7mFjzAfDlUV8G4K39b3Gu7lynr1PvqmfF7hUA3DXmLkNi65RO1nvoukvRKXgSz5UHVlLbUGtuMMnJcOut6vxvfzM3FiGE5Ujy4aO2ko+S6hIq61Rr60GOQYEPqpnJqZMZljyMqvoq/rPnP52+Tp4zjzNVZ+gd25tZGbMMjNBH69ereo++fVUtgY/0uo/8fGPDsqKs1Cz6xfXjXN25po0ATTVvnjq+8AJUmtz6XQhhKZJ8+Kit5EMf9egX14/o8GgTovKw2WzcO/5eAF7Y9kKnr/PyTlUo+JXRX7HOlIsP9R66yZPVceNGwyKyLLvNzq0j1GjDG3stMPUya5ZqCFdZCS+9ZHY0QggLkeTDR3rykZbm+ZpZbdXbc/e4uwG1E+2ximM+//z5uvO8vkfVjNw11sQpF+h0vYdOTz5271bdTkPdrSMbk499b+DW3OYGY7PBN7+pzv/yl9Dvcy+E8JokHz7qaOTDzJUuzQ1yDGJm+kw0NF7c9qLPP//i9hc5X3+eoclDzV3lUlMDaxs3yutk8pGSoopONQ02bzYuNKu6atBVxEfGU3yumE1Fm8wOR616iY2FnTs9iaQQotuT5MNHbSYfFlnp0twDEx4A4OlNT1Pvqvf65zRN4//W/x8Aj0x+BFsnpjoMo/f3SEnxaj+X9kyZ4rlcqIsKj2rq+WGJqReHA+6/X50/+aSZkQghLESSDx9oWtvJR1N3U4uMfADcOeZOUuJSOFZxjFd3et/m+sNDH7LnzB7iIuO4f8L9/gvQG12s99BdqrrOd4vkA2iq+zCy022XfO97EBYGH3zQPYafhBAXJcmHD86cUftl2Wzt7OtikZoPUJ+AH53yKABLv1jq9W6nT61/CoD7x99PYnSi3+LzyocfqmMnp1x0evKxfn3XwgkWNwy7gQh7BLtP72bP6T1mhwODB8Odd6rzxYvNjUUIYQmSfPhAH/Xo21f1TwJwuV0cKTsCWGvkA+DhrIeJi4xj56mdXu35sfH4Rt7e/zY2bDxy6SMBiLAD58556j1mz+7SpSZNUh1pjx9Xt1DniHYwZ8gcAHJ255gcTaMf/EAd//Of7tF0RQjRIUk+fNDWlEtRZRH17nrC7eEMSBjQ9g+axBHt4OFJDwOwMG8hDe6Gdu+raRrfX/V9AO4dfy8jenW+xsIQn30G9fUwaBBkdK2WpkcPGDNGnXeXqZevjP4KAK/tes3kSBqNHq26nmoaLFxodjRCCJNJ8uGDjuo9BiYOJMweZkJUHfvh5T8kOSaZXad38af1f2r3fn/f8nc+OfIJsRGxPHHlEwGMsB2rVqnjnDldqvfQTW1ctLNmTZcvFRRuGXELkWGR7D69m12ndpkdjvKrX0FEBLz/vuf1FUJ0S5J8+KCjlS5Wm3LRJcUksXiWmmf/0eofsf3khZuc7Di5g0ffU/UhP7/y56Q70gMaY5vy8tSxi1MuOr1spLus9nREO7h2yLWAhUY/hgyBb31LnX/3u2pkSwjRLUny4YO2ko+C0gIAhiYPNSEi7zyU+RDXDrmW6oZqbnjpBnac3NH0vR0nd3DNv66hqr6Ka4Zcw2NTHzMvUN2JE7CjMcarrzbkkldcoY5bt0J5uSGXtDx96mXFrhVeFxz73eOPq31fduyAP/7R7GiEECaR5MMHbSUfB88eBKydfNhsNl65/RVG9RrF8crjTFo+ibk5c7nr33dx6d8u5cS5E4ztM5aXv/yyNaaOVq9Wx4kToVcvQy6ZmgpDh4Lb3X2mXm4ecTNRYVHsK9nX5oiXKXr2hN/+Vp3/9Kdw6JC58QghTCHJhw8KC9Wxf3/P1w6WWj/5ADX9subBNdw0/Cbq3fXk7s7llZ2vUNNQw3VDr2P1favpGdvT7DCV5vUeBupuUy8JUQncMOwGQI1+WMb996sXo7oaHnwQXC6zIxJCBJgkH15yu+HoUXWe3lgSoWkaB0oOANZPPgCSY5J56863WPv1tfzq6l/x8yt/zqf3f8rKu1bSK9aYEYYu0zTD6z10+tTLJ58YellLu2P0HYDaKND0vV50NhssX66WIX38Mfz612ZHJIQIMJtmmclgpaKigsTERMrLy0lISDA7nCYnT6ou3zab6vgdGQklVSX0+o160z7/w/PERsSaHGUI2LcPRo6EqCg4exZiYgy7dGGh2uclLAxKS8FC/7z8pqq+in6/60dFbQUf3/cxVwy6wuyQPF58Ee69VzVh+fDDLjeTE0KYy5f3bxn58NIR1UeM1FRPgzF9yqV/fH9JPIyiT7lMn25o4gFqJ+KMDDXK311GP2IjYrnjEjX68fy2580NprV77lEbz7ndcPvtcPCg2REJIQJEkg8v6VMuAwd6vhYs9R5BRZ9yMbjeQ3etWn3K++/75fKWdN+E+wDI3Z3L+brzJkfTyl//qvrfl5bCjTeqoxAi5Eny4SV95CO9WQsMST4M1tAAH32kzg2u99Bdd506vveeXy5vSdPTpjMkaQjn6s7xnz3/MTuclmJi4I03VFa/fz9kZ0NtrdlRCSH8TJIPL7U58hEEy2yDysaNUFEBSUlqma0fXHUVhIdDQUH3GeW32WzcN16Nflhu6gVUMdVbb0FcnEo+v/IVaUAmRIiT5MNLMvIRAO++q46zZ6uqUD+Ij4cZM9R5d5p6uWf8PQB8dOgjjpYfNTmaNowbB//9ryo0fuMNuPtuNRImhAhJknx4SWo+AkBPPq6/3q8P0x2nXgY5BnHVoKvQ0Hhuy3Nmh9O2WbPUrrcREbBiheoB4rbI8mAhhKEk+fBS6+SjrKaMM1VnABiSNMSkqELIqVOwaZM617MDP9Evv3q16nPVXTyU+RAAy/OXU++y6LTGDTeoxCMsTC3FnT9fEhAhQpAkH144fx5KStS5Pu2i7+nSp0cf4qPiTYoshOhzIBMmQL9+fn2oceNUi/yqKs/imu7g9ktup2+PvhRVFvHfvf81O5z23XYbvPSS6v/xt7/B//6vaj4nhAgZknx4QR/1SEiAxER1vq9kHwAjeo4wKaoQE6ApF1CN4m67TZ2//rrfH84yIsMim0Y//rLxLyZHcxFf+Qo81zg99H//Bz//ubnxCCEMJcmHF9oqNt17Zi8AI3uNNCGiEONyeUY+brghIA/5pS+p45tvdq+6xvlZ8wmzhfHJkU/YeWqn2eF07N574U9/Uuc/+5lKQoQQIUGSDy+0VWwqyYeBNmxQzaUcDpg6NSAPOXOm2tm9pKT77HILMCBhALeOvBWApzc+bXI0XnjkEXjiCXX+6KOqHkQIEfQk+fCC4SMfNTXqE93ll6t9TL78ZXj77e47r61PucyZo5pwBEB4ONx8szrvTlMvAI9MfgSAF7a9QHlNucnReOHxx+E731Hn998PW7aYGo4Qout8Sj6cTidLly4lNzeXpUuXUlZW1u598/PzWbp0KUuXLmXu3Lkd3tfq9ORDH/lwuV3sL9kPdCL5KChQ7aS/8x31kXvfPvXud/PNcMst3bO9dADrPZr78pfV8d//7l67ul856EpG9x7N+frz/HXTX80O5+JsNvj979UypepquPVWtTpKCBG0fEo+5s6dy4IFC8jOziY7O5uHHnqo3fvm5eWxYMECFixYwOTJk5k1a1aXgzXLoUPqOHiwOh4pP0Ktq5aosCjSE9Pb/8G2LnTFFbBjB/Tpo+awV62C735XNVd6+23VAau42PgnYVXFxQFbYtvaNdeomZ7jx+HTTwP60Kay2WwsmL4AgD+s+wPV9UGw3jgsDF55BYYPV9sTZ2dLF1QhgpjXyYfT6Wzx54yMDPLaWaeYn5/P4sWLm/6cnZ1Nfn7+BdcIFnrYGRnqqE+5DO85nDC7l504z59XIxvHj8Mll6ih4//5H9XN87e/hXXr1PrPPXvUKEhNjR+eiQW9/bY6Tp7s9yW2rUVHq/cwUCs7u5M7x9xJemI6p86f4rmtFm061prDobqfJiTAZ5/BT39qdkRCiE7yOvnIy8sjOTm5xdeSk5PJz8+/4L6ZmZk8++yzTX/Wp1xa/3wwqKqCEyfUuZ587DvTuMy2lw/LbL//fdi5U+1jsWoVpKa2/P6ECWqf9549YfNmVWjXHbzxhjreeqspD/+1r6ljTk73yfcAIsIi+N5l3wNg6edLqXPVmRyRl0aOhL//XZ0/+aTqFCeECDpeJx/t1WyUtlOjkK1/pARee+01Zs+ejcPhuOB+tbW1VFRUtLhZiT7lkpio9juDZsWmPb2s9/j8c7V1OMC//nVh4qHLyFBDy3a7+gX74otdiDwInD/v6fJ1yy2mhDBzphpwqqiAd94xJQTTfH3i10mJS+FI+RH+nv93s8PxXnY2PPSQKtC++244c8bsiIQQPuryapeLFZKWlZWRm5tLTk5Om99fvHgxiYmJTbe0tLSuhmSo5lMuNps631viw0oXTYP/9//U+YMPqv0rOjJnjuppAPDYY6FdWLdqldo+ffBgGDPGlBDsdrjrLnXe3aZeYiJi+PHlPwbgF5/+gqr6KpMj8sEf/qBGQYqL4etf774rxYQIUl4nHw6H44JRjtLS0jZHM5pbuHAhq1atavd+ixYtory8vOlWWFjobUgB0breA3xcZrtihepj0aMH/OpX3j3oD36gpmFKS1UCEqr0KZdbbvFkdibQp17eeQfOnjUtDFM8NOkhBjkGUXyumD9v+LPZ4XivRw949VWIjFSd4kJ9lFCIEON18jF79uw2v56VldXuzyxdupSFCxeSkZFBWVlZm6MkUVFRJCQktLhZiT7toicfJVUlnDqvRiMuWvNRW6sSCYCFC1W9hzciItSeFna7moYJxQ1IXC5PsalJ9R66cePUwEtdHeTmmhpKwEWGRfLElaqJ168++1XTv+2gMH68p+j00UehqMjceIQQXvM6+cho/tEftfolKyuraUSj9WqW3NxcMjMzmxKPFStWXHSUxIpaj3xsP7kdgMGOwcRFxnX8wy+8AIcPq1Uc+tSLtyZN8hSdfve7odeIYu1aNVfvcKjlxSa75x51fC5IFn4Y6Wtjv0Zmv0wqaiv40Yc/Mjsc3yxYAFlZUFYG8+bJ9IsQQcKnmo+cnBwWLlxIbm4uy5Yta1HHsXjxYnIbPzY6nU7mzp3LnDlzsNlsJCUlsXDhQmMjD5DWyceOUzsAGNd3XMc/2NAAS5ao8+9/Xw0T++onP1Fvztu3q0QmlOhTLjfeqEZ6THbvvaqVxNq1arVzdxJmD+P/rlP7pvx9y9/ZXLTZ5Ih8EB4O//ynmn555x11LoSwPs1iysvLNUArLy83OxTN7da0mBhNA007cEB97RtvfEPjZ2g//vDHHf/wK6+oH+zZU9MqKzsfxG9/q66TmqppVVWdv46VuN2aNniwel4rVpgdTZNbblEhffe7Zkdijrv+fZfGz9AmPjNRq2uoMzsc3zz5pHrxEhM1rbDQ7GiE6JZ8ef+WvV06cPKk6uZst3taq28/paZdOhz50DTVgwBUG/W4i0zPdOSRR9SmMkVF8Mwznb+OlWzerIppYmMDtoutN77xDXV84QVV/9Hd/HbOb0mKTmLLiS08ueZJs8PxzXe/q7YtKC+H+fNl+kUIi5PkowP6lEtamhrVdWvupm3Ix/Yd2/4PfvEFbNsGMTFdbxYWFQU/VsshWbJEdT0LdvrOpDfd1LnpKD+5/npVnnP6NLz1ltnRBF6/+H786Xq1hf3PP/05205sMzkiH4SHw/PPq/+oK1fK6hchLE6Sjw60rvdwnnVSVV9FVFgUQ5OHtv+Dy5er41e/qvZt76r77lO9ME6eDP7RD03zJB933GFuLK2Eh6u/avA00exu7hp7F7eNvI0GdwP3/fe+4Ol8CjBqlKdHzqOPdq89koQIMpJ8dODgQXVsKjY9qYpNR/cZTbi9na3fz571vLnOn29MIBERLUc/zp835rpm2LhRbRPco0fAd7H1xoMPquP778OxY+bGYgabzcZfb/wryTHJbDu5jUV5i8wOyTff/75aKVZWBt/8pky/CGFRknx0YP9+dRw+XB31lS5j+3Qw5fLii2qTkHHj1By0Ue65R2VBp055WrUHIz0xu+UWVfNhMcOGqY2H3W41it8dpcSl8Pdb1NDP79f9ntf3vG5yRD4ID1frpSMi1IqqV181OyIhRBsk+ejAPrV/HCMae4npPT7aLTbVNFi2TJ3Pn29s187mox9LlwZn7YeFp1ya+/rX1fEf/1BJSHd028jb+H9TVW+a+9+4n92nd5sckQ/GjoXHH1fn//M/arpSCGEpkny0Q9MuHPnYdlIV4LU78vHFF7B7t/pEr/fsNtLdd6vaj9OnPUlOMFm3DgoL1eqf664zO5p23X672rX90CH46COzozHPk7Of5PKBl1NRW8ENL93AiXMnzA7Je/oWBSUl3WeHaCGCiCQf7SguhnPn1DLbIUOgrKaMg6WqCCSzX2bbP6QnBF/9qtoG12gREfDDH6rzpUvVOuBgou/cduutEB1tbiwdaJ47dtfCU4CIsAj+85X/MCx5GEfKj3DTyzdxvi5I6o0iItT0S3i46pnfzsaWQghzSPLRDn3UY/BgtXovvzgfgEGOQfSM7XnhD5SWeqYU5s3zX2D33quajpw4EVzvjHV1ap8aUM/B4vSpl//8R3147q56xfZi5ddW0iu2F5uLNzM3Zy61DbVmh+WdCRNgUWPB7Le/rUYMhRCWIMlHO1rXe+gtpyf1m9T2D7z4otpIbvx4YwtNW4uM9PxCffJJ9ZjBYOVKlaD16wezZpkdzUVlZsLEieqvt7sWnuqGJg/lza++SUx4DO8efJfsnOzgSUB+/GO1a+Dp06rhnxDCEiT5aIeefOj1HpuKNwGQldrGLr6a5untMW+e/7eHf+AB6N8fjh8Pnp3Q9D037r5bbaJicTabWqkJqrVKdy081U1Lm8Zbd75FdHg0b+9/m7k5c4OjB0hkpPo/EhamVr68HkQrd4QIYZJ8tEOfdvFq5OPzz/1baNpaVBToG/UtXmz9XuBnzqhNvyAoplx0d92lCk8PHoQPPzQ7GvPNypjVlIC8tf8tbnr5JipqK8wO6+KyslT/D1AfDqT5mBCmk+SjHc1HPs5Wn6XgbAEAk1LbSD6adzT1R6FpW77xDUhJgaNHrd9K+oUXoL5ezWWMGWN2NF7r0cOTKwVzaxUjzc6YzZtffZMeET1Y5VzFFc9fQVFlkdlhXdzPfqZqQM6cUS9qdx/KEsJkkny0oa5OLbMENfKhF5sOdgwmOaZVu/TmhaZGdTT1RkwMLFigzn/9a2hoCNxj+6L1lFSQefhhdXzzTTXLJWDOkDl8fP/H9OnRh60ntjLt79PYc3qP2WF1LCpKFTzHxkJeHvz2t2ZHJES3JslHG5xOcLnUJ9/UVNhU1EG9R/NC08mTAxvo/PnQu7cK+OWXA/vY3vrkEzWMFBen5jGCzOjRMHOm+vfw7LNmR2MdWalZrP36WoYlD+No+VEu+8dlrD602uywOjZyJDz1lDr/0Y9U3xkhhCkk+WjDnsYPccOHq8LDDUUbgDbqPQJdaNpabCx873vq/Je/VO+QVqNvhPe1r0F8vLmxdJJeePrss2r2SCgZSRl88fUvmDZgGmU1ZVz7r2tZtsnize++/nWYO1eNFN5+u1qyLoQIOEk+2rBDbeHC2LGgaRqfH/0cgOkDp7e8Y6ALTdvyrW9Bz55w4AC89po5MbSnuFg1yoDATkkZ7Mtfhj59oKgI3nrL7GispVdsL1bft5q7xt5Fg7uBh995mMfee4wGt0WnAW02+Nvf1ChIURFkZ1u/YFuIECTJRxuaJx8FZws4ef4kkWGRF067mFFo2lpcHPw/tQcHv/yltQrpnn5aDRVcdplqmhGkIiM9Tcf+9CdzY7Gi6PBo/vWlf/GLq34BwFPrn+KWV26hvKbc5MjakZAA//2vOn7+uer/IbvfChFQkny0YedOdRw7FtYcXQOoOe7o8GYtwc0qNG3LI4+Aw6Hmi/79b3Nj0VVXe6Zc9OQoiH3zm6pVxMcfw5YtZkdjPTabjR/P/DE5c3OampFd9o/LcJ51mh1a20aMUO3+bTa1LcKSJWZHJES3IslHKzU1agYD1KpQfcplRtqMlnf85z/NKzRtLSEBHntMnf/iF9YY/fjXv9SyxkGD4LbbzI6my9LSPBvx/v735sZiZdmXZPPpA5+SGp/K7tO7ufTZS/nsyGdmh9W2m26C3/xGnS9a5BnJFEL4nSQfrezZo+o2k5LUSpc1hWrkY8bAZsmHpnk+1X/zm4EvNG3Ld76jkpAdO+CNN8yNxeWC3/1OnT/6aFB0NPWGPoDz6quy7LYjWalZbPjGBib1m0RJdQmzXpjF81ufNzustn33u57tCh5+2Hp1U0KEKEk+Wmle73Gm6jR7z+wF4LK0yzx3Wr1atUCNjzev0LS1pCTP3hVPPGHu6Mdrr6nltcnJnmKJEJCVpZbdNjTAn/9sdjTW1j+hP58+8CnZl2RT767ngTceYMGqBbg1C4zKtfarX6mpU01Ty8FlBEQIv5Pko5Xm9R5fFH4BwCW9L2m5k63e7vKee1TBp1U89pga/di2zby+Hy4X/Pzn6vy73w3a5bXt0Uc/nnkGzp0zNxari42I5bXs13h85uMA/OaL3zD/rfm43BZbEm6zwV/+oroGu90qEfnBD6zbuE+IECDJRyv6yMeYMfDR4Y+AVvUeRUWqUh48DSCsomdPzxDyD3+oij4DrfmoxyOPBP7x/ezmm2HoUCgrkw/I3rDb7Pz8qp/z/K3PY7fZ+duWv/HAGw9YbyluWJh6QX/8Y/XnJUvg6qtVAz8hhOEk+Wil+bTL+wXvA3DNkGs8d/j739Wn+xkzrLlPyaOPqurIwkL4v/8L7GPX1np+ef+//6dGYUKM3e7Z02/JEjh/3tx4gsV9E+7j5S+/TJgtjBe3v8i9r99rzRGQX/xCJdDx8fDZZ3DJJSqRl83ohDCUJB/NlJR4CgkTBx5l75m92G12ZmXMUl+sr/d83NU3/bCamBjV7wPUni9nzgTusf/8Z7UpTmqqZ/VNCLrvPhg8GE6dkg3nfPGVMV8h945cIuwRvLLzFR5Z+QiaFftr3HEHbN4Ms2erhHrxYpXQ33ijas++di2cPi29QYToAkk+mlm/Xh2HD4d1pz8AYEr/KTiiHeobOTlw7Bj07as6I1rV3XerHTwrKuAnPwnMY545oz41girg69EjMI9rgogIzwDP0qUy+uGL20bexr++/C9s2Hhm8zP85KMA/fv01bBh8MEHaop1+nQ12rlypUqqL7tMtbxNTFSb/1x7LTz4IDz+ODz/vCocs+JWB0JYiCQfzej7TE2dCh8UqOSjacpF0zzLRx95RO2SaVV2O/zhD+r8mWdgwwb/P+bChVBerpIefR/6EHbPPZCRoT4A/+UvZkcTXO4YfQdP3/g0AL/87Jf8cd0fzQ2oPTYb3HorrFkDu3apTPO662DgQPW9ykq1vcIHH8Bzz6kRxwceUHO2/fqpmjDpSCdEm2yaxcY9KyoqSExMpLy8nIQA1wxce636PfLnv7h4vLI3Z2vO8sWDXzAtbZranfXKK9W0xtGj0KtXQGPrlHvuUc2+JkyAjRshPNw/j/Phh2qI2mZT8+TTp1/8Z0LA88+r95qePaGgwLwO+8HqV5/+ih9/pIaQXrjtBe4Zf4/JEfmgpgYOH1YjoceOqfnaY8dUo6DNm1suhbrxRtXMbNQo08IVIhB8ev/WLKa8vFwDtPLy8oA+rsulaYmJmgaa9lzeFxo/Q0tcnKjVu+rVHW65RX3z4YcDGleXnDypaUlJKu4nn/TPY5w7p2lDhqjH+Pa3/fMYFlVfr2kjRqin/r3vmR1N8HG73dpj7z6m8TO08J+Hayv3rzQ7JGPU1Wna++9r2le/qml2u/oHEhGhaT/9qfqeECHKl/dvmXZptG+fmjWIiYEdDWon1uuHXU+4PVw1FNO3Mw2mQso+fTxTRY8/Dlu3Gv8YjzyiPvYPGKAKXLuR8HBPq/WnnlL/TIT3bDYbv7v2d3xt7NdocDeQnZPNumPrzA6r6yIi4Jpr4JVX1EjITTepYvUnnlAjhCdOmB2hEKaT5KORXu+RNVnjP3tzAcge1VhU+vvfq5qPm25SG1IFk/vvV3ur1NerQlQje388/7y62e3w4oshubT2Ym64Qd3q61Veaq1JTOuz2+z849Z/cO2Qa6mqr+LGl29kz+k9ZodlnOHD4c03VdO/+Hj49FPIzFR1JEJ0Y5J8NNKTj8HTtnC47DCxEbFcP+x61S/jH/9Q31ywwLwAO8tmU8uD+/ZVRXMPPmjMO+TatZ4ma088oephuqnf/x4iI+Hdd+GFF8yOJvhEhkWSe0cul/a/lNLqUq7917UUlheaHZZxbDa4807YtEmtjikuVg3MzOpCLIQFSPLRaO1adTw3UI163DDsBmIjYtUa//p6uOoquPxyEyPsgt69VeOk8HC1K5q+JLaz9u9XrT5ralQxnd5VtZsaMULlX6C21ykMoffNQImLjOOdu95hRM8RFFYUct1L11FaXWp2WMYaPlx9ysnOVr9TvvY1tYJGhstENyTJB6pZlOpsqrGt7t8A3D7qdlW9/ve/qzv99KemxWeIK66Ap9XyRn76U89W4r7asUN9aispgcmTVVITIrvWdsX3vqeWaFdUqPeU+nqzIwo+vWJ78f7d79M/vj+7T+/m+peup6ymzOywjBUXp/7P6JsELVwI//M/0hdEdDuSfAAfqS1cGHrFRgrK9xMdHs2Nw25UH2fr6tQb9xVXmBukER56SBWegppC+tGPfPul98EHavTn+HHVdvrtt0O6mZgvwsPhn//0dOX+3/81O6LglO5I5/273ycpOokNxzcw64VZlFSVmB2Wsex2VQj+hz94NrW7/XaoqjI7MiECRpIPVJsKgOjpfwNg7iVzid9/2FPrsXixOYH5w89/3rL9+pw5cORIxz9TUaH2jLn2WrUkaMYM9Q7bp4//4w0iw4fDSy+p87/8Ra2AEb4b3Wc0H933Eb1je5NfnM9V/7yKk+dOmh2W8R57TI2CREXBG2/ArFmB3Q5BCBN1++RD01ShINFnORitCsC+kfkN+P731fbac+fCtGnmBmm0H/1IVUb26KGGfYYNg3nz1HldnbqPy6Uak/34x5Ce7tmk7pvfVCMgycnmxW9hN9/sye0eewz+9CdTwwla41PG8/H9H9Mvrh87Tu3g0r9dytYTW80Oy3hz58KqVZCUpOpBLrtMLV0XIsR1+w6n+fkwaRJEXP1r6mf+iLF9xrKt/y+x3XqrWq+/Zw8MGeL3OEyxbx9861uwerXnaxERKimpqFDJl27ECPjjH1V7adEhTVMboT75pPrzD36gEhIpjfHdwdKD3PDSDRwoPUBMeAx/uPYPzJs0D5vNZnZoxtqzB66/Xo1C9u4NK1YEbgXZwYPwzjvqw8eeParWrbZWTQ/17QuDBkFWlvoQNmOG2jhSiDZIh1Mf/OQnmkZ4tRb1oz4aP0N79fPlmjZggOpKuGBBQGIw3Wefadq992pa377qeeu3hARNu+02TXvtNU1raDA7yqDidmva4497/iqvu07Tjh83O6rgVFpVql374rUaP0PjZ2izX5itbS3eanZYxisu1rTMTPUPxm7XtMWLVetlf6it1bTnntO0KVNa/p/35jZ5sqb96leaduCAf2ITQcuX9+9uPfKhaeoD/YGE5XDzfAYmDsR54EbCnv6r2jVsxw6IjfVrDJbidqtPPVVV4HCoT2Dycb1LXn4Zvv51tSo5MVGV2XzjG6oviPCey+3iTxv+xKIPF1HTUAPArSNu5aHMh7h26LWqE3EoqKpSo5H//Kf68w03qD49/fsbc/3ycnW9P/4RiorU1+x21UrgmmvUCraBA1Wr54YG1Y11/341JbR2rdoor/lbxvTpqpHhHXd0yyaDoiVf3r+7dfKxdi1cNrMG2/+MREs8whux3+CWBarolLw8VQAmRBft2KF6u23apP6cnq5WWt59t5TO+OpAyQF+8vFPeG3na2ioX10JUQlcNegqJqZMZHjP4WQkZZAYnUhcZBwR9gjq3fU0uBuod9VT766n3lVPnauu6VbvVn8Os4URGxFLbEQsPSJ7kBKXQlJ0UuCneDQN/vY3tQS3tla9qf/iF/Dww53PWouKVAX0M8+oKVVQ0yff+Q7cdx+kpHh3nRMn1FYT//63qlXRp2ZjYuDLX1bXuvpq+dDSTUny4aX77oMXnIth9g+ZUdOHT5+uwVZRof5DylIFYaCGBvV7/5e/hJONCzeiotTv69tvV4uO5IOj9/ac3sOz+c/y4vYXOVPlvxUiMeExDHIMYnzKeDJTMpnYbyKT+k0iKSbJb4/ZZNcuNWy2fr36c0aG6gty993ejchqGnzxhap6/ve/1T9CUMvkv/c9uOsu9Y+ws4qK1K7Zzz+vakV0qanq2nffDePHd/76Iuj4LflwOp3k5uaSkZGB0+lk3rx5OByOLt+3s8F3RUEBDJ92APe8caRW17Anty8JR0+qgqrVq1XhpRAGq6qC556DZ5+Fbds8X4+IgJkzVc3hlVfChAny4dEbLreLLSe28PHhj9lzeg/7S/dzpOwIlXWVVNZW4tJchNvDibBHEBEWQYQ9gsiwSCLC1DEyLLLpey63i+qGaqrqq6isreRszdl2H3dEzxFMHTCVqQOmMqX/FMb2HdvpqR9N0yirKeNI+RGOlB3hTNWZplGdOHsME1duZshTLxJ+qjHJcjjUsqobb1SFoIMHq6kTTVPTKlu2wMcfQ05Oy6Tg8stVf58bblD3N4qmqZVxzz2nlg6fbfb3NnasSkLmzlVxipDmt+Rj0qRJbN68GVDJxcKFC8nJyenyfTsbfGdpGtxw2zneS53OwOjtrH05htRT1Wo8fO1a6NfPL48rhE7T1Eqrl15SCw1a74ibkKDeK664Ai69VCUjiYmmhBq09F9tnZ02qa6vpqiyiAOlB9hSvIUtJ7aQX5xPwdkLl8LGRsSSlZrF1P5TGdNnDP0T+pMan0pkWCSaplHrquXkuZMUnyvmWMUxjpQdUclGY8JRWVfZYSyxdTB/s43/3RROWknL9rmazYYtPl4VFulL5XXR0arl7re/DRMndurvwSe1tap3wb/+paZnmsVTOWIQB6aPYsOEPqztV8+ZujJqG2qpc9URFR5FQlQCiVGJ9I/vz8DEgaQ70hmYOJCBiQPVVhfC8vySfDidTubOnduUUAAkJSVx9uyFnw58uW9Xgu+sxU+d4SdbbuWrFV/wx/dt9KzS1JDm6tUqAREiwPbvV0nI6tVq41N9Wr65IUPUKPbQoeo2ZIga4e7VS7WJkJGSwDhTdYYNxzew7tg61h9fz/pj6ymvLe/ydXvH9ibdkU7fHn0Js4ehaRqVdZUUVxZTVFlEZV0ldjfMOAq37oXLj8K4kxDVqklxWd9ETo/JoHDmBAqvmIA7IZ4GdwPn6s61uJ2vP091QzU1DTXUNNRQXV+NzWYjOjya6PBoYsJjiA6PJi4yjvjIeOIi49R5lOfcrbmpc9VR21DLubpzFJ9TsRZVFlFWfIjMz53cml/F5UcgvNk7zbkIWJsGnw2Ejf1hX0844gB3OwMyvWJ7kZ6YrhKShIGkJaaRFJ1EQlQC0eHRNLgbcGkuGtwNVNer0avz9efVse5805+bf62moYbo8GgSohKIj4onPjIeR7SDXrG96BnTk16xvVrcEqISAlL/o2lqe4bqaqiq0jhXU0OdVo3NrhEVHkFURASJcRH0iAnDbrfWknO/JB/Lly8nJyeHVatWNX1tyJAh5OTkkJmZ2en7diV4X5w8WsTq3z1F0dZ84svWcNvBGvro3YwnTYL//hcGDDDs8YToLJcLtm6FTz5RjWTz8+Ho0Y5/xmZToyWRkarVu34D9cvM7e780WZT142IUDd/nHdmlrMz1Wr++Bm35ua0to8jrnUcda3njHaACncRFVoxbhqwYcdOOPG2vsTbUkiw9SfJnk6SrfFmT8dhG0gE7X+61zSNSk5w0r2bU+7dnNR2c9K9i9L63URXlZBYC9XhUBILVRZcSdWvKoEvHUjk5n0NXOYsJaGm9oL71IWFU5iUzKkekZzs4eJEbB2nYyupiqijNgxqwqE2HNxdfL/tbJGjHTsRxBGpxRNJXOMtnkgtDpsWDtixYQfNjk2zoaHhxoWbelw0NBY9N+DSVOGzizoatDrc1OO21eG21aPZ69DsdRBWB/Y6CGvoOCh3ODZXJHYtErsWRZgWRRiRhNuiCLdFEWGLIsIeSWRYFFFhUUSFq/NIexQRcUnc+8zvOvm30TZf3r+9nqQsKytr8+ulpRfuPOnLfWtra6mt9fxDrGjrI58Bdm3ax53/t7TF1+p7JhHx3e+rpQddKbwSwkBhYSofnjTJs/9YSYlKQnbvVj2hCgrU8dQpNc2vT/f7i2w70hE7MKrx9kC796oGTnX6MWxAv8Zby1V45bGnOdl7D/TaC/FF0OMkxJ4BewPYXWBzgRYGtfFQF+e51feA+hhoiIaGxiNAeDWE10BEtTqPPNfyFlXpOdfs0BAFrkioj4Vz/aAyVd0q+kN5OpQPpLg2gaeBpwEbbkazi5l8ygzWMIadDGc/Ua46hpw5xRDLdph3AxWNN6toaLz5/h+0qIcdDE4+fNHlxfHtJRre3nfx4sU8oe9H7keX33AZa/vFUZLYi/jho7nsGw8Rcd0NUlgqgkLPnmpFzJw5F36vvh5KS6GsTC1o0G/6zrp2uxq96OzR7VbX0m91dcaf19erx+qs7v2zvRtvMzv+oUiDH1d/zWxAONgigFigT9uPY7erxNput2O3j8VuH8tG+7fZbIcwXPQ8d4Q+5QdIqDlFfM1p4mrOEFNbRoS7lnB3LeGuWiIaarDbNGw2sDX++7TZVAgagFtTndBoHLFqfd74zQvuc5E/u3Hh0uppoA4X9bi0usbRCvVnlZhoaDZ9XKWx3qhxNMSGHbvNTpjdjt1uJ9xuJ8weRrjdTnhYGGH2MCLC1Hl4mOc8IsyO3R5GmE3NqWqaG5em0eDSaGhwU9/gpr7BRV2Di3qXi4YGF/VuFy63i4bGo8vtwqWpm1trwI0LDRfnYnpwW+f/KXSZ18mHw+G4YOSitLS0zRUsvtx30aJF/D/94x1q5CMtLc3bsLwWER3FtKKOi7qECEYREaoLdt++ZkciRGeFARmNN9GRMJryyKDm9Xqr2bNnt/n1rKysLt03KiqKhISEFjchhBBChC6vk4+MjJYZqdPpJCsrq2k0Iz8/H6fT6dV9hRBCCNF9+VTzkZOTw8KFC5k8eTIbN25s0bdj8eLFTJ48mQULFlz0vkIIIYTovrp1e3UhhBBCGMOX928De+wKIYQQQlycJB9CCCGECChJPoQQQggRUJJ8CCGEECKgJPkQQgghREBJ8iGEEEKIgJLkQwghhBABJcmHEEIIIQJKkg8hhBBCBJRP7dUDQW+4WlFRYXIkQgghhPCW/r7tTeN0yyUflZVq2/u0tDSTIxFCCCGEryorK0lMTOzwPpbb28XtdlNUVER8fDw2m83Qa1dUVJCWlkZhYWFI7hsT6s8PQv85yvMLfqH+HOX5BT9/PUdN06isrCQ1NRW7veOqDsuNfNjtdgYMGODXx0hISAjZf1QQ+s8PQv85yvMLfqH+HOX5BT9/PMeLjXjopOBUCCGEEAElyYcQQgghAqpbJR9RUVH89Kc/JSoqyuxQ/CLUnx+E/nOU5xf8Qv05yvMLflZ4jpYrOBVCCCFEaOtWIx9CCCGEMJ8kH0IIIYQIKEk+hBBCCBFQluvz0VVOp5Pc3FwyMjJwOp3MmzcPh8PR5ftahS8x5+fnA5CZmYnT6aSsrIzMzMwARts5+fn5PPTQQ2zevLnD+wXj6wfeP79gff1AxZ6XlwfAxo0befbZZ0Pq/6Evzy8YX0f9uZWVlbFx40a+8pWvtBtzML5+4NtzDMbXsLmFCxeyaNEia/0f1EJMZmZm03lBQYGWnZ1tyH2twpeY582bpwEaoM2ePVs7e/ZsACLsmpycHG3z5s2aN/80g/H18+X5BePrp1uyZEmL8+avVWvB+Dr68vyC8XV0OBza5s2bNU3TtGXLlmkZGRnt3jcYXz9N8+05BuNrqNN/33QUsxmvYUglHwUFBRf8EnA4HF2+r1X4GvOyZcu0s2fPBtV/FN3F3pyD8fVrzpvkI1hfv82bN7d4LQoKCjRAKygouOC+wfg6+vL8NC04X8dVq1Y1nS9btqzd5CoYXz+dt89R/36wvYa6nJwcLSMjo93YzXoNQ6rmIy8vj+Tk5BZfS05Obhoy6+x9raIzMTscjqAYAvVVML5+nRGMr19mZibPPvts05/LysoALni9IDhfR1+eny7YXsfZs2c3nefk5DB//vw27xeMr5/O2+eoC7bXECA3N5fs7OwO72PWaxhSNR/6L4HWSktLu3Rfq/A15rKyMnJzcwE1Lz1//nwyMjL8FV5ABePr56tgfv2a/8J77bXXmD17dpu/uIP1dfT2+UHwvo75+fm89tprzJkzh3nz5rV5n2B9/XTePEcIztewrKzMq2TJrNcwpJKP9rT3l9vV+1pFezE3LxrKyMhgzpw5FBQUBC4wEwTj69eeUHj99F/aFyuubevngoE3zy9YX8fMzEwyMjJYuHChV5+gmwuW18/b5xiMr+GKFSs6TKguxt+vYUhNuzgcjguytdLS0jazP1/uaxW+xux0OpvO9Srm5l8LZsH4+vkqFF6/hQsXsmrVqnZfl2B/HS/2/CC4X0eHw8HcuXOZO3dum29Gwf76wcWfIwTfa5iXl8cdd9zh1X3Neg1DKvloPofXXFZWVpfuaxW+xJyfn8+sWbMu+HpH89LBJBhfP1+Ewuu3dOlSFi5cSEZGBmVlZW3+Yg/m19Gb5xeMr2NeXh5JSUlNf9anF9p6sw3W18+X5xiMryGokY/ly5ezfPlynE4nixcvbrOOw6zXMKSSj9ZzcE6nk6ysrKYMLj8/v+kf18Xua0W+Pr8lS5Y03TcvL4/s7GxLP7/WWv8yD/bXr7WLPb9gfv1yc3ObhrTLyspYsWJFyPw/BN+eX7C9jsnJyS3ekPLz83E4HE19LULh9fP1OQbbazh79mzmzZvXdAOYP3++pV7DkNtYzul0smzZMiZPnszGjRtbNFaZO3cukydPZsGCBRe9r1X58vz0RkgOh4OCgoIW/4GsKi8vj1WrVrF06VIWLFjA5MmTm+ZhQ+H18+X5BePrB+p1GTJkSIuvORwOzp49CwT/6+jr8wvG1zE3N7dpKH7VqlUsWbKk6U0q2F8/nS/PMRhfQ1AfcJYvX87ChQuZN29eUwJihdcw5JIPIYQQQlhbSE27CCGEEML6JPkQQgghREBJ8iGEEEKIgJLkQwghhBABJcmHEEIIIQJKkg8hhBBCBJQkH0IIIYQIKEk+hBBCCBFQknwIIYQQIqAk+RBCCCFEQEnyIYQQQoiAkuRDCCGEEAH1/wGFqgsaAuRJRQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "zuw, dnblue, dngreen, dnred = np.loadtxt(path_to_class_sz + '/class_sz/class-sz/class_sz_auxiliary_files/includes/normalised_dndz_cosmos.txt',unpack=True)\n", "plt.plot(zuw,dnblue,c='blue')\n", "plt.plot(zuw,dngreen,c='green')\n", "plt.plot(zuw,dnred,c='red')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# we save the dndz in seprate files, that's how we do. \n", "# np.savetxt(path_to_class_sz + '/class_sz/class-sz/class_sz_auxiliary_files/includes/normalised_dndz_cosmos_0.txt',np.c_[zuw,dnblue])\n", "np.savetxt(path_to_class_sz + '/class_sz/class-sz/class_sz_auxiliary_files/includes/normalised_dndz_cosmos_1.txt',np.c_[zuw,dngreen])\n", "np.savetxt(path_to_class_sz + '/class_sz/class-sz/class_sz_auxiliary_files/includes/normalised_dndz_cosmos_2.txt',np.c_[zuw,dnred])" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'/Users/boris/class_sz_data_directory'" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "path_to_class_sz" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Halo