{ "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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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(W, L0(W))" ] }, { "cell_type": "code", "execution_count": 5, "id": "3a1e2c06-4c6c-4e92-b7a9-8a8ea8d76b25", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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S7v0omQ0HjmvOHjeloiIiIi5pb3Yhoz74lfTckwT6ezNrWBy9W+vJHnejoiIiIi5nzd4c7vsomfziciIbBvDBHT1pHVLP7FhSC1RURETEpSzYkMGERVsptxt0a1bxZE+jenqyx12pqIiIiEuw2w1e/SGVGT/uBeCaLuG8crOe7HF3KioiIuL0istsPLpgM0u3HAFg7F9b80jftnqyxwOoqIiIiFM7ml/M3XM3sPlgHj5eFqbd0IWb4pqaHUsuEBUVERFxWr8dzmP0hxs4kldMgzo+vD0sjviWjcyOJReQioqIiDil73/L5OH5KZwstdGqcV1m39GDqEZ1zY4lF5iKioiIOBXDMHh7VRovLt+JYcBlbYJ58/ZuBAX4mB1NTKCiIiIiTqO03M4/Fm9lYfJBAIZfHMXkQR3x9rKanEzMoqIiIiJOIbeolPs+Smb9/lysFpg8qBMjezc3O5aYrFoVdcaMGTRv3hx/f3/i4+NZv379WdctKytj6tSptGrVCn9/f2JiYli+fHm1A4uIiPvZc7SAwTN+Zv3+XOr7efPBqJ4qKQJUo6jMnz+fhIQEJk+ezMaNG4mJiaFfv34cPXr0jOtPnDiRt99+m3/+859s376d++67j+uvv55Nmzadd3gREXF9q3Zlc/3MNaTnniSyYQCLHuhNn7aNzY4lTsJiGIbhyAbx8fH06NGDN998EwC73U5kZCRjx45l/Pjxf1i/SZMmPPnkkzz44IOVy2688UYCAgL4+OOPq7TP/Px8goKCyMvLIzAw0JG4IiLixD5cs5+p32zHZjfo0fwiZg2L03D4bqQmvr8dukeltLSU5ORkJkyYULnMarXSt29f1q5de8ZtSkpK8Pf3P21ZQEAAq1evPut+SkpKKCkpqfw5Pz/fkZgiIuLkym12pn6znblrDwBwY7emPH9DNH7eGg5fTufQpZ+cnBxsNhuhoaGnLQ8NDSUzM/OM2/Tr14/p06eze/du7HY7P/zwA4sWLeLIkSNn3c+0adMICgqqfEVGRjoSU0REnFjeqTJGzfmVuWsPYLHAuP7teeXmLiopcka1/rzX66+/Tps2bWjfvj2+vr6MGTOGUaNGYbWefdcTJkwgLy+v8pWRkVHbMUVE5AI4cKyIG2b+zE+7cwjw8eKtoXHcf3krLBbN2SNn5lBRCQ4OxsvLi6ysrNOWZ2VlERYWdsZtGjduzJIlSygqKuLAgQPs3LmTevXq0bJly7Pux8/Pj8DAwNNeIiLi2talHWPwjJ/Zm11EWKA/C+7rRf/oM393iPzOoaLi6+tLXFwcSUlJlcvsdjtJSUn06tXrnNv6+/sTERFBeXk5X3zxBdddd131EouIiMv5fEMGw95fx/GTZXRpGsSXYy4hOiLI7FjiAhwe8C0hIYGRI0fSvXt3evbsSWJiIkVFRYwaNQqAESNGEBERwbRp0wBYt24dhw4dIjY2lkOHDvH0009jt9t54oknavaTiIiI07HbDV78bidv/18aAAM7h/PKzTEE+Op+FKkah4vKkCFDyM7OZtKkSWRmZhIbG8vy5csrb7BNT08/7f6T4uJiJk6cSFpaGvXq1ePqq6/mo48+okGDBjX2IURExPkUlZTz8PwUfthecbvA3//amof7tsVq1f0oUnUOj6NiBo2jIiLiWg4eP8noDzewM7MAX28rL93YhcFdI8yOJRfYBR9HRURE5M9s2J/LvR8lc6yolOB6vrw9PI64qIZmxxIXpaIiIiI15vMNGTy5eCtlNoMO4YG8N7I7EQ0CzI4lLkxFRUREzpvNbjBt2Q7eW70PgAHRYbx6Swx1fPU1I+dHv0EiInJe8ovLGPvpJv5vVzYAf7+yDQ9f2UY3zUqNUFEREZFq25dTxOgPf2VvdhH+PlZevTmWgV3CzY4lbkRFRUREqmX17hwe/HQjeafKCA/y590R3TWIm9Q4FRUREXGIYRjMXXuAqd9sx2Y36NqsAW8PjyOkvr/Z0cQNqaiIiEiVlZbbmfzVb3y2Ph