Impact parameters - spectrum.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Impact of the parameters: Spectrum\n",
"\n",
"Here is studied a more realistic case:\n",
"* z=0.1\n",
"* source spectrum is generated assuming a powerlaw spectrum (between Emin=1MeV and Emax=100TeV): $\\Gamma =1.2$\n",
"* EGMF (turbulent magnetic field): 1E-15 Gauss, L_B= 1 Mpc\n",
"* EBL model: Dominguez\n",
"\n",
"This part shows the impact on spectrum if we play with the different parameters.\n",
"\n",
"#### Emax\n",
"* if Emax < Ecut (10TeV) => Ecut = Emax\n",
"* else no impact"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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os88+W0888YQk6VOf+pQ+8pGP6Je//GXs2qNHj+qBBx7QNddck9NrLgaScgBA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\nAAALU8oBAGBhSjkAACxMKQcAgIX9KdvKlrUTVpKLAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f32122bdcd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import modules.spectrum\n",
"modules.spectrum.drawSpectrum([\"Emax=10TeV\",\"Emax=50TeV\",\"Emax=100TeV\",\"Emax=1000TeV\"])"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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wsLZv366hodZDGy7qbzFJcc7NknS7mR0/0j5b0nwz+8xI+1ztL8qD7M+y9hqR\nrsHBwYYfyignxgVq7a8XBlUt0qVI8V1kVH9/v+8VPYPUDEE/L+pdjh35Vu/rOnJ/+OVwqs/P2mDx\nKcpPkXSFmc0faX9R0j4z+0bA/VGUAwBCqcyc7y/C/Sb1pk2rxGJQDNWZ2zhrBoryYkqqKJ/QUq/a\n4xFJRzvnZjnnOlRZ/vBHKfcJAFBg1RNFq/wy6EFOFAWAoDJVlDvnbpL0oKRjnHO/c8592sz+rMpJ\nnXdJelTSLWb2WJr9RL5lPeeHdDAu4Kc6LoJerKjR9V0o2vMhyImffF4gCZkqys1ssZm9wcwmmdlM\nM1s7cv+dZvY2M3urma1Mu58AgHILspqLF1cYzbY+ny+iX+YcSErmMuVxI1MOAGi3aia9FX19lRl6\ntF/tyiCt1BBkyoupNCd6xo2iHACQtqhFOj++0hPHiZ8U5cVU5hM9gViRBYQfxgX8xDUuvJl0761e\n/IWMejaFGRe1GXVuxbglhaIcAICUeYt2MurZUVuMhb3ip5lxK+gtkbFW9D+rEF8BAORdkMk5Mujx\nauXiQignMuVNUJQDAIqGE0nbzy+2MG3aND3LFaQwgkw5EBLZYfhhXMBPVsdFlLiLF/GXcPyWTNy1\na1cKPUFRUZQDAJBzzU4k9d6qvCePOk4krWtgYGA0T7x58+a0u4MCIr4CAEDJBF1Agh+f9VXjLNQY\nqCK+AgAAQvGLu/jNpFf19zOTDiSNohylk9WMKNLFuICfoo4Lv7iLn2oB7pc/L3MmvajjAumiKAcA\nAIE0KuABtIZMOQAAGMNvycXaJRT9MullW2KRTDm8WKe8CYpyAADiFeVK40Ur2inK4cWJnkBIZAHh\nh3EBP4wLf2VfF51xgSRMTLsDAAAgX8LMeEeZVQfKiPgKAABIVJDCPG/xFuIr8CJT3gRFOQAA6Sri\nxYooyuFFphwIiSwg/DAu4IdxEa9ma6Pn5eJEjAskgUw5AABIVL3J5Or9fjPpRToxFAiC+AoAAEhV\ndV10b5Ge5R/fxFfgRXwFAADk2sBAvuMsQBwoylE6ZAHhh3EBP4yL5lwCax76rYOepTgL4wJJoCgH\nACAnkiiAsyhPSyMCcSFTDgBAToxkVlM/drvz1H6/i6S9rrnfL0h9fX0a4DeK0iJTDgDInGYzut7H\nyzID3Kraorgd71m9Y5jZmILc2596zwvaZ+929eIsaWbO+3w6tSlLGRvkDkU5SocsIPwwLsZrVjh7\ni7BGBVdVDSVDAAAgAElEQVSYIjLMcZOW5rho9P7WFsVBC+BW38dGs+LeIj3IccKMn+qJoNVb2kX6\n4OAgM+KIHUU5AJRIUgWvtyjzizn4PV6vHVTY19Ougj7u4zQqeuM4br2Z7qhfl3rPa3R/o/HhFaQe\nbsekdbXfxGQRh9xmyp1zR0n6kqRDzezjDbYjUw6g1LxZYG/soFE7zmMnIezraeW9aLYvSXX3HWR/\ncYhrn2lm16PIwjrnrFuOVjPluS3Kq5xz36MoB1B2YYpPVMRZlAc5RqtFfZm0WuBSlCMNhTrR0zl3\nvXNup3Pul5775zvnfuOce9I5d2la/UMxkB2GnzyMizAZ3FoUCf6aRWjMbMy4aDVy0+j5RCDGyvr7\nkYfPC+RPpopySWslza+9wzl3gKRvj9z/DkmLnXPHptA3AMiMpDLaiFfcmeyyYVUelEnm4ivOuVmS\nbjez40fap0paYWbzR9qXjWz6z5K+LukDkv7VzL5RZ3/EVwDkSjuyx0AeBB374+M/Gmkn1rWmfUD5\ntBpfmRhnZxLyRkm/q2nvkDTbzF6QtDTIDnp6etTT06NZs2apq6tLPT096u3tlbT/T1C0adOmnWbb\nOafNmzerVvVxbzsL/aVNux3t6vdEteDdvHnzmMfnzp07+lejwcFBDQ4Ojj4uDY4U5/vbs2dLP/lJ\nMv31ysL7RzvZ9tDQkIaHh7V9+3YNDQ2pVXmYKT9b0nwz+8xI+1xVivILA+6PmXKMMfZDG6hIYlxw\nYl/+8XmRPUFOYm6Ueonj28xvXDBTjkKd6FnH05Jm1rRnqjJbDgCZE+bkyzDrMgMYr/73zUDNNmML\n8TSvAgo0koeZ8omSHlclO/6MpK2SFpvZYwH3x0w5gESx/CCQXdXvyepa5l5xfbv6/ULe19fHlT9L\npFDrlDvnbpI0R9JUSc9KutzM1jrnPiTpW5IOkPQdM1sZYp8U5QBiRfQEyI/xMbKxjydZlFf2z2dD\nWRQqvmJmi83sDWY2ycxmmtnakfvvNLO3mdlbwxTkgJ/qyRpArSDjIugl41EcfF7kX+0vz5WiqfVC\nvNG4yPoa68iuTBXlAJA1rJMMFENaxXL1lwHnnPoJsaOBTMVXkkB8BUBYZMSB4vOuZR736inTp0/X\nrl27xt3P50lxFSpTngSKcgB+WJ4QKLekLzBExrx8CpUpB9qBjGh5NfohWXvhHn5ooorPi+KoRkiC\nbNdMkHFRjcuQMUdQebiiJwDEjh+SQLnU+56vrcH7+trUGcAH8RUAhdPoSpoAyi3ouuVxZ8y54mfx\nkSlvgqIcKL5mmXCKcgBVY88nGf940hlzPouKi0w5EBIZ0fzyZj2Drhse5Icg4wJ+GBfFE0dRzLhA\nEijKAWQa64QDSEr1QkL16nQ+f9BOxFcAZBrREwDt4F9/D8isf+Tx1uInxFeKj/gKgEKonZGqXbqM\nH2AA2sF/5ZX9V+BkaUMkjaIcpUMWMDsarRve7h9+jAv4YVyUx8BA8zhLFeMCSaAoB9BWXOUOAIDx\nyJQDSJz3kvZ8TwLIumYZ8/D7I5JXdGTKAWRCvUy4Fz+Q0hV1MYmgz2OxChRbtILcd0/9/aOfldVb\nf398+0f+UJSjdMgCxidoJjwPhXgZx4X3y1fbdq5+gd3oea0eN2vKOC4wll/GPI5xscnncqJ+96E8\nKMoBxCIPhXeRNCts67WDfpm8hUiY51WP5y3yg2BGHlnhvxpLZezNnVv5N46JbVZ1QRWZcgBNcdn6\n9HmLaufGFsph2+0W9Pi123n/L9V/rAzDsSyvM6ucG5BffKXRhYe8n5uV7S1QG/nTaqacohzAOH4/\nLCjK2yNrxXSaWi3kw+wjDxr9koL28f6VZv/XpPnnpvfxRm3kDyd6AiGREa2v9odCo0x4EX9otHNc\n5ClTnaawkZlmwkZ+pGjjIu6vp18BHmQt7XYp2/g1kzZvHvS5P3/n0iBbKMqBkqt3sibiFfRt9v4c\n5+d6OHG9f80y8Xn7xSqpXxQAxIf4ClBCrBsej0ZRiWYZcORLnJn9IM8NEk+JOv6C9j3seC76GB8f\nN9FIO+j2xFeKjvgKAF+sG56uqKuXIJuazcD7FaitrD7Tajwl6vir18+w+wv7l4Zm92dBs1VSvJ+z\nrKqCsCjKUTplzJSTdWyu0bgIurwgb2vxRP28aFRUxzVuou4n6PPC9itq5j3LhXg9fuOCIhytoigH\ncs47A86fQKOZO3f//xtdOAeIIu6TVpOS1PHD/iLA9yDKiEw5kEONMuFkxOtrlsHlbQNQD5lyNNNq\npnxinJ0BkIxGH9ZlWK6wHXjbADTS7LPV+znNZzHCIr6C0slTpjzouuEYK0oGPE/jAu3DuIAfMuVI\nQm5nyp1zUyRdI+lVSYNmtjHlLgGxIH4SHlc3BIqF72mUUW4z5c65T0p6wcwGnHM3m9kn6mxHphyZ\nx7rh/uJcGxpAPoX9Pm/X5wKZcngVap1y59z1zrmdzrlfeu6f75z7jXPuSefcpSN3v1HS70b+/1pb\nOwq0iHXDAaBYWKccrcpUUS5praT5tXc45w6Q9O2R+98habFz7lhJOyTNHNksa68DGdbOjGij5QrJ\niNcXdB3wON82ssPww7hIn/eqolXeixO1M/JCphxJyFSm3Mzud87N8tx9sqRtZrZdkpxzN0taIOn/\nlPRt51y/pB812m9PT496eno0a9YsdXV1qaenR729vZL2f2PRLk97aGiobcer3levnYX3I622c9Lm\nzZX23LmVx6ttKf3+0aY92ObPC9qN29KgBgf922aV7avtSoE+qM2bk+1PRdDtw0n7/abdvD00NKTh\n4WFt375dQ0NDalXmMuUjRfntZnb8SPtjks4ys8+MtM+VNNvMLgy4PzLlSBxrhQfDuuAAioJMObwK\nlSmvg9GJzGmUCcdY9d4mfu4ASFo7Pqar0ZnKbWD0fuIsCCsPRfnT2p8d18j/d6TUFxRA9U9QQUTN\nhJftg7hR1rNWlt+WMOMC5cG4KI7a3HmrBgcH1dfn90h/PAdAKeWhKH9E0tHOuVnOuQ5Ji9QkQw4g\nWWF+uGW5EAdQbLWfP2bxfh4NDMS/T5RbpjLlzrmbJM2RNFXSs5IuN7O1zrkPSfqWpAMkfcfMVobY\nJ5lyhEYmvIJ1wQHAX+1fTmsnKfafN0OmvGxazZRnqihPAkU56vFesEca++FY1nHT6GRMinIARRTH\nZ1vcJ34if8pwoicQG+ecb0a07OuGB82AF/ltITsMP4yL4og7U75/v5z0j3hQlKO0ylx4N/rhVLK3\nBUBJePPf7b7gENAM8RWUQlnjKKwLDgDBeAv0sJ+ZxFdAfAXwUeZ1xJkBB4Dw4lpJpXbd8n5WSEQI\nFOXItSjriBchI1qEdcGzpgjjAvFjXBSHN7bXbN6m0een37jwW7d806ZgfQMkaWLaHQDCKmMUJUzu\nsWRvDQAEkvRn48DA2HZJ/1iLFpApRy54ly8sy9eUHDgApKPVk0DHZ9TJlBcdmXIURm0UpVEmvOgf\nWMyuAED6ajPmSX4ul/X8J4xHUY5MSnLd8CxmRMmEpy+L4wLpY1zAj9+4iHMddJQTRTlSV9Q/2TU6\nGZN1wgEgP5L8XC7azz5ER6YcqShqRpxL1ANAMTVfh3zs4/4TLwMy6x95nEx50ZApR2aVJSPOJeoB\noPjCrmPut0SixMLlqI+iHLFqVHgnlREPK0pGlHXBi4/sMPwwLuAnyLgYGNhfyPOzAUFQlKNlRZwB\nD3PCTo5fJgAgJv4z40BwZMrRsqJmwgEAqIq6brl3gifouuXIHzLlaJt6GfG8f4CwhBUAoBliKEga\nRTkaCpoRz5PBwUEy4RiH7DD8MC7gJ8y4oJhHUBTlGFd4FyUjzrrgAIB24i+vaAWZcozLhBclI04+\nHAAQlyCZcu+1Kmq3H98mU140ZMoRWNBMeN4+EOotV5izlwEAyLAgMZTax4mtICyK8oIrYiZcau1P\nhGRE4YdxAT+MC/hhXCAJFOUFlNdMeKML9ITJhGf8ZQIACijM9S0AP2TKCyivmXBvBpxMOAAgK8JG\nI8mUlw+Z8hLL67rhQTPgGX8ZAIASCZsRb779HZKsZobdRu5DWVGU50xeM+JZ+pMeWUD4YVzAD+MC\nfuIZF/0B70NZUJTnQB4z4mTAAQBF02iCKWqmnFVaUEWmPCNqc+B+ObOsvgZy4ACAsmi0DrnftrWP\nh20jf0qbKXfOHeWc+1fn3PfS7ktUQaMoWSvIsxRFAQCgXcKsQ84MOMLKbVFuZk+Z2X9Jux9xyVrh\nHVQeoyhkROGHcQE/jAv4YVwgCakX5c65651zO51zv/TcP9859xvn3JPOuUvT6l8SsrJKSqN1wb3t\n2qxcHgpvAADaiXXK0arUM+XOuTMk7ZF0g5kdP3LfAZIel/RBSU9LeljSYknvlvQuSd80s2dGtv2e\nmX28wf7bkin35r7zkBFvlgcnHw4AgD8y5fDKfabczO6XtNtz98mStpnZdjP7k6SbJS0wsxvN7HNm\n9oxz7jDn3LWSerI+k561jHjQdcH5YAAAwB+ZcsRtYtodqOONkn5X094haXbtBmb2gqSlQXbW09Oj\nnp4ezZo1S11dXerp6VFvb6+k/bmwqG3nnDZv3jxaaFcf97bjOl7Q9ty5vTKr35ba258stYeGhrR8\n+fLM9Id2Ntr7vzey0R/a2WjzeUHbr139f5jnS9XnBGtn6fXSrv/5MDw8rO3bt2toaEitSj2+IknO\nuVmSbq+Jr5wtab6ZfWakfa6k2WZ2YYR9xx5f8UZTsvEeVv6t/TMYURR/g4ODNR+SQAXjAn4YF/Dj\nNy7ijrMgf1qNr2S1KD9F0hVmNn+k/UVJ+8zsGxH2Hakoz0MmXKLYBgAgDWTK4ZX7THkdj0g62jk3\nyznXIWmRpB+l1ZmsZsIBAEA6yJQjbqkX5c65myQ9KOkY59zvnHOfNrM/S1om6S5Jj0q6xcweS+j4\nvu12F95BlyP04hs+vNosIFDFuIAfxgX8MC6QhNRP9DSzxXXuv1PSnUkcMyvxk6DRE1ZFAQAg2/zi\nJ0RMEUYmMuVJcs6NvsAsZMJrv0H5ZgUAIJ+CZMC9P/NrtydTXjxFzZTHqt2Z8GZXytzfj0S7AQAA\nElKbGefnPOJQiqI8aWEurcs3aPrIAsIP4wJ+GBfww7hAEijKW1D7p6baYpsMOAAA5cHPecShFJny\nOF8jmXAAABAWmfLiI1PeBmTFAAAAkKTSF+V+BTfrghcbWUD4YVzAD+MCfhgXSEIpi/J6BXfQjDgA\nAAAQp1JkyqXKa2yWBScjDgAAkkCmvPjIlAcQdOabbwQAANBOQZdURvGVoigHapEFhB/GBfwwLuCH\ncYEkUJQDAACkhL/So6oUmfKiv0YAAJBtZMqLj0w5AAAAkHMU5SgdsoDww7iAH8YF/DAukASKcgAA\nACBlgTPlzrnDAmy2z8yGW+tSvMiUAwCAtJEpL75WM+UTQ2z7vyU9E2B/M6N2BgAAACijMPGVx8zs\nqEY3Sc8n1VEgLmQB4YdxAT+MC/hhXCAJYYryU2LaBgAAAECNMJnyayRtNLP/O9kuxYtMOQAASBuZ\n8uJr5zrlT0j6pnPuP51zq51zJ0U9KAAAAID9AhflZvYtMztV0hxJL0i63jn3uHNuhXPumMR6CMSM\nLCD8MC7gh3EBP4wLJCH0OuVmtt3MVpnZSZI+Iekjkh6LvWcAAABASQTOlI8+wbmJkvpUKcg/IGmz\npJvM7Ifxd691ZMoBAEDayJQXX9vWKXfOnalKId4vaaukmySdb2Z7oh4cAAAAQLj4ymWStkg61sw+\nbGYbKciRR2QB4YdxAT+MC/hhXCAJgWfKzez9kuScm+Cc+6Sko8zsvzvnjpR0hJltTaqTAAAAQJFF\nyZRfK2mfpPeb2dudc4dJutvM3p1EB5v0ZYEqcZpDJH3HzH7ssw2ZcgAAkCoy5cXXtkx5jdlmdpJz\n7meSZGYvOOcOjNqBVoycXPpD51yXpP8paVxRDiB/+jf2a9OTm8bc13d0nwaWDKTUIwAAkhWlKN/r\nnDug2nDOTVNl5jwy59z1qsx4P2tmx9fcP1/StyQdIOlfzewbdXbxZUnfbqUPeRe2iGm16Gn2fL/H\nkxb4+E9JOqp9/UI8Nj25Se7KyBMQzTUZF83GF780FNPg4KB6e3vT7gYyhnGBJESJr5wr6RxJfylp\nvaSPSfqymd0auRPOnSFpj6QbqkX5SOH/uKQPSnpa0sOSFkt6t6R3SfqmpP8taZUq8Zn/qLNv0xXN\n+5B2QYk2oijPhbZ/T6YwLij0s4/iC36ijAviK8XXanwldFE+ctBjVVmjXJLuMbNHo3agZp+zJN1e\nU5SfKmmFmc0faV8mSWa2quY5/03Sp1Qp2IfM7Dqf/QYqyosgbBHTatGTpYIi7eOj2LL4lyFvHwBk\nG0V58aVSlCfBpyj/mKSzzOwzI+1zVcmzXxhyv3biiSeqp6dHs2bNUldXl3p6ekZ/wx0cHNRl/9dl\neujAhypPeKryT9+ZlR921WWParenTZs27Vbb/Rv7tenukUJ+ZIZ+9p9ma9UHV9V9vPr5FLRdu7+0\nXy9t2mVvO1dpmwVrp91f2s3bQ0NDGh4e1vbt2zU0NKSf//zn7SnKnXMLJb3JzL490t4qadrIw5eY\n2feidmJkf7M0tig/W9L8OIryrPzigWwYHBwc/aYCqvI2LuKYnWemvbm8jQu0R5RxwUx58bVz9ZVL\nVLmiZ1WHKvnuKZLWSWqpKPfxtKSZNe2ZknbEfAwAyKVmxXSQot178ixFOgCkJ8xM+SO1a5E7575t\nZstG/v+Qmc1uqSPjZ8onqnKi5wckPSNpq6TFZvZYyP0yUw4AHmHPOwHQGmbKi69tmXLn3G/N7C11\nHvt/zOzNkTvh3E2S5kiaKulZSZeb2Vrn3Ie0f0nE75jZygj7pigHgCYo0oFkUZQXXzuL8o2SBs3s\nnz33L5U0x8wWR+1EkijK4UVGFH4YF2NRpFcwLuCHTDn8tFqUTwix7eckfdo5N+icu3rkNijpb0ce\nyzzvhUeSuhBJ0P226/hh21GP067tWjV33dyGxw36/rSrv3F9/eJ6XtjnR31e0vtHYwNLBmQrbPTW\nd3TfuG2qmfR6t/6N/Sn0HADyKXBRbmY7JZ0m6auStquy+NZ/l3Sqmf1/ifSujVopZKs/gKLsN47j\nN9pvWK0UqN73JMr+g+6vpXYLF4hJpb8t9C9MARzl6xf0+e0eD834Pb921iup79s8C1KkexXhImzM\nksMP4wJJCLz6inPuf5nZuyT9x8it0TaZZCusYbvd+43r+M32G7Yd5TiN9hHl/UjqvfHbd9T3J6v9\njbKfKF+/qK8/6fFQ3dZd6cb8P+x+6qndb9jn1etfkHbWNIutVF8vq7sAQDBhMuV/kLStyWaHmtmR\nLfcqRmTK4UVGtBzCFrVBx0VcxXKYojyPBXxRMul8XsAPmXL4aec65ccG2ObPUTsCAFL9yIe36PRu\n5y3wvLPkzfYXVLv+whb1OFkp0L3Ftl+RzjrpALBf4JnyvGKmvBzCFl5s77993NtF2b6VPrSyv7Db\nRtm+HcLMsKep3kx6VvoHxI2Z8uJr50x5fvX3S5uanHDU1ycNZGOGxvvDqtUfUtXCodksVFYKw6jb\nI5wgJ+o1em4cl3j3EyVz3igqkZXxEmX8R5k5Dvp6m2Xck+Z9XWTQAZRdOWbKg24cYMs0CtEkZv/S\nmCXMSlFORhR+kh4XYWeGg37f1m7bShGb9gx7VjPofF7AD5ly+GnbTLlz7npJd0raYmY7nHOHStpr\nZn+IevB2Gjha6n/CKqO+dsQ75///Oup+r1xRp4CsOf5f/U2grkqK9sOn0cxjkB94YX/oZm17IMui\nfD+H/WtEbUY7b99vZNABlF2Y1Ve+ZmZfqmkfKGmOKieA/qeZ/SiZLrbGOWe6ovJ/W+FflA8cLfU/\nmUr3gquN1wSJ43ifA6DQgsTemp0c20yamXQy6Mg7ZsqLr9WZ8jBF+X8xs391zvVLeoekrZIekPSa\npP8ws/dH7USSAp/oWVus+32n+P2/0WO1/w9aRKeNIh4otDCRmHrPr7f2e7sjL36vhZlzZBlFefG1\nWpQHvqKnJCdJZjYgaYakx1Up6k3Sv0ftQCaZjf2uCPodUm+7akFeu9/q/4O2vfr6xm7jvfVFOIlv\n06bKp0LUW3/NJbX7+xs/nqLBwcG0u4AMKsO4CHpFzuoVVPs3jv2e9V7QKc1Zar/+V+Mt9fofRRnG\nBcJjXCAJYVZf+bpzrleV2fEXJT1rZvtGHstFrryhqIV3vedFKeqDHLfRTH1tuzrjHXT7OGbzq0V9\n1MebYSYfiE2QGeUwGfWw66y3OpMeNIMOAHkRJr7yXyU9JOkUSe+RdIIq0ZWfSzrMzD6eVCdbUbh1\nyoMW2VHa3sfC9KGvb3xRHyUH34qkj8cvBSiRODLqYeIucSPegqwhvlJ8bcuU1zn4waoU6BeZ2YLI\nO0pQ4YryJMWdq4+jXZWHXD5FO0qmWUY9SOGdVHGe1SUWUV4U5cXXtky5c26G9z4ze9nM7pH0P6J2\nABnijdwEieb4teNSG3WpFrv1svd+Gfo6ufvBzZsb5/GjZvRbzeS3kuFHy8iIhlebUa/3uFQ/o+5V\n79oEUQwsGWiaoQ8Sb2FcwA/jAkkIc6Lnj51ztzvnNjrnljvnTnHOdTjnzpA0M6kOIiPiytyHbQfl\ndzJt7ay1N8setr1pk3+xXj1mlBNrW9Xsl4CcnHiLYghy4mftiZi1z/Pj3a5V3iLde5y4TgwFgKjC\nZMrfYWaPOuemSPqypD2STpR0kKQnzexzyXUzOuIrJdWu7H2UTH4c0ojzNMvsE99BA0Ey6vUkEXEh\n3oJ2I75SfKlkyp1znzSzG0f+3yFpgZl9L2onkkRRjtjVK76DZvKTaHs1K5qzkNFvVMRT9JeOu9LV\nLYK9J4ySQUceUZQXXzvXKa/1Z+fcd5xzH5V0tKQ3Re0A0G4tZwGDZO0bZfLj5he9GRgYH7WpLXL9\nHg+bqa/N7Me9Lr7fLwze7WOO55ARTV+9orgd66HXzaA/1bx/KB8+L5CESEW5md0kabWkkyQtVWXt\ncgD1xJ21D1rwewv22vtrH4uSqa+dtY6jyPdqVvTXFulBingy9bnQLEvuPXm09nlxqhbpm/92Mxl0\nAG0RKL7inHubpH1m9mTyXYoX8RWUWtCce9RMfZB22L4EkUY8h0x9olrJnEvJR1yCxFu8iLugFvGV\n4mtLptw5N1FSr6S3Sdon6WEzeyTqQduJohyIWVwnxUqtF/pRpZWpp3CPLMzFgLKSQZfaE71BPlCU\nF19aJ3qeLOkvVYm/PC5p0Mz+HLUTSaIoh9fg4KB6e3vT7kY5ZGmmvomG4yKtE2cp4kfVK4KTvjhR\n1M8LrihabFHGBUV58bValE+M8iQz2ypp60gH3ibp70ZWYXla0l1m9krUDgEokKA/XeLK0HvFVcA3\nK4yDFM5RCve0V8jJkKjFbO2Mubed5Cx239F9436JqK7TXrsNRTqAqjDrlJ9rZhuabPMGSWeY2S1x\ndC4OzJQDJRbnDHzQY8Sl3km6jZR8Zt07O92o6G1HxKVW1Jl+FAcz5cXXtviKc+6nkr4h6SVJPzWz\nXVEP2k4U5QACaVawS+EvINVKwR5HJKZkRbpfZCRI0dvuAr16HK/aXyJYN714KMqLr53rlP83M7tV\nleUP3+GcO8c5t8g5t8w5d1rUDkTlnHu7c26Nc+57zrml7T4+8ov1ZeFncPPmsXfU/mSsLs3oJ8zy\nlK0uQxl2mcmSLQtZu8542OfVk9Tnxeg66DWq8RZ3pQt0EinrpqeHnyNIQuBMuZk9MPLvy865nZI+\nKOnjkh6T9P8m072G/fmNpL93zk2QtF7Ste3uA4CSClqgewv7JHlnxIPMtBc4s16v0G6W6fZm0DfP\n2TzajnMG3Xtcv5nxZvEbAMUSJr7yekmfkPQ3I3etl7TRzJ5vqQPOXS+pX9KzZnZ8zf3zJX1L0gGS\n/tXMvuHz3A9L+ntJN45c0Mhv/8RXAORXUstF+mXWSxB38RazQQvtNCIuzfrjRZwl24ivFF87M+V/\nkvQjSSvM7FdRD+iz3zMk7ZF0Q7Uod84doMpSix9UZUWXhyUtlvRuSe+S9E0ze6ZmH3eY2V/V2T9F\nOYD8auVk1UaCzKQXuEj3rsYS9rn1CvR2FexczCh/KMqLr52Z8ksk/ZOkdzvnznPOfdI51+ucm+Kc\n+1jUDpjZ/ZJ2e+4+WdI2M9tuZn+SdLOkBWZ2o5l9zsyecc7Ncc79H865ayXxKYPAyALCT2bHRdTl\nIptl2L2Z9SCZ9AJl0P0y3VXVXHf/xn7fcZH2LLlUib/UZugbvZ6q2sx69fUhmsx+XiDXIl08aPTJ\nzh0h6T2SrjCzv2xhP7Mk3V4zU/4xSWeZ2WdG2udKmm1mF0bYt5144onq6enRrFmz1NXVpZ6entFF\n/6vfWLTL0x4aGtLy5csz0x/a2WhX/5+V/sTedm70ZFbftnf7/n4NjsykVx6VBkf+HW3Pni2tWpWN\n1xdje+69cysv8CnpH3v+MdLnhbvSSU9Jm/92c+qvp7e3tzKzfvfIzPpRGn19te3Zf5qtVR8s3tcz\nK58XzlXaZsHaWXq9tOvXE8PDw9q+fbuGhob085//vG3xlRlmtrPOY3PNbLPfYwH3PUtji/KzJc2P\nqygnvgIAdQSNvJQs7lKb2W51ZjyuiEuc0RjWTW8/4ivF184rev7YOfefkl5W5WqeP5H0vyTNltQd\ntQN1PC1pZk17pqQdMR8DAFCrUYEeZHWXatylKsdFut8VObOklUy8NH71l+r+uOIokJ4wM+XvMLNH\nnXNTJH1ZlZMzT5R0kKQnzexzkTsxfqZ8oionen5A0jOq/BKw2Mwei7BvZsoxxuDg4Oifn4AqxoWC\nXzDJT72Z9Jx//vqNi3rLEYYtkIPOfGfhiqNhl2wsuiifF8yUF1/bZsrN7NGRf19xzj1qZjeOdKBD\n0spzL5wAACAASURBVIKoHXDO3SRpjqSpzrnfSbrczNY655ZJukuVJRG/E6UgBwCEEHRddb8C3Tsj\nXq0w/JZerMrxTHrcvDPf7V52McjMuVf1xNGqMhfpQBwinejpnFusynKFA6rMaJ9pZv8Yc99iwUw5\nAMQsyDKMQTLoUqGnBb0FbZiiNe210JvNjJNJD4+Z8uJr2zrlPgd+m6RzJXWpcvGerVE7kSSKcgBI\nUNR10ktw8SK/Wea4ita0Z9ab9QfjUZQXXzvXKR/DzB43s6+Y2YVZLcgBP7VLWQFVjIuIgq6T7lVv\nXfSMaWVchF1HPMq+/Xh/GWgUQYlbWdZB5/MCSQiz+goAAPUFzaRLwTLoBZo5rxdbieuk0bRnqP1W\nq8ny6jVAFrV08aA8IL4CACnyRlpayaAXqEiviqsoD3qsONZLD3osr7KfCEp8pfgSz5Q75zrNbI9z\n7kBJ+8zstagHSwNFOQCkqFFR3iiDXtAlFqNyV7qWi9pGRXncmfB6J4LWKluRTlFefIkW5c65SyQd\nrsqyhCslraxeZTMvKMrhxXrU8MO4SEGjddH9tvVqw8x5VsZFkieNhulD1Jn2ohXprFMOP0mf6PmQ\npMslXSLp/QG2BwAgGG8G3Vud1MrJiaFJCXqiaKsnWkY9SbR6zHoGlgw0PfG1uu55GU4UBfw0myl/\nt6R3m9m1zrnrJQ1KusfMdjjnDpW018z+0J6uRhP7THn1h0WYGZraP8OGmQVqtH1QQU+aCjoLFXR/\nYf/07Fy095QpBaB4giytWIIlFaNodUa9nbnzWmVY95yZ8uJr2zrlzrmvmdmXatoHqnIlzmMl/aeZ\n/ShqJ5LknBv/Cr33hCmI/bYNU2jHUZQn0d+g+4x7f2H2285js31yvygCQUXJnNcqcZFeW+T6FbZx\nZNSTVMR1zynKi6+d65Q/NXLAfufcxZJOU2Xm/NuSlkftQCb4/Vm0HrNw29ceo9F3WvVPt95bq6r7\nadbnoMePe39VUd/TCFhfNgHVNam9t7S27+8Ptl0NxkXGeb+W1b+UNfpMiiHektdxURsXqccbF2lV\nO9dDT1texwWyLcw65U6SzGzAOTdX0uOqzLSbc+7fE+ldXMKul9tM0O2T+nU3yn7jni1KY39BX3fY\n94ft49lvVgQswhP/iwRax7rnifFbVzxORZzpBpIWJr6yS9Ldkh6QNFXS18xs38hjf2dm30msly1g\n9RWgZIKe95FkUU4B3z6se555UXLqRVznnPhK8bUzvvJlSd+UtE/SLEkPOed+4py7TtL8qB0AgFhV\n4wzNiq2wEaukImZhozkIZmCgLfGWooor0hJVvdVZgCILXJSb2XVmNmRm15rZ35nZeyTNk3SLpI7E\negjEjCwg/MQ6Lijg26d2mrH2vfC+L94ivXa76q1//BJ8fF60zjsr7r1gUVVt27uEYtYwLpCEltYd\nN7OXzeweSf8jpv4AQLkkWcD7FJmF1eh9C7PueZMivWzqzZgnPZOe9kw9kIbAmfK8IlMOoJTCLMla\ndEHWPQ97bYWC864b7p2tbveJnEXImJMpL762rVOeVxTlAErJr8hsdlJq0U98DFKc127rVfT3JwRv\nkZx0cV7v4kKNZK1opygvvnae6AkUAllA+CncuPBmqIP8pK/GN8qgWQZ9JN4yWHsfJ4aO8jsRM0ne\njHmQ4yd5YmjhPi+QCWHWKQcAFE21WA+yhGDeRVn3fHBQ6u1l3XOPZjPQrcZbmj0/6PGBPCG+AgBo\nrEzrrrey7rlXiYt2v6K4nauoZPHiRcRXio/4CgAASQuy7rlX0f/y0EC74y1AEVCUo3TIAsIP46KB\npJZtzCLPuuej46LZuudleG9C8GbA/Wasq8seVm/9G/vHPZ5VfF4gCRTlAIDWFe3CRmHXPa+Hdc8D\na3RiZtR1y5sV/kCWkCkHALQuzDrf1aI2r5nr2ty5N4NebQfJoOf19Scg7gx4oyUU08qZkykvPtYp\nb4KiHAAypnamOe+fz/WKci+K9Fi4K12gotpvu7RP/qQoLz5O9ARCIgsIP4yLNvIWsRnWdFx4KyhP\nJn1UkBNFa4v2/v76kSDiMJLGZs6jxlui4vMCSWCdcgBA+/X1FXt1kqDroFf5rYPeTIHfP78Cu+/o\nvrqz3N77s7QUIhAU8RUAQLbkPXNeq5V4S6PXX/CsQ71MeCvFNvEVJK3UmXLn3BRVroJ8hZn5fnJR\nlANAzvjNFuf1czxoUR52n36K8EtMTPwKcIpyJK3smfJLJN2SdieQL2QB4YdxkSFBL87TBi2Pi6CZ\n82axFe/jzTLpJVdvbXRJsSyRyOcFkpB6Ue6cu945t9M590vP/fOdc79xzj3pnLvU53nzJD0qaVe7\n+goAaBPviZFeRV4HXWr8+szqvz8lOTE06Imdtdv4XWV005ObWMccmZF6fMU5d4akPZJuMLPjR+47\nQNLjkj4o6WlJD0taLOndkt4l6ZuSLpA0RdI7JP1B0kf8cirEVwCggIr6t/6g8Rbv6w+y5GLt9jnn\nV5DXu2po9X5vfCWJ3HojxFeKrxCZcufcLEm31xTlp0paYWbzR9qXSZKZrfJ57nmSdpmZ76cRRTkA\nFJB3Frkon/NxZM7r7dcrxxl0v4K61WI66cw5RXnxtVqUZ3VJxDdK+l1Ne4ek2X4bmtn6Zjvr6elR\nT0+PZs2apa6uLvX09Ki3t1fS/lwY7fK0h4aGtHz58sz0h3Y22tX/Z6U/tJu0+/o0ODIzXHm0IJ8X\nmzeHez1z56p3pIoL/X5t2iQ5t789e7a0alU2vr5N2gNLBmLfv57SGHF/XkjV5wRrZ+n9pl3/82F4\neFjbt2/X0NCQWpXVmfKzJc03s8+MtM+VNNvMLoywb2bKMcbg4GDNhyRQwbgomJimHTM/LqLOrNeL\nuxTk52WUWe8wz4kyLpgpL76ixldOUWWZw2p85YuS9pnZNyLsm6IcAMqmSMsqBuFX4YVZirFg8ZYo\nSyLWu2DRwJJ43gOK8uIr6pKIj0g62jk3yznXIWmRpB+l3CcAQF5kZEnFtmm2mksz9ZZYbLSaS85W\nd/FbJjHI6ixAu6RelDvnbpL0oKRjnHO/c8592sz+LGmZpLtUWfbwFjN7LM1+ojhqs4BAFeOiYLxL\nBkYsWHM7Lhqtj+7H+35F+aUm5+ukVwvwRmucV+V2XCDTUj/R08wW17n/Tkl3trk7AIAyKFhcI5JG\nkZaw70NO14yvLb7TutInUJWJTHmSyJQDAMYp+ImOgdQW5a0GmjMWiA6SKa9dw9z7XFthsWfMyZQX\nX1Ez5QAAJMcv3lK2aqj29da+fu+sd5h2RjLmfhGUILGUWmTM0W4U5SgdsoDww7jAOM5pMCNFZubV\nO1E0Q9yVbszsd70CvXp/o4w5nxdIQuqZcgAAciFjRWZi6p0kGrQt7Z89r51Fz1lmn4w52o1MOQAA\nzVQz6Pw88ecNRNfL7Ndqc5HuzYiHLbqjXJBozPPJlBcemXIAAJJWzaB71Vuzu2y8mfQgSyy2+S8P\nfhlxIEsoylE6ZAHhh3EBP4yLmHiL9Ko2ZvYHlgyM5sODzHZ7M+i1GBdIAkU5AABR+a3gUm9GvSwn\nija7UJEU7AqiKb9ftcV7veIciBOZcgAAkuZXoBb9Z1OjddC9Fy7K+LrxQVZtaboPMuWFR6YcAICs\ni3LZ+ryrtw66n3rxloxgJRa0A0U5SocsIPwwLuAntnHhd7EiL+/JokWOuwSJuCSsUWa8GT4vkASK\ncgAAsqgs66JXlXHVGqAGmXIAALKmjAHjRhn0JA4Xct1y1ilHM2TKAQAomqARlyKti97s9cYc52Hd\ncmQNRTlKhywg/DAu4IdxkZI2XGwo7LrltRgXSAJFOQAAeRFmXfQ8nzia4dVY3JVOc9fNlbvSqX9j\njt5TZB6ZcgAAiibj6343VS9wXauvr1K8t0n/xn5tenL8exp0lp1MefG1mimnKAcAoKxqi902F7mh\nZPCXDO+Jn35Fe9/RfRpYUnlPKcqLjxM9gZDIAsIP4wJ+SjUusrgEY7VSrRdnqXfia4S4TrN1y2sf\n9xsXfrPofvcB9VCUAwBQVhnMbAcS5AqpKf2SEeXEUUCiKEcJ9fb2pt0FZBDjAn5KMy6CFLlpqM12\n1EZt/K6QGtOJoUGu9NloXES9SihAUQ4AQNlVi9x6+vvTXQ+9DTP6rFuOtFGUo3RKlRFFYIwL+Cn1\nuKjNZ2clb57gLwZh1i1vNC6IriAqinIAANBc1iIutQV6ka5sitJiSUQAAJA/ztWPtNQr0GNc9tG7\nJGLTNksiFh5LIgIAgPbKwhVDG1Wv9Wb1W4zhcBInkkRRjtIpdUYUdTEu4IdxUYdf0ZuV3Lm0vy8x\nrcjixbhAEiam3QEAAJAzWb3yZ1VCGRBO4kSScjtT7pzrdc7d75xb45ybk3Z/kB+lWXcYoTAu4Idx\n0YK04y3VPsS9yyud5t47N/b9AnmeKd8n6WVJkyTtSLkvAACgkSzFW2JEzhxxSX2m3Dl3vXNup3Pu\nl5775zvnfuOce9I5d6nPU+83sz5Jl0m6si2dRSGQBYQfxgX8MC5aEDTPneRMegIxFlth2jxns+9j\nXIAIrUi9KJe0VtL82juccwdI+vbI/e+QtNg5d6xz7pPOuX90zr2hZp3DYVVmywEAQBYFKc5zOpNe\ne7GhTU/m8zUgG1KPr5jZ/c65WZ67T5a0zcy2S5Jz7mZJC8xslaQbR+77iKSzJHVJ+qdGx+jp6VFP\nT49mzZqlrq4u9fT0jOYEq7MgtMvVrspKf2in3+7t7c1Uf2hnp12Vlf4Urm0mOafByp3JHU8VvSM5\n89H2yL+DkjR7tnp/8pOm++vt7dVmjZ0tHzd7/pQ8fI9Yt52Zrw/tuu2hoSENDw9r+/btGhoaUqsy\ncfGgkaL8djM7fqT9MUlnmdlnRtrnSpptZhdG2DcXDwIAIMvaceWcoCd9xtQHLh5UPkW9eBBDEonx\nzn4BEuMC/hgXbVLvYj9xqs24+91CGBwclLvScZInYpXVovxpSTNr2jPFCisAABTTwIB/YZz2kooN\n1GbJJVGko2VZja9MlPS4pA9IekbSVkmLzeyxCPsmvgIAQB55Iydx/jyvlx+p1dcX+UJJxFfKJ/fx\nFefcTZIelHSMc+53zrlPm9mfJS2TdJekRyXdEqUgBwAAORYhWlJXdca93r79IjQxrAgzOoN+hZOW\nZGu2H9mSelFuZovN7A1mNsnMZprZ2pH77zSzt5nZW81sZdr9RHGQEYUfxgX8MC4KpLYI95sVr86I\nB/hFIHKm/BiWTER9qS+JCAAA0FAOMh3euEpt3rz2caCeTGTKk0SmHACAAvLOdreQ/264/zo1hLfI\n9hbhtdvZCgudMUf+5D5TDgAA0LKkrghaZwWYvqPbsIwjSoWiHKVDRhR+GBfww7jIsIhrjAfW4MTP\nwcFBDSwZGF0Wsd4suVR/Bh3wIlMOAADyLYnCvDrz3ujkUCBGZMoBAACaaTH0Taa8+MiUAwAA1PKu\nSd7qvoA2oChH6ZARhR/GBfwwLuDHb1xEWrccqEGmHAAAoJ6k8iRL+qVjNsldOdK+QtITfZJiXNYR\nuUKmHAAAFEtt5CSuGiDguuWN1iuvfbzerDqrteQXmXIAAIBafssZZlSzJRVRHhTlKB0yovDDuIAf\nxkVODQwkuoY54wJJoCgHAAAAUkamHAAAFF+rC4HHvU55kzbyp9VMOauvAACA8kjiJFAgBsRXUDpk\nAeGHcQE/jIsCifHkzyDjgnXLERYz5QAAoPgGWP8b2cZMOUqnt7c37S4ggxgX8MO4gB/GBZJAUQ4A\nANCq/v5KXn3kZldId3w37U4hTyjKUTpkROGHcQE/jAuM45wGq8V3f//++zdtGrdp/5Nt7Bdyj6Ic\nAAAgCp9CPMmLFqHYONETpUMWEH4YF/DDuCiwsOuO12zXW/t8ICYU5QAAoLxYtxwZQXwFpfP/t3fv\n8VXVZ77HP08ColASI4mBQC5iBEREbHkB3mhqHYu2Hn2hg6AgoJXaEarY4yAOEKoUKoyjM7WnLa2X\nCuJtZuoRUZlaTA/IeKE2qFxE0EAkyIACEZAQkuf8kZ1tElbIPfuS7/v12i/2b63f+q3f2jxsnqw8\n+7dVIypBFBcSRHERx1qwbrniQtqC7pSLiIhIx9PUdcubWu4i0kTmcR5cZubxfo0iIiLSjoJKXuom\n7aG2za19qOdX7a/+ts/62hJ7zAx3b/aHDVS+IiIiIiISYTGblFuVn5vZv5nZTZGej8QO1QJKEMWF\nBFFcSFiNdckLXn+90Yd5vuvutzRKzCblwDVAb+Ao8GmE5yIiIiLxLmhdcpFWEvGk3MweM7PdZvZ+\nne2jzGyzmX1kZjMCDu0HvOHu/xv4cbtMVuKC1h2WIIoLCaK46ECqv6WzERQX0hYinpQDjwOjam4w\ns0TgkdD2gcA4MzvbzCaY2UNmlkHV3fH9oUMq2nPCIiIiEqeqk3N9OZC0s4gn5e6+GthXZ/MwYKu7\nF7l7OfAMcLW7L3H36e5eAvwn8D0z+zfgL+07a4llqhGVIIoLCaK46ECasG654kLaQrSuU94bKK7R\n/hQYXrODu38F/LAxgw0ZMoQhQ4aQk5PDqaeeypAhQ8K/eqr+h6V2x2kXFhZG1XzUVlvt6G3r/aID\nte++G+6+u/b+goKv21TJC/3Z1DafUFsD7Yi/Hmo32C4sLGT//v0UFRVRWFhIS0XFOuVmlgMsd/dz\nQ+1rgVHufmuoPR4Y7u7TmjG21ikXERGR1lVfeUs965bXty75cYdrpZaYFa/rlO8EMmu0M9EKKyIi\nIhItgspdmlACI1JXtCbl64CzzCzHzE4CrgdejPCcJE5U/wpKpCbFhQRRXEiQgoICWLGi6i54zceK\nFU0eS+uYS7WIJ+Vm9jSwFuhnZsVmNtndjwFTgZXARuBZd98UyXmKiIiIhGmFFmllUVFT3pZUUy4i\nIiJtrk4NeWNryutrS+xpaU15tK6+IiIiIhI7dANQWiji5Ssi7U01ohJEcSFBFBcSVuNLhQqqn3//\n+40+zufCS0+1+SwlhikpFxEREWlI0MoqL7/89fNG1Jd//6NWnI/EHdWUi4iIiLSUWf0lLDUT9kbW\nmEvsidd1ykVERERih24ASgspKZcORzWiEkRxIUEUFxKkyXGhhF0aQUm5iIiIiEiEqaZcREREpK01\ncd1yiT2qKRcRERERiXFKyqXDUY2oBFFcSBDFhQQpKCj4et1ykVaipFxEREREJMJUUy4iIiLSVHVq\nxJvaXzXl8aelNeVKykVERESaKuALgRrVP9R3RT877hs+V5wF39+inCVW6YOeIk2kGlEJoriQIIoL\nCVJQUABXXtmiMeom5PVtk46jU6QnICIiIhJzVqxonXGq77LrQ6MdnspXRERERNpa3Rr0htoSc1S+\nIiIiIiIS45SUS4ejGlEJoriQIIoLCRIYF1q3XFpISbmIiIiISISpplxERESkpRqqCVdNedxTTbmI\niIiISIxTUi4djmpEJYjiQoIoLiSI4kLagpJyEREREZEIU025iIiISFtTTXncU025iIiIiEiMU1Iu\nHY5qASWI4kKCKC4kSKPiQuuWSxMpKRcRERERiTDVlIuIiIi0tqbWkKumPOa1tKa8U2tOpj2Z2cXA\njVRdw0B3vyjCUxIRERERaZaYLV9x9zXu/mPgJeCJCE9HYohqRCWI4kKCKC4kiOJC2kLEk3Ize8zM\ndpvZ+3W2jzKzzWb2kZnNOMEQNwDL2naWIiIiIiJtJ+I15WZ2CXAQeNLdzw1tSwQ+BC4DdgLvAOOA\nocA3gUXuXmJmWcAsd59ygvFVUy4iIiKRpZryuBfzNeXuvtrMcupsHgZsdfciADN7Brja3X8BLKnR\n72bgsXaYpoiIiIhIm4l4Ul6P3kBxjfanwPC6ndx9bmMGGzJkCEOGDCEnJ4dTTz2VIUOGkJeXB3xd\nF6Z2x2kXFhZy5513Rs181I6OdvXzaJmP2tHR1vuF2kHt6udNOr66f+jPBttRdL1q1//+sH//foqK\niigsLKSlIl6+AhC6U768RvnKtcAod7811B4PDHf3ac0YW+UrUktBQUH4H5VINcWFBFFcSJBmxYXK\nV+JeS8tXojUpHwHMdfdRofZMoNLdH2jG2ErKRUREJLKUlMe9liblCa05mVa0DjjLzHLM7CTgeuDF\nCM9JRERERKRNRDwpN7OngbVAPzMrNrPJ7n4MmAqsBDYCz7r7pkjOU+JHzVpAkWqKCwmiuJAgjYoL\ns6/vfos0QsQ/6Onu4+rZ/grwSjtPR0RERESk3UVFTXlbUk25iIiItLv67pKrpjxuxWtNuYiIiEjs\nuvLKSM9AYoySculwVCMqQRQXEkRxIUEaFRcrVlTd9a5+iDRASbmIiIiISIR12Jpy0yeipYXi/d+O\niIi0Iq1THvdaWlMe8dVXIklJlTSXfqgTEZFWof9PJETlKyIiqHZYgikuJIjiQtqCknIRERGRSNEH\nQSWkQ9eUx/u1S9tR/IiISJOopjzuaZ1yEREREZEYp6Q8xjzxxBNccskl4XZCQgIff/xxk8cpKioi\nISGBysrK1pyeSMxSjagEUVxIEMWFtAUl5dJkBQUFZGZmRnoaIiIiInFDSbmICJCXlxfpKUgUUlxI\nEMWFtAUl5VHoF7/4Bbm5uSQlJXHOOefwwgsvNGucvLw8Zs6cyfDhw0lOTuaaa65h3759tfosXbqU\n7Oxs0tLSmD9/fnh7WVkZd955J71796Z3795Mnz6do0ePcujQIa644gpKSkro3r07SUlJfPbZZ/X2\nh6o763369OFf/uVfSE9PJyMjgyeeeCJ8rpdffplzzjmHpKQk+vTpw4MPPtis6xURERGJVUrKg5i1\n3qMZcnNzWbNmDaWlpeTn5zN+/Hh2797drLGWLFnC448/zq5du+jUqRM/+clPau1/44032LJlC3/+\n85+57777+PDDDwH4+c9/zttvv8369etZv349b7/9NvPmzaNbt268+uqrZGRk8OWXX1JaWkrPnj3r\n7V9t9+7dlJaWUlJSwqOPPsrtt9/OgQMHALjllltYvHgxpaWlbNiwgUsvvbRZ1yrSEqoRlSCKCwmi\nuJC2oKQ8Cl133XX07NkTgDFjxnDWWWfx1ltvNXkcM+Omm25i4MCBdO