Source parameters.ipynb 652 KB
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{
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Impact of the parameters: Source\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\n",
    "\n",
    "### Impact of the redshift\n",
    "\n",
    "Five redshifts:\n",
    "\n",
    "* z=0.04$\\sim 175$Mpc,\n",
    "* z=0.14$\\sim 599$Mpc, \n",
    "* z=0.4$\\sim 1.6$Gpc,\n",
    "* z=1$\\sim 3.4$Gpc,\n",
    "* z=2$\\sim 5.3$Gpc."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib64/python2.7/site-packages/matplotlib/axes/_axes.py:475: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n",
      "  warnings.warn(\"No labelled objects found. \"\n"
     ]
    },
    {
     "data": {
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yCefcVjN7SLVE4hTtTQQaDCUnoRV9p27J0pRNKwr6Bj9vowXsbRBMy6l2iyUt6VNtdiLy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\nmZmZWY3/B7VN6U6Xkm2bAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa86165cad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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S1o4SdZZlUp9qj/qqvb+MsY/Lo1TvuFTv/LVXt5nduMIT2S30m5HDyttIrsra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\n9L7qeOmXMhv6xwtk/rkq6AcFynv8DRs2lPfgDaR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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa86165cf10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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h+uvpPvlkCNkQcLmc16+/z9lB+dOm/OnyPX/S1GAQEZHXRChO7I6yRsK6daA/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\nNB5++GGWLl3KBRdc0NDz/eQ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7nHNrgKafkDLtsZT18Dk7KH/alD9dPuf3OTsof9qUPz5d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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa860360450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import src.distribution\n",
    "simus  = [\"z=0.04\",\"z=0.14\",\"z=0.4\",\"z=1\",\"z=2\"]\n",
    "colors = ['b','k','g','r','c','m','y']\n",
    "src.distribution.drawSpectrum(simus,colors=colors,yrange=[1e-2,2e-1],save=\"Spectrum_vs_redshift.eps\")\n",
    "src.distribution.drawArrivalAngle(simus,colors=colors,yrange=[1e-5,2e-2])\n",
    "src.distribution.drawTiming(simus,colors=colors,yrange=[1e-7,2e-2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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166+/niVLlpjcGlES968qORm++w6GDy+6zVdfwT/+ARcvao8LF7Q632eegdde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OBgUm/c4NSpU7Ru3dpyWa1hyxbN2eHJJ4thx5SbXTdvsuLvv5kYHIyPu7tjoh4NGACbNsH587Yf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HJ5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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fbb807618d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import src.distribution\n",
    "#src.distribution.drawSpectrum([\"z=0.04\",\"z=0.14\",\"z=0.4\",\"z=1\",\"z=2\"],colors=['b','k','g','r','c','m','y'],yrange=[1e-4,2e-1],plot=\"generation\")\n",
    "src.distribution.drawSpectrum([\"z=0.04\",\"z=0.14\",\"z=0.4\",\"z=1\",\"z=2\"],colors=['b','k','g','r','c','m','y'],yrange=[1e-4,2e-1],plot=\"cascade contribution\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "The observed spectrum of a source is affected by its distance. \n",
    "\n",
    "As expected, the cut-off energy decreases with increasing distance. At high redshift, we find that\n",
    "the absorption depth goes simply as $\\tau_{\\gamma\\gamma}\\propto E^2$ producing a superexponential\n",
    "cutoff $\\propto e^{-E^2/E_{\\rm cut}^2}$. However the spectra of nearby sources show a more complex\n",
    "and harder absorption cutoff. In our reference setup, the maximal energy of primary photons is\n",
    "large (100 TeV), meaning efficient absorption. As a result, almost all spectra are dominated by\n",
    "second-generation photons with index $\\Gamma_2 = 1.8$ (see Eq. \\ref{eq:highgen_index} with\n",
    "$\\Gamma_0=1.2$). Only the source at $z=0.04$ is close enough and the absorption weak enough to\n",
    "quench the second-generation population. Hence, this source shows a harder, first-generation\n",
    "dominated spectrum with index $\\Gamma_1=1.6$.\n",
    "\n",
    "### Mean arrival angle vs redshift\n",
    "\n",
    "gen 2 dominating for redshift > 0.4\n",
    "\n",
    "**computed in \"Impact parameters - Extragalactic medium\"**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+Y6SmtrwQSEsr57XX8iktbW3ic/SGfH8BP5bKDPRqfL7gY7tzfe/OHmjhwoUM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\nafDHPzqdd6Xd1IIfYmrBD15SUuv7zNTUVE477TQuvfRS5s2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HH6gZM2YwY8YMnnjiCa/b\nFyxYENT5Wnr33XcBmDx5cofOIyIibVPrvcQiBfhBMMYkA9cBmcD6cJe34aWXuLu21u8+E2trWXrl\nlYQilNsA3N3GPhNra1n60kshD/DByRtv6cwzz2T69OlkZmY2W//oo48G3AnVGMONN94YdIDvyU1P\nTU1ttc1Tn4qKCnr16hXUecNt7969APTv37/VNrfbzcqVK5uty87O5s4774xE1URERCQCFOAHoCEd\nZwOQBhwBvmOt3Rbucms+/5y2urRmADWhKq/hfG2W9/nnISrxpJY5+DU1NXz00UfMmzeP66+/nm3b\ntrFo0aLG7SUlJSGvQ0ue1BXPrLJN1TbceHnrNxDL3G43CxcubLZu8ODBCvBFRNpJOfgSi5SD38AY\nc70xprLJ66Imm7cD5wAXAE8CzxtjvhHuOqUPGkRb2e7VQPrNN4O1HX6l33xzYOV5yUkPtfT0dMaN\nG8fvf/97MjMzWbJkCaWlpWEvtyl/LfNVVVUYY+jWrVsEaxSYvn37As5kWS3l5eVRX19PfX19402K\ntxsYERERiV9x1YJvjJkGXAqMBs4FugK/sdbO9HPMAGAhcAWQA3wJvAIUWWubJnG/itNK7/GF5wdr\nbS3gGeT8Q2PMOJxsllkd/Uz+TJw2jfeef57JftJ0NqSkMHHatLgsLxA9evRgxIgRfPjhh2zevJkB\nAwYAkcnB79OnD8YYysvLW22rqqoiKyurVepQLJg0aRIul4u1a9dy0003+dxPI+KIiHScWu8lFsVV\ngA8swGlJrwRKgVGAzyjFGDMMJ1e+F05Qvx0YD9wJXGGMuchaexDAWnsEJ/0mEMlA68TsEJtwySUs\n7d+fyW63z3029O/PnEsuicvyAuUJsJsGpJHIwc/MzOS8887jcy8pScXFxYwePTqo80VKfn4+P/vZ\nz3jppZdYsGABo0aNinaVREREJILiLUXnLmC4tbYHEMjMQk/gBPe3W2u/