{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Stage IV Galaxy Survey\n", "\n", "This example simulates a galaxy catalogue from a Stage IV Space Satellite Galaxy Survey such as *Euclid* and *Roman* combining the [galaxies](../1-basic/density.ipynb) and [lensing](../1-basic/lensing.ipynb) examples with galaxy ellipticities and galaxy shears, as well as using some auxiliary functions.\n", "\n", "The focus in this example is mock catalogue generation using auxiliary functions built for simulating Stage IV galaxy surveys." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup\n", "\n", "The setup is essentially the same as in the [cosmic shear](cosmic_shear.ipynb) example.\n", "\n", "In addition, we also show how to use auxiliary functions to generate tomographic redshift distributions and visibility masks." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import healpy as hp\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# use the CAMB cosmology that generated the matter power spectra\n", "import camb\n", "from cosmology import Cosmology\n", "\n", "# almost all GLASS functionality is available from the `glass` namespace\n", "import glass\n", "import glass.ext.camb\n", "\n", "# creating a numpy random number generator for sampling\n", "rng = np.random.default_rng(seed=42)\n", "\n", "# cosmology for the simulation\n", "h = 0.7\n", "Oc = 0.25\n", "Ob = 0.05\n", "\n", "# basic parameters of the simulation\n", "nside = lmax = 256\n", "\n", "# set up CAMB parameters for matter angular power spectrum\n", "pars = camb.set_params(\n", " H0=100 * h,\n", " omch2=Oc * h**2,\n", " ombh2=Ob * h**2,\n", " NonLinear=camb.model.NonLinear_both,\n", ")\n", "\n", "# get the cosmology from CAMB\n", "cosmo = Cosmology.from_camb(pars)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set up the matter sector." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# shells of 200 Mpc in comoving distance spacing\n", "zb = glass.distance_grid(cosmo, 0.0, 3.0, dx=200.0)\n", "\n", "# linear window functions for shells\n", "ws = glass.linear_windows(zb)\n", "\n", "# compute the angular matter power spectra of the shells with CAMB\n", "cls = glass.ext.camb.matter_cls(pars, lmax, ws)\n", "\n", "# apply discretisation to the full set of spectra:\n", "# - HEALPix pixel window function (`nside=nside`)\n", "# - maximum angular mode number (`lmax=lmax`)\n", "# - number of correlated shells (`ncorr=3`)\n", "cls = glass.discretized_cls(cls, nside=nside, lmax=lmax, ncorr=3)\n", "\n", "# compute Gaussian spectra for lognormal fields from discretised spectra\n", "gls = glass.lognormal_gls(cls)\n", "\n", "# generator for lognormal matter fields\n", "matter = glass.generate_lognormal(gls, nside, ncorr=3, rng=rng)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set up the lensing sector." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# this will compute the convergence field iteratively\n", "convergence = glass.MultiPlaneConvergence(cosmo)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set up the galaxies sector." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# galaxy density (using 1/100 of the expected galaxy number density for Stage-IV)\n", "n_arcmin2 = 0.3\n", "\n", "# true redshift distribution following a Smail distribution\n", "z = np.arange(0.0, 3.0, 0.01)\n", "dndz = glass.smail_nz(z, z_mode=0.9, alpha=2.0, beta=1.5)\n", "dndz *= n_arcmin2\n", "\n", "# distribute dN/dz over the radial window functions\n", "ngal = glass.partition(z, dndz, ws)\n", "\n", "# compute tomographic redshift bin edges with equal density\n", "nbins = 10\n", "zbins = glass.equal_dens_zbins(z, dndz, nbins=nbins)\n", "\n", "# photometric redshift error\n", "sigma_z0 = 0.03\n", "\n", "# constant bias parameter for all shells\n", "bias = 1.2\n", "\n", "# ellipticity standard deviation as expected for a Stage-IV survey\n", "sigma_e = 0.27" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make a visibility map typical of a space telescope survey, seeing both hemispheres, and low visibility in the galactic and ecliptic bands." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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//vuL9NplrXvvvfcqLi4u33UKOpjOT7169XTrrbfq6quvVoMGDTRt2jQ99dRTkk6NSlmWlec5BZWLgq7NuvHGGzV8+HAlJCSobdu2+uSTT9SrV69c16h4PB5ddtlluu+++/LdRlbRyNreP//5T02bNk0PPfSQPvzwQ7Vv315NmzaVdGqK+YsvvjjX8xMTE4t8Pdo111yjDz74QK+88oqeeeaZXI95PB61atVKL774Yr7PrVOnTqH3ExYWpmuuuUbvv/++tmzZoscff7zAdZ9++mk98sgjuvXWW/Xkk0+qcuXKcjqdGj9+fK7vo+bNm2v9+vX69ttvNXv2bH3++ed644039Oijj+aZ5OLaa6/V+++/r2nTphVrUgoAKAkKEQDj2rdvL0navXt39rKCTjv67LPPdMstt+iFF17IXpaampprhizp1EH2pk2b8jz/zGVZkzVUr149eyTAWwYPHqxHHnlEK1as0PTp09W4cWN16NChRNts3769fv31V+3evTtXIdq4cWOuA/Dk5GTt3r1bffv2lXTqBrIHDx7UF198oe7du2evl5iYmGv7Wa/HqlWrCnw9GjRoIEkKDQ316mtWqVIlNWzYUKtWrcq1bMuWLXnWzRqZKawBAwZo5MiR2afNbdiwQQ8++GCudRo2bKjk5ORCfU6VK1dWv379NG3aNA0ePFjz5s3Tyy+/nP14mzZt9OOPP+Z6Tn6F+1zGjRunRo0a6dFHH1WFChX0wAMP5Mq7fPly9erVyyun6Q0aNEjvvvuunE5nvqOQWT777DNdfPHFmjx5cq7lR44cyTMJQmRkpG644QbdcMMNSk9P1zXXXKP//Oc/evDBB3Pd4+i5555TSEiIxowZo3LlyhV4uh4AlAZOmQPgM3Pnzs333f6s61yy3l2XTh1InVlypFPX55y5jVdffTXPiEFcXJwWLFighISE7GWHDh3Kdd1H1nrly5fX008/rYyMjDz7K8k9f7JGgx599FElJCQUenRoz549+Z4+mJ6erp9//llOpzPPCMxbb72VK//EiROVmZmpPn36SFL2aXo5X7v09HS98cYbubZz4YUXKiYmRi+//HKe1z/rudWrV1fPnj315ptv5iqxWc71mi1fvlwHDhzIs3zbtm1as2ZNru+Dhg0bat26dbm2uXz58gJPvSpIxYoVFRcXp08++UQfffSRypQpowEDBuRaZ+DAgVqwYIHi4+PzPP/IkSPKzMzMtezmm2/WmjVrNGHChOzrxrJUqlRJl156aa7/inuT00ceeUT33nuvHnzwQU2cODFX3l27duV7Q9eTJ0/qxIkTRdrPxRdfrCeffFKvvfbaWctbfj+Dn376aZ7rxg4ePJjr32XKlFGLFi1kWVaenzWHw6G33npL1113nW655ZZCX1MIAN7ACBEAnxk3bpxSUlJ09dVXq1mzZkpPT9f8+fP18ccfq379+ho+fHj2uu3atdNPP/2kF198UdHR0YqJiVGnTp10xRVXaOrUqapQoYJatGihBQsW6KefflKVKlVy7eu+++7Thx9+qMsuu0zjxo3Lnna7bt26OnToUPY76uXLl9fEiRN1880368ILL9SNN96oatWqafv27fruu+/UtWvXXPepKYqYmBh16dJFX3/9tSQVuhDt3LlTHTt21CWXXKJevXqpRo0a2rdvn2bMmKHly5dr/Pjxed6JT09PV69evTRw4ECtX79eb7zxhi666KLs+x116dJFlSpV0i233KJ//OMfcjgcmjp1ap4DW6fTqYkTJ+rKK69U27ZtNXz4cNWsWVPr1q3T6tWrs8vC66+/rosuukitWrXSiBEj1KBBA+3du1cLFizQzp07870nTZYff/xRjz32mPr376/OnTsrKipKW7Zs0bvvvqu0tLRcp2vdeuutevHFFxUXF6fbbrtN+/bt06RJk9SyZUsdO3asUK9nlhtuuEFDhgzRG2+8obi4uDyTRkyYMEEzZ87UFVdcoWHDhqldu3Y6ceKEVq5cqc8++0xbt27N9br369dPVapU0aeffqo+ffrkuj+Utz333HM6evSoxo4dq3LlymnIkCG6+eab9cknn2jUqFGaO3euunbtKrfbrXXr1umTTz5RfHx89uhrYTidTj388MPnXO+KK67Qv//9bw0fPlxdunTRypUrNW3atOyRwyyXX365atSooa5du+q8887T2rVr9dprr6lfv34qV65cvvv/8MMPNWDAAA0cOFCzZs3KniACAEqVqentANjP999/b916661Ws2bNrKioKKtMmTJWo0aNrHHjxuWZcnndunVW9+7drbJly1qSsqckPnz4sDV8+HCratWqVlRUlBUXF2etW7cuz7TFlmVZy5Yts7p162aFhYVZtWvXtp555hnrf//7nyXJ2rNnT651586da8XFxVkVKlSwwsPDrYYNG1rDhg2z/vzzz7N+TvlNu53T66+/bkmyOnbsWOjX6dixY9Yrr7xixcXFWbVr17ZCQ0OtcuXKWbGxsdbbb7+da1rnrOmZf/31V+uOO+6wKlWqZEVFRVmDBw+2Dh48mGu78+bNszp37myVLVvWio6Ozp72XJI1d+7cXOv+8ccf1mWXXWaVK1fOioyMtFq3bm29+uqrudbZvHmzNXToUKtGjRpWaGioVatWLeuKK66wPvvss7N+flu2bLEeffRRq3Pnzlb16tWtkJAQq1q1ala/fv2sOXPm5Fn/ww8/tBo0aGCVKVPGatu2rRUfH1/gtNs5p4fO73XN+n768MMP813n+PHj1oMPPmg1atTIKlOmjFW1alWrS5cu1vPPP5/v9PBjxoyxJFnTp08/6+ecU1Gn3c7idrutm266yQoJCbG++uory7IsKz093Xr22Wetli1bWmFhYValSpWsdu3aWU888YR19OjRs+bIOe12QQqadvuee+6xatasaZUtW9bq2rWrtWDBgjxTpL/55ptW9+7drSpVqlhhYWFWw4YNrQkTJuTKlXPa7SwpKSlWjx49rKioKGvhwoVnzQcA3uCwrHzOXwGAIDV+/Hi9+eabSk5OLtRsb/7uvffe0/Dhw7VkyZIijQbAO/75z39q8uTJ2rNnT6FuoAsA8D9cQwQgaJ08eTLXvw8ePKipU6fqoosuCooyBLNSU1P14Ycf6tprr6UMAUAA4xoiAEErNjZWPXv2VPPmzbV3715NnjxZx44d0yOPPGI6GgLYvn379NNPP+mzzz7TwYMHddddd5mOBAAoAQoRgKDVt29fffbZZ3rrrbfkcDh04YUXavLkybmmnQaKas2aNRo8eLCqV6+u//3vf2rbtq3pSACAEuAaIgAAAAC2xTVEAAAAAGyLQgQAAADAtihEAAAAAGyLQgQAAADAtihEAAAAAGyLQgQAAADAtrgPEQAEMc+exqYjBAVnjY2mIwAASgn3IQIAP0ahCQ4UKgDwXxQiAPARyg2KghIFAL5BIQKAEqDkwB9QngCg+ChEAFAAyg6CCaUJAPJHIQJgWxQe4DQKEwC7ohABCEqUHcD7KE0AghGFCEDAovQA/oOyBCBQUYgA+DVKDxD4KEsA/BmFCIBfoPgA9kNRAuAPKEQAfIriA+BcKEoAfIlCBKDUUH4AeAslCUBpoRABKDGKDwBTKEoASopCBKBIKD8A/B0lCUBRUIgAFIjyAyBYUJIAFIRCBEAS5QeA/VCSAEgUIsC2KEAAkBsFCbAnChFgA5QfACgeShIQ/ChEQJCh/ABA6aIkAcGFQgQEOAoQAJhFQQICG4UICDAUIADwbxQkILBQiAA/RwECgMBGQQL8G4UI8DMUIAAIbhQkwL9QiADDKEAAYG8UJMAsChHgYxQgAMDZUJAA36IQAT5ACQIAFAflCCh9FCKgFFCAAAClgYIEeB+FCPASShAAwJcoR4B3UIiAEqAEAeeWYbnV5JvRSuz/liQpzcpQiidD2zJdWp0eraSMisrwhKhq6HE1C0tSeUeaznNl6K7tV+mTBj8bTg8EBsoRUHwUIqAIKEDAKWlWhjZlZOqXlCb6bm8r7Z9aTxU3p6rMpr2y0jMkj1tWeoaskydlZWaWfIcOh0Kia8pdvZLSzotQZlmnPCFSs3tWa3LdP0q+fSDIUJCAwqMQAedACYKd7XOf0JyU2ro+6qDWZaRpQof+cu/fbzrWWTkuaKlGb21S/0p/ySOnekekmY4EGEU5As6OQgTkgxIEO0v2pOqS5TerUr/gOojaNPUCLej5mqq7IpWYkayY0CjTkQCfoxwBeVGIgL9RgmBHM09E6J+LblDtj0IV/u1i03F8at/YLjrSMlPXdV6ip8/7U5IU6nAZTgX4DuUIOMVpOgAAAAAAmMIIEWyNUSHYxe7MZE3YeYU2Tmquyl+ukuf4cdOR/IvDkf3hzgditWjsi4pyhhsMBPgWo0WwMwoRbIcSBDvYnZms+3f11aaXW6jcxwtNxwlYjgtaavsVFVS9W5K+bfERJQm2QDmC3VCIYAuUINjBzyddGvfeSMW8vVmZe/aajhN8HA7JsrTppc7afMMk02kAn6AcwQ4oRAhalCDYRd9m3eU+dsx0DNtxhIVp360X6q9HJpqOAvgE5QjBikKEoEEBgl0ccJ/Q9esGqez4cLlXrzcdB5JcTRtp939DtKzDR6ajAD5DQUKwoBAh4FGEYAfzUj26/YM7Vffx+XKGh8uTmmo6Egrgat5Y7tdO6h/1flK/CL5OCH4UIwQ6ChECEiUIdnHBU2NU/Y35pmOgmELq19WxC2rq99ffNB0F8AnKEQIRhQgBgxIEO4n5boRiPrUU+sOfpqPAC5yRkTryWQ392GoaM9XBNihHCBQUIvg9ihDsYEV6qgZ8c5ea/XuL3Pv3m46DUuRs3Uzb+lfW27e+pq7h3B8dwY9iBH9HIYJfogTBToZv76akztwo1Y72fNVcyzvOMB0D8BnKEfwRhQh+hSIEu2jw461q/uh+ZW7bYToK/EDG5e2VfNdRzWkzlVPqYAsUI/gTChGMowTBTu7f21YJF5hOAX82cO0eDSufJJeD0+lgD5QjmEYhgjEUIdjF58nl9cKjg1Tuo4WmoyCApPXroA8mvqS6IVGmowA+QTGCKRQi+BQlCHayz31CneeOU5NbV8jKzDQdBwHIVamSto1urikjXlHHsFDTcQCfoRzBlyhE8AmKEOymT9Nu8hxnogR4j6t5Y33503SFOShGsA+KEXyBQoRSRRGCncTMvl0xH4l7B6FUebpdoE03hSpxwFumowA+QzFCaaIQwesoQbCjDg+PVuV3F5iOARvZ9UAX3TfsEw0tf8B0FMCnKEfwNgoRvIYiBLvJsNy6olY70zEAxSclmI4A+BzFCN5CIUKJUYRgNw/tba2lFzAlMvyL56K2Ov5Qsha2/cx0FMCnKEYoKf6io9g8expThmArv6VKnR4YTRmCX3L+kaAKfTep5WtjtCHjhOk4gM9wPIKSYoQIRcYvHdiN2/Lo6k19ldZjj+koQKFteqmzVl7/P0U4y5iOAvgUI0YoKgoRCo0iBLuKi25rOgJQbM9tXajWZcJNxwB8jmKEwqIQ4awoQbCrXkNuU8icpaZjAF7hCAnR7nEdtXzCG6ajAEZQjnA2FCLkiyIEu4r5/nY1uY37CCF4bX0qVutvnWg6BmAExQj5oRAhF4oQ7GrEjq7aFRci95GjpqMApcoREqKDN3dQ3/G/6Ylqq03HAYygGCEnChEkUYRgXxmWW80+HqtGdy80HQXwua1PxWrkgHjdXXmL6SiAERQjSBQi26MIwa4yLLea/3qbGg5ZKXncpuMAxiQP7Kya4zbps4Y/mY4CGEMxsjcKkU1RhGBnM09E6PXGTUzHAPyKs01ztX5vrZ49L8F0FMAYipE9UYhsiDIEO9qdmaxLFo2WJNW9fqXhNID/8vxcR9OafCRJqu6KNJwG8D1Kkf1QiGyEIgS7GpR4sfY+0oBptIHC6thKktT49Q16IfoPhTlCDQcCfI9iZB8UIhugCMGujnpO6pJ/362qby0wHQUIWOlx7fXmW6+oSSijRbAnilHwoxAFMYoQ7MpteTR8e08d6OuS+/Bh03GAgJdxeXu1+M9KvVZrkekogDEUo+BFIQpCFCHY2ZhdnZXwQluV+4hptAFvc7Vsqi4zluvhqutMRwGMoRgFHwpREKEIwc7clkc9/jFa5X5YI8/x46bjAMGrYysduCBK3z/8PJMuwNYoRsGDQhQEKEKwu97r+sm6ZJfpGICtJA/srEGPf6exFXeYjgIYQykKDhSiAEYRAqTeV90s689VEr/KAJ9zhIUppXcb/TbxLdNRAOMoR4GLQhSAKELAKXHRbU1HACBJTpfidzKtPSBRjAIRhSiAUISAU9amp2h8/S6mYwA4wz82rVO/iFTTMQC/QDEKHE7TAVA4lCFAOuA+oca/DKMMAX7qf42aKWbW7VqRTikCOHYLHIwQ+Tl+mIBTXj5cX188dLnKfr3YdBQA55D4TKyadUnUzMazTUcB/AKjRf6NQuSnKELAKfvcJ3TtXXcr4gtuCAkEEkdIiDZOaaVxF87V+EpbTccB/ALFyD9RiPwQZQg4pfmkMWrw7jZl7mRKbSBQhTSorxOTpF/O/8pojn3uE6ruitRvqVL38FPLcn4M+AqlyP9QiPwIRQg4bWGqW481aGc6BgAveTpxsdqFlSnWc38+6VKvsm41eW+0NgybqH4Xxum7v+IVF91WYb/WUFqPPZKkfWO7qPrr8+Vs3UyeFetKnDmkxnnK3LM3+99Z29/+aSvVvX6lntu6UBPqd1Z8UoLaPzpaf/57ooZu664P6v1W4n0j+FGM/AeFyE9QhoBTUjzp6rp0qKpfVfKDGQD+pe6iSL1W+xeFOUJzLX/uUENNqLxZlwy9TXM+mKy46Lba9GJnNbp7oaGk3uPo0ErWkpU6MbuBIntvUXxSglq+Okarx71hOhr8AKXIP1CIDKMIAafFrb1CISNClLllq+koAEpJWr8OCvtuifRzbanXTjlCy8jKSDcdy6/EJyXoohXX6I/WX5iOAh+hGJlFITKIMgSc1uWfo1Tu48B/NxgAvC3j0nYK/Wmp4pMS1O6J0Uq9/JhWx04zHQteRikyh0JkAEUIyC0uuq3pCAAQ0NL6dNC2AVLilW+bjoISohj5HoXIxyhDwGmvH6mjz/9xuUJ/Wmo6CgAEpYO3xarK5AWKT0rQUwea6eGqXJ8ZCChFvkUh8hGKEJBb7/5DZP25ynQMALCdk1d11P4hJ7W261TTUXAOFCPfoBD5AGUIyK1v615yHzhoOgYAIKefa8t6pIp++Ox900mQA6Wo9FGIShFFCMhtdkqY/nPfMEV8sch0FADAOYTUrKHM3XsUn5SgSUdqaVRFbpJtEsWo9FCISgllCMitzbNjVPvjzblucggACCz77uwiSar+2nzFJyWYDWNDlKLSQSHyMooQkNfitAw9EtPBdAwAQCmpvTBKq15vpUXPTjQdxRYoRt5FIfIiyhCQ1wVPjVH1N+abjgEA8LH4pAS9eKiB7q68xXSUoEQp8h4KkZdQhoDcUjzpurpOJ4lfMQBge0kTuij6OU6z8zZKkXdQiEqIIgTk9dDe1vpi5kWq9xgjQwCA/LmaN9bWJ8O0psuHpqMEPIpRyVCISoAyBOT1xP4Wmt+mjOkYAIAAdM+m1bo8IsN0jIBEKSo+ClExUYaAvN47Vl0zmkWbjgEACALunheq8lPb9EmDn01HCRiUouKhEBURRQjIX+9+g2UtW206BgAgSIXUr6vv5s80HSMgUIyKhkJUBJQhIK+fT7p096sjVeNlrhcCAPjO7q+aa0XHGaZj+C1KUeFRiAqJMgTk5bY8ajpjjBreu9B0FACAjblaNJF7zQZmsTsDpahwKESFQBkC8hcX3dZ0BAAA8kU5OoVSdG4UorOgCAH5c1seXdnyYrmPHDUdBQCAc4pPStBXJ6I0IDLZdBRjKEYFoxAVgDIE5K/Xmv4KuXyX5HGbjgIAQJGF/lJTqzfXUmKfd0xH8TlKUf4oRPmgDAH5u3NXJ23skGY6BgAAXrHjX11UfqtHC5+bZDqKz1CK8qIQnYEyBOTv2YONNadVpOkYAACUCiu2jUK27NasZT+YjlLqKEW5OU0HAAAAAABTGCHKgdEhIH+Npo9iam0AgO0E80x1jBKdRiH6G2UIyF+T34Yq5sYVpmMAAGBUMJYjStEpti9EFCGgYM3n3ay61680HQMAAL8SbOXI7sXI1oWIMgQU7OLht6tM/J+mYwAAEBACvSTZuRTZthBRhoD8bc9M1tCR/1TY90tMRwEAICAFajmyaymyZSGiDAEFa/nqGNV+Zr7pGAAABIVAK0d2LEW2K0SUIaBgfXrfKM+KdaZjAAAQlAKlHNmtFNmqEFGGgPwtTsvQvePHquzXi01HAQDAFvy9HNmpFNmmEFGGgIJ1eHi0Kr+7wHQMAABsKfK3avqi0Y+mY+Rhl1Jki0JEGQIK1rdFD7mPHDUdA3bidEked/4PRUTIk5Li40AA4B88PS7QC+9PVOsy4aajZLNDKQr6QkQZAgrWu257WZmZpmMgiDg6tJK1ZKV23d9FtZ6dr5DatZRZu4pcB5M19Nu5eu6FG/X6A6/p1inj5A6zFJLikCdECj8opdSw9OQN0/X804M05oHP9enFFyqtWbTCNu6Ve+9+nbjiAkV8uUiupo3kXr/J9KcKAKVq50NdlFI3U4n93zIdJehLUVAXIsoQkD+35VGvESMVNouptVF0rmrV5N6/X1v/E6v6jyxW/M6lavXyGCXHZCrxqrf0xP4WeqzaGu3OTFbNkChJUoblVqjDVaT9uC2P0qxMRTjLKNmTqihnuBanZahdGZfaLh6isO8qqM3tK7W7T6h2D26u6q/NlyMsTFZaWml82gBgzInZDXRlrZW6v4q5YhLMpShoCxFlCChYv4sGKHPLVtMxEAgcDsmytHdcF9X446he+vJtNS8Todu2X6TJdf8wnS6XhaludQ536cVDDfTj4E461qS8yn25VM6oSE4LBRA0PtoxX5VcEUb2HaylKCgLEWUIKNglQ29T6E9LTceAP+vcWukVw1T/8XW6t8YPalmmrOlExZZmZWhVuqVfTzTTV/+6VGWOZsr1y1+mYwGAV5iYqS4YS1HQFSLKEFCwTg+MVsUPmE0OuTlCQpTZrbV235mm1bHTTMcpNZ0njFKFaQtNxwCAUuOrghRspSioChFlCCjYBUtuVPWruOkqThWgf288VYyHLLpNG7p/YDhR6bpoxTWK7L3FdAwA8JmQBvX13R9fleo+gqkUBU0hogwBBWvz3BjVeGm+6Rgw5e9prqvNr6gwZ6bfXftTWhp8MVJVlzhV6X1GRQHY0+FbYnWgg0dbrnmzVLYfLKUoKAoRZQjIX9Pfh0qS6t+4Ugr8H3UUw4aJHZV4lfkpW33pqOekBtaONR0DAPxKtfkV9Xrd71XB6d3rQoOhFAV8IaIMAfkbsrWn9nc5YjoGDEjr20GVH9jql3c9L21x0W1NRwAAv7d/ZlP91f5jr20v0EtRQBciyhCQvxavj1Gd/3CKnJ04QkJ0aEgHLX56oukoRlz45GhVm8ipcQBQVN6aiCGQSxGFCAgynyRX0JS2LeVJSTEdBT5i8p4Upk07XkUfNK1jOgYABDxXlcraf1VTLXmqeG+sUYh8jCIEFIxThuxh08udZVVO15ZL3zUdxYi+rS6R++Ah0zEAICi5qlTW0PnLdGO5w0V+biAWo4ArRJQhoGCUoSDndMkZGaGP1v7g9YtiA0WzP25WvYErTccAANvY9kkrrbtoapGeE2ilKKAKEWUIKFjveh1lZaSbjoFSkjywsz587nnFhEaZjmIMhR8AzCrK9UaBVIoCphBRhoCCdXxotCq9xwXlwSikXh19t+Ab0zGMaTpltGK+PC7rz1WmowAAcihMOQqUUhQQhYgyBBQsbsDN0mJOIQomjtAyOjS4nQ5dlqpNF08xHceYO3d10sYOaaZjAADOIuWaTvr9tYJv/BoIpYhCBASo7ZnJuvTDCYp5iJGhYOOtKVADVd8LLpd77z7TMQAAReA6r7ok6Z75P6tXWXf2cgqRF1CGgPx1XXGNonpvMR0DXrTx9U7acnXB77IFu/4beyutxx7TMQAAXhD2aw3NbDxbkv+XIr8uRJQhIH8XjRupyM8XmY4BL8js1U77x6XooeazizW9abBgwgQACF7xSQl+XYr8thBd5rxeleZV1kcxc0xHAfzKbdsv0u5+ZbgHSxDYMKmjEvu/ZTqGMTcmXqLDXfk+BgC7+NHzqekI+XKaDnA2h7seUqNfhml7ZrLpKIDf2D6hMWUoCMzctcTWZSguui1lCADgF/yyEF3mvD7744aDEjSi7kUG0wD+o0+jLnL+vsx0DBSTs1w5HRgZq0tWnlCYI9R0HJ977lBDNXlvNKfHAYBN5TzG9yd+d8rc2V4ou8+8BHtr/9hoVXmbGeUCVdK9XfTbXc+rkivCdBQjKEEAgCz+duqcX40Qnas1Npwz3EdJAP/y6uF6lKEAdnRWI628+w1blqGGc4ZThgAAufjbSJFfFaJzaTRkmRp/ONp0DMDnvm1ZyXQEFNOXOxdrYdvPTMcwIi66rRoN4RRPAIB/85tT5orSFHff3UWS1OmG5Xq7zrzSigQYd9naKxUy4Ig8x4+bjoIicjWK0azfvjQdw+dG7OiqRR+3Uc0X55uOAgDwc/5y6pxfFKKSDJsd+76hFrT53ItpAP+wIeOErp40QbWf4cAykITE1NPW56O0Onaa6Sg+x6lxAICi8odSFFCnzOWnfJ/N6tvLv85DBLxhfJ/hlKEA4oyI0L6xXfTOr9NsV4a4TggAEMiMjxB566IqV/nymrXuN69sCzCt9fNjVPOlBZL5AVwUgqtFE93x9SwNiLTXPdP6Nusu97FjpmMAAAKc6VEio4WoNGaYYGpuBLq+6/tKI8vKvWGz6SgohLR+HfR/r05S53CX6Sg+89yhhvrp/HKmYwAAgojJUhRibM+lJC66LaUIASsxI1nui5NMx0AhHf6usWa1fllVXZGmo/hE5wmjVGHaQtMxAADwKmMjRKU9/zilCIEmMSNZd/YYpMyt201HQSG0W+bR0+etMB3DZ7hGCABQ2kyNEhkpRL68GRPFCIGi9QtjVPOlRZLHbToKzsbp0ttbf1XdkCjTSXwi7pqh0kL7FD8AgFkmSlHQnTJ3Jk6hQyAYv7u9ar7AjHL+zhkZqW83/C6XI/jL0OkRIcoQACC4+XzabV+ODmXhVA/4s5YLBmttu0zTMXAOrooV9P3GeXI5Av5uBWf1y0knvzMBAMaY6ApBP0KUJesPPKNF8CcbMk6o3gMnxUly/i3lmk76/bU3TccoNffsvlA/zOis6OcZpQQA2I9PryEy0fjyQymCv2g6ebTqP7LAdAycxb6xXbTsX2+YjlFqGA0CAPgjX15LZJsRopziotvq2PcNtaDN56ajwMa63TlS9b+gDPkrZ2SktjzUWuuHB18Zil1+rZxTqkmSosQ02gAAe/PZCJG/jA7ltPXj1lrf7QPTMWBDI3fGamvHk6ZjoACuqlV06INKWtj2M9NRvKr3VTfLWrLSdAwAAArFV6NEwX118DnUv2GF+nW9Spszkk1Hgc2sf/x80xFwFjW/TQu6MhQX3ZYyBABAPnwyQuSPo0M5OSMjNTJhuQZEUoxQ+lotGqToq9eYjoECVJlXSdNj5pqO4RVfnYjSm23byHPihOkoAAAUiy9GiUq9EPl7Gcqp24pUPVx1nekYCGJDtvbU/i5HTMdAAc5f6tQLNf8yHaPELnh6jKq/xoxxAIDgUNqlyNanzJ3p99bhGpR4sekYCFJuy6PVH7YwHQP56dhK3VakBkUZGrK1J2UIAIAisOUsc2dzsOthxaktU3PD61490kDV3+BA1d9YsW00/ZM3VNUVaTpKiVwy7HaF/vCnpCOmowDwguM3dJbllFwZlsocyVRISqZcx9KkxB3Zp8Feu3afPm9eXZK06eXOajSeWSOB4ijVU+YC6XS5glCM4A0dHh6tyu8yxba/sWLb6IfP3zcdo0S4jxAQnByhZbTp/y7UppsmlWg7scuvzb7NSL8OfXXznAWavPMiOXvt8EZMwGdK87Q5ClEh7Hiki9aMDr57kcA3nj7QVL8PukCeVVyf5k9cjWI067cvTccothYTx6jOk4w4AsEsvXcHvfvmS4oJjfLZPjMst+5K6qqlr16gKt9vknv/fp/tGzibgCxEwVKGshy4I1ZLH59oOgYCUMzs29Xk1j9Nx0AOIbVr6bvF35mOUWSXrb1Shz6urapvMdoI2MWGd9prZe/XFOUMNx1Frx+po+cXXS5JSoybzAg1fK60ShGFqIg4hQ5FcdRzUgNrx5qOgb85IyIkSd9vCryRFQ48APt6butCtS5jvhAVRlx0W239T6waTj8k9+r1puMgyARUIQrWMpQTxQjn0jnhOlXou8l0DPwtpH5dfTd/pukYRdZo+ig1vJcLpQE7czWK0dDvftGN5Q6bjlIs9+y+UN9/2Vn139zIKXgosdIoRRSiEqIYoSCnZ/2Caa6KFTRrza+mYxTagI1xSvyqoWq8FHgjWQBKx5GhsZr79CuKcJYxHcUrGv48XDGTHdoxOlP1b1hhOg4CSEAUIjuVoSybp12gTRdPMR0DfuSHlFC90Kil6Rj4WyC9ccGpcQAK8uiWv9Q1PHhvIXnZTcO1aZhTzV5OkWf5WtNx4Me8XYooRF6y9alYrb+VSRdwCge1fsLp0pfbFwTEO6pNp4xW/X8xWQKAgoXUitYXi79WmCPUdBSfafXSGEU/x2g5cqMQ+blAeica3rc9M1kj+98hT8Ia01Eg//95bLVokKKv5nsFQOEdGBmrzx56zqdTcfsb3nSEXxciu5ehnLb8X6w2DmXEyG76ru8rT++DstLSTEexPX+flYk/6ACKI6RmDd0/b7a6+++vN5/6ISVU97w5glEkG/JmKQreE1ENa/DAAnV8cLSa/DbUdBT4iNvyaNdX9SlDhrlaNlX/NQf9tgx1fHA0ZQhAsWXu3qPxz43W7sxk01H8wuURGVr5zzcUn5Sg+KQEHRh56lYXjpAQw8kQSBgh8oF/bUngnRwb6NOoizwpKaZj2FpIzRrq/sNm3V9lo+koubR4fYzq/Id3LwF4T0iD+vruj69Mx/B7S9PS9VBMR9MxUAq8OULktUJEGSocf7+mAcXzwbGqmt6qgayMdNNR7MvhUPL3MZrX+gvTSbJlWG5dUaud6RgAgpAzMlJvrIm39bVERdVz1QBFjC+j480qKeKLRabjwAu8VYo4ZQ4AAACAbTFCZMCxQZ214PlJpmPAiy4ddKtcv/xlOoat7Xiki9aMfsN0DElS7L2jVOHTvxgxBFCqXC2a6JsfP5LLwfvbxcU1nYGNEaIAVn76QvVtc5meOtDMdBR4Qezya0UZMiskpp5flKG+bS5TXHRblZ++kDKEoBaflKC3t/+hw8NiTUexNfeaDdrn5trVksiajOHorEZynVddzvM5NrMjr4wQMTpUMlxXFLh2ZibrtroXmY5hez1WnNRDVdcb23/M7NvV5NY/je0f8IWb1iUpMa2anqi2OnvZkK09dei2anKv9a+JTOzEVbWKZq342XSMoPPeseqa0SzadAwUgjdGiShEfmTDpI5K7P+W6RgopMSMZI29fJjc6zeZjmJbjrAwrX+ttRL7ve3zfcfMvENNRi32+X4BXzo2qLMm/ucVtQ0LK3CdmG9HqNk96+Q5ftyHyZBT8sDOmvcyp+KXhoS0NI3+110qP32h6SgoAIUoCJ24tpN+/t9rCnOEmo6Cc2g0bbQaP7acqbYNSnw6VhuG+fYGyJxvjmBXnLMWel85WNbS1edeEaXCdV517XyzilZ0nGE6SlBLzEiWR9KYepwZ4k/8ohBRhkoPp9L5t04PjFbFDxaYjmFb6b07aO67vhkZ+i4lXK/cfIMcC5b7ZH+Ar5X0fnluy6Oe40YzlbFBu+/pohX3mL+W0k54g8x/lLQUUYgCgKt8ec1a95vpGMjh8uuHyTEvwXQM23KEhGj29tK/Zqdvs+5yHztW6vsBfC2kdi15qlbQJR8u0oTKm72yze2ZyRrd8Vpl7tnrle2h6Lb8X6w2DvXtqDlOee5QQ80Z0knOA0eVuXOX6Ti2QyGyifTeHXSgVahW/pN3f0ybnRKml5u3YRYxQxxhYZqdWLrvQi9Oy9AjMR1KdR+AKaV59sHq9JO6uz4zz5niDA/X8a+i9Ycf3aDarlrMH6I6160yHcM2KEQ25JobrVlNZ5mOYVu9+w2WtYxz5U0pjYO5D45V1Ue7O8rqc0ie1FSvbx8w6cAdsUqJdmjtHb55Q23miQi93riJT/aFvDb+r5N+G/CCaodEmY4CSc3fGqO6j883HSPoGS1ElCHztj4Vq/W3MjzuK60WDVKd2/fIffCQ6Si2lPZDff1y/lde3SbngCOYpce119wp7/h8v+2WDlTVKzf4fL+Q5HCo3V9uPX3eCtNJkMPq9JO6c+Q4Razfp8yt203HCUolKUUUoiDgLFdOkpT5VUX92Pwbw2mCW8tXx6j2M7zTY8LGVzpr1bX/U4SzTIm3ddnaKxUy4AjTBCMobXizgxKv9P1U9DnNPBGhpx8fqgrTmKrYhMT/i9UGriXyazHfjFCTkUtMxwgqFCLkUtLZgpC/1s+PUc0XKUMmONs017ezpsnlcBZ7G4wEIdilXtFRv77lP/eye2J/Cy2+qhHvhhuyf1Ss/nqUUuTvetxxh8K/5Z523kAhQoE2/q+Ttlz3pukYAe/1I3X0bfs63HPIAGd4uCr8HKGPYuYU+bkNPhupsEMuzt9G0Ep8JlYbbvHPg96dmcnq9u3dav7IJk4zNiCkTm29P/9jVXVFmo6CQrhgyY06saaSYh7kdh7FZaQQUYYChyO0jJI+bagqkSma2/Jr03ECToblVu+b71DInKWmo9hS0oQuRZ5dkdEgBLuQ2rV05Q8JGlXRv6f3TfGk6/yvxqnxndyfyITDt8Rq8TP+WZhRsElHamnihu6qMWCt6SgBp7ilKMTLOeCHrIx01fz7h+q63y9VhdBUTa77h+FUgSV8415lmg5hQ87zm+m9MS9LOvt1Q7dtv0i7xtaTMzlN7vWbfJINMOHbXUsV6nBJSjAdpVAinGV0Ree/tKH9+bL+ZApiX6uwNVXJnlRFOTmPPpCMqrhLozrOkJJ4g89Xin9CPgLS8W4HtLNzsuKi2+qym4abjhMQWk69U5k7dpqOYUt7n7bULqzgMhQX3VZx0W21s3OyrKWrKUMIWhsmdVR8UsLfZSiw/C96ibb3Li9HCO/B+prz12XqtOg20zFQAvFJCYpPStCGSR1NRwlqnDIHeXpcIEeGRzVeSNQH9X4zHcevJHtSdW3tzqZj2FJ+p3oM3dZde+6JkRXqlPPXZYaSAb6xeXpbber5nukYXtP7ysGylnIPNxNe3LpALcuUNR0DXvDW0Wj9d9nlajgowXQUv1TcU+YoRMjF1aShDr8iLWjzuekoxi1Oy9BjLXswkYIBITXO03d/xWf/O3b5tSrfZ7PBRIDvhNSK1ndLgu/m2xmWW1c26CIrLc10FPtxODRt+x9MsBBkvjoRpYmNG5mO4Ve4hghe4d6wWeX7SHFqK+nUUK1dfXq4I2XIkG3DGp46b9rhkCxL5UUZQnBzVaqkwQtXaHC5gwqU64OKKtTh0sV/HtKcVhyUm5BS/EmF4acGRCZrQFKC2j0+WlXfYna6kijWCBGjQ/Z0dHBnLXxukukYPrE0LV33jBmrsO+5aRqA0mW3N54GJV6sg10Pm45hO2l9OuiXyWZv2IvSF3vPKJWfYe8bIhdnlIhJFVBoFaYtVFx0W/Vtc5niotuqxcQxpiOVmvjjrRTx51bTMQAEKU+PC7Tppc62K0OS9HLdb5U0oYvpGLYTsemgrtl0mekYKGULXpiUPRGDp8cFpuMEDEaIUCLHb+isigkHtOGxqKC5+DfFk64rh47mvkMAvG73PV204p6i3VcrGI3cGattIxvIWsYkC760YWJHJV71lukY8DG7Td3NCBF8rtzHC+Vev0kNByUoLrqtLr51hLqvvFrSqdPOAlHfkWMpQwC8bsOUdpShvz1S40ft6F3BdAzbaTJ6sRp+NMp0DPhYfFKCNkxpZzqGX2OECKUq7Yf62rMgWv++aZoGRh01Heec4tZeIdeoMnJv3GI6CoAgkDShi1b+kxKUn97r+sl5/Um5Dx4yHcVWXFWr6L1lM1WdGedsq9VLYxT93HzTMUpNcUaIKETwqYMjYtVk2DpNj5mr14/U0diKO0xHyqX9I6NVZTIztQAoOTteH1QUaVaGLlo2WFVv2i3P8eOm49iKnSZJwtkF4+l0nDIHv1fl7QU62PWw4qLbamaLKmrwxUj9lirFzL5da9PNTnG9OzNZ4Uc9RjMACGyHb4lV8uwGlKFCCHOEam7bD5R5IfdR8bWT1Z1KzEg2HQN+gN9VpzBCBL+TcWk7Jd7o0DsXT1Gvsm6f7bfxB6PV4AFGhwAU3Y6Hu2jNGE6NK46WCwar9rVMruBr5X6vqs8a/mQ6BvxIizfGqM5TgX8qHafMISiF1KujzG2nTq0rrXcyVqSnavR94xX1ib3n7gdQdLzDWnL9Ol2hzB07TcewlfTeHfTGpFfUvEyE6SjwQ3363CTP8rWmYxQLhQi2k3lJO+24vIzaXrRBM2J+lMtRvLNAL1t7pZy9/Ot6JgD+i5tcetcB9wkNrtPVdAzb+WTnAlVwljUdA34sEK8xohABOTjany/rz1Xqs/qIxlfaqmZvj1FYm8Na3nFGrvUyLLeuqMV0lADO7fylTr1Q8y/TMYLSRSuuUWRvZvj0KadL8Tu5zQTOrtMDo1Xxg8C5pIBCBBSCIyxMVlra6QVOl+Tx3bVKAAITp8aVrqOekxp00Q3K3LrddBRb2flQF62+k+vfcG6Tj9bQJ81rmI5xTswyBxRCrjIkUYYAFMzp0r+2JFCGfKCCs6xujv/ddAzbqT+da7dQOLdV2KP4pOD8fUghAgDgDBtf73TqD//OpeoebjqNfdxY7rA2vNPedAxbydy6Xa1eHmM6BgJMfFKCXFWrmI7hNRQiAAByiE9K0Jar3zQdw7aGdZgvZzgt1JeqrM7gvkQoslkrflZ8UoI2TG4vV4smpuOUSIjpAAAAmORs20Ib7g2TJG2+ZIrhNLiuwlL9HjtWrrlMXuEr4T+t0KLUOooJPWw6CgJQYp93pD6n/x2IM9MxQgQAsCVHh1aKT0rQ97Oma/MlUyhDfqJlmbLq9vJCeS5qazqKbVhpaXpn5NVyWx7TURAE4pMS