{ "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/v0.8?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": {}, "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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fAx7L07wOo6RHxJmcrkVkjIhME5HZInKPiFSH268QkTOLarDH42kTqrRrQEdXoWRHxIbT9ecIxPVXReQRgnDDa1X1bhG5ATgbuD5hndtXUlk+BztG15P6Crs0YatepyZs1+WsJ4eWG7GPHPtmvyYx3ddcdenHNh2UFtM9C4d9bU3f4GiRU0926ccQcbgVSWfdV+w/hEvntacpsu6FiM+xfZ84cPoYx66XvbPxfWj3WZPyCtYoG0r5Z2Wb07WqbgFana4PBVrjvacCx4af1wObOt1Kj8fTbih+RFxqZHS6BtaEYnvrtnoAVb26c83zeDwdgU8MX1pkej7JpOIn99/JFqqcYyJPcbqSOcKWXS5qeczQEXMRcrmkucKWY255ruxrOeQGR6a2jO5rqgzc0sjQpjXUbWmkrmkddU2NDNzSuO3/Hi1b6KZpqjRNStO0SGrbsrFbD1ZX17KqppbV1bU01NTSUNOXhupalvccyLpuveJtGm1HMF3LYuHP9vUzylPZZQtwu3WJEQ4dz4pmubrhQLO7uok9m4f993aFQ5uzi9gT2bbY03mY93H7ahOK5JMYPmeIc1ehlDviTE7XC4H+ItItHBU7HbFF5A7guA610hNHlUFb1jG+cSnjGpewy7oljF+/hJSmWd5jYNCZ1tTSUF3Le/12oKE6WN9UVUOLpGiWFCpCSpUqTdMt3ULvls0MbGrc1onvsm4JA7fMYlBTI8M3NdDYvRcf1I7gg9p6ZtfW80FtPeu6OzpnT4cgIhuM1QdV9bR8jldga/JcE4WGOJccpdwRZ3O6ngycQKAZnwE8nK2C8CY4DUDsNy2edmXAlvVMaZjFlIZZTFq3CFENO8URPDZiX35dewwravplGKW1HdE09RtXM75xCeMbl3DKgufYuXEpjd178U6/HXmpbgLTB45jQ7ce7d62J4qq9m5bDeInDy0lVLVZRFqdrquAW1T1XRH5PnC3iPwEmAHcXEw7KxZVRm9cwUENMzlw9SxGbVzJ9AHjeH7wbvx+3NFBp9tRHhK2KZJica9BLO41iGeG7gmEnfOm1ez18Vw+v/x1/vP9vzKr70herJvISwMn8FGPAZ1imyc/lE6JrCs5SrYjhsxO12Hquv0LqjDbTBtWiHNs1gHnjM+OcON8ZlS29o1ojC7d1y5zaMbxkGaHDlyVWT8etmk1X1z6Kp9Z8RYplBcHTeTmsZ/nrf6jaU6Ft5MpwebqiwsdITtmqgAQrWJR7WAW1Q7mb6Om0KO5iX1Xz+GgVTP52oJnWV1Ty9ND9+TxYfuwtrqPYbCd6tL47NKPIaIhS4ut5RqzWuRwX1OjPHZ1bB3Y4RIZv7IOFzXjHhdLE9bYzOWmPbFG2owfEXs8GUhpmn1Xz+FLS15m0rpFPDFsMpfv/jXm9RkGIu7cEiXC5m41vDBkV14YsitV6RYmrV3IF5ZO5/Zpv+Kluok8XH8AM/uOyl2Rp0NRFT8i9nhM+m7ZwJHLX+OLS1+hsXsvHq6fwpW7nkxTVXWHJe/pDNKS4p3+o3mn/2j6btnI4cte49KZ97KxqgePjNifZ4buyeaq6mKbWZEEL+v8LM4eD323buTk+c9z5PLpvFg3kZ9MOolZ/cpztLiuey/u2+GT3D/qYPZZPYdjlrzM2fOf5N5Rn+Sv9QeyxX9FOhnJJ1jDu691SbL5EecKcXZNTeSYbTmfsOWYr7Cp7TrK4r7K2cOWY37E1rE1bOX4Rf/mhMX/5rkhu3PmlItZXdM33Dd6qDsNZvY22i3nt3We8QmVs6e6VEMqbS1Tqnh1yC68OngXdtiwgrPnPsnUV67l9tGH8vdhk0mnqmJTI8WeClwzSRu6rz01UmzKJaMiJZfua7afXT8GMky7ZNpgXhT3u4RIWkzbt7qNBC/rEt8k3n3NUz5UpVs4avmrnLrwOd7qP5oLJ5/H4j6Di21W0VjYewg/3ONrTFy7kHPm/J0TF/2Lm8d8nhcGTuo0T5BKxkfWeSqO/Ve/z4VzHmVpz4FctsfpzK6tL7ZJJcPMfjvwn3t9g31Xz+aceU9y8sJ/8uudj/HXqAPJM7KubKisjjhLCG/MXc0VfuyaJdklW4A7bDkmKWR3X4vIDbE2k7mk9d66if839zH2XDOfa3c5lul146x63ZJCROaIhT+bx+X4UhX6nbPlBrtaY0MsS1oke5g9E7NdUYpXh+zC9MHj+PzSGfzsnak8Wr8/d4w+hBYr4j5yaEySMV3bohJCPBOa6b6WzlqW6dis9tjtumQ0OzzbDqs2izug08xj8tCyofLO2MP+De/zp+m/Y3NVd87e/yKm140rtkklj0qKJ4dP5pz9v8XY9cu4/tU/MK5xSbHNKjtUYWs6lWgpJyprRFzhmKPgn084nhl1OxfbpC7H6pq+/Pfup3HYR2/ws7em8uiI/bhzx0O2B7N42kQgTZRXJ5uEyjvjCmW3tR/yp+m/oynVjXP2/RZvDBhbbJO6LiL8Y9jenLvvhYxdv5zrX/sDIzeuKrZVZUNLmG8i11JOVNbPuOGyFtGF7bR/Lvcd16wWudx+HKkj4yHP2d3Oouk0HfYQaL1HLX2Vs+Y9yVWTvsIrg3Yx9iW2b7Z6Yu5rDo3Y9MfvLI04Vq05I4YdhhvJHWkV2R5q5mla9azq1Z/L9jydo5e8wrUzbuKqSV9h+sBQ5om5pJnN2398h2bsmF0kVm7/zTT7vSGxeh1x6XZaWCMEOhb+3EbydF/zfsSe0qcq3cL5cx9jn4/n8O3J32RRBbukdRgi/G3kASzoPYTL37mLu3f4FA+MPKjYVnVh8pImysaP2EsTZUrfrRu56p3bGLFpNRdMPp/FvQYV26Sy5q0BY7hw8nkcsew1vjfrAbqnm3Mf5MlIOpy3LtdSTviOuAzZccNHXDfjemb3qeeyPU5nQ/eexTapIvio5wC+Nfmb9Gxp4pq3bmbAlsZim9TlCLwmqhIt5URlSRPZ9NxcoclJ983hRxzxzc1niiOHr7Ct5e6yfjE/eft2/rjzkTw1bHJU93X4IwfrjjLrvndqxGY9MR/jDhrJqO0PbOihsVmIjf3sqGBbT3aEa8dScbbApqoe/GiPUzhj7tP89o0b+c+9z47lPnb5DQe2GyHOdii3ta8zvaZNZCrpPO5xG8eUWm2lUgM6/Ii4jNh97Yf89O3b+eWE43lq2ORim1OxqKSYOuYwHhh1ENfOuIkRGxuKbVKXwksTni7LnmvmccV7f+Z/J53ItEETim2OB/jryIP4yw6f5to3bvLubQlp9ZpIspQTFSVNZJ2NOcdsGea+zjDmWFirS25wh1VHZQxXiLOw65oFXD7zLq7c9WRmDIoGaZj1pGNtRlej9WYvC9YTljnCnzOWJyQWimxVJC75Ie16RLflBslaZv99M41q/rbDFFqqqvjF27fwnb3PYVnPgbF9YlKF8XdySRGBScbfLHa7Zb/HYuHPGWzfRmx2aMMNNBY/3nZ8QIeny7HLusVc+c6d/O/EE32QRonyWP1+3LXjp7n6jZsZvHlNsc0paVSFZk0lWsqJ8jqbCmP4ptX89O3buWbCcUyvG19sczwOHqmfwkP1U/j5m7fSq3lzsc0pafKQJgaJyHRjObfYthdKRUkT5UTP5iaufPdO7tzxEF4cNLHY5ngScN8On2TEptVcNute/mfXr5Fu56i0csAnhq8EkrpOFRrGHCuLrqpLT3alurTNTimXfHAfM/uN4q87HOjUniO6sGVPuptLe7Ztd2nE9r6O43JoxomxQ5HtdUMHjmvE4iiz1iV7Wao52qj5Jj9bF/u7CUdz9es38/UF/+BPYw8PNto6q8MlzA5N1ohea/ne5RHG7Ax/dtEB7ojl9iIuCf4nuQty5vyn6bt1I78Z/yU/Y0QXoyVVxY92PZlDVrzFoR+9UWxzSo5WP+JK85rwHXEX49Mr3+bzy2dwxW6n+tSLXZS11X34n92/xoWzH2X8usXFNqfkqEQ/4sr9JucTHZR0ho5cM304H9kdckgoL+y0fhkXzf0b/7X32XzcozbYzyVFWG3GpIjYsQ77YlJF9jYjUoUj6i5TeWJiUoRdnl1+SLU4ZIuWqEFiaB4pq8xu0pQq7I4ictoKc/uO4JoJx3HlO3/m/H3+H2uq+5jFZF4hdq9G3Mesi6vWZKKS8D6OkSOrW3uiCs1llvQ9CZV3xl2UbulmLpl5P38ceyRza0cU2xxPO/DCkF15etiefPuDRzLM51S5eGnCU7KcuuA5VvTox5ND9y62KZ525NYxh7HDxpV8ZuXbxTalJPAasQMR2VFEDgs/9xSR2o41y2Oyc+NSjl76CteOP9a/nCsztlZ15xcTjuOC2f/HgC3ri21OSaAqiZZyIqdGLCLnAOcCA4GxwEjgBuCzhTQoIkcAvwGqgD+p6lUisivwJ+AD4OuqmhaRHwPHEEhxK4AzVXWpBELXb4AvABvD7a+LyGjgNlX9TNbGs7mP5ZN9zTXrRmzm4zzqyVJvt3Qz33v/AW7Y+UhW9ewX1OvQml0uai5N2C53ldnl8Zk+spfFQ5wla1kMMzLZfpR3aMZ2RjXzmqWsMrH84ExdOG01krIMNhVZ27Ut0nFYs2zM6r8DTwyfzEWzH+GK3U6xQvGj9sX0WcMVLxbibL8vSDqbR17fh/Z/qC63F3FJSHIVLwAOBtYBqOpsYEghjYlIFXAdcCQwCThZRCYB3wG+BEwHPh/u/ktV3UNV9wIeBS4Ptx8JjAuXc4HrC7Glq3DqwudYUdOfp4Z5SaKcuW3MZwOJYkVlSxSqXiPORpOqbmldEZFu5JwxLCv7A3NUdV5Y590Eo96qsM404bhIVdcZx/U22jwGuF0DXgb6i8hwoAVYXaBdJclO65dz9LJX+NUEL0mUO1uruvOLicdz4exH6bt1Q7HNKSJCSzqVaCknkpzNP0XkUqCniHwOuA/4W4Ht1QOLjPXF4bbfAP8HHAg82VooIj8VkUXAqWwfEWesQ1UXqepxBdpVkpwz/+/cseOhNNT0LbYpnk5gVt9RPD94V05d+M9im1JU8tCIKyrXxCXA2cDbwDeBxwj03ELINKxTVZ0BHJCh4DLgMhH5AXAh8MNsdWRsTOQO4Dhjw/bCpDMzxyuN7uvSml1pJmP1RPfdc908Rm5q4NH6/TLOzLy9zuxt2Ov56L5xn2P72MzH5bYvul6w3046ap8rVFlStu6btZp46kjj1oprwla9mv28I+5p9rsEo+j2nT7LrS9dywM7HBTM7OGaVhoi93FcN89+r8bP09gv5qucPFRaRMzh/IOqelrWhjK1TWXmmsj5NVDVtKrepKpfUdUTws+FShOLgVHG+khgaYLj/gIcn28dqnqaqvZW1d4F2Fo8VDln7hPcstPnfPRchfFxTS2P1E/hjPlPF9uUgmj9voVLXp1wUEHw25NkKSeydsQi8raIvJVtKbC9V4FxIjJGRKqBk4BHsrQ/zlj9EjAr/PwIcLoETAHWquqyAu0pST7R8B7dtIVnh+xebFM8ReDeHT7J/g3vM3rDR8U2pSj4EOcoXwz/vyD8/47w/1MJ3MbyRlWbReRC4AmCF3S3qOq7WXa/SkR2IXiBtwA4L9z+GIHr2pzQjq8XYku7TR4amY0iRz3mI50tf4SPq6l0C2ct+AfXjT+KdFXwzO/MzJYrFNkRtmxLClFXN7ss+b5q7OtybQPryTYv97Voke2iFpEmmrOHYKdsdzWryegXPrsUAaBV28tjIzZzX1tBsK7J+uqe3D3605w970ku3+1r1s6Oei2dJebOlnIVFvh9aGc0fFlXaWTtiFV1AYCIHKyqBxtFl4jIv4ErC2lQVR8j6Exz7Xd8lu3K9h+HsuPwj2bwcfc+vDrQJ3qvZB6qn8LxC//NpLULeK/fjsU2p1MpN9khCUl+enqLyCdaV0TkIAJ3Mk97o8qJC//F1DGf9e5qFc7Wqu78efQhnLjohWKb0un4yLrMnA3cIiL9wvU1wFkdZ1LlsveaeTSnqnir3+him+IpAZ4athffmPsEgzevYWWP/sU2p1MIXsSVVyebhJwdsaq+BuwpIn0BUdW1HW9WB1HgDB3ONJmucFSHq5t9r6kIX1o6jUfqDwhmXcjuIRQtyzmThkPLtbXniPtadF/bnS3d3Tgutq/Zvt2mba+thhPOAAAgAElEQVSxko9GHEtfaa0