{ "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:34.991838Z", "iopub.status.busy": "2025-09-18T18:31:34.991547Z", "iopub.status.idle": "2025-09-18T18:31:37.208267Z", "shell.execute_reply": "2025-09-18T18:31:37.207643Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:37.210678Z", "iopub.status.busy": "2025-09-18T18:31:37.210330Z", "iopub.status.idle": "2025-09-18T18:31:37.749558Z", "shell.execute_reply": "2025-09-18T18:31:37.748922Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:37.751622Z", "iopub.status.busy": "2025-09-18T18:31:37.751408Z", "iopub.status.idle": "2025-09-18T18:31:37.754391Z", "shell.execute_reply": "2025-09-18T18:31:37.753798Z" } }, "outputs": [], "source": [ "from lisatools.sensitivity import get_stock_sensitivity_options" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2025-09-18T18:31:37.756217Z", "iopub.status.busy": "2025-09-18T18:31:37.756044Z", "iopub.status.idle": "2025-09-18T18:31:37.760134Z", "shell.execute_reply": "2025-09-18T18:31:37.759598Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:37.761983Z", "iopub.status.busy": "2025-09-18T18:31:37.761811Z", "iopub.status.idle": "2025-09-18T18:31:38.272859Z", "shell.execute_reply": "2025-09-18T18:31:38.272191Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'PSD')" ] }, "execution_count": 5, "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=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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:38.274966Z", "iopub.status.busy": "2025-09-18T18:31:38.274761Z", "iopub.status.idle": "2025-09-18T18:31:38.735455Z", "shell.execute_reply": "2025-09-18T18:31:38.734814Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'PSD')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:38.737407Z", "iopub.status.busy": "2025-09-18T18:31:38.737225Z", "iopub.status.idle": "2025-09-18T18:31:38.760399Z", "shell.execute_reply": "2025-09-18T18:31:38.759824Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:38.762429Z", "iopub.status.busy": "2025-09-18T18:31:38.762243Z", "iopub.status.idle": "2025-09-18T18:31:38.764732Z", "shell.execute_reply": "2025-09-18T18:31:38.764256Z" } }, "outputs": [], "source": [ "from lisatools.sensitivity import get_stock_sensitivity_matrix_options" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2025-09-18T18:31:38.766339Z", "iopub.status.busy": "2025-09-18T18:31:38.766176Z", "iopub.status.idle": "2025-09-18T18:31:38.769949Z", "shell.execute_reply": "2025-09-18T18:31:38.769260Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:38.771872Z", "iopub.status.busy": "2025-09-18T18:31:38.771701Z", "iopub.status.idle": "2025-09-18T18:31:39.606452Z", "shell.execute_reply": "2025-09-18T18:31:39.605805Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:39.608396Z", "iopub.status.busy": "2025-09-18T18:31:39.608200Z", "iopub.status.idle": "2025-09-18T18:31:39.611699Z", "shell.execute_reply": "2025-09-18T18:31:39.611241Z" } }, "outputs": [], "source": [ "sens_mat2.update_frequency_arr(np.logspace(-4, -1, 1000))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2025-09-18T18:31:39.613353Z", "iopub.status.busy": "2025-09-18T18:31:39.613188Z", "iopub.status.idle": "2025-09-18T18:31:39.624689Z", "shell.execute_reply": "2025-09-18T18:31:39.624050Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:39.626572Z", "iopub.status.busy": "2025-09-18T18:31:39.626395Z", "iopub.status.idle": "2025-09-18T18:31:40.230630Z", "shell.execute_reply": "2025-09-18T18:31:40.230046Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:40.232736Z", "iopub.status.busy": "2025-09-18T18:31:40.232512Z", "iopub.status.idle": "2025-09-18T18:31:40.420043Z", "shell.execute_reply": "2025-09-18T18:31:40.419344Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:40.421951Z", "iopub.status.busy": "2025-09-18T18:31:40.421769Z", "iopub.status.idle": "2025-09-18T18:31:40.696177Z", "shell.execute_reply": "2025-09-18T18:31:40.695015Z" } }, "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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", "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", "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:40.698370Z", "iopub.status.busy": "2025-09-18T18:31:40.698168Z", "iopub.status.idle": "2025-09-18T18:31:40.701263Z", "shell.execute_reply": "2025-09-18T18:31:40.700663Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:40.702931Z", "iopub.status.busy": "2025-09-18T18:31:40.702754Z", "iopub.status.idle": "2025-09-18T18:31:40.706363Z", "shell.execute_reply": "2025-09-18T18:31:40.705843Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:40.708148Z", "iopub.status.busy": "2025-09-18T18:31:40.707974Z", "iopub.status.idle": "2025-09-18T18:31:41.076858Z", "shell.execute_reply": "2025-09-18T18:31:41.076175Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:41.078873Z", "iopub.status.busy": "2025-09-18T18:31:41.078570Z", "iopub.status.idle": "2025-09-18T18:31:41.081566Z", "shell.execute_reply": "2025-09-18T18:31:41.081099Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:41.083322Z", "iopub.status.busy": "2025-09-18T18:31:41.083162Z", "iopub.status.idle": "2025-09-18T18:31:45.335936Z", "shell.execute_reply": "2025-09-18T18:31:45.335288Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.12.11/x64/lib/python3.12/site-packages/lisatools/detector.py:631: 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", "/opt/hostedtoolcache/Python/3.12.11/x64/lib/python3.12/site-packages/lisatools/detector.py:633: RuntimeWarning: divide by zero encountered in power\n", " Sa_d = Sa_a * (2.0 * np.pi * frq) ** (-4.0)\n", "/opt/hostedtoolcache/Python/3.12.11/x64/lib/python3.12/site-packages/lisatools/detector.py:635: RuntimeWarning: invalid value encountered in multiply\n", " Sa_nu = Sa_d * (2.0 * np.pi * frq / C_SI) ** 2\n", "/opt/hostedtoolcache/Python/3.12.11/x64/lib/python3.12/site-packages/lisatools/detector.py:640: RuntimeWarning: divide by zero encountered in divide\n", " Soms_d = Soms_d_in * (1.0 + (2.0e-3 / f) ** 4)\n", "/opt/hostedtoolcache/Python/3.12.11/x64/lib/python3.12/site-packages/lisatools/detector.py:642: RuntimeWarning: invalid value encountered in multiply\n", " Soms_nu = Soms_d * (2.0 * np.pi * frq / C_SI) ** 2\n", "/opt/hostedtoolcache/Python/3.12.11/x64/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 : 1981.3392667268322\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Complex inner product : (1981.3392667268322+401.6384179983897j), phase maximized value: 2021.6376304090381\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Normalized inner product : 0.980066432814469\n" ] }, { "data": { "text/plain": [ "(1e-05, np.float64(0.10206431774793984))" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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X3fxe1B8Pof5YCL26OVgzfm8kyZjp86BJlgdJNeIkGZqqzhk+D7KSJGM4ouBoMIwu/tR/VYjOYnSC3++H3++3v5AgiA4Hhdg4OJrgr2sZ62X65HkAjjUZDzhFQYtKJzEZvfJkbF6zi6SDPaJrj5AvKcQWk1Ge3i3vH1mfo0wPZHTNE7r64G02qls7UdsM0VmMBEEQIqT+z8J2hOpVkJdDEvOkxAwFOV6FHl188HvdCIQiqD/WpOXRCMto8HLJkTHTrx7sxxx9lvreUdLypHQeJLdmKDjN7zHmSR0NhtEUjiBNcGxLYxI8kOp+d22+Jw83BlF/LITe2Y6WZaahoQE7d+7UflfnN+bk5KBv374oLy/H9OnTMWrUKIwePRqLFy9utVmMBEF0LshAYkRRlNhf112iLvdAKOIsfBWIeZDU/Bt9zo8IeoMmw+dx3F1Zb8wkS0YAzmRsXs/liladSZGxWe8ufi9crpBjGYGYnOr9o64paiDpDeyM5r057lBvfV6cuqbT5qU82M1vTOUsRoIgOhdkIDESDEcQbm4UeELX2ByyQCiiHfK8HAu2PIxkVXNl+DzISPOgFk043hQRXk8N2WU2rwcAx0OyZNTr7UBG9XNMk2NwGWX0aKMonKypKIomZ48uMW/e8aYIugm2vdJXsWl6O9ybY0G90e5ulrH1DCS7+Y1A6mYxEgTRuaAcJEZUjwIQ81IAzv661odI1MPI6V/r6qHZRe/xkeFBSpKXS4beibxcTgyuljI61zsYjmijS6J749z40Hu50r1y9sZ4T7a+B4kgCKKtQAYSI+rB4fe64fO64fNIOOASGDNOD3a1x1CmzwO/V4aMqqEQkzEQcipjzKDxS/CcGYyZZp31Hj8hGXXePb8Ez5newM5M8+j2W46B7dcMLqeGYct7MkAGEkEQnRAykBjRV5wBkOIBUI2ZjLRY+Crg4BAORxTNeMn0eeXk9+hKyeWFAROE7Rwc7I36kJ0u3OnkszwakC1jdD2f1w2vxy1lTf09KSv8meiedGp0EQRBtEfIQGJEX+4OQEr4QSvT9utCTQ5CJPrRE5k+jxZ2Oe7A46PqF/UgyclJOSo5z+WYwYMUM5CkGB+SwmH61gZA7P5x5JXSDE05Hki9ga0PA1KIjSCIzggZSIyoHoUu/rgDToJXQVoYp/kQ9rhd8HvdsYPdgdGlhez88nJStDCOL5Y7I6vSzu12aeFPJ3ImykFyFg4zGthq+NORQRzQG9jyQpWAGraT4zEkCIJoj5CBxEj8AacaH07yM47qPUheCQaXLizkcrkkeSlixow+z8Wu0sgMRVEMc85kHuyqd8YvI/yp2+90Cfk95ga2jBwkSUnf8Qa2hHuSIAiivUIGEiP6vBkAUnrExMq0Y7kzzkJsxjwpGTlDqt76HCRAPFE7EIpAta2MeVLOw2EZEvU+lii/R8ZeNxvYsZwhyTlIEmTMTIsa2Bk+CrERBNF5IQOJkXjjwy8jxBZoWebvKLE4Poyjlac7T4DWl30D4gdxo27sSUZarNLOWbuE+AR62RViEtolqOulxSX5SzKI5bR0iBnDADQPElWxEQTRGSEDiRH1sE1Pk3cIq16YDJ+cEFtLGZsPYQdGl3o4ZqR5kOZxw9PcNVxUTtVj4vNG15LyOepkBCAlJKb/LGXkSQWaYnutrgs42xu9jDLCn6px3kJGMpAIguiEkIHEiGrM+L1qGMe550M92P1edyzEJsHgUr0yMsIu2pppctbU62xYz0GoqeXeOJNRURSD3jLCgKrxkZS98UoKfzbF3T8S7kmCIIj2ChlIjATjDAUZf10Hw7EDTvVShCMKmsJiB1wwzkCSUWkXb3w49UrpdTbKKM8wdBr+DEUULU/K75UT/pQtI2C8J/Xhz4DgmoG4vYk1GqUkbYIgOh9kIDES7wHQ8jOceD50f7GrhhfgwDujytgi1CTxYHc40iLeSyFHRlVvo2Eo6vnQ76m+mstJAr2ZoenMYxi7J/XhT2G9W+wNhdgIgui8kIHEiHp4+OLDDxIOTZ/XDb/XDVf0fHN8sKt9gKSEcZpfG6+3qFchmWHAmN7OjC59UrLPowuxSQgD+pISYpMU/gzF7TXNYiMIohNDBhIj8R4Ap712IhFFF25yR/sWaVVDojkkRk+KjEZ/QckhtvhDWEaoSfN8SEqg1xtcbrdLSvizhQdSpt7S9iaxB0n0fiQIgmjPkIHEiFmIzWkuDiAvJGZ2wMnJQYoLLToN40gNA8oNf7bMF5IQ/tT0NoYWRT/HaCK5UW+/w0pI2flmBEEQ7RkykBgxMz5Eewzp/ypvsaZjA0ntYyMxz0Vyfo8snY1rxuX3iOZJxeksM/wZn5wuul4ooiCiSySPrulQ7yaTvXYQRiYIgmivkIHESLznI8NpOCMcfZ3bBXibk2udTk+Pr2KL5QvJND4cyhhOXO7uJIzTonrPod7xYUUZ4U/zCkNnMgK6Fgw+OV7NFjKSB4kgiE4IGUiMmB0ejkNN3uhYB8B5zpCZt8dRpV2Lg91pAnRigysYjiAcEW1wGBe+chj+jNc5KqfT8KfcHCT9nqrJ6dLCn/EhNspBIgiiE0IGEiNmB5zjirMEh7DjME7cgSkaIlEURfNU+KSHAY0GFyCh+soTHxpyFv407o2s/ZYT/lR1TvO44G72QMq+JzUjjkJsBEF0QlrFQFqyZAn69euH9PR0FBcXY/PmzabXjh8/Hi6Xq8XPRRddpF1z7bXXtnh+4sSJSdXBvEeMnKomQEaX6rgwoE9OVZNeTqdhQLOE6uiakvSWVGmXeG8ktTdwGAaM9/YA8u/JDAqxEQTRifEm+w1WrFiB8vJyLF26FMXFxVi8eDFKS0uxY8cO9OrVq8X1//znPxEMBrXfDx06hOHDh+PKK680XDdx4kQ8/fTT2u9+vz95SsC8zF+0u3J8WCi6ttvwHP+aiauahNsGGAwkY3dlYb3jqrncbhd8HjeC4YjEqjM5euuND59jveMTv5tDi5J01q8tHGKLv8eb124KKwhHFK0RJUEQRGcg6R6kRYsWYdasWZgxYwYGDx6MpUuXIjMzE8uWLUt4fU5ODvLz87WfNWvWIDMzs4WB5Pf7Ddf16NEjqXq0MD6awznCB1wCD4B6CMs6NLX1HPbucbmioRy5MsrU27g3aqjNqd6JjFdZevskG8OA7p4U1TvOeNWHGEX7PxEEQbRXkmogBYNBVFZWoqSkJPaGbjdKSkqwceNGpjWeeuopXHXVVejSpYvh8fXr16NXr14YOHAgbrjhBhw6dEiq7PHEe3xkH+rRNWV5FZoP4eYDMxxRhBKg9WFFNZE8OXo7NWiMIbaYjHJGbhjXlGS8OjbijDrLkTHO0NTp7yTRnyAIoj2S1BDbwYMHEQ6HkZeXZ3g8Ly8Pn3/+ue3rN2/ejG3btuGpp54yPD5x4kRcdtll6N+/P7788kvceeedmDRpEjZu3AiPx9NinUAggEAgoP1eX1/PrUt86bfTwyi+7BtwfmjGD9TVH3DBUETLe2FeLyzf22Opt8Ca+kTyFp4zURmt9Bbem8TGh9TPUdqaRgPbyZoEQRDtlaTnIDnhqaeewtChQzF69GjD41dddZX276FDh2LYsGE4+eSTsX79epx//vkt1lmwYAHuvfdeR7LID1+1QqjJoYGU0JOSRM+HiJfC0JFc1t5Y6O04TyrNmN8j1ROnyuj4noyu43LF8sNEP0uCIIj2SlJDbLm5ufB4PKipqTE8XlNTg/z8fMvXNjY24sUXX8TMmTNt32fAgAHIzc3Fzp07Ez4/b9481NXVaT979uxhV6KZ+KGtaZIOTJ/hgIuGsZyGcdQ1vbqkWrUxJd96Rp31/3Yso847keZAb0M/oPjwlUPjQ693muM1jXqnScoXMsgoyegy6h3dmybyIBEE0clIqoHk8/kwcuRIrFu3TnssEolg3bp1GDNmjOVrX3rpJQQCAVx99dW27/Ptt9/i0KFD6N27d8Ln/X4/srKyDD+8mOX3tKlcnLjEb5fL5cigSVQpJU3vNL3esWaR3OvpKtVU2WTnC0lZM66KTV1POD8skQdSkhEn854kCIJoryS9iq28vBxPPPEEnnnmGWzfvh033HADGhsbMWPGDADAtGnTMG/evBave+qppzB58mSccMIJhscbGhpw22234f3338fXX3+NdevW4dJLL8Upp5yC0tLSpOgQCkcQaj7EYiX0agm004qh5IXYgFhlU1NY0iGcjPCV+lkKGXExnbVEcgc6R9c03xvh/TYJ0YquaWVgt6V7kiAIor2S9BykKVOm4MCBA5g/fz6qq6tRVFSEiooKLXF79+7dcLuNdtqOHTvwzjvvYPXq1S3W83g8+Pjjj/HMM8+gtrYWBQUFuOCCC3D//fcnrReSIc8lzgMQUaIGlNfDZ2sm9s6Ie1KMa8YdcAFBD1JTIm+P/DJ/J+XpVl4P4fBnUwJD04HeiqKYeiBVOdPTOPPDLPpoJcOrSVVsBEF0NlolSbusrAxlZWUJn1u/fn2LxwYOHAhFSfzXf0ZGBl5//XWZ4tmiP3DiwzhA9GDnNZCSWoUkyaCJnz8HSKy0k6R30MLbI1rmL1tvvSdL3Rs1tycqpwO9ZVbaWelNBhJBEJ2MpIfYOgLqX89et0szhJyWQMf+Wk9eo0jDmiJJ2klpZinXK2WZJyUpl8u5jLHP3lAh5sCgSUp+WEK9nXk1CYIg2itkIDGQKG/G63FDLRJzdLBLDV8lMLocVNslJVnZIrlYpDxddjjMIGOCvXHyOQJGw9pJN/ZEejvvzm2uN1WxEQTR2SADiYFE5c+As1L/+An00X83l7sLGArhiKKFcmSVpycs85fUB0lWeXpsvZjBpeqs5ofxr9lyb5yU5et1VhPJAVl6y2xFIPeeJAiCaM+QgcRAIq8H4CznI37ulWE9BzkpUTllh68khtgSeT4cGXHmXi7AYfhKVhgwgc6ALL3l5CAZEsklejUJgiDaK2QgMWDmQXJS6p+oYaKTKjZ9nkuixo5CZf4JmhHKKneXtaZVM0sAaAo50NvTMgzoZK9bGEiOcpDM9RaRsSmsQK2L8CfQmwwkgiA6G2QgMRAMGXsgqTg5PJoSVQxJqDhzuYwdtLV8HIEk7YQyOuwgrsppyMVxoHciGb1uF9RIlkgHcU1GSXlNTQl01q8v5jFsGU51ktOkN6oSGV2i40sIgiDaK2QgMaAeHmkSDzjVo6NvD+BkvVDzemluY56LIyMuEqvekyGjQc5EejsoodfLqM4QE5UzpOrtkaN3or0GnOVzhSTvTUjnYTTq7RFesy2ya9cuTJgwAYMHD8bQoUPR2NiYapEIgmijtOlhtW0FzUAyC5E4OYTdCYwZkQNTO4RdhsdlHJoJjbhwBIqiGIwxpjUTGR9OjBkz48PrRiAUcWxs6tcDRPempc6GNZ3IKMnAVo1hIPE9KRpSbWtce+21eOCBBzBu3DgcPnw4ac1lCYJo/5AHiYGgli+U+IATCT80JQjjyAixmXm5REJisdCQLmTXnJ+iKNDGr7CiKLFKu0QHuzMZE+eHiRg0sc9Sbyh4HMioJJRR9n4788TFdDZ4IDtQkvann36KtLQ0jBs3DgCQk5MDr5f+RiQIIjFkIDFgZnw4KauOhYbkVHOpnpm0OCPOSXl6otBQmle8A7TeoNJ7Z5x9jom9M07WTOSVUj9XR6HKeANb2xv+PKlEXiknbSdCCe7HqIzievOyYcMGXHzxxSgoKIDL5cKqVataXLNkyRL069cP6enpKC4uxubNm5nX/+KLL9C1a1dcfPHF+MEPfoCHHnpIovQEQXQ06M8nBhJ5PQCnoSGLPBcnIbb4A85RGMc8HKau2YUjQmGe5+IkFyd5eqdJykFKyt5E1HtSUr6ZXRiwFUJsjY2NGD58OH7xi1/gsssua/H8ihUrUF5ejqVLl6K4uBiLFy9GaWkpduzYgV69egEAioqKEAqFWrx29erVCIVCePvtt1FVVYVevXph4sSJOPPMM/GjH/0o6boRBNH+IAOJgUThMP3vomXVQFyZv4OuxZqXy5vYSyEmY8vwldpBPKLwr6k/ZBOFhkT0Vl/jM9FbLMRmHgaU9TkaZeRvRaAaQXoZnbSdSEYYkJdJkyZh0qRJps8vWrQIs2bNwowZMwAAS5cuxauvvoply5Zh7ty5AICqqirT15944okYNWoUCgsLAQAXXnghqqqqLA2kQCCAQCCg/V5fX8+jEkEQ7RgKsTFgm+ci6S92JzlNiRKLHcsYaVkhZpCTN8RmMJD0eU0OwoDJ8CAlCFc6yWmy9c448CB5EySSi3QQN5XRQe6VTILBICorK1FSUqI95na7UVJSgo0bNzKtceaZZ2L//v34/vvvEYlEsGHDBpx++umWr1mwYAGys7O1H9W4Igii40MGEgOxv9blhR9iIZLEOUiKwudVCJnkSUkJNZn1f+LUO6QzuGQlAidH70R7I17unmg95zK29Jw56SCe6H7Ur5nqKraDBw8iHA4jLy/P8HheXh6qq6uZ1vB6vXjooYdw7rnnYtiwYTj11FPx4x//2PI18+bNQ11dnfazZ88eYR0IgmhfUIiNAdMKMQk5H4nyXKLPKy3CRiwymicCi4dd4r1S0d44IW691etlelISfY6A0xCbKqekEnozGR1VsZkn+atrZvpEZExdiK01sAvjxeP3+6kVAEF0UsiDxIA6rsKsD5KsqiG/Ew+ART8gURnNwi6iYTvNS9GiUspJu4Rk9H9qNhYkNWE0DQNKrmJT88NE5NT22iScmmoDKTc3Fx6PBzU1NYbHa2pqkJ+fnyKpCILoyJCBxIBZDpKTUvJEXqm0OA+AmIzyyt3NvApaybtgnku8oelkqr2p50NQ73BEgdqNwLg3UZ2FjLhQYr1leKXM7kleg9i8UlNsr2Xj8/kwcuRIrFu3TnssEolg3bp1GDNmTAolIwiio0IhNgbsqticdFfWh108bhc8bhfCEYXfQEpKuXvLUnIna5p6KTRjRsSTYpPfI2jEAeajRng7iGtJ36Z6y+lRpcoZCEUEPJDyw4C8NDQ0YOfOndrvu3btQlVVFXJyctC3b1+Ul5dj+vTpGDVqFEaPHo3FixejsbFRq2ojCIKQCRlIDCTqrAw4K083DYl53DgWCXMnxdqNsxAq/bYzugTDgOaJwPzl7onmxRlkdNLMUl9Cr5twH4ooLe4FSxntwoACeicaVQNEw59HwL/f5vPimpPTW8GD9OGHH2LChAna7+Xl5QCA6dOnY/ny5ZgyZQoOHDiA+fPno7q6GkVFRaioqGiRuE0QBCEDMpAYSNRzBnBWnm5ldB1rCguESGxaEcgMDQl6PsySlZ21S7Bp4slrKOhkSNQHSZUz/v2sZZSfAK31LUry3rSmB2n8+PG21ZtlZWUoKytLuiwEQRCUg8RAMg44u7Jq/gPOxEshY3yJJO+MVVgIkBeqdCRjs84uVzTkGb+eyJqmnjNHFYayPWedo4qNIAiCFTKQGDDrMiw65ywSURA2a8Io2Pk6FmIzk1EgjGNi0KSJymgSFtLWk5iLIyyjSWsDj9ulVYhxh6/M9JYQojWdDygaYmuxN67m58lAIgiic0EGEgPqYRMfzlAPoxCn8aEemECCiq7mAykUETvgWhhxXlVGiWFAUb1NP8fmQ5hTZ/2aZp4PURkT5RhpRleEc02zNhGCe22UU9I9aVMNGOLUmSAIor1DBhIDTSY5SKJ/XesPr3hPhVcLiYkZXS08AG5xD4CZl8IrXOZv5qUQT9JONBZE/x7CMibIMRL1dJmFKtXkd17vnqIosa7kLdo6OLsnW+41hdgIguickIHEgJlXwSt4sOsPL7ODnduDZOKl8Ap6FPRymh2aovO+WqzXrHM4oiAi6p0xlVGOJyW6pqh3z+xzbF5P0IhLvKaze1LW/UgQBNHeIQOJAbsQm2hJNWBMBNa/h2h+T7yXQrSpo14Gs8Rv3kPYNG9GP2KF1/gwK/N37EkxD7Fxe/csWjoIyRgxN7BFPUh2CfQi3j2CIIj2DBlIDJh5KUTzhfRhofiGg14tJCbnEBbNSYnKmThhWZNR0JPSIiykW59XTrvQEPfnGEksY1ROwf2W7oGMXR/fo0rbb1kyOgjREgRBtGfIQGJA8yCZVUrxehRMDC7DmpLCV6LrGdaMG5obq74SO9jNDE0ROWXrbZZvBuj0FvTOyMphswrRCt+TSbh/CIIg2jNkIDFgNkNM2JNiEhYCxD0+5l4KsUNYURRdUnXcoSnqSTFJqNaHGUVzZ8ySlfllTOw1A5x498xkFN3rWLK7qQeS+5402WsHHkiCIIj2DBlIDJglsDo94KwSgfl77ZgZM2Jl2mHDyA25oaF4GV0ul3ODpkVoyFmycsIQm+h+t1KoEtC3dZBjYMf2RbHtck0QBNGRIAOJAbXE2TTEJiksZFyTN2xnFg5zlrSbSM6k6s0drpTbgsEsHGaQUVRvs1ClzM9RMGfITG99ThslahME0ZloFQNpyZIl6NevH9LT01FcXIzNmzebXrt8+XK4XC7DT3p6uuEaRVEwf/589O7dGxkZGSgpKcEXX3yRNPnNDw9nOSSJvRRyQ0N6TwqPB0Dv1TANX0maGB+Vs22EhixldLrfZt49UY9UQg+kXM+Z/nOgUn+CIDoTSTeQVqxYgfLyctx9993YsmULhg8fjtLSUuzfv9/0NVlZWdi3b5/288033xief/jhh/HYY49h6dKl2LRpE7p06YLS0lIcP348KToEbRNY5R1wsVJyOUaX3uvFE2azamYpOr7EbF4c4KC9gU34k7tRpInBpV9TvL2BLO+efQ6brEaR+t95vXsEQRDtmaQbSIsWLcKsWbMwY8YMDB48GEuXLkVmZiaWLVtm+hqXy4X8/HztJy8vT3tOURQsXrwYd911Fy699FIMGzYMzz77LPbu3YtVq1YlRQe7ERncjf5CVp4UsZwhu2aEUTk5PEjN63ncLrjjO0ALNzi0aMIo6E2x8+4J7403kYEkuVGkcJ6UlYHtdG8SJ30D/N49giCI9kxSDaRgMIjKykqUlJTE3tDtRklJCTZu3Gj6uoaGBpx00kkoLCzEpZdeik8//VR7bteuXaiurjasmZ2djeLiYss1ndBkkoOkHXC8xoyll0I0fGWSrOwRO+AsvRSCRpx1aEhuuFKfXMwnY+KGm4Bzg6Zljyr5oUrheXEm96QhgZ5ykAiC6EQk1UA6ePAgwuGwwQMEAHl5eaiurk74moEDB2LZsmX417/+heeeew6RSARnn302vv32WwDQXsezZiAQQH19veGHB+0v9rgkW59oiMTSSyEWvjINA7r1IRIeAynx8Nvoe4h15w5aeM5Eu3Nr3j2zqfacocpgMpO0zXoWSdprQGdo8oZoLe7JmGFIHiSCIDoPba6KbcyYMZg2bRqKiorwwx/+EP/85z/Rs2dP/N///Z/wmgsWLEB2drb2U1hYyPxaRVFMDyTRsJCll8KhByneS+F2u7Q+Q3w5SOaJ5KKz2EJa/yfzg51nzUhEgapSvN6ioUorvYU9PiaeM82YiUS4EujN9hpw4t2zvyfJQCIIojORVAMpNzcXHo8HNTU1hsdramqQn5/PtEZaWhpGjBiBnTt3AoD2Op41582bh7q6Ou1nz549zDpYlrt7BROBrZKVHc7nSnTAaR4fAQ9SokPY+Sw2izlnHHpbVdqJeveselSJJ6cnDleqn6OiGPtO2cpo0nDTKKPoPSlvvwmCINozSTWQfD4fRo4ciXXr1mmPRSIRrFu3DmPGjGFaIxwO45NPPkHv3r0BAP3790d+fr5hzfr6emzatMl0Tb/fj6ysLMMPK/oDtkUYxy3mUWCZGM8fdrE42AW8CmahK6OMvOErK735vXH6z8gsP4zXuxe0yO+RnZyuN0Z49iZoMarGuYzkQSIIggAAb7LfoLy8HNOnT8eoUaMwevRoLF68GI2NjZgxYwYAYNq0aTjxxBOxYMECAMB9992Hs846C6eccgpqa2vxyCOP4JtvvsF1110HIJo0esstt+CBBx7Aqaeeiv79++O3v/0tCgoKMHnyZOnyW829Ug+4SLMHwJPAe5MIy07agvke1iEx/gMuZDG01Svq5bIMDQnIqLs23jvjFcyTYglfyfJK6WUOhiNIT/OwrWcxqsa5d09e7hVBEER7JukG0pQpU3DgwAHMnz8f1dXVKCoqQkVFhZZkvXv3brh1OSnff/89Zs2aherqavTo0QMjR47Ee++9h8GDB2vX3H777WhsbMTs2bNRW1uLsWPHoqKiokVDSRnoD5p4Ayh+yKrHzXbAWc1i8wmPipB7wMXGgiQ6hMWqmlhCQzzVV1Z749M8UhJDlV4x757dLLaonPw5SHJH1dj3VuLNayIIgmjPJN1AAoCysjKUlZUlfG79+vWG33//+9/j97//veV6LpcL9913H+677z5ZIpqiP9TjB4OmCYZIrCuGnM3nsjKQRPogWXq5OA9M2aEhfRiwxdBWwU7almFALVQplt8THwb0uF1wu6IeSB69rcKAoh3EzQYy69+HPEgEQXQm2lwVW1sjNjnd3PAA+MqqY2NBrDoh8/axsa++4gtfWXik1K7XnKXkbKEhfhmtdJYZYot1+xbznFkNwOWR0zIMKGjMaPudqMJQsP8TQRBEe4YMJBuCFrk9HrcLquOCx+MTW1NiJ+SQxQEnYHRZ6a0lp0v0cokkp2sySgwLWSYrC+RJKYqiC1fK9u5ZNLPk9e4lob0BQRBEe4YMJBtCJuERFRGPTzISYrVQoNfKKyXZgyR1RIaAjM06x4+A0a8XjiiICOQ1yZPRvNIuuia/0WUZThX17lGSNkEQhAEykGwwS7BVESn1t54Y78z4sBxfwuHxsUqoFvGkAHZNGPk9KVbhT9ERK2yNIsWG/lpXBPL0QbLYa0HvnvU9KZacThAE0Z4hA8kGq8MIECt5tx5n4WwmWcK+RW61USRPrx37pG9+Gc29cZqMIsnKibxm+hErAuGrxP2f+POF9Ncm7lEl4EFSZwNaeAv5R9WQB4kgCEIPGUg2WP1lHX1cJMQm15Oiv95yTS4Pkty8GcDaG5cm0N7AKrFYv19clXGa3rK8XOZ9tACd3jyDhC32RnhUDUMLBhpWSxBEZ4IMJBusEqoBwbBLxPxgFynzVxTFpopN/GCX2VlZdmjIytDU90USM15lhSoVTZ74VgSAPlwpx8D2OTWwLYxN3tYTBEEQ7RkykGywSl7VPy4UGrJMgGZfLxxRoM46tUoE5pPRXG/Rbs1a+MoyNCTnc3S5XEKtA6zCgJqMQqFKOw+kWP+neES7nMfClRZrciZ+EwRBtGfIQLLBKvQAiIU0LENsAjPE9JVSiTwfIk0TWUaX8CcCW4WGHCRpmxivXgHvnlUY0Cvi5bLwFgKiZf7m4VSvoLdH8xgmCi1qelOIjSCIzgMZSDZYjdwA9PO5RMr8zQ84rqn2FjPJ9O8jUp5u1zhQUeQYH2Iymh/qUTn5P0vrJowi7RKsqyBF9jvWcNPCu8fh5QpHFKi2j5XevE03CYIg2jNkINlg56XQ5nMJNIqUNxYkdq2sKiQtNJQgHKYP7XCNWLEIDYkku1uFAQHdXDueBGhNRjldzq32Wv841343Gz+J+j+JePesBjJH16QkbYIgOh9kINlg1bUY0M3nkhQaEularF7rdrUc2mqQkcOYsfJS6L0hsvSWHaoExPZGdoWYfQ6bgEHDMFhWpK+SmZw+Ab0JgiDaO2Qg2aCFhUxySMQSgS3yPQT62NhV2qlJ0TxJtk0WYUD9ISqSVC1rFptVR2kg5v3iCleG7CvERPoqmTYa1RK/+fcmoYHtFvgcde+daG+8AvckQRBEe4cMJBu0XBybRGCuA8liTaFScptxKCLzuSzHWQj2GFI/y4ShIa29gchYEOv8ML6Ed6sKMZGxIDb3j4h3zyIMKJSY3qyzy8wD2YE8SAsXLsQZZ5yBIUOG4Lnnnku1OARBtGG8qRagrWPXKFJoVIRlpRR/SbXVtHj94yKz2BJ5KVwuFzxuF8IRhVnvSERB2KIJo0gpuVXPoujjcvX2CnhnQhbhMEB0Fpt9InkwHIGiKAl7L7WQUddwM9H1It69tsgnn3yCF154AZWVlVAUBRMmTMCPf/xjdO/ePdWiEQTRBiEPkg1WhxEglp9hmazs5ff2qH15TJOVtSRbOcnK0ffiO9j1SeyJeu1oMgp4kOwHCYsk0CcwFLz85e6x3k92Msr37oUZ5WTNs+O5J9si27dvx5gxY5Ceno6MjAwMHz4cFRUVqRaLIIg2ChlINljlCwFiXgXrHJIklLsLDBu1Mwx5c130IZ+ErQOEQpXW3hkx7565sSni3bNrEyHk5WIYC6J/b2YZ7So1k9wocsOGDbj44otRUFAAl8uFVatWtbhmyZIl6NevH9LT01FcXIzNmzczrz9kyBCsX78etbW1+P7777F+/Xp89913EjUgCKIjQSE2G7TxGGaeFK/AIcwwFkRRoh6ARDkh8dgecCL9e+xCQ143EGD3pthNtRfrMSTfu8eyNzyeFHsZRbx79pV2UTkjyIDHXkabZqhpAnlSIjQ2NmL48OH4xS9+gcsuu6zF8ytWrEB5eTmWLl2K4uJiLF68GKWlpdixYwd69eoFACgqKkIoFGrx2tWrV2Pw4MG46aabcN555yE7OxtnnXUWPB77z4cgiM4JGUg22FZKCXRX1vrYWCQCq+/tcdt/gduFSMR6K1mHhrycni59JZlVM0shGSWGhmKjQeS0YLAKpwKi3j0LD5LOaGL9LJtsQrQieVIiTJo0CZMmTTJ9ftGiRZg1axZmzJgBAFi6dCleffVVLFu2DHPnzgUAVFVVWb7HL3/5S/zyl78EAFx33XU49dRTLa8PBAIIBALa7/X19SyqEATRAaAQmw12fWyEDjiGPjbRNfnCV+aVUg4SgW1GZLDqrfdSJB7aKjdUGX2cPzRk2UE8CWX+QonfFvvtdrs0ryNvfph5kn/qk7SDwSAqKytRUlKiPeZ2u1FSUoKNGzcyr7N//34AwI4dO7B582aUlpZaXr9gwQJkZ2drP4WFhWIKEATR7iAPkg12eS5Oho1aVSEBHB4Axl47ImX+5mvyeVNUL4WpwSUQqrSTMZb4LbI3csah2BmasW7fMo0utcKQdW/UHDabZpYp7IN08OBBhMNh5OXlGR7Py8vD559/zrzOpZdeirq6OnTp0gVPP/00vF7rr8B58+ahvLxc+72+vp6MJILoJJCBZIN2sMvM77GovvK4XXC5ojlIzAec7TgLAU+KXW8lzvlcTbZ5LiIl+WzhK9YGh4oSa1sga2SL1lcpwcgWQDcvjivx23q/fR43AqEIh3fPLsTGt9dtGR5vEwD4/X74/f4kSUMQRFuGQmw22CawCuXO2CR+c3p8mCfGS/KkGNZkPYTtRm6IeFIsxoIYZWTTO2wYuWEe/owoPCX0jDLyNAbVDBrryjhm757tQF3+HDbZ5ObmwuPxoKamxvB4TU0N8vPzUyQVQRAdGTKQbLDthCzw17VtUrWbz+PDesDxjIqwG7HC3QeJISwEcHpSLMaCRGXk8/joPS5W8+L41mQLVaqeSqY1Q3Z7w+ndY6wGTGUOks/nw8iRI7Fu3TrtsUgkgnXr1mHMmDEpk4sgiI4LhdhssBuIKlIhFrILiXndQDDM7FWwM+KEBuBqY0HsjA/eZoTyPSnmjSL5EugNzSwtZrHp39tWRpswYMxbyNP/iS0kxu7dk18NKEJDQwN27typ/b5r1y5UVVUhJycHffv2RXl5OaZPn45Ro0Zh9OjRWLx4MRobG7WqNoIgCJmQgWSDbfhKpMw/Yv0Xe6yyie+Ak1vmbx0a8nLqzZrnIlLmLys0ZNvMUpeozx6+sg6nioSv7Pebb29sQ5Vq+DPJHqQPP/wQEyZM0H5Xk6OnT5+O5cuXY8qUKThw4ADmz5+P6upqFBUVoaKiokXiNkEQhAzIQLKBOXzFEyJhPOBkJWlr4SuhMKCc5HStUsomb0aqjLzl7s3XedwuuBNULeqbdrKHrxgT6GUOwOW8J7W9MRuHIpBAL8L48eOhKNYyl5WVoaysLKlyEARBAJSDZItVST7A/9d6OKJAPQPskqrljYoQCF8xG3Gs4SubcnchT4p1sjJv+CqWd5V4PZfLxS0nq+dMbm8lXu+eWubfdpO0CYIgWhsykGyITTqXlQis6yht401hbhRpc8Bpc9O4vFx2TRj59LYzuMRmsdmEAT18ettV2onIaWd0iTTxtDO6fF7ee9KuqpLfu0cQBNHeIQPJBtaEWN5kZas1eb0UrEnaXInANgYNv4ysSdqKbZhFW9MmNOTjzcWx0Vkvp6zkdB+ndy8SUbQWA/ad0yXvDXmQCILoRJCBZINdFRtvzxlDIrDdiAze0JDMRGC7Q5jbk2LjpdDPEGPu/8QWGpIVqgT4Q6p2YUDehHz9PdFqPaoEKgwJgiDaO61iIC1ZsgT9+vVDeno6iouLsXnzZtNrn3jiCYwbNw49evRAjx49UFJS0uL6a6+9Fi6Xy/AzceLEpMhuf3iI/bXuchmTfvVohyZnHySpicAhu9CQXE+KSI+hoG0YUDDZ3URnQL83bHoHbXLYRA3NqJxyEuiDdmFANcTG0aOKIAiivZN0A2nFihUoLy/H3XffjS1btmD48OEoLS3VhkbGs379evzsZz/Dm2++iY0bN6KwsBAXXHABvvvuO8N1EydOxL59+7Sfv/71r0mR3+7w4M5BsvHMAPoZYrweADk9i6Jy2oWGxDxndl4KHjnt8ppiYUDOXC6TkF30OT7vnp3e3EnfhhCtpBw2VUbTKjb+LucEQRDtnaQbSIsWLcKsWbMwY8YMDB48GEuXLkVmZiaWLVuW8Prnn38ev/rVr1BUVIRBgwbhySef1Drm6vH7/cjPz9d+evTokRT5QzaGAu809hCLl0I4fCXPg2R3sPPqbT/0l9+DZC8jr3dPTfq2yEHi9O7Zjapx4kEy80DyGsS2Sf5e/vunw/P+4wBjrhxBEO2TpBpIwWAQlZWVKCkpib2h242SkhLmoZFHjx5FU1MTcnJyDI+vX78evXr1wsCBA3HDDTfg0KFDUmVXsfUAqJ4U5tlc1iEX/Xtxh69sDkxWT4qiKJo+subFxfogJdbb5XLFytM59TY1uriruaxl1D/Hut9qLyK7sSD8MkZDy4nX5MuTsg0D6sKprAn0HZ43HwRe+w0QCadaEoIgkkRSG0UePHgQ4XC4RafbvLw8fP7550xr3HHHHSgoKDAYWRMnTsRll12G/v3748svv8Sdd96JSZMmYePGjfB4PC3WCAQCCAQC2u/19fXMOtj3nFGb8skZCxJ9TrDM37Ykn8+TYrVmbIYYbydta89ZKKJwe6XsQkOyPFKqjAB7yTvrsGP2sCLL/cN3T7KGAYHoPlrtYefBBXzwJFC/F7j8KcCXmWqBCIKQTJuuYvuf//kfvPjii1i5ciXS09O1x6+66ipccsklGDp0KCZPnoxXXnkFH3zwAdavX59wnQULFiA7O1v7KSwsZJaBeXK6pHwhIGZ08Y+zsOmEzNk40EpOXr2ZKsREDRrTPkii3j0rI05uhRj3XtuEKg1rcs6Ls9vr6LXkQQIATH4c8PiBHa8Bz/wYaDiQaokIgpBMUg2k3NxceDwe1NTUGB6vqalBfn6+5WsXLlyI//mf/8Hq1asxbNgwy2sHDBiA3Nxcw6BLPfPmzUNdXZ32s2fPHmYd7Can8yYCB1nCOF5ej4+dlyK6nqJA66FjuV6IxYOUhPCVl+9g19a0Hagrz7un9VaStN/coUp1sKxFIjlvAn2QJ4GeSv2jnP5jYPrLQEYP4LtK4KkS4GDi7x+CINonSTWQfD4fRo4caUiwVhOux4wZY/q6hx9+GPfffz8qKiowatQo2/f59ttvcejQIfTu3Tvh836/H1lZWYYfVppscnF4w1d2fZUA/tlXtl4KzgRoQ68dSdV7dl4K/XvxhivN83s4w1c24TD9ezGH2Gz2mzucaqOzUUY596QhgZ5K/WP0PQuYuQbofhLw/dfAUz8Cdm9KtVQEQUgi6SG28vJyPPHEE3jmmWewfft23HDDDWhsbMSMGTMAANOmTcO8efO063/3u9/ht7/9LZYtW4Z+/fqhuroa1dXVaGhoAAA0NDTgtttuw/vvv4+vv/4a69atw6WXXopTTjkFpaWl0uVXDw+fXS4Or5fC4oDjTgS2PeD0JfQMBpIu+dk2EZjxEA4yHOy8erN6zpg9KTbeQkDn5eLuci6nqaPdXuufYw/Rqkn+5gn0HjdfuLLTkHsqcN1aoGAEcOww8OwlwGcvp1oqgiAkkHQDacqUKVi4cCHmz5+PoqIiVFVVoaKiQkvc3r17N/bt26dd//jjjyMYDOKKK65A7969tZ+FCxcCADweDz7++GNccsklOO200zBz5kyMHDkSb7/9Nvx+v3T5Q3b5Pdx9kKzDQtH34vOkhBjDOFE57Q84pmRlQU+Kld6i3hTbqfaSBssC/N491gaZ7J9jVEYzg13/HH9vLvu9oWaRCejaC7j2VeC0iUDoOPC3adE2AARBtGuSWsWmUlZWhrKysoTPxSdWf/3115ZrZWRk4PXXX5ckmT12SbG8peksIRLe0Q52ieQetwsuVzQHicWrwJKszOtB0mS0Cg1xHOyKosT2xnR8CW8zS4YQmzYGhk9vuzJ/XhlZPEj8YV/rBPrjiJAHyQxfF2DK88B/bgc+fAqomAvU7gEueACwuOcJgmi70P+5NtgPguXzpLANROU74JhCQxxysrUiEBxnIWkQbDiiaH36TEducPZBshtdYpCRewyMdYgtwphAH+vsLm9v7MKAAP9n2SnxeIGL/hcouSf6+/tLgL9fCzQdT6VUBEEIQgaSBYoSm5xuOxiUO29GjidF/94soSEWjw+LEafJyF1Kbt//icWbov+8zfog8XbSZvEgcXv3JCfQ240FMcgoaU4eoP8syUCyxOUCxt4KXPYk4E4DPvsX8OylwNHDqZaMIAhOyECygG0waPTgCEcURBiMBbucpuiavL12GA52L/vBbhcW0r8X/yw2OR4k/UFtV2nHHapk0Ju3BYOZgR3fhNFeRuuu6QYZOY04mfdkp2fYlcA1KwF/NrDn/WiF2+FdqZaKIAgOyECywNAw0SS5WH+osBxILBPjeROBWUJDsY7fcjxI4hPj5Xgp2Lp987Vg0EKVLJ4zWUnauvuAJWwX22v7VgSyRtUA/An0BID+44CZrwNZfYBDO6NG0neVqZaKIAhGyECyQH/A2PXaARjDVwzhMNHeSix5TSzeFL6QC2dHaZbQEIuXq1lGt8t8aCv3VHubkS0AX6hSf53ZmnrZWQxs2aHK6PvKvyeJZnqdHm0DkD8UaDwALP8xsKMi1VIRBMEAGUgW6A9WuyTb+OvNYGoUyX2wy02qZgq5cCbtcoWGWLxcEXsZecvd+cKAfG0dzMKALpdLJ6ecFgyiTTzZEujJg8RNVm9gxn+Ak88Hmo4CL/4M+OCpVEtFEIQNZCBZoB5GHouGiYYQCUfujFUfG97cGTU0xDJklU9GqzAgb4NDDi8Fi5crZP85xhom8jVhlOlJUa+zGg3C09gxyOAt5JeR5Z5k90ASCfB3A36+AhhxDaBEgFfLgbX3APR5EkSbhQwkC/Qdpc1wuVyc4Sv7HBLe3JkQwwDT2Mw4FgOJJWmXNxHY3kvBI2PIpgdSVMZYhaGisHtnrL1S7HsdieiqIC09ZzweJIaeRZzGDE+SNoXYHOBJAy75AzDh/0V/f+f3wMrZQCiQWrkIgkgIGUgWqKErq7+sAV1SLEcCtGVCtej4EklrshiGspOVeWVUk80tK+10z/F4zqzCgDx6G2basRibPD2qWAwuhvsRYBxfQmX+cnC5gB/eDkx+HHB7gU9eAv5yGXDs+1RLRhBEHGQgWcDi9QD4vCk8oyL4+9jIySFRPQ+WE+O5ZeTJnWH3IFmGAXWVhzzePZZEcp58oaicckromxgSyTVjhtODJEtGgoGinwNTXwJ83YBv3gGWTQRqd6daKoIgdJCBZEGQwdsD8Bkfdkm70fcTm89lXX3F02PIPiwkWiEmKzmdJQyo9y6xeFNYQpU8MuqNCZbRICz7ncwEepa9Yb0nCQZOPg/4xX+Abr2BA58DT/4I2Lc11VIRBNEMGUgWhBjCGQBfMrB6ULMc7LzT2JkmvHOU+bOFhRg9SCGGWWwcevPMiwM4e1QxeGdY9lpvTFgaXQJ6W3oLeRPoGUbVeMmDlBzyh0bbAPQaDDRUA09fCOxcm2qpCIIAGUiWxP6yZvMgMXkAGEJDPi+78aEoCleZP8s0dp6QC2+5O0sYMMgRvrKS0eVyCTWftPwcvfx7neYxr4LUvx+Pd4+lDxKzB5Ih1463ZQLBQXYf4BcVQP9zgWAD8PxPgS3Pploqguj0kIFkAcsQz+jzcivEYp2Q2ceCAGwjMljGWbB5pPg8CmyVUuzl7k0MYSH980yVcSxeKQ5vj6azzTR3L1cOWzL3Rl5IleAkPRuY+g9g2FWAEgZevhF48yGAofqSIIjkQAaSBSy5PdHnBSrEJCVUG2aSSVuTfRZbMBxhKqGXnUjexBAW0q/J4k1hm2rP7t1jqQ7Ty8gyaiRWaSfH26MoCpOcVObfCnh9wE+WAuN+E/39rd8Bq34FhIKplYsgOilkIFnAYswAnB4frqZ87B6p6OvkNDjUZDSZPwcYD+gwh5xMZf5MQ1vZWjDwefdYcpB49ppVRo79ZhoLwm7E6feO6Z4kD1JycbmA838L/Hgx4PIAW18AXrgSOF6faskIotNBBpIFsX5AjAectAox/kNdL0dCGd0c4SuWwbL6GXQcYTsWD5KsJG2AdwCuvd6yQ5X69+PynEmbu6evtGMwDBn0JiQwagbwsxeBtC7AV+uBpycB9XtTLRVBdCrIQLIglvxsl+eidmzmCJFYjZ7gONRDOoPLKhHYK9lLITqDTlaFGItHSv88i96aV8rCcyZSaWcnI1eeFIPnzMtRxabPe7IeX0IepFbntAuAGa8CXXoBNduAJ0uAmk9TLRVBdBrIQLKA1YPEM9leM7osvRTshzqzl4JrWK29t0fvAWM7iBmS0z3sXgoWGaNr8njO7HOveMJXLNWF+uf5WjDISajW752se5KQSMGIaBuA3NOA+u+iDSW/eivVUhFEp4AMJAu0JG0Lbw+Q2gOOJWk3+rxAGNBCRo9+SC+P54yhCaOsMGD0eXaDhieBnmmvtURy1jCgnFE1Iga22wW4rcK+NGokdfQ4CZi5GjjpHCBQDzx3ObD1xVRLRRAdHjKQLGA51AE+rwJL2IWn0Z/mpbAx4mLeGTmhIcOQXhs5wxFFq1ZmS4DmCLFJNF5ZEui5woC8HiSuxG97YybMMKSXPQxIjSJTSkYP4Op/AmdcBkSagJW/BDY8Qm0ACCKJkIFkQSwsxJZky9Zrxz6vSajrtcRu36ztDVj1Zm1FwKO31oRRZpdzlh5VHIYmdxiQIz+Mpes1YG9sMreycLPvTVvhJz/5CXr06IErrrjC8PiePXswfvx4DB48GMOGDcNLL72UIgk5SUsHLn8KOPum6O9vPAD8+2YgHEqtXATRQSEDyYIQQzgD4K0aYq8QawqzeABYDziBCjFWz5mN3sZKO5ZScjlhQICzQoxBbz4Z2e4fLs8ZRxUbYH9P8uewtR+Pxc0334xnn23Zkdrr9WLx4sX47LPPsHr1atxyyy1obGxMgYQCuN3ABfcDFy4EXG5gyzPAiz8DAg2plowgOhxkIFnAPotNbmiIp8cQr5eCJQGaPzTE5qWwW1PEmGFt4slXxSY5DGjbKJI99yo2qsZeRhY52asB218V2/jx49GtW7cWj/fu3RtFRUUAgPz8fOTm5uLw4cOtLJ1DRs8CpjwHeDOAL1YDyy8EjtSkWiqC6FCQgWRBbH4YawK0nNAQT48hlrAQwJvnwmh0MSbuqp+jy2VM7m4pI4cxwxkGlO5B4gkDMpb5MxmvHCNbAPv9Zg5VutllZGHDhg2YMmUKACA7OxurVq1qcc2SJUvQr18/pKeno7i4GJs3b5by3noqKysRDodRWFgofe2kM+gi4NpXgMxcYN/WaBuAAztSLRVBdBjIQLJAnUBvGyIR6HzNUoUUvZ4xRMJ4wMkMDbFWS2leCtuKs+SFAaV10uZp4qneP7Z7I7dBpsvl0gxR+71hDANyGNgsNDY2YsiQIabPr1ixAuXl5bj77ruxZcsWDB8+HKWlpdi/f792TVFREYYMGdLiZ+9etoaKhw8fxrRp0/DnP//ZsT4po88o4Lo1QM4AoG438NQFwNfvploqgugQkIFkQYhhAj3A12OIpaM0T48hLeTCXMUmrwkja48h7jBgyqrYGMZ48HTmZvVACnjO7MaXMHv3uMOAcjxIkyZNwm9/+1vT5xctWoRZs2ZhxowZGDx4MJYuXYrMzEwsW7ZMu6aqqgrbtm1r8VNQUGD7/oFAAJMnT8bcuXNx9tlnW15XX19v+Glz5AwAZq4F+owGjtcCf5kMbPtHqqUiiHYPGUgWsDQOBPiGg7J4KTxuF9Sm2HZrBhm9FGpZONdAVMYhq3aDYFm9FEKfo43esaG61ge7oiiagWLlnVENUZ6xIKy5XEGOvbHbb9bhssxl/m62vZZBMBhEZWUlSkpKtMfcbjdKSkqwceNGx+srioJrr70W5513Hq655hrLaxcsWIDs7Gztp82G4rqcAEx/GRj0YyAcBP7+C+Ddx6gNAEE4gAwkC3hzcWSV0LtcLi0cZefxYc9zketJAdj1ZvdIsTc45Nab0ZNit6aqc0QBIrZ7k4RRNareth5DVu8er7cw+QfuwYMHEQ6HkZeXZ3g8Ly8P1dXVzOuUlJTgyiuvxGuvvYY+ffpoxtW7776LFStWYNWqVSgqKkJRURE++eSThGvMmzcPdXV12s+ePXvEFUs2aRnAT58Fim+I/r7mt8BrtwGRcGrlIoh2ijfVArRlWDwK0ed5KptYy6pdCIYlHnA83ZojfF4Ku4OdpfcTwNtBnDE5ndGI0+tg3aNKlx8WicDv9rSajPprbDunc3qQ7O5HH4cR11ZYu3ZtwsfHjh2LCKMefr8ffr9fpljJxe0BJv0P0L0QeP3/AR88ER1ye/mTgC8z1dIRRLuCPEgWBBnDDyLT0+0TltkMmiDjAScyDoW5+kqWjDxDVpnzmtgaO6oJ1YB1SNVYIcYavmp9A5u1sSPz/diKfZByc3Ph8XhQU2MsW6+pqUF+fn7S379DMGYOcOVywOMHdrwKPHMx0Hgw1VIRRLuiVQwk3nLdl156CYMGDUJ6ejqGDh2K1157zfC8oiiYP38+evfujYyMDJSUlOCLL76QLjfLBHqArzeOFhqymBivf09274wcY4ZnTVaDhvlz5Cmh5+7fY2PMsHqQdIaELL2FDGzG0KJtJ23G+5Fnb5zi8/kwcuRIrFu3TnssEolg3bp1GDNmTNLfv8NwxmRg2r+iY0q++zDaBuDQl6mWiiDaDUk3kFjKdfW89957+NnPfoaZM2fio48+wuTJkzF58mRs27ZNu+bhhx/GY489hqVLl2LTpk3o0qULSktLcfz4camyqwcgeym59eGhKApz4jdrzgdzpZ3kUnKDjHZGXIQ1LMQ/0459DAyboel1u+Byma+p/5xtvVIMY0HU99TLYC0n5/gSxtwrOxl5vHssNDQ04OOPP9Z+37VrF6qqqrB7924AQHl5OZ544gk888wz2L59O2644QY0NjZixowZUt6/03DSGGDmGqD7ScD3u6JG0u5NqZaKINoFSTeQWMp19Tz66KOYOHEibrvtNpx++um4//778YMf/AB//OMfAUSNjMWLF+Ouu+7CpZdeimHDhuHZZ5/F3r17Ezabc0JsFpucMm3986wGjX0Vm/3oEh4Zo+/Jl1wsK8QmYsTZh4bYGhyyGlyGHkN2XqkQb4hNZu4Va48q3hYMcjxIH374IcaNG6f9Xl5ejhEjRmD+/PkAgClTpmDhwoWYP38+ioqKUFVVhYqKihaJ2wQDuacC160FCkYAxw5Hw23UBoAgbEmqgSRSrrtx40bD9QBQWlqqXb9r1y5UV1cbrsnOzkZxcbGUEmA97FVsbAcc68gN/XuyGl2yQi5ROeV2EOcOA3KMBWEOVTK2IrCTEWDvMcS6N6x7rSiKrreSHIOGPwwox4M0fvx41NXVAQDq6uqgKNG5g8uXL9euKSsrwzfffINAIIBNmzahuLhYynt3Srr2Aq59FRh4IRAORNsAvPUItQEgCAuSaiCJlOtWV1dbXq/+l2dN0WZv3PO+GD0pAE9lnF1yMWPPIo5xKEHOMCCrd4a1rxKTjIyeM9Zkd9bcHoOcNnrzes7s9jocUbTzjDWp2v6eZOwWLznERqQAX5fo/LYxZdHf33wAWHUDEAqkVi6CaKN0iio20WZvXfxe9MhMQ0aaeSk3wN7HRn/ws1ax2ScX87Ui4OsxxLgm8zgUNp1T0WOItQFjdE3eDuKy8s10lXaSqtg0GRnz7GSF2IgU4fYApQ8CFy0CXB5g61+Bv/wEOHo41ZIRRJsjqQaSSLlufn6+5fXqf3nWFG329uhVI/DR/AswecSJltexeinUA87jdsEtrccQb0m+xAox1h5DjGNB4nsMWa/JGwaUE6oE2KsWWfs/se61fu9kVS2yhwHZDWyiHXDmTGDqS4A/C/jmXapwI4gEJNVAEinXHTNmjOF6AFizZo12ff/+/ZGfn2+4pr6+Hps2bTJd0+/3Iysry/AjE9YDLhYWYvdSyBoVwVOFxBwaYu0xxDkWhEVO5tAQ98gN+71hLcsPcnrOWMOAURlYDRrGe5KxWzx5kDoQp5wP/OJ1ILsvcPhL4Mnzga/fSbVUBNFmSHqIza5cd9q0aZg3b552/c0334yKigr87//+Lz7//HPcc889+PDDD1FWFo2bu1wu3HLLLXjggQfw8ssv45NPPsG0adNQUFCAyZMnJ1udhLB2LVb/+rYbNKpfk32Mh43x4eXpMRRhkpNZRk4vBcuarAn0rMYMT5I2836zDtT18nkL3S5olXRmsHs1WfPsKAepQ5I3GJi1DjhxFHDse+DZyUDVX1MtFUG0CZI+amTKlCk4cOAA5s+fj+rqahQVFRnKdXfv3g237i/ss88+Gy+88ALuuusu3HnnnTj11FOxatUqDBkyRLvm9ttvR2NjI2bPno3a2lqMHTsWFRUVSE9PT7Y6CeHNSbH7ax1gP9jV5+29FGyHejiiQI2iMLc3kKS33rNmG2LjDQ0xGjN2OkevYdQ7wug5Y/Tusbad0F/DHP6U1POKaId07QVc+wqw8nrgs1XAquujHqXxdwI23ysE0ZFplVlsZWVlmgconvXr17d47Morr8SVV15pup7L5cJ9992H++67T5aIjmBtcBgLXbHnudhNeFdHZLB6Umyr4ngq7bQJ73LCgC6XC163C6GIwtH/ie1gt5tCzxViYzQ22cOAjDKG2AwugH2/We9JvYGtKIplM02iHZKWAVzxNPDGAOCdRcCGR6I5SZMfB9JS84cnQaQa+vNAArx9kNhCbGx9Z5oYQyTMHgXd+9mH2Pi6NbMYH/wdxFlzr1hlZPcgsSeSM4YBmceC8CSSy+lRZcgPo0TtjonbDZTcDVy6BHB7gU//CTzzY6Ah8dQDgujokIEkAS+jMaOFw1gMBd4RGYzVXKyHelQG1rCLvPBVmuSDnXtvmBLoecNXrD2G5IwFicrIp7d9mT97fhjRzhlxNXDNSiA9G/j2A+DPE4B9W1MtFUG0OmQgSYC1wWEwxDbbDRCpYmM74BQlmmdkKqNOB/tEYMZmloxVbFE52Q527ko7iZ20WZtuxqrYGHsMSWq4CcS8f8z3JIcHyc7IJjoA/c8FrlsHnHAKUP8t8FQp8MnfUy0VQbQqZCBJQHbFkP4a++orPk9K9DXma+rDgHZ5JqyhIdYwYFROueFK1j5IImFAO4OGNSTGPg5FIAwoadixvrEpeZA6CbmnRo2kU0qA0DHgHzOBtfcAkXCqJSOIVoEMJAnwNvrjm/fFOGSVsVIqKqf5mqxDW6PXMPZBYvRSROVkNWh4ezWxrsfTgoExgV5W13SevXHLvSfdbhfUW4xlFAzRQcjoDvz8b8A5N0d/f+f3wF9/BhyvS6lYBNEakIEkAdbE4tgkdol5LsxJ2vomjOYHXCzPheUQ5k2o5tDb4mBXFEUz8ljnxbEP1JWndxNjzlkao6GpyciQg8Ts3RO4J1mGCRMdCLcH+NF9wGVPAN504IvXo523D+5MtWQEkVTIQJKA7Iqh6DWsDQ5ZE4H1ITbzA059Px9DpZTsMCDAFhriqrRj7THE493jNWgkzWLTQpVeDmOGueGmvNwrooMy7KfAjP8AWScCB/8LPHEe8N/VqZaKIJIGGUgSYC7J50iyZW3syBp2UXsMReW08CCF2Dwz+veUJSPAZtBw9WpiLMnnqRBj984wJtBr4bBojyHT9bTeTxzGDLPxKs/oIjowJ/4AmPUmUFgMBOqAF64E1t4LhEOplowgpEMGkgRYw2F84yz4QkMsvZVYPBU8XgrWHkOso0v0MloZNHwzyVgH6qqeMx7jVY7njLXHEM+oGv4ZdPK8mkQHp1seMP3fwOjZ0d/fWQT8ZTJwpMbyZQTR3iADSQLMPYYY82YA9nJ3Ee8MSxUbS54Ls4ya3nJyr/QGGbN3xs6YScLesOZesfYY4kugZx2HwqE3x8BjooPj9QMXPgJcsQzwdQW+fhv4v3HArrdTLRlBSIMMJAmof33b9RjimxjP17+HKezijYVybNeTKaM2Md5eRh/Dwa56RTxuF0MrAt4qNnk9hlhDYqw9hmIJ1ewNN6WGfRnHlxCdiCGXA7PXA70GAw01wLOXRMeUUCsAogNABpIEWHsM8SQrMw9ZVcMuTKEh+wNOLAzIKCPHDDorg4bP0GQNVQqEARmHy9r2QWLsMRSTUZ4xI3RPUhUboUftlzT854ASAd54AFj+Y+D7b1ItGUE4ggwkCegPF2k9hhjDdlyJuwxGF4+XgsWYia4pNzQU68zNnosjtdydt8eQTWiRtccQj7eQNy+O654kDxIRjy8TmPwn4NI/RUNuu98Dlo4Ftq6IutYJoh1CBpIE9Lk1VgdcKBkHe4TjYGdIsg0xHuqG9VjDgJI8ZyEenVkNTZ5QJYPnLBxRtHOBydhkCAXyGHGsVWw8Zf6s9yTRSXG5gBFTgevfaa5yqwdWzgb+/gvg6OFUS0cQ3JCBJAH9zLIgS4iNpUKMMUTCFRpqllOdv5VQxgh/yIV9LAi7QWP9OfKPbLHvB6SGKtkNBRYZozKwGzSqRzChjBGOvdZkZB2xwm4YkgeJsCSnP3Dta8CEuwCXB/j0n8CS0cC2f5A3iWhXkIEkAZfLxeRV4AqRMPdB4kjcZWjsGEuolthRmss7Y58ALdJ4MmzXY4hxZAvANg7FaCBxeGeYkrTl5V7x6M06/oYg4PECP7wNmLkGyB0INB6IepJemALU7km1dATBBBlIkmApgQ5p3hk54TCA84BjMOJ4Buoyz2LjGmdhX0If4sib0YczrQ72WKhSjjGj/4yZjC6GxG/ZoUpAf0/K65xOEBp9RgLXvw2Mnwe406JjSv50FrDxT0C4KdXSEYQlZCBJgq3BYRIrxFhCQwx9kHg6K7PLyBMGtPeciXiQ9HIklFGoQsy+4abLZQzBmq7JYmDzNAXlzL3iaT1BOUgEF14/MH5uLDcp2AC8Pg94/Gzgi7Wplo4gTCEDSRJsFWLsHgAWYyYSUbS+SzxeCrZKu1SFAdmr2Hi8ZnZycnlnGJpPakac223bq0kvJ4uBzbbX8ru7Ux8kwhG9BgEzKoAfLwYyT4jOc3v+cuD5n9LgW6JNQgaSJFhKoHmSlZmMGd1hatdrJyojeydtFi8F+0BdgWaEliM31LEg7MYMID+vyVJGDp3178vSgoFpr5mT/Dn0Zmw+SRCmuN3AqBnAjVuAMWWA2xsNuy0ZDbx8E1D3baolJAgNMpAkwdJELyjgnWE51AHO0SAWh3CQyzuTBC8Fg97BELvXzNBjSFLzSS9TIjn7XgP6hHeW/k88vZrMdVYUhatlAmviN0HYktEdKH0Q+NX7wKmlgBIGtjwDPPYDoGIe0HAg1RISBBlIsmDpCaQaEjyhIauwkP69eEaDsCQXsxlxfF4KrkOYwYPEbHwwtCOI7Q2LV4qlio09l8sgoyS92UKVvAY2W0iVIJjJPRWY+rdo6O2kc4BwAHj/T8Cjw4E1dwMN+1MtIdGJIQNJEiz9dnhCQz4GY0b/XrIqpWIJ1QwzyRhmu0XfT6RvkZwwoP46S4OGcbCsQUbLEBt76CoqI7tBw1VhyLDXAGNvLsbmkwTBzUljgGtfBa7+J9C7CGhqBN5dDCweCrz6GxpbQqQEMpAk4WU4PGKhITldi/VhIbZEYIbwFVcYkLXHUCxhmV1GllAlq3fGfm9EkpXZPkdODxLjftuux3A/NoX0BjZPXhN5kIgk4HIBp5wfHX571V+BE0cCoePAB08Aj40AVl4P7P881VISnQgykCTBNiKDfyaZVVUTT1gI0HsA7D0fbDKy9Rji0ZvFS8GrN0u1HV8YkKUkn32sTFRGHr3lyGhI8ufKvSIDiUgiLhcw6MLoANxpLwMDxkdzlLb+FfhTcbTq7au3qCs3kXTIQJIES9UQV4UYQ18cnrBQVEYWQ4G9Z5H+fc0OdkVRkhYa8jGEhfRysnnj5PQY4mnAqL+OSUZJVWx6g4vFA0khNqJVcbmAAT8Epv0LmPUGMOjHAFzRqrdnL4kOw/3oeSAUSLWkRAeFDCRJpDFUDfGEXZiaEXIc6tHrWEJDHGFAhi7V+s+Dr/mkVaiSfXQJwNpjiKdBZvLCgNZNPNm9Uiz3Y1MSwoAEkRROHAlc9TxwYyVw5iwgLROo2Qb861fA74cAbz0MNB5MtZREB4MMJEmw/cXOM5OMI+TCesCpoSZZYzz0HiQTvQ0jN7i8M/YjW1j1ZvHG8ewNl3eGuczf3qDh0ZulpQOPwWVckzxIRIo44WTgooXArZ8CJfcA3QqAxv3Amw8Cvz8j2kuJ8pQISZCBJAmW/IzYWBA5oyd4PUhMrQgi7GFAl8uljdEwO9jF81xYxoLI07uJIyTGZMxwjC6Jvi9HHySuZpYR0wR6LQzIELID2LxSbYWf/OQn6NGjB6644ooWz/Xr1w/Dhg1DUVERJkyYkALpCMdk5gBjbwVu+Ri47EmgYEQ0oXvLM9E8pecuB758g/KUCEeQgSSJNIaeQDyhIfWAC1oemGJ5LpYy8oZdmvVWdWsho+5xptAQQ2gxKOg5s/4secr8GfaawyMFxAzDoKVBzBEGbH5fRYE2jqaFjNr9yBcGtPoc2wo333wznn32WdPn33vvPVRVVeHNN99sRakI6XjSgGFXArPejPZSUvOUdq4F/vIT4PFzgI+eozwlQggykCTBNiKD3aBJ4/CkMCdpu+2NjxCnV8qug7j6uMftgpujAzRLqJI/90pO3yImbyHHWBBA33xSjt7GIb02HiTuRPK2byCNHz8e3bp1S7UYRGvhckV7KV31PHDTFqD4eiCtC7D/U+BfcyhPiRCCDCRJ8Iyf4OljE1GiQ2kTIeqlYGk+yV4ZZ32wi3op5IYW7fXmSqBn8BbyjAXRv691kj97XpP+szGTk+d+1F/ntMx/w4YNuPjiizFw4EAAwCuvvNLimiVLlqBfv35IT09HcXExNm/e7Og99bhcLvzwhz/EmWeeieeff17aukQbIWcAMOl3QPlnwI/uA7JObJmndGBHqqUk2gFJNZAOHz6MqVOnIisrC927d8fMmTPR0NBgef2NN96IgQMHIiMjA3379sVNN92Euro6w3Uul6vFz4svvphMVWxhGT/BNcZDf8CZHOwhTmOGbUQGp9Fl02NI2EvBYMQxG12SPWcsc/eaOBPJ2cahsBtdej3M9pt/Xpx9kj8LjY2NGD58OBYuXJjw+RUrVqC8vBx33303tmzZguHDh6O0tBT798fGThQVFWHIkCEtfvbu3Wv7/u+88w4qKyvx8ssv46GHHsLHH3/sSB+ijZLRHTjnZuDmrcDlTxnzlJaMBp67AvjyTcpTIkzxJnPxqVOnYt++fVizZg2ampowY8YMzJ49Gy+88ELC6/fu3Yu9e/di4cKFGDx4ML755htcf/312Lt3L/7+978brn366acxceJE7ffu3bsnUxVbYrO05Oa5ANEDzp9gp0IRMU8KS8NE5tCQTbVdUsKAnHrbGV3hiAL1zOdKgJYZBmQxsDmSqj1uF1yu6He/vYEtr00EC5MmTcKkSZNQX1+f8PlFixZh1qxZmDFjBgBg6dKlePXVV7Fs2TLMnTsXAFBVVSX8/ieeeCIAoHfv3rjwwguxZcsWDBs2LOG1gUAAgUAsf8VMZqIN40kDhl4BDLkc2P0+sPGPwOevAjvXRH96nQGcXQYMvTJ6LUE0kzQP0vbt21FRUYEnn3wSxcXFGDt2LP7whz/gxRdfNP0rb8iQIfjHP/6Biy++GCeffDLOO+88PPjgg/j3v/+NUChkuLZ79+7Iz8/XftLT05OlChPymxHaewB4k5VZWgeIhobMDBqe0SVRGRk8SCGxMKCZjHpDh63bdzIqDO0NbN5wpZ2cvCE2FgP7w68PY+1nNaiuO860ZjzBYBCVlZUoKSnRHnO73SgpKcHGjRuF1tTT2NiII0eOAAAaGhrwxhtv4IwzzjC9fsGCBcjOztZ+CgsLHctApIj4PKXRv4zlKa26AfjDD4APl1FCN6GRNANp48aN6N69O0aNGqU9VlJSArfbjU2bNjGvU1dXh6ysLHi9RhfKnDlzkJubi9GjR2PZsmWWs8ACgQDq6+sNP7JhS6rmGRURu8bcAyDoSbHszs3Xv8dOb81LwXqoc4zI4JeRoZklS6Wdl8XQ5AsD8oyq4W/rYGYgiYUqrfT+/dr/4rpnP8SmXYeY1ozn4MGDCIfDyMvLMzyel5eH6upq5nVKSkpw5ZVX4rXXXkOfPn0046qmpgZjx47F8OHDcdZZZ2HatGk488wzTdeZN28e6urqtJ89e/YI6UW0MXIGABc+DJQ391Pq0hOo3Q28civwaBHw/uNA8GiqpSRSTNJCbNXV1ejVq5fxzbxe5OTkMH/RHTx4EPfffz9mz55tePy+++7Deeedh8zMTKxevRq/+tWv0NDQgJtuuinhOgsWLMC9994rpggjLPkZTRwHnMvlgtftQiiimB/snCESvtAQp5fCtFKKfTwGu4yCoSEbQ1N/raWMurwrRVESjukQDlVK1NtuJIpwqNLKeA3xyZgs1q5dm/DxAQMGYOvWrczr+P1++P1+WWIRbY2MHtF+SqN/CWx5Fnj3UeDIXqBiLrBhYTT0Nno24OuSakmJFMD9LTZ37tyESdL6n88/d97JtL6+HhdddBEGDx6Me+65x/Dcb3/7W5xzzjkYMWIE7rjjDtx+++145JFHTNdqjb8C2Rr9yTVoYlVscowZ/XtJkzHE60mxr+biDg3ZJJLr+/p4OL17Zj2GuEOVDAY2b48qO4NG9l4DOu8eo97x5ObmwuPxoKamxvB4TU0N8vPzhdYkCFt8mcBZ1wM3VwE/Xgx0Pwk4ehBYew/w2Ajgg6eAcFOKhSRaG24D6de//jW2b99u+TNgwADk5+cbqk4AIBQK4fDhw7ZfdEeOHMHEiRPRrVs3rFy5Emlp1olzxcXF+Pbbbw3JlHr8fj+ysrIMP7Kxy3OJRBTtMOUekWHmnUnCAccTBoyuaRe+4pSRKb+HfV5cVEZr41VfDcgytFUf2rPrIM5cIcbjQeKdQWda5i/WcNO6g7gzD5LP58PIkSOxbt067bFIJIJ169ZhzJgxQmsSBDNePzBqBnDjFmDy0qih1FADvFoOLCkGtv2Tqt46Edwhtp49e6Jnz562140ZMwa1tbWorKzEyJEjAQBvvPEGIpEIiouLTV9XX1+P0tJS+P1+vPzyy0zJ11VVVejRo0dKXeGxw8PkMDKM3JBzaPL3LLI3PlQvBXeDQzO9k+GlkBwG5JZRZzw2hSNIT/O0XJMz1MSV5M8wqiYqp1y9ZY1DaWhowM6dO7WWH9988w2qqqqQk5ODvn37ory8HNOnT8eoUaMwevRoLF68GI2NjVpVG0EkHY8XKPpZtPKt8ulok8nDXwJ/nxHNT/rxIiB/aKqlJJJM0hIFTj/9dEycOBGzZs3C5s2b8e6776KsrAxXXXUVCgoKAADfffcdBg0apDWBq6+vxwUXXIDGxkY89dRTqK+vR3V1NaqrqxEOhwEA//73v/Hkk09i27Zt2LlzJx5//HE89NBDuPHGG5OlChN2B5z+cVlVQ9zJygxJtuJeCptEYN6wkGVHcrlGl2hCNcDiOZMTYlMUJTaslnFv7Awa3j5aLFVsTQxhwA8//BAjRozAuHHjAAB33nknRowYgfnz5wMApkyZgoULF2L+/PkoKipCVVUVKioqWiRuE0TS8fqA4l9GQ2/j5wG+rsC3m4H/+yFQcScQOJJqCYkkktQ+SM8//zzKyspw/vnnw+124/LLL8djjz2mPd/U1IQdO3bg6NFotcCWLVu0CrdTTjnFsNauXbvQr18/pKWlYcmSJbj11luhKApOOeUUrW9KKrE7PIwGkhyDhj9Jm6EPUoTPS2FXli+cWJyEGXR2xoyP0WvG0mOIX0YbY0ZnOLEP6bUxsEV7NTF1Yjdfc/z48VAUBfX19cjOztYqVfWUlZWhrKyMSS6CSDr+bsD4ucAPpgEV84DPVgHvLwG2vwxc/iTQ96xUS0gkgaQaSDk5OaZNIYHoVG19eb76xWnFxIkTDQ0i2wp2JdD6RGDe/B77A453nAVLrx1eg0aOjEyVUoIDdU2NmRCfZwaIetiC4QhDl2q5e821pm34kzeXi6EVAed+E0S7IqsA+Okz0WG4r5QDtd8AT0+KepfG/Qbg+A4h2j60m5JI0w4465Jqr5stERjgCQ2xegCaZQwxdGuWNCKDe3QJV5k/p4wmesdCleyHup2csbEgcjxnesOJN1xpKyOngR208u5xhgEJol1ySglw/TvAsCmAEonOefvHTKBJrEEq0TahbzFJ2OXiiFT32HVCDvEm7XqsPSkictrmXnHOYtMnFpt5E4WTi23CgKyhq6icNp4zTkPTPlSpS/KXlR/GOyePo4O4j/GeJIh2S3oWcNmfgUuXAG4v8Ok/gecuB4KNqZaMkAQZSJKIHR42PYtEvBR2FWLcSbvmicC8csZ6DNlVsfH1QQLsq69kDdTlDYdF5bSpWlRDldyJ5NbJ7h63C27Jo0bYw4DsSf7kQSI6DSOuBq7+J+DPAr55B3hxKo0r6SDQt5gkYoeHPA+SXc4H98R4GyMuzDlyQ//e5sYM3+gSQ48hW68U58EuKQxoXFOSjDZ7E5ORw4izGYkiOqrGKslf5A8Bgmj3DPghcPU/orPdvnoT+FcZ9UvqAJCBJAm7fA9eTwoA+GzLtAUPONOxIDoDibGiy+exPti5R5cwzaDjMzY1Ge2MV0ad9e9tv9+MMnptDOyISBjQznPGGwZkaWYZ4ZaTIDoEhaOjg3BdHuCTvwGblqZaIsIh9C0mCbvwlZCXwqY3juwDTqzSjrGKjTORPCqn9WgQ3tCQrTHD452xMbpi4atUhgHles68NgZ2OKJAfYpVb4LoUJw8ASh9MPrv1/8f8O2HCS97eeteVGzb14qCESLQt5gk7IwZ3pALID80ZDsWRKBXk20Hcc5GkW63C6qdIstzJjtUCdhXncUabkoOA4p4kGzDvqw5TWwyRuWkEBvRSSm+PtqBWwkDK38JBI8anv6+MYib/voRrn9ui9ZWhWibkIEkCdsDLsR3qOuvtR02yhgasu0H1Lye28U2tDUqI5vnTCT3yt5zJmkcisDe2BpdguFPu1wurhAbo9HFa2hGlOhswXhEmlkSRIfD5QIu+l+gWwFwaGd04K2OhkBI+3eE8pTaNPQtJglbY0bzUgiUktvl4nCOyLCvahIwZiQlKwPsngpZDTd5R5dEr2VswsjbzNLGayZUaSfpnvTa5IeFBEK0BNEhyegBXPrH6L83/x/w5RuplYcQggwkSdgbM2ryqvwDjnv4rUmPIZF+QLKH1UblZDO6WEeDsBozXOFPmz5I2vgSSeNQeL1mBhkl3ZN2+WFqbpiLwwNJEB2WU84Hzrwu+u9VvwKOHm5xCTmQ2jZkIEmCNeTC552xSS4O8XkVDAdcghCJSCIw64gMHr2tDJpIRNHaETB7kJgToGWG2MS8M3aGJo9nRvY9qb8vEq2pH3TM2i2eIDo0P7ofOOFU4Mg+4JVbySIC2tVnQAaSJOwrhvgO9ei1NuXpglPto3ImMpD4m/zZ5bnwhgH1759QRp0BwW18SJTR3isl2nAzCWFASfek/rpEXikRA5sgOjS+zGi3bbc3OuC2ynw2aYdEUYDvvwa2rojOrnt8LPD6namWipmkDqvtTKgHXFDSxHggdsA1mVQ68IZd9AdXMBxBBjyJZeTKF7LrB8TfY8hq5pfeaGIPX9mN3BAIA6r7bbI3vOHKNDtvoVAYUO496XK54HW7EIooCeUUCQMSRIfnxB8AP5wLvPkA8Mot8F+apz2loP14U5ho2A/s/Sj2890WoHG/8Rq3J/Fr2yBkIEnCZ9O1ODYxnj8Hybyay0GILeEBJx4Os5WRQ2+fRWhIpJTctqmjujciFYay9iYJIVqtk7ad3hwewzSPG6FIOHGITTM0yYNEEAbGlQPVW4Ht/0buy1fjIvcsvBo5K9VSiRNuAg5/BezfDhz4HKj+JGoQ1X/X8lp3GtB7OFBYDPQtBvqMbn15BSEDSRL2CdUixoddl+pYzgcLbnfMA5A4B4m/H5DqGTKVUSg0ZL6mYao9b/WebaiSw4izMz44e1TFjOEIFEVpkcPD27MIsO8gHrsn+UKLx5oSG5siBhdBdArcHuCyJ4EVU+HeuRZLfI/hivBbcO/yAaee1za9KpEI0FATDZHVfhP978H/Avs/j/430pTgRS4g9zSgYETzT1HUOErLaF3ZJUEGkiRUwydRWAiIhcm4KsRYO0BzNp8MRZSEoSFtEjtXFZt17kwwJFB9ZRFi0+vMmghs9zkGw/xGnF34irdvkSqjokQ7UscbLc5ktL5/+O5J8/3WQpVe8iARRAvS0oGfrUD9f+5Bxgd/wgTPVuCvVwDp3YF+Y6PGRM/TgZ4DgawCwNclOXKEgkCgHjhWGw1/HamOhsYaaqI/R6qBum+jRlHouIU+XaKy9jod6DU4ahD1Hgb4uyVH7hRABpIk7A7hkEC3ZrvhoKJeqeNNkYRyhoQ8SHZ6i/fvSaS3yLR4bT2bfCExGeXorTd8msIKvHF/UArpre5NK+mtNdwkDxJBJMbjRf05d+LSd/thhqcC13TdDNfxWuDzV6I/etKzo80mM7oDvq6Av2v0v950wOVu/nFF/6soQDgAhAJAOKj773Eg0AAcr4v+BOqBpqOJJEuMywNk9wF6nAT06AfknBw1iHoOArILgQ7+/zoZSJJQ/wpXPQDxfWBEKsRsD2HJYReReXFJlTHRIezE4DIducF/sFuF2BRF4Q5XGgykiHkCvdQQm8h+WxjEIn8EEERnZJfSG/NDM3D5zc+hy6FtwDfvAjWfAfs/Aw59CTQ1xoyaZOHrBnTtCXTNi/10a/5vVgHQo3/UOPKkJU+GNg4ZSJLwGjwAEXjiYspaOIMj/MA8ZFUkfJUwxCYwzsIuxOZERosQm8xQZVCg+soqxCYyckNv+CTy+ARFxqG4zT9HQLffHPekVUhV5H4kiM6GITXA7QX6jIr+qChK1NNTvw84shc4Xg8EG6KeoOCRaIgMCqBEdD9K1LPk9QEev/Hf/m5AelbUI+XX/ddDx78d9AlJQn/ABcMRpKfFeQAE/lr32YXYBLwzVh4fkXCYzy7E5sgrZRFiE9HZNNTkJAxo3YqANfxpLKE3N7pEEuht9ZbkMeRtjkkQRAJcrqgRk54N9BqUamk6NfRNJgm7MQy8Y0Gi17IZHzxrWofYRGS0a3Ao4KWwrGITr4ozDbFF+D1nViX0+iaK0oxXBwnV5lVsAvttFWITGKdDEATRViEDSRJqCT1gk8Aq4gGw64QsYixYVLHJOtSBWGiIy3NmcQg7M+IiCWfQBQU8SFbePf1ny5PXZGUQBwU8Zz6bvXG23xafYwdP3CQIonNA32QSscrvEQqR2M0QUxN3ueZzWXWpFgm5yK/es8zvEWg8GV9Cb7qmpBJ6VWe3K2o4s8tpFVrk3xur+zG6poCBbdE5XST8SRAE0VYhA0ki1vkZAqEhC09KOKJoM/9khcRExoKw5veI9dpJFL4S9yBF1zTPa+IasWJRQi+arGydH6aGKuVVGAp5kCyr2Pj3miA6Mx1s0EiHg77JJMJSQi8aGjJbDxALu1jm90gdh8LvpbAqoRcKVcaV0McjEhqSncsFWBsfsVCl/DJ/WQa2SBiQIDob9H9H+4EMJIlYhtg4J6dHr7UvqQbkldCLNbNka0UgonfiEnqR5pjWJfQioSGrEnqRqjjAOqQqorfV/RiOKFDtJrF70kpv+lohCKL9Q99kErHy+Ij0A2JJVuZd09IDINBrxy7EFuv/JMdzFutZxH6oqyX00TXNjU2+KjZzvUX2Wn+91ZwzrjAgoweSJ6RqdU/GQpX0tUIQRPuHvskkYhXSEOkozZK063KhRdduljUTha+cDJY171LN7zmzKqEXaW1gkNMir0lokLDVXnPoDFiH2BwNO04ko+4xvko7lio2CiIQBNH+IQNJIlbeFLHQEEOyMmdJNYsHgK9CzLqEvknA6LIqoReRMfr+9v17ZJXQi+x1VEa5evus7kfBHDaWBpkUYiMIoiNA32QSscrvERlnYXWoiyQrA9b5PVpoiCscZl1CL5KwbFVC7zx8JSfEZpXfEwzxewsB6xJ6kVBl7H4032tArGWCVfUeNYokCDYS/VFJtB3IQJIIS0hMKMQmySNllNHcAyBSxRZd06i3oiia0cQ3IsP8EE5GiM2p56zFegJeM8AmxCZ52LE+5GuYDeVgTZEwIEF0Njj+dyNSTFK/yQ4fPoypU6ciKysL3bt3x8yZM9HQ0GD5mvHjx8Plchl+rr/+esM1u3fvxkUXXYTMzEz06tULt912G0KhUDJVYcKqhD7k5ICz9Mzw/d9mVULvJAwYldO4piGRXFIJvejEeNn5PSz5ZtwyWhnYInPyJN+PBhkl6k0QnRXyH7VtkjqsdurUqdi3bx/WrFmDpqYmzJgxA7Nnz8YLL7xg+bpZs2bhvvvu037PzMzU/h0Oh3HRRRchPz8f7733Hvbt24dp06YhLS0NDz30UNJ0YcE6xCZSzWXlURBrymcZYlMrpQRkBFp6fPRyc4WGLErog4J6W06hb9bbLxK+sqhiE90bq/0WkdEqoZpnXwxrWoTY/ORBIghTXNQJqd2QNANp+/btqKiowAcffIBRo0YBAP7whz/gwgsvxMKFC1FQUGD62szMTOTn5yd8bvXq1fjss8+wdu1a5OXloaioCPfffz/uuOMO3HPPPfD5fEnRhwWWPBdZITZtPc4DTna3b6sp9MZeTXKm0KvGTKr1lr0eYNPWQctr4pcx2JxArw+lCcuYBL0JojOhkN+o3ZC0b7KNGzeie/fumnEEACUlJXC73di0aZPla59//nnk5uZiyJAhmDdvHo4ePWpYd+jQocjLy9MeKy0tRX19PT799NOE6wUCAdTX1xt+kgHLFHqhkRsJwhlBgQMTsC6hF02yNTMWVC+FcCsCi47k3B4kqy7VDoxXSxmFjTiLBHqBMCDQMoHe8V5b3ZOcehMEQbRFkvZNVl1djV69ehke83q9yMnJQXV1tenrfv7zn+O5557Dm2++iXnz5uEvf/kLrr76asO6euMIgPa72boLFixAdna29lNYWCiqliXWITH+w8OrWy++2kF43hdDd27eNb0meusr2PgSge1Di6LVe7L0tqzmEjReWUJsPHrrc4HMvHu8xgxLiK0teJB+8pOfoEePHrjiiitaPPf73/8eZ5xxBgYPHoybbrqJKomIVoVCbO0H7m+yuXPntkiijv/5/PPPhQWaPXs2SktLMXToUEydOhXPPvssVq5ciS+//FJ4zXnz5qGurk772bNnj/BaVsRCGnK6VKsegEQl9Op6oh6ARPk9AQEZ9XLGH8IxGcU8KYnye5zLmKgsX7zbd6K9DggacT6L6j2Rz1L/GcXvd1I/xzaQpH3zzTfj2WefbfH4gQMH8Mc//hGVlZX45JNPUFlZiffffz8FEhIE0dbhzkH69a9/jWuvvdbymgEDBiA/Px/79+83PB4KhXD48GHT/KJEFBcXAwB27tyJk08+Gfn5+di8ebPhmpqaGgAwXdfv98Pv9zO/pyhWITYnYRwgGsrxemLPCXuQGEJssvJ7RL09LOErWSX0+plkIvk9oQTDb5sEjQ/rqkXxHlVAy/0WHqjLImMb8CCNHz8e69evT/hcKBTC8ePHAQBNTU0tPN0E0VqQ87Jtw/1N1rNnTwwaNMjyx+fzYcyYMaitrUVlZaX22jfeeAORSEQzelioqqoCAPTu3RsAMGbMGHzyyScG42vNmjXIysrC4MGDedWRivXsNP4qJCsPgGgVklWXavUxWfk9Ip4Zo4xyGiYC5vk9opV2Vl2qnctoHqLl2RuXy6ULV8bpLbg3VoUDrPfkhg0bcPHFF2PgwIEAgFdeeaXFNUuWLEG/fv2Qnp6O4uLiFn8UidKzZ0/85je/Qd++fVFQUICSkhKcfPLJUtYmCBaoD1L7IWl/6p1++umYOHEiZs2ahc2bN+Pdd99FWVkZrrrqKq2C7bvvvsOgQYO0L78vv/wS999/PyorK/H111/j5ZdfxrRp03Duuedi2LBhAIALLrgAgwcPxjXXXIOtW7fi9ddfx1133YU5c+a0ipfICqsSehGvgnUJvWiei3kJfexglzOF3mlOU6IQm6gRZ5bfo/8cRPJ7ZHXmNqwpcQCumd6iSdpm+Wb6x+xkbGxsxPDhw7Fw4cKEz69YsQLl5eW4++67sWXLFgwfPhylpaWGP4qKioowZMiQFj979+61fO/vv/8er7zyCr7++mt89913eO+997BhwwbL1xAE0TlJah+k559/HmVlZTj//PPhdrtx+eWX47HHHtOeb2pqwo4dO7QqNZ/Ph7Vr12Lx4sVobGxEYWEhLr/8ctx1113aazweD1555RXccMMNGDNmDLp06YLp06cb+ialChYPgOwSev5Qk4UHwGloyCSMI5qDJKviDDD37uk/B5GhrYlK6EXGygCsnjP+GXTHmsw9kLLyzfSP2a05adIkTJo0ybSadNGiRZg1axZmzJgBAFi6dCleffVVLFu2DHPnzgUQ8yzzsnbtWpxyyinIyckBAFx00UV4//33ce655ya8PhAIIBAIaL8nqwKW6KRQiK1Nk1QDKScnx7IpZL9+/QwVJIWFhXjrrbds1z3ppJPw2muvSZFRJmb5PYqiOJohFoqEzT0A3Adm6+X3CK9nJaNqxEkLscXGjLgFBsEC0TwmY8VYEnKQRJOqvWpeXGK9ZY5sEb0n9QSDQVRWVmLevHnaY263GyUlJdi4caPwuiqFhYV47733cPz4caSlpWH9+vWYPXu26fULFizAvffe6/h9CYJof6Q+m7IDYRZq0h/0wmEXk/we/gOOoRWBcBgnropNSyzm93oAckvJ7UJNomHA6BqJ83t49bYuoZfbOkB2SwdA/J7Uc/DgQYTD4YStPKzag8RTUlKCK6+8Eq+99hr69OmjGVdnnXUWLrzwQowYMQLDhg3DySefjEsuucR0ndaqgCUIou2RVA9SZ8OshF6fSyMrqVp45IZFCb36GE8iuVFGkyRtURktGiZyy2hSQh9wmKysypQBj+F3gH/khtnnqPdAcsvpTZxz5nyvLcaXtIEqtrVr15o+9+CDD+LBBx9kWqe1KmCJzgl11W7bpP6brANhFmITHbkRvd7EA+Bw5Eb7CLElKqGXW54uLqNVCb3cEJth6K/oZ2mawybnfjSs6aCTdm5uLjwej9a6Q6WmpoarPQhBtFWoiK39QAaSROy8PbwjNwB744P3r3XLRn+OD02TcRaiXgqJ1Vx2vZp4q7msSuhFR26YldAbWhFI2m/xz9F+XpwTD5LP58PIkSOxbt067bFIJIJ169ZhzJgxwusSBEHwQiE2iZiV0IuO3ABYSujF8lwSl9BLzu8RHbnBUEIvqreZ8SHi9fC63WgKmyfQyxvZIu6B1PZbkgfSa1nFxqZ3Q0MDdu7ciYaGBgDAN998g6qqKuTk5KBv374oLy/H9OnTMWrUKIwePVqralWr2giio0CNIts2ZCBJxKyEvkkwFwcw93zI9qREH2v2AIjm95jKKD4OxWwKvTRPiqARF31N4hJ6Ua9UUjyQNl6pVHggP/zwQ0yYMEH7/c4778Sdd96J6dOnY/ny5ZgyZQoOHDiA+fPno7q6GkVFRaioqGiRuE0QBJFMyECSiFl+j6jXA2i9EvpwRNHmvYkbXXLye6xL6B2GryTlIAFWJfTJ6Scl5IGUfE/G7kdxD9L48eOhKArq6+uRnZ2Nuro6ZGVlGa4pKytDWVkZl2wE0R7Q/69IDqS2DeUgSSTNJHwlWikF6Lpzh+I9H6LVV4llFB25kQwZ9QaRWfWVaLsEWTIC5nqL7rdZOEyrOBP0ckmVUdM53OI50co4guhMUOVa+4G+ySTi80RLvc1CLk68FGYNDrlDJN7EXgrRkRtWawqHcXQHrJorEy+nrC7VouEwvZyy9tvucxTJk/J55MroN7kfRYf+EkRnI0EBMdFGoW8yiZh7Z8Sre2IHnPEvdqf5PQGTPCmAb+RGVEYT74zDeXEAEIjTW7Rbs2bMtJBR3Hi1229RI87MyyUUojVZ02kY0MzgApyV+RNERyeis5AUytJu09A3mURsPQBOPEhxnhTRkRvmnhSxkRsGGSXp7XK5zD1noiM3GPJ7ePF5PSZrOjPiZOVyGdeUY7Sr6+lz1gBnHkiC6EyQTdR+IANJIrZeCoEZVeoBFpAcIpHlUQBiept5pUT09pt6PgS9M2YyStDb3OMjx4PkyANp6zkTM+KicsXWdOKBJIjORIQspHYDfZNJxG+Wk+JgRpXZAefUAxBRjB2gRQ/MqAzWuVeyDnYnQ3/NP0cxbw+gM+Ik5yDJNOJMDWKHHsh4OZ14IAmiM6E3kCgfqW1DBpJENEOhFT0A/D2LYtfrD/aYoeBp8RpxGeXqbRj6K3iwy6qKM5MRcNJPKnGFmOheA/ZJ2vxz8nQVhqFE9w99pRCEFXqjKEwWUpuGvs0kog0GbWEoRA88kcPDLMlWNIxjGLKqWzNmKIgkAluX0Isk7caSgWPGgmHoL/e8uNZL0hY1uuyMOJlJ2qJGl8vlSihnwIGXlCA6E/rE7EQNV4m2A32bScQ0h8RBt+ZY2C5xNRf36Am3C2qvwUQeABFjprXympyM3DDNaRIcuWGQUXKIrXXyw5wkp7eU04mMBNGZCOsMpERDw4m2A32bScSsL46j/B6byiZeL4WZB8DJyA37Pkjiyel6vZ2M3JDdqym6ZuKQqnACtCdxfpiT8JX9PSnXQBLZa4LoTER0/yuGyIPUpiEDSSL6wyiRG1XoMLKr5nJyaEryAMhumGguo/jIDXvvjLgRJ8vjY5ofJtnbY5RRjt5OPJAE0ZmIGM4G8iC1ZejbTCL+5iRtRTG6TmV4AOJDJE6SixNV2zmSsVnvFjIKJivrX2M4hB2M3LDzpDiR0azHEO/IDbMO4kEnXi67DuKSvFKqB1JERoLoTAR0RRihCHmQ2jL0bSYRgwcggedDbqWUXK+UlJEbZqXkknKvZIzcSHYJvZOhv/r8sIAkvc3zw+Tek5SDRBBsJGqPQbRN6NtMImYl0E4qfMxGO8Q8HwKVTQkOOGcymlXvSdA7oYwSq7lk6J3AEwfwGzQulyuhnEmpYpN8TzqpWCSIzoTeQKIcpLYNfZtJxOtxQ80dbkpwaDobNSLPO5MoSdvZyA27MI6DPJewnFwuv004TJYnxenIjUTVdlIablKSNkG0Ccx6uxFtDzKQJJOwPF3GyA2pM8TkhkjMOog78VJYJWk7MRSS0UE80V4DYiM3Eub3SNhrs9Ciow7iCQxDCrERhDUBkz+oiLYHfZtJJrF3RoIHQNLIDbM1nXl7zDqIJ0dGJ+sB8RViDvKaLIw40ZEb0vU27f8ko2pRnyclbsQRRGci0BT7/+ZYMGxxJZFq6NtMMol64ziqQrI4hPXPc61pkUPSFsahmK2pyehA5xZrSg5fOZHRsKYsvdvB3hBEZ+KozihqOB5KoSSEHfRtJplEVUOBpuby9DQH1VeGsQ6x/8F4S8mBxAec6vb1S5zFpuntyIiL6arqLbKePj8s8d6I690Uark3IjICiY1XJ2smyg8LRxRdKwIBvRPkhznVmyA6C/XHmrR/HwmQgdSWoW8zySSqbHJifFhVnEXXlBN2Ud2+IkacqnP8yA3ZRpe2noCMUTlb5uM4Mj4k77VeRtkGdiIvV1ROgf2WbGATRGeiTm8gHW+yuJJINWQgSSaxV8G5J6XJJIzD21HaIKP+YA87kFG3nr6DeFCK3novhbNDOJHeQQl6yzTirCrjZBmaTg2kRAZ20KHeBNFZ0BtIFGJr29C3mWQSDTDVvBQiHgDLv9adHcKBRF4KgUM4UQdxRVGk6B2QqHeiajsneidKTnccYrOUUdb9E5XR43bBKynnjEJsBMFGrc5AqicPUpuGvs0kkzB8pSVACxgfSTiMEue5OE/a1csZiihQW3z4BfROeAg3hwGFE6Ct9sbJGBhJnyNgvd+OEvIT3o9ODU1dflgTJWkTBAs19ce1f+8/EkihJIQd9G0mGdkeH2uPgrNQkyyjK5GBZMiTkpQ7I8tzJlvvhPlContjYdA4kVGWR1O/JuUgEQQ/e2uPaf+urjtucSWRapJqIB0+fBhTp05FVlYWunfvjpkzZ6KhocH0+q+//houlyvhz0svvaRdl+j5F198MZmqMJOozN9JArTsAzMqo9w1PW4XPG5jwrK+14ez1gH6KrZkGIbRf6c72hs5lXYGGSUlfut1VvPDjjsI2QFm9ySF2AjCjuNNYRxsCGq/7yMDqU3jTebiU6dOxb59+7BmzRo0NTVhxowZmD17Nl544YWE1xcWFmLfvn2Gx/785z/jkUcewaRJkwyPP/3005g4caL2e/fu3aXLL0KiyqaggwMuccVQEkJNDsrdgWglWziitPAg+TxusYaJSTiE0xK1THCSg9TcVDNxIrkzGRPq7cCIA6JhzzSPS16lnUS9CaIzsOtgIwDA5YrmbNYda8LRYAiZvqQexYQgSduV7du3o6KiAh988AFGjRoFAPjDH/6ACy+8EAsXLkRBQUGL13g8HuTn5xseW7lyJX7605+ia9euhse7d+/e4tq2QMIKMQnVXMHmCjGXy6WrGGob1VyqnMebIto6TirYjDImqIpzGBrSVxg6qmJLkKTtxBjWy5jYwHYe/kzzuKXtTeIqNgqxEYQZn+2tBwCM7peDnfsbcKgxiC/3N2Jon+wUS0YkIml/7m3cuBHdu3fXjCMAKCkpgdvtxqZNm5jWqKysRFVVFWbOnNniuTlz5iA3NxejR4/GsmXLDOXl8QQCAdTX1xt+koVlSMxBNRcQMxYch9gS5feoYUDhg91oLCSj3N1xiC1O71A4gnDEQcNEq3BYG9E7UQdxaTlIEvPDCKIzsG1vHQBgcEEWTsvrBgD4vDp55xHhjKR5kKqrq9GrVy/jm3m9yMnJQXV1NdMaTz31FE4//XScffbZhsfvu+8+nHfeecjMzMTq1avxq1/9Cg0NDbjpppsSrrNgwQLce++9Yopwkrg8Xdz40B84wXAEPq9bWp5LUkro4w9hh8ZM4nCYHOPDcSJ5MisMEyZ+86+pdhCPKLr8MGm5XPJyrwiiM7Dxy0MAgBF9e0BRgI1fHcKO6iMploowg/vbbO7cuaaJ1OrP559/7liwY8eO4YUXXkjoPfrtb3+Lc845ByNGjMAdd9yB22+/HY888ojpWvPmzUNdXZ32s2fPHsfymWHlARDJGUpL5AGQbCg4ldGwZtwhLHMmmdPcq5ZGXGxtWTPonJa7J6Wtg4newmX+ko04gugM1NQfx+fVR+ByAWNPycUZBVkAgI/21KZWMMIUbg/Sr3/9a1x77bWW1wwYMAD5+fnYv3+/4fFQKITDhw8z5Q79/e9/x9GjRzFt2jTba4uLi3H//fcjEAjA7/e3eN7v9yd8PBmkxYVxFEVxlPOhVoglSoCWOs7CcQK0y7Cm0wMzLWGFmKzkYqOXK83jEkok14+VUfPDZMsYldP5msebIto6TqoqASDNK3/ECkF0dP5V9R0AoKiwO3K6+HDWgBMAAFv31KIxEEIXPyVqtzW4d6Rnz57o2bOn7XVjxoxBbW0tKisrMXLkSADAG2+8gUgkguLiYtvXP/XUU7jkkkuY3quqqgo9evRoNSPICr9JLk70OXGvwtFgOEH4yqGXIlH4SjDJtqXeDmVMk5/n0sKD5LBnkf51wXAEfq9H3t5IHF/i93pwBKEEBrb4ei1lpBAbQZgRjih4cXM0cnHlyEIAQGFOJk7snoHvao9h89eHMWFgL6sliBSQtG+z008/HRMnTsSsWbOwefNmvPvuuygrK8NVV12lVbB99913GDRoEDZv3mx47c6dO7FhwwZcd911Ldb997//jSeffBLbtm3Dzp078fjjj+Ohhx7CjTfemCxVuFAPiOPNf6UbDSTRg7h5zeZDyMnw0ujrPAYZ9XI6Pdjj9Xasc5OcflJ6WVrK6ExnvZyO9U4zfo7GRHKHexNK4t7QLDaCMOXlrd/hq4ONyEr34uLhvbXHzz0t6gCo+IQtL5doXZL6bfb8889j0KBBOP/883HhhRdi7Nix+POf/6w939TUhB07duDo0aOG1y1btgx9+vTBBRdc0GLNtLQ0LFmyBGPGjEFRURH+7//+D4sWLcLdd9+dTFWYyfCph7Cx3N3lioVkuNeMM2icDC81rqcv03bmAdD0bl7HaUl+vM6ABL1N9saJ4aHOClaNN3l6N8sYdm5gx/SOk1F0rxPtDYXYCCIhtUeDWPBaNC/3lz88Gd3S07TnVGPpP9v2GTyyRNsgqUHPnJwc06aQANCvX7+E5fkPPfQQHnrooYSvmThxoqFBZFsjvcVf6zHDw+USM5DS4w5Np56P9DgvhWFNhyG2mIzODC5V54DBg+TQoEmL93KpHikxnV0uF9K9HhxrCkvbG827F+ctBMQTv9X9DsTvjVMPZML8MPIgEYRKKBzBb17aiv1HAhjQswt+cU5/w/PF/U9Ar25+7D8SwH+27cOlRSemSFIiEfRtJhnNmAkawxmiFUNA7EA6ph7sDoe2psd5ABRFcSyneggfi9fboYxBXYjJaRVbujfuc5SwN5rekvcm/nP06sa5cK9pqreYYRjb65bhz7YyrHbPnj0YP348Bg8ejGHDhhlGFQHAT37yE/To0QNXXHFFiiQkOjpN4Qhu/8fHWLt9P3xeNxZPKdK8uSoetwtTi08CACx7Z5dlPz+i9Wkb32YdiPhQk9PkZwDIaOH5kBUiSRDGcRoaitfbYRgwKqckvX0mXi4HeTPx4San+T2xz1GOJw5oGWJzmsOWoXn35FUYysbr9WLx4sX47LPPsHr1atxyyy1obGzUnr/55pvx7LPPplBCoiOzr+4Ypi/bjH9u+Q5uF/DYVSMwrE/3hNdefVZf+LxubP22Du/uPNS6ghKWkIEkGdmhJqClx8fpYaSF2OKSdp3I2TIMKKeaK7qmJL3Nkt2l7o3T0KIaDovT2YGBnazwp/o5hsIRhBwmksumd+/eKCoqAgDk5+cjNzcXhw8f1p4fP348unXrliLpiI7KsWAYT779FS5YtAHvfXkIXXwePDl9FCYOMW9tc0JXP6YW9wUAPPjads1jTqSetvFt1oEwCzUl5RB2WM2lyajPc3EYYpPl7XG7XVq4Jj58Jaq3WfjTidfD38Lj4zQ/zMTb4+j+kVthqMrYFFYQCkeEPJAbNmzAlClTAADZ2dlYtWpVi2uWLFmCfv36IT09HcXFxS2qXVmprKxEOBxGYWGh0OsJwo5dBxux8PUdGPfwG3jg1e04EghhRN/u+FfZOThvUJ7t628671R0S/di+756/HXz7laQmGCBOlNJpkWoScIhHB8Sc3poqiGXQCjSnH/kPJHcNNTkKLToQTAUkZYA3SL8KSN8FW8QOwypZsTnm0mRMXEOktMQLRA1DPXDf1kN7MbGRgwZMgQVFRUJn1+xYgXKy8uxdOlSFBcXY/HixSgtLcWOHTu0EUZFRUUIhUItXrt69Wqtlcjhw4cxbdo0PPHEE8z6EYQdR443YeueOry98wDe/u9BfLavXnuuT48MlE04BVeOKmTOG+zRxYdbS07Dfa98hgWvbccPT+uJwpzMZIlPMEIGkmTiq6+cln3rXyurzD9dd8AFQhHHZd9RGeWWkgNRz0fdseiaiqI41js+1CRjb7T9DsXvjVNPXHwrAnFDMz0uZyjo2ANpDH+qIQGv2wUvo4E0adIknHPOOVi4cGHC5xctWoRZs2ZhxowZAIClS5fi1VdfxbJlyzB37lwA0QaxVgQCAUyePBlz585tMc+RlUAggEAgoP2ezEHXRNsiElFQc+Q4vv3+GPYcPoo9h4/hvzVH8OneOnx9yNiaxu2K9jS6/Ad9MHFIvmFEFCvTz+6Him3V2Pz1YZT/rQovzDpLaB1CHmQgSSbdxAPgrFIqvorNYYWY7nXHgmFdxZnzQ/hYXJ6LDL2PN4XRFFagFng4LXdvUWknScbomk7nxSX2xDmpDovlnBk9caJ6q+HPqHcvjEizA0lWBVswGERlZSXmzZune083SkpKsHHjRqY1FEXBtddei/POOw/XXHONsCytOeia4ENRFIQjCkLqT3MuXCisIBSJNP83+u9jwTCOBcM4GgzjaFMYx4Kh6L+bH6871oTDjUEcbgzi+6Ox/zaFzfOBTuyegbMGnIBxp+Zi7Km5yO3qbJKDx+3CwiuH48LH3sYHX3+P+1/5DPddOsTRmoQzyECSTItQk5QqNrlJtl6PG2keF5rCCo6HwlLypMz1lrFmRNMZkFC9l4TwZ4sQm4TwZySiyA2xSQoDqmuqBpJquMpK0D548CDC4TDy8oy5G3l5ecyDsN99912sWLECw4YN0/Kb/vKXv2Do0KEAgJKSEmzduhWNjY3o06cPXnrpJYwZM6bFOvPmzUN5ebn2e319PQoLC3Hu796AJ70Lt25O02+dloE7f3+nrxdfQEHUq6MaRK2RzOxxu1DQPR2FPTJR2CMT/Xt2wRkFWTijIBs5XXzS36/vCZlYPKUI1z37IZ7d+A1OzeuGa846Sfr7EGyQgSQZfUKsvr9QW0qyBaK9cZrCoajx4TD5OVky6sN2MivttIaJEvT2m3hnZIU/ZYzwiA9/yqmsVMOfzjt9J4OxY8ciEomYPr927VqmdcwGXR8+2gR3OCgsH5E81J5haR53839dSE/zICPNg0yfBxk+DzJ93uh/mx/LzkhDjy4+5DT/9Mj04YSuPvTs6mcOG8uiZHAeyn90Ghat+S/m/2sbstK91EAyRZCBJBn1MIoo0XwUNSyW7uCv9fS4sEtsTWeH5pFAKOp6VteTEGKTKWO6ropN9X7I6Eh+rIWMbUfv9Lj8HlVvKXvTbGypYVBZeivaY3IOktzcXHg8HtTU1Bger6mpQX6+ebl0a7Jqztno2i1L6LVid6/u9U4XcCiB0/d38nJPc56bZgS53fB4XNH8t+bHRL8f2hI3nncK9h85jufe341f/20r0tM8KD2jbdz7nQkykCRjbHAYwdFAtMqmi89BOCOu0V9jIPrfTJ/49mX4Yj2BjjYfwl388sKAjc16O5MxpndMRgfrxRkzjUH1c5QQYmsKR0vem42QLoJ668Ofx5rCMRkl6K0aW0eDEu5Jnd5qqMPJXuvx+XwYOXIk1q1bh8mTJwMAIpEI1q1bh7KyMinv4ZRTenVDVhb1USKSg8vlwn2XDEHD8RBWVe3Fr57fgt9dPgxXjOyTatE6FZQiL5k0jwtu3QDTo03OjRl/nPFxTD3gHBg0eq/U0aAMGY0hNtWTIkXGUEQ71J0YM/HhT9VgEDVm9GsGmiLaXgNApqS9OSbBmNFkDKkGktx78piAgd3Q0ICPP/5Y+33Xrl2oqqrC7t3RHjDl5eV44okn8Mwzz2D79u244YYb0NjYqFW1EURHx92ctH3FyD4IRxT85qWteGLDVzSOpBUhD5JkXK5ovPtoc+hK8yA5OjBjoaZIRJFidOlDJEdlGFxx4SsZHiTNoAnqPEgSDnU1/KnJKMvQbPbsed0ux7P3jgSi+WGNEoyZ+DCgzHtSnx/GI+OHH36ICRMmaL+ridDTp0/H8uXLMWXKFBw4cADz589HdXU1ioqKUFFR0SJxmyA6Ml6PGw9fPgzZGWl46p1dePC17fjyQAPuu3RIm5l72JEhAykJZDQbSLIOOH2o6XgoVjUkKyQmJWQX5+WSYdDo9ZZhzLQIf8qWUeflcpIHYQh/SjBm9HujKHIMbL3eIt7C8ePHo66uDtnZ2airq0NWVst8nrKysjYTUiOIVOF2u3DXRacjPysdD/1nO178YA++PNCAx68e6bi1AGENmaBJQO9NOSYhzyVROEz/uAh+XU+gY1LCV3FeimY546dXc8mom0J/rMn556gPf+o9Z45kTLjXzv7u0PZb5zlzJmPMAxk1ktAsp9x7MiON/t4iiGTgcrkw69wBWDb9THTze/HB19/jx4+9g/e/ouG2yYQMpCSgz8dplGp8RLQwTqbPAzdjG3vLNUNhSWEcYw6SzLCdLC+XGv5U5ZThQYqFmuSE7ADj3kiRMa2llwswetT414zpLcPLRRCEPRMG9cLKOedgQM8uqK4/jp8/8T5+v+a/NOA2SZCBlAT01VKqQeOo+koXcokZXM7+WteHXWRWNYUiCo4GQ1oHWilhu1BYioyGNZsisc/SSfgqUaWdxL2RYWBnJMHANoYW5XjOCIKw55ReXfHvsrG4YmQfRBTg0XVf4GdPvI89h4/av5jgggykJJDoL3YpoaZgWEo1V1RGnZcr4DyMo++pc7gx1kBPStVZUC+jw/CVLiSmNxaE1/PK3WvAGP48KsFzluh+dHr/6MOfsu5JgiDY6OL3YuGVw7F4ShG6+DzYvOswShdvwF/e/wYR8iZJgwykJKAPP8gpJU9Uki8pjCOpx5C+K7NqIPk8bkfDFg2hpiY5HiR9+FNu+Eqf9C0xxNYkodIugc6O86QS6E0GEkG0LpNHnIjXbh6H0f1ycDQYxm9XbcPUJzeRN0kSZCAlAfXwaQyGpPzFruZ2HA3GqrmcGDMGGQNyPAAul0t7/YEj0ennTnNx1PUaAzpPikO9VWOo4XhISuK3qmNjMKTl4jiXsXm/dXo7MeLUvQ5FFNQeDTY/5mxvNBmDIc275/SeJAiCn5NO6IIXZ5+Fey4ejIw0DzZ+dQilizfg/976Ek1h83E7hD1kICWBrPQ0AED9sZCUHCR1vVBEwaFGOQdcVkZUnvrjTVoOidPcGVXO6vrjctbLaP4cjzdphqZT74yqd82R49pjMvam/pj+c3QqY0u9nex3N79XGw+h7Y1DY0YvI4XYCCK1uN0uXHtOf1TcMg7F/aPepAX/+RwXPvo2Nn5JlW6ikIGUBNRDuO5Yk67njAMvhc8DT3NCbXXdccfrAcaDXUaZPxDTW5XRaS6OUUY5YRzNiGuW0eVyNrRV1flIICSlOaZexvpjTVLCV263C139xr2RZmAfC0kL2xEE4YyTTuiCv846Cw9fMQw5XXz4Yn8DfvbE+7jlxY+wv/64/QKEATKQkoB6wB1sCOjmVDkLX2WlRw+ffXVJ8M5ICl+pesdklOXlCkmrlGopo9dRU0d1PUUB9quhRUl61+kMJMcenzi9pRnYOg+S0/0mCMI5brcLPx1ViDd+/UNcfVZfuFzAqqq9GL9wPR5d+4X2/ythDxlISUA1PtS/1gEJB3vcmk7ze1SDK+oBkBW+ipNRpidFUq+deC+XjGR3teW/uqYsY+ZgQ1CKgQ203BtpBvYxeQY2QRDy6J7pwwOTh+Jfc85BUWF3HA2G8fu1/8X4R9bjxc27qXcSA2QgJYGYt+cYgGgIx+Og50x0TdUDEF1TlsGlz0FyHhIz6i3rUA+EIvi+ObnYaZl/y8/Rudcjfk0nDRiBmN7qeoAMY9O4N9LCn8dDlINEEG2YYX26Y+WvzsYffjYChTkZ2H8kgLn//ASTHt2ANZ/V0PBbC8hASgLZzQdcTX005CKjuid+TaeHkbre941BBJuHjTr1KrSQ0aHehuRiSWG77Ey5Xi4AyI7zSjn1cmXHeXtkGNjxazq9J9X16nTJ6WQgEUTbxOVy4eLhBVhb/kPcddHpyM5Iw39rGjDr2Q9x8R/fIUPJBDKQkoDqAWgIyPvLWg0NqWvKqjhTDzdAQtguTm+nxozb7UI3v9oyQW4OklZxJmE8hqp38mR0bsS1lFFOqDIcUaQZ2ARBJBe/14Prxg3Ahtsm4IbxJyPT58G27+ox69kP8eM/vIPVn1aToaSDDKQkoB5wKt0z00yuFF8z2+Ga3dKNh1lGmgc+B00dAfkyArGDXcXpZ6ke7CrZGT5H6wHy9ztexu4Z8u8fp2tmpHng1Xm13K6W9xRBEG2T7Mw03DFxEN654zzNUPp0bz1m/6USpYs34G8f7NHmanZmyEBKAvEHXH5WuoQ1jQea0zXT0zyG8vb87HRH1VxAkvTWHewuF9Czm1/aegCQn+1sPUD+3sTLmCfl/onbm2xna7pcLoPeuV398Do0sAmCaF1yuvg0Q+lX409GF58H/61pwO3/+Bhjf/cGHl37BQ41BFItZsqgb7QkEH9gSjng0uUecIBRzrwsCYZCvPEh+WDP7ep3NLokul4SZIzbmzyHexPviZGy18kwunRyypCRIIjUkNPFh9snDsJ7887HnRcOQkF2Og42BPH7tf/FmP95Azf+9SO8u/Ngp5vzRj7xJNDVF00uVkO5cjwAcQdcNzkHnDoWJBky9pLsQUqGESdFRp3eGWkeLW9KFK/HjS4+j5Yv1EuG3skw2nVr9pJwPxIEkVqyM9Iw+9yTMeOc/vjPtmo89fZX2PptHf69dS/+vXUvCnMycOXIQkwuOhF9T8hMtbhJJ2kepAcffBBnn302MjMz0b17d6bXKIqC+fPno3fv3sjIyEBJSQm++OILwzWHDx/G1KlTkZWVhe7du2PmzJloaGhIggbiuN0uw0Esw0uRrTuM0tPcLUImTteULSMgx6uQdBklrykjVNliTckyyghVxq8pI1RJEETbIM3jxiXDC7Bqzjn4d9lYXH1WX3Tze7Hn8DEsWvNfnPvIm/jxH97Gn9bvxNcHG1MtbtJImoEUDAZx5ZVX4oYbbmB+zcMPP4zHHnsMS5cuxaZNm9ClSxeUlpbi+PFYw8WpU6fi008/xZo1a/DKK69gw4YNmD17djJUcIT+UHMacgGMf/H36ibnENYbMDI8CvGejl4SDmHZMqanuaWHhgx7LcHbAxjvGRkGkn6N7Iw0x6FKwLgfMmQkCKJt4XK5MLRPNh6YPBSb/18J/vfK4Tj75BPgdgHbvqvHwxU7MH7hevzwkTcx758f4+Wte7WoREcgaSG2e++9FwCwfPlypusVRcHixYtx11134dJLLwUAPPvss8jLy8OqVatw1VVXYfv27aioqMAHH3yAUaNGAQD+8Ic/4MILL8TChQtRUFCQFF1EGD+wJ3bUHAEg59D8Qd8e2r/1DQSdMP60Xnjtk2oAkgykbulwuwA1TC3jEB4/sCf+8MZOAMAJXZxXnLlcLow5+QS8/mkNADmhynGn5mr/ltWddvxpvfDR7loAcsKAZxRkaf+uPdrkeD0AmDCwF/5e+S0AOTISBNF2yfB5cPnIPrh8ZB8cbAhg9ac1+M+2fXjvy0P45tBRfHPoKP66eQ8A4MTuGTi9dzcMys9Cnx4Z6JXlR25XP/xeD7IyvOidnZFibdhoMzlIu3btQnV1NUpKSrTHsrOzUVxcjI0bN+Kqq67Cxo0b0b17d804AoCSkhK43W5s2rQJP/nJTxKuHQgEEAjErNr6+vrkKdLMeYN64f82fAVAzl/XPq8bPo8bwXDEcadmlfNP76X9u4eEknwAGD+wF974fL+UtQCgqDBmGEKC1wwAzhoQM5BkhCpP6BozgGV49gDgR4Pz8Pu1/wUgx8B2u13onZ2uzWKTwQ8H9tT+3ZXGjBBEpyG3qx8/L+6Lnxf3xZHjTfjg68N4d+chvPflIWzfV4/vao/hu9pjWLu95Vkw7tRc/GVmcQqk5qfNfKtVVzd7MvLyDI/n5eVpz1VXV6NXr16G571eL3JycrRrErFgwQLNo9VanNkvB5cWFSAjzdMi70WUlXPOxh3/+Bh3TBwkZb0Tuvrxq/En47N99RjVL0fKmv9z2VDc8PwWXDmyj5T1PG4XFlw2FCs+2INpY06SsuZVZ/bFhv8ewBkF2dIMmudmFuOh17bjnovPkLLe6b274aej+iAYiuDE7nL+2vrLzGLcuqIKN51/qpT1uvq9+PWPTsP7uw5hwsBe9i8gCKLD0S09DecNysN5g6Jnd93RJmyvrsfn++qxo6YB1XXHsP9IAIebpzZ0z3QeCWgtXApH28y5c+fid7/7neU127dvx6BBsQN8+fLluOWWW1BbW2v5uvfeew/nnHMO9u7di969e2uP//SnP4XL5cKKFSvw0EMP4ZlnnsGOHTsMr+3Vqxfuvfde03ynRB6kwsJC1NXVISsrK+FrCIJILvX19cjOzm5X/x+2R5kJoiPRmv8PcnmQfv3rX+Paa6+1vGbAgAFCguTn5wMAampqDAZSTU0NioqKtGv27ze67EKhEA4fPqy9PhF+vx9+P1XZEARBEATBBpeB1LNnT/Ts2dP+QgH69++P/Px8rFu3TjOI6uvrsWnTJs0zNGbMGNTW1qKyshIjR44EALzxxhuIRCIoLm4fMU2CIAiCINo+SSvz3717N6qqqrB7926Ew2FUVVWhqqrK0LNo0KBBWLlyJYBocustt9yCBx54AC+//DI++eQTTJs2DQUFBZg8eTIA4PTTT8fEiRMxa9YsbN68Ge+++y7Kyspw1VVXtakKNoIgCIIg2jdJS9KeP38+nnnmGe33ESNGAADefPNNjB8/HgCwY8cO1NXVadfcfvvtaGxsxOzZs1FbW4uxY8eioqIC6emxKrDnn38eZWVlOP/88+F2u3H55ZfjscceS5YaBEEQBEF0QriStDsKlGhJEKmnPf5/2B5lJoiORGv+P0jDagmCIAiCIOIgA4kgCIIgCCIOMpAIgiAIgiDiIAOJIAiCIAgiDjKQCIIgCIIg4iADiSAIgiAIIg4ykAiCIAiCIOIgA4kgCIIgCCIOMpAIgiAIgiDiSNqokbaM2jy8vr4+xZIQROdF/f+vPTXzp+8Ogkgtrfm90SkNpCNHjgAACgsLUywJQRBHjhxBdnZ2qsVg4tChQwDou4MgUs2hQ4eS/r3RKQ2kgoIC7NmzB926dYPL5TK9rr6+HoWFhdizZw/NXXIIfZZy6Eifo6IoOHLkCAoKClItCjM5OTkAgN27dzv6cj7zzDPxwQcfOLom0fPxj1n9nujfsu4vFv3srmPRL/4xO33XrVvXrvWL/7296Zfocd57tK6uDn379tX+X0wmndJAcrvd6NOnD/P1WVlZ7f4waivQZymHjvI5thfPkYrbHU3bzM7OdvT5ezwe29fbXZPo+fjHrH43+zfg/P5i0c/uOhb94h9j1be96hf/e3vTL9Hjoveo+v9iMqEkbYIgiFZmzpw5jq9J9Hz8Y1a/m/1bBqzrWV3Hol/8Y6z6OiVV+sX/3t70S/R4qu5RFlxKe8qQbGXq6+uRnZ2Nurq6DvHXeiqhz1IO9Dmmlo7++ZN+7ZuOrh/QujqSB8kCv9+Pu+++G36/P9WitHvos5QDfY6ppaN//qRf+6aj6we0ro7kQSIIgiAIgoiDPEgEQRAEQRBxkIFEEARBEAQRBxlIBEEQBEEQcZCBZMGSJUvQr18/pKeno7i4GJs3b061SCllw4YNuPjii1FQUACXy4VVq1YZnlcUBfPnz0fv3r2RkZGBkpISfPHFF4ZrDh8+jKlTpyIrKwvdu3fHzJkz0dDQYLjm448/xrhx45Ceno7CwkI8/PDDyVat1ViwYAHOPPNMdOvWDb169cLkyZOxY8cOwzXHjx/HnDlzcMIJJ6Br1664/PLLUVNTY7hm9+7duOiii5CZmYlevXrhtttuQygUMlyzfv16/OAHP4Df78cpp5yC5cuXJ1s9giCIDgMZSCasWLEC5eXluPvuu7FlyxYMHz4cpaWl2L9/f6pFSxmNjY0YPnw4lixZkvD5hx9+GI899hiWLl2KTZs2oUuXLigtLcXx48e1a6ZOnYpPP/0Ua9aswSuvvIINGzZg9uzZ2vP19fW44IILcNJJJ6GyshKPPPII7rnnHvz5z39Oun6twVtvvYU5c+bg/fffx5o1a9DU1IQLLrgAjY2N2jW33nor/v3vf+Oll17CW2+9hb179+Kyyy7Tng+Hw7jooosQDAbx3nvv4ZlnnsHy5csxf/587Zpdu3bhoosuwoQJE1BVVYVbbrkF1113HV5//fVW1bcz069fPwwbNgxFRUWYMGFCqsVJCkePHsVJJ52E3/zmN6kWRSq1tbUYNWoUioqKMGTIEDzxxBOpFkk6e/bswfjx4zF48GAMGzYML730UqpFks5PfvIT9OjRA1dccYXYAgqRkNGjRytz5szRfg+Hw0pBQYGyYMGCFErVdgCgrFy5Uvs9Eoko+fn5yiOPPKI9Vltbq/j9fuWvf/2roiiK8tlnnykAlA8++EC75j//+Y/icrmU7777TlEURfnTn/6k9OjRQwkEAto1d9xxhzJw4MAka5Qa9u/frwBQ3nrrLUVRop9ZWlqa8tJLL2nXbN++XQGgbNy4UVEURXnttdcUt9utVFdXa9c8/vjjSlZWlva53X777coZZ5xheK8pU6YopaWlyVaJaOakk05Sjhw5kmoxksqdd96p/PSnP1V+/etfp1oUqYRCIaWxsVFRFEVpaGhQ+vXrpxw8eDDFUsll7969ykcffaQoiqLs27dPKSgoUBoaGlIrlGTefPNN5eWXX1Yuv/xyodeTBykBwWAQlZWVKCkp0R5zu90oKSnBxo0bUyhZ22XXrl2orq42fGbZ2dkoLi7WPrONGzeie/fuGDVqlHZNSUkJ3G43Nm3apF1z7rnnwufzadeUlpZix44d+P7771tJm9ajrq4OQGzGV2VlJZqamgyf46BBg9C3b1/D5zh06FDk5eVp15SWlqK+vh6ffvqpdo1+DfUaun8JWXzxxRf4/PPPMWnSpFSLIh2Px4PMzEwAQCAQgKIorTI9vjXp3bs3ioqKAAD5+fnIzc3F4cOHUyuUZMaPH49u3boJv54MpAQcPHgQ4XDYcAABQF5eHqqrq1MkVdtG/VysPrPq6mr06tXL8LzX60VOTo7hmkRr6N+joxCJRHDLLbfgnHPOwZAhQwBEdfT5fOjevbvh2vjP0e4zMrumvr4ex44dS4Y67Qq7fDrAeQ6iy+XCD3/4Q5x55pl4/vnnJUnORmvo95vf/AYLFiyQJDEfraFfbW0thg8fjj59+uC2225Dbm6uJOnZaA0dVSorKxEOh1FYWOhQanZaUz9RyEAiiBQxZ84cbNu2DS+++GKqRel02OXTseQgqvkp8T979+4FALzzzjuorKzEyy+/jIceeggff/xxq+gGJF+/f/3rXzjttNNw2mmntZZKBlpj/7p3746tW7di165deOGFF1oUSiSb1tARiBbOTJs2rdXzPFtLP0dIDfh1EAKBgOLxeAw5NoqiKNOmTVMuueSS1AjVxkBcDtKXX36pANBi2irnnnuuctNNNymKoihPPfWU0r17d8PzTU1NisfjUf75z38qiqIo11xzjXLppZcarnnjjTcUAMrhw4el65Eq5syZo/Tp00f56quvDI+vW7dOAaB8//33hsf79u2rLFq0SFEURfntb3+rDB8+3PD8V199pQBQtmzZoiiKoowbN065+eabDdcsW7ZMycrKkqpHRyD+XlYU+TmIv/nNb5Snn37agZTiJEO/uXPnKn369FFOOukk5YQTTlCysrKUe++9V6bYzLTG/t1www2GvMDWJlk6Hj9+XBk3bpzy7LPPyhJViGTu4Ztvvkk5SDLx+XwYOXIk1q1bpz0WiUSwbt06jBkzJoWStV369++P/Px8w2dWX1+PTZs2aZ/ZmDFjUFtbi8rKSu2aN954A5FIBMXFxdo1GzZsQFNTk3bNmjVrMHDgQPTo0aOVtEkeiqKgrKwMK1euxBtvvIH+/fsbnh85ciTS0tIMn+OOHTuwe/duw+f4ySefGP6SWrNmDbKysjB48GDtGv0a6jV0/9ojIwexsbERR44cAQA0NDTgjTfewBlnnJEUeXmRod+CBQuwZ88efP3111i4cCFmzZplqKJMJTL0q6mp0favrq4OGzZswMCBA5MirwgydFQUBddeey3OO+88XHPNNckSVYi2kgdMBpIJ5eXleOKJJ/DMM89g+/btuOGGG9DY2IgZM2akWrSU0dDQgKqqKlRVVQGIJmZXVVVh9+7dcLlcuOWWW/DAAw/g5ZdfxieffIJp06ahoKAAkydPBgCcfvrpmDhxImbNmoXNmzfj3XffRVlZGa666ioUFBQAAH7+85/D5/Nh5syZ+PTTT7FixQo8+uijKC8vT5HWcpkzZw6ee+45vPDCC+jWrRuqq6tRXV2t5QVlZ2dj5syZKC8vx5tvvonKykrMmDEDY8aMwVlnnQUAuOCCCzB48GBcc8012Lp1K15//XXcddddmDNnjjbA8frrr8dXX32F22+/HZ9//jn+9Kc/4W9/+xtuvfXWlOneXpCRg1hTU4OxY8di+PDhOOusszBt2jSceeaZyRCXm46eYylDv2+++Qbjxo3D8OHDMW7cONx4440YOnRoMsQVQoaO7777LlasWIFVq1ahqKgIRUVF+OSTT5IhLjey7tGSkhJceeWVeO2119CnTx9u48rLdXUnYsqUKThw4ADmz5+P6upqFBUVoaKiosWGdSY+/PBDQz8X1WiZPn06li9fjttvvx2NjY2YPXs2amtrMXbsWFRUVCA9PV17zfPPP4+ysjKcf/75cLvduPzyy/HYY49pz2dnZ2P16tWYM2cORo4cidzcXMyfP9/QK6k98/jjjwOIVlfoefrpp3HttdcCAH7/+99rn00gEEBpaSn+9Kc/add6PB688soruOGGGzBmzBh06dIF06dPx3333add079/f7z66qu49dZb8eijj6JPnz548sknUVpamnQdCWDAgAHYunVrqsVoFdT7tiMxevRo7Q/BjsrYsWMRiURSLUZSWbt2raPXk4FkQVlZGcrKylItRpth/PjxlqWuLpcL9913n+GgjicnJwcvvPCC5fsMGzYMb7/9trCcbRmrz08lPT0dS5YsMU1eBICTTjoJr732muU648ePx0cffcQtY2cnNzcXHo+nRVJuTU0N8vPzUySVPEi/9k9H17Gt6EchNoIgCB0dPQeR9Gv/dHQd24p+5EEiCKLT0dDQgJ07d2q/q/l0OTk56Nu3L8rLyzF9+nSMGjUKo0ePxuLFi9tVDiLp1771Azq+ju1CP6HaN4IgiHbMm2++qQBo8TN9+nTtmj/84Q9K3759FZ/Pp4wePVp5//33UycwJ6Rf+9ZPUTq+ju1BP5eidLD+6QRBEARBEA6hHCSCIAiCIIg4yEAiCIIgCIKIgwwkgiAIgiCIOMhAIgiCIAiCiIMMJIIgCIIgiDjIQCIIgiAIgoiDDCSCIAiCIIg4yEAiCIIgCIKIgwwkgiAIgiCIOMhAIgiCIAiCiIMMJIIgCIIgiDjIQCIIgiAIgoiDDCSCIAiCIIg4/j+21tI30qj5hgAAAABJRU5ErkJggg==", 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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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:45.337992Z", "iopub.status.busy": "2025-09-18T18:31:45.337786Z", "iopub.status.idle": "2025-09-18T18:31:48.005233Z", "shell.execute_reply": "2025-09-18T18:31:48.004697Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimal SNR ^(1/2): 44.96261510900949\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Detected SNR against data h1 / ^(1/2): 44.06637073762679\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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:48.007072Z", "iopub.status.busy": "2025-09-18T18:31:48.006890Z", "iopub.status.idle": "2025-09-18T18:31:48.010264Z", "shell.execute_reply": "2025-09-18T18:31:48.009700Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:48.011930Z", "iopub.status.busy": "2025-09-18T18:31:48.011763Z", "iopub.status.idle": "2025-09-18T18:31:48.169222Z", "shell.execute_reply": "2025-09-18T18:31:48.168593Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:48.171513Z", "iopub.status.busy": "2025-09-18T18:31:48.171297Z", "iopub.status.idle": "2025-09-18T18:31:48.463162Z", "shell.execute_reply": "2025-09-18T18:31:48.462460Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:48.465147Z", "iopub.status.busy": "2025-09-18T18:31:48.464960Z", "iopub.status.idle": "2025-09-18T18:31:59.963469Z", "shell.execute_reply": "2025-09-18T18:31:59.962832Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mpmath module not installed. Defaulting to low precision...