Source parameters.ipynb 611 KB
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   "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": 4,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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bb+n888/X66+/rsWLF0deJKB7eS4UJgz89+Vhnt+oeqEwXk0KhahkbsnSmKez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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f81880958d0>"
      ]
     },
     "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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7F1fMuWIPAEWoFB+ako1jx45p8uTJ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\n5sQ72ec4YzjnOPGO9v3FeI6nlNx0l2ZWI+kJSf/qnPv7DNt/LOkrkr7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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f816665f9d0>"
      ]
     },
     "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 0x7f8165ec5a90>"
      ]
     },
     "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])\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": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MxNfSorrKq3U8vNmZ8L0ne/9WRlFAaAxe2Hrxej1pX8s3aRJYY6PqeT2BKrJS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ePo169fat/Kykq2bNnC8uXLWbduHY888gj9+vWjpqaGiy++OG0Ykpll/ey9WoRw+/btmBm//e1v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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fea48524990>"
      ]
     },
     "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\")"
   ]
  },
  {
   "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": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QwBd3p4DvhhTwRcTTmCb89JMj7BeeDCMwEIYNsx7QvesuhX3xfAr44u4U8N2Q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\njVOSipwFviTAHKmy5MMP4a67kqL+r39NO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h840ZVUARFxCnBK+XEyxZToS4CRcZZfyczL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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8165d46c90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib.pyplot import figure, show, setp\n",
    "from matplotlib import gridspec, rcParams\n",
    "from numpy import zeros, loadtxt, size\n",
    "\n",
    "label_size = 20\n",
    "rcParams['xtick.labelsize'] = label_size \n",
    "rcParams['ytick.labelsize'] = label_size \n",
    "\n",
    "fig1 = figure(figsize=(12,18))\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",
    "for Bi in [2,4,6]:\n",
    "   ax11.plot(Redshifts,theta_mean[1:,Bi],'-*',linewidth=2,label=\"%1.1e G\"%B[Bi-1])\n",
    "   ax12.plot(Redshifts,dt_mean[1:,Bi]   ,'-*',linewidth=2)\n",
    "   #ax13.plot(Redshifts,ratio_gen[1:,Bi],'--*',linewidth=2)\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(\"$\\\\theta_{avg}$ [degre]\",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",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Intrinsic spectrum and $E_{max}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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 0x7f8165514bd0>"
      ]
     },
     "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 0x7f8165422090>"
      ]
     },
     "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 0x7f8165511350>"
      ]
     },
     "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])\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": 