Impact parameters - spectrum.ipynb 213 KB
{
 "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)\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": 2,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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bYDCYeb9x0S93xRi7uDU9foPBUbVw7k/10HhcfJv79L5VLPsnn57rrONU+Tny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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4b56e0ea10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import modules.spectrum\n",
    "modules.spectrum.drawSpectrum([\"Gamma=1\",\"Gamma=1.5\",\"Gamma=2\",\"Gamma=2.5\"],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": 6,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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d1/ZlAEBTcv6B/aCAySFTPiLJ9cYl1hzPG7J2wGSRKS8G8uVx8DmXPTLlE9bt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\nLmoXG/WLjfrF02g0VK/Xh36c0jTltVo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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f388f46bd50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import modules.spectrum\n",
    "modules.spectrum.drawSpectrum([\"z=0.0308\",\"z=0.1\",\"z=1\"])"
   ]
  },
  {
   "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": 5,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AgHeig9voIHDYFojDxE2yMMzzdpttB+A/BuVwFjMFfqN+/vKtdlkMqPPKNg/z\nvIs9xrf6IY76lReDcgCAM4ZZCMhiQT+lzdcDZUGfcjiLXq1+o37+yrN20X7k9CIfTqt+rUFv6xLO\nhJk+T6tDjJk2Q71DUd9aH673fBBIxiy8hInPLwx73+YwfnaWFzPlgIuSu3gCyIXP+e1xLCqNGja/\nP7Jem6iZxOfX2nit222AgxiUw1mlztVFf5l4qtT189y4a+dTr2qXz62XQevXrWNNlp+3Cy0bfcLP\nzvJiUA4AmCja57klOePdqybDtpscZkbdpz/cgKyQKYezSpWri2YfjSlEZKVU9SuYItUuDEMZY2SM\nUehRrngUWdYvmhuXFMuAj3OgXOa1BUV6/WEwzJQDLihAXAUYxrgz241GQ3b+tWVMvR0tDoLe0eQy\nSBspyS03PozWAtDodcAjDMrhLHJ1fqN+/sq6dv1iD5ONJYSSmoO2116ry5jOeaQdpIdhqMb8Imxj\n6rI2WPTx0ccEQaD6mP8aSFM/rwbbaRXkryx+dpYXg3IAwFi5tMtma9Y8OlCWpEaj+/kl7xcEQWTm\nPV1zj0bju2r+QSA1GsUYOHqn2yx6QQbxKA4y5XAWuTq/UT9/uVK7aB9rzaidDe+XD49myI0xCnpE\nGOr1uqy17UuvY0iK3W+4We5Q1rYG8OPPtbtSP6fU62oXwdpOy1kHUb/yYqYcAJC5rNvgRbPhktoD\n5sXu11pDLaWPGCePAbfQmQVFxaAczip8rq7gGwQVvn4FlkXtho2s9M5fH0lERGyqRZuDrKFuDfR7\nza6nfXzrGOPOjvcyav3GERvKUtFbavKzs7wYlAN5oeMKsEC8W0p0wBXGXi7RwXuvPPighpkd75yj\nTTWT74NRZ55d2QWVGXX4hkw5nEWuzm/Uz18+1C6aCc+TC+eQlHf9omsBxt3PvB9fe53nXT/kh5ly\nAID3Ro2eJJtzRD9elCYdrsdSgLJjUA5nkavzG/Xzl4+167Q6HG7/mF4D77QplIWD+iOpHjeOHua9\n6udrfMOVOMyk+Pj6QzYYlAPjFF3MmVTAxZ3AoJJ9wKO7bqYd2EaNe6lGr/XZybG0MelaH/bO0JdP\nr5n8LP6YSA7s3QocAU1kyuGsQuTqWiOEbpeivCfeQyHqV1Ljrl2/PuDWBhPt6T2o6Eva1Zewr6+9\naBY961n9ZM7dZb7WD6NjphwAMJRodwtpYYeLaM47GsvwqQ94t40g04p2ZoGnkm+NuPqXGArB+PKD\ncVjGGFuPC0aRAAAgAElEQVT0zxEOi+7DDRSMmTaxWcfYIP2oZHd0YhnJdoG9fi4v3Lo+2nKwx3kk\nHuPCS67XWC55ftGvRb+vSxElo0vDZOqT34Npb0v9jeLiNxecNf8aHjqHxkw5ACATC2bJdzT/HwRB\nLC8dz43HJWeiOwPWTE917IaZUI1+nfLcfGhS+u3SOo4FsIDryJTDWeTq/Eb9/JV17aI9xZO58ZIt\ntZDU/IOkdYkvZq2rGXWxajS+G3tUq6uMMc3/91OE115rwG6tjc2mZ6U+pfRf0AkrQv0wHG8H5caY\nijHmKWPMPcaYi/M+HwBAPlq5b2N8aGq0MvZHSHQxa3QRaXKRa/S2MYxRS2flNvEFhXN8jq8clzQr\n6cckvZjzuWAM6NXqN+rnL99