b5XYUrjRH1rI3QvRPancQtvOQutzXDP3Ytj2bXLu5ew1PD92To5ZN59adPhcWZndni8/abO0b0ZAds4L4GTo6nSS5Ji631gFQ1YI0Yk9mBm1ey14fz+PnE04otimeEuKR+gO4+o1buGP0IRXjyug14sxsMJYWglwPozvQporkqGWv8szQPdnUrabYpnhKiAW9h7Kw12A+sfK9YpvSKShCOp1KtJQioWvucSIyIZ/jkgR0XGMsPwU+QxBm7GknqtItHLX0VR6pjwUXejw8XH8Axyx5udhmdBqacCkFROQh4/MxwDPA0cDDInJm0noKedbpBexUwHGlhanX5jFVUk5fYQPnjMXGcVM+fp+lPev4sM/QjMc6dV/H7Mr2ul0WD002yhyaMER1YbssohHH9GNLVzVtyjUsMH2DYzMqW6G2pg7siDy3pzuydzbDhtO2PGtrvY5rjTP82d7V0JMF/j14EhfOfpRRG1ewuGawZYThu2zfmlYzrvu4TSHP7UnXe1ln+hZ+HzhUVeeLyCDgaeC2JJUk0YjfZvutUgUMBn6cl6keJ59YNZNnhu5RbDM8JUpLqooXBu/Kwatmck/94NwHdHVKZbibDNPabqo6H0BVV4nEZlLMSpIR8ReNz83AR6ranG1nT36ktIUDVr/PzTt/rtimeEqYFwdN5PQPn+ae+k8V25QOJ48R8SARmW6s36iqN3aASS72FJF1BA8gNSIyTFWXhykcqnIcu40kHfFP7OQdInJHQQk9ik0uCaIV54y2eRznms0jrGfXNYtY0aMfK3oOyH6sU+KIFrmkCudsy1izbjjCliEqR9jSREu18bgcky0sacI1m4eFc9YNa2ggW82V7H/PmEpgjWHMiZBTdpl1PcXQLmKP86au4fp7QuRv32rPGwN34vJ376J/8/rIjM8RlzT7frNTy5mDt3gst2FPHtJA0u9UQhRIx+zOStGzr6na35Rt9CLIVpmIJK8edzVXwsTw+yRtwOPmwIaZvFg3sdhmeEqcraluTB84jgMa3i+2KR2LEojdSZYSRET6ishAgr418R/LlX3tByLSCOwhIuvCpRH4CHi4zRZ7ADho1SxeGpSXp4unQvn3oIkc1DCz2GZ0OF0xDaaIfFNEPgLeAl4Ll+nuo7aTtSNW1Z+pai3B3HF9w6VWVetU9QdtttzDyI0r6dGyhdl9RhTbFE8X4JVB49nr43l0b9mae+euTFfyX9vOfwG7qupoVR0TLom9y7JqxCIyQVVnAfeJyGS7XFVfL8zeEsGV9s+1r4Vrhg7XLBwqwr4fz2Fa3S6xkGZ731iZawblPNzXXCHPrrBle93UhMHSj2usshpLaDU1Yzsk10JN7dBObdkUPbmUI32lKyVlzCXNnCXZ8l+z9WTntTbLrOvuCnk2b6F11b2Z32cYu61byOsDdw530Mw7E3dJi8zQgYXrO9CJaTChyyb0mUuB6YHB/bLuOwSzJF+ToUyBQwtt1BOwy7olvNl/TLHN8HQhZvYdxS6NS7Z3xOVI6Y12k/AD4EURmQY0tW5U1YuSHOzKR9w6Ed+RqrrZLBORHgUY6rEY37iE+0YdnHtHjyfkg9oRfLKcw53VevLpOvyRIKrubTLFCeUgifvai4AtTWTaVvokfaTKY/LQQunR3MTQzR/zYe8gmi4ehZc9Csqdxc1ad7jB5SVj2Otm9JztombIEeme0XtSekT9zqqqt6936275pFk0b93+TN+yJfp8H089sH2DWCeuLZk/Q37XxOU6qFaWNFuWylYG0VvMrmd2bT1nzXuKNuOYJDXuBpdPPe1Bl+yIm1X1O4Ue7NKIhxHklOgpInuz/er0JfCR87SBndcvY0HvobSkEvt8ezws7llHv60b6bt1I+u6l+nXsGtKE8+KyLnA34hKE6uTHOwaER8OnEkwS/KvjO2NwKV5m+mJML5xCe/X+txJnvxQSTG7dgTjGpfw2sBxuQ/oinTNjviU8H/To0xJmJfHpRFPBaaKyPGq+kDh9nkyMb5xqX9R5ymID2rrGd+4tDw74taAji6Gqrbpy5xkho4HROQoggi7HsZ2nxgerFmcrTKH7jtmw3IeHHVgVjks8b0Ycy3KXk9ujdP47MjMBtFQZTts2XRRszXhmt5bIuu1vba/B+7XI/JOOMbazdvfETdujL4vbqI6akMkHDp64mLc9bEZnvOYQSSmJztcDqN/pxxueo7odgTm9hnG/qs/CAoj7pPZdWmwZnHO+3VS51FqwRpJEJELgD+r6ppwfQBwsqr+IcnxOUOcReQG4KvAtwj+9F8hmvrNUwCDmtaxsqZf7h09HotVNf2oa2osthkdR1qSLaXFOa2dMICqfgyck/TgJLkmDlLV04GPVfVHwIHAqLzN9GyjKt1CbfMm1lb7ybA9+dNQU0vdlvLtiEWTLSVGSowIGhGpAusxzUES97VN4f8bRWQE0AB4cbMNDNi6njXd+5CWJL+DHk+Uhpq+DCzXEXFphi8n4Qng3lBBUOA84O9JD07SET8qIv2BXwKvh43cVIChpUsOX8jYrBxtpK5pHQ01tdGNTt/lHOsG7llB7H3ttJ3Z68knZNcMWzb9hCGqCQPs3H/Vts+Tapfh4r3G4ds+z2FQpMz0MQZo3rLdQJfu69R5wbomtuhqx0c76smyX8b1SPtWYYuyoaqGKk3To7kppo0XSsHhz+1O6WZWy8H3CSKRzye4hE8Cf0p6cJKXda2zcTwgIo8SvLDz6cLaQN2WRlZX1+be0ePJhAirqwN5Yml1XbGtaX+64IhYVdPADeGSN3k9G6tqk6quBe4rpDFPwMAtjayyR8QeTx6sqqkt3xd26YRLGVHI5KHQSTGIInIE8BuCKUf+pKpXicgY4G5gIIFUcpqqbhGRK4APVfW2zrCtLQzYas2yUCza8vjsCv01sqjZYcu2i5opR/z3oFkOg+AnxueVm6PXz3Zna05tv7Xj9hmf85EJSuiJ+ePqPgzYur7YZrQ/XdSPuK0U+raowx8ewreO1wFHApOAk0VkEvBz4FpVHQd8DJzd0ba0N93TLWxJFfob6PEEM3Z0S7tzc3RVupLXRDiBxt5trceVa+JvZO5wBegMYWp/YI6qzgvtuRs4hiD9Zms44VTgCuB6YD3bPTxKmipN0+I9JjxtoEVSVNkJkcuF5J1sKUweOh/4tojsCbwJPA48GfoRJ8Y1LLu6