{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "6026a74b",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib widget\n",
    "\n",
    "isdark = False\n",
    "\n",
    "from rayoptics.environment import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "c7d740ee",
   "metadata": {},
   "outputs": [],
   "source": [
    "opm = OpticalModel()\n",
    "sm  = opm['seq_model']\n",
    "osp = opm['optical_spec']\n",
    "pm = opm['parax_model']\n",
    "\n",
    "osp['pupil'] = PupilSpec(osp, key=['object', 'pupil'], value=16)\n",
    "osp['fov'] = FieldSpec(osp, key=['object', 'angle'], value=1., flds=[0., 0.707, 1.], is_relative=True)\n",
    "osp['wvls'] = WvlSpec([('F', 0.5), (587.5618, 1.0), ('C', 0.5)], ref_wl=1)\n",
    "\n",
    "opm.radius_mode = True\n",
    "\n",
    "sm.gaps[0].thi=1e10\n",
    "\n",
    "use_schyrle = True\n",
    "if use_schyrle:\n",
    "    sm.add_surface([246, 2, 'N-LASF9', 'Schott', 42/2])\n",
    "    sm.add_surface([1e9, 290+36])\n",
    "    sm.add_surface([1e9, 2, 'N-LASF9', 'Schott', 16/2])\n",
    "    sm.add_surface([-30.6, 36+36])\n",
    "    sm.add_surface([30.6, 2, 'N-LASF9', 'Schott', 16/2])\n",
    "    sm.add_surface([1e9, 36+36])\n",
    "    sm.add_surface([1e9, 2, 'N-LASF9', 'Schott', 16/2])\n",
    "    sm.add_surface([-30.6, 36])\n",
    "else:\n",
    "    sm.add_surface([246, 2, 'N-LASF9', 'Schott', 42/2])\n",
    "    sm.add_surface([1e9, 290+2*36])\n",
    "    sm.add_surface([1e9, 2, 'N-LASF9', 'Schott', 16])\n",
    "    sm.add_surface([-30.6, 36+36+36])\n",
    "    sm.add_surface([30.6, 2, 'N-LASF9', 'Schott', 16])\n",
    "    sm.add_surface([1e9, 96])\n",
    "# add a focusing mirror\n",
    "#sm.add_surface([30.6, 2, 'N-LASF9', 'Schott', 16])\n",
    "#sm.add_surface([1e9, 36])\n",
    "#sm.add_surface([-24.456, .975, 'N-SF5,Schott'])\n",
    "#sm.set_stop()\n",
    "#sm.add_surface([21.896, 4.822])\n",
    "#sm.add_surface([86.759, 5.127, 'N-LAK9', 'Schott'])\n",
    "#sm.add_surface([-30.4942, 41.2365])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "a26f0ff4",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d19fee53d0f74ee5a891e7a1016bb669",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "opm.update_model()\n",
    "\n",
    "layout_plt = plt.figure(FigureClass=InteractiveLayout, opt_model=opm, is_dark=isdark).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "85fd9885",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "efl                2071\n",
      "ffl          -1.694e+04\n",
      "pp1          -1.487e+04\n",
      "bfl               293.6\n",
      "ppk                1777\n",
      "f/#               129.4\n",
      "m            -2.071e-07\n",
      "red          -4.829e+06\n",
      "obj_dist          1e+10\n",
      "obj_ang               1\n",
      "enp_dist             -0\n",
      "enp_radius            8\n",
      "na obj            8e-10\n",
      "n obj                 1\n",
      "img_dist          293.6\n",
      "img_ht            36.15\n",
      "exp_dist          297.9\n",
      "exp_radius       0.9782\n",
      "na img        -0.003863\n",
      "n img                 1\n",
      "optical invariant       0.1396\n"
     ]
    }
   ],
   "source": [
    "pm.first_order_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "8f39b24f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "dfcc24e9079f48f2b75810cacec1bb81",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAA9hAAAPYQGoP6dpAAAg7klEQVR4nO3d3Y9cZ57Q8d95qar2W5LZJI5jO3biTDLZmWF2VgLBHYgLXsQfABJCYiW4QVzABRII7c2ihdXuxUogBq4QVyDESggBQmiFhECIZYHZnX2Z3Z3JJnZi591JJu6XqvPKxTmnqrrtZOI4tjt5Ph+lU9VV1dXV7arqbz3nOU9lN291fQAAkIz8Yd8AAAAeLAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkBgBCACQGAEIAJAYAQgAkJjyYd8AAADur67r4t2bN+MHr74Sr924LgABAL4suq6LG2+9FS9fezV++Oor8cbbb8dqVUUf/aHLCUAAgC+Ypmni6vXr8cOrr8Tvv/xy3Pzg/Wja9lN/vQAEADimqqqKl6++Gr/9+78fP7j2auzv70ff9z/+C0dlWcYjp8/E5Qvn49L5i/HM+fNx7qlzkd281X36awEA4HO3v1zGr333/8Vvfv934uYHH0R7F6N5i/k8zj7+RLx45UpcunAxLp+/EDs7O4cuUzVNvPX223H9zTfi+ltvRvbX//4/OB4B2HeR9330WRZ99vnvnJxFFuN/EVkWWZZFFhFZnkcWWeT5eFqWRZ5lw+lZFnmWR55nkef5+qPIi8izPIoij7IoxsMyyrKMoiijLIvI8yJmZRFFUUQ5fmRZfuR6pusuosjzyPJsfd15MX6f8XJFsfW988Pnl9N1luX6OABwvFRNE7/1/d+NX//N34i33ns3qqr6VF+XZVmcOHEiLp47F9944Wvx4nNX4iuPPXboMrt7u/Hy1Wvx/Zd/EK+/8Ubc2tuNtmni4yLvvm8CHjJrOn7of+tzssii69p4YvVhvLd4LNqsiDLrI/rtKYtHpy/enT76GP+L2B46vYvCTtWhf63DB0NMr49m68+zLIuITVRnWUQ+nT9FdpZFluXr84bjU4yPcTxFc5ZFXuSRjeE9nT4dL4ohtofTiijW1zUcTgGdZ0Nw52N8F3kxXK4YgzwbwjrLh68Zzp8ivFh/zRThZV5EludRFnnkRXk4yIU4d6Fqmtjf24vd/b3YOziI/YP9OFgu4+BgGfvLg9g/OIi98bTlahWr1SqWq1XM5/N45tz5eO7SpXj+8uV4+uxT7nvwkHRdF+++fzNeee1afO/7348333k7VncReSdPnIjLF5+JP/atn4oXrjwfZZ5H13Xx/ocfxm/87m/Fy1evxq/+j/8e//5X/0t0XfeZb+d8NovsH/7Sv+j/0rf/XOTZOIqVZ1FkZZRFHmVeRp4Nf0zv9xPK3/iP34lffO7Z+GdvXI3vfuXPxr/+o8/f9XW0XRdNV0fVNFG1VVRdE1VTR9M1Ubd11E0bdddE3dVRN03UfRuruoqqqWPZrKJumqi6erhs20bTt9G0zXDYtdF2XXR9N36fJrq+i67vo+276Lsuuuij77vo4l5z9bApwLIjp07fY/v0T/6un+et4n7ZjutPOv3Q/7Pt07P15+sY3zq+Hv0e43sa6Y4sIs+GkejptCnI16Gcb4V5UUSejUFcFlFMx4utYB6vbx3s40j3MOqdreM6P/SxGRXfjHpnm1Hv7RcB4yj89CIgL4rbIvzzfu6qqipu7e/F3t5+7C/3Y2//IA6WyyHa9vdid28IuIPlMlZVFXVTR9O20bXDc0j0ffT9vT8as66LRVvFsphHHPkZsyyLxXwejz36aDx74WI898yleP7Z5+L0yZP39D2/yP7glT+M125cj2+++FI8/dRTD/vmHGs//8u/FHtNFn/tr/xMXDn3+MO+OcfO7v5+XLv+erz2xo34wSt/GO998EHUdf2pv/7EYicuPH0uvv2Nb8SpnVPx1rvvxKs3Xo+33n479g4O7mrT77Ysy2I2m8WjZ87EhXPn4sozl+PyhYvx+OOPR3mH58FyXpRx