LennartNaeve_code/coil_design/2025_06_20 (measure field).ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7ca05d0b",
   "metadata": {},
   "outputs": [],
   "source": [
    "from src import coil_helpers\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from src import coil_class as BC\n",
    "\n",
    "import magpylib as magpy\n",
    "import matplotlib.ticker as ticker\n",
    "\n",
    "import scipy.constants as const\n",
    "from scipy.optimize import curve_fit\n",
    "from scipy.interpolate import interp1d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "261c4759",
   "metadata": {},
   "outputs": [],
   "source": [
    "def circular_HH(HH, radius, distance, layers, windings,\n",
    "                I = 1, #A\n",
    "                wire_height = .5 *1e-3,\n",
    "                wire_width = .5 *1e-3,\n",
    "                insulation_thickness = (0.552-0.5)/2 *1e-3,\n",
    "                print_info = True):\n",
    "    \"\"\"returns magpylib system for a circular HH-coil (parameters in m) and prints info on it if requested\"\"\"\n",
    "\n",
    "    #### give out coil parameter s####\n",
    "    HH_Coil = BC.BCoil(HH = HH, distance = distance*1e3, radius = radius*1e3, layers = layers, windings = windings,\n",
    "                    wire_height = wire_height*1e3, wire_width = wire_width*1e3, insulation_thickness = insulation_thickness*1e3,\n",
    "                    is_round = True, winding_scheme= 2)\n",
    "\n",
    "    if print_info:\n",
    "        print(\"Single coil parameters:\")\n",
    "\n",
    "        HH_Coil.print_info()\n",
    "        print(f\"N = {HH_Coil.get_N()}\")\n",
    "        print(f\"wire length = {HH_Coil.get_wire_length()} m\")\n",
    "\n",
    "        HH_Coil.plot_raster()\n",
    "\n",
    "        #### total inductance from Lenny's code ####\n",
    "        def Self_Inductance_Abbot(alpha, beta, gamma, N):\n",
    "            \"\"\"\n",
    "            Formula for self inductance of circular coil by J.J.Abbott\n",
    "            \"\"\"\n",
    "            L = (7.9e-6 * alpha**2 * N**2) / (3*alpha + 9*beta + 10*gamma)\n",
    "            return L\n",
    "\n",
    "        alpha = 2*radius\n",
    "        beta = HH_Coil.get_coil_width()\n",
    "        gamma = HH_Coil.get_coil_height()\n",
    "        N = HH_Coil.get_N()\n",
    "        dist = distance\n",
    "\n",
    "        L_pair = Self_Inductance_Abbot(alpha, dist + beta, gamma, N) +Self_Inductance_Abbot(alpha, dist - beta, gamma, N) - 2 * Self_Inductance_Abbot(alpha, dist, gamma, N) + 2 * Self_Inductance_Abbot(alpha, beta, gamma, N)\n",
    "        R_pair = 2*HH_Coil.get_wire_length() * 0.08708\n",
    "\n",
    "        print(\"Pair in series:\")\n",
    "        print(f\"wire length = {2*HH_Coil.get_wire_length()} m\")\n",
    "        print(f\"R = {2*HH_Coil.resistance(25)} Ohm\")\n",
    "        print(f\"L = {L_pair*1e3} mH\")\n",
    "        print(f\"tau = {L_pair/R_pair*1e3} ms\")\n",
    "\n",
    "        print(f\"\\nat {I} A:\")\n",
    "        print(f\"V = {R_pair*I} V\")\n",
    "        print(f\"P = {R_pair*I**2} W\")\n",
    "\n",
    "    #### calculate field properties ####\n",
    "\n",
    "    #define coils\n",
    "    winding_offsets = HH_Coil.full_raster(raster_value=1)[:,0]\n",
    "\n",
    "    coil1 = magpy.Collection()\n",
    "    for coord in winding_offsets:\n",
    "        winding = magpy.current.Circle(\n",
    "            current=I,\n",
    "            diameter=2*coord[1],\n",
    "            position=(0,0,coord[0]),\n",
    "        )\n",
    "        coil1.add(winding)\n",
    "\n",
    "    coil2 = magpy.Collection()\n",
    "    for coord in winding_offsets:\n",
    "        winding = magpy.current.Circle(\n",
    "            current=HH*I,\n",
    "            diameter=2*coord[1],\n",
    "            position=(0,0,-coord[0]),\n",
    "        )\n",
    "        coil2.add(winding)\n",
    "\n",
    "    #move to test if slight changes in positioning have a large effect\n",
    "    #coil1.move([0.5e-3,0,0])\n",
    "\n",
    "    # Combine them into a collection (like multiple windings)\n",
    "    #system = magpy.Collection(coil1, coil2)\n",
    "    system = coil1\n",
    "\n",
    "    return system, 2*HH_Coil.get_wire_length()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7dd70e35",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Single coil parameters:\n",
      " \n",
      "HH = 1, Distance = 65.0 mm, z_min = 29.740 mm, z_max = 35.260 mm\n",
      "Radius = 65.000 mm, Radius_inner = 63.051 mm, Radius_outer = 66.949 mm\n",
      "Coil width = 3.898 mm, Coil height = 5.520 mm\n",
      "layers = 8, windings = 10, wire_width = 0.500, wire_height = 0.500 mm, round wire = True \n",
      " \n",
      "N = 76\n",
      "wire length = 31.038935417467158 m\n"
     ]
    },
    {
     "data": {
      "image/png": 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v7actXaIxVBTn4dCahQknxBTlpDOLD3za0mVIqE6ubYrdEiUJVlGch9fvu4q551MNJfkZzI35n7Z0GR6eFH7G2pKyblEZNiyZk9AeU4fNiqqZBUwbvb6Aod9L6bGZ+52J4QWtLLWS4MqSR1pxRskTdG66A8vmFclWKJm/1oUT3QOmriztVsDzHLtqEKviTKx+bADGxLFx6qodoipEZtgpV1GHt5FVcSZWP7EqIvE2+kPGrrikn/1wgXzlm8W1+9DY2oNzvqCia8ariFTj8mDdriOax661bXUMG4nhzUVbwYcIr06ESTl1h9oi6vGdfT7kZlwoCn91UY7i4ub8EzWgPWympm0sVlReqLvKFzRvbO1BdpoD/f4gBgMhZKc5MHHsKIzLTlNko90qrkKUbDulNvIr7Z5+P1LsVqQ5bOjp92PB9HGKi5vbrRYEQsaWnpN+1tIp//6Q3+rBFzRvauvBye5+5jwqKW7e0uk1fL5Yx7FsJAg5yFkOIYQ33OGKUmd/MTPcbRQ+4BHESIGc5TCks88XyUIEzFEAMTuW3x/gIuE3s+zs7FMeXk8Ud3OH7Dj0tFn6WTJ0ULWOXWtbM20khg+U4DOE0ZrmnpvhND3BJ01BOFZPG9MUjldPO4UhcaNtrCjOMyXxRfqZGo3QRG0sKcg2/HvJOtZqIzGyoZXlEIF/XynccyZ83xIIcRiXlarovWVPv9/0laVSG/m9kbz6idBOPqs0VmIPj9Lx6mlnT398VRX+feXpcwOwW9myW5lOO6pKCxTZaPbKkhdWjkXVejd6fQH09PvR6wtGzaPDZsXM8dlx31ue7ulPyspSiY0EIYWyYbWiUzasNMOQQ/ysP4c1XIdVLpOS34NoZuKLnC4hoE1DM14m5fy1LnT2+QxLAmF9VjWzgPmgolVDM5a2JG+jlr24atpKP5PTQdWqoRlPW5LXejXqe8k6Zm1FIkYGtM/yIsTd3IGSJ+tw8PhZkf6iknCT3WpBS5cX92/cHyn5JqQo15xi30IyGXsNa1welK7eiZPd4VWWmrCZ3WrBye4BlK7eybSR1Z/RsH6vi2v34cE3DqCly6s6PMhrS0rVTXjMtlHuZrC4dh/W7ToCry+gumB9IAS8stuD+WtdTBsdNnNvQWb3Rwwf6JuTBPjqNmpCmCxCCN+IpJvlV1ROjYSchCEquWM92laVFojGUL21Aa/s9iSsL+kPhrB+15GoG21VaYFuY1fSNhDiolZH1VsbsPfYmYTsw/l+WBqhVaUFhs0X67yVcTeYv9aFg8fPJmxjZ5+PqRGaneYw9HspPc5Oc0SNgSCUQM7SZHjtRTk1EC03hW31rVGafdPzM0xLfCnJzxA5EqH2oh43wiAQpZ+5onIqSvIzTEvwebRymuj3K9VeTNTOXl8QSzfuFznMFZVTkeW0GZr4IvyMZeOJ7gHdHBdLI3TPykrZwvt6z60N0bV3CUIp5CxNxN3cgffqW6NUJLTe3ITHJ7sHRM5EKNVlNMK++FqiejuuFLsFdY1tSbHRbkXUwwD/LlFvO6UrzJnjs02xUSgLBlx4J6y340ISbRTKghGEWshZmsiDbxxAEPqFzaTH79W3iuSyinLSDQ9PCsWma1wevHd+RWlUn+8IBKf57RV6h+qknwlFrXkb9ZgvVtteX1AUruSTf/SaL9b5wQAnEpuuWu/GScmKUs8+WTYaHYaV2kgQaiFnaRK8/JGeYTPpcYrdIpKtqnusAoWjUw0LT6bZLah7rCLS36a9LTFXzXqF2IRSUhuWzEHm+VClEX0Wjk5l2qjHfMm1FX5fhDYaFYa9fdZ40arS80WfrvPFOh4IcKLV5V3n9TON6lNqI0GohZylSZglPOv1BUTZo3tWVkZqqOq54gIuaHPynPXG34eoB8LfJa+fCSDh1Ye0rXQ7TI3LY5pqBctGI1ZchaNTRdthalyeSDF4o3mhrilyzOtnDiYwX3Ln5bb8EIQaaJ+lVlTss+T3ywH6q0SwjlkKILH2JbI+kzvmb7DSRAmzlU5YY+D37MUau1I7WftGeaUTNXYkYqdUAYTPomYVAtBis1SDlLfRaKUT4bFUAUSoEar2e8k6T46SEEL7LIc4Pf1+XcNm8a4VYqwM9qysxOyJYxK2JSfdwcwo7On36x6qi9WWVU1nw5I5mkvSCZk9cQzTxlDImPmSa1t3qE3UP7/C5B1BIsybPDbKidS4PLBbjZkvuWOWjY8tmJbwfkiHzYqHr5tKjpLQDVpZakXFyvKylTt0eypX+tS++b6rmNV91GpLClercpVY3M0dWLZxv2GrD7nzm2LYqFZbMp6Gpru5A0s37jdsvlht0+zy1WbUakvyn8XS0Kxa70ZTe59h88U6To1hI6vyU7w+41V+IkY2pGc5xOFvCkBiYTM1ocTtDW3MG6JQBoyv8dnWPYAUxnWU1vjc3tCmKZybaNt4NrqbO1DrPorG1h74g6Go62Q6bchOcyDTaRcl8cjZyJpHI+2MBZ8lK9RAZZXGU1NTuNcXkB2zUXMbC97hCWsKe32BqOvknN8SoqSmMEFohZzlCIblINzNHcNGq5Cluzic7APYGqhkI0HoDzlLg3E3d4gySOMdJ3qeP9aq2aflBsTrEuppp5K2WmzUeoNtausxdL7k2mpxClpt5BPAjJovubZaIEdJmA0l+BhMRXGerskRSq9lpmYfr0toVBKI3HmzbTRyvuQ+M9Mp5GY4DZ0v1rFWHVSCMBtaWY5g3M0d2N7QBveRDqQ5bADCqws+o3Ti2FFx31cOdfj3lsfPfImefj9S7FakOWzo6fejcHQaSgqycWtZwUVtY43Lg5ZOL3YdPo3sNAf6/UEMBkKRouFK3lcOdaq3NuB0Tz9zHmeOz8a47LSL3kZiaEPO0gSSEYaNJdPF1tD0R/4tvyf0RPcA9h47EzfDsCg33fBQHet8LBtlNTR9QQBhceym9j40tffhnfrWuNqSRbnppodhAyH5IKWchmavLyg65gCcrG/FtvrWuNqSiDFmo+bWHiO2FVNDUzCPe4+dAYdwucdYGc0EkQgUhjWBtPOhJzPDsHLbH6au2qFaQ1OoLSmVA8P5vpIRhmXZWL21QZOGJq8tOXXVDqbu4orKqaaHYcdlpTK/T1Xr3TE1NOWuyWtLzvnp+0wbry7KMT0MG8tGtRqaKXYLvL4A1u06gqr1buZ1CUIr5CxNIN1px0BAf/1BuWPWpFZvbcCDbxxIqJSZPxjCtvpWpsNMd9oVjU2NHbHapjOEkeevdaGusS0hDc1AKFzwnmWjVYMdidh5dVEO08am9j7N9gHh7Rf3S+TAgHDJuUGD5kvumGVjyZN1aOnyJmRjS5cXpat3Mh8KCEIL5CxNYN3dZaauLOdOHivqn9de1OuGztLPXHd3makry3V3l0XZyGsv6mHnO4yHgrmTx5q2snRYwSxFd7J7QBfHxdII5W00a2WZk+4Q2ehu7kDJk3XoV2hbPDtZGqEEoRVylibAy2WZgcNmFb13E2ov6nlD7+zziRxmRXEeMp02U2wUyoIB0dqLetkp1c/csrw84TJsShHKgvE2BkL6Oq4UuwXv1beKnMmW5eWm3RSEkll83VsAujtoqX4mQWiBnKVJPF5VIhvi0jOsJxTSrd7agG0C7UW9Q4UnJILTM8dnmxKGFYo+z/np+1Hai3r2KQ078zYaGYYdDHBMG40IiQYBfGezePWV7rTpOl+sY0D8Xv3+jfvR6wsa0mevLxhlI0GohZylSfAFoo0Mw5bkZ4hWlbsOnzY8JLrr8OlIf1uWl6MkP8PQPqfnZ4hWlWe9+hWpl2vLstHIMOxjC6aJBLW958vQGREStQCwWy0iuaxDaxZGaYTqHYatXjAt0l+Ny4OQzt9L6bHURoJQCzlLE1lRORWFo1MNWVnareLydYtr9yWU6KIUfzAkEique6wCuRlOQ1ZcuRnOKBvNkF7s9QVFq5K6xyoiGqF621k1s0C04hKKeRtJS5dXZKNUI1SvVd5ggEuajZ4vEkuMIkY25CxNZs/KStx5XhVer5Vl4ejUKP3KvcfO6Bo2i9X242NnRDfaPSsrMWF0qq4rrjtnjRft83Q3d+Dj8/vrzLCTf5/G43nuZhSOTtV1ZXmXRF/S3dyBTq/f0JCo8DOhjRXFeWh6piqy7UmPVZ4NwOv3XSWycXHtPnR5/YZ8L6XH/hBED3YEoQZylkmAV4XX45dflJMeVSyAd1xGhyf54xS7BbXuo6Ix7FlZqVtSU0l+RlRmaK37qKL9d3rZ6Q+Got557VlZqUtSkxVskeJa91FD5kvufL8/GDW2DUvmMLfpqMVhs+L2WeOjKiU1t/ca9r1kHTe39yZsCzEyIWeZJNYtKsNjC6Yh3WkXJf4ofYJ22KyYN3ksUzmk1n3UtBUXf9zY2hM1jrrHKvDwdVMjIUu1fdqtwMPXTWXa2Njao9vYlbaVPhAA4fd7syeOgcNm1RSSTHfa8diCacxSbY2tPYbNF+u8nxHTrijOw4GnbkTh6FQEQtr6LMpJx8v3zGba2HV+5WzGypI73x9BaIHK3SURofTQ/LUu9PT70esLItVuARD+Ty49Tnfase7uspi1TI+f+TLyRC13HeFxvPNK2sq9HxVqS75Q14Tm9j6kxLjOYIBDcQyBYh5/MKTb2JW2PX7mS+ZYhNqSW/cfj6h3yF3HYbMiO80RV6BYWGVJTztina/e2sB0akJtyVd2eyKfy10zJ92B4vxM2fKBQDhb2+jvJetYzkaCiAU5yyECfzPii5sDYVkoXlmjKDf9oq53KdSW5Iubj8tOw+mefgDAuOy0i76gufDhhy9uLrTvdE9/TOdxMSC1cd/Rzqh5JEdEDEfIWQ4xWILFauns80XCT4A5Rc05FePTw8b+AAeLgvEqHbuStp19PsXjS/TBxt3cITsOPW2WfqZGI5QlyqwGXgdV69i1ttWq9UqMbOid5TAkN8NpWuILf2y2LqGeWZpK2/LSZWZQUZxnSuKL9LNk6KCameCTajdXB5UYPtDKcogxXMOwQoZrGFbIcA3DCqEwLDGSIGc5BKhxefCS6whCIUTp9vEKExyAdbuOwIpwsetYN91+f9D0MGy8EAVbQ/OCnRYgUpovnrYkEE4ECikYr552srZWCOFr1PL/nmVn0codsAKwKtCWHJQZh5Fh2FjIaWhKj9+pb4XDCmSnxdeWTEYYliC0QGHYJFLjCmsLvrLbg0AIivYNhgAcPH4Wpat3ym6wrpiWZ3oYtmA0W5ewxuVRraEp1JascXmY1y04X/TATDsrprFXvYtr90U0NCH596zrpNjF2pKxbDQ7DCu3Kpy/1qVKQ9NuFWtLsuqyrltUlpQwLK18CS0k1Vm++uqrKC0tRVZWFrKyslBeXo4//OEPzLbf+973YLFY8Itf/MLcQRpE9dYGrD8vbqsFfzCEvcfOMEVuby0rMGSPWqzzmYyN61Xr3ZEHAS3wDoVlY+Z5jVAz7by1rCBqHKWrd0YeBLTg9QWwftcRpn5mpoxGqJ42Sz+T4m7uiBRy10pLlxePvHmQaSNijNOIuSUIrSTVWRYWFmLt2rU4cOAADhw4gOuvvx633XYb/vrXv4ravffee/jkk09QUBB9s7oY4fUlg0j85tbU3oeSJ+tET+4VxXnIOl8I24wVV6bTFlU4YOqqHWhq79PlRni4vS9KP7PusQpkOm2mrSxLJAXcee3Fc+eVMhKxMwi2RmjdYxWwGTBfcuen54tlwdzNHVi6cb9sOTo1Nvf6gkyN0Ievm2rqyvLh64bHe3/CfJLqLG+55RZUVVVh2rRpmDZtGp599llkZGTg448/jrRpbW3FihUrsGXLFjgcjiSOVh/491p6hc1S7eE3Rg++cUDUj1Cqy2ikfQm1F/W6EUr1M1n9GolQMgu48PvW00GflEieAcCYdPO+80IbeX1JvR2XVCN0ReVUXcrpKcFuTXxLDzFyGTLvLIPBIN566y14vV6Ul4cTO0KhEJYsWYIf/ehHmDFjRpJHmDiLa/fhxHntRb3CZvxxf4BD6eqdkb62LC/XXJ5MTdtAiBMl4vDv7ozo82T3QJSNZoRh7VaIVpWlq3ei36A+t9W3it5FL5tXpOt8yZ3PzXCKikbw+pJG9Mmy0Yww7Lgs9nt1glBC0p1lY2MjMjIy4HQ68eCDD+Ldd9/F9OnTAQAvvPAC7HY7vv/97yu+ns/nw7lz50R/hgLu5g4cPH5W94QM4bFULuvXS68yPDz566VXRfrjZcGM7FMql3XN5LG6h+qkn7Fs1GO+5NoePH42YuOKyqmYd95Go8KwOeni0nvVbzcgRcfvCOv408/PRPpbUTkVuekOXb+X0mOpjQShlqQ7y+LiYjQ0NODjjz/GP/3TP2Hp0qU4fPgw/vKXv+Cll17Cpk2bYLFYFF/v+eefR3Z2duTPhAkTDBy9cswSnhUWNK8ozkPVzPjJPlqf4AtHp4pWXKxi6kYg/F1uWV6O3AynIas8XntxqNho1Mpy3d1lor7PmlBsPBCCKAuYH4MRK0vh9QlCKxaO44ZUktgNN9yAKVOmoKSkBD/4wQ9gtV7w58FgEFarFRMmTMDnn3/O/Pc+nw8+34WyZOfOncOECRPQ09ODrKws/QbqdAKDg9Gfp6QAPnFZtBqXB+t2HQHA3pcmPE70PAAUjk4VrxS2NqCuMVzoYCCgT8FqqaRUjcuDn+86EndsauyI1bZ6gXiPYvXWBmyrb1U0diV2DgY4vH7fVSJHOX+tK5IVqud8ybX9fK1Yo1S4j1PtfLHOZzptePme2VE2nuge0H2+WMcOK6J0WPnfsdbvpfQ8ADQ9UwWCAML+IDs7W5M/SPrKUgrHcfD5fFiyZAkOHTqEhoaGyJ+CggL86Ec/wh//+EfZf+90OiNbUfg/yWbr/uO6hs3iXUtaw5TXz9QLlvbi1v3HdQ/VxWq7df/xKBsLZfZ6aoGlvcgnZuk9X3Jtpck+e1ZW6lZyzwpEOUreRiPmi3Vst1qYNgodXSI4bFZsWDJHl2sRRFIr+KxatQo33XQTJkyYgN7eXrz11lv48MMPsXPnTuTk5CAnJ0fU3uFwYNy4cSguLk7SiLUh3KPGh4jkjhM9zx9LWbeoDLeWFeA7m/drvqbDZkXVzHHMTd3CpB497IzXlrXvb8/KSlRvbcCuw6fRHwhq6tNuDQses8ru8cXb1VwzETt3HT7NtLFqvRueL/oQCKm/5mCAw5h0BzYsiZZ5W1y7T3bMRs0ty8amZ6pQtd6Nw+e3HmnpsygnnamDShBaSaqzbG9vx5IlS3Dq1ClkZ2ejtLQUO3fuxIIFC5I5LN2xIlydB0gsbKYmNFXj8kSlyVcU58Hz3M2RsmVN7X2KrpnutMcsW1bj8ugWNlPTlmUj78hrXB5s2tsCry+gqM+SOBqaNS5PZGVkxHyx2srBOwG+TKLdquyauRnOmEkuZ72DsmM2am7j2ciXSYyn88qHleOVSSQIrSTVWb722muq2su9pxzqaCxgkxAtnV7Zc7xEFl+03X2kA2kOG4BwGI4P9U0cOwrLK6bELW4eqy8jidWvUHS61n0Ux898iZ5+P1LsVqQ5bOjp96NwdBpKCrIVFXBPho3xqgLxNvJF23cdPo3sNAf6/UE4bCFkp4X3aF5dlKOoxFuvxmpSiRDPRt7xVW9twOmefuY8zhyfTQXcCcOhQuomoGcIS+m1eBWIWOihK4nzfRkZqpM7b7aNRs5XrLbx0GujfU+/3/QwrFLIERLJZsgl+Aw33M0duu+LU3ItszEqCSTWebMxcr7kPmMVIDeKFLvV0PliHdvpDkRcJNBX1WCSpc84LjtN07/TcnPW2leiaOlXq/NJlo1avj9abeRD8WbCv29Vi5kPEQQBUBjWFIZiGLbG5cEru8ObwqVZnsLbV066A8X5mTGTJoZqGHZx7T40t/ei6/wme6FtHAAbLiRePXzd1JjhzKEahp2/1oWefj/8wRBzHjkAaXYLcjOcWHTVxJg2DsUwLJ+M1tzeB6sVkQxgoZ0OKxAKAcVxkrQIIhGGXFECvUlkE2pMVBQlKHmyLnKcaCah0kzDFsmGdh61WaL8cSDExRQrLnmyzrCMSbnzcpvN5bJE4/UTL+u3aOUOU7NhpcUlhKjJEhV+Fivrly9eYdR8sY5jZejyRRjU9hkv65cYuSTiD2hlaQKBEBfRdDRrZclice0+7D12RtP7Pl5bctPeFhx46kamjWauLFnvutzNHXjy3UZ09vkQCEH1+zBerHjf0U7mStrslSULd3NHlMKMGlq6vHjwjQOYPXFMlI1FuelDYmVZ4/Kg9k9HRQ8CauAL7i//2hRSGSF0g95ZmsDVl+lX7FtJ8kSuRNaJ117ce+xM5CYlvKmxPpM77vT6o/QzeRvNTPC5+rKxUTYu3bgfJ8+ruiRi595jZzB11Y6oedRS7DsRO5+5Y6ao/+qtDbh/4/6I4okSm+TOf3TsTJTk2YrKqchJd5ia4MOy8ee7jogUT7TY2esLYt2uI1E2EoRWyFmawJbl5XDYzPtVL5tXJPqZX4nodUMHgEfePChymFuWl5v2ZXLYrKJVkVR7UQ87AyFE3Wilv1cjyXTaosSm36tvRYqOjoulEWqmjUU56SIb+TCwng6apRFKEFqgd5ZaUfHOErgQApUmJ7ASMhI5n+m04dCahZF+S56sk03gUXrNWG2Fxb5LV+9Ery+o6Tpq2l4zeWzEWda4PFi/6whCBvWZareI3o3yNuo1X3Jt5zFsDOrwu2Odn56fISoNV7Tywqpaj/mSO94sKFRftd6NpvY+w/oskdhIjEyGVSH14cqW5eUoHJ2a8Oon1nleRYKnar0bAHt/oF4hNr4PIFyYO9NpMzQ8mWa3iFaVtX86GqW9qGefwt+j0EY95kuubeHoVKaNeq64hOdburwiuaw7Z43X9TvCOp4gkXdrPl960ag+pTYShFrIWZrIM3fM1PyOScn5BdPHidTuW7qML9HW0uWNhGMrivOwYPo4DCZoh1xbXl+Sx93cEVnJGonni77IMW+jHvPFaguI31XyYtNGs2lvS+R43aKyKI3QRN4fSo9ZNppRElJoI0GohcKwWlEZhuXh36/5gyEMBPTbOiKVzTIrJMqvaIWhX3dzB+7fuD9m8fh4dkrbsrQXS1fvxDlfUPfwIKutMPQLxN5modVOIHo7jNEhUbnQL28jrxGqdr7kzku3w/DfFT7EbJSd/PFmiUYpMbKgMOxFREVxHl6+Z7auCT8sfUnv+bR7I0Oi/LE/GBKFuCqK83D7rPG62cfSXqxxeeAPhnQPD8q1bWztEY1Jb41QlvYi/zs1Mjwp/Ixlo54aoal2S9T+xxfqmmSTloyY2xfqmnSzhxhZkLNMArzD5J/CtYZhgXDlGamjrN7agGCc6+gdYpOGuNYtKsPD102Fw2ZNqE+HzYrHFkyLWg1s2tuie3gwVtteXzAqq3LdojLMmzwWgVBifabaLUwh5k17WwybL9b5c4yQ9p6VlZg9cUxCfQ4GOORmOJlCzM3nNSuNtpM/bm7vixoDQSiBihIkiYriPDQ9U6VaW3IgwCEn3RGz0szpnn5RgoqeoUK58yyEElJqqwbFq6aD8/bpMXalbVnl9YQZq2qrBsXT0ATAnEc9bZZ+5m7uiBoPb6OWqkGxqum4mzt0DdUraZtitzBtJIh4kLNMMryEVI3Lg7pDbaKkHOHLZLs1fONRok14/MyXxgw2Bt4YWohSpwkAA4FwvdZA6IKV6U470p2I6yTj9WcUsX6vvI3VWxvwaUsXTp8biJwLhLiIE83NcCLTaUdVacGQtHF7Q5usI+GdZtV6N3p9gfO1ZMOrUeE88iLM8bRQtze06Thy5cSykSDkIGc5ROBvtnrQ0+8XZR7GO9ajrRL0tFHpeJWMXWnbnn5/3HHpqbsoNw49bZZ+pkQjVK/9inwBfq1j19pWiY0EIYXeWQ5DUuxW0xJf+GOzdQntVuOSQOQ+SzHRSHdzh6HzJXfebIz+XrKOCUIL5CyHIReTLuHF0h9g7u/1YtNBHep9DYV+iYsbCsMOEVjvLPsDHNLOPwkHQhzGZaUqemc5VMOwwneWXV4/Uu2WiCILn9QDKHtnOVTDsMJ3lnZrOPHEbkXkuHB0quJ3lkM1DCt8Z8kn+wjn0WGzKnpnSWFY4mKCnGWSiZUNK1w7BULhwtfb6lvhPtIR06HMHJ8tkuIyOksUQMTRsWBlw/LYrZZIcgh/npcCi2VjTroj6npG2zlzfHZMG4XZsEKJMOEquLPPh84+H9btOoK6Q20xs2Fz0h2Rhwo97Yh1fnnFFFkbWdmwPMJ57PUFcfD4WTz4xoGY2bDLK6bg4PGzmseutW0sGwlCDnKWSaRqvVtTSTqvL4BXdoc1/4SVc3jGZaeZvrJMd8rbyD8IqLWRdyhyCSVGrj5Yn7HCd+7mDlS/3QCvL6BaQ5PXlizKSZe10eyVJctxu5s78J3N+zWFvnltyQXTx0VFRCqK8zAY4CJF8M1YWQ4GOMqEJTRB7yyTAK8vefj8hmzhf3b+b7lj4WfnfEFMWbmDuVneBnMTfKTSTtVbGzBl5Q40tffFtSPWcVN7Hy5buSNKP3PZvCJTE3wynTZm8YelG/ejy+tXNF9yx4fb+5gaocvmFZma4JPljH4nO3+tC8s27oc/pGy+WJ/1+oLYVt/K1Agtzs8wNcGnOD8jagwEoQRylibD14YF2Gogam8KKXYL6hrbohzmGIkAtJGkO+2icKlQe1GvG6FUP3NF5dSYoV+9kYZgpdqLidoJXNAd5VlROdXULGOWjSe7B3RzXCyN0MerSswxLkn9EcMHKqSuFQ2F1N3NHVi6cX/k5shBXz3Lu2aNj6x+alwerNt1RPY6avqM17Z6wbSIs6ze2oD36luZhbET7dMK4HaJjT/fdSShsSttK9TtrN7agHfqWxOeL1bbNLsFG5bMiYQK56914WT3gG52yJ23WwHPcxds5Ps1os9Uho0nugd0/15Kj6U2EiMPKqR+kfDku426hs2kx7sOn46svlZUTkVJjBCXXuGukvyMiKN0N3dg1+HTsoWxE+2TX0XzrKiciqzz+plG2jldELrjbdRjvlht+e8Jz56VlVEaoXqs8qTnH62cFumzemsDOvt8hvXJspH12kDPPqU2EoRayFmaRI3Lg84+eekuPfAHQyJVBT5pRO07JjVthYkpL9Q1Ga69OBDgRAony782BYMax66krfD3aJaNnX0+po16zBfrfFFOuiiMvuvwaUPtA4C27gHRz8X5Gbp+L6XHUhsJQi3kLE3iJdcR3W5usc43tfeJbrRNz1Qh7fyTtZ4rrkynDZvvu0pkIythyQgH/ZLrSKTPFZVT8fp9VyHTadN9lVc4OlWkL1nj8qBJopJhlJ0sG20a7Yh1fsLoVNHDQI3Lg3O+oKGOayDAIQjx+8u6xypw56zxhqws75w1XrcSfcTIhZylCSyu3Qe7Vf/sRbljqVzWhiVzdNXPdNisUZJSi2v36R42k2trt1qwuHZfpG9e8kzPL3OqPVp7cdPeFkPmi9U2EIIooUlvjVCArQiyaW+L7vMld9zZ5xPZqLdGKBB+4NGzXi8xciFnaQKffn5G17BZvGt1esWVZnhnku60J7z6YQkx8zbqvfqI1fbTz89E2cg7k0T7THfamdqLnee3iJixsuQgfq8HXHAmevyeM522KEdZ4/Kgy+s3ZL7kjlk2luRniMLOWvocDIRDr3IFEQhCLYpy78eOHavqohaLBQcPHsSkSZM0DWq4YbdeKDQ+ENC34orcsZSK4jwceOpGTdqSQLjc3qOV02Tf+/AVXJSMTY0dsdpKWbeoDOsWlWnSlky1x9fQFCao6D1frLaxbNSiLTkQiK2h2dLplR2zHvOldB75kOn8ta7Ie341fcaqGkQQWlHkLLu7u/GLX/wC2dnZcdtyHIeHHnoIwWC06vpIJdaNwSiqtzYww09CbclXdoffbQqTWYTHQHiVVZyfGdEylOsrGcSzcXHtPjS392IgIC4aAFyo5sLvBX34utjyYcmwMVZCGD8f89e60NPvhz8YYs4jP5O5GU4sumpiTBs/benSaeTKiWXjnpWVkXKQze19kfqzUjsDoXDEoygnPa6YNkFoRfGu7m