wLL2oh5YZKwvBg4A1hizSC8O90NVO8OmdsF3xJ62UtYdcXJKYfLQuwmkUsKR8RHAg+ET/T+Av6vqK7nqceWa+Gc72VoomYSiTKnKsv5+isgdwHHtZlE7UXkKmKe9UYRUCcYCi8gGY/XBQmZ7LxXZIV9UdQYwA/iZiPQFPgd8Ayi8Iy4BFhON4BsJLAT6i0i3cFQ8EliarYLwJjgNQKR0/rx+NONpK920heZU6T1VqWrbwkWVUgxfzhtVXQc8EC45Kb2/5HZeBcaJyBgRqQZOAh4BngVOCPc5gy44o7TviD1tpazlra45eWibKNm/ZDjivZAgdHAmcK+qvksQwfIdEZlD8NLw5uJZWRhbpaps33h7Oodu2kKzlOekAl3Ja6K9yClNiMhTwFes9G53q+rhHW2cqj4GPGZtm0fgUdFlWdu9FztsXllsM9yjCrvMXjfTTDpmPrZDj81UlhANW/4Jbsx97XrsdszHW9u+SDBArvNMWtbJ9NuygbXdyzRpVAld56SISHdV3WptG6Sqq7IdY5JkRDwoQ3q3IfmZ6TFZXV3LoHKNivJ0CoO2NMbzlZQLXUiaEJFDRGQxsFREnhSR0Ubxk0nrSdIRp0VkB6PhHSmZy9A1aaiuZWAZpzH0dDwDmxppKMN8JUlliRKSJn4BHK6qg4EbgadEZEpYlvitYxKvicuAF0Sk1Z3tUwRZhsqHHG5AYpRrOzifNdT0jecJSFs2VJmpvKwKHObGblDN8pnoeQU2GI/z9r7p7Otiy93GrBf2bMt2KLKZRc0OW7ZxzdBht2PaYNsnDlkldv3Mfe3r5bjWzo4iHznEvi8IZgCv0jQbuvWIX/sCiZ2bSWe7yXUtr4nq8N0Vqnq/iMwk8CO+hDwGrEmyr/1dRCYDUwh6+IuT6h6ezKyu7sOALY3BDd6pKQY95cC27H0ilOPDaQmNdpOwVUSGqepyAFV9V0Q+CzwKjE1aSVZpQkQmhP9PBnYg8NddAuwQbvMUyNZUdzZXVdN368Zim+LpgtQ1lbE+DF1KIwYuAYaaG1R1MfBp4KqklbhGxN8hkCCuyVCmBDkfPAXSUFPLoKZ1rPPTJXnypG7LuvLNZ11a+m8S9gLusTeG6YJ/mrQSV4hzqw58pKpGcheKSI8Mh1QmpoZoz/YQ0wK3b1jQawhj1n/EvD7DyYR5Mzrvy5huGZU6zHpiblwOHTimq1rrKUOD3Zb5o3W9afuFSFvXxJ5RwnQ7s3VfG3NfWxPWzdH1lGFDypqpOeXSjx16sut6gdWBOP72ucilL49Z/xEf9h4Sjgyz3yguvbuk6VodcT3woojMB+4C7itEuk3iNfFiwm2ePPigtp7xjUuKbYanCzK+cQkf1NYX24wOQ9LJllJAVS8mkG7/B9gDeEtEHheR00Uk8WOLSyMeJiL7AD1FZG8RmRwunwF6tdH+isd3xJ6CUC37jriroQH/VNXzCfLj/Bq4GPgoaR0ujfhw4EyCxDrXsN0nbh1waSEGe7Yzu3YEO69fhmgaLdecAZ52Z2jTGlqkioaavsU2pePoWtLENkRkd4KcOF8lmO0+cT/p0oinAlNF5HhVTZRBqORJqtPZvptmP9lOPpWN3XuxtntvRm5cxaLeQ2J6nhrtxHx6I/6q2TVhADHPxd7X5RvsKAMQQxeWrdGyVMTXOvojk7bqMWdbbs41a4npX2rrvk0pa93QgS37IrbnOk/HNYlrxkn/ZmqVxf74Wetpt9Gw6z7O4LtcUD2F0MVe1onIOILO92SghSA38edbJ7RISpKh2D4i0t9oeICI5EoL4EnAB7UjGN+YNYunxxNjXONSPqgdUWwzOpau5b72BMHM9l9V1d1V9af5dsKQrCM+MkOuiS/k25Anzge19UxoXFxsMzxdiAnrFpe/PtyFOmJV3UlVL1PVt0VkRxE5DEBEeubzsi5JiHOViNSoalNrA0BNYWaXEBG3nxx/1Ui5LQUY4c85HznNsGXl9QFjufS9e5GdFXVIDHY1pouVLS/nJTfYrlrG7MtiP/rbP9lmcSw60KjHvl4t0YrU8DqLzbZsN+lwr7Nd1Ew5omqL7b6W+TNEZYugHeNcXK5ttn35hIS73M6Mzz1atjBx3SKu7HfytnvLJXnYN07BYcw56m1PhNLxiMgHETmHIO5iIEFE3UjgBuCzSY5PMiK+E3haRM4WkbOApwgm7fS0kdl9RtCrpYmRG0sgJaan5Nln9Wxm9R3Jhm5l7MafJcFPCSf9aeUC4GACZwZUdTZ5ZKlMkmviFyLyNkHPLsCPVfWJwmz1RBDhxUETOXDVLBbWDs29v6eiOXjlTF6sm1hsMzqe0utkk9CkqlskfDoUkW7kcSaJ/KZU9XFV/S9V/U/fCbcvL9VN4KCGWcU2w1PipDTNlFWzeKluQrFN6Xi6kEZs8E8RuZQg7uJzwH3A35IenGSGjinA74CJQDXBTMobVLXrOTKabjmunyCna4+17nJti7nBGeuhK9aMfjtx2fp76Ne0PpJ3IjKlnaUfO1NbWm2K4fKVaomWacrSTlvMMqteSzt1/oIb9qqtq1p3XKSdXMMChwYb04gdOnBqa+b9IIP2bOrxdpst9rU2P9u6apbPmdYjbnDB50lrF7K6upaPagZYM4xoxuNiZTYuHTYfDTgfV7eElKDskIRLgLOBt4FvEsws9KekByd5Wfd7Aj+5+4B9gdOBnfM205ORranuzOg/lgMa3uep4T6pnSczB62cyUuDKmA0DKU42s2JqqaBm8Ilb5JKE3OAKlVtUdVbgUMKacyTmRfrJvLple8U2wxPqaLKJ1e+y4uDK0Mf7kq5JkTkGBG5wFifJiLzwuUrSetJMiLeGE5n/4aI/AJYBnT93I1m9FLafmR37Gs9tqnTtS1rNZGV5wdN4rx5jzF40xpW9ugfOzb2mCtmmWWrZI+eiz9aR9fNwLVU7PkwWq9ZVezX3HS9s6UJS0KIXOtcOfIj18Sq1+Fa5nJRS9lRgc2W3GDUa1+v/NzXst9vsXVLxth79VyaUt2Z1WdkxJ2utTzjcZlw3McuOSIus3TwkLVrjYi/R6AYtFID7EfQR95KoCTkJMmI+DQCXfhCYANBUovj87HU42ZzVQ1PD92Lo5e+UmxTPCXIsUte5pH6AzL4a5cnXcx9rVpVFxnrL6hqg6ouJI8Ba86OWFUXqOomVV2nqj9S1e+EUoWnHXmk