{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "
\n", "\n", "**This is a fixed-text formatted version of a Jupyter notebook**\n", "\n", "- Try online [![Binder](https://mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy-webpage/v0.10?urlpath=lab/tree/astro_dark_matter.ipynb)\n", "- You can contribute with your own notebooks in this\n", "[GitHub repository](https://github.com/gammapy/gammapy/tree/master/tutorials).\n", "- **Source files:**\n", "[astro_dark_matter.ipynb](../_static/notebooks/astro_dark_matter.ipynb) |\n", "[astro_dark_matter.py](../_static/notebooks/astro_dark_matter.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Dark matter utilities\n", "\n", "## Introduction \n", "\n", "Gammapy has some convenience methods for dark matter analyses in [gammapy.astro.darkmatter](..\/astro/darkmatter/index.rst). These include J-Factor computation and calculation the expected gamma flux for a number of annihilation channels. They are presented in this notebook. \n", "\n", "The basic concepts of indirect dark matter searches, however, are not explained. So this is aimed at people who already know what the want to do. A good introduction to indirect dark matter searches is given for example in https://arxiv.org/pdf/1012.4515.pdf (Chapter 1 and 5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup\n", "\n", "As always, we start with some setup for the notebook, and with imports." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from gammapy.astro.darkmatter import (\n", " profiles,\n", " JFactory,\n", " PrimaryFlux,\n", " compute_dm_flux,\n", ")\n", "\n", "from gammapy.maps import WcsGeom, WcsNDMap\n", "from astropy.coordinates import SkyCoord\n", "from matplotlib.colors import LogNorm\n", "from regions import CircleSkyRegion\n", "import astropy.units as u\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Profiles\n", "\n", "The following dark matter profiles are currently implemented. Each model can be scaled to a given density at a certain distance. These parameters are controlled by ``profiles.DMProfile.LOCAL_DENSITY`` and ``profiles.DMProfile.DISTANCE_GC``" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[gammapy.astro.darkmatter.profiles.NFWProfile,\n", " gammapy.astro.darkmatter.profiles.EinastoProfile,\n", " gammapy.astro.darkmatter.profiles.IsothermalProfile,\n", " gammapy.astro.darkmatter.profiles.BurkertProfile,\n", " gammapy.astro.darkmatter.profiles.MooreProfile]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "profiles.DMProfile.__subclasses__()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The assumed local density is 0.3 GeV / cm3 at a distance to the GC of 8.33 kpc\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for profile in profiles.DMProfile.__subclasses__():\n", " p = profile()\n", " p.scale_to_local_density()\n", " radii = np.logspace(-3, 2, 100) * u.kpc\n", " plt.plot(radii, p(radii), label=p.__class__.__name__)\n", "\n", "plt.loglog()\n", "plt.axvline(8.5, linestyle=\"dashed\", color=\"black\", label=\"local density\")\n", "plt.legend()\n", "\n", "print(\n", " \"The assumed local density is {} at a distance to the GC of {}\".format(\n", " profiles.DMProfile.LOCAL_DENSITY, profiles.DMProfile.DISTANCE_GC\n", " )\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## J Factors\n", "\n", "There are utilies to compute J-Factor maps can can serve as a basis to compute J-Factors for certain regions. In the following we compute a J-Factor map for the Galactic Centre region" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "profile = profiles.NFWProfile()\n", "\n", "# Adopt standard values used in HESS\n", "profiles.DMProfile.DISTANCE_GC = 8.5 * u.kpc\n", "profiles.DMProfile.LOCAL_DENSITY = 0.39 * u.Unit(\"GeV / cm3\")\n", "\n", "profile.scale_to_local_density()\n", "\n", "position = SkyCoord(0.0, 0.0, frame=\"galactic\", unit=\"deg\")\n", "geom = WcsGeom.create(binsz=0.05, skydir=position, width=3.0, coordsys=\"GAL\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "jfactory = JFactory(\n", " geom=geom, profile=profile, distance=profiles.DMProfile.DISTANCE_GC\n", ")\n", "jfact = jfactory.compute_jfactor()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "No handles with labels found to put in legend.