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@alexrudy
Last active April 21, 2016 08:03
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import h5py\n",
"import os\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from telemetry.models.periodogram import frequencies\n",
"from telemetry.algorithms.transfer.model import TransferFunction\n",
"from telemetry.algorithms.transfer.linfit import apply_fitter\n",
"from astropy.modeling.fitting import LevMarLSQFitter\n",
"import astropy.units as u"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def bode_plot(transfer_data, freq, sym=True, **kwargs):\n",
" \"\"\"Helper function for making bode plots.\"\"\"\n",
" plt.plot(freq, transfer_data, **kwargs)\n",
" if sym:\n",
" plt.plot(-freq, transfer_data, **kwargs)\n",
" plt.xscale('log')\n",
" plt.yscale('log')\n",
" plt.xlim(0.1, freq.max().value)\n",
" plt.xlabel(\"Frequency (Hz)\")\n",
" plt.ylabel(r\"$\\left|\\textrm{Power}\\right|^{2}$\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Load Data\n",
"We will be working with a stacked periodogram of slopes, using the default control matrix, with a gain setting of 0.2"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"case = \"s2100\"\n",
"file = h5py.File(os.path.expanduser(\"~/Documents/Telemetry/ShaneAO/2016-04-18/telemetry/telemetry_{}.hdf5\".format(case)))\n",
"tf = file['/transferfunction/hcoefficients/data']"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"transfer_functions = tf[...]\n",
"rate = 1000 * u.Hz\n",
"freq = frequencies(transfer_functions.shape[0], rate)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here are all of the transfer functions we have to work with. There are 224 transfer functions (one for each WFS mode)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10e095cf8>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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G29VSZjz9zZPwyM3OLXh6f3579E/X9awTHn8dTbjj7xehF24HEXlBEIQTWCSmZHWTdc27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VlNfhTsYdCigET8sGlz3BSHfy9RvCAIp0nhPnGk8K64POm95dE67bnzKNu2bfi+DwDK9IaOP0qa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\nBvjxj398o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"text/plain": [
"<matplotlib.figure.Figure at 0x10e078400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bode_plot(transfer_functions, freq, alpha=0.01, c='k')\n",
"plt.ylim(1e-2, 10)\n",
"plt.title(\"Transfer Functions for {}, all modes\".format(case))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Low-order transfer function\n",
"By selecting only the first 20 modes, we can look at system performance in the low-order case. The modes are roughly ordered by spatial frequency."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10eb01048>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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H49jE4wmazagXn0ymqNfrtFptkskUExMThCHk8zlKpfFRdbxrLV3rdnU0Lc7E\nRFQFb//yuv1kWaZYLNLv+xhGl62tMpXKLooS9cUkSWF2do7l5RWOHj1KsVjE931SqSSpVJZOp02l\nUuFnPzs5qqTXbNY/olYS7hQiyAuCIOxj2zaSBEEQYhhdPM8lFlMGRXCijPcwDFFVeVS9znWd0V7z\nVx4rCALS6RSapqEoKr3etYM8QKk0gSzLxGIxisUCuq5jWSaKouI4Do8++kkefPAh4vEErVaTfr9P\nEAQoiszc3BLxuMblyxdYX7+IaXZpt1sfdXP9xhtux3uvEkFeEARhwHVd+v1o6L3RqNPr9Uilkti2\nw8bGJpIkMTU1Tberk05nOXTo8CiQK4qC6x7MbO/1osp5iURq8H8C13Xwff+a759IJDh+/CFWVg6T\nyWSxLAPTNEmlUvi+SxAEg1r6MYIgxLYtarUGvu+zuDjP2FiJTCZDIpHg3LmznDx58rrvda9YXT3N\n6dNv3e7TuG1EkBcEQRgYFpKRJIlms4ltR+VoIUTXm8RiKul0Ct8PmJ9fGAzVW7iuy87ONhcunD8Q\nVIe99nj8YPb9e20JK8syqVSKeDyJ43hYlkUqlQagXq8xPj7Bgw8+zMTEJEEQYFldTNNgfn4Bx3FG\nm+isr1/izJlVfvrTn/DOO6fv2SI593IvHkSQFwRBGBmWs/V9n06nhSxLeJ432FbWRlVj9PsBiYTG\n8eMPDdbRd9nZ2SYW0+j3fRqNxuh4wyA/zL4fBuvhNrbvpVDIo2kxul2dWCwGQLMZHfu++1Z48MEH\nUVUNRYkRi6lcurTOhQsXuHTpMo7j4TgOe3t7vPnmf2AY+uhnhXuLCPKCIAgDnufS6zmDde0h2WxU\nurbbbQ6G7tN4nsfk5BQzMzMAXLq0hut6zMxMoygq9Xpt1HuMbgw0VDVKnhvuMX+tZXRXKhSKJBJJ\nOp0WpmnSbrfw/T4A2WyWhYUlxsaKFIt5TLPHmTNv0Wo16XZN6vUaqVSaIIh2zDt37hzN5r09P3+v\n9uhFkBcEQRhwHAfPi4K870dL4uLxOPV6Y7RpTCIR54EHHkSWZVzXpdVqkc1mWFq6j1KpNOrND+f3\nk8l3M+5VVSWVSo/qzr+XVCpFqTSBafY4f/4slmXRarVQFJVEIsHS0hK5XB5ZjtFqNajXG8RiGqlU\nEsexSSZT5PNZwhAMo8O5c6tsbFy+64KdrutcvLh2w+u62677ZokgLwiCMDCc0+71bAqFPN2uiSwr\nrK9fottmNdavAAAgAElEQVQ1yGSyLC+vsLJyGIBOp02/H1AsjgEwPj4xKDNbwzSj3vqVBXKGvflu\n92CJ22tZXFwkCPqD3eeStNtNHMdB13Xy+SKHDx8mnU4zPT3L+PgEDzxwnKmpSSzLJJPJEIvFsSyD\nWq3JpUtrrK2tsbe3+2E22W0VBAGXLq1hmsaoHsGVz1/r63uJKIYjCIIw4PselcoOALlclnq9SrUa\nJbKlUhmOH3+Ihx9+ZBSoW602AGNj40DUUx8fn6BarbC9vQVAInEwyOdyearVCobRHd0cXE8qlUJV\nVUzTQNNi1Go1YjENy4oy7mOxOEePHmVl5QgbGxvUarvs7Wm4roumaeTzeVqtFpcuXUCSZBYXl7Es\nC9/3R1MId7I33zxFpVJhYmKSTkenVBo/8Pz+wB4VF8rfFdf9foievCAIAtHyOcdxqNfrxONxYrEY\nnU6HjY11PM9jZmaWpaVlEonkaD18qxUls42NvRusp6dnSKczowAzTLobSqVSKIpKt3vj5LtarcrK\nymHy+QKapjE5OUkYhlSrFdbX17l8+TJbW9u0WnUURULTEvi+i+O4+H44mNPX2d7eZmtrkzNnVrEs\nk9XV01ct97vTVCoVyuUtqtUa29vblMsbQPQ5Dtt++H+v1+PixQusr1+71G+tVuOtt351x7fJtYgg\nLwiCQBQcqtUK/X7I+HiJVqtNt2tQq+0Si8U4fPgwmUzmQNBut1toWuyqMrVLS8uDhDsNTdOueq9M\nJoPvu++5lC6aOqgjyxJzc/MUCkU+9alPs7S0RDKZIpvNoaoyrtvD9z0URSUIfBKJFJIEtVqF5eUV\nDKOLrnewbYdKZRfP8+h2jZuaLvhNYRjGoKRwlMy4s7M92vTHNHV0vYPnRcsNz55dHU1JDPMeGo0m\ne3t7/OpXv7xmIN/djbYAHu7kdze5t8YtBEEQrsNxbGq1OqqqkM3mOX/+PKZpDmrApzh8+CipVGq0\nDM62bSzLIpe7eghYVVWOHj163XngfL5Ap9NG1zsHbhpqtRqVyi7j4xM4TrRjXbFYpNVqkU6nmZ2d\nQ5JgbKzE+PgErVaTzc118vkxbNsmFotz5MhR1tbO0+sZJBIJkskUhqHj+z69ns2//uvLFAo5xsaK\nlErj+L6PLMuj0QnbtnFd95r19W+XS5fWBqscdPr9kH7fHy1P7PdD2u02mUyK9fV1IOrlFwrFUZC/\nfPkinU6bzc11ul2dr371j66qTni3EkFeEASBaEi3Xq8Rj8dxHBfbtuh02niew+LiIvl8nng8PpqP\nHybdFQqFax7vveZ+c7kcsizTbreZno6W4pXLG7Ra0TK3arUCQDKZYm5ugVarNer1LywsjY5TLBYp\nl9exLJN+32dqahKQmJycxvP6g5K8Kul0Btd1MQydN998g0KhxMzMPIcOHeHcubMkk0kOHz4CwPnz\nZwF46KGHP5ZAaNs2m5sbTE5OjdpyWIp2fxuePv1rYrE4xWKJhYV5+v0Q3/cIgj79vk+tVufChXNk\nMhna7SZhGFIo5KnV6ui6Tr1ep1arcurUSe6//0Huv/8onudx8eJFdnd3SCSSpNMZJiaim6d8vnBX\n3AiIIC8IgkAUtC3LYGysRKvVwLZtms0GYQiHDx8hlUocWPPeaETZ3DdKnrsWWZZJpzN0uzq2bWPb\nNq1Wi0QiyezsHBsb6/T7PjMzs4MKeGlsu0cQBAcCz/j4OIVCCYjm6VVV5dFHP83c3DyXLq1x8eJ5\nSqUxkskElcoevh/Q74c0GjV+8YufUatV6Xa7/Kf/9H/x/e//P5w48fnRsS3LGt3QfJS2t7ew7egG\nq1AoEAQB5fImnU6bUmkc1/Uol7e4dOkiqVRmtNNfEPg4To92u43runS7BpqWZHu7TKfT4eLFNcbH\nJ9na2uLs2dUDSxa3tzdxnGiPgl/+8ucYhomqSjSbNdLpNNVqZbBCITcaTRkmM95pRJAXBEEAWq3W\nYMg7Rq9nUa/X6PV6jI0VmZiYJJXKkE7vn4+PgvzYWOmW3q9QKNDt6lQqe5imhSzLLC4ukUgkOHTo\nMK7rjoJsKpXCskwMwzgwjJ7NZsnn84yPT2BZJs1mm263y9TUBOvra1Sr1cEOeNM0m00gJB5PIEmw\ntrZGvV4jmy3wr//6/6HrOufPn+e//tf/GwDTND+WIB+GIRDtzre+fpnXX/93TNMiHo9TrVbY3d1F\nliUqlb3BJj8K8Xiccvky9XoLw+iiaXHa7RaFQou9vV22tsrMzs5iWRbl8ib1epUgCMlmo7YbliBO\nJBLs7e3RaNRYXj6EbduUy5sAlMtlbNsmn8/TaGTZ2triwQc/wcTExEfeJh8mEeQFQRCAvb1dwjCk\n3+/jeR6dThvbtpmbW2BycopkMjmajw+CgE6nc2D4/v3KZqMh+04nWoY3NTUz2qo2kUgc2LY2k8lS\nr9cwjO6BID82Nk4sphIEfRYWlmk2f0W1ugsoBAFoWpy5uXny+TyVyh6NRpWZmXkKhSznzp3F8zxA\nwfMcDMPg3LkzHD16hHQ6Ra9nEQQB2WyWTCZDrVZD1zvcd9/KhzqM7fs+rVZrtP5/e3uLXs8hlUqx\nu7vL5ublwfSJzeLiIru7O2xubnDhwgWWlpao1apMTU2jKAqmabK1tUWzWWdiYpz19XU6nTa+30eS\nQgxDJ5vN8Mtf/pxer8fERPS5BkFIEASYpoVlWezubmMYJkHQp1gcI5VK0+v12N3dJp/P31E9ehHk\nBUG45xmGQbPZRNPi9Ho2pmnQ6znEYgqTk1Pk89GQfDo9rD1vYds9isWxW153raoqc3PzOI5DLpe/\naqndfplMBlmWryqHm8vlKBbH0PUuMzPTHDt2DEVRiMXi/PrXv6LfDyiVShw+fJSNjcuYpo5pdkin\nU0xNTeO6Hr7v4TgQhlFN/ddee42xsQKl0gS53K84duw4n/3sCdbWLmBZBlNT0ze8sRnOsxeLY6Oe\nr+/71Go1Wq0Wn//8Z0YJf/1+n1qtNvi56Mai3W5Rqezi+308z8dxbHzfx/P6OI5LEPRRVZn19XVk\nWeLSpTWmpqax7R69noGqxnAcjzCUaDYbGIaBLCskEgnabZ0g6GPbPTzPpVSapNvVB8P/NtVqhY2N\njdFyynQ6zdTUJPPzS7iux9raGoVCHoDZ2blb+uw/LIZhDG5Wstd9jQjygiDc8+r1qEJdLKbQ7/fR\n9Q5B4JFMZigUChSL+dHucBBtFBMF0Pc/H7/fzc7ny7JMMpnCNI0Dc8Pv3ihcYnp6llgsNhiSDnnz\nzVPoepcjR44yNTXD/Pwi29s7qKpKt9slmUzhujqO47C7u0MsFsd1ffb2dkmlklSrFXRdZ2XlMHt7\nu7zxxk+RJJlDh44cCPKWZdFsNga5BJfJZLJUq1U8z6XVapDP52k2G1SrFS5dusjy8n3s7Ozw3//7\ny9x//wNAODpWpVJhZ2eH1dV3UFWVZDJJGEYrFHzfZXNznWQyRbFYxPM8JCnqvTebTbpdg2QygSRJ\nyLLC9vYmmhbH87zBxkMBlmXhujaxmEYQQL8f4Hk+qhrj8uV1ut0O29vbBEEwKm+cTmfRdR3P8xgf\nH0dVFer1aBleMplEkuTrJl9+lM6eXaVSqVAsFjl+fOW6rxNBXhCEe16r1Rzs/S4hSVCvVwflarOj\n4fF0+t3AtrERFVWZnJz+2M4xk8limtH69v2V3QqFAlNTk6iqiqKoOI7D8vJ9fPazJ7hw4RwzM3NU\nq3uDIJgmCAJct4dpdpFlCV3vous6uVwWRZFwXZtu18DzHMIQSqUxej2HTqdDoVCkVqsyP78wGsH4\n2c9ep9FoMTMzw89+doqlpWWOHDlCvd6g3W6RTCaRZQUA3492+HvttddYWzvL5uYmn/nMY6iqiu/7\nOI6DaRrs7u7g+x6l0gSFQp5YTMM0TRqNKul0Cl1vE48ncByDXs/G96M18slkkkajOZhLzxEEfcJQ\nxvPc0c2RaYbkcrHBevkA2zaRJBnXdfB9j83Ny6O2tG0HiEY5VldPY5omJ048QTyepNvVsSwLVY3x\n6U9/5mP7PRg6ffo08O7o0vWIIC8Iwj0tCAJarRau2yce10aFY1RVJZ8vjmrPDwOrrutUKlVyuRwT\nE5Mf23lG8+q76PrBIJ/PF9je3qLb1YnH49h2D1WNls2Nj09y7txZXNeh33dRFAlFkbGsgCDwKRSi\nXfYkKUSWFSRJRtPi+L6PrncwTYtTp06Ocgd839u35O4oe3u7nDt3lvHxqdGyP8excF2PXs9ie7uM\n53k8+OCDo/NtNpvs7u6yt1ehVJpkZ2eLbDaP7/t0ux02Nzex7R6+79Ns1vF9j2KxhK53UBR5MHwf\n9c6jAO8iSTK+72OaXWzbwnVddD36bBOJ+OjmQpIUHMdFVTUcp4dpymhatI1vr9cjk0njuh4QFUdS\nFJleTyMWS3D58gamabOycphUKo1pGrz22v9iamqGRx/95FXTNu12G9PsMje38IE/e9u2gajAUb1e\nZ3Hx3WWUnvfeVfpEkBcE4Z6m6zq9ng1ERVb29iqEoUQymSSR0MhmM6RS6VGP/sKFCwAcPnzoY11H\nHSXjJTFN40ABG1VVSSSS2HaPfD6PZZmsr1/GcWzCsE8mkyYeL9Fs1rCsHrreQdOGQc4mDCEeT5JK\npej3+6NlY44TlfmtVvfY3d3F96Ph7kuX1nj44UfY3d3hf/yP/5fNzU1SqcygboDP7m6FTscYBO0u\nvZ7F7OwsMzOzdDptyuUytdo2uq7j+31M06BYLDI5OcVbb/2a3d0dgiAkDENM0yQMQVUVVFUlDEN6\nvR6OYxOLqXhe1A6KohAEfdptF9O0CMOAIAiRpGg/AllWkSSZft8DJHzfG+Qj+LiuiizLSBJ4nkcY\nhoOd/Fzi8egGwbKiXAjLMtja2mRx8b7BdEaLer3OxsY6hw4dZmNjnSAIuO++FTY314GobVVV/UBD\n+ufPn8U0TSqVPRzHHpXnNc0u58+fA7543Z8VQV4QhHtatPSsQSymYts23W6HMIyWmsViGul0lsnJ\nKSAa1m80KmSzGaanDyZdlcsbuK7HwsLiR5Z9nc8XqFR2OX/+PEHgMzExxdTUFJlMhnq9RxhKo2vK\n5fIEQZ/77jvE5OQkhUIBw3gZSZLodo3BxjcmpmnQ7/s4jovneczOTlOt7mEYXTzPw/dl2u0mltXD\n86Ledr/fZ339Etvb25imyd7eLv2+j23baFo0GgIh3a6OLCtsbm5Qr9e5ePECptml02lTrVaRJJlE\nIjWosJcfzYf3+9E8ue/7WJaJpmmDGgEStm2NkvFiMQ0IURQFz/MJgj5B0EdRlFGgl2WVMOwD0XI9\nVVVH2wCHYTBYYQAQ4vt94vE4pmkC0dx+GIY0mw2CIMD3fdrtNr5/kZ2dber1OpIkYZrGaETI81zu\nu+/dOfL19ctoWoxC4VGAq2odvJcgCHjrrV8NEgKrXL58iTBkkPVfpNPRR7386xFBXhCEe5phGHS7\nbSDEti3a7Q6yLKGqMslkkvHxiVEvvtFoYFk9VlYOHciGHy4DA7hw4TwLC4sfSVnYYrE4yDqPhmiH\nX2ezeer12iiYQTRX2+m0MQyD++8/hqKoPPpolddf/wnJZBJNS1Cvr2LbFqqqkUjEaLdddnZ2yeXy\naFq0jK/Xs6nXG+i6gef1sG2H1177MfPzS6Ppg1hMYXx8Ctt2aLXaNJvN0fuXSiVef/11lpYWOXfu\nDPl8gc3NzcEGPSFhCMViCd+v0+v1RkVrYrEYEOK6USZ8lC8hEQQhEA4S7CQURR0Fe8eJArwkRUFU\nURRUNQr40UhAMDquoiijEZEgCAbH7qOqKpZloigqqhrD8/qDUrou8XiCXs+k0+nS65mjZXcnT55k\namqara1NbNvhkUc+CUAQhGxvb5FIxHn44UfxfZ/V1dPk8wWWlpav+zkHQcDZs2cJAp/NzQ1M00CS\nZIIgpNNpUq83GBsrYlk9DOO99yAQQV4QhHtW1FO0cBwX1/UwTQvoo2kpQCaXy7OwsAhEc7SNRm1Q\nWrV44DjDzV7S6Qy9nsXm5jrHjz/0oQ/na5rG+Hi0JG1ycoq1tQs0Gg1M00LXDRKJJIqi0u/7zM7O\n0mw2qdWqgxr7Oebm5oBoXj6dTuJ5Pp7nkcsVUdUYlmXi+30SiTiFQm4wt25TqVQwTRNFUbAskzNn\nzpBIZAZz3zqu61Iur1Ov12k0GoRhSLFYQNd1NE1jb28H2zYH9eYlLMsa9fZTqTR7e1uD3nVAGAZI\nUnSDparKICHPRdNiyLKCosgEgUwU6GVAwvO8QVtHjylKlOinqiqSBCCRzWaRJJluV8f3o957LBYb\nBM8+kiQB0iDjPhrWD4JodEKSohuMTqfN+vo6kiTRbuujqnk/+MH3qdUqKIrK0tLSaDOdWm0PXW9R\nLnd47LHHR+c1rI0wZBgGnU6bYnGMIAg4dep1ms0myWRqsHNgj4mJEhsbUQlj0zTp9/vU69Ub/s6I\nIC8Iwm8E247Wp4dhj0qlTRBEf/BTqfQtlY69GYZh4Dg2nufR70frs30/YGJiilwux/33P0gul2Nv\nb5fLly+zu7vNxMQE2Wz+wHF0PQryMzOztNutQeEa46revO/7VCq7TExM3fKQfrT8KxryXVk5xPr6\nZWy7R7fbwvdd5ubm6fV8JienCIJfcfr0GWzb4umnf5tSqcT8/CL1eo3x8XHGxsbxPB/b7mHbLr2e\nzfb2JkeOHGZiYnowt+/iujZhGKJpaRzH5eLFS9h2VEDHMLpUq1Wy2QyVSmVQRKhHvd4gkdDY3Nwg\nDAO6XX2QjGYO5uM9PG84jA627Qx65gqyHJLJZAc3If5g6D1AVWNEw+jRDUEiER98Lw+G4mODOXgZ\nVVVIp9PYtoOiyMTjidFwPjBq/yAIBnPvPkEAnucMchKi6oe+HyUpRjcUBru7u4PkxhhB0EfT4tTr\nDU6efIP7778fz3OxbYeFhXlqtTqtVhPfD3n11R8xP7+EZVmDPQYYvf9/+2/fp9lscf/9D5BMJmm3\nO5w/fw7f73P69K+ZnZ2j3W6yvn4JyzLJ5/NsbESrCKI2uD4R5AVBuO0ajfog4SrAstK0Wua+5xq4\nrsfU1NSH/r6WZWJZFr7vIUkhlmUiy1HGdak0xvT0JJcvX8I0jcHmNQkWF5euCt6GYaCqGqlUCt/3\nqddrdLudq163sbE+SJzrv+dw7fUEQbBvW9Q2KyuHOHr0fmzbRte77O1FQ+1HjhzFdV08L9qUZnt7\nm9XV0zz66KdYXl6i1WqSTkerBqLerEQ+nx9kjZtcvHhhlNQ2zFaXJIVMRiaRSFCrVXBdh17Pot8P\nqNermGbUllFinEO/3wdSlEoy7XYXYDD0Xx/Mh0eJjpYVDDLcAyRJwfNcFCVGKpUil8th2+bg98LC\n86Ih82iuPLoBHP5vGAaxWDQaEYvFUJQYExNT6LqOJIEkyThOf3CjAPF4HFWNYZpd+v0+YRhNAQy3\noo2u3R706kNUNVpeaZomjuOgqu6ghy/j+306nQ67u7uUy1v0ehbNZo0LF9aIxRTm5+cxTWu06VEu\nl+EnP3ltsKPgOG+88QaWZaAoCtlsjlQqQRiGgyqMAaZpUKtVaLc79PsB+Xx+MMLRG5VXvh4R5AVB\nuK2iBKYaiqIyMzPD7OwYjYY5Gure3NykUtlFluUPvW64YRiDXmWUVOX73mgpVDZboN1uk832kWWV\nhYWFwVzqfVcdo9/3R0P4w+p03W6Uke37PoZhYJpdTDN6LBoy9q9bLW+449yVVfD27z9v2z3W1i6w\nsnKIRCLBJz/5Kf7t317l0qWLg+AA1WqNYrGA53m8+eZ/UK9XcF2PpaVFKpU90ukUQeCPEtVyudzg\nZqFCJpMlm82OSr5KUjDYJCfq1VqWRb1eR5Zl8vki9XoNyzLwfW/U845uNKKEuF7PxrIMHMchDAMU\nRWW4osH3lX29cZVUKkk6nSWRSA4S4aLrjsU0EokkkiQNytFGZWeHNwz9foimxYnFYoOheomFhXm6\nXYNYTKNer40CfiqVJpNJ4Tguvu/R73vEYhq+HxKLxQY3KSGyHA3jh2H0Wfb77iA7P7pRsKwom7/T\naQFR0qCud1hcnGdvbw9JklHVGJ1ONJIxNzfH5uYmp0+/TafT5sknv0i73aTf9zl16nXy+TyTkzOD\nlQo71OvVQfJfi37fxzRNJAkcx9s3BXJ9IsgLgnBb+L4/6tlqWpzl5ftIJBIUClk8Txm9bmVlhYsX\n10Y92A8r0Pt+NEw9/CNvWSZBEBKPq4Mh8WjYt1gsIkkyzWbjmsugDCPqpQ6H8PfvMGcYxmhHOQBV\n1RgbK1KtVmg0GgdGJwzDoFLZw7bt0euHe9gPRVnfsLCwONoat1ze5NChw6TTaY4dO87lyxcHCWx9\nFheXicUUzp07y8WLa3Q6LWZn5wZz3yHj4xMkEnHy+dKgcExIpbI76pU7jo1tW/T7Iel0cjCnLI3+\nRSMgMp1Oa9TrjdajS8RisUGSW7Tnu2m28DwfRZEJQ4lYTB0ESxdF8Qfz7QqpVJJMJksyGUeWFcbH\nx+n3q6hqjFhMJZGIY9supdIY8XgcXdeZmZnH9106nS7xuDa4gQBZVpBllZWVFXq93mAL2z62bROP\nx0gkkmQyadrt1uAmIxht4BNl5r+blBdltQeD4B+Jev3SYDmjQ7VaJR5P4LreoGyuPyir2+X++x/A\nNKMlePPzi2xtbdLrOfzkJ/9Gux0lflpWhW43T61WQ1EUyuUNLMsclP0NSSajPIroxjHKhRjmF1yP\nCPKCIHzsbDta6+u6DtlsjoWFxev2aoe7sn3YgX5YB951bTzPwTRNfN8nmy0M1k3LFItjTE3NsLa2\nNuixXh3kdV1HluUDQ/O5XI5uVx8F+GKxiKYlKBaLyLJMvV47EOSDIGBzcxPfjwq1ZLPRz29tlUkm\no6V809MzWFYU5NPpDMXiGL1eD9M0KJc3mJmZ4/DhIywv3zfI+jZIpzNsbZXpdqPEriihLUWvZ6Oq\nCVZWDuG6PlNTU/i+x/nzZ1EUhY2NDQxDJwwZZJ37g5EOH0VRBzdI1qCXqo4y0/v9dwNi9JyC60bL\n7oIg6m3H4wkURR4tkQvDkFgsThhGmfGLi0tks9nRErlcrkC73UWWbf5/9t6sN5LzTNO+MjL2yH0l\nmUzuxaU2VcmS2tWWu9HGQHbDg8FggPZxo7vRf2DmuA/6dLp/wWAOBh8wGGiAwTcHY4yN8bT7g2W1\nJUsqqVQbizuZJHPft8jIyO8ggqGiSlWS7JJLouICBIhMMvPNTFY+8T7v/dx3IpHCskwmE9zOT45I\nJEEiEaNer9DtDtA0jXQ6Q6fTBcZIkohhROh2e6RSabLZLKXSKcPhJ+I7TdPdi7yxu3MX3Au9sXuW\nP8E0B4zHEAg4Fy1n6n7nOYj0+30EIUC/30fXNcZj29UdmNRqNe7evUMoFGFpybH1PdMnmKbj0dDt\ndmk0GgyHFolEBNMc0+l0GAz63ms+HA6x7YnrxR9gMnG6LM/CL/I+Pj5/UHq9Hru7O4zHFqlU+guF\nfHy60EuS9Hv7hXe7bWzbOYcfDkeuwAsURWYw6BMOh10F+xaWZZLJZJ9Qy5umyWDQxzBC5247izQd\njy0MI0Q+P3/u96LRKPV6nXq9RjyecN3kTJLJpOeQtr+/54nY4JPWsCjKnmhsfn6Bra1H1Ot1ut0e\nKyuXvNvOUuxWVi4xNTWNqio0m02Wl1e4ffsDGg1nzC2VSnouebOzefr9Pqrq+Nh3Ok0kSfJen35/\ngGHojMcjut0+kiQRChlomsFoNHLP8QPYto0kKQiC6M7VT7Bty/WEN1GUEJqmY1kjLGvsnTErioyi\nqITDESYT0HWDXi9INBrHsgaEQiH6/QGCMMK2HaFdNCoxmeBa9hYRhCCLi8t0Oh0KhSNEUUSWHcOg\nWq3K3Nw809MznlI9EAh4Z/KDwcAdnQtimhPGY2fUbjwenpu3dwrrBEGQ3N8/v5s2TRHoeUW433dc\nAJ0ZewtFkahUKvR6faLRCIPBkNHI6SY5RxxDAgHHhc80hwjCGEEA2w4wHltud0EgGBS8kcOn4Rd5\nHx+f544T13nMYDBgcXHJazk7O9Z9xmOLXG72nD3r56GqKouLS+zsbFEoHKHr+u9lOtNud1wDF9Nt\ngY5QFNlTZ2cyU5ycHDMeW2Sz058p/Gs2mwBEIufV9rLsnB2b5tAbwXucbHbaFWqdEo3GqFarACST\nn3QocrlZJElCURROTo4pFI6wbftcN0EURVZX1zg5KVCtVj3ntU8jyzLXr7/EBx+8z2AwJBaL8/HH\nH7lFziaRSNFsNplMbFKpNIeHB4hij0QiQa/XZzBwHOaCQce85qwATSZ4hjGq6rzHTlqcI14bDvuu\n45uAZQW9M/ezM/Px2CYYDHpmN878voyuh8hmMwhCkE6nhabpXnu/2+0TDAYIBD450hkOe6iqimEY\nRCJh0mlnxz4cDtzHkBiPHTe7WCyGoijIsoQoRkkkEm6bXfaEd5KkMhqNCQYdl7yzdTpOfAEmExP4\nZBc9HtvezvrsosE5uhh5moZg0NF7FAqHSJJMv991pzos+v2ee5Hp+AY4AUnjxwSKI8Zj3DU4jzmZ\n2IzHEz4Pv8j7+Pg8N0zT5OTk+Nwc8N7eHisrK8iyTKFwiGkOSaXSX6rAn6HrOtnsNCcnBe8s+nfB\nSSM7G5XqMxh03PNixfUwD2EYBuOxRT4/99QRPmfW29mZf5qlpWVs2/7MC5GzefdSqcjm5kPv2OLx\nDHlRFM91OYrFEqIYeGItgiCQy+Xpdnue89rjXYVC4ZBqtUo8nkRVFXq9Lul0Ck3T6Pd7tNsdIpEE\nwaBAq9XDMEJcu3aD7e2HCIKIIJyZwzgjabquI4qiZwUcCATcETUDVZVdhb0zl16rVb3nMho5gj3D\nMAiFQoTDcTqdNrY9JhKJMD2dw7KGhMNhZFlC0wzy+TyHh4eMxxPW1zcQBIFyuUQoFObRo03vOVrW\nBPRBnXQAACAASURBVFmWSKUyRKMxMpms6/oXdi2KFUKhENFonNnZWTRNY29vz/UTyHHv3j2Gw4Hr\n3w+apqJpCs1mw7UGDrlCwiHD4dCbyQfHRe/M1Mcp0hNXyGd5Xztn/GP3AmhEIODs0D9Z/9n3A54e\nw7k4+OT8HzinB/jksZ+NX+R9fHx+byzLolQqevafqqoxNTVNv9+nWDxhb2+XZDJJvV73bvtdSafT\nbnhKh3K5/KXP58+6CeCotQeDAf3+kMlkTCAwRpJkYrG4F/LytALvBKI4BjSfVcg/L2c+k8nSaDQw\nzSGqqpHNPj3RLplMfe5FkWHo7rz7wOucODa8TqF1jiCi1Gp1ZFkmHo+TSKRQVQVFkTEMzVWPT0in\nk4xGCywsLFOrFSkUDkkm46TTWRqNuquwd0xjBoMRiqK4yvwWwaBAOp0hHk/S73cRhACyLLtF0CYU\nihAOh1FVmenpnDuumCYUCrmvYwDDMBAEPOe6dDrN5ctXabUaaJrmeuyH6fV6rK2t02jUOTk5ZjIJ\nMDMzgyzLWJZFKpUlEAhgGDq1muNIGAxKhEJhbty46QnXZmfzVCoVV59hIggBcrk8k4ljo6soCvV6\nHUVRGY1G7m7aEdyNx2OCQdFr4cP5YnwWnuN+5d3m6BZgNLLcyYCxF5N7Np3wPPCLvI+Pz++MbduU\ny2UqlbLrNy6Ty015hTESiWCaA4rFEvv7e0xPTzM3N48gCK54a0C/32cw6NHvD9A0lXT66uc+bj4/\nx6NHmxSLJ27BUD/3d84olZwZ72QySalU8ubWAwHn7FWWVTRNR5aVZ6bMnbncfZYY74sgCAKrq2uu\nycvv/1Gsqs7ce7/f8+b1HVW281j9fg9VVYjHY3S7PWZn86ysrDEYDDk+PkIQAmxsXOXjj+8QjcZQ\nVYPXXvsjdne3qVTqJBIJTNOk1+sRDGpEo46aXlEGgCMyk2WZaDTKZOKo8TOZKYbDIaORiao6wrpk\nMoUsBxFFhYWFlHdxEww64rWpqRnG4xGLi0ueWc5ZB2A0GtFoNAkGnb+thYUFZFmm2Qxw7do19vZ2\niMcTRKMxhsMhmUyGWq1KMOio/B0RY5B8fo7xeIxpjjg+PmJpaZlEIkGr1WAyCbgXPyqpVJLxOIqm\nOSZAvV7Xi6E924k7Z/Zjt+CftdIn3rrPzuUdQeIEp8Y7M/dnY4NnFwFno4BPJ8DZhcQXxS/yPj4+\nvxODwYCDg31P/ZvNTpNOp58Qp+VyeR49ekSz2WR2dvacsv6Ms/CPVqvF8fExkhR+5mPLsszMzAyH\nhwccHR2ysnLpC6251+tRKhURRWcXubW1RbvdRBQF+v2RK4pyTFJCodAz/eedsafPbtV/Uc6S5J4H\nmubs3judjqvc7rjrixGJRDg8PKBcrhAKRdyiJLKwsOglmmmaSjKZBJz3I5VKsbCwSLvdRFUVstlp\nqtUSTpCLRSqVBATK5SK2bROPJ9zOSpa5uTyCEGQwcDokrVabfn+AbU+Ynp4CbHo9R1AYiyWIRuO0\n2036/T6pVIJcbpZ0OkO9Xvda1rque2EywWCQXC7HwsICu7vO+g0jTD4/z9TUNLquU61WvCMCRZG8\n7tHMTJ5kMukeHTn3Fw6HEMUgCwuL5HLzVKvOKJyiOJa2oZDmztQ7LnhnKXln5+9wvo1+9t46tf7x\ntv4ZE28k74u03B0C7rk/3mP77XofH5+vhMcd6uLxONPTuafuRsvlMvF4HNsec3xcYGtri06ng6Io\n6LqGqmoYhoEoiu7oVpV0epaZmRnC4chT7zceT9BqtWg2GxSLxc91xLNtm6Mjx1N8dnYWQRAolU4Z\nDIaA4Ia+OMKwdDr11GMA27Zdcxtnvv/LdBG+SlRV9XLfwdkZTyY26XQGXdcJBp2UvULhiPHYJhwO\nEYvFWF1dIxQKk8lkEASBDz+8jaYZxONxdF3nypXrVKtVgsEg2Wya0WiMYegEAhNMc0QwKDIcDtA0\nnckEVFVhaWnFW0uz2SIaTdDv99A0hdXVDQaDDsWiY6QzPT1NJjPFnTsfkslkkGXZEzI6FreOwE6S\nJAQhwPz8vGs21EbTdJaXVxiNTAxDQxAEd/ZfxXlPLSRJ9lzugsGA6+Gfp1JxHOkmExtV1Vlfv+Ja\n3B5g284kQSwWdt9jjUTCOS4xzRHj8ZhGo0EgAKaJJ7obDs+32c/m7Z/GkzX6/E798UIeDH4SuuMI\nAQV3bt8fofPx8XlOWJZFoXBEs9kgGBSZm5t75ihbr9ejXC56O7CPP75DrVZjYWHBtSB1LFOd2WLD\njUOtUancpdfroijKubGyT5PLzdJsNmi3W59b5E9OCgwGfeLxuHuMYHojTYLgfHhPJrhnxEkMI0S5\nXPY+tE1zQL8/8AR7wO89xvc8cex4Fe85nr1mZ52CSCRCNjvlxum2uHr1JQRBIBQKsbq66t3P97//\np+zubhOPx70c9NXVdUxzSLVaZW1tncnEsVYNhcKUy2Wq1SGBQIBYLMrNm6+44rwgkiQTCoVIJlP0\n+z1SqRTJZJJYbJlSqUan0+Wll26ysnKJYvHUHZVc9oJcBOGTEjWZOK+5ojhe7ZpmALC2tkEg4FgR\nOy33DrFY1CuKghAgHo+RTmdQFIXLl68An7gJjscTdF0ll8sxHo8plU4RBCe9LhBQyWaztNttV1ug\nIMsK4XDITbEbMRgMME3T22GPx2MvKe/s9X/a+Xog8OlCf36H7ggWR4/9fMD9ftALzfHn5H18fJ4L\nnU7HM2zRdYO5uXna7Ra7uztks1NPWLCapskHH7zP6emJa6ISJBQKoWkaU1MzzM8veB+KZ6NEjsNZ\nhI8+us/+/gHT01OMx2PS6ay78y5Sr9cJBoNIkoSqOpanZ2NKT2t9nwnQZFnxil+1WqFSqTIej90Q\nEscS1TBCBIMiW1ubT3yAnhXSUCiErhtfSZzs78PMTI7hcPBUkV4+P4ckSYxGI6anP1v8eOnSKoZh\neMUUPrlQCIXCVKtVAgGBV175IyYTm1gsTrVaQdMcX3/DMFhaWmYymfDee79FFEOkUklWVm5hmibN\nZtMVNYYxjDCpVBpRFL2OyCcJcjKaNkbTdGKxGJIks7S0ws7OFgALCwve8dCNGzdpt1vnRJKi6KxZ\nUVSWli55RkJnIsmzc/p4PM7Vq9dYXFzm+PiIy5evUq3WSKVSjEYmmmaQTKao1SqMxzaJRJrBoIum\n6Z45TTyecAN7ggyHIyzL9M7Zz0R6Tryt6DoLfrIzd1r28Omz9kBAcIV4ghef69Z4AgEBSRI/dxcP\nfpH38fH5ApyenlAqFQFHFZ7JZL3ZbHBEaMlkkmx22s3j7vH2229xcnLCaDQil5smFosjy5fodrsY\nhn7OjtOZwQ7S6/URRedDrdGo02o1iMXiKIriWpLabpTqGNMc0u126HQ61Go1VlfXnrjQALwWtSAI\nLCwsIggCpmny0Ue32d/fpdtteztGWQ5imk7sbCDgtJKdNrHgFaLnHR/7PAmFQoRCoafeLgjCFzIf\netrPyLITpdput91dc4toNEwymebll79DOp0hnc6yuroOOHoMSZKZns4Sj8fdON8ui4uL9Ps25XKJ\nRCLhvrYa4ExmZDJZLwjnypVr1GpVz4woHo9Tr9cJh8PeeyGK4hNTEFevvsTt2++RzWYIhUJekT8j\nk8mSTKa8kB9d1zk+PiKRSPD663/CBx+8x9zcAu12m3A4xMLCEnNzC2SzGd57713C4bCbC2ARiYQZ\nDAY0Gi16vQ61Wp1Op+UF2ASDE2zb2YEPh+PHinXAG0E8mz5wfPLH7m5dcL34nb/Px1v/oih50yDP\n4mtf5A8PD7l37x6Hh4f8zd/8zYtejo/PtwrTNDk42HdVxTJzc3OoqsrOzja9XhdV1Uin0xSLjhf7\nWZb4u+++y8nJMbIsc/nyFWZn592ZYZubN19GFEV3fMlyA0oc44/hcIiuBwGFe/fu8PDhQ957710a\njQavvvoa09M5ksmk1wIdDAYMhyP293cplYqepevZh//ZuJxt2+Tzc95usVIp02q16PX6mKaFKDpt\n3fHY2fnlcjkuXVp9Lqr3i8Dc3DwHB/vMzOQoFk/Z2HBa3pFIhCtXXiIaTZJOp3nppZvEYjHvdZuf\nX3DHJp2LL1VV+Nf/+t+QzUYpl9uYpuntrOfmnA7LwsKi970zp8DHRy5zuTzZ7PTnGiFFIlFeeull\nxuMxkUjUu0g9wzmmuEQ4HPUujFZX1721Ly8vU6vVOD4+otfru86Fc8zM5Hj0aBtV1YnHk9y7dxdF\nUclmZ1CUAvW66IbwTFAUheGw75ktne3KzxzrnL9Tp8iftekdNX7AO4I4E/qJomPoo6qal2EgijKq\n+g0v8v/pP/0n/v7v/54333yTt99+m1u3br3oJfn4fCuwLIudnW1Mc0g0GiOXm8U0TTY3N7Esk2g0\nRjY75Y4oOTvvd955h83NhwSDARYXl1hbu0w8Hmd3dxvTNLl0yRkZq9frJJPJc0V0MBggCAKaFqBc\nbjM3t0C93qBYPGFn5wHf+c4rNBqOFayiKG4AikwikWB3d5vd3R0kSfTa8rque6Y38Xjc2+mdPX67\n3UFRRKLRKP3+gGDQUTpHozG/wH8KVVVZXV0DIBQ6b0CUSCTodjtEo1FSqfPHBDdu3GR7e4v19cvU\n6zWSyRSiKHpTBZ8lWvy84u0cmXwxp0NN09xxQBVZVp7QUHxa6/H4eubm5pmdzZNIJDg5OUYUgyQS\nSTRN5bvfvcV4PCIQCHJ05HguXL58laWlJe7d+5jx2EbXdVRV4/T0BHC6VWfdqLOd/CdKecFNAnSM\ncxRFYzQyvaAfTQuRTMYpl8ueMY8oikQiEdLpZ2tRXvhf8eHhIfn8Z4tqAAoFJ5Ain89zdHT0h1qW\nj8+3nsPDA8+dbmYmR71e86xVz8blNjcf0u12qNerbG5uUa9XiERCrK6uc+XKS8zPz1GvO/7rsqxg\n22N+9at/xrIcq9ibN1+m1+tRrVY4Pj6mXq+xvr6EbVvMz89z48bL/M//+T+4e/cOv/3tvxCNJhCE\ngCf6Go8njEZDTk4KlMtFxuMxh4f77vm/4z0/Pz9/7sO8Xq+5OeZtbNsZPTPNIb2eSSQS5tKlS36B\n/xJkMk6RWV+//MRtyWSKeDzxRIDPZ5HPzz03A5hPIwgC6+sbv9Pvzc7mCQRwj3qC3gVjvV5je3ub\njY2rnJwUWF9fo1wuoyiO5uTtt9/CskaEw1EmE9tt3wtuZO3InRwQGY2GKIri+f5LkoRh6JhmEMuy\nCYXCLCwso+sq4XAMyxp6x1dLS0ssLCw98zm80L/ke/fu8Zd/+Ze888473vf+4R/+gevXr3NwcOC3\n5318XhCnpye02y0MI8TMTM7LfBcEgbm5BWKxGNvb2xwc7GHbE2q1KqPRkI2Nq/zZn/0rDMPg+PiY\ng4N9jo+PUVWNjY0N2u0Wo9GI4dDk7t073L37EZnMNKY5JBgMMhwOabVarKxc9RTwi4tLfPjhbUql\nEmtrzo6wVqtRLBZRFIXT01PXY96m0+kSi8XQtKBrnxr2ZqHPqFarXqvetnGtXvuuvWqU2dknveZ9\nns7U1PQzHQy/qIbhac6CvyuPH9n8vvfz6YChWCzuWRovLCyytrZOOBxBkpyAHVVVqVQq7O/vEYlE\nvCz40WiEpum0201kWSMcNty0PGc3H4lEkGWFQCDgBfgkkxlu3LhJt9uk0XAMmERRIRAY8+qrt0gk\nnv26vdAif/ny5XPtk5/97GfE43HeeOMN/uEf/oGf/exnzM7OAs6O/9q1ay9qqT4+3xoajYZnGJPL\nzbK9vXUu812WZR4+vMfdu3eZTJwxufF4xPr6Brduve7t2FRV5f3360SjUZLJ1GPRq2NmZmbY2dni\n4GCPSqXM9PQMU1MzZDIZ+v0e//zP/0Q4HObw8BBVlYlGw4zHY4bDPvn8PP2+49NeKhVde1knprNS\nKXHr1uteCtxg4HiEJxIJ4vGEN99eq5XpdnsYhsJoNHbb9UGSySSp1PPJq/d5sZwV+U/7vT8PPt3p\nMQwDwwgRiURRVZV4PMHDh/fJZjMkk0m2t3fc8B2FbreLKAaZmpomEom5ZkxOml00GnHHSHtUq2Ua\njSZra6v86Ed/zrvvvkMy2UXTVFRVQ9M0kskEivJsn4YX3pN63LHnpz/9KT/+8Y8BuHbtGm+99RZ/\n+7d/y5tvvkkgEGBj48u3W3x8fL44g8GAo6MDV4m+wNHRIb1eF8MIMT+/QLPZ4OHDI7a3H9Hr9YAA\nmqaRySzw3e/eOndWurn5kE6n5Z5tzlEsnhKLxdE0DVGUmJ2dQ9M0BoMh+fw8nU6LSqXMZGKyv1+g\n222TTGaIx2OsrV3ln//5F/zLv/yGf/fv/oL19Q02Nzc5PT31ugDNZssdHbPdUa8KDx48QNNUgkGR\n73wnQbVa4fT0lHa7g6qKyLJKrXaCIAQIhXR3xO/rYW7j8/sxM5NjZ2fr98pJeBpnZ/eOsG5IICCw\nvLyCbdtsbj5kejrnjvcFeeWV72CaIxKJBCsrl3j77V/T7y8SiyVYWFhgZ2fLdSsMEA4bRKMJqtUy\ntn2JarXM8vIKiUSCq1evcefOHa5du0a/PyCZTCBJEvV6/ZlrfeFF/nHa7bZ3Ph+JRCgUCszOzvKT\nn/zkBa/Mx+fiY9s2e3u7nhK91WrS63UJhyMkkym2th4xGPQpFA4ZDvvY9gRd11haWuT69Zvndjfb\n21tsbj7EMDRM0+TevY85ODggFAoTi8VpNhuIosji4iKdTo/T0xNqtSq6bvDyy1eZTIL0+wNmZmZI\npTKcnp6iKDKHh4f88pf/l1/+cszpaZHJxHZtRyPMz88RDIrcu3efVqvjCpImHB7u02q13ejPMYNB\n37Un1QgGJdeDXsAwokSjsc8dSfL5ZqDrOlevXv9K7tuJ+F3HssbY9pjpaWfk8PGz/5mZWSxrTCKR\nZmVlhXg8wR//8ff5zndepVA45tGjTaLRqOthLxGNRlhcXGJ2do7f/OZtlpZWCATwfCKmp3OsrKwy\nHPYxjDDHx8fMzy8wPT3z7LV+Ja/Al+DMwQfw2nMbGxu0Wi2vVf9lSaef7Xvt883Hf4+fP9vb2xiG\nyOLiDLFYjM3NTaJRDcOQaTaLGIaIaVrYtkkgYJPPZ3n55ZdZWTmvtt7b2+PwcIt43OAHP/gBoijy\n0UcfMTXlCLC2tu7S6/VYWlrCtgVarQr37t2mXq+Tz+f56U8PmJmZ4aWXLhONRtnZ2QFMNjbW2Nvb\no9utMx6PUZQgk4mAoij0ej00zYk5lSSJjz/+gMXFRa5du4Yg2Ozt7fHWW/+XS5cuEY2GkOUAshzk\n5OSAycRG12VSqSizs1PMzqaIRPy/r6+ab/6/4TDlsnMsNDOTeOL5vPzyVVRVYG4uiyzfcEcM191j\nhJd58803sSyL4VAjlUpx69Ytcrkcqqpy/frqZzweTE/Hvf+/dMnZEA8Gg2eu8oUX+cfb9T/+8Y85\nPHS8pQ8PD/ne9773O91nudx+Lmvz+XqSTof99/g5c2Z2YxghJCnMe+/dpd/vul7efTRNp9PpcPfu\nfRqNBqura1y9+jLRaMZ7L2zbZn9/j/39PVqtPteuvUQgoHF0dEK12qbbHdLptCmXnVn6d955j2DQ\ncV/rdAaEw1F6PZNAYMzh4RH1ehvbnlAqndDv98nl5pAkHcOIkUql6XY7aJpKuVzh5KREvd5AFINM\nT88gSTqTicjpaZlQKM709BhBCDAaQb3ewzQHWJZAuVxjODRRFI3JREAQFJrNIcOh//f1VXJR/g3X\n6868uq53CQTOP5+FhXVarSH1epdAQKHVGlCtfmLIY1kCzWYfUdSwbZFIJEO7PaLdPi8U/SI8Kz/h\nhavrj46OuH//PhsbG7zxxhv84z/+Iz/72c9oNpu88cYbL3J5Pj7fCh4X2s3PL7jpXEOGw6F7Ru2k\nb92/f5dms8n169e5fv3mOdGsaZrs7e3SbDZoNJpkMmkkSWJz8yF3796h3+8jSRKmaZJOZ7DtCcNh\nn0bD+flIJMr6+prrMpfi9LTC9vYunU6LZrNFrValUqkhy0EODnZZWlpmff0K+fwcEOD+/XskEnHm\n5hZYWJjHsmx37t7x9s7l8iiKjKJo7O3tIEmO7/hoNEIURURRwjAMdD30hWewfXyehSAIJBJx2u02\nly9ffULlv7S0TLvdIhKJfKUTHS9cXX///v1z3/v3//7fA/DDH/7wRSzJx+dbxaeFdu12i3q9TqNR\nJxaLMRw6meGbmw9pt1ssLS2zsrKGKIruGFqPYvGUzc1H9Hptut0OgUCA4bBPqVTk+LiAaVrE41Fi\nsTjxuEKn02Z2Ns94PKZcLhMMiiSTKQTB8fXudrsIQpC1tVVOT09Jp1MMhyb7+3uUSkUGgwGRSIxi\n8Zjd3R1EMcjs7CyhUBhVVVAUjXQ6QrlcQtcNGo2GOzsvMD0941qHSpyeFt3ZZAFFEVEUnUgk8rW2\nrfX5evK0pLm5uYWn/k4+P3fOrver4oW36318fF4MnxbaiaLI7u4x9XqdUChEv9+nWq1wdHRIq9Um\nEgkRjcapVEocHR24u+sKlUoZ254QChmA7QnanBGgBt1ul36/w97eHqORyczMLKoqEw7HCAaDLC0t\nIYoS/X6PYFBH02Tq9Q7BYJDV1TXy+Tm63S737n3M4eE+7XaLdHqKTqdDq9VmdnaW11//Ew4PD9jf\n36Pb7ZLJZFBVhVAoTDyewLYttre3OT09ZXFxicnEEQcGAk5oiLOT1752gTM+FxdZlr8S5f+n8Yu8\nj8+3lP39Pc/RLh5PsLX1yM3IDtDvDyiXi9RqdUajIclkglu3XkeWHdvYbrdHIBBwVcYbrK6u0WzW\nOT0tEos5piC7uxaBgICiqAwGzv3FYnEikTC9Xp9q1ZlrNwydpaVLXL58mXK5QqdTYzKZEAwGURSF\n4+NjDENnYWGRhYVFtre3KBQK5POzvPRSlnQ6jabppFJpjo4c056ZmRkSiTT1eo1sNsva2mXX4tZy\nHfumCIVCiKLkuo9JhEKhc8lrPj6fx1mGgiAEPv+HXxB+kffx+RZSr9fOOdqdnp5QrVbodjtIkkS5\nfIIgBBEEgVxujhs3XiYQCNBut9A0nWg0TrfbYXp6hmx2inK5xP7+HqGQYwqyt7eLIATI5+eQZZV2\nu8nGxlUuXbqEYRg8eHCfu3c/RlUVFhaWSCQSbgiIwfR0ElUt0my2ePToIboecseLlqnXq9Rqzn/r\n6+v84Af/isPDA9rtFtPT02xvb9FsNhkMhgjCCEWRGY/HxOMJN1jkEaVSGdMc0et1GI9HCEIQXXdc\nyiRJetFvjc83iKWlFarV8nN363ue+EXex+dbhm3bnJycunadc3Q6HU5OjimXHdvaarWKosiEQhEs\na4gkSXQ6jnJY1w0ymSzlcolgMEilUmV3d5dC4cjdeat88MF7mOaQWCzBeDyh1WoSj8dZWlrEMAx2\nd3fo9/tks1mWl7/H8vIKpmnSbrfodNoYhoSmtWm1msRiCTRNQ9d1KpUy+/t79Ps9dF31cshjsRjt\ndotgUGR6eoZWq02pdEI2O42u67RaLWRZ4dKlVUqlMqVSkdPTY4bDIaLoZJeHwzG3yPuiO58vjq7r\n6Pr85//gC8RXmPj4fMsol8tYlkki4aTA7e/vcXh4wGDQp9GoYRg6a2uXabeb1GoNpqam0XWDhYUl\nVlYu0em0qVRK7OzsUKtVqddriKKMruscHu7RbDbRNJ1gMMjOziMmE5v5+Xl03WBnZ4vx2EKSJKam\npsjlHC8M0zQpFks0m036/T7JZJLvfe9P+O53b5HPz3tJcc1mA00LEY+nKJdLWJZFNBpDEAQGgwFz\nc3NIksB4PPbS5gIBgfHYIhQK8yd/8qeEQmG63TaZzAyyrAIBDENHUTS/Xe9z4fB38j4+3yIsy6JS\ncRTtmUyWQuGQnZ1tarUakiQRiyW88/VyuUguN0M+P+cJhKrVCvfv36NcLrmxsCFUVWM8doI3BoOY\nG5cZYDDoEw5HUFUNXTc4ONgDwDCc7O6zCNBisUix6MRxplJpNjaWaDaH7opjTE1N02g0qNVqTE/P\nEAwGefjwAbu7Oxwc7LO0tEw4HKHZbJBMpkkm0/T7PQaDIbY9RtNUms0Gqqq5z8PGNMcIwsR9Djqi\nKKIoqj8+53Ph8Iu8j8+3iGLxhPHYiXltt1vcvn2bw8M9IpEY2WyGublFkskkb731SyYTuHLlulfg\nS6US77zzNo1GE1EMMplAqXRKt9v2AjZ6vR7xeBxd15mdnUdRJPr9Prdvv082O0UkEqPRqHljc7u7\nO16rfX5+gVDobE59eG7dzWaDRCLB+voGkiTRbLb46KMP+OUv/4lo1LGjbTYb2LaFruuMRmOi0Ri1\nWoVWq40kOfa13W6XdrtDMCgQCDgff4qiEAgIboCIX+R9LhZ+kffx+ZYwGAyo1+uIokw8HucXv/g5\n29uPSCZT5HKzZDJZFhYW+ad/+j/Uag1u3LjBwsIitm1zeLjPu+++S6FwSL8/QJYlLGtMt9tGVRUm\nE+j3e6TTUxiGwfz8ArquU63WuHv3I2RZRtdDNBoNdF1nZmaWg4MDLMv0wm+eluFer9doNhvouuFd\ncPzwh3/OyckRh4d7fPDB+6iqytHREbIs0+/3ABtVlZEkEdueMB6PuXfvHoFAgPHYdLsVLSYT3ACb\nAKGQ4c/I+1w4/CLv4/MtoVg8dd3fpvjoow95+PA+0WiMpaVlotEo8/MLnJyc8PDhAyKRKK+9dotK\npcKdOx9y585tKpUqkiQSDkcIBgUkSWZmZprJZMJoZLG4uEQ+n3cNaJo0m3VGowHpdIZOp8NHH31A\nOp1hZmaW4+MjADKZ7DNnhS3L4vj4GEEQmJ3Ne99PpVKsr1/mrbd+xf37d1lcXKLVatLpdBgOHbe+\naDTBaGRSKhWZTAKMxyMmkwnRaILl5Uv89rf/giAIBIMSkqSi66Gv/D3w8flD4xd5H59vAZ1OB3MY\n7wAAIABJREFUxzuXliSZ3/72twQCAZaXLxEOh8nlZgmFQvyP//EmljXmlVde5fi4wG9+8xtXPOcE\nSDl58gr1epVOp8N4PMYwwszPZ5mdnfXO/MHJ2E4mU7z8cpJf//otWq0Gy8urxGJRRqMRmUz2c81n\nDg8PGI8tpqdznj+3ZVkUiyeoqoIkOXPu6+uXuXbtBo8ePaRQOODw8JDJZEI8HqdYPEEUZXK5HP1+\nn+HQmfuPxZLIsoogBFAUCcPQv/L3wcfnD41f5H18vgWcnjrCtqmpaX71q/+PTseZK4/FYp4Zzm9+\n82tKpTKJhONJ/9FHtzk5KTA1lSEcjpHJTLGz84ijoyPvviRJxjAMQqEQnU4bQRAwjBCRSJRoNOp6\n2u8wPT1FOp1C01Tm5xe+0JobjYY3y59OpwHo9Xrs7u4wHlvE4ylu3rxJpeLMzb/22nfpdrsMhwMq\nlSqiGOT11/8Uwwizv79HLBYlHA