qV/zZ9cH4Vr+sdFt43Eu0RaJrKfGy1g8ODMqNMX8m6aOSfmSt/dnI\nx6+Q9AeSTpC0y1o7k3joU9bavzHG/BtJvy/pE5M6Z6CvXo2MAWCBeruneRY/LsqcxW7MNVK3O4y1\nXKx6tmABheVCfOU+SVdEP2CMOUHS5+Y//lOSPm6MOdcYs9EYs9MY895IS5XX1JwtR8F4m6vzoZHx\nBHhbP2Reu2ge2o+IySSt7PHjoj7U16zRaGjfvn1jy2K7INnnvmj42Vleuc+UW2ufMsasTnz4FyV9\n11p7WJKMMXskfcxau0PS7vmPXSPpckkrJP3RpM4XAIoo9tb/9yX99eKPMXPxgVGvmdlx77Lpk2Qn\nmqDnaHvlkO0Rj+iSS/5z+/9FFNsFdbqYA3OUU+6D8h7OkPSDyPUXJV0YvYO19q8k/VWag23evFmr\nV6+WJK1YsULnn39+O7PV+ouU6+5dr1QqTp3PQNclt86H+nF9keuNuYb2XbyveX17/PYNGza0Z11P\nPfVUzc7OSmq2sNu3b1/7eMYY1Wq1+etHZEzz8UEw3PlJNdVqbnx9srr+0EMPLbi9Je3xWj9het1u\nbfO6Mf/Z6a9f62O9rvf6+sSufz/yge93f/yi1xPH73l784POfP24nv/1gwcP6rXXXpMkHT58WKNy\nYvOg+ZnyL7cy5caYayVdYa29ef76JyRdaK39tSGOzeZBGD92fYPn+m7C0mODm+RmN/HNYHpv9pP6\nnEq8b8uwX1ufvmb9NpXq930Wu22bkU5ufjy5o+wAJ9L7C2WMTLX5X1uV219Q5G7UzYOWZHkyGfon\nSe+LXH+f6LBSOslZEaeRI1/Aq/ohZtjaRfuRZ8GvVofZasVcotnp6Nc2eluY6LM9qddeNNudPIeJ\nmZHsdiu73Q43IE+hdfxJ4Wdnebk6KP+mpJ8wxqw2xpwk6VckPZrzOQEAYo7EFiNmvZizXi/v37rJ\nDZeSWf3obZJig/dJGX2Dn/j3T14Z+KE2EkquXnZsAyL4Kff4ijHmC5IulrRS0o8kfcZae58x5iPq\ntES811p755DHJ76C8XP9fWJgEWnjK1lHVDC4RdIWE4uv9IuYREW/Z4ypy9rWX2x1WdsZzMbPPWV8\npc/zpv48ot/7yS9ary9o8n5EGKHR4yu5L/S01n68x8e/IukrEz4dIJ3oD2CpfO+toxCiHVf6bbQS\nFZ2xLWhHOu+Mc2uELMaasW4psXHtSrm3dc+Qol8YXhgYkqvxFcDtXF00Q17G99ZTcLp+kNTZbMVu\nt9JMpy/2smW1vE8NA0guaRn1tRdNZkjsRj9p/Owsr9xnygEA47PkU0tkp+ZnKeeMjt95vOv9mgOu\n5ijsjTf2Tejs4KJS95VvrS6eV5+SSItjUkoxU16tVvnL00PR3rXwD/Vzg52y7dnw1uC8533bCwd/\nzokFeBjOoK+9aBeVou6SmVp0dbG1Wrlt8qfAz07/1Go1VavVkY9TipnyLL5QAOCL2O6cR4c5wsrE\nwjrmCosmuvgyCIJEvdUenCd3ae21G2l0p9JeO7sOK/0uqEA+KvMb5k1PT490nFLMlMNPvLvhN+qX\nn3hWvP99OzPi/QLD9djMeVl7h/si+trr1c+80fiumossraSFA+herQ57t2mst4/32mvfiz3vcIPo\nI5F3avq3hywafnaWVylmygEA3XUmSDsDp1NPPXXBzGTRB0JFlWwl2BHGuvsNI9mZpXO8+Mz7kEcf\n+Py6NcUa57etme5+YmWN42N0DMrhLOdydePsO1ZAztUPkhIDs2r3+8zOzk7kXDAerddeYs2isl4b\nkHZBaHywXFeWSyfj0ZZ43/xxx+N77vJZHe2J+dlZXgzKgbRK3ZIARRBMBWpUI1OJR/njssiSs8S9\n1gYkB+9ZzzlEf3SG4Y+3o1JZZMPpm48iIVMOZ5Gr8xv1y1e3PG99a73TiWW+N3k31M5vg9Yv0XBk\nrJGPer0+1mz4qF1kwplQZtq0L9FNtepTai+oqE9ldMJd8PorL2bKAaCARs/0Am7qt8tosovMoFqL\npLtZua0TWVk5bciOI3OlGJRXq9V2uxr4g3r5jfr5i9q5bbG4SdHrF43DZBFZCaaC9qLN6Mx4Xope\nvyKq1WqZvMNhij6bYoyxRf8cMUb9pmQAR5lp03sRWvR+hmUSZRKtd9raG2Pas8/Jx/Q6Rtr7pT2/\nfsdLe78sRF9XfV9jvLBKa/71MvSfimTK4SwncnWtKZlxBy0LyIn6lUQyBzvchkEd1M5vWdav1d2k\n9Dt9ThCvv/IqRXwFAIpgyaeWyE7Nz9TNGR2/87ikhTlYY4y0I5dThOOi7QPTiC7GDMPxdmlpblIV\ntv+fZetEwAfEV4CoSe8+AQyg19vnZtrEeo5HN/vpl8DiXfZyGSa+MurzDPJc8ahMutjMJOMr4Uyo\nxtx8O8epQPWtPX438MIqrVHjK8yUA1H0Ioenek0+ZL0oDiirnoNwICNkyuEscnV+o37DCcMw1mt5\nmL7LrZiBMcNFDKid3/KuX6s7zCjfg66LvsaMaV7PSt71Q36YKQcAhzQajZ6z3q22bZKko5HriYWd\nvd7wGffOjYDkVuKv9cdsNNKVheRrjHehkAUy5QBtD+GQaJZ2wW3TRqq2bqvL2rDrY4i0optJZcqH\nlXWmPL5EqPN6GVbq9RkufnExEbREBEZF20N4pPWtSmcKDCoaKynDuyT1errXSzQyFvbJofCrAuNW\nikF5tVolo+UhauY36je6hf3H4yOp1kAiyHiERe381qt+0UGqi4PKaE/06Pf0uDPqrciYtVaNaPct\nxQfsk8Lrzz+1Wk3VanXk45QiU57FFwoAJmKrYlt+x/uPK9Z/vPX2/vj7RwPj1yvznc0fENEe6OmT\nitE1HuTG0UulUlGlUtH09PRIxyFTDpD/g0P6bd+dNksLlEXa10G/dRfR25YsacjaIHK/ho4fD1Ic\nn0w56FMOAACQCWuDxKJS3nbC5