2AG7pG8PwNnfH30UizUjtUVEREpEpyi0q5/+Nk1u3LxWKB8f3bc89fWmrmY6lVKioiIvKndmUVcNeHv5KRe4p6ft68fmssV3YINTuWeAAVFREROad/bc/ioXmbKCq10axhHd4b2Z22ofXNjiUeQkVFRETOyDAMZv1fGi99txPDgItbNuStoXFcVNfX7GjiQVRURETkD4rLbExYtJXFmw4BMOziZkwe1AkfL6vJycTTqKiIiMhpjuYXc89HyaRknMDLauHpQR0Z3qu52bHEQ6moiIhIpa0H87h77gYy84sJCvDhraHd6N062OxY4sFUVEREBICvNx/m8YWbKS6z0zqkHu+N6E7z4LpmxxIPp6IiIuLhbHaDV75P5a2VewG4ol1jXr+tK4H+PiYnE1FRERHxaPnFZTz02SZ+TK2Y+fjePi15ol97vDTzsTgJFRUREQ+152gh98zdQFpOEX7eVl66qQvXxUaYHUvkNCoqIiIeaMXOLB76LIWCknKaBPnz9vDudG6qmY/F+aioiIh4EMMwmLlyL698n4phQI/mF/HWsDiC6/mZHU3kjFRUREQ8xMnScp5YuIVvthwBYGh8xSBuvt4axE2cl4qKiIgHOHj8JPfMTWb7kXy8rRaevrYTwy6OMjuWyJ9SURERcXO/pB3jgU82kltUSqO6vrw1LI6eLRqaHUukSlRURETclGEYfPzLAaZ8vZ1yu0F0RCBvD+9ORIMAs6OJVJmKioiIGyoptzH5y9+Y92sGANfGNOHFG7sQ4OtlcjIRx6ioiIi4maMFxdz/8UaSDxzHYoHx/dtzz19aYrFoEDdxPSoqIiJuZHPGCe79KJnM/GLq+3vzxm1duaJdiNmxRKpNRUVExE0s2niQ8Yu2Ulpup1Xjurw7ojstG9czO5bIeVFRERFxceU2Oy8u38m7P+0D4Mr2Ibx2a6wmFRS3oKIiIuLCTpwsZexnm/hpdw4AY65oTcJVbbFqUkFxEyoqIiIualdWAXfP3cCBYycJ8PHilZtjGNgl3OxYIjVKRUVExAUt23qExxZs5mSpjYgGAbw7ojsdmwSaHUukxqmoiIi4EJvd4JXvU3lr5V4AerVsxJu3d6WRJhUUN6WiIiLiIk6cLOXv81JYtSsbgLsva8G4/u3x9tKkguK+VFRERFzAjiP53PPRBjJyT+HvY+XFG7twXWyE2bFEap2KioiIk/tq82HGLdzCqTIbTS8K4J3huh9FPIeKioiIkyq32Xnpu1TeWZUGwGVtgnnj1q5cVNfX5GQiF46KioiIE8otKmXsZxv5ec8xAO7r04rH+7XDS+OjiIdRURERcTLbDuVx70fJHDpxigAfL16+uQvXdGlidiwRU6ioiIg4kSWbDjHuiy2UlNuJalSHt4fH0T5M96OI51JRERFxAmU2O9OW7WT2zxXz9VzerjGvD+lKUB3N1yOerVoP38+YMYPmzZvj7+9PfHw869evP+f6iYmJtGvXjoCAACIjI3nkkUcoLi6uVmAREXeTU1jC8PfXVZaUMVe05v2RPVRSRKjGGZX58+eTkJDArFmziI+PJzExkX79+pGamkpISMgf1v/0008ZP348s2fPpnfv3uzatYs77rgDi8XC9OnTa+RDiIi4qi0HT3DfR8kcziumrq8Xr94SQ/9ozdcj8juLYRiGIxvEx8fTo0cP3nzzTQDsdjuRkZGMHTuW8ePH/2H9MWPGsGPHDpKSkiqXPfroo6xbt47Vq1dXaZ/5+fkEBQWRl5dHYKCu1YqIe1iwIYMnl2yjtNxOi+C6vDM8jjah9c2OJVJjauL726FLP6WlpSQnJ9O3b9//vIHVSt++fVm7du0Zt+nduzfJycmVl4fS0tJYtmwZV1999Vn3U1JSQn5+/mkvERF3UWazM/nLbTy+cAul5XaubB/Cl2MuUUkROQOHLv3k5ORgs9kIDQ09bXloaCg7d+484za33347OTk5XHrppRiGQXl5Offddx//+Mc/zrqfadOmMWXKFEeiiYi4hOyCEh78ZCPr9+cC8NCVbXjoyjZYNT6KyBnV+kxWK1eu5Pnnn2fmzJls3LiRRYsWsXTpUp555pmzbjNhwgTy8vIqXxkZGbUdU0Sk1m1KP86gf65m/f5c6vl58+6I7jxyVVuVFJFzcOiMSnBwMF5eXmRlZZ22PCsri7CwsDNu89RTTzF8+HBGjx4NQOfOnSkqKuKee+7hySefxGr9Y1fy8/PDz09TlouIezAMg4/XpTP1698osxm0alyXd0Z0p1XjemZHE3F6Dp1R8fX1JS4u7rQbY+12O0lJSfTq1euM25w8efIPZcTLywuo+OMVEXFnp0ptPLpgM08t2UaZzaB/pzCWPHiJSopIFTn8eHJCQgIjR46ke/fu9