a629z1o7BVgKjAQWt3UC\nY8zPjDGTjDG5xpizjTEP4TxF+E37P0ZgMjIyODZuHItyc1mbktKYPlMNrE1JYVFuLsfHjQvZ5FOR\nLi8Qr7zyCm63m9TUVC688MLG9SUlJY2pJm296urqePbZZ/2W4ytN5aqrrmLjxo3N1u3cuZPS0lKu\nu+66jn/AMBg6dCgLFizg+PHjXHnllWzYsMHrfsE8AREREe9cLle0qyDSStxOdGWMycMZk/7X1trv\ne9k+DPgMKLHWDmuxrSuwF6f1v4+11mfquTFmBXAZ0Bc4BGwFHrbW/sXH/iGd6AoSfybbpCTnPrOg\noKDxd1JVVcXHH3/M6tWrMcbw8MMPM2fOnJCXDTB9+nRWrVpFVVUV6enpzbbt3buXM844g8cee4wb\nbrgBgLvuuot169bxwQcf+J0FN9qKiop44IEHqK+vZ8yYMYwbN46cnBwqKipwu92sWbOG2tpaZs6c\n2WpkHW800ZWISGvqZCvR4m+iq0QO8GcBTwO/tNa2au03xrwBXA78k7X2rRDWK+QBfqLzzGTb9PeR\nnJxM7969ueCCC/jxj3/MlClTQlrmgQMHmDlzJmVlZWzbtg1jDD179uSss85i1qxZzJgxo3HfrVu3\nMn/+fEaMGMGRI0coLy/n0UcfpV+/fiGtUzjs2LGDp556inXr1uF2u6mqqqJ79+4MGzaMSZMmMXPm\nzIBTjfSdFRERiR3+AvzYbX7sOM9UoDt8bP8MJ8AfjnOjEDL5+fnk5uYCkJWVxejRoxvv7vUor7X6\n+vqIl9mrVy/+/Oc/B7Tvueeey+uvvx7mGoXHiBEjeOSRR0J2Ps/3t+X3Wcta1rKWtaxlLYd3ecuW\nLY3ptW4//SUhsVvwn8YZ5WaWtbZVArYxZjFwL3CvtfbnIayXWvAlIek7KyLSmkspOhIl/lrw462T\nrYiIiIiI+JHIAf6hhvcePrZ71msoEREREWkXtd5LLErkAH97w/tIH9uHN7z7ytFvt8LCwsbcKRER\nERGRUHG5XBQWFvrdJ5Fz8IcCxUAJcHrTxHhjTDecGW0t0NtaWxPCeikHXxKSvrMiIq0pB1+ipVPm\n4FtrdwFvAkOA21psLgIygF+FMrgXEREREYm2uBom0xjzbeDbDYt9G94vNMasbPj5gLV2bpNDZgPr\ngf8yxkzBSdsZD+QBnwLzw1HPwsJC8vLydEcvIiKS4PS3XiLN5XK1mQoeVyk6xpgCoAAntabZpoZ3\nt7V2aItjBgALgSuAnsAXwMtAkbX2ECGmFB1JVPrOioiIxI6EnMk2VinAl0Sl76yISGvKwZdo6ZQ5\n+CIiIiIinZFa8ENMLfiSqPSdFRERiR3+WvDjqpNtvAi0k60xXv9NRERERES8SrhOtvEg0BZ8kVij\nPFIRkeDp2inRohx8EREREZFOQi34IaYWfBEREREJN7Xgi4iIiIh0Egrww6CwsLDNzg8isUbfWRGR\n4OnaKZHmcrkoLCz0u49SdEJMKToSr5YtW8Zdd90V7WqIiMQVXTslWpSiIyJtqqioiHYVRETijq6d\nEosU4HdS0X6kGKnyw1lOKM8dinNF+99UQq8z/ZvGw2eNhTrq2hn6c8XCv6uEjv49HQrwO6lo/wfQ\nH6nQn6uj53C73R2ug4RWtP+fRlI8fNZYqKOunaE/l66diSUW/p/GAuXgh5gxRr9QEREREQk75eBH\nkLU25l8FBQWdovxwlhPKc4fiXB09R7S/E3p17n+TePissVBHXTtDfy5dOxPr1Zn+PfxRgN9JRXta\n7UiVH85yQnnuUJyro+fQY+bYE+3/p5EUD581Fuqoa2foz6VrZ2KJhf+nsUApOiGmYTIlXuXn57Ny\n5cpoV0NEJK7o2inRomEyRaRN+fn50a6CiEjc0bVTYpFa8ENMLfgiIiIiEm5qwY+wwsJCDdMkcUff\nWRGR4OnaKZHmcrkoLCz0u49a8ENMLfgSr1wulzoniYgESddOiRZ/LfgK8ENMAb6IiIiIhJtSdERE\nREREOgkF+CICKI9URKQ9dO2UWKQAX0REREQkgSgHP8SUgy8iIiIi4aYc/AjTMJkiIiIiEg4aJjMK\n1IIv8UpDvYmIBE/XTokWteCLiIiIiHQSasEPMbXgi4iIiEi4qQVfRERERKSTUIAvIoDGchYRaQ9d\nOyUWKcAXEREREUkgysEPMeXgi4iIiEi4KQdfRERERKSTUIAvIoDySEVE2kPXTolFCvBFRERERBKI\nAvwwKCws1B29xB3NxCgiEjxdOyXSXC4XhYWFfvdRJ9sQUydbEREREQk3dbIVkTbpqZOISPB07ZRY\npABfRERERCSBKEUnxJSiIyIiIiLhphQdEREREZFOQgG+H8aYbsaYZcYYtzGm2hjzrjFmbLTrJRIO\nyiMVEQmerp0SixTg+/ffwOXA94GzgDeBNcaYflGtlYiIiIiID8rB98EYkw4cBr5rrf1Dk/XvA6ut\ntf/h4zjl4IuIiIhIWCkHv326AMnAsRbrjwKTIl8dEREREZG2KcD3wVpbCWwAFhhj+hljko0xNwAT\ngL7RrZ1I6CmPVEQkeLp2SixSgO/fTKAeKMVpuf8x8D+AcnBEREREJCbFdQ6+MWYacCkwGjgX6Ar8\nxlo7088xA4CFwBVADvAl8ApQZK2t8HFMOtDdWrvPGPMikGGt/ZaPfZWDLyIiIiJh5S8Hv0ukKxNi\nC4BzgEqcVvZR+GldN8YMA9YDvXCC+u3AeOBO4ApjzEXW2oMtj7PW1gA1xphsYCowN8SfQ0REREQk\nJOI9RecuYLi1tgdwawD7P4ET3N9urf2utfY+a+0UYCkwEljcdGdjzFRjzJXGmCHGmMuBdcAnwIqQ\nfgqRGKA8UhGR4OnaKbEorgN8a63LWruzYdHrIwqPhtb7y4ESa+3yFpsLgGrgBmNMRpP1PYDHcIL6\n54C3gX+21taFov4iIiIiIqEW1wF+kC5reH+z5QZr7RHgXSATZ5Qcz/rfWWtPt9aeYq3tZ629o2F0\nHZGEk5eXF+0qiIjEHV07JRbFew5+MEY2vO/wsf0znBb+4cBbHSkoPz+f3NxcALKyshg9enTjBcDz\nKE/LWtaylrWsZS1rWctaDnR5y5YtVFQ448G43W78ietRdJoyxuThBOa/ttZ+38v2p4FZwCxr7bNe\nti8G7gXutdb+vAP10Cg6EpdcLlfjhURERAKja6dEi2ayFRERERHpJDpTgH+o4b2Hj+2e9V7Hwg9G\nYWFh46MVkXihFigRkeDp2imR5nK5KCws9LtPZ0rRuRn4f8DT1tpbvGx/AycHf4q1dl0H6qEUHRER\nEREJK6XoODxB++XGmGa/DGNMN+AioAp4L9IVE4kFeuokIhI8XTslFnWaAN9auwtniMwhwG0tNhcB\nGcCvGmat7RCl6IiIiIhIOCR8io4x5tvAtxsW+wJTgV3AOw3rDlhr5zbZfyiwHugNvApsB8YDecCn\nwIXW2vIO1kkpOiIiIiISVv5SdOI9wC/AmYW25YfwfFi3tXZoi2MGAAuBK4CewBfAy0CRtfYQHaQA\nX0RERETCLWFz8K21RdbaJGttcotXUsNrqJdjSq21/9YwM22atXaItXZOKIJ7D6XoSDzSd1ZEJHi6\ndkqkJXyKTixSC77EK03WIiISPF07JVoSNkUnFinAFxEREZFwS9gUHRERERERaU4BfhgoB1/ikb6z\nIiLB07VTIk05+FGgFB2JV8ojFREJnq6dEi3KwY8gBfgiIiIiEm7KwRcRERER6SQU4IsIoDxSEZH2\n0LVTYpEC/DBQJ1sRERERCQd1so0C5eCLiIiISLgpB19EREREpJNQgC8igPJIRUTaQ9dOiUUK8EVE\nREREEohy8ENMOfgiIiIiEm7KwY8wjaIjIpJYysvLufba2ZSXl0e7KiLSyWkUnShQC77EK023LuJd\neXk5U6fO5/335zJ27MO8+eZisrOzo10tiRG6dkq0qAVfRESkHU4G94uBIbz//mKmTp2vlnyRGKQn\nbScpwBcRgLhvgdKFXUKteXDvabHPVpAvzcT7tTNReP6/vvbaXP3/RAG+iCQAXdgl1LwH9x4K8kVi\niZ60taYAX0SA+B3LWRd2CTX/wb2HgnxxxOu1M1HoSZt36mQbYupkK/EqHjuK+Q7Eyhk7dr46QyYo\na6G+HmprT75OnPC97G9by+XDh8t57LH57NnjL7hvqpzTT5/PkiWL6dMnm4wMGl+Zmc57aioYr93g\nJN6Vl5dz9dX5vP76Sl1roqDtm/HE/lvgr5OtAvwQM8bYgoIC8vLy4i5YEoknnf3CHghroa6u40Fv\nMPtGqpzwmQ3MBYYEcUwJ8DDwhNetSUk0C/xD8fLcPHhe6emQnNzxTy+B0+hK0RXYkzZIxL8FLpcL\nl8tFUVGRAvxIUQu+SPiF+sJurRM8xkLgGupyElVSEnTpAikpJ1/BLPvaVldXzuuvz2f//sBb8Hv0\nmM855yymtjab6mpavY4fD/dvw5GWFvobh5YvPY1wtL4GJV4QGQknTsDRo1BTc/Ld189N15WXl/Ps\ns/PZuzfw/6eJ+O+jFvwIUoAv8SpeUnQOHixnypT5bNkS+IU9LW0+vXsvpr4+22sQnOiBcCgD4I7u\nG6pjk8LYgyzUN5AnTjhBibfgv61XVVXg+0biT09Hn0a0dQMRD08jWn8/XEAe8RxE1tfDsWP+g+q2\ngu727Nv+a2/7nrRdc83DvPqq9ydt8UgBfgQpwJd4FSsBvrVQUQElJeB2O6+mP3/yyWzq6kKbQgFO\nQBFrQWwojg1nIJzI4i0FzFonQAvXzUM8PI0I5Oaho08jvH8vXDgBPnT0e2Gt0/AQzqDa2/Zjx4Ku\nakgY49zQpafDKae0/tnbuvR0sLacF1+czxdfqAVfAX6EKMAXaduhQ96Dd8/Phw/7O7qcpKT51NcH\nfmE/66z5PP/8Ynr2zPYaDCsQFm/Uibu1YJ5GtOcGIlafRmRmgjFOUFlW1vaTnb595/Od7zj7BRt0\nRyuESEtrX7Ddke0pKe1P+erMOfgeCvAjSAG+CBw54jt4d7uhrVHLMjNhyBDIzT353vRna8v553/u\n3Bd2iQzlWkdeoE8jOnIDEfzTiHJgPhB4w0Jw+5+UkhK5ANvzc1pafDZyxNuTtlBTgB9BCvAlXgWT\nolNVBbt3tw7cPctff+3/+PR038F7bi707Nl2q05nv7BL5Gi0lMTU1tOIpjcQjz8+m23bfKUGujiZ\notNUCWef/TB33fVEQMG25z2W+x/Eos78pE0BfgQpwJd41TTAP3rUCeB9tcDv3+//XGlpJ4N1b4F8\nr16hGYmjM1/YJbLKy8vJz5/PypX6TnVG/hsUXLQO8HUNiqTO+qRNAX4EKcCXeHDsGHz+ue88+L17\n/R+fkgKDB/tuhe/TJ3KPezvrhV1EIks537GtMz5pU4AfQQrwJRbU1sKePb7z4L/4wn9Hri5dYNAg\n363w/frFVr5mZ7ywi0jkKTUwtnW2J20K8CNIM9lKJJw4AWVlvlNoSkudcY19SUqCgQObB+41NS6+\n+c28xgC+S5cIfJAQ6mwXdhGJjkQcB1/ii2ayjQK14Eso1