Day5_electron_detector_scattering.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simulating electron - proton collisions \n",
    "\n",
    "### Day-5 : Last day - \n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Importing useful headers\n",
    "import pythia8\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Initialize the pythia object and setup the type of collisions "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pythia = pythia8.Pythia()\n",
    "#Set up incoming beams, for frame with unequal beam energies.\n",
    "pythia.readString(\"Beams:frameType = 2\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set the proton energy - \n",
    "pEnergy = 920\n",
    "#BeamA = proton.\n",
    "pythia.readString(\"Beams:idA = 2212\")\n",
    "pythia.settings.parm(\"Beams:eA\", pEnergy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set the electron energy - \n",
    "eEnergy = 500\n",
    "#BeamB = electron.\n",
    "pythia.readString(\"Beams:idB = 11\")\n",
    "pythia.settings.parm(\"Beams:eB\", eEnergy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Set up DIS process within some phase space.\n",
    "#Neutral current (with gamma/Z interference).\n",
    "pythia.readString(\"WeakBosonExchange:ff2ff(t:gmZ) = on\")\n",
    "\n",
    "#Phase-space cut: minimal Q2 of process.\n",
    "pythia.settings.parm(\"PhaseSpace:Q2Min\", 25)\n",
    "\n",
    "#Set dipole recoil on. Necessary for DIS + shower.\n",
    "pythia.readString(\"SpaceShower:dipoleRecoil = on\")\n",
    "\n",
    "#Allow emissions up to the kinematical limit,\n",
    "#since rate known to match well to matrix elements everywhere.\n",
    "pythia.readString(\"SpaceShower:pTmaxMatch = 2\")\n",
    "\n",
    "#QED radiation off lepton not handled yet by the new procedure.\n",
    "pythia.readString(\"PDF:lepton = off\")\n",
    "pythia.readString(\"TimeShower:QEDshowerByL = off\")\n",
    "\n",
    "pythia.init()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "Number_of_events = 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "22 0.0426 4.56 0.0208 -2.96 2.04 2.04 0.0 0.0\n",
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      "22 2.05 -3.08 3.05 -1.59 22.4 22.4 0.0 0.0\n",
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      "-211 0.936 0.669 0.947 -0.968 1.16 1.15 0.14 -1.0\n",
      "211 1.11 5.92 0.00538 0.773 206.0 206.0 0.14 1.0\n",
      "211 0.108 -1.94 2.86 -0.621 0.408 0.384 0.14 1.0\n",
      "211 0.522 0.532 1.06 -2.4 0.614 0.598 0.14 1.0\n",
      "-211 0.22 0.985 0.715 -0.135 0.363 0.335 0.14 -1.0\n",
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      "22 0.186 4.59 0.0203 -0.0174 9.15 9.15 0.0 0.0\n",
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      "22 0.109 -0.95 2.4 -0.668 0.162 0.162 0.0 0.0\n",
      "22 0.103 -1.32 2.62 0.64 0.206 0.206 0.0 0.0\n",
      "11 7.67 -4.71 3.12 1.09 424.0 424.0 0.000511 -1.0\n",
      "211 0.553 4.89 0.0151 0.638 36.7 36.7 0.14 1.0\n",
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      "22 0.293 2.39 0.183 0.812 1.61 1.61 0.0 0.0\n",
      "22 0.42 2.19 0.222 0.0125 1.91 1.91 0.0 0.0\n",
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      "22 0.0455 -3.46 3.08 -2.39 0.721 0.721 0.0 0.0\n",
      "22 0.605 -0.922 2.38 -2.86 0.881 0.881 0.0 0.0\n",
      "22 0.265 -1.61 2.75 -2.66 0.689 0.689 0.0 0.0\n",
      "22 0.343 -1.95 2.86 -2.38 1.23 1.23 0.0 0.0\n",
      "-211 0.155 -2.29 2.94 2.55 0.786 0.774 0.14 -1.0\n",
      "22 0.0778 -1.26 2.59 0.36 0.148 0.148 0.0 0.0\n",
      "22 0.212 4.43 0.0239 -2.97 8.87 8.87 0.0 0.0\n",
      "22 0.117 5.04 0.0129 2.71 9.04 9.04 0.0 0.0\n",
      "22 0.0663 4.38 0.025 -2.56 2.65 2.65 0.0 0.0\n",
      "22 0.361 4.6 0.0201 -1.69 17.9 17.9 0.0 0.0\n",
      "22 0.245 -1.34 2.63 -0.946 0.502 0.502 0.0 0.0\n",
      "22 0.154 -0.764 2.27 -0.576 0.201 0.201 0.0 0.0\n",
      "22 0.219 5.31 0.00987 0.181 22.2 22.2 0.0 0.0\n",
      "22 0.415 5.65 0.00705 0.477 58.9 58.9 0.0 0.0\n",
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      "-211 0.125 6.31 0.00362 1.06 34.4 34.4 0.14 -1.0\n",
      "211 0.215 -3.28 3.07 -1.94 2.88 2.87 0.14 1.0\n",
      "-211 0.464 -2.09 2.9 -2.21 1.91 1.91 0.14 -1.0\n",
      "22 0.0853 0.124 1.45 0.606 0.0859 0.0859 0.0 0.0\n",
      "22 0.0805 0.962 0.73 -0.919 0.121 0.121 0.0 0.0\n",
      "-211 0.781 -2.24 2.93 -2.32 3.71 3.7 0.14 -1.0\n",
      "211 0.898 -3.07 3.05 -3.0 9.72 9.72 0.14 1.0\n",
      "130 1.4 -2.81 3.02 -1.92 11.7 11.7 0.498 0.0\n",
      "22 0.257 -2.51 2.98 -2.41 1.6 1.6 0.0 0.0\n",
      "22 0.019 -4.2 3.11 -2.77 0.634 0.634 0.0 0.0\n",
      "211 0.0684 -1.68 2.77 0.655 0.236 0.191 0.14 1.0\n",
      "-2212 0.498 -0.983 2.43 0.702 1.21 0.758 0.938 -1.0\n",
      "211 0.113 -0.663 2.19 1.93 0.197 0.138 0.14 1.0\n",
      "211 0.199 -1.91 2.85 -1.26 0.699 0.685 0.14 1.0\n",
      "-211 0.135 -1.4 2.66 2.84 0.322 0.291 0.14 -1.0\n",
      "22 0.0696 -2.61 3.0 -1.71 0.477 0.477 0.0 0.0\n",
      "22 0.0758 -1.7 2.78 3.05 0.214 0.214 0.0 0.0\n",
      "22 0.275 -2.07 2.89 2.16 1.11 1.11 0.0 0.0\n",
      "2212 0.338 -2.67 3.0 -1.89 2.63 2.46 0.938 1.0\n",
      "-211 0.118 -2.6 2.99 -1.57 0.813 0.801 0.14 -1.0\n",
      "11 10.1 -4.58 3.12 -1.08 494.0 494.0 0.000511 -1.0\n",
      "211 1.23 -0.0461 1.62 2.27 1.24 1.23 0.14 1.0\n",
      "-321 0.946 0.0221 1.55 2.29 1.07 0.946 0.494 -1.0\n",
      "2212 0.269 4.17 0.0308 0.677 8.8 8.75 0.938 1.0\n",
      "-2212 0.5 5.65 0.00704 2.74 71.1 71.1 0.938 -1.0\n",
      "2112 0.92 7.08 0.00169 1.85 545.0 545.0 0.94 0.0\n",
      "130 0.571 0.977 0.72 2.02 0.998 0.865 0.498 0.0\n",
      "211 0.708 5.67 0.00691 1.44 103.0 103.0 0.14 1.0\n",
      "2212 2.2 -0.314 1.88 2.06 2.49 2.31 0.938 1.0\n",
      "-2112 1.81 -0.313 1.88 2.08 2.12 1.9 0.94 0.0\n",
      "-211 0.75 -0.157 1.73 2.34 0.772 0.759 0.14 -1.0\n",
      "211 0.211 -0.819 2.31 2.49 0.318 0.285 0.14 1.0\n",
      "-211 0.227 -0.268 1.84 -1.6 0.274 0.235 0.14 -1.0\n",
      "22 0.191 2.77 0.126 -2.77 1.53 1.53 0.0 0.0\n",
      "22 0.113 1.88 0.303 -2.72 0.38 0.38 0.0 0.0\n",
      "22 0.0333 5.17 0.0114 0.0895 2.92 2.92 0.0 0.0\n",
      "22 0.585 4.32 0.0266 -0.323 21.9 21.9 0.0 0.0\n",
      "22 0.0811 7.0 0.00183 -0.26 44.4 44.4 0.0 0.0\n",
      "22 0.0364 8.77 0.000311 1.38 117.0 117.0 0.0 0.0\n",
      "22 0.806 -0.276 1.84 1.91 0.837 0.837 0.0 0.0\n",
      "22 0.395 -0.189 1.76 2.14 0.402 0.402 0.0 0.0\n",
      "22 0.095 0.297 1.28 1.73 0.0993 0.0993 0.0 0.0\n",
      "22 0.0641 1.19 0.592 0.0804 0.115 0.115 0.0 0.0\n",
      "11 9.9 -4.57 3.12 -0.344 480.0 480.0 0.000511 -1.0\n",
      "321 0.742 6.13 0.00437 1.31 170.0 170.0 0.494 1.0\n",
      "211 0.728 -0.555 2.1 2.55 0.854 0.843 0.14 1.0\n",
      "-321 0.341 1.74 0.347 -2.02 1.12 1.0 0.494 -1.0\n",
      "211 0.377 3.12 0.0886 3.04 4.27 4.26 0.14 1.0\n",
      "-211 0.129 5.48 0.00833 2.94 15.5 15.5 0.14 -1.0\n",
      "211 0.0498 4.51 0.0219 -2.92 2.27 2.27 0.14 1.0\n",
      "-211 0.392 4.94 0.0143 1.12 27.5 27.5 0.14 -1.0\n",
      "2112 0.328 7.17 0.00154 2.6 212.0 212.0 0.94 0.0\n",
      "-211 0.957 -1.54 2.72 2.55 2.35 2.34 0.14 -1.0\n",
      "130 0.374 -1.38 2.65 -2.55 0.935 0.792 0.498 0.0\n",
      "321 1.03 1.1 0.641 -1.83 1.79 1.72 0.494 1.0\n",
      "-211 0.241 1.97 0.277 -0.789 0.893 0.882 0.14 -1.0\n",
      "211 0.375 4.13 0.0322 -2.06 11.7 11.7 0.14 1.0\n",
      "2212 3.48 -1.49 2.7 2.77 8.14 8.08 0.938 1.0\n",
      "-211 0.97 -1.43 2.67 2.86 2.15 2.15 0.14 -1.0\n",
      "321 0.395 -0.395 1.96 2.48 0.652 0.427 0.494 1.0\n",
      "-321 0.595 -0.492 2.04 2.8 0.831 0.668 0.494 -1.0\n",
      "211 0.189 1.19 0.593 -1.81 0.366 0.338 0.14 1.0\n",
      "-211 0.289 2.54 0.158 -0.637 1.84 1.84 0.14 -1.0\n",
      "-2112 1.75 -1.48 2.7 2.45 4.16 4.05 0.94 0.0\n",
      "22 0.0409 6.18 0.00415 0.64 9.87 9.87 0.0 0.0\n",
      "22 0.215 5.82 0.00593 -0.901 36.3 36.3 0.0 0.0\n",
      "211 0.195 6.97 0.00189 1.1 103.0 103.0 0.14 1.0\n",
      "-211 0.277 6.7 0.00247 -3.05 112.0 112.0 0.14 -1.0\n",
