{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "552cb155-f087-49cf-bd5a-5651eebc37e6",
   "metadata": {},
   "source": [
    "## ELETTRA-28: ID correction knobs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2be793eb-d7e5-4dc8-8085-b80159794736",
   "metadata": {},
   "outputs": [],
   "source": [
    "# In this example the derivatives of optics observables with respect to selected knobs are explored"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2e6fcee0-ac78-4ee4-8056-e2d49aaccf9a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import\n",
    "\n",
    "import torch\n",
    "from torch import Tensor\n",
    "\n",
    "from pathlib import Path\n",
    "\n",
    "import matplotlib\n",
    "from matplotlib import pyplot as plt\n",
    "from matplotlib.patches import Rectangle\n",
    "matplotlib.rcParams['text.usetex'] = True\n",
    "\n",
    "from model.library.element import Element\n",
    "from model.library.line import Line\n",
    "from model.library.quadrupole import Quadrupole\n",
    "\n",
    "from model.command.external import load_lattice\n",
    "from model.command.build import build\n",
    "from model.command.tune import tune\n",
    "from model.command.orbit import dispersion\n",
    "from model.command.twiss import twiss\n",
    "from model.command.advance import advance\n",
    "from model.command.coupling import coupling\n",
    "from model.command.layout import Layout"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "4685beb4-0fa4-42c3-bc3e-fe30280c130a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set data type and device\n",
    "\n",
    "Element.dtype = dtype = torch.float64\n",
    "Element.device = device = torch.device('cpu')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7d63f5dd-83c9-491e-9fb6-37d705ae5f8c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load lattice (ELEGANT table)\n",
    "# Note, lattice is allowed to have repeated elements\n",
    "\n",
    "path = Path('elettra.lte')\n",
    "data = load_lattice(path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "cec829b6-d942-41cc-9da2-ff41eecce199",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Marker': 12, 'Drift': 708, 'BPM': 168, 'Quadrupole': 360, 'Dipole': 156}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Build and setup lattice\n",
    "\n",
    "ring:Line = build('RING', 'ELEGANT', data)\n",
    "\n",
    "# Flatten sublines\n",
    "\n",
    "ring.flatten()\n",
    "\n",
    "# Remove all marker elements but the ones starting with MLL (long straight section centers)\n",
    "\n",
    "ring.remove_group(pattern=r'^(?!MLL_).*', kinds=['Marker'])\n",
    "\n",
    "# Replace all sextupoles with quadrupoles\n",
    "\n",
    "def factory(element:Element) -> None:\n",
    "    table = element.serialize\n",
    "    table.pop('ms', None)\n",
    "    return Quadrupole(**table)\n",
    "\n",
    "ring.replace_group(pattern=r'', factory=factory, kinds=['Sextupole'])\n",
    "\n",
    "# Set linear dipoles\n",
    "\n",
    "def apply(element:Element) -> None:\n",
    "    element.linear = True\n",
    "\n",
    "ring.apply(apply, kinds=['Dipole'])\n",
    "\n",
    "# Merge drifts\n",
    "\n",
    "ring.merge()\n",
    "\n",
    "# Describe\n",
    "\n",
    "ring.describe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8ad11833-4709-4147-bdec-ac893321bf5b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(0.2994, dtype=torch.float64)\n",
      "tensor(0.1608, dtype=torch.float64)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Compute tunes (fractional part)\n",
    "\n",
    "nux, nuy = tune(ring, [], matched=True, limit=1)\n",
    "\n",
    "print(nux)\n",
    "print(nuy)\n",
    "print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "660b1348-0f78-442c-a686-cf961eecb2e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute dispersion\n",
    "\n",
    "orbit = torch.tensor(4*[0.0], dtype=dtype)\n",
    "etaqx, etapx, etaqy, etapy = dispersion(ring, orbit, [], limit=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "0365c46c-f784-44d9-9540-eb0c94432e79",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute twiss parameters\n",
    "\n",
    "ax, bx, ay, by = twiss(ring, [], matched=True, advance=True, full=False).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "4dfdd0c2-9fc8-4847-88d5-fb0690855bad",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute phase advances\n",
    "\n",
    "mux, muy = advance(ring, [], alignment=False, matched=True).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b9e24287-f6e1-439a-bca6-54db2d3c16c4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute coupling\n",
    "\n",
    "c = coupling(ring, [])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "c483ac3d-b967-4b7b-8106-b9a89f3ff6db",
   "metadata": {},
   "outputs": [],
   "source": [
    "line = Line('LINE', sequence=ring['BPM_S01_05':'BPM_S02_10'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "e970a343-e658-4853-a80b-def1f41adc84",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Quadrupole names for global tune correction\n",
    "\n",
    "QF = [f'QF_S{i:02}_{j:02}' for j in [2, 3] for i in range(1, 12 + 1)]\n",
    "QD = [f'QD_S{i:02}_{j:02}' for j in [2, 3] for i in range(1, 12 + 1)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "644b1f6e-14b7-4299-aa16-60b244d3aaef",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Local correction knobs\n",
    "\n",
    "nkn = ['OCT_S01_02', 'QF_S01_02', 'QD_S01_02', 'QD_S01_03', 'QF_S01_03', 'OCT_S01_03']\n",
    "nks = ['SD_S01_05', 'SH_S01_02', 'SH_S01_03', 'SD_S01_06']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "c82d90d1-2cac-4161-96b8-6ccaada7d25a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot twiss parameters and local knobs\n",
    "\n",
    "layout = Layout(ring)\n",
    "_, _, lengths, *_ = layout.slicing_table()\n",
    "rectangles, labels = layout.profile_1d(scale=5, shift=-5.0, text=True,  delta=-8.0, fontsize=8, exclude=['Marker', 'Drift'])\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(12, 6))\n",
    "ax.errorbar(ring.locations().cpu().numpy(), bx.cpu().numpy(), fmt='-', color='red', alpha=0.75, label=r'$\\beta_x$')\n",
    "ax.errorbar(ring.locations().cpu().numpy(), by.cpu().numpy(), fmt='-', color='blue', alpha=0.75, label=r'$\\beta_y$')\n",
    "\n",
    "x_min = ring.locations()[ring.position('BPM_S01_05')] - 1.0\n",
    "x_max = ring.locations()[ring.position('BPM_S01_10')] + 1.0\n",
    "\n",
    "ax.set_xlim(x_min, x_max)\n",
    "ax.set_ylim(-15.0, 30.0)\n",
    "\n",
    "for rectangle in rectangles:\n",
    "    ax.add_patch(Rectangle(**rectangle))\n",
    "for label in labels:\n",
    "    if x_min < label['x'] < x_max:\n",
    "        ax.text(**label)\n",
    "\n",
    "ax.set_ylabel(r'$\\beta$ [m]', fontsize=12)\n",
    "ax.set_xlabel(r's [m]', fontsize=12)\n",
    "ax.legend(loc='upper left', frameon=False, fontsize=14, ncol=1)\n",
    "ax.tick_params(axis='x', length=6, width=1.5, direction='in', labelsize=12, bottom=True, top=False, labelbottom=True, labeltop=False)\n",
    "ax.tick_params(axis='y', length=0, width=0, labelsize=12)\n",
    "\n",
    "ax = ax.twinx()\n",
    "ax.set_ylabel(r'$\\eta$ [m]', fontsize=12)\n",
    "ax.errorbar(ring.locations().cpu().numpy(), etaqx.cpu().numpy(), fmt='-', color='magenta', alpha=0.75, label=r'$\\eta_x$')\n",
    "ax.errorbar(ring.locations().cpu().numpy(), etaqy.cpu().numpy(), fmt='-', color='black', alpha=0.75, label=r'$\\eta_y$')\n",
    "ax.legend(loc='upper right', frameon=False, fontsize=14, ncol=1)\n",
    "\n",
    "ax.set_ylim(-0.04, 0.08)\n",
    "\n",
    "for name in nkn:\n",
    "    ax.axvline(ring.locations()[ring.position(name)] + ring[name].length/2, color='red', linestyle='--', linewidth=1.0, alpha=0.75)\n",
    "\n",
    "for name in nks:\n",
    "    ax.axvline(ring.locations()[ring.position(name)] + ring[name].length/2, color='blue', linestyle='--', linewidth=1.0, alpha=0.75)\n",
    "\n",
    "ax.axvline(ring.locations()[ring.position('QF_S01_02')] + ring['QF_S01_02'].length/2, color='black', linewidth=2.0, alpha=0.5)\n",
    "ax.axvline(ring.locations()[ring.position('QF_S01_03')] + ring['QF_S01_03'].length/2, color='black', linewidth=2.0, alpha=0.5)\n",
    "ax.axvline(ring.locations()[ring.position('QD_S01_02')] + ring['QD_S01_02'].length/2, color='black', linewidth=2.0, alpha=0.5)\n",
    "ax.axvline(ring.locations()[ring.position('QD_S01_03')] + ring['QD_S01_03'].length/2, color='black', linewidth=2.0, alpha=0.5)\n",
    "\n",
    "plt.setp(ax.spines.values(), linewidth=2.0)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "7de7c27a-520b-4a52-855b-a29543e38cbe",
   "metadata": {},
   "outputs": [],
   "source": [
    "# QF02, QF03, QD02, QD03 are in local and global groups and are in a dispersive free region\n",
    "# OCT02 and OCT03 are in a local group and are in a dispersive free region\n",
    "# SH02 and SH03 are in dispersion free region and can be used for betatron coupling correction\n",