NU5rey+Umj27HH28cUY6N/fdyfWAQOc\nNJumYmUcfBGRWNc8yN8KnKvgXiJOLfgRpABfAlFf7+S5+0qh+fxzJ83Gn379fHdiHTjQmcRFRETC\nQ6mBEm0K8CNIAb6Ak9++f7/vFJrdu9ueObBPH9+dWAcNcoZUExGR6FFqoESTAvwIUoDfOVgLX33l\nfzbWo0f9n+PUU32n0Awe7MyeGElK0RERCZ6unRIt/gL8OOtGJxIZ1jqzrfqbjbWqyv85cnJ8p9AM\nHgxdu4b1I4iIiEgnpRZ8P4wxyUAhcD1wGvAl8Bug0FrrtYujWvDjx6FDvoP3khKorPR/fPfuTrDu\nqxW+e/fw1l9EREQ6L7Xgt99PgdnA94F/AOcCzwHHgEVRrJcEoLLSfwpNRYX/47t2PRmwNw3cPctZ\nWWGtvoiIiEi7KMD370LgNWvtHxuWPzfG/AG4IIp1kgZVVU5nVV+t8F9/7f/4jAzfnVhzc50UG+P1\nvjgxKY9URCR4unZKLFKA79//AbONMSOttZ8aY84ELgMejHK9OiReev3X1DgBfMvA3bN84ID/4085\nxfdMrEOGOJ1cO1MALyIiIp2DcvDbYIxZDMwD6nBuiBZZa+/3s39M5+DH0ri9x4454737aoHfu9f/\n8ampTmdVX63wvXs7M7aKiIiIJBoNk9lOxpjpwBLgHmAbcB7wKDDXWvusj2NiNsBvPb12eKfVrq11\nAnhfefBffumMVuNLly7OeO++UmhOO00BvIiIiHROCRvgG2OmAZcCo3E6wHYFfmOtnennmAHAQuAK\nIAdnZJxXgCJrbUWLffcAS6y1jzVZNx/It9YO93H+mAzwWwf3jVvaHeSfOAGlpb47sZaVOTO2+pKc\n7My46iuFpl8/Zx+JDOWRiogET9dOiZZEHkVnAXAOUAmUAqMAn9G1MWYYsB7ohRPUbwfGA3cCVxhj\nLrLWHmxySDrQMkStB+Iqc9t3cA+QzfvvL2bq1NZBfl0dfPGF7xSaPXucfXwx5mQA760VfsAAp5Ve\nREREREIn3lvw84A91tqdxphLgXXAr6213/ex/xvA5cDt1trlTdb/Argb+KW19tYm61cA/wT8CPgY\nJ0Xnl8Bz1tq5PsqIqRZ8/8F9sz3p128+kycv5ssvsykpcdJrTpzwf/5+/Xyn0Awc6OTJi4iIiEho\nJWyKTlMNwf5b+AjwG1rvPwNKrLXDWmzrCuzFaf3vY62tbrL+AeA7QG+cdJ7/ARZaa4/7qEfMBPiB\nB/eNRwDzgZP79+3ruwV+0CBISwtP3UVERETEt0RO0QnGZQ3vb7bcYK09Yox5F6d1fwLOjQLW2iM4\nLft3R6qSoZSf74yWE1hwT8N+c5kwYT4rVjzB4MGQnh7GCkpMUR6piEjwdO2UWNSZxiAZ2fC+w8f2\nzxrevXaejUcrVy5m7NiHcVrmA1HO2LEP86c/LWbUKAX3IiIiIvGoM7Xg92h4P+Rju2d9VkcLys/P\nJzc31zlZVhajR49uvLt3uVwAEVnOzs7m/vuv5J578tmxYyVOC72roZZ5De+e5XMZO3Y+999/JVu3\nbo1KfbUc3eW8vLyYqo+WtaxlLWtZy1o+ubxlyxYqKpwBH91uN/50phz8p4FZwCxvY9g3TGh1L3Cv\ntfbnHahHzOTge7Sdix/e8fBFREREJLT85eAnRboyUeRpoe/hY7tnfYWP7XErOzubN99czNix82md\nrqPgXhye1gIREQmcrp0SizpTgL+94X2kj+2e3HtfOfoBKywsjLn/8N6DfAX3IiIiIvHE5XJRWFjo\nd5/OlKIzFCgGSoDTm+bRGGO64QyBaYHe1tqaDtQj5lJ0mjqZrjOXsWMfVnAvIiIiEoeUogNYa3fh\nDJE5BLitxeYiIAP4VUeC+3jgacm/5hoF9yIiIiKJKK5b8I0x3wa+3bDYF5gK7ALeaVh3oOmMsw2t\n+OtxJq16FSdtZzyQB3wKXGitDXRMSV91sgUFBeTl5TX2fBaJBy6XS99ZEZEg6dopkeZyuXC5XBQV\nFSXmTLbGmAKgACe1ptmmhne3tXZoi2MGAAuBK4CewBfAy0CRtdbXEJrB1CmmU3REfNEfKRGR4Ona\nKdHiL0UnrgP8WKQAX0RERETCTTn4ERaLo+iIiIiISPzrVKPoxAq14Eu80mNmEZHg6dop0aIWfBER\nERGRTkIt+CGmFnwRERERCTe14EeYcvBFREREJByUgx8FasGXeKU8UhGR4OnaKdGiFnwRERERkU5C\nLfghphZ8EREREQk3teCLiIiIiHQSCvDDQJ1sJR7pOysiEjxdOyXS1Mk2CpSiI/FKHcVERIKna6dE\ni78UHQX4IaYAX0RERETCTTn4IiIiIiKdhAJ8EQGURyoi0h66dkosCjrAN8bUG2PqOvi6PxwfJlao\nk62IiIiIhENYOtkaY+qB3Q2v9rgEKLTWLmzn8TFNOfgiIiIiEm7+cvC7tPOcK9oboDfcIIiIiIiI\nSBhEKwff692GiESP0spERIKna6fEova04PcGqjpQZkePFxERERERHzQOfogpB19EREREwi0cOfiB\nFHoqcDFQDayx1taFqywREREREXF0OAffGHOrMWajMSanyboxwHbgf4HVwAZjTGZHyxKR8FEeqYhI\n8HTtlFgUik62/x+AtfZgk3UPA1nAs8AfgbHArSEoKy5oHHwRERERCYewjIPf6gTGlAF/tNb+sGG5\nF7AXeKbJur8BydbaMR0qLA4oB19EREREws1fDn4oWvB7AvubLF+EMwzmy03W/R+QG4KyREREomLp\n8qXRroKISEBCEeCXA6c2Wb4EqAfWN1lngVNCUJaIhInSykR8Ky0tpWhJEWVlZdGuisQYXTslFoUi\nwP8Y+JYx5lRjTBYwHdhkrT3UZJ/BOGk7IiIiceeJ55/g0NRDPPGrJ6JdFRGRNoUiB/8a4BXgGFAH\nZAA3Wmt/1WSfPThB/3c7VFgcUA6+iEj8W/jwQv70tz9xSqbz8Lmssozic4o5/e+n079bfwCOVh3l\nmxd8k/vn3h/NqopIJxXWcfCtta8ZY24BftSw6tctgvvLgG7AGx0tS0TEn6XLl3L3bXdHuxoSIdZa\nTtSf4HjdcY7VHXPeTxxrXG76c8ttbS1XDq5k5x938tWwryD9ZJnF5xRTTDHUwLAPhzHuinF89vVn\n9Onah26p3TDG699aEZGICkUL/iVApbX2w9BUKb6pBV/ilcvlIi8vL9rVaLfS0lLOuuiPxommAAAg\nAElEQVQstq3fRv/+/aNdnYRhraW2vtZrMNyewNnrcgfOaQnj9bYGeAuYTLMgnxpgLTCl+fr0Lun0\n6dqHvl370iezD30yG37u2vrnrqlddTOQIOL92inxK9wz2a4DfgnMDsG5RETapWmO9OJ5i6NdnaDU\n23qO1x0PaQu0r0A62GOO1x2P9q/Hr2STTFqXNFKTU0lLbnj3suxzm59jUpNTOXHVCR5Y9AB7LzzZ\njSzn/Ryu+ck1VJgK9h3Zx94je9lXtY/q2mrcFW7cFe42652RkuHcBDS5IWi8Meja/OeuqV3D+BsU\nkUQUihb8/cCvrLU/CU2V4pta8EUiI9gc6br6uvC1QDc9VzvOcaL+RDR/lW1KSUrxGwQHFFgHcUyg\nwXlqcirJSclh/eylpaWMmzOOr/p8xZBdQygZWsKp+07l/aXvt3pSdOT4ESfYP7KPfVX7Gn/23AA0\nXVdzoibgOmSmZDZ/CuDtxqBhe2aqJo0X6Sz8teCHIsB/ERhkrZ3YoRMlCGOMLSgoIC8vT4/sRMKk\n4mgFm3dt5gd3/4Bd5+1qnj7hUQNJ65JIvTyV2tRa6mxdxOsZDE/AGlCrcxCt0B0NrFOSU0gyoRhw\nLT7NWzSPZ//6LDdefCOLfrqIBT9fwHP/9xyzLpvFg/c92K5zWmtP3gxU7Wt2E+Bt3dETRwM+d9fU\nrq2fAjS5CWh6g5CRktGu+otIdLlcLlwuF0VFRWEN8EcA7wFPAEXW2toOnTDOqQVf4lWs5ZHW1NZQ\nfLCYHV/vYMfXO/js4GeN7/urGubWCzJHOi05LazpHO0NrFOSUpSPHaMeXPYgV025inPPPrdx3dZ/\nbGX1W6uZd+e8sJdvraXyeKXXJwNNbwg8647VHQv43N1Su/l9MtD05/QUb3fRArF37ZTOI9wt+CuA\nYcAknLHutza8tzqxtfbfOlRYHFCAL/EqGn+kautqKakocQL3r50AfsdB5+c9h/f4PC69SzrDew5n\neM5wBqUN4oXlL7Dvon2N24f8bQirf7maXj17NQbSXZK6KIiWhGat5fCxw16fAuw7so+9Vc1ThoLp\nX9E9rbvfJwNNfz6lS+ea11IBvkRLuAP8+kD3tdYm/HNeBfgizdXbevYc2tOsFd7zc0l5ic/UmS5J\nXRiWPYzhPYczImeE895zBCN6jqBft36NaSPB5EiLiMNay6Fjh9p8MuC5IaitD/zhfPe07m12HPb8\nnNYlLYyfUiSxhTvAzw10X2utu0OFxQEF+NIZWWvZV7WvWUu8J5gvPljsM23AYBjUY1Bj4D48xwni\nh/ccTm5WLl2S2h7oKxw50iJykrWWiqMVbT4Z8CwHczPQI61H66cAXp4M9M7sHbM3A5p/Q6IlrAG+\nNKcAX+JVII+Zy2vKW7XCe4L6yuOVPo/r27VvswDe8/OwnGEdfpwf7RxpETnJWkv50fKAngzsq9oX\n1AhSWadkNX8KkNk6PchzM5CanBrGT3lSaWkpo8aM4tPNn+qJoURcuFvw+1hr97W9Z3wyxriBQV42\n/clae7WX/RXgS1zyBPhVx6saO7e2DOa/qv7K5/FZp2QxsufIVik1w3OG0y2tWwQ/iYjEg3pbT3lN\neZtDinpuCIIZCSv7lGyvTwZapgp19Gbgvgfv46F3H+K+i++Lu/k3JP6FO8A/DrwC/NJau7ZDJ4tB\nxpieQNOBlvsBHwD51tpfedlfAb7EvON1x9lVvstrSk1ZZZnP4zJSMlq1wntSanqm91QnVhEJi3pb\nz8Gag63Tg7wML7q/an9QNwM56TltPhnok+ncDDz0yENBzb8hEk7hDvD/AXyjYbEYeBpYYa39ukMn\njlHGmPnAT4DTrLWtEosV4EusqKuv4/NDn3tNqXFXuKm33vvHpySlMCxnmNeUmn7d+imIF5GYVm/r\n+br66zY7Du+rcm4GfF0Lvckmm5o3ajh6yVGf82+M/WQsf3nuL2RlZYXuQ4l4EfYcfGPMhcAPgX8B\nTgGOAS/jtOr/tcMFxAjjRDY7gdettXf42EcBvkSMtZYvj3zZqhV+x9c72Fm+0+cweAZDblZusyC+\npriGad+cxqAegwLq3CoiEu/q6uv4uuZrn08Gmt4kHKg+4NwMtJx/owQYAtTAmE/GsOa5NQruJSIi\n1snWGJMFzMQJ9j2t+ttxWvWfs9aWh6ywKDDGTAX+DJxrrf2Hj30U4EvIHaw5eLIV/uvPGseK/+zg\nZxw5fsTncf269WueStPwPjR7aKsRKTSWs4iIb3X1dXxV/RX7qvZR/EUxt/30NvZetPdkgP8GDPzW\nQO7Ku4ubz7uZHqf0iHaVJcFFZRSdJq361+Hc49YALwGPW2s3haXQMDPG/A4YaK2d4GcfBfjSLkeO\nH2kM2lum1BysOejzuJ7pPU+OEd+kc+vpOafTNbVrBD+BiEjn0HT+jcE7B1MytATjNtSNrIPuzizB\ns86fxR3j7yA3Kzfa1ZUEFa0AfyTwI+BGIBtnZltPJf4A3GSt9R21BF7ONOBSYDRwLtAV+I21dqaf\nYwYAC4ErgBzgS5yOwkXW2gofx/QG9gCzrbXP+Dm3Anzx6diJY+ws3+k1pebLI1/6PK5ratdWrfCe\nzq056TkR/AQiIuJr/o1Lz7mUr875CpfbBUCSSeJ7Z3yPuyfczcSBE6NbaUk4kUzRSQW+hxPYX9Kw\negfwFLASJwj/d5zAepW1dnoIytwCnANUAmXAKODX1trv+9h/GLAe6IUT1G8HxgOXAZ8CF3m78TDG\n/DswH6dzbbWf+ijA7+Tq6uvYfWi315Sa3Yd2++zQlZqcyuk5p3tNqenbtW/YO7cqRUdEJDBN59/w\nXDubzr+x+cvNLH1vKb/96LeNY/1PGDCBORPm8J0zvqN+ThISkehkOxwnHScf6AnUAa8BT3gbOtMY\n8xIwxVqbHYKy84A91tqdxphLgXX4D/DfAC4HbrfWLm+y/hfA3Tgdg29tcYzBCf7XWWt/1EZ9FOB3\nAtZavqj8wutY8TsP7vQ5k2OSSWJI1pDGseI9rfAjeo5gYPeBJCclez0uEhTgi4gEz9+1s+xwGcs3\nLeep95+i/KjTDXFwj8HcOf5Obj7/ZrqndY9gTSXRhHuYzLeAvIbFL4H/Bzxtrf3CzzH3AouttUkd\nKrz1efNw+rZ7DfAbWu8/A0qstcNabOsK7MVJJerTtJXeGHMZsAYYb619v406KMBPENZavq752utY\n8Z8d/IzqWp8PchjQfYDXlJoh2UMiNsOiiIjEhqrjVTy39TmWvreU4oPFgJOn/4Pzf8Ad4+9gcNbg\nKNdQ4lG4A/x6nFbzJ4BXrG17dgljzNnA+dba5zpUeOvz5uE/wJ+FM6JPq1b6hu2e1v1/sta+1c46\nKMCPM5XHKr12bP3s688aW1y86ZXRq9lsrZ4gflj2MDJTMyP4CUREJB7U23pe3/E6j2x4hL/udkYR\nTzJJTDtzGndPuJsJA3yO4SHSir8APxRJYGdaa7cHc0DDEJNeh5kMs5EN7zt8bP8MJ8AfjnOjIAni\n6Imj7Dy402tKzd4je30e1y21m9dZW4fnDCc7vcMZZjFFKToiIsEL5tqZZJK4ZuQ1XDPyGj744gOW\nvreUF7e9yKptq1i1bRUTB0xkzsQ5fHvUt5WnLx3S4W9PsMF9lHkGpT3kY7tnfYdmqMjPzyc3N9c5\nUVYWo0ePbvzP73K5ALQchuUT9Sd48fUX2XN4D+mnp7Pj6x1sfHcjpYdL2d9rPxbrjFcMzpjFACWQ\nkpzCyLEjGZ4znFNKT2FA9wF8a+q3GNFzBB9v+hhjTLPyqg9Wk52XHfXPq2Uta1nLWo7+skewx1fu\nqGRWzix+fufPefxvj/PYqsfYULKB60qvIzcrl6tSruLK06/kqqlXxdTn1XL0lrds2UJFhTPYo9vt\nxp+gU3SMMZ8Aj1lrnwjqwBAd38a58/CfovM0MAuYZa191sv2xcC9wL3W2p+3sw5K0QmjeltP2eEy\nryk1u8p3NY5W0FKySWZo9tDGzq2N48b3HMGA7gNIMkkR/iQiIiInHTl+hOe2PMeyjcsa8/S7p3Xn\nB+f/gNsvuF15+tJKqFN0RgKndqA+HT2+Izwt9L6ml/Os9zoWvkSGtZYD1Qe8jhVffLCYmhM1Po8d\n1GNQq86tw3sOZ0jWEFKSUyL4KURERALXNbUrt11wG7eMvcXJ03/vEd7e/Ta/2PALlr23jO+d+T3m\nTJjD+AHjo11ViQPtTdHJa+eY3OEdyLttnnSikT62D29495WjH5DCwkLy8vIaH6uId4eOHmrWodUz\nVvyOr3dw6JivLCrondm71aytw3OGMyxnGBkpGRH8BInF5XLpOysiEqRQXzuTk5K5dtS1XDvqWt7/\n4n2Wvre0MUd/1bZVXDjwQuZMcPL0ozm0skSPy+VqlSLWUntSdLzP0hOcImttUQjO00wAKTpDgWKc\nTOzTm+bSGGO64QzzaYHe1lrfzcT+66AUnSZqamsoPljsNaVmf9V+n8f1SOtxcoz4JuPFD88ZTo9T\nfD2AkY5QgC8iErxIXDtLD5fy+N8e55cf/JKKo06SwZCsIdw5/k7+7bx/o1tat7CWL7EppMNkNgTR\nHVVird0dgvM001aA37DPn4GpwB3W2sebrH8EuAt4ylo7uwN1iIsAf+nypdx9290hOVdtXS0lFSVe\nU2r2HN7j87j0LumNQXvLoSZPzTg17DO3ioiIxJMjx4+wcstKlr23jJ3lOwEnT/+H5/+Q28ffzqAe\ng6JcQ4mksM9kG03GmG8D325Y7IsTvO8C3mlYd8BaO7fJ/kOB9UBv4FWctJ3xQB7ObLUXWmt9D37e\ndn1sQUFBTKfolJaWctZFZ7Ft/Tb69+8f0DH/f3t3HiZVfeV//H2gG6RlaVxABZFFwIgCoggtiA2K\n4TEzZiMkv6xMNIsaFfnF/OIyAo7GiTMDZtQkGjUazaIxMdF5EpeoLQLdiAuiKIhCyza4QbN1A033\n+f1xq6ilF+juqrq1fF7PU09R935v3VOg3z717XPPbfRGNu7YGFuFjyupWbttLQ0t3P6gqFMRg3sP\nbrakpl/Pfrq4VUREpI0aGht44p0nmF85nxfXvwgEzSSmnzyd2WWzObPfmSFHKOkULdGZN29eXif4\nc4A5BKU1Cbsiz9XuPjjpmP7AjcA04EhgM/AYQelQy8XfhxZP1q/gX/uTa7ll3S1cO+Rabv7xzQe2\nuzsf7v6w2V7x7259lz379zT7foYxoNeAZvvFDywdqF6+OUIlOiIibRf23Bmt03/4zYcPLLZNOH4C\ns8tm89nhn1Wdfh7L6xX8bJONCf6N/3Ejf3vpbxx2+GEAbNi+gbWj19J3WV+6du5K3f46anfWUl9a\nz77T97X4Psd0P6ZJKU304tbDig7L1MeRNAn7h5SISC7Klrlzw/YNB+r0o40qBpUOYtb4WfzL6H9R\nnX4eUoKfQdlYolNTU8PUmVN5+aSXoVszA+qAZ4FzobR3KcOPHN6kX/yJR5xIz649Mxy5iIiItMWu\nfbv49Wu/5ralt7F221ogaFzxnTHfUZ1+niiIEp1sk40r+NBKkl8HA18ZyF0L7mLM4DEc2e1IXdwq\nIiKS4xoaG3h89ePMr5rPovXBZYmdrTNfGvElZo+fzdh+Y0OOUDpKK/gZlK0JPgRJ/pnfOJM1Z6w5\nsG3Yy8NY+uBSSktLQ4xMskG2/JpZRCSX5MLcuWzTsgP99KN1+hMHTGT2+NlcOPxC1ennqNYSfLUw\nKSC7du1iZ7edFH1cxNCXhlL0cRE7uu1g9+7dYYcmIiIiaTK231h+98Xfse7KdVx91tX06tqLResX\n8YVHvsCwO4Zx+9Lb2bVvV9hhSgplLME3szvN7Hozm2Bmed1WZe7cuQe9w1gY7rj/Dhq2NTDr6Fm8\n8ec3mHX0LBq2NXDnA3eGHZpkgWxfgRIRyUa5NHce3+t4bp16Kxuu2sDPpv2MQaWDWLttLVc8eQX9\n5/fnR8/8iA3bW75/jWSHiooK5s6d2+qYjJXomNlcoC9wCnAqsBSoAJ4HlmZtXUsbZXOJzk9u+wmf\nOfczjDp11IFtr7/xOn9/7u/8+MofhxiZiIiIZFpLdfozRsxgdtlszjjujJAjlNZkRQ2+mX3N3X8b\n+XN3YDrwLaAr0Au4IB13t820bE7wRVqTC3WkIiLZJl/mzpc2vcSCqgX8ceUfD9Tpnz3gbGaXzeaf\nh/2z6vSzULbU4I8xs8MB3H2Xu98P3OXuZwFfBP5vBmMRERERkYgz+53J77/4e9ZeuZYflv2Qnl17\n8uL6F/n8w59n+B3DVaefYzK5gj8KeCjy+AfwMfA9d782sv/r7v5QRoJJI63gi4iISK7buXcnv17+\na26ruo11NesAKD2slO+O+S6Xj7uc/j37hxyhZMUKvru/TrBSfyZB7f2zwKJIgDOAEzIVS7pl60W2\nIiIiIoeiR9ceXDHuCtZcvoY/zfgTE46fQM2eGm5dciuDfjaIr/35a7y8+eWwwyxIWXWRbatBmF0N\n9HX3H4YdS0dpBV9yVb7UkYqIZFIhzZ1LNy5lQdUCHn3r0QN1+pNOmMTs8bP5p2H/pDr9DMuWi2wv\nAY4g6J7zgrvXZ+TEGaYEX3JVIf2QEhFJlUKcO9+veZ/bX7qdX736K3bs3QHAiUecyJXjrmTm6Jl0\n79I95AgLQ7Yk+L8FHgfeBiYCu4EH3b0xIwFkiBJ8ERERKQQ79+7kvtfu47alt1FdUw0EdfrfO/17\n/ODMH6hOP82yIsFvcmKz3sB0d/9VKAGkiRJ8ERERKST7G/fz11V/ZX7VfJZsWAJAUacivjziy1w1\n/ipOP+70kCPMT1lxka2ZnWFmXzSzrgDuvg2oy9T5M0kX2Uou0n+zIiJtp7kzSOa/ePIXWfztxVRe\nVMmMETNo9EZ++8ZvOeNXZ1B+fzmPr36cxvwq2ghNVl1ka2b3A92Acwi66GwAjnf3r2QkgAzRCr7k\nqkKsIxUR6SjNnc2rrqnm9qW3c89r9yTU6c8aN4uZo2dyeJfDQ44w92VFiY6ZXQ78NvLyM0Af4A/u\nvikjAWSIEnwRERGRwI69O4I6/arbeH/7+wD0Pqz3gTr9fj37hRxh7sqWBL8I+DzwtLtvz8hJQ6AE\nX0RERCTR/sb9/GXVX5hfOZ/KjZVAUNrzlVO+wlXjr2LMsWNCjjD3ZEWCXyiU4Euu0q+ZRUTaTnNn\n21VuqGRB1QL+9PafDtTln3PCOcwuC/rpd7KMXSKa07LlItvBZtYl8udSM7vMzD6dqfOLiIiISPjK\nji/jkS89wntXvMfs8bPp0aUHL7z/Ap/9w2c56Y6T+Pmyn7N73+6ww8xpmSzR+SswFXgReAZYCEx1\n95szEkCGaAVfRERE5NDt2LuDe1+9l58t/VlCnf73z/g+PzjzBxzX47iQI8xOWVGiY2ZXAA8DI4Fz\nCerxf+fu8zISQIYowRcRERFpu/2N+3ns7ceYXzWfqo1VABR3Kj5Qp3/asaeFHGF2yYoSHWCfu3/g\n7s+4+4+BM4D1GTx/xqgPvuQi/TcrItJ2mjtTp6hTEV8a8SUqL6pkybeX8KWTv0SDN/DgigcZc/cY\nJj8wmSdWP9FqP/0Fdy7IYMThyLY++P8GfATc5e57I9u+4u5/yEgAGaIVfMlVulBMRKTtNHem17pt\n67j9pdu559V72LlvJwDDjhzGrHGz+Oaobyb009+4cSOnTDiFlUtW0q9f/rffzJYSnSLgl8CXCerw\ntwDu7hdlJIAMUYIvIiIiklrb92zn3teCOv3124MCkCO6HcH3T/8+l515Gcf1OI5rf3Itt6y7hWuH\nXMvNP86rSzyblRUJflwwI4HzgG3A7919T0YDSDMl+CIiIiLpsb9xP39++8/Mr5zP0seWwlagK/Tp\n3oeunbuyYcwGTlxxIv16BCv4