      "22 0.163 1.48 0.448 -0.585 0.376 0.376 0.0 0.0\n",
      "22 0.204 2.04 0.258 -1.06 0.799 0.799 0.0 0.0\n",
      "22 0.43 -1.1 2.5 2.46 0.719 0.719 0.0 0.0\n",
      "22 0.111 -1.7 2.78 2.36 0.314 0.314 0.0 0.0\n",
      "22 0.0192 7.52 0.00108 0.394 17.7 17.7 0.0 0.0\n",
      "22 0.203 6.72 0.00242 -2.81 83.9 83.9 0.0 0.0\n",
      "22 0.0772 6.33 0.00356 1.26 21.7 21.7 0.0 0.0\n",
      "22 0.337 6.2 0.00404 2.11 83.3 83.3 0.0 0.0\n"
     ]
    }
   ],
   "source": [
    "part_pt = []\n",
    "part_eta = []\n",
    "part_theta = []\n",
    "part_phi = []\n",
    "part_E = []\n",
    "part_p = []\n",
    "part_m = []\n",
    "part_id = []\n",
    "part_q = []\n",
    "\n",
    "for iEvent in range(0, Number_of_events):\n",
    "    if not pythia.next():\n",
    "        continue\n",
    "    for particle in pythia.event:\n",
    "    #if 1:\n",
    "        if particle.isFinal():\n",
    "            pT = float('%.3g' % particle.pT())\n",
    "            part_pt.append(pT)\n",
    "            eta = float('%.3g' % particle.eta())\n",
    "            part_eta.append(eta)\n",
    "            theta = float('%.3g' % particle.theta())\n",
    "            part_theta.append(theta)\n",
    "            phi = float('%.3g' % particle.phi())\n",
    "            part_phi.append(phi)\n",
    "            E = float('%.3g' % particle.e())\n",
    "            part_E.append(E)\n",
    "            p = float('%.3g' % particle.pAbs())\n",
    "            part_p.append(p)\n",
    "            mass = float('%.3g' % particle.m())\n",
    "            part_m.append(mass)\n",
    "            part_id.append(particle.id())\n",
    "            q = particle.charge()\n",
    "            part_q.append(q)\n",
    "            print(particle.id(), pT, eta, theta, phi, E, p, mass, q)\n",
    "\n",
    "part_pt = np.array(part_pt)\n",
    "part_phi = np.array(part_phi)\n",
    "part_eta = np.array(part_eta)\n",
    "part_theta = np.array(part_theta)\n",
    "part_E = np.array(part_E)\n",
    "part_p = np.array(part_p)\n",
    "part_m = np.array(part_m)\n",
    "part_id = np.array(part_id)\n",
    "part_q = np.array(part_q)\n",
    "particles = np.vstack((part_id, part_pt, part_phi, part_eta, part_theta, part_E, part_p, part_m, part_q)).T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Worksheet to guide the structured tutorial, varying the setup - to build intuition \n",
    "what did we start with, and what did we change, and what did we see - learning objectives for the day \n",
    "something to guide the activities \n",
    "connect to big picture of why it matters \n",
    "### where did we get this simulation from? is this just random or what are these numbers \n",
    "#### dice rolls "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ID</th>\n",
       "      <th>pT</th>\n",
       "      <th>phi</th>\n",
       "      <th>eta</th>\n",
       "      <th>theta</th>\n",
       "      <th>Energy</th>\n",
       "      <th>momentum</th>\n",
       "      <th>mass</th>\n",
       "      <th>q</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>11.0</td>\n",
       "      <td>8.6400</td>\n",
       "      <td>0.884</td>\n",
       "      <td>-4.69</td>\n",
       "      <td>3.120000</td>\n",
       "      <td>470.000</td>\n",
       "      <td>470.000</td>\n",
       "      <td>0.000511</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>211.0</td>\n",
       "      <td>0.1630</td>\n",
       "      <td>-1.970</td>\n",
       "      <td>5.80</td>\n",
       "      <td>0.006030</td>\n",
       "      <td>27.100</td>\n",
       "      <td>27.100</td>\n",
       "      <td>0.140000</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-211.0</td>\n",
       "      <td>0.5270</td>\n",
       "      <td>2.270</td>\n",
       "      <td>7.69</td>\n",
       "      <td>0.000913</td>\n",
       "      <td>577.000</td>\n",
       "      <td>577.000</td>\n",
       "      <td>0.140000</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>211.0</td>\n",
       "      <td>0.3880</td>\n",
       "      <td>0.942</td>\n",
       "      <td>6.48</td>\n",
       "      <td>0.003080</td>\n",
       "      <td>126.000</td>\n",
       "      <td>126.000</td>\n",
       "      <td>0.140000</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-211.0</td>\n",
       "      <td>0.2670</td>\n",
       "      <td>0.626</td>\n",
       "      <td>5.79</td>\n",
       "      <td>0.006120</td>\n",
       "      <td>43.700</td>\n",
       "      <td>43.700</td>\n",
       "      <td>0.140000</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
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       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>362</th>\n",
       "      <td>22.0</td>\n",
       "      <td>0.1110</td>\n",
       "      <td>2.360</td>\n",
       "      <td>-1.70</td>\n",
       "      <td>2.780000</td>\n",
       "      <td>0.314</td>\n",
       "      <td>0.314</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>363</th>\n",
       "      <td>22.0</td>\n",
       "      <td>0.0192</td>\n",
       "      <td>0.394</td>\n",
       "      <td>7.52</td>\n",
       "      <td>0.001080</td>\n",
       "      <td>17.700</td>\n",
       "      <td>17.700</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>364</th>\n",
       "      <td>22.0</td>\n",
       "      <td>0.2030</td>\n",
       "      <td>-2.810</td>\n",
       "      <td>6.72</td>\n",
       "      <td>0.002420</td>\n",
       "      <td>83.900</td>\n",
       "      <td>83.900</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>365</th>\n",
       "      <td>22.0</td>\n",
       "      <td>0.0772</td>\n",
       "      <td>1.260</td>\n",
       "      <td>6.33</td>\n",
       "      <td>0.003560</td>\n",
       "      <td>21.700</td>\n",
       "      <td>21.700</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>366</th>\n",
       "      <td>22.0</td>\n",
       "      <td>0.3370</td>\n",
       "      <td>2.110</td>\n",
       "      <td>6.20</td>\n",
       "      <td>0.004040</td>\n",
       "      <td>83.300</td>\n",
       "      <td>83.300</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>367 rows × 9 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        ID      pT    phi   eta     theta   Energy  momentum      mass    q\n",
       "0     11.0  8.6400  0.884 -4.69  3.120000  470.000   470.000  0.000511 -1.0\n",
       "1    211.0  0.1630 -1.970  5.80  0.006030   27.100    27.100  0.140000  1.0\n",
       "2   -211.0  0.5270  2.270  7.69  0.000913  577.000   577.000  0.140000 -1.0\n",
       "3    211.0  0.3880  0.942  6.48  0.003080  126.000   126.000  0.140000  1.0\n",
       "4   -211.0  0.2670  0.626  5.79  0.006120   43.700    43.700  0.140000 -1.0\n",
       "..     ...     ...    ...   ...       ...      ...       ...       ...  ...\n",
       "362   22.0  0.1110  2.360 -1.70  2.780000    0.314     0.314  0.000000  0.0\n",
       "363   22.0  0.0192  0.394  7.52  0.001080   17.700    17.700  0.000000  0.0\n",
       "364   22.0  0.2030 -2.810  6.72  0.002420   83.900    83.900  0.000000  0.0\n",
       "365   22.0  0.0772  1.260  6.33  0.003560   21.700    21.700  0.000000  0.0\n",
       "366   22.0  0.3370  2.110  6.20  0.004040   83.300    83.300  0.000000  0.0\n",
       "\n",
       "[367 rows x 9 columns]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Event_Particles = pd.DataFrame(particles, columns=['ID','pT','phi','eta','theta','Energy', 'momentum','mass','q'])\n",
    "Event_Particles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Event_Particles['Energy'].plot.hist()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fastsmear(df):\n",
    "\n",
    "    part_pt = np.asarray(df['pT'])\n",
    "    part_eta = np.asarray(df['eta'])\n",
    "    part_theta = np.asarray(df['theta'])\n",
    "    part_phi = np.asarray(df['phi'])\n",
    "    part_E = np.asarray(df['Energy'])\n",