\n", "[[ 4.94652789e-04 -1.34367819e-13 1.19037111e-08]\n", " [-1.34368053e-13 1.46157988e-13 -1.45604730e-08]\n", " [ 1.19037377e-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": { "execution": { "iopub.execute_input": "2025-09-18T18:31:59.965289Z", "iopub.status.busy": "2025-09-18T18:31:59.965101Z", "iopub.status.idle": "2025-09-18T18:32:00.248548Z", "shell.execute_reply": "2025-09-18T18:32:00.248027Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "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": { "execution": { "iopub.execute_input": "2025-09-18T18:32:00.250449Z", "iopub.status.busy": "2025-09-18T18:32:00.250265Z", "iopub.status.idle": "2025-09-18T18:32:00.737759Z", "shell.execute_reply": "2025-09-18T18:32:00.736894Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:32:00.740013Z", "iopub.status.busy": "2025-09-18T18:32:00.739793Z", "iopub.status.idle": "2025-09-18T18:32:00.854579Z", "shell.execute_reply": "2025-09-18T18:32:00.853998Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:32:00.856431Z", "iopub.status.busy": "2025-09-18T18:32:00.856260Z", "iopub.status.idle": "2025-09-18T18:32:00.860808Z", "shell.execute_reply": "2025-09-18T18:32:00.860318Z" } }, "outputs": [ { "data": { "text/plain": [ "(array([4.94652788e-04, 1.95551222e-03, 3.77427245e-14]),\n", " array([[ 1.00000000e+00, 8.14843018e-06, 9.24576534e-11],\n", " [-3.17855070e-11, -7.44586141e-06, 1.00000000e+00],\n", " [-8.14844843e-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": { "execution": { "iopub.execute_input": "2025-09-18T18:32:00.862460Z", "iopub.status.busy": "2025-09-18T18:32:00.862298Z", "iopub.status.idle": "2025-09-18T18:32:01.793180Z", "shell.execute_reply": "2025-09-18T18:32:01.792622Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.12.11/x64/lib/python3.12/site-packages/lisatools/detector.py:631: 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", "/opt/hostedtoolcache/Python/3.12.11/x64/lib/python3.12/site-packages/lisatools/detector.py:633: RuntimeWarning: divide by zero encountered in power\n", " Sa_d = Sa_a * (2.0 * np.pi * frq) ** (-4.0)\n", "/opt/hostedtoolcache/Python/3.12.11/x64/lib/python3.12/site-packages/lisatools/detector.py:635: RuntimeWarning: invalid value encountered in multiply\n", " Sa_nu = Sa_d * (2.0 * np.pi * frq / C_SI) ** 2\n", "/opt/hostedtoolcache/Python/3.12.11/x64/lib/python3.12/site-packages/lisatools/detector.py:640: RuntimeWarning: divide by zero encountered in divide\n", " Soms_d = Soms_d_in * (1.0 + (2.0e-3 / f) ** 4)\n", "/opt/hostedtoolcache/Python/3.12.11/x64/lib/python3.12/site-packages/lisatools/detector.py:642: RuntimeWarning: invalid value encountered in multiply\n", " Soms_nu = Soms_d * (2.0 * np.pi * frq / C_SI) ** 2\n", "/opt/hostedtoolcache/Python/3.12.11/x64/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": [ "[1.49875455 1.49875455 1.49875455 ... 1.49875455 1.49875455 1.49875455]\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": { "execution": { "iopub.execute_input": "2025-09-18T18:32:01.795034Z", "iopub.status.busy": "2025-09-18T18:32:01.794853Z", "iopub.status.idle": "2025-09-18T18:32:01.797442Z", "shell.execute_reply": "2025-09-18T18:32:01.797004Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:32:01.799046Z", "iopub.status.busy": "2025-09-18T18:32:01.798891Z", "iopub.status.idle": "2025-09-18T18:32:10.130362Z", "shell.execute_reply": "2025-09-18T18:32:10.129778Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[2.02172681e+03 1.59046154e+04 1.94227074e-01] [ 1.00005281e+00 -7.75106971e-10 1.72300801e-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": { "execution": { "iopub.execute_input": "2025-09-18T18:32:10.132202Z", "iopub.status.busy": "2025-09-18T18:32:10.132022Z", "iopub.status.idle": "2025-09-18T18:32:10.134829Z", "shell.execute_reply": "2025-09-18T18:32:10.134325Z" } }, "outputs": [], "source": [ "from lisatools.datacontainer import DataResidualArray" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "execution": { "iopub.execute_input": "2025-09-18T18:32:10.136435Z", "iopub.status.busy": "2025-09-18T18:32:10.136273Z", "iopub.status.idle": "2025-09-18T18:32:10.903309Z", "shell.execute_reply": "2025-09-18T18:32:10.902737Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:32:10.905229Z", "iopub.status.busy": "2025-09-18T18:32:10.905050Z", "iopub.status.idle": "2025-09-18T18:32:11.652894Z", "shell.execute_reply": "2025-09-18T18:32:11.652255Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:32:11.654801Z", "iopub.status.busy": "2025-09-18T18:32:11.654606Z", "iopub.status.idle": "2025-09-18T18:32:12.026242Z", "shell.execute_reply": "2025-09-18T18:32:12.025638Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:32:12.028196Z", "iopub.status.busy": "2025-09-18T18:32:12.028008Z", "iopub.status.idle": "2025-09-18T18:32:13.302547Z", "shell.execute_reply": "2025-09-18T18:32:13.301990Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.12.11/x64/lib/python3.12/site-packages/lisatools/sensitivity.py:747: 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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BZ0Z6/WxWlu3M4O01B8yOJOJSKmo8lMVi4YWRMUSG+vPj8Xz+/Nl2syOJiAfoGB3Gn25oB8Bzi3ex7Ui2yYlEXEdFjQcLD/Lj5TtisVrggw2H+TT5iNmRRMQDjO3VjPj2kRSXObh//ibyizTSK95BRY2Hu7pFXSYOMDave3zhNg6eyDc5kYi4O4vFwgu3daFBWAA/ZuYz7VON9Ip3UFHjBe4f0Iq4ZuHkFZUyaf4miksdZkcSETdXJ8iP2aPsWC3w8cbDLNx02OxIIldMRY0X8LFZmX2HnbBavmw5nM3MpbvNjiQiHqBHi7pMHtgGgCcWbiMlUyO94tlU1HiJ6Nq1eOE2Y/O611f+yIrdGSYnEhFPMHFAK3o0Dye/uIxJ8zdSVFpmdiSRy6aixosM6hjF2J5NAZjywWYycgpNTiQi7s5mtTD7Djt1An3ZdiSH55dopFc8l4oaL/PYDe1p3yCUE/nFPLBAm9eJyKU1CKvFC7fFAPCvVSks35VuciKRy6OixssE+NqYOyaWWr421uw/wWvf7jc7koh4gPgOkYy/phkAUz7cQrpGesUDqajxQi3rBfP0zR0BmPX1HpIOZpmcSEQ8wdQh7egYHUpWfjEPvK+RXvE8Kmq81G3dGnGzPZoyh5P75yeTXVBidiQRcXP+PjbmjI4l0M/G2h9P8OqKfWZHEqkUFTVeymKx8OzwTjStG8iRU6eZ+skWbV4nIpfUol4wz9zcCYCXlu3hhwMa6RXPoaLGi4UE+DJndCy+NgtfbUvjv98fMjuSiHiAW7s1YkRsQxxOmDx/E6cKis2OJFIhKmq8XJdGtXn0emPzume+2MGutByTE4mIJ3h6eCea1Q3kaHYhj3ykkV7xDCpqaoB7rmnOtW3rUVTqYOJ7mzhdrMW1ROTigv19mDumK742C0t3pPOfdQfNjiRySSpqagCr1cLMkTHUD/FnX0YeT3+hzetE5NI6NQzjsSHtAXjmy53sOKqRXnFvKmpqiLrB/sweZcdigfnrU/l881GzI4mIBxh/TTMGtqtPcamDSfM3UlBcanYkkV+loqYG6dUqgvv6twLgT59sJTWrwOREIuLuLBYLL4yMITLUn/3H8/nzZxrpFffllkXNLbfcQp06dbjtttsu+HxBQQFNmzZlypQp1ZzM8z0Q35ruTeuQW1TKpPmbKClzmB1JRNxceJAfs0fFYrHABxsO82nyEbMjiVyQWxY1kydP5p133vnV5//yl79w9dVXV2Mi7+FjszL7DjuhAT4kp57ixaV7zI4kIh6gZ8u6TBrQGoDHF27j4Il8kxOJnM8ti5r+/fsTEhJywef27t3Lrl27GDJkSDWn8h6N6gTy/G1dAHjt2/2s3HPc5EQi4gnuH9CKuGbh5BWVcv/8TRSXaqRX3Euli5qVK1cybNgwoqOjsVgsLFq06LzXzJs3j2bNmhEQEECPHj1Yv369K7ICMGXKFGbMmOGy96upru/UgDuvbgJAwgfJZORq8zoRubifRnrDavmy+XA2M5fuNjuSyDkqXdTk5+cTExPDvHnzLvj8ggULSEhIYPr06WzcuJGYmBgGDx5MRkZG+WvsdjudOnU673H06MVn5Hz66ae0adOGNm3aXDJnUVEROTk55zzkXE/c2IF2USFk5hXz0AebcWjzOhG1HZcQXbsWL5wZ6X195Y+s2J1xie8QqUbOKwA4Fy5ceM65uLg453333Vd+XFZW5oyOjnbOmDGjUu+9YsUK56233nrOualTpzobNWrkbNq0qbNu3brO0NBQ51NPPXXB758+fboTOO+RnZ1dqRzebm96jrPtE4udTR/9wvnqin1mxxEvl52d7fZ/h2o7Kmbaoq3Opo9+4ez69FJnevZps+OIF6tMu+HSe2qKi4tJSkoiPj6+/JzVaiU+Pp61a9de8fvPmDGD1NRUDhw4wMyZM5kwYQLTpk274Gsfe+wxsrOzyx+pqalX/PO9Uav6ITx1U0cAXly6m42HTpqcSMRcajsq5rEb2tO+QSgn8ot58INkjfSKW3BpUZOZmUlZWRmRkZHnnI+MjCQtLa3C7xMfH8/IkSNZvHgxjRo1uqyCyN/fn9DQ0HMecmG3d2/M0C4NKHU4uX/+JrJPl5gdScQ0ajsqJsDXxpzRsdTytbF63wn+/u1+syOJ4GN2gAtZtmzZJV8zbty4qg9SQ1gsFp4b0ZnNh0+RmnWaP32ylbljYrFYLGZHExE31qp+ME/f3JGHP9rCrK/3cHWLcLo1DTc7ltRgLh2piYiIwGazkZ6efs759PR0oqKiXPmjxMVCA3yZM7orPlYLX249xvs/aMhdRC7ttm6NuNkeTZnDyf3zk8ku0EivmMelRY2fnx/dunUjMTGx/JzD4SAxMZGePXu68kdJFbA3rs3Dg9sC8NTn29mTnmtyIhFxdxaLhWeHd6Jp3UCOnDrN1E+24HTq/hoxR6WLmry8PJKTk0lOTgYgJSWF5ORkDh06BEBCQgJvvPEGb7/9Njt37uTee+8lPz+f8ePHuzS4VI0JfVrQt009CkscTHxvI4UlZWZHEhE3FxLgy5zRsfjaLHy1LY331h8yO5LUUJUuajZs2EBsbCyxsbGAUcTExsaWz0IaNWoUM2fOZNq0adjtdpKTk1myZMl5Nw+Le7JaLbw4MoaIYH/2pOfxzBc7zI4kIh6gS6PaPHp9OwCe/nwHu9M00ivVz+KsIeOEOTk5hIWFkZ2drdkMFbBqbyZ3vfk9Tif8/TddGdK5gdmRxAt44t+hJ2Y2i8Ph5J63f+Cb3cdpXT+Yzyb2ppafzexY4uEq8zfolns/ifl6t47gj/1aAvDIx1tIzSowOZGIuDur1cLMkTHUD/Fnb0YeT3+x3exIUsOoqJFflXBdG2Kb1Ca3sJTJ72+ipEyb14nIxUUE+zN7lB2LBeavT+XzzRff/kbElVTUyK/ytVl55Y5YQgJ82HjoFLOX7TE7koh4gF6tIrivfysA/vTJVo30SrVRUSMX1Tg8kL+OMDave/Wb/azam2lyIhHxBA/Et6Zb0zrkFpUyab5GeqV6qKiRS7qxSwNGxzXB6YQHP0gmM6/I7Egi4uZ8bFZevsNOaIAPyamneHGpRnql6qmokQqZNrQDbSKDOZ5bxEMfbNbmdSJySY3qBPL8bcZI72vf7mflnuMmJxJvp6JGKqSWn425Y7ri72Pl2z3H+eeqH82OJCIe4PpODbjz6iYAJHyQTEZuocmJxJupqJEKaxMZwvRhHQF4fsluNqeeMjeQiHiEJ27sQLuoEDLzijXSK1VKRY1Uyui4xtzYuQGlDieT5m8it1Cb14nIxQX42pg7JpYAXyvf7c3k9e800itVQ0WNVIrFYuG5EZ1pWLsWh7IK+NPCbdq8TkQuqVX9EJ66yRjpnfm/3Ww6dNLkROKNVNRIpYXV8mXOmFhsVgufbz7KhxsOmx1JRDzA7d0bM7TL2ZHe7NMa6RXXUlEjl6Vrkzo8NKgNANM/286+DG1eJyIX99NIb+PwWhw+eZo/fbJVI73iUipq5LL9sW9LereK4HRJGRPf20RhSZnZkUTEzYUG+DJndFd8rBa+3HqM939INTuSeBEVNXLZrFYLs0bFEBHsx660XJ5bvNPsSCLiAeyNa/Pw4LYAPPX5dvaka6RXXENFjVyR+iEBvHi7HYB31h5kybY0cwOJiEeY0KcFfdvUo7DEwcT3NmqkV1xCRY1csX5t6vGHvi0AePTjLRw5ddrkRCLi7qxWCy+OjCEi2J896Xk888UOsyOJF1BRIy7x0KC2xDSuTfbpEibP30SpNq8TkUuoF+LP7FF2LBb47/eH+GrrMbMjiYdTUSMu4edjZc4dsYT4+7Dh4EleTtxrdiQR8QC9W0fwx34tAXjk4y2kZhWYnEg8mYoacZkmdQN5bkRnAOau2Mea/ZkmJxIRT5BwXRtim9Qmt7CUye9vokQjvXKZVNSISw2LiWZU98Y4nfDA+8mcyCsyO5KIuDlfm5VX7oglJMCHjYdOMXvZHrMjiYdSUSMuN/2mDrSqH0xGbhFTPtysxbVE5JIahwfy1xFdAHj1m/2s3qeRXqk8FTXicoF+PswdE4ufj5UVu4/zr1UpZkcSEQ9wY5cGjI5rYoz0LkgmUyO9UkkqaqRKtIsK5cmhHQD425JdbD2cbXIiEfEE04Z2oE1kMMdzi3jog804HBrplYpTUSNV5s4eTbi+YxQlZU4mzd9IXlGp2ZFExM3V8rMxd0xX/H2sfLvnOP9c9aPZkcSDqKiRKmOxWPjbrV1oWLsWB04U8MRCbV4nIpfWJjKE6cM6AvD8kt1sTj1lbiDxGCpqpEqFBfry8h12bFYLi5KP8vHGI2ZHEhEPMDquMTd2bkCpw8mk+ZvILSwxO5J4ABU1UuW6NwvnwfjWAEz7dBv7j+eZnEhE3J3FYuG5EZ1pWLsWh7IK+NPCbRrplUtSUSPV4t7+rejVsi4FxWVMem8TRaXavE5ELi6sli9zxsRis1r4fPNRPtxw2OxI4uZU1Ei1sFktvDTKTniQHzuO5TBj8S6zI4mIB+japA4PDWoDwPTPtrMvI9fkROLOVNRItYkMDeDFkTEAvLXmAF/vSDc5kYh4gj/2bUnvVhGcLilj4nubKCzRSK9cmIoaqVbXtqvP73o3B+DhjzZzLPu0yYlExN1ZrRZmjYohItiPXWm5PLd4p9mRxE2pqJFq98j17ejcMIxTBSVMnp9MqTavE5FLqB8SwIu32wF4Z+1BlmxLMzeQuCUVNVLt/HyszBkdS5CfjfUHspizfJ/ZkUTEA/RrU48/9G0BwKMfb+HIKY30yrlU1IgpmkUE8dyIzgDMWb6XdT+eMDmRiHiChwa1JaZxbbJPlzB5/iaN9Mo5VNSIaW62N2Rkt0Y4nPDA+8mczC82O5KIuDk/Hytz7oglxN+HDQdP8nLiXrMjiRtRUSOmeurmjrSoF0RaTiEPf7RZi2uJyCU1qRtYPtI7d8U+1uzPNDmRuAsVNWKqQD8f5oyOxc/HyrKdGby15oDZkUTEAwyLiWZU98Y4z4z0nsgrMjuSuAEVNWK6jtFhPH5DewBmLN7FtiPZJicSEU8w/aYOtKofTEZuEVM+1EivqKgRN3F3z6Zc1yGS4jIHk+ZvIr+o1OxIIuLmAv18mDvGGOldsfs4/1qVYnYkMZmKGnELFouFF27rQoOwAFIy85n26XazI4mIB2gXFcqTQzsA8Lclu9h6WCO9NZlbFjW33HILderU4bbbbjvn/O7du7Hb7eWPWrVqsWjRInNCisvVDvTj5TtisVrg442HWbhJm9eJyKXd2aMJ13eMoqTMyaT5G8nTSG+N5ZZFzeTJk3nnnXfOO9+2bVuSk5NJTk5m1apVBAUFcd1115mQUKpKXPNwJg80Nq97YuE2UjLzTU4kIu7OYrHwt1u70LB2LQ6cKOCJhVt1f00N5ZZFTf/+/QkJCbnoaz777DMGDhxIUFBQNaWS6jJxQCt6NA8nv7iMSfM3UlSqzetE5OLCAn15+Q47NquFRclH+XjjEbMjiQkqXdSsXLmSYcOGER0djcViueDln3nz5tGsWTMCAgLo0aMH69evd0XWc3zwwQeMGjXK5e8r5rNZLbx8Ryx1An3ZdiSHv3212+xIIuIBujcL58H41gBM+3Qb+4/nmZxIqluli5r8/HxiYmKYN2/eBZ9fsGABCQkJTJ8+nY0bNxITE8PgwYPJyMgof43dbqdTp07nPY4ePVqhDDk5OaxZs4YbbrjhV19TVFRETk7OOQ/xHFFhAcwcGQPAm6tTSNyZbnIiqSnUdni2e/u3olfLuhQUlzHpvU0UlmiktyapdFEzZMgQnn32WW655ZYLPj9r1iwmTJjA+PHj6dChA6+99hqBgYG8+eab5a9JTk5m27Zt5z2io6MrlOHTTz9l0KBBBAQE/OprZsyYQVhYWPmjcePGlftFxXQD20cy/ppmAEz5cDNp2YXmBpIaQW2HZ7NZLbw0yk54kB87juXw1692mR1JqpFL76kpLi4mKSmJ+Pj4sz/AaiU+Pp61a9e67OdU5NLTY489RnZ2dvkjNTXVZT9fqs/UIe3oGB3KyYISHliwiTKHbv6TqqW2w/NFhgbw4pmR3rfWHODrHRrprSlcWtRkZmZSVlZGZGTkOecjIyNJS0ur8PvEx8czcuRIFi9eTKNGjc4piLKzs1m/fj2DBw++6Hv4+/sTGhp6zkM8j7+PjbljuhLkZ2Pdj1nMW7HP7Eji5dR2eIdr29Xnd72bA/DwR5s5ln3a5ERSHdxy9tOyZcs4fvw4BQUFHD58mJ49e5Y/FxYWRnp6On5+fiYmlOrUPCKIZ4Z3AmD2sj2sT8kyOZGIeIJHrm9H54ZhnCooYfL8ZErLHGZHkirm0qImIiICm81Gevq5Q33p6elERUW58kdJDTOiayNGdG2IwwkPvL+JUwXFZkcSETfn52NlzuhYgv19WH8giznLNdLr7Vxa1Pj5+dGtWzcSExPLzzkcDhITE88ZbRG5HM/c3InmEUEczS7kkY+21NzFtTa+A3OvgiztcyNyKc0igvjLLcZI75zle1n34wmTE5mktBj+eR18NdXsJFWq0kVNXl5e+aq+ACkpKSQnJ3Po0CEAEhISeOONN3j77bfZuXMn9957L/n5+YwfP96lwaXmCfL3Yc7oWPxsVpbuSOfddQfNjmSOzyZB5h5YPMXsJCIe4WZ7Q0Z2a3RmpDeZk/k1cKR37//g8Hr4/u9mJ6lSlS5qNmzYQGxsLLGxsYBRxMTGxjJt2jQARo0axcyZM5k2bRp2u53k5GSWLFly3s3DIpejU8Mwpg5pB8CzX+5kx9EavIZIaZHZCUQ8xlM3d6RFvSDScgp5+KPNNW+k11Ez9sOqdFHTv39/nE7neY+33nqr/DUTJ07k4MGDFBUV8f3339OjRw9XZpYabvw1zRjYrj7FpQ4mzt9IQXHN+GM9T01rlEWuQKDfmZFeHyvLdmbw1poDZkeSKuCWs59ELsZisfDCyBgiQ/358Xg+f/5su9mRRMQDdIwO4/Eb2gMwY/Euth3JNjmRuJqKGvFI4UF+vHxHLFYLfLDhMJ8ma/M6Ebm0u3s25boOkRSXOZg0fxN5RTVlpNdidoBqoaJGPNbVLeoycYCxed3jC7dx8ES+yYmqmy4/iVSWxWLhhdu60CAsgJTMfKZ9us3sSOJCKmrEo90/oBVxzcLJKypl0vxNFJdqcS0RubjagWdHej/ZeIRPNh42O5K4iIoa8Wg+Niuz77ATVsuXLYezeeF/2rxORC4trnk4kwe2AeCJRdtIyfTykV6LLj+JeITo2rV44bYuALzxXQordmeYnKiaaPaTyBWZOKAVPZqHU1BcxqT5GykqLTM7UtWpIe2FihrxCoM6RjGuVzMApnywmYycQnMDiYjbs1ktvHxHLHUCfdl2JIe/fbXb7EhyhVTUiNeYOqQd7RuEciK/mPvf31QDNq+rGT0vkaoUFRbAzJExALy5OoWl29NMTiRXQkWNeI0AXxtzx8QS5Gdj3Y9ZvLRsj9mRRMQDDGwfye96NwfgoQ83c+hEgcmJqoDuqRHxPC3rBfPXW437a+at2M+KXTXk/hoRuSKPDmlH1ya1yS0s5f/eS6KwxIvvr/FiKmrE6wyLiebunk0BePCDZI6cOm1yoipSQ278E6kOvjYrc8d0Lb+/5pkvdpgdSS6DihrxSo/f2J6YRmGcKijhvv9u1Po1InJJ0bVrMfuOWCwW+O/3h7xspXJdfhLxWP4+NuaO6UpYLV+SU0/x3OKdZkcSEQ/Qr009Jl3bCoDHPtnKvoxckxNJZaioEa/VODyQWbcbsxreWnOAL7ccMzmRq+nyk0hVmBzfhmta1aWguIx7/7ORguKasj+U51NRI15tYPtI/tivJQCPfryFH4/nmZxIRNydzWph9qhY6of4szcjj8cXbsOpe9g8gooa8XpTBrUhrrmxP9T//XejZjWIyCXVC/Fn7piu2KwWFm46wvz1qWZHkgpQUSNez8dmZe7oWCKC/diVlsuTi9TrEpFLi2sezsOD2wLw58+3s/VwtsmJ5FJU1EiNUD80gFfO7Mr7YdJh3l130OxIIuIBft+nBfHt61Nc6uAP724gM6/I7EhyESpqpMbo1SqCqUPaAfD05ztYu/+EyYmukEabRKqc1Wph1ig7LSKCOJpdyP/9dyMlnrgFi1YUFvE+E/q0YLg9mlKHk/ve28jhk164HLqIuFRogC+v392dEH8f1qdk8fTnWpjPXamokRrFYrHw11u70KlhKFn5xfz+nSRN1xSRS2pVP5jZd9ixWODddQeZv/6Q2ZHkAlTUSI0T4GvjH3d1p26QHzuO5fDIR1s89MZhT8ws4rkGto/koevaADDt021sOJBlciL5JRU1UiM1rF2Lv9/ZDR+rhS+2HOOlZXvNjiQiHuC+a1txQ+coSsqc/OHdJA6eyDc7kvyMihqpseKah/PM8E4AvJK4lwU/aDhZRC7OYrHwwm0xdIwO5UR+MWPfXM8JzYhyGypqpEYbHdeEiWf2efnTwm2s2J1hcqJK8MhLZiKeL8jfh3+Pu4qGtWtx4EQBv3tnA6eL3X1RT81+EqkRHhrUhhGxDSlzOLnvvxvZcviU2ZFExM3VDw3g7XuuIqyWL5sOneL+9zdR6olTvb2Mihqp8X6aEfXTBnZ3v7mencdyzI5VARqpETFTq/ohvHF3d/xsVr7ekc6UDzdT5tDfpZlU1IgAfj5WXruzGzGNa3OqoITf/PN79qTnmh1LRNxcXPNw5oyJxcdqYVHyUR79eAsOFTamUVEjckZIgC/v3BNH54ZhZOUXM+aNdexVYSMilzC4YxQv3xGLzWrho6TDPPbJVvcbsdGKwiI1T1gtX979bRwdGoSSmVfMyH+sJengSbNjXZhuFBZxGzd2acCs22OwWmDBhlQmzd9IYYkb3TxcQ9oLFTUiv1A70I///q4H9vJLUetI3JludiwRcXM32xvyyuhYfG0WFm9NY9y/15NTWGJ2rBpFRY3IBdQJ8uO9CT24tm09CkscTHhnA6+v3O+hKw+LSHUZ2iWat8fHEezvw7ofsxjx6hr2H88zO5YuP4nUdIF+Prx+d3du794IhxOeW7yLifM3kV/kLntFqcAScUe9WkXw/u+vJjLUn30ZeQyfu5ql29PMjlUjqKgRuQhfm5W/3dqFZ27uiI/VwpdbjnHT3FVsPZxtdjQRcWOdGobx+aTexDULJ7eolN+/m8QzX+xwr/tsvJCKGpFLsFgs3NWzGe///mrqh/iz/3g+t7y6mjmJe81dbEuXwkTcWv2QAP47oQfjr2kGwL9WpTBsziq2HVGnqKqoqBGpoO7NwvnfA325oXMUpQ4nL369hxF/X6MGSkR+la/NyvRhHXlzXHcigv3Zm5HH8HmreeF/u6p5awXdUyMiv1AnyI95Y7ry0qgYQgJ82HI4m5vmruLPn20nt7pnOdSQG/9EvMGAdpEsfbAvQzoZnaJ5K/YzaPa3rNjlQfvNeQAVNSKVZLFYuCW2EYkJ/bgpJhqHE95ac4CBL37LZ5uPVuMMKRU1Ip4kPMiPV3/TlX/c1Y0GYQGkZp1m/Fs/8Md3kzhy6rTZ8byCihqRy1Q/NIBXRsfyn9/2oHlEEBm5Rdw/fxNj3tAWCyJyYRaLhcEdo1iW0I/f922BzWphyfY04l/8lnkr9lFUqhuJr4SKGpEr1Lt1BF9N7sND17UhwNfK2h9PMOTl73j2ix1Ve0lKl59EPFaQvw9/uqE9X95vzJA6XVLGC//bzfWzv+Ob3bokdbncrqhJTU2lf//+dOjQgS5duvDhhx+e8/wXX3xB27Ztad26Nf/85z9NSilyrgBfG5MGtubrB/sxqEMkZQ4n/1yVwoAXv2XhpsNatE9ELqhdVCgL/nA1s0fZqRfiT0pmPuP+/QO/f2cDqVkFZsfzOG5X1Pj4+DB79mx27NjB0qVLeeCBB8jPzwegtLSUhIQEli9fzqZNm3jhhRc4ceKEyYlFzmocHsjrd3fnrfFX0TwiiOO5RTy4YDOj/rGOncdyzI4nIm7IYrEwPLYhyx/qx+96N8dmtbB0Rzrxs77llcS9rlnbpoaM7LpdUdOgQQPsdjsAUVFRREREkJWVBcD69evp2LEjDRs2JDg4mCFDhrB06VIT04pcWP+29VnyQB8eHtyWWr421h/IYugcY5ZU9mlXXZKqGY2USE0REuDLE0M78NXkPlzdIpyiUgezvt7D4NkrWb5L+89VRKWLmpUrVzJs2DCio6OxWCwsWrTovNfMmzePZs2aERAQQI8ePVi/fv1lhUtKSqKsrIzGjRsDcPToURo2bFj+fMOGDTly5MhlvbdIVfP3sXHfta1Y9lA/bugcRZnDeWaW1Dd8lHQYh+MKL0nVkJ6XSE3TJjKE+ROu5pXRsUSG+nPwRAH3vLWB3739A4dO6JLUxVS6qMnPzycmJoZ58+Zd8PkFCxaQkJDA9OnT2bhxIzExMQwePJiMjLM3Ptntdjp16nTe4+jRo+WvycrK4u677+b111+/jF9LxH00rF2LV3/TjXd/G0eLekFk5hUz5cPNjPzHWrYf1cJ9InI+i8XCTTHRJD7Unz/0bYGP1cKynRnEv/QtL329R9st/Aqfyn7DkCFDGDJkyK8+P2vWLCZMmMD48eMBeO211/jyyy958803mTp1KgDJyckX/RlFRUUMHz6cqVOn0qtXr/Lz0dHR54zMHDlyhLi4uF99j6KiovLjnBzdzyDm6tO6Hksm9+XN1Sm8kriXpIMnGTZnFXde3ZSHB7clJMDX7IiXraTMga/N7a5mXxa1HeJOgv19eOyG9ozs3ojpn21n9b4TvJy4l483HuapmzoysH2k2RGviKvbDpe2QsXFxSQlJREfH3/2B1itxMfHs3bt2gq9h9PpZNy4cQwYMIC77rrrnOfi4uLYtm0bR44cIS8vj6+++orBgwdf8H1mzJhBWFhY+eOnS1giZvLzsfLHfi1JfKgfQ7s0wOGEd9Ye9Oj9YLYcPsXg2StZtsM7rvmr7RB31Kp+CP/5bQ/mjelKg7AADp88zW/f3sD0T7dVbG0bp4n71F1ASZmDl77ewy2vrnbp2jwuLWoyMzMpKysjMvLcyjEyMpK0tIptu7569WoWLFjAokWLsNvt2O12tm7dChgzo1588UWuvfZa7HY7Dz30EHXr1r3g+zz22GNkZ2eXP1JTU6/slxNxoQZhtZg7pivv/a4HDWvX4sCJAka8uoZ31x6oxLuYe09NSZlxE+Mtr67hx+P5zPp6j1dMXVfbIe7KYrFwY5cGLEswZkkBvL32ILf+fc2l77Vxo6Jmb3ouI15dw8uJe9l2JIevtlasPqiISl9+qmq9e/fG4fj1D/+mm27ipptuuuT7+Pv74+/v78poIi7Xq1UEX97fm4c/2sLXO9J58tPtHDhRwOM3tMdqvUTRYuKNwnvSc0n4IJltR4xLMzd2bsCzwzth8YKbl9V2iLsL8vfhiaEd6NWqLg99sJltR3IY8ffV/HtcHJ0bhV34m9ygw+FwOHlzdQrP/283xaUOwmr58vTNHbnZ3vDS31xBLh2piYiIwGazkZ5+7jB0eno6UVFRrvxRIl6jdqAfr9/VjUevbwfAv1alMOWjzVc+O6oKlJQ5+Ps3+xk6ZxXbjuQQVsuXV0bHMu83XakT5Gd2PJEaZUC7SBZP7kP7BqFk5hVzx+tr2XAg61debW57sv94Hne8sY5nv9xJcamDfm3qsfTBvi4taMDFRY2fnx/dunUjMTGx/JzD4SAxMZGePXu68keJeBWLxcK9/Vsye5QdH6uFTzYeYcZXOy/1XdWS7ScbDmQx9JVV/G3JLopLHfRvazRKN8VEV2sOETmrQVgtPvjD1VzTqi75xWX89u0N7L3Q3nMmXX4qLClj1td7GDL7O9anZBHoZ+O5Wzrz1viriAwNcPnPq/Tlp7y8PPbt21d+nJKSQnJyMuHh4TRp0oSEhATGjh1L9+7diYuLY/bs2eTn55fPhhKRXzc8tiEOp5OEDzbzxncpdGoY5vKeTGVl5Rfz/JJdvP+DcW9JnUBfHr+xA7d2begVl5tEPF1IgC//vPsqfvPPdWw8dIrfv5vEl/f3JtDvZ/+JN+Hy08o9x5n26TYOnLnfp3/bejxzcycahwdW2c+sdFGzYcMGrr322vLjhIQEAMaOHctbb73FqFGjOH78ONOmTSMtLQ273c6SJUvOu3lYRC5sRNdGpGTmM2f5Pp5YtI2rmoUTXbtWtecoLCnj36sP8Oo3+8gtLAXg9u6NeGxIe11qEnEztfxs/HPsVdzw8nekZObzzBc7mTGi89kXVONIza60HGYs3sW3e44DEBnqz/RhHRnSKarKO0KVLmr69+9/yRkOEydOZOLEiZcdSqSmmzywNav2ZbLp0Cn++tUuXhkde/6LqqhxKC1z8GnyUV5cupuj2YUAtG8QylM3dSSueXiV/EwRuXLhQX7Muj2GMf/8nvnrDzE6rjFdGtU2nqyGkZqjp04ze9keY8V0J/hYLdzVsykJ17WptnW43G72k4iAj83KMzd3YtjcVXy2+ShjezWjW9M6Vfozi0sdLNx0mL9/s798uLhBWABTBrXlltiGl56NJSKm69UqgltiG7Jw0xGe+WIHH/yhpzE6UoUjJAdP5PP3b/bz8cbDlJQZxdMNnaN4ZHA7mkUEVdnPvRAVNSJuqlPDMEZ2a8QHGw7z3OKdfPTHnucO3Vpd8+ebfbqEj5IO86/vfiwfmakT6Mvv+7Zk/DXNCPC1ueTniEj1eOT6tny17Rg/HDjJ0h3pDO4YdW5R43CA9crnCW1OPcWbq1P4fPNRfpqseXWLcB4e3K7KO2G/RkWNiBt7aFBbPtt8lKSDP2ucfnKFPa/tR7P5z7qDLNp0lNNn9pGpH+LP7/u2YEyPJufeZCgiHqNBWC1+27s581bs5/kluxjYrj4+lp91ThwlYL28tZgKS8r4fPNR3l13kC2Hz66Cfm3bekwc0IpuTc29RK1WS8SNRYYGnN84XcH7ZeYV8cXmoyxMPsrm1FPl59tGhnB3r6bc2rWRRmZEvMAf+rXkve8Psf94Ph9sOMyY0J8XNaVAxYsap9NJ0sGTLNx0hC+3HuNUQQkAfjYrQ7s04J7ezenU8FcW/atmKmpE3Nx5jdNPT1Twxr/sghKW707ns+SjrNybSdmZcWIfq4XBnaK4++qmxDUP1/RsES8SGuDLpAGtefqLHby0bA+33vyzMqas5JLf73Q62XHM2MLg081HSM06Xf5cw9q1+M3VTRjVvTF1g91r9W0VNSJu7peN05hLvN7pdPJjZj7f7D7Osh3prD+QVV7IAHRpFMZwe0OGxURTL8S9GiQRcZ3fXN2Ef69JITXrNEt3pDPspyccpRd8/eniMtYfyCJxZzrLdqSX32MHEORnY3CnKG6JbUivlhHY3HTigIoaEQ/w88aJM4twOp0OSkodZOUXsy8jj93puWw8dJL1KVkczy065/vbRAZzfccobo5tSMt6wSb8BiJS3fx9bEwZ1JbJ7yfzv82pDDszq9pZVkx+USmHTxawJz2PHUdzWJ9ygq1HsstnLwEE+Frp07oew2Kiua59JLX83P/StIoaEQ/g72PjxZF27n7z+/JzP6Sc4PYnvrrg6/18rHRvWof49pHEt4+kSd2qW8FTRNzXsC7RLN+VgXPL2UtOfWYs5bCz3gVf3yAsgP5t6xPfvj7XtIrwuHvsVNSIeIi45uF8cu818PpPZ4weldUCzeoG0ap+MJ0ahtGjeTgxjWt7XGMkIq5ntVp4cWQMq/kGdp05h7G6cIi/D60jg2kbFULXJnW4ukVdGtWp5dH316moEfEgHaJDy7+ObRRK8p3XERLg67bXt0XEfD42K/1ahZUXNQv/cBWB0R084nJSZamoEfFQvjYbtQO1B5OIVEBpcfmXdWtZwQsLGoArX1JQRKqPo+zs17bq2UtFRLxA2dmihtLCX3+dh1NRI+JJSgrOfm31zp6WiFSBsp/NiCzKMy9HFVNRI+JJin9W1FRgAS0REeDcQqYo17wcVUxFjYgnKf55w5RjXg4R8Sw/L2RU1IiIW/j55adCFTUiUkE/7wSpqBERt3D61NmvNVIjIhX1805QsYoaEXEHBZlnvy7MqfCmliJSw/18dKYgy7wcVUxFjYgnyf9ZUeMsg8JTpkUREQ9y+meFTM5R83JUMRU1Ip6k4MS5x17cOImIC+WmXfhrL6OiRsST/LIxyj5iTg4R8RwlheeO6uZ6b2dIRY2IJzl54NzjHBU1InIJeRfoDHnpOlcqakQ8yU9FTf2OZ45TTIsiIh7ip8vUtZuCXwg4SiBzr7mZqoiKGhFPUVYK2anG122HGP9m7DQvj4h4hp8KmLqtoH574+uMHeblqUIqakQ8ReZucJQaPa1WA41z6dvNzSQi7u/EmaImojVEdTa+PpJkXp4qpKJGxFMc3WT8G22HyDOXn3KOQN5x0yKJiAfI/FlR06y38fWP35qXpwqpqBHxFEc2Gv9G2yEgDCI7GccHVpoWSUTcnNMJR5ONr+t3gOb9AAtkbIfsw2YmqxIqakQ8xY/fGP82vtr4t3m/c8+LiPxS9mFj9pPFBg3sEFQXmvYyntv8vqnRqoKKGhFPkPUjZO0Hqw+0OFPMtBxg/Lv7K+MmYhGRXzr8g/FvVCfwCzS+jr3T+DfpLSgtMiVWVVFRI+IJdn5h/NukJ/iHGF+36AeBdSH/uEZrROTCfjnCC9DxFghpYMym/OFfpsSqKipqRNyd0wnJ7xlfd7r17Hmb79njH/5Z/blExL05nbB3qfF1m0Fnz/vWgn6PGl8vfwYy91V/tiqiokbE3aV+D8d3gk8AdBpx7nNxfwCLFfZ8BWlbzcknIu7p2GbIPQa+gdC097nPdR0LzfpASQG8N9Jr9oNSUSPi7lbONP7tPNKY9fRzEa2gw3Dj6/89bvTMREQAtn5o/NtqIPgGnPuc1Qoj3oDaTYx79v4Zf3aGZXVxOuHEfpe+pYoaEXd26HvY97Uxc6FPwoVfM3CaMYqT8i1snl+9+UTEPZWVwJYFxtf231z4NaEN4O7PILyFcX/NPwfCl1PgVGoVZys17hN8YwC81hvyT7jsrVXUiLirslL48iHja/too+G5kPDm0O8R4+svH4J071z+XEQqYdeXxiSCoPrQ6rpff114c5iwAjqOAKcDfngDXu4C742Cje8YU8JdMQJ8+pQxU3PxIzCrPSz4DRzdaLz3kQ1X/v5n+LjsnUTEtda8DOlbIaA2xD918dde8wCkfAc/roD3bofxi41hZRGpeZxOWD3b+LrbWLBd4j/1tWrDyH9Dt3Hw3UxIWQl7lhgPMAqjBl2MDTHDGhkzp/yDwS8IfIMAJzjKwFkGxflQcMJ45KbDiX2QuefMZrw/K45qhRvZrr4Pguu57FdXUSPijg6ugeV/Mb4e/BwERVz89VYb3PoveHOQ0Yi8NRTu/NhYFl1EapYfvzG2VfGpBT3+WPHva9HPeGTsgh2fGkXNsc2QnwH7ll15rvCW0OwaaHujcZ+PzffK3/MXVNSIuJusFPhgrNHr6TIK7GMq9n1BdWHs5/DvG+BkCrwxEEb84+yO3iLi/RwOSDwzstv17kt3iC6kfjvj0f9RKDkNadvObquQfRjyMqA4D4ryoCTfmIFpsRmdK99aEBhhrKEVFGFcNo9oA/XaQnB91/6uF6CiRsSd5B2H/4wwekaRneDGWWCxVPz7Q6Pht1/DgjshdR3MvwNiRsOgvxhFj4h4t60fGKM0fiHQd8qVv59vLWh8lfHwALpRWMRd5ByFt4ca0ytrNzEuH/kHV/59guvB2M+g50TAYsyIejkGVsyAgiyXxwaM2QuFOVXz3iJSMadPwbI/G1/3fahaRkbcjdsVNampqfTv358OHTrQpUsXPvzww/LnTp06Rffu3bHb7XTq1Ik33njDxKQiLnRiP7w5GI7vgpBouHMhhERd/vv5+MPgv8Bvl0JUFyjOhW//asw6WHivcc29tPjKc588CEseg9md4Pt/XPn7icjl+9/jxmJ74S2gx71mpzGFxel0r9W6jh07Rnp6Ona7nbS0NLp168aePXsICgqirKyMoqIiAgMDyc/Pp1OnTmzYsIG6dS89rJ6Tk0NYWBjZ2dmEhoZWw28iUkH7V8BH4+H0SaMxumsR1Gnquvd3OGDnZ8ashp+vOuwfatwU2OgqaNjNuO4dVO/XL3c5nUbG9G1n189J/f7s8y0Hwl2fXDSKJ/4demJmqYF2L4H5owAL3LMEmlx9yW/xFJX5G3S7e2oaNGhAgwYNAIiKiiIiIoKsrCyCgoKw2WwEBhq7jBYVFeF0OnGzmkyk4pxOWDMHlk031oeI7gqj34eQSNf+HKsVOg6HDjfDkSTY+LaxXkT+cdj5ufH4iU+AcV+Of4gxVdNiNZZRL843Lo8V5/7izS3QvC9cM/nsruEiUr1OHYJFZ0Zmet7nVQVNZVW6qFm5ciUvvPACSUlJHDt2jIULFzJ8+PBzXjNv3jxeeOEF0tLSiImJYc6cOcTFxVU6XFJSEmVlZTRu3Lj83KlTp+jXrx979+7lhRdeICLiMu7sFjFb3nH4bOLZdSDsvzFuCv7lUuauZLFAo+7Gw+EwCpyDq42Fr44mG7MaSguNe3ouJrQRNI6Dpr2g3Y1GESQi5igphA/uhtNZ0CAGBjxpdiJTVbqoyc/PJyYmhnvuuYcRI0ac9/yCBQtISEjgtddeo0ePHsyePZvBgweze/du6tc3blqy2+2Ulpae971Lly4lOtpoILOysrj77rvPu2+mdu3abN68mfT0dEaMGMFtt91GZKSLe7YiVWn3EqOgyT8ONj9jHZqrfle5WU5Xymo9f0ZDaTHkHIacY2dGZ/KMESTfQGMGREgD4wZm31rVl1NEfp3TCV88YMx2qlUHbn+3ajtGHqDSRc2QIUMYMuTX172YNWsWEyZMYPz48QC89tprfPnll7z55ptMnToVgOTk5Iv+jKKiIoYPH87UqVPp1avXBV8TGRlJTEwM3333HbfddtsF36OoqKj8OCdHMzPEZKdPwdfTjMs/APU7wojXIaqTqbHK+fgZ9/T82nYMNYTaDvEYiU8bsxstZxbfdOW9eB7KpbOfiouLSUpKIj4+/uwPsFqJj49n7dq1FXoPp9PJuHHjGDBgAHfdddc5z6Wnp5Oba1zTz87OZuXKlbRt2/aC7zNjxgzCwsLKHz+/hCVSrZxO2PYJzIs7W9D0nAgTlrtPQSPl1HaIR1j3GqyaZXw97GVjhV5xbVGTmZlJWVnZeZeDIiMjSUtLq9B7rF69mgULFrBo0SLsdjt2u52tW40ZGwcPHqRPnz7ExMTQp08fJk2aROfOnS/4Po899hjZ2dnlj9TUKt51VORCTh0y9mL6aDzkpUPd1jBusTHduoYPE7srtR3i9r5/HZY8anw94AnoetfFX1+DuN3sp969e+NwOC74XFxc3CUvXf3E398ff39/FyYTqYTSYvj+7/DNX437U2x+0Och6P2gsYaMuC21HeLW1syFpY8bX/eaBH1csGqwF3FpURMREYHNZiM9Pf2c8+np6URFXcFCYiKewumEvUuNBemy9hvnml4DQ2dDvTamRhMRD+Z0wornYOXzxnGfh4yZTtU5wcADuPTyk5+fH926dSMxMbH8nMPhIDExkZ49e7ryR4m4n+N74L+3GZebsvZDUH24+VUY+4UKGhG5fKVFsPAPZwua/o+poPkVlR6pycvLY9++feXHKSkpJCcnEx4eTpMmTUhISGDs2LF0796duLg4Zs+eTX5+fvlsKBGvc/oUfPs8rP8HOErB6gs9/88YFg7QCrQicgXyT8AHdxlrSllsMHQWdBtndiq3VemiZsOGDVx77bXlxwkJCQCMHTuWt956i1GjRnH8+HGmTZtGWloadrudJUuWaC0Z8T6OMtj0LiQ+AwWZxrm2N8CgZ6FuS3OziYjnO7wBPhhrrB/lHwq3v62Vuy/B7fZ+qirav0Vcav8K+PrJs3spRbSF65+DVvEX/74azhP/Dj0xs3g4pxPWvwH/+xM4SiC8JYz6D0R2MDuZKTx67ycRt5a2Fb6eDvvP3DfmHwbXPmasCGzzNTebiHi+/BPw5YOw41PjuMPNcNNcXcquIBU1IhWRfRiW/8VYvROncd9M3ATo+zAEhpudTkS8wZ7/wWeTjDWtrD5w3TNw9b26IbgSVNSIXMzpU7DqJfj+NWOzR4BOtxozD8KbmxpNRLxEUZ6x9kzSW8ZxRFsY8Q+IjjU1lidSUSNyIaXFsOFfxqym01nGuaa9YdDT0LCbudlExHvs+R98OQWyDwEW6HmfsUqwNo69LCpqRH7O6YTtnxgbxZ08YJyLaAvXPQ1tBmsYWERcI+eYsdXBT/fOhDWB4a9C8z7m5vJwKmpEfnJgFSx9Eo5uNI6Do+DaP4H9N2DTn4qIuICjDDa8CcueguJcY+2ZnvdB/6ngF2R2Oo+nllokYxcs+zPs+co49guGayYbDY0aGRFxlcMbYPHDZztODbvDsNkQdeGNmaXyVNRIzZWbZuylsuldcDqMHlP38dDvUQiub3Y6EfEWuWnGyMzm94xj/1AYOA263wNWm7nZvIyKGql5inJhzRzjUVJgnGs/DAZOh4jW5mYTEe9RWgRr58F3L0JxnnEuZgzET4cQbfJcFVTUSM1RVgIb34Zv/gr5x41zjeJg0DPQ5Gpzs4mI93A6Yfdi+N/jcDLFONewOwx5Hhpp9mRVUlEj3s/phF1fGPfNnDizGWt4S4j/szFCoxlNIuIqGTthyWPw4wrjODgKrnsKOt8OVqu52WoAFTXi3VLXGzOaUtcZx4ERxiyDbuO0rYGIuE5eBnz7N9jwb3CWgc0Pek2C3gngH2x2uhpDRY14pxP7jZGZnZ8Zxz61oNdE6HW/9lAREdcpzjfum1n98tn7ZtoNhUHPatVxE6ioEe+Sd9zoLSX9GxylYLFC7J3Q/zEIjTY7nYh4i7JSSP6vMYMyL804Fx1r7NekBfRMo6JGvENxAaybB6teNha0Amg92LhvJrKDqdFExIs4ncbWBsumw/FdxrnaTY0ZTR1u0X0zJlNRI57NUXa2t5R7zDjXwG7MaGre19RoIuJljiTB19PhwHfGca060PcRuOq34ONvbjYBVNSIp3I6Ye/X8PU0OL7TOFe7ibHWTMcR6i2JiOtkpcDyZ2Dbx8axzR+uvhd6Pwi1apsaTc6lokY8z5GNRjHzU28poDb0ewSu+p16SyLiOgVZsPIFWP8GOEoAC8SMNvaEq93Y7HRyASpqxHOcPACJz8C2j4xjmz9c/cczvaU6pkYTES