9+85vIy1P2JXzkkUc0D2g4IueM5G5uiZznj+MVi5bTltSiIs8XxNbTTiVt49nIcvBa7OP7MnK+YrWNBWsFpdXGsJgzexxGzW08eHF0vWwkCK0oemcZCoUUO0oA6O3txeTJkzUPajjhbu4wZF9cvGOtaL0BGZUEEuu8mfYB+lRcUttWWgLPSBtT7FZD54t1rLVCETlKwmwowcdgSJdwePSbLBvN/P6MBB1UgtCKpuKara2t+Oijj9DR0YFQSLxB+/vf/74uAxtODMUwLBBe9W5vaIP7SEfkRtnZ50NuRlhCZOLYUXE1CYGhG4blbax1H8XxM1+ip9+PFLsVaQ4bevr9KBydhpKCbNxaVqDIxqEYhgXCWawtnV7sOnwa2WkO9PuDGAyEkJ0Wrg+sRAMVGJphWJ7qrQ043dPPnMeZ47MxLjuNtogQhqLaWW7cuBEPPvggUlJSkJOTA4vlwpOhxWIhZ8nAhnDBcyDxTEKlmYblU3Jlx8PW0AxE/i2fdHGyewAHj5+NmyVaPiUXB4+fNSxjUu58LBtls36DochnLV1etHR5sa2+NWaWKN8XSyPUSDszGSogUhulWb98dSH+eCDAobOxDXWNbXGzRAtHp6Gly2vYfLGO4+3/lc36Fcxj+Lt3BrsOn8bM8dkxk9EIQiuqC6lPmDABDz74IJ544glYrUM/ijsUCqkXrbwgTcRBn8LX8a4lLPwthJWOr/TmFsuhFK3coXhsauyI1baFYaP0QUCtnbEcymUrdxg2X6y2WU4bU69UTkxbqQOWcyiLa/dh77Ezhs0X6zgzho2s7T9K7Iy3zYkYuZhaSP3LL7/EN7/5zYvCUQ4VCken6pYcoSR5Io2R/FK9tQFTV+3Aie4BDAS0a0su3bifuY2icHSqqQk+haNTo8Ywf60L92/cn5CG5onuAUxdFa0RCoBZNtBIOxdMH8e08ee7jsTU0Ixlc68viL3HzqCIoRG6ZXm5YfMld8yyseTJOqzbdUSzhqY/BKzbdQSlq3dqSpAiCBaqPd4DDzyA3/72t0aMZdiy6KqJpvZXlJMu+pnXXrRb9bkRsvQzzbZR2h+vvaiHhqbdasF79a1RN1rp79VIrEDUOzg+KqCH4wKiNUIBc2102KxMG/lVYqJ2+oOhKI1QgtCK6jBsMBjEP/zDP6C/vx8zZ86EwyEWGX7xxRd1HWCiDIUwLACUrt6JXl/Q8DCsFcDr910VCZUKtRe1XlOubeHoVFHIUs9wc6y20vCkVHtRrz5tEOtnups7cP/G/QipuKZWO6XhSaHmo54hUQ7AZsH3RU5z1Ygw7DWTx0bCwe7mDjz4xoHIKlHPPqUaocTIxdQw7HPPPYc//vGPaG9vR2NjI+rr6yN/Ghoa1F5uxPDyPbNNCcPOnTxWdOOra2wzLFR4sntAtDKZN3msKWHYl++ZHelzce2+KO1Fvfrk9TN5GyuK8zD3vI16zZdcW5aNevzuWOer326I9FVRnIfcdIeu88U6dljFRSP4MRjRp/D6BKEV1c7yxRdfxOuvv46mpiZ8+OGH2L17d+TPBx98YMQYhwUVxXmYPXGM6ndMas47bFbmDchIhH1sWV4Oh82asB2x2mY6baIVgrSgulk26jFfcm1nTxwjeuA5ePysofZ5fQGRisu6u8uiNEK1zpfc8dWXXag37W7uQJek+L/RNhKEWlQ7S6fTiWuuucaIsQx7tiwvx4Q4yT5an6DT7BZR2G5x7T7NSSBq2nZ5/aKb0KE1CxUl+2hZNRSOTo2yUWsSiJq2nV6/aAV9aM3CSLKP3nbeOWu86IHnkTcP6jpfcuc/PnZGtIKWaoTqubJk2aj395J1vPeY8Q9WxPBFtbN89NFH8fLLLxsxlhHBnpWVkU3/euGwWaMkpRpbe3QNm8Vq29jaE2Vjqt0CPWFt6Whs7dE9PCjX9oW6JlHfemuEAmztRe/5/YVGhUT5v1PsFpGNRmiEAkDVzAKRjTUuD/zBkCHfS+kx3x9BaEF1gs8dd9yBDz74ADk5OZgxY0ZUgs+2bdt0HWCiDJUEHynChA1Ae8JIltMWpS8pl6Sh9Jpa2pbkZ4jU6N3NHXjkzYOySU1q+ky1W9D0TBWEVK13R7aImGXnJkEiDG/jso37Iz8n0ucESbIUb+Ph9j5D5kvuvHR/bvXWBmz/31b4Q4n1aQVQwLCx5Mk6UVKPUXbyx2mM7xIxcjA1wWf06NG48847UVFRgdzcXGRnZ4v+EMrYs7ISP1wwDTnnkynUrgQynTZcM3ksDq1ZGJXlt70hflKP3k/wvb6AaAwVxXk4tGYhqhdMg8OqPQmkesE05s2t1xcwZPURq+32hrYoG1vW3ox5k8eKQpZq+sxJd+CHC6YxCyH0+gKGr7ikn0lZt6gMnudujvv6INY1S/Iz8Pp9V8kWezDyexnPPoJQiqZyd4Q+CLUlX3IdUfRvrABmTxwTs6RXU1uPTiNUTk8/O0FDqC3Z2NqDgUB8nVOHzRq3bJlcf0Yi93sVakvG0mcUYrciroZmMmyscXmYYxJqSza19ym6VrrTjoevky+TmKyQqJyNBBELTYXU9eLVV1/Fq6++is8//xwAMGPGDPzkJz/BTTfdBAB4+umn8dZbb+HEiRNISUnB3/3d3+HZZ5/F3//93ydx1PojdJp1h9oiqzRhUXNAeUHsk93sot9yx3q0jecEeYfCF8RubO2JFP122MJFvyeOHaW4IHavL6hovHraebI7duF2fuVUvbUhIqQsLfq9YPo4FOWmK7pZ8yFsI+ZL7vy+o52yY+O1JfkC/E1tPTjZ3c+cRyUF+Pcd7TT8e8k6jmUjQcih2ll2dXXhJz/5CXbv3s1UHTlzRnnGWWFhIdauXYvLL78cALB582bcdtttqK+vx4wZMzBt2jTU1NRg8uTJ6O/vx/r163HjjTfi//7v/3DJJZeoHfqQR06QWS3ZaY7owtMxjuOdV9JWKXopQygdr5KxK23Lq3iYaaNR8yV3XokUmZwgs1rGZacZ/r1kHSdLbo24uFHtLL/97W/j6NGjeOCBB5Cfny9SHVHLLbfcIvr52WefxauvvoqPP/4YM2bMwD333CM6/+KLL+K1117DoUOHUFkpr54w0un3xw916k0gxJnen9laiGb+XpNV01SJ7NnF2NdQ6Je4uFHtLP/85z/jz3/+M6688kpdBxIMBvHb3/4WXq8X5eXR76oGBwdRW1uL7Oxs3fseSvAhLiD8jqykIJw0pTR0BwCDgZDpYVi1Nta6j2JcdlrkxjUuO02RriRPIBR2mGba6bCJoyix4DUmhfad7ulXLB9VUZwnOw4jw7BqqHF5sO9oZ9Q8qllZJyMMSxBaUO0sr7jiCvT36/dk1tjYiPLycgwMDCAjIwPvvvsupk+fHjn/+9//Ht/85jfx5Zdf4tJLL8WuXbuQmyuvY+jz+eATbN04d+6cbmM1kvlrXejp90eFT1u6vJHjV3Z7kO60Y93dZTGdylAMw/LJIc3tfUiRuU5dYxsGAxyK42hLAkMzDFvj8mDr/uPo7PMxrhPW+yx5sg4OmxXZaY6Y2pK8jUMtDFvj8uCV3RcSc1jX3Fbfipx0B4rzM2M+HFAYlriYUL3Pcv/+/Vi5ciV+8pOf4Ctf+UrUPku1e1cGBwdx/PhxdHd345133sGvf/1ruN3uiMP0er04deoUOjs78e///u/44IMP8MknnyAvj30jffrpp7FmzZqoz4faPkseqbit0ptCUU66rENZXLsPHx07Y+o+SzldQkC7hmYsbUmlhen1tHOeoPC3EK0amrG0JXkbz/mCSd1nyaNVQzOetiRffN+o7yXrmKWDSowMEtlnqdpZejwefOtb30J9fb3oc47jYLFYEAwm9l7nhhtuwJQpU/CrX/2KeX7q1Km4//778cQTTzDPs1aWEyZMGHLOUk4NRO1NYbqkGABwYbO8mStL1naWqvVuNLf3IajADrljG4Biho2La/fh4PGzpq4sWcoVvNOWs0OpnXcJ1E2ENu49dsa0lWUgxMHznNiRuJs7UP12Azq9/oQcV6rdElW9BwDm/PR9WQdsxNzmpDtw4KkbQYxMTC1KsHjxYqSkpODNN9+Ey+XCBx98gA8++EC3Quocx4mcndrzTqcTWVlZoj9DDV5fkr+JpNq1byJv6fJi/lqX6PoVxXmwm6zNvbxiiujn+WtdaOnyIkWhHXLHKXYLmtr7ovQzpf0ZTbrTHuUo5691RSICSudL7pilEWq2jaww84NvHIBXpjiCGpsBMDVCi/MzDbZKjNn9EcMH1e8sP/vsM9TX16O4uDjhzletWoWbbroJEyZMQG9vL9566y18+OGH2LlzJ7xeL5599lnceuutuPTSS9HV1YVf/vKXOHnyJL7xjW8k3Hey4LUXAX0SMgYCHE52D2Dqqh2iVcG4rNSY/ajpM17bwtGpIkfCKuWXaJ/b6lvxaUtXJCxbUZyH3AwnTnQPJDR2pW2XzSuCkKmrdiAQ0rfPd+pbAVzYesI/9Og9X3LnH77ugo28vmR/gIusFvXo8/6N+0UaoVuWl2Pqqh2mJfgoTbAiCCmq1x9z5szBiRMndOm8vb0dS5YsQXFxMSorK/HJJ59g586dWLBgAWw2G/6//+//w1133YVp06bhH/7hH/DFF19gz549mDFjhi79m02Ny4OT3QMJrUTkzgdC4bAnz56Vlch02hK6ppK2mU6b6L1i1Xq3SHtRzz47+3xRNtoSGLvStllOm+idW9V6NwKhxOZLrm1dY5uoss2jldN0nS+58yX5GSIbH3nzIADo3ievESq1Ue/vJet4en4GCEIrqleWjzzyCB599FH86Ec/wsyZM6MSfEpLSxVf67XXXpM9l5qaOuSKsidK7Z+OGnr9li6vqJTXgunjsK2+1dAV14Lp4yL917g8kexdo2iWlFobk+6IaCEaZWfVTHNtrP3T0cgcrqicik17W9Dl9Ru2sgyEODxeVRLpv2q9G/6g8m0yeti4ftcRQ1eWditENhKEWlQn+Fit0YtRi8WiW4KP3gwV1RE+/MpB3+xF6bHdClE4tnprA7bVt0beG+mZSCHNVuVDk3JjU2NHrLZShQ4+21avJBBhW2lSijD8qsd8ybUtZNjIRyX0THwZDHB4XaKmctnKHbrOl9zxDxdcyJLlVWr8wZDuCT6ZDGUeYmRiaoJPS0tL1J9jx45F/iaicTd3oLPPp2vYTO7YbrWIVe8XlaFwdKruNkkdpbu5IxKaNDIkakG4Zq4wUcQIjVAgWntxce0+2K36zpdc29PnBkRjMUIjFABunzVe5EQW1+4zJSRqAbBpb0ukX14/U2+NUCtAjpLQBdUry4uNobCynPPT90WhQiNXlkD4BnFUspcs1spW7aqBpb0456fvJ7y9QE1b1haAeCtbNX1KV3YAMGXlDoQk7Yy0U7qdRJp0o+Wasa7P25jIVh+1be9k2MhrsSbapxUQJRMRhOEry+3bt8PvVy4XVFdXp2uVn4sd73ntRTNWlql2C1hvm/asrMSm+67SrC1pQTiZ565Z45mFAvTYXqCmrVeinwmEw893zhqvWVsy1R7W0Nwko70YMmi+5NryyiU8FcV5aHqmCtPzMxL63eWkO7D5vquinEj11oaEt/qobcuy8fO1N6MkPyOhPkvyM3B07c3kKAndUOQs77jjDnR3dyu+6De/+U2cOnVK65iGHWYXGQfYhbgrivPgee5mzJ44RnW4q3B0Kg6tWci8+SSr6Der33WLynBozULVoWeHzYrZE8fA89zNzJBdMmyUK9xe91gFNiyZg6KcdFXX4zU0Dzx1I9PGZBQYj2Vj9YJpSHeqy0FMd9pRvWBaVBELgkgURd9EjuOwbNkyOJ3K3gsNDAzEbzSC8IcuOMxEs/qUZgjWuo/Kvqfh95pVrXej1xdAW/eF+RK6db4cWzxtwlr3UcP2xcVqG8tGXqy41n0Uja09kexOoVoJX6M102mPe3OtdR81dL5YbfnQPQteJkuogcrvqxU+nNmt4ffLSrRQw+LcxhdvFx4PBORtFOq88u83+YiCcB7TnXakO8N7YUmnkjAKRc5y6dKlqi66ePHiIVk5J1nwISIg8exFpRmCSopF6/X0zRfE1jNLU0nbeDbqpbvI98WaRzPsjIVeGqhAuIKPMBtVbzu02Ke3jQShFUXOcuPGjUaPY9hCuoTDo99k2ehu7jAtk3Mk6KAShFZMriA68qgozhOEnLi4x4me54+1otW5qxmbXm3NtA+AofMl95kWR6nVxsFAyND5Yh0HNNY+SNZDKDFyUV3Bh1DPUA3DCt9ZpjCu47BZFb2zHKphWOk7S+l1Mp02xe8sh2oYVvrOUvrvAyEO47JSFb2zHKphWOk7S+l1ctLDVcTonSVhJOQsTUDP5Ail17q1rEB2PFINTbmH+15fEAePn8WDbxyIqS15a1mBorJ6WuyI1TaWjSwNTSn+YAidfT6c7B5A6eqdMbUlby0rwDv1rYbNF6ttLFgamiwCoXARh7rGNmz/39aY2pKZTntkL64R88U6jjV2OQ1NKfz5V3aH25PTJIyAnKUJZDltkWxMM1aWgzLhO5YotNKb24nuAUxZuQNjGMUAKorzkOm0RZyvHnbGa+uwWaNsdDd34Ml3G9HWPRC1sT6enb2+IPYeO4PLVu7ANQyR54riPNiAqBW4kXaytobwhQm0Oq51u47gJdcRXH1ZtI1VpQVo2e0xdWXJsrHG5UHtn45GCV8rsXMg4MfPdx1B7Z+OYvnXppDTJHSD3lmaQOHo+CFRPUl32qI+m7/WhYPHzya0iTzFbkGX1x+lnwmYbyOrvwffOIDOPl/CG+sPHj/LtJH1ezWSqlLxypmvn8o7GiU2sT6zWy3Ye+xMlH7misqpupebiwfLxvW7jsAfDCVUlMAfDOGV3Z4oGwlCK5rK3blcLrhcLnR0dCAUEgfxXn/9dd0GpwdDodydu7kD92/cjxASLxUW7zwAzJOsjPQsA8f/nWq3YMOSOZHVnbBMmZrraGlrA0TFv5WWgVPbp7Ss3+Lafdh77Iyqa2q1EwBaBCUL9SwDJzyWlvVjRR/07pM/znLacGjNwkjf1Vsb8F59ayQqoFefrLJ+xMjE1ELqa9aswY033giXy4XOzk6cPXtW9IeIpqI4D3Mnj9W8ElBzPifdIXKU89e64hY41/IED4RXckIbc9MdCa14lLadO3msyFFKtRf16rOzzydaYW5ZXo6c8zbqNV9ybedNHhvpl7dRj9+d9Phk94Bo9bVleXlCJRHVtH35ntmRfqu3NqCusU0UFdCrz7rGNlphEgmj2llu2LABmzZtwieffIL33nsP7777rugPwYZ3YBferei/dWQwwGHZvKJIn9VbGyJJLkYwEOBEN6Fl84owGGPsauyM1Vb4MPDku42Gai929vmYNuoxX3JtYbKNuw6fFm3FmHpJhq7zxTpOtVtE75zrGtsMs49lI0GoRbWzHBwcxLx584wYy7Bnw5I5sMG4leXts8aL9AHfO5+9aaTjeq++NXITWlE5FbfPGm/oiuuuWeMjv093cwdOdA/oehNntd1W3xrpk7fRqJVlptOGDUvmRPpbXLsPJ8/baITj4hBObuJX50C4slPh6FTDVpYsG/vPj8soO6U2EoRaVDvL73znO3jzzTeNGMuwp6I4D7cLbvZ6Ujg6VfRe5oW6JqToHDZjfZZit+CFuqZIv+sWlaFqpvyWjkSQ6ku+UNdkSHhQ+hkQztAU2miERihLe7GxtcfQkCj/tz8YEtlolEaow2Zl2qj395J17PUNLWF64uJCdYLPo48+it/85jcoLS1FaWkpHA6H6PyLL76o6wATZSgk+EiRJjIAiSWMsLQXWWr3aq6ptm31AvH+PV4/U68+pUkaNS4P1u06YkjiCautwxqWABMyf60LJ7oHdOnThmjtxRqXBz/fdcSQ+WKdtzNs5JPD9OpzsyAxC9BXZ1VJW5YWKzFyMDXB59ChQygrK4PVasVnn32G+vr6yJ+Ghga1lxuRrFtUhtfvuwpp5594tYZhbQg7Kel//hqXx5QVl/C47pD4ndOelZWoXjAtIW1JC8JhyR8umBaVzVh3qM2Q1YdcW7vVIlp58TZecz5xK5E+0+wWvM7Ql6w71Gb4ikv4WYjxWtTz3M2YN3lswn0Wjk6NcpQA0NPvN/R7KT3u6Veuy0sQQlQXJdi9e7cR4xhx8EK+fDWdgYC6EFFRTjoeryphFh9o6fTqNUzF9DLEmHm1CGE1HTWwVsyx+jMa1u91y/JyUTUdNfDlBOWqBplto1wK0Zbl5aJqOmrgNTTligMYmbg0FPojhg+a9lnynDx5EhaLBePHG/MeTg+GYhiWxfy1LvT0+6OqlgiP0+wWpDvtWHd3WcxaraWrd8a8jhHhLkC8L1AK71Ca2/tgtYY1PqXXsVuBUAgozs+QfRDgKVq5Q9F49bQzU7IvUEqNy4Ot+4+js88X2fPJmkNeRzNeOLBo5Q7Dw5PSz1jVi6Q2vrI7vMIeDHDMVwkAkJPuQHF+ZsxrsfatGmWn8Fi6D5kYOSTiD1SvLEOhEJ555hmsW7cOfX3hJ+nMzExUV1fjxz/+MaxWKgqkBdaNU6s8U3aaw9TSc0qQ05bUaqPS8eppZ3aa+P28FDndxURsNGq+5M7HK06vp418AX6tY9faVonIAEFIUe0sf/zjH+O1117D2rVrcc0114DjOHz00Ud4+umnMTAwgGeffdaIcY5ItOoYXky6hFptDIQ42K3KHLVeaP29mimzlShadTu12DgSdFCJ4YNqZ7l582b8+te/xq233hr57Morr8T48ePx0EMPkbMcAgwGQpH9ZQDiHuvR1mwCobDDNNNOh828910VxXmy49DTZulnZmP093KofF+Jix/VzvLMmTO44ooroj6/4oorcObMGV0GNVIRahMC4eoxwr1uSjQJgaEZhuWp3tqA0z39aGztQXaaA/3+IAYDIWSnOTBx7CiMy05TZONQDMMKbfy0pQtAOPsyxW5FmsOGnn4/Fkwfh6LcdEVqGEMxDAuEV73bG9rQ1NaDk939zHmMp4EKUBiWuLhQ7SyvvPJK1NTU4N/+7d9En9fU1ODKK6/UbWAjiRqXBy+5jsBujf5PL9Rk7Gxsw3v1rZirIEHB7JWlPc6raqmG5kCAE8mW8dqSA4Ez2HX4dMwsUSC8quT3/w2VFTRLQ3MgwCE1GIpoLvJl3V5yHYmpLcnbaPbKsig3WjKLh6WhyZrHk90DOHj8LNKd9pjakkW56UlZWcaykSDkUJ0N63a7cfPNN2PixIkoLy+HxWLB3r17ceLECdTV1WH+/PlGjVUTQzkbtmq9G54v+kSbvvm/IXPM/21FWDKKlZ1ZvbUB2+pbTV1ZyolDV61343B7n+bsxen5Gah7rCLqurxjMnNlKa0gBIQdSPXbDTjr9WsqMmG3hmuxytl4snvA1JUlK6PZ3dyB72zeH1O5JpbNWU4bFkwfx4wYlDxZp3nsWts2PVMVNQ5iZGBqUYKKigocOXIEd9xxB7q7u3HmzBnceeedaG5uHnKOcigzf60LTe19sFu1bSJPsVvQ6wuidPXOqGSQZMgRXV2UI/rZ3dyB0tU70dLlTWgTeUuXN3JDjdWfGbAc5f0b98PrC2jW0LRbLWhq72PqZ5ptIyukXr21AQ++cSCuck0sm/3BEOoa25g2GlFSLxZm90cMHxLaZ3kxMNRWlkKleyVP5UrOWxFdKi2ehqWaPuO1lZZJU6JtqbbPNLtYP5O3kbVf0wg7pWXSYpUs1Nonq9wcq2xhovMld15aBKJ6awPeqW/VtU/p7zFW2UI97eSPf7ggduibGN4YvrI8dOhQROT50KFDMf8QseE1IJU+lSs5n2K3iNQ/AODRymmaVwJq2z5aOS3Sr1R7Ua8+AeCRNw9G2Zjo2JW0tUG8D5ZXdJFbTWrtMxBC1Opren6G7vPFOp/ptEU5yrrGNt37lGqErqicipL8DEO+l9LjLKeNHCWhGUXOsqysDJ2dnZHjWbNmoaysLOrPrFmzDB3sxc7i2n2KEkW0EAJQ/XZD5OcVlVPhsFlFyQ9yx/HOx2rrsFlFN6DqtxsMKynmD4aibEQCY1faNt1pE42j+u0G2dJwidLZ58Pi2n2Rnx+vKonSCE1kvuTOzxyfHenT3dxhqL4ky0a9v5esY6GNBKEWRc6ypaUFl1xySeT42LFjaGlpifpz7NgxQwd7MVPj8mDvsTO63dxYx11ev+ip/dCahbKFzPVacQkTjOavdaHL6zfUcXV6/aKC5tULjF1BS0vc8TbqMV9ybfceOxOxsaI4D4+dt9GolWVJfoYo8/g7m/cb7rg+OnZhm1lFcZ7hK2ipjQShFkXOctKkSbBYwsGwv/3tbxg/fjwmTZok+jN+/Hj87W9/M3SwFzOb9rboGjaTO+7s84lClS/fM1t9FpdCpNqcp88NGOq4+ONNe1sifa6onGqYfiavvcjjbu5AZ59P1/mSa2uWjal2iygT193cwUzmMSLcLVxd1j1WYVjyTW6Gk5ltTBBqUH0fve6665jFB3p6enDdddfpMqjhRo3Lo1qtIRGEYsy84LQ0lJfIqmEwwEVto6hxeSIJRUbj9QWixJirZhbovsqTihQLf69Gc9YrlpLiBaf1XOUBwIYlc0T9mGljY2uP6GdecFrP1azdyq67TBBqUe0sOY6LrDKFdHV1IT2dNvuyeGW3R7cQlpIbyGGJVBSvn5mT7kh49eOwgqm9+Mpuj+6hulhteeULoY13zRqPTKct4RVPTrqDqb14uL3PkPlitQ0ivEdVyJ6Vlbhz1njYVMxXrGSXpmeqRDa6mzvQ1N5nyvtDDkCvL8i0kQ/JJrqaLcnPiMouJgitKK7gc+eddwIALBYLli1bBqfzQsgkGAzi0KFDmDdvnv4jHCak2sMPGAMBfTeRyx1LqSjOw4GnbtSsLQnE1tAEELlJ6WGnkrZS1i0q06wtyRNLQ5Nln5F2svQs1y0qQ1FuuiZtSSC2hub2hjbZMesxX6xjlo11j1VEqlppIZ6GJkFoQbGzzM4OZ5JxHIfMzEykpV2or5iSkoK5c+fiu9/9rv4jHAbw2oaA/uXJ5I6rtzYwixPsWVkZcSj8SinWdQIhDtlpDjx8nXzZsuqtDarGpldblo28FBgvVtzTH52Mw+on3oNA9dYGQ+eL1bate4A5Fl4mi3cogwEOoTjXTLVbYj4IAID7SIfsmI2a23g28mUS+wPBuH3GE9MmiERQ7Cw3btwIALjsssvwwx/+kEKuKtBzxaV1ZSlEqi1ZvbUhctzU1oOSgvCDkZpKQEauPpSuLIVIdRf5Au5AuID36Z5+lE/JVbX6MHtlmRLHTqmNi2v3RWzj7VRatB0A0hw2pNoDpq4s4yF0fHwBd+k8KinaThCJorqQ+urVq40YB5FEklEez2xGgo3DfUUlJyBOEGagyFnOnj0bLpcLY8aMwaxZs5gJPjwHDx7UbXDDAXdzh64hLKXXamoTZxoaSVNbT1LCsGbbaHYYdiDAwd3cYZqD4AvTmxmGjR0DIYihgyJnedttt0USem6//XYjxzPsqCjOS0oYlg+lKiHRMGxJQTZaurymh2HV2phIGLakIDtKmsroMGyq3aLKUSYahs3NcMoquSQrDCuEwrBEMlHkLIWhVwrDqicZK8t41Lg8ke0X0ptYS5cXALCtvhU56Q4U52fGDfElY2UZj8W1+9Dc3osur19yEz+LgQCHg8fPRn4HSrInzV5ZDiqwc/5aF3r6/fAHQ7KO65XdHuRmOLHoqokxbez3B01fWcbbu8YnozW390Xe4bLmcTDAoTg/I2aSFkEkgmrVkRMnTsBisaCwsBAA8Omnn+LNN9/E9OnTsXz5ckMGmQhDQXVEKDFl1sqSpUsIhG+up88NqNLQ5I+nx7gZlTxZZ/rKkqVLKMz0ldoRz067FRiXJZ8xWrRyh6krS7nsVT7TV05DM5bNWU6bbMYoXzzdzJWlnA4qn+mrRTnHbkVcYW1iZGKqnuU999yD3bt3AwBOnz6NG264AZ9++ilWrVqFf/mXf1F7uRFBulN1HlVC2Bmz6m7uwJyfvo+T3QOqNTT545YuL76zeX+UfiZgvo2s/qq3NuCRNw9q1tC0Wy042T2AOT99n2kj6/dqJBPHjor6rHprA9bvOhJTQzOWzf5gCAePn0Xp6p1R1761zJiSerFg2Vi13o1Xdns0a2gGQuEiGdKCBwSRCKr/+3/22We4+uqrAQBvv/02Zs6cib179+LNN9/Epk2b9B7fsKA4PxMDAfMq+KQ5JCoZWxtw/8b9ogLgaq/JH/tDwP0b94vec/I2qrlOom2L8zOjbHynvhW9vmDCfXZ5/Vi6MfqhIM1hM2S+5Nour5gi6n/+Whe2ndfQTPT3fM4XRMmTdSIbK4rz4LBZDZkv1vFggGPaKN3/q7XPpvY+TF21AwShB6qdpd/vjyT7/M///A9uvfVWAMAVV1yBU6dO6Tu6YcKW5eXISXeofkLWcj7Vbokq/s1rLyZyTWHbFLsFdY1tIoe5ZXk5HFb9i22zPstJd4jCiFLtRb36lOpnvnzPbEPmi9U2N90RtRf2ZPdAwr874TFwQV9VaKPe8yV3PHfyWJGNfHUpPftkaYQShBZUO8sZM2Zgw4YN2LNnD3bt2oWFC8PyRW1tbcjJydF9gMOFZfOKTFlZ5mY4RTegR948aJj24nv1raKfx2WlmrKyXDavKNJnjctjmPaiPxjCI29e2ApVUZyH3AynKStLs2wcCHCicGVFcR7sVnNWlsIHnqr1bs1lGOPR2eejkCyRMKqd5QsvvIBf/epXuPbaa/Gtb30LV155JQBg+/btkfAsEc2KyqmYN3msoSvLnHSHKFmidPVO9PqCht3Qg+f74NmzslK3FXSsFZcwcWPdriOGOuheX5Bpo5Ery3mTx0ZsdDd3YP15G41wXByApvY+kVzWr5deZfjK8prJYyP9uZs7NBWpV9NWaiNBqEW1s7z22mvR2dmJzs5OvP7665HPly9fjg0bNqi61quvvorS0lJkZWUhKysL5eXl+MMf/gAgHO59/PHHMXPmTKSnp6OgoAD33nsv2tqMU3A3mi3Ly5Fqt8RvqAErgHV3l0V+rnF54A+GDHVcfMKISC7r7jI4bMZkwjhs1igbkcDYlbb1+oKicay7u8wwjdDcDKdoxfVCXVNUCF1Px8X/LZTLqijOM0w/U85GM0K/UkkwglCDpv/zNpsNgUAAf/7zn/HRRx/hiy++wGWXXYa8PHX7mwoLC7F27VocOHAABw4cwPXXX4/bbrsNf/3rX/Hll1/i4MGDeOqpp3Dw4EFs27YNR44cibwjvVjh9QP1DMMOBjjcPmu8KPwqFA82GmFfFcV5ePme2bqv8oBofUmzbAxBLFQs1AjV006W9qLnC23qKWrxB0MiG6UaoXqt8qRbRdzNHZF9vUbT6wsys5wJQgmq91l6vV488sgj+M1vfoNQKPw2zGaz4d5778XLL7+MUaOiU8HVMHbsWPzsZz/DAw88EHVu//79uPrqq/G3v/0NEydOVHS9obDPksX8ta5IwgYQvqGk2tXv28t02qKcCABctnJHJImDg7q9eFra3jlrvKjij7u5A4+8eTDmZvlYdkqPpXsqq7c2YFt9qy5jV9LWBuCoZO+qu7kD92/cz9gsr95O1p5KPsPXiPlinbcybIy191Ktzaw9lXN++n4kS9tIO/nj3HQHDjx1I4iRian7LH/wgx/A7Xbjd7/7Hbq7u9Hd3Y3//u//htvtRnV1tdrLRQgGg3jrrbfg9XpRXs6uFtPT0wOLxYLRo0fLXsfn8+HcuXOiP0ORPSsrUZKfkdA1Mp02HFqzMMpRVm9tMCR7Mdb5T1u6RGOoKM7DoTULUZSTmDpNUU46s/jApy1dhoTq5Nqm2C1R22UqivPw+n1XJbzHtCQ/g7kx/9OWLsPDk8LPWIlg6xaVYcOSOQntMXXYrKiaWcC00esLGPq9lB5r0QAlCEDDyjI3Nxf/9V//hWuvvVb0+e7du3H33Xfjiy++UDWAxsZGlJeXY2BgABkZGXjzzTdRVRV9cxwYGMBXv/pVXHHFFfiP//gP2es9/fTTWLNmTdTnQ21lySOtOKPkCTo33YFl8+T1JeevdeFE94CpK0u7FbKq9KyKM7H6sQEYE8fGqat2iKoQmWFnLD1IuYozsfqJVRGJt9EfMnbFJf3shwvkK9/w2pLnfEFF14xXEanG5cG6XUc0j11r2+oYNhLDm0RWlqofib/88kvk5+dHfZ6Xl4cvv/xS7eVQXFyMhoYGdHd345133sHSpUvhdrsxffr0SBu/349vfvObCIVC+OUvfxnzek888QR+8IMfRH4+d+4cJkyYoHpcZiGUHapxeVB3qC2iHt/Z50NuhjPS9uqiHMXFzfknakB72ExN21gIdRf5guaNrT3ITnOg3x/EYCCE7DQHJo4dhXHZaYpstFstkS0OQ8FOqY38Srun348UuxVpDht6+v1YMH2c4uLmdqsFgZCxpeekn7V0yr8/5JNy+ILmTW09ONndz5xHJcXNWzq9hs8X6ziWjQQhh2pnWV5ejtWrV+M3v/kNUlNTAQD9/f1Ys2aNbPg0FikpKbj88ssBAHPmzMH+/fvx0ksv4Ve/+hWAsKO8++670dLSgg8++CDu04DT6YwUTbjYkIr5DkdGgq7kcLeRdCWJkYhqZ/nSSy9h4cKFKCwsxJVXXgmLxYKGhgakpqbij3/8Y8ID4jgOvvNhTN5Rejwe7N69m4oeKKSzzxfJQgT0VYmIdd5M+gNcJPxmlp1GbZpn4W7ukB2HnjZLP0uGDqrWsWtta6aNxPBB9Wv7r3zlK/B4PHj++edRVlaG0tJSrF27Fh6PBzNmzFB1rVWrVmHPnj34/PPP0djYiB//+Mf48MMPsXjxYgQCAfzjP/4jDhw4gC1btiAYDOL06dM4ffo0BlnvCochWtPcczOcpif4pCkIx+ppY5rC8epppzAkbrSNFcV5piS+SD9ToxGaqI0lBdmGfy9Zx1ptJEY2mtL40tLS8N3vfjfhztvb27FkyRKcOnUK2dnZKC0txc6dO7FgwQJ8/vnn2L59OwCgrKxM9O92794dlWB0scO/rxTuORO+bwmEOIzLSlX03rKn32/qikuNjfzeSF5jUmgnn1UaK7GHR+l49bSzp98f10b+feXpc2F1F9YWkUynHVWlBYpsNHtlyQsrx6JqvRu9vgB6+v3o9QWj5tFhs2Lm+Oy47y1P9/QnZWWpxEaCkKI6GxYAmpub8fLLL6OpqQkWiwVXXHEFVqxYgSuuuMKIMSbEUN1nySPNMOQQP+vPYQWmXiKfScnvQTQz8UVOlxDQpqEZL5OSL7ptVBII67OqmQXMBxWtGpqxtCV5G7XsxVXTVvqZnA6qVg3NeNqSvNarUd9L1jFrKxIxMjB1n+V//dd/4Stf+Qr+8pe/4Morr0RpaSkOHjyImTNn4re//a3ay41Y3M0dKHmyDgePn4U/GFIVNrNbLWjp8uL+jftFpeZ4inIT29uohUzGXsMalwelq3dq0tDktSVLV+9k2sjqz2hYv9fFtfvw4BsHNGlo8tqSUqksHrNtlLsZLK7dh3UaNTR5bcn5a11MG40qjSiH2f0RwwfVK8vJkyfj29/+dpTQ8+rVq/HGG2/g2LFjug4wUYbiyrJ6awPeO69LqGYlIneetf/P7Ao+0r1r/KpIrz7vklQI4vfo6TF2JW0djH2kSvazKu3TBuB2ho0/33XE0P2H0lWg1Ea997Nuvu+qKFmuk90Dhn0vpccTYuyVJYY/pq4sT58+jXvvvTfq829/+9s4ffq02suNOPjyYXJP6Gqe2vnjzj5flGbf9PwMQ5IjWJ+V5GeIHKVQe1GvPqX6mSsqp6IkP8OwJBDpZ49WThP9fqXai4n2mWK34L36VtHqa0XlVGQ5bbrPl9x5lo2BkL59SjVC96ysRKbTZsj3UnpsQ3TtXYJQiibVkT179kR9/uc//xnz58/XZVDDFV6I2QhOdg+InMnjVSUYDBivLTkY4PB4VUmkX/5hwAikDvPxqpKExq60LQDmw4DehBDtTGaOz9Z1vuTOO2zWqMiAEVtleI1QqY16fy9Zx+lOm+72ECMH1WHYDRs24Cc/+QnuvvtuzJ07FwDw8ccf47e//S3WrFmDgoIL0j5DQSFkKIVhS56si+wPBBIPm7FCeY8JwqFKi2AnkkghLKBe4/Jg/a4jCCVoR7y2nwuSUIQ3daPsFCb28DYqKdun1c5UuzgJRZrMpHeCj7QYf9V6N5ra+3SbL9ax1EY+0UfN2NW0ddisTMEBYmRhahj2oYceQmdnJ375y1/i3nvvxb333otf/vKX+OKLL/DQQw/h9ttvx+2334477rhD7aWHNbz8kZ5hM1YoTyhbtW5Rmea9gUpItVtE79g27W2J0l40IiQqlJJ65o6ZhiZt5GY4mTbqMV9ybWGyjQumjxM5Ec8XfYaHRAcCnGh1aaR+JstGglCL6v+BoVBI0Z9gMBj/YiMIs4Rnvb6AKHt0z8rKSA1VPcOTwAVtTp6z3vj7EPVAKlT88j2zAUDx2JXaKd0OU+PymKZawbLRiPBk4ejUqKSiAEt+xABeqGuKHPP6mYMJzJfcebktPwShBk37LC8mhkIYNl5mqPBYjxAXK6sx1r5EteEuVvat2UonrDGwQnla7WTtG+UzQ9XYkYidUgUQXiOUVQhAi81SDVLeRqOVToTH0ixqoUaoHmFYcpSEEFPDsIR6evr9uoWwlIS4QoyVwZ6VlZg9cUzCtuSkO5gZhT39ft1DdbHasqrpbFgyR5ew8+yJY5g2hkLGzJdc27pD4kQpfoXJO4JEmDd5bJQTqXF5YLcaM19yxywbH1swLeGws8NmxcPXTSVHSegGrSy1omJlqeeeR6VP7dL9bDxqtSWFq1W5Sizu5g4s27jfsNWH3PlNMWxUqy0ZT0PT3dyBpRv3GzZfrLZpdvlqM2q1JfnPYmlo8ok9Rs0X6zg1ho2syk/x+oxX+YkY2ZiqZ0moh78pAPqXJ5M73t7QxrwhCmXA+Bqfbd0DSGFcR2mNz+0NbZrCuYm2jWeju7kDte6jaGztgT8YirpOptOG7DQHMp121D1WIWsf3xdrHo20MxZ8iTyhBiqrNJ6amsK9voDsmI2a21jwDk9YU9jrC0RdJyfdAUBZTWGC0Ao5yxEMy0G4mzuGTdYgS3dxONkHsDVQyUaC0B/VLwauv/56rFmzJurzs2fP4vrrr9dlUMMJd3OHrtmLSq+lVbNPyw2I1yXU004lbbXYqPUG29TWY+h8yX2mVd5LC3wCmFHzxTruj7OC1ttGgtCKamf54YcfoqamBrfffju83gtyUoODg3C73boObjhQUZyna3KE0muZqdnH6xIalQQid95sG42cL7nPzHQKuRlOQ+eLdaxVB5UgzEZTGPZ//ud/8L3vfQ9z587F7373O1x22WU6D2t4wT9FKzlO9Dx/rESzz93cge0NbXAf6UCaI1wKrLPPF8konTh2VNz3lcAFXUI97VTSVqmNte6jOH7mS/T0+5FityLNYUNPvx+Fo9NQUpCNW8sKFNlo5HzFahuPGpcHLZ1e7Dp8GtlpDvT7gxgMhJCdFn6Xp+R9JRDOaJYbh1Fzq5TqrQ043dPPnMeZ47MxLjuNMl8JQ9HkLC+99FK43W7cf//9uOqqq/Db3/4WJSUl8f/hCMVhDctqAeYl+CyvmCI7HraGZngrBgdE9oSe6B7A3mNn4mYYLq+YgoPHzyoem14JI7FslNXQ9AUBhMWxm9r70NTeh3fqW+NqSy6vmIK9x86YmuDDJ66wkNPQ7PUFRcccgJP1rdhW3xpXW3Lm+GzZeTRqbtNjyJDF1NAUzOPeY2fAAXivvjVmRjNBJILqMKzFEv7KOp1ObNmyBY8++igWLlyIX/7yl7oPbrjAO0ozYa2U3M0dmLpqh2oNTaG2pLCQeay+zEBO+FqLhiavLTl11Q7me8Jk2Miv9qVUrXfH1NCUs5nXlpzz0/eZNo7LTjPSHCaxbFSroZlit8DrC2DdriOoWk+vhAh9Ub2ylG7LfPLJJ1FSUoKlS5fqNqjhRrrTji7vhZWb0WFY1hOQUDcwENIWNuv1BfFOfSs+bemKWmWmO+3oD/hNC8OyVl3SCjta+1y2cT+zQpBVwzUTsfPqohxR/+7mDjz4xoGoYvxq+x8I+LF04/4ojdB1i8rwXn2rqWFYlo38ftZE+mxq78OUlTuiNEIJQiuqV5YtLS245JJLRJ/ddddd+OSTT/D666/rNrDhxLq7y3RLjlCSPDF38lhR/3ypO72SN1j6mevuLjM1wWfd3WVRNgYYFXa09imVPAOAuZPHGjJfrLYOK6Ju8g++cQBA/GL8SvuXSp7xNpqV4JOT7hDZyJfz06tPlkYoQWhFtbOcNGlSJBQrZMaMGbS6lKGiOA+5GU7RE7DccaLnAyFO9N7NKO1FqcOsKM6LW7BdjR2x2uZmOEVhUaO0F6XOZMvycgRC5mwdGZeVKhrL/LWuyMpJT6TOZMvyct3nS+542byiSL+8o/QH9a3iztIIJQgtUG1Yk4ilCK/nSkWodl+9tQHbBGE1vW/oJySrr0crpxm+spSq3c/56fs42T1gmOPaVt/KtNHIlWWm08a00QjHFQTwnc37Rc5ken6G4SvLLKdNlIRz/8b96PUFDXHQvb5glI0EoRZyliay/Gvy2Zt6UJSTLroB7Tp82lDHZTnfB8+Kyqkoykk31Mbi/AzRz2e9+hWpl2trto3C7wkvC2aU47IgnIAmlMuqe6zCUP1Mlo0hDWNX01ZqI0GohZyliayonIrC0amGhGHtVnH5usW1+3QPabHwB0MioeK6xyqQm+E0ZJWXm+GMstEM6cVeX1C0Kql7rCISctbbzqqZBaIHHqGYt5G0dHlFNko1QvVa5Q0GuKTZ6Pmiz5R+iOEJOUuT2bOyEnfOGq9rGLZwdGqUfuXeY2d0f8ck99nHx86IbrR7VlZiwuhUXVd5d84aLwpNups78PH5/XVm2PnImwdFv1/PczejcHSqrqtZaXaqu7kDnV6/7vMld15oY0VxHpqeqUKawrErsdkG4PX7rhLZuLh2H7q8flPek/pDED3YEYQayFkmAV4VXo9fflFOetQWB95xGR2eFGYd1rqPisawZ2WlbuHKkvyMqMzQWvdRRfvv9LLTHwxFvfPi30MnihVskeJa91FD5kvufL8/GDW2DUvmxCwcoBSHzYrbZ42P2q/a3N5r2PeSddzc3puwLcTIhJxlkli3qAyPLZiGdKcdgxpWAg6bFfMmj2Uqh9S6j5q24uKPG1t7osZR91gFHr5uKjNLVkmfdivw8HVTmTY2tppfvF36QAAAh9YsxOyJY+CwWTWFJNOddjy2YBpzL2Bjq7bi7VpXln5GTLuiOA8HnroRhaNTozKBlfZZlJOOl++ZzbSxy+vXPHYtbfn9zgShFpLoSiJC6aH5a13o6fej1xdEqt0CIPyfXHqc7rRj3d1lMSvKHD/zZeSJWu46wuN455W0lXs/KtSWfKGuCc3tfUiJcZ3BAIfiGALFPP5gSLexK217/MyXzLEItSW37j8eUe+Qu47DZkV2miOuQLGwypKedsQ6X721genUhNqSr+z2RD6Xu2ZOugPF+Zmy5QOBcLa20d9L1rGcjQQRC3KWQwT+ZsQXNwfCslC8skZRbvpFXe9SqC3JFzcfl50WKYY+LjtNUUHzoYzw4Ycvbi6073RPf0zncTEgtXHf0c6oeSRHRAxHyFkOMViCxWrp7PNFwk+AOQognIrx6WEjX/LNTDvVFD5I9MHG3dwhOw49bZZ+pkYjlCXKrAZeB1Xr2LW21ar1Soxs6J3lMCQ3w2la4gt/bLYuoZ5Zmkrb8tJlZlBRnGdK4ov0s2TooJqZ4JNqN1cHlRg+0MpyiKFHGLan32/qikuLjYmGYZWOV087e/qVJ4foEYZNxspSiUao0MZEwrC8DqrWsWttq8ZGguAhZzkEqHF58JLrCEIhROn2NbX3RY7X7ToCK8LFrmPddAtHp6Gpvc/UBJ94FV/YGpoX7LQAkdJ88bQlASDTaYM/GDIsCYT1WeHo2BJWfI1a/ubNsrNo5Q5YAVjjaEvyNrISvoxM8Cmfkis7HjkNTenxO/WtcFiB7LTY2pLlU3Jx8PhZzWPX2jaWjQQhB4Vhk0iNK6wt+MpuDwIhKNo3GAJw8PhZlK7eKbvBOhlhpuw0tlBxjcujWkNTqC1Z4/IwryvXn5HI/V4X1+6LaGgCYvtYdqbYxdqSQ8lGOcc2f61LlYam3SrWlmTVZU1WwtrFnChHJA9aWSaJ+WtdONE9IHoqVxM2GwgE8dGxMyhdvRMv3zNbFL68tawA79S3mhqGzZRsXOdVJHp9QXDQrqG5btcRvLLbg6ZnqkTXz3TaRcXFzbDz1rKCKBuXbdwf+VlLnwMBP36+6wi27j8etZUk02k3PQwrpXprA7b/byv8IUR9V5Ves6m9D/dv3I8ChkYoYozTiLklCK3QyjIJ8OE6PRIy/MFQlARRRXEespw20xJfMp22qMIBD75xILIXMtE+BwJclH5m3WMVilRc9LKzJD9D9EDCPwxApz5ZGqF1j1XAZsB8yZ2fLilS727uwHv1rbBbE+8zxc7WCH34uqmGfS9Zxw9fR6tKQhvkLE3GCO1FfzAUEQbmmTk++/zKxfjKNjPHi8OTRmgvspzJzPHZCY9dadvHq0pEffMPA3rCcibpTpvu88U6PxjgRDbyDwN6F6qXaoSuqJyqqfqRlrZ8fwShBXKWJrK4dh9OnNdeTPTmJj3uD3AoXb0z0teW5eXISXcYvuLKSXeIEnH4d3dGOK6T3QNRNjqsxq8sc9MdolVl6eqd6DfIQW+rbxW9i375ntmmrCznTh4rKhrB60sa4bhYNpqxspw3eSzjfyVBKIOcpUm4mztw8PhZXcNmrJCs8Ca07u4yw+0S9sHLghnpuKRyWVdfZvwNkGWjHvMl1/bg8bMRGyuK8zB74hhD7Ut32kUPPNVvNyDFYMf16ednIv1VFOchJ93YZCapjQShFnKWJmGW8KywoHlFcR6qZhYYFp4sHJ0qWnGxiqkbgfB3uWV5OXIznIas8njtxaFio1FhWOlD1VkTio0HQhBlAfNjMCIMK7w+QWiFnKUJ1Lg8aGrv0+3mFut8ry8oere3blEZ7jqvn6nn6keqL1nj8uCcL6jbTTxW26b2PtGNltcI1XOVx9JenL/Whd7zNuo1X3JtD7eLhYqFGqF6rfIynTZsvu8q0cPA/LUuBHWeL7njl1xHIv3y+plCjVA97EyzW9D0TNVFXXOYGBqQszSBrfuP6xbCUnIDkSYQ8fqZesHSXty6/7gh2Ytyn23dfzzKxsLRqbrZyNJe7OzzGTJfcm2lyT57VlbqVnLPCkRtOeJtNOP9oQXhvZgsG1PtFl1sdNis2LBkji7XIghyliZwMk5Sj94rlf4AFzWGdYvKsGHJHM3akhzCN587Z41nljNTktSj50qFLwAgZM/KSlTNLEgou9JuDQses2zkk3rMWFlyAHYdPs20sSQ/Q7O2JK+h+bpkRQmE38caNV9yxywbm56pQlFOekJ9FuWk49CahbSiJHSDihKYgBXh6jxA+D90aozjRM/zxzUuT1SafEVxHjzP3RwpW8aXxIt3zXSnPWbZshqXR9XY9GrLspF3cjUuDzbtbYHXF1DUZ0kcDc0alyeyMjJivlht5eD3tPJlEu1WZdfMzXDG1NA86x2UHbNRcxvPRr5MYjyd14EAh0wFZRIJQivkLE1A771qSmjp9Mqe4yWy+KLt7iMdSHPYAITDcHyob+LYUVheMSXu03msvowkVr9C0ela91EcP/Mlevr9SLFbkeawoaffj8LRaSgpyFZUwD0ZNsbbx8nbyBdt33X4NLLTHOj3B+GwhSLl8q4uylFU3LzXF9Bj2KqIZyPv+Kq3NuB0Tz9zHmeOzyYdTcJwyFmaAB8iUnKc6Hn+WImygh66ksAF9Qg97VTS1mwbjZyvWG3joddG+55+v+w4jJpbpZAjJJINvbM0GHdzhyGbyOMdm41RSSCxzpuNkfMl9xmrALlRpNiths4X69hOdyDiIoG+qgZTUZyna3KE0mtpRevNWc3Y9Gprpn0ADJ0vuc+0rIq12jgYCBk6X6zjgMZ3FGY+RBAEQGFYU2AlhsgdJ3qePx6XHVt7scblwSu7w3sV+wNcZDXK4YK6BBAuZ1ecnxkzaWJcdlpSEnzi2bi4dh+a23vRdX6TvdA2DoANFxKvHr5uasxw5rjsNNMTfJSsnuevdaGn3w9/MMScRw5Amt2C3AwnFl01MaaN2WkOWY1Qo+Y2HnwyWnN7H6zWcDED6Tw6rEAoBBTHSdIiiERI6sry1VdfRWlpKbKyspCVlYXy8nL84Q9/iJzftm0bvv71ryM3NxcWiwUNDQ3JG2wCJCNkKPeOR6ihya/OYoU5vb5AXG3JZL1PimUjr6HpPZ+0wgoDCjOU42lLJsPGWHsqhRqafJKMXEgUCCduxdKWBMKJQGYTy0ahhmYI4X2ZrHm0W8M6ry1dXjz4xoGogvsEoQdJXVkWFhZi7dq1uPzyywEAmzdvxm233Yb6+nrMmDEDXq8X11xzDb7xjW/gu9/9bjKHmhCB0IVwk1kJPlLczR2ofrsBnV6/6KlczTXX7TqC9buOMPfoBULmJviw3nVVb21AXWNb5N+o1dDktSU37W3BurvLomw0cr5YbVlUb23AO/WtUXOo9JpN7X1YtnE/Mp02HFqzUHTtotx02TEbNbcsqta70dzehyC0aWie6B7AlJU7UJyfESUdRxBaSerK8pZbbkFVVRWmTZuGadOm4dlnn0VGRgY+/vhjAMCSJUvwk5/8BDfccEMyh5kwV182VrfkCCXJE7mSotS83JLXF0g4ISMEROln8jaameAjLaDOay8ixr9R2qfXF4iSPAOA3PMqLnrPl1zbZ+6YKeqffxjQ4/csLYsIhLNqc9Idpib4sGxsau9DSoJ9ptgtaOny0iqT0I0hk+ATDAbx1ltvwev1orxc+6Zin8+Hc+fOif4kmy3Ly+GwmferXjavSPSz3tqLLMHpLcvLTfsyOWxW0TtUI7QXBwLRgtPS36uRZDptUWLT/MOAXrA0Qs20sSgnXWQj/zCgJyyNUILQQtKdZWNjIzIyMuB0OvHggw/i3XffxfTp0zVf7/nnn0d2dnbkz4QJE3QcrXZ4MeZEMwnjnXfYrKIkjpIn65hl2rRmL/J/9/qCWLpxv8hGllCxnn3yx0Kx6RqXJ0p7Ua8+T3YPoOTJukhfvFCxnvMl15ZlYzDBa7KOT3QPoGq9W2QjdJ4vuWOh2HTVeje21bca0ue2+laRjQShhaQ7y+LiYjQ0NODjjz/GP/3TP2Hp0qU4fPiw5us98cQT6Onpifw5ceKEjqPVzpbl5SJFBSPCsJlOG16+Z3akT/4GYWSoUHgTevme2ch02gwNT6bZLaJVZe2fjkZpL+rZp/D3KLTRyDBs4ehUpo1GhEQtCCfGCBOb7mSo1Ogdhp0gkXdrPl960ag+pTYShFqS7ixTUlJw+eWXY86cOXj++edx5ZVX4qWXXtJ8PafTGcmu5f8MFZ65Y6ahK8sF08eJ1O5buowv0dbS5RUJFS+YPg6DBq24eH1JHndzB3p9QcNt9HxxQS6Lt9GolSUgflfJi00bzaa9LZHjdYvKojRC9VxZsmw0oySk0EaCUEvSnaUUjuPg8/niN7wIqSjOw+b7roq5+tL6BH2XRA3kkTcP6h42k/vskTcPRvpdt6gMr993FWwa7ZBrm+m0RelLPvLmQUPCg9LP/KHwDV1oI68RqufKkqW9uPfYGUNDovzfXV6/yEapRqheq7zC0akiG93NHfj42BlDvpfS406vn4oZEJpJqrNctWoV9uzZg88//xyNjY348Y9/jA8//BCLFy8GAJw5cwYNDQ2RsGxzczMaGhpw+nS0rM/FQkVxHl6+Z7auCT8sfUnveZUGo0KFwmN/MCQKcVUU5+H2WeN1s4+lvVjj8sAfDBmWpSn9rLG1RzQmvTVCWdqL/O/UyPCk8DOWjXpqhKbaLVGqJy/UNclmvhoxty/UNelmDzGySKqzbG9vx5IlS1BcXIzKykp88skn2LlzJxYsWAAA2L59O2bNmoWbb74ZAPDNb34Ts2bNwoYNG5I57IThHWaq3ZJQGBYIV56ROsrqrQ1MtXujVpYDAS4qxLVuURkevm5qQtqSHMJO5LEF06L2PG7a22LI6kOuba8vGJVVuW5RGeZNHhtTW1JJn6l2C1OIedPeFsNXXMLPzjFC2ntWVmL2xDEJ9TkY4JCb4WQKMTe39xn6vZQeN7f3RY2BIJSQ1KIEr732Wszzy5Ytw7Jly8wZjMlUFOeh6Zkq1dqSAwEOOemOmPqSp3v6RQkqSq6ZaFsWQgkpNdqSqfb4Gpo4b58eY1falqVywifiyGlLxuonnoYmwC6VqKfN0s/czR1R4+FtVKMtyX8WS0PT3dwRU+fViLlNsVuYNhJEPKg2bJLhJaRqXB7UHWoTJeVwgnZ2a/jGo0Sb8PiZL40ZbAy8MbQQpU4TAAYC4XqtfJUdAEh32pHuRFwnGa8/o4j1e+VtrN7agE9bunD63EDkXCDERZxoboYTmU47qkoLhqSN2xvaZB0J7zSr1rvR6wucl/QKr0aF88iLMMfTQt3eoO+eSqXEspEg5CBnOUTgb7Z60NPvF2UexjvWo60S9LRR6XiVjF1p255+f9xx6VlDVm4cetos/UyJRqheJeR4HVStY9faVomNBCFlyGXDEomTYrealvjCH5utS2i3GpcEIvdZiolGups7DJ0vufNmY/T3knVMEFqgleUwZDAQGpIrSz0JhMwv3u6wmbEbMExFcV5SVpZmk4yVJUFogZzlEIH1zrI/wCHt/JNwIMRhXFaqoneW2WmOuEkYwmM9EimU2si/s+zy+pFqt0QUWfikHkDZO0ul49XTzuw0cYF6FsJ3lnZr+Dp2KyLHhaNTFb+zlBuHnjZLP4unEQqI31ny3zPhPDpsVkXvLHkdVK1j19pWiY0EIYWcZZKJlQ0rdEOBULjw9bb6VriPdMR0KBPHjsLJ7gHmOaPgHR0LVjYsj91qiSSH8Odf2R1uH8vGdKfd9ASYiWNHyZ6TZsMGQoiEpvnPgPAc8tqSdYfaYmbDpjvt4BOhzOLWMvm9o6xsWB7hPPb6gjh4/CwefONAzGzYW8sKdC+croRYNhKEHOQsk4S7uQMPvnFAU9isy+vHul1HsG7XEVQvmBblUMZlp5kehk1naPjWuDyo/dNRnPMFI45faZ+8tmTtn45i+demMJ2mkaE61mesFcni2n349PMzCITC7dRoaPLakql2CzYsmcN0mmaHYVljWFy7Dx8dOxM1h0quyWtLFoxOxTN3zBRdv6I4D4MBDiET7OSPBwMcZcISmqAEnyTAS0rxqyytCRkA8MpuD3OzfLxyc3onUkilnaq3NuCV3fJVdpT26Q+GsH7XkagyZcvmFRmaBCL9LNNpYxZ/2HvsDOzWxPocCHBMjdBl84pMTfDJctqivqvz17pw8PjZhPpMsVvQ2edjaoQW52cY+r2UHhfnZ0SNgSCUQM7SZHhHqWdx7LrGtiiHOSY9/vs1vUh32kUrP721F1mC0ysqp8YM/eqNUDIL0F970R8MRTmTFZVTTc0yZtmoZzh/IBCtESqU6TIDs/sjhg8WjuOGdXrYuXPnkJ2djZ6eHn0VSJxOYHAw+vOUFECmELy7uQNLN+4XhbOkx6zPlJ4XFlOvcXmwbtcR2euo6TNeW2EouHprA96rb0XQgD6tAG6X2PjzXUcSGrvStp+vvRk81Vsb8E59a8LzxWqbJgnJzl/rijgsveaLdd5uBTzPXbCR79eIPqVh5/lrXTjRPaD791J6LLWRGHkk4g9oZWkiT77bqGvYTHq86/DpyOprReVUlMQIcekV7irJz4g4SndzB3YdPi1bGDvRPlPsFtFqbkXlVGSdV3Ax0s7pgtAdb6Me88Vqy39PePasrIxSqdEzPMn//WjltEif1Vsb0NnnM6xPlo2s1wZ69im1kSDUQs7SJGpcHnT2GSs95g+GRKoKfKUVPslBmAghPI53PlZbYTWXF+qaDNdeHAhwIoWT5V+bgkGNY1fSVvh7NMvGzj4f00Y95ot1vignXRRG33XYeFWfNkl4tzg/Q9fvpfRYaiNBqIWcpUm85Dqi280t1vmm9j7RjbbpmSqknX+y1nPFlem0YfN9V4lsPHxeQcIox8Ufv+Q6EulzReVUvH5eI1TvVR6vvchT4/KgSaKSYZSdLBttGu2IdX7C6FTRw0CNy4NzvqChjmsgwCEIiN5f1j1WgTslGqF62XnnrPG6legjRi7kLE1gce2+mBmTWsJmsY6lclkblszRVT/TYbNGSUotrt2ne9hMrq3dahEJFfOSZ3p+mVPt0dqLm/a2GDJfrLaBEEQJTXprhAJsRZBNe1t0ny+5484+n8hGvTVCgfADj571eomRCzlLE/j082i1e6NWlgOBsCK8EN6ZpDvtCa9+WELMvI16rz5itf308zNRNvLOJNE+0512pvZip9dvyHzJtRW+1wMuOBM9fs+ZTluUo6xxedDl9RsyX3LHLBtL8jNEYWctfQ4GwqFXuYIIBKEWKkpgAnbrhULjAwF9y5PJHUupKM7Dgadu1KQtCYQ32z9aGV0AQWhjIGRe6TkW6xaVYd2iMk3akqn2+BqawgQVveeL1TaWjVq0JQcCsTU0Wzq9smPWY76UziMfMp2/1hV5z6+mz1hVgwhCK7SyNAG5G5+RSPdd8qyonIoDT92Ih6+bGrm5yD21A+FV1uyJY+B57mZZJyLXl9HEstHz3M2YPXFMZC+m3OoDCDvAh68L/16Gko2xEsK2LC/HoTULUTg6NRJil1txAWEHUr1gGuoeq5CtYPNpS5e+Bigglo17VlZiw5I5KMpJhxXhBzbWPAZC4YhHUU46NiyZQ46SMARaWZoA/59byXGi5/njeJp9ctqSWlTkeV1CPe1U0jaejbxYcaL28X0ZOV+x2saC5Ri02hgWc2aPw6i5jQcvjq6XjQShFVpZGoy7ucOQfXHxjrWi9QZkVBJIrPNm2gfA0PmS+0xaAs9IG1PsVkPni3WstUIROUrCbGhlaTAVxXlJWVmaTTJWlmaTjJWlmU5hMBAacitLghgqkLM0AVZiiNyxXskTSjT73M0d2N7QBveRDqQ5wkW0O/t8yM0IS4hMHDsqriYhcEGX0KgkELnzSm2sdR/F8TNfoqffjxS7FWkOG3r6/SgcnYaSgmzcWlagyEazE3yUrp5rXB60dHqx6/BpZKc50O8PYjAQiuhvKtFABcI6qP5gyDA7tNoHhN8Zn+7pZ87jzPHZGJedRltECEMhZ2kCyYh1F+Wmy55ja2iGtSEHAlwk6eJk9wAOHj8bN0s0Vl9GEqtf2azfYCjyWUuXFy1dXmyrb42ZJRqvL6OItzeWlfXLVxfijwcCHDob21DX2BY3SzTTaTe8ypSUeDbKZv0K5vHg8bMYCJzBrsOnMXN8NvNdNUEkChVS14qKQupFK3dEjjnoU/g63rWEhb953M0d+M7m/QiEtF0zy2nDgunjmE/wRSt3KL6Omj5jtW1h2Fi9tQG7Dp+O0tBU2qfdCvx66VVMp3nZyh2GzRerbZbThkNrFkaNo2q9G54v+iIammquaUNYkWbd3WVRNi6u3Ye9x84YNl+s48wYNh5u79Pc5/T8DKraQ0RBhdSHOIWjU01N8EljhLeqtzbgwTcOIBDSnpDhD4awrb6VuY2icHSqqQk+haNTo8Ywf60LdY1tCWloBkLAg28cYNrIKhtopJ0Lpo9j2tjU3qe5IlSK3QKvL4D7N+6PSh7asrzcsPmSO2bZWPJkHVq6vAn12dLlRenqnZoSpAiCBTlLE1h01URT+yvKEYcM9dZeZOlnmm2jtD+9tRffq2+NutFKf69GYgWiVvDCTfqJwtIIBcy10WGzMm3UK/GHpRFKEFqhMKxWVOpZlq7eiV5f0PAwrBXA6/ddCCMKtRe1XlOubeHoVNE7MD3DzbHaSsOTUu1Fvfq0Qayf6W7uwP0b9yOk4ppa7ZSGJ4Waj3qGRDkAmwXfFznNVSPCsNdMHht5v+hu7sCDbxyIZNPq2adUI5QYuVAY9iLg5XtmmxKGnTt5rOjGV9fYZlio8GT3gGhlMm/yWFPCsC/fMzvS5+LafVHai3r1yetn8jZWFOdh7nkb9ZovubYsG40IiVoAVL/dEOmrojgPuekOw8OwDqu4aAQ/BiP6FF6fILRCztIkKorzMHvimMj+MuF+NOFxIucdNivzBmQkwj62LC+Hw2ZN2I5YbTOdNtEKQVpQ3Swb9ZgvubazJ44RPfAcPH7WUPu8voBIxWXd3WVRGqFa50vu+OrLxkb6czd3oEtS/N9oGwlCLeQsTWTL8nJMiJPso/UJOs1uEYXtFtfuQ5fXb9gNnT/u8vpFN6FD5+uVGrHiKhydGmWjP6TvTZzVttPrF62gD61ZGEn20dvOO2eNFz3wPPLmQV3nS+78x8fOiFbQUo1QPVeWLBv1/l6yjvceM/7Bihi+kLM0mT0rKyOb/vXCYbNGSUo1tvboGjaL1baxtSfKxlS7BXrC2iPY2Nqje3hQru0LdU2ivvXWCAXY2ove8/sLjQqJ8n+n2C0iG43QCAWAqpkFIhtrXJ6EspfVtOX7IwgtkLNMArzD1CMMyxJidjd3MNXujVhZDgQ49PqCqFrvFtnIOxM9+ky1RwsxV613RxKmzLCzqb0vSoyZf6+oR5+sh4Gq9W4EDZgvufOH2/tE/fMaoYFQ4n0OBjjmw8Aruz2GfS9Zx6/sJmdJaIOcZZLYs7ISP1wwDTnnkynUrgQynTZcM3ksDq1ZGJXlt70hflKP3k/wvb6AaAwVxXk4tGYhqhdMg8OqPQmkesE0ND1TFfX76/UFDFl9xGq7vUG8/aaiOA8ta2/GvMljRSFLNX3mpDvwwwXTmJV1en0Bw1dcrGQYIesWlcHz3M1xXx/EumZJfgZev+8q2epBRn4v49lHEEqhcndJhJfJ4suWCdXhAXbhaSuA2RPHxCzp1dTWI3vOKHr62QkavI182bL+QFD0xA9E2+mwWeOWLZPrz0jkfq/8OPl9kKwVDyCeQ7sVePg6tkwaTzJsrHF5mGPas7IyUibxcHtfzO8oh7DGZHaaAw9fJ18mMVkhUTkbCSIW5CyHAEJtSb64ORC+OZcUZAMI1yZV+h/8ZDdbe1HuWI+2A4FgzDEJHR9f3HxcdlpEk3JcdpqiguY8vb6govHqaefJ7tj6mcKVE1/cXGjf6Z5+VXVLhWFmPe2IdX7f0U7Z75lUW7LG5cG+o51R86i0oPm+o52Gfy9Zx7FsJAg5yFkOMeTEbtWQneaILjwd4zjeeSVtzbZR6XiVjF1pW17FQwl63IzlxqGnzdLPlCi5CG1MxE5erUbr2LW2VWMjQfCQsxyGdPb5TF9ZckYbJaE/wMGiYLzC40TbmqnI4W7ukB2HkStLM0P4TW09SVlZJuM1BXHxQ85yiKFHGDY3w4mT3QNDdmWpRxg2TeF49bRTzZafRMOwFcV5SVlZ8t83pTYmEoYtKchGS5dX89i1tlVjI0HwkLMcIsxf60JPvz8qfCq8mbyy24N0p50przTU4ZNDmtv7kCJzc6trbMNggENxHG3JoUqNy4Ot+49HknzEN/GzYWf0ZB0cNiuy0xwxtSWHKjUuj2j7BWset9W3IifdgeL8TNKWJIYNVEhdKyoLqbPgBYrPev0IQl1h7kynTTZjdHHtPnx07EzM67CumUhbOV1CPtNXi4am3Qo8WjmNuaJWWpheTzvnCQp/C+EzfdVqaPLaknLC2qWrd2rW5VTaVvoZSwcVCD/MnT43oElDc3qMhx+++L5R30vWMUsHlRgZUCH1i5DqrQ1Yv+sIvL4AUjTsi/MHQ9h77ExUMQAAWF4xxfR9ljPHR4e2qta78cpuj2YNzUAovImcZePM8dm6jV1p2+UVU6LGUbp6Jw4eP6upCg2vLbl+1xGmfubM8dmm7rN0MO4G7uYOzPnp+zjZPaBZQ7Oly4tH3jzItFG6z9goO/njnHTlSVoEIYScZRLg9SVDOlyrpcuL+Wtdos8qivNgN3lmpY5k/lpXJIScKE3tfVE3WpbjMpJ0pz1qZTR/rSuyhSURQmBrhJptIyvb98E3DsArKTihBX8wxNQILc7PTPjaajC7P2L4QGFYrWgMw/Lai4A+YTNhyNLz3IXwUrx+1PQZr61U11Kovahnn1r60cvOHy4Qh4OnrtqhKSQZr+1dAv1MYT962RHrfLXARl5fUph1rEefUo1Q3kZ/yJwwrFyYmRgZUBj2IqHG5YlkqeoRNpOGLIXhyj0rK5HptBkensx02kQOrGq9W6S9qGefnX2+KBttCYxdadssp03kKKvWuyOhZb37rGtsE1W2ebRymilh2JL8DJGNj7x5EAB075PXCJXaqPf3knU8PT8DBKEVcpYmUvuno4Zev6XLK7oJLZg+TrQHTe443vlYbRdMHxfpr8bl0S30KkezpNj3mHSH5rErbWu2jcLvyYrKqUh32nWbL9b5QIjD41UlkT6r1rvhD+rxkkC5jVYNY1fTVmojQaiFnKVJ8O+39Li5xTr/kutIpM91i8pw56zxhq24JkhUJF5yHTHccQXP/y55Djx1IwrPF/k2ws47JSFD3ka95ovVttcXZNpoxIrLBuDXS68SvY/la78a5bgGAhzO+YKiBzteP9OIlWWm0xZlI0GohZylCbibO9DZ59M1bCZ3bLdaxKr3i8pQODpVd5ukklLu5g5m1qveDtqCcIUiYaKIERqhQLT24uLafVEZoUbZefrcgGgsRmiEAuH3h0Insrh2nykhUQuATXtbIv3ykmd6a4RagSgJO4LQAjlLE6h+u0HXsFm8a30sUYTnnYleqx+W9mL12w26rz5ita1+uyHKRrtVvz5Z2osfHztjyHyx2vpDiMqO5QW+9fo9Sx8GeBuNmC/WcZfXL7KRd5h69TkY4KIeBghCK+QsTcB7XnvRjJVlqt3C3JKyZ2UlNt13lWZtST6cddes8czKM14Z7UUjVpapdgtzO4PnuZtx56zxmrUlU+3hvYabZLQXQwbNl1zbT1u6RP1XFOeh6ZkqTM/PSOh3l5PuwOb7ropylNVbG0R7fo1eWabaLUwbP197M0ryMxLqsyQ/A0fX3qy49B5BxCOpzvLVV19FaWkpsrKykJWVhfLycvzhD3+InOc4Dk8//TQKCgqQlpaGa6+9Fn/961+TOGJtBEKc6X1K97MB4RuR57mbMXviGDhsVlXJEYWjU3FozULmzYfVlxmw+l23qAyH1ixE4ehUBELKVzwOmxWzJ46B57mbmSuRZNjY72fv4ax7rAIblsxBUU66qhUXr6F54KkbmTby9V3NJJaN1QumId1pF+m8xrJzMMAh3WlH9YJpqHuswkQriJFAUvdZ/u53v4PNZsPll18OANi8eTN+9rOfob6+HjNmzMALL7yAZ599Fps2bcK0adPwzDPP4E9/+hOam5uRmalsc/FQ2Gd52cod4N82cdC3PJnc8TUypdmE8EXb3Uc6kOawAQi/D+Tf/00cOwrLK6bEDWMtrt2HvefDd3rZqaStXPk5qY217qM4fuZL9PT7kWK3Is1hQ0+/H4Wj01BSkK2ogLtcCUGj7VRSmo0v2r7r8GlkpznQ7w9iMBCKFBm4uihH0QorVglBo+YWCm2s3tqA0z39zHmcOT5bVQF3YuSSiD9IaiH1W265RfTzs88+i1dffRUff/wxpk+fjl/84hf48Y9/jDvvvBNA2Jnm5+fjzTffxPe+971kDFkTfIgICD8FxzpO9Dx/rESzTw9dSeCCLqHSsenV1mwbWfNohp3x0EvIODvNAX8wZJgdWu0DQI6QSDpDRnUkGAzit7/9LbxeL8rLy9HS0oLTp0/jxhtvjLRxOp2oqKjA3r17ZZ2lz+eDT7CyO3funOFjj4W7uSMSKgIQ9zjR8/xxMnQJ9bRTSVuzbTRyvuTaups7TEtQ4dVSjJovubYEcTGQ9ASfxsZGZGRkwOl04sEHH8S7776L6dOn4/Tp0wCA/Px8Ufv8/PzIORbPP/88srOzI38mTJhg6PjjUVGcp2tyhNJrmanZV1JgflHzVLu5uoQlBdqKmidqp5mZnLkZTkPni3XM65ISxFAn6c6yuLgYDQ0N+Pjjj/FP//RPWLp0KQ4fPhw5b7GI/zNxHBf1mZAnnngCPT09kT8nTpwwbOwEQRDEyCDpYdiUlJRIgs+cOXOwf/9+vPTSS3j88ccBAKdPn8all14aad/R0RG12hTidDrhdOq/QT0RkhGGvbWswGCrLnBrWQG21beaHoY128Z36ltNDcOaTabTjpPdA6aGYdW8tySIZJL0laUUjuPg8/lQVFSEcePGYdeuXZFzg4ODcLvdmDdvXhJHqJ6s82W8zArD2gBTw3cVxXmyexuNCutlOm2m28gq2m6knUU56abZBwBVpQWmh2HNtpEgtJJUZ7lq1Srs2bMHn3/+ORobG/HjH/8YH374IRYvXgyLxYJ//ud/xnPPPYd3330Xn332GZYtW4ZRo0bhnnvuSeawVVM4On7Wpp6kO22m9geYb6PZ/QHm/16rSs1bOQPhrFq9y83Fw2wbCUIrSQ3Dtre3Y8mSJTh16hSys7NRWlqKnTt3YsGCBQCA//f//h/6+/vx0EMP4ezZs/j7v/97vP/++4r3WA4VHq8qwf0b9yMEc8Kwsyeal/jC83hVCZZu3G9KGHYwkBwFiZnjs7H3fClBo8OwgH5bQtQwc3w2Pjpf1k9ubHrZ7LBZk2IjQWiBxJ+1olL8eXHtPhw8fjbhPWrxzqc77Tjw1I3S7k1hzk/fj5ShS9SOWG2VFCMwCt5GveZLru3siWOSZuPUVTtgtxq/z3LTfaQEQpgLiT9fBPA3Pv7pWvgELjxO5PxggMOyeUXJMRDAsnlFGIwxdjV2xmqbLCcitFGP+ZJrCyTXxqmXZOg6X6xjs7fFEESikLM0kQ1L5jCTRPRKGLl91vikhrVWVE7F7bPGG5r4ctes8UmzD7hgo1EJPplOW0RdJFnUPVYRpRGqZ4LPULCRINRCztJEKorzcLtBN3uWpFQyWLeoDFUzjUnaYElKJQOjNEKHkvaiURqhDpt1yNhIEGqgd5ZaUfnOUkj11ga8V9+KIPQppF44OpUpKZVM5q914WR3WMBYqR2x2t41a/yQcJRC5q914UT3gOr5Yh3bEI4MDDUbp67agUBIv0Lqm+k9JZFEEvEH5Cy1koCzBMI1Yx9840DkZy0JI4MBDo8tmDZkMwprXB7U/ukoen1BzUkgmU4bln9typC1kU/cArQnuwDhEP1QdSK8qkwiCT65GU48c8fMIWsjMTIgZxmDoeoseRbX7kNjaw/O+YKKV5YOazgJ4/Gqkovi5jN/rQunzw2IVijx7LRbgXFZQ2/FzMLd3IEX6ppwuL1P1Sory2nDzPHZSU3mUUqNy4NNe1tw1utnRkSEx8LP7Fbg0cqh+0BHjCzIWcZgqDtLnhqXB3WH2tDS5Y18JnxCD4Q4jMtKVaxNOBThb7gA0OX1M7e9AOGM04v15lq9tQGftnTh9LkB2K3Rq6zC0anIdNpRVVpw0dpYtd6NXl8APf1+ZtTAYbNi5vhsRVqoBGEm5CxjcLE4SxZmyjMlC7JxeDASbCQufshZxuBidpYEQRCEflBRAoIgCIIwEHKWBEEQBBEHcpYEQRAEEQdylgRBEAQRB3KWBEEQBBEHcpYEQRAEEQdylgRBEAQRB3KWBEEQBBEHcpYEQRAEEQdylgRBEAQRB3KWBEEQBBEHcpYEQRAEEQdylgRBEAQRB3KWBEEQBBEHcpYEQRAEEQdylgRBEAQRB3KWBEEQBBEHcpYEQRAEEQdylgRBEAQRB3KWBEEQBBEHcpYEQRAEEQdylgRBEAQRB3KWBEEQBBEHcpYEQRAEEQdylgRBEAQRB3KWBEEQBBEHcpYEQRAEEQdylgRBEAQRB3uyB2A0HMcBAM6dO6f3heU/17svgiAIImF4P8DJ3b9jMOydZW9vLwBgwoQJ5nTo9wPZ2eb0RRAEQaimt7cX2Srv0xZOi4u9iAiFQmhra0NmZiYsFouhfZ07dw4TJkzAiRMnkJWVZWhfyWYk2QqMLHvJ1uHLSLKXZSvHcejt7UVBQQGsVnVvIYf9ytJqtaKwsNDUPrOysob9F5FnJNkKjCx7ydbhy0iyV2qr2hUlDyX4EARBEEQcyFkSBEEQRBzIWeqI0+nE6tWr4XQ6kz0UwxlJtgIjy16ydfgykuzV29Zhn+BDEARBEIlCK0uCIAiCiAM5S4IgCIKIAzlLgiAIgogDOUuCIAiCiAM5Sw20trbi29/+NnJycjBq1CiUlZXhL3/5S+T8008/jSuuuALp6ekYM2YMbrjhBnzyySdJHLF24tkq5Hvf+x4sFgt+8YtfmDtIHYln77Jly2CxWER/5s6dm8QRa0fJ3DY1NeHWW29FdnY2MjMzMXfuXBw/fjxJI06MePZK55X/87Of/SyJo9ZGPFv7+vqwYsUKFBYWIi0tDSUlJXj11VeTOGLtxLO1vb0dy5YtQ0FBAUaNGoWFCxfC4/Go7mfYV/DRm7Nnz+Kaa67Bddddhz/84Q/Iy8vD0aNHMXr06EibadOmoaamBpMnT0Z/fz/Wr1+PG2+8Ef/3f/+HSy65JHmDV4kSW3nee+89fPLJJygoKDB/oDqh1N6FCxdi48aNkZ9TUlJMHmniKLH16NGj+OpXv4oHHngAa9asQXZ2NpqampCampq8gWtEib2nTp0S/Zs//OEPeOCBB3DXXXeZPNrEUGLrY489ht27d+M//uM/cNlll+H999/HQw89hIKCAtx2223JG7xK4tnKcRxuv/12OBwO/Pd//zeysrLw4osv4oYbbsDhw4eRnp6uvDOOUMXjjz/OffWrX1X1b3p6ejgA3P/8z/8YNCpjUGrryZMnufHjx3OfffYZN2nSJG79+vXGD84AlNi7dOlS7rbbbjNnQAaixNZFixZx3/72t00akbFo+X972223cddff71BIzIOJbbOmDGD+5d/+RfRZ7Nnz+aefPJJI4emO/FsbW5u5gBwn332WeSzQCDAjR07lvv3f/93VX1RGFYl27dvx5w5c/CNb3wDeXl5mDVrFv793/9dtv3g4CBqa2uRnZ2NK6+80sSRJo4SW0OhEJYsWYIf/ehHmDFjRpJGqg9K5/bDDz9EXl4epk2bhu9+97vo6OhIwmgTI56toVAIO3bswLRp0/D1r38deXl5+Pu//3u89957yRt0Aqj9f9ve3o4dO3bggQceMHGU+qDE1q9+9avYvn07WltbwXEcdu/ejSNHjuDrX/96kkatjXi2+nw+ABBFQ2w2G1JSUvDnP/9ZXWdaPfpIxel0ck6nk3viiSe4gwcPchs2bOBSU1O5zZs3i9r97ne/49LT0zmLxcIVFBRwn376aZJGrB0ltj733HPcggULuFAoxHEcd1GvLJXY+9Zbb3G///3vucbGRm779u3clVdeyc2YMYMbGBhI4sjVE8/WU6dOcQC4UaNGcS+++CJXX1/PPf/885zFYuE+/PDDJI9ePUr/3/K88MIL3JgxY7j+/n6TR5o4Smz1+XzcvffeywHg7HY7l5KSwv3mN79J4qi1Ec/WwcFBbtKkSdw3vvEN7syZM5zP5+Oef/55DgB34403quqLnKVKHA4HV15eLvrskUce4ebOnSv6rK+vj/N4PNy+ffu4+++/n7vsssu49vZ2M4eaMPFsPXDgAJefn8+1trZGzl/MzlLp3Appa2vjHA4H98477xg9PF2JZ2traysHgPvWt74lanPLLbdw3/zmN00bp16ondvi4mJuxYoVZgxNd5TY+rOf/YybNm0at337du5///d/uZdffpnLyMjgdu3aZfZwE0KJrQcOHOCuvPJKDgBns9m4r3/969xNN93E3XTTTar6ojCsSi699FJMnz5d9FlJSUlUhmB6ejouv/xyzJ07F6+99hrsdjtee+01M4eaMPFs3bNnDzo6OjBx4kTY7XbY7Xb87W9/Q3V1NS677LIkjDgxlM6t9N9MmjRJU3ZdMolna25uLux2u+rfx1BFzdzu2bMHzc3N+M53vmPW8HQlnq39/f1YtWoVXnzxRdxyyy0oLS3FihUrsGjRIvz85z9PxpA1o2Re/+7v/g4NDQ3o7u7GqVOnsHPnTnR1daGoqEhVX5QNq5JrrrkGzc3Nos+OHDmCSZMmxfx3HMdF4ucXC/FsXbJkCW644QbR+a9//etYsmQJ7rvvPtPGqRda5rarqwsnTpzApZdeavTwdCWerSkpKbjqqqs0fdeHImrm9rXXXsPf/d3fXXQ5BjzxbPX7/fD7/VHixzabDaFQyLRx6oGaeeV1LD0eDw4cOICf/vSn6jrTYyk8kvj00085u93OPfvss5zH4+G2bNnCjRo1ivuP//gPjuPC4dcnnniC27dvH/f5559zf/nLX7gHHniAczqdooysi4F4trK4mMOw8ezt7e3lqqurub1793ItLS3c7t27ufLycm78+PHcuXPnkjx6dSiZ223btnEOh4Orra3lPB4P9/LLL3M2m43bs2dPEkeuDaXf5Z6eHm7UqFHcq6++mqSRJo4SWysqKrgZM2Zwu3fv5o4dO8Zt3LiRS01N5X75y18mceTqUWLr22+/ze3evZs7evQo995773GTJk3i7rzzTtV9kbPUwO9+9zvuK1/5Cud0OrkrrriCq62tjZzr7+/n7rjjDq6goIBLSUnhLr30Uu7WW2+9KBN8OC62rSwuZmfJcbHt/fLLL7kbb7yRu+SSSziHw8FNnDiRW7p0KXf8+PEkjlg7Sub2tdde4y6//HIuNTWVu/LKK7n33nsvCSPVByX2/upXv+LS0tK47u7uJIxQP+LZeurUKW7ZsmVcQUEBl5qayhUXF3Pr1q2LJOpdTMSz9aWXXuIKCwsj/2effPJJzufzqe6HJLoIgiAIIg6U4EMQBEEQcSBnSRAEQRBxIGdJEARBEHEgZ0kQBEEQcSBnSRAEQRBxIGdJEARBEHEgZ0kQBEEQcSBnSRBDiE2bNolEep9++mmUlZUZ2p/FYoHFYsE///M/G9ZPLK699trIGBoaGpIyBoKIB9WGJYghzA9/+EM88sgjhvaRlZWF5uZmdarxOrJt2zYcPXoUV199dVL6JwglkLMkCJ0ZHBxESkqKLtfKyMhARkaGLteSw2KxYNy4cYb2EYuxY8fi3LlzSeufIJRAYViCSJBrr70WK1aswA9+8APk5uZiwYIFAIAXX3wRM2fORHp6OiZMmICHHnoIfX19on+7adMmTJw4EaNGjcIdd9yBrq4u0XlpGPbaa6+NCpfefvvtWLZsWeTnX/7yl5g6dSpSU1ORn5+Pf/zHf1Rt02WXXYZnnnkG9957LzIyMjBp0iT893//N7744gvcdtttyMjIwMyZM3HgwAGRLaNHj8bvf/97FBcXY9SoUfjHf/xHeL1ebN68GZdddhnGjBmDRx55BMFgUPWYCCKZkLMkCB3YvHkz7HY7PvroI/zqV78CAFitVvzbv/0bPvvsM2zevBkffPAB/t//+3+Rf/PJJ5/g/vvvx0MPPYSGhgZcd911eOaZZxIax4EDB/D9738f//Iv/4Lm5mbs3LkTX/va1zRda/369bjmmmtQX1+Pm2++GUuWLMG9996Lb3/72zh48CAuv/xy3HvvvRCWl/7yyy/xb//2b3jrrbewc+dOfPjhh7jzzjtRV1eHuro6vPHGG6itrcV//dd/JWQnQZiOLmXfCWIEU1FRwZWVlcVt9/bbb3M5OTmRn7/1rW9xCxcuFLVZtGgRl52dHfl59erV3JVXXinq69FHHxX9m9tuu41bunQpx3Ec984773BZWVmKJcM2btwo6o9n0qRJ3Le//e3Iz6dOneIAcE899VTks3379nEAuFOnTkWuBYD7v//7v0ib733ve9yoUaO43t7eyGdf//rXue9973ui/lpaWjgAXH19vaJxE4TZ0MqSIHRgzpw5UZ/t3r0bCxYswPjx45GZmYl7770XXV1d8Hq9AICmpiaUl5eL/o30Z7UsWLAAkyZNwuTJk7FkyRJs2bIFX375paZrlZaWRo7z8/MBADNnzoz6rKOjI/LZqFGjMGXKFFGbyy67TPTeNT8/X/RvCOJigJwlQeiANJP0b3/7G6qqqvCVr3wF77zzDv7yl7/glVdeARBWqgcgCl8qxWq1Rv07/noAkJmZiYMHD+I///M/cemll+InP/kJrrzySnR3d6vuy+FwRI4tFovsZ6FQiPlv+Dasz4T/hiAuBshZEoQBHDhwAIFAAOvWrcPcuXMxbdo0tLW1idpMnz4dH3/8segz6c9SLrnkEpw6dSryczAYxGeffSZqY7fbccMNN+Bf//VfcejQIXz++ef44IMPErSIIEY2tHWEIAxgypQpCAQCePnll3HLLbfgo48+woYNG0Rtvv/972PevHn413/9V9x+++14//33sXPnzpjXvf766/GDH/wAO3bswJQpU7B+/XrRqvH3v/89jh07hq997WsYM2YM6urqEAqFUFxcbISZBDFioJUlQRhAWVkZXnzxRbzwwgv4yle+gi1btuD5558XtZk7dy5+/etf4+WXX0ZZWRnef/99PPnkkzGve//992Pp0qW49957UVFRgaKiIlx33XWR86NHj8a2bdtw/fXXo6SkBBs2bMB//ud/YsaMGYbYSRAjBQun5cUJQRDDgk2bNuGf//mfNb3T1JPPP/8cRUVFqK+vN7S8H0FohVaWBDHC6enpQUZGBh5//PGk9H/TTTfRypcY8tDKkiBGML29vWhvbwcQDuHm5uaaPobW1lb09/cDACZOnKhbqUCC0BNylgRBEAQRBwrDEgRBEEQcyFkSBEEQRBzIWRIEQRBEHMhZEgRBEEQcyFkSBEEQRBzIWRIEQRBEHMhZEgRBEEQcyFkSBEEQRBzIWRIEQRBEHP5/6UjC9OcD8mQAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
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     "text": [
      "Pair in series:\n",
      "wire length = 62.077870834934316 m\n",
      "R = 5.544807756800001 Ohm\n",
      "L = 3.2129730732336395 mH\n",
      "tau = 0.5943631183600215 ms\n",
      "\n",
      "at 1 A:\n",
      "V = 5.405740992306081 V\n",
      "P = 5.405740992306081 W\n"
     ]
    },
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      "Magnetic field at center: [0.         0.         5.25683494] G/A\n",
      "max. heterogeneity at 1mm: 1.844e-02\n"
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system, len_z = circular_HH(HH=1,\n",
    "                                    radius=65*1e-3,\n",
    "                                    distance=65*1e-3,\n",
    "                                    layers=8,\n",
    "                                    windings=10,\n",
    "                                    I=1)\n",
    "system.show()\n",
    "\n",
    "# Evaluate field at a point\n",
    "origin = 0\n",
    "B0 = system.getB([origin, origin, origin])\n",
    "print(\"Magnetic field at center:\", B0*1e4, \"G/A\")\n",
    "\n",
    "#cacluclate heterogeneity (for circular along symmetry axis)\n",
    "offset = 1e-3 #m\n",
    "eval_pos = [origin,origin,origin+offset]\n",
    "err = np.linalg.norm(B0 - system.getB(eval_pos))/np.linalg.norm(B0)\n",
    "print(f\"max. heterogeneity at 1mm: {err:.3e}\")\n",
    "\n",
    "\n",
    "N_plot = 100\n",
    "\n",
    "# Evaluate field though centre line\n",
    "positions = np.zeros((N_plot,3))\n",
    "#positions[:,0] = np.ones(N_plot)*5e-3\n",
    "positions[:,2] = np.linspace(-60*1e-3,100*1e-3,N_plot)\n",
    "B_l = system.getB(positions)\n",
    "\n",
    "\n",
    "plt.plot(positions[:,2]*1e3,B_l[:,2]*1e4)\n",
    "plt.xlabel(\"z [mm]\")\n",
    "plt.ylabel(r\"$B_z$ [G]\")\n",
    "plt.show()\n",
    "\n",
    "#fit function for later\n",
    "def fit_low(z, offset):\n",
    "    interp_l = interp1d(positions[:,2], B_l[:,2])\n",
    "    try:\n",
    "        return interp_l(z+offset)\n",
    "    except:\n",
    "        return np.nan"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fe01d7cf",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Single coil parameters:\n",
      " \n",
      "HH = 1, Distance = 50.0 mm, z_min = 21.964 mm, z_max = 28.036 mm\n",
      "Radius = 50.000 mm, Radius_inner = 43.987 mm, Radius_outer = 56.013 mm\n",
      "Coil width = 12.025 mm, Coil height = 6.072 mm\n",
      "layers = 25, windings = 11, wire_width = 0.500, wire_height = 0.500 mm, round wire = True \n",
      " \n",
      "N = 263\n",
      "wire length = 82.62388678941156 m\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pair in series:\n",
      "wire length = 165.24777357882311 m\n",
      "R = 14.759963968 Ohm\n",
      "L = 23.549406552755187 mH\n",
      "tau = 1.636537382587603 ms\n",
      "\n",
      "at 1 A:\n",
      "V = 14.389776123243918 V\n",
      "P = 14.389776123243918 W\n"
     ]
    },
    {
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         "name": "Collection (263 sources)",
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         "showlegend": true,
         "type": "scatter3d",
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system, len_z = circular_HH(HH=1,\n",
    "                                    radius=50*1e-3,\n",
    "                                    distance=50*1e-3,\n",
    "                                    layers=25,\n",