    "# SD05, SH06 are in a non-zero disperson region and can be used for dispersion correction and betatron coupling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "9704e260-1b25-48c4-9647-7326b9e8f489",
   "metadata": {},
   "outputs": [],
   "source": [
    "# With symmetry constraint one has 2 global knobs and 3+2 local knobs\n",
    "# G-knobs: kf (1, ) is for QF_S*_0{2, 3}, kd (1, ) is for QD_S*_0{2, 3}\n",
    "# L-knobs: kn (3, ) are for Q{F, D}_S??_0{2, 3} and OCT_S??_0{2, 3}, ks (2, ) are for SD_S??_0{5,6} and SH_S??_0{2,3}\n",
    "# Note, all these relations can be expressed by a matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "b5b869ac-e192-4431-8ed9-d56b9684cac5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define parametric observables\n",
    "\n",
    "Sn = torch.tensor([[1.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 1.0], [0.0, 0.0, 1.0], [0.0, 1.0, 0.0], [1.0, 0.0, 0.0]], dtype=dtype)\n",
    "Ss = torch.tensor([[+1.0, 0.0], [0.0, +1.0], [0.0, -1.0], [-1.0, 0.0]], dtype=dtype)\n",
    "\n",
    "def knobs_split(knobs):\n",
    "    kf, kd, kn, ks = torch.split(knobs, [1, 1, 3, 2])\n",
    "    kn = Sn @ kn\n",
    "    ks = Ss @ ks\n",
    "    return kf.squeeze(), kd.squeeze(), kn, ks\n",
    "\n",
    "def knobs_build(knobs):\n",
    "    kf, kd, kn, ks = knobs_split(knobs)\n",
    "    names = QF + QD\n",
    "    values = torch.stack(len(QF)*[kf] + len(QD)*[kd])\n",
    "    data = {name: value for name, value in zip(names, values)}\n",
    "    for name, value in zip(nkn, kn):\n",
    "        if name in data:\n",
    "            data[name] = data[name] + value\n",
    "    data = {**data, **{name: value for name, value in zip(nkn, kn) if name not in names}}\n",
    "    nn = [name for name in data]\n",
    "    kn = torch.stack([data[name] for name in data])\n",
    "    return (nn, kn), (nks, ks)\n",
    "\n",
    "\n",
    "def observable_tune(knobs):\n",
    "    (nn, kn), (ns, ks) = knobs_build(knobs)\n",
    "    nux, nuy = tune(ring, [kn, ks], ('kn', None, nn, None), ('ks', None, ns, None), matched=True, limit=1)\n",
    "    return torch.stack([nux, nuy])\n",
    "\n",
    "    \n",
    "def observable_twiss(knobs):\n",
    "    (nn, kn), (ns, ks) = knobs_build(knobs)\n",
    "    _, bx, _, by = twiss(ring, \n",
    "                         [kn, ks],\n",
    "                         ('kn', None, nn, None),\n",
    "                         ('ks', None, ns, None),\n",
    "                         matched=True, \n",
    "                         advance=True,\n",
    "                         full=False, \n",
    "                         convert=True).T\n",
    "    return torch.stack([bx, by]).T\n",
    "\n",
    "\n",
    "def observable_dispersion(knobs):\n",
    "    (nn, kn), (ns, ks) = knobs_build(knobs)\n",
    "    orbit = torch.tensor(4*[0.0], dtype=dtype)\n",
    "    etax, _, etay, _ = dispersion(ring, \n",
    "                                  orbit,\n",
    "                                  [kn, ks],\n",
    "                                  ('kn', None, nn, None),\n",
    "                                  ('ks', None, ns, None))\n",
    "    return torch.stack([etax, etay]).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "016be4c3-0963-4edd-ba82-b1cb5a112ce3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[ 5.8543,  2.0964,  0.0764,  0.4879,  0.1747,  0.0000,  0.0000],\n",
      "        [-2.9918, -1.2602, -0.3117, -0.2493, -0.1050,  0.0000,  0.0000]],\n",
      "       dtype=torch.float64)\n"
     ]
    }
   ],
   "source": [
    "# Tune derivative\n",
    "\n",
    "knobs = torch.tensor((1 + 1 + 3 + 2)*[0.0], dtype=dtype)\n",
    "\n",
    "print(torch.func.jacfwd(observable_tune)(knobs))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "a638c7d8-455b-4848-af2c-ae0446e5fb3e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([7, 1512])\n",
      "torch.Size([7, 1512])\n"
     ]
    }
   ],
   "source": [
    "# Beta function derivatives\n",
    "\n",
    "knobs = torch.tensor((1 + 1 + 3 + 2)*[0.0], dtype=dtype)\n",
    "dbxdk, dbydk = torch.func.jacfwd(observable_twiss)(knobs).permute(1, -1, 0)\n",
    "\n",
    "print(dbxdk.shape)\n",
    "print(dbydk.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "308ad91f-f028-40af-a03c-7263808bc001",
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ydPKk9PHH5np0VBobM9fWZWzM7H8GWrZM2rLF7Is2NMT9sbk5p9SqVRp+4gnpJz+R3n3X/4SqKqm83KysgKM1UVVXm4Aq8LJypT+0Ksr97A5ZaHJSevpp6Yc/nBuoJmrJElMYfP3r5n8YyDO5OucKAOQ7ymcsKCdPmjb8v/yLdO5cat5z2TLpa18z7Xi2H6TD9LR06pQJnU6cMNeBf4+Oxv5ey5aZHGVyMvh1111n9kc3bVLtDTfk8UTnJSUavusuc2dhofTZz5ov3tRkbksm5RsbC072rL8/+cT8GCdOmER7Pg6HdMUVc8Mq67J8OaEV4nPqlLR/v/TjH/v//1auNP/HixZFPoIy3xGWDz80FaN16mWHQ/rc56Rt26RbbjG3AQAAACTG65XefltyuaRf/tI/VUxtrfTgg9Lq1eFHPUQa/WBdLl2SXnpJ+ugj834lJWbf9qGHzP4mEKuZGen06eDAKfBy+nT0KY5KS/2dc8KNOLP+XrTIPH921gzh++lPpRde8PeiWrRIta+8opGJiTwNpYqLNfzbvy196Uumm5jTmdgbWuMhQxPCwMvFi/O/h8PhHwoYGlqtXGkCrYL8mboLSTh+XPr+981QvZkZc19Dg/Q7vyPdc48/UE2U12sKBJdLevVV//1r10otLdJ99/kLDwAAAADRTU9Lzz9vDiq/957//o0bTRv7jjuSPwA8O2uCru9/X3r/fXNfQYG0aZP0278t1dcn9/7ID7OzpoNNYF5hZRgnTpjQaXZ2/vcoKZk7SiwwvygvT/z/eXzc7Ov+5CeS263aF1/UyKVLeRpKXXmlhk+cSH/vD6/XrNhwXdusS7RJvQoLg0Or0ODqiivoxRKjqSnpnXekw4clt9uf60RTUSHdeKO5XHNNBlb3W2+ZCubFF/33rV9vKpiNG9OzQMePSwcOmPHtVrBaVSV95SvSb/1W4kEuAAAAsBBMTEg/+pGZbsManrRokXT//aZnVF1d6j/T65Vee0363vekgwf99995pzmQbfMICK/XDMh4+22zH+bxxPa6wkKzem68UbrhBqmsLK2LmT+8XvO/Fi57OHHCjLiJthNcVBQ5e1i50uwH2pGjHDmi2jvu0Mj4eJ6GUlG+lG28XjMkMLR3lfXPc/Lk3EnAQhUVma5x4YYGXnWVCRIWYGgVWAAePmwuQ0PJn1Bx6VJTMN54o3TTTebvpUtTs8xBvF7p5ZdNGPXmm+Y+h0P6/OdNhXL99Wn40DAmJswwwaefNqm6ZCrTr3xFam2l5xQAAAAQaHpa+od/MFNjXLpk7quqkr76Vek3f9O+g7vvv2/2JZ5/3r8TdOON5sD25z6Xln3Ec+f8nQCsICqeqZrDcTjMyMabbvLvg2Wko0A28HqlM2fmH6kVS35gdXoJDZyyLD+INb8hlEqn2Vl/0hnuH+7kyejd64qLw4dW1t8VFVnzT5eMWAvAq64yBdl115meh7E4edK853vvhR+NuXq1v4C88UZpzZokV+nEhPTXf+0fQldUJG3dKm3fLl19dRJvnASr27HL5T85wPXXS//u35n/LwAAAGChO31a+vf/3uw8SGYajG3bzDQYmZpHeGRE6uoyZ/mzRuk0Nkp/+ZdJBWRer/TBB/5OAG+/bQZbhKYDxcVmt+HGG2Of4urSJbPvdfiw2Q0OVVZmOgfcdJO5XH+9mTc751kjrSJ1Wvn4Y3/QGUlBgQmdwnVYsUZa5cj0QIRSuWBmJnhMaGj3vFgmIgsdE2r981rXy5ZlZWjl9UoDA9IvfmFGt4UrAEtKpHXrggOjqqrEP3N62vS2sgrdt9/2zycYaMkS81nr15veuVdcEceHvP++9G//rUnCSkrMGTRaWsyEcNnA65VeeUX6m78xqd+yZdK/+TfSvfdmeskAAACAzPn1r6XHHzdj1MrKpPZ2M8ohW/alxsZM7y2XyxxpX77cBGg33BDzW4yOSt3dZmTgO++EP3HgypXB+18NDcnlcWfO+Ee+vP22OT4+X0eBe+81M5xkZe7i9Upnz84/vU8sJ1JbvjzyELvly5OfazhLEErlg+lpE0xFSlk/+SR6aLV4sf+f/OqrTV9J6zoDpxo9fdpMzP/Tn5qvEGjlyuBunfX16T8g4fH4C8nDh03hHFiOOBxm7sIvftGcHC/i8kxPm7Hf3/2u+XvVKuk//sfsnZTw44+lv/or/0SK994r/dmfMdcUAAAAFpaJCenv/k7q7TW3Gxqk//AfTHs+Gx07Zg6Cf/ihCS9+93elb3wj4o7K9LSZVeQnPzHHpgMH6pSUmF5K1j7YjTdKlZXpXfyZGTM/sBVSHT5sOoMFWr5c+o3fkB54wOwj2m5iwnQj+/BDc/3BB/598Kmp6K+vrp7bWcT6e/nyzPW6sxmh1EJw+bKZ7CzSKR+tCfkiKS834VRgULV6tSmAU3hE4Px5M8d3d7cZ0Wb9x5WVSc3NJvS54Yb0F4CxmJkxvaneflt67jnpjTf8jzmd5mSPDzwQMq/h4KC0Z4905Ii5/fnPmyMraZmsKoWmp6V//Efpn//Z1E4VFdKf/3nKek1dvGhy09FR//W5cyYnXbzY9EgLvA79O08OEAAAACDEzIzZRzh/3uzjW38H3raulywx+/hXXOG/Li1N0YK88IL0X/6L6c7jcJj5mv7gD8yYtWw2NSV9+9tm2IlkDoQ/9pgZbvip48dNR4BnngmeoPzmm81J/W6+2bwsG9rcHo/pHNDfb/YZA6dxWb/edBC4++7Yp2+J2eioOUhvBU9WEDU+Pv/rqqrC93K66iozNQrz9koilIJkUoFTp0xA9dFHwUnvyZORX7dqlbR5s7msXp3wR7/yigl2Xn45uIvmbbdJX/qS9IUvpKFgSbHhYX9hHpjxrV4t3Xv3jO4583+05qffkWN2xgyF+7M/M6V8tnTzjcWRI9Lu3eaQhRS115TXa3q8hQZOp08H3z57NrnFWr7cVJQNDf7r2to8PrDg9ZoaeXjYXD780H994oRJcVesMBWddbFur1iR3OlbAQBA4rxesxd98qRpewdeW3+fPWt2WK+5xjRorr7af50nc8SGMzNjmjODg6apaV2fOpXc+5aVBYdUgX9XV5t25PLl86zW0N5Rq1ebUMeukxGlyi9+If3t35o2ZEGBRh54WL9Yvk0//1WRBgf9T3M6/T2PrrkmQ8sao0uXzEjKn/zEDDO00orSUukzn5HuucdcJxxMejxmrt3nnjMnpIoUh6xYEdyBY9Uqf+iU7TuxWYJQCvO7eNEfUgWGVceP+yfQk0wS0NxsgpYVK+Z9y+lpqa/PbN+//rU5smGprTXzA95/v/k718zMmF5eP/mJCdmmJ6fM+jp/XteUnNI9d0zpnr+6T/WNztxsU0xPm6GH//RPc3pNnT9vxn6/9ZZ/Lq5YA6eSEtMgsBoJZWVmeKR19Cv0SNj58/OfcKKoyExEHxpWZUMvu5hNT5vW2fHj5vLBB/7wKZbuwJGUlPhDqtpak/redluWDsgHACBHzcxIr79uGrsffOAPn8JNkhOrpUvnBlVWeJVDO78ez9zw6dix4F2LUIWFc3vNB/amLy01Pe2tA5+ffBJ9yh5LWZkZjnbzzf6zbi9ZotztHRXBiXfH9fxf9ui5X5foyPkas9KuWa3CZUt0552ml9Gdd+bmgd2TJ8387j/7WfDULyUl5jvde68JqBYvjvJGk5PSL38p/fznZmLjwAikvt6EktZ2Z4VQKeuOt3ARSiExFy6YsXa9vSaFCUwIbrnF9J66917ffFQXL5oE+4UXpF/9KjisuPJKE0Rt2iRde22eHACantbZJ7+vF/e+pefHbtGrUzdrunb1p72KHKqtNen9Pffk5neeefeIjv/lU3rvPem9qat1uPxODS6+WbPFwSV9UZHptRoYOIUeqVq+3FQQ8a6Dy5dN4yP0qNrQUOTMxun0h1Q33ijdfnsWTI91/rw/6P3gA9MqO37c9FqMdNZNh8MES4GN0tpac2Rmair8EdhTp8zEl+FUVZlw6u67pVtvzc3WCAAAmTY9LR06ZHpX/OpXkYf2VFbO7clsXZeVmZ7PgT2hP/zQ1OORdsccDjM0aPVq/2XNGrPTvGRJur5tTCYnzSp56y1/W+3MmfDPXbzYtNECDypefbVZJYmMcpqaCu6xb10Cb4+Ozj3Q6bh0QQ0XDuvG8Ze0bsmHWnftjFb/hz9W0c051jtK5l/n1782/5LWibXl8ahg+AM1Lj6s+ypf1+f/eJ3KH/2dnA3bAnm95mx+zz9vLoFn9CsuNtPB3HuvdNddAZvGuXNmJT33nBkXODPjf9G6dWZH9b77ona8QOIIpZC8yUmz1ff26vzAOxq5UK3hi8s1Mr1CI8tv13DFzXr/XI0uTvsHIldXmwJh0yZzNCLXQpmIpqfNAOfvftdfCt5zj6Za/1wvvePUL35hhisGHgm68kpT6dbWSjU15rq21oQ12dB5xes1Fdp775nLu+9KR49KFy/MmrDj45OSTPGw4uoS3by1VjfdVe4bf253vuH1miMkbrf/Mjho2nXhSrH6ejMGvbHR5DFpm+LL6zUr7r33/L2fjh+fv1/6kiX+OdysozFWt+BEGg6XL5vxk9YwgbfeMkeDAgfkL1tmZuv/whekDRty6sgrAAC2m542PSqef94cfZ2Y8D9WXm4O+Nx0kxnOs2KFaeAlUodfvGgOWAUO3bdGMATW46GWLw8Oq9atM/MJpanxfemS6S1/8KC5vPfe3PaXw2HavKE92q+6yv59Amsy7bfflt56aVJvPzOsj49flNW21YorpZVXqbikQNdeK113nVmF69aZplk2zLN0+bKZANzKLwMvgf+ODoc5IHvffdLdt47L+d3/7h+WuGKFmQT9N34jbw5OWk3v5583oxcDJ0lfVDijdctOaNX4O6o59Zpqik5qVfEnWlUyqvK1V8qxeZNZUdk6iX2eIZRCRLOzppCbnp57feGC2fG3prUZHjYb+ujHl0yf3LEz0vmA7ioFBVqxeok++7UVuve3KnTLLdkRuKTMzIz07LPBYVRlpfSnfzpnQvCpKRNMWQFVpF7cixaZcjAwqKqtNT17Fi2aeykqMhVjrJX5xYvmAF7gZWIi+O9PPjFTSQUOsbQsWfJpxVz9ia5/7//qJvePtLx43CzEAw+Yii2LjihcvGg6Ibnd5ju9/rp/eiyLw2EaGbffboKqG24wGU3CTp0yLbL+fnMd6Yip0xncYLSCqCuuSH/rbHraLNsvf2mOEgUuY2mpOaR0991SU1NGzsQJAEDWOXPGzEXx8svmOnAIgNNp6s177jHD49O9g2/NNRl4wOvYMRNWRTqZUUWFtHGjuTQ1maPFCTp3zkw8/cYbpm31zjtzh+GtXm3aVmvXmvBpzZosG/E0Omra8P/yL9L0tEYvl+utNV/Wu+u+ovfOrND775vvGaqkxIx4qKszq3TZMpNDlpf7/7auY+3p5fWa3QprvyvwMj1t/vWsWVWsXPLjjyN3oisqMuv+8583/5ZVVSFPeOEF6b/9N///ypVXmjb81q15E05JZv243dLzP5rQL75/Qh8evSjNBvSIKimVKp2Ss1Jl1aW+fbCaGrM/tmqVWXfWPlfg9aJFebZfmwE5FUp1dHTI+elYG4/Ho7a2trDPW0ih1Oysf+6dVFwuXPAXfIn+4uXlnwYoy8ZVM/aGaode0JrJN1VXekKOAofpfdHcbErGDHcpTtrMjNTTY85O99FH5j6n04w5/8pXovYyuXDBHJmxQj0r4DtxYv45kyJxOIILyMDAyqoMJydN7nDpUuzvW1JiGhLWkaF160yHnaC85L33pP/xP8xwTsl86Je+ZI4y3HRTVlZsHo/pUn7okDnI+eGHc5+zapWZy3LdOnO9du0849GnpsybWUHUBx8EP754sVkXdXX+4Gn1arPRZIOZGdN76le/MpfAXlxWYnfnnSaouv56amAAwMIwO2vSlldeMZf33w9+vLLS9DC+5x7T7Tobus9IJiwLDKusU0eHznNQX+8PqG69NWJPrulp0/v83XfN6nj3XdPUCd1nqKoyPdA3bjTXy5en6fslY2ZGOnzYHCX+8Y/9DeMNG6Q/+iMzz8OnvF7TTn/vPfPTW9fhDtpGUlrqD6m83vChkxU8JbIPtmSJfzYHq3O9NcND1ADw4kWzDr73Pf9UD1ddZcKp++/PyjZ8XC5eNNPOPPus9Oqr8s7M6oOLV8q95GZ9VPc5jVTfqpHzVfrohEOffJLYRzgc/n0ua96zVFxKSxdGcztnQqmOjg5J8gVRPT092r9/vzo7O+c8NxtDKavwSSQkmu/xZOZKjFdRUXDgsWKFv/eO1ZunpiZMzxKv1+ykd3WZHXVLcbEZ0Lt5s9nRzZVxzGNj/p4v/f3+wtvplP7VvzJhVJKHf2Y/HRlnBVWBgdXkZHDllYyiInNkx7qUlwffdjpNOyWu7slvvin9wz+Yw2WWsjLT0LnrLhNoZHwip/A++UR67TVzeeON4G6+FofDrI/rr5fWrZ3VuuIhrRzuk/Odl+Q4/HbwOHSHw3S32rjRNHJuvDF3Knav13Qp++UvpZdemtutbNky853WrzcN2NWr82gcLpAe09PmaLt1OXvWXE9N+f8OfSz04vWaInXpUnNtXeK5nS37y0DW8npN2vLmm6ZR0Nc3d4jcddeZ9uudd5q6Plf2HKenTRjT12cu778fnIIUF8t7620av+mz+vjqJg2eX6VBt0PvvWeaBeHanlddZaaUve02c6mpydImwfi4OXhq9XAL/E1vucWEUbffHtNbBU5v8dFHZoTB5KS5Dvx7cjLxA/2WwAPNy5aFD5+qqlKwzi9elP7f/5O+/33/xF9Op79X3caNSfWqs5XXaw4Ud3eb8XuBQez69dL27WafJGSlXbxoOgd89JHZDwi8npjwB4eJdB5IVEmJ2bVMZdC1aFF2baM5E0pVVlZqaGjI11NKkhwOh8ItVipCqelpf4MwVUFS4L5qqhUUxP/PGOmx0G6JxcXxDQub18iIGbvc0xPcLaWszBxh2rzZFBTZVLFfvGgSir4+E0SF7pxXVJgw6qtftb0vcrguvtPT5mBPuCMwXq+/W3FFRWITjMe8YK+9Zk6B8corcwe0r1tnAqo77zSNumwqFQNMTvrn0rLm0zr90SXp7Dlp8tNWx6e1UpFjRtVFE7rCOa3l9cu0/MbluuK2Gl1x9WItX+6f3D2RiTqzwiefmG3g1VdNGBt6asVly0yD7pZbTEh13XW5E8ABUXi9/pMrhAuMzp417d1oj9l5IGk+JSXJhVplZWzeyDPT02bymTfeMJc33wxuu0hmI2hqMm2XpqYw46ByR+A5UU4fO6dT/R/o1FsnderopE5PlujUpUpd8n66kS9aJC37tItPWZmWVRfrhhvMwTnrOkuPNfonFXr5ZXN5553ghGjZMhNMbN1qApc0tEe9XlMPBIZUgb1qiovDj3JIZGqOlLHCqe99zwwrCLRmjT+guu227BqHaY3Rs/Y1T5/2P3blldKWLWa0zurVKfmomZm5U9xcupS6UUyRzneUCvFmB/NlCmVlZlNKpl2QE6GU2+1WQ0PDnADK4XCou7tbzc3NQfcHfqkPPxzWuXP+IUtWeh16GR/3Fxbj48mdcT2a4uLkf/xwQVKW7teHZ1USzz1nCo7AQqOy0vT1veUWc27Wujp7Qypr2fr7zU74m28Gx+EOhxlA3tRkCuSbb87hpMEGgV3eX37ZHGYLVFVlGnif+YxZn9k0pDPwSOmnl7EPzuq9qav13tTVenfqGh29vFpjpSvltRpsxfMP2XQ6/QGV0xncMy2019qyZdmVz/rMzJiErr/fNN7ffnvu3nZJiWmt3nqr2ZZvuimG8/ACqef1mgZiuF5HkXojhXsslUdFrUZcaNATLRRassRUQZHCr2i3UxmKlZQkF2otXUqwhQw6f970FnrzTVOPHT48fz3W1GT+zsJuhl5v8D5MpPlCretPPplvP+fTAnNiUpqcUNXFj1VXPKKGxR9p7eJh3VD2gVZdXSjHrZ8egLr1VtNdJ5t2QqamzEHkl182bc/QebUaGkyb8zOfydrfNGtMT5tpHfr7zSW0V11RkdkPskKqtWvtbbjOzASHyW+8ERwml5WZaUS2bDFt0Wz6P40i0VFW0TrKpPPg2JIl/s4PVgcIa041a98m9FJWZn6WnAilenp6tGXLljmhVGVlpZ588km1tLQE3W99qdLSGn32s8MJp4wOR+rHhJaWUvbN4fWaRkFPjxnXHdo9eskSU2lceaUJrAIvVVVmz768PP6Cxus1W6ZVS1tBVLgJqVesMEOVmppMYMaEz4kbHfUHVP39wQPyCwtNA6ex0ZzaePly/yWdey/T0yYYtfrrnjhh5l546625/wtWKHn77aa31y23aFpFGhszb2GdYtj6+/Rp/9/xDrd0OExhHim0Cnf/0qUZqHNjOcJcUGDWm9WIveWWLD60imzh9c7tgTTfULdwj507l7qjjVa7IFJgFEsYs2RJ5toB09Pz9+iK5faFC6lbnuLi5EKtRE8TjwXI4wk6wKT3359bMGRJj9/paX9bIvQkNOFOTJPo8LClS03zNvCyfLm5vvLKT3t3zwaMFnjjDXNgMXS9lZebYOLaa00vmtWrzZiydG+c1oo6fdp0+fr4YzNB6BtvBB9FKC01bfjPfMYcBM3KCa5yxMSEWcdWSHXyZPDj1tQOGzaYURFWKlFamth+2uSkGUY4Nma2YevvM2fMZx8+PHdir5ISE5Ddf7/5zXNlehibpHo+auuSaFJUUGCKkGefrdXUVI6GUg0NDWpvb1dra2vQ/VYoVVxsQinJ/H9a28XixZc1Pf2J1qyp1hVXFM9J7KwdvqVLs7SXQoZNTU3p/fff13XXXaclqe7VMj2t86+8olO9vVo1NqZFR47E1m2tsNDs4FZWmuuqKvP3smWmFR2pi1yklGDxYjOM0AqiamvTsqef1nWZJFuW7fJl0zi0ulWHm2lcMuu+stLfWrKCqhUrTGUzM2NK2cDr0Evg41ZD5sQJczl5MvJea3GxmQvKaqTeeGNCvbmsujUwuAp3RNNqbAaOjpudndHU1JSWLFmigoL592ZLS83cDitXBl9bl6TOJhirwB5mVkj18cdzn1dbGxxSrVxpS6KWzdtdqmXyu87MRA6JYh0Gl0xDJ5TDET3oiPaY1VNpIYv0u8ZzO57JgaNZtCj5ObYyuc+ykMqjWCW9TrxeU+dYAdQbb8w98Yhk2hC3BPT4sWluxIsXTbPDunz8cfDt06ejl3vh2gVLloQ/cBW4b1NRYZrIK1Yk2Hl5asp/qr033wzbw2xmdlZTU1NavHKliq66yt9mczpNyFdQYNrt1nXgJfA+6+9Ll/zBk3Wk79QpE0xEWlE1Nf7eULfdltaALJu34bQumzX7uxVQvfZa5H02axJbaxhAYLeZsjJ/+BR48Xhim/umrMy/DacxTM7m3znTZmdNHR9u9Jm1yz06eknHjnm0aFGVpqaKND4eXHS8+GKtLl2KHkplZQfrMWuC6QiqqqT9+83/e2CDY3R0Qj/+8bP68pe/rOpcmawti5w/f16vv/66rr766tRvlEVFmrr+ev3i6FF9+V//a1VXVpqxwe+950/GQy+Tk6bQGh2NfOrbKJ+p8nKzQ2yl+zZNSJ3WdZkkW5Zt0SLTK6qxUfqTPzGV2yuvmN/71Cl/A+TyZfP7j42Zx9K1LCtX+i+rVpn/g3XrUvK/4HD469+GhujPn572Dzs+fnxSzzzzsm6++bPyessjhllTU+box7Fj5hJOWZk/rKqpMXX3DTeY+1LWFnc4/GcW/PKXzX2nT/sbsW+8Yc4AZM3e/5OfmOdUVwfvIKRp6G42b3epluh3DZxXMZGhbqnuUVNUFNvQtvnCh5ISAqVUKCw0+xTJBNyzs7EFlPPdtvZ9Ll82+y6h057Eo6go+Tm2iosT+/9aSOVRrOJeJ16vqVMC65hwp9Bas8Z/EOTWW00yk0Yej+lwffiwqeqsOZxi+V8tKjI5TqSe0tJZvfba8/ryl+/WmjWVKi+3qVPXkiX+trJkKosjR8ww/k8bHzNHjujsqVMqHRszDZnQaRtSadGi4AOV111ngqja2vR9Zohs3obTumxmzJW5fPWr5n/Bmtrh4EFz0Hd83D8reKL7aUuXzh0hU1lp2ozXX2/bNC/Z/DtnmtXbqbw88qY3OjqpH//4p0H5y6VL/tDqrruCT/odSUZDqfr6+rD3ezyeiI9JpuF0xRXpWirYwhryc+21kZ8zPR3cpTPw77Nn5w5wDTxkZLrOsaeSLWpqpK9/Pfg+r9dUaoFHxwIDq5mZ+Y+wRToSV1lpgicrhKquzqr/g6Iifx28bNmMjh07qa1bL8970pPLl/1HXT/+2N8RzPrb4zE7c4OD5hKoqsp/1pzbb0/DFBHLl5sTGWzebG5PTprWurUT8d57prHyi1+Yi2T29G6+2b8DsW4d3bDjMDUlHTtWoKGhav3610UqKoptUu5z55I/s2egkpLogdGSJdnbkwWpV1CQmmDL+j9OdDii1RPPakYkG2wlEmpdulSgCxey8thv9rp82dQZVgD11ltzT75RWGjqDCuEuvlmK81Ji8AOwm+9ZS7hzuBrWbLEHAy68kqTpVh/W5doZ1IbHZ3W2NgZrV49m9n51ouKzJGtG27w3TX5ySf6+b59eqCpSZUzM/722/h4+N7soT3dQ59TWBgcPAWOM6yoyKq224JmzS91883SH/6huc+a1HG+CZ3PnQsOnkIvTD6Yt4qL4z8RVMZDKafTKbfbPSeECp3kHAtQUZH/Pxr5x+EwR0WcTjOBIiJatMh/0CqcCxdMaGUFVceOmXb90aMmw/35z81FMu28W281AdXtt5sDUSlt9y1bZg6L3HWXuX3xojnCZs1L9fbbpqHyyivmYn3B66/396RqbLStseL1mjb1mTP+s1leuhR8Hfr39LT5moEjiysrzX5RsnMKWWfzCQwhQ/+enJQuX16q0dEN6ulZktDohcWLYx/aFukx2pNIh4IC87+2dGni7xFuzrJ4Q66pKX+wZfVajYfZRjfpwIFluvrq4OHWgZdUzBc4O2v2Ba2RMdb1xIQpkxYtMjsJxcXBZwALvc/pNHmAbVnA9LQ5tfuhQyb1efddU9gGKi31H8S45RbT07lk/hOPJOvECTPzQF+fCaFCp0SVTOcs65w9gcFTMv+3Wc/h0OWyMs3W12veI2nIf4ETNF95ZaaXBnkg403KnTt3qqenxzd/lMvlmjOXFAAgstJS/6i6QFYe9Prrps1/+LDZsfrVr8xFMpmvlSE1NqahrV9S4u+qJZmjo2538BlVAieq/ed/NsnZli3SAw9I8/SajcelS2aYxQcfzL2k6owl1lDO0LDKuixdar6+dYrhmRnTo+P0aX/o9PHHsU23t3SpVwUFZ7VunVPV1Yvi6qlUVsa8ishvDof/fz3RkVxer9k+Ew21zpzxanRUmppyyO02xV44ixf7Ayor2Cgt9Z9K3jp1/Nmzc0Mn63p8PHVztJWUmLmsr7nG1CnXXGMuNTUpqh+8XhUcOWLK+ueem5v2OZ3+XrS33GJ61Kf5DALT06YqijQNpnWyPquzyI032jSPIwAsEBkPpdra2tTR0SGXyyVJ6uvrU2dnZ4aXCgByX2Ae9Pu/758W4PXXzcWanuNHPzKX4mITTN11lzkKXF1tLqWlKVyowkLTM27tWunBB/0TalrDNV591XTvcrnM5brrTDi1eXNMewGXLhXoyJECvfqq6TH2wQfmhIsffxx5p62w0IRGgb0GQq8DexUUFJgj5+F2Cq0eFcePJ7eanM7gHdXQ6/PnJ/XjH7/46Rj+RGa1BTAfh8OEuolOMTI6Oqkf/rBHTU1f1sWLlUE9Hq1ej2NjJvgaGjKXZJc3NBQvLze9qC5dCu7tafX+DO0NeuaMCemPHjWX0Pe/6ip/SLV6tTlmsGZNjBNrnzmj4gMH9Pn//b+11OHwj+morJTuuMPfU7amJq1dtS5eNPXe6KipH155xUyTE3rC4FtuMSd0W7/ezBdJz1AASJ+sKGLb2tp8f7e0tGRwSQAgfwVOC/C7v2t2Qg4dkl56SXrxRTOdl3WkONCSJaZHVXV15Ovq6gTnBwqcUPOBB0z3ob4+M0n6Sy+Z03u//770938v3X239MUvShs2aGbWoeFhsyNn9UJ4992lOny4WVVVS8MOaSsr8/cos3asrrnG7Gglu8MxO2vCqEg9Gc6cMT0drKE0Vi+IRYv8p+kODJ6i9UhI5VnOAKRHcfGsrr56NuJIp4sX/We8t0KrU6f8YVFgr8qlS8P3wkzl8OGZGTN0LVyP0slJ/3yG1shry8qVZhhbfb3/urZWKir0msTnxz+WXnhBpRcuaMnYmLyrVkn33WdO7b5hQ0p6Ql265J9v2bpY4VPg9blz4V9fWWnm0b7zTnPW+bKypBcJABCjrAilAAD2Ky42B6jvuEP60z81PYteesnsQ5w6ZRrwFy6Y4WTWjsl8li2bP7i64gozyeu8AVBhof90z+Pj8nb36PQPfyX3u5c09AOH3P/rkNyFU/pg6Y2arqiSHP5xaJcvF8jrlZzOWa1bZ3aOAgMopzN9B+CtOfYrK9Pz/gDyjzVU7uqrM70kRmGh/xjBZz/rv9/qBWrVA8ePm/rC7Ta9vayw6sUXrRfMqmh8TNecPay66SOqW7xI9aXrtOr6Yr1/R4Ea/78/V3WMX3p62nxGpJDJug4371MkJSX++bVvv91UN2vXMq82AGQKoRQAQA6HCXHq6qTf+R3//VNT0XcGRkfNUerJSXM5dmz+z3I6/b2rQkOr0lIzn4fp/VShoaEHNTX1dan4vDQ5Jo2PSbMz0icfqrTkQ9XdUqb6e1er/oYSVVae0zvv/Fzbt29VdXV6J8IFgIUi8Lwkt94a/Nj4uL/H6tDh8xr6xXENvXVWUxcL5dYyuQs2SkVVUvkVuvxBkSbfPqmmiSt0ww3+AweBQ+pCr+M5c+KiRdF79V5xBSdnBoBsQygFAIjImlNlvoPaXq8ZEhFLeBV4ivbBwdiWobDQoatvWKL6+iWqr7lCdcMvqO7VLl119qgc05J+vViq/LLGbtykDz64nIJvDQCIRUWFdPtVH+v2574n/fJn0sxlea+XTpav1dAd2+Ve9TkNfVSqoSFpcPCSLl0q1LvvFsZc/kumd22kAxmB16k4kyEAwH6EUgCApDgc/lO4h54BMJDXa3pSzRdcnTtnho5Yc5PU1Zmhd/4hf6WSmqXpe82Zm37wA3OYfv9+LfvBD3TLihUqaGzkdNUAkG4nT0r/9E/ST39qJqSSpOuvl+Ohh3TV3XfrqqIi3RX09El997u/VkPDFo2OVmhoyPSMLSubP2wqLydsAoB8RigFALCFdXao8nITOiWlqMhMkrtli5kY/Qc/kF59VSvffltL/+RPpC99SfqDPzAz8GYzr5e9LQB+uVAmnDrlD6Omp819GzdK3/iGOW1dhOUvKpKWLz+nL3xhmuMGAACfnAylpqelI0fm3j8xYeY1QXJOn3ZobCy251ZUmDNHJePUKTMnQTwuXYr9TF/xPDdQst9tYqJUg4MFtqzLeNZhKraTRH4zKTd+t0DxfM9Ufm42SPQ3Tlbc69Hh8M3WfvaVV3T6P/0nXXHmjPTMM1Jvr/SVr0i///smCcu0iQlTeR05Ys63fuSI6SYgmRmGQy9FRRFvl01P647jx7XkxRfN+EqHw8y2HnptXSI9bvd1NixD4HVhYeKvl7I3PPB6zfXsrP/i9ab2Oh3vGfjeubTMMzNz7i87f16fGRpSWU+PmexoZsY0YGdm5v4deJGkmhoz87Z1ufZaM6FTpk1OmjDqhz/0h1EbNpgDALfckvDb5kx9k+Uy1WbJ5zYhbfm5cuF3i+e7WdUlEjffdmJVFdHkZCg1Oir91m/NvX/pUnO2kHvuYeRGoiYmSvX7v78s5rOYVFVJTz+dXAH8ta8p5sJeMv/cJ0+aU6dHO417PM8Nlcx3O33aob/7u/vkcCyL+UzHiX5evOsw2e0kkd9Myo3fLVC83zNVn5sNEv2NUyGZ9Th77bV6raVFV69bp8oDB6T+funAAelnP5N+7/ekr389sdZRMmZnzSmpDhyQDh2K/Lzp6dhrbkmFly/LOTqqovPnzQ4vMsPhSF1IJqUuJKGVnXGFly+rfHRUhZcuxb+NDg+by89/7r/v5pulr37VVN7xVozJunxZ+j//R/rud/2nuVu/XvrDP5w783mccrW+yTaZarPkc5uQtvxcufC7xfvdamulhx6K/3NgRNtORkdje5+cDKWsISChCgtNvRnPaWERbGpqkTwehxYvNmfBms+FC2aDHx9PvFIbHzfvUVwc/fMCX3PxoingonV+iOe5gZL9bhMTDp07V6yqKjNXQjo/L951mOx2kshvZr0u23+30GWI9Xum8nOzQaK/cbJStR5n166Vvv1t6eBB6TvfMTOqd3aaFs4jj0ibN6e/h8vkpPSTn5gduY8/9t+/alVwD4i6OrNRRus9EdLDYmpsTK+/8ILu+sxnVFFenrkeLZm8DtM7JSXX8bACoNnZlP772CqVwVo29ZTLxOcF3Dc1MaHXXn5Zn/vCF1RRXR25B2To/TMz5hSmVq/KI0ekkRHprbfM5e//XvrN3zQBVWVlev83vF7p+eelvXulEyfMfXV10qOPSk1NKSlHc72+yRaZarPkc5uQtnz412X77xbvtuDxxHVMECGibSexVhM5G0otWZLppchvpaWxreNUDZeM9fMkU4BIUklJ9NfE89xQqfhuJSXemD832c+LZx2mQryfl0u/WyC7t4VsYvf/lJTi9bhhg9mZ6u6WnnrKHD776782vZb+7M+k669P4Yd96vhxM7TlmWdMa0wyrbHf/E3TxTdFez/To6M6+cknmv785+kanGqBQZOd115vZoY4ZusQxBw3PTqq0598oulETrywfLkJfSyjo9KPfiT9+Mfm73/8R+l73zNz6j30kLRmTUqXXZIJw/72b6W33za3q6ulP/oj6Td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      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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//OUv21FEoI8dN/wtbTvRbDulH2iNegNIz0TnAKfYoM7xcf/+/ahUKhERkcvl4o033mjLdlutr0brvfXWW7G8vBxXr15tSzmBwTM1NZWqnWi2ncq6H+hU+5y1Qe0/AXqVUApgAKW9yekXa2trMTc3F+fPn4+JiYmIiKhUKjE3NxfLy8snvvlptb4arXeahrUArUnbTjTbTmXVD3S6fc7aoPWfAL1OKAUwgAYtDHnvvffi3r17MTw8vO/9JElidnb2xDc9rdZXo/WGh4fj1q1bdde9c+dO6wUGBkbadqLZdiqrfqDT7XPWBq3/BOh15pQCoOddvnw5NjY2mv6sVwzKsBagc/q1nej39hmAzuiZOaWSJIk7d+7E3bt3Y3V19dDnxWIxcrlcbdn5+flOFwng1OjXm5yDCoVCXLhwIWZmZmo/M/7555/H2tpaLCwstG0/rdbXUesN2rAWoP2abSeabac63Q9k1T5nbVD6T4Be19EnpTY3N2NjYyOSJImVlZW4d+/evs+LxWJERC2IKpfLcffu3VheXq67PU9KAaRz1E3O1tZW34YhT58+jTt37sSDBw8iIuL8+fMxPT1d+34n0Wp9NVpvYWEhyuXykcNaPv744xOXHehvU1NTqdqJZtupLPuBTrbPWRvE/hOgG9LmN5kM3yuVSnHjxo1DodTIyEhsbW3VnpSKiBgaGoqjiiSUAkgn7U0OL7RaX43We/z4sWEtwLHSDn9rtp3SD7RGvQG0R88M3ztKpVKJJEn2BVK7yuVyTE9PZ18ogAFRrVYPXVBHvBiC8Pjx4y6U6GTu378fuVwuXn/99YiI+PDDD2N5eTny+Xx88MEH8eqrr55o+63WV6P1BnVYC9A+aduJZtuprPqBTrfPWRu0/hOg13U1lKonl8tFkiTZFgZgwAxaGPLOO+/E2tpaRETtO5TL5VhdXY133nknVlZWTrT9Vuur0Xpvv/12zM7O7hvWcunSpVhYWOjLYS1A+xUKhVTtRLPtVFb9QKfb56wNWv8J0Ou6NnyvXC7H1atXDw3VO3/+fCwsLEShUDi0HcP3ANIbpDk+Lly4EL/85S8jIuLHP/5x5PP52s917/3sJFqtr0GqZ6C3NdveZNE+ZdE+Z027DnByPT987yg7OzvdLgLAQBgeHo533nmn28Voi2q1Gr/97W/j29/+dqysrMSnn36677N2aLW+jltv0Ia1AO3XTDvRbDuVRT+QRfuctUHqPwF63Zlu7Tifz9d9P0mSIz8DIJ379+/Hw4cPa68//PDDmJqaitnZ2Xj27Fn3CtaimzdvxsWLF+PChQtx+fLl+MEPfhARL4aKXLp06cTbb7W+Gq33zjvvxOjoaK2sCwsLcfv27bh06ZIbHiAiInU70Ww7lVU/0On2OWuD1n8C9LxqBu7evVudnJw89H4ul6s+ePBg33vHFWlsbKwaEdWxsbG2lxFgkFy+fLn69OnTarVarZbL5ero6Gh1c3OzurS0VH3rrbe6XLrWVCqVarlc3vfevXv3qmfOnDnxtlutr0brfe9736st++6771aLxWLt9d7PgNMrbTvRbDuVZT/QyfY5a4PYfwJ0Q9r8JpPhe0cNyVtcXIxyuVybP6pUKtWdSwqA5iRJUhvyUSqV4r333ouLFy/W/prdjyYmJg7N5zE5OdmW4SGt1lej9aoDOKwFaK+07USz7VSW/UAn2+esDWL/CdDLOjp8r1KpRLFYjOXl5djc3IyFhYUolUq1z+fn5yNJkiiVSlEqlWJ9fT2Wl5c7WSSAU2H3JiciYmVlJa5evbrvs0EyNDR04m20Wl+N1hu0YS1A+6VtJ5ptp3qhH2hH+5y1Xqg3gNOko09K5fP5mJ+fj/n5+SOX2fvZzMxMJ4sDcGrs3uQMDQ0dusmZnJzsbuHarB03CcfV13HhUaN6npmZiUuXLkWlUokrV67U1hsZGdn3Rxrg9ErbTjTbrrfarrVTP4Y4p6n/BOgFQ9U+6i3S/qQgABFbW1uHbnI+++yzGBkZqf3KU794//334yc/+UlH91GvvjY3N2NqaiqeP3/e1Hpp6vnMmTPx9ddft6XswGA62E4029602q41I4v2OWuD1H8CdEva/EYoBXDKnD17tm03I1mZmpqK9fX1ruy71fCoUT3343EAspW2nWi2PWlnKN7N9jlr2m2A9NLmNx2dUwqA3tNHf4voCa3OidKonh0HoJG07USz7Uk/zvXUC7TbAO2Xya/vAdA7+vFm5MmTJ7G4uHjk5zdu3OjYvlu9CWlUz4buAY2kbSeabdfbGa50s33OWj/2nwC9zpNSAKdMv/6lt1qtHvm/k3r48OGRn7UaHu0t1/vvvx/Xrl2La9euxeLiYjx79qylbQKD6yTtRL12sBPt2nH771T73EsG7fsA9AJPSgEMsPfffz9WV1cjImJycjIWFxf78gmdkZGRuHnzZse2f/369dqcKIuLi6n/sn///v0jP9vc3IynT5/GpUuX4urVq1EoFCIiYn19PSYmJmJrayteffXVE5cd6G9p24lG7c1BrbZrzep0+9wtg9J/AvQ6oRTAADruJufhw4fx7W9/u8slbE6n/zq9d/v1bu6O8sYbb9T+++nTpzE8PFx7PTQ0FNPT07G8vLzvF5zefPPNeOutt+Kdd96JlZWVE5Yc6HeFQiFVO9GovXn8+PG+7bbarjVr0J4eGrT+E6DXCaUABtBxNzlvv/1234Uhs7OzHd1+q/OE7Ozs1P77Rz/6UXzyySf7Pv/Rj3607xjsmpycHLgbOaA1T548SdVONGpvDspq/qNOt89ZG7T+E6DXCaUABlDam5x+8dOf/rTj+/jVr34V1Wo1dnZ2av+96/XXX2+4fr0bwJGRkaaWB06fVtqJtO3HSdu1NLJon7M0aP0nQK8TSgEMoEELQ95///2YmZk5dBP12WefxZ07d048V8rnn3++74bj4sWLtc/qDYtJK0mSQzeCez8D6FQ70al27aBOt89ZG7T+E6DXCaUABtCghSErKyvxk5/85ND7Fy9ejEKhcOKbnidPnrS03t5ft6r3JMLf//3fH/nXdTc3QET6dqJRe3MwFGq1XWtWp9vnrA1a/wnQ64RSAANIGJKNycnJGBoaOvJJhKxuCoH+lbadaNTetOvJp9NO/wmQLaEUwAAatDCkWq3Gb3/720O/evT06dO2zfHx8OHDmJ+fj3K5XPvlvKWlpXj99ddrTygcfBJh78TDAJ3USnvTSrvWrCza5ywNWv8J0OvOdLsAANDIzZs3Y3JyMn7xi1/U3rt//35cvnw5isXiibe/tbUV09PT8aMf/Sju3bsXGxsbceXKlbh69Wq8//77cenSpZa3/fDhw3jrrbdidHQ0zp07F7Ozs7WbwYcPH+4bkgOcTp1oJzrZru3V6fYZgMEmlAIYQPfv3993E/Phhx/G5cuXY3Z2Np49e9a9grVoeno6bty4ET/84Q/j3Llzce7cubhy5UrcvHkz3njjjRNv/9133427d+/G22+/HRMTEzExMRGFQiGuXLkSCwsLsbGxUfdpgkb1nNVNIdC/0rYTzbbrrbZrzep0+5y1Qes/AXrdULWPnqsdHx+P7e3tGBsbi0ePHnW7OAA9a2pqKtbW1uLVV1+NtbW1eOutt6JcLsfq6mrcu3cvVlZWul3Elm1tbUVExMTERNu2OTU1Fevr6/ve++ijj2r1dfCzvesdV89JksTNmzf3zf0S8eJm8YMPPojPP/+8rd8D6D/Xrl1L1U4026632q6dRCfa56wNcv8JkKW0+Y05pQAGUJIk8eqrr0ZERKlUivfeey8uXrwYFy9ejAsXLnS5dCfTiZuden+fefPNN+PNN9+My5cvH7leo3rO5XKHbjQ/+uijiHgxaXE/37gB7bGzs5OqnWi2XW+1XTuJQWjTBrn/BOhFhu8BDKDdiWcjXvxc99WrV/d91o9251zZHR5y7dq1+NWvftWWbRcKhbh27VqtziIinj17FrOzszE3N3fkeo3q+aibwlu3bvXtcQDaK2070Wy73mq71opOts9ZG8T+E6CXCaUABtDuUJALFy7E5cuX4wc/+EFERKytrcXk5GR3C9eCvXOubGxsRLlcjitXrsTk5GRbbnx251n57ne/GxcuXIipqakYGRmJqampeOedd45cr1E9Z3lTCPSntO1Es+16q+1aszrdPmdt0PpPgF5nTimAAbW1tRWVSiWuXLlSe++zzz6LXC7Xd0Msrl27Frdu3TpU7s3NzVhcXIyPP/64Lft5+vRpbGxsRETE5cuXY3h4uOE6jeq5WCzGzZs349y5c5HL5WJzczOWlpbiJz/5SVvKDPS/tO1EK+16K+1aM7Jqn7M0SP0nQLekzW+EUgD0vHoT9qb5rFd0+qYQ6H/92k70e/sMQGeY6ByAgXHc30/64W8rw8PD+/7iDnBQv7YT/d4+A9Bd5pQCoOfVm3Pl4cOHce3atXj33Xe7WDKA0037DMBJeFIKgJ5XKBQiSZL47ne/G+fOnYuIiEqlEktLS/H22293uXQAp5f2GYCTMKcUAH2jX+dcARh02mcA9jKnFAADp1/nXAEYdNpnAFphTikAAAAAMieUAgAAACBzQikAAAAAMieUAgAAACBzQikAAAAAMieUAgAAACBzQikAAAAAMieUAgAAACBzQikAAAAAMieUAgAAACBzQikAAAAAMieUAgAAACBzL3W7ABERxWIxcrlcREQkSRLz8/PdLRAAAAAAHdX1J6WKxWJERBQKhSgUCjE5ORlzc3NdLhUAAAAAnTRUrVar3SzAyMhIbG1t1Z6UiogYGhqKesUaHx+P7e3tGBsbi0ePHmVYSgAAAADSSJvfdHX4XqVSiSRJ9gVSu8rlckxPT9ddr1qtxlfJVx0uHQAAAADNSvv8U9dDqXpyuVwkSXLkev/113+I/3Xi/+tQqQAAAABo1X99+odUy3V9Tql6RkdHY2dnp+n1qtWI58+fR3cHJPavTtffaTo+vfxde7lsp41j0V6nqT5P03eFfuQcPUydNNbLddTLZeuEXv6+vVy2fqMuT6Zd9dcTv753UKNA6n/6zkvxf/+///Oh9x8/fhz/z8cfx/9y7VqcO3euU8UbWJ2uv9N0fHr5u/Zy2U4bx6K9TlN9nqbvCv3IOXqYOmmsl+uol8vWCb38fXu5bP1GXZ5Mo/o7/xcvxT/8Q+PtdDWUyufzdd9PkuTIzyJeTIT+cu7lQ++//PzleOlbZ+Pl3Mt1P+d4na6/03R8evm79nLZThvHor1OU32epu8K/cg5epg6aayX66iXy9YJvfx9e7ls/UZdnkyj+hsaGkq1na4O38vn85HL5erOLXXUJOcAAAAA9L+uzym1uLgY5XK59rpUKkWhUOhiiQAAAADotK6HUvPz85EkSZRKpSiVSrG+vh7Ly8vdLhYAAAAAHdQTE53Pz8/X/ntmZqaLJQEAAAAgC11/UgoAAACA00coBQAAAEDmhFIAAAAAZE4oBQAAAEDmhFIAAAAAZK4nfn2vWX/4Q8Qvf3n4/WfPIn7/++zLM2h+85uh2NlJt+zwcMRrr51sf198EfH0aXPr/P73Ed/4RvuX3euk3+3Zs5fjwYMzmdRlM3XYjvOklWMW0R/Hba9mvmc799sLWj3GJzVo9QjA8fQ37dGta5ZBviZ0LX9YPxy3Zr5btdr6fnjhuPPkD39It42+DKUeP474d//u8Pv/8l9G/Ot/HfFv/23EuXPZl2sQPHv2cvz7f//t+O1v0y0/Ohrx85+frAH+q7+K1I19xIt/3P/4jxF/+qcRLzX4F9zMsged5Lv95jdD8Z/+0w9jaOjbcfZsZ/fXbB2e9Dxp5ZhF9Mdx26vZ79mu/faCVo9xOwxSPQJwPP1Ne3TrmmWQrwldyx/WD8et2e82Ph7x1lvN74cXGp0njx+n205fhlJDQxGvvnr4/bNnI/77f4/UgQqH/dM//UkkyVC88krEyy8fv+xXX7044Z8+bb1Te/r0xTa+8Y3G+9u7zu9+96KBq/fvoNVl9zrpd3v2bCi+/PIbMToa8a1vdXZ/zdbhSc+TVo7Z7nq9ftwOliHt92znfntBq8f4pAatHgE4nv6mPbp1zTLI14Su5euv1+vHrdlzIUnSP83DYY3Ok6GhdNvp21DqX/yLbpdisL38cro6btdwybT7i3jRgEREfPObjddpZtmD2vHdvvnNaur9nnR/zdRhOzS7v346bntlfS70kqz/TUUMZj0CcDz9TXt065plkK8JXcv/UT8dt7Tf7euvT74vjj5P0oZSJjoHAAAAIHNCKQAAAAAy15fD91JpNO3+oP3kRiNp6iPtLH6t7KMd2+8Vaeoy/qSz+9i3rw7+PMUgnidZfOc0x+/gOXHUOrvlafVndRqdl/12fI+rp4NtTKM6TbPsUQ5uI82+6i3Tj8cA6KxGbUXatu2k7Voz+2p22X7R6rGop1F/nva6oN56rgWb0+lr+WaOXaevOQfp+HX6mvY01WUaWdzz/rOBDKVe2vlNxP/+H46fdn+QfnKjkTQ/QzA6GvGf/3Pn9nHS7feKtHX5H//PiBjp3D727uv/+L8iovmf3jiV50na4/fzn0fLF3hpj9+ec2LoN7+J+A9HHIvR0YjbtyMKheZ/Viei8XnZT8f3uLo92MY0Wnbv927lZ2j2biPNviLqL9NvxwDorKPakzTtetp26SjNtI2tLNtvf5w8ybGop1F/nva6oN56LV4LNnVd1G/H7ygdvpY/+/iLiP+tiev4E1xznqpr+TT3mieoy1Tn3KDUZRpZ3PPuMZCh1Nn//9nx0+4P2k9uNNLoZwh26+MkP1t43D7asf1ekbYuv/wyWj5B0/5sxL56bf5C5FSeJ2mP39On0XIoleb4HTgnhp4dcSx2l/uHf2jtZ3UiGp+X/XR8j6rbem1Mo2X3fu9mf4bm4DbS7Cvi8DL9eAyAzqrXnqRp19O2S0dppm1sddnR0dbrpRtaPRb1NOrP014XHLXdFq8Fm7ou6rfjd5QOX8uf+W2T1/EnuOY8Vdfyae41T1CXDc+5QarLNLK4591jIEOpmuOm3R/En9xoJIv6OGofg1bf3azLdu/rNJ4nvXD86u2n3jp7l2v1Z3UG7bxsVE/tXPYorRy/esv06zEAOqtRW5G2bTtpu9bMvppdtl+0cizqadSft3r8XAu2ptPfOatj12hfg3b8On1Ne5rqMo2M6sNE5wAAAABkTigFAAAAQOb6cvhetRrxT/90+P1D8+999VX9DRz1/qBroj7SVFHdZeq9mWJjzRyS3/3uj/9f799Bq8s2VZ6Udfm73w2l2m/qujzm87R12K7zpNnTqCeOW6MFO30uNLv/Rq/TbjuD87IdWj5+zdR1K