9Schq+fw2+ewmKso1zLQdA/FPQoIu52eSiVNSI+yvIgpUz4Yc3oKwYsECXUTDgceOSk4iIKzgcsGUBLH8Wcg4b5yI7G4vntRpobjapEBU14r5KCmH9P4x9UwrP9JZa9IfrnoYGMaZGExEvs385LJ0G6VuN49BGMOAJ6HK7Np30ICpqxP04HLD1Q+PGvOxU41xkJ6OYUW9JRFwpbatxj97+5caxfxj0SYAefwDfWuZmk0pTUSPuZf8K+PpJo6EBCG14prc0Sr0lEXGd7MPGZabN7wNOsPpC3ATo+zAEhpudTi6TihpxD2lbjfUf9icax/6hZ3pLf1RvSURc5/QpWPUSrPs7lBUZ5zrdCgOe1LYGXkBFjZgr+zAs/wtsnk95b+mq3xm9paC6ZqcTEW9RWgQ//AtWPg+nTxrnmvaGQU9Dw27mZhOXUVEj5ijMPttbKi00znUcAQOfhPAW5mYTEe/hcMCOhbDsKTh10DhXr50xPbvNYLBYzM0nLqWiRqpXaTFs+Bd8+zyczjLONb3G2ASukXpLIuJCB1bB0ifh6EbjODjKWDjP/huw6T9/3kj/q0r1cDph+0JIfMpYRA8goq2x/kOb69VbEhHXydhlbDi5Z4lx7BcM10yGnveBX5C52aRKqaiRqndgtTGj6UiScRwceaa3dKd6SyLiOjnH4JsZsOldcDrAYoPu46HfoxBc3+x0Ug30XxSpOsd3GzOa9nxlHPsGGb2lXhPVWxIR1ynKhdWvwNq5UFJgnGs/zNjgNqK1udmkWqmoEdfLTTN6SxvfOdtb6jYO+k9Vb0lEXKesBJLegm//BvnHjXON4mDQM9DkalOjiTlU1IjrFOXCmjnG46feUruhEP9n9ZZExHWcTtj1BSz7M5zYZ5wLb2m0Ne2H6R69GkxFjVy5shJjVOabv0J+hnGu0VXGjKamPc3NJiLe5dD3xj16qd8bx4ERxihwt3Fg8zU1mphPRY1cPqcTdn15pre01zgX3uJMb+km9ZZExHUy9xmzJ3d+Zhz71DLuz+t1PwSEmptN3IaKGrk8qT8YvaVDa43jwLrQb6ox00C9JRFxlbzjxj0zSf8GRylYrBB7J/T/E4Q2MDuduBkVNVI5J/YbvaUdnxrHPrWMtR+umazekoi4TnEBrJsHq16G4lzjXOvBxkhwZAdTo4n7UlEjFZOfafSWNrx5trdk/42x3kxotNnpRMRbOMog+b+w4jnIPWaca2A3ZjQ172tqNHF/Kmrk4ooLYN2rsGr2z3pLg870ljqamUxEvInTCXuXGmtbHd9pnKvdxFhrpuMIsFrNzSceQUWNXJijDJLfgxV/+VlvKcaY0dSin7nZRMS7HNkIX0+DA98ZxwG1od8jcNXvwMff1GjiWVTUyLmcTtj7tbFvSsYO41xYExg4DTrdqt6SiLjOyQOQ+Axs+8g4tvnD1X+E3g9CrTqmRhPPpKJGzjq6ydjR9ue9pb4PQ9wE9ZZExHUKsmDlTPjhDSgrBizQZRQMeNy45CRymdyuqElNTeWuu+4iIyMDHx8fnnzySUaOHFn+fEpKCvfccw/p6enYbDbWrVtHUJD2EboiJw/C8mdg64fGsc0fevwB+iSotyQirlNSCOv/Ad+9CIXZxrkW/eG6p43L2yJXyO2KGh8fH2bPno3dbictLY1u3bpxww03lBcu48aN49lnn6VPnz5kZWXh768RhMtWkGU0LutfP9Nb4kxv6Qn1lkTEdRwO2PoBLH8WslONc5GdjGKm1UBzs4lXcbuipkGDBjRoYCyoFBUVRUREBFlZWQQFBbF9+3Z8fX3p06cPAOHh4WZG9VwlhUYh893Ms72l5v2MBibabmo0EfEy+1cYC3WmbTWOQxsaHacuo8BqMzebeJ1K3/W5cuVKhg0bRnR0NBaLhUWLFp33mnnz5tGsWTMCAgLo0aMH69evv6xwSUlJlJWV0bhxYwD27t1LcHAww4YNo2vXrjz33HOX9b41lsMBmxfA3O5GI1OYDfU7wp0fw92fqqAREddJ2wrvjoB3hxtf+4caS0FMSgL7GBU0UiUqPVKTn59PTEwM99xzDyNGjDjv+QULFpCQkMBrr71Gjx49mD17NoMHD2b37t3Ur18fALvdTmlp6Xnfu3TpUqKjjYXcsrKyuPvuu3njjTfKny8tLeW7774jOTmZ+vXrc/3113PVVVdx3XXXnfdeRUVFFBUVlR/n5ORU9lf1LvtXGFMm07YYxyHRRm8p5g41LiI/o7bjCmUfhuV/gc3zASdYfY2p2X0fhqC6ZqcTL1fpombIkCEMGTLkV5+fNWsWEyZMYPz48QC89tprfPnll7z55ptMnToVgOTk5Iv+jKKiIoYPH87UqVPp1atX+fmGDRvSvXv38pGbG264geTk5AsWNTNmzOCpp56q7K/nfdK2GdOz9y0zjv1DjemSV98LvrXMzSbihtR2XKbCbFj1Eqz7O5QWGuc63mIsBxHewtxsUmO4dNGR4uJikpKSiI+PP/sDrFbi4+NZu3Zthd7D6XQybtw4BgwYwF133XXOc1dddRUZGRmcPHkSh8PBypUrad++/QXf57HHHiM7O7v8kZqaevm/mCfKPgKL/g9e620UNFYf6PFHuH+TMatJBY3IBdX4tqOySouNQuZlu1HUlBZC02vgd4kw8i0VNFKtXHqjcGZmJmVlZURGRp5zPjIykl27dlXoPVavXs2CBQvo0qVL+f067777Lp07d8bHx4fnnnuOvn374nQ6GTRoEEOHDr3g+/j7+9fMmVG/1lsa8CTUbWluNhEPUGPbjspyOmH7QmOD25MHjHMRbeG6p6DN9WCxmBpPaia3m/3Uu3dvHA7Hrz5/qctfNVZpsbHZ5Ld/g9NZxrkmvYxN4Bp1NzebiHiXA6uNyQZHkozj4Ehjc1v7nWBzu/+sSA3i0v/3RUREYLPZSE9PP+d8eno6UVFRrvxR8pML9pbaQPxT0HaIeksi4jrHdxsbTu75yjj2DYJrJkOvieCnRVDFfC4tavz8/OjWrRuJiYkMHz4cAIfDQWJiIhMnTnTljxI4v7cUVN/oLcXepd6SiLhObhp8MwM2vgNOB1hs0G0c9J8KwfXNTidSrtL/5cvLy2Pfvn3lxykpKSQnJxMeHk6TJk1ISEhg7NixdO/enbi4OGbPnk1+fn75bChxgeO7YdmfYfdi49g3CK65H3pOBP9gU6OJiBcpyoU1c4xHSYFxrt1QGDgd6rUxN5vIBVS6qNmwYQPXXntt+XFCQgIAY8eO5a233mLUqFEcP36cadOmkZaWht1uZ8mSJefdPCyX4YK9pbHQbyqE6PMVERcpKzHamW/+CvkZxrlGV8F1z0DTnuZmE7kIi9PpdJodojrk5OQQFhZGdnY2oaGhZsepnKK8n/WW8o1zbW80VudUb0k8iCf+HXpi5svmdMKuL42R4BN7jXPhLYy2pv1NukdPTFGZv0HdeOHOLtRbatjdmNHUtNfFv1dEpDJSfzDu0Tt0Zk2xwLrGKHD38WDzNTebSAWpqHFHF+ot1Wlu9JY63Kzekoi4zon9xuzJHZ8axz61oOd9xqymAC8fmRKvo6LG3Vywt/QodBsPPn7mZhMR75GfaaxrteFNcJSCxWpsNHnt4xAabXY6kcuiosZdnNdbCvhZbynM3Gwi4j2KC2Ddq7BqNhTnGudaDzJGgiM7mplM5IqpqDFbfiZ8+zxs+JfRW8IC9t8Y682ENTQ7nYh4C0cZJL8HK/4CuceMcw1ijBlNLfqZm03ERVTUmOVCvaVW1xn7pqi3JCKu4nTC3q9h2XTI2GGcC2ti7J7d6VawunRfYxFTqaipbr/aW3oaWvQ3NZqIeJmjm+DraZCy0jgOqA19H4a4CeCjTTvF+6ioqS5OJ+xbZjQw5/SWnoROt6m3JCKuc/IgLH8Gtn5oHNv8occfoE8C1KpjbjaRKqSipjqc11sKM3pLV00A3wBzs4mI9yjIgu9ehPWvQ1mxca7LKBjwBNRuYm42kWqgoqYqnddb8jN6S70TIDDc3Gwi4j1KCo1C5ruZUJhtnGvez7isHW03NZpIdVJRUxUu1FvqfLvRW6rT1NxsIuI9HA7Y9hEkPgPZh4xz9TsaxUyrgVqoU2ocFTWudMHeUl9jyqR6SyLiSj9+A0ufhLQtxnFItNFxirkDrDZTo4mYRUWNK1ywt9ThTG8pXr0lEXGdtG3G9Ox9y4xjvxDo8yD0uBf8As3NJmIyFTVX6oK9pcchZrR6SyLiOtlHjKUgkt8DnGD1gat+Z0w6CIowO52IW1BRc7nSthobTqq3JCJVqTDbWKRz3atQWmic6zDcWDyvbkszk4m4HRU1lXXyoNFb2vIB5b2l7r+Ffo+otyQirlNaDEn/NjadLDhhnGvSCwY9A426m5tNxE2pqKmo/ExYOdPYo+mnGU0db4EBT6q3JCKu43TCjkWw7Ck4mWKci2gD8U9B2yG6R0/kIlTUXEpRnjHsu/qVs3s0Ne9n7GjbsKup0UTEyxxcY9yjd2SDcRxUH659DGLvBpuaa5FL0V/JrykrgaS3jB208zOMcw1ijGKm5QAzk4mItzm+x5jRtHuxcewbBNfcDz0ngn+wudlEPIiKml9yOGDHQmN69k9Dv3WaG+s/dByhPZpExHVy0+GbGbDxHXCWgcUGXe+G/o9BSKTZ6UQ8joqan9u/wugtHdtsHAfVg36PQtex4ONnbjYR8R5FebB2rnFZuyTfONf2RoifDvXamptNxIOpqAFjw8llfzbWnAHwC4ZrJsPV/6ehXxFxnbISY1Tmm7+evazdsLsxo6lpL3OziXiBml3UnNgPy5+F7Z8Yx1bfM4tZTdH0bBFxnZ9mNCU+A1n7jXN1mhsjMx2Ga0aTiIvUzKImNx1WPm/cCOwoBSzQ5Xa49k9Qp5nJ4UTEq/z4rXFZ++gm4zgwwljXqtt4XdYWcbGaV9R8+wJs+dfZ69itrjN6S1Gdzc0lIt7l2Gbjsvb+5caxX7Axm6nXRPAPMTWaiLeqeUXNmpfB3wINuxmLWTXvY3YiEfEmWT8al7W3fWwcW32h+z3GHk3B9czNJuLlal5RU6clDH0K2g/TdWwRcZ28DGNdq6R/n7msDXQeCdc+DuHNzc0mUkPUvKJmQiLUCTc7hYh4i8IcY3r2mrk/u6wdDwOnQ4Mu5mYTqWFqXlGjpcZFxBVKi2DDm7DyhbMbTjbsZqw63ryvqdFEair9F15EpDIcDtj6Iax4Fk4dMs7VbQUDp0H7m3RZW8REKmpERCrC6YS9XxszmtK3GeeCo6D/VIi9S6PAIm5Af4UiIhXx35GQ8b3xtX8Y9H4AevwR/AJNjSUiZ6moERGpiNR1EBgAPX4PvRMgUBMORNyNihoRkYroPApunA5hjcxOIiK/QkWNiEhFDH0RQkPNTiEiF2E1O4CIiIiIK6ioEREREa+gokZERES8gooaERER8QoqakRERMQrqKgRERERr6CiRkRERLyCihoRERHxCipqRERExCvUmBWFnU4nADk5OSYnEam5fvr7++nv0ROo7RAxV2XajRpT1OTm5gLQuHFjk5OISG5uLmFhYWbHqBC1HSLuoSLthsXpSV2mK+BwODh69CghISFYLBaz41S5nJwcGjduTGpqKqE1eL8afQ4Gd/kcnE4nubm5REdHY7V6xtVvtR01kz4Hgzt8DpVpN2rMSI3VaqVRo5q3u25oaGiN/oP8iT4Hgzt8Dp4yQvMTtR01mz4Hg9mfQ0X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" ] }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:32:13.304446Z", "iopub.status.busy": "2025-09-18T18:32:13.304271Z", "iopub.status.idle": "2025-09-18T18:32:13.332245Z", "shell.execute_reply": "2025-09-18T18:32:13.331692Z" } }, "outputs": [ { "data": { "text/plain": [ "1646.1603122108777" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "analysis.inner_product()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "execution": { "iopub.execute_input": "2025-09-18T18:32:13.334005Z", "iopub.status.busy": "2025-09-18T18:32:13.333839Z", "iopub.status.idle": "2025-09-18T18:32:13.372469Z", "shell.execute_reply": "2025-09-18T18:32:13.371949Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(-inf)" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "analysis.likelihood()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "execution": { "iopub.execute_input": "2025-09-18T18:32:13.374183Z", "iopub.status.busy": "2025-09-18T18:32:13.374001Z", "iopub.status.idle": "2025-09-18T18:32:13.397245Z", "shell.execute_reply": "2025-09-18T18:32:13.396642Z" } }, "outputs": [ { "data": { "text/plain": [ "-823.0801561054388" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "analysis.likelihood(source_only=True)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "execution": { "iopub.execute_input": "2025-09-18T18:32:13.399121Z", "iopub.status.busy": "2025-09-18T18:32:13.398937Z", "iopub.status.idle": "2025-09-18T18:32:13.416874Z", "shell.execute_reply": "2025-09-18T18:32:13.416333Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(-inf)" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "analysis.likelihood(noise_only=True)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "execution": { "iopub.execute_input": "2025-09-18T18:32:13.418558Z", "iopub.status.busy": "2025-09-18T18:32:13.418371Z", "iopub.status.idle": "2025-09-18T18:32:13.442482Z", "shell.execute_reply": "2025-09-18T18:32:13.441873Z" } }, "outputs": [ { "data": { "text/plain": [ "40.572901205248776" ] }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:32:13.444337Z", "iopub.status.busy": "2025-09-18T18:32:13.444163Z", "iopub.status.idle": "2025-09-18T18:32:14.391972Z", "shell.execute_reply": "2025-09-18T18:32:14.391404Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Template Inner product: 1728.4648708859104\n", "Template SNR: (np.float64(42.60154626551123), np.float64(40.57282005947321))\n", "Template Likelihood: -2.061157325775639\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": { "execution": { "iopub.execute_input": "2025-09-18T18:32:14.393871Z", "iopub.status.busy": "2025-09-18T18:32:14.393670Z", "iopub.status.idle": "2025-09-18T18:32:14.397032Z", "shell.execute_reply": "2025-09-18T18:32:14.396518Z" } }, "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": { "execution": { "iopub.execute_input": "2025-09-18T18:32:14.398746Z", "iopub.status.busy": "2025-09-18T18:32:14.398524Z", "iopub.status.idle": "2025-09-18T18:32:19.377164Z", "shell.execute_reply": "2025-09-18T18:32:19.376557Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "With parameters likelihood: 2.2737367544323206e-13\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "With parameters snr: (np.float64(40.572901205248776), np.float64(40.57290120524878))\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "With parameters inner product: 1646.1603122108777\n", "Adjust amplitude:\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "With parameters likelihood: -0.7407721404949825\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "With parameters snr: (np.float64(41.790088241406245), np.float64(40.572901205248776))\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "With parameters inner product: 1695.545121577204\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)}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparing XYZ and AET" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The XYZ TDI channels have correlated noise. In matrix form, you can imagine this as\n", "\n", "$$ \n", "C = \\left(\\begin{matrix}\n", " XX & XY & XZ \\\\\n", " YX & YY & YZ \\\\\n", " ZX & ZY & ZZ \n", "\\end{matrix}\\right).\n", "$$.\n", "\n", "For AET, this becomes diagonalized:\n", "$$ \n", "C' = \\left(\\begin{matrix}\n", " AA & 0 & 0 \\\\\n", " 0 & EE & 0 \\\\\n", " 0 & 0 & TT \n", "\\end{matrix}\\right).\n", "$$\n", "\n", "In the inner product equation, the multiplication of the template and noise is given as $(\\mathbf{h}^T \\mathbf{C}^{-1} \\mathbf{h})$. In the XYZ basis, the full 3x3 matrix at each frequency must be inverted. In the AET basis, the inversion is equivalent to taking 1 over the sensitivity value themselves. \n", "\n", "A good check is to verify that your inner product values are equivalent in both bases. To do this, you need real TDI templates. So, we will use `GBGPU` to put in one Galactic binary waveform. \n" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "execution": { "iopub.execute_input": "2025-09-18T18:32:19.379225Z", "iopub.status.busy": "2025-09-18T18:32:19.379036Z", "iopub.status.idle": "2025-09-18T18:32:22.026439Z", "shell.execute_reply": "2025-09-18T18:32:22.025871Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "19.134165338394837 19.13416533839472\n", "-9.567082669197418 -9.56708266919736\n", "108203541.67664015 108203940.35576239\n" ] } ], "source": [ "# setup a data stream\n", "dt = 10.0\n", "Tobs = YRSID_SI / 2.0\n", "N = int(Tobs / dt)\n", "Tobs = N * dt\n", "t = np.arange(N) * dt\n", "\n", "data_xyz = DataResidualArray(\n", " [\n", " np.zeros_like(t),\n", " np.zeros_like(t),\n", " np.zeros_like(t),\n", " ],\n", " dt=dt,\n", ")\n", "\n", "data_aet = DataResidualArray(\n", " [\n", " np.zeros_like(t),\n", " np.zeros_like(t),\n", " np.zeros_like(t),\n", " ],\n", " dt=dt,\n", ")\n", "\n", "# build waveforms\n", "from gbgpu.gbgpu import GBGPU\n", "gb = GBGPU()\n", "gb.run_wave(\n", " 1e-23, 0.003, 1e-17, 0.0, 0.4, 0.8, 0.9, 0.3, 0.5, T=Tobs, dt=dt, oversample=4\n", ")\n", "\n", "# inject waveforms\n", "data_xyz[:, gb.start_inds[0] : gb.start_inds[0] + gb.A.shape[-1]] = (\n", " gb.XYZf[:]\n", ")\n", "data_aet[:, gb.start_inds[0] : gb.start_inds[0] + gb.A.shape[-1]] = (\n", " np.asarray(AET(*gb.XYZf[0]))\n", ")\n", "\n", "# set sensitivity matrices\n", "sens_xyz = XYZ1SensitivityMatrix(data_xyz.f_arr, model=\"scirdv1\")\n", "sens_aet = AET1SensitivityMatrix(data_aet.f_arr, model=\"scirdv1\")\n", "\n", "ac_xyz = AnalysisContainer(data_xyz, sens_xyz)\n", "ac_aet = AnalysisContainer(data_aet, sens_aet)\n", "\n", "print(ac_xyz.inner_product(), ac_aet.inner_product())\n", "print(ac_xyz.likelihood(source_only=True), ac_aet.likelihood(source_only=True))\n", "\n", "# TODO: currently a small difference in noise-included likelihoodm\n", "print(ac_xyz.likelihood(), ac_aet.likelihood())" ] } ], "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": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 4 }