5OjQynSMIqEQAQBsJz4pQbO/nmo6BgrwWLU1SuoWITkcpqPYRtjmfZp0tJ7pGAgSs7+eqvikBO38vKXpKIVCIQIA2MauL1oG5QxJwei6G39VSAwH6L6SuWOnFhxpaDoGgszq2GkB8TuXQgQACG6dW2dPFbuq8zTTaVBID1VN0IGuNU3HsJVDt1TWzkwmV4D3+ftoEYUIABC04pMSFP/FB6ZjoBjCHKHa19UtR2gZ01Fsw71xi/r9NcJ0DASprNGi+KQEOdqfbzpOLhQiAEDQcbZpHhCnaeDsEvu/pb0juS+RL2UurqS16SmmYyDIzZ75oV/9jqYQAQCCxsb32p2aOe77GaajwEsq9E+SIyzMdAzbqP30fC1Pq2U6BmwiPilBG99rZzqGHJZlWUV90mXO60sjCwAAxeJP7zTC++KuGSotXGE6hq3wMwUTvHEPox89nxb5OYwQAQACGgduwW/TwAjTEWznraPRpiPAhja+1kmuihV8vl9GiAAAAccRWkavb5qjhqFRpqPAR/q27iX3gYOmY9hG5iXt9POHk03HgE1tzkjW2EaXyMpIL/JzGSECAAS17Y91OXVT1W2LKUM2M2rBAtMRbCVkzlImV4AxDUOjNHvbYp/tj0IEAAgI8UkJWjvyDdMxYEj/SA7OfW302LtMR4DNZU3TveuBLqW6n2IVouIMRQEAUBx77urCdUKQJA1et9N0BFsJ+26J6QiAJGnVP94o1N+B4nYURogAAH6p9V8OxSclaPn9jArhlKHlD5iOYDv3721rOgKQLT4pQa3/cnh9uyFe3yIAACXEiBAKsmFKOzUZvtR0DNtYOaix9HOC6RhAtudqLJOSTn3sjWm6JUaIAAB+4uRVHRX5WzXKEM5q9WUTTUewFffajfroeCXTMYB8Rf5WTSev6lji7RRr2m2JqbcBAN6RHtdec6e8YzoGAkiDL0eq8dhFpmPYRtM/Q/W/aK4ngn+Li25b7GuIil2IPHsaq83im1RjwNpi7RgAAEaDUBwT9lygFRcW6/AFxTR1xzxVd0WajgGclbPGxuI9ryQ7XN5xhuKTErTjs/PluKBlcTcFALCZHZ+dTxlCsT1UbZ7UubXpGLYSKu9fyA54U3HLkFSCESLp1CjRmbx1cRMAILg4z2+m73/4yHQMBIkW84eoznWrTMewjU0vd9bmgZNMxwAK5FeFKAvFCACQhdEgeFuyJ1UDLx4k98YtpqPYgvP8Zvp09nuKcoabjgLkqySFqNRmmcu6sywAwL5cjRvwtwClIsoZrsSbapiOYRueVevU6rtxpmMApaJEhagwTYxiBAD2s+Hd9opPStCsX78wHQVBrHKXPaYj2EqTKWnKsNzKsNymowC5lGR0SCrhKXPS2U+byw+n0gFA8OINMPjStONVNHVQb1lLV5uOYhs7Pz81idbq2GmGkwCnlbQQ+fzGrPFJCdr4/oVytWzq610DAEqJq2VTbXz/QtMxYDODyx3UoX+nm45hK9XejVC1dyNMxwC8yucjRGfq3W+wrGW8swMAgchxQUvN/o53imHO60fqaGaLKqZj2M6Dm1eoZ1mP6RiAJD84ZU4qeSmSpMuvvUWOBctLvB0AgG9wehz8weK0DD3apKusDEaKfGn/6Fj99chE0zGAEpchycApcwX54fP3FZ+UoBOzG5iOAgA4ixOzmTkO/qNjWKguXJxqOobtVJu4wHQEwGv8ZoToTAM2xmnP2zGq8OFCr28bAFA0R4d01sL/clNG+KdkT6qurd3ZdAzb4Y0R+ANvjBB5pRBJpVOKslzwnzGq/vr8Uts+AODsOPCBPzvqOamBdS+SPEwH7Usvb52v5mWYYAHmeKMMSX50ytzZLPvXG4pPStCOf3WRnC7TcQAg+Dld2vGvLtxLDgGhgrOsXI3qm45hO1d/cI/pCIBXhJgOUBRrxr4hjZXSrAxJ0jVdr1Xm1u2GUwFAcJm5a4nCHKGSlpqOAhTazivOU80XN5uOYSv1v0nWgeEnVNUVaToKUCIBMUIEAAAAAKXBa9cQSaV7HdHZXLTiGkX23mJk3wAQLDzdLtCPH08xHQMolgzLrStqtTMdw3Y2TGmnxLjJpmPAhrx1/ZAUJCNEf7T+QvFJCWr9l8N0FAAIOK3/cig+KYEyhIAW6nAppF4d0zFsJ2YGx14IfAF1DdG5PFdjmZQk/ZYq/adBW9NxAMBvOcPDJUnfb+HWBggex9pFK2LbDtMxbCX0p2VyWx65HEHxHjtsyqunzEnmTpsrSFx0W9MRAMBvHJ3VSAvbfmY6BlAqms+7WXWvX2k6hu1UmVdJ02Pmmo4BG/Hm6XJSkJwydzZMGQsAp8QnJVCGENQebPW95OAULl9b+VVz0xGAEgn6QpQlqxi5mjYyHQUAfMbVtJE+37mQN4ZgCy3DknTi2o6mY9hO7dcT9PNJ7hOJwOX1U+Yk/zttriCcTgcgmFGCYEcNPxmlRuO5Ns7XNr3YWZtvnGQ6BmzA26fLSTYaIcpP1qiRFdvGdBQA8Aortg2nCsPWbugxP3vSEPiOVTnDdASg2EplhEgKnFGinFq/MEY1X5hvOgYAFAslCJAOu1M0qOml8qSkmI5iK64mDTVjzoeq4CxrOgqCWGmMDkk2HyE604p73lB8UoK2f9pKB2+LNR0HAM7p4G2x2v5pK8oQ8LcIZ6jW/7eV6Ri2496wWa8fams6BlAspTZCJAXmKNGZGvx0qxoP/ct0DADIgxIE5O+pA830e2tOm/O11Cs66te33jIdA0GqtEaHJEaIzmnLpe8qPilBN61L0qapF5iOA8DmNk29QDetS6IMAWfRPWqd6Qi2FDFnlekIQLGU6giRFByjRGf6LiVcb3Trqczde0xHAWAjlCCg8JhJ1vdc5ctr0qpZqhsSZToKgkxpjg5JjBAVS7+IVH23dLbikxKUNKGLHB04VxmA9zk6tFLShC7MGgcUgzMy0nQE23EfO6beb91nOgZQZIwQeVGDT0ep8V3c+wCAd1CCgOLJsNwa0PVqZW7dbjqK7ThCy2j2tsWmYyDIBPwIUWl/Av5ky/WTFJ+UoLEbN5iOAiBAjd24gREhoIRCHS6tf7qy6Ri2dOKKC7Q0Ld10DAQRX3SJUh8hymKnkaIzcR4zgLM5MjRWB1tJmwZPNB0FCBqP7W+phW1CTcewpQ0TOyrxKmabQ8n5amCFQuRDFCMAZ2IkCCgdC1PdemTobXL+kWA6ii3xuw3eEHSFSKIU5UQ5Auxr54NdtHrcG6ZjAEGPv7VmHLo1VkueYsQbJePLy26YZc6QrGsEnOc3kxwO03EAlDaHQ87zm2nsxg2UIcBHXOdVNx3Bliq/u0BPH2hqOgZQaCG+3JmzxkZGic7w/Q8fSZLOXzhYKbui1HjcIsOJAHjb6VNHlpmMAdjO8a4xivhin+kYtlS7zEHTERDAfD0pm09PmZM4ba6w2j8yWpH73Ar/hqkrgUA0dcc8VXdxHxTApAafjlLj8Ysk3x7qQNLB22P1y+MvKcoZbjoKAlDQFyKJUlRUTx9oql9blzUdA8A5uBrF6KIv1qhNxDb1i0g1HQewvZjvb1fTMStlpaWZjmJLTKyA4jBxyx4KUYDpu76v3BcnmY4BICenS66fz9OsprNMJwGQQ7InVTe0v0qZe/aajmI7VmwbjXz/S10bdcx0FAQY2xQiiVLkDcyeA5jHO6CAf+NvpTn77uyiZQ8xiQwKz0QZknw8qUJOTLBQclkHYs3n3SxJcjgs1blulcFEgD1QgoDAEVKntjJ37DQdw5aONvaYjoAAYqoMSQZHiCRGiUpTx2XXq9IVm7iQFPAiihAQWNamp+juK26VZ9U601FsyRkRobglSRpfaavpKAgAti1EEqXIVzhlACgeShAQ2Jr+PlT1b1hhOoZt8TsUhWGyDEl+UIgkSpGvUY6As5u8/Q/VDokyHQOAFzy0t7WWXsB96E3ZdX8XrbqL64hQMNNlSDJ4DRHMyfluTczXd6jJaO51BGyY2FGJV731978oQ0Cw6F5uvZaquekYtpXe9oTpCMA5+cUIkcQokb9g9Ah20/ovh56rscx0DAClpPEHo9XggQWmY9hWSEw9vfTLdDUJ5UbVyMsfRockPypEEqXI38RFt1VITD1lJm4zHQXwKs5pB+xjd2ayhjfoKSsz03QU2xq6focGlztoOgb8jL+UIYlChCJoNGOUGt6z0HQMoFgoQYA9ZVhuDWjXl5uzGrT98S5aewfXESE3fypEfnWVoT+9MMhr002TFJ+UoPikBCVN6CJJcjWKMZwKyC3rezJpQpfs71fKEGBfHnmUuXef6Ri2llojU0c9J03HgB/xt2N+vxohysJIUWD55aRTPct6uP4IRu2f2VTuOVX0yrhJ6lmWmwECOGXSkVr65pLzGSEyjDemkMXfypDkp4VIohQFuiFbe2rHM00U/g0z2KF08UcWwNn8lio9M+BGeVZwc1aT7tm0WpdHZJiOAcP8sQxJFCL4ECNI8Ibtj3bR2lGciw6g8HqMvIM36AzjzStIFKJioRQFr77r+2pW01mUJJwTf0QBlFSf3owQmZZyTSf9/tqbpmPAIH8tQ5KfTapwJn9+4VAys5rOkqTsC953ft7y1GQNX7YwnAymJX3ZQp4eFzAZAgCvSPakKq0698AxLT3Srw85Ucr8/Zjer0eIsjBSZE+MHtnD/lGxqjZpAeUHQKlp9s5o1XuUm7Oa9uXOxYpwljEdAz7m72VI8vMRIthXzHcj5IzkHb1gsuPhU1O1p/XrkGs67L8enUgZAlCq6v97iekIkNTmtztMRwDyFWI6QGE4a2xklMhGEjOSVWVhiDwnTpiOghLY+P6FanzLXznKToI05u//A4CP7M5MlqNsWVnHj5uOYnvug2FyWx65HLwfbxeBMDokBdAIUaC8oCi5ck6HUvsdMx0DheSMiNDWj1vriS1LlXJ1p+yRny2XvcvIDwDjqrsitGFiI9MxIKlivSPyyO+v1ICXBNKxe0BcQ5QTI0X20KdxV0aI/NDue7pI3Q5rRccZpqMAQKH1vnKwrKWrTcewPVelSpq1eq7pGPCBQCpDUoCcMpcTp88Fv/4be8tRJk2iEBm38X+dtPba1xTmCP17SYLJOABQLMcalVO5paZTwBEepg5/DdSSCz8xHQWlKNDKkBRAp8zl5KyxMSBfbJzbAfcJrVxbV+7Dh01HgSRnlfQcZQgAAtOJ6IA83Ak+liWPJaVZGaaToBQE8vE5vyHgVyo4w9WkcZLpGPhbo+fTTUcAgBKr+epi0xEgKXPPXqWkhvFGG/xOQBeiQG2hKFiowyXX1Uyo4C+2/8uhA25OXQQQuDZnJCvx8Q6mY+BvMXfuNR0BpSDQj8kDuhBJgf8FQG4bMk4owOb