8bFzn+mbHTdFnkeRL2JRLiLi1MO+OdF13To2q66KVdtE09ZRte36sO7qaNom6raJumujbuuomjrqtomqHQ7rtomma6Lp2vVHuxWlbddG228Ou75bH3ZdH12Mx++x/vLYioIsiyym0bt8jI6tkb2YLnN4FHA8JSKmMInI+oghaCOOJuxm5LZfj972MfwB7aKLtu3Gz4ePbjp+22FsfT5d88MP4iyGn/jwmPh4bLpx6xAcL9lvPlv/f/yZsoi482vC23/Sj59D3N/hGMfR6WY36uKxaI+u6d9HrFareOudd+Ktd96JX/uN767PKooiTp04GefOPhlXnrkUzz1zOS6cP3/HPxBfJt/5lf8UZ/uD+Hf/99X4zt/+qw/75hxrH1R51P1O/OJ//l7885/50w/75jxwVdPEjTfeiOtvvRHXbrwR19+8ER/t7t7ViFuWZbGzsxOzchZVtYq6bqLthrA7WC3j5atX4+WrVz/19ZVFEadOnoyzTzwRX3/hxfipr38zTh6Z43e3yq7/7EOIn68v35+aPM9jccyCtOmbMTIPB2Y1jYp2U4w2Y5jWsWrGrxkv33TT+dMo6RCkU4w2/dEobdcjpd36o497ue9NI1h5lg0j1OPxYaRpHBFab9LNoxg37RZZsR7dLvMyyqKIWVFGkRcxz8v1puQyL4bLRxbZejRquP4i8ogsi2Ko38jHyaVt1w0jPf1mpLjru2iaNpq+iabrom3b4Xcy/n6aphkOuyaattv6PTbR9n103fbvrIu276OPIexvD94pcrt18EbEOoAj4tDpRoS/HLI7lPwn/cu2bRsf7d6Kj3ZvxQ9eeWVzPZHFfD6Lxx55NC5fuBDPPnMpvnr52XjkzJn7crsftLzv4i9c2Il/+k724y+cuK7P46XFMl6u3nvYN+W+mDbTvv7Gjbj+5pvx+ptvxPsffhjL1equ9q79JH3fx8HBQRzEwSdeLsuyKMsyvvLII/HM0+fjxee/Gi88d+We4+7TKDs7AScjz/OYxzzmxTxOzR/2rRkehG3fRN22UbV1VG0TdVsNh10dq6qJZbMaRk+bOupmOFw1Ry/bbDbVt0PkDtfdRdO1UTXVEFN9F/0UUWM0dX23iafPKYeOjubd7sGF13qj8LjZdz0PczxtPPfQ/Nztccgs+ogs2zwp9n1040W7zaTaTYTGdLFD45NC8x4dGRte/3u1UUbeDyPDeUTcy6h2H32sqirefu/dePu9d+PXv/ebm+86blI++8ST8cKzz8WVy5fi8vmLUZZfjJXE3vtod/174tO5fKqM7+/detg34zObNtNef/ONuP7mm/Hu+zdjd38/mqZ5YLchiyxmszIeOXMmLpx7Oq5cuhyXnj4fTz755LEYcS+7z6l275WH5d2Z5ju2fRd120Y3bR7ux+NtF00/jcy10a7DqB83HbfjKFUbbd+v5zQ2XRfdOAo1RdQ0ktf1/Th6NVym6bbP24x4tVsjYP34eT/NlVyPWg2jgEdHsbqtOHsQpvgZtkbnH3M/3N4Ee9ihjaX97RtPH/ajax1g64B78Lchi4cXxZvpB9m4I9E4ulsUMZuVMZ/NY7FYxM5iHjvzRewsdmI+m8ViPo/ZfBY780WcWMxjMVtEUZbD/XM95WAY3W3bcRS83To+jfaOI75d261HfJtmeNHTNs2hrxsep2103fA468bHYN/HeiS47zePkXq5jCZbDDGeFZH1H7+3373q+z6Wq1W8duN6vHbjevzX/3n4/NlsFl955NG4eP5C/JEXvxYvPPfcsYrD7119Owp/ZO7K5TOziI9WD/tmfKztzbSvv/lmvPHWW/HR7q2o6/qBPM1lEVGUZZw6cSKeevJsXL5wMZ4+ezYuPn0+Hjl9+gHcgnt3jDYBfz6maBkCZdqs1kTT9Vtz7cZNmW0b9bhJtGmaaPou6nbYTl934ya7brieYbPcGFFj3GwHz3S867phzl03buacNtfFtNmzXz+RT39Ibp+3Foc+j4jPfZTqi27cx/jw3sYx7tCwNe8wj+05i5s5ikVeHPp8On5ojuORr582M693kNj6mjyfLjsdny4/fk2ebW2mLiKLWP+Rb6LbHB+Dum6aWI0jnFVbbW2W38z/XG8SnmL6mN43PsuMwml0cr0X97gDSVmWUZazdaSdWOzEyVMn4+Q412Y2K2NWzmI+ny6zGCJvPo/5fPh8Zz6P+Xx+X3Zsa7ouqqqKarWKVVUNH3UVq9UqqrqOuq6jqquo6mZzvKpjVa1iVVdRV8P0jH58nuj6fozCbvMxvXDqu8j7JopxOsD0GNje5P+g1HUd79x8L965+V5897e/94mXnf5NI4b5wxFx++oC27JPePmQZR//smLrvP0mYqe+Ff/rhx/E6ROX4h99559EmRfj/amMeVnGbD6LxWw+3Gfms5jP5jGbzWI+vlAYjs9isViMlxvvV4tFzOfz+zKi0433p2VVxapajfeVarzfVFHV9fhRRV03UTfD+cuqGued1ePpwwuPth2fO9rphXwffdet51BPf3tOtE38t9/5YZw6dT7+7i/8/O2/4+zT1/Sn/dqjo9xd1z70Z7Qiz2M+n8fpk6fi9KlTcebU6Xjk9OmYzWablSXGHdryvIhbu7vxB3/48maZt3HHtbIo18enZd2Kshh2tF1fZlhJonyAy7llf+fnfrn/ybPPD69mxz9C7RgtXd9GG/2RV5+b+Vvd+tVod2j05tCr5DsdRhy6s0X00dTLuHTwXlw/8Xisip2YZ5vJ/xGb5Vs+r2VhjoPb9uXcXlIlpnULjy6rstmRYn18a5Pedvxk6+DYnF/EZs/OTdDkm3l0ka2XS8kijyyP9XUOcbQJn8PhtPl+h/Ygna7z0EjM5vtsrmucrzfFUgxrMeZjhK2vL4bb/qDUbRdVN+wpXjX1GGVt1E0VVVvHsqli1VTDXuRtHatx3mTTtVGv5/qNj6tp/t5djrrfcS/wce+RO+wy85kcvT8dnlM5PEHNxnmR5Xpty3KzJE6WRz7uUTxuOI48y6LvYwjWZtqZaWu0bBpp7rtouylkD49yHX7+uLef8Yvk6Kb7Q4/x8XHUNnXsLPeizyN2dx6PM7PDj4s73c22f3vr3/XWC9Tt5+8HbXvnsHx6vpvOu2M03OFW3vFnjmj6iJOrW/FYsxs3TpyNIo9E7093+Jux/bw8Pt5v7d2Kb9TvxW8tnoonT50Z/lZPv6k7/R0+8ly0Pc94/JK14X4X44BJu+mJJP4ljpdjsxD0e8W5+LB8KlbFPObdMlbFiYd9kwCOrz7iser92J09EkVfe878MU7XP4oqPxFZ1LEqHv5OecfZiWY3+phFZE0sj9nv6mx1I87WNx72zfhSKB+Zn45vn38xihgX0M2HOTLltNdkPu0ROawRuF63K8ujWK8ReO8jMv/4f/+H+LmvlPErH/4ofu/MH4+ffeHJz+HH4zjpuj6aftgpY9U2sWqqcdRs2AS/aof1GJfNatzRY9jZo2nr9Wha0zXreYkPer7gx8kPvZoeN1keHTkrypgXZczKYXPSTjkfNlmWZcyK4bR5UcZsNo9FOWyKKvNiGElsm2jHPYnrcSSt7dph/tk00tg2417Im8s07fj7mjb7dNNexv2hJYL6O4zcxwMccduMdsdmB5V8HPlaL949rRc4bCopxhHIsiyiLGfDYTE8TxVFHrNy2KN7Vk7v0FPErJxFORv+HfLi/mxi6bou2qYdp5W0601vdTMs/dQ2w79RszXvr27aaOphOaimGUZIu3He7nqEZBwhXW+q6yP6tolHV7eiLsr4aH4myjv9Sx19av6E/SDu+lk8OzriuDXX9JiYtjo0fR4nqr14ov4wXj1xMR7dySPLh/tJPo1ql+N9ajYb3sUp334npzKKMo+yGM4ry3K8bxUxK2ZRlMV9uz91bTc8D46beNu2Xd+n2m68z0zH23b8vB7vS814P+vWh9N9qevG1QK68Tm034zm5W0d5/ffieunzkV/DHZW+CSbtU03byIwrW8akUU+rYmaHRn5nN5wYD1FZ9jqVGyvXbp+04FsvaXj8Nfmm3cRy7MosmJzXUffRSzbXOc0rWUacc2KzRawvCiG5dUewO+9PDnbib/47T9/37/Rj5WVceHMkzG/tRft4on42tkrD/sWJavruli1VSzrZezXQ5AdVMPhsl7FQbOKvWo/9qplHNTDadNm0NU4x7JZb/7stqYJPHjbm6+nhYWnJV5mxSa+dtYfOzGbzcalYfL1g75Yz1sawqTr+2FeXlMPP389zsdp63Hh3ynAhj/0VVPFQbXczBO9w04wU3Tdr+SaAms42JpGkOWRF1nMDr314PRHsRzn1m3m3S0Wi5iX83EniiFa57NZzOfzWMxnMZ8thsP5fD3nrixL707xOfuX/+Zfxe+9+kEUWRXf/hN/Kv7yn/zph32TPtFyuYyrN16Pl69di1euXo2bP/owqqq6r9E4RWkeXWRZF3VksYhlHKyKj/2a9QuSozsQjS/ohhcTw4uL4b4/j53FMK90MX4+XwyPlZ3FIubzRczKMhZFEVlZRp7l6xdlbduNL97GHfWacb7e1k5Cw2nDXL4hBMe1Y+vxxd344m+aK9q2m/no6xd23eEXD9OzzPbvfvt4FhHtOJnjQT9vF3kep06ejPNPnYsrly7HxafPx/mzZ297X1vuXdl9zLKxD9rxet34xdB2XazaVRxUy1g2q9ivl7Gsqli2Y6hVy7hVLWO/Ooi9ej8O6mUs6ypWbT3uCLMdaQ9+R4JxluFmzt+0Zt8UIuM7Pkwj0UWeRx7DO1Zsj1p10UW/HtXq1nsrb++ZPM1XbZo6Vn11aP7p/fqJ7xhc+ebV5+a9nofRh2I7uMpyPcl8MZ+Pk9CnPzhlzOdDdC1mi3Fi+vak9J2YH6M9MLm/qj7iJ585/u9ssbOzEy89/0K89PwLt523v1zG1ddfi2vXr8e1G9fjvfffj4PlwfDOKZ+TLvv46NvWT3v0H7PRzPtlWoz+sD7avIj+7seFP5X5bBZPfOUn4srlZ+Onv/6NuPD00/fl+/DJyv5LthfwcdR2XSybg9ivVrFslnHQrIZQa1ZxUC/jR8u9+Gi5G/vVwXrEbdXU457IzdayLVub7B7A7V6vD7c1eThiaw/NrR1TtnfSGZ43u/Vo1nqHnzvsstBGf/itK+7hrZkP7UizFVx5lkVWDEE5z2ebxZ7HTYizca/SYUmQ4VX8bNyLdH3efHP6Ynqlvzg8wgUPQxcR37p09mHfjHtycmcnvv7Ci/H1F1687bz9/f145fXX4tqN63Htxo24+cH7cbBc3vX7oHb3KWa+6O70tySLPpq8iP4efmWz2Sx+4tHH4rlnnokrly/HVy89GycTfivC46g8PutAP/wHZ902602cB9Uyduv92Fvtxa3