{ "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/v0.9?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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Vdeq3qnpclvUPAg/maV6XUdIz4kxO1yIyTkSeF5G5IvJXEakN118iIqcU1WCPx9MhVOnUgI5yoWRnxIbT9acJxPUXReQ+gnDDK1T1NhG5GjgNuCphn9sXUlneBxtGl5P6Crs0YatfpyZs9+XsJ4eWG7GPHNtmPycx3ddcdOnHNl2UFtNdhcM+t6ZvcLTJqSe79GOIONyKpLNuK/YfwqXz2mWKrGsh4nNsXycOnD7GsfNlb2x8Hzq9alJewRoVQyn/rGxzulbVLUC70/UhQHu89wzgi+H79cCmbrfS4/F0GoqfEZcaGZ2ugTWh2N6+rhFAVX/ZveZ5PJ6uwCeGLy0y3Z9kUvGT++9kC1XOUchTnK5kjrBll4taHhU6Yi5CLpc0V9hyzC3PlX0th9zgyNSW0X1NlcFbmhnesoaGLc00tKyjoaWZwVuat/3fq20LPTRNjaZJaZo2SW17bezRi9W19ayqq2d1bT1NdfU01fWnqbae5b0Hs65Hn/gxjWNHMF3LYuHP9vkz2lPZZQtwu3WJEQ4dz4pmubrhQLO7uoldzcP+e7vCoc3qInYh2za7nId5HXeuNqFIPonhB4jINcD9qnp/pxrSzZTyQJzJ6XoRMFBEeoSzYqcjtojcDBzVpVZ64qgyZMs6JjYvY0LzUnZZt5SJ65eS0jTLew0OBtO6eppq63lrwA401QbLm2rqaJMUrZJCRUipUqNpeqTb6Nu2mcEtzdsG8V3WLWXwljkMaWlm5KYmmnv24Z36UbxT38jc+kbeqW9kXU/H4OzpEkRkg7F4t6qemM/+CmxNnmsip9dEuVDKA3E2p+tpwJcJNOOTgXuzdRBeBCcCiP2kxdOpDNqynulNc5jeNIcp6xYjquGgOIoHR+3Dr+uPZEXdgAyztI4jmqZx42omNi9lYvNSjl/4JDs3L6O5Zx/eGLAjzzZMYubgCWzo0avTj+2Joqp9O9aD+OKhpYSqtopIu9N1DXC9qr4pIt8DbhORHwOzgOuKaWfVosrYjSs4sGk2B6yew5iNK5k5aAJPDd2N3084Ihh0u8pDwjZFUizpM4QlfYbw+PA9gXBw3rSaqR/O5zPLX+Y/3/4bc/qP5pmGyTw7eBIf9BrULbZ58kPplsi6kqNkB2LI7HQdpq7br6AOs1XasEKcY1UHnBWfHeHG+VRUtraNaIwu3dduc2jG8ZBmhw5ck1k/HrFpNZ9f9iKfWPEaKZRnhkzmuvGf4bWBY2lNhZeTKcHmGosLnSE7KlUAiNawuH4oi+uHcv+Y6fRqbWGf1fM4cNVsvrbwCVbX1fPY8D15aMTerK3tZxhsp7o03rv0Y4hoyNJma7lGVYsc7mtqtMfOjq0DO1wi42fW4aJmXONiacIaq1xu2hM7SIfxM2KPJwMpTbPP6nl8YelzTFm3mIdHTOPi3b/Ggn4jQMSdW6JE2NyjjqeH7crTw3alJt3GlLWL+Nyymdz0/K94tmEy9zbuz+z+Y3J35OlSVMXPiD0ek/5bNnDY8pf4/LIXaO7Zh3sbp3PprsfRUlPbZcl7uoO0pHhj4FjeGDiW/ls28tn3X+LC2bezsaYX943aj8eH78nmmtpim1mVBA/rfBVnj4f+Wzdy3LtPcdjymTzTMJkfTzmWOQMqc7a4rmcf7tjho9w55iD2Xj2PI5c+x2nvPsLtYz7K3xoPYIv/inQzkk+whndfK0uy+RHnCnF2lSZyVFvOJ2w55itsaruOtrivcvaw5ZgfsbVvHVs5evG/+fKSf/PksN05Zfp5rK7rH24b3dWdBjP7MTot57f1OeMFlbOnulRDKm1vU2p4cdguvDh0F3bYsILT5j/CjBeu4Kaxh/D3EdNIp2pipZFidwWuStKG7muXRoqVXDI6UnLpvubxs+vHQIayS6YN5klxP0uIpMW0fas7SPCwLvFF4t3XPJVDTbqNw5e/yAmLnuS1gWM5Z9qZLOk3tNhmFY1FfYfxgz2+xuS1izh93t85ZvG/uG7cZ3h68JRu8wSpZnxknafq2G/125wz7wGW9R7MRXucxNz6xmKbVDLMHrAD/zn1G+yzei6nL3iE4xb9k1/vfKQ/R11InpF1FUN1DcRZQnhj7mqu8GNXlWSXbAHusOWYpJDdfS0iN8SOmcwlre/WTfy/+Q+y55p3uWKXLzKzYYLVr1tSiMgcsfBnc78cX6pCv3O23GB3a6yIZUmLZA+zKzHbHaV4cdguzBw6gc8sm8VP35jBA437cfPYg2mzIu4ju8YkGdO1LSohxDOhme5r6axtmfbNao99XJeMZodn22HVZnMXDJp5FA+tGKrvE3vYr+lt/jTzd2yu6clp+53LzIYJxTap5FFJ8cjIaZy+37cYv/59rnrxD0xoXlpssyoOVdiaTiV6VRLVNSOucsxZ8M8mHc2shp2LbVLZsbquP/+9+4l86oNX+OlrM3hg1L7csuPB24NZPB0ikCYqa5BNQvV94iplt7Xv8aeZv6Ml1YPT9/kWrwwaX2yTyhcR/jFiL87Y5xzGr1/OVS/9gdEbVxXbqoqhLcw3ketVSVTXz7jhshbRhe20fy73HVdVi1xuP47UkfGQ5+xuZ9F0mg57CLTew5e9yKkLHuGyKV/hhSG7GNsS2zZbPzH3NYdGbPrjd5dGHOvWrIhhh+FGckdaTbaHmvkxrX5W9RnIRXuexBFLX+CKWddy2ZSvMHNwKPPEXNLMw9t/fIdm7KguEmu3/2aa/dqQWL+OuHQ7LawRAh0Lf+4gebqveT9iT+lTk27jrPkPsveH8/j2tG+yuIpd0roMEe4fvT8L+w7j4jdu5bYdPsZdow8stlVlTF7SRMX4EXtpokLpv3Ujl71xI6M2rebsaWexpM+QYptU0bw2aBznTDuTQ99/ie/OuYue6dbcO3kykg7r1uV6VRJ+IK5AdtzwAVfOuoq5/Rq5aI+T2NCzd7FNqgo+6D2Ib037Jr3bWrj8tesYtKW52CaVHYHXRE2iVyVRXdJENj03V2hy0m1z+BFHfHPzKXHk8BW2tdxd1i/hx6/fxB93PoxHR0yL6r4Of+Rg2dFmXfdOjdjsJ+Zj3EUzGbX9gQ09NFaF2NjOjgq29WRHuHYsFWcbbKrpxQ/3OJ6T5z/Gb1+5hv/c67RY7mOX33BguxHibIdyW9s602vaREpJ53GN2zhKanWUag3o8DPiCmL3te/xk9dv4heTjubREdOKbU7VopJixrhPcdeYA7li1rWM2thUbJPKCi9NeMqWPdcs4JK3/sz/TjmG54dMKrY5HuBvow/kLzt8nCteuda7tyWk3WsiyauSqCppIms15hzVMsxtnWHMsbBWl9zgDquOyhiuEGdh1zULuXj2rVy663HMGhIN0jD7SceOGV2M9pu9LVhO2OYIf87YnpBYKLLVkbjkh7TrFt2WGyRrm/33zTSruX+H6bTV1PDz16/n/L1O5/3eg2PbxKQK4+/kkiICk4y/Wexyy36NxcKfM9i+jVh1aMMNNBY/3nF8QIen7Nhl3RIufeMW/nfyMT5Io0R5sHFfbt3x4/zylesYunlNsc0paVSFVk0lelUSlfVpqoyRm1bzk9dv4vJJRzGzYWKxzfE4uK9xOvc0Tudnr95An9bNxTanpMlDmhggIteIyBHFtrmj+IG4TOnd2sKlb97CLTsezDNDJhfbHE8C7tjho7w6cCcumnM7KXVkka9i8tSI16rqGeUeVQdVphEndp0qNIw51hZdVJee7Ep1aZudUi545w5mDxjD33Y4wKk9R3Rhy550D5f2bNvu0ojtbR375dCME2OHItvLhg4c14jF0WYtS/a2VGv0oOaT/GwznN9NOoJfvnwdX1/4D/40/rPBSltndbiE2aHJGtFrLd+7PMKYneHPLrrAHbHSHsQlwc+Iy5BT3n2M/ls38puJX/AVI8qMtlQNP9z1OA5e8RqHfPBKsc0pOdr9iKvNa8IPxGXGx1e+zmeWz+KS3U7wqRfLlLW1/fif3b/GOXMfYOK6JcU2p+SoRj/i6v0m5xMdlLRCR65KH85bdoccEsoLO61/n3Pn389/7XUaH/aqD7ZzSRHWMWNSRGxfh30xqSL7MSNShSPqLlN7YmJShN2eXX5ItTlki7aoQWJoHimrzT6kKVXYA0XkYyvM7z+KyycdxaVv/Jmz9v5/rKntZzaTeYHYtRpxH7NOrlrFRCXhdRwjR1a3zkQVWiss6XsSqu8Tlyk90q1cMPtO/jj+MObXjyq2OZ5O4Olhu/LYiD359jv3ZajnVL14acJTspyw8ElW9BrAI8P3KrYpnk7khnGfYoeNK/nEyteLbUpJ4DViByKyo4h8KnzfW0Tqu9Ysj8nOzcs4YtkLXDHxi/7hXIWxtaYnP590FGfP/T8GbVlfbHNKAlVJ9KokcmrEInI6cAYwGBgPjAauBj5ZyAFF5FDgN0AN8CdVvUxEdgX+BLwDfF1V0yLyI+BIAiluBXCKqi6TQOj6DfA5YGO4/mURGQvcqKqfyHrwbO5j+WRfc1XdiFU+zqOfLP32SLfy3bfv4uqdD2NV7wFBvw6t2eWi5tKE7XZXm90er/SRvS0e4ixZ22KYkcn2rbxDM7YzqpnnLGW1ieUHZ+rCaesgKctgU5G1XdsiA4dVZWPOwB14eOQ0zp17H5fsdrwVih+1L6bPGq54sRBn+3lB0moeeX0fOv+mutIexCUhyVk8GzgIWAegqnOBYYUcTERqgCuBw4ApwHEiMgU4H/gCMBP4TLj5L1R1D1WdCjwAXByuPwyYEL7OAK4qxJZy4YRFT7KibiCPjvCSRCVz47hPBhLFiuqWKFS9RpyNFlXd0r4gIj3IWTEsK/sB81R1QdjnbQSz3pqwzzThvEhV1xn79TWOeSRwkwY8BwwUkZFAG7C6QLtKkp3WL+eI91/gV5O8JFHpbK3pyc8nH805cx+g/9YNxTaniAht6VSiVyWR5NP8U0QuBHqLyKeBO4BCQwobgcXG8pJw3W+A/wMOAB5pbxSRn4jIYuAEts+IM/ahqotV9agC7SpJTn/379y84yE01fUvtimebmBO/zE8NXRXTlj0z2KbUlTy0IgrJtdEEj/iC4DTgNeBbwIPEui5hZBpWqeqOgvYP0PDRcBFIvJ94BzgB9n6yHgwkZuBo4wV2xuTVmaOdxrd1qU1u9JMxvqJbrvnugWM3tTEA437ZqzMvL3P7Mewl/PRfeM+x/a+mffLbV90uWC/nXTUPleosqRs3TdrN/HUkcalFdeErX41++eOuKfZzxKMppt2+iQ3PHsFd+1wYFDZw1VWGiLXcVw3z36txj+nsV3MVzl5qLSImNP5u1X1xKwHynRs8gpxrp7ioaqaVtVrVfUrqvrl8H2h0sQSYIyxPBpYlmC/vwBH59uHqp6oqn1VtW8BthYPVU6f/zDX7/RpHz1XZXxYV899jdM5+d3Him1KQbR/38JXXoNw0EHw25PkVUlkHYhF5HUReS3bq8DjvQhMEJFxIlILHAvcl+X4E4zFLwBzwvf3ASdJwHSCX8X3C7SnJPlI01v00DaeGLZ7sU3xFIHbd/go+zW9zdgNHxTblKLgQ5yjfD78/+zw/5vD/08gcBvLG1VtFZFzgIcJHtBdr6pvZtn8MhHZheAB3kLgzHD9gwSua/NCO75eiC2dVjw0Uo0iRz/mLZ0tf4S3q6l0G6cu/AdXTjycdE1wz+/MzJYrFNkRtmxLClFXN7st+bZqbOtybQPrzjYv97Vok+2iFpEmWrOHYKdsdzXrkNEvfHYpAkBrtrfHZmzmtraCYJ2T9bW9uW3sxzltwSNcvNvXrI0d/Vo6S8ydLeVqLPD70Mlo+LCu2sg6EKvqQgAROUhVDzKaLhCRfwOXFnJAVX2QYDDNtd3RWdYr238cKo7PfjCLD3v248XBPtF7NXNP43SOXvRvpqxdyFsDdiy2Od1KpckOSUjy09NXRD7SviAiBxK4k3k6G1WOWfQvZoz7pHdXq3K21vTkz2MP5pjFTxfblG7HR9Zl5jTgehEZEC6vAU7tOpOql73WLKA1VcNrA8YW2xRPCfDoiKl8Y/7DDN28hpW9BhbbnG4heBBXWYNsEnIOxKr6ErCniPQHRFXXdr1ZXUSBFTqcaTJd4agOVzf7WlMRvrDsee5r3D+oupDdQyjalrOShkPyqW9lAAAgAElEQVTLtbXniPtadFvbnS3d09gvtq15fPuYtr3GQj4acSx9pbVstNtRuNIaWcp+EKJ/UnuAsJ2H1OW+ZujHtu3Z5NrNPet4bPieHP7+TG7Y6dNhY3Z3tnjVZmvbiIbsqAriK3R0O0lyTVxsLQOgqgVpxJ7MDNm8lqkfLuBnk75cbFM8JcR9jfvzy1eu5+axB1eNK6PXiDOzwXi1EeR6GNuFNlUlh7//Io8P35NNPeqKbYqnhFjYdziL+gzlIyvfKrYp3YIipNOpRK9SJHTNPUpEJuWzX5KAjsuN10+ATxCEGXs6iZp0G4cve5H7GmPBhR4P9zbuz5FLnyu2Gd2GJnyVAiJyj/H+SOBx4AjgXhE5JWk/hdzr9AF2KmC/0sLUa/MolZTTV9jAWbHY2G/6h2+zrHcD7/UbnnFfp+7rqK5sL9tt8dBko82hCUNUF7bbIhpxTD+2dFXTplzTAtM3OFZR2Qq1NXVgR+R5vKi9Hd5rlD/KUZ7Jda5xhj/bmxp6ssC/h07hnLkPMGbjCpbUDbWMMHyX7UvTOozrOu5QyHNnUn4P60zfwu8Bh6jquyIyBHgMuDFJJ0k04tfZfqnUAEOBH+VlqsfJR1bN5vHhexTbDE+J0paq4emhu3LQqtn8tXFo7h3KnVKZ7ibDtLaHqr4LoKqrRGKVFLOSRGj5PMFU+wiCXMGjVPV3+VjqyU5K29h/9ds8OyQvSclTZTwzZDIHrppdbDO6hTLLvraniKwTkWZgqoiMAAhTONS4d91OEmnix3byDhG5uaCEHsUmlwTRjrOibR77uap5hP3sumYxK3oNYEXvQdn3dUoc0SaXVOGstoxVdcMRtgxROcKWJtpqjdvlmGxhSROuah4Wzqobrda2W82F7H/PmEpgzWHMQsgpu806n2JoF7HbeVPXcP09IfK3b7fnlcE7cfGbtzKwdX2k4nPEJc2+3uzUcubkLR7LbdiThzSQ9DuVEAXSMbuzUvTsa6r2N2UbfQiyVSYiyYx4V3MhTAy/d9IDeNwc0DSbZxomF9sMT4mzNdWDmYMnsH/T28U2pWtRArE7yasEEZH+IjKYYGxN/MdyZV/7fjjd3iOcerdPvz8A7u2wxR4ADlw1x8sSnkT8e8hkDmyqfHmiHNNgisg3ReQD4DXgpfA1M+n+WQdiVf2pqtYT1I7rH77qVbVBVb/fYcs9jN64kl5tW5jbb1SxTfGUAS8MmcjUDxfQs21r7o3LmXLyX9vOfwG7qupYVR0XvhJ7l2XViEVkkqrOAe4QkWl2u6q+XJi9JYIr7Z9rWwtXhQ5XFQ4VYZ8P5/F8wy6xkGZ721ibq4JyHu5rrpBnV9iyvWxqwmDpx3VWW50ltJqasR2Sa6GmdmintmyJfriUI32lKyVlzCXNrJJs+a/ZerLzXJtt1nl3hTybl9C62r68228Eu61bxMuDdw430MwbE3dJi1TowML1HejGNJhQtgl95lNgemBwP6w7n6BK8uUZ2hQ4pNCDegJ2WbeUVweOK7YZnjJidv8x7NK8dPtAXImU3mw3Cd8HnhGR54GW9pWqem6SnV35iNufRh6mqpvNNhHpVYChHouJzUu5Y8xBuTf0eELeqR/FRys53FmtO5/y4Y8EUXWvkylOKAdJ3NeeAWxpItO60ifpLVUexUMLpVdrC8M3f8h7fYNoungUXvYoKHcWN2vZ4QaXl4xhL5vRc7aLmiFHpHtHr0npFfU7q6ndvtyjp+WTZtG6dfs9fduW6P19PPXA9hVifXBty/we8jsnLtdBtbKk2bJUtjaIXmJ2P3PrGzl1waN0GEeR1LgbXD79dAZlORC3qur5he7s0ohHEOSU6C0ie7H97PQn8JHzdICd17/Pwr7DaUsl9vn2eFjSu4EBWzfSf+tG1vWs0K9heUoTT4jIGcD9RKWJ1Ul2ds2IPwucQlAl+VfG+mbgwrzN9ESY2LyUt+t97iRPfqikmFs/ignNS3lp8ITcO5Qj5TkQHx/+b3qUKQnz8rg04hnADBE5WlXvKtw+TyYmNi/zD+o8BfFOfSMTm5dV5kDcHtBRZqhqh77MSSp03CUihxNE2PUy1vvE8GBVcbbaHLrvuA3LuXvMAVnlsMTXYsy1KHs/uTVO470jMxtEQ5XtsGXTRc3WhOv6boks1/fZ/hx4QK/IM+EYazdvf0bcvDH6vLiF2qgNkXDo6AcX46qPVXjOo4JITE92uBxG/0453PQc0e0IzO83gv1WvxM0Rtwns+vSYFVxzvtxUvdRasEaSRCRs4E/q+qacHkQcJyq/iHJ/jlDnEXkauCrwLcI/vRfIZr6zVMAQ1rWsbJuQO4NPR6LVXUDaGhpLrYZXUdakr1Ki9PbB2EAVf0QOD3pzklyTRyoqicBH6rqD4EDgDF5m+nZRk26jfrWTayt9cWwPfnTVFdPw5bKHYhFk71KjJQYETQiUgPWbZqDJO5rm8L/N4rIKKAJ8OJmBxi0dT1revYjLUl+Bz2eKE11/RlcqTPi0gxfTsLDwO2hgqDAmcDfk+6cZCB+QEQGAr8AXg4Pcm0BhpYuOXwhY1U5OkhDyzqa6uqjK52+yzmWDdxVQext7bSd2fvJJ2TXDFs2/YQhqgkD7Dxw1bb3U+rfx8VbzSO3vZ/HkEib6WMM0Lplu4Eu3dep84J1TmzR1Y6PdvSTZbuMy5HjW41tyoaaOmo0Ta/Wlpg2XigFhz93OqWbWS0H3yOIRD6L4BQ+Avwp6c5JHta1V+O4S0QeIHhg59OFdYCGLc2srq3PvaHHkwkRVtcG8sSy2oZiW9P5lOGMWFXTwNXhK2/yujdW1RZVXQvcUcjBPAGDtzSzyp4Rezx5sKquvnIf2KUTviqIQoqHQjfFIIrIocBvCEqO/ElVLxORccBtwGACqeREVd0iIpcA76nqjd1hW0cYtNWqslAsOnL77Ar9NbKo2WHLtouaKUf895A5DoPgx8b7lZuj5892Z2tNbb+04/YZ7/ORCUrojvnD2n4M2rq+2GZ0PmXqR9xRCn1a1OU3D+FTxyuBw4ApwHEiMgX4GXCFqk4APgRO62pbOpue6Ta2pAr9DfR4goodPdLu3