/gC+sGw63dLNuXf2VAyDNq9lzzXz+cfQvYptSufRtbwmBpgrqnqhsTo4aSVZpYnQdzjr6arqHkkb8eRmYe8hLOg1hE+ufJdnh+5ZbHM8JcIXl77CM0P3ZFO3rh/MmojS6mSTME1EzlHVyEs6EfkmkPgR16URf7FQy0qWpNqWyw3NoR/HXIKs56eILhdzSVMeGXEAX17yEs8N2SMS8uzSmmPhsnabkdBaSz+29zUefeOPStk1Y3VopbbertZky5HLkI9G7Aj7tm1wuajZmnBMTzbd12x3tVibDh3Y3NcV0myUd0s3c9SyV/nunmdlDGkO1s17yr5v7Xpd7myOely0s14slJTskISLgYdE5BTg9XDbPgRa8bFJK3GlwVzQJvM8efPvQRO5YM6jjFm/nLn9yjzDlicnn1j5Hot6DWZB78qKuixWRywiOwGXAf1U9YRw2w4ELryrgA9UNTIhqKquAA4SkUOBXcPN/6eqz+TTdk6NWESmiMirIrJeRLaISIuIrMunEU8yWlJV/LX+QL624Nlim+IpMilN87UPn+X+kQcX25TOpx01YhG5RURWiMg71vYjROR9EZkjIpcAqOo8VT3bqmI8Qcd6FjApq8mqz6jq78Ilr04YknlN/J4g6fFsoCfwDYJIu7yQgN+GJ/6WiEw2yi4WkddF5Kvheg8ReUVE3hSRd0XkR8a+Y0Jfvdkick/oWoeIXCEiZ+ZrV6nx15EHstvaBYxf59NjVjKHLn+TTVXVlRHSbNO+L+tuA44wN4hIFXAdcCRB53qyiGTrZGcAJ4nIM0CHjZCS+BGjqnNEpEpVW4BbRaSQyUOPBMaFywHA9cABItKHwO9uf+ABgqmpm4BDVXW9iHQHXhCRx1X1ZeDnwLWqereI3EAQVnh93ta4tDXXekyHM7TcVLQsJp+ZOpz9/BVqiE10544dDuGcOU/wvb3OipRtO9Slq8Z0YPOzpYe22AdvL09bFceyYBonZ8+6ocY1iWnEdkWFzhKVz8waLfZ5m2XWcbH0mtuPjfsRZ9eB89OPo+vVzVs5a95T/HziCeF5mu8hHO8vcqW9zBYaba/n831ob/JzTRskItON9RtV9cZIdarPi8ho67j9gTmtCdxF5G7gGOC9DG18HfhhWM/9BL7B7U6Sr0EkoENELqawgI5jgNvDifZeBvqLyHC2dyXbLn+4z/pwtXu4qARvkw4F7g/LprJdEF8PbCrArpLj8aH7MHTzx0xe7b0EK5EvLn2FBb2G8Fb/McU2pTgkHxGvUtV9jeXGzBXGqAdM39/FQL2I1IWDu71F5Adh2d+Bi8LtH7bpvBwkGRGfRtBhX0jwhrDQgI6MJ6+q00NXuenAL1sLw8eH1wjyWlynqtNEZBCwRlWbzToAVPXqAmwqSVpSVdyy0+f4xrwn+H8DxpLbncBTLvRsbuLUBc/xvT2/XmxTikYnhC9n+kKpqjYA51kb3wFO6GiDkuQjbvWe2Az8yLVvDjKefNjGz4CfWe22AHuF8+X9VUR2I/P01FkfZETkDuA4o9LthQ6ZwBny7Hj8s2foiMQMY0kDKftxL7rvvwbuykkLnufTH73NP4dHXbYjj712tJXDfc2WItLWpYtO+mnLLNax5qnEpAnjmrhm9gA0op3gJvIns6+f1YxjRozoNbHKnDJG9rKgXof84JBKzH1PXPAvXu8/lvk9hyEt6nZXs9vJ4a7mdHXLVmemfV1yiMgGY/VBVT0ta0PZ2u94r4nFBAPKVkYCRZ08Mqs0kSOZRaJfCBG5QETeEJE3CE4075MP58t7jkBwX0UgabT+gDjrUNXTVLW3qna53BgqKW4ccwTfnPd3ejY3FdscTycwYmMDX178ErfteFixTSmY1u9buOTdCSeWJdrWWb8KjAtf/FcT5Ip4pE01thGXRvw9osa1JrP4DHB+kspV9TpV3UtV9wIeAk4PvSemAGtVdVmm40RkcOvM0eEceYcBszQYcj7L9keFM4CHk9jSFXljwFhm9B/LN+c+XmxTPB2MaJr/mvUgf9nx0yzrObDY5hSX9nVfuwt4CdhFRBaLyNmhtHkhwQzMM4F7VfXddj6LvHBJExmTWQANIlLICPMxgtmf5wAbCd5GZmM4MDXUiVMEF+rRsOz7wN0i8hMC15KbC7Cly3D92C9w02u/Ze/Bc5gx0KeBLleOWTKNbtrCA6MOjnnJVBJ5RtYl8Zo4OdOBqvoYQZ9UErg64nZJZmEcrwQT7CXZ9y1g7yxl8wjcT/LH9LMytcl83HViKSmNdVv7s+6oSLWuemCbXrqhqoZrxx/Ld2c+yDf2u4hN3Woioch2PWppxqb7VXxykeyaccrShGMzVBuVpausfc2GbE047gdHQTg0YbvcNbNG7nSaDvc1WzM2w6WdaTCjZSM2rOKMeU9z0eRzAy3edb859NuYbh5Lmemot1D3Ndt3sR2IadTZWaWq+7a7AUXAJU1MC6eIjpBvMgtP23m1bjwzBniJohwRTfPdWQ9y146fZnGvvMc35UfnaMQlh2tE3C7JLDztw/U7f4GbXv0tk1fPYfrg8cU2x9NOHLv4Zao0zQMjDyq2KSVDF0v60y5kHRGr6gpVPQj4MYEj84fAlap6oKpmciPzdCAbuvXgml2O4/uz7mfw5jXFNsfTDkxYu4jT5z/DLyccT1oKDTEsQ/yIOE6YwCLvJBYlj0svc6W6dOhlsWmUbP1MtueAtPXjmF+xmUoy/P+1fmN5cMRB/PitO/mPvc+hqao69mLHNt0MVbZTPsY0Y3P25Sq3H7Gp9br8ru2Zou3snwXHquSS2B2abNIpjcAKW7bK7OtJxD/ZrifqY1zXtI4r376Tqyccx+KauoieG7Hd5TdstWnrtc7pkPIJW+7kqZL8iNhT8twz8hMs7DWY7856sMO/EJ6OobplKz9++04eHjGFFwdVwISg+ZJ8RDxIRKYby7nFMbjt+I64qyHCNbt8mRGbVnPywn8W2xpPvqjyn+//laU9B/CXHT9dbGtKDyWfWZwLzTVRciTKvlY2FDhDh/k4qPZzkyujWizEefujo6aiv4Gx2XmjB0ZWt0o3fjjpFH4/4wY+7D2UlxyjKrOVWEY169E6IinYT6OOLGox+cEsy+KWt73ctjgZ2Wa1yFTunlE5exm4pQlb24m4xWWRJr668Hl23LCC/9jznLDtDGHM6ez1xO9N048Q577O