7,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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C5E/3n31WntRcp4629VQ6PAlgrwMRkYdgjwJZ85QeBQYKGmCgQDaKiuQVl0aOlD/pz8uT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\nCxcumPMcOXIEg8HAu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Gv2751BgwYRFRXF4MGDs0/LzsxlkaN3ZpY5CkIIIYQoXYKCoGJF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\n06W1aF8ImJAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f81652532d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JE1BGzWYz9re5Sb71HUWp+thjR2TsgXjIUhYny77TmIT8PKqigH01y2te8P9H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\n/wGG28J+dbeaqQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f81652b5810>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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nRWvWO9uTJXb9H0r39PTkvu8kJUnXunspzdZqSDM72cyuM7PrgPMbVx/Tf52Z\nfXXIQ84GNgL/aGY/NLP/bWZ3AJ8DHgYuajVTp4m5li/m7KD8oSl/WDHnr9VqyddVKJCYjz0of2jN\n5u+d3Ysv8Ka3vMR+/POW57SqrfymfDfwSV4vi3LqE+5NaVxeD5zXf+fGWYY/AxYCs4AysAH4OvXS\nqJGmXBURSaVSqaSaIrUT7LCuQrdJ8zPXmgoiEplmexj2BbakLeNp9fEx0LSqIt0tzRSp0FnTpCZR\nnlqmd3bc3zegngTpLjm83ru6x6lJIaZVbeoMg7v/rpWdtPr4WFSrVTU9i3S5bv7gQH/gRUTap7/p\nOYROnFY1mP4BQ4xiruWLOTsof2jKH1bM+WPODsofmvKHFWP+UqkUbIKdtvQwmNkbgQMB3P3xduxD\nRERERETar6kehsRPanYY8J+Au/sbMt9BAamHQaS7deuaCtBBNceVSromZlAPg3QH9TAUQogehnaV\nJL1Cfd0GnV0QEZE4pB0saNYj6TZJphI2qw/GJWptGTC4+6PuPtndD27H80v2Yqzl6xdzdlD+0JQ/\nrELmd29qq/X11f8d6SxXhTz2CSh/AIMGx7UkjyvglNNRHv+A1PScoWq1qhegiIiIdKbe3tcHzf0D\n5rE2yUytVgvW9Jyqh8HMTgdWufuvRrnP4cCR7v7dFvJFQz0MIt1NPQwdUHOsNRVEspfw/1XH/D5p\no8KuwzCMa4EqMOKAATgJ6AG6YsAgIp2lW1du7upVm0VEZFjtLEnqitmROkXMpVQxZwflD22k/GkG\nC+UAza9ZH/+0g4Xy1HTfe1tfP5VKssbMhDr1tR8L5Q9L+btLW9ZhaJgKPNfG5xcRabtuLDGCDikH\nSHOGSDMeiRSCJRzEl8tleiOdgCAGTfcwmNm1gAMGnA6sbmxDvQGYBMwAet39Q9lELTb1MIh0lm7t\nSeio+mH1JIiEl7KHgWryXXXL7+ui9zCcPuTytMY2kvuAcxMnili1WqVUKlEqlUJHEREREYlWkjf/\nSc9GxKpWqwUrpUrSwzAFOLjxFeCKQZcHb5OAvdz9GHd/NMOshdc/YIhRzLV8MWcH5Q9N+cOKOX/M\n2UH5Q1P+sGLMXyqVgk2r2vQZBndf3/9vM1sI9Ln7Y+0IJSIiIiIixZBqHYadnsTszcAE4Hl3/0PL\nTxgh9TCIFFcrU6TG/v867TSphethqFTSrxYb+c9QJGo5rMPQbT1nIXoYUk+rama7mNkFZvYosBlY\nDzxnZr+7ygUoAAAgAElEQVRtXN/OGZhERJqWdrAQYprUrKUZLKSdIrWt0g4WOuBnKCISWqoBg5nt\nCtwGXEq9Z+FJ4BeNrwc3rr+9cT+JQIy1fP1izg7Knyd332nr6+sb9np3j2KKvmaPvy/wprfe2fl9\n34lfP+7Jtjb+DGN67Q9H+cNS/rBiz5+3tGcYPg+cAPwY+L/cfZK7T3f3ScChwC3Up1X9QjYxRURE\nREQkhFQ9DGb2K+rrMUxz9+3D3P4GGms0uPvhrYaMgXoYRIqr2+pbB+uYdRW0poJInNTDkLmYehje\nASwfbrAA0Lj+J437dY1qtapTXCIiIiKSuVqtFmxa1bQDhleAPce4z/jG/bqG1mEII+bsoPyhxZS/\nsrSC9diO2xzb+bpBW9HFdPyHijk7KH9oyh9WjPlDrsOQdsDwS+CjZrb/cDea2b7ARxv3ExGRDKSZ\n8QgKOuuRiIhEI20Pw18B/ww8DnwZuAN4GjgAKAHzgcnAX7v79zLKWmjqYRDJRzevqdAx/QhpqIdB\nJE7qYchciB6GVGsluPv3zWwacD6wBBj8E+r/Bv6+WwYLIpKfbl5TQUQkWtbc+1sHeqcCC9qaRhJK\nvXCbu18IHAtcQ31GpHWNr9cAx7r7+ZkklFzEWMvXL+bsoPxpjbR2QtI1FXT8A6hU6m8ezKg1vo65\nFVCUx34Q5Q+ra/Kn+LCmsibxQxKL/fjnraXVmN39XuDejLKIiEg30KrNIt0j6eKJjQ8IEk3aUAUe\nSbYbSSZVD4PsTD0MIvnotlrVwTqmh0H9CCIykv4BQzX5Q6P/3dikaHoYRERERETaJVHTcwRTSMcu\ndQ+DmZXMrNfMNprZK2a2fcj2mpkNu7Bbp4p54bZYc0Pc2UH5Q1P+sGLOH3N2UP7QlD97Ztb0Nn36\n9NBxEwu5cFuqMwxmVgGWUR9wPEG9cuzVYe7aHeeGGkL9EEVERESkeT//+c9DR0isVCpRKpXo6enJ\nfd9p12H4BfAu4CR3vy3zVBFSD4NIPtTD0AF1uuphEJGRpPj9kPR3Y+x/R2LqYXgX8D0NFkRE0qss\nraRevVlERCQvaXsYtgC/zzKIhFXEWsRmxZwdlL9SqSSqO81ayOOfZrBQnrrj1KLd/voJKebsoPyh\nKb/EJO0Zhn8H/iLLICLSndKs3NxpqzZHX2JUqaRfW0FERAovbQ/DZODnwGLgyyreVw+DSFqx15K2\nouN6EpIol5Mv6CQinU89DGMqbA+DmV3LzjMePQj0AJ8ys9XA5uEe6+5ntJRQRETiEOkfXxERGV2z\nPQynA3OGbKXGbZOBk4e5vX+TCMRcixhzdlD+0JQ/rJjzx5wdlD805ZeYNNvDMKWtKUREREREpJBS\n9TDIztTDIJJO7LWkrei4HoYu/BmKSMbUwzCmwvYwjMTM3gz8JTAN2Bt4HlgF/NDdX2w9nojEpFKp\npJr1qBNoTQUREelUaddhwMz+CngMuA74HPCpxtfvAI+b2SlZBIxJtVqNtqYv1twQd3borPxpBwsh\np0nN6vinHSwMXVchqU56/cQm5uyg/KEpvyRVq9WoVqtB9p3qDIOZnQgsBV6jPkC4E3gGmEi9GfoT\nwFIz2+zu/5ZN1OIL9UMUKZpYT/NmIfryIhERKaRSqUSpVKKnpyf3faddh+Fu4E+BGe7+wDC3/xlw\nN7DC3We0nDIC6mEQib8utBUd04+QhnoYRCQr6mEYU4gehrQlSUcC3xtusADg7iuA7zXuJyIiIiIi\nkUo7YPhvYMMY93m6cT+JQMy1iDFnB+UPTfmHqFTqn/Al2VoQ8/GPOTsof2jKLzFJO2C4Czh2jPsc\n07ifiIjEIu0sVwEb10VEpL3S9jAcBtwD/BOw0N23DLptT+ASYC7wF+7+cEZZC009DCLx14W2omN6\nGNSPICIhtdDDkMgj4DfG+XsupnUYvgT8CjgP+BszWwk8C7wN+BNgAvWzC1+yIaer3f2M1GlFRERE\nRAYpTy0nn9r6ne3J0qnSliSdDhzf+PcE4D3AXze+TmhcfzwwZ5hNCijmWsSYs4Pyh6b8YcWcP+bs\noPyhKX92emf34gu86Q2AdWEzxybtGYYpmaYQkULq5pWbRUREpC5VD4PsTD0M0omGlhQ2o1wu09vb\n24Y0+aosraRavVk9DCIiLcjhd1DsPWcx9TCISBfpxsFwmsFCeWoBZwqqVNLPfCQiIkL6HgbpMEWq\nRUwq5uyg/KGNlT9JXWzv7PzPrIx5/NMMFnKcIjXm10/M2UH5Q1P+MSRdD6ZSSfb86mFIRGcYRES6\nQReeJRKRCJXL6T7o0JnUtlIPQ0bUwyCdSOsqxFvjOkA9CSLS6RL+nov993uIHgaVJImIiIiIyIg0\nYMhQtVqNtiYx1twQd3ZQ/tCUP6yY88ecHZQ/NOUPLMIehlqtRrVaDbJv9TBkKNQPUUS6hGY8EhHp\nWqVSiVKpRE9PT+77TtXDYGZvc/dn25AnWuphkE6kHoaC1bimWBcDqDcRdsDaGCIiw1IPQ9ulPcPw\nhJn9CPiWu9+eZSARkaylXYStsLpwACciIuGk7WF4GPgo8G9m9oiZfdHM3pphLslZzLWIMWcH5c/D\nqIOFUepYC7kQ2xAxHP/RxJw/5uyg/KEpf2AR9jCElOoMg7sfbmbHAPOAvwL+Hvh/zOyH1M863Jlh\nRhHJQKVSYXmX178Pd/q5VqtRKpXyDyMiIhKJltdhMLMJwGnUBw9/3Lj6IWAJ8B13f66lHURCPQxS\ndJay/r1cLtMbef177PWqA7SmgojIztTD0HYtT6vq7pvd/RvufjhwHPBdYBJwOfCkmX3HzP681f2I\nSDbcPdEW+2BBREREWpP1Ogy/B/4L2Na4vDv1sw8/N7NlZrZPxvuTjMRcixhzdlD+0JQ/rJjzx5wd\nlD805Q9MPQyJtDxgMLNdzeyvzawG/B/gc8Am4PPAW4H3ALcCHwSuanV/IiIiIiKSn9Q9DGY2lXrf\nwhzqA4PtwC3AVcNNtWpm/wK8193fkjptgamHQYpOayrEW686QD0MIiI7Uw9D26WaJcnM7gBKjYtP\nAwuBJe6+YZSHPQB8OM3+REREREQkjLQlSSWgDzgF+CN3r44xWAD4MfCplPuTNou5FjHm7KD8oSl/\nWDHnjzk7KH9oyh+YehgSSbvS82eA+919VbMPcPdfA79OuT8REaADV20WEREpuFQ9DGa2nfoCbWdn\nHylO6mGQouuUHob+2tOkylPL9M4u2BSxlQqkWUwv8p+hiEim1MPQdmnPMPwe2JplEBGRJGL9Rb+D\nNIOFcjn7HCIiIqNI28PQBxyTZRAJK+ZaxJizQ/r8lUoFM2t6a5duPf6Zcm9+G7KQXiHytyDm/DFn\nB+UPTfkDUw9DImkHDBcDh5rZl81slywDFY2ZXWBmr5nZN0JnERlseYpPp8v6dFpEREQSStvDcC1w\nCHAc8Azwy8bXnZ7M3c9oMWMwZjYdWAr8AbjL3f92lPuqh0Fy1Sk9CUnFXnu6A62rICLSuhRn0Xun\nQuWROH/3xtTDcPqgf09sbCOJcsBgZnsDN1CfCrYaNo2IiIiIDKtcTtwTVlnTpiwdKm1J0pQEW6yW\nAD9w9zuBXEdxIcRcixhzdlD+0JQ/rJjzx5wdlD805c9Qb2+yXjCgFjZxdFKdYXD39RnnKBQz+xvq\ng53ZjaviPGclIiIiItKiVD0MncLMPgF8c9BVs4DfAXcDx7n7I4371YBfu/s5ozyXehgkV+phKNj3\nnXZNBVAPg4hIniLvH4uphwEAMzsQeC9wILDbcPdx94Ut7uOjwAnANODdwJ7Aje5+2iiPeTuwkPoA\nYB/gaeBHQI+7bx5012XAvYMubwA+DuwLPDhoKso3ADPM7NPAHu7+Sivfk4h0oLSDBc1cJSIiBZe2\nhwEzWwisB74D/G/qjcHDba2aD3wWOAJ4snHdiENCMzsEeACYA9wHXA6sBf4OuNfM9um/r7u/6O5r\nB23bgB8C76I+OHk39YHKCuAmYFqnDhYKVYuYUMzZQflDyzx/kjraYdZVSErHP5yYs4Pyh6b8YdVC\nB4hMqjMMjVKe+cAdwFXAv1AfONxG/WzAXOAH7Fjuk9bngCfc/VEzO4H6onGjuQrYDzjH3a8clPlr\nwLnApcBnRnqwuz8PPD/4OjN7CXjO3f8z3bcgIiOpLK2wfE3KT+dFRESk7dKuw/AzYBIwxd1fMbPX\ngGp/+ZGZvR9YDvylu9+SWVizEvVByg3u/slhbj8EWAOsc/dDhty2J6+vFfE2d38pwX77qPcwaB0G\nKYxO6WHo70lIojy1TO/s1j6Zz1zkNbEiIl0j8t/XMfUwHA7885DynDf0/8Pdf2pmPwW+CGQ2YGjC\nzMbX24be4O4vmtl/ACcC06kPPJri7jPHvpdIepVKJdXKzZ2kcE3MIiIiAqTvYdiF+mxC/bYCew+5\nz2+o1//n6dDG10dGuL1/mY6pOWSJSsy1iDFnh3r+tIOFcgEaZjvh+MdM+cOJOTsof2jKH1YtdIDI\npD3D8AxwwKDLT1BvSh7sAODVlM+fVv+g5fkRbu+/fkI7dj5nzhwmT55c38GECUybNo1SqQS8/h+r\nqJdXr15dqDzddrlff3lR6Dy5f//r6tcVJU/qy/Xvpjh5dLmtl/sVJY/yFyuf8hf7ckz5V69ezebN\n9Uk+169fTwhpexhuBg5y96Mal68EPg2cAdxMvTToB8A97v7ezMKO3cOwhHrD9Vx3//Ywt18KXABc\n4O6XZZWr8dzqYZDUOqUfIY3CrquQVOQ1sSIiXSPy39chehjGpXzcvwLvMrODG5cvAzYD1wF/oN63\nYNRnUspT/xmEoeVRDLl+8wi3i4iIiEgXMLNEW6VSCR05mFQDBne/zt3Hu/u6xuXHgaOoT2n6b8C3\ngD9393tHeZp2eKjx9dARbu/vXRipx6FrDT1FF5OYs4Pyh6b8YcWcP+bsoPyhKX9YtRSP6ebJSVpa\n6Xkwd18L/K+sni+l/jUaTrQhNUJm9mbgWGAL9QXdMletVimVSgN1ZyLdpqPWVKhU0q/eLCIihZek\nDLi/dDikWq0WbKCWqochlLF6GBr3uRV4H/C37r540PWXU18E7pvufnYbsqmHQVLrlB6GNGsqQMHX\nVUiiXG555WYREWmzFD0MRfo7HaKHofADBjM7GTi5cXEi9cHAWuBnjes2uft5g+4/BbgH2B9YRr1M\n6WjqE5g8DBzj7s+1IacGDJJakX4RtaJjGpgh+qY4EREZgQYMiaVtesbMDjKzy83sdjN72MzWDrdl\nkPHdwCeB06gvuubAwY3rPgl8ZPCdG6VRf0a9Afto4PON+38dmN6OwUIniLkWMebsoPyhKX9YMeeP\nOTsof2jKH1YtdIDIpOphaJQG/QTYjfpaCxsZfs2Flodh7t4D9CR8zJPUp3gVEREREZEWpF2H4X7q\nn/yfCSx199eyDhYbM/MFCxao6VlSKdKpzlaoJElERAov0pKk/qbnnp6eOHoYzGwr8H13Pz37SHFS\nD4O0ogi/iLKgAYOIiBRepAOGfjH1MGwGfp9lEAkr5lrEImavVCqJFoOJWRGPfxLKH1bM+WPODsof\nmvKHVQsdIDKtrPR8QpZBRDpJmsVdyuVyG5KIiIiItCZtSdJ+1Bc/+ylwnrtvyTpYbFSSJIMV6dRl\nnlSSJCIihaeSpMRSzZLk7pvMbBb1QcNpZvYI8PwI931PC/lEJKCOWblZqzaLiIiklqokycz+mPri\naG8B9gCOpL4w2nBb16hWq9HW9MWaG+LODsXO39RgYd2OF8tTC1haNcpgoTba4yIoEyvy66cZMeeP\nOTsof2jKH1YtdIAUarUa1Wo1yL5TnWEALgf2AS4BvgM87e7DrcPQVUL9EEXabbQSo1qtFs9UwsOd\nSq7VIJb8IiLStfqn7u/pSbQ8WSbS9jD8AbjN3T+afaQ4qYdBBitSrWMrOqYnQf0IIiLSTz0MiaU9\nw/AKOxUiiIiIiIjEof9DsaZUgUfalaT40k6r2gcclWUQCSvmWsSYs4Pyh6b8YcWcP+bsoPyhKX9Y\ntTQPemfGISKS9gzDl4D7zOwC4CuqxRERERGRmCQpt010NqIDpe1huBaYTH3xtnXAakaeVvWMFvJF\nw8x8wYIFAw0p0t2KVOvYCvUwiIhIx0nTw1CAv4e1Wo1arUZPT0/uPQxpBwyvNXtfd09b9hQVNT3L\nYBowFIwGDCIi0i/SAUO/EE3Pad/MT0mwSQRirkVsd/ZKpYKZJdqSiPnYg/KHpvzhxJwdlD805Q+r\nFjpAZNKu9Lw+4xwihbU85QrB5QgW/RIREREZS6qSJNmZSpI6V6eUF6VRpFOwAyqVUVduHlUX/gxF\nRGQIlSQl1tQZhkaTswMXuPuzgy6PqVuankUkJ2kHCzrjIyIikkqzPQynA3OAvYdcbmaTCMRcixhz\ndlD+1NyTbb29wz6Njn9YMeePOTsof2jKH1YtdIDINNvD0N+8/OSQyzJItVrVtKpSWJWlFZavSfnp\nvIiIiATVP61qCGmnVT0e+IO7r84+UpzUw9C5OqWHIe2iM+WpZXpnD//pfBCaIlVERFqhHobE0q70\n3Ad8Czg7wywikoMi/LITERGReKRdh+H3wNYsg0hYMdcixpwdlD805Q8r5vwxZwflD035w6qFDhCZ\ntAOGPuCYLIOIiIiIiEjxpO1heCdwH3AV0OPur2QdLDbqYehcndbDEH1JknoYRESkFephSCxtD8MF\nwG+AC4EzzOyXwDMMszaD1mEQEREREYlX2pKk04HjGv+eCLyfkddmkAjEXIsYc3ZQ/tCUP6yY88ec\nHZQ/NOUPqxY6QGTSnmHQOgwiko1KJf3qzSIiItJ2qXoYZGfqYYhDpVJheco3p7H/fItUf7kDS1GG\nWS6PuHKziIjIqNTDkFjaMwwyDK30XHxpBwvlcjnjJLKTyAdkIiIi7RRypee0PQwAmNmbzeyTZna5\nmV3T+Hqame2ZVcCY9A8YYhRzLWKa7O6eaOtt46fZMR97UP7QlD+cmLOD8oem/GHVQgdIoVQqUa1W\ng+w79RkGM/sr4JvAhGFuvsLMPu3uP0idTEREREREgku7DsOJwE+A14AbgTupT6s6ESgBn2jctezu\n/5ZJ0oJTD0McOmVNhTSKVH+5A62rICIieVIPQ2JpzzBcAvw3MMPdHxhy23Vmthi4u3G/rhgwiIiI\niIh0orQ9DEcC3xtmsACAu68Avte4n0Qg5lrEmLND+vyVpRWsx5re2qVbj39RKH84MWcH5Q9N+cOq\nhQ4QmbRnGP4b2DDGfZ5u3E9E2mD5muQzPpWnarYnERERING03g70TgUWtC1NoaXtYfgRMMHdS6Pc\n507gOXc/OX28eKiHIQ6d1MNQpHrKlqiHQURE8tTKgqEF+FsVoochbUnS+cARZnaZme0x+AYz29PM\n/h44HPhSqwFFJCKVSn0AkGQTERHJU29v/Y1/kq3LpR0wfAn4FXAe8ISZ/buZ3Whm/w48DnyxcfuX\nzOzbg7dsYkvWYq5FjDk7dFj+tJ/YBFwYr6OOf4Rizh9zdlD+0JQ/rNjz5y1tD8Ppg/49AXjPMPc5\nvrENdUbKfYrspFKppF69uUgqSyupehIKS5/GiIiIdIy0PQyT0+7Q3denfWyRmZkvWLCAUqkU7WrP\nMbIUJS3lcrmtKzenkXYWo/LUMr2zC/S9qB9BREQ6UQH+vtVqNWq1Gj09Pbn3MKQaMMjO1PQcRqc0\nMauBWUREpMAK9PctpqZn6TCq5Qsn9mOv/GEpfzgxZwflD035w4o9f940YBARERERkRGpJCkjKkkK\nQyVJBVOgU7YiIiKZKdDfN5UkiYiIiIhIoWjAIIBq+UIq9LFvYiG2WuSLsBX6+DdB+cOJOTsof2jK\nH1bs+fOWdh0GEekGada4CLgIm4iISDsNN5177GXRzWi6h8HMrgD+P+AuFevvTD0MYaiHoc0KVLMp\nIiISTOPv4XDn0vN+D1L0Hob/BfQBz5rZNWb2ATPbtU25pAtVKhXMLNEmIiIikhd332nrBkkGDAcC\nZwEPAKcCtwC/M7PvmdnHzezN7Qgo+ShCLd/yNOUvwNFHH51xknwV4di3QvnDUv5wYs4Oyh+a8ocV\ne/68Nd3D4O7PAkuAJWa2F/AB4C+BMnAK8LKZ3QH8EFjm7pvakFe6QNLRuv7Ti4iIiLRPy+swmNnu\nwInAh4EPAvsArwH3UO95+KG7P9ZizsJTD0PrOqUfIQ31MIiIiBRYgf4eFr2HYVjuvs3d/9XdPwW8\nDXgvcBUwGbgcWGdmK1vdj4iIiIiI5C/TdRjcfbu797n73wKTgKOBrwC7Z7kfyV7MZT0xZwflD035\nw4o5f8zZQflDU/6wYs+ft7Yt3OZ1v3D3C939f7ZrPyIiIiIi0j4t9zBInXoYWqceBvUwiIiIFFKB\n/h4WtofBzP6PmZ2ddietPj4W1WpVp7hEREREJHO1Wo1qtRpk382WJB0K7NvCflp9fBSq1SqlUil0\njFRiHujEnB2UPzTlDyvm/DFnB+UPTfnDijF/qVQKNmBoeh0GoJRyZV0txysiIiIiEqmmehjM7LUM\n9tXj7j0ZPE8hqYehdephUA+DiIhIIRXo72GIHoZmzzC8J4N9rcvgOUSiUFlaYfma5aFjiIiIiLSs\nqR4Gd69lsHX8as8xi7GWr18RsycaLDSG0uWp5faE6Vep1D8hSbI1oYjHPwnlDyvm/DFnB+UPTfnD\nij1/3pL0MIhIQs2UGNVqtXya5ZenPONRbvNARkRERApN6zBkRD0MreukHoZC9iQUqP5SREQkKgX6\nG1rYdRhERERERKQ7acAgQNy1fDFnB+UPTfnDijl/zNlB+UNT/rBiz583DRhERERERGRE6mHIiHoY\nWlfUHoZWpkhVD4OIiEgHKNDf0Oh6GMzs7GGue7uZTWzleUWKJO1goe3TpIqIiIjkINGAwcwOMrNd\nB131wWHu9gIwz8y+2FIyyVXMtXx5ZfcFnmjrnd3b1PPGfOxB+UNT/nBizg7KH5ryhxV7/rwlPcPw\nc+B5M+szsx5gTzPbbfAd3P15d18I3KlBg4iIiIhI3BL1MJjZIdTPKswAjgP2A/4buB+4s7Hd4+4v\nNe7/VXc/L+vQRaQehtYVtYehkGsqpFGg+ksREZGoFOhvaIgehpaans3sPuBaYCZQAvYHXgVWAY8B\nB7r7ca3HzJ+ZVYFLhlz9jLsfOML9NWBokQYMbVagX3YiIiJRafwNterON+X9/iC6pmfgOXf/lrt/\n3N0nAocDnwfWAwbs1BQdmYeAiYO2w8PGaZ+Ya/lizg7KH5ryhxVz/pizg/KHpvxhxZ4/b29s8fHX\nDr7g7g8CDwKLW3zeotju7htDhxARERGR8KKvNkip6ZIkM3s/cJ+7P9/eSMXQKEk6D9gMvEy94ftC\nd183wv1VkjREpVJh+fLkU5IW7TiqJElERKTLFehvaNFLkr4P/N7MHjCzr5nZB81s76F3MrODzewb\nZnaJmb01u6i5uw84HXg/8DfUS5LuMbN9gqaKSJrBQrmstQtEREREiiTJgOFZ4BzgV8CHgWXUBxAr\nzGyRmX3AzPZy93Xufg7wTeAr2UfOlpl9wsxeGLQdC+Dut7r7v7j7b9z9duAD1I/X6UEDt0k7a/nc\nvemtt7e5tQsGi70OsVarQaVS//Qi6VaphI7fGcc/YsofTszZQflDU/6wYs+ftyQ9DLe4+9XA1QBm\nNgmoAJcBb6Pe7Pyama0G+oA1wJQsQprZR