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@aphearin
Created May 19, 2018 16:43
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Notebook experimenting with scipy.stats models for COSMOS ellipticity distributions
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"morange = u'#ff7f0e'\n",
"mblue = u'#1f77b4'\n",
"mgreen = u'#2ca02c'\n",
"mred = u'#d62728'\n",
"mpurple = u'#9467bd'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Load and plot validation data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11026c510>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import os\n",
"dirname = \"/Users/aphearin/work/random/0519/\"\n",
"def load_ellipticity_pdf(source, sample):\n",
" if source == 'cosmos':\n",
" basename = 'ellipticity_{0}_cosmos.txt'.format(sample)\n",
" fname = os.path.join(dirname, basename)\n",
" X = np.loadtxt(fname)\n",
" _e = X[:, 0]\n",
" _counts = X[:, 1]\n",
" mask = ~np.isnan(_e) & ~np.isnan(_counts)\n",
" e = _e[mask]\n",
" counts = _counts[mask]\n",
" _x = np.diff(e)\n",
" dx = np.insert(_x, 0, _x[0])\n",
" pdf = counts/np.sum(counts)/dx\n",
" return e, pdf, counts\n",
" elif source == 'pdc2':\n",
" raise NotImplementedError()\n",
" else:\n",
" raise NotImplementedError()\n",
" \n",
"e_lrg_cosmos, pdf_lrg_cosmos, __ = load_ellipticity_pdf('cosmos', 'lrg')\n",
"e_disk_cosmos, pdf_disk_cosmos, __ = load_ellipticity_pdf('cosmos', 'disk')\n",
"e_early_cosmos, pdf_early_cosmos, __ = load_ellipticity_pdf('cosmos', 'early')\n",
"e_late_cosmos, pdf_late_cosmos, __ = load_ellipticity_pdf('cosmos', 'late')\n",
" \n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4), sharex=True)\n",
"yscale1 = ax1.set_yscale('log')\n",
"yscale2 = ax2.set_yscale('log')\n",
"\n",
"__=ax1.plot(e_lrg_cosmos, pdf_lrg_cosmos, label=r'${\\rm LRGs}$', color=mred)\n",
"__=ax1.plot(e_early_cosmos, pdf_early_cosmos, label=r'${\\rm early}$-${\\rm type}$', color=morange)\n",
"\n",
"__=ax2.plot(e_disk_cosmos, pdf_disk_cosmos, label=r'${\\rm disks}$', color=mpurple)\n",
"__=ax2.plot(e_late_cosmos, pdf_late_cosmos, label=r'${\\rm late}$-${\\rm type}$', color=mblue)\n",
"\n",
"legend1 = ax1.legend(fontsize=14)\n",
"legend2 = ax2.legend(fontsize=14)\n",
"\n",
"ylim1 = ax1.set_ylim(0.01, 10)\n",
"ylim2 = ax2.set_ylim(0.01, 10)\n",
"xlabel1 = ax1.set_xlabel(r'${\\rm ellipticity}$')\n",
"xlabel2 = ax2.set_xlabel(r'${\\rm ellipticity}$')\n",
"ylabel1 = ax1.set_ylabel(r'${\\rm PDF}$')\n",
"title = ax1.set_title(r'${\\rm COSMOS\\ validation\\ data}$')\n",
"title = ax2.set_title(r'${\\rm COSMOS\\ validation\\ data}$')\n",
"\n",
"import os\n",
"fig_dirname = \"/Users/aphearin/work/random/0519/FIGS\"\n",
"figname = os.path.join(fig_dirname, 'cosmos_ellipticity_validation_data.pdf')\n",
"fig.savefig(figname, bbox_extra_artists=[xlabel1, ylabel1], bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Experiment with models for bulge ellipticity"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Inverse Gaussian Model"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113de52d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.stats import invgauss\n",
"\n",
"mu = 0.8\n",
"rv = invgauss(mu)\n",
"z0 = rv.pdf(e_lrg_cosmos)\n",
"\n",
"mu = 0.2\n",
"rv = invgauss(mu)\n",
"z1 = rv.pdf(e_early_cosmos)\n",
"\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4), sharex=True, sharey=True)\n",
"fig.subplots_adjust(wspace=0) # smash left and right plots\n",
"ax2.yaxis.set_label_position(\"right\") # y-labels on the right\n",
"ax2.yaxis.tick_right() # y-ticks on the right\n",
" \n",
"yscale1 = ax1.set_yscale('log')\n",
"yscale2 = ax2.set_yscale('log')\n",
"\n",
"__=ax1.plot(e_lrg_cosmos, pdf_lrg_cosmos, \n",
" label=r'${\\rm COSMOS\\ LRGs}$', color=mred)\n",
"__=ax1.plot(e_lrg_cosmos, z0, '--', color=mred, label=r'${\\rm model\\ LRGs}$')\n",
"\n",
"__=ax2.plot(e_early_cosmos, pdf_early_cosmos, \n",
" label=r'${\\rm COSMOS\\ early}$-${\\rm type}$', color=morange)\n",
"__=ax2.plot(e_early_cosmos, z1, '--', color=morange, label=r'${\\rm model\\ early}$-${\\rm type}$')\n",
"\n",
"legend1 = ax1.legend(fontsize=14.)\n",
"legend2 = ax2.legend(fontsize=14.)\n",
"\n",
"xlim = ax1.set_xlim(0, 1)\n",
"ylim = ax1.set_ylim(0.001, 10)\n",
"xlabel1 = ax1.set_xlabel(r'${\\rm ellipticity}$')\n",
"xlabel2 = ax2.set_xlabel(r'${\\rm ellipticity}$')\n",
"ylabel = ax1.set_ylabel(r'${\\rm PDF}$')\n",
"title1 = ax1.set_title(r'${\\rm inverse\\ gaussian\\ model}$')\n",
"title2 = ax2.set_title(r'${\\rm inverse\\ gaussian\\ model}$')\n",
"\n",
"__=ax2.set_xticks((0.2, 0.4, 0.6, 0.8, 1.0))\n",
"\n",
"import os\n",
"fig_dirname = \"/Users/aphearin/work/random/0519/FIGS\"\n",
"figname = os.path.join(fig_dirname, 'pdc2_ellipticity_model_lrg_early_invgauss.pdf')\n",