3alfvvv5/nnnuu1lJ++fn5\ndOnShcGDB3Peeeexfv16AJYtW8acOXNITU0lNTWV/Px8lixZAgR/E+qJ+gN07tyZOXPmkJiYyBVX\nXME3vvGN8A8AJ510Ehs2bKC0tJTk5GTOP//8Jl+riIiISCxTUh6keiH/1ng0w5NPPsn5559PSkoK\nKSkpfPDBB3z++efNGqvmBzKzsrIoLy9n79694W3VyT9A165dOXjwIAAlJSVkZ2fXOrakpKTe8zTU\nv0ePHiQkfB1uNc/1H//xH7z88svk5OSQl5fHm2++2ZxLFWkR1YhKEMWFBFFcSFtQUh5ltm/fzpQp\nU/jVr37FF198wb59+xg0aFCzv6hmx44dtZ537tyZ1NTUBo/LyMigqKio1rEZGRlA1R34pvRvyNCh\nQ3nhhRfYs2cP11xzDWPGjGnUcSIiIiLxQkl5lDl06BBmRmpqKpWVlTz++ON88MEHzRrL3Vm6dCmb\nNm3i8OHDzJkzh7//+78PTKrrGjduHPPmzWPv3r3s3buX++67jwkTJgCQnp7O559/TmlpaaP6n0h5\neTlPPfUUBw4cIDExke7du5OYmNis6xVpCdWIShDFhQRRXEhb6BTpCUhtAwcO5Kc//SkXXHABCQkJ\n3HTTTVx88cXh/WZWK6k+UYJtZkyYMIFJkyaxefNm8vLy+O1vf9uoY2fNmkVpaSmDBw8GqmrbZ82a\nBcCAAQMYN24cffv2pbKyko0bN56wf0PnWrp0KdOmTaOiooIBAwbw1FNP1dtXREREJB5Zc8siYoWZ\nedA1mlmzS0JixXe+8x0mTJjAzTffHOmpxJ2OED8iItKKqm9OVf/f0VBbYk4oN2je0nuofCXuKXEU\nERERiX5KyuNcY+rHRUQ1ohJMcSFBFBfSFlRTHsdef/31SE9BRERERBpBNeUizaD4ERGRJlFNedxT\nTbmIiIiISIxTUi4igmpEJZjiQoIoLqQtKCkXEREREYmwmK0pN7Ms4F+BL4At7v5APf1UUy6tTvEj\nIiJNopryuNeRa8oHAf/u7rcA50d6Mh1BQUEBmZmZbTJ2QkICH3/8cZuMLSIiIhLtIp6Um9ljZrbb\nzN6vs32UmW02s4/MbEbAoW8Bt5jZn4FX22WyEnWKiopISEigsrIy0lORGKcaUQmiuJAgigtpCxFP\nyoHHgVE1N5hZIvBIaPtAYJyZnW1mE8zsITPLACYB+e7+XeD77TxniTIqJREREZFYFvGk3N1XA/vq\nbB4GbHX3IncvB54Brnb3Je4+3d1LqLo7/hMz+zXwyYnOMWTIECZNmsTcuXN5+OGHo/4n3OLiYkaP\nHs3pp59Oamoq06ZNA2Dbtm1ceumlpKamkpaWxvjx4zlw4ED4uAceeIA+ffqQlJTEgAEDWLVqFQAV\nFRXMnz+f3NxckpKSGDp0KDt37gTgjjvuICsri+TkZIYOHcqaNWvC43311VdMmjSJ0047jXPOOYd3\n3nmn1jxLSkq49tprOf300+nbty+//OUv672mSZMmcdttt3H55ZeTlJREXl4eO3bsqNXnT3/6E/36\n9SMlJYWpU6eGt7s78+bNIycnh/T0dCZOnEhpaSkAI0eOBODUU0+le/fuvPXWWyfsX31n/cknnyQ7\nO5u0tDTmz58fPtfbb7/N0KFDSU5OpmfPnvz0pz894d9VQUFBrXhSO3bbeXl5UTUftaOjXVM0zEft\n6Gg36/0i9Gh0O4quV+3g9sMPP8zcuXOZNGkSQ4YMocXcPeIPIAd4v0b7OuB3NdrjgV82c2wPUt/2\nGh2CH03p3wzHjh3zwYMH+1133eWHDx/2I0eO+Jo1a9zdfevWrf7aa6/50aNHfc+ePT5y5Ei/psE3\n3QAAFgpJREFU88473d198+bNnpmZ6bt27XJ39+3bt/u2bdvc3X3hwoV+7rnn+pYtW9zd/b333vPP\nP//c3d2XLl3qX3zxhVdUVPiDDz7oPXv29LKyMnd3nzFjho8cOdL37dvnxcXFfs4553hmZqa7u1dU\nVPg3v/lNv//++728vNw//vhj79u3r69cuTLwuiZOnOjdu3f31atXe1lZmd9xxx1+8cUXh/ebmV91\n1VV+4MAB37Fjh6elpfmrr77q7u6PPvqo5+bm+ieffOIHDx700aNH+4QJE9zdvaioyM3MKyoqwmOd\nqP8nn3ziZuZTpkzxI0eO+Pr1671Lly6+efNmd3cfMWKEL1261N3dDx065G+++Wbg9TQYPyIiIjXV\nzQ0aakvMCeUGzc+HW3Jwaz0CkvJrO2pSvnbtWk9LS6uVZNbnj3/8o59//vnu7v7RRx/56aefHk7a\na+rfv7+/+OKLjTp/SkqKv/fee+7uxyXZixcv9j59+ri7+5tvvulZWVm1jp0/f75Pnjw5cNyJEyf6\nuHHjwu2DBw96YmKif/rpp+5elZS/8cYb4f1jxozxBx54wN3dL730Uv/1r38d3vfhhx96586dvaKi\nIpxk13y9GtN/586d4f3Dhg3zZ5991t3dR44c6fn5+b5nz54Tvk5KyuPP66+/HukpSBRSXEiQZsWF\nkvK419KkPOLlK/XYCdRc5iMT+LRdZ1BfWt6U/s1QXFxMdnY2CQnH/9Xs3r2bsWPH0qdPH5KTk5kw\nYQKff/45ALm5ueFfo6SnpzNu3Dh27doVHvPMM88MPN8///M/M3DgQE499VRSUlI4cOAAe/fuBarK\nU2qutpKVlRV+vn37dkpKSkhJSQk/FixYwP/8z/8EnsfM6NOnT7jdrVs3TjvtNEpKSsLbevbsGX7e\ntWtXDh48CMCuXbvIzs6uNY9jx46xe/fuwHM1pn9953r00UfZsmULZ599NsOGDWPFihWB5xARERFp\nTdGalK8DzjKzHDM7CbgeeDHCc2oXmZmZ7Nixg4qKiuP23XvvvSQmJvLBBx9w4MABlixZUmvVkXHj\nxrF69Wq2b9+OmTFjxozwmFu3bj1uvNWrV7No0SKef/559u/fz759+0hOTq7+DQO9evWqVfdd83lm\nZiZnnHEG+/btCz9KS0t56aWXAq/L3SkuLg63Dx48yBdffEFGRkaDr0lGRgZFRUW15tGpUyfS09Mx\nO3450BP1b0hubi7Lli1jz549zJgxg+uuu46vvvqqweMk9uXl5UV6ChKFFBcSRHEhbSHiSbmZPQ2s\nBfqZWbGZTXb3Y8BUYCWwEXjW3TdFcp7tZfjw4fTq1Yt77rmHw4cPc+TIEdauXQtUJbLdunUjKSmJ\nnTt3smjRovBxW7ZsYdWqVZSVldGlSxdOPvlkEhMTAfjhD3/I7Nmz2bp1K+7Oe++9xxdffMHBgwfp\n1KkTqampHD16lPvuuy/8gUiAMWPGsGDBAvbv38+nn35a64Ocw4YNo3v37ixcuJCvvvqKiooKPvjg\nA9atW1fvtb388su88cYbHD16lNmzZ3PBBRfQu3fvwL7Vv8qBqh82HnroIYqKijh48CD33nsvY8eO\nJSEhgbS0NBISEti2bVv42BP1b8jSpUvZs2cPAMnJyZhZo44TERERaYmIZxvuPs7dM9y9i7tnuvvj\noe2vuHt/d8919wWRnmd7SUhIYPny5WzdupWsrCwyMzN57rnnAMjPz+fdd98lOTmZq666imuvvTZ8\np7isrIyZM2eSlpZGr1692Lt3LwsWVL1sd911F2PGjOHyyy8nOTmZW2+9lSNHjvC9732PUaNG0a9f\nP3JycjjllFNqlajk5+eTnZ3NGWecwahRo7jpppvC50tMTOSll16isLCQvn37kpaWxpQpU2ol9TWZ\nGTfccAM/+9nP6NGjB3/7299YunRprf11+1dvu/nmm5kwYQIjR46kb9++dO3aNfwDQteuXfmnf/on\nLrroIlJSUnj77bdP2D/oXDWtXLmSQYMG0b17d6ZPn84zzzxDly5dGveXJzGt5qfqRaopLiSI4kLa\ngnkza59jhZl50DXqa9Lb1+TJk+nTpw/3339/pKfSKhQ/8aegoEC/kpbjKC4kSLPiovqGUPX/HQ21\nJeaEcoP67/w1IOJ3yqVjUAIr0U6JlwRRXEgQxYW0BSXl0i5qlqOIiIiISG0qXxFpBsVP/FGZggRR\nXEgQla9IEJWviIiIiIjEON0pF2kGxY+IiDSJ7pTHPd0pFxERERGJcUrKRUTQusMSTHEhQRQX0haU\nlIuIiIiIRJhqyqVNzZ07l23btrFkyZJIT6VVKX5ERKRJVFMe91RTLlGtJWuTT5o0idmzZ7fibERE\nRESik5LyDqqysrJdzqO7yRIrVCMqQRQXEkRxIW1BSXkUeuCBB+jTpw9JSUkMGDCAVatWAVBWVsad\nd95J79696d27N9OnT+fo0aMAPPHEE1xyySW1xklISODjjz8Gqu46//jHP+bKK6/kG9/4BgUFBRQX\nFzN69GhOP/10UlNTmTZtWvjYxx57jIEDB3LaaacxatQoduzYETjXoqIiEhIS+N3vfkfv3r3JyMjg\nwQcfDO83M44ePcrEiRNJSkpi0KBB/PWvfw3v37RpE3l5eaSkpDBo0CCWL18OwOLFi1m2bBkLFy6k\ne/fuXH311SfsX32Nt99+Oz/4wQ9ISkpixIgR4esHmD59Ounp6SQnJzN48GA2bNjQ9L8cERERkbbg\n7nH9qLrE49W3vUaH1m030ubNmz0zM9N37drl7u7bt2/3bdu2ubv77Nmz/YILLvA9e/b4nj17/MIL\nL/TZs2e7u/vjjz/uF198ca2xzCx87MSJEz05OdnXrl3r7u6HDh3ywYMH+1133eWHDx/2I0eO+Jo1\na9zd/YUXXvDc3FzfvHmzV1RU+Lx58/zCCy8MnO8nn3ziZuY33HCDHz582N9//31PS0vz1157zd3d\n8/Pz/eSTT/ZXXnnFKysrfebMmT5ixAh3dz969KifeeaZvmDBAi8vL/dVq1Z59+7d/cMPP3R390mT\nJoWvrzH9J06c6D169PB33nnHjx075jfeeKOPHTvW3d1fffVV/9a3vuUHDhwIv87Vr3FzNBg/IiIi\nNVVVize+LTEnlBs0O2fVnfIok5iYSFlZGRs2bKC8vJysrCz69u0LwLJly5gzZw6pqamkpqaSn5/f\npA9QXnPNNVxwwQUArF+/nl27drFo0SJOOeUUunTpwkUXXQTAb37zG2bOnEn//v1JSEhg5syZFBYW\nUlxcXO/Y+fn5nHLKKQwaNIjJkyfz9NNPh/ddcskljBo1CjNj/PjxrF+/HoA333yTQ4cOcc8999Cp\nUye+853v8IMf/CB8rH/9g1Wj+gOMHj2aoUOHkpiYyI033khhYSEAnTt35ssvv2TTpk1UVlbSv39/\nevbs2ejXTkRERKQtKSmvT91a6Ja2Gyk3N5eHH36YuXPnkp6ezrhx49i1axcAJSUlZGdnh/tmZWVR\nUlLSqHHNjD59+oTbxcXFZGdnk5BwfAhs376dO+64g5SUFFJSUujRowcAO3furHf8zMzMeueVnp4e\nft61a1eOHDlCZWUlJSUltY4DyM7ODh9b90Oijelf81ynnHIKBw8eBODSSy9l6tSp3H777aSnp/Oj\nH/2IL7/8st7rkY5HNaISRHEhQRQX0haUlEehcePGsXr1arZv346ZMWPGDAAyMjIoKioK99uxYwcZ\nGRkAdOvWjcOHD4f3ffbZZ8eNWzPJzczMZMeOHVRUVBzXLysri8WLF7Nv377w49ChQ4wYMaLeOdes\nOd+xYwe9e/du8DozMjIoLi6udTd8+/bt4WPrJuUN9W/ItGnTWLduHRs3bmTLli0sWrSoUceJiIiI\ntDUl5VFmy5YtrFq1irKyMrp06cLJJ59MYmIiUJWsz5s3j71797J3717uu+8+JkyYAMB5553Hhg0b\nWL9+PUeOHGHu3Lm1xvU6d+6HDx9Or169uOeeezh8+DBHjhxh7dq1ANx2223Mnz+fjRs3AnDgwAGe\nf/75E8573rx5fPXVV2zYsIEnnniC66+/vsFrHT58OF27dmXhwoWUl5dTUFDASy+9xNixY4GqO+w1\nP6g5YsSIE/ave401rVu3jrfeeovy8nK6du1a63UVAcjLy4v0FCQKKS4kiOJC2oKS8ihTVlbGzJkz\nSUtLo1evXuzdu5cFCxYAMGvWLIYOHcrgwYMZPHgwQ4cOZdasWQD069ePOXPmcNlll9G/f38uueSS\nWneazaxWOyEhgeXLl7N161aysrLIzMzkueeeA6pqz2fMmMHYsWNJTk7m3HPPZeXKlSec97e//W1y\nc3O57LLLuPvuu7nssssCz1u9DeCkk05i+fLlvPLKK6SlpTF16lSWLFlCv379ALjlllvYuHEjKSkp\njB49ms6dO5+w/4nOVVpaypQpUzjttNPIyckhNTWVu+++uwl/MyIiIiJtR9/oKS1SVFRE3759OXbs\nWGB9erxS/MSfgoIC3f2S4yguJEiz4kLf6Bn39I2eIiIiIiIxTnfKpUWKioo488wzKS8v151yERGR\n+uhOedxr6Z1yJeUizaD4ERGRJlFSHvdUviIi0gq07rAEUVxIEMWFtAUl5SIiIiIiEabyFZFmUPyI\niEiTqHwl7rW0fKVTa04m1tRd01pEREREJBJitnzFzAaa2bNm9n/M7NqmHu/uenTQx+uvv94q40h8\nUY2oBFFcSBDFhbSFmE3KgVHAL939H4CbIj0ZiR2FhYWRnoJEIcWFBFFcSBDFhbSFiCflZvaYme02\ns/frbB9lZpvN7CMzmxFw6BJgrJktBHq0y2QlLuzfvz/SU5AopLiQIIoLCaK4kLYQ8aQceJyqu95h\nZpYIPBLaPhAYZ2Znm9kEM3vIzDLcfY+7TwVmAnvbfdatpC1/BdYaYzdnjKYc05i+J+rT3H3RTnHR\ncF/FRfSNrbiIjI4cFy2NiYb2Ky7abmzFxfEinpS7+2pgX53Nw4Ct7l7k7uXAM8DV7r7E3ae7e4mZ\nZZvZb4E/AAvbedqtpiP/o2ls39b+T7aoqKjBc0aa4qLhvoqL6BtbcREZHTkuIpV8KS5aPnY8xkVL\nRcWSiGaWAyx393ND7euA77n7raH2eGC4u09rxtiRv0ARERERiXseh0sitloi3ZIXR0RERESkPUS8\nfKUeO4HMGu1M4NMIzUVEREREpE1Fa1K+DjjLzHLM7CTgeuDFCM9JRERERKRNRDwpN7OngbVAPzMr\nNrPJ7n4MmAqsBDYCz7r7pkjOU0RERESkrUTFBz1FRERERDqyiN8pFxERERHp6DpUUm5m3czsD2a2\n2MxuiPR8JDqY2Rlm9nszez7Sc5HoYWZXh94rnjGzv4v0fCQ6mNkAM/u1mT1vZrdFej4SPUI5xjtm\n9v1Iz0Wig5nlmdnq0HvGtxvq36GScmA08Jy7TwH+V6QnI9HB3T9x9x9Geh4SXdz9/4beK26j6sPm\nIrj7Znf/MVUxcVGk5yNR5R+BZyM9CYkqlcCXQBcasYpgzCflZvaYme02s/frbB9lZpvN7CMzmxHa\n3BsoDj2vaNeJSrtqYlxIB9HMuJgFPNJ+s5T21tS4MLOrgJeAl9t7rtJ+mhIXod+mbQT2RGKu0n6a\n+H6x2t2vBO4BftbQ2DGflAOPA6NqbjCzRKr+Ex0FDATGmdnZVP2UUr3+eTxcu9SvKXEhHUej48Kq\nPAC84u6F7T9VaUdNer9w9+Wh/2hvbO+JSrtqSlx8GxgB3ADcamb64sL41ei48K9XU9lP1d3yE4rW\nb/RsNHdfbWY5dTYPA7a6exGAmT0DXA38G/BIqN5L657HsabEhZntBuYDQ8xshrs/0J5zlfbTxPeL\ny4DvAklmluvuv23HqUo7auL7xelUlUJ2AVa04zSlnTUlLtx9Vqg9EdjjWtoubjXx/WIA8D3gVOCX\nDY0d80l5PWqWqUDVHfLh7n4YuDkyU5IoUF9cfEFV3bB0TPXFxTQa8SYqcau+uPgL8JfITEmiQGBc\nVDfc/Q/tPiOJBvW9X/wC+GNjB4nXEg79hCpBFBcSRHEhQRQXEkRxIUFaJS7iNSn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"text/plain": [
