From 4ceaa32ed1dcdbe90c04a7520756bdf28aeae20f Mon Sep 17 00:00:00 2001 From: Evgeniy Unzhakov Date: Mon, 4 May 2026 10:55:30 +0300 Subject: [PATCH] Add some sanyty testing ipynb notebooks --- notebooks/phase_space.ipynb | 103 +++++++++++++ notebooks/smoke_test.ipynb | 56 +++---- notebooks/spec_test.ipynb | 111 ++++++++++++++ notebooks/testing.ipynb | 284 ++++++++++++++++++++++++++++++++++++ 4 files changed, 516 insertions(+), 38 deletions(-) create mode 100644 notebooks/phase_space.ipynb create mode 100644 notebooks/spec_test.ipynb create mode 100644 notebooks/testing.ipynb diff --git a/notebooks/phase_space.ipynb b/notebooks/phase_space.ipynb new file mode 100644 index 0000000..70fd97d --- /dev/null +++ b/notebooks/phase_space.ipynb @@ -0,0 +1,103 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 4, + "id": "9d730e72-d542-4f2f-8321-7594aa177850", + "metadata": {}, + "outputs": [], + "source": [ + "from beta_spectrum.components.phase_space import PhaseSpace\n", + "from beta_spectrum.components.fermi import FermiFunction\n", + "from beta_spectrum.utils import T_to_W\n", + "from numpy import arange, trapezoid\n", + "\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "270a21ee-55a6-4c13-9b74-fa8bf4cc86a5", + "metadata": {}, + "outputs": [], + "source": [ + "endpoint_MeV = 0.2953\n", + "e_step_MeV = 0.001\n", + "Z_d = 44\n", + "Z_p = 43\n", + "A = 99\n", + "\n", + "W0 = T_to_W(endpoint_MeV)\n", + "E = arange(e_step_MeV, endpoint_MeV, e_step_MeV)\n", + "W = T_to_W(E)\n", + "tr_type = \"F2\"" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "10f27530-f2fe-4f2f-935f-3dec42ca8fd3", + "metadata": {}, + "outputs": [], + "source": [ + "ff = FermiFunction(Z_p, A)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "9352fc42-a2cd-47ee-a45b-e1ef5a7f79b1", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for forb in [\"F1\", \"F2\",\"F3\", \"F4\"]:\n", + " ph = PhaseSpace(W0, transition_type=forb)\n", + " integral = trapezoid(ph(W), W)\n", + " plt.plot(W, ff(W) * ph(W)/integral, label=forb)\n", + " # plt.yscale(\"log\")\n", + " plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fe83f93d-b9d5-4db2-b653-fd6e2355d910", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.14.4" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/notebooks/smoke_test.ipynb b/notebooks/smoke_test.ipynb index f71289b..2156afe 100644 --- a/notebooks/smoke_test.ipynb +++ b/notebooks/smoke_test.ipynb @@ -14,14 +14,7 @@ "cell_type": "code", "execution_count": 1, "id": "imports", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-01T22:46:35.931027Z", - "iopub.status.busy": "2026-05-01T22:46:35.930620Z", - "iopub.status.idle": "2026-05-01T22:46:37.237362Z", - "shell.execute_reply": "2026-05-01T22:46:37.235705Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -36,20 +29,13 @@ "cell_type": "code", "execution_count": 2, "id": "spectrum-basic", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-01T22:46:37.242031Z", - "iopub.status.busy": "2026-05-01T22:46:37.241427Z", - "iopub.status.idle": "2026-05-01T22:46:37.247700Z", - "shell.execute_reply": "2026-05-01T22:46:37.246000Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "# Build a basic 99Tc spectrum\n", "config = SpectrumConfig(\n", " Z_parent=43, Z_daughter=44, A_number=99,\n", - " endpoint_MeV=0.294, transition_type='F1',\n", + " endpoint_MeV=0.294, transition_type='F2',\n", " use_screening=False, use_exchange=False,\n", " use_finite_size=False,\n", ")" @@ -59,20 +45,13 @@ "cell_type": "code", "execution_count": 3, "id": "spectrum-compute", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-01T22:46:37.252211Z", - "iopub.status.busy": "2026-05-01T22:46:37.251845Z", - "iopub.status.idle": "2026-05-01T22:46:37.259124Z", - "shell.execute_reply": "2026-05-01T22:46:37.257471Z" - } - }, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Spectrum: 293 points, peak at T=0.001 MeV\n" + "Spectrum: 293 points, peak at T=0.072 MeV\n" ] } ], @@ -89,18 +68,11 @@ "cell_type": "code", "execution_count": 4, "id": "plot-basic", - "metadata": { - "execution": { - "iopub.execute_input": "2026-05-01T22:46:37.263766Z", - "iopub.status.busy": "2026-05-01T22:46:37.263206Z", - "iopub.status.idle": "2026-05-01T22:46:37.497607Z", - "shell.execute_reply": "2026-05-01T22:46:37.496426Z" - } - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "" ] @@ -112,7 +84,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/tmp/ipykernel_1261920/3601518846.py:14: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", + "/tmp/ipykernel_6375/2727487349.py:14: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", " plt.show()\n" ] } @@ -122,7 +94,7 @@ "os.makedirs('_plots', exist_ok=True)\n", "\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", - "ax.plot(kinetic_MeV * 511, flux, 'b-')\n", + "ax.plot(kinetic_MeV, flux, 'b-')\n", "ax.set_xlabel('Kinetic Energy (keV)')\n", "ax.set_ylabel('Flux')\n", "ax.set_title('99Tc Beta Spectrum')\n", @@ -133,6 +105,14 @@ "display(Image(filename=plot_path))\n", "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fe3cb309-a256-4c3e-be63-c0ccdc60db8c", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { @@ -151,7 +131,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.3" + "version": "3.14.4" } }, "nbformat": 4, diff --git a/notebooks/spec_test.ipynb b/notebooks/spec_test.ipynb new file mode 100644 index 0000000..a31a422 --- /dev/null +++ b/notebooks/spec_test.ipynb @@ -0,0 +1,111 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "d691a3a7-f750-44e5-bbb4-49c1762c3cec", + "metadata": {}, + "outputs": [], + "source": [ + "from beta_spectrum.spectrum import SpectrumConfig, BetaSpectrum, BetaSpectrumAnalyzer" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "7b323d92-4ed3-4b58-8834-09f9f5b9fd2d", + "metadata": {}, + "outputs": [], + "source": [ + "# Tc-99\n", + "config = SpectrumConfig(\n", + " Z_parent=43,\n", + " Z_daughter=44,\n", + " A_number=99,\n", + " endpoint_MeV=0.2935,\n", + " transition_type=\"F2\",\n", + " e_step_MeV=0.0001, # 100 eV\n", + " # use_exchange=False,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "3e03f78b-23ec-4875-9eda-5d5501d0990e", + "metadata": {}, + "outputs": [], + "source": [ + "spectrum = BetaSpectrum.from_config(config)\n", + "analyzer = BetaSpectrumAnalyzer(spectrum, config)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "25f91426-4b87-49da-a13b-e5cf4d41b507", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Figure saved to tc99_plots.png\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "analyzer.plot_analysis(save_path='tc99_plots.png')" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "e6e38aa5-66a3-48a1-9252-2fc48821c443", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Spectrum exported to tc99_spectrum.csv\n" + ] + } + ], + "source": [ + "analyzer.export_to_csv('tc99_spectrum.csv')" + ] + } + ], + "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": "3.14.4" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/notebooks/testing.ipynb b/notebooks/testing.ipynb new file mode 100644 index 0000000..e9d3001 --- /dev/null +++ b/notebooks/testing.ipynb @@ -0,0 +1,284 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "05eecb31-92a2-4304-b67b-11d524ade80c", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from beta_spectrum.components.fermi import FermiFunction\n", + "from beta_spectrum.components.phase_space import PhaseSpace\n", + "from beta_spectrum.components.finite_size import FiniteSizeL0\n", + "from beta_spectrum.components.finite_size import ChargeDistributionU\n", + "from beta_spectrum.components.screening import ScreeningCorrection\n", + "from beta_spectrum.components.exchange import ExchangeCorrection\n", + "from beta_spectrum.components.radiative import RadiativeCorrection\n", + "\n", + "from beta_spectrum.constants import ME_MEV, ALPHA, HBAR_C_MEV_FM\n", + "\n", + "from beta_spectrum.utils import W_to_T, T_to_W" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "9925e5cc-7029-49c9-8077-8a2b0f2875ec", + "metadata": {}, + "outputs": [], + "source": [ + "endpoint_MeV = 0.2953\n", + "e_step_MeV = 0.001\n", + "Z_d = 44\n", + "Z_p = 43\n", + "A = 99\n", + "\n", + "W0 = T_to_W(endpoint_MeV)\n", + "E = np.arange(e_step_MeV, endpoint_MeV, e_step_MeV)\n", + "W = T_to_W(E)\n", + "tr_type = \"F2\"\n", + "\n", + "F = FermiFunction(Z_d, A)\n", + "Ph = PhaseSpace(W0=W0, transition_type=tr_type, m_e=1, m_nu=0)\n", + "\n", + "L0 = FiniteSizeL0(Z_d, A)\n", + "U = ChargeDistributionU(Z_d, A)\n", + "\n", + "S = ScreeningCorrection(FermiFunction(Z_p, A))\n", + "X = ExchangeCorrection(Z_p)\n", + "\n", + "R_resum = RadiativeCorrection(W0, use_endpoint_resummation=True)\n", + "R_no_resum = RadiativeCorrection(W0, use_endpoint_resummation=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "cb986e9e-30f0-47f6-b743-ffea80b9bd9c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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XK6mf4OO0KyWp/7mra36O95IddiU7bUp2OJTstHdPDmPuctqV5LDLYSdUAVZl2Wc/AVZit9vCp5Ji+8+tMxCMBJy2ju7A0zv8+I33O4PG606j/UzPkBR+7fMH+533zE4d/qA6/EGpPba9TQPlsNsiQacr9LjCr5McvYNQ1+RynPX+WWGpa/ns95McdjkdNiU57Eo6a+7sem23K8lpl9NuI3QBCcAyoYbTTxhtksI/eNNT4vfIilAoJH8wFAk5kcDTGVS7v/fc12Pefo752YGpvdMISR2BYCQwdYZf+8LzngLBkNqCRjBLRHZb959LJBDZbb2CT1c4cjqM8HR2cHLajV4rp91+VpDqG6ySHcZ6Xe857DYlOWxy2I39Oe02OXsuO8Jt9q51jXn3e93b4FQjRiJOPwFIWKFQSJ2BUJ/Q4/P3DUMdgUB4Hupu8wd6reMLBNXpD3Wv22Mbvh6BqjMQUmfAWPYHQ+r0B9UZNNr84Xo6A0FZ63/P3uw2yekwwtC5AlDXe2cv9w5Y3cGr+/P2SLjqak+yh8NXOHg57DbZbca27TajzW7vfs9ht8lh634dea9H29mTM7zNPu/ZjFrsdkXmXdsh3A0fTj8BsDSbzWaMtXHaJZfZ1fQVCPYIP11BKByC/MGgOvwh+YPB8Dq9Q5G/R3DqDITC6/cOUf5A38/22UfAWM8fXj8QDIVfG9vsem20G8uBQEidwWC4/v6TWTAUPt04zMc00dht6h14wmGvK2gZgarHe3Z7JGD1DFrdgak7XDn7C18243N2myLBLhLcbDY57JLdduF2eyTgnb+96/P2HnX2DHSOnu096huT7FRORorZfzx9EGoAYJCMHyqOEf34jlAopGBIRuAJGIEoEOwOSl3BrSsA9QxHXWGpMxhUoEeI6l432CNg9d5m7+0b63b2CFzBYEiBkBQIh6/I1F9bMKRAyNhPMNS7LRAIz7v2Gwwp2DUPt59vzH0wJHUEglJAkoLnXnGU+djMSXp01QKzy+jDMqGGMTUAED2bzSaHTXLYHYrxWPYRIxTqEXhCZwWfswJTz/d6hafw68h7/QSq/tbvr71rn8FIm3oEsLPae6wbDBmhL9hje+drD4QDbVd7JBBGPqde7T1D4FhXYgZ5xtQAAADTxeLnNw+1AQAAlkCoAQAAlmCZUON2u1VQUKDi4mKzSwEAACZgTA0AADAdY2oAAADCCDUAAMASCDUAAMASLBNqGCgMAMDoxkBhAABgOgYKAwAAhBFqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJVgm1HCfGgAARjfuUwMAAEzHfWoAAADCCDUAAMASCDUAAMASCDUAAMASCDUAAMASEjLU/PGPf9SsWbN02WWX6Wc/+5nZ5QAAgBHAaXYBZ/P7/aqoqNBzzz2njIwMzZs3T7fccosmTpxodmkAACCBJVxPze7duzV79mxNnTpVY8eO1bJly/TMM8+YXRYAAEhwMQ81VVVVWr58uXJzc2Wz2bR9+/Y+67jdbs2YMUMpKSkqKSnR7t27I+8dO3ZMU6dOjSxPnTpVR48ejXWZAADAYmIearxerwoLC+V2u/t9f9u2baqoqND69eu1b98+FRYWaunSpWpoaIh1KQAAYBSJeahZtmyZvvvd7+qWW27p9/2NGzdq9erVWrlypQoKCrR582alpaVpy5YtkqTc3NxePTNHjx5Vbm7uOffn8/nk8Xh6TQAAYPQZ1jE1HR0dqq6uVmlpaXcBdrtKS0u1a9cuSdKCBQv05ptv6ujRo2ptbdXTTz+tpUuXnnObGzZsUEZGRmTKz8+P+/cAAACJZ1hDTVNTkwKBgLKzs3u1Z2dnq66uTpLkdDr1H//xH1q8eLGKior0jW9847xXPq1du1bNzc2R6ciRI3H9DgAAIDEl3CXdknTTTTfppptuGtC6LpdLLpdLbrdbbrdbgUAgztUBAIBENKw9NVlZWXI4HKqvr+/VXl9fr5ycnCFtu7y8XPv379eePXuGtB0AADAyDWuoSU5O1rx581RZWRlpCwaDqqys1MKFC4e0bbfbrYKCAhUXFw+1TAAAMALF/PRTa2urDh06FFmura1VTU2NMjMzNW3aNFVUVKisrEzz58/XggULtGnTJnm9Xq1cuXJI+y0vL1d5ebk8Ho8yMjKG+jUAAMAIE/NQs3fvXi1evDiyXFFRIUkqKyvT1q1btWLFCjU2NmrdunWqq6tTUVGRdu7c2WfwcLQYUwMAwOhmC4VCIbOLiKWunprm5malp6ebXQ4AABiAWPz8TrhnPwEAAAyGZUINA4UBABjdOP0EAABMx+knAACAMEINAACwBMuEGsbUAAAwujGmBgAAmI4xNQAAAGGEGgAAYAmWCTWMqQEAYHRjTA0AADAdY2oAAADCCDUAAMASCDUAAMASLBNqGCgMAMDoxkBhAABgOgYKAwAAhBFqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJVgm1HCfGgAARjfuUwMAAEzHfWoAAADCCDUAAMASCDUAAMASCDUAAMASCDUAAMASEjLU3HLLLZowYYJuu+02s0sBAAAjREKGmq997Wt69NFHzS4DAACMIAkZahYtWqRx48aZXQYAABhBog41VVVVWr58uXJzc2Wz2bR9+/Y+67jdbs2YMUMpKSkqKSnR7t27Y1ErAADAOUUdarxerwoLC+V2u/t9f9u2baqoqND69eu1b98+FRYWaunSpWpoaIisU1RUpDlz5vSZjh07NvhvAgAARjVntB9YtmyZli1bds73N27cqNWrV2vlypWSpM2bN2vHjh3asmWL1qxZI0mqqakZXLX98Pl88vl8kWWPxxOzbQMAgJEjpmNqOjo6VF1drdLS0u4d2O0qLS3Vrl27YrmriA0bNigjIyMy5efnx2U/AAAgscU01DQ1NSkQCCg7O7tXe3Z2turq6ga8ndLSUn3mM5/RU089pby8vPMGorVr16q5uTkyHTlyZND1AwCAkSvq00/D4S9/+cuA13W5XHK5XHK73XK73QoEAnGsDAAAJKqY9tRkZWXJ4XCovr6+V3t9fb1ycnJiuas+ysvLtX//fu3Zsyeu+wEAAIkppqEmOTlZ8+bNU2VlZaQtGAyqsrJSCxcujOWu+nC73SooKFBxcXFc9wMAABJT1KefWltbdejQochybW2tampqlJmZqWnTpqmiokJlZWWaP3++FixYoE2bNsnr9UauhoqX8vJylZeXy+PxKCMjI677AgAAiSfqULN3714tXrw4slxRUSFJKisr09atW7VixQo1NjZq3bp1qqurU1FRkXbu3Nln8DAwKoRCUqBT8rdLfp/kbwvP23vMe7zuPGs50GF8PujvnqJdDgYkhYxaes11jvaec0k2uzHZHZLNJtkcZ7XZw222vm2OpPCU3GM+0NfJUlKalJR61hRuc6Ya69ts5vzZAkg4tlCo63+uka3nQOGDBw+qublZ6enpZpeFkSYYkHweqb1Zag/PfR6pw9s9dZ6ROlrDy+HXnWfCy63hth7rhYJmfyvrsjl6BJ+UHq/TpOSxkmtceBorudKN173a08Pvjet+z+4w+1sBo1LXmZah/Py2TKjpEouDghHO75POnJTOnJDauuaneoeUs0NL13JHS3xrc6ZITtc55me3pXb3dNiTjB+2jiTJ7jxr+QLv2ezh3gxbj7nOWj7HXJIUMsJeKCiFAkYPTih4Vlsw3BbsbgsGunuOAh3dvU4Dfe1vlzrbjMnf1v2680x8g2JKhpQyXkqdEJ56vD5Xe2qmEaoADFosfn4n5CXdg8El3RYVChmBo7VBaq2XvI1GSDlzsjuw9AowJ43ekaFypkop6cYPuK7f4JPHSslpUvIYKWmMMT97irSHewoip0rCQYVTJUMXChmhp2fIOTv8dPWa+VokX6sRXH0tPdp6tHe0GoE22Glsv73ZmE6/H11dyeOkMVnS2MnSmEnG6zGTznodfi91gmRPyOcJAyMaPTUwR6BTajkutdQZYaW1vju4tDb2Xg74Lry9s9kcxg+OtIlSWmb4t+yMcEgJh5VIaEnvfq9r2Zkc+++MxOb3hXvvThs9e22npLaer0+d+71QlL9M2exSWpY0NltKnyKNmyKl5/adp04gCGPUoKcGiakrsDQflTxHJc+x8PxouO2YEVYURZ52pYd/A55shJS0id2BJW2i0f0fWc6UXBn8JozoOF3S2EnGFI2u3kRvk9GTGJmaJG9Dj9fh9rZTxukzb4Mx1b9xnppSpHE50rhcI/yk50rjp0vjpxlTRr4xJgiAJEINBiMUMnpRTr8vnXqvxxRe9hzVgAKLPcn4jXRctvEba1doGTs5vBxuGzvZOIUDJCKbLTy+ZryUdemF1w90GqdLWxuMnsqWY5LnuDFvqet+feaEMa6o69/XuaRN7A4546cZoScjv3uZ0INRxDKhhjE1MRYKGb0pTQfD06Hu/1xPv2+MYzgfR7LxW2X61PAUfp3R43VaFr0pGH0cSeHelxxpytxzr+f3GT2eXSHHc9z4heH0B8a/wdMfGD1EZ04Y07HX+t/O2Gwp8xJpYnjKvESaeKmUeRG/LMByGFMz2gX80sl3e4SXd7rnPs+5P2ezS+l50oTp4WmGNOEi47fECdMJLMBwaDstNR8JB51+pvbT5/98ep408WIj5Ey8TJo0S5p8hdGDylgeDDPG1CA6baekujel+jfD8zekhrfPPRDXZjeCStZMo1s98+JweJlh/GfIYFrAXF2nvXKu7P/9ttPGLy0nDksnDoVfhydfs+T50Jhqq3p/LiVDmnS5MU2+ons+Npuwg4RGT41VtZ2Wju2TjlZLR/dJx/9q/OfVn6Qx0qSZ4fByWXg+0wgxTtewlg1gGIRCximrE++Gg84ho4e24W3p5OFzX82VMt4IN9mzpSmFUs5cY5n/JxAD9NT0MKrH1ASDUuPb0vsvGSHmw73SiXf6X3f8NCn7SilnjpQ9x5iPn8GpImA0sdnC987JkqaV9H7P7zNOPze+LTW81T0/VWuczvpglzF1sScZPTlTCo0xQjlzjf9XXOOG9SsBEj01I1MwKDXsl957UXr/Rem9l4wbz51twgxp6nxp6jwpt8j47SqFh30CGITONiPsNLxlnLo+/rrRA9zvuB2bMU4nr1jKm29Mk2dLDsv8Ho044DEJ/bBsqGltlN6tlN55Rnr3WWN8TE9JaVL+Aim/pDvIjJloTq