\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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U7eBlYIKIjAOWAScBp3R2py68l4XH4yk5guRCqUQvoL+IXC8ix2RrT0TuAJ4HdheRpSJytqq2ABcAjwKzgbtU9a0ueHtZqcwZssfjKWkUYXvy0On1qurUd1X15Cz7HwYeztO8TqOkZ8iZnLZFZJyIvCgic0XkLyJSE+6/TETOLKrBHo+nQ1ClQwNDugslO0M2nLY/SSC+vywiDxCEL16tqneKyHXA2cC1yRu2dONUlr8DI6LbSX2NXZqx1a5TM7bbcraTQ+uN2EeOutnPSUwXNjdd+rJNJ6XjdK8KYp9b07c4WuTUm136MkQcdkXSWeuK/UG4dGB7+STrWoj4LNvXiQOnj3LsfNmVje9Dh6/mlFfQR9lQyj8vO5y2VXUb0Oa0fTjQFkd+C/C58O+NwJYut9Lj8XQ4ip8hlxoZnbaBdaEY37avAUBVr+xa8zweT2fiE9SXFpnuVzKp/HlGcEr2EOgcC46K0wXNEQ7tcm3LY8WQmGuRy5XNFQ4dc+dzZXvLIUM4MsNldHtTZdC2JoY1r6N+WxP1zRuob25i0LamHf/3bN1GD01TpWlSmqZVUjtem3v0ZE1NHatr61hTU0djbR2Ntf1orKljRa9BbOjRO96n0XcE0yUtFlZtnz+jPJVdzgC3O5gYYdbxLGyWixwONLuLnNiri9iftyvM2lztxF5wt9VeXsS8jjtWs1AknwT1/UXkeuBBVX2wQw3pYkp5QM7ktL0YGCAiPcJZciJHbhG5DTgOoFpqO8FUT0ZUGbxtAxObljOhaRm7b1jGxI3LSGmaFT0HBYNqbR2NNXW83X8MjTXB9paqWlolRYukUBFSqlRpmh7pVvq0bmVQc9OOwXz3DcsYtG0Og5ubGLGlkabq3rxbN5J36xqYW9fAu3UNbKh2DNKeDmfxksWIyCZj132qelo+bSiwPXkui5xeFt2FUh6QszltTwNOINCUzwDuz9VQeDGcBtC/x5DOzIlS8QzctpHpjXOY3jiHKRuWIKrh4DiSh0fuzy/rjmVlbf8Ms7b2I5qmYfMaJjYtY2LTMk5Z9DS7NS2nqbo3b/bfhefrJzFj0AQ29ejZ4X17djJm9BjWrlvbp32tiF/ktJRQ1RYRaXPargJuUtW3ROQ7wJ0i8iNgJnBjMe2seFQZu3klhzTO5uA1cxi9eRUzBk7gmSF78tsJxwSDb2d5VNimSIqlvQeztPdgnhy2DxAO0lvWMHXtfD614lX+852/MqffKJ6rn8zzgybxQc+BXWKbJz+ULonUKzlKdkCGzE7bYaq8A9vVcLaVP6zQ6dgqCM4Vqh1hzPmsAG3VjWiQLl3YLnNoyvFQaYdOXJVZXx6+ZQ2fWf4yH1v5BimU5wZP5sbxn+KNAWNpSYWXlSnR5hqTC50xO1bOABCtYkndEJbUDeHB0dPp2dLM/mvmccjq2Xxp0VOsqa3jiWH78Mjw/Vhf09cw2E6xafzt0pchojFLq631Gqts5HB7U6M8dnZsndjhShk/sw7XNuMaF0sz1thK66Y97h4Lwc+QPR4HKU2z/5p5fHbZC0zZsIRHh0/je3t9iQV9h4OIO3dFibC1Ry3PDt2DZ4fuQVW6lSnrF/Pp5TO49cVf8Hz9ZO5vOIjZ/UbnbsjTqaiKnyF7PJnot20TR614hc8sf4mm6t7c3zCdy/c4meaqmk5LEtQVpCXFmwPG8uaAsfTbtpkj3n+FS2bfxeaqnjww8kCeHLYPW6tqim1mRRI81POrTns8O+i3fTMnL3yGo1bM4Ln6yfxoyknM6V+es8cN1b25e8yHuWf0oey3Zh7HLnuBsxc+xl2jP8xfGw5mm/+qdDGST9CHd3vrtgjZ/ZBzhU67lkxyrA6dTzh0zNfY1H4dZXFf5+zh0DE/ZOvYWrZz/JJ/c8LSf/P00L04c/pFrKntF9aNHupOv5m9jw7LPW69z/gC0NlTbKohpbaVKVW8PHR3Xh6yO2M2reTs+Y9xy0tXc+vYw/n78GmkU1WxJZtidwmula8NXdhesim2FJTRkJJLFzb7z64vAxmWgzJtME+K+1lDJB2n7ZvdToKHeokvEu/25ik/qtKtHL3iZU5d/DRvDBjLBdPOY2nfIcU2q2gs7jOU7+/9JSavX8w58/7OiUv+xY3jPsWzg6Z0medIJeMj9TwVy4Fr3uGCeQ+xvNcgLt37dObWNRTbpJJhdv8x/OfUr7D/mrmcs+AxTl78T36527H+HHUieUbqlQ2VOSBnCQ2Oubm5wppdqzq75Axwh0PHpIbsbm8RGSLWZzJXtj7bt/D/5j/MPusWcvXun2NG/QSrXbfUEJE/YmHV5nE5vlyFfvdsGcJu1tgRy8oWyVZmrxxtN5Ti5aG7M2PIBD61fCY/efMWHmo4kNvGHkarFdEfOTQm1ZgucVFpIZ55zXR7S2cty3RsVnvsfl3ymh32bYdrm8WdMHjmschp2VB579izgwMb3+EPM37D1qpqzj7wQmbUTyi2SSWPSorHRkzjnAO/zviN73Pty79jQtOyYptVdqjC9nQq0aucqMwZcoVjzop/Oul4ZtbvVmyTuh1ravvx33udxic+eI2fvHELD408gNt3OWxnUIynXQSSRXkNtkmovHdc4ey5/j3+MOM3NKd6cM7+X+e1geOLbVL3RYR/DN+Xc/e/gPEbV3DtK79j1ObVxbaqbGgN81nkepUTFfhzLhFXt4hubKcbdLn9uFbZyOUu5EhZGQ+lzu6uFk3j6bCHQAs+evnLnLXgMa6Y8gVeGry7UZdY3WztxNzeHBqy6dffVRpyrFlzhQ4re2Q0Z6VVZHu2mW/Tamd17wFcus/pHLPsJa6eeQNXTPkCMwaF8k/Mlc3s3v7wHZqyY7WTWLn9mWn2a0Ni7Tri3e10tEZodSysup3k6fbm/ZA93YeqdCtfm/8w+62dxzemfZUlFezK1mmI8OCog1jUZyjfe/MO7hzzEe4ddUixrerG5CVZlI0fspcsypx+2zdzxZs3M3LLGs6f9jWW9h5cbJPKmjcGjuOCaedx5Puv8O0591Kdbsl9kCcj6XBdvVyvcsIPyGXMLps+4JqZ1zK3bwOX7n06m6p7FdukiuCDXgP5+rSv0qu1maveuJGB25qKbVK3I/CyqEr0KicqU7LIpvfmCnlOWjeHH3LEtzefpZccvsa21rv7xqX8aNat/H63o3h8+LSoLuzwZw62HWXW9e/UkM12Yj7KnTSzUduf2NBLY6smG/XsaGNbb3aEgcdSgLbClqqe/GDvUzhj/hP8+rXr+c99z47lXnb5HQe2G6HTdoi4VdeZ1tMmsvR1Hte4jWOpr/ZSqYEhfoZchuy1/j1+POtWfj7peB4fPq3Y5lQsKiluGfcJ7h19CFfPvIGRmxuLbVK3wksWnm7PPusWcNnbf+J/p5zIi4MnFdscD/DXUYfw5zEf5erXbvBucQlp87JI8ionKk+yEMfq0TlW7zDrOsOjY+GyLhnCHa4dlTdcodPCHusW8b3Zd3D5Hiczc3A02MNsJx3rM7oZbTd7WbCdsMwRVp2xPCGxEGerIXHJEmnXrbstQ0jWMvvzzTTLeXDMdFqrqvjZrJv45r7n8H6vQbE6MQnD+JxcEkVgkvGZxS637NdYLKw6g+07iK1mbbiPxuLS248PDPF0W3bfsJTL37yd/518og/2KFEebjiAO3b5KFe+diNDtq4rtjkljarQoqlEr3KivN5NhTJiyxp+POtWrpp0HDPqJxbbHI+DBxqm87eG6fz09T/Su2Vrsc0pafKQLPqLyPUickyxbW4vfkDu5vRqaebyt27n9l0O47nBk4ttjicBd4/5MK8P2JVL59xFSh3Z7CuYPDXk9ap6bneP0oNK1JAhuctVoeHRsbLoprr0ZleKTdvslHLxu3czu/9o/jrmYKc2HdGNLXvSPVzatG27S0O26zqOy6EpJ8YOcba3DZ04riGLo8zaluxlqZZop+aT/2wznt9MOoYrX72RLy/6B38Yf0Sw09ZhHa5kdsizRvRcy2cvj/BoZ1i1i05wYyy3B3ZJ8DPkbsyZC5+g3/bN/GriZ/0KFt2M1lQVP9jjZA5b+QaHf/Basc0pOdr8kCvNy8IPyN2Uj66axadWzOSyPU/1KR+7Ketr+vI/e32JC+Y+xMQNS4ttTslRiX7I/pucT7RR0hVDcq084ryVd8gkoeyw68b3uXD+g/zXvmeztmddUM8lUVh9xiSK2LEO+2ISRvY+IxKGI4ovU3liYhKFXZ5dlki1OuSM1qhBYmghKavM7tKUMOwBI/K2Feb3G8lVk47j8jf/xNf2+3+sq+lrFpN5g9i1GnE7s06uWoueSsLrOEaOLHIdiSq0lFny+SRU3jvu5vRIt3Dx7Hv4/fijmF83stjmeDqAZ4fuwRPD9+Eb7z6QYZ2pysVLFp6S59RFT7OyZ38eG7ZvsU3xdCB/HPcJxmxexcdWzSq2KSWB15AdiMguIvKJ8O9eIlLXuWZ5MrFb03KOWf4SV0/8nH+IV2Zsr6rmZ5OO4/y5/8fAbRuLbU5JoCqJXuVETg1ZRM4BzgUGAeOBUcB1wMcL6VBEjgR+BVQBf1DVK0RkD+APwLvAl1U1LSI/BI4lkOhWAmeq6nIJBLBfAZ8GNof7XxWRscDNqvqxHBZkD3POJ9ubaxWQ2ErNebSTpd0e6Ra+/c69XLfbUazu1T9o16FFu1zbXJqxXe4qs8vjK49kL4uHTkvWshhmxLN9i+/QlO0MbuY5S1llYvnPmbpx2uokZRlsKra2S1xkALFW/ZgzYAyPjpjGhXMf4LI9T7FC/KP2xfRbw4UvFjptP09IurpIXt+Hjr/ZLrcHdklIchbPBw4FNgCo6lxgaCGdiUgVcA1wFDAFOFlEpgDfBD4LzAA+FVb/uarurapTgYeA74X7jwImhK9zgWsLsaW7cerip1lZO4DHh3upopy5edzHA+liZWVLF6peQ85Gs6pua9sQkR7kXMksKwcC81R1QdjmnQSz4KqwzTTh/EhVNxjH9TH6PBa4VQNeAAaIyAigFVhToF0lza4bV3DM+y/xi0leqih3tldV87PJx3PB3Ifot31Tsc0pIkJrOpXoVU4keTf/FJFLgF4i8kngbqDQEMUGYImxvTTc9yvg/4CDgcfaCkXkxyKyBDiVnTPkjG2o6hJVPa5Au0qacxb+ndt2OZzG2n7FNsXTBczpN5pnhuzBqYv/WWxTikoeGnLZ5LJI4od8MXA2MAv4KvAwgd5bCJmmd6qqM4GDMhRcClwqIt8FLgC+n60NZ6citwHHAVSnarNruC4f4Hij0bouLdqV3jLWTrTuPhsWMGpLIw81HJBxJemdbWbvw97ORxeO+yzbx2Y+Lrd90e2C/X3SUftcIdCSsnXhrM3EU1Yal1hcM7ba1ezvO+LWZj9rMIpu3fXj/PH5q7l3zCHBSiOuZbAhch3HdfXs12r8fRr1Yr7OyUKwFy9ZjIiY0/v7VPW0rB1l6pu8QqcrZ5FTVU2r6g2q+gVVPSH8u1DJYikw2tgeBSxPcNyfgeMLbUNVT1PVPqrap1dV/zzMLTKqnDP/UW7a9ZM+Gq/CWFtbxwMN0zlj4RPFNiVvxowZQ9v3LXzlNRgDoMFvUJJXOZF1QBaRWSLyRrZXgf29DEwQkXEiUgOcBDyQpf8JxuZngTnh3w8Ap0vAdIJfx/cLtKek+VDj2/TQVp4aulexTfEUgbvGfJgDG99h7KYPim1KUfCh01E+E/5/fvj/beH/pxK4m+WNqraIyAXAowQP8m5S1beyVL9CRHYneNC3CDgv3P8wgcvbvNCOLxdiyw46apHTyOoYOdoxb/VsWSS8jU2lWzlr0T+4ZuLRpKsCLcCZCS5XiLMjHNqWGqIucnZZ8rpq1HW5xIF1V52X21u0yHZti0gWLdlDu1O2m5vVZfSLn12iANCqneWxGZxZ11YWrHOysaYXd479KGcveIzv7fklq7KjXUt/ibnBpVyFBX4fOhgNH+pVGlkHZFVdBCAih6rqoUbRxSLyb+DyQjpU1YcJBtVc9Y7Psl/Z+SNRthzxwUzWVvfl5UE+4Xwl87eG6Ry/+N9MWb+It/vvUmxzupRykyOSkOQnqI+IfKhtQ0QOIXBD83QWqpy4+F/cMu7j3s2twtleVc2fxh7GiUueLbbTz5zEAAAgAElEQVQpXY6P1MvM2cBNItL2NGwdcFbnmeTZd90CWlJVvNF/bLFN8ZQAjw+fylfmP8qQretY1XNAsc3pEoIHduU12CYh54Csqq8A+4hIP0BUdX3nm9WJCAWvGOJMz+kKc3W4yNnXnIrw2eUv8kDDQcEqEJk9i8J2jbKcK3s4tF5bm464vUXr2m5w6WrjuFhds3+7T9teYyMfDTmWNtPaNsrt6F5piWxl74ToR2oPFLbTkbrc3gx92bY9m5y7tbqWJ4btw9Hvz+CPu34yLMzuBhdfZdqqG9GYHauU+BVDupwkuSy+Z20DoKoFacgeN4O3rmfq2gX8dNIJxTbFU0I80HAQV752E7eNPaxiXCC9hpyZTcarlSCXxNhOtKmiOfr9l3ly2D5s6VFbbFM8JcSiPsNY3HsIH1r1drFN6RIUIZ1OJXqVIqFr73EiMimf45IEhlxlvH4MfIwgfNnTwVSlWzl6+cs80BALWvR4uL/hII5d9kKxzegyNOGrFBCRvxl/Hws8CRwD3C8iZyZtp5B7n97ArgUcV5qYem4eSzjl9DU2cK6wbBw3fe07LO9Vz3t9h2U81qkLO1aDtrftsnjIs1Hm0IwhqhvbZRENOaYvW7qraVOuaYLpWxxbAdoK9zV1YkdEu70Mk13ZDEdO2/KtrQU7zjXOsGq7qqE3C/x7yBQumPsQozevZGntEMsIw/fZvjStblzXcbtCqTuS7vdQz/RJ/A5wuKouFJHBwBPAzUkaSaIhz2LnpVIFDAF+mJepnkR8aPVsnhy2d7HN8JQorakqnh2yB4euns1fGobkPqC7UyrT32SY1vZQ1YUAqrpaJLbSY1aSCDCfIZh6H0OQq3ikqv4mH0s9uUlpKweteYfnB+clOXkqjOcGT+aQ1bOLbUaX0M2yve0jIhtEpAmYKiLDAcIUEVXuQ3eSRLL4kZ0cRERuKyhhSKmQS5pow7kCbx7HuVYXCdvZY90SVvbsz8peA7Mf65Q+okUuCcO5OjTWKiCOcGiIyhS2ZNFaY9xGx+QMS7JwrS5i4VwFpMWqu93cyP55xtQDa05jLtycssus8ymGphG7zTf1DtfnCZHPvs2e1wbtyvfeuoMBLRsjK1RHXNns681OZWdO5uIx4oY9eUgGSb9TCVEgHbM7K0XP9qZqf1N20JsgS2YiksyQ9zA3wgT1+yXtwJOMgxtn81z95GKb4Slxtqd6MGPQBA5qfKfYpnQuSiCGJ3mVICLST0QGEYyxiT8sV7a374bT773DqXjbdPwD4P52W+yJcMjqOV6u8CTi34Mnc0hj+csW3TH9poh8VUQ+AN4AXglfM5Ien3VAVtWfqGodwdp2/cJXnarWq+p32225ZwejNq+iZ+s25vYdWWxTPN2AlwZPZOraBVS3bs9duTvTnfzedvJfwB6qOlZVx4WvxF5pWTVkEZmkqnOAu0Vkml2uqq8WZm+J4Uo36Kpr4VoxxLUqiIqw/9p5vFi/eyxU2q4bK3Ot+JyH25srlNoVDm1vm5oxWPpyrVVWawmxpqZsh/paqKkt2ik1m6NvLuVIm+lKhRlzZTNXdbb83my92XmuzTLrvLtCqc1LaENNHxb2Hc6eGxbz6qDdwgqauTJxV7bIiiFYuL4DXZh+E7pt4qD5FJieGNwP9b5JsKrzVRnKFDi80E49UXbfsIzXB4wrthmebsTsfqPZvWnZzgG5HCm92W8Svgs8JyIvAs1tO1X1wiQHu/Ihtz21PEpVt5plItKzAEM9WZjYtIy7Rx+au6LHE/Ju3Ug+XM5h1GrdCXUffk8QpTeLTPFGOUji9vYcYEsWmfZ1EyT5rVYei5wWSs+WZoZtXct7fYLovHhUX/aoKnfWOGvb4T6Xl7xhb5vReLZrmyFTpHtFr03pGfVXq6rZud2j2vJls2jZvvNev3Vb9L4/ntpg5w6x3ri2Zv4b8jsnLpdDtbKy2XJVtjKIXmJ2O3PrGjhrweO0G8dirnH3uXza6Qi65YDcoqrfLPRgl4Y8nCBnRS8R2ZedZ6cfgW+dpwPYbeP7LOozjNZUYt9xj4elverpv30z/bZvZkN1mX4du6dk8ZSInAs8SFSyWJPkYNcM+QjgTIJVnX9h7G8CLsnbTE9GJjYt4506n6vJkx8qKebWjWRC0zJeGTQh9wHdke45IJ8S/m96oikJ8/+4NORbgFtE5HhVvbdw+zwuJjYt9w/0PAXxbl0DE5uWl+eA3BYY0s1Q1XZ9mZOsGHKviBxNELHX09jvE9SbRFadtsocuvC4TSu4b/TBWeWyxNdkzCUpezu5NVDjb0cmOIiGQNvh0KZrm60Z1/bZFtmu673zuXH/npFnyDHWb935TLlpc/T5cjM1URsiYdbRNy7G1R9bkTqPFU1ierPDVTH6OeVw73NEzSMwv+9wDlzzbnwVHIduDdaq03k/duo6Si3oIwkicj7wJ1VdF24PBE5W1d8lOT5n6LSIXAd8Efg6wUf/BaKp5jztYHDzBlbV9s9d0eOxWF3bn/rmpmKb0XmkJdmrtDinbTAGUNW1wDlJD06Sy+IQVT0dWKuqPwAOBkbnbaYnRlW6lbqWLayv8Yt4e/KnsbaO+m3lOyCLJnuVGCkxInFEpAqs2zYHSdzetoT/bxaRkUAj4EXPDmDg9o2sq+5LWpL8Lno8URpr+zGoXGfIpRkWnYRHgbtCZUGB84C/Jz04yYD8kIgMAH4OvBp2ckMBhpY+OXwpY6uEtJP65g001tZFdzp9n3NsG7hXKbHrWjsceng+ocBmOLTpZwxRzRhgtwGrd/w9pe59XLzdNGLH3/MYHCkzfZQBWrbtNNClCzt1YLDOiS3K2nHXjnay1Mu4HenfKmxVNlXVUqVperY0x7TzQik4rLrDKd1Mbjn4DkGE89cITuFjwB+SHpzkoV7b6iD3ishDBA/2fFqyDqB+WxNraupyV/R4MiHCmppAtlheU19sazqebjhDVtU0cF34ypu87pVVtVlV1wN3F9KZJ8qgbU2stmfIHk8erK6tK98He+mErzKikEVOoYtiGkXkSOBXBEug/EFVrxCRccCdwCACCeU0Vd0mIpcB76nqzV1hW0cwcLu16kOxaM9ttSuk2MjaZodD265tpkzx34PnOAyCHxl/r9oaPX+2G1xLauclHrfP+Dsf+aCE7qTX1vRl4PaNxTaj4+mmfsjtpdCnSZ1+MxE+nbwGOAqYApwsIlOAnwJXq+oEYC1wdmfb0llUp1vZlir0N9HjCVYQ6ZF25/7ornQnL4twQY9929uOK5fFg2QeeAXoCsHqQGCeqi4I7bkTOJYg7WdbeOItwGXAtcBGdnqEdAuqNE2r97DwtINWSVFlJ2QuF5IPtv1F5HrgQVV9sPMMcrIQ+IaI7AO8DjwCPBb6ISfGNT27ssCyjqIBWGJsLwUOAtap7ljKcmlYD1XtCps6FD8ge9pLWQ/IySmFRU7vJJBSCWfKRwL3hXf6/wD+rqov5WrHlcvinx1ka6FkEpAypUTL+TsqIrcBxwFUp0onlXPlKWSejkYRUiUWY7x48WJEZJOx675CVqkvFTkiX1R1JjAT+ImI9AM+CXwFKHxALgGWEo0IHAUsBgaISI9wljwKWJ6rofBiOA2gf+3wkvmY/ezG0156aCstqdK6yxozZgxr31jTvvBTpRTDovNGVTcA94avnJTWJxnlZWCCiIwTkRrgJOAB4CnghLDOGXTjFbD9gOxpL2Ute3XPRU7bRcl+kuEM+AKCUMTZwF2q+hZBJMw3RWQewcPFG4tnZfvYLlVl+4Tc0zX00FZapDwXN+hOXhYdRU7JQkQeB75gpZO7U1WP6GzjVPVh4GFr3wICD4xuz/rq3ozZuqrYZrhnGXaZvW2mt3Ss1GyHNJspNCEaDv0j3Jh17XbsfszbXtu+SFBBrveZtKyL6b9tE+uryzQ5VQmd56SISLWqbrf2DVbV1dmOMUkyQx6cIZ3c0PzM9GRiTU0dg8s1ysrTJQze1hTPh1IudCPJQkQOE5GlwHIReUxExhrFjyVtJ8mAnBaRMUbHu1Ayp6F701hTx6AyTp/o6XwGNTfRWIb5UJLKFSUkWfwMOEJVhwDXA4+LyPSwLPHTySReFpcCz4pImxvcRwiyGZUfOdyHxCjXDnBaa6ztF89DkLZsqDJTh1kNOMyNXaia5W+i7yuwwbjNt+ums2+LLYcbq3DYq0PbIc5m1jY7HNrGtWKI3Y9pg22fOOSW2Pkz69rny3GunQNGPjKJfV0QrFhepWk29egZP/cFEntvJl3tXte9vCxqwmdcqOo9IjKbwA/5YvKYwCbJ9vZ3EZkGTCcY6S9Kqod43Kyp6cvAbU3Bhd6lqQ095cCObIEilONNawnNfpOwXUSGq+oKAFV9S0Q+DjwEjE/aSFbJQkQmhf9PA8YQ+PsuA8aE+zztZHuqmq1VNfTbvrnYpni6IfXNZawfQ7fSkIGLgWHmDlVdCnwUuCJpI64Z8jcJpImrMpQpQU4JTztprK1jcPMGNvhlnDx5Ur9tQ/nm0y4tfTgJU4G/2DvDdMU/TtqIK3S6TSc+SlUjuRJFpHTij0sFU2O0V5+IaYU7dyzqPZRxGz9gQd8RZMK8KJ3XZ0zXjEogZjsx9y+HThzTXa3tlKHR7sgw0rbdvPNEpK1zYq9wYbqr2bqwjVnX1ox1a3Q7ZdiQslaWTrn0ZYfe7DpfYA0kjs8+F7n053EbP+C9PkPDmWL2C8Wlh5c03WtAbgCeE5GFwB3A3YVIu0m8LJ5LuM9TAO/WNTCxaVmxzfB0QyY2LePduoZim9FpSDrZqxRQ1YsIpN3/AfYG3hCRR0TkdBFJfBvj0pCHi8h+QC8R2VdEpoWvjwG922m/J8QPyJ6CUC37Abm7oQH/VNWvEeTh+SVwEfBB0jZcGvIRwJkECXyuYqcv3QbgkkIM9sSZWzeS3Ta+j2gaLdecBJ4OZ1jzOlqlisbafsU2pfPoXpLFDkRkL4LcO18EGsljvHRpyLcAt4jI8aqaKFNR90CT63i276c5XnaQT2ZTdW/WV/dh1ObVLOkzNKb3qdFPzCc44u+aXTMGEPO92HVdvsWOMgAxdGPZHi1LRXy1oz82aasdc3XollyrqJj+qbYu3Jyytg2d2LIvYnuu9+k4J3FNOelnplZZ7MPP2k6HzY5d13EG3+eC2imEbvZQT0QmEAzCJwOtBLmRP9W2wEZSkkzJ9hORAUbHA0UkV7oBTx68WzeSiU05s4h6PDuY0LScd+tGFtuMzqV7ub09CvQEvqiqe6nqj/MdjCHZgHxUhlwWn863I0923q1rYFLT0mKb4elGTNqwtPz14240IKvqrqp6qarOEpFdROQTACLSK5+HeklCp6tEpFZVm9s6AGoLM7sEibgL5fh0I+W2RGCEVee8FTXDoZVXB47nkrfvQnZT1CE92M2Yrlm2/JyXDGG7eBmrRYstCdg/4WZxLNrQaMc+X63RhtTwVoutDm136XDLs13bTJmiapvt9pb5b4jKGUE/xntxucTZ9uUTau5yVzP+7tm6jckblnB5/5N3XFsuKcS+cAoOj87RbkcilI4HRT6IyDkE8RuDCCL0RgHXAR9PcnySGfLtwBMicraInAU8TrC4qKeDmNt3JL1bmxm1uQRScXpKnv3WzGVOv1Fs6lHG4QAZkgiVeHKhNs4HDiVwfkBV55JHdswkuSx+JiKzCEZ4AX6oqo8WZqsnIyI8N3gyB6+ew+K6YbnreyqaQ1fN5rn6ycU2o/MpvcE2Cc2quk3Cu0UR6UEe7ySRn5WqPqKq/6Wq/+kH487h+fpJHNI4p9hmeEqclKaZvnoOz9dPKrYpnU830pAN/ikilxDEb3wSuBt4MOnBSVYMmQ78BpgM1BCs/LxJVbuvA6TpzuP6SXK6BFnbLpe4mPucsR26cM3svyuXbvwL/Zs3RvJaRJbcs/RlZ0pNq08xXMVSrdEyTVnaaqtZZrVraavOX3TDXrV1V+vKi/STa5rg0GhjGrJDJ05tz1wPMmjTpl5v99lqn2vzb1t3zfJ3pu2I+1zw95T1i1lTU8cHtQOtFU8043GxMhuXTpuPRpyPi1xCSlCOSMLFwNnALOCrBCse/SHpwUke6v2WwL/ubmB/4HRgt7zN9DjZnqpm5oDxHNT4Do+P8Mn0PJk5ZNVsnh9cAbNjKMXZb05UNQ3cEL7yJqlkMQ+oUtVWVf0jcFghnXncPFc/mY+uerPYZnhKFVU+vOotnhtSGfpxd8plISLHisj5xvaLIrIgfH0haTtJZsibRaQGeE1Efga8D5RPrkgzGipt38o76lq3c+p0icvaTGTjmcFTOG/BwwzZso5VPQfEjo3d/opZZtkq2aPx4rfc0W0zEC4Vu2+Mtms2Fft1N132bMnCkhYi5zpXrv7IObHadbikuVzbUnaUYYslQxjt2ucrP7e37NdbbNuSN/ZdM5/mVDVz+o6KuOG1lWc8LhOO69glU8Tll06ewnavGfK3CZSENmqBAwjGyj8SKAw5STJDPo1AN74A2ESQNOP4fCz1JGNrVS1PDJvKMctfKrYpnhLkc8te4IGGgzL4e5cn3cztrUZVlxjbz6pqo6ouJo8JbM4BWVUXqeoWVd2gqj9Q1W+GEoanE3ig4SA+/f4MeqRbclf2VAyDt65nn3UL+cewqcU2pevoXl4WA80NVb3A2ByStJGskkXoe5z17arq3kk78SRncZ+hLOo9lA+veounhu1TbHM8JcJnlr/Ek8P2YUuP8gmSdVJag20SXhSRc1Q18jBPRL4KJL7ldWnInynUspJGSa59udzXHPpyzJXIuq+K6HYxVzblgZEH8fllz/P00L0jodQuLToWhmv3GQnZtfRlu65xSxy/hcquKatDS7X1eLUWh46chnw0ZEc4uW2Dy7XN1oxjerPp9ma7ucX6dOjEZl3b9ixucD3SLRz9/st8a5+zMoZKB9vmNWVft3a7Ljc4RzsuOlhPFkpKjkjCRcDfROQU4NVw334EWvLnkjbiSr+5qF3meQrm34Mnc/68hxi3cQXz+5d5Ri9PTj606m2W9B7Coj6VFcVZrAFZRHYFLgX6q+oJ4b4xBC7Aq4F3VTWycKmqrgQOEZHDgT3C3f+nqk/m03dODVlEpovIyyKyUUS2iUiriGzIpxNPfrSmqvhrw8F8adFTxTbFU2RSmuZL7z3FPaMOLbYpXU8HasgicpOIrBSRN639R4rIOyIyT0QuBlDVBap6ttXERIIB9ixgSlaTVZ9U1d+Er7wGY0jmZfFbgqTLc4FewFcIIvfyQgJ+Hb7xN0RkmlF2kYi8KiJfDLd7ishLIvK6iLwlIj8w6o4LffzmishfQpc8ROQyETkzX7tKlb+OOpg91y9i4gaflrOSOXzF62ypqqmMUGmbjn2odzNwpLlDRKqAa4CjCAbZk0Uk22A7EzhJRJ4EOm2mlMQPGVWdJyJVqtoK/FFEClnk9ChgQvg6CLgWOEhE+hL46x0I3EuwlHYzcLiqbhSRauBZEXlEVV8Afgpcrap3ish1BGGK1xZgT9uby/x3ru2YTmdovaloWUxeM3U6+74s1Bibqea2MYdxzrxH+fbUsyJlOw516a4xndj829JLW+2Dd5anrYZj2TeNN2evAqLGOYlpyHZDha5elc9KH632+zbLrONiaT13Hhv3Q86uE+enL0e3a1q2c9aCx/np5BPC92k+p3A838iVbjNbyLW9nc/3oaPJz6VtsIjMMLavV9XrI82pPiMiY63jDgTmtSWSF5E7gWOBtzP08WXg+2E79xD4Fnc4Sb4GkcAQEbmIwgJDjgVuDRcCfAEYICIj2DmU7Dj9YZ2N4WZ1+FIJnjYdDtwTlt3CTsF8I7ClALtKlkeG7cewrWuZtsZ7GVYin1n+Eot6D+WNAeOKbUpxSD5DXq2q+xuv6zM3GKMBMH2HlwINIlIfTvb2FZHvhmV/By4M97/XrvflIMkM+TSCgfsCgieJhQaGZHzzqjojdLGbAfy8rTC8nXiFIG/GNar6oogMBtapaovZBoCqXlmATSVNa6qKm3b9JF9Z8Cj/b+B4crsfeMqFXi3NnLroab69z5eLbUrR6IKw6ExfKFXVRuA8a+ebwAmdbVCSfMht3hZbgR+46uYg45sP+/gJ8BOr31Zgarie319FZE8yL6ed88ZGRG4DjgOoltrsmbFirmKW9ODI6OZaMSQSi4wlGaTs28Bo3X8N2oOTFj3DRz+YxT9HRF2/I7fDdvSWw+3NlijS1imMLk5qyy/WseZbiUkWxjlxrTQCaERTwU3kI7PPn9WNY4WO6DmxypzyRvayoF2HLOGQUMy6Jy76F68OGM/CXsORVnW7udn95HBzc7rIZWszU90sMsnixYsRkU1GzftU9bSsHWXrv/O9LJYSTDDbGAUUdXHLrJJFjmQZiX4pROR8EXlNRF4jeKN5v/lwPb+nCQT51QRSR9sPSdI2TlPVPqrap1eP/klMLxlUUlw/7ki+uuDv9GppLrY5ni5g5OZGPr/0eW7e5RPFNqUgxoweQ9v3LXzlPRgnlivaN2i/DEwIHQVqCHJRPNCuFtuJS0P+NlHj2pJlfAz4WpLGVfUaVZ2qqlOBvwGnh94W04H1qvp+puNEZEjbStfhGn6fAOZoMPV8ip23DmcA9yexpTvz2sDxzBwwnq/Of6TYpng6GdE0/zXnPv68y0d5v9egYptTXDrW7e0O4HlgdxFZKiJnh9LnBQQrRs8G7lLVtzr4XeSFS7LImCwDaBSRQh7qPUywWvU8YDPBU8tsjABuCXXkFMGJeigs+w5wp4j8iMAV5cYCbOl2XDv+09zwyq/Zd8g8Zg7y6ajLlWOXvUgPbeXe0YfGvGoqiTwj9fqLyPXAg6qacXUOVT05y/6HCcamksA1IHdIsgzjeCVYADBJ3TeAfbOULSBwVykQjfpnmdplPm4+sVSYxratDVpXVqRZVzuwQ0/dVFXL1RM/x7dm38dXDriQLT1qIyHOdjtqacqm21Z8sZPsmnLK0oxjK2objaWrrLpmR7ZmHPefoyAcmrFd7lrpI3caT4fbm60pm2HYzvSb0bKRm1ZzxoInuHDauYFW77reHPpuTFePpep0tFuo25vt89gBxDTs7KxX1XM73IAi4JIsXgyXtI6Qb7IMT8fxcv1EZg700kU5IprmW3Pu445dPsrS3nnPd8qPrtGQSw7XDLlDkmV4OpZrd/s0N7z8a6atmceMIROLbY6ng/jc0heo0jT3jjqk2KaUDN0suVCHkHWGrKorVfUQ4IcEjtDvAZer6sGqmsn9zNMFbOrRk6t2P47vzLmHIVvXFdscTwcwaf0STl/4JD+fdDxpKTRksQzxM+Q4YYKMvJNkdBtceporxaZDT4st72Tra7Iz96StL8f8ks0UluH/r/Qfz30jD+GHb9zOf+x7Ds1VNbEHQLbpZgi0nWoypimbq0VXuf2QTS3Y5bdtr2xtZx0tOOYllwTv0GyTLrUEVji0VWafTyL+zXY7UR/l+uYNXD7rdq6cdBxLa+sjem/EdpffsdWnrec6l2nKJxy6i5dw8jNkT7fhL6M+xOLeQ/jWnPs6/Yvh6RxqWrfzw1m3c//I6Tw3uAIWLs2X5DPk/iJyvYgcUxxDOw4/IHdXRLhq988zcssaTl78z2Jb48kXVf7znb+yvNdA/rzLR4ttTemh5LPq9HpVPTeby1t3IlG2t7KjwBVDzNtEte+nXBncYqHTO28pNRX9TYytJhw9MLK5XXrw/Smn8NuZ1/Fen2E875hlmb3EMrhZt9wRqcG+S3VkbYvJEmZZFne+neW2xcnItspGpnL3CtDZy8AtWdiaT8SdLotk8cXFz7DLppX8xz7nhH1nCI9OZ28nfm2a/oc46zozw/kVQ4qKnyF3c1bX9ueyKafwrTn3MqFpWbHN8STg0FVvc/ySf/O9KacG+r8nM6rJXmWEH5DLgDn9RvOL3T/PT964hbEbVxTbHI+DAxvf4Zvv/JVL9z6dVT0HFNuckkY02auc8ANymfDskD343W5H87PX/8joTSuLbY4nA9PWzOPi2XfzP3udxty6hmKbU9r4wJAKQaPhv5ItjBqgNXs4aPY1NgBLS425wZm6pqUNqiUAivGbaeuwtg1PDd6bmpYWrnrtRr419aysi2LGvfniK18bnUbLLDc4s9zp9hZzc+uk3M6xVJPG386w6uyasV2eW2+Oa7/7rZnLpW//hR9MPoXZfUcHKTVzhENHrg3blc2hKTvd3Ky2xL7GzX7sMkc7sZSzHUAX5EMuOfwMucx4dPg0bhh3JFe+dhO7bsyYTM/TxUxfPYdL3r6L7+95auWu/lEAeXhZlI3bW+XNkCuAfwybyrYePfjZazfx/T2/xFsDdim2SRXLYR+8zvlzH+LSvU5nTv/Rbi8az06UfB7YlU1yIT8glyn/HLoXm6tqufzN27lh/BE8MuqAYptUUYimOWv+43xixWt8e+pZLOg7otgmdTvK7YFdEipzQM7mM5zrFzlpyKlDewZLF3ZoxhDVjW29T426mRTZGQMmcNE+5/DDt25n/Mb3uXb8p0mnquIPQuxwbTONZsw3Nrod8Uu2pegq4++YZuz2S05Mjo/M1FNtXdilIcfft8O32DonfbZt4buz76Zu+xbOn/o11tX03XFMdKklWzPOrtnGZtYuTdkO1XdpwR216nTyVJnJqcAB2WvIZc6S3kO4YOp5jN68miveuIW67ZuLbVJZM3JzI7959TrW1PTlv6aexbqavsU2qVvSFhji3d48ZcfG6l5cstfpLOg7nGteuZZdNvpkfZ3Bvmvm85tXruP+hulcPfFztKQq8wa0Q9DACyXJq5yowCtGMZeyMF2+pNW6p62qim4nXKHaGVZtH2uFVcd+8k0XKmyM92H9tsYEAhF+P/ZIFvYayq9euZ5bxx7O/Q0HoZKKZ3Az71qr7HbshrN3at7K5wyN7gLJIlbX5fZmf2RZsrAB1GzfxpnvPcEnP5jJj0DPdRQAABdYSURBVCefyGv9dg3rx8OhiUgfluxgXyemDBFzObPfi0M+yCc82lVmfT8irm7aCT5q5TXWJsLPkCuMx4ZN48JpX+WwlW9w1Ws3MmJLY7FN6tZMWr+E379yDSO2ruXc/b/OawPHF9uksiEPycK7vXm6L0t7D+aifc/h80uf57evXsdtYw/nb6Omoz45emKqW7dz5sInOGLFq/xmt8/wzNC9im1SeaHk86DQu715ujdpSXHv6EN5sX53vvXOvXxk1Zv8fNLxLO9dX2zTSp7J6xfz7dn38l6fYXzlwAtZ36OQRdg9OalAyaIyB+QsepudWlJiK30kW6E67p6Wnbgka2vByXRisTQ8tVaANsO5TXuW1tZz0d7ncNyy57hmxrU8MXQfbh932E7vAFtLjaXNNCo4VgWJH0enEE/HqdnL0o6yDG5vIzc3ctbCx9l73UJ+N/5o/jkknBXH3OCy683i0oVj7aSTlUHUtS3mEleg25vVTiw8utBUnQkpNw+KJFTmgOyJkJYU94z6EP8YOpVTFz/NH1+8mr+NOpi7Rn+YzTU9i21e0RnUvIHTFzzJx1bN4p5Rh3LVhM+z1afN7HTKzYMiCV409OxgXU1frtntM3xt//MZsWUtt714Fccv/jfV6ZZim1YU+rRs5ez5j3LTC7+kuaqaMw76Jn8ae5gfjLsCzeNVRlTeDNl+WGD6ZqVtzaLAaLyUvayGO8oq0qW1HY3Gs289zcVIrQxzrt/aWKRedPOD6gH8dOLx7LppBWe/9zhfWPwvHhh5EI+M2J91tdFAh4iK41J4cmSqs+WOxOSYRUW6jXkfZnaJG75lDZ9d9iJHrniF5+sncd7+F7Cyun9wTEvaKX3Y7boi7HKtAhJd8DRH9J1Znke2t7yi+GLudOnsZe0kCAwps9E2AZU3IHsSs6DPcC7d+3QmbljKZ5e/yC0v/YIX6idxf8N03u43uvNSaBaBlKY5oPFdjl32IpOblvDosGl8fd/zdj7k9EmBup4KTL/pB2RPTt7tN4or+43i99uP4lMrZnLx7LvZUlXDAw3TeXLY3mzpUVtsEwtmwLaNHPn+Kxyz7CXWV/fm/obpXLbnKWz3UXZFx8+QOxERmQT8EZgGXKqqVxplJwHfBm5V1V+G+/YDbgZ6AQ8D31BVFZFBwF+AscB7wImqulZEzgTGquplXfSWKo6m6t7cM+ZD3Dv6EPZbO5/PLnuB8+Y9zJv9d+H5wZN4bsjk0l+WSJXRm1dx6OrZHLJqNuM2fcCzg6dw+R4n806/UTuqVeJgUFKUoT6chK6cBqwBLgQ+l6HsJOAA4E8i0ldVNwLXAucCLxAMyEcCjwAXA0+o6hUicnG4/Z28LDG1LzMa1A4TtnyzIqHVrrDqWAY3q90qx7LOdjiteZwt9hpZ2mJZ4mwbzPdi67W2D1pE/MUqC3a80m88r/QbT+/WZvZfO4+DG2fz5QX/YGXP/jxXP5nnB09iXt1I0mGwSUzcsHd0lCSQoZmqdCt7rF/Eoatnc3DjHGrSLTxfP4nbRx/G6wPGBbNhVaTF0HedLnJubdUVmuzMyhZbiSSP1TscbpfxfpKFR8fc3OyHBGY/kbKO+CzzylPRX0SuBx5U1Qc7oPOi0WUDsqquBFaKyNEZitu+ngqIiIwA+qnq8wQ7biUYyB8BjgU+Fta/BXiaYEDeAmzsLPs9mdncoyfPDNmTZ4bsSYpW9tiwhIMbZ3PJ23dRv62J+X1H8G5dA+/WjeTdugaW9h68Y5DuDHqkWxi7aSUTm5bteO2yaSWL+wzl+fpJ/HDKSczrOyL40alAjbJb4RPUF437gBnA7araJCK7A0uN8qVA26qQw1T1fQBVfV9EhoZ//6UrDfbESaeqmDVgLLMGjOX68UfRp2UrE5qWMbFpOQc3zuHMhU8wYPtG5vUdwYpeg2isqaOxti78vx9rwu3mbG5lqvRubaa+uYlB25qob95A/bYm6pubqN+2gYbNjeyyaSUreg0MfwQaeHzYvsyvG8HWqhovQ3QnNJ5nuhIoiQFZVW8hmO22kenxvf82dTM2Vvdi5qDdmDlotx37+m7fwoSNyxnavI5BzU00bGlkr3XvGQNrEz3SrbRKihZJoSKkVKnSNNXaypaqmshAvqa2H401dcyrG8H7DYOY33eE9xMuFyrwB7RTB2QROR84J9z8tKouT3joUmCUsT0KaDv2AxEZEc6ORwA517wXkduA4wCqpSaqoaUcOSLtdIOGbhzzC43g9mc2Nb7YJedwJYuVmH7ILs0YUMM3Oq6BZg+zdurLQWPZ28kQ+7pJanmtbhz0c7xPTdND01RpmpSmaZXUjlfOBEiWFuw0x5Ga06UTx1cXsesa7djXictH2fU8wdFO0JbDDzm2unX2diO6sZ2O1qUpG30sXrIYEdlk1LxPVU8jXypvPO7cSD1VvUZVp4avpIMxoSTRJCLTRUSA04H7w+IHgDPCv88w9rvaO01V+6hqn16pujzfhaerUUmxPdWDrVU1bO7Rk+aqGlpSPXw2um7CmNFjaPu+ha/8B2OCH7Mkr3KiK93ehhPoxP2AtIj8BzBFVTdkOeRr7HR7eyR8AVwB3CUiZwOLgS90pt0ej6cIKBX50LUrvSxWEJUhctWfAeyZYX8j8PHCDYnelkUeHNj3tPaEzMwMl8O1zYnh9hbLDFdldeqaARjSQnxx1GhVUeP2U3PVzS5DiCVZRI613elckXydlcrL0axThnDJGfa27Z7mCk121XW5o9nlLonCLs/p9mZIZvm4xMXsM74PHaz3ClqRD2FL4qGex+PxxPADssfj8ZQIfkD2eDyeEsBryBWEqaFF3MFsPc0WkbPHWZuacl56sqW7xkOMM6/0EexwuI45luiwdUOxVxcx69pdpCwt