BzlSjl5TYQFNPbqaD+uXBP3k3nAFaA7hKn9gHmquiC05zbgSIL0m+3hhDOAS4CrgPVs9/AoaWo0TZv3mPB0gDZJUWMnRK4Ukg+yA0TkGuB+Vb2/6wxy8i7wbRHZE3gVeAh4JPQjToxrWvbLAts6i0ZgsbG8BNgfWKO6rVTkknA7VLU7bOoU/EDs6SgVPRAnpxSKh95GIJUSzowPBe4O7+j/AfxdVV/I1Y8r18Q/O8nWQskkFGVKVZb191NEbgaO6jSLOonqU8A8nY0ipEowFlhENhiLdxdS7b1UZId8UdVZwCzgpyLSH/g08A2g8IG4BFhCNIJvNLAIGCgiPcJZ8WhgWbYOwovgRACR0vnz+tmMp6P00DZaU6V3V6WqHQsXVUoxfDlvVHUdcFf4yknp/SW38yIwQUTGiUgtcCxwH/AE8OVwm5Mpw4rSfiD2dJSKlrfKs3hohyjZv2Q44z2HIHRwNnC7qr5JEMFyvojMI3hoeF3xrCyMrVJTsU+8Pd1DD22jVSqzqEA5eU10FjmlCRF5FPiKld7tNlX9bFcbp6oPAg9a6xYQeFSULWt79mGHzSuLbYZ7VmG32ctmmklH5WM79NhMZQnRsOUf48bc1u7HPo55e2vbFwkGyPU5k7Z1MwO2bGBtzwpNGlVC5zkpItJTVbda64ao6qps+5gkmREPyZDebVh+ZnpMVtfWM6RSo6I83cKQLc3xfCWVQhlJEyJysIgsAZaJyCMiMtZofiRpP0kG4rSI7GAceEdK5jSUJ0219Qyu4DSGnq5ncEszTRWYrySpLFFC0sTPgc+q6lDgGuBREZketiV+6pjEa+Ii4GkRaXdn+xhBlqHKIYcbkBjt2gnOZ011/eN5AtKWDTVmKi+rA4e5sQtUs7wn+rkCG4zbeXvbdPZlseVuo+qFXW3ZDkU2s6jZYcs2rgod9nFMG2z7xCGrxM6fua19vhzn2jlQ5COH2NcFQQXwGk2zoUev+LkvkNhnM+luN7ny8pqoDZ9doap3ishsAj/iC8hjwpok+9rfRWQaMJ1ghD8vqe7hyczq2n4M2tIcXODdmmLQUwlsy94nQiXenJbQbDcJW0VkhKouB1DVN0Xkk8ADwPiknWSVJkRkUvj/NGAHAn/dpcAO4TpPgWxN9WRzTS39t24stimeMqShpYL1YSgrjRi4ABhurlDVJcDHgcuSduKaEZ9PIEFcnqFNCXI+eAqkqa6eIS3rWOfLJXnypGHLusrNZ11a+m8SpgJ/tVeG6YJ/krQTV4hzuw58mKpGcheKSK8Mu1QnpoZoV3uIaYHbVyzsM4xx6z9gQb+RZMK8GJ3XZUy3jEodZj8xNy6HDhzTVa3llKHBbsv80b7csv1EpK1zYleUMN3ObN3XxtzW1oR1c3Q5ZdiQsio1p1z6sUNPdp0vsAYQx98+F7n05XHrP+C9vsPCmWH2C8Wld5c05TUQNwLPiMi7wK3AHYVIt0m8Jp5JuM6TB+/UNzKxeWmxzfCUIRObl/JOfWOxzegyJJ3sVQqo6nkE0u3/AHsAr4nIQyJykogkvm1xacQjRGRvoLeI7CUi08LXJ4A+HbS/6vEDsacgVCt+IC43NOCfqnoWQX6cXwPnAR8k7cOlEX8WOIUgsc7lbPeJWwdcWIjBnu3MrR/FzuvfRzSNVmrOAE+nM7xlDW1SQ1Nd/2Kb0nWUlzSxDRHZnSAnzlcJqt0nHiddGvEMYIaIHK2qiTIIlTxJdTrbd9McJzvJp7K5Zx/W9uzL6I2rWNx3WEzPU+M4MZ/eiL9qdk0YQMzPYm/r8g12tAGIoQvL1mhbKuJrHf2RSVv9mNWWW3NVLTH9S23dtyVlLRs6sGVfxPZcn9NxTuKacdK/mVptsT9+1n46bTbsuo4z+C4X1E8hlNnDOhGZQDD4Hge0EeQm/kx7QYukJJmK7S0iA40DDxKRXGkBPAl4p34UE5uzZvH0eGJMaF7GO/Wjim1G11Je7msPE1S2/6qq7q6qP8l3EIZkA/FhGXJNfC7fA3nivFPfyKTmJcU2w1NGTFq3pPL14TIaiFV1J1W9SFVfF5EdReRTACLSO5+HdUlCnGtEpE5VW9oPANQVZnYJEXH7yfFXjbTbUoAR/pzzltMMW1ZeHjSeC9+6HdlZUYfEYHdjuljZ8nJecoPtqmVUXxb71t/+yTabY9GBRj/2+WqLdqSG11ms2rJ9SId7ne2iZsoRNVts97XM7yEqWwTHMT6Ly7XNti+fkHCX25nxvlfbFiavW8ylA47bdm25JA/7wik4jDlHv52JUDoeEfkgIqcTxF0MJoioGw1cDXwyyf5JZsS3AI+JyGkicirwKEHRTk8HmdtvFH3aWhi9sQRSYnpKnr1Xz2VO/9Fs6FHBbvxZEvyUcNKfds4GDiJwZkBV55JHlsokuSZ+LiKvE4zsAvxIVR8uzFZPBBGeGTKZA1bNYVH98Nzbe6qag1bO5pmGycU2o+spvUE2CS2qukXCu0MR6UEenySR35SqPqSq/6Wq/+kH4c7l2YZJHNg0p9hmeEqclKaZvmoOzzZMKrYpXU8ZacQG/xSRCwniLj4N3AHcn3TnJBU6pgO/AyYDtQSVlDeoavk5MppuOa6fIKdrj7Xscm2LucEZy6Er1qwBO3HR+r8yoGV9JO9EpKSdpR87U1taxxTD5SvVFm3TlKWdtpltVr+Wdur8BTfsVVtXta64yHFyTQscGmxMI3bowKmtmbeDDNqzqcfbx2yzz7X53tZVs7zPtBxxgwveT1m7iNW19XxQN8iqMKIZ94u12bh02Hw04Hxc3RJSgrJDEi4ATgNeB75JUFnoT0l3TvKw7vcEfnJ3APsAJwE7522mJyNbUz2ZNXA8+ze9zaMjfVI7T2YOXDmbZ4dUwWwYSnG2mxNVTQPXhq+8SSpNzANqVLVNVW8ADi7kYJ7MPNMwmY+vfKPYZnhKFVU+uvJNnhlaHfpwOeWaEJEjReRsY/l5EVkQvr6StJ8kM+KNYTn7V0Tk58D7QPnnbjSjl9L2LbtjW+u2TZ2ubVm7iSw8NWQKZy54kKGb1rCy18DYvrHbXDHbLFsle/Rc/NY6umwGrqVi94fRfs2uYr/mpuudLU1YEkLkXOfKkR85J1a/Dtcyl4tayo4KbLXkBqNf+3zl576W/XqLLVsyxl6r59OS6smcfqMj7nTt7Rn3y4TjOnbJEXGZpYunrOU1I/4ugWLQTh2wL8EYeQOBkpCTJDPiEwl04XOADQRJLY7Ox1KPm801dTw2fCpHLHuh2KZ4SpAvLn2O+xr3z+CvXZmUmftaraouNpafVtUmVV1EHhPWnAOxqi5U1U2quk5Vf6iq54dShacTua9xfz73/kx6pFtzb+ypGoZsXsuea97lH8OnFtuU7qO8vCYGmQuqeo6xODRpJ1mlidB3OOvHVdU9kh7Ek5tFfYexsM8wPrryTZ4YvmexzfGUCJ9f9gKPD9+TTT3KP5g1EaU1yCbheRE5XVUjD+lE5JtA4ltcl0b8+UItK1mSalsuNzSHfhxzCbLunyK6XMwlTblv1P58aemzPDlsj0jIs0trjoXL2seMhNZa+rG9rXHrG79Vyq4Zq0MrtfV2tYotR05DPhqxI+zbtsHlomZrwjE92XRfs93VYsd06MDmtq6QZqO9R7qVw99/ke/seWrGkOZg2bym7OvW7tflzubox0Un68VCSckOSTgPuEdEjgdeDtftTaAVfzFpJ640mAs7ZJ4nb/49ZDJnz3uAceuXM39AhWfY8uTkIyvfYnGfoSzsW11Rl8UaiEVkJ+AiYICqfjlctwOBC+8q4B1VjRQEVdUVwIEicgiwa7j6/1T18XyOnVMjFpHpIvKiiKwXkS0i0iYi6/I5iCcZbaka/tZ4AF9b+ESxTfEUmZSm+dp7T3Dn6IOKbUr304kasYhcLyIrROQNa/2hIvK2iMwTkQsAVHWBqp5mdTGRYGA9FZiS1WTVx1X1d+Err0EYknlN/J4g6fFcoDfwDYJIu7yQgN+GH/w1EZlmtJ0nIi+LyFfD5V4i8oKIvCoib4rID41tx4W+enNF5K+hax0icomInJKvXaXG30YfwG5rFzJxnU+PWc0csvxVNtXUVkdIs03nPqy7ETjUXCEiNcCVwGEEg+txIpJtkJ0FHCsijwNdNkNK4keMqs4TkRpVbQNuEJFCioceBkwIX/sDVwH7i0g/Ar+7/YC7CEpTtwCHqOp6EekJPC0iD6nqc8DPgCtU9TYRuZogrPCqvK1xaWuu5ZgOZ2i5qWhbTD4zdTj7/ivUEFvoyc07HMzp8x7mu1NPjbRt29Wlq8Z0YPO9pYe22Ttvb09bHceyYBofzq66ocY5iWnEdkeFVonKp7JGm/25zTZrv1h6ze37xv2Is+vA+enH0eXa1q2cuuBRfjb5y+HnNJ9DOJ5f5Ep7mS002l7O5/vQ2eTnmjZERGYay9eo6jWR7lSfEpGx1n77AfPaE7iLyG3AkcBbGY7xdeAHYT93EvgGdzpJvgaRgA4ROY/CAjqOBG4KC+09BwwUkZFsH0q2nf5wm/XhYs/wpRI8TToEuDNsm8F2QXw9sKkAu0qOh4bvzfDNHzJttfcSrEY+v+wFFvYZxmsDxxXblOKQfEa8SlX3MV7XZO4wRiNg+v4uARpFpCGc3O0lIt8P2/4OnBuuf69Dn8tBkhnxiQQD9jkETwgLDejI+OFVdWboKjcT+EV7Y3j78BJBXosrVfV5ERkCrFHVVrMPAFX9ZQE2lSRtqRqu3+nTfGPBw/y/QePJ7U7gqRR6t7ZwwsIn+e6eXy+2KUWjG8KXM32hVFWbgDOtlW8AX+5qg5LkI273ntgM/NC1bQ4yfvjwGD8Ffmodtw2YGtbL+5uI7Ebm8tRZb2RE5GbgKKPT7Y0OmcAZ8uy4/bMrdERihrGkgZR9uxfd9l+Dd+XYhU/x8Q9e558joy7bkdteO9rK4b5mSxFp69RFi37aMou1r/lRYtKEcU5clT0AjWgnuIn8yezzZx3GUREjek6sNqeMkb0t6NchPzikEnPbYxb+i5cHjufd3iOQNnW7q9nHyeGu5nR1y9Znpm1dcojIBmPxblU9MeuBsh2/670mlhBMKNsZDRS1eGRWaSJHMotEvxAicraIvCIirxB80Lw/fFgv70kCwX0VgaTR/gPi7ENVT1TVvqpadrkxVFJcM+5Qvrng7/RubSm2OZ5uYNTGJr605Flu3PFTxTalYNq/b+Er70E4sSzRscH6RWBC+OC/liBXxH0d6rGDuDTi7xI1rj2ZxSeAs5J0rqpXqupUVZ0K3AOcFHpPTAfWqur7mfYTkaHtlaPDGnmfAuZoMOV8gu23CicD9yaxpRx5ZdB4Zg0czzfnP1RsUzxdjGia/5pzN3/Z8eO833twsc0pLp3rvnYr8Cywi4gsEZHTQmnzHIIKzLOB21X1zU7+FHnhkiYyJrMAmkSkkBnmgwTVn+cBGwmeRmZjJDAj1IlTBCfqgbDte8BtIvJjAteS6wqwpWy4avznuPal37LX0HnMGuzTQFcqRy59nh7axl1jDop5yVQTeUbWDRCRa4D7VTVjNQxVPS7L+gcJxqSSwDUQd0oyC2N/JSiwl2Tb14C9srQtIHA/yR/Tz8rUJvNx14mlpDSWbe3PuqIi3br6gW166YaaOq6Y+EW+M/tuvrHvuWzqURcJRbb7UUszNt2v4sVFsmvGKUsTjlWoNjpL11jbmgeyNeG4HxwF4dCE7XZXZY3c6TQd7mu2ZmyGSzvTYEbbRm1YxckLHuPcaWcEWrzrenPotzHdPJYy09Fvoe5rtu9iJxDTqLOzVlXP6HQDioBLmng+LBEdId9kFp6O82LDRGYN8hJFJSKa5jtz7ubWHT/Okj55z28qj+7RiEsO14y4U5JZeDqHq3b+HNe++FumrZ7HzKETi22Op5P44pLnqNE0d40+sNimlAxllvSnU8g6I1bVFap6IPAjAkfm94BLVfUAVc3kRubpQjb06MXluxzF9+bcydDNa4ptjqcTmLR2MSe9+zi/mHQ0aSk0xLAC8TPiOGECi7yTWJQ8Lr3MlerSoZfFyijZ+plszwFp68cxv2IzlWT4/0sDxnP3qAP50Wu38B97nU5LTW3swY5tuhmqbKd8jGnGZvXlGrcfsan1uvyu7UrRdvbPgmNVcknsDk02aUkjsMKWrTb7fBLxT7b7ifoYN7Ss49LXb+GXk45iSV1DRM+N2O7yG7aOaeu1znJI+YQtd3OpJD8j9pQ8fx39ERb1Gcp35tzd5V8IT9dQ27aVH71+C/eOms4zQ6qgIGi+JJ8RDxCRa0TkiOIY2nn4gbjcEOHyXb7EqE2rOW7RP4ttjSdfVPnPt//Gst6D+MuOHy+2NaWHkk8V57WqekY217VyIlH2tYqhwAod5u2g2vdNroxqsRDn7beOmor+Bsaq80Z3jCxulR78YMrx/H7W1bzXdzjPOmZV5lFiGdWsW+uIpGDfjTqyqMXkB7Mti1ve9nbb4mRkq2qRqd1dUTl7G7ilCVvbibjFZZEmvrroKXbcsIL/2PP08NgZwpjT2fuJX5umHyHObZ2hyb5CR1HxM+IyZVXdAC6ZcjzfmXMXE5qXFtscTwIOWvkWRy/+NxdPOSHQ9z2ZUU32qiD8QFzGzOk/hl/t8iV++toMxq5fXmxzPA72a3qb89/+GxftcRIrew0stjkljWiyVyXhB+Iy5+mhu/KHnQ/n56/ewJgNK4ptjicD01bP44LZd/A/u5/I3PrGYptT2viAjsrHDNOVbOHOAG3Zwzaz17QALK005s5m6paW9qeWwCfGb6Sts9o2PDFkD2pbW7n8lev4ztRTsxabjHvlxStJGweNtlnubGa7030t5q7WRbmVYykfjffO8OfsmrDdnltPjmu7e6+ey0Vv/ZUfTj6e2f3GBKktc4QtR64N2yXNoRk73dWsvsS+xs3j2G2OfmKpXzuBbshHXHL4GXGF8PCIaVw77lB++cr17LQ+Y1I7TzczfdUcLnzrdn6w2wnVW22jAPLwmqgY97WqmhFXOv8YPpUtPXrw81eu5we7fY03B+5YbJOqloM/eJWz5z7ARbufxJwBY9xeMZ7tKPk8iKuYpD9+IK4w/jlsdzbW1HHpG7dw7fjP8tDofYttUlUhmubU+Y/yqeWv8N2pp7Kg38him1R2VNqDuCRU10Cczec31y9w0tBQh7YMlu7r0IQhqgvbep4a22ZSXGcOnMB5e57Oj968hfHr3+eq8Z8jnaqJP+Cww6rNdJYx39bocsSv2Jaaa4z3MU3Y7VecmBx/MlMvtXVfl0Yc/9wO32DrnPTdsonvz76D+q2bOHvqWayp7bdtn2hJI1sTzq7JxmbSLs3YDql3ab2dVcU5ecrK5FThQOw14gplcZ+hnDP1TMZsXMVlr82gfuvGYptU0Yza2MTvXr6a1bX9+K+pp7Kmtl+xTSpL2gM6vPuap2JY37M3F+5+Egv6jeDKl65ix/U+aV5XsNfq+fzupau5t3E6V0z8Iq2p6rrR7FQ08CpJ8qokquuKUdPtxnC/arPuXWtqossJKz47w5/tfa3w59hPvOkKhY3xOazf0pgQIMIfxx7Ku72H8ZuXruGmsYdwb+P+qKTiGdXMu9Maux+74+wHNW/Zc4Ywd4M0EdvW5b5m/8myZEUDqN26hVPee4xPfzCLn0w+hlf67xRuHw9bJiJxWPKCfZ2YckPMdcz+LA6ZIJ8wZleb9f2IuKxpF/iaVdYYmwg/I64SHhk+jXOnfZODV7zG5a9cx8hNTcU2qayZtHYxf3zpSkZu/pAz9vkWrwwaX2yTKoY8pAnvvuYpP5b0GcJ5e53Ol5Y8y+9fvpqbxx7CPaOnoz4peWJ6tm3llHcf47PLX+Z3O3+ep4btXmyTKgslnweA3uZPoCcAABZvSURBVH3NU56kJcVdYw7i+YZd+M7bd/GxlW/wi0lHs6xPQ7FNK3kmr13Ed2ffxXt9h/ON/c5lbY9Cipl7clKF0kR1DcRZ9DQ7xaPEKmskq/gcdzPLTlxytbXeZDqwWBqdWhWVzbBr054ldQ2ct8fpHLX0Ga6ceRWPDduTW8YdvP1pv62VxtJXGhs4qnDE96NLiKfF1OxtaUdbBve1URubOPXdR9ljzbv8Yfzh/HNoOAuOubNl15PFpfvG+kkna4Ooi1rMta1A9zWrn1gYc6EpMxNSaR4RSaiugdgTIS0p7hz9Ef4xbConLHqSG56/gntGH8DtYz7KxtpexTav6AxuWcdJCx7nEytf587RB3H5hC+x2aev7HIqzSMiCV4c9LCmth9X7vx5ztrnbEZu+pCbn7+coxf9m57p1mKbVhT6tm7mtPkPc/1zv6alpicn738+fx57sB+EuwPN41VBVNeMOOKGZt7S2dpEgdFzKbuMhTsqKnJIazkaPWffYppFPq2Mb67f1lhkXXTxg54D+dnEo9lpw3JOe+9RvrLoX9w3an8eGrkPa+qiAQoRtcal5OTIHGfLGonJMWuKHDbmRZjZtW3EptV8YenzHLr8JZ5tmMSZ+5zDip4Dgn1a006Jw+7XFRGXq+pGtJBojmg5sz2P7Gt5Rd3F3OLS2ds6SBDQUWGjbAKqayD2JGJB3xFctMdJTFy3hC8se54ZL/yK5xomcW/jdN7qP6brUlkWgZSm2bfpHY5c+jyTmxfz8PBpfGuvM7c/vPTJerqfKkyD6QdiT1be6T+aX/YfzR+3HsZnls/igtl3sKmmlvsap/P48D3Y1KOu2CYWzMAt6zn0/Zc4YukLrO3Zh3sbp3PJbsez1UfFFR0/I+5CRGQScAMwDbhIVX9ptB0LfBe4SVV/Ha7bG7gR6A08CHxbVVVEBgN/BcYC7wHHqOqHInIKMFZVL+mmj1Q1NPfsw507fIS7xhzI3h/O5wtLn+PMeQ/yxoAdeXbIJJ4ZOrn0y/+oMmbjSg5aNZsDV85m3IYPeHrIFC7d9Tje7j9622bVOAiUFBWo/yahO3/+VwPnAl/M0HYssC/wZxHpp6rrgauAM4DnCAbiQ4GHgAuAx1T1MhG5IFz+XiILTG3LjNq0w3ktH6tICLQr/DmWUc3qt8ZRJtkOezX3s8VcI2taLGubbYP5WWw91vYli4i7WG3Bipf6j+el/uPp09bCPh/O44Cm2Xx9wT9Y0WsAzzRM5tkhk5hXP4p0GCQSEzHsFZ1165+hm5p0G7uuXchBq2ZzQNMcatOtPNswiVvGHMyrA8cFs19VpNXQb52ubm7t1BVC7MySFqv8kUe1DIf7ZPw4ycKYY+5q9kMA8zidHuKcVx6JASJyDXC/qt7fyYZ0K902EKvqCmCFiByeobn966mAiMhIoL+qPkuw4iaCAfwh4EjgE+H2M4AnCQbiTcD6rrLfE2Vjj148NXQ3nhq6Gyna2HXdYg5oms2Fb91Ow