0GQ/Q0dR8SPiLsqqmn5cMekUvjvrAcY1Lim2OZ4EHLzyPY5f9G8un3RqoO97MqOabCkjfEfchZnVdxS/2uXL/OytqYxev7zY5ngc7N/wPt95/69ctsfprOzRv9jmlDSiyZZywnfEXZwXBu/KH3Y+il+8eSujNqwotjmeDExePYdLZt7H/+x+GrNr64ttTmnjAzrKHzNMV7KFOwO0ZA/bzD6nBWBppTF3NlO3tLQ/tQQ+MX4jbZ3VtuHZQXtQ3dzMNW/czHf3OivrZJNxr7z4TNJGo9Eyy53NLHe6r8Xc1Toot3Is5aPx2Rn+nF0Ttstz68lxbXef1bO57L17+NHEU5jZZ1SQ2jJH2HLk3rBd0hyasdNdzapL7HvcbMcuc9QTS/3aDnRCPuKSw4+Iy4Qnhk3mpjFHcPUbt7DT+oxJ7TydzJRVs7j0vXv54W6nVu5sGwWQh9dE2bivVdSIuNz5x9C92NKtG7944xZ+uNvXeLf/jsU2qWI55KM3uWD2o1y2++nM6jfK7RXj2Y6Sz4u4skn64zviMuOfQ3ZnY1UNV75zJzeNPZzHR+5XbJMqCtE0Z819isOWv8H39jqLeX2GF9ukLke5vYhLQmV1xNl8fnP9AicNDXVoy2Dpvg5NGKK6sK3nqbFvJsV1ev9xXLznOfz43TsZu34Z14/9AulUVfwFhx1WbaazjPm2RtcjfsW21FxlfI5pwm6/4sTk+JOZeqmt+7o04vh5O3yDrWvSe8smfjDzPmq3buKCvc5nTXWfbcdEpzSyNeHsmmxsJO3SjO2QepfW216zOCdPWZmcCuyIvUZcpizqNZgL9zqPURtXcdVbU6ndurHYJpU1IzY28LvXb2B1dR/+a6+zWFPdp9gmdUlaAzq8+5qnbFjfvSeX7n468/oM47rXrmfH9T5pXkew9+q5/O61G3i4fgrXjj+W5lRlPWi2Kxp4lSRZyonKumPUdLsx3K9arGfXqqroesIZn53hz/axVvhz7CfedIXCxjgP67c0JgSI8MfRRzC/5xB+89qN3D76UB6uPwCVVDyjmvl0WmXXY1ecvVHzkT1nCHMnSBOxfV3ua/afLEtWNIDqrVs488On+dxHM/jpxBN5o+9O4f7xsGUiEoclL9j3iSk3xFzH7HNxyAT5hDG7yqzvR8RlTTvA16y8+thEVFZHXME8OXQy7/Xfke/OeoBPrXyHX044jqW9BxXbrC7LhLWL+P7M+/mw91DO3fdbgRThPSPahfacs66r4DviCmJxr0FcvPc5fHnxS/z+9Ru4Y/ShPDRyCuqTkieme8tWzpz/NIcvf53f7fxFnh+ye7FNKi+UfF4Aevc1T9ckLSkeGFAlX6EAABY4SURBVHUw0+p24bvvt46Oj2dpr7pim1byTFy7kO/NfIAPew/lG/tfxNpuhUxm7slJBT5YVFZHnEVPs1M8SmxmjWQzPsfdzLITl1xtrTeZDiyWRqfWjMpm2LVpz+KaOi7e4xyOW/Ii102/nqeH7MmdYw7Z/rbf1kpj6SuNHRyzcMSPo0OIp8XU7GVpR1kG97URGxs4a/5T7LFmPn8YexT/HByOgmPubNn1ZHHpvrF60snKIOqiFnNtK9B9zaonFsZcaMrMhJSbR0QSKqsj9kRIS4r7R36CfwzZi1MXPset067loZEHcu+oT7KxukexzSs6A5vWcfq8Z/jMyre5f+TBXDPuy2z26Ss7nHLziEiCFwc9rKnuw3U7f5Hz972A4Zs+5o5p13D8wn/TPd1cbNOKQu/mzZw99wluefnXNFV154wDvsOfRx/iO+HOQPNYyojKGhFH3NDMRzpbmygwei5lT2PhjoqKNGmtR6Pn7EdMc5JPK+Ob67c1FlkXXf2oe39+Pv54dtqwnLM/fIqvLPwXj4w4gMeH78uammiAQkStcSk5OTLH2bJGYnKMmiLNxrwIM7u2Ddu0mi8tmcYRy1/jpboJnLfvhazo3i84pjntlDjsel0Rcblm3YhOJJojWs4szyP7Wl5RdzG3uHT2sjYSBHSUWS+bgMrqiD2JmNd7GJftcTrj1y3mS0unMfWVX/Fy3QQerp/Ce31HdVwqyyKQ0jT7NXzAMUumMbFxEU8Mncy39j5v+8tL75LW+VRgGkzfEXuy8kHfkVzddyR/3Hokn18+g0tm3semqmoeqZ/CM0P3YFO3mmKbWDD9t6zniGWvcfSSV1jbvRcP10/hit1OYauPiis6fkTcgYjIBOBWYDJwmapebZSdBHwPuF1Vfx1u2we4DegJPAZ8W1VVRAYC9wCjgQ+BE1X1YxE5Exitqld00ilVDI3de3H/Dp/ggVEHsc/Hc/nSkpc5b85jvNNvR14aNIEXB08s/el/VBm1cSUHr5rJQStnMmbDR7wwaBJX7noy7/cduW23SuwESooy1H+T0Jk//6uBi4BjM5SdBOwH/FlE+qjqeuB64FzgZYKO+AjgceAS4GlVvUpELgnXv5/IAlPbMqM27XBey8cqEgLtCn+OZVSz6q1yTJNsh72ax9lirpE1LZa1zbbBPBdbj7V9ySLiLlZZsOG1vmN5re9YerU0se/HcziwYSZfn/cPVvTox4t1E3lp0ATm1I4gHQaJxEQMe0N7PfpnqKYq3cKuaxdw8KqZHNgwi+p0My/VTeDOUYfwZv8xwehXFWk29Funq5tbO3WFEDuzpMVm/shjtgyH+2S8nWRhzDF3NfslgNlOu4c455VHwkfW5YuqrgBWiMhRGYpbv54KiIgMB/qq6ksEG24n6MAfB44BPhPuPxV4jqAj3gSs7yj7PVE2duvB84N34/nBu5GihV3XLeLAhplc+t691G1pZG6f4XxQW88HtSP4oLaexb0GbeucO4Ju6WZGb1jB+MYl25YdN6xgYe8hvFQ3gR9POok5fYYHPzYVqEF2KXxi+KLxIDAduFNVG0VkF2CxUb4YaJ11caiqLgNQ1WUiMiT8fE9nGuzZTjpVxdv9R/N2/9HcOPZIejdvZlzjEsY3LuXAhlmcOf9p+m9dz5w+w1necyAN1bU01NSG//dldbiedYp5VXq1NFHX1MjALY3UNa2jbksjdU2N1G1ZR/3GBnbcsILlPQeEnX89Tw3dm7m1w9lcVe3lhq6EVuacdSXREavqVILRbSuZXsv7b1MXYX33nswYuDMzBu68bVufrZsYt34pQ5rWMLCpkfpNDey+5kOjQ22kW