{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Kruskal-Szekeres coordinates in Schwarzschild spacetime\n", "\n", "This Jupyter/SageMath notebook is relative to the lectures\n", "[Geometry and physics of black holes](https://luth.obspm.fr/~luthier/gourgoulhon/bh16/)\n", "\n", "The involved computations make use of tools developed through the [SageManifolds project](https://sagemanifolds.obspm.fr).\n", "\n", "*NB:* a version of SageMath at least equal to 9.4 is required to run this notebook: " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'SageMath version 9.5.beta7, Release Date: 2021-11-18'" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "version()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we set up the notebook to display mathematical objects using LaTeX formatting:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%display latex" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spacetime\n", "\n", "We declare the spacetime manifold $M$:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4-dimensional differentiable manifold M\n" ] } ], "source": [ "M = Manifold(4, 'M')\n", "print(M)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The ingoing Eddington-Finkelstein domain\n", "\n", "The domain of ingoing Eddington-Finkelstein coordinates $(\\tilde t, r, \\theta, \\phi)$:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "M_EF = M.open_subset('M_EF', latex_name=r'M_{\\rm EF}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Schwarzschild-Droste domain\n", "\n", "The domain of Schwarzschild-Droste coordinates is $M_{\\rm SD} = M_{\\rm I} \\cup M_{\\rm II}$:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "M_SD = M_EF.open_subset('M_SD', latex_name=r'M_{\\rm SD}')\n", "M_I = M_SD.open_subset('M_I', latex_name=r'M_{\\rm I}')\n", "M_II = M_SD.open_subset('M_II', latex_name=r'M_{\\rm II}')\n", "M_SD.declare_union(M_I, M_II)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Schwarzschild-Droste coordinates $(t,r,\\theta,\\phi)$:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm SD},(t, r, {\\theta}, {\\varphi})\\right)\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm SD},(t, r, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M_SD, (t, r, th, ph))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = var('m')\n", "assume(m>=0)\n", "X_SD. = M_SD.chart(r't r:(0,+oo) th:(0,pi):\\theta ph:(0,2*pi):\\varphi',\n", " coord_restrictions=lambda t,r,th,ph: r!=2*m)\n", "X_SD" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm I},(t, r, {\\theta}, {\\varphi})\\right)\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm I},(t, r, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M_I, (t, r, th, ph))" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_SD_I = X_SD.restrict(M_I, r>2*m)\n", "X_SD_I " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm II},(t, r, {\\theta}, {\\varphi})\\right)\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm II},(t, r, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M_II, (t, r, th, ph))" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_SD_II = X_SD.restrict(M_II, r<2*m)\n", "X_SD_II" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm SD},(t, r, {\\theta}, {\\varphi})\\right)\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm SD},(t, r, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M_SD, (t, r, th, ph))" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M.default_chart()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Eddington-Finkelstein coordinates\n", "\n", "The ingoing Eddington-Finkelstein chart:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm EF},({\\tilde{t}}, r, {\\theta}, {\\varphi})\\right)\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm EF},({\\tilde{t}}, r, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M_EF, (te, r, th, ph))" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_EF. = M_EF.chart(r'te:\\tilde{t} r:(0,+oo) th:(0,pi):\\theta ph:(0,2*pi):\\varphi') \n", "X_EF" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} {\\tilde{t}} & = & 2 \\, m \\log\\left({\\left| \\frac{r}{2 \\, m} - 1 \\right|}\\right) + t \\\\ r & = & r \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} {\\tilde{t}} & = & 2 \\, m \\log\\left({\\left| \\frac{r}{2 \\, m} - 1 \\right|}\\right) + t \\\\ r & = & r \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.$$" ], "text/plain": [ "te = 2*m*log(abs(1/2*r/m - 1)) + t\n", "r = r\n", "th = th\n", "ph = ph" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_to_EF = X_SD.transition_map(X_EF, [t+2*m*ln(abs(r/(2*m)-1)), r, th, ph])\n", "SD_to_EF.display()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} t & = & 2 \\, m \\log\\left(2\\right) + 2 \\, m \\log\\left(m\\right) - 2 \\, m \\log\\left({\\left| -2 \\, m + r \\right|}\\right) + {\\tilde{t}} \\\\ r & = & r \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} t & = & 2 \\, m \\log\\left(2\\right) + 2 \\, m \\log\\left(m\\right) - 2 \\, m \\log\\left({\\left| -2 \\, m + r \\right|}\\right) + {\\tilde{t}} \\\\ r & = & r \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.$$" ], "text/plain": [ "t = 2*m*log(2) + 2*m*log(m) - 2*m*log(abs(-2*m + r)) + te\n", "r = r\n", "th = th\n", "ph = ph" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_to_EF.inverse().display()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm I},({\\tilde{t}}, r, {\\theta}, {\\varphi})\\right)\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm I},({\\tilde{t}}, r, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M_I, (te, r, th, ph))" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_EF_I = X_EF.restrict(M_I, r>2*m)\n", "X_EF_I " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm II},({\\tilde{t}}, r, {\\theta}, {\\varphi})\\right)\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm II},({\\tilde{t}}, r, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M_II, (te, r, th, ph))" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_EF_II = X_EF.restrict(M_II, r<2*m)\n", "X_EF_II " ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[\\left(M_{\\rm SD},(t, r, {\\theta}, {\\varphi})\\right), \\left(M_{\\rm I},(t, r, {\\theta}, {\\varphi})\\right), \\left(M_{\\rm II},(t, r, {\\theta}, {\\varphi})\\right), \\left(M_{\\rm EF},({\\tilde{t}}, r, {\\theta}, {\\varphi})\\right), \\left(M_{\\rm SD},({\\tilde{t}}, r, {\\theta}, {\\varphi})\\right), \\left(M_{\\rm I},({\\tilde{t}}, r, {\\theta}, {\\varphi})\\right), \\left(M_{\\rm II},({\\tilde{t}}, r, {\\theta}, {\\varphi})\\right)\\right]\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[\\left(M_{\\rm SD},(t, r, {\\theta}, {\\varphi})\\right), \\left(M_{\\rm I},(t, r, {\\theta}, {\\varphi})\\right), \\left(M_{\\rm II},(t, r, {\\theta}, {\\varphi})\\right), \\left(M_{\\rm EF},({\\tilde{t}}, r, {\\theta}, {\\varphi})\\right), \\left(M_{\\rm SD},({\\tilde{t}}, r, {\\theta}, {\\varphi})\\right), \\left(M_{\\rm I},({\\tilde{t}}, r, {\\theta}, {\\varphi})\\right), \\left(M_{\\rm II},({\\tilde{t}}, r, {\\theta}, {\\varphi})\\right)\\right]$$" ], "text/plain": [ "[Chart (M_SD, (t, r, th, ph)),\n", " Chart (M_I, (t, r, th, ph)),\n", " Chart (M_II, (t, r, th, ph)),\n", " Chart (M_EF, (te, r, th, ph)),\n", " Chart (M_SD, (te, r, th, ph)),\n", " Chart (M_I, (te, r, th, ph)),\n", " Chart (M_II, (te, r, th, ph))]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M.atlas()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Kruskal-Szekeres coordinates" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M,(T, X, {\\theta}, {\\varphi})\\right)\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M,(T, X, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M, (T, X, th, ph))" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_KS. = M.chart(r'T X th:(0,pi):\\theta ph:(0,2*pi):\\varphi', \n", " coord_restrictions=lambda T,X,th,ph: T^2 < 1 + X^2)\n", "X_KS" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm I},(T, X, {\\theta}, {\\varphi})\\right)\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm I},(T, X, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M_I, (T, X, th, ph))" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_KS_I = X_KS.restrict(M_I, [X>0, T-X])\n", "X_KS_I " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm II},(T, X, {\\theta}, {\\varphi})\\right)\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm II},(T, X, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M_II, (T, X, th, ph))" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_KS_II = X_KS.restrict(M_II, [T>0, T>abs(X)])\n", "X_KS_II" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm EF},(T, X, {\\theta}, {\\varphi})\\right)\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm EF},(T, X, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M_EF, (T, X, th, ph))" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_KS_EF = X_KS.restrict(M_EF, X+T>0)\n", "X_KS_EF" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} T & = & \\sqrt{\\frac{r}{2 \\, m} - 1} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\sinh\\left(\\frac{t}{4 \\, m}\\right) \\\\ X & = & \\sqrt{\\frac{r}{2 \\, m} - 1} \\cosh\\left(\\frac{t}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m}\\right)} \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} T & = & \\sqrt{\\frac{r}{2 \\, m} - 1} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\sinh\\left(\\frac{t}{4 \\, m}\\right) \\\\ X & = & \\sqrt{\\frac{r}{2 \\, m} - 1} \\cosh\\left(\\frac{t}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m}\\right)} \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.$$" ], "text/plain": [ "T = sqrt(1/2*r/m - 1)*e^(1/4*r/m)*sinh(1/4*t/m)\n", "X = sqrt(1/2*r/m - 1)*cosh(1/4*t/m)*e^(1/4*r/m)\n", "th = th\n", "ph = ph" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_I_to_KS = X_SD_I.transition_map(X_KS_I, [sqrt(r/(2*m)-1)*exp(r/(4*m))*sinh(t/(4*m)), \n", " sqrt(r/(2*m)-1)*exp(r/(4*m))*cosh(t/(4*m)), \n", " th, ph])\n", "SD_I_to_KS.display()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} T & = & \\sqrt{-\\frac{r}{2 \\, m} + 1} \\cosh\\left(\\frac{t}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m}\\right)} \\\\ X & = & \\sqrt{-\\frac{r}{2 \\, m} + 1} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\sinh\\left(\\frac{t}{4 \\, m}\\right) \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} T & = & \\sqrt{-\\frac{r}{2 \\, m} + 1} \\cosh\\left(\\frac{t}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m}\\right)} \\\\ X & = & \\sqrt{-\\frac{r}{2 \\, m} + 1} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\sinh\\left(\\frac{t}{4 \\, m}\\right) \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.$$" ], "text/plain": [ "T = sqrt(-1/2*r/m + 1)*cosh(1/4*t/m)*e^(1/4*r/m)\n", "X = sqrt(-1/2*r/m + 1)*e^(1/4*r/m)*sinh(1/4*t/m)\n", "th = th\n", "ph = ph" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_II_to_KS = X_SD_II.transition_map(X_KS_II, [sqrt(1-r/(2*m))*exp(r/(4*m))*cosh(t/(4*m)), \n", " sqrt(1-r/(2*m))*exp(r/(4*m))*sinh(t/(4*m)), \n", " th, ph])\n", "SD_II_to_KS.display()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} T & = & -\\frac{1}{4} \\, {\\left(\\frac{r e^{\\left(-\\frac{{\\tilde{t}}}{4 \\, m}\\right)}}{m} - 4 \\, \\cosh\\left(\\frac{{\\tilde{t}}}{4 \\, m}\\right)\\right)} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\\\ X & = & \\frac{1}{4} \\, {\\left(\\frac{r e^{\\left(-\\frac{{\\tilde{t}}}{4 \\, m}\\right)}}{m} + 4 \\, \\sinh\\left(\\frac{{\\tilde{t}}}{4 \\, m}\\right)\\right)} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} T & = & -\\frac{1}{4} \\, {\\left(\\frac{r e^{\\left(-\\frac{{\\tilde{t}}}{4 \\, m}\\right)}}{m} - 4 \\, \\cosh\\left(\\frac{{\\tilde{t}}}{4 \\, m}\\right)\\right)} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\\\ X & = & \\frac{1}{4} \\, {\\left(\\frac{r e^{\\left(-\\frac{{\\tilde{t}}}{4 \\, m}\\right)}}{m} + 4 \\, \\sinh\\left(\\frac{{\\tilde{t}}}{4 \\, m}\\right)\\right)} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.$$" ], "text/plain": [ "T = -1/4*(r*e^(-1/4*te/m)/m - 4*cosh(1/4*te/m))*e^(1/4*r/m)\n", "X = 1/4*(r*e^(-1/4*te/m)/m + 4*sinh(1/4*te/m))*e^(1/4*r/m)\n", "th = th\n", "ph = ph" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "EF_to_KS = X_EF.transition_map(X_KS_EF, [exp(r/(4*m))*(cosh(te/(4*m))-r/(4*m)*exp(-te/(4*m))), \n", " exp(r/(4*m))*(sinh(te/(4*m))+r/(4*m)*exp(-te/(4*m))), \n", " th, ph])\n", "EF_to_KS.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot of the IEF grid in terms of KS coordinates:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "graph = X_EF.plot(X_KS, ambient_coords=(X,T), fixed_coords={th:pi/2,ph:pi}, \n", " ranges={te:(-16,6), r:(1e-6,5)}, steps={te:1, r:0.5}, \n", " style={te:'--', r:'-'}, parameters={m:1})\n", "graph1 = copy(graph)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "graph += text(r'$\\tilde{t}=0$', (2.65, 0.25), fontsize=16, color='red', rotation=-24)\n", "graph += text(r'$\\tilde{t}=2m$', (2.8, 1.6), fontsize=16, color='red')\n", "graph += text(r'$\\tilde{t}=-2m$', (2.68, -0.9), fontsize=16, color='red', rotation=-35)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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nD4RIXJx7jksjPFNUECnCwrgpS2oqFGNQEMxQd+8iBSc4GJXNkpIQOLNyJQSJbVYYgUAgEOQkHj7EHLNuHR7L8Q0+PijDXacOBMXp06iPdOkSLOj+/nCH/PWX+jaY0RJ98WLE/tlbfvu//+x7n5vxXFFBBGGxYUNmYSEHbyYmIsYiTx6IjaJF4QLR6aA2a9dGTIZAIBAIBMZcugTLwenTsDj06QPXx5kziNnLlQuNLCdNQpZh48ZE//6LeIoRI4i++grCQo0RI9C59OefiXr0sG9f795FSEAWwLNFBZF5YZGcDMWXlIQTHh6OQiKSpHQ3PXZMKUwiEAgEAgER0YEDKFAVFYWb1OHD0ezr5EkIi6FDiS5cwDI//YRql6tXowupLChGjVLfzo0bCP6cMoWob1/797d37yxzg+z5ooLIvLBISlKExaNHEBYhIbBWMCPYZv9+fAmEK0QgEAgEq1ahinPZskRFihB9/TXKbR86BLd5iRKoIVGzJizgBw8SffABblSrV0egpjWCghl9q86ds86iYYkpU4h69XJsHW7CM7M/zJGcjLaw27Ypz/n4oLpmUhJERWAglGdcHPqERESgIlqhQlChuXNrt/8CgUaI7A+BgGA1GDwYdSKWLcNzAQFEe/dibqlUCW0hlizBJD59Om5U16+H+8HLyvvwRYsQE7hoEW5y7YEZrpfUVOz3/ftEBoPI/nAq5iwWCQn44J8+xYkPCUGXt/BwvCcoCLEXxYqlb04mEAgEguyPnDI6aBAqMp85A8tDQABef/qUqHJlZHz89RfEwIIFmEvGjYMIWb/eum39+ScKMoaE4KbXHuLiIHI+/hiZJq1aweKRBchaooLIfFZIdDS+IElJiK0IDMSywcHKhxsfj3bqFy5ot/8CgUAgcB+JiejLMWUKLBFXr8IC4O8P67UkIfbh+HHMFceOEfXsifeOGwf3+ejR6OmhxubNCMbs1o1o9mz1ct0ZiY2FK6ZgQbSuqFmT6OJFovnz4a7JCjCzLcNzSE5mbt6cGUYiDB8f5tBQ/O/ry1y4MHP+/MxhYcrr8mvR0VofgUDgNvR6PRMR6/V6rXdFIHAfjx8zP/88c0AAc+XKzEFBzFu24LVVqzAn1KyJeWHgQOaEBOW9Y8fi+dGjrdvW2bPMgYHM7dphfrKFmBjmb79lzpMH+6TTMXfvzixJGZe0dc52+8h6lgoZX1/TFouEBBQjSUlBsxZfX7g/QkLwuq8vomhfeQWqUCAQCATZj+vXkQZ65gzR5MmYD7ZsQefR339H8Sp/f6IrV1DbaNo0xR3CjM6j1pbeJoJbZeJExGpYG0chWyZKllQKan35JapC//qr7ZYODyBrBWqaIiUFATQZgzeDg+GXyp0bj5kRwBkTo1Th9PMjmjsXXecEgmyMCNQU5Cj27cMEHRCAm88KFTAfBAfjmv/OO5gD6tQhWro0fensGzcQfydJ1gVm/vcfBIwtdSTi4lC7YuJEFHLs04do2DDFxWF+2x6vMrKupULGnMUiLg4Wi8ePkYssSQjcDA9XhEZUFL54P/2k3f4LBAKBwHlMngwLRXAwbib/+APPBwej9IBseRg2DFkfxoJi3DgIkGvXrBMUV64QtWgB64IkqS8fH494DmPLxKVLsFZ0746OqETWZ5l4IFl3z40xJyyio+H2iI9HOVa5TjszUkz9/LDse+8RffONNvsuEAgEAucwdCiyPMLC4Frw9VX6cqxahcDHpCSitWsxuRu7KeSgzE8+sa7p1+3bmHPklFNLQiAhAc3KSpYk+uwzok6dEIA5ezbmoldfhUB5/nlHjt4zsDEIw7MxF7yZKxf+9/JizpePuVgxBMQQMXt7K8vOnq31EQgELkEEagqyNZLE3KULruMFCzJHRjJXq8Z89y5zaqoyL9SuzXzjRub3y0GZX31l3fYePGCuUAFzyfXr5pdLSGD+8Ufsk7c3c58+zFeupN/v/v0xT23das2WNQ/EVBvZS1QwWy8sSpRgjohQnvP2Zi5QgPn8ea2PQCBwGtOnT+eKFStyuXLlhKgQZE9SUph798a1vGZN/F+/PvOTJ5j8S5bEay+8YDor49EjXPutFRTMEAYNGpifL5KSmGfNYi5SBPNLr17Mly5lXm7+fOzbnDnWbllz0aA2sn6gpinMBW+GhqLISaFCyAAJDESQTFQUgnaKFsXrdevCnGVvJTSBwMMQgZqCbElsLGIRtm4lGjOG6NNPlRYOx49jHoiLI+rXD66GjKSk4Dr/6BEaU6oRH4/3hIcrPaaMSU1FN9IxYxC82aMHSnqXL296fTExKJZlfQluEaipCeZiLGJjUbb73j18MfR6PI6IIMqXDylHycn4gtapAz+YQCAQCDyP+/eJSpdGwalhwxDseOYMkbc30axZ6O+RnIwMC1OCYtw4zBHJydYJiuRkoq5dUV0zo6CQJASEVqqEGI5atYhOnULqqilBcewYYipCQ7NMTw9ryZ6igsi0sEhJgTIMD1eyQp48QTaIJBHVqKEo13//RdnWp081OwSBQCAQmODsWaIyZXAj+NJLEA4dOuDmsH17lLcePhwdrIcPz/x+OSizRQslYN8SBgPRW2/B+j1ypCIomBEA+txzRK+/DgFx7BjRihWYP0xx/TpR27ZEQ4bYffgejY3+kqyHqRgLX18E8siPw8OZy5VjzpsXFdGIUIGNiLl8ea2PQCBwGBGoKcg27N7N7OeH63OHDvg7aBDzvn3MRYvi+l67tqlqlMDWSpmSxPzOO4iNWLlSeW7TJmyHiLlFC+b9+9XX9fQpc5UqiOm7f9+67adH85gJtZF9LRUyssWiRQvlOdliERmJx3o9XCK5c6NYSlAQ6sWHhCCHePVqTXZdIBAIBEZs3AjLRGoq+mEcOED01VdI1XzhBZQR8PJCTIOpapT79yu9PKytlPnPPyiYNW8eCiXu3YtttW6N+WX7drjM69e3vJ6UFMR/3LyJxpj58tl8+FmB7C8qiPDBb9hgWViEhCBYp2BBlG4NDUUMRsWK8KOVKUN04oQmuy8QCAQ5ntmz4dpo0QKNwN5+GyLh5EnUp8iXD9f1jRvNV7ds0ACiwFpBQaSU+n7uOXQObdIEc8e6dRAcL75o3Xr++4/oyBEEZlasaP32sxjZM/vDHCkp+FL8/bfynK9v+qwQvR4lWm/dgsXi3j2iKlUQdOPtDVWaHQqUCHIUIvtDkGVhJvrwQxSPatwYQZXx8UQTJqAb6KNHRG++iayLjRuJGjbMvI7x4/G+d96xfrszZ0I8dOoEEbJsGfp7fP01bjTtqXoZHY3CXPYjsj88CksWi1y5UCEtJgYlWosWxRe3bVui06dhwTAYiJo2JVqzRqMDEAgEghyEwYC0zKlTYVVmxjW8XDlYHUJDiY4eRTOw//4zLSjGjSP6/HMEbVrLr78SDRiAv5UrwyIydy4sFt272yYoVq5EEKdc0Tmbk7NEBZF1rpC4OKLLl4mKFyfavRsRvXfvEhUujC91p05E585psvsCgUCQI0hIIGrWDBaCokURN/Hvv7ixmz4dVoqkJKJDhxA/Ubhw5nXIWR5ffWW9y+PXX5Hp4e2N6/7EiUQXLqDpl4+Pbcdw8CCsKJJk+3uzKDlPVBCZFxbR0YqwSEjAF6lUKVgw5L9FiuD1uXMhMAQCgUDgXKKiEJC5dy9R1arox3H5MuIm9u6F5WLfPsS91apleh3z5imCYtQo9W3GxaEPVM+esER89hn6cQwdqrREt4Vr15DmWrMm0YIFWbpJmC3kjKM0hSWLRe7ceBwcjJxiOR+6YkXEWpQti054tWoR9e8vxIVAIBA4i5s3iRo1gjtj1SpYIvLmxfXZzw+Wi0mTYJ3YsweuEFN06oQO1GqCIiUFQaBlyhD98gtR7dpEV68idsJed0V0NFznISHIHrRHlGRRcq6oILJsscidG4WxIiJgsShfHgKjRg1UQnvlFZSBnT0b7WtTUrQ7DoFAIMgOnD4Ny8SFC0Tffw/LQefO6OLZvj3R4cNEP/yAAoZ79sBFnZGZM4lu3MA1/N13zW+LmWj5csRMvP8+2jOcP49tFC3q2HGEhGBeWL8egignYWNhi+xJcjKKl2QskJU7N7NOpzyuXRvFsXr2xHPVqyvLN2zIHBur9ZEIBCYRxa8EHs/u3cz+/rie9uiBooRBQbj2TpuGbqPMzPfuMT98aHodcmGrH3+0vK0dO5jr1MGyTZuia3XLlo4fgyQxnz7t+HrMo3lxK7WRsy0VMtbEWKSkoE5FlSoowdq1Kx7LNeP37ct2NdwFAoHALSxfjnoPSUmwLqxahRiHXLlgkahWDZaEe/eI8uc33atDDsocPZrogw9Mb+fUKZQVePFFuE+WL4cFOiICKamOMnEiUfXqiP/IoQhRIaPmCiFCetOxYzDPrVuHL+ejR/ji63QI6omPFzEWAo9hxowZVKlSJapTp47WuyIQmGbOHKSN6nRECxei1kRSEuoB/fsvagi1bo2JPzTU9Dq+/dZypcybN4n+9z8UsLp4EXEZGzZg+ZQUVMTMn9+x41i9Gl1SP/kEjc5yKjaaNrI/yckwgxm7Qvz84AohgjkuNBTuDn9/5s6d8XxoKF6rXZu5ZElXm8AEApsQ7g+BxyFJzJ9+iuvngAHMx48zt2uHxyNGwN3x559wf7Rrx5yQYH5dq1Yxf/NN5uefPsU2AgLQ22n6dFzjmZn/+Ye5eHHm//5z/FiOH8f1v2tXZoPB8fWZR3P3htoQosIUasKibFnm4GDmevUgLF57jdOa28iNyPz8mH//XesjEQiYWYgKgYeRmsr85pu4VjZqxPz++8w+Psy5cjGvX49l7tzB9bR7d0UIZGTLFtONw5KSmH/4AdfswEDmL75glr/7SUnKxJ+U5Jzjef555lq1mOPinLM+82guGtSGEBXmUBMW/v4I4qxXD88PHIjHLVoowUZE+DILBBojRIXAY0hKQldoInSLbtwY/xcsyHz5cvpl//lHCdDMiByUuXGj8pwkMS9fzlymDLqK9unDfOuW8npqKnO3bsxvv+3cY3rwgPn2beeu0zSaiwa1IUSFJdSEhbc3/tarBxPdoEF47OOjtFAngslNINAQISoEHsPevbiO5s0LVzERc4MGzPHxeH3KFOYPPzTfupxZERRffaU8t38/3NJEzC+/zHzyZPr3GLcwX7XK8eOQJGzfPWKCedkyZg8QDWpDiAo11ISFj48iLHx8YMYjgtUiJER5/bvvLP9IBAIXIkSFQHNu3mTetAlW3bp1mStUwLXx3XfxuiQxjxmD5z791Pz1MqOguHKF+dVX8dxzzzFv3Wr6fXL8xvz5zjkeeV+dIVDUWL362XStvWhQG0JUWIM1rpCAAObmzWG9GDRIqW+RNy+COImYq1Y1b8oTCFyIEBUCTTl9Gu6NcuWYV6xAXYhixRATwQwB8dFHuE6OHWt+PQYD8yuvQFA8fYr3+Plh3b/8Yv76um4d1j1linOOZ+lSrO/rr52zPkvcuMEcEcHcqROzB4gGtSFEhbWoCYsKFRD926ABhMXQoTCz1a3LXL688p4iRZhjYrQ+GkEOQ4gKgWbs3q0EsMuFA0uWTF/Aas4cPP/99+bXI7sZEhOZZ8yAMAkKgsBQKzxoMEBYOINDh3A8r7/ueutzSgpiTooWZX78mNkDRIPaEKLCFtSERd68+Fu7NgTF8OF4vUUL5kKFlPeEh7vPDycQsBAVAo3YsEGJPStRAn9DQjLHOyQmKlkfphg7FhbfxYuZK1aEJfh//1O/jv75Z/pATmewdCmyPSyluDqLtWtx/vbskZ/RXDSoDSEqbMWaOhZEzDVrphcWROnLfufPLytPgcDlCFEhcDuJiUrdichIXPsKFmS+dk15vWdP5sOHLa9HjqEoUwZ/X3iB+ehR9e1v3Yprb8+eDh8KM6dPa3VtLYr0nDtn/Ehz0aA2REVNW/H1RZOYli2V55KTle6m8fFoJnPsGErLTp5MNHgwuus9foyqcF5eKEHbpAka5wgEAkF2gZlo+nRUrjxyhCgwENWIK1VChczixXH9a98elS0fPDC/rhEjMLy8sN5Vq4h27EA7cUscOoQupc2aEc2d6/gxSRKqfn78MR67uo35w4eoLsqMZpZZCRtViEBGzWIRFgZLRdu2UOgffww/nE6HAi++vnCD6HSiSJbA5QhLhcAtpKQwv/EGroEdO+Jvly7Mjx4xR0djmagopH6GhDBv3256PcnJyK7Q6RAIP2kSLBvWcOYMLCMNGzqvGNXnn2Nf1qxxzvosYTAgJTZvXlPWbM0tEWpDiApHUBMWlSrhB9GsGR5//DHcIwUKwCzo5aW8b8IErY9GkI0RokLgcuLilGtdWBgm4YCAzGWwW7ZENsPBg6bXs2EDgtu9vOC6ePDAtv24eBHVjZ88se84MrJ4MaeVBXAHkydjexs2mHpVc9GgNoSocJTkZOaXXjIvLMqW5bTsEFlYhIcjmLNRo/TvGzBA66MRZFOEqBC4lNRU1IiQa/fI2R7vvJM5zfPw4cyBmszM588zt2mD90VEMB85Yts+3L+vlOJ2FseO4Xr+v/+5p87QoUOwYg8fbm4JzUWD2hCiwhmoCYt8+ThdoNHHH8M8FxCQvqQ3EXKtBQInI0SFwKX89RfEhJeXct378ktlIr58GQLDlAvj6VNU0PT1hZggYh41yrbtP33KXL06LMDOJCmJ+dtvrXe9OMobbzDXqWOpJ4nmokFtCFHhLNSERYECnJafTQQlmjs3hIVcdbNIEZgMv/3WfAMdgcAGpk+fzhUrVuRy5coJUSFwPsePI95Bvva1a4ebKOPWBGfOIOujbFk0CZMxGHATlS8f3MItWnCm0tvWkJDA3LQpYtVMWUDsISaG+cQJ56zLFpKTYXExj+aiQW0IUeFMTAkLf39FWBQujL9t2yrCQv5ByfEVcu36YsVEkSyB0xCWCoHT2bwZN0VyUPo338AyYfwdO3IE17+qVZnv3VOeP3AAhQGJ0OV52TL7BEVKCipsBgQY13JwDIMBwaX58rmj6yhYtgznRB3NRYPaEKLC2agJi8qVYZmQI6M//BAqPlcu1MCXl5f9isbKXiCwEyEqBE7ll1+U61toKMpvd+6cfpnr1yE46tVTshju3UN8AhFiMHbvxvOSZD4TxBKbN+N6+tdfDh1OOtzZ04MZgaxBQXAPqaO5aFAbQlS4AjVXSLVqnFYAi4h52DC4PsqUgfVCrjpHZDp6WiCwESEqBE7j11+V61qBAnDp5suXuSCVJDHPno1U0uRklOAOC8PN0syZCOAcPx7rc4SM7dIdYdUqHNfo0c5bpyXi4zEfVKxoutS4JKFY2G+/yYH8mosGtSFEhatQs1iUKsVpVTaJ0CukeHGl1Lfxa8WLC1eIwCGEqBA4hYcPFTdujRq4MSpVCmmcMitWpK+9s3Mnc5UqiBfr10/p+SFXyrSnKdfUqcwTJzp0KJlITsaxdOnivoqZ77+PeUGOBUlJgcvo+++Zu3VL396hbFlmDxANakOICleiJizkdNNcufB38GB8qSMjleVLlYJ5sW5dxVQoENiIEBUCh4iNZe7eHT0viJj790eAZvXqzHfvKsvNm4f4irfeQl+O117D8vXrp08RlQWFPRaBRYs4LYvO2Vy/7r4buEePIMoGD8Z5aNGCOTiY0yzbjRrhGFevNq7VobloUBtCVLgaNWEhdzCtXx9/Bw2C2MidG41kdDpENsvuEHeZ5QTZCiEqBHZz7x5z6dK4FgUFMc+di+clCeZ7malTOa02xcSJuGblzYv4C+M7/9mz7b+WrVuH62Lv3s6rG5GSwjxihHt6MT15giZhH32EWBM58y8iApkzEyYw791rKYVVc9GgNoSocAdqwqJqVfxQ3nwTjz/4AMWycueG0vfzg89Nfu9bb7m3oY0gyyNEhcAuzp9XakcEBSGI0dubeceO9MvNnMlpmRyVK8NaMWAASnJn5O5dtC63lcOHmQMDEeSekmLHwZhh8GAckysswffvMy9fzjxwIGIn5IaSYWHMnTrhvJ06Zcv1XHPRoDaEqHAXasKiRg38EOXMjwED4IfMl4/5p59QGEa+WyBibtLEPa13BdkCISoENpOUpJjjc+eGKZ4IcQAZq2T++6+SIlq/PipRZuSnn9K7SmxFr8cdvrF1xFHkLBbjuhqOcP8+WqP37482DfK1vnRpWFcWLGAeNw7PrV1rzxY0Fw1qQ4gKd5KczNyqlXlhIWeF+Ppymt+yenXmPHmU4KjSpaGqiZg3btT6iARZBCEqBDYRH48bHSLc3LzzDv4fM0ZxO6SkMH/6KSbJ8HBcx+bONX3XLcdQ2GOhuHYtfSCos9i3D1bgvn3td6U8eoTA1IEDYaExDqp85x1ktty8qSx/8SKEWt++9u615qJBbQhR4W5MCYuAAEVYyPXz5WJY/fox16qFYM5y5TitMFaNGvhBTJzIfOWK1kcl8HCEqBBYzTffwOXh5wd3hl6Pa5AcS8EMn3/Tpso17J13MMGaQhYUtha2Ysadf9myKAro7N4bs2cj8NR8SezMREczr1+P+kLVqyuW49KlIRR++4351i3T701JQRxFqVKOBINqLhrUhhAVWmBOWMhZH9Wrc7o6Fu+8gy+j3IhMTjNt31557+HDWh+VwIMRokKgSmoq0inlOjlbtig3LMYxDLduoa4OEWpU7Ntnfp3jx9svKKKjIWby52e+dMn295vDWJxkdONkJCmJedcu5pEjIWxkK3HhwohtW7iQ+cYN67b7zz+ICbF0vtTRXDSoDSEqtELNYiHHWMjV5/r0QYpRaChzjx4oOlO2LMSFbNmwz0cnyAKMGzeOa9euzSEhIZw3b17u2LEjnzt3zur3C1EhsEhcHALGiXD3vXQpgsUbNFAmYUlC/QnZPfv+++oBk7/9BpeJrSQmMjdvjoBGZ/bgkCSIgbFjzb9+6hTaj7/8MoJTiXDD17Ur86xZzBcu2G81sbWNe2Y0Fw1qQ4gKLckoLHS69MKiVi0ljUung8B44QX45H77DeW9w8KYa9ZU1jFnjtZHJXABrVq14vnz5/Pp06f5xIkT3LZtWy5WrBjHmqrCZwIhKgRmMRhwwyLHeP3+O64tpUphAmVG1crWrbFMnTrqZbF37nTMXXHkCCbynTvtX4cpJk3CMRgX57p3j3nxYuaePXHc8nlo0QLNHY8cUbdoWCIuDuuxxc1iHs1Fg9oQokJrzAkL2RVSq1Z6a8Zbb0HBBwYiOIgI/8uZJTVqOPYDEGQJHjx4wETEu3btsmp5ISoEJrl9W+kOmjcv85Ilyo3KvXu4Po0fj0k2Vy7rrKFyDIU9vTwkSREj0dG2v98SmzfDojt8OPbtk08UV7Psdv7oI7h9nJlh8v77uEbLAs0xNBcNakOICk9AzRUiWyxk0fHGGxARAQEIGNLpYJLs0wc+v06dmL/80rk/DIFHcfHiRSYiPnXqlMnXExMTWa/Xp42bN28KUSFIzx9/4HoRFIQgQ70eQYht22JC37cPmR/e3oixKFHCdN0JYxyplMmM4k9vvOH8Ojy7duE48+VT0mTz5UNtoMWL03dQdSYbNrDdWS+m0Vw0qA0hKjwFU8IiMFARFnKAprc31Pbrr+PH7+eHH7C3N6qzTZmi+DwrV3bdj0WgGZIkcfv27blx48Zmlxk1ahQTUaYhRIWAmVFBkgjXjwMHICbkiTwqCunsOh2K7oWFId5CrWOyo4JiwQK8/8sv7Xu/MYmJzFu3oqeSXLVYp0Ow5bhxqKPh6gKCDx8i9q11a2dmrmguGtSGEBWehFpWiCws3nkHIqJrV1glfH2RWlqxIjJExoxRLBt58zKfOaP1kQmcyPvvv8/Fixfnm8b57xkQlgqBSSRJyRqTJ/ChQ/H/hg3Mf/6JJlbBwXATBAcjWPPJE8vrTUnBtcteQbF+Pa5p77xj/wR86xbzzz+j4qZsjShcGDdgK1cyP31q33rt5ccfcVOoJsZsQ3PRoDaEqPA01FwhdeooVggi/IC6doWVYuFC5saN8f+77yoWi4AANMoRZHkGDhzIRYoU4Ss21iYRMRUCTk3FdUG+a//lF2SS6XSoTfHKK3itXTtcLxISmL/4wnRLbmPu38dfe0tnnz0L10SHDratw2BgPngQwkgu1OXlhWvg+PGo8jltGmJBnDuxW4+5mhX2o7loUBtCVHgi5lwhssVCLofr54e/bdrg4uDtjVK4efLg+Z49odi9vJybliVwO5Ik8YABA7hQoUJ8wY6ALyEqcjjXryvB3EFBCFps2hTXkH794OLIn5952TLm+fOZjx61br1jx+K65Ej57dRUtPq2JgYsNhZdO3v3Vur4RETAGvH77+mbgu3dixuswYPt3zd7uHIF8SquQXPRoDaEqPBUkpOVFC5LwkLOo37pJQQdeXlBWBQrhufbt0clzrx5UVJ3+HDRjCwL0r9/fw4PD+edO3fy3bt300a8lcG4QlTkYPbsQfaGtzeqYl68iGtAt25KBd8+feDimDgRjz/9VH29jlTKZMZdvDUZInfvwq3Rtq3SG6l8eWRq7Npl2rpx5w7iGZo0wbXUXaSmIj23eHGkkjofzUWD2hCiwpNJSbFOWISG4oLRoQMUvE6HIi1VquD1fv0QjyHHWXToIDJDshimgi6JiOfPn2/V+4WoyKHMnq387pcsQYDili3IsggIQC2KbdsQx/DZZ1huxAj1uAZHBUVUFK5PpUubrt9w/jz2sX597L+XF0pqT5pkXWpm69aIDXHEgmIP48djf13R8RRoLhrUhhAVno6asKhXD3/79oWKb9VK8ZtOnw4LhpcXWuwa17x47jnFFyrI9ghRkQOR69jILtI1a3DtCA1V6jXId9NyB9LJk9XXe/s21mGvoEhIgECIiGD+7z88J0loNfD55wg4l62wr7yCrJCHD23bxn//MR86ZN/+2cuZM3AnDR/uyq1oLhrUhhAVWYGMwkKnMy0s5ECrOnVQcIUIvkpZZBQrhh+zvJ7KlZUftSBbI0RFDkKSmEeNUn7nw4ejToJOh1GpUuYJ98ABxFKoIbtOLWQeWSQ1lblzZ1y/du/GGDxYcddGRjK//TbiJuxxH+ze7Sq3gzpvvw1Xs2utwJqLBrUhREVWQU1Y1K+Pv0WLKpaIwYPx/6RJKChDhEjotm05LcApPBzpXIJsjRAVOYT4eNRhCApSYijklFEvL2RKyO6G2FiID2vLR48dixsXRyr2XruGUtgvv6wEWhYqxDxgANww9maQMDMfPw6XzsiR9q/DEZKS3NExWnPRoDaEqMhKWCssSpfG3woVcJdChAvNgAH439+fuXt3/F+yJP726KH10QlciBAVOYC7d1FqWu6EeeECghm9vNBV1DgD7PFjXC9CQqzLDHOksFVKCgpR9emjZKYVL45qwPv2OSdw/PFjXMtq1nR/vNilS+7MrtNcNKgNISqyGtYKi0qV8FqTJvBTEqEollxJL3duPDaO1ahWDZXoBNkOISqyOSdOoOy0lxd6WmzZAkuknx9uKIwtADdv4vqQJ491cQf2CIrUVFge+vVThIS/P/OQIYidcF6FSWyrVStcA69edd56rcFggEu5fHl39VzSXDSoDSEqsiLWCgu5TkWTJjB7EqGYzbff4v/Bg5WuffLIndsVBVsEGiNERTbmxAlM2DodMsJ69cJv2dubefny9Ms+fAgXabFizOfOqa97yxbrBYXBgNoQAwcqro2SJZG66u0NS4UzxYTMpk0QU1u2OH/dakybhuPcscNdW9RcNKgNISqyKtYKC7mkd968iNYmwp3MjBmcFhj1/PNYxtub09wn7k7FErgUISqyKQYDakoQIU6hRAlOi53699/My0sSUjWtDbSUJOaNGy2/fuwY3CxyPFfhwszDhqHa5ZEjcLG0aeNYvIQa58+7bt3muHIFN239+7tzq5qLBrUhREVWRk1YNGiAv82bc1pg5ujR+H/YMJTplSPCq1XD3U6ePLjLKFYs812OIMsiREU2IykJMVK7dkFMNGuGu3UvL7g2Mpal3rqVeelS69c/YQIyMMxx6RLcpxUq4HqSJw8m1927lRgJvR4FqOrUUS/1bQ9XrqAejyusH9bQpQuuk85u0W4ZzUWD2hCiIqtjrbBo0wZ/Q0IUYTFwIErbenmhT0jx4sg/r1ZN8YMOGqT1EQqcgBAV2YiHD2GJ9PZm/vprdBD19UX/jt9/zzyBL1uG1zt0sG4ClmMovv4683anT1esoMHBqOK7YYP5qpVLlrimHk5iIgr6lSzJHBPj/PVbw927iA9xL5qLBrUhREV2wFph0bEjXitdGvUriBBItXIlauQHBeGCkjev0sCMCHdB7glCEjiZ6dOnc8WKFblcuXJCVGQHTp5ESqZOh9+3jw9uAMwVXJo5E8u+8YZ15aozVspMSIDFsn17bMvbGynppsSLTHy8K3tfgAEDEIR65Ihrt2OKu3eZHz1y/3aB5qJBbQhRkV1QExYNG+Lvm2/CDVKnDgI2dTqU9l63DjneL72EfO+CBZX3yilgrjBhCtyCsFRkA1JTEa8g/7a9vJjLlsXjmTMzL//TT5wWkG1N2qYcZzVqFFI9+/VDbIZcUO/HH5kfPFDfx06dcINy44Y9R6nOkiXYp1mzXLN+S0gSrL41a2rldtFcNKgNISqyE+aERUREemHRty/cID4+CPLy8kKmyJYtMGnKbdXz51fS0oiYX30Vdy6CLIcQFVkYSYKJf/p0TsvqKFECaYwhIeaL192+DSFg7eR34ADanpcrh+0UKYJ+IGfPWr+f77+P/Vu3zrr32EP79syvvWb6uK5exWv16yNubNcuHFf//s5xkyxahHPz11+Or8s+NBcNakOIiuxGSgoCt4yFRVBQZmHRsydEhZcXfnze3vgx7tyJNsgFC2K5fPnweMAAWDIqV8adgiBLIURFFiUuDoXp6tVTYhnefx/PFS6cuehSYiJcIdbGMSQmwiLRrJlyE/LGGwjstNXlOX489m/OHNveZyspKaZLcScno4dJTAxenzUL17s2baxLn1Xjzh1cR994w/F12Y/mokFtCFGRHTEnLDK6Qnr1QgCXHFvh48PctSvz/v348RQtivdGROBiM2mS0vHwo4+0i7oW2IwQFVmQmzcRhKnTwYJYsKCSkfHkSeZ6Mno9Mr38/Jg3b7a87pMn4RYJDMTvuVQptBd/+tS+fU1JYW7aFK4TV/HZZ6iDoRVduuAmS7t4CmYPEA1qQ4iK7IopYWHKFfL220glDQpCN0BfX/hEjxxBwGaJElD6bdvitWbNlHW2aCFaqGcRhKjIYuzfr8QzyDUoJk2CdeL27czL37vHXKMGrIo7d5peZ3Q0rAhyA8LgYPwdMMCxfZUtGklJrrvRWLAA+2pN0zNXcfAgCm1pi+aiQW0IUZGdUXOFNGqEv//7HxR45crw2/r7Q0ScOIFmP+XKISdcbqP+5puKxaJOHa2PUmAFQlRkMVq14rT4iWnTkNotp3hndEskJuI3WrBg5oJXckvxd95B/IWXF24S5AaD9rYvlzl1CrUqzpxxbD1q2wgMxHVKC2JjPSn7TXPRoDaEqMjuWBIWOl16YVGgAFwgTZogfqJVK+bTp1HgpWRJRVTIfl25NPDkya6tlidwGCEqsgDJycwrVuC3KAdKHz2K36+3NwS/OZYtS9/3IiYG7oyaNTkt6PKrr5SMjJ9+sq85mDG3b8NFWq0aXC+uICYGAalVqtje0nz/fvNWG1vo0wdWWVusMI8eoQ5Qy5awIFWtimw7azvCmkdz0aA2hKjICdgiLGQrRvXqWKZ5cwQ5lS4N02uHDsp6hgxByW+5WufPP2t9pAIzCFHh4dy/z1yrFn5LPj6wLKSkQFQUKGA6RmLr1syWhtOn4c4IDcVvu107ZCrId9r79jlnf2NiMFkWLmx9yW97OH0alhB7Ai3z50c3ZkfYuxefiamUXXM8egT3snFhrLVrcRNWt66jqfmaiwa1IURFTsFaYdGrF4rp6HTMZcpgmRdeQBvlihXxQ5VNsURI1Ro2THnct691RXYEbkWICg/m4EHEQsg9Ow4ehJiQ72pNxS39/jtinF5+GXfwy5bhdypbOEaMYL52Lf175MJWe/Y4vs+dO0O4mOov4mzsaY3+33841u+/t3+7ycmwMNSpY5v7Y8gQfB4Z+fBDTgtytx/NRYPaEKIiJ2GtsHjrLVyYfHxwIQoNxWuXLjE/9xyqbX73HTqeenkxv/46xIS83lq1MvceEGiKEBUeyvr1SnxSaCiac8kB05MmmX7P1KlYvnt35pEjEfdEBLflkiWmTewZK2U6yr59sJS4iuPH4W59+NC+9//8M4732DH792HSJFzfjh617X1VqiB+JeP5ka0exYvbv08eIBrUhhAVOQ1zwiJXrszColgxpJqtWoULXv36CNisU4c5PBxFZeTeIU2a4K5AvkA66q8VOBUhKjyQf/7B74gIfSyiohR3Yt++psXBr7/i9cqVITyCgpAOfvKk+e04U1Bs3Oh6S2RMDAJPa9ZEEKo99OyJc2uPlUNm8WLmL7+0/X1duuB8Z7RWnD+P5/397d8nDxANakOIipxISorSYMyUxaJxY04r6V2iBJ4PCoKwqF0bAWGNGkGNr1qFIE4idEdcvx7LRUbCzLppk6hn4QEIUeFB3L6N8tre3vitfPghJs9OnfD7mzIl828mORlWiLp1Oa2uxOTJECKWSE6G4HeGoPjjD3ZLWuf//od01wsXbHvfH3/ASlqrFs5jnjzK4wMHXLOvpkhNNW2p3bJFEYQye/ZAANWvjyqkBgMCcgcOhFhs1AgBp8zMv/3GTDTr2djLRM3YA0RExiFERU5FTVjIFgtZWAQEwB0SGoogzqtXUbMiMBCBYE2bYvlChXAxeP55pbDWG2/YHrktcCpCVHgI69crv4tevZR4CUlCJcyM5a2fPIHVTy5S1awZ85o11vn4Hz/GX8czDtDS3M8PE6ArbxJ+/x3HuWCB/eu4cQPrmDDBvvevW4f6Pc5uSdCrF/Zr9mw8NhiU8/nhh6gLNHAg8/btynvefRc3baNHo/GjPBcTjWGix0zkxbbN4UJUCFyIOWGRKxdcGo0aKR0OS5VSiuWEhCCA6do1uFL8/XGh69cPrxcrhvgL+a5Kp4M6v3xZ6yPOsQhRoTGSlD7AuXp1PL93L/PSpZmXv3QJE0xgIH4/vr7M8+ZZv72xY5E1Ym9MgjHnzuFm48UXnSNQLDF3LhocOiJcFi7EOZbv8M0xfjyCW41Hkya4nkVEZH5NHp07275PFy7gpuyll5TnDhyAVYoZLRKI4F4yZvjw9EJEERUDnn2X8rNtc7gQFQIXY62weP11mGxDQ5FmWqAA3B3XrjG/8gp+MCtWwB1SrBiCkY4cQY8Ceb0hIa4tkiMwixAVGpKSkl5QtGuHuIE5cyAWXnpJmUQPHECpfC8vTGzh4fitWYqZyIizgzK/+gq/dTVXiyM40/ohu0/sqZ3z+ecQFba6XiyRnIw4tHr10pdB37VLqS1SpAjqAmXkpZdgqVDOjywqpjNRPBP5sB0TvyuHEBUC24RF+fJwcWzaBHNd2bL4YfToAR/xr7/C/FioEN67aBHz119zWnVAtdbJAqcyffp0rlixIpcrV06ICi3YtQv+cp0OY8IE3O0PGIDfxHvvIZ5i3Tq4DInwm5oxA7VhKle2rYW4swUFMyY0VwoKZqTAfvihc9YlF+qzlf/+g8hzdv+SPn1QBMtcl9SLF/GZZcz2SUnBjVj6SqKyqLjARJvZxgnfHUOICgGwVlj06IF6FQUK4Avv748f8dWr8EPqdDBhnjmjuEtGjGBevhxxGY0bw6LRrp3WjXlyFMJSoQGff85p7sLp05UUw0GDYNmbPh0ZBlWqYLn69WHpk+Mljh5FTIW1XL8Od4kzBIXBgBgAd3Qk3r4d142xYx1flxxPYc+6Zs3CTZMzYylGjYL72DhjJmN82U8/YZ+PHEn//L59eH7hQuNniYmqPrtOv8MeICIyDiEqBArWCAsvL+ZXX8UdVGQk3CG+vijXe/kyimER4YL54AHqXRAhzWrPHkRkBwXBalGwINLqBC5HiAo3Eh8Pc7ecPnjpEp6XxcLFi8xDh8JFSITf3K5dsAhMn87cvr3tpnvZPG5cqtsRRozA7//PP52zPnM8fAir5osvOqe/hhxPYdzN1FQ2DTPzuHGmYyrMxVLI45VXrNuXefNQGTVjWmvGKp89euAam3G5ceNwLNev4zHa2RMTjWeiRCaKePa4D3uAmJCHEBWC9FgrLLp3R7Bm7txoRiaLhIsXlQqbEyeiJG2lSljPH3/AV1m4MNYh9xHp2tWxfHKBKkJUuImnT5XqmEQIXk5KgnWuUiXcuebPj+/+a68pFSkNBqVGxdChtv0exo5FlpazfkNyR9DvvnPO+swhSRBQuXNnbuNuLwMH4lokB5RevgzLkCWiotC0zZn9izZuxHXQVGpw+/