4ETgGnAu4E9gRvd/bRRHvN2YCEwC9gHeBr4EdDj7psH\n3XUZcO+gyxuGez5332JmDwLvaOFbERleirMxA4+zXM9KioiISJdpdVrVxcCX3f0ZM5tMfWrVE4D3\nAuOBc9z9ppZD1gchR1BfRfop4DDgBnf/5Aj3PwS4h/o6ET+iPtvR0dSnf30YONbd/ythht2BdcCV\n7v7lYW5XD8MQRZ0mNalcehjS1EZWKskHGuUypDiLIyIi0tW6vIeh1VmStrj7MwDuvh64Driusfrz\nYmBli8/f73PAE+7+qJmdQP0Mxmiuoj5YOMfdr+y/0sy+BpwLXAp8ZrQnMLNFwC3AE9TXl7gYeBPw\nnbTfhEim9MZfREREctDqOgxTzOyPhl7p7i8DZwGfbfH5+5+v5u6PNi6OOqJqnF04EVg3eLDQsAB4\nCTjVzMaPsdv/AdxE/ezEzcBWYLq7P5E0fwxiruWLOTsof2jKH1bM+WPODsofmvKHFXv+vLU6YLga\neMDMZpvZGwbf4O7bqa/6nLeZja+3Db3B3V8E/gPYA5g+2pO4+1+7+/9w993c/e3ufoq7P5R9XBER\nERGR4mqphwHAzM6kPnB4gfqb9HuBx4FDgJK7f7DVkEP2VwLuYIQeBjP7KvAF4Avu/g/D3L6Y+grU\nn3H3b2WYSz0MQxSxh6GytMLyNekajAvXwyAiIiL5KNDf6Rh7GHD3a8xsBfW+gFOAjzVuWt24nLf+\ntSFGWmCu//oJOWSRgkk7WChP1foQIiIi0p1aHjAAuPsvgQ+Y2QTq044+7+5rsnjumMyZM4fJkycD\nMGHCBKZNm0apVAJer5Ur6uWvf/3ro+adPn06P//5z0c/AKNoZ/7BdYhj3b9f3wl9ifdXq9Xan7/x\nNfTroV3Hv4iXlV/5014e+j2EzqP8xcqn/MW+nDh/4zEh8q5evZrNm+srAqxfv54gkiyqVYSN+s/s\nNeC7I9z+1cbt545w++LG7Z/OOJfHrK+vb9TbgVRbuVwOnn0wqjjVYv2s+vr63OsnOUNHSSXJ8S8i\n5Q8r5vwxZ3dX/tCUP6zE+Qv0d7rxnjPX999j9jCY2V8CnwSWUl+87eVshirpNNHDcCbwT8ASdz9r\nmNt/Sn0Wpfe6+1jTsybJ5WMdy5gVsR8hjVzWVEijQLWRIiIiMkSB/k6H6GEYN9Yd3P2HwAXA4cA9\nZvZdM3u/mY352ED6BwEnmu24BK6ZvRk4FtgC3Jd3MBERERGR2DT1pt/dH3L3S9z9T6mX9JSBVWb2\nDZzXJrQAACAASURBVDP7i7YmTMjd11Kfrelgdl4Hoof6CtTXu/vWrPddrVZ3qI2LSay5Ie7soPyh\nKX9YMeePOTsof2jKH1aM+Wu1GtVqNci+Ezc9u/v9wP2NdRfeA8wzs6uA5cCN7v6fGWfEzE4GTm5c\nnNj4eoyZXdf49yZ3P2/QQ84G7gH+0czeS33xtaOp9z88DFyUdUYg2A9RRERERDpbqVSiVCrR09OT\n+75bXocBwMx2ByrAx4E/or4y8k2e0arIZraA+irNQ8P2lxytd/cpQx7zdmAhMAt4K7AB+CHQ4+4j\nTbnaSkb1MERAPQwiIiKSWIH+TofoYchkwLDDE5rtDXyE+noMuwH/DHzf3f8r0x0VjAYMcdCAQURE\nRBIr0N/pQjY9J+Xuz7v7t939/dTPOOwO3GJmPzaz2WY2Put9SutirOXrF3N2UP7QlD+smPPHnB2U\nPzTlDyv2/HlresBgZueNfa8dufsz7v51dz8O+Bz1Rd3+OenzxCLmpmcRERERKa6QTc9NlySZ2UPu\nflib80RLJUlxUEmSiIiIJFagv9MhSpKSzJL0TjO7BLja3Te1K5BIEpWlFZavWR46hoiIiEjHStLD\n8DLwB+BLZnaDmV1pZp9ozEYkkYu1lGr5muWwLtljylPL7QmTUqzHvp/yh6X84cScHZQ/NOUPK/b8\neUtyhuE+d/96/wUz2ws4DvismU3i9dWT73T332YbU2R0hSsxEhERkc5jw1QCFaBMqd2S9DC8abTV\nkc3sTcAxwDnAnwN3A3e4+5IsghadmfmCBQsGFtXoNEXtYShsT0JSBaqNFBERkSEqFVg+Qgl0Tn+7\na7UatVqNnp6eONdhMLNdgL8CPkN90AD11ZWvdPcrW95BBNT0HIYGDCIiItJNoluHwcwONrOvAE8B\n1wNHUV/l+b3u/j+7ZbDQCaKu5UvYw1A0UR97lD805Q8n5uyg/KEpf1ix589bkh4GAMxsHFChfjbh\n/YABG4AeYIm7P51pQmmLSqXC8pFOrYmIiIiINCTpYXgbMBeYBxzUuLoPuAr4kbtvb0vCSMRWkmTD\nNe2MoVwu09vb24Y06akkSURERLpJ0ddhWA/sBjwPfAO4yt0fbkcoyU9Mg5yojNYcJSIiIhKRJD0M\nuwGPAp8EztdgobNEXctXxB6GBIOFWv8/ysVaH6JZUb92UP7QYs4fc3ZQ/tCUP6zY8+ctyYDhXuAj\nwCTgn8zsZjP7f83sfWa2x3APMLMzsggZi2q1qheg7Mh97K2vr/61YOVeIiIiUhy1Wo1qtRpk30l6\nGP7Z3T8+5LpDgRnUp1J9M/WypRpwt7v/wcx+6+7vyDRxQcXaw1CkzJWllfrKzSkUrodBPQkiIiLS\nBiF6GDJZh2HgyeorPs+gvgL0XwDvcvc3ZLaDAtOAoXX9DcxJlaeW6Z1dsE/nNWAQERGRNohuHYah\n3P0xd7/B3c8CZgHbsnx+aZ8ilVL5Ak+0nXfgeaEjt6RIxz4N5Q9L+cOJOTsof2jKH1bs+fOW6YBh\nsMZ6DCva9fwiualU6mcMkmwiIiIiHSJJD8P7gfvc/fmmn9zsQHffkDZcTFSS1LrCrqmQdgBQLquR\nWURERDJV9HUYvg/sYWa/pN7YXAPuGjqAMLODgc8Dm4Ars4kpUgAFGlyJiIiI5CVJSdKzwDnAr4AP\nA8uA35vZCjNbZGYfMLO93H2du58DfBP4SvaRiyvmaVVjzQ1xZwflD035w4o5f8zZQflDU/6wYswf\nclrVJGcYbnH3q4GrYWBGpApwGfA26mcVXjOz1UAfsAaYkm3cYgv1QxQRERGRzlYqlSiVSvT09OS+\n75amVTWzxcCX3f0ZM5sMlIATgPcC44Fz3P2m1mMWn3oYWlf4HoYCHSsRERHpTjFOq7rF3Z8BcPf1\n7n6du38KmAr8EFjZakAZW6VSwcwSbSIiIiIizWh1wDDFzP5o6JXu/jJwFvDZFp9fmrB8ebrVkcvl\n8sC/Y6zl6xdzdlD+0JQ/rJjzx5wdlD805Q8r9vx5S9LDMJyrgQfM7O+A77n79v4b3H27mb3a4vNL\nAkUqLxIRERGRztBSDwOAmZ1JfeDwAnAbcC/wOHAIUHL3D7YaMgYhexiK2I+QhnoYREREREZX9HUY\nhuXu15jZCuBS4BTgY42bVjcui4iIiIhIpFrtYQDA3X/p7h8A9gWOAg519z9x90ezeH5pv5hr+WLO\nDsofmvKHFXP+mLOD8oem/GHFnj9vLZ9hGMzdNwMrsnzOmFSr1YE5ckVEREREslKr1YINdFruYZA6\n9TC0Tj0MIiIiIqOLcR0GERERERHpYBowCBB3LV/M2UH5Q1P+sGLOH3N2UP7QlD+s2PPnTQMGERER\nEREZkXoYMqIehtbl0sNQqUDKlbHVwyAiIiKhRbcOg5md7e5XDbnu7cCr7v5MS8kkepWlFZavSfnm\nvF3SDhbK5WxziIiIiEQiUUmSmR1kZrsOumq4VZxfAOaZ2RdbSia5akctX5rBQnlq8jfmqbK7J9t6\ne5Pvo0mx11Eqf1jKH07M2UH5Q1P+sGLPn7ekZxh+DrzFzO4D7gL2NLPd3P3l/ju4+/PAQjP7czP7\norsvyjCvRKhw06SKiIiISNMS9TCY2SHUzyrMAI4D9gP+G7gfuLOx3ePuLzXu/1V3Py/r0EWUZQ9D\npVJheYrSmaL1MBRyXQWtqSAiIiIRC9HD0FLTc+NMw7XATKAE7A+8CqwCHgMOdPfjWo9ZfFkOGPqb\nmJMol8v0trFsJg0NGERERESyFePCbc+5+7fc/ePuPhE4HPg8sB4w4OwWn7+ruXvTW6uDhZhr+WLO\nDsofmvKHFXP+mLOD8oem/GHFnj9vLc2SRP3swgB3fxB48P9v796jZCvLO49/H0EmcvGAGtREDZcg\njk4UR2YkXgtnkTHdjkO8jhoRo8Yl6OAlKggZ+mgwxgsYES/oIIriEF1JvJzjqJHT0YBEZYnRKIIc\njiMSAS8gyE09z/yxd0PRdHVXV++qt94+389ae1XX3rVr/6q6uqqe3u+zN/DONd5vlebm5uj1evR6\nvdJRJEmStI7Mz88XK3TGdh6GiNgbeEVmHjeWDUyZcQxJmraehNVySJIkSVK3ahySdCcRcc+IeDOw\nFXhN1/cvSZIkaXI6KxgiYq+IeCNwOfBnwK5d3bfGr+axfDVnB/OXZv6yas5fc3Ywf2nmL6v2/JO2\n5oIhIvaMiNfTNDof284+CfhbmsZnSZIkSZUauYchIu4OvAJ4ObAB+AVwGvDmzPxpRLwf+JPM7HzY\n0zSyh+HO7GGQJEnqVhU9DBGxe0QcTzP06ERgF+AUYL/MPDYzf9pxRmmw2dmmCBh2kiRJ0qoMXTBE\nxK4R8VqaQuENND0KpwL7Z+arMvOaMWXUBFQ7lm/zZuZXu87MzBiCjK7a575l/rLMX07N2cH8pZm/\nrNrzT9pqzsPwbeABwK3Ae4CTMvOHY0klrZZDjCRJksZi6B6GiHgyTTPz54FjM/PWFW5vD8Po9wXY\nwzDcRuxJkCRJO46p7mHIzE8CDwX+Gfh0RBwVEXcdWzJJkiRJxa3qv//ZOAd4InAdsDkiXhQRO40l\nnSZmpbF8s2fPEhtjVdOkzE9sS+NR+zhK85dl/nJqzg7mL838ZdWef9JGGi6Umdsz8yM0hcOtwGci\n4siI2CGGH+2INl+6eaT1Zg6YrgZjSZIkrc7I52G4w51E7AwcATwTOAs4GzgdexhGvS9gunoYpvKc\nCmAPgyRJ2qFMdQ/DcjLzV5l5BvAkmsOtbgYeDvgtTpIkSapYp//9z8xfZubpwJOB/w3sUIddjYgl\np9nZ2dLRVlTzWL750gHWqObnHsxfmvnLqTk7mL8085dVe/5JG8twocy8NTPfBewzjvuvzebNmwcW\nE0tNkiRJ0rTopIdBTQ/DiSeeSK/Xo9fr3TZ/dnaWzZtX3zA8MzPDpk2bOkx4R7Nnz47UyGwPgyRJ\n0uTNz88zPz/Pxo0bJ97DYMHQkS6bnidhlMOezhwww6Znj6+IYXYWRiiuAAsGSZK0Q6i26Vn1yhOT\nPDHZ8vgtt/08aBprsQAjFwvzj3xkx0Emq/ZxlOYvy/zl1JwdzF+a+cuqPf+k7Vw6gHQnq91b4B+9\nJEnS2DgkqSO1Dkmaqp4E+xEkSZKW5ZAkSZIkSVPFgkFA3WP5as4O5i/N/GXVnL/m7GD+0sxfVu35\nJ82CQZIkSdJA9jB0xB6GDtjDIEmStCx7GCRJkiRNFQsGAXWP5as5O5i/NPOXVXP+mrOD+Uszf1m1\n5580CwZJkiRJA9nD0BF7GDpgD4MkSdKy7GGQJEmSNFUsGATUPZav5uxg/tLMX1bN+WvODuYvzfxl\n1Z5/0iwYJEmSJA1kD8MAEXFf4E3AHwJ7AFuBl2TmFwfc3h6GtbKHQZIkaVklehh2nuTGahERewLn\nAV8EZoBrgP2Aq0vmkiRJkibNIUlLew3ww8w8MjO/lpnfz8wtmXlx6WDjMpaxfLOzzV6DYacR1T4O\n0fxlmb+smvPXnB3MX5r5y6o9/6RZMCztcOArEXFORFwVEV+PiKNLh6rO5s2rX2dmpvsckiRJGpk9\nDEuIiJuBBE4G/gZ4OHAqcGxmnjZgnc56GGbPnmXzpav7sj1zwAybnr1p6NtPpIfBngRJkqROeR6G\nCYuI50TE9X3To9tFdwEuzMzjM/MbmXkm8A5gInsZVlssjLqOJEmStJKpLxgi4mkRcWpEfCkifh4R\n2yPirBXWuV9EnBERV0bEzRFxeUSc0jYz9/sE8LC+6cJ2/pXAtxfd9mLgAR08pKHliTnUtCA2xtDT\nYjWP5as5O5i/NPOXVXP+mrOD+Uszf1m155+0qS8YgBNo/rP/UOCKdt7AMS4RsT/NF/8jgQtohhVt\nBY4BvhwR91i4bWbekJlb+6ab20XnAQ9adNcPBLat+dGMwcwBo437H3U9SZIk7TimvochInrADzLz\nsoh4PLAF+HBmHjHg9p8FDgNe1t9vEBFvA14BvDczX7LCNg8GzgfmuL2H4X3AcZn57gHrdNbDMJXn\nSBiFPQySJEmdsodhCZk5n5mXtVeXfXLavQuHAZcv0Zx8InAj8McRsesK2/wazZGSngF8E3gDcMKg\nYkGSJElar6a+YFilQ9vLzy1ekJk30Aw12g04ZKU7yszNmXlQZt4tMx+Ume/sNup0qXksX83Zwfyl\nmb+smvPXnB3MX5r5y6o9/6Stt4LhwPbykgHLL20vD5hAFkmSJKl6O5cO0LEN7eV1A5YvzF98tKRO\nHHnkkeyzzz7NBvbck4MOOoherwfcXskOe53Lm3mjrr/q7TGm7fXd97jy93q9sT8/5jf/tF43v9e9\n7nWvr+/rF110Eddeey0A27Zto4Spb3ru1zZAn8uApueIOB14IfDCzDxjieUnAcfRNC//VcfZbHpe\nzKZnSZKkTtn0vHYLexA2DFi+MP/aCWSpykJFW6Oas4P5SzN/WTXnrzk7mL8085dVe/5JW28Fw8Xt\n5YEDli/0LgzqcZAkSZLUZ70NSdoP+B5wOfC7/WOEImIP4N9oTvq2d2be1HE2hyQt5pAkSZKkTjkk\naY0ycyvNIVX3pTk7dL+NwK7AWV0XCwvm5ubcxSVJkqTOzc/PMzc3V2TbU18wRMThEXFmRJwJHNvO\nftTCvIh4y6JVjgKuBt4REX8XEX8ZEecCLwe+Cxw/rqxzc3O3dbXXpuZCp+bsYP7SzF9Wzflrzg7m\nL838ZdWYv9frFSsYajis6sOAI2iGEtFe7gvs117fBrx64caZuTUiDgZeDzwRmAGuBN4ObMzMQYdc\nlSRJkrRIVT0M08wehiXYwyBJktQpexgkSZIkTRULhg7V3PRca26oOzuYvzTzl1Vz/pqzg/lLM39Z\nNeYv2fRcQw9DNUr9EiVJkrS+9Xo9er0eGzdunPi27WHoSHU9DLOzsHnz+O6/n68xSZKkTtjDoMmZ\nVLEwMzOZ7UiSJGksLBh2dJmQyfyWLbf93Om0adPYH0KN4xD7mb8s85dVc/6as4P5SzN/WbXnnzQL\nhg7V3PQsSZKk6VWy6dkeho5U18PgORIkSZKqYw+DJEmSpKliwSCg7rF8NWcH85dm/rJqzl9zdjB/\naeYvq/b8k2bBIEmSJGkgexg6Yg+DJEmSxs0ehsp5lCRJkiSNQ8mjJFkwdGhubo5er1c6xkhqLnRq\nzg7mL838ZdWcv+bsYP7SzF9Wjfl7vZ4FgyRJkqTpYw9DR+xhkCRJ0rjZwyBJkiRpqlgwCKhzLN+C\nmrOD+Uszf1k15