JQiUw4/kavzG/WLS7uYzAXUzm/Uz2/Ur7yYKQeACYhnU9O9uxlv\n6UZWHMhKvGf/kZT3q4uuRxgnMuUon24jHRdbEaBQzDYjndzjtjkju2P+51RV7Ux52gwrEVaU1bCZ\n8nEegxdkeZEpBwbVa7tDYAhhGLbbqPXdNfDk6GA7sehsm5Gq8/+fC9ozc8yMA/1FZ7J5vcB3ZMrh\nLHJ1fitL/fr1OO4l2o/ZGKPgT5qtD+12K7ujnqqX9Dg3gilL7YqqTPXLpvd63alNlcpUP8QxUw4A\nE9ZzNn2gY2RwIkBJpX6HK8Xjm3j3FaMjU47yIe+HDEWjKMlYSuwXd1VStfv3XXRZA9+eQPYW9inv\nnQ9Pc4x+fc95EZfXqJnyUsRXqtUqbweVXWvLQ1fen0QpRKMtUudt9uRF4tsTAHxVq9Uy2T2emXI4\nq1arqVKpZHMwZi4mLtP6Oaz/7Fnktj47dbqmLLUrKuq3kE8z5dTPX3RfAXqJtj5k+hET0FrAGb0O\noHzMdPPnQDAVqL6VBSBIh5lyFBez4xiD5AIvs83ITjW/z/r9AvZpphwomixmyvstDo39uolMCNWn\npPAor/uyYKYcACYoujOnFB9shzNhe4ZMYpYMcEUW72Kl7tASuV+YcvdeQCrJQk/4icW5fits/bY2\nB+KtSzDV+eVe31rv9Bvf3smSm2kjHfUnylLY2pUE9VuoXq+3F11bazNpS9pLGIbtPQiGQf3Ki5ly\nABhEZGfOxURnyY2RtGNM5wTAGbF305gpxwDIlKO4yJRjBL3yo8Nmw/l2BIor+vqO5dV54ZcKmXIA\nGIPobNewb0MDAJAWmXI4a+BcXXSDIHZhyV1ZcpHRb7swzPtsslGW2hUV9fMb9SsvZspRHI0GbxNi\nIqIT50EQ35UTAIBhpM6UG2PSzAEdt9a+NtopZYtMeYmQ3UMXyb7iyf7CvfTava9fprzftyDfnkBx\nkSmHNNlM+cuSXkpxvPcNezIAkLUFfcWZzgYAOGiQTPmz1toz+10kHRnXiaJ8yNX5rUj1a208stiA\nPgjiyxp8XeJQpNqVEfXzG/Urr0EG5b+U0X0mrlqt8k1eVNFVdj6NeuCV6MYj/e/XfKe622WMe5UA\nAHJUq9VUrVZHPs4gmfK7JT1ord0/8rNOEJnygiOvh0XE8p3q3X88bfZ82D7lAIqLTDmk0TPlg8yU\n/z+SPmuMecEY878aYy4Y9kkBIC/RWe/oILyVPZ/ENtwASqqIPVSRmdSDcmvtH1hrPyDpYkl1SX9m\njHnOGLPdGPOTYztDlBaRI7/5Xr9wJpSZNjLTRuFMuX55+l67sqN+Dmu17rW2+f8uqF95Dbx5kLX2\nsLV2h7X2AknXSbpG0rOZnxkAjFl0AWeQWJPQmGvIbrey260ac91/eQIAkJXUmfL2A4w5UdJ/q+aA\n/FJJ+yR9wVr7SPanNzoy5QVHXg+LSGbKUz8ukh3v9X8AkAbIlMfvyO+vgplYn3JjzL9VcyD+UUnf\nkPQFSVustW8M++QAkJVeCzhTP34mjM2IB1PxmfN2N8TqKGcJAEB3g8RXtkn6O0nnWmuvtNY+yIAc\n40Suzm+Trl90oWajR1az7+PnGlLVdi4zkUH90UCqGqlqFgzWi4jXnt+oXx7q7fWbyS1bWhG5tBuX\nUb/ySj1Tbq1dL0nGmCXGmI2SzrTW/q4x5r+RdLq19hvjOkkAmITku8xtM3XeZQbQx8p2ZMWY+MJw\n2/MHCxA3TKb8jyUdl7TeWnuOaX73/Z/W2p8fxwmOikx5AYVhZ9V6ELArCyTFc5y9/p8Ui6wcDWR3\ndL6X+DYDkFb8Z07kD3wy5aUyaqZ8mEH5P1hrL2j9O/+xb1lrzxv2JMaJQXkB8YMMXUR/KUbz5Wab\nkZ3qfL8EU4HqW5sj7NgCTr6tAAyJQTmkyW4e1HLMGHNC5ATepebMOZApcnV+y7N+0Q2C7JRttzak\nvWE6vPb8Rv3c0trvwEyTKUd/wwzK/0jSX0n6N8aY35P0NUl3ZnpWQFR0BzRjmlkClEYYhrGFUq1L\nOMJueJ0FWXxbARiv6KQA0M/A8RVJMsacq2aPckl60lp7KNOzyhDxlQLgLb5S65UJT3685/0SfcXp\nOQ4ga8RXIE2wT3mUtfZZsYsngEnYqvbbvtE8+CBiDQ+q2ZwWAABZSh1fMcZcbYy5NXL9G8aY789f\n/t14Tg+lFYaqkSvw2mK5yGgspW8U5WQNnAcPZ8JOhvNoIGvVvgRTQfu2MvQcHwaZVr9Rv7zVYxG5\nQVG/8hpkpvyTau7o2XKSpJ+XdIqkz0v6y+xOK1vValWVSkWVSiXvU0E/yR50+/ZJ1KywWpv9SEq9\nqUbqY881Yl1VtKNz2zAz7QDQTxAE7Z9jsR2FaUteCrVaLZM/plJnyo0x34z2IjfGfM5ae+v8/79u\nrb1w5LMZAzLlHiFfVyppe4n3yoAvyJRvM9LJzf/H2h7ybQUgL2TKS2WSLRFj7/O2BuTz3jXsCQBA\nVLLbSmqRmItmOm8fk34CAPhgkEH5140xW5IfNMb8j5K+nt0pAU3k6vxWq9VS58Zbb/22BuHtHuN9\nZpGij0kO3huNToacnTgHx2vPb9TPb9SvvAbJlP+GpIeNMf+9pKfnP7ZW0pSkq7M+MQD+S5sbry8y\ncm4/tNr7MWk35gCASYr+6COsgn4G6lNumr9V10v6aTW/t56RtM/l0DaZco+Qryucfrnxfjny2DF6\nZMrDmTDWjYUcOQDnkCkvlYn1KTfGPG2tXSvp/5q/9LsPAIxVtMOKNL/x67bm/8mRA3BCEMSmyutT\n0vB7EaPoBsmUn2uM+S/9LpL+9bhOFOVDrs4PyYWZ0UswwdExOfLs8NrzG/VzSL2u6EYJK7ct/hDq\nV16DZMrPTXGft4c9EQB+iubGo2q1GnsDAEBCe0F7zucB96QelFtrD4/xPFBG0c2CpAWZAwZ0+QrD\nUI35+sQ2w0iJ+vmL2vmN+rnNRjPlXVC/8hpkphzIVitvACeNc8dNACilo0G7UxS//ZA0SKYcmChy\ndX4bR/3MXPMXmpk2zV9u8xsEsUlQtnjt+Y36OWym3tnkrAfqV16DdF/5M0lfkfR31toXjTGnSTpm\nrT06trNDMURjKkHAKjwPtTbqiV4fNM7S7RiDOn5n4jl3DHwIAACclLpPuTHmP1hrfzty/V9JuljN\nBaAvWGsfHc8pjoY+5Q7o1ZeVHq1O69dHfNS8+YLjRXqOR/uNS/He5ADgs9ivPX4HFs7E+pRL+v78\nE35U0k9J+oakmjp9y50clAPI3qiDcGnhQDy6QVAswl4d+akAAHDeIJlyI0nW2v8k6d2SnlNzpt1K\nemgM54aSI1fnt8Xq19r8x2630ky9kw+fC6SqaV+CKcLik8Zrz2/Uz2/Ur7wGmSn/PWNMRdLXJP1X\nST+y1h6fv41cOYCBtWbEgyD6Li5rDgCUHGuxSmmQTPn/IOnrkn5J0i9I+jlJ70j6lqTQWvvvxnWS\noyBT7oBobo4fNLlLmwfvlynPAllxAGWTOlPO+isvTSxTbq39j/P/PSjpj+effJmaA/R/P+wJoGQY\nhOeO/uMAALgndabcGPPu5MestbPW2icl3ZHpWQEiV+c76ucvauc36ueuIOjsrdAL9SuvQTLle40x\nL0iaVbPzygFJT0u6UNK7JP199qcHYJKS0ZZUj4l0UZHiLQ2Tt8UcZQEngHKJvVnMG5VIGCRT/lPW\n2kPGmFMkfVrSG5LOk7RU0nestb8xvtMcnjHGbt++XZVKRZVKJe/TKSfycE6JZsWTufFhcuTJbHj0\nupk2UrX5/+QSAr4tAJQamfLCqNVqqtVqmp6eHilTnnpQHnuQMRuttbvn/3+SpI9Za/9y2JMYJxZ6\nOoAfKLnrtbgz+vHkbWktNihv/z/xbcC3BYBSY1BeOKMu9BykT3nU28aYe40xGyT9hKRVw54A0Au5\nuqYwDGWMkTFGYRgOdYzW4k5rbWzQXa/X2x9P3jaKZmaylsmxMHm89vxG/fxQn1InYB752U79ymuQ\nTHmbtfYLxpinJX1C0iWSdmd6VvBbtO2h1MwtYGg+dkuxVqrVpEv+uvOx1gKn6HUAKKuV/z6QTm7+\nrrTVhWtvzHTzByZz5OWRKr5ijDlb0nFr7XfGf0rZIr6SA95qy1S/DPgwx8ha2vgKAKCjb89y4ite\nmlSf8u9Jqhhj/q2k45L+3lr7zWGfFMB4dcuKj1N0BtxsC9ozPMEU0+EAAKSRKlNurX3bWvuEtfZ/\nt9beI2mJMeZ/Msb8z8aYDxtjhorBAP2QqxtMNHsuaSxZ8V6s7VyO31mX3W617+J97daI8AuvPb9R\nP79Rv/IaNlP+DTV7lbeiLb8634XlnyR91Vr7ZnanCC9Ec+SEhUfWq194EASxXHm0W0o0ew4A8Ed9\nSgojP9vrU9Jwy/rhs0H6lH/CWvvni9znvZJ+2Vr7F1mcXBbIlE8ImbdMpc2AZ5E3HxW5cQAYXCw2\n3mdtDr9f/TGpTLkk/YYx5pik1yX939baf07ewVr7kiRnBuRA0UVnzseZG1/yqVB2ip05AQAYl0EG\n5bdZa79mjFkmaa0x5t1qbhL7LklPW2v/dixniNKq1Wql2YV12IWZ486Kt9ipRnwWJ9EYQDsWPqZM\n9Ssaauc36uc3MuXllXrzIGvt1+b/nZX0Q0k/K2la0qWS/vVYzg4oiejmPpNYmJlGGHb2tQAAAOM1\nSKb8PZKuk3T9/Iful/SgtfbImM4tE2TKJ4TM20jyyoP3Y7aF7Y0tgqkg1kklua7Xgb8hAMArZMqL\nZ5KZ8v9X0qOSNltr/3HYJwTgiZMbPRdwMggHACBbqeMrkj4p6Y8k/bwx5gZjzEZjTMUYc4ox5r8b\n0/mhxMjVjUc4E8pMm66XcCa7JlzUz1/Uzm/Uzxf1rhFB6ldeqWfKrbU7kx8zxpwuab2kT0n6PzI8\nLwBj0pjrPQPe2okTADBuKzstbadzPhU4IfVM+Xy3lRhr7SvW2i9L+l8yPStAonvABEQXc2a9oJP6\n+Yva+Y36+a1b/cbxbibcM0imfK8x5gVJs2ru5nlA0tOSLpREo2Kgi26tDl3orNLSaMTXD5ltQWe2\nnP7jAOCE1rubvJtZbINkyq+z1l4p6WZJ71azFeKfS9oq6ZfHcG5wXXSadQwb1xQhV5dsdRgdoDtp\npi673TZ/AcyM9sdDEepXVtTOb9TPb9SvvAbJlB+a//dNY8wha+1uSTLGnCTpY2M6P7gsOc2KgURn\n0ce5GycAwD3RHZlVzfVU4IhBZsqj3jbG3GuM2SDpJyStyvCcAEnFz0VGZ9EnHWkZ4xscbUWvX5FR\nO79RPz/U6/X274Ao6ldeg2TK26y1XzDGPC3pE5IukbQ707MCMFa93uAIgs6CTybvAQCYnGFnymWt\nfc5a+zvW2l+z1n4jy5MCJHJ1WYr2Ju+3gLNebw7YrR19gyDq5y9q5zfq5zfqV15DD8pRQsn+eQWc\nSg3DUMaY9iUMu7ef6ne/6G3JrHgrQ9jttnFqzDWkqpWqVsGfuNP9BQAANJlklqlojDG26J/jxBhT\n+IWdxphYvi95Pc39ej0mT2ba9NwwCACQr+TP6Nj1yO9efpa7bf73/9B9KxfNlBtjTrXWvmGM+VeS\njltr3xn2yQAAAJBwNIj1IA+mivdONBbXN75ijPmkpM8YY/43SadJ+uOJnBUgv3J1ecVSoqK5cRd2\nffOpfoijdn6jfh6K7BGx7+J9qm8lZlhGi82Uf33+8paka0UGvXzCsNmPXCpkhjwrLuzS2ZhrsOsb\nAACeWmyQ/aakzfORlSsk/bUxZpUkGWNOM8acPO4TRM5aGwRl0Y5jQPRq9Rv18xe18xv18xv1K6++\nM+XW2m9K+ub81ZettQ9Ebv7/JF1sjDlX0gvW2kfHdI4jq1arqlQqfKMDAAAgU7VaLZPY2CBxlO9L\nkjHmo8aY35R0kaSapM9J+vWRz2SMWoNy+IVc5ELR3Hi37HirW6ULqJ+/qJ3fqJ/fqJ9/KpWKqtXq\nyMcZZEdPI0nW2v9kjLlE0nNqtlS0xpiHRj4TwHFhGKoxn6+f5GLOcCZs9hlXc0V+sm1WVKsTo5me\n2OkBAIAMDDIo/z1jTEXS1yT9V0k/stYen7/taNYnBrj27kaj0cil/3h0AadPXKsf0qN2fqN+fqN+\n5TXIoPzTanZi+SVJqyV93RjzjqRvSQol3Zv52SEfdFwBAACYqNSZcmvtf7TWHrTW/rG19lettb8g\n6TJJfyHppLGdISYvx44rUS7k6lzoP+4rF+qH4VA7v1E/vy2oXxC0Fwwd2ZHLKWFCBpkpX8BaOyvp\nSWPMbEbnAzjFhf7jUmfxZhDk+ncSAGDSIj/0Q1dW8mMsMtkMyFr791kcBzkJw07bDmOciaxkmasL\nw7A94x2G+e92OajWGxdSvFQuIxfpL2rnN+rnN+pXXuzQiXhcJefIyri0Fmm2Fmq2Bui+DdLr9Xip\nzFzQaZE458YfUwAAYHAMyuGsceUi6/V6e4BurW23OXRJ9M2Lfo7fWZfdbmW3Wx2/060/psi1+ova\n+Y36+Y36lReD8rKKjvociaugI/rmBQAAKD6TR9/lSTLG2KJ/jkMxplQjPmNMzx7j0dv63W+SzLZQ\nOrmzYVB962Cz4GbaLNhkyMde5wBQBql/JZfsd7dv5scQQ6/4Gqn7CuCyvHbgzMTJfm4YBAAAhkN8\nBc4aNVcXXdzZr7VhXr3Iw5mwvUgznMl4senRyALQaSMdnfwfJeQi/UXt/Eb9/Eb9youZ8iKL7swp\n0eS6h7x6kTfmGlK1ORveqGbb3zD4k/qC0otNJwAAcBaZ8iJLZs+ig/QSDNBdyYf3Es15kwEHgPIi\nU14MZMqRnqeD8Gg2XGrGTVzZaXMx4UzYnBGfN8yiTQAAUHxkyuGsVq4umg13ta94L425RruPuN1u\nYwP0oiMX6S9q5zfq5zfqV14MyoExa7WDX2wjoLT3AwAAxcOgHM6qVCqL3icMw3bnlOTFlTaIrU2A\nFosBpr2fL9LUD26idn6jfn6jfuVFphxea0VbfBdMNVsYRq8DAIDyYKYczvI1VxftP96tP3i3iEp9\naz2WPS/CYlBf6wdq5zvq5zfqV17MlBdNsu0hJi7afzzZHzyYCto9yZkNBwB0k9yR2peOYxgNfcp9\nV4INgpL9xqPXXexFTo9xAMAgku3He/6eo0+50+hTXnaNBi9QAAA8ZyK5RmPqkZjjkVzOB5NHptxH\nYdgJJhc4okKuzm/Uz1/Uzm/Uz0+tvTj27dsna4NIN64w71PDhDBT7qOSz44HQdCeUXCl7SEAAMAo\nyJT7qASZMp8XuZApBwAMYmGmvHM9dlsJfv/7jEw5Csn1/uPhTNjsstJNlzaIAAAA/TAoh7NqtZpT\nO5st+VQoO9UciJu5QPbO7n80GKNYG8Sycq1+SI/a+Y36+a25JqCS81kgDwzKgZTsVKMdSzFG0p35\nng8AACgOMuU+KkGmzPX+48n28FEFbBUPABgjMuXFQKYcyAGDbgAAkCX6lMMZYRjKGCNjjIIgoNeu\n56ifv6id36if36hfeTEohzNaHVestV61QAQAYHzq7f0CUWxkyn1U0EyZiznyKPqPAwDGoX+mPPK7\nsV91f2kAABoBSURBVKC//4uCTDkwoGSP8WAqUH0rM/MAACA/xFfgrHHl6hpzzdaGrUvPTYDU7LLC\n24bDIRfpL2rnN+rnN+pXXsyUA300toTSyc1BezDFTp0AAGA8yJT7ItoYu6CNsCeVKU9mw/tlxcmR\nAwDGjUx5MYyaKSe+4otGo/lCtNbrAXm07WEYhnmfDgAAgBMYlGOiom0PG722xJyXZa4umQ1v/T+Z\nFV/yqVBm2nQuc0RWhkUu0l/Uzm/Uz2/Ur7wYlGPskpsC5SH6RoPU+X/0HUFjJDsVXwR6/E5/35UA\nAAD+IFPuC49yZGEYxmbBgyDouhlQMkM+zky52RZfsBltgRjNjZMhBwBMGpnyYqBPOZzTiqhMWt/+\n4yc3GGwDAABnEV9xVTQEbUyz40rBBEHQjrV0i7YMmqsbpP947DymgnaGnLaH2SEX6S9q5zfq5zfq\nV17ezpQbY4ykOyQtk/RNa+0DOZ9StlohaE9EIytpc+PdIi2jii3crKZ7DLt5AgCAvHmbKTfGXCPp\nY5JelfS4tfbJHvfzM1PuWW5sUj3GpYUxlbajgewOsuIAAL+QKS8G7zPlxpg/k/RRST+y1v5s5ONX\nSPoDSSdI2mWtnUk89Cclfc1a+6fGmL+U1HVQ7rwSbAqUtcZcQ6o2fyhFv2TGSNqR33kBAAAMy4VM\n+X2Sroh+wBhzgqTPzX/8pyR93BhzrjFmozFmpzHmvZJelPTa/EPemeQJZyraq2+Rvt1l0y9Xx5fM\nfeQi/UXt/Eb9/Eb9yiv3mXJr7VPGmNWJD/+ipO9aaw9LkjFmj6SPWWt3SNo9/7GHJP2RMeaXJf31\nxE4YAAAAyFjug/IezpD0g8j1FyVdGL2DtfaopJvSHGzz5s1avXq1JGnFihU6//zzValUJHX+Is3t\nevODC2+fP/fczy/l9ZYsj1+pVLrf/v3O8516am1+cWdFQTDZ8+P6kPXjOte5znWup77e0r49ed2x\n8y3T9YMHD+q115qhjcOHD2tUTiz0nJ8p/3IrU26MuVbSFdbam+evf0LShdbaXxvi2G4v9Iwu2vA4\nXz7JhZ5pF20u+VQoO9X8epq5gN05AQBOYqFnMYy60HNJlieToX+S9L7I9fepOVtebPV6JyztwYA8\nDMOePcazkJwlGNTxO+vtnuUMyCdv1PohP9TOb9TPb9SvvFwdlH9T0k8YY1YbY06S9CuSHs35nEov\nOgg38w3BrbWy1o6l5zgAAEBZ5B5fMcZ8QdLFklZK+pGkz1hr7zPGfESdloj3WmvvHPL4/sRXHDfJ\niEq/6Ak9xwEARUJ8pRi871Nurf14j49