e3bv4YIzL+CGq28IN/A0yEiCb2aXuvvPk7b1B/a7+5aUnCQHKMGX\nXKVfM4uItJ3mzvA8/ebTfOXSr7DtrG3QrZkBdXDG22fwzAPPUFpamvH40i0tF9ma2fHRvvYR/9zM\nsJ3Ad83sh+09j4iIiIhIsvNPOZ+1j6/l1DdPhbqknXme3B9Mu1fwzWwz0BuoIuhpPwU4L3oBbdLY\nscA57v6fHYg1J2gFX0RERCRzampqGPeNcbxzxjsHtg17eRhLH1ya18l9utpkng1cQ1D99H1gArDd\nzBaa2b+Z2XlmVgLg7suAvh04l4iIiIhIE7t27WJHtx0UfVzE0JeGUvRxETu67WD37sK9G267E3x3\nf8/db3P3L7p7X+Al4EpgM/Ad4GmgxsyWmtkjQFlKIhaRtFAvZxGRttPcGb477r+Dhm0NzDp6Fm/8\n+Q1mHT2Lhm0N3PnAnWGHFpqiFL7XNne/C7gLwMxGAJMJVvo7AZem8FwiIiIiIvTs3pNn5j/DqFNH\nAfAfN/wHX3/j6/z9ub+HHFl4UtlFZ4a7P5KSN8thZuZz5syhvLxcV9WLiIiISEpVVFRQUVHBvHnz\nwu2Db2Z9gKvc/Zq0nyxkushWRERERNItXRfZHsqJjzSzW4G1wI/SeS4R6RjVkYqItJ3mTslGqazB\nP8DMegNXAz8Aukc2a1lbRERERCTNUlqiY2alwGyCbjo9gF3Az4BPAV9w97T+xiAbqERHRERERNIt\n7SU6ZtbTzOYA64DrI+97KzDQ3f8VqEnFeUREREREpHUdSvDNrLuZXUeQ2M8BugALgMHu/mN335qC\nGENlZsea2QNm9qGZ1ZnZSjObFHZcIqmmOlIRkbbT3CnZqF01+JE71F4O/BA4EtgL3A7c4u5bUhde\nuCIlR4uBhcAFwEfAYODDMOMSEREREWlJu2rwzawaGADsA+4Dbnb3Ta2Mvwf4dq7V4JvZT4Cz3f3s\nNhyjGnwRERERSat01OBfAawEfg7Mai25z3GfA14ys4fN7AMze83MLgs7KBERERGRlrQrwXf3x4GR\nwFLgf8zsUjMrTmlk2WEwcCnwLnA+QUegf1eSL/lIdaQiIm2nuVOyUbtLZjzwMDAN2A78zcy+Y2ad\nUxZd+DoBr7j7de7+urvfD/w3oARfRERERLJSh2vi3b3R3X9LkOjvA/5uZjPNLO319mY23cxuN7MX\nzWyHmTWa2YMHOaa/md1nZpvNbI+ZrTOzBZELapNtBt5K2raK4PoDkbxSXl4edggiIjlHc6dko5Ql\n4e7e4O4PEHSb6USQ6H89zYn+9QSr6SOBjdFQWhpsZkOAV4CZQBUwH1hLcGOuSjM7IumQxcBJSduG\nAdUdjFtEREREJC1Snny7+353vw/4J6AE+BtwGq0k3h0wCxjq7r2ASw5h/M+Bo4HL3f0L7n6tu59L\n0Lt/OHBz0vgFwHgzu9bMTjSzLxG0B70zdR9BJDuojlREpO00d0o2StvqurvXu/vdwIXAvUDKO+24\ne4W7vxd52WyboKjI6v1UYJ27Jyfoc4Ba4OuRHv/R93+ZoJPODOAN4N+A6939Fyn6CCIiIiIiKdWu\nPvjtOpFZJ3dvTOP7lwPPAQ+5+zeb2X8xcDdwl7s3We03s6cIvgCc5+7PdSAO9cEXERERkbRKRx/8\nNktncn+Ihkee32lh/5rI89AMxCIiIiIikhZFYQeQQb0iz9tb2B/d3lw3nTaZOXMmAwcODN6stJTR\no0cfuMo+Wqun13qdba/j60izIR691mu91utceB3dli3x6HX+vl6+fDk1NTUAVFdX05qMleik2yGU\n6NwNXAxcHLkIOHn/zcA1wDXu/tMOxKESHclJFRUVByYSERE5NJo7JSxZUaKTBaIr9L1a2B/dXtPR\nE82dOzfhm71ILtAPKBGRttPcKZlWUVHB3LlzWx1TSCv4FwG/Au529+83sz96ke257v58B+LQCr6I\niIiIpJVW8APRpH2qmSX8ZZhZD2ACsJvgBlgiBUe/dRIRaTvNnZKNCibBd/e1wNPAIIK738abR3BT\nrgfdva6j51KJjoiIiIikQ96X6JjZ5whuRAVwDHA+sBZYFNn2kbtfHTd+MLAE6AP8FVgFjAPKgdXA\nWe6+rYMxqURHRERERNKqtRKdXE/w5xDchTb5Q0Q/bLW7D046pj9wIzANOBLYDDwGzHP3llpotiUm\nJfgiIiIiklZ5m+BnIyX4kqvU6k1EpO00d0pYdJFthqkGX0RERETSIe9r8LORVvBFREREJN20gi8i\nIiIiUiCU4IsIoF7OIiLtoblTspES/DRQDb6IiIiIpINq8EOgGnwRERERSTfV4IuIiIiIFAgl+CIC\nqI5URKQ9NHdKNlKCnwaqwRcRERGRdFANfghUgy8iIiIi6aYafBERERGRAqEEX0QA1ZGKiLSH5k7J\nRkrwRURERETyiGrwU0w1+CIiIiKSbqrBzzB10RERERGRdFAXnRBoBV9yVUVFBeXl5WGHISKSUzR3\nSli0gi8iIiIiUiC0gp9iWsEXERERkXTTCr6IiIiISIFQgi8igHo5i4i0h+ZOyUZK8EVERERE8ogS\n/DRQm0zJReoCISLSdpo7JdPUJjMEushWREQkv9XW1lK1cCGVjz5K3fr1dBswgLLp0xk/aRIlJSVh\nhycForWLbJXgp5gSfMlV6uUsInJwN8yYQddlyyjbtInx9fW8BJwJVBUXU9mvH3vHjuXGRx4JO0wp\nAK0l+EWZDkZEREQkF9XW1tJ12TKuq65O2F4CTKmvZ0p1NTdFxmklX8KkGnwRAVRHKiJyMFULF1K2\naVPCtvKkMWWbNlG1cGHGYhJpjhJ8ERERkdY0NsKaNVTeeivj6+tbHVpWX0/lo49mKDCR5qlER0QA\n1eCLiACwZw+8+SYsXx57vP467NpFHUE5TrwKElfxS4C6hQthxQo49VSwZkukRdJKCb6IiIgUpk8+\nSUzkly+Ht9+GhoamY487jm6dOlG7cWOTJD9eLdBtzRoYNQqOOw4+/engMXUqHHFEuj6JSAJ10Ukx\nddERERHJMu5QXQ2vvZaYzG/Y0HRsp04wfDiMHh17jBoFffvy3JNPwoUXMqWVMrGF0Z4AAB35SURB\nVJ1nO3fGJk9myptvwpYtie87dixMmxYk/GeeCZ07p/6zSsFQm8wMUoIvIiISon374K23mibzO3Y0\nHVtSAiNHJibzp54abG9GbW0tC0aMaNJFJ95NAwcye+VKSrp1C8p0nnwSnnoKFi2C+C8GvXvDeefF\nEv5+/Tr4waXQKMHPICX4kqtUgy8iOaemJqiPj0/m33orMZGO6tMHTjstMZkfOrTNq+g3zJhBl0gf\n/LK4PviVkT74+1rqg79rFzz/fJDwP/kkrF2buP+UU2LJ/tlnQ9eubYpLCo8S/AwyM58zZw7l5eVK\nliSnKMEXkazlHpTTJK/KN7eSbhYk7vGJ/OjRcOyxKQsn/k62q5Yv56TRo9t+J9t33w1W9p98Mkj8\nd++O7SspgcmTg2R/2jQ48URdrCsHVFRUUFFRwbx585TgZ4pW8EVERDqgvh5WrWqazG/b1nTsYYcF\nJTXJJTY9emQ+7o7YuxcWL46V86xYkbh/0KDY6v6UKbn3+SQttIKfQUrwRUREDtGOHUEyG5/Mv/lm\nUEef7Mgjm5bYDB8ORXnYEHDzZnj66SDhf/rpxC83RUUwcWJsdX/UKK3uFygl+BmkBF9ylUp0RCRt\n3IOkdfnyxGT+vfeaHz9kSNMSm379sjKRTfvc2dAAL78cW91fujS48VZU376JrTiPPjp9sUhWUYKf\nQUrwJVcpwReRlNi/H955p2ky//HHTcd26RJcXBqfyI8cCb16ZT7udsr43Ll1Kzz7bCzh37Qpts8M\nTj89WNmfNg3GjcvP33AIoAQ/o5Tgi4hIwdi1C954IzGZf+ON4G6wyUpLm5bYnHRSkORL+7jDypWx\ni3UXLkwsb+rVK2jFGV3hHzAgvFgl5ZTgd4CZzQVuSNq8xd2Pa2G8EnwREck/W7bEVuOjyfyaNUGS\nmWzgwKYlNgMGZGWJTV7ZvRteeCG2uv/OO4n7P/Wp2Or+2WdDt27hxCkpoQS/AyIJ/gygPG5zg7t/\n0sJ4JfiSk1SiIyJAUPP97rtNk/kPPmg6tqgIRoxoetfX3r0zH3dIsnruXLs2SPSfeioo69m1K7bv\nsMOgvDx2se7w4foClmNaS/BVmHVoGtz9w7CDEBERSana2qBrTXwyv2JFsD1Zz55NV+VPPlk3ZMpm\ngwfDJZcEj337oLIytrr/2muxm25ddVXwG5bo6v6UKTl1HYQ0pRX8g4is4F8N1AB7gaXAte6+roXx\nWsEXEZHs89FHiX3lX3sNVq9O7MgSdfzxTZP5QYO0wptPtmyBZ56JteKMvwi6c2c466zY6v5pp0Gn\nTuHFKs1SiU4HmNk0oDuwCugLXA+cBIxw963NjFeCLyIi4WlsDEozkktsNm9uOrZz56AuO7nE5qij\nMh+3hKexEV59Nba6X1kZlGpFHX00nH9+kOyffz706RNerHKAEvwUMrPDgbXAv7v7gmb2K8GXnJTV\ndaQi0rw9e4IuKvHJ/OuvJ9ZaR3XvHiTv8cn8iBG60LKD8nLurKmB556LJfzr1yfuHzMmtrpfVgbF\nxeHEWeDyugbfzKYD5wCjgVEEq+2/dfdvtHJMf+BGYBpwBPC/wF+Aee5e09r53H23ma0ETkzNJxAR\nETkEW7c2LbF5++3Eldao445rWmIzZIjKLOTQlJbCF74QPNxh1apYK84XXghW+199FW65BXr0gHPP\nDZL9T3866KAkocv5FXwzWw6MBHYCmwjKZx5y92+2MH4IsAQ4miCpXwWMAyYDq4EJzZXexB1/GLAO\nuNPdb2pmv1bwRUSk/dyhurppMr9hQ9OxnToF3U+SS2z69s142FIg6uqCfvvR1f23307cP3x4bHX/\nnHOgpCScOAtAXpfomFk5sMHd3zOzc4DnaT3BfwqYClzu7nfGbf8v4CrgLne/JG77fwKPAxuAPsC/\nAhOBU929yWyrBF9ERA7Zvn3w1luJyfzy5bB9e9OxJSXBXV7jk/lTT1UCJeFavz62uv+Pf8COHbF9\nXbvCpEmx1f2TT9aF2imU1wl+vEiy/xwtJPiR1fs1wDp3H5K0rzuwBXCgr7vXRrb/HpgEHAV8BFQC\n/+ruq1qIQQm+5KS8rCMV6aDa2lqqFi6k8tFHqVu/nm4DBlA2fTrjJ02ipK2JdU1NUB8fn8ivXAn1\n9U3H9unT9K6vQ4cGF8VKVtHcGae+HpYuja3uv/xy4v7+/WOr++edF5QCSbvldQ1+G02OPD+dvMPd\nd5nZYoLV/fEEXxRw9/+TufBERCRb3DBjBl2XLaNs0yauqq+nBKgFqn7zGxb068fesWO58ZFHmh7o\nHpTTJJfYVFc3HWsGw4Y1rZc/9tg0fzqRNCguhokTg8dNNwWtWaOtOJ96CjZuhHvvDR6dO8O4cbHV\n/dNP1xfYFCq0BH945PmdFvavIUjwhxJJ8Ntj5syZDIxcZFJaWsro0aMPfLuvqKgA0Gu9zrrX5eXl\nWRWPXut1mK9ra