{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Carter-Penrose diagram of Schwarzschild spacetime\n", "\n", "This worksheet demonstrates a few capabilities of SageMath in computations regarding\n", "the Carter-Penrose diagram of Schwarzschild spacetime. It is used to illustrate the lectures\n", "[Geometry and physics of black holes](http://luth.obspm.fr/~luthier/gourgoulhon/bh16/).\n", "The corresponding tools have been developed within the [SageManifolds](http://sagemanifolds.obspm.fr) project (version 1.2, as included in SageMath 8.2). \n", "\n", "Click [here](https://raw.githubusercontent.com/sagemanifolds/SageManifolds/master/Worksheets/v1.2/SM_Carter-Penrose_diag.ipynb) to download the worksheet file (ipynb format). To run it, you must start SageMath with the Jupyter notebook, via the command `sage -n jupyter`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*NB:* a version of SageMath at least equal to 7.5 is required to run this worksheet:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'SageMath version 8.2, Release Date: 2018-05-05'" ] }, "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 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": 4, "metadata": {}, "outputs": [], "source": [ "M_SD = M.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": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_SD, (t, r, th, ph))" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_SD. = M_SD.chart(r't r:(0,+oo) th:(0,pi):\\theta ph:(0,2*pi):\\phi')\n", "m = var('m', domain='real') ; assume(m>=0)\n", "X_SD.add_restrictions(r!=2*m)\n", "X_SD" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_I, (t, r, th, ph))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_SD_I = X_SD.restrict(M_I, r>2*m) ; X_SD_I " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_II, (t, r, th, ph))" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_SD_II = X_SD.restrict(M_II, r<2*m) ; X_SD_II" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_SD, (t, r, th, ph))" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M.default_chart()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "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))]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M.atlas()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Kruskal-Szekeres coordinates" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M, (T, X, th, ph))" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_KS. = M.chart(r'T X th:(0,pi):\\theta ph:(0,2*pi):\\phi')\n", "X_KS.add_restrictions(T^2 < 1 + X^2)\n", "X_KS" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_I, (T, X, th, ph))" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_KS_I = X_KS.restrict(M_I, [X>0, T-X]) ; X_KS_I " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_II, (T, X, th, ph))" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_KS_II = X_KS.restrict(M_II, [T>0, T>abs(X)]) ; X_KS_II" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "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": 13, "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": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "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": 14, "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": "markdown", "metadata": {}, "source": [ "### Plot of Schwarzschild-Droste grid on $M_{\\rm I}$ in terms of KS coordinates" ] }, { "cell_type": "code", "execution_count": 15, "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": "markdown", "metadata": {}, "source": [ "Adding the Schwarzschild horizon to the plot:" ] }, { "cell_type": "code", "execution_count": 16, "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')" ] }, { "cell_type": "code", "execution_count": 17, "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", "show(graph2, xmin=-3, xmax=3, ymin=-3, ymax=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adding the curvature singularity $r=0$ to the