lQexV+7FbHcTuaj/2m2Wsxr0/q623aWvXy8Acj7lp92rzExzdxWs4+NjgyrPI83KYTzFtThxHuaa5M/Nxs+FivlivuTYfNzUu5vNDmxynTSo7s+Gy852dY7GIJjxsfUS04/I4X1YnT56Mb37tpfjm11667bzdvd145fXX4rUbN+Lajetx84MPYrla3TEOuyyLg/LkfRvV+rJZFfOIcZmeO48SDvPUTuzsxFNPPBHPPXM5nr/8bFy6eNHz8xdE+UWMlLqtYne1Hx8u9+Kjg1uxW+/H7nIItL3VXuxVy9irl+OctGq9/ER7ZJmJL9oSAJt3bohDk1qn+SnTRzntzPNp17gaNyfOZ5t5LA9ijSvgs8uyLLp+FX2R7qjK6VOn41svfT2+9dLXbzvvo93dePW1a3HtxvV47caNeOf9m/F+cyYO8hNxfrEa1pUsimFx8GknobIcRv7n81iML0CH59DhvGHe67RlYL5+wTrffsH6CVsEuq4b3oZzvU7kOH94Nb4H/DSXuG6iHtf2q8bTVqsqqmZaK7Ie5wmOO8cdWStyM9/v8Fy/T7tZu82K2C9PrvcZKsoyzpw6FRfPPR1XLj8bX738bDz5+OOf8V+N4yL7mz/7C/3FR58a14Ia30V0K5C2P99ewy+21v3bnlDaHdrstz3h9MiixnH4Ttm1VTy5+jBuLh6LKp9FcUxXBSry/NCeiWUx7HVYjvO2yrLYPEHM57EzTpqfFqmdRr6mzYoPcpFa4Mvjwx/9KP7Wv/0/8bVLF+Pv/ZnbR8fg06qaJqppsenVsHh51/Vx7uzZB/KetDwcx2YdwOi7yPo++iyLPvu4t+QaHFoeoihiVhTD8hmLeZzaORGnT52KUydOxokTJ+LEzs6wJ9Y0wrXYjIStR7jsoQgAJKR88bnn46PdW+Ok+PGtlooyiqKMWVEMb1dSDEPf0+FmWYjDmw8X0ybE+XxYQmLcdCiuAACOj+zmreOzGwgAAPefoTkAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMQIQACAxAhAAIDECEAAgMT8fxDuKAZrDTxAAAAAAElFTkSuQmCC' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# add a focusing mirror\n",
    "sm.add_surface([100, 2, 'N-LASF9', 'Schott', 16])\n",
    "sm.add_surface([1e9, 36])\n",
    "\n",
    "opm.update_model()\n",
    "\n",
    "opm.seq_model.gaps[-1].thi = opm.optical_spec.parax_data.fod.bfl\n",
    "opm.update_model()\n",
    "\n",
    "layout_plt = plt.figure(FigureClass=InteractiveLayout, opt_model=opm, is_dark=isdark).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "fbb733ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "411188d34c444ee78cc316237b79915a",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#spot_plt = plt.figure(FigureClass=SpotDiagramFigure, opt_model=opm, scale_type=Fit.User_Scale,\n",
    "#                      user_scale_value=0.1, is_dark=isdark).plot()\n",
    "abr_plt = plt.figure(FigureClass=RayFanFigure, opt_model=opm, data_type='Ray',\n",
    "                     scale_type=Fit.All_Same).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "95deb34e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f172bd8c715148d495c13c1590d59a90",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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rfz0Xd787NbS/LBwiCMAVzyJVS8HFurQdl4EjomTiDCARJU0sy8H5QyDT8rIkIZBISWJ/sjbcxF9w+8q3ZiCv2xzYLmy14e53p+LjB8+M9A/aQRze31/oqVkKblaBSRICmXkTl4EjovTAApCIkk5NqMNgMAxvW1FtN4f83E+poDz1RSPgFAJH9hdvwXJ6TBAhQhj+iQgR49rNCGeoVxZuLzyKv5zxcNiCTR5IWVpuCywFpyY0wpeyiSgZWAASUYh99Yfw6f469Pb1obigEA+suAdTSsviPm4sy8PFshScvGjymJZgrPPfA9tKM4KiKMIQ9BaMAAGIulSvFx5TtfQ4sutTuxQcgKj3grOARJQoTAETkUTjyRPYtOU9rLlvJSbbS7G/oR4HGxvw7JMbkJ+XF3HfaCngWJeHi2cpuGXZP0TpmN2Kxd+cAyW45Uix4hj33HcOlyb3hF4bgJbrd2H3wIu6LAVXbTfjwKX+sPdCvgwcwBQwEemHIRAikth7YD8WVc5DVeV8FBUUYPWKe5GXm4u6I/VxHzvW5eHiWQquyzcdAoaCHHJTTt0U2ugf474JIW2iODSLeOb6Wt2WgosWGmEIhIgSiY+AiSjA4/XCceUyllUvkbRPn1yBZsfF0P4eDzxeb2BbHK622jraA38ONtUMPLPAhJMdXtw8PgsLizwoMY1sAz7UOUaKoDnjBXzRMbI9e5wPTdeib5cZd2Gu6RUAyp+CiTSHlt0f+tdi4DMwiH0s/u1b8kU0dY5sVxf7UF0c/l5MNTvR2u4cPr+AovEFEUZNRBQbFoBEFOByueATReRYbZL2HKsVXzj7Qvrv2leLnZ/tCWyPHTMWP97wffzHH36PweuDEc9VP/wreBsAbjGWoMs4HvmeDnQcuCLZ7q5Xt12Uvz3i+r4+IfzLfj5B+a0YUQRm+7bA118a01j8212y7fqPr0S8F8Hb/vtKRKQXFoBEFEpWOAWnZYMtX1KDO6oWj/QTRXg9HjzxjXWKM4AAcLjNEzTrZQy7PXu8ETVlVtRecOJEhydq/+Dts5fdEJxbw16e2TU27M/GDmYp3xIBmFw6DQJmxTSWk50+VBZnY+5NIg61Xld17f7tkXPzvT8i0hcLQCIKsFgsMAgCevuks319ThdsVmtIf6PRCKNx5K8RURTh9HjCPq6sbXFhY/1Q8nVbswffvCUbbx53ht3ugA2v1Q+o7j+yfSeWZS8LGwKJVE4pFbrA0OPfw1ecqB/0xDgWYNv568MhkD7V1/KzZXlMARNRwjAEQkQBxqws2EsmoOn8OUl70/lzKLdPivv4ei8FF2n7zPWHFEu5iedzwxZ5wFABOPF8rkI70OZdpFsIRM1ScEREicICkIgkllYtxsHGBhxsbEBbezu27NiOrp5uLJ6/IO5j670UXKTtcN+3ipQAjtYnOAQSy1i4FBwRpRs+AiYiicqbZ8PV78LOz/ai19mHkoJCPLHuEYyL8g1ANfReCi7S9sTrx9FzNXQMZpf2v/bWlp+AY8ya2MbCpeCIKA2xACSiEEsWLMKSBYsSdvxoy5+pWSou2vaRk7k4rlAAjnErhzyCmQaU+0zKz8Hqm0dmB6ONJXT0sV87EVEicCUQItJNtJVAgpeCU7N6hnwlkOCl4sItDefftl//P+i5+puQMTz02zkY44lcBF7P8mLzk8dC2vMKN+DimL+Nem75Um9KK4FEu3alpeC4EggR6YUzgESUNPGGQLY19QaWilNaPzd4u3KsD3NNoWMweKIXUIYwnwncc9GLxsGeqOfefKoH1XZz3CEQPgYmokRhCISIkibeEIh8qbhIRdQYYUDxcaqq+TMxtJcIwCi4VRdw8qXeGAIhonTCGUAiSpp4QyAAUBc0k3bbRDOarg0qbl/23Iabx/5O0zjDfTvwimeRqnP7RGDltBysnJbDEAgRpSW+A0hEuon2DmA48nfpAMBgMMBisQwtT+fzSfoGF0mRtt2XvgNH64eSc33j17ciK8rDDx98+P2GzyVt9uJVME38d9XnVnMd8muOhu8AEpFeOANIRCkVHAzxv0vn9oqYP8GMFTMtqG1x4sjlfkmhpDZJO638cThaP4SIkVk90SAC4ZcCBgD4DCNH9O87rfzbaLkeW4q3tsWFo20DWFyeD7fbHbgOAJJrVgp8EBElEmcAiUg3WmYAXzrUiXdP98AnDhVawe/5yVPA0ZKz8u1HKw5gTPuTkvNpSQGfv34PJla8EtO55dsIuq5quxkHLvUH3vlbOzMXTy+K/oFqzgASkV4YAiGilAoOhvhn2/RYCs4gAFc79kCUBTqCZ/fC8WUFzQCKgEssifncwdv+EYQLiDDwQUTJxgKQiFLKHwxZOzMX37wlTzIDGM9ScD4RKBx/BwRBWvD15bmjjqk3qI8gAB7RFPO5lZalCw6I+K+Zj3+JKBX4DiARpVzwChp6LQU3tL0e73yyCa6ejwKzcCcWtOGOP0+JOJ6TC9oCfxYB3DEpC6vnj4vx3NKl4Nxut+Q6/NdNRJQKLACJKOWUErENV/phMvWgptQKn09EY+tAoH8sQYzcgm+hv+ejwPalyT24UNGFsrP5imO5UNGFS5N7AtsCgOycmpjP7b+m+RPMuGNyLnacvspl3ogobTAEQkS60RICibY8nHwJNQBh+4bbvtv8Q0wy7kZwfmLOgRLM+LwAWR4BoiBiMNuHs7M6cazqStD1ABc9d+Hj/hfjCn0oLWmnZfaPIRAi0gtnAIkopaItDxe8hJo/JRxrEOPL6w+hdMxuyXmPVV2RFHtKBAH48vpaTaGP4HHKwyxc5o2IUo0hECJKqWjLwwUvoSYPU6gNYji8y/Gx61/gyyqDqOKZhygCvqwyfOz6Fzi8y+MOfcjDLEz9ElGqcQaQiFIq7PJwYZZQAxB7EKN1AHOLH0bpmGLsPvBI1DEJAnDXwhcw7fpdGs81Ms5wYRYiolTiDCARpVxNqQVPL7pJVhhJp+rEsD9Rv11asgrFFa/humkFDMZCSR/T2CKMtczHddMKFFe8htKSVTEd2x/6mBvDiiVERKnCEAgR6UbrWsDB5KEQPUIgStv2rF242/I38IlZMAheXC94BW+crdJlpQ/5zxgCIaJ0w0fARJRW5KEQPUIgStsXPUPvBRZnHUKbdxHGXlsKgzCoeaWPSONiCISI0g0fARNRWpGHQvQIgYQLarR4luPQwI9wwbNc15U+5H0ZAiGidMMZQCJKK4FQiO4hkNDtrt5ubKo9jvU1t2DVbI0rfUQZF0MgRJSOWAASUdqpKbVgabkNFosFLpcLwMgsm7940roySOi2EOFnsW1H+llNqRXVdjOIiNIBQyBEpBs9QiB+BoMBFosFO05fxXO7WjWFL9QENyD6AMEQV6Ak2jheWFmGhUVG+Hy+uO4JQyBEpBe+A0hEaa3hSuTwBaAtBBIoowRD3IGSaOOov6RPUUxEpBcWgESU1uaVaA9fqAluQPTpEiiJNI4FE63Jv3FERBHwHUAiSms1pVbllUJ0CIUkKwRyx+TcwLuMRETpgAUgEaW9mlKLJDkbvF3b4kqLEEi4MRoMfNBCROmHIRAi0k0iQiAulytseEK+akgqQyDhVvdQcx1qMQRCRHrhP02JaNSSrxqSqhCIf3UPIqLRggUgEY1a8lVDUhUC4eoeRDTa8B1AIhq1AquGpEEIhKt7ENFowncAiUg3yX4HMF4fnLiMTbUnsL5mNlbNnpCQc/AdQCJKR3wETEQZqbbFhY31bjhMU7Cx3o3aFn6mhYgyBwtAIspI/gCJPwTCEAcRZRIWgESUkfwBEn8IhCEOIsokLACJKCPVlFrwzAIT7O6zeGaBiSEOIsooLACJKGMtLDJi2sBxLCziBxGIKLOwACQi3Yiifh8VEEUx8CtRBEHA2DFjE5qs1fM6EnkviCiz8DMwRKQbn88Hl4tp2kSxWLi2MBHpg889iEhXFsvQu3TxzqoNuN34+1/+K/72Bz9Etsmkx9BG7Tk480dEemMBSES60XN2ShAEDF4fhCAICXtEO1rOwY8/E5He+CyBiIiIKMOwACQiIiLKMCwAiSgtGbOy8JXb74AxK4vnICLSGVPARERERBmGM4BEREREGYYFIBEREVGGYQFIRERElGFYABIRERFlGH4ImojShmugH1u2f4QTTV8CAGZPm46v3XMfzNnZYffZtHUL6o8dlbSVTpyIH3z7OwCAffWH8On+OvT29aG4oBAPrLgHU0rLwh7v7IVm/GnnDrS2X0WuLQd3Vlejev7CiOOO5Rxnmpvx8pu/C2l/9qkNKBpfEPE8RER6YQFIRGnjrfffRXdvL767/hEAwOZtH+DtLe/hiXUPR9xvRkUF1q1aHdjOGv7kSuPJE9i6YzvW3LcSk+2l2N9Qj1c3vYVnn9yA/Ly8kON0dnXh1d+/jarKeXh49Rqcd7TgvT9vg9Vsxa2zZimeO9Zz+P3oe08je+zI0nDW4SX0iIiSgY+AiSgttLW344uzZ/H1r96PcvsklNsn4esr78epM0242tERcV9jlhE5Nlvgl8VsBgDsPbAfiyrnoapyPooKCrB6xb3Iy81F3ZF6xePsP1KP/NxcrF5xL4oKClBVOR+L5lZiz4G6sOeO9Rx+NotVMmY9l9EjIoqGM4BElBaaHReRbTKhbKI90FZmtyPbZEKz4yIKx48Pu+/ZC814/sWNMJuyMaWsDPfdeReys7PhuHIZy6qXSPpOn1yBZsfFsGOYPrlC2n9KBQ4ebYTX6w3MLPp5vN6Yz+H34quvwOPxoKigEHfX3I6p5ZMj9ici0hMLQCJKC31OJ2wWa0i7zWJFr7Mv7H4zp07F3FmzkJ+Xh86uLmzfsxsvv/k6Hv/GOvhEETlWm6R/jtWKL8Icr8/pRI7VKutvg8/ng7PfhVxbjuRnLpcr5nPk2mx4aOUq2EtK4PF6ceTY53jlzdfx1KOPoaIs/LuJRER6YgFIRAm1fc+n2PnZnoh9/vrxocAGhNCfiRAhKP1gWOXNswN/LikswqQJE/DzX/0CTefPKx4z2vGU+g81x7ZPuP6F48dLZjPL7ZPQ1dODPQfqWAASUdKwACSihKpZuAiVs2dH7DMuLx+X29rQ53SG/MzpcsFmDZ0ZDCfXloP8vDz0uZwwCAJ6+6QzcX3O8MezWa3o7XPK+jthMBgC7xUGs1gsMZ9DSZndjiPHj6nuT0QULxaARJRQVotFVcK13D4JA243Wi45UDr8HuCFSw4MuN0ot09SfT5nvwvdPT3Iy8mFvWQCms6fw5yZIwnepvPnMHv6jLBjODn8CRq/L8+fw6SSCSHv/wGAMSsr5nMoudTaGvIYmYgokRg7I6K0UFRQgBkVFXjnww9wweHABYcDmz/8ALOmTpM8Mv2n3/wbjp0+BQBwDw7iTx/vQLPjIjq7unCmuRmv/WETLBYL5syYiaVVi3GwsQEHGxvQ1t6OLTu2o6unG4vnLwAAbPtkF97e8n7g2IvnL8C1nm5s3bkdbe3tONjYgEONDbijqjrsuGM9x96DB3D8i9No7+xE69Wr2PbJLhw7fQo1Cxfpej+JiCLhDCARpY1HVj+I93d8hN++/QYA4ObpM7Dmnvskfa52dmDA7QYAGAQBV65eRf2xzzEwMIAcmw0VZZPx6JqHYDKZUHnzbLj6Xdj52V70OvtQUlCIJ9Y9gnHD3+fr6etDV0934Ng35efjO+sextad27Gv/jBybTasvufesN8ABBDzObxeLz74eCe6+3oxxmhEcUEhnlj3MGZNnabPTSQiUkHo6PWJqR4EERERESUPHwETERERZRgWgEREREQZhgUgERERUYZhAUhERESUYVgAEhEREWUYFoBEREREGYYFIBEREVGGYQFIRERElGFYABIRERFlGBaARERERBmGBSARERFRhmEBSERERJRhWAASERERZRgWgEREREQZhgUgERERUYZhAUhERESUYYypHgARjU4+ny/wZ0EQUjiSzCSKYuDPBgP/LU9EsWEBSESauVyuVA8h41ksllQPgYhGIf6zkYhSShAEWK3WlM0itnW044Vfv4S2jvaUnD/V109EmYkFIBFpolfBIghC4FcqiKKIweuDkkeqyRTv9bNwJCIt+AiYiEad2hYXGlsHUFmcjZpSS9i2G30MRERasQAkolGltsWFn+xug0EANp/qwc+WFQGAYpuaAu1wmwdN2XNwuM2DVQVQ7Ke0rWYMLAKJKF2xACSiUaWxdQAGAfCJgEEAjrYOQAQkbduaerHP0a+qSNxY7wZMU7Cx3o38HFdIv2/ekoc3j3dL9lMzhqOtAywAiShtsQAkugGcvXABn+7fB0frFfT29eGxh76BW2bMjLJPM/60cwda268i15aDO6urUT1/YZJGrF1lcTY2n+oJFFtzi7MBQNKmVIxFbIMhbL+Dl/pD9lMzBn8bEVE6YgFIdAO4fn0QE4qLsWhuJX73x3ei9u/s6sKrv38bVZXz8PDqNTjvaMF7f94Gq9mKW2fNSsKItaspteBny4pwtHUAc4Me5Qa3AUCdo19Vgbb5VA8g+uCDQbHfbRPNaLo2KNlPzRg4+0dE6YwFINENYObUaZg5dZrq/vuP1CM/NxerV9wLACgqKIDj8mXsOVCX9gUgMFQEygsseZvaAu2ZBSZsqj2O9TW3hO03q8AUsp+aMRARpSsWgEQZqNlxEdMnV0japk+pwMGjjfB6vcjKygrZx+PxwOP1Brb9n02J9xMu/n0FQdB1RYul5TYsLbdFbVtUPAb1A8exqHhe4Pzyfkr76UXr9YuimLJP1xDR6McCkCgD9TmdyLFaJW05Vht8Ph+c/S7k2nJC9tm1rxY7P9sT2B47Zix+vOH7sFgsunyLzmw2K7bvOd+Dww4nFtqtuGNyruo2tfsd7RTQlD0HRzsFVJRbNJ9P7Rhivf5wRFGE0+mMaR8iIj8WgESZSlaziRie0ZP/YNjyJTW4o2rxSH9RhNfjgcvlinsG0Gw2o7+/P2RGq7bFied2tcIgAG9/3oHnlxcDQNS2R2/Nwxufd6va7+f7ewHTFPx8fy9aXC2q99MyhppSadEd7foj4ewfEcWDBSBRBrJZrejtk84e9TmdMBgMsISZiTIajTAaR/7KEEURTo8n7keR/seeoijC5/NJfnbksjSB23C5PySlq9R24GKM+w2ngGPeL8YxVNtD722k6yciShQuBUeUgcrtk9B0/pyk7cvz5zCpZILi+3+pUlmcHSig/AlcNW23TTTHtB9En6b9Yh0DEVG64Awg0Q3APTiIjmudge3Ori5car0CS7YZ+Xl52PbJLnT39uLh1V8DACyevwC19Yewded2VFXOR7PjIg41NuCRr61N1SUoiuVzK2qSu9FSwKtmj1O9n9YxEBGlA6Gj18cXSYhGuTPNzXj5zd+FtC+YMxfrH1iNTVu34Fp3FzZ867HAz85eaMbWndvR2t6OXJsNy6qXxPQhaD1CCLUtLhxtG8Di8nwsLDKm5BFoa/tVvPzWG3jqkUdRXFCY9PMbDAYcbvNgf3MX5hbFXiharVZdQjhElFlYABKRJvEWgMHr6fpE4Pnlxai2m6Ouw+vfN1qb2v0+OHEZm2pPYH3NbKyaPUHz+bSOoc7RHwiP+ETEvIYwC0Ai0oIFIBFpEm8B+NKhTrx7uifwntzaWXmYW2SSFIXB6/D6iyMAkj5KbbHuB9EHCAbN54tnDEfbBvDHU0H3YWYunl50k+r7yAKQiLTgO4BElBLy9XTnlWSHpH6V1uFVs85vzPsNp4C1ni+eMcybYMY7J7mGMBElF1PARJQS/oDH2ll5eGFlGWpKrXGnedM9Bay0X02pFS+sLMPaWXkxP/4lItKKj4CJSBO9VqIwGAywWCxwuVzw+XxDwZCg5Kx8G4CqNrX7Db0D6E8BT9B8Pq1jkF9/rPgImIi0YAFIRJrEWgAqBSKA0AIw2dIhBcwCkIiSje8AElHCBSd+N5/qCTzqlH8Gxt9Xr4Svmv0Ot3nQlD0Hh9s8WFWQ2MRvuLY953s0fwaGiEgLzgASkSaxzACGJH5n5mJucXbIZ2B8PlH3hK+a/eJNAceTHjYYBH4GhoiSjjOARJRw8sTv3OJsNLYOSNfKvTIAURT1T/iq2S/OFHA86WEIoW2cBSSiRGMKmIgSLpD4nZkbmOGSJ2LnlSQm4atmv3hTwPGkh+eVcM1gIko+PgImIk30WwrOjcXleYGl4PRM+KrZT68UsNb9RpaC68bcIhOXgiOipGABSESaaCkAlQIQTAGHXn+4xLQSFoBEpAXfASSipFBKAgPI+BRwbYsTx9q7MafAGFgLWSkxTUSkJ84AEpEmsc4AypPAiyeasc8xEp7IxBSw0n6NrQMhielIawNzBpCItOAMIBElhTwJLE/EZmIKWGk/pcQ0EZHemAImoqSQJ4G/Oi0n41PASvspJaaJiPTGR8BEpAlTwPqMqc7Rj+MdHtwyfugdwFjxETARacECkIg0iVYAqg1FMAUcPQUcKRXMApCItGABSESaRCoAg5OskUIR/hmwY+0eSQo2USlcpT5DM4AnsL5mdmAGMJkpZKXrjxYUCS4CWQASkRYsAIlIk0gFoNLavyIQdT3gRKZw9UoBJzopLE8BV+SPxdmuwbCpYBaARKQFU8BEpLtwSdZo6wEnMoWrVwo40Ulh+b27baIZTdcGmQomIl2xACQi3fmTrPIAhFKbmmInWjGpZr9IfSD64IMh7uPosZ/SvZtVYAq5b0RE8eAjYKIbxL76Q/h0fx16+/pQXFCIB1bcgymlZYp9zzQ34+U3fxfS/uxTG1A0vkDV+fRIAQMIScEmMoWrVwpYzzEyBUxEqcACkOgG0HjyBDZteQ9r7luJyfZS7G+ox8HGBjz75Abk5+WF9PcXgD/63tPIHmsKtFstFhgM6j4PqlcKWB6CSLZUp4C1hmD8WAASkRZ8BEx0A9h7YD8WVc5DVeV8AMDqFffii3NnUXekHivvWh52P5vFCnO2/u+UhVv3N1Lb20HBiGSmgLWsBaxXCjj4Pr0tC4pEum98DExE8WIBSDTKebxeOK5cxrLqJZL26ZMr0Oy4GHHfF199BR6PB0UFhbi75nZMLZ8c/jweDzxeb2BbFIceHgiCEDIDdbRNGu442uYGIEZt+/OZPtRedAWKneeXFwOQFkBKbY/emoc3Pu/W1GdjvRswTcHGejdar1/TfBwtY5Tfp4OX+1Xdt6XlNoiiGPhvQEQUKxaARKOcy+WCTxSRY7VJ2nOsVnzh7FPcJ9dmw0MrV8FeUgKP14sjxz7HK2++jqcefQwVZcrvDe7aV4udn+0JbI8dMxY/3vB9WCyWkAJwcXk+3jk5Em5YXD70GDpamyErS1LsHO/wQBQRte3QJXd8fYZTwHEfJ8b95Pfp9sm5aOpsj3rfLBaLbu9gElFmYgFIdKOQvQYmQoQgbxxWOH48CsePD2yX2yehq6cHew7UhS0Aly+pwR1Vi0eOL4rwejxwuVwhBeDCIiOeX16MhisDmFeSjYVFQ3/VKLeV4HjHddwyfgwAEXubewPFzi3jh/q8HVRMKbUtmmjCFx0Dmvv4U8DxHifW/Ybu08j115RaMC0vK+p9c7lcnP0jorgwBEI0ynm8XvzdP/4cjz74EObMnBVof3/7R7jc1ooN33pM1XE+rt2LI8eP4UdPPa2qv14zUPKl0DItBRzvUngMgRCRFpwBJBrljFlZsJdMQNP5c5ICsOn8OcyePkP1cS61toY8Ro6XuvCEE8fauwMpWH97Y+sAAAS25f9SrSm1SMIQ8m21fRYWGVE/cBwLiyrjOo68LVxyV34d8uuPNQVMRKQFZwCJbgD+z8A8eN9XUW6fhP0NR3Cw8QieeXIDxuXlYdsnu9Dd24uHV38NALD34AGMy8tDcUEhvF4vjhw/hk/qavEXa78uKSIjUfMZmEQtoRYuUZsuawGrua54lovjWsBEFC/OABLdACpvng1Xvws7P9uLXmcfSgoK8cS6RzBu+BuAPX196OrpDvT3er344OOd6O7rxRijEcUFhXhi3cOYNXWabmNK5DJvgDRhq+bzKeH6BKeAr7ivaT5OcJ9qu1m3a1Xaj7OARBQvFoBEN4glCxZhyYJFij9b/8Bqyfay6iUhn43Rm9o1bbUsoaaluEzmWsACRv6ciOXiiIjixQKQiBJC7Zq2zy8vDlkKTc1+6bwW8MppOVg5LUfVWsjy61e6VqX9iIjiwXcAiUgTNSlgNeEFrSnY0ZACVkPN9XMpOCLSG2cAiSghlJaDUw5vSFOw/n2jhS6A0ESt0r9m1fSRf0RR63GC29SGSY62DWBxeX7gm3+RlovjUnBEpBfOABKRJtFmAF861Il3T/cE3oVbOzMXc4uzY069JqMPRB8gGFI6nueXF8PnE0MSv42tAyH38elFNwXuM2cAiUgLzgASUULIQyAJCW+kaQhES5+GKwMQRTFkP6X7SEQUL0OqB0BENyZ/CGTtzNzAY8vK4mxJOva2ieaQtGwq+kD0pXw880pC+/jfJ5TfRyKiePERMBFponUpOHlYos7RH5IC1ivgkcoQiOo+bW4sLs/DwiJj2KXwIuEjYCLSggUgEWmiVABqWZ2jztGPY+0eSQgk0VqufIDW9k9RXHAnxhpvw8tvvYGnHnkUg56DgfbSklUJH4c8BOIvANUEYPxYABKRFiwAiUgTeQGoZek3tcu8+Y8fqTBSu8+x5i2wdD6FoeSvCIOxHL39g7Ca+gBfL4bejPGhuOI13DNnrapza+kjvxdKIZBw9ycYC0Ai0oIFIBFpIi8A5anfivyxONs1KEmvikDUPvKksJrCMZZic5Xlmyg0Ho9ybUCL5y7cVfVW1HNrTQFX2804cKl/5Npn5UEUxaj3JzgBDLAAJCJtGAIhIl3oFZaQJ4WPtg5ETQ8rpW6V9ikz7opa/AGAIABlYz7B8eYtqpLLWvoIkC4XpxQCUbo/RER64GdgiEgXapd+k/eZXZQdEgKJdc1cNcuzVY3bi/7BFyCKQwVeNKIIjPf+ASXFq3Vdds7fFlguThYCUXMPiYjixUfARKSJ1hSwnNJSaFpStpH2mZq9G61nH9c0vmVVb6Hl+l0JSQGHu/5Y8BEwEWnBGUAiShg1YQkA2HO+B/ubuzC3aKRN6V+m8rbgbf9+ja0Dkm0RQH/vZ5qvobV9D5B3V8Rzq1mqLty9ULMUXLT1lImIYsUZQCLSJNoMoDwVrBSE+NmyIhgMAp7b1ap7yCK4T+XYFzHX9Iqm68wr/hu8+OVf6hJAidSHKWAiSibOABJRQiiFOUQgpA1C4pdaGyMM/TzWMkkE0N51POYAipbxKi0Fp7QfZwGJSA9MARNRQigta6bUNq9EmnRNxFJrZqE15uIPGCoYx7h3wJ61K+y59RovU8BElEx8BExEmqgJgagJQhgMBhxu82B/czfmFpl0X2rtePMWmDufiutaLXn3oc36a00BlKh9oiwFF21pOD4CJiIt+AiYiBImUjAjlBhha2jf4AJIvh2uz9juIzjVKYQ9qxrjsrPwUNAHmLWMBWFHMNKqJkxCRKQHzgASkSZqZwCjhRrUhED0WfpNu7ziv8HFrGc0L0MHhIZf5G2P3pqHNz6PHBRhCISI9MIZQCJKGDUrZKgJgQAjhdDmUz2SInHzqZ6QYknaZzG+br0JFkOn5uuovdCJ+sEexXOrGUu13Rw1BHLAET0owhAIEemFBSDRDWJf/SF8ur8OvX19KC4oxAMr7sGU0rKw/c9eaMafdu5Aa/tV5NpycGd1NarnL9R1TJXF2VFXyDAYBLxzMnIfNYVkpORtr680rgLQC1NcKWABUAxzSFYqsZvR1Bl59RCGQIhILywAiW4AjSdPYOuO7Vhz30pMtpdif0M9Xt30Fp59cgPy8/JC+nd2deHV37+Nqsp5eHj1Gpx3tOC9P2+D1WzFrbNm6TYuNcvDGQwGvLCyTBICUVr+LJ7l2Ixwa/oMjF8W3GHPHdOyb0rL4gWFQGbeFH3pPCIiPbAAJLoB7D2wH4sq56Gqcj4AYPWKe/HFubOoO1KPlXctD+m//0g98nNzsXrFvQCAooICOC5fxp4DdboWgH7BLxorhSPumJwbSMEq9dG6zrC/z01dORh0aR9/TdlNKM/KDXtuNWPxX4fkuKUWLC23BZaCU7o38vtHRKQHFoBEo5zH64XjymUsq14iaZ8+uQLNjouK+zQ7LmL65App/ykVOHi0EV6vF1lZWbqMLTgEEvx+XLSl4NSmYZUKI3mbYWA7Bl0H47qO6/2nINoinyfaWNQsBacULpHfP84CEpEeWAASjXIulws+UUSOVVqh5Fit+MLZp7hPn9OJHKtV1t8Gn88HZ78LubackH08Hg88Xm9gWxSHypu2jvbAn+X2nXdL3oV772QH6tu8gYLmmQUmCBDwz/VD7/i9c7IHX6sw4v2zHkkfANhY7w60xdKnKns3Zo0B4gnKnupwY7ejR/Hceoz3nZM9WFMxBu+dvS7pc7LDK7l/+853Yqp5KHktCAKKxhdovygiymgsAIluFLICR4QIIdJbbwr9h5qV99m1rxY7P9sT2B47Zix+vOH7+I8//B6D1wcV92k3lsBnWwyIPvhgwPmLF4ExxfDBAIg+bKo9PjQQ05RA284v2oGsXN36XPbchpvH/i7KzYusafBB+EQonluv8e744mpIn3xPh+T+tRz/DC83XpHcfyIiLVgAEo1yFosFBkFAb590tq/P6YJNNsvnZ7Na0dvnlPV3wmAwwGI2K+6zfEkN7qhaHNgWRRFejwdPfGNd2BlAADjc5sHJDi9uHp8FYHJg1ssHA9bX3CKZAfTBgK/MKAjMlvn7AJDsF0sfh3c5rnpuQaHxeNR7qciQgxbv3WHPrdd4V8woDMwA+vssLDJK7t/CorsDw+K3/4goHiwAiUY5Y1YW7CUT0HT+HObMHAlwNJ0/h9nTZyjuU26fhJNNX0ravjx/DpNKJoR9/89oNMJoHPkrQxRFOD2eqI8hVxUAq4K283NCl4IrKZIuBbewNHT5M/l+sfQp6rPD1aOtADQZzSGBDvm54xpvUAp4QWlfSB/5/SMi0gMLQKIbwNKqxdi05T3YSyag3D4J+xuOoKunG4vnLwAAbPtkF7p7e/Hw6q8BABbPX4Da+kPYunM7qirno9lxEYcaG/DI19bqPjZ5sEG+PNzScv+7iyOziGqXkFMTAhEBjDHfDPR8BACYeD4XN9cXIafbBINPgOADBBEQBUA0AD6DiL48N04saMOlyT0QjeW6BVKUQiHzJ5hxx+RcuFwuxX3CBWKIiOLBpeCIbhD76g9hd10dep19KCkoxP1fuQcVZUMfgt60dQuudXdhw7ceC/Q/e6EZW3duR2t7O3JtNiyrXhLTh6C1LAWndQk0+fJwSsvFKe1z9s+78N9qfwmzdxCI8o6j4jUO7+ODAZ+V3gbz/3g+6ti0jP+FlWVwu92SJfG4FBwRJRJnAIluEEsWLMKSBYsUf7b+gdUhbRVl5fgv33kyoWOSr+ChdQk0Latv9H+2Bz/ZszFoNLEXSf5iMQsi7mw5gCv/+2+w9cmfx7UqidJ2/SUnrl+/zqXgiChpDKkeABHduCqLs0OWQJO3VdnNUfvcNtEccVtpnzu6T+v+AeWSllNYduVIzGOJNv4FE62YVxL9OFwKjoj0wkfARKSJmkfAwPDHjmXBhuC2peU2HG6ThkCU9ou2Ld+n2lEP7/N/q/t1Gx5cj/0r/zKmsUQa/7wJZqyYWQiXy4W9zaEhEKVjB+MjYCLSgo+AiSih1C9vFr0l2rbkXKVL4c02AwP96gergnDrfMVrijUEonafcPePiCgenAEkIk3UzgDKyYMheoVAlJaQq21x4ZZnvg5zv/8bibH+dTcys+ax2JD9o/8BQ/VSyXnkY9UzBKKm8OMMIBFpwRlAIkoqeTBErxAIAMm6uYEia+1LgaLrVNPzmGt6RfVYrxe8gjfOVo0UZfYiQLY+b7XdnLAQCGf+iChRGAIhoqRKVAhEXlgqFV2Ng/8FPV47IixcAgAQRaDl+l04cG1pSFEmP48AxD3+cCEQIqJE4QwgESVVTalFsrLG0nIb5tnzQkIg8tU3ZhWYIm4DQzNywUVW07XBkO3znq9GnQUUBODL62uxtEJ6DH9RFnyeldNysHJaTshY1I5/XtCHoOX7EBElCt8BJCJNtL4DCEhXtxhJAXdhblF8hY/a5O1NXesw6DoY9jhu2w9w8/TnVCd8tY7VvxKIPwXs8/liPg7fASQiLTgDSERJVSt7h+7RW92BEMg7J3siBjrkS6IptalJ3k6auQXmvn/EF+dexnVPN0RxaNbPZpkKa8nfoWlgWcRjyNtiHSsgfV/RZDJhYRH/Oiai5OEMIBFponUG8KVDnXj3dE/gfbeKcWNx9tpgYHvtzFzMLc7Wfbm1cMd45bO3UZx1EK3e27B05oOalpyLdZ9quxkHLvUHrnn9rePx1Lw8zgASUdLwn5xElFSVxdmSd+iq7GY0dUrfs4sW6NCStA13DId3OVo8y2PaJ95l6uTBkQUTrSn9b0JEmYcFIBElldoQSKRAh1IYI1zoQ80xIPrggyGmfbScRyk4EhwCISJKFj4CJiJN4gmBBDMYDLBYLCEhiFiXflOzXJzSMT44cRmbao9jfc0tWDV7QkLOq7RPtOtXi4+AiUgLfgeQiFJuz/ke/OpgO2pbpLNgWpZO07L8WvCKH4k6r7yttsWFlw51orYl/iKaiChWnAEkIk30mgGsc/SHLIEGRA5a6BkC+cnuNkD0AYJBU6BDj31eWFmGhUVGzgASUdLwHUAiSqmGK7EHLfQMgRgEwAdDUkMgSkvBLSzKS+l/ByLKLHwETEQppbQEWrSl1LQstxbpGBB9Me+j5TyRloIjIkomPgImIk30DIEMrQQiTQHf6CEQ//Y8rgRCRCnAR8BElHJ3TM5VfAdO7zCGvxhrbB2QbKciBFJTakFNqQUGAx/EEFHycQaQiDRJ5GdggpeLS0YYI9khEP9yd+GuPxacASQiLTgDSERpJxErgUTcJ8khkKOtA5JvARIRJRsLQKJRzjXQjy3bP8KJpi8BALOnTcfX7rkP5uzssPts2roF9ceOStpKJ07ED779nYSOVS35cnGJWpHD3yfZK4H424iIUoWPgIlGuX/f9Ca6e3vx0MpVAIDN2z7AuNw8PLHu4bD7bNq6BX2uPqxbtTrQlpWVBYvZrPq8o3ElEKV9uBIIEWUizgASjWJt7e344uxZ/NW3n0DZRDsA4Osr78ev/vM/cLWjA4Xjx4fd15hlRI7Nlqyhxswfkgi37RdvGGOIviEQpbGGGz8RUSpwBpBoFDvY2IA/fbwDP33mv0raf7rxH/HAV+7BormVivtt2roFJ748jaysLJhN2ZhSVob77rwLNqv679ElegYwmmhBkVSFQIIDHom8fj/OABKRFpwBJBrF+pxO2CyhRZvNYkWvsy/sfjOnTsXcWbOQn5eHzq4ubN+zGy+/+Tp++MR3YTQq/7Xg8Xjg8XoD26I49G9HQRDiKkD8+wqCENMnUY62yYIil/sjbh9tcwMQlfv4QyDxHCOoz9Jy9TOrWq9fFMXAfwMiolixACRKQ9v3fIqdn+2J2OevHx8ObCjUXiJECEo/GFZ58+zAn0sKizBpwgT8/Fe/wKkzTZgzc5biPrv21UrGNHbMWPx4w/dhsVh0mYEyx/D+IQAsLs/HOydHghW3T85FU2d72O3F5UNLrSnt4w+BxHOM4D4WS+yPemO9fr1mYIkoM7EAJEpDNQsXoXL27Ih9xuXl43JbG/oUigCnyxXT49xcWw7y8/LQfq0zbJ/lS2pwR9XiwLYoivB6PHC5XHHPAJrNZvT398c0o7WwyIjnlxej4coA5pVko6bUiml5WWG3FxYN/XUn32c8+vB27TE8XDMH98/J1XQMeR+Xy5Xw6+fsHxHFgwUgURqyWiywqphFKrdPwoDbjZZLDpQOh0AuXHJgwO1GuX2S6vM5+13o7ulBjjX8o0uj0Sh5PCyKIpweT9yPIv2PPUVRjPkduGq7GdX2oZkzn88XdVtpHxEiAAEiRM3HUOqTjOsnItKKaxARjWJFBQWYUVGBdz78ABccDlxwOLD5ww8wa+o0SQL4n37zbzh2+hQAwD04iD99vAPNjovo7OrCmeZmvPaHTbBYLJgzY2aqLiUlaltc2FjvhsM0BRvr3ahtUT9zR0Q0mnEGkGiUe2T1g3h/x0f47dtvAABunj4Da+65T9LnamcHBtxuAIBBEHDl6lXUH/scAwMDyLHZUFE2GY+ueQgmkynp40+lwIojwyEQrtBBRJmCn4EhIk1S/RkYPfg/JeP/DEysn3DRAz8DQ0SpwEfARJSxakoteGaBCXb3WTyzwMTZPyLKGCwAiSijLSwyYtrA8UDCl4goE7AAJCJN9PoMiT9FnKrPmgiCgLFjxqbsMWq818/PwRCRFnwHkIg08fl8MX3vjhLDYrHEtIIIERHAFDARxcG/4kU8s2cDbjf+/pf/ir/9wQ+RnYIU8mg9P2f+iCgeLACJSBO9Zp0EQcDg9cG41xTOtPMz+UtE8eBzAyIiIqIMwwKQiIiIKMOwACSilDJmZeErt98BY1YWz09ElCRMARMRERFlGM4AEhEREWUYFoBEREREGYYFIBEREVGGYQFIRERElGH4IWgiSirXQD+2bP8IJ5q+BADMnjYdX7vnPpizs8Pus2nrFtQfOyppK504ET/49ndUnXNf/SF8ur8OvX19KC4oxAMr7sGU0rKw/c9eaMafdu5Aa/tV5NpycGd1NarnL1R1rnjPf6a5GS+/+buQ9mef2oCi8QWax0BEFIwFIBEl1Vvvv4vu3l58d/0jAIDN2z7A21vewxPrHo6434yKCqxbtTqwnaXysymNJ09g647tWHPfSky2l2J/Qz1e3fQWnn1yA/Lz8kL6d3Z14dXfv42qynl4ePUanHe04L0/b4PVbMWts2bFcKXazu/3o+89jeyxI0vDWYeX3SMi0gMfARNR0rS1t+OLs2fx9a/ej3L7JJTbJ+HrK+/HqTNNuNrREXFfY5YROTZb4JfFbFZ1zr0H9mNR5TxUVc5HUUEBVq+4F3m5uag7Uq/Yf/+ReuTn5mL1intRVFCAqsr5WDS3EnsO1MV8vVrO72ezWCXXq9fSe0REAGcAiSiJmh0XkW0yoWyiPdBWZrcj22RCs+MiCsePD7vv2QvNeP7FjTCbsjGlrAz33XkXbFZrxPN5vF44rlzGsuolkvbpkyvQ7LgYdozTJ1dI+0+pwMGjjfB6vapnHrWe3+/FV1+Bx+NBUUEh7q65HVPLJ6s+LxFRNCwAiShp+pxO2CyhRZvNYkWvsy/sfjOnTsXcWbOQn5eHzq4ubN+zGy+/+Tp++MR3YTSG/2vM5XLBJ4rIsdok7TlWK74Ic74+pxM5ssIyx2qDz+eDs9+FXFtOpEuM+/y5NhseWrkK9pISeLxeHDn2OV5583U89ehjqCgL/94iEVEsWAASUdy27/kUOz/bE7HPXz8+HNgQQn8mQoSg9INhlTfPDvy5pLAIkyZMwM9/9QucOtOEOTNVvJcnO3S08yn1H2qOsI9O5y8cP14yE1pun4Sunh7sOVDHApCIdMMCkIjiVrNwESpnz47YZ1xePi63taHP6Qz5mdPlivo4N1iuLQf5eXlov9YZsZ/FYoFBENDbJ51t63OGP5/NakVvn1PW3wmDwaD6vcN4zq+kzG7HkePHYjo3EVEkLACJKG5Wi0VVSrXcPgkDbjdaLjlQOvwe4IVLDgy43Si3T1J9Pme/C909PSGPVuWMWVmwl0xA0/lzkpnCpvPnMHv6jLBjPDn8iRq/L8+fw6SSCTG9/6f1/EoutbZGvVYiolgwVkZESVNUUIAZFRV458MPcMHhwAWHA5s//ACzpk6TPPb8p9/8G46dPgUAcA8O4k8f70Cz4yI6u7pwprkZr/1hEywWC+bMmBn1nEurFuNgYwMONjagrb0dW3ZsR1dPNxbPXwAA2PbJLry95f1A/8XzF+BaTze27tyOtvZ2HGxswKHGBtxRVa3pmmM9/96DB3D8i9No7+xE69Wr2PbJLhw7fQo1CxdpOj8RkRLOABJRUj2y+kG8v+Mj/PbtNwAAN0+fgTX33Cfpc7WzAwNuNwDAIAi4cvUq6o99joGBAeTYbKgom4xH1zwEk8kUcny5yptnw9Xvws7P9qLX2YeSgkI8se4RjBv+Bl9PXx+6eroD/W/Kz8d31j2MrTu3Y1/9YeTabFh9z72avgGo5fxerxcffLwT3X29GGM0origEE+sexizpk7TdH4iIiVCR69PTPUgiIiIiCh5+AiYiIiIKMOwACQiIiLKMCwAiYiIiDIMC0AiIiKiDMMCkIiIiCjDsAAkIiIiyjAsAImIiIgyDAtAIiIiogzDApCIiIgow7AAJCIiIsowLACJiIiIMgwLQCIiIqIMwwKQiIiIKMOwACQiIiLKMCwAiYiIiDIMC0AiIiKiDGNM9QCIKL34fL7AnwVBSOFISA+iKAb+bDDw3/xENIQFIBGFcLlcqR4C6cxisaR6CESURvjPQSLShSAIsFqto3LWsK2jHS/8+iW0dbSneigxGc33nIhSiwUgEUloLSYEQQj8Gm1EUcTg9UHJ49LRIJZ7Phr/uxBR4vARMBGNGrUtLjS2DqCyOBs1pZawbbH2PdzmQVP2HBxu82BVQfj99RgDEVE6EDp6faPrn7xEGWZf/SF8ur8OvX19KC4oxAMr7sGU0jLFvmeam/Hym78LaX/2qQ0oGl+g6nyiKMLpdMY8ToPBAIvFApfLJQmS6KW2xYWf7G6DQQB8IvCzZUUAENJWU2rR1BeiDxAMuh9X3q6nWO45HxUTUTDOABKlscaTJ7B1x3asuW8lJttLsb+hHq9uegvPPrkB+Xl5Yff70feeRvZYU2DbegMEABpbBwLFlEEAjrYOQARC2mpKLdr6wpCY48raiYjSAd8BJEpjew/sx6LKeaiqnI+iggKsXnEv8nJzUXekPuJ+NosVOTZb4NeN8PmPyuLsQDHlE4G5xdmKbVr7QvQl5LjydiKidMBHwERpyuP14u/+8ed49MGHMGfmrED7+9s/wuW2Vmz41mMh+/gfAY/Ly4PH40FRQSHurrkdU8snqz5vuj4CBoYeAx9tHcBc2ft38rZY+35w4jI21R7H+ppbsGr2BN2OG65dL3wETERasQAkSlM9vb34P798Ed//i8dRPmlSoH1X7Wc4fOwo/uv3vh+yz9WODpxruQB7SQk8Xi+OHPsc+4/U46lHH0NFmfJ7gx6PBx6vN7AtiiK8Hk/MiV5BEGA2m9Hf3z/q0rRXrrbhN2++ju9981soKSxK9XBUU3PPRVGEKIosAIlIgu8AEqU72f9nixAhyBuHFY4fj8Lx4wPb5fZJ6OrpwZ4DdWELwF37arHzsz2B7bFjxuLHG74Pi8WiqWAwm80x7yO353wPDjucWGi34o7JuRHb9eh7tFNAU/YcHO0UUFFuSegYIrVrFemea53RJaIbG2cAidKUlkfASj6u3Ysjx4/hR089rXyeNJsBrG1x4rldrYF3555fXoyaUqtiOwDd+vpTwHofV227FpwBJCKtRv+b4UQ3KGNWFuwlE9B0/pykven8OZTbJ4XZK9Sl1lbkWG3hz2M0IttkkvwChgoHn8+n+pe/AIl1P/mvI5f7JenZhsv9Ydv17AvBkJDjqm3X8kvNPR9tj+OJKDlYABKlsaVVi3GwsQEHGxvQ1t6OLTu2o6unG4vnLwAAbPtkF97e8n6g/96DB3D8i9No7+xE69Wr2PbJLhw7fQo1Cxel6hJilqgEbrqkgJkOJqJ0wEfARGluX/0h7K6rQ6+zDyUFhbj/K/cE3ufbtHULrnV3BR4H767bhwMNR9Dd14sxRiOKCwpx15IazJo6TfX50iEFnKgEbrqkgPVKBzMFTERasQAkIolEFYDpvCxaa/tVvPzWG3jqkUdRXFCY6uFIRLpvLACJSCumgIko4YKXRdt8qkeyLFqi1vdN17WAY+0b7r4REcWDM4BEJJGIGcCXDnXi3dM9gXff1s7MxdOLbkr4+r7pthZwLH1rSi1h75uaey7HGUAiCsYQCBElXLjgg9J6uUptyejrTwGncgzydgZGiChRWAASUcLVlFrws2VFWDszV/IYM9HJ3nRLAceaDA5334iI4sVHwEQkkewUcKKSvemaAtYzGcxHwESkFUMgRKSr2hYnjlzuVxVy8FP6V2i4f5kmqm/ImnspGINSezqnp4lo9OIMIBFJxDMDeLjNgx9vu6A65MAQSOz3J7gI5AwgEWnFdwCJSDeHHc6YQg4MgcR+f4iI9MACkIh0s9BujXtZNIZAuGwcESUeHwETkUS8IZAdp6+i4XJ/XMuiMQSiLhzCR8BEpBULQCKSSIe1gJMtnZeCi4QFIBFpxRQwEekq1hQwl4LTfr75E8xYMZPJYCKKHWcAiUiCKeD0TgHLj/HCyjIsLDJyBpCIYsIQCBHphingxKeA5W31l2Iv1omIWAASkW6YAk58CljetmCiNTn/cYnohsJHwEQkwRRw+qeA/W3zJpixYmYhQyBEFDOGQIhIs+CAwtJyW6A93L8qY2mPt29NqSXksylKbQCwsMiI+oHjWFhUGbVvuPZEXFusy+dx2TgiUoszgEQkoXYGUB5QeH55MUwmU1qEQPzjU5vAHZoBPIH1NbMlM4BqUrmpDrj4QyB7m/siLhvHGUAiCsYZQCLSRB5GaLgyAKPRExJaqCm1KIYZwrWLQNx9g4ukzad6Qgoqf5u/b+37+7Cq9Thq27uRn7MyYl95e7KvTSkEsrAoL+w4iIiUMARCRJrIwwjzSrLTJgQSSwL32u7d+Mmejfjalzvwkz0b0bV7d0yp3FQHRvwhEC4bR0Sx4CNgIpKIJQQSHFBYWm5LmxCI/DHpv+SfQc7pRuy64oXZ60Z/lgnLS7IwscCG3n21MLechQEifAD6S6eh+5ZF2H/uGtxGE0weNxZPGYdJJi9OT7wFf9M1VfGxbCoCI/IQSKRl4/gImIiCsQAkIokbZSk4fzF055UjmP7STwFBAMShIk/p0YcIQFDYDrQP7//l93+KT0vmKxZZycal4IhIK74DSESahUsBp3J5N1/dXohH62F3ZyG7y4kJl08HijcRQ8Vf1GJPYRvi0L+VJ279HRZMPoYJY7zw3V4FQ/XSlC0bJ18KjilgIlKLM4BEJBFPCnjFzELsOH0Vz+1qTXj6Vanvv+SfwfSXfgpRECCEme2TF3tqf/fzH9MHAQYMzQiGeyzMFDARpSuGQIhIE6UUMAA0XOlXHcDQc2m1akc9xv3xNWC4+Aue7cPw79Fm+iL97j+GIfD7UIE57t3/h2pHfcqWjfMvBReuPxGREhaARKSJUgoYAOaVmJO+vFu1ox5/9+lGjL9yLvCoV6mQC1fUqZ0BlLcbAIy/cg5/9+nGQBHIFDARjQZ8BExEEvGmgF0uF/Y29yV1eTfzf/wCt+zfCkEc+etMqYAL91g3WnvIPVLo1zGhAtce/DZmP/AVXa+NKWAiSgTOABJRXML9C1KpPVF9r48xSYo/QLmgE2S/R+ornymM1C4AGH/5HKa/9FP46vZGHW+i7kOkdiKiYJwBJCKJ0RYC+eD1bfjWsc2ouNYs+RdttPf5Is0Aav3dBwFtX1mL0mefYQiEiNIaZwCJSJN0CIH4V/GYMlz8qX2vT693AEPfCRRxZdCgy7UxBEJEicQCkIg0SXUI5M4rR3D73rfhg4AsxFaoxdI3lmLRB2D6+Qb46vYyBEJEaY2PgIlIYjSEQAKre/jHDPVhjXAPQWMNhoQ99vBHp7Oe+3vU2RcwBEJEaYkFIBFJjIal4Ly/eRG+9/8QWJ0jXuGKOs0EAYY165D11A/1OFpYXAqOiLTiUnBEpFmqloJb5c7CRIVPvsipnQHUMtMX8diiCIw1cSk4IkpbnAEkIonRkAL+y8O/w4On/xxxybZUpICDx3DlKw/hu0VrmQImorTEEAgRaZLKFLDbaIorrKFHChgRfgeAy4MGpoCJKG2xACRKc/vqD+HnL/0C//P//gP+9dXf4lzLhYj9z15oxr+++lv8z//7D3jhpV+i7sjhhIwrlSlgk8cd1+da9EgBB7cF/+43YayPKWAiSlt8BEyUxhpPnsCmLe9hzX0rMdleiv0N9TjY2IBnn9yA/Ly8kP6dXV3Y+NvfoKpyHhbPW4Dzjha89+dteORra3HrrFmqzjkaUsBf3fcmJm57a2TM0P4O4EhRJ0II+qmqd/0itBnWP4b9d/8FU8BElJY4A0iUxvYe2I9FlfNQVTkfRQUFWL3iXuTl5qLuSL1i//1H6pGfm4vVK+5FUUEBqirnY9HcSuw5UBfXOGpbXHjpUCdqW1whPwv3L0ildr36Ggbdkm1Bob9Su3xbXvyJQT8NlwqWzwAqHRcAfIfrkN+4L6H3IZZ2IqJgTAETpSmP1wvHlctYVr1E0j59cgWaHRcV92l2XMT0yRXS/lMqcPBoI7xeL7KyskLP4/HA4/UGtsXhdG1bRztEUcThNg821rthEIDNp3rwzAITFhYZQ9qfXdCDmjIrai848c/1A5L+AFQdQ21f6xUvvon4wxry4k/6e/R3AsPNEgKAeKYJ01/6Kd688xlsti9IyH3YfKoHfS4X5t4k4lDrdcX+giCgaHyB4v9eiChzsQAkSlMulws+UUSO1SZpz7Fa8YWzT3GfPqcTOVarrL8NPp8Pzn4Xcm05Ifvs2leLnZ/tCWyPHTMWP97wffzHH36PweuDaMqeA5imwAcDIPqwqfY46geOh7S/XXsMhz8Obd9UexyAoOoYavtmewbgAwLLv2ktAhG2+IteBCLMzxD4swivYMCtrSdRN3FeQu4DRB9+t/sIpoU5Rv3A8cB/TyKiYCwAidKdbGpJ/q6amv5Dzcr7LF9SgzuqFo/0F0V4PR488Y11ITOAPhiwvuYWLCyqDGl/uGYOasoWS2YA/f0BqDqG2r4Dxuy4iz9h+K4kYgZwqE1AlujD58U3A0Ji7oMPBvzFsvmYe9M8yQxgcH++90dESlgAEqUpi8UCgyCgt08629fndMEmm+Xzs1mt6O1zyvo7h1aMMJsV9zEajTAaR/4qEEURTo8n8NhwVQGQnxMaLpC3+0Mg9+e6kJcTGgJRcwy1fZdfyQJOxJYClrcDkR7/SotAKBxDqU1SBE6dji/vfRT2kvn4WYLuQ3AIZNV4n2J/IiIlTAETpbFfvvYq7CUlePC+rwba/vnlX2P29BlYedfykP4f7voYJ5u+xLNPbQi0/fHPH+Jyayv+6ttPqDrnqFgK7rXfwLfpP7UfYHi9XiB8ERgvw/rHkPX49+I+TsRzcCk4ItKIKWCiNLa0ajEONjbgYGMD2trbsWXHdnT1dGPx/AUAgG2f7MLbW94P9F88fwGu9XRj687taGtvx8HGBhxqbMAdVdUJGV+4dLBSu559L7X3DRVxw9QmYgPbQcvICbI5Pv92uO/7RUrqSn426E74fahtcUY9BhGREs4AEqW5ffWHsLuuDr3OPpQUFOL+r9yDirIyAMCmrVtwrbsLG771WKD/2QvN2LpzO1rb25Frs2FZ9RJUz1+o+nyjYSm421rq8ZM9GxXfx4NsO1KAQ03fWEMg/t+//P5P8TddU7kUHBGlJb4DSJTmlixYhCULFin+bP0Dq0PaKsrK8V++82Sih6W4FNyKmcpLwYlASFtNqUVx+TI1feV1TOzhD237hAt8KP1+rmsw4ffBvxTcwqI8xWPwPUAiCoePgIlIk1QuBXdr6wmIghBTCCT491j6Bs/4KW0r/Q5BwNy2U1wKjojSFh8BE5FEpi0FF61vrO1+XAqOiNIZZwCJKC5qAxh69jUMugPPgeWzcsH95O3BM4Bq+8pLpmhF4VAnARheri6R9yGWdiKiYJwBJCKJ0RgCSdY7gKr2EwQIosgQCBGlNc4AEpEmSiEQQDkEohRQUDqG2r4HSxdg+zf/P3RMqIAPqXkHUOl3H4COkinIeu7vsbtkfsLvgz8EEu4YREThsAAkIk1SGQLxiUD+smW49uC3YQDgRWyFWix9YykWDQAGK6tgqF4a17UxBEJEicZHwEQkMRpCIMHtJ7buxLh3/x/GXz6rOqwBhTY1wY5w7cGPf7PWrEPWUz/U5doYAiGiRGEBSEQSo2EpOLm4l4ZD5ISwKsPLy2U99/cwVC+NayxqcSk4ItKKH4ImIs1qW1xobB1A5fAMoFJ78GyWvE2vvtkXujBnOHzhpyb4EakvFLbDtYsYevfv2oPfxuyg4i/R92H+BDNWzIx8DCIiJZwBJCKJ0ZAClvetdtTj7z7dGEjg6pn+DVcU+jD0zp//nP/rzmdQZ1+g+7UxBUxEicAZQCLSJJVLwcn71tkX4H/d+Qweun4Gc0vz0LbnM9x0+exQgQZp6CPWYIfS714A58aVo2/ObcjyDOKPY6aizr4gIdfGpeCIKBGYAiYiTVKdApb3rbMvQP/jP0DW498LSgcLkkJPXswBsc0ADs38CcgC8Pqch3D9W09h4PEfBIq/RF0bU8BEpDc+AiYiidGWAg7X98TWnXA31GPypVOwNX8xdG2I/x1AZ+k01C5dj/xly1J2bUwBE1G8+AiYiDSrKbWEFBq1Lc6wQYRw/9pUao+3b1flEjSWzIfpyhFMf+mnwPC7ev5394IFv9MXfExJUTic8r30