OzZk8TERIqKihg1ahQAI0aMICIigmnTpgEwaNAgpk+fTteuXYmPj2fPnj089dRTDBo0qLKwiIi4o/RjJ7n342R2HMnHaoFx/dtzz19aYrHoUo9IVTlcVIYMGUJ2djaTJk0iMzOT2NhYli9fXnmDbXp6+mlnUCZOnIjFYmHixIkcOnSIxo0bM2jQIJ577rma+xQiIk7mx51HeWjeJvKLy2lU15d/3taV3q2DzY4l4nIcHkfFDBpHRURchd1u8HrSbt5YsRvDgNjIBswc2o0mDQLMjiZywdXE97fm+hERqSEnTpby8PwUVqZmAzDs4mY8dU1H/Lx1mVukulRURERqwLZDedz/STIZuafw87by3PWduSmuqdmxRFyeioqIyHlamHyQJxdvpaTcTmTDAGYNi6NTkyCzY4m4BRUVEZFqKim3MfXr7XyyLh2AK9o1JnFIV816LFKDVFRERKrh8IlT3P/JRjZnnMBiqRgK/+9/1VD4IjVNRUVExEFr9uQw5rNN5BaVEhTgQ+KtsVzRLsTsWCJuSUVFRKSKDMPg7VVpvLR8J3YDOoYHMmtYHM0a1TE7mojbUlEREamCguIyHluwme9+q5jr7MZuTXnu+mj8ffTosUhtUlEREfkTu7IKuO+jZNJyivDxsvD0tZ24vWczDYUvcgGoqIiInMPXmw8z7ostnCy1ER7kz8yh3eja7CKzY4l4DBUVEZEzKC2388K3O5n98z4AerdqxBu3dSW4np/JyUQ8i4qKiMj/OJJ3igc/2cjG9BMA3NunJY//rR3eXtZzbygiNU5FRUTkv/y0O5uH5qWQW1RKfX9vXr05hr91CjM7lojHUlEREaFi1uN/rthDYtIujH8/evzWsG5ENaprdjQRj6aiIiIeL7eoYtbjVbsqZj2+rWckkwd10qPHIk5ARUVEPNqm9OM8+MlGDucV4+9j5dnBmvVYxJmoqIiIRzIMg7lrD/Ds0u2U2QxaBNdl5tBudAgPNDuaiPwXFRUR8ThFJeWMX7SVrzcfBmBAdBgv3dSF+v6a9VjE2aioiIhH2Z1VwH0fJ7M3uwhvq4UJV3fgzkuaa5RZESeloiIiHuPLlEOM/2Irp8pshAX6M2NoV+KiGpodS0TOQUVFRNxeSbmNZ77Zzse/pANwaetgEm+N1SizIi5ARUVE3FpG7kke/HQjWw7mYbHA2L+24aEr2+Bl1aUeEVegoiIibmvFziwemb+ZvFNlNKjjQ+KQWC5vF2J2LBFxgIqKiLgdm93gtR928eaPewCIiWzAzKHdiGgQYHIyEXGUioqIuJWcwhL+/tkm1uw9BsDIXlH8Y2AH/Lw1yqyIK1JRERG38ev+XMZ8upGs/BLq+Hrxwo1duDamidmxROQ8qKiIiMuz2w1mrdrLq9/vwmY3aB1Sj1nDutE6pL7Z0UTkPKmoiIhLyy0qJeHzFFamVkwoeEPXCJ4ZHE1dP/3zJuIO9JcsIi5rw/5cxn62iSN5xfh5W5l6XSdu6R6pUWZF3IiKioi4HLvd4J2f0nj5u1RsdoOWjSsmFGwfpgkFRdyNioqIuJTjRaU8umAzK3YeBWBwbBOeu76zLvWIuCn9ZYuIy0g+cJyxn27kcF4xvt5WplzbiVt76FKPiDtTURERp2cYBu/9tI8Xl++k3G7QIrguM27vRscmutQj4u5UVETEqZ04WcpjCzbzrx0Vl3oGxTRh2g2dqadLPSIeQX/pIuK0NqUfZ8ynmzh04hS+3lYmXdORofHNdKlHxIOoqIiI0zEMg9k/7+eFb3dQZjOIalSHGbd3IzoiyOxoInKBqaiIiFPJO1nGYws388P2LAAGdg7nhRs7U9/fx+RkImIGFRURcRqbM07w4KcbOXj8FL5eVp66pgPDLo7SpR4RD6aiIiKmMwyDOWv28/yyiks9zRpWXOrp3FSXekQ8nYqKiJgq71QZ4xZuYflvmQAMiA7jxZu6EKhLPSKCioqImGjLwROM+XQT6bkn8fGy8OTVHRjZu7ku9YhIJRUVEbngDMPg/dUVA7iV2QyaXhTAjNu7ERPZwOxoIuJkrNXZaMaMGTRv3hx/f3/i4+NZv379Wde9/PLLsVgsf3gNHDiw2qFFxHXlFpVy14cbeHZpxf0oA6LDWPr3y1RSROSMHD6jMn/+fBISEpg1axbx8fEkJibSr18/UlNTCQkJ+cP6ixYtorS0tPLnY8eOERMTw80333x+yUXE5axLO8ZD81LIzK+Yq+epazoyTAO4icg5WAzDMBzZID4+nh49evDmm28CYLfbiYyMZOzYsYwfP/5Pt09MTGTSpEkcOXKEunXrVmmf+fn5BAUFkZeXR2Cg5vYQcTU2u8GbK/bwetIu7Aa0bFyXN2/TXD0i7q4mvr8dOqNSWlpKcnIyEyZMqFxmtVrp27cva9eurdJ7vP/++9x6663nLCklJSWUlJRU/pyfn+9ITBFxIln5xTw0bxO/pOUCcFNcU6Ze14k6vrpFTkT+nEP3qOTk5GCz2QgNDT1teWhoKJmZmX+6/fr169m2bRujR48+53rTpk0jKCio8hUZGelITBFxEj+mHmXA6z/xS1oudXy9eG1IDK/cHKOSIiJVVq2baavr/fffp3PnzvTs2fOc602YMIG8vLzKV0ZGxgVKKCI1obTczvPLdjDqg1/JLSqlY3gg34y9lOu7NjU7moi4GIf+tyY4OBgvLy+ysrJOW56VlUVYWNg5ty0qKmLevHlMnTr1T/fj5+eHn5+fI9FExElk5J5kzGeb2JxxAoCRvaKYcHUH/H28zA0mIi7JoTMqvr6+xMXFkZSUVLnMbreTlJREr169zrntggULKCkpYdiwYdVLKiJOb9nWI1z9xk9szjhBoL83s4bFMeW6aJUUEak2hy8UJyQkMHLkSLp3707Pnj1JTEykqKiIUaNGATBixAgiIiKYNm3aadu9//77DB48mEaNGtVMchFxGsVlNp75ZjufrEsHIC7qIl6/NZamF9UxOZmIuDqHi8qQIUPIzs5m0qRJZGZmEhsby/LlyytvsE1PT8dqPf1ETWpqKqtXr+b777+vmdQi4jT2HC1gzKeb2JlZgMUC9/dpxSNXtcXH64LeAicibsrhcVTMoHFURJyPYRgsSD7I5C9/41SZjeB6vrw2JJbL2jQ2O5qIOIkLPo6KiAhAYUk5ExdvZUnKYQAubR3M9CExhNT3NzmZiLgbFRURcci2Q3mM/WwT+3KK8LJaSLiqLff3aYXVqmHwRaTmqaiISJUYhsEHP+/nhW93Umqz0yTInzdu60r35g3NjiYibkxFRUT+VE5hCY8v2MyPqdkAXNUxlJdv6kKDOr4mJxMRd6eiIiLntGpXNgmfbyansKRixuOBHRh2cZRmPBaRC0JFRUTOqLTczivfp/LOqjQA2obW443butI+TE/eiciFo6IiIn+wL6eIv3+2ia2H8gAYdnEzJg7sqBFmReSCU1ERkUqGYbAw+SCTv/qNk6U2GtTx4cUbu9Cv07nn8hIRqS0qKiICQH5xGU8u3sbXmyvGRrm4ZUNeGxJLeFCAyclExJOpqIgIyQeO89C8TRw8fqpybJT7+rTCS2OjiIjJVFREPJjNbjDzxz0kJu3GZjeIbBjA67d2pVuzi8yOJiICqKiIeKwjead4eF4K6/blAnBtTBOevT6aQH8fk5OJiPyHioqIB1q+LZNxX2wh71QZdXy9mHpdNDd2i9DYKCLidFRURDzIqVIbzy7dzifr0gHoHBHEG7d1pUVwXZOTiYicmYqKiIfYmZnP2E83sftoIQD3/qUlj/6tHb7eVpOTiYicnYqKiJszDIO5aw/w3LIdlJbbaVzfj+m3xHBZm8ZmRxMR+VMqKiJu7FhhCeO+2MK/dhwF4Ip2jXn55hiC6/mZnExEpGpUVETc1MrUozy2YEvFZIJeVsYPaM+oS5rrhlkRcSkqKiJuprjMxgvf7mTOmv0AtAmpx+u3dqVjE00mKCKuR0VFxI3sOJLPQ/M2sSur4obZkb2imHB1B00mKCIuS0VFxA3Y7Qazf97HS8tTKbXZCa7ny8s3xXBF+xCzo4mInBcVFREXl5VfzKOfb2b1nhwArmwfwos3ddENsyLiFlRURFzY8m1HGL9oKydOluHvY2XiwI4MjW+mG2ZFxG2oqIi4oKKScqZ+vZ35GzIAiI4IJHFIV1qH1DM5mYhIzVJREXExKRkneHjeJvYfO4nFAvf+pRUJV7XVCLMi4pZUVERchM1uMPPHPSQm7cZmNwgP8mf6LbH0atXI7GgiIrVGRUXEBWTknuSR+SlsOHAcgGu6hPPc4M4E1fExOZmISO1SURFxYoZhsCTlEE8t+Y3CknLq+Xkz9bpOXN81QjfMiohHUFERcVJ5p8qYuGQbX28+DEBc1EUkDoklsmEdk5OJiFw4KioiTuiXtGM8+vlmDp04hZfVwkNXtuGBy1vh7aUbZkXEs6ioiDiR0nI7r/1rF7P+by+GAVGN6vDakFi6NbvI7GgiIqZQURFxEruyCnh4Xgrbj+QDcHNcUyZf24l6fvozFRHPpX8BRUxWOU/Pd6mUlttpUMeHadd3ZkDncLOjiYiYTkVFxESHTpzi8QWbWbP3GACXt2vMSzd2ISTQ3+RkIiLOQUVFxAS/P3Y86cvfKCguJ8DHiycHdtA8PSIi/0NFReQCO3GylCcXb2Pp1iMAxEY24LUhsbQIrmtyMhER56OiInIB/d+ubB5fsJmjBSV67FhEpApUVEQugFOlNqZ9u4O5aw8A0LJxXRKHxNKlaQNzg4