09zIoTdn6aJDcUrTudJSmri031wrfSRdkSNHOLTblc2h/To0Y7A+/5gu3Jq9zF6VxqWHdwB5eFD40GmPx+PpPNSHTns8Hk9JoHgN2ePxeEoGryFXAKrxkNC2ImtbrAybEU3ZznxilOXnoxxzdraKHT7LkRBn24faTtVp+CznWAJajfJYcFwsPDqaIDRbOzadFnTn+BI7/VpzLnvkaMfps5yHb7ErJDsfn2WXZmwfG3tukr1MXf7NWb5T7cH7IXs8Hk+p4Adkj8fjKQFU3QsJlykVNyAHzwqyrP5g3+pZx0YkDPsOzSxL51i9w2mgK9zYcisz69ohza52bSnBdr2LLhdtN2Q1a65EYpkbbTRa2FXftYSubTlvj/Najdm1Ykgeq0Pn4SKXOBw6qOBo12gnVwi2YUNHh07b7VcKFTcgezyeboIfkD0ej6cEUOIz+wrAD8gej6cE0bgHSAVQmQNyJI3mTjFYYitJZ9eUYy5xpqacsn/ZHWHW9m2ZbYOp47m0X1tftixQR918dGun3mx/fxwucTYuFzkXeblG5eP2lmtVEFdZJL1rcre3fLTo2Go2Tlc764FHUte2HKuUaKsjzLq9KP6hnsfj8ZQMXkP2eDyeEsEPyJWApU25ou/saDfTtchqVRxubzEfOTObmiVRiB3xFHErs9p1ubLZ9uUhS3SYvGFiryZiH+osbQeuW+mOkiHyaScftzeHvBFzMzOvm5xSSELXtnwyzHW43ptXcqGywa8a6fF4Sg8l+AFI8grTb4rIMUW2ut1U4AzZ4/F0C3z6TY/H4ykFfOh0ZaCg5mrDKVNPi1aN6ZqmhpuPS5ytKZubtvuSnQbNzNKWy0XOxHUx51gd2hWSbaMubdjlEueqmw8d5PYW04Vdx+bUfhNqyu1xZbM12zzqJnZts69xV5h1J7i9qfdD9ng8nhLBR+p5PB5PiVCBXhZ+QPZ4PKWHaqcsnFrqVOaAHNG+jBU5UrZmZh9naM+OMOuYj7K9FHJEo7U0Y4f+rHZ6S1NzjIU4OzwabV/iPEKybfLxby46+fgLu8pz+SE7U37m4Vvs8vN16Lm2ffF2HTa4wqFtLbpT/ZDxM2SPx+MpDTT641Ah+AHZ4/GUHj79ZmkhIj2BZ4BaAjvvUdXvi8g44E5gEPAqcJqqbhORy4D3VPXmnI1HboUyyxcQlzCiC5lGf71jC4ea3VnyQSRC2+7DnhSYmeNii5Ea7dpZ2OzbPWdYsyMk26bQ8OhiyRdO+aCDwqpdWqdLluhAV7ZIBsNc9hkzz3xkkphrm2aXPjqECnR7K+XQ6WbgcFXdB5gKHCki04GfAler6gRgLXB2EW30eDydgBL8ACR5lRMlOyBrwMZwszp8KXA4cE+4/xbgc+HfG4EtXWqkx+PpHDRMApbkVUaUrGQBICJVwCvAbsA1wHxgnaq2hFWWAg0AqnplkjZ79q5hwuRxZifG37Ybg8MbwZYIzLi+KrsdS7JwLAzqtMFljx1t56prE5MavGThvgUvMDIPSyLIZ5HTWJktWWTpI1PdVtMjyCVZ5LIvs2SxattcOgL/UK/EUNVWYKqIDAD+CkzOVC1XOyJyG3AcQCqV4iWezHx0Ee5+Fi5cyLhx43JX7CK8PbkpNZtKzZ5Zb81CRDYZu+5T1dPyaaOJtY/+Q+8ZnLD66nzaLmWkU5bv7gRE5PvAZuA7wHBVbRGRg4HLVPWIPNrZpKp9OsvOfPH2uCk1e6D0bPL2lA8lqyGLyJBwZoyI9AI+AcwGngJOCKudAdxfHAs9Ho+nYyllyWIEcEuoI6eAu1T1IRF5G7hTRH4EzARuLKaRHo/H01GU7ICsqm8A+2bYvwA4sB1N39eOYzsDb4+bUrMHSs8mb0+Z0G00ZI/H4yl3SlZD9ng8nkrDD8gej8dTInTrAVlEbhKRlSLyprFvpIg8KSL3i0jfcN95IjJLRF4TkWdFZIpR/7siMk9E3hGRI4z973WwrUeGfcwTkYvDfeNE5EURmSsifxGRmnD/ZSJyZif2u4eIPC8it4gEkSgi8kMReSM8R4+JyMhwv4jIr8Pj3xCRaeH+sSLydEfY6LCzw86PiPQUkZdE5HUReUtEfhDuv1lEFobv+zURmRruHygifw3f80sisqfR1kki8qqI/Iex7+9G29eFD6MRkUEi8nj4Hh4XkYHh/jPD/CslcY4KOD/9ReRBo/6XjbYuCs/PF11td6T9ZYOqdtsX8BFgGvCmse8KYA/gGOC8cF8/o/yzwN/Dv6cArxMkMBpHEAlYFZa914F2VoVt7wrUhH1OAe4CTgrrXAd8Lfz7MuDMTuz3RmAI8HXgyAzn6ELguvDvTwOPEITvTQdeDPePBZ7uLucntL9v+Hc18GL4fm4GTshQ/+fA98O/JwFPGGV/C22+02izn9HPvYbdPwMuDv++GPhp+PeZBD70JXGOCjg/lxjvZQiwJrSrL/BnAoeB+11t///2zj1GrqqO459vu9qKFqm1bsAWG7RCIErRPii+GiuPahSxKkReraLRVDFNjI/UoP2D2BhNrRQpkYglUqkImooJVqk8fPAohXaB1Fq7YIkbWuODRqV1269/nHO7d5eZnZllZp3d/X2Sydx7zrm/c+4vc3/3nnPnfE/eb+k1MNI+I/oJ2fa9pB9CmfGkiaRHyHOAbT9byn8pfXPyzgdusX3Qdjewm75/cOxvYlPnArtt77F9iHQhn0/rdTmq1TueLHBIfT66yYn7geMkHU/SpRvo+2a3s2n+ye2vpI1SjVOBu/KxO4EZkjpzXjEP3Dzffx2kwFT23/oK5/CffB710lIfDcE/BiZJEikI/w3opb9vBrWdjw1tmhIjOiBXYS1wPfBJ4AdFoqRlkv5EemK5Mie/GthbOrasjTGniW2qVk9VXQ7bG1tY7xrg58B8YHORKelqSXuBi4GrBrNhe6/tDzShjYO1s6n+kTRe0qPAPuCXth/IWVfnoYnVkibktO3k6faS5gKvAablvNuBrcBW2wdK9n+RbR+gL8h02u7J7e4BXpW3N7pO/ZVMy33UoH/WkqQM/gJ0AZ+1fST7o4vkn401bE9pZvtHA6MuINt+yvbbbb+3fLHYvtb2a0lTr7+ckysp3rTif4CV6hm4WFMr6q54frYfsT3P9iV230JVtlfYng7cDHx6MBvD0M6m+8f2YduzSIF1bh4X/hJpSGIOSWP7C7n4KmByDiKfIU1C6s121ts+w/Y3B9g/lzShaQLpya+ZtNxHDfrnXOBR4ASSPO5aScdmO1/L/tlQw/ZwXX8jhlEXkOvgFvq6RU8D00t500h3/GZTqZ4/k7r/HaW0Ztc91PPbACx+gTYaYVj9Y/sfwN2k8fOe3KU+CNxIHrKy/aztpTmIXEYaJ+2uw/ZzwCbScALAM3mIh/y9b4jNHjYf1eMfYClJNMi2d5N8c0ojtkmiQK2+BkYUYyIgS5pZ2n0PUOgDbgIukjRBaSWSmcCDLWjCQ8DM/Eb5xcBFue5W63JUq/d5DPDR+4CdeXsTcJkSZwL/LLrgw9DOpvlHlbVRdpaCpUg36sfy/nHFG3/gCuDeAePsZdsvK9npIL0ILfvv8iacQ0t91Kh/SDeDhTmvEzgZ2NOIbdtuVvtHDUN9G9gOH+CHQA/wX9ITxMeqlFsDPE7qYv0aOK2Ut4L09voPwKIWtvXdwK5c14qcdhLpBrAbuBWYMBz1Vil3G+li2wH8jDRODKlbWWhRdwGzR6J/gDeShh125PO8Kqdvyef1GOmdQ/FvgPmkG/dO0pjx5EFsd5IC5o78O7sG6Mh5U0gvB/+Yv1/Rjj4agn9OIL1/KPIuadT2cF0DI+kTU6eDIAjahDExZBEEQTASiIAcBEHQJkRADoIgaBMiIAdBELQJEZCDIAjahAjIQRAEbUIE5DGEpE5JGyTtkfSwkgTnBTWOmaGSvGmD9S1RlvHM+zeoJH1a49gFku4YSr31Iul3+XuGpI8M4fglktY2v2XBWCUC8hghz7T6KWnG2Um230ya7TVt8CNfEEtIEwgAsH2F7SdaWF9D2D4rb84AGg7IQdBsIiCPHd4JHLK9rkhwEmK6Bo4+Jd6XhcW3STproIHBykj6vNIiANslrZL0QWA2cLOSsPlLJN0taXYuf162sV3SXfWehKSFkh7JdX2vUB+T9KSkldlml6RTcvpUJWH4bZKul/SUpFfmvEISchXwttzO5QOffCXdIWlB3l4qaZeke4C3lMpMlXSbpIfy52heENRLBOSxw2nAtkHy9wFn234TcCHw7XrLSFpE0jmYZ/t04Ou2f0ySYLzY9izbR7VtJU0FvgsszuU/VM8JSJpIEky/0PYbSNrDnyoV+Wtu23XA53LaV4AtOf0nwIkVTH8RuC+3c/Ug9R8PrCQF4rNJmskFa4DVTrKti4Eb6jmnICjTUbtIMBqRdC3wVtJT8xySaPhapSV6DgOvr3BYtTLvAm60/W8A27WE688kDZ1011m+4GSg2/auvL8eWAZ8K+8Xy88/TNYyzud4Qa7nTkl/r7OuSswjrZKyH0DSRvr74NQ0MgTAsZImuSQBGwS1iIA8dnicPklNbC/LXfetOWk58AxwOqnn9FwFG9XKiMZ0bBstXz5uMA7m78P0/bZrHVOJXvr3HieWtqu1exwwv9wTCIJGiSGLscMWYKKkchf/mNL2y4Ee20eAS6ksfl6tzGbgo5KOgbSwZ04/AEyqYOf3wDuUJE/L5WtRLKX0urx/KXBPjWN+A3w413MOMLlCmYHtfBKYJWmcpOn0aQA/ACyQNEXSi+g/1LKZPlF/ci8iCBoiAvIYwUnW7/2kQNgt6UFSl79YAeI7wOWS7id1w/9VwUzFMrbvJGnzblVaYaMYv/0+sK54qVdqy37gE8DtkrZTWupnAAslPV18gDNIwui3SuoirQm4rsqxBSuBcyRtAxaR5FoHDiPsAHrzC8blwG9JgutdwDfIY+9OOtBfJd1QfkX/MfkrgdlKSx09QVpCLAgaIuQ3g1FN/hfGYdu9kuYD1zmtAhIEbUeMIQejnROBH0kaBxwCPv5/bk8QVCWekIMgCNqEGEMOgiBoEyIgB0EQtAkRkIMgCNqECMhBEARtQgTkIAiCNuF/v1IPjPvnfxAAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "jfact_map = WcsNDMap(geom=geom, data=jfact.value, unit=jfact.unit)\n", "fig, ax, im = jfact_map.plot(cmap=\"viridis\", norm=LogNorm(), add_cbar=True)\n", "plt.title(\"J-Factor [{}]\".format(jfact_map.unit))\n", "\n", "# 1 deg circle usually used in H.E.S.S. analyses\n", "sky_reg = CircleSkyRegion(center=position, radius=1 * u.deg)\n", "pix_reg = sky_reg.to_pixel(wcs=geom.wcs)\n", "pix_reg.plot(ax=ax, facecolor=\"none\", edgecolor=\"red\", label=\"1 deg circle\")\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J-factor in 1 deg circle around GC assuming a NFWProfile is 1.35e+21 GeV2 / cm5\n" ] } ], "source": [ "# NOTE: https://arxiv.org/abs/1607.08142 quote 2.67e21 without the +/- 0.3 deg band around the plane\n", "total_jfact = pix_reg.to_mask().multiply(jfact).sum()\n", "print(\n", " \"J-factor in 1 deg circle around GC assuming a \"\n", " \"{} is {:.3g}\".format(profile.__class__.__name__, total_jfact)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gamma-ray spectra at production\n", "\n", "The gamma-ray spectrum per annihilation is a further ingredient for a dark matter analysis. The following annihilation channels are supported. For more info see https://arxiv.org/pdf/1012.4515.pdf" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['eL', 'eR', 'e', 'muL', 'muR', 'mu', 'tauL', 'tauR', 'tau', 'q', 'c', 'b', 't', 'WL', 'WT', 'W', 'ZL', 'ZT', 'Z', 'g', 'gamma', 'h', 'nu_e', 'nu_mu', 'nu_tau', 'V->e', 'V->mu', 'V->tau']\n" ] } ], "source": [ "fluxes = PrimaryFlux(mDM=\"1 TeV\", channel=\"eL\")\n", "print(fluxes.allowed_channels)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(4, 1, figsize=(6, 16))\n", "mDMs = [0.01, 0.1, 1, 10] * u.TeV\n", "\n", "for mDM, ax in zip(mDMs, axes):\n", " fluxes.mDM = mDM\n", " ax.set_title(r\"m$_{{\\mathrm{{DM}}}}$ = {}\".format(mDM))\n", " ax.set_yscale(\"log\")\n", " ax.set_ylabel(\"dN/dE\")\n", "\n", " for channel in [\"tau\", \"mu\", \"b\", \"Z\"]:\n", " fluxes.channel = channel\n", " fluxes.table_model.plot(\n", " energy_range=[mDM / 100, mDM],\n", " ax=ax,\n", " label=channel,\n", " flux_unit=\"1/GeV\",\n", " )\n", "\n", "axes[0].legend()\n", "plt.subplots_adjust(hspace=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Flux maps\n", "\n", "Finally flux maps can be produced like this:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "flux = compute_dm_flux(\n", " jfact=jfact,\n", " prim_flux=fluxes,\n", " x_section=\"1e-26 cm3s-1\",\n", " energy_range=[0.1, 10] * u.TeV,\n", ")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "flux_map = WcsNDMap(geom=geom, data=flux.value, unit=flux.unit)\n", "\n", "fig, ax, im = flux_map.plot(cmap=\"viridis\", norm=LogNorm(), add_cbar=True)\n", "plt.title(\n", " \"Flux [{}]\\n m$_{{DM}}$={}, channel={}\".format(\n", " flux_map.unit, fluxes.mDM.to(\"TeV\"), fluxes.channel\n", " )\n", ");" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.0" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 2 }