8cl7XJp9rX3vdPaFwGNNWor0rZtJ23XmtlXs8s2v1jbNLW/Zo9Fmh226/i1cC3Y1DVLh45fT1wTdvpavsljl2aVXaf6Wj7lOZj2XPjGN1KueFqv2U54nlSr6XbTt6HUs2eH3//GN16J3/zm+5H7bu7FZHw7O0ePdRwd/eefMTwFhodT1ccr/+pfxdTUN+PnPx+Kp0/TDRP9YzU22Mc/b//73/9+vPLKK00V7aDnzyO++c2IP/yh/r+DVpetU+TD/0RS1uVr383Fa6/9Sfy3/3Ym9X5T1+WBlYb/7FtN1eFJz5NWjllEl4/brpTHL4aHYzia+55NH78958Q3c7mj1xkdjfizP2u1MA3Py3qV1eoxboeWj9/BNqbBsvt20soX3ruNtPuqt0yLfdErr7xyqD0FekfL5+hR7Umadj1tu3SUZtrGFpatVyc9299EnOxYHLXD4/rztNcFdbbb7LVgU9csHTh+g3wt/60/a+46vpVrzlN5Ld+o0C3W5cjIK/EXf/H9+OZrOfnBXm06T9KGUkPVatpFu298fDy2t7fjT/90LP7Lf3lUd5nh4X+eEP+LL/74yxjHLnhKNFEfjRY9YrXjVzymvpvZ367f/75Ost2GZfc6ssgp67LZ75W6Ltu5rxbPk1aOWUSXj9uubp8LRxX0qHV2l2u1MBmel+3Q8vGrt2I7lk1b0DT7qrfMaeuLgMYatRVp27aTtmvN7KvZZVOs1mmpmt9Wj8VxO2z38WvhWrCpa5YOHb+BvpZv8tilKVLL+xqka/mU17TdOhcGThvOk3/zb8bjH/9xO8bGxuLRo/r5TUSfhlKNvhQAAAAA3ZE2vzHROQAAAACZE0oBAAAAkDmhFAAAAACZE0oBAAAAkDmhFAAAAACZE0oBAAAAkDmhFAAAAACZE0oBAAAAkDmhFAAAAACZE0oBAAAAkDmhFAAAAACZE0oBAAAAkDmhFAAAAACZE0oBAAAAkDmhFAAAAACZE0oBAAAAkDmhFAAAAACZe6nTO0iSJO7cuRN3796N1dXVQ58Xi8XI5XK1Zefn5ztdJAAAAAC6rKOh1ObmZmxsbESSJLGzs3Po82KxGBERhUIhIiLK5XLMzc3F8vJyJ4sFAAAAQJcNVavVaqd3UiqV4saNG3Hv3r1974+MjMTW1lbtSamIiKGhoTiqSOPj47G9vR1jY2Px6NGjThYZAAAAgBakzW+6NqdUpVKJJEn2BVK7yuVy9gUCAAAAIDNdDaXqyeVykSRJtoUBAAAAIFM99+t7o6OjdeefAgAAAGBwpJ7ovFQqxcrKSsPlFhcXY3JysuUCCaQAAAAABl/qUGpmZiZmZmbatuN8Pl/3/SRJjvwMAAAAgMHQteF7+Xw+crlc3bmlpqenu1AiAAAAALKSSSh11JC8xcXFfb+0VyqVolAoZFEkAAAAALqoo6FUpVKJYrEYy8vLsbm5GQsLC1EqlWqfz8/PR5IkUSqVolQqxfr6eiwvL3eySAAAAAD0gKFqtVrtdiHSGh8fj+3t7RgbG4tHjx51uzgAAAAAHJA2v+nanFIAAAAAnF5CKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAy91Knd1AsFiMi4sGDBxERsby8fOjzXC4XERFJksT8/HyniwQAAABAl3U0lFpYWIilpaXa67m5ubh69Wqsrq5GxB8Dq0KhEBER5XI55ubmDgVXAAAAAAyWoWq1Wu3EhpMkievXr8fdu3drT0Jtbm7GpUuX4sGDB5HP52NkZCS2trZqn0dEDA0NxVFFGh8fj+3t7RgbG4tHjx51otgAAAAAnEDa/Kajc0ptbGxEpVKpvc7n8xHxIrCqVCqRJMm+QGpXuVzuZLEAAAAA6LKODd/L5XLx5MmTfe/thk35fD42NjaOXC9Jkk4VCwAAAIAekOmv7924cSOWl5frPh21a3R0NHZ2drIrFAAAAACZS/2kVKlUipWVlYbLLS4uxuTk5KH3FxYWYnZ2tjap+VEEUgAAAACDL3UoNTMzEzMzMy3tpFQqxfnz5/cFUrvzSx2UJMmRnwEAAAAwGDo+fG93HqndQGp3kvN8Ph+5XG7fROi7pqenO10sAAAAALqoo6HU5uZmbG5uxuTkZFQqlahUKnH79u0YHR2NiBdD/fb+0l6pVGo4vA8AAACA/jdUrVarndhwkiQxMTFR95f09u6yWCzWhuutr6/H0tLSkdscHx+P7e3tGBsbi0ePHrW9zAAAAACcTNr8pmOhVCcIpQAAAAB6W9r8puNzSgEAAADAQUIpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADInlAIAAAAgc0IpAAAAADL3Uic3niRJ3LlzJyIiHjx4EJVKJT744IPI5XK1ZYrFYu11kiQxPz/fySIBAAAA0AM6+qTUwsJCTE9PR6FQiKWlpRgdHY3r16/XPi8WixERUSgUolAoxOTkZMzNzXWySAAAAAD0gI6GUpVKJUqlUu31+fPnY2Njo/b6xo0bUSgUaq+np6fj9u3bnSwSAAAAAD2go8P3VldX971eX1+P6enpiHgRWCVJsm8o365yuVxbDgAAAIDB09FQaq9SqRRJksTdu3cj4kUoVU8ul4skSbIqFgAAAABd0PFQaney8yRJ4vr163WfjNprdHQ0dnZ2Ol0sAAAAALoodShVKpViZWWl4XKLi4sxOTlZe53L5WrzRt2+fTtGRkZia2vryPUFUgAAAACDL3UoNTMzEzMzM6k3nCRJ3LhxIxYXF2tPR01PT0eSJFEul/cFVwfXy+fzqfcDAAAAQP/p2K/vVSqVKBaL+5582p0rKpfLRT6fj1wuV3duKZOcAwAAAAy2joVSk5OTMT8/v++pp5WVlZicnKyFTouLi1Eul2ufl0ql2lA/AAAAAAZXRyc6X1xcjGKxWHudJEmsra3VXs/Pz0exWIxSqRQREevr67G8vNzJIgEAAADQA4aq1Wq124VIa3x8PLa3t2NsbCwePXrU7eIAAAAAcEDa/KZjw/cAAAAA4ChCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyN3Ch1JdffhlDQ0MxNDQUX375ZbeLAzTB+Qv9zTkM/c05DP3L+Uu/GrhQCgAAAIDeJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHMvdbsAzfjiiy8iIuLXv/51jI+P112mWq3W/vvP//zPY2hoKJOyASfn/IX+5hyG/uYchv7l/KXX/PrXv46IP+Y4Rxmq7v3X2+POnj0bX3/9dbeLAQAAAEADZ86ciefPnx/5eV89KfXyyy/HV199FWfPno3XXnut28UBAAAA4IAvvvginj9/Hi+//PKxy/XVk1IAAAAADAYTnQMAAACQOaEUAAAAAJkTSgEAAACQub6a6PygJEnizp07cffu3VhdXT30ebFYjFwuV1t2fn4+4xICRznu/C2Xy7G8vBxXr16NfD4fq6urMTU1FTMzM10qLVBPsViMiIgHDx5ERMTy8vKhz/XD0LuOO4f1xdC7dq+jI16cv5VKJT744INanxuhD6Z/9G0otbm5GRsbG5EkSezs7Bz6fLeTLRQKEfGiY52bmzt0wQxkr9H5myRJlMvlKJVKkc/nY2FhwUUw9JiFhYVYWlqqvZ6bm4urV6/WQmb9MPS2Ruewvhh618LCQiwsLEQ+n4+IF+fv9evX9cH0pb7/9b1SqRQ3btyIe/fu7Xt/ZGQktra29qXFQ0ND0edfFwbKUedvqVSK6enpfecv0DuSJInr16/H3bt3a+fp5uZmXLp0KR48eBD5fF4/DD0szTmsL4bedfXq1bh69Wrt6adisRg3btyIJ0+eRIR7YfrLQM4pValUIkmSup1ouVzOvkAAMGA2NjaiUqnUXu/+tTZJEv0w9IHjzmGgt62uru4bjre+vh7T09MR4V6Y/tO3w/eOs7eD3SuXy+looU/cuXMnRkdHY2dnJx48eLBviAHQXblcrvbX2F27F7r5fD42NjaOXE8/DN3X6BzepS+G3lcqlSJJkrh7925EuBem/wxkKHWU3U4V6G2Tk5MR8ccL49u3b9eGGQC96caNG7G8vHzsUB/9MPSug+ewvhh62+5k57vDcRsNtdUH06sGcvjeUZyE0B/y+fy+v9S+9dZbtb8CAb1nYWEhZmdnaxOqHkU/DL2p3jmsL4belsvlolAo1IbxjYyMHHt+6oPpVQMZSu3tQPdKkuTIz4DeUSqV9r3e/cvPUY8jA91TKpXi/Pnz++a20A9D/6h3Du++v5e+GHpDkiSxsLCwL4Canp6u/WKmPph+M7ChVC6Xq9tp7k4AB/Sm3UeQ956/u52ujhR6y+4cNLtPV+xOcq4fhv5w1DmsL4beValUolgs7nvyaff8zOVy+mD6Tt+HUkc9hri4uLjv1wVKpVLDYQVAtuqdv7lcLubn5/dd9N6+fTtmZmb8LDX0kM3Nzdjc3IzJycmoVCpRqVTi9u3bMTo6GhH6Yeh1x53D+mLoXZOTk4fOz5WVlZicnKyFTvpg+slQtVqtdrsQrahUKlEqlWJlZSU2Nzdjfn4+pqamYmZmprZMsVisnazr6+t+MQR6RKPzN0mSuH37dm35x48fO3+hhyRJEhMTE3Xnrth7WaEfht6U5hzWF0PvOnh+7v465t7QWB9Mv+jbUAoAAACA/tX3w/cAAAAA6D9CKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAyJ5QCAAAAIHNCKQAAAAAy9z8AF6m+2g1/r30AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot derivatives for each knob\n",
    "\n",
    "layout = Layout(ring)\n",
    "_, _, lengths, *_ = layout.slicing_table()\n",
    "rectangles, labels = layout.profile_1d(scale=5, shift=-5.0, text=True,  delta=10.0, fontsize=8, exclude=['Marker', 'Drift'])\n",
    "\n",
    "for dbx, dby in zip(dbxdk, dbydk):\n",
    "    fig, ax = plt.subplots(figsize=(12, 4))\n",
    "    ax.errorbar(ring.locations().cpu().numpy(), dbx.cpu().numpy(), fmt='-', color='red', alpha=0.75)\n",
    "    ax.errorbar(ring.locations().cpu().numpy(), dby.cpu().numpy(), fmt='-', color='blue', alpha=0.75)\n",
    "    x_min = 0.5*ring.length/12.0 - 1.0\n",
    "    x_max = 1.5*ring.length/12.0 + 1.0\n",
    "    ax.set_xlim(x_min, x_max)\n",
    "    ax.set_ylim(-35, +35)\n",
    "    ax.tick_params(axis='x', length=6, width=1.5, direction='in', labelsize=12, bottom=True, top=False, labelbottom=True, labeltop=False)\n",
    "    ax.tick_params(axis='y', length=0, width=0, labelsize=12)\n",
    "    for rectangle in rectangles:\n",
    "        ax.add_patch(Rectangle(**rectangle))\n",
    "    for label in labels:\n",
    "        if x_min < label['x'] < x_max and label['s'] in QF + QD + nkn + nks:\n",
    "            ax.text(**label)        \n",
    "    plt.setp(ax.spines.values(), linewidth=2.0)\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "b89474dc-77cf-4351-8092-772b157eddbf",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([7, 1512])\n",
      "torch.Size([7, 1512])\n"
     ]
    }
   ],
   "source": [
    "# Eta function derivatives\n",
    "\n",
    "knobs = torch.tensor((1 + 1 + 3 + 2)*[0.0], dtype=dtype)\n",
    "detaxdk, detaydk = torch.func.jacfwd(observable_dispersion)(knobs).permute(1, -1, 0)\n",
    "\n",
    "print(detaxdk.shape)\n",
    "print(detaydk.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "85a39209-b08d-4dff-9e86-ccfcc5bf4496",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6xjfs6/Bhu7ZYssSuNXbvlmbNsq927exB14gRdg3ODr7IFi4xxVzjyOLTDJenbmIKiLoNG6TSUpsHcfJk8vevvNLK9VO5FXRenvQ3f2MzKSoqpJIS6d//nV1IAAAIkr177RxdVWVjLkpKLq+q6YorpLvvtq/jx+2aY8kS6b33pAMHpNdes69WrewB2AMP2C5lQFQlEgw+zwIkpnB5XNb644+lo0el1q39xgOky2efSU88YVtAS/Z005XW9+1rPe+p1rKl9NOfSt/7nr3+X/2VDUZPReILAABcnqNHLRG1f7+15f3t39omJqnSooU0cqR9VVfbzfmSJdLSpZakWrhQWrHCWv7at0/d6wJBsmuXdRHk5Vk7KyIpx3cACLkOHaSCAstkb9jgOxogPRIJmxtRXS0NGCDNmCG99JL0539uv05HUsrp0EH6x3+0JNWGDdLUqRYPAADw5/Rp23Vv2zZLCk2blt4HtHl50uDB0o9/bNXb//7vtsPv0aPSv/1b+l4X8K283I59+0rNmvmNBWlDYgqXz5VUug8NIGpee80G/DdvLj31lJXMZ3L4aGGh9Hd/ZxelixZJ06dn7rUBAMDZEglLRK1da1VN//iPVkmdKbGY1KePVWvl5EiLF9vgdCCKmC+VFUhM4fK5DwnmTCGK9u1LJoIef1y6+mo/cdx8szRliq1nzZJ+9zs/cQAAkO3+4z+ksjJLCj39tFUu+XDDDbYDoCT9679Kx475iQNIl0RCWrfO1iSmIo3EFC7fwIF2rKiQ4nGfkQCplUhI//IvNtD0ppukr3/dbzzjxknf/a6t/+3feDoKAECmvfaa9Pzztn7ySWuv8+mb37SxGvv3U1GN6Nm2ze4vmzWTevf2HQ3SiMQULl9+vrUaSdL69V5DAVJq8WLbsjkvT/rJT+zJqG8PPyzde68lzf72b6UtW3xHBABAdli92h5YSdK3viWNH+83Hslu2J980tavvcbMV0SL68jp18+uxxFZAbjLQiS4qina+RAVR45Iv/iFrR9+WLr+eq/hnBGLST/6kTR0qHTqlPTcc74jAgAgO/z61/Zg6M47LTEVFAMG2EMryXbvPXXKbzxAqrgZxm6mMSKLxBRSgwHoiJr/83+sdLhLF+nRR31Hc7bcXOnP/szWy5bZltEAACB9Pv1U+uCD5Dk4k5ug1MfkyVK7dtLOnTy0QjTU1ia7cZgvFXkkppAaAwbYCXrHDutxB8KsvFyaM8fWP/mJ1KSJ33jO5/rrbUeemhpp7lzf0QAAEG2vv27HW2+V2rb1G8v5tG5tFdWS9OKLNvsVCLNPPpGOHpVatrQdsRFpJKaQGq1bJz8waOdDmJ08Kf3sZ7b+2tekvn39xnMxEybY8Y03rLUAAACk3qlT0oIFtnYtc0E0YoR91dRYS19tre+IgMZznTgDB1qlIiKNxBRSx7XzkZhCmP3mN9Lu3dJVV0mTJvmO5uLuuMOeIu3endxKFwAApNY779jsyY4dpUGDfEdzcT/8odSqlfThh9Irr/iOBmg8d23rZhkj0khMIXUYgI6w27JFevllW//FX1jSJ8iaN5fGjrW1azEAAACp5c6xEyYEY4fei2nfPjmH8v/+X6my0m88QGNUVyfnSzH4PCsE/JMVodKvn5VZVlZKe/b4jgZomOpqado0K3u/4w5p2DDfEdWPayl45x3p0CG/sQAAEDU7d9oNciwmjR/vO5r6mTDB5r+ePCn9/Oe0+yN8PvpIOnFCuuIKqbDQdzTIABJTSJ2WLaVevWxN1RTCprTUhiy2aSN9//u+o6m/Hj3sq7pamj/fdzQAAESLq5YaOtTa/MMgFpOefNI2b1m9OjkfCwgLdy85cGDwdsBEWpCYQmq5rTxJTCFMdu2Sfv1rW3/ve8HcbediXNXU66/zVBQAgFSprpbmzbN1kIeen09BgfStb9n63/9dise9hgM0iBt8Thtf1iAxhdSqOwCdG2SEQSJhu/CdOmX/fu+6y3dEDTd2rNSsmfTZZ9L77/uOBgCAaHj3XUvotG8v3XKL72ga7oEHrA3qyBFLTgFhcOqUtGmTrRl8njVITCG1brrJyob37bMqFCDo5s61RGqzZlb2HsZy4ZYtpdGjbc0QdAAAUuONN+w4fnw4t6vPy5OmTLFrm4ULpRUrfEcEXNoHH1hyql