mIODkVFZFalpJxgoT5KaTlFAFwR+/mjOvfngBfL5OTiYg4PxUVkVpSZrMz48c9/HPFHmx2g9BAP16+KYa/tG1sdjQREZehoiJSC9KyC3nk881szjgBVMx2/OzgaBrU8TU3mIiIi1FREalBhmHw8S8HeG7ZDorL7NT39+bZwdFcFxthdjQREZdUrUcNZsyYQfPmzfH39yc+Pp7169efc/0TJ07w4IMPEh4ejp+fH23btmXZsmXVCizirLLyi7njg1956svfKC6zc0nrRnz38F9UUkREzoPDZ1Tmz59PQkICs2bNIj4+nsTERPr160dqaiohISF/WL+0tJSrrrqKkJAQFi5cSEREBAcOHKBBgwY1kV/EKXyz5TATl2zjxMky/LytjOvfnjt6N8dq1eBtIiLnw2IYhuHIBvHx8fTo0YM333wTALvdTmRkJGPHjmX8+PF/WH/WrFm8/PLL7Ny5Ex8fn2qFzM/PJygoiLy8PAIDA6v1HiK14XhRKZO++o2vNx8GIDoikNduiaVNaH2Tk4mImK8mvr8duvRTWlpKcnIyffv2/c8bWK307duXtWvXnnGbr776il69evHggw8SGhpKdHQ0zz//PDab7az7KSkpIT8//7SXiLNZsTOLvyWu4uvNh/GyWvj7X1uz6P5LVFJERGqQQ5d+cnJysNlshIaGnrY8NDSUnTt3nnGbtLQ0VqxYwdChQ1m2bBl79uzhgQceoKysjMmTJ59xm2nTpjFlyhRHoolcMAXFZTzzzXY+33AQgFaN6zL9llhiIhuYG0xExA3V+lM/drudkJAQ3nnnHby8vIiLi+PQoUO8/PLLZy0qEyZMICEhofLn/Px8IiMjazuqyJ9asyeHxxdu4dCJU1gscNclLXisXzv8fTR4m4hIbXCoqAQHB+Pl5UVWVtZpy7OysggLCzvjNuHh4fj4+ODl9Z9/yDt06EBmZialpaX4+v5xXAk/Pz/8/PwciSZSq06V2nhx+U7mrNkPQLOGdXjl5hh6tmhobjARETfn0D0qvr6+xMXFkZSUVLnMbreTlJREr169zrjNJZdcwp49e7Db7ZXLdu3aRXh4+BlLioizST5wnKvf+KmypAyNb8a3D12mkiIicgE4PI5KQkIC7777Lh9++CE7duzg/vvvp6ioiFGjRgEwYsQIJkyYULn+/fffT25uLg899BC7du1i6dKlPP/88zz44IM19ylEakFJecVZlJtnrWFfThFhgf58eGdPnru+M3X9NFaiiMiF4PC/tkOGDCE7O5tJkyaRmZlJbGwsy5cvr7zBNj09Hav1P/0nMjKS7777jkceeYQuXboQERHBQw89xLhx42ruU4jUsG2H8nj0882kZhUAcEPXCCZf24mggOo9Yi8iItXj8DgqZtA4KnKhlNvszFy5lzeSdlNuN2hU15fnru9M/+gz34MlIiJnVxPf3zp/LfJve44W8Ojnm9l8MA+A/p3CeO76aBrV043dIiJmUVERj2e3G8z+eR8vfZdKabmdQH9vpl4XzXWxTbBYNAS+iIiZVFTEo6UfO8ljCzezfl8uAH3aNubFG7sQFuRvcjIREQEVFfFQdrvBx+sO8MK3OzlZaqOurxcTr+nIrT0idRZFRMSJqKiIx8nIPcnjCzfzS1rFWZT4Fg155eYYIhvWMTmZiIj8LxUV8Rh2u8En6w4w7d9nUQJ8vBg/oD3DL47CatVZFBERZ6SiIh4hI/ckTyzcwtq0YwD0bNGQl2/qQlSjuiYnExGRc1FREbd2prMo4/q3Y0Sv5jqLIiLiAlRUxG3pLIqIiOtTURG3Y7cbfLI+nWnLdugsioiIi1NREbeisygiIu5FRUXcwv+eRfH3sTKuf3tG6iyKiIhLU1ERl5eRe5JxX2xhzd5/n0Vp3pCXbupC82CdRRERcXUqKuKydBZFRMT9qaiIS9JZFBERz6CiIi7l93FRXvh2J0X/PovyRL/23NFbZ1FERNyRioq4jH05RYz7YkvlTMc9ml/EyzfF6CyKiIgbU1ERp1duszP75328+v0uSsrt1PH1Ylx/zdEjIuIJVFTEqaVmFvDEws1sPpgHwKWtg5l2Q2fNdCwi4iFUVMQplZbbeWvlXt78cTdlNoP6/t5MHNiBW7pHYrHoLIqIiKdQURGns+XgCZ5YuIWdmQUA9O0QynPXRxMa6G9yMhERudBUVMRpFJfZeO1fu3h3VRp2AxrW9eXpazsxqEu4zqKIiHgoFRVxCr/uz2Xcwi2k5RQBMCimCU8P6kijen4mJxMRETOpqIipikrKeWn5Tub+cgDDgJD6fjx3fWeu6hhqdjQREXECKipimp92ZzNh0VYOHj8FwC3dm/LkwI4EBfiYnExERJyFiopccHmnynhu6XY+33AQgIgGAbxwY2cua9PY5GQiIuJsVFTkgvphexZPLt7K0YISAEb2iuKJ/u2p66dfRRER+SN9O8gFkV1QwtRvtvP15sMAtAyuy4s3daFH84YmJxMREWemoiK1yjAMFiYf5NmlO8g7VYbVAnf/pSWP9G2Lv4+X2fFERMTJqahIrTlwrIh/LN7Kz3uOAdAxPJAXb+xC56ZBJicTERFXoaIiNe73SQSn/7CL4jI7ft5WHrmqLXdd2gIfL6vZ8URExIWoqEiN2nYoj/GLtrDtUD4AvVo2YtoNnWkeXNfkZCIi4opUVKRGnCq1kZi0i/d+2ofNbhDo783EgR25uXtTDX8vIiLVpqIi523NnhwmLN7KgWMnARjYJZzJgzoSUl+TCIqIyPlRUZFqyztZxnPL/jNwW1igP88Mjtbw9yIiUmNUVMRhhmGwbGsmk7/6jZzCEiwWGBYfxRP921HfX8Pfi4hIzVFREYccyTvFU0t+4187sgBoHVKPF27oTHcN3CYiIrVARUWqxG43+GTdAV5cnkphSTk+XhYeuLw1D1zRCj9vDdwmIiK1Q0VF/tSeowWM/2IrGw4cB6Bbswa8cGMX2obWNzmZiIi4OxUVOaviMhszV+7lrZV7KLMZ1PX1YtyA9gyLj8Jq1SPHIiJS+1RU5IzW7M1h4uJtpOUUAXBl+xCeGRxNkwYBJicTERFPoqIip8ktKuW5pTv4YmPFI8ch9f2Ycm0n+keHaeA2ERG54Ko18cqMGTNo3rw5/v7+xMfHs379+rOuO2fOHCwWy2kvf38NBOZsfp/l+MpXV/LFxoNYLDCiVxT/erQPAzqHq6SIiIgpHD6jMn/+fBISEpg1axbx8fEkJibSr18/UlNTCQkJOeM2gYGBpKamVv6sLz3nsje7kCcXb+WXtFwA2ofV5/kbOtOt2UUmJxMREU/ncFGZPn06d999N6NGjQJg1qxZLF26lNmzZzN+/PgzbmOxWAgLCzu/pFLjSsptzFqZxowf91Bqs+PvY+WRvm25U7Mci4iIk3CoqJSWlpKcnMyECRMql1mtVvr27cvatWvPul1hYSFRUVHY7Xa6devG888/T6dOnc66fklJCSUlJZU/5+fnOxJTqmBd2jH+sXgre7Mrbpbt07Yxzw6OJrJhHZOTiYiI/IdD/9uck5ODzWYjNPT0uVxCQ0PJzMw84zbt2rVj9uzZfPnll3z88cfY7XZ69+7NwYMHz7qfadOmERQUVPmKjIx0JKacw/GiUp5YuJkh7/zC3uwiguv58c/bujJnVA+VFBERcTq1/tRPr1696NWrV+XPvXv3pkOHDrz99ts888wzZ9xmwoQJJCQkVP6cn5+vsnKeDMNgScohnvlmB7lFpQDcHt+Mcf3bExSg+XlERMQ5OVRUgoOD8fLyIisr67TlWVlZVb4HxcfHh65du7Jnz56zruPn54efn58j0eQc9uUUMXHJVn7ecwyAtqH1mHZDZ+KiND+PiIg4N4cu/fj6+hIXF0dSUlLlMrvdTlJS0mlnTc7FZrOxdetWwsPDHUsqDistt/Pmit30S1zFz3uO4edt5Yn+7fhm7GUqKSIi4hIcvvSTkJDAyJEj6d69Oz179iQxMZGioqLKp4BGjBhBREQE06ZNA2Dq1KlcfPHFtG7dmhMnTvDyyy9z4MABRo8eXbOfRE6zfl8uTy7eyu6jhQBc1iaYZwdHE9WorsnJREREqs7hojJkyBCys7OZNGkSmZmZxMbGsnz58sobbNPT07Fa/3Oi5vjx49x9991kZmZy0UUXERcXx5o1a+jYsWPNfQqpdKywhOeX7awcWTa4ni9PXdORa2OaaPwaERFxORbDMAyzQ/yZ/Px8goKCyMvLIzAw0Ow4TsluN5j3awYvLt9J3qkyAG7r2Yxx/dvRoI6vyelERMQT1cT3t+b6cQO/Hc5j4pJtbEo/AUCH8ECeuz5aI8uKiIjLU1FxYYUl5Uz/fhdz1uzDbkBdXy8S/taOkb2i8NbIsiIi4gZUVFyQYRgs25rJ1G9+Iyu/YgTfgZ3DeeqajoQFacJHERFxHyoqLmZ/ThGTvvqNVbuyAYhqVIep10XTp21jk5OJiIjUPBUVF1FcZmPW/+1l5sq9lJbb8fWycv/lrbj/8lb4+3iZHU9ERKRWqKi4gJ92ZzPpy9/Yl1MxgeBlbYKZel00LYI1JoqIiLg3FRUnlpVfzDPfbOebLUcACKnvx1PXdOSaLuEaE0VERDyCiooTKrfZmbv2ANN/2EVhSTlWC4zs3ZyEq9pS318TCIqIiOdQUXEym9KPM3HJNn47nA9ATGQDnhscTXREkMnJRERELjwVFSeRW1TKS8t3Mu/XDAAC/b0ZN6A9t/ZohpdVl3lERMQzqaiYzGY3+Gx9Oi9/l1