    "                                    windings=11,\n",
    "                                    I=1)\n",
    "system.show()\n",
    "\n",
    "# Evaluate field at a point\n",
    "origin = 0\n",
    "B0 = system.getB([origin, origin, origin])\n",
    "print(\"Magnetic field at center:\", B0*1e4, \"G/A\")\n",
    "\n",
    "#cacluclate heterogeneity (for circular along symmetry axis)\n",
    "offset = 1e-3 #m\n",
    "eval_pos = [origin,origin,origin+offset]\n",
    "err = np.linalg.norm(B0 - system.getB(eval_pos))/np.linalg.norm(B0)\n",
    "print(f\"max. heterogeneity at 1mm: {err:.3e}\")\n",
    "\n",
    "\n",
    "N_plot = 100\n",
    "\n",
    "# Evaluate field though centre line\n",
    "positions = np.zeros((N_plot,3))\n",
    "positions[:,2] = np.linspace(-60*1e-3,100*1e-3,N_plot)\n",
    "B = system.getB(positions)\n",
    "\n",
    "\n",
    "plt.plot(positions[:,2]*1e3,B[:,2]*1e4)\n",
    "plt.xlabel(\"z [mm]\")\n",
    "plt.ylabel(r\"$B_z$ [G]\")\n",
    "plt.show()\n",
    "\n",
    "#fit function for later\n",
    "def fit_high(z, offset):\n",
    "    interp = interp1d(positions[:,2], B[:,2])\n",
    "    try:\n",
    "        return interp(z+offset)\n",
    "    except:\n",
    "        return np.nan"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29a97a16",
   "metadata": {},
   "source": [
    "## Single current loop calculation for high-field coil:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "7ac604e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.346493593932307"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "I = 1 #A\n",
    "R = 65*1e-3 #m\n",
    "N = 76\n",
    "\n",
    "B_single = const.mu_0* I/2/R\n",
    "\n",
    "B_coil = N* B_single\n",
    "\n",
    "B_coil*1e4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "6408fbee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "33.049554733756"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "I = 1 #A\n",
    "R = 50*1e-3 #m\n",
    "N = 263\n",
    "\n",
    "B_single = const.mu_0* I/2/R\n",
    "\n",
    "B_coil = N* B_single\n",
    "\n",
    "B_coil*1e4"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c63eb6c3",
   "metadata": {},
   "source": [
    "# Calibrate measurements"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d33dba8e",
   "metadata": {},
   "outputs": [],
   "source": [
    "def cal_B(B_meas):\n",
    "    \"\"\"\n",
    "    Returns correct field using the calibration in OneNote\n",
    "    (in and out in Gauss)\n",
    "    \"\"\"\n",
    "    return (B_meas - 6.072)*0.496"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "3fdd0711",
   "metadata": {},
   "outputs": [],
   "source": [
    "def cal_B(B_meas):\n",
    "    \"\"\"\n",
    "    Returns correct field using the calibration in Joschkas thesis\n",
    "    (in and out in Gauss)\n",
    "    \"\"\"\n",
    "    #return (B_meas - 11.2)*7.93/16.08\n",
    "    return (B_meas - 10)*0.49"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "9b4d4c7a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-1.5394615384670778\n",
      "0.46508439798981116\n"
     ]
    }
   ],
   "source": [
    "data = np.genfromtxt('data/cal_N76', delimiter=';', dtype=None, encoding='utf-8')\n",
    "\n",
    "B_z = data[:,0]\n",
    "\n",
    "B_z_0 = B_z[0::10]\n",
    "B_z_1 = B_z[1::10]\n",
    "B_z_2 = B_z[2::10]\n",
    "B_z_3 = B_z[3::10]\n",
    "B_z_4 = B_z[4::10]\n",
    "B_z_5 = B_z[5::10]\n",
    "B_z_6 = B_z[6::10]\n",
    "B_z_7 = B_z[7::10]\n",
    "B_z_8 = B_z[8::10]\n",
    "B_z_9 = B_z[9::10]\n",
    "\n",
    "B_z_mean = (B_z_0 + B_z_1 + B_z_2 + B_z_3 + B_z_4 + \n",
    "            B_z_5 + B_z_6 + B_z_7 + B_z_8 + B_z_9)/10\n",
    "I_meas = np.array([0.5,1,1.5,2,2.5,3,0,-0.5,-1,-1.5,-2,-2.5,-3])\n",
    "\n",
    "def lin_fit(x,m,b):\n",
    "    return m*x+b\n",
    "\n",
    "popt, pcov = curve_fit(lin_fit,I_meas, B_z_mean)\n",
    "\n",
    "plt.plot(I_meas,B_z_mean,\".\",label=\"data\")\n",
    "plt.plot(I_meas, lin_fit(I_meas,*popt),label=\"fit\")\n",
    "plt.xlabel(\"I [A]\")\n",
    "plt.ylabel(\"B [G]\")\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "N = 76\n",
    "R = 65*1e-3 #m\n",
    "m = popt[0]\n",
    "b = popt[1]\n",
    "\n",
    "c = const.mu_0*N/2/R *1e4 #converted to Gauss\n",
    "\n",
    "print(b)\n",
    "print(c/m)\n",
    "\n",
    "def cal_B(B_meas):\n",
    "    \"\"\"\n",
    "    Returns correct field using own calibration\n",
    "    (in and out in Gauss)\n",
    "    \"\"\"\n",
    "    return (B_meas - b)*c/m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "3fdf2938",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-1.2406153846202757\n",
      "0.48447267643373365\n"
     ]
    }
   ],
   "source": [
    "data = np.genfromtxt('data/cal_N263', delimiter=';', dtype=None, encoding='utf-8')\n",
    "\n",
    "B_z = data[:,0]\n",
    "\n",
    "B_z_0 = B_z[0::5]\n",
    "B_z_1 = B_z[1::5]\n",
    "B_z_2 = B_z[2::5]\n",
    "B_z_3 = B_z[3::5]\n",
    "B_z_4 = B_z[4::5]\n",
    "\n",
    "B_z_mean = (B_z_0 + B_z_1 + B_z_2 + B_z_3 + B_z_4)/5\n",
    "I_meas = np.array([0.25,0.5,0.75,1,1.25,1.5,0,-0.25,-0.5,-0.75,-1,-1.25,-1.5])\n",
    "\n",
    "def lin_fit(x,m,b):\n",
    "    return m*x+b\n",
    "\n",
    "popt, pcov = curve_fit(lin_fit,I_meas, B_z_mean)\n",
    "\n",
    "plt.plot(I_meas,B_z_mean,\".\",label=\"data\")\n",
    "plt.plot(I_meas, lin_fit(I_meas,*popt),label=\"fit\")\n",
    "plt.xlabel(\"I [A]\")\n",
    "plt.ylabel(\"B [G]\")\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "N = 263\n",
    "R = 50*1e-3 #m\n",
    "m = popt[0]\n",
    "b = popt[1]\n",
    "\n",
    "c = const.mu_0*N/2/R *1e4 #converted to Gauss\n",
    "\n",
    "print(b)\n",
    "print(c/m)\n",
    "\n",
    "def cal_B(B_meas):\n",
    "    \"\"\"\n",
    "    Returns correct field using own calibration\n",
    "    (in and out in Gauss)\n",
    "    \"\"\"\n",
    "    return (B_meas - b)*c/m"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4efdf897",
   "metadata": {},
   "source": [
    "# Load data from measurements"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "59c3a5cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "start = 18-19.87 #mm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "647abf9e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.genfromtxt('data/final_76_1A', delimiter=';', dtype=None, encoding='utf-8')\n",
    "\n",
    "#I = 2 #A\n",
    "\n",
    "B_z = cal_B(data[:,0])*1e-4\n",
    "\n",
    "B_z_0 = B_z[0::10]\n",
    "B_z_1 = B_z[1::10]\n",
    "B_z_2 = B_z[2::10]\n",
    "B_z_3 = B_z[3::10] \n",
    "B_z_4 = B_z[4::10]\n",
    "B_z_5 = B_z[5::10]\n",
    "B_z_6 = B_z[6::10]\n",
    "B_z_7 = B_z[7::10]\n",
    "B_z_8 = B_z[8::10]\n",
    "B_z_9 = B_z[9::10]\n",
    "\n",
    "B_z_mean = (B_z_0 + B_z_1 + B_z_2 + B_z_3 + B_z_4 + \n",
    "            B_z_5 + B_z_6 + B_z_7 + B_z_8 + B_z_9)/10\n",
    "        \n",
    "positions_meas = np.arange(start,start+1*len(B_z_mean),1)*1e-3\n",
    "\n",
    "plt.errorbar(positions_meas*1e3,B_z_mean*1e4,np.ones(len(B_z_mean))*3.23/2/np.sqrt(10),\n",
    "                fmt=\".\",capsize=2,label=\"measurement\")\n",
    "plt.plot(positions_meas*1e3,fit_low(positions_meas, 0)*1e4,label=\"calculation\")\n",
    "\n",
    "#plt.xlim(0,np.max(positions_meas)*1e3)\n",
    "plt.xlabel(\"z [mm]\")\n",
    "plt.ylabel(r\"$B_z$ [G]\")\n",
    "\n",
    "plt.title(\"Field of the low-field coil at 1A\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "bd8c12e2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.genfromtxt('data/final_263_1A', delimiter=';', dtype=None, encoding='utf-8')\n",
    "\n",
    "#I = 1 #A\n",
    "\n",
    "B_z = cal_B(data[:,0])*1e-4\n",
    "\n",
    "B_z_0 = B_z[0::5]\n",
    "B_z_1 = B_z[1::5]\n",
    "B_z_2 = B_z[2::5]\n",
    "B_z_3 = B_z[3::5]\n",
    "B_z_4 = B_z[4::5]\n",
    "\n",
    "B_z_mean = (B_z_0 + B_z_1 + B_z_2 + B_z_3 + B_z_4)/5\n",
    "positions_meas = np.arange(start,start+1*len(B_z_mean),1)*1e-3\n",
    "\n",
    "plt.errorbar(positions_meas*1e3,B_z_mean*1e4,np.ones(len(B_z_mean))*3.23/2/np.sqrt(5),\n",
    "                fmt=\".\",capsize=2,label=\"measurement\")\n",
    "plt.xlabel(\"z [mm]\")\n",
    "plt.ylabel(r\"$B_z$ [G]\")\n",
    "    \n",
    "plt.plot(positions_meas*1e3,fit_high(positions_meas, 0)*1e4,label=\"calculation\")\n",
    "plt.xlabel(\"z [mm]\")\n",
    "plt.ylabel(r\"$B_z$ [G]\")\n",
    "\n",
    "plt.title(\"Field of the high-field coil at 1A\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}