/RdJXJnw6cISdasQ2/gEAACgyV+MrQCdXdzSQmTbti45m\nn19H9shF+ova+Y36+Y36lVfuM+WTUK1WVZlv0QYPzdQXvK3Hzp0AAMAFtVotkz+mcs+UjxuZ8sWF\nYahGZGvMIAi6LtzMq+1hv6wdAAC+I1NeDEVtieiuMGy+KIxp/r8AGo1Gu4uKtTY2QB9320MAAAAw\nKB9co9HpJR4ZvBZVdMA+7raH4UwYy42Tq/Mb9fMXtfMb9fMb9SuvUmTKMZggCNp9yCc5O96Ya0hV\nO/+8kq6otf9vIm8GMWEPAACKhkz54AeMBr16Z7vCsDOTHgS9d+h0IB82yax43/Og/zgAoITIlBeD\n933KC6sVc5Hi07xoC2fC5ux4C60OAQBASZEpn7ToQlFjSp3FaMw1NwhqXTQTfzeBXJ3fqJ+/qJ3f\nqJ/fqF95MVM+adEZdAAAAEAlyZRv3749u82D0mbKe93PwTzYuDPl0ZhKMBWovrU5I26mTXthp9Q/\neg8AQFGRKfdba/Og6enpkTLlpRiU57LQ08FBeXSToOgGQeMelMcG39XIpkAs7AQAgEF5QbB5EFKL\n9hxvjLHHerTfeKvneKu1+yDI1fmN+vmL2vmN+vmN+pUXmfKsRFsgSqVfwJmMpWhHfucDAICvonuH\nMEdebMRXBj/g4LEUR+Ir0bfAev0/k+fpE0sx20Lp5Pk/Xo4GsjsIkQMAyq1ffKXvHeEU+pTDLzP1\nePt2ZtABAADIlJdV6+0wY4yCIaM2Sz4Vz463L3PZRHfI1fmN+vmL2vmN+vmN+pUXM+WTEASdXT0d\nyZrXM+g9aKcaA3dPcfBLAQAAkDsy5YMf0LlWh1G92h5Kk82OAwCAdMiUFwMtEVOoVquleTso2vZQ\nUjuiMkpMBQAAjE/rXeTWhV/XfqnVaqpWqyMfh5nywQ/o9Ez5uDcCij3XmGfKa7VaNruwIhfUz1/U\nzm/Uz2996+fIWAPd0X0FE7PkU6HsVKcXe1YLOgEAAMqOmfLBD1jamXIy5AAA5MiRsQa6Y6YcYxWd\nHWdmHAAAYDxKsdATgwlnOv3HrZXsdiu73er4nZPdfbMsi3OLivr5i9r5jfr5jfqVFzPlWKAx1+k/\nzq6bAAAA40emfPADdvJcYSjN9wRXEEgZbMiTRta9yJMLOHU0kGbq88ef2KcFAAD6IVPutFEz5QzK\nBz9g7i+I6MA7OQgfZlDOAk4AADzgwBgEvbF5EAqLXJ3fqJ+/qJ3fqJ/fqF95kSlfTDSiIhVmm61w\nJlRjbv7zOlqMzwkAAMBXxFcWP4BzbxVlEV+JRlYc/BQBAEASv7CdRnwlhWq1yttBAAAAyFytVlO1\nWh35OMyUL36AXP4qjXZYkeJdVtLOlMciKpKCqUD1rfPH8GCmvFarqVKp5H0aGBL18xe18xv181vf\n+rn6CxuS2NGzsBqNRmywHYahjGnWOUiZa4/2G5eaA/Go+cMVJSYPAADgrXLNlA/TVzynv0pTZ8P7\nzJQnWx3GZsdpgwgAgF+YKXcamfJBNBrNb2Zr4x1VctSaATfGKAzDgR8fBEH78caY1LPoAAAAcEe5\nBuUOasVUrLWxDHla9Xq9/XhrbWx3z6RgKpCZNs0YiwdtEFmc6zfq5y9q5zfq5zfqV15kykuktchT\nms+T78jvXAAAANBRrkx5NIvVL5c1TPZ8+PPr2kklbaa877H75MaJpQEA4Bl+eTuNTPk4RLPnYxyQ\nT4IxncsQkXUAAOCI+pT4xV5gDModEl202W/BZhimfz22/rZwaG1rauTq/Eb9/EXt/Eb9/Navfiu3\nSUadi3e/2NEXmXKH9FukGdWayJc6vcZbYhsGJRZzBgG9yQEA8NbRQKpGBuLV3M4EY0CmvPuDJpbZ\nSpsdT+7O2Uts106iZwAAFMaC3+v8oncKO3pmJbm40zHR3Tn7/W0RhpLZ1vy/g58GAAAAuihFprxa\nrS7MaLWyHK2L5Pziztap9htsF2iNKrlIz1E/f1E7v1E/v1E//9RqNVWr1ZGPU4qZ8q5fKMdHrEs+\nFcpOdeIqZi7Qcd6hAgAAcEqlUlGlUtH09PRIxylvpnzMwjBs79AZBEHPRZy9MuX9eozHHx//lIiX\nAQBQTGTK3Uam3FGNRiO2EVAa/Tqn9BLtqNK6DgAAAL+UIlPukjAM273Ik/3IW4s57XYrzaSL19Tr\n8V7kjqdyBkKuzm/Uz1/Uzm/Uz2/Ur7yYKZ+w6Ay61MyOm+nmVLeZY5obAACgjMiUj+95Y/GVbv+X\n4tnxtG3UAQBA+ZApd9uomXLiKwAAAEDOGJRPQBAEXTPkC++Xrhd5WZCr8xv18xe18xv18xv1Ky8y\n5RmJtkCUFBt8R9shhjOdDLmkWJeVIi3SBAAAQHpkyrN7nq79xhfcL9F/nDgYAABIg0y528iUT1i0\npWEYhikf04mlSJ3/E1MBAACAxKB8YK2WhtZaNRrfjQy2j/R5TKePuFTcvuJZI1fnN+rnL2rnN+rn\nN+pXXuXIlLemqDOflg4jLQzTzZoDAAAASeXKlGdzvEjP8XR9xWP3S2TKAQAA0iBT7rZRM+XlmCkf\nI9OahRcvCgAAAAynFJnyarU6toxWK1+O7JGr8xv18xe18xv18xv180+tVlO1Wh35OKWYKR/lC9Wv\n/3jM1lBmutHjtkASKzoBAACKplKpqFKpaHp6eqTjkClf/PE9Z8LTZsWjt5EpBwAAwyBT7jb6lAMA\nAACeY1AOZ5Gr8xv18xe18xv18xv1K69SZMoHFc2R98yQd2Eib1gEQWRjoKOBzHTzxmCKLTwBAAAQ\nR6a862PqkpqbAcUG15LCmVCNufkFnUcD2R3NG5NZ8bQ9zAEAANIgU+42+pSPRRgbUEc15hqxRZsA\nAADAqMiUj2I+lmKmzYJYShA0B/TGNP+PwZGr8xv18xe18xv18xv1Ky9myofQmj0Pgnos2hLV6+MA\nAABAEpnyro/pnQenzzgAAMgDmXK30ad8SGEYyhjTvoRhmPcpAQAAoKRKOyhvNBqy1rYvrRaIcAe5\nOr9RP39RO79RP79Rv/IiU96yNdJNpSqZaS38vyQdZdUmAAAAslWqTHlyU6B6ZDVmNCveN1NOfAsA\nAOSATLnb6FM+gFZkpRfTbkreuU+rtWH0OgAAAJCl0mbKu2nly6Pq9eYfoa0LrQ4nh1yd36ifv6id\n36if36hfeZViprw1Ax5EprnDmVCNuc7iTjMXRPqPT/T0AAAAUHKlypTHPp7oN04sCwAAuIxMudvo\nUw4AAAB4rhSDcmOaF/YH8gu5Or9RP39RO79RP79Rv/IqRaZ8+/aqKpWKLrmkEvs4XVUAAAAwilqt\nlskfU6XIlKs6f+VoILuj2T4lmSkHAABwGZlyt5EpT8Fut80B+MmNdpQFAAAAcEUpBuUtwVQgVY1U\nNc3/w2nk6vxG/fxF7fxG/fxG/cqrFJnylvpWdv4BAACAe0qRKS/65wgAAIovGSGvn2wUzs1fCQK2\nHc8ZmXIAAIASWrlNMmpe1Ggscm+4jkE5nEWuzm/Uz1/Uzm/Uz2+D1K+5Vk5qd5mD10qVKQcAACiM\nmbrUniCntZzvyJQDAAB4IJkpj12nZ3nuyJQDAAAAnmNQDmeRi/Qb9fMXtfMb9fNbv/oFgdqbIBrT\nvI7iIFMOAADgAToeFhuZcgAAAN+RKc8dmXIAAADAcwzK4SxykX6jfv6idn6jfn6jfuXFoBwAAADI\nGZlyAAAA35Epzx2ZcgAAAMBzDMrhLHJ1fqN+/qJ2fqN+fqN+5cWgHAAAAMgZmXIAAADfkSnPHZly\nAAAAwHMMyuEscnV+o37+onZ+o35+o37lxaAcAAAAyBmZcgAAAN+RKc8dmXIAAADAcwzK4SxydX6j\nfv6idn6jfn6jfuXFoBwAAADIGZlyAAAA35Epzx2Z8hSq1SpvBwEAACBztVpN1Wp15OMwUw5n1Wo1\nVSqVvE8DQ6J+/qJ2fqN+fhu6fsyU546ZcgAAAMBzzJQDAAD4jpny3DFTDgAAAHiOQTmcxeJcv1E/\nf1E7v1E/v1G/8mJQDgAAAOSMTDkAAIDvyJTnjkw5AAAA4DkG5XAWuTq/UT9/UTu/UT+/Ub/yYlAO\nAAAA5IxMOQAAgO/IlOeOTDkAAADgOQblcBa5Or9RP39RO79RP79Rv/JiUA4AAADkjEw5AACA78iU\n545MOQAAAOA5BuVwFrk6v1E/f1E7v1E/v1G/8mJQDgAAAOSMTDkAAIDvyJTnjkw5AAAA4DkG5XAW\nuTq/UT9/UTu/UT+/Ub/yYlAOAAAA5IxMOQAAgO/IlOeOTDkAAADgOQblcBa5Or9RP39RO79RP79R\nv/JiUA4AAADkjEw5AACA78iU545MOQAAAOA5BuVwFrk6v1E/f1E7v1E/v1G/8mJQDgAAAOSMTDkA\nAIDvyJTnjkw5AAAA4DkG5XAWuTq/UT9/UTu/UT+/Ub/yYlAOAAAA5IxMOQAAgO/IlOeOTDkAAADg\nOQblcBa5Or9RP39RO79RP79Rv/JiUA4AAADkjEw5AACA78iU545MOQAAAOA5BuVwFrk6v1E/f1E7\nv1E/v1G/8mJQDgAAAOSMTDkAAMD/397dx0h1lXEc//6goVpi1da+pFrEKAgoikpAWxQjLUWNQpRY\nCq2GKpUaWuM/YAwmJVFD4x/4gkFbQktIeGkbq9BqoNqIUJpaxK2UlwSoi1gjQQVTrWl5efxj7sqw\n7O7MLLNz5sz8Pskmd849c+6z8+yZefbOmTu585ry5Lym3MzMzMwsc9kW5ZImSVoh6X5JT6WOx+rP\n6+ry5vzly7nLm/OXN+evfWVblEfE9oi4E3gMeDBxODYAOjo6UodgF8D5y5dzlzfnL2/OX/tKXpRL\nWiXpqKTd3dqnSdov6YCkRX0MMRtYO7BRWgonTpxIHYJdAOcvX85d3py/vDl/7St5UQ48AEwrb5A0\nGFhetI8BbpE0WtJtkpZJuqboNwz4V0T8p9FB16Leb0X1d7xa7lepb3/319reDOoZWzPkrlKf/uxr\n1vy14tyr1KfWfc2aO8gvfxeau7725zb3wM+dlfa1S+4uZLx2q1uSF+URsQ043q15AnAwIjoj4iSw\nHpgeEWsi4msR8dei3+3AqgaG2y/+4+5fe2dnZ5/HaBS/sFTe16z5a8W5V6lPPQqDZsgd5Je/ZinK\nWzF/7TL3oDnyl9vcq6ZvDkV5U1wSUdJwYFNEjC1uzwRuioh5xe1bgYkRcVc/xk7/C5qZmZlZy7uQ\nSyJeVM9A6qhuhfSFPDhmZmZmZo2QfPlKL14Eri27fS3wl0SxmJmZmZkNqGYtyncCIyQNlzQEuBnY\nmDgmMzMzM7MBkbwol7QO2AGMlHRE0tyIOAUsADYDe4ENEbEvZZxmZmZmZgOlKT7oaWZmZmbWzpKf\nKTczMzMza3dtWZRLepuklZIeTh2LVU/SUEmrJd0naXbqeKx6nnN5kzS9mHfrJd2YOh6rjaRRklZI\neljS/NTxWG2K175nJX0ydSxWG0kflbStmH+TK/Vvy6I8Iv4UEV9KHYfV7DPAQxFxB/Dp1MFY9Tzn\n8hYRPy/m3XxKH7y3jETE/oi4k1Lurk8dj9VsIbAhdRDWL2eAl4CLqeIqglkX5ZJWSToqaXe39mmS\n9ks6IGlRqvisshpz+GbgSLF9uqGB2nk8//LWz/wtBpY3LkrrTa35k/Qp4DHgF42O1c5VS+6Kd6b2\nAsdSxGrnq3HubYuITwBfB5ZUGjvrohx4AJhW3iBpMKUXjWnAGOAWSaMl3SZpmaRrEsRpvas6h5T+\ny+y6fn3uf7utoJbcWfOp5flTku4FfhkRHY0P1XpQ0/yLiE1FcTCn0YHaeWrJ3WTgg8BsYJ4kfyFi\nelXnL85eTeUEpbPlfWrWb/SsSkRskzS8W/ME4GBEdAJIWg9Mj4ilwJqi7TLgO8A4SYsi4t6GBW3n\nqCWHwA+A5cW6Ol+3PrFacifpKJ5zTaXGuXcDMAW4VNI7IuInDQzVelDj/LuS0vK/i4HHGxim9aDG\n2mVxcfsLwLGyIs8SqXHujQJuAt4A/LDS2FkX5b0oX+IApbOrE8s7RMQ/Ka2NtObUYw4j4mXg9jQh\nWZV6y53nXB56y99dVPGCYsn1lr+twNY0IVmV+qxdImJ1wyOyWvQ295YCj1Y7SCsuAfB/kflzDvPl\n3OXN+cub85cv5y5vdclfKxblL3J23THFdsVPvFpTcQ7z5dzlzfnLm/OXL+cub3XJXysW5TuBEZKG\nSxpC6RJQXn+cF+cwX85d3py/vDl/+XLu8laX/GVdlEtaB+wARko6ImluRJwCFgCbKV1GaENE7EsZ\np/XOOcyXc5c35y9vzl++nLu8DWT+5A/ympmZmZmllfWZcjMzMzOzVuCi3MzMzMwsMRflZmZmZmaJ\nuSg3MzMzM0vMRbmZmZmZWWIuys3MzMzMEnNRbmZmZmaWmItyMzOrqPimuv9K2lXWdpWktZIOSdop\naYekGRXGOSRpZLe270laKGmSpL2Sdg/U72Fm1qxclJuZtQFJF9VhmIMR8f5iPAE/A34TEW+PiPHA\nLOAtFcZYX/TrimsQ8FlgXURsBz5ehzjNzLLjotzMrMlIulXSM5L+IOnHReGKpH9L+pakDklPS7qy\naL9C0iOSflf8XFe03yNpjaTtwGpJb5L0hKTnJd0vqVPS5ZKWSPpq2fG/LenuCmF+DHglIu7raoiI\nP0fE8mKMwZK+W8TznKQ7im7rgJvLxvkIcDgijnQdvv+PnJlZvlyUm5k1EUmjgc8B10XE+4AzwJxi\n9yXA0xExDvgtMK9o/z6wLCImADOBlWVDjgKmRMQc4B7gVxHxbuARYBgQwCrg88XxB1EqmtdUCPVd\nwK4+9n8ROFHENAGYJ+mtEfE8cEbSe4p+s4C1FY5lZtby6vF2ppmZ1c8U4APAztIKEV4L/K3Y92pE\nPF5s/x64sdi+ARhd9Ad4naShlArujRHxStF+PTADICI2SzpebB+W9A9J44CrgV0RcbxCnFF+Q9Jy\nYFIR4wRgKjBW0syiy6XACOAwpbPlsyTtAaYD36z8sJiZtTYX5WZmzWd1RHyjh/aTZdtnOPscLmBi\nRLxa3rko0l/uNkZvy0NWAnOBqyidOa9kD6W14ABExAJJlwM7y/osiIgnerjvemALsBX4Y0Qcq+J4\nZmYtzctXzMyay6+BmZKuAJB0maRhFe6zBfj/GnBJ7+2l31OUlsYgaSrwxrJ9jwLTgPHA5kpBRsST\nwGskzS9rHlq2vRn4StcHTCWNlHRJcd8XgL8DS/HSFTMzwEW5mVlTiYh9wGJgi6TnKBXcV3ftLu9a\ndvtuYHzxgco9wJe79euyBJhaXHJwJqVlMS8Vxz0JPAk8FBHnLE3pwwxgsqQXJD0DPAgsLPatBPYC\nu4rjreDcd2fXAe8EflrlsczMWpqqf+41M7OcSRoCnI6I05I+BPyo7BKHgyitU58ZEYd6uO9wYFNE\njB3gGBtyHDOzZuMz5WZm7WMY8KykDkpXbJkHIGkMcIDSlVnOK8gLp4DXl395UL1J+jCwEfAaczNr\nOz5TbmZmZmaWmM+Um5mZmZkl5qLczMzMzCwxF+VmZmZmZom5KDczMzMzS8xFuZmZmZlZYv8DNQLQ\nIUmWKGQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f388f3fc3d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import modules.spectrum\n",
    "modules.spectrum.drawSpectrum([\"EGMF10\",\"EGMF13\",\"EGMF15\",\"EGMF18\"],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": 4,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zD0OGDKFfv36sW7eOJUuWhPZp3O+SSy7h5ptvZsKECezYsYMVK1bwxRdfMGrU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\nHQhgAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3890c30e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import modules.spectrum\n",
    "modules.spectrum.drawSpectrum([\"Dominguez\",\"Franceschini\",\"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": 7,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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jx7Fhwwb9vocOHYro/mK8aO0FP/30U7z99ts4e/Ysurq6sG7dOjQ3N2Py5MkA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\nUA4AAM3+Py6ELWzKYbxXAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd51ac12bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import modules.spectrum\n",
    "modules.spectrum.drawSpectrum([\"Emax=10TeV\",\"Emax=50TeV\",\"Emax=100TeV\",\"Emax=500TeV\",\"Emax=1000TeV\"])"
   ]
  },
  {
   "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",
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