"fig.savefig(figname, bbox_extra_artists=[xlabel1, ylabel1], bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Inverted Gamma Model"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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bxuNpGsx6HPLWw/tJ8OtvoFebJ/wJ0WVlZmZisVgoKChodKJHR5TRFmlpac6l2GQihxBCdGrVVbBkWsPtBiOED4CZ6bD/BwiKgOO7ISAYAsNafz5jKFz/Oiy+EDLugNs/Br+A1pcnRBdWUFBAVlYWMTExrQ7YmirDucycs/u2s6/g0WO7d2VMnxCiPTTo3q2uht1ZoFfXPGz7YNk8uGYRDJwIr14ORY4v8ZoB+o6GGX+DEW2Y8bcpU03qOPf3cPHf23ZRQgifk7V3hRCiszMYIO7iuts2vK1+Rp0FvWNhzjYoOgR5G1TX7N41EOJIQ7H/R9i9Ek6/FvqO9Py8ZyTC3m/h23/B4Mkw6jLvXI9TtR0qS9vWKimE6FAS9AkhREfLWw8BodBnRM228AEwcqZ61LbvO/gyHb58DPqNhTOug/G3eTb275JH4eA6+PDXkPIVRA71Tv33fguf3KdaJ5NWg3mYd8oVQrQrydMnhBAdLX8DRJ0JBr/m953yB5izXSVdDgyHlX+DRed7losvIAhmvwY68O4vVSLntig+Ch/8Bl65FMoLVdd1xu1QWda2coUQHaLHBn3OtXclXYsQokPZq9T6r1FneX5M+AA4JwXuWgb3rIPL/6kCxmq7CuZ+eheqKtwfax4GVz+vAs0nRkHmXbDhP6o72VPVdvhxCTybAJsyYOqf4O4f4JoXVLnLHvC8LCFEizhm7oIX1t6ViRxCCOFFzebpO7wVXpgM1yyGcTe07WS2/fDG1WrWb1h/SLgDzk6G0N4N9925DDa/D7kr4dRRta3/GTB8Ggy7QI0h9DOCIUDN9vULUK8L9sBnc1VwN+x8uOwJ6BtXU+7yv6rUM9e+CGfObtv1CCEaJRM5hBCiq8nfoH5Gt6ClrzGmQXD3WrCuUku3fZmuJm7cuUx1H9cWd4l6VFfD4U1qckjuKvjuOVjzdNPnCRsA170Ep1/XMGH09PlqObj//UGdsyWTTUSHyczMxGq1kpyc3ORSZM4UJBaLpV1z0nXUeURdEvQJIURHytugJnH0Hu6d8gwGGG5Rj6M71FJs/ceq93ZlqckikUPq7h81Tj3OuxfKi+BgDlSWgL0C7JV1fxr8VbAX1Mv9+f0CIPFl+Pd5qqs5aaXKFSg6lcTERGJjY0lMTGwy6IuPj2fRokWYTKZ2Dca8dR6r1drpc+N1JhL0CSFER8pbrwIuTyZxtFTfkXDJI+q5vQr+e4/qyj3jehXg1Z4t7BQYDjEXtO28vaLhuiXwxrXwyRy4+oWWLyEn2l1TwV5tsbGx7VwT75zHubavBH2e67ETOYQQosM5J3F4o2u3OX7+8KuVMDEJtnwAz06E936lxui1h9hpcEGqWvc35/X2OYcQDjabjQULFvi6Gl2OtPQJIURHObYTqkpbNnO3LSJOg0sfg/PmwHfPqBm4CXeoGb267v3WuAvmwv7v4dP7VWAbNc675XdzWVlZpKSkkJqa6mq9ysjIIDU1FavVitVqxWazMXfuXEC1dK1bt46YmBisVisWi6VOq5dz3Fx8fDw2mw2bzdbgfFarFbPZzNq1a0lPT/e4nu6Oy8rKAmhQz9rXZTabWbp0KRkZGXXKzMzMJCkpCYvFQkZGBjabjYSEBBITE93Wa926ddhsNlasWEFBQQEVFRU8+OCDbo+fMWMGKSkpJCYmMnHiRADWrl3LvHnz6rR+tvbz6Eok6BNCiI6St179jB7fsecN66uWdZv6JwiOVNuW/QWqyuD8+1T3rDcY/NQs3kXnwSuzYEYaJNypxhF2Fq/Marht7NVwdhJUlMBbbmYgn3UTjL8ZTh2Hd29r+P7EO9W4x5MH4P2Uuu/d8YnHVbNYLCQmJpKdnU1ycjIAqamp5OTkkJiYCEBkZCRz587FarWSmprKihUrXMcnJCSQnZ0NqJawpKQk12tnWU5Wq5X09HTX8QUFBSxcuNAVqDWmqeNSUlLIzs7GYrGQkpLimqjhfGRnZ7No0SK33bGJiYkUFBSQm5sLqK7o9PR013W7+6wyMjKYMWOGax+j0djo8bXHNDolJSW5gs/Wfh5dTSf6lyiEEN1c/gYwhnlvEkdLOQM+XVdrAOe8Bk+fBZ8/AKeOeeccYX3hzs9hYIIa3/fKpWqCifBYQkKC67nZbHYbJGVmZjaYABETE+NqbXv33XeZMKFudo/arVqZmZmYTCaysrLIysrCbDZ7NOavqeOys7PJysoiMzOTgoICrFZrnXM7r6uxiRvJyclkZmYCdSdoJCQkEBkZSWRkJDNmzGi0bo0d72Q2m13PExMTXfu25fPoanpsS58zOfP8+fMlQbMQomPkrYcBZ/q+5UvTVLfvpF/Dl/+AH15QAeDVL8CYK9tefuRQuPVDNb7v83nw76lw/v0w5Y/gb2x7+W3RVMubMaTp90N7N/1+xMAWtex5W/0u3IKCgib3N5vNWCyWFp/H3XE2m43p06eTkZFBTEwMa9eudXtccywWiysYc7bK1W6tbExOTg7x8fFuj/dUaz+P9paWlsbDDz8MXkjO3GNb+qKjo9F1XQI+IUTHsFfBoc0d37XblMihcPVz8NsfVMoXZ6qX4iNtX7JN01S36D1rYfQVsPoRtXzc/nrBwIm9kP2aWs5tYQy8fpUs6+aBxMREcnJy6mwrKChwBS3XX399nZY2oE5AmJiY2CCJuLOVsLnzujvO2TrmbF1znsuTMmtLSUlhwYIFHrWymUwmV2Dr/NnU8bWD4MzMTFcXelPX1RmkpaXhWEgjr61lyYocQgjhRY2uyHF4C7xwLly7BM68vuMr1hL/uUGtHHLRA6qu3kgvs+Nz+OReKMyDCXeobdYvoMARmIRHwWkJsP1jFSTOfq190tp0Yjk5OSQlJWE2m1m0aBFWq5XZs2dz/fXXk56ezrvvvktKSgrp6enMnTuXrKwscnJyXBM5EhMT63RpOt93TuRITU0lPj6eJUuWuLoya7/vDCRr18Fd17K745xjCG+44QZXwJWRkcHs2bMxm80kJSURExPDvHnziI+Pb/I8tccmNsU5Dm/GjBnEx8fX6Q6uf3xqaio2m83VPexuooa76+pMvLEihwR9XURVQQGlOTmEXXQRml/PuhEK0ZU0GvStfxM+ulutnesuX15nsnslrHwY8jdCvzFq1Y24S9o+27esEFb+Dda+qBI4D50KMRdBzIUqx6CmwXfPw7J5apbx5U9Kvr8eKDMzs00Bl7vjU1NTmThxYqcL5FpClmHrpKorKijftg3/AVH49+vrXCi51Yq/+oq8eQ9gP36ckMmTiH4snYD+/bxU27r0qirKtmyhZO1a7EXFmK65GuPQoe1yLiF6lLwNYAwHc8ckvm2T4dNVMLbtI1j5d3j7Bpj1BEz8VdvKDeoFsx6HC/8MQRFqNY/6Jv8WTh2Bb55U6wlfNK9t5xRdQmZmJhaLhYKCglat0NHW43sKCfq8rLq8nH133kWpo2lZCw7GOGgQxiGDCRg8GOPgIQSfdRZBI+OaKQmqy8o48vgTnHjzTQJHjMB8+y859vwL7Ln6aqIWPEr4hRe2ub56ZSWlmzdTsnYdJT/+SGlODtUlJepNPz+OL15M2PnnE3nrrYROObfVAWzpxo0ce+HfVBzYj+m6REyJ1+EXHt7m+gvRZeRvUGvT+noSh6cMBhh7DYy6HNa/AWOvVdsP5qhVPNrSWhnap+n3p8+H4qPw5WNqNnBbg03R6RUUFJCVlUVMTEyrgramjnfmK3R23fbkFTyke9eL9Opq8u67n8JPP6Xf/fejBQdRuXcfFfvUo3LfPvTKSgAC4+LodcXlRFx+OQFRUQ3KKtuxk7z77qN81y4ib7uVfnPmYAgMpDw3l4Nz7qN8+3bMv7yNvnPmYDA2nA2n6zrl27dTuHw5pRs2oJdXoFdWNnjYT5xAL1ODpgNHDCdk4tmEnD2RkAkTQNc58c5STrzzDvbjxzHGxmK+5WYirroKQ0iIR59JSU4Ox55/gVPffINfRATGoUMp3bgRQ2gopsTriLz1VowDB7bhUxeic3HbvWuvggWnqeDFuUxaV/XSJXBgLST8Uq3AET6gfc5jr4KlN8POZTD7FRWACtGDyZi+NmiPoO/IE//k+JIl9J1zL32Skhq8bz91ivIdOyn++muKv/iC8m3bAAgaN47Q86YSdu65GELDKFr2OceWvIhfRATRCx4l7Lzz6pRTXV6uWgDfeIPA0aM57YknCIwZhq7rlP30E4XLl1O0IovKffvAYCBozBgMYWFoAQHqYTS6nvuFhxMcH0/IxAn4NzKdvrqigqLPPqPg9Tco27IFQ69e9LrkYoyxsRiHDME4dCjGgQPRAmq6ak79+CPHnn+Bku+/x89spvedd2D6xY34hYVSunkLBa+9RuFnn0F1NeEWC+bbbyd4/Flt7goXwtfcBn2HNsO/p6jExWe6Sf7blRQfha8WwrqXwc8Ik++BKb9XrX/eVlECb1wDeTlwc2bb1wgWoguToM8NTdMSARsQA2Tpum51t5+3g76Ct9/h8MMPEzJlCsFnjaMqL5/oBY8CcHjBY5zIyEB3dpsChrAwhr3/Hic//piCF1+q6VJ1XofRyPAvVuNvNnPwvvspzcnB0KsX/mYzfn16ExgTS2BcHPkPPIC9tJSwKVMo3bwZ+5Ej4O9P6KRJhF88g/Dp0/Hv3dsr16jrOqXr11PwxhucWvMt1YWFNW/6+REw8DSMQ4ZQXVRM6fr1+PXtQ+877yLyhuvdtgxWHjrEibf+w4mlS6kuLMQ4PJaQ8eMJOuMMgs84g8ARI9D8ZQSC6FrcBn1daRKHp47nwqr/gy3vwxVPQ8Lt7XOekgJ45TK12sXtH3fMusVCdEIS9NWjaVoMkKLreqrjdYau626/Vrc16KvYu5eAwYPRNI38Bx/CVnsdQU0jICqKmM8+xRAYyMmPP6Fs82b8IiPxizRhCA5BCwig18xLACjJWU/J2rWU5mRTtjuXkAkJhE4+F9PVVwFQ8NprlG3div1kIVUFBdiPHcM/Koqhb71J5eHDWC+bRfWpU+rUQUEEDBxI2NSp9P+zWnLn1Lff4mcyETB4CH5hoa2+5tp0Xcdus1Hx889U/LyXir3On3vRy8qIvOkmTLMTMQQFNVtWdUkJtg8/pHjVaso2bcJ+8qTrWoLGjCH4jDMIOn0sgbGxGIcO9bhrWQhfcBv0fTIHNi6FP+/rOmP6PJW3QeX38wuAze+BZoAxV3t31u3Jg/DSxVBmg5mPwfhbZFav6HEk6KtH07S5gE3X9cWO17m6rrudKtfSoE/Xdco2b6FoZRZFWVlU7M5laEYGmr8fP//iRgyhofS5+26CzzyTwOGxGIKDvXNRHijdtImKffupOnSIyrw8KvPyMA4bRv+59wOw89wp2B1JKf369ME4eDC9Zs7EfNutAJRbrQScdhqGwMAOq3NjdF2ncv9+Sn/aRNmmn9TPrVvRy2sSxQZER2OMicEYM8zR4jmCoJEjMYR6J6AVoi3cBn1LpoN/kE9Xa+gQr10Je75U+fZm/E2lZPEW23744New9xsYOUu1Lob19V75QnRy3Tpli6ObdqKz1a7ee3MBK2AGcAZ5QG/H9tr7mnRdt9EKenU1R598kqqCExRlZVF98iT4+REyYQKR19+A5u/H/pRf42c2M/Sdd9otjUpzgh3doY0Z/PJLVOzdR8XevVTs20vlz3upPlUMQHVpKdZZl6vWyYEDCYyJwRgbQ/h0CyHxHb9ygKZpGAcPxjh4MBGXq4XR9cpKyvfsocK6h4o9VspzrVRYrdiys9FLS50HYhw2jKAxY2oeo0fhFxGBruvo5eVUl5ail5RQXVZGdUkp1UWFVB46TNXhQ+rnoUNUHjpE1aFDVJeV1YyB9Pd3PSfAH+OgwYRPn0bYtGmNjoMUwsVeCYc394wZqLd+oJZeW/UIvDoLRlwCF/9d5eBrK9Mg+OX/4PvnVK6/5yfBlc/AqMvaXrYQPUSnC/o0TbMA8cAM6gVwjvfTgbW6rmc6X2ualuh8jSMQbAtd1yn+8kvKd+dyfMmLdd+026nYs4eiVasoeOtNqktKGPLWWz4L+DwRNGoUQaNGuX9T04h+/B9U5Fopt1qpyM3l1Jo1BPTvT0j8eCr272ff7XcQOHw4gXEjCByhHsbYWLfBolWGAAAgAElEQVSzhtuDFhBAUFwcQXF109zo1dVUHTpE2Y4dlG3dStm2bZTkZFP48cc1x4aEqMCwmRZtP7MZ/wH9CYiOJjh+vOpCrqpyzHKuqjPjuWzzZopXrwbDfILjxxM+3UK4ZTrGQYPa5fpFF3d0O1SVda7l19qLwU91vZ5+Hfzwb/j6STi53ztBH6iu8XN/B7HT4f1keOdGdb6Zj7XPRBIhuplOF/Tpup4FZGma1htwt/hecr3WvxVAKpAJHK+3r7klrXy6rlO8+guOPf88ZZs3E+BIJRKbtQK9spIKa00rU7nViobGwH897VHOvc7KEBRExKxZdbbpVVXodrt6YbcTfNZZlO/aRfG334Ij5cxpTz1Fr5mXUJ6bS1HWSoJGjSRw5Ej8+/fvsBm4msFAQHQ0AdHRhF90kWt71YkTKgjcshX78eNoIcEYgkMwBAdjCA5CC3a8DgslYMAA/Pv3b1HXtjMdTlHWSopWruRIejpH0tMJHDmSPinJhF96qcxCFjXyNqifUT1oAkJAMEz9E0y4EwJ7qW2rH4XKUjjvXgiObFv5/cdA0ir4YgGseQr2fAWJr8LAhDZXXYjurNMFfU3RNM1dxsYCwOJ4nokKANE0zQR4vFpyydq1HF7wGGVbtxIwcCBR//d3ir7+Gt1ud+WRCxw2jPDp09t2EV2A5u/vmjVrHDqU0554HFDdrBV791K+axchE9TNtXTjTxx98knXsYaICIJGjiTq0UcxDjwNe3ExBqMRrYNaBQH8IyMJmzKFsClT2qV8TdMIGj2aoNGj6fu7e6g4cIDilSuxffAhB++dQ/hnnzNg/kP492kmAa3oGfLWq8DH3AMTwgZF1DwvPgLZr0LO63DeHDg7GQKan+jVKH8jWBzLw72XBK/MhFn/hPhb21xtIbqrLhX0obpuC+pts4Fr7J5V07TsWl3EDcYDNqa6tBR7cTFRjzxCxJVXgL8/R//1DCETJ3qv9l2cFhCgunmHD3dtM117DeGW6ZTv2kXZ9u2U79hJ2Y7t+DkW3D7+4oscf+llAocPV4HSqFEEjRlNcHw8WjeZxWgcOBDzL39J5M03U/Dqqxz91zNYZ11O/7/+lV6Xz2pVq59eUcGp776j+OtvCBw+nF6Xz8IvLKxFx7c00K4uLaUyPx/jsGHSUulN+Rsgalz3m7XbUlc8BRPvgqw0WPEg/LAIrn5OrbvbFoMnQcqXkHE7/PceFWTPfEwFhUKIOjrt7F3H2D2TrusptbYlAkt0XY+stc0EnABiG8vJ50792bu6roPd7mrhqjhwkFyLhf4P/hXzzTe3/YJ6qJK1ayn+6ivKtm2nbNs27MePYwgLI+7HH9AMBk68sxR7YaEKCMeO6RYTI8qtVvLnPUDpxo2ETZ/OgPkPEdCv+TGf1eXlnFqzhqJlyyhatZrqoiK0gAD0ykq04GB6zZyJaXYiwePHNwjKdF2nwtHVXrRyJWWbNhEYF0fYhRcSduGFBI87E83Pr8E5qwoKKF69mqKVqzi1Zg16eTm9rryCqPnzZTZ0KzWYvXt0J1Se6hlj+jy15ys1GePKZ6DfaKg4BQEhbUvDYq+ClQ/Dt/+CQZPg+tchvL/36iyEj3XrlC2NBH0WIKNe0BcD5AKRLRm/Fx0drefn57tez58/n7S0NNfrk//7H3n3z2XYhx80PglCtFjl4SNUHjzomhm8/9e/ofiLL1zv+w8YQPi0aQx46EEA7IWFGMLDu1zLk263U/D6Gxx96im0oCAGPDCPXldeCXY79qIi7DYb1YWF2E+epOp4AafWrKF49WqqT53C0KsX4dOn02vmJYRMnkz59u3YMjIp/OQTqktKMMbEYEpMJOLKK6jYt5+ilVkUZ62kYu9eAILOPJOQiRMo27yFkuxsqKrCLzKSsPPPI+zCCzHGxHLqm28oWrWK0vXroboa/+gowqdbMAQFcvyll1W3/lNPNpg8I5rnNmWLaFrGHVCYB5Y0GDK5bWVtyoSP7oFgE1z/BgyS3hrRNaWlpfHwww/X3pSv63p0W8rsakFfPJCt67rW1DZPNJenL//hhyn838fE/fC92xYS4T32kyddLYFlW7fi368v/e935Bg87zzQIWjMaJWGZexYgs8c16lnS9dWvmcP+X/5q1pRJSSkwcorTn4mE+EzLIRffAmh55zttmu2+tQpCj//HFtGJqUbNtS84e9P6DnnEG6ZTti0aQT0r2ndsBcWqoDyiy8o/vIr7Laa70WBo0cTPm0a4ZbpBI4a5QqsT33/Awfvu4/q4mIGPPQQpmtlzdOWkKCvFbJfhdULoPgQxF0K0x9UCZ9b69AmeOdmKMqHyx5X6wQL0cX1uJY+x/YT9Vr6LECqruszWlK+s6Wvfgufk/XKq/Dv14/BLy5p3QWINtPtdk78523HTNwtlOfmgt2O+Ze30X/ePPSKCo4+97wrGAw4LbpTtgjqdju2zPco370bv4gI9TA5fvbqhSEiAuOgQS1acq58924Kly3DOHQoYeefj1948+kqdLud0o0/UbHHSsg5kzAOPK3RfauOHuXgffdT8sMPRFxzDQMeerBBwnFXwvIVKyjbvBnzHbc3WCe6J5Kgr5UqSuCHF+Cbp6G8EK5ZBONuaH15JQXw3l2Qu0pNGrl0oaziIbqkWi1+Paulr9b2Onn6ar/2VFMtffbCQnaeM4k+v7uHvr/9besuQHhddVkZ5Tt2YAjvRWDMMMpzc7FedTVUVQHgFxFB0Ngx9E75NaHnnK3SzhgMnTIQ7Ap0u51jzz3PsRdeIHB4LKc99RTGoUMpXb+eohUrKFyxgqq8fPDzw88cif14Af3uuw/zHbf36M9cgr42KimAb5+BSb9VK24c3aFSvIS1onW/2g7L/qKCyUsehcl3e7++QnSQbrkih6O71gIkAmZN03KBLF3XcwB0XU/VNG2uY1JHDJDb0oCvOaUbNoCuExIvOZ86E0NQEMHjxrleB8bGMjJ7HeU7d1G2ZYvrgV4NwKlvvuHg3FQ1W3jsWIIcj4BBg3p0UOIpzc+Pvr//HcEJ8eTdP5c9ibMxhIZiP3YMzWgkdMoUwu/5HeHTLkIzGsmb9wBHFi6kfMd2Bvztb51iWT/RBYWYVSoWp//9AfI3wqTfwLm/V2P1PGXwU8Heyf2w/EHofzrEXOD9OgvRRXTalr721lT37pGnnuL4khcZufZHtTKD6JJKt2zBtvRdyjZvpmzXLldi6WEffUjQyJGUbtpE5f79KhAcPFgCwSZUHj7C4ccWgA69Lp5B6PkX4BdWd3avrusce+EFjv3rGYLOPJOBzzzTZcZeepO09HnZ8VxY/Qhsfg+CTDD1j3B2ChhbcG8uL1LrH5ccg+QvwDS4vWorhNf1iO7d9tZU9+7eW2+juqyMYRnvdnCtRHuprqhwtQiarrsWzd+fQ3//P0689RYAhvBw19jAfvf+qUXj60RdhStWkJf6Z/xCQxn47DN1Wmd7Agn62kn+Rlj1f7BruZqccXZSy44/tguWTAPzMLhzmVo1RIgupFtP5GhvjQV9ekUFO84+h8gbrqf/vHk+qJnoKHpFBeW7d1Pq6hreir3wJMOXLQMg7y9/oXL/AdUt7AgIjUOHdJuk0u2pbMdODtx9N1VHjjAgLY2Iq6/qMZ+bBH3tbN8PKtl1QBBs/a+a9HHmL8DPgy9qOz6Dt38B426Eq1+QiR2iS/FG0Ncz7sJu5OXloWlag67dsm3b0MvKCB7vbsU30Z1oRiNBY8YQOXs2UWlpDMt4l9jPPnO9HxAVTXVZGSfeeou8++/Hetll7LutJvVD8ddfU757d806xcIlaGQcQzPeJXj8ePIfeICdZ5/D3tvv4MgTT1C4fDmVhw7RU79wijYafE7N8m2bMuCju+H5SSo/X3V108eOvBQunAcb34YfJTOD6BrS0tKcw4/a1LUL0tLXYPvxV17lSHo6w7/60qNVFET3p1dWUm61UrZ5C1pQIBGzZqHb7eyYMBG9tBQtOFgtLzd2LOHTpxE6uY3JZbsRvbKSws8+o3TDBkp/2kTZjh2usZV+ffsQPG4c5ltuIXTSJB/X1Hukpa8D6Tps/xhWPQJHt0G/MTBzQdNLu1VXwzs3we4VcNNSGG5pfF8hOpFuOXvX10pzsgkYNEgCPuGiBQQQNHIkQSNH1tqoMezdpapreOtWyrZsxfb++/iZTIROnoy9sJB9v0qqSSo9ZiyBcSMwtHA93K5OCwgg4soribjySkAtNVe+Y4cKADf9xKnvvmff7XcQOnUq/ebcS9Do0T6usehSNA1GXwEjL4MtH8AXC6CsUL1nrwSDf8MuXIMBrl0Er8yCpbfCbf+VVTtEjyEtfbXous6uqecRNnUq0emP+ahmoqvS7Xb0igoMwcFU7NtH/oMPUbZ1K9VFRWqHgABOW5hOr0svperECSr2/EzQqJE9eoZ4dXk5J976D8cWLaL65El6XXEFff/whyYTR3d20tLnQ/YqlaZF0+CLx2B3Flz0F9XyVz/4KzoML18CpSfgzs/VGsBtseUDyHoYfrUSQnu3rSwh3JAxfW3gbkxf5d692I8fJzhexvOJltP8/FyrVhgHD2bIa68S9+MPxK5YzmlPPUnvO+4g0LGW7ak137L3ppvYkTCB3MtmcfC++zn+0stUFRT48hI6nCEwkN533sHwFcvpnZRE0fLlWC+9lMMLFlB14oSvqye6Gr9aLXuRw6AwH964Gl6dBXu+rrtveH+47UPwD4I3roETe1t/3mO71Xq/J/bAzs+a31+IFpAxfV7grqXP9v4H5D/wADEf/4/A4cN9VDPRE1SdOEHp+vWUbVXrDZdt20ZVfj7DV68iICoK2/sfULRqJUGjRxM0egxBY0bj379/t88lWHn4MMeefRbbe+9jCA6mz29/i/n2X3ap9a+lpa8TqSqH7Nfgm3+qdXin3ls38TPA4a3wykwI6a1SubR05Y/KMnjJAicPgCEABp0Nv3jLe9cghIOM6fOykpxstQ5qTIyvqyK6Of/ISMKnTSN82jTXtqqCAvwi1bLS1aUlVOzOpXjlKjVYHfDv25fhq1eh+ftTtm0bWmAgxiFDulRA1JyA/v2J+vvfMd9+O0f+8ThH/vEPipYvJ2rBAgJjhvm6eqKr8Q+Ec5Ih/jbIflXN/AWw7VNB2pBzof8YuDkTXr8K3rwObv8YgiI8P8fyv8KhTXDTu7Dzc9i4VAWCzhnGQnQiEvTVUpqznpDx43tMPjHRufibza7n5ptvxnzzzdiLT1G+cwdlW7dRdfyYK2n04YULKfnuezVzOC6OwNGjCEmYQMQVl/uq+l4VGBvLwBeep/DTTzn8t7+z55pr6PvHP2K+7dZuFeSKDhIQBJN+XfP6u+fgh3/DsPPhglQYOhWufwPevgHevhFuec+z5M1bP4K1S2DyPRB3idq27mXY+43MChadUo/t3q2/DFvViRPsmnwufe+9lz7JLcz0LkQHK9+1i9JNmynbvo3ybdsp276d4DPOYPDLLwGw/+57MAQFETR6FIGjRhM0aiT+ffr4uNatU3X0KPnz0yhetYrg+HiiH30E49Chvq5Wo6R7twuoKIHsV2DN01B8GIZMhQv/rJ6/9yuVz+/6N8BerrYVH3X8PAzFR2p+/vwN9I2DOz4HfyNUlkL6MBh/C8x63NdXKboJWYbNC+qP6StatYoDv72bIW+9SUhCgg9rJkTL6bpOdXExfuHh6LrOwd//ntItW6jKy3ftE3nTjQx46CF0Xafo888JjIvDOHRol2g503Wdwv/9j0P/9wh6RQX9/5xK5C9+4etquSVBXxdSWeoY8/ckjJwJVzytkjZ/eh/4Baqgrz7NACF9IKw/RA5ReQFrr+X79o2qu/ePm2TFD+FVMqbPi0pzclQ+ttNP93VVhGgxTdPwCw93PR/4zDMA2G02yrbvoGz7NgJj1eSkqvx8Dv7pXrVvYCCBI0YQOGokpuuuI2T8eN9cQDM0TSPiyisJOWcS+X/5C4fSHsY4dBihk87xddVEVxYQrLp9E26HqlK1bcCZYI6BvqNg4EQIH6Amd4T1V4+Q3iotTGPiZsKOT+HwFhgg/5+IzkWCPoeS7ByCxo7FEBjo66oI4TV+JhOhk86pExz59+vHsA8/oGz7dsq376Bs+3aKs1aqlUTGj6d040YO3juHwJEjCRo1ksA49TNg8GCfj3cN6N+Pgc/8C+tVV5M//yFiPvoIQ5AMmBdtFBBUM/Gi7KRK7LzjUyg8COfdBzHTVFJnTzjH9u38TII+0elI0IdKEFu2eTORt93q66oI0e40f3+1bNyoUa5tuq671i3VjEaCx42jbOcOir/8EhxrCw9543VCJk6kdMsWStdvIGhkHIFxcfhFtGCmoxcYgoOJ+tvD7Lv9Do499xz95szp0POLbi7uYojJgZ+WqlQv794KQ6bA7Z941l0bPgCi42HnMjj//vavrxAt0GODPmdy5vnz5/PXP/wB0+zZhF1wga+rJYRPaJoGjrF9QaNHc9o/nwCguqyM8t25lO/YTuDoMQCc+vobjj71lOtY/6goguLiiP7HQvx69cJ+8iSGkBC0gIB2q2/opElEXHctx19+hV6XXkrQmDHtdi7RA/kbIf5WGHcjbP0QKk6pgK+6Gja/B2OuUvs0ZuSlsPpRNQEkrG/H1Vt0S7Umckhy5tZyl5xZCNE8XdepOnKU8p07KN+xg7IdO6n4+WeGLn0HzWAg/8EHsX34EYHDhhE4ciSBcSMIGjWKsPPO82o97CdPkjvrcgL69WPou0td6Wx8TSZydGO7suCt66DXaTDlDyr/n7vULvkbYdH5cNVzaiavEF7gjYkcEvQJIbyq+Js1lPzwPWU7d1K+YydVhw4RMHgww5cvA+DI449jP3VK5ReMiyNwxAj8evVq1bkKP1/GwT/+kX7330fvu+7y5mW0mgR93ZiuQ+4q+Opx2PcthPaFSb+BSXfXTcas6/DkWIgeL6tzCK+R2btCiE4nbOoUwqZOcb22nzxJ1dGjrtcVBw5yas0abEXvuLaFX3wxA//1NABFWVn4D4gicHhss5M0wi+5mLDp0zn6r2cIt1gwDhni5asRohZNg+HT1WPvtyr4y3kDzv2Der+qQnX7apqa0CGrc4hORlr6hBAdTtd1qg4donznTsp37cKvTx9MV1+NXlXFjvHx6JWVoGkYBw/GOGI4EZdfQa+Zl6gJJ5WVaMaa8VSVhw9jnXU5QaefzuBXXvb5+sTS0tfDlJ1Uy7ZVlMCzE9VEkMn3wPFc+M9stbqHrM4hvEBa+oQQXZKmaQRERREQFVV3ApXBwLCPPqJ81y4VEO7eTfmuXVQe2A+A/dgxdl00DePQIQQOH0HgiOEEDh9B75QUjj7xBCfffx/Tddf56KpEj+Rcp7eyVLUArn9TrfM76nKV4HnH5xL0iU5DWvqEEF1G1bFjFLz+hgoKd++m8sAB0HWiHn2Ek+9/QOm2bYROnkzw2DEYhw8ncPhwjIMGdegkD2np6+GKDql1fde+BOWFKqHznB2yOodoM5nI0Qb1194VQnQ91SUllFv3EBAdhf3kSayzLscQEkJ1cbFrH81oZPBrrxIyfjzl1j2U795VEwy2Q1oZCfoEAGWF8Pk82PAm/HoNWFdD2AAYew34SSeb8JysvesF0tInRPez7867qMzLY9h7mY4AbzcVubsx33kn/mYzxxYt5uiTT6qdAwIIHDoEY+xwotLm42cyYT95Ei04GIOxiRxszZCgT7gUHYInRsJFf4HtH6tULhGD1Yzf+FshMNzXNRRdiIzpE0KIWsKmT+Pw3/+PysOHCT7jdILPqLsMlvnWWwidMoWK3N0q6XRuLuW7dmEICwPg6NNPc+KdpRgHDVLdw7GxBA6PpdcVV/h8gojogmqvzpH0hVqa7dtnYdk8+OIxuOoZlehZiA4iQZ8QotsIn6aCvqKVKwmMiWnwviEkhODTxxJ8+lj3x198MX4mkwoIrbkUf/kl/n37EnHllQDkPzSfygMHMMbGEhgbgzEmhpCEBDTHaiZCNOBcnaPkGIyapR4HsuG7Z6CvYynEY7ugqgwGnOHbuopuT4I+IUS3ERAVRdCYMRSvXEWfpKQWHx86aRKhkya5XuuVlVQdP+567RfRi7ItJ7G99x56SQlaYCAjc7K9UnfRTcXNhNWPwK7lNatzDEyA2a/W7PPlQtj0LsRcqNK9xE4Hg8EHlRXdnQR9QohuJWz6NI49+xxVx47h36dPm8rSAgIIGDDA9brfnDkwB/TqaqoOHaIyP19a+UTTBpwBvQbCjs8aX5LtsoXQfwx8/294KxH6jITz74Mzr+/YuopuT75KCCG6lXCLBXSdotWr2+0cmsFAQHQ0IQkJ7XYO0U04V+fIXa1W53AnOBKm/gn+uAmuWaxW8DiyTb1XXa0mhAjhBRL0CSG6lcC4OAJOO43irJW+rooQStxMqDwFP3/T9H7+Rhh3AyR/CRfOU9t2LYcnT4f3k+GgDCUQbSNBnxCiW9E0jbDp0zj13XdUnzrl6+oIAcPOh4AQ2Pm5Z/trmgoAAfqNhol3wfZPYMk0eHEGbH4Pqu3tV9/20EPTw3U2LQr6NE3r1V4VEUIIbwmfNh29ooLiNWt8XRUhVHdtzEUq6Gtp8BM5BC5Nh3u3wczH4NRRWDG/phx7pffr621f/gOWXOTrWgg8CPo0TVuradpSTdOu7YgKdZS8vDw0TZPVOITohkImJGCIiKB45SpfV0UIZeRMOLkfDm9p+bG5q9R6vpN+A7/Lhts/Vqt6VJXDM/Hw0d2Qt8HrVfaa/A2Qtx5OHvB1TbqktLQ0Z57QNq3GAZ619EXqun6Druvv67pe2NYTdhbR0dHoui5BnxDdkObvT9gF51P8xRfoVVW+ro4QMOIS9XPrRy0/dvmDsOJB2PstGPwgcqjaXnEKYqfB5vdh8QXwogU2LlXBYGdSfFj93Pe9b+vRRaWlpeFYPS2vrWV5EvRlOZ9omjZM07RptR9trYAQQrSH8OkW7CdPUpKT4+uqCAHh/WHkLPhhEZSe8Py4Q5vg8GZAg2V/UbN5nULMcMXTNV2/pSfgg2Q4sFa931nG0RU5gr79P/i2HsKjoC/X+UTX9T3ACSDD8Vr6ToQQnVLY1CloRiPFK2UWr+gkLnoAygvh22c8P2bD22AIgEsehbwc2JzZcJ9gk+r6vXst3P4JDJmitn8+D96+CXavrBssdiRdr9XS951v6iBcWjx7V9f19cASdwGfpmlDvVAnIYRoM0NoKCGTJ1G0cpWza0QI3xpwOpx+rUrCXHy0+f3tVWqljpEz4ZxfQ9Q4yHoYKkvd728wwNCpavYvQFhf1br25rXw7AT47nkotXnvejxRdhLs5SoX4eEt6rXwGU+CPnd3y2