7qFFknRLClUhJQqVZqmu7awqao60oGvrulLQ3Utc2qHs6x+IHP7DPd+vuVCBf5wdmhHLCIXAOeEq19Q1aUJD10MjDTWRwKtx34kIsPD0fBwIOsc8iJyB3Dctg2m9pRy5Gq00/4ZunDMrzOC2x/Z1PBit5rDJSxWYvoRuzRhQA3f5rjGmT0c2qkfB5VlrydDjOoGqeGN2jHQ13GemqabpqnSNClN0yKpbUvOxESW1us0x5Ei06UDx2fzyJ6iMnafuHyMXe8LHPUEdTn8iGOzRWevN6IL22lhXZqxrZOLbDBWH1TV08iXyuuHOzayTlWvU9W9wiVpJ0woPTSKyBQREeB04OGw+BHgjPDzGcb2TPWcpqq9VdVnZ+kCqKTYmurG5qpqNnbrQVNVNc2pbj47XBei9fsWLvl3wgQ/YkmWcqIz3deGEejAfYG0iPwHMElV12U55Hy2u689Hi4AVwH3isjZwELgKx1pt8fj6USUinyZ2pleE8uJyg259p8O7JZhewPw2QJt2PY58kLAfna1B2BmprYcLmpODPe1WKa2KqtR1y++ISHEJx2N7ipqPGZqrn2zyw1iSRORY223OFfkXUel1nJU65QbXLKFvW67mblCiF37utzK7HKXFGGX53RfM6SxfFzbYvYZ34d21nMFrciXqyXxss7j8Xi24Ttij8fjKTK+I/Z4PJ4i4jXiCsDUyCJuXbZeZovE2eOhTc04L73Y0lXjocCZZ9YINjhcwBxTYti6oNizeZj72k2kLK3SXMmhJ2dpol1xSs+50kOauLTdXDNrJJ0BI0fYstslzaHtOjRhsP7+Md23JXuZPQuMS+9uB/LwiPAhzh6Px9P+qA9x9ng8nqKieI3Y4/F4io7XiMscO3QzJJbx0cp0GdGM7YwkRll+PsYxZ2Wr2OFzHAlFtn2g7ZSZhs9xjimV1SiPBbPFwpijiTqz1WPTYUFyji+v0y815/RCjnqcPsd5+Aa7Qqfz8Tl2acL2sbH3ItnL1OWfnOU71Ra8H7HH4/EUG98RezweTxFRdU/QW6ZUVEccCXF2PP45pQr7ScwsS+eYLcNpnCss2HIPM/e1Q49d9dqSge1CF51+2a7Iqtac+cMyN1pptLCzvmMJXdRyPgbnNbuxa4aOPGZbzsPVLXHYcrCDo16jnlyh0oYN7R3ibNdfKVRUR+zxeLoAviP2eDyeIqLER/IVgO+IPR5PCaFxj44KoLI64kg6y+1ir8RmZs6uGcdc20zNOGX/kjvCoe3HL9sGU6dzabu2fmxZoI5989GlnXqy/b1xuLbZuFzdXOTl4pSP+1quWThcZZE0q8nd1/LRmmOzxzhd5qwXGkld1HLMCqItjnDotqL4l3Uej8dTdLxG7PF4PEXGd8RlTmTSQ0e0nB2dZroIWVWKw30t5utmZjezpAixI5Qi7mFWvS6XNNu+POSHdpMxTOzZO+xDnaVtwPXI3F5yQz715OO+5pAxYu5i5n2TU/JI6KKWT8a3dtdz80r6UzZUVkfs8XhKGyWf1Jo+DabH4/F0CD4Npsfj8RQTH+Jc9qg5e2/K1Mui+8V0S1Ojzce1zdaMzVXbDclOS2ZmTcvl6mbiuolzzLbsCp22UZf263Jtc+2bD+3kvhbTfV3H5tR2E2rGbXFJszXZPPZN7KJm3+OucOgOcF9T70fs8Xg8RcZH1nk8Hk+R8V4THo/HU0RUO2RC0lKnsjriiLZlzICRsjUx+zhDW3aEQ8d8jO2phSMarKUJO/RltdNMmppiLBTZMQWG7QucR+i0TT7+yUUnH39fV3kuP2Jn6s08fINdfroOvda2L16vwwZX2LKtNXeoHzF+ROzxeDzFRaM/ChWC74g9Hk/p4NNglhYi0gN4HqghsPN+Vf2hiIwB7gYGAq8Dp6nqFhG5AvhQVW/LWmnkkSezTAFxqSI6QWj01zo2IafZnCUTRCKp7TbsQYCZyS02yadRr50VzX6sc4YfO0KnbQoNYy6WTOGUCdop/NmlZbrkh3Z0SYtkFMxlnzHSzEcOibmoaXaJo12oQPe1jppTtz1oAg5V1T2BvYAjRGQK8HPgWlUdB3wMnF1EGz0eTzuiBB1/kqWcKNmOWAPWh6vdw0WBQ4H7w+1TgWPDz+uBTZ1qpMfjaV80TAyfZCkjSlaaABCRKuA1YGfgOmAusEZVm8NdFgP1AKp6da76xk0eY1ZufLbdEhzeBbYUYMbhVdn1WNKEY8JNpw0ue+zoONe+NjFJwUsT7kftAiPpsKSAfCYPjZXZ0kSWNjLt22J6+LikiVz2ZZYm/vEa7UIlvqyTDpmFtZ0Rkf7AX4HLgVtVdedw+yjgMVXdPctxdwDHhau9OsNWj6fC2Wh8flBVT8vnYBH5OzAo4e6rVPWIfOovVUp6RNyKqq4RkeeAKUB/EekWjopHAksdx50GnAYgIhtUtXdn2JsEb4+bUrMHSs+mcrSnXDrWfClZjVhEBocjYUSkJ3AYMBN4Fjgh3O0M4OHiWOjxeDztQymPiIcDU0OdOAXcq6qPish7wN0i8hNgBnBzMY30eDyetlKyHbGqvgXsnWH7PGD/Aqp8sM1GtS/eHjelZg+Unk3enjKhS7ys83g8nnKmZDViFyJyi4isEJF3jG0jROQZEXlYRPqE284TkbdF5A0ReUFEJhn7/0BE5ojI+yJyuLH9w3a29YiwjTkickm4bYyITBOR2SJyj4hUh9uvEJEzO7DdXUXkJRGZKhL4y4nIj0XkrfAaPSkiI8LtIiK/DY9/S0Qmh9tHhy9O24WOvj4i0kNEXhGRN0XkXRH5Ubj9NhGZH573GyKyV7h9gIj8NTznV0RkN6Ouk0TkdRH5D2Pb3426bwilNERkoIg8FZ7DUyIyINx+ZhgFWhLXqIDr009E/mbs/3WjrovD6/NVV93taX/ZoKpdbgE+BUwG3jG2XQXsChwNnBdu62uUfwn4e/h5EvAmQfj0GAL/5Kqw7MN2tLMqrHsnoDpscxJwL3BSuM8NwPnh5yuAMzuw3ZuBwcC3gCMyXKOLgBvCz18AHidwLp4CTAu3jwae6yrXJ7S/T/i5OzAtPJ/bgBMy7P9L4Ifh5wnA00bZQ6HNdxt19jXaecCw+xfAJeHnS4Cfh5/PBK4olWtUwPW51DiXwcDq0K4+wF8I5M6HXXWH6x36HehqS5ccEavq8wQ3gEkVgXt7mjAyQVXXGeW92e