bpnytQAO0PMtKyJQLkZWC1IiY6z0TLWLFajGIPEBPyEKJCkBlzwiI8HD9YWVh064YKm5GRuDMrWRKC4fx53OkQMY8ZA59xt254z9dfw9xZo4YiKojwujmfo8BhhKhwE2fP4rfi54e6AgYD88cf4zvu5werXt++EN8yiYlK11A5G8Ba5BgKZxWb27VL2UdX15dJSkK8wZo1zlvnyJEQKcxocta9u7oLqX9/WFydVQX46FGsr3z5zKNIEVgvZORy4hk/9+RkuI979864dnqWSjqAibyY6Fcmys0eICbkIUSFwDSWLBaysPD2hpWhRg38kLduxQ8nIgIX12++wXs/+wzrk0t5+/oy//IL1u/lhfcHB6OK3ooVWh95tkSICheSmoo4hgkTUFVWbgV+7Rp+D0SIoXj/fcWUbczChRActsYvOFtQMKM52MCBrq+a6SrL5OPH6Cj66quw3pw/b3n5w4dxbfvhB+ftQ+XKynXT1DAOyNyzB+6fjH1aHjyABViuWTFiBKwpEBVvMNEOJlrORM3ZA4SE8RCiQmAea4VF584oqRsZiWh2IoiEkydR9Y+IefBgXEgGD1bWN2QI7lSImD/4AOsmwnOiCqdTEaLCRdy6BT+8TgcrnCShYuZXXyFAkwimbVN3wXK3SkmyvQvnunXOFRSPH7svcDouDumVq1e7Z3vmkCRcw6pWda7rw9k8eIAAXHzWmosGtSFEhcAyKSnMbdumFxbBwaaFRe3asFK8/TanBakdPoy2wbJ/OTVVsWDodLB0jBmDxwUKKNspV845hXsEzCxEhUtYtw6/A19fjDNnICxCQpDpNHRoejeHMYcPIwZp7Vr7tm0w2P/ejCQlIZ21QQP3iPkBAzBJnj7t+m1ZYtMmXGtc2RjNGYwahRsuiD7NRYPaEKJCoI45YREeDrNuo0b426kTqmjmyqUEnfn64gL6yy9431tvYX3Tp3Na5HtqKl739kZuvrydgADbcvQFZhGiwgXUrYvvd6FCsLTlzo3vMBHSE82xdi0miXr15Ih+6/n2W+bNmx3bb2MkCb9JP7/0GROuYvNmnB+Y8rVFktKXxPZE4uLwvRo4UH5Gc9GgNoSoEFiHLcKiXj08P2kS+obkysV86BDq+nt7I3gqORmFseS4jM6dUfwmOBh+aDnYrWBB5h07nJNuloMRosJJXLqEYEa5W+hzzyGbw8dHKfg2ebL5O/4ZM7DMK6/Y3g9HjqFwRj0HGdlq+PvvzlunOZ48QSB3y5baZ3vdvavt9q1F7gJ95Yr8jOaiQW0IUSGwHmuEha8vfMgNGyICessWmFUDAtDd8M8/sUzHjoh6X7UK4qFwYU5LL82fH2Jk40bFX12mDILIBHYhRIUTWLIEro169VDgLW9efDc7d4b4zZsXAtgcCQkI4hsyxHaR7IpKmZcvQ9Q7M9DTEtevM7durf3v+P59pP3OnavtfliDJGVsbaC5aFAbOmYmG7BpYUE2JDWVqFMnovXr8VinIwoKIvLxIYqLI6pXj+jQIaLWrYmioohOnCBasoSoRw+i2Fii774jqlyZqHNnohdfJPrzT6J9+4g6diQqWJDo+nWiChWwbFwc0dKlWFdSEpGvL9GvvxJ1767lGciSREdHU3h4OOn1egoLC9N6d7IWsbFEgwcT/fILvoOlShGdP0/Uvj3R2LFEVaoQffUV0TvvEBUpkvn9CQlET54QFS5MFBNDFBpq2/anTSMaNAjbGDXKGUekcPw4UfXq+B27Embrt8FMlJJClJyc/m9qauYhScowGPBXXkdGdDqMiROJ/v4b157ISCIvLyJvb/z18cHw9U3/v68vkZ8f/np5Oe+8WEKvJwoPz3QU7tm4/QhRIbAdNWFRty7R4cMQA3o90dGjRL//TtS7N9Hjx7hAduiAUbcu0V9/EZ0+TfTyy0T58xPFxxP17Uu0cSPRqVNEI0cSjR9P9PQptvfmm0QLFuBCILAKISoc4OWXibZsUSas+vWJvv6a6I8/iF55hahdO/PvvX8fgjklBb8JeyakixeJ1q0jGjrUvv3PyN27RIsWEX30kf0TZEoKftt6PVF0dPoRG4sRE4O/Dx8SbdhAVKMGfrMJCcpITMTfpCT8n5QEEeHJeHtDYPj5Efn7KyMgAH8DA/F/YKDyf1BQ5hEcjL8hIfg/JET5PziYqFUrohdeIJo61XjrQlQIsinWCIsjR4hatsTjw4eJli0j6t+f6MYNog8/xPvbtCGqWhUXnRs3sHx4ONHWrUR58hC1aAHLx/ffE61aRbR9O7axcSNeE1iFEBU2kpICAXz6NL6ncXFEBQoQzZoFS1r37kSXLxPNmwcrnCnOnCFq2xYT5dq1RHXq2LYPCxdCtDjz80pIwER1+zasiLlzw6L48KEyHj3CscsjKgqWlqgojKdPcT7M4eWFyTE0FJPjvXvYbqNGRBERymRrPOnKE7I85Elbtg7IQ7YeeHtj+Phge8ZDtojIlgkiWC4kCdakW7eIVq/G+w0GxcIh/29sCUlJST+Sk9MPWQjJosh4GAun+Hj8Hx+ffqjh44PPPzQUf0+eFKJCkI2xVlg0b44f3YEDMDl+8gnRuXP4YUdGQpGXKUO0eTMuXrJYWLgQ782fn+jOHaIxY3AR+vNPooMHibp1g+n2o4+E1UIFISps4MIFotdeg5XhyRN8zz//nGjECKKVKxU3x4oVcOWZYutWoq5diYoXh5WhWDHb9mHcOGxv3jxY+GwlORm/mdu38ffuXfy/fDlcjGXKwKrw8CEmUmN0Ovwuc+fGiIzEiIjAyJVLGWFhuAkIC1Mmv8BAZTKfOxfn66+/LFt03EFqKs5p48ZwXWkNM4RFXByGbOGJiyP6+GOIu48/Vqw+MTFEP/7o8aJCBGoKHMNc8GZYGII3GzZEvYqXX0alu8BA5g0bUP/e1xcdGjdsQNpUtWoIorp5E1UJ8+dXAuJCQ7H+995DXv3w4co269Y1Xw8ghyNan9uAJCE7w9cX32NfX5TYfvoUrycl4Xv5+uvqJeXXrEEn3uho2/dDLShTkpjv3WM+cIB56VL06Bg4EMHPNWuiEmPGKo7+/sjCIkJJ/ffeQ/2DmTNRxXbXLpSMfvjQeZlWly8jsLVvX+esL6fw77/4nH791dSrmgdiqg0hKgSOY0lY+Poi+8Pfn7lVK+aXXkImyLp1zM2bY/mICFwc8+dHW/Xbt1FFrkYNvPbXX8gCkZuQdeqE9LTWrZXt+fmhNoCoxGkSkf1hBa1aKd/hoCClHsTly0qn0cePzX/HUlMxEciv2/NdlAXFF1+gyua6dSgh/cEH+I1VrAhhbiwYQkORVdK6NfpKjBmDui+bNzOfOoXfSmoqMqtGjbJ9n+xl717cVNgjrJzNvHno+pkVrg8rV+LaZ7pUuuaiQW0I94fAOZhzhciBWbVrI9L8+efx3PbtMB///DPMw76+RFOmEE2YAP/qtm0wq7Zrh/f9+SfRsWOIvP/f/+D2+OsvmKP794cJV84e8fXV8kx4JML9YQZmuAU++QTBxEQIzFyyBOb8VavwfWvWDN9Bc8TGEr3xBr7L+/fD9WfNth88IDp7FuP8ebgA799HAKQcGOrvT1SyJFHp0vj+lyyJUaIE3Cu5clnOrJAkxBrI63NX9gKRbVkfruLpU7h7OnRABk9WwPx5E+4PQQ4iJQUmX0sWi4AAWCvatoV1Yc0aNP+R+4ocP44aFcWL4w4xLg53kP7+Sq+AVauQX1+0KBrxXLmCOgFeXsxTp6LQ1m+/ZY27EjchLBUmuHkTLjdfX5jpg4OZly3Da/HxKCdNhDoUsgvE3Hpq1MA61q0zvczjx8w7d6KSZL9+zI0bo1eO/Fvx9kZp+vbtUQTup59Q7fHGDccKRd27h94Wu3bZvw5bOXUK1kR39RJRQy6q56wupK5k0yZYac2juSVCbQhRIXAu1giLwEDEV8hxFatWMffsCVGwaBE6C5YpgwqF587Bl921Ky68v/6KC2XDhlh/SAhaDaek4OJBhPgMuZHTrVtanxGPQIgKIyQJLbLlktotWiCWQDbTSxLcbf7+iLGwJE6vXEHPmqJFmU+cwLKXLzMvX47Okm3aKIXd5PbnVasyv/Ya+oSsXKk02Tt0yLnHmZiI31uBAu4rOJWSwlyrFnOlSij2pTWXLuEa8/XXWu+JOk+e4Ho2YoSlpTQXDWpDiAqB87EkLPz8FGHRvDmCy3x9UWmzTx8sW78+gsnKl0fQ2cmTWOf//ofXZ87E3dvnnyt3eXLb6PnzIU7k3iGhobjr07ossMYIUfGMBw9gBSPC98Tfn/nsWbwmSZiImWFxOHnS8rokCZNWp05oa/7ii6guK3/vCxWCqPjsM+Y//kBlxIx+cldUypT3rXdvHN+BA85dtyW++w7n9eBB923TEmPGQNTZWhJdC8aNw+dluYS45qJBbQhRIXANGYWFlxeERWgohEX9+nB3NGsG87KPD+7u5NbpoaHMRYpAWOTODWuEcev08eOxna1bsV5fXwR7MqOBWUQEBIi/Py70UVEanQjPIMeLCoMBVrA8eRTR2aIF89WreP3xY/TjeOMN8+uIjUUZ7rFjmcuWVbIpiGCpeOUVvLZxI6xparhKUDArnYEXLHD+us1x8SKE/LBh7tumGpKUNfp8JCTAovTuu2pLai4a1IYQFQLXYa2waNpUcW8sW4ZIdyKIiqAgXMDDw3HHJUmIYCdi/vRTPE5IwGSg0yFeIzoaF/XatbHNFi2wP8OHKz1Hchg5WlTs2aPEL8ixD3PnKm6NXbvwXYuIgMVM5uFDuOaGDoXlTHaX+Pjgb6tW6DhqjYDISGIi1ukKQcGM9NBvv3XNus3x++/ITomNde92zSG7o7ICc+bg+nX+vNqSmosGtSFEhcC1mBIWISHphUVwMPMLL6B7qbc3TMXDhmH5atXwf6NGeJ8ccDZlCl5//33chRoMqB9ABAGydy9iMfr2xXMffIAaA3K6oGzVyCHkSFGRkIDYCR8fjDFjkFp5+7ayzMiR+E4+/zzcHX/+iZoPVaoo39lixSBax45FMGVwMAKM7UUO+nRFzMGdO9pO6qbTIN3PsWP47Nau1XpPrGP/friO1NFcNKgNISoErseSxcLfH10fQ0IgLHr0wOu//sr8ySdY/ttvUWyoenXEYmzdivXOnQt1/+ab2AYzgpzk7Xz6KYTF9OkQK4UKcVqMh1wEyJ67zCxIjhMVd+8yly6Nzz0oCG6PjC6wxEQI0SZNYNWSvxelSiG+Z9EiZBcx4463Xj1kJqnFWlhi7FiIFFe44+LiUPyqY0fnr9sSt25BnHlCYKZMu3awcMrXheyD5qJBbQhRIXAP1gqLJk1woZczQb74Ast/9pkS7Onvr6TuLV2Ku9COHZWL2q+/YjLR6VA4ixnpeZGRSotq2ZRdtizzkSOanBJ3kmNEhWwFOHMGcQ5EsIDJfvWrVxHDU6UKvk9E+D689hoKJMkiwhg5yO/sWbV0P8u4MoZCkmBNCQxEWra7kCRkWRUogOwFT+DAAZzn337Tek+sY/Jk5TqljuaiQW0IUSFwH9YIi9BQ5PD37AlRsGAB8+jRWL5fP0Ry+/lBSMj+7/XrESDWvLlSPnnbNoiUWrUwoaxdi0j9KlWwjbZt4VKpXh0Co0oVmCCzKdleVCQno/JkeDgsWX36IC1540ZkIowYobi/5MDK8eNhJjeXGZSUBPdanTqOm/VdKSiYMTERKVlQ7mLpUmzXOBZFa156CSmtzio37kr0eljSxoyx9h2aiwa1IUSFwL1YEhYBAYqwaNSI+e23ISzkErtEzEOGQHTodHjv779jvTt34n0NGih3TMeP4w5KrhPQrBlM1x074v3jxmHi6NRJ2Z9u3TznjsuJZGtRsWGDIhhatED/mDVrFBFKhO+Yjw/cINbcFd67B6uZry/zzz87tn+XLkEIu0pQXL4MYfzJJ65ZvzkePULKd5cu7t2uJQwG1KTIKrEUs2bhOmZ9PR3NRYPaEKJC4H7UhEXdunBzNGiAXHsiREdPnIj/P/wQbhG5Euf8+Vjv4cNwcTz3nBIrceWKkv5XoADuCr7/Xom9eOMNuEvCwxWfekAAeidkI7KtqPjlF05X8Kx0aQgHOcBy8GCkgbZsie+SNcd/6BCyQQoUYP7nH8f2T84+uHDBsfWosX27++/MZ87E7yorpGx6IpIES2mHDra8S3PRoDaEqBBoQ0oKKmpmzAoJCVGERXg4skPkDI7ZsyEIZItFaipEARHzhAlY76lTiJsoV475+nU89+ABTNghIfgBy/n7S5bAB123LvPp08p25HTWU6eQnppV0tIskK1ExcOHcHklJCD+RrZaESGQ8qOP4FefORNlj5ltSyNesAAWM+MsEXsYOxZ1V1z1/YmLY168WNvvpydVrN2+HdaarJIyfvgwvrPmSrubRnPRoDaEqBBoh7XCol49FIUhQtnkGTPw/8CBCLKUA+4GDcJ6L13C5FK0qJL3HROD9uu+vjBDy1Hhc+bARF64MH7khw7BTVKxIkzWFStCkOzerckpcpRs1fo8Lg6ZQHJKcsWKnOba6N8fMTGShM/8+efx2pdfWrfu5OT0acaOZg24OoZCkpjfegui2FRwqSuJi0MMhSeJbUlSKvF60n5ZIiaGeeFCWy1MmosGtSFEhUBbrBEWuXLhb//+WGbaNJTeloM3b95UfOft2+OicusWJp18+VAEhxkTR69eWG7yZLzP1xcFkapWxfbkQLeEBMX14uuLvx07IqsgC5KlLRWShEZxxiWw/fyQsbF+vSIAkpMRfOnvDzfI9u3Wrf/2bcTw+PgoJbsdwdWCghm+eCJYKtzNF1/g/N+44f5tm2P9epwP2TKVfdFcNKgNISoE2qMmLOrUQbXDOnVgnSCCG+SXX2D67t0bXSXr1VMsGJIEt0fNmhAlcmaHJCn1L4YPhwWiYkVsU77z/fJLBHwlJsJ8LcdaBAVhwsqCJb+zpKhITsbE9eWXmMTk70fp0ihulpG4OLi9PvrI+l4PO3cy58+PGib79jm+z6tWuV5QHDyI8/H++67bhjkuXMC2rbUAuQNJQpZXo0ZZx0qxYAHcrbb3JNJcNKgNISoEnoG1wqJWLbg5ZGvD4sVYtmdPmBFlwTBsGNwgT58iWyQ4GGmmMj/8oBTOio3FHW5AALqf6nSIaJcrE169qgiOQoUQ9R4Xh4vCqVOanC5byVKiIjkZgbTBwfhsAwI4LfBy+fL0E8eTJxCRspvLlgJMf/+NrImmTZ1XBC0lhXnFCuesyxxvvgkB7e7YAUlCafLixT2rQdfevfh+WGuZ8gRq1cL1znY0Fw1qQ4gKgedgSVgEBqLqYWQkrA9Dh2KZ775DWW9vb5jDU1KUYE5fX7SWjovDxdDfP32q2ZIlWKZVK/g3r1yBdWP1akxklSqlN/H++CNM8IUKwYIh95Po2pX533/dfrpsIUuIiqgoxAnIVomAAJjar15Fho9xnIPBgFTjPHmQKbR6tfXbke8Ok5LwmTqj6uLEiegx4g5SUiBs3c26dfhcbDnX7sKRKqfu5sgRnEfrC14Zo7loUBtCVAg8C2uFRY0acF8Qod7E8uXwiXfrhjvdqVOVdQwfDtHQpQvEh3GlvW3bEPRXu7ZSLVGS0B1Vp8N2d+5Ulr95E0W25HXnyqWIi9KlHU9BdBEeLyq2b1e6fgYG4txXrmzaPHz2rOLq6tnTtpTG06eRxnf0qPP2XY6hkDvnuopJk7T9fiUlQcB7kovh6VPP2h9r6NcP2WX2iVnNRYPaEKJC4HlYEhZBQRAAuXNDWMjujq+/hj/b1xctqJOSlJgLnQ41L6KjEaip0yHQU+bYMfjVy5aFtYIZIqR/fyWeYsAA5eJlMMD14uurtFgPCVF6i9SoAReNp3RrZA8VFZcu4bwOGwb3RbFiOH/588M9ldGVIQuMa9cgKuTmctYgSbBsBAaieuq5c845BncEZTKjmJdx6rS7efxYm+2q0b496tVkFRITYe0cNcreNWguGtSGEBUCz0RNWNSqBWFRvToah8kX9r/+gvm8fXv8gGXXSMWKsGAYDEprdeOugJcvo6xzgQLpeyecPq30kPj88/R3zsePY73+/vDLJyZC2EREYHkfH1zw3J3yZwKPERVJSWhv36IFzlFYmDJRvvUWxF58fPr3xMfDCmDcVtuWu9OYGMQhECEOxlnxALI1zNWC4vJlTESdOmlzV37+POJbPC2z4r//cP6zWqG6q1cd6SGjuWhQG0JUCDwXa4RFnjyooPn551hm5EiUbfb3R12KhATk1Pv6IiV07lxU5JSFyBdfKBfq+/exzrAwVGGUkSTU5tfpIB66d1cKa8XFKamuHTrA0hEZiWXlAEMiNETT0EyruaiQxcDFizgfpUpBwBGhNogpDAbk8RctCoH2wQdKwzBbuH2buWRJVE51JqdOIZbClSQmwjJXqpR9x+4okoReGiVKZBZ7WtO3LwrdZZViV8zOqHqquWhQGzpmJhuwaWGBwGFSU4k6dyb66y889vIiCgrC/8xE5csT3bxJVKAAUceORN98QzRiBNELL+Bx48ZEq1cT7dyJ9ZQqRXThAlGdOkRNmxJNmEA0aBDR1KlYd0wMUZcuRLt2Ef32G1HXrsq+rFlD1KMH9snLi+j994k+/ZQof36itWuJevcm8vcn+vlnouvXsc5Ll/BcUhK2V6YMkU5H9PbbRA0a4H83EB0dTeHh4aTX6yksLMwt26RHj4hWrSL64w+cj4sXiUaOxHlJSCBq2ZKoWzecv4cPiR4/JoqKItLrMXbuJLp9mygyEssQESUnE6Wk4DOQJHwHiHAevbyIvL2JfHyI/PyI4uOJ8uQhCgkhCgjA36Ag/A0NJQoLIwoPJ8qVCyMykigigih3bgxfX9PH9dtvRK+8onwPXcmFC0Rt2hAtXUpUq5brt5eRP//E72HtWqL27d2/fXPcu0dUvDjRmDFEn3yi9d5Yx/HjuCZt20ZUtqy9a3HPBcMBhKgQeD6pqcqFjci0sLh1CxNP585Eo0djsn/pJaJ27Yjq1YMo2b+fqEMHokqViO7fJ4qLg2iYO5eoVy+iOXMwISUnY9JfsoRo+nSIB5l//8U69XplUlu5kqh1a0yAb71FtGMHtj9qFNHWrZgYypSB2Dl9GhNecjIETseORAMGEJUu7dJT6FZR8eQJxNe2bThHefMSVaiACfvYMbweH5/5fWFh+FzDw/FZpqYSBQYSFSsGUeDvj3Pn64vPycsLYkKnw+cgSUQGA4Thxo1E588TNWqE8xwfjxEXRxQbi2Wio/E5JiaaPo7wcOx7vnzYn/z58Vlu3040dCjRG28QFS6MZby9XXc+U1NxvO4mLg6/lapVidatc//2LbF7N9E77xAdPAhBmBX48EMI0lu3HPk8hagQCJyCOWEhf39lYZEvH+5+R40i+ugjCIC2bYlq1sSF8cQJ3PlVroxl798nGjiQ6H//w93nb79h4pIkXAS+/57oyy8hVGSrwr17WPbECaz7p59wZ7t7Ny7AP/9M9MUXRLVrE/3+O1HJknjf6dMQOnfv4nFkJPZ/yxYsu3497sJbtiQKDnbq6XOZqJAkXNgXL8bxlSqFO7JTp5TPhoioYEGi557D3WXRokRFiuC5AgUwWZ86BSvTrl34PKZNs29/du8m6tkTYuGnn4hefVX9PcnJsJDI49EjWE0ePsR48ADfk3//xWcnixgZHx+IiyJFcGzFi0MIFS9OVKIEPn9brRrXrhENGUI0ezbOkRY8ekQ0fDi+/y4WvXbB7DZLn8NIEr4L7dsTzZjhyJo8/4Bt9JcIBNqRmqo0BDOOsQgOxqhRA5kDlSohG0QugrV3L9JGGzZEl8r9+xH4VreuEkQpZ3O0bq0E8kkSek0QMb/zTvoUsIQE1MUgQrxFUhJiBHLlQvzE+vXw44eFKaW/5XXu2qUU2fLyQgbL48foOSLX12jYEPEkixczJyXxrl27uF27dlywYEEmIl61apVNp86pMRVJSWjWVaYMYh2MP4+aNVHVkgiBlV98Ybkx17lzSp+OGjVQA8He2JPbtxGk26SJEvPiLIyzPFJTme/cQb2BNWvQi+azz5De+sIL+NyNzwsRysXXr48GaF9+iYqKe/cijifj8SYl4btZokSWrN7qcvbs8awS4dawbx++B8bp6fahecyE2hCiQpC1sEZYFCiACU2eCAYPRtdKWUhERaFOQWQkskcePmTu0QPr8vVFBU7jyXfBAmSQdOqUPlhNDuAkwmRx+TJETEgIJreePRHUaS7r4NEjpJ4GBio1GsLDUT20dm2l82ZQED8tVYqvFinCZ7p14+eJeN3ChTadNrtEhSQh8HTFCgTCtmqF40lNhVjy88NkmT8/BNLPP+N9V69a7l6ZnKz0Y3nwACJgzRr7xcSVK4rg27PHNS3AR4+2LcsjNRUT3+7dzIsW4f29euG7JaceyyMsDAHCr72GbbRpA1FiS8qss/niC2ROeRopKRBbb7yh9Z7YxqhR+J3kgEBNISoEWQ9zwiIoSBEWBQsyV6iAdEUiZA4cOaKU+n78GFX48uVDkaUbN5QMEm9vNBgzrlq4bh0m/yZNMt89Ll2KTI8GDVDuOSoK2+3eHRPlnDnIRqlUyXRZ75s3kU6p0yFNtnRpHFPVqujzMH68kilhPHr0QIbElSu4+505EymtBw5gnTLx8ax//Bii4ulTWFnki9v165j4VqxAcaUPPkAhMWbmjRuVbeXPD7EzejRee+UV5Q68Rw8co1oRqkePUKisUCF8Do5G7cvnNjgYliZX4KpKjXFxWPfKlfiu9OmD75Zx0zSdDhNo69YQq3Pnwsrm6iyQ06fx/Zs61bXbsYclS3Bujh3Tek9sQ5LS/ybtR3PRoDaEqBBkTSxZLEJCYIEoVAjC4rvvsMz77+NiJNe3ePgQ1RkLFYLJ/uZNmCcLFoSwqFQpvel+3z5YN6pUyXwnfugQJv5ixTJPRHv2YPv+/rgDnTLF9F350aMwnxMxt2yplPG9cQP78+w4nxKxQX5coABS/iIjFcsGERtKl2a9Xs96vZ4NERGsRzwU6+XzlScP3Bd58yrn0McH5+a111CT4N13ka4rVwwlYt6yBft04gSO0xrrQnIy1hUYiHPgjJ4pN2/CckKECTkmxrH1mWLsWEzsxnVLXM28eRBs+/ahNPnHH8MNVrq0UoiNCGm2bdrg9UWL8Hk4K7WyTRuksCYlOWd9zkJuHNa8udZ7YhvOtZxpLhrUhhAVgqyLNcKicGEIhokTcVHu1w8X4Lx5YQm4fx+VHYsVgy/86lVU3lyxAqV0S5RI3xHzv/9wQS9ePHNVxhs3MAmHhMCyIWMwoBx4ly7KxF++vOk7TknC3avslx8yBJaP6Gjsx6xZPJ2I79asCbEydGh6/31ICHPZsry2TRsmIm5LxFufDSJifalScAF98gn6l+TPj7tjub27qRESAoHVvTssDatXo1ulpYvl3bvMs2croqNzZ8S52F/0R+HKFaUHy4YNjq/PFO6qlGkKc0ItPh6iePFi1Flp1w7fT2NRWKUKXHHffsu8ebPtjdK2bcO6li1z/DiczY4d2DdPK8KlxpAhuE45B81Fg9oQokKQtbEkLEJDMckXKYIS3JMnQ1jId8oFCmCyvHsXAZulS0MwXLiAdV+9Cn+3TocJUb7Y37yJ9+XODfeEMTEx2B8vLzQ2yzhBPHgAf3BAALa3ahWKcR04kH7ZhAS4PYKDYVX4+ee0STxToObhw1j2hRfgAiJiQ6lSnDB6NMd/8w2n1qjBTypUgKgoVw4TkrwvPXogCPWrr3BnvH07Jq+rV+HTX7gQ/uDXX4f7IzRUOddyL5Y+fZinTYMVY+FCTHbe3oi5kLuHOgNZhEkSzu2TJ85btzFaCIoJEyAQ7Ykr0evRE2TWLBRia9AA3xv5cypQAIXgPv8cYvnyZfPbef11BJR6Yj+Ns2dhmfHEfTOHwYAbmw8+cNYaNRcNakOICkHWx5SwCA3NLCzKlIGfWKdj7t0bVodChWA1uH0bLo0KFeD+OHMG6z53TgmibNBA6Q3y+DEyNIKCEHuQcX/kZmf9+8P8n5FLl2DK9fFRJupixeA7N252dfu2UmK6Vi3m/fstZ38kJyPzpEcPuBq8vJjbtGH94sXOyf6QJJynLVsg0l59FRYhY0tHYCDO1dSpcJE4av6VJJRijohI32XWFcTH427fnYLi0CF8D2Sx5wwMBlQvXbECbeTbtMH3Wv6MIiLgRvj4Y1glZKGRkoLMFoFz+OcfnO/du521Rs1Fg9oQokKQPbAUvCkLi6JFYR344Qe83qsXRINsybh5E+biqlXhHpHbmT96hNflxmHyxBwXh7tyHx/TJaDnzMFrLVuaTg1MTERmChGC9Hr3hjvinXfw+r17zNOnYx/37EEAKhHPJeL1Cxaon5OoKLgg6tZVYioGD4agsZfoaJifP/sMTb10OgR7JiXheMePR/xE9epKHEhoKM7BV1/BvG5L743z51EanQji6uFD+/ddDTkuw1m9QazdZtmysPi4I4bh7l2Izq+/RjaT3NeGCOK5VSuIkNWrPUtcLFoEt09WY/BgiDlT3XbtQ3PRoDaEqBBkH9SERbVqirCYNg2vv/km3B3FiiE47do1iIiaNRGgeOQI1q3XMzdqhLv/rVshCI4ehWXg7bexvSlTMu/Ttm24WFesiLtBU6xahWVKlECAnmzW37gxzQJgKFyYo5o358etWvFjIk4IDOSbn37K12XLiQr6ffsgKuTsghYt0BPFUvvl5GRkAsgBo5KEbA8566NbN7g7oqNNvz82FoGv48Yxt22bvtFaw4YQJlu2mJ/Ed+zA+S5VSgkQdRVjx2JyN3csrqJvX3w/nekmspX795n/9z+IwJYtIWyNA0K7dEGMxs6d2nTeNRgQY9Srl/u37SiVKjnT9cHsAaJBbQhRIchemHOFGAsLWUDMmIEL6Wuv4e69ZEkEYF6+jLv8evUQU7FvH9YdF4f0Pj8/WBO8vHAnEhWltGA35fM9dw6ulzx50gd9GnP1KgIofX3Tx2LExjJv3MjXX32VtxPxr0Scm4h/IWKJiON9fXHHOXYs82+/KXe70dHp7nzT6lTcuwch0KAB9rdgQbhotm/Hgvfu4XxUraq4NLy9lcyCTZtwPPb4tQ0GxLLMmIGgT1mg+PqiANaYMTjXsviSu5O62nKgVVBmairiUebMce92MxIVhcDXAQPwWJJgfVqxgvmjjxCrI8doeHvDCvXee6jfcv6862MctmzBts39djyZxERnt43XXDSoDSEqBNkPS8IiLAwTZvHiEBEzZyotyq9exeRfpAj80dHRcEuEhCiFiJKSmLt2xcX19dexznz5kAo4eTK29/bbmS0Ajx5h4vTzw+RviqQkBOsRIa3QUjXFR49QXEuO95DjJ+Tt1q+vTNgREax/VolTr9crYso4w0Onw/r27EGBpvfew3K7dqWv1+FMJAmWkGnT0EHWOAi0dWu0QXd2ZcyMaCUoPCnYcNQoBA5bqjOSmor4mJ9/hpuuUiXls8qdG27AceNgzXC2COzWDdvzpHNmDZasgPajuWhQG0JUCLIn5oRFYKAiLEqUwJg9G8Kia1e4P8qXRwDnuXOwFDRvjvdt3Yp1p6TAXKzTIWr/9dexjb//RmyFjw8ushkvromJMOES4UJu7iK5ahXuHEuWVNwvlo5z+nQcU+7cyOCQJOzLwoUQBhMmsP6TTxRRcfIkMgXmzYNrY8cO7I+cntiwIQpgueaimJn4eFgpAgLgcnrlFbiaZOFTqRIyZLZvNx30ai9nz2IbWgiKLl1QNE1rZCvFkCH2vXfTJnx3WrbEd1B2b9Wpg3UuX+5YbMaDBxDGnliIyxKyy+ann5y9Zs1Fg9oQokKQfUlNxR2wJWEhuzx++gkXr86dcXdcqRJS8c6cwaTXpg2sAXL9CYMBJbaJUANDLgQlSfCTBwZics5o+pQk3NERwc2QkGB6369cQfCenx+Egdpd2t27irh5/nlkthhhVZnu1FQIGrkAV/HiiBNxRr8QS/Tvj3P/0UfptxUVhUnpf/9TKoqGheHOddEixywo8vmUs3zcyU8/4VgyZg1pwaNH8Pk7IyhTtmbMmoVYJeMaGqVLw4I3b55tLpPERFj2XGUtcxVywTvnu2w0Fw1qQ4gKQfbGkrAID0f6YKlSiLOYMweTeMeOyASRs0BOncLFrVMnTH5//ol1SxIi5YmYR45U0i3z5sVyAQFIUTVVnnfZMrzesKH5glCJibjgE8E9Y00Q4d9/I+DQ1xf79qxXic29P44ehTvExwcT+UcfWe7nYStbtyqFq27cUA9UNBhgtRk9GnfB8mfZpAncTrZktIwdC8uHFub0q1fhTpMzfLI7t2/DIvPBB4jFkKuC5s8Py+CPPyLLynnZEZ7BBx+gPoXzj0tz0aA2hKgQZH/UhEXlykrhq7lzISzat8ckWr063AonTsD0/uqrMJkbN1uSO5kOGYKJKjoak19QEC6iuXLB1J6RAwdwcS1ZMpNlIR3LlmF/y5VT0lwtkZAAk7SfH45ryxb7u5TeuoUgVLnqZq9eiIOwlyNHkHlChGBNe7lzByKwXTtYkIggEL/8ElUnzQkGLStlGgzML74IAetq6481TJ8OK5g7efoUYvKzzxC74+fHaems7duj/8yRI/jN7tmD35ure504G0mC+3TwYFesXXPRoDaEqBDkDNSERaVKmICLFIGJ1t8faZC3b6PoVGQk7t5TU9H8y8sL0e8yM2divX36KMWeHjzAHWn+/BAmf/+d2dpw7Romw/BwvG6OCxdQayMgAIWgrOHcubQaD/ru3R0rfhUdDYtAkSI4znbtbDPtPnyoNCGrWBFuFmdZCmJiUNr8zTeVwNWSJVGAbP9+5W5RS0HBDBN+gwaWP2d3odcjxXfQIG33Iz4eMT2jRzM3a4bfo+zmKlxYqVrris6zruLyZVwfNm92xdo1Fw1qQ4gKQc7BGotFmTK4mP3yCybw1q0Rr1C3LiasQ4cwSb3zDtZhHIi1aBGsGN27py9kJFff9PWF6XvkyPQ+Yr0e2/HxsZxeGB8P0UKECHzjNuzmkCTm+fNZHxEBUTFzpmOTeVISxJQc/d+4Me48Ta1TkpSYhZQUHOP8+a4NAE1OxsW8Xz8lZbVIEcTEyAGyWuIpGQzffAPhbNwwzxNISoJYHTECv085rTk8HJaMKVPQ4M3T3SVRUa4qZqa5aFAbQlQIchaWhEWuXJgsy5aF+XL+fDz/0ksQFg0aKHUrJEmJd/jhB2X9f/6JC2Hbtukn/bg4mP3lC2VwMNwlcspkSgq6qMq1LixdNBcswH5Vq6b0KVFBf/kyp3Upbd7csaqazNi/1atRy4MI1T6XL8f5TU7G/40awf1j5T46ndRUpDgOGKAEehYpglLoBw+6b4JPTUWQ4qFD7tmeGrKVYuBArffEPD/+CJF94wbcIF9/DUtGQAA+x8hIZNDMmGF/3RRX4dp90Vw0qA0hKgQ5DzVhUbEi4hcKFlQm8BYtUBhKrluxZw8uHh9/jHV8+62y/k2b8J6mTdO7O5KTlZRSuV25XFjr9m0Ii++/x0TcubPlfP+TJ7GPoaEoUqRCWkzFypWIyg8IQDqso1YDSUKqZ/PmnFZpU3ZBNGmCbBktL/iTJ6PhWmoqam4MGKBYMEqWhG8/Y6t6ZyN/pnKtE62ZPRuxDM4MvHU2tWvDXZaRhAQIxZEjYSWTO/QWLozA4gULtD2u5GR8r8z15nEczUWD2hCiQpAzsSQsIiIgLMqXh7BYtAhBl82aoaRx06awNOzciQlz5EisY/RoZQLdswdWjXr10qeVGgsRY4tEnTqY7L/6Chf94GBcWC2l+un1SK8kQtEsEzUcpk+fzhUrVuRy5copMRWxsbhb9/KChcG4gZmtJCUxr1kDc++BA7igyuWd5851bl0JW5FjKIwFHzM++23b4MKSS4dXrgyXgJVlz63m+nV8lnK1Sk9AklwvpBzl9m3rLFwxMXC/DR+e1huHiZB19cEH+G66M9BTTiU9fNhVW9BcNKgNISoEORc1YVGhAkaBAmhmFBwMQfHgASwXgYFK0J08gX32mSIsjhxBoFm1arByGDNpEpbv2xfWgoMHYSIPCVEmufz5MTlbmgAkCe4XHx+4G8zcpZnM/jh8GPvm7Q2BY02MBjOE0J49qLoZGYn9NS7kdPw4TNNEEEo//eSeZlnGWBuUmZSEAmCvvZbWNp4bNoRZ3dHmZZIEN1jhwp6R7cHs/t4m7ubhQ3wX33lHEbje3nBdjhqFeA1XCt1Ro3DtcF1gqeaiQW0IUSHI2VgSFpGRsFhUrIgJ/tdfMek3aQJh0bo13AibNmFdU6YoVgNZWJw+DWtHuXLwDxuzcCEueJ06KUWw4uJwUXz1VcQ9VK8OU/Ubb8ASYO5itW8f4gXy5cNdeAbMppQmJ2MC9vdHLMnOnabX//ix0v/jjTdwnMWKoV33qVOm33PqFIJWdTosO3u2e8SFXC7d1iyPmBh8xi+/jM/FxwdVWZctM1+kzBK3b0OQus4UbhsGA77LWgerqtGxo/UZTmpcvgxR27Wr4pYLC8M2pk9HOX5n0rAhBLXr0Fw0qA0hKgSC1FRM7BmFRUCAYrGoWBET9q+/4rVGjSAs2rbFpL9+PdY1YwbW0b+/4tq4dAnVKYsXz3wRW7cOAuaFF0ybaWNilDROIjQl69BBWY9xvIJsQfHyQtVOo2BP1ToVZ8/imIhggfj3X1Qy/OADuGG8vJRjPHgQd3zWRuCfOcPco4ciLlxtuTh8OLPLw1bu30ewoFxoKzwcLd3/+ce2GBEtunqaY+NGHMvu3VrviXmuXsU+GteBcRapqfjufvMNqs7K8RilSuH3umqVYxal6GiI0dmznbbLJtBcNKgNISoEAubMwsLbO72wKF8emSF582KyDQuDSfXhQ9z1+PrCf8uMWAKdDmmfsmXh5k2so0CBzHf2//yDu6jnnjMdQ5GaCp88ERqFNWumuFN69YKFoW1bZJNMn64s26YNBE1yMusfP4aokOM7UlMhHLZvh2Vk7FjU3/jhB1hj5KJEZcsiAO7nnzHROsKZM7DA6HRwi8yb51xT9NKlijXFmZw7hxTHokU5reT0mDGoMWKOOXM8LxCyVSvmmjU9K1MiIxMn4jfnDjdNdDR+swMGIJVc7lvSpAl+D0eP2p66evmys7uSZkRz0aA2hKgQCGQsCYvISLgwKleGsPjjD9y91q8PYdGlCy5IK1diXYsX4+7+9deVDIv79yEcIiMzB3KdOoU01lKlzKd7/vAD1tmpk3IHvGIF3C3t2mH/fHxwp7R+vdKu+lkqKRGxvn59vC8xUTlOIgin+vWROnvtmmK1eOst518kT52COVqeoBctctwHLcdQ/P67c/bRFAYDRNhbbynxF82aYf+NM3XkYD13V6u0xJkz2KdFi7TeE8vUq4fvtxZcvoy+JR07KrFN+fPj8/79d8djbJyD5qJBbQhRIRAYY0lY5M6NibtKFbgh/vgDFoa6deF6kEt4y0GLy5Zhku/SRTH3P3mCyTs0NLMZ+to1rD9fPpSaNsVffymZIaZaVaekKP7/vXshUnx9Wd+zJ0SFcfrpwYNwo5hqsS5J8GuHh7suLuDECaWTbMWKqG1hT1EjWVCMHu38fTRHdDTqmDyrWMqhoQgO3LMHwrNePc+qArlsGSxl7g6YtYWbN3Euf/tN6z3BedqxAyXqn3sO+6XT4XP96iulCJ4x7du7xm2THs1Fg9oQokIgyIi1wiJ3blxEIiIwyT94gCBGLy/lwrhmjdJLRJ7sY2KUksRykKfMgwfw44eG4qJmimPHYNUoVsx8kKRMQgJz376KpcJWF8bt29h3Iogmc83PHOHgQZjmiRCYun699SZ6LQRFRi5fRs8R2T1CBFeUo+4iZ+PpVSglCUIzJkbrPcnM7dsQ2d26QWgTwWLZsyesGCdPcqYsKNeguWhQG0JUCASmMCcs/P0hJsqWRRfT3LmZlyzB35o1Mem+/TaExcKFWNfGjRAkL72kmMkTEuCy8PVVXCYyMTHMLVtCjGR8TebmTdxBhYVZ1WNAP306REX16giGswVJQoBqZCQsNMuW2fZ+a9mzB/5sOa3TXCaK8X4NH66toDAmNhYTTqlS+OxkK9WGDdpaLfbvh4VM4BxSUmBl/Oyz9FYMIsTenDjhyrgVzUWD2hCiQiAwh7msEGNhUa0aJtslSzDhVq8OYdG3Ly408+ZhXdu2wQ/ftKlyJ2bc9TSjrzsxEa95eSFI0hTR0QjG9PY2v8wz0rI/ihXD/m7caPv5uHcPlT6JcMfmijtxSYL1plYtTqs8euRI5uXkrq+eFnR49iw+/0ePEANTtSqnpd9+9ZVSlt1dJCUhpfm999y7XVu5eRPFq9Qsb57IrVtwi4SHK3FMRYogW2jNGmdnAGkuGtSGEBUCgSUsCYs8eRA1Xr06XCBLl8IkKhe76t8f75FTzPbsUdJR5fTR1FSlSdjMmZm3LWdyjB1regK1smdImqi4ehVCRKfDHb6tJnFJUiwzrrRaSBKCUCtUUETM+fN47ZtvIKTkZmWewK1bpjNPJAnunb59MeHodDj/q1e7trGazKpVOH///uv6bTnC99/DupPV2pwz4zMuUAC/v8RE5q1b4f4qWxbn3t8ftU9mzLCcMWQdmosGtSFEhUCghiVXiCwsatRQhEW+fIi5uHcPraWJmKdNw7oOHEBwZ506iklaknARMlVSWpIw+RMxDx5sWgRIEgpv6XTIqjBRGTNdnQqDAevU6ZCKao9p/N49pWpmt26uibVgxsQ7bx7iFby9EbtiT2ErVyJJEIodO1peLjoaFiX5GAoVQiyGK60XHTrA6uPpNG4Md2BWRJLgYjJVSOv8efw2mzVT6mJUrQrXyb599rjFNBcNakOICoHAGiwJi7x5kRpZowYEw7JluHOpVAkZGh9+iPdMmYJ1HT2KO/3q1ZU0NUnCBCP7ZTNaJWbOhAh4/XXzEfyrViH4s379TK4Jk8WvNmyAECpVCn5gW5EkBKrmzo1zYEVjM7tJSMDdnlxL4JNPTGetaMFvv2G/5JLt1nDsGFwSoaGKuPvrL+fGXty7h++pLGg9lagoy26+7MLTp7jp6NkTvxk52PN//0N3Y+sCVDUXDWpDiAqBwFrMCQs/P0VY1KwJ3+ry5fBlV6yIglaffpreEnHyJCwalSunTw397jssN2hQZqvEsmUI7Gzd2ryf9vBh5NaXLKnEHbCFipqXL0PcBAbaX8Pg3j10lCRCD41Hj+xbjyViYmBO/vRTiK6gIAiiSZPsK6HtLBITUSnV3toKMTEolFWzJs5f0aIorGWpkZy1nD8P64krPg9nIrtonN3MzV3Mnm27cEtNRcr3xx/jGmHsJpk5EzEmptFcNKgNISoEAltITVUmUFPColQpmJvDwiACChVCfYBbt5i/+ILT4iOYMekXKoQUVePqi7NmZa7IKbN1Kwrz1KtnfrK4dg1iJVeutLRUi2W64+OVluwDBthXy0CScMceEQFRI1cXdQayO8e4yuKdO7jT9/bGRLxggTYZFt9/j7tsIwFnN4cPI74mMBDWmK5dUWzL04JRnU1CAuKNsioNG8KC6AgXL8KS+eKL+E4T4ToyZgziYZTvgOaiQW0IUSEQ2IqasChdGjETsrAoUgR32bduKfERchrkpUvIDChVKn0Q1+LFWG/37pkn+cOHEctRsaL5O5qnT9EHxNeXedEi9d4fkgQx4+uLi+Tt2/adm9u3YcqXq3E66qIYOxbxKeYsM+fOKbEd1aohc8Sdk/CaNc6P74iKQuaIHKRaoQIe2xLEePYs9s2TCnBlR1JTYTWbNMl563zyBAK9e3dcV4hQ1n7QIGYPEA1qQ4gKgcAeLAmLfPkgEuQiVsuW4W66TBmIALlg0xdfYAK8dg3LFyuWPtjrzz+xvnbtMpv4z53D8kWLmr9LTk7mMw0aMBPxd5GRlkWFzP79aNWdP7/9jafkapxhYViXFXU0TGJLYat9+xDsRwQxZa4iaVZCkmCp6NYNlovgYOZ+/eA6U2PAALjf3JFh4gh37sCdJ2f2ZDXk8ufbt7tm/YmJ+P28/z5uTjxANKgNISoEAntRExYlS6KEd2goYiyKF4d4uH5diZ345BNMHrduwQ1SqFB6kbBpE8zhzZplDuS6dQtujty5kbZoCkliHjtWqahpTf+Ce/fQNdXHB+Z9e+/8r1/HBE+E9FpbKiXaUylTkpCqWaEC3Ec9e2ZuN+8s7t9H51Xzvm/ncvs2WpYXLIjz0qQJgv5MNWRLSIAb6pNP3LNvjrB4MY7HVdlDrkbef3cEDeN3qLloUBtCVAgEjmBJWMgBk/XqIQ5i+XKYMUuWhHViyhS8Z9gwXDDu3oVIyJcvfRGg3buxzvr1M6d/Pn6MbqnBwcxbtpjdTf3cuRAVjRtbl0KakoL9IoK/2Lhhli0YDMjPDwqCoLLGd37ypFJHwx5SUuDKyZcPlUw//dT59Q8GDUJArms7UmYmORli4vnnOS0tdcyY9MG+S5fiNWfEebiat99GVcqsyvHjzOPHu3OLmosGtSFEhUDgKGrCokQJZeJfsQKTa4kSKJc9bRqnZXtIElJMq1eH9eHoUWUbhw+jEmb16pkrWcbFoaCSr6/Z3gNpMRUREbiTtzbS/o8/IAiqVUOmiL1cvIhaDjod80cfqWds2JPimpHoaLiYAgMR6zJjhnNard+8ic9WDrjVin//RdXGwEB89q+/jjoonTrBQubpSBJM+sOGab0nWQnNRYPaEKJCIHAGtgiL5csRzFmsGCbq2bM5zUVgMMCSUKcOsjcOHFC2ceoU6l9UqJDZ7J6czPzmm5i0M1bmZCNRcfQotp0vn3mXSUZOnsR7cuVCbQtHztG33+KcVK6cOe5h7FjXFLW6dQt3xDodMnHWrHEsmHPwYLgXjLNRtOTJE+bJkyFWieBmszeLx52cP4/9Xb9e6z2xD4OB+aef0mduuR7NRYPaEKJCIHAWasKieHFkVgQHI3izbFkEWl66xDx3Lia9vn1xsdLrcWcfGpreZXDxIsRIiRKZLQcGg1KZc/TodBNnuuyPBw8gcAIDEQxqDVFRyOrQ6WBud6Tj5cmTMHn7+DB//TXcFXIMhSsrZR4/jtgUIqTuHT9u+zri4yGuRo1y8s45gdRUFNBq2RLHWKAAzqexa8STiI6GZc0Tu5JagyyKLLgdXYDmokFtCFEhEDgTS8KiQAEIi0aN4FJYvhzBmYULM1+4gFoLOh3uqlNTcbFt2hTLbtumbOP6dQiSggUz9794FpjJRMwDB6ZN/plSSuPjkVWg0zFPnWrdsRkMmKSIUFTJkTiFpCQUsfLyUlqGu6P0tiRh4pWDOXv3tj199tYtz6nmmZGlS2EBOnMGlq+gIHz3evY03Zgtp/DkCTKEnPm5/fEHvrfWBD87D81Fg9oQokIgcDZqwqJYMUTvBwZCWFSogIC7c+eQn+7lBVdGSgriJV56CQGHmzYp27h7Fz0E8uRJH3sh89NPWE+PHsxJSabrVBgMqOgnx3RYW9Pgr7+QLlquHPN//zl2rmSR4uPDPH26+2pMJCdje7lzw3I0Zox6MGpsrMm+Kh5DSgqO5/PPleeiolBDoXhxnOfGjfGd0zrVNDUV8SD2WIts5ckT9NpYvpy5VSvEMTnDNfTRR/gtuxfNRYPaEKJCIHAFtgqLSpXw/NmzuNv09oYgSElBUGO7dnjv2rXKNh4/RkBeWBjzP/9k3ocVK/CeVq1Yf+eO+ToVs2ZBgHToYH2b5gsXsM8hIcwrV9p3jpgxkc+Zo3Rafekl9/qoo6KYhw9HoGORIsy//mretTN2LD43T41V2LkT59BUrExKCj4nOWukeHGIDa26gp48if14VvHV5ciC+ckTWPB++AGC+Nw5+9fZrBl+4+5Fc9GgNoSoEAhchTXC4oUXYIVYtgzBi/nzw3S9YgXu3rt0wV11UhJz5854zrhxV3Q0JoqgIJTwzsi2bcwhIayvVcty8asNG3DHXru29T74mBiUkibC3bEt1RunTk2fNssMS0zBggiCXLLE+nU5g4sXlc+qXj2Yyo1JSEAGyXvvuXe/bGHIEFi81OJdjh6FO8TXF6Lwgw9Md9h0JQsX4lyrFWNzBrL1S/5+bt8Oi8WoUfjd2cuAAVo0QdNcNKgNISoEAleSmgoxkFFY+PpiAi1aNL2wqFpVqVOxejWW69QJoiIlBQ27vL3hJpGJi0NVwoyWDJkjR1gvV9S05K44dgyTUvHimWM1zCFJyOjw8sI+WFMDQ475mDgx82uPHqE8sdyczJ627I6wYwe6zcr1OeTiWYsW4TlH7mxdiSSh/kn//ta/584dpNzmyYP4kk6dmHftco8LavBgVJjVEmekF7sfzUWD2hCiQiBwNZaERaFCEBZNm6JL4bJlyIzIkwcm4nXrlFLdiYlYl5we+csvyjYSExVLxh9/ZNoF/dGjEBVFilieGG/cQK+N8HDbSg9v3qy0Uf/3X/PLWZPlITcnCw+HS8KWluLOIDUV2Tj58sE9NWoULDgtWrh3P2whIQHxMXv32v7e+HjcccvdMmvVwvl35aT7/PMIFNYCZ4imhw/xW3F/szfNRYPaEKJCIHAHasKiSBGkOcrCokYNBN2dOAG3QEAALAEJCTBv9+uH9cyerWwjJQVmbZ0Ok6IRaYGa5ctDsBw+bH5fnz5FWuKzZmRWc/kyBFFQkGn3xcSJ6oLCmBs3cE6ImIcOdX+Lc70epa79/HAuhg7N3h1DDQbmjRuVlNTChWGFckWmy88/I+DX1cifV3w8flfOqjI6cSJ+v0JUCFEhEGiGNcKiWTMIi6VLcccYGQm3xNatuGtu2RLuDkmCCZkI/TlkDAaYwDM8nyYqrl5Fue+QEMsWgORk5v/9j03VvLBIXBzcBkSIjjfOMtizx/aSxgYDypn7+yPmxB3ZAhm5fFmJt2jY0LIg04rVq50bF3HyJCxictzFkCGoAJuVMP7uvfcejuXXX52z7gEDYNFzP5qLBrUhRIVA4E7UhEXhwjCz+/nhbr9OHbgVjhyBvz8oCHfvsbGY6OWU0G+/VbYhSZjQiZi/+YZZktKnlMbGIlDNzw+ZJ+aQJBSnIoLAsNYcLkmo8OjlhWNZuNDxFMZTp1Aq3NcXx+qult6PHyNoU5IgwqpUgSXof//znKJSKSn4Do0b5/x137mDINyICHxXX33VcVF1+jREkKvu8uPj03/fFi+GW3DYMKVxmaPbbtsWLkn3o7loUBtCVAgE7saUsAgLw4RZuDBGy5aY9P/4A9kIuXIxHzqE5mIhIfBJR0fj4jhyZGaLgpEg+Dl3bi5Xtmz67I+kJKSs6nSoaWGJxYuxby1a2JaCuG0bRBAR0hcdJTERYkmnQ3DrtWuOr1ONqVNx7I8e4XFKCnqIREZiIv/uO+1TTA8fxjm2J57CWmJjUd9BLgX+wguI97Gnsurnn0NAu4qTJxF0OmoU8++/o8R88+bO7YRauTJSU92P5qJBbQhRIRBogTmLhY8PREWhQkpcwx9/wGURHo5eIP/8g2UbNVJS8saN47TUTuO7sKlTmYlY37ev6eJXAwbgfWPHWr57274d269a1fp24nJQZsGCcN38/ruNJ8kMO3YguDUsDOZsV/q1a9fGBJWRx48xqXh7o7qplv0rJk9GzI07xE1qKlKa69XDZ1uxIvO8eRB81tK6Ne70Xcndu8wffojPx9vbttggayhUyDlC2XY0Fw1qQ4gKgUArrBEWrVopwqJhQ0yk+/ahwFF4OMSGbD2YPJnTtVKXmTOH9UQQFRlbdUuSUtVy6FDLd55nziDdtFAh9dgGWVCMHo04izfewOPhw51TzTEqSond6NHDNamn585h/ZZcRKdOKf1E2rRBPwh307EjXGLuRJIQI9OhA6f1GRk/3rqgzvz5kcrqCuTvb2oq85dfQswOGAAB3qWL86wVkuQ+F1x6NBcNakOICoFASywJiyJFcJffujWExe+/o8xyaCisFUeOwNddu7YyqU6fjvW8/346gaCfOxeiokMH03e006fDrdCzp+XYibt3EUAaEoJMAVNIEgLjRo9O/9yUKTi+li1xp+8Mfv8d4qpoUedXZ/zyS4g4tawTSUK1yhIl8Dl9/LF7O5gOGYLPTyvOnkUjPD8/fC+GDTNvzbpzB99PR6qwWsO4cfg+f/ON8tyBA57bs8V6NBcNakOICoFAa6wRFi+/jMe//YZ4ipAQ3CkeP47U0xo1FL//nDlKx9Nnd1NpgZq+vliXqR4Wf/yBbbRrZ7kPRkwMlvH2xraMuXQJf825JLZtw/6WLGm5noUtXL8OH79OhwndWW6AqVPT99FQIz4eQiogAJ+Zq10znsbdu+ixkSsXvkdvvZW5aurZs4hvcEU8jHyu//wTadNNmuCxsy0Kf/0FN6A23VU1Fw1qQ4gKgcATMBe8KQuLAgVgXpeFRdOmKKu9axcm5zx5kB0hm3cXLUL2Rc+ezCkpiqhYtQrBky+8YPpuetMmvN64seW7upQUJXV1xAilO6qfH/qCWOLqVebq1bGdpUvtO18ZSU1FVoivLwSWo43OHOHaNaV8eaNGrk2DvXTJc7JQZKKjYZUqUoTT3EK7d7tHYN28CRdd7doIbGa2zt1mi/CYNAmiXhvBqLloUBtCVAgEnoKaxUIWFt7euAtu1gwT844dSNPLnx8pj/fvY31yY7Lu3Vn/6JESqLl3LwRL3bqm3RD798OtUq2a5QlLkpD9QISiV7YUtoqLQxluIhSYctbd5LFj6PoaGMg8c6b9F/69exWri71s24YsAS8vCDBnuXyM6dkTaceeSHIyxG3lyvicGzRgXrDA+Xf48md85QqqdObKhV42aty8CWufMQaD+ndm4ECtalQwe4BoUBtCVAgEnkRqKgLKTAmLokUhLGTXw+LFSPMMDMQEdvYszO4VK8J3zcy8ahWzry/r27RJn/1x5AjcENWqMd+7l3k/Tp9GsGipUuqT66uvYl9LlLAtYFKSUJnQlr4h1hAXp3Q9bddOEVm2UKUKalE4SnIy3ChhYTjfs2c71xxfowZznz7OW58rMBjgMmjcGJ9JSAjz/PnOz1b54Qe4wKZOVZ67f998ZsqNG4j9ad4cnXqNY2ckyXzQcrt2rs9eMY/mokFtCFEhEHgapoRFWBj+Fi0Ki0T79kqq3EsvwY+/dStcD4ULM5crp7QQX7+e9X5+EBXGAuL0aYiUcuVw15aRa9fwWoEC5uMfnj5Ft9XevVG7oWJF2ysvbtkCy0iZMtgnZ/HXX+gsmi+fbSmf16+zataHrdy7p1QorVkT1iBHSU1FpVHjiqqeTokSiKchgvVt6lTnWS5++AEiWCYlBVkmat+p06cR7Prii6j5kvG3kFFcVKmCjBJryNgh1XE0Fw1qQ4gKgcATsUZYdOiAxwsXIvgyIACNvS5dwjKlS6dF4etXr4aoeOEFFDKSuXgRoqBECdMWifv3MQmGh2c2Fct3gHLsxblzmDDy54clxBYuX0bwW0gIAu2cxd27sIIQocW3qQDVjMyahfNqS6Eva9m/H+dTrlJqjxVF5vx5rMfdDdfsRZLw+U6ahIn8rbdwniMj4TaTA43tZds2xBr99BPcLAMHmmyuZ5aHD5knTIDl4r33MlcOlYXB/v2Wu/hacp84Li40Fw1qQ4gKgcBTMecK8faGEMiXD4WZvLxwEW3bFneuGzfCvyzfFV67pgRqBgcjKt44SPPGDVgkChY0fbHU63GxDgxEFUVmBGXWrp053fL+fcRqBAfbXhAqJkYJcBw50r5qjaaQJOYff8S5qVIFFRct0b49AlldRWoqhEtEBPz/06bZV7tjxw6835T7yhN5/Bif7bJlynPXrkHsBQYiPmjoUMXCZg96PVxM//wDkWCKhASIh4ULTQsAScJr7doxd+/OvHZt+tet/V6uXYsCXG3b4vN2TtdXzUWD2hCiQiDwZGwRFvPnY0L088Pkf/06zMHFi7P+xAmIiq1bYfGoXz99dse9e7AU5MnDfPRo5v1ISMB2vL0RDGcpKDM2FlYULy/1EuAZkSSlxkCHDkrFUGdw6hREhb8/TOXm7ij798ck4GoePmR+910c63PP2VdmOyulrJ48ie/NwYOZX3vwAK6KXLmQwdO3r3oWUUZsEaGnTjG/8w5ikiZMMC9AtmxB4bbWrfFd/u8/5k8/Nb28vP27d9HsLywM79u5E1aT2rWtCyC1jOaiQW0IUSEQeDpqwiJvXmSNyMKiUydcmNeuhX+4bFnWFyqkBGoePoy75Fq10mckPH6MTILwcNzpZSQlBe8hwsVSbZ8HDsSyn31mu9Vh3TpclCtWdG6VyoQE5kGDsF8vv+wZd/mHDuG8E6EzqLUukawkKGQSEy1bZfR6ZBTlz4/v86uvMp84Yf36bT0nN2/CKvbii4irMOfWkOMuKlXC5yQHQpuiTx8Ixa+/Tv/7mjMHljhLQaDqaC4a1IYQFQJBVsBSjEXx4rAwdO6Mi9m8efjf1xfdIG/fZr3cUEyOdThxInNtC2Zc1J9/Hu6LbdvS78PRo5xWe4EIFSctXcQlCf5zIpTUtqU/BDNiNMqXh8hx/A4vPRs2wMqTMYjz6lXH4hzsxWBg/vlnxBeEh1vnEnnuObihsiMJCUgJLlGC02pdmBK69pIxdTQhAdap1q2Z33zTfJzKTz9hfzIWh5NjJVaswG/QOM1XFhCbN+NmIGNskm1oLhrUhhAVAkFWwZLFokQJiIQuXXBRmzsXd0U+Psx//sn6CxcgKvLlUwpDybUtKlVKf+cVF4eeI/7+yKAwRi4oJNeneO899eCzZcuwrhdesD1t9OlT+LZ1OvSWcObd+b17sFYQwXqRkIDaGQ0aOG8btvLokeISqV4dfV5MkZiIz332bPfunyOMH4/gTFtISUHqtGwhaNoUWU7O+h6YshqsWYPfTvv2mRuRzZoFC4q57Verhs9u9Wpl/+X1Hz6M1xwTyJqLBrUhRIVAkJUwJyy8vBRh0bUrLl4//8wXatbkZCLuV7AgREWlSrg7l8snnz+PFNSyZdOn0iUmMr/yCkRJjx5oVpaRefOw3e7d1WsO7N2rpJzaWqLZYEDVTiKYwy2VELcV4yDOqlXRLG3YMOet314OHYIPngjpuhl9+Jcv47WtW7XZP3vo2hUxDPZgMCArSHa/1a2LidtZwbzMmcXxwYMQeC1aoFrrkycQ0+Hh6ZeTBcby5fjdPf985n1nRgl3nY55yRJH9lJz0aA2hKgQCLIa5lwhsrDInRvBlM+EBb/2Guu9vCAqrlzBHXCePIqv+vJluFBKlkxfYyIlRamUaar9NzMu9H5+qJWhVm9ATjktUMB0MKgay5YhQ6B6def3jvj3X2TAEMEn7gnxCsZZIpGRML3LE9TevdhXZ9b1cDV16kAgOYIkwY3w/PM4/ipV0FTOmQXFMgqV69dR9fWHH+AqGzrU9PItW+I3t3gxHhvvU0ICLGA6HTKz7MexCZ+oOxFdIKJUeta5mIj0RPSR0TJdiSjO6PUoIlpn9TZs3CmBQOAJpKYq6ZcZhUXJkhAW3bvjtdmzWd+9O0TFvHkIHqtVCxOVPLlfu4a6FkWLonYFs9K+XL47nDbN9L5s3w5rSb166rUG7t3D5BIcbJ8Z+MQJxSKzc6ft77fE6tXK+ezQwXxGgLt58EApnFW3LmqALFuGx65o+e4qChVCHI6z2LNHqUFStizzL784K20TmCvZbfycLCiuXYNgqFFDsaQZu1bWrsVvU7Zi2C9anWNNIGr5TDAkElGkidffI6KbRPQKEXnbtG4bd0YgEHgKqalKeqcpYREZmVZCWz9lCkSFToe+IVFRmKBy5VKK/Ny6hcDIggWR1kkEk60kwSVABL+4KY4cwURfqZJ6nYHYWKUiaMYup9bw8CH6nvj4MM+Y4Tyrwu+/w4qyahVEWcGCnlVYau9e+Oy9vGCW//tvz7CoWEtoKAJ3nc2RI3DVEcHiNnOmert6W5Ak5TxfvZremic//+23EBUTJuBxRmtH79543Z7ve3qcIioYwuHkM2HxaobnixPRFiIqaNd6bXyDQCDwJEwJCznGQhYWr73G+memTP3rr+O1RYsQBNmgAXzEBw5gfffuwaScNy8EhYwkMY8axem6kmbk3DlYOooXV68xkJqq9Of44gvbJ8eUFNQCIEJNA1szS9S4dQvCRaeD6dvZfSrsJSUFpa1DQhBkm5Xaq69cie+Iqzh1CoG2Xl4QhJMnp68e6wxefRXfC2MMBrhEfHwU14bBoLg/9uyB4C5WzBnp0c4UFf2eiYq9Rs8VIKKtRFTE7vXa+AaBQOBpWCEs9F27QlRMnKjk0S9YgMqajRtj+b17EbR44ADiFnLnRtdPYyZOxDaGDDE9md24gWDMvHkzvzcjxl1Oe/a0b+KePx8xHQ0bOl5zIuPxGAy48/TxQdCk7BbyBL75BqZ2OSNCy1bvnsaFC3AX+fjgezh+fPoKso7Qpg1zx47KY/k707MnuuMyZ7ZSvP02fm8jR3pUmW4iCn4WL8FEVJ2Icj+zUJR2aL02vkEgEHgiloRFqVKsz5ULokKOjXjnHaWmRUwMJiY/P7x3yhT46uvUgXskYwXEmTMVC4Gpi+TDh3hvaKh1cQ9//IFtN29uX7+N/ftxZ1qkSOZ+DbZQsSKOPSOHDiHeJCQkc4qhVrRogZiazZvRiM3HB5UenZkZ40xiYiBIHQtStI2rV5n79UO9logIWN6Mq8jaQ5MmqGORkS5d8J3X6yEqZGFx8CB+Z3nyOFZ+XMFpooIhLKY+ExVLiWgTEVV2eJ02vkEgEHgqFoSFvkQJiAo5ePOHH1Bjggh+Xtm14eurFL3S61HoSrZiGLNwIQTLa6+ZDo6LjsbE5++v5OxbYtcuCJiqVU13TFXj9m3EiAQEwCVgK4mJSn0PU0RH426UCGWbnVk+3B4qV0ZtDWbED4wejXNdvHjm2iKewJUrrFkK7M2b6C8SEICYoy++sL95WfXqcNvJyJaKlSthqTD+Ldy5g3L4Op1S9t1xV5WzRUUZIpKeCYvmTlmnjW8QCASejBlhodfpICrCw5XJ8fvvlbgGOVZCbqO+ZQvWJ1sxgoOR5WHMihUQIR07mg6MS0zE3bS3N1wtapw5A79z4cLmW61bIiEBxZWImD/6yDZT861beJ9aE7TFi2GxKFXKdA8Ld5EnT+Zqmhcv4vOTU4CvX9dm30wh9/1wRst3e7l7l3n4cKQlh4TAsmNcTdYaqldH2fmMREWhauzLL6PE/O7dSMcODISrynkxOc4WFd5EdPGZqBjmlHXa+AaBQODpmBAW+pAQiIqSJWERkIXF1KkQBUTIpEhIgN9Y7nbKDJO6LDY2b06/rQ0b8HzLlqaD4lJT4WohMl1AKyN37iBWIDTUvrtaScIxeXkh3dBac/e//2If5YBVS1y6BKuIjw9iLpxZgMlaQkJMu2okiXnpUriDgoIQs+LMNEt72b8f51cuuqYlDx5AUISE4BwNH+68HjAbN+K30qgRrHh//qm85pyAWmcKCh0RzSWiH56JiktE5OXwem18g0AgyApkEBZpxa+IEB+QKxei2OXJfsgQTqtFkZiodDuVTekJCWjhbPyczI4duEA3bmw6JkKScBEnYv78c/WLa0wMBIGPj3UWDlNs2QI/erly1mUcbNuG/bt0ybr1JycjK4QIbp67d+3bT3sZNcpyLwy9HtkxXl5wKTmzb4Y9bN2Kc2Wcjqk1jx7BFRIWBmE8ZAjcaPaQUVhmdK84L0PHmaLiRyJ6/Zm4uPRMWLR1eL02vkEgEGQVjIRFWkppaCh8vJGR+PnLwmLSJKUWxQ8/wFz7yitwb6xahfUZP7dyZfptHTgAoVKrlnl/tdxcrF8/dddEcjKyVIiYx4yx76J88SKCL8PC1AttRUfDnWGrmXrLFtS2yJvX+U3PnMHRo0q573ffTd81050cPoyCYo4GSrqCJ08g0sLDYaH74APTQZUpKfg+rV1rfl3G32vXpPo6S1CMI6L+Ro+HPhMVmxxet41vEAgEWYlnwiJNVHh748JJpHTEfPttPP7uO8QiyBkgyckQJT4+6GvAjOd69ECcxB9/pN/WiROYXKtUMX/n/ssvuHvu1k29toQkQVDImSZqXTtNodfD6qLT4fhccaG/f1+p7DhsmOtrWqSmovCVtd1UU1OZp0+HuMqbFxksWaW2hTt5+hTtyiMi8BsZMCB90HBUFD7jZcs020V2jqD4lIg+zfBcLiKKfRa0Wc6h9dv4BoFAkNVITWV9p06K+4MIbgydDumI4eGo+EeEyoCyq2LiREzkr70GESE3QkpNZe7VC+Igo3vi7FkEWpYpYz5QcNUqXLRbtlTvF8KMbfj4IAjOmuUzYjDA7SJnbsTHZ15m2zbHGokZDBBivr7MNWuqF/9yBL0ex7J0qW3vu3MHgpCI+cUXXVuIKiPR0bYHRWqFXo/gyshI/E7efx/1V548wbnLaKVzL44KikFENMHMa7OfWSt+cGgbNr5BIBBkQfRPnqQXFT4+CIaUhUVYmOJuGD9e6Qo6YQJERM+eEBFyuqbBoNS6+Omn9Bu7cgVFt4oVMz+52tIvhBluhtBQTNj2xi8sWYJo/Nq1M6etTpmC9TvKkSM4nyEhSmMpZ/PwIT4ba1J1TbF5M7JX/Pxg9ndmSWtzfP89zn1WQq9Hho0sLvr2xXnPaKFzL/aKiYJE9BMR3SUinZllWhg1GMtt77Z0z1amik6n0+n1esmqhQUCgaYkJSVRUlJS2uOYmBiqVKkS3WzblsLWr8eT3t5EgYFEsbFEpUoRPXxI1KkT0eLFRF9+SZScTPTtt/h/6FCigQOJfv+daNYsotdfJ5Ikok8+Ifr5Z6LvviPq10/ZgTt3iDp0INLridauJapYMfNOHj9O1LkzUd68RKtXExUqZPmgTp0i6tqVyM+PaOVKonLlbD8x//5L9NprRCkpOJY6dfD8jBlE48YR3b5t+zozEhND9OGHREuXEvXoQTRpElFoqOPrlblzB+dzxQqili3tW0dCAvbr+++JihcnmjqV6IUXnLePGZk7l+ijj4iioly3DVcRE0M0Zw7Rjz9i/59/Hr+BIkXcvivh4eHhRBTDVk7cOp2uFRFNI6LSROT17OljzFwrw3IriagdEfk9eyqBELzZlZkv2LKPtoiKMIKCEQgEAoFAoA3hzByt9U6Yw6mWiujoaCpatCjdvHmTwsLC7NqhOnXq0OHDh7PUex15vzhn4py54v0ZLRV3796lunXr0n///UeFCxYk6t2baNUqvGjKYtG5M9HChUQjRmCZsWPpp8hI6nf5MtHw4UTz5uHutndvOFS++QZ3vl98gTtSmagooi5dKObYMQrdtImofv3MO3vrFiwkUVFEf/5J9Nxzlo/56VOiN94gOnQIVpJXXrH9nCUnw5qwaBFR//6wknz7bTpLhTO+Z12qV6eVYWFEZ84Qff01tqXTWfVes5/1rVtEL71ENH8+Ub16tr3XFJJE9NtvsEgREX39NdX54Qc6fOSIde83wuw5W7aM6J13YGUJDra4Do//bcbE4Hs3bRp+M2+/TTR0KNXp1Mnl1zNbLRWaYKO/xCJ6vR5+WwdK2FasWDHLvdeR94tzZjvinNnOzZs3mYj4phxLYDAwyyW7M8ZYlCuH/999F6+NHg3fMhGaIhkMSLsjQlaBjJypkbHraHQ0HwwKQqEhcwWtHj5ErENYGEp2qx1zYiIqGOp0potAqb2fGfs4bRqCUGvVQqdJI5z2PUtMxLqJmNu1w7Fa+15HtmsrDx6kFUU7FBRkV5Mys+dsxQocvxUprR7925w6VSmQFh3NPG5cWszFrxERdtW5sPF75lCgpjuGx4mK6cYXqSzyXkfeL86Z7YhzZjuZRAWzeWFBlFlYjBrF/8iVN0eMUNo9y+W+Zb79ltPKZBsJi9lTpiDt0t/ffJ5/dDTqZgQEpFvG7DEbDEqmypAhZitbqp6zbdswMZQpk24idfr37K+/0Pm1UCGrGq1p9j37+2+OypsXmSxffmlTIKfZc5acjMqsVqSyevRvMzIS33FjnmWLJAQF4fs9eDAybaxEiArnnRwBi3NmD+Kc2Y5JUcFsWliEheH/8uUhLPr1U6wUcqvyTz/Fez/+mNPST2V++AHPffBB+kkkMZG5c2dsQ05PzUhCAvpWeHtbnz0xYwYyU7p2tT+T4cQJZKyEhqb1/3DJ9+zWLeYXXsD+jhplfyvsEiXMNz9zBgkJEBS+vsxlyypN5lTI9r/NAgVQy8IUT5/CqhceDmE8bJhV5b+FqLBAYmIijxo1ihPVitoI0hDnzHbEObOdBw8eMBHxA1O1AtSERUgIc//+ePzllyjrTQRBYTAo6afjxyvrnD2b06o4GlsQUlLQOtrLC4WwTJGSotTN+OEH6w5w9WqkLDZubF/VSLk3RdOmaYWyEhMSXPM9S01l/uornIPnn7evK2tEBNJ9Xc1//6HdNxFqk6i4bsz+Nk+fhhXq2jXX7as7KFYM7j1LREVBMIaF4Ts5fLjFGh02Xs80Fw1qw6miQiAQeCaqd0OWXCEZhcWIEfAtEzF/+CHeK7dOHzNGWef8+Zig3347/R25waBYP6ZNM70/koSLsWwhsaYC5P796N5ZoYLtPSYuXMC2tm1TRNKbb7q2hsOuXSgUlju37e3KrZncnIXBwDxnDsqw58ljX0XOgwdxTk+ccM0+uosyZSCmreHxY3xGoaHo8vvZZ/a3XFfQXDSoDSEqBIIcgFUmVmuEhdwq/bPPmH/8kdPiGSQJZuGMIuC33+DKeP319GW2JUnpNWJs4cjIhAlYZsAA67qBXriAhmkFCqDvhbXI1RLlcuR//AETdt269jeZsoaHDxG8SYQYFWtLfFeqBN+9O7l7V6nI2bw5eqtYi9wFVst28c5g0CDbm9w9egR3YVAQfk8jRzrSA0Vz0aA2hKgQCHIAVvttLQmLChVwxzVgAKfFVUyfjv8HDYJQkEWAcTfS5cuxni5d0k+akqRYOEaMMH/3+/PPsHi89pp1bbzv32euUwf7KrdvV0OScJzffac8d+QILAmFCjEfOmTdeuxBbtfu64sMGGs6pdarhwqoWrBxI2I6AgKQFWSNEDp3Dp9zhsyeHMX9+7DsBQTA6vP11wjytA3NRYPaEKJCIMgB2BQMZinGQhYWAwdyWlzFrFmKNUGSlG6kxhkga9ag1HH79pkbiU2ciOUHDzYvLJYvx6Tbpg2yCNSIjYUFwNubed489eWZEUD51Vfpn7t7l7lBA0T1//abdeuxl8OHYWUJDTUfyCpz/Lj1bdpdQWws3FPe3mggJ6dZmuPqVXzGW7a4ZfdcxoMHjrsw7tyBCPfzQzbJhAk4n9ahuWhQG0JUCAQ5AJuj8q0RFnKtiuHD0f+DiPm99/De77/nNJO+LBQ2bsRdWuvWmZt6zZyJ5fv2NZ8RsWULttu4sXXm45QUJXbjq6/s78yZmIggReOsF1eh1ysuhnfesU5AacmxY6jxodPh+xAdbXq5mBh8xq50JbmDxo2Z33rLOeu6eRO/F19f5nz5YK1Sj+HRXDSoDZeJivbt23PRokXZ39+fCxQowG+++SbfzupfKBdz9epV7t27N5coUYIDAgK4VKlSPHLkSE5ydSvlLM4333zDDRo04MDAQA4PD9d6dzwSu1L9rBEWgwbh8bBhSHHU6ZSMjxkzOFNq6d9/IyK+WbPMd2cLFiAj4vXXzbs59u9H5sNzz1nXWEySlMJdffqou08kiXft2sXt2rXjggULMhHxqlWrFAuMlxesLa5MmZQknMvAQObKlZnPnMm8zK5dMKV7AikpvLVNG4738uKbOh2/GRbGHTt25HPu7ILqLpo1g+hzAjNnzuSqVaty5eBgXujryylEnJA7N8SX+Wu+5qJBbbhMVEyZMoX379/P165d43/++YcbNGjADRo0sGUVOY6NGzfy22+/zZs3b+bLly/zmjVrOF++fPyhp1w8PJSRI0fylClTeNiwYUJUmMHu+gGWYiwqVkTwmSwshg5FmqhOB4uDwZDZgsGMCTEkBKmKGe9sly3DNjp1yuwmkTl9GnEOpUujI6o1LFyo3j593Trm0FDevGIFjxgxgleuXKmICpkNGyCsKldmvnzZum3by+nTCMgMDMR5Nba0zJuH8+ohadWtWrXi5RMncvSz9NO9BQpw7cKFOdZYOK5Zw7x7t3Y76QzatGHu0MEpq1q7di2vX7+ez58/z+fPn+fJ773Hv+l0LOl0zMWL4zM2Dm4GmosGteEyUZGRNWvWsE6n42RrAq0EaXz33XdcsmRJrXcjSzB//nwhKszgUFEiS8KiUqX0wmLwYFgcdDrm//0Prox589ILDWbmffswOdevn9mVsW4dYhhatTJv/r9yBel9hQoxnzpl3XHI7dNr1TJdlOjYMRzDnj1pT2USFcyo3VCmDPzh27dbt217iYtTWtK/8YYiwv7+G8/ZkoHhDiSJeckSNuTJw1FEfF5OOWZmbtgQbqSszNtvI0jWRURERPCK0aNRyI0I37NffzV2CWouGtSG3ArVpTx58oR+++03atiwIfn6+rpjk9kGvV5PkZGRWu+GICfj5UX0xx9E3bvjcWoqWmeHhRH99x9aZ8+dSzRkCNEPPxAdO4ZGXQsXouFYr15ECxagCVmfPkQGA1GDBkTbthGdP0/UogXRkyfK9tq2JdqwgWjvXqKXXyaKNtGQsWRJvJ43L1pRHzigfhwtWxLt3o2mVg0aYNvGVK2KxmoHD1peT8WKWKZmTaxz1iz1bdtLUBDO7W+/Ea1ZQ1SrFtGJE0QlSuD169ddt2170OmIXn2Vrm3cSCuJqNzkyUQvvohzXagQzn1WpmBBogcPnL5ag8FAS5Ysobi4OKrYtSvR8uVEx4/ju/bmm2iy9+efTt+uS7BRhdjExx9/zEFBQUxEXL9+fX7keOGPHMWlS5c4LCyM58yZo/WuZAmEpSIz06dP54oVK3K5cuUcL59sKcZCNtPL/UAGDkS2hJcXikilpqZ/LJt1T5xAQaVq1TJXHfznH5Q8rlvXfJXMqCgEzwUFWZ9ZcO0aXDe5c8NiYszzzzN365b2kExZKmRSUhQLzfvvW5fu6ggXLjDXqIGsAbkUuitLdduJJEncvn17bty4MYqJlS6Nfa5fH+c9K5OQYH9pdROcPHmSg4OD2dvbm8PDw3n9sxLx6ThwgLlly2eOBe0tEWrDpoVHjRrFRGRxHD58OO1cPHz4kM+fP89btmzhRo0acZs2bViyNwI7C2PreWNmvn37NpcpU4b7aJWLrjH2nDMhKszjtJ4Maq4QY2Hx/vtIjfT2Ro2JlBTmpUvxuEcPRVicPs2cPz/en7ER09GjmPyrVTPfRyEuDr5uX1+leJUaT54gpiMggNlYNHz8MXPRomkPLYoKmZ9/xnl48UVnVEy0TEKCks5boYL1dTjcyPvvv8/FixdX+szExzN/8gkEpZcXgm0FzMyclJTEFy9e5MOHD/Onn37KefLk4TOmAnOZ5SZ0mosGtWHTwg8fPuSzZ89aHAlmUmLkhkb7Mt4Z5ABsPW+3b9/mcuXKcc+ePdngyvQ1D8ae75oQFeZxaqMnS8KicmUIC7laZv/+EBI+PsyvvgohsWIFHnftqtzdnzuH+Ihy5TL3wjh9mrlgQVT1NNcnIzkZWSNeXpjkrSEhAVYJLy9kqjAjo8Sov4VVooIZwad58uCu3Nyk4ExWrIAVp2RJ1xbmspGBAwdykSJF+IqpANoff8Q+q6WfejLnzsHicv68S1bfvHlzfvfddy0torloUBu2vsFubty4wUTEO3bscGQ12Z5bt25x2bJluUePHpzqRDNbTkCICvM4vXukmrAICEDKo06HWhFyVc1u3SAAVq+GZeGVV5T0uUuX0NOiZMnMvTsuXsRrJUqYz7owGJRqn9Y22zIYUGacCHfTGUS81aKCGcGjVaqk63TqUvbvh7XC1xc1DjS0AkuSxAMGDOBChQrxhQsXzC+YkoKGdEFB+DzdcZ6cyZUr+K5s3eqS1Tdr1ox7WQ5m1Vw0qA2XiIqDBw/ytGnT+Pjx43zt2jXevn07N27cmEuXLi06S1pAdnk0a9aMb926xXfv3k0bAvNcv36djx8/zqNHj+aQkBA+fvw4Hz9+nGPMpQ7mQFzSktoWYfHuu8wrV2IC7NIFwuKvvzJX2bx2jblUKUw4GStGXr+ONtyFCzOfPWt6nyQJvRUyVvRUY8oUljMskoYP53u9evHx48eZiHjKlCl8/Phxvn79uvp6oqORcvis06lLJ/rJk3GOZXdThw72dWh1Av379+fw8HDeuXNnuutWvHGRM0lCe/D4eEzOcpzAa69Z7OLpUSQkYJ8XLXJ4VZ999hnv3r2br169yidPnuTPP/+cvby8eIvl2CDNRYPacImoOHnyJL/44oscGRnJ/v7+XKJECX7vvff41q1b1q4iRzJ//nyz8QMC8/Tq1cvkORNWMQWXiApmy8GbVapg0hs+XEkplS0UnTrBQrFxI9JH27RRqgneugU3SKFCMDcbc+cOBEvevJY7XsoVPfv0sT6wbulSZj8/Tsifn++a+D6p3EGmPyeff47t9+rluloSO3ZgG2fOMK9dixTXokUzB5+6AXPXrfnz5ysL6fXYX7kEuSShfkhkJOJm7Ol+qgW5cjF/+63Dq+nduzcXL16c/fz8OG/evNy8eXM1QcHsAaJBbbhEVAgEAs/CZaKC2bLFIqOw6NMHE6CfH+6sExORtREQwPzSS0r57rt3EbiZPz9iKox59Ai1JnLlstxzYuFCBIV26WL9xL5zJwpzETFv2mTf+ZD57TcIpgYNrKv+aStRUdjPxYvx+MYN1ILw8YGVxBPjsUJCYGEx5v59WCuI8B2wtW29u6lQwf0dYhU0Fw1qQ4gKgSAH4FJRwYwJ7NVXzQsLf3+4I+SiWHKBq3btMOFv2wY/e/PmSsGrBw9QjjtPnsxWiadPMYGGhFjufLlmDbbTooX5SpoZOX4c+xkenlnQ2MrBgwgyLVoUxbWcTenScH/IJCcjNoSIuW3bdEGnHkGlSoh7McW6dThPwcGwNHlqTNm6dchK0gbNRYPaEKJCIMgBuFxUMFsvLLy8UJlw/XpYKGTXx65dmFCaNlUEwOPHsEpERKCLpzGxsRAhgYGWrQo7dmA/6ta1PuXz5ZchcnLlcrxd961bOIagIGRtOJP+/dHkLCMbNkCMFSmSrkKo5nTvjm6w5oiOhujQ6VC50lFRl/3QXDSoDSEqBIIcgFtEBbN1wuLjjyEs3norfefShATmvXthfWjcWEk5jIpCGl9YWOZ4gYQEWDt8fZn//NP8fh05gkm2UiVM8mr8+y+sI82awVWzbJndp4SZYX2Rz8uYMe6JHbh1C7U4vL2Zx43zDHfI11/DcqPG3r1KZsuoUR7T44SZkcI7fbpWW9dcNKgNISoEghyA20QFs2VhUbUqJmm5GFLPnsybN8Pa0LIlYir274eAaNAAbg5mCIwmTUy7O5KTcQfs7Y04BnOcPQvzeokS1vfMSEpC/QudDmmbjiBJmFSJcH6c1dY8NjZzK3mZlBTmESOw/61ba59lERtrfeXRxETmL7/E96dSJU0CUE0yeTIsatqguWhQG0JUCAQ5ALeKCmbrhYW3Nxplbd2aPqbi0CG4HurWVRqOxcbCchAYiIZaxqSmwqWi0zFbKmt//TqKaOXPbzl7hJn5jz9QR8NggNuGCCmyjt7xr1yJY61VyzqriSUeP4Y4kzMqzLF5MzJmChfOep1CT55krlMHn+3gwdbHxriK33/Hd0Gb4l2aiwa1IUSFQJADcLuoYLYsLKpVSy8sXn8dwZrBwSh3HRuLYLiICEy+cv2F+Hjccfv7I24g4/befx/rt2RVePCAuWZNBGLu3Wt+uZUrsS65JsaPP2Ji69HDcXP88eOwmhQsiGBORyhVCqW71bh9G71NtHaHvPwy88yZtr0nNRUWgsBAWJqs7fPiCuRUXhdV1VRBc9GgNoSoEAhyAJqICmbrhMWnnyr9QHbsUII1Y2NhTcidm7l6dSXIMjERBbP8/JDdYYwkIWaDiPmbb8zvl16PgMHAwMziRCYhAcLjiy+U51asgKBp2jRzy3ZbuXsXsSIBAbj7tZd330X8gTV4gjukbl3E09jDpUuwVhEhi+jJE+fumzVcvozta9N3RXPRoDaEqBAIcgCaiQpmCIsePUwLi+eeQzDep58q/UHkWhFNmsDUffIkTPdVqyqTYFIS6k/4+GRuIiZJCIYkwnrNBUXGx6NWho8PXB2m6NMHZcON7+r37IEFpUoV871IrCUhAXElRBAv9lgPli3D+21xpcjukEKF3O8O6d0b3VbtRZLQnTU8nLlAAViU3InBALeYo1lB9qG5aFAbQlQIBDkATUUFs2VhUa1aemHRrRsu2KGhzI0awXd95gziICpXVrqVpqQoTcRMBWhOnoz1DxpkfrJOScFds07HPGtW5tf37ME60CFS4b//UEq8SBHmU6ccOzeShAqNOh0mK1tjBh4+hPXE1j4asjvEy8u97pCpU7G/cpdae7l9m7ljR3w+Xbq4psCY56G5aFAbQlQIBNmY6dOnc8WKFblcuXLaigpm6ywWn32mdDDds0fJAtHrEdtQsCBM/XKLdOMAzV9+ybzN2bOVSp7miikZDBAeRMxjx6a3bEgSslFMWTtu38Z+h4dnFh32sGYNLDTPPYeAUlswl/2hhuwOIYI7xB3Fsv7+m9PFqjiCJKG8et68sB4tWOCedN2YGMfFpH1oLhrUhhAVAkEOQHNLhYy1wkJuPPbPP5i069dHeumFC8hgKFdOMfcbDIgrIIKIyMiiRbgbf+018+mMksQ8ejSnZXiYmphMiRK9Hhkrfn6Y3Bzl5EkEIubLZ3sKZWqq/RPqpk2o41G4sOXgVWeg1yOOxZlZHI8eMb/5Jj6/Vq3QmM6VTJqEDB73B7tqLhrUhhAVAkEOwGNEBbNlYVG9OgTF558rrdH37UufXnrpEjInSpdGvwtmTKYffIB1/Phj5m2uWIH1dexoOXNj2jSso3fv9Ob5tm1NV65kRnzHG2/gfVOm2HtWFB48QPEvPz/ru2EeP45zdOaM/ds1Lpb17beeUSzLVtavh0sqJAQFqlx1DJs24fO+fNk16zeP5qJBbQhRIRDkADxKVDCrCwsfHwgLPz90ND1wAObt2rUR8X/lCu7oS5ZU7kolCY3LiJgnTsy8Tbks+EsvWS489euvmFg7d1YEyODBuJOXO6maOh6558awYY5PZomJyG6Qg03V1hcXh3P1ww+ObTclBdsjQvl0a8ua28rq1YjjsJdDh1BBde7czBYkvZ75vfdwDI0bZ+506wxu3sT61651/roto7loUBtCVAgEOQCPExXMtgmLjh1RzyEyEjUmHj9G3EGpUszFiyt3jJKkxAh8/XXmbW7fjpTVJk0w+Zjjr78gQJo3R6Do+fNY54IFlo9p2jTEcLz6quO1LCQJZnadDsev5i548UWULHcGGzYglbdIEddUsvzmG8TL2Ns07MQJiIXp0xHYa+qz3LED1ix/f+YJExwPDDVGkuCWc0QY2YfmokFtCFEhEOQAPFJUMNsmLNq3xx2qcd2KmzeZy5SBO8S49LacUvrll5njDPbtw4RQt65SVMsUu3Zh4pMbkbVrh3LRalaDlSudV8uCGV0xQ0ORJWMpVmDSJAghZ1V6vHlTaaU+aZJzAyDlrBpndPscO5Z5xgzT+xcXB+uVlxeKqJ086fj2ZJo2xbrdi+aiQW0IUSEQ5AA8VlQwWxYWNWrg8YgRSqt0uTnYc88hW+H2bZTeLlQofZXDb7/FOj7+OPOEc+wY1lGtGvP9++b37ehRZBZUqoTsjIgI68zpzqxlwYxunSVLIoDzn39ML3PtGo7X1tRSSyQnKyXKO3RwXrGpxEQIoMmT7V+H/Jn+/Te+C198AeuUKevHwYNIR5YblCUl2b/djNt3L5qLBrUhRIVAkAPwaFHBrC4svL0xafj7I2hSnuzlglh37zJXrIhiSMapit9/j3UMHpx5EjhzBimq5ctbLhx17pzSiMyWO13jWhbOaOH98CHqSvj5MS9caHqZ27cd344p1q6FSCpRAtYiZ/DiixAqzuDmTbhELFlyjBuUVa3KfPiwc7btXnGhuWhQG0JUCAQ5AI8XFczWC4uAAAQRHjuGglhVqsDacP8+/s+XL/0kPmsW1vHee5ldFxcvYuIvWRLBn+a4cUNpRLZ9u/XBf7dvwxqSK5dzKjAmJSEzhQiBoaZcMZJkf6yCJa5dgyvI1xcBoY5OpmvW2J6GKx9XUpKSHmxrUOyJE/g+eXnhHNpb40O2djmj3ob1aC4a1IYQFQJBDiBLiApm24RF69aYIAoUgHvi3j3czT/3HC72//6rrHfePAQ89u6decK9fh1xGYULW54g5EZk3t6I6bCWp0/Rr8LPDyW1HUWS4DYwFcAZHQ2B5EgvEUskJTEPGcJpVSzl1vTuQBYxqamogvrTT/ZvPzkZQZZ+fqh5Yk9tjvv3cR4ylol3LZqLBrUhRIVAkAPIMqKC2XphERiIQkf//pu+0uajR1guMhJ3kzKLF+Pu9I03MmcC3LkDn3vevOnFSEb0eixHhOBFa0lKQklxnc7xtE8ZcwGcdeqgvocrWbkSwa6lS6c/x/asZ/t286/fvo3utTKnTyOuRqdDkTRH+e8/FFaT26rHxtr2/rx5EaPhPjQXDWpDiAqBIAeQpUQFs2VhIVsLZGHx0kuIdShcGC6K27cRUFi7NuIAjhxR1rt0Kd7brVvm6poPH2LdERGW4wZiY7EvOp35RmTmjkkOevzoI+cUZjIO4JRTP7/7DpYcZ1asNMXlyzhf/v6wGtjjDmnSBPVAzBETAxHYowcESNOmqGT5yy9KZo2j5zE1FUXLAgORomxJ5GTkxRdRUt59aC4a1IYQFQJBDiDLiQpmTBavvWZZWHz5JSaDli3Ri6FIEeayZRF4GRXFXK8e7qgPHlTWu2qV+eqaT58ijTI01HL3zjVrsB86nenS4Jb4/nu87/XXHa9lwQy3TJMmSgXOK1ewb7YIHntJSGDu3x/be+MN24XMF1/AVWVKkBiLhT598Pl7ezunz4opLl5EIKwcf2PNb2XgQAhZ96G5aFAbQlQIBDmALCkqmNWFhZcXhEVQEHOLFrhzL1oUMRI3b2JiaNgQ9SaMizitX4877DZtMlfJjIlBDERgIPOWLab3S67eKe/b+PG2HdeyZRABzZtbN3mpkZSUvgJn7dqYGN3F77+jqFiFCrZlumzdin3O+B457kWvR/XNwoWRsdGoEdwU5iqbOorBgJoXwcH4Hm3aZHn5K1eckzJsPZqLBrUhRIVAkAPIsqKC2bKwqFVLERbBwRADZ86gymapUgjCjI7GnXxICOpHyGzZAuHQokXmst3x8Uhd9fODVcIckgSfurl6GJbYuRNWlOeec04qqCShPLlOhyBWZxXBspazZ5F9ExRkPuU1I7Gx+DxnzDD9+ujROEeNGiH+gRmiYtYs12S4yFy9iu8FEcSaM4qYOQfNRYPaEKJCIMjGeFTrc0cwGOAusEZYvPgihIVxb5DYWDwfHJzefL5jB5574YXMpvukJPjLvb3NuxIOHkSthUmTsC99+9o22ckum+LFnZea+NdfEFDVqysTsbuIi1MsJn36WJeuOXhw5oJdKSmwBAUE4HPL+NlY6t3iLCSJec4cWLkKFcJ5NcXnn9sWtOsYmosGtSFEhUCQA8jSlgoZa4VFSAgC+v77D6KiRAncecbF4e4zMBBVGGX27sV6GjbMnKKYksLcsyfu/ufNy7xPp07htWnTcHfu7Q0hYkusxI0byCiJjDRfLdNWTp5EbQxvb+b9+52zTlv45Rec52rV0K7eGmQrz9mzzP364bwOHKjUD0lJ0aZz6o0bzC+/jO9Zz56ZS7u//jrqd7gHzUWD2hCiQiDIAWQLUcFsm7B4/nlMUKVLo8DV5cu4c27VCnfAmzcr6z14EJNwnTqZS1EbDErXy2nTMu/T22+jH8mTJ3CV+PsjI8WW9MSoKOxvQAACSZ3Bn39in319XVe3whInT6IGRGio5fockgTr0cmTOGeyoPjmG8u9WTLiSsEhSczz58MVU6AA4jxkZs+GeHN1tg3QXDSoDSEqBIIcQLYRFczWC4vQUMRSnDuHjJCiRZkvXUKQX9u2mPw3bFDWe/QorAU1aiC91BhJQktzInS8NObOHYiYQYPwePt2PG7QwLZeGQkJSHX18mKeOdO+c5Nxn0uXhqWGiHnkSPff6UdHo2MrEfMHH5jvuVG+PAqTpaQgyPT999O/LnehNYWx8HD18d2+jToZRIjzefgQFjEi80G9zkVz0aA2hKgQCHIA2UpUMGcWFr6+irCoXRt3urKwaNwYwqJcOcQvXLwI90SHDgjENPaVnzyJgkZVqqBCpzGShImZCKmQxkGZ336LuAjZ13/4MKwXVatCdNhyXIMGYRuff+54KeyJE3FuvvgC6+zWzT3xCMZIElqU+/rCTWCqP8cnnyC19OlTpPr+v73zDo+i+t742fQQSAih994RBOkdUelFeu8g0gRFxAaKgiKiQrCASG+KNEVAivQqzS9IDz1AiEACCWm75/fH+xtmd7O7M7tJ2IQ9n+e5j+zuzJ07Cz7z7rnnvOerr/D+nj3MK1far64xmZC0OXq0ZRVNRkctliyBn0nevHDUzJ0b33HG43bRoDVEVAiCB/DMiQpm/cIiOBjVA+fPW3YzTUyE86Svr+WWw7//qg6dtqoylO6nY8eqD/3ExNTh73//RSlkyZKO+4pYYzLBwIoIWyvWJl3OEBUFkbR9O8yjsmVDNMdRA7WM4vBhCK/QULiBmnPwIO531y5EbCZOhIAbOxbCQukka09kTZ0Kr5JNm9T3MrI6hBlN7Dp2xLobNEi/fBjHuF00aA0RFYLgATyTooLZtrDInt22sKhXD8KiQgWIhrNn8cDu0gVbKKtXq/OeP4+oRunSSNSzJjwc1xg2zPJX8bVrlomRV65gjgIFnO9UumwZ7qdFi7Tt15uLkmPHcF8FC1o6jT4t/vtP3T545x3VLt1oxJqULSRm50XBgQPwHXn3XfU9kylju4iaTKgMCguDeEuP3i6Ocbto0BoiKgTBA3hmRQWz/ohFSAjyHC5cQLVF/vyIJiQnwwba29uya2ZEBH5ZFy9uO9Lw00/If+jTR304duyI481LKW/fhhdFrlz4Re4MW7fiXl54Qf217gr37qkmTZGRSEgNDLQUUk8LoxHRHm9vlPIq20PTpunvfhoTg+PNnVKZIUTGj2du29ZSNGV0rsWlS4iCEaH6Jy1/V45xu2jQGiIqBMEDeKZFBbN+YZEzJxpIXbiAvIl8+eBpkZzM3Ls3RMKyZeq8V68i2bFIEZxjzcqViHJ06oQtkLNnce2PPrI87v59bMEEBVmWs+rh+HEIoFKlbK9BD889h4RJhfh45q5d8f188knG/pq3x65diODkywe/EGfZtg2ixJZHxIYNcCudOVN9LyOFRUoK/r1164b8ity5IVDT/3t1u2jQGiIqBMEDeOZFBbNjYVGzpiosQkPRE+TiRTxs8+SB30RKCnIYvLwsHSFv3sSv0AIFbBtUrV+PhM9WrfCwnjgRr8+etTwuLg5bGX5+KPd0hogIJJrmyeO42Zk95szBfZlHXMzdQHv1yjjra0fcvg0XVC8v5EX8+6/jnivWPHiALaiuXfH3ac5//8GMrEcP+JQoZJS4aNkSpcR37iBaobSHt074TRtuFw1aQ0SFIHgAHiEqmPUJiw8/hLCoVQsPomrV8Mvyn39w/uDBqc2ubt/GlknevBAg1iiW382aITmyVCk8YKxJTMQD0MsLvgfOcPcuoizZslmWwuohLg73OHJk6s9WrIA/Rt266f0A1EdKilqdUrAgc8WK+s4zFweLFsF509Z3On8+PluyxPa56cW0acjnUbbCfv4Z33lYGL7j9IlauF00aA0RFYLgAXiMqGB2nLxZsyY/8WzIlQtbIxcvwpsiLIz5xAlLs6sfflDnvXsXAiQsDAmP1uzerTpzbt2aOlKhkJLCPHQo5ldKJ/USF4d8AW9v50XJ5MkQJNHRqT87eBBbLEWLMp886dy86cUff6h/T3oNwMzFQUQEcmOGDEntD3LhAsTc8OEZ1xNl3z6s/cgR9b2oKHWb6dVX00O0uV00aA0RFYLgAXiUqGDGw6ZXL8fC4oMPICxq1ECiXY0aeH3sGH5VjhyJ48ybXf33H4RIzpy2tyEOHUIUpHp1iJD4eNvNqEwmeDMoAseZX7HJyXhwOpsPcfcuKi/s5WVcuwbRlD27/T4XGc2//yJK5O2NChu992YuLr78EvkU1mWrzPi+zIViepKYiK0vW0ZdipdFWBjycFyPWrhdNGgNERWC4AF4nKhg1i8swsIgAi5dwvuhoagcMJmY33gDx33zjTrvgwfYKggOtu1NcPIkch8qVcK8vXrZX+Nnn/ETt0lnQvImE5JBifDrO708GR4+ZO7QAQ/2L790TwJn+/b4/ogQedAbWTD//g4fhoCaMME9/UJsERWF8mUlauFahYjbRYPWEFEhCB6AR4oKZsfColYtVVjkzo0tkIgIJHHmzIkwtsmEEkUiy0qC2Fj06ggKQhWDNWfOID8gXz6cu3mz/TXOnYuHeO/ezhtdzZuHX/UdO+rrCMqMjqAbNtj/3GhUoyiDB9u31s4oNm/G9tDSpfi7Kl9ev8eHuS+FyYTIQZs2qUtPM4qoKPw7cZT0ap5r4XzUwu2iQWuIqBCEZ5hnpvV5WrAWFn5+9oVFtWoQFnXqwNfi0CH14UQEfwWFR48QZg8MRA6FNZcuwbPC3x/Omo4MrFatguBp21a/OFD47TesoX59fQ24unSBIZdWdGPBAqypSRPnGnulJ2fPovQ3WzaIDL2Y39sff0AAulI14yynT+Pfia2tF3OsK0T0Ry3cLhq0hogKQfAAPDZSoWBLWChVIYqweP99hN2rVoWwqFcPWxwHDlj2/fj0U3Xe+HiUiVo3J1O4fh3t1w0GS58IW2zaBHHQuLFlHws9HDiAX74VKsBbwxGHD+M+9Bhf7d6NeUuXtp94mhHExCCCk5iI5NS+fbHm117TX/pqvu3hTMfYtGAy4bsaMkTf8UrUInduvW6cbhcNWkNEhSB4AB4vKpgdRyxq11aFRd688K+4fBk9HXLkUHMnlDwGc3Mr8+Zk69envu7t27DGDg62XTVizt69iJDUqJG6U6oWZ88iMlKoEMpjHdG4McSUntD7pUsQKzlzOm/c5SqnTuF7/vVXvDaZIDL8/fHdONNL5WnnVLz5Jra99F73zh1EK5SGb1FRjo52u2jQGiIqBMEDEFHx/+gRFu+9h4dClSp4eDVqhGP27sUcU6fyky0T84ZinTrBXfOXX1JfNzparRrRMnc6cQLCpnx51VpbL5GR2MIJCWHeudP+cZs34x7MG3A54sED+G54ezN//71za3KVWrXQot6co0cR+cmZ03FeiDvZswff7f79+s8xmZBfkSsXomWKmEqN20WD1hBRIQgegIgKM/RGLPLlw35+RATyCoKCVEGgdBF95x1VWCQnw73R29vS6lvhwQOEuX19HT/wmdHQrGhRjPPnnbu/mBjkevj52Q+pm0zMCxc6ty2QnKyW2Y4Zk/FdQL/7DiZh1p1i791DZMi6KVl642ozspQUbNNoRYtscesWqm+I8G8ptaeI20WD1hBRIQgegIgKKxwJizp11IhF/vwoDY2IgFtmUJAqCGbOxHFvvaU+fFJSmPv1Qw7FwoWprztrlno9RxUhzIhSlC+PqMXx487dX2IiDMAMBlzTEc6KgzlzIJxatXI+98MZ7t+H0+dnn6X+zGRSm5I1aYKHcXrxww9oFa+Q0eLJGpMJojQ0FMJ23TrzT90uGrSGiApB8ABEVNjAGWFRsSKERfPmqETYsQNzKCLhjTdUYWE0IlHPYEAegDkmE6IIAQG4npZz5N27yCEICVG3X5y5vzffxPrs+TXMmwdvDmfzDrZsQY5I5cqWfTXSmy++wLXssXMn/n4KFHCuZ4gjtm/H3/Mnn6jvGY3ORS0eP0a1ypUrrq8jMhLVQEQoN0YFjttFg9YQUSEIHoCICjs4EhZ16+K/776Lh1aFChAWL72EKg0lafHbb3HcyJGWwmLECLwfHm55zWvXkPxZrBh+aS9f7niNMTFIrAwM1J8DYY4SUenTJ7UPxv79+GzFCufnPX2auWRJ5ADYMgF7WkRGIu/F2xsiJD0Mu+LjmUePhv/H6dPq+3rFV3w8xKd5CbIrmEzMixcjh6RAAeZMIBq0hogKQfAARFQ4QK+wKFgQ2xGXLjG/8gqiDX/+iTnmzuUnJY/Kg8dkYh43Du9/+aXlNZcswS/hvn1TNy+zRXw8frX6+iKhz1lWrMC5L7+c2qGydWt0QHUlN+HuXeaGDfGdOeMj4Qw7dmgnhyYnq4ZdHTrYtkbXi7lwWLUKzci++872547o2BH/ftKDGzfQBTUTiAatIaJCEDwAERUaGI0IMWsJi0KF0AY9IgI5Bf7+am7ETz9BIAwebCksFOOsqVNtX1dpLjZ7tuM1JiVhjQaDa/0rtm9HhKRGDcvGVkeP4vq2ckD0kJCAPBKlIia9Szg/+ADr1pNUun49topKlXI+D8Uc83u4eRNRnn79LL83rftcuBB/V9b5Hq5GUnCe20WD1hBRIQgegIgKHegRFhMnwnOibFkIi9atISyUbYnFi1Gx0L+/muBnMqFDKBHzpEmWD5WvvkKiodJjxFZSovUalW0VV0Lrx48jB6FUKcvGYq++iv4jrmIyqX1MunSBYVV6cekS5l20SN/xSjv7gADtCJAW5sIhPBzJuuamYY6SOKOj8W9h7lz7QsJ5AeZ20aA1RFQIggcgokIneoVFkSLMZcrggde2LY5TrJmXLcPDpHdvy4eO4m9hXoa6cyd+zX76qerYae5/YQuTCcdYz6WXy5cRbcmTR23T7WzPEXusWYNcgpo1keuQXrz0Enw+9N5rfDwiRkTMAwc6b31ujvmD/59/0PBs3DhEaLQYPx5OqzExEKFTpiDKZF5y7Fx1idtFg9YQUSEIWYBPPvmE69aty4GBgRwSEuL0+SIqnMCRsKhXL7WwiIjAPr6vr2rItGoVEge7d7fMVVCSJseOVR+QEyfCNOvwYfXX/rhx2g9QZa5hw5wve7x7FxUuQUFqlMVohOlSWh7AzNhOKVgQEZ20bEGY88cfuNc9e5w776efELGoVs12S3K9WHtWTJ4Mt9Vz5/SdP3QoolQzZ0LI9esHHwrnO5W6XTRoDREVgpAF+PDDD3nmzJk8btw4ERVPAz3C4p13YE5VujSExauvQlgovgKrV0MsdOliGQkID8f5I0bgOomJ+BVepgyajs2ezamSPu0xfz6iIt26Od9NNC4OHTx9fLC1EBGB9Zv3NnGVGzfQ9j0oyLZ1ubMYjaiyuXfP+XOPH8d2T0hI2tdiLt4OH9YWFUqLeoMB0RZzwTZhAsqLb992JtrkdtGgNURUCEIWYsGCBSIqnhZ6hUWxYnhoXbqEzpM+PtgGYIbA8PVFJYD5Q19pd64kdZ4/j1+vDx7g8/nz8XnfvtpVGatXY20tWzqfy5CczDxoEO5l2jTkdmTPnj5bF48eQWgZDMwzZqRPqaer3L+PbYv0cOF09j7KlkWi6bBhqLxRBOalS/i348iHIzVuFw1aQ0SFIGQh9IqKhIQEjomJeTKuX78uosIV9AiLCRPQyKtkSSQJdu0KYaEk9P32G85r185yH37hQkQZ+vWz/AWsPHSWL8cWSpcu2lGIP/9ELkPDhqow0Yt5B9ahQ9F/YuBA5+awh9GIhzgRBJSz0RRrpkxBPokrKC6cXl4oEzWv5MgolO82R47URlhHjkBw9uvnzIxuFw1aQ0SFIGQh9IqKSZMmMRGlGiIqXMAZYVGiBIRF9+4QBErvjT/+QJVIq1aWrbsV4dCjB349HzyIX69KZcbatbhemzbaLb/374dJ0vPPu7JXDy8ILy+cT4TGZunFggV4gDZtqjhDusa77+K7d1Y4mbNzJ+yvCxRwPkfDFc6fx/epmJwpkY6ff8b3PXw4XuurBHG7aNAaIioEwU3Ye/CbjyNKdv7/I5EKN6FXWJQoAXFx4QJ6b3h7q2ZVW7YgabBFC8u9dSX3olMnJFCWLo18BCWqsXkzzmveXNur4eRJPDDLlmW+etX5+1y7FtcqV06rBbfz7NqFKEjZss43SVO4eRPixNpMzFkiIxHV8fZG8mRGb800aICcCoUbN/DvxmCwtAPXxu2iQWuIqBAEN3H37l0+c+aMw/HY6tep5FS4EVvCIijIUli8/Ta2QYoVQ8SiTx/8GlV+pW7bBrvt5s0t8x/Wr8d8bdsiWuHnB9tvhZ07IWIaNNBu4nXhAoRNkSLMZ886f59796KZVZUqaauYsLe2cuUw/19/uTZH7974ftPanTQpCc3giJALY+00mh4oa1yzBpU9JhOiVkquSYkSqsCUSIUgCE8bERVuRo+wGD8eiZvKNka/fhAWS5Zgjp07cU7TppaRh02bsEXSooVaLmputHTgALY3XnhBewvhxg00QcuTh/nYMefv8/RpPPh9fNJ3G4QZFRzNm2NuV8ypFAdQ806iaeHXX5HzUK4c86lT6TOnNbGxSNodNQrRER8fREqUnimK+NAWFm4XDVpDRIUgZAGuXr3Kx48f548++oizZ8/Ox48f5+PHj/PDhw91nS+iIh3RKyxKl0bJ6fnzzAMG4Jep4gq5ezciD40aWf5CViIZL74ILwvzZlbMEAi5cyOKoJVoGB0NE6rgYNc6eG7bhnvJlg35GulJUhKqIZTojrPOknr9IZyZr3Jl3KtWgzdbmK//8WOIvq1bUZ7bty9z/foQmQULIhl2wwZ1e8lotIw+Od6Kcbto0BoiKgQhC9CvXz+bORd/6Qwhi6hIZ4xGbG1oCYsyZbANcf48qh8MBiQtMuNXao4ceOCY/70okQxFcMTHW1ZNnD6NJMNy5ZivX3e8zthYREQCAxF2d5aBA/HLOjAwffwmzDGZYFNuMMA8TE9vD+vz0/Pf86NHqlgcOdL5SpXr11Hp8fLLsGlfsADeGlu2IHH2998xt3lH1/h45o8/Rsltjx56WqW7XTRoDREVguABiKjIAPQIi7feQmJi4cIQFkOHWnYlPXgQpkx16lhWNOzbhwhDnTpwg3zjDctrX7iAKEiJEjCtcsTjxyhn9fFxvsNpVBTWUaqU2scivfntN0RtqlfHto1e2rVDlU16YjJBCPj54bu/dk3/uefOQUQaDOhmu3Gj5edJSfg7GzIEr//9F3bds2bhda9eqY3HUkct3C4atIaICkHwAERUZBC2hIVSFVK/Pv775psQFoUK4cEzfDjeVx7QR44gf6FmTUvHyMOHkUNRtCiO//VXy2tfvYotlkKFtBMyzTucOisMvvwS2zevv451fPRR+ldLnDyJiE7BgsiZ0MOsWYiiOPPg18uhQ/jec+fGNoYzjByJ71kxNzOvounbF9GpuDiISKWD6dq1+DdSpw7+jWzdahmFUbdX3C4atIaICkHwAERUZCB6hUW5cnhonjundhr9/nvMcewYyi2rV7dMwjx2jDksDOIiKCi1eIiMREJm3rx4MGutc+RIXNeZDqeKgDCZ1KZoQ4emvfrCmshICKts2fCQ1eLhQ4ixtHRXdcTdu8yvvKKWfWrlfZh/H5s3o7TXYIDvx44dzEuXomyYCH9WWLQI9xESgojUzz8z//gj/rxzp/VV3C4atIaICkHwAERUZDCOtkLMhUX58hAWZ8/iYUjEPGcO5jhxAr+Mq1XDA03hf/9DFYe/P4SJdUfRqCg8uEJD1a6j9khLh9P589HafcECRAg6dEh78zFr4uPhIGowME+frr2+KVPwvTizbeIMKSmq22ibNtq9R4xGdc2PHmF7xmDAGgcMQGRixgz8nd6+zfz11/guX345dTLttWvYRlOa1AG3iwatIaJCEDwAERVPAb3CokIFJFqeOYNfo0RoIsasCogqVSzD5mfO4P1ChWAAZc39+widBwfDZ0ILpWT1tdf0dzgdMAARkzt3kC+QLRvuKy0OmbYwGpnffx/rGzjQccLkgwfMlSrZ+kWfvmzcCNFWooS+El3zqMXChcyjR1tW8iQnY2vExwe5FIqDKrP69xERAcOs6dPxGr4meBYTebGTD/unNURUCIIHIKLiKaFHWIwbhy2L/PmRrDduHN7/5hvMcfo0QueVKlmWjZ4/j4TP0qVtN6GKjWVu0gQP+23btNeqdDjt3j119MMWd+9ii6ZPH7w+eBBbMxUrZkxew+LF+P60rL2fVqOyiAhsTwUEoKW6Frb6uTDje6xaFfdm3fdDOe7WLZTcennBt2TFCmxZEfVjVVgY2IWHfkYPERWC4AGIqHiK6BUWlSpBWJw+jfJTIkQQmLE9UqAAtkvMO4ZGRCBiQcT8yy+prx0Xh4eQvz9KGLVYvRq2161a6etwOn8+rr1jB16fOwf3zkKFEGVJb/bsgXDRsva+epV51ar0v741jx8jwkCEKg6tfizWJCQgn8ZggEC7fx/vm0djHj+GT0lQEMpM9+yBO+vdu8xEo5hoPhPl50wgIGwNERWC4AGIqHjK6BEWY8fCcClfPjg5Kt08Z8zAHOfP42FdtqxlzsDFi/i17O1t25QqIQGt1n18bAsPa7Zs0d/h1GiEVXjPnup7kZH45Z0zJ/p7pDcXL0JcObL2/vhjCClbW0MZwfz5uF6NGsyXLzt37qlT2O4igmAwj2gcPIgtjxw5UGVjDZEfE21kolc5EwgIW0NEhSB4ACIq3IAjYdGgAf77xhvIn8ibF7/0332XLaozLl5EaWOpUpZbDMeOQVT4+dmOECQl4Veulxe2EbRQOpxWr67dSCwqKnUexoMHzM2a4UFrXfqaHty/j1/vvr62tx4ePMD6R49O/2vb49gx5FiEhuo3FlMqSIxGRHgGDVLfW7cOIiUoCN+h4rSqNJZLSWEmas1Ej5hoAmcCAWFriKgQhGeY8PBwrlChApctW1ZEhTvQKyyeew7bGv/8o1ZnTJuGOS5fVtuqmzsurluH44KDbQuLlBQ8tAwG5h9+0F6r0uG0fHl9ORKHDlkabyUkMHfrhut9+632+c6SlIRSVqUjrHWJ59OOVjCjGqR1a9zzpEnO2Y1PnozS40ePsJ0UFIRmdPYEyrJlzESnmOgSEwUxc6bMqxBRIQgegEQq3IgeYTFmDLYQFGExeTLeV9piX7midj81f5CvXw9Bkju37cZfRqNauvrVV9prvXAB11B6ltgjORlCp2VLy0RJoxH3QoQKjvROojSZYMZlMKDTp3keiDuiFcy45ylTsKYWLdBzRQ/XrmF7KjkZ/U/atrXc3lEESmwsRFpwMDPRGSaqyplUULCICkHwDERUuBmjEZn+WsKiWjUIhJMnsaeuOFgyo7dE6dJwnjQvQfzvP0QXgoOZ//479bVNJvyyNxcpjrh+HfPly+e4Q6kSKbHO2zCZlEoFlISmt0kWM8RUUBC2C8wjE2vWZFynUS22bEFSabFitv8etDBP+lQSN0+dQv6KwYCoE1EthqDw5kwgIGwNERWC4AGIqMgE6BEWo0fDyCosDA/0Tz7B+5MmYY6bNy0tv5nxEK9ZE/MFB6NFujUmE7YHiJC3oRVBiIrCAztnTssGWNa0a4cKFlsln4sWIVm0TRt9lSXOcvw4vofChfFnc55Wmak1V66gNb2/P/O8edrHP3zI3L49HDitUfIuSpc27wnidtGgNURUCIIHIKIik6BHWIwahYTJsDA8LKdNw/sffICH5a1blgZazCipDAuD1XP27KgqsMWMGWpUROvBGxODTqnZstn2xWBGVUpIiH2r7E2bcH7duvq3BZzh5k01uVFxnjx5EltJTzO3wpyEBLWt+8CBjl1HTSb8Xb/ySurPjh5lrlXLshcKUXcmKsiZQDzYGyIqBMEDEFGRidArLGrUgJfBsWPqdoISZbhzRy1HVZwad+1CRUjhwniQK14S1syZw098FrTcNOPjkYjo62u/PHXXLsfmVIcOYUunfHk9rb2d59EjlNAaDPD5uH/fPbkV1ixYgNLf6tUdd5JdsgR/H+aOm8zIEeneHX/nn3+uiMtRnAmEg6MhokIQPAARFZkMW8IiWzZLYTFyJELpoaH4tapEGZSeHVFRllUjzMzh4YhgNG2KB5q9CMOCBSg37dVLO+fBvDxVadlui8hI+z4X58+jeqVgQXWt6YnRiGRHxXp80qSM7Qmil+PHkWDrqOw0MRFbSMOG2f58zRpz/w88izNpkiaLqBAEz0BERSZEj7AYMQL5EqGhSP5TenaMHw9hER1tmYNhMuHB/vgxIgx+fvadNVeuRM5Dp06O+2swI6Lx2mts4fppTlISEhQHD7Y/x61bSEQNCckYkyxmdPf08YGoypUL2w/u5t495JUYDKjqsVV2OmUK/o7NkzVtRZEysZhQhogKQfAARFRkUvQKi1q1ENI/cgQ9QhSrb5MJD60XXsBDVNl/v32buXNnlHz6+uLXri02bMA1W7XS7jhqMjFPnMgW+R3mfP89PvvzT/tzxMSoJlmrV+v+mpxi+3Z8V/nzI9ExI5JEncW87LRly9TbRffvY0tLG7eLBq0hokIQPAARFZkYPcLi9deZa9fGw/LwYWxzKMZZJhMeSorwOHwYSYr58yNBsksX5FrY643x55/MgYF42D98qL1eJb9j1CjLX90mE+YoWlR1g7RFQoLaEjwjTLKY0TulVClsDTmqXnnabNkC8Ve8uO1up3FxWttRbhcNWkNEhSB4ACIqMjn2kjcNBvTkIGIePhztzUNCkPz47bf8pAxV2faoW1ctK92/H/P07w/zLS8vJAXaYtcuVI3Uq6fd/4MZDp0GA+Y1fwhGRGDdI0Zo36/S9j0jTLKY0YCrYUN8B3r8OZ4WStmpdbfT6GhsY61Y4ehst4sGrSGiQhA8ABEVWQBHwkKJWLz2miocDh7Ew13ZIjGZECFo0AANqfbtg1eE0qRs4EDMZS/Z8tAhRDpq1NBX/qnkZHToYJkL8MsvKOvUwtwka9CgjDHJSkhAhQwR84cfus+/wprHj1F9QwTrcaW/x4svIiJlH7eLBq0hokIQPAARFVkEvRGL+vXViMS8eer7RiO2MBo3RuRh926UJP7wAz4bPhzHfved7esfP47yz8qVkZehxcaN+MXdrFnqLY+EBO08DWbVJKtt24zJfzhwQP0+e/Z0vl15RvLjj8gvqVkTXiO//YZ12jIwA24XDVpDRIUgeAAiKrIQ9nIszIXFa6+pEYn9+xF9MBjwq9dohHdDs2Y4z7yfxIMHam+Ob76xff1//0VZatmysOzWYtcurKN2bTUB0WhEjseYMfruedMmiKeMMsnq1g3VFf7+EGRanVifJn//jcqZsDA4a5YujfXaxu2iQWuIqBAED0BERRbDkbBQtkKGDYPIyJ4dWx0LF+LzwYNxflwc80svIQlz2zY0FCtVCrkGiqfDF1/Yvv6FC0i4LFHCsXGTwt9/qxGOyEi8N3Mm1qO3fFQxyapQAb/a05NLl1AFM3Qo2syXLKm6kWYGoqPhqmkwoPy0YUN720FuFw1aQ0SFIHgAIiqyIHoiFkOHwko7e3bmvXuZFy/G5wMG4PzHj9E5MyAA2wy5czM3aQJfivffZ4dNxq5exa/mQoVQTaHFmTNw8yxZEkIkJQVrK1pUX/InM/qZFC+Oa9pq554Wli9HkuTly8yVKiHhddu29L1GWkhJQd4HEXqq3L9v6yi3iwatIaJCEJ5hwsPDuUKFCly2bFkRFVkRPRGLoUORQxEUhByKpUtR6dGvHx5UCQkwwvL3R2Kkry+iHOZNxuwlMUZGMlesiF/3epwwr1yBEClYELbTly9ja6RPH/33HBmJ3h05c+J+0puUFIicl19GLoeexl9Pk99+w70XKoRkXEvcLhq0hogKQfAAJFKRhdEjLIYMQQQiKAjbDcuXQ1j06aMKi/btce6oUThn+XLMr1RgTJhgW1hERcEJM1cumG9pcesW7MPDwuCZsXKl/b4h9njwAK6Y/v7Ma9c6d64jTp1C/sLp09heUFxCx4+37XTpLvbuxbp8fZmXLTP/xO2iQWuIqBAED0BERRZHj7AYPBgP4qAg5p078TD39lb7eyQmMr/6Kh5UY8daVmZ89RVbmGlZc+8eEjGDg/HA0+LePSRdZs+uJoqaTM5VdyQkMHftCnH0/ff6z9Oas0QJ5C0oa/rqK3yPHTtmDvdNhQ4d8P0pRmOwUne7aNAaIioEwQMQUfEMoJVjYTDA78G86uPnnyEsuneHsEhKgsOmjw9ssk+cUBMWle6lr79u+1d7bCy2WbJlgxW2Fo8eIVHU3x924KNGYcvBmYiA0ahGViZNSh+fiVWrMJ95F9cNGyDGXnhBTTR1N8eOYZ19+0II1q/PnAlEg9YQUSEIHoCIimcEPcJi4ECYKCntz3/9FSKia1cIi+RkdB319mYuUwaJlUqJ5bx5lhUk1sTFQRj4+8OjQouEBERHvL2xvULEPGuWc/dsMjFPncpP8ke02rXrma92bbQkN7/H48eRx1C4MMRWZqBdO/wd7d6NPJVMIBq0hogKQfAARFQ8Q+gVFs2bo5x0+3bkJfj4oMlYUhIezIp1d3AwfgUrplCLFuH9vn1tP8CV/AxfX31NwZKTYRVuMCDvIyAAOQ3OsmABxEmHDvpMtRyxdy8qQG7etHz/5k2IjezZ7Xd3fZocPYrOpvHxihmZ20WD1hBRIQgegIiKZwyjEQ9qR8JiwABsPwQEoHRy/XoIgVdfxf58Sgrm8PKC4OjZU91eWLHCctvEmqQkfObtbb+fiPV6lV4fefMi8VOr3botfv8dQqlBA+RtpAV72zCPHiFC4OXlfFQl43G7aNAaIioEwQMQUfEM4khYNGiA//bvD1OlgADmrVtRrujnh1/7iYmYY/BgHBsUZGl0tXo1xEanTrYFQEoKhIvBwDx3rvZ6TSbmjz7CWuvWdU1UMMPCOlcuRBr0OH464p9/mL/+OvX7KSnMb76JtY4cmTF9SfRiNMJqHVEht4sGrSGiQhA8ABEVzyj2hIWXl6WwUAywtmxBLoSfH36NJyRgDqW00locrF+PY9u2VZteWV//9ddxrq2Hsy2+/pqf5Ee4Wm1x5gxMtYoUga24q8yahe/o8GHbn3//PaIxrVo5buee0bRqxVy+PHMmEA1aQ0SFIHgAIiqeYfQIi379mFu2RILl5s3oteHvj9LKhAREEUaOxPnVqjHv2aPOrxzbooXtXAaTifmtt3Du1Kn61qxYimfPDttwV7h5k7lKFfT02LfPtTmSk3G/L7xgPwF0yxbknTz3HPO1a65dJ60cOvT/j2v3iwatIaJCEDwAERXPOCZTamERGAhhoeRY9OuHX7z+/hAKW7YgetGqFZI0zYVFUBDzxYvq/Nu2Yb4XX0TOga3rT5qEc99/X1/p57ff4viCBV2PWNy/DyvwwECUhbrCvn1YhyMvjFOnYB+eP78+A7CMoEUL5kwgGrSGiApB8ABEVHgAjoRFgwZqRUfr1vjsjz+QZxEQgAeWIiyU7Yy8eS2TIXfuhNho1Mj+VoDizjl2rD5hoZSZlivH7Oq/zceP1bLVH390bY4BAyAaHOVO3L7NXKcOvtM1a1y7TlpAO3S3iwatIaJCEDwAERUegh5h0acPciT8/JBfoUQhXn4Z2xsmE2y/idDHIylJnX/vXvTyqFvXfpOw2bP5SXt2PUZXrVrh+IoVXW9JnpKi5oV88onzJlnR0fpMr+Lj4fdhMDBPn54+ZlzO4XbRoDVEVAiCByCiwoPQIyx690aipp8fKkJ27EAeRvPm2IowmSA+bOVJHDqEhlc1a9ov65w/Hw/evn21KycePsSDOk8eJCO6WtFh3iBtxAjXTLLu32c+f97xMUYj83vv8ZOeK+aiK+Nxu2jQGiIqBMEDEFHhYegRFr16qSZWGzZgeyNbNth8KzkOkyfj/DFjLOc/ehRlndWq2U+0XL4cWxJdu+p78J4/j2qOYsWYL1xw/d7nzsX9de6sGnrppUUL5uef1ydIFi7Ed9e8ub025RmB20WD1hBRIQjPMNL63IPRKyw6dMDDcf162EEHBcH5UknIHDYM53fsaBnuP3kS0YUqVZjv3LG9hjVrMHfbttoP+GvX0Nm0UCHmfPkwv6usW4dckSZN7G/T2OLgQdxreLi+4//6C9UnFStaenxkHG4XDVpDRIUgeAASqfBQ9AoLpXvpunXIm8ieHQmZDx9ijurVcX7v3pbC4vRpVERUqGA/J2HTJjzgX3rJcZWHyYR1BAczV66MLZb9+12/9z17MEfVqs41CRs8mDkkxL5QsubsWeZSpSCw0rJefbhdNGgNLxIEQRCeTQwGop9+IurfH6+TkoiMRiJ/f6IDB4jq1SNauZIoMJCoXTuizp2JoqKItmwhOn6cqGVLokePiA4eJCpThmjpUqKhQyFRiIgqViTatYsoNpaocWOiGzdSr6FFC6JNm4j278efY2Ptr/XHH4ly5iTKlo2ocmWi5s2Jtm1z7d4bNCDau5coOhr3ef68vvOmTSPy9iZ6+219x5crh++nXDmipk2JVq1ybb3PCCIqBEEQnmXsCQs/PwiLunUhLPz9iTp0IOralej2baI//yT65x8Ii8ePiY4cISpQAA/+8eNVYVG2LIRFYiKExdWrqdfQpAnR1q2Y76WXiO7ds73W0FCiFSuIjh6FEGjcmKh1a6K1a12790qVIGYCA4nq18c9aJE7N+5x6FD918mdG+Knc2ei7t2Jpk5Vvx9Pw8nQhiAIWRDZ/hDsboV4e2MrxNsbLdG7dkXPj9WrUekREoIS0pgY5hs3VC+KMWMst0KuXGEuUQL22ebGWeYcPYq8iapVHW8vzJ3L/Pff6A/StSvWtmiR6/f+33+4h6AgOIrqJSXFub4fJpOa3Nq/v+v9Tezj9u0NrSGiQhA8ABEVAjPrExbduzN364Y///wz+mLkzAnjJyXpccoUnP/665bC4vp15jJlkGx57pztNfzvf0jELF8+detxaxITUV2i+GakpWtoXBxsyX189HVWTU5mrleP+bPPnL/W0qX4bhs3hqBJP9wuGrSGiApB8ABEVAhPsCUssmWzFBbduqmtzVetQtQgNJS5Vi2UT27eDB8KpTGYuclVZCQSN/PnRyKnLc6dYy5cGAmOV67YX2vbtjDlSklR+4tMmeK66VRyMtwziZhnzNA+/q23YGtuTyA5YvduRGXKlk1biawlbhcNWkNEhSB4ACIqBAtMJvXhaktY+Phg26FHD7y3ciW2LkJD0Xzr3j3mH37AuQYD86BBlsLizh2UmubJY7809PJlbJcUKWL/obtlC67x2WdY86ef4vWbb7ouLEwm5okT1XkcuX7GxUH4NGyozx3UmgsXICrCwiAy0o7bRYPWEFEhCB6AiAohFXqFRc+eKD1dsYL5+HGYXlWvjrD+O++owqJ/f0vTqLt3YY6VKxcEiS1u3EDfjwIF7Ec1JkzAmpSHcng4rjlokGuumQpK2/PevR2bc+3Yget9+61r1/nvP/hl+PlhWyRtuF00aA0RFYLgAYioEGyiR1h06QIvCy8v5mXLmE+cwC/vatXQq2PQIOZx41T7b/MH/b17sPPOmRNJn7a4fRtRjdy5IVqsSU6GZ0aBAmrTscWLscYuXdKWDLlqFfw5XnkFnhz2eOstXNNVEhPRJZYIiZyu9wxxu2jQGiIqBMEDEFEh2MWWsDBP3vTxgeV1nz4QDkuXMv/zD7Y2qlZVbbpXrFATPc0rJh48QMJjjhxoM26L6Ghsq9gTH5GRqZMr167FWlu0cL11OjMaquXIAfHjakMzPZhMaHammIglJLgyi9tFg9YQUSEIHoCICsEhjoRF/fqqsOjbF8JiyRLmU6fQHr1KFTyMJ02C0FCiG+ZbCrGxiDYEBTHv2mV7DQ8e4Fo5cjjOPzCPZmzbhjkbNHDOjtuao0dxL2XKINfDFsnJzAMHIlqTFlasQPJnw4YQU87hdtGgNcT8ShAEwdMxGIjmzycaMACvzQ2yDh4kqlOHaP16org4or59MY4eJfrrLzhwNmtG1L49ji9ShGjdOqJu3TAPEVGOHER//EFUuzZcNbdvT72GkBCizZuJatYkeuUVmGVZs2UL0fPPE/3+O16/+CJMp06dgptlVJRr91+9OkyyTCaYbv3zT+pjfHxw/6NHE92969p1iGCOtWMH0ZkzMB67cMH1uTIjTqoQQRCyIBKpEHShFbHw9UV/jgEDkOS4cCHzmTMoH61YEQ22goPR6dPPD+3VzcP88fHYrggIQE8QW8THM7dqhfM3bLD8zGjEnDlzWjbwOnkS3hflyqExmavcvo0k1OBgdG215s4dJJ726OH6NRQuXsR6c+WyH71JjdsjEVpDRIUgeAAiKgTd6BUWAwdCWCxYgKZaBQrAn2L1ahwzbBjC/K1bW3YoTUiA/4Qt0aCQmIhr+PjAgMuce/dQilq9uuW8Fy6gbXrRomij7iqxsWhn7u/P/OuvqT9fsgTfi721O8O9e8xNm+L70mPIlQlEg9YQUSEIzzDS+lxwCT3ComNHdPQ0GJjnz4dBVMGCcMrcuBFVIJs3IyrRogUiEArmosHWg5sZOQxKOat15cXRo3joT5tm+f7167h+WlunJyYi4dRgYP7uu9TfTevWzB9/7Pr81tdSvutJk7QqQ9wuGrSGiApB8AAkUiE4jSNhUa8eXnfooAqLH39EhKBQIRg+3byJ7ZCxY3GedevzpCTVtXPFCttrSElR5//hB8vP9uyxXUERFYUoRlpbpxuN6G9i62GfFn8MW5hMzFOn4lq9ejmqDHG7aNAaIioEwQMQUSG4hC1hERCgRiz8/Jjbt4dVNxHzvHnIFShSBJUUQ4ci0jBlCvwvmjVjfvRInT8lRS1VtecDYTQyjxqF+b/6KvXnx46hEsWcBw9QXZEtG/PWrWm7/88+4yd25OZiIiWF+euvbedeuMqqVYjANGiglupa4nbRoDVEVAiCByCiQnAZR8JCiVi0a4ccCiJEFC5dQm5DqVLMLVvi+DlzUP7ZuLGl0VRKCgy0lG0Ue2uYMAHzf/qp5fu1aiEyEhtreU5cHK7t58e8Zk3avoMFC3C/HTuqeRxGI4RV6dKWWztpZf9+lOaWLm2r54jbRYPWEFEhCB6AiAohTZhMSMy0FhY+PpbCYvhwfP799/B7KFYMSZU1a8KFc/ly5uzZ8UvcXAQYjeq51jkM5mv4+GMc89