ON7JvShroIIYRXhU+bTuWBA5Tv3OXrqgihXDgPqkrhmyeb3zd3lZqtO+5GFdBd8igUHoDvn/fsXOfNgXu3wrVLIKQ3LJsHWfPbVv+WKj6ifo6aBXp1Tdez8AlPlmFL0TStd71tFjfbAJKBeW2vlhBCtF3YRRfCfChetZKgkXG+ro4Q0GcEjLsJ1r4Ik++GiNMa33fjfyDYDMNnqNdDp8Koy+Hrf8L4WyGsX/Pn8w9Uy7mdeb2a4RvkyLx2IFsFgROTYMxVNXkBva3YsZrIyFmqq3rf9zDc0j7nEs3ypKWvNxBb77HHzbbYdqpji2maFqNpmsnX9RBC+FZAv34EjTuTIkndIjqTC+aqVq+vH298n1IbbP8UzphdNyCzPAxVZbD60ZafN/osMMeo52UnVCvi+7+CJ8eo3H8F1paX2RxnS1/vWLUOsczg9SlPgr7Fuq5f78kDWNLeFW6OpmkWYBEwwdd1EUL4Xvh0C2WbN1N5SNYvFZ1E5BBI+CXkvA4Fe9zvs/VDNRZu3C/qbu8zHCb+CnJeg8NbW1+H4Ra4JxtueQ8Gnq0mlyyZBlUVrS/THeckjrD+MHgyHFjn/XMIjzUb9Om6/mdPC2vJvu1F1/UsoB2+rgghuqLw6SqzVNEqae0Tnch594HBH75c6P79DW9Dn5EQPb7hexekQmC4yt3XFgaDCv5u/A/8aTNc96JqVdR1eOUyyEprPCj1VPFh8AuEoAgYPEmNZzz0U9vKFK3mk7V3NU1L1DQtvZH35jreT9Y0Lbmj6yaE6F6MMTEYhwyR1TlE59IrSrXY/fQOHN1R970CK+z/Hs66sWYmbm0hZjh/LuzOUg+v1Ce6Zqxd2UkVpK15Gv51FrxxjUoq3Zol34qPqFY+TVNBH0gXrw+1dO3daZqmLdA0bZljebYXWrI8m6ZpFk3T5qJm+TYYc+cIBK26rmfqur4YiNU0LbEldRRCiNo0TSNs+nRO/fgj9qIiX1dHiBpT/wQBIQ3H521cCmhwxvWNH3t2klqZY/mDUG33br2CTXDj2/DHzXDhA3B0J7x7G+z4VL3fkhRIRYdqJpyED1B19jRfX+5q1doovMajoE/TtF6api0HMlETNtYDKwENWOgIAIc0V46u61m6ri8EGkuRn6zreu3MkyuolQbG0fo3181DpgIJIRoVPn0aVFZy6uuvfV0VIWqE9lFJlbd+CPmOLs/qatj4NsRc0PTMXv9AmPE3OLIV1r/RPvWLOA0uTIU//gQ3vQtxl6rtX/1Ddf9ufAcqSpouw9nS5zR4smrp8yRw/HKhSm2zX9K8eIsnKVsAVgH/1nX9YndvOoKuTGBiayuiaVq8m80FgCugc7T+CSFEiwSfdRZ+EREUf7OGXpdd5uvqCFFj8j3w42JY/QjctFR169r2qtU7mjP6Shh0Dnz1OJx1C/h5+l96Cxn8IO6Smtdh/aEoHz5IgU/vVzOM429Ts4PrKz4Mg8+peT14kgpqj+eqSSmNKTpc0yL4wwswqNXhhail2ZY+TdMWAEm6rr/Y2D6OyRMpjn1by4wK8mqzOergcfoVR3fwBGB2I4GkEKKH0fz8CI6Pp1TW4RWdTbAJpoJa//QAACAASURBVPwBdn6uWrQ2vg0BoTD6iuaP1TSY8kc4uR+2/bf96+qU8Ev4XY5a8m3kpbDhLfiy1jD98mL1014JJccbtvRB81282z8GdJWjcMuHcPKgVy+hp/Kke1dzLL3WJF3Xc2gYtLWECRX41eYsr/72puqRqet6gq7rKY46CSEEIQnxVPz8M1XHj/u6KkLUdXYKhPaFFQ+pAGfMVWAM9ezYuJkq956nq3R4i6apZNHXLoY5O2Cmo82nwAr/GA7v/coRiOp1k0j3iVMJp5ubzLHtv9B7OMx6QpWx1ucZ4boFb8/ebcsCl+4WBHQGe20JJt3Ky8tD0zTXIy0tzdunEEJ0IsHxCQCUSGuf6GwCw2DqvbDvWygvbJibrykGA5zzG7W82f4f26+OTQk2qQkaAIYAGH8L7FoOmXeqbXu+hhLHf+POWbxNtfSVFKhjRl+pchqOuhzWvdL8+MFuJi0trU6cAkS3tUxPgr6WfC12M7fcYwU0nNFrAtB13esrREdHR6PruushQZ8Q3VvQ6WPRjEZKsyXoE53QhDshPBp6DYSh57Xs2LNuUilWvnuuferWEqZBMOtxmLMTzv2D2rb945qJG8dzVe7BglwoPuq+jB2fgm6HMVeq15N+C2U2ld6mB0lLS6sTpwB5bS3Tk6CvJa13rW7pc3TF1g/uzICXkhDV5Wzpk2BPiJ7BYDQSdOYZ0tInOqeAILglU6VKMbSwEy4wDBJuV12itn3tUr0WCwiqmaiRtBpCe6vnH90NXz+hnq97Wc1Wrm/rf8E0GKIcE0MGT1LPv3/B/f7dnLPFjw5q6Utx5OZr9kGt9CqttLheXr4ZqCXVvM7Z0idBnxA9R0h8AmVbt1Jd0rO6iUQX0X8sRJ3ZumPPTgY0+KFd/stsnSLHEmx9RtRsszysZvsCfPEoPD1OLUfnVFYI1tWqa9eZmFrTVGvfsZ2Q2/OSrDtb/Oiglr7eqNx8njyanHChaVq8IzlzInC9I8eea4atruupQIxjRY65QG69vH1CCNFqIRMSoKqK0p82+boqQnhXxEAYe40KoMo7SRLy4sMQZFI5BZ0GnwNXPQsDz4HIYao10O5Yi7fsJCx7QL0efWXdssZeo2YBd/SElW7Gk6Bvsa7r13vyAJqcXqPreo6u6wt1XY/VdT3S8Tyn3j4LHTNwF7ZnXj7p3hWi5wk+6yzQNEpysn1dFSG8b/Jv1USQ9W/6uiZK8eG66VpqGzpFpZq54U21HB3ArhU1iaa/ew52fFaz9Ju/ESYmQe5KOLK9/eveiXRo966u63/2tLCW7Otr0r0rRM/j16sXgXFxMplDdE+nJcCgSY6xb15emq01io9AeCNB3+DJUF0FB2t9AYubCX6B0P902LsG3v4FPDGyZubvhDvU+z/8u/3r3ol0dPcuAJqmnaVp2rWapg1t60mFEMJXQhLiKV2/Hr2qytdVEcL7Jt+tVvTY/omva9J0S9+giYBWN1/f7iywl6ucf3O2w43vqJU+Qhwjx77+p8rzt+E/NYGgaBFP1959F7VebiaQq2naXe1aqw4g3btC9EzB8QlUl5RQvnOnr6sihPeNmgWmIb4f+6brTQd9wZHQb0zdfH3b/gshfWDwueAXoFb7sKTVlHfiZziyRQWGz0+GNf/qESt1dGj3rqZp9wNWIFLXdQMwArihq7f4SfeuED1TSIKaO1YiXbyiOzL4wTm/VsHUQR+OXa0ohsqSuqtx1Dd4klp6rtoOlWWwc5kKWt2tIaxpcON/4N7taqWOkuOw4kFY95J6314FpV5P6dspdHT3bqyu63/Wdf0kgK7rVl3XL0bNwBVCiC4lICoK/+gomcwhuq/xt0BgL/jOh619xUfUz8Za+kCN66sogsNbVJqWiuKahMyNCe8PlzwK1ZVw8aNqcgeoVC6Pj4D/b+/Ooxyt63yPv3+90HSzpdJu3YpKGsFlGCBVjTTeWdQUgyAomuoWVMTRTg046hnnTtWA3rE9M1I3GY9Xz+iRKq6KznXpTkDwiqgVcZlx7UoUl9brWA8u2AhKVYCGhu6G3/3jeZ50KkmlUpXtSfJ5nZNTlWf5Pb8nSf3qm9/62dfCvlvdIFIq1BP0LRY6P9DMjIiItMuG6CAHZ3L+t2eR3nLsiW5fuH23dK7584A3R1/NoO9c9+dvvutOyHzsSfDsP1867VOHIbwFfnoznLjJ3RaOwNCb3KXo9lwB7zvNnQj6UYUqpZq9DFvXUJ8+kf61YTDKkT/8gcN3393prIi0xjkJsE/A91s281ltD/3e/Vkr6Aud7C4796tvukuvnX6hOzXLUlatgnOvgt/NuM3D4M7397L/Ce/4GbzuZnjuhXD3DBxzgrt/363wm+915Yoe7V6RY7GvwhXbjTH/vbHstI/69In0r/XRQQAeyamJV3rUwLPcCY5zH4fHDrT/+vU074I7WfPPb3PX1i2fkLmWMy+DdSdVDlhZvQZOfSlcej1c9R03QLQWvvwu+Nj58IEz4MvvhLtzR9cDDrhm9umr0luywqgxZmOV7VFjzJaybXHgfY1mSkSkldY951RWnXACB3N5Qq98ZaezI9Ia297iNvHe+Rk4Z2d7r33gXli1xh2lW8szt8FPboJjjoctL6k//XXHw+AVbr/FB+52VyQp569hbAxc9S13suef3uwuVfedD8F5b4Xz/+Vo8Ocv+9bDGlmG7YEq22ouwyYiEgRm1SrWR8/mkbxG8EoPO/kcePqQWxvW7mbNA/fBcU85Gngtxu/X95zzYe2xy7vGOQnAwvdrLgbmOvZEOHMHXL4b/uG/4BUfhhe8yt13z53wb1H46j/D73/SNTWAK9HWZdiCRH36RPrbhuggh2ZnOTI/3+msiLTOtrfAnAO/+FJ7r3vg3sVX4yj1lOfD4BvdWrflCj0Tnncx5G6EQw/Xf976AXeE89Pd6Zt44nE3rf98P1z/IvjwOfC16wIzBYyWYWsC9ekT6W/+fH0Hf/CDDudEpIWedwmcdHL7J2s+8Pul+/OBO6/gxR84GoAt17lXu/0B7/zsys4HeMYgXHEr/P0v4KL3u/n+7kdgtTeo5NffgT/+cuXpN6gjy7CJiPSSY884A7N2rQZzSG9bvcZtBv3Vf7jNmO1y4L7aEzM3y8kvhM1ne+sNN9iEffyTYeub4MovwDv2wTEb3O23vQM+NAgfPAu+noR793VtE7CCPhHpS6vWrePYM87goFbmkF4XvcIdKNGuyZqfeBwe/kN9NX2NMsat7bv/v2D2q81Ld5031cujD8Dqde7v87+Cr0/AR7bBF/7u6LFdFAAq6BORvrVhMMrBn/6UJx7V7P3Sw9aH3D5sP7np6Px5rfTI/e4cge0I+gCe/0o4/mnNb8J+ZA4++Qq498dw8Qdh05+CWe32QfRXDnngbvjgn8KXrnUnmQ74PIAK+kSkb62PRuHwYR798Y87nRWR1nrhKDxxpL6Rro2qZ2LmZlpzDJzzZncptvt+1pw0D9wHN77cbcrd8SkYvBKu+Lzb9zD/SXjYW7fisQPuYJS9N8DH/gre/1z4wjvcYDCA+jbo0+hdEdlw9tkAPKImXul14Qg89yKY+SgcemT55z/2EHzjX+Gb74Mffhpmvwb3/dxt/ixv3qx3YuZmGnwjrDkWvnd942k98Dv4+IUwfxe8dg+cfoG7fX0IXv85eNZ5cPNON/h7ynO9aWBm4dUfdfsY/mg3rFrrnvOr/4RffAWOPLbi7DRz9K7p17Unh4aG7MzMTKezISId5lx8MWs2beKZU81ZrmpoaAiVLRJIv/42fPxl8PL/BUN/Xf95hx+FT4/AXd+svn/tce4auCd4j4Pz8MtpeNsPIXxKc/Jej8+/FX60x12KbcMKpw2e/xV84hK3afe1aXjWtspjDh+E3a+DX2bhgiSc+zcL9x85dHQ5uc9c5i4xt+5EOO0CeNHb4Wl/sqKsGWNy1tqhFZ3sqWdFDhGRnrU+OsiDt93GE4cOseqYOtb9FOlWz9wGm85yR7pGr1x64mSAx4/ATW9yA75LJ90pYB66x308eA88tN9tzn1wv7vtN991fx73ZDcAbKcXXuXWvuU+Dn/298s//4+/hE9e4s7594Zb4emD1Y9bux5e82nI/DV8aRwOPwJ/9o6j+0vXDx65EZxvwM9uhZ9/0ZtQunMU9IlIXzshFqOwezcH7riDEy+4oNPZEWkdY2Db38LNb3ZrqU47v/bxTzzh1p79/AvwshSc+Rp3+8Yt7qPWefYJd7qYdnrq8yHyl26/xfPeBqvX1n/uvfvcQRtYuPK2pWvj1qxzA7pbroKvvset/XvxtZVLua1Z577Op50PLz8CprO96vq2T5+ICMBx521jzaZNFNKZTmdFpPVe8Eo4YTN898O1j7MWvnwt3Plp+Mtr3YEg9Vq1qv0Bn+/cq92axn231n/O/h/AjRe6E0Vf+cX6m19Xr3VrP6NXwDdT8JV31Z6+ZfWa+mpXW0hBn4j0NbN6NaFXvYqHv/1tDv/ud53OjkhrrV4L5+wE5+tw708XP+6b/wrf+4jbZPoXY23LXsNOHYaNp8J3Plzf/Hm/+a7bh2/dCfDG2+HJpy3veqtWw8s/COeMwnc+5E7kHOBpW/o26NPoXRHxhV51KQCFmz/X4ZyItMHglbB2w+KTNX9vEr72Xjjzcvir6yqbLINs1Sp44d/A/jzcvbf2sc434N8vdVcOeePtKx90smoVvCwJ/+3vYOZjcOvVbl/IJmnr2ru9Smvviohv7dOfznHnnUfh5puxjz/e6eyItNaGMJx1Ofx4z9HpVXx37obbx+D0i+CSf+t4c+SKnHkZHHtS7cmaf/EV+NQIDDzbbdI96RmNXdMYeOm74cXvgjs/4w5+OXKosTQ9WntXRKTJQiNxjtxzDw9/+9udzopI673wKnj8EOz96NFt/+92d2DCKX8O8Y91rl9eo9YdD9E3wL7PQ+G3lfv33QqfvRye8jx30MYJTZpP0Bj4i39wa0f33QJ7Xu9OdxMgCvpERIDjX/ISVg8MUMjc1OmsiLTek051543b+7/dwOSu/4A9b4BNZ7rTkaw9ttM5bIw/NcreshVIfrQH0m90V9Z4w+dXPp9fLdveAhe9H37xJfjMDncKmIBQ0CciAqw65hhOesUreOiOOzhy//2dzo5I6217CzzyR5j+J3cS4fAp8Lqb3EEN3S50MjzvYsjdeDToyt0INyfg2S+C193sNgG3ytY3wSuvd+c3/D+vhkcfbN21lkFBn4iIJxR/NRw+zAO3fr7TWRFpvWf/GTz1DPj+JGwYcJcYa0XNV6ece7W7TNwPP+1OSP1/3w7PGYbL97hNwK121mVuM/nde91Jnx+Za/01l6CgT0TEs+7UU1l/1lkUMhn6dYlK6SPGwEv/CTafDa+/BU5seHBosJx8DmyOQvY98KV/dGv+dnzKXVGjXV5wqXvNe/fBJy6GA39o37WrUNAnIlIiNBLnkONw8Ac/XPLYxw88zOF771vyOJHAOu18SHy99gob3coYtwn70ENwxnaI37hwibR2Of0CuHw3zDnu2scdDPwU9ImIlDjxggtYtWEDhUztFToOfOtb3HXJJdxzzT+2KWcismx/8mpIfAMuvb6zo5G3vNjtR/iMrbB+oGPZUNAnIlJi1XHHceJFF/Lg7bfz+IEDFfsff/BB9r/znfz2TW/GrFvHk/72rR3IpYjUxRjYfJa7ckanPWsbXPqRjgaffRv0aUUOEVlMKB7HHjzIg7d9ccH2h+64A+eil/PALbeyMZHglFs+x4bo2R3KpYj0g2auyGH6tbPy0NCQnZmZ6XQ2RCSArLXcdckrMOvXc8qe3RyZm+Pef3kvD37xi6w7/XQ2Xfde1r/gBVXPHRoaQmWLiDSbMSZnrR1qJI0unW5bRKR1jDGERuLce90Ef7z+euY+8UkeP3CAJ73trTzpzW/GHNOBzuAiIg3q2+ZdEZFaTrz4YszatfzhAx9k7TOewSk3ZXjy1Vcr4BORrqWaPhGRKtYMDPDU//Eu7GOHGLjsNZg1Ki5FpLupFBMRWcTA9u2dzoKISNOoeVdERESkD/RcTZ8xJuH9OggkrbVOJ/MjIiIiEgQ9FfQZY6LAjLU2b4yJAWnc4E9ERESkr/Va824EGPV+n/Gei4iIiPS9jtT0GWPiwFZr7XiVfWOAA4QBrLVT9aZrrc0YY7Le0xiQrXW8iIiISL9oa02fMSbmBXWjQKjK/iTgWGszXrC3xQsQ62atLXi/7gB2NppnERERkV7Q1po+a20WyBpjNlIl6AMSZbV/08A4kIHiII1q5+W9tPGOGwN2lgSAIiIiIn0tMAM5vEEY5eZwm2mB+pp6vZrBKWttwRgTKw0GRURERPpVYII+3D58c2XbCgDGmFA9tXZe4HgDMGeMCeMO5lDQJyIiIn0vSEFfCG/wRgk/CAzjBYC1WGvzwECT8yUiIiLS9YI0ZUu1oM4PAstrABu2f/9+jDHFx65du5p9CREREZEV2bVr14I4BdjcaJpBCvrmqBykEYIFI3KbZvPmzVhriw8FfSIiIhIUu3btWhCnAPsbTTMwQZ/XNFse3IVRnzwRERGRhgUm6PNMlc3LNwxMtuJCfvOuavhEREQkqPxmXprQvGu8KsO28EbXxnAnZw4DE0DWq+Xzj/FX5IgAheWsyLEcQ0NDdmZmphVJi0gfGxoaQmWLiDSbMSZnrR1qJI12T86cB/JAqsYxi+4TERERkZUJWvNu26h5V0RERIKua5t3g0TNuyLSCmreFZFWaEbzbt/W9ImIiIj0k74N+tS8KyIiIkGn5t0m6OXm3VTKHQsTCoUIh8NEIhGy2SyJRIJQyJ3/ulAoMDU1RTQaBcBxHMLhMPF4fEFa+XyebDZbPC8SieA4DolEAsdxmJycZGpqinQ6TSwWq8jLyMgI+Xye8fFxEolEcXs916917VKO45BMJpmammJsbIzh4eGKvPh5TaVSJJPJYpq5XI7x8XEikUjN1zAUCpHP5xe8hiLVqHlXRFqhGc27C2Z77qfH4OCg7TXz8/M2EonYXC63YPvs7KwF7Pz8fPG4aDRafO6bnJy0iURiQXrxeHzBMclk0iaTyQXHJBIJG4vFKvIzOztrx8bGFqRZ7/XruXZ5mu7HeXHVjsnlchWvTT2vochierFsEZHOA2Zsg7GPmnd7qHl3586djI6OFmvPfJFIZEHt2MjICKOjoxU1VolEgpmZGbJZdxEUx3FwHKfimPLzRkZGqh7rOA4bN26syGc916/32o3yXyu/ZsbP21KvoYiISDuoebcJerF51xjD7OxsRVMluAGYv90YQy6XqwhsAEZHR5mbmyOdTgOwZcsWotEoo6OjVZtvC4UCMzMz5PN57r//fpLJZHGf3zw7OzvL5OTRhVXqvf5S1y7Px8DAALU+z9WOyWQyTE9PF/NX72tYKBTYs2cPkUiEQqGA4ziMjY3VzKP0BzXvikgrdN3kzN3s99ddx2M/+3lbr7nuec/laddeW9ex+by7qEk4HK663w9W/OOqBTXgBnml/7ByuRwTExOMjo7iOA7xeLwYEJZKJBKccsopxaAvm80Si8WKtYbl+azn+vVee7n8PPmBpR/w1fsaAkxMTLBjx45i4JrJZBrOl4iISCv1bfNur/GDj7m5uar7C4XCguPKm0595bVcoVCIZDLJ7Ows8/PzgFsbVy4UChGLxZYMfpZz/XqvXUu168RiMWKxGJOTk0xPTxcHbZQ39fqy2SypVIqRkZHisaOjo4yMjDA8PEwqlaoYACMiIhI4jXYK7NZHL3a2jsViiw50SKfTdR0XiUSKx+ZyOTs7O7tgvz8Io/T59PS0tdba6elpG4vFbC6XKw54SCaTFQM56rl+Pdcu30eVgRyl913tmGQyuWAQSiwWs2NjY4umXzrgw1r3NUokEhWDTqR/9WLZIiKdhwZyrFwvDuRIp9NMTk4Wmyl9fi1f+XHl21OpFLFYrFhrNTc3x/j4+IJjHMdZtH9dLBbDcRxmZmZqDrio5/rLvfZipqena+4PhULFmr1CoUA6nSaTyVQ0S5fXGE5MTOA4DtFodEF/RRERkWbSQI4m6MWBHL7x8XE2bty4YI658mCpUCgwMTHB1q1bATfAqzZPnuM4xX1zc3MUCoXigAV/fjz/ZzQaZWpqiqGhIaLRKNlsthi4XXPNNQvSXur6S127VOk8ff4cfLOzs2QyGaLRKOl0ujgv4Pj4OJOTk2zfvr0YmA4PDzMyMrLg+n6+/dfRnyPQPy+VShVfX6Dqayz9SQM5RKQVmjGQQ0GfiEgTKegTkVbQ2rsiIiIiUhcFfSIiIiJ9oG+Dvl4cyCEiIiK9RQM5mkB9+kSkFdSnT0RaQX36RERERKQuCvpERERE+oCCPhEREZE+oKBPREREpA8o6BMRERHpA30b9GnKlvplMhlSqVTFWrnl8vk8qVSqYu1fERERWRlN2dIEmrJlebZs2cL09DSRSKTmcaOjowwODpJIJCr2la6ROzY2xvDwcMV6tY7jMDk5SSqVKq6jC5DL5RgfH6+4fiqVAliwznA+nyeRSBTPFWknTdkiIq2gtXcboKBveQYHB0mn00sGfalUilAoVDXoAygUCgwMDFDrc1ftmHw+z+DgIPPz84RCIQqFQjFP0Wi0eJzjOGzZsqV4nEi7KegTkVbQPH3SN/zAzv9nOjIywujo6IKADyASiSwacIqIiPSzNZ3OQDf59euvqNh2wssuIHz55Txx8CC/TYxW7D/p0ksJvepSjszP87u3vb1i/8Blr+HECy/k8D33sH9sfMG+Z/37J+vOWzabZXR0dEETaDqdZnx8HMdxcByHQqHA2NgY4NaczczMEIlEcByHWCy2oBYvn8+TzWaJRqMUCoWK/nzZbBbHcQiHw+zdu5dkMll3Xlcik8mQSCSKzcHZbJbJycmqx46Pjxdr+QqFAnv27CESiVAoFHAcp/gaiIiI9BMFfT0iFosRj8fJ5XLFmq7x8XHy+TzxeByAgYEBxsbGcByH8fFxpqeni+cPDg6Sy+UAN1DauXNn8bmfls/vm+efPzc3RyqVanowlc1mATd43bJlSzHI8weKhMPhqueVBq8TExPs2LGjWCOYyWSamkcREZFuoaBvGWrVvK1av77m/jUDAzX3r920aVk1e4sZHBws/h4Oh6v2wctkMlWbRbPZLLFYjD179jA0tLDbQGn/uEwmQygUKgZliwVfy+E4TkVe/Vq9WCzG8PAwAGNjYwuaeksHgmSzWfL5PHv37mXr1q2MjY0xOjrK8PAwkUiE4eFh1fKJiEjfUp8+Aahowp2bm6t5fDgcJhaLFWsYG+1Ht9Q0L8PDwwtqJmOx2ILn/rZEIlFsCvbzOTs7SzKZZHZ2lpGRkYbyKSIi0q0U9PWheDxeEWTNzc0Va822b9+O4zgL9pcGhPF4vGJ0ol/rt1LlAVy5UChUvGahUCCdTpPJZCquW57viYkJHMchGo0u2gdQRESkH/Rt864/OfO73/3unpig2R94kc/nicViOI7DzMwMk5OTJJNJ9uzZQ6FQKPa9Gx8fJ5VKFQdypNPpYhNuKBQimUySSqWKAznA7dd3ww03EIlEKvb7geTu3buLtYDlzbV+X0A4OrXL7OzsgubmQqHA1NQUAFNTU2zfvr04BUw6nWZqaopwOEw8Hmd2drbYN3Hjxo2EQiEikciC4G7jxo1ks9liE/ToaOVgGxERkaDatWsX73nPe0CTM6+c5ukTkVbQPH0i0gqap09ERERE6qKgT0RERKQPKOgTERER6QMK+kRERET6gII+ERERkT6goE9ERESkD/TcPH3GmDhQAIaB3dba2ks9iIiIiPSBnqrpM8ZEgFFrbRbYC1zT4SyJiIiIBEJPBX3WWgfwF1fdCtRe20tERESkT3Skeddrgt1qrR2vsm8McIAwgLV2ajlpW2sLXvqh5Z4rIiIi0qvaWtNnjIl5Qd0oEKqyPwk41tqMF7Bt8QK4ZbHWZoBpLz0RERGRvtfWoM9am7XWpoDFBlckvIDNN40bIAJgjEkYY8aqPGLe/qj/u3eNsVbcRzfYtWtXp7PQUr18f718b9D799frev396+X76+V7g96/P2BzowkYa20zMrK8i7o1cCFrbWlAFwW+aq0dKNuWs9aaOtNNeOmmvHPT1tot1Y4dGhqyvbwoujGGTry37dLL99fL9wa9f39DQ0OobOlevXx/vXxv0Df3V1c8tJggDeQIA3Nl2woAxpiKpuBqvCZhv0/fKEcHdYiIiIj0tSDN0xfCG7xRwg8Cw3gB4FJKBm9kah4oIiIi0keCFPRVC+r8ILC8BrBhuVzuEWPMhpJN9wD7m32dDtpsjOml+ynXy/fXy/cGvX9/UWNML08K3+vvXy/fXy/fG/Te/W0GNpU8P9xogkEK+uaoHNEbAncalmZfzFp7XLPTFBEREQmqwPTp85ZLKw/uwkC2A9kRERER6SmBCfo8U2Xz8g0Dk53KjIiIiEivaOuULd40KjHckbVhYALIerV8/jH+ihwRoKBVNfpTIyuzGGMmS6cDEmmmWisKVTm2oRWGpPlUtkhQtaNs6cg8fdK45b7h3vHgrkm815skO5C8eRz3+hN1lz+v49yYtXawxdlcsRW8dyHgGmCvd85M6ReloFnhZ9Pv2hEK6mfTm/g9itsC4Sz1z7+Rz3EnqWypea7Klg5S2VI8fuVli7VWjy57AEkgvtjzKsdPlj3PAWOdvo8a+Z0vex4Dpus4L+K9FrlO30MT37tQ6f0ACdxJxzt+L026v7Gy59EgfzZL7mmyjuNW9DkOwL2pbKk8T2VL992fypYqj6D16ZP61FyurpT3Ta58gMwk7re7wPG6AJSbw/1QLyWG+1oEWd3vnSdJSb9W636z3dmivDXDcu9vR+kT69YybG1Fxtqpwc9xJ6lsqU5lS+epbKHxskVBX5dZwRseBsaMMZGy7XWtctIBK1qZxase39PCfDVshX+s+wqukAAABcxJREFUCcpGsNsWTGHUDCu8vzljTNp/b72lFHe3In9t1vAKQ+2msqU6lS2dp7JlgYbKFgV93WdZb7i11gEGvZ++YYI7Fc5SK7Msel5QC6wSy3rvSv6ZRowxcWNMoqT/VBCtpDAaxW12ucu7tzkb8D5vdVrp57iTVLYscp7Klo5T2XJUQ2WLgr7us+w33C4cHR3i6AjqIFr2yizGmHiX/DEv970r1qBYazNe84vfaTeIVvLZdHCbmOZwm5uGW5a79mrrCkNNorKljMqWwFDZclRDZYuCvu7T6D+TNPDSsm/nQbKslVm8b6xB/xbuW+5752+bKdmWBYL6jXwl/1Qngby1dgtusLDdGJNuUf7aqa0rDDWJypYSKlsCRWXLUQ2VLUFahk3qs+I33PsWl7QBHpJvrc0bY5azMksUt4nC7/OxFQh51fmZgP0DWu57V6iyr9ikEcDgYbn/VKPevqz3c8oYkwVmW5zPllvB5zgIVLYspLIlOFS2eBotW1TT12XsCper8yZ9nPb/CBbpGBsUNVdmMcZE/P1e00TKf+CO6Cp4z4NUKC/7vfPyXyjrKB/Y2qIVfDbDlBXC3j13Q3NahdLPpaerVhhS2aKyxdunsiVgmlm2KOjrTnUXXN7zGN7Em8aYkPeHvmA4e5BYdzZyv4PxGDBb1q+mar8hb3TWiHfuWEBHSS7rvcNdtaZ0hNoOYMnZ2jtoOf9Us5RNoeC9Z4H6h+ozxkS9z2Mct6lorCzAWfC5rONzHEQqW1S2BJXKFk8jZYtW5OhSpsZydX4BZa0d9j7o81WSyFhrR9qTWylV73tXdnyRDeis8r7l3J8XJIxS8q3caqmyjlLZ0r1UtqhsWYqCPhEREZE+oOZdERERkT6goE9ERESkDyjoExEREekDCvpERERE+oAmZ5au5Q1p3wHcb61NlT/vbO5EpFupbJFepZo+6VrehJ178dZULH8O7koB3nI8y1Y2cemK0qt2fLV0RSQ4VLZIr1JNn3S78mWfyp/vbiDtGFA+r9Ny06t2fLV0RSRYVLZIz1FNn/Q0a22+gfVAh8s3LDe9RY6vSFdEuovKFulGCvpEynjLSaWpXOA7kOmKSHdQ2SKdpqBPuoK3FmGsZK3Bes6JGGOmjTHTJduixpicMSbtpRczxiSMMcmSU7cDcxxdZ3PMX1e0PL2y/MW9R2KR61dNt+T8eS9vkZJ0p40xs94apyLSZCpbVLb0FWutHnoE+gFMA5GS52NAwvs9AkyX7Ct/Hi197m2L4a7HGCrbNr3Y8yXSSwLxkuch/3n58Yul6+1LAJNl2+Kl+dRDDz2a91DZorKl3x6q6ZNA86ZKiFhrnZLNGdyFtOtRqLJtDnCstcV91tos7rfkpb71LkjP+zadsNZmSjYnONq3ptr1q7LuYuDbq2yvOw0RqY/KFpUt/UijdyXoYkChrMAMATMtuFYe99tzdhnnxACnbFsjo+eyxpi4tTbjFfoqlEVaQ2WL9B0FfRJ0BdxvzuWFZabawa1ijCmvEVjUcr49V0l3ArgB9/5iZd/yRaR5VLZI31HzrgTdDO435AX8TspNVvpNfK7KvmryNfZVUzNd607BENIkqyItp7JF+o6CPgk0r6DKV+kPM9Rg0kOlhbsxJg6Uznvl4Hbc9lX9hu19k57yR9WVpVdNPelOeo+VzgEmIktQ2SL9yFh3FI9IoHlTKRTwvs16/VIieKPbgHHcZotqz2PAuNeZ2e/AnfQe4Pbj2WqtHa9yTXCbgEqvtyC9OvJXfv0F6Va51xCQttZqolWRFlPZIv1EQZ/0Hb9gDnLB53e47nQ+RKR+Klsk6NS8KxIwKpRFpBVUtoiCPpEAMMZMerUEIiJNo7JFSinok75S0ucmVu+SS22SBsL6Ji7SnVS2SDdQnz4RERGRPqCaPhEREZE+oKBPREREpA8o6BMRERHpAwr6RERERPqAgj4RERGRPqCgT0RERKQPKOgTERER6QP/H0qIZobji6vZAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113dc4790>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.stats import invgamma\n",
"a = 2.07\n",
"rv = invgamma(a, loc=-0.2)\n",
"z0 = rv.pdf(e_lrg_cosmos)\n",
"\n",
"a = 4.07\n",
"rv = invgamma(a, loc=-0.17)\n",
"z1 = rv.pdf(e_early_cosmos)\n",
"\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4), sharex=True, sharey=True)\n",
"fig.subplots_adjust(wspace=0) # smash left and right plots\n",
"ax2.yaxis.set_label_position(\"right\") # y-labels on the right\n",
"ax2.yaxis.tick_right() # y-ticks on the right\n",
" \n",
"yscale1 = ax1.set_yscale('log')\n",
"yscale2 = ax2.set_yscale('log')\n",
"\n",
"__=ax1.plot(e_lrg_cosmos, pdf_lrg_cosmos, \n",
" label=r'${\\rm COSMOS\\ LRGs}$', color=mred)\n",