5jWSamaSIIAYLBAJIkoSgasuzPyPtcPPwi7+NzwWk0Gl4ufLVa\nYXPzIZZlsbS0QjgcYWYmR6PR4Je//CWdTpvXXvsuJyfHjEYjotEotm3T6bR4//3f0ut1URSNK1eu\ns7zstPkVRSESCRMOR895v/d6Pfb397Btm0uX1mi3m9TrdarVCslk6plrtm3buzA5G7OzLIu9vT1P\nOJhMJpEkkVKpQrlcxrZtYrEo2ewU9+7dpVA4RhRFrl27TqlUolqtsrS0QqfTpdfr0ev10TTHgldR\nJETRF935XDz8Iu/jc8E5K5aqqvGrX/0zlUqZK1euMTPjjMc1Gg3+63/9f6hWK9y4cRNVVQgEApRK\nRXZ2thgMBrTbLVRVJ5/P8/3v/4BcLkcoFCYcDn9mzGWn02F/3ynI+fwcsVgMXddpNpucnp4Sjyee\nKXIrl8uY5pBkMund/+GhI9TLZLJks1nAGcczDJ1ut0OtViMWi1OplFEUlVarSavlpHytra1y+7bT\nmRgOTaLRCIbhONwJgvPa+Dt5n4uIX+R9fC4wZ8XSsZK9x8cf3yGRSPLKK68yPT3D4eEB7777DgcH\n++Ryef7oj75Lu93h6OiYkxMnYz4YFFldXWd9/TI/+MG/+txz9E6nw97ejhd8c2b5KcsyqVTadZw7\nYWYm95m/b1kW5bLzuNnstPc82u3WOYU9QCgUJpFIUKmUKZeLbGxcQVU1otEo5XKZ7e1tbt68ycrK\nKnt7ezQaDUIhg0BAwLZBkpzxOed839/J+1w8/HkRH58Lim3blEpFACqVCu+//z6apvDqq6+RSCTY\n3HQMZfb3d8hms/zxH/8x3W6XRqNGvV5hc/MBg8GQK1eu82d/9gP+zb/5t79zgT8jk8kiijK1miPc\n+ywKhQK2bbs/K7pxticEgyJzc+ctRMPhMMlkkuHQpFh0nms0GiOTyTIcOjG6Z2xsXCEUMkgknDUJ\ngoAkSYhiAFX1jXB8LiZ+kffxuaCUSkXGY4tqtcqHH95mPB5x5co1stksh4cH9Ho92u0WkiSTz+dR\nFAXTHNFstvjgg/doNOpMT8/w/e+/zh/90R9/7gx5q9Vib28HcHK0Pyu0QxAEpqam6HY7bG1tUigc\nYlmWd3uv16NaraKqGul0Gtu2OTjY9y4aPl2IHe/wEMFgkFar6ZnxxONxAgGo1SrexcT09DQ3b75C\nNjtFv99DkkQEAQTBEd49bU7fx+ebjF/kfXwuIKZpUqmUOTwscHR0xHDYZ25uHsOI0Ov1CAQERFHi\n9LRIKBQhmUwjCAKWNeLtt3/F8XGBeDzBn//5j3n55Vc/9/FarZZnWzs765zBfxadTsebWz86OuLh\nw4fcvfsx9XoNgOPjAuAo91utFru7O14c7tO6CKFQiHA4xGAwoFqtIssyiUQSRVFpNFqUyyXAucDI\nZrN0u32GQxNZVrBtG0WRURTFN8LxuZD4l64+PheQk5MCBwd7VCoVer0eMzOzwIRgUEDXDVRV5c6d\nO4zHFqqqkkwmCQZFfvGL/8Pu7jayLPP669/nT//0zz63+DUaDa8tPje38JnF+Gy2vVqtApDNZgmF\nDMrlCru7WxSLp2Sz04xGQ6JRjXb7CMsyAUdc9yzDHF03iMeTHB8fUyqVyOfzxOMJkskUJycnFIun\nJJMpIpEIrVaLVssJ0On3e1jWGE2T0bQnxYM+PhcBv8j7+Fwwer0e9+59zNHREZqmMTc3T7VaIRwO\nMzc3Tz4/x4MH99jb22E8HrG0tISua/ziF/+HBw8eMB5PeO21V3njjT//3HPqer3G4eEBgiA8tcA3\nGg2Oj4+xLGf3PDubJxQKYds21WqVk5MCh4dHPHr0EEEIcOPGFYZDy227JwmFnu1EZxgGkUiE4+MC\n1WoZy3J+NxSKEAwWabedY4R4PO5Z8UajEarVErZtI4oymmb8Xq+5j8/XFb/I+/hcIEzT5F/+5dcU\nCieEQmFkWXajXzUWF5dZXFyiXC6zu7tDs1lncXGZRCLB3bt3uX37NqNRj9XVVW7d+p43n/40Hi/w\nCwtLTxRjy7IoFI5oNhsIgkAmkyWTyXqdAUEQSKfTpNNpFhaW2NvbBeDSpUuMRsEv3D53zuV1RFGi\n33d0BvF4glxuhoODPVRVRVU16vW6+xqN3BAbC0EIIkmSv5P3ubD4Rd7H54IwGAy4c+cjTk8dExhJ\nktydapBsdorLl68AjiDv3r27SJJCNjtFrVbnnXd+TafTIpud4fr1G9y8+fIzH6tarVAoHJ1Lj3uc\nVqvlWdLqusHsbP4z5+nPiEQiXL/+EgCJRJhyuf2Fn7cgCG6creZqESrE4wmmpqYRRZFarcqtW69T\nqZQ5Pj7GMAyCQZHxeARMkCTVH5/zubD4ShMfnwuAZVlsb29RKBwyGo1QFInRyETTFObn55mfX0CW\nZer1GnfufEi320VVFaLRKB9++AHFYgVN01hbW+fVV7/7zBb54wV+cfH8Dt62bY6PC+zt7TCZ2GSz\n06ysXHpmgX8e6LpOPJ5wz/4doV02O4Wm6ZTLFQ4PD8hksp4xT6/XwzRNRFFBURwPfB+fi4i/k/fx\nuQCcnBSo12v0ek5ozHA4IJWaYmFhAdseezayW1tbPHhwn8lkwsbGVUqlIo8ebbpn82tcvXqdXO6z\nTWrAMaU5OSl4BV7XPwl1MU2Tg4N9er0usqwwNzd/7vavEl03vB16r9ei0+mg6zpzc3mOjo44Ojpg\nPB57P1+tVhmNRkQiBprm7+R9Li7+Tt7H5xtOq9WiWq2xt7dLo9HAssZks1Ncu3Yd2x6j606AzMnJ\nMR99dJtWq0U+nyeRiPPb375LrVYjl8tz5cpVFhcXn7rrLhaLXoFfXl45V8Dr9Rqbmw/o9bpEozFW\nV9f+YAUenDE6WZaRJIler0+r1UQQBHK5ORKJBP3+wL0I6jIcmgwGPSRJwTBCyLLkG+H4XFj8Iu/j\n8w3Gtm2Ojo44PS1QKp0yHk/I5/OsrKwhis4/72QyiWmafPjhbba3t4hGY1y+fI2PP77Dzs4WkUiI\nK1euMTub92xkP02xWPQiW5eXV7wLAdu2OTzc5/DQGaHL5WaZn1/4g8+ci6KILCvousZoNKJWc+bu\nw+EQ6XSGRCKBaQ6x7QmdThvTNIlGYwQCAYLBoG+E43Nh8Yu8j883mJOTAt1um729fQIBgdnZWfL5\nOXK5Wer1OqIoEw5HuHfvLru7OwwGA/L5PNFolF//+lcEAgFee+0W2WyW6emZz9zRnp6eeAV+aWnp\nXK77zs429XodVdVYWVn93HS5r5JwOISm6QSDItVqBdu2iUQi7ljfhHA4wmQCkiShqiqapgECsqz4\nRd7nwuIXeR+fbyidTodqtcre3i79fh9d11lcXCKdztJut7Ftm3g8zv7+HgcHexQKB2SzGb73vdf5\nX//r/6XT6bCxcYV4PEEmkyGTyT7xGMfHBUqlIqIos7LyyQ7eNE22th557fk/hLju89B1A13XmUwm\nDIdDWq0W0WjMU9+LokwwGMCyRui6QTAoIUkCiqK80HX7+HyV+EXex+cbiNOmP+T0tEi1WgZgaWkZ\nXTdIp9NUq1UEQXDDXU7Z3d0BAly6tEqlUmV7extd19nYuEIqlSadzj6xmy0UDqlUysiywsrKirfL\ndwr8lhcF+yLa85+FYYQQRZFAAEYjk16viyAIhMMRN2veKfi6bmBZJsHgBEmS/qDaAR+fPzQv/l+m\nj4/Pl+b09IR2u8XxcYFer08ymSKdzjA3N0+z2cCyTEajEc1mg/39XYbDITMz08zPL/Pzn/+UwWDA\nK6+8hiRJRCJR0um0d9+2bbO/v+cFxaysXPIKfK/XY2try8t1z+XyL+oleAJZlpFlRylvWZYXTBON\nOj76k8mYy5evous6lmUzmeC73flcePwi7+PzDaPX61EqFdne3mI8tgiFdHK5HNPTOVRVpVqt0mq1\nME2Tk5MCtj3BskbkcvMcHOxwenpCJpNlZmaGRCJBNpvxduK2bbtueA103WBpadnb4Xc6HXZ3d7As\nk+np3DP95F8UhqEjSSK2bdPpdLAsi0gkQjAo0mg0GQwGDAZDRDGIIAQAUBRfWe9zcXlmkf/5z3/O\n0dGR9/V//+///StfkI+Pz9P5pE1/ynhs0+v1iMVS5HKzZLNZ95y+TLfbodVqEQwG6XS6TE3lmEwm\n3L59m0AgyMbGFWRZxjBCnljuTEjX7XYIhyPnCvxZjOx4bJHPz53b+X+d0HUDSZIJBASGwwGdTgdB\nEIhEwozHFsXiKYNBH03TmEwCBIMCiuJb2vpcXJ5a5P/6r/+ag4MD/vf//t9ecX/rrbf+YAvz8fF5\nklKpSKVSplwuuurxGMlkkoWFRQAKhSNOTk4YDh1x2Xg8ZjRy7Fvb7Ra1WpV0OsPMzCzxeIJs1hHb\nmabJzs62J6R7/Jy90Wh4MbJPy4n/umAYBpIkIQjOc+p2HXvcaDQOQLvdot8foKoagQAEg0Hf7c7n\nQvPUuZFQKMTf/M3feF//7Gc/o93+4n7SPj4+z5fBYEChcMTBwQGKotHptIlEoqyvX0ZVVXq9Hg8e\n3KPT6TE/75yVW9aIQMBmNBpSKhXRdYPFxQV0XUNRFKLRmCeksyyTZDJ57pz9zML2WSlzXyec0Tid\nRqOOZVm02865fCQSQRRlLMvENE0URSEQEAgGfSMcn4vNU3fy/+E//Idzrfof/vCH/PCHP/yDLMrH\nx+dJDg72KRSOgAmCEEBVVdLpDLlcDtu2uX37fVqtBqGQQTyeQNNUDg+P6HS6KIrGYDBAVVXm5hYI\nh8MYRojBYPBUIV29XvM86peWVr72BR6csJpoNIplWQQCAUxziGVZAMRiUWzbRhACCIII2EhS0C/y\nPheapxb5fD7P7Oz5qMmf/OQnX/mCfHx8nqRcLrvz8D0ikajbclZ56aUbgKO2PzjYYzAwWVpaIhKJ\ncnx8QqNRIxgUGY2GQICpqRkSiTiSJCGK0lOFdK1Wy9vBf9qj/uuOYegEg0EmExtwWvQAiUSSwWBI\nKGQgiiKjkYUk+UY4PhebL/TX/eabb3qt+slkQiAQeOJnJpMJ0WiUv/iLv3i+K/Tx+ZZjmiYPH96n\n2WygaTqDwQBFkVlYWCAWi9HpdHj48AG1WpVLl9aYm1vg+PiY+/c/ZjgcsbIyS6lUAiasra0hihKj\n0Yh6vQo4VrSPO9V1Oh3vDH5h4ZtV4AFUVUOWJUzTwrZter0u8XjC7WLMUamUkSQRy7L8HHmfC88X\nKvL+Dt7H58Xx6NFDSqUikiQSCoWoVMoYRoTV1Q0sy+Lg4ICjoyNisTirq2sAbG7ep1qtkkgkUBSd\ndrtFPJ5gZmYG0zQZjYZIkvREge/1euzt7WDbNnNzT+bEfxPQNB1RVBiPLUajT87lAfr9PgCiGGQ0\nsjCMb97z8/H5MnzpOfl//Md//CrW4ePj8xkUi6dsbT1iMoFYLEmz2UQUJRYXFwmFQhQKR9RqVSxr\nRDrtnKkfHR3x4YcfATbr6xs0GhVM02R1dRVFUVy1vePZ/niBHwwG7O46Bf4sd/2biK7rqKqMZY0Q\nxSCmOWRz8yHFYpF+v4csKwwGQ/dnfSMcn4vNly7yrVbr3NePi/N8fHyeH6Zpcvv2B4xGFrFYnG7X\nsWlNp9PMzuap12s0mw1KpSKhUIiVlRV6vR63b79Po1FndnaeeDxOqVQiEgmzvn6Zfn9Io9FwRXvp\nc4+1s+PMwedys1/rMbkvQjgcZTAYEolEXYFhn2LxBNu2MQynsxEMChjGN+sowsfny/KlFSeHh4e8\n8cYbhMNhJpMJhUKB3/zmN1/F2nx8vtV89NEHtNttotEoohhkMhkjywrZ7DSqqvLo0SbD4ZDRyCQc\njjA/v8ivf/0WW1uP0DSV9fUNTk+L9Ho9vvOdVwmHIzQadcbjMbKseoX8zATHskyy2ekXmiT3vIjH\nnS7EYNDnypVrWJZFs9mg1+uSTmfZ3d1x0+i0F7xSH5+vli9d5H/0ox9x69Yt7+u33377uS7Ix8cH\njo4O2NvbR9N0YrEYx8cFVFUjlUqRTqc5ONhnPLbodrvuiNsyhUKBnZ1NGo066+vrZLNZPvjgPTRN\nZ21tHdMcUq/XCYVCJJNJBEHwCrxpDslksp45zjedSMS5MDrrPIqiSDKZIplMYZomg8HQi5z18bnI\nfOl2/U9+8hM6nQ75fJ5Op+OL8nx8njO9Xo/3338fQQgwMzNNsVjCMEIYhjPbbpojer0uiqK6rXeF\nhYVFHjy4z/b2DolEgsuXr7C/v0un02F5eZl8fo56vU6n41jWptNpbNtmb2+XwaBPMpn8WnrR/65o\nmo4kSbTbLWzbPnebaZoMh0NkWfaLvM+F50sX+b/6q7/iv/23/wbA7Ows//k//+fnvigfn28z7777\nG0zTZG5ujlarxWRiEw6HiURCGEaIYvEEUZTp9/tYlsXi4hL1ep1C4YB2u0U2O00+P8fW1haKIrGx\ncRnbtimVSufO4nd3dzwb269TmtzzQFVVZFllMBhgmua524bDAaORia77ynqfi8+XLvI/+tGP+N73\nvgdAOBzmpz/96XNflI/Pt5UHDx5QLpdJpVIoika1WiGVSqMoKoIgen4ViUSCQqGAoigsL19iZ2eb\nR48eEY3GuHHjJpubD6nXaywsLLKwsES9XqXZbBCJREml0jSbDS+IZn5+4cU+6a+ISCTsdj16577f\nbrex7QmhkK+s97n4/E5Rs81mk/v37/N3f/d3TCaT570mH59vJY1GgwcP7qGqCvPzi+zv7xMKhUkm\nUwhCgNFoiGWZpFJpGo06/X6P+fk5BoMB+/s7dDptpqammZrK8vDhQ0RRZmPjKqFQyJ2CmTA7O4so\nipTLZcAxwrmoxGJRAM/054wzB7yznHkfn4vM73Qm32w2+Y//8T8C8F/+y3957ovy8fm2YVkW9+/f\nxbIsVldXOTo6wLJMFheXGI1Mer0+gYCAqmqEQmGOjg7QNJW5uUUODnbZ3d3BMEJsbFxhe3ubarVC\nPj/H8vIlOp0O5XIJwwiTyThxtINBn3A4cqF92yMRp4h/euzXGUUMEAqFX8SyfHz+oHxpdf3Pf/7z\n/5+9O/lxJLsO/f9lMBicp+TMnIfKGrKqepAs/9qy31v4obXQyjDkv6ANbw3ISwOGFl7ZgPeGYa9l\nr21YDfunh4enX0NSq7vVVZVVlXMmk/MQHILBYDAY/C2YGV2pruqu6po6WfcDCEgxM5mRzC6euOfe\ncw4ffPDBhQl1giA8n0LhhHq9RjqdYjSyzz7OEAwG6XQ6mKZBKBRkaWmZk5Njut0uy8sr+Hw+Tk4K\nNJtNFhYWyWYz/Pzn/43bLXP9+haRSIR79+5imiM2NuZRFIVyuQQwE6VyXyUen0OSXHQ6nQuP93o9\nZFm+dO16BeGbeOaV/MnJCf/2b//Ghx9++DKuRxDeOM1mg1KphNvtJpVKc3i4h8ejcOPGTdrtDvV6\njXA4QiaTwzAMyuUSgUCA+fkFqtUyR0cHZ6Ngl2k0mpRKZXK5HFevTlvcHh8fIctu1tbWz8avdlEU\n76WYKvc8fD4fXq/vwohs27YZDHQ8HmWmsxiCcO6Zg/wHH3zAj370IxYWFnj//ffF6XpBeA7nQbvb\nnZ6Kr1QqGMaQK1c2mUxsarUKiuIhFouTSqWo1ap0Om1SqTRzcwkODw8oFstEo3Hm55d48GAblwuu\nX79BLBajWDxF13VyuWkDnUajjm3bM7+KPxeJRBgOh07KXtd1THNEJCJS9cKb4ZnT9X/5l3/p3Bn/\n+Mc/FjPmBeEbsm2b09MCmtYnHA7hck1nuMfjcTY2rnD37h3a7RYrK2tnde4tWq3WWVOcFJ1Oh0Lh\nlOFQZ319FZhQLJ6QTqe5du0GAAcH+8B0mpxt27RaKpIkkUgkXuNv/upkszmq1Sq7uw/5znd+j35/\nOqxG9KwX3hTPvJKfTCZ88MEHvPfee48dOSsIwtOp1aroeh/LsohEIqhqC9uecO3aDTqdNicnRwQC\nQVZW1pAkiXK5QrfbZm4uQSKR5OTkiGLxhGAwSD6/wMHBLpY1ZnPzBslkkm63S7PZIBwOkclk6XTa\nWJZJPB5Hkr5RYc2ls7q6hs/npVAoYBgG7XYbmHbEE4Q3wTP/S//bv/1b3nvvPSKRCH/3d38nptIJ\nwjegaRq1WhXbtgkEAoxGI7rdLtFolFwux/b29LDc+vomsViMZrPJYNDH5XITiUScLECrpZJIJAkG\ngxwdHZJIpLh16yYAJyeHWNaYlZV1AJrNaSlZIpF64nXNGlmWWV1dw7Is9vf30PU+wKUcoSsI38Qz\np+v/5E/+BJfLxQ9+8AP++Z//mcXF2eqUJQgvm23bnJycAODz+THNIZVKE9uesLl5jWKxSLVaI5GY\nY3V19axbXZVer0sikSCRSFAulzg9LeByQTabpdVqMhgM2Np6i0wmi2EYlEplfD4/8/Pz6LqOrvcJ\nBkNvXCvX9fUr7O3tcnR0SCAwHUhz2afsCcLTeuYg/+d//udO/3pxNywIz65YLGBZJtFolE6nw3Bo\nousakUiETCbDz3/+/yJJLm7dehtJkqhUyoxGIyRJRlE8+P0BCoVjarUasdgcyWSGzz//lEgkxq1b\ntwAol0voep98fp5QKEShcAzMftnc4/h8PpaWltnf32cwGKAo4mS98OZ45nT9zZs3+d73vscf//Ef\n8/7773P//v2XcV2CMJNUtYWqqvh8ftzu6T22pnWwLIu1tVX293fp9zUWFhZJJpNYlkWjUUfXdSKR\nMPF4HFVtUioVMYwBc3MJxuMRqtoml8uxurqGaZqUyyUkSWJhYfFszGoHWVaIxd7MLm9XrlxFlt0A\nBIPi0J3w5njmIP/Tn/6U//7v/+aXv/wlH374IXfv3n0Z1yUIM8c0TUqlafDN5+dpt1WGQ5NeTyMU\nChIMRjg5OSEY9HPjxnRf/Xzf3u2WkCSJeDxBoVCgXK7i9wdIpTKcnBzj9Xq4du06kiRRr1fRtC5z\ncwkikSjNZvOsbO7NOFH/OKFQiGw2f/axCPLCm+OZg/wf/MEfEA6LGlNBeFaFwgnjsUUmk6Pf72Pb\nNr1eF9Mckc/nOT09YTg0WF5eIxQKYZomrVYTyxrj9XoJBkP0+32KxRK9Xpu5uTm8Xg+VSplkMsnV\nq9exLItms4lhmMzNJQmFQjSbzTeqbO5Jrl27TjQaI58X54iEN8cz78nfuXOH09NTFhcX+cUvfgHA\nj370oxd+YYIwS6rVqjP1LZFIcP/+Nrqun51tCeJyuWm1miSTKfL5+bPvKWPbNoricRrYnJycUKmU\nmEwgFoszGOiMxzYrK2tEIhFKpSKaphGNRonForTbX5TNyfIz/3OfKbFYjD/6o/8h9uOFN8ozr+T/\n6q/+islkwr//+7+zuLjIT37yk5dxXYIwM3Rdp16v4nbLTlOb8djCMAaYponf78cwBrhckE5niMVi\nGIaBqqrI8jQgybJydgiviKq2iMWiRCIRDg/3icWiXLu2hWVZtFpN+v3pjPhYLE6z2QDerLK5r+Lz\n+d6YHgGCAM+wkt/e3uav//qvWV5e5h/+4R9e5jUJwsyYlssdY9s2KysrzphXwzDQtD5ut4TX60PT\neiSTGdLpDADVagUAr1eh3zdJpRLU6zVKpVNMc0gikcTlcqHrOhsbmywtLVGv17EsC0VRnGDW72sE\nAkExjEUQ3lBPfUv7j//4j/zFX/wFW1tbol+9IDylcrl4FpQTRCIR2u02pjmk39fRdR2Q8Hg8+Hx+\nAoEAsVgMXdfpdNoEAsGz0jmJcDhMuVyi1VKRZQ/RaIxyuYzPF2Bra1o2Nz2Fb5yt4mM0m9OZ8W/6\nXrwgvMmeOsgvLCzwgx/8gA8++ABVVV/mNQnCTJi2lW2iKF5yuek++zQQDzAMHdMckkzOMZlMCAaD\nZDLTVfz5KFi/f9ooJxyO0G6rzrCZWCyKonhpNOrMzc2xsXGFbrfLeGwhSRNnVvp5uj8afTPL5gRB\neIYg3+v1ePDgAffv38flcjkf/83f/M3LvD5BuJQsy6JQOHFGwEqShKZp6HofXe+jqioej0w0GkNR\nFGRZIR6fo9vt0u9rBIPT0/Uw7c5WrVap1xuY5hCfL4hlDZEkF8vLK2cn6BvYtn02QtXLYDDAtm3m\n5t6cPvWCIHzZU+/J//SnP+U///M/mUwmzv+HafAXh+8E4aJHy+XO98Pr9Rq6PmAwGKBpXa5cuU4g\nEEDXdTKZNDCtiwecATQ+n5/hcMjp6Sm6rhEOhwmFghQKJ4RCEW7duo1pmvT7GuPxBI/Hc5aqbyBJ\nEsmkOHAnCG+ypw7y//Iv/8J77733pcc/+uijF3pBgnDZ1et1er0uwWDIScEbhkGv12Uw6FMulwgG\nI6ysLNPv9y+s4nW9TzgcwTAGwHQ/vVqtUamcYhhD4vEEsqwwHI5YXFwhk8k6NwbnQyElyY1pDolG\nY2982ZwgvOmeOo/3uAD/VY8LwpvIMAyq1bJTLneuXq8yGAxoNJpnDW+W8Xp92LZNKpXR7NAtAAAg\nAElEQVRCkiQnWKdSaZrNJm63jNstn42k1ZFlN6FQgEajht/v4/btW0iSRKulYts2suzG5/M7M9Pf\nxD71giBc9FS3+f/6r/9Kr9dzUvWPOp8pP5lMiEajojGO8MZ6tFxucXHBabpimiaqqtLpqNRqVeLx\nODdu3KRcLuF2yyQSCWe/PhgMMRqZjMcWyWQKVW1RLk9X8cFgAL8/QKlUJJPJsbZ2xWl2I0luYILf\nH0BVm/h8fjFAShCEpwvyf/Znf/ayr0MQLr1KpYxhDIjH4xdGmTYadQaDAZVKBZhw9ep1RqORs2c/\n7TdfAyCTyVKplAEIhcKUSkVUVWU0MolEImdT1Dysr2/g8/mck/gul4vJZIJtW4AomxMEYUocuxWE\nF0DTNBqNOrKsMD//RW/08y505XKRbrdHJpPl6tXrNBp13G6ZVCqFruv0el0CgSCSJDkrek3rUSwW\nMc0RiuLF7w/SajUIBIJsbd3Esix6vS6S5GYysfH5/GcNdmQxL10QBEAEeUF4bpZlcXJyAsDS0tKF\nkrVms0mn06VSqSFJcPPmLQaDAeOxRSKRuLCKT6czTgObeHyOZrNJtVphMOjj9weQZYnRaEQmkyed\nnu7bA2ep+ulqfjy2iMdF2ZwgCFPinUAQnlOxeIplmaTTmQv74LZt02jU2dvbYTy2WFvbIJvNU6/X\nnfI2wzDodNrOHvr53PfJxKZWqzIejwAJWZZpt9v4/QFu3Zp2uFPVlhPMJUliNJqm6kXZnCAI50SQ\nF4TnoKotpwXted/5Rz9XKp0yGOh4vT7W1jYYjUZYlsncXOKsj/35ifoU3W4X27aJxaYz4IvFUwaD\nIT6fQjgcRNP6RKMRVlfX6Ha7mOYQj0fBskxggmWZhMMRMWVNEASHCPKC8A2ZpkmxeIokSSwsLH4p\nRX56esrh4SEul4vNzU0SiYSzik+nM5imSafTQVG8xONzdDptAGTZQ7utMhjoDIcGsuzBMEw8HpnN\nzasoioKqtoAvUvXnq/hUKv0KXwFBEL7tRJAXhG/ovFwul8vj8/kufK7VanFwsHO2R54gmUxj2/aF\n2e71etWpk7dtG03TkGWFwUDn5OSE8XiMyyXh9wfODub5nZGyvV4XRfEyGo0YDk1cLolgMCTK5gRB\nuEAEeUH4BorFgtOd7nFNZ3Z2HlCv1wmHoywsLJBIJJyDcqlUBsuynAEy8fgcmqYxHlv4/V5UtUWr\n1UTXDbze6c3DeGyTyy0wNzeHqk6b3yjKNFU/HptIkkus4gVB+BIR5AXhGdXrdWe63KNd7c5VKhWO\njg6YTCAcDhOJRJDlaavZeDyOoig0GvUL3e56vQ4wTbtXKlXAhWWZKIrMcGji8Xi4efM2gNOX3uVy\nYZomti3h8/mJRCKv8mUQBOESEEFeEJ5Bu92mXC7idsusra1/qTe8bdtsb39Ot9shk8mRSCSYm7u4\nirdt22lbe960ptPp4XJNS+Sq1SLDoY6iTNvUGkafeDzOysoKmqZhmkOCwRC6rqNpGqFQgFRKnKgX\nBOHLRJAXhKekaRqnp9Pxsaura489xX54eEitVsfvD+D1eolEIng8HgxjQDQaw+fzUa/Xnba15yNo\nLcvE5QJVVRkOLXR9gNvtZTQycbncXLt2DVmWUdXpzYIsexgOh0wmtpPyFwRB+F0iyAvCUzAMg+Pj\nI2zbZmFhyRkf+6hut8v+/g663ieRyBAOh4nH43Q601R8KpV2auclSXJW8d3u9POWNaZUOj17NheK\n4sUwhvj90wN3tm07dfS2PabdVgkEgmIVLwjCE4kgLwhfw7Isjo4OGY8tcrl5YrHYE77mgFarRSQS\nRZYlIpEIiuJ1DugFAgGazSbjseXUycP05uC8l72qqgwGfWTZg6K4GY8tlpdXiUQiqGrLqaPvdNro\nuk4oFBZ96gVBeCIR5AXhK9i2zdHRIaY5JJlMPXHVXCyeUq/XkCQXkUgEn8931n9+OvY1k8li2/aF\nOnmYZghMc4hlWVQqJSRJZjg08PkUdN04O3B3E8DZ13e5JFqtFoFAwGmNKwiC8Dji3UEQvkKhcIKu\n94lGY+Tz84/9mvOSN03r4/P5cbmmgd7vD9DvawSDIQKBAJ1O+0KdPEC7PS2HG49tisUyo9G0HM7l\nkhmNTBKJJAsLi+i6jmEMCIcjaFqPTqdNLBYXLWwFQfhKIsgLwhOUSkWnZe3jSuVg2vWuVCrR7XaR\nZTderxev10cgEGQ4NIDpKh6gWj1vYftF+9tut4umafT70xW/YQzweHxMJmPAxfXrW0iS5By4C4VC\nZ3PoPWQy6S+d7hcEQXiUCPKC8Bj1ep1Go46ieFlZWX1iSrxQOGE0GmHbNqORiSzLRCIRgsGgMz42\nFArRbrcv1MnD9AbBMAZY1ohyuYQsT0fGut1uxuMxgUCAa9euY9s27fb5gbsJ7bZKOBy6cLMgCILw\nOCLIC8Lv+Lpa+HP1ep1+f9qpzrbHBAIhFEVBUXxY1rSX/Pnee6325VV8p9PBNE0GgwGa1sO2J7hc\nEmBjWRYbG+tOmn88tojFopyeFjDNEQsLS2IQjSAIX0sEeUF4hK7rTi388vLKEwNpt9ulWi3jdstI\nkpteb5quD4cjhMNhZ3xsJBKh2+06++mP9rjvdNp0Oh1arRahUAjbHgMwHI6QZZmtrfMOd9NUfSAQ\npFIpEQwGmZ9//PkAQRCER4kgLwhnTNPk8PDAqYV/3LAX27YplYocHU2/LhwO02o18PsDKIoXj0fB\nti+u4uv1GvDF3jxMS+40rYeu63Q6