    "    part_p = np.asarray(df['momentum'])\n",
    "    part_m = np.asarray(df['mass'])\n",
    "    part_id = np.asarray(df['ID']).astype(int)\n",
    "    part_q = np.asarray(df['q'])\n",
    "\n",
    "    part_pt_new = []\n",
    "    part_E_new = []\n",
    "    part_p_new = []\n",
    "    part_m_new = []\n",
    "    part_phi_new = []\n",
    "    part_eta_new = []\n",
    "    part_theta_new = []\n",
    "    part_id_new = []\n",
    "    part_q_new = []\n",
    "    \n",
    "    for i in range(0, len(part_pt)):\n",
    "\n",
    "        if (part_q[i] == 0): # neutral particle\n",
    "            E = part_E[i]\n",
    "            E_new = (1+np.random.normal(loc=0, scale=0.4/np.sqrt(E)))*E\n",
    "            ratio = E_new / E\n",
    "            part_E_new.append(E_new)\n",
    "            part_pt_new.append(ratio*part_pt[i])\n",
    "            part_p_new.append(ratio*part_p[i])\n",
    "            part_m_new.append(part_m[i])\n",
    "            part_phi_new.append(part_phi[i])\n",
    "            part_eta_new.append(part_eta[i])\n",
    "            part_theta_new.append(part_theta[i])\n",
    "            part_id_new.append(part_id[i])\n",
    "            part_q_new.append(part_q[i])\n",
    "        else: # charged particle\n",
    "            keep = np.random.uniform(0,1)\n",
    "            if (keep < 0.9):\n",
    "                pt = part_pt[i]\n",
    "                pt_new = (1+np.random.normal(loc=0, scale=0.01*pt))*pt\n",
    "                ratio = pt_new / pt\n",
    "                part_pt_new.append(pt_new)\n",
    "                part_p_new.append(ratio*part_p[i])\n",
    "                part_E_new.append(np.sqrt((ratio*part_p[i])**2+part_m[i]**2))\n",
    "                part_m_new.append(part_m[i])\n",
    "                part_phi_new.append(part_phi[i])\n",
    "                part_eta_new.append(part_eta[i])\n",
    "                part_theta_new.append(part_theta[i])\n",
    "                part_id_new.append(part_id[i])\n",
    "                part_q_new.append(part_q[i])\n",
    "            else:\n",
    "                part_pt_new.append(-9)\n",
    "                part_p_new.append(-9)\n",
    "                part_E_new.append(-9)\n",
    "                part_m_new.append(-9)\n",
    "                part_phi_new.append(-9)\n",
    "                part_eta_new.append(-9)\n",
    "                part_theta_new.append(-9)\n",
    "                part_id_new.append(-9)\n",
    "                part_q_new.append(-9)\n",
    "                \n",
    "    part_pt = np.array(part_pt_new)\n",
    "    part_E = np.array(part_E_new)\n",
    "    part_p = np.array(part_p_new)\n",
    "    part_m = np.array(part_m_new)\n",
    "    part_phi = np.array(part_phi_new)\n",
    "    part_eta = np.array(part_eta_new)\n",
    "    part_theta = np.array(part_theta_new)\n",
    "    part_id = np.array(part_id_new)\n",
    "    part_q = np.array(part_q_new)\n",
    "\n",
    "    particles = np.vstack((part_id, part_pt, part_phi, part_eta, part_theta, part_E, part_p, part_m, part_q)).T\n",
    "    Detector_Particles = pd.DataFrame(particles, columns=['ID','pT','phi','eta','theta','Energy', 'momentum','mass','q'])\n",
    "    return Detector_Particles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "Detector_Particles = fastsmear(Event_Particles)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Detector_Particles[Detector_Particles.Energy>0]['Energy'].plot.hist()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Detector-level energy [GeV]')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "max_e = 500\n",
    "plt.figure(figsize=(6,5))\n",
    "plt.hist2d(Event_Particles['Energy'], Detector_Particles['Energy'], bins=((int)(max_e/10), (int)(max_e/10)), range=((0,max_e),(0,max_e)), cmin=1, cmax=3)\n",
    "plt.colorbar()\n",
    "plt.xlabel('Truth-level energy [GeV]')\n",
    "plt.ylabel('Detector-level energy [GeV]')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average truth-level event multiplicity: 36.7\n",
      "Average detector-level event multiplicity: 34.3\n"
     ]
    }
   ],
   "source": [
    "print(\"Average truth-level event multiplicity:\", Event_Particles.shape[0]/Number_of_events)\n",
    "print(\"Average detector-level event multiplicity:\", Detector_Particles[Detector_Particles.Energy>0].shape[0]/Number_of_events)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "Number_of_events = 10\n",
    "\n",
    "delphi = []\n",
    "deleta = []\n",
    "scattered_pT = []\n",
    "photon_pT = []\n",
    "\n",
    "# Begin event loop. Generate event. Skip if error.\n",
    "for iEvent in range(0, Number_of_events):\n",
    "    if not pythia.next():\n",
    "        continue\n",
    "    proton = pythia.event[1].p()\n",
    "    electron_in = pythia.event[4].p()\n",
    "    electron_out = pythia.event[6].p()\n",
    "    photon = electron_in - electron_out\n",
    "    deta = photon.eta()\n",
    "    dphi = photon.phi()\n",
    "    if dphi > 3.1415:\n",
    "        dphi = 6.2832 - dphi    \n",
    "    delphi.append(dphi)\n",
    "    deleta.append(deta)\n",
    "    scattered_pT.append(electron_out.pT())\n",
    "    photon_pT.append(photon.pT())\n",
    "\n",
    "delphi = np.array(delphi)\n",
    "deleta = np.array(deleta)\n",
    "scattered_pT = np.array(scattered_pT)\n",
    "photon_pT = np.array(photon_pT)\n",
    "# End of event loop. Statistics. Histogram. Done.\n",
    "pythia.stat()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([3., 0., 1., 0., 1., 1., 1., 0., 2., 1.]),\n",
       " array([-3.03869527, -2.73871515, -2.43873503, -2.13875492, -1.8387748 ,\n",
       "        -1.53879468, -1.23881456, -0.93883444, -0.63885432, -0.33887421,\n",
       "        -0.03889409]),\n",
       " <BarContainer object of 10 artists>)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(delphi, bins=10)\n",
    "plt.hist(deleta, bins=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([3., 1., 1., 0., 0., 3., 0., 1., 0., 1.]),\n",
       " array([ 5.49119279,  6.32364635,  7.15609991,  7.98855347,  8.82100704,\n",
       "         9.6534606 , 10.48591416, 11.31836772, 12.15082128, 12.98327485,\n",
       "        13.81572841]),\n",
       " <BarContainer object of 10 artists>)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAD4CAYAAAD8Zh1EAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAAsTAAALEwEAmpwYAAAN7UlEQVR4nO3cf6zd9V3H8edrtMvGhqmmd4L9QVGbmUFkNDcFXGKIjqQwsvoHf5ToIGjSQJhuZkZxS1j8x7BoZoQSmkYQSAiLYRMbV9zIMgMkFmlrWygdrpk47qhyB1lZhYg1b/+4X/R6eu4957bn9lw+fT6Sk3u+5/u53/PuN7fPnH7vOU1VIUl693vPuAeQJI2GQZekRhh0SWqEQZekRhh0SWrEsnE98cqVK2vdunXjenpJelfau3fvD6tqot++sQV93bp17NmzZ1xPL0nvSkn+da59XnKRpEYYdElqhEGXpEYYdElqhEGXpEYYdElqxMCgJ3lfkn9MciDJoSR/1GdNktyV5EiSg0k2LM64kqS5DPM+9P8EfqWqjidZDjyd5PGq2j1rzTXA+u52OXBv91WSdIYMfIVeM453m8u7W+9/or4ZeKhbuxtYkeSC0Y4qSZrPUJ8UTXIOsBf4eeCeqnqmZ8kq4OVZ21PdY0d7jrMV2Aqwdu3aUxwZ1t3+9VP+3tP10p2fGNtz68wZ18+YP186HUP9UrSq/ruqPgqsBjYmuaRnSfp9W5/j7KiqyaqanJjo+18RSJJO0YLe5VJVPwL+HtjUs2sKWDNrezXwyukMJklamGHe5TKRZEV3//3Ax4Hv9CzbCdzYvdvlCuBYVR1FknTGDHMN/QLgwe46+nuAv6qqv01yC0BVbQd2AdcCR4A3gZsXaV5J0hwGBr2qDgKX9Xl8+6z7Bdw22tEkSQvhJ0UlqREGXZIaYdAlqREGXZIaYdAlqREGXZIaYdAlqREGXZIaYdAlqREGXZIaYdAlqREGXZIaYdAlqREGXZIaYdAlqREGXZIaYdAlqREGXZIaYdAlqREGXZIaYdAlqREGXZIaYdAlqREGXZIaYdAlqREDg55kTZJvJzmc5FCSz/RZc1WSY0n2d7c7FmdcSdJclg2x5gTwuaral+Q8YG+SJ6rqhZ51T1XVdaMfUZI0jIGv0KvqaFXt6+7/GDgMrFrswSRJC7Oga+hJ1gGXAc/02X1lkgNJHk9y8RzfvzXJniR7pqenFz6tJGlOQwc9yQeBrwKfrao3enbvAy6sqkuBu4HH+h2jqnZU1WRVTU5MTJziyJKkfoYKepLlzMT84ar6Wu/+qnqjqo5393cBy5OsHOmkkqR5DfMulwD3AYer6stzrDm/W0eSjd1xXxvloJKk+Q3zLpePAZ8Cnkuyv3vs88BagKraDlwP3JrkBPAWsKWqavTjSpLmMjDoVfU0kAFrtgHbRjWUJGnh/KSoJDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwYGPcmaJN9OcjjJoSSf6bMmSe5KciTJwSQbFmdcSdJclg2x5gTwuaral+Q8YG+SJ6rqhVlrrgHWd7fLgXu7r5KkM2TgK/SqOlpV+7r7PwYOA6t6lm0GHqoZu4EVSS4Y+bSSpDkt6Bp6knXAZcAzPbtWAS/P2p7i5OiTZGuSPUn2TE9PL3BUSdJ8hg56kg8CXwU+W1Vv9O7u8y110gNVO6pqsqomJyYmFjapJGleQwU9yXJmYv5wVX2tz5IpYM2s7dXAK6c/niRpWMO8yyXAfcDhqvryHMt2Ajd273a5AjhWVUdHOKckaYBh3uXyMeBTwHNJ9nePfR5YC1BV24FdwLXAEeBN4OaRTypJmtfAoFfV0/S/Rj57TQG3jWooSdLC+UlRSWqEQZekRhh0SWqEQZekRhh0SWqEQZekRhh0SWqEQZekRhh0SWqEQZekRhh0SWqEQZekRhh0SWqEQZekRhh0SWqEQZekRhh0SWqEQZekRhh0SWqEQZekRhh0SWqEQZekRhh0SWqEQZekRhh0SWrEwKAnuT/Jq0men2P/VUmOJdnf3e4Y/ZiSpEGWDbHmAWAb8NA8a56qqutGMpEk6ZQMfIVeVU8Cr5+BWSRJp2FU19CvTHIgyeNJLp5rUZKtSfYk2TM9PT2ip5YkwWiCvg+4sKouBe4GHptrYVXtqKrJqpqcmJgYwVNLkt5x2kGvqjeq6nh3fxewPMnK055MkrQgpx30JOcnSXd/Y3fM1073uJKkhRn4LpckjwBXASuTTAFfBJYDVNV24Hrg1iQngLeALVVVizaxJKmvgUGvqhsG7N/GzNsaJUlj5CdFJakRBl2SGmHQJakRBl2SGmHQJakRBl2SGmHQJakRBl2SGmHQJakRBl2SGmHQJakRBl2SGmHQJakRBl2SGmHQJakRBl2SGmHQJakRBl2SGmHQJakRBl2SGmHQJakRBl2SGmHQJakRBl2SGmHQJakRBl2SGjEw6EnuT/Jqkufn2J8kdyU5kuRgkg2jH1OSNMgwr9AfADbNs/8aYH132wrce/pjSZIWamDQq+pJ4PV5lmwGHqoZu4EVSS4Y1YCSpOEsG8ExVgEvz9qe6h472rswyVZmXsWzdu3aETz1mbfu9q+Pe4Qz7qU7PzHuEbTIxvlzPa6frxb/zKP4pWj6PFb9FlbVjqqarKrJiYmJETy1JOkdowj6FLBm1vZq4JURHFeStACjCPpO4Mbu3S5XAMeq6qTLLZKkxTXwGnqSR4CrgJVJpoAvAssBqmo7sAu4FjgCvAncvFjDSpLmNjDoVXXDgP0F3DayiSRJp8RPikpSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSI4YKepJNSV5MciTJ7X32X5XkWJL93e2O0Y8qSZrPskELkpwD3ANcDUwBzybZWVUv9Cx9qqquW4QZJUlDGOYV+kbgSFV9r6reBr4CbF7csSRJCzVM0FcBL8/anuoe63VlkgNJHk9ycb8DJdmaZE+SPdPT06cwriRpLsMEPX0eq57tfcCFVXUpcDfwWL8DVdWOqpqsqsmJiYkFDSpJmt8wQZ8C1szaXg28MntBVb1RVce7+7uA5UlWjmxKSdJAwwT9WWB9kouSvBfYAuycvSDJ+UnS3d/YHfe1UQ8rSZrbwHe5VNWJJJ8GvgGcA9xfVYeS3NLt3w5cD9ya5ATwFrClqnovy0iSFtHAoMP/XkbZ1fPY9ln3twHbRjuaJGkh/KSoJDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSIwy6JDXCoEtSI4YKepJNSV5MciTJ7X32J8ld3f6DSTaMflRJ0nwGBj3JOcA9wDXAR4AbknykZ9k1wPruthW4d8RzSpIGGOYV+kbgSFV9r6reBr4CbO5Zsxl4qGbsBlYkuWDEs0qS5rFsiDWrgJdnbU8Blw+xZhVwdPaiJFuZeQUPcDzJiwuadnGsBH447iGWsnzJczSEkZyjfGkEkyxdfc9R43/mvgb8mQf9LF04145hgp4+j9UprKGqdgA7hnjOMybJnqqaHPccS5nnaDDP0WCeo+Gcznka5pLLFLBm1vZq4JVTWCNJWkTDBP1ZYH2Si5K8F9gC7OxZsxO4sXu3yxXAsao62nsgSdLiGXjJpapOJPk08A3gHOD+qjqU5JZu/3ZgF3AtcAR4E7h58UYeuSV1CWiJ8hwN5jkazHM0nFM+T6k66VK3JOldyE+KSlIjDLokNeKsDnqSFUkeTfKdJIeTXDnumZaaJL+b5FCS55M8kuR9455p3JLcn+TVJM/PeuynkjyR5Lvd158c54zjNsc5+pPu79rBJH+dZMUYRxy7fudo1r7fS1JJVi7kmGd10IE/B/6uqn4BuBQ4POZ5lpQkq4DfASar6hJmfim+ZbxTLQkPAJt6Hrsd+FZVrQe+1W2fzR7g5HP0BHBJVf0i8M/AH57poZaYBzj5HJFkDXA18P2FHvCsDXqSnwB+GbgPoKrerqofjXWopWkZ8P4ky4Bz8fMFVNWTwOs9D28GHuzuPwj82pmcaanpd46q6ptVdaLb3M3M51XOWnP8HAH8GfD79Plw5iBnbdCBnwWmgb9M8k9J/iLJB8Y91FJSVT8A/pSZVwpHmfl8wTfHO9WS9dPvfPai+/qhMc+z1P0m8Pi4h1hqknwS+EFVHTiV7z+bg74M2ADcW1WXAf+B/0z+f7rrwJuBi4CfAT6Q5DfGO5Xe7ZJ8ATgBPDzuWZaSJOcCXwDuONVjnM1BnwKmquqZbvtRZgKv//Nx4F+qarqq/gv4GvBLY55pqfr3d/6H0e7rq2OeZ0lKchNwHfDr5Ydgev0cMy+eDiR5iZlLUvuSnD/sAc7aoFfVvwEvJ/lw99CvAi+McaSl6PvAFUnOTRJmzpG/OO5vJ3BTd/8m4G/GOMuSlGQT8AfAJ6vqzXHPs9RU1XNV9aGqWldV65h50bmha9VQztqgd34beDjJQeCjwB+Pd5ylpfvXy6PAPuA5Zn5ezvqPbyd5BPgH4MNJppL8FnAncHWS7zLzDoU7xznjuM1xjrYB5wFPJNmfZPtYhxyzOc7R6R3Tf/VIUhvO9lfoktQMgy5JjTDoktQIgy5JjTDoktQIgy5JjTDoktSI/wENM3NaGP4sKgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.hist(scattered_pT)\n",
    "plt.hist(photon_pT)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([3., 1., 1., 0., 0., 3., 0., 1., 0., 1.]),\n",
       " array([ 5.49119279,  6.32364635,  7.15609991,  7.98855347,  8.82100704,\n",
       "         9.6534606 , 10.48591416, 11.31836772, 12.15082128, 12.98327485,\n",
       "        13.81572841]),\n",
       " <BarContainer object of 10 artists>)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(scattered_pT)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5\n"
     ]
    }
   ],
   "source": [
    "# check struck quark index in pythia event\n",
    "counter = 0\n",
    "for particle in pythia.event:\n",
    "    if (particle.status() == -23 and particle.id() != 11):\n",
    "        print(counter)\n",
    "    counter += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "electron_in = pythia.event[4].p() # 4 vector\n",
    "electron_out = pythia.event[6].p()\n",
    "photon = electron_in - electron_out\n",
    "quark = pythia.event[5].p()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-141.24467286496974"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "photon.m2Calc() # check Q2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "radii = [0, 100, 200, 300, 400, 500, 600]\n",
    "r_labels = ['$0$','$100$','$200$','$300$','$400$','$500$','$600$']\n",
    "angles = [0, 2.09858297, 5.70047087, 15.4146268, 40.3950626, 90, 139.604937421, 164.585373193, 174.299529125, 177.90141703, 180]\n",
    "eta_labels=['','','3','2','1','0','-1','-2','-3','','']\n",
    "nr = 600\n",
    "ntheta = 90"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "470.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,10))\n",
    "plt.rcParams['font.size'] = '15'\n",
    "\n",
    "ax1 = fig.add_subplot(111, polar=True)\n",
    "\n",
    "r_edges = np.linspace(0, nr, 30)\n",
    "theta_edges = np.linspace(0, np.pi, ntheta + 1)\n",
    "H_e = plt.hist2d([Event_Particles.iloc[0]['momentum']], [Event_Particles.iloc[0]['theta']], [r_edges, theta_edges])[0]\n",
    "ax1.cla()\n",
    "\n",
    "Theta, R = np.meshgrid(theta_edges, r_edges)\n",
    "im_e = ax1.pcolormesh(Theta, R, H_e, cmap='Blues')\n",
    "ax1.set_thetagrids(angles, labels=eta_labels, fontsize=15)\n",
    "ax1.set_xlabel('p [GeV]')\n",
    "ax1.xaxis.set_label_coords(0.8, 0.2)\n",
    "ax1.grid(color='grey')\n",
    "im_e.set_clim(0,1)\n",
    "ax1.set_thetamax(180)\n",
    "fig.suptitle('Scattered electron', y=0.75)\n",
    "print(Event_Particles.iloc[0]['momentum'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0.75, 'Other final state particles')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,10))\n",
    "plt.rcParams['font.size'] = '15'\n",
    "\n",
    "ax1 = fig.add_subplot(111, polar=True)\n",
    "\n",
    "#r_edges = np.linspace(0, nr, 30)\n",
    "r_edges = np.linspace(0, 100, 20)\n",
    "theta_edges = np.linspace(0, np.pi, ntheta + 1)\n",
    "H_e = plt.hist2d([Event_Particles.iloc[0]['momentum']], [Event_Particles.iloc[0]['theta']], [r_edges, theta_edges])[0]\n",
    "H = plt.hist2d(Event_Particles.iloc[1:]['momentum'], Event_Particles.iloc[1:]['theta'], [r_edges, theta_edges])[0]\n",
    "ax1.cla()\n",
    "\n",
    "Theta, R = np.meshgrid(theta_edges, r_edges)\n",
    "im = ax1.pcolormesh(Theta, R, H, cmap='Reds')\n",
    "ax1.set_thetagrids(angles, labels=eta_labels, fontsize=15)\n",
    "ax1.set_xlabel('p [GeV]')\n",
    "ax1.xaxis.set_label_coords(0.8, 0.2)\n",
    "ax1.grid(color='grey')\n",
    "im_e.set_clim(0,1)\n",
    "cbar = fig.colorbar(im, shrink=0.7, pad=0.01, cax=plt.axes([0.95, 0.35, 0.03, 0.3]))\n",
    "cbar.ax.tick_params(labelsize=15)\n",
    "im.set_clim(0,2)\n",
    "ax1.set_thetamax(180)\n",
    "fig.suptitle('Other final state particles', y=0.75)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   -11.347     1.878   -31.776    31.635 (  -11.885)\n",
      "\n",
      "33.79380419876932 2.7943055212785133\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,10))\n",
    "plt.rcParams['font.size'] = '15'\n",
    "\n",
    "ax1 = fig.add_subplot(111, polar=True)\n",
    "\n",
    "r_edges = np.linspace(0, 100, 20)\n",
    "theta_edges = np.linspace(0, np.pi, ntheta + 1)\n",
    "H_e = plt.hist2d([photon.pAbs()], [photon.theta()], [r_edges, theta_edges])[0]\n",
    "ax1.cla()\n",
    "\n",
    "Theta, R = np.meshgrid(theta_edges, r_edges)\n",
    "im_e = ax1.pcolormesh(Theta, R, H_e, cmap='Greens')\n",
    "ax1.set_thetagrids(angles, labels=eta_labels, fontsize=15)\n",
    "ax1.set_xlabel('p [GeV]')\n",
    "ax1.xaxis.set_label_coords(0.8, 0.2)\n",
    "ax1.grid(color='grey')\n",
    "im_e.set_clim(0,1)\n",
    "ax1.set_thetamax(180)\n",
    "fig.suptitle('Virtual photon', y=0.75)\n",
    "\n",
    "print(photon)\n",
    "print(photon.pAbs(),photon.theta())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   -11.347     1.878   -30.645    32.767 (    1.500)\n",
      "\n",
      "32.732390480958344 2.7825430197745806\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,10))\n",