o59P0N3SL4x9UdCK7nZ3I6ERERc6momGhT+nGe+nIb2w5VXObpEB7IM9d1onvzhiYnExERcQ4qKiY4VljCS8tTmb+h4jJPfX9vHr2qLcMu1tD3IiIi/01F5QKy2Q0+XXeAV77fVXmZ58ZuTRk/oD2N6+syj4iIyP9SUblANqYfZ9J/XebpGB7IM4M7ERelyzwiIiJno6JSy44VlvDi8p18vuEgUHGZ57G/tWNofDNd5hEREfkTKiq15PfLPC9/l0p+cTkAN8VVXObR0zwiIiJVo6JSC5IPVFzm+X3QNl3mERERqR4VlRqUU1jCi9/uZEFyxWWeQH9vHuvXjqHxURq0TUREpBpUVGpAuc3Op+vTeeW/LvPc0r0pT/TXZR4REZHzoaJynn5JO8bTX/3GzswCADo1CWTqddHERV1kcjIRERHXp6JSTYdPnOL5ZTv4ZssRAIICfHj0b211mUdERKQGqag4qLjMxrur0pixcg/FZXYsFri9ZzMe/Vs7Gtb1NTueiIiIW1FRqSLDMPh+exbPLt1ORu4pAHo0v4jJgzoRHRFkcjoRERH3pKJSBXuOFjDl6+38tDsHgLBAfyZc3Z5rY5pgsegyj4iISG1RUTmH/OIyXv/Xbj5cs59yu4Gvl5V7/tKS+y9vRV0/HToREZHapm/bM7DbDRYmH+Sl73aSU1gKwFUdQ5k4sANRjeqanE5ERMRzqKj8j43px5ny1W9sPpgHQMvGdZk8qBN92jY2OZmIiIjnUVH5t6MFxbz4bSpfbKwYVbaenzcP923DiF7N8fXW5IEiIiJm8PiiUlpuZ86afbyRtIfCkopRZW+Oa8rj/dsRUt/f5HQiIiKezaOLysrUo0z9ejtpOUUAxEQ2YMq1nYiNbGBuMBEREQE8uKgUl9mYsGgrR/KKCa7nx7j+7bixW1OsGlVWRETEaXhsUfH38WLiwI6kZBxn7JVtCPT3MTuSiIiI/A+PLSoAA7uEM7BLuNkxRERE5Cz0OIuIiIg4LRUVERERcVoqKiIiIuK0VFRERETEaamoiIiIiNNSURERERGnpaIiIiIiTktFRURERJxWtYrKjBkzaN68Of7+/sTHx7N+/foqbTdv3jwsFguDBw+uzm5FRETEwzhcVObPn09CQgKTJ09m48aNxMTE0K9fP44ePXrO7fbv389jjz3GZZddVu2wIiIi4lkcLirTp0/n7rvvZtSoUXTs2JFZs2ZRp04dZs+efdZtbDYbQ4cOZcqUKbRs2fK8AouIiIjncKiolJaWkpycTN++ff/zBlYrffv2Ze3atWfdburUqYSEhHDXXXdVaT8lJSXk5+ef9hIRERHP41BRycnJwWazERoaetry0NBQMjMzz7jN6tWref/993n33XervJ9p06YRFBRU+YqMjHQkpoiIiLiJWp09uaCggOHDh/Puu+8SHBxc5e0mTJhAQkJC5c95eXk0a9ZMZ1ZERERcyO/f24ZhVPs9HCoqwcHBeHl5kZWVddryrKwswsLC/rD+3r172b9/P4MGDapcZrfbK3bs7U1qaiqtWrX6w3Z+fn74+flV/vz7B9WZFREREddTUFBAUFBQtbZ1qKj4+voSFxdHUlJS5SPGdrudpKQkxowZ84f127dvz9atW09bNnHiRAoKCnj99derXDyaNGlCRkYG9evXx2KxOBL5rPLz84mMjCQjI4PAwMAaeU9PoONWPTpu1adjVz06btWnY1c9ZzpuhmFQUFBAkyZNqv2+Dl/6SUhIYOTIkXTv3p2ePXuSmJhIUVERo0aNAmDEiBFEREQwbdo0/P39iY6OPm37Bg0aAPxh+blYrVaaNm3qaNQqCQwM1C9iNei4VY+OW/Xp2FWPjlv16dhVz/8et+qeSfmdw0VlyJAhZGdnM2nSJDIzM4mNjWX58uWVN9imp6djtWrAWxERETl/1bqZdsyYMWe81AOwcuXKc247Z86c6uxSREREPJDHnvrw8/Nj8uTJp920K39Ox616dNyqT8euenTcqk/Hrnpq67hZjPN5ZkhERESkFnnsGRURERFxfioqIiIi4rRUVERERMRpqaiIiIiI03LLorJq1SoGDRpEkyZNsFgsLFmy5E+3WblyJd26dcPPz4/WrVt77GPUjh67I0eOcPvtt9O2bVusVisPP/zwBcnpbBw9bosWLeKqq66icePGBAYG0qtXL7777rsLE9aJOHrcVq9ezSWXXEKjRo0ICAigffv2vPbaaxcmrJOpzr9zv/v555/x9vYmNja21vI5K0eP28qVK7FYLH94nW0iXndVnd+3kpISnnzySaKiovDz86N58+bMnj3b4X27ZVEpKioiJiaGGTNmVGn9ffv2MXDgQK644gpSUlJ4+OGHGT16tEd+cTh67EpKSmjcuDETJ04kJiamltM5L0eP26pVq7jqqqtYtmwZycnJXHHFFQwaNIhNmzbVclLn4uhxq1u3LmPGjGHVqlXs2LGDiRMnMnHiRN55551aTup8HD12vztx4gQjRozgyiuvrKVkzq26xy01NZUjR45UvkJCQmopoXOqznG75ZZbSEpK4v333yc1NZXPPvuMdu3aOb5zw80BxuLFi8+5zhNPPGF06tTptGVDhgwx+vXrV4vJnF9Vjt1/69Onj/HQQw/VWh5X4ehx+13Hjh2NKVOm1HwgF1Hd43b99dcbw4YNq/lALsSRYzdkyBBj4sSJxuTJk42YmJhazeXsqnLcfvzxRwMwjh8/fkEyuYKqHLdvv/3WCAoKMo4dO3be+3PLMyqOWrt2LX379j1tWb9+/Vi7dq1JicTT2O12CgoKaNiwodlRXMqmTZtYs2YNffr0MTuKS/jggw9IS0tj8uTJZkdxObGxsYSHh3PVVVfx888/mx3H6X311Vd0796dl156iYiICNq2bctjjz3GqVOnHH6vag2h724yMzMr5yr6XWhoKPn5+Zw6dYqAgACTkomneOWVVygsLOSWW24xO4pLaNq0KdnZ2ZSXl/P0008zevRosyM5vd27dzN+/Hh++uknvL31T39VhYeHM2vWLLp3705JSQnvvfcel19+OevWraNbt25mx3NaaWlprF69Gn9/fxYvXkxOTg4PPPAAx44d44MPPnDovfTbKmKyTz/9lClTpvDll1963HXv6vrpp58oLCzkl19+Yfz48bRu3ZrbbrvN7FhOy2azcfvttzNlyhTatm1rdhyX0q5du9Puq+jduzd79+7ltdde46OPPjIxmXOz2+1YLBY++eSTytmTp0+fzk033cTMmTMdOgGgogKEhYWRlZV12rKsrCwCAwN1NkVq1bx58xg9ejQLFiz4w+VHObsWLVoA0LlzZ7Kysnj66adVVM6hoKCADRs2sGnTpsoJZe12O4Zh4O3tzffff89f//pXk1O6jp49e7J69WqzYzi18PBwIiIiKksKQIcOHTAMg4MHD9KmTZsqv5eKCtCrVy+WLVt22rIffviBXr16mZRIPMFnn33GnXfeybx58xg4cKDZcVyW3W6npKTE7BhOLTAwkK1bt562bObMmaxYsYKFCxdWFj+pmpSUFMLDw82O4dQuueQSFixYQGFhIfXq1QNg165dWK1WmjZt6tB7uWVRKSwsZM+ePZU/79u3j5SUFBo2bEizZs2YMGEChw4dYu7cuQDcd999vPnmmzzxxBPceeedrFixgs8//5ylS5ea9RFM4+ixg4o/2t+3zc7OJiUlBV9fXzp27Hih45vG0eP26aefMnLkSF5//XXi4+Mrx2QICAg47f9A3J2jx23GjBk0a9aM9u3bAxWPeb/yyiv8/e9/NyW/mRw5dlarlejo6NO2DwkJwd/f/w/L3Z2jv3OJiYm0aNGCTp06UVxczHvvvceKFSv4/vvvzfoIpnD0uN1+++0888wzjBo1iilTppCTk8Pjjz/OnXfe6fiVivN+bsgJ/f442f++Ro4caRiGYYwcOdLo06fPH7aJjY01fH19jZYtWxoffPDBBc/tDKpz7M60flRU1AXPbiZHj1ufPn3Oub6ncPS4vfHGG0anTp2MOnXqGIGBgUbXrl2NmTNnGjabzZwPYKLq/K3+N099PNnR4/biiy8arVq1Mvz9/Y2GDRsal19+ubFixQpzwpuoOr9vO3bsMPr27WsEBAQYTZs2NRISEoyTJ086vG+LYRiGY9VGRERE5MLQOCoiIiLitFRURERExGmpqIiIiIjTUlERERERp6WiIiIiIk5LRUVEREScloqKiIiIOC0VFREREXFaKioiIiLitFRURERExGmpqIiIiIjTUlERERERp/X/wDzU7Iz0G7QAAAAASUVORK5CYII=", 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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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", 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" ] }, "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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", 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" ] }, "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 }