HXy+AJZlYZpDJpMJ6XSaTCaLYRjoep9gMESz2WAwMB47EEcQ\nBOFxRJAXBKZB9+Bg/ytr4U3T5OBg39mr39jYdIK0x+MjFAoRCgWd8bGxWMw5VHd+wv5cp9NG07Sz\n5jYefD4vpmmg6zqy7ObWrVtIkkSrNV3Fz83NcXi4jyS5WFtbf2WviyAIl5s4miu88Z6mFl5VWxSL\np9i2TTQaY3FxCV3XKRYLBAIB/H4vsixj2xMAMpknr+Jhmu7vdFQ6HZV0OnM2PraPyzU9Qb++volt\n26iqitstMxpZtNsdUqmUGEQjCMJTEyt54Y13XgsfDke+VAtv2zaFwjGFwgkA8/MLLC+vIEkS5XL5\nbNXuw+/3O3XxiuIlHp9D1/ULJ+wffU5VbdFstnC5XKRSGVqtaa29z+fn+vUtfD4f3W73bB59nKOj\nAwDW1jZe3QsjCMKlJ1bywhutUik7tfDLyysXPqfrOicnx5jmEJ/Pz9LSsrMXrus6hcIxXq+XYDBw\nVmLncsbHwher+N9tWNPptFFVlXa7TTweJxAIUKkUMU2dVCrNW2+9A0xHysL0wF2xeIrP52dxcfEl\nvhqCIMwaEeSFN1az2aBWqz62Fr5er1OtlrFtm0QiQS43f+HzR0dHtNsqiUQSr9eL3x846zk/nQhn\nmqZzwv539/enJXolLGtENpun1WpQKBSJRiPcvv0WoVAI0zTp9zUCgSC1WpXx2ObKleVX9toIgjAb\nLkW6/mc/+xmnp6df/4WC8JS63S7F4ilut8zKyqpTC29ZFoeHB5TLRVwuiaWlFebnFy8E+Gq1SqFw\nRCgUfuwqXpIk6vXzuviLq3jbtqlWKzSbTUKhCPl8nu3tbfp9jeXlVW7cmPapPz9wFw6HOTo6wOOR\nWVpaefkvjCAIM+VSBPk7d+7Q6/Ve92UIM2Kahj9yauHPU/CaprGzs0Ov1yUYDHHlyuaXVuGGYbC/\nv89gMCCdTiPLnrPZ7gPcbplEIoFpmqiq6uzNP0rTNEqlIoahk82mGY0MDg728Pv9vPPOd5y9+1ZL\nRZIkRqMRmqaRTKbFgTtBEJ7ZKwvyhULhG3/v48qZBOGbME2To6PpXPj5+QUnqFYqZQ4O9rAsk3Q6\nw/r6xmMb4RwdHVKtlkinp/PiJUlCktzYtk0yOV3FNxr1C3vzj6rXa5RKJTweLwsLy2xvP6Ber7O0\ntMzt228B03S+ZZlEo1FOTqaNeVZXV1/uCyMIwkx6JUF+e3ubP/3TP73w2N///d/z4Ycf8k//9E+v\n4hIEwamFtyyTTCbn7J3v7e1Sq1WRZYW1tQ2y2dxjv79er3N4eIDf72d1dZ3BYIAkyYzHFm63TCqV\nwrIsWq2mszf/uw4P91HVFtlslkgkyqef/gaPR+b3fu/3nBsOVW0BMJmAqqqEwxHm5sTMeEEQnt0r\nCfI3bty4sBr/2c9+Rjwe5/3336fdbvPhhx+iaRofffTRhf8Jwoti2zbHx0eY5pBEIkEmk6HdbrO7\nu+OUz21ubj62yx1MMwAPH95nODRYWVnFti1s20aSJMZjy5nrfr6Kf9ycd03TODk5YTKBpaVVDg/3\nqFYrpNM5bt9+1/k5vV4Xn89Pt9thOByIDneCIHxjr+x0/WQycT7+j//4D374wx8CcOvWLX7xi1/w\n/vvv89577z32ewuFAoVCgevXr7+SaxVmT7FYoN/XCIcj5HLzFIsFms0mkiSRy80/NrX+qKOjQ2q1\nKul0hnx+gaOjg7OpcBaSJJFMprBtm2az6azqf1ehcESlUiGVShCLRfjFL/4P47HF1tYNstlpsxxV\nVQFwuVw0m03C4SipVPrFvyCCILwRXksJXa/Xc+p9I5HI156c/8lPfvIqLkuYUZVKGVVV8fn8ZDJZ\n9vZ2MYyBUzr3datkVW2xu7uL3+/j+vUbTv2716vQ75skkylkWaZarTIeW6TTmceOpr137x663uet\nt96i1+txcLBLKBTie9/7f5yvV9XW2YE7i15PI5vNEI/HX/yLIgjCG+GVBXmXy+V8HA6HnZV5t9tl\nYWHhhf6sVCr8Qp9P+PZ52r9xo9FgNNLIZOIkk0kqlTJ+v8TCwhKLi4tPnBN/zrIs7t07xOuF27ff\nIp9PoOsq8Xia0WiEzxdma2sDSZKoVg0SiTDXr699aTxtu92m2ayQSERZWZnn888/x+Nxc/36dW7e\n3CSVCqNpGsGgjCz76Pf7JJNhNjaWyOXevCAv/g3PPvE3fjVeS7r+hz/8oXPavlAo8P3vf/+F/qx6\nXZTbzbJUKvxUf+Nut+u0g/V6x1Sru7jdMvl8nkBgjmaz/7XPsbPzkIcPD0il0szN5fntbx9gmkPG\nY5lut0MikUBVBzSbDapVlWQyhaoOvvQ8//f//oJSqc7KygqNRo9PP72DbcPm5hbDoYt6vUexWEBV\n+9j2hFarSSgUYjyW37j/np/27ytcXuJv/GJ91Q3TKztdf3p6yv379wGcA3c/+9nP6HQ6vP/++6/i\nMoQ3iGEYnJwcYRgGo9GI4dAgEAhy5crmY0+9P0673WZn5wFer5dbt95CVVVMc4jfH0DTerjdMpnM\n9CR+tVpz9uYf58GD6c1BKpWmVqsyHE4/zuUWnO2CdruDaY6A6UHBQCDw1NcqCILwOK9kJX/jxg0n\nwJ/78Y9/DMAPfvCDV3EJwhtkOhL2gHq9gccjE4lESCZTZLO5r03Pn7Ntm88//y2GMeTmzZuEQiEe\nPnzg7Jfbts3S0hKyLKOqLSzLJJFIPLa2/uBgn0qlSCIRx+Nxc/fuDooic/XqVeLxKIAzjGY8HjEe\nWwSDQcLhyFNfryAIwuOIdxBhpti2zd7eHoeHB7hcMDeXZGVljXx+/pkC5v7+vnOafmNj86x/vIXL\nJZ01qok5ZaHV6nkL28xjn+vevTsMBgMikTjdroZhDAmHw+TziwSD0zRbp6NiGAbjMYxGI4LBINGo\naAIlCMLzEQNqhJly9+4d9vd3CQZDLC+vsLi49KVDcF+n2+1y//5dFMXD7dtvYds2rVYT27aBaeOb\n+fnpYdF2u41pDolGY49dxWuaxt7eDpPJmFQqRbVaBlykUllisRiRSATbtul2e7TbbbLZLMPhELdb\nFm1sBUF4biLICzPBtm0++eRjjo6OCAaDvPPOd7629v1Jz/PZZ59imiNu336LWCzG8fG0De5oZOH1\nKszPLzg3Do1GHYBMJvvY53v48D7tdptwOEK/32c0GhMOB0kk5px0fLvdptNp43ZLuFxuvF4vsVhU\npOoFQXhu4l1EuPQMw+CXv/yIo6MjwuEQf/RH//MbBXj4Ik2fSqXZ2LiCpml0Om0GgwFer3IhTd/t\ndp1ueY+rtbcsi7t379LraSSTGUajEYZhEIvFSaUyhELTVL2qtmg06gSDYXw+LwDR6JtXNicIwosn\nVvLCpaaqLe7f36ZUKpFIzPHee3/4jVvAaprGvXt38Hhk3nnnXSRJolQqYpomLpcLWVacND3gNMV5\nUke6o6PpyFpFkXG5JkiSi1AohMfjJRwOE41GsW2b09MTAHK5LL1eD1lWntheVxAE4VmIlbxwKdm2\nTaFwzM7OA2q1Ctls/rkCvG3b/OY3H2NZFtev3yASiaCqLQxjgKZp+Hw+8vm8k6bXNI1+XyMYDD0x\nIO/t7VGplIhG40iSzGQC8Xgcv99HIBDE5/PRbDZoNpvEYjHcbtnpey8IgvAiiJW8cOnous7OzkM0\nrUez2WJ+fpGrV68/1xCXg4M96vXaWZp+E9u2KZcrtNvq2ar7izT9dPU9beb0pL34arXC/v4ukwl4\nPB7C4fBZ6R0kk3OEw8Gzn7uPZY1ZWlqh0+k8se+9IAjCNyFW8sKlUq/X2dnZQdd1+v0++fw8a2vr\nz3USfZqmv3shTV+rVdF1jfF4jN8fvJCmr9WqzjS7J63iDw4OOD4+IRgMOdcWCoWQZYlIJEI4HEXT\nNMrlIoFAAK/Xd2GanSAIwoswcyv5drtNuy3aJV4Wk4n91F/bbrfp9bokEmEmE5t4PE46nSGRSD7X\nNfzmN79mNLJ46623iUQimKZJo1GnWq0xPz9/IU1vGAaNRh1ZVsjl5h/7fJqmsb+/i6Z1SaczzM0l\nicfjdLsdvF4vPp+PSCTCZ599imXZXL26Rqs1nV73pI55giAI38TMBfmDgwNU9et7kguXUzAYwuv1\n4vF4iMfjZLO553q+vb0d6vU6yWSSK1c2AahWyzQaDSKREInEnJOmBzg9LWDbNgsL+SeuuI+PD9nb\n28XvDxAOR/D7vciyB9ueEAqFCASCZ6v4Mn6/j2AwSLutkk5nnrmmXxAE4avM3DtKPp9HUbTXfRmv\n3SymfGXZja73GQwGBIMh5ucXn+v5Hk3Tv/vud4Hpfn+1WqXf77O6un5htV6v19H1/oX9+d9lmib3\n72/Taqn4/V7S6QzpdI5OR8XtdhMKTdvVnp6eMhjoXLmySa/X+8q+94IgCN/UzAX5bDaL2y3S9bOo\nWq3SbDbJ55PkctnnvpE5T9Pfvn3b2Tcvl0uUy2USidSFNL1pmlSr5Qvd7h6nWDzl4GAPl2u6ak8m\n54hEIhSLp3g8bvx+P6ORSb1eJRKZZiVMc+jMpBcEQXiRZu5d5fDwkGbzxazkp21MhW/L69Dva8iy\nwvr6Op3O8Lmea39/7yxNn2Bz8xow3fMvFE6QZZnFxfkLq/Vi8RTbtpmfzz8xGJ83v2m1WrhcbhKJ\nFIuLK3S7HSTJhaL4cLtlut0emtYnnU5hmkMkSSKdfnzfe0EQhOcxc0FeVVU6HbEnP4tkWWFlZeWs\nR/w3D/KapnH37ud4PDLf/e7vA9MbmePjI1qtJmtrF9P0qtqi1+sSDIa+8pBfo1Fnd/chw6FJIOAn\nk8mRSCS5f/8eHo9ytoofno2r9QEuAObmEmIVLwjCSzFz7yy3b9+mXn9z0vWzuPf+JC/qd/3Nbz5m\nNLJ4++23nRK4arXKyckxkUiElZU1J+halkWpVEKSpK9M0wN89tkndLsdXK4JkUiEra0b6HofXe/j\n9Xrxer3o+pDJZEwsFmc4NPD7fWIVLwjCSzNzQV6WZbEqEp5od3fnrOlNio2N6Wl6y7LY2XmAZY1Y\nX791IU1fLhcZjy0ymdxXNtupViscHx9hGAPcbg/z83mWlla4f/8eLpcLj0dBVVVSqRSjkYWm9QiH\nw8TjcfHfqyAIL82bswwU3ni6rp+lzmW+853fcx4/Pj6k2WyQTGZYXFxyHu92u6iqis/n/9oudNvb\n29TrNcbjMaFQmFu33qbf76NpGn5/gNHIxDRHyLIHn8+LZZl4PJ4nzqAXBEF4EUSQF94I0970v8I0\nR1y/ftNJ0+u6zvb2NrIss7W15ayqbdumVCoCkM/Pf+VWQa1W4/BwH8MwGI8npFIprl27QafTRtP6\nSJJEv98nEPDj9/vodrsoio94PP7YGfSCIAgvigjywhvh8PCAarVGMplkY2PDefzu3c8ZDoesr19h\nbm7OebxSKX9t69pz9+/fQ1WbWJZNIOBja2sLSZLo9bpI0gRdH2BZY7LZHJY1pt1WCYXCYhUvCMJL\nJ4K8MPO63S737t1BlqdNb85X5ZVKhdPTApFImKtXrzlfr+v617auPVev1ygUTuh2NSYTm0wmx+bm\ndVqtJprWw+8P0uk0cbslstkcjUYdj8dDIjEnVvGCILx0IsgLM822bT777FNMc8SNG1tO0xvbtvn8\n88+w7Qm3br114fDb+YS5hYWFrz3Rv729TbfbwbLGuN0Sa2vrpFIp2u02uq5jGANcLol8Po9hDGi1\nmoRCEbGKFwThlRBBXphpBwe71GrVs9P0V5zHHzx4QLfbZXFxgVwu7zxer9cxjAHRaOxrJ9uVy2Wq\n1Qqq2sayTBKJNOvr65imiWEYWNaYZrOFz+dnbW2D09MClmWxsDD/XGNxBUEQnpYI8sLMarfb3L//\nAEXx8NZb7zirck3T2N2dPn7r1tvO1z9t61qYlt3t7e2g6z0GAwOPR+bq1U0SiRTttkq/38eyRk5N\nvMejUK1WCYVCZDLPN1RHEAThaYkgL8ykaYvZOwyHQ65eveHUvk/T958wGllcv36dQCDgfE+hcIJt\n22Sz2a+sXTdNk729XVqtJs1mC8ua9p7PZvNEo1Ha7Q7tdovhcIiiKGSzOcrlIsPhkPn5BbGKFwTh\nlRFBXphJh4cH1GoV0ukU6+vrzuOnpwVqtSpzcwnW1zedx1W1Rb+vfW3rWl3X2dvbo1qt4HJBr9c7\na7e7SiwWwzRNLMuk3e4wGo1YWFgiFotxcHCI2y2xurr+xOcWBEF40USQF2ZOu91mZ+cBiqJw8+YX\nh+p0XefBg23cbje3bt1y0vePtq59tBnO7+p2uxwc7KHr09kI/b6Brg9IJhMsLa0QDkfodFQajQaT\niY3f7ycUCtHt9hgMdHK53IXMgSAIwssmgrwwU6Zp+mnt++bmNaf23bZtdncf0O32WFhYIpVKO99z\n3ro2lco8saxNVVucnBwB09bJoVCIk5NjZFlic/M6suwmHA7TbncolYr4fH4SiTRut0y1WgJgbe3K\nY59bEAThZRFBXpgp+/t7Z6fp06ytfZEar9WqFApFIpHIhZr4R1vXZjKPL2urVqsUCicARKNx5+d0\nOm2y2TzZbBZF8WKaJs1mg9FoRCDgIxoNY9tjGo0GsViUdDr92OcXBEF4WUSQF2ZGs9ng4GAXRfFx\n48bWhTT93t4+4/GI9fUNp4Odbducnp4CsLCw+NjnLJWKVKvls333NbrdDkdHh+zu7iDLMrdv30SW\n3UQiEVS1Ra1WxufzEovNIUkSrVaT8dhmbW3t1bwIgiAIjxBBXpgJpmny8OEDBgODjY0N5/Ccbduc\nnBzTaNTIZHIX9twrlTKWZZJMpr60V34+X77RqKMoXjY2NlDVJoeHh9y/f4/hcMDbb7/L4uIqAJFI\nlOPjQ3R9SCaTw+/3Mxjo9HoawaCfbParO+cJgiC8DCLICzPh6OiAWq1KOp35Upq+XC4TCARYWlpy\n9twfbV2bzV6sW7dtm8PDAzqdNoFAkI2NKxiGwW9/+zm7uw/R9T4rK+u8//4PMAwDWVbo9zVarRaK\n4iEWi+Nyueh2NUxzSCaTFwfuBEF4LUSQFy69er3O0dEBXq+Pq1evXwjklUqFXq9DJpMlnf5iz/1J\nrWvPa+D7fY1wOOLcMPzqVx9xeLhPp6OSy+X5X//rfWzbZjy2iEbD7O7uYprTrIAkSQyHBrrew+/3\nkc/nEQRBeB1EkBcuNcMw2N/fpd/XWV1dc+a+T/fbC9RqFVKpNPn8vLNHX61WMYwB8Xj8QutawzDY\n29vDMAYkEglWV6f76B9//GsePnxIt9slnc7wne98l6WlZXq9ztl3uqhUyrjdbtLpNJIkoaoqtj1h\nbi5BLBZ/pa+JIAjCuSe39RKES+Do6JBqtUIqlWVlZdV5vFaroqotwEU8PucEf9M0qderuN3yhQlz\nmqZxfHzEeGyRTmfIZnPYts329j0++eRj+v0+c3NxlpZWeOed7wLQ6fRwu2VKpWmJ3HlZnmEY9Ho9\nAoEA8XhCdLgTBOG1EUFeuLQqlTKFQgGfz8fGxroTTHVdp1ar0um0SSanq/hz561rFxcXnJV9u93m\n9HT6+Pz8AolEEtu22dvb5Ve/+ojRyCSRmCMeT3D79m0URUHTNCzLxO12U61WCQT8RCIRXC6JVqvB\nZDJdxUejsdfy2giCIIBI1wuXlK7rHB4e0O9rLC6uOPvt52n6Xm+6px6NRp2UfLPZcFrXxuNzzmPn\nTW6WllacAL+z85BPP/0Nuj4gHI6QSCRYWlp0Vv/1eg3btun3+xjGgFhsDlmWGQ6HaFofRfESDAaJ\nx0WqXhCE10es5IVLx7Ztjo6OqNdrpNNZVlZWnMNztVoVXdcxzRGJRNyZJmdZFpVK5ULr2kqlTK02\nTd0vL68QCoWcAL+z84BOp00oFCSdzhAMhlheXkOWZUzTpNfrMhgMMIwh0WgMv3+aReh0VGx7zNxc\nmkAg+MQOeoIgCK+CCPLCpVMqlSiXiwQCAVZWlp3ytPM0fb+vEY1OV9/nKfxi8ZTx2CKXm0dRFAqF\nY1RVRZYV1tbW8Pl8Z+Njd9nb26HX6xIKhUgmp3v5mUzW2dev16uY5ojJBAYDnUwmgyS5sSyLTqfD\nZOIiFouJVL0gCK+dSNcLl4qmaZycnNDva+Ry806N+3mafjweI8sevF6vM7e928dJ/VoAABx4SURB\nVO06Ne+JRILDwwOnle3m5uaXAvx4PEZR/ITDUVwuN+l01vk5lmVRKJxSLpdwuyWCwSCK4sPlgna7\ng21PiMenwT0ajb6eF0kQBOGMWMkLl8Z5mr7VKpNOZ1lcXLqQpjeMAaPRCL/fRzKZQpblC61r0+kM\nBwf76HqfYDDE6uoakiRhWRY7OzscHOzi8Xhwu2XG4zGRSJhQKEw4HHbm0e/uPuT0tEAikSQcDuP3\n+5EkGAxMdL2H2y0RCkUIBkMiVS8IwmsnVvLCpVEuF6nVKgSDQebn886BuvM0vW3byLIHRfE6qfVy\nuYhlmUSjUUqlIrreJxqNPTbAK4qXeHyO4XBIOBwlFIrg8XjI5fLYtk2xWODhw4d4PDLvvPMukuRG\nkiQmExftdgfLslEUhUDA79wUCIIgvE4zt5I/OTmh1dJe92U8N9u2X/clvDC2PXkhz1Ov1xgMBly/\nvk4qNX/23LbTvU6W3dj2hGw2hyRJ6LpOs9nEtm263R6TiU0ymXJK6n43wK+vr7Ozs4PLBQsLeUYj\ni3g8jqIoHB4enKXo3dy8eRNJkjDNIYriRdM0DGOAJLnw+wPIslvsxwuC8K0wc0G+0Wigqv3XfRnC\nS1Cv10kmkywtLTEauYEv0vQej+dsxGuQWCzmBH9N05FlCZ9PIpebd1b45wF+b+8hPp+fra0tjo+P\n6ff7bGxsYNsgSRLhcJSdnR0sy8SyLBYXF8lkcpycHAPg8XhotZoABINh3G43wWDIqcEXBEF4nWbu\nnUiWZSTpi19rMnlxK2KX6+XtbrzI63weX/4dvx3XZds2uVyeeDxOLBajXu85aXpZVphMptmC81V6\nvV6nVqsyGBjkclnm5xec2vhHA7zfH+TGjesYxpBSqUQ8HieZTNFqNfH7fU6TnGAwCEA4HKHb7WCa\nQxKJBKraRtc1QqEQLheEQiGRqhcE4Vtj5oK8ZVnYtvVSnvurAvGjQ06+CZfrub79GX/Ws1zr6z22\ncX6tkgSK4nHq3h9N0wcCAbrdNvF4nEAggGEYPHiwjaq2WF1dZ2lpxdm/tyyLBw8ecHCwi98fZGtr\ni0gkyscff4gsS7z11jtUKiXnpLwsu1lcXKLb7QIQDIaoVErIskIikWJ7+z6y7MXnC9Dr9fB6vSJV\nLwjCt8bMBfl3332Xer33ui9DeMnO0/TRaBRN05AkySmZ++STj6nX6ywsLHLlyqZTRz8N8NscHOw7\nAT6bzfG///fPGY0s3n77bXq9LqXSKX5/AEXxsrKygizLFAon+Hx+2m0VmE6vazab9HodotEosizj\n8ciEw5HnvuETBEF4UcS7kXDpPJqmn5a7WU7J3G9/+6mTdn/33e98ZYDP5+fZ3r5Dq9Ukn8+TTKa5\ne/cOpjkil5tnc3N6g9Bo1AGYTCZnNxYxIpEIx8cH2PaERCJFv98nEAiLVbwgCN8qIsgLl4pt2xwf\nTw+9pdNp2u1p17q5uQR7ezscHh7g9wd4773vO3XqTwrw5XKZ/f19fD4/GxubfPTR/8dwOGR9fYO1\ntXVkWcayLOdg3XBo4HbLzM8v0G63qVQqhEJhfD4f/b5GKBS4MLpWEAThdZu5dL0w22q1KqPRdBZ8\nv69h2zaJRJyjo0OOjg7wen28++53nRW8aZrs7Dxgb2+PcDjM1tZNstkc3W6X7e27TCawuLjI3t4e\n/b7G6uoq169vOT/vvATPMAx8Ph/ZbJZarcqDB/ex7QmLi/N0Oiput4d4PC5S9YIgfKuIdyTh0jhP\n0yuKQjgcpdNpAxKqqtJo1JEkN1eubJLJTCfSPSnATx9/SKfTxufzMx6PabUazM/Ps7V168LPbDab\ndLtdZNkDTKhWa1SrFXS9z+LiEul0lm5XIxQKEo2KiXOCIHy7iCAvXAqPnqZfWlqi0agzGOiY5gDT\nNBiPp01wFhYWgScH+Glr3ENOT08wzSHRaITh0CCbzbK0tOQMtAFQ1RbD4QBdH9BsNhmNLCzLBGBh\nYZGVlVV0Xaff7xEOR0SqXhCEb52ZS9ffvXuXZvNiM5xvSw36qzKLv+95B8B4PI5lWdRqVXq9Lrlc\nHpdLIhoNk0ym8Pl8mKZ5tgd/QDgc5ubN287qvlgscHx8RKvVYmFhnmQyja73kWXZOZ1/rtlscnCw\nz3g8JpPJEg5HSKcznJ6eIEkyqVSKX//6V4CLTCb9ql8SQRCErzVzQd7lciFJv1t07n4t1/JNzOqe\n7ov4vTweD5lMjjt37lCplFleXiGZTNNo1FAUL+l0BtM02d6+y9HREZFIhK2tW06AbzYbHB4esLu7\nQzab5dq1LdxuicGg75zOP9dqtfjss09pNKosLq5y7doNUqkU5XLxrDFPGl3XnZnzIlUvCMK30cwF\n+a2tLVEnP8Pu3PmcSqVIIjHH1avXnRT+wsIilmU9McBrmsa9e3e4f/8+yWSSt956h3Q6w97eDrKs\nOO1uYXoz8PHHv6JYPGV+fp7vf/8PicViGIZBs9lEUbwkEkln4E0+P08oFHotr4cgCMJXmbkgb1kW\nlvVyOt49apYGyFwWxeIpu7sPSafjvP3276NpPae9rKIoTwzwpmnyy19+RKlUIBKJcOPGLdbXNzg8\nPMC2bebns0iShGEYnJ4W6HTaFAonpNMp/vAP/4fTprZarQA4z1sul7Ft22mlKwiC8G0zc0H+888/\nFwNqZlStVsXjUfj93/99xmOZRqOOLCvE4wm2t+9yeHhANBrj1q23nJW5aZr84hf/h0ajjsfjZXPz\nGhsbG2iaRq/XJRAIEo3GqFar1OvTcbW9Xo9wOMzq6gbp9DSgn6fmfT4/8fgclmXRbNbwev3MzSVe\n58siCILwRDMX5GVZxu3+6j34FzX69HU7H8pyWblcrqfOiEwmE1wuifX1K+TzeT766BNs2yaTSbKz\n84DDwwPi8Tm2tm45AV7XdX7961/SbLbwer2srKyRzWbx+Xzs7DwEIBKJsre3i2EMcLtlcrksx8fH\n+Hx+rl277pwlOF/FZ7PTw3n1eh1N65PJ5JyafEEQhG+bmQvylmUxHo9f92UIT2EauJ/ua10uF6lU\ninw+T61WQ9f7KIqXQqHA8fHhlwK8qra4f/8B9XqdWCxOIjGHz+cjnc6gqi10vc9oZFKplIDpqf1c\nbp4HD7YZDodsbFxxSuIeXfWfP7az8wCA5eXlF/yqCIIgvDgzF+Tz+TyKor3uy3iiWTk9/+UKhpfP\n41Hw+XyUSgUsa4yutymXi8Tjc9y6dZtEIglAqVSkWDylViuRz+edQ3HnNfR7e7tUqxVyuTyyrLCw\nsEAkEsEwDA4O9lEUhRs3vuh697ur+GLxlHq9TiqVEPvxgiB8q81ckM9ms7jd4nT9rDo8PGA8HtDt\nqqhq+0KAn/a1P6LT6dBoNFhYWCISiWIYAxKJBD6fj9/+9lOOj4+Jx2Pkcnmy2Zxz43Xv3j1Mc8SN\nGzedvvfdbpd+XyMcjhAKhbBtmzt37gCwtfXWzNy0CYIwm2YuyAuzq91u02jU6fdVVFW7EOANw+Do\n6BDTHNLptMlkssTjMfr9Pm63jNfr58GDbWeAzXe+8z3n1DxM99grlSLhcIi1tTXn8UqlDEAmkwVg\nd3cXTesxPz9PMpl8tS+AIAjCM5q5IG/b9kspb3sTSua+zb/jtB3tAQcHh0QiXubmEty8eYtEIkm3\n26VQOGE8npZOxuNxA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6MHvlaSJExOTr7R9hFplWZz1xM1OoPBgK+//rrezTg1uXiUXGSo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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e9cc518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bode_plot(transfer_functions[:,:20], freq, alpha=0.1, c='k')\n",
"plt.ylim(1e-2, 10)\n",