5Zm5vcbyTv1jbxTP4p36htZ0mfItsG5K+iRbmXshhVMbF667bXjhhUs6juMZxsm8aMpxzKv38jgx6YKNciywieGLxp3AzOBW1S1WUR2AZYY7UuA9qqLw1X1fQBVfV9EhoXv/9qdBnu2k07V8PrAsbw+cCzXjD+Mvq2bmdC8lInNyzigaQ6nvPsYA7euZ16/kSzvPZim2nqa6urD//uzOlzOWmJelT5tLTS0NDN4SzMNLeto2NJMQ0szDVvW0bixiR03rGB570Hh4N/Io8P3Yn79SDbX1Hq5oZzQeJ7naqAkBmJVnUEwu20n02N5/20qE9b37M2swTsza/DO29b127qJCeuXMaxlDYNbmmnc1MTua94zBtRmeqTbaJMUrZJCRUipUqNpemobm2pqIwP46rr+NNXWM69+JO83DmZ+v5Hez7dSqMIfzi4diEXkbOD0cPFzqros4a5LgNHG8migfd8PRGRkOBseCWStIS8iNwNHbVthak8pR65GO+2foQvH/DojuP2RTQ0vdqk5XMJiLaYfsUsTBtTwbY5rnNnDoZ36cdBZ9n4yxKhukDpeqR8H/R2fU9P00DQ1mialadokte2VMzGRpfU6zXGkyHTpwPFqHva2Rj/2deLyMXY9L3D0E/Tl8COOVYvO3m9EF7bTwro0Y1snF9lgLN6tqieSL9U3DndtZJ2qXqmqU8NX0kGYUHpoFpHpIiLAScC9YfN9wMnh+5ON9Zn6OVFV+6qqz85SBqik2JrqweaaWjb26EVLTS2tqR4+O1wZ0f59C1/5D8IEP2JJXpVEd7qvjSDQgfsDaRH5D2CKqq7LsstZbHdfeyh8AVwG3C4ipwGLgK90pd0ej6cbUaryYWp3ek0sJyo35Np+JrBbhvVNwCcLtGHb+8gDAfve1Z6AmZnacrioOTHc12KZ2mqsg7p+8Q0JIV50NLqpqHGbqbm2zS43iCVNRPa13eJckXddlVrL0a1TbnDJFvay7WbmCiF2betyK7PbXVKE3Z7Tfc2QxvJxbYvZZ3wfOlnPFbQqH66WxMM6j8fj2YYfiD0ej6fI+IHY4/F4iojXiKsAUyOLuHXZepktEmePhzY147z0YktXjYcCZ66sEaxwuIA5SmLYuqDY1TzMbe1DpCyt0lzIoSdnOUSn4pSec6WHNHFpu7kqayStgJEjbNntkubQdh2aMFh//5ju25a9za4C49K7O4E8PCJ8iLPH4/F0PupDnD0ej6eoKF4j9ng8nqLjNeIKxw7dDIllfLQyXUY0YzsjidGWn49xzFnZanb4HEdCkW0faDtlpuFznKOkshrtsWC2WBhzNFFntn5suixIzvHldfql5iwv5OjH6XOch2+wK3Q6H59jlyZs7xt7LpK9TV3+yVm+Ux3B+xF7PB5PsfEDscfj8RQRVXeB3gqlqgbiSIiz4/bPKVXYd2JmWzpHtQynca6wYMs9zNzWDj129WtLBrYLXbT8st2R1a1Z+cMyN9pptLG7vmMJXdRy3gbnVd3YVaEjj2rLebi6JQ5bDjZw9Gv0kytU2rChs0Oc7f6rhaoaiD0eTxngB2KPx+MpIkp8Jl8F+IHY4/GUEBr36KgCqmsgjqSz3C72Sqwyc3bNOObaZmrGKfuX3BEObd9+2TaYOp1L27X1Y8sCdWybjy7t1JPt743Dtc3G5ermIi8Xp3zc13JV4XC1RdKsJndfy0drjlWPcbrMWQ80krqo5agKom2OcOiOoviHdR6Px1N0vEbs8Xg8RcYPxBVOpOihI1rOjk4zXYSsLsXhvhbzdTOzm1lShNgRShH3MKtfl0uabV8e8kOnyRgmdvUOe1dnawdw3TJ3ltyQTz/5uK85ZIyYu5h53eSUPBK6qOWT8a3T9dy8kv5UDL4qo8fjKR2UYOBP8grTYIrIEUW2usNU14zY4/GUPj4Npsfj8RQTH+Jc8ahZvTdl6mXR7WK6panR5uPaZmvG5qLthmSnJTOzpuVydTNxXcQ5qi27Qqdt1KX9ulzbXNvmQye5r8V0X9e+ObXdhJpxR1zSbE02j20Tu6jZ17grHLoL3NfU+xF7PB5PkfGRdR6Px1NkqtBrwg/EHo+ndFDtkoKkpU51DcQRbcuogJGyNTF7P0NbdoRDx3yM7dLCEQ3W0oQd+rLaaSZNTTEWiuzwSLR9gfMInbbJxz+56OTj7+tqz+VH7Ey9mYdvsMtP16HX2vbF+3XY4ApbtrXmLvUjxs+IPR6Pp7ho9EehSvADscfjKR18GszSQkR6AU8BdQR23qmqPxCRccBtwGDgZeBEVd0iIpcA76nqjVk7jdzyZJYpIC5VRAuERn+tYwU5zcNZMkEkkto+hj0JMDO5xYp8Gv3aWdHs2zpn+LEjdNqm0DDmYskUTpmgk8KfXVqmS37oRJe0SEbBXPYZM8185JCYi5pmlzg6hSp0XyvlEOcW4BBV3ROYChwqItOBnwFXqOoE4EPgtCLa6PF4OhElGPiTvCqJkh2INWB9uNgzfClwCHBnuH4G8MXw/XpgU7ca6fF4OhcNE8MneVUQJStNAIhIDfASsDNwJTAfWKOqreEmS4BGAFX9Za7+JkwbZ3ZuvLfdEhzeBbYUYMbh1dj9WNKEo+Cm0waXPXZ0nGtbm5ik4KUJ9612gZF0WFJAPsVDY222NJHlGJm2bTM9fFzSRC77MksT/3iJTqEaH9ZJl1Rh7WREZCDwN+Bi4AZV3TlcPwZ4UFV3z7LfzcBR4WKf7rDV46lyNhrv71bVE/PZWUT+DgxJuPkqVT00n/5LlZKeEbejqmtE5ElgOjBQRHqEs+LRwDLHficCJwKIyAZV7dsd9ibB2+Om1OyB0rOpEu2plIE1X0pWIxaRoeFMGBHpDXwKmA08AXw53Oxk4N7iWOjxeDydQynPiEcCM0KdOAXcrqoPiMhbwG0i8mNgFnBdMY30eDyejlKyA7GqvgbslWH9AmC/Arq8u8NGdS7eHjelZg+Unk3engqhLB7WeTweTyVTshqxCxG5XkRWiMgbxrpRIvK4iNwrIv3CdWeKyOsi8oqIPC0iU4ztvy8i80TkbRH5rLH+vU629dDwGPNE5IJw3TgReV5E5orIX0WkNlx/iYic0oXH3VVEnhWRGSKBv5yI/EhEXgvP0SMiMipcLyLy23D/10RkWrh+bPjgtFPo6vMjIr1E5AUReVVE3hSRH4brbxSRd8PP/YqITA3XDxKRv4Wf+QUR2c3o61gReVlE/sNY93ej76tDKQ0RGSwij4af4VERGRSuPyWMAi2Jc1TA+RkgIvcb23/d6Ou88Px81dV3Z9pfMahq2b2AjwHTgDeMdZcBuwJHAGeG6/ob7V8A/h6+nwK8ShA+PY7AP7kmbHuvE+2sCfveCagNjzkFuB04NtzmauCs8P0lwCldeNzrgKHAt4BDM5yjc4Grw/efAx4icC6eDjwfrh8LPFku5ye0v1/4vifwfPh5bgS+nGH7XwA/CN9PAh4z2u4Jbb7N6LO/cZy7DLt/DlwQvr8A+Fn4/hTgklI5RwWcnwuNzzIUWB3a1Q/4C4Hcea+r73C5S78D5fYqyxmxqj5FcAGY1BC4t6cJIxNUdZ3R3pftHvlHArepaouqvgvMY7vuvLITTd0PmKeqC1R1C8EX+Ei6Pjow23FrCNOqkOwc3aQBzxG4DY4kyIphn/vOtrPTzk9of6YIzWxMAR4L950DjBWR4WFbe3SKEj9/PQgGJPP8zcjwGTaFnyMpXXqOCjg/CtSLiBAMvquBVqLnxtl3uK+PkDUoy4E4C78H/gicCdzSvlJEzhaR+QQzlHPD1Y3AYmNfM0Jv3060KdtxskYHqupfu/C4vwH+DzgAeKS9UUR+IiKLgRMIgmay9qGqi1X1KDqHbjk/IlIjIq8AK4BHVf9/e+caK1V1xfHfn9hCSbWlFEmJWGJLpTUWsDxE+yClarFpU4JVoyLgKzHUGhJTNTStfGhKmjbUipWmptYPUqm1bagflLSI9a2AhSsEkfBoSG58JNaSGqDg8sNah3u4nbkzc5m5wx3XL5nMmXP2WXuflZk1Z6999n/b83Hox5GCWC5paOzbTEwCkjQN+CT+vDr4YNQGYIOZ7S/Zfyxs76cnuIw2s+5odzdwamyvtjpmgZZouY8a9M8K4LP48/tdwM1m9m74owv3z+oatkc2s/2dQMcEYjPba2ZfNrNvln8kZna3mX0KuBX4QeyuNO+2FaOWleqptPJns+uueH1m9pKZTTezq8x65O/NbImZjQUeAL7bl40BaGfT/WNmR8xsEh5Qp0Xe93Y89TAVV/K7NYovA0ZE8LgJf0TycNi538wmm9nPe9m/CH/ccih+p9dMWu6jBv1zEfBPYAwuxrVC0ilh5yfhn1U1bA/U72/Q0DGBuA4epKf7sw8YWzrW5wy946BSPf8iZge2sO7+Xt8qYO5x2miEAfWPmf0bWI/nx7uj63wQuI9ITZnZf8xsYQSPq/E86O46bB8A1uBpA4DXIpVDvL/ez2YPmI/q8Q+wEJ+6bGa2E/fNhEZsA2+2ov2DmY4OxJLGlz5+A3g1ttcAl0saKtc3Hg+80IImvAiMjxHiDwKXR92tnh1Yrd7/o5ePvgVsj+01wNVyzgXeLrraA9DOpvlHlWdobi8FSeF/0C/H548WI/jAdcA/euXRy7Y/XLJzEj7AWfbf/CZcQ0t91Kh/8D+BWXFsNHAmsKsR22ZmzWp/x9DfUb52voDfA93A//A7hmurlLsT2Ip3pR4HziodW4KPRr8CzG5hWy8GdkRdS2LfGXjg3wk8BAwdiHqrlHsY/5FtAf6K54HBu4+F4l0XMGUw+gf4PJ5e2BLX+cPYvy6u62V8TKEY3Z+B/2Fvx3PCI/qwPRoPlFvie3YXcFIcG4kP+r0a7x87EX3UD/+MwccXimNXNWp7oH4Dg+mVEzqSJEnaTEenJpIkSQYDGYiTJEnaTAbiJEmSNpOBOEmSpM1kIE6SJGkzGYiTJEnaTAbi9wGSRktaJWmXpI1yKcw5Nc4Zp5LMaIP1LVDIacbne1WSIK1x7kxJj/Sn3nqR9Ey8j5N0RT/OXyBpRfNblrxfyUDc4cTMqL/gM8TOMLMv4LOzTuv7zONiAf7gPwBmdp2ZbWthfQ1hZufF5jig4UCcJM0mA3Hn81XgkJmtLHaYCyTdBUfvCp8MQe9Nks7rbaCvMpK+Lxff3yxpmaRLgCnAA3JB8Q9JWi9pSpT/etjYLOnv9V6EpFmSXoq6fluogUnaI2lp2OySNCH2j5ILsm+S9GtJeyV9PI4V0ozLgC9FOxf3vtOV9IikmbG9UNIOSU8A55fKjJL0sKQX43X0WJLUSwbizucsYFMfx18HLjCzc4DLgF/WW0bSbFyHYLqZTQR+amZ/xKUQrzSzSWZ2VFtW0ijgN8DcKP+dei5A0jBcqPwyMzsb1/69sVTkzWjbPcAtse9HwLrY/2fg9AqmbwOejHYu76P+TwBL8QB8Aa5ZXHAnsNxcPnUucG8915QkZU7YxUOT1iDpbuCL+F3yVFyse4V8KZwjwGcqnFatzNeA+8zsHQAzqyUYfy6eItldZ/mCM4HdZrYjPt8PLAJ+EZ+LRSs3ElrCcY1zop5HJb1VZ12VmI6vSvIGgKTVHOuDz3kGCIBTJJ1sJSnWJKlFBuLOZys90paY2aLoom+IXYuB14CJeA/pQAUb1cqIxnRkGy1fPq8vDsb7EXq+07XOqcRhju0lDittV2v3EGBG+c4/SRolUxOdzzpgmKRyV354afsjQLeZvQvMo7LoeLUya4FrJA0HXzAz9u8HTq5g51ngK3Lp0XL5WhRLFn06Ps8DnqhxzlPApVHPhcCICmV6t3MPMEnSEElj6dHgfR6YKWmkpA9wbEplLT1i+kSvIUkaIgNxh2Mur/dtPADulvQC3rUvVlz4FTBf0nN4d/u/FcxULGNmj+LauBvkK1oU+dnfASuLwbpSW94AbgD+JGkzpSV1ejFL0r7iBUzGBckfktSFr7m3ssq5BUuBCyVtAmbjsqm90wVbgMMxcLgYeBoXOu8Cfkbk1s11mO/A/0j+xrE59+8BU+RLCm3Dl+pKkoZIGcykI4mnKo6Y2WFJM4B7zFfdSJITjswRJ53K6cAfJA0BDgHXt7k9SVKVvCNOkiRpM5kjTpIkaTMZiJMkSdpMBuIkSZI2k4E4SZKkzWQgTpIkaTPvASvW0tnqgZBiAAAAAElFTkSuQmCC\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 }