685O5i/NPOXVXv+SbNgmEKf/gjkHM2woWGn2dnSsSVJkrQO2cPQkYhI5pZeNnPA\nDJuevWk1dzZaiNX8Lu1hkCRJqk6JHoadJ7mxdW8LsA+w7x1nb750822NzMO47Sv8sF/mRy0wJEmS\nVIX5+fliQ6kcktShnE/yzCRPvH2aOWCmdKyh1DyWr+bsYP7SzF9Wzflrzg7mL838ZdWYv+R5GNzD\nMGarGoq0YM49BpIkSZoO9jB0pMvzMKy6v2CUfgR7GCRJkqrjeRgkSZIkTRULBgF1juVbUHN2MH9p\n5i+r5vw1Zwfzl2b+smrPP2kWDJIkSZIGsoehI/YwSJIkadzsYZAkSZI0VSwYOjQ3N1d2TFzE8NMi\nNY/lqzk7mL8085dVc/6as4P5SzN/WTXmn5+fL3YeBguGDs3NzdHr9Sa/4ZkRTw436nqSJEmaqJIn\nbrOHoSNFexgkSZK0Q7CHQZIkSdJUsWAQUOdYvgU1Zwfzl2b+smrOX3N2MH9p5i+r9vyTZsEgSZIk\naSB7GDpiD4MkSZLGzR4GSZIkSVPFgkFA3WP5as4O5i/N/GXVnL/m7GD+0sxfVu35J82CQZIkSdJA\n9jB0xB4GSZIkjZs9DJIkSZKmigVDh+bm5qodE1drbqg7O5i/NPOXVXP+mrOD+Uszf1k15p+fn2du\nbq7ItncustV1qtQvUZIkSetbr9ej1+uxcePGiW/bHoaO2MMgSZKkcbOHQZIkSdJUsWAQUOdYvgU1\nZwfzl2b+smrOX3N2MH9p5i+r9vyTZsEgSZIkaSB7GDpiD4MkSZLGzR4GSZIkSVPFgkFA3WP5as4O\n5i/N/GXVnL/m7GD+0sxfVu35J82CQZIkSdJA9jB0xB4GSZIkjZs9DJIkSZKmigWDgLrH8tWcHcxf\nmvnLqjl/zdnB/KWZv6za80+aBYMkSZKkgexh6Ig9DJIkSRo3exgkSZIkTRULBgF1j+WrOTuYvzTz\nl1Vz/pqzg/lLM39ZteefNAuGDs3NzfkClCRJUufm5+eZm5srsm17GDpiD4MkSZLGzR4GSZIkSVPF\ngkFA3WP5as4O5i/N/GXVnL/m7GD+0sxfVu35J82CQZIkSdJA9jB0xB4GSZIkjZs9DLWLWHqanS2d\nTJIkSRqJBcMkbN5cOsGKah7LV3N2MH9p5i+r5vw1Zwfzl2b+smrPP2k7lw6wriw1hGhheFFMdM+R\nJEmS1Al7GDoysIdhdna0PQwzM7Bp09qDSZIkad0o0cNgwdCRTpueJUmSpCXY9Kxiah7LV3N2MH9p\n5i+r5vw1Zwfzl2b+smrPP2kWDJIkSZIGckhSRxySJEmSpHFzSJIkSZKkqWLBIKDusXw1Zwfzl2b+\nsmrOX3N2MH9p5i+r9vyTZsGwhIjYFhHbl5g+XTqbJEmSNEn2MCwhIu4J7NQ367eAC4EjM/OsAevY\nwyBJkqSxKtHD4Jmel5CZP+m/HhEvAq4D/qZMIkmSJKkMhyStICICeAHw4cy8pXSecal5LF/N2cH8\npZm/rJrz15wdzF+a+cuqPf+kWTCs7DBgH+B9hXNIkiRJE7dD9zBExHOA9/TNemJmnrfoNh8D7p+Z\nh6xwX/YwSJIkaaw8D8MSIuJpEXFqRHwpIn7eHq1oycbjvnXuFxFnRMSVEXFzRFweEadExJ6LbvoJ\n4GF904WL7mdv4Mm4d0GSJEk7qKkvGIATgKOBhwJXtPMG/is/IvanPaIRcAFwMrAVOAb4ckTcY+G2\nmXlDZm7tm25edHdHAjcDH+3moUyvmsfy1ZwdzF+a+cuqOX/N2cH8pZm/rNrzT1oNBcPLgQMycwPw\nkiFu/y7gN4GXZeZTMvN1mflfgFOAA4GThtlo2+z8QuD/ZOaNo0Wvx0UXXVQ6wshqzg7mL838ZdWc\nv+bsYP7SzF9W7fknbeoLhsycz8zL2qvLjtdq9y4cBlyemactWnwicCPwxxGx6xCb7gH7s4MMR7r2\n2mtLRxhZzdnB/KWZv6ya89ecHcxfmvnLqj3/pE19wbBKh7aXn1u8IDNvAM4DdgOWbWBub78lM3fK\nzK91G3E6bdu2rXSEkdWcHcxfmvnLqjl/zdnB/KWZv6za80/aeisYDmwvLxmw/NL28oAJZKlKzbvm\nas4O5i/N/GXVnL/m7GD+0sxfVu35J229nel5Q3t53YDlC/MXHy2pE03bQ71qzl9zdjB/aeYvq+b8\nNWcH85dm/rJqzz9J661gKGbSx8OVJEmSJmG9DUla2IOwYcDyhfl2ukiSJElDWG8Fw8Xt5YEDli/0\nLgzqcZAkSZLUZ70VDFvay8Ni0cC0iNgDeDTwC5oTuk2FiDiuPXv1qaWzDCsijo6Ib0TEde10fkTM\nlM41rPY5/2qb/eqI+GREPKR0rmFFxOPazFe0r53nlc40jIg4qj3r+k0R8bWIeEzpTMOq9TlfsA5e\n81W/5/Sr9D1/rs3cP11ZOtewIuK+EfHB9rV/U0T8a0Q8rnSuYUTEtiWe++0R8enS2YYRETtFxBsi\nYmv73G9tr+9UOtswImKPiHh7+3u4MSLOi4iDS+dayrCfU6N+Fq+rgiEzt9IcUnVfmrND99sI7Aqc\nlZk3TTrbUiLiEOBFwL+wzNmrp9APgNcADwceAZwL/H1E/F7RVMN7PPBO4PeBJwC/Av4hIvYqmmp4\nu9G8Zo4BbqKC105EPBN4O/AXwEHA+cBnIuL+RYMNr7rnfJHaX/O1v+cAVb/nQ7MH/z59UxXPfUTs\nSXNI9QRmgAcBLwWuLplrFR7BHZ/3/0jzWM4pGWoVXgscBbyMZvTHMTTfz44rGWoV3k9zfq8jgP9A\n8x3zHyLit4qmWtqKn1Nr+SyOzOl+z4qIw4HD26v3Af4A2Ar8Uzvvmsx8dd/t96N5AvYGPkHzJvdI\nmhOxfRd4VGb+bCLhlxERG4ALgRcAc8A3M/N/Fg21BhHxE+DYzKzuRHcRsRtN/8t/z8xNpfOsRkRc\nDxydmR8qnWU5EfHPwEWZ+eK+eZcAH8/M15VLtnq1POfLqfk1v6C295ya3/MjYg54amZWUST0i4g3\nAo/NzMeWztKFiDgeeBVw38y8pXSelbR7Qq7JzOf3zfsgsFdmPrlcspVFxN2AnwNPycxP9c3/GvCZ\nzPzzYuFWMOhzai2fxTXsYXgYTWX3XJoqL2n2IBzRTk/tv3G7l+Fg4EyaQuGV7e3fDhwyDcVC63Tg\nY5n5j6xwButp1u5u/B80le35pfOM6O40fwvT8tpYVyJiF5r/ii0+oeLngEdNPpGo+DVf8XtO7e/5\n+0XED9shJR+NiH1LBxrS4cBXIuKciLgqIr4eEYtHIFQhIoKm4PxwDcVC60vAEyLiQICIeDDNSXY3\nF001nJ2BnYDFz/XNQDVDahes9bN46g+rmpkbaYYTrWadK4A/GU+itYuIFwH7Ac9uZ033bp4ltEMB\nvgz8O+AG4I8y81/LphrZXwNfp3k86t69aN50r1o0/2qavYaavOpe8zW/56yD9/wLgOfR7LG/N3AC\ncH5EPCQzf1o02cr2oxkSczLwRpphbadGBJl5WtFkq3cYsA9QxV41gMz8q4i4O/DtiPg1zffOv8jM\n9xSOtqLMvD4ivgycEBHfovkMexZwCLefCLgma/osrmEPQ7Ui4jkRcX3f9Oi2yj4JeE5m/nrhpkzh\nf5yWyt+3+GLgocB/Bt4NfGjamihXyL9wm5NpKuun5pSNzxsmv7Ra0/yaX8HUv+cspab3/EEy8/9m\n5scz81uZ+QXgSTTfH2po/r8LcGFmHp+Z38jMM4F3cOc