{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Step-by-step tutorial for functions in `deepszsim`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial will explore the functions included in the deepszsim code from DeepSkies. For the overall simulation function description see `demo_simulation.ipynb`." ] }, { "cell_type": "markdown", "metadata": { "id": "lOkPyRZEQWsm" }, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "id": "lOkPyRZEQWsm" }, "outputs": [], "source": [ "import deepszsim\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import time\n", "import h5py\n", "\n", "from astropy.constants import M_sun, G, sigma_T, m_e, c, h, k_B\n", "from astropy import units as u\n", "from decimal import Decimal" ] }, { "cell_type": "markdown", "metadata": { "scrolled": true }, "source": [ "Next, we make a dictionary from the variables `input.yaml`. We then load in the keys from the dictionary to create our variables. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dict_keys(['survey', 'survey_freq', 'beam_size_arcmin', 'noise_level', 'image_size_pixels', 'pixel_size_arcmin', 'image_size_arcmin', 'cosmo', 'sigma8', 'ns'])" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d=deepszsim.load_vars() #Make a dictionary and cosmology from the .yaml\n", "d.keys()" ] }, { "cell_type": "markdown", "metadata": { "scrolled": true }, "source": [ "Next, we create a new flat redshift and mass (here, M_200, as defined relative to the critical density) distribution using the function `flastdist_halo` from `dm_halo_dist` which uses random uniform generation. Our distribution saved to a h5 file titled `massdist.h5`. Below are three graphs, showing the redshift distribution, mass distribution, and redshift and mass scatterplot." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Generate a new flat z, M_200 distribution and save to file: \n", "nsources = 100 #Number of halos to generate\n", "zdist, mdist=deepszsim.dm_halo_dist.flatdist_halo(0.01,1.1,1e14,2e15,nsources) #Generate a flat z, M_200 distribution for sims\n", "\n", "plt.hist(zdist,bins=50) #Show the z distribution \n", "plt.ylabel('N'),plt.xlabel('Redshift (z)')\n", "plt.show()\n", "plt.hist(mdist,bins=50) #Show the M_200 distribution \n", "plt.ylabel('N'),plt.xlabel(r'M_200 [$M_{\\odot}$]')\n", "plt.show()\n", "plt.plot(zdist,mdist,'o') #Show the z, M_200 scatterplot\n", "plt.xlabel('z'),plt.ylabel(r'M_200 [$M_{\\odot}$]')\n", "plt.show()\n", "\n", "sourceid=int(time.time()) #Create an initial ctime for the halo ID list to save catalog\n", "idlist=[sourceid+x for x in range(len(zdist))] #Create the halo ID list for catalog\n", "\n", "#Save this array to a h5 file\n", "data = h5py.File('massdist.h5', 'w')\n", "data.create_dataset('Redshift', data=zdist)\n", "data.create_dataset('Mass', data=mdist)\n", "data.create_dataset('id', data=idlist)\n", "data.close()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we are able to read our h5 file to access the distributions. We load the redshift distribution to the variable `zdist`, mass distribution to `mdist` and the list of ids corresponding to each halo to `idlist`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "with h5py.File('massdist.h5', 'r') as data:\n", " zdist = data['Redshift'][()]\n", " mdist = data['Mass'][()]\n", " idlist = data['id'][()]" ] }, { "cell_type": "markdown", "metadata": { "scrolled": true }, "source": [ "## Simulating SZ submaps using these halos" ] }, { "cell_type": "markdown", "metadata": { "scrolled": true }, "source": [ "The following code walks through how to use methods in `deepszsim` in order to generate simulated SZ submaps." ] }, { "cell_type": "markdown", "metadata": { "scrolled": true }, "source": [ "The following values are examples for the purpose of the tutorial. We create a radius array of 1000 values, from 0.01 to 10 in units of arcmin. We then convert to Mpc. Next we initialize example redshift and $M_{200}$ values. We then get $R_{200}$ and $c_{200}$ values from our $M_{200}$ value from Colossus." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": true }, "outputs": [], "source": [ "r=np.linspace(0.01, 10, 1000) #arcmin\n", "r=deepszsim.utils.arcmin_to_Mpc(r,d[\"pixel_size_arcmin\"],d[\"cosmo\"])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "z=0.5 #example redshift\n", "M200=2e14 #example M_200 in solar masses" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "(M200,R200,_,c200)=deepszsim.make_sz_cluster.get_r200_angsize_and_c200(M200, z, load_vars_dict=d) #Use M200 to get R200 and concentration from Colossus" ] }, { "cell_type": "markdown", "metadata": { "scrolled": true }, "source": [ "### Thermal Pressure Profile Generation" ] }, { "cell_type": "markdown", "metadata": { "scrolled": true }, "source": [ "This section will walk through how to generate thermal pressure profiles using equations from __[Battaglia 2012](https://arxiv.org/pdf/1109.3711.pdf)__ Section 4 (The Thermal Pressure Profile).\n", "\n", "$$\n", " P_\\Delta = GM_\\Delta\\Delta\\rho_{cr}(z)f_b/(2R_\\Delta) $$\n", "\n", "`P200` represents the $R_{200}$ normalized thermal pressure profile for a cluster of galaxies. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "P200 = deepszsim.make_sz_cluster.P200_Battaglia2012(M200, z, R200_Mpc=R200, load_vars_dict=d) #P200 from Battaglia et al. 2012" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we generate fit parameters for a restricted version of a NFW profile. The input weights are chosen to be the inverse variances of fit parameter values from the individual pressure fits for each cluster within the bin.\n", "- `P0`: amplitude\n", "- `xc`: core-scale\n", "- `beta`: power law index for the asymptotic fall off of the profile.\n", "\n", "`Pth`, generated in the next block of code, is the restricted version of the NFW profile. We scale `Pth` by $ (r/R_{200})^3 $, like in Battaglia 2012." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "P0 = deepszsim.make_sz_cluster._P0_Battaglia2012(M200,z) #Parameter computation from Table 1 Battaglia et al. 2012\n", "xc = deepszsim.make_sz_cluster._xc_Battaglia2012(M200,z)\n", "beta = deepszsim.make_sz_cluster._beta_Battaglia2012(M200,z)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "Pth = deepszsim.make_sz_cluster.Pth_Battaglia2012(r, M200, z, d, R200_Mpc=R200) #Output Battaglia 2012 pressure profile" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "Pth_rescaled=(Pth)*(r/R200)**3." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we graph the rescaled `Pth` on a log-log plot against $(r/R_{200})$. " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(r/R200,Pth_rescaled) #Plot Battaglia 2012 pressure profile\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.ylabel('$P_{th}/P_{200}(r/R_{200})^3$')\n", "plt.xlabel('r/$R_{200}$')\n", "plt.title('$M_{200}$='+f'{M200:.2E}, z={z:0.2f}') #solar masses, redshift\n", "plt.xlim(.010,3)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compton-y Profile Generation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, utilizing our pressure profile `Pth`, we find the Compton-y parameter (`y`) by utilizing the line of sight integral:\n", "\n", "$$\n", " Y_\\Delta = \\frac{\\sigma_T}{m_e c^2} \\int_0^{R_{200}} P_e(r)4\\pi r^2 \\, dr$$\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "only implementing `Battaglia2012` for profile\n" ] } ], "source": [ "y = deepszsim.make_sz_cluster.Pe_to_y(deepszsim.make_sz_cluster.Pth_Battaglia2012, r, \n", " M200, z, d, R200_Mpc=R200)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.4177567672074464e-05" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y[0] #print central y value" ] }, { "cell_type": "markdown", "metadata": { "scrolled": true }, "source": [ "Next, we find the corresponding temperatures from the central y value `y[0]`. We do this by utilizing the function `f_sz` which uses the equation: $$ \\frac{\\mathrm{dT}_{tsz} (\\theta)}{\\mathrm{T}_{CMB}} = f_{sz} y(\\theta),$$ where $y(\\theta)$ is the Compton parameter at a projected angle $\\theta$ from the cluster center." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-62.78590777743287 uK\n" ] } ], "source": [ "fSZ=deepszsim.simtools.f_sz(150,d[\"cosmo\"].Tcmb0) #get f_SZ for observation frequency of 30 GHz\n", "dT=d[\"cosmo\"].Tcmb0*y[0]*fSZ #get dT from y0 using f_SZ\n", "dT=dT.to(u.uK) #Convert to uK\n", "print(dT)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the generated 1D Compton-y profile, which plots our Compton-y profile `y` against the radius in Mpc." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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Y1Jd0TVQHXT/W4sgvfPmgkyZ46Uos+jopC2mRkVYY+VCVQCRBVxaZK4nUn/zql646ac3QJWllkW4Faf2QQeoSKOWDs2iLnnQLyDou0oKirWvpypK6ltZAbWuntKxI90FZyJeAhBr50tJ2h8prRtbQqYq6kAHHUt8Fu1qla1OOSYuPfBlrQ1NpA6rT0tJUIP6///s/FXSkJUIGsBYkf2uD3b3Or0z3yieffKK+lKUsRVtV7kVa2aRrW57/gl3a0t0p9yPvpYpc1lBIyJWWv6LkB5sEFvkBXJEfSPI9IN8TEoRKqvOKPqe6rudbt26pSR8S/Av2SBjj83kvDEQ61LlzZzVORX65y4tZWjqke0OCkHz5yXR8Sc3yBS8LBT788MPqi1EW+pIvRQkAMjJfUndV9L/KF48keblf+WUpv06k2V3GImgTv/jmm2/Uh7s0BUvLjXzIV3d5ZaE47RtK1zOO7qU6HqvUsUzblz56eZ3IF7sEARkTImFAZp2URlpZ5ANJApE020s5JYgU/OKW8suYIhnvJM+hfLjKB7GEFi35UJeWTQkzBbtzykN+JcuPARljIONnZDkHaWKXssl9S+iTFhMJPUVbTuXLWLoKpL7ffPNN1dr0xRdfqLBUllXd5YNYyi2rZcuyEdKiOGPGjEIzkcpaF0KeW+niK2klZAk68mu5YAuRlF1ORS8nLT+y7ERR8nkg7zmZ2q5tjZFQVLSrW/7WjmO71/nFtZSUhbR6SP3JcyCzHIuuRlxwvFhxrxUJg/LY5TUs5ZGwK+8RqVv5ASEtoVrluayWvOeKmxkndVt0xmh5SZiRcWzyvtPO/JRWTu1YPu2QBO0PxoLktS3lLXrevV4/2tYc+cFXv3591apbtM4lRMuPiYo+p2Wt5+Kez8GDB6sfDHK/EvSkZVJeI/KDQx5zRe7HqOh7VLcpOn78uJqFULduXY2tra2ajdC2bVs1o0lmimjt2bNH88ADD6jzZdaQzG769ddfi50tIzMhCipploMsStaiRYtib0NmMMgMGJnNILNcnnvuubsWZps8ebKa9WNpaamuIzMddFHeiixOGBgYqGY4lEdZF3QrqZzleayVmWUm5O+RI0dq/Pz8NDY2NmomnMxk+fTTT8s120lOFy5cKHSezGgaNWqUplWrVhoXFxf1GGTGkzzuggtQah9DWRalK61uZZaYvN5l5onMmrl165ZamFBm68msqK5du6o6ldennArasGGDKqe8V+Q2Pv/882IXZiypHjdv3qxmXcpjrF+/vmbmzJmFrl/WupBZc/eaKfrll18WW99F1axZU/PMM8/cdTwnJ0fd/uOPP15o5pPct7wGIiMj84/16NFDM2/evDKdX1HyXJQ2e6mgkl4rUrZx48ap2YbyHEo9L1++vNj7K+tlS5tlJqcffvihUgszCpmdWNGZeMV9/pbl9VOW2WO6WMC1LPVc3PM5depU9V5ydXVVM8u0i4/KTN+K3o8xYSAyA/f68jdEJ06cUGWeNWuWvotCZkJW3rWwsNCcPHmyyu7jpZdeUl/YBZcZ0HrqqadUiExLS1Ph283NrdB79l7nk+m/fqhqscuMDIrMopFlA6QrQcYSyUrERNVBxopI15u261jX5HUtg8+lG6bguBPpupGuU+mWla5qGRAsY8JkZlzBy93rfDLt1w9VPQtJRdVwP6RHMmBSZpHI+iWG/gEqAUjWZ5GZTDKdW7ZXICIiqmoMRERERGT2uJcZERERmT0GIiIiIjJ7DERERERk9hiIiIiIyOwxEBEREZHZM+tAtHv3brWNhuy7IkuuV2SDvvJOf5f7KXjS9a7eREREVH5mHYhkHxvZy2vmzJnVdp+yt5nsTK49aXcGJiIiIv0x65WqZXM6OZVEds2WHaBll3jZQFM2ZpWNJ4vb7K+sZHNVtgoREREZFrNuIboX2Yl43759WLFiBU6ePKl2KJZdoWUH4IqS60oXXb169dQy71euXNFpmYmIiKj8uFK1tiIsLLB27VoMGDAgf0+tRo0a4e+//1YBRuuhhx5Chw4d8Nlnn5W7smXPorS0NDRu3BixsbH49NNPce7cOZw+fVrtT0RERET6wRaiEhw7dgyyzZuElxo1auSfdu3apcKSuHr16l2DpIuexowZk3+b0j03cOBAtfmfBKtNmzap44sWLaqO55qIiIhKYNZjiEqTm5sLKysrHD16VP1bkAQjITtOnz17ttTbqVmzZonnOTk5qXBUmS44IiIiqjwGohK0bdsWOTk5iIuLQ7du3Yq9jI2NDZo2bVrhys/IyFCBqqTbJyIiouph1oEoJSUFly5dyv87PDwcx48fh7u7u+oqe/755zF06FBMmzZNBaT4+Hj8+eefqlWnb9++5b6/SZMmqXWP6tatq4KWjCFKSkrCsGHDdPzIiIiIqDzMelD1zp070bNnz7uOS0BZuHAhsrKyVGhZvHgxoqKi1MDnzp074+OPP1ahqLxkVpksBinBqlatWujUqRM++eQTNG/eXEePiIiIiCrCrAMRERERkeAsMyIiIjJ7DERERERk9qzNcTr99evX4ezsrNYJIiIiIsMnI3ySk5PVYsmWlrpvzzG7QCRhyN/fX9/FICIiogqIjIxEnTp1YFKBaOrUqVizZo3avsLBwQFdunRRm6c2adKk3DPDZD2fsqwJJC1D2gp1cXGp5CMgIiKi6iDL1EiDhvZ73KQCkWyDMXr0aISEhCA7Oxvvv/8+evXqhTNnzqhVnEtz/vz5QoFGprGXhbabTK7LQERERGRcqmq4i14D0ZYtWwr9vWDBAnh5eantMrp3717qdeVybm5uVVxCIiIiMgcGNcssMTFR/SsrRd+LrBzt4+ODBx98EDt27Ch1ewxpZit4IiIiIjLIQCSjxydOnIiuXbsiKCioxMtJCJo7dy5Wr16txh/JeCMJRbICdEnjlFxdXfNPHFBNREREBrtStYwl2rRpE/bu3Vvu0eOyP5j0KW7YsKHYFiI5FR2UJa1RHENERERkHOT7Wxo2qur72yBaiMaOHavCjHR9VWQqnewJdvHixWLPs7Ozyx9AzYHUREREZHCDqqVxSsLQ2rVr1XT6evXqVeh2wsLCVFcaERERkdEFIukmW7ZsGdavX6/WFYiJiVHHpUlM1iUSkydPVjvNy47zYvr06QgMDESLFi2QmZmJpUuXqvFEciIiIiIyukA0e/Zs9W+PHj3umn4/fPhw9f/o6GhERETknychaNKkSSokSWiSYCRjj/r27VvNpSciIiJTYTCDqk1lUBYRERHpnlkMqiYiIiLSJwYiIiIiMnsMRERERGT2GIiIiIjI7JltIPo5NBKhVxOQeCdL30UhIiIic552r09Tfj0DS7ur6v+1XezRyLsGmng7o7G3s/p/I29n1LAz2+ohIiIyK2b7jd+loQeuJWkQnZiOmKS8056L8YUu4+fmgMbeNVRI0p4aetWAg62V3spNREREumf26xBJl9mluGRciE3BhVj5N+//N5Iziq8wC6CuuyMaeUlAqoEmtZ3V/+vXcoK9DYMSERGRMa5DZPaBqCS3UjPzwlFcCi4WCEoJqZnFXt7SAgj0cPqnJSmvy03CkhyztTbboVpEREQ6wUBkYBUan5KRF45i/heWzsckIyk9u9jLW1taoJ6nNij9LywFejjC2opBiYiIqCwYiIygQmX3k7jkf4KSdL2psJSMi7EpSMkoPijZWlmqbjYJSXndbnljlfzdHWElzU1ERESUj4HIiPcyk6B0PTFdBaW8bre8cUoSlO5k5RR7HXsbSzVwu7GXzHaTsFRDjVGSAd6WDEpERGSmkjiGyLgqtCxyczWIun1HdbVpW5Lk/5dupCAzO7fY6zjaWuW3ImmXBpCWJVkywEJGehMREZmwJAYi46rQysjJ1SAiIU2FI9Wi9M8Ypcs3UpCVoyn2Os521vnhKG/mW944pVrOdgxKRERkMpIYiIyrQqtCVk4urt1MVV1uKiz9s0xAeHyqClHFcXO0+afbLS8stfF3QwtfV45PIiIio5TEQGRcFVqdMrJzVCiScKSd7XYxLkWFp+JykquDDTrX98B9DeXkqWa/sbuNiIiMAQORkVWoIUjPysEl6W77pyXpXHQSQq/eQnKRGW8+rvbo0sATXRt54L4GnvBysddbmYmIiErDQKRj5hCIipOdk4uTUYnYfykeey/F49i128jMKTyAWwZtS8uRnDrWd4eLvY3eyktERFQQA5GOmWsgKupOZg5CryWocLT/0k2cup4ITYFuNpnh36qOG7o29FT7vrUPqAk7a25NQkRE+sFAZGQVaqxup2XiwOWb2Hc5Hvsu3VRjk4qujxQS6J7XxdbQE819XThAm4iIqg0DkZFVqKmQdZL2qdajeOy7fPOuzW5lgHaXBh7o0jAvIMlWJBygTUREVYWByMgq1BTJitsye00CkpwOXkm4a0sSXxmg/U84ki42L2cO0CYiIt1hINIxBiLdDdDed1Faj4ofoC2LQ2q712SAtjMHaBMRUSUwEOkYA1HVDNA+cjUhrwXpcjxOX08qNEBbNqttVcc1r/WogSfaBbhxgDYREZULA5GOMRBVvVupmThw5WbeGKTLJQ/Q7vrPFP/mPi7cuJaIiErFQKRjDET6G6Cdd7qJ+JTCA7Q9a9jisVa+6NfaF+3qunFwNhER3YWBSMcYiPQ/QFtWz85rPbp7gLa/uwMeb+2Lx1v7qT3YiIiIBAORjjEQGd7GtbI45Ibj17HtdAxSM3Pyz2ta2xmPt/FFv1a+8Hd31Gs5iYhIvxiIjKxCqXKDs/84F4v1x69j1/kbhWauyUrZ/dv4om9LH3jWsGM1ExGZmSTudm9cFUq6kZiWhS2no1U4kgHa2llrMmNNBmL3b+2LXi28OZ2fiMhMJDEQGVeFku7FJqVj48lobDgehRN/J+Yft7O2xIPNvNR4ox5NasHehnutERGZqiQGIuOqUKpaMoX/1xPXse54FK7c+N90fmd7azzSojb6t/FD5wYe3GeNiMjEJDEQGVeFUvXNVpMFICUcbThxHdGJ6fnn1XK2w6MtfdSYozb+nMZPRGQKkhiIjKtCqfrl5mrUStkSjDb9FY3baVn559V1d1TT+CUcNfLmNH4iImOVxEBkXBVK+pWZLdP4b6jB2NvPxCKtwDT+Zj4u+eHI181Br+UkIqLyYSDSMQYi85GWmY3fz8apwdi7LtxAVk7eVDVLC6B3i9oYcV89hATW5MrYRERGgIHIyCqUDNPttEz8dioGa8OicDg8If94C18XDO8SqLYN4Sw1IiLDxUBkZBVKhu98TDIW7g/HmmNRyMjOW/zRw8kWgzvWxQudAuDtYq/vIhIRUREMRDrGQERat1IzseJIJJYcuIrr/8xSs7a0UKthD78vEO3q1mRlEREZCAYiI6tQMj7ZObnYdiYWC/ddxeGr/+tOa+3vhhFdAlVAsrW21GsZiYjMXRJnmRlXhZJxOxWViIX7r6rNZrV7qcm6Ri90DFBdavJ/IiKqfgxERlahZBriUzKw/FAElhy8hrjkDHXM1soSj7X2wcj76iHIz1XfRSQiMitJbCEyrgol01vX6LdT0arVKCzidv7x4ICaapyRTN+3sWJ3GhFRVWMgMrIKJdN1PPI2Fu4LV6tha9c08nG1VzPTnutQF+5OtvouIhGRyUpiC5FxVSiZvrikdCw9FIFlh64hPiVTHbOztsSzIf54vWdDTtsnIqoCDERGVqFkPjKyc7DxRDQW7A/HqagkdUxmo8kA7FE96sPLmesZERHpCgORjjEQka5pNBocuHwTX22/gNBrt9QxextLDOkUgFfvbwDPGpyZRkRUWQxEOsZARFUZjPZeise0bRfUeCPhYGOFYV0C8Ur3+hxjRERUCQxEOsZARNURjHZeuIGvt1/Ayb8T1TEnWyu1mexL3erBzZGDr4mIyouBSMcYiKg6g9EfZ+NUV9qZ6LwxRs521hjZtZ46uTrY8MkgIiojBiIdYyAifQSjradjMf33CzgXk6yOudhb4+Vu9dVaRs72DEZERPfCQKRjDESkL7m5Gmw5HaO60i7Gpahjbo42anzRsM6BcLKz5pNDRFQCBiIdYyAifcvJ1ajFHaXF6MqNVHVMFnV8tXt9DOkcAEdbBiMioqIYiHSMgYgMKRhtOBGFb36/iKs309QxmaI/qVdjPB3sDytLC30XkYjIYDAQGVmFEpVXdk4u1oZFYcafFxGZcEcda+Hrgo/6tUCHeu6sUCIiMBDpHAMRGfJGsosPXMU3f1xEcnq2OvZYKx9M7tsMfm4O+i4eEZFesYXIyCqUqLLiUzLU4o4rjkRAo8nbJ23U/Q3UycHWihVMRGYpiZu7GleFEunK6euJ+PjXMzgcnqD+9nW1x7t9m6FfKx9YWHB8ERGZlyQGIuOqUCJdr2G0+a8YfLb5LKJu540vCg6oqcYXtazjysomIrORVMXf35bQo6lTpyIkJATOzs7w8vLCgAEDcP78+Xteb9euXWjfvj3s7e1Rv359zJkzp1rKS1TdpCXo0VY++OPN+zHx4cZq01jZQPbxWXvxzi8ncSM5g08KEZGxByIJNqNHj8bBgwexfft2ZGdno1evXkhNzVubpTjh4eHo27cvunXrhrCwMLz33nsYN24cVq9eXa1lJ6pO9jZWGPdgI/z5Zg/0b+OrxhatDI1Ezy93Yu7uy2pANhERVZyFRtrkDcSNGzdUS5EEpe7duxd7mXfeeQcbNmzA2bNn84+NGjUKJ06cwIEDB+66fEZGhjoVbHLz9/dnlxkZtdCrCWp80V9ReZvH1vN0wv892gwPNvPWd9GIiKqESXeZFSUPUri7l7z2ioQeaUUqqHfv3ggNDUVWVlax3XJSgdqThCEiYxcc6I71o+/Dfwa2gmcNW4THp+LFRaF4belRxCWn67t4RERGx2ACkTRUTZw4EV27dkVQUFCJl4uJiYG3d+FfwfK3dLfFx8ffdfnJkyeroKU9RUZGVkn5iaqbpaUFngnxx45JPdR+aLKy9W+nYvDQtF34+Uikek8REZGRBaIxY8bg5MmTWL58+T0vW3TKsfaDv7ipyHZ2dqppreCJyJQ429vgvb7NVItRkJ8LktKz8fbqk3hh3iFE/LMlCBERGUEgGjt2rBoXtGPHDtSpU6fUy9auXVu1EhUUFxcHa2treHh4VHFJiQxXkJ8r1r1+Hyb3aaoWc9x36SZ6Td+FH3ZfUduDEBGRgQYiadmRlqE1a9bgzz//RL169e55nc6dO6sZaQVt27YNwcHBsLGxqcLSEhk+aytLvHp/A2wd3x2d63sgPSsX/958Fk/O3o+z0Un6Lh4RkcHSayCSKfdLly7FsmXL1FpE0vIjpzt38hag044BGjp0aKEZZdeuXVPjjWSm2fz58zFv3jxMmjRJT4+CyPAEejph2csd8fmTLeFsb42Tfyei37d78d+t55CelaPv4hERGRy9TrsvafuBBQsWYPjw4er/8u/Vq1exc+fO/PNlWv6ECRNw+vRp+Pr6qqn4EpTKgitVk7mJS0rHh+tPY8vpvK7m+rWc8MXAVggJLHk2JxGRoeHWHUZWoUSGasupaHyw/nT+6tZDOgXg7UeaqEHZRESGzqzWISKiqvNIkA9+n3A/BgXnrcW15OA19P56N/Zfunu5CiIic8NARGRGXB1t8MVTrbDspY4I8HDE9cR0DP7xEP696Qwysjm2iIjMFwMRkRnq0tATv73RDYM71lV//7AnHP1n7sOF2GR9F42ISC8YiIjMlKOtNT57oiV+GBoMdydbnItJxmPf7sWCfeHIzeUq10RkXhiIiMzcw829sWV8N/RoUguZ2blq09jhC4+o2WlEROaCgYiI4OVsjwXDQzClfwu1yvXuCzfQe/pubDlVeFV4IiJTxUBERPnrgg3tHIiNY7uiuY8LbqVlYdTSo3jnl5NIzchmLRGRSWMgIqJCGnk7Y93o+/Dq/fUha6euDI1E3xl7EBZxizVFRCaLgYiI7mJrbYnJfZph2Uud4Otqj2s30/DUnAOYteMSB1wTkUliICKiEnVu4IHf3uiOfq19kZOrwX+3nsfIRUdwKzWTtUZEJoWBiIjuuZjjjGfb4IuBLdWA653nb+DRGXtwjF1oRGRCGIiIqEwDrgeF1MXa1+9D4D8rXA/6/gDm7w2HHveHJiLSGQYiIiqz5r4u2DC2K/oE1UZWjgZTNp7B6GXHkJyexVokIqPGQERE5eJib4Pvnm+Hj/o1h7WlBTb/FYN+3+7FmetJrEkiMloMRERUoS60EffVw8+jOqtZaFdvpuGJ7/bh5yORrE0iMkoMRERUYe3q1sSmcXnbfmRk5+Lt1ScxadUJ3MnMYa0SkVFhICKiSqnpZIv5w0IwqVdjWFoAvxz9G0/O3o/IhDTWLBEZDQYiIqr8B4mlBcY80AhLX+oIzxq2OBudhP6z9uHglZusXSIyCgxERKQzXRp4YsOYrmjp54qE1Ey88OMhLDlwlVPzicjgMRARkU75ujlg1ajO6N/GF9m5Gnyw/jTeW/sXMrNzWdNEZLAYiIhI5+xtrDB9UBtM7tNUbRC7/HAkBv9wEDeSM1jbRGSQGIiIqMqm5r96fwPMHx4CZ3trhF67hcdn7sVffyeyxonI4DAQEVGV6tnEC+tG34f6tZwQnZiOp+bsx/rjUax1IjIoDEREVOUa1KqhQlHPf9YremPFcXz+2znk5nIfNCIyDAxERFRtW378OCwEr/VooP6es+syXv/pGBdxJCKDwEBERNXGytIC7zzSVA24trWyxJbTMXiWg62JyAAwEBFRtRvQ1g9LXuwAN0cbnIi8rfZBuxibzGeCiPSGgYiI9KJjfQ+sea0LAj0c8fetO2q7j/2X4vlsEJFeMBARkd7Ur1UDa16/D8EBNZGcno2h8w9jVWgknxEiqnYMRESkV+5OtmoPtH6t81a2fuuXk5i27Ty3+yCiasVAREQGsbL1N4PaYHTPvBlo3/55CeNXHkdGdo6+i0ZEZoKBiIgMgqWlBd7q3RT/GdgK1pYWWH/8OobNP4yk9Cx9F42IzAADEREZlGdC/LFwRAfUsLPGwSsJGPT9QcQlpeu7WERk4hiIiMjgdG3kiRWvdIJnDTucjU7CwDn7ER6fqu9iEZEJYyAiIoMU5OeqpuUHeDgiMuEOnpq9Hyf/vq3vYhGRiWIgIiKDVdfDEb+M6oIgPxfcTM3Es3MPYs/FG/ouFhGZIAYiIjJotZztsOKVzrivoQfSMnMwcuERrD8epe9iEZGJYSAiIoMnA6znDw/BY618kJWjwRsrjmPe3nB9F4uITAgDEREZBTtrK8x4ti2GdwlUf3+y8Qy+4gKORKQjDEREZFRrFX3Urzne6t1E/T3jz0v4ZONZrmpNRJXGQERERsXCwgKjezbElP4t1N/z94Xj3dV/ISdXo++iEZERYyAiIqM0tHMgvny6NSwtgJWhkRi3IgyZ2bn6LhYRGSkGIiIyWk+1r4NZg9vBxsoCm05GY9TSo0jP4v5nRFR+DEREZNT6tPTBD0ODYW9jiT/PxWH4gsNIycjWd7GIyMgwEBGR0evRxAuLR3bM3//s+R8P4XZapr6LRURGhIGIiExCh3ruWPZyR7g52uBE5G0M/uEQbqUyFBFR2TAQEZHJaFXHDStf6QzPGrY4E52E5344iJspGfouFhEZAQYiIjIpTWo7Y8UrndSWH+diklUoupHMUEREpWMgIiKT09DLGStf6QRvFztciE3Bs3MPIC4pXd/FIiIDxkBERCapfq0aqvvM19Uel2+k4tm5BxGTyFBERMVjICIikxXo6YSVr3aGn5sDrsSnYtDcA4i6fUffxSIiA8RAREQmzd/dEStf7QR/dwdcu5mGQd8zFBHR3RiIiMjk1anpqLrPAj0c8fetO3hu7kFEJ7KliIj+h4GIiMyCr5sDlr/SCXXdHRGRkKZCEccUEZEWAxERmQ0f17xQVKemA67eTMPgHw5y9hkRKQxERGRWZID18pc75Q+05jpFRCQYiIjILAdaSyjy+WdKvrQUxXNFayKzxkBERGaprkdeKJLFGy/GpeCFHw8hgXufEZktvQai3bt3o1+/fvD19YWFhQXWrVtX6uV37typLlf0dO7cuWorMxGZ1jpFEoq023wMm38YSelZ+i4WEZlbIEpNTUXr1q0xc+bMcl3v/PnziI6Ozj81atSoyspIRKa/ovXylzvC3ckWf0Ul4sWFR3AnM0ffxSKiamYNPerTp486lZeXlxfc3NyqpExEZJ57ny0e2UENsD5y9RZeWRKKH4cFw87aSt9FI6JqYpRjiNq2bQsfHx88+OCD2LFjR6mXzcjIQFJSUqETEVFRQX6uWDA8BA42VthzMR5vLD+O7JxcVhSRmTCqQCQhaO7cuVi9ejXWrFmDJk2aqFAkY5FKMnXqVLi6uuaf/P39q7XMRGQ8ggPdMXdoe9haWWLL6Ri8vfokcnM1+i4WEVUDC41GYxDvdhkcvXbtWgwYMKBc15NB2XLdDRs2lNhCJCctaSGSUJSYmAgXF5dKl5uITM/W0zF4/adjyMnVYGjnAHz8eAv1OUNE+iPf39KwUVXf30bVQlScTp064eLFiyWeb2dnpyqu4ImIqDS9W9TGtKdbQzLQ4gPX8N+t51lhRCbO6ANRWFiY6kojItKlAW398OmAIPX/73Zexnc7L7GCiUyYXmeZpaSk4NKl/33IhIeH4/jx43B3d0fdunUxefJkREVFYfHixer86dOnIzAwEC1atEBmZiaWLl2qxhPJiYhI157vGIDUjGx8tvkc/rPlPJztrDGkcyArmsgEVSgQDR8+HCNHjkT37t0rdeehoaHo2bNn/t8TJ05U/w4bNgwLFy5UawxFRETkny8haNKkSSokOTg4qGC0adMm9O3bt1LlICIqySvdGyAlPRsz/ryED9afhqOtNQa2r8MKIzIxFRpUPXDgQBVEZHDyiBEjVIDx8/ODMajqQVlEZHrkY3LKxjNYsO8qLC2A755vh0eC2FVPBHMfVC1dVNJKM2bMGKxatUp1Y8kCi7/88guysrjsPRGZFplh9sGjzfFMcB3ILPyxy8Ow68INfReLiAxhULWHhwfeeOMNNaj58OHDaNiwIYYMGaL2JZswYUKpM7+IiIyNpaUFpj7ZCo+29EFWjgajlhxFWMQtfReLiAxllpmM89m2bZs6WVlZqfE8p0+fRvPmzfH111/rppRERAbAytICXw9qg+6Na+FOVg5GLjyCyzdS9F0sItJXIJJuMek2e+yxxxAQEKC6zaRVSMLRokWLVDhasmQJpkyZoosyEhEZDFtrS8x+vh1a13HFrbQsDJ13GLFJ6fouFhHpY5aZrPuTm5uL5557TnWXtWnT5q7L9O7dmxuwEpFJcrKzxvzhIXhqzgGEx6di2PzDWPlqZ7g62Oi7aERUnbPMpPXn6aefhr29PYwNZ5kRka5EJqThydn7cSM5Ax3quWPxyA6wt7FiBROZyywzGTytDUOvv/464uPjdV0uIiKD5+/uiEUjOqgFGw+HJ+CNFWFq/zMiMsNB1bJatKQ2IiJz1NzXBXOHBsPWyhJbT8fig/Wn1LpFRGRmgYhvfCIyd50beOCbZ9uozWCXHYrAN39w2REiY2P0m7sSERmCPi19MKV/3maw03+/iKUHr+m7SERUnZu7JicnV/YmiIhMwpBOAWqA9Yw/LuLD9afgWcOWW3wQmXogkmn3slN9XFyc+n9Bld30lYjIWE14qJEKRcsPR2DciuNYPNIWnep76LtYRFQVgejgwYMYPHgwrl27dtcYItnzJycnpyI3S0Rk9OQz8JP+LXAzJQPbzsTi5cWhWP1aFzT2dtZ30YhI12OIRo0aheDgYJw6dQoJCQm4detW/kn+JiIyZ9ZWlpjxXFuEBNZEcno2hs/natZEJrkwo5OTE06cOKE2dDU2XJiRiKrLrdRMDJy9H1fiU9HC10WtZl3DrtJDN4nMUpIhLszYsWNHNX6IiIhKVtPJFgtHdICHky1OX0/C6J+OITun8JhLIjIMFfqpMnbsWLz55puIiYlBy5YtYWNTeP+eVq1a6ap8RERGra6HI+YND8Gzcw9g14Ub+L91pzD1yZZqrBERGXmXmaXl3Q1L8uaWmzL0QdXsMiMifdh+JhavLgmF7OzxVu8mGN3T+IYcEJny93eFWojCw8N1XhAiIlP2cHNv/OvxFvhw/Wn8d+t5+Lk5YEBbP30Xi4gqE4gCAgIqcjUiIrM2tHMg/r51B3N3X8Fbv5yAl4sdujTw1HexiKgyW3dcvnxZjSV66KGH8PDDD2PcuHHqGBERlezdR5ri0ZY+yMrR4NUlR3Ehlqv9ExltINq6dSuaN2+Ow4cPqwHUQUFBOHToEFq0aIHt27frvpRERCbC0tIC055pjeCAvDWKRiw4grikdH0Xi8jsVWhQddu2bdG7d298/vnnhY6/++672LZtG44dO2awFctB1URkKGsUPTl7P8L/WaPo51c7w4lrFBEZ1zpEZ8+exYsvvnjX8ZEjR+LMmTO6KBcRkRmsURSSv0bRGyvCkCNT0IhILyoUiGrVqoXjx4/fdVyOeXl56aJcREQmL8DDCT8MC4attSV+PxuHqZvP6rtIRGarQrPMXn75Zbzyyiu4cuUKunTpotYe2rt3L7744gu1YCMREZVNu7o1Me3p1hi7PAw/7g1HvVpOeL4jZ/ISGcUYIrnK9OnTMW3aNFy/fl0d8/X1xVtvvaVmmxnyCqwcQ0REhujbPy5i2vYLsLK0UF1p3RrV0neRiMzq+7tCgaig5OS8KaPOzs4wBgxERGSI5KP4zZ9PYE1YFJztrLHm9S5o5G0cn6tEZjuo+oEHHsDt27fzg5A2DElh5TwiIiofaVmfOrAlOgS6IzkjGyMXHUF8SgarkaiaVCgQ7dy5E5mZmXcdT09Px549e3RRLiIis2NnbYU5Q9ojwMMRkQl38MriUKRnGe7ekERmO6j65MmT+f+X6fWy272WbOi6ZcsW+Plxbx4ioopyd7LF/OEheGLWPhyLuI23fzmJb55tY9BjM4nMLhC1aZP3ppRTcV1jDg4O+Pbbb3VZPiIis9OgVg3MeaE9hs4/jA0nrqOepxMmPNxY38UiMmnW5d3lXgb+1a9fX23bIesRadna2qo1iKysrKqinEREZqVLQ0/8+4kgvLP6L3zzx0UViga0ZQs8kUEEIu0u97m5uVVVHiIi+segkLq4Ep+K73ddUV1ndWo6IDjQnfVDZEi73Z8/fx5jxozBgw8+qHa8l/+fO3dOt6UjIjJz7/Ruikda1EZmTi5eWXIUETfT9F0kIpNUoUD0yy+/qB3ujx49itatW6sd72VD15YtW2LVqlW6LyURkZmytLTA14PaoKWfKxJSMzFi4WEk3snSd7GITE6FFmaUMUQvvPACpkyZUuj4Rx99hCVLlqgtPQwVF2YkImMUm5SOAbP2IToxHV0bemLBiBDYWFW4kZ/I6CQZ4sKMMt1+6NChdx2XkFRwKj4REemGt4s95g0LgaOtFfZeisdHG06rSS5EpMdA1KNHj2IXYJQNXrt166aLchERURHNfV3w7XNtIUsSLTsUgUX7r7KOiPS52/3jjz+Od955R40h6tSpkzp28OBBNX7o448/xoYNGwpdloiIdOPBZt6Y3KcpPtt8DlM2nkH9WjXQvTE3giXSyxgiS8uyNSzJAo6ygrUh4RgiIjJ28rE9adVJrD72N5ztrbFu9H1qMUciU5ZkiGOIZB2ispwMLQwREZkC+bH52ZNBaB9QE8np2XhpUSgS0zjzjKgyOEWBiMhIN4L9fkh7+Lk5IDw+FaOXHUNWDhfNJarWLjMhW3fIrvdxcXF3rVz91VdfwVCxy4yITMmZ60l4as5+pGXmYFjnAHzcP0jfRSIyyu/vCg2q/uyzz/B///d/aNKkCby9vQvtwswdmYmIqnfmmSzc+OqSo1h04BoaeTvjhU552ywRURW3EEkI+uKLLzB8+HAYG7YQEZEpmrXjEv679TysLC2wZGQHtTkskSlJMsRB1TLL7L777tN5YYiIqGJe79EA/dv4IidXg9d+Ooar8amsSqKqDkQTJkzArFmzKnJVIiKqAjJc4YuBrdDa303tdfbioiNISufMM6Iq7TKTQdSPPvooLly4gObNm8PGxqbQ+WvWrIGhYpcZEZmyuKR0PD5zH2KS0nF/41qYNywY1tzzjExAkiF2mY0dOxY7duxA48aN4eHhoQpY8ERERPrh5WKPH4cFw97GErsu3MDU387xqSCqqhYiZ2dnrFixQrUSGRu2EBGROdh0MlqtTSS+GNgSg0Lq6rtIRKbXQuTu7o4GDRrovDBERKQbj7bywfiHGqn//9+6Uzh05SarlkjXgehf//oXPvroI6SlpVXk6kREVA3eeLCRCkZZOXkzzyIT+JlNpNMus7Zt2+Ly5ctqg8HAwMC7BlUfO5bXTGuI2GVGRObkTmYOnv5+P05FJaGxdw2sfq0LnO0Lf2YTGQODXKl6wIABOi8IERHpnoOtFX4YGoz+M/fhQmwKxq84jrlDg9UCjkSkg73MjBVbiIjIHB2PvI1B3x9ARnYuXr2/Pib3aabvIhEZ/6BqraNHj2Lp0qX46aefEBYWprtSERGRTrXxd8N/nmql/v/9ritYc+xv1jBRZbvMZIf7Z599Vu127+bmpsYSSWLr2bOnmo5fq1atitwsERFVof5t/HAhNhmzdlzGu6v/QqCnE9rVrck6J6rMwozSdHX69GkkJCTg1q1bOHXqlDo2btw4ViwRkYF68+EmeLi5NzJzcvHK4qO4fvuOvotEZLyBaMuWLZg9ezaaNftfH7Rs4SH7m/32229lvp3du3ejX79+8PX1VfvwrFu37p7X2bVrF9q3bw97e3vUr18fc+bMqchDICIyS5aWFpg+qA2a1nZGfEoGXl4cirTMbH0Xi8g4A5HsZVZ0qr2QY3JeWaWmpqJ169aYOXNmmS4fHh6Ovn37olu3bmrM0nvvvadapFavXl2u8hMRmTMnO2s188zdyRanrydh0qoTyM01q/k1RLqZZda/f3/cvn0by5cvV607IioqCs8//zxq1qyJtWvXlvcmVQuRXK+0Kf3vvPMONmzYgLNnz+YfGzVqFE6cOIEDBw4Ue52MjAx10pJuPX9//yobpU5EZCwOhyfg+R8PqoUbZVXr8Q811neRiIxrlpm06CQnJ6tFGWULj4YNG6JevXrq2LfffouqIqGnV69ehY717t0boaGhyMrKKvY6U6dOLbTxrIQhIiICOtRzx6cDglRVTP/9otr/jMhcVWiWmYQKWY16+/btOHfunJplJmOIHnroIVSlmJgYeHt7Fzomf2dnZyM+Ph4+Pj53XWfy5MmYOHHiXS1EREQEtemrLNg4b2843lx1HAEejgjyc2XVkNkpVwvRn3/+qYKPhArx8MMPqxlnMo4nJCQELVq0wJ49e1CVpGutIG2PX9HjWnZ2dqppreCJiIj+Z3Kfpri/cS2kZ+WqQdZxyemsHjI75QpE06dPx8svv1xsqJDuqFdffRVfffUVqkrt2rVVK1HRNZGsra3h4eFRZfdLRGTKrK0sMeO5tqhfywnRiel4dclRpGfl6LtYRIYbiGTw8iOPPFLi+TK+R1avriqdO3dW3XQFbdu2DcHBwcXOeiMiorJxdbDBvGEh6t+wiNt4b81f+S3wROagXIEoNja21OAhLTU3btwo8+2lpKTg+PHj6qSdVi//j4iIyB//M3To0EIzyq5du6bGBMlMs/nz52PevHmYNGlSeR4GEREVo56nE2YNbqc2fl0TFoXvd19hPZHZKFcg8vPzw19//VXi+SdPnix2YHNJZHZY27Zt1UlI0JH/f/jhh+rv6Ojo/HAkZCbb5s2b1ZYhbdq0wSeffIIZM2Zg4MCB5XkYRERUgq6NPPFRv+bq/19sOYffz8SyrsgslGsdIhlALWHkyJEjaqXogu7cuYMOHTqo/cwkpBgq7nZPRFQ6+Vr4v3Wn8NOhCDjZWmHN6/ehSW1nVhuZ9Pd3uQKRdJm1a9cOVlZWGDNmDJo0aaJmd0n3lWzbkZOTo6bjF50ab0gYiIiI7i0rJxdD5h3CwSsJ8Hd3wPrRXdXK1kT6YlCBSMgYntdeew1bt24tNOVdFkj87rvv1GKNhoyBiIiobG6lZqL/rH2ISEhDx3ruWPJiR9haV2g9XyLTC0RassP9pUuXVChq1KiR2rLDGDAQERGV3YXYZDz53X6kZGTjuQ518dkTQSWu+0Zkdlt3CAlAshijjBsyljBERETl09jbGTOeawPJQMsPR2DxgWusQjJJbPskIqJSPdDUW61mLaZsPIM9F8u+vAqRsWAgIiKie3q5W3082c4PObkajP7pGK7cSGGtkUlhICIionuScUOfPdES7eq6ISk9Gy8tCkXinSzWHJkMBiIiIioTexsrzBnSHr6u9rgSn4qxy8OQnZPL2iOTwEBERERl5uVsj7lDg+FgY4XdF27gs83nWHtkEhiIiIioXIL8XPHVM63V/+fvC8eKw//bYonIWDEQERFRufVp6YOJDzdW//9g/SkcunKTtUhGjYGIiIgqZOwDDfFoKx9k5Wjw2k/HEJmQxpoko8VAREREFZ559uVTrRHk54KE1Ey8vDhUrWhNZIwYiIiIqMIcbK3ww9Bg1HK2w7mYZIxfcRy5uRXaEYpIrxiIiIioUnxcHTB3SHu18evvZ2Px5bbzrFEyOgxERERUaW3r1sR/BrZS//9u52WsC4tirZJRYSAiIiKdGNDWD6/1aKD+//bqkzgWcYs1S0aDgYiIiHTmrV5N8FAzb2Rm5+KVxaGceUZGg4GIiIh096ViaYFvnm2D5j4uiE/JxMiFR5CUzj3PyPAxEBERkU452Vlj3vBgeLvY4WJcCkb/dAxZ3POMDBwDERERVcnMs3nDQtSeZ3suxuOjDaeh0XA6PhkuBiIiIqqyPc9mPNcWFhbAskMRmLc3nDVNBouBiIiIqszDzb3xft9m6v//3nwW207HsLbJIDEQERFRlXqxaz0837EupMfsjRXHcSoqkTVOBoeBiIiIqnzPs3893gLdGnniTlYOXlx0BNGJd1jrZFAYiIiIqMrZWFli1vPt0MirBmKTMvDiwlCkciNYMiAMREREVC1c7G0wf3gIPGvY4kx0Et5YEYYcbgRLBoKBiIiIqo2/uyPmDg2GndoINg7/3nSWtU8GgYGIiIiqVbu6NTHtmdbq//P3hWPJgat8BkjvGIiIiKjaPdbKF2/1bqL+/69fz2Dn+Tg+C6RXDERERKQXr/dogIHt6qhxRGOWheFsdBKfCdIbBiIiItLbdPypT7ZEx3ruSMnIxogFR3D9Nqfjk34wEBERkd7YWlti7pBgNPSqgZikdBWKEu9k8RmhasdAREREeuXqaIOFI0JQy9kO52OTMWrJUWRm5/JZoWrFQERERHpXp6YjFgwPgZOtFQ5cuYm3fzmBXK5RRNWIgYiIiAxCkJ8rZr/QHtaWFlh3/Dr+u+28votEZoSBiIiIDEb3xrXUQGsxe+dlLDl4Td9FIjPBQERERAbl6WB/THy4sfr/R+tPYfuZWH0XicwAAxERERmcsQ80xLMh/pBhRGOXH0NYxC19F4lMHAMREREZ5BpFnwwIQo8mtZCelYuXFoXianyqvotFJoyBiIiIDJKNlSVmDW6HID8X3EzNxLAFh3EjOUPfxSITxUBEREQGy8nOGvOHh8Df3QHXbqZh2PzDSErnwo2kewxERERk0Lyc7bF4ZEd41rDFmegkvLI4FOlZOfouFpkYBiIiIjJ49TydsHBEB9Sws8bBKwl4Y0WY2hSWSFcYiIiIyGgWbpw7tD1srSyx9XQs/m/dX9BoGIpINxiIiIjIaHRp4IkZz7WBpQWw/HAkpm27oO8ikYlgICIiIqPySJAPPh2Qt5r1zB2XMH9vuL6LRCaAgYiIiIzO4I51MalX3mrWUzaewbqwKH0XiYwcAxERERml0T0bYniXQPX/SatOYMf5OH0XiYwYAxERERntatYfPtYcj7f2RXauBq8tPYpDV27qu1hkpBiIiIjIaFlaWuDLp1uj5z9bfLy4KBTHI2/ru1hkhBiIiIjIqNlaW2L2C+3Rub4HUjKy1WrWZ6OT9F0sMjIMREREZPTsbazw47BgtKvrhsQ7WRgy7xCu3EjRd7HIiDAQERGRyex7tmBEBzT3cUF8Siae//EQIhPS9F0sMhIMREREZDJcHWyw5MUOaOhVA9GJ6SoUxSal67tYZAQYiIiIyKR41LDD0hc7oq67IyIS0lQoupmSoe9ikYFjICIiIpNT29UeP73UET6u9rgUl4Kh8w/jdlqmvotFBoyBiIiITJK/uyOWvtQRnjVscfp6El6YdwiJaVn6LhYZKL0Hou+++w716tWDvb092rdvjz179pR42Z07d6qFuIqezp07V61lJiIi49CgVg389FIneDjZ4lQUQxEZaCBauXIlxo8fj/fffx9hYWHo1q0b+vTpg4iIiFKvd/78eURHR+efGjVqVG1lJiIi49KktjOWvdwJ7k62+CsqEUPmH1JT84kMJhB99dVXePHFF/HSSy+hWbNmmD59Ovz9/TF79uxSr+fl5YXatWvnn6ysrKqtzEREZKyhqKMKRSf/TsRQ6T5jKCJDCESZmZk4evQoevXqVei4/L1///5Sr9u2bVv4+PjgwQcfxI4dO0q9bEZGBpKSkgqdiIjI/DSt7aIGWtd0tMEJCUXzDyMpnS1FpOdAFB8fj5ycHHh7exc6Ln/HxMQUex0JQXPnzsXq1auxZs0aNGnSRIWi3bt3l3g/U6dOhaura/5JWqCIiMg8NfNxUd1nKhRF3saQeQxFlMdCo9FooAfXr1+Hn5+fag3q3Llz/vF///vfWLJkSZkHSvfr108NrN6wYUOJLURy0pIWIglFiYmJcHFx0cEjISIiY3PmehIG/3gQt9Oy0NrfDYtHdICro42+i0WlkO9vadioqu9vvbUQeXp6qrE/RVuD4uLi7mo1Kk2nTp1w8eLFEs+3s7NTFVfwRERE5q25b173mds/LUXP/XCQizeaOb0FIltbWzXNfvv27YWOy99dunQp8+3I7DTpSiMiIiqPFr6uWPFKJ3jWsMOZ6CQMmnuQ23yYMWt93vnEiRMxZMgQBAcHq24zGR8kU+5HjRqlzp88eTKioqKwePFi9bfMQgsMDESLFi3UoOylS5eq8URyIiIiqshA65WvdsLzPxxSK1o/8/0B1XJUp6YjK9PM6DUQDRo0CDdv3sSUKVPUekJBQUHYvHkzAgIC1PlyrOCaRBKCJk2apEKSg4ODCkabNm1C37599fgoiIjI2BdvXDWqsxpTdO1mGp6Zc0ANvA70dNJ30cgcBlWb6qAsIiIyTtGJd1RL0ZX4VHg526mWokbezvouFpn6oGoiIiJD4uPqgJWvdkbT2s6IS85QY4pO/n1b38WiasJARERE9I9aznZqoHWrOq5ISM3Ec3MPYu/FeNaPGWAgIiIiKsDN0VZ1l3Vp4IHUzByMWHgYG09eZx2ZOAYiIiKiIpztbbBgRAgebemDrBwNxi4Pw+IDV1lPJoyBiIiIqBh21laY8VxbDOkUAJl+9OH60/hq+wWY2Vwks8FAREREVAIrSwtM6d8C4x9qpP6e8cdFvL/uFHJyGYpMDQMRERFRKWS/zPEPNcanA4JgYQEsOxSBV5eEIi0zm/VmQhiIiIiIyuCFTgH4bnA72Flb4vezcRj0/UHEJaWz7kwEAxEREVEZ9Wnpo1axdneyxV9RiXjiu/04H5PM+jMBDERERETl0D6gJta+3gX1PZ0QdfsOnpq9n2sVmQAGIiIionIK8HDCmte7oEOgO5IzsjF8wWH8fCSS9WjEGIiIiIgquIDjkpc6oH8bX2TnavD26pP4+NfTyM7JZX0aIQYiIiKiSqxVNH1Qm/xp+Qv2XcXwBUdwOy2TdWpkGIiIiIh0MC1/zgvt4Ghrhb2X4tF/1j5ciOVga2PCQERERKQDjwT5YPVrXVCnpgOu3UzDE7P2YfuZWNatkWAgIiIi0pFmPi7YMKYrOtV3VxvDvrIkFDP/vMjtPowAAxEREZEOyRpFS17siKGd8/ZA+3LbBby65CgS72Sxng0YAxEREZGO2VhZYkr/IEx9siVsrSyx7Uws+n27F6eiElnXBoqBiIiIqIo816EufnmtsxpXFJGQhidn71d7oWmk6YgMCgMRERFRFWpVxw2bxnbDg029kJmdi/fW/oWJP5/g5rAGhoGIiIioirk62uCHocF455GmsLK0wNqwKPSfuQ8XOTXfYDAQERERVccXrqUFXuvRAMte6ggvZztcjEvBY9/uxZKD19iFZgAYiIiIiKpRx/oe2DSuG7o18kRGdi4+WHcKLy8Oxc2UDD4PesRAREREVM1qOdth0YgO+OCx5moW2u9n49B7+h7sunCDz4WeMBARERHp4wvY0gIvdq2H9WPuQyOvGohPycCw+YfVBrHpWTl8TqoZAxEREZGeV7f+dWxXDOsckL9B7KMz9uBYxC0+L9WIgYiIiEjP7G2s8HH/ICwYHqK60y7fSMVTs/fjs81n2VpUTRiIiIiIDETPpl7YPqE7nmznh1wNMHf3FfSdsQdHr7G1qKoxEBERERkQN0dbfPVMG8wbFqym51+R1qI5+zHl1zNIzcjWd/FMFgMRERGRAXqwmTe2T7gfA9vVUZvEzt8Xjoe+2oWtp2P0XTSTxEBERERkwCtcT3umNRaOCIG/uwOiE9Px6pKjeGlRKP6+labv4pkUBiIiIiID16OJF7aNvx+jezaAjZUFfj8bi4e/2o05uy6r/dGo8iw0ZrblblJSElxdXZGYmAgXFxd9F4eIiKhcZP+z99eewuGrCervQA9HvP9oczzUzAsWFhYmW5tJVfz9zUBERERkZKQtY/WxKHyx5RxuJOdt+dG1oada+bpJbWeYoiQGIuOqUCIiouqSkpGN73Zcwo97w1XXmaUFMLhjXUx8uAncnWxN6olIYiAyrgolIiKqbpEJaWoRx99O5c1Ac7azxsvd66utQZzsrE3iCUliIDKuCiUiItKXg1du4pONZ3D6epL628PJFqN7NlStRrIatjFLYiAyrgolIiLSp9xcDTb+FY2vtp3H1Zt5U/N9Xe0x/qHGagVsayvjnGCexEBkXBVKRERkCLJycrEq9G/M+OMiYpLS1bG67o4YdX8DDGzvBztr42oxSmIgMq4KJSIiMiTpWTlYcuAaZu+6jITUTHWstou9GmP0XAd/ONoaxxgjBiIjq1AiIiJDlJaZjeWHIzF392XEJuVN1ZeZaDLw+oVOAXB1sIEhYyAysgolIiIyZBnZOVh9NAqzd11CZMIddczR1krtmTb8vkA0qFUDhoiByMgqlIiIyBhk5+Ti15PXMWfnFZyPTc4/3rNJLYy4rx66NfI0qJWvGYiMrEKJiIiMbdXrA5dvYv6+cPxxLg7aDb0aetXA4A518URbP9Q0gEUeGYiMrEKJiIiM1dX4VCzcfxWrQiORmpmjjtlaW+KRFrXxbIg/OtX3gKUsh60HDERGVqFERETGLik9C+vDotQg7DPReYs8igAPRwwK8VetRj6uDtVbJk67N64KJSIiMqXutFNRSVh+JAIbjl9Xe6cJGVrUIdAd/dv4oW/L2nBzrPouNQYiI6tQIiIiU5SakY1Nf0Xjl9C/cfhqQv5xGysL3N+4Fvq19sUDTb3gbF810/cZiIysQomIiExd1O072HjiOtYfv16oS03CUZcGnujdojYeau4FL2d7nd0nA5GOMRARERHpzsXYZBWMNv8VjSvxqfnHpVutrb8berWojR5NaqGJt3OlpvEzEOkYAxEREVHVuBSXgq2nY7DtTCxORN4udJ6Xsx26NaqF7o091b+ySnZ5MBDpGAMRERFR1YtJTMf2MzH4/WwcDoXfRHpWbv550lAU5OuKLg090LGeO9oHuN9z6xAGIh1jICIiIqr+DWZDr97C7os3sPvCDZyL+d/K2NqA1LS2iwpHHeq5IyTQHbWc7QpdhoFIxxiIiIiI9Cs2KR17L8arlqPD4Qm4ejPtrsv4uTmgtb8rWtVxQ6s6rghwtkAdb88qmxRloZFFBswIAxEREZFhiUtKV1P5JRzJSfZWK5pONJlpiPj6mSoLRNY6v0UiIiKicvByscdjrXzVSSSnZ+GvqESc/DtRDc6WfyNj725F0iW2EBEREZHBuxJ1Aw3qeFVZC5Glzm+RiIiISMc8iwyy1jUGIiIiIjJ7eg9E3333HerVqwd7e3u0b98ee/bsKfXyu3btUpeTy9evXx9z5syptrISERGRadJrIFq5ciXGjx+P999/H2FhYejWrRv69OmDiIiIYi8fHh6Ovn37qsvJ5d977z2MGzcOq1evrvayExERkenQ66Dqjh07ol27dpg9e3b+sWbNmmHAgAGYOnXqXZd/5513sGHDBpw9ezb/2KhRo3DixAkcOHCg2PvIyMhQp4LT7v39/bm5KxERkRFJquLN2fXWQpSZmYmjR4+iV69ehY7L3/v37y/2OhJ6il6+d+/eCA0NRVZWVrHXkWAlFag9SRgiIiIiMohAFB8fj5ycHHh7exc6Ln/HxMQUex05Xtzls7Oz1e0VZ/LkySpNak+RkZE6fBRERERkCvS+MKOFbGBSgPTgFT12r8sXd1zLzs5OnYiIiIgMroXI09MTVlZWd7UGxcXF3dUKpFW7du1iL29tbQ0PD48qLS8RERGZLr0FIltbWzV9fvv27YWOy99dunQp9jqdO3e+6/Lbtm1DcHAwbGxsqrS8REREZLr0Ou1+4sSJ+PHHHzF//nw1c2zChAlqyr3MHNOO/xk6dGj+5eX4tWvX1PXk8nK9efPmYdKkSXp8FERERGTs9DqGaNCgQbh58yamTJmC6OhoBAUFYfPmzQgICFDny7GCaxLJAo5yvgSnWbNmwdfXFzNmzMDAgQP1+CiIiIjI2HFzVyIiIjJ4JrsOEREREZGhYCAiIiIis8dARERERGaPgYiIiIjMHgMRERERmT0GIiIiIjJ7DERERERk9hiIiIiIyOzpfbf76qbRaPIXeCIiIiLjoP3e1n6P65rZBaLk5GT1r7+/v76LQkREROUkW37JitW6ZnZbd+Tm5qJx48Y4evQoLCwsyn39kJAQHDlypEqvU5bLS1KWUBcZGVklS5gbm4o8L6Zatqq6P13dbmVup6rff3zvVc9zUp1M4f3H914e2bKjbt26uHXrFtzc3KBrZtdCZGlpCVtb2wqnSysrq3IHkPJepzyXl8sxEFXseTHVslXV/enqditzO1X9/uN7r3qek+pkCu8/vvfu/h6vCmY5qHr06NHVet3yXqcy5TNXhlxn1V22qro/Xd2uIb//DPl1ZKgMvc5M4f3H9171MLsuM1NR1bv+EhHfe0SGhLvdU7Hs7Ozw0UcfqX+JqPrwvUdkmu89thARERGR2TPLMUREREREBTEQERERkdljICIiIiKzx0BEREREZo+BiIiIiMweA5GJk609evTogebNm6NVq1ZYtWqVvotEZFaeeOIJ1KxZE0899ZS+i0Jk0jZu3IgmTZqgUaNG+PHHH8t9fU67N3HR0dGIjY1FmzZtEBcXh3bt2uH8+fNwcnLSd9GIzMKOHTuQkpKCRYsW4ZdfftF3cYhMUnZ2tvrhL+83WaxYvusOHToEd3f3Mt8GW4hMnI+PjwpDwsvLS704EhIS9F0sIrPRs2dPODs767sYRCbt8OHDaNGiBfz8/NT7rW/fvti6dWu5boOBSM92796Nfv36wdfXFxYWFli3bt1dl/nuu+9Qr1492Nvbo3379tizZ0+F7is0NBS5ubnw9/fXQcmJjF91vv+IqOrei9evX1dhSKtOnTqIiopCeTAQ6Vlqaipat26NmTNnFnv+ypUrMX78eLz//vsICwtDt27d0KdPH0RERORfRl4YQUFBd53kBaJ18+ZNDB06FHPnzq2Wx0VkDKrr/UdEVfteLG5bVglW5SKbu5JhkKdj7dq1hY516NBBM2rUqELHmjZtqnn33XfLfLvp6emabt26aRYvXqyzshKZmqp6/4kdO3ZoBg4cqJNyEpk6VOC9uG/fPs2AAQPyzxs3bpzmp59+Ktf9soXIgGVmZuLo0aPo1atXoePy9/79+8t0G/LaGj58OB544AEMGTKkikpKZHp08f4joup5L3bo0AGnTp1S3WTJycnYvHkzevfuXa77sdZBWamKxMfHIycnB97e3oWOy98xMTFluo19+/appkaZcq/tk12yZAlatmxZJWUmMhW6eP8J+VA+duyY6hKQcQ1r165FSEhIFZSYyHzfi9bW1pg2bZqaxCBjZd9++214eHiU634YiIxA0X5QafUpa99o165d1YuDiKr//SfKO9OFiCr2Xnz88cfVqaLYZWbAPD09YWVlddevUVlPqGhSJiK+/4hMkWc1fRcyEBkwW1tbNYNl+/bthY7L3126dNFbuYjMAd9/ROb1XmSXmZ7JCraXLl3K/zs8PBzHjx9XCyjWrVsXEydOVIOhg4OD0blzZzVtXqYZjho1Sq/lJjIFfP8RGYYUQ/gurNTcOKo0mY4rT0PR07Bhw/IvM2vWLE1AQIDG1tZW065dO82uXbtY80Q6wPcfkWHYYQDfhdzLjIiIiMwexxARERGR2WMgIiIiIrPHQERERERmj4GIiIiIzB4DEREREZk9BiIiIiIyewxEREREZPYYiIiIiMjsMRARERGR2WMgIiK9GT58OAYMGJD/d48ePTB+/PgqvT8LCwt1WrduHfTlX//6V345pk+frrdyENH/MBARUZlDhLW1tdpo8bXXXsOtW7d0XnNr1qzBJ598UqXPyCOPPILo6Gj06dMn/5j28R08eLDQZTMyMuDh4aHO27lzp87KMGnSJFWGOnXq6Ow2iahyGIiIqMwh4urVq/jxxx/x66+/4vXXX9d5zcnO1s7OzlX6jNjZ2aF27drq34L8/f2xYMGCQsfWrl2LGjVq6LwMcptSBisrK53fNhFVDAMREZU5REiLRq9evTBo0CBs27Yt//ycnBy8+OKLqFevHhwcHNCkSRN88803hW5DLjNx4kS4ubmpVpe3334bGo1saI0Su8yK69qS6y9cuFD9PzMzE2PGjIGPjw/s7e0RGBiIqVOnVugZHTZsGFasWIE7d+7kH5s/f746XpCEQimXXLZLly7qflu0aHFXC9Lp06fx6KOPwsXFRYW8bt264fLlyxUqGxFVPQYiIiqXK1euYMuWLbCxsck/lpubq8LSzz//jDNnzuDDDz/Ee++9p/7WmjZtmgoY8+bNw969e5GQkKBaYCpjxowZ2LBhg7qf8+fPY+nSpSoUVUT79u1VoFu9erX6OzIyErt378aQIUOKvfxbb72FN998E2FhYSoYPf7447h586Y6LyoqCt27d1dh6c8//8TRo0cxcuRIZGdnV+LRElFVsq7SWycik7Bx40bVzSOtPOnp6erYV199lX++hKOPP/44/28JFvv371dB5ZlnnlHHZPDw5MmTMXDgQPX3nDlzsHXr1kqVKyIiAo0aNULXrl1Vq01AQEClbm/EiBEqtL3wwguq+6xv376oVatWsZeVlintY5k9e7YKiRL2pOVr1qxZcHV1Va1I2uDYuHHjSpWNiKoWW4iI6J569uyJ48eP49ChQxg7dix69+6t/i1IAk5wcLAKEBKefvjhBxVYRGJiohqD1Llz5/zLywBtuXxlB3xLuaSLbty4cYW68SpCgtCBAwdUK5h0y0mrTkmKeyxnz55Vf0uZpIusYCsaERk2BiIiuicnJyc0bNgQrVq1Ut1UMvuqYIuQtARNmDBBBQgJJRIIpLVFxvhUhrT6FB1nlJWVlf//du3aITw8XM1Mk7E/0hr11FNPVfj+ZGzTY489psZDSUtYwZloZS2vkHFURGRcGIiIqNw++ugjfPnll7h+/br6e8+ePWocjcw8a9u2rQpPBQcQS/eRDHwuOK1dxtPI2JrSSGuTtCxpXbx4EWlpaYUuI4OWZZC3tEitXLlSjQGS8UkVJaFOBkgPHTq01FlgxT2Wpk2bqr8lOEqdFAxvRGTYGIiIqNxkNpjMrPrss8/U3xKAQkND1ZigCxcu4IMPPsCRI0cKXeeNN97A559/rgZSnzt3ToWn27dvl3o/DzzwAGbOnIljx46p2x81alShbqivv/5ajdOR25P7XbVqlZoNJzPRKrPEwI0bNzBlypRSLyfjhLSPZfTo0WpdJm0Xm4wvSkpKwrPPPqvKLUFuyZIlauA3ERkmBiIiqhCZQi+tMjIbS4LKk08+qVpqOnbsqGZbFV2nSGZkSauLjPuR8TcyFf2JJ54o9T5kZpqsDyQztgYPHqwWNHR0dMw/X8YqffHFF2r8TkhIiJoSv3nzZlhaVvyjTbq9PD09YWtrW+rlJNzJfbdu3Vq1Bq1fv15dT9v1JrPLUlJScP/996sZbFJXHFNEZLgsNEU76ImITJSEMWmVqsy2HRK6ZBadTLdv06ZNpcojSwTIuktVuV0JEZUNW4iIyCyXEJB/9UW6GqUM2ll4RKR/bCEiIrMRFxenxvYIGeQts+f00UIkg761A79l4LgMOici/WIgIiIiIrPHLjMiIiIyewxEREREZPYYiIiIiMjsMRARERGR2WMgIiIiIrPHQERERERmj4GIiIiIzB4DEREREcHc/T9bEv5JMYr/1QAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(r, y)\n", "plt.xlabel('Radius [Mpc]')\n", "plt.ylabel('Compton-y')\n", "plt.xscale('log')\n", "plt.xlim(0.006,1)\n", "plt.title('Compton-y Profile vs. Radius, $M_{200}$='+f'{M200:.2E}, z={z:0.2f}')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Profile Visualization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The end goal of this section is to generate a convolved CMB map + SZ cluster with noise.\n", "\n", "In order to create a Compton y map, we utilize the `make_y_submap` function. This 2D submap has different values than the `y` above, because of the different pixelization choices." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "y_max = 2.1240205860820517e-05, y_min = 0.0\n" ] }, { "data": { "image/png": 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0KN3+XD1DtMeVp0C9qfS9UatWrXTbay8p7WGnPaa0J90dd9yRbnDC4cOHm0HscuXKZbbR8xfO8QY6Vtd7PZzXvVKlSqYHVagiPU8nTpwwA0pqryTtLXjDDTeY56zldPH3WKGc06ymx6G9zlw++eQTs06fs+eiPRNd39X6OmTUO27QoEEBH/PMmTNmAEvfnlFORnDiAPfff7/5MJ87dy7dfbfffrv5Avjzzz/NF1vRokW9vkwyuh/ZPzJrQkKC9d1338XFS+GE5xvooh3Ltm/fbo55woQJViyKpXPqG5zMnj3bBNw//vijtWfPHq/lyJEjpox2kd61a1fQRbvHB3PTTTdZAwcOtOIF1To5nHbN0zlctKrAs52CVi9od01NBWvKWFOB2pBMB3DyLJfR/che2jalT58+7ioAp4u355vdtEpCv0O0Kljbnug8PwiPVpnqoIDabVu/c/3RKjt/83mF6sKFC6Z7daD9OxHBSQ5XsWJFd48Hf7QNhTYazOz9yF5aBx9P4u35ZjdttK5jI2n3+k8//dS0iUJ62nlAx2LxbOOl401pN2ptF6JjrGjPI21HpcGKdirQEYw1yNa2ZuEaNmyYu2GyBj3a5kTbeukPyXiRoOmT7D4IAABilTbO9tcFX4MFbdSrjbA1gNBGrNrbSDPR2mBbh1LITBawT58+ZuA3DXL0B6R2INBAMtKZ03OSHBWcZDRKnz4VfTNoK33tpqgtnnWQn4zmctHukdrqW1Oc2mNDBwvTrpMAAMB+OWriP9cofToplT86FPLYsWPN/TqWg44noV3OXN06/dHJtnTcBh0fRIdc1r/aLS07ZlkFAAA5LHPiSfv5e2ZO9GloH3Od5VWHQ3Y1ItL5CHSkPh2i2R8NTLQuTxuQuujYHDpKo7+pxAEAQNZyTINYbaCkQxu3b9/evU4HndLBnDZs2BAwONHMie/U4joJ2bhx4wI+lgY9urjoyI06x4jWM2bFYE4AgKylP3A1y64/cnX6gKyg0wO45tCKVGJiYqZGVs4pHBOcuGZr9J2BU2/7mzHUczt/2wSb/VFHb/SdMRIAkPOlpKQEHaU2ksCkcsUr5Oixy1HZX+nSpc2PcqcGKI4JTlx8MxcaDWeUzQh3G53TQ2fU9JwXR7t83SCdJI/kzfSxAwCyR6pcknWyxD2PWbRpxkQDkwNbKklS4cgyM6dOp0nFhvvNPglOYpxr9kbNeHhONa59xH0zI77b+WZJMtpGq4v8TSeugUmeBIITAMhx/tf6Mqur5q8onGCWSKSJ85sP5KjeOsFUrlzZBBorVqxwr9OoUici0wmTAtG+6J7bqOXLlwfdBgCAzLhspUVlcbo8ThmlT6tVtKeOzgCpU1Trov/WEQ91RlQXHcVPh2nXdiOu2ThbtmxpevR069bNTL2+cuVKWbduXbY8RwCAc6WJZZZI9+F0OSo42bx5s9cofa52H65R+p566ik5d+6cmULdNQibZkE86xCTk5O9WmJrhmT27Nny/PPPm4HYdBA2nV/GNX04AACwV44d5ySW6DgpRYoUkdbSjTYnAJADpVqXZLUsMB0ckpKSsuw6cXh3uag0iC1b/WCWHWssyFGZEwAAcrLLlmWWSPfhdI5pEAsAAJyBzAkAADahQWxoCE4AALAxOLlMb50MUa0DAABiCpkTAABsQrVOaAhOAACwCb11QkO1DgAAiClkTgAAsInOihPpzDhp4nwEJwAA2ORyFHrrXI6DuXWo1gEAwCaXregs4dCJbhs3bmzmmStZsqR0795ddu/eneF2a9askYYNG0r+/PmlSpUqMmnSpHRl5s6dK9dcc43ky5fP/J0/f75EA8EJAAAOtmbNGhk0aJB8/fXXsmLFCklNTZX27dvL2bNnA26zb98+6dSpk7Ro0UK2bt0qzz77rDz22GMmGHHZuHGj9O7dW/r27Svbt283f3v16iXffPNNxMfMxH9RwMR/AJCz2TXx37YfSkrhCCf+O306TepdcyzTx/rbb7+ZDIoGLS1btvRb5umnn5aFCxfKrl273OsGDhxoghANSpQGJvq8li5d6i5z8803S7FixWTWrFkSCTInAADYJE0S5HKES5okRHQMGtSo4sWLByyjAYhmVzx16NBBNm/eLJcuXQpaZsOGDRIpGsQCAJADnTp1yuu2tvvQJRjLsmTo0KFyww03SO3atQOWO3r0qJQqVcprnd7WKqHff/9dypQpE7CMro8UmRMAAGySZkVnUeXLlzdVRa5FG75mZPDgwfLdd9+FVO2SkJCQLrDxXe+vjO+6zCBzAgCATVxVM5HuQ6WkpHi1Ockoa/Loo4+adiRr166VcuXKBS1bunTpdBmQY8eOSZ48eeTKK68MWsY3m5IZZE4AAMiBkpKSvJZAwYlmMzRjMm/ePPnyyy+lcuXKGe67WbNmpmePp+XLl0ujRo0kb968Qcs0b95cIkXmBACAHJg5CZV2I/74449lwYIFZqwTV7ZDq4IKFChg/j18+HA5dOiQzJgxw90zZ/z48aZ9ygMPPGAav06ZMsWrOmjIkCGmt8+rr74q3bp1M/tfuXKlrFu3TiJF5gQAAJukWQlRWcIxceJE00OndevWpiGra5kzZ467zJEjRyQ5Odl9W7MrS5YskdWrV0u9evXkpZdekrfeektuu+02dxnNkMyePVumTZsm1157rUyfPt3ss0mTJhIpxjmJAsY5AYCcza5xTtbtLCtXRDjOyZnTaXJD7cNZdqyxgGodAAAcXK2TExGcAABgk8uSyyyR7cP5CE4AALCJlYk2I/724XQ0iAUAADGFzAkAADahzUloCE4AALDJZSuXWSLbhzge1ToAACCmkDkBAMAmaZIgaRHmBdLE+akTghMAAGxCm5PQUK0DAABiCpkTAAByVINYS5yO4AQAAFvbnEQ2iFpaHAxfT7UOAACIKWROAACwSVoU5tZJi4PeOo7KnFSqVEkSEhLSLYMGDfJbfvXq1X7L//jjj7YfOwAgftqcRLo4naMyJ5s2bZLLl///fI07d+6Udu3aSc+ePYNut3v3bklKSnLfLlGiRJYeJwAgfjMnjHMSZ8GJb1DxyiuvSNWqVaVVq1ZBtytZsqQULVo0i48OAACEwrG5oYsXL8rMmTPlvvvuM1U1wdSvX1/KlCkjbdu2lVWrVmW47wsXLsipU6e8FgAAMnLZSojK4nSODU4+//xz+eOPP6R///4By2hAMnnyZJk7d67MmzdPqlevbgKUtWvXBt336NGjpUiRIu6lfPnyWfAMAABOo41ho7E4XYJlOXM0lw4dOkhiYqIsWrQorO26du1qMi0LFy4MmjnRxUUzJxqgtJZukichb0THDQCwX6p1SVbLAjl58qRXG8Ro0euE/pidvrWuFCycO6J9/Xn6svSvvz3LjjUWOKrNicuBAwdk5cqVJhsSrqZNm5rqoGDy5ctnFgAAwpFm5TJLJNKcmVNwfnAybdo008i1c+fOYW+7detWU90DAEC0RaNa5nIcjHPiuOAkLS3NBCf9+vWTPHm8n97w4cPl0KFDMmPGDHN73LhxZmyUWrVquRvQavsTXQAAQPZwXHCi1TnJycmml46vI0eOmPtcNCAZNmyYCVgKFChggpTFixdLp06dbD5qAEA8SPtfj51I9+F0jm0QaydXQycaxAJAzmRXg9iJ3zaWAldElhc4dyZVHm6wydENYp3fHwkAAOQojqvWAQAgVkVjbpzLzK0DAACiJU0SzBLpPpyOzAkAADYhcxIa2pwAAICYQuYEAIAcNQhbLnE6ghMAAGySZiWYJdJ9OJ3zwy8AAJCjEJwAAGCTtP9V60SypIV56V67dq107dpVypYtKwkJCfL5558HLd+/f39TznfRUdRdpk+f7rfM+fPnJRoITgAAsHlW4kiXcJw9e1bq1q0r48ePD6n8m2++aaZ7cS0pKSlSvHhx6dmzp1c5HZ3Ws5wu+fPnl2igzQkAAA7WsWNHs4RKh9nXxUUzLSdOnJB7773Xq5xmSkqXLi1ZgcwJAAA2uSwJUVlc8/V4LhcuXJCsMGXKFLnpppukYsWKXuvPnDlj1pUrV066dOkiW7dujdpjEpwAAJADq3XKly/vznLoMnr06Kgfr1bVLF26VO6//36v9TVq1DDtThYuXCizZs0y1TnXX3+97NmzJyqPS7UOAAA5UEpKitesxPny5Yv6Y2gAUrRoUenevbvX+qZNm5rFRQOTBg0ayNtvvy1vvfVWxI9LcAIAgE0u/69qJ9J9KA1MPIOTaLMsS6ZOnSp9+/aVxMTEoGVz5coljRs3JnMCAEBOk5neNr4i3T5Ua9askb1798qAAQNCCmS2bdsmderUicpjkzkBAMDBE/+dOXPGBBku+/btM4GEdg+uUKGCDB8+XA4dOiQzZsxI1xC2SZMmUrt27XT7HDVqlKnWqVatmmmMq1U5us8JEyZINBCcAADgYJs3b5Y2bdq4bw8dOtT87devn2lToo1ek5OTvbY5efKkzJ0714x54s8ff/whDz74oBw9etQ0xq1fv74Z7O26666LyjEnWJqLQUQ0atQXp7V0kzwJeTmbAJDDpFqXZLUsMBflrGjH4bpOPLOxo+S7IrLrxIUzl+SVZkuz7FhjAZkTAAAcXK2TEzn/GQIAgByFzAkAADZJsxLMEuk+nI7gBAAAm7hmFo50H07n/GcIAAByFDInAADYhGqd0BCcAABgkzTJZZZI9+F0zn+GAAAgRyFzAgCATS5bCWaJdB9OR3ACAIBNaHMSGoITAABsYkVhVmKLEWIBAADsReYEAACbXJYEs0S6D6cjOAEAwCZpVuTDz6dZ4nh0JQYAADGFzAkAADZJi0KD2DQaxOYsI0eOlISEBK+ldOnSQbdZs2aNNGzYUPLnzy9VqlSRSZMm2Xa8AID4kiYJUVmcznGZk1q1asnKlSvdt3Pnzh2w7L59+6RTp07ywAMPyMyZM2X9+vXyyCOPSIkSJeS2226z6YgBAICjg5M8efJkmC1x0SxJhQoVZNy4ceZ2zZo1ZfPmzTJmzBiCEwBA1DFCbJw2iN2zZ4+ULVtWKleuLH369JFffvklYNmNGzdK+/btvdZ16NDBBCiXLl2y4WgBAPHY5iTSxekc9QybNGkiM2bMkGXLlsl7770nR48elebNm8vx48f9ltf7S5Uq5bVOb6empsrvv/8e8HEuXLggp06d8loAAEB0OCo46dixo6mOqVOnjtx0002yePFis/6DDz4IuI02mvVkWZbf9Z5Gjx4tRYoUcS/ly5eP2nMAADiXadBqRbiI8xvEOio48VWoUCETqGhVjz/aNkWzJ56OHTtm2q1ceeWVAfc7fPhwOXnypHtJSUmJ+rEDAJzHikJPHSsOghPHNYj1rX7ZtWuXtGjRwu/9zZo1k0WLFnmtW758uTRq1Ejy5s0bcL/58uUzCwAA4WBW4jjMnAwbNsyMW6JdhL/55hu5/fbbTXuQfv36uTMe99xzj7v8wIED5cCBAzJ06FATxEydOlWmTJli9gMAALKHozInBw8elDvuuMM0ZtWxSpo2bSpff/21VKxY0dx/5MgRSU5OdpfXHj1LliyRJ554QiZMmGB6+bz11lt0IwYAZAlGiI3D4GT27NlB758+fXq6da1atZJvv/02C48KAID/olonDqt1AABAzueozAkAALEsGnPjpNFbBwAARAvVOqGhWgcAAMQUqnUAALAJmZPQkDkBAMAmEQ9db/13CcfatWula9euZrgMnZrl888/D1p+9erVppzv8uOPP3qVmzt3rlxzzTVmUFL9O3/+fIkWghMAABzs7NmzUrduXRk/fnxY2+3evduMD+ZaqlWr5r5v48aN0rt3b+nbt69s377d/O3Vq5cZADUaqNYBAMDB1TodO3Y0S7hKliwpRYsW9XvfuHHjpF27dmbkdaV/dYR2XT9r1iyJFJkTAABsovPeRz7xnz3q168vZcqUkbZt28qqVau87tPMSfv27b3WdejQQTZs2BCVxyZzAgBADsycnDp1KksmpdWAZPLkydKwYUMzge6HH35oAhRti9KyZUtT5ujRo1KqVCmv7fS2ro8GghMAAHKg8uXLe90eMWKEjBw5MuL9Vq9e3SwuzZo1k5SUFBkzZow7OFHaSNaTZVnp1mUWwQkAADkwc5KSkiJJSUnu9dHImgSiE+nOnDnTfbt06dLpsiTHjh1Ll03JLNqcAACQA7sSJyUleS1ZGZxs3brVVPd4ZlNWrFjhVWb58uXSvHnzqDwemRMAABzszJkzsnfvXvftffv2ybZt26R48eJSoUIF09Pm0KFDMmPGDHO/9ripVKmS1KpVSy5evGgyJjqmiS4uQ4YMMVU8r776qnTr1k0WLFggK1eulHXr1kXlmAlOAABwcFfizZs3S5s2bdy3hw4dav7269dPpk+fbsYwSU5Odt+vAcmwYcNMwFKgQAETpCxevFg6derkLqMZktmzZ8vzzz8vL7zwglStWlXmzJkjTZo0kWhIsLQFCyKiLaaLFCkiraWb5EnIy9kEgBwm1bokq2WBnDx50qsdR7SvE9cvGCx5CkVW/ZJ69oKs7zY+y441FtDmBAAAxBSqdQAAsIlrILVI9+F0BCcAANiEWYlDQ7UOAACIKWROAACwiWUlmCXSfTgdwQkAADahWic0BCcAANiEzEloaHMCAABiCpkTAABszJxEOkKsRZsTAAAQLToke6TjslvifFTrAACAmEK1DgAANtHRXfW/SPfhdAQnAADYhN46oaFaBwAAxBQyJwAA2ER76iRE2Nsmjd46AAAgWrSnTsS9dSxxPKp1AABATKFaBwAAm9AgNjQEJwAA2ITgJA6rdUaPHi2NGzeWwoULS8mSJaV79+6ye/fuoNusXr1aEhIS0i0//vijbccNAIivWYkjXZzOUcHJmjVrZNCgQfL111/LihUrJDU1Vdq3by9nz57NcFsNYo4cOeJeqlWrZssxAwAAB1frfPHFF163p02bZjIoW7ZskZYtWwbdVssVLVo0i48QABDP6K0Th5kTXydPnjR/ixcvnmHZ+vXrS5kyZaRt27ayatUqG44OABCfwUlChIs4nqMyJ54sy5KhQ4fKDTfcILVr1w5YTgOSyZMnS8OGDeXChQvy4YcfmgBF26IEyrZoOV1cTp06lSXPAQCAeOTY4GTw4MHy3Xffybp164KWq169ullcmjVrJikpKTJmzJiAwYk2vB01alTUjxkA4Gz01onjap1HH31UFi5caKpnypUrF/b2TZs2lT179gS8f/jw4abKyLVoMAMAQEasKC1Ol8dpVTkamMyfP99Uy1SuXDlT+9m6daup7gkkX758ZgEAANHnqOBEuxF//PHHsmDBAjPWydGjR836IkWKSIECBdxZj0OHDsmMGTPM7XHjxkmlSpWkVq1acvHiRZk5c6bMnTvXLAAARBPVOnEYnEycONH8bd26dbouxf379zf/1jFMkpOT3fdpQDJs2DATsGgAo0HK4sWLpVOnTjYfPQDA8aJRL2OJ4zmuWicj06dP97r91FNPmQUAgCz3v+7Ake7D6RzZIBYAAORcjsqcAAAQyxghNjQEJwAA2IQGsaGhWgcAAAdbu3atdO3aVcqWLSsJCQny+eefBy0/b948adeunZQoUUKSkpLM4KTLli1L135T9+W7nD9/Xk6cOCH//ve/ZdOmTebfmUFwAgCAXbQxazSWMJw9e1bq1q0r48ePDzmY0eBkyZIlZuLcNm3amOBGxwDzpIGL9oB1LRqQ3HrrrXLVVVeZwUybNGli/q29Xw8cOBDOIVOtAwCAk9ucdOzY0Syh0vG/PL388stm/LBFixaZSXJdNFNSunRp8+9ff/1VunfvLrlz5zbla9asaXrQ7t692wRFzZs3l2+//VZKlSoV0jHQ5gQAgBzolM+ks1k1enlaWpqcPn1aihcv7rX+zJkzUrFiRbl8+bLkzZtXChYsaOa0cw166vLYY49J48aN5e9//7u8/fbbIT0m1ToAAOTAyXXKly9vRkB3LTopbVZ4/fXXTdVQr1693Otq1Khh2p3oPHazZs2SY8eOmQFODx48mG77/Pnzy4svvmiqiUJF5gRwkFz582dcKHfuEHYU4u+WtLSMy1y+nPFuzp8P7fGAHC6avXVSUlJMuw+XrMiaaOAxcuRIU61TsmRJ93ptU6KLZ3alSpUqJjPy1ltvpdtPnTp1zEjsoSI4AQAgB0pKSvIKTqJtzpw5MmDAAPn000/lpptuClpWe/bUrl1b9uzZ4/f+S5cuhdzeRFGtAwCAnaJQpZPVNGOic9LpZLqdO3fOsHzDhg3lm2++kTJlyvi9/4svvjA9hkJF5gQAAAcPwnbmzBnZu3ev+/a+fftk27ZtpoFrhQoVZPjw4abKZcaMGe7A5J577pE333zTVN0cPXrUrNeGrtq2RY0aNcrcV61aNdMw98KFC6aa6e677073+Hr/e++9F3JXZkVwAgCAg2cl3rx5sxmrxGXo0KHmb79+/UyjVh2jRBuzurz77ruSmpoqgwYNMouLq7z6448/5MEHHzSBiwYs2sV4w4YNZsA2X1r19MMPP4R1zAlWKFP5IiiNCvXFaS3dJE9CXs4Wsg0NYoHMSbUuyWpZICdPnsySdhyu60T5SSMkV4EQGq4HkXbuvKQMHJVlxxqJlStXmkBEx0DRHj06mFtmkDkBAMA2WiUTWbWORLx99GkX4m7dusmOHTtMVZHmPbSaRxvJak8f7fYcDhrEAgCQA8c5iSWPPvqoFC5c2LRn0fYtP//8s+zfv9+sGzx4cNj7I3MCAAAi8q9//UvWrFkjf/nLX9zrdKJBbVTbokWLsPdHcAI4qD1JQv6MB2FK8Bla2q98iaEd1IWLGRaxzp2LSgqXgdrgCNnQINYOuXLlMmOZ+NJ1el/Y+4vScQEAgBicldgOOrGg9uzx7JWza9cuefjhh+Xmm2+2J3Oik/xodyJN4+h4+jpsracvv/wyM7sFAAA5kA5Z36dPH9MAVnslaW8d7W7cunXrkCf7izg4GTJkiAlOdNQ4PRA9CAAAEJwO3hHpAB5WDFbr6PD1mrDYunWryZ5ob52aNWuakWMzI1PByezZs+WTTz6RTp06ZepBAQCISw5tc+Kig7HpEqlMBSeJiYly9dVXR/zgAAAg5xs1alTQ+0eMGJH1wcmTTz5pugfpOPlU6QAAEKJoNGi1Yq8phQ605ttLR8c50RihatWq9gQn69atk1WrVsnSpUulVq1akjev95Dt8+bNy8xuAQBwtATrv0uk+4g13377bbp1f/75p9x777329dYpWrSo9OjRIzObAgAQvxze5sRTwYIFTXVPhw4dTJCS5cHJtGnTMrMZgEjkzh2VAdYuVS6VYZnTFUMYqE1ECh/IeIC1vPt+zbCMdSk1pMcDkLPoMPb/+c9/wt6OEWIBALCLQ9uc3OuTGdGuxL/++qtpAjJgwICsC04aNGhg+jAXK1bMdBMK1hDWX90TAABxz6HVOidPnkzXIPann36SNm3aZO0gbDoVcr58/523o3v37mE/EAAAcKZ5ATrCPP744zJmzBh56qmnsiY48ewGFG6XIAAAEF8NYpXOt9OyZcusC04COXPmTLq5dZKSkiLdLQAAzhNnwcn69evTxQhZFpzs27dPBg8eLKtXr5bz5897NYDRtig6MSAAAIgPN954o4kBfBvE7t69W/7+97/bE5zcdddd5u/UqVOlVKlSjBILAEAc99apV6+e1+1cuXJJyZIlzazE1113nT3ByXfffSdbtmyR6tWrZ2ZzAADiklNHiB07dmxU95ep4KRx48aSkpJCcALYKVeujMvkS4zKAGsbX58U0iE1e3JghmWKH06MznMDEDcy9Y3w/vvvy6uvvioffPCByaBoJsVzyW7vvPOOVK5cWfLnzy8NGzaUr776Kmj5NWvWmHJavkqVKjJpUmhfzAAAZKpBbKRLDMidO7epvgllsSVz8ttvv5khaT1HhNOGsLHQIHbOnDmmX7UGKNdff728++670rFjR/nhhx+kQoUKfhv3durUSR544AGZOXOmaVn8yCOPSIkSJeS2227LlucAAECsmz9/vvvfhw8fNsOM9OzZU5o2bWrWff311/LJJ5/Iiy++aE9wct9995lRYmfNmhVzDWK13kuHyr3//vvN7XHjxsmyZctk4sSJMnr06HTlNUuiQYuWUzVr1pTNmzebQWMITgAA0aRXy4jbnEhsuOWWW9z/1sn9XnnlFa+kxd13321qJT799FMZODDjKuCIg5MDBw7IwoUL5eqrr5ZYcvHiRVPN9Mwzz3itb9++vWzYsMHvNhs3bjT3e9KTPGXKFDP8bt68edNtc+HCBbO4nDp1KmrPAQCAnEabT4wfPz7d+hYtWpiB2Gxpc6L9mbdv3y6x5vfffzdVSprN8aS3jx496ncbXe+vfGpqqtmfP5qBKVKkiHspX758FJ8FAMDxXYkjXWJM6dKlTdMIXzNmzDD3hStTmZOuXbvKE088ITt27JA6deqkyy54pnqyg281k6stTDjl/a13GT58uAwdOtQrc0KAAgCI1xFiX331VbnzzjtlxYoV7jYnWjOhzSS0CYgtwYmr7shfI5fsbBB71VVXmdbDvlmSY8eOpcuOuGhE5698njx55Morr/S7jU6A6JoEEQCAeNezZ0+TrNCqHe21qz/ytb3J9OnTMzXsSKaCk8yMk2+HxMREczI0cuvRo4d7vd7WWZX9adasmSxatMhr3fLly6VRo0Z+25sAAJBpDs2cqBo1avhtd5IZEU/8F2u0uqVv374muNDAY/LkyZKcnOzO9miVzKFDh0w9mNL1ejJ1O+1OrGkobQybmTQUkKVC+VFw4WKGRQofOBeVwdVC3VcoxxTScwMcwKkjxCqtNdGaB+2c4jn0iA5f/8svv5ialYoVK0qWBSePPfaY6amjfz3pRX7v3r3ubrnZoXfv3nL8+HFT5XTkyBGpXbu2LFmyxH1CdJ0GKy46WJver21oJkyYIGXLlpW33nqLbsQAAIRI59p79NFH5dy59D9YNCipWrWqqeoJteYlU7115s6dawY489W8eXP57LPPJLvpIGr79+833X21a3HLli3d92n9l86m7KlVq1by7bffmvI6KFu4/bEBAIjVEWLXrl1rOrLoj28NFD7//PMMtwll5HSNBa655hrTBlOvm9qcQq+527Ztcy9ffvmlCUq2bt1qbocqU8GJZia0C62vpKSkgN1vAQCIe9kQnJw9e1bq1q0bcnsQ18jpOkaJBhXPPvusqSnRYMRFm0BoTYU2o9ChRbRKZ/bs2aZK59prr3UvGrwo1+1QZapaR6t0vvjiCxk8eLDX+qVLl5oICwAAxIaOHTuaJVShjJyu97Vr186043TVQOgcOrres82mdlRp3bp12MecqeBEG49qYKINXXRANvWvf/1LXn/99WxtbwIAQCzLCQ1iN4YwcrqW0baaLlp988Ybb5gY4PTp02Zd4cKFpWjRouY+2+bW0fYZ//jHP+Sll14y6ypVqmTmr7nnnnsys0sAAJwvGiO8Wgl+p06J1hhcGY2cXqZMmXRlXO1KtMOJq9mHtnF58sknzWS84c7BF3Zwogf30UcfmYYvDz/8sMmeFChQQK644opwdwUAQHyJ4jgn5X2mTtFZgUeOHCnREMrI6Z7/1mSFtknRgVC104mW1znttOesZlL+9re/ZW1woiOnalCya9cuc7tEiRLh7gIAAEQoJSXFdERxidbI5aGMnO5bRscUu/32201gcsMNN5h12qBW26FqU5Bwg5NM9dZp0qSJSd8AAIDw25xEuigNTDyXaAUnOoCpjqwebOR03zIavGgvHx1SxFO9evVMDYstbU50HBGtRzp48KDpB12oUCGv+8PpLgQgRCHMWWX5GQDJV959v2ZYpvjhxNCOKYTRX0M5plCeG+AI2TB8/ZkzZ8wAqS4aROiYI8WLFze9cjIzcvqQIUPMGGI64Z9OD6MZlXXr1pmynnQ77e1jS3CifZuV7wix2T3xHwAA8KbdgNu0aeO+rUGH6tevnxmYNDMjp2uGRMc1ef755+WFF14w1Txa7aNxgd6nscD69etNELRw4UKxJTjRqAsAAIQpCl2JJcztdZwRV4NWfzRA8eUaOT0YbWOii8vPP/8sb775puzcudM8ns6p8/HHH5uh620JTlzz1Pzwww8m2vKc5CeciX0AAIgrDp6VuGrVqibDEg2ZCk50dkHtSrxjxw4TjPh2MaJaBwCA+HHgwIGg94ebtMhUcKINYbROauXKlaab0DfffCP/+c9/TCNZHd4WAADET+akSpUqJlHhmbDwFOpsxBEFJ9oaV4ej1TFOdCx9HXRF+zWPHj3aNIahmzEAADlz+PrM8L3u6zD3Wrvyz3/+U/7+97+Hvb9MBSdabeMaEfaqq66Sw4cPS/Xq1U3aZvfu3ZnZJQAAyKGu9TOEiA41or14XnvtNdMUJMuDk9q1a8t3331n0jg6IJs+sM48qCPEMSsxAABQV199tWn6Ea5MBSfar/ns2bPm35qu6dKlixmmVgdhmTNnTmZ2CSADaefPR2XIZ+tSasaFcoU4eHQo9cghjHsUynMDHMGhbU5OnjzpdVvbnej4KTrfT7Vq1ewJTnTqZBfNlGiXYm0QW6xYsbBnHgQAIF44tc1J8eLF0zWEdQ0tomOd2BKcBDowAAAQf1atWuV1WzvLlCxZ0lTr6L+zLTgBAAAhiMHMR6R0np1oIjgBAMAuDm1zEm3h51oAAACyEJkTAABs4tQGsdFGcAIAgF2o1gkJ1ToAACBTk/35m0fHd7qbAQMGhL1vMieAgzCYGRDbnFStU7lyZTl48KCULVvWa72OezZjxgx5//335aeffvIaGy1UZE4AALC7WifSJQaUL19eXn/9dTl37py5vXLlSrnjjjvkL3/5i7z33nvSv39/SUlJkUWLFoW9bzInAAAgbB988IHce++9MnXqVClatKgZrr5fv36yevVqM+9eJMicAABgFwdlTlq3bi0///yzTJ8+XerUqSNpaWmmjcn69evl2LFjEe2b4AQAAJvbnES6xAodmr5bt26ycOFCSU5OlrvuuksmT55sqnxuvfVWs/5yCJN/pttvlhwtAABwdObEV+nSpeXpp5+WH3/80cy1o5MB33333VKuXDkJF8EJAACIqubNm8uUKVPk6NGjMnr06LC3p0EsAAB2ibNB2AoWLGh67YSL4AQAAJs4aZyTrES1DgAAiCmOCU72799vhsjVEesKFCggVatWlREjRsjFixeDbqfppoSEBK+ladOmth03ACCOOLhBbDQ5plpHWwdrH+t3331Xrr76atm5c6c88MADcvbsWRkzZkzQbW+++WaZNm2a+3ZiYqINRwwAiDdU68RZcKIBhi4uVapUkd27d8vEiRMzDE7y5ctnukABAIDs55hqHX9OnjwpxYsXz7CcDrVbsmRJ+etf/2qyLRmNbHfhwgU5deqU1wIAQIao1onv4ESH1H377bdl4MCBQct17NhRPvroI/nyyy/NBEabNm2SG2+80QQggWif7SJFirgXHQkPAIAMEZw4IzgZOXJkugarvsvmzZu9tjl8+LCp4unZs6fcf//9Qfffu3dv6dy5s9SuXVu6du0qS5cuNVM8L168OOA2w4cPN1kZ16KzLgIAgDhpczJ48GDp06dP0DKVKlXyCkzatGkjzZo1M+P7h6tMmTJSsWJF2bNnT9A2KroAABCOhP8tkUiIg1Me88HJVVddZZZQHDp0yAQmDRs2NL1vdEKicB0/ftxkQjRIAQAgquJshFjHVuuESjMmOn2ztv/Q3jm//fabGdNfF081atSQ+fPnm3+fOXNGhg0bZqZ41nFStGGsVu1oMNSjR49seiYAAKfKrlmJ33nnHTMOWP78+c0P+K+++iqs8b90qVWrlrvM9OnT/ZY5f/68xEXmJFTLly+XvXv3msV3BkTL+v+vpHYv1nYiKnfu3LJjxw6ZMWOG/PHHHyZbopmXOXPmSOHChW1/DgAARJte0x5//HEToFx//fVmPDDtDPLDDz9IhQoV0pV/88035ZVXXnHfTk1Nlbp165p2nJ6SkpLMNdWTBj/R4JjgRCO9UCYX8gxUdCTZZcuWZfGRAQCQfdU6Y8eONSOouzqIjBs3zlz7dBwwfzMGu3qiunz++edy4sQJuffee73KaaYkq8YIc0y1DgAAOUKUhq4/5TPelr8hMHQKly1btkj79u291uvtDRs2hHS4U6ZMkZtuusl0FvGkTSN0ndZWdOnSRbZu3SrRQnACAEAOVL58ea8xt/xlQX7//Xe5fPmylCpVymu93vZtk+nPkSNHzBAbvsNyaPtNbXeycOFCmTVrlqnO0SqjYD1d47JaBwCAeJpbJyUlxbT7cAk2xIVWwfg2cfBd548GIEWLFpXu3bt7rdcJcj0nydXApEGDBmbw07feeksiRXACAEAObHOSlJTkFZz4o71PtfOHb5ZEp2nxzaakexjLkqlTp0rfvn0znBBXh+5o3Lhx1DInVOsAAOBQiYmJpuvwihUrvNbr7ebNmwfdds2aNaYHrDamzYgGMtu2bYvaGGFkTgAAyIHVOqEaOnSoyX40atTIPXp6cnKye+45nZJFBzHVYTV8G8I2adLETO/ia9SoUaZap1q1aqYxrlblaHAyYcIEiQaCEwAAHNyVuHfv3mb08xdffNE0cNVgY8mSJe7eN7pOgxVPOh7Y3LlzzZgn/ujYYA8++KCpLtLGuPXr15e1a9fKddddJ9GQYHkO/IFM0ahRX5zW0k3yJOTlLAJADpNqXZLVssBclDNqxxHJdaLOgJcld2JkA5Vdvnhedkx5NsuONRaQOQEAwMHVOjkRwQkAAHZh4r+QEJwAAGAXgpOQ0JUYAADEFDInAADYhDYnoSE4AQDALlTrhIRqHQAAEFPInAAAYJMEnXAvwuHFEuJgeDKCEwAA7EK1Tkio1gEAADGFzAkAADaht05oCE4AALAL1TohoVoHAADEFDInAADYhGqd0BCcAABgF6p1QkJwAgCATcichIY2JwAAIKaQOQEAwC5U64SE4AQAAJurdhAc1ToAACCmkDkBAMAuOmlfpBP3Wc5PvRCcAABgE3rrhIZqHQAAEFPInAAAYBd664SE4AQAAJskpP13iXQfTke1DgAAiClkTgAAsAvVOvGXOalUqZIkJCR4Lc8880zQbSzLkpEjR0rZsmWlQIEC0rp1a/n+++9tO2YAQPz11ol0cTpHBSfqxRdflCNHjriX559/Pmj51157TcaOHSvjx4+XTZs2SenSpaVdu3Zy+vRp244ZABBn45xEujic44KTwoULmwDDtVxxxRVBsybjxo2T5557Tm699VapXbu2fPDBB/Lnn3/Kxx9/bOtxAwAAhwYnr776qlx55ZVSr149+cc//iEXL14MWHbfvn1y9OhRad++vXtdvnz5pFWrVrJhw4aA2124cEFOnTrltQAAkBGqdeKwQeyQIUOkQYMGUqxYMfn3v/8tw4cPNwHI+++/77e8BiaqVKlSXuv19oEDBwI+zujRo2XUqFFRPnoAgOPRINYZmRNtrOrbyNV32bx5syn7xBNPmKzHtddeK/fff79MmjRJpkyZIsePHw/6GLoP3+oe33WeNOg5efKke0lJSYnSswUAIPreeecdqVy5suTPn18aNmwoX331VcCyq1ev9nut/fHHH73KzZ07V6655hpT46B/58+fHz+Zk8GDB0ufPn0y7KXjT9OmTc3fvXv3mqoeX9omxZVBKVOmjHv9sWPH0mVTPOkLoQsAALE+t86cOXPk8ccfNwHK9ddfL++++6507NhRfvjhB6lQoULA7Xbv3i1JSUnu2yVKlHD/e+PGjdK7d2956aWXpEePHiYw6dWrl6xbt06aNGkijg9OrrrqKrNkxtatW81fz8DDk0aRGqCsWLFC6tevb9ZpG5U1a9aYtisAAOT0WYnHjh0rAwYMMDUKSjuCLFu2TCZOnGiaKQRSsmRJKVq0qN/7dB/as1VrEpT+1Wunrp81a5Y4vlonVBrFvfHGG7Jt2zbTzuSTTz6Rhx56SG655RavyLBGjRru1JOmqTSafPnll826nTt3Sv/+/aVgwYJy5513ZuOzAQAgcvqDe8uWLV4dP5TeDtbxQ+mPdv1x37ZtW1m1alW6a67vPjt06JDhPh2TOQmVVrNo6kobqmpvmooVK8oDDzwgTz31VLo0lbYTcdH7z507J4888oicOHHCpKOWL19uuiQDABCr1TqnfHqK+mty8Pvvv8vly5f9dvxwdQrxpQHJ5MmTTdsUvZ5++OGHJkDRtigtW7Y0ZXTbcPYZt8GJ9tL5+uuvMyynjV09afZEG93qAgBATumtU758ea/VI0aMCHgtC6fjR/Xq1c3i0qxZM9PxY8yYMe7gJNx9xm1wAgBAPElJSfFqsOqvo4a22cydO3e6jEZGHT/8dTCZOXOm+7a214x0n3HR5gQAgHgahC0pKclr8RecJCYmmuoZ7fjhSW83b948rA4mnp1LNJviu09tEhHOPoMhcwIAgF3SrP8uke4jDEOHDpW+fftKo0aNTFCh7UmSk5Nl4MCB7p42hw4dkhkzZpjb2uNGh+ioVauWaVCrGRMd00QXz0FPtYpHe7Z269ZNFixYICtXrjRdiaOB4AQAAAePENu7d28zGKlrYlydR27JkiWm44jSdRqsuGhAMmzYMBOwFChQwAQpixcvlk6dOrnLaIZk9uzZZnLdF154QapWrWo6pURjjBOVYPm2EEXYtMV0kSJFpLV0kzwJeTmDAJDDpFqXZLUsML05PdtxRPs60fymUZInb/6I9pV66bxsWDkiy441FpA5AQDAJtqXJeKuxOJ8BCcAADh4hNiciN46AAAgppA5AQDAwRP/5UQEJwAAOLi3Tk5EtQ4AAIgpZE4AALBJgs4/E2GD1oQ4aBBLcAIAgF3S/rdEug+Ho1oHAADEFDInAADYhGqd0BCcAABgF3rrhITgBAAAuzBCbEhocwIAAGIKmRMAAGzCCLGhITgBAMAuVOuEhGodAAAQU8icAABgk4S0/y6R7sPpCE4AALAL1TohoVoHAADEFDInAADYhUHYQkJwAgCATRi+PjRU6wAAgJhC5gQAALvQIDYkBCcAANjZ5iQtCvtwOIITAABsQpuT0NDmBAAAxBQyJwAA2NqVOMJ6GUscj+AEAAC70CA2JFTrAACAmELmBAAAu2hPnYQo7MPhHJM5Wb16tSQkJPhdNm3aFHC7/v37pyvftGlTW48dABBfvXUiXZzOMZmT5s2by5EjR7zWvfDCC7Jy5Upp1KhR0G1vvvlmmTZtmvt2YmJilh0nAACIk+BEA4rSpUu7b1+6dEkWLlwogwcPNtmQYPLly+e1LQAAWYIGsfFVreNLA5Pff//dVNuEUiVUsmRJ+etf/yoPPPCAHDt2zJZjBADEaXAS6RKmd955RypXriz58+eXhg0byldffRWw7Lx586Rdu3ZSokQJSUpKkmbNmsmyZcu8ykyfPt1vM4rz589LNDg2OJkyZYp06NBBypcvH7Rcx44d5aOPPpIvv/xSXn/9ddM+5cYbb5QLFy4E3EbvO3XqlNcCAEAsmjNnjjz++OPy3HPPydatW6VFixbm2pecnOy3/Nq1a01wsmTJEtmyZYu0adNGunbtarb1pIGLNqfwXDT4iYvgZOTIkQEburqWzZs3e21z8OBBE+UNGDAgw/337t1bOnfuLLVr1zYnf+nSpfLTTz/J4sWLA24zevRoKVKkiHvJKAACACC7Midjx44118P7779fatasKePGjTPXrYkTJ/otr/c/9dRT0rhxY6lWrZq8/PLL5u+iRYu8yun1V5tEeC5x0+ZE24z06dMnaJlKlSp53dbGrVdeeaXccsstYT9emTJlpGLFirJnz56AZYYPHy5Dhw5139bMCQEKAMDOrsSnfLL22n5SF08XL1402Y9nnnnGa3379u1lw4YNoT1cWpqcPn1aihcv7rX+zJkz5np5+fJlqVevnrz00ktSv359iYvg5KqrrjJLqCzLMsHJPffcI3nz5g378Y4fPy4pKSkmSAnE3xsAAAA7J/4r75O1HzFihKlt8KRtLzV4KFWqlNd6vX306NGQHk+bPJw9e1Z69erlXlejRg3T7qROnTomSHrzzTfl+uuvl+3bt5ssi+ODk3Bp25F9+/YFrNLRE6rVMj169DBRn76Qt912mwlG9u/fL88++6wJhvR+AABiVUpKimn34RLsR7Nvr1X9IZ9RT1Y1a9Ysc51csGCB6TjiouOBeY4JpoFJgwYN5O2335a33npLIpXHiQ1hdcwTrVfzZ/fu3XLy5Enz79y5c8uOHTtkxowZ8scff5gARRv+aOOhwoUL23zkAADHi2JX4qSkJK/gxB/9sa3XOt8sifZK9c2m+NJrof7Q//TTT+Wmm24KWjZXrlymjUqwJhFxHZx8/PHHQe/XaNGlQIEC6bpHAQCQZdIsrZeJfB9hjAGmXYdXrFjhVSOgt7t16xY0Y3LfffeZv9ppJCN6bd22bZup5okGxwUnAADg/9MOHH379jWjpeuYJZMnTzbdiAcOHOju5HHo0CFTi6A0INF2m9qORKtuXFkX/UGvPVTVqFGjzH3avkTbnGhVjgYnEyZMkGggOAEAwMEjxPbu3dt09njxxRfNWCQ6dIaOYaI9bZSu8xzz5N1335XU1FQZNGiQWVz69etnGsEqbQrx4IMPmsBFAxbtpaPjo1x33XUSDQmWZz0HMkWjRn1xWks3yZMQfg8hAED2SrUuyWpZYNokZtSOI5LrxE1VHpM8uSLr7ZmadkFW/vJWlh1rLIj5QdgAAEB8oVoHAAC7MPFfSAhOAACwi+lpY19vnZyKah0AABBTyJwAAGAXK+2/S6T7cDiCEwAA7EKbk5AQnAAAYBfanISENicAACCmkDkBAMAuVOuEhOAEAAC7mJ7EkQ5fL45HtQ4AAIgpZE4AALAL1TohITgBAMAuaTpGSVoU9uFsVOsAAICYQuYEAAC7UK0TEoITAADsQnASEqp1AABATCFzAgCAXRi+PiQEJwAA2MSy0swS6T6cjuAEAAA725yY7EmE+3A42pwAAICYQuYEAAC7mKwHmZOMEJwAAGAXHd01IcI2I5bz25xQrQMAAGIKmRMAAOxCtU5ICE4AALCJlZYmVoTVOhbVOgAAAPYicwIAgF2o1gkJwQkAAHbRAdgS6EqcEXrrAACAmELmBAAAW6t1Ih3nxBKnIzgBAMAmVpolVoTVOlYcBCc5plrnH//4hzRv3lwKFiwoRYsW9VsmOTlZunbtKoUKFZKrrrpKHnvsMbl48WLQ/V64cEEeffRRU163u+WWW+TgwYNZ9CwAAHFNuwFHYwnTO++8I5UrV5b8+fNLw4YN5auvvgpafs2aNaaclq9SpYpMmjQpXZm5c+fKNddcI/ny5TN/58+fL3EXnGiQ0bNnT3n44Yf93n/58mXp3LmznD17VtatWyezZ882J+7JJ58Mut/HH3/cnFAtr9udOXNGunTpYvYHAEBON2fOHHOte+6552Tr1q3SokUL6dixo/lB78++ffukU6dOppyWf/bZZ82Pfb2mumzcuFF69+4tffv2le3bt5u/vXr1km+++SYqx5xg5bD80PTp081J/uOPP7zWL1261AQVKSkpUrZsWbNOA47+/fvLsWPHJCkpKd2+Tp48KSVKlJAPP/zQnGR1+PBhKV++vCxZskQ6dOgQ0jGdOnVKihQpIq2lm+RJyBuV5wkAsE+qdUlWywJzXfB3vYiU+zqR0CPi60SqHqs1P+RjbdKkiTRo0EAmTpzoXlezZk3p3r27jB49Ol35p59+WhYuXCi7du1yrxs4cKAJQjQoUXrN1Oek116Xm2++WYoVKyazZs2SuMmcZERPWO3atd2BidLgQqtttmzZ4ncbXX/p0iVp3769e51ur/vZsGGDLccNAIgjNlfrXLx40VzrPK9zSm8Hus7p9dS3vF5PN2/ebK6ZwcpE69rpmAaxR48elVKlSnmt0wguMTHR3BdoG71fy3nS/QTaRmnAo4uLRq8qVS5FPBM2AMB+5vvbhsam0bhOpP7vWDVz4Unbfuji6ffffzfNFHyvj8Guc/6up3o7NTXV7K9MmTIBywS7duaY4GTkyJEyatSooGU2bdokjRo1Cml/CQkJ6dbpG83f+mAy2kbTYP6Oe50sCetxAACx5fjx46b6Jdr0h3Dp0qVl3dHoXCeuuOIK0wTB04gRI8x11R/fa1pG1zl/5X3Xh7vPHBOcDB48WPr06RO0TKVKlULal77ovg1xTpw4YVJQvtGd5zaa8tJyntkTbaOiPYMCGT58uAwdOtR9W9u/VKxY0TQuyoo3dVbRqFvf3NpOJyvqWLNKTj3unHzsHDfn28nvE1cGvEKFClK8ePEs2b/2etGGphn1IA2V5ScQ8M2aKO2Jmjt37nQZDb3OBbs2+iufJ08eufLKK4OWCbTPHBWc6EnTJRqaNWtmuhsfOXLEpJzU8uXLzYul3aH80fV58+aVFStWmFbGSrffuXOnvPbaawEfy1/qTGlgktM+kEqPmePmnPNeiT18Nu2XK1fWNcXUAEUXOyUmJpprnV7nevTo4V6vt7t16xbwerpo0SKvdXo91VoMvWa6yug+nnjiCa8ywX7YO7JBrGYltm3bZv5q/Zn+Wxft+qu0YY72s9buTNr16V//+pcMGzZMHnjgAfeF99ChQ1KjRg3597//7Q4mBgwYYLoba3nd7u6775Y6derITTfdlK3PFwCAaNBM//vvvy9Tp041PXA0oNBrqfbAcdUG3HPPPe7yuv7AgQNmOy2v202ZMsVcU12GDBligpFXX31VfvzxR/N35cqVpjdtVFg5RL9+/bTCK92yatUqd5kDBw5YnTt3tgoUKGAVL17cGjx4sHX+/Hn3/fv27Uu3zblz50w5La/bdenSxUpOTg7r2E6ePGn2q39zEo6bc857JTbx2eScR9uECROsihUrWomJiVaDBg2sNWvWeF1fW7Vq5VV+9erVVv369U35SpUqWRMnTky3z08//dSqXr26lTdvXqtGjRrW3Llzo3a8OSY4iWUaAI0YMcIrEMoJOG7OOe+V2MRnk3Me73LcIGwAAMDZckybEwAAEB8ITgAAQEwhOAEAADGF4AQAAMQUgpMQ6OBuOrBMwYIFpWjRon7LaJ/xrl27SqFChczAcjq9dEYjAer8PI8++qgpr9vdcsstcvDgQckqq1evNiMK+lt0moBAdGZn3/JNmzYVO+lIwb7H8MwzzwTdRtt661DOOpljgQIFpHXr1vL999/bdsz79+834+hUrlzZPH7VqlXN8NIZvS+y63y/88475lh1kCgdtOmrr74KWn7NmjWmnJavUqWKTJo0Seyk00g0btxYChcuLCVLljQzrO7evTtTnwEdp8Eu+p70fXwdbTOWz3Wgz6AugwYNirlzvXbtWvN9rJ99fczPP/88Kt8Nc+fONeNp6SCc+nf+/PlZ+CziG8FJCPRi0rNnT3n44Yf93q+DwnXu3FnOnj0r69atk9mzZ5s3sQ7uFowOVqNvbi2v2+mAcl26dDH7ywoaYOkIuJ7L/fffb750Mpq/SKfC9txuyRL75xF68cUXvY7h+eefD1peR/kdO3asjB8/3gRfegFo166dnD592pbj1S/htLQ0effdd80X3xtvvGEuKs8++2yG29p9vufMmWPej88995wZjLBFixbSsWNHE3T7o8Nwd+rUyZTT8vqcNCDX971d9IKtF8avv/7ajFSpk5LpYIz6OcyIBjGe57datWpip1q1ank9/o4dOwKWjYVzrfQz5HnMes6VfjfG2rnW90DdunXNZz9a3w06C2/v3r3NQJ/bt283f3Vkcd9pUxAl2d2XOSeZNm2aVaRIkXTrlyxZYuXKlcs6dOiQe92sWbOsfPnyBRyY7Y8//jAD18yePdu9TrfX/XzxxReWHS5evGiVLFnSevHFF4OW0wF6unXrZmUnHTzojTfeCLl8WlqaVbp0aeuVV17xGjtCX79JkyZZ2eW1116zKleuHHPn+7rrrrMGDhzotU4HVXrmmWf8ln/qqafM/Z4eeughq2nTplZ2OXbsmBkM0XNwKV86AKOWOXHihJVddEykunXrhlw+Fs+1GjJkiFW1alXzWYvVc630GObPnx/xd0OvXr2sm2++2Wtdhw4drD59+mTRkcc3MidRoBF17dq1TYrQpUOHDqbaZsuWLX630fU6KaH+0nPR7XU/GzZsEDssXLjQTH+t1QgZ0RStps7/+te/mikBdIInu+nwyDrpVL169UxVW7DqEf21qZNSeZ5fTcW2atXKtvMbaHKxUCYWs/N863nU96PnuVJ6O9C50ve8b3l9z2/evNm8r7Pr3KpQzm/9+vXNHFxt27aVVatWid327NljPu9ajaaTn/7yyy8By8biudb3zMyZM+W+++7LcBba7D7X0fpuCPQ6ZOf3iZMRnESBvtF9Z2LUWY51wiXfWRs9t9H7PWdDVrqfQNtEm86VoB8u32m3fWl6/6OPPpIvv/xSXn/9dZMGvfHGG03wZRedx0Grv/TLTWezHjdunDzyyCMBy7vOoe/rYuf59fXzzz/L22+/7Z7PIlbOtwaoWpUYzrny957X21q1ovuzm/5A1nlAbrjhBhPgB6IXycmTJ5sqkXnz5kn16tXNRVPbKNilSZMmMmPGDFm2bJm899575lxqlevx48dzxLlW2oZDZ2MP9sMmFs51NL8bAr0O2fV94nTZOitxdtLGUKNGjQpaRi8KGbXFcPH368HflNYZycw2mXku2vBWvxw/+eSTDPev9awu+sWv+6lYsaIsXrxYbr311rCONbPH7Tnz5bXXXmuCuttvv92dTQnE91xm5vxGctwuhw8fNu1ItH5e2/lkx/nOSLjnyl95f+vtoAHrd999Z9puBaMXSF1cdGbVlJQUGTNmjLRs2dKGI/1v8Omik4zqMWhj6Q8++MAEWLF+rl0/bPR5eGaLY/FcB5OZ74as+D6Bf3EbnOiXmaZTg9GGoqHQxlS+jaJOnDhhUq6+kbbnNpoa1XKe2RNN34c75XRmnsu0adPMRV17CIVLfxHpxVJT09n1Grh6r+zdu9dvcOLq/aC/avR4Pc9voNckq45bA5M2bdqYL2f9JZld5zsQ7S2WO3fudL8Ag50rPb/+yufJkydosJgVtMebVlHqL/Jy5cqFvb2+l7SKIrtoTz0NUgK9vrF0rpXOVquzz2o2JKed60i+GwK9DpF+n8C/uA1O9AtZl2jQi462gdCW6K43u04lrfWY2v3PH12fN29e0+JdW3wr3X7nzp2mJXlWPheN9jU40Smy9RjCpeln/QXk+cG2+zXQXgsq0DFoXb5+mej51TpvpcGg9vDQbItdx33o0CETmOjrrec8V65c2Xa+A9HqRT0+PVc9evRwr9fb3bp1C/ieX7Rokdc6fc9rlicz76nM0PexBiba403b6Ohrntn3Ulad21BodZ1OS6+9cWL1XHvS97G2h9IeijntXEfy3aCvg27jmcXV1yHcH5MIUXa3yM0JDhw4YG3dutUaNWqUdcUVV5h/63L69Glzf2pqqlW7dm2rbdu21rfffmutXLnSKleunDV48GD3Pg4ePGimlv7mm2/c67R3hJbT8rrdjTfeaFrx6/6ykj6evvQ//PCD3/v1OOfNm2f+rc/xySeftDZs2GDt27fPtMBv1qyZ9Ze//MU6deqUZQd97LFjx5pz/ssvv1hz5syxypYta91yyy0Bj1tpa3xtga/rduzYYd1xxx1WmTJlbDtu7X119dVXm9dVX/8jR464l1g739prTHuPTZkyxbwvHn/8catQoULW/v37zf3aa6dv377u8vo6FCxY0HriiSdMed1Ot//ss88suzz88MPm9dWp3T3P7Z9//uku43vc2uNLe2789NNP1s6dO839+lmI5lTvGdHXV49Zz+HXX39tdenSxSpcuHBMn2uXy5cvWxUqVLCefvrpdPfF0rnWz5Hre1of0/X9od/loX436HPx7K22fv16K3fu3GbbXbt2mb958uQxryGij+AkBNq1U9/gvoteOFz0Td+5c2erQIECVvHixU1got3TXPRC47vNuXPnTDktr9vpl1RycrKV1fSD2Lx584D363Fqt2mlX/Tt27e3SpQoYb4Q9YtJz4cdx+myZcsWq0mTJubLJH/+/OZirt0xz549G/C4XV0GtZx2G9Ru3S1btjRfRHbRY/H3vvH9TRAr53vChAmmy3ZiYqLVoEEDry65egytWrXyKq8X2Pr165vylSpVsiZOnGjZKdC59XwP+B73q6++arq/6vuoWLFi1g033GAtXrzY1uPu3bu3uRDq66tB9q233mp9//33AY85Fs61y7Jly8w53r17d7r7Yulcu7ox+y56jKF+N+hzcZV3+fTTT833j7522r3bzqA23iTo/0LNsgAAAGQ1uhIDAICYQnACAABiCsEJAACIKQQnAAAgphCcAACAmEJwAgAAYgrBCQAAiCkEJwCyhE6QWK9ePc4ugLAxCBuALHHmzBkzb0x2TE4HIGcjOAHinM6enR0TyAFAIFTrAA7zxRdfyA033CBFixY1WYsuXbrIzz//bO7bv3+/JCQkyCeffCKtW7eW/Pnzu6ewnzp1qtSqVcvMpq0zxw4ePNi9T93m3XffNfsqWLCg1KxZUzZu3Ch79+41+ylUqJCZtdX1OP6qdfr37y/du3eXMWPGmP3rsQ0aNMgERwDgieAEcJizZ8/K0KFDZdOmTfKvf/1LcuXKJT169JC0tDR3maeffloee+wx2bVrl3To0EEmTpxoAoUHH3xQduzYIQsXLpSrr77aa78vvfSS3HPPPbJt2zapUaOG3HnnnfLQQw/J8OHDZfPmzaaMZ0Djz6pVq0wAo38/+OADmT59ulkAwEt2zzwIIGsdO3bMzMiqs666ZsceN26cVxmdHfe5554LuA/d5vnnn3ff3rhxo1k3ZcoU97pZs2aZGWhddNbXunXrum/rDK8663Fqaqp7Xc+ePc0svQDgicwJ4DCamdCsRpUqVSQpKUkqV65s1icnJ7vLNGrUyP3vY8eOyeHDh6Vt27ZB93vttde6/12qVCnzt06dOl7rzp8/L6dOnQq4D602yp07t/u2Vu/o4wOApzxetwDkeF27dpXy5cvLe++9J2XLljXVObVr15aLFy+6y2gbEZcCBQqEtF/PRrPaBiXQOs/qo2D7cG0TrDyA+ETmBHCQ48ePm3Ykzz//vMmEaMPVEydOBN2mcOHCUqlSJdM+BQBiAZkTwEGKFStmesFMnjzZVJloVc4zzzyT4Xbas2bgwIFSsmRJ6dixo5w+fVrWr18vjz76qC3HDQCeyJwADqI9c2bPni1btmwxVTlPPPGE/POf/8xwu379+sm4cePknXfeMe1CtMvwnj17bDlmAPDFIGwAACCmkDkBAAAxheAEAADEFIITAAAQUwhOAABATCE4AQAAMYXgBAAAxBSCEwAAEFMITgAAQEwhOAEAADGF4AQAAMQUghMAABBTCE4AAIDEkv8H1Wi92ayWp5cAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "width = 10\n", "y_map = deepszsim.make_sz_cluster.generate_y_submap(M200, z, load_vars_dict=d, R200_Mpc=R200)\n", "deepszsim.visualization.plot_graphs(y_map,'$M_{200}$='+'{:.2E}'.format(Decimal(M200))+', z='+str(z)+', Compton y map',\n", " 'arcmin', 'arcmin', 'Compton y', width=10)\n", "print(f'y_max = {y_map.max()}, y_min = {y_map.min()}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we plot the temperature map, using the $f_{sz}$ equation again: $$ \\frac{\\mathrm{dT}_{tsz} (\\theta)}{\\mathrm{T}_{CMB}} = f_{sz} y(\\theta)$$" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dT_map = (y_map * d[\"cosmo\"].Tcmb0 * fSZ).to(u.uK).value\n", "deepszsim.visualization.plot_graphs(dT_map, '$M_{200}$='+'{:.2E}'.format(Decimal(M200))+', z='+str(z)+', dT map',\n", " 'arcmin', 'arcmin', '$\\mu$K', width=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### CMB submap generation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is an example of what a generated CMB map will look like. We use the function `get_cls` in the `simtools` file to generate a power spectrum, which we then use to create the CMB map using `make_cmb_map`. This is just an example CMB map; it doesn't carry forward to the cells below. " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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dOVr4tBJFVbt2bfVj3G2BiWuCkpD8NRUc/epqL4q6Dc/XwjOxRk62xjOcdqAe5KOk2A/k8WqP35P6y+yylsebXkFfJiNdWyaQqd9PXpXoOVQKk11FfxnlVNH/8siuop9yPbeKvrUxUCVPW6ZCFf18L3UzT2jLNKn4k75M+lFtmUZJP2jL1PP9/0yzsVTz6p97JY/+9Uoy9NeqVLapn98lK6j/oD4a0F+Le/Oq6cvkVteW2XW6prbMnlP62Xj/eyJDWybnuP5LJeln/WuW/JP+/ZNyXP/+ST0eFJTR/9r3/fz/M2TH4sk6rS1jnjqjL3NGXyaYa30d+s08+tj8F2Vk6F+z4uAaEg5I9m5qRJkZ8dXEZJ0MUsNWe9Q+JUEJz7HEg0B4Pi3+wc3zQg0aNEhNZhqqFeLvPf6xPXv2bDp+/LiaP4pnG+d5mpzkmqAkNM176ISHHD16tEBNSP7t8teK6LbhZqH8E54xDkh8hkVQIvig9xiCoMQjKaP/ADe8+jKmT3/B+5L0l5E/Wf8m9KboP1Q9qfoPVTNNf5696foPXl8F/flJrmjxev9Parr+/KQn64+5ok9/DjO8+jKZgqrpJMO+6utkU78vM6h/XU8H9PtJz9Ofx9Qc/WuWLHgf+kz99eHN079/PNmSMj5b3j/eZP159iUJ3huCa9Hn1T+Wx6MPWE1JGUNfJqj5cfrLjgr+SLVbxQxDLfEIUtG2536Vs2bNogULFqggY+PGjSprdKVKlWjkyJFRA0U4o3TTpk3pscceUwNFduzYUWKBWpkffWOFp0DnAGP16tXhdRxFrl27ltq3bx9zu3bt2kVtw1atWmW5DQAAQHEEzKAtS1Fw38kbb7yRevbsSY0aNaJbbrlF9b/k4CRUS8L9KMePH69m0G7RooUKYM6cOUOLFy8mJ5WpoISnHOdp5kNTzXN7Gv+9b98+Fd3yyJsnnnhCjcrZunWrqp7i6dP79+8f3seAAQNU80sIR4kchHAkuX37dvXvu+++q/YFAABgpyCZtiyMR45GLpEDMCJ16NCB3nvvPfr222/VbU5/8fHHH1OPHj1EA0WcVKaabziq69y5c/h2qF/HwIEDVZXT2LFj6ezZszRs2LBwmxgHHJFVTxzARPas5hqRJUuWqLa1P/7xj3TOOefQ0qVL1bYAAACJqn79+lG3J06cqPqO5MdpMrjvY7Nmzcjr9VIgEKDHH3+cbr/99rgGilB5D0o4Q6tVWhWuLeEXpLAXJWTNmjUF1nFVFi8AAAAlKaj+i38foZFCmZmZFFJYX0fGP7QXLVqkmmK4Twm3MHBrAA9/5h/18QwUKddBCQAAQFkWME21xLsPxgFJZFASy+9//3t6+OGH1WzYjGfE5hoQTm/BQUlxB4pQee9TAgAAAEXDHVbzJ4TjZhxO/BnPQJGSgJoSJwl6TJsBfb4GQ5DTgf53sVnvR1JGH9EbgrpIURnTnv38rw+YdRHTsKWMXbyCJ+YRnKBkQVWrJAdJitXQ9hKQI3j+qYb+uq/gKbyjX6R0jz7HRpog30uKVz8M1esVXLCCobOCUdVkSlLLSPYjKiN4b0iq/Z1sGtB9/hZxREtxRXZUjWcfRcET2XIfEs6nxc03mzdvVsN/77rrLnV/5ECR8847Ty38d/6BIk5AUAIAAOAQDigCDgclzz33nBrIwYNAuEmG+5Lw1CuPPPJIuIxkoIgTEJQAAAC4WEZGhspDYjWnm2SgiBMQlAAAADikNJpvyhIEJQAAAGVw9I0bYfQNAAAAJATUlAAAADiEx/jEnzzNvRCUAAAAOCRgw+ibAPqUAAAAQLwC5i9LvPtwK9SUlEWChGYUCNpyZduVPE1S3yjIjSVKsEYBfUKmYFBfxi/IIpUnKBMUlAmI9mOUyQ5wHkHXNUnntiTBRZRE+osoydAnPUvx6JOnJXv1j+X12JQ8TZRgTXDdCxKsmV7Dlscy82UQLZSkjCTBmmg/ujIeUeJFKFkISgAAAByCPiXWEJQAAAA4JEgGBciIex9uhSHBAAAAkBBQUwIAAOAQ7qYn6RZoJd7tExmCEgAAAIcEbGi+CaD5BgAAAKBkoaYEAADAIagpsYagBAAAwCGcb0iSc8hKvNsnMgQlduIkP5JEP/Ey7Zn5wJAk2rIpwZpHkhjNpjIkSYzmFyRGC+gzTZ0NJGnLnAkmC8qkaMtkm/q3a7apT/qVbfptSXj2SzlBwi4HZ+rwCjL5eQQZ+CRlfIKL0SdIsGaIkqeRTWUkCdb0xxP0CT7nfPpryPTqyxg+/XVvevVP3tAkfDP4i97Nk8qUEQhKAAAAHILmG2sISgAAABwSII9a4tuHeyEoAQAAcIhpQ58S08V9SpDRFQAAABICakoAAAAcgj4l1hCUAAAAOCRgetQS3z7ItdB8AwAAAAkBNSUAAAAOCZJBwTjrA4Lk3qoSBCU2MrxeMgxvfPuQJF8zBBe0JDGaoIwgh5RtSc9EZfyGLWUCfv3rlO3Xvz3O+PWJ0U4GUrVlsoJpgjL6/WR4crVlUoOCEy3YD/MKkqcFBB+g2YJrMY/0r1m81eJ20+TrUgyPIHmapIzgoyco+MSXJEYzBWWCSfrXwpMkOCBB8jRJgjXdfgxOSqnPKxg39CmxlljvYAAAACi3UFMCAABQpjq6muRWCEoAAAAc7VMS54R8hORpAAAAACUKNSUAAAAOCdow903QxaNvXNXRtVGjRmr0Sv5l+PDhhZZfs2ZNoeW3b9/u+LEDAED56VMS7+JWrqop2bBhAwUC/z/ccevWrdSlSxfq27ev5XY7duygzMzM8O0aNWqU6HECAED5rSlBnpJyEpTkDyaefPJJOuecc6hTp06W29WsWZMqV65cwkcHAAAA5SYoiZSbm0uLFi2iMWPGaBOStWzZkrKzs+nCCy+kCRMmUOfOnS3L5+TkqCUkKytL/WskJ5FhWCTTCgb1B+712pSRyabe2ZIEa0F7yngC+mP25GmLkJEnSOyUp6/+PJubpC1zMlef0OznPH1itOO+CtoymZ6z2jKpkhNE+v3kkSDBGhEliZJF6Z0RTMWeLcgOlm3qjyhPsJ94p5YPMQTZByVvVUltfdArSbBm2JNgLUmwn2T9eTaT9GX4c1UrT1/GiKhFL/R+Pn3ZVOICpqGWePfhVq5tmHrzzTfp559/pkGDBsUsU6dOHZo9eza9/vrr9MYbb9D5559P11xzDX344YeW+54yZQpVqlQpvNSvX78EngEAALgNd3K1Y3Er19aUzJ07l7p3705169aNWYaDEF5C2rVrR/v376dp06ZRx44dY243btw4VQMTWVOCwAQAACA+rgxK9u7dS++++66q/Siqtm3bqmYfKykpKWoBAAAoiqDpUUs8gsjoWrbMmzdPdV7t2bNnkbfdvHmzatYBAACwmx3NLwEX5ylxXU1JMBhUQcnAgQPJl29WSG52OXjwIC1cuFDdnjFjhspt0rx583DHWO5fwgsAAAA4y3VBCTfb7Nu3j+66664C9x0+fFjdF8KByIMPPqgClbS0NBWcrFixgnr06OHwUQMAQHkQtGH0TJDcy3VBSdeuXcmM0d42f/78qNtjx45VCwAAQNlJnuYht3LvMwMAAIAyxXU1JaXpl+RpFkl8BAnERMnT8vWVKdEEa4JDNgR1iR5BBi3DL0iw5hckWMsVJHbK0Z/nnBz9ec7K1Y/COp6bri1z1JuhLZMiSIzmEbwYQa/+t0i2KcsilSR58QUkidF+DujP48mgPlHdmaBFgsMiJViz6TedIMGa6ZEkRiN7ygg+XgKS5Gk+QZkU/YMZgiSGRp7+NTV1n79BZxKS2TF3TQBz3wAAAEC8gmSoJd59uBVqSgAAAByCmhJr6FMCAAAACQE1JQAAAGUqeZqH3ApBCQAAgEN4Bup4Z6EOYpZgAAAAgJKFmhIAAACHcOKzeJtfgmi+AQAAgMSYJdjj2hcCNSV2Sk4h8iTHlzxNwBAlT7PnojUEU2QbgudlBGxKjKbPH0beXH2ZgCDBml+QPO1Utj552rGkCtoyyYLscj6PTYnKgvpkVJW9Z0T7SjUEL4hAHumzep0M6BOjnQykasucCehfs5yg/rX3C74YTLva/j32lBE8LVkZSfK0FP0BBZP1r7snRX+9kj8Q92eZ5HMMSh6CEgAAAIcEyFBLvPtwKwQlAAAADkHzjTX3NkwBAABAmYKaEgAAAIdw75f4m2/cC0EJAACAQ9B8Yw1BCQAAgEMwIZ819CkBAACAhICaEgAAAIeYZFAwzj4lJoYEg4SRmkyGxyIxU8Ce5FfkFSRt8umTEplem8a6C5IOCXKDiRKjicoIEqN5s/Xn0J+sj9nPJlkky/uf41590i+fYc+14Q/qn9eZJH3ysBNefcI3lu7J0ZbxCp4bV2nrnAmm2JI8LcuvL3Par3+svID+PRYIOpdPQpKnTZIINOjT7yggyGcWECRP86QKkqf59e9DT1D/PtQxA+5uvjl48CA99NBD9Pbbb9PZs2epadOmNHfuXGrVqpW63zRNmjRpEs2ePZuOHz9Obdq0oRdeeIGaN29OTkLzDQAAgIsdP36crrjiCkpKSlJByddff03PPPMMVa5cOVxm6tSpNH36dHr++edpw4YNVLt2berSpQudPHnS0WNF8w0AAIBDgqahlnj3URRPPfUU1a9fn+bNmxde16hRo/DfXEsyY8YMGj9+PN10001q3YIFC6hWrVq0ePFiuueee8gpqCkBAABwCM8QbMfCsrKyopacnMKbU5cvX06tW7emvn37Us2aNally5Y0Z86c8P27d++mI0eOUNeuXcPrUlJSqFOnTrRu3TpyEoISAACAMqh+/fpUqVKl8DJlypRCy33//fc0c+ZMOu+882jlypU0dOhQuv/++2nhwoXqfg5IGNeMROLbofucguYbAACAMth8s3//fsrMzIyq3Si0fDCoakqeeOIJdZtrSrZt26YClQEDBoTLGUb0cXGzTv51JQ01JQAAAA4JkseWhXFAErnECkrq1KlDF154YdS6Cy64gPbt26f+5k6tLH+tyNGjRwvUnpQ0BCUAAAAudsUVV9COHTui1n377bfUsGFD9Xfjxo1VYLJ69erw/bm5ubR27Vpq3769o8eK5hsAAACHBExDLfHuoyhGjx6tggtuvrn11lvp888/V/lIeGHcRDNq1Ch1P/c74YX/Tk9Pp/79+5OTEJTYyExJIdNrlTxNn53HECQiMwXJ00iQPI08giRsgvZEQ3/Ioufl8QvK5OofyytInhbM1u8nmKQ/PwGf/i10yiqh3v8YgpMoyQKZG9S/7qcC+uPJ9GXLkqd59S+IhwQXiECeac9zO5mnT552xq/PDpYT8NmSzE6U9UxAkk9LcAopmGRPmUCyIImhIMFaQJA8TZTAUXO/GbDnOk3EIcGXX345LVu2jMaNG0eTJ09WNSM8BPiOO+4Ilxk7dqxKqjZs2LBw8rRVq1ZRRkYGOQlBCQAAgENM06NmCo53H0V1/fXXqyUWri159NFH1VKa0KcEAAAAEgJqSgAAABwSIEMt8e7DrRCUAAAAOIS7v8Tfp4RcC803AAAAkBBQUwIAAOCQoA0dXYNxbp/IXPXMuNcw9yCOXEKZ6mLh5DCtWrWi1NRUatKkCc2aNcux4wUAgPKFh/bbsbiV62pKmjdvTu+++274ttcbe2A+z4zYo0cPGjJkCC1atIg++eQTNUa7Ro0adPPNNzt0xAAAAODKoMTn82lrR0K4VqRBgwYqiUxoLoCNGzfStGnTihWUmGnJZHqTY95v5OmTp/EESHYwfYLEaF5BtC0JyCXJ0/z6Mh5JmTxBmcJn747i9QkSrAneHaZF0BuSZ8S+JkJOCjq++QP6x8oRJJo6ladPMFYxSXASiaiCT588zWcEtWU8gjJ+QWK4HMGLJkmMJkmwli0414GA4H1oV6dFjyTxov46M332JEYL6C978qfqz4+h/9gkw4aTGPQLHqiMZnQtS1zVfMN27txJdevWVRnr+vXrp6ZsjmX9+vXUtWvXqHXdunVTgUlenuDbDwAAoBh9SuJd3MpVz4zT4i5cuJBWrlxJc+bMUTMecr7/Y8eOFVqe788/AyLf9vv99OOPP8Z8nJycHMrKyopaAAAAID6uCkq6d++uml0uuugiuvbaa2nFihVq/YIFC2Juw51hC2s+yb8+0pQpU6hSpUrhpX79+rY9BwAAcC/VUdWMcyE035RJFSpUUAEKN+kUhvuecG1JpKNHj6p+KdWqVYu5X57U6MSJE+Fl//79th87AAC4j2nDyBvTxUGJ6zq65m9m+eabb+jKK68s9P527drRv/71r6h1PCti69atKSkpdme4lJQUtQAAACT6LMFliauabx588EGVd4SH+n722Wd0yy23qP4eAwcODNdwDBgwIFx+6NChtHfvXhozZowKXl5++WWaO3eu2g8AAAA4y1U1JQcOHKDbb79ddVLlXCNt27alTz/9lBo2bKjuP3z4MO3bty9cnkfovPXWWzR69Gh64YUX1Kidv/zlL8hRAgAAJQIZXctRULJkyRLL++fPn19gXadOneiLL74owaMCAAD4BZpvylFQUtoCqT4yfLH7ongECc0oYNqSKEiUGM0jOB6LUUhFYQimtfQInrs3V5D0LMemJFI2nUNBTjjKCwqeV1D/WHl+fYKx0yn65GFZSfrkYSwtSZ/PJ8mjT0rlMezJIOYXnKOcgM+WxGhnc5PsSZ4WsOc9JulmYHr15zkouO6D+qcuSp7m8esfyxC8pmTqr3uv5rMs4FDyNLCGoAQAAMAhdsxdE8ToGwAAAIgXmm/K0egbAAAAKLvQfAMAAOAQ1JRYQ1ACAADgEAQl1tB8AwAAAAkBNSUAAAAOQU2JNQQlAAAADjFtGNJrknshKLFRMNVLQZ83rmRchk3J0yRMQWI0u+Z9MoL6Mh6/IHlaniD5U47geUnyMYkaNwUnSJD8KSBIoCUpczZXkGAtV5AYLFmS8o0oyadPOOXz6sskeQUXiE3yBAnN/AGvLYnq/IIypiBxnogkeZo9ecjIFHxzBJL1B+Tx2/PZYUiemC55Wp7gidsANSXW0KcEAAAAEgJqSgAAAByCmhJrCEoAAAAcgqDEGppvAAAAICGgpgQAAMAhqCmxhqAEAADAIaZpqCXefbgVmm8AAAAgIaCmBAAAwCGcOC3e5GnBOLdPZAhKbORP9XIWqJj3ewTJ0zyS5GmCJGNkU4I1EhyziOB4DL/g/AiSp/kk9X+ipyVIdic5zYLkWIY+vxgFBcmdAqn6x/LnCJJ+Jcs+GnKS9QfuFSRG8wjKCHL9kSF4QSRV30HBaxYQJGEL5gkuRkFSPLIrt5xNydOCSfoyhiAxWiBFX0aUwVGQPM3UXBt+0QdH/NCnxBqabwAAACAhoKYEAADAIejoag1BCQAAgEPQfGMNQQkAAIBDUFNiDX1KAAAAICGgpgQAAMDBmhJuwol3H26FoAQAAMAhpg0ZG0xyLzTfAAAAQEJATYmNAqkeMpJix3mmR1/lZgoSoxmSRFOCZEuGXQnWJEmtBA9lBPWFPH5b8ijZlhNO9LwEybE8gjKBPMFj+T22JL4KJst+r0jKBX2Ck+S157p3NNGlIMGaKUgISILXzBA8luTns+Qdbwpei6DgDWQIrrOAJLGg4HMhIGnO0BQJCD6f7cDZWPm/ePfhVghKAAAAHILRN9bQfAMAAAAJATUlAAAADuGRN0aco2eCGH0DAAAA8eKufHGPvjHd+zqg+QYAAAASAppvAAAAHIKOrtYQlAAAADgEQUk5ar6ZMmUKXX755ZSRkUE1a9ak3r17044dOyy3WbNmDRmGUWDZvn27Y8cNAADla5bgeBe3clVNydq1a2n48OEqMPH7/TR+/Hjq2rUrff3111ShQgXLbTl4yczMDN+uUaNGkR8/kGIQJRlxJewyvfoyHo8g2VJAkIwqYE9yMLtIEr55BMnlbEvmJkr4Ztj0WggSrAmSp3ny9PsJJpMtZVS5JP0FG0zSP39TkGDN9Hrs+Znl5EUt+fIQXPeiMhKSzyCPPZ9TpuDbJRi0J8GaLC2cUW4TkpUlrgpK3nnnnajb8+bNUzUmmzZtoo4dO1puy+UqV65cwkcIAADlGUbflKPmm/xOnDih/q1ataq2bMuWLalOnTp0zTXX0AcffODA0QEAQPkMSow4F3ItV9WURDJNk8aMGUMdOnSgFi1axCzHgcjs2bOpVatWlJOTQ3/7299UYMJ9TWLVrnA5XkKysrJK5DkAAACUJ64NSkaMGEFfffUVffzxx5blzj//fLWEtGvXjvbv30/Tpk2LGZRwh9pJkybZfswAAOBuGH1TDptv7rvvPlq+fLlqhqlXr16Rt2/bti3t3Lkz5v3jxo1TTUOhhYMYAAAAHdOmxa18bmuy4YBk2bJlqvmlcePGxdrP5s2bVbNOLCkpKWoBAAAA+7gqKOHhwIsXL6Z//vOfKlfJkSNH1PpKlSpRWlpauJbj4MGDtHDhQnV7xowZ1KhRI2revDnl5ubSokWL6PXXX1cLAACAndB8U46ab2bOnKmaU6666ipV0xFali5dGi5z+PBh2rdvX/g2ByIPPvggXXzxxXTllVeqPigrVqygm266qZSeBQAAuFYpt99MmTJFJQgdNWrU/x+SadKjjz5KdevWVT/g+Tt027ZtVBpcVVPCJ1Zn/vz5UbfHjh2rFjsEOHFacpwJeAx7ykgSbZkeQeKvoCDxl+QNItmPYDeSUh7JeDnJMUuSp0kS0EkSowmSwgVsSp4m2U8wV/ZqiBKxJenLmD5B0jdRwi5BEjbJTzGPkwnWbErSZ9Mh25U8TfJ6GTYlWBMlqdN8Lgjeyvb437DeePdRHBs2bFCjTflHeKSpU6fS9OnT1fdj06ZN6bHHHqMuXbqopKLc6uAkV9WUAAAAQEGnTp2iO+64g+bMmUNVqlSJ+jHP3Rg4Azq3EHAKjQULFtCZM2dUdwinISgBAABwOKNrvEsoR1bkEpk/q7A+lz179qRrr702av3u3btV/0uekiWEB3J06tSJ1q1bR05DUAIAAOCQ+LO5GuHmn/r166uBHKGF+4sUZsmSJfTFF18Uen9oQEitWrWi1vPt0H1OclWfEgAAgPKCc2RFTiRbWKoKLjNy5EhatWoVpaamxtwXd36NxM06+dc5AUEJAACAU7iWw6aOrpmZmVFBSWF4QtqjR4+qqVRCAoEAffjhh/T888+rzqyMa0Ui83PxNvlrT5yA5hsAAIAy2KdEgudy27JlC3355ZfhpXXr1qrTK//dpEkTql27Nq1evToqVcbatWupffv25DTUlAAAALhURkZGgUlpK1SoQNWqVQuv55wlTzzxBJ133nlq4b/T09Opf//+jh8vghIAAACn2DF5jUm24lxdZ8+epWHDhtHx48epTZs2qg+K0zlKGIISG3GSKMMyUZSgHVGSA0hURpCwK8+mK1uSGE2QqM22BGumPbmxRInRBImdJAnogn7DliRsQUESNkPwWJKEZ788nqCMz57H8wgSo0keS5L4S5JYUHIRxdt1oGgJCh3slCg4INNr2JMYTXItij7KrI8nIEzf6IY082vWrIm6zR1aOaMrL6UNfUoAAAAgIaCmBAAAwEkOzmJQ1iAoAQAAcEgiNN8kMgQlAAAA5bijayJBnxIAAABICKgpAQAAcAw3vcTb/GKQWyEoAQAAcAqabyyh+QYAAAASAmpKnEyeJknYJcqMJtmPILmRDQmHxGxKjGYEJE9eUESwG1NyzIKEVR6bkpVJErVJkplJksJJ9vNLOcFzSxbsR3JMgsRohuATzRQkYRMlWBMkBxMNkrCrJt60qYzkI0jwc9YQlBGdZ8l71Rf/fkzBNWgL1JRYQlACAABQBmcJdqNiBSU87fH8+fPpvffeU9MbB/PlCn7//fftOj4AAAAoJ4oVlIwcOVIFJT179lSzDHLefAAAANA3I8mazmOLd3vXBSVLliyh1157jXr06GH/EQEAALgV+pTYP/omOTmZzj333OJsCgAAAGBfUPLAAw/Qn//8ZzLdXIcEAABQUh1d411cqljNNx9//DF98MEH9Pbbb1Pz5s0pKSl6POMbb7xh1/EBAAC4BqcjkKQksBLv9q4LSipXrkx9+vSx/2gAAADcDH1K7A9K5s2bV5zNXI+TKVklVJIkbRLk6xJV3YkiaUEZj6CJTvZYkupGe8J/SZIxUTI3SRIpwSFLXlOPJCecYEcBQTI3URK2gKx6OCBKMKffjyF4PMvEhDY/N1EyLq9NSdg8ZTDBmmQ3kmOWJFizKwlbMP59QMlD8jQAAACnIHmaPUHJZZddppKlValShVq2bGmZm+SLL76Q7hYAAKD8QPONPUHJjTfeSCkpKerv3r17SzcDAAAAsDcomThxYqF/AwAAgBBqSkq2T8mpU6cKzH2TmZkZ724BAADcp4wHJf/973+pVq1aiRWU7N69m0aMGEFr1qyh7Ozs8HpOpsZ9TXjCPgAAAHCXunXrUs2aNemSSy5Ry6WXXqqW888/nzyeYuVjjT8oueOOO9S/L7/8soqYMCEfAACA+0ffbN26lb766iu1bNq0iZ5++mm1Pi0tTSVT5QAlFLB06NDBmaAkdDAcGQEAAED5yOh6wQUXqOW2226jG264ge677z61HDp0iDZv3kxffvklzZkzh77++mvKzc11Jii5/PLLaf/+/QhK8gl6iAyrBDyixFaChEySBFGShFWC45EkBzPtSlbmEUT/AQffjZKEZoLjkVRois6zTU/d3g80SYY5u06APY9l+OxJeGdK3j+S96ogCVvxZikr3il09AtP8pJKygjOT9Ab3/1Q0KpVq1TNCU/Qy0vHjh3D9+Xl5VFxFOtS/+tf/0pPPfUULViwQNWYhKpyQktpe/HFF6lx48aUmppKrVq1oo8++siy/Nq1a1U5Lt+kSROaNWuWY8cKAADlsKNrvEsC4OaanTt3Fnpf/jnxSrSm5IcffqDvvvuOfvvb34bXcb+SROjounTpUho1apQKTK644gp66aWXqHv37qoqqUGDBoV22u3RowcNGTKEFi1aRJ988gkNGzaMatSoQTfffHOpPAcAAIBEN2HCBBo5cqSaD69du3a27LNYQcldd92lsrq++uqrCdfRdfr06TR48GC6++671e0ZM2bQypUraebMmTRlypQC5blWhIMVLse4rWzjxo00bdo0BCUAAGAr/raMu08JJQaOBbKyslSHVh6Vw5nfOTYIjchp1KiRM0HJ3r17afny5aoNKZFwpxpuTnr44Yej1nft2pXWrVtX6Dbr169X90fq1q0bzZ07V7WJFVYFlZOTo5YQflEAAADKk169etHw4cNVtvf//Oc/qpPrhx9+SM899xwdP368QA6zEgtKrr76anUAiRaU/Pjjj6rpKH9iF7595MiRQrfh9YWV9/v9an916tQpsA3XuEyaNMnmowcAANcr40OCIy1cuDD8N9eMDBw4MHybB8MUh6+40dHo0aNpy5YtdNFFFxWoTeBhQqUpf3NSqK9LUcoXtj5k3LhxNGbMmKiakvr168d51AAA4HplPKOrVHG/E4sVlAwdOlT9O3ny5AL3lWZH1+rVq5PX6y1QK3L06NGYaXFr165daHmfz0fVqlUrdBuuqgpNTggAAFAe/TZisIuVefPmleyQYG4nirWU5sib5ORkNbR39erVUev5dvv27QvdhnsM5y/PY69bt25d7CFNAAAAbh8SfOLEiaiFR7nyAJj86x2dkC/RcLPKnXfeqYIKDjhmz55N+/btC9fucNPLwYMHw21hvP75559X2/GwYO74yp1c+cQWr1t1fCGgaVsZQWInj2nPYwmSDhmC/k6mTe2kkoRmtr2pbUqwJnoowSg3wy84HsFp9kiHB4iSX0kydkkeS3JM+h0Fbfq1JkmwJuERXPey97wgQaH0oHT7cfD9I9qN5BLTlXGom0ZZz+ga6Y033gj/feDAAerUqZMaIMLZ3gsb7VpiQcn999+vOrnyv5H4y33Xrl3h4bWlgVPfHjt2TDUtHT58mFq0aEFvvfUWNWzYUN3P6zhICeEka3w/95F54YUX1LCmv/zlLxgODAAAIMA/9K+66ir1/ck/6m+88UaqUqUKjR07lhwJSl5//XU1JDg/biJ58sknSzUoYZz8jJfCzJ8/v8A6ju6++OILB44MAADKNZd1dD18+DB17txZ9c98++23qWLFivTmm29Sz549qWrVquGcYSUalHBNRKVKlQqsz8zMVMNoAQAAwN1ByX//+19VQ8KDTN555x0VkDAOUhYvXky33367yvZ6yy23lGxHV2664QPIj6MknjsGAAAA3K1z586qNoQHh4QCkpDevXur6V64j2eJ15Rwp9ARI0aoOXA4kRp777336Jlnnin1phsAAIBE5aaOrpmZmWoal/wBSeSQYW5ZcWTuG06z/vjjj9Of/vQntY5z3PP8MgMGDCjOLgEAANzPRRldV61apQITKw8++GDJBiWcfv2VV16hPn360L333qtqS9LS0mJGSgAAAOC+PiWZmoCkOIrcp4QznXIwEpqQrkaNGghIAAAAIG7F6ujapk0b2rx5c/yPDgAAUA77lMS7uFWx+pRwDpAHHnhAZXDjtO4VKlSIuv/iiy+mckmT0VXSDGhbGUczw9rzWPS/iRCt2dSWKkjHadcb367X1C6G4DwbwgOSZOoVlRHMTmEIriFR8ljJtWhHhlAmyLBLXpsyB0syw9p0nYneG6JjpvLHRc03CROUcNZUlj+ja2lPyAcAAADlLCjZvXu3/UcCAADgdnY0v5jkWsUKSkLzyPCMgDyPTG5ublRNSeh+AAAAiIDmG/uDku+//14NCd6yZYsKQsz/tVHz3wzNNwAAAODI6JuRI0eq2XU57316ejpt3bqVPvzwQ2rdujWtWbOmOLsEAAAoPzUl8S4uVayakvXr19P777+vcpR4PB7yer3UoUMHmjJliur8iuHCAAAA7k4znzA1Jdw8E8rgyrMDHjp0SP3NfUl27Nhh7xECAABAuVCsmpIWLVrQV199pWYE5kRqU6dOpeTkZJo9ezZmCQYAAADngpIJEybQ6dOn1d+PPfYYXX/99XTllVdStWrVaOnSpVRuadr6bKtykyRAcjTBmr5M0GfYU20nOImmIKuVIUkKJ0rmJmDYlNRK8lp4bUqIJ0yy5WzSN5sSwwUFB21TUjjRe1WS1smmZGV25R6UEH3e2ZV8T/Ja6I7HqSYRjL6xPyjp1q1b+G+uLeGhwT/99BNVqVIlPAIHAAAAoqFPSQkEJYWpWrWqXbsCAACAcsi2oAQAAAAEXDx6Jl4ISgAAAJyCPiX2DwkGAACAsmHKlCl0+eWXU0ZGBtWsWZN69+5dIH0Hd+x/9NFHqW7dupSWlkZXXXUVbdu2zfFjRVACAADgcEfXeJeiWLt2LQ0fPpw+/fRTWr16Nfn9furatWt4FC3j1B7Tp0+n559/njZs2EC1a9emLl260MmTJ8lJaL4BAABwcfPNO++8E3V73rx5qsZk06ZN1LFjR1VLMmPGDBo/fjzddNNNqsyCBQuoVq1atHjxYrrnnnvIKagpAQAAKEdOnDgRNWp29+7ddOTIEVV7EpKSkkKdOnWidevWOXpsqCmxESfwsUziI0r+RI6RJBkzJcnKBMm4SJDUSpJgza5ESqaDr4XkPIuS3dmUGC0o2Y9Xlm/IruR6oucvKmNTniTTweRpkvNjR3Iw6fFIdmNXMjfJY0ne84IEdB5NGVOSxC7B8pRkZWVFredAghcrXCsyZswYNV8dZ2dnHJAwrhmJxLf37t1LTkJNCQAAQBmcJbh+/fpUqVKl8MIdWnVGjBihpol59dVXC9yXP/kpBzBOJ0RFTQkAAEAZtH//fsrMzAzf1tWS3HfffbR8+XL68MMPqV69euH13Kk1VGNSp06d8PqjR48WqD0paagpAQAAKIM1JZmZmVFLrKCEazy4huSNN96g999/nxo3bhx1P9/mwIRH5oTk5uaqUTvt27cnJ6GmBAAAwMVz3wwfPlyNovnnP/+pcpWE+pBwkw/nJOEmmlGjRtETTzxB5513nlr47/T0dOrfvz85CUEJAACAi4cEz5w5U/3LCdHyDw0eNGiQ+nvs2LF09uxZGjZsGB0/fpzatGlDq1atUkGMkxCUAAAAuJgpGG7ItSWc0ZWX0oSgBAAAwCmY+8YSghIAAAAX9ykpSxCU2J08zSIBjxEUXEkOJiWyLTmW6HgkCcTsSdRm3xvWnvH5oqRfogRjhi37ESVPkyTEEyZ0kyVrs6eMaDyh5KnZlZrBySRs9uTok7Er+aBN58eOBGuSBGxQ8lwzJHjPnj00ePBgNbSJexOfc845NHHiRDWsyQp38uG2tMilbdu2jh03AACUIzYOCXYj19SUbN++nYLBIL300kt07rnn0tatW2nIkCFqFsRp06ZZbnvdddepXsghycnJDhwxAACUN2i+KSdBCQcWvIQ0adKEduzYoYZC6YISTjgTymgHAAAApcM1zTexZkIMzYJoZc2aNWoa56ZNm6raFU6tayUnJ0dNhBS5AAAAaKH5pnwGJd999x0999xzNHToUMty3bt3p1deeUWl3n3mmWdow4YNdPXVV6vAIxae9ChyEiSeFAkAAEALQUnZDko4kUv+jqj5l40bN0Ztc+jQIdWU07dvX7r77rst93/bbbdRz5491RTOvXr1orfffpu+/fZbWrFiRcxtxo0bp2phQgtPigQAAAAu71PCkwj169fPskyjRo2iApLOnTtTu3btaPbs2UV+PJ4hsWHDhrRz507LPii62RgBAAAKG5Yd79Bsw8WnNeGDkurVq6tF4uDBgyogadWqlRpN4/EUvSLo2LFjquYjcvpmAAAAWyCja9kOSqS4hoQnG2rQoIEabfPDDz+E74scWdOsWTPVJ6RPnz506tQp1Tx08803qyCEc5384Q9/UEEQ319URsBUSyweSXIemxIFJVyCNUliJ2HCLqdIjlnyk8W2/QjOj+i1sKmMKidKxJZYz03SaG3a9bra9D50NIOnTYnR7Pqcsit5mu6z1ankaRgSXE6CEp7NcNeuXWqpV69ezMmIeJgw9wNhXq+XtmzZQgsXLqSff/5ZBSZc07J06VLHZ0YEAAAo71wTlHBm1tAUzFYiAxTO/Lpy5coSPjIAAIDQl5ANNWime8+ma4ISAACAMsHFQYXrhwQDAABA+YCaEgAAAIego6s1BCUAAABOQZ8SS2i+AQAAgISAmhIAAACHoPnGGoISG3nyiKxyQImSADmZlMiUFBI8lOFch3TTkGRhk+xHUEZSj2jTfuwrYziWPEx6TLY9noOJ6hzlYIK1spbQ7Jf96A/Ils/WPIeGxKD5xhKabwAAACAhoKYEAADAIWi+sYagBAAAwClovrGEoAQAAMApCEosoU8JAAAAJATUlAAAADgEfUqsISgBAABwCppvLKH5BgAAABICakps5M0l8sabrCzRprQWJawyyl4iMq9d+zHK3jHb9FqofdmViMwox8nKJI8VsOexRGUCDiY0c/B56V53M5ccwd8Dou8CC/Fun8gQlAAAADgFzTeW0HwDAAAACQE1JQAAAA7B6BtrCEoAAACcguYbS2i+AQAAgISAmhIAAACHoPnGGoISAAAAp6D5xhKCEgAAAIegpsQaghIbefJM8lpk6JEkW7ItYZVdicicfCxBcrCgz56EZrL9CMoI9hO0LVGbPb3ETI9pX1K0BEt6ZgQNe5KeCZJ6mYKEXaI8dYLHkrArWZnHb9qT9EzyWKL92JSoTbebPPcmJCtLEJQAAAA4Bc03lhCUAAAAOMiuWnM3wpBgAAAASAioKQEAAHAKT6YX74R6pnurWhCUAAAAOASjb6yh+QYAAAASAmpKAAAAnILRN5YQlAAAADiEc6pI8qpYiXf7RIagxM6TmRMkXzC+q8U0DHsSbYka5gSPJUmMZjiXGC2YJEiMliTZjz3HY4r2I0hWJnksuxKjiTJ6kbNEidEEZQI27cevL+PxC94/dj0v286PadNzl5Qx7dmPTcnTdNeYieRpCQFBCQAAgFPQfFN+Oro2atSIDMOIWh5++GHLbUzTpEcffZTq1q1LaWlpdNVVV9G2bdscO2YAACh/o2/iXdzKVUEJmzx5Mh0+fDi8TJgwwbL81KlTafr06fT888/Thg0bqHbt2tSlSxc6efKkY8cMAADlLE9JvItLuS4oycjIUIFFaKlYsaJlLcmMGTNo/PjxdNNNN1GLFi1owYIFdObMGVq8eLGjxw0AAFDeuS4oeeqpp6hatWp06aWX0uOPP065ubkxy+7evZuOHDlCXbt2Da9LSUmhTp060bp162Jul5OTQ1lZWVELAACADppvylFH15EjR9Jll11GVapUoc8//5zGjRunAo+//vWvhZbngITVqlUraj3f3rt3b8zHmTJlCk2aNMnmowcAANdDR9eyXVPCnVDzd17Nv2zcuFGVHT16tKrluPjii+nuu++mWbNm0dy5c+nYsWOWj8H7yN+sk39dJA52Tpw4EV72799v07MFAAAovxK+pmTEiBHUr18/7aibwrRt21b9u2vXLtWkkx/3OQnVmNSpUye8/ujRowVqTyJxEw8vAAAARYG5b8p4UFK9enW1FMfmzZvVv5EBR6TGjRurwGT16tXUsmVLtY77oKxdu1b1TSkqb7ZJXkGin7iTX3kFCcR8gjKCjFWGR5BFy7Ap8ZfkmJP1+wkIykj2E0w2bUrUJnhNJWW8gmtLcP2I6kftHHMoya4nSX4V1O/HECQ0M/L0ZTyi69605blLEn9JTqEkAZ1HkFxOktDMmytJjKYv482zJ5mbEbQhwVqeQ2lSMUtw2W6+kVq/fj09++yz9OWXX6p+JK+99hrdc889dMMNN1CDBg3C5Zo1a0bLli1Tf3MTzahRo+iJJ55Q67Zu3UqDBg2i9PR06t+/fyk+GwAAgPIn4WtKpLg5ZenSpaoDKo+OadiwIQ0ZMoTGjh0bVW7Hjh2qH0gI33/27FkaNmwYHT9+nNq0aUOrVq1SQ4sBAADshOabchKU8KibTz/9VFuOO7FG4toS7kzLCwAAQInC6Jvy0XwDAAAAhXvxxRdVP8rU1FRq1aoVffTRR5SIEJQAAAC4OHna0qVLVf9Jzl7OA0CuvPJK6t69O+3bt48SDYISAAAAp/BIITuWIuD53QYPHqzyd11wwQVqepX69evTzJkzKdEgKAEAAHC6T0m8C1GB6U54kEd+nOZi06ZNUdOpML5tNZ1KaUFQAgAAUAbVr1+fKlWqFF54CpT8fvzxRwoEAoVOpxKaaiWRuGb0TSLw5gTIGwjEmWTMnsRokmxlkseSJGSSkCRPCwquRlGyMkmCtVT9EwukCBKaScok6ZMyGcn6Mh6foIwgeZrhERyPJFmXkClIehYM6i+QoCAxmpknuO59govRI8owpy8hqGY3Bc9LRPBeNUTJ0+xJeuaRlJEkYRMkNfNIklZqiph+wcmxgWFDbkLjf//yFCeZmZnh9VaZxos6nUppQVACAADgFBszumZmZkYFJYXhjOher7dArYhuOpXSguYbAAAAl0pOTlZDgHk6lUh8u3379pRoUFMCAADg4oyuY8aMoTvvvJNat25N7dq1o9mzZ6vhwEOHDqVEg6AEAADAxRldb7vtNjp27BhNnjyZDh8+TC1atKC33npLTceSaBCUAAAAuNywYcPUkugQlAAAADjE4FEvcXZ0NeLtKJvAEJQAAAA4hUc4B23Yh0th9A0AAAAkBNSU2Mh7Jo+8Pm/M+02vILGTV5KQSRBLCpLimLEPtWiJ2iQkedpEx0O2JD2TlAmmC36OpOgTLnkFZZKT/doyST7BfgRlvKLkabLqYdPUv7ABwfWa69e/+HmSMrn6C8Sfo9+PIN+bKCOgEdDvyOO1J/mgiOBl9diVYC1HUkb/YIYgeZohSJ5mBKz3Y/rzyAlovrGGoAQAAMDFo2/KEgQlAAAAZTCjqxuhTwkAAAAkBNSUAAAAuDija1mCoAQAAMApaL6xhOYbAAAASAioKQEAAHCIEfxliXcfboWgBAAAwClovrGEoMRGnhw/eawS8HgEydN8+jLBoD7bkilKniZI/hSU9KgSPJbHnmRupuCKDSYJyqQKEjKl6hM7+VL1CZfSBGXSU3L1ZZL0+0nx6pOwJQuyY3mEP8WCgqxeuYLrNSegf2HP5Olf2NO+ZG2ZbI9+P5I0WqYgMZqZZ891L0k+KCF5WSWJyDx5gjK5+gfzCJKneXIFCdb8gicWtC7jCejfO1DyEJQAAAA4BcnTLCEoAQAAcAjSzFvD6BsAAABICKgpAQAAcAo6ulpCUAIAAOBkn5J4h/SaNh1LAkJQAgAA4BD0KbGGPiUAAACQEFBTAgAA4OiQ4DjbX0xyLQQlNjLO5pLhNeJKnkZJPluqtySJ0YLJkuRpkgcTlJHsRvDEgj79g5lJggNK1j8xX4o+mVKFNH3Ss0pp2doymSmCMkn6MhV8OdoyKR77kkRJkqflBPXX9Gm/PunZqaQUbZkkj/51PaEtQWQG9c/L7xe8x3L1Wc8EueVEyQftml1WlGDNL0meZlNitGz99Wrk+eNOnmYE9O9lW6CjqyU03wAAAEBCQE0JAACAU7jCJt6KryC5lmtqStasWUOGYRS6bNiwIeZ2gwYNKlC+bdu2jh47AACUr9E38S5u5Zqakvbt29Phw4ej1v3xj3+kd999l1q3bm257XXXXUfz5s0L305O1rdvAwAAgL1cE5RwIFG7du3w7by8PFq+fDmNGDFC1X5YSUlJidoWAACgRKCja/lovsmPA5Iff/xRNc9Imn5q1qxJTZs2pSFDhtDRo0cdOUYAACinQUm8i0u5pqYkv7lz51K3bt2ofv36luW6d+9Offv2pYYNG9Lu3btVk8/VV19NmzZtUjUohcnJyVFLSFZWlu3HDwAAUN4kfE3Jo48+GrMDa2jZuHFj1DYHDhyglStX0uDBg7X7v+2226hnz57UokUL6tWrF7399tv07bff0ooVK2JuM2XKFKpUqVJ40QU+AAAACmpKynZNCfcJ6devn2WZRo0aRd3mTqvVqlWjG264ociPV6dOHVVrsnPnzphlxo0bR2PGjImqKeHAxMjJJcMqyZEgoZkuwY8i2I3Hpy/kyZMkTxOUkdQkCobAmZIygitWkjzNECRPS0nN05bJSNUnK6uaelpbplrKGW2Zykn6MpV8Z7VlUjz65+UVZsQLCF7YnGCStswJf5q2zM956doyHsFxBwUXWkBw3QcEydPMXEEZn2FLYsG4h5mGdiP5CJIkT/Prd2TkChKj5eTakzwtoEmeFnQoeRqGBJftoKR69epqkTJNUwUlAwYMoKQk/YdhfseOHaP9+/er4CQWbtaJ1bQDAAAQCybkK+PNN0X1/vvvq74hsZpumjVrRsuWLVN/nzp1ih588EFav3497dmzR3V45SYcDoL69Onj8JEDAACUbwlfU1KcDq6cs+SCCy4o9P4dO3bQiRO/zH7h9Xppy5YttHDhQvr5559V7Ujnzp1p6dKllJGR4fCRAwCA62FIcPkKShYvXqxt3glJS0tTHWIBAAAcETSFHfE0+3Ap1zXfAAAAQNnkupoSAACAhIXmG0sISgAAABxjR0ZWk9wKzTcAAACQEFBTYiMzO9cyyZEhSJ4mmpLaI9hPkldfJqB/+Q1Jhyq7gna7Eqx59Qfk8+kTO6Um6RMyVUzWJ0+rkqxPaFYrRT9VQfWkk9oylb36BGuphj55WpIRILuSp50J6nP6VPTqE6OleAQJsgT8gkxkuQH9+yc3R//+yfPp92MKPhckydNECdYEJJ9Bks8FQ5I8LUeQPC1Xf72SIMGaqUmeZjqVPA3NN5YQlAAAADhFBXQYfRMLmm8AAAAgIaCmBAAAwClm8Jcl3n24FIISAAAAp6BPiSUEJQAAAE5BnxJL6FMCAAAACQE1JQAAAE5B840lBCUAAABOUSOC4xwSbJJrISixU26O5eyPpleQ0EzwMIYkeVqez5bkRh6/PYmUJFnPRInRJA2OguRpXp8+OViKT5/YKTM5W1umavJpWxKj1fadsCV5WrpHn/AtmexLnnZakDxNckyShG5BwUV0NpCkLXM6L1lb5kyKvkxekv6xgj799Wp6BW8OyYeHhODtbFfyNAoIrjNB8jQzT5BgLU/zfjYdSp4GlhCUAAAAOAXNN5YQlAAAADglyDVIQRv24U4YfQMAAAAJATUlAAAATkHzjSUEJQAAAE5BUGIJzTcAAACQEFBTAgAA4BSkmbeEoAQAAMAhphlUS7z7cCsEJTYyc3OtE4AJkqeRR58ByfAJEqPl6ZMSGQFBliTBtW8EHcxAaJGcLswjSJ7mDdqSPC3Nq0/aVNGbY0vSs6reU9oy1bz6RG3phv55JYteVFnytAyPPilValCQ/EogJ6hPVnYqoE/mlpWXqi1zwqcvczZJ/z40ffrPBdNrT2JBSYJC2wiylhoB/XVm+gXnUJBgjTQJ1kynkqfxeZEknLQSb0bYBIY+JQAAAJAQUFMCAADgFFXLgZqSWFBTAgAA4BTOxmrHUgL27NlDgwcPpsaNG1NaWhqdc845NHHiRMrNjW7a2rdvH/Xq1YsqVKhA1atXp/vvv79AmeJCTQkAAADQ9u3bKRgM0ksvvUTnnnsubd26lYYMGUKnT5+madOmqTMUCASoZ8+eVKNGDfr444/p2LFjNHDgQDJNk5577jkEJQAAAGVGAjffXHfddWoJadKkCe3YsYNmzpwZDkpWrVpFX3/9Ne3fv5/q1q2r1j3zzDM0aNAgevzxxykzMzOuY0DzDQAAgEPMYNCWhWVlZUUtOTn6kX5FdeLECapatWr49vr166lFixbhgIR169ZNPfamTZvifjwEJQAAAGVQ/fr1qVKlSuFlypQptu7/u+++U00yQ4cODa87cuQI1apVK6pclSpVKDk5Wd0XLwQlAAAATs99E+9CpJpQuCYjtIwbN67Qh3z00UfJMAzLZePGjVHbHDp0SDXl9O3bl+6+++6o+7h8wadlFrq+qNDR1Uac5Me0SkwlSSaUJ8iSlKRPfkWChEMev74Ht0eQYE2SZ8uQPHcHMzt5BAnWfIInluzRvxbpguRpGZ5sbZlMQZnKgkRlGYIEfUnC3ysBQdt4tqk/R146qy2TJ0g+eNKbpi2T6augLZPu05/HtGR9wq5TPv01lOfTn0PTKylj2JJgTZAPz75+D5IyQf1nGQUECdb81tehaQoexw6cOE2SBFJw3rj/hqQPx4gRI6hfv36WZRo1ahQVkHTu3JnatWtHs2fPjipXu3Zt+uyzz6LWHT9+nPLy8grUoBQHghIAAAAXq169ulokDh48qAKSVq1a0bx588jjiY5kOVDhDq2HDx+mOnXqhDu/pqSkqG3ihaAEAADAKaqWI5iQo28OHTpEV111FTVo0ECNtvnhhx+iakhY165d6cILL6Q777yTnn76afrpp5/owQcfVEOH4x15wxCUAAAAOMQMmmTG2XxjllBQwjUeu3btUku9evUKfUyv10srVqygYcOG0RVXXKGSrPXv3z88ZLjcdHTl6qL27dtTeno6Va5cudAyxckyx8OY7rvvPlWet7vhhhvowIEDJfQsAACgXOMZfu1YSgDnGuHgo7AlEtek/Pvf/6YzZ86o5Gk8Qoebb8pVUMLBBfcCvvfeewu9P5RljjPPcZa5JUuW0Ouvv04PPPCA5X5HjRpFy5YtU+V5u1OnTtH111+v9gcAAADOKTPNN5MmTVL/zp8/v9D7i5NljodQzZ07l/72t7/Rtddeq9YtWrRIjf1+9913VUIYAACA8tB8kwjKTE2JTnGyzPF6HsbEHXdCeHvez7p16xw5bgAAKEcSuPkmEZSZmhKd4mSZ4/V8P5eLxPuxykzHgU5kOl+ucWF+U5O3QHAheQS5OoygPl+DGdC/tMGAfj9+vz4i9+fpHyuQq39egRx9mWC2/hwGz+rzYgTO6HOH+AX5RXINfT6L7KD+eM4k6ZsLTwtyXqR5BR9Wojwlho15SvRlTgX1j3da0KR6Nk9/rnNy9PlF8s7oX1f/af31ETyTpC9zVn9+gtleW94/gVzJ+1l/nr1+/TmkgP78eIL6MmZQ/1qYpqSM9TGHPr9LuhbCT3lxT33j5324VKkGJZxlLtQsE8uGDRuodevWov3ZlWVOtw2n8i3suD8KLLfesSDnGUmmLsgSlPmvoAxY2oHzUwbtKu0DgDKOO25yyna78Q9gHlb78ZG3bNlf7dq11T7dplSDkqJmmbNSnCxzvA13oOVykbUlR48eVSN9YuFUvmPGjAnf/vnnn6lhw4Zq9E9JXMwlhSdw4v4z3A/HjvHlTimrx12Wjx3HjfPt5uskVOPNo0oiJ5+zU2pqKu3evVs7IlSKAxLep9v4ykqWOZ3iZJnj9UlJSbR69Wq69dZb1TrefuvWrTR16tSYj8X7LGz4EwckZe2NWJRUxYmmrB53WT52HDfOt5uvE5Y/g6mdOIhwYyBRLju6ci3El19+qf7l4br8Ny88hDd/lrnNmzfTe++9VyDLHKfPbdasGX3++efhIGLw4MFq2DCX5+1+85vf0EUXXRQejQMAAADOKDMdXR955BFasGBB+HbLli3Vvx988IFKiyvJMsdNOTt27FAJX0KeffZZ8vl8qqbk7NmzdM0116hhx7w/AAAAcE6ZCUo4UIiVoyR/ljmr/in5e1ZzVRpno+OluLgpZ+LEibZltHMKjhvnHNdKYsJ7E+e8vDJMN2dhAQAAgDKjzPQpAQAAAHdDUAIAAAAJAUEJAAAAJAQEJQAAAJAQEJQIcFI2zvCanp5OlStXLrQM50/p1asXVahQQSWEu//++7WZ+3j+nPvuu0+V5+1uuOEGOnDgAJWUNWvWqPT5hS2czj8Wnmk5f/m2bduSk3jkVP5jePjhhy234T7cPJUBT7LIQ8R56Pi2bdscO+Y9e/aoPDiNGzdWj3/OOeeoUVq666K0zveLL76ojpVHpHFiwY8++siy/Nq1a1U5Lt+kSROaNWsWOYmne7j88sspIyODatasSb1791ZD/ovzHti+fbtjx83XZP7H5+zSiXyuY70HeRk+fHjCnesPP/xQfR7ze58f880337Tls+H1119X+bB4dBT/u2zZshJ8FuUTghIB/hLp27cv3XvvvYXez8ncevbsSadPn6aPP/6YlixZoi5eTspmZdSoUeqi5vK8HSeCu/7669X+SgIHVpyxNnK5++671YeNbn6h6667Lmq7t96yZ/6Gopg8eXLUMUyYMMGyPGflnT59Oj3//PMq6OIP/i5dutDJkycdOV7+8A0Gg/TSSy+pDzzOicNfJn/4wx+02zp9vpcuXaqux/Hjx6skgldeeSV1795dBduF4XTZPXr0UOW4PD8nDsT5uncKf1HzF+Knn36qsjL7/X6VRJHfhzocvESe3/POO4+c1Lx586jH37JlS8yyiXCuGb+HIo+Zzznjz8ZEO9d8DVxyySXqvW/XZwPPRH/bbbepBJ3/+c9/1L+c3yr/9CYQJx4SDDLz5s0zK1WqVGD9W2+9ZXo8HvPgwYPhda+++qqZkpJinjhxotB9/fzzz2ZSUpK5ZMmS8DrenvfzzjvvOPKS5ObmmjVr1jQnT55sWW7gwIHmjTfeaJamhg0bms8++6y4fDAYNGvXrm0++eST4XXZ2dnq9Zs1a5ZZWqZOnWo2btw44c73r3/9a3Po0KFR65o1a2Y+/PDDhZYfO3asuj/SPffcY7Zt29YsLUePHuX0BubatWtjlvnggw9UmePHj5ulZeLEieYll1wiLp+I55qNHDnSPOecc9R7LVHPNeNjWLZsWdyfDbfeeqt53XXXRa3r1q2b2a9fvxI68vIJNSU24Ai6RYsWqiowpFu3bqp5ZtOmTYVuw+s5wyz/sgvh7Xk/69atIycsX76cfvzxR9VcoMNVsVxF3rRpU5W6nyctdNpTTz1F1apVo0svvVQ1qVk1g/CvyyNHjkSdX65y7dSpk2PnN9akX5IJv5w833we+XqMPFeMb8c6V3zN5y/P1/zGjRvVdV1a55ZJzi9nhOY5sjiDM2eFdtrOnTvV+52by3hS0u+//z5m2UQ813zNLFq0iO666y7tLOylfa7t+myI9TqU5ueJGyEosQFf4PlnIuZZh3kWR74v1jZ8f+TsxIz3E2sbu82dO1e9qXhWTytcjf/KK6/Q+++/T88884yq7rz66qtV0OWUkSNHqmYu/lDj2aVnzJihphSIJXQO878uTp7f/L777juVOXjo0KEJdb45MOUmw6Kcq8Kueb7NTSi8P6fxD2KeubtDhw4qsI+Fvxxnz56tmj7eeOMNOv/889WXJfdBcEqbNm1o4cKFtHLlSpozZ446l9y0euzYsTJxrhn30eDZ0a1+0CTCubbzsyHW61BanyduVWbSzNuNOzlNmjTJsgx/Gej6WoQU9muBPyh1vyLs2KY4z4U71PKH4muvvabdP7ejhvAHPu+nYcOGaq6hm266qUjHWtzjHj16dHjdxRdfrIK5W265JVx7Ekv+c1mc8xvPcYccOnRI9RPh9nfux1Ma51unqOeqsPKFrXcCB6pfffWV6ptlhb8YeYmcXXz//v1qjqyOHTs6cKS/BJ0hPPknHwN3gua5vTiwSvRzHfpBw88jsnY4Ec+1leJ8NpTE5wlEK7dBCX+IcbWpFe4AKsGdpPJ3djp+/LiqWs0fWUduw1WgXC6ytoSr6flXU0k/l3nz5qkvcx7xU1T8C4i/JLkKurReg9BolF27dhUalIRGM/CvGD7eyPMb6zUpqePmgKRz587qQ5l/OZbW+Y6FR3/xBJT5f/FZnSs+v4WV58ktrYLEksAj2Lgpkn+B16tXr8jb87XETRGlhUfecXAS6/VNpHPN9u7dS++++66q/Shr5zqez4ZYr0O8nycQrdwGJfxBzIsd+MuG+zhwz/LQRb5q1SrVTsnD+ArD65OSklQPdu7BzXj7rVu3qp7hJflcOLrnoGTAgAHqGIqKq5n5F0/kG9rp14BHIbBYx8Bt9fwhwuc3NKM0B4E8YoNrV5w67oMHD6qAhF9vPucej6fUzncs3IzIx8fnqk+fPuH1fPvGG2+Mec3/61//ilrH1zzX6hTnmioOvo45IOERbNwHh1/z4l5LJXVuJbhZ7ptvvlGjaxL1XEfi65j7O/GIw7J2ruP5bODXgbeJrLXl16GoPyJBo7R72pYFe/fuNTdv3mxOmjTJrFixovqbl5MnT6r7/X6/2aJFC/Oaa64xv/jiC/Pdd98169WrZ44YMSK8jwMHDpjnn3+++dlnn4XX8WgHLsfleburr75a9crn/ZUkfjx+6b/++utC7+fjfOONN9Tf/BwfeOABc926debu3btVj/p27dqZv/rVr8ysrCzTCfzY06dPV+f8+++/N5cuXWrWrVvXvOGGG2IeN+Pe9dyjntdt2bLFvP322806deo4dtw8murcc89Vryu//ocPHw4viXa+eRQYjwabO3euui5GjRplVqhQwdyzZ4+6n0fh3HnnneHy/Dqkp6ebo0ePVuV5O97+H//4h+mUe++9V72+a9asiTq3Z86cCZfJf9w8gotHYnz77bfm1q1b1f38Xnj99dcdO25+ffmY+Rx++umn5vXXX29mZGQk9LkOCQQCZoMGDcyHHnqowH2JdK75fRT6nObHDH1+8Ge59LOBn0vk6LNPPvnE9Hq9attvvvlG/evz+dRrCPZBUCLAQzT5ws6/8BdGCF/sPXv2NNPS0syqVauqgISHmYXwF0z+bc6ePavKcXnejj+c9u3bZ5Y0fgO2b98+5v18nDz8mfEHfNeuXc0aNWqoD0L+QOLz4cRxhmzatMls06aN+hBJTU1VX+I8rPL06dMxjzs09I/L8fA/Hp7dsWNH9QHkFD6Wwq6b/L8FEuV8v/DCC2rodXJysnnZZZdFDa3lY+jUqVNUef5ibdmypSrfqFEjc+bMmaaTYp3byGsg/3E/9dRTahgrX0dVqlQxO3ToYK5YscLR477tttvUFyC/vhxc33TTTea2bdtiHnMinOuQlStXqnO8Y8eOAvcl0rkODUfOv/AxSj8b+LmEyof8/e9/V58//NrxMG0ng9nywuD/6WpTAAAAAEoahgQDAABAQkBQAgAAAAkBQQkAAAAkBAQlAAAAkBAQlAAAAEBCQFACAAAACQFBCQAAACQEBCUAUCJ44sJLL70UZxcAxJA8DQBKxKlTp9S8LqUxaRwAlE0ISgDKOZ7NujQmdgMAyA/NNwAu884771CHDh2ocuXKqpbi+uuvp++++07dt2fPHjIMg1577TW66qqrKDU1NTyV/Msvv0zNmzdXs1vzTK4jRowI75O3eemll9S+0tPT6YILLqD169fTrl271H4qVKigZlENPU5hzTeDBg2i3r1707Rp09T++diGDx+ugiIAAIagBMBlTp8+TWPGjKENGzbQe++9Rx6Ph/r06UPBYDBc5qGHHqL777+fvvnmG+rWrRvNnDlTBQi/+93vaMuWLbR8+XI699xzo/b7pz/9iQYMGEBffvklNWvWjPr370/33HMPjRs3jjZu3KjKRAYyhfnggw9U4ML/LliwgObPn68WAACltGcEBICSdfToUTVDKs+CGpqtesaMGVFleLba8ePHx9wHbzNhwoTw7fXr16t1c+fODa979dVX1YywITwL6yWXXBK+zTOu8izEfr8/vK5v375q1lwAAIaaEgCX4ZoIrsVo0qQJZWZmUuPGjdX6ffv2hcu0bt06/PfRo0fp0KFDdM0111ju9+KLLw7/XatWLfXvRRddFLUuOzubsrKyYu6Dm4e8Xm/4Njfj8OMDADAfTgOAu/Tq1Yvq169Pc+bMobp166pmmxYtWlBubm64DPcBCUlLSxPtN7IzLPcxibUuspnIah+hbazKA0D5gpoSABc5duyY6icyYcIEVfPBHVKPHz9uuU1GRgY1atRI9T8BAChNqCkBcJEqVaqoUS2zZ89WTSPcZPPwww9rt+ORMkOHDqWaNWtS9+7d6eTJk/TJJ5/Qfffd58hxAwAw1JQAuAiPtFmyZAlt2rRJNdmMHj2ann76ae12AwcOpBkzZtCLL76o+n3w0N+dO3c6cswAACFIngYAAAAJATUlAAAAkBAQlAAAAEBCQFACAAAACQFBCQAAACQEBCUAAACQEBCUAAAAQEJAUAIAAAAJAUEJAAAAJAQEJQAAAJAQEJQAAABAQkBQAgAAAAkBQQkAAABQIvg/G8uk2Cmz9pwAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ps = deepszsim.simtools.get_cls(ns=d[\"ns\"], cosmo=d[\"cosmo\"])\n", "cmb_map = deepszsim.simtools.make_cmb_map(shape=y_map.shape, pix_size_arcmin=d[\"pixel_size_arcmin\"], ps=ps)*u.uK\n", "deepszsim.visualization.plot_graphs(cmb_map.value,'CMB map at Dec: 0, RA: 0',\n", " 'arcmin','arcmin','$\\mu$K', width=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creating a signal (SZ + CMB) map" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is an example of what a generated signal map will look like. " ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "signal_map = dT_map + cmb_map.value \n", "deepszsim.visualization.plot_graphs(signal_map,'$M_{200}$='+'{:.2E}'.format(Decimal(M200))+', z='+str(z)+', dT map with CMB',\n", " 'arcmin','arcmin','$\\mu$K',width=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Beam Convolution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This what an example CMB map post beam-convolution will look like. Here we use the method `add_cmb_map_and_convolve` in `simtools`, which creates a CMB map, adds our cluster, convolves with a beam, and then eliminates edge effects." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "conv_map, _ = deepszsim.simtools.add_cmb_map_and_convolve(dT_map, ps, d[\"pixel_size_arcmin\"], d[\"beam_size_arcmin\"])\n", "deepszsim.visualization.plot_graphs(conv_map,'$M_{200}$='+'{:.2E}'.format(Decimal(M200))+', z='+str(z)+', convolved signal map',\n", " 'arcmin','arcmin','$\\mu$K',width = 10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Adding Noise" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we add a white noise map to the convolved CMB map using the `generate_noise_map` function in `noise`." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "noise level is 8uK*arcmin\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "noise_map=deepszsim.noise.generate_noise_map(d[\"image_size_pixels\"], d[\"noise_level\"], d[\"pixel_size_arcmin\"])\n", "total_map=conv_map + noise_map\n", "deepszsim.visualization.plot_graphs(total_map,'$M_{200}$='+'{:.2E}'.format(Decimal(M200))+', z='+str(z)+', convolved signal map with noise',\n", " 'arcmin','arcmin','$\\mu$K', width = 10, extend=True, logNorm = True)\n", "print(\"noise level is \" + str(d[\"noise_level\"]) + 'uK*arcmin')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Aperture Photometry" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the function `get_tSZ_signal_aperture_photometry` from `filters` to associate an tSZ signal to our cluster. This is a demonstration of how to use the aperture photometry tool." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average in inner radius: -53.947394172732494\n", "Average in outer radius: -49.42236198587485\n", "tSZ signal: -4.5250321868576435\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ap_arcmin=2.0 #arcminutes\n", "pix_scale=0.5 #each pixel is 0.5 arcmin\n", "disk, ring, signal = deepszsim.filters.get_tSZ_signal_aperture_photometry(conv_map, ap_arcmin, pix_scale)\n", "print('Average in inner radius: '+str(disk))\n", "print('Average in outer radius: '+str(ring))\n", "print('tSZ signal: '+str(signal))\n", "center = np.array(conv_map.shape) / 2\n", "center = center - center[0]\n", "fig, ax = plt.subplots()\n", "ax.imshow(conv_map, extent=[-width,width,-width,width])\n", "disk_circle = plt.Circle(center, ap_arcmin, color='red', fill=False, linewidth=1)\n", "annulus_circle = plt.Circle(center, ap_arcmin * np.sqrt(2), color='black', fill=False, linewidth=1)\n", "ax.add_patch(disk_circle)\n", "ax.add_patch(annulus_circle)\n", "plt.ylabel('arcmin')\n", "plt.xlabel('arcmin')\n", "plt.title('$M_{200}$='+'{:.2E}'.format(Decimal(M200))+', z='+str(z)+', convolved signal map')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating Sims without step by step functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For more on overall sim generating functions see `demo_simulation.ipynb`.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you want to create simulated clusters without previously defining a mass and redshift distribution, you can use the `simulate_clusters` class in `make_sz_cluster.py`. You can specify the following characteristics of the simulated clusters:\n", "- $M_{200}$\n", "- redshift\n", "- number of halos\n", "- halo parameters\n", "- $R_{200}$\n", "\n", "We will create a galaxy cluster of 10 halos as an example:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "jp-MarkdownHeadingCollapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "making 10 clusters uniformly sampled from0.1" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "simulated_map = cl.get_y_maps()[0]\n", "deepszsim.visualization.plot_graphs(simulated_map,'$M_{200}$='+'{:.2E}'.format(Decimal(M200))+', z='+str(z)+', Compton y map',\n", " 'arcmin','arcmin','Compton y',width=10, extend=True)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "_ = cl.get_T_maps()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['0347177_028_078954',\n", " '0163978_055_250734',\n", " '0900430_044_200930',\n", " '0611437_042_462385',\n", " '0928287_020_156564',\n", " '0845614_026_237929',\n", " '0624573_108_676349',\n", " '0097185_062_847315',\n", " '0272504_089_925013',\n", " '0628552_094_549938']" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "k = list(cl.clusters.keys())\n", "k" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can extract specific maps from specific simulated clusters. For example, the code below visualizes the `final_map` (beam convolved temperature map + CMB + noise) for the first simulated cluster (index 0). (To be able to access the maps, you must run `cl.get_T_maps()` first!)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cluster_ex0 = cl.clusters[k[0]]\n", "simulated_map = cluster_ex0['maps']['final_map']\n", "deepszsim.visualization.plot_graphs(simulated_map,\n", " \"convolved CMB map with noise\\n\"+\\\n", " '$M_{200}$='+f\"{cluster_ex0['params']['M200']:.2E}, z={cluster_ex0['params']['redshift_z']:.2}\",\n", " 'arcmin','arcmin','$\\mu$K', width=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Storing Sims" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is an example block of code for storing simulated submaps. It saves the simulation data into the h5 file `sz_sim_data.h5`, with `sim_id` label as 1." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "sim_id = 1\n", "# Data to be stored:\n", "data = {\n", "'temperature_submap': dT_map,\n", "'noise_submap' : np.zeros((10,10)),\n", "'cmb_submap' : cmb_map,\n", "'y_central' : y_map[width][width],\n", "'M200': M200,\n", "'redshift_z': z,\n", "'concentration': c200,\n", "'ID': sim_id,\n", "}\n", "with h5py.File('sz_sim_data.h5', 'a') as f:\n", " deepszsim.utils.save_sim_to_h5(f, f\"sim_{sim_id}\", data, overwrite=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The class `simulate_submaps` also has a `save_map` function that can save individual maps or this class instance has a `save_map` method that can save individual maps as specified, or all clusters into a single nested file with `nest_h5 = True`, or all clusters individually." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "# cl.save_map()" ] } ], "metadata": { "anaconda-cloud": {}, "colab": { "provenance": [] }, "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": "3.11.15" } }, "nbformat": 4, "nbformat_minor": 4 }