2vZtHAh3/jggwO3Ma+IPE+pr2dKdTUX1dXx5P/8D9NOOAGWL6fiiSfg3Xcpf/99\n2Lr1wPgDxxcXw+DBlE+aBKNHU9HYGLy+4ILE80eS+2z6+9BrvW73669+Fb76VSqeew7ee4/yjz+G\np56i4sUXYckSypcsgRtuoKJnTzj9dMq/9S04/3wqVq/Ojviz6PXy5cupqQl6wVQ3t2AQp9BKdO4G\nLgYudvf7mtl/M3ANcI27/7SdMahER0Qkxz335JNw4YVMaa58JuJZwIqKmLJ/f9OdRx7ZtMRm+HAo\nKrR1NZEW7NgBzz8fu5tucsI6alRsdX/CBOjSpcW3SmkpXQ5RiY6IHFRFRcWBlQKRQlf5xz9yVSvJ\nPUAZsGD/fqYMGdK0xKZfP11MWCA0d7ZTz57w2c8GD3dYsyZWyvP888H1Kq+/Dj/9aXAPh8mTYwn/\nkNhllO0upctzhZbgR9sS9Gphf3R7q73wD2bu3LmUR0oeREQkB+zfDytWwOLFsGgRdX/5Cwdb9ysB\n6srLg2RERNovei3KsGFwxRXBDdwWLYol/G++CU88ETwATjwRpk2j9pxz6PrSS1z3/vsJb1dCrJTu\nJoIV/nxaya+oqDhQwtOSQivRuQj4FXC3u3+/mf3RFprnunu7ZmyV6IiI5IDdu4NuH4sWBY/KyoS7\nv95M0De5tZSgFlhw0UVcd889aQ5WpMBt3AhPPx0k/M88E3SkInax5JRWDn22uBh7/HGmTJuW9jAz\nTSU6MdGkfaolZeJm1gOYAOwGqsIITkRE0mTLlgOr8yxaFHS1Sb4D7JAhQa3vxImUuVP1gx+0WoNf\nWVxM2fTpaQ5cROjfH7797eCxfz8sWwZPPknlL37BVR991OqhZfX1LHj00bxM8FtTUAm+u681s6eB\n84HLgDvids8jWKz5pbvXdeQ8KtGRXKQ6Uskb7rB6dSyZX7QI3nsvcUznzkFbvmhLvwkTElpTjq+t\nZcEttzCllU4Vlf36MXvSpDR9CMkVmjszrKgIysqgrIy6ykpKnnmm1eElQN369ZmJLUMOpUQn5xN8\nM/sc8LnIy2Miz2eZ2f2RP3/k7lfHHXIpsAT4bzM7F1gFjCPoZLYauK6jMc2dO7ejbyEiIodq7154\n9dVYMr94MXzySeKY7t1h/PhYQj9uXLCtBSUlJewdO5abgLJNmyiLu3ivsriYyn792Dd2bF7V9Yrk\nmm4DBlDLwUvpug0YkKGIMiO6iDxv3rwWx+R8Db6ZzQHmENyBNmFX5Lna3QcnHdMfuBGYBhwJbAYe\nA+a5ezP3B29TPKrBFxFJp5oaWLIkltAvWxZclBfv2GNjyfzEiTByZLtaVBZq+z2RXHBI7WwLtAY/\n5xP8bGNmPmfOHJXoiIikgjusX5+4Ov/mm8H2eCefnJjQDxyoNpUiea62tpYFI0ZwXSuldDcNHMjs\nlSvz6gt5tERn3rx5SvAzRSv4kqtURypZoaEB3ngjlswvWhR00IjXpQuMHRtL5svKghtLiYRAc2e4\nbpgxgy6RPvgtldLlax98ddEREZHsVFsbtKuMJvNLlsDOnYljevc+0N2GCRPgjDPgsMPCiVdEssqN\njzxyoJRuQVIp3ewCLqXTCn6KaQVfRKQVH36Y2K7y1VeDtnfxBg2KJfMTJ8KnPgWdOoUTr4hIltIK\nfoapTaaICLHbz8e3q1yzJnFMp04wZkziCn2/fuHEKyKSAwruTrbZQCv4kqtURyodtm9fcAOp+Ati\nk29CU1KS2K5y/Hjo0SOceEVSQHOnhEUr+CIiknrbt0NlZSyhf+klqEu6T2DfvondbUaNguLicOIV\nESkQWsFPMa3gi0je2rAhcXV+xYqm7SpPOikxoR88WO0qRUTSQCv4IiLSNg0NsHJlYkKffLv34uKg\no000mT/rLDjqqHDiFRGRA5Tgp4EuspVcpDrSAldXF5TYRJP5JUuCEpx4vXolXgw7dix06xZOvCJZ\nQnOnZJousg2BSnQkV+mHVIH56KMgkY+2rHzlFUi+3fsJJ8RW5ydMgBEj1K5SJInmTglLayU6SvBT\nTAm+iGQdd3j33cT+86tXJ44xCy6AjSbzEybA8ceHE6+IiByUavBFRApJfT0sX57Yf/7DDxPHdOsW\ntKiMltyMHx+U4IiISM5Tgi8igH7NnNN27ICqqlgyv3Qp1NYmjunTJ5bMT5wIp52mdpUiKaC5U7KR\nEnwRkVyzaVPi6vyKFdDYmDhm2LDEdpUnnqh2lSIiBUIJfhqoi47kIv33mqUaG+GttxLbVVZXJ44p\nKgo62sS3q+zTJ5RwRQqN5k7JNHXRCYEushWRDtmzB5YtiyXzixdDTU3imJ49gyQ+mtCPHQslJeHE\nKyIiodBFtiJyUKojDcknnyS2q3z5Zdi3L3FM//5w9tmxDjennAKdO4cTr4gk0Nwp2UgJvohIprjD\n2rWJ7SrffjtxjBmMHJnYf37AgHDiFRGRnKQSnRTL5hKd2tpaqhYupPLRR6lbv55uAwZQNn064ydN\nokS/3hdJvf37g3aV8Qn9li2JYw47DMaNiyX048dDaWk48YqISM7Qja4yKFsT/BtmzKDrsmWUbdrE\n+Pp6SoBaoKq4mMp+/dg7diw3PvJI2GGK5LadO4MWldFkvqoKdu9OHHPUUYmr82PGQJcu4cQrIiI5\nSzX4Ba62tpauy5ZxXVLnjRJgSn09U6qruSkyTiv5hUt1pO2weXPi6vzy5U3bVQ4dGkvmJ04M2leq\nXaVI3tDcKdlICX4aZFubzKqFCynbtKnVMWWbNlG1cCFTpk3LUFQiOaaxEVatSuw/v25d4piiIjjj\njFgyP2EC9O0bTrwiIpKX1CYzBNlYonPzxRdz1b330trafC2woLSU6wYPDmqC2/Lo2rXtxxQXaxVT\nstvevUFHm2gyv2QJbN2aOKZHDygri5XcnHkmHH54OPGKiEhBUYlOgatbv77V5B6Ccp26mhp49dVM\nhBQk9239UpCKR/TLSJcu+oIhibZuDZL4aP/5ZcuCJD9ev36Jd4c99VS1qxQRkayjBL8AdBswgFo4\n6Ap+t89/Hq67LrjRTrof+/dDXV3wCEsYXzCijyz8gpGrdaTt6g7lHtwNNprML1oEK1c2HXfKKYkJ\n/YABWffvJiLhytW5U/KbEvwCUDZ9OlW/+Q1T6utbHFNZXEzZd78Lp5+emaD27w9WRw/2ReBQxrTn\nUV8f+3NY0lkCdSjvmQeJanx3qKviu0P95jcsiO8OtX8/rFiReEHs5s2Jb9a1a1BiE03my8qgd+8w\nPpaIiEiHqAY/xbKxBr+2tpYFI0Y06aIT76aBA5m9cmXhdNFpaEj9l4e2vF/ynUrDkK4vDoc6rlOn\nDoV/SP9dl5Yye8wYSl56CXbtStx5xBGJ7SpPPz2IS0REJAeoBr/AlZSUsHfsWG4i6JZTFrfSWRnp\ng79v7NjCSe4hqJsuKQkeYWhsTN9vJw71C8bevcFj+/Zw/g66dOnQl4mq99+nbP36Vk9RVlND1XPP\nMQVgyJDEdpXDh3f4S4aIiEg20gp+imXjCn6U7mQrBzQ2Bkl+XNJfsXAh5SNHZuYLRvLFq+1wM3AV\nB7+2ZMGUKVz30ENw7LEdPqeISDLV4EtYtIIvQLCSP2XaNPW6l2DlOroaHlVdDaNHZ+b8zXzBaGvZ\nU93991PSSnkORLpDde6s5F5ERAqKEnwRAcjsClRzXzDaqNuGDdQewv0dug0Y0O5ziIgcjFbvJRup\nADUN5s6de9A7jIlIx5RNn05VcXGrYyqLiymbPj1DEYmIiKRfRUUFc+fObXWMavBTLJtr8EVak2t1\npOoOJSLZINfmTskfqsEXkbyj7lAiIiLN0wp+imkFXySz1B1KREQKUWsr+ErwU0wJvoiIiIikW2sJ\nvi6yFREAXRguItIOmjslGynBP0Rmdo2ZNZrZ7WHHIiIiIiLSEpXoHAIzGw/8DtgBLHT3K1oZqxId\nEREREUkrleh0gJn1Ah4C/gXYFnI4IiIiIiKtUoJ/cHcDf3T3F4BmvyWJ5APVkYqItJ3mTslG6oPf\nCjP7DjAY+Gpkk2pvRERERCSrqQa/BWY2HHgRmOju70S2VQBvuPvlrRynGnwRERERSau8rcE3s+lm\ndruZvWhmOyJdbh48yDH9zew+M9tsZnvMbJ2ZLTCz0qShZcBRwEozqzezemAScKmZ7TOz4jR9LBER\nERGRdsvpBB+4HrgMGAlsjGxrcfnczIYArwAzgSpgPrAWuBKoNLMj4oY/BpwCjIo8RgMvA78HRrt7\nfSo/iEjYVEcqItJ2mjslG+V6gj8LGOruvYBLDmH8z4Gjgcvd/Qvufq27nwssAIYDN0cHuvt2d38r\n7rESqAW2uftbqf8oIuFavnx52CGIiOQczZ2SjXI6wXf3Cnd/L/Ky1Q43kdX7qcA6d78zafccguT9\n62ZW0top0YW2kqdqamrCDkFEJOdo7pRslNMJfhtNjjw/nbzD3XcBi4HDgfEtvYG7T27tJle5JOxf\nKWbq/Ok8TyrfOxXvFfa/qaReIf2b5sJnzYYYNXem/r2y4d9VUkf/noFCSvCHR57faWH/msjz0AzE\nErqw/wfQD6nUv1dH36O6urrDMUhqhf3/aSblwmfNhhg1d6b+vTR35pds+P80G+RNm0wzKweeAx5y\n9282s/9u4GLgYne/r5n9NwPXANe4+087EEd+/IWKiIiISFZrqU2mbnSVYi39RYuIiIiIZEIhlehs\njzz3amF/dLuulhERERGRnFVICf6qyPPwFvZHa+9bqtEXEREREcl6hZTgPx95nmpmCWU0ZtYDmADs\nJrgBloiIiIhITiqYBN/d1xK0yBxEcPfbePOAEuBBd6/LdGwiucjMJpnZ42a20cwazexbYcckIpKt\nzOxSM1tnZnVm9rKZTQw7JslfOX2RrZl9Dvhc5OUxkeezzOz+yJ8/cver4w65FFgC/LeZnUtQtjMO\nKAdWA9elO2aRPHI4sAJ4APgNugmciEizzOzLwG3AJcAigoXGv5vZye6+IdTgJC/ldJtMM5tDcBfa\n5A8RLcGpdvfBScf0B24EpgFHApuBx4B57r4dEWkzM9sJXObuvwk7FhGRbGNmS4Hl7v69uG3vAI+6\n+7XhRSb5KqcTfBHJDkrwRUSaZ2ZdCK7x+4q7/ylu+x3AKe5eHlZskr8KpgZfREREJARHAZ2BD5K2\nf0isvFgkpZTgi0irzOxrZrYz7jEh7JhERESkZUrwRfKAmU03s9vN7EUz2xHpavPgQY7pb2b3mdlm\nM9sT6e6wwMxKk4b+FRgV93glTR9DRCQUaZ5DPwYagL5J2/sC/5vCjyFyQE530RGRA64HRgI7gY3A\nSbTS1cbMhhB0lDoa+AuxjlJXAtPMbIK7bwVw913ArrRGLyISrnTOofvM7BXgfOBPcW8zFfhj6j+K\niFbwRfLFLGCou/ciaMN2MD8n+MF0ubt/wd2vdfdzgQUEd3u++WBvYGaHm9loMxtNMJecEHl9fPs/\nhohIKNI9h84HZprZRWb2KTP7GUH9/S9T9xFEYtRFRyTPmFk58BzwkLt/s5n9Q4A1wDp3H5K0rzuw\nhWDlqq+71x7CeYiMj7anvd/dv93BjyEiEop0zaFmdgnwI+BY4A3gKndflK7PIYVNK/gihWdy5Pnp\n5B2RcpzFBDexGt/am7h7hbt3ijw6x/1Zyb2I5LN2zaHu/gt3H+Tuh7n7WCX3kk5K8EUKz/DI8zst\n7F8TeR6agVhERHKN5lDJekrwRQpPr8hzS3dujm5P7gQhIiKaQyUHKMEXEREREckjSvBFCk90dalX\nC/uj22syEIuISK7RHCpZTwm+SOFZFXke3sL+aN1oS/WlIiKFTHOoZD0l+CKF5/nI81Qzs/gdZtYD\nmADsBqoyHZiISA7QHCpZTwm+SIFx97UE7d0GAZcl7Z4HlAAPuntdpmMTEcl2mkMlF+hGVyJ5wMw+\nB3wu8vIYgluirwWifZY/cver48YPJrjNeh/gr8Rus14OrAbOcvdtGQleRCRkmkMl3yjBF8kDZjYH\nmENw98SEXZHnancfnHRMf+BGYBpwJLAZeAyY5+4ttX8TEck7mkMl3yjBFxERERHJI6rBFxERERHJ\nI0rwRURERETyiBJ8EREREZE8ogRfRERERCSPKMEXEREREckjSvBFRERERPKIEnwRERERkTyiBF9E\nREREJI8owRcRERERySNK8EVEJG3M7H4zazSzAe08vsLMGtt4TKOZPd/M9mPM7AEz22hmDZFxPdsT\nl4hINisKOwAREcl7HsLxzR1zPzAV+B3wbmTMXjOrACa5uxa9RCQvKMEXEZF0swyf7ySgNiEAsy4E\nyf0z7v6NpH3Q8S8hIiJZQwm+iIjkFXd/p5nNxxB80dic4XBERDJOv44UESkwZjYwUn/+azMbZmYP\nm9mHkbr0SZExnzazv5nZx2a2x8zeNbNbzaxXC+95npm9aGa7zewTM3vMzE5qJYYLzexZM/vfyPtv\nitTbX9LC+M5mdq2ZrYmMX29m/25mxc2MTajBN7NqoDrycmZkf/TzNwKTgmEHtjdbwy8ikiu0gi8i\nUriGAFXAauBBoBuw08zmAHOAT4AngA+BUcAPgQvMrMzdd0bfxMymAw8DeyLP/wucDSwBViSf1My+\nC/wyMu6vwMdAn8g5ZgK/SD4E+D0wEfgbsAP4DPCjyHHfbuazxZfcLAAGAlcCy4G/RLYvJ0j8ZwIn\nAHPjjqlu5j1FRHKCuavsUESkkJjZQGBt5OVP3P36uH2TgWcJkvML3H1H3L5vAb8GbnP32ZFt3YH3\nge5Ambu/Gjd+PjCLINke5O7rI9tfAU4Gjnf3j5NiO8Ldt8a9riBYYX8FmOruNZHtJcDrwCCgn7t/\nEHdMI1Dh7lPitp0ArAPud/eELwSRc5zt7p0P4a9PRCTrqURHRKRwbQHmJW27IvL8nfjkHsDdHyBI\nqr8Wt/mzQG/gd/HJfcRcgtX25jQA+5M3xif3Sf5fNLmPjKsFfkvwc+z0Fo6Jl+kLfUVEQqMSHRGR\nwvW6u9cnbSsD6oEZFmkvk6QLcLSZ9Xb3bcCYyPYXkge6+w4zW06wAh/vIeC/gLfM7A/AQmCxu3/U\nQpwOvNzM9o2R594tHCciUpCU4IuIFK4tzWw7EuhMUIPfEicoydkGRC+6/aCFsU3O4e4LzOxj4FKC\n3xjMAtzMXgCudvdXmjmmud8ERH8DoNIaEZE4KtERESlczV2EtR3Y6u6dWnl0dvcNceMB+rZwjmOa\nPbH7g+5eRvCF4jPAvQQr/U+Z2VHt/0giIqIEX0RE4lUCR5jZyYc4PrraXp68I9JSczSt3ETK3be7\n+9/d/bsEd5o9gqYlPenWAEGfzAyfV0QkLZTgi4hIvAWR51+Z2bHJO83scDMbF7fprwSlOl81s+SL\nXecCPZt5j8ktnDv6W4DdbYq44z4huAj3hAyfV0QkLVSDLyIiB7j7c2b2Y+AWYI2Z/Y2gJ3x3ggR4\nEvAicEFk/O5IX/uHgRfN7GGCuvuJwAiCC2iTV+QfM7OdBD343ydIrs8GziC4mPYfSePTvbL+D2A6\n8Gcz+ztQB1S7+0NpPq+ISFoowRcRkQTufquZLSa4AHYiQSvMGmATcBfwu6TxfzKzaQQX5s4guOHV\nQmA8cA1B8h7v/wGfJujAc0FkfDXBjat+4e4N8W9PyyU+re1ri3sIvrx8Bbia4GdjBUG3HxGRnKMb\nXYmIiIiI5BHV4IuIiIiI5BEl+CIiIiIieUQJvoiIiIhIHlGCLyIiIiKSR5Tgi4iIiIjkESX4IiIi\nIiJ5RAm+iIiIiEgeUYIvIiIiIpJHlOCLiIiIiOSR/w/MvRAAaIfftgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa860119290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib.pyplot import figure, show, setp, savefig\n",
    "from matplotlib import gridspec, rcParams\n",
    "from numpy import zeros, loadtxt, size, log10\n",
    "from src.read import path_to_fig_dir\n",
    "\n",
    "label_size = 20\n",
    "rcParams['xtick.labelsize'] = label_size \n",
    "rcParams['ytick.labelsize'] = label_size \n",
    "rcParams['ps.fonttype'] = 42\n",
    "\n",
    "fig1 = figure(figsize=(12,12))\n",
    "gs1 = gridspec.GridSpec(2, 1, height_ratios=[1,1]) \n",
    "fig1.subplots_adjust(hspace=0)\n",
    "ax11 = fig1.add_subplot(gs1[0])\n",
    "ax12 = fig1.add_subplot(gs1[1],sharex=ax11)\n",
    "#ax13 = fig1.add_subplot(gs1[2],sharex=ax11)\n",
    "\n",
    "ratio_gen  = loadtxt(\"Results/ratio_gen_EGMF.dat\")\n",
    "theta_mean = loadtxt(\"Results/theta_mean_vs_EGMF.dat\")\n",
    "dt_mean    = loadtxt(\"Results/delay_mean_vs_EGMF.dat\")\n",
    "\n",
    "Redshifts = ratio_gen[1:,0]\n",
    "B         = ratio_gen[0,1:]\n",
    "ratio     = zeros(size(Redshifts))\n",
    "\n",
    "marks = ['D','*','o','^','v']\n",
    "i=0\n",
    "for Bi in [2,4,6]:\n",
    "   ax11.plot(Redshifts,theta_mean[1:,Bi],'-',marker=marks[i],markersize=10,linewidth=2,label=\"B=$10^{%1.0f}$ G\"%log10(B[Bi-1]))\n",
    "   ax12.plot(Redshifts,dt_mean[1:,Bi]   ,'-',marker=marks[i],markersize=10,linewidth=2)\n",
    "   #ax13.plot(Redshifts,ratio_gen[1:,Bi],'--*',linewidth=2)\n",
    "   i+=1\n",
    "   \n",
    "ax11.set_xscale('log')   \n",
    "ax11.set_yscale('log')\n",
    "ax11.set_ylim([5e-4,2e1])\n",
    "ax11.grid(b=True,which='major')\n",
    "ax11.legend(loc=\"best\",fontsize=label_size)\n",
    "ax11.set_ylabel(\"$\\\\theta_{avg}$ [deg.]\",fontsize=label_size)\n",
    "xticklabels = ax11.get_xticklabels()\n",
    "setp(xticklabels, visible=False)\n",
    "\n",
    "ax12.set_xscale('log')   \n",
    "ax12.set_yscale('log')\n",
    "ax12.set_ylim([1e4,5e9])\n",
    "ax12.grid(b=True,which='major')\n",
    "\n",
    "ax12.set_ylabel(\"$\\\\Delta t_{avg}$ [yrs]\",fontsize=label_size)\n",
    "#xticklabels = ax12.get_xticklabels()\n",
    "#setp(xticklabels, visible=False)\n",
    "ax12.set_xlim([3e-2,3])\n",
    "ax12.set_xlabel(\"redshift\",fontsize=label_size)\n",
    "\n",
    "#ax13.set_xscale('log')   \n",
    "#ax13.set_ylim([0.1,0.38])\n",
    "#ax13.grid(b=True,which='major')\n",
    "#ax13.set_xlabel(\"redshift\",fontsize=label_size)\n",
    "#ax13.set_ylabel(\"ratio gen 2 / gen 1\",fontsize=label_size)\n",
    "\n",
    "savefig(path_to_fig_dir+\"mean_Dt_theta_vs_redshift.eps\",bbox_inches='tight')  \n",
    "\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Intrinsic spectrum and $E_{max}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZCumlVl5TtXdGOR7b/ZoTnNh0HPYHy4EUmzW1ybkOjuv1ehTzTVdk+tzY+xir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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8a46fe3a50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1IiIKIFob9Uajb+vhS+np6VBKuV20BqMRz4HaMRqNWp6D004p90t6uhdfAZH3sGGv3TWo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4AAAD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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8a46fe3e90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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S0rB+/XqvZdy/fz/uvvtuJCQkIDo62jpKUkFBAf7zn/+gU6dO1v4AVS1evBgJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8a45ebecd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import src.distribution\n",