    "plt.rcParams['font.size'] = '15'\n",
    "\n",
    "ax1 = fig.add_subplot(111, polar=True)\n",
    "\n",
    "r_edges = np.linspace(0, 100, 20)\n",
    "theta_edges = np.linspace(0, np.pi, ntheta + 1)\n",
    "H_e = plt.hist2d([quark.pAbs()], [quark.theta()], [r_edges, theta_edges])[0]\n",
    "ax1.cla()\n",
    "\n",
    "Theta, R = np.meshgrid(theta_edges, r_edges)\n",
    "im_e = ax1.pcolormesh(Theta, R, H_e, cmap='Purples')\n",
    "ax1.set_thetagrids(angles, labels=eta_labels, fontsize=15)\n",
    "ax1.set_xlabel('p [GeV]')\n",
    "ax1.xaxis.set_label_coords(0.8, 0.2)\n",
    "ax1.grid(color='grey')\n",
    "im_e.set_clim(0,1)\n",
    "ax1.set_thetamax(180)\n",
    "fig.suptitle('Struck quark', y=0.75)\n",
    "\n",
    "print(quark)\n",
    "print(quark.pAbs(),quark.theta())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "from mpl_toolkits import mplot3d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, '$p_T$ [GeV]')"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Ih06nw+Fw8NFHH40Iw8bKRNaNBHYAU1K9laY9StZrcJ+NybJsSWZquslkIj8/nzPOOIN169ZF89bP44+S/DUOh/Ee8Jnhn0vwR12+JoT4X+B/gPellObxCAdMgHjEM8U8FJEmfSVCPBwOB+3t7dTU1EQUhg0kXA/TZCwNAlO9AwdpK302lNJ45W+Y6iS7riXGLmJXAIeBf0Xw2v8WQhQCXfjF5rtSSjVKIqV0Ak1AkxDiJfwWzWrgXGAd8LEQ4u/4lz77pJSuaA8WEiwe8RrtGI5oalPiKR5KGNZisTBnzpyohSOVEeLoQdpKaXxXV5caISssLIwpB2IiSLZ4RNsISAiRCVwEPDmGNeAEfgW8Bgzgz8u4C5gDrAnappB+OoHNwGYhxGLgc/hF5B7gCPCaEOK/pZStER/wMAkRj/GMdoyERE6hH4vAMGx5eXlcB0enYol/4Oxbk8mE2+3GZDKpORBK1muoCXPJIhXEI0rL4yIgmzGWLMOZn98MeOgtIUQn8LgQYpGUcnvAa6Xw/zEMw7+7pZTbgG1CiD8CtwLfAE7Fn77+UyGEPtC5OhZxF4/x9t0I3E6o9yazIXFwGLa5uTmuF3sqikcgUkoMBoPa5Dgw6/XAgQPY7XZycnJUMUlWZekkFI8r8C8fPo5hdxuAx/E7SLeD3+oAv4DgTz1XksBOxr+EWQSU47c8duFPDoMQ881GI67iEY++G4A63S34/clsSBwqDCuEiLsfZTIRKus1sJWgz+eLa81IpKSCeEQaqu/v7we/P+KhGHcnA/8NjKAIIWrxL1NOBmrxO2TN+AVjM/CalHKHuqEoQ7hxEw8lDAuxRUwCUXI9lO3Eq4Q+FkYLw45nhGUoJoPlMdrfNriVoFIzonT/MhqNqlUSSZp3rKSCeERqebzwwgsA6cQeZbls+N9PQF2ufBv4ElCB3/LYC7wCfIw/0nJAefN48j7iJh7x9GsouR5GozGpy5RQ1bCBJOJiT3XxiOb7D64ZcTgcmM1mNc07OztbLVCLZ4+NZIuH3W6PuJ/HM888A1AnpdwV/JwQYh/wtpTya8O/rwdy8EdJBoAzgG8Dz0sp6wPeejLQDTwJ7AT2D2eQBm5bJ6X0jSdhLK7LlnhFNBTLI5nLlEiqYUN1JxsPqeBsTCQZGRlMmzZNzXpVhmgH9tiItVt6IMkWDyllREu0np4e3njjDYBnwrzEAARuqAl/dul1gAk4BDwM/CjofbcBNimlOfBBIUQJUAIcklIOjXmAY5D0qtpQ6HQ69u3bh8fjifsyZay7ZzTVsPG2PCbDsiWeBXaBQ7SDu6XrdDrVKol2VKXX650w/0owMkRv2nAUFxcrN5+fhNlWZdDvzxBeaAJf1wafWhdCiNXAl/EvY9KBO4B3hBDn4c8VqYvFAkk58bDb7fT29jJlyhRqa2vjejceq2o12mrYVL/Y400iP2twjw2Xy6U6XgcGBtRKVqUR0ljHmWwrLgX2L4aF4wvAY8B+/FGVOwDFlL4QmIU/2hO1JRJX8RjvF6YsUwoLC5kyZUrc/wDKsiqUKAwNDVFfX09lZSXTpk2LanuxoNTEBB5LqovRRF6UaWlpI7JebTYbZrN5RNarkn8S3Agp2TNbUoGAZLP1+LNWvymltAghrudTodgI/DHWfaSE5REcTTl48GDcenoEotfrQ17ssVbDxnqxu91u6urqcDgcGI1GioqK1O7pqXLyhSMZd9TASlYl6zWwERKgCkleXl5Sp7W5XK5xN36KMycBtw8LRxqQwacNf5z4fSCOWDacdPEIFU2JZ0OgQIIthfFWw8YiHoqFM3v2bAoKCnC5XPT29tLS0oLZbMbn8zFlyhQKCwsnpLVgNKTCcgCOboSkDIRSLFev10t+fj45OTkTnvWqNAtKBYb7eHTjTwp7G3/YVsenDX9OAvojqOINSVKXLeGiKYkUD2W7Y4VhI91eNMuWzs5O9u/fT01NDVlZWbjdbtLT09UIxM6dOykoKMBms9HW1gb476hFRUXk5uYm/cJNVasoeCBUU1MTOp1OzXoNDAknOkcoBbqIBSKB3wA/FEIcwp/v4QFMQogV+FPUY67iTYrlMVbSV6Itj2ibEocjUstDSsn+/fvp6+tj+fLlGI1GfD7fUXdypSitrKyMWbNm4Xa71e7pTU1Naql8UVFRwmePhCPZAhYJer2e4uJiCgoKRjRCamhowOv1juj1Gu+oTAp0TlcZdpg+CVTjd5r24b/mH8WfbWrB34AoJiZcPCJJ+tLr9XHNn1AQQqhd1OPVlHgs8fB4PNTX15OVlcXSpUuPEovRtmc0GkfUkVit1hF5EcpFkJ+fPyEOwlRZtoxFYCZscCOk4E7pBoNBtUrikfWaAp3TRyCl7BZC3IC/FL8Gf6+PXPzO0l8Pl+/HxIQuWyJN+kqE5eHxeDCbzeTm5kbVlHg0xlq2WK1W6urqQvYzjbafR2CpfEVFBV6vF4vFQk9PD/v27SM9PV21ShI10yVVly3BBJY2BBOc9ep0Oo/KelVEOZabSwp0TgdUf4dRSumQUg4AvxvuASKllJbh14we8x6DCbE8oq1NGU8rwlAoTsqsrCwqKiridpce7WLv7u5mz5491NTUkJubG5f9BaKY5spFEDzTRcnWjPfYyslgeUQTqk1PT6esrIyysrIR1l1TUxNutzvqrNdU8HkIIdYBNwL/DuwZfmwh8CdgUAjhxR9peZ0wCWqRkHDxiKU2JZ6WR2AYtr29Pa5VsKEK46SUNDc309vbG3V27HjyPAJntQY28FHGVipWyXhM88mybIk1zyOUdadMllOyXsca/xljF7G4Ifwd1v8dsEgp9wQUvs0C5uPPUDUC84BrhRBvSik/jGVfCRWPWGtT4jV+ITgM29nZGVfxCC7J93g8NDQ0kJ6eztKlS2M6geOxNAhs4AOo4WDFNFd6bkxE9CEZxCtJLFTWa+D4T5PJpIqJslSMZNny1FNP8dWvfjXwIeWPfoOU8olw7xNC5OF3dq7FH3J9GbhFStkb8LIaoAz4vvIx8DdEnoK/QO7K4W2l47dE1gIfxlJdmxCfx3hL6McrHg6Hg/r6ekpKSkaEYePdxzTQUrDZbNTV1VFRUcH06dNj3l4iSEtLG2GaB0YffD6feoGM1VbwWLc8xmKs8Z8tLS3U19ezZMmSiLb35ptvYjKZAkcvHBj1DfAsfovhOvyC8CDwInB6wGuUMvydw78rJ7wF+GjYz+HALyoDwMzh56P+w8bd8ohHCX24TNBIUMKwVVVVandwhXiLh7Js6e3tpampiQULFpCXlxfz9iYiPT1U9MFsNqttBU0mk7rECXYYHu/iEUioRkg6nY4NGzbw+OOP8+c//5n//M//ZNmyZWG3sXz5crKzs5Gjj1FQ9rcSOA84U0r5f8OPHQY+EEKcI6V8ffilmQSMjAxoK/gmsFUON0oWQrjxtz5Uoi3JFQ+32822bds46aSTxlVCH4vDNJJq2ER0ULdarezfv59ly5YlLfdiPAS3FVRqSBSHYeBwqMmC0nB7ItHpdCxbtox58+Zx6623snLlynjnkKwGOhXhAJBSfiiEaB5+ThGPPvxWRSVQN5yS7pZS9gA9QgjDcEZp8fCPMpku6rtWXMUjLS2NU045ZdyqbzAYohKPQF/DaGHYeEZxvF4vu3btwuPxcNppp8XlTpfswrjgGpLg4VAulwshBAaDIWWaHYcjWYVxSuf0SCzQOXPm0Nvbi9fr3Q38XEr5m1FeXoW/n0cwu4afU/gncBNwA3C9DBqrEJCKfiVQxKejHpIrHuBfcoz3AoimN2g01bDxat5jt9upq6ujrKwMl8sV1xM1lXIpgodDNTQ0YDAY1LTv3Nxc1V+SrEK0VCOSDNOysjLuu+8+VqxYgdfr5fzzz/8AeEIIkSmlfCTM2wrwWxXBWIDZoJbh7xNC/Bfw/4QQU4A/4A/XDuK/3gvx9zW9Hb/D9HWIvn8ppEBhXCgivaNFWw0bj2WL4lOprq4mNzeX9vb2sd8UIal8Jwf/91dSUsLs2bNHVLYeOnRIjfAUFRVF3bznWMJms415Lp533nmcd9556u9SyquHox/fE0L8YpQLOdSdRSiPB5Th/xqw4q9deQq/6PQPvzYffxeyPwM/klJ6h0Un+ZbHRBBrNex4HLFSSlpbW2lvb1d9Kkp9SrxI9rIlEgIjV0pl6+zZs9XmPcrIykT1J011xpFhugF/CnkloaMuFvzl88HkE2CRDAuBB/i9EOJ9YDn+CE0xfvHoAF6RUm4JeH1MJ13cxSPRF0C4MGwkxGp5+Hw+du7ciZRyhE9lMlzs8WS0aEtw856hoSF6e3tpbGzE5/ONKEZLxSlz8SKasQthCHdCNTEyJKtQhT9c639zwAkppdzJpyHbESiiEatwwCSzPEYLw0ZCLA5TpXR/6tSpVFRUjFrYNl5SXYwiPbbA/qRKONhisahJg8qUOaUO51jC4XDE+pkuBXqAg2Ge/wfwfSHEZ6SU7wAIIZbh93f8Q3mREOJs/JbLIfyJZDr8giSH/w/gBXyKgAghMgBXUpPE4o1yp4umKfFohLM82vsdPPmvFsw2F+dUlXBhzVSEEFgsFnbu3Dnu0v1jiVgE02AwqP02ApOrlJaCSji4oKBg3OHNVBDfsSyrSy+9lBUrVlBbW4vX6+Wiiy56Gvgi/mxRHxw9dkFKuUUI8SrwRyHEnXyaJPZOQI4HwCPA96WULXyaIDYW38YvQFFNrEtZ8QjMMo0kDBsJocSjd8jFut9+SL/dg5SSd/b10jXo4ryZetra2liyZMmE3R0ng+UxXmsrVHKVEg5ubm7GYDCobRmzsrKi3l+y+5dG8vebN28ev//972ltbVVeXw1cLaV8OuBlwWMXwN+o+BHg9wSkpwe9Zgb+mpW5+DNJHfhn0doDfpTH3UAb8D381kpyxSNeprxer2dgYICmpqaomhKPRijxeHVnF0NOL3qdAAQer+SJt/ez7IIili9fPqEt/CeDeMSbwBEL4C+RV9oyWq3WEeHgSNoyJntmC4x9DTzwwAM88MADgQ8tDX6NDBq7MPxYH/DV4Z9w7Mdf3zIPv8Ao0Rjlx4d/2aL82PEXyvWMetAhSFnLw+12s3PnThYuXDheB5RKKPHwBnT0ksMdzaVOF/exD8E4nU5aWlrIy8sjPz9fFalUFg9IfDg5sC2jlFINB0faljHZlkcKcCn+qXKZ+EOymUDW8L+ZAb+bAl7TTHhfS1hSTjyUMKzT6WTRokVxEw4ILR6r5pXw2FsHsLm8SClJ0+u4bGl5Qi+S/v5+GhoamDZtGmazmf3795Oeno5Op0tI7494MdG1LUKIEbNv3W43ZrN51LaMyRQPh8OR9ObHUspDE7WvlFq2BIZhi4qKEja3JZAZBSYePn8Gv3z7EF5DBp+rnsI3Tp8V1/0G0tHRwYEDB1i0aBEGg0H9jDabjf3799PR0UFXVxf5+fkUFRVNWIvBSEh2YZzRaBxR1RqqLWMy0+ZTpXO6GPkFBH8Zyu8jzKRJnWEaHIbdtWtX3FsRhhu9kOtz8swNpyc0xVppgtzf38/y5csxGAy4XJ+WHWRmZqom+ZQpU7BYLHR3d7Nv3z5MJpOaJn48JVyNRri2jB0dHZjNZurq6hLeljGYVOgiBiNzPYihZiVSki4e4cKwiehjGigeLpeLuro6ioqKYh69ECler5cdO3aQnp7OkiVLwo69VB4PbDGoVLr29vaqd1jlohir/0a8SbblMRrKd2Y0GjEajVRUVNDb25vwtoyBpFrz40BiafYzFkldtijVsGlpaUeFYRMhHsqxDQwMsGPHDk488UR11keicDgcbN++nfLycsrLy9XHfT4fHo9HvSDDiUBgpWtFRYWacNXR0cHu3bvJyspSrZJEdwVLZfFQUHweJpNJ/c4T1ZYxGKWiNhWJt3BAEi2Psaphx1OHMhput5uGhgYWLVoUlz90OCsCPnWMBiaZKREdZSSiUh/j9XrVCl2v1xtWUIITrqxWK729vSO6gqXKkKhkEMphGtyWMbhjerzaMqbKsiUYIUQZcE5QHsm4SYp4KE7D0aph491BXUrJnj17cLvdnHbaaXEzXZX2AcH5IB0dHTQ3N7N48WLViRYoHIo4KO87fPgwZrOZ6upqVTQ9Hg86nU79CbVvZd0/c+bMo4ZEZWdnq1ZJPEZXTibLYzSCO6YPDg6OEODAcHA0y8JUGvgEI4reTsDfFPnp4epd13hqWhQmdNkSWA2rTE4LRzwHP7ndburr68nNzcVkMsV9FEHg3yGUY1R53Ov1qheg8j1JKdm3bx82m42lS5eqYuLz+fB6veq/ipDqdLqwVknwkKihoSF6enqor68HoLCwkOLi4phN9RTJYxiVaEO1gW0ZA6f0RdKWMZhUE48AMoAWADmOIU/BTJjlEW01rF6vx+GIaXj3CAYHB9mxYwdz5sxhypQpdHd3j3ubgQQ6YRXHaEZGhuoYhfDC4fV6aWhoIDMz86iktEBrI3BpE7iv0YQksDht1qxZasm8Yqrn5uaqaeDRiOmxYHmMRrAAj9aWMdjaTEGfh5JdmgN8XghxF3AE/8zaNqAruNNYNEyIeMRSDRsPh6kyWLq2tjZhdwTF8gjnGJVS4vF4jrrIFTEtLy+PqAMajPQDKUKiWCbK84HiFEhwyfzAwIA6jkGn06nLm9HqSY6VZUukjNWW0Wg0qlZJZmYmVqt1zPP7ueee4+mnn+aTTz6hv7+fefPmsXXr1i9JKcMOnBb+WSzNIZ56Vkp5RQQfJQt/M6DZ+Mv6B/GnozcLIfYCH0kpOyLYzggSKh7jqYYdj3goS4GBgYGQy6N4XgRCCPr7+9m7d29Yx2jwBT0wMEBjYyNVVVVRN4pWLoxAqyR4aaM8P5pVomRuKo18AutJ8vLyKCoqOiqsOVmWLYkKxQa3ZXQ4HPT29nLgwAGef/55PvjgA0455RT6+/vD9jD9+c9/zqxZs3jkkUcoLi7mlVdeYevWrX8RQhRLKf9zjEO4E3g34Pex6lGUk24q8IyU8ntCiBL8PUCW4K+p+Q7wO+DugObIESHGOCFiOlucTueIMGxVVVXUd4P+/n7a2tqYP39+VO8LHCx94oknHiUS77//PitWrIjb3WnLli34fL5RHaOBx9DV1cWBAweora2NezaisrwJtEYAVUQi+cxKe8He3l7MZrNa5VpUVERDQwMnn3xyXI853hw8eJCMjAymTJkyoft1Op3cdttt+Hw+mpubeeyxx1i69Kh6N3p6etQRoQpCiL8CK6WUIVObAyyPi6SUL0dyPIEdwoQQ5wLZUsrno/pQY5AQiVYGPI+nGjYWy2O0wdIKio9ivOKhWDcOh4MlS5aMKRxSSg4ePIjZbGbp0qVxiX4EE7i8MRqNqogo/hLl/8ryJtR3ENhecM6cOTgcDtVMt9vt7N69W7VKJrLiOFKSVduSnp5Oeno61157LaeddlrY1wULxzDbgDXxOpaAJj9FwGfwWxj9QohFQN3wc2rFbaw5IHEXDyklu3fvjrgpcTiiDdVGOlha2e54TFvFMaqMGwysiA3lGPX5fOzatQshBIsWLZqwkzsSp+tYVklGRoZa5frBBx9QUlJCb28vzc3NpKWlqVZJqnQES2Zh3DiiLacSpl1gEP8t/JPuu4C/At+Vw0OcFAKEYwHwAHAy0I5fKK4B3hZC/EpKuSuWAw0kIaHapUuXjnt9HKnlIaXkwIEDmM3miEZbjreDerBjdMeOHWoTGI/Ho+5DQQkTl5SUMGPGjKQ5HAOtEiAmq0QIMaL3ht1up7e3V+0IpuRHJLOYL5niEUnn9GDeeOMN8Fsd147yMifwK+A1/CMiVwF3AXM42mLR4e/TcR1+v8aDwAf4mycvBi4HlgkhvimljKr5TzAJWbbEo6lNJOKh+FUyMjIiHiw9HvHo6+ujsbFxxOBuIQQej0eNqASKg9VqVcPEiU6Dj5axrJKxEtSAESngSiSip6eHffv2kZGRoVolsbaNjIVkWx7RhGpbWlq48sorAf4upXwq3OuklO3ANwMeeksI0Qk8LoRYJKXcHvCccgLWAs9LKX8e8NyLQoifA5vx90O9TkoZc+5C0gvjwjFWeroyWHrmzJlR+VViFY/29nZaWlqOcowKIejo6GD69OkjThylR+f8+fPj2pMkEYSzSkJFccJdnMGRCKWYT8mPUKySRHdPT6Z4KKnukWA2m1m9ejUVFRV0dXV9OYbdbQAex29dbA94XDm5dwF6IUS6lNI5nFkqpJT9Qoib8LcwrMa/jDm25raMZr309PSwe/fumAZLRyseimN0cHDwqIxRn8/HrFmz6O7uZu/evTgcDgoLC5FS0t/fz+LFiydlCX2wVeLz+ejp6UGn043IWRmtoE/pU6rkRwR2T09ki4FkiofT6Yzo89hsNi688EJcLhebN2+mtLTUGsPuZNC/wY+/CXwfuBr4bVBmaT/+IdfKhSCIIbKasGVLIlDyRrq7u2MeLB2NeHg8Hnbs2EFmZiaLFy8OmTGalpammu4ej4fGxkYGBwfR6XTs3r1bbWyU6IrXRKHT6ejs7KStrY2FCxeqURzlRxETvV4f9qIdrcWA1+uloKCA4uLiuBTzJVM8RhNTBY/Hw+WXX87evXt59913KS0tjXV3lw3/+0nwYeAXghvwL11+IYT4DP4ZtvvwT5K7GniJYYslZaItiUJJ5TYajSxbtizmEyRS8VAcozNmzGD69Onq4+Eco4r/JScnh9raWsBvxnZ3d1NXVwf4w3QlJSUxdQVPFi0tLVgsFpYsWaIuawKXN4FLm0jqb0K1GAhsLagU88Va4Zos8VCc5mNx44038sorr/CLX/wCs9nM+++/z8qVK08Zfnrb8BJjxNgFIcR6/Cnm7+J3mJ6Bf1zC81LK+qDjUE7uh/EvTRYCy/BHdHz4u6tnALcBM4QQPUB/LDUvk0I8lMHS06dPZ8aMGePaViTiEcoxCp+mhAc7RpVU8xkzZozIL1FqS5Qszp6eHvbv34/NZqOgoICSkhIKCgpSps1gIFJK9u7di8vlYuHChWFzQnQ63YjWAoEJaqOFglstdnYcHsTj83FiaRbzqqoQoE6aa2hoQEqppn9HOv822d3TxzrG1157DYBbb7018OEtw//Owl/AFjx2oQl/dul1+BsWH8IvDj8Ktx8p5avAq0KILKAcf1Zp7fC/5fgzS2/Ab43sF0LcLaWMqpgs5cVDcboFX8ixMpZ4HDlyhIMHD46Y1zJaxmh/f786GCo/Pz/sdtPS0tR8CZ/Ph8Vioaenhz179pCZmama9angI1HGa6anpzN//vyILtpoEtR6rW7e2WcmP9NIhlHP1tZ+9HodJ5RkjZg0pzQ8Vubf5uTkqFZJuCS7ZIlHpPttaWkJ9fCIL1gGjV2QUj4DPBPN8Sidw6SUVmD38M/fh5/LBU7Cnzy2ArgEuCea7UMK+zyklLjdbvbu3TuuKXHBhIviKHfaoaGhkI7RUMLR2dlJS0sLixYtiipJKrAQTWno09PTw44dO/D5fOryJp5drsbC5vLSeGSAQbuLoa6D1M4spbKyMubtjRYKPtJnRy8kaXoQAvJNaRwy2zmhZGSYM7jhsdJ3o62tTc05Ce4GlizxsNvtKZMoB0f7MYT/C1IySgfw5358gD9iExMpaXl4vV527typ1ozE826sNO8JJBLHaHCqeaAvYDyp5oENfZS7bU9PDy0tLQwNDZGXl0dJSQmFhYUJSwd3eXy80tCJ2eqgp6OdtKxcZhrGb+UpBIeCs01ufNIfYPD5fNicbrLT0kftoBbcdyNci4FkVf4ODQ2lWjn+CIZDsXGtbEw58VAGS5eVleF0OuNeyRm8bLHb7Wzfvp2KioqIHKOKSW8wGBKSam40GtUuV0rvze7ubnW2S0lJCcXFxXFNvOocdNLdb8PZ18Gc8qlkZGaxrbWf2umJaWVYWZzJgV4bvTb38KwcAzXTc0ckqI2W6QojWwz4fD4GBwfp6enBZrOxbds21bKbqFEMKdwIKGGk1LIleLC02WyOexPkwA5l0TpGXS4X9fX1TJkyZdyO20gI7r1ps9no6emhsbERr9dLYWEhJSUl4w5xWoesHGk/Qu3cGWRmZuLxxr93bCDpBj2frSqha8CJT0JRtpGsNP+pGJigFtyrBEIPkdbpdGqLAaWVo1Iqb7fbR7QYSJT1polHEmltbeXw4cMjHJWJGr8gpYzaMTo0NERDQwNz584NVxmZcDIzM6moqFBDnL29vbS2tjI4OEhubq66vImm6M9sNtPdupeqWTMY9Ohw2dwMOj2snFWQ0Dt2ml5HecHRPoJQCWqBztdIEtQCR1Yq1ptSzGc0GkdYJfHCarWmxMCniSTp4qFUnHq93qMGSydq/EJXVxdGozGkYzSwvZ9Cb28ve/fuZcGCBSlzdzEYDCOcif39/fT09KgXiOJ0Hc2J19nZycGDB1mxdAlLhYHGIwMMubyU52cwtyT56/dQTtdgQRmrKjjYelMa+CjtFAIn843HKknVzumJJKnLFqfTSV1dHaWlpcycOfOo98V7/ILH41FDZeEco8HC0draSmdnJ0uWLEnZLFEhhNqDY+7cudjtdnp6eti1axcul4uioiKKi4vJz89XP1traytdXV0sWbJEFdDllfFzksabSOtvFIEZrcXA9OnTmT59Oj6fj76+Pnp7e1WfUqwtBmw2myYeE4Uy02S0vqbxHL+gOEaV2pNIIirKqIbFixenZOObcJhMJmbMmKHWlfT29tLe3q5mcCrf6eLFi1MyQS0SQlklLS0tZGVlqWISiVUS2GJAaXa8Z88eXC5XVPOCUz3akgiSIh6HDx/m0KFDIypUQxGvZYviiJ0/fz5SStrb24GRjtHgVPMdO3aQl5cXspXhZEKv16vdwJUmRk6nEyEE27ZtU5PTJvOJr9PpOHDgAFarlQULFgCMSFBTomZjRXCUYj6lxUA084I1h2mcCHexKXNbnE7nCH9DOOIhHopQKY7R/v7+ESZvoLXR0mvjP/+5j+YOC8srC7h9wdFLqcmKIhx5eXlUVlYihMDhcNDT06NWBCsp88ls5hMtcnhOjsPhoKamRv17jbdXSbTzgq1W65h9U3fu3MnNN9/Mli1byM/P57rrruPee+8d06oVQuQBjwJr8Tf7eRm4RUrZG/EXlQAmzPKIZbD0eDuo79mzB5vNNkKohBC43e6jHKMWm4vb/lbPgNVOTqaJt5utuF/bxw8umBfT/lMJt9ut5s4E5rJkZGSMaOZjsVjo7OxUZ+AqF0+yfD1SSvrsbnwS8k1G9Dpx1PN79+7F4/GETaOP1FcSbTFf4LzgxsZGdu7cSUVFRdjPYrFYOOecc6iurubvf/87+/fv51vf+hY+n4/7779/rK/iWWAe/toWH/7uYC/iH6OQNBLSPR38YqFsO9bB0u3t7TgcDmbNCtlUOixKB/Xs7GxOOOGEEX4Mp9NJY2Oj2ntDudNu+mg/v/xXG8W5WWo4t9/hYdMNKzDqJ8ddOBRK0t3s2bMj/u5lwLS5nh5/d/+Jrgj2+iQv1XdQf3gAIaCiMJN1S6dhMn7aL3b37t0AzJs3L6ZjCmWVwOhCEoyUksbGRn74wx/S0dGByWTi6aefZu7cuSNe9+Mf/5iHHnqIgwcPqj12H3roIdavX4/dbs8bThk/CiHESuA94Ewp5f8NP7YCf2r556SUr0f9weNEwi2P9vZ2mpubYxosHYvloThGgzuMKSeJXq9n4cKF+Hw+zGYz7e3t1NfX09UHeoNBLVHy+iQ6IY66200mhoaG2LFjx5hFe8GIENPmgiuCi4uLycnL5+ND/fQMuSgvMLF4Rh66OAlLXVs/29v6KS8wIYSg1WzjX3t7ObfaP8lt165dGAyGETeHaJBSsrfbRr/dTWlOOpVFmTElqAkhWLBgAWVlZdx7771UV1eHjNT84x//4LzzzhvRnPuKK67grrvuAjgTf3+NUKwGOhXhGD72D4UQzcPPHXviodwZrFYrK1asiKlbebTiEegYDbxYAu8sgWZsYWEhHR0dTJkyhZPml/Juz26azUPodAKD3sA1p8yI28Uw0fT19bFr1y5qamrG7cgLVRHc1d3N42/s4rBNR36WCalP40ifg4tqp8bl+LuHXGSk6VVhyDEZOdLvQEqpVvzOmTMnZuHYuK2dd/ebEcJvXl+6uIzPzCkKm6AGo4/4VBym4TrbNTU1cfbZZ494rKKigszMTGw2WxXhxaMKf0l+MLuGn0saCROPuro6srKyRuRTREs0odpgxyiMnjHqdDqpr6+nrKxMHQ/566tX8D+NXRw2D1Fu8jBd38VHH3VNuiY+3d3dHDhwgMWLF8e9+bBSEew0ZOHcLakq1GG32Riy9vHyR2ZmpQ1SMW1KxP03wlGak47D5VND6AN2NydNyaKhoYGsrCxmz54d87bbB5xsabYwLT8DnRC4vD421XWwfGY+6YZPrYxQCWrhepWM1TndYrGEtP4KCgqw2WyjJdgUAH2hNol/fGTSSJh4VFdXj3uwUSSWRzjHaCSp5ieccMKIHBOTUc/Fi0YOiwo02e12+wg/SSoKyeHDh2lvbx93te9YKBd1eloa6Wlp/jtun4MMk4mDBw+OqAguKCig7sgQWw5YMOgF51SVjJnBWjs9l0MWG/VtflfAzEIT+fZ2sgvzovaBBeN0+9AJVKvSqBP4JDg9PlU8AomkV0lra+uYjuVQ58uwX3As32Ko52PqOxpPEiYe6enp484OHUs8FMdoTk4OixYtGjPxC1BHA9TU1ETkgwk02b1er+onaWpqIicnh9LSUoqKipKeRKYkSSmNlxN9PKU56ZTlpXOk30F2uoEBu4f503KZO7McKB9REfw/H+/hn4clxbkm0tMzePIdG988cxYVheGzOPU6wZraMs48oRiPx8uhfbsoLioaNaIR8bHnppGZpsdsdZGbYaDH6vfZZKdHdjkEWyV//OMfAUZdHhYUFNDX13fU4/39/RDaslCw4J+5Ekz+GO9LOAkTj3jclUdLTw83emE04Th06BDd3d0xp5rr9XpKSkooKSlRJ813d3er09OU5wKTiDw+HzohovadHDLb+UdjJ3a3j2Uz8zhtdmHY71TxL/l8PmprayckR8Oo13HNKTN4c3cPnYNOllbkc+YJn1pxgTUlb3SkUV5ixSBd2Ib6sNi9/O9WN5ctr1QrgruHnLy334zLK1lWkc+sYn/yYE6ajvqmBkqKi+NWyZyVZuAbp1fy7MeH6Rx0cmJpNuuWTovJv/XXv/6VjRs3smXLllETHquqqmhqGum6aG1txWq1QmifhkIToUOyVfjDtUkj6YVxoxHO8gjnGB2tB8eePXvwer1xS8kW4tNJ83PnzsVms9Hd3a1OkMsvLOL/Dks+bB1CCMGFNaVcsGBKRKLaOeDk0Tf3IxAYDYK/fDiExytZdeLR1bw+n4+GhgYyMzNjdiDGSla6ISIHaZpegE5PblYeubl5eC02crLSaGtrY2BgAG9aFn9tcuNGj16n442mbm47ew4nlJjYvn07U6dOHZGfEg+m5WVw+2fnjGsbzz33HH/605/YvHnzmBW1q1ev5uGHH1bbKQI8++yzmEwm7Hb726O89R/4BzR9Rkr5DoAQYhl+f8c/xvUBxklKJzCEEo+2tjZ2797N0qVLVeEITEMO9oS73W62b99Oeno61dXVCbsrZ2ZmMnPmTJYtW8bChQt5/7CT1xqOIO19GDw2nvu4lQ9azBFtq7F9AJfHR1F2GrkZRgqz0vi/vUcnE3o8HrZt20ZBQQFz585NSR8MwGerSnB5fLT3OzjSZyc7w8g5tZXMnz+fU045hTZ3NgM2JwbnIHrnAD63kxe2trJt2zamTZsWd+GIBy+++CK/+93v2LRpU0TRrOuvv5709HQuueQSXn/9dZ588knWr1/PHXfcQWCOhxBinxDiv5TfpZRbgFeBPwohLhFCrAX+DLyTzBwPSPFlS2DLwEDH6LJlyyJyjNpsNnbs2EFlZeWYqcPxJC0tjXaHgemlBWSl6XE6nQz0WXntg51kWwvUWS7hwtcGnRjhCfP6JIa0kaKnVCTPnDlzQj9bLFQWZXLzWbNpODKAQSdYUpFHQaZ/2SiEwJieQXZ2NqW56Xg9Hrr7rbQd6cCRa2RoaAiLxZLwSXPRsHnzZh577DE2b94c8dCxgoIC3njjDb75zW9y0UUXkZ+fz+2338769euDXxrcOR3gCuAR4PcEpKeP60PEgZRetihC4PF4qKurIzc39yjHaDjhsFgsNDU1MX/+/BGJORNFUXYaB3pt5GQYMJkySHPC0vlTmTHDRHd3Ny0tLWH9JLXleby6s5v2fjt6nQ63V3LFsk/9OsoM3BNPPFGtCE02TR1DNPdayTcZWTozn7SgrNzp+RlMzw8dNl5akc8bTT1YbG50SMyDDq5ZOZOVC2ceVRGsCG8iI0mj8dprr/HTn/6UV155Jepu/tXV1bz55pujvia4c/rwY33AV4d/UoaEpacHVjOOh3feeQe9Xk9lZeWImSijOUaPHDlCW1sbtbW1EzpkOZCeIRcP/+8++mxuJJLygkzuPGcOmWmf3lQUP0l3dzc+n08VkqysLPrsbt7bb8bm9rKoPI8TSv2msTLqYcGCBSkzA/etPT38+aPDCMDnk1RPy+GWs2ZhiMJS2NM5xEv1Rzjc3sm5NeWct6hSdaS+trObIaeHk4qNTDPaMZvN6HQ6Nf9movqU/vOf/2T9+vXKiMh4bjo115tjkNLiYbFY+Oijjzj55JNHmIfhHKNKhaVSmp3s8KnV6WF/jw2dgBNLs0kzhL+YlHyS7u5u7HZ7yApXpaPZwoULU6bNv09Kbn52B7kZRtIM/pqgjgEnd3x2DlVTI89sdTqdbN++nblz56q5N302Nz94uYlBhwejXuDw+PjaqRWceUIxTqdT/b4moiL4X//6F9/5znfYvHkzU6fGJ4s2gEkpHinr82hra6OtrY3MzExVOEZbpni9XhobGzGZTNTW1qaE8zAr3UDt9MiWTMH5JIFVmzk5ORgMBgYGBlKuo5nXJ3F7JUa9//sWQqAT4PSMnRns8vp4b7+Zjj4rXvNhVq+oGrEM29baR5/NzbTh5Y7N5eWl+k7OPME/HEvpCBY4SDsRFcFbtmzh7rvv5uWXX06EcExaUs7noeQsOBwOli9fzgcffKBW546Vap6qnvloCe4lsWfPHrq7uzEYDDQ2Nob0k0wEVqcHs81NYaaRrOGEKqNex5IZeWxt7aMwMw2ry4spTU9l0eihS4/Px89f38+Otn5sNisZJhN5011cGODC8UkIvCnrBHhDWMrB35dSERw4I7i4uDimIVoff/wx3/rWt9i0adMxcW7Fk5QSj0DH6MKFCxHCP31dad4SSjgGBwdpbGxMKedhvJBSsm/fPtxuN6eeeqpaQ9Hd3U1DQwNer3eEnySR1tb21j7+8+0WPF6JXie46cxKllbkA/CVlTPIztDTeGSQmYUmvrR8Onmm0R2aezqtNBzuJ81rpbQ0D/QGNm5r5/PzS1VfSW15LtnpenoGXRgNAqvTy5UrykfdbriK4ObmZqxWq1oRHMkYhu3bt3PzzTfzwgsvxCWz9VgjYT4PKSUulyvi1ysZo8GO0Y8//litkwkWDmUYUqSp5pMJZbhUWlpa2LJzZbpcV1dXWD9JPLC6PNzytwYy9DpMaXrsbi8Ot49frFsQcUp3MB/s6+TBf+yickoBBqMRKSVdgy6evKp2RH3J4T4Hm+o7GHJ6WFGZzxlzi2IWSaXhcXd3NxaLhYyMDHWIVrAV19DQwHXXXceGDRs48cQTY9pfFCR/jR0DKWF5mM1mdu3axYIFC45yjObk5LB9+3a1D2dWVhZSSg4dOkRPTw9Lly5NWtguUXi9Xurr6ykoKBh1XmzwdDmz2ax2AsvJyRkznyRSLFY3Xq/EZPJf1CajHqvTS6/VFZN4DA0NMXRkP1MK8+h3SjLx0mdzs7Qi76jCtOn5GdxwRuW4jl8hsOGx0lpQyQr2+XwUFRVhs9nQ6XRcd911PPPMMxMhHJOWpIuH4hgNHmat9OCYM2cOFRUV6kR5p9MJ+FvoLVq0KOkRlXijtGssLy8fYYGNhRK6VNb9St1NS0sLRqOR0tLSmMdUFmQa0esF9mF/ht3tRa8TFGVF74wcHBykoaGBU5Yu5KSFev78QRtdg04+O6+YLy6bOJ9CYGtBZUZwb28v99xzD++99x5nn302zc3NVFdXT9gxTTYStmwB1As95IYDHKM1NTWqCIwWUVF6caanp6vT5QsLCyktLU3ZEvlosNvt1NXVxX0qnd1uV/NJvF4vxcXFqhUX6Xe2vbWP/3yrBa/P7/O4McDnESn9/f3s2rWL2tralJyu1tzczJVXXsnvfvc71Ql/4403TsSuJ+WJmxTxcLvd1NfXk5eXN6KYa7SpbTabjfr6embPnq0m6CimeldXF/39/Wr/iKKiopRJZY4U5Y5cXV0dccpzLCh+ku7ublV8A/uT/GNnFxs+OYIELl8yjdXzS9W/w5DTg9nqpjDLGPVypa+vj6amppTKUQnk0KFDfPGLX+R3v/sdy5cvn+jda+IRTGATZAWbzcb27duZPXv2iJj5aBmjyiCe+fPnh82qlFLS19dHV1cXZrOZrKws1VQf75o/0Sifb6Idv4r4dnd309fXx56hNP7U6MCUbkAATo/krvPmclaIat5oUD7fokWLkpbxOxqHDx9m3bp1PP7446xcuTIZh6CJRzDB4jGaYzRw3GMghw8f5siRI9TW1kac1yClZHBwkK6uLnp6ekhPT6e0tJSSkpKokoZ2tg+yr9tKcVYap8wuSEg/U2Ve7MKFCyc8byMQKSV3b9zBtrZ+0oR/yejy6VgyM58fX7wg5u0qc2EXLVqU1M8Xjo6ODi677DIeffRRzjjjjGQdxqQUjwm7Jbe2tnL48OGwjtHgUnolx8Fut7NkyZKoHKNCCHJzc8nNzWXu3LlYrVa6u7upq6tDp9NRUlJCaWnpqHfBzQ2d/OqtZnzDltCpswv47uoT4yogyrzYxYsXJz1iJISgIMeETm8jy2TAJ33Yh5zYB/v48MMP1TqSaBKtlEZJixcvTqmsWIWuri4uv/xyHn744WQKx6QloZaH2+3G4/GoU+IidYx6vV610W28G9w4HA66u7vp6upSk6wU56F63F4fa5/4iAyjDqPeX68x6PTw4NpqaiJMNx8NKeWI8Yip4p9p6bVx23MNWJ3+1PLMdD2PXraA8jxjWD9JuGPv6uqipaUlJYQxFD09PVx66aXcd999fP7zn0/24UxKyyOh4qH4N8I5RkMJh8PhoL6+nvLy8hHtBROB2+1WhcThcKh3V316Jpf99hPyTAb12KxOD9/5/AmsnD2+LFZl5ohOp4t5WFEiOdxn5609vUgpOWteMdPzRzo3g/0k2dnZah9XxbfU0dFBa2srixYtSknhsFgsXHLJJXzve9/joosuSvbhgCYeR7N161aKiooidowODAzQ2NhIVVVV1L0SxovX61WzNQcHB3lyJxy2Sgoy07C7feh1gt9+eSEl2bGv2xWLSkmdTjXhiJZA31Jvby9Go5G0tDRsNhtLlixJSUd1f38/l156KXfeeSeXXHJJsg9HYVKeCAlftgQ2MB5NOLq6umhubqampibpOQA+n4/9bV389M0D7OtxUZhl4LYzKzhl3vSYk9KUHJWpU6eqc2KONZqbmzly5IjaOT8WP0kiGRwc5LLLLuOb3/wmX/ziF5N9OIEk/8uJgYSKh8fjGTEkJ9QyRRkZYLFYqKmpSTkzV0pJf3+/eneNJQSszIudNWtWvJvIpAytra309PRQW1uLXq8/Kp+koKBATeZLho/HarWybt06rr32Wv7t3/5twvc/Bpp4BOPxePB4PGH9Gz6fb8T6P1Uch+FQyr3f2HGI337Yg90LS8uz+d4F1eRlH534ZHd7+emru3l3bxflRTnc9fl5akewY4mDBw9isVjCjn1QR1R2dal+EqUgbSKWNna7nXXr1nHVVVdx7bXXJnx/MaCJRzAejweXyxVSOFwuFzt27KCkpIQZM2akhFkbCS29Nr72p+1IKdELgc3loaZIcF2tSc0lUTIov/W37bx3wIIp3YhXCkxGPU9fs5iSnNTLd4iV5uZmBgYGqKmpiXiq/ODgIN3d3fT09GA0GtW2AolIIHM4HFx55ZWsXbuWb3zjG6l6nqXkQY1FQmX/7rvvZtq0aaxZs2aE01Rp4DtnzhxKSkINw0pdtrX24/FKstL9vo8cnZE9A5Kamhq6urrYtWsXHo8HY3oG7x6wkJeZrl5UTo+PusMDnFM1uT5zKJRws81mi1g4YGQOzpw5c9S6m8bGRrXuJl5+EqfTydVXX835558fd+F47rnnePrpp/nkk0/o7+9n3rx53HnnnXzpS1+K2z5SnYSKx0033cTGjRv5yle+gk6n48ILLyQ3N5f29nZuvPHGlGngGw1Z6Xp04tNZrR6fJCtNT3p6OjNmzGDGjBm0trbScvAgBp3A7nSSZjCg0+mQkqO6ik9GlAQ+l8vFggULxnVRmkwmKioqqKioUP0kgY17lFm30S5p3W431157LatWreLmm2+Ou8Xx85//nFmzZvHII49QXFzMK6+8wpVXXklPTw8333xzXPeVqiR02aJuREoOHz7MnXfeyVtvvcUJJ5zA6tWrWbNmDZWVlalqSobE4fZyw1/rae6x4ZUSg07H988/gbPnlajO376+Pmpra3nmkyP89p1DuL1epM/HlEz44dlTKC+bkjTH4XhR2iJ6vV5OOumkhP3tFD+J0rgnGj+Jx+Pha1/7GosXL+aee+5JyDH29PQcVfl85ZVXsmXLFpqbm6Pd3OS5AAKYkEC8EAKv14vJZKK5uZn+/n6ef/55br31VgYGBrjgggtYs2ZN2I5ZqUSGUc+vv1TL6009DDjcLCrPo7osR72oPB4PCxcuRKfTcdWKGcwszGRbWz8l2elcuKAUp3VAbdiTm5urVgFPhr4kUkqampoQQiRUOMDfn6SoqIiioqIRfpJDhw5hMBjC+km8Xi833HAD8+fPT5hwACFbJixevJi///3vCdlfKjIhlsdo9PT08OKLL7Jx40a6u7tViyTRJ2c8iWVebGAI2Gw2YzKZ1BBwqoWr4dPMWIPBkHSRD+5PUlRURFZWFkVFRdx2221MnTqVBx54YMKP8eKLL6atrY2PPvoo2rdOjhM9iKSLRyAWi4VNmzaxceNGWltbOffcc1m7dm1UDrmJxuPxUF9fT3FxccxNcpUQsFIFrHT+SkaH9FAo/VQzMjImfJj2WCgdwH7961/zzDPPUFxczIMPPshZZ501oSL8xhtv8LnPfY7f//73XHPNNdG+PXW+0ChIKfEIZGBggJdffpmNGzeyb98+PvvZz7J27VqWLFmSMkKizIutqKiIaJ7HgMPNU1taaetzsGJmPpcsLgtZpav01uzq6gJQ+7cmo4mOYlVlZ2cze/bsCd9/JPh8Pu6++268Xi9r167lpZde4sYbb5ywFoItLS2cfPLJnHrqqbzwwguxbEITj0RhtVp55ZVX2LhxI42NjaxatYq1a9eyYsWKpPkKlM5mkY58cLi9fOm/PuFwvwOvT2LU67h4URl3nTt31Pc5nU5VSNxu94gq4ERbAK/t7OTpd/aSnZHGzZ87ieqy1IuO+Xw+fvCDHzA0NMQTTzwx4TcWs9nMaaedRnZ2Nm+99VaszZw08ZgIHA4Hr776Khs2bGDr1q2cfvrprF27llNPPXXCCrGUAr5ohmi/vaeHe/6+S+0PIqXE64N37/zMqGMoAwketVBUVERJSQl5eXlxF5JNdUe475Xd+KQAocNk1PHfVy/mhNLUGXEhpeS+++6jo6OD//qv/5rwG4nNZuOcc86hs7OTLVu2jKf0QBOPicbpdPLGG2+wYcMGPvjgA1auXMnatWs5/fTTE7beVebFRtvE9/Wmbu59qQmlTFARj3996zQyjKOf9J0DTlotdsoLMpia648ueL1eent71Srg/Px8SktLY8qJCMbr9fKFx96h0yZJGxZkp8fLl5ZP585zRreUJgopJQ8++CD79+/nj3/844QLh8fjYc2aNXz44Ye8++674x3RMCnFI/VqpqMgPT2d888/n/PPPx+3283bb7/Nhg0buOuuu1i2bBlr1qzhrLPOipvTsaOjg0OHDsU0L3bZzHwy0vT0293+rmkIPjO3YEzheGF7O//vlT0Y9QKPV/Ld1Sdw6eJp6PV61RcSmBOxZ88ecnJy1B4b0V5UytQ+g8GITowcVD76fWbikFLy6KOP0tTUxF/+8pekLF1vvPFGXnnlFX7xi19gNpt5//331ecWL16cEo7uRDOpLY9weDwe3nnnHTZs2MBbb71FbW0ta9as4ZxzzonZ6agMmaqtrY15edRmsfPw/+6jvd/Jssp8bj1r1lFDjgIxW1189hdbcHo+bWuQbtDx2i2nhO0rosxsUaqAowkBK20Dpk+fzgdd8JNX9+H1SXwSMow6/vvfFnHilOQW9kkpefzxx3nvvfd49tlnk9besLKykoMHD4Z8rrm5edRhXSGYlJbHMSkegXi9Xt5//302btzI66+/zoknnsjFF1/MueeeG5FzS0nFdjgczJ8/f0Idcg1HBrj26e0MOT+dOJ+drue3Vy1kYfnY4xmU2TZKCNhgMIQNAbvdbrZv305FRQVTpkwB4H8aO3mxrgNTmp6vnVrBgmnjb8E4HqSU/O53v+N///d/2bhx47F0d9fEI9Xx+Xx88sknbNiwgVdffZXKykrWrFnD6tWrQzo+lZYBBoOBE088ccLzG/rsbs5+9D0c7k8tjwyDjtdvXUlhDNPa7HY7XV1ddHd3I6VUIzcGg4Ht27cza9aslC1UlFLyhz/8gU2bNvHiiy+m5AiHcaCJx2TC5/NRX1/Phg0beOWVVygrK2PNmjVccMEFFBQUYLPZaGpqorCwMFoTNK680dTNt1/YiV4IvD7JT9aexLnV428o5HK56OrqoqOjg/7+fkpLS6msrEyZrl/B/OlPf+Jvf/sbmzZtSnqnuQSQel94BBy34hGIlJKdO3eyYcMGXn75ZbKzs2lvb+f+++/n/PPPT/bhMejw0N7voCwvg5yM+Pm4HQ4H27dvZ86cOXi9Xrq6urDZbOoIz0SEgGPhb3/7G0899RSbN2+e0KFYE0jyv+QY0MQjiJaWFi688EKWL1/Orl27yMzM5Atf+AJf+MIXmDJlSkpcTPFAmYs7b968Ec2mvV6vOsJzYGAgriHgWHjxxRd54okneOmllxI6hjPJTMqTShOPIBobG7FaraxYsQIpJc3NzWzcuJEXX3wRvV7PRRddxNq1a5k2bdqkFRJFOKqqqsjPzw/7Op/Pp47wtFgs5OTkqGXxExEe3bx5M4888gibN2+e8G76E8ykPJESKh6rVq3i7bffPupxu90+6RxeUkra2trYuHEjL7zwAm63m4suuog1a9Ywc+bMSSMkVquV+vr6qLJj4egQcEZGhhq5SURC3muvvcZPfvITNm/eTFFRUdy3n2JMjpMniISLh06n44EHHhjx+MknnzxpLrZQSCnp6Ojg+eef5/nnn2doaEjtSTJ37tyU/WxDQ0Ps2LGDBQsWjLuL29DQkFoWrySsxasP6ZtvvskPf/hDXnnllYREf3bu3MnNN9/Mli1byM/P57rrruPee+9NZk+V1DxhxiDh4lFcXMyGDRvGs5mUp7u7W+1J0tvby+rVq/nCF76QUj1JBgcHaWhooKamhuzs+CZ6Kf01urq6RoSAY4mK/N///R/f/e532bx5c0SVytFisViYP38+1dXV3HXXXezfv59vfetb3H777dx///1x31+EpMZJEiWaeMQZs9ms9iRpa2vjvPPOY+3atUmdSasU8tXW1iY8WuFyuVQhcblcFBcXU1paGlEIeMuWLdx55528/PLLTJ8+PSHH9+Mf/5iHHnqIgwcPqsu2hx56iPXr19PR0RHVUi6OaOIRzKpVq9i6dSsej79G4vTTT+fhhx+mtrZ2PJudNPT39/Pyyy/z/PPPs2/fPs455xzWrl3L4sWLJ0xI+vv72bVrFwsXLpzwfiAej0etAlYGZCuDn4KF5KOPPuLWW29l06ZNMTdVioQzzjiDadOm8cwzz6iPHTp0iJkzZ7Jp06Zkza7VxCOYe++9l8rKSubOncvBgwf50Y9+xJEjR6irq0tq4lUyGBoaUnuS7Ny5k7POOou1a9eyfPnyhK21LRYLu3fvTopwBOPz+dQq4IGBAfLy8igpKSEnJ4ddu3Zx44038uKLLzJr1qyEHkdpaSk33ngj69evH/F4VlYW69ev59vf/nZC9x+GY188+vv7aW9vH3OjVVVVIR/v6OigqqqKa665hkcffTSKwzy2sNvtvPbaa2zYsIFt27apPUlWrlwZt54kZrOZPXv2sGjRopSLbEkp6evro6Ghgeuvvx6n08k999zDV7/61bj7Y4IxGo08/PDD3HbbbSMeLy8v5+qrrz7KuT9BTErxiOpMfe655/j6178+5uvCCdLUqVM57bTT2Lp1azS7PeYwmUysWbOGNWvW4HQ6ef3113nmmWe44447OPXUU1m7di2f+cxnYg6B9vT0sH///pQtDRdCUFBQQFFREdnZ2Tz88MNs376d+++/n5/85CcTsv9glDk8GpETlXhcd911XHfddePeqfZH+pT09HQuuOACLrjgAtxuN2+99RYbNmzgP/7jP1i+fDlr1qxh1apVEYtAd3c3zc3NLF68OGnl6pGwe/durr32Wv7yl79QU1PDZZddNiH7LSgooK+v76jH+/v7wybMKcLi8/lSpn9uKjCh30RnZyfvvvsuS5cuncjdThqMRiOf+9zn+M1vfkNdXR3XXHMNr7/+Oqeffjpf//rXefnll7Hb7WHf39nZSUtLS8oLx4EDB/jKV77CH//4R2pqaiZ031VVVTQ1NY14rLW1FavVGna5rTSi1ul0+Hy+kK85HkmYeNTX13PBBRfw1FNP8c9//pM//OEPnHnmmeh0uqPWmxpHYzAYWLVqFb/61a+oq6vjhhtuYMuWLaxatYqvfOUrvPDCC1itVvX1R44c4dChQyxatCgl574oHDx4kKuuuorf//73LFq0aML3v3r1al599VUGBwfVx5599llMJhNnnnnmUa/v7e3l5JNP5qGHHgLQLI8AEhZtOXz4MF//+tfZtm0bvb295OTksGrVKn70ox+FVXiNsfH5fHz88cdqT5LZs2dTWlqKx+PhkUcembAm0LFw+PBh1q1bx69//WtOOeWUpByDxWKhurqaBQsWcNddd3HgwAHuuOMObrvttpBJYl1dXXz7299mcHCQ22+/nXfeeQeHw0FVVVU8h1pPynW8Vhg3ifH5fKxfv56//OUv5OXljehJMlrBWzJob2/n8ssv59FHH+WMM85I6rHs3LmTb37zmyPS09evXx82ZF5XV8e6des4fPgwRUVF2Gw2ent7ueWWW+IVNZyU4pG6tymNMfF4PAwNDdHQ0EB6ejqNjY1s2LCBNWvWUFhYyNq1a7ngggtCzlWdSDo7O1m3bh0//elPky4cANXV1bz55ptjvk5xlC5cuBC9Xo/NZuPHP/4x//Zv/8aTTz7JPffcQ1FREd///vcn4KhTj+PO8kjBoqi4owzd3rBhAy+99BKZmZmsWbOGL3zhC5SWlk5otKunp4dLLrmEH/3oR5x33nkTtt94IaXkz3/+Mw888AAnn3wyzz//PO+++y4LFizgnnvuYcOGDTzzzDPjDQJMSsvjuPL+WCwWzjnnHIQQ/P3vf+cHP/gBP/vZz7j33nuTfWhxRQjBvHnz+O53v8uWLVv47W9/i9Pp5Mtf/jLnn38+jz/+OEeOHAmbjxMvzGYzl19+OevXr5+UwgH+77K3t5fs7Gy+853vcNppp3H33XfT0dHBNddcg8Ph4IMPPkj2YSYHKeVoP8cUDzzwgMzPz5f9/f3qYw8++KA0mUwjHjtW8fl88tChQ/KRRx6Rp59+ujz11FPlAw88IHft2iWHhoak1WqN28+RI0fkypUr5fPPP5/sjz1ufvazn8nZs2dLKaV87rnnZE1NjXzwwQellFJed911ct26dVJKKb1eb6y7GOs6TMmf48ry+Mc//sF55503onLyiiuuwG63h2xadKwhhGDGjBncdttt6oCs3NxcbrrpJs4++2x+9rOfsW/fvnFbJIODg6xbt47bbruNiy++OE5HnzyWL1+O2+1m8+bNXHbZZZx77rk8+OCD6qAnpW7oeAvjHleftqmp6agwcUVFBZmZmUclDh3rCCEoKyvjpptu4o033uCll15iypQpfPvb32bVqlU8+OCD7Nq1K2ohsVqtfPGLX+Qb3/gG69atS9DRTywrV66kvLyc+++/H6vVyk9/+lNOPfVUrrzySnbt2kVlZSVerzfhy8BU47gSD4vFEjKEWVBQgMVimfgDSiFKS0v593//d1599VV1ps29997L6aefzn333ceOHTvGzK602WxcccUVfOUrX+HLX/7yBB15YvH5fBgMBh5//HH27t3L5ZdfzrZt2/jyl79MX18fe/fu5ZZbbkGv12vicayjFUWNTWFhIV/96ld5+eWX+ec//8n8+fN58MEH+cxnPsMPfvADtm7depSQOBwOrrrqKtatW8c111wzYcc6MDDAvffey4oVK8jLy2Pq1KlcfPHF7NmzJy7bV5YiNTU1PPHEE9TV1bFs2TKuv/56vF4v06dPZ/PmzbhcruNu2XJcOUxLSkrk+vXrj3o8KytLPvTQQ0k4osnFwMCAfOaZZ+Tll18ua2pq5C233CLffPNN2dvbK88//3z5y1/+Uvp8vgk9ph07dsiysjL5ve99T7722mvyxRdflCeffLLMz8+Xhw4diuu+fD6f7OjokL/61a/kn//8Z3nw4EH59a9/Xc6fP1/u27dvPJtOuvMzlp/jSjxOP/10ecUVV4x47NChQxKQmzZtStJRTU5sNpt84YUX5FVXXSWLiorkd7/73QkXDimlHBoakjabbcRjvb29MisrK+SNYjwEfj7l/62trXLmzJmyoaFhPJtOuhDE8nNcZZiuXr2ahx9+mMHBQbV7+GhFURrhMZlMrF27lrVr19LX10dubm5Sln6herIWFhYyc+ZMtRo2XgR+PiEEHo+H8vJydu/eTXp6+nG3/D2uFmnXX3896enpXHLJJbz++us8+eSTrF+/njvuuCNZjW+PCfLz81Nqvd/d3c2+ffuorq5O6H6UIkSl18rxJBxwnKanR1MUpTH5uPrqq9m8eTN79uyZLAOjJqXqHHfioZH6jKdX7q9//WtuuukmNm7cOJkS1CaleBxXPg+NyUGsvXI3bdrEzTffzIMPPjiZhGPSolkeGscE7733Hueccw7XXnstjz32WLIPJ1ompeWROl4ujaN46qmnEEIc9fPEE08k+9BSisbGRi688EI+//nP88tf/jLZh3PcoC1bJgFvvvnmiKFNs2fPTuLRpBZdXV18/vOfJzs7m1tuuYUPP/xQfS43NzfhEZfjmeNePJR2+mazOeVCjgrLly9P+DCkycrOnTtpa2sD4Kyzzhrx3Jlnnslbb72VhKM6PjjuxUOJzd933318/PHHPPzww6Snp1NVVZX0EY0aY7Nq1arjriAtVUi92+wEI4TAbDbz/PPP09rays9//nPuuOMOiouL+cY3vsHQ0FCyD5E5c+ZgMBiYN28ev/nNb5J9OBoagGZ5APDYY4/R2trKd77zHdasWcO0adP4wx/+wE9+8hOuuuqqpDXtLSsr47777mPFihV4vV7++te/cv3112Oz2bj99tuTckwaGipjFL8c8zQ0NMiioiL5gx/8QDocDvXxl156SU6fPl3+6le/klLKpBR9hWLdunWysLBwPC3vNFKPpBe5xfIzVp7HMY0QIhNYD1wDlEspXUIIvZTSK4S4D7gA+Hcp5cdCCCFT4MsSQlwO/A2YI6U8kOzj0Th+OS59HkII5XN/FjgbeHJYOIzDwlEOXAz8S0r5MUAqCEcQqXY8GscZx6V48OmFdyPQAfxp+Hfv8L/fBNKUx0VqlUteCvQAB5N9IBrHN8elw1RKKYUQJwDnAV+RUjYNP+4TQlQBXwceAJJqdQghNgIfAvWAHvji8M8tUkptXLtGUjkuxQNASrlXCDET/10cACFEDvA1wA38PAWWKruBa4EZ+OsfdgJXSymfTupRaWgwdmHcMUugAzTASXoJcDfwkpTyPuXx5B6phkZqcrz6PIKXIsoS4HrgMPDnoMc1NDSCOG6XLYEM+0BWA+cAlygh0BRYtmhopCzHreURglbgu8DLyT4QDY3JwHHr89DQ0BgfmuUxjBBC64CsoREFmuWhoaERE5rloaGhEROaeGhoaMSEJh4aGhoxoYmHhoZGTGjioaGhEROaeGhoaMTE/wfTcG1fsqjSXgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "\n",
    "# Data for three-dimensional scattered points\n",
    "zdata = Event_Particles['pT']\n",
    "xdata = Event_Particles['eta']\n",
    "ydata = Event_Particles['phi']\n",
    "ax.scatter3D(xdata, ydata, zdata)\n",
    "ax.set_xlabel('$\\eta$')\n",
    "ax.set_ylabel('$\\phi$')\n",
    "ax.set_zlabel('$p_T$ [GeV]')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, '$p_T$ [GeV]')"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(projection='3d')\n",
    "\n",
    "# Data for three-dimensional scattered points\n",
    "zdata = Event_Particles['pT']\n",
    "xdata = Event_Particles['eta']\n",
    "ydata = Event_Particles['phi']\n",
    "for x,y,z in zip(xdata,ydata,zdata):\n",
    "    ax.bar([x], [z], zs=[y], zdir='y', color='b', alpha=0.5)\n",
    "ax.set_xlabel('$\\eta$')\n",
    "ax.set_ylabel('$\\phi$')\n",
    "ax.set_zlabel('$p_T$ [GeV]')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "# Data for three-dimensional scattered points\n",
    "zdata = Event_Particles['pT']\n",
    "xdata = Event_Particles['eta']\n",
    "ydata = Event_Particles['phi']\n",
    "n = Event_Particles.shape[0]\n",
    "ax.bar3d(xdata,ydata,np.zeros(n),np.ones(n)*0.5,np.ones(n)*0.5,zdata)\n",
    "ax.set_xlabel('$\\eta$')\n",
    "ax.set_ylabel('$\\phi$')\n",
    "ax.set_zlabel('$p_T$ [GeV]')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 170,
   "metadata": {},
   "outputs": [],
   "source": [
    "Event_Particles.to_csv('event.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(electron_out.eta(), electron_out.phi(), 'bo', label='scattered electron')\n",
    "plt.plot(photon.eta(), photon.phi(), 'go', label='virtual photon')\n",
    "A = [electron_out.eta(), photon.eta()]\n",
    "B = [electron_out.phi(), photon.phi()]\n",
    "plt.xlim(-8,4)\n",
    "plt.ylim(-np.pi, np.pi)\n",
    "plt.legend(fontsize=10, loc='lower right')\n",
    "plt.xlabel('$\\eta$')\n",
    "plt.ylabel('$\\phi$')\n",
    "for xy in zip(A, B):\n",
    "    plt.annotate('(%.2f, %.2f)' % xy, xy=xy, xytext=(0,-20), textcoords='offset points', fontsize=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.141592653589793\n"
     ]
    }
   ],
   "source": [
    "print(photon.phi()-electron_out.phi())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(electron_out.pT(), electron_out.phi(), 'bo', label='scattered electron')\n",
    "plt.plot(photon.pT(), photon.phi(), 'go', label='virtual photon')\n",
    "A = [electron_out.pT(), photon.pT()]\n",
    "B = [electron_out.phi(), photon.phi()]\n",
    "plt.xlim(0,100)\n",
    "plt.ylim(-np.pi, np.pi)\n",
    "plt.legend(fontsize=10, loc='lower right')\n",
    "plt.xlabel('$p_\\mathrm{T}$ [GeV]')\n",
    "plt.ylabel('$\\phi$')\n",
    "for xy in zip(A, B):\n",
    "    plt.annotate('(%.2f, %.2f)' % xy, xy=xy, xytext=(0,-20), textcoords='offset points', fontsize=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "delphi = []\n",
    "deleta = []\n",
    "scattered_pT = []\n",
    "photon_pT = []\n",
    "quark_pid = []\n",
    "\n",
    "# Begin event loop. Generate event. Skip if error.\n",
    "for iEvent in range(0, Number_of_events):\n",
    "    if not pythia.next():\n",
    "        continue\n",
    "    proton = pythia.event[1].p()\n",
    "    electron_in = pythia.event[4].p()\n",
    "    electron_out = pythia.event[6].p()\n",
    "    photon = electron_in - electron_out\n",
    "    deta = photon.eta()\n",
    "    dphi = photon.phi()\n",
    "    if dphi > 3.1415:\n",
    "        dphi = 6.2832 - dphi    \n",
    "    delphi.append(dphi)\n",
    "    deleta.append(deta)\n",
    "    scattered_pT.append(electron_out.pT())\n",
    "    photon_pT.append(photon.pT())\n",
    "    quark_pid.append(pythia.event[5].id())\n",
    "\n",
    "delphi = np.array(delphi)\n",
    "deleta = np.array(deleta)\n",
    "scattered_pT = np.array(scattered_pT)\n",
    "photon_pT = np.array(photon_pT)\n",
    "quark_pid = np.array(quark_pid)\n",
    "# End of event loop. Statistics. Histogram. Done.\n",
    "pythia.stat()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-4, -2,  1,  2, -1,  2, -2,  2,  2, -1])"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "h = plt.hist(quark_pid, bins=np.arange(-5,7)-0.5, rwidth=0.9)\n",
    "plt.xlabel('struck quark PDGID')\n",
    "plt.ylabel('number of events')\n",
    "plt.xticks(h[1] + 0.5)\n",
    "plt.xlim(-5.75,5.75)\n",
    "quark_pid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
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