"<matplotlib.figure.Figure at 0x7f323085d4d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import modules.spectrum\n",
"modules.spectrum.drawSpectrum([\"Gamma=1\",\"Gamma=1.2\",\"Gamma=2\",\"Gamma=2.2\"],plot=\"cascade contribution\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Figure shows the integrated spectrum, for different intrinsic spectral indices $\\Gamma$: \n",
"1, 1.5, 2 and 2.5. The absorbed, primary spectra are also shown as dashed lines. All source \n",
"photons (generation 0) with energy higher than $\\approx$ 10 TeV are fully absorbed and \n",
"redistributed on lower energies. This result is coherent with the cut-off energy computed \n",
"(cf Target_spectrum_and_absorption.ipynb). For soft spectra with $\\Gamma$<2, the contribution \n",
"of the cascade dominates at low energy, with a shape close to the simple case spectrum especially \n",
"the $\\sqrt{E}$ distribution. Indeed because source spectrum is harder, more high energy gamma-rays \n",
"are absorbed, increasing the contribution of the cascade to the final spectrum. At the opposite, \n",
"a softer source spectrum dominates in the final spectrum. For hard source spectrum $\\Gamma>$2, the \n",
"contribution of the cascade become totally negligible. \n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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6B1Ugq8icAyiIQRcWDN1o2ouh2WyqXq9PvB/iKwCSl/E4CxlzIF05v/SBpIXX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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f32122b29d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import modules.spectrum\n",
"modules.spectrum.drawSpectrum([\"z=0.04\",\"z=0.14\",\"z=1\",\"z=2\"])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The observed spectrum of a source is not only affected by its intrinsic spectrum but also by its\n",
"distance to Earth. Using the same source emitting with a power-law spectum $dN/dE = E^{-2}$, we \n",
"only change the distance (z=0.0308$\\sim 135$Mpc, z=0.1$\\sim 432$Mpc, z=1$\\sim 3411$Mpc). \n",
"Figure 4 point out that the highest energy accessible in the spectrum decreases as the distance \n",
"grows due to the full absorption of higher energy photons. This result is compatible with the cut-off \n",
"energy presented in Target_spectrum_and_absorption.ipynb. Indeed distance of absorption \n",
"($\\lambda_{\\gamma\\gamma}$) shows that photons with lower energy can be absorbed because the mean free path \n",
"become lower than the distance to the Earth. Then most secondary photons start to be absorbed producing third \n",
"and fourth generation photons. The main \n",
"consequence is that the contribution of the cascade increases with the distance until dominating \n",
"even at low energy. Note that the all the sources are considered having the same intrinsic\n",
"luminosity. Due to the distance the luminosity observed is divided by a factor $1+z$. Then\n",
"the luminosity for a source at $z=1$ appears twice smaller than the others ($z \\approx 0$)."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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5l0TQ1Yn3b9zvR89G+OegfAVJla8wU45siNBnvFb0HU6/xWEd/7lDIy6a2+35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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f321232e950>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import modules.spectrum\n",
"modules.spectrum.drawSpectrum([\"EGMF=1e-12G\",\"EGMF=1e-15G\",\"EGMF=1e-17G\",\"EGMF=1e-18G\"],plot=\"1month\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The spectrum generated by the cascade depends also on the extragalactic medium. The extragalactic \n",
"magnetic field (either amplitude or coherence length) has no impact on the spectrum integrated over\n",
"the full-sky and with an infinite integration time. If a limited aperture is applied, then part of \n",
"the photons too much deflected are not taken into account. This deflection is directly\n",
"related to the EGMF. For the same reason, applying a finite exposure time, corresponding to a finite \n",
"time of activity of the source, will alter the spectrum shape depending on the EGMF strength. This has been shown in \n",
"\\cite{taylor_extragalactic_2011}. Figure shows the\n",
"spectrum integrated over the full sky and a time range of 10 years. Impact of the EGMF can\n",
"be seen on the 10 GeV - 10 TeV region of the spectrum. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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ovr5ev/jFL3TTTTfp/vvv15o1a3TIIYdIkqZPn66LL75Ys2bNUufOnfXuu+9q\n06ZNOuKIIzRq1KiM3ksv9ik1ZV++Yl1Ddlne2CT6rfqEi1vKOBLqm5PKS54fu3/ZeNn+p3ckn4nb\n0hnkTSxNSLdGfP8BLTOThPYn8rnIup5YqT8o5Kv8Il3tvcb22ptrSXz0+dOZktNVxhTlvLlQ4rYM\nalKeUn3z31pLA9s7f8FvbgSg/CSWwOWyZMEYo7lz52rdunW67LLLnPv06dMn9vOBBx6oPXv2SJI2\nb96sc889V9XV1aqurtZRRx0VS6jjde/eXYsWLdLcuXPVr18/TZgwQevWrYs9/sYbb2jJkiW69dZb\n1alTp9i59+3bp759+8bOP3XqVH3wwQdpva7q6mp169Yttj5o0CC9++672r59uz766CP927/9W+y8\nZ5xxRmxk/IYbbtCRRx6p8ePH64gjjtD3v//9tJ6vklXmSHmebmwSG6VMlaQlzOEc6weik2AXTy6a\nlfjXHRwSVHhS8zjpU//TRvlMeyVDSU/Ser+Ux4UkrQ/KmLCkQNK84ylPn8OoenCI9+UziWLXNMTq\nYhK+HWnnm4akcpws5xVPdeFve+U+Bbu5kQOjoXAhLpCJ2tpaLV26VGPGjNGVV16pe+65J63jBg4c\nqAcffFAnnXRS0mOJ0wCOHz9e48eP18cff6ybbrpJl19+uVasWCFJGj58uKZNm6YzzjhDy5Yt09Ch\nQ1VXV6cuXbpox44drUpB0rVr1y599NFHOvDAAyU1J/kjRoxQr1691K1bN61du1Z9+/ZNOu6ggw7S\nHXfcoTvuuEN//etfNW7cOJ1wwgkaO3ZszhdllsNFnS5lP1Le1ifebG9hHju+vVHTbEeOU1xomihx\nZDyXkWpPhEzKOvWG1/e/plSlP67XqJCNq2Vv+0JQ5/Hx2pkKspUUUxomzRKZ4tsKO8PGPoR4KV+T\nz9TPnt08x3qmM+gUyRyMT6mlbj/Db8MAIFd9+/bV0qVL9cwzz+i6665L65ipU6fqW9/6VmxKvw8+\n+ECLFy9O2u/999/Xk08+qb179+qAAw5Q9+7d1bFjx1b7TJw4UbNmzdKpp56qN998U3379tX48eN1\n3XXXqbGxUU1NTdqwYUMskU/HjBkztG/fPq1cuVLhcFgXXHCBjDG6/PLLde2118ZG3bdu3apnn31W\nkhQOh/XGG2/IWqsePXqoY8eOsQ8FtbW12rAh+wkoamtr9eabb2Z9fLEq/6Q8TtKUgHnKH576H8mG\nHA1oj8ddL82WAAAgAElEQVTlJe3xOqlvt5wm7qvCVK8x9jtyJMnBmpqk4+OT4vgl/nzLl0fab3ye\npjQstvKcKN/KS/L0ydGZfrfzbVg5XGsA7xEXyEZdXZ2WLVumX/7yl7rppptaTZfocs011+iss87S\n+PHj1aNHD5100kl66aWXYo9Hj21qatIPf/hD9e/fXz179tTKlSs1Z86c2D7R/b70pS/p1ltv1bhx\n47RlyxbNnz9f//znP3XUUUeppqZGF1xwgd577712X4cxJlb20q9fP02ePFn33nuvhg4dKkn6/ve/\nryOPPFIjR47UwQcfrNNOO03r16+XJL3++us67bTTVFVVpZNPPlnTpk3TmDFjJDXXnn/3u99VdXW1\n7rrrrpTPnWr90ksv1dq1a1VdXa3zzjuv3ddRKiqzfCWVDJOF/beZTzi+5aK7tmaiSOfCyvYkjhjH\n2uPBnP/ZTFyS6qLCqGjymdXnoJaEOKOaeR/EEugxLb/jdl5zsYmFeIoZiZJiKqG8xBTRhZlpybIc\nBwAylTj7R+LNbD799NNWjy+Pu9uzMUZf+9rX9LWvfS3pvIMHD44d26dPn5QfFC+55BJdcsklsfXL\nLrusVW37Pffck3Y5TdSYMWNir+Fb3/pW0uNdunTR9773PX3ve99Leuzaa6/Vtdde6zzvWWedpbPO\nOivl88a/5qj49SOPPFKvvPJKWq+hlFTUSHmqkXHXzXF+Mzh5W8YSRgXj5/p2jnynOYoYrKlJa1vS\n6dO8CDHLKaKTS0taXo8NNX9bUCyyqRH1qz4844tzE2Q80r480rwkcF0UGly1KvY7THXDrIwVSXmL\nC7XDcCEuAORLRY2UpxqpnXCF6wrkDzIf0U0xJaDkqHdeH2z1mGuKxAkpkq10RyfzNSd2cNWqpHKH\nxCSu/vW4Ue5M50cvAon14a6R46KWah74sWMlKTZVYSyGoxcbt4hNlWhL65uBlBJen6ScpoAEACBX\nZZ+Um5kmVmrQnsTZUmKD1qE2zi2lPn/ciGC99ifHsfO2jB4nzivuGvn0YqS2vaQ41Wwp7UlM2CQ1\n3/QnOvNHEZUOmJlG2ijpsNzOE6ypSRopTufbCq+l/UEnofwnbOqTZ0yJr1lKTE5Nwt9EtjfkKhaO\n+vJIQ0OOt+9COWKecgD5UvZJeTyvRmqDQ4KtZhPxS6710+neXdH1evLx+rKR7QcH12t0fdBJtxTE\nr1rqdj/otXuC9No/oWVsvEgrSfKHmnMAQJEo+6TczrBZf9We6sLJVKUMRS9F4pH0eopwNpBUHxzS\nTqLbSd7TTdqLVaoSqGwvJk6s7ojm7kkXN5eRQKEbgKLEKDmAfCn7pLwtxZh8+sGVsGU1vUoBJSbV\n9QvrPU2i/ZhTPBvZzuaSqgQq24FwH+6lBQAA2lDRSXk8L0ZFM02k2qtZ90piwlYOckmiy6lG1O8Y\nSrcEqlhF57VNJ/IjYrQcycqpvwBQ3CpqSsREXt19MdMpCktskNo7Bb/lKJCl+vrWdwflDqEAAI9V\ndFLulfCIEbE7P0aXti4EDIdbzwlerDy726TrU0gBP5mU06hXrjGUc45Z5B+0rLWyab5BgbYedNXz\nUONTEcqpv0Bp2rJli6qqqtrtyx566CGNHj3a0+eORCKqq6vz9Jy5CoVCmjx5sqT035tUqqqqtGnT\nJg9bl5uyT8pDoZC0enVWxxbrLdD95irlyam8J/FTSBt3Jyr39zzT1xe9IZNZvlz1s2d71g7XZ6Jc\nc8ywHLPZFHfOnrli/yQNoGAGDx6spUuXxtYfffRR1dTUaOXKlTmdd+DAgWpsbEy67bxfQqGQZs70\n4NbgPol/H3J9bxobGzV48GBJ0pQpU3TLLbe0ejzxrqypRCKR5nwzR5WRlB93XPNKunfM9DopLTHh\nSeFWpT0py3s8zLjy+Z6nukWxnzJ+LTscd9BMuEFTLjz7tqblBEY2Ns1iQeUQkxFvW4IyUYj+AqXJ\nGBNLDh9++GFdddVVamho8Hz02m/5Sv7T8emnnyZty3ZUPBvpvheBQICkPCdtlE+knZR6zOtRYt9G\nnX0oRynUe54via+vXf83XXp+bKwcKio6cl4wGSa9eRtYLrISKQCVyVqre++9V9dff72effZZjWwZ\nTNm0aZM6dOig+fPna9CgQerdu7dmzZrV6rjbbrtNRx55pHr16qULL7xQu3btanVsU1OTpOYylSOO\nOEI9evTQ4YcfroULFzrbcsMNN2j06NFqbGzU7t27demll6pfv34aMGCAbrnlltj5XFIlo6+++qoC\ngYCqq6t19NFHa8mSJZKkjRs3qrq6Orbf5Zdfrtra2tj65MmT9eMf/1iS2mzLQw89pFGjRum6665T\nr1692h2xT3xvAoGAbrnlFo0aNUpVVVU666yztGPHDl188cU6+OCDdcIJJ2jz5s2x4zt06KANGzbo\nvvvu08KFC3X77berqqpKZ599dpvP65fKmn2lSL929nqObN/n3C7xW5GXYo1ocNWqpJHy4KpVzXdO\nzUsDgsVdQ+1BTAZybwXKUCn2F5XKywELm+Xv/Z577tELL7ygZcuW6Zhjjkl6/IUXXtD69eu1bt06\nnXDCCTr//PM1bNgw3X333Vq8eLFWrFih3r176+qrr9a0adOSEu69e/fqmmuu0csvv6whQ4Zo27Zt\n2rFjR+u2W6srrrhCb7/9tn7zm9+oa9euOvfcc9WnTx9t2LBBe/bs0YQJE1RXV6crrrgiqY0zZsxw\nvrZ9+/bpzDPP1GWXXabnnntOK1eu1Nlnn60//vGPGjJkiHr06KFXXnlFn/3sZ7VixQpVVVXptdde\n02c+8xmtWLFC119/vaTmMpG22vLSSy9p0qRJev/99/XPf/4z49/BokWL9Otf/1o9e/bUSSedpJNP\nPllz5szR/Pnz9ZWvfEUzZ87UvHnzYvsbY3TFFVfoxRdfVF1dnb797W/HHtu4cWPGz5+LykrKi5TX\nI8LlNMKMZuHp05t/SLwD5Te/2Wo/3+rxE5PeUv1Kv4i+lgVQXqy1eu655zRu3DgdffTRzn1mzJih\nLl26aMSIETr22GP15z//WcOGDdPcuXP1s5/9TP369YvtN2jQIC1YsCDpHB06dNBf/vIXDRgwQLW1\nta1GpPft26eJEyeqqalJS5YsUadOnbRt2zY9/fTT+tvf/qauXbuqW7duuvbaa3X//fc7k/JUVq1a\npb179+qbLf/vjB07VhMmTNDChQs1Y8YMjRkzRpFIRH379pUxRv/5n/+p559/Xl26dNGHH36oY489\nNq229OvXT9OmTZMkde3aNe32Sc0J9pe//GUddthhkqQzzjhDr776qsaNGydJuuCCC5LqxuPlszTG\nhaQcFacs5x1eH5SGNiRvgyQpLMfdTRPKWyJitBzJyrK/KFPZjm57xRijuXPn6jvf+Y4uu+wyPfDA\nA0n79OnTJ/bzgQceqD179kiSNm/erHPPPVcdOuyvKo4m1PG6d++uRYsW6Y477tCll16qUaNG6c47\n79SwYcMkSW+88YbWrFmj3//+9+rUqVPs3Pv27VPfvn1j52lqatLAgQMzen3vvPNO0kwsgwYN0tat\nWyVJY8aM0eLFizVgwACdcsopGjNmjB555BF17dpVp5xyStptyXW2l/gPKV27dtWhhx7aaj36nhej\nsk/KC1p/C7THq5Hbhc0j2YkD6fofb05f6ia0/FvoURAA5a22tlZLly7VmDFjdOWVV+qee+5J67iB\nAwfqwQcf1EknnZT0WOKUfePHj9f48eP18ccf66abbtLll1+uFStWSJKGDx+uadOm6YwzztCyZcs0\ndOhQ1dXVqUuXLtqxY0erpD9T/fr101tvvSVrbazmfPPmzfrMZz4jqTkpv+GGGzRgwAAFAgH9x3/8\nh6ZOnaquXbtqzJgxkpRWW9q7uDKTC1H92tcvFXOhZ1s380FlKYpRr2wvTCyyOQaLrDk5CcSvJN4s\nCBWrKPoLlJS+fftq6dKleuaZZ3TdddeldczUqVP1rW99Kzb93gcffKDFixcn7ff+++/rySef1N69\ne3XAAQeoe/fu6tixY6t9Jk6cqFmzZunUU0/Vm2++qb59+2r8+PG67rrr1NjYqKamJm3YsCGWyKfr\nxBNP1IEHHqjbb79d+/btUyQS0VNPPaWJEydKko488kh17dpVCxYs0JgxY1RVVaVDDz1Uv/rVr2JJ\nuRdtaW9wJf7xTAZiamtr9eabb6a9vx/KPilP52Y+QN5lMHe7JIWHJG/7w3G9fWxg5spqshPXRa1l\n9QIB+Kmurk7Lli3TL3/5S910002tpkt0ueaaa3TWWWdp/Pjx6tGjh0466SS99NJLscejxzY1NemH\nP/yh+vfvr549e2rlypWaM2dObJ/ofl/60pd06623aty4cdqyZYvmz5+vf/7znzrqqKNUU1OjCy64\nQO+9915aryV6zs6dO2vJkiV6+umn1bt3b1111VV65JFHNHTo0Ni+gUBAvXr1Uv/+/WPrkvSv//qv\nsX3aakt775Nrn8T9Ex9r7/GoSy+9VGvXrlV1dbXOO++8NtvgF1POX+caY2w5vz5kpxRqRKMXbEan\nT0xcT9o/RR8WK2dJ8/jE8pdUfz7RsrBUNZyJj2e67rVox5uyPzCmuaY87TegncdRNkqhv6gkxhjK\n0FBwqeKwZXvWX6+W/Ug5UAmYphsAgNJW9hd6AonKcdSrxKeOT1K/Zo0adu5stS1YU+NrGVrAtzOj\nlJVjfwGgODFSDqDoJCbkqbYBAFAuSMpRcSJMk+kZE4nElvo1azw/f/RC7XyI5OVZUGroLwDkC0k5\ngIy5phhlJBsAgOxRU46KQ41o7hJru0vlJl3x018Fg0GF44rxAwVoD4of/QWAfCEpB1D2gsGgGhLm\nHk9cB1AaiuHOi4AfKF9BxaFGtPKEw2FZa2OLSyS/TUKJoL8oLvF/x4Vcli9fXvA2sBR28QNJOQAA\nAFBgJOWoONSIwiVQ6AagKNFfwIW4gB9IygEAAIACIylHxaFGVKpfWC8z08QWhYw0qb7QzSqoSKEb\ngKJEfwEX4gJ+ICkHKlDD646ZR4bmfzYSY5oXAAAqHVMiouJQC7ifndF8BbmZmZ/MuNjmM49OrWZF\nTTnc6C/gQlzAD4yUA/DfquQ7gGpVjayVfJpZqk3BYDD/TwoAQBtIylFxqAUsgOkjpLEB2UDzorGB\n5m0F4pq3PFKw1qCY0V/AhbiAH0jKAQAAgAIjKUfFoRaweBXyws9AYZ4WRY7+Ai7EBfzAhZ5AEcvX\nBZgAAKCwGClHxSmFWsDgkOQLEV3byk2hLvyUqCmHWyn0F8g/4gJ+YKQcKELhSeGCPG9sZD4kaX1Q\nUmHaUSjxUyQCAJBPjJSj4lAL6LDeMQpfgJsJFVLAz5PX1+8vmI8u9ZV9B9VSQX8BF+ICfmCkHIC0\nsHlEPFo6Uqm17Db2Bnj8+hscH3Bc2wAAFatkR8qNMYcZY/6fMeaxQrcFpYVawPSZmSa21C8s75Hd\nSD6epJBF88gK/QVciAv4oWSTcmvtRmvtZYVuB1BOYlMSOspZGl7PfWS3kFMeAgBQzIoqKTfGzDPG\nbDPG/CVh++nGmNeMMa8bY24sVPtQHqgFTJZ01/mFYQVfsrIzmpd0mUhExjGC5LqrfbHd6T5Q6Aag\nKNFfwIW4gB+Krab8QUk/kTQ/usEY01HSTyWdKmmrpD8YYxZba18tTBOB8hPOcZKVYE2NGnbuTNrm\n1fkBACh3RZWUW2tXGmMGJ2w+QdIb1tpNkmSMeVTS2caYbZJmSTrOGHOjtfb7rnNOmTJFgwc3n/KQ\nQw7RcccdF/uEG60JY72y1qPbiqU9+VrXxuZtqdYzPT7+8fCIEc7jMzr/6tWKZLDu9fvzI0nHGRMb\nMY8075T6+PYeb2//TI9nvSDr0W3F0h7Wi2P9Rz/6EfkE67GfN23aJC8YW2QXHbUk5Uustce0rP+n\npM9bay9vWf+ipBOttVencS5bbK8PhReJT0wrRHQ2lWgpSuJ6psd7LVryYlt+L+2te66+XpGGhlhC\nLjXP0F6fqv+IFsan278k7p/p8SiYSuwv0D7iAi7GGFlrs75yqqhGylPgfy14io60dMQuCl3u8xOF\nw60Scm4ihCj6C7gQF/BDh0I3IA1bJdXFrddJertAbQEAAAA8VwpJ+cuShhhjBhtjOku6UNLiArcJ\nJSy+FgzFLZ/TehMXcCEu4EJcwA9FlZQbY34u6XeShhpj3jLGfNla+4mkqyT9WtJaSYuYeQUAAADl\npKhqyq21F6XY/rSkp7M5ZygUUiAQoP4LMcQCXIgLuBAXcCEuEC/SMttYrooqKfdDKBQqdBMAAABQ\npqKDvzNnzszpPEVVvgLkA7WApcuY/Ut9vbfnJi7gQlzAhbiAH0jKAZSkhoZCtwAAAO+QlKPiUAtY\nuvycjYW4gAtxARfiAn4o+5pyAPtF78wJAACKS9mPlIdCIWq/0EolxkNwSDCtbZUsp7ior29d8O5H\n0TsKohL7C7SPuEC8SCTiycQiZT9SzuwrgBSeFC50E8qbq8CdoncAqAhezb5ibL5ul1cAxhhbzq8P\nyJdo2Yud0fz3VL+wXg2vt046g0OCWSf/JsWok22p24w+HltvqcLx68/btDxByv4jsQG5rgMASp4x\nRtbarOtEy758BYD3EhPyVNvSFaypSWsbAADliqQcFYdaQO/YGTY2ep6L8IgRsoFAqyU8YoQHLUwf\ncQEX4gIuxAX8QFIOAAAAFBhJOSoO88vChbiAC3EBF+ICfiApB4AUjDGxpZ4pDgEAPir7pJx5ypGI\neIBLfFwEg8lzuDcwxWFFor+AC3GBeMxTnibmKQeQqXC49dSO0SkSAQBI5NU85WU/Ug4kohYQLsQF\nXIgLuBAX8ANJOQAAAFBgJOWoONQCwoW4gAtxARfiAn4gKQcAAAAKrOwv9AQSUQtYBmavkUbulIns\n3xSsqcnpLqDEBVyIC7gQF/ADI+UASs/InUmbGnYmbwMAoFSUfVLOPOVIRDyUkbGB5sUDxAVciAu4\nEBeIxzzlaWKecgAAAPiFecqBLFELWD6sbV6iTCQSW+rXrMnoXAWJC2P2L/X1+X9+tIv+Ai7EBfxA\nUg6g9K2qSdpU1DXmwWDytoaG/LcDAFA0SMpRcagFLEPTR0hjA7KB5iUb6cSFMUbGmKzO30o4vH+Y\nP36oH0WH/gIuxAX8QFIOAO0Iuka2AQDwUNlf6AkkohYQLm3FRTgcbr3Bi9FylAT6C7gQF/ADI+UA\nAABAgZGUo+JQCwgXX+IiOrMKShb9BVyIC/iBpByA7+oX1svMNK2W+oVlPAWgqwadunQAQBvKvqY8\nFArFJnUHJGoBC6Hh9eTp/lzbCsnTuEisQUfJor+AC3GBeJFIxJNvTyoiKQdQHOyM5un/zExKOgAA\n5YE7egJZohYQLsQFXIgLuBAX8ANJOQAAAFBgJOWoONQCwoW4gAtxARfiAn4gKQdQtqIzEhoj1Zfx\nZC8AgNJHUo6KQy1gZWpoZ7IX4gIuxAVciAv4oexnXwFQuWzzZC8yt62RRu6Uiex/LFhTo/CIEQVp\nFwAAiRgpR8WhFrACjdyZtKlhZ+ttxAVciAu4EBfwA0k5gIphAwFZ/jMFABQhknJUHGoBS5eJRGR8\n+v0RF3AhLuBCXMAPJOUAil6wpiatbQAAlKqyv9AzFArFbn8KSNQClqJ8XJBJXMCFuIALcYF4kUjE\nk29PKiIpBwAAAPwQHfydOXNmTuehfAUVh1rA0lO/sF5mpmm11C/09m5AxAVciAu4EBfwA0k5gKLX\n8HrynX9c2wAAKFUk5ag41AKWLjvDys6wvpybuIALcQEX4gJ+ICkHAAAACoykHBWHWkC4EBdwIS7g\nQlzAD2U/+woA+MUYI0nyp6AGAFBJGClHxaEWEC7EBVyIC7gQF/ADSTkAz/g5ZWExstbK2iIYJ6+v\nl4xpvdSX//sPAOWEpBwVh1rA7EUT7kTBIcGkbaU2ZWFJx0WD4712bUPGSjou4BviAn6gphxAu4JD\ngklJdnwiHp4UbvWYK3FHHkRH7Q3vPwCUGpJyVBxqATOXmHSXI+ICLsQFXIgL+IHyFQAAAKDASMpR\ncagFhAtxARfiAi7EBfxAUg4AAAAUWNkn5aFQiE+0aIVaQLgQF3AhLuBCXCBeJBJRKBTK+TwVkZTz\nxwOgpDDvOACUjEAgQFIOZINvTuDiRVwYY2JLfVwSXb9mjUwk0mqpX7Mm9YmYd7xo0F/AhbiAH0jK\nAcAHDXFJdMPOncmPO7YlsXb/3OMAgLLGPOWoOJQzwSWbuIjeoyeaNtuWBNqkuHmPbXkOwyhbyaC/\ngAtxAT8wUg4AAAAUGEk5Kg61gHDJJi6oLil/9BdwIS7gB8pXAFSs+CqTE0+UVq0qXFsAAJWNpBwV\nh1pAxCyPxH78/aqazI9PUTuu2bOlkSOpHS8D9BdwIS7gB8pXAFQeVwI+Mo3ZUFqEFWx728iRSY8H\na7JI+gEAFYORclScSCTCKEelmz5C0v56cBOJSKtXS2nGxQSFWx+fMAtLlCXOSh79BVyIC/iBkXIA\nAACgwBgpR8VhdANOxx0X+7F+zZqkm/sEa2oUHjEi361CgdFfwIW4gB9IygEgQcZ34Jy9Rhq5Uybi\nX5sAAOWN8hVUHOaXhdPq1cnbxgaal/a4LhJlfsWyQH8BF+ICfmCkHADSFJvicLlaZnBpXc4SvbDT\nRK/8/OY389U0AECJY6QcFYdaQDjF1ZRHxe7YmeMUiihd9BdwIS7gB0bKAaA9rikUAQDwECPlqDjU\nAsLJVVOOikd/ARfiAn5gpBxA2WJEGwBQKhgpR8WhFrACuGrA47dNqpdCRmZm8yLJWVOeK2NMbKmv\nr/f8/PAf/QVciAv4gZFyAOUnsQa8Je9WdDKUoQ2+Pn0wGFRDQ+vnSFwHACBe2Y+Uh0Ihar/QCvFQ\nvoyJS8DTYGdY2RktmbuHNeXhcFjW2tiC0kV/ARfiAvEikYhCoVDO56mIpJyvmYDiFC0fMTON6hdm\nX94RDKa3DQAArwUCAU+S8rTLV4wxjiLNJE3W2r/l0B7Ad3xIK7zgkKAaXk8o73g9+/KOcDjXFsmX\nmnKUPvoLuBAX8EMmNeXvSnonjfPVZd8cAJUgPKl1Fh272BIAgAqVSfnKq9baw9paJO3wq6GAV6gF\nzJ9Ws5sUO+YphwP9BVyIC/ghk6R8pEf7AChzwSHJBd2ubQAAoFkm5St3GWMWWmt/m2oHa+0/PGgT\n4CtqAf2XWJ5SEqgphwP9BVyIC/ghk6R8vaQfGGP6SVok6efW2lf8aRaASla/sD6nCz8BACg1aZev\nWGt/ZK09SdIYSTslzTPGrDPGzDDGDPWthYDHqAUsfq6E3PfyF2rK4UB/ARfiAn7I+I6e1tpNkm6T\ndJsx5rOSHpR0q6SO3jYNQKVJvCg0dmMfAADKXMY3DzLGdDLGnGWMWSjpGUmvSTrP85YBPqEWsPgU\nxYWh1JTDgf4CLsQF/JDJzYPGS5ooqV7SS5J+LukKa+0en9oGoEKU5IWhAAB4KJOR8m9KelHScGvt\nmdbahSTkKEXUAsKJmnI40F/AhbiAH9IeKbfWjpMkY0wHY8xkSYdZa79tjBkoqY+19iW/GgkAAACU\ns4xryiXdI+kkSZNa1ve0bANKArWAcKKmHA70F3AhLuCHjGdfkXSitfazxphXJMlau9MYc4DH7QIA\nAAAqRjYj5f80xsSmPzTG9JbU5F2TAH9RCwgnasrhQH8BF+ICfsgmKf+JpCckHWqMmSXpBUmzPW0V\nAAAAUEGyuXnQAmPMHyV9rmXTOdbatd42C/APtYBwoqYcDvQXcCEu4IdsasplrX1V0qsetwUAAACo\nSGmXrxhjzjHGXBW3/pIxZmPLcoE/zQO8Ry0gnKgphwP9BVyIC/ghk5ryb0haHLfeWdLxksZI+qqX\njQKAcmSMkTGm0M0AABShTJLyztbaLXHrv7XW7mjZ1t3jdgG+oRYQTj7WlAeDQd/ODX/RX8CFuIAf\nMknKq+NXrLVXxa329qY5AFB+wuGwrLWxBQCARJkk5b83xlyRuNEYM1XS771rEuAvagHhRE05HOgv\n4EJcwA+ZzL7yNUn/a4yZJOlPLdv+VVJXSed43TAAAACgUqSdlFtrtxljTpY0TtK/SLKSnpK03PJ9\nLEoItYBwYp5yONBfwIW4gB/STsqNMX+y1v6rpKUtS1v7AAAAAEhTJjXlw40xf2lrkdTLr4YCXqEW\nEE7UlMOB/gIuxAX8kElN+fA09vkk24YAAAAAlSqTmvJNPrYDyBtqAeFETTkc6C/gQlzAD5mUrwAA\nAADwAUk5Kg61gHCiphwO9BdwIS7gh7STcmPMPGPMBcaYAS3rBxtjuvnXtHbb090Y87Ax5r6WudMB\nAACAkpTJSPm71trHrLVvt6x/JGmUMeZqY8xZPrStPedJ+oW19gpJhXh+lChqAeFETTkc6C/gQlzA\nD5kk5RslyRhTb4y5QdLJkiKSfirpWi8a0zIav61lesX47acbY14zxrxujLmxZXN/SW+1/PypF88P\nAAAAFEImSbmRJGttWFKtpHWSTMvdPB/3qD0PSjq91ZMa01HNif/pko6SdJExZriktyXVtexGbTzS\nRi0gnKgphwP9BVyIC/ghk3nKZxljApJekLRb0vvW2qaWx/7uRWOstSuNMYMTNp8g6Y3olIzGmEcl\nnS3pbkk/NcbUS1rsxfMDAAAAhZBJUn6zpN9LGilpsKTfG2M+lfRnSTWSHvC8dc3iy1Sk5hHyE621\nH0n6SnsHT5kyRYMHD5YkHXLIITruuONitWDRT7qss8566a1rY/O2tPdXRJFI6uOjx8TWV69WpK3j\nEx9PWG+3PYn7N++U/nri+TPdn3XWWc96PbqtWNrDemHWoz9v2rRJXjDN1SdZHmxMlaR/l3SNtfZs\nTxrUPFK+xFp7TMv6+ZJOt9Ze3rL+RTUn5VencS6by+sDUJzMTCNJsjPS+/s2zbsr2h0kHm9aOljb\n0pTlJYsAABtESURBVOEmrSce387+7bYncf+kJ2hnPemEGe4PAPCcMUbWWpPt8R0yeKLaxG3W2kZr\n7TJJ3822AWnYqv2142r5+e0U+wLtiv+EC8RQUw4H+gu4EBfwQyblK78xxmyW1CjpJUmrJP1J0omS\nekv6g/fNkyS9LGlIywj6O5IulHSRT88FAAAA5F3aI+WSJlprz5R0uZpnX/mcpAWSbpQ02ovGGGN+\nLul3koYaY94yxnzZWvuJpKsk/VrSWkmLrLWvevF8qEyBNEsMUGGYpxwO9BdwIS7gh7RHyq21a1v+\n3WuMWWutfUSSjDGd1TwbSs6stc4RcGvt05Ke9uI5AAAAgGKTyUh5vE+MMQ8YY86TNETSAA/b5KlQ\nKETtF1ohHuBETTkc6C/gQlwgXiQSUSgUyvk8mdSUx1hrf26M+ZOkL0oaK+mRnFviEy/eJAAAAMAl\nEAgoEAho5syZOZ0nraTcGDNMUpO19vXoNmvtOkm35PTsQAFQCwgnasrhQH8BF+ICfkh3pHyDpIAx\nZrykJkl/sNa+7F+zAAAAgMqRVk25tfYTa+1z1tqfWWvnSOpgjPmqMWaaMeZUY0xWZTBAIVALCCdq\nyuFAfwEX4gJ+yLam/CU1z1UeLW25tGUWlq2Sfm2t3etdEwEAAIDylnZSboz5orV2QeL2ltrydS37\n9JM0QdIiz1qYo1AoFCvAByRqAZECNeVwoL+AC3GBeJFIxJNvTzIZKf+aMeafkj6U9Edr7QeJO1hr\n31ERJeQSs68AAADAP17NvpLJPOX/ba39haQXJB1ljPmCMeZCY8xVxpiTc2oFkEfUAsKJmnI40F/A\nhbiAHzK5o+cLLf82GmO2STpV0gWSXpW0xZ/mAQAAAOUvk5ryvpImSrq4ZdPDkkZZa3f40TDAL9QC\nwomacjjQX8CFuIAfMqkp3yJpsaQp1tr/86k9AAAAQMXJpKb8G5J+Iul4Y8wlxpjJxpiAMaa7MeY/\nfWof4DlqAeFETTkc6C/gQlzAD5nUlP8wcZsxpo+kcZKmS/qlh+3yDFMiAgAAwC95nxLRGFNrrd0W\nv81a+56kJcaYPTm3xCdMiYhEfECDEzXlcKC/gAtxgXheTYmYSU35b4wxmyU1qvlunqsk/UnSiZKq\nc2oFAAAAUMEyqSmfaK09U9LlkmolfU7SAkk3ShrtQ9sAX1ALCCdqyuFAfwEX4gJ+yKSmfG3Lv3uN\nMWuttY9IkjGms6SzfWofAAAAUPYyKV+J94kx5gFJYUnrJA3wrkmAv6gFhBM15XCgv4ALcQE/ZJWU\nW2t/boz5k6QvShor6RFPWwUAAABUkExqylux1q6z1t5irb3aWvuSl40C/EQtIJyoKYcD/QVciAv4\nIeukHAAAAIA3yj4pD4VCfKJFK9QCwomacjjQX8CFuEC8SCTiyX1x2k3KjTEHtfx7gDGmY87PmGfR\nO3oCAAAAXgsEAv4n5caYb0i61Rhzp6SDJc3N+RmBAuObEzhRUw4H+gu4EBfwQ3uzr/y+Zdkn6XxV\nQLkLAAAAkG/tJdl7JU2x1n4q6XRJzxtjBkiSMeZgY0w3vxsIeI1yJjhRUw4H+gu4EBfwQ5sj5dba\nlyW93LL6rrV2ftzDH0kaY4wZLmmztXaxT20EAAAAylom5SgbJckYU2+MuUHSyZIikn4q6Vrvmwb4\ng1pAOFFTDgf6C7gQF/BDJkm5kSRrbVhSraR1koy11kp63Ie2AQAAABWhvQs9480yxgQkvSBpt6T3\nrbVNLY/93euGAX6hFhBO1JTDgf4CLsQF/JBJUn6zmmdiGSlpsKTfG2M+lfRnSTWSHvC8dQAAAEAF\nSLt8xVp7r7V2tbV2rrX2Umvtv0s6TdIiSZ19a2GOuKMnEhEPcKKmHA70F3AhLhDPqzt6ZjJSnsRa\n2yhpmTGmMeeW+MSLNwkAAABwCQQCCgQCmjlzZk7n8eRmQNbaP3hxHiAfqAWEEzXlcKC/gAtxAT9w\nh04AAACgwEjKUXGoBYQTNeVwoL+AC3EBP5CUAwAAAAVGUo6KQy0gnKgphwP9BVyIC/iBpBwAAAAo\nMJJyVBxqAeFETTkc6C/gQlzADyTlAAAAQIGRlKPiUAsIJ2rK4UB/ARfiAn4gKQcAAAAKrOyT8lAo\nRO0XWiEe4ERNORzoL+BCXCBeJBJRKBTK+Tydcm9KcfPiTQIAAABcAoGAAoGAZs6cmdN5yn6kHEhE\nLSCcqCmHA/0FXIgL+IGkHAAAACgwknJUHGoB4VSAmnJjjIwxeX9epI/+Ai7EBfxAUg4AAAAUWNlf\n6AkkohYQTgWoKbfWNv/AaHnRor+AC3EBPzBSDgAAABQYSTkqDrWAcGKecjjQX8CFuIAfSMoBAACA\nAiMpR8WhFhBOzFMOB/oLuBAX8ANJOQAAAFBgJOWoONQCwomacjjQX8CFuIAfSMoBAACAAiMpR8Wh\nFhBO1JTDgf4CLsQF/FD2SXkoFOJrJgAAAPgiEokoFArlfJ6KSMr5RIt4fEiDEzXlcKC/gAtxgXiB\nQICkHAAAACgHJOWoOHxzAidqyuFAfwEX4gJ+ICkHAAAACoykHBWHWkA4FUFNuTFGxphCNwNx6C/g\nQlzADyTlAAAAQIF1KnQDgHyjFhBORVBTbq1t/oHR8qJBfwEX4gJ+YKQcAAAAKDCSclQcagHhVAQ1\n5Sg+9BdwIS7gB5JyAAAAoMBIylFxqAWEUxHUlKP40F/AhbiAH0jKAQAAgAIjKUfFoRYQTtSUw4H+\nAi7EBfxAUg4AAAAUGEk5Kg61gHCiphwO9BdwIS7gB5JyAAAAoMBIylFxqAWEEzXlcKC/gAtxAT+Q\nlAMAAAAF1qnQDQDyjVpAOBVhTbkxRpJkC9yOSkZ/ARfiAn5gpBwAAAAoMJJyVBxqAeFUhDXl1lpZ\nyzh5IdFfwIW4gB9IygEAAIACK/ukPBQK8YkWrVALCKcirClH4dFfwIW4QLxIJKJQKJTzecr+Qk8v\n3iQAAADAJRAIKBAIaObMmTmdp+xHyoFEfHMCpyKsKUfh0V/AhbiAH0jKAQAAgAIjKUfFoRYQTtSU\nw4H+Ai7EBfxAUg4AAAAUGEk5Kg61gHCiphwO9BdwIS7gB5JyAAAAoMBIylFxqAWEEzXlcKC/gAtx\nAT+QlAMAAAAFRlKOikMtIJyoKYcD/QVciAv4gaQcAAAAKDCSclQcagHhRE05HOgv4EJcwA8k5QAA\nAECBkZSj4lALCCdqyuFAfwEX4gJ+ICkHAAAACoykHBWHWkA4UVMOB/oLuBAX8ANJOQAAAFBgJOWo\nONQCwomacjjQX8CFuIAfSMoBAACAAiMpR8WhFhBO1JTDgf4CLsQF/EBSDgAAABQYSTkqDrWAcKKm\nHA70F3AhLuAHknIAAACgwEjKUXGoBYQTNeVwoL+AC3EBP5CUAwAAAAVGUo6KQy0gnKgphwP9BVyI\nC/iBpBwAAAAoMJJyVBxqAeFETTkc6C/gQlzADyTlAAAAQIGRlKPiUAsIJ2rK4UB/ARfiAn4gKQcA\nAAAKjKQcFYdaQDhRUw4H+gu4EBfwQ8km5caYw4wx/88Y81ih2wIAAADkomSTcmvtRmvtZYVuB0oP\ntYBwoqYcDvQXcCEu4IeCJ+XGmHnGmG3GmL8kbD/dGPOaMeZ1Y8yNhWofAAAA4LeCJ+WSHpR0evwG\nY0xHST9t2X6UpIuMMcONMZONMT80xvQrQDtRJqgFhBM15XCgv4ALcQE/dCp0A6y1K40xgxM2nyD9\n//buPka2u6wD+PcpTVGIWEFeohZrtJWi1aqkVUDZWF6qjZbojbyqVC1U0yL+Q42pcTdRQuMf+FKj\nYgM2TWgLRKSVNgUli8USpNaLQEtCgYsFA0GlCQQDlP78Y+e2w/Z3u7t39+yZnfP5JDeZc+bMmd9u\nnn3ud2aePZu7W2tHkqSqrktyQWvttUmume17bJLXJDmrqi5rrV3RO//LXvaynHrqxulPPvnknHXW\nWQ/8MB39+Mm2bdsHbzuf3Ni37eOznvX1Yz8+hw9nff74zdubH7/F8VuuZ/PxGwdtf3vz+Xd6vG3b\ntm3b3tX20dtHjhzJXqjW2p6caFeL2AjlN7bWzpxtH0ryvNbaRbPtlyY5p7V26Q7P2xbh62OxrM8H\nMQ6kWqskSfuD7f1818bhOdoONj++1teTw4fTXvWqB7eTtFmdPOTxm+/ftL3lejYf/5An2GL7ISfc\n4fFsm35Bj7qgp6rSWqvjffwJe7mYPeR/EgAAJmNRQ/lnkpwyt31Kkk+PtBaWjHc36DJTTod+QY+6\nYAiLGspvT3JaVZ1aVScleUGSG0ZeEwAADGL0UF5V1ya5LcnpVXVPVV3YWrsvySVJbklyZ5LrW2t3\njblOlsf8L2jAA1ynnA79gh51wRAW4eorLzrG/puT3Lzb86+urmZlZcVHTQAA7Ln19fU9eaE2eigf\n2urq6thLYMF4gUaXmXI69At61AXzjr75u7a2tqvzjD6+AgAAUyeUMzlmAekyU06HfkGPumAIQjkA\nAIxMKGdyzALSZaacDv2CHnXBEIRyAAAY2dKH8tXVVbNffAP1QJeZcjr0C3rUBfPW19f35Gp/LokI\nAADHySUR4TiZBaTLTDkd+gU96oIhCOUAADAyoZzJMQtIl5lyOvQLetQFQxDKAQBgZEI5k2MWkC4z\n5XToF/SoC4aw9KHcJREBABjKXl0ScRKh3Cta5nmRRpeZcjr0C3rUBfNWVlaEcgAAWAZCOZPjkxO6\nzJTToV/Qoy4YglAOAAAjE8qZHLOAdJkpp0O/oEddMAShHAAARiaUMzlmAekyU06HfkGPumAISx/K\nXaccAIChuE75NrlOOZt5kUbXAZgpr6oH/p1//vljL2cS9At61AXzXKccYMJuuummsZcAwB4Sypkc\nn5zQdQBmyltraa2NvYxJ0S/oURcMQSgHAICRCeVMjllAug7ATDn7T7+gR10wBKEcAABGJpQzOWYB\n6ToAM+XsP/2CHnXBEIRyAAAYmVDO5JgFpMtMOR36BT3qgiEsfSj3Fz0BABjKXv1FzxN3v5TFthff\nJJaLWUC6zJTToV/Qoy6Yt7KykpWVlaytre3qPEv/TjkAACw6oZzJMc5El5lyOvQLetQFQxDKAQBg\nZEI5k2MWkC4z5XToF/SoC4YglAMAwMiEcibHLCBdZsrp0C/oURcMQSgHAICRCeVMjllAusyU06Ff\n0KMuGIJQDgAAIxPKmRyzgHSZKadDv6BHXTCEpQ/lq6urfngAABjE+vp6VldXd32eE3e/lMW2F98k\nlotZQLrMlNOhX9CjLpi3srKSlZWVrK2t7eo8S/9OOQAALDqhnMkxzkSXmXI69At61AVDEMoBAGBk\nQjmTYxaQLjPldOgX9KgLhiCUAwDAyIRyJscsIF1myunQL+hRFwxBKAcAgJEJ5UyOWUC6zJTToV/Q\noy4YglAOAAAjE8qZHLOAdJkpp0O/oEddMAShHAAARiaUMzlmAekyU06HfkGPumAIQjkAAIxMKGdy\nzALSZaacDv2CHnXBEJY+lK+urvrhAQBgEOvr61ldXd31eU7c/VIW2158k1guZgHpMlNOh35Bj7pg\n3srKSlZWVrK2trar8yz9O+UAALDohHImxzgTXWbK6dAv6FEXDEEoBwCAkQnlTI5ZQLrMlNOhX9Cj\nLhiCUA4AACMTypkcs4B0mSmnQ7+gR10wBKEcAABGJpQzOWYB6TJTTod+QY+6YAhCOQAAjEwoZ3LM\nAtJlppwO/YIedcEQhHIAABiZUM7kmAWky0w5HfoFPeqCIQjlAAAwMqGcyTELSJeZcjr0C3rUBUMQ\nygEAYGRCOZNjFpAuM+V06Bf0qAuGIJQDAMDIhHImxywgXWbK6dAv6FEXDEEoBwCAkQnlTI5ZQLrM\nlNOhX9CjLhjC0ofy1dVVHzMBADCI9fX1rK6u7vo8kwjlXtEyz4s0usyU06Ff0KMumLeysiKUAwDA\nMhDKmRyfnNBlppwO/YIedcEQhHIAABiZUM7kmAWky0w5HfoFPeqCIQjlAAAwMqGcyTELSJeZcjr0\nC3rUBUMQygEAYGRCOZNjFpAuM+V06Bf0qAuGIJQDAMDIhHImxywgXWbK6dAv6FEXDEEoBwCAkQnl\nTI5ZQLrMlNOhX9CjLhiCUA4AACMTypkcs4B0mSmnQ7+gR10wBKEcAABGJpQzOWYB6TJTTod+QY+6\nYAhCOQAAjEwoZ3LMAtJlppwO/YIedcEQhHIAABiZUM7kmAWky0w5HfoFPeqCIQjlAAAwMqGcyTEL\nSJeZcjr0C3rUBUMQygEAYGRCOZNjFpAuM+V06Bf0qAuGIJQDAMDIhHImxywgXWbK6dAv6FEXDEEo\nBwCAkQnlTI5ZQLrMlNOhX9CjLhiCUA4AACMTypkcs4B0mSmnQ7+gR10wBKEcAABGdmBDeVVdUFWv\nr6rrquo5Y6+Hg8MsIF1myunQL+hRFwzhwIby1trbW2svT3JxkheMvR4OjsPCFz133z32ClhA+gU9\n6oIhjB7Kq+oNVfW5qvrQpv3nVdVHq+pjVXXZw5zi8iRXDrtKlsm999479hJYRF/60tgrYAHpF/So\nC4YweihP8sYk583vqKpHZCNon5fkqUleVFVnVNUvV9Xrquo7asMVSW5urR3Yl6xDfgS2F+c+nnPs\n5DFbHbub+w/yx4tTrottHffJ4z/HQa2L9aHPvwR1McV+MfS61cX21rFo1MXWxy1iXYweyltrtyb5\nwqbdZye5u7V2pLX2tSTXJbmgtXZNa+13Wmv/leTSJOcmOVRVr9jfVe+dKYev7Rw7xA/NkSNHHvac\ni2DKdbGt444c/zmOed9nP7v1845ofejzL0FdTLFfCF9bH6cuFvP8y1gXu1WttUFOvKNFVJ2a5MbW\n2pmz7UNJntdau2i2/dIk57TWLt3hecf/4gAAmITWWh3vY0/cy4XsoT0J07v5xgAAwH4ZfXzlGD6T\n5JS57VOSfHqktQAAwKAWNZTfnuS0qjq1qk7KxiUPbxh5TQAAMIjRQ3lVXZvktiSnV9U9VXVha+2+\nJJckuSXJnUmub63dNeY6AQBgKAvxi54AADBlo79TDgAAUzepUF5Vj66qq6vq9VX14rHXw2Koqu+p\nqquq6i1jr4XFUVUXzHrFdVX1nLHXw2KoqqdU1V9W1Vuq6uKx18PimGWMD1TV+WOvhcVQVStVdeus\nZzxrq+MnFcqT/EKSN7fWXp7k58deDIuhtfbJ1tpvjL0OFktr7e2zXnFxNn7ZHNJa+2hr7TezURPP\nGHs9LJRXJ7l+7EWwUO5P8sUkj8w2riJ44EN5Vb2hqj5XVR/atP+8qvpoVX2sqi6b7f7OJPfMbn99\nXxfKvtphXTARx1kXlye5cv9WyX7baV1U1c8l+YckN+33Wtk/O6mL2adpdyb5/BhrZf/ssF/c2lr7\n2SS/m2Rtq3Mf+FCe5I1JzpvfUVWPyMZ/oucleWqSF1XVGdl4lXL0+ufL8LVzbDupC6Zj23VRG65I\ncnNr7fD+L5V9tKN+0Vq7cfYf7Uv2e6Hsq53UxbOS/HiSFye5qKr88cLlte26aA9eTeXebLxb/rAW\n9S96bltr7daqOnXT7rOT3N1aO5IkVXVdkguS/FmSK2fzXq57vsR2UhdV9bkkr0lyVlVd1lq7Yj/X\nyv7ZYb94dpJzkzymqr6vtfbX+7hU9tEO+8UTsjEK+cgk79jHZbLPdlIXrbXLZ9u/muTzzaXtltYO\n+8VTkjwvyclJ/nyrcx/4UH4M82MqycY75Oe01r6c5NfGWRIL4Fh18b/ZmBtmmo5VF5dmG02UpXWs\nunhPkveMsyQWQLcujm601q7e9xWxCI7VL16b5G3bPcmyjnB4hUqPuqBHXdCjLuhRF/TsSV0sayj/\nTB6cHc/s9pa/9crSUxf0qAt61AU96oKePamLZQ3ltyc5rapOraqTsnHpKjPkqAt61AU96oIedUHP\nntTFgQ/lVXVtktuSnF5V91TVha21+5JckuSWbFyi6PrW2l1jrpP9pS7oURf0qAt61AU9Q9ZF+QVh\nAAAY14F/pxwAAA46oRwAAEYmlAMAwMiEcgAAGJlQDgAAIxPKAQBgZEI5AACMTCgHYEuzv1T3f1V1\nx9y+J1bVm6rq41V1e1XdVlXP3+I8H6+q0zft+5OqenVVPbOq7qyqDw31dQAsKqEcYAKq6sQ9OM3d\nrbUfnZ2vkvx9kvXW2ve21p6W5IVJvmuLc1w3O+7ouk5I8otJrm2tvTfJz+zBOgEOHKEcYMFU1Uur\n6v1V9e9V9Vez4Jqq+lJV/WFVHa6q91XVE2b7H19Vb62qf539e/ps/2pVXVNV701ydVV9e1W9q6o+\nXFV/U1VHqupxVbVWVb899/x/VFWv3GKZP53kK6211x/d0Vr7z9balbNzPKKq/ni2ng9W1ctnh12b\n5AVz5/mpJJ9qrd1z9OmP/zsHcHAJ5QALpKrOSPJLSZ7eWvuRJPcnecns7kcleV9r7awk/5zkotn+\nP03yutba2UkOJblq7pRPSXJua+0lSVaT/GNr7QeTvDXJk5O0JG9I8iuz5z8hG6H5mi2W+gNJ7niY\n+389yb2zNZ2d5KKq+u7W2oeT3F9VPzQ77oVJ3rTFcwEsvb34OBOAvXNukh9LcvvGhEi+OclnZ/d9\ntbX2jtntf0vynNntZyc5Y3Z8knxLVT06G4H7htbaV2b7n5Hk+UnSWrulqr4wu/2pqvqfqjoryZOS\n3NFa+8IW62zzG1V1ZZJnztZ4dpLnJjmzqg7NDnlMktOSfCob75a/sKo+kuSCJL+/9bcFYLkJ5QCL\n5+rW2u919n9t7vb9ebCHV5JzWmtfnT94FtK/vOkcxxoPuSrJhUmemI13zrfykWzMgidJWmuXVNXj\nktw+d8wlrbV3dR57XZJ3JnlPkv9orX1+G88HsNSMrwAsln9KcqiqHp8kVfXYqnryFo95Z5IHZsCr\n6oePcdy/ZGM0JlX13CTfNnff25Kcl+RpSW7ZapGttXcn+aaqunhu96Pnbt+S5LeO/oJpVZ1eVY+a\nPfYTSf47yWtjdAUgiVAOsFBaa3cluTzJO6vqg9kI3E86evf8oXPbr0zytNkvVH4kySs2HXfUWpLn\nzi45eCgbYzFfnD3v15K8O8mbW2vfMJryMJ6f5FlV9Ymqen+Sv03y6tl9VyW5M8kds+f7y3zjp7PX\nJvn+JH+3zecCWGq1/d4LwEFWVScl+Xpr7etV9RNJ/mLuEocnZGNO/VBr7eOdx56a5MbW2pkDr3Ff\nngdg0XinHGA6npzkA1V1OBtXbLkoSarqqUk+lo0rszwkkM/cl+Rb5/940F6rqp9MckMSM+bA5Hin\nHAAARuadcgAAGJlQDgAAIxPKAQBgZEI5AACMTCgHAICR/T+yG65tTV+9PAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcb956c6890>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import modules.spectrum\n",
"modules.spectrum.drawSpectrum([\"Dominguez\",\"Finke\",\"Gilmore\",\"Kneiske 'best fit'\",\"Kneiske 'lower limit'\"])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On the other hand the extragalactic light (EBL) can affect the absorption of the gamma-rays. Figure \n",
"shows the spectrum Acomputed for a source emitting isotropically with a spectral index of 2 at a \n",
"redshift z=2 using 6 different EBL models \\citep{franceschini_extragalactic_2008,\n",
"dominguez_extragalactic_2010, finke_modeling_2010, kneiske_lower-limit_2010,\n",
"gilmore_semi-analytic_2011}. Differences only appear at energy up-to 1TeV and are due to the \n",
"probability of gamma-rays absorption. Then the model chosen will impact the cut-off energy\n",
"with respect to the results shown in Target_spectrum_and_absorption.ipynb.\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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oC6SBphwAAADIGJlyAEDhkCkHkDdkygEAAICCoylH6ZAFRAh1gRDqAiHUBdJQ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\nEdFifwERllDqL7kkbwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5bf0e0d2d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import modules.spectrum\n",
"modules.spectrum.drawSpectrum([\"all approx\",\"all approx 2\"])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Considering BL Lacertae$^*$ blazar spectrum\n",
"\n",
"mean spectrum found in Sanchez 2013 (A&A): Evidence for a cosmological effect in γ-ray spectra of BL Lacertae"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/lib/python2.7/site-packages/IPython/kernel/__main__.py:17: RuntimeWarning: divide by zero encountered in double_scalars\n",
"/usr/lib/python2.7/site-packages/IPython/kernel/__main__.py:17: RuntimeWarning: invalid value encountered in multiply\n"
]
},
{
"data": {
"image/png": 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D0Mrr2Pr9yRDY3jb99aq8tsvHTv19XPY9rT8vCAIFQAFQgX6AyKE/p8jzmuBy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\naAjFOAAAANCQ/wdhyIKHxvGttwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fd51b0841d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show\n",
"from numpy import arange, select\n",
"from modules.read import ReadSpectrum, ReadSourceSpectrum, ReadProfile\n",
"\n",
"ax = figure(figsize=(12,9)).add_subplot(111)\n",
"colors=['k','b','g','r','c','m','y']\n",
"i=0\n",
"for fileId in [\"z=0.0308\",\"z=0.1\",\"z=1\"]:\n",
" ener,dNdE,dNdE0,dNdE1,dNdE2 = ReadSpectrum(fileId,[0,1,5,6,7])\n",
" z=ReadProfile(fileId,[3])\n",
" p = ax.plot(ener,ener**2 *dNdE*(1+z),drawstyle='steps-mid',color=colors[i],label=fileId)\n",
" ax.plot(ener,ener**2 *(dNdE1+dNdE2)*(1+z),color=p[0].get_color(),drawstyle='steps-mid',linestyle=':')\n",
" ax.plot(ener,ener**2 *dNdE0*(1+z),color=p[0].get_color(),drawstyle='steps-mid',linestyle='--') \n",
" \n",
" Es,Fs = ReadSourceSpectrum(fileId,[0,1])\n",
" Fs *= dNdE[0]/Fs[0]\n",
" #ax.plot(Es,Es**2*Fs*(1+z),color=p[0].get_color(),linestyle='-')\n",
" \n",
" i+=1\n",
"\n",
" ax.legend(loc=\"best\")\n",
" ax.set_xscale('log')\n",
" ax.set_yscale('log')\n",
" ax.grid(b=True,which='major')\n",
" ax.set_ylabel(\"$E^2 dN/dE$ [GeV]\")\n",
" ax.set_xlabel(\"energy [GeV]\")\n",
"\n",
"ax.set_xscale('log')\n",
"ax.set_yscale('log')\n",
"ax.grid(b=True,which='major')\n",
"ax.set_xlabel(\"energy [GeV]\")\n",
"ax.set_ylabel(\"$n$ [photon.eV.cm$^{-3}$]\")\n",
"show()\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
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