"__=ax1.plot(e_lrg_cosmos, z0, '--', color=mred, label=r'${\\rm model\\ LRGs}$')\n",
"\n",
"__=ax2.plot(e_early_cosmos, pdf_early_cosmos, \n",
" label=r'${\\rm COSMOS\\ early}$-${\\rm type}$', color=morange)\n",
"__=ax2.plot(e_early_cosmos, z1, '--', color=morange, label=r'${\\rm model\\ early}$-${\\rm type}$')\n",
"\n",
"legend1 = ax1.legend(fontsize=14.)\n",
"legend2 = ax2.legend(fontsize=14.)\n",
"\n",
"xlim = ax1.set_xlim(0, 1)\n",
"ylim = ax1.set_ylim(0.001, 10)\n",
"xlabel1 = ax1.set_xlabel(r'${\\rm ellipticity}$')\n",
"xlabel2 = ax2.set_xlabel(r'${\\rm ellipticity}$')\n",
"ylabel = ax1.set_ylabel(r'${\\rm PDF}$')\n",
"title1 = ax1.set_title(r'${\\rm inverse\\ gaussian\\ model}$')\n",
"title2 = ax2.set_title(r'${\\rm inverse\\ gaussian\\ model}$')\n",
"\n",
"__=ax2.set_xticks((0.2, 0.4, 0.6, 0.8, 1.0))\n",
"\n",
"import os\n",
"fig_dirname = \"/Users/aphearin/work/random/0519/FIGS\"\n",
"figname = os.path.join(fig_dirname, 'pdc2_ellipticity_model_lrg_early_invgamma.pdf')\n",
"fig.savefig(figname, bbox_extra_artists=[xlabel1, ylabel1], bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Johnson SB Model"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113214a10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.stats import johnsonsb\n",
"\n",
"a, b = 0.6, 1\n",
"rv = johnsonsb(a, b)\n",
"z0 = rv.pdf(e_lrg_cosmos)\n",
"\n",
"a, b = 1.5, 1\n",
"rv = johnsonsb(a, b)\n",
"z1 = rv.pdf(e_early_cosmos)\n",
"\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4), sharex=True, sharey=True)\n",
"fig.subplots_adjust(wspace=0) # smash left and right plots\n",
"ax2.yaxis.set_label_position(\"right\") # y-labels on the right\n",
"ax2.yaxis.tick_right() # y-ticks on the right\n",
" \n",
"yscale1 = ax1.set_yscale('log')\n",
"yscale2 = ax2.set_yscale('log')\n",
"\n",
"__=ax1.plot(e_lrg_cosmos, pdf_lrg_cosmos, \n",
" label=r'${\\rm COSMOS\\ LRGs}$', color=mred)\n",
"__=ax1.plot(e_lrg_cosmos, z0, '--', color=mred, label=r'${\\rm model\\ LRGs}$')\n",
"\n",
"__=ax2.plot(e_early_cosmos, pdf_early_cosmos, \n",
" label=r'${\\rm COSMOS\\ early}$-${\\rm type}$', color=morange)\n",
"__=ax2.plot(e_early_cosmos, z1, '--', color=morange, label=r'${\\rm model\\ early}$-${\\rm type}$')\n",
"\n",
"legend1 = ax1.legend(fontsize=14.)\n",
"legend2 = ax2.legend(fontsize=14.)\n",
"\n",
"xlim = ax1.set_xlim(0, 1)\n",
"ylim = ax1.set_ylim(0.001, 10)\n",
"xlabel1 = ax1.set_xlabel(r'${\\rm ellipticity}$')\n",
"xlabel2 = ax2.set_xlabel(r'${\\rm ellipticity}$')\n",
"ylabel = ax1.set_ylabel(r'${\\rm PDF}$')\n",
"title1 = ax1.set_title(r'${\\rm Johnson\\ SB\\ model}$')\n",
"title2 = ax2.set_title(r'${\\rm Johnson\\ SB\\ model}$')\n",
"\n",
"__=ax2.set_xticks((0.2, 0.4, 0.6, 0.8, 1.0))\n",
"\n",
"import os\n",
"fig_dirname = \"/Users/aphearin/work/random/0519/FIGS\"\n",
"figname = os.path.join(fig_dirname, 'pdc2_ellipticity_model_lrg_early_johnsonsb.pdf')\n",
"fig.savefig(figname, bbox_extra_artists=[xlabel1, ylabel1], bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Experiment with models for disk ellipticity"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11397dc90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.stats import johnsonsb\n",
"\n",
"a, b = -0.25, 1\n",
"rv = johnsonsb(a, b)\n",
"z0 = rv.pdf(e_disk_cosmos)\n",
"\n",
"a, b = 0.15, 1\n",
"rv = johnsonsb(a, b)\n",
"z1 = rv.pdf(e_late_cosmos)\n",
"\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4), sharex=True, sharey=True)\n",
"fig.subplots_adjust(wspace=0) # smash left and right plots\n",
"ax2.yaxis.set_label_position(\"right\") # y-labels on the right\n",
"ax2.yaxis.tick_right() # y-ticks on the right\n",
" \n",
"yscale1 = ax1.set_yscale('log')\n",
"yscale2 = ax2.set_yscale('log')\n",
"\n",
"__=ax1.plot(e_disk_cosmos, pdf_disk_cosmos, \n",
" label=r'${\\rm COSMOS\\ disks}$', color=mpurple)\n",
"__=ax1.plot(e_disk_cosmos, z0, '--', color=mpurple, label=r'${\\rm model\\ disks}$')\n",
"\n",
"__=ax2.plot(e_late_cosmos, pdf_late_cosmos, \n",
" label=r'${\\rm COSMOS\\ late}$-${\\rm type}$', color=mblue)\n",
"__=ax2.plot(e_late_cosmos, z1, '--', color=mblue, label=r'${\\rm model\\ late}$-${\\rm type}$')\n",
"\n",
"legend1 = ax1.legend(fontsize=14.)\n",
"legend2 = ax2.legend(fontsize=14.)\n",
"\n",
"xlim = ax1.set_xlim(0, 1)\n",
"ylim = ax1.set_ylim(0.001, 10)\n",
"xlabel1 = ax1.set_xlabel(r'${\\rm ellipticity}$')\n",
"xlabel2 = ax2.set_xlabel(r'${\\rm ellipticity}$')\n",
"ylabel = ax1.set_ylabel(r'${\\rm PDF}$')\n",
"title1 = ax1.set_title(r'${\\rm Johnson\\ SB\\ model}$')\n",
"title2 = ax2.set_title(r'${\\rm Johnson\\ SB\\ model}$')\n",
"\n",
"__=ax2.set_xticks((0.2, 0.4, 0.6, 0.8, 1.0))\n",
"\n",
"import os\n",
"fig_dirname = \"/Users/aphearin/work/random/0519/FIGS\"\n",
"figname = os.path.join(fig_dirname, 'pdc2_ellipticity_model_disk_late_johnsonsb.pdf')\n",
"fig.savefig(figname, bbox_extra_artists=[xlabel1, ylabel1], bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda root]",
"language": "python",
"name": "conda-root-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.14"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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