0ARodQyBiofPyvUt1fu+eeo33XTUqTcj9i/N+UV2xM6VOGv2YkLEJNPywVahoPSH/bLh3cGb5cs8cfVdIYo9t4xrXS9GuN/ywYuAsgEXibjLF8R/dKH+6RPqw2BiafLT1Pmv5RacY10vRrjN4dBiKPWoSafoz4UNN4UNq/XfrbE8Yppp5y5kqX/Z102RLjtx1HkiklAkBUgkFjnN+HXSFnr9Twt74PJh0zORxyrjXmk65gvN8oQqjpoedA4YMHD46sUONrld78vVS91bhiqYs9SbrkBumKT0mXLqGrFoB1+FqNnpz3XzbGBX64p+/tJdImShcvNv4fvGSxceNOWBahph8jqqem7g1p7xbpr49LHS1Gm91p/COefYt0+Y3GA+0AwOr8PuPqzfdfMkLOkd1Sp7f3OpMuDwecG4yenOQx5tSKuCDU9CPhQ00oZFy19MJ/SIef627PvFiad6dUeHv0D9QDAKsJdBq9N+8+K737nNGL3fN0lSNZmnGdNGuZMWXkmVcrYoJQ04+EDjXvvSj95T7pw93Gss0hFdwkzVtp/OPk3DEA9O/MSePOx10hp/mD3u/nzJVm3WgEnCmFDDgegQg1/UjIUHPiXenP66S3/2gsO1zSVV+QPvpV4zlJAICBC4WMe+YcfFo68LR05NXevTjpU41wU3CzcZrK7jCtVAwcoaYfCRVqAp3SCxulqh9KwU6jZ2bendL1/yyNyza3NgCwCm+TcQ+vA09Jh57tPRZnbLYRbubcKuUtoEc8gRFq+pEwoabxoPTE/w7fX0bG1Ut/911p8uXm1QQAVtfZLtX+j/TWf0tv/T+pvcf9cdKnGhdhFH7u3A8BhWkINf1IiFCz75fSU/dI/nbjsQSf3CjN+TTneAFgOPk7jAsy3vyD9PaO7qtMJSPUFP2DdOVnjGdgwXSEmh4S4j41waD0zL9IrzxoLF/ycenvH+DeCgBgts5241Ezf91mjMMJdBjtdqd02VKp6HZp5lJuamoiQk0/TOupCfilJ79i/IORpEX/n3T9t+idAYBEc+akccPTml/3vuHpuCnGuMeryrjZqQkINf0wJdQEg9ITX5Le+K0xGPiWn0pzPzM8+wYADF7DW0a4ef0xydtgtNkcxp3ci1cbj2zgl9NhQajphymh5plvSy//xOjG/OwvjTsBAwBGDn+HMbh4z8+lD17ubp90uVTyT1Lh56WkFPPqGwUINf0Y9lDz5u+l360yXt+8WSr6fPz3CQCIn7o3pb0/l17f1n15+JjJ0tVfluavklLHm1qeVRFq+jGsoeZkrfTTj0k+j3TdN6SPr4vv/gAAw6fdI732X9Iut+T50GhLHifNv1O6+itcBBJjhJp+DFuoCYWkR28ybtudXyLd+ZTkcMZvfwAAcwQ6jV75l34sNew32uxJ0kf+QbruHml8vrn1WUQsfn4n3K0Vjxw5okWLFqmgoEBz587V448/bnZJ/TvwtBFoHC5jYDCBBgCsyZFk3LDvyy9Lt/9WmvZR4y7x1Vul/7xKeupbUkud2VVCCdhTc/z4cdXX16uoqEh1dXWaN2+eDh48qDFjBvaI+WHpqfF3SA9eLZ18V7q2QipdH5/9AAAS0/u7pGe/K73/orHsTJUWrJau/T9SWqa5tY1QluypmTJlioqKiiRJOTk5ysrK0smTJ80t6mxv/bcRaMZMkq6rMLsaAMBwm75QuvOP0h1PGs+U8rcZV8H+5CPSK5uNU1YYdlGHmqqqKi1fvly5ubmy2Wzavn17n3XcbrdmzJihlJQUlZSUaPfu3YMqrrq6WoFAQPn5CXa+cu8jxnz+/5Jc48ytBQBgDptNuniR9L+ekW5/XJpcILWflnb+s9Gbf+BpY/wlhk3Uocbr9aqwsFBut7vf97dt26aKigqtX79e+/btU2FhoZYuXaqGhobIOkVFRZozZ06f6dixY5F1Tp48qTvuuEMPPfTQIL5WHDUeNLobbXbpqjvMrgYAYDabTZr5d9KXXpA+tcnoxT9xSPrN56Rf3iydeNfsCkeNIY2psdlseuKJJ3TzzTdH2kpKSlRcXKwHHnhAkhQMBpWfn6+7775ba9asGdB2fT6flixZotWrV+sLX/jCBdf1+XyRZY/Ho/z8/PiNqfnTv0i7HpBmLpNufyz22wcAjGztHumF/zCeAxjoMC4o+dg90jVfk5wus6tLWAk3pqajo0PV1dUqLS3t3oHdrtLSUu3atWtA2wiFQrrzzjt1ww03XDDQSNKGDRuUkZERmeJ+qurA08b8I/8Y3/0AAEamlHRpyX1S+avSJTdIAZ/03PekzddJ77984c9j0GIaapqamhQIBJSdnd2rPTs7W3V1A7vc7aWXXtK2bdu0fft2FRUVqaioSG+88cY511+7dq2am5sj05EjR4b0Hc6rtcEYICybNOOa+O0HADDyZV4s/eMfpE//3Dgl1XRAemSZ9McKqcNrdnWWlHA3V7n22msVDAYHvL7L5ZLL5ZLb7Zbb7VYgEIhfcR+8YswnF0ipE+K3HwCANdhs0pW3SZd+XPrLd4x72+z9uXT4eenWh6S8+SYXaC0x7anJysqSw+FQfX19r/b6+nrl5OTEcld9lJeXa//+/dqzZ0/8dvJB+BTa9IXx2wcAwHpSJ0jLfyx9YbuUPtXo9f/530nPbeDy7xiKaahJTk7WvHnzVFlZGWkLBoOqrKzUwoXxDQJut1sFBQUqLi6O3066Qs00Qg0AYBAuWSx9+SXpys9IoYD0P/9mhJtT75ldmSVEHWpaW1tVU1OjmpoaSVJtba1qamr0wQcfSJIqKir08MMP6xe/+IXeeustffnLX5bX69XKlStjWvjZ4t5T42uVjv/VeE2oAQAMVuoE6dM/M8bapGRIx/YZD0fuuhAFgxb1mJq9e/dq8eLFkeWKCuOOumVlZdq6datWrFihxsZGrVu3TnV1dSoqKtLOnTv7DB4ecT7cY6TqjGlSxlSzqwEAjHRX3iZNu1p6/E7jZ8xvPidd83Xp4+sku8Ps6kakhHv202D1HCh88ODB2N+n5oNXjVtgZ+RJy34Qu+0CAEY3f4f053XSq//XWL60VLpti9GLM4rE4j41lgk1XYblgZYAAMTam7+Xtpcbz5HKmmXc4DXzYrOrGjYJd/M9AAAwSHM+La16Who3xbinzcM3dN9KBANimVAzLFc/AQAQT7kfkVY/J+VeJbWdkh79ewYQR4HTTwAAJJqOM8YA4nf+JNkc0k0/sfzjeTj9BACAFSWnSZ/7lVR4u3Hl7ZPl0iv/1+yqEp5lQg2nnwAAluJIkm5+UProV43lnWsINhfA6ScAABJZKCQ9+13phfuN5U/8m3T1l82tKQ44/QQAgNXZbNIN90rX3WMs71wj7fmZuTUlKEINAACJLhJsvmEs77hH2v+kuTUlIMuEGsbUAAAszWaTbvi2NG+lpJD0+y9K771odlUJhTE1AACMJMGA9Ns7pLf/KLnSpVU7pezZZlc1ZIypAQBgtLE7jCd8T/uo5PMYD8L0njC7qoRAqAEAYKRJSjHuYzPhIun0B9Lv7pQCfrOrMh2hBgCAkSgtU/rcr6WkMVJtlfTnb5tdkeksE2oYKAwAGHWyC6RbNhuvX3lQen2bufWYjIHCAACMdM9+T6r6dyl5rPSlKmniJWZXFDUGCgMAAGnRGmn6NVJHq/SH/y0FOs2uyBSEGgAARjq7Q7rlp1JKhnR0r/Q//252RaYg1AAAYAXj86VPbTJev3C/9P4uU8sxA6EGAACrmHOrVHi7FApKT5ZLne1mVzSsCDUAAFjJsh9IY3Okk+9KL/7I7GqGFaEGAAArSUmXlv2b8frFjVLTIXPrGUaWCTXcpwYAgLCCm6VLl0iBDmnH/5GsdfeWc+I+NQAAWNHJWunBqyV/u3TLQ1LhCrMrOi/uUwMAAPqXeZF0/beM139eJ3V4za1nGBBqAACwqoV3SeOnS6110i632dXEHaEGAACrcrqk0vXG6xc3Sa0NppYTb4QaAACsbPat0tR5UqfX8pd4E2oAALAym0264V7j9Z6fS57j5tYTRwkXak6fPq358+erqKhIc+bM0cMPP2x2SQAAjGwXL5byr5YCPkv31iTcJd2BQEA+n09paWnyer2aM2eO9u7dq4kTJw7o81zSDQBAPw4/Lz3695IzRfr6m9LYSWZX1IslL+l2OBxKS0uTJPl8PoVCISVY7gIAYOS56HpjbI2/Xdr9kNnVxEXUoaaqqkrLly9Xbm6ubDabtm/f3mcdt9utGTNmKCUlRSUlJdq9e3dU+zh9+rQKCwuVl5enb37zm8rKyoq2TAAA0JPNJl3zNeP17ockX6u59cRB1KHG6/WqsLBQbnf/17tv27ZNFRUVWr9+vfbt26fCwkItXbpUDQ3dl5F1jZc5ezp27Jgkafz48Xr99ddVW1urX//616qvrx/k1wMAABGXf0rKvERqPy29/huzq4m5IY2psdlseuKJJ3TzzTdH2kpKSlRcXKwHHnhAkhQMBpWfn6+7775ba9asiXofX/nKV3TDDTfotttu6/d9n88nn88XWfZ4PMrPz2dMDQAA/Xn1Ienpb0pZs6TyV40enASQcGNqOjo6VF1drdLS0u4d2O0qLS3Vrl27BrSN+vp6tbS0SJKam5tVVVWlWbNmnXP9DRs2KCMjIzLl5+cP7UsAAGBlhZ+TksZITQek914wu5qYimmoaWpqUiAQUHZ2dq/27Oxs1dXVDWgb77//vq677joVFhbquuuu0913360rr7zynOuvXbtWzc3NkenIkSND+g4AAFhaSnr3wy13W+u2KU6zCzjbggULVFNTM+D1XS6XXC6X3G633G63AoFA/IoDAMAKir8o7d0iHXhK8jZJY6xxQU5Me2qysrLkcDj6DOytr69XTk5OLHfVR3l5ufbv3689e/bEdT8AAIx42bOl3I9IQb/0xuNmVxMzMQ01ycnJmjdvniorKyNtwWBQlZWVWrhwYSx31Yfb7VZBQYGKi4vjuh8AACyh8HZjXvMrc+uIoahDTWtrq2pqaiKniGpra1VTU6MPPvhAklRRUaGHH35Yv/jFL/TWW2/py1/+srxer1auXBnTws9GTw0AAFG48jbJniTVvWFMFhD1mJq9e/dq8eLFkeWKigpJUllZmbZu3aoVK1aosbFR69atU11dnYqKirRz584+g4cBAICJ0jKlWZ+Q3vp/ximonHNflDNSJNyznwar50DhgwcPcp8aAAAu5M0/SL9bKU2YIX21xtR71sTiPjWWCTVdeKAlAAAD5GuVfnip5G+TvlQlTSk0rZSEu/keAAAYQVxjpcvCN8zd/6S5tcSAZUINVz8BADAIBTcbcwuEGk4/AQAwmvlapB9cJAU7pbv3SRMvMaUMTj8BAIChcY2TpofvJffOM+bWMkSWCTWcfgIAYJAuXWLM3/mzuXUMEaefAAAY7Rrelh4skRwu6Z/fk5LThr0ETj8BAIChmzRLysiXAj7pvRfNrmbQCDUAAIx2Npt0afjS7sPPmVvLEFgm1DCmBgCAIZhxrTF//yVz6xgCxtQAAADJc1zaeLlksxvjalIyhnf3jKkBAAAxkT5FyrxYCgWlI7vNrmZQCDUAAMAw/aPGfIQOFibUAAAAw/RrjPn7L5tbxyARagAAgKGrp+bYPqmzzdxaBsEyoYarnwAAGKLx06Uxk6SgX6p70+xqomaZUFNeXq79+/drz549ZpcCAMDIZLNJU4qM18drzKxkUCwTagAAQAzkFhnzYzVmVjEohBoAANCNnhoAAGAJXT01DW+NuMHChBoAANAtfaqUliWFAlL938yuJiqEGgAA0M1m6zGu5jVTS4mWZUINl3QDABAjUwqNed0b5tYRJcuEGi7pBgAgRiZdYcyb3jG3jihZJtQAAIAYybrMmDcdNLeOKBFqAABAb12h5kyTdOakubVEgVADAAB6Sx4jZeQbr0dQbw2hBgAA9DUCT0ERagAAQF9ZM405oWbozpw5o+nTp+uee+4xuxQAAEafrp6aRkLNkH3ve9/T1VdfbXYZAACMTlmzjDk9NUPzzjvv6O2339ayZcvMLgUAgNGp6/TT6felznZzaxmgqENNVVWVli9frtzcXNlsNm3fvr3POm63WzNmzFBKSopKSkq0e/fuqPZxzz33aMOGDdGWBgAAYmXsZCl5nBQKSqc/MLuaAYk61Hi9XhUWFsrtdvf7/rZt21RRUaH169dr3759Kiws1NKlS9XQ0BBZp6ioSHPmzOkzHTt2TE8++aRmzpypmTNnDv5bAQCAobHZpIypxmvPh+bWMkDOaD+wbNmy854W2rhxo1avXq2VK1dKkjZv3qwdO3Zoy5YtWrNmjSSppqbmnJ9/5ZVX9Nhjj+nxxx9Xa2urOjs7lZ6ernXr1vW7vs/nk8/niyx7PJ5ovxIAAOhPRp7U+LbUPDJCTUzH1HR0dKi6ulqlpaXdO7DbVVpaql27dg1oGxs2bNCRI0f03nvv6f7779fq1avPGWi61s/IyIhM+fn5Q/4eAABAUnq4p6b5qLl1DFBMQ01TU5MCgYCys7N7tWdnZ6uuri6Wu4pYu3atmpubI9ORI0fish8AAEadjDxjbtXTT8PpzjvvvOA6LpdLLpdLbrdbbrdbgUAg/oUBADAadIWa0Xj6KSsrSw6HQ/X19b3a6+vrlZOTE8td9VFeXq79+/drz549cd0PAACjxmg+/ZScnKx58+apsrIy0hYMBlVZWamFCxfGcld9uN1uFRQUqLi4OK77AQBg1OjZUxMKmVvLAER9+qm1tVWHDh2KLNfW1qqmpkaZmZmaNm2aKioqVFZWpvnz52vBggXatGmTvF5v5GqoeCkvL1d5ebk8Ho8yMjLiui8AAEaF9Fxj7m+T2k5JaZnm1nMBUYeavXv3avHixZHliooKSVJZWZm2bt2qFStWqLGxUevWrVNdXZ2Kioq0c+fOPoOHAQBAgktKldKypDNNRm9NgocaWyg0AvqTBqDnQOGDBw+qublZ6enpZpcFAMDI9tPrpeM10ud+I11+Y9x203WmZSg/vxPy2U+DwUBhAADiIHJZd+IPFrZMqAEAAHEQuQIq8e8DZ5lQw9VPAADEQeT5T8fMrWMALBNqOP0EAEAcpGUZ8zMnza1jACwTagAAQBykTjDmbafMrWMALBNqOP0EAEAcdF3G3UZPzbDh9BMAAHFATw0AALCE1HBPTXuzFPCbW8sFEGoAAMC5pY7vft3ebFoZA2GZUMOYGgAA4sCRJLnCd/hN8HE1lgk1jKkBACBORsi4GsuEGgAAECddoSbB71VDqAEAAOcXuaybnhoAADCSRU4/0VMDAABGslR6aoYVVz8BABAnjKkZXlz9BABAnDCmBgAAWAJjagAAgCUwpgYAAFhCZEwNoQYAAIxkjKkBAACW0NVT09Ei+TvMreU8LBNquKQbAIA4ScmQZDNet582s5Lzskyo4ZJuAADixO4IBxsl9L1qLBNqAABAHCWPMeadZ8yt4zwINQAA4MIcycY8wJgaAAAwkjldxtzvM7eO8yDUAACAC+sKNfTUAACAEc2R+D01TrML6M+MGTOUnp4uu92uCRMm6LnnnjO7JAAARrdITw2hJmovv/yyxo4da3YZAABA6h4onMA9NZx+AgAAF2bFgcJVVVVavny5cnNzZbPZtH379j7ruN1uzZgxQykpKSopKdHu3buj2ofNZtP111+v4uJi/epXv4q2RAAAEGsj4JLuqE8/eb1eFRYWatWqVbr11lv7vL9t2zZVVFRo8+bNKikp0aZNm7R06VIdOHBAkydPliQVFRXJ7/f3+ewzzzyj3Nxcvfjii5o6daqOHz+u0tJSXXnllZo7d+4gvh4AAIgJZ4oxT+CemqhDzbJly7Rs2bJzvr9x40atXr1aK1eulCRt3rxZO3bs0JYtW7RmzRpJUk1NzXn3MXXqVEnSlClTdOONN2rfvn3nDDU+n08+X/cB9ng80XwdAAAwEM6unprEDTUxHVPT0dGh6upqlZaWdu/Abldpaal27do1oG14vV61tLRIklpbW/Xss89q9uzZ51x/w4YNysjIiEz5+flD+xIAAKCvyCXdiXv6KaahpqmpSYFAQNnZ2b3as7OzVVdXN6Bt1NfX69prr1VhYaGuvvpq3XHHHed98vbatWvV3NwcmY4cOTKk7wAAAPoRGSjcbm4d55Fwl3RffPHFev311we8vsvlksvlktvtltvtViAQiGN1AACMUiNgoHBMe2qysrLkcDhUX1/fq72+vl45OTmx3FUf5eXl2r9/v/bs2RPX/QAAMCpZ8ZLu80lOTta8efNUWVkZaQsGg6qsrNTChQtjuas+3G63CgoKznuqCgAADNIIePZT1KefWltbdejQochybW2tampqlJmZqWnTpqmiokJlZWWaP3++FixYoE2bNsnr9UauhoqX8vJylZeXy+PxKCMjI677AgBg1LHis5/27t2rxYsXR5YrKiokSWVlZdq6datWrFihxsZGrVu3TnV1dSoqKtLOnTv7DB4GAAAjyAi4pDvqULNo0SKFQqHzrnPXXXfprrvuGnRRg8FAYQAA4mgE9NRY5tlPDBQGACCORttAYQAAYFEjYKCwZUINVz8BABBHnH4aPpx+AgAgjpyj7OZ7AADAohyJ/5gEy4QaTj8BABBHzlH2QEszcfoJAIA4ciT+fWosE2oAAEAcOVOMOQOFAQDAiMZA4eHDmBoAAOKIS7qHD2NqAACIo66BwqGAFPCbW8s5WCbUAACAOOoaKCwl7GBhQg0AALiwrp4aKWFPQRFqAADAhdmdki0cGxJ0sDChBgAAXJjNlvCDhS0Tarj6CQCAOEvwy7otE2q4+gkAgDhL8Oc/WSbUAACAOEvw5z8RagAAwMB0hRou6QYAACMaA4UBAIAlMFAYAABYAj01w4NLugEAiLOunhpCTXxxSTcAAHHmYKAwAACwAiennwAAgBVELulmoDAAABjJGCgMAAAsgUu6AQCAJfDsp+jV1tZq8eLFKigo0JVXXimv12t2SQAAIMEHCjvNLqA/d955p7773e/quuuu08mTJ+VyucwuCQAAJPhA4YQLNX/729+UlJSk6667TpKUmZlpckUAAECS9QYKV1VVafny5crNzZXNZtP27dv7rON2uzVjxgylpKSopKREu3fvHvD233nnHY0dO1bLly/XVVddpe9///vRlggAAOIhwQcKR91T4/V6VVhYqFWrVunWW2/t8/62bdtUUVGhzZs3q6SkRJs2bdLSpUt14MABTZ48WZJUVFQkv9/f57PPPPOM/H6/XnjhBdXU1Gjy5Mn6xCc+oeLiYi1ZsmQQXw8AAMRMgvfURB1qli1bpmXLlp3z/Y0bN2r16tVauXKlJGnz5s3asWOHtmzZojVr1kiSampqzvn5qVOnav78+crPz5ck3XjjjaqpqTlnqPH5fPL5ug+ux+OJ9isBAICBGE3Pfuro6FB1dbVKS0u7d2C3q7S0VLt27RrQNoqLi9XQ0KBTp04pGAyqqqpKV1xxxTnX37BhgzIyMiJTVxgCAAAx5kwx5qPh2U9NTU0KBALKzs7u1Z6dna26uroBbcPpdOr73/++Pvaxj2nu3Lm67LLL9KlPfeqc669du1bNzc2R6ciRI0P6DgAA4ByyZ0vXVkhzbjO7kn4l3NVP0oVPcfXkcrnkcrnkdrvldrsVCATiXB0AAKPUlEJjSlAx7anJysqSw+FQfX19r/b6+nrl5OTEcld9lJeXa//+/dqzZ09c9wMAABJTTENNcnKy5s2bp8rKykhbMBhUZWWlFi5cGMtd9eF2u1VQUKDi4uK47gcAACSmqE8/tba26tChQ5Hl2tpa1dTUKDMzU9OmTVNFRYXKyso0f/58LViwQJs2bZLX641cDRUv5eXlKi8vl8fjUUZGRlz3BQAAEk/UoWbv3r1avHhxZLmiokKSVFZWpq1bt2rFihVqbGzUunXrVFdXp6KiIu3cubPP4GEAAIBYsoVCoZDZRcRCz4HCBw8eVHNzs9LT080uCwAADEDXmZah/Py2TKjpEouDAgAAhlcsfn7HdKAwAACAWSwTarj6CQCA0Y3TTwAAwHScfgIAAAizTKjh9BMAAKMbp58AAIDpOP0EAAAQlpBP6R6Kro4nj8djciUAAGCgun5uD+UEkuVCTUtLiyQpPz/f5EoAAEC0WlpaBv0MR8uNqQkGgzp27JjGjRsnm80Wk216PB7l5+fryJEjjNOJEsducDhug8NxGzyO3eBw3Aanv+MWCoXU0tKi3Nxc2e2DGx1juZ4au92uvLy8uGw7PT2dv7SDxLEbHI7b4HDcBo9jNzgct8E5+7gNtoemCwOFAQCAJRBqAACAJRBqBsDlcmn9+vVyuVxmlzLicOwGh+M2OBy3wePYDQ7HbXDiddwsN1AYAACMTvTUAAAASyDUAAAASyDUAAAASyDUAAAASyDUSKqqqtLy5cuVm5srm82m7du3X/Azzz//vK666iq5XC5deuml2rp1a9zrTDTRHrfjx4/r9ttv18yZM2W32/X1r399WOpMRNEeuz/84Q9asmSJJk2apPT0dC1cuFB/+tOfhqfYBBLtcXvxxRd1zTXXaOLEiUpNTdXll1+uH/3oR8NTbAIZzP9xXV566SU5nU4VFRXFrb5EFu2xe/7552Wz2fpMdXV1w1NwghjM3zmfz6d/+Zd/0fTp0+VyuTRjxgxt2bIlqv0SaiR5vV4VFhbK7XYPaP3a2lp98pOf1OLFi1VTU6Ovf/3r+uIXvzjqfshEe9x8Pp8mTZqke++9V4WFhXGuLrFFe+yqqqq0ZMkSPfXUU6qurtbixYu1fPlyvfbaa3GuNLFEe9zGjBmju+66S1VVVXrrrbd077336t5779VDDz0U50oTS7THrcvp06d1xx136OMf/3icKkt8gz12Bw4c0PHjxyPT5MmT41RhYhrMcfvsZz+ryspK/fznP9eBAwf0m9/8RrNmzYpuxyH0Iin0xBNPnHedb33rW6HZs2f3aluxYkVo6dKlcawssQ3kuPV0/fXXh772ta/FrZ6RJNpj16WgoCB03333xb6gEWKwx+2WW24J/eM//mPsCxohojluK1asCN17772h9evXhwoLC+Na10gwkGP33HPPhSSFTp06NSw1jQQDOW5PP/10KCMjI3TixIkh7YuemkHYtWuXSktLe7UtXbpUu3btMqkijDbBYFAtLS3KzMw0u5QR5bXXXtPLL7+s66+/3uxSEt4jjzyiw4cPa/369WaXMiIVFRVpypQpWrJkiV566SWzy0l4//3f/6358+fr3//93zV16lTNnDlT99xzj9ra2qLajuUeaDkc6urqlJ2d3astOztbHo9HbW1tSk1NNakyjBb333+/Wltb9dnPftbsUkaEvLw8NTY2yu/36zvf+Y6++MUvml1SQnvnnXe0Zs0avfDCC3I6+TERjSlTpmjz5s2aP3++fD6ffvazn2nRokV69dVXddVVV5ldXsI6fPiwXnzxRaWkpOiJJ55QU1OTvvKVr+jEiRN65JFHBrwd/rYCI8yvf/1r3XfffXryySdH3Xn6wXrhhRfU2tqqV155RWvWrNGll16qz3/+82aXlZACgYBuv/123XfffZo5c6bZ5Yw4s2bN6jUO5KMf/ajeffdd/ehHP9Ivf/lLEytLbMFgUDabTb/61a8iT+reuHGjbrvtNj344IMD7iwg1AxCTk6O6uvre7XV19crPT2dXhrE1WOPPaYvfvGLevzxx/ucAsW5XXTRRZKkK6+8UvX19frOd75DqDmHlpYW7d27V6+99pruuusuScYPnFAoJKfTqWeeeUY33HCDyVWOLAsWLNCLL75odhkJbcqUKZo6dWok0EjSFVdcoVAopA8//FCXXXbZgLZDqBmEhQsX6qmnnurV9uc//1kLFy40qSKMBr/5zW+0atUqPfbYY/rkJz9pdjkjVjAYlM/nM7uMhJWenq433nijV9uDDz6oZ599Vr/73e8iAREDV1NToylTpphdRkK75ppr9Pjjj6u1tVVjx46VJB08eFB2u115eXkD3g6hRlJra6sOHToUWa6trVVNTY0yMzM1bdo0rV27VkePHtWjjz4qSfqnf/onPfDAA/rWt76lVatW6dlnn9Vvf/tb7dixw6yvYIpoj5tk/OPu+mxjY6NqamqUnJysgoKC4S7fVNEeu1//+tcqKyvTj3/8Y5WUlETueZGamtrrNxuri/a4ud1uTZs2TZdffrkk49L4+++/X1/96ldNqd8s0Rw3u92uOXPm9Pr85MmTlZKS0qd9NIj279ymTZt00UUXafbs2Wpvb9fPfvYzPfvss3rmmWfM+gqmiPa43X777frXf/1XrVy5Uvfdd5+ampr0zW9+U6tWrYruDMiQrp2yiK5L8M6eysrKQqFQKFRWVha6/vrr+3ymqKgolJycHLr44otDjzzyyLDXbbbBHLf+1p8+ffqw1262aI/d9ddff971R4toj9tPfvKT0OzZs0NpaWmh9PT00Ec+8pHQgw8+GAoEAuZ8AZMM5t9qT6P5ku5oj90PfvCD0CWXXBJKSUkJZWZmhhYtWhR69tlnzSneRIP5O/fWW2+FSktLQ6mpqaG8vLxQRUVF6MyZM1Ht1xYKhUIDj0AAAACJifvUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAAS/j/AePADS54pcwxAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(W, F(W))\n", + "plt.plot(W, Ph(W))\n", + "plt.yscale(\"log\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "15f95fd3-f4a3-4753-a00c-4a876bfa54f8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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a4R0x57W2UFnJceiKBi9+uRtf7jiDMt51IiKiv2BoojpPEAS83sEDiZMjEOnnhLIKEXMTT+OlRak4dlUjdXlERGQiGJqI/uCsssJXQztgwYBANLCxxPFsLV5alIovfjmFkvIKqcsjIiKJMTQR/YUgCHgpsDES341AzzYuKNeJWLjzLHp/mYJDl/OlLo+IiCTE0ET0AI3qK7HkjSAseaM9HOopcDq3EC8vScXs7Sd514mIqI5iaCJ6hJ5tXJE4OQIvBbpBJwJLk86h95cpOHKFY52IiOoahiaix7Cvp8CCAe2wfEgQHG3v3nXquyQVXySeRmk537AjIqorGJqIDBTl74Jf3o1Ar7auqNCJWLjjDPouTsWJbK3UpRER0VPA0ERkBPt6Ciwe1B6LBrVDwz/esOuzKAWLdp7hbOJERLUcQxNRFbzY1g2/vBuBbq2cUVYh4vNfTuPVpXtw9hpnEyciqq0YmoiqqFF9JZYPCcK8/gGVs4n3XJiCFcnnUKETpS6PiIiqGUMT0RMQBAEvt3NH4uQIdPW9u4bdpz+dRL/laci8USR1eUREVI0YmoiqgbPKCquHdcRnr7aFrVKOjIu30GNBMmJSM6HjXSciolrB6NCUnJyM3r17w83NDYIgYPPmzY89JikpCe3bt4dSqYSPjw9iY2ON7nPYsGEQBEFv6969u94+N2/exBtvvAGVSoUGDRpg5MiRKCws1Nvn8OHD6Ny5M6ysrODh4YHPPvvM2EtA9ECCIKBfRw8kvNsF4T6OuFOmwyc/HsfAr9Jx+eZtqcsjIqInZHRoKioqQkBAABYvXmzQ/pmZmejVqxe6du0KtVqNSZMmYdSoUUhISDC6z+7duyM7O7tyW7dund7nb7zxBo4dO4bExERs27YNycnJGDNmTOXnWq0W3bp1g5eXFzIyMjBnzhzMmDEDK1asMOIKED1a4wbW+HpkJ/y3b2vYKCywN/MmouYn43/pFyGKvOtERGSuBPEJ/isuCALi4uLQt2/fh+4zbdo0xMfH4+jRo5VtAwYMQH5+PrZv325wn8OGDUN+fv5D72ydOHECrVq1wv79+9GhQwcAwPbt29GzZ09cuXIFbm5uWLp0KT788EPk5ORAoVAAAN5//31s3rwZJ0+eNOictVot7OzsoNFooFKpDDqG6q5Lebcx5ftD2Jt5EwAQ7uOIz15rC7cG1hJXRkRUt1TH73eNj2lKS0tDZGSkXltUVBTS0tKM7ispKQlOTk7w9fXFW2+9hby8PL3vadCgQWVgAoDIyEjIZDLs3bu3cp8uXbpUBqZ7tZw6dQq3bt164HeWlJRAq9XqbUSG8nSwwbrRz+BfL7aClaUMKWdvIGp+MjYduMK7TkREZqbGQ1NOTg6cnZ312pydnaHValFcXGxwP927d8fatWuxY8cOzJ49G7/99ht69OiBioqKyu9xcnLSO0Yul8Pe3h45OTmPrOXeZw8yc+ZM2NnZVW4eHh4G10wEADKZgBHh3vhpYme082yAgjvlmLzhEMZ9cwA3i0qlLo+IiAxkNm/PDRgwAH369EGbNm3Qt29fbNu2Dfv370dSUlKNfu/06dOh0Wgqt8uXL9fo91Ht1bSRLTa+GYJ/dGsBuUzAz0dz0G1eMnaezJW6NCIiMkCNhyYXFxfk5ur/KOTm5kKlUsHauurjOpo2bQpHR0ecPXu28nuuXbumt095eTlu3rwJFxeXR9Zy77MHUSqVUKlUehtRVcktZBj/XHNsfjsMzZ1scaOwBCNif8f0TYdRVFIudXlERPQINR6aQkJCsGPHDr22xMREhISEPFG/V65cQV5eHlxdXSu/Jz8/HxkZGZX77Ny5EzqdDsHBwZX7JCcno6ysTK8WX19fNGzY8InqITJG68Z2+HFCOEaFe0MQgHX7LqPHgt3Yf+Gm1KUREdFDGB2aCgsLoVaroVarAdydUkCtVuPSpUsA7j7OGjp0aOX+Y8eOxfnz5zF16lScPHkSS5YswYYNG/Duu+8a3GdhYSGmTJmC9PR0XLhwATt27MBLL70EHx8fREVFAQD8/PzQvXt3jB49Gvv27UNqairGjx+PAQMGwM3NDQAwaNAgKBQKjBw5EseOHcN3332HBQsWYPLkycZfOaInZGVpgY9ebIVvRz2Dxg2scenmbfRbnoZZP59ESXmF1OUREdHfiUbatWuXCOC+LTo6WhRFUYyOjhYjIiLuOyYwMFBUKBRi06ZNxZiYGKP6vH37ttitWzexUaNGoqWlpejl5SWOHj1azMnJ0esnLy9PHDhwoGhrayuqVCpx+PDhYkFBgd4+hw4dEsPDw0WlUik2btxYnDVrllHnr9FoRACiRqMx6jiiR9EWl4rvbVCLXtO2iV7TtolR834Tj1/l3zEioupSHb/fTzRPU13EeZqoJiUcy8EHm44gr6gUlhYCJr/gizFdmsJCJkhdGhGRWTOLeZqIyHBR/i5IeLcLIv2cUVYhYvb2k+i/PA2X8rgMCxGR1BiaiEyMo60SXw0Nwmev3V389/eLt9B9QTLW7bvECTGJiCTE0ERkggRBQL8OHvj5nc7o5G2P26UVmL7pCEau+R3XCu5IXR4RUZ3E0ERkwjzsbbB+9DP4sKcfFBYy7Dx5DVHzkrH96INnsCcioprD0ERk4mQyAaO7NMWPE8LRylWFW7fLMPZ/GZj6/SFOiElE9BQxNBGZCV+X+tj8dhjGRjSDIAAbfr+Cngt348ClBy82TURE1YuhiciMKOQyvN+jJdaNfgZudla4mHcbry9Lw/xfT6O8Qid1eUREtRpDE5EZeqapA36e1AUvBbqhQidi/q9n8PryNFzMK5K6NCKiWouhichM2VlbYsGAdlgwIBD1reQ4eCkfPRfsxobfL3NqAiKiGsDQRGTmXgpsXDk1QVFpBaZ+fxhv/e8AbhWVSl0aEVGtwtBEVAu4N7TButHPYFr3lrC0ELD9WA6i5idj95nrUpdGRFRrMDQR1RIWMgFvPdsMcePC0KxRPVwrKMGQVfvw7x+P405ZhdTlERGZPYYmolqmdWM7bJvQGUOe8QIArE7NxEuLUnEiWytxZURE5o2hiagWslZY4D99WyNmWEc42ipwKrcALy1Kxcrd56HTcZA4EVFVMDQR1WJdWzph+6QuiPRzQmmFDv+NP4Ehq/ciR8P164iIjMXQRFTLOdoq8dXQDvi/l1vDylKG1LN5iJqfjJ+OZEtdGhGRWWFoIqoDBEHAG8FeiJ/YGW3d7aApLsO4bw7gHxsPoZDr1xERGYShiagOadbIFj+8FYrxXX0gE4DvM67gxYW7cehyvtSlERGZPIYmojrG0kKGf0T5Yv2YELjZWeFC3m28unQPlv12joPEiYgegaGJqI7q5G2Pn9/pgp5tXFCuEzHr55MYvGovcrUcJE5E9CAMTUR1mJ2NJRYPao/PXm0La0sL7DmXh+7zk5F4PFfq0oiITA5DE1EdJwgC+nX0wLaJ4WjdWIVbt8sweu3v+Ofmo5xJnIjoLxiaiAjAn4PEx3RpCgD4Ov0ien+ZwpnEiYj+wNBERJWUcgt80NMPa0d0gqOtEmeuFeKlxamITc2EKHKQOBHVbQxNRHSfLi0aYfukzniupRNKy3WY8eNxjFzzO/IKS6QujYhIMgxNRPRAjrZKrIrugE/6+EMhl2HnyWvovmA3kk9fl7o0IiJJMDQR0UMJgoDo0CbY8nYYmjvZ4npBCYau3of/iz+OknIOEieiuoWhiYgey89VhR8nhGPIM14AgK92Z+KVJXtw7nqhxJURET09DE1EZBArSwv8p29rrBgShAY2ljh2VYsXF6Zg/b5LHCRORHUCQxMRGaWbvwu2v9MFoc0cUFxWgfc3HcHb3x6A5naZ1KUREdUohiYiMpqLnRX+NzIY7/doCblMwE9HctBz4W5kXLwldWlERDWGoYmIqkQmEzA2ohl+eCsUnvY2yMovRr/laVi86ywX/iWiWomhiYieSIBHA8RPDEfvADdU6ETMSTiFoav34VoBF/4lotqFoYmInlh9K0ssHBCIz15tCytLGVLO3kBPzulERLUMQxMRVYvKhX8nhKOlS33cKCzF0NX7MOvnkyir0EldHhHREzM6NCUnJ6N3795wc3ODIAjYvHnzY49JSkpC+/btoVQq4ePjg9jY2Cfqc+zYsRAEAfPnz9f7DkEQHrjt378fAHDhwoUHfp6enm7kVSCih/Fxqo/Nb4dh8DOeAIBlv53D68vScPnmbYkrIyJ6MkaHpqKiIgQEBGDx4sUG7Z+ZmYlevXqha9euUKvVmDRpEkaNGoWEhIQq9RkXF4f09HS4ubnptYeGhiI7O1tvGzVqFLy9vdGhQwe9fX/99Ve9/YKCggw6FyIyjJWlBf7btw2WvtEeKis51Jfz0XPBbsQfzpa6NCKiKpMbe0CPHj3Qo0cPg/dftmwZvL29MXfuXACAn58fUlJSMG/ePERFRRnVZ1ZWFiZMmICEhAT06tVL7zOFQgEXF5fKP5eVlWHLli2YMGECBEHQ29fBwUFvXyKqGT3auKKNux0mrjuIA5fy8fa3B5B6zhP/erEVrCwtpC6PiMgoNT6mKS0tDZGRkXptUVFRSEtLM6ofnU6HIUOGYMqUKfD393/s/lu3bkVeXh6GDx9+32d9+vSBk5MTwsPDsXXr1kf2U1JSAq1Wq7cRkeHcG9rguzdDMO7ZZhAE4Nu9l9BnUQpO5xZIXRoRkVFqPDTl5OTA2dlZr83Z2RlarRbFxcUG9zN79mzI5XJMnDjRoP1XrVqFqKgouLu7V7bZ2tpi7ty52LhxI+Lj4xEeHo6+ffs+MjjNnDkTdnZ2lZuHh4fBNRPRXZYWMkzt3hJfjwiGo60Sp3ML0WcRl2AhIvNi9OM5KWRkZGDBggU4cODAfY/aHuTKlStISEjAhg0b9NodHR0xefLkyj937NgRV69exZw5c9CnT58H9jV9+nS9Y7RaLYMTURWFN3fEz+90xnsbDyH59HW8v+kIUs7ewKevtIHKylLq8oiIHqnG7zS5uLggNzdXry03NxcqlQrW1tYG9bF7925cu3YNnp6ekMvlkMvluHjxIt577z00adLkvv1jYmLg4ODw0CD0V8HBwTh79uxDP1cqlVCpVHobEVVdo/pKxA7riOl/LMGy7XA2ei3cDfXlfKlLIyJ6pBoPTSEhIdixY4deW2JiIkJCQgzuY8iQITh8+DDUanXl5ubmhilTpui9hQcAoigiJiYGQ4cOhaXl4//PVa1Ww9XV1eBaiOjJyWQC3oxoho1jQ+De0BqXbxbjtaV7sPy3c1yChYhMltGP5woLC/XuzGRmZkKtVsPe3h6enp6YPn06srKysHbtWgB351RatGgRpk6dihEjRmDnzp3YsGED4uPjDe7TwcEBDg4OenVYWlrCxcUFvr6+eu07d+5EZmYmRo0adV/ta9asgUKhQLt27QAAmzZtwurVq7Fy5UpjLwMRVYN2ng0RP7EzPth0BPFHsjHz55PYcy4Pc/sFwNFWKXV5RET6RCPt2rVLBHDfFh0dLYqiKEZHR4sRERH3HRMYGCgqFAqxadOmYkxMjFF9PoiXl5c4b968+9oHDhwohoaGPvCY2NhY0c/PT7SxsRFVKpXYqVMncePGjUacvShqNBoRgKjRaIw6jogeTqfTid/uvSi2+PAn0WvaNrHDfxPF1LPXpS6LiGqR6vj9FkSRr64YQ6vVws7ODhqNhuObiKrZ6dwCjP/2AE7nFkImAO883wLjn/OBhezxL4AQET1Kdfx+c+05IjIZLZzrY8vb4ejfwQM6EZj362kMWbUX1wruSF0aERFDExGZFmuFBWa/1hbz+gfARmGBPefy0HNBCvacvSF1aURUxzE0EZFJermdO7aOD4evc33cKCzBG6v2Yl7iaVTw7ToikghDExGZLB8nW2x+OwwDOnpAFIEFO85g8Eo+riMiaTA0EZFJs1ZYYNarbTG/fyBsFBZIO5+Hngt2I+UMH9cR0dPF0EREZqFvu8b4cUI4WrrUx43CUgxZvRdf8HEdET1FDE1EZDaaNbr7uG5gJ0+IIrBwxxm8sTId17R8XEdENY+hiYjMipWlBWa+0gYLBgSinsIC6edvoufC3dh95rrUpRFRLcfQRERm6aXAu4/r/FxVuFFYiqGr9+HzhFMor9BJXRoR1VIMTURktpo2skXcuFAMCr77uG7RrrMYtHIvcvm4johqAEMTEZk1K0sLfPpyGywc2A71FBbYl3kTPRfsxm+n+biOiKoXQxMR1Qp9AtywbWJn+LmqkFdUiujV+zAn4SQf1xFRtWFoIqJaw9uxHuLGhWLwM54AgMW7zmHQV3uRo+HjOiJ6cgxNRFSrWFla4L9922DRoHawVcqx78Ldt+uS+biOiJ4QQxMR1UovtnXDtgnh8HdT4WZRKaJj9nEyTCJ6IgxNRFRrNXGshx/e+vPtuoU7ziB69T7cKCyRujQiMkMMTURUq917u25e/wBYW1og5ewN9Fq4G/sv3JS6NCIyMwxNRFQnvNzOHVvHh8HHyRa52hIMWJGO5b+dgyjycR0RGYahiYjqjObO9bHl7TC8FOiGCp2ImT+fxOi1GdDcLpO6NCIyAwxNRFSn1FPKMb9/IP7btzUUFjL8eiIXLy7ajSNXNFKXRkQmjqGJiOocQRAw+Bkv/PBWKDzsrXH5ZjFeXboHX6df5OM6InoohiYiqrPauNth2/jOeKGVM0ordPjn5qOY9J0aRSXlUpdGRCaIoYmI6jQ7G0usGBKED3q2hIVMwBb1Vby0OBVncgukLo2ITAxDExHVeYIgYEyXZlg/5hk4q5Q4e60QfRalIu7gFalLIyITwtBERPSHjk3sET+xM8J9HFFcVoF3vzuE6ZuO4E5ZhdSlEZEJYGgiIvoLR1sl1ozohHeebw5BANbtu4RXl+7BxbwiqUsjIokxNBER/Y2FTMC7L7TAmuGdYF9PgWNXtXjxyxRsP5ojdWlEJCGGJiKih+jSohHiJ4YjyKshCu6UY+z/MvDfbcdRVqGTujQikgBDExHRI7jaWWP9mGcwurM3AGBlSiYGrEhHtqZY4sqI6GljaCIiegxLCxk+7NUKy4cEob6VHBkXb+HFhSnYc/aG1KUR0VPE0EREZKAofxdsmxAOP1cV8opKMXjVXixJOgudjrOIE9UFDE1EREbwcqiHuHGheC3IHToR+Gz7KYz5OgOaYi76S1TbMTQRERnJytICc15ri5mvtKlc9LfPohQcv6qVujQiqkEMTUREVSAIAgZ28sT3b4WgcQNrXMy7jZeXpOL7DM4iTlRbMTQRET2Btu4NsG1COCJaNEJJuQ7/2HgIH8RxFnGi2oihiYjoCTWsp0DMsI6YFHl3FvFv915Cv+VpuHLrttSlEVE1Mjo0JScno3fv3nBzc4MgCNi8efNjj0lKSkL79u2hVCrh4+OD2NjYJ+pz7NixEAQB8+fP12tv0qQJBEHQ22bNmqW3z+HDh9G5c2dYWVnBw8MDn332mQFnTUT0aDKZgEmRLRAzrCMa2Fji8BUNXvwyBb+dvi51aURUTYwOTUVFRQgICMDixYsN2j8zMxO9evVC165doVarMWnSJIwaNQoJCQlV6jMuLg7p6elwc3N74Of//ve/kZ2dXblNmDCh8jOtVotu3brBy8sLGRkZmDNnDmbMmIEVK1YYdC5ERI/zrK8Ttk0IR1t3O+TfLsOwmH2Y/+tpTktAVAvIjT2gR48e6NGjh8H7L1u2DN7e3pg7dy4AwM/PDykpKZg3bx6ioqKM6jMrKwsTJkxAQkICevXq9cB96tevDxcXlwd+9s0336C0tBSrV6+GQqGAv78/1Go1vvjiC4wZM8bgcyIiehT3hjbY8GYI/r3tOL7dewnzfz2Dg5fyMb9/IBrWU0hdHhFVUY2PaUpLS0NkZKReW1RUFNLS0ozqR6fTYciQIZgyZQr8/f0fut+sWbPg4OCAdu3aYc6cOSgvL9erpUuXLlAo/vyPVlRUFE6dOoVbt249sL+SkhJotVq9jYjocawsLfDpy23w+esBUMpl+O30dbz4ZQoOX8mXujQiqqIaD005OTlwdnbWa3N2doZWq0VxseFrN82ePRtyuRwTJ0586D4TJ07E+vXrsWvXLrz55pv49NNPMXXq1MfWcu+zB5k5cybs7OwqNw8PD4NrJiJ6LcgdcePC4OVgg6z8Yry2NA3f7r0EUeTjOiJzY/TjOSlkZGRgwYIFOHDgAARBeOh+kydPrvzntm3bQqFQ4M0338TMmTOhVCqr9N3Tp0/X61er1TI4EZFRWrmpsHV8ON7bcAi/nsjFB3FHcODSLfznpdawVlhIXR4RGajG7zS5uLggNzdXry03NxcqlQrW1tYG9bF7925cu3YNnp6ekMvlkMvluHjxIt577z00adLkoccFBwejvLwcFy5ceGQt9z57EKVSCZVKpbcRERnLztoSK4YEYWp3X8gE4PuMK3hl6R5czCuSujQiMlCNh6aQkBDs2LFDry0xMREhISEG9zFkyBAcPnwYarW6cnNzc8OUKVP03sL7O7VaDZlMBicnp8pakpOTUVb25xpRiYmJ8PX1RcOGDY08MyIi48hkAsY964OvRwbDoZ4CJ7K1ePHLFCQez338wUQkOaNDU2FhYWVwAe5OKaBWq3Hp0iUAdx9nDR06tHL/sWPH4vz585g6dSpOnjyJJUuWYMOGDXj33XcN7tPBwQGtW7fW2ywtLeHi4gJfX18Adwd5z58/H4cOHcL58+fxzTff4N1338XgwYMrA9GgQYOgUCgwcuRIHDt2DN999x0WLFig9/iNiKimhfk4YtvEcLT3bICCO+UYvfZ3fLb9JMordFKXRkSPIhpp165dIoD7tujoaFEURTE6OlqMiIi475jAwEBRoVCITZs2FWNiYozq80G8vLzEefPmVf45IyNDDA4OFu3s7EQrKyvRz89P/PTTT8U7d+7oHXfo0CExPDxcVCqVYuPGjcVZs2YZdf4ajUYEIGo0GqOOIyL6u5KyCvHjLUdFr2nbRK9p28RBX6WJeYUlUpdFVCtVx++3IIp8hcMYWq0WdnZ20Gg0HN9ERNViizoL7/9wBMVlFWjcwBpLB7dHW/cGUpdFVKtUx+83154jIpLYS4GNsfntMDS5Ny3BsjRs2H9Z6rKI6G8YmoiITICvS31sGR+OSD8nlJbrMPWHw/gg7ghKyiukLo2I/sDQRERkIu5OS9ABk19oAUEAvt17Cf2XpyNbY/hEwERUcxiaiIhMiEwmYOLzzbF6WEeorORQX85H7y9TkHYuT+rSiOo8hiYiIhPU1dcJP04IR0uX+rhRWIrBq/Zi5e7zXH6FSEIMTUREJsrLoR7ixoWhb6AbKnQi/ht/AhPWHcTt0vLHH0xE1Y6hiYjIhFkrLDCvfyBm9G4FuUzAtsPZeHnxHmTe4PIrRE8bQxMRkYkTBAHDwryxbswzaFRfiVO5BeizKAU7TnD5FaKniaGJiMhMdGxij20TwhHk1RAFd8oxcs3v+CLxNHQ6jnMiehoYmoiIzIizygrrRj+D6BAvAMDCHWcwcs1+aG6XPeZIInpSDE1ERGZGIZfhk5da44t+AVDKZdh16jp6L0rB8ataqUsjqtUYmoiIzNQr7d3xw1uhcG9ojUs3b+OVpanYfDBL6rKIai2GJiIiM9a6sR22TQhHlxaNcKdMh0nfqTFj6zGUVeikLo2o1mFoIiIycw1sFIgZ1hETnvMBAMTuuYA3vtqLawV3JK6MqHZhaCIiqgUsZALe6+aLFUOCUF8px74LN/HiwhRkXLwpdWlEtQZDExFRLdLN3wVbxoehuZMtrhWUYMCKdHyz96LUZRHVCgxNRES1TNNGttj8dhh6tXFFWYWID+OOYvqmwygpr5C6NCKzxtBERFQL1VPKsWhQO0zr3hKCAKzbdxkDVqQjV8txTkRVxdBERFRLCYKAt55thtjhnaCykuPgpXy8+CXHORFVFUMTEVEtF9GiEX6cEA5f5/q4/pdxTqLI5VeIjMHQRERUB3g51MOmcaF/G+d0hOOciIzA0EREVEf8fZzT+v2X0X95OnI0HOdEZAiGJiKiOuTv45zUl/PRe1EKfr/AcU5Ej8PQRERUB/19nNPAr9Lxv3SOcyJ6FIYmIqI66u/jnD7azHFORI/C0EREVIdxnBOR4RiaiIjqOI5zIjIMQxMREQHgOCeix2FoIiKiSvfGOfVs48JxTkR/w9BERER66inlWDyoPaZ29+U4J6K/YGgiIqL7CIKAcc/6IGZYR45zIvoDQxMRET3Us75O2Dqe45yIAIYmIiJ6jCaOHOdEBDA0ERGRAR42zilXy3FOVHcwNBERkUEeOM7pyxQcvHRL6tKIngqjQ1NycjJ69+4NNzc3CIKAzZs3P/aYpKQktG/fHkqlEj4+PoiNjX2iPseOHQtBEDB//vzKtgsXLmDkyJHw9vaGtbU1mjVrho8//hilpaV6+wiCcN+Wnp5uxBUgIqrb7o1zau5ki2sFJei/PB3fZ1yRuiyiGmd0aCoqKkJAQAAWL15s0P6ZmZno1asXunbtCrVajUmTJmHUqFFISEioUp9xcXFIT0+Hm5ubXvvJkyeh0+mwfPlyHDt2DPPmzcOyZcvwwQcf3NfHr7/+iuzs7MotKCjIoHMhIqK7mjjWQ9zbYXihlTNKK3T4x8ZD+PePx1FeoZO6NKIaI4hP8AqEIAiIi4tD3759H7rPtGnTEB8fj6NHj1a2DRgwAPn5+di+fbtRfWZlZSE4OBgJCQno1asXJk2ahEmTJj30u+fMmYOlS5fi/PnzAO7eafL29sbBgwcRGBho6Gnq0Wq1sLOzg0ajgUqlqlIfRES1hU4nYv6OM1i44wwAIMzHAYsGtkfDegqJKyPSVx2/3zU+piktLQ2RkZF6bVFRUUhLSzOqH51OhyFDhmDKlCnw9/c36BiNRgN7e/v72vv06QMnJyeEh4dj69atj+yjpKQEWq1WbyMiortkMgGTX2iBpW+0h43CAqln8/DS4lScyimQujSialfjoSknJwfOzs56bc7OztBqtSguLja4n9mzZ0Mul2PixIkG7X/27Fl8+eWXePPNNyvbbG1tMXfuXGzcuBHx8fEIDw9H3759HxmcZs6cCTs7u8rNw8PD4JqJiOqKHm1c8cNboXBvaI1LN2/j5SWp2H40R+qyiKqVWbw9l5GRgQULFiA2NhaCIDx2/6ysLHTv3h2vv/46Ro8eXdnu6OiIyZMnIzg4GB07dsSsWbMwePBgzJkz56F9TZ8+HRqNpnK7fPlytZwTEVFt4+eqwtbx4Qht5oDbpRUY+78MzEs8DZ2OE2FS7VDjocnFxQW5ubl6bbm5uVCpVLC2tjaoj927d+PatWvw9PSEXC6HXC7HxYsX8d5776FJkyZ6+169ehVdu3ZFaGgoVqxY8di+g4ODcfbs2Yd+rlQqoVKp9DYiInow+3oKrB3RCcPDmgAAFuw4g7H/y0BhSbm0hRFVgxoPTSEhIdixY4deW2JiIkJCQgzuY8iQITh8+DDUanXl5ubmhilTpui9hZeVlYVnn30WQUFBiImJgUz2+NNTq9VwdXU1/ISIiOiR5BYyfNzbH5+91hYKCxl+OZ6LV5ak4mJekdSlET0RubEHFBYW6t2ZyczMhFqthr29PTw9PTF9+nRkZWVh7dq1AO7OqbRo0SJMnToVI0aMwM6dO7FhwwbEx8cb3KeDgwMcHBz06rC0tISLiwt8fX0B/BmYvLy88Pnnn+P69euV+7q4uAAA1qxZA4VCgXbt2gEANm3ahNWrV2PlypXGXgYiInqMfh084ONkize/zsDp3EL0WZSKxYPaI7y5o9SlEVWNaKRdu3aJAO7boqOjRVEUxejoaDEiIuK+YwIDA0WFQiE2bdpUjImJMarPB/Hy8hLnzZtX+eeYmJgH9vHXU4yNjRX9/PxEGxsbUaVSiZ06dRI3btxo1PlrNBoRgKjRaIw6joiorsrOLxb7LEoRvaZtE73f3yZ+lXxO1Ol0UpdFdUx1/H4/0TxNdRHnaSIiMt6dsgp8GHcUPxy4O3P4K+0b49OX28DK0kLiyqiuMIt5moiIiKwsLfD5623xzxdbQSYAmw5kof+KdORouOAvmQ+GJiIieioEQcDIcG+sHREMO2tLHLqcjz6LUnCAC/6SmWBoIiKipyq8uSO2jg9DC+e7C/4OWJ6ODb9zDjwyfQxNRET01Hk51MOmcWGI8r+74O/U7w9jxtZjKOOCv2TCGJqIiEgStko5lr4RhEmRzQEAsXsuIHr1PtwqKpW4MqIHY2giIiLJyGQCJkW2wLLBQbBRWGDPuTz0WZyCkzlcHJ1MD0MTERFJrntrF8SNC4OnvQ0u3yzGK0v2cMFfMjkMTUREZBJ8Xepj6/gwhPn8ueDvlzvOgNMJkqlgaCIiIpPRwEaB2OGdMCy0CQBgbuJpjF93EMWlFdIWRgSGJiIiMjGWFjLM6OOPma+0gVwmIP5wNl5fvgdX84ulLo3qOIYmIiIySQM7eeKbUcGwr6fA0Swt+ixK5USYJCmGJiIiMlnBTR2w5e0wtHSpjxuFdyfC/CHjitRlUR3F0ERERCbNw94GP7wVim6t7k6E+d7GQ/j0pxOo0HGAOD1dDE1ERGTy6inlWDY4CBOe8wEArEg+j5Fr9kN7p0ziyqguYWgiIiKzIJMJeK+bL74c2A5KuQxJp67j5cWpyLxRJHVpVEcwNBERkVnpHeCG78eGwkVlhXPXi9B3cSpSztyQuiyqAxiaiIjI7LRxt8PW8WEI9GgATXEZomP2ITY1kxNhUo1iaCIiIrPkpLLC+jHP4JX2jVGhEzHjx+P4IO4ISst1UpdGtRRDExERmS0rSwvMfT0AH/RsCUEA1u27jMEr9yKvsETq0qgWYmgiIiKzJggCxnRphtXRHVFfKce+CzfRZ1EqTmRrpS6NahmGJiIiqhW6tnRC3Nuh8HKwQVZ+MV5dugcJx3KkLotqEYYmIiKqNXyc6mPL22EI83HA7dIKvPl1Br7ccYYDxKlaMDQREVGt0sBGgdjhnTAstAkAYG7iaUxYdxDFpRXSFkZmj6GJiIhqHUsLGWb08cfMV9pALhOw7XA2+i1PQ7amWOrSyIwxNBERUa01sJMnvhkVDPt6ChzJ0qD3l6k4cOmW1GWRmWJoIiKiWi24qQO2vB2Gli71caOwBAOWp+OHjCtSl0VmiKGJiIhqPQ97G3z/ViheaOWM0god3tt4CDN/OoEKHQeIk+EYmoiIqE6wVcqxfHAQxnf1AQAsTz6PN7/OQGFJucSVkblgaCIiojpDJhPwjyhfLBgQCIVchl9P5OK1pXtw5dZtqUsjM8DQREREdc5LgY3x3Zhn4GirxMmcAvRdnIqMizelLotMHEMTERHVSe08G2Lr+DC0clXhRmEpBq7Yi00HOECcHo6hiYiI6iy3Btb4/q0QRPnfHSA+ecMhfLb9JHQcIE4PwNBERER1mo1CjqVvBOHtrs0AAEuSzmHs/zJQxAHi9DcMTUREVOfJZAKmRLXEvP4BUFjI8MvxXLy2LA1Z+ZxBnP7E0ERERPSHl9u5Y92YZ+Boq8CJbC1eWsQZxOlPRoem5ORk9O7dG25ubhAEAZs3b37sMUlJSWjfvj2USiV8fHwQGxv7RH2OHTsWgiBg/vz5eu03b97EG2+8AZVKhQYNGmDkyJEoLCzU2+fw4cPo3LkzrKys4OHhgc8++8yAsyYioroiyKshNv91BvEV6diizpK6LDIBRoemoqIiBAQEYPHixQbtn5mZiV69eqFr165Qq9WYNGkSRo0ahYSEhCr1GRcXh/T0dLi5ud332RtvvIFjx44hMTER27ZtQ3JyMsaMGVP5uVarRbdu3eDl5YWMjAzMmTMHM2bMwIoVKww6FyIiqhvcG9rgh7dCEennjNJyHd5Zr8bcX05xgHhdJz4BAGJcXNwj95k6daro7++v19a/f38xKirK6D6vXLkiNm7cWDx69Kjo5eUlzps3r/Kz48ePiwDE/fv3V7b9/PPPoiAIYlZWliiKorhkyRKxYcOGYklJSeU+06ZNE319fR95Dn+l0WhEAKJGozH4GCIiMk8VFTpx5k8nRK9p20SvadvEsV//LhaVlEldFlVBdfx+1/iYprS0NERGRuq1RUVFIS0tzah+dDodhgwZgilTpsDf3/+B39OgQQN06NChsi0yMhIymQx79+6t3KdLly5QKBR6tZw6dQq3bj34mXVJSQm0Wq3eRkREdYNMJuD9Hi3x+et3B4j/fDQH/ZanIVvDAeJ1UY2HppycHDg7O+u1OTs7Q6vVorjY8L90s2fPhlwux8SJEx/6PU5OTnptcrkc9vb2yMnJeWQt9z57kJkzZ8LOzq5y8/DwMLhmIiKqHV4Lcse3o4PhUE+Bo1l3B4irL+dLXRY9ZWbx9lxGRgYWLFiA2NhYCILwVL97+vTp0Gg0ldvly5ef6vcTEZFp6NDEHpvfDoOvc31cKyhB/+Vp+PHQVanLoqeoxkOTi4sLcnNz9dpyc3OhUqlgbW1tUB+7d+/GtWvX4OnpCblcDrlcjosXL+K9995DkyZNKr/n2rVreseVl5fj5s2bcHFxeWQt9z57EKVSCZVKpbcREVHd5GFvgx/GheL5lk4oKddhwrqDmJd4mgPE64gaD00hISHYsWOHXltiYiJCQkIM7mPIkCE4fPgw1Gp15ebm5oYpU6ZUvoUXEhKC/Px8ZGRkVB63c+dO6HQ6BAcHV+6TnJyMsrIyvVp8fX3RsGHDJzlNIiKqI2yVcqwY2gFjujQFACzYcQYT1h9EcWmFxJVRTTM6NBUWFlYGF+DulAJqtRqXLl0CcPdx1tChQyv3Hzt2LM6fP4+pU6fi5MmTWLJkCTZs2IB3333X4D4dHBzQunVrvc3S0hIuLi7w9fUFAPj5+aF79+4YPXo09u3bh9TUVIwfPx4DBgyonJ5g0KBBUCgUGDlyJI4dO4bvvvsOCxYswOTJk42/ckREVGdZyAR80NMPn73aFpYWAuIPZ6P/ijTkaO5IXRrVJGNft9u1a5cI4L4tOjpaFEVRjI6OFiMiIu47JjAwUFQoFGLTpk3FmJgYo/p8kL9POSCKopiXlycOHDhQtLW1FVUqlTh8+HCxoKBAb59Dhw6J4eHholKpFBs3bizOmjXLqPPnlANERPRX6eduiIGfJIhe07aJnf4vUTx8OV/qkugBquP3WxBFkQ9ijaDVamFnZweNRsPxTUREBAC4lHcbI9fsx5lrhbCylOGLfoHo2cZV6rLoL6rj99ss3p4jIiIyZZ4ONtg0LhTP+jbCnTIdxn1zAAt3nAHvS9QuDE1ERETVoL6VJVZFd8TIcG8AwBeJpzFxvRp3yjhAvLZgaCIiIqomFjIB/3yxFWa+0gZymYAfD13FgBXpuFbAAeK1AUMTERFRNRvYyRNfjwxGAxtLqC/n4+XFe3Ayh8twmTuGJiIiohoQ0swBcePC0NSxHrLyi/Hqkj3YdfLa4w8kk8XQREREVEO8Heth07hQhDR1QFFpBUau2Y+Y1EwOEDdTDE1EREQ1qIGNAmtGdEL/Dh7QicAnPx7Hv7YcQ3mFTurSyEgMTURERDVMIZdh1qtt8EHPlhAE4Ov0ixgeux/aO2WPP5hMBkMTERHRUyAIAsZ0aYZlg4NgbWmB3Wdu4NUle3D55m2pSyMDMTQRERE9RVH+Ltg4NgTOKiXOXCtE38WpyLh4U+qyyAAMTURERE9Z68Z22PJ2OFo3ViGvqBQDV+zF5oNZUpdFj8HQREREJAEXOytseDMEUf7OKK3QYdJ3anyReJpv1pkwhiYiIiKJ2CjkWPpGEMZGNAMALNxxBhPWHeTSKyaKoYmIiEhCMpmA93u0xGevtoVcJmDb4WwM/Cod1wtKpC6N/oahiYiIyAT06+iBr0cGw87aEgcv5aPv4lQuvWJiGJqIiIhMREgzB2x+Owzefyy98trSNOw6xaVXTAVDExERkQnxdqyHuHGheKapPQpLyjEydj9iUzOlLovA0ERERGRyGtgosHZEMPp1cIdOBGb8eBz/2nKUS69IjKGJiIjIBCnkMsx+tS2m97i79MratIsYseZ3Lr0iIYYmIiIiEyUIAt6M+HPpleTT17n0ioQYmoiIiEwcl14xDQxNREREZuDe0iv+bn8svfLVXmxRc+mVp4mhiYiIyEy42Flh49gQdGvljNJyHd5Zr8Y8Lr3y1DA0ERERmREbhRzLBgfhzYimAIAFO87gnfVqLr3yFDA0ERERmRmZTMD0Hn6Y/WobyGUCth66ioFfpeNGIZdeqUkMTURERGaqf0dPvaVXXl6SirPXCqQuq9ZiaCIiIjJjIc0csGlcKDztbXD5ZjFeXrIHe87ekLqsWomhiYiIyMw1a2SLuHGhCPJqiII75Ri6eh82/H5Z6rJqHYYmIiKiWsDBVolvRgWjT4AbynUipn5/GJ9tPwmdjm/WVReGJiIiolrCytICCwYEYuJzPgCAJUnnMGH9Qb5ZV00YmoiIiGoRQRAwuZsvPn89AJYWAuIPZ2PQV+nI45t1T4yhiYiIqBZ6Lcgda0fcfbPuwKV89OWbdU+MoYmIiKiW4pt11YuhiYiIqBbjm3XVh6GJiIioluObddXD6NCUnJyM3r17w83NDYIgYPPmzY89JikpCe3bt4dSqYSPjw9iY2ON7nPGjBlo2bIl6tWrh4YNGyIyMhJ79+7V+w5BEB647d+/HwBw4cKFB36enp5u7GUgIiIyK3yz7skZHZqKiooQEBCAxYsXG7R/ZmYmevXqha5du0KtVmPSpEkYNWoUEhISjOqzRYsWWLRoEY4cOYKUlBQ0adIE3bp1w/Xr1wEAoaGhyM7O1ttGjRoFb29vdOjQQa+vX3/9VW+/oKAgYy8DERGR2eGbdU9GEEWxyvfmBEFAXFwc+vbt+9B9pk2bhvj4eBw9erSybcCAAcjPz8f27dur1CcAaLVa2NnZ4ddff8Xzzz9/3+dlZWVo3LgxJkyYgH/+858A7t5p8vb2xsGDBxEYGGjQOT7sezUaDVQqVZX6ICIiklrauTyM/V8GNMVl8LC3RsywjvBxqi91WTWmOn6/a3xMU1paGiIjI/XaoqKikJaWVuU+S0tLsWLFCtjZ2SEgIOCB+2zduhV5eXkYPnz4fZ/16dMHTk5OCA8Px9atW6tcBxERkbnim3XGq/HQlJOTA2dnZ702Z2dnaLVaFBcXG9XXtm3bYGtrCysrK8ybNw+JiYlwdHR84L6rVq1CVFQU3N3dK9tsbW0xd+5cbNy4EfHx8QgPD0ffvn0fGZxKSkqg1Wr1NiIiotqAb9YZx6zenrs3LmrPnj3o3r07+vXrh2vXrt2335UrV5CQkICRI0fqtTs6OmLy5MkIDg5Gx44dMWvWLAwePBhz5sx56HfOnDkTdnZ2lZuHh0e1nxcREZFU+Gad4Wo8NLm4uCA3N1evLTc3FyqVCtbW1kb1Va9ePfj4+OCZZ57BqlWrIJfLsWrVqvv2i4mJgYODA/r06fPYPoODg3H27NmHfj59+nRoNJrK7fJlJnAiIqpd+GadYeQ1/QUhISH46aef9NoSExMREhLyxH3rdDqUlOiP+BdFETExMRg6dCgsLS0f24darYarq+tDP1cqlVAqlU9cKxERkSm792adp0M9TN90GPGHs5GdX4yvhnaAgy1/B4EqhKbCwkK9OzOZmZlQq9Wwt7eHp6cnpk+fjqysLKxduxYAMHbsWCxatAhTp07FiBEjsHPnTmzYsAHx8fEG91lUVIT/+7//Q58+feDq6oobN25g8eLFyMrKwuuvv65X386dO5GZmYlRo0bdV/uaNWugUCjQrl07AMCmTZuwevVqrFy50tjLQEREVCu9FuSOxg2s8ebXv1euWVfb36wzmGikXbt2iQDu26Kjo0VRFMXo6GgxIiLivmMCAwNFhUIhNm3aVIyJiTGqz+LiYvHll18W3dzcRIVCIbq6uop9+vQR9+3bd199AwcOFENDQx9Ye2xsrOjn5yfa2NiIKpVK7NSpk7hx40ajzl+j0YgARI1GY9RxRERE5uTstQKx8+ydote0bWLrj7eLqWeuS13SE6mO3+8nmqepLuI8TUREVFfkFZZgzNcZyLh4C3KZgE9faYN+HczzhSizmKeJiIiIzNO9N+t68806AAxNRERE9AhWlhZY0D8QE/hmHUMTERERPZpMJuC9v61Z98bKvbhZVCp1aU8VQxMREREZ5LUgd6wdEQyVlRwZF2/hlSWpyLxRJHVZTw1DExERERns3pp17g2tcSHvNl5ZkorfL9yUuqyngqGJiIiIjOLjVB9x48IQ4G6HW7fLMGjlXvx46KrUZdU4hiYiIiIyWqP6SqwfE4JurZxRWq7DhHUHsTTpHGrzTEYMTURERFQl1goLLB0chBFh3gCA2dtP4oO4oyiv0ElcWc1gaCIiIqIqs5AJ+FfvVpjRuxVkArBu3yWMWPM7Cu6USV1atWNoIiIioic2LMwby4d0gLWlBZJPX8fry9KQrSmWuqxqxdBERERE1eKFVs747s1n4GirxMmcAvRdnIpjVzVSl1VtGJqIiIio2rR1b4C4caFo7mSLXG0J+i1Lw65T16Quq1owNBEREVG18rC3wfdvhSK0mQOKSiswas3v+HbvJanLemIMTURERFTt7KwtETu8E15t744KnYgP4o5g1s/mvdgvQxMRERHVCIVchs9fb4t3I1sAAJb9Zt6L/TI0ERERUY0RBAHvRDbHF/3Mf7FfhiYiIiKqca+0d8eaEZ1Q34wX+2VoIiIioqcitJkj4sx4sV+GJiIiInpqzHmxX4YmIiIieqruLfb7gpkt9svQRERERE+dtcICy8xssV+GJiIiIpLEvcV+P+7dCsIfi/2OXPM7CkvKpS7tgRiaiIiISFLDw7yxfHAQrCxl+O30dSxNOit1SQ/E0ERERESS6+bvgu/GhKBHaxdMeK651OU8kFzqAoiIiIgAIMCjAZYODpK6jIfinSYiIiIiAzA0ERERERmAoYmIiIjIAAxNRERERAZgaCIiIiIyAEMTERERkQEYmoiIiIgMwNBEREREZACGJiIiIiIDMDQRERERGYChiYiIiMgADE1EREREBmBoIiIiIjKAXOoCzI0oigAArVYrcSVERERkqHu/2/d+x6uCoclIBQUFAAAPDw+JKyEiIiJjFRQUwM7OrkrHCuKTRK46SKfT4erVq6hfvz4EQaiWPrVaLTw8PHD58mWoVKpq6bMu4HWrOl67quF1qxpet6rjtauaB103URRRUFAANzc3yGRVG53EO01GkslkcHd3r5G+VSoV/6WoAl63quO1qxpet6rhdas6Xruq+ft1q+odpns4EJyIiIjIAAxNRERERAZgaDIBSqUSH3/8MZRKpdSlmBVet6rjtasaXreq4XWrOl67qqmp68aB4EREREQG4J0mIiIiIgMwNBEREREZgKGJiIiIyAAMTUREREQGYGiqYcnJyejduzfc3NwgCAI2b9782GOSkpLQvn17KJVK+Pj4IDY2tsbrNEXGXrvs7GwMGjQILVq0gEwmw6RJk55KnabG2Ou2adMmvPDCC2jUqBFUKhVCQkKQkJDwdIo1McZeu5SUFISFhcHBwQHW1tZo2bIl5s2b93SKNSFV+e/cPampqZDL5QgMDKyx+kyVsdctKSkJgiDct+Xk5Dydgk1IVf7OlZSU4MMPP4SXlxeUSiWaNGmC1atXG/W9DE01rKioCAEBAVi8eLFB+2dmZqJXr17o2rUr1Go1Jk2ahFGjRtXJHzFjr11JSQkaNWqEjz76CAEBATVcneky9rolJyfjhRdewE8//YSMjAx07doVvXv3xsGDB2u4UtNj7LWrV68exo8fj+TkZJw4cQIfffQRPvroI6xYsaKGKzUtxl63e/Lz8zF06FA8//zzNVSZaavqdTt16hSys7MrNycnpxqq0HRV5dr169cPO3bswKpVq3Dq1CmsW7cOvr6+xn2xSE8NADEuLu6R+0ydOlX09/fXa+vfv78YFRVVg5WZPkOu3V9FRESI77zzTo3VYy6MvW73tGrVSvzkk0+qvyAzUtVr9/LLL4uDBw+u/oLMhDHXrX///uJHH30kfvzxx2JAQECN1mXqDLluu3btEgGIt27deio1mQtDrt3PP/8s2tnZiXl5eU/0XbzTZGLS0tIQGRmp1xYVFYW0tDSJKqK6RqfToaCgAPb29lKXYnYOHjyIPXv2ICIiQupSTF5MTAzOnz+Pjz/+WOpSzE5gYCBcXV3xwgsvIDU1VepyzMLWrVvRoUMHfPbZZ2jcuDFatGiBf/zjHyguLjaqHy7Ya2JycnLg7Oys1+bs7AytVovi4mJYW1tLVBnVFZ9//jkKCwvRr18/qUsxG+7u7rh+/TrKy8sxY8YMjBo1SuqSTNqZM2fw/vvvY/fu3ZDL+TNkKFdXVyxbtgwdOnRASUkJVq5ciWeffRZ79+5F+/btpS7PpJ0/fx4pKSmwsrJCXFwcbty4gXHjxiEvLw8xMTEG98O/rURU6dtvv8Unn3yCLVu21MlxElW1e/duFBYWIj09He+//z58fHwwcOBAqcsySRUVFRg0aBA++eQTtGjRQupyzIqvr6/eGJzQ0FCcO3cO8+bNw9dffy1hZaZPp9NBEAR88803sLOzAwB88cUXeO2117BkyRKDb0gwNJkYFxcX5Obm6rXl5uZCpVLxLhPVqPXr12PUqFHYuHHjfY+I6dG8vb0BAG3atEFubi5mzJjB0PQQBQUF+P3333Hw4EGMHz8ewN0fNFEUIZfL8csvv+C5556TuErz0alTJ6SkpEhdhslzdXVF48aNKwMTAPj5+UEURVy5cgXNmzc3qB+GJhMTEhKCn376Sa8tMTERISEhElVEdcG6deswYsQIrF+/Hr169ZK6HLOm0+lQUlIidRkmS6VS4ciRI3ptS5Yswc6dO/H9999XBlAyjFqthqurq9RlmLywsDBs3LgRhYWFsLW1BQCcPn0aMpkM7u7uBvfD0FTDCgsLcfbs2co/Z2ZmQq1Ww97eHp6enpg+fTqysrKwdu1aAMDYsWOxaNEiTJ06FSNGjMDOnTuxYcMGxMfHS3UKkjH22gF3/wNy79jr169DrVZDoVCgVatWT7t8yRh73b799ltER0djwYIFCA4OrpzzxdraWu//yuoCY6/d4sWL4enpiZYtWwK4O33D559/jokTJ0pSv1SMuW4ymQytW7fWO97JyQlWVlb3tdd2xv59mz9/Pry9veHv7487d+5g5cqV2LlzJ3755RepTkEyxl67QYMG4T//+Q+GDx+OTz75BDdu3MCUKVMwYsQI457iPNG7d/RY914R/fsWHR0tiqIoRkdHixEREfcdExgYKCoUCrFp06ZiTEzMU6/bFFTl2j1ofy8vr6deu5SMvW4RERGP3L8uMfbaLVy4UPT39xdtbGxElUoltmvXTlyyZIlYUVEhzQlIpCr/rv5VXZ1ywNjrNnv2bLFZs2ailZWVaG9vLz777LPizp07pSleYlX5O3fixAkxMjJStLa2Ft3d3cXJkyeLt2/fNup7BVEURcMjFhEREVHdxHmaiIiIiAzA0ERERERkAIYmIiIiIgMwNBEREREZgKGJiIiIyAAMTUREREQGYGgiIiIiMgBDExEREZEBGJqIiIiIDMDQRERERGQAhiYiIiIiAzA0ERERERng/wHwwhoKuRCVJgAAAABJRU5ErkJggg==", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(W, S(W))\n", + "plt.plot(W, X(W))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "cdf7950e-7960-4369-8639-4d8b1995b9e1", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(W, R_resum(W))\n", + "plt.plot(W, R_no_resum(W)- 0.001)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "b67a9c5c-af77-4b4f-ac04-2b8705a85125", + "metadata": {}, + "outputs": [ + { + "ename": "ValueError", + "evalue": "'lin' is not a valid value for scale; supported values are 'linear', 'log', 'symlog', 'asinh', 'logit', 'function', 'functionlog'", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mValueError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[9]\u001b[39m\u001b[32m, line 