5CGp1Bq5VVRf3gwIQuBqGRqnRmztMx0CWdE6XCzbBcCwe8IVICo4vBE65asoEebhXhN9wNaqveake0zEAoNgOu1PkrlHJdAz8zXP8uBp8PtJ0DHhJsByDB0UhkoLnC2J3dX5MkTM83HQM/G3DiOpqEZpqOgYAFFslV4TSKoeZjoG/WZmZCjkeNIefthZMx95B9R0ZTF8YO9qZmaxd3SPkSeUA3F80nbhbO9xB9WsCgM08vK+VysT/aToGcgg/4NA+rk8NaMF2zB10RzrB9gWyk5f2d1eljW7TMZCTxyOP5TCdAgCKLTZqo5yRXAvpTyJ3e3TCw/XCgSoYj7WDrhBJwfmFCnabM5L1zYZWqrBol+koOEMFJxfAAghcrcockCM04O5DH9Sidqbpx5QmpmOgGIL1GDsoC5EUvF+wYHXcE6quMVuUWauy6SjIwV2tgphSAUAgc1uSo2xZ0zGQQ5kdB/XxrvbKsDgrJJAE87F10BYiKbi/cMGmUailhTvqSwtXmI6CHKwlK9UwNMp0DAAotpjQKGXu3mM6BnLI3LpdW1dG66iHa4YDRbAfUwd1IZKC/wsYLO7aeakqf8o53v4mpEF9xcy8w3QMACi2FvOHmI6AfFRa49DOTE5lDAR2OJYO+kIk2eMLGegWJdVTuY3cf8jfZG7ZqvLr+IMFIHDV+3em6QjIR6UNqVp4soHpGDgHuxxD26IQSfb5ggaqihEn5Y4MNR0D+QjpdcB0BAAotvW3VTQdAfkos2W/pm7vZDoGzsJOx862KUSSvb6wgcRteXT4txpyzl9pOgryUeOOY6YjAECxNZ18xHQE5MO9Z59SvzzPdAwUwG7HzLYqRJL9vsCBwCNL9d7eKHmYbcYfJbevqwPcQA9AgDrepILpCMiHlZGuqsuSTcdAPux4rGy7QiTZ8wvtz5xyyEplphl/FbnugKq6mPACQGCK+mqp6QgogGvdNqbe9jN2PUa2ZSGS7PsF90ejdnaTlZ5uOgYKcLRtNUaIAASkxIxkOcuVMx0DBXAfO6bV6Ux64S/sfGxs20Ik2fsL7y8S0tL01+TWstLSTEdBAcp9tUzd35pgOgYAFFmvb+6R+/Bh0zFwFgMXjdBhd4rpGLZn92Ni28+nm/UN4NnT2HASe2obFqbMsg7TMXAWVka6zuu+y3QMACiycrWZFMbf1XvdpUrdI0zHsC27F6Esth4hyolvCDM+Sa6gWh+sNR0D57DnSHnTEQCgyMpN5XeXv3MtXG06gm1x7HsahQgAAACAbVGIcqAp+9ZvqdJvR5txfncAaHD/cSZWABBwyn233HQEnIOVka7EDKbf9jWOeXOjEJ2BbxDf6R4u/fpxO4XUq2M6Cs4hvU4lpViW6RgAUGjfpYTL0aCu6Rg4B1e1ahr6z3tMx7AVjnXzohDlg2+U0pdhufXY/paqO2OrMrftMB0H5xDy5waN2jzQdAwAKLRxfwyWe80G0zFwDu79+1VuXqLpGLbBMW7+KEQF4BumdIU6XJq2qqO23F7fdBQUgufECR1OLWs6BgAU2mUt1piOgEI63jVGLRcMNh0j6HFsWzDbT7t9NkzJXXqOek6q6vdhqvztanGPav/nCAnR3r0VTccAgEL76Y82aqSFpmOgECK+WKQyR9pJsaaTBCeK0LkxQlQIfCN538ht/RS5O0PuI0dNR0EhWJmZavYs9/MAEDiavnPIdAQUwd4OYZp5gvsReRvHsIVDISokvqG8a1zNnxSeeNB0DBSBe90mrUhPNR0DAArFvZa/24Gk1rPz1S+C2ea8iWPXwqMQFQHfWN5z3/2jlbllq+kYKAJn62a6Zfkw0zEA4JwGbIyTo0wZ0zFQBCF1aqvRrJGmYwQNjlmLhkJURM4aG/kmK6Htmcna0z/ddAwUkWf5Wh3dWcF0DAA4p8PP1ZOVlmY6Boogc8dOldnDpe0lxXFq8VCIiolvtuJ7cnecmoxYazoGiqH5f5NMRwCAs3JbHoV/u9h0DBRDo3d26qsTUaZjBCyOTYuPQlQCfOMVXYbl1q9zWsvRsJ7pKCiGzB1J2swdxQH4sbeP1pEjhJGGQJS5bYfunjXEdIyAxDFpyVCISoihyaK5flNfVf/TI/fq9aajoDg8bt22nj9WAPzXswv7yMrMNB0DxVRz3qlbc6BwOA71DgqRl/DNeG7bM5O1/2SkKizaaToKSuBAcqTpCABQIEeKy3QElED5b1fowd0Xa3smZyOcC8ee3kMh8iK+Mc+ulitCUb23KHPnLtNRUAKevypoN3+oAPihSUdqKXIbhSiQeVJStHVQtOqGcC3R2XDM6V0UIi9j6LJgnR8eK2cEN10LdHWemq8fU+qbjgEAeby9uauin5tvOgZK6Pj51XT+/8aYjuGXOM4sHRSiUsI3a26vHq6nw5edlCclxXQUeMGTM683HQEA8igbyrVDwSDiy0U6UT9TscuvNR3Fr3BsWXoclmVZpkMEO8+exqYjGDXzRIRSrVBNbhJjOgq8xBEWptmJi0zHAIBs2zOTNaLuRaZjwIv6rD6i8ZW2mo5hHEWo9DFC5AN2/kZOzEhWjZCjer9XN9NR4EVWero+Ol7JdAwAyDYnpYHpCPAiV8UK+vHSZqZjGGfnY0hfohD5iB3P+UyzMlTR6dTIF+5SSosapuPAmyxLDy+9ynQKAMj24rpepiPAi9xHjipz9x51uXuU6ShG2PG40SQKkY/Z6Zt7fYZb3f+8XccaelQm/k/TceBlDQclmI4AAJJOnY1Qc8Ba0zFQCvbESo1mjNKK9FTTUXzGTseK/oJbORuQ9Y0ezNcWvX6kjramVlX01WtMR0Epmp0Spt4RaaZjALC5o55Q0xFQShrftfDUB9dKI3Z01dt15pkNVIooQuYwqYJhwViKjnpOallapJ5p2Np0FJSytL4d9Ms7b5uOAcDGMiy3rjr/UrkPHzYdBaXIERKiKVt+0ZbMCHUND74TnChDZgXfd1SACcZzRCs4y1KGbCLyr+3akHHCdAwANpbsSZOVyXTbwc7KzNStzeN0fpk0JXuC5/S5YDwODEQUIj8RDD8MaVaGMiy34qLbmo4CH8ncs1fXvzjBdAwANjbkohvkOX7cdAz4gtutQZ2uVZQzPCjejAuGY79gQSHyI4H8LsEPKaE66knXgG7XyhkRYToOfChyj8d0BAA2ZkWEm44AH/GkpipzV5L6XjpQTUIjtTQt3XSkYgnk471gRSHyQ4H0Q5LiSddTB5ppY3oN3XLF7fKUKytPSorpWPChcp8uUYOfbjUdA4ANxd47SlbiDtMx4GPuNRvU76IBahdWRjszk03HKZJAOsazE2aZ81OBMhPdW0ebaP41zeVITpFnD1Oe2pLHraYvpkqXmg4CwG6idqTJkxo815Og8DK3bFVcdFsduTlWTz72ji6PyDAd6awoQv6NWeYChL8Vo4f2ttZ321qqxv+FSgtXmI4D0zq20vkTV+uFmn+ZTgLAJibsuUBr+kcrc+cu01FgWEitaO14vYJ+bTdZlVz+ddo+RSgwcMpcgPCXH6hG00brzl2d9O2HF6nGgLWUIZyyZJVmfd1Z+9yBf5ErgMCw4D8dKUOQJGXuSlLNAWvVaeo96r2un5q9M1qSjM9G5y/Hbjg3RogCkK9HiyYfraHGYXv02JgRCjuYKmvJSp/uH4HBdV519ZmzXuMqbTMdBUCQm3a8ij4ceLk8yzlVG3ll9mqnsB1H9GT8DP2e0kTjK2316f4pQoGHQhTASqsY7c5M1qsHu2j2juaKnFJR5f7YIvf+/XJVqyb3/v2lsk8EB9fcaM1qOst0DABBrtXLYxT93/mmY8CPuapVk+fYMTnDwpQ07HwdbZGp9y9/S7FhboU6XKWyT4pQ4KIQBYHiFKMM69QvhAZfjNQbvd9T09CDunzenfLsCVejuxcqpF4dZW5j5h4UTXrvDrr/tQ/UOyLNdBQAQWp2SpgefuZWVZm8wHQUBBBnuXJyhITIffiwtv07VhkxqZoY+6Hahh3RRfNGa0P3D4q3XUpQUKAQBRHPnsZK9qQqyhmu3ZnJ6jF9gjYMnah5qR4ddEepZZl9Gndhf21/u6ZSE8up4T0LlXpFR4V/u1ghNc6T++BhWRmBOac//Me2T1ppZdf3Su0dOAD21mj6KDW8d6HpGAhwjrAwWWmn3rxL791BYXNXaOOzF8hRPVVN/nNSLadu0Liqv2v+yTpqEbZbN79ytz4d/5yahEZKOnV9Uvlo3jgOFhSiIHSZ83pJkjMyUp4TXOQO3wqpFa1Hfv9GncMpRAC8KyEtTffHdDIdAzb3o+dT0xHgZRSiIJZVjABfO3xLrBY/M9F0DABB5qJ/jFTkZ4tMx4BNUYSCF4XIBihG8DVHaBmVn1tOnzT42XQUAEEiZuYdajJqsekYsCGKUPALMR0ApS/rB5liBF+xMtJ1fFQ1ueM9cjm43RmAkvktVar1o8N0DNgMRcg+GCGyIYoRfCGkQX25pqRqZuPZpqMACHBNfr1FMTctNx0DNkERsh/eurUhftDhC5lbtmrrzAaal+oxHQVAAPv5pEvaFmE6BmyCYyR7YoTI5hgtQmnrvDxDT1RbbToGgADV9Pehqn/DCtMxEOQoQvZGIYIkihFKj6taNX227DtFOMuYjgIgwHxwrKqmNattOgaCGEUIEoUIZ6AYoTRYXdroh8/eNx0DQIDp2/1quTclmo6BIEQRQk4UIuSLYgRvckZEqO4vlt6svcB0FAAB4rK1V8rZa4fpGAgyFCHkh0kVkK8fPZ/ySwNe40lJ0eb7mmt2SpjpKAACwEN7Wyv9pZqmYyCIcFyDs2GECIXGqBFKaufnLbWk0xSuJwJQoGRPqq5Yc6PCLt9qOgoCHAUIhUUhQpFRjFBcjpAQ/d/GeWobxkgRgPz9I6mD1rfPMB0DAYwihKKiEKHYKEYojpBa0Wo8c59ervmn6SgA/AxlCCVBEUJxcQ0Rio3zcVEcmbuStHp8Kx12p5iOAsCPfJcSro23NzYdAwGI4xGUFCNE8BpGjFAUjjm1NLvZd6ZjAPATTx9oql9blzUdAwGEEgRvoRDB6yhGKKzh67fpxnKHTccAYBg3YEVRUITgbRQilCrKEc7G6tpWJx45pnmtvzAdBYAhbx2N1ufNq5uOAT9HCUJpCjEdAMEt6xcYxQj5ccxL0NFfusjdyiOXg0saAbv5LiVcnw+/VNIK01HgpyhC8AVGiOBTFCPkZ/PznbVp0CTTMQD42BUb+iij527TMeCHKELwJQoRjKEcIadNL3XW5hsoRYBdtHl2jGq8Mt90DPgRShBMoRDBOIoRJCmkxnnaPrGKVnaabjoKgFLktjz6JqW8JjZuZDoK/ARFCKZxDRGMy/mLkHJkX5l79so1p6FmtwpT74g003EAlJKV6Rl6q3NHSYdMR4FBlCD4E0aI4JcoRvblDA9X6wWpeva8BNNRAHjZw/taaUlbl+kYMIgiBH9EIYLfoxzZj6tiBb28fJaahEaajgLASxIzkjWq3kWmY8AAShD8HYUIAYNiZC+OkBDN3v6n6RgAvCDFk66ra3c0HQM+RhFCoKAQISBRjuzBVaWy3kv4RtVdjBQBgWp3ZrKG1WVkyC4oQQhEFCIEPMpRcNv4aidtufZN0zEAFMNRz0l1f+4eptcOcpQgBDoKEYIGxSiIdW6tsVM/U//IFNNJABRSmpWhq+rFysrMNB0FpYQihGBBIULQoiAFlw2TOiqx/1umYwAoBLflUadHx6rKlMWSx206DryEAoRgRSGCLVCOgseziYvUNizMdAwABXjxUAP92L66PKmppqPACyhBsAMKEWyHchTY0vp10Ndv/k8VnGVNRwFwhhRPuvrfPEquuX+ZjoISoATBbihEsDXKUeA6MbuB/mj9hekYAP7W8OfhanzralkZ6aajoBgoQbCzENMBAJNy/gGgHAWWqEcitfSTdLULK2M6CmB72zOT1eSFNHkoQwGFEgSc4jQdAAAAAABM4ZQ5IB+MFgWODW930JLeL6sqN28FfC7NylDbN+9S3acWMZtcgGBUCMiLQgScA+XIv7mqVdPA35drWPl9pqMAtrMh44TG1etqOgbOgRIEnB2FCCgCypH/2n13F00Z9zLXFAE+cMB9QkP63yErYY3EYYRfogQBhUchAkqAguR/XHOjNavpLNMxgKDV4IuRavLPZcwm52coQEDxUYgAL6Ec+Qcrto2umjxHYyvuMB0FCDq7M5M1vEFPWZmZpqNAlCDAWyhEQCmgHJm38/OW+rXjW0y2AHhBsidV3f7vbp03aTFlyDBKEOB9FCLAByhI5lSZV0nTY+aajgEEJLfl0R07uivpEo88KSmm49gSBQgofRQiwMcoR751cESs/nnvJxpc7qDpKEBA6tvqErkPHjIdw1YoQYBvUYgAwyhIvnEyPkZzz/9ckuRycE9q4GwafzhaktTgvgWGk9gDBQgwi0IE+BkKUulxlisnSQr9NlIzG882nAbwP4kZyRrd6BJmkCtlFCDAv1CIAD9HQSode//RRQ+MnaEbyx02HQUw7qjnpG5sdLE8qammowQlChDg3yhEQIChIHnXse8bakGbz03HAIzIsNxq+cGdavDIEmaP8yIKEBBYKERAgKMgeYHTpZPf19Vvrb40nQTwmRXpqbq/WU9GhbyAAgQENgoREGQoSMV3bFBnXfPQj5pQebPpKECpOexO0U2NLpaVlmY6SsCiAAHBhUIE2AAlqWg2T7tA87u/purc1BVBJNmTqksfGK8K0xZJ/OkvNMoPEPwoRIBNUZLOjeuLECw+Ty6vd1q34PS4c6D8APZEIQIgiYJUkMxL2qn5s6v0Wq1FpqMARZZmZWhA4x7ypKSYjuKXKEAAJAoRgLOgJJ224Z32ir/sFTUJ5TQ6+L8My62L/zFGkV/+KXncpuP4BcoPgIJQiAAUid1LUtoP9eWxHMxIB7/UcsFgtYveoX0902w9aQLlB0BRUIgAlJhdS1LYrzU0s/Fs0zGAUzdWbXqpPCdOmI7ic5QfACVFIQJQauxQlI4O7qwxj3ymoeUPmI4CG0r2pOr65pfJc/y46SiljuIDoLRQiAD4VDCXpMQZbfR9l9fVMDTKdBQEsQzLrdjH7lTV95fKykg3HadUUH4A+BKFCIBfCKai1HBJuNLcIZpc9w/TURBEWi4YrKbV9in1arfcBw+ZjuMVFB8A/oBCBMCvBXpR6rw8Q09UW206BgJcv05XKHPHTtMxio3iA8CfUYgABKxAKktp/TpowitT1S+CG2OicPpefJ3c6zeZjlFolB4AgYpCBCAo+XNZ2vhaJ/3W/wWlWA7ua4RcOt0/WpU/X+63N1Kl9AAIRhQiALZlujS5mjRUp0/X6uGqq0792+E0mgdmNPjpVjV+I1NauMJoDsoOALuiEAFAAXxZmA6MjFWZ45YWPD/JZ/uEGU8faKpPJ/VSegWp9jPzfbZfCg8A5I9CBAAlUFqlaeMHF2rLpe+WyrZhRu91/WRdsqtUtk3ZAYDioxABgI8UpTyF1KmtzB07tf3xLpKktXe8UVqxUIoafD5SktR43CI52rWUtbTwMw5ScgDANyhEAODHPHsam44AL3DW2Gg6AgCgABQiAAhiFCrvoNAAQPCiEAEAAACwLeZ4BQAAAGBbFCIAAAAAtkUhAgAAAGBbFCIAAAAAtkUhAgAAAGBbFCIAAAAAtkUhAgAAAGBbFCIAAAAAtkUhAgAAAGBbFCIAAAAAtkUhAgAAAGBbFCIAAAAAtkUhAgAAAGBbFCIAAAAAtkUhAgAAAGBbFCIAAAAAtkUhAgAAAGBbFCIAAAAAtkUhAgAAAGBbFCIAAAAAtkUhAgAAAGBbFCIAAAAAtkUhAgAAAGBbFCIAAAAAtkUhAgAAAGBbIaYDAMEoNTVV6enppmMAAIJMmTJlFB4ebjoGEFQoRICXpaamqkLZSkpXqukoAIAgU6NGDSUmJlKKAC+iEAFelp6ernSl6iL1VYgjTA6n49QDDmeOj//+v9OR/bHD6cyx3Hl6vazHHc5T6+d8vsNxxrrKsfzMdc98fsFZLIfj9Am1Ofd11sf/Xv73x7nWPXOZM+fjObbz98c5t2/lWn56XUtZHyv78zr9+Bnr5lievV7O/Wctd+b//Gy5nl/Ax/m8Frn2n++6+XysAh4/I0uBzy9o2Tn2n6XAZflsK7/XQg6r0FnkOPVZZX9ueda18t9nzuXZ+z+9zHG258vK8SNwes+OAp6ftTzXNnM833HG83P8uMiZ6/mnH3fmWOb8+7PPuZ2sdZ1nfCxJTuVe5szn46xtFfR41j5PLfOc3pfOfNwjV47nnF731PZdsuTI8fzT6+ZYlvPjv9fN2o/L4cnepuvv/WVtN3tf+WzL5fBkZ3TlWC/rx9ilnNvNeo6Vva1Tz8963untuHJ8/q4cWbK+Ltnb0unXMuvxU8t0+rXKyuKQXH9/RU4vc8iZvez0xy5H1jJnjmWnPj523KN67bYqPT2dQgR4EYUIKCUhClWII1SOHIUk58en/n/6qMnhyFGIcj7uzPH4OQuRI8/zCixEjjMeL3EhcpwuAbkKz+li4NVClPPAuJQLUf7PL+Dj7Oc7cnyc4/nnKCTnKhGlXojyeTzLmYXobK9LsQpRjn35vBDl/Dif559ZiM58zulvl9MHzsUqRPk8p7iFKHfhKXwhyrn81P8LKkQ5S0DRC5Ez30JkFfBx4QuRKzuXQ86/X9CsMnKqEGV97MhRUqwcy6wc21J2ltP7P73sbIXIVYRC5CpUIeKyb6C08NMFAAAAwLYoRAAAAABsi0IEAAAAwLYoRAAAAABsi0IEAAAAwLYoRAAAAABsi0IEAAAAwLYoRAAAAABsi0IEAAAAwLYoRAAAAABsi0IEAAAAwLYoRAAAAABsK8R0ACBYZSpDspxyWI6/l+T8+O//W47sjx2WM8dy5+n1PH8/7sjxuCPn/52nP87evCOfdc98/hmPW47sjy2HQ7J0xvPP9fjfyyXJo9zrZn3KWcucOR/PsZ3sKI7sT8vKtfz0ulm7l0OS88xtnbFuvi97jufk87LnyqX8nl/Ax2e+Fo7cy/NfN5+PVcDjZ2Qp8PkFLTvH/rMUuCyfbeX3WshhFTqLHKc+q+zPLc+6Vv77zLk8e/+nlznO9nxZOX4ETu/ZUcDzs5bn2maO5zvOeH6OHxdZuZ5/+nErxzLr788+azueHM9xnvGxJDmVe5kzn4+zf/MU8LhTOZd5Tu9LZz7ukSvHc06ve2r7Llly5Hj+6XVzLMv58d/rZu3H5fBkb9P19/6ytpu9r3y25XJ4sjO6cqyX9WPsUs7tZj3Hyt7WqednPe/0dlw5Pn9XjixZX6vsben0a5n1+KllOv1aZWVxSK6/vyKnlznkzF52+mOX4/R6p5ed2t6x4x4B8D4KEeBllmUpKipKfyTPOnWE5zadCAAQLKKiomRZ1rlXBFBoFCLAyxwOh5KTk7Vjxw6VL1/edBwAQJA4duyY6tSpI0fOkWsAJUYhAkpJ+fLlKUQAAAB+jkkVAAAAANgWhQgAAACAbVGIAC8LCwvTY489prCwMNNRAABBhL8vQOlwWExVAgAAAMCmGCECAAAAYFsUIgBALlu3bpXD4dCwYcOK9fzHH39cDodDv/zyS4m2OWzYMDkcDm3duvWc28lvXQAACoNCBABBbNCgQXI4HJoxY8ZZ1zt27JgiIiJUsWJFnTx50kfpStcvv/wih8Ohxx9/3HQUAIAfoxABQBC77bbbJEnvvvvuWdebMWOGTp48qZtuukmNGjXS2rVr9cwzzxRrn3feeafWrl2rjh07Fuv5WZ555hmtXbtWtWrV8uq6AADkxI1ZASCIXXLJJYqJidGcOXO0fft21a1bN9/1sgrTbbfdptDQUDVr1qzY+6xataqqVq1a7OdnqVmzpmrWrOn1dQEAyIkRIsCLXn/9ddWvX1/h4eHq1KmTFi9ebDoSbM7hcGj48OHyeDyaMmVKvuusXr1aixcvVuvWrdW+ffsCr9PZvXu37rrrLjVu3Fhly5ZVxYoV1bx5c40aNUpHjx7NXi+/a4jO3F+/fv1UsWJFRUVF6fLLL9fSpUvzrFeU64LOXPfxxx/XxRdfLEl64okn5HA4sv/bunWrhgwZIofDUeDP6KOPPlqoUw0BX/jtt9905ZVXKjo6Wg6HQ1999ZXpSEBQoRABXvLxxx/r7rvv1mOPPaa//vpLbdq0UVxcnPbt22c6Gmxu2LBhcjqdeu+995TfnRayilLW6XX5SUlJUdeuXfXqq6+qYcOGGjdunIYNG6YmTZpo6tSp2r9/f6GybNmyRV27dtXJkyc1evRo9e/fX3PnzlX37t21aNGi4n2C+ejZs6duueUWSVKPHj302GOPZf9XsWJFjRw5UpL0zjvv5Hmu2+3WlClTVKVKFV1zzTVeywQU14kTJ9SmTRu9/vrrpqMAQYlT5gAvefHFFzVixAgNHz5ckjRp0iR99913evfdd/XAAw8YTgc7q1Onji6//HLNnj1bc+bMUa9evbIfy8zM1IcffqiwsDANGTKkwG38/PPPSkxM1Pjx4/XSSy/leiw5OVmhoaGFyvL777/rgQceyHV90i233KLevXtrxIgRWrFiRRE/u/z17NlTkvT++++rZ8+eeSZW6Natm1q0aKGPPvpIL730kiIjI7Mfmz17tnbu3Knx48dzA0z4hT59+qhPnz6mYwBBixEiwAvS09O1dOlSXXrppdnLnE6nLr30Ui1YsMBgMuCUgiZX+Pbbb7V3715dddVVqly58jm3U7Zs2TzLoqKiCl0cKlasqH/961+5lsXFxalXr15auXJlvqfOlZaRI0fq+PHj+uijj3Itzxo1GjFihM+yAADMoRABXnDgwAG53W6dd955uZafd9552rNnj6FUwGlXXXWVqlWrpi+//DLX9T45J1M4m+7du6tmzZr6v//7P/Xr108TJ07UmjVr8j0F72wuuOACRUVF5VnerVs3SdKyZcuKtL2SGDp0qMqWLau33347e9nevXv17bffqkuXLmrRooXPsgAAzKEQAYANhIaG6uabb9bJkyc1ffp0SdKePXv0/fffq27durlGN/NToUIFLVy4UEOHDtXChQs1ZswYtWzZUvXq1dMbb7xR6Bxnvmlw5vKcZa20VaxYUQMHDtSiRYu0atUqSdJ7772nzMxMRocAwEYoRIAXVK1aVS6XS3v37s21fO/evapRo4ahVEBuWaNAkydPliRNnTpVmZmZGj58uJzOc/85qFu3rt577z3t379fy5Yt07PPPiuPx6OxY8cWeja2M39GzlxeoUKFQm3HW0aNGiVJ2aNEkydPVvny5TVw4ECf5gAAmEMhArygTJkyateunX7++efsZR6PRz///LNiY2MNJgNOa9GihTp37qylS5dqxYoVmjJlSva03EXhdDrVtm1b3XfffdlFaObMmYV67rJly5ScnJxn+e+//y7p1Cl13uJyuSSdmjWuIJ07d1br1q314Ycf6ocfftDGjRs1ePBgRUREeC0HAMC/UYgAL7n77rv19ttv6/3339fatWs1evRonThxosgHm0BpyholGjNmjNauXatLL71U9erVO+fzVq9ene/oTtay8PDwQu3/yJEj+s9//pNrWXx8vH7++Wedf/75ateuXaG2UxhZk0Ts2LHjrOuNHDlShw4dyv5Z5XQ5+Jvk5GQlJCQoISFBkpSYmKiEhARt377dbDAgSDDtNuAlN9xwg/bv369HH31Ue/bsUdu2bTV79uwCr5kATLjhhhs0fvx4zZs3T9K5J1PI8uOPP2rChAnq2rWrmjRpoipVqmjLli2aOXOmwsPDNXbs2EJtp1u3bpo4caIWLVqkzp07a+vWrfr0009VtmzZfO8JVBLNmjVTdHS0PvroI4WFhal27dpyOBwaN25crlPzhgwZovvuu09JSUlq166dV0epAG/4888/s280LJ16A046NWX9e++9ZygVEDwYIQK86M4779S2bduUlpamRYsWqVOnTqYjAbmUK1cu+/qYypUra8CAAYV6XlxcnMaOHatjx47piy++0EsvvaQ///xTN9xwg5YuXar27dsXajsNGjTQvHnzVLZsWb3++uuaOXOmevbsqd9//93rPy8ul0tffPGFOnfurBkzZujRRx/VI488osOHD+dar3z58rr66qslMToE/9SzZ09ZlpXnP8oQ4B0Oq6hzpgIAEGRatWqlxMREJSUlqXz58qbjAAB8iBEiAICtff/991q1apUGDx5MGQIAG2KECABgSxMnTtSOHTv0zjvv6Pjx41qzZo1iYmJMxwIA+BiFCABgS/Xr19fOnTvVtGlTPfvss7riiitMRwIAGEAhAgAAAGBbXEMEAAAAwLYoRAAAAABsi0IEAAAAwLYoRAAAAABsi0IEAAAAwLYoRAAAAABsi0IEAAAAwLYoRAAAAABs6/8B0DA7YY2XKk0AAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vis = glass.vmap_galactic_ecliptic(nside)\n", "\n", "# checking the mask:\n", "hp.mollview(vis, title=\"Stage IV Space Survey-like Mask\", unit=\"Visibility\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulation\n", "\n", "Simulate the galaxies with shears.\n", "In each iteration, get the quantities of interest to build our mock catalogue." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total number of galaxies sampled: 22,275,837\n" ] } ], "source": [ "# we will store the catalogue as a structured numpy array, initially empty\n", "catalogue = np.empty(\n", " 0,\n", " dtype=[\n", " (\"RA\", float),\n", " (\"DEC\", float),\n", " (\"Z_TRUE\", float),\n", " (\"PHZ\", float),\n", " (\"ZBIN\", int),\n", " (\"G1\", float),\n", " (\"G2\", float),\n", " ],\n", ")\n", "\n", "# simulate the matter fields in the main loop, and build up the catalogue\n", "for i, delta_i in enumerate(matter):\n", " # compute the lensing maps for this shell\n", " convergence.add_window(delta_i, ws[i])\n", " kappa_i = convergence.kappa\n", " gamm1_i, gamm2_i = glass.shear_from_convergence(kappa_i)\n", "\n", " # generate galaxy positions from the matter density contrast\n", " for gal_lon, gal_lat, gal_count in glass.positions_from_delta(\n", " ngal[i],\n", " delta_i,\n", " bias,\n", " vis,\n", " rng=rng,\n", " ):\n", " # generate random redshifts over the given shell\n", " gal_z = glass.redshifts(gal_count, ws[i], rng=rng)\n", "\n", " # generator photometric redshifts using a Gaussian model\n", " gal_phz = glass.gaussian_phz(gal_z, sigma_z0, rng=rng)\n", "\n", " # attach tomographic bin IDs to galaxies, based on photometric redshifts\n", " gal_zbin = np.digitize(gal_phz, np.unique(zbins)) - 1\n", "\n", " # generate galaxy ellipticities from the chosen distribution\n", " gal_eps = glass.ellipticity_intnorm(gal_count, sigma_e, rng=rng)\n", "\n", " # apply the shear fields to the ellipticities\n", " gal_she = glass.galaxy_shear(\n", " gal_lon,\n", " gal_lat,\n", " gal_eps,\n", " kappa_i,\n", " gamm1_i,\n", " gamm2_i,\n", " )\n", "\n", " # make a mini-catalogue for the new rows\n", " rows = np.empty(gal_count, dtype=catalogue.dtype)\n", " rows[\"RA\"] = gal_lon\n", " rows[\"DEC\"] = gal_lat\n", " rows[\"Z_TRUE\"] = gal_z\n", " rows[\"PHZ\"] = gal_phz\n", " rows[\"ZBIN\"] = gal_zbin\n", " rows[\"G1\"] = gal_she.real\n", " rows[\"G2\"] = gal_she.imag\n", "\n", " # add the new rows to the catalogue\n", " catalogue = np.append(catalogue, rows)\n", "\n", "print(f\"Total number of galaxies sampled: {len(catalogue):,}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Catalogue checks\n", "\n", "Here we can perform some simple checks at the catalogue level to see how our simulation performed." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# split dndz using the same Gaussian error model assumed in the sampling\n", "tomo_nz = glass.tomo_nz_gausserr(z, dndz, sigma_z0, zbins)\n", "\n", "# redshift distribution of tomographic bins & input distributions\n", "plt.figure()\n", "plt.title(\"redshifts in catalogue\")\n", "plt.ylabel(\"dN/dz - normalised\")\n", "plt.xlabel(\"z\")\n", "for i in range(nbins):\n", " in_bin = catalogue[\"ZBIN\"] == i\n", " plt.hist(\n", " catalogue[\"Z_TRUE\"][in_bin],\n", " histtype=\"stepfilled\",\n", " edgecolor=\"none\",\n", " alpha=0.5,\n", " bins=50,\n", " density=1,\n", " label=f\"cat. bin {i}\",\n", " )\n", "for i in range(nbins):\n", " plt.plot(z, (tomo_nz[i] / n_arcmin2) * nbins, alpha=0.5, label=f\"inp. bin {i}\")\n", "plt.plot(z, dndz / n_arcmin2 * nbins, ls=\"--\", c=\"k\")\n", "plt.legend(ncol=2)\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 0 }