"plt.title(\"Transfer Functions for {}, modes 0-20\".format(case))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Immediately, we notice that these modes are doing something funky. Lets average these and make a single low-order transfer function."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10ec8b390>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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YgMSVkDuKmhyAqMn2+9vjrA9E5NZ6Q54teZIjhjwRubXq+mb4+nhaR0YTyQlD\nnojcVle3BTV3W6CaEmCdfYxITnhOnogkJ4oiGk3t6Oq2ICjY32HbrWloQbdFRAy76kmmGPJE5FDd\nFguu3zJCV2dGdX0z9PU9/29p/+G+4wGTvBCi8EVwoC/iIxVYkhxhlyDmoDuSO4Y8ETnE7YZmnLhw\nGyfLa2Awd1gfFwQgIsQfyQkh8PH2RHN7F+rutqDB2AZ9fTPKbtzFEU0V4iICkT4nEouTI6y38Zwo\nPS+fI5ljyBOR3bS0deHMxVqUXLiNa7d6btjh7+uFpfdFY3pMEFRhgYia7A8f7x+uC+57r/HW9i6U\nXm+ApqwGZTfu4sCnV1H46VVETvZHQqQC8ZFKxEcEYoYqaFyzgv0wsp4teZInhjwR2dwdQyuKTmlx\nsvQ2OrosEACkTA3Fg3OjMH/mFHh7jW6yDz9fLyxKisCipAgYWzpwtrIO5y7W4WatCbcbWqAprwUA\nJMWH4IUn58LXe2yTiFTXNyMowAcKf5+x7iKRS2DIE5HN1De14oimCiWlt9FtETElaBIenheN9JRI\nhCondoma0t8HP16gwo8XqGARRdQ1tuJmjREny2pQdv0uXv7PC2MK+tb2LjQY2zAnIWRCdRE5M4Y8\nEU1YXVMr/n7yJjRlNei2iIgI9cea9HgsTo6Y0M01huIhCIgM9UdkqD8emB2OVz8sxzeX68cU9L3T\n2XJkPckZQ56Ixq3B0IYPTlyHpqwWFlFE1GR/PJqegMVJEfDwcMx1516eHvj143Pwlw/K8O2VO/i3\ndy/ghdy5/c7zD4Yj68kdMOSJaFxOldfg7eLLaG3vQvSUAKxJT8DCxHCHhXtfXp4e+IcnUqxBf+D4\nFfxyReKwy3A6W3IHDHkiGpOWtk68XXwZpytq4evtiV+tmI2H5kVLPmNcb9DveuMsvvjuFjLmRmF6\ndNCQr6+ub4YAIHoKW/IkX5zWlohG7ZK2ETteP4PTFbWYHq3Erg0L8ch9MZIHfC8vTw/8Ins2RABv\nH7uEbotl0NeJogh9vRnhIX5jHpFP5ErYkieiEXV1W/D+V9dx7JQWgiDg8Qen4tH0eLsMqpuoWbHB\neDA1CidKb+PTr6uRuTD2ntdcv2VEc1sXkhNCJaiQyHEY8kQ0rFt3mvHa4XJo68wID/bD5jXJmB4z\ndDe4M1i3bDq+vVKP97+6jgcSwxGi6D9D3hFNFQBg2fwYKcojchjn+xpORE7jTGUtdv31LLR1Zjw0\nNwo7n10JlNzKAAAaBUlEQVTo9AEPAAp/H6xbNgNtHd145/iVfs/p68z47uodTI9RYnZcsEQVEjkG\nQ56IBnWzxoiCv1fCy9MDz69NwbOrkuDn6zqdfw/OjcKMmCCcu1iHo6eqrI8Xff/zo2kJEJxkLAGR\nvTDkiege5tZOvPJ+Gbq7Ldjy2BwsmB0udUlj5iEIeO6xZIQqfXHo82v49Bs96hpbcLqyFqqwQMyd\nPlnqEonsjiFPRP1YRBEFf6/AHUMb1mQkuHQYTgnyw/an50MZ4IP/KL6MV94vgygCj6bHsxVPboEh\nT0T9HDl5ExeuNWDO1FA8ljFV6nImLDLUH9ufug8Bk7x6Bg+G+OEBF+yZIBoPhjwRWZXfuIsPvrqB\nUKUvnluTLMnsdfagCg/Ef3vqPsRHKvDT5TNls19EI3GdUTREZFd3jW34f4fL4eEh4DdPpMru9qtT\no5TY+cxCqcsgcqhhW/LFxcXQ6/XW3w8dOmT3gojI8bq6LXjlgzKYWzvx0+UzMS1aKXVJRGQDQ4b8\nxo0bodVqcezYMWu4l5SUOKwwInKcwuNXcf2WEWlzIrCUE8QQycaQ3fWBgYHYtGmT9Xe1Wg2TyeSQ\noojIcU6V1+D4N3rEhAXgl9mJHHVOJCNDhvz27duh1+uhUqkAANnZ2TAYDA4rjIjsr7rejL8eu4hJ\nPp54fm0qfH14sxYiORky5GNj772pw/r16+1aDBE5Tmt7F/79/TJ0dFrw/NoURIb6S10SEdnYqEbX\nHzx40NpVL4rioN15oigiKCgI69ats22FRGRzoijijaJK1N5twYpFcS45ox0RjWxUIc8WPJG8nK6s\nxblL9ZgVG4zcpdOkLoeI7GTMk+Hs2bPHHnUQkYO0d3Tj0GfX4OXpgY2rk5zynvBEZBtj/nQbjcZ+\nv/e9jp6InN/R01VoNLVjxeJYhAX7SV0OEdnRmGe80+l0yMrKgkKhgCiKqK6uxunTp+1RGxHZ2B1D\nK46e1iI40AerlsRLXQ4R2dmYQ37FihVIS0uz/q7RaGxaEBHZz6HPrqGzy4J1S2dgkg9ntSaSuzF3\n169fvx5msxmxsbEwm80clEfkIi5pG3H2Yh2mRyuxeE6E1OUQkQOMOeQ3bNiAAwcOAABUKhX2799v\n86KIyLYsFhHvfHIFAPCT5bPgwVntiNzCmEN+xYoVyMjIAAAoFAoUFRXZvCgisq2vLtyCts6MjJRI\n3nyGyI2M66ScwWBAZWUl3nnnHYiiaOuaiMiGWto68d6X1+Hr44ncpdOlLoeIHGhc5+QNBgN2794N\nAHjzzTdtXhQR2c7hkpswtXTi0bR4BAf6Sl0OETnQmFvyxcXF2LRpU7871BGRc7rd0IzjX+sRFjwJ\nWQvvvR8FEcnbmFvyWq0Whw4dQnFxsT3qISIbOnD8KrotIp760Ux4e/EOc0TuZswhv2nTJqxbtw4q\nlQpZWVkcXU/kpC5cu4PS6w1Iig/B/JlTpC6HiCQw5u76rVu3Wu9It23bNmRnZ9u8KCKamK5uC945\nfhUegoCfLJ856J0jiUj+xhzyoihi06ZNKC8v5z8cRE7q+Nd61N5twY/vV0EVFih1OUQkkTF31//h\nD39AWloalEoldu/ezbvSETkZY3MHDpfcQMAkLzz+0FSpyyEiCY25Jb927VoIgoDs7Gy8/vrriI3l\niF0iZ/Lel9fR2t6Nn2XOQqCft9TlEJGExhzymzdvts5fHxjIbkAiZ1JVY8JX528hZkoAls6Plroc\nIpLYmEM+JSUFixYtgiAICAoKwt69e5GUlGSP2ohoDERRxDufXIYI4CfLZ8LTY8xn44hIZsYc8oWF\nhTh+/DgUCgUA4NChQwx5Iidw9mIdLusNmD9zCpITQqUuh4icwJi/6qenp1sDnoicQ1e3BYc+uwYv\nTwFP/WiG1OUQkZMYc0u+tLQUer0esbGxKCkpAQCsW7fO5oUR0eiVlN5Gg7ENmQ/EIjzEX+pyiMhJ\njLklv337doiiiCNHjiA2Nha7du2yR11ENEpd3RYc0VTBy9MDK5fESV0OETmRUbfkKyoq8M///M+I\nj4/HH//4R3vWRERjoCmvwR1DG368QMW7zBFRP6Nuyb/22mvYsmUL5syZw/nqiZxEt8WCIyer4OUp\nYOVituKJqL9Rh7xKpUJ2djY2bdqExsZGe9ZERKN0qrwWdU2teGhuNEKVk6Quh4iczKhD3mQy4eLF\ni6isrIQgCNafd+7cac/6iGgIFouIv5+8CU8PAauWxEtdDhE5IUEURXE0L0xMTERQUBAGvtxkMqGy\nstIuxY1Xfb1J6hLIjsLCFDzGAE6V1+C1jyrwyH3R+NWKRKnLsRkeX/njMbatsLChL2sf9cC7N954\nA2lpafc8rtFoxlcVEY2bxSLio+9b8avZiieiIYy6u36wgB/ucSKyn3OX6nC7oQXpKZGYEuwndTlE\n5KRG1ZI/ePAgTCbTPV31AKz3lBdFEUFBQZwYh8jOLKKIj0puwkMQsDqNrXgiGtqoQn79+vX2roOI\nRumbS/WovtOMjJRIzm5HRMPibaqIXIhFFHG45CYEAXg0PUHqcojIyTHkiVzId1fuQF9vxpLkCESE\nshVPRMNjyBO5CFEUcbjkBgSwFU9Eo8OQJ3IR5682QFtrxsKkcERNDpC6HCJyAQx5IhfQtxW/hq14\nIholhjyRCyi9fhc3a0xYkBiOmLBAqcshIhfBkCdycr2teICteCIaG4Y8kZMrv3kX128Zcf+sMMSG\nsxVPRKPHkCdyYqIo4vCJmwCAxzISJK2FiFwPQ57IiVVWNeJqtQH3zZiCuIih7zRFRDQYhjyREztc\nchMAsIateCIaB4Y8kZO6pG3EZV0T5k6fjKlRSqnLISIXxJAnclIfnvh+RD1b8UQ0Tgx5Iid0WdeE\ni9ompEwNxfToIKnLISIXxZAnckIffX9d/GMZUyWuhIhcGUOeyMlcrTag/GYjkhNCMEPFVjwRjR9D\nnsjJHGYrnohshCFP5ESu3zKi7PpdJMYFY1ZssNTlEJGLY8gTOZHec/Fr2IonIhtgyBM5CW2tCeev\nNWCmKgiJcWzFE9HEMeSJnMTR01oAwOq0BAiCIHE1RCQHDHkiJ1DX1IozlbVQhQUidVqo1OUQkUww\n5ImcgPqMFqIIrFoSx1Y8EdkMQ55IYobmDpy4cBtTgiZhYVK41OUQkYy4RMir1Wro9XqpyyCyi0/O\n6dDZZcGKxXHw9HCJjyQRuQiX+BeltLQUJpNJ6jKIbK61vQufflMNhb83HkyNkrocIpIZh4W8Tqcb\n97LBwbyciOTpi+9uobW9C8sfiIWPt6fU5RCRzDgk5CsqKpCbm9vvsfz8fBQXF6OgoMARJRA5nc4u\nC9RntfD18cSP7o+RuhwikiGHhHxycnK/1rharUZISAiysrLQ1NSE4uJimM1maDSafv8RyZmmvAYG\ncweW3ReDgEneUpdDRDLk5agNiaJo/bmoqAirV68GAKSmpqKkpARZWVlIS0sbdFmdTgedToekpCSH\n1EpkbxaLiKOnquDlKSBzYazU5RCRTDks5PsymUyIje35h02pVI44cn7Xrl2OKIvIYb65XI/axlY8\nNDcKIQpfqcshIplyWMj3neBDoVBYW+ZGoxEqlcqm2woLU9h0feR8XPkYi6KI4q+/gSAAP12Z5NL7\nYi98T+SPx9gxJOmuX716tXW0vU6nQ0ZGhk23VV/Py+3kLCxM4dLHuOLmXVzVNWHB7DD4Cvx7HcjV\njy+NjMfYtob7wuSw0fV6vR6VlZUAYB1wp1arYTAYkJWV5YgyiJxC0akqAMCqJfESV0JEcueQlnxy\ncrI14Htt27YNAJCdne2IEoicws0aIypuNiIpPgRTo5RSl0NEMucSM94RyUXRqZ7bybIVT0SOwJAn\ncpDauy34+mId4iMUSE4IkbocInIDDHkiBzl6WgsRwKq0eN5OlogcgiFP5ABN5nacLLuN8BA/LJgV\nJnU5ROQmGPJEDvDxWR26ukWsWBwHDw+24onIMRjyRHbW0taJz76tRlCADzJSIqUuh4jcCEOeyM4+\n+7YabR3dyFoYC28v3k6WiByHIU9kRx2d3fj4rA5+vp545D7eTpaIHIshT2RHJaW3YWzpxLL5KvhP\nkuR+UETkxhjyRHbSbbHg2BktvDw9kPmAbW/CREQ0Ggx5Ijs5d7Ee9U1teHBuFIICeTtZInI8hjyR\nHYiiiKJTVRAEYMWiWKnLISI3xZAnsoOyG3ehqzNjYWI4wkP8pS6HiNwUQ57IDo5+fzvZlYt5Ixoi\nkg5DnsjGrlUbcFHbhJSpoYiPVEhdDhG5MYY8kY0V9bbieTtZIpIYQ57Ihm7daca3V+5gapQSiXHB\nUpdDRG6OIU9kQ0dP97TiVy3h7WSJSHoMeSIbuWtsw6nyWkSG+mP+rClSl0NExJAnspXiszp0W0Ss\nXBwHD7biicgJMOSJbMDc2okvvruFEIUvlszh7WSJyDkw5Ils4NOv9Wjv7L2dLD9WROQc+K8R0QS1\nd3Tjk6/1CJjkhYfnRUtdDhGRFUOeaIK+unAL5tZOLLtfBT9f3k6WiJwHQ55oArq6LVCf0cLHywPL\neTtZInIyDHmiCThTWYsGYzsemhsNpb+P1OUQEfXDkCcaJ4so4ugpLTwEAdm8nSwROSGGPNE4XbjW\ngOo7zViUHI4pwX5Sl0NEdA+GPNE49d6IZhVvJ0tEToohTzQO31yux1W9AXOnT4YqPFDqcoiIBsWQ\nJxqjusYW7D9SCW8vD+Q+Ml3qcoiIhsSQJxqDjs5u/Pn9MrS2d+GX2bMRy1Y8ETkxhjzRKImiiLeL\nL0FXZ8Yj90UjIzVK6pKIiIbFkCcapa8u3EZJaQ3iIxX46fKZUpdDRDQihjzRKNysMeI/ii8jYJIX\nnn8iBd5enlKXREQ0IoY80QjMrZ145f0ydHdbsHnNHF4TT0QugyFPNAyLKKLg7xW4Y2jDmowEzJ0+\nWeqSiIhGjSFPNIwjJ2/iwrUGzJkaiscypkpdDhHRmDDkiYZQfuMuPvjqBkKVvnhuTTI8PASpSyIi\nGhOGPNEgGgxt+H+Hy+HhIeA3T6RCwTvMEZELYsgTDdDZZcErH5TB3NqJny6fiWnRSqlLIiIaF4Y8\n0QCFn17BjdtGpM2JwNL5MVKXQ0Q0bgx5oj405TX49JtqxIQF4JfZiRAEnocnItfFkCf6nr7ejDeP\nXcQkH088vzYVvj6c8IaIXBtDnghAa3sX/vx+GTo6Ldi4OgmRof5Sl0RENGEMeXJ7oiji9aJK1N5t\nwYpFcVgwO1zqkoiIbIIhT26v+KwOX1+qx6zYYOQunSZ1OURENsOQJ7d2WdeEQ59dQ1CAD379+Bx4\nevAjQUTywX/RyG0ZzO34ywdlAIBfPz4HwYG+EldERGRbDHlyS90WC/7yYTkMzR14cul0zI4Lkbok\nIiKbY8iTW3r3i+u4rGvCgllhyF4UK3U5RER2wZAnt/P1pTocO61FRIgfNqxO4oQ3RCRbDHlyKzV3\nW7D/SCV8vD3wfE4q/Hy9pC6JiMhuGPLkNto7uvHn90vR1tGNX61IhCosUOqSiIjsiiFPbkEURbyl\nvojq+mYsuz8GaXMipS6JiMjuGPLkFj7/7hY05bWYGqXE0z+aKXU5REQOwZAn2bt+y4h3PrmMQD9v\n/OaJFHh78c+eiNwD/7UjWTO1dOAvH5Siu1vEc48lY3LQJKlLIiJyGIY8yZbFIuK1jyrQYGzH4w9N\nRcrUyVKXRETkUAx5kq3DJTdQfuMuUqdNxqPpCVKXQ0TkcAx5kqUL1xrwUclNTFZOwuY1yfDghDdE\n5IYY8iQ7d5pase+jcnh6Cng+JwWBft5Sl0REJAmGPMlKZ1c3/vxBGZrbuvCzzFlIiFRKXRIRkWQY\n8iQr73xyBVU1JmSkRuLhedFSl0NEJCmGPMlGSeltfP7dLcSGB+LnWbN54xkicnsMeZIFba0Jb6kv\nwc/XC79ZmwJfb0+pSyIikhxDnlxeS1snXnm/DJ1dFmxanYSIEH+pSyIicgoMeXJpoihi/5FK1DW1\nYtWSeMyfFSZ1SUREToMhTy7t2Gktvr1yB4lxwVj78FSpyyEicioMeXJZF6sa8Z9fXENwoA+2PJ4C\nTw/+ORMR9cV/FcklNZra8eqHZfAQBPzDEykICvCRuiQiIqfDkCeX09VtwV8+LIOxpRPrl83ATFWw\n1CURETklhjy5nL/+vQJX9QYsTAzH8gdUUpdDROS0GPLkUs5erMOHX15D1GR/PLMykRPeEBENgyFP\nLuN2QzNeL6rEJB9P/GZtKvx8vaQuiYjIqcnuX8kmUzuMzR2DPicOt6A47LPDLjvCosOvdwILD7eo\nOPzeDrtDI1U03vdxxD0d5gXdFhGvfFCG9o5u/PbnCxAzJWCktRERuT3ZhfwvfndM6hLIjpYvUOHh\n+SrU15ukLoWIyOnJLuQz5kajvaNryOeHO4M73tO7w50XHnaVwzw5fCnDbG+86xx2ufGtdPzv9eBP\nTg6ahJWL44ZbkIiI+pBdyP/PXy1kK4+IiAgceEdERCRbDHkiIiKZYsgTERHJFEOeiIhIphjyRERE\nMsWQJyIikimGPBERkUwx5ImIiGSKIU9ERCRTDHkiIiKZYsgTERHJFEOeiIhIppw+5HU6HfLy8rBn\nzx6pSyEiInIpTh/ygiBg79690Ol0UpdCRETkUhwW8uMNaZVKBQCIjY21ZTlERESy55CQr6ioQG5u\nbr/H8vPzUVxcjIKCghGXN5lMSE9Pt1d5REREsuSQkE9OTkZwcLD1d7VajZCQEGRlZaGpqQnFxcUw\nm83QaDT9/utVVlaGtLQ0R5RKREQkG16O2pAoitafi4qKsHr1agBAamoqSkpKkJWVNWiQFxQUQKPR\noLCwEFu2bEFSUpKjSiYiInJpDgv5vkwmk/Ucu1KphF6vH/K1mzZtwqZNmxxVGhERkWw4LOQFQbD+\nrFAooNPpkJSUBKPRaB1cZythYQqbro+cD4+xvPH4yh+PsWM4bHR93+761atXW0fb63Q6ZGRkOKoM\nIiIit+Gw0fV6vR6VlZUAYB1wp1arYTAYkJWV5YgyiIiI3Iog9m1iExERkWw4/Yx3tqJWq4cd4Eeu\nR6fTQa1Wj2quBXJN/NzKG6cttz+3CfnS0lKYTCapyyAb2rdvH7Kzs6FUKvvNq0Dywc+tvHHacvtz\nqZCfyB9C38l4yDWMdLyrq6sB9Ex5zNae6xnN55mfW9c20jHmtOX25zIhP9Gpccm18HjLG4+v/I32\nGHPacvtymZCf6NS45FpGOt5qtdraCtDpdEhJSZGqVBqH0XyeybWN9hhz2nL7cpmQB+6dGre3i6d3\natzAwECkpaX1+6+XTqfjeR8XM9Lx3rx5Mw4ePAhBEDjdsQsa6fgCgFar5efWhQ13jE+cOIGCggLs\n27cPW7dutV5iTbYlybS2tjCWqXEBYNeuXY4oi+xk4PGurq6GSqXC+vXrJa6MbGGoz/NLL70kZVlk\nQ4N9hl966SVOW25nLtWSH2xqXAB2mRqXpMfjLW88vvLHYyw9lwp5To3rXni85Y3HV/54jKXnMiHP\nqXHdC4+3vPH4yh+PsXPgtLZEREQy5TIteSIiIhobhjwREZFMMeSJiIhkiiFPREQkUwx5IiIimWLI\nExERyRRDnshFJSYmYuPGjdiwYQM2btyIPXv2SF3SuBUUFFivp05MTOz3nEajwYYNG4Zc1mQyYceO\nHXatj8hVuezc9UTuThAE7N+/X+oyJqz35lG9NxnqOxVqr8Ee66VQKPDggw/i4MGDvJcB0QBsyROR\npPLz87F58+YJrSMrKwsHDhywUUVE8sGQJ5IRk8mEDRs2YOfOnTh06BAAYMeOHdi4cSO2bt1qfV1e\nXh5yc3ORn59v7QrvXbb355ycHOvrB66j9/k9e/YgJyfHem/w3vVt3LgRGo0GeXl51m54nU6HvLy8\ne2quqKgY9mYlfSflVKvVyMvLQ15eHhITE6HRaKzPhYSEjHg3SiJ3w+56IhcliiK2bt0KURQhCAK2\nbNkClUqFkydP4vjx44iJicHBgwcRFBSEl156CQcPHrTOGx4cHIy9e/eioqKi3328+3aL9/48cB3F\nxcVIS0tDdXU1tm3bhvXr12Pnzp0QRREmkwmvv/66dR1BQUF49dVXsXfvXhQWFuLpp5/utw8mkwlK\npXLQ/er9WafTISQkBACQnZ2N7OxsHDx4ECEhIUhLS7MuFxMTA51Ox7ubEfXBkCdyUYIg4E9/+lO/\nx0wmE+bMmYOYmBgAQFlZGYxGI3bu3AmDwYCMjAyUlZXhwQcfBADr/b2HM9g6ACAlJQUAEBwcjKam\nJpw8efKeO4slJyfDbDbDZDKhsrIS27dvv2f9wcHBw+6XRqNBQUGB9ffy8nIUFhbi3Xff7becUqmE\nyWQacX+I3AlDnshFDXVvqaCgIOvPqampMBqN2LhxY7/lTpw4Yb0rWF+NjY0AAK1Wa30sJSUFJpOp\n3zpMJtM928/IyLCut/c1CoUCmzZtwu7du7FixYp7alUoFP22Ndx+9XrxxRfx8ssvD/qcQqEYdlki\nd8Nz8kQuaqgR530fX7duHaqqqrBhwwZs3boVGo0G69evh16vx8aNG7Fv3z7raxUKBUJCQrBz504c\nPXrU+vj69evvWcfA7QiCYA333nPyZWVlAIC0tDScOnUK69atG9V+DDeSfseOHTCbzcjPz+9XC9Bz\nbn80PRNE7oS3miVyYyaTCXl5ef3Oo9ua0WjEvn37sG3btkGf37p1K7Zv3z7hc+m5ubn3dOETuTu2\n5Inc3HAt54k6ePAgduzYgS1btgz5mueeew6vvfbahLajVqvvGdRHRGzJE5ET2LNnD9LT0/uNlh8t\nk8mE/Px87Nq1yw6VEbk2hjwREZFMsbueiIhIphjyREREMsWQJyIikimGPBERkUwx5ImIiGSKIU9E\nRCRT/x+MTHlTagDC1AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ec43940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"stf_lo = transfer_functions[:,:20].mean(axis=1)\n",
"stf_lo *= (1.0/stf_lo[np.abs(freq) > 100 * u.Hz].mean())\n",
"bode_plot(stf_lo, freq, sym=False)\n",
"plt.ylim(1e-2, 10)\n",
"plt.title(\"Mean low-order transfer function for s0196\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"f = LevMarLSQFitter()\n",
"model_init = TransferFunction(tau=(1.0 / 1000.0) + 900e-6, gain=0.05, integrator=0.995, rate=1000)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model: TransferFunction\n",
"Inputs: ('freq',)\n",
"Outputs: ('y',)\n",
"Model set size: 1\n",
"Parameters:\n",
" tau gain integrator rate \n",
" ---------------- --------------- ------------- ------\n",
" 0.00624967974499 0.0620249493542 0.99254781921 1000.0\n"
]
}
],
"source": [
"model_init_fit = TransferFunction(tau=0.01, gain=0.06, integrator=0.998, rate=1000)\n",
"model = f(model_init_fit, freq, np.log(stf_lo), maxiter=2000)\n",
"print(model)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will have to avoid fitting the high frequency regime to avoid the kink in the transfer function, which I can't model right now since I don't know what causes it."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x10ef35dd8>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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KsjYHn9Tt4ZO6PWSEpTI/bg45tinolO5HU2+/Lh5fQOXLE0289HEF65dmEWbWD+ljFmOb\nhLwQQvRBQA3waW0RltklOAxBTKqRuTGzmBWVR1pYcq+hfqkwvYXJ1glMtk4AOkK/xHmW484SStsq\nsDuqiDZGsiDueq6PnolB993XtKIoLL8hEX9Q5UBJC3/baeeJpZmYDDK8SvRMQl4IIS5D0zSOtZ5i\nV+0XuK1t6IImbklYxA2x1xGmt1z19sP0FmbHzGB2zAwafE3sbzrE0ZZiCms+Y3/jIW5JWMTMqJzO\nPyIUReGehcn4AirfnHdy6GwLC3Nir7oOMT7Jn39CCNGLFr+T1yve44Oq7bQHvQSqJnGzYQ03JSwY\nlIC/VLw5lpUpd/KT7PUsiL0eV7CND6q2s7H0NSrbqzuXuzAQD+B4ucyEJ3onLXkhhLiEpml803KC\nwtrP8KsBJkdkUfVNNr4WIzfclDDk+48whFOQfAvzY+fwWf0ejrWe4q9lb3B9zEzuSLwRi95CVISR\njIQwSmvacXuDWC3ydS66k5a8EEJcxK/6+aCqkA+rP0ZBxz2pBeSbl9LUZGD6BBvhwzjQLdoUyX1p\ny/lB1lrizbEcaj7Gn8/9nfPucqDjND5NgxMyr73ohYS8EEJ8q8HXxMbzr3Os9SSplmR+OOkRroue\nzsEzHfPG35AdPSJ1ZUWk88NJ3+OWhHzagu38o+JdtlV/Qk5WGHod7D7eSDCkjkhtYnST/h0hhABK\n3RW87fgIr+pjQez13JF0I3pFj9cf4niZkzhbxxzyI0Wv6Lk5YSHZ1om8X7Wdg83fcL6tnJm5Czhy\nIsCXJ5q4dVb8iNUnRicJeSHENe9Q81G2Vn+CTtFxb+pSZkXndd53otxFIKQxZ0rv574Pp5SwJJ6c\n+Aif1u1hX9MhWq07CUvJY8chDX9QpeD6xJEuUYwi0l0vhLhmaZrG5/VFbKneRZjewvey1nQJeIAj\n5zu66mdP6ttc9cPBoDOwJPkWHsy4D5POCBnHsE49wWfHaymvax/p8sQoIiEvhLgmaZrGjtrP2V2/\nj2hjJI9NfJDM8LQuy7S2BThf3U5WYhixNtMIVdq7bNtE1k98hFRLMqFoB+a8fbx78Az+gByfFx0k\n5IUQ1xxVU9lctYMDTYeJN8fy6IQHiDV1H1R3tNSJBsye1Puc8iMt2hTJoxPXMS92NrpwN66Mz3lh\n7wFC6tVd+U6MDxLyQohriqqpfFi1g6OtxaRakvinrHXYjNYelz1yrhW9DmZOsPV4/2ihV/QsS76N\ne1OXo9NBY3wRrxz97KovcSvGPgl5IcQ1Q9M0tlTv5Oi3p8h9L2tNr5d6rWn2Ut3sY2qalfAxMtHM\nrOgcvp+5Fl3QgsN0hFfPfURADY50WWIEScgLIa4JmqaxtWYXR1pOkGJJ5JGsVZj15l6X/+Z8x3Xj\nZ08evV31PcmypbA2eR2qO4oy/1leLnsTV8A90mWJESIhL4S4Juyq+5JDzcdIsiTwSNYaLFeYe/50\npRu9TmFaWs9d+aPZtKQ4rlOXEmxIpdpbyx9KXuVsS+VIlyVGgIS8EGLc29f4NUWNB4k1xfBI5uor\nXlzG1R6kusnHxKRwTMax+TW57PpkTFWzCVRMI6B4eKPyHU60lox0WWKYjc13rxBC9NGx1pN8XLsb\nmyGCRzJXE2G48qx1Z6o6urez0yKGurwhYzHpeeDmdFJDefjPXI+qwruVW9ldv08G5F1DxsZoEiGE\nGIBz7jI2V+7ArDPzUOZqok19m9DmTFUbMLZDHmBKagRTUiM47Yjn5T1h2PKO8Hl9EQ2+Ju5OLcCo\nkwgY76QlL4QYl+q8Dbzt2IKiKDyYcQ9Jlr7N666qGmcq24gMN5AU3fvAvLFkSloEscY42o8tINmU\nzAlnCa/IgLxrgoS8EGLccQfbeMP+AX7Vz72pS8mMSO/zulVNXtp9IbLTIkbFXPWDQaco3DwjlqDf\nhH3fLCabp1LlreWvpa9T7akb6fKGnMcXpLKhbaTLGBHSVyOEGFeCapA37R/SGnByS0I+06Om9Wv9\n05UdYTB1FI2q10IhtLY2NI8HzetB83rB0/G/duH/gB+CIbRgAEIhCAbQgiEIBtFCQXKBLG+IJlcA\nQ4XCLdYg7lAFLv6AISyWcLMNxWAAg6HzfwwGFKMJxWLp/IfFgmIJQwmzoJgtaKbBn+5X1TSOnWtk\n+sRYDPre26JfnarjZHkzp8qbeWbtLJJiwqmodaFTFNITO14/TdPY8MZhSqtd/PN9M5g1OQ6zUT/o\nNY9WEvJCiHFD0zQ2V+2g0lPNjKgcbopf0O9tnKl0oygwJWV4jsdrwSBqczNqUyNaSzOq04XmcqG6\nnGguF5rLidbeDgMdLKcooO8INQuQpGpofg08EK4AqOgaawlRO+DHUGqxYIiMwhAVhT4yEn1kFIbI\nSAxR0Rji4jDGx2OIjUNnNPZpe58fqeLvhSXcfF0q9900kWirmec/PEFtUzs/uf86TpU3897u89S1\neDrXeX3nGdbflcf/fOkrAH669joyEq387L/2dC7zp/ePc9OsFNbcOhmjXkeYefxHoKKNw2GW9fWu\nkS5BDKGEBJu8xmNIMBikpqYag6FvX6hxcVYaGwd2rPjLhgN8WreH9LAUvp91P4Z+Dizz+EL85o3T\npMeH8fTKCQOqoSeapqG5Xag1NYRqa1AbGzv+NTWitbb2HuBmMzqbDcUWiWK1ooSFfdeKtoR1bV2b\nzCgGPRiMXVvjOl2Xww6apnHK4aaouJmz1W0oYU5M2V9jMHmhPomfzFpOhF6HFgx29AIE/OD1dvQW\ndP77tjfB6yXkdmPw+Qi5nISczsv+MaKPisYYH481LZlQRBSmpCRMySmYklPQW7/rOflfr37NGUdr\n5+8L8pLYX9zxR0iExUCbd3Bm8XvuR4v5x8enyc2KIaRq5GRGk5k0uqcw7klCQu81j/qQt9vtFBcX\nY7fbWb9+fZ/WkQAY3yTkx5bhCvmzrlJet79PpMHG+kkP9+lUuUuVONy8vNPObdfFs2ROQr/Xh28D\nvbmZYEU5alUloZoa1JoatPbux4QVWyS6uDh0sXEd/0dHo0RGdtxus6GYh3bg32mHm70nmyhvaoGJ\nB9FZW7Gq8TyZsxqrIYJ2b/CKU/oGg0GSk1MwGAxoqkrI5SLkdBJ0thJsbibQ2ECwsZFAY0PHz01N\noHa/Sp7easOYnEy7LY7P7UHqjZHUmWNx68M6eiMAk1E3oCvs/c/H5nW28C8nKSaM//VUfr+3P9Iu\nF/Kjvq/ihRde4N///d958803KSoqIj9/7L0AQoih1eRv4b3KbegVPWsz7hpQwANUN3kBSI+7/GQ5\nF9MCAUJVlYQqKghVlBOqqEBr6/pHihITiyErC11yMvqkZHTxCehiY1GG4Hh2f0xNtzI13Qpk0u7L\n4bmD7+GOqeIvZ14jqXkxxacV7lmYxMKcWNq9QVrbg6TE9v7cKDodhqiObnszGT0uo4VCROkD1Jwu\nJ1BTg7+m+tt/NXjOnUWnneG2i5b3G8Oot8Rgycgkd8F0Pjgb4osqFVXRYzTouG5yHAXzM3G2+fnD\nu8cA+NWj8zhYUseWonLmTksgM8nGzx+cjc2m8c4XZzh6phVC3Q8d1DZ78PiCvFJYgqPezS//aR5G\nw9genz7iIW+328nI6PnNAFBZ2TEVY0ZGBg6HY7jKEkKMEX7Vz5v2zXhVH/ekFpAaljzgbVU1doR8\nymVCXtM01JoagufOEDxzhlB5GQS/6z5WoqIwzJiJPjMLfXo6+qTkIW+RD4Zws4ml8Uv4qGwv7Rln\nOG/biS5mJlsOKExLt/H2F1WU1rbz43smXjbor0TR69HF2DgaaGHq7CyMOoWDx2vITLbxl3eOYHG3\nsHSymdlRQXwVFfgcFZjqq6C4irrifeQDC3U6TKnphE2aSFi8gkWNxjAphcdW5JCdHk1ybDiZSVam\nZVmpV87zX9+8yLmWUnwhP0RC2FyIMkWSHjaB6OAEdn7qAzp6C379t6+oa+441v/Uhs/42YOzsYUZ\neevTs9y1aALTMmMG4dkePiMa8sXFxTz66KMcOHCg87YNGzYwa9YsKioq+tw9L4S4Nl0YaFfva2Re\nzGyui55+VdurbvISZtYTFd71q1ELBgmeO0uw+ATBklNo7u9a6rrkFAwTJ3aEekYmuuju16UfK+ZP\niyU9/k42n4ynIeYA5uwjBGuaeb/IQmltR/B9fKieH9zZ0TBrdgc6uusv2U5jq5ff/P0gi2emsOaW\nyZ23l9e4OFvZSnWzh08O2omxmVE1jVa3v3OZmddP4467u76OIY8Hv8OBz16Oz2HHZ7fjs1fgdFTg\n3P05AIrJxISsCegnTKQlK4uvTLUUug7hCfkASApPIDk8EZPeTFuwDYerihOtR4GjZNyUgK5uKuUl\n1s6Av+C5N450/nzG0cqff37r1TzFw25EQz4vL4/oiz4QhYWFxMTEUFBQwIYNGygsLCQ9veP8Vrvd\nzsyZM0eqVCHEKHSg6TAnnWfIDE9jSfLNV7Utrz9EoyvA5JRwFEVB8/sJni4hcOI4wdMl4OsICyXC\ninH2HPRTsjFMnoLONvYGal1OapyFp29cSL0vm7fsH9GYXE6FuwWlfjaaP4xTDjf2eg9pcRZ++945\ngiGNPzyThsFg4HhpI5u/LKO6sY02b5AtReUsyEviRGkTuVkx/PpvXY+LN7s6ntMZk2I5fr4JgKzk\n7rMS6sPCCMvOJiw7u/M2LRjEV+nAW1aKt/Q83tJSPGfP4DlzumM7wA/MOkJpScRPnUlMbC6WzIkY\nvs0cVVMpc9rZ7SjiYO1htKh6wvPi8ZzPQfP2fPpkZITp23U1AkGVyvo2EmPCsIb1ftaAL+TneMNJ\nzrScp9XnxKw3kWZNYVZ8HkkRiX18VQZuxAfeLVmyhI8//hiAZ555hpUrV1JQUEBhYSF79uzhhz/8\nIXv37kVRFNauXdunbcqgrPFNBt6NLUM18M7RXs3LZW8Sprfw5KRHsBmv7rz2stp2nt9axvJUHze0\nlxI4fvS7YI+OwTh9Bobp09GnZ6DoxvZx2r7yqwFeO7Mde+gsSsjIXPPNfLG3I9AKrk9gx6F6AKZP\niMEXUDlb2dptG1caDR8XaeH/PJ3P+v/4FID/eDqf+OiwftfqC/nZcuojTh37gsTGADM8kSQ0+Ag1\nNHZZzhATgzlrApYJEzv/Neo8vHVmM8WNJaDqmBebz5rcpTzzu70A5GbFUF7jot3X/XH0NlhP1VSK\nqr/iw/OFuPw9v5/zYqexdMLtTIme2KfHqKkqbc4mDpftp7a2FJ3XR5Q+ggcf+9de1xnxY/IXc7lc\nncfnIyMjqaysJD09nXXr1o1wZUKI0aQ96OEdxxY0NFanr7jqgFedrfi/2MuTFUeIO+ckACiRURgX\n5GOcORNdcsq4mf2uP0w6I/809S52lB3ia+8eDgZ3MfGGKZQdmtAZ8AAnypo7f85KtnHd5Dhuvi6V\nX754oMeADzMb+H8fnsP7X5Ry46wUdDqF//HI9QSC6oAC/mTjaV4veYdGbzOJE1K4Zen9ZMdMAiDk\ncuEtL8VbVvZtq7+UtiOHaTtyuHN9Y3wCqyZM4Jb4HD5Tz1Ls3U2Fr4RH719OfWU49900kSf/47Me\n913b7EHTtC7vj5ONp3n37EdUtdVg0hlZknkrcxJnEhcWizfo41xLKXuqDlDcVEJxUwnTYqawYuIS\npkRPRFNVgs1N+GtrCdTVEqitxV9XS3t1JaGGBnSqRhKQdHERj/X+3Ix4yF/8xNhsNux2O7m5uTid\nzs6u+v663OkEYnyQ13jsCAaDBAKuPrfkoaM13xtV03jnxIc4gy5WZN3K3MzcAdfmK6+gddentH19\niGRVJaDo0c2cTeJti7FMm3rNtNiv5OH4W7i1LYdXS96nqu0ssfNqaS7O4Ya0bG6bk8CpygCu9gAe\nX5CfPTK3c0a5m+akUbivnAiLgUirmTZPgD/+P7ej1+uwhhmZOyO1cx8D+Uy7fW28fORtPi/bh07R\ncV/uUu6fvhKT/qLu8wQbTEoFFnfe5Gtswn32HO6zZzv+P3MW98GvMAEFF5YxNtEYdZq0tDQ8yiIe\nyVTZedpNqzECr87ceVofwBP/51N+88+LMEa08eo373Gm9TQKCrdOzOfBmfcQG9Z1nEZOWjpLUmdy\npuRr9h+s2MJhAAAgAElEQVT6FPfhI5x2HcTZbsDq9HcZyHmB16TQEqOnPcxEckoGyUkTeH9/DSFz\n4KJH1t2o6q7fsWMHdrudJ554go0bN5KZmUlBQcEVttCddOWOb9JdP7YMdnf9noYDfFK3h8kRWTyU\nuarfLWxNVQmeLsH/5ReEykoB0CUlsTdsCl8ZMvkfP5iJXnfttdr7IqSF2F2/jz0NX6GhcX30TG6K\nW8CktEk9vr7ONj87v7Zz25x0IiOM+AMqYWbDVX+GNU3jUN1R3jr9Aa6AmwxbGo/krCXDlnrllXvZ\nXrCxAW9ZKb7KSvxVlbgd5ah19eh6SEi/YsBlCMejN+PVmfCZFPw2D1p4O5oCUZZocmKzsSpmamub\nIeAnxqgRam0l2NpCyOXqcdIgn1GhxabHaTPijjJTFxGixWagxaanzZtAsDYTtSWBSy878+Fz9/b6\n2EZ8dL3D4eDkyZPk5uZSUFDAc889R2FhIa2trQMKeCHE+FXR5uDTur3YDFbuTVvWr4DXgkEChw/h\n3/MlakNHV7N+SjbmxTeiTZzCF6+VkBJrkYC/DL2i57bExUy1TmJz9Q4OtRyj2HmGe3XLuDF9ITql\na/hERphYffN3o+vDzFffM9LoaeKtMx9wrOEkRp2B+yav4PaMm9DrBj4fvaIoGOMTMMYnYLvhu9uD\nfh9ffrOV4yf3EObyEtmukuwzE+EOYXV5iPE5O/4IaAdaLt6ihyDVtAAXTp5sBxSzGUNUNKbkFAxR\nURgTEjEmJmFKSsKYmESp2khFzdfY3VX4Q34sihX7aR2hqlQ078CmWR7xlvxQkFbe+CYt+bFlsFry\nnpCX58+9iivo5gcT1pIZntan7WmhEIFDX+P77JOOKWT1eoyzZmNafCP65I6Tv6qbvPx+cynzpkaz\nalFK3x/cNSykhfiqqeP69H41QJo1hZUTlzArfvoV//gayGc4oAb5pGI328p2EVADTI2ezEM5a0gM\n79slhK+GJ+hlb9UBvq77hnKn/bs7NA1TQEeGlkr9yXBwRqEAOjRS48KpaPLhVwwEdEae+++3YYr4\nbpImVdPQffs8qZpGTWM7m/eUMic7AbcnQGp8BM++fpi+GLUteSGE6AtN0/io6mOcQRe3JOT3KeA1\nVSV47CjenR+jNTeBwYBp8Y2YbrwJna3raVqdk+BcxSQv1xq9omdh3FxyIqawz32Yg3VHeP7YK6Rb\nU1k64Xaui59+Va3rC0JqiP01X7O1dCfNvhZsRisP56xhXtKcYRsMGWawcEfmzdyReTOeoId6TyP+\nUIBwQxhJ4QnodXrespxl2/6KznWq2gDzd63vp3+/j/m5iYRbjNw4M4X/75WDAKy9bTJFx2tw1HdM\ne3zgZN8v/RsZbsTZHrjsMtKSF2OOtOTHlsFoyX/dfJSt1bvIDE/j+1n3d+sW7rbP8jK827agOhwd\nLfd58zHffCu6yO7nYAN8tL+GvSebeXrFBDIT+z+6+1p2Ye76Bl8T28p28nXtN2hoRJps5KfMY0HK\nXJLCu14HoC+f4Vafi33VX/FF5T6afS0YdAZuTstn+YQ7CDcObNriodbY6sVi1vPj//xi0Le95pZJ\nvPP5efQ6hR+tmkmMzUxKXDhHzjaw8uYpva4nIS/GHAn5seVqQ77O28CLpa9h1Bn54aTvEWnsfRS2\n2tKCd/tWgsc75jA3zJyFZclSdLGxl93n89vKKa9t51ePTMNklBH1/XHxBWoAatrq+KKyiP01h/AE\nO2aPSwpPIC9uGhMjM8mwpTE1PYOWb68TAB09NW2BdhzuKsqddk40nuJ8azkaGia9iYXJc1k64Xai\nzVEj8hj7K6Sq7PjKjjXMyEtbT13Vtm6bk8a9N07snIinJ2P6AjVCiGtXQA3yXuU2glqIVSkreg14\nLRTCX7QH3ye7wO9Hn5GBeflKDJlZV9yHpmlUN3mJjzJJwA+C5IhE1k69l3snL+dw3TG+qT/OyabT\nfGr/kk8vWi7CGI5RZ0TVVNoC7YS0UOd9CgqToiZwfeIsFqRcT5hhbPWu6HU6li/oeO/lT0/mpa2n\nKDpRc9l1nr53OlPSonjvi/PsOVbD/346H7NRjzXMgP4qTuWUkBdCjFo7a3dT52tgbswsciJ77pIM\nVpTj/eB91NoalPAIzHfdg3HO9X0+XtvsDuALqCTHyPH4wWTSm1iQMpcFKXPxhwJUuByUOSuoctfg\nVl00ulsIfhvssZYYbKYIUiNSyLClMSV6IjbT1U1wNFoY9DqevDuP9Xfl4vGF+OJoFZs+Octv/9ti\noqxmHv/fnwBw/dQEDHodj63I5XtLpmE2Xf14BpCQF0KMUmdcpRxs/oYEcxxLkm7pdr8WCOD7uBB/\n0V7QNIw3zMNcsBRdeP9ONapt6Zi6NiV29F8pbqwy6Y1MiZ7YOX3rtXjITVEUwi0Gls7PZOn8zM7b\nf/PkAlrdfgz6jta6TlEGLeBBQl4IMQq1Bdv5sGoHekXPfWnLMeq6flUF7RV433kbtaEeXXw8llVr\nMGRNGNC+apu/vUpZtIS8GH4pcRGkxA3sHPi+kJAXQowqmqaxpXonbaF27ki8iWTLdyOztWAQ36e7\n8O/+vOMc5fxFmJcsRTH1PijpSmouhHyMhLwYfyTkhRCjyv7abyhxnSMrPJ2Fcdd33q42N9O+6TVU\nhwMlOoaw1fdjmDTpqvdX0+zDZNARbe39cqFCjFUS8kKIUaPZ38J7pYWYdSbuSV3aeT58oPgEnnff\nBq8X43WzsdxzH4r56lvewZBGQ6uPtPiwztnHhBhPJOSFECNO0zRa2vy8XbMNX8jPvanLiDZFdnTP\nF27rGFxnNGJZtQbj9XMHbaazBqcPVYNk6aoX45SEvBBiWIVUDUe9h+pmL7XNPmqafdS2+AjGncGY\nUUOwMZkPvtFxwHCMO8/vJNZVhxobj+2R76FPSrryDvqhRgbdiXFOQl4IMSzqWnwcOtvK4XOtuDzf\nXS9bUSA63oM3/SwGNYz04AIMoVruKPkYa9DDcdskCqMXkLC/jdmTG7luYhS28MH56qqVQXdinJOQ\nF0IMmXZvkH0nqvnssB1HQ8c0phaTjvlTo8lMDCM5xkJspJ5X7JvwejXWZi5lusVL/edbIRRCv2Q5\n1ozrmHzeyelKN1u/qmPbV3XER5lIi7OQFhdGapyFzMSwAV0i9kJLXrrrxXglIS+EGHQNrR627qtg\n77Fq/EEVBchOjWBudjS5GVaMhu+m6fy8rohabz2zI6eTvvcU9V/sBouF8Ie/h2HqNGYBsyZF4fYG\nOVbq5HiZi8pGL/WtTo6cdwIwKSWcH9yRgcnQv+k/a5t92ML0RFjkq1CMT/LOFkIMmvoWD1uKytlz\nrJqQqhEfZeHGmclMToC4qO7zj1d76viy4QAxhHPrp5X4S05jSEzA/ND30Sd0vXKZ1WIgPzeW/NxY\nVE2jyemnstHL4XOtnK5s45Vd9n4FvdcfoqUtwJTUoZuIRIiRJiEvhLhqdS0ePtpbRtHxGkKqRlJs\nOHcvymJBXhKaqlJTU91tnZAWYnNVISZfkIeKPGhVZegnTyH1n5+kxatedn86RSE+ykx8lJkZEyJ5\n/bNKiitc/H2Xne/3MegvTGcrg+7EeCYhL4QYsMZWL+9/eZ6i47WomkZKXDh3LZrAgtwkdN8eIw+q\nPQf2F/X78TTV8v3PPRhb2jvOf1+1Bn1EOHjdPa7TE71O4cFb0njjcwfFFW5e3eXg+3ekdzkk0BM5\nHi+uBRLyQogB2Xeihr/vOI3HFyQ1PoK7F01gXk5iZ7hfTrWnluKze3ngsxbC20OYFt+IeelylAFe\nUtOgV3jwlnRe/8zBSbubLQdquW9RymXXkZH14logIS+E6Jd2b4C/7zjN/uJazEY9/7RsGjddl9rn\nGeOCapA9h9/j/o+bsAQ0zMuWY77x5quuy6BXeOjWdP7wYSlfnW5hbnY0GQm9X4e8ttmHAiRKd70Y\nxwZ+JXohxDWnpKKZX/71APuLa5mcGsmvH5/HLbPT+jUl7JGDH3J7YTmmEFjWrB2UgL/AoFe4Nz8Z\nDXi/qGPwX080TaOmxUdspKnfI/KFGEukJS+EuKJgSOW9L86zfV8FiqJw740TuWtRFvp+dq/XHiti\n8kcH0BQF08OPYMqZPui1TkwKZ+6UKL4+28q+U80szovttoy93ovHF2JKSvig71+I0URCXghxWVUN\nbTy/+QQVdW4So8N48u48JqdF9Xs7vpMnML31IaoC7evuInYIAv6CZTckUmx3s/NwPTOybERFdL3C\n3OfHGgBYMC1myGoQYjSQfiohRK8OnKzl13/7ioo6NzfNSuFXj80bUMCHSkrwvP4PVEWj5K65ZExf\nNATVfifCYmDZ3AR8AZUtX9V2ua+m2ctJu5vMhDAmJktLXoxvEvJCiB6V1TjZ+NFJDHodP1o1g8dW\n5BJm7n/nX9vRI3g3vUZI0fjkjlRumHvPEFTb3dzsjqlzj5e52H2ssfP2z7/9+dZZcYN2NTshRisJ\neSFEN25PgD++d5xQSOWpe6Yzd1riwLZz5DC1f/kTIZ3GB7dGM2/ufZh0pkGutmc6ReGBm9OIijCw\n/es69p1qotHp52ipk+QYM9PSrcNShxAjSUJeCNGFqmls/KiYhlYvdy+ewKzJcQPajvvIYar+9AdU\nHbx/SxSpOfOZEJExyNVeXozVyBMFmVgtejbvq+W1zxxoGtw6K15a8eKaICEvhOhiy94yjp5rZPrE\nWO5ZPHFA22g/XUL1n/8L9DrevSWStvR4bk+6cZAr7Zv4KDOPL80kzKSjuslHnM3IjCzbiNQixHCT\nkBdCdDpR2sT7X5QSG2nmh3fn9Wn2ukt5K8qp+v1/oqkan96eQmWikZVJd2LSGa+88hBJjrHwWEEm\naXEW7lqQPKDHJcRYJKfQCSEAaHJ6+cvmE+h0Cv9y30xs4f0/du6vq6PyP59D9Xqx3z2Po9Yybk7N\nJzM8bQgq7p/0+DB+dPfAeiaEGKsu25LfsWMHDoej8/e33npryAsSQgy/YEjlj+8fx+0J8PCd2UxK\njez/NlpaqPzts4ScTgz3reA9aznxlljumrh0CCoWQvRFryH/xBNPUFFRwfbt2zvDfc+ePcNWmBBi\n+GzadZbzVU7ypydx65z+t7pD7W04/vM5AvX1RN91N6/H29HQeDjnfsz64RlNL4TortfueqvVyvr1\n6zt/LywsxOVyDUtRQojhs+9EDbsOOUhLiOAHS3P6Pepc9fup+v3v8DvsRN12O1/PiqKqrIZFKfOZ\nFjuFYDA4RJULIa6k15D/+c9/jsPhID09HYClS5fS2to6bIUJIYZeZb2bv20/hcWk50erZmI26fu1\nvhYKUf2XP+I5cxrbvPmo9yxh+8H/S5TJxqopK4eoaiFEX/Ua8hkZ3c9nXbdu3ZAWI4QYPh5fkD+8\ndxx/QOVHq2aQHNu/KV41TaP21Zdp++YI4XnTSXx8Pb/95gWCWogHpq0i3Nj7ZV6FEMOjT6Pr33zz\nzc6uek3TeuzO0zSNqKgo1q5dO7gVCiEGnaZpvLT1JLVN7SybnzmgGe2ad2zH+cVuzJlZpP7Lj9ld\n8xWlznLmJM7iuoQZQ1C1EKK/+hTy0oIXYnzZf7KWgyX1TM2IZs2tk/q9vvvIYRrefhN9VDSpP/4p\nzZqHD85vI9wQxrqp9w5BxUKIgej3ZDjPPffcUNQhhBgmPn+Itz49h0Gv44mVuf2+JrzPXkH1C39G\nMRpJ+/EzGKKjeb3kHfwhP2uy7ybSJLPJCTFa9DvknU5nl98vPo9eCDH6bdtfTrPLx7IFGSRE9++4\nebC1hcrf/yeaz0fy409imTCRAzWHONl0mtzYqSxInjtEVQshBqLfM97Z7XYKCgqw2WxomkZlZSX7\n9+8fitqEEIOsodXDtv0VRFtNrFiY1a91Vb+fqv/6vwSbmohbtQbbDfNw+l28c+ZDTHoTD01bLRd9\nEWKU6XfIL1u2jPz8/M7fi4qKBrUgIcTQeevTcwSCKmtvnYLF1PePv6Zp1P7tRbznz2PLX0Tsirs6\ntnf6A9qC7dyffQ9xYbFDVbYQYoD63V2/bt063G43GRkZuN1uGZQnxBhRUtHMV6fqmJwayYLpSf1a\nt+nDD3Ad2I9lSjZJP3gMRVH4pv4Eh+qOMjEyi1vSFw1R1UKIq9HvkH/88cd54403AEhPT+fFF18c\n9KKEEINLVTVe33kGgIfunIquH93qzgP7aNz8Pob4eFJ/9GN0RiPtAQ+bSt7DoOh5JPd+dIpc0FKI\n0ajfn8xly5axePFiAGw2G1u3bh30ooQQg+uLo1VU1LlZPCO5Xxef8Zw/R+1fN6KzWEj78X/HYOtY\n9/1zW2j1O1k24Q5SIvrXKyCEGD4DutRsa2srJ0+e5PXXX0fTtMGuSQgxiNq9Ad7dfR6zSc+aWyf3\neb1gaytVf/w9WihE6n/7Cea0jgvXnG4+y56qA6RGJLMk69YhqloIMRgGdEy+tbWVZ599FoCXX355\n0IsSQgyezXvKcLUHuCs/i2iruU/raKEQ1c//iVBLC/Gr1xIxYxYA/pCff5x6BwWF7+WuxaAbUDtB\nCDFM+v0J3bFjB+vXr+9yhTohxOhU3djGrq8dJERbKJjX/XoUvWl47x08JaewzplLzLLlnbdvKf2Y\nBk8jd2TcTFZk37cnhBgZ/W7JV1RU8NZbb7Fjx46hqEcIMYje2HWWkKrxwO3ZGA19u8Kc6+uDNG/f\nijEpiaTHnug8973caWdXxW7iLbHcNalgKMsWQgySfof8+vXrWbt2Lenp6RQUFMjoeiFGqaPnGjh2\nvpHcrBjmZMf3aR1/TTW1L21EMZlI/Zcfow/vuDJdSA3xj1Nvo6HxSO79mPSmoSxdCDFI+t1d/9Of\n/rTzinQ/+9nPWLp06aAXJYS4OsGQyuu7zqJTFB66M7tPM9GpXi9Vf/wDqtdL8pNPY05L77zv44rP\nqHRXsyhlPlNjpgxl6UKIQdTvkNc0jfXr13PixAmZwlKIUWrX1w5qm9q54/p00hOsV1xe0zRqX3kJ\nf1Ul0bffSeSChZ331bTVsq10J1EmG6umrBzKsoUQg6zf3fW/+c1vyM/PJzIykmeffVauSifEKONs\n87N5TykRFgP33jSxT+u07NrZMaPd5CkkrHuw83ZVU/nHqbcJaiEemLaacGP/LmgjhBhZ/W7Jr1q1\nCkVRWLp0KX/961/JyJARtkKMJu/uPo/HF+KRJVOxhhmvuLznzBnq33oDvS2SlKd/hGL47mthd2UR\n51vLmZM4i+sSpg9l2UKIIdDvkH/yySc756+3Wq/cDSiEGD7lNS6++KaKtPgIbp2TesXlg60tVP35\nv0DTSHnqnzHGxHTe1+hpZvO5bYQbwlg39d6hLFsIMUT6HfIzZsxg/vz5KIpCVFQUv/vd78jNzR2K\n2oQQ/aBpGq/vPI0GPHRnNnrd5Y/GaaEQ1X/5E6HWFuLvX0d4znefY03TeKPkXXwhP9/PXUekyTbE\n1QshhkK/Q37Tpk3s2rULm63jQ//WW29JyAsxCnx1qo7TjlbmZMeTN+HKl31tePctPKdLsF4/l5il\ny7vc91XtYYqbSsiNncqC5LlDVbIQYoj1e+DdokWLOgNeCDE6BEMqb316DoNe4YHbr3yKm/vwIZoL\nt2NMTibpsfVdzpRx+d28fXozJr2Jh6atlrNohBjD+t2SP3bsGA6Hg4yMDPbs2QPA2rVrB70wIUTf\n7TlWTaPTy5IbMkiMCb/ssoGmJmr+9iKK0Ujq0z9CH9Z1xPxbpz+gLdjO/dn3EBd25R4BIcTo1e+W\n/M9//nM0TWPLli1kZGTw61//eijqEkL0UTCksqWoHINex/KFmZddVlNVajb+BbWtjYQHHsKc3vXs\nmKP1J/i67hsmRmZyS/qioSxbCDEM+tySLy4u5t/+7d/Iysrit7/97VDWJIToh6ITNTS0erljbvoV\nrzLX9NHmjuPwc28g6pbbutznCXp4o+Q9DIqeR3LXolP63QYQQowyff4UP//88zz11FNMnz5d5qsX\nYpQIqSpb9pZj0CssX3D5Vnz76RIaP/wAQ2wcST94rNux9vfPbqXV72TphNtJiUgayrKFEMOkzyGf\nnp7O0qVLWb9+Pc3NzUNZkxCij/adqKWuxcNNs1KJjbT0ulzI7aZm418ASHnyafQREV3uP9N8ji+r\n9pMakUxB1m09bUIIMQb1OeRdLhenTp3i5MmTKIrS+fOvfvWroaxPCNELVdX4aG8Zep3CioVZvS6n\naRo1L/+VYFMTcffcR1h2dpf7/aEA/zj1NgoKj+Tej0HX7/G4QohRqs+f5k2bNrF9+3Y0Tev8HTrC\nXwbfCTH8DpyspbbZwy2zU4mL6r0V3/rZJ7QdPkTYtBxiV97d7f6tpR9T72nk9oybmBB5+S5/IcTY\n0ueQf+mll8jPz+92e1FR0aAWJIS4MlXV+PDbVvzKy7TifXY79ZteR2e1krz+KZRLZsGrcDrYZd9N\nvCWWuybJZaOFGG/63F3fU8Bf7nYhxNA5WFJHdWM7i2YkEx/d85XhVJ+P6uf/hBYMkvzoE13mpQcI\nqSFePfUWqqbyUM4azHrTcJQuhBhGfWrJv/nmm7hcrs6u+otdGKGraRpRUVEyMY4QQ0zVND7cU4ZO\nUViZ33srvn7Ta/irq4i+YwnW2XO63b+z4nMq3dUsSplHTmx2D1sQQox1fQr5devWDXUdQog+OlRS\nT2VDG4tnJPc6u53r4AFad3+OOSOD+Pu7/+Fd01bH1rKdRJpsrJqycqhLFkKMEJntQogxRNU0Nu8p\nQ1HgrkUTelwm0FBP7csvoZhMpDz1L+iMpku2ofLaqbcJqkEemLaKcOPlp8EVQoxdEvJCjCFHzjTg\nqHezMC+JpNju4awFg1Q//2dUj4fEh7+PKTml2zJfVu7jXGsZsxNmMjthxnCULYQYIRLyQowRmqax\neU8pCr234hs3v4/3/Dls8xcSufjGbvc3eZt5/9xWwgxhrJt639AWLIQYcRLyQowR35xtpKLWzbzc\nRFLiIrrd336ymKZtWzAmJJD4/X/qNm2tpmm8XvIuvpCfNVPuIsosl4wWYryTkBdiDLi4FX93D634\nkNtN9cbnQacj+cl/7nb5WICvag9T3FhCTkw2C1NuGPqihRAjTkJeiDHg2PkmympczM1JJC3B2uU+\nTdOo/fvfCLW2EH/vKsImTeq2vsvv5u0zmzHpjDyUs6ZbK18IMT5JyAsxyl1oxUPPrXjn3j24vz5I\nWPZUYpat6HEbb5/ZTFugnbsnLyM+LHYoyxVCjCIS8kKMcifKmjhf5eT6qQlkJHZtxQca6ql//VV0\nFgvJTzzZbdpagGMNxRysPcKEyExuTV88XGULIUYBCXkhRjFN09j8ZRkA9yye0PU+VaXmxRdQvV4S\nHvoexviEbut7gl7eKHkPvaLnkZz70SnykRfiWiKfeCFGsZPlzZytbGX2lHgyk7qOhm8u3IbnzGms\nc28gclHPLfQPzm2jxdfK0qzbSLUmD0fJQohRREJeiFFs854yAO6+pBXvrSin4f130UdFk/T9R3sc\nSHem+TxfVBaREpFEwYTbh6FaIcRoIyEvxChVUtHMaXsLsybHMTElsvN21e+nZuNfIBQi+bEn0Fut\n3db1hwK8duptFBQeyVmLUdfnq0oLIcYRCXkhRqkPvvx2RP0lrfiGd9/CX1VF9O13EDFjZo/rbivb\nSZ2ngVszFjMxKnOoSxVCjFIS8kKMQqftLZyqaGHGxFgmp0Z13t524jgtOz/GlJxC/Jqerw5Z4XKw\ns+Jz4iwx3D1p2XCVLIQYhSTkhRiFPvz2vPh7Fk/svC3kdlPz0kbQ60l+8il0ZnO39UJqiH+cfBtV\nU3k4537MelO3ZYQQ1w4JeSFGmbOVrZwoayZvQgxT0jta8ZqmUfvqK4RaWoi75z4sWRN6XHdXxW4c\n7ioWptxATmz2MFYthBiNJOSFGGU299CKd+0rwn3wAJYp2cQuX9njerXt9Wwp+xibycqaKXcNS61C\niNFNQl6IUeR8lZPj55vIyYxmakY0AIHGBupe+zuK2ULKEz/scVY7VVP5x8m3CapBHpi6inBj92vN\nCyGuPRLyQowiF47F3/1tK75zVjuPh8SHHsGY0H1WO4DPHXs511rK7IQZzEnsecS9EOLaIyEvxChR\nUevim3ONZKdHkZPZ0Ypv3rEdz+kSrHPmErn4xh7Xq22v54Nz27AaI3hw2urhLFkIMcpJyAsxSmzb\nXwHAyvwJKIqCz15Bw3vvoI+KIukHPc9qp2oqfy9+k4Aa4IFpq7CZuk+MI4S4dknICzEK1LV4OHCy\nlvQEKzMnxaIG/FS/8O2sdo8+gd5m63G9XRW7KXWWMzfxOq5PnDXMVQshRjsJeSFGgcIDFWgarFiY\niaIoNLz7Dv6qSqJuu52ImT2Hd3VbLR+V7sBmtLJu6n3DXLEQYiyQkBdihLW2+fnyaDXxURbm5SbS\nfrKYlo8LMSYlk3D/Az2uE1JDvFK8iaAa5KGcNVhNEcNctRBiLBgTIV9YWIjD4RjpMoQYEjsP2gkE\nVZYtyASPh5q/vgB6PSnrf9jjrHYAH1d8RoXLwfzk67kuYfowVyyEGCvGRMgfO3YMl8s10mUIMeg8\nviCfHKrEFm7kxpkp1P3jFYLNzcTddQ+WiZN6XKfSXc3W0p1EmSJZm33PMFcshBhLhi3k7Xb7gNeN\njo4exEqEGD0+P1KFxxfkzhsy8B46gOvAfiyTJhO7oucZ64JqkFeKNxHSQjycs0YmvRFCXNawhHxx\ncTFr1qzpctuGDRvYsWMHGzduHI4ShBh1AkGVwq8qMJv03DzBQt2rr6CYzSSvfwpFr+9xncKyT3C4\nq8hPmceM+NxhrlgIMdYMS8jn5eV1aY0XFhYSExNDQUEBLS0t7NixA7fbTVFRUZd/QoxnRSdqaHX7\nue26VJyvvdwxq90DD2NKTOxx+QqXg+3lnxBjjmZNtsxNL4S4MsNw7UjTtM6ft27dysqVHRfZmDlz\nJgSrcWMAAB//SURBVHv27KGgoID8/Pwe17Xb7djtdnJzpeUixgdV1di2rxyDXmFxWwltp04SMfv/\nb+/Ow6Oo0jWAv5U90EsWQpYOm0joLKgMBIyArAYR2UcUFBSCLIIGF+bqzCVc8c6MV2FGFo1CQIQR\nJY4ILmCQILgQZHEjJCHIls4GISSd6uzdXfcPJm2apDsLSXe68/6ex+dJ6pyq+oqy83WdqvrOQChG\n3Nto/1qjHjsykmGUjHg0/I/wdvO2ccRE5IhsluTrE0URPXr0AAAoFIomn5x/+eWXbREWkc38mF2E\nKyWVGN/LFRX79sBVrkDg3HmNVrUDgH0Xv0J+eSGGq+5GuF+YjaMlIkdlsyRf/4+XXC43XZmXlZUh\nNDS0TfcVENB4dTByHo58jiVJwoFTP8JNMmBI1iHU6vUIW74Mfn1VjfY/V3wRX+UcRkBXfzw59GF4\nu3vZOOJbo9frUVsrws2t+X9u/P1ZntdR6PV6BATIW3R+Acf+DDsSuwzXT5w40fS0vUajwbBhw9p0\nX0VFfN3OmQUEyB36HGdcuo7fNKV4xJiF2rxcKEeOgqFXWKPHVGOoxfoT2yBJEmaH/RG60lroUGuH\nqFtPr9ejuFjX7CTg7y9DcbGunaOitqLX6+Hu3rIvcY7+Ge5orH1hstnT9bm5ucjMzAQA0wN3KSkp\n0Gq1iI2NtUUYRB3CvmOX0bOiEL0v/Qj3wEAEzJxlse/nF1JwpeIqRoUOQ5hvXxtGSUTOwCZX8hER\nEaYEX+f5558HAIwfP94WIRB1CJcKy3D+/BUsKj4KCAKC4hZZrGp3vvQSDmm+RYC3Pyb3nWDjSInI\nGThExTsiZ7HvWA5ii35Al2od/B+cDO/bGq9qV22owY7MXQCAOeEPw9PVw5ZhEpGTYJInspEr1ytQ\nceIHROouwqvPbfCbOMli30/P70dRZTHG9BiBvj69bRckETkVJnkiG0n9Oh2xRT9AcnNH0IKFFqva\nZZecx+Hc7xHYpTsevI23s4io9ZjkiWygpKwSAUd2w8tYg+6PzIZHYFCj/ar0VfhXZjIECJgTPhMe\nru42jpSInAmTPJEN/Pyv3ehVUYiq3v3hM3KUxX6fnN+H4qoS3NdrFPooe9ouQCJySkzyRO1Me+ES\nAn86hEo3L4Q9tchiVbtfitLxXd4xhHQNwgN97rNxlETkjJjkidqRsbYWOW8nwk0yoHT0dHj5+TXa\nr7jyOnZkfgR3F3fMi5wNdxe7VJwmIifDJE/Ujq7u/hie16/gtG8YoqeMabSPwWjA1jM7UamvxMyw\nKQiRNX6/noiopXi5QNROKs5mQftVCkrc5RBip6GLV+Mft70X9uNSWQ4GB96FmOBoG0dJRM6MV/JE\n7cBQUYHCLZshAdgfPAJjYxovepN+LROpOd+ge5dumNV/usX79URErcEkT9QOru7cAf31Yhz1HYC+\nQ++EUtawdG1JVSm2Z+yCm4sb5kc+Bi83x5pdjog6PiZ5ojYmnjgO8Vgarsm6I83/Dtw/pEeDPgaj\nAe+e2YlyfQVm3D4JPeQhdoiUiJwdkzxRG6otKcGVHe9BcvfAx373YFB4ELr7dmnQ7/OLB3BeewkD\nu9+BEaq77RApEXUGTPJEbUQyGnFlaxKMFeX45bZhKPFQYMLQXg36ZRSfxYHLX6Oblx8eVc/gfXgi\najdM8kRtpPTQQVRkngHCIvClPhRRffzQK0hu3qdai/cyPoSr4Ir5UY/C283bTtESUWfAJE/UBqrz\n8nDt38lwlcnxdegIQBAw4W7zq3ijZMS2Mx9AV1uOabdPRC9Fw3v1RERtiUme6BZJej0Kk96BpNfD\nfdos/JBTiT7BCqh7+pj123/xIM6VXsCd3SIxKnSYnaIlos6ESZ7oFl3bsxvVmhwoht+Lr3Q3EvsD\nd/cyu9d+9vpv2H8pFX5evngs/CHehycim2CSJ7oFFdlnUZKyH+4BAXB7YDqOnbmCIL8uGBjWzdSn\nrEbEtowPIAgC5kc+ii7uDZ+2JyJqD0zyRK10o6rdJgBA0IJFOHi6CAajhAlDe8LlP1fqRsmI9858\niLIaEVP6TuD0sURkU0zyRK1U9MH70BcXw2/igzCE9MKRn/PhK/fE3ZG/TzBz4PLXyCo5hyh/Ncb0\nGGHHaImoM2KSJ2qFsqPfoyzte3j26g3/B6fg0KlcVNcaEBvdA+5uNz5Wv5VexOcXDsDHU4k5EQ/D\nReDHjYhsi391iFqo8sJ5XNn+Lly8vRG8cDFqjAIOnspFVy833HvnjfK0uppyvHtmJwRBwLzI2ZC5\nd7Vz1ETUGTHJE7WAvrQE+W9ugGQwIHjRU/AIDMK3v+ZDV1mL0X8Ihben24378JkforRaiwf7xOJ2\nnz72DpuIOikmeaJmMtbWIP/NDTBoS9HtjzPRNWoA9AYjUo7nwMPNBeMGhwIAUnO+QUbxWYT7heG+\nXqPsGzQRdWpM8kTNIEkSrmzfhqqLFyCPuQe+sfcDAI5nXkFxWTVG3BECRRcPXNBexqcXvoTSQ47H\nIx7hfXgisiv+BSJqhpIDX0JMOwqvPrchcO4TEAQBRknC/mM5cBEEjB/SA+W1Fdia/j4kScITkbMh\n95DZO2wi6uSY5ImaUJ5++kZdeqUPQpY+DRd3DwDAr+eLkXetHEMiusNf6YUdmckoqS7FA33GIcy3\nr52jJiJikieyqqawEAXvvAXB1RUhS5+Gm4+vqW3fscsAgAeG9sLXud/h9LUMhPnejvt7j7VXuERE\nZpjkiSwwVFQgb+MbMFZWInDuPHjf9vvV+Y/ZRfgtV4s7+vrD4FWCPb/tg9xdhiciZvE+PBF1GPxr\nRNQIyWhE4ea3UVtYCN/7xkNxz++zxl0tqcCWLzLh7uaCicNV2JL+PoySEU9EzoLSU25lq0REtsUk\nT9SIa7v/jfLTv6JLZBS6/XGmaXlNrQFvfpKOymo95sSG4fC1/Siuuo7xvcdA7dfPjhETETXEJE90\nk7If0lDy5T64BwYieOESCK6uAG68RrfjwFloruow8q4QGPwu4eei0+ir7IMHeo+zc9RERA0xyRPV\nU3XpIq5s2woXLy+ELI2Ha9ffy9F++2sBvj9diF5BckQPdsHuc59B5t4V86Nmw9XF1Y5RExE1jkme\n6D/02lLkv7kekl6PoIWL4RkSYmq7VFiGfx3IRlcvN8SO9sSm9G0AgCciZ8HHU2mniImIrGOSJwJg\nrK1F/lsboS8pQbdpMyC74y5Tm66yFm99kg6DwYhxY93xwYUPAACL7ngC4X5h9gqZiKhJbvYOgMje\nJEnC1fe3o+r8b5APuRu+Eyaa2oyShKTPM3BNW4UhMXocvLYXbi5uWHLHEwjzvd2OURMRNY1Jnjq9\n0tSDKPvuW3j27IXAx+dBEART2xdHL+HX88XoqS5FuuEHeLp6Yuld83Gbsrf9AiYiaiYmeerUKjIz\nUJT8AVwVCoQsewYunp6mtjMXr2PPtxeh6JmPIsWv6OLmjWV3LUAvRQ87RkxE1HxM8tRp1Vy9ivzE\nNwFBQMiSp+Hu529qK9ZW4Z1Pz8At6BJqg7Igc++KZwYuhEoWbMeIiYhahkmeOiVjVSXyN66DsaIc\ngY/Pg3e/3wvZ1OqNeGtPOqp8suDe4xyUHnI8M3AhgroG2jFiIqKWY5KnTkcyGlGQtAk1+XnwGTMO\nyhEjzdo/PJQNjcspuKvOw9fTB88MXIjuXbrZKVoiotZjkqdOp/jTT1D+80/wVocjYOYjZm1H0wvw\nbdEhuKsuwd/LD/EDF8Hf29fCloiIOjYmeepUxJPHcf3zz+AeEICQxUshuP3+EdBcFbHjzMdwD86B\nv2c3PDdoEQvdEJFDY5KnTqMq5zIKtyZB8PRCyLJ4uMpkprbyqhqsPbodLgE58HULwIroJZB7yKxs\njYio42PFO+oU9GVlyN+4HlJNDYIXLISnKvT3NoMe/3s4CbWKy5ChG16KWcoET0ROgUmenJ6k16Mg\ncSP014vhP2UaZAP/YGrTG/V49bsklHlcgkdNN6wcvgxd3bvYMVoiorbDJE9O7+oH/0LluWzIBg2G\n34OTTctrDbX45/GtKDBcgFDujxdjFkPmwQRPRM6DSZ6cWunXh6A9chiePXogaP6TppK11YYabPxp\nKy5V/AajthuWDJiHQKXCztESEbUtPnhHTqvibBaufvg+XGVyhCyLN5WsrdRXIfGXrThfdgmGku6Y\npJqByN7d7RwtEVHbY5Inp1R7rQgFiW8CAIKfWgZ3/xvFbCpqK/DmL1txqSwH+uIgDHAdiweG9rZj\npERE7YfD9eR0jFVVyNu4HgadiO6zHkWXsP4AAF1NOdb9tOlGgr8WAt/rQxE3MdJs1jkiImfCK3ly\nKpLRiMJ3k1CTq4Fy5Gj4jBoDANBWi9jw8yYUlF+BdK0nBE0kls29E96e/AgQdXQTJozB2LH3QavV\nQhAE/OlPf4FMxtdcm4N/4cipXP/iM+hOnYR3WH90n/UoAKCkqhTrf9qEq5XX4Knti9ILt+PJSeEI\nDeAfCSJHoFQq8cILLwEA8vPzEB+/BFu27LDY//DhVIwaNdZW4XVoHK4npyH+eArFez+Bm78/gpfc\nKFl7rfI6/vljIq5WXkP3miiUnr0do/8QipjIIHuHS0StEBKiQnT0UBw5cshin9TUr2wYUcfGK3ly\nCtW5GhRu2QTBwwOqZfFwkytwpaII63/ahNJqLSK87sap40r0CVbikTH9mt4gETWw/8QVnL4k3rRU\ngqtrDoDmP9vi6irAYJAAANHq7pg55vYWxaFWhyMzMwP9+vVHYuIGlJfrMHr0OEyaNBWJiRtw8uRx\nJCS8hP/6r79Aq9Wa+owaNRaTJ09r0b4cHZM8OTyDKN4oWVtdjeDFS+HZoyfydYVY//MmiDU63Bsw\nFqlfekDm7YanpkbB3Y0DWESOTCaTA7hxVf/KK68CAOLi5mDSpKlYsuRpnDt3FqtX/x0A0LWrzKwP\nkzyRA5H0euS/8xZqrxXB78HJkA+OhkbMw8afk6CrLcfk3g/i4JeuMBiqsXByBPyVXvYOmchhTYgO\nxIToQLNler0eQUHBcHNrfjoJCJCjqOjmEYHmy87OQnh4BABg587t0Gq1KCjIt9i/OX2cFS9pyKEV\nJX+AyqxMdB34B/hPnoqL2hys+2kTymsrMCtsBtJPKFBcVo0pI/ogqo+/vcMlolaQJMn0c15eLg4d\nOoiRI8dg587tUKlCsWTJ05DL5Y32t9Sns+CVPDks7TdHUHooFR4hKgTHPYnzZZfx1i9bUGvUY27E\nw8g/54MzFy9hwG3+ePCe3vYOl4haSRRFrFnzd9MrdHXD74MHD0FCwks4fvxYg3oXzz23DCtW/Nlq\nn85AkOp/5XEStzIMRB1fQIAcOUdPQbPm/+Di5YWe/70KF1y1eOfXbdBLBsyPfBSuYgjWffQL/BRe\nWDUvGjJvd3uH3Wnp9XoUFhY0ezjX31+G4mJdO0dFbcUew/VkLiDA8ggFh+vJ4VQXFSH/rY2AJCFk\n8VJkC8VI/PVdGCUjFg6Yix4et2PzZ2fg6ipg6fQoJngi6rSY5MmhGKurkfm3/4NBLEPAw7OQ7W/A\nptPbIUDA4jvnQe3TH2/uSUd5lR6P3heG3kGcWY6IOi/ekyeHIUkSrmzbgvILF6EYfi9+i/DH9jPv\nw93FDUvumId+vn2x/cssXC4UMWxAEO69M8TeIRMR2RWTPDmMkv1fQDxxHHJ1f1wYE4Gdmbvg5eaJ\npXfGoY+yF74/XYDDP+ejR3cZHovt3ykfsiEiqs/pkvyFpHdRWVnzn9/qPVN48+OFZs8bSpabbl5R\nstjR+v7qLWjwrGM77E8ya2vl/hq0SY392EgsVp7ltBKLZGV/MBpRfvpXuPn6oeDh4Xj/3G50de+C\nZXctQE95KHKuiNiechbenm54aloUPN1dLcdARNRJOF2SL/jsc3uHQO3ERSaDZsYwJJ/7DHIPGZ65\nayFCZEGoqKrFW5+ko1ZvxOLJkQj07WLvUImoDd08C11dNbtbodPpMGHCaERHD4UkSRAEAStW/Bl5\nebk4fDjVNCGOJSNGROONN97CoEHRpmWvvfZXFBYW4B//2Njk/j/99BMolUqMHDnGbHl2dhZSU7/C\nkiVPt+7AbuJ0Sf7Of7yOktIKi+3mQ7g3DeeaNd081Cs03u+mBQ1Xa+b+GrRZ3p9gLZY22F/DUe7m\nHXuDFc1Ws3J8DTbZ+P4O5H+Pz3MOws/bB8vuWIDArt0hSRK2fJGJq6WVeODuXhgYFmB5u0TkkFSq\nUFPSPXXqBF5//W9YseLPzVrX2ox0KlVog4QcHByCwYOHNLluSIgKX3990CzJFxTkt8ltwra81eh0\nSf6lrG0wGIwNGywMIVseWG55S0tLDjQYnm7OOhb30dLjs7J/i4tbEW8b7UMCUKmvhL+XL/5nzLNw\nqbxRnvbLH3Lw07lrUPf0wbR7+7Q4PiJyLIMGReP9999rdv/U1K9aPe2stXVlMjnKyspMv2dnZyEs\nTI1z5862al/txemSfI2hBlIjOd6aBleZzVmnkW9agmBtS423WN2zhW9zltaxehwWmiyvY+d4G9FH\n0ROz1TMQKAtAUaWIrMsl+PeR8/CReWDRlCi4uvCNUKL2dPDKN8goO2e+UJLgetnV+ujcTVxdBBiM\nN77QD+w+ANNvf9Bq//oXN4mJGzBlynTT7ytXvojych0mT54GmUyOvXt3Q6lUYsqU6Th48IDZjHRd\nu8osbrdO3XA5AKvrAoBaHYFz586iX7/+SE39CuPGxZol+ZUrX4ROJ0IuV2D16r9Dp9MhPn4JVKpQ\n6HSi6TjqjmHKlOkIDm7bt4KcLsm/M/lVVlLqBErEary9Nx0ugoAlU6Og7Oph75CIqJ3k5+chIeEl\nnD2biejooab72Dt3bseQIXdj0qSpWLnyRSiVSsydOw/9+vUHAPTr199sRjpL25UkCSpVKBYvXgbg\nxgXb4sXLrK4rCAJGjx6LPXs+Rr9+/VFQkI/gYJWpfefO7Rg3LhYjR47BkSOH8Omnn0CnEzF16gxM\nmjQVO3dub/QY5s6d12b/boATJnlyfnqDEYl701FWUYtZY/uhX6iPvUMi6hTGBd6LcYH3mi2zRVlb\nlSrUlGyzs7Pw7LNL8c9/vom8vFyIooisrAyUl+vw+ONxeO+9LSgv12HFij83eVVcf7uNaeoWbHBw\nCLKzs5Cfnwe1OsKsLTMzw3SlXjfvvVKpxKOPjjPb/s3HUF5ebnWfLcUkTw5n2+cZ+C1Xi2h1d4wb\nHGrvcIiondVPtmFhatOUsWp1BBQKhdkT6q+88ipOnjyOvXt3Y/HiZVYT9a1M3VK3bliYGomJG/DU\nU8+YtYeHR+LEiR8watRYnDx5HOHhkQCAEyd+wOTJ06DVaqFShTY4huzsrFbH1BgmeXIoJ7KuYu83\n5xHs3wVPTFCz4A1RJ1BQkG+aha6gIB9/+tNfAMA0xL1nz8eQyxVQq8Nx4sQPEATB7BW0uhnpbr6y\nb87fj6bWHTv2PiQkvITg4BDodL9PrDR79hysXPkiduzYZhoxqLsnf/Lkceh0IiIiIhscw5w5T7T2\nn6lRnIWOHEZBcTlWv3cSAoC/zB0MVbeu9g6JmoGz0Dk3zkJnf9ZmoXO6K/lSsRpl5TWNtln9NtPE\ndx2rr6LdwtekWxsustLW1OtuVtdt9apWg2rySK10MBglvLUnHdU1Bqx4bBATPBFRMzhdkp/zP1/a\nOwRqR+MGheLegaG8CiAiaganS/LD7ghBdY3eYru1OzCtvb1r7b6O9ffKW9VktdVqIblWx9K6jbb+\n37rxRn+lFyYM7WltRSIiqsfpkvyLj0fzKo+IiAgAS4QREVGHNmJEND77bI/p92efXYry8tY9nHny\n5HGsWdP8CW6ys7OQmLjBYlynTp0wW/baa3/Fc88ta9a2P/30Exw5cqhF+2wpJnkiIurQwsLU2Lt3\nt+n3W3l1dvDgIU3OMHczS/urm6Smvrp3+G9VW70ezCRPREQdmkKhwODBQ0xXzR3lzW9Lk9R0JE53\nT56IiJyLIAiYMmU6Xnvtr2ZTuwINJ4GpG+oOCVEhKysTU6ZMNxXIqWtPTf0KY8feZ9Zv/fpEaLVa\nJCZuQHm5DqNHj8OkSVObjK2jT1LDJE9ERM1S9eU+1KafNl8oATmurk29EmTmsquLaUpw+eBoBDz0\nSJPrBAeHQC5XID8/zzSU3dgkMGp1OERRxIoVf0Zi4gbk5+fhlVdeNbtPXrd+Xb+3396IrKxMDBoU\njVdeeRUAEBc3p8kk7wiT1DDJExGRQ3jsscdNc8lLUsNJYN5+eyPU6nCo1eEAAKVSCZUq9D/9pQYP\n69X1UygU0OluvJW1c+d2U/nc5ujok9QwyRMRUbN43f8AvO5/wGyZLcra1p8MJisrE0qlEoLQcBKY\nm5NsS0iShJ07t0OlCsXs2XNx+HBqi+LqqJPU8ME7IiLq0Oo/aT5lynScPHkcwI1JYFJTv0Jc3Byc\nPHkcs2fPadY2LLUPHjwEiYkb8Prrf2vW0+31J6k5d+5sg3vpjcU3efI07N27GwkJL5nu3U+aNBUH\nDx7As88uRULCS2068RYnqCGHw8ktHAsnqHFunKDG/qxNUMMreSIiIifFJE9EROSkmOSJiIicVIdP\n8hqNBvHx8Vi7dq29QyEiInIoHT7JC4KAdevWQaPR2DsUIiIih2KzJN/aJB0aeqOQQY8ePdoyHCIi\nIqdnkySfkZGBGTNmmC1bs2YNDhw4gKSkpCbXF0UR99xzT3uFR0RE5JRskuQjIiLg4+Nj+j0lJQW+\nvr6IjY1FaWkpDhw4AJ1Oh7S0NLP/6qSnpyMmJsYWoRIRETkNm5W1rV9zZ9++fZg4cSIAYMCAAfj+\n++8RGxvbaCJPSkpCWloadu3ahUWLFiE8PNxWIRMRETk0u9SuF0XRdI9doVAgNzfXYt8FCxZgwYIF\ntgqNiNqB0WiEXq9vVl+9Xt/svmR/RqPR3iGQFTZL8vVr8crlcmg0GoSHh6OsrMz0cF1bsVbij5wD\nz7FjCQ72bVH/nj3bKRDqMPgZtg2bPV1ff7h+4sSJpqftNRoNhg0bZqswiIiIOg2bPV2fm5uLzMxM\nADA9cJeSkgKtVovY2FhbhEFERNSpOOUsdEREROQAFe/aSkpKitUH/MjxaDQapKSkNKvWAjkmfm6d\nG8uWt79Ok+RPnz4NUeT8xc5k8+bNGD9+PBQKhVldBXIe/Nw6N5Ytb38OleRv5X+E+sV4yDE0db7z\n8vIA3Ch5zKs9x9OczzM/t46tqXPMsuXtz2GS/K2WxiXHwvPt3Hh+nV9zzzHLlrcvh0nyt1oalxxL\nU+c7JSXFdBWg0WgQFRVlr1CpFZrzeSbH1txzzLLl7cthkjzQsDRu3RBPXWlcmUyGmJgYs//qaDQa\n3vdxME2d7yeffBLJyckQBIHljh1QU+cXAHJycvi5dWDWzvF3332HpKQkbN68GcuXLze9Yk1tyy5l\nbdtCS0rjAsDLL79si7Condx8vvPy8hAaGoqZM2faOTJqC5Y+z6tXr7ZnWNSGGvsMr169mmXL25lD\nXck3VhoXQLuUxiX74/l2bjy/zo/n2P4cKsmzNG7nwvPt3Hh+nR/Psf05TJJnadzOhefbufH8Oj+e\n446BZW2JiIiclMNcyRMREVHLMMkTERE5KSZ5IiIiJ8UkT0RE5KSY5ImIiJwUkzwREZGTYpInclBq\ntRpxcXGYP38+4uLisHbtWnuH1GpJSUmm96nVarVZW1paGubPn29xXVEUkZCQ0K7xETkqh61dT9TZ\nCYKALVu22DuMW1Y3eVTdJEP1S6HWaWxZHblcjuHDhyM5OZlzGRDdhFfyRGRXa9aswZNPPnlL24iN\njcWHH37YRhEROQ8meSInIooi5s+fj1WrVuGjjz4CACQkJCAuLg7Lly839YuPj8eMGTOwZs0a01B4\n3bp1P0+fPt3U/+Zt1LWvXbsW06dPN80NXre9uLg4pKWlIT4+3jQMr9FoEB8f3yDmjIwMq5OV1C/K\nmZKSgvj4eMTHx0OtViMtLc3U5uvr2+RslESdDYfriRyUJElYvnw5JEmCIAhYtGgRQkNDcfToUaSm\npkKlUiE5ORlKpRKrV69GcnKyqW64j48P1q1bh4yMDLN5vOsPi9f9fPM2Dhw4gJiYGOTl5eH555/H\nzJkzsWrVKkiSBFEUsXXrVtM2lEol3n77baxbtw67du3CI488YnYMoihCoVA0elx1P2s0Gvj6+gIA\nxo8fj/HjxyM5ORm+vr6IiYkxradSqaDRaDi7GVE9TPJEDkoQBLzxxhtmy0RRRGRkJFQqFQAgPT0d\nZWVlWLVqFbRaLYYNG4b09HQMHz4cAEzze1vT2DYAICoqCgDg4+OD0tJSHD16tMHMYhEREdDpdBBF\nEZmZmXjhhRcabN/Hx8fqcaWlpSEpKcn0+5kzZ7Br1y58/PHHZuspFAqIotjk8RB1JkzyRA7K0txS\nSqXS9POAAQNQVlaGuLg4s/W+++4706xg9ZWUlAAAcnJyTMuioqIgiqLZNkRRbLD/YcOGmbZb10cu\nl2PBggV4/fXXcf/99zeIVS6Xm+3L2nHVWblyJdavX99om1wut7ouUWfDe/JEDsrSE+f1lz/00EO4\nfPky5s+fj+XLlyMtLQ0zZ85Ebm4u4uLisHnzZlNfuVwOX19frFq1Cvv37zctnzlzZoNt3LwfQRBM\nyb3unnx6ejoAICYmBseOHcNDDz3UrOOw9iR9QkICdDod1qxZYxYLcOPefnNGJog6E041S9SJiaKI\n+Ph4s/voba2srAybN2/G888/32j78uXL8cILL9zyvfQZM2Y0GMIn6ux4JU/UyVm7cr5VycnJSEhI\nwKJFiyz2WbhwITZt2nRL+0lJSWnwUB8R8UqeiDqAtWvX4p577jF7Wr65RFHEmjVr8PLLL7dDZESO\njUmeiIjISXG4noiIyEkxyRMRETkpJnkiIiInxSRPRETkpJjkiYiInBSTPBERkZP6f/W3+2K95QEN\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e0b0518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bode_plot(stf_lo, freq, sym=False, label=\"Data\")\n",
"bode_plot(np.exp(model(freq.value)), freq, sym=False, label=\"Best Fit Model\")\n",
"bode_plot(np.exp(model_init(freq.value)), freq, sym=False, label=\"Nominal Model\")\n",
"plt.ylim(1e-2, 10)\n",
"plt.axvspan(8, 80, color='k', alpha=0.1)\n",
"plt.title(\"Mean transfer function with Model\")\n",
"plt.legend(loc='lower right')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def gauss_freq_weighting(freq):\n",
" sig = np.max(freq)/4.0\n",
" w = np.exp(-0.5 * (freq/sig)**2.0)\n",
" return w"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model: TransferFunction\n",
"Inputs: ('freq',)\n",
"Outputs: ('y',)\n",
"Model set size: 1\n",
"Parameters:\n",
" tau gain integrator rate \n",
" ----------------- --------------- -------------- ------\n",
" 0.000851399308583 0.0432396625343 0.995857859809 1000.0\n"
]
}
],
"source": [
"model_init_fit = TransferFunction(tau=1.0 / 1000.0, gain=0.02, integrator=0.998, rate=1000)\n",
"select = (np.abs(freq.value) < 8.0) | (np.abs(freq.value) > 80.0)\n",
"model = f(model_init_fit, freq[select], np.log(stf_lo[select]), weights=gauss_freq_weighting(freq[select]))\n",
"print(model)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x10f1492b0>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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AV2dun2TotINH4M+/mEteeiwna5tIS9XT4nXh8DlxeJ3tv3udOE7/dHqc+Brr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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ef91a58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bode_plot(stf_lo, freq, sym=False, label=\"Data\")\n",
"bode_plot(np.exp(model(freq.value)), freq, sym=False, label=\"Best Fit Model\")\n",
"bode_plot(np.exp(model_init(freq.value)), freq, sym=False, label=\"Nominal Model\")\n",
"plt.ylim(1e-2, 10)\n",
"plt.axvspan(8, 80, color='k', alpha=0.1)\n",
"plt.title(\"Mean transfer function with Model\")\n",
"plt.legend(loc='lower right')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Mid-order transfer function\n",
"We can conduct the same excercisze for modes 40 to 100"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10f32c5c0>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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KpRLxePw9zz03dxWLxcKOHTs/iksBIJvNUiisoesdNE1lZGQMwzCo1WoUCgVKpRIWi5Vm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sHRUYlyuYTJJHBwUKDTaTEYDADo93Xnung8ysLCIpKk69xfvHhpKoTjx+v10evpJf070+mlUpFe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\nAMBQhDwAAIYi5AEAMBQhDwCAof4DPy+iUAbUVz4AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f0228d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bode_plot(transfer_functions[:,40:100], freq, alpha=0.1, c='k')\n",
"plt.ylim(1e-2, 10)\n",
"plt.title(\"Transfer Functions for {}, modes 40-100\".format(case))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10f535208>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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VGhKk576WovtTZvu7LADDNOSQtyxLGzduVHV1NbvtAIM0XmnV//l5lY7UNmjW\ntKn6d4+nyhEb4e+yANyCIYf83//93ysiIkIul0vbtm1TZWUld6UDAtyxukb9808r1dDUqrtvj1X+\n2mSGnQUMMOR38eOPPy6bzaaVK1fq9ddfV3x8/GjUBWAMWJaldz+p0679R9VpWVr34EKtWp7AXjrA\nEEMO+WeffVZ5eXlqampSRAS78oBA1dLaoR+WHtHB6nOyTw3RX39tiZLnT/N3WQBG0JBDPjU1VcuW\nLZPNZlNUVJR27Nih5OTk0agNwChxnW/Sq7+sVt2FK1o4N1J/8xep3L8dMNCQQ764uFj79++X3W6X\nJO3evZuQBwJEe0en9lSc0i8PnFRHp6WH747T+kcWM+Y8YKghh3xGRoYv4AEEjtpzXr3+do1qzzcp\nxj5Z/2ZVkpYunO7vsgCMoiGHfGVlpdxut+Lj41VeXi5JWrdu3YgXBmBktHd06u2KU/rVH3vvDyyd\no/UPL9bUMM6eB0w35Hf5iy++qKKiIr399ttKS0tjDHtgHKs959XOt2vk+mPv/enVSUpbQO8dmCgG\nHfJOp1N/93d/p3nz5unb3/72aNYE4Ba1d3TqVwdO6u2KU+rotPSVpXP0JL13YMIZ9Dv+1Vdf1aZN\nm+RyubRz507GqwfGqd6992dWJymV3jswIQ065B0Oh2+c+sLCwlErCMDw9O69r7hjjvIeovcOTGSD\nfvd7vV4dOXJElmXJZrP5ft61a5e2bt06mjUCGEBbe6cOOs9q78Fana2/qmmR14+9p95G7x2Y6GyW\nZVmDmTEpKUlRUVHqPbvX61VNTc2oFDdcFy54/V0CRlFsrJ02lnS1uV3vH67TOx+51NDUquAgm1bc\nMVdPPLgwoMedp33NRxuPrNjY/i9rH/Qnwfe//32lp6ffML2iomJ4VQEYloamFr3zkUvvfVqnay0d\nmhwarJXL4pV1bzyj1gHoYdAh31fADzQdwMg6c+mK9n1Yq4rqs2rvsBQZHqo198/TQ3fFaWpYiL/L\nAzAODSrkS0pK5PV6b9hVL8l3tyrLshQVFcXAOMAIO1bXqL0HT+nToxdlSZoVM0WrlicoI3W2QiYF\n+7s8AOPYoEI+Ly9vtOsA0E2nZemz45e09+ApHXU3SpJumxOpNfcn6K7FsQoK4lawAG4ucM/OAQzU\n3tGpg9XntO9QrU5fvCJJWrpwulYvT9Dt8dHc5x3AkBDywDjQaVk65DynN98/rkueFgUH2ZSROlur\nliXIMTOgWLHjAAAOlUlEQVTC3+UBCFCEPOBnR90N2rX/mE6c8WhSsE1Z98Zr5TLOlAdw6wh5wE8u\nNFzTT947ro+OnJckLUueqdyvLlRs9BQ/VwbAFIQ8MMauNrfr7YqTeudjl9o7LC2YG6n1Dy/WIkeU\nv0sDYBhCHhgjHZ2d+u2np/XT351Q07U2TY+crNwHF2p58ixOqAMwKgh5YAx8dvySSn5zTKcvXtHk\n0GDlfnWBsu6NV2gI17kDGD2EPDCK3BeaVPLuMVWdqJfNJq24Y64eX7FAUeGh/i4NwARAyAOjoPFK\nq37+uy/1/uHTsiwpZX6Mnnx4seK5HA7AGCLkgRHU1t6hso9cervilJpbOzRn+lQ9+fAipS2YznF3\nAGOOkAdGgGVZ+ujIee3+zXFd8jQrYkqIvpm9UCvumKtJwUH+Lg/ABEXIA7foeF2jdu0/quOnPQoO\nsmnVsgQ9ljGPO8MB8DtCHhimi43XB7M5VHN9MJt7E2P1xIMLNTNmqp8rA4DrCHlgiNraO7X3w1P6\n1YFTau/o1PzZdq1/ZLFuj4/2d2kA0AMhDwxBzcl6/ajsC52rv6qoiFCte3Ch7l8yW0GcVAdgHCLk\ngUFovNKq4neP6mD1Odls0iP3OPT4VxZoahhvIQDjF59QwAA6LUvvf3paP3nvuK61tGv+bLueWpWo\n+bMj/V0aANwUIQ/0o/acVz8q/VxfnvZoyuRg/WXW7XrorjgFBbFrHkBgIOSBXq61tOtnvzuhX//e\nJcu6fgvY9Y8sVnTEZH+XBgBDQsgDf2RZln7/+QW9sf+oLntbNDNmiv4qO1FLbpvm79IAYFgIeUDS\nhYZr+vE7X+iz45c0Kdimr2XO19r0eQqZxF3iAAQuQh4TWntHp/Z9WKtfHjiptvZOpcyP0TezEzV7\nGgPaAAh8hDwmrM9rL+tHpZ/rzKWrigwP1TNrFml58ixuJAPAGIQ8JhzP1VbtfveYyqvOyibpobvj\nlLtiAWPNAzBOQIR8aWmplixZIofD4e9SEMA6LUu/O3z9mvcrze1KmBWhp1YmacFcrnkHYKaACPnK\nykolJCT4uwwEMNf5Jv2o9IiO13kUFhqsrz+yWA/fE6fgIG4DC8BcYxbyLpdL8fHxw1o2Opobf2B4\nmlvb9YsPTqrsI5c6LUv3Js3U1x9ZrBg717wDMN+YhLzT6dTTTz+tQ4cO+aYVFhZq6dKlqq2t1caN\nG8eiDEwglmXpD0cv6l9//YXqPS2aERWmb2YnaunC6f4uDQDGzJiEfEpKSo/eeGlpqWJiYpSdna3C\nwkKVlZUpIyNDlZWVPZZLT08fi/JgmIuN1/Sv7xzVp8cuKjjIpscy5uux9HkKDeGadwATy5jtrrcs\ny/fznj17tHbtWklSWlqaysvLlZ2d3W+ou1wuuVwuJScnj0mtCEztHZ165yOXfl5+Qq1tnUpKiNZf\nrUzUnOnh/i4NAPzCLyfeeb1e3/H5yMhIud3uAeffunXrWJSFAPaFq0H/t/Rz1V28IvvUED21MlHp\nS2ZzzTuACW3MQr77h63dbvf1zD0ez4hfGhcbax/R9WH86WrjxqYW/fBtp945VCtJWpU+X0+tSZZ9\naqg/y8Mt4j1sPtp4bPhld/3atWvlcrkkXd8Vn5mZOaLPdeGCd0TXh/ElNtauc+c9Kq88o92/Oa6m\na21yxEboqVWJWhQXpeYrLWq+0uLvMjFMsbF23sOGo41H1kBfmMbkImGn0ym3262amhpJUnZ2thoa\nGlRaWqrGxkZlZ2ePRRkwxKmzHv3jjz/R9/ccUVt7p558eJFefuZeLYqL8ndpADCu2KzuXWxD8A3R\nTC2tHfrFgRMqO+RSR6ele26P1dcfXaxpkWH+Lg0jiF6e+WjjkTVQTz4gRrwbin/+yWFda24b3MxD\n/H4z1G9DQ//6NMR6hrj+US5H1tAXGJIjtQ265GnWzJgpWv/IYt25aMbQVgAAE4xxIb+34qS/S8Ao\nCQ6yac398/TMn6fK23jN3+UAwLhnXMh/71sP6fLlq4Oef7SvsBrqJVxDLmeICwx9/aNb/1DmnxI2\nSeFhIQoLnSR29AHAzRkX8gmzIzUlmGujAQDgFlwAABiKkAcAwFCEPAAAhiLkAQAwFCEPAIChCHkA\nAAxFyAMAYChCHgAAQxHyAAAYipAHAMBQhDwAAIYi5AEAMBQhDwCAoQh5AAAMRcgDAGAoQh4AAEMR\n8gAAGIqQBwDAUIQ8AACGIuQBADAUIQ8AgKEIeQAADEXIAwBgKEIeAABDEfIAABiKkAcAwFCEPAAA\nhiLkAQAwFCEPAIChCHkAAAxFyAMAYChCHgAAQxHyAAAYipAHAMBQhDwAAIYi5AEAMBQhDwCAoQh5\nAAAMRcgDAGAoQh4AAEMR8gAAGIqQBwDAUIQ8AACGIuQBADAUIQ8AgKEIeQAADEXIAwBgKEIeAABD\nEfIAABiKkAcAwFCEPAAAhiLkAQAwFCEPAIChCHkAAAxFyAMAYChCHgAAQxHyAAAYipAHAMBQhDwA\nAIYi5AEAMBQhDwCAoQh5AAAMRcgDAGAoQh4AAEMR8gAAGIqQBwDAUIQ8AACGIuQBADAUIQ8AgKEI\neQAADEXIAwBgKEIeAABDEfIAABiKkAcAwFCEPAAAhiLkAQAwFCEPAIChCHkAAAxFyAMAYChCHgAA\nQxHyAAAYipAHAMBQhDwAAIYi5AEAMBQhDwCAoQh5AAAMRcgDAGCocR/yLpdLBQUF2r59u79LAQAg\noIz7kLfZbNqxY4dcLpe/SwEAIKCMWcgPN6QdDockKT4+fiTLAQDAeGMS8k6nU7m5uT2mFRYWqqys\nTEVFRTdd3uv1KiMjY7TKAwDASGMS8ikpKYqOjvb9XlpaqpiYGGVnZ6uhoUFlZWVqampSRUVFj39d\nqqqqlJ6ePhalAgBgjElj9USWZfl+3rNnj9auXStJSktLU3l5ubKzs/sM8qKiIlVUVKi4uFibNm1S\ncnLyWJUMAEBAG7OQ787r9fqOsUdGRsrtdvc778aNG7Vx48axKg0AAGOMWcjbbDbfz3a7XS6XS8nJ\nyfJ4PL6T60ZKbKx9RNeH8Yc2Nhvtaz7aeGyM2dn13XfXr1271ne2vcvlUmZm5liVAQDAhDFmZ9e7\n3W7V1NRIku+Eu9LSUjU2Nio7O3ssygAAYEKxWd272AAAwBjjfsS7kVJaWjrgCX4IPC6XS6WlpYMa\nawGBifet2Ri2fPRNmJCvrKyU1+v1dxkYQa+99ppWrlypyMjIHuMqwBy8b83GsOWjL6BC/lb+ELoP\nxoPAcLP2rqurk3R9yGN6e4FnMO9n3reB7WZtzLDloy9gQv5Wh8ZFYKG9zUb7mm+wbcyw5aMrYEL+\nVofGRWC5WXuXlpb6egEul0upqan+KhXDMJj3MwLbYNuYYctHV8CEvHTj0Lhdu3i6hsaNiIhQenp6\nj39dXC4Xx30CzM3a+9lnn1VJSYlsNhvDHQegm7WvJNXW1vK+DWADtfEHH3ygoqIivfbaa9q8ebPv\nEmuMLL8MazsShjI0riRt3bp1LMrCKOnd3nV1dXI4HMrLy/NzZRgJ/b2fX3nlFX+WhRHU13v4lVde\nYdjyURZQPfm+hsaVNCpD48L/aG+z0b7mo439L6BCnqFxJxba22y0r/loY/8LmJBnaNyJhfY2G+1r\nPtp4fGBYWwAADBUwPXkAADA0hDwAAIYi5AEAMBQhDwCAoQh5AAAMRcgDAGAoQh4IUElJScrPz9eG\nDRuUn5+v7du3+7ukYSsqKvJdT52UlNTjsYqKCm3YsKHfZb1er7Zs2TKq9QGBKmDHrgcmOpvNpp07\nd/q7jFvWdfOorpsMdR8KtUtf07rY7XY98MADKikp4V4GQC/05AH4VWFhoZ599tlbWkd2drZ27do1\nQhUB5iDkAYN4vV5t2LBBL7/8snbv3i1J2rJli/Lz87V582bffAUFBcrNzVVhYaFvV3jXsl0/5+Tk\n+ObvvY6ux7dv366cnBzfvcG71pefn6+KigoVFBT4dsO7XC4VFBTcULPT6RzwZiXdB+UsLS1VQUGB\nCgoKlJSUpIqKCt9jMTExN70bJTDRsLseCFCWZWnz5s2yLEs2m02bNm2Sw+HQgQMHtH//fsXFxamk\npERRUVF65ZVXVFJS4hs3PDo6Wjt27JDT6exxH+/uu8W7fu69jrKyMqWnp6uurk4vvPCC8vLy9PLL\nL8uyLHm9Xr3++uu+dURFRelf/uVftGPHDhUXF2v9+vU9tsHr9SoyMrLP7er62eVyKSYmRpK0cuVK\nrVy5UiUlJYqJiVF6erpvubi4OLlcLu5uBnRDyAMBymaz6Tvf+U6PaV6vV0uWLFFcXJwkqaqqSh6P\nRy+//LIaGxuVmZmpqqoqPfDAA5Lku7/3QPpahySlpqZKkqKjo9XQ0KADBw7ccGexlJQUNTU1yev1\nqqamRi+++OIN64+Ojh5wuyoqKlRUVOT7vbq6WsXFxXrzzTd7LBcZGSmv13vT7QEmEkIeCFD93Vsq\nKirK93NaWpo8Ho/y8/N7LPfBBx/47grW3eXLlyVJtbW1vmmpqanyer091uH1em94/szMTN96u+ax\n2+3auHGjtm3bplWrVt1Qq91u7/FcA21Xl5deeknf/e53+3zMbrcPuCww0XBMHghQ/Z1x3n36unXr\ndOrUKW3YsEGbN29WRUWF8vLy5Ha7lZ+fr9dee803r91uV0xMjF5++WXt3bvXNz0vL++GdfR+HpvN\n5gv3rmPyVVVVkqT09HQdPHhQ69atG9R2DHQm/ZYtW9TU1KTCwsIetUjXj+0PZs8EMJFwq1lgAvN6\nvSooKOhxHH2keTwevfbaa3rhhRf6fHzz5s168cUXb/lYem5u7g278IGJjp48MMEN1HO+VSUlJdqy\nZYs2bdrU7zzPPfecXn311Vt6ntLS0htO6gNATx7AOLB9+3ZlZGT0OFt+sLxerwoLC7V169ZRqAwI\nbIQ8AACGYnc9AACGIuQBADAUIQ8AgKEIeQAADEXIAwBgKEIeAABD/X8/KHqXuPJJoQAAAABJRU5E\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f201b70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"stf_mid = transfer_functions[:,40:100].mean(axis=1)\n",
"stf_mid *= (1.0/stf_mid[np.abs(freq) > 50 * u.Hz].mean())\n",
"bode_plot(stf_mid, freq, sym=False)\n",
"plt.ylim(1e-2, 10)\n",
"plt.title(\"Mean mid-order transfer function for {}\".format(case))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model: TransferFunction\n",
"Inputs: ('freq',)\n",
"Outputs: ('y',)\n",
"Model set size: 1\n",
"Parameters:\n",
" tau gain integrator rate \n",
" ---------------- --------------- -------------- ------\n",
" 0.00100435462744 0.0698852377924 0.958123519757 1000.0\n"
]
}
],
"source": [
"model_init_fit = TransferFunction(tau=0.001, gain=0.07, integrator=0.97, rate=1000)\n",
"model = f(model_init_fit, freq, np.log(stf_mid), weights=gauss_freq_weighting(freq), maxiter=1000)\n",
"print(model)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x10f81fc88>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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UaDUaNGo1umgUXSSCNhxBFwyjDYTQ+sNo/GHU/iDqQBgVoKAiqtIQUWuJqjSEdHqCej1B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\nXsSVK/ED4koy1O0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fT+Nvf03U7+fVzOvpMCTxnZUzWFj81Vra4WiYl2te5+DndnLqZqLV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\nIplikiciIpIpJnkiIiKZYpInIiKSqf8HIHALPDFMRDUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f6f99e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bode_plot(stf_mid, freq, sym=False, label=\"Data\")\n",
"bode_plot(np.exp(model(freq.value)), freq, sym=False, label=\"Best Fit Model\")\n",
"bode_plot(np.exp(model_init(freq.value)), freq, sym=False, label=\"Nominal Model\")\n",
"bode_plot(np.exp(model_init_fit(freq.value)), freq, sym=False, label=\"Guess Model\")\n",
"\n",
"plt.ylim(1e-2, 10)\n",
"plt.title(\"Mean transfer function with Model\")\n",
"plt.legend(loc='lower right')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## High order modes"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10fa09cc0>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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rq2u4XC5CoRCLi4tUq1X27NlLsVjCMHTi8TVWV2O3XN7boVLZeXXAtXfh1+62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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f1f84a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bode_plot(transfer_functions[:,180:], freq, alpha=0.1, c='k')\n",
"plt.ylim(1e-2, 10)\n",
"plt.title(\"Transfer Functions for {}, modes 180-224\".format(case))"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10f915908>"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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lJYF5w+Pj47V79255PJ4B9/Huf1i87+fBbZSWliorK0s1NTV67rnn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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f1969b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"stf_high = transfer_functions[:,180:].mean(axis=1)\n",
"stf_high *= (1.0/stf_high[np.abs(freq) > 50 * u.Hz].mean())\n",
"bode_plot(stf_high, freq, sym=False)\n",
"plt.ylim(1e-2, 10)\n",
"plt.title(\"Mean mid-order transfer function for {}\".format(case))"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model: TransferFunction\n",
"Inputs: ('freq',)\n",
"Outputs: ('y',)\n",
"Model set size: 1\n",
"Parameters:\n",
" tau gain integrator rate \n",
" ---------------- -------------- -------------- ------\n",
" 0.00100837889398 0.114911337888 0.931834440438 1000.0\n"
]
}
],
"source": [
"model_init_fit = TransferFunction(tau=0.002, gain=0.09, integrator=0.995, rate=1000)\n",
"model = f(model_init_fit, freq, np.log(stf_high), weights=gauss_freq_weighting(freq), maxiter=3000)\n",
"print(model)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x10fe8d048>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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RKSnEZaXjj3UQmZZGZHoGkekZWOLOfQx9zeZjbD9Yx2X5afyhaF/X/WMy47l+RjZ+v0HB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\n6r9wmCRdOCQS8AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10fd99908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bode_plot(stf_high, freq, sym=False, label=\"Data\")\n",
"bode_plot(np.exp(model(freq.value)), freq, sym=False, label=\"Best Fit Model\")\n",
"bode_plot(np.exp(model_init(freq.value)), freq, sym=False, label=\"Nominal Model\")\n",
"plt.ylim(1e-2, 10)\n",
"plt.title(\"Mean transfer function with Model\")\n",
"plt.legend(loc='lower right')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.4.4"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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