6\u001b[39m\n\u001b[32m 2\u001b[39m \u001b[38;5;66;03m# plt.plot(W, Ph(W)*F(W)*L0(W)*U(W)*S(W)*X(W)*R_no_resum(W))\u001b[39;00m\n\u001b[32m 3\u001b[39m \u001b[38;5;66;03m# plt.plot(W, Ph(W)*F(W))\u001b[39;00m\n\u001b[32m 4\u001b[39m \n\u001b[32m 5\u001b[39m YSCALE = \u001b[33m\"lin\"\u001b[39m\n\u001b[32m----> \u001b[39m\u001b[32m6\u001b[39m plt.yscale(YSCALE)\n\u001b[32m 7\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m YSCALE == \u001b[33m\"linear\"\u001b[39m:\n\u001b[32m 8\u001b[39m plt.ylim(\u001b[32m0\u001b[39m,)\n\u001b[32m 9\u001b[39m \n", + "\u001b[36mFile \u001b[39m\u001b[32m~/.pyenv/sci/lib/python3.14/site-packages/matplotlib/pyplot.py:4435\u001b[39m, in \u001b[36myscale\u001b[39m\u001b[34m(value, **kwargs)\u001b[39m\n\u001b[32m 4433\u001b[39m \u001b[38;5;129m@_copy_docstring_and_deprecators\u001b[39m(Axes.set_yscale)\n\u001b[32m 4434\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34myscale\u001b[39m(value: \u001b[38;5;28mstr\u001b[39m | ScaleBase, **kwargs) -> \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[32m-> \u001b[39m\u001b[32m4435\u001b[39m \u001b[43mgca\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m.\u001b[49m\u001b[43mset_yscale\u001b[49m\u001b[43m(\u001b[49m\u001b[43mvalue\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m*\u001b[49m\u001b[43m*\u001b[49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", + "\u001b[36mFile \u001b[39m\u001b[32m~/.pyenv/sci/lib/python3.14/site-packages/matplotlib/axes/_base.py:74\u001b[39m, in \u001b[36m_axis_method_wrapper.__set_name__..wrapper\u001b[39m\u001b[34m(self, *args, **kwargs)\u001b[39m\n\u001b[32m 73\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mwrapper\u001b[39m(\u001b[38;5;28mself\u001b[39m, *args, **kwargs):\n\u001b[32m---> \u001b[39m\u001b[32m74\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mget_method\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m(\u001b[49m\u001b[43m*\u001b[49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m*\u001b[49m\u001b[43m*\u001b[49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", + "\u001b[36mFile \u001b[39m\u001b[32m~/.pyenv/sci/lib/python3.14/site-packages/matplotlib/axis.py:794\u001b[39m, in \u001b[36mAxis._set_axes_scale\u001b[39m\u001b[34m(self, value, **kwargs)\u001b[39m\n\u001b[32m 791\u001b[39m old_default_lims = (\u001b[38;5;28mself\u001b[39m.get_major_locator()\n\u001b[32m 792\u001b[39m .nonsingular(-np.inf, np.inf))\n\u001b[32m 793\u001b[39m \u001b[38;5;28;01mfor\u001b[39;00m ax \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m._get_shared_axes():\n\u001b[32m--> \u001b[39m\u001b[32m794\u001b[39m \u001b[43max\u001b[49m\u001b[43m.\u001b[49m\u001b[43m_axis_map\u001b[49m\u001b[43m[\u001b[49m\u001b[43mname\u001b[49m\u001b[43m]\u001b[49m\u001b[43m.\u001b[49m\u001b[43m_set_scale\u001b[49m\u001b[43m(\u001b[49m\u001b[43mvalue\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m*\u001b[49m\u001b[43m*\u001b[49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 795\u001b[39m ax._update_transScale()\n\u001b[32m 796\u001b[39m ax.stale = \u001b[38;5;28;01mTrue\u001b[39;00m\n", + "\u001b[36mFile \u001b[39m\u001b[32m~/.pyenv/sci/lib/python3.14/site-packages/matplotlib/axis.py:763\u001b[39m, in \u001b[36mAxis._set_scale\u001b[39m\u001b[34m(self, value, **kwargs)\u001b[39m\n\u001b[32m 761\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34m_set_scale\u001b[39m(\u001b[38;5;28mself\u001b[39m, value, **kwargs):\n\u001b[32m 762\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(value, mscale.ScaleBase):\n\u001b[32m--> \u001b[39m\u001b[32m763\u001b[39m \u001b[38;5;28mself\u001b[39m._scale = \u001b[43mmscale\u001b[49m\u001b[43m.\u001b[49m\u001b[43mscale_factory\u001b[49m\u001b[43m(\u001b[49m\u001b[43mvalue\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m*\u001b[49m\u001b[43m*\u001b[49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 764\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m 765\u001b[39m \u001b[38;5;28mself\u001b[39m._scale = value\n", + "\u001b[36mFile \u001b[39m\u001b[32m~/.pyenv/sci/lib/python3.14/site-packages/matplotlib/scale.py:727\u001b[39m, in \u001b[36mscale_factory\u001b[39m\u001b[34m(scale, axis, **kwargs)\u001b[39m\n\u001b[32m 718\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34mscale_factory\u001b[39m(scale, axis, **kwargs):\n\u001b[32m 719\u001b[39m \u001b[38;5;250m \u001b[39m\u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 720\u001b[39m \u001b[33;03m Return a scale class by name.\u001b[39;00m\n\u001b[32m 721\u001b[39m \n\u001b[32m (...)\u001b[39m\u001b[32m 725\u001b[39m \u001b[33;03m axis : `~matplotlib.axis.Axis`\u001b[39;00m\n\u001b[32m 726\u001b[39m \u001b[33;03m \"\"\"\u001b[39;00m\n\u001b[32m--> \u001b[39m\u001b[32m727\u001b[39m scale_cls = \u001b[43m_api\u001b[49m\u001b[43m.\u001b[49m\u001b[43mcheck_getitem\u001b[49m\u001b[43m(\u001b[49m\u001b[43m_scale_mapping\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mscale\u001b[49m\u001b[43m=\u001b[49m\u001b[43mscale\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 728\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m scale_cls(axis, **kwargs)\n", + "\u001b[36mFile \u001b[39m\u001b[32m~/.pyenv/sci/lib/python3.14/site-packages/matplotlib/_api/__init__.py:198\u001b[39m, in \u001b[36mcheck_getitem\u001b[39m\u001b[34m(mapping, **kwargs)\u001b[39m\n\u001b[32m 196\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m mapping[v]\n\u001b[32m 197\u001b[39m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mKeyError\u001b[39;00m:\n\u001b[32m--> \u001b[39m\u001b[32m198\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[32m 199\u001b[39m \u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mv\u001b[38;5;132;01m!r}\u001b[39;00m\u001b[33m is not a valid value for \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mk\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m; supported values are \u001b[39m\u001b[33m\"\u001b[39m\n\u001b[32m 200\u001b[39m \u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[38;5;132;01m{\u001b[39;00m\u001b[33m'\u001b[39m\u001b[33m, \u001b[39m\u001b[33m'\u001b[39m.join(\u001b[38;5;28mmap\u001b[39m(\u001b[38;5;28mrepr\u001b[39m,\u001b[38;5;250m \u001b[39mmapping))\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m\"\u001b[39m) \u001b[38;5;28;01mfrom\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m\n", + "\u001b[31mValueError\u001b[39m: 'lin' is not a valid value for scale; supported values are 'linear', 'log', 'symlog', 'asinh', 'logit', 'function', 'functionlog'" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(W, Ph(W)*F(W)*L0(W)*U(W)*S(W)*X(W)*R_resum(W))\n", + "# plt.plot(W, Ph(W)*F(W)*L0(W)*U(W)*S(W)*X(W)*R_no_resum(W))\n", + "# plt.plot(W, Ph(W)*F(W))\n", + "\n", + "YSCALE = \"lin\"\n", + "plt.yscale(YSCALE)\n", + "if YSCALE == \"linear\":\n", + " plt.ylim(0,)\n", + "\n", + "plt.xlim(1.0005, W0)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e3b8b2f1-51f8-4410-b7f5-c1eee57a8263", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.14.4" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}