+xxq8CPhKZn6zdJBhtXsDn0vzRfvhNCND\njo6Iqf2n7iLPBbYDV9DsWXgp8FHqK/rXLjN36Al4GnAqzW6zn9O8MM5aYZ37AWcAV9K8gC4HTgH2\nXHS73Wn+u7Ew/QZwZLuNX/ZN24FfA7cCd53m/Mvc5+eB90/7879o+SnAD4EH1vL6WeK+rgeOmPK/\ng13a1/lTF80/Ddiy1uzjzj+u57xE/i5e86Wf/771R3rPmXR+On7Pn6Ln/1zgtGnPDmwDTl8077nA\nDdP+2lm0zt40Q2Ne0EXuCT7/PwBetmje8cClNeTvW+duwL3bn88BPjWtWdv17vQ5xRo/izt70dU6\nARe1v7TrgG+3P39omdvvT7M7ZzvwtzS7OL/QXv8OcI8VtrcBeHDf9BDgK8CHgQdPe/5l7vfc5bY7\nbflphmRcCRxY0+tnifvrqmAY6+OgGdLw3kXzLgFOWmv2Sf8eunrOJ52/q9d86ee/7z5Ges+ZdH46\nfs+fhuef5p9f/wacMO3ZgY8AX1w07w3At2p67mmOEnYdsGsXuSf4/P+Ypvm2f95xwPdqyL/E+nvR\n9H69cJqzMuBzijV8Fnf2oqt1ojl60v7tz48f4hf42fY2i/8A3tbOf/cIGeaBU2vJD7yJpuFnH5pD\n6/0lzX/L/msl+U9r/2AP5Y6Hq9utkvy70RwO7SCa84r8efvz/af17wB4Bu1/x4B/T/Pl9edryTzh\n/J0/5xPO39lrvlD+zt5zSuRfYv15RnzPL/T8vxV4HM0BRB4JfBq4tovX/wSyH0yzJ+d1wO8CT2+z\nv6SG575dFjRf6t7bReYJP/8foNnLMNP+/f4RzZj5t1SS/w+AP2xf+4fRfOk/H9hpCrOu+DnFGj6L\nO33h1T61v8yBv0Caam87cNkSy3anacS7nlX+B4DmhHPvqCV/+wawjWb32FU0HfaHVZR/YTjAxYHA\nEQAAB0lJREFU9kXT/6okf68vc//jOGOtv4NxPg7gJTS7U28Gvgo8pou8k8g/7ud8AvnH8pqfYP6x\nvOdM8vW/6HadvOdP8Pn/KM1QtltoxnJ/DHhQDdnbZTM0X/RuoumFeWktz3277ND27/fgceQe82tn\nd5ohNNuAG4HLaM4BsEsl+Z8OfK9977mSpv9ljynNunCfy35OMeJn8dQfJWnKHNpeLj4kFZl5Q0Sc\nR1OBHkKzu3womXnoyrfqRCf5s+94yhPWVf5Szf5d5Z+n7AELRnocmflummbV0ladfwqe836j5J+W\n7DBa/lLvOUtZ89/xBN/zlzLK8/+sycVb1qjvPZuZjsN4jpp/C83RbUob5bVzA/CKdiptlPwfoymQ\nJ21sn1OjfhZP04dIDQ5sLy8ZsHzhMFsHTCDLKMxfVu35F9T+OMxflvnLqjl/zdnB/KXVlH/qslow\nrM6G9vK6AcsX5u85gSyjMH9ZtedfUPvjMH9Z5i+r5vw1Zwfzl1ZT/qnLasEgSZIkaSALhtVZqOg2\nDFi+MP/aCWQZhfnLqj3/gtofh/nLMn9ZNeevOTuYv7Sa8k9dVguG1bm4vTxwwPKFsWSDxpyVZv6y\nas+/oPbHYf6yzF9Wzflrzg7mL62m/FOX1YJhdba0l4dFRPQviIg9gEfTHPv2gkkHG5L5y6o9/4La\nH4f5yzJ/WTXnrzk7mL+0mvJPXVYLhlXIzK00h7jaFzh60eKNwK40p/m+adLZhmH+smrPv6D2x2H+\nssxfVs35a84O5i+tpvzTmDXakzjssCLicODw9up9aM7qtxX4p3beNZn56r7b70dzlr+9gU/Q7DZ6\nJM0JM74LPCozfzaR8Jgf83ei9sdhfvOvhfnL5a85e5vH/OZfd1mXNMoZ6tbTBJzI7WfF658WzpC3\ndYl17gecQXPWv1tozph3MrDB/OavKf96eRzmN7/568xfc3bzm3+9Zl1q2uH3MEiSJEkazB4GSZIk\nSQNZMEiSJEkayIJBkiRJ0kAWDJIkSZIGsmCQJEmSNJAFgyRJkqSBLBgkSZIkDWTBIEmSJGkgCwZJ\nkiRJA1kwSJIkSRrIgkGSJEnSQBYMkqQiIqIXEdv7pu+McVv3WrSt7ePaliStNzuXDiBJmk4R8WTg\nHcCDM/PGMW5qvp1+PMZt/AKYa39+PvCAMW5LktYV9zBIku4kIgI4ieaL9cuGXGf/iLgyIu6/ys3N\nZ+brM/Ndq805rMy8qd3G64Hvj2s7krQeWTBIkpbyDODzwK3An0XE7kOs89+AvYCrxhlMkjRZFgyS\npDuIiLsALwCOBc4A7gkcM8SqjwUuyMxb17j9B7V9Bucuc5tvRsStEXHv9vo+7TofiIgHRsQ5EXF1\nRPw6Ih6/ljyStKOzYJAkLfYs4O/bL/4nAbcAr4yIu6+w3mOAL65145l5MbAF6EXEAYuXR8SjgIe0\nGRfvzdgfuIBmKNVZwHuB69aaSZJ2ZBYMkqTbRMROwJHA+wAy84fA6TRDjV6xxO2fERGfiYgLgN8E\nntBeP2qNURb6Gf50iWUL8967xLLHAO/KzN/PzFdl5lGZedEas0jSDi0ys3QGSdKUiIjnAbtk5vv6\n5t0HuIymn2HfzLx2ifVeDPw1sCEzbxlyWz3gXGCubUbuX7YT8P+AXYDfXhjmFBF7AlcCV2TmA/tu\nvw+wFfgR8DuZ+ctltjsPPDYzdxompyTt6NzDIEkCICJ2Bp5D07dwm8z8EfAeYAPwygGrHwp8Zdhi\nYSWZ+WuavRz3BJ7at+i5wG/Q7PVYyjeWKxYkSatnwSBJWnAEcHb7ZX2xN9Gcy+CYiNhrieU94B87\nznM68GvgxX3z/pSmp+IDA9b5UccZJGmHZ8EgSSIi7go8E/jQUssz8xrgNGAP4NWL1n0IsDcdFwyZ\neSXwSeBxEXFgX7Pz32XmTwat1mUGSZIFgySp8XzgrMzcvsxt3gzcALw0Iu7ZN/9Q4FfA+QARsSEi\n7tdRroXm5xezfLOzJGlMLBgkaQcXEbsATwHOXu52mflTmsbm3YHX9i16LPD1zLyxvX4MTQGxZpn5\nBeAS4HnA04GLM7ProU+SpGXsXDqAJKm4F9IcEvX0iFjptnu2l0dFxFsz82qafz59HyAi/hNwY9so\n3ZX3ACe3Pw9qdpYkjYkFgyTtwNqzOh8L/Dbw8CFXS+BuNOdlOA54A/CuiHgLcFVmvrXjmGcCbwNu\nBj7Y8X1LklZgwSBJO7C2Z+EBa7yPf6E5YdqoVtqtcVB7m49n5s8GZNiGw2wlaSx8c5UklXZiRGyP\niO8MWP6a9vKdo24gIu7VbmM78LhR70eSdkTuYZAklXI5sJHbD4X644UFEfF7wJOARwBPBD6VmV9d\nw7Z+sWhbkqQhRabvnZKk6RIRz6M5Odt1wGeBo9qjNEmSJsyCQZIkSdJA9jBIkiRJGsiCQZIkSdJA\nFgySJEmSBrJgkCRJkjSQBYMkSZKkgSwYJEmSJA1kwSBJkiRpIAsGSZIkSQP9fyCQh8H+w5gVAAAA\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8166977f90>"
      ]
     },
     "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\")\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": 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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