wF+guWQ+8nUerx59lf57EBEp4QwgEUnEOgMYnAI+3ObBj7ddUBVySGZQ4l/yzyDni6PYddkDs3cQ/VljsXyCERPHW3Gpw4ldlz3I9roxkGXC8glG+MaMxf5zXXAbx8LkGcTiKfmYlO3D6Qmzk7K8m5YQiH8GMFzxzRlAIgrGGUAi0iS4ENl8qgfPLxdwrN2jOuSQzKDEpyXzIZbMx7unewJtrpm5eHrRTdh6qDOkXQTw7k0jbZ3DfXcf6oShuyfh49USApH/95CngImIgjEEQkSaKKWAF9qtqkMO4dpT1ReiL+VjiCcEwrWAiSgWfARMRBJ6fAew4XK/qpBDuPZk9/3gxGVsqj2O9TW3YNXsCWk/XqUQCL8DSESxYAFIRBJ6pICTvRRcvFrbr+Llt97AU488iuKCwlQPRzX5UnBMARORWnwHkIg0C5cCPnK5X9VSZ+Hak933cJsHTdlzcLjNg1UF6TPeaMeQLwXHFDARqcUZQCKSiGUGMJjBYEjbFLCavhB9gGBIi2RvLMcITgFHwhlAIgrGEAgR6eaww6kYRAgXUFBqT1VfCIaUj0HLMeovxV6sExGxACQi3TAFrF9ftcfwp4CJiGLBR8BEJBHPI2CLxcIUsI59ox1DvhRcJHwETETBGAIhIl3VlFpRbTcrtCsHFMK1h/uXqVK7Hn1DV/1N7hhiuT/+NoOBD3GISBvOABKRhB4zgPGkgFMVGEllCCSW+6N0zzkDSESx4j8fiUg3e8734LldrXj3dA9+srsNtS0uACMfjVbTnokhkFjuDxGRHlgAEpFu9EgBZ2IIJNZ0MBFRvPgOIBHpZqHdirc/71Ashjaf6lHVXlNqwc+WFYUEH8K169H3mQWmQAhEz+Oq7RvL/SEi0gPfASQiiXRIASdbOiwFp+X+8B1AItKKM4BEpKtwKWBAfVI2E5eCi+X+EBHFizOARCQR7wyg0mwUl4KLvW+kdjX3XI4zgEQUjCEQIkq4dFhaLZ1TwAyBEFGysQAkooRLh6XV0jkFHGs7EVG8+AiYiCQS8QgYSI+l1W6UpeDU3vNgfARMRMFYABKlKddAP7Zs/wgnmr4EAMyeNh1fu+c+mLPDzwJt2roF9ceOStpKJ07ED779HdXnTVQBmA7CBTCGCsATWF8zW1IAhgtrpAsWgESkFQtAojT175veRHdvLx5auQoAsHnbBxiXm4cn1j0cdp9NW7egz9WHdatWB9qysrJgMSuncpUkswCMdfmzeBK40YIWakIg8Y5By3Xodc9ZABJRMH4GhigNtbW344uzZ/FX334CZRPtAICvr7wfv/rP/8DVjg4Ujh8fdl9jlhE5NluyhqpZcEG2+VSPYvI1WjsA1X2VAhU1pZaRdoyEQERAsW+8Y4j1GEREicIQCFEaanZcRLbJFCj+AKDMbke2yYRmx8WI+5690IznX9yIf/z1S3jnwz+hT8NsXjLokYjVc4k5NSGQRCV7mfYlomRjAUiUhvqcTtgs1pB2m8WKXmdf2P1mTp2KR1avwVPf/BZW3f0VXLx8CS+/+To8Hk/YfTweDwbcbskvABAEAQaDQfUv/+NFtfvNn2CWFFnzJphjbo+l79JyG55fXoy1s/Lw/PJiLC23wWAwYGm5Dc8uyIbdfRbPLsjG0nJb2L7xjiHWY+hxz/nYl4iU8BEwURJt3/Mpdn62J2Kfv358OLCh8P/bIkQISj8YVnnz7MCfSwqLMGnCBPz8V7/AqTNNmDNzluI+u/bVSsY0dsxY/HjD92GxWDQVD2aV7xuumGmByWRC/SUnFky04o7JuZraYz3GipmhY6kps+Lwx8dRU7YYFoslbF+9xqD2GGpFuuda3+kkohsbC0CiJKpZuAiVs2dH7DMuLx+X29oUH906XS7YrKEzg+Hk2nKQn5eH9mudYfssX1KDO6oWB7ZFUYTX44HL5YqpABQEAWazGf39/RBFddmyhUVGLCzKAwC4XK6o7W63G9evX4fb7Q60K7WFa69tcaLhSj/mlZhRUzpyH2svONGUPQe1F5y4Pzdy33jHEO76wl1zJGruudr/FkSUWVgAEiWR1WKB1RL95f5y+yQMuN1oueRA6fB7gBcuOTDgdqPcPkn1+Zz9LnT39CDHGj4UYjQaYTSO/FUgiiKcHg9EUYypeDAYDIH9E/EZmODwxDsnQ8MT/jZ50EJN33+uHwBMU/DP9QPIy+nT7bhK7XpK9D0nohsX3wEkSkNFBQWYUVGBdz78ABccDlxwOLD5ww8wa+o0SQL4n37zbzh2+hQAwD04iD99vAPNjovo7OrCmeZmvPaHTbBYLJgzQ+G55yhzIywFR0SULlgAEqWpR1Y/iJKiIvz27Tfw27ffQElRER5evUbS52pnRyC0YRAEXLl6Ff/vnd/jn37zEn7/p/dRMG48/uqxJ2AymVJxCbq6EZaCIyJKF/wQNBFJpPNKIDfCUnB64oegiUgrFoBEJJHOBWCitLZfxctvvYGnHnkUxQWFqR6OaiwAiUgrPgImoox3uM2Dpuw5ONwW/nuJREQ3EhaARJTRaltc2FjvhsM0BRvr3ahtUfcJFiKi0YwFIBFlNKUUMBHRjY4FIBFlNKUUMBHRjY4FIBFltJpSC55ZYILdfRbPLDAlJK1LRJRuWAASUcZbWGTEtIHjWFjExZGIKDOwACQiCa1rx/qXjhuNa88KgoCxY8aOus+kxHLPR+N/FyJKHH4HkIgkfD4fXC4mYW80FoslsHYwERGfdxBRCItl6D24WGbEBtxu/P0v/xV/+4MfInuULT03WseuZtyc+SMiJSwAiUhC6yyRIAgYvD4IQRBG3aPU0Tp2NeMeTddDRMnD5wFEREREGYYFIBEREVGGYQFIRLowZmXhK7ffAWNWVqqHErPROvbROm4iSj2mgImIiIgyDGcAiYiIiDIMC0AiIiKiDMMCkIiIiCjDsAAkIiIiyjD8EDQRaeYa6MeW7R/hRNOXAIDZ06bja/fcB3N2dth9Nm3dgvpjRyVtpRMn4gff/k5Cx7qv/hA+3V+H3r4+FBcU4oEV92BKaVnY/mcvNONPO3egtf0qcm05uLO6GtXzFyZ0jEpiGfeZ5ma8/ObvQtqffWoDisYXJHqoRDSKsAAkIs3eev9ddPf24rvrHwEAbN72Ad7e8h6eWPdwxP1mVFRg3arVge2sBH/GpPHkCWzdsR1r7luJyfZS7G+ox6ub3sKzT25Afl5eSP/Ori68+vu3UVU5Dw+vXoPzjha89+dtsJqtuHXWrISONZ5x+/3oe08je+zI0nDW4aX9iIj8+AiYiDRpa2/HF2fP4utfvR/l9kkot0/C11fej1NnmnC1oyPivsYsI3JstsAvi9mc0LHuPbAfiyrnoapyPooKCrB6xb3Iy81F3ZF6xf77j9QjPzcXq1fci6KCAlRVzseiuZXYc6AuoeOMd9x+NotVcn+1Lu9HRDcuzgASkSbNjovINplQNtEeaCuz25FtMqHZcRGF48eH3ffshWY8/+JGmE3ZmFJWhvvuvAs2qzUh4/R4vXBcuYxl1Usk7dMnV6DZcVFxn2bHRUyfXCHtP6UCB482wuv1JnzGEtA2br8XX30FHo8HRQWFuLvmdkwtn5zAkRLRaMQCkIg06XM6YbOEFm02ixW9zr6w+82cOhVzZ81Cfl4eOru6sH3Pbrz85uv44RPfhdGo/19JLpcLPlFEjtUmac+xWvFFmHH2OZ3IkRWkOVYbfD4fnP0u5NpydB+nnJZx59pseGjlKthLSuDxenHk2Od45c3X8dSjj6GiLPz7jkSUeVgAEpHE9j2fYudneyL2+evHhwMbQujPRIgQlH4wrPLm2YE/lxQWYdKECfj5r36BU2eaMGdmAt+vkw0p2jiV+g81R9gnEWIYd+H48ZKZ13L7JHT19GDPgToWgEQkwQKQiCRqFi5C5ezZEfuMy8vH5bY29DmdIT9zulwxPc7NteUgPy8P7dc6Yx6rGhaLBQZBQG+fdNaszxl+nDarFb19Tll/JwwGQ8LfV/TTMm4lZXY7jhw/pvfwiGiUYwFIRBJWi0VVarTcPgkDbjdaLjlQOvwe4IVLDgy43Si3T1J9Pme/C909PSGPOvVizMqCvWQCms6fk8wwNp0/h9nTZyjuU26fhJPDn7bx+/L8OUwqmZCU9/8AbeNWcqm1NWH3lohGL0bDiEiTooICzKiowDsffoALDgcuOBzY/OEHmDV1muQx5D/95t9w7PQpAIB7cBB/+ngHmh0X0dnVhTPNzXjtD5tgsVgwZ8bMhI11adViHGxswMHGBrS1t2PLju3o6unG4vkLAADbPtmFt7e8H+i/eP4CXOvpxtad29HW3o6DjQ041NiAO6qqEzZGPca99+ABHP/iNNo7O9F69Sq2fbILx06fQs3CRUkdNxGlP84AEpFmj6x+EO/v+Ai/ffsNAMDN02dgzT33Sfpc7ezAgNsNADAIAq5cvYr6Y59jYGAAOTYbKsom49E1D8FkMoUcXy+VN8+Gq9+FnZ/tRa+zDyUFhXhi3SMYN/wtvZ6+PnT1dAf635Sfj++sexhbd27HvvrDyLXZsPqee5P6DUAt4/Z6vfjg453o7uvFGKMRxQWFeGLdw5g1dVpSx01E6U/o6PWJqR4EERERESUPHwETERERZRgWgEREREQZhgUgERERUYZhAUhERESUYVgAEhEREWUYFoBEREREGYYFIBEREVGGYQFIRERElGFYABIRERFlGBaARERERBmGBSARERFRhmEBSERERJRhWAASERERZRgWgEREREQZhgUgERERUYZhAUhERESUYVgAEhEREWWY/x/A5kUYJe005wAAAABJRU5ErkJggg==",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#spot_plt = plt.figure(FigureClass=SpotDiagramFigure, opt_model=opm, scale_type=Fit.User_Scale,\n",
    "#                      user_scale_value=0.1, is_dark=isdark).plot()\n",
    "spot_plt = plt.figure(FigureClass=SpotDiagramFigure, opt_model=opm, is_dark=isdark).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a6ed5037",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d6099313",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4b96dd72",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}