model cross-power spectra" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 14.7 s, sys: 1.49 s, total: 16.2 s\n", "Wall time: 1.94 s\n" ] } ], "source": [ "%%time\n", "M = Class()\n", "M.set(common_settings)\n", "M.set(HOD_common)\n", "M.set(HOD_0) #ngal_0\n", "M.set(HOD_1) #ngal_1\n", "M.set(HOD_2) #ngal_2\n", "M.set(b12) # Battaglia pressure profile\n", "\n", "M.set({\n", "'output' : 'galn_tsz_1h, galn_tsz_2h', # lensmagn_tsz also available \n", "'galaxy_samples_list_num' : 3, # the number of galaxy samples\n", "'galaxy_samples_list' : '0,1,2', # the id string of each sample, can be any integer\n", "'full_path_and_prefix_to_dndz_ngal':path_to_class_sz + '/class_sz/class-sz/class_sz_auxiliary_files/includes/normalised_dndz_cosmos_'\n", "})\n", "\n", " \n", "M.compute_class_szfast()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Collect and plot" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "cl_galn_tsz = M.cl_galn_tsz()\n", "dict_names = {\n", "'0':r'$\\mathrm{Blue}$','1':r'$\\mathrm{Green}$','2':r'$\\mathrm{Red}$'\n", "}" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_dim = len(cl_galn_tsz.keys())\n", "fig, axes = plt.subplots(figsize=(7, 15), \n", " sharex=True, \n", " sharey=True, \n", " nrows=plot_dim\n", " )\n", "plt.subplots_adjust(#left=0.1,\n", "# bottom=0.1,\n", "# right=0.9,\n", "# top=0.9,\n", "# wspace=0.4,\n", " hspace=0.4)\n", "# x = np.linspace(0, 10, 100)\n", "ik = 0\n", "for i in range(plot_dim):\n", " kk = list(cl_galn_tsz.keys())[ik]\n", " strp = list(cl_galn_tsz.keys())[ik]\n", " kt = dict_names[strp.split('x')[0]]\n", " ik+=1\n", " # axes[i, j].plot(x, np.sin((i+j) *x))\n", " axes[i].tick_params(axis='both', which='major', labelsize=15)\n", " axes[i].set_title(kt,size=20)\n", " axes[i].set_xlabel(r\"$\\ell$\",fontsize=20)\n", " axes[i].set_ylabel(r\"$C_l^{g \\times y}$\",fontsize=22)\n", "\n", " axes[i].grid()\n", " \n", " cl = cl_galn_tsz[kk]\n", " fac = np.asarray(cl['ell'])*(np.asarray(cl['ell'])+1.)/2./np.pi\n", "\n", " axes[i].loglog(cl['ell'],np.asarray(cl['1h'])/fac,\":\",color ='black',label=r'1h')\n", " axes[i].loglog(cl['ell'],np.asarray(cl['2h'])/fac,\"--\",color ='black',label=r'2h')\n", " axes[i].loglog(cl['ell'],(np.asarray(cl['1h'])+np.asarray(cl['2h']))/fac,color ='red',label=r'total')\n", " axes[i].legend(loc=1,fontsize=8)\n", " \n", "fig.suptitle('CLASS_SZ Galaxy-tSZ (HOD, B12)',fontsize=20)\n", "fig.tight_layout()\n", "# plt.savefig('../../notebooks/class_sz_tutorial_notebooks/figures/class_sz_unwise_hod_gkcmb.pdf')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.8" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }