{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "LISA Analysis Tools is a group of code packages that brings together many different aspects of LISA data analysis. In this tutorial, we will describe the functionality of the main high-level package: `lisatools`. This includes defining sensitivity, orbit, and other information. Also, this includes computing many basic waveform-level diagnostics. \n", "\n", "The documentation for `lisatools` can be found [here](https://mikekatz04.github.io/LISAanalysistools).\n", "\n", "If you use this code, please cite the [zenodo](https://zenodo.org/records/10930980). " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from eryn.utils import TransformContainer\n", "\n", "from lisatools.sensitivity import *\n", "from lisatools.utils.constants import *\n", "from lisatools.diagnostic import *\n", "from lisatools.detector import EqualArmlengthOrbits, ESAOrbits\n", "from lisatools.detector import LISAModel\n", "from lisatools.detector import get_available_default_lisa_models\n", "from lisatools.detector import scirdv1\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## LISA Sensitivity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will begin with generating the LISA sensitivity. You can do this with the `lisatools.sensitivity.get_sensitivity` function. Some helpful keyword arguments:\n", "* `sens_fn`: Type of sensitivity response function. Base sensitivity or TDI sensitivity. Base sensitivity: `LISASens`. TDI sensitivities are shown below.\n", "* return_type: PSD, ASD, or characteristic strain." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Characteristic Strain')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = np.logspace(-5, -1, 10000)\n", "Sn = get_sensitivity(f, sens_fn=LISASens, return_type=\"char_strain\")\n", "plt.loglog(f, Sn)\n", "plt.xlabel(\"Frequency (Hz)\")\n", "plt.ylabel(\"Characteristic Strain\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Stock sensitivity options can be found with `lisatools.sensitivity.get_stock_sensitivity_options`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from lisatools.sensitivity import get_stock_sensitivity_options" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['X1TDISens',\n", " 'Y1TDISens',\n", " 'Z1TDISens',\n", " 'XY1TDISens',\n", " 'YZ1TDISens',\n", " 'ZX1TDISens',\n", " 'A1TDISens',\n", " 'E1TDISens',\n", " 'T1TDISens',\n", " 'X2TDISens',\n", " 'Y2TDISens',\n", " 'Z2TDISens',\n", " 'LISASens',\n", " 'CornishLISASens',\n", " 'FlatPSDFunction']" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "get_stock_sensitivity_options()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### PSD for TDI channels X,Y,Z" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the TDI X,Y,Z channels (`X1TDISens`, `Y1TDISens`, `Z1TDISens`) and cross-sensitivity (`XY1TDISens`, `YZ1TDISens`, `ZX1TDISens`). The \"1\" here represents TDI generation 1. TDI 2 is available, but not the cross-terms yet. They need to be added. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'PSD')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Yl156Cfv27cPmzZvh5OTUousAwC+//IJXX30Vq1evrtMidjONRoM1a9bA3t4e+/fvR3V1dYuvR0REwMFMXYIU0dU8Joe8GVuQ2oO1va4lR6prG2Dv3r344IMPsG3bNrz55puYNWsW/vjjjwYtN7VJUUuTo5vP09Q51q1bh6VLl2LLli3o1atXi69x5swZPPzww1iwYAGmTZvW5HFLly7F+fPnkZKSglGjRuGtt97CokWLWnxdIqKO7uDF2gSpk8SRGI4JUnsQBIO6uaRSXl6O2NhYzJkzB6NHj0a3bt3Qv39/rFixAnPmzGnXWFJTUzFr1iy8/fbbGDt2bIvPU1xcjAkTJmDkyJG3rF86ceIEFi9ejG+++QZ9+/bF8uXL8dBDD2HixIkYMGBAi69PRNRR5ZeocOFqOQRB18Vmbpggkd7ChQshiiLefvttAEBgYCCWLl2K+fPnIyYmBoGBge0SR0FBASZOnIioqCg8+uijyMnJqbNfLpejc+fOtz2PKIp45JFHUF5ejvfeew+5ubkNjuncuTNEUcSMGTMwefJk/TxQU6ZMwZQpUxAbG4ukpKRWt5QREXU0tfVHvb2czGv+oxqsQTKQpU4UuWvXLiiVSqxevRr29je65Z5++mkMHz4cs2bNuu2iwrVee+21ViVTW7ZswYULF/DLL7/Ax8enwePm731gYCBee+21Rs9z8eJF/Pzzz7h48SKCgoIaPVdWVhbeeustXL58GR9//HGd9yuVSly5cgVvvfVWiz8LEVFHdfhibYG2+XWvAYAgNve3HtVRXFwMFxcXFBUVNSgwrqysREZGBrp16wZbW1uJIpTOjBkzIAgC1qxZ06bXKS8vh7u7O3799VdERUW16bUa09HvMxHRrTy8cj/2nruKd6b0x/TBAVKHo3er3983Y78BGZUoiti5c2eD5Ujawo4dOzBmzBhJkiMiImqaKIo4kV0MAOjn6yJxNC3DBImMShAEXLhwoV2uNW7cOIwbN65drkVERM136XoFiirUsJYLCPJq+RQtUmINEhERERlVbetRkJcTbKzMM9Uwz6iJiIjIZJ3ILgIA9PNtusbH1DFBMpCljmIjIiIyltoWpJAu5ll/BDBBMpghS41wgKBl4/0lImrc8ctsQaJGWFvrJsQqLy+XOBJqS7X3t/Z+ExERcK2sCnklKgBAH2/zTZA4iq0NyOVyuLq6Ii8vDwBgb2/fqlXoybSIoojy8nLk5eXB1dUVcrlc6pCIiEzG2bxSAEAXVzs4KMw3zTDfyE2ct7c3AOiTJLI8rq6u+vtMREQ66XklAIBeXo4SR9I6TJDaiCAI8PHxgaenJ9RqtdThkJFZW1uz5YiIqBG1LUi9PJkg0S3I5XL+IiUiog7jRoJknhNE1mKRNhERERlNeq4uQerJLjYiIiIyFSWVauw5exWncoqRV6KCKIrwdrbDAD8XDO/pDoVV2/VqFFeqkVNcCQDoeXMXm6oU2P0ecD0DCH8U6BndZjEYCxMkAymVSiiVSmg0GqlDISIiAqAbXbvv3FWs2pOBXWfyodY0Pk+bs60VnhzRHbNHdIedjfETpXM13Wtezgo429ZMgVJdBXw5EbhUM3/giU3Aoz8APe8y+vWNSRA5212LFBcXw8XFBUVFRXB2Nt95HoiIyLylZhXi9Z9O4PDFQv227h4OGNi1E/w62UGAgIvXyvHX2XzkFuvmJ+rp6QjlwwPR29u4dULfH7yE+RuO4I6e7vj6yaG6jTvfAXa+Bdi6AL7hwPmdgEcQ8OwBQNb+lT7N/f3NFiQiIiIzVKqqxps/p2FdchYAwNZahmkR/nh8WFf08mqY+Gi1In4+dgVv/pyGs3mlmLZiL9bOGoIwf1ejxXThahkAoKu7g25DxXVg38e6r8e9D/S6B1gWAhScATJ2Aj3GGO3axsYibSIiIjNz+OJ1jPtotz45mjLQD4kvjMYbE0MaTY4AQCYT8ECoL359bgQiunZCcWU1ZqxK0ic1xnDhqm6Fga5u9roNh9YCqmLAMxjoNxmwdQb6TdLtO/mT0a7bFpggERERmZGv9l/AtBX7cOFqObq42mH9U0Px3oOh8HS2bdb73R0VWPtEJEL9XVFUocZTaw+iUm2cutoL12oSJHd7QBSB1G91O4Y8faM7rc943XP670a5ZlthgkRERGQGqjVavPa/E3hl03FUa0WMG+CDX54bgSHd3Q0+l4PCCv99LAIejgqczi3BR9vTjRLjxZrWqAA3ByDnKJB/EpArgOCJNw4KGAoIMqAoCyjONsp12wITJCIiIhNXUaXB7LUpWLM3EwDwwtje+PihcLjYtXyxbC9nWyyZFAIA+DTxPM7klrQqxuJKNa6X61aOCHC3B05t0e0Iugewc71xoMIR8Oyn+zorqVXXbEtMkIiIiExYqaoasauTsON0PmytZVjx6EDEje5plEXQx/bzxj3BXtBoRby37XSrznWxpv7Iw9EGjgor4Owfuh1B9zY82DdM95x7olXXbEtMkIiIiExUUbkaj352AAcyrsFJYYUvZw3BvSE+Rr3GC2N7QyYAv53IxbFLRS0+T22BdoCbPVB2Fbh8SLejRyPzHXXurXsuONPi67U1i0+QCgsLMWjQIISFhSEkJAQrV66ss3/p0qXo168fQkJC8NVXX0kUJRERUV0llWo8tuoAUrMK4Wpvja9nD8HgQDejX6eXlxMeCPUFAKzak9Hi81y4dtMQ//M7AIiAVwjg3EhC5xGkey4wTu1TW7D4BMnJyQmJiYlITU3FgQMH8NZbb+Hq1asAgGPHjuGbb77BwYMHkZycjI8//hiFhYXSBkxERB1epVqDWV+k4OilIrg52GDdU0MxwM+1za73xJ3dAAA/H81GfomqRefIqhnB5u9mD1zcp9vYbVTjB9cmSFfPAlpti67X1iw+QZLL5bC3183HoFLp1qSpnTz85MmTGDZsGGxtbWFnZ4fQ0FBs3bpVynCJiKiDq6rWYs5XB5FU06229olI9PFu2xUbBvi5IjzAFWqNiO9Sslp0jsuFujXY/DrZ3Si+9h/c+MEu/rqRbBoVUJbXouu1NckTpMTERIwfPx6+vr4QBAGbNm1qcIxSqURgYCBsbW0xZMgQJCUZVvVeWFiI0NBQ+Pn54YUXXoCHhwcAICQkBDt37kRhYSGuX7+OnTt34vLly8b4WERERAbTakXM33BEX5D9eexghHRxaZdrPzQ4AADwv9SWDb2/UlgBAOhir7lRfO0X2fjBcivA0Vv3dbFp/t6VPEEqKytDaGgolEplo/vXr1+P+Ph4LF68GIcOHUJoaCjGjh2LvLwbGWdtfVH9R3a27ia7urriyJEjyMjIwDfffIPc3FwAQHBwMP7+979jzJgxmDx5MoYOHQq5vO1WOSYiIrqV934/jf8dyYaVTMCKRyMQ2c34NUdNGRviDRu5DKdzS3Aqp9jg918p0rUgBapOA6IGcO4CuHRp+g3OuronU50LSfK12GJiYhATE9Pk/vfffx+zZ8/GzJkzAQArVqzAli1bsGrVKixYsAAAkJqa2qxreXl5ITQ0FLt378bUqVMBAE8//TSefvppAMCTTz6JXr16NfpelUoFlepGv2xxseH/eIiIiJryXUoWlDvOAQDenjIAUb092/X6LnbWGNW7M35Py8XPR64Y1K1XUqlGqaoaANC56Khuo18T3Wu1nH2BywCK2IJksKqqKhw8eBDR0dH6bTKZDNHR0di3b1+zzpGbm4uSEt3kV0VFRUhMTETv3r31+2tbok6fPo2kpCSMHTu20fMkJCTAxcVF//D392/pxyIiIqpj77kCvPTjMQDA3NE9MTXCT5I4YkJ03V5/njKsLqi29cjFzho2ecd1G7sMvPWbnGtal0y0i03yFqRbKSgogEajgZeXV53tXl5eOHXqVLPOceHCBTz11FP64ux58+ahf//++v0TJkxAUVERHBwcsHr1alhZNf4tWbhwIeLj4/Wvi4uLmSQREVGrncsvxTNfHkS1VsT9A3wQf3eQZLGMDOoMAEi7Uoy84spmr++WXVN/5ONie6P+yCvk1m9y0NUDo/xai2JtayadIBlDZGTkLbvgmtsSpVAooFAooFQqoVQqodEYZ2E/IiLquEoq1XhqbQqKK6sR0bUTlk4LhUzW+hmyW8rDUYEBfi44eqkIu87kY9qg5jUE6OuPnAUgS9dNeNsEyb6mvqrCNBMkk+5i8/DwgFwu1xdV18rNzYW3t7ckMcXFxSEtLQ3JycmSXJ+IiCxD7Yi1c/ll8Ha2xYpHI2BrLf1AoaiaVqTE9IJmv6d2BNsAxRVA1AL2HoDjbWqo7GsW2S2/2qI425pJJ0g2NjaIiIjA9u3b9du0Wi22b9+OYcOGSRgZERFR6yzfdQ6/nciFjVyGFY9FoLOTQuqQAABDu+sSl5TM5rfsZNe0IPURLuo2eIcAt1srzq6mBYldbI0rLS3F2bNn9a8zMjKQmpoKNzc3BAQEID4+HjNmzMCgQYMQGRmJZcuWoaysTD+qrb21Rxfb0UuFbTpjKhERSWvXmXwsrVkc9t8T+iHM31XagG4SFuAKuUzAlaJKXC6sQBdXu9u+J6cmQQpQ1yxVcrvuNeBGCxK72BqXkpKC8PBwhIeHAwDi4+MRHh6ORYsWAQCmT5+OpUuXYtGiRQgLC0Nqaiq2bt3aoHC7vbR1F9uqvzLwwMd78PGf6foZv4mIyHJkXSvH3789DFEEHor0x98iA6QOqQ57Gyv089UN8W9uK1JusS5B8qioSZA692nGhWprkK6b5HIjkrcgRUVF3TYRmDt3LubOndtOEd1aW7cg5Zfq5lpauu0MLhdW4I0JIbCSS57HEhGREVRVaxH3zSEUVagR6u+K1x7oJ3VIjYro2glHLxXh4IXrmBB2i8kea9T+7nIozdRt8Gh8TsE67DrpnkUtoCoG7FxbFmwb4W9eA7V1C9KL9/bBvyf0gyAA3yZlYfbaFJTVTL5FRETm7Z2tp3D0UhFc7a2x/JGBUFhJX5TdmIEBuuTl6KWi2x6r1mhRWK6GAlWwKq2ZFdutx+0vYqUAZNa6r6vKWhpqm2GCZIIeHxaIFY9GQGElw47T+Xho5f4Wr65MRESmYfvJXHz+l64LaunUUPg2o7ZHKrVdbKdyiqHR3rqX52ppFQCguzwPAkRA4XJjjqPbsXHQPVeVtjjWtsIEyUSN7eeNb58aCjcHGxy9VITJy/fgXL7p/QMiIqLbu1JUgX9uOAIAeOKObogOlqaOFgCgrgSO/whsfwP4axmQd7LBIV3dHWBvI0elWouMglu37tT+AR9iVzMtgHv3249gq6Vw0j0zQTJ/SqUSwcHBGDz4NmvMGMHAgE74Yc5wdHW3R9a1CkxZvhcHL5hmtT8RETWuWqPF3789jMJyNfp3ccGLMb1v/6a2cuY34MNQ4PuZwO6lwB+LgU+GAj//A6iu0h8mlwno7a1LXtKu3Hrt0YKa+qO+1jXLkzSne61WbQuSigmS2WvviSK7eTjghznDEervisJyNR5eeQBbj19pl2sTEVHrfbg9HcmZ1+GosMLHD4dLV3eUtBL45kGgNEe3DlrETCDoXt2+lFXAD0/UGU0W7KPrZkvLvnWCVFug3UNeM6mze8/mx2TjqHtmCxK1hIejAt/OHoLovp5QVWsx5+tDWL0nQ+qwiIjoNvafv4qPd+jm+ntrcn90dXeQJpCjG4Bf5uu+HjQLmHcIGL8MeHg98PB3gFwBnPwJ2Puh/i19fW7UId1KbQuSn7bmj3d3A1qQFLUJEou0qYXsbayw4tEIPDo0AKIIvP5TGpZsSYP2NsVzREQkjeJKNf753RGIIjB9kD8eCPWVJpDcNOCnv+u+HjYXGPceYH3TIrRBY4H73tV9vfNtoDALANCjsy55aW4Nkkd1TQtSp8Dmx1bbgqQqaf572gkTJAO1Zw1SfVZyGd6YEIJ/3avrv165OwPz1h1GpZoL5xIRmZrXNp/A5cIKBLjZY9H4YGmC0FQDG58G1OVAjzHA3f9uvIB64ONA4AiguhLYsQQA0KOzrrUr61o5qqqbnsixoLQKMmjhpK6pQXJp3gK3AG4axcYWJLMn9WK1giDg2aie+GB6KKzlArYcvYLHP09CYXnV7d9MRETtYsvRK/jx8GXIBOCD6aFwUEg0L3PyZ0DOUcDWBZj0KSBrov5JEHTJEwAc2wAUZ6OzkwIONnJoReDitaYTmIISFTxxHTJRo5vXyNGAEXpWNevPaUxvKhsmSGZqUrgfvpgZCSeFFZIyr2Hqin24dL1c6rCIiDq83OJKvLzpGADg2aieiOjqJk0g5df0rUGIfg1w9Lz18V0GAl3vALTVQMoqCIKAbjWtSOfzb5EglargK1zVvXD2BWQGpBZWNV191UyQyIiG9/TAhjnD4O1si7N5pZj0yV4cv3z7WU+JiKhtaLUi5m84oh/S/1x0M5bcaCv7lLolPLxCgIGxzXvP4Cd1z0fWA6KIbh63r0O6Xq5GF6FmDiRDutcAQG6je2aCRMbWx9sZG+OGo4+3E/JLVJj+6T7sOpMvdVhERB3Sl/svYHd6ARRWsppSCIl+zZZfAw6s0H0dtaD5rTq9Y3SF00UXgUsp6O5x6xYkURRRVFF1owXJxc+wONmCZDmkLNJuio+LHb57ZhiG93BHWZUGT6xJxncpWVKHRUTUoZzNK8Vbv+hmpX7pvr7o6ekkXTDJn+vmFvLuD/S5v/nvs7YDet+n+/rERvi72QMALhdWNHp4eZUGao14UwuSoQkSa5AshtRF2k1xtrXGmpmRmBjmC41WxL++P4plf5yBKHIaACKitlat0eKfG45AVa3FiF4eeGxoV+mC0ah1Ez8CwPC/N3/Zj1p9axKqs3+gS816cdlNJEjXawYI+cla2oJUkyCxBYnako2VDB9MD8OzUbpJupb9kY4XfzgKtabp4ZlERNR6n/2VgSNZhXCytcK7U0MhkxmYlBjTqS1ASTbg0BkInmD4+7uNBAQZUHAaAVbXAehakBr7g7uwXA0A8NcnSIbWIDFBonYiCAL+dW8fvDkxBDIB+C7lEmZ9kYJSVbXUoRERWaSzeSV4//czAIBF9wfD28X2Nu9oY7WtRwNn3GihMYRdJ8A3HADgVbAfggCoqrW4WtZwOpnaBMlTqFkn1NnHsGuxBYna26NDu+K/jw2CnbUciWfyMf3TfcgrrpQ6LCIii6LRipi/4SiqqrWI6t0ZUyMM7GIytuJsICNR9/XAx1t+nu5RAACri3vg6aRLYhrrZiusqII1quEi1syE7eht2HVqi7RZg0TtKTrYC98+NRTuDjY4kV2MSZ/sxdk805vOnYjIXH3+13mkZhXCSWGFtyb1h2BovY+xHf8RgAj4DwU6taIOyi9S93z5IHxvUYd0vVwNd9RMLyOz0rU+GcKKw/wthimOYruVMH9X/PjscAS62+NyYQWmLN+HpIxrUodFRGT2zuWXYuk2XdfaK/f31ScSkjq2Qffcf2rrzuM3SPdccAbdnXTLWV263jBBKiqvQmehJkFy8DRskkiAw/wtiamOYruVru4O+GHOcIQHuKKoQo1HPz+ALUevSB0WEZHZqh0tXFUzau3BQQYWJ7eFq+eAK6m6lpx+k1t3LgcPwLUrABED5ecBAHklDZOY6+VqdBYKdS9uN1N3Y/RF2qZXAsIEqYNwd1TgmyeH4p5gL1RVaxH3zSF8tvu81GEREZml1XsycPDCdTgqrPD2lAHSd60BwOlfdc9d7wAc3Ft/vi4RAICe1ekAdGuu1VdYrr7RgmTIGmy15DVr1GlNbyARE6QOxM5GjuWPRmDGMF2/9JtbTuL1n05Ao+VcSUREzZVRUIZ3fzsNQDchZBdT6FoDgPTfdM9B9xrnfN4hAAAfVQYAIL+0YYJUVFGFzijUvWhJC5KsNkHStCTCNsUEqYORywS89kA/vHRfHwDA6j2ZmPvNIVSqTe8fJxGRqdFqRfzre92EkHf29MBDkSbQtQYAlUXAhb26r4PGGuecnsEAALcyXW9DfiMtSMUV1fBoTQuSjC1IZEIEQcBTI3vgo4fCYSOX4dfjOXj0swO43sgcF0REdMM3SReRnHkd9jZyJEw2gVFrtc7t0CUZ7r0A9x7GOWdn3R/S9sXnIIcGBY20IJWoqltXg8QEiUzRA6G+WDsrEs62Vki5cB1TVuxF1rVyqcMiIjJJOUWVeOfXUwCA+ff01q9TZhLObdc997rHeOd07QpY20OmrUJXIRfXyqoalGSUqm6uQWpBgiTUpCHsYiNTM7S7O76fMxy+LrY4n1+GSZ/swdFLhVKHRURkchb/7zhKVNUI9XPBjOGBUodTV+Ye3XO3kcY7p0ymb0XqI7sErQhcq9fTUFpZfaMGyYEtSGRhgrycsDHuDvT1cUZBaRX+9t/92HEqT+qwiIhMxtbjOfjtRC7kMgEJkwdALuVaa/WV5ADXzgEQgIChxj23Ry8AQF9FPoC6dUiiKKJUVQ03oWYCYgcPw8/PBMlymNtEkc3l5WyL754eihG9PFBepcGTa1PwbdJFqcMiIpJccaUaizYfBwA8NbI7gn2dJY6onsy/dM/eIYCdq3HP3SkQANDDqgBA3ZFsqmottJpquAg1pRl2boafnwmS5TDHiSKby8nWGqtiB2PKQD9otCIW/ngM72873egKzkREHcU7v55CXokKge72eO6uXlKH09CFmu61rnca/9w1CZK/oOtVKCy/0cVWqqqGM8puHGvoMiMAIJPrnkVtSyNsM0yQqA5ruQxLpw3A38f0BAB89OdZ/UKMREQdTXLmNXx9QNea/tak/rC1lkscUSMu7tc9dx1u/HPXJEje2hwAuokha5VWVqOTUKp7oXC+MemjIWoTJLYgkTkQBAHx9/TG25P7Qy4T8MOhS5j1RTJKKtW3fzMRkYVQVWuw8MdjAIBpEX4Y3rMFNTZtraoMyNeNrINfG5R+1CRIbuo8yKFBUcVNCZKqGq6oSZBa0noEsIuNzNPfIgPw2eODYG8jx+70Ajz46X7kFpveejlERG1h+c5zOJtXCg9HG7w8rq/U4TQu57iue8rRC3D2Mf75Hb0BK1vIoYGPcLVOC1JJZTVcBSZI1EGN7uOJ9U8Ng4ejAievFGOScg/O5JZIHRYRUZs6m1eCT3acAwAsGt8PrvY2EkfUhOzDumff8LY5v0wGuOhmC/cX8lFYUbcGSd+CZN+CAm3gRoIkagGtaZVyMEGi2+rv54KNzw5H984OyC6qxJTle7Hv3FWpwyIiahNarYgFPxxDlUaL0b07Y/yANmiZMZa2TpAAfcuUJ66j6OYaJJX6Rg1SS0awATdqkABANK3JIpkgUbP4u9njh2eGY1DXTiiprMaMVUn435FsqcMiIjK6dclZSLmgW07kzUkmtJxIY66k6p7bMkFy8gUAeAvXUVhRt0i71V1swk0Jkol1szFBombr5GCDr54cgpgQb1RptPj7t4fx6a5znAaAiCzGtbIq/N9vuqLn+LuD0MXVTuKIbkFdCRSc0X3tE9p213HyBgB4CdfrFGmXGKWL7eYWJHaxSaK8vBxdu3bF/Pnz62z/+eef0bt3b/Tq1QufffaZRNGZD1trOT5+eCCeuKMbACDh11N47X8nGqzPQ0Rkjt759RQKy9Xo4+2EWFNbTqS+q+m6pMLWVVek3VacdF1sXsK1pof5t7SLDTe1zjFBksaSJUswdGjdKdirq6sRHx+PP//8E4cPH8a7776Lq1dZW3M7cpmAReOD8cq4vhAE4It9FzDnq4OoqDKt/mMiIkMcvHAd61OyAABvTAyBldzEf0Xmn9Y9d+4DtGU3oHNtglSIoooqfa9BeZUGLq0d5i/c9D02sd4IE7/7xpGeno5Tp04hJiamzvakpCT069cPXbp0gaOjI2JiYrBt2zaJojQ/T47ojo8fGggbKxm2peXi4c/2N1jIkIjIHFRrtHh1k245kSkD/TA4sKUtIu1InyAFte11aluQcB1qjYgKte6P4Uq1Bi5CzUzaLV3ipE6CxBakOhITEzF+/Hj4+vpCEARs2rSpwTFKpRKBgYGwtbXFkCFDkJSUZNA15s+fj4SEhAbbs7Oz0aVLF/3rLl264PLlywZ/ho5s3AAffDVrCFzsrHH4YiGmLN+LC1fLbv9GIiIT8tX+C0i7UgxnWyssvK+P1OE0T+0EkZ3bON6aBMlTuA5At0AtAFSoNXBEhe4YRQvXp6vT8sUWpDrKysoQGhoKpVLZ6P7169cjPj4eixcvxqFDhxAaGoqxY8ciL+/GavNhYWEICQlp8MjOzsbmzZsRFBSEoKA2zrA7sMhubvhhzjB0cbVDRkEZJn+yF6lZhVKHRUTULHkllXhvm67Y+YWxveHhqJA4omaqLdD26N2216mpb1II1XBBGcpUuhakiioNnITaBMmpZec24S62FiycYlwxMTENur5u9v7772P27NmYOXMmAGDFihXYsmULVq1ahQULFgAAUlNTm3z//v37sW7dOmzYsAGlpaVQq9VwdnbGokWL4OvrW6fF6PLly4iMjGz0PCqVCirVjVWMi4uLDfmYFq+npxM2PjscT3yRjOOXi/G3/+7Dxw8NRHRwGxYOEhEZQcIvp1Ciqkb/Li54eEhXqcNpHk01cPWs7uu27mKzstG1EKmK0UkoQVmjLUjGSJDYxdZsVVVVOHjwIKKjo/XbZDIZoqOjsW/fvmadIyEhAVlZWcjMzMTSpUsxe/ZsLFq0CAAQGRmJ48eP4/LlyygtLcWvv/6KsWPHNnkeFxcX/cPf37/1H9DCeDrbYt1TwzAqqDMq1Vo89WUKvtp/QeqwiIiatP/8VWw8fBmCoCvMlstMeM6jmxVf1s0bJLcBnP3a/no1w/jdUKLvYlNXqWAn1NSdtjhBunkUm2m1IJl0glRQUACNRgMvr7qtEF5eXsjJyWn1+a2srPDee+9h9OjRCAsLwz//+U+4u7s3euzChQtRVFSkf2RlZbX6+pbIUWGFz2YMwoOD/KAVgVc2Hcf/bT3FuZKIyOSoNVos2qwrzP7b4ACE+btKG5AhCmv++HTx1y0H0tbsdb8b3W5qQUJV6Y39LU2QAOiH+ptYC5LkXWztKTY2tsG2Bx54AA888MBt36tQKKBQKKBUKqFUKqHRcEh7U6zlMrwzZQB8Xe2w7I90fLLzHLILK/B/U0NhY2XSOTkRdSBr9mTiTG4pOtlb419j27iOx9gKL+qeO7VTl2BNgtRJKEFZzZQusirdupwauS3kcuuWn1uQ6ZYZMbEEyaR/W3l4eEAulyM3N7fO9tzcXHh7e0sSU1xcHNLS0pCcnCzJ9c2FIAh4PjoI/zd1AOQyAZtSsxG7OgnFlerbv5mIqI3lFFVi2R+6IucFMX3QycFEF6NtyvWaFiTX9k2Q3HCjBclKrRuxrLVpTesRbqpDMq2eBpNOkGxsbBAREYHt27frt2m1Wmzfvh3Dhg2TJCalUong4GAMHjxYkuubmwcH+WNV7GA42Mix99xVPLhiH64UVUgdFhF1cG9sSUNZlQYDA1wxLcIMa0prW5BcA9rneje3INUmSNW6LjbRxrF15xZMs4tN8gSptLQUqamp+pFoGRkZSE1NxcWLupsfHx+PlStX4osvvsDJkycxZ84clJWV6Ue1tTe2IBluVFBnrH96GDo7KXAqpwSTlHtxKoejAIlIGn+lF2DL0SuQ1RRmy8ylMPtmtTVI7dbF1rBI27qmBal19Ue40YLEBKmulJQUhIeHIzxctxJxfHw8wsPD9SPNpk+fjqVLl2LRokUICwtDamoqtm7d2qBwm0xbSBcXbHx2OHp6OiKnuBLTlu/D3rMFUodFRB2MqlqjL8x+fFgg+vm6SBxRC+lbkCSoQVJVQxRF2GhqirRbOklkLX2CxC62OqKioiCKYoPHmjVr9MfMnTsXFy5cgEqlwoEDBzBkyBDJ4mUXW8v5dbLHD88MR2Q3N5SoqjFjdRI2Hr4kdVhE1IF8tjsD5wvK4OGoQPw9ZjqBsFYLlNSM5Hb2bZ9r1ixG20koRalKA1W1Fo41k0TKbFvZgmSio9gkT5DMDbvYWsfF3hprn4jEuAE+UGtE/GP9ESh3nOU0AETU5rKuleM/f6YDAF4e1wfOtq0YeSWl8qu6UV8QAIfO7XNNW10rkRPKUaaq1s2ijXIAgMzWWC1ITJCog7O1luM/fwvH7BHdAADv/nYar2w6jmqNaf3nICLL8u+f01Cp1iKymxsmhnW5/RtMVWlN65G9O9Ca4fWGqOlGcxLKUaHW6GbR1rcgGSlBMjGmGRVZPJlMwMvjgrF4fDAEAfj6wEU889VBlFdVSx0aEVmgP0/l4ve0XMhlAt6YEAJBMMPC7FqlNVPfOLXjdDe2ulotJ1SgsiZBckDN8ls2Dq07d+2tYAuSeWMNknHNvKMblj8yEAorGf44mYeH/rsfBaWq27+RiKiZKtUaLP7fCQDAE3cEord3a2tmJFZSkyA5tuNgJX0LUgWqqtSoqNLAzmgJErvYLAJrkIzv3hAffDN7CFztrXHkUhEmf7IX5/JLb/9GIqJm+GTnOWRdq4CXswLPRZtpYfbNSiVIkG7qRpOpS6Gq1sC2dh02a7vWnZuj2IiaFtHVDT/MGY4AN3tcvFaOKcv3IinjmtRhEZGZyywow4pd5wAAr94fDEeFBaywpe9ia8cEyUoBrUw327hcXQJVtfZGC1JrEySOYiO6tR6dHfHjs8MR5u+KwnI1Hv3sAH46ki11WERkpkRRxGs/nUBVtRZ39vTAuP4+UodkHFK0IAHQ1CwpYqUuRVW1FnaobUGyb92J9fVgbEEya6xBalsejgp8O3soxvbzQpVGi3nfHsbynec4DQARGey3E7nYeTof1nIBr0/oZ96F2Tcrr2ldt/do18vWrrlmrS6FWiPCTjByC5KJYYJkINYgtT07Gzk+eSQCT9yhmwbgna2n8NJGTgNARM1XXlWNf/+kK8x+amR39OjcyvXCTEnFdd2znWu7XlasKdS20ehakGyN1YKkv4Bp/SHMBIlMklwmYNH4G9MAfJt0EbO+SNGvAUREdCv/+fMssosq0cXVDnNH95I6HOOqLNQ923Vq3+vWFGorNKWo0tw0io1dbETtb+Yd3bDi0QjYWsuw60w+HlyxD7nFlVKHRUQm7GxeKT7bfR4AsHh8MOxs5BJHZGQVhbpnW9d2vaxQkyDZa8ugUhuxBklfpM0EyayxBqn9je3njXVPDYOHow3SrhRjonIPTuUUSx0WEZkgURSxaPNxqDUixvTxxN3BFrawuaYaUNX8/GvnFiSZQleDZI9KlFRWG68GyURrw5ggGYg1SNII83fFj3PuQPfODrhSVIlpy/fhr/QCqcMiIhPz09Er2HvuKhRWMrw23oIKs2tVFt34umZ26/YiV+gmhLQXVCiuVBtxmH8ttiARtUiAuz1+nDMckd3cUKKqRuzqJGxIyZI6LCIyESWVarz5cxoA4NmonghwN1LxsCmprT9SOAPy9p3TSWaj+37aogrF5VXsYiMyJa72NvhyViQmhPmiWivihe+P4v3fz3AaACLCsj/SkVeiQld3ezw9qrvU4bSN2hFs7Vx/BECfCNlDhfKKcsiEmp+77GIjMg0KKzk+eDAMcaN7AAA+2p6Of353BFXVnAaAqKM6lVOMNXszAQCvP9APttYWVphdq7ZAu52H+AMAalqQ7KBCVcVNy0Gxi43IdMhkAl4Y2wcJk/tDLhPw4+HLmLEqCUUVaqlDI6J2JooiXt10HBqtiHv7eSOqt6fUIbWd2gJthfOtj2sLNS1IdkIVVJVlAACNYAXIrVt5YnaxERndQ5EB+HzGIDjYyLHv/FVMXb4Xl66XSx0WEbWjHw9dRnLmddhZy/Hq+GCpw2lbVbrEBDYO7X/tmpYiO6igrdL9nFXLbFt/Xs6DZBk4zN/0RPX2xIZnhsPb2RbpeaWY9MleHLtUdPs3EpHZK6pQI+HXkwCAeXf1RBdXY3X3mChJE6QbXWxalS5BqpYbIUHiUiOWgcP8TVOwrzM2xg1HH28n5Jeo8OCn+7D9ZK7UYRFRG3tv22kUlFahR2cHPHmnhRZm30xdmyBJMEKvtkhbUEGsaUHSyBTGO79pNSAxQSLL4eNihw3PDMOIXh6oUGswe20Kvtx/QeqwiKiNHL9chK9q/o+/MSEENlYd4FeavgVJgrXlbhrmr1Hr5kDSymxaf159A5JpZUgd4F8TdSROttZYFTsYDw7yg1YEXt10HG/9chJarWn9xyOi1tFqRbyy6Ti0IjA+1BfDe7bvyvaSqWm5MdoCsYa4uYutWpcgiXIjJEgs0iZqH9ZyGd6ZMgD/vDsIAPDfxPOY9+1hVKo1EkdGRMayPiULqVmFcFRY4ZVxfaUOp/1U1Qyvl7AGyV5QwQa6hcO1ciN0sXEeJKL2IwgC5t3VCx9MD4W1XMCWY1fwyGcHcK2sSurQiKiVrpVV4Z2tpwAAz0f3gpezMQqFzYQJjGKzRRVsUDOliqy1Q/xNFxMksmiTwv2w9okhcLa1wsEL1zH5kz3ILCiTOiwiaoX/23oKheVq9PF2QuzwQKnDaV/qmi42KRKkmmvao1LfgmScLjbTxASJLN6wHu748dnh8Otkh8yr5Zj0yR6kZF6TOiwiaoFDF69jXbJuDcY3JobASt7Bfo1J2YJkpWupkwsiHIUKAEyQ6CacB8k89fR0wo/PDscAPxdcL1fj4ZUHsDn1stRhEZEBNFrdjNkAMGWgHwYHukkckQRqEyRrKRKkG/VGDqjUfcEEiWpxHiTz5elki3VPDcU9wV6o0mjx3LpUfPhHOhe6JTITX+2/gBPZxXC2tcLC+/pIHY40qmsSE2sJ6q5uKshmCxKRhbG3scKKRyPw1EjdhHIf/HEG8d8dgaqaI9yITFl+iQpLt50GALwwtjc8HI04QaE5qRleL0nLjUyGasEKAOAIXYJ0c6uSpWGCRB2OTCbgpfv64q1JuoVuNx6+jEc5wo3IpCX8ehIlldXo38UFDw/pKnU40tHUjB4zxvD6llxe0I1aq02QRI5iI7I8Dw8JwBczI+Fka4XkzOuY9MkenMsvlTosIqonKeMafjx0GYKgK8yWy0xz3px2oalpQbKSpmtLUzNzdm0Xm8AWJCLLdGcvD/w4RzfC7cLVckz+ZC/2nbsqdVhEVEOt0eoLs/82OABh/q7SBiQ1TU1Lt0S1PxpBd93aIm1Ropas9sAEiTq8Xl5O2BR3B8IDXFFUocbjqw5gQ0qW1GEREYAv9mbidG4JOtlb419je0sdjvSqJU6QarrUnPQtSCzSJrJoHo4KfDt7KO4f4AO1RsQL3x/Fu7+d4hpuRBLKKarEB7+fAQC8eG8fdHKw3F/GzabvYpOm5aZ2cVp9kTZHsRFZPltrOT76WzjmjekJAFDuOId567iGG5FU3tyShrIqDcIDXPHgIH+pw5GeVgtodTNYS5WYaOX1apCs2cVG1CHIZAL+eU9vLJ1Ws4bb0Sv423/3I79EJXVoRB3KX+kF+PnoFcgE4I0JIZB15MLsWpqbRtpKlSDJamuQdAmSjC1I5q+8vBxdu3bF/Pnz62yfNGkSOnXqhKlTp0oUGZmiqRF++HLWELjYWSM1qxATlXtwJrdE6rCIOgRVtQaLNusKsx8fFoiQLi4SR2QiNDf9oSZRF5tYkyA5C5wHyWIsWbIEQ4cObbD9ueeew9q1ayWIiEzd0O7u2PjscAS62+NyYQWmfLIXiWfypQ6LyOKtTDyP8wVl6OykQPw9QVKHYzpq50ACAInmH9LWazGSMUEyb+np6Th16hRiYmIa7IuKioKTk5MEUZE56N7ZERufvQORgW4oUVVj5ppkfH3ggtRhEVmsrGvl+M+fZwEAr4zrC2dby52I0GC1s2jLrAGZNL++a7vYanEUWxtKTEzE+PHj4evrC0EQsGnTpgbHKJVKBAYGwtbWFkOGDEFSUpJB15g/fz4SEhKMFDF1NJ0cbPDlk5GYPLALNFoRL288jjd+ToOGI9yIjEoURSz+3wmoqrUY3sMdD4T6Sh2SaZF4BBvQcO01GYu0205ZWRlCQ0OhVCob3b9+/XrEx8dj8eLFOHToEEJDQzF27Fjk5eXpjwkLC0NISEiDR3Z2NjZv3oygoCAEBbWumValUqG4uLjOgzoOhZUc700LxT/v1v07+vyvDDyxJhnFlerbvJOImuv3tFz8eSoP1nIB/54QAkFgYXYd+mVGpGtVa9DFJmEsbc1K6gBiYmIa7fqq9f7772P27NmYOXMmAGDFihXYsmULVq1ahQULFgAAUlNTm3z//v37sW7dOmzYsAGlpaVQq9VwdnbGokWLDIozISEBr7/+ukHvIcsiCALm3dULPTwdEf9dKnadycck5R58PmMwAj0cpA6PyKyVV1Xj9Z/SAABPjeyOnp6OEkdkgvQL1UrYgiSrX4PELjZJVFVV4eDBg4iOjtZvk8lkiI6Oxr59+5p1joSEBGRlZSEzMxNLly7F7NmzDU6OAGDhwoUoKirSP7KyONNyR3Vffx98/8xweDvb4lx+GSZ+sgd7zxVIHRaRWfvPn2dxubACXVztMHd0L6nDMU36FiQJk5J6LUYyK8ttQTLpBKmgoAAajQZeXl51tnt5eSEnJ8co14iOjsa0adPwyy+/wM/Pr8nES6FQwNnZuc6DOq6QLi7439w7EObvisJyNR7/PAlf7WfxNlFLpOeWYGXieQDA6w/0g52NXOKITFTtJJEyCb8/9UbPyeWSd0S1GYM/WVlZGd555x38+OOPyMzMhCAI6NatG6ZOnYr58+fD3t6+LeI0itjY2Abb/vjjD4POoVQqoVQqodFwduWOztPZFuueGooFPxzFptRsvLLpONJzS/Dq/cGwkpv03x5EJkMURby6+TiqtSKi+3ohOtjr9m/qqESt7lmQ8OdLveRMbsEtSAYlSFVVVRg1ahSOHz+OmJgYjB8/HqIo4uTJk1iyZAl+/fVXJCYmwtraON8wDw8PyOVy5Obm1tmem5sLb29vo1zDUHFxcYiLi0NxcTFcXDh5WUdnay3HB9PD0MvLCe/+dhpf7LuAc/llUD48EC72lvuDg8hYNqdmY//5a7C1lmHx+GCpwzFtYs0f5ibUgiSz4BYkg9LQ5cuX49KlSzhy5Ag2btyIhIQEvP3229i8eTOOHDmCjIwMrFixwmjB2djYICIiAtu3b9dv02q12L59O4YNG2a06xhCqVQiODgYgwcPluT6ZHoEQUDc6J749LEI2NvI8dfZAkz8ZA/O5ZdKHRqRSSuqUOPNLScBAPPG9IK/m+n2QJgEbU2CJEiYINVLiAQLHsVmUIL0448/4tVXX0Xv3r0b7OvTpw9efvllfP/99wYFUFpaitTUVP1ItIyMDKSmpuLixYsAgPj4eKxcuRJffPEFTp48iTlz5qCsrEw/qq29xcXFIS0tDcnJyZJcn0zX2H7e+P6Z4ejiaoeMgjJMUu7B7nTOvE3UlPe3nUZBqQo9Ojtg9ojuUodj+kywBUnSWNqYQQlSWloaoqKimtw/evRopKWlGRRASkoKwsPDER4eDkCXEIWHh+tHmk2fPh1Lly7FokWLEBYWhtTUVGzdurVB4TaRKQj2dcbmuXdgUNdOKK6sRuzqZKzZkwFR5KSSRDc7klWIL2sGNrwxIQQ2Vqzbuy1tbQ2SdPNDCfW71GSW28Vm0CcrLCyEu7t7k/vd3d1RVFRkUABRUVG3/eUxd+5czJ0716DzthUWadPteDgq8PXsIXjpx+P44dAlvPZTGk7nluL1B/rxlwARgGqNFgt/PAatCEwM88Xwnh5Sh2Qe9EXaUrYgdZwEyaCf1lqtFnJ50zdGJpNZfOLALjZqDoWVHEunDcBL9/WBIADfJl3EQyv3I6+4UurQiCS3ak8G0q4Uw9XeGq/cz8LsZjOBLrYGRdkWnCAZ9MlEUcRdd90FK6vG31ZdXW2UoIgsgSAIeGpkD/TycsJz3x7GwQvXcf9//sKKxyIwMKCT1OERSSLrWjne//0MAOCl+/rCw9Fy1/IyOpMo0q5fg8QECQCwePHi2x4zZcqUFgdjDtjFRoYa3dsT/5t7J576MgVnckvxt0/3498T+uFvkQFSh0bUrkRRxCubjqNSrcXQ7m6YFuEndUjmpbYFScJ5kBrWIFlukbbREyRLx3mQqCUCPRzw47N3YP53R7D1RA4W/HgMxy4XYfF41iVRx/G/I9nYdSYfNnIZlkzqz8VoDaWVvotNaDCKzXJbkIzyk3nXrl345ZdfcP36dWOcjsgiOSqs8MkjAzH/niAIAvD1gYt4eOV+5JWwLoksX2F5Fd74WTfKee6YnujRmYvRGswEZtIW6s+czQRJ55133sGrr76qfy2KIu69916MHj0a999/P/r27YsTJ04YPUgiSyGTCZg7phc+nzEITgorpFy4jvH/+QuHL/KPC7JsCb+cQkFpFXp6OuKZUT2kDsc81SZIkrYgdZwibYMSpPXr1yMkJET/+vvvv0diYiJ2796NgoICDBo0CK+//rrRgzQlnEmbjGFMHy9snnsHeno6IrdYhemf7sd3yVlSh0XUJg6cv4r1Kbp/3wmT+7NbuaVMoEhb1qBI23JrkAz6V5qRkYEBAwboX//yyy+YOnUq7rjjDri5ueGVV17Bvn37jB6kKeEwfzKW7p0dsfHZ4bgn2AtVGi3+9cNRvLzxGFTVHABAlkNVrcHCjccAAA9FBmBwoJvEEZkxkyzSZgsSAN0wfoXixpDMffv2Yfjw4frXvr6+KCgoMF50RBbOydYaKx6NwD+igwDo6pIeXLEPl66XSxwZkXF8+Ec6zueXwcNRgQX39pE6HPNmCkXarEFqXI8ePZCYmAgAuHjxIs6cOYORI0fq91+6dOmWM20TUUMymYDnonthdexguNhZ48ilItz/n7+w83Se1KERtcqxS0X4NPE8AODNif3gYm+5C5u2CxOYSZuj2JoQFxeHuXPnYtasWbj33nsxdOhQBAffmAX1zz//1K+pRkSGGd3HEz/PuxMD/FxQWK7GzDXJeP/3M9BouY4bmZ+qai1e+P4INFoR4wb44N4QH6lDMn/6mbRNqItNykkr25hB3+XZs2fjP//5D65du4aoqChs3Lixzv7s7Gw88cQTRg3Q1LBIm9qSv5s9NjwzDI8MCYAoAh9tT0fs6iRcK6uSOjQigyh3nMWpnBK4Odjg3w/0kzocy6A1gWH+NxVpayCTNFlrawavxZaXl4fc3FwkJyfjgw8+QEVFhX7/J598gkmTJhk9SFPCIm1qaworOZZM6o8PpofCzlqO3ekFGPfRbhziVABkJtKyi6HccRYA8PoD/eDO5USMQ5R+FNvNw/w1sNzWI8DABGnJkiV46aWX4OTkhC5duuDDDz9EXFxcW8VG1KFNCvfDprg70N3DAVeKKjH9031YsycDosguNzJdao2ua61aK+KeYC/cP4Bda0ZjEvMg3bg2E6SbrF27Fp988gl+++03bNq0CT/99BO+/vpraGub/YjIqHp7O2Hz3DtwX39vqDUiXvspDc98dRBF5WqpQyNq1Ke7zuFEdjFc7Kzx5qQQLidiTCYwD5JwU5caE6SbXLx4Effdd5/+dXR0NARBQHZ2ttEDIyIdJ1trKB8eiEX3B8NaLuC3E7m476PdSMm8JnVoRHWcvFKMj7brutYWjw+Gp5OtxBFZGBOYB0l2UxebVsI42oPB8yDZ2tb9B29tbQ21mn/NErUlQRDwxJ3d8OOcOxDobo/LhRWY/t/9+PjPdI5yI5NQqdbgH+tTUaXRIrqvJyaFd5E6JMujlX4U283de1rjLOdqsgyawEAURcTGxtaZLLKyshLPPPMMHBwc9Nt+/PFH40VIRHr9/Vzw899H4NVNx7Hx8GUs3XYGe89dxQfTw+DlzL/WSTrvbTuNUzklcHewQcLkAexaawu19YdSjmKT3bivWlj2PTYoQZoxY0aDbY8++qjRgjEHSqUSSqUSGg2XgyBpOCqs8MH0MNzZ0wOvbj6OveeuIubD3XhvWihG9/GUOjzqgPaeK8Bnf2UAAN6eMgCdnThqrW1InyDd3MUmsgXphtWrV7dVHGYjLi4OcXFxKC4uhouLi9ThUAc2JcIPYQGumPfNYaRdKcbMNcmYeUcgXry3D2ytLbt4kkxHcaUa8787AlEE/jbYH3cHe0kdErUhoU4Xm2W3IFl2+kdk4Xp0dsTGuOGIHR4IAFi9JxPj//MXjl8ukjYw6jAWbz6B7KJKBLjZ49X7g2//BjJrN49iE5kgEZEpU1jJ8doD/bA6djA6OymQnleKico9+PjPdFRrOAUHtZ3NqZex8fBlyATgg+lhcFBY7rpcpHNzC5Kld7FZ9qcj6kBG9/HEb8+PREyIN6q1IpZuO4MHP92HzIIyqUMjC3Q+vxQv/XgMADB3TC9EdO0kcUTUHmQ3d7FZeCE+EyQiC+LmYINPHhmI9x8MhZPCCocuFiLmw934av8FzsBNRlOp1iDum8Moq9JgSDc3PHdXL6lDonYiYwsSEZkrQRAweaAftv5jJIZ1d0eFWoNXNh3H46uSkHWtXOrwyAIs2XISJ68Uw83BBh/+LRxymWW3JNANgpxF2kRk5rq42uHrJ4fglXF9obCSYXd6AcYuS8TqPRmcXJJa7JdjV/Dl/gsAgPcfDIW3C+ff6kjq1iAxQaKbKJVKBAcHY/DgwVKHQnRbMpmAJ0d0x9bnRyKymxvKqzR4/ac0TFuxF2fzSqQOj8zMufxSvPj9UQDAnKgeiOrNebc6nJvmYLL0mbQt+9O1gbi4OKSlpSE5OVnqUIiarZuHA9bNHoo3J4bAsaY26b4P/8LHf6ZDzZFu1AwllWo8tTYFJapqRAa64Z93B0kdUsdjCnWEAluQiMjCyGQCHh3aFdv+MRKje3dGlUaLpdvO4P6P/sKB81elDo9MmFYr4h/rj+Bcfhm8nW2hfGQgrOT89SEdCRMT4eZ5kCz734BlfzoiasDX1Q6rYgfjw7+FoZO9NU7nlmD6f/cjfn0q8ktUUodHJujD7en442QubKxk+PSxCC4l0pHJOs4s/UyQiDogQRAwIawL/vxnFB4eEgBBAH48fBlj3tuJL/Zmsoib9H49dgUfbk8HACyZGIJQf1dpAyJpSbgOXHvrOJ+UiBro5GCDtyb1x8Zn70D/Li4oqazG4v+dwAMf/4WUzGtSh0cSO3jhOp5fnwoAiB0eiGmD/KUNiKRXJ0Gy7D+kmCAREcL8XbEp7g68MTEEzrZWOJFdjKkr9mHOVwdx4Spn4u6IMgrK8OQXyVBVa3FXH0+8Mq6v1CGRKWALEhF1NHKZgMeGdsWf86PwUKQ/ZALw6/EcRL+/C2/8nIbC8iqpQ6R2cq2sCjNXJ+F6uRr9u7jgPw+HsyibdG6qQRLYgkREHYmHowIJkwfg1+dGYmRQZ6g1Ij7/KwOj3t2Jz3afR6VaI3WI1IaKKtR4fNUBZF4th18nO3weOwj2NlyElmoILNImog6ut7cT1j4RiS+eiERvLycUVajx5paTiHp3J77cfwFV1Zw/ydKUqqoxc3USjl8uhruDDdbMjISnE2fKppvc1MXGFiQLUV5ejq5du2L+/Pn6bVlZWYiKikJwcDAGDBiADRs2SBghkWkaFdQZW/5+JxIm94ePiy1yiivx6qbjGL10J9YnX+REkxaiokqDJ79IxqGLhXCxs8aXs4agp6ej1GGRqeEwf8uzZMkSDB06tM42KysrLFu2DGlpadi2bRuef/55lJWxIJWoPiu5DA9FBmDH/Ci8Nj4YnZ0UuFxYgRd/OIa739+F9ckXoapm15u5KqlUI3Z1EvafvwZHhRXWPhGJYF9nqcOiBmpabATTmCjS0nWIT5qeno5Tp04hJiamznYfHx+EhYUBALy9veHh4YFr1zi0magpttZyxN7RDYkvjMYr4/rC3cEGmVfL8eIPxzDinR1YsesciivVUodJBrhWVoVHPjuAAxm65GjNzMGc64iaJmVy1s4kT5ASExMxfvx4+Pr6QhAEbNq0qcExSqUSgYGBsLW1xZAhQ5CUlGTQNebPn4+EhIRbHnPw4EFoNBr4+3OeD6LbsbOR48kR3ZH4L12i5O1si7wSFd7+9RTuSPgTb/96CjlFlVKHSbdxubACD366D0cvFcHNwQbfzh6KQYFuUodFZsLSa5AkH5pQVlaG0NBQPPHEE5g8eXKD/evXr0d8fDxWrFiBIUOGYNmyZRg7dixOnz4NT0/dStJhYWGorq5u8N5t27YhOTkZQUFBCAoKwt69exuN4dq1a3j88cexcuXKJuNUqVRQqW4sw1BcXGzoRyWyOA4KKzw5ojseHxaIzamX8WnieZzNK8WKXeewcvd5jO3nhceGBmJodzcIHegvT3Nw8MJ1PP3lQRSUquDtbIuvnoxET08nqcMiMhmSJ0gxMTENur5u9v7772P27NmYOXMmAGDFihXYsmULVq1ahQULFgAAUlNTm3z//v37sW7dOmzYsAGlpaVQq9VwdnbGokWLAOgSn4kTJ2LBggUYPnx4k+dJSEjA66+/3oJPSGT5bKxkmDbIH1MG+uHPU3n4b+J5JGVewy/HcvDLsRwEeTnisaFdMTG8C5xsraUOt8PbdPgy/vXDUVRVa9HH2wmfzRgEv072UodFZsey/+iRvIvtVqqqqnDw4EFER0frt8lkMkRHR2Pfvn3NOkdCQgKysrKQmZmJpUuXYvbs2frkSBRFxMbGYsyYMXjsscdueZ6FCxeiqKhI/8jKymr5ByOyUDKZgOhgL3z3zDD8+twIPDwkAHbWcpzJLcWrm08gcsl2/GN9Kv5KL+B6bxKoVGvw0sZjeH59Kqqqtbg72As/zBnO5IhaRLTwBEnyFqRbKSgogEajgZeXV53tXl5eOHXqVKvPv2fPHqxfvx4DBgzQ1z59+eWX6N+/f4NjFQoFFAquYE3UXH19nPHWpP5YENMHPxy8hC/3X8D5/DJsPHwZGw9fho+LLSaFd8HkgV3YtdMOzuSWYN43h3E6twSCAMRF9UT83UGQySz7lxxRS5l0gmRssbGxdV7feeed0GoNm8NFqVRCqVRCo+GQZqLmcLa1xsw7uiF2eCAOZxXih4OX8NORbFwpqsQnO8/hk53nEOTliHtDfHBff2/09nJivZIRqao1WL7zHD7ZcQ5VGi08HBX4YHooRvTqLHVoZOZEC/9vatIJkoeHB+RyOXJzc+tsz83Nhbe3tyQxxcXFIS4uDsXFxXBxcZEkBiJzJAgCBgZ0wsCATnj1/mBsP5mHHw5dwu70fJzJLcWZ3HR8tD0d3TwccG+IN8b08US4vyvXAGuFvWcLsOh/J3A2rxQAMKaPJ96ZMgCdndgaTnQ7Jp0g2djYICIiAtu3b8fEiRMBAFqtFtu3b8fcuXMliYktSEStZ2stx7gBPhg3wAdF5Wr8cTIXvx7PQWJ6PjIKyrB85zks33kOTrZWGNHLA6OCOmNkUGf4uNhJHbpZOHmlGG//egq7zuQD0K2v99oDwRjX34etcxbBRO6hhTchSZ4glZaW4uzZs/rXGRkZSE1NhZubGwICAhAfH48ZM2Zg0KBBiIyMxLJly1BWVqYf1dbe2IJEZFwu9taYEuGHKRF+KFVVY8epPPyelovE9HwUlqv1I+EAoHtnBwzp5obBgW6I7ObG4uJ6Dl64jv8mnsO2tFyIImAlE/DIkADE390bLvYcPWj2RNMa2CBaeLIteYKUkpKC0aNH61/Hx8cDAGbMmIE1a9Zg+vTpyM/Px6JFi5CTk4OwsDBs3bq1QeE2EZk/R4UVxof6YnyoLzRaEUcvFWLXmXzsOpOP1KxCnM8vw/n8MnybpBtF6utii8Hd3NC/iwsG+Lmin68zHBSS/1hrV6Wqavxy7ArWJV3EoYuF+u3jBvjghXt6I9DDQbrgyKKZVrpmfJL/JImKioJ4m6x47ty5knWp1ccuNqL2IZcJCA/ohPCATng+OgiF5VVIybyOpMxrSMq4hmOXi5BdVInNqdnYnJoNQLcKQo/OjhjQxQXBvs7o5eWEXp6O8HGxtaiupVJVNf5Kz8dvJ3Kx9XgOKtS6n0c2chkmhXfBkyO6oZcXRwZS2+Iwf6qDXWxE0nC1t0F0sBeig3Wtx+VV1Th8sRAHL1zHsctFOHapCDnFlTibV4qzeaX48fBl/XsdFVbo4emIXp6O6NHZEQFu9vB3s4N/J3u42lubfPJUXlWNI1lFOHTxOvafv4r9569Crbnxh2V3DwdMifDDtAg/eDrbShgpdSym/f+mtZggEZFZsrexwh09PXBHTw/9trySShy/XISjl4pwOqcE6XmlyCwoQ6mqGkeyCnEkq7DBeRwVVvDrZAe/TvbwdlHA08kWnZ0U6OyoQGcnBTydFXB3UMDGqm1H04miiGtlVcgprsTFq+VIr0n0zuTqPkf9iTUD3e0xpo8X7g/1Qbi/q8kneWR52MVGdbCLjch0eTrZYkwfW4zpc6NGsapaiwtXy5CeV4r03FKcLyjFpesVyLpWjrwSFUpV1TiVU4JTOSW3PLedtRzOdlZwtrWGs501nGx1Xzso5LCRy2Atl8HG6sbDSiZAowW0ogiNVvfQiiIqqjQoVVWjpLIaJapqlFSqkV+iQl6xClWapudl83WxxcCunRDRtRNGBXVG986ORvu+EVFDTJAMxC42IvNiYyXT1SJ5OQH1JsmvVGt0ydL1cly6XoH84krklaiQX6JCfqkuaSkoVaFaK6JCrUGFWoPcYlXjFzICQQDcHRTo0skOvWq6BHt6OqKvjzN8XTnFAZkW1iAREVkoW2s5etYkIU3RakUUVahRUlmN4ko1iivUKL7p64oqDao0WlRVa6Gq1uq/1mhFyAQBcpmu4FwuEyAXBNjayOGksIKjwgqOttZwVFihs5MNvJxt4elk2+ZdeUTGwgSJiKgDk8kEdHKwQScHG6lDIaJ2xD9VDKRUKhEcHIzBgwdLHQoREXVEJlKQb+lF2kyQDBQXF4e0tDQkJydLHQoREXUolp6SmBYmSERERET1MEEiIiIiqocJEhEREVE9TJAMxCJtIiIiQLDwkigmSAZikTYRERFg6UXjTJCIiIjIYAITJCIiIqK6mCARERGRCTGNiSItHRMkIiIionqYIBmIo9iIiEgSomV3aZkaJkgG4ig2IiIi1iARERERNcAEiYiIiKiDYYJEREREBmMLEhEREVEHwwSJiIiIDMYWJCIiIqJ6BAufdoAJEhERkTkROJN2e2CCZCBOFElERMQuNqqHE0USEZE0LDshMTVMkIiIiKgFLDthY4JEREREBrP0SigmSERERET1MEEiIiIiqocJEhEREVE9TJCIiIjIYJZdos0EiYiIyMyYRnk050GyEOXl5ejatSvmz5+v31ZYWIhBgwYhLCwMISEhWLlypYQREhERmRPTSNTaipXUAbSXJUuWYOjQoXW2OTk5ITExEfb29igrK0NISAgmT54Md3d3iaIkIiIyD5bdftRBWpDS09Nx6tQpxMTE1Nkul8thb28PAFCpVBBFEaKFL75HRERmir+f2pXkCVJiYiLGjx8PX19fCIKATZs2NThGqVQiMDAQtra2GDJkCJKSkgy6xvz585GQkNDovsLCQoSGhsLPzw8vvPACPDw8WvIxiIiIyIJIniCVlZUhNDQUSqWy0f3r169HfHw8Fi9ejEOHDiE0NBRjx45FXl6e/pjaGqL6j+zsbGzevBlBQUEICgpq9Pyurq44cuQIMjIy8M033yA3N7dNPicREZElsewKJBOoQYqJiWnQ9XWz999/H7Nnz8bMmTMBACtWrMCWLVuwatUqLFiwAACQmpra5Pv379+PdevWYcOGDSgtLYVarYazszMWLVpU5zgvLy+EhoZi9+7dmDp1aoPzqFQqqFQq/evi4mJDPiYRERGZEclbkG6lqqoKBw8eRHR0tH6bTCZDdHQ09u3b16xzJCQkICsrC5mZmVi6dClmz56tT45yc3NRUlICACgqKkJiYiJ69+7d5HlcXFz0D39//1Z+OiIiIvNl6RVRJp0gFRQUQKPRwMvLq852Ly8v5OTktPr8Fy5cwIgRIxAaGooRI0Zg3rx56N+/f6PHLly4EEVFRfpHVlZWq69PREREpknyLrb2FBsbW+d1ZGTkLbvnbqZQKKBQKKBUKqFUKqHRaIwfIBEREZkEk25B8vDwgFwub1A4nZubC29vb0liiouLQ1paGpKTkyW5PhERdXCCaZRHm0YUbcekEyQbGxtERERg+/bt+m1arRbbt2/HsGHDJIyMiIiILJnkXWylpaU4e/as/nVGRgZSU1Ph5uaGgIAAxMfHY8aMGRg0aBAiIyOxbNkylJWV6Ue1tTd2sREREVl+kbbkCVJKSgpGjx6tfx0fHw8AmDFjBtasWYPp06cjPz8fixYtQk5ODsLCwrB169YGhdvtJS4uDnFxcSguLoaLi4skMRARUUdk6SmJaZE8QYqKirrt8h5z587F3Llz2ykiIiIi6uhMugbJFCmVSgQHB2Pw4MFSh0JERERthAmSgTiKjYiIyPIxQSIiIiKqhwmSgdjFRkREZPmYIBmIXWxERCQtS5+i0TQwQSIiIiKqhwkSERERUT1MkAzEGiQiIiLLxwTJQKxBIiIiSdxmUmUyLiZIRERERPUwQSIiIiKqhwkSERERUT1MkAzEIm0iIiLLxwTJQCzSJiIisnxMkIiIiMyJwJm02wMTJCIiIqJ6mCARERER1cMEiYiIiKgeJkgG4ig2IiKSBmfSbk9MkAzEUWxERESWjwkSERERUT1MkIiIiKgFLHu6ASZIRERE1AKWXRPFBImIiMisWHbLjalggkRERERUDxMkIiIionqYIBEREVELWHZXHxMkA3GiSCIiIoBF2lQHJ4okIiJJiKaVkFh2+xETJCIiImoB0cJTJCZIRERERPUwQSIiIiKqhwkSERERUT1MkIiIiMyJYNm1P6aCCRIRERFRPUyQiIiIiOrpMAlSeXk5unbtivnz5xu0j4iIiDqeDpMgLVmyBEOHDjV4HxEREXU8HSJBSk9Px6lTpxATE2PQPiIiItNhWjNpWzrJE6TExESMHz8evr6+EAQBmzZtanCMUqlEYGAgbG1tMWTIECQlJRl0jfnz5yMhIcHgfURERNQxSZ4glZWVITQ0FEqlstH969evR3x8PBYvXoxDhw4hNDQUY8eORV5env6YsLAwhISENHhkZ2dj8+bNCAoKQlBQUINz32ofERERdVxWUgcQExNzy+6t999/H7Nnz8bMmTMBACtWrMCWLVuwatUqLFiwAACQmpra5Pv379+PdevWYcOGDSgtLYVarYazszMWLVp0y331qVQqqFQq/evi4uIWfmIiIiIydZK3IN1KVVUVDh48iOjoaP02mUyG6Oho7Nu3r1nnSEhIQFZWFjIzM7F06VLMnj1bnwDdal9j53FxcdE//P39W/8BiYiIyCSZdIJUUFAAjUYDLy+vOtu9vLyQk5PTrrEsXLgQRUVF+kdWVla7Xp+IiMikWPiE3pJ3sbWn2NjYFu0DAIVCAYVCAaVSCaVSCY1GY9zgiIiIzImFD6oz6RYkDw8PyOVy5Obm1tmem5sLb29vSWKKi4tDWloakpOTJbk+ERERtT2TTpBsbGwQERGB7du367dptVps374dw4YNkzAyIiKiDo5dbG2rtLQUZ8+e1b/OyMhAamoq3NzcEBAQgPj4eMyYMQODBg1CZGQkli1bhrKyMv2otvbGLjYiIiLLJ3mClJKSgtGjR+tfx8fHAwBmzJiBNWvWYPr06cjPz8eiRYuQk5ODsLAwbN26tUHhdnuJi4tDXFwciouL4eLiIkkMRETUAYkWXvRjYiRPkKKioiDe5qbPnTsXc+fObaeIiIiIqKMz6RokU6RUKhEcHIzBgwdLHQoRERG1ESZIBuIoNiIiIsvHBImIiMicCBY+fMxEMEEyELvYiIiILB8TJAOxi42IiMjyMUEiIiIiqocJEhEREVE9TJAMxBokIiIiwMnWWuoQ2hQTJAOxBomIiKRhWjNpu9rbSB1Cm2KCRERERAYTLHzpEyZIRERERPUwQSIiIjIrnCiyPTBBMhCLtImIiCwfEyQDsUibiIgIFr/kCRMkIiIionqYIBERERHVwwSJiIiIqB4mSERERET1MEEyEEexERGRJCx8YkZTwwTJQBzFRkREZPmYIBERERHVwwSJiIjInFj4/EOmggkSERERNV+XQbrnsIeljaONWUkdABEREZmRxzcB2YeBrndIHUmbYoJEREREzadwArqNlDqKNscuNiIiIqJ6mCARERER1cMEyUCcKJKIiMjyMUEyECeKJCIisnxMkIiIiIjqYYJERERkVjhRZHtggkRERERUDxMkIiIionqYIBERERHVwwSJiIiIqB4mSERERET1MEEiIiIiqocJEhEREVE9VlIHYK5EUQQAFBcXSxwJERF1CGUqQCXqni3pd0+lRve5Skrb5XPV/t6u/T3eFEG83RHUqEuXLsHf31/qMIiIiKgFsrKy4Ofn1+R+JkgtpNVqkZ2dDScnJwjCjVlNBw8e3OQ6bY3tq7+tuLgY/v7+yMrKgrOzc9sE30y3+izteT5D3tecY293TFP7m7ud97B172vtPWzJPt5D476P97AuY97D1pyrue+19J+joiiipKQEvr6+kMmarjRiF1sLyWSyRjNPuVze5M1sbF9Txzs7O0v+n/pWn6U9z2fI+5pz7O2OaWq/odt5D1v2vtbew5bs4z007vt4D+sy5j1szbma+96O8HPUxcXltsewSNvI4uLiDNp3q+OlZuzYWno+Q97XnGNvd0xT+w3dbgo64j1syT7eQ+O+j/ewLmPG1ppzNfe9/Dmqwy42E1NcXAwXFxcUFRVJ/lcPtQzvofnjPTR/vIfmzRTuH1uQTIxCocDixYuhUCikDoVaiPfQ/PEemj/eQ/NmCvePLUhERERE9bAFiYiIiKgeJkhERERE9TBBIiIiIqqHCRIRERFRPUyQiIiIiOphgmTmAgMDMWDAAISFhWH06NFSh0MtUF5ejq5du2L+/PlSh0IGKiwsxKBBgxAWFoaQkBCsXLlS6pDIQFlZWYiKikJwcDAGDBiADRs2SB0StcCkSZPQqVMnTJ061Wjn5DB/MxcYGIjjx4/D0dFR6lCohV5++WWcPXsW/v7+WLp0qdThkAE0Gg1UKhXs7e1RVlaGkJAQpKSkwN3dXerQqJmuXLmC3NxchIWFIScnBxEREThz5gwcHBykDo0MsHPnTpSUlOCLL77A999/b5RzsgWJSELp6ek4deoUYmJipA6FWkAul8Pe3h4AoFKpIIoi+DenefHx8UFYWBgAwNvbGx4eHrh27Zq0QZHBoqKi4OTkZNRzMkFqQ4mJiRg/fjx8fX0hCAI2bdrU4BilUonAwEDY2tpiyJAhSEpKMugagiBg1KhRGDx4ML7++msjRU5A+9y/+fPnIyEhwUgRU33tcQ8LCwsRGhoKPz8/vPDCC/Dw8DBS9AS0zz2sdfDgQWg0Gvj7+7cyarpZe95DY2KC1IbKysoQGhoKpVLZ6P7169cjPj4eixcvxqFDhxAaGoqxY8ciLy9Pf0xtbUP9R3Z2NgDgr7/+wsGDB/G///0Pb731Fo4ePdoun60jaOv7t3nzZgQFBSEoKKi9PlKH0x7/B11dXXHkyBFkZGTgm2++QW5ubrt8to6iPe4hAFy7dg2PP/44/vvf/7b5Z+po2useGp1I7QKAuHHjxjrbIiMjxbi4OP1rjUYj+vr6igkJCS26xvz588XVq1e3IkpqSlvcvwULFoh+fn5i165dRXd3d9HZ2Vl8/fXXjRk23aQ9/g/OmTNH3LBhQ2vCpFtoq3tYWVkpjhgxQly7dq2xQqUmtOX/wx07dohTpkwxRpiiKIoiW5AkUlVVhYMHDyI6Olq/TSaTITo6Gvv27WvWOcrKylBSUgIAKC0txZ9//ol+/fq1SbxUlzHuX0JCArKyspCZmYmlS5di9uzZWLRoUVuFTPUY4x7m5ubq/w8WFRUhMTERvXv3bpN4qSFj3ENRFBEbG4sxY8bgsccea6tQqQnGuIdtxUrSq3dgBQUF0Gg08PLyqrPdy8sLp06datY5cnNzMWnSJAC60TSzZ8/G4MGDjR4rNWSM+0fSMsY9vHDhAp566il9cfa8efPQv3//tgiXGmGMe7hnzx6sX78eAwYM0NfGfPnll7yP7cRYP0ujo6Nx5MgRlJWVwc/PDxs2bMCwYcNaFRsTJDPWvXt3HDlyROowyAhiY2OlDoFaIDIyEqmpqVKHQa1w5513QqvVSh0GtdIff/xh9HOyi00iHh4ekMvlDQo6c3Nz4e3tLVFU1Fy8f+aP99D88R6aP1O+h0yQJGJjY4OIiAhs375dv02r1WL79u2tbhaktsf7Z/54D80f76H5M+V7yC62NlRaWoqzZ8/qX2dkZCA1NRVubm4ICAhAfHw8ZsyYgUGDBiEyMhLLli1DWVkZZs6cKWHUVIv3z/zxHpo/3kPzZ7b30Gjj4aiBHTt2iAAaPGbMmKE/5j//+Y8YEBAg2tjYiJGRkeL+/fulC5jq4P0zf7yH5o/30PyZ6z3kWmxERERE9bAGiYiIiKgeJkhERERE9TBBIiIiIqqHCRIRERFRPUyQiIiIiOphgkRERERUDxMkIiIionqYIBERERHVwwSJiEhCVVVV6NmzJ/bu3WvU827duhVhYWFcqZ6ohZggEZHRxMbGQhCEBo+b12GiulasWIFu3bph+PDh+m2CIGDTpk0Njo2NjcXEiRObdd57770X1tbW+Prrr40UKVHHwgSJiIzq3nvvxZUrV+o8unXr1uC4qqoqCaIzLaIo4uOPP8asWbPa5PyxsbH46KOP2uTcRJaOCRIRGZVCoYC3t3edh1wuR1RUFObOnYvnn38eHh4eGDt2LADg+PHjiImJgaOjI7y8vPDYY4+hoKBAf76ysjI8/vjjcHR0hI+PD9577z1ERUXh+eef1x/TWIuLq6sr1qxZo3+dlZWFBx98EK6urnBzc8OECROQmZmp31/bOrN06VL4+PjA3d0dcXFxUKvV+mNUKhVefPFF+Pv7Q6FQoGfPnvj8888hiiJ69uyJpUuX1okhNTX1li1oBw8exLlz5zBu3DgDv8tAZmZmo611UVFR+mPGjx+PlJQUnDt3zuDzE3V0TJCIqN188cUXsLGxwZ49e7BixQoUFhZizJgxCA8PR0pKCrZu3Yrc3Fw8+OCD+ve88MIL2LVrFzZv3oxt27Zh586dOHTokEHXVavVGDt2LJycnLB7927s2bMHjo6OuPfee+u0ZO3YsQPnzp3Djh078MUXX2DNmjV1kqzHH38c3377LT766COcPHkSn376KRwdHSEIAp544gmsXr26znVXr16NkSNHomfPno3GtXv3bgQFBcHJycmgzwMA/v7+dVrpDh8+DHd3d4wcOVJ/TEBAALy8vLB7926Dz0/U4YlEREYyY8YMUS6Xiw4ODvrH1KlTRVEUxVGjRonh4eF1jn/jjTfEe+65p862rKwsEYB4+vRpsaSkRLSxsRG/++47/f6rV6+KdnZ24nPPPaffBkDcuHFjnfO4uLiIq1evFkVRFL/88kuxd+/eolar1e9XqVSinZ2d+Ntvv+lj79q1q1hdXa0/Ztq0aeL06dNFURTF06dPiwDE33//vdHPfvnyZVEul4sHDhwQRVEUq6qqRA8PD3HNmjVNfr+ee+45ccyYMQ22AxBtbW3rfB8dHBxEKysrccKECQ2Or6ioEIcMGSLef//9okajqbMvPDxcfO2115qMgYgaZyVtekZElmb06NFYvny5/rWDg4P+64iIiDrHHjlyBDt27ICjo2OD85w7dw4VFRWoqqrCkCFD9Nvd3NzQu3dvg2I6cuQIzp4926ClprKysk73U79+/SCXy/WvfXx8cOzYMQC67jK5XI5Ro0Y1eg1fX1+MGzcOq1atQmRkJH766SeoVCpMmzatybgqKipga2vb6L4PPvgA0dHRdba9+OKL0Gg0DY594oknUFJSgt9//x0yWd2OATs7O5SXlzcZAxE1jgkSERmVg4NDk11KNydLAFBaWorx48fjnXfeaXCsj49Ps0e/CYIAURTrbLu5dqi0tBQRERGNjujq3Lmz/mtra+sG560dJm9nZ3fbOJ588kk89thj+OCDD7B69WpMnz4d9vb2TR7v4eGhT8Dq8/b2bvB9dHJyQmFhYZ1tb775Jn777TckJSU12lV37dq1Op+RiJqHCRIRSWbgwIH44YcfEBgYCCurhj+OevToAWtraxw4cAABAQEAgOvXr+PMmTN1WnI6d+6MK1eu6F+np6fXaTUZOHAg1q9fD09PTzg7O7co1v79+0Or1WLXrl0NWnZq3XfffXBwcMDy5cuxdetWJCYm3vKc4eHhWL58OURRhCAIBsf0ww8/4N///jd+/fVX9OjRo8H+2hay8PBwg89N1NGxSJuIJBMXF4dr167hoYceQnJyMs6dO4fffvsNM2fOhEajgaOjI2bNmoUXXngBf/75J44fP47Y2NgG3UhjxozBxx9/jMOHDyMlJQXPPPNMndagRx55BB4eHpgwYQJ2796NjIwM7Ny5E3//+99x6dKlZsUaGBiIGTNm4IknnsCmTZv05/juu+/0x8jlcsTGxmLhwoXo1asXhg0bdstzjh49GqWlpThx4oQB3zWd48eP4/HHH8eLL76Ifv36IScnBzk5Obh27Zr+mP3790OhUNw2DiJqiAkSEUnG19cXe/bsgUajwT333IP+/fvj+eefh6urqz4JevfddzFixAiMHz8e0dHRuPPOOxvUMr333nvw9/fHiBEj8PDDD2P+/Pl1urbs7e2RmJiIgIAATJ48GX379sWsWbNQWVlpUIvS8uXLMXXqVDz77LPo06cPZs+ejbKysjrHzJo1C1VVVZg5c+Ztz+fu7o5Jkya1aDLHlJQUlJeX480334SPj4/+MXnyZP0x3377LR555JFbdvMRUeMEsX7HPRGRiYuKikJYWBiWLVsmdSgN7N69G3fddReysrLg5eV12+OPHj2Ku+++G+fOnWu0WL2lCgoK0Lt3b6SkpDQ6UScR3RpbkIiIjEClUuHSpUt47bXXMG3atGYlRwAwYMAAvPPOO8jIyDBqPJmZmfjkk0+YHBG1EIu0iYiM4Ntvv8WsWbMQFhaGtWvXGvTe2NhYo8czaNAgDBo0yOjnJeoo2MVGREREVA+72IiIiIjqYYJEREREVA8TJCIiIqJ6mCARERER1cMEiYiIiKgeJkhERERE9TBBIiIiIqqHCRIRERFRPUyQiIiIiOr5f3nmN7FirS5pAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = np.logspace(-5, -1, 10000)\n", "Sn = get_sensitivity(f, sens_fn=X1TDISens, return_type=\"PSD\")\n", "plt.loglog(f, Sn, label=\"X,Y,Z\")\n", "Cn = get_sensitivity(f, sens_fn=XY1TDISens, return_type=\"PSD\")\n", "plt.loglog(f, Cn, label=\"XY, YZ, ZX\")\n", "plt.legend()\n", "plt.xlabel(\"Frequency (Hz)\")\n", "plt.ylabel(\"PSD\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### PSD for TDI channels A,E,T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similary now for TDI A,E,T channels." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'PSD')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = np.logspace(-5, -1, 10000)\n", "SnA = get_sensitivity(f, sens_fn=A1TDISens, return_type=\"PSD\")\n", "SnE = get_sensitivity(f, sens_fn=E1TDISens, return_type=\"PSD\")\n", "SnT = get_sensitivity(f, sens_fn=T1TDISens, return_type=\"PSD\")\n", "plt.loglog(f, SnA, label=\"A\")\n", "plt.loglog(f, SnE, label=\"E\")\n", "plt.loglog(f, SnT, label=\"T\")\n", "plt.xlabel(\"Frequency (Hz)\")\n", "plt.legend()\n", "plt.ylabel(\"PSD\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sensitivity Matrices" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sensitivity Matrices create a holder for sensitivity information across different channels. It allows for a common backend to be fed to diagnostic functions regardless if you are using AET in a length 3 array, XYZ in 3x3 matrix, or a set of basic `LISASens` objects. Sensitivity matrices can plot your sensitivity and update information on the fly (like if the frequency changes). \n", "\n", "Here is a custom version of a 3x3 sensitivity matrix. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "sens_mat = SensitivityMatrix(\n", " f,\n", " [\n", " [X1TDISens, XY1TDISens, ZX1TDISens],\n", " [XY1TDISens, Y1TDISens, YZ1TDISens],\n", " [ZX1TDISens, YZ1TDISens, Z1TDISens],\n", " ],\n", " stochastic_params=(1.0 * YRSID_SI,),\n", " model=lisa_models.scirdv1,\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see the stock SensitivityMatrix options with `lisatools.sensitivity.get_stock_sensitivity_matrix_options`." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from lisatools.sensitivity import get_stock_sensitivity_matrix_options" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['XYZ1SensitivityMatrix', 'AET1SensitivityMatrix', 'AE1SensitivityMatrix']" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "get_stock_sensitivity_matrix_options()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
, array([, ], dtype=object))" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sens_mat2 = AE1SensitivityMatrix(\n", " f,\n", " # stochastic_params=None, (1.0 * YRSID_SI,),\n", " model=lisa_models.scirdv1,\n", ")\n", "\n", "sens_mat2.loglog()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can adjust the frequencies, model, or stochastic information (see below for Stochastic) with the methods that start with \"update.\" For the frequency:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "sens_mat2.update_frequency_arr(np.logspace(-4, -1, 1000))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "array([0.0001 , 0.00010069, 0.00010139, 0.0001021 , 0.0001028 ,\n", " 0.00010352, 0.00010424, 0.00010496, 0.00010569, 0.00010642,\n", " 0.00010716, 0.0001079 , 0.00010865, 0.00010941, 0.00011016,\n", " 0.00011093, 0.0001117 , 0.00011247, 0.00011325, 0.00011404,\n", " 0.00011483, 0.00011563, 0.00011643, 0.00011724, 0.00011805,\n", " 0.00011887, 0.0001197 , 0.00012053, 0.00012136, 0.0001222 ,\n", " 0.00012305, 0.00012391, 0.00012477, 0.00012563, 0.0001265 ,\n", " 0.00012738, 0.00012826, 0.00012915, 0.00013005, 0.00013095,\n", " 0.00013186, 0.00013278, 0.0001337 , 0.00013463, 0.00013556,\n", " 0.0001365 , 0.00013745, 0.0001384 , 0.00013936, 0.00014033,\n", " 0.0001413 , 0.00014228, 0.00014327, 0.00014426, 0.00014527,\n", " 0.00014627, 0.00014729, 0.00014831, 0.00014934, 0.00015038,\n", " 0.00015142, 0.00015247, 0.00015353, 0.00015459, 0.00015567,\n", " 0.00015675, 0.00015783, 0.00015893, 0.00016003, 0.00016114,\n", " 0.00016226, 0.00016339, 0.00016452, 0.00016566, 0.00016681,\n", " 0.00016797, 0.00016913, 0.00017031, 0.00017149, 0.00017268,\n", " 0.00017388, 0.00017508, 0.0001763 , 0.00017752, 0.00017875,\n", " 0.00017999, 0.00018124, 0.0001825 , 0.00018377, 0.00018504,\n", " 0.00018632, 0.00018762, 0.00018892, 0.00019023, 0.00019155,\n", " 0.00019288, 0.00019422, 0.00019557, 0.00019692, 0.00019829,\n", " 0.00019966, 0.00020105, 0.00020244, 0.00020385, 0.00020526,\n", " 0.00020669, 0.00020812, 0.00020957, 0.00021102, 0.00021248,\n", " 0.00021396, 0.00021544, 0.00021694, 0.00021844, 0.00021996,\n", " 0.00022149, 0.00022302, 0.00022457, 0.00022613, 0.0002277 ,\n", " 0.00022928, 0.00023087, 0.00023247, 0.00023408, 0.00023571,\n", " 0.00023734, 0.00023899, 0.00024065, 0.00024232, 0.000244 ,\n", " 0.00024569, 0.0002474 , 0.00024911, 0.00025084, 0.00025258,\n", " 0.00025433, 0.0002561 , 0.00025788, 0.00025967, 0.00026147,\n", " 0.00026328, 0.00026511, 0.00026695, 0.0002688 , 0.00027067,\n", " 0.00027254, 0.00027443, 0.00027634, 0.00027826, 0.00028019,\n", " 0.00028213, 0.00028409, 0.00028606, 0.00028804, 0.00029004,\n", " 0.00029206, 0.00029408, 0.00029612, 0.00029818, 0.00030025,\n", " 0.00030233, 0.00030443, 0.00030654, 0.00030867, 0.00031081,\n", " 0.00031296, 0.00031514, 0.00031732, 0.00031952, 0.00032174,\n", " 0.00032397, 0.00032622, 0.00032849, 0.00033076, 0.00033306,\n", " 0.00033537, 0.0003377 , 0.00034004, 0.0003424 , 0.00034478,\n", " 0.00034717, 0.00034958, 0.000352 , 0.00035445, 0.0003569 ,\n", " 0.00035938, 0.00036187, 0.00036439, 0.00036691, 0.00036946,\n", " 0.00037202, 0.00037461, 0.0003772 , 0.00037982, 0.00038246,\n", " 0.00038511, 0.00038778, 0.00039047, 0.00039318, 0.00039591,\n", " 0.00039866, 0.00040142, 0.00040421, 0.00040701, 0.00040984,\n", " 0.00041268, 0.00041555, 0.00041843, 0.00042133, 0.00042426,\n", " 0.0004272 , 0.00043016, 0.00043315, 0.00043615, 0.00043918,\n", " 0.00044223, 0.0004453 , 0.00044839, 0.0004515 , 0.00045463,\n", " 0.00045778, 0.00046096, 0.00046416, 0.00046738, 0.00047062,\n", " 0.00047389, 0.00047718, 0.00048049, 0.00048382, 0.00048718,\n", " 0.00049056, 0.00049396, 0.00049739, 0.00050084, 0.00050432,\n", " 0.00050782, 0.00051134, 0.00051489, 0.00051846, 0.00052206,\n", " 0.00052568, 0.00052933, 0.000533 , 0.0005367 , 0.00054042,\n", " 0.00054417, 0.00054795, 0.00055175, 0.00055558, 0.00055943,\n", " 0.00056331, 0.00056722, 0.00057116, 0.00057512, 0.00057911,\n", " 0.00058313, 0.00058718, 0.00059125, 0.00059535, 0.00059948,\n", " 0.00060364, 0.00060783, 0.00061205, 0.0006163 , 0.00062057,\n", " 0.00062488, 0.00062921, 0.00063358, 0.00063798, 0.0006424 ,\n", " 0.00064686, 0.00065135, 0.00065587, 0.00066042, 0.000665 ,\n", " 0.00066962, 0.00067426, 0.00067894, 0.00068365, 0.0006884 ,\n", " 0.00069317, 0.00069798, 0.00070282, 0.0007077 , 0.00071261,\n", " 0.00071756, 0.00072253, 0.00072755, 0.0007326 , 0.00073768,\n", " 0.0007428 , 0.00074795, 0.00075314, 0.00075837, 0.00076363,\n", " 0.00076893, 0.00077426, 0.00077964, 0.00078505, 0.00079049,\n", " 0.00079598, 0.0008015 , 0.00080706, 0.00081266, 0.0008183 ,\n", " 0.00082398, 0.0008297 , 0.00083545, 0.00084125, 0.00084709,\n", " 0.00085296, 0.00085888, 0.00086484, 0.00087084, 0.00087689,\n", " 0.00088297, 0.0008891 , 0.00089527, 0.00090148, 0.00090773,\n", " 0.00091403, 0.00092037, 0.00092676, 0.00093319, 0.00093966,\n", " 0.00094618, 0.00095275, 0.00095936, 0.00096602, 0.00097272,\n", " 0.00097947, 0.00098627, 0.00099311, 0.001 , 0.00100694,\n", " 0.00101393, 0.00102096, 0.00102804, 0.00103518, 0.00104236,\n", " 0.00104959, 0.00105688, 0.00106421, 0.00107159, 0.00107903,\n", " 0.00108652, 0.00109405, 0.00110165, 0.00110929, 0.00111699,\n", " 0.00112474, 0.00113254, 0.0011404 , 0.00114831, 0.00115628,\n", " 0.0011643 , 0.00117238, 0.00118052, 0.00118871, 0.00119696,\n", " 0.00120526, 0.00121362, 0.00122204, 0.00123052, 0.00123906,\n", " 0.00124766, 0.00125632, 0.00126503, 0.00127381, 0.00128265,\n", " 0.00129155, 0.00130051, 0.00130954, 0.00131862, 0.00132777,\n", " 0.00133698, 0.00134626, 0.0013556 , 0.00136501, 0.00137448,\n", " 0.00138402, 0.00139362, 0.00140329, 0.00141303, 0.00142283,\n", " 0.0014327 , 0.00144264, 0.00145265, 0.00146273, 0.00147288,\n", " 0.0014831 , 0.00149339, 0.00150376, 0.00151419, 0.0015247 ,\n", " 0.00153528, 0.00154593, 0.00155665, 0.00156746, 0.00157833,\n", " 0.00158928, 0.00160031, 0.00161141, 0.0016226 , 0.00163385,\n", " 0.00164519, 0.00165661, 0.0016681 , 0.00167967, 0.00169133,\n", " 0.00170307, 0.00171488, 0.00172678, 0.00173876, 0.00175083,\n", " 0.00176298, 0.00177521, 0.00178753, 0.00179993, 0.00181242,\n", " 0.00182499, 0.00183766, 0.00185041, 0.00186325, 0.00187617,\n", " 0.00188919, 0.0019023 , 0.0019155 , 0.00192879, 0.00194217,\n", " 0.00195565, 0.00196922, 0.00198288, 0.00199664, 0.0020105 ,\n", " 0.00202445, 0.00203849, 0.00205264, 0.00206688, 0.00208122,\n", " 0.00209566, 0.0021102 , 0.00212485, 0.00213959, 0.00215443,\n", " 0.00216938, 0.00218444, 0.00219959, 0.00221486, 0.00223022,\n", " 0.0022457 , 0.00226128, 0.00227697, 0.00229277, 0.00230868,\n", " 0.0023247 , 0.00234083, 0.00235707, 0.00237342, 0.00238989,\n", " 0.00240648, 0.00242317, 0.00243999, 0.00245692, 0.00247396,\n", " 0.00249113, 0.00250842, 0.00252582, 0.00254335, 0.00256099,\n", " 0.00257876, 0.00259666, 0.00261467, 0.00263282, 0.00265108,\n", " 0.00266948, 0.002688 , 0.00270665, 0.00272543, 0.00274434,\n", " 0.00276339, 0.00278256, 0.00280187, 0.00282131, 0.00284088,\n", " 0.0028606 , 0.00288044, 0.00290043, 0.00292056, 0.00294082,\n", " 0.00296123, 0.00298177, 0.00300246, 0.00302329, 0.00304427,\n", " 0.0030654 , 0.00308666, 0.00310808, 0.00312965, 0.00315136,\n", " 0.00317323, 0.00319525, 0.00321742, 0.00323974, 0.00326222,\n", " 0.00328486, 0.00330765, 0.0033306 , 0.00335371, 0.00337698,\n", " 0.00340041, 0.00342401, 0.00344776, 0.00347169, 0.00349578,\n", " 0.00352003, 0.00354446, 0.00356905, 0.00359381, 0.00361875,\n", " 0.00364386, 0.00366914, 0.0036946 , 0.00372024, 0.00374605,\n", " 0.00377204, 0.00379822, 0.00382457, 0.00385111, 0.00387783,\n", " 0.00390474, 0.00393183, 0.00395911, 0.00398658, 0.00401424,\n", " 0.0040421 , 0.00407014, 0.00409838, 0.00412682, 0.00415546,\n", " 0.00418429, 0.00421332, 0.00424256, 0.00427199, 0.00430164,\n", " 0.00433148, 0.00436154, 0.0043918 , 0.00442227, 0.00445296,\n", " 0.00448386, 0.00451497, 0.0045463 , 0.00457784, 0.0046096 ,\n", " 0.00464159, 0.0046738 , 0.00470622, 0.00473888, 0.00477176,\n", " 0.00480487, 0.00483821, 0.00487178, 0.00490558, 0.00493962,\n", " 0.0049739 , 0.00500841, 0.00504316, 0.00507815, 0.00511339,\n", " 0.00514887, 0.00518459, 0.00522057, 0.00525679, 0.00529327,\n", " 0.00532999, 0.00536698, 0.00540422, 0.00544171, 0.00547947,\n", " 0.00551749, 0.00555578, 0.00559433, 0.00563314, 0.00567223,\n", " 0.00571159, 0.00575122, 0.00579112, 0.00583131, 0.00587177,\n", " 0.00591251, 0.00595353, 0.00599484, 0.00603644, 0.00607832,\n", " 0.0061205 , 0.00616297, 0.00620573, 0.00624879, 0.00629215,\n", " 0.0063358 , 0.00637977, 0.00642403, 0.00646861, 0.00651349,\n", " 0.00655869, 0.00660419, 0.00665002, 0.00669616, 0.00674262,\n", " 0.00678941, 0.00683652, 0.00688395, 0.00693172, 0.00697981,\n", " 0.00702824, 0.00707701, 0.00712612, 0.00717556, 0.00722535,\n", " 0.00727548, 0.00732597, 0.0073768 , 0.00742798, 0.00747952,\n", " 0.00753142, 0.00758368, 0.0076363 , 0.00768928, 0.00774264,\n", " 0.00779636, 0.00785046, 0.00790493, 0.00795978, 0.00801501,\n", " 0.00807062, 0.00812662, 0.00818301, 0.00823979, 0.00829696,\n", " 0.00835453, 0.0084125 , 0.00847087, 0.00852964, 0.00858883,\n", " 0.00864842, 0.00870843, 0.00876886, 0.0088297 , 0.00889097,\n", " 0.00895266, 0.00901478, 0.00907733, 0.00914031, 0.00920373,\n", " 0.00926759, 0.0093319 , 0.00939665, 0.00946185, 0.0095275 ,\n", " 0.00959361, 0.00966017, 0.0097272 , 0.0097947 , 0.00986266,\n", " 0.00993109, 0.01 , 0.01006939, 0.01013925, 0.01020961,\n", " 0.01028045, 0.01035178, 0.01042361, 0.01049593, 0.01056876,\n", " 0.01064209, 0.01071593, 0.01079029, 0.01086516, 0.01094055,\n", " 0.01101646, 0.0110929 , 0.01116987, 0.01124737, 0.01132541,\n", " 0.011404 , 0.01148312, 0.0115628 , 0.01164303, 0.01172382,\n", " 0.01180517, 0.01188708, 0.01196956, 0.01205261, 0.01213624,\n", " 0.01222045, 0.01230524, 0.01239062, 0.0124766 , 0.01256317,\n", " 0.01265034, 0.01273811, 0.0128265 , 0.0129155 , 0.01300511,\n", " 0.01309535, 0.01318621, 0.01327771, 0.01336984, 0.01346261,\n", " 0.01355602, 0.01365008, 0.01374479, 0.01384016, 0.01393619,\n", " 0.01403289, 0.01413026, 0.0142283 , 0.01432703, 0.01442644,\n", " 0.01452654, 0.01462733, 0.01472883, 0.01483103, 0.01493393,\n", " 0.01503755, 0.01514189, 0.01524696, 0.01535275, 0.01545928,\n", " 0.01556654, 0.01567455, 0.01578331, 0.01589283, 0.0160031 ,\n", " 0.01611414, 0.01622595, 0.01633854, 0.01645191, 0.01656606,\n", " 0.01668101, 0.01679675, 0.0169133 , 0.01703065, 0.01714882,\n", " 0.01726781, 0.01738762, 0.01750827, 0.01762975, 0.01775208,\n", " 0.01787526, 0.01799929, 0.01812418, 0.01824993, 0.01837656,\n", " 0.01850407, 0.01863246, 0.01876175, 0.01889193, 0.01902301,\n", " 0.01915501, 0.01928792, 0.01942175, 0.01955651, 0.0196922 ,\n", " 0.01982884, 0.01996642, 0.02010496, 0.02024447, 0.02038493,\n", " 0.02052638, 0.0206688 , 0.02081222, 0.02095662, 0.02110203,\n", " 0.02124845, 0.02139589, 0.02154435, 0.02169384, 0.02184436,\n", " 0.02199593, 0.02214855, 0.02230223, 0.02245698, 0.0226128 ,\n", " 0.0227697 , 0.02292769, 0.02308678, 0.02324697, 0.02340827,\n", " 0.02357069, 0.02373424, 0.02389893, 0.02406475, 0.02423173,\n", " 0.02439986, 0.02456916, 0.02473964, 0.0249113 , 0.02508415,\n", " 0.0252582 , 0.02543346, 0.02560993, 0.02578763, 0.02596656,\n", " 0.02614673, 0.02632815, 0.02651084, 0.02669478, 0.02688001,\n", " 0.02706652, 0.02725433, 0.02744343, 0.02763385, 0.02782559,\n", " 0.02801867, 0.02821308, 0.02840884, 0.02860596, 0.02880444,\n", " 0.0290043 , 0.02920556, 0.0294082 , 0.02961225, 0.02981772,\n", " 0.03002462, 0.03023295, 0.03044272, 0.03065395, 0.03086665,\n", " 0.03108082, 0.03129648, 0.03151363, 0.0317323 , 0.03195248,\n", " 0.03217418, 0.03239743, 0.03262222, 0.03284857, 0.0330765 ,\n", " 0.033306 , 0.0335371 , 0.0337698 , 0.03400412, 0.03424006,\n", " 0.03447764, 0.03471687, 0.03495776, 0.03520031, 0.03544456,\n", " 0.03569049, 0.03593814, 0.0361875 , 0.03643859, 0.03669142,\n", " 0.03694601, 0.03720237, 0.0374605 , 0.03772042, 0.03798215,\n", " 0.0382457 , 0.03851107, 0.03877828, 0.03904735, 0.03931829,\n", " 0.0395911 , 0.03986581, 0.04014242, 0.04042096, 0.04070142,\n", " 0.04098384, 0.04126821, 0.04155455, 0.04184289, 0.04213322,\n", " 0.04242556, 0.04271994, 0.04301636, 0.04331483, 0.04361538,\n", " 0.04391801, 0.04422274, 0.04452959, 0.04483856, 0.04514968,\n", " 0.04546295, 0.04577841, 0.04609604, 0.04641589, 0.04673795,\n", " 0.04706225, 0.0473888 , 0.04771761, 0.0480487 , 0.0483821 ,\n", " 0.0487178 , 0.04905584, 0.04939622, 0.04973896, 0.05008408,\n", " 0.05043159, 0.05078152, 0.05113388, 0.05148867, 0.05184594,\n", " 0.05220568, 0.05256791, 0.05293266, 0.05329994, 0.05366977,\n", " 0.05404216, 0.05441714, 0.05479472, 0.05517492, 0.05555776,\n", " 0.05594326, 0.05633143, 0.05672229, 0.05711586, 0.05751217,\n", " 0.05791123, 0.05831305, 0.05871766, 0.05912508, 0.05953533,\n", " 0.05994843, 0.06036439, 0.06078323, 0.06120498, 0.06162966,\n", " 0.06205729, 0.06248788, 0.06292146, 0.06335805, 0.06379767,\n", " 0.06424034, 0.06468608, 0.06513491, 0.06558686, 0.06604194,\n", " 0.06650018, 0.0669616 , 0.06742622, 0.06789407, 0.06836516,\n", " 0.06883952, 0.06931717, 0.06979814, 0.07028244, 0.07077011,\n", " 0.07126115, 0.07175561, 0.07225349, 0.07275484, 0.07325965,\n", " 0.07376798, 0.07427982, 0.07479523, 0.0753142 , 0.07583678,\n", " 0.07636298, 0.07689284, 0.07742637, 0.0779636 , 0.07850456,\n", " 0.07904928, 0.07959777, 0.08015007, 0.0807062 , 0.08126619,\n", " 0.08183007, 0.08239786, 0.08296959, 0.08354528, 0.08412497,\n", " 0.08470868, 0.08529644, 0.08588829, 0.08648423, 0.08708431,\n", " 0.08768856, 0.088297 , 0.08890966, 0.08952657, 0.09014776,\n", " 0.09077327, 0.09140311, 0.09203732, 0.09267593, 0.09331898,\n", " 0.09396648, 0.09461848, 0.095275 , 0.09593608, 0.09660175,\n", " 0.09727203, 0.09794697, 0.09862658, 0.09931092, 0.1 ])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sens_mat2.frequency_arr" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Orbits" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Orbital information is read in from files and stored in an `Orbits` class. There are two stock options: `EqualArmlengthOrbits` and `ESAOrbits`. The files for the classes are directly from the LISAOrbits code. The `lisatools` `Orbits` class can take any file that is output from the LISAOrbits code.\n", "\n", "Each orbit class, after instantiation, must be configured. This transforms the input file values into the setup used for analysis. During configuration, you can pass a time array, timestep, or you can ask the orbit class to setup for linear interpolation by passing `linear_interp_setup=True`. This setup will add enough points to the time array to make linear interpolation accurate enough. " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "equal = EqualArmlengthOrbits()\n", "equal.configure(linear_interp_setup=True)\n", "\n", "esa = ESAOrbits()\n", "esa.configure(linear_interp_setup=True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can access various information on the orbits with the methods that begin with `get`. \n", "You can get light travel times, spacecraft positions, or link normal vectors. These functions require a linear interpolation setup. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Link light travel times." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Time (s)')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t_vals = np.linspace(0.0, np.min([esa.t_base.max(), equal.t_base.max()]), 1000)\n", "for orbits, name in zip([esa, equal], [\"esa\", \"equal\"]):\n", " for link in [12, 23, 31]:\n", " plt.plot(t_vals, orbits.get_light_travel_times(t_vals, link), label=f\"{name}: {link}\")\n", "plt.legend()\n", "plt.ylabel(\"Light Travel Time (s)\")\n", "plt.xlabel(\"Time (s)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Spacecraft positions" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Time (s)')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t_vals = np.linspace(0.0, np.min([esa.t_base.max(), equal.t_base.max()]), 1000)\n", "fig, ax = plt.subplots(3, 1)\n", "for orbits, name in zip([esa, equal], [\"esa\", \"equal\"]):\n", " for sc in [1, 2, 3]:\n", " pos = orbits.get_pos(t_vals, sc)\n", " for i in range(3):\n", " ax[i].plot(t_vals, pos[:, i], color=f\"C{sc}\", label=f\"{name}: {link}\")\n", "ax[0].set_ylabel(\"spacecraft x (m)\")\n", "ax[1].set_ylabel(\"spacecraft y (m)\")\n", "ax[2].set_ylabel(\"spacecraft z (m)\")\n", "ax[2].set_xlabel(\"Time (s)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Defining a `LISAModel`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A `LISAModel` is a combination of sensitivity information and orbits. For the sensitivity, we define a two parameter model based on the OMS noise and acceleration noise." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "oms_noise_term = (13.0e-12) ** 2\n", "acceleration_noise_term = (2.0e-15) ** 2\n", "new_lisa = LISAModel(oms_noise_term, acceleration_noise_term, equal, \"new_lisa\")" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[LISAModel(Soms_d=2.25e-22, Sa_a=9e-30, orbits=, name='scirdv1'),\n", " LISAModel(Soms_d=9.999999999999999e-23, Sa_a=9e-30, orbits=, name='proposal'),\n", " LISAModel(Soms_d=9.999999999999999e-23, Sa_a=5.76e-30, orbits=, name='mrdv1'),\n", " LISAModel(Soms_d=6.241e-23, Sa_a=5.76e-30, orbits=, name='sangria')]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# example stock model\n", "get_available_default_lisa_models()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare two models. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = np.logspace(-5, 0, 10000)\n", "\n", "for model in [scirdv1, new_lisa]:\n", " Sn = get_sensitivity(f, sens_fn=\"LISASens\", model=model)\n", " plt.loglog(f, Sn, label=model.name)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Diagnostics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "LISA Analysis Tools comes with a wide variety of diagnostic computations. These can be used in actual pipelines. However, they are slower, so these should mainly be used to check faster Likelihood methods. \n", "\n", "To begin, we will define a basic sine wave as our waveform. " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "def sine_waveform(A, f0, phi0, t_arr):\n", " return A * np.sin(2 * np.pi * f0 * t_arr + phi0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Inner Product" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can take the inner product between to waveforms. See the inner product documentation for keyword arguments and details. " ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/mlkatz1/miniconda3/envs/lisa_env/lib/python3.12/site-packages/lisatools/detector.py:630: RuntimeWarning: divide by zero encountered in divide\n", " Sa_a = Sa_a_in * (1.0 + (0.4e-3 / frq) ** 2) * (1.0 + (frq / 8e-3) ** 4)\n", "/Users/mlkatz1/miniconda3/envs/lisa_env/lib/python3.12/site-packages/lisatools/detector.py:632: RuntimeWarning: divide by zero encountered in power\n", " Sa_d = Sa_a * (2.0 * np.pi * frq) ** (-4.0)\n", "/Users/mlkatz1/miniconda3/envs/lisa_env/lib/python3.12/site-packages/lisatools/detector.py:634: RuntimeWarning: invalid value encountered in multiply\n", " Sa_nu = Sa_d * (2.0 * np.pi * frq / C_SI) ** 2\n", "/Users/mlkatz1/miniconda3/envs/lisa_env/lib/python3.12/site-packages/lisatools/detector.py:639: RuntimeWarning: divide by zero encountered in divide\n", " Soms_d = Soms_d_in * (1.0 + (2.0e-3 / f) ** 4)\n", "/Users/mlkatz1/miniconda3/envs/lisa_env/lib/python3.12/site-packages/lisatools/detector.py:641: RuntimeWarning: invalid value encountered in multiply\n", " Soms_nu = Soms_d * (2.0 * np.pi * frq / C_SI) ** 2\n", "/Users/mlkatz1/miniconda3/envs/lisa_env/lib/python3.12/site-packages/lisatools/stochastic.py:178: RuntimeWarning: divide by zero encountered in power\n", " * (f ** (-7.0 / 3.0))\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Inner product : 1981.3392667268324\n", "Complex inner product : (1981.3392667268324+401.63841799838985j), phase maximized value: 2021.6376304090384\n", "Normalized inner product : 0.9800664328144687\n" ] }, { "data": { "text/plain": [ "(1e-05, 0.10206431774793984)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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d/F7UHw+h/lgIvbo5WDN+byTJmOnzoEmWB0k14iQZmqrOGT4PspIkYzii4GgwjC7+1H9ViM5idILf74ff77e/kCCIDgeF2Dg4muCvaxnrZfrkeQCONRkPOEVBi0onMRm98mRsXrOLpIM9omuPkC8pxBaTUZ7eLe8fWZ+jTA9kdM0TuvrgbTaqWztR2wzRWYwEQRAipP7PwnaE6lWQl0MS86TEDAU5XoUeXXzwe90IhCKoP9ak5dEIy2jwcsmRMdOvHuzHHH2W+t5R0vKkdB4kt2YoOM3vMeZJHQ2G0RSOIE1wbEtjEjyQ6n53bb4nDzcGUX8shN7ZjpZlpqGhATt37tR+V+c35uTkoG/fvigvL8f06dMxatQojB49GosXL261WYwEQXQuyEBiRFGU2F/XXaIu90Ao4ix8FYh5kNT8G33Ojwh6gybD53HcXVlvzCRLRgDOZGxez+WKVp1JkbFZ7y5+L1yukGMZgZic6v2jrilqIOkN7IzmvTnuUG99Xpy6ptPmpTzYzW9M5SxGgiA6F2QgMRIMRxBubhR4QtfYHLJAKKId8rwcC7Y8jGRVc2X4PMhI86AWTTjeFBFeTw3ZZTavBwDHQ7Jk1OvtQEb1c0yTY3AZZfRooyicrKkoiiZnjy4xb97xpgi6Cba90lexaXo73JtjQb3R7m6WsfUMJLv5jUDqZjESBNG5oBwkRlSPAhDzUgDO/rrWh0jUw8jpX+vqodlF7/GR4UFKkpdLht6JvFxODK6WMjrXOxiOaKNLonvj3PjQe7nSvXL2xnhPtr4HiSAIoq1ABhIj6sHh97rh87rh80g44BIYM04PdrXHUKbPA79XhoyqoRCTMRByKmPMoPFL8JwZjJlmnfUePyEZdd49vwTPmd7Azkzz6PZbjoHt1wwup4Zhy3syQAYSQRCdEDKQGNFXnAGQ4gFQjZmMtFj4KuDgEA5HFM14yfR55eT36ErJ5YUBE4TtHBzsjfqQnS7c6eSzPBqQLWN0PZ/XDa/HLWVN/T0pK/yZ6J50anQRBEG0R8hAYkRf7g5ASvhBK9P260JNDkIk+tETmT6PFnY57sDjo+oX9SDJyUk5KjnP5ZjBgxQzkKQYH5LCYfrWBkDs/nHkldIMTTkeSL2BrQ8DUoiNIIjOCBlIjKgehS7+uANOgldBWhin+RD2uF3we92xg92B0aWF7PzyclK0MI4vljsjq9LO7XZp4U8ncibKQXIWDjMa2Gr405FBHNAb2PJClYAatpPjMSQIgmiPkIHESPwBpxofTvIzjuo9SF4JBpcuLORyuSR5KWLGjD7Pxa7SyAxFUQxzzmQe7Kp3xi8j/Knb73QJ+T3mBraMHCRJSd/xBraEe5IgCKK9QgYSI/q8GQBSesTEyrRjuTPOQmzGPCkZOUOq3vocJEA8UTsQikC1rYx5Us7DYRkS9T6WKL9Hxl43G9ixnCHJOUgSZMxMixrYGT4KsREE0XkhA4mReOPDLyPEFmhZ5u8osTg+jKOVpztPgNaXfQPiB3GjbuxJRlqs0s5Zu4T4BHrZFWIS2iWo66XFJflLMojltHSIGcMANA8SVbERBNEZIQOJEfWwTU+TdwirXpgMn5wQW0sZmw9hB0aXejhmpHmQ5nHD09w1XFRO1WPi80bXkvI56mQEICUkpv8sZeRJBZpie62uCzjbG72MMsKfqnHeQkYykAiC6ISQgcSIasz4vWoYx7nnQz3Y/V53LMQmweBSvTIywi7ammly1tTrbFjPQaip5d44k1FRFIPeMsKAqvGRlL3xSgp/NsXdPxLuSYIgiPYKGUiMBOMMBRl/XQfDsQNO9VKEIwqawmIHXDDOQJJRaRdvfDj1Sul1NsoozzB0Gv4MRRQtT8rvlRP+lC0jYLwn9eHPgOCagbi9iTUapSRtgiA6H2QgMRLvAdDyM5x4PnR/sauGF+DAO6PK2CLUJPFgdzjSIt5LIUdGVW+jYSjq+dDvqb6ay0kCvZmh6cxjGLsn9eFPYb1b7A2F2AiC6LyQgcSIenj44sMPEg5Nn9cNv9cNV/R8c3ywq32ApIRxml8br7eoVyGZYcCY3s6MLn1Sss+jC7FJCAP6khJikxT+DMXtNc1iIwiiE0MGEiPxHgCnvXYiEUUXbnJH+xZpVUOiOSRGT4qMRn9BySG2+ENYRqhJ83xISqDXG1xut0tK+LOFB1Km3tL2JrEHSfR+JAiCaM+QgcSIWYjNaS4OIC8kZnbAyclBigstOg3jSA0Dyg1/tswXkhD+1PQ2hhZFP8doIrlRb7/DSkjZ+WYEQRDtGTKQGDEzPkR7DOn/Km+xpmMDSe1jIzHPRXJ+jyydjWvG5feI5knF6Swz/BmfnC66XiiiIKJLJI+u6VDvJpO9dhBGJgiCaK+QgcRIvOcjw2k4Ixx9ndsFeJuTa51OT4+vYovlC8k0PhzKGE5c7u4kjNOies+h3vFhRRnhT/MKQ2cyAroWDD45Xs0WMpIHiSCITggZSIyYHR6OQ03e6FgHwHnOkJm3x1GlXYuD3WkCdGKDKxiOIBwRbXAYF75yGP6M1zkqp9Pwp9wcJP2eqsnp0sKf8SE2ykEiCKITQgYSI2YHnOOKswSHsOMwTtyBKRoiURRF81T4pIcBjQYXIKH6yhMfGnIW/jTujaz9lhP+VHVO87jgbvZAyr4nNSOOQmwEQXRCWsVAWrJkCfr164f09HQUFxdj8+bNpteOHz8eLperxc9FF12kXXPttde2eH7ixIlJ1cG8R4ycqiZARpfquDCgT05Vk15Op2FAs4Tq6JqS9JZUaZd4byS1N3AYBoz39gDy78kMCrERBNGJ8Sb7DVasWIHy8nIsXboUxcXFWLx4MUpLS7Fjxw706tWrxfX//Oc/EQwGtd8PHTqE4cOH48orrzRcN3HiRDz99NPa736/P3lKwLzMX7S7cnxYKLq22/Ac/5qJq5qE2wYYDCRjd2VhveOqudxuF3weN4LhiMSqMzl6640Pn2O94xO/m0OLknTWry0cYou/x5vXbgorCEcUrRElQRBEZyDpHqRFixZh1qxZmDFjBgYPHoylS5ciMzMTy5YtS3h9Tk4O8vPztZ81a9YgMzOzhYHk9/sN1/Xo0SOperQwPprDOcIHXAIPgHoIyzo0tfUc9u5xuaKhHLkyytTbuDdqqM2p3omMV1l6+yQbw4DunhTVO8541YcYRfs/EQRBtFeSaiAFg0FUVlaipKQk9oZuN0pKSrBx40amNZ566ilcddVV6NKli+Hx9evXo1evXhg4cCBuuOEGHDp0SKrs8cR7fGQf6tE1ZXkVmg/h5gMzHFGEEqD1YUU1kTw5ejs1aIwhtpiMckZuGNeUZLw6NuKMOsuRMc7Q1OnvJNGfIAiiPZLUENvBgwcRDoeRl5dneDwvLw+ff/657es3b96Mbdu24amnnjI8PnHiRFx22WXo378/vvzyS9x5552YNGkSNm7cCI/H02KdQCCAQCCg/V5fX8+tS3zpt9PDKL7sG3B+aMYP1NUfcMFQRMt7YV4vLN/bY6m3wJr6RPIWnjNRGa30Ft6bxMaH1M9R2ppGA9vJmgRBEO2VpOcgOeGpp57C0KFDMXr0aMPjV111lfbvoUOHYtiwYTj55JOxfv16nH/++S3WWbBgAe69915HssgPX7VCqMmhgZTQk5JEz4eIl8LQkVzW3ljo7ThPKs2Y3yPVE6fK6PiejK7jcsXyw0Q/S4IgiPZKUkNsubm58Hg8qKmpMTxeU1OD/Px8y9c2NjbixRdfxMyZM23fZ8CAAcjNzcXOnTsTPj9v3jzU1dVpP3v27GFXopn4oa1pkg5Mn+GAi4axnIZx1DW9uqRatTEl33pGnfX/diyjzjuR5kBvQz+g+PCVQ+NDr3ea4zWNeqdJyhcyyCjJ6DLqHd2bJvIgEQTRyUiqgeTz+TBy5EisW7dOeywSiWDdunUYM2aM5WtfeuklBAIBXH311bbv8+233+LQoUPo3bt3wuf9fj+ysrIMP7yY5fe0qVycuMRvl8vlyKBJVCklTe80vd6xZpHc6+kq1VTZZOcLSVkzropNXU84PyyRB1KSESfzniQIgmivJL2Krby8HE888QSeeeYZbN++HTfccAMaGxsxY8YMAMC0adMwb968Fq976qmnMHnyZJxwwgmGxxsaGnDbbbfh/fffx9dff41169bh0ksvxSmnnILS0tKk6BAKRxBqPsRiJfRqCbTTiqHkhdiAWGVTU1jSIZyM8JX6WQoZcTGdtURyBzpH1zTfG+H9NgnRiq5pZWC3pXuSIAiivZL0HKQpU6bgwIEDmD9/Pqqrq1FUVISKigotcXv37t1wu4122o4dO/DOO+9g9erVLdbzeDz4+OOP8cwzz6C2thYFBQW44IILcP/99yetF5IhzyXOAxBRogaU18Nnayb2zoh7Uoxrxh1wAUEPUlMib4/8Mn8n5elWXg/h8GdTAkPTgd6Koph6IFU509M488Ms+mglw6tJVWwEQXQ2WiVJu6ysDGVlZQmfW79+fYvHBg4cCEVJ/Nd/RkYGXn/9dZni2aI/cOLDOED0YOc1kJJahSTJoImfPwdIrLSTpHfQwtsjWuYvW2+9J0vdGzW3JyqnA71lVtpZ6U0GEkEQnYykh9g6Aupfz163SzOEnJZAx/5aT16jSMOaIknaSWlmKdcrZZknJSmXy7mMsc/eUCHmwKBJSn5YQr2deTUJgiDaK2QgMZAob8brcUMtEnN0sEsNXyUwuhxU2yUlWdkiuVikPF12OMwgY4K9cfI5AkbD2kk39kR6O+/Oba43VbERBNHZIAOJgUTlz4CzUv/4CfTRfzeXuwsYCuGIooVyZJWnJyzzl9QHSVZ5emy9mMGl6qzmh/Gv2XJvnJTl63VWE8kBWXrLbEUg954kCIJoz5CBxEAirwfgLOcjfu6VYT0HOSlROWWHrySG2BJ5PhwZceZeLsBh+EpWGDCBzoAsveXkIBkSySV6NQmCINorZCAxYOZBclLqn6hhopMqNn2eS6LGjkJl/gmaEcoqd5e1plUzSwBoCjnQ29MyDOhkr1sYSI5ykMz1FpGxKaxArYvwJ9CbDCSCIDobZCAxEAwZeyCpODk8mhJVDEmoOHO5jB20tXwcgSTthDI67CCuymnIxXGgdyIZvW4X1EiWSAdxTUZJeU1NCXTWry/mMWwZTnWS06Q3qhIZXaLjSwiCINorZCAxoB4eaRIPONWjo28P4GS9UPN6aW5jnosjIy4Sq96TIaNBzkR6Oyih18uozhATlTOk6u2Ro3eivQac5XOFJO9NSOdhNOrtEV6zLbJr1y5MmDABgwcPxtChQ9HY2JhqkQiCaKO06WG1bQXNQDILkTg5hN0JjBmRA1M7hF2Gx2UcmgmNuHAEiqIYjDGmNRMZH06MGTPjw+tGIBRxbGzq1wNE96alzoY1ncgoycBWjWEg8T0pGlJta1x77bV44IEHMG7cOBw+fDhpzWUJgmj/kAeJgaCWL5T4gBMJPzQlCOPICLGZeblEQmKx0JAuZNecn6Io0MavsKIosUq7RAe7MxkT54eJGDSxz1JvKHgcyKgklFH2fjvzxMV0NnggO1CS9qeffoq0tDSMGzcOAJCTkwOvl/5GJAgiMWQgMWBmfDgpq46FhuRUc6membQ4I85JeXqi0FCaV7wDtN6g0ntnnH2Oib0zTtZM5JVSP1dHocp4A1vbG/48qUReKSdtJ0IJ7seojOJ687JhwwZcfPHFKCgogMvlwqpVq1pcs2TJEvTr1w/p6ekoLi7G5s2bmdf/4osv0LVrV1x88cX4wQ9+gIceekii9ARBdDTozycGEnk9AKehIYs8FychtvgDzlEYxzwcpq7ZhSNCYZ7n4iQXJ3l6p0nKQUrK3kTUe1JSvpldGLAVQmyNjY0YPnw4fvGLX+Cyyy5r8fyKFStQXl6OpUuXori4GIsXL0ZpaSl27NiBXr16AQCKiooQCoVavHb16tUIhUJ4++23UVVVhV69emHixIk488wz8aMf/SjpuhEE0f4gA4mBROEw/e+iZdVAXJm/g67FmpfLm9hLISZjy/CV2kE8ovCvqT9kE4WGRPRWX+Mz0VssxGYeBpT1ORpl5G9FoBpBehmdtJ1IRhiQl0mTJmHSpEmmzy9atAizZs3CjBkzAABLly7Fq6++imXLlmHu3LkAgKqqKtPXn3jiiRg1ahQKCwsBABdeeCGqqqosDaRAIIBAIKD9Xl9fz6MSQRDtGAqxMWCb5yLpL3YnOU2JEosdyxhpWSFmkJM3xGYwkPR5TQ7CgMnwICUIVzrJabL1zjjwIHkTJJKLdBA3ldFB7pVMgsEgKisrUVJSoj3mdrtRUlKCjRs3Mq1x5plnYv/+/fj+++8RiUSwYcMGnH766ZavWbBgAbKzs7Uf1bgiCKLjQwYSA7G/1uWFH2IhksQ5SIrC51UImeRJSQk1mfV/4tQ7pDO4ZCUCJ0fvRHsjXu6eaD3nMrb0nDnpIJ7oftSvmeoqtoMHDyIcDiMvL8/weF5eHqqrq5nW8Hq9eOihh3Duuedi2LBhOPXUU/HjH//Y8jXz5s1DXV2d9rNnzx5hHQiCaF9QiI0B0woxCTkfifJcos8rLcJGLDKaJwKLh13ivVLR3jghbr3V62V6UhJ9joDTEJsqp6QSejMZHVWxmSf5q2tm+kRkTF2IrTWwC+PF4/f7qRUAQXRSyIPEgDquwqwPkqyqIb8TD4BFPyBRGc3CLqJhO81L0aJSykm7hGT0f2o2FiQ1YTQNA0quYlPzw0Tk1PbaJJyaagMpNzcXHo8HNTU1hsdramqQn5+fIqkIgujIkIHEgFkOkpNS8kReqbQ4D4CYjPLK3c28ClrJu2CeS7yh6WSqvannQ1DvcESB2o3AuDdRnYWMuFBivWV4pczuSV6D2LxSU2yvZePz+TBy5EisW7dOeywSiWDdunUYM2ZMCiUjCKKjQiE2Buyq2Jx0V9aHXTxuFzxuF8IRhd9ASkq5e8tScidrmnopNGNGxJNik98jaMQB5qNGeDuIa0nfpnrL6VGlyhkIRQQ8kPLDgLw0NDRg586d2u+7du1CVVUVcnJy0LdvX5SXl2P69OkYNWoURo8ejcWLF6OxsVGraiMIgpAJGUgMJOqsDDgrTzcNiXncOBYJcyfF2o2zECr9tjO6BMOA5onA/OXuiebFGWR00sxSX0Kvm3Afiigt7gVLGe3CgAJ6JxpVA0TDn0fAv9/m8+Kak9NbwYP04YcfYsKECdrv5eXlAIDp06dj+fLlmDJlCg4cOID58+ejuroaRUVFqKioaJG4TRAEIQMykBhI1HMGcFaebmV0HWsKC4RIbFoRyAwNCXo+zJKVnbVLsGniyWso6GRI1AdJlTP+/axllJ8ArfUtSvLetKYHafz48bbVm2VlZSgrK0u6LARBEJSDxEAyDji7smr+A87ESyFjfIkk74xVWAiQF6p0JGOzzi5XNOQZv57ImqaeM0cVhrI9Z52jio0gCIIVMpAYMOsyLDrnLBJREDZrwijY+ToWYjOTUSCMY2LQpInKaBIW0taTmIsjLKNJawOP26VViHGHr8z0lhCiNZ0PKBpia7E3rubnyUAiCKJzQQYSA+phEx/OUA+jEKfxoR6YQIKKruYDKRQRO+BaGHFeVUaJYUBRvU0/x+ZDmFNn/Zpmng9RGRPlGGlGV4RzTbM2EYJ7bZRT0j1pUw0Y4tSZIAiivUMGEgNNJjlIon9d6w+veE+FVwuJiRldLTwAbnEPgJmXwitc5m/mpRBP0k40FkT/HsIyJsgxEvV0mYUq1eR3Xu+eoiixruQt2jo4uydb7jWF2AiC6JyQgcSAmVfBK3iw6w8vs4Od24Nk4qXwCnoU9HKaHZqi875arNescziiICLqnTGVUY4nJbqmqHfP7HNsXk/QiEu8prN7Utb9SBAE0d4hA4kBuxCbaEk1YEwE1r+HaH5PvJdCtKmjXgazxG/eQ9g0b0Y/YoXX+DAr83fsSTEPsXF79yxaOgjJGDE3sEU9SHYJ9CLePYIgiPYMGUgMmHkpRPOF9GGh+IaDXi0kJucQFs1JicqZOGFZk1HQk9IiLKRbn1dOu9AQ9+cYSSxjVE7B/ZbugYxdH9+jSttvWTI6CNESBEG0Z8hAYkDzIJlVSvF6FEwMLsOaksJXousZ1owbmhurvhI72M0MTRE5Zettlm8G6PQW9M7IymGzCtEK35NJuH8IgiDaM2QgMWA2Q0zYk2ISFgLEPT7mXgqxQ1hRFF1SddyhKepJMUmo1ocZRXNnzJKV+WVM7DUDnHj3zGQU3etYsrupB5L7njTZawceSIIgiPYMGUgMmCWwOj3grBKB+XvtmBkzYmXaYcPIDbmhoXgZXS6Xc4OmRWjIWbJywhCb6H63UqgS0Ld1kGNgx/ZFse1yTRAE0ZEgA4kBtcTZNMQmKSxkXJM3bGcWDnOWtJtIzqTqzR2ulNuCwSwcZpBRVG+zUKXMz1EwZ8hMb31OGyVqEwTRmWgVA2nJkiXo168f0tPTUVxcjM2bN5teu3z5crhcLsNPenq64RpFUTB//nz07t0bGRkZKCkpwRdffJE0+c0PD2c5JIm9FHJDQ3pPCo8HQO/VMA1fSZoYH5WzbYSGLGV0ut9m3j1Rj1RCD6Rcz5n+c6BSf4IgOhNJN5BWrFiB8vJy3H333diyZQuGDx+O0tJS7N+/3/Q1WVlZ2Ldvn/bzzTffGJ5/+OGH8dhjj2Hp0qXYtGkTunTpgtLSUhw/fjwpOgRtE1jlHXCxUnI5Rpfe68UTZrNqZik6vsRsXhzgoL2BTfiTu1GkicGlX1O8vYEs7559DpusRpH633m9ewRBEO2ZpBtIixYtwqxZszBjxgwMHjwYS5cuRWZmJpYtW2b6GpfLhfz8fO0nLy9Pe05RFCxevBh33XUXLr30UgwbNgzPPvss9u7di1WrViVFB7sRGdyN/kJWnhSxnCG7ZoRROTk8SM3redwuuOM7QAs3OLRowijoTbHz7gnvjTeRgSS5UaRwnpSVge10bxInfQP83j2CIIj2TFINpGAwiMrKSpSUlMTe0O1GSUkJNm7caPq6hoYGnHTSSSgsLMSll16KTz/9VHtu165dqK6uNqyZnZ2N4uJiyzWd0GSSg6QdcLzGjKWXQjR8ZZKs7BE74Cy9FIJGnHVoSG64Up9czCdj4oabgHODpmWPKvmhSuF5cSb3pCGBnnKQCILoRCTVQDp48CDC4bDBAwQAeXl5qK6uTviagQMHYtmyZfjXv/6F5557DpFIBGeffTa+/fZbANBex7NmIBBAfX294YcH7S/2uCRbn2iIxNJLIRa+Mg0DuvUhEh4DKfHw2+h7iHXnDlp4zkS7c2vePbOp9pyhymAyk7TNehZJ2mtAZ2jyhmgt7smYYUgeJIIgOg9troptzJgxmDZtGoqKivDDH/4Q//znP9GzZ0/83//9n/CaCxYsQHZ2tvZTWFjI/FpFUUwPJNGwkKWXwqEHKd5L4Xa7tD5DfDlI5onkorPYQlr/J/ODnWfNSESBqlK83qKhSiu9hT0+Jp4zzZiJRLgS6M32GnDi3bO/J8lAIgiiM5FUAyk3Nxcejwc1NTWGx2tqapCfn8+0RlpaGkaMGIGdO3cCgPY6njXnzZuHuro67WfPnj3MOliWu3sFE4GtkpUdzudKdMBpHh8BD1KiQ9j5LDaLOWcceltV2ol696x6VIknpycOV6qfo6IY+07ZymjScNMoo+g9KW+/CYIg2jNJNZB8Ph9GjhyJdevWaY9FIhGsW7cOY8aMYVojHA7jk08+Qe/evQEA/fv3R35+vmHN+vp6bNq0yXRNv9+PrKwsww8r+gO2RRjHLeZRYJkYzx92sTjYBbwKZqEro4y84Ssrvfm9cfrPyCw/jNe7F7TI75GdnK43Rnj2Jmgxqsa5jORBIgiCAABvst+gvLwc06dPx6hRozB69GgsXrwYjY2NmDFjBgBg2rRpOPHEE7FgwQIAwH333YezzjoLp5xyCmpra/HII4/gm2++wXXXXQcgmjR6yy234IEHHsCpp56K/v3747e//S0KCgowefJk6fJbzb1SD7hIswfAk8B7kwjLTtqC+R7WITH+Ay5kMbTVK+rlsgwNCciouzbeO+MVzJNiCV/J8krpZQ6GI0hP87CtZzGqxrl3T17uFUEQRHsm6QbSlClTcODAAcyfPx/V1dUoKipCRUWFlmS9e/duuHU5Kd9//z1mzZqF6upq9OjRAyNHjsR7772HwYMHa9fcfvvtaGxsxOzZs1FbW4uxY8eioqKiRUNJGegPmngDKH7IqsfNdsBZzWLzCY+KkHvAxcaCJDqExaqaWEJDPNVXVnvj0zxSEkOVXjHvnt0stqic/DlIckfV2PdW4s1rIgiCaM8k3UACgLKyMpSVlSV8bv369Ybff//73+P3v/+95Xoulwv33Xcf7rvvPlkimqI/1OMHg6YJhkisK4aczeeyMpBE+iBZerk4D0zZoSF9GLDF0FbBTtqWYUAtVCmW3xMfBvS4XXC7oh5IHr2twoCiHcTNBjLr34c8SARBdCbaXBVbWyM2Od3c8AD4yqpjY0GsOiHz9rGxr77iC19ZeKTUrtecpeRsoSF+Ga10lhlii3X7FvOcWQ3A5ZHTMgwoaMxo+52owlCw/xNBEER7hgwkG4IWuT0etwuq44LH4xNbU2In5JDFASdgdFnprSWnS/RyiSSnazJKDAtZJisL5EkpiqILV8r27lk0s+T17iWhvQFBEER7hgwkG0Im4REVEY9PMhJitVCg18orJdmDJHVEhoCMzTrHj4DRrxeOKIgI5DXJk9G80i66Jr/RZRlOFfXuUZI2QRCEATKQbDBLsFURKfW3nhjvzPiwHF/C4fGxSqgW8aQAdk0Y+T0pVuFP0RErbI0ixYb+WlcE8vRBsthrQe+e9T0plpxOEATRniEDyQarwwgQK3m3HmfhbCZZwr5FbrVRJE+vHfukb34Zzb1xmowiycqJvGb6ESsC4avE/Z/484X01ybuUSXgQVJnA1p4C/lH1ZAHiSAIQg8ZSDZY/WUdfVwkxCbXk6K/3nJNLg+S3LwZwNoblybQ3sAqsVi/X1yVcZresrxc5n20AJ3ePIOELfZGeFQNQwsGGlZLEERnggwkG6wSqgHBsEvE/GAXKfNXFMWmik38YJfZWVl2aMjK0NT3RRIzXmWFKhVNnvhWBIA+XCnHwPY5NbAtjE3e1hMEQRDtGTKQbLBKXtU/LhQaskyAZl8vHFGgzjq1SgTmk9Fcb9FuzVr4yjI0JOdzdLlcQq0DrMKAmoxCoUo7D6RY/6d4RLucx8KVFmtyJn4TBEG0Z8hAssEq9ACIhTQsQ2wCM8T0lVKJPB8iTRNZRpfwJwJbhYYcJGmbGK9eAe+eVRjQK+LlsvAWAqJl/ubhVK+gt0fzGCYKLWp6U4iNIIjOAxlINliN3AD087lEyvzNDziuqfYWM8n07yNSnm7XOFBR5BgfYjKaH+pROfk/S+smjCLtEqyrIEX2O9Zw08K7x+HlCkcUqLaPld68TTcJgiDaM2Qg2WDnpdDmcwk0ipQ3FiR2rawqJC00lCAcpg/tcI1YsQgNiSS7W4UBAd1cO54EaE1GOV3OrfZa/zjXfjcbP4n6P4l496wGMkfXpCRtgiA6H2Qg2WDVtRjQzeeSFBoS6VqsXut2tRzaapCRw5ix8lLovSGy9JYdqgTE9kZ2hZh9DpuAQcMwWFakr5KZnD4BvQmCINo7ZCDZoIWFTHJIxBKBLfI9BPrY2FXaqUnRPEm2TRZhQP0hKpJULWsWm1VHaSDm/eIKV4bsK8RE+iqZNhrVEr/59yahge0W+Bx1751ob7wC9yRBEER7hwwkG7RcHJtEYK4DyWJNoVJym3EoIvO5LMdZCPYYUj/LhKEhrb2ByFgQ6/wwvoR3qwoxkbEgNvePiHfPIgwolJjerLPLzAPZgTxICxcuxBlnnIEhQ4bgueeeS7U4BEG0YbypFqCtY9coUmhUhGWlFH9JtdW0eP3jIrPYEnkpXC4XPG4XwhGFWe9IREHYogmjSCm5Vc+i6ONy9fYKeGdCFuEwQHQWm30ieTAcgaIoCXsvtZBR13Az0fUi3r22yCeffIIXXngBlZWVUBQFEyZMwI9//GN079491aIRBNEGIQ+SDVaHESCWn2GZrOzl9/aofXlMk5W1JFs5ycrR9+I72PVJ7Il67WgyCniQ7AcJiyTQJzAUvPzl7rHeT3YyyvfuhRnlZM2z47kn2yLbt2/HmDFjkJ6ejoyMDAwfPhwVFRWpFosgiDYKGUg2WOULAWJeBesckiSUuwsMG7UzDHlzXfQhn4StA4RCldbeGTHvnrmxKeLds2sTIeTlYhgLon9vZhntKjWT3Chyw4YNuPjii1FQUACXy4VVq1a1uGbJkiXo168f0tPTUVxcjM2bNzOvP2TIEKxfvx61tbX4/vvvsX79enz33XcSNSAIoiNBITYbtPEYZp4Ur8AhzDAWRFGiHoBEOSHx2B5wIv177EJDXjcQYPem2E21F+sxJN+7x7I3PJ4UexlFvHv2lXZROSPIgMdeRptmqGkCeVIiNDY2Yvjw4fjFL36Byy67rMXzK1asQHl5OZYuXYri4mIsXrwYpaWl2LFjB3r16gUAKCoqQigUavHa1atXY/Dgwbjppptw3nnnITs7G2eddRY8HvvPhyCIzgkZSDbYVkoJdFfW+thYJAKr7+1x23+B24VIxHorWYeGvJyeLn0lmVUzSyEZJYaGYqNB5LRgsAqnAqLePQsPks5oYv0sm2xCtCJ5UiJMmjQJkyZNMn1+0aJFmDVrFmbMmAEAWLp0KV599VUsW7YMc+fOBQBUVVVZvscvf/lL/PKXvwQAXHfddTj11FMtrw8EAggEAtrv9fX1LKoQBNEBoBCbDXZ9bIQOOIY+NtE1+cJX5pVSDhKBbUZksOqt91IkHtoqN1QZfZw/NGTZQTwJZf5Cid8W++12uzSvI29+mHmSf+qTtIPBICorK1FSUqI95na7UVJSgo0bNzKvs3//fgDAjh07sHnzZpSWllpev2DBAmRnZ2s/hYWFYgoQBNHuIA+SDXZ5Lk6GjVpVIQEcHgDGXjsiZf7ma/J5U1QvhanBJRCqtJMxlvgtsjdyxqHYGZqxbt8yjS61wpB1b9QcNptmlinsg3Tw4EGEw2Hk5eUZHs/Ly8Pnn3/OvM6ll16Kuro6dOnSBU8//TS8XuuvwHnz5qG8vFz7vb6+nowkgugkkIFkg3awy8zvsai+8rhdcLmiOUjMB5ztOAsBT4pdbyXO+VxNtnkuIiX5bOEr1gaHihJrWyBrZIvWVynByBZANy+OK/Hber99HjcCoQiHd88uxMa3120ZHm8TAPj9fvj9/iRJQxBEW4ZCbDbYJrAK5c7YJH5zenyYJ8ZL8qQY1mQ9hO1Gboh4UizGghhlZNM7bBi5YR7+jCg8JfSMMvI0BtUMGuvKOGbvnu1AXf4cNtnk5ubC4/GgpqbG8HhNTQ3y8/NTJBVBEB0ZMpBssO2ELPDXtW1StZvP48N6wPGMirAbscLdB4khLARwelIsxoJEZeTz+Og9Llbz4vjWZAtVqp5KpjVDdnvD6d1jrAZMZQ6Sz+fDyJEjsW7dOu2xSCSCdevWYcyYMSmTiyCIjguF2GywG4gqUiEWsguJed1AMMzsVbAz4oQG4GpjQeyMD95mhPI9KeaNIvkS6A3NLC1msenf21ZGmzBgzFvI0/+JLSTG7t2TXw0oQkNDA3bu3Kn9vmvXLlRVVSEnJwd9+/ZFeXk5pk+fjlGjRmH06NFYvHgxGhsbtao2giAImZCBZINt+EqkzD9i/Rd7rLKJ74CTW+ZvHRrycurNmuciUuYvKzRk28xSl6jPHr6yDqeKhK/s95tvb2xDlWr4M8kepA8//BATJkzQfleTo6dPn47ly5djypQpOHDgAObPn4/q6moUFRWhoqKiReI2QRCEDMhAsoE5fMUTImE84GQlaWvhK6EwoJzkdK1SyiZvRqqMvOXuzdd53C64E1Qt6pt2soevGBPoZQ7A5bwntb0xG4cikEAvwvjx46Eo1jKXlZWhrKwsqXIQBEEAlINki1VJPsD/13o4okA9A+ySquWNihAIXzEbcazhK5tydyFPinWyMm/4KpZ3lXg9l8vFLSer50xubyVe755a5t92k7QJgiBaGzKQbIhNOpeVCKzrKG3jTWFuFGlzwGlz07i8XHZNGPn0tjO4xGax2YQBPXx621XaichpZ3SJNPG0M7p8Xt570q6qkt+7RxAE0d4hA8kG1oRY3mRlqzV5vRSsSdpcicA2Bg2/jKxJ2optmEVb0yY05OPNxbHRWS+nrOR0H6d3LxJRtBYD9p3TJe8NeZAIguhEkIFkg10VG2/PGUMisN2IDN7QkMxEYLtDmNuTYuOl0M8QY+7/xBYakhWqBPhDqnZhQN6EfP090Wo9qgQqDAmCINo7rWIgLVmyBP369UN6ejqKi4uxefNm02ufeOIJjBs3Dj169ECPHj1QUlLS4vprr70WLpfL8DNx4sSkyG5/eIj9te5yGZN+9WiHJmcfJKmJwCG70JBcT4pIj6GgbRhQMNndRGdAvzdsegdtcthEDc2onHIS6IN2YUA1xMbRo4ogCKK9k3QDacWKFSgvL8fdd9+NLVu2YPjw4SgtLdWGRsazfv16/OxnP8Obb76JjRs3orCwEBdccAG+++47w3UTJ07Evn37tJ+//vWvSZHf7vDgzkGy8cwA+hlivB4AOT2LonLahYbEPGd2XgoeOe3ymmJhQM5cLpOQXfQ5Pu+end7cSd+GEK2kHDZVRtMqNv4u5wRBEO2dpBtIixYtwqxZszBjxgwMHjwYS5cuRWZmJpYtW5bw+ueffx6/+tWvUFRUhEGDBuHJJ5/UOubq8fv9yM/P13569OiRFPlDNoYC7zT2EIuXQjh8Jc+DZHew8+ptP/SX34NkLyOvd09N+rbIQeL07tmNqnHiQTLzQPIaxLZJ/l7++6fD8/7jAGOuHEEQ7ZOkGkjBYBCVlZUoKSmJvaHbjZKSEuahkUePHkVTUxNycnIMj69fvx69evXCwIEDccMNN+DQoUNSZVex9QConhTm2VzWIRf9e3GHr2wOTFZPiqIomj6y5sXF+iAl1tvlcsXK0zn1NjW6uKu5rGXUP8e632ovIruxIPwyRkPLidfky5OyDQPqwqmsCfQdnjcfBF77DRAJp1oSgiCSRFIbRR48eBDhcLhFp9u8vDx8/vnnTGvccccdKCgoMBhZEydOxGWXXYb+/fvjyy+/xJ133olJkyZh48aN8Hg8LdYIBAIIBALa7/X19cw62PecUZvyyRkLEn1OsMzftiSfz5NitWZshhhvJ21rz1koonB7pexCQ7I8UqqMAHvJO+uwY/awIsv9w3dPsoYBgeg+Wu1h58EFfPAkUL8XuPwpwJeZaoEIgpBMm65i+5//+R+8+OKLWLlyJdLT07XHr7rqKlxyySUYOnQoJk+ejFdeeQUffPAB1q9fn3CdBQsWIDs7W/spLCxkloF5crqkfCEgZnTxj7Ow6YTM2TjQSk5evZkqxEQNGtM+SKLePSsjTm6FGPde24QqDWtyzouz2+voteRBAgBMfhzw+IEdrwHP/BhoOJBqiQiCkExSDaTc3Fx4PB7U1NQYHq+pqUF+fr7laxcuXIj/+Z//werVqzFs2DDLawcMGIDc3FzDoEs98+bNQ11dnfazZ88eZh3sJqfzJgIHWcI4Xl6Pj52XIrqeokDroWO5XojFg5SE8JWX72DX1rQdqCvPu6f1VpK039yhSnWwrEUiOW8CfZAngZ5K/aOc/mNg+stARg/gu0rgqRLgYOLvH4Ig2idJNZB8Ph9GjhxpSLBWE67HjBlj+rqHH34Y999/PyoqKjBq1Cjb9/n2229x6NAh9O7dO+Hzfr8fWVlZhh9WmmxycXjDV3Z9lQD+2Ve2XgrOBGhDrx1J1Xt2Xgr9e/GGK83zezjDVzbhMP17MYfYbPabO5xqo7NRRjn3pCGBnkr9Y/Q9C5i5Buh+EvD918BTPwJ2b0q1VARBSCLpIbby8nI88cQTeOaZZ7B9+3bccMMNaGxsxIwZMwAA06ZNw7x587Trf/e73+G3v/0tli1bhn79+qG6uhrV1dVoaGgAADQ0NOC2227D+++/j6+//hrr1q3DpZdeilNOOQWlpaXS5VcPD59dLg6vl8LigONOBLY94PQl9AwGki752TYRmPEQDjIc7Lx6s3rOmD0pNt5CQOfl4u5yLqepo91e659jD9GqSf7mCfQeN1+4stOQeypw3VqgYARw7DDw7CXAZy+nWiqCICSQdANpypQpWLhwIebPn4+ioiJUVVWhoqJCS9zevXs39u3bp13/+OOPIxgM4oorrkDv3r21n4ULFwIAPB4PPv74Y1xyySU47bTTMHPmTIwcORJvv/02/H6/dPlDdvk93H2QrMNC0ffi86SEGMM4UTntDzimZGVBT4qV3qLeFNup9pIGywL83j3WBpnsn2NURjODXf8cf28u+72hZpEJ6NoLuPZV4LSJQOg48Ldp0TYABEG0a5JaxaZSVlaGsrKyhM/FJ1Z//fXXlmtlZGTg9ddflySZPXZJsbyl6SwhEt7RDnaJ5B63Cy5XNAeJxavAkqzM60HSZLQKDXEc7IqixPbGdHwJbzNLhhCbNgaGT2+7Mn9eGVk8SPxhX+sE+uOIkAfJDF8XYMrzwH9uBz58CqiYC9TuAS54ALC45wmCaLvQ/7k22A+C5fOksA1E5TvgmEJDHHKytSIQHGchaRBsOKJoffpMR25w9kGyG11ikJF7DIx1iC3CmEAf6+wub2/swoAA/2fZKfF4gYv+Fyi5J/r7+0uAv18LNB1PpVQEQQhCBpIFihKbnG47GJQ7b0aOJ0X/3iyhIRaPD4sRp8nIXUpu3/+JxZui/7zN+iDxdtJm8SBxe/ckJ9DbjQUxyChpTh6g/yzJQLLE5QLG3gpc9iTgTgM++xfw7KXA0cOplowgCE7IQLKAbTBo9OAIRxREGIwFu5ym6Jq8vXYYDnYv+8FuFxbSvxf/LDY5HiT9QW1XaccdqmTQm7cFg5mBHd+E0V5G667pBhk5jTiZ92SnZ9iVwDUrAX82sOf9aIXb4V2ploogCA7IQLLA0DDRJLlYf6iwHEgsE+N5E4FZQkOxjt9yPEjiE+PleCnYun3ztWDQQpUsnjNZSdq6+4AlbBfba/tWBLJG1QD8CfQEgP7jgJmvA1l9gEM7o0bSd5WploogCEbIQLJAf8DY9doBGMNXDOEw0d5KLHlNLN4UvpALZ0dpltAQi5erWUa3y3xoK/dUe5uRLQBfqFJ/ndmaetlZDGzZocro+8q/J4lmep0ebQOQPxRoPAAs/zGwoyLVUhEEwQAZSBboD1a7JNv4681gahTJfbDLTapmCrlwJu1yhYZYvFwRexl5y935woB8bR3MwoAul0snp5wWDKJNPNkS6MmDxE1Wb2DGf4CTzweajgIv/gz44KlUS0UQhA1kIFmgHkYei4aJhhAJR+6MVR8b3twZNTTEMmSVT0arMCBvg0MOLwWLlytk/znGGibyNWGU6UlRr7MaDcLT2DHI4C3kl5HlnmT3QBIJ8HcDfr4CGHENoESAV8uBtfcA9HkSRJuFDCQL9B2lzXC5XJzhK/scEt7cmRDDANPYzDgWA4klaZc3EdjeS8EjY8imB1JUxliFoaKwe2esvVLsex2J6KogLT1nPB4khp5FnMYMT5I2hdgc4EkDLvkDMOH/RX9/5/fAytlAKJBauQiCSAgZSBaooSurv6wBXVIsRwK0ZUK16PgSSWuyGIayk5V5ZVSTzS0r7XTP8XjOrMKAPHobZtqxGJs8PapYDC6G+xFgHF9CZf5ycLmAH94OTH4ccHuBT14C/nIZcOz7VEtGEEQcZCBZwOL1APi8KTyjIvj72MjJIVE9D5YT47ll5MmdYfcgWYYBdZWHPN49lkRynnyhqJxySuibGBLJNWOG04MkS0aCgaKfA1NfAnzdgG/eAZZNBGp3p1oqgiB0kIFkQZDB2wPwGR92SbvR9xObz2VdfcXTY8g+LCRaISYrOZ0lDKj3LrF4U1hClTwy6o0JltEgLPudzAR6lr1hvScJBk4+D/jFf4BuvYEDnwNP/gjYtzXVUhEE0QwZSBaEGMIZAF8ysHpQsxzsvNPYmSa8c5T5s4WFGD1IIYZZbBx688yLAzh7VDF4Z1j2Wm9MWBpdAnpbegt5E+gZRtV4yYOUHPKHRtsA9BoMNFQDT18I7FybaqkIggAZSJbE/rJm8yAxeQAYQkM+L7vxoSgKV5k/yzR2npALb7k7SxgwyBG+spLR5XIJNZ+0/By9/Hud5jGvgtS/H493j6UPErMHkiHXjrdlAsFBdh/gFxVA/3OBYAPw/E+BLc+mWiqC6PSQgWQByxDP6PNyK8RinZDZx4IAbCMyWMZZsHmk+DwKbJVS7OXuTQxhIf3zTJVxLF4pDm+PprPNNHcvVw5bMvdGXkiV4CQ9G5j6D2DYVYASBl6+EXjzIYCh+pIgiORABpIFLLk90ecFKsQkJVQbZpJJW5N9FlswHGEqoZedSN7EEBbSr8niTWGbas/u3WOpDtPLyDJqJFZpJ8fboygKk5xU5t8KeH3AT5YC434T/f2t3wGrfgWEgqmViyA6KWQgWcBizACcHh+upnzsHqno6+Q0ONRkNJk/BxgP6DCHnExl/kxDW9laMPB591hykHj2mlVGjv1mGgvCbsTp947pniQPUnJxuYDzfwv8eDHg8gBbXwBeuBI4Xp9qyQii00EGkgWxfkCMB5y0CjH+Q10vR0IZ3RzhK5bBsvoZdBxhOxYPkqwkbYB3AK693rJDlfr34/KcSZu7p6+0YzAMGfQmJDBqBvCzF4G0LsBX64GnJwH1e1MtFUF0KshAsiCW/GyX56J2bOYIkViNnuA41EM6g8sqEdgr2UshOoNOVoUYi0dK/zyL3ppXysJzJlJpZycjV54Ug+fMy1HFps97sh5fQh6kVue0C4AZrwJdegE124AnS4CaT1MtFUF0GshAsoDVg8Qz2V4zuiy9FOyHOrOXgmtYrb23R+8BYzuIGZLTPexeChYZo2vyeM7sc694wlcs1YX65/laMMhJqNbvnax7kpBIwYhoG4Dc04D676INJb96K9VSEUSngAwkC7QkbQtvD5DaA44laTf6vEAY0EJGj35IL4/njKEJo6wwYPR5doOGJ4Geaa+1RHLWMKCcUTUiBrbbBbitwr40aiR19DgJmLkaOOkcIFAPPHc5sPXFVEtFEB0eMpAsYDnUAT6vAkvYhafRn+alsDHiYt4ZOaEhw5BeGznDEUWrVmZLgOYIsUk0XlkS6LnCgLweJK7Eb3tjJswwpJc9DEiNIlNKRg/g6n8CZ1wGRJqAlb8ENjxCbQAIIomQgWRBLCzElmTL1mvHPq9JqOu1xG7frO0NWPVmbUXAo7fWhFFml3OWHlUchiZ3GJAjP4yl6zVgb2wyt7Jws+9NW+EnP/kJevTogSuuuMLw+J49ezB+/HgMHjwYw4YNw0svvZQiCTlJSwcufwo4+6bo7288APz7ZiAcSq1cBNFBIQPJghBDOAPgrRpirxBrCrN4AFgPOIEKMVbPmY3exko7llJyOWFAgLNCjEFvPhnZ7h8uzxlHFRtgf0/y57C1H4/FzTffjGefbdmR2uv1YvHixfjss8+wevVq3HLLLWhsbEyBhAK43cAF9wMXLgRcbmDLM8CLPwMCDamWjCA6HGQgWcA+i01uaIinxxCvl4IlAZo/NMTmpbBbU8SYYW3iyVfFJjkMaNsokj33Kjaqxl5GFjnZqwHbXxXb+PHj0a1btxaP9+7dG0VFRQCA/Px85Obm4vDhw60snUNGzwKmPAd4M4AvVgPLLwSO1KRaKoLoUJCBZEFsfhhrArSc0BBPjyGWsBDAm+fCaHQxJu6qn6PLZUzubikjhzHDGQaU7kHiCQMylvkzGa8cI1sA+/1mDlW62WVkYcOGDZgyZQoAIDs7G6tWrWpxzZIlS9CvXz+kp6ejuLgYmzdvlvLeeiorKxEOh1FYWCh97aQz6CLg2leAzFxg39ZoG4ADO1ItFUF0GMhAskCdQG8bIhHofM1ShRS9njFEwnjAyQwNsVZLaV4K24qz5IUBpXXS5mniqd4/tnsjt0Gmy+XSDFH7vWEMA3IY2Cw0NjZiyJAhps+vWLEC5eXluPvuu7FlyxYMHz4cpaWl2L9/v3ZNUVERhgwZ0uJn7162hoqHDx/GtGnT8Oc//9mxPimjzyjgujVAzgCgbjfw1AXA1++mWiqC6BCQgWRBiGECPcDXY4ilozRPjyEt5MJcxSavCSNrjyHuMGDKqtgYxnjwdOZm9UAKeM7sxpcwe/e4w4ByPEiTJk3Cb3/7W9PnFy1ahFmzZmHGjBkYPHgwli5diszMTCxbtky7pqqqCtu2bWvxU1BQYPv+gUAAkydPxty5c3H22WdbXldfX2/4aXPkDABmrgX6jAaO1wJ/mQxs+0eqpSKIdg8ZSBawNA4E+IaDsngpPG4X1KbYdmsGGb0Ualk410BUxiGrdoNgWb0UQp+jjd6xobrWB7uiKJqBYuWdUQ1RnrEgrLlcQY69sdtv1uGyzGX+bra9lkEwGERlZSVKSkq0x9xuN0pKSrBx40bH6yuKgmuvvRbnnXcerrnmGstrFyxYgOzsbO2nzYbiupwATH8ZGPRjIBwE/v4L4N3HqA0AQTiADCQLeHNxZJXQu1wuLRxl5/Fhz3OR60kB2PVm90ixNzjk1pvRk2K3pqpzRAEitnuThFE1qt62HkNW7x6vtzD5B+7BgwcRDoeRl5dneDwvLw/V1dXM65SUlODKK6/Ea6+9hj59+mjG1bvvvosVK1Zg1apVKCoqQlFRET755JOEa8ybNw91dXXaz549e8QVSzZpGcBPnwWKb4j+vua3wGu3AZFwauUiiHaKN9UCtGVYPArR53kqm1jLql0IhiUecDzdmiN8Xgq7g52l9xPA20GcMTmd0YjT62Ddo0qXHxaJwO/2tJqM+mtsO6dzepDs7kcfhxHXVli7dm3Cx8eOHYsIox5+vx9+v1+mWMnF7QEm/Q/QvRB4/f8BHzwRHXJ7+ZOALzPV0hFEu4I8SBYEGcMPItPT7ROW2QyaIOMBJzIOhbn6SpaMPENWmfOa2Bo7qgnVgHVI1Vghxhq+an0Dm7WxI/P92Ip9kHJzc+HxeFBTYyxbr6mpQX5+ftLfv0MwZg5w5XLA4wd2vAo8czHQeDDVUhFEu6JVDCTect2XXnoJgwYNQnp6OoYOHYrXXnvN8LyiKJg/fz569+6NjIwMlJSU4IsvvpAuN8sEeoCvN44WGrKYGK9/T3bvjBxjhmdNVoOG+XPkKaHn7t9jY8ywepB0hoQsvYUMbMbQom0nbcb7kWdvnOLz+TBy5EisW7dOeywSiWDdunUYM2ZM0t+/w3DGZGDav6JjSr77MNoG4NCXqZaKINoNSTeQWMp19bz33nv42c9+hpkzZ+Kjjz7C5MmTMXnyZGzbtk275uGHH8Zjjz2GpUuXYtOmTejSpQtKS0tx/PhxqbKrByB7Kbn14aEoCnPiN2vOB3OlneRScoOMdkZchDUsxD/Tjn0MDJuh6XW74HKZr6n/nG29UgxjQdT31MtgLSfn+BLG3Cs7GXm8eyw0NDTg448/1n7ftWsXqqqqsHv3bgBAeXk5nnjiCTzzzDPYvn07brjhBjQ2NmLGjBlS3r/TcNIYYOYaoPtJwPe7okbS7k2ploog2gVJN5BYynX1PProo5g4cSJuu+02nH766bj//vvxgx/8AH/84x8BRI2MxYsX46677sKll16KYcOG4dlnn8XevXsTNptzQmwWm5wybf3zrAaNfRWb/egSHhmj78mXXCwrxCZixNmHhtgaHLIaXIYeQ3ZeqRBviE1m7hVrjyreFgxyPEgffvghxo0bp/1eXl6OESNGYP78+QCAKVOmYOHChZg/fz6KiopQVVWFioqKFonbBAO5pwLXrQUKRgDHDkfDbdQGgCBsSaqBJFKuu3HjRsP1AFBaWqpdv2vXLlRXVxuuyc7ORnFxsZQSYD3sVWxsBxzryA39e7IaXbJCLlE55XYQ5w4DcowFYQ5VMrYisJMRYO8xxLo3rHutKIqut5Icg4Y/DCjHgzR+/HjU1dUBAOrq6qAo0bmDy5cv164pKyvDN998g0AggE2bNqG4uFjKe3dKuvYCrn0VGHghEA5E2wC89Qi1ASAIC5JqIImU61ZXV1ter/6XZ03RZm/c874YPSkAT2WcXXIxY88ijnEoQc4wIKt3hrWvEpOMjJ4z1mR31tweg5w2evN6zuz2OhxRtPOMNana/p5k7BYvOcRGpABfl+j8tjFl0d/ffABYdQMQCqRWLoJoo3SKKjbRZm9d/F70yExDRpp5KTfA3sdGf/CzVrHZJxfztSLg6zHEuCbzOBQ2nVPRY4i1AWN0Td4O4rLyzXSVdpKq2DQZGfPsZIXYiBTh9gClDwIXLQJcHmDrX4G//AQ4ejjVkhFEmyOpBpJIuW5+fr7l9ep/edYUbfb26FUj8NH8CzB5xImW17F6KdQDzuN2wS2txxBvSb7ECjHWHkOMY0HiewxZr8kbBpQTqgTYqxZZ+z+x7rV+72RVLbKHAdkNbKIdcOZMYOpLgD8L+OZdqnAjiAQk1UASKdcdM2aM4XoAWLNmjXZ9//79kZ+fb7imvr4emzZtMl3T7/cjKyvL8CMT1gMuFhZi91LIGhXBU4XEHBpi7THEORaERU7m0BD3yA37vWEtyw9yes5Yw4BRGVgNGsZ7krFbPHmQOhCnnA/84nUguy9w+EvgyfOBr99JtVQE0WZIeojNrlx32rRpmDdvnnb9zTffjIqKCvzv//4vPv/8c9xzzz348MMPUVYWjZu7XC7ccssteOCBB/Dyyy/jk08+wbRp01BQUIDJkycnW52EsHYtVv/6ths0ql+TfYyHjfHh5ekxFGGSk1lGTi8Fy5qsCfSsxgxPkjbzfrMO1PXyeQvdLmiVdGawezVZ8+woB6lDkjcYmLUOOHEUcOx74NnJQNVfUy0VQbQJkj5qZMqUKThw4ADmz5+P6upqFBUVGcp1d+/eDbfuL+yzzz4bL7zwAu666y7ceeedOPXUU7Fq1SoMGTJEu+b2229HY2MjZs+ejdraWowdOxYVFRVIT09PtjoJ4c1JsftrHWA/2NXn7b0UbId6OKJAjaIwtzeQpLfes2YbYuMNDTEaM3Y6R69h1DvC6Dlj9O6xtp3QX8Mc/pTU84poh3TtBVz7CrDyeuCzVcCq66MepfF3AjbfKwTRkWmVWWxlZWWaByie9evXt3jsyiuvxJVXXmm6nsvlwn333Yf77rtPloiOYG1wGAtdsee52E14V0dksHpSbKvieCrttAnvcsKALpcLXrcLoYjC0f+J7WC3m0LPFWJjNDbZw4CMMobYDC6Afb9Z70m9ga0oimUzTaIdkpYBXPE08MYA4J1FwIZHojlJkx8H0lLzhydBpBr680ACvH2Q2EJsbH1nmhhDJMweBd372YfY+Lo1sxgf/B3EWXOvWGVk9yCxJ5IzhgGZx4LwJJLL6VFlyA+jRO2OidsNlNwNXLoEcHuBT/8JPPNjoCHx1AOC6OiQgSQBL6Mxo4XDWAwF3hEZjNVcrId6VAbWsIu88FWa5IOde2+YEuh5w1esPYbkjAWJysint32ZP3t+GNHOGXE1cM1KID0b+PYD4M8TgH1bUy0VQbQ6ZCBJgLXBYTDENtsNEKliYzvgFCWaZ2Qqo04H+0RgxmaWjFVsUTnZDnbuSjuJnbRZm27GqtgYewxJargJxLx/zPckhwfJzsgmOgD9zwWuWweccApQ/y3wVCnwyd9TLRVBtCpkIElAdsWQ/hr76is+T0r0NeZr6sOAdnkmrKEh1jBgVE654UrWPkgiYUA7g4Y1JMY+DkUgDChp2LG+sSl5kDoJuadGjaRTSoDQMeAfM4G19wCRcKolI4hWgQwkCfA2+uOb98U4ZJWxUioqp/marENbo9cw9kFi9FJE5WQ1aHh7NbGux9OCgTGBXlbXdJ69ccu9J91uF9RbjGUUDNFByOgO/PxvwDk3R39/5/fAX38GHK9LqVgE0RqQgSQB1sTi2CR2iXkuzEna+iaM5gdcLM+F5RDmTajm0NviYFcURTPyWOfFsQ/Ulad3E2POWRqjoanJyJCDxOzdE7gnWYYJEx0Itwf40X3AZU8A3nTgi9ejnbcP7ky1ZASRVMhAkoDsiqHoNawNDlkTgfUhNvMDTn0/H0OllOwwIMAWGuKqtGPtMcTj3eM1aCTNYtNClV4OY4a54aa83CuigzLsp8CM/wBZJwIH/ws8cR7w39WploogkgYZSBJgLsnnSLJlbezIGnZRewxF5bTwIIXYPDP695QlI8Bm0HD1amIsyeepEGP3zjAm0GvhsGiPIdP1tN5PHMYMs/Eqz+giOjAn/gCY9SZQWAwE6oAXrgTW3guEQ6mWjCCkQwaSBFjDYXzjLPhCQyy9lVg8FTxeCtYeQ6yjS/QyWhk0fDPJWAfqqp4zHuNVjueMtccQz6ga/hl08ryaRAenWx4w/d/A6NnR399ZBPxlMnCkxvJlBNHeIANJAsw9hhjzZgD2cncR7wxLFRtLnguzjJrecnKv9AYZs3fGzphJwt6w5l6x9hjiS6BnHYfCoTfHwGOig+P1Axc+AlyxDPB1Bb5+G/i/ccCut1MtGUFIgwwkCah/fdv1GOKbGM/Xv4cp7OKNhXJs15MpozYx3l5GH8PBrnpFPG4XQysC3io2eT2GWENirD2GYgnV7A03pYZ9GceXEJ2IIZcDs9cDvQYDDTXAs5dEx5RQKwCiA0AGkgRYewzxJCszD1lVwy5MoSH7A04sDMgoI8cMOiuDhs/QZA1VCoQBGYfL2vZBYuwxFJNRnjEjdE9SFRuhR+2XNPzngBIB3ngAWP5j4PtvUi0ZQTiCDCQJ6A8XaT2GGMN2XIm7DEYXj5eCxZiJrik3NBTrzM2eiyO13J23x5BNaJG1xxCPt5A3L47rniQPEhGPLxOY/Cfg0j9FQ2673wOWjgW2roi61gmiHUIGkgT0uTVWB1woGQd7hONgZ0iyDTEe6ob1WMOAkjxnIR6dWQ1NnlAlg+csHFG0c4HJ2GQIBfIYcaxVbDxl/qz3JNFJcbmAEVOB699prnKrB1bOBv7+C+Do4VRLRxDckIEkAf3MsiBLiI2lQowxRMIVGmqWU52/lVDGCH/IhX0sCLtBY/058o9sse8HpIYq2Q0FFhmjMrAbNKpHMKGMEY691mRkHbHCbhiSB4mwJKc/cO1rwIS7AJcH+PSfwJLRwLZ/kDeJaFeQgSQBl8vF5FXgCpEw90HiSNxlaOwYS6iW2FGayztjnwAt0ngybNdjiHFkC8A2DsVoIHF4Z5iStOXlXvHozTr+hiDg8QI/vA2YuQbIHQg0Hoh6kl6YAtTuSbV0BMEEGUiSYCmBDmneGTnhMIDzgGMw4ngG6jLPYuMaZ2FfQh/iyJvRhzOtDvZYqFKOMaP/jJmMLobEb9mhSkB/T8rrnE4QGn1GAte/DYyfB7jTomNK/nQWsPFPQLgp1dIRhCVkIEmCrcFhEivEWEJDDH2QeDors8vIEwa095yJeJD0ciSUUahCzL7hpstlDMGarsliYPM0BeXMveJpPUE5SAQXXj8wfm4sNynYALw+D3j8bOCLtamWjiBMIQNJEmwVYuweABZjJhJRtL5LPF4Ktkq7VIUB2avYeLxmdnJyeWcYmk9qRpzbbdurSS8ni4HNttfyu7tTHyTCEb0GATMqgB8vBjJPiM5ze/5y4Pmf0uBbok1CBpIkWEqgeZKVmYwZ3WFq12snKiN7J20WLwX7QF2BZoSWIzfUsSDsxgwgP6/JUkYOnfXvy9KCgWmvmZP8OfRmbD5JEKa43cCoGcCNW4AxZYDbGw27LRkNvHwTUPdtqiUkCA0ykCTB0kQvKOCdYTnUAc7RIBaHcJDLO5MELwWD3sEQu9fM0GNIUvNJL1MiOfteA/qEd5b+Tzy9msx1VhSFq2UCa+I3QdiS0R0ofRD41fvAqaWAEga2PAM89gOgYh7QcCDVEhIEGUiyYOkJpBoSPKEhq7CQ/r14RoOwJBezGXF8XgquQ5jBg8RsfDC0I4jtDYtXiqWKjT2XyyCjJL3ZQpW8BjZbSJUgmMk9FZj6t2jo7aRzgHAAeP9PwKPDgTV3Aw37Uy0h0YkhA0kSLP12eEJDPgZjRv9esiqlYgnVDDPJGGa7Rd9PpG+RnDCg/jpLg4ZxsKxBRssQG3voKioju0HDVWHIsNcAY28uxuaTBMHNSWOAa18Frv4n0LsIaGoE3l0MLB4KvPobGltCpAQykCThZTg8YqEhOV2L9WEhtkRghvAVVxiQtcdQLGGZXUaWUCWrd8Z+b0SSldk+R04PEuN+267HcD82hfQGNk9eE3mQiCTgcgGnnB8dfnvVX4ETRwKh48AHTwCPjQBWXg/s/zzVUhKdCDKQJME2IoN/JplVVRNPWAjQewDsPR9sMrL1GOLRm8VLwas3S7UdXxiQpSSffaxMVEYeveXIaEjy58q9IgOJSCIuFzDowugA3GkvAwPGR3OUtv4V+FNxtOrtq7eoKzeRdMhAkgRL1RBXhRhDXxyesFBURhZDgb1nkf59zQ52RVGSFhryMYSF9HKyeePk9BjiacCov45JRklVbHqDi8UDSSE2olVxuYABPwSm/QuY9QYw6McAXNGqt2cviQ7D/eh5IBRItaREB4UMJEmkMVQN8YRdmJoRchzq0etYQkMcYUCGLtX6z4Ov+aRVqJJ9dAnA2mOIp0Fm8sKA1k082b1SLPdjUxLCgASRFE4cCVz1PHBjJXDmLCAtE6jZBvzrV8DvhwBvPQw0Hky1lEQHgwwkSbD9xc4zk4wj5MJ6wKmhJlljPPQeJBO9DSM3uLwz9iNbWPVm8cbx7A2Xd4a5zN/eoOHRm6WlA4/BZVyTPEhEijjhZOCihcCtnwIl9wDdCoDG/cCbDwK/PyPaS4nylAhJkIEkCZb8jNhYEDmjJ3g9SEytCCLsYUCXy6WN0TA72MXzXFjGgsjTu4kjJMZkzHCMLom+L0cfJK5mlhHTBHotDMgQsgPYvFJthZ/85Cfo0aMHrrjiihbP9evXD8OGDUNRUREmTJiQAukIx2TmAGNvBW75GLjsSaBgRDShe8sz0Tyl5y4HvnyD8pQIR5CBJIk0hp5APKEh9YALWh6YYnkuljLyhl2a9VZ1ayGj7nGm0BBDaDEo6Dmz/ix5yvwZ9prDIwXEDMOgpUHMEQZsfl9FgTaOpoWM2v3IFwa0+hzbCjfffDOeffZZ0+ffe+89VFVV4c0332xFqQjpeNKAYVcCs96M9lJS85R2rgX+8hPg8XOAj56jPCVCCDKQJME2IoPdoEnj8KQwJ2m77Y2PEKdXyq6DuPq4x+2Cm6MDNEuokj/3Sk7fIiZvIcdYEEDffFKO3sYhvTYeJO5E8rZvII0fPx7dunVLtRhEa+FyRXspXfU8cNMWoPh6IK0LsP9T4F9zKE+JEIIMJEnwjJ/g6WMTUaJDaRMh6qVgaT7JXhlnfbCLeinkhhbt9eZKoGfwFvKMBdG/r3WSP3tek/6zMZOT537UX+e0zH/Dhg24+OKLMXDgQADAK6+80uKaJUuWoF+/fkhPT0dxcTE2b97s6D31uFwu/PCHP8SZZ56J559/Xtq6RBshZwAw6XdA+WfAj+4Dsk5smad0YEeqpSTaAUk1kA4fPoypU6ciKysL3bt3x8yZM9HQ0GB5/Y033oiBAwciIyMDffv2xU033YS6ujrDdS6Xq8XPiy++mExVbGEZP8E1xkN/wJkc7CFOY4ZtRAan0WXTY0jYS8FgxDEbXZI9Zyxz95o4E8nZxqGwG116Pcz2m39enH2SPwuNjY0YPnw4Fi5cmPD5FStWoLy8HHfffTe2bNmC4cOHo7S0FPv3x8ZOFBUVYciQIS1+9u7da/v+77zzDiorK/Hyyy/joYcewscff+xIH6KNktEdOOdm4OatwOVPGfOUlowGnrsC+PJNylMiTPEmc/GpU6di3759WLNmDZqamjBjxgzMnj0bL7zwQsLr9+7di71792LhwoUYPHgwvvnmG1x//fXYu3cv/v73vxuuffrppzFx4kTt9+7duydTFVtis7Tk5rkA0QPOn2CnQhExTwpLw0Tm0JBNtV1SwoCcetsZXeGIAvXM50qAlhkGZDGwOZKqPW4XXK7od7+9gS2vTQQLkyZNwqRJk1BfX5/w+UWLFmHWrFmYMWMGAGDp0qV49dVXsWzZMsydOxcAUFVVJfz+J554IgCgd+/euPDCC7FlyxYMGzYs4bWBQACBQCx/xUxmog3jSQOGXgEMuRzY/T6w8Y/A568CO9dEf3qdAZxdBgy9MnotQTSTNA/S9u3bUVFRgSeffBLFxcUYO3Ys/vCHP+DFF180/StvyJAh+Mc//oGLL74YJ598Ms477zw8+OCD+Pe//41QKGS4tnv37sjPz9d+0tPTk6UKE/KbEdp7AHiTlVlaB4iGhswMGp7RJVEZGTxIIbEwoJmMekOHrdt3MioM7Q1s3nClnZy8ITYWA/vDrw9j7Wc1qK47zrRmPMFgEJWVlSgpKdEec7vdKCkpwcaNG4XW1NPY2IgjR44AABoaGvDGG2/gjDPOML1+wYIFyM7O1n4KCwsdy0CkiPg8pdG/jOUprboB+MMPgA+XUUI3oZE0A2njxo3o3r07Ro0apT1WUlICt9uNTZs2Ma9TV1eHrKwseL1GF8qcOXOQm5uL0aNHY9myZZazwAKBAOrr6w0/smFLquYZFRG7xtwDIOhJsezOzde/x05vzUvBeqhzjMjgl5GhmSVLpZ2XxdDkCwPyjKrhb+tgZiCJhSqt9P792v/iumc/xKZdh5jWjOfgwYMIh8PIy8szPJ6Xl4fq6mrmdUpKSnDllVfitddeQ58+fTTjqqamBmPHjsXw4cNx1llnYdq0aTjzzDNN15k3bx7q6uq0nz179gjpRbQxcgYAFz4MlDf3U+rSE6jdDbxyK/BoEfD+40DwaKqlJFJM0kJs1dXV6NWrl/HNvF7k5OQwf9EdPHgQ999/P2bPnm14/L777sN5552HzMxMrF69Gr/61a/Q0NCAm266KeE6CxYswL333iumCCMs+RlNHAecy+WC1+1CKKKYH+ycIRK+0BCnl8K0Uop9PAa7jIKhIRtDU3+tpYy6vCtFURKO6RAOVUrU224kinCo0sp4DfHJmCzWrl2b8PEBAwZg69atzOv4/X74/X5ZYhFtjYwe0X5Ko38JbHkWePdR4MheoGIusGFhNPQ2ejbg65JqSYkUwP0tNnfu3IRJ0vqfzz933sm0vr4eF110EQYPHox77rnH8Nxvf/tbnHPOORgxYgTuuOMO3H777XjkkUdM12qNvwLZGv3JNWhiVWxyjBn9e0mTMcTrSbGv5uIODdkkkuv7+ng4vXtmPYa4Q5UMBjZvjyo7g0b2XgM67x6j3vHk5ubC4/GgpqbG8HhNTQ3y8/OF1iQIW3yZwFnXAzdXAT9eDHQ/CTh6EFh7D/DYCOCDp4BwU4qFJFobbgPp17/+NbZv3275M2DAAOTn5xuqTgAgFArh8OHDtl90R44cwcSJE9GtWzesXLkSaWnWiXPFxcX49ttvDcmUevx+P7Kysgw/srHLc4lEFO0w5R6RYeadScIBxxMGjK5pF77ilJEpv4d9XlxURmvjVV8NyDK0VR/as+sgzlwhxuNB4p1BZ1rmL9Zw07qDuDMPks/nw8iRI7Fu3TrtsUgkgnXr1mHMmDFCaxIEM14/MGoGcOMWYPLSqKHUUAO8Wg4sKQa2/ZOq3joR3CG2nj17omfPnrbXjRkzBrW1taisrMTIkSMBAG+88QYikQiKi4tNX1dfX4/S0lL4/X68/PLLTMnXVVVV6NGjR0pd4bHDw+QwMozckHNo8vcssjc+VC8Fd4NDM72T4aWQHAbkllFnPDaFI0hP87RckzPUxJXkzzCqJiqnXL1ljUNpaGjAzp07tZYf33zzDaqqqpCTk4O+ffuivLwc06dPx6hRozB69GgsXrwYjY2NWlUbQSQdjxco+lm08q3y6WiTycNfAn+fEc1P+vEiIH9oqqUkkkzSEgVOP/10TJw4EbNmzcLmzZvx7rvvoqysDFdddRUKCgoAAN999x0GDRqkNYGrr6/HBRdcgMbGRjz11FOor69HdXU1qqurEQ6HAQD//ve/8eSTT2Lbtm3YuXMnHn/8cTz00EO48cYbk6UKE3YHnP5xWVVD3MnKDEm24l4Km0Rg3rCQZUdyuUaXaEI1wOI5kxNiUxQlNqyWcW/sDBrePlosVWxNDGHADz/8ECNGjMC4ceMAAHfeeSdGjBiB+fPnAwCmTJmChQsXYv78+SgqKkJVVRUqKipaJG4TRNLx+oDiX0ZDb+PnAb6uwLebgf/7IVBxJxA4kmoJiSSS1D5Izz//PMrKynD++efD7Xbj8ssvx2OPPaY939TUhB07duDo0Wi1wJYtW7QKt1NOOcWw1q5du9CvXz+kpaVhyZIluPXWW6EoCk455RStb0oqsTs8jAaSHIOGP0mboQ9ShM9LYVeWL5xYnIQZdHbGjI/Ra8bSY4hfRhtjRmc4sQ/ptTGwRXs1MXViN19z/PjxUBQF9fX1yM7O1ipV9ZSVlaGsrIxJLoJIOv5uwPi5wA+mARXzgM9WAe8vAba/DFz+JND3rFRLSCSBpBpIOTk5pk0hgehUbX15vvrFacXEiRMNDSLbCnYl0PpEYN78HvsDjnecBUuvHV6DRo6MTJVSggN1TY2ZEJ9nBoh62ILhCEOXarl7zbWmbfiTN5eLoRUB534TRLsiqwD46TPRYbivlAO13wBPT4p6l8b9BuD4DiHaPrSbkkjTDjjrkmqvmy0RGOAJDbF6AJplDDF0a5Y0IoN7dAlXmT+njCZ6x0KV7Ie6nZyxsSByPGd6w4k3XGkrI6eBHbTy7nGGAQmiXXJKCXD9O8CwKYASic55+8dMoEmsQSrRNqFvMUnY5eKIVPfYdUIO8Sbteqw9KSJy2uZecc5i0ycWm3kThZOLbcKArKGrqJw2njNOQ9M+VKlL8peVH8Y7J4+jg7iP8Z4kiHZLehZw2Z+BS5cAbi/w6T+B5y4Hgo2ployQBBlIkogdHjY9i0S8FHYVYtxJu+aJwLxyxnoM2VWx8fVBAuyrr2QN1OUNh0XltKlaVEOV3Ink1snuHrcLbsmjRtjDgOxJ/uRBIjoNI64Grv4n4M8CvnkHeHEqjSvpINC3mCRih4c8D5Jdzgf3xHgbIy7MOXJD/97mxgzf6BJDjyFbrxTnwS4pDGhcU5KMNnsTk5HDiLMZiSI6qsYqyV/kDwGCaPcM+CFw9T+is92+ehP4Vxn1S+oAkIEkCbt8D15PCgD4bMu0BQ8407EgOgOJsaLL57E+2LlHlzDNoOMzNjUZ7YxXRp31722/34wyem0M7IhIGNDOc8YbBmRpZhnhlpMgOgSFo6ODcF0e4JO/AZuWploiwiH0LSYJu/CVkJfCpjeO7ANOrNKOsYqNM5E8Kqf1aBDe0JCtMcPjnbExumLhq1SGAeV6zrw2BnY4okB9ilVvguhQnDwBKH0w+u/X/x/w7YcJL3t5615UbNvXioIRItC3mCTsjBnekAsgPzRkOxZEoFeTbQdxzkaRbrcLqp0iy3MmO1QJ2FedxRpuSg4DiniQbMO+rDlNbDJG5aQQG9FJKb4+2oFbCQMrfwkEjxqe/r4xiJv++hGuf26L1laFaJuQgSQJ2wMuxHeo66+1HTbKGBqy7QfUvJ7bxTa0NSojm+dMJPfK3nMmaRyKwN7YGl2C4U+7XC6uEBuj0cVraEaU6GzBeESaWRJEh8PlAi76X6BbAXBoZ3TgrY6GQEj7d4TylNo09C0mCVtjRvNSCJSS2+XicI7IsK9qEjBmJCUrA+yeClkNN3lHl0SvZWzCyNvM0sZrJlRpJ+me9Nrkh4UEQrQE0SHJ6AFc+sfovzf/H/DlG6mVhxCCDCRJ2BszavKq/AOOe/itSY8hkX5AsofVRuVkM7pYR4OwGjNc4U+bPkja+BJJ41B4vWYGGSXdk3b5YWpumIvDA0kQHZZTzgfOvC7671W/Ao4ebnEJOZDaNmQgSYI15MLnnbFJLg7xeRUMB1yCEIlIIjDriAweva0MmkhE0doRMHuQmBOgZYbYxLwzdoYmj2dG9j2pvy8SrakfdMzaLZ4gOjQ/uh844VTgyD7glVvJIgLa1WdABpIk7CuG+A716LU25emCU+2jciYykPib/NnlufCGAfXvn1BGnQHBbXxIlNHeKyXacDMJYUBJ96T+ukReKREDmyA6NL7MaLdttzc64LbKfDZph0RRgO+/BrauiM6ue3ws8PqdqZaKmaQOq+1MqAdcUNLEeCB2wDWZVDrwhl30B1cwHEEGPIll5MoXsusHxN9jyGrml95oYg9f2Y3cEAgDqvttsje84co0O2+hUBhQ7j3pcrngdbsQiigJ5RQJAxJEh+fEHwA/nAu8+QDwyi3wX5qnPaWg/XhTmGjYD+z9KPbz3Ragcb/xGrcn8WvbIGQgScJn07U4NjGePwfJvJrLQYgt4QEnHg6zlZFDb59FaEiklNy2qaO6NyIVhrL2JgkhWq2Ttp3eHB7DNI8boUg4cYhNMzTJg0QQBsaVA9Vbge3/Ru7LV+Mi9yy8Gjkr1VKJE24CDn8F7N8OHPgcqP4kahDVf9fyWnca0Hs4UFgM9C0G+oxufXkFIQNJEvYJ1SLGh12X6ljOBwtud8wDkDgHib8fkOoZMpVRKDRkvqZhqj1v9Z5tqJLDiLMzPjh7VMWM4QgURWmRw8Pbswiw7yAeuyf5QovHmhIbmyIGF0F0Ctwe4LIngRVT4d65Fkt8j+GK8Ftw7/IBp57XNr0qkQjQUBMNkdV+E/3vwf8C+z+P/jfSlOBFLiD3NKBgRPNPUdQ4SstoXdklQQaSJFTDJ1FYCIiFybgqxFg7QHM2nwxFlIShIW0SO1cVm3XuTDAkUH1lEWLT68yaCGz3OQbD/EacXfiKt2+RKqOiRDtSxxstzmS0vn/47knz/dZClV7yIBFEC9LSgZ+tQP1/7kHGB3/CBM9W4K9XAOndgX5jo8ZEz9OBngOBrALA1yU5coSCQKAeOFYbDX8dqY6Gxhpqoj9HqoG6b6NGUei4hT5dorL2Oh3oNThqEPUeBvi7JUfuFEAGkiTsDuGQQLdmu+Ggol6p402RhHKGhDxIdnqL9+9JpLfItHhtPZt8ITEZ5eitN3yawgq8cX9QCumt7k0r6a013CQPEkEkxuNF/Tl34tJ3+2GGpwLXdN0M1/Fa4PNXoj960rOjzSYzugO+roC/a/S/3nTA5W7+cUX/qyhAOACEAkA4qPvvcSDQAByvi/4E6oGmo4kkS4zLA2T3AXqcBPToB+ScHDWIeg4CsguBDv7/OhlIklD/Clc9APF9YEQqxGwPYclhF5F5cUmVMdEh7MTgMh25wX+wW4XYFEXhDlcaDKSIeQK91BCbyH5bGMQifwQQRGdkl9Ib80MzcPnNz6HLoW3AN+8CNZ8B+z8DDn0JNDXGjJpk4esGdO0JdM2L/XRr/m9WAdCjf9Q48qQlT4Y2DhlIkvAaPAAReOJiylo4gyP8wDxkVSR8lTDEJjDOwi7E5kRGixCbzFBlUKD6yirEJjJyQ2/4JPL4BEXGobjNP0dAt98c96RVSFXkfiSIzoYhNcDtBfqMiv6oKErU01O/DziyFzheDwQbop6g4JFoiAwKoER0P0rUs+T1AR6/8d/+bkB6VtQj5df910PHvx30CUlCf8AFwxGkp8V5AAT+WvfZhdgEvDNWHh+RcJjPLsTmyCtlEWIT0dk01OQkDGjdioA1/GksoTc3ukQS6G31luQx5G2OSRBEAlyuqBGTng30GpRqaTo19E0mCbsxDLxjQaLXshkfPGtah9hEZLRrcCjgpbCsYhOvijMNsUX4PWdWJfT6JorSjFcHCdXmVWwC+20VYhMYp0MQBNFWIQNJEmoJPWCTwCriAbDrhCxiLFhUsck61IFYaIjLc2ZxCDsz4iIJZ9AFBTxIVt49/WfLk9dkZRAHBTxnPpu9cbbfFp9jB0/cJAiic0DfZBKxyu8RCpHYzRBTE3e55nNZdakWCbnIr96zzO8RaDwZX0JvuqakEnpVZ7crajizy2kVWuTfG6v7MbqmgIFt0TldJPxJEATRViEDSSLW+RkCoSELT0o4omgz/2SFxETGgrDm94j12kkUvhL3IEXXNM9r4hqxYlFCL5qsbJ0fpoYq5VUYCnmQLKvY+PeaIDozHWzQSIeDvskkwlJCLxoaMlsPEAu7WOb3SB2Hwu+lsCqhFwpVxpXQxyMSGpKdywVYGx+xUKX8Mn9ZBrZIGJAgOhv0f0f7gQwkiViG2Dgnp0evtS+pBuSV0Is1s2RrRSCid+ISepHmmNYl9CKhIasSepGqOMA6pCqit9X9GI4oUO0msXvSSm/6WiEIov1D32QSsfL4iPQDYklW5l3T0gMg0GvHLsQW6/8kx3MW61nEfqirJfTRNc2NTb4qNnO9RfZaf73VnDOuMCCjB5InpGp1T8ZClfS1QhBE+4e+ySRiFdIQ6SjNkrTrcqFF126WNROFr5wMljXvUs3vObMqoRdpbWCQ0yKvSWiQsNVec+gMWIfYHA07TiSj7jG+SjuWKjYKIhAE0f4hA0kiVt4UsdAQQ7IyZ0k1iweAr0LMuoS+ScDosiqhF5Ex+v72/XtkldCL7HVURrl6+6zuR8EcNpYGmRRiIwiiI0DfZBKxyu8RGWdhdaiLJCsD1vk9WmiIKxxmXUIvkrBsVULvPHwlJ8Rmld8TDPF7CwHrEnqRUGXsfjTfa0CsZYJV9R41iiQINhL9UUm0HchAkghLSEwoxCbJI2WU0dwDIFLFFl3TqLeiKJrRxDciw/wQTkaIzannrMV6Al4zwCbEJnnYsT7ka5gN5WBNkTAgQXQ2OP53I1JMUr/JDh8+jKlTpyIrKwvdu3fHzJkz0dDQYPma8ePHw+VyGX6uv/56wzW7d+/GRRddhMzMTPTq1Qu33XYbQqFQMlVhwqqEPuTkgLP0zPD932ZVQu8kDBiV07imIZFcUgm96MR42fk9LPlm3DJaGdgic/Ik348GGSXqTRCdFfIftW2SOqx26tSp2LdvH9asWYOmpibMmDEDs2fPxgsvvGD5ulmzZuG+++7Tfs/MzNT+HQ6HcdFFFyE/Px/vvfce9u3bh2nTpiEtLQ0PPfRQ0nRhwTrEJlLNZeVREGvKZxliUyulBGQEWnp89HJzhYYsSuiDgnpbTqFv1tsvEr6yqGIT3Rur/RaR0SqhmmdfDGtahNj85EEiCFNc1Amp3ZA0A2n79u2oqKjABx98gFGjRgEA/vCHP+DCCy/EwoULUVBQYPrazMxM5OfnJ3xu9erV+Oyzz7B27Vrk5eWhqKgI999/P+644w7cc8898Pl8SdGHBZY8F1khNm09zgNOdrdvqyn0xl5NcqbQq8ZMqvWWvR5g09ZBy2vilzHYnECvD6UJy5gEvQmiM6GQ36jdkLRvso0bN6J79+6acQQAJSUlcLvd2LRpk+Vrn3/+eeTm5mLIkCGYN28ejh49alh36NChyMvL0x4rLS1FfX09Pv3004TrBQIB1NfXG36SAcsUeqGRGwnCGUGBAxOwLqEXTbI1MxZUL4VwKwKLjuTcHiSrLtUOjFdLGYWNOIsEeoEwINAygd7xXlvdk5x6EwRBtEWS9k1WXV2NXr16GR7zer3IyclBdXW16et+/vOf47nnnsObb76JefPm4S9/+Quuvvpqw7p64wiA9rvZugsWLEB2drb2U1hYKKqWJdYhMf7Dw6tbL77aQXjeF0N3bt41vSZ66yvY+BKB7UOLotV7svS2rOYSNF5ZQmw8eutzgcy8e7zGDEuIrS14kH7yk5+gR48euOKKK1o89/vf/x5nnHEGBg8ejJtuuokqiYhWhUJs7Qfub7K5c+e2SKKO//n888+FBZo9ezZKS0sxdOhQTJ06Fc8++yxWrlyJL7/8UnjNefPmoa6uTvvZs2eP8FpWxEIacrpUqx6ARCX06nqiHoBE+T0BARn1csYfwjEZxTwpifJ7nMuYqCxfvNt3or0OCBpxPovqPZHPUv8Zxe93Uj/HNpCkffPNN+PZZ59t8fiBAwfwxz/+EZWVlfjkk09QWVmJ999/PwUSEgTR1uHOQfr1r3+Na6+91vKaAQMGID8/H/v37zc8HgqFcPjwYdP8okQUFxcDAHbu3ImTTz4Z+fn52Lx5s+GampoaADBd1+/3w+/3M7+nKFYhNidhHCAayvF6Ys8Je5AYQmyy8ntEvT0s4StZJfT6mWQi+T2hBMNvmwSND+uqRfEeVUDL/RYeqMsiYxvwII0fPx7r169P+FwoFMLx48cBAE1NTS083QTRWpDzsm3D/U3Ws2dPDBo0yPLH5/NhzJgxqK2tRWVlpfbaN954A5FIRDN6WKiqqgIA9O7dGwAwZswYfPLJJwbja82aNcjKysLgwYN51ZGK9ew0/iokKw+AaBWSVZdq9TFZ+T0inhmjjHIaJgLm+T2ilXZWXaqdy2geouXZG5fLpQtXxuktuDdWhQOs9+SGDRtw8cUXY+DAgQCAV155pcU1S5YsQb9+/ZCeno7i4uIWfxSJ0rNnT/zmN79B3759UVBQgJKSEpx88slS1iYIFqgPUvshaX/qnX766Zg4cSJmzZqFzZs3491330VZWRmuuuoqrYLtu+++w6BBg7Qvvy+//BL3338/Kisr8fXXX+Pll1/GtGnTcO6552LYsGEAgAsuuACDBw/GNddcg61bt+L111/HXXfdhTlz5rSKl8gKqxJ6Ea+CdQm9aJ6LeQl97GCXM4XeaU5TohCbqBFnlt+j/xxE8ntkdeY2rClxAK6Z3qJJ2mb5ZvrH7GRsbGzE8OHDsXDhwoTPr1ixAuXl5bj77ruxZcsWDB8+HKWlpYY/ioqKijBkyJAWP3v37rV87++//x6vvPIKvv76a3z33Xd47733sGHDBsvXEATROUlqH6Tnn38eZWVlOP/88+F2u3H55Zfjscce055vamrCjh07tCo1n8+HtWvXYvHixWhsbERhYSEuv/xy3HXXXdprPB4PXnnlFdxwww0YM2YMunTpgunTpxv6JqUKFg+A7BJ6/lCThQfAaWjIJIwjmoMkq+IMMPfu6T8HkaGtiUroRcbKAKyeM/4ZdMeazD2QsvLN9I/ZrTlp0iRMmjTJtJp00aJFmDVrFmbMmAEAWLp0KV599VUsW7YMc+fOBRDzLPOydu1anHLKKcjJyQEAXHTRRXj//fdx7rnnJrw+EAggEAhovyerApbopFCIrU2TVAMpJyfHsilkv379DBUkhYWFeOutt2zXPemkk/Daa69JkVEmZvk9iqI4miEWioTNPQDcB2br5fcIr2clo2rESQuxxcaMuAUGwQLRPCZjxVgScpBEk6q9al5cYr1ljmwRvSf1BINBVFZWYt68edpjbrcbJSUl2Lhxo/C6KoWFhXjvvfdw/PhxpKWlYf369Zg9e7bp9QsWLMC9997r+H0Jgmh/pD6bsgNhFmrSH/TCYReT/B7+A46hFYFwGCeuik1LLOb3egByS8ntQk2iYcDoGonze3j1ti6hl9s6QHZLB0D8ntRz8OBBhMPhhK08rNqDxFNSUoIrr7wSr732Gvr06aMZV2eddRYuvPBCjBgxAsOGDcPJJ5+MSy65xHSd1qqAJQii7ZFUD1Jnw6yEXp9LIyupWnjkhkUJvfoYTyK5UUaTJG1RGS0aJnLLaFJCH3CYrKzKlAGP4XeAf+SG2eeo90Byy+lNnHPmfK8txpe0gSq2tWvXmj734IMP4sEHH2Rap7UqYInOCXXVbtuk/pusA2EWYhMduRG93sQD4HDkRvsIsSUqoZdbni4uo1UJvdwQm2Hor+hnaZrDJud+NKzpoJN2bm4uPB6P1rpDpaamhqs9CEG0VaiIrf1ABpJE7Lw9vCM3AHvjg/evdctGf44PTZNxFqJeConVXHa9mniruaxK6EVHbpiV0BtaEUjab/HP0X5enBMPks/nw8iRI7Fu3TrtsUgkgnXr1mHMmDHC6xIEQfBCITaJmJXQi47cAFhK6MXyXBKX0EvO7xEducFQQi+qt5nxIeL18LrdaAqbJ9DLG9ki7oHU9luSB9JrWcXGpndDQwN27tyJhoYGAMA333yDqqoq5OTkoG/fvigvL8f06dMxatQojB49WqtqVavaCKKjQI0i2zZkIEnErIS+STAXBzD3fMj2pEQfa/YAiOb3mMooPg7FbAq9NE+KoBEXfU3iEnpRr1RSPJA2XqlUeCA//PBDTJgwQfv9zjvvxJ133onp06dj+fLlmDJlCg4cOID58+ejuroaRUVFqKioaJG4TRAEkUzIQJKIWX6PqNcDaL0S+nBE0ea9iRtdcvJ7rEvoHYavJOUgAVYl9MnpJyXkgZR8T8buR3EP0vjx46EoCurr65GdnY26ujpkZWUZrikrK0NZWRmXbATRHtD/r0gOpLYN5SBJJM0kfCVaKQXounOH4j0fotVXiWUUHbmRDBn1BpFZ9ZVouwRZMgLmeovut1k4TKs4E/RySZVR0znc4jnRyjiC6ExQ5Vr7gb7JJOLzREu9zUIuTrwUZg0OuUMk3sReCtGRG1ZrCodxdAesmisTL6esLtWi4TC9nLL22+5zFMmT8nnkyug3uR9Fh/4SRGcjQQEx0UahbzKJmHtnxKt7Ygec8S92p/k9AZM8KYBv5EZURhPvjMN5cQAQiNNbtFuzZsy0kFHceLXbb1EjzszLJRSiNVnTaRjQzOACnJX5E0RHJ6KzkBTK0m7T0DeZRGw9AE48SHGeFNGRG+aeFLGRGwYZJentcrnMPWeiIzcY8nt48Xk9Jms6M+Jk5XIZ15RjtKvr6XPWAGceSILoTJBN1H4gA0kitl4KgRlV6gEWkBwikeVRAGJ6m3mlRPT2m3o+BL0zZjJK0Nvc4yPHg+TIA2nrORMz4qJyxdZ04oEkiM5EhCykdgN9k0nEb5aT4mBGldkB59QDEFGMHaBFD8yoDNa5V7IOdidDf80/RzFvD6Az4iTnIMk04kwNYoceyHg5nXggCaIzoTeQKB+pbUMGkkQ0Q6EVPQD8PYti1+sP9pih4GnxGnEZ5eptGPoreLDLqoozkxFw0k8qcYWY6F4D9kna/HPydBWGoUT3D32lEIQVeqMoTBZSm4a+zSSiDQZtYShEDzyRw8MsyVY0jGMYsqpbM2YoiCQCW5fQiyTtxpKBY8aCYegv97y41kvSFjW67Iw4mUnaokaXy+VKKGfAgZeUIDoT+sTsRA1XibYDfZtJxDSHxEG35ljYLnE1F/foCbcLaq/BRB4AEWOmtfKanIzcMM1pEhy5YZBRcoitdfLDnCSnt5TTiYwE0ZkI6wykREPDibYDfZtJxKwvjqP8HpvKJl4vhZkHwMnIDfs+SOLJ6Xq9nYzckN2rKbpm4pCqcAK0J3F+mJPwlf09KddAEtlrguhMRHT/K4bIg9SmIQNJIvrDKJEbVegwsqvmcnJoSvIAyG6YaC6j+MgNe++MuBEny+Njmh8m2dtjlFGO3k48kATRmYgYzgbyILVl6NtMIv7mJG1FMbpOZXgA4kMkTpKLE1XbOZKxWe8WMgomK+tfYziEHYzcsPOkOJHRrMcQ78gNsw7iQSdeLrsO4pK8UqoHUkRGguhMBHRFGKEIeZDaMvRtJhGDByCB50NupZRcr5SUkRtmpeSScq9kjNxIdgm9k6G/+vywgCS9zfPD5N6TlINEEGwkao9BtE3o20wiZiXQTip8zEY7xDwfApVNCQ44ZzKaVe9J0DuhjBKruWToncATB/AbNC6XK6GcSalik3xPOqlYJIjOhN5Aohyktg19m0nE63FDzR1uSnBoOhs1Is87kyhJ29nIDbswjoM8l7CcXC6/TThMlifF6ciNRNV2UhpuUpI2QbQJzHq7EW0PMpAkk7A8XcbIDakzxOSGSMw6iDvxUlglaTsxFJLRQTzRXgNiIzcS5vdI2Guz0KKjDuIJDEMKsRGENQGTP6iItgd9m0kmsXdGggdA0sgNszWdeXvMOognR0Yn6wHxFWIO8posjDjRkRvS9Tbt/ySjalGfJyVuxBFEZyLQFPv/5lgwbHElkWro20wyiXrjOKpCsjiE9c9zrWmRQ9IWxqGYranJ6EDnFmtKDl85kdGwpiy928HeEERn4qjOKGo4HkqhJIQd9G0mmURVQ4Gm5vL0NAfVV4axDrH/wXhLyYHEB5zq9vVLnMWm6e3IiIvpquotsp4+Pyzx3ojr3RRquTciMgKJjVcnaybKDwtHFF0rAgG9E+SHOdWbIDoL9ceatH8fCZCB1JahbzPJJKpscmJ8WFWcRdeUE3ZR3b4iRpyqc/zIDdlGl7aegIxROVvm4zgyPiTvtV5G2QZ2Ii9XVE6B/ZZsYBNEZ6JObyAdb7K4kkg1ZCBJJrFXwbknpckkjMPbUdogo/5gDzuQUbeevoN4UIreei+Fs0M4kd5BCXrLNOKsKuNkGZpODaREBnbQod4E0VnQG0gUYmvb0LeZZBINMNW8FCIeAMu/1p0dwoFEXgqBQzhRB3FFUaToHZCod6JqOyd6J0pOdxxis5RR1v0TldHjdsErKeeMQmwEwUatzkCqJw9Sm4a+zSSTMHylJUALGB9JOIwS57k4T9rVyxmKKFBbfPgF9E54CDeHAYUToK32xskYGEmfI2C9344S8hPej04NTV1+WBMlaRMECzX1x7V/7z8SSKEkhB30bSYZ2R4fa4+Cs1CTLKMrkYFkyJOSlDsjy3MmW++E+UKie2Nh0DiRUZZHU78m5SARBD97a49p/66uO25xJZFqkmogHT58GFOnTkVWVha6d++OmTNnoqGhwfT6r7/+Gi6XK+HPSy+9pF2X6PkXX3wxmaowk6jM30kCtOwDMyqj3DU9bhc8bmPCsr7Xh7PWAfoqtmQYhtF/pzvaGzmVdgYZJSV+63VW88OOOwjZAWb3JIXYCMKO401hHGwIar/vIwOpTeNN5uJTp07Fvn37sGbNGjQ1NWHGjBmYPXs2XnjhhYTXFxYWYt++fYbH/vznP+ORRx7BpEmTDI8//fTTmDhxovZ79+7dpcsvQqLKpqCDAy5xxVASQk0Oyt2BaCVbOKK08CD5PG6xholJOITTErVMcJKD1NxUM3EiuTMZE+rtwIgDomHPNI9LXqWdRL0JojOw62AjAMDliuZs1h1rwtFgCJm+pB7FhCBJ25Xt27ejoqICH3zwAUaNGgUA+MMf/oALL7wQCxcuREFBQYvXeDwe5OfnGx5buXIlfvrTn6Jr166Gx7t3797i2rZAwgoxCdVcweYKMZfLpasYahvVXKqcx5si2jpOKtiMMiaoinMYGtJXGDqqYkuQpO3EGNbLmNjAdh7+TPO4pe1N4io2CrERhBmf7a0HAIzul4Od+xtwqDGIL/c3Ymif7BRLRiQiaX/ubdy4Ed27d9eMIwAoKSmB2+3Gpk2bmNaorKxEVVUVZs6c2eK5OXPmIDc3F6NHj8ayZcsM5eXxBAIB1NfXG36ShWVIzEE1FxAzFhyH2BLl96hhQOGD3WgsJKPc3XGILU7vUDiCcMRBw0SrcFgb0TtRB3FpOUgS88MIojOwbW8dAGBwQRZOy+sGAPi8OnnnEeGMpHmQqqur0atXL+Obeb3IyclBdXU10xpPPfUUTj/9dJx99tmGx++77z6cd955yMzMxOrVq/GrX/0KDQ0NuOmmmxKus2DBAtx7771iinCSuDxd3PjQHzjBcAQ+r1tanktSSujjD2GHxkzicJgc48NxInkyKwwTJn7zr6l2EI8ouvwwablc8nKvCKIzsPHLQwCAEX17QFGAjV8dwo7qIymWijCD+9ts7ty5ponU6s/nn3/uWLBjx47hhRdeSOg9+u1vf4tzzjkHI0aMwB133IHbb78djzzyiOla8+bNQ11dnfazZ88ex/KZYeUBEMkZSkvkAZBsKDiV0bBm3CEscyaZ09yrlkZcbG1ZM+iclrsnpa2Did7CZf6SjTiC6AzU1B/H59VH4HIBY0/JxRkFWQCAj/bUplYwwhRuD9Kvf/1rXHvttZbXDBgwAPn5+di/f7/h8VAohMOHDzPlDv3973/H0aNHMW3aNNtri4uLcf/99yMQCMDv97d43u/3J3w8GaTFhXEURXGU86FWiCVKgJY6zsJxArTLsKbTAzMtYYWYrORio5crzeMSSiTXj5VR88NkyxiV0/max5si2jpOqioBIM0rf8QKQXR0/lX1HQCgqLA7crr4cNaAEwAAW/fUojEQQhc/JWq3Nbh3pGfPnujZs6ftdWPGjEFtbS0qKysxcuRIAMAbb7yBSCSC4uJi29c/9dRTuOSSS5jeq6qqCj169Gg1I8gKv0kuTvQ5ca/C0WA4QfjKoZciUfhKMMm2pd4OZUyTn+fSwoPksGeR/nXBcAR+r0fe3kgcX+L3enAEoQQGtvh6LWWkEBtBmBGOKHhxczRyceXIQgBAYU4mTuyege9qj2Hz14cxYWAvqyWIFJC0b7PTTz8dEydOxKxZs7B582a8++67KCsrw1VXXaVVsH333XcYNGgQNm/ebHjtzp07sWHDBlx33XUt1v33v/+NJ598Etu2bcPOnTvx+OOP46GHHsKNN96YLFW4UA+I481/pRsNJNGDuHnN5kPIyfDS6Os8Bhn1cjo92OP1dqxzk5x+UnpZWsroTGe9nI71TjN+jsZEcod7E0ri3tAsNoIw5eWt3+Grg43ISvfi4uG9tcfPPS3qAKj4hC0vl2hdkvpt9vzzz2PQoEE4//zzceGFF2Ls2LH485//rD3f1NSEHTt24OjRo4bXLVu2DH369MEFF1zQYs20tDQsWbIEY8aMQVFREf7v//4PixYtwt13351MVZjJ8KmHsLHc3eWKhWS414wzaJwMLzWupy/TduYB0PRuXsdpSX68zoAEvU32xonhoc4KVo03eXo3yxh2bmDH9I6TUXSvE+0NhdgIIiG1R4NY8Fo0L/eXPzwZ3dLTtOdUY+k/2/YZPLJE2yCpQc+cnBzTppAA0K9fv4Tl+Q899BAeeuihhK+ZOHGioUFkWyO9xV/rMcPD5RIzkNLjDk2nno/0OC+FYU2HIbaYjM4MLlXngMGD5NCgSYv3cqkeKTGdXS4X0r0eHGsKS9sbzbsX5y0ExBO/1f0OxO+NUw9kwvww8iARhEooHMFvXtqK/UcCGNCzC35xTn/D88X9T0Cvbn7sPxLAf7btw6VFJ6ZIUiIR9G0mGc2YCRrDGaIVQ0DsQDqmHuwOh7amx3kAFEVxLKd6CB+L19uhjEFdiMlpFVu6N+5zlLA3mt6S9yb+c/Tqxrlwr2mqt5hhGNvrluHPtjKsds+ePRg/fjwGDx6MYcOGGUYVAcBPfvIT9OjRA1dccUWKJCQ6Ok3hCG7/x8dYu30/fF43Fk8p0ry5Kh63C1OLTwIALHtnl2U/P6L1aRvfZh2I+FCT0+RnAMho4fmQFSJJEMZxGhqK19thGDAqpyS9fSZeLgd5M/HhJqf5PbHPUY4nDmgZYnOaw5aheffkVRjKxuv1YvHixfjss8+wevVq3HLLLWhsbNSev/nmm/Hss8+mUEKiI7Ov7himL9uMf275Dm4X8NhVIzCsT/eE1159Vl/4vG5s/bYO7+481LqCEpaQgSQZ2aEmoKXHx+lhpIXY4pJ2ncjZMgwop5oruqYkvc2S3aXujdPQohoOi9PZgYGdrPCn+jmGwhGEHCaSy6Z3794oKioCAOTn5yM3NxeHDx/Wnh8/fjy6deuWIumIjsqxYBhPvv0VLli0Ae99eQhdfB48OX0UJg4xb21zQlc/phb3BQA8+Np2zWNOpJ628W3WgTALNSXlEHZYzaXJqM9zcRhik+XtcbtdWrgmPnwlqrdZ+NOJ18PfwuPjND/MxNvj6P6RW2GoytgUVhAKR4Q8kBs2bMCUKVMAANnZ2Vi1alWLa5YsWYJ+/fohPT0dxcXFLapdWamsrEQ4HEZhYaHQ6wnCjl0HG7Hw9R0Y9/AbeODV7TgSCGFE3+74V9k5OG9Qnu3rbzrvVHRL92L7vnr8dfPuVpCYYIE6U0mmRahJwiEcHxJzemiqIZdAKNKcf+Q8kdw01OQotOhBMBSRlgDdIvwpI3wVbxA7DKlmxOebSZExcQ6S0xAtEDUM9cN/WQ3sxsZGDBkyBBUVFQmfX7FiBcrLy7F06VIUFxdj8eLFKC0txY4dO7QRRkVFRQiFQi1eu3r1aq2VyOHDhzFt2jQ88cQTzPoRhB1Hjjdh6546vL3zAN7+70F8tq9ee65PjwyUTTgFV44qZM4b7NHFh1tLTsN9r3yGBa9txw9P64nCnMxkiU8wQgaSZOKrr5yWfetfK6vMP113wAVCEcdl31EZ5ZaSA1HPR92x6JqKojjWOz7UJGNvtP0Oxe+NU09cfCsCcUMzPS5nKOjYA2kMf6ohAa/bBS+jgTRp0iScc845WLhwYcLnFy1ahFmzZmHGjBkAgKVLl+LVV1/FsmXLMHfuXADRBrFWBAIBTJ48GXPnzm0xz5GVQCCAQCCg/Z7MQddE2yISUVBz5Di+/f4Y9hw+ij2Hj+G/NUfw6d46fH3I2JrG7Yr2NLr8B30wcUi+YUQUK9PP7oeKbdXY/PVhlP+tCi/MOktoHUIeZCBJJt3EA+CsUiq+is1hhZjudceCYV3FmfND+FhcnosMvY83hdEUVqAWeDgtd29RaSdJxuiaTufFJfbEOakOi+WcGT1xonqr4c+ody+MSLMDSVYFWzAYRGVlJebNm6d7TzdKSkqwceNGpjUURcG1116L8847D9dcc42wLK056JrgQ1EUhCMKQupPcy5cKKwgFIk0/zf672PBMI4FwzgaDONoUxjHgqHov5sfrzvWhMONQRxuDOL7o7H/NoXN84FO7J6BswacgHGn5mLsqbnI7epskoPH7cLCK4fjwsfexgdff4/7X/kM9106xNGahDPIQJJMi1CTlCo2uUm2Xo8baR4XmsIKjofCUvKkzPWWsWZE0xmQUL2XhPBnixCbhPBnJKLIDbFJCgOqa6oGkmq4ykrQPnjwIMLhMPLyjLkbeXl5zIOw3333XaxYsQLDhg3T8pv+8pe/YOjQoQCAkpISbN26FY2NjejTpw9eeukljBkzpsU68+bNQ3l5ufZ7fX09CgsLce7v3oAnvQu3bk7Tb52WgTt/f6evF19AQdSroxpErZHM7HG7UNA9HYU9MlHYIxP9e3bBGQVZOKMgGzldfNLfr+8JmVg8pQjXPfshnt34DU7N64ZrzjpJ+vsQbJCBJBl9Qqy+v1BbSrIFor1xmsKhqPHhMPk5WTLqw3YyK+20hokS9PabeGdkhT9ljPCID3/KqaxUw5/OO30ng7FjxyISiZg+v3btWqZ1zAZdHz7aBHc4KCwfkTzUnmFpHnfzf11IT/MgI82DTJ8HGT4PMn3e6H+bH8vOSEOPLj7kNP/0yPThhK4+9OzqZw4by6JkcB7Kf3QaFq35L+b/axuy0r3UQDJFkIEkGfUwiijRfBQ1LJbu4K/19LiwS2xNZ4fmkUAo6npW15MQYpMpY7quik31fsjoSH6shYxtR+/0uPweVW8pe9NsbKlhUFl6K9pjcg6S3NxceDwe1NTUGB6vqalBfr55uXRrsmrO2ejaLUvotWJ3r+71ThdwKIHT93fyck9znptmBLnd8Hhc0fy35sdEvx/aEjeedwr2HzmO597fjV//bSvS0zwoPaNt3PudCTKQJGNscBjB0UC0yqaLz0E4I67RX2Mg+t9Mn/j2ZfhiPYGONh/CXfzywoCNzXo7kzGmd0xGB+vFGTONQfVzlBBiawpHS96bjZAugnrrw5/HmsIxGSXorRpbR4MS7kmd3mqow8le6/H5fBg5ciTWrVuHyZMnAwAikQjWrVuHsrIyKe/hlFN6dUNWFvVRIpKDy+XCfZcMQcPxEFZV7cWvnt+C310+DFeM7JNq0ToVlCIvmTSPC27dANOjTc6NGX+c8XFMPeAcGDR6r9TRoAwZjSE21ZMiRcZQRDvUnRgz8eFP1WAQNWb0awaaItpeA0CmpL05JsGY0WQMqQaS3HvymICB3dDQgI8//lj7fdeuXaiqqsLu3dEeMOXl5XjiiSfwzDPPYPv27bjhhhvQ2NioVbURREfH3Zy0fcXIPghHFPzmpa14YsNXNI6kFSEPkmRcrmi8+2hz6ErzIDk6MGOhpkhEkWJ06UMkR2UYXHHhKxkeJM2gCeo8SBIOdTX8qckoy9Bs9ux53S7Hs/eOBKL5YY0SjJn4MKDMe1KfH8Yj44cffogJEyZov6uJ0NOnT8fy5csxZcoUHDhwAPPnz0d1dTWKiopQUVHRInGbIDoyXo8bD18+DNkZaXjqnV148LXt+PJAA+67dEibmXvYkSEDKQlkNBtIsg44fajpeChWNSQrJCYlZBfn5ZJh0Oj1lmHMtAh/ypZR5+VykgdhCH9KMGb0e6Mocgxsvd4i3sLx48ejrq4O2dnZqKurQ1ZWy3yesrKyNhNSI4hU4Xa7cNdFpyM/Kx0P/Wc7XvxgD7480IDHrx7puLUAYQ2ZoElA7005JiHPJVE4TP+4CH5dT6BjUsJXcV6KZjnjp1dzyaibQn+syfnnqA9/6j1njmRMuNfO/u7Q9lvnOXMmY8wDGTWS0Cyn3HsyI43+3iKIZOByuTDr3AFYNv1MdPN78cHX3+PHj72D97+i4bbJhAykJKDPx2mUanxEtDBOps8DN2Mbe8s1Q2FJYRxjDpLMsJ0sL5ca/lTllOFBioWa5ITsAOPeSJExraWXCzB61PjXjOktw8tFEIQ9Ewb1wso552BAzy6orj+Onz/xPn6/5r804DZJkIGUBPTVUqpB46j6ShdyiRlczv5a14ddZFY1hSIKjgZDWgdaKWG7UFiKjIY1myKxz9JJ+CpRpZ3EvZFhYGckwcA2hhbleM4IgrDnlF5d8e+ysbhiZB9EFODRdV/gZ0+8jz2Hj9q/mOCCDKQkkOgvdimhpmBYSjVXVEadlyvgPIyj76lzuDHWQE9K1VlQL6PD8JUuJKY3FoTX88rda8AY/jwqwXOW6H50ev/ow5+y7kmCINjo4vdi4ZXDsXhKEbr4PNi86zBKF2/AX97/BhHyJkmDDKQkoA8/yCklT1SSLymMI6nHkL4rs2og+TxuR8MWDaGmJjkeJH34U274Sp/0LTHE1iSh0i6Bzo7zpBLoTQYSQbQuk0eciNduHofR/XJwNBjGb1dtw9QnN5E3SRJkICUB9fBpDIak/MWu5nYcDcaquZwYMwYZA3I8AC6XS3v9gSPR6edOc3HU9RoDOk+KQ71VY6jheEhK4reqY2MwpOXiOJexeb91ejsx4tS9DkUU1B4NNj/mbG80GYMhzbvn9J4kCIKfk07oghdnn4V7Lh6MjDQPNn51CKWLN+D/3voSTWHzcTuEPWQgJYGs9DQAQP2xkJQcJHW9UETBoUY5B1xWRlSe+uNNWg6J09wZVc7q+uNy1sto/hyPN2mGplPvjKp3zZHj2mMy9qb+mP5zdCpjS72d7Hc3v1cbD6HtjUNjRi8jhdgIIrW43S5ce05/VNwyDsX9o96kBf/5HBc++jY2fkmVbqKQgZQE1EO47liTrueMAy+FzwNPc0Jtdd1xx+sBxoNdRpk/ENNbldFpLo5RRjlhHM2Ia5bR5XI2tFXV+UggJKU5pl7G+mNNUsJXbrcLXf3GvZFmYB8LSQvbEQThjJNO6IK/zjoLD18xDDldfPhifwN+9sT7uOXFj7C//rj9AoQBMpCSgHrAHWwI6OZUOQtfZaVHD599dUnwzkgKX6l6x2SU5eUKSauUaimj11FTR3U9RQH2q6FFSXrX6Qwkxx6fOL2lGdg6D5LT/SYIwjlutws/HVWIN379Q1x9Vl+4XMCqqr0Yv3A9Hl37hfb/K2EPGUhJQDU+1L/WAQkHe9yaTvN7VIMr6gGQFb6Kk1GmJ0VSr514L5eMZHe15b+6pixj5mBDUIqBDbTcG2kG9jF5BjZBEPLonunDA5OH4l9zzkFRYXccDYbx+7X/xfhH1uPFzbupdxIDZCAlgZi35xiAaAjH46DnTHRN1QMQXVOWwaXPQXIeEjPqLetQD4Qi+L45udhpmX/Lz9G51yN+TScNGIGY3up6gAxj07g30sKfx0OUg0QQbZhhfbpj5a/Oxh9+NgKFORnYfySAuf/8BJMe3YA1n9XQ8FsLyEBKAtnNB1xNfTTkIqO6J35Np4eRut73jUEEm4eNOvUqtJDRod6G5GJJYbvsTLleLgDIjvNKOfVyZcd5e2QY2PFrOr0n1fXqdMnpZCARRNvE5XLh4uEFWFv+Q9x10enIzkjDf2saMOvZD3HxH98hQ8kEMpCSgOoBaAjI+8taDQ2pa8qqOFMPN0BC2C5Ob6fGjNvtQje/2jJBbg6SVnEmYTyGqnfyZHRuxLWUUU6oMhxRpBnYBEEkF7/Xg+vGDcCG2ybghvEnI9Pnwbbv6jHr2Q/x4z+8g9WfVpOhpIMMpCSgHnAq3TPTTK4UXzPb4Zrd0o2HWUaaBz4HTR0B+TICsYNdxelnqR7sKtkZPkfrAfL3O17G7hny7x+na2akeeDVebXcrpb3FEEQbZPszDTcMXEQ3rnjPM1Q+nRvPWb/pRKlizfgbx/s0eZqdmbIQEoC8Qdcfla6hDWNB5rTNdPTPIby9vzsdEfVXECS9NYd7C4X0LObX9p6AJCf7Ww9QP7exMuYJ+X+idubbGdrulwug965Xf3wOjSwCYJoXXK6+DRD6VfjT0YXnwf/rWnA7f/4GGN/9wYeXfsFDjUEUi1myqBvtCQQf2BKOeDS5R5wgFHOvCwJhkK88SH5YM/t6nc0uiS6XhJkjNubPId7E++JkbLXyTC6dHLKkJEgiNSQ08WH2ycOwnvzzsedFw5CQXY6DjYE8fu1/8WY/3kDN/71I7y782Cnm/NGPvEk0NUXTS5WQ7lyPABxB1w3OQecOhYkGTL2kuxBSoYRJ0VGnd4ZaR4tb0oUr8eNLj6Pli/US4beyTDadWv2knA/EgSRWrIz0jD73JMx45z++M+2ajz19lfY+m0d/r11L/69dS8KczJw5chCTC46EX1PyEy1uEknaR6kBx98EGeffTYyMzPRvXt3ptcoioL58+ejd+/eyMjIQElJCb744gvDNYcPH8bUqVORlZWF7t27Y+bMmWhoaEiCBuK43S7DQSzDS5GtO4zS09wtQiZO15QtIyDHq5B0GSWvKSNU2WJNyTLKCFXGrykjVEkQRNsgzePGJcMLsGrOOfh32VhcfVZfdPN7sefwMSxa81+c+8ib+PEf3saf1u/E1wcbUy1u0kiagRQMBnHllVfihhtuYH7Nww8/jMceewxLly7Fpk2b0KVLF5SWluL48VjDxalTp+LTTz/FmjVr8Morr2DDhg2YPXt2MlRwhP5QcxpyAYx/8ffqJucQ1hswMjwK8Z6OXhIOYdkypqe5pYeGDHstwdsDGO8ZGQaSfo3sjDTHoUrAuB8yZCQIom3hcrkwtE82Hpg8FJv/Xwn+98rhOPvkE+B2Adu+q8fDFTswfuF6/PCRNzHvnx/j5a17tahERyBpIbZ7770XALB8+XKm6xVFweLFi3HXXXfh0ksvBQA8++yzyMvLw6pVq3DVVVdh+/btqKiowAcffIBRo0YBAP7whz/gwgsvxMKFC1FQUJAUXUQYP7AndtQcASDn0PxB3x7av/UNBJ0w/rReeO2TagCSDKRu6XC7ADVMLeMQHj+wJ/7wxk4AwAldnFecuVwujDn5BLz+aQ0AOaHKcafmav+W1Z12/Gm98NHuWgBywoBnFGRp/6492uR4PQCYMLAX/l75LQA5MhIE0XbJ8Hlw+cg+uHxkHxxsCGD1pzX4z7Z9eO/LQ/jm0FF8c+go/rp5DwDgxO4ZOL13NwzKz0KfHhnoleVHblc//F4PsjK86J2dkWJt2GgzOUi7du1CdXU1SkpKtMeys7NRXFyMjRs34qqrrsLGjRvRvXt3zTgCgJKSErjdbmzatAk/+clPEq4dCAQQCMSs2vr6+uQp0sx5g3rh/zZ8BUDOX9c+rxs+jxvBcMRxp2aV80/vpf27h4SSfAAYP7AX3vh8v5S1AKCoMGYYQoLXDADOGhAzkGSEKk/oGjOAZXj2AOBHg/Pw+7X/BSDHwHa7Xeidna7NYpPBDwf21P7dlcaMEESnIberHz8v7oufF/fFkeNN+ODrw3h35yG89+UhbN9Xj+9qj+G72mNYu73lWTDu1Fz8ZWZxCqTmp818q1VXN3sy8vIMj+fl5WnPVVdXo1evXobnvV4vcnJytGsSsWDBAs2j1Vqc2S8HlxYVICPN0yLvRZSVc87GHf/4GHdMHCRlvRO6+vGr8Sfjs331GNUvR8qa/3PZUNzw/BZcObKPlPU8bhcWXDYUKz7Yg2ljTpKy5lVn9sWG/x7AGQXZ0gya52YW46HXtuOei8+Qst7pvbvhp6P6IBiK4MTucv7a+svMYty6ogo3nX+qlPW6+r349Y9Ow/u7DmHCwF72LyAIosPRLT0N5w3Kw3mDomd33dEmbK+ux+f76rGjpgHVdcew/0gAh5unNnTPdB4JaC1cCkfbzLlz5+J3v/ud5TXbt2/HoEGxA3z58uW45ZZbUFtba/m69957D+eccw727t2L3r17a4//9Kc/hcvlwooVK/DQQw/hmWeewY4dOwyv7dWrF+69917TfKdEHqTCwkLU1dUhKysr4WsIgkgu9fX1yM7Oblf/H7ZHmQmiI9Ga/w9yeZB+/etf49prr7W8ZsCAAUKC5OfnAwBqamoMBlJNTQ2Kioq0a/bvN7rsQqEQDh8+rL0+EX6/H34/VdkQBEEQBMEGl4HUs2dP9OzZ0/5CAfr374/8/HysW7dOM4jq6+uxadMmzTM0ZswY1NbWorKyEiNHjgQAvPHGG4hEIigubh8xTYIgCIIg2j5JK/PfvXs3qqqqsHv3boTDYVRVVaGqqsrQs2jQoEFYuXIlgGhy6y233IIHHngAL7/8Mj755BNMmzYNBQUFmDx5MgDg9NNPx8SJEzFr1ixs3rwZ7777LsrKynDVVVe1qQo2giAIgiDaN0lL0p4/fz6eeeYZ7fcRI0YAAN58802MHz8eALBjxw7U1dVp19x+++1obGzE7NmzUVtbi7Fjx6KiogLp6bEqsOeffx5lZWU4//zz4Xa7cfnll+Oxxx5LlhoEQRAEQXRCuJK0OwqUaEkQqac9/n/YHmUmiI5Ea/4/SMNqCYIgCIIg4iADiSAIgiAIIg4ykAiCIAiCIOIgA4kgCIIgCCIOMpAIgiAIgiDiIAOJIAiCIAgiDjKQCIIgCIIg4iADiSAIgiAIIg4ykAiCIAiCIOJI2qiRtozaPLy+vj7FkhBE50X9/689NfOn7w6CSC2t+b3RKQ2kI0eOAAAKCwtTLAlBEEeOHEF2dnaqxWDi0KFDAOi7gyBSzaFDh5L+vdEpDaSCggLs2bMH3bp1g8vlMr2uvr4ehYWF2LNnD81dcgh9lnLoSJ+joig4cuQICgoKUi0KMzk5OQCA3bt3O/pyPvPMM/HBBx84uibR8/GPWf2e6N+y7i8W/eyuY9Ev/jE7fdetW9eu9Yv/vb3pl+hx3nu0rq4Offv21f5fTCad0kByu93o06cP8/VZWVnt/jBqK9BnKYeO8jm2F8+RitsdTdvMzs529Pl7PB7b19tdk+j5+Mesfjf7N+D8/mLRz+46Fv3iH2PVt73qF/97e9Mv0eOi96j6/2IyoSRtgiCIVmbOnDmOr0n0fPxjVr+b/VsGrOtZXceiX/xjrPo6JVX6xf/e3vRL9Hiq7lEWXEp7ypBsZerr65GdnY26uroO8dd6KqHPUg70OaaWjv75k37tm46uH9C6OpIHyQK/34+7774bfr8/1aK0e+izlAN9jqmlo3/+pF/7pqPrB7SujuRBIgiCIAiCiIM8SARBEARBEHGQgUQQBEEQBBEHGUgEQRAEQRBxkIFkwZIlS9CvXz+kp6ejuLgYmzdvTrVIKWXDhg24+OKLUVBQAJfLhVWrVhmeVxQF8+fPR+/evZGRkYGSkhJ88cUXhmsOHz6MqVOnIisrC927d8fMmTPR0NBguObjjz/GuHHjkJ6ejsLCQjz88MPJVq3VWLBgAc4880x069YNvXr1wuTJk7Fjxw7DNcePH8ecOXNwwgknoGvXrrj88stRU1NjuGb37t246KKLkJmZiV69euG2225DKBQyXLN+/Xr84Ac/gN/vxymnnILly5cnWz2CIIgOAxlIJqxYsQLl5eW4++67sWXLFgwfPhylpaXYv39/qkVLGY2NjRg+fDiWLFmS8PmHH34Yjz32GJYuXYpNmzahS5cuKC0txfHjx7Vrpk6dik8//RRr1qzBK6+8gg0bNmD27Nna8/X19bjgggtw0kknobKyEo888gjuuece/PnPf066fq3BW2+9hTlz5uD999/HmjVr0NTUhAsuuACNjY3aNbfeeiv+/e9/46WXXsJbb72FvXv34rLLLtOeD4fDuOiiixAMBvHee+/hmWeewfLlyzF//nztml27duGiiy7ChAkTUFVVhVtuuQXXXXcdXn/99VbVtzPTr18/DBs2DEVFRZgwYUKqxUkKR48exUknnYTf/OY3qRZFKrW1tRg1ahSKioowZMgQPPHEE6kWSTp79uzB+PHjMXjwYAwbNgwvvfRSqkWSzk9+8hP06NEDV1xxhdgCCpGQ0aNHK3PmzNF+D4fDSkFBgbJgwYIUStV2AKCsXLlS+z0SiSj5+fnKI488oj1WW1ur+P1+5a9//auiKIry2WefKQCUDz74QLvmP//5j+JyuZTvvvtOURRF+dOf/qT06NFDCQQC2jV33HGHMnDgwCRrlBr279+vAFDeeustRVGin1laWpry0ksvadds375dAaBs3LhRURRFee211xS3261UV1dr1zz++ONKVlaW9rndfvvtyhlnnGF4rylTpiilpaXJVolo5qSTTlKOHDmSajGSyp133qn89Kc/VX7961+nWhSphEIhpbGxUVEURWloaFD69eunHDx4MMVSyWXv3r3KRx99pCiKouzbt08pKChQGhoaUiuUZN58803l5ZdfVi6//HKh15MHKQHBYBCVlZUoKSnRHnO73SgpKcHGjRtTKFnbZdeuXaiurjZ8ZtnZ2SguLtY+s40bN6J79+4YNWqUdk1JSQncbjc2bdqkXXPuuefC5/Np15SWlmLHjh34/vvvW0mb1qOurg5AbMZXZWUlmpqaDJ/joEGD0LdvX8PnOHToUOTl5WnXlJaWor6+Hp9++ql2jX4N9Rq6fwlZfPHFF/j8888xadKkVIsiHY/Hg8zMTABAIBCAoiitMj2+NenduzeKiooAAPn5+cjNzcXhw4dTK5Rkxo8fj27dugm/ngykBBw8eBDhcNhwAAFAXl4eqqurUyRV20b9XKw+s+rqavTq1cvwvNfrRU5OjuGaRGvo36OjEIlEcMstt+Ccc87BkCFDAER19Pl86N69u+Ha+M/R7jMyu6a+vh7Hjh1LhjrtCrt8OsB5DqLL5cIPf/hDnHnmmXj++eclSc5Ga+j3m9/8BgsWLJAkMR+toV9tbS2GDx+OPn364LbbbkNubq4k6dloDR1VKisrEQ6HUVhY6FBqdlpTP1HIQCKIFDFnzhxs27YNL774YqpF6XTY5dOx5CCq+SnxP3v37gUAvPPOO6isrMTLL7+Mhx56CB9//HGr6AYkX79//etfOO2003Daaae1lkoGWmP/unfvjq1bt2LXrl144YUXWhRKJJvW0BGIFs5Mmzat1fM8W0s/R0gN+HUQAoGA4vF4DDk2iqIo06ZNUy655JLUCNXGQFwO0pdffqkA0GLaKueee65y0003KYqiKE899ZTSvXt3w/NNTU2Kx+NR/vnPfyqKoijXXHONcumllxqueeONNxQAyuHDh6XrkSrmzJmj9OnTR/nqq68Mj69bt04BoHz//feGx/v27assWrRIURRF+e1vf6sMHz7c8PxXX32lAFC2bNmiKIqijBs3Trn55psN1yxbtkzJysqSqkdHIP5eVhT5OYi/+c1vlKefftqBlOIkQ7+5c+cqffr0UU466STlhBNOULKyspR7771XptjMtMb+3XDDDYa8wNYmWToeP35cGTdunPLss8/KElWIZO7hm2++STlIMvH5fBg5ciTWrVunPRaJRLBu3TqMGTMmhZK1Xfr374/8/HzDZ1ZfX49NmzZpn9mYMWNQW1uLyspK7Zo33ngDkUgExcXF2jUbNmxAU1OTds2aNWswcOBA9OjRo5W0SR6KoqCsrAwrV67EG2+8gf79+xueHzlyJNLS0gyf444dO7B7927D5/jJJ58Y/pJas2YNsrKyMHjwYO0a/RrqNXT/2iMjB7GxsRFHjhwBADQ0NOCNN97AGWeckRR5eZGh34IFC7Bnzx58/fXXWLhwIWbNmmWookwlMvSrqanR9q+urg4bNmzAwIEDkyKvCDJ0VBQF1157Lc477zxcc801yRJViLaSB0wGkgnl5eV44okn8Mwzz2D79u244YYb0NjYiBkzZqRatJTR0NCAqqoqVFVVAYgmZldVVWH37t1wuVy45ZZb8MADD+Dll1/GJ598gmnTpqGgoACTJ08GAJx++umYOHEiZs2ahc2bN+Pdd99FWVkZrrrqKhQUFAAAfv7zn8Pn82HmzJn49NNPsWLFCjz66KMoLy9PkdZymTNnDp577jm88MIL6NatG6qrq1FdXa3lBWVnZ2PmzJkoLy/Hm2++icrKSsyYMQNjxozBWWedBQC44IILMHjwYFxzzTXYunUrXn/9ddx1112YM2eONsDx+uuvx1dffYXbb78dn3/+Of70pz/hb3/7G2699daU6d5ekJGDWFNTg7Fjx2L48OE466yzMG3aNJx55pnJEJebjp5jKUO/b775BuPGjcPw4cMxbtw43HjjjRg6dGgyxBVCho7vvvsuVqxYgVWrVqGoqAhFRUX45JNPkiEuN7Lu0ZKSElx55ZV47bXX0KdPH27jyst1dSdiypQpOHDgAObPn4/q6moUFRWhoqKixYZ1Jj788ENDPxfVaJk+fTqWL1+O22+/HY2NjZg9ezZqa2sxduxYVFRUID09XXvN888/j7KyMpx//vlwu924/PLL8dhjj2nPZ2dnY/Xq1ZgzZw5GjhyJ3NxczJ8/39ArqT3z+OOPA4hWV+h5+umnce211wIAfv/732ufTSAQQGlpKf70pz9p13o8Hrzyyiu44YYbMGbMGHTp0gXTp0/Hfffdp13Tv39/vPrqq7j11lvx6KOPok+fPnjyySdRWlqadB0JYMCAAdi6dWuqxWgV1Pu2IzF69GjtD8GOytixYxGJRFItRlJZu3ato9eTgWRBWVkZysrKUi1Gm2H8+PGWpa4ulwv33Xef4aCOJycnBy+88ILl+wwbNgxvv/22sJxtGavPTyU9PR1LliwxTV4EgJNOOgmvvfaa5Trjx4/HRx99xC1jZyc3Nxcej6dFUm5NTQ3y8/NTJJU8SL/2T0fXsa3oRyE2giAIHR09B5H0a/90dB3bin7kQSIIotPR0NCAnTt3ar+r+XQ5OTno27cvysvLMX36dIwaNQqjR4/G4sWL21UOIunXvvUDOr6O7UI/odo3giCIdsybb76pAGjxM336dO2aP/zhD0rfvn0Vn8+njB49Wnn//fdTJzAnpF/71k9ROr6O7UE/l6J0sP7pBEEQBEEQDqEcJIIgCIIgiDjIQCIIgiAIgoiDDCSCIAiCIIg4yEAiCIIgCIKIgwwkgiAIgiCIOMhAIgiCIAiCiIMMJIIgCIIgiDjIQCIIgiAIgoiDDCSCIAiCIIg4yEAiCIIgCIKIgwwkgiAIgiCIOMhAIgiCIAiCiIMMJIIgCIIgiDj+P7bW0jfSqPmGAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create some fake signals first\n", "\n", "A = 1e-22\n", "f0 = 4e-3\n", "phi0 = 0.2\n", "\n", "dt = 10.0\n", "t_arr = np.arange(0.0, YRSID_SI, dt)\n", "df = 1 / (len(t_arr) * dt)\n", "h1 = sine_waveform(A, f0, 0.0, t_arr)\n", "h2 = sine_waveform(A, f0, phi0, t_arr)\n", "\n", "fig, (ax1, ax2) = plt.subplots(1, 2)\n", "ax1.plot(t_arr[:250], h1[:250])\n", "\n", "freqs = np.fft.rfftfreq(len(h1), dt)\n", "ax2.loglog(freqs, np.abs(np.fft.rfft(h1)))\n", "\n", "ax2.loglog(freqs, (get_sensitivity(freqs, sens_fn=\"LISASens\", model=\"sangria\", stochastic_params=(YRSID_SI,)) / (4 * df)) ** (1/2))\n", "\n", "val = inner_product(h1, h2, dt=dt, psd=\"LISASens\", psd_kwargs=dict(model=\"sangria\", stochastic_params=(YRSID_SI,)))\n", "print(f\"Inner product : {val}\")\n", "\n", "complex_val = inner_product(h1, h2, dt=dt, psd=\"LISASens\", psd_kwargs=dict(model=\"sangria\", stochastic_params=(YRSID_SI,)), complex=True)\n", "print(f\"Complex inner product : {complex_val}, phase maximized value: {np.abs(complex_val)}\")\n", "\n", "normalized_val = inner_product(h1, h2, dt=dt, psd=\"LISASens\", psd_kwargs=dict(model=\"sangria\", stochastic_params=(YRSID_SI,)), normalize=True)\n", "print(f\"Normalized inner product : {normalized_val}\")\n", "\n", "ax2.set_xlim(1e-5,)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### SNR" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimal SNR ^(1/2): 44.96261510900951\n", "Detected SNR against data h1 / ^(1/2): 44.06637073762678\n" ] } ], "source": [ "opt_snr = snr(h1, dt=dt, psd=\"LISASens\", psd_kwargs=dict(model=\"sangria\", stochastic_params=(YRSID_SI,)))\n", "print(f\"Optimal SNR ^(1/2): {opt_snr}\")\n", "\n", "det_snr = snr(h1, data=h2, dt=dt, psd=\"LISASens\", psd_kwargs=dict(model=\"sangria\", stochastic_params=(YRSID_SI,)))\n", "print(f\"Detected SNR against data h1 / ^(1/2): {det_snr}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Perturbed Waveform" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Get a waveform with a small perturbation to a parameter." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# set quantities for below calculations\n", "params = np.array([np.log(A), f0 * 1e3, phi0])\n", "eps = 1e-9\n", "index = 1\n", "\n", "parameter_transforms = {\n", " 0: np.exp,\n", " 1: lambda x: x / 1e3\n", "}\n", "\n", "transform_fn = TransformContainer(parameter_transforms=parameter_transforms)\n" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "params = np.array([np.log(A), f0 * 1e3, phi0])\n", "step = 1e-9\n", "index = 1\n", "\n", "parameter_transforms = {\n", " 0: np.exp,\n", " 1: lambda x: x / 1e3\n", "}\n", "\n", "transform_fn = TransformContainer(parameter_transforms=parameter_transforms)\n", "\n", "# will return 2D\n", "dh = h_var_p_eps(\n", " step,\n", " sine_waveform,\n", " params,\n", " index,\n", " waveform_args=(t_arr,),\n", " parameter_transforms=transform_fn\n", ")\n", "\n", "plt.plot(t_arr[:250], h1[:250] / np.abs(h1[:250]).max())\n", "plt.plot(t_arr[:250], dh[0, :250] / np.abs(dh[0, :250]).max())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Derivative of Waveform" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the derivative of a waveform with respect to a parameter." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dhdlam = dh_dlambda(\n", " eps,\n", " sine_waveform,\n", " params,\n", " index,\n", " waveform_args=(t_arr,),\n", " parameter_transforms=transform_fn\n", ")\n", "\n", "# TODO: check this?\n", "plt.plot(t_arr[:250], h1[:250] / np.abs(h1[:250]).max())\n", "plt.plot(t_arr[:250], dhdlam[0, :250] / np.abs(dhdlam[0, :250]).max())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Information Matrix and Covariance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Information matrix and covariance matrices. " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 4.94652789e-04 -1.34368122e-13 1.19037481e-08]\n", " [-1.34368122e-13 1.46157988e-13 -1.45604730e-08]\n", " [ 1.19037481e-08 -1.45604730e-08 1.95551222e-03]]\n" ] } ], "source": [ "params = np.array([np.log(A), f0 * 1e3, phi0])\n", "eps = 1e-9\n", "\n", "info_mat_args = (eps, sine_waveform, params)\n", "info_mat_kwargs = dict(\n", " deriv_inds=None,\n", " inner_product_kwargs={\n", " \"psd\": \"LISASens\",\n", " \"psd_kwargs\": dict(model=\"sangria\", stochastic_params=(YRSID_SI,)),\n", " \"dt\": dt,\n", " },\n", " return_derivs=False,\n", " waveform_args=(t_arr,),\n", " parameter_transforms=transform_fn,\n", ")\n", "im = info_matrix(*info_mat_args, **info_mat_kwargs)\n", "\n", "cov = covariance(\n", " *info_mat_args,\n", " info_mat=None,\n", " diagonalize=False,\n", " return_info_mat=False,\n", " precision=True,\n", " **info_mat_kwargs,\n", ")\n", "print(cov)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualizing your information matrix." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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2pkyZ4j0XFBSkhIQEZWZmltvuzJkzatq0qTwej7p27arnn39e7dq1K7d+SUmJSkpKvMdFRUWX/sPxc0FA2/nE/1R1CPCj3nf+V1WHAD+4WFwi+emrNkyOLpBMXOKzkYkffvhBbrf7ipGF8PBwFRQUlNmmdevWev3117V27Vq9/fbb8ng86tWrl44cOVLufdLS0hQaGuot0dHRlvYDAABcXbXaZyIuLk6jRo1S586d1bdvX61atUoNGzbU4sWLy20zZcoUFRYWekt+fr4fIwYA1GSGJMMwUSp4P7fbraeeekoxMTGqXbu2WrRooRkzZsgwKnql6sVn0xwNGjRQrVq1dPz48VLnjx8/roiIiGu6xvXXX68uXbooLy+v3DpOp1NOp9NUrAAAe/LIIYcfd8CcOXOmFi5cqDfeeEPt2rVTVlaWkpKSFBoaqj/96U+VjqOq+WxkIjg4WN26ddP69eu95zwej9avX6+4uLhruobb7dauXbsUGRnpqzABAPCbL774QkOGDNGgQYPUrFkz3X333erfv/9Vt02oCXw6zZGamqqlS5fqjTfe0N69e/XII4+ouLhYSUlJkqRRo0aVWqA5ffp0ffrpp/r222+Vk5Oj++67T4cOHdLYsWN9GSYAwKasepqjqKioVPnlgwG/1KtXL61fv17ffPONJOlvf/ubtm7dqoEDB/qtz77g0x0w7733Xn3//feaOnWqCgoK1LlzZ61bt867KPPw4cMKCvpXPvPTTz9p3LhxKigo0I033qhu3brpiy++UNu2bX0ZJgDApjyGQw4LttP+9eL/adOm6emnn76i/uTJk1VUVKQ2bdqoVq1acrvdeu655zRy5MhKx1Ad+Hw77ZSUFKWkpJT52aZNm0odz507V3PnzvV1SAAAWCo/P18ul8t7XN5avnfffVfvvPOOli9frnbt2ik3N1fjx49XVFSURo8e7a9wLce7OQAAtnX5qQwz7aVLuzf/Mpkoz2OPPabJkydr+PDhkqQOHTro0KFDSktLI5kAAKAm8veLvs6ePVtqel+SatWqJY/HU+kYqgOSCQAA/GTw4MF67rnn1KRJE7Vr1047d+7UnDlz9MADD1R1aKaQTAAAbMvfIxOvvPKKnnrqKf33f/+3Tpw4oaioKD300EOaOnVqpWOoDkgmAAC2ZdXTHNeqXr16mjdvnubNm1fpe1ZHJBMAANuyagGm3VWrd3MAAICah5EJAIBtXRqZMLNmwsJgajCSCQCAbfl7AWagYpoDAACYwsgEAMC2jJ+LmfYgmQAA2BjTHNZgmgMAAJjCyAQAwL6Y57AEyQQAwL5MTnOIaQ5JJBMAABtjB0xrsGYCAACYwsgEAMC2eJrDGiQTAAD7Mhzm1j2QTEhimgMAAJjEyAQAwLZYgGkNkgkAgH2xz4QlmOYAAACmMDIBALAtnuawBskEAMDeAnyq4sKFCyooKNDZs2fVsGFDhYWFWX4PpjkAAAgwp0+f1sKFC9W3b1+5XC41a9ZMt956qxo2bKimTZtq3Lhx2rFjh2X3I5kAANjW5WkOM6W6mTNnjpo1a6Zly5YpISFBa9asUW5urr755htlZmZq2rRpunjxovr3768BAwZo//79pu/JNAcAwL4C8GmOHTt2aMuWLWrXrl2Zn/fs2VMPPPCAFi1apGXLlun//u//1KpVK1P3JJkAANiY4+dipn318pe//OWa6jmdTj388MOW3JNpDgAAAlxaWpokKScnRyUlJZZfn5EJAIB9BeA0R1ni4+MlSS+88IL27NmjoKAgtWvXTh07dlTHjh3Vo0cPhYeHV/r6JBMAAPuySTIRFxcnSXr33XclSf/85z+1e/du/f3vf1dGRoamTZumO+64QzNmzKjU9ZnmAAAgwM2dO1eStGfPHrndbtWuXVs9evTQmDFj9PLLLys7O1sff/xxpa/PyAQAwL5s8gryzp07S5KeeOIJff3116pdu7batWunDh06qH379rrzzjv15ZdfVvr6JBMAANuyy1tD+/XrJ0lau3atJOnMmTPas2ePdu3apc8++0x33nmnrr/++kpfn2QCAIAA8+yzz6pr167q1q1bmQsr69atq9jYWMXGxlpyP5IJAIB9BegCzKlTp8rhuDQFExER4U0sLv/vzTffbOn9SCYAAPYVoGsmevTooWPHjikpKUkNGjRQTk6OVq1apeeff15ut1sNGzZU165dTS26/CWSCQAAAsy2bduUnp6uJ554Qj169NCcOXPUokULlZSUKDc3Vzk5Odq5c6dl9+PRUACAbTkM86W6uv/++/XNN9+odevW6tq1q6ZMmSK3263Y2Fg98sgjWrJkiWX3IpkAANiXYUGpxurWratZs2YpKytLu3fvVsuWLfXmm29afh+SCQCAfV1eM2GmVNDRo0d133336aabblLt2rXVoUMHZWVl+aBzl1y8eFElJSUaMWKEGjdurKSkJJ08edLSe7BmAgAAP/npp5/Uu3dv9evXT3/961/VsGFD7d+/XzfeeKOl93nhhRe0a9cu7dq1S19//bVCQkLUsWNH9ezZUw899JBCQ0MtvR/JBADAvvz8aOjMmTMVHR2tZcuWec/FxMSYCKBsTzzxhJo1a6bRo0drxIgRuuWWWyy/xy8xzQEAsC+L1kwUFRWVKuW95vuDDz5Q9+7dNWzYMDVq1EhdunTR0qVLLe/Wf/zHf+jHH3/UM888o27duql379764x//qGXLlulvf/ub3G63pfcjmQAAwKTo6GiFhoZ6S1paWpn1vv32Wy1cuFCtWrXSJ598okceeUR/+tOf9MYbb1gaz+bNm1VYWKh9+/Zp6dKl6t27t/bu3auJEyeqS5cuqlu3rnr27GnZ/ZjmAADYl0XTHPn5+XK5XN7TTqezzOoej0fdu3fX888/L0nq0qWLdu/erUWLFmn06NEmAilbq1at1KpVKw0fPtx77uDBg8rKyrJ0nwmSCQCAfVm0A6bL5SqVTJQnMjJSbdu2LXXu1ltv1fvvv1/5GH7l8OHDatKkSbmfx8TEKCYmRsOGDZN06ekSs9trM80BAICf9O7dW/v27St17ptvvlHTpk0tu0ePHj300EMPaceOHeXWKSws1NKlS9W+fXtLEhlGJgAAtmV2F8uKtp0wYYJ69eql559/Xvfcc4+2b9+uJUuWWLob5VdffaXnnntOt99+u0JCQtStWzdFRUUpJCREP/30k7766ivt2bNHXbt21axZs3THHXeYvicjEwAA+/LzDpg9evTQ6tWr9Ze//EXt27fXjBkzNG/ePI0cOdKa/ki66aabNGfOHB07dkzz589Xq1at9MMPP2j//v2SpJEjRyo7O1uZmZmWJBKSj0cmtmzZohdffFHZ2dk6duyYVq9eraFDh161zaZNm5Samqo9e/YoOjpaTz75pO6//35fhgkAgN/ceeeduvPOO31+n9q1a+vuu+/W3Xff7fN7+XRkori4WJ06ddKCBQuuqf7Bgwc1aNAg9evXT7m5uRo/frzGjh2rTz75xJdhAgAAE3w6MjFw4EANHDjwmusvWrRIMTExeumllyRdWuG6detWzZ07V4mJiWW2KSkpKbU5SFFRkbmgAQC24ZDJNROWRVKzVas1E5mZmUpISCh1LjExUZmZmeW2SUtLK7VRSHR0tK/DBAAEiip40VcgqlZPcxQUFCg8PLzUufDwcBUVFemf//ynateufUWbKVOmKDU11XtcVFREQgEAwK/89NNP+vTTT3X06FFJUlRUlBITEy15yVi1GpmoDKfT6d0s5Fo3DQEAQJLfn+aoKq+99pri4uK0bds2eTweeTwebdu2Tb169dJrr71m+vrVamQiIiJCx48fL3Xu+PHjcrlcZY5KAABgip/fGlpVZs2apZycHN1www2lzs+YMUNdu3bVmDFjTF2/Wo1MxMXFaf369aXOZWRkKC4urooiAgCg5nM4HDp9+vQV50+fPi2Hw/y6D5+OTJw5c0Z5eXne44MHDyo3N1dhYWFq0qSJpkyZoqNHj+rNN9+UJD388MOaP3++Jk2apAceeEAbNmzQu+++q48++siXYQIAbMrfO2BWldmzZ6tv375q37699z0cR44c0Z49e7xPUJrh02QiKytL/fr18x5fXig5evRopaen69ixYzp8+LD385iYGH300UeaMGGCXn75ZTVu3FivvvpquY+FAgBgik2mOe68804NHDhQ27dv13fffSfp0gLMnj17qlatWqav79NkIj4+XoZR/p90enp6mW2sfC0qAACQatWqVeaygW3btik2NtbUtavVmgkAAPzKJk9zXM3lV5GbUa2e5gAAwJ/ssmbinnvuKfO8YRg6efKk6euTTAAAEOA+++wzvfXWW6pbt26p84ZhaMuWLaavTzIBALAvs1ti15DttOPj41WvXj316dPnis86duxo+vokEwAA+7LJ0xyrVq0q97OMjAzT1yeZAADYll3WTPgayQQAAAHqly/C/CWHw6GQkBC1bNlSQ4YMUVhYmKn7kEwAAOwrwKc5du7cqZycHLndbrVu3VqS9M0336hWrVpq06aN/ud//kcTJ07U1q1b1bZt20rfh30mAAD2ZfxrqqMypbonE0OGDFFCQoK+++47ZWdnKzs7W0eOHNHtt9+uESNG6OjRo+rTp48mTJhg6j4kEwAABKgXX3xRM2bMkMvl8p4LDQ3V008/rVmzZqlOnTqaOnWqsrOzTd2HZAIAYF8BvgNmYWGhTpw4ccX577//XkVFRZKk+vXr6/z586buQzIBALCvAE8mhgwZogceeECrV6/WkSNHdOTIEa1evVpjxozR0KFDJUnbt2/XLbfcYuo+LMAEACBALV68WBMmTNDw4cN18eJFSdJ1112n0aNHa+7cuZKkNm3a6NVXXzV1H5IJAIBtBfo+E3Xr1tXSpUs1d+5cffvtt5Kk5s2bl9pWu3PnzqbvQzIBAECAq1u3riXbZpeHZAIAgAB26tQpvfbaa9q7d68kqW3bthozZoxCQ0MtuwcLMAEA9hXgCzCzsrLUokULzZ07VydPntTJkyc1d+5ctWjRQjk5OZbdh5EJAIBtBfqaiQkTJuiuu+7S0qVLdd11l/7Kv3jxosaOHavx48db8vpxiWQCAGB31TwhMCMrK6tUIiFdeppj0qRJ6t69u2X3YZoDAIAA5XK5dPjw4SvO5+fnq169epbdh2QCAGBfAb5m4t5779WYMWO0cuVK5efnKz8/XytWrNDYsWM1YsQIy+7DNAcAwLYCfc3E7Nmz5XA4NGrUKF28eFGGYSg4OFiPPPKIXnjhBcvuQzIBAECACg4O1ssvv6y0tDQdOHBAktSiRQvVqVPH0vuQTAAA7MvsVEU1HJlITU295rpz5syx5J4kEwAA2wrEaY6dO3deUz2Hw2HZPUkmAAAIIBs3bvT7PUkmAAD2FYDTHFWBR0MBAPZVxY+GvvDCC3I4HBo/fry5C1UxkgkAAKrAjh07tHjxYp++zdNfSCYAALZ1eQGmmSJJRUVFpUpJSclV73vmzBmNHDlSS5cu1Y033uiHnvoWyQQAwL4smuaIjo5WaGiot6SlpV31tsnJyRo0aJASEhJ80Cn/YwEmAMC+LFqAmZ+fL5fL5T3tdDrLbbJixQrl5ORox44dJm5cvZBMAABgksvlKpVMlCc/P1+PPvqoMjIyFBIS4ofI/INkAgBgW/7etCo7O1snTpxQ165dvefcbre2bNmi+fPnq6SkRLVq1ap8QFWEZAIAYF9+3mfitttu065du0qdS0pKUps2bfT444/XyERCIpkAAMBv6tWrp/bt25c6d8MNN+imm2664nxNQjIBALCtQHw3R1UgmQAA2Fc12E5706ZN5i9SxdhnAgAAmMLIBADAvqrByEQgIJkAANiW4+dipj2Y5gAAACYxMgEAsC+mOSxBMgEAsC0eDbUGyQQAwL4YmbAEayYAAIApjEwAAOyN0QXTSCYAALbFmglrMM0BAABMYWQCAGBfLMC0hE9HJrZs2aLBgwcrKipKDodDa9asuWr9TZs2yeFwXFEKCgp8GSYAwKYuT3OYKfBxMlFcXKxOnTppwYIFFWq3b98+HTt2zFsaNWrkowgBAIBZPp3mGDhwoAYOHFjhdo0aNVL9+vWtDwgAgF9imsMS1XLNROfOnVVSUqL27dvr6aefVu/evcutW1JSopKSEu9xUVGRJKnh4m26znG9z2NF1ep9539VdQjwo7P/L6KqQ4AfuM+f89u9eJrDGtXqaY7IyEgtWrRI77//vt5//31FR0crPj5eOTk55bZJS0tTaGiot0RHR/sxYgAAUK1GJlq3bq3WrVt7j3v16qUDBw5o7ty5euutt8psM2XKFKWmpnqPi4qKSCgAANeGaQ5LVKtkoiw9e/bU1q1by/3c6XTK6XT6MSIAQMAgmbBEtU8mcnNzFRkZWdVhAAACEGsmrOHTZOLMmTPKy8vzHh88eFC5ubkKCwtTkyZNNGXKFB09elRvvvmmJGnevHmKiYlRu3btdO7cOb366qvasGGDPv30U1+GCQAATPBpMpGVlaV+/fp5jy+vbRg9erTS09N17NgxHT582Pv5+fPnNXHiRB09elR16tRRx44d9dlnn5W6BgAAlmGawxI+TSbi4+NlGOX/Saenp5c6njRpkiZNmuTLkAAA8HIYhhxX+XvqWtqjmj0aCgAAap5qvwATAACfYZrDEiQTAADb4mkOazDNAQAATGFkAgBgX0xzWIJkAgBgW0xzWINpDgAAYAojEwAA+2KawxIkEwAA22KawxokEwAA+2JkwhKsmQAAAKYwMgEAsDWmKswjmQAA2JdhXCpm2oNpDgAA/CUtLU09evRQvXr11KhRIw0dOlT79u2r6rBMI5kAANjW5ac5zJSK2Lx5s5KTk/Xll18qIyNDFy5cUP/+/VVcXOybDvoJ0xwAAPuy6GmOoqKiUqedTqecTucV1detW1fqOD09XY0aNVJ2drb69OljIpCqxcgEAAAmRUdHKzQ01FvS0tKuqV1hYaEkKSwszJfh+RwjEwAA23J4LhUz7SUpPz9fLpfLe76sUYlf83g8Gj9+vHr37q327dtXPohqgGQCAGBfFk1zuFyuUsnEtUhOTtbu3bu1detWEwFUDyQTAAD4WUpKij788ENt2bJFjRs3rupwTCOZAADYlr/fzWEYhv74xz9q9erV2rRpk2JiYip/82qEZAIAYF9+3rQqOTlZy5cv19q1a1WvXj0VFBRIkkJDQ1W7du3Kx1HFeJoDAGBb/t5nYuHChSosLFR8fLwiIyO9ZeXKlb7poJ8wMgEAgJ8YAbr9NskEAMC+eAW5JUgmAAC25e8FmIGKNRMAAMAURiYAAPbFK8gtQTIBALAtpjmswTQHAAAwhZEJAIB98TSHJUgmAAC2xTSHNZjmAAAApjAyAQCwL49xqZhpD5IJAICNsWbCEiQTAADbcsjkmgnLIqnZWDMBAABMYWQCAGBf7IBpCZIJAIBt8WioNZjmAAAApjAyAQCwL57msATJBADAthyGIYeJdQ9m2gYSpjkAAIApjEwAAOzL83Mx0x4kEwAA+2KawxpMcwAAAFMYmQAA2BdPc1iCZAIAYF/sgGkJkgkAgG2xA6Y1WDMBAABMYWQCAGBfTHNYwqcjE2lpaerRo4fq1aunRo0aaejQodq3b99vtnvvvffUpk0bhYSEqEOHDvr44499GSYAwKYcHvMFPk4mNm/erOTkZH355ZfKyMjQhQsX1L9/fxUXF5fb5osvvtCIESM0ZswY7dy5U0OHDtXQoUO1e/duX4YKAAAqyafTHOvWrSt1nJ6erkaNGik7O1t9+vQps83LL7+sAQMG6LHHHpMkzZgxQxkZGZo/f74WLVrky3ABAHbDNIcl/LoAs7CwUJIUFhZWbp3MzEwlJCSUOpeYmKjMzMwy65eUlKioqKhUAQDgmhgWFPgvmfB4PBo/frx69+6t9u3bl1uvoKBA4eHhpc6Fh4eroKCgzPppaWkKDQ31lujoaEvjBgAAV+e3ZCI5OVm7d+/WihUrLL3ulClTVFhY6C35+fmWXh8AELguv5vDTIGfHg1NSUnRhx9+qC1btqhx48ZXrRsREaHjx4+XOnf8+HFFRESUWd/pdMrpdFoWKwDARlgzYQmfjkwYhqGUlBStXr1aGzZsUExMzG+2iYuL0/r160udy8jIUFxcnK/CBAAAJvh0ZCI5OVnLly/X2rVrVa9ePe+6h9DQUNWuXVuSNGrUKN18881KS0uTJD366KPq27evXnrpJQ0aNEgrVqxQVlaWlixZ4stQAQB2ZEgys1cEAxOSfDwysXDhQhUWFio+Pl6RkZHesnLlSm+dw4cP69ixY97jXr16afny5VqyZIk6deqk//3f/9WaNWuuumgTAIDKqKo1EwsWLFCzZs0UEhKi2NhYbd++3eKe+ZdPRyaMa/hD3rRp0xXnhg0bpmHDhvkgIgAAfsGQyTUTFW+ycuVKpaamatGiRYqNjdW8efOUmJioffv2qVGjRpWPpQrxoi8AAPxozpw5GjdunJKSktS2bVstWrRIderU0euvv17VoVUayQQAwL4uP81hpkhXbJ5YUlJS5u3Onz+v7OzsUpszBgUFKSEhodzNGWsCkgkAgH15LCiSoqOjS22gePmhgl/74Ycf5Ha7K7Q5Y03AK8gBADApPz9fLpfLe2y3/Y9IJgAAtmV2F8vLbV0uV6lkojwNGjRQrVq1KrQ5Y03ANAcAwL4sWjNxrYKDg9WtW7dSmzN6PB6tX7++Rm/OyMgEAAB+lJqaqtGjR6t79+7q2bOn5s2bp+LiYiUlJVV1aJVGMgEAsK8qeDfHvffeq++//15Tp05VQUGBOnfurHXr1l2xKLMmIZkAANhXFb3oKyUlRSkpKZW/bzXDmgkAAGAKIxMAAPvySHKYbA+SCQCAfVn1aKjdkUwAAOyritZMBBrWTAAAAFMYmQAA2JfHkBwmRhc8jExIJBMAADtjmsMSTHMAAABTGJkAANiYyZEJMTIhkUwAAOyMaQ5LMM0BAABMYWQCAGBfHkOmpip4mkMSyQQAwM4Mz6Vipj2Y5gAAAOYwMgEAsC8WYFqCZAIAYF+smbAEyQQAwL4YmbAEayYAAIApjEwAAOzLkMmRCcsiqdFIJgAA9sU0hyWY5gAAAKYwMgEAsC+PR5KJjac8bFolkUwAAOyMaQ5LMM0BAABMYWQCAGBfjExYgmQCAGBf7IBpCaY5AACAKYxMAABsyzA8Mky8RtxM20BCMgEAsC/DMDdVwZoJSSQTAAA7M0yumSCZkMSaCQAAYBIjEwAA+/J4JIeJdQ+smZBEMgEAsDOmOSzBNAcAADCFkQkAgG0ZHo8ME9McPBp6CckEAMC+mOawBNMcAABUM//4xz80ZswYxcTEqHbt2mrRooWmTZum8+fPV3VoZWJkAgBgXx5DclS/kYmvv/5aHo9HixcvVsuWLbV7926NGzdOxcXFmj17tk/uaQbJBADAvgxDkplHQ32TTAwYMEADBgzwHjdv3lz79u3TwoULSSYAAAhERUVFpY6dTqecTqel9ygsLFRYWJil17QKayYAALZleAzTRZKio6MVGhrqLWlpaZbGmZeXp1deeUUPPfSQpde1CiMTAAD7MjwyN81xqW1+fr5cLpf3dHmjEpMnT9bMmTOvesm9e/eqTZs23uOjR49qwIABGjZsmMaNG1f5WH3Ip8lEWlqaVq1apa+//lq1a9dWr169NHPmTLVu3brcNunp6UpKSip1zul06ty5c74MFQBgQ4bHkGFiAabx85oJl8tVKpkoz8SJE3X//fdftU7z5s29//3dd9+pX79+6tWrl5YsWVLpOH3Np8nE5s2blZycrB49eujixYt64okn1L9/f3311Ve64YYbym3ncrm0b98+77HD4fBlmAAA+EXDhg3VsGHDa6p79OhR9evXT926ddOyZcsUFFR9Vyb4NJlYt25dqeP09HQ1atRI2dnZ6tOnT7ntHA6HIiIirukeJSUlKikp8R4XFhZKki7qgql9SFAzXCwu+e1KCBju84xQ2sHl79nww4ZQF40SUy/ruqgLFkbzL0ePHlV8fLyaNm2q2bNn6/vvv/d+dq1/P/qTX9dMXP6L/rdWo545c0ZNmzaVx+NR165d9fzzz6tdu3Zl1k1LS9Mzzzxzxfmt+th8wKj+/quqAwDgKz/++KNCQ0N9cu3g4GBFRERoa4H5vysiIiIUHBxsQVT/kpGRoby8POXl5alx48alPvNHklVRDsNPUXk8Ht111106deqUtm7dWm69zMxM7d+/Xx07dlRhYaFmz56tLVu2aM+ePVf8gUpXjkycOnVKTZs21eHDh332f8LqqKioSNHR0VcsAgpkduyzRL/t1G879lm69A/PJk2a6KefflL9+vV9dp9z585ZsqNkcHCwQkJCLIio5vLbyERycrJ279591URCkuLi4hQXF+c97tWrl2699VYtXrxYM2bMuKJ+ec/yhoaG2urHd9m1LgIKJHbss0S/7cSOfZbk8zUCISEhtk8CrOKXZCIlJUUffvihtmzZUubowtVcf/316tKli/Ly8nwUHQAAMMOnaZ9hGEpJSdHq1au1YcMGxcTEVPgabrdbu3btUmRkpA8iBAAAZvl0ZCI5OVnLly/X2rVrVa9ePRUUFEi6NAVRu3ZtSdKoUaN08803e3cLmz59uv7t3/5NLVu21KlTp/Tiiy/q0KFDGjt27DXd0+l0atq0aZZvY1rd2bHfduyzRL/t1G879lmyb79rMp8uwCxvf4hly5Z5N+2Ij49Xs2bNlJ6eLkmaMGGCVq1apYKCAt14443q1q2bnn32WXXp0sVXYQIAABP89jQHAAAITNV3Oy0AAFAjkEwAAABTSCYAAIApJBMAAMCUgEgmTp48qZEjR8rlcql+/foaM2aMzpw5c9U28fHxcjgcpcrDDz/sp4grZ8GCBWrWrJlCQkIUGxur7du3X7X+e++9pzZt2igkJEQdOnTQxx/XvPeVVKTP6enpV3ynNXF3uy1btmjw4MGKioqSw+HQmjVrfrPNpk2b1LVrVzmdTrVs2dL7dFRNUdE+b9q06Yrv2uFweB8/rwnS0tLUo0cP1atXT40aNdLQoUNLvS25PDX9d12ZfgfKbzuQBUQyMXLkSO3Zs0cZGRnenTYffPDB32w3btw4HTt2zFtmzZrlh2grZ+XKlUpNTdW0adOUk5OjTp06KTExUSdOnCiz/hdffKERI0ZozJgx2rlzp4YOHaqhQ4dq9+7dfo688iraZ+nStsO//E4PHTrkx4itUVxcrE6dOmnBggXXVP/gwYMaNGiQ+vXrp9zcXI0fP15jx47VJ5984uNIrVPRPl+2b9++Ut93o0aNfBSh9TZv3qzk5GR9+eWXysjI0IULF9S/f38VFxeX2yYQfteV6bcUGL/tgGbUcF999ZUhydixY4f33F//+lfD4XAYR48eLbdd3759jUcffdQPEVqjZ8+eRnJysvfY7XYbUVFRRlpaWpn177nnHmPQoEGlzsXGxhoPPfSQT+O0UkX7vGzZMiM0NNRP0fmHJGP16tVXrTNp0iSjXbt2pc7de++9RmJiog8j851r6fPGjRsNScZPP/3kl5j84cSJE4YkY/PmzeXWCYTf9a9dS78D8bcdaGr8yERmZqbq16+v7t27e88lJCQoKChI27Ztu2rbd955Rw0aNFD79u01ZcoUnT171tfhVsr58+eVnZ2thIQE77mgoCAlJCQoMzOzzDaZmZml6ktSYmJiufWrm8r0WfrX6+ujo6M1ZMgQ7dmzxx/hVqma/l2b0blzZ0VGRur222/X559/XtXhmFJYWChJCgsLK7dOIH7X19JvyZ6/7ZqkxicTBQUFVwxtXnfddQoLC7vq/Onvf/97vf3229q4caOmTJmit956S/fdd5+vw62UH374QW63W+Hh4aXOh4eHl9vHgoKCCtWvbirT59atW+v111/X2rVr9fbbb8vj8ahXr146cuSIP0KuMuV910VFRfrnP/9ZRVH5VmRkpBYtWqT3339f77//vqKjoxUfH6+cnJyqDq1SPB6Pxo8fr969e6t9+/bl1qvpv+tfu9Z+2/W3XZP47RXkFTV58mTNnDnzqnX27t1b6ev/ck1Fhw4dFBkZqdtuu00HDhxQixYtKn1dVJ2Kvr4eNVfr1q3VunVr73GvXr104MABzZ07V2+99VYVRlY5ycnJ2r17t7Zu3VrVofjVtfab33b1V22TiYkTJ3rf31Ge5s2bKyIi4ooFeRcvXtTJkycVERFxzfeLjY2VJOXl5VW7ZKJBgwaqVauWjh8/Xur88ePHy+1jREREhepXN5Xp86/Z5fX15X3XLpfL+0I9O+jZs2eN/Ms4JSXFu3C8cePGV61b03/Xv1SRfv+aXX7bNUm1neZo2LCh2rRpc9USHBysuLg4nTp1StnZ2d62GzZskMfj8SYI1yI3N1eSquWrzoODg9WtWzetX7/ee87j8Wj9+vWlsvVfiouLK1VfkjIyMsqtX91Ups+/ZpfX19f079oqubm5Neq7NgxDKSkpWr16tTZs2KCYmJjfbBMI33Vl+v1rdvlt1yhVvQLUCgMGDDC6dOlibNu2zdi6davRqlUrY8SIEd7Pjxw5YrRu3drYtm2bYRiGkZeXZ0yfPt3IysoyDh48aKxdu9Zo3ry50adPn6rqwm9asWKF4XQ6jfT0dOOrr74yHnzwQaN+/fpGQUGBYRiG8Yc//MGYPHmyt/7nn39uXHfddcbs2bONvXv3GtOmTTOuv/56Y9euXVXVhQqraJ+feeYZ45NPPjEOHDhgZGdnG8OHDzdCQkKMPXv2VFUXKuX06dPGzp07jZ07dxqSjDlz5hg7d+40Dh06ZBiGYUyePNn4wx/+4K3/7bffGnXq1DEee+wxY+/evcaCBQuMWrVqGevWrauqLlRYRfs8d+5cY82aNcb+/fuNXbt2GY8++qgRFBRkfPbZZ1XVhQp75JFHjNDQUGPTpk3GsWPHvOXs2bPeOoH4u65MvwPltx3IAiKZ+PHHH40RI0YYdevWNVwul5GUlGScPn3a+/nBgwcNScbGjRsNwzCMw4cPG3369DHCwsIMp9NptGzZ0njssceMwsLCKurBtXnllVeMJk2aGMHBwUbPnj2NL7/80vtZ3759jdGjR5eq/+677xq33HKLERwcbLRr18746KOP/ByxeRXp8/jx4711w8PDjTvuuMPIycmpgqjNufzY46/L5b6OHj3a6Nu37xVtOnfubAQHBxvNmzc3li1b5ve4zahon2fOnGm0aNHCCAkJMcLCwoz4+Hhjw4YNVRN8JZXVX0mlvrtA/F1Xpt+B8tsOZLyCHAAAmFJt10wAAICagWQCAACYQjIBAABMIZkAAACmkEwAAABTSCYAAIApJBMAAMAUkgkAAGAKyQQAADCFZAIAAJhCMgEAAEz5//Ud/PzL4RpvAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(np.log10(im))\n", "plt.colorbar(label=r\"$\\log_{10}(M_{ij})$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot Covariance in Corner Plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can plot a corner plot by generated samples from the covariance matrix.s" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_kwargs = dict(\n", " plot_density=False,\n", " plot_datapoints=False, # fake in this case\n", " smooth=0.8,\n", " levels=1 - np.exp(-0.5 * np.array([1, 2, 3]) ** 2) # 1, 2, 3 sigma\n", ")\n", "\n", "plot_covariance_corner(\n", " params,\n", " cov,\n", " **plot_kwargs\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make a single contour plot." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,1)\n", "\n", "plot_covariance_contour(\n", " params,\n", " cov,\n", " 2,\n", " 1,\n", " ax=ax,\n", " **plot_kwargs\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Get Eigeninfo of a matrix (high-precision capability)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Get eigenvectors and eigenvalues of a matrix with high-precision capability. " ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([4.94652788e-04, 1.95551222e-03, 3.77427245e-14]),\n", " array([[ 1.00000000e+00, 8.14845550e-06, 9.24577096e-11],\n", " [-3.17854393e-11, -7.44586141e-06, 1.00000000e+00],\n", " [-8.14845550e-06, 1.00000000e+00, 7.44586141e-06]]))" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "evals, evecs = get_eigeninfo(\n", " cov, high_precision=False\n", ")\n", "evals, evecs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scale to a given SNR" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Scaled an injection signal to a given SNR in place." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/mlkatz1/miniconda3/envs/lisa_env/lib/python3.12/site-packages/lisatools/detector.py:630: RuntimeWarning: divide by zero encountered in divide\n", " Sa_a = Sa_a_in * (1.0 + (0.4e-3 / frq) ** 2) * (1.0 + (frq / 8e-3) ** 4)\n", "/Users/mlkatz1/miniconda3/envs/lisa_env/lib/python3.12/site-packages/lisatools/detector.py:632: RuntimeWarning: divide by zero encountered in power\n", " Sa_d = Sa_a * (2.0 * np.pi * frq) ** (-4.0)\n", "/Users/mlkatz1/miniconda3/envs/lisa_env/lib/python3.12/site-packages/lisatools/detector.py:634: RuntimeWarning: invalid value encountered in multiply\n", " Sa_nu = Sa_d * (2.0 * np.pi * frq / C_SI) ** 2\n", "/Users/mlkatz1/miniconda3/envs/lisa_env/lib/python3.12/site-packages/lisatools/detector.py:639: RuntimeWarning: divide by zero encountered in divide\n", " Soms_d = Soms_d_in * (1.0 + (2.0e-3 / f) ** 4)\n", "/Users/mlkatz1/miniconda3/envs/lisa_env/lib/python3.12/site-packages/lisatools/detector.py:641: RuntimeWarning: invalid value encountered in multiply\n", " Soms_nu = Soms_d * (2.0 * np.pi * frq / C_SI) ** 2\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "[1.49875455 1.49875455 1.49875455 ... 1.49875455 1.49875455 1.49875455]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/mlkatz1/miniconda3/envs/lisa_env/lib/python3.12/site-packages/lisatools/stochastic.py:178: RuntimeWarning: divide by zero encountered in power\n", " * (f ** (-7.0 / 3.0))\n" ] } ], "source": [ "target_snr = 30.0\n", "\n", "# with 0.0 for the phase here, h1/h1_scaled will have a nan at the beginning.\n", "h1 = sine_waveform(A, f0, 0.2, t_arr) \n", "\n", "h1_scaled = scale_to_snr(\n", " target_snr,\n", " h1,\n", " dt=dt, \n", " psd=\"LISASens\", \n", " psd_kwargs=dict(model=\"sangria\", stochastic_params=(YRSID_SI,))\n", ")\n", "\n", "print(h1 / h1_scaled)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bias estimate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Approximate waveform with a purposeful bias on the amplitude. Use the C-V bias estimate using our underlying covariance methods." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "def sine_waveform_approx(A, f0, phi0, t_arr):\n", " return A * 1.03 * np.sin(2 * np.pi * (f0 * 0.98) * t_arr + phi0)\n" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[2.02172681e+03 1.59046154e+04 1.94227045e-01] [ 1.00005281e+00 -7.75106680e-10 1.72300764e-04]\n" ] } ], "source": [ "sys_err, bias = cutler_vallisneri_bias(\n", " sine_waveform,\n", " sine_waveform_approx,\n", " params,\n", " eps,\n", " parameter_transforms=transform_fn,\n", " inner_product_kwargs={\n", " \"psd\": \"LISASens\",\n", " \"psd_kwargs\": dict(model=\"sangria\", stochastic_params=(YRSID_SI,)),\n", " \"dt\": dt,\n", " },\n", " waveform_true_args=(t_arr,),\n", " waveform_approx_args=(t_arr,),\n", ")\n", "print(sys_err, bias)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data / Residual / Signal Container" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This container is a holder for data, residuals, or templates. These communicate with other classes like the Sensitivity Matrix to streamline different analyses. " ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "from lisatools.datacontainer import DataResidualArray" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "arr1 = sine_waveform(A, f0, phi0, t_arr)\n", "arr2 = sine_waveform(A, f0, phi0 + np.pi / 2, t_arr)\n", "\n", "data = DataResidualArray([arr1, arr2], dt=dt)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
, array([, ], dtype=object))" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data.loglog(char_strain=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Analysis Container" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `AnalysisContainer` brings together the `SensitivityMatrix` and the `DataResidualArray` to perform a variety of computations. " ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "from lisatools.analysiscontainer import AnalysisContainer\n", "from lisatools.sensitivity import LISASens\n", "\n", "sens_mat = SensitivityMatrix(data.f_arr, [LISASens, LISASens], stochastic_params=(YRSID_SI,))\n", "analysis = AnalysisContainer(data, sens_mat)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/mlkatz1/miniconda3/envs/lisa_env/lib/python3.12/site-packages/lisatools/sensitivity.py:712: RuntimeWarning: invalid value encountered in multiply\n", " plot_in = np.sqrt(self.frequency_arr * plot_in)\n" ] }, { "data": { "text/plain": [ "(
, array([, ], dtype=object))" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "analysis.loglog()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Direct computations on the residual contained in the `DataResidualArrray`." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1646.1603122108788" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "analysis.inner_product()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "142084780.59000048" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "analysis.likelihood()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-823.0801561054394" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "analysis.likelihood(source_only=True)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "142085603.6701566" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "analysis.likelihood(noise_only=True)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "40.57290120524879" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "analysis.snr() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Build a template and then compare it to the data." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Template Inner product: 1728.46487088591\n", "Template SNR: (42.60154626551122, 40.572820059473216)\n", "Template Likelihood: -2.0611573257758664\n" ] } ], "source": [ "# build template\n", "h_test = DataResidualArray([\n", " sine_waveform(A * 1.05, f0, phi0 + 0.002, t_arr),\n", " sine_waveform(A * 1.05, f0, phi0 + 0.002 + np.pi / 2., t_arr)\n", "] , dt=dt)\n", "\n", "print(f\"Template Inner product: {analysis.template_inner_product(h_test)}\") # , analysis.template_likelihood, analysis.template_snr\n", "print(f\"Template SNR: {analysis.template_snr(h_test)}\") # , analysis.template_likelihood, analysis.template_snr\n", "print(f\"Template Likelihood: {analysis.template_likelihood(h_test)}\") # , analysis.template_likelihood, analysis.template_snr" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Build a template generation model and add to the `AnalysisContainer`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This allows for inputing parameters and waveform settings directly to the `AnalysisContainer` for computations." ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "def signal_model_sine(A, f0, phi0, t_arr):\n", " template = DataResidualArray([\n", " sine_waveform(A, f0, phi0, t_arr),\n", " sine_waveform(A, f0, phi0 + np.pi / 2., t_arr)\n", " ] , dt=dt)\n", " return template\n", "\n", "analysis.signal_gen = signal_model_sine" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "With parameters likelihood: 2.2737367544323206e-13\n", "With parameters snr: (40.57290120524879, 40.5729012052488)\n", "With parameters inner product: 1646.1603122108788\n", "Adjust amplitude:\n", "With parameters likelihood: -0.7407721404947551\n", "With parameters snr: (41.79008824140625, 40.57290120524879)\n", "With parameters inner product: 1695.545121577205\n" ] } ], "source": [ "print(f\"With parameters likelihood: {analysis.calculate_signal_likelihood(A, f0, phi0, t_arr, source_only=True)}\")\n", "print(f\"With parameters snr: {analysis.calculate_signal_snr(A, f0, phi0, t_arr)}\")\n", "print(f\"With parameters inner product: {analysis.calculate_signal_inner_product(A, f0, phi0, t_arr)}\")\n", "\n", "print(\"Adjust amplitude:\")\n", "print(f\"With parameters likelihood: {analysis.calculate_signal_likelihood(A * 1.03, f0, phi0, t_arr, source_only=True)}\")\n", "print(f\"With parameters snr: {analysis.calculate_signal_snr(A * 1.03, f0, phi0, t_arr)}\")\n", "print(f\"With parameters inner product: {analysis.calculate_signal_inner_product(A * 1.03, f0, phi0, t_arr)}\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.1" } }, "nbformat": 4, "nbformat_minor": 4 }