07qUsX39EgQ0hMIbWaNZP69LG1K8EEgurAAelXv7L1d74jderkN57L4VoMFi+Wjh71GwsAAGFXWWnzmSTpnnv8xnI5evaU7rvP1j//uVRV5Tce4FLcSJibbw7nA2M0CokppB5zphAWzz5rSZwbb5T++I99R3N5eveWunWzHXjKynxHAwBAuL35ph0HDQr3gytJ+pM/sf8Ne/faZi9AkNVNTCFrkJhC6rkPkXXrmDOF4Dp1ysraJWnSpHCW6NcVizEEHQCAVKipkebMsfWECX5jSYXmzS05Jdkwd64REFQnTkibN9uawedZhcQUUq93b2vpi8elbdt8RwOc33vvWbVUx47ROfGNG2cz3rZulT76yHc0AACE04oV0v79Un6+NHy472hSY8QIqUULafdum+EDBNH779tumB07Stdc4zsaZBCJKaReXp7Uv7+taedDUM2fb8dx46LTv96mjTRypK3dwFYAANAwbiORu+6y69ooaN48eY0wb57fWIALcTOKi4qic32OeiExhfRw7XwMQEcQxePJnWnGjfMaSsq5dr6FC6Xjx/3GAgBA2HzxhbR8ua2j0MZX15132vHtt22kARA0zJfKWiSmkB7uw2T9eqm21m8swJe99ZbNj+jZU+ra1Xc0qdW/v1RQYEmpt97yHQ0AAOEyZ47NYOrfX7ruOt/RpNbAgdYidfSojTQAguTYseQoioEDvYaCzCMxhfTo0UNq2dJOfJ984jsa4GyuhN09OYySWCz5hNe1IgAAgEurrU22wrsK5CiJxZKV4m6kARAU69dbUrigwBKoyCokppAeubnJTDdzphAk27ZJH39s/0ZHj/YdTXrcfbfNxPjwQxuEDgAALm31amnvXql1a+n2231Hkx4uMbVihY02AIJi3To7Ui2VlUhMIX1cOx+JKQSJe0I4dKjtthNFdXcRomoKAID6cefMO++0HaajqGtXqVcvG2lAyz+CpO7gc2QdElNIn7pzpqqr/cYCSFaiv2CBre+6y28s6eba+RYskE6e9BsLAABBd/CgtGyZraPYxleXG2XA7nwIikOHklX+VExlJRJTSJ/CQumKK6QTJ6ylCPBt7Vpp3z4r0R82zHc06VVcLHXqZIMkFy/2HQ0AAME2d65VEd10k9Stm+9o0mv0aBtp8PHHNuIA8M218V1/vdS2rc9I4AmJKaRPLGY3x5K0cqXfWAAp2cY3erTUpInfWNItFpPuucfWtPMBAHBhiUS0h55/2ZVXSrfcYmuGoCMIVqyw46BBfuOANySmkF7upLd8ud84gOPHk5VDUdyN73zGj5dycqSNG6Xt231HAwBAMK1bJ+3aZTtK33GH72gyw400WLDARh0AviQSySKGoUP9xgJvSEwhvYYMseOWLdKBA35jQXZbssRmLXXubGX62aB9+2Ry2D0JBgAAZ3PnyDFjpObN/caSKbfcIrVpYyMO2KgIPm3dKu3fbxsODBjgOxp4QmIK6ZWfbzt/SLTzwS9Xqn7nndbmli1cS8K8edLp035jAQAgaA4fTlZUZ0Mbn9OkiY02kGjng1+uja+4OPqjNnBBJKaQfq5qyn3oAJn2xRfJLWjHjfMbS6YNGSJ16GAX3u++6zsaAACCZf582z26Rw/pxht9R5NZbrTB4sU28gDwwY18oY0vq5GYQvq5VqJVq2y3EyDTysqsf71/f9upLpvk5jIEHQCA80kkkufGCRP8xuJD795SQYGNOliyxHc0yEZHjkibNtmaxFRWy0hiatq0aZo2bZomT56syZMnZ+IlESQ9e9ruH8eOJT94gExJJKyNTUoO+sw299xj7Yvl5dLu3b6jAQAgGD74wDYHadZMGjvWdzSZF4slq6bctRKQSatX27X69ddLV1/tOxp4lPbEVElJiaZMmaIpU6Zo+vTpkqRx2dZKk+1ycmjngz9btthFZ9Om0siRvqPx4+qrk9vvMgQdAADz2mt2vOMOqVUrv7H44u7L1q6V9u71Gwuyj2vjcx02yFppTUzF43GVl5crHo+f+b3JkyerrKxMFRUV6XxpBI0rzXQfPkCmuCeAw4dn70WnJH3lK3acM8dmaQAAkM2OHpUWLbJ1Ng09/7JrrrGd0BIJG30AZEoikdwcyxUxIGulvWJq9erVZyWhCgsLJemsZBWywODBVi5cUWGDqIFMqK6WFi60tStVz1bDhklt20oHD0rvvec7GgAA/Fq40GYrXX+9dNNNvqPxy406mD/fkgVAJnz0kRSPSy1bSv36+Y4GnqU1MZWfn6+DBw+qqKjozO+V/Vcm3iWokCWuuCJ50neZcSDdVq6UDh2yhIxrZctWeXnS3XfbmnY+AEA2qzv0/N577eFpNhs50kYebN9uIxCATHD3hMXFdp2KrJbxXfmmTp2q6dOnKz8/P9MvDd9cOx9zppAp8+fbcexY250u27kdh1auZI4EACB7ffyx9MknUpMmVFRLVrEyYoStGYKOTGG+FOrIaGKqpKREDzzwgCZNmpTJl0VQuMTU6tXMuEH6HTkiLV1q62zdje/LOneWbr7ZnhS/+abvaAAA8MNVS91+u9Smjd9YgsIl6BYu5Dod6RePSx9+aGvmS0EZTEyVlpaqe/fumjJlSqZeEkHTo4e1VB0/Lm3c6DsaRN2iRXZhVVgode/uO5rgcFVTc+ZItbV+YwEAINOOH0/On8zmoedfVlwstWtnIxAYu4F0W7XKHpR27y516OA7GgRARhJTbq6Uq5SKx+PsypeNYjHa+ZA5rhSdaqmzjRhhT4f37rWLAgAAssnbb1tyqqDAdqODyc210QdSchQCkC7uXpA2PvyXtCemysvLVV5erqKiIlVUVKiiokIzZsxQu3bt0v3SCCKXmHI9xUA67NolbdpkydAxY3xHEyxNmyaTda6VAQCAbOHOfRMmMPT8y9z1wdKlNhIBSIfa2mRVnrs3RNZLa2IqHo9rzJgxKikpUffu3c98lZSUMPw8Ww0aJOXk2K4fe/b4jgZR5Z70DR4stW/vN5Ygcq0Ly5ZJ+/f7jQUAgEypqJA2b7bqICqqz+XGH1RX20gEIB02b7bEZ+vWyV3bkfXSmpjKz8/XwYMHlUgkzvlClmrdWurb19a08yEdEolkYoqdds6va1epTx97YjV3ru9oAADIjDfesONtt9ncU5zLXTuxOx/Sxd0DDhrErtk4I6O78gGSmDOF9Nq40arxWrSQhg/3HU1wuaqpN95gCDoAIPpOnEg+uGLo+YWNGWMtjps22WgEINXcSBfmS6EOElPIPPchVF4unTrlNxZEj7voHDVKatbMayiBdscdNgS9slJ65x3f0QAAkF5vvCEdPSpde61VauD82re3UQgSQ9CRegcOSFu22HrIEL+xIFBITCHzunWzbUFPnpQ2bPAdDaLk5EnbbUeije9SmjWTJk609cyZ1gIJAEAUnT4tvfSSrR96iKHnl+KuoebP5/oAqeWGnt94I+20OAuJKWReLMbufEiPZcukqiqpY0e2gK6PP/oja3ncupXWWgBAdM2fL+3bZ9VADD2/tOHDpZYtbTTCxo2+o0GUuOtN2vjwJSSm4AdzppAOdYee8zT00tq0kb72NVtTNQUAiKKaGumFF2z9wANSkyZ+4wmDZs2kkSNtTTsfUqWmRlq1ytbuXhD4LySm4EdxsZSXJ+3cyWBFpMbBg8nyYNr46m/iRLtI37SJ1loAQPQsXizt3i1dcYX0la/4jiY8XGXZ22/bqATgcm3aJB07Zu/FXr18R4OAITEFP1q2lPr1szVVU0iFhQttd7nevaXrrvMdTXi0by/dc4+tZ870GwsAAKmUSEjPP2/riROl5s39xhMm/ftLV19tIxKWLfMdDaLA3fMNHizlkIbA2fgXAX9o50MquVJzZkc03IMP2gXC6tXShx/6jgYAgNR47z2posIeiH79676jCZdYLFmBPm+e31gQDW62MPOlcB4kpuCP+1Bau5YSYVyeigrbejYvT7rjDt/RhM8110hjx9razeEAACDMEolkJfDXvmZzFdEwLjG1apV04IDfWBBuX3xh1+uxmFVMAV9CYgr+dOliJcKnT0vr1vmOBmG2YIEdhw2zvnU03MMP28XCkiXS9u2+owEA4PKsWydt3iw1bSrdd5/vaMKpoEC66SYblbBwoe9oEGZuDmzv3tKVV/qNBYFEYgr+xGLJqilX2gk0VG1tMjHF0PPG69pVGjHC1m4eBwAAYeWqpSZMkNq29RtLmLlrK3bnw+Vwo1vYjQ8XQGIKfg0ZYsfly9mqHo1TXi7t328l+vSsX55HHrHjwoVSZaXfWAAAaKzNm+36IDdXeuAB39GE2+jRNirhk0+sFQtoqOpqm2MqkZjCBZGYgl9FRXay27NH2rHDdzQIIzeQc8wY+7eExrvxRuv7r62VXnrJdzQAADSOq/wdN87GRqDx2rSxUQkSVVNonI0bpePHpfx8u9YEzoPEFPxq3lwaONDW7M6HhqqqsplIErvxpcqjj9rxzTetEg0AgDD59FNp6VIbGfHww76jiQZ3jbVggVRT4zcWhE/dNr5YzG8sCCwSU/DPtV+RmEJDvfOO7eh43XVSz56+o4mG/v2lfv2s7Prll31HAwBAw7hqqZEj7foAl2/oUNtc5sABa5EEGsLNEmbkBi6CxBT8c73G69dbmSdQX66k/K67eAKTSm7W1KuvSocP+40FAID62r1beustW1MtlTp5eTYyQUqOUADqY88e2+05FpOKi31HgwAjMQX/OneWrr3WKjR4CoP6+vxzae1aW48b5zeWqBkyRLrhBunECemVV3xHAwBA/bz4om2mM3So1KOH72iixe3O9+67NkoBqA/XEdO3r80rAy6AxBT8i8Vo50PDlZXZ8eabpY4d/cYSNbFYsmrqlVe4AAUABN++fdLcubZ25zCkTs+eUpcuNkJh8WLf0SAsVq60I7vx4RJITCEY3IfVihX2pAu4mEQiWUrunuAhtW6/3WZzHDliLX0AAATZyy9b9b2blYjUisWS11zszof6OHVKWrPG1syXwiWQmEIwDBggNW0q7d0rbdvmOxoE3UcfSTt2SM2aWQIFqZeTk5zP8fLLdnEBAEAQHTqUfIjidpdF6o0bZwmqdetspAJwMRs2WIVd+/ZSYaHvaBBwJKYQDM2aWUuWRDsfLs1VS40YIbVs6TeWKBs71tokDx6U5szxHQ0AAOf3yit2A9yjhzRokO9ooqtjR2ngQFsvWOA1FISA241v6FA2KcIlkZhCcDBnCvVRXS0tXGhr2vjSKy9PevBBW7/0kv23BwAgSKqqkht1PPooN8Dp5q695s1j/AYuzt3T0caHeiAxheBwc6Y2bpSOHfMbC4Jr+XKbe9S+vVRU5Dua6LvnHik/37b7dVtwAwAQFH/4g3T0qA3mHjHCdzTRd/vt1umwc6f04Ye+o0FQ7dpl/0Zyc6XiYt/RIARITCE4OnWyYcs1NclBecCXuZaysWPtZIf0atZMuv9+Wz//PE9HAQDBcfKkzUGUbCc+qqXSr2XL5HxP2vxxIa5aql8/xm6gXkhMIVhcqafrSQbq2r8/+W/jnnv8xpJNvvY1qVUr6bPPpHff9R0NAABmzhwpHpeuvloaPdp3NNlj/Hg7LlwonTjhNxYEk0tMuY4Y4BJITCFY3IfXypVUZuBc8+ZJtbVSnz5Wso/MaNlS+sY3bD1zJu9NAIB/1dXSiy/a+qGHbC4iMmPgQOt0qKqSFi/2HQ2C5uRJae1aWzNfCvVEYgrB0r+/1Ly5VcZs3eo7GgRJIpEsGZ8wwW8s2eiP/9ja+j7+WFq92nc0AIBsV1Ym7d0rtW0r3X2372iySyyWrFx/802/sSB41q2TTp+2XRy7dvUdDUKCxBSCpUmT5EBrdudDXRs32hDFFi2kUaN8R5N9rrxS+upXbT1zpt9YAADZrbZWeuEFW99/vz04QWbdfbclqDZssOszwHFjN4YOZe4b6o3EFIKHOVM4nzfesOPo0ZacQubdf7+1SmzYYIlCAAB8WLJE2rFDat06+dAEmdWhQ3IEB1VTcBKJ5D0cbXxoABJTCB53ktu0STpyxG8sCIZjx5IzDBh67k+HDsl2ieef9xsLACA7JRLJc9A3vsGOXz65a7K5c23mF7Bjh7Rnjz3IvPlm39EgREhMIXg6dpS6dbMLj5UrfUeDIFi40AYpdu0q9e7tO5rs9uCDVpa9YoW0ZYvvaAAA2WblSjv/NG9u8w/hz7BhUn6+dPAgIzhgXLXUgAF0OKBBSEwhmG691Y5sTQ8pWSI+YQK96r517pzcktvN9wAAIFNctdRXvypdcYXfWLJdXl6ykpp2PkjWZitJt93mNw6EDokpBNPw4XZcsUI6dcpvLPBr61bpo4/s4ufOO31HA0l6+GE7Ll5sJdsAAGSCm3GYl2dzD+Hf+PF2XL7cdtVG9jp40EaxSCSm0GAkphBMPXtKV10lHT8urVnjOxr45J7A3Xab7QwH/woLraoxkZBefNF3NACAbOGqpcaPl9q39xsLTJcuUt++tlPi3Lm+o4FPS5fatWHPnjaaBWgAElMIplgsWTXlSkKRfU6dkhYssDVDz4Pl0UftOH++9PnnfmMBAETfxx/bfKmcHOmhh3xHg7rcNdqcOZaYQHZy92wjRviNA6FEYgrB5T7Uli2zpzDIPu++azszduwoDRrkOxrU1bu3VFQk1dRIs2b5jgYAEHWuWmrMGKlTJ7+x4GyjRtnuiLt2Wbslsk9VlVRebmtXXAA0AIkpBFf//lKbNtKhQ9L77/uOBj688YYd777bnpAiWFzV1Btv2FwBAADSYfv2ZDWGm3OI4GjRIrkxCkPQs9Py5VJ1tXTddbaLNtBA3OkhuHJzk7vz0c6XfSor7clLLJYcrIlgGTjQKqdOnZJKS31HAwCIqhdftBax4cOl66/3HQ3Ox7XzLVokHT3qNRR4QBsfLhOJKQSb+3BbsoSe9WzjBmgWFUnXXOM3FpxfLJasmvr9763tEgCAVNqzJzlv8pFH/MaCC+vVy5KGp05JCxf6jgaZdOqU7aQukZhCo5GYQrANGiQ1a2bDlT/5xHc0yJTaWhugKUkTJviNBRc3bJjt0ldVZckpAABS6aWX7Lpg0CBLfiCYYrHkNRvtfNmlvNx2Um/f3nbkAxqBxBSCrVkzacgQW7/7rt9YkDmrVklffGEzxhigGGyxWHLeR2mpdOKE33gAANFx4EAyyUG1VPCNGyfl5dkOijxQzh6ujW/4cLsuBBqBxBSCzyUmSExlD3cROm6c1KSJ31hwaaNGSddeKx0+LL3+uu9oAABRMXu2dPq01KePNGCA72hwKVdembxup2oqO9TW2g7qEm18uCwkphB8w4bZIPSKCmn3bt/RIN3i8eQJjja+cMjNlR56yNYvvWQ3EQAAXI4jR6Q//MHWjzxCJUZYuCHoZWU2ewjR9v77du3epg3JY1wWElMIvjZtbPcvid35ssH8+bbdbK9eNrsI4XDXXVKHDtL+/dK8eb6jAQCE3e9+Z3NrCgulW27xHQ3qq7hY6tjREotct0ef62gZNszaOIFGIjGFcKi7Ox+iK5FIln67J24IhyZNpAcesPWLL0o1NX7jAQCE1/HjNrdQst1fqZYKj5wcafx4W9POF22JxNnzpYDLQGIK4XDbbXb84AMbhIlo+uADaft2G3o/erTvaNBQ994rXXGFtdwuWuQ7GgBAWL3+ulXcdO4sjRzpOxo01PjxlkwsL5cqK31Hg3TZulXas0dq2lQaPNh3NAg5ElMIhw4drLUrkZCWLvUdDdLFPVkbOVJq1cpvLGi45s2liRNt/fzz9n4FAKAhTp2SZs2y9cMPWwUOwuXqq62lT5LmzPEbC9LHVUsNHmzXgMBl4JMe4eHa+didL5qqqqS33rI1Q8/D64/+SGrZUvr0U+m993xHAwAIm3nzbF7hVVdJd97pOxo0lruWmzvXdm5D9Lh7MnbjQwqQmEJ4uA+98nLp2DG/sSD1Fi2STpyQCgqkfv18R4PGat1a+vrXbf3cc1RNAQDqr6bG5hRK0oMPMkw5zG67zdr7v/hCWrXKdzRItcpK2zE9J0e69Vbf0SACMpKYmjZtmmbMmKEZM2Zo2rRpmXhJRNF110ldu9qObcuX+44GqVZ36DlDTsNt4kSbN/Dhh9K6db6jAQCExdtv2w3vlVdSPR12TZpI48bZmiHo0ePa+AYMsB3UgcuU9sSUS0RNmjRJkyZNUlFRkSZPnpzul0VUuR0faOeLlu3bpU2b7KnLXXf5jgaXq23b5A3Fc8/5jQUAEA6JhDRzpq3vu882QkG4uR2Wly6V4nGvoSDFXGKKNj6kSNoTU1OnTtWkSZPO/Hrs2LGaMWNGul8WUeUSUytW2HBMRMMbb9jxllukdu38xoLUePBBKTdXWrvWdlsEAOBili61B1UtW0pf+5rvaJAKhYW2eVFNjTR/vu9okCoHD9oDZSm5czpwmdLauF1RUaF4PK78/Pxz/qysrExjx449799LJGzUDHCOrj2ldtdav/qycktkINyqq6U5b0s1TaSx90q896Phio7SHeNtiO1vZ0lPP+07IgBAUCUSdq6oaSLdO1HKa831QFSM+4q0aav02gLpK/cxriEK3n5Pqs6TbrzRrvd4r+ICGjJqNu2JqfPJz89X/CLlnPv2SePHpykohFxM2vlTad8X0p+2l7r4jgeXLX5U2vb/2SyCp/tIXK9Ex8n/Lm0eLW2UtPi41KKF74gAAEF05Ki09TtSLEd64SbpZd8BIWVq75Le7yxtrJVGVkmtWvmOCJeroqd0+KfSvk4S9+y4iH376v+9Xnbla9eunQ4cOODjpREF+Vfa8fAhSez4FXoH9tuxbTueokVNs+aSq5jd+7nXUAAAAfb5Hju2by/lNfEbC1IrJ1dqm2/r/fu9hoIUqK2Rjhyx9ZX5XkNBtHjZg/VSSakOHaQ5czIUDMKnpqV0/9/Zh+K0n0n9+vmOCI21d6/0ze9Znef/+39Sge+AkHKf1EjfK7Gk4//9f1Lnzr4jAgAEyQcfSD/6kZSXJ/3mN1JH3wEh5TYelp4okZo3l156yeaIIZwWLZH+4R9st/T/+A/f0SDguneXdu+u3/emNTFVWFh43t+Px+MX/DPJ7l+aN09XVAi/XGnEYJtds/IdaTCJqdBaNFfKOWVbzd5AViqS+t4g3VpkGxb8/iXpiSd8RwQACJLSmVLuaWn8OKkLWalIGtRX6nq1tHOntHxRcrc+hM+KxfZ+HXWLxP06LqEhzTBpbeUrLCxUfn7+eWdNXWjwOVAvbmvSJUsaNlUNwZFIJEsjuUCJtkcftePcuQ1rNgcARNvWrdJ779ndy0MP+Y4G6RKLSRMm2PrNN/3GgsY7dcoeNErJezEgRdI+Y+qpp55SWVnZmV+XlpZq0qRJ6X5ZRN2gQVKzZtLnn0uffOI7GjRGebm0Z4+Vc48c6TsapFPfvlL//rYD46xZvqMBAATF88/bcdQoqYDK6Ui7804pJ0fatEnavt13NGiM8nLp+HGbBdezp+9oEDFpT0xNmTJF8XhcpaWlKi0t1apVqzR9+vR0vyyirlkzacgQW7/7rt9Y0DhvvGHHsWPt/09Em6uaeu016SK7sgIAssTOndKiRbZ+5BGvoSAD2rWTbr3V1u4aEOHi7rmGD2fDIqRcRnblmzJliiZOnKiJEyfqpz/9aSZeEtlg+HA7kpgKn0OHrA1Tku69128syIxBg6Qbb5ROnpReecV3NAAA31580dr6hw2zCbmIPtfON2+edPq031jQMLW10tKltqaND2mQkcQUkBbDhkm5uVJFRf3H/SMY5s+3tq4ePewL0ReLJaumXnlFqqryGw8AwJ+9e+1aQKJaKpsMGSJddZV0+HDyASXC4f33reK9TRvbtAhIMRJTCK82baSBA23NyS08Egnp9ddt/ZWv+I0FmTV8uNSli3TsmPT73/uOBgDgy6xZ9oBq4ECpTx/f0SBTcnKSG964a0GEg+tQGTZMysvzGwsiicQUwq3u7nwIh40bpc8+s7lSY8b4jgaZFIsln4zPnm1tfQCA7BKPJ2cMUS2Vfe65x64H1q6Vdu3yHQ3qI5FI3mu5USpAipGYQrjddpsdP/iAgcph4S5GR4+2HfmQXUaPlq65xt6vbBkNANmntNQeTPTqJRUX+44GmdaxY3IDI4agh8Onn9pO2k2bSoMH+44GEUViCuHWoYMNVE4kpBUrfEeDSzlyJLkDD2182SkvT3rwQVu/9JK1cgAAssPRo9LvfmfrRx5hZ69s5Yagz5nDdUAYvPeeHYuLpebN/caCyCIxhfAbNsyO7kMTwbVggXTqlFRYaE9KkZ3Gj5fat7fht1RNAUD2mD3bNr+4/vpk1Tuyz7BhUrt2Vj29bJnvaHAp7h7L3XMBaUBiCuHnPiRXreKpS5AlEsmS7QkTeEqazZo2lR5+2NYzZ7JlNABkgyNHrI1Pkv7kT7gOyGZ5efaQSmIIetAdOmQjUyTpllv8xoJIIzGF8LvxRnvqUlUlbdjgOxpcyIcfShUVlpQYN853NPDt3nutauqLL6iaAoBsMGuWXat1757cvAbZy+3Ot3q1zS9CMK1YYQ+Xb7hBuuoq39EgwkhMIfxisWQGn3Lg4HJPxEaNktq08RoKAqBpU+nRR209c6a1eAIAounQIek//9PWVEtBkq69VioqsqQHD6iCizY+ZAiJKUSD+7BctsxOcAiWqipp4UJbu4GXwIQJ9vRt3z5K+QEgyl56STpxQurRQ7r1Vt/RICjcRjhvvinV1PiNBeeqrpZWrrQ1iSmkGYkpRENxsfWrV1ZKO3b4jgZftnChbQ3dpYvUr5/vaBAUTZokq6ZeeMH+jQAAouXgweROfN/5DtVSSLrtNunKK6X9+9ldO4g2brSHy/n5bFqEtCMxhWho0UK6+WZbsztf8LhqmHvv5YIUZ7vnHqljR7sopWoKAKLnxRftwUOvXtLQob6jQZA0aSLddZetuQYIHndPdcstXL8j7UhMITpciSmJqWDZskX6+GOraLvzTt/RIGjy8qRvftPWVE0BQLTs3y/94Q+2ploK5+NGPCxfbhuiIDiYL4UMIjGF6HAD0DdutC2JEQzuCdiIEVauDXzZ3XdLV18tHTggvfqq72gAAKny4ou2uUWfPtKgQb6jQRB16SL1728zYufM8R0NnJ077Ssvj/cuMoLEFKKjUyfp+uul2lpp1Srf0UCyQadlZba+916/sSC48vKkxx6z9Qsv2L8bAEC47d+ffNjATny4GHeN+MYbdh0P/1y11IABUsuWfmNBViAxhWhxO73QzhcMb79tQxOvvTY5Aww4nzvvtORyPJ5s+wAAhNcLL0inT0t9+0pFRb6jQZDdfrvUurW0d6+0erXvaCAl76XYRRMZQmIK0eJ6oFesYNvZIHBtfBMm8KQUF1d31tRLL0nHj/uNBwDQePv2Sa+9ZmuqpXApzZol55AyBN2/o0elDRts7UalAGlGYgrRctNNUps2NmNq0ybf0WS3Tz+VPvhAys21GULApdx5p1XXxePS73/vOxoAQGO5aqn+/amYRv24IejLltnMSfizerU94O/a1a7LgAwgMYVoyclJZvZp5/PLPfG69VapXTu/sSAccnOlb33L1i+9ZG2gAIBw+eKLZLXUt79NtRTqp7DQHjDX1Ehz5/qOJruxGx88IDGF6HEfoiSm/Dl5UlqwwNYMPUdDjBkjFRRIhw9Lv/ud72gAAA31/PNSdbVVSw0c6DsahEndIeiJhN9YslVtrbR8ua1JTCGDSEwhegYPtsqp7dulykrf0WSnd96xdsqOHdliFg2Tm5vcoW/WLKqmACBM9u61pILEbCk03B132A5wu3dL69b5jiY7bd5sDwdbt5b69PEdDbIIiSlET+vW9pROomrKl7pDz3P4mEEDjRkjXXedJTf/8z99RwMAqK8XXrBqqYEDqZZCwzVvLo0da2vXDorMWrbMjkOH2sNCIEO4Y0Q00c7nz44dtpNHLCaNH+87GoRRTk5y1tTLL0vHjvmNBwBwaV+ulgIaw7XzLVkiHTrkN5ZsxHwpeEJiCtHkPkzXraMVKNPcRektt0hXXeU3FoTXHXfYbjBHj1I1BQBhMHOmVUvdfHOych1oqB497Ku6Wpo/33c02WXPHttVOxaThgzxHQ2yDIkpRFNBgdS5s53U1qzxHU32OH06uZMKQ89xOb5cNXX0qN94AAAX9vnn0pw5tv72t72Ggghw15CvvcYQ9ExyQ8/79ZPatPEbC7IOiSlEUyxGO58Py5db2XX79tabDlyOUaOk66+3Vr7Zs31HAwC4EFctVVREtRQu39ixUrNmNh5i82bf0WQP2vjgEYkpRJf7UF2+nKctmfLWW3YcM4aBibh8sVjyyXtpqQ1DBwAEy549yWopZkshFVq2lIYPt/XChX5jyRbHj0vl5bYmMQUPSEwhuvr3txPbwYPSRx/5jib6qqqSO3mMGeM3FkTH7bdLhYX274uqKQAInpkzpZoaadAgqW9f39EgKkaPtuOiRVJtrddQskJ5uVU9duokdeniOxpkIRJTiK68vOTgPtr50m/pUunUKZvv1aOH72gQFXWrpv7zP6XDh72GAwCoo7IyOVuS2VJIpSFDbM7RgQO2mRHSq24bXyzmNxZkJRJTiDbmTGWOK7UePZoTGlJr+HDphhusaurll31HAwBw6lZL9enjOxpESV6eVU1LtPOlWyKRHHxOGx88ITGFaBsyxJIkW7ZI+/b5jia6Dh+WVq+2NW18SLW6VVOvvGID9gEAftWtlmK2FNLBXVO+847t/Iz02LJF2r9fatFCGjDAdzTIUiSmEG35+dJNN9naPQlA6i1ebE9Mb7iBvnSkx623Wovo8ePSrFm+owEAPPeczf4ZMiR5rQWk0oABttPz0aPSqlW+o4ku11kyaJDUpInfWJC1SEwh+mjnSz9XYk21FNKlbtXU734nxeM+owGA7LZrlzRvnq2ZLYV0ycmRRo2yNe186VN3vhTgCYkpRJ/7kF2zRjp50m8sUbRvn7Rhg63dDipAOgwbJvXsKZ04Ib30ku9oACB7uWqpoUOl3r19R4Mocw89ly618z9Sa//+5O7lt9ziNxZkNRJTiL5u3aSOHS0pxa4eqff22zY0sW9f++8MpEsslpxj8vvfSwcPeg0HALLSrl3SggW2ploK6darl9Spk13HL13qO5rocaNOevWS2rb1GwuyGokpRF8sRjtfOtHGh0waMsSezp88Kb34ou9oACD7PPusVUvdcovdzALpFIslK/LfestvLFFEGx8CgsQUskPdxFQi4TeWKNm508p/684AANKpbtXUH/5gJegAgMzYuZNqKWSee/i5cqV05IjfWKLk1KnkrtokpuAZiSlkh4EDpWbNpL17pYoK39FEh3tyVVRkOyACmTBokNSnj11QUTUFAJnz7LP2gM/N/AMyoVs3+6qulpYs8R1NdKxbZxXo7dvbztqARySmkB2aNZOKi21NO19qJBLJxBRtfMikujv0vfoqVVMAkAk7dkhlZbamWgqZ5q412Z0vdeq28cVifmNB1iMxhezBnKnUqqiQtm+XmjSRRozwHQ2yTXGxDdw/fVp64QXf0QBA9LlqqVtvlW680Xc0yDZuztTatdKBA35jiYJEInlPdOutfmMBRGIK2cRtgbp5sxSPew0lEtwTq1tukVq18hsLsk8sJn3nO7Z+9VXpiy/8xgMAUfbZZ8nzPtVS8KFTJ9v8JJGQFi3yHU34bdsmff651LSpjeQAPCMxhezRoYPUo4ed0Fas8B1NuNVt43NPsIBMGzhQ6t/fZk48/7zvaAAguly11G232bUU4APtfKnjqqWKimzkCeAZiSlkF9r5UuODD+wpS4sW7OIBf+ru0PfGG7a5AQAgtbZvTz6MoloKPo0aZef+Dz6QKit9RxNudedLAQFAYgrZxX34rlplVRZoHPekavhwnrLAr4ED7au6mllTAJAOrlpqxAh27oJf7dvbOV9KJkvRcIcOSZs22dqNOgE8IzGF7NKzp9S2rVRVJW3Y4DuacKqpkd5+29bsxocgcE/wqZoCgNTati15zv/Wt7yGAkhKXnuSmGq8lSst2dy9u9Sxo+9oAEkkppBtYrHkkwHa+Rpn7VobHn/FFbYzGuDbgAHSzTdTNQUAqfbb3yarpbp39x0NIN1+u5SXZ7tDb9vmO5pwWrbMjrTxIUBITCH7uA/hZcvsYgsN455QjRxpFwZAELgn+VRNAUBqfPqptHixrZkthaBo00YaMsTWDEFvuOpqq5iSSEwhUEhMIfsUF1tCZfduaccO39GEy+nT0jvv2Jo2PgRJ3aopdugDgMvnZkuNHCkVFvqOBkhyO0IvXMhD5obauNFGmuTnS716+Y4GOCPt5Q7Tpk2TJG3dulWSNH369HS/JHBxLVva4MTVq62dr0sX3xGFx4oV0rFjUocOUv/+vqMBzvbtb1ur6ZtvSg8/LF19te+IACCcKiqkRYtszWwpBM1tt9nmO5WV0kcfkWBpCDfKZOhQKYcaFQRHWv81lpSUaMqUKZoyZcqZhNS4cePS+ZJA/bjSVeZMNYwrmb7jDpvXBQRJ//5UTQFAKvz2t3YcNUrq1s1rKMA5mje35JREO19DuXsf2vgQMGlLTMXjcZWXlysej5/5vcmTJ6usrEwVFRXpelmgftyH8caN0tGjfmMJi+PHkycz2vgQVG4Oypw50uefew0FAEKposLa9mMxqqUQXO5a9O23pdpav7GExa5d0s6dUm6uNHiw72iAs6S1Ymr16tVnJaEK/6s/vW6yCvCiUyfpuuvsRLZ2re9owmHpUunkSalzZ+nGG31HA5xf//5SUZFVTc2c6TsaAAif3/zGjqNGSddf7zEQ4CIGD5Zat5b275fWr/cdTTisXm3Hfv1stAkQIGlLTOXn5+vgwYMqKio683tlZWWSkgkqwKtBg+y4Zo3fOMLClUqPHk0bH4LNPeGnagoAGuaTT6QlS6iWQvA1aSLdfrut3Y7RuDiXmHL3QECAZHTi2dSpUzV9+nTl5+dn8mWB83MfyqtW+Y0jDA4fTv53oo0PQeeqpmpqqJoCgIZws6VGj5a6dvUbC3Ap7pp08WKrlMaF1dRI5eW2JjGFAKr3rnylpaWaNWvWJb/vqaeeOqtKyikpKdEDDzygSZMmNSxCIF0GDrQe6927bVePTp18RxRc77xjJ7TCQi5UEQ7f/rZdgM2ZIz3yiHTNNb4jAoBg27JFevddq5b65jd9RwNc2sCBUrt20oED9gCVgd4X9uGHUlWV1KaN1KOH72iAc9Q7MTVx4kRNnDixUS9SWlqq7t27k5RCsLRsKd10kw1AX71a+spXfEcUXK6Nj2ophEW/flJxsbXqPv+89MQTviMCgGCjWgphk5Njs9BeecWuVUlMXZjrfCgutv9uQMCk/V+lmyvlklLxeJxd+RAcrpTV9VzjXPv2JYdKjh7tNxagIeru0FdZ6TUUAAi0LVtskxNmSyFs3ENTt0kPzo/5Ugi4tCamysvLVV5erqKiIlVUVKiiokIzZsxQu3bt0vmyQP25D+fycraavZC335YSCalPH9qhEC59+9p7vKbGqqYAAOfnduIbO9Z2LQbCondvG8dx4oS0bJnvaILp2DFp82Zbk5hCQKUtMRWPxzVmzBiVlJSoe/fuZ75KSkoYfo7g6NnTtpo9elT66CPf0QST2+mEaimEkauamjuXqikAOJ+PPrIb+lhMeuwx39EADROLJa9R3egJnG3tWnsAX1AgXX2172iA80pbYio/P18HDx5UIpE45wsIjNxc6eabbc3ufOfatcuGJcZi0h13+I4GaLg+fZJVU+zQBwDncrOlxo2zG1cgbFxiasUKe9iMs9HGhxBg8hkweLAd16zxG0cQvf22HYuKpLZt/cYCNJarmpo3j6opAKjrww+l996zYcjsxIewKiyUrr9eqq6WlizxHU3wuMSUu+cBAojEFOCeHmzaZNuoIond+BAFVE0BwPm52VJUSyHs3LUq7Xxnq6y0DoicHGngQN/RABdEYgro1Em69lq7aV23znc0wVFRIW3bJuXlSSNG+I4GuDzMmgKAs23ebK1PVEshClw7X3m5dOCA31iCxHWE9OkjtWzpNxbgIkhMAVKyaop2viQ39HzoUBsQD4RZnz5Wwl5bK82YYTtNAkC2qq62z0JJuvNOqXNnv/EAl+vaa6Vevez8vnix72iCg/lSCAkSU4CU/LBmALpJJJKJKdr4EBXf+Y4N8l+0SPrpT61KEgCyzcmT0v/8n1Yl3qQJ1VKIDtr5zlZbaxVkEokpBB6JKUCynfliMWnHDmnvXt/R+Pfhh9bu1Ly5dOutvqMBUqNXL+l//A9rW5k3T/q7v7OqAQDIFsePS089JS1fLjVrJv3931ulCRAFd9xh1/ObNkmff+47Gv8+/lg6ckRq1Urq2dN3NMBFkZgCJGtVu+kmW7uS12y2dKkdb7nFLlyBqBgzRnr6aZudtmiRVQ2cPOk7KgBIv6NHpZ/8RFq71mbNTJvGLl2IlvbtpX79bL1smd9YgsB1ghQVSbm5fmMBLoHEFOAUF9uRxFTyZE61FKJo+HDpH/7Bkq7Ll1v1wPHjvqMCgPSJx6Uf/9gqSdq0kX72M6l/f99RAak3bJgdSUwxXwqhQmIKcNxTwzVrsnsw8p490qefWin00KG+owHSY/BgqxZo0cKqB37yE6smAICo2b9f+tGPpC1bpPx86V//1VqbgShyD1XXrZOqqryG4lVVlSWiJSojEQokpgCnVy8rbT982C7estV779mxXz/piiv8xgKkU//+0s9/btUDmzZZNUE87jsqAEidzz+XfvADaft2qUMH6Ze/lAoLfUcFpM9119kuk9XV2d0FsX69bfLSqZN9AQFHYgpw8vJsCLqU3bvzudJnVwoNRFmvXlY9kJ9vCekf/ciqCwAg7HbulL7/fWn3brsx/eUv7aYdiLJYLFk15R62ZiOXlKNaCiGR5zsAIFAGDbLB32vWSI884juazKuqstJniflSyB6FhXbD9uMfW1XB979vlVTXXJO610gkbI5VNrcJAzi/WMzaimOx1P3MigrpySelgwelLl1splSHDqn7+UCQDRsmzZ5tcyRra2033mzDfCmEDIkpoC734b1xo3TihNS8ud94Mm31ait97tyZp6rILtddZ8mpJ56QKiut9eXnP5cKCi79d48ft7+za1fya+9eaws+csSOR4+SlAJwYTk51lbcpo210bdpY8nxzp3t69prreqpPjvlfvSRzc07ckS64Qbpn/7JqkKBbNGvn9SqlbXnb94s9enjO6LM2rtX+uwzS3a7bhAg4EhMAXV17ixdfbXNZFi/PvuGf9fdjS+VT26BMHCtLk88YRd0P/iB9M//LHXrZjd4u3efnXxyvz540HfkAMKutlY6dMi+LqZDB0tSuYSVS1pde63UurU9WPvLv7QK6Jtukv7xHy3JBWSTvDy7hn/rLWvny7bE1Jo1duzd2z4XgBAgMQXUFYtZL/brr1v1UDYlpmprreRZYr4UsleHDtIvfmHVBp98Iv33/24XuJfasa9Nm7NvFK+5RrryymT1Q+vW9pWN7QQALq6mRjp27Owqy3jcdsmtmwg/dkzat8++Nmw49+dccYVVcJ4+LQ0cKP3939umLkA2GjbMElPLlknf/a7vaDLLzcqljQ8hQmIK+LLi4mRiKpts3mxPalu1shJoIFvl51sbX0mJvS+c9u3PrlCoW6lARQKAxmrSxEYHtG9/4e9JJCxh5So161Zw7t5tlZuHD9v3Dh0qPf10/dr+gKgaOtQeBn36qSV5Uzk3MsgSiWTFFIkphAiJKeDLioqscmrbNnsqmS3DQt3OJUOGWIUIkM3atLG2vg8+sPW113KTB8CfWMyqMK+80tpzvqyqymbdnThhf051JrJdmzZS375WXbhsmfSNb/iOKDO2bLEkdcuW5/+sAAKKsxbwZVdcIfXsaWv3xCEb1J0vBcAStP3724wpklIAgqxlS6l7d5ulQ1IKMO6a1j18zQau42PgQB40I1Q4cwHnU1xsR9ejHXV79lipc05Ods3VAgAAQDS5xNS6dVZVmA1cYoo2PoQMiSngfAYPtuOaNdmxxburlurbl1k5AAAACL/rrpMKCqTq6uyYHXvypO3MKSXvZYCQIDEFnE+fPjaINB6XKip8R5N+rsSZ3fgAAAAQFe7a1j2EjbL16y0J17GjbdAChAiJKeB88vKsN1uKfjtfVZWVOEvMlwIAAEB0uMTU8uVSba3fWNLNVYUNHmwbJgAhQmIKuBDXmx31AeirV9vTlc6dreQZAAAAiIJ+/aRWraRDh6TNm31Hk17Ml0KIkZgCLsR9qK9fbz3bUVV3Nz6ergAAACAq8vKSG/tEeXe+/fttI6NYTCoq8h0N0GAkpoAL6dJF6tBBOn06OUgwamprrbRZYr4UAAAAoseNqojynCnX4XHjjdIVV/iNBWgEElPAhcRiyR0torqTx+bNVtrcqpWVOgMAAABRMmSIlJNjFUV79viOJj3cTFza+BBSJKaAiykutmNUE1PuydHQoVbqDAAAAERJmzbJB7BRrJpKJJIVUySmEFIkpoCLcYmprVulgwf9xpIOrteeNj4AAABElbvWjeKcqYoKu09p3lzq08d3NECjkJgCLiY/X+rRw9ZR251vzx4rac7JSQ6FBAAAAKLGzZlat06qqvIaSsq5zo4BA6QmTfzGAjQSiSngUlxJrOvdjgpXyty3r5U4AwAAAFF03XVSQYFUXR29a3qXmHKzcYEQIjEFXIpLTK1ZYz3cUeFKmd0TJAAAACCqotjOd/KktGGDrZkvhRAjMQVcSt++UrNm0v790rZtvqNJjaoqK2WWSEwBAAAg+tw17/LlUm2t31hSZeNG6dQpqUMHqUsX39EAjUZiCriUpk2l/v1tHZXd+VatslLmggIrbQYAAACirG9fqXVr6dAhafNm39GkRt3d+GIxv7EAl4HEFFAfrmc7KokpduMDAABANsnLS27442athp2bl0UbH0KOxBRQH8XFdly/Xjp92m8sl6u21kqYJRJTAAAAyB7u2jcKiamDB6WtW23t7lWAkCIxBdRHt25Su3Y2YPD9931Hc3k2b7YS5latpH79fEcDAAAAZMaQIVJOjs2Nraz0Hc3lcW18PXpI+fleQwEuF4kpoD5isWSJbNjb+dwToqFDraQZAAAAyAZt2iQfzIZ9dz53T0K1FCKAxBRQX+5D3/Vyh5VLTLEbHwAAALKNuwYOc2IqkUgmppgvhQggMQXUl0tMffKJtcKFUWWllS7n5FgpMwAAAJBNXGJq3TqpqsprKI22fbu0f7/tHs5oDkQAiSmgvtq3lwoL7QlFebnvaBrHPRnq189KmQEAAIBsUlBgX9XV4e2EcNVS/ftbcgoIORJTQEO4UtmwnsRcYord+AAAAJCtwr47n0tMDR7sNw4gRUhMAQ3hElNr1ljlVJhUVVnJssR8KQAAAGQvdy28YoVUW+s3loY6fTp5Tc98KUQEiSmgIfr3l5o0kfbulXbs8B1Nw6xaZSXLBQXSddf5jgYAAADwo29fqXVrmxv7wQe+o2mY99+XTp6U2raVunXzHQ2QEiSmgIZo1iw5YNCV0IaFK1WmjQ8AAADZLC9PGjrU1mFr51uzxo6DBkmxmN9YgBQhMQU0lOvlDlNiqrbWSpUl2vgAAAAA97DWzWANCzfrljY+RAiJKaChiovtuG6dtcaFwQcfWKly69ZWugwAAABksyFDpJwcads2qbLSdzT1c+iQtGWLrd09CRABJKaAhrrhBik/Xzp+PDw96e5J0NChVroMAAAAZLM2bWx+rBSeqqnyctuAqbBQat/edzRAypCYAhoqFks+oQhLOx/zpQAAAICzuWvjsMyZcvceVEshYkhMAY3herpdj3eQVVZaiXJOjpUsAwAAAEjOXl2/Xqqq8hvLpSQSycSUm3kLRERGE1Pjxo3L5MsB6eMSUx99JB054jeWS3Glyf36WckyAAAAAKmgwL6qq6WVK31Hc3E7d0p799pYDteCCERExhJTpaWlKisry9TLAenVoYPUtas9uSgv9x3NxbnSZHbjAwAAAM7mrpGDPmfKdWr07y81a+Y3FiDFMpKYisfjOnDgQCZeCsgc1xY3Z47fOC6mqspKkyUSUwAAAMCXuWvk5cul2lq/sVxIIiHNnWtr2vgQQRlJTL388su6//77M/FSQOZ89as2CH3FCmvpC6JVq6w02ZUpAwAAAEjq29fGXRw+HNwdt5cvl7ZskZo3l8aP9x0NkHJpT0yVlZVp7Nix6X4ZIPMKCiQ3N+3ZZ/3GciG08QEAAAAXlpub7IQI4u58iUTyXuPrX5euvNJrOEA6pD0xFY/HVVhYmO6XAfx49FGrmlq2zJ5iBEltrVVzScmtcAEAAACczV0rBzExtXKl9OGHNlfqgQd8RwOkRV59v7G0tFSzZs265Pc99dRTKioqkiTNmDFDkyZNanx0QNBdd500erS0cKH03HPS3/yN74iSPvhAOnRIat3aSpQBAAAAnGvIECknR9q+XaqslDp18h2RSSSk3/7W1l/9qpSf7zUcIF3qnZiaOHGiJk6cWO8fXF5erkGDBjUqKCBUvvlN6a23pCVLpIoKKSgVgu6Jz9Chtq0sAAAAgHO1aWO73a1bZ9fQf/zHviMya9ZImzdLTZtKDz7oOxogbdJ2t3rgwAGVl5errKxMkrR161ZJ0rRp01RYWNigJBcQaF27SiNHSosWWdXUX/+174iMS0zRxgcAAABc3K23WmLqvfeCkZiqWy31la9I7dr5jQdIo7QlpsaOHXvW0PPy8nLNmDFDU6ZMSddLAv489pglphYvlrZtk66/3m88lZVWipyTkxzmCAAAAOD8hg2TfvUraf16qapKatnSbzzr1knvvy81aSI99JDfWIA0S/vwc8nmU02dOlWSVFJScqaKCoiMbt2k22+3JxvPPec7GnvSI1lJcps2fmMBAAAAgq6gwObHVlfbwHHffvMbO957r9S+vddQgHTLyOCZhs6nAkLpscekd96R3n7b1l27+okjkZDmz7c1bXwAAABA/QwbJu3YIc2bJ40a5S+O9eulDRtsTizVUsgCGamYArJC9+7S8OGWGJo5018cr74qffSR1KKFNGaMvzgAAACAMLnnHik3V1q+3DY28sXNlpowQbrqKn9xABlCYgpIpcces+PChdLOnZl//S++kGbMsPXjj1P2CwAAANRX167J3e9+8Qvp2LHMx7Bxo7R2rVVLPfxw5l8f8IDEFJBKPXrYjh4+Zk0lEnYCraqSbrpJ+trXMvv6AAAAQNg99pjNm9q/P/nAN5OefdaOd98tdeyY+dcHPCAxBaTaN79px7IyadeuzL3ukiXS0qX2dOXJJ21HPgAAAAD117Sp9MQTtn71VatgypRNm6TVq62d8JFHMve6gGfcuQKp1quXNHSoVFsrPf98Zl7z6FGrlpJsQGK3bpl5XQAAACBqBg60eVOS9M//LJ0+nZnXddVSd94pXXNNZl4TCAASU0A6uFlT8+dLlZXpf70ZM6QDB6zs+NFH0/96AAAAQJT92Z9J+fnSZ59JL7yQ/tf78ENp5UrreuB6HlmGxBSQDjfdJA0aJNXUpP9EtmGD9Nprtn7ySSs/BgAAANB4bdpIP/iBrWfOlLZvT+/ruZ34xo2Trr02va8FBAyJKSBdvvUtO86dK33+eXpe4/Rp6Wc/s/WECdKAAel5HQAAACDbjBol3XKLVF1tLX2JRHpe5+OPpeXLpViMailkJRJTQLr07SsVFdmJLF1VUzNnWnlx27bS5MnpeQ0AAAAgG8Vi0l/8hdSihfT++8kuhVRz1VJjx9poDiDLkJgC0slVTb35prR3b2p/9rZtyYTXD35g5cYAAAAAUqdjR+m737X19OnSvn2p/flbtkjLllEthaxGYgpIp/79bVeP6mrppZdS93MTCSsnrq6Wbr1VGjkydT8bAAAAQNLXvy717i1VVUm//GVqf/Zzz9lx9GipS5fU/mwgJEhMAenmduh7/XVp//7U/MxXX5U2bbKy4h/+0J6wAAAAAEi9nBzbZCg3V1qyxL5SoaLCfhbVUshyJKaAdBs4UOrXzwaVv/ji5f+8ffukGTNs/d3vWnkxAAAAgPQpLJQefNDWv/iFdOzY5f9MVy01cqR0/fWX//OAkCIxBaRbLJacNfW731mF07PPWsVTTU3Df94vfmFlxL17W1kxAAAAgPT75jelzp2tC+KZZxr+90+fltatk/7jP6TvfU9atCj5c4Esluc7ACArFBVZ3/hbb0kbNtjXr38ttWxpFVXFxdKgQdJ11128LW/JEundd62M+MknrawYAAAAQPo1ayY98YT04x9Lf/iD7aLXt++Fvz+RsHa9NWvsa/166eTJs79n4kSrxgKyGIkpIBNiMemv/kr60z+1k9Lq1dLatdKRI7YLx7Jl9n0dOliSqrjYklnt2yd/xtGjVi0lSQ89xAkMAAAAyLSbb5bGj5fmzLHNiJ55RmrSJPnnn3+eTESVl0vx+Nl/Pz8/eb1fXMxYDkAkpoDMicWka6+1r698Raqtte1h3Ylr40abHzVvnn1J1mvuTlrvvmtlwwUFlPsCAAAAvvy3/ya99560fbt1QfTubQ+e16yRdu06+3ubN5cGDEhe03frxsZFwJfEEolEwncQTkFBgXbt2qXOnTtr586dvsMBMuvkSen995OJqi1brPz3y/71X+3kBgAAAMCPt9+W/uZvzv39nBxLVLlE1E03SXnUgyD7NCS/wzsECIpmzZInMEk6fNja/Vyiavdu6RvfICkFAAAA+DZqlLR4sX117Zq8jh840ObIAqg3ElNAUF1xhW0dO3Kk/froUalVK78xAQAAALB2vP/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      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot derivatives for each knob\n",
    "\n",
    "layout = Layout(ring)\n",
    "_, _, lengths, *_ = layout.slicing_table()\n",
    "rectangles, labels = layout.profile_1d(scale=5, shift=-5.0, text=True,  delta=10.0, fontsize=8, exclude=['Marker', 'Drift'])\n",
    "\n",
    "for detax, detay in zip(detaxdk, detaydk):\n",
    "    fig, ax = plt.subplots(figsize=(12, 4))\n",
    "    ax.errorbar(ring.locations().cpu().numpy(), detax.cpu().numpy(), fmt='-', color='red', alpha=0.75)\n",
    "    ax.errorbar(ring.locations().cpu().numpy(), detay.cpu().numpy(), fmt='-', color='blue', alpha=0.75)\n",
    "    x_min = 0.5*ring.length/12.0 - 1.0\n",
    "    x_max = 1.5*ring.length/12.0 + 1.0\n",
    "    ax.set_xlim(x_min, x_max)\n",
    "    ax.tick_params(axis='x', length=6, width=1.5, direction='in', labelsize=12, bottom=True, top=False, labelbottom=True, labeltop=False)\n",
    "    ax.tick_params(axis='y', length=0, width=0, labelsize=12)    \n",
    "    plt.setp(ax.spines.values(), linewidth=2.0)\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "3bf2dc2d-88e4-45a2-9c44-51ec3334cd7e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[ 1.,  0.,  0.,  1.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  1.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 1.,  0.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  1.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  1.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  1.,  0.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  0.,  1.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  0.,  1.,  0.,  0.,  0.,  0.],\n",
      "        [ 0.,  0.,  0.,  0.,  0.,  1.,  0.],\n",
      "        [ 0.,  0.,  0.,  0.,  0.,  0.,  1.],\n",
      "        [ 0.,  0.,  0.,  0.,  0.,  0., -1.],\n",
      "        [ 0.,  0.,  0.,  0.,  0., -1.,  0.]], dtype=torch.float64)\n"
     ]
    }
   ],
   "source": [
    "# Construct the linear relation matrix explicitly\n",
    "\n",
    "nn = QF + QD\n",
    "for name in nkn:\n",
    "    if name not in nn:\n",
    "        nn.append(name)\n",
    "\n",
    "ns = nks\n",
    "\n",
    "names = nn + ns\n",
    "table = []\n",
    "for name in names:\n",
    "    local = torch.tensor((1 + 1 + 3 + 2)*[0.0], dtype=dtype)\n",
    "    if name in QF          : local[0] = +1.0\n",
    "    if name in QD          : local[1] = +1.0\n",
    "    if name == 'OCT_S01_02': local[2] = +1.0\n",
    "    if name == 'QF_S01_02' : local[3] = +1.0\n",
    "    if name == 'QD_S01_02' : local[4] = +1.0\n",
    "    if name == 'QD_S01_03' : local[4] = +1.0\n",
    "    if name == 'QF_S01_03' : local[3] = +1.0\n",
    "    if name == 'OCT_S01_03': local[2] = +1.0\n",
    "    if name == 'SD_S01_05' : local[5] = +1.0\n",
    "    if name == 'SH_S01_02' : local[6] = +1.0\n",
    "    if name == 'SH_S01_03' : local[6] = -1.0\n",
    "    if name == 'SD_S01_06' : local[5] = -1.0\n",
    "    table.append(local)\n",
    "\n",
    "table = torch.stack(table)\n",
    "\n",
    "print(table)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "5061f1d2-b5d3-4f33-b317-4b90ba733336",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[ 5.8543,  2.0964,  0.0764,  0.4879,  0.1747,  0.0000,  0.0000],\n",
      "        [-2.9918, -1.2602, -0.3117, -0.2493, -0.1050,  0.0000,  0.0000]],\n",
      "       dtype=torch.float64)\n"
     ]
    }
   ],
   "source": [
    "# Test and compare tune derivatives\n",
    "\n",
    "def observable_tune(knobs):\n",
    "    kn, ks = torch.split(table @ knobs, [len(nn), len(ns)])\n",
    "    nux, nuy = tune(ring, [kn, ks], ('kn', None, nn, None), ('ks', None, ns, None), matched=True, limit=1)\n",
    "    return torch.stack([nux, nuy])\n",
    "\n",
    "knobs = torch.tensor((1 + 1 + 3 + 2)*[0.0], dtype=dtype)\n",
    "\n",
    "print(torch.func.jacfwd(observable_tune)(knobs))"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [
    "myt0_gMIOq7b",
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