576nbEuXPwtujSJXU+QmIi3k9r63Rm5t9/xzZOo0ZoqsaMBFV/f+a3307b3NZcuoTckNSVIW4XDVpDRIUgeAAiKoQ0Y0tYBAZCWNSvj4dr27Zoh670yrhyhbl4cYiLRo2wTXHgAEo269a1NKwymdQchm++sb+OGTNwzNixqoj45Rf75ymRECLm2bPT9h3s348HfZUqatv2qVOxfWPPhtxV7t3DdpFlZYjbRYPWEFEhCB6AiAohXXAkLOrVg7Bo04Z55Eh8PmcO89WrzCVLQlhcvoycir/+QiKl0krdfP7x43Hu9On21zFnDo557TW1e+gbb6D6xJZlt8mE/iREsMp2vfcG87//ImekWDFEKpKSYDE+dKjrc9ojMVH9vidNYs4EokFriKgQBA9ARIWQbugRFq1bq8mV4eEwpCpVCnkWjRoxv/gifvWHhjLXqIFOnubzv/++KgDs8dNPiBD07Yvy06QkdD11tO4pUzDvW2+lTVhcv85cqRK2dA4dQlKlK63R9WBeGZIJRIPWEFEhCB6AiAohXdEjLFq1UrczZs3Cg7hMGfTY8PNj7tYNfhNhYXDgtO6DoeRPfPihfQGgNDHr2lXtNfLff4h22CvLnDUL8w4enLbS0P/+w7ZPtmyqO+j27elbDWLOypXMmUA0aA0RFYLgAYioENIdLWEREABh8cYb/CTf4cYNVGqEheG9MWPQSj13bubnnkvdJVQp55wwwb6wULqVtm2LyowjR/B62DD7a1+0CFGOrl3T1jo9Lg7X9fHBnM2bMxcubLmlk764XTRoDREVguABiKgQMgR7VSG+vqqwaNkSSZWKz0RkJHpehITgvb17mf/3P0QwKldGfw1zZs7kVImZ1mzahGspBlvz5+OcuXPtr33NGqy3Zcu0tU5XupcSYdsmJAStzTMGt4sGrSGiQhA8ABEVQobhSFjUravadCuJkjNnMt+6hT4huXMj2ZEZCZBKY7JbtyyvER6Oc0eMsJ+78Ndf8MFo1AjlqsOHYy0HDthf+59/YvuiYcO0tU43mZjffRdrbNkS//3lF9fns4/bRYPWEFEhCJmcy5cv88CBA7l48eIcEBDAJUuW5A8//JATnQjbiqgQMhQ9wuKVV5AgScT85ZfoCFqxIoTEBx+gX8jZs6jgKFdOLdlUmDsXBllDhtgXFvv3o1y1dm3M36gRPDMcsW8fKlFq1LDnYqmfWbOwxiJFYBWelmRQ27hdNGgNERWCkMnZtGkT9+/fn7ds2cKXLl3i9evXc968efnNN9/UPYeICiHDMZlUPwhbwiIwEMLi7bfx+RdfYKujcmUkdgYEMB88iG6jhQsjqdO6mmPhQjy0+/Wzn2T599/wkqhWzTLi4egBf+IEtl8qVHBcQaKHlStxz82bWzqHpg9uFw1aQ0SFIGRBpk+fziVKlNB9vIgK4amgR1i8/LJquf3550jOrFwZx4SEIFphbvN97ZrlNZYtQ8VHz57IZ7DF//6HTqUVKyKHY8oUeGc44tw5RBiKF0f/krSwdSucQ6tWZV66NG1zWeJ20aA1vEgQhCxHTEwM5cqVy+7niYmJFBsbazEEIcMxGIjmzSMaNAivk5KITCYib2+iv/8mqlaNaM8eomPHiN55h2jCBKKffiL66y+icuWIHj0iatKEKCCAaNcuIqORqHFjoitX1Gv07Em0ciXRzz8T9ehBlJyceh2VK+P8mBiiRo1w/fBwogUL7K+9bFmivXuJ/PyIGjQgOnXK9e+heXOinTuJzp8n6tMH9+wpOKlCBEFwMxcvXuTg4GCeN2+e3WMmTZrERJRqSKRCeCroiVg0b848cSI+nzoVPhWVKmErROl3ceUK3DiLFkX0wpx16zBf+/b2PSkiItB7pFgxlI/6+zMfPux47bdvI8IQGpp26+3jx1Fu6ueHP6cdt0citIaICkFwE/Ye/ObjyJEjFufcvHmTS5cuzYMGDXI4d0JCAsfExDwZ169fF1EhPF3sCQs/PwiLbNlQAqpUTXz6KQylqleHj8XmzfCduHYNHTuLFEG+hTkbN6pGW0r3UGuuX4c3RsGC8MIoXDh12ao19++jJDZ7duYdO9L2Paxdi/sLCLBuDuYKbhcNWsPAzE4FNtIvRiIInk10dDRFR0c7PKZ48eIUEBBARESRkZHUtGlTql27Ni1cuJC8vPTvXsbGxlJISAjFxMRQcHBwmtYtCLphJhoyhGj+fLz28yPy8sKWSI0aRCdPEtWrR1S7NtGnnxJNmUI0YgS2D06cwNbH1q1Et28TNWtGFBdHtGMHtioUtm4lat8eWxbr1hFly5Z6HXfuYM5bt7AdsmgRUY4cjtceF0fUsSPR7t1Ev/xC1Lat69/DmDFE336LbZiVK4k6dHB1JoPri3hKOKlCBEFwAzdu3OAyZcpw9+7dOcUFa2FJ1BTchq2Ihb+/ZcSieXOUlRLBnvv+fVR/EDF36IA5IiNRnVGgAPOZM5bXUDwqmjSxX3ERHY0oSGgotkD0lI8mJDC/+ioSQ5ctc/07ePwYHVo7d4aTpyNTLse4PRKhNURUCEImR9nyaNasGd+4cYNv3br1ZOhFRIXgVhwJizp1ICxefBGdOImYJ0+GGVXJknjdvz/muX0beRf58jGfPm15jT17mHPkQD8Oe//O79+HkMmeHWPRIu21Jyfj+gYD2rmnhdhY1RxryhRXfCzcLhq0hogKQcjkLFiwwG7OhV5EVAhuR0tYBAUxN2sGQaG0+o6JQZIlEfOvv2KeqCjmKlWY8+RB6ag5Bw6gLLV2bfv9Nx4+RETDxweJngcPaq/daGQePRrrmDbN9e8gPBziZPBgfuIQ6lzk0e2iQWuIqBAED0BEhZAp0CssPvqIn3QoffAA2xbBwarl9t27MLfKnRvGVeb8/bftlurmxMfDL8NgwLF6DK9MJqyHiPmdd1xzy0xORgJosWLMX3+NrZAuXexXr6TG7aJBa4ioEAQPQESFkGnQIyyaNlVbn3/wASIW9esjsjBjBuZRKkVy5WI+dszyGkrn06pVU3c+VUhIULciKlfWv/4vv8Q5r71m3y7cEZcvI5rSrRuiL/7+EFL6/t90u2jQGiIqBMEDEFEhZCq0hEX27Nii+OQTfP7ee8z37qkt07/7DvPcu8dcsyZ6d1iVXz9x1axUCbkYtkhKQrMzZxMxf/wRUY6ePTGHs/z8M+5j/36UmYaEMD//vP11qrhdNGgNERWC4AGIqBAyHY58LMyFxaef4vOJExF1UFqmK0mWDx7g+JCQ1PkRZ86gWqR8+dQNyhRSUtREzBEj9K9/1SpETtq1s++R4QhzM6yTJ7HOUqW0LMLdLhq0hogKQfAARFQImRI9wqJxYyRHKrkM169ji8RgUJM3le2R4GD8+jfn/HkYXpUunbqPiILRiI6mROiCqpc//sB6mzVDZYcr979sGUTJ5csw6cqXL/V2jorbRYPWEFEhCB6AiAoh0+JoK6R2bZSJNmqkCou338av+eLFUYr611+YJzaWuWFDCJE9eyyvERGB40uUwMPbFikpEB5EzGPH6l//rl1YY+3a9hND7XHpEu5zzBi8jorCdk6OHMzbt9s6w+2iQWuIqBAED0BEhZCpMZnUMkt7wqJhQ3Q1JWIeP545Lg423/7+zBs2YJ5Hj5DkGRTEvHOn5TWuXsX2QtGi9rcYYmPRAl25ht4Kj7//Rr5HlSqW7db18M03uN7vv+P1w4eoTPHzQ+6FJW4XDVpDRIUgeAAiKoRMj8mErQctYTF9Oj5/802Ulvr5oTRz40bMExcHh87AwNS/9m/cYC5XDn1Azp61vY7LlyFKnBUWp09j3lKl7EdD7N1369aoVomMxHuJiUgCNRiY58wxP9rtokFriKgQBA9ARIWQJbAnLPz9ISyCg5kbNGD+4gt8Pm4c85YtEBVeXshxYFZ9KAICmP/80/Iat24xV6xo25VTITpajSCMGKG/dDQiAi6ghQunthJ3RFQUEjXHj1ffMxqZ33iDn/h1QNy4XTRoDREVgvAMEx4ezhUqVOCyZcuKqBCyBnqERf368KsgwoN31Sr82dtbFRaPH8OHwt+fedMmy2tERaFjaZ48qLywR/fuiBYMHKjf+TIyEmWsefI4SrhMzYULMMey/i4++wz3NmwYcyYQDVpDRIUgeAASqRCyFI6ERa1aqrCYOROfjxkD7wqlckTZCklIYG7TxvI9BaXBWK5czEeP2l7HqFFqFKRHD/2eFNHRSLgMDk6dNKrFvn1oeGbOTz9BMGUC0aA1RFQIggcgokLIcmhFLEJCYHmtCItRo5Bj0b49jv3tN8yTmIj3fH3VhE6F+/chUnLmZD50KPUakpPR6Cx7dvQK6dhRv6V2bCx8NgIDmTdv1n/P9eujSuXBA8vPsHa3iwatIaJCEDwAERVClkQrYhESgq6jX3+Nz0eORFlnWBh+2a9fj3mSkpg7dYKwWLPG8hoxMRAnOXIgSmBNdLRaNeLvjy2V+Hh964+PR6TE15d59Wp951y6hLX06GErSdTtokFreJEgCIIgZEYMBqIffiAaMgSvk5IgL4iITp4kKleO6N9/iVatIvrmG6LwcKL33yfq0IHIaCTq1Ilo3ToiX1+iFSuIOnYk6tqVaPVq9RrBwURbthBVr0708stEu3dbriEsjGjDBqKqVYmWLyfauZOodWuiR4+01x8YSLRmDVHnzrjuggXa55QsiXtesYJo8WIdX1Imw0kVIghCFkQiFUKWxlbEQnHfrFkTEYs6dZhnzeInzb5efRW5EN7eqvNmcjIiAN7ezCtXWl7DvBR12zb7a9m0Cdsh9eun3qKwR0oKEi2JEFXRQ//+KH+1TN50eyRCa4ioEAQPQESFkOVxJCyUvIjatZlnz0bFxpAhsM/28YGI+OUXzJOSwtynDwSHdROx+HhsbwQEpK4YYUbDrwIFmN99F9d74QX9LpomE9xAidDaXcv/4uFDbL1Y4nbRoDVEVAiCByCiQngm0CsswsMhLAYMYF6yRI1OrFqFeZQmYl5eamMyhYQE5rZtMa91YqfJhCiIjw/zvHkwrKpShfnOHf33MHUqP/HY0GOsdfMm89y5yiu3iwatIaJCEDwAERXCM4PWVkhoKATGt9+qEYvERCR0enszr1iBeYxGWIMbDCjZNCcxEYmdPj7q1olCUhLswUND4YmRPz+6oN64of8ewsOx9kGDtP0vZs/GsVL9IQhCZkFEhfBMYTIxDx3qWFjUrAnvCoMBUYmiReEbYb7tYTSquQ5qNAAkJ8P8ylb+xf37EBLPPQe77yJF4KR55Yr+e1i8GHN37QoR4+he27fHPWUC0aA1RFQIggcgokJ45nBWWHTuDJfLXLkgLJYsUecZMQJzfPed5TWSk9X8C+V4hYsXmQ8cwJ+vXIGoKFIErdb1snYt1tyyJRJF7XHvHrqsZgLRoDWkpFQQBEHIehgMRN9/TzR0KF4nJeG/JhPR//5HVLo00aVLRPPnE333HUo769UjSk4mypuXqG9fokWLMM/s2URjxhANH46yVAUfH5SB9u+P481LQkuVIqpTB/Pt2UO0axdRUBBRo0Yoc9VDhw5EGzfi3JYtiWJjbR8XGkr0yy/OfkNuQUSFIAiCkDXREhYlSxJFRBDNm4fjfvuNqGFDovLliXr3JhowAELBYCD66iuiceOIRo0i+vpr9Rre3jh/2DCigQPhIWHOtm1EffrAV2LXLgiWxo2JTpzQdw/Nm2OOf/4hataMKDra9nEvvODMN+M+nAxtCIKQBZHtD+GZxtFWyAsvYMujRg1UbHh5Mffti4TLPn2wNfLjj+o8StnnF1+kvsbo0fhs1izLzyZOxDxr16LE9IUX7Ft/2+PECea8edFB1X7Sp9u3N7SGiApB8ABEVAjPPFo5FrlyoYHYjz8iQbJHD7Qor1KFLRI1TSbm997De9Ompb7GW2/hsxkz1PeNRlSLZMuGzqQPHsAcK0cO5t279d/DuXPIyyhRAnbdqXG7aNAaIioEwQMQUSF4BPaERWCgGrF4/nnm+fMhLGrWxHG1arFFoqbJxDxpEt6bMiX1Nd59F59Nnaq+HxeHa7z3Hl4/fAjzrcBA5q1b9d/D1avMZcrAZOvUKetP3S4atIaICkF4hgkPD+cKFSpw2bJlRVQInoGWsAgLg7BQ2olXrYrjGjXCf+fMUef6+GO8N2mSpVGVyQRXTCLmyZPVzx4+tDxOcej091e7purh9m2Uq4aFMR85Yv6J20WD1hBRIQgegEQqBI9Cr7BYsADCokIFfD5oEI6fPVudS3HAfP/91A6Yymfvvmv52apVzL16YVskIQEt0318VKtwPdy7h34mOXIw79ypvOt20aA1RFQIggcgokLwOBwJixo1ICyqVYOw8PFBRCEpCfbZ1o2/pk/He++8k1pYzJiBz958U/1s3Tokbk6ciNfJycw9e9r2u3DEw4fML76IvJCNG5kzgWjQGiIqBMEDEFEheCRawiJ3bgiLRYsgLLp0QW+Pzp1x/MyZ6lwzZ+K9t95KLSyU7qijRqmfffEF3lu4EK9TUpgHDoTYsHbvdMTjx3DU9PFhzgSiQWuIqBAED0BEheCx2BMW2bKpwqJqVVVY5M8P0dG7N6eq8lDEwxtvpBYW33/PT9quG434fPBgZl9ftQLEaGQeORLHffON/ntQnD0zgWjQGj7uc8gQBEEQhAxGMcgyGGBclZRE5OdHlJJCdOYMUYUKRFevEn35JdFPPxENGkQUHEy0YQP+/NZbREYj0dtvwxjL25toxAicP2sW5iWCOZafH85JSiKaO5dozhwif3+iEiVwjJcXzgkMhIPn48dEEyZo34OPD9HChRn2FaUnIioEQRCEZxuDAVbdRLaFRfnyRNevE82YAYfNAQNgub1hA9Ho0Xjwm0xE77xD9PrreMgPGwaxER4OsUCE83x9ifr1wzUWLFBtv6OjESvJk4fo88+JsmXDfPHxRJMnq+LEHl5ZwwBbRIUgCILw7ONIWJw9qwqLzz+HGBg4EBGGqVOJcuYkmjgRC8JlWgAADCJJREFUIuK992AL7uNDNHgw3vvuO/Wh37s3hEWvXugLsmQJjn31VbzesQORismT8d933kHE4vPPtYVFFkBEhSAIguAZ2BMWycmqsLhxg+izz9SIRe/eRGPH4sH//vuIWHzwAUSHtzeOSUlBfxBFWHTrBmHRvTvmXrEC2yuNG6Mx2apVOHbCBEQsRo9GxGLWrCwTkbCLk0kYgiBkQSRRUxDMMJmYhw2zTN709UXyZvXq6MFRuTLzsmVqUme1aqqT5uTJ6lxLlqBUtF8/VHiYs2EDzm/bFn4Va9ei+uPtty2PmzsX7w8cmHoOS9yeiKk1RFQIggcgokIQrNAjLCpVYl6+HJ/5+KCfx+TJOP7DD9UKkOXLISx69UKlhjmbNsFnokULOGx+9RWOPX3a8jhFnPToAb8M27hdNGgN2f4QBEEQPA+trZBy5YgiI4k+/ZRo0SIkXx44gATOTz7BVojRSDRlClGPHtgK6dkT7yl5FERELVoQ/f47Udu2GOvXE730ElHFipbr6d2bKCAAcyUkEK1cifVkMbL45o0gCIIguIgiLIYNw+ukJLyXnEx07hxRwYKo2pgyBcLC25tozx6iTp2Ipk+H4HjvPcQ6unZFrsTq1RAXycnqdV58kWjTJqKDB4latyYqVgy5GZMnE504oR7XuTPR2rVEGzcSdeyIPI4shogKQRAEwXPRIyzu3YOwWLIEAuLNN4mGDCH64guiadNQGcIMsbF6NdG6dUjWTEpSr9O4MdGWLUTHjhG98grR3buIYLRujeRQhTZt8P5ff+HPcXFP9etIKyIqBEEQBM/GkbA4f56oQAEIi48+QsRixw6ikiWJbt5EVcfnn8Mci5mofXuiNWsQbejShSgxUb1O/fpE27YRnT5N1K4d0dKl2CZp04bo4UP1uJdeItq8mejwYQiQ2Nin+32kAREVgvAMM2fOHKpYsSLVrFnT3UsRhMyNPWGRlKQKiwcPiCZNIlq8mOjRI6KvvyaKiSH65hsYZ731FoRFmzbYxtiyBdGLhAT1OrVqQZRcvAgvi2XLiC5fxvZJSop6XKNGqgBp3hyiJgtgYGZnjnfqYEEQMgexsbEUEhJCMTExFBwc7O7lCELmhZlo+HAkbxIhWZIZ/y1ThujOHaKQEKKPP1YNrqZPh5HVqFGw3/7qKwiSLVuIOnQgatIEIiMgQL3OyZMQCwULwvdi9Wp4YwQGWq7n+HFELgoVIjp5MtO7Y4moEAQPQESFIDgBM+y4v/8er62FRVQUUY4cyLPo2RMRhgMHkC8xYgTExTffQFhs24atjgYNUPlhLhpOn0YSZ1gY0fbtRPnzE92/TxQaarke5bjbtzO9qJDtD0EQBEEwx2Ag+vZbotdew2vzrZALF4jy5kUOxAcfwC0zIAB/7t8fQmT2bAgLZkQjNm4k2rcP2yLx8ep1KlUi2rUL2ypNmqCypGRJRC3MqVSJaPfup3TzaUNEhSAIgiBYY09YJCYiHyJvXuRVvPceEi737yeqUYMod261Q+mIESgdbdoUJaWHDqHa49Ej9TrlykFYxMfD8rtRI6I+fRD5MKds2ad372lAtj8EwQOQ7Q9BcBFbWyEmE6ITpUujNDQoCI3HunXD8Rs3ojJkyBAMpeHYvn0ww3r+eRyTI4d6ncuXiZo1UzuZXrkCX4tSpcxXI9sfgiAIgpBlsRWx8PJCRcfFi4hMxMfDq2LpUhzfpg0Ex/z5aDQ2bBiESP36RH/+iSTNFi0sS0VLlEDEwseH6NYtCJXevSEyshAiKgRBEATBEY6ExaVLSLR8/Jjoww9Vg6zmzYkqV0ZFx/z5iFiYTER16xJt3Yrky5dfRj6FQtGiEBbZs2PuDz7Icu3QRVQIgiAIghbOCItFi3D8mDHwqVi8mGjhQqJBg9AbpFYtVHucPw9hcf++ep1ChYh27sR8AwcSHTkC506j0R137TQiKgRBEARBD3qERUICenr88gvRqVMoBa1RAxGMxYuRjGk04r3t23GetblV/vwQFvnywaNiwgRYg2cBJFFTEDwASdQUhHTEUfJmqVIQCH5+sPDu1InI1xcC48gRGGb16KE2KFNMsAoXxrZI7tzqdf77D5GMc+fQA4Q50++FSKRCEARBEJxBK2KRKxfeGzcOpaWJiUTPPYd8ihUr0Na8Tx+YZlWtiuZhN2+i+uPuXfU6iilWpUpE/v7uuVcnEVEhCIIgCM6iJSxCQyEapk8nmjUL+RaVK6MCZOVKbI/07o1jKlfGdkdUFDwt7txRr5MzJyIYNWq44y6dRkSFIAiCILiCI2Fx+TIEQUoK0cyZ2AqJi8N2xssvE61aRfTrr7D5Tk4mqlgRwuLePbhr3rqlXic4GH1EsgAiKgRBEATBVRRhMXw4XivC4vFjCIuQEORbzJ6NCEVkJNqZN26MaMW6dcixSE4mKl8eJaUPH0JY3LypXid7dnfcndOIqBCEZxhpfS4ITwGDAbkTtoTFlSuINJhMqOJYsgSdR8uWhSX36tVEGzbAjTMpCQ3Ldu3CuU2aEN244c47cxqp/hAED0CqPwThKcCMfh/ffYfXSlVIYCBR8eKIQBAhMjFtGio9zp1D35BOnYhatiT6+Wecd/ky8iu8vZHIWbQokdh0C4IgCIKHoBWxUHp9rFiBypDoaKIKFZC8uXYtmo517oxqkRIlkGPBjK2SK1fcdFPOIaJCEARBENILR8Li6lVVWPz6K7wuoqJQ2VG3LtH69egNogiL4sUhLLy9ISyyACIqBEEQBCE9sScs4uMhLLJnx+uNG4kmTSKKiYFzZu3aEBbbthG9+iqqSIoWhbAQnwpBEARB8FAcCYtr19CF1MsLDceWLEHH06pViWrWROLmjh1EHTtCWBQuDGGRBRBRIQiCIAgZgR5h4eODz195hej6daJq1YiqVyf6/XdUgbRvj62TggXdeit6EVEhCIIgCBmFlrAIDISwOHCAqFUrCIsaNSAuNm4k2rMHwiI+3q23oRcRFYIgCIKQkTgSFtevQ1j4+RH973/o/3H1KrZBqlQh+uMPon37iNq1c+896EREhSAIgiBkNFrCIiAAwuL8eUQsYmLQNr1yZZSaHjzo3vXrRESFIAiCIDwN9AgLf3+if/4hWrqU6PZtonr14GWxebN7164TERWCIAiC8LTQKyyGDCFq2BBVIXXrwtY7CyCiQhCyAO3ataOiRYtSQEAAFShQgPr06UORkZHuXpYgCK6gCIvXX8drc2Fx4waERWAgkjfLliWKiIDrZhZARIUgZAGaNm1KP//8M507d45+/fVXunTpEnXu3NndyxIEwVUMBqLw8NTCIi4OwsLPDyWnsbFw1oyIcOty9SINxQQhC7Jhwwbq0KEDJSYmkq+vr+bx0lBMEDIpzEQjR6J9OpHahCwoiKhQIbREf/gQZafXr2f6hmI+7l6AIAjOce/ePVq2bBnVq1fPrqBITEykxMTEJ69jY2Of1vIEQXAGJWJBBGGRlARhERdHdPMmTK+CgxGxyALI9ocgZBEmTJhAQUFBFBYWRteuXaP169fbPXbatGkUEhLyZBQpUuQprlQQBKdwtBUSGYmGYlkkwiiiQhDcxOTJk8lgMDgcf//995Pjx48fT8ePH6c///yTvL29qW/fvmRv+3LixIkUExPzZFy/fv1p3ZYgCK6gCIsRI/DalrDIAkhOhSC4iejoaIqOjnZ4TPHixSkgICDV+zdu3KAiRYrQ/v37qW7duprXkpwKQcgiMBONGoXqECLLHIsHDySnQhAE2+TOnZty587t0rnKjwHzvAlBEJ4BDAai2bPx5zlzLHMssgAiKgQhk3P48GE6fPgwNWjQgEJDQykiIoI+/PBDKlWqlK4ohSAIWQx7wiILIDkVgpDJCQwMpDVr1tCLL75I5cqVo4EDB1LlypVp165d5O/v7+7lCYKQESjCwjzHIgsgORWC4AFIToUgZFHMcyyYJadCEARBEAQXMd8KyQJIpEIQPACJVAhCFoeZyGDI9JEKZ0WFIAhZEIPBEExEMUQUwsxZw5pPEIQsh4gKQfAADPiFk4OIHrL8Ty8IQgYhokIQBEEQhHRBSkoFQRAEQUgXRFQIgiAIgpAuiKgQBEEQBCFdEFEhCIIgCEK6IKJCEARBEIR0QUSFIAiCIAjpgogKQRAEQRDShf8DQjO39s9gKx8AAAAASUVORK5CYII=\n", "text/plain": [ "Graphics object consisting of 36 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_options = {'xmin': -3, 'xmax': 3, 'ymin': -3, 'ymax': 3, 'figsize': 8}\n", "show(graph, **plot_options)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adding the Schwarzschild horizon to the plot:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "hor = line([(0,0), (4,4)], color='black', thickness=2) \\\n", " + text(r'$\\mathscr{H}$', (3, 2.7), fontsize=20, color='black')\n", "graph += hor" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adding the curvature singularity $r=0$ to the plot:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 40 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sing = X_SD_II.plot(X_KS, fixed_coords={r:0, th:pi/2, ph:pi}, ambient_coords=(X,T), \n", " color='brown', thickness=4, style='--', parameters={m:1}) \\\n", " + text(r'$r=0$', (2.5, 3), rotation=45, fontsize=16, color='brown')\n", "graph += sing\n", "graph.save(\"max_IEF_KS.pdf\", **plot_options)\n", "show(graph, **plot_options)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zoom showing the regular sclicing of the hypersurface $r=0$ by the $\\tilde{t}=\\mathrm{const}$ hypersurfaces:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 35 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph1 += line([(0,0), (4,4)], color='black', thickness=2)\n", "graph1 += X_SD_II.plot(X_KS, fixed_coords={r:0, th:pi/2, ph:pi}, ambient_coords=(X,T), \n", " color='brown', thickness=4, style='--', parameters={m:1})\n", "show(graph1, xmin=0, xmax=3, ymin=0.8, ymax=2.