6Rfwxwt6o2qep8YA7bdeeV7Wjq/sAcVZ2nqlsIvsDH0PHRgdnarSJMq0Kya3S7BrxM4DY4nCArhn3t29vOdrs+of2ZIjSzMQl4Ojx2FjBaRIaGZa3RKUr8+nUj6JDM6zc1wzlsCs8jKR16jQq4PgrUiogQdL6rgWai18ZZd3isj5A16JIdcRZ+D/wROA+4s3WjiFwgInMJRigXhZvrgUXGsWaE3n7taFO2drJGB6rqPR3Y7m+A/wMOBJ5sLRSRn4rIIuBUgqCZrHWo6iJVPY72oVOuj4hUicgbwArgKVWdFhb9NJQgrhWRmnDbm4RBQCKyP7Ajgb86BC+jpgPTVbXRqP+JsO5GtncuQ1V1WWj3MmBI+PkeTRAF+v/bO9NQq6oojv/+UmnRZCZSZEhlWVFZvTIbJdOyKAqbaNQmiCaEaMCo/JRE0WRlFA0fstEK64NI2Tyr5XsaZqIVgTRAE0WDr9WHtY/veDt3et77ru+2fnC5Z9hn7X0W96579tp3/3eOpvuoTv/MAvbG/7/fBVxjZv8kf3Th/nmmiu0hjWx/O9A2gdjMvjKzo83s5PyXxMzuN7PdgeuBm9Lhonm3zRi1LKqnaOXPRtddeH9m9omZjTGz88x65O/NbLqZDQeeBK6sZKMP2tlw/5hZt5mNxgPqoSnveyOeejgEV/K7PhWfCQxOweMq/C+S65KdJ8zsQDO7s8T+8fjfLQfiT3qNpOk+qtM/xwOfAjvjYlyzJG2b7NyW/DOniu2++v71G9omENfA0/R0f74BhufOVZyhtxEU1fM1aXZgE+vu7f3NASZvpI166FP/mNlPwBt4fnxt6jr/CTxGSk2Z2S9mNjUFjwvwPOiaGmz/AczD0wYA36ZUDun9u142u898VIt/gKn41GUzs1W4b0bVYxv4oRnt78+0dSCWNDK3exLwRdqeB5wtaaBc33gk8FETmvAxMDKNEG8BnJ3qbvbswHL1/ocSH50CrEjb84AL5BwG/Jx1tfugnQ3zj4pnaK7IBUnhP9DL0v722Qg+cAnwVkkePW9765ydzfABzrz/LmzAPTTVR/X6B/8RGJ/ODQP2AlbXY9vMrFHtbxt6O8rXyhfwFLAW+Bt/Yri4TLl7gOV4V+p1YN/cuen4aPTnwKQmtvVEYGWqa3o6thse+FcBzwED+6LeMuXm4l+yTuBlPA8M3n3MFO+6gI7+6B9gfzy90Jnu8+Z0fGG6r2X4mEI2uj8W/8FegeeEB1ewPQwPlJ3pc3YfsFk6NwQf9Psive+wKfqoF/7ZGR9fyM6dV6/tvvoO9KdXTOgIgiBoMW2dmgiCIOgPRCAOgiBoMRGIgyAIWkwE4iAIghYTgTgIgqDFRCAOgiBoMRGI/wdIGiZpjqTVkhbLpTBPq3LNCOVkRuusb4qSnGbaf0Q5CdIq146T9Epv6q0VSe+l9xGSzunF9VMkzWp8y4L/KxGI25w0M+olfIbYbmZ2MD47a5fKV24UU/A//gNgZpeY2WdNrK8uzOzwtDkCqDsQB0GjiUDc/hwL/GVms7MD5gJJ98H6p8K3k6D3EkmHlxqoVEbSdXLx/aWSZko6HegAnpQLim8p6Q1JHan8CcnGUkmv1XoTksZL+iTV9WimBibpS0kzks0uSaPS8aFyQfYlkh6S9JWkHdO5TJpxJnBUaue00iddSa9IGpe2p0paKelN4IhcmaGS5kr6OL3WnwuCWolA3P7sCyypcP47YIKZHQScBdxbaxlJk3AdgjFmdgBwu5k9j0shnmtmo81svbaspKHAw8DkVP6MWm5A0iBcqPwsM9sP1/69PFfkh9S2B4Fr07FbgIXp+IvArgWmbwDeTu28q0L9OwEz8AA8AdcszrgHuMtcPnUy8Egt9xQEeTbZxUOD5iDpfuBI/Cn5EFyse5Z8KZxuYM+Cy8qVOQ54zMx+BzCzaoLxh+EpkjU1ls/YC1hjZivT/hPAFcDdaT9btHIxSUs43eNpqZ75kn6ssa4ixuCrknwPIOkZNvTBPp4BAmBbSdtYToo1CKoRgbj9WU6PtCVmdkXqoi9Kh6YB3wIH4D2kPwpslCsj6tORrbd8/rpK/Jneu+n5TFe7poh1bNhLHJTbLtfuAcDY/JN/ENRLpCban4XAIEn5rvxWue3tgLVm9g9wPsWi4+XKLAAukrQV+IKZ6fivwDYFdt4HjpFLj+bLVyNbsmiPtH8+8GaVa94Bzkz1TAQGF5QpbeeXwGhJAyQNp0eD90NgnKQhkjZnw5TKAnrE9Em9hiCoiwjEbY65vN6peABcI+kjvGufrbjwAHChpA/w7vZvBWYKy5jZfFwbd5F8RYssP/s4MDsbrMu15XvgMuAFSUvJLalTwnhJ32Qv4EBckPw5SV34mnuzy1ybMQOYKGkJMAmXTS1NF3QC69LA4TTgXVzovAu4g5RbN9dhvhX/IXmVDXPuVwMd8iWFPsOX6gqCuggZzKAtSf+q6DazdZLGAg+ar7oRBJsckSMO2pVdgWclDQD+Ai5tcXuCoCzxRBwEQdBiIkccBEHQYiIQB0EQtJgIxEEQBC0mAnEQBEGLiUAcBEHQYv4FxPmwtyxH3eoAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "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\n" ] } ], "source": [ "# NOTE: https://arxiv.org/abs/1607.08142 cite 2.67e21 without the the +/- 0.3 deg band around the plane\n", "mask = pix_reg.to_mask()\n", "data = mask.multiply(jfact.data)\n", "total_jfact = np.sum(data)\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", "text/plain": [ "
" ] }, "metadata": {}, "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": {}, "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": "3.6.0" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 2 }