    "simus  = [\"Emax=10TeV\",\"Emax=50TeV\",\"Emax=100TeV\",\"Emax=1000TeV\"]\n",
    "colors = ['b','g','k','r','c','m','y']\n",
    "src.distribution.drawSpectrum(simus,colors=colors,yrange=[1e-3,2e-1],save='Spectrum_vs_Emax.eps')\n",
    "src.distribution.drawArrivalAngle(simus,colors=colors,yrange=[1e-5,2e-2])\n",
    "src.distribution.drawTiming(simus,colors=colors,yrange=[1e-7,2e-2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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z/fjHP9aQIUM6lt9yyy0aP368zj33XD366KMaPXq0nnrqKSWTSY0aNUpXXXVV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\nogAAAABgBRIFAAAAACuQKAAAAABY4f8DKZSYcPis2nAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f221cd246d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import src.distribution\n",
    "src.distribution.drawSpectrum([\"Emax=50TeV\",\"Emax=1000TeV\"],plot=\"generation\",colors=['b','g','k','r','c','m','y'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Ur18fP/30k8WSpWqpXbs2UlJSIISAVPA3tfD7mTNnYs6cOarXQWl7KMin2jq57FEgMmUa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uAAAg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\nSHh4OLp81s62l5IYkxBClBSzd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35WrlxJpUqVGD16dJHKLwgZiy4skeuidAj0CGTPmXv3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\nRERE0ihREBERERGRNP8LuXhq5f9msuAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f095450ffd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib64/python2.7/site-packages/matplotlib/axes/_axes.py:475: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n",
      "  warnings.warn(\"No labelled objects found. \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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Bh3/5cC3ZfckG/y+eee4ZzbN5Wn748uBrqiLer+Nj0B57Gvuc0NgDQH2kOTB2XH+2X3Pn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\nHHBovf2HfbY9mOqdnduBffdwnguA6Rlxrqd69+GJTT/+rub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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f095450fb90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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nRWvWO9uTJXb9H0r39PTkvu8kJUnXunspzdZqSDM72cyuM7PrgPMbVx/Tf52Z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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f09538b0590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import src.distribution\n",
    "simus  = [\"Gamma=1.2\",\"Gamma=2\",\"Gamma=2.2\"]\n",
    "colors = ['k','g','r','c','m','y']\n",
    "src.distribution.drawSpectrum(simus,colors=colors,yrange=[1e-4,4e-1],plot=\"cascade contribution\",save='Spectrum_vs_powerlaw.eps')\n",
    "src.distribution.drawArrivalAngle(simus,colors=colors,yrange=[1e-5,2e-2],save='dNdtheta_vs_powerlaw.eps')\n",
    "src.distribution.drawTiming(simus,colors=colors,yrange=[1e-7,2e-2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0723824136505\n",
      "1.000001e-10\n",
      "7.23838789438e-09\n",
      "5.22719651006e-07\n",
      "1.28326913508e-06\n"
     ]
    }
   ],
   "source": [
    "#%matplotlib inline\n",
    "from matplotlib.pyplot import figure, show\n",
    "from numpy import *\n",
    "\n",
    "import matplotlib as mpl\n",
    "label_size = 20\n",
    "mpl.rcParams['xtick.labelsize'] = label_size\n",
    "mpl.rcParams['ytick.labelsize'] = label_size\n",
    "\n",
    "ax = figure(figsize=(12,9)).add_subplot(111)\n",
    "Emin = 0.1\n",
    "Emax = 1e5\n",
    "N = 100000\n",
    "\n",
    "def spectrum(E,w,Nb=100):\n",
    "   dN,Ei = histogram(log10(E),Nb,weights=w)\n",
    "   Ei=10**Ei\n",
    "   Es = (Ei[1:Nb+1]+Ei[0:Nb])/2\n",
    "   dE = Ei[1:Nb+1]-Ei[0:Nb]\n",
    "   print sum(dN)/(N*log(Emax/Emin))\n",
    "   return Es, dN/dE\n",
    "   \n",
    "def compute_weight(E,powerlaw_index):\n",
    "   w = E**(1-powerlaw_index) / N * log(Emax/Emin) \n",
    "   if powerlaw_index == 2:\n",
    "      w /= log(Emax/Emin)\n",
    "   else:\n",
    "      w *= (2-powerlaw_index)/(Emax**(2-powerlaw_index)-Emin**(2-powerlaw_index))\n",
    "   return w\n",
    "\n",
    "\n",
    "E = Emin*(Emax/Emin)**random.rand(N)\n",
    "\n",
    "Es,dNdE = spectrum(E,ones(N))\n",
    "ax.plot(Es,Es**2 *dNdE/(N*log(Emax/Emin)),drawstyle='steps-mid',color='k',label=\"simu spectrum\")\n",
    "\n",
    "w = compute_weight(E,powerlaw_index=1)\n",
    "Es,dNdE = spectrum(E,w)\n",
    "ax.plot(Es,Es**2 *dNdE,drawstyle='steps-mid',color='b',label=\"$\\\\Gamma = 1$\")\n",
    "\n",
    "w = compute_weight(E,powerlaw_index=1.5)\n",
    "Es,dNdE = spectrum(E,w)\n",
    "ax.plot(Es,Es**2 *dNdE,drawstyle='steps-mid',color='g',label=\"$\\\\Gamma = 1.5$\")\n",
    "\n",
    "w = compute_weight(E,powerlaw_index=2)\n",
    "Es,dNdE = spectrum(E,w)\n",
    "ax.plot(Es,Es**2 *dNdE,drawstyle='steps-mid',color='r',label=\"$\\\\Gamma = 2$\")\n",
    "\n",
    "w = compute_weight(E,powerlaw_index=2.2)\n",
    "Es,dNdE = spectrum(E,w)\n",
    "ax.plot(Es,Es**2 *dNdE,drawstyle='steps-mid',color='m',label=\"$\\\\Gamma = 2.2$\")\n",
    "\n",
    "ax.legend(loc=\"best\",fontsize='xx-large')\n",
    "ax.set_xscale('log')\n",
    "ax.set_yscale('log')\n",
    "ax.grid(b=True,which='major')\n",
    "ax.set_xlabel(\"energy [GeV]\",fontsize='xx-large')\n",
    "ax.set_ylabel(\"$E^2 dN/dE / L_0$\",fontsize='xx-large')\n",
    "show()"
   ]
  },
  {
   "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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