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot of Schwarzschild-Droste grid on $M_{\\rm I}$ in terms of KS coordinates" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "graph = X_SD_I.plot(X_KS, ambient_coords=(X,T), fixed_coords={th:pi/2,ph:pi}, \n", " ranges={t:(-10,10), r:(2.001,5)}, steps={t:1, r:0.5}, \n", " style={t:'--', r:'-'}, color='blue', parameters={m:1})" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 30 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hor2 = line([(0,0), (4,4)], color='black', thickness=2) \\\n", " + text(r'$\\mathscr{H}$', (2.95, 3.2), fontsize=20, color='black')\n", "region_labels = text(r'$\\mathscr{M}_{\\rm I}$', (2.4, 0.4), fontsize=20, color='blue') \n", "graph2 = graph + hor2 + region_labels\n", "graph2.save(\"max_SD_I_KS.pdf\", **plot_options)\n", "show(graph2, **plot_options)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 58 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph += X_SD_II.plot(X_KS, ambient_coords=(X,T), fixed_coords={th:pi/2,ph:pi}, \n", " ranges={t:(-10,10), r:(0.001,1.999)}, steps={t:1, r:0.5}, \n", " style={t:'--', r:'-'}, color='blue', parameters={m:1})\n", "region_labels = text(r'$\\mathscr{M}_{\\rm I}$', (2.4, 0.4), fontsize=20, color='blue') + \\\n", " text(r'$\\mathscr{M}_{\\rm II}$', (0, 0.5), fontsize=20, color='blue') \n", "graph += hor + sing + region_labels\n", "graph.save(\"max_SD_KS.pdf\", **plot_options)\n", "show(graph, **plot_options)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Radial null geodesics\n", "\n", "The outgoing family:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\begin{array}{llcl} & \\left(0, +\\infty\\right) & \\longrightarrow & M \\\\ & r & \\longmapsto & \\left({\\tilde{t}}, r, {\\theta}, {\\varphi}\\right) = \\left(4 \\, m \\log\\left({\\left| \\frac{r}{2 \\, m} - 1 \\right|}\\right) + r + u, r, \\frac{1}{2} \\, \\pi, \\pi\\right) \\\\ & r & \\longmapsto & \\left(T, X, {\\theta}, {\\varphi}\\right) = \\left(\\frac{{\\left(2 \\, {\\left| -2 \\, m + r \\right|} \\cosh\\left(-\\frac{4 \\, m \\log\\left(2\\right) + 4 \\, m \\log\\left(m\\right) - 4 \\, m \\log\\left({\\left| -2 \\, m + r \\right|}\\right) - r - u}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m} + \\frac{u}{4 \\, m}\\right)} - r\\right)} e^{\\left(-\\frac{u}{4 \\, m}\\right)}}{2 \\, {\\left| -2 \\, m + r \\right|}}, \\frac{{\\left(2 \\, {\\left| -2 \\, m + r \\right|} e^{\\left(\\frac{r}{4 \\, m} + \\frac{u}{4 \\, m}\\right)} \\sinh\\left(-\\frac{4 \\, m \\log\\left(2\\right) + 4 \\, m \\log\\left(m\\right) - 4 \\, m \\log\\left({\\left| -2 \\, m + r \\right|}\\right) - r - u}{4 \\, m}\\right) + r\\right)} e^{\\left(-\\frac{u}{4 \\, m}\\right)}}{2 \\, {\\left| -2 \\, m + r \\right|}}, \\frac{1}{2} \\, \\pi, \\pi\\right) \\end{array}\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\begin{array}{llcl} & \\left(0, +\\infty\\right) & \\longrightarrow & M \\\\ & r & \\longmapsto & \\left({\\tilde{t}}, r, {\\theta}, {\\varphi}\\right) = \\left(4 \\, m \\log\\left({\\left| \\frac{r}{2 \\, m} - 1 \\right|}\\right) + r + u, r, \\frac{1}{2} \\, \\pi, \\pi\\right) \\\\ & r & \\longmapsto & \\left(T, X, {\\theta}, {\\varphi}\\right) = \\left(\\frac{{\\left(2 \\, {\\left| -2 \\, m + r \\right|} \\cosh\\left(-\\frac{4 \\, m \\log\\left(2\\right) + 4 \\, m \\log\\left(m\\right) - 4 \\, m \\log\\left({\\left| -2 \\, m + r \\right|}\\right) - r - u}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m} + \\frac{u}{4 \\, m}\\right)} - r\\right)} e^{\\left(-\\frac{u}{4 \\, m}\\right)}}{2 \\, {\\left| -2 \\, m + r \\right|}}, \\frac{{\\left(2 \\, {\\left| -2 \\, m + r \\right|} e^{\\left(\\frac{r}{4 \\, m} + \\frac{u}{4 \\, m}\\right)} \\sinh\\left(-\\frac{4 \\, m \\log\\left(2\\right) + 4 \\, m \\log\\left(m\\right) - 4 \\, m \\log\\left({\\left| -2 \\, m + r \\right|}\\right) - r - u}{4 \\, m}\\right) + r\\right)} e^{\\left(-\\frac{u}{4 \\, m}\\right)}}{2 \\, {\\left| -2 \\, m + r \\right|}}, \\frac{1}{2} \\, \\pi, \\pi\\right) \\end{array}$$" ], "text/plain": [ "(0, +Infinity) â†’ M\n", " r â†¦ (te, r, th, ph) = (4*m*log(abs(1/2*r/m - 1)) + r + u, r, 1/2*pi, pi)\n", " r â†¦ (T, X, th, ph) = (1/2*(2*abs(-2*m + r)*cosh(-1/4*(4*m*log(2) + 4*m*log(m) - 4*m*log(abs(-2*m + r)) - r - u)/m)*e^(1/4*r/m + 1/4*u/m) - r)*e^(-1/4*u/m)/abs(-2*m + r), 1/2*(2*abs(-2*m + r)*e^(1/4*r/m + 1/4*u/m)*sinh(-1/4*(4*m*log(2) + 4*m*log(m) - 4*m*log(abs(-2*m + r)) - r - u)/m) + r)*e^(-1/4*u/m)/abs(-2*m + r), 1/2*pi, pi)" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "var('u')\n", "outgeod = M.curve({X_EF: [r + 4*m*ln(abs(r/(2*m)-1)) + u, r, pi/2, pi]}, (r, 0, +oo))\n", "outgeod.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ingoing family:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\begin{array}{llcl} & \\left(0, +\\infty\\right) & \\longrightarrow & M \\\\ & r & \\longmapsto & \\left({\\tilde{t}}, r, {\\theta}, {\\varphi}\\right) = \\left(-r + v, r, \\frac{1}{2} \\, \\pi, \\pi\\right) \\\\ & r & \\longmapsto & \\left(T, X, {\\theta}, {\\varphi}\\right) = \\left(\\frac{{\\left(4 \\, m \\cosh\\left(-\\frac{r - v}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m} + \\frac{v}{4 \\, m}\\right)} - r e^{\\left(\\frac{r}{2 \\, m}\\right)}\\right)} e^{\\left(-\\frac{v}{4 \\, m}\\right)}}{4 \\, m}, \\frac{{\\left(4 \\, m e^{\\left(\\frac{r}{4 \\, m} + \\frac{v}{4 \\, m}\\right)} \\sinh\\left(-\\frac{r - v}{4 \\, m}\\right) + r e^{\\left(\\frac{r}{2 \\, m}\\right)}\\right)} e^{\\left(-\\frac{v}{4 \\, m}\\right)}}{4 \\, m}, \\frac{1}{2} \\, \\pi, \\pi\\right) \\end{array}\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\begin{array}{llcl} & \\left(0, +\\infty\\right) & \\longrightarrow & M \\\\ & r & \\longmapsto & \\left({\\tilde{t}}, r, {\\theta}, {\\varphi}\\right) = \\left(-r + v, r, \\frac{1}{2} \\, \\pi, \\pi\\right) \\\\ & r & \\longmapsto & \\left(T, X, {\\theta}, {\\varphi}\\right) = \\left(\\frac{{\\left(4 \\, m \\cosh\\left(-\\frac{r - v}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m} + \\frac{v}{4 \\, m}\\right)} - r e^{\\left(\\frac{r}{2 \\, m}\\right)}\\right)} e^{\\left(-\\frac{v}{4 \\, m}\\right)}}{4 \\, m}, \\frac{{\\left(4 \\, m e^{\\left(\\frac{r}{4 \\, m} + \\frac{v}{4 \\, m}\\right)} \\sinh\\left(-\\frac{r - v}{4 \\, m}\\right) + r e^{\\left(\\frac{r}{2 \\, m}\\right)}\\right)} e^{\\left(-\\frac{v}{4 \\, m}\\right)}}{4 \\, m}, \\frac{1}{2} \\, \\pi, \\pi\\right) \\end{array}$$" ], "text/plain": [ "(0, +Infinity) â†’ M\n", " r â†¦ (te, r, th, ph) = (-r + v, r, 1/2*pi, pi)\n", " r â†¦ (T, X, th, ph) = (1/4*(4*m*cosh(-1/4*(r - v)/m)*e^(1/4*r/m + 1/4*v/m) - r*e^(1/2*r/m))*e^(-1/4*v/m)/m, 1/4*(4*m*e^(1/4*r/m + 1/4*v/m)*sinh(-1/4*(r - v)/m) + r*e^(1/2*r/m))*e^(-1/4*v/m)/m, 1/2*pi, pi)" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "var('v')\n", "ingeod = M.curve({X_EF: [-r + v, r, pi/2, pi]}, (r, 0, +oo))\n", "ingeod.display()" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 34 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = Graphics()\n", "for u0 in range(-10, 10, 2):\n", " graph += outgeod.plot(chart=X_KS, ambient_coords=(X,T), prange=(0.01, 1.99), \n", " parameters={m: 1, u: u0}, color='green', style='-')\n", " graph += outgeod.plot(chart=X_KS, ambient_coords=(X,T), prange=(2.01, 5), \n", " parameters={m: 1, u: u0}, color='green', style='-')\n", " graph += ingeod.plot(chart=X_KS, ambient_coords=(X,T), prange=(0.01, 5), \n", " parameters={m: 1, v: u0}, color='green', style='--')\n", "graph += hor\n", "graph += sing\n", "graph.save(\"max_rad_null_geod_KS.pdf\", **plot_options)\n", "show(graph, **plot_options)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Extension to $M_{\\rm III}$ and $M_{\\rm IV}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The second Schwarzschild-Droste domain:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "M_SD2 = M.open_subset('M_SD2', latex_name=r\"{M'}_{\\rm SD}\", coord_def={X_KS: T<-X})\n", "X_SD2. = M_SD2.chart(r't r:(0,+oo) th:(0,pi):\\theta ph:(0,2*pi):\\varphi')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Definition of regions $M_{\\rm III}$ and $M_{\\rm IV}$:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "M_III = M_SD2.open_subset('M_III', latex_name=r'M_{\\rm III}', \n", " coord_def={X_KS.restrict(M_SD2): [X<0, X\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm III},(T, X, {\\theta}, {\\varphi})\\right)\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm III},(T, X, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M_III, (T, X, th, ph))" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_KS_III = X_KS.restrict(M_III)\n", "X_KS_III" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm IV},(T, X, {\\theta}, {\\varphi})\\right)\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm IV},(T, X, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M_IV, (T, X, th, ph))" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_KS_IV = X_KS.restrict(M_IV)\n", "X_KS_IV" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Schwarzschild-Droste coordinates in $M_{\\rm III}$ and $M_{\\rm IV}$:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm III},(t, r, {\\theta}, {\\varphi})\\right)\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm III},(t, r, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M_III, (t, r, th, ph))" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_SD_III = X_SD2.restrict(M_III, r>2*m)\n", "X_SD_III" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} T & = & -\\sqrt{\\frac{r}{2 \\, m} - 1} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\sinh\\left(\\frac{t}{4 \\, m}\\right) \\\\ X & = & -\\sqrt{\\frac{r}{2 \\, m} - 1} \\cosh\\left(\\frac{t}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m}\\right)} \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} T & = & -\\sqrt{\\frac{r}{2 \\, m} - 1} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\sinh\\left(\\frac{t}{4 \\, m}\\right) \\\\ X & = & -\\sqrt{\\frac{r}{2 \\, m} - 1} \\cosh\\left(\\frac{t}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m}\\right)} \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.$$" ], "text/plain": [ "T = -sqrt(1/2*r/m - 1)*e^(1/4*r/m)*sinh(1/4*t/m)\n", "X = -sqrt(1/2*r/m - 1)*cosh(1/4*t/m)*e^(1/4*r/m)\n", "th = th\n", "ph = ph" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_III_to_KS = X_SD_III.transition_map(X_KS_III, [-sqrt(r/(2*m)-1)*exp(r/(4*m))*sinh(t/(4*m)), \n", " - sqrt(r/(2*m)-1)*exp(r/(4*m))*cosh(t/(4*m)), \n", " th, ph])\n", "SD_III_to_KS.display()" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm IV},(t, r, {\\theta}, {\\varphi})\\right)\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(M_{\\rm IV},(t, r, {\\theta}, {\\varphi})\\right)$$" ], "text/plain": [ "Chart (M_IV, (t, r, th, ph))" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_SD_IV = X_SD2.restrict(M_IV, r<2*m)\n", "X_SD_IV" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} T & = & -\\sqrt{-\\frac{r}{2 \\, m} + 1} \\cosh\\left(\\frac{t}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m}\\right)} \\\\ X & = & -\\sqrt{-\\frac{r}{2 \\, m} + 1} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\sinh\\left(\\frac{t}{4 \\, m}\\right) \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left\\{\\begin{array}{lcl} T & = & -\\sqrt{-\\frac{r}{2 \\, m} + 1} \\cosh\\left(\\frac{t}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m}\\right)} \\\\ X & = & -\\sqrt{-\\frac{r}{2 \\, m} + 1} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\sinh\\left(\\frac{t}{4 \\, m}\\right) \\\\ {\\theta} & = & {\\theta} \\\\ {\\varphi} & = & {\\varphi} \\end{array}\\right.$$" ], "text/plain": [ "T = -sqrt(-1/2*r/m + 1)*cosh(1/4*t/m)*e^(1/4*r/m)\n", "X = -sqrt(-1/2*r/m + 1)*e^(1/4*r/m)*sinh(1/4*t/m)\n", "th = th\n", "ph = ph" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_IV_to_KS = X_SD_IV.transition_map(X_KS_IV, [-sqrt(1-r/(2*m))*exp(r/(4*m))*cosh(t/(4*m)), \n", " -sqrt(1-r/(2*m))*exp(r/(4*m))*sinh(t/(4*m)), \n", " th, ph])\n", "SD_IV_to_KS.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot of the maximal extension" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "graph = X_SD_I.plot(X_KS, ambient_coords=(X,T), fixed_coords={th:pi/2,ph:pi}, \n", " ranges={t:(-10,10), r:(2.001,5)}, steps={t:1, r:0.5}, \n", " style={t:'--', r:'-'}, color='blue', parameters={m:1})\n", "graph += X_SD_II.plot(X_KS, ambient_coords=(X,T), fixed_coords={th:pi/2,ph:pi}, \n", " ranges={t:(-10,10), r:(0.001,1.999)}, steps={t:1, r:0.5}, \n", " style={t:'--', r:'-'}, color='steelblue', parameters={m:1})\n", "graph += X_SD_III.plot(X_KS, ambient_coords=(X,T), fixed_coords={th:pi/2,ph:pi}, \n", " ranges={t:(-10,10), r:(2.001,5)}, steps={t:1, r:0.5}, \n", " style={t:'--', r:'-'}, color='chocolate', parameters={m:1})\n", "graph += X_SD_IV.plot(X_KS, ambient_coords=(X,T), fixed_coords={th:pi/2,ph:pi}, \n", " ranges={t:(-10,10), r:(0.001,1.999)}, steps={t:1, r:0.5}, \n", " style={t:'--', r:'-'}, color='gold', parameters={m:1})" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 115 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bifhor = line([(-4,-4), (4,4)], color='black', thickness=3) + \\\n", " line([(-4,4), (4,-4)], color='black', thickness=3) + \\\n", " text(r'$\\mathscr{H}$', (3, 2.7), fontsize=20, color='black')\n", "sing2 = X_SD_IV.plot(X_KS, fixed_coords={r:0, th:pi/2, ph:pi}, ambient_coords=(X,T), \n", " color='brown', thickness=4, style='--', parameters={m:1}) \\\n", " + text(r\"$r'=0$\", (2.5, -3), rotation=-45, fontsize=16, color='brown')\n", "region_labels = text(r'$\\mathscr{M}_{\\rm I}$', (2.4, 0.4), fontsize=20, color='blue') + \\\n", " text(r'$\\mathscr{M}_{\\rm II}$', (0, 0.5), fontsize=20, color='steelblue') + \\\n", " text(r'$\\mathscr{M}_{\\rm III}$', (-2.4, 0.4), fontsize=20, color='chocolate') + \\\n", " text(r'$\\mathscr{M}_{\\rm IV}$', (0, -0.5), fontsize=20, color='gold')\n", "graph += bifhor + sing + sing2 + region_labels\n", "graph.save(\"max_kruskal_diag.pdf\", **plot_options)\n", "show(graph, **plot_options)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot of the Killing vector field $\\xi$" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\xi = \\frac{X}{4 \\, m} \\frac{\\partial}{\\partial T } + \\frac{T}{4 \\, m} \\frac{\\partial}{\\partial X }\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\xi = \\frac{X}{4 \\, m} \\frac{\\partial}{\\partial T } + \\frac{T}{4 \\, m} \\frac{\\partial}{\\partial X }$$" ], "text/plain": [ "xi = 1/4*X/m âˆ‚/âˆ‚T + 1/4*T/m âˆ‚/âˆ‚X" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xi = M.vector_field(name='xi', latex_name=r'\\xi')\n", "xi[X_KS.frame(), 0, X_KS] = X/(4*m)\n", "xi[X_KS.frame(), 1, X_KS] = T/(4*m)\n", "xi.display(X_KS.frame(), X_KS)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\xi = \\left( \\frac{\\sqrt{2} \\sqrt{-2 \\, m + r} \\cosh\\left(\\frac{t}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m}\\right)}}{8 \\, m^{\\frac{3}{2}}} \\right) \\frac{\\partial}{\\partial T } + \\left( \\frac{\\sqrt{2} \\sqrt{-2 \\, m + r} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\sinh\\left(\\frac{t}{4 \\, m}\\right)}{8 \\, m^{\\frac{3}{2}}} \\right) \\frac{\\partial}{\\partial X }\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\xi = \\left( \\frac{\\sqrt{2} \\sqrt{-2 \\, m + r} \\cosh\\left(\\frac{t}{4 \\, m}\\right) e^{\\left(\\frac{r}{4 \\, m}\\right)}}{8 \\, m^{\\frac{3}{2}}} \\right) \\frac{\\partial}{\\partial T } + \\left( \\frac{\\sqrt{2} \\sqrt{-2 \\, m + r} e^{\\left(\\frac{r}{4 \\, m}\\right)} \\sinh\\left(\\frac{t}{4 \\, m}\\right)}{8 \\, m^{\\frac{3}{2}}} \\right) \\frac{\\partial}{\\partial X }$$" ], "text/plain": [ "xi = 1/8*sqrt(2)*sqrt(-2*m + r)*cosh(1/4*t/m)*e^(1/4*r/m)/m^(3/2) âˆ‚/âˆ‚T + 1/8*sqrt(2)*sqrt(-2*m + r)*e^(1/4*r/m)*sinh(1/4*t/m)/m^(3/2) âˆ‚/âˆ‚X" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xi.display(X_KS_I.frame(), X_SD_I)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\xi = \\frac{\\partial}{\\partial t }\$" ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\xi = \\frac{\\partial}{\\partial t }$$" ], "text/plain": [ "xi = âˆ‚/âˆ‚t" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xi.display(X_SD_I.frame())" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 217 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph_xi = xi.plot(X_KS, chart_domain=X_KS, ambient_coords=(X,T), \n", " fixed_coords={th:pi/2,ph:pi}, max_range=4, \n", " number_values=19, color='red', parameters={m: 1})\n", "graph = graph_xi + bifhor + sing + sing2 \n", "graph.save(\"max_xi_extend.pdf\", **plot_options)\n", "show(graph, **plot_options)" ] } ], "metadata": { "kernelspec": { "display_name": "SageMath 9.5.beta7", "language": "sage", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" }, "widgets": { "state": {}, "version": "1.1.2" } }, "nbformat": 4, "nbformat_minor": 1 }