plot:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "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')" ] }, { "cell_type": "code", "execution_count": 19, "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='steelblue', 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='steelblue') \n", "graph += hor + sing + region_labels\n", "show(graph, xmin=-3, xmax=3, ymin=-3, ymax=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Extension to $M_{\\rm III}$ and $M_{\\rm IV}$" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_III, (T, X, th, ph))" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M_III = M.open_subset('M_III', latex_name=r'M_{\\rm III}', coord_def={X_KS: [X<0, X" ], "text/plain": [ "Chart (M_IV, (T, X, th, ph))" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "M_IV = M.open_subset('M_IV', latex_name=r'M_{\\rm IV}', coord_def={X_KS: [T<0, T<-abs(X)]})\n", "X_KS_IV = X_KS.restrict(M_IV) ; X_KS_IV" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Schwarzschild-Droste coordinates in $M_{\\rm III}$ and $M_{\\rm IV}$:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_III, (t, r, th, ph))" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_SD_III. = M_III.chart(r't r:(2*m,+oo) th:(0,pi):\\theta ph:(0,2*pi):\\phi')\n", "X_SD_III" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "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": 23, "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": 24, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M_IV, (t, r, th, ph))" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_SD_IV. = M_IV.chart(r't r:(0,2*m) th:(0,pi):\\theta ph:(0,2*pi):\\phi')\n", "X_SD_IV" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "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": 25, "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": { "collapsed": true }, "source": [ "## Standard compactified coordinates\n", "\n", "The coordinates $(\\hat T, \\hat X, \\theta, \\varphi)$ associated with the conformal compactification of the Schwarzschild spacetime are" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Chart (M, (T1, X1, th, ph))" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_C. = M.chart(r'T1:(-pi/2,pi/2):\\hat{T} X1:(-pi,pi):\\hat{X} th:(0,pi):\\theta ph:(0,2*pi):\\varphi')\n", "X_C.add_restrictions([-pi+abs(X1)" ], "text/plain": [ "T1 = arctan(T + X) + arctan(T - X)\n", "X1 = arctan(T + X) - arctan(T - X)\n", "th = th\n", "ph = ph" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "KS_to_C = X_KS.transition_map(X_C, [atan(T+X)+atan(T-X),\n", " atan(T+X)-atan(T-X), \n", " th, ph])\n", "print(KS_to_C)\n", "KS_to_C.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transition map between the Schwarzschild-Droste chart and the chart of compactified coordinates\n", "\n", "The transition map is obtained by composition of previously defined ones:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Change of coordinates from Chart (M_I, (t, r, th, ph)) to Chart (M_I, (T1, X1, th, ph))\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "T1 = arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m)) + arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m))\n", "X1 = arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m)) - arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m))\n", "th = th\n", "ph = ph" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_I_to_C = KS_to_C.restrict(M_I) * SD_I_to_KS\n", "print(SD_I_to_C)\n", "SD_I_to_C.display()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Change of coordinates from Chart (M_II, (t, r, th, ph)) to Chart (M_II, (T1, X1, th, ph))\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "T1 = arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m)) - arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m))\n", "X1 = arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m)) + arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m))\n", "th = th\n", "ph = ph" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_II_to_C = KS_to_C.restrict(M_II) * SD_II_to_KS\n", "print(SD_II_to_C)\n", "SD_II_to_C.display()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Change of coordinates from Chart (M_III, (t, r, th, ph)) to Chart (M_III, (T1, X1, th, ph))\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "T1 = -arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m)) - arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m))\n", "X1 = -arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m)) + arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(-2*m + r)/sqrt(m))\n", "th = th\n", "ph = ph" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_III_to_C = KS_to_C.restrict(M_III) * SD_III_to_KS\n", "print(SD_III_to_C)\n", "SD_III_to_C.display()" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Change of coordinates from Chart (M_IV, (t, r, th, ph)) to Chart (M_IV, (T1, X1, th, ph))\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "T1 = -arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m)) + arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m))\n", "X1 = -arctan(1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) + sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m)) - arctan(-1/2*(sqrt(2)*cosh(1/4*t/m)*e^(1/4*r/m) - sqrt(2)*e^(1/4*r/m)*sinh(1/4*t/m))*sqrt(2*m - r)/sqrt(m))\n", "th = th\n", "ph = ph" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SD_IV_to_C = KS_to_C.restrict(M_IV) * SD_IV_to_KS\n", "print(SD_IV_to_C)\n", "SD_IV_to_C.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Carter-Penrose diagram\n", "\n", "The diagram is obtained by plotting the curves of constant Schwarzschild-Droste coordinates with respect to the compactified chart." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "r_tab = [2.01*m, 2.1*m, 2.5*m, 4*m, 8*m, 12*m, 20*m, 100*m]\n", "curves_t = dict()\n", "for r0 in r_tab:\n", " curves_t[r0] = M.curve({X_SD_I: [t, r0, pi/2, pi]}, (t,-oo,+oo))\n", " curves_t[r0].coord_expr(X_C.restrict(M_I))" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "scrolled": true }, "outputs": [], "source": [ "graph_t = Graphics()\n", "for r0 in r_tab:\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-150, -10), \n", " parameters={m:1}, plot_points=100, color='blue', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-10, 10), \n", " parameters={m:1}, plot_points=100, color='blue', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(10, 150), \n", " parameters={m:1}, plot_points=100, color='blue', style='--')" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "t_tab = [-50*m, -20*m, -10*m, -5*m, -2*m, 0, 2*m, 5*m, 10*m, 20*m, 50*m]\n", "curves_r = dict()\n", "for t0 in t_tab:\n", " curves_r[t0] = M.curve({X_SD_I: [t0, r, pi/2, pi]}, (r, 2*m, +oo))\n", " curves_r[t0].coord_expr(X_C.restrict(M_I))" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "graph_r = Graphics()\n", "for t0 in t_tab:\n", " graph_r += curves_r[t0].plot(X_C, ambient_coords=(X1,T1), prange=(2.0001, 4), \n", " parameters={m:1}, plot_points=100, color='blue') \n", " graph_r += curves_r[t0].plot(X_C, ambient_coords=(X1,T1), prange=(4, 1000), \n", " parameters={m:1}, plot_points=100, color='blue')" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "bifhor = line([(-pi/2,-pi/2), (pi/2,pi/2)], color='black', thickness=3) + \\\n", " line([(-pi/2,pi/2), (pi/2,-pi/2)], color='black', thickness=3) + \\\n", " text(r'$\\mathscr{H}$', (1, 1.2), fontsize=20, color='black')" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "sing1 = X_SD_II.plot(X_C, fixed_coords={r:0, th:pi/2, ph:pi}, ambient_coords=(X1,T1),\n", " max_range=200, number_values=30, color='brown', thickness=3, \n", " style='--', parameters={m:1}) + \\\n", " text(r'$r=0$', (0.4, 1.7), fontsize=16, color='brown')\n", "sing2 = X_SD_IV.plot(X_C, fixed_coords={r:0, th:pi/2, ph:pi}, ambient_coords=(X1,T1),\n", " max_range=200, number_values=30, color='brown', thickness=3, \n", " style='--', parameters={m:1}) + \\\n", " text(r\"$r'=0$\", (0.4, -1.7), fontsize=16, color='brown')\n", "sing = sing1 + sing2" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "scri = line([(pi,0), (pi/2,pi/2)], color='green', thickness=3) + \\\n", " text(r\"$\\mathscr{I}^+$\", (2.6, 0.9), fontsize=20, color='green') + \\\n", " line([(pi/2, -pi/2), (pi,0)], color='green', thickness=3) + \\\n", " text(r\"$\\mathscr{I}^-$\", (2.55, -0.9), fontsize=20, color='green') + \\\n", " line([(-pi,0), (-pi/2,pi/2)], color='green', thickness=3) + \\\n", " text(r\"${\\mathscr{I}'}^+$\", (-2.55, 0.9), fontsize=20, color='green') + \\\n", " line([(-pi/2, -pi/2), (-pi,0)], color='green', thickness=3) + \\\n", " text(r\"${\\mathscr{I}'}^-$\", (-2.6, -0.9), fontsize=20, color='green')" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "region_labels = text(r'$\\mathscr{M}_{\\rm I}$', (2, 0.4), fontsize=20, color='blue', \n", " background_color='white') + \\\n", " text(r'$\\mathscr{M}_{\\rm II}$', (0.4, 1), fontsize=20, color='steelblue',\n", " background_color='white') + \\\n", " text(r'$\\mathscr{M}_{\\rm III}$', (-2, 0.4), fontsize=20, color='chocolate',\n", " background_color='white') + \\\n", " text(r'$\\mathscr{M}_{\\rm IV}$', (0.4, -1), fontsize=20, color='gold',\n", " background_color='white')" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 61 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = graph_t + graph_r\n", "show(graph + bifhor + sing + scri, aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "r_tab = [0.1*m, 0.5*m, m, 1.25*m, 1.5*m, 1.7*m, 1.9*m, 1.98*m]\n", "curves_t = dict()\n", "for r0 in r_tab:\n", " curves_t[r0] = M.curve({X_SD_II: [t, r0, pi/2, pi]}, (t,-oo,+oo))\n", " curves_t[r0].coord_expr(X_C.restrict(M_II))" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "graph_t = Graphics()\n", "for r0 in r_tab:\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-150, -2), \n", " parameters={m:1}, plot_points=50, color='steelblue', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-2, 2), \n", " parameters={m:1}, plot_points=50, color='steelblue', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(2, 150), \n", " parameters={m:1}, plot_points=50, color='steelblue', style='--')" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "t_tab = [-20*m, -10*m, -5*m, -2*m, 0, 2*m, 5*m, 10*m, 20*m]\n", "curves_r = dict()\n", "for t0 in t_tab:\n", " curves_r[t0] = M.curve({X_SD_II: [t0, r, pi/2, pi]}, (r, 0, 2*m))\n", " curves_r[t0].coord_expr(X_C.restrict(M_II))" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "graph_r = Graphics()\n", "for t0 in t_tab:\n", " graph_r += curves_r[t0].plot(X_C, ambient_coords=(X1,T1), prange=(0.001, 1.9999), \n", " parameters={m:1}, plot_points=100, color='steelblue') " ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": 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VatBpNMSE+fPY5YM9x2vo5+ONH7dTUG5Fp9Gg1WrQV5Wrz9dq0Go0DO8ZxbCkKM/j/7zQuLjCxvyNR9BptWg1oHU50dosnjZoNRrO7BNNkOnYc/680PhoQQVZxZXVx9CgWCrQulzq8bQaTAY9P2w4Qn6ZleeuHdrgeVjsTjQaDXqteh72Yt8jhI0tmLZUWSjMK6a0ykZplR2TUU/f+LA6j6l9Hi63wsUv/YRbUcO/XqtBZ7OQEGYCBQZ368SYvjHEdVJDidPlZk9OBeszK1i7P4+8Ugsmg5ayjXNZOvcjz3HNyVos17jrXd68aeBNEiCEOAlIeBB/ed6Cw/ldzif91XT27tpb5/bATjEMueUlLjprkKcT5M0Ts9Z75p4HmvR0jw4mOsSf8CA/Avz0dA715+x+viYlwTXTFlFaZUen1RAaYCTU34/QQD9C/Y2EBfoxpm8MvWJDW3DmDdt6uIDHvljHzCljW2Xk5GT3r1nr8dNrefqaoV4foyhKg8GthsPlxmp3oShK9VV2Rb3SjuK5ct+p1gjSzz//zKpVqxgyZAhXXnkl33//PaPHXaAeo9Zzan45r1m5nOsuv4h9+/bVWfwcGRmJTqd2pNyKQlpeuee+PUeyuWhEbxau3UufrurkuahQMwF+DS/+B6i0Oiisnntfc7aa6tGTms9jGxk5KLPYcTjddUZuNNUH1KDBoNdiMrSs87c3s5h/fLya9+4cTbdmjKKcqv49ZxMWu5OXbhjeJsf/ft1hVuzJpqTSTnGlrd66o8HdIvjP3xp+7Sqbk61HCth6uID8MiuZRZV1poJFBJl4a/IowgOPve9fW7CNX7dmEBlsYmSvaIYnRfHdx2/y8ksv1jv+39/6O+8Vv4fdXXedkgQIIdqfTFsSf2negsPE5Il8e823FE8oZuzYsezZs8dzX0VhNru+fIqpNy7yeWyX280Vw7ty09lJPPDJavrEh2HU69iTUUxWcSVuBa4Y3q3R8PDU1adTUmGjuNLm+SNfWmkju7iKPZnFJMeE+AwP+7JKmLM6lbBANXiEVQeP2gHEZNB5Osfm6oWoVbbG1xh0BDqtptGpK76CA6ijFjXrQ5piwoQJTJhQd8Spk4/paamhaoiLiooiNLTh77VWo6nToS4pLQXUqXNN7WgHmAwEmLyHi6YIbmQa3fGo+T41dxrYqcpid2I2NvxnutLmYG9mCaXVvxNq/24orrRTUmlj+uSzCA3w83p8P4OOzqH+9IkP81yYCKv1e8HX4vrCcivPfbOJQJOBblFBDEgMJ7u4inED4rh9XB+CzPXfR1cM786lw7rSvfr9+PTTTzcYHGbMmMHkyZO54MAFXPb1ZdhdxwLEZ9s+A5AAIUQ7kvAg/rIaCw5GnZHo6GiWLFlSL0AU5mRw/RUXsXTpUhISEho8/t7MEv41awP+Rj2BfgbKLQ7+fd0ggv2N2BwujhZUeDrq3uSUVLH+QB6JEYEkx4aSGBHo2WWmqRxON+VWO0cLKiipslFWZad2X1kDLPzXBHTVHeTA6ivT5dZj4WHX0SIqrU4CzQYCTQYCTXoCTQaM+lP/j7deq8HmdDf+wJPA4MGDsVqt9O3blyeffJKxY8e2d5NOKIdL/T7pjnOu/8lAnTLnpMLioML6539OeseFUm5xEOllrUtWURVPfKku2jYbdYQG+HkCQFJMCKH+RrSNhKwLhyRy4ZBEXG6F3JIq0gsqSM0tI72ggu7RwVwxvJvX58aGBzDrgXHVaz9g8fYMftyUztj+cfWCQ0ZhBQs3pXPbuN7q9EBF4aFHH+eNaf+td9ya4AAwIWkC866dJwFCiJOMhAfxl9SU4FDDW4BITU0lJSXFa4DoExfKO3eMZt2BXBZsTGNvZgnXTFtE34QwRiRHMyI5mthGpgXll1pYuiuLvFKL57aIYBOJEYEkRgSSEBHIBYMSfC6c7J8Yzn//NsLzf5dbodxi91yprLA40GmPPT8kQD330spjf6xnrTjIxurpV7UZ9VoCTQbOPS2e28f1rnd/7dfcmV50LHiYDfgb9Y1e0T8RDHodFY1sE9veYmJi+OCDDzj99NOx2Wx8/vnnjBs3jqVLlzJmzJj2bt4J46gOeYaTJDzYnS4qrU7Kqzv9lVYH5RYHWo2GlP6+RxTveX8FR/LLG7zP30/PdaN6UmqxE+JlJKdLZCCfThlLaIARk5fRCV+W7Mxk7f480vLLySyqxF79tTUbdSREBNKlkW2B7U4XezKKWbs/j/UH8yitsqPXaeibcGyNxKGcMr5adZAVu7MJC/TjgsEJxIX7c/nNU/jxy/fqHbN2cKghAUKIk4+EB/GX05zgUKO5AaKk0saDM1dz0ZAuXHZGN0YmR3P3ByuYOKwLeaVWvli2n582p/PJfSk+2zqgSyc+//s5WOxOMgorSc8vJ72ggvSCCjYeymfx9kwuGpLYrPNX1074ERrgR1fqL7QO8NNj0GkprrV//lNXn+65Qlpeq5NUaXNQYXHQNcr3gu1yi51//mnbT61GnSYTWP3vHxcNICkmxOsxSiptlFscBJnVqTWt1YE06LVNqiHRnnr16kWvXscWpI8cOZKjR4/y6quv/iXDQ+3dwY6HoihU2Wuu/js9AaB/YrjPKTs/bDjCR4v3eB2xig41Nxoebh6bjNOl1BnJCzQbCPDTo9OqV+e/WL6f8KCGpx0Z9To6e7n4UGVz4mfQ+ZzelVVURWG5lT7xYYwflOC5GBEZbPIa6vNKLazdn8vaA3lsP1KIw+UmMSKQ8wfGs2x3Nv0SwjDotOw6WsRXqw6x/kAenUPN3H9hf84bGE+FxcGYKyazZv7MesduKDjUkAAhxMlFwoP4S2lJcKjRnADhciv0Swjn4z/2MnvlQS4Z1oWukUHklVh47rph2Bwuckuqmnzl3WzUkxQTUq9z7XK7Gz3GE1+uo8zi8HQOaj7Ghvk3OGKh0WiICDZRUGv/eJNBh8mgIyLY97ax3gSZDXx8bwoV1WGj9vSMms8bm471+45MPlh07OvuZ9Ad63SZDHQO9W90AXtJpQ2jXofZeGyNh59ei91xakxbqm3EiBF88cUXjT7u3DOHYNDriIuLIy4uDoBJkyYxadKktm5iq6u5Ou5Xa8G1w+WuE2YD/Awk+LhqXlJp44FPVnuCQkPLXabeOIKBXb3v2tUnLpRbz+ntee8Fmg0EmQwEmPQEmQx12ufNmb0a3v65RpnFgd3p9rkWprTKrl5MqL6ocLT6wkJ+mZX37xrjM9TfMCaJG8YkNdrO2uZvOMJ36w4zIDGc28b1ZkRSFLHhAew6WsScNalcMqwLD81cza6jxSRGBPLPSweS0j8WnVbL9rRCJt3xD3Yv+rLece+913twqFETICbOugwXEiCEaE8SHsRfxvEEhxpNCRDx8fF0CjLxyCUDuensZOauTWXu2sO4XG6O5JezI62QAV06NVplt9zi4KfN6QztEUn36KAGQ0Lt6UbejOzVmQPZJaQXVLDuQC4VVnWKjl6rITY8gOtH92Rs/7g6z4kKMZNTYmnocC2i02qJ69S8/f3/LKVfLMkxIdUjH9VTRao7jOUWR5M6bP+atZ6DOWVoNRrP9CmLzYnV4eKZrzeqIcmoBiW/6sBkMujomxBG77gwr8d1utyUWewY9Tp18XT1NqJtacuWLcTENF6CcPHqzQxObnhdTltTqusg2J1uHC63Z4SnsfooCzamUVxhw+pwYnO4sDpcWO0ujhaqP7t//2glVTYX5VYHNkfdUaPxg+J5aKL3InT+fnpG94mpe8W/OgAE1hoJ8yU5NpTkVtzhrCG51UUToxtY81BaZeeOd5d5KqZrNRpiw/xJiAjknP5xJEYGEh7ofaF0S101sjvXndWz3tfn+3WHiQsPQF+9+cAz15zOiORodQtaRWHO6kM8/sSTHFr2Vb1jnn32DN5+23dwqDEhaQIPdJ7HtIzLQC8BQoj2IuFB/CW0RnCo4StAnH12CufdP407LhnF0B6RRIWYuWd8P64fncTcNal8s/oQj362ltvH9ebqM73XNAA4kl/OlysO8PEfewkP9OP0HpEM7RHJkO4RzdrRZuLQLkAXQO3MFVXYPFco0wsqCGtgN5aYMH8OZqu79eSUVLE9rZCoYDNRIWYigk3tslC6U5DJ51XYprj7/L4Ults8U68qrA62HC7gaGGlWoSswurpqNqc6ke708U1Z/bwGR4yCiu56/3ldW7Ta9VtSQ06LXqdlldvGukJUBUVFRw8eNDz2MOHD/P+N7+yJ99BeFQMv8+eTnlRPtc98AJarYaV87+ka7eu3HfNedjtdr744gvmzp3L3Llz67zmnDWHKK20o9FoyM5Tq/4u3JTOpnT1fX96j0gGd4vweh55pRa+WL4fd3UNDJdbwVVdF6SmNsiDFw/w2fmfteIA365JxeFy43C665X26x4dzLt3jvb6fIDfth2lqNx2LMQZ1Y9ajVqLYUj3SAL8ajr8+jqd/sY6zUa9zuf6nBNNURRKq+zklVrUf2VWQswGz6LwhgoUBpsNXHZGV+I7qSOJseH+Lf6ZdLkVDmSXsvFQPr1iQxjWM8rrYxvaueloQQUr9+Qw5cL+TBicyGVndPNc6FAUhZfmbubj6a+Quuzres+Nj5/BL7/UDw7PPw+DB8PEifXb8OpdE9h1/zx+CZUAIUR7kfAgOrzWDA41vAWIw4dT+eY/U9ib+QKTJ57J9aOT0Gk1hPgbuW1cb0xGHZ8v29+kq4IDEsP59pHz2HW0mI2H8tl4MJ9F2zLQaqBXbChnJEUx6ayezVp0rNFoPJ3wQT46kfHhASzblYWiKOzNLGHa/O117g8P9CMqxExksJnoUDOTx/U+KRY/N2ZAl/pTUb5dk8qXyw/w7+uGtfi4kSEmnrt2qHp13eFSO87VnWf1c6XODjQbN26ss1PSQw89BMBpYy7i4ruepig/j9KCbHJKqnArCvklFayY/jLvv/AwZrOZfv36sXDhQi688MI67dicWkBOSRWKAlUV6mLc7emFHCpSO1lRIWaf4cHhcpOeX1GnYJpOp0WnUUePzAZtoxWEBySGY9BrMeq0GGpGYnRajAb1Y2MV0QHeuv2sBm+fteIA89Yf4Z7x/Ro9xsnsly3pLNudTV6Jhbwyi2c6FqjrOc7s1ZmEiEBC/I0Nbnmq0Wi4fnTzphzVVlxhU3+nHMpnc2o+ZRZ12uCNY5J8hoeGfLniAJ2CTJw/ML7BNRY7fvm0weDg5zeDP/6YjKmB6wEffAC3395weAD4buoE+l82j9Thl4FOAoQQJ5qEB9GhtUVwqOEtQJTkZbJ39tN8yPPsySjmscsHE1K9+PKKEd1ZsDGN9QfzGXdafKOvYdTrGNwtgsHdIrjj3D7kl1nYdCifjYcK2JtZ0mYd9oSIQCx2F/llVlL6xXJmr2jyS63klVmOXSEtVTs++emWRtuxbFcWTpdbDRwhZiKCTD53iDqR/P30WOxO3IrS4qlGAX4GT+XmpkhJScFXfc4Xr19Y94ZbRwHvNHrcl2sVE9uy/yhzHofHLx/c5GlLceEBvHHbqCY91psBXTo1GNJaQ5XN2eytituSoiiUWx3kl1rIK7WSV1pFXpmVa8/s4XPBtdOt4G/Uc0ZSFJEhZqJDzNVh3ESIvxGNRsNLczf7XLvREou2ZTBv/WEO5pQBkBQTwkWnd2Foj0h6x4X6/JksqbSxfHc2E4d28fy8H8guZcnOLP5x0YB6Ix+KovD000/z9UdvNXC0GcycOZkkL/mnqAj+VJC7DrMZfn17AqddMQ/b5Zfh1kqAEOJEOnl+CwvRytoyONTwFiDyso5i+OZZgswvcu+MCp68cgh94sMwGXTcnJLM6z/u4JJhXeiX4OMvZAMig81cMDiRCwY3vsNSzXzzlnTSa4o4peaWERVixqjXEdcpoMXrFuZvTGNnepHn/1oNhAeZPFOhUvrFMrJX0zvfrcnfT4+CWpDLV/Vl0f4qbU4C2jk8FJRZef3H7eSVWsgvs2CxH1tzYdBpiQwxMX5gvM/wcPHpXbj49C4+X+dwXrnPRdst4VYUEiMCuWJ4N07vEemzgFyNnJIqvl2Tyq9bj6LTajijZxSdw/xRFIX3fttNYkQg4wfVvRBSExxeeOGFesfT62dw++2Tue6AhXS3AAAgAElEQVS6hl/PZgOLBcK8zxIEoGdP+OzpCVz9+Dx0f5NF1EKcSBIeRId0IoJDDW8BIvNoGrrPn+S8+1/jkU/XcOd5fbhkWFfOG5jAj5vSmf7zLqZPHlVv0bPD5ebJWes5Z0Ac5wyIa/GWpFlFVUz5cCWDu3ViaM8oTu8eQXSo77oSNSKDTQSaDBzMKWvWFXVvpt08EqvdSV6Z1TNqkV9qIbe6A1ZSZfP5/MJyK4u3ZxIVYiKq+ipteKCpVSoN1yz+rLA4JDyc5CqtjkYXMzfreDYH+aVWckuryCu1kl9qoWtUEOcMiPP6HLNRnYo1pHsEkdXhV/1nIjTAr1UWylvtTjIKK7hihPcibX9md7pwuhSfIzPjByUwflDTRqGO5JXzzepDLNmZRZDZwKSzejJxaFfPNKrF2zPZmV7EyzcMr/M7zFdwePXVGRw6NJlp07y/bnGx+rGx8ABw1VXw9xUTeP/beeiuuQy7WwKEECeChAfR4ZzI4FDDW4BITzvC79Mf5s5/z2DJziwuOr0Lep2Wv1/Yn398vIrv1h3m6pF1F05XVM8/fm3Bdj5bup8rR3TjgsGJzZ6uYTLquPrM7mw8lM9bP+30XHWsWXg9IDHc6w5FGo2GpJgQDmSVNP+L4bU9ek9xu+bKKanim9UHPTtFgVqvIiL42OjFfRP6tajzX9MZqrA6aJ+xD9FU5a0QHj5duo81+3LJK7VQaav/fjpX53s6YYDJwLPXDj2uNjTmYE4ZbgWSfdQ9URSFrKIqNh7KY+OhfLYdKeSGMclcO8r3RgyN2ZNRzFcrD7L2QB6RwSbuOr8PFwxKqFOIrqTSxgeLdpPSL5Yh3SOw2p2YjHqfwcFXHYfaiqoHKJsSHgBeeQVu2TWBnECpAyHEiSLhQXQo7REcangLEEeOHOaDp+5g8R9/eKYQJceGctkZ3fhs6X5GJkcT3+lYhzos0I9nrhlKen4536xO5cPf9/L58gNcMDiBS4d1pXMTRw86BZm4fnQS149O8uwqtPFQPiv2ZPP9usOEB/rx5QPjvF4p7RMXysLN6SiK0u6LofslhDP30fGeK8U16y1qFpzmlFTh18huM0t2ZlJQbiU6xJ+oEBORwWbCAv0Iqu6MllscJ+JUxHEoq7J73v8Wu1Nda1BrNCuv1MLDl5zmcwvjUH8j/RPD1cX+IWYiq0ezWmskqzXsySzGz6CrV6fBYney9XAhm1LVxc7ZxVUYdFr6JYZxY0oyZyb7rh3RFMv3ZJNVXMUjlwxkbP/YBqc9vvvrbtwKTB7XmxmL97B2Xy5vTR7Fyy88f1zBAY6NPPha81Cb0ajuzARSSE6IE0Wj+Fq1J8QppD2DQ225ubn1AgRA9+7d6xSSs9qd3DNjBSH+RqbdPNJrhyev1MKCjWn8tDmdKpuDy87oxl3n921x+xRFIS2/gqziSp+FqjYczOPJ2Rv46N6z64SbU9XrP25n2a6sOnPU9VoNnYJN5JZY6BsfRs+YYELMRoL9jQSbjQT5G9SPZgPRIeZ2D1HNsWX/UYb0SmTzvvR2q/PQUrklVRzKLaPc4qC0yk5ZlZ3SKjvLd2djMuhwKUqdsKfVqGE5KsTMs9cM9bne4FTw7NcbqbI7mXrjiDq3vzp/G4u2ZRAT5s/Q6hHEgV07YTa23nVAq92JsXpb3Ias2JPNC99u5p7xfVm+O5u9mSXcOrYX2376hBdffLHe45sTHAB+/FHdZSkrC5pQxqSenw/8XC9AANw08CYJEEK0EgkPokM4WYJDjaYGiF1Hi3jk0zXceHZyo1svWu1OFu/IJMBPX6+oW1soq7JxzbTFXDmyOzeOSaozbeFUpSgKFVanZ7FrXqmF3JIq5q47TGxYAEa91tNZddYqPawBfnryQp/z2RdtyyC3pAp/Pz1mPz1mox5/ox6zUYfJqCc80O+461Q0R3uFB4fLzY60Iix2J1U2p+djlc1Jpc1Bpc3JpLN60sVHkcQfNhzhnV92ARBo0hNkNhLqb2RfVim94kIYkRTt2bkrKthERLCpSQUTTwVuReGaaYu4ZGhXbkpJrnNfRmEFGo2GuPDjK7jYUoXlVu56fzkJnQLJKKzAaNDx+OWD+HrGGy0ecSguht9/h1WrYNs22L0b8vNBowGDATp1gm7dYMAAGDkSzjsPOjcywCIBQoi2JeFBnPJOtuBQo6kBYuaSfXyz+hCv3TLSZyGyE+1IXjl3f7AcRVGv7CZGBJEcG0JybCi940LpGhXU4sXcJ5sb3vid8YMSPJ01RVGosjspr3KoBeVsDgZ19V4fAdSRjQ0H86i0qhWr/+y80+J55FLvlY9tDhcPfrJarZFQq7icXqdFr9Wg12m5ckR3enQO9nqMA9mlrNyTXV0kroAnrjuL3kNGYfIzcsY5FzHq3In1OqR/NmvFAfZnleJ0H6tTYXeq1aHtTjdn9e7M5HP7eH1+hdXBla/85vm/XqvB309PgMmAv1FPgEnPnef1JcnHfP5KmwOH002gyeCZNmOxO7nsv7/y2GWDfC5oPpUUlFnZn1XCvqwS9meXcuWI7oT6G7nvw5VMvXFEq+62pCgKm1MLOJhT1qJ1EW5F4Ykv17M3sxiL3cXQHpE8eulApv3nhWYHB6sV5s6FTz+FP/4Alwu6d1enHyUlQVSUuh2rzQYFBXDoEGzdCjW/Ss88E268Ea6/HoK9/DhIgBCi7Zz6lxLFX9rJGhzAdyXqlJQUT4D425gkFm3L4OmvNvLxfSnHvSDU5nB5XQjdHF2jgrhmZA8Wbk7j9nG9OZBdxv6sEn7fkYnLrWDQaZn14LhmVbs+WYUGGCmuPLbjk0ajIcDPQICfgabOIn/w4tM8n7sVBYvdicXmosruxOZw4d/IyI0C9IkPrVVcTsHhcmN1uHC5ajrx9UNJbVlFlSzZlQUKVFWqReL6XfUoAYFBWIHV+3IaDQ92pxuXomDU6wjwM6hF3moFmt5xoT6f7++n59P7x2KuHnVpSeXjAD8D/GkX0eIK9fvTlO1FT1ZbDhewJ6OYfVml7M8qoaj6nMID/UiOCUGv07AptQA/g44+8b6/zk1lc7j4fUcm3687THpBBckxIVwxoluzg//ny/az5XABGuDWsb24+szuPPvMM16Dw/jx9YNDURG8+Sa8/bYaCsaMgbfegosvhoQmDI7l58PPP8PXX8OUKfDoo2oxuUcegfg/rXOfkCRrIIRoKzLyIE5ZJ3NwqK2xEYi4+Hj+PWcTq/flEh1qZsbdY/AztCzXK4rCPz5eTaDZwOVndGVoj8jjmqe/I12dVvXm7aPoFat2ZmwOF4dyyziSV86FQ3zXmyi3OAg06U/6tQJPzV6PVqvluTbeRedEOpXXPDRk19EiHpq5hvfvGlNvIfGp4v4PV5JVXElSTCjJsSH0ilU/RgSZPD8jj362BpNRf1wVz0GdYrRgYxoLN6VRbnEwslc0lw/vxoDE8Gb/PO5ML+LRz9YS1ymAv1/YnwGJ4T53VRo9ejKnnw7vvquOEFRUwLRp6j+nU+3w338/JPvOsT5lZsJ776lBpLIS7r4bnnwSIiPV+7dtg3XrIGGsjEAI0dokPIhT0qkSHGp4CxDdunVn2bKlxMfHM/3nnfy4KZ1OgX68cvPIFs1rdisKS3Zk8t06tYpsYkQgl53RlXGnxWNqwWiE0+Xm2tcWcemwbo1esW7IPR+soLDcSlLMsY5Sr9hQwgJPrqvHry/YTmpuGW9NPqu9m9JqOlp4WLE7mxfmbmbOI+edVKNdDpebw7llHMot44JBCT475mVVdoLMBq+PKbc4uGbaIu69oB8Th/ouIueNW1GYNn8bS3ZmYdRrGT9I3aUttoXrJIoqrNw3YyWx4QFMvXE4Wo2G/3viX0z9z8v1HjtjxgxuuGEyI0aA3Q7r18O8efDPf6prG6ZMUT+PimpRUxpUXq6OZkydqv7/mWfUYPLii/Dvf8PixWCNlwAhRGuSaUvilHOqBQfwPoXp8OFUhp95FutWr+T+Cwdgc7hZtD2De95fwaOXDmR03+ZtN6LVaBh3WjznDIhj59Fivl+byls/7eSTJfu4cEgilwztSkRw0xft6nVahvWMatJ0l4bcdk4v9maWsD+rhB83pVG6Qv3jHRlsIjk2lCuGd6N/YvOqbLeF8CA/NhyytnczhA8F5VaMeq1na9324HIrHC2oYH92CfuzStmXVcLh3HIcLjc6rYbhSVGEB3r/+WpsF6gNB/NwKwrDk1reu9ZqNASaDEwe15vxgxIIOI6vl9Pl5qW5WwB44orBaDUa/vl/T/Dq1P/Ue2zNGod774X9++Grr9TpSMuXwzXXqJ37Li3LQz4FBcG//gV33QVPP61OZfrkE3VUYvlydV3E1q0yhUmI1iThQZxSTsXgUMNbgMjOSOeMkWexfs1KHpw4gOySSvZllvLC3M1cmt6Vyef2bva8cY1Gw4DEcAYkhpNdXMX8DUdYsCGNnzenM+vBc5s133lUr84s2ZlFVlFls69eDusZxbCeakdIURRySy3sr57vvS+rBLvT3azjtZXIYDPFFTZcbneH2bWnoykot9Kp1vSeEy2zsJL7Plzh2eo3vlMAvWJDOXdAHMmxoXSPDj7utUYr9+aQHBNCVIj5uI5zz/h+x/X8Gh//sZfdGcVMvXEE4YF+PPLY47z2yn/rPa4mOHzzjTpV6Yor1MCQkACLFsG557ZKc3yKiIB33oE77oA774TRo9XPd+1SA8Rvv0mAEKK1SHgQp4xTOTjU8BYgcjLTGTpiFBvXruKpq07nvhkr0Wo1LN5+lItPTyTRx7aWjYkJ8+eu8/vyt7OTSM0pa/ZCyWE9I/HTa1mxJ+e4qtdqNBo6h/rTOdSfMU0cUVmxJ5tNh/JJjg2lV2wIXaOC2qRzHxlswq1AYbntuDtuom3klVra9Htjd7p8hvToUDOTzkqiV2wISTEhx3VFvyEWu5ONB/O4YUzjI3xtVbjRrSi43Qp6nZbF2zOYu/Ywd5/fl34JYTz46P/xv2lT6z2nJjgcOqSuZejUCb7/Hh5+GJ5/Xt01qTnmzFHXQgz0vjGZT4MHw9q18Prr6hqIqChYskSdwvTssxIghGgNEh7EKaEjBIca3gJEXtZRTh8+io1rV/LstUN5eOZqRiRHkxDROgXaAvwMDOjS/K0fTUY9w5OjWbor67jCQ0tU2ZzszSzh161HcStg1Gvp2TnEs3aid1xoi+dy1xYZrPZw2rqDKlouv9RCXKfWqW9QaXWwP7tmBEz9mBgZxEvXn+H1OXqdtk3f/2v25WJzujm7X8PBWlEUdqQX8f26wyR0CuS2cb1b9fXLquy88sNWYsMDGNs/ljd+3MH5A+O5dFgX/v7wY0x//ZV6z6kJDlarOrpQWamOAMyfr26n2hL/+Ic6Baml4QFAp1N3YLroInXBdmYmPPec2qYJ50uAEOJ4SXgQJ72OFBxqeAsQ+dnVAWLdKh66ZCAvf7eFpJgQrj7zxHTaMwsrQUO9xdpj+8Xy3JxNHMkrP6E73YwflMD4QQlY7U4O5pR5OnvrD+Yxb/0RRiZH82wr7JAUHaoGhtySqpNiDYaoL6/MwuDuvmtt+LL1SAG/bjnK/qxSMooqAfA36ukZE0xKv9h2/74v2ZlJn/hQOof617nd7nSxbFc289Yf2wRhdJ8WlF72YXdGMS/N3YzN4SKlXyzPfbOJnjHBTJnQjykPPca7/3u13nNqgkNlJYwaBUeOqGscZs1S1yG0VEkJhLVSuZs+fWD1anjqKXXNxYUXqtOoJoyVACHE8ZDwIE5qHTE41PAWIApyMhhx5mjWr1nJpLN68tHve0mMDGR4UnSbt2n2qoMs3pbB8ORorhjejdO6qNs6DkuKIshs4Pcdmdzeylc8m8Jk1NM/MbxOB6/MYqfK5vT5PLvTxbYjhSTHhhLiY7Gq2agnxN9Ibqml1dosWo/d6aKw3FavY90cReU2soqrGNIjguvO6kmv2BDiIwJ9Vg0/UYoqrGw8VMC9F/T13FZSaWPhpnR+3JRGUYWNYT0jeen6MxjSPaLVpiwpisJ36w7z0e976RUbysOXnMZ/521Fq9Xw1FVDeOH553wGhz17YPx4OHoUbr4ZZs48vvbYbGCxtF54ADAa4b//hX791DaOHw8HDkgdCCGOh4QHcdLqyMGhhq81ECkpKfyxZAlH8qL5z3dbmXbLSLpHe68u3Brun9Cf/glhfL/uCP/8fC3do4O5fHhXUvrFktIvlsXbM7hlbPJJsag42GxsdMvO1Nwynpy9AVBHF2pvF9uzcwj+fsd+BUaHmskpqWrTNouWySlRQ13t8OBWFDILK9lfXZ15VO/OnOZjWt45A+JO2srUv+/IRKfVcHa/WAAyCiu4+/0VaDVw7sB4LhvW9bjWPTWk3OJg2vxtrNmfy1Uju3NzSjJT520jLa+cV28eyRtTX/JZOfqrr9Q1DjYbjB2r7nB0vIqL1Y+hrVMfr46bblKnVd17LwwaBJs2SYAQoqUkPIiT0l8hONTwVYn6nLFj+eW3xeSXWXjqqw3879ZRnq1Wd2cUs3Z/LjentF5n3s+g44LBiYwflMCWw4V8v/4w0+Zv56Pf93JmcjRFFTY2HMxnRHLbj4K0hl6xoXxyX4q6rWb19pqfLzuAzeFCAyREBPLW7aMwGfXEhgWQVSTh4WSUXaxOMzpaWMHGQ/nszyrhQHYpldUjT7Hh/vSJa8XL1SdQWVkZXy5YQq/YCM82tHHhAdwzvi+j+8Q0ur1rjdTUVLRaLV27dm30sYdySnluziYqrU6eu3YoI5Kj+ej3vazck82TVw3h83eneQ0Ot946mcceU6cBJSVBVRV8+y20xmBITXhozZGH2u65B1JT4dVXYfhwWLECJvSWACFEc0mROHHS+SsFh9p8VaL+/sdfmPpbOsFmI6/ePBJ/Pz0/bU7nrZ920i8hjMevGEynoKbXb2iOowUV/LDhCL9vzyQqxER0qD/PH2f12/bkcrtJz69gf3YpGYWVnmlYM5fsY86aQ3QKMhET5k9MqD8xYeruUJ3D/IkOMRPibzzpq2XXqCkSN2bsuYQEmpk0aRKTJk1q72Y1WUGZlXd/3UV2cRXpBeU4XOqfqoggE8mxISRXjyIlx4QSZG6/2g8tVVBQwD/+8Q++mTMHp8MBQHx8PHfddRdTpkwhtIHL78uXL2fbtm3cf//9nts2b97M3//+d9xuN/n5+bz00ktcffXVPl/7aEEF03/eyYMTT6NzqD8/bU7nfwt3cOe5vdn600yvweHKKydXb3uqdsDvvVedstSz53F+MaqtXq2un9i5U51m1Bbcbhg3DvbsUT//7Td1JOLnA1JIToimkvAgTip/1eBQw1eA+GzOAl5ddJT+iWE8e+1QdFotO9OLeOm7zThdCo9dPojTu0e2WdusDhdLdmbyvx93MPP+scc1//xktGhbBq/O38aVw7uRV2Yhu7iK7OIqz9VtgBvPTuZvY5K8HsOtKGjgpAgYJ1OFabvTRVG5jYJyq/qvzEp8pwCfI1jlFgcvzt1MTJg/R/LKKCi38sato9osJJ8IbkVhX2YJv6zfy9uP3YSf0UjvlKuo1ARxblf46KOP2Lt3L8HBwdxxxx1MnjyZxMREdu3axUcffYS/vz/Tpk3zvL/eeOMN/vnPf/L444/z3HPP8frrr2O323nsscea3KYNB/N4+quNXDgkgdzVX/Piiy/We8yMGTM488zJXHopFBbC11/Deee11lflmIUL1UXXGRkQ14YzzJxOKC2FCy6Agwfhl1/UkQgJEEI0jYQHcdL4qweHGr4CxJsz5zJ9WRYXDklgyoT+aDQaSiptTJ23lc2pBdwwJonrRyeh07ZN59Vqd3L9G79z0eldGlw4vWpvDv0SwggN8GuT129Lu44W8dDMNbxzx2h6dD62tqTc4iCnpIq8Ugtx4QE+d5vamV7EY5+vJSzQj7AAP8IC/QgNMBLq70dIgLpG4+x+Mc0u+tcSbRUeFEXB5nBhMvqe9Tpj8R7W7c+luNJGhbXuwnaTQceFQxK56/y+Xp5d1+NfrsNk0PHMNce/s9aJ5nIr7D5axMq9Oazck0NBuZWDP7+LuTKL335fwh3vr+L2cb25YkR3FEXhhx9+4IUXXmDTpk11jvPwww/z6qvq4mWXy8V9993H+++/X+f28847j6lTpzJ48OAmte1QThkPf7qa/glhuHfN5+WXXqr3mBkzZhAXN5lrr1UrRM+bBz3aaPO3uXPVtQn5+eB/Aq5NlJaqYWXrVliwAFJSJEAI0RQSHsRJQYJDXd4CRFRsAk+9+QULdpdzx7l9uGpkd0C9ovnVyoN8vmw/p3XpxKOXDvKsjWht7y/azW9bM/jygXGYalXULauyc+1riwGFAV06cVbvzozq3fmUuVJcZrFz9auLeOKKwZ6Fq81VUGZl9b4ciipsFFfaKKmwUVJlp7jSRlmVHYvdxbzHxmP20fH+auVBth4pxN+ow2TU42fQYTLq8NPrMOq1JDRhq871B/LYn57NjecO4rPFW+kRF42rugCYW1HoEx/mc+RoX1YJc9ekYrE7sdhdVNmcVNmdVFodVFiduBWFn/51oc+QumBjGllFlYQG+BEe6Ed4kB8RQSY6BZkI8NM3a3Tmxjf/4Oy+MUw+t0+Tn9Peth4uYPmebFbvVQNURJCJUb07c1afzowb2puZM2dSGJDE3LWpfPnAOAL/VHRux44dLFiwgGeeeYbx48czf/58tFotbrebm2++mS+++IILLriAhQsXotVqeeuttzhw4ABvvvlmk9pXUGblHx+vItjfQNrSWfw8+/16j5kxYwYOx2SmTFFrJnz55fFtw3oyqqyEyy9X1z989x1MmCABQojGyIJp0e4kONTnq5Dc/911HQ9NncmMxXuIDjEzum8MWo2G60cn0TchjKnztrJ8dxZXjOjeJm27dGhX5q07zOLtGVx8ehfP7cH+RmY/OI7V+3JZuTeH937bzTu/7KJvQpgnSESfxFOdgs1GQvyNHC2sbPExIoJNXDKsq9f77U5XoxW+A80GAk0GLHYnpRYLVrsTu9ON1eHC4XQzqFunRsPD83M2YalUf55m/rEfvSmjzv2PXjrQZ3hwutyUWuyYDXqiQoyYjToC/Az4++kJMBkINOkBBfAeACYO7eL1vuawOlzklVpIjGydYoknypcrDpBbauGcAbGM7hNDr7hQz7awdrud6M4xfLYsjfMGxnuCw/bt29FoNAwYMACz2cx7771HfHw8s2bNQlu9KcLdd9/NF198QY8ePZg9ezYajYYXX3yRnJwc3njjDc/r2xwu/AwNd3KrbE6e+moDoLB/0ef88e2H9R7z/vsz2LNnMq+9phZumzZNLb7W0QQEqEXtrr0WLr0UZs+GK6+URdRC+CIjD6JdSXDwzdsIREB4DDc/8x5pFQZeuuGMOltUllsc+Pvp22zqEsAL324iNbecGfec7fV1yi0O1u7PZeWebDalFqDRwJxHzq8zWnGyeeTTNXQKMvH4FU2b9nGyKqqwsuNgJimDe7Js6yFO6xmHVqtBp9Gg02ow6HVt+v5oTQeyS5ny4Ur+d9uZ9D6FdlQqs9gJMhkaHGEZPXo0Q8ZOZJ+hHx/fl0JseACVlZVce+21fPPNNxQXFzNq1CjS0tL47bffOK96gcG///1vnn76afR6PatWrSI0NJRXXnmFSy65hIkTJ3qOv3Z/Lv9buIMnrhzCgD8Vv7M7XTz11Qb2ZhRTuG4Oq+bV32N1+vQZLFo0mQUL4H//gylTWvmLcxJyONQpU998o9aruPFGGYEQwpv236xd/GVJcGhczQhEnz51p2tUFmUz87m76KSr5JmvN3Iop9RzX5DZ0OYdw6tGdiezqJK1+3O9PibIbOC8gfE8d90wvn74XF68/oyTOjgAJEYGkpZf3t7NOG7hgSbPFp9BZgOhAX4Em40EmAyYjG0bLFtbevX3IyHi5Bh5qLI5Wbozi7xGCgoGm73vzPXsc8/z0VuvEuM8SoifumPS5ZdfzuOPPw7AxIkTSUtL49Zbb/UEh++++45nnnkGgDvvvJOffvqJhQsX8vbbb3uCg9Xu5H8Ld/DM1xvpGRNCQqe6leJdboWp87axM62InFVfNxgcXnllBp98MpnFi9Ur8lOmQFmZujVr9aZQHZLBAJ9/DrfeqhaTe//9Y3Ug/vy36LNtn3Hb/NtwuV3t1Foh2pdMWxLtQoJD03mbwlRVlMO3U+/nogff4F+zNvDaLSOJDQ/wcaTW0zsujNO6hPPVqoOc2Su60fnrAX4GnwW8QF2Im5pbTvfooHbbrahLZBC/bc3A6XKjb2R6kTgx0vIriAoxE+DXftuxekbR9uaw6VA+DpebBy8ewAWDE1t0PEPn3vS57EGOrlvA2Wd/SJ8+fXjjjTfo27cvt99+O1u2bCEgIICXX34ZgD179nDzzTejKArJycn079+fm266iYCAYz/vB7JL+c/3W8gvtXD/hf25aEhinZ8jRVF499ddrNyTRd6ab9jy8+f12vXMMzN4883JuFywcqW6hamiqPURFizAs2i6IyoogMsugxdfVKcy3X03VFTAww/LFCYh/kzCgzjhJDg0n68A8eNrD3DulGk8MWs9r90ykvBA3wuU3YrimXt9PK4b1ZMnZq1ny+FChnSPOO7jHcwpY8qHK+kcauasPjGc1btznXniJ0K3qCAcLjeZRZV0aeWKvqJlDueX06Ud1juUVNo863e2Hi7A5VboGx/Gref0YlTvzi3eqlhRFL5edZBzxo3lv397vM59P/zwAx9//DEADz74IFFRUaxatYo77riDiooKUlJS+P333z3rH0AdTZiz+hCfLdtPt6ggpt8xmsQGRmm+XH6A+RuOULBuToPB4aGHZvDaa5Pp0UMNCvHx6u2ffgqzZqn/OmpwALWqtU4HN9wAW7aoC8MfeUQNEE8/LQFCiNokPIgTSoJDy3kLEJbiHDZ+8gTDbnuJJ8v3WXUAACAASURBVGdt4JWbRhBgavgqrdXh4tHP1nDRELWK9PFc4R/SPYLkmBBmrTjA4G6djnu0oFtUEC/dcAYr9+SweHsG365JrbNDTb+E8DafbtO1OjAcziuX8HCSOJxbxjn923DTfy/e+203y3Zl0T8xnLvP79tqO4etO5DHwZwy/vu34XVuLy8vZ0r14gKtVkt2djZ9+/YlPT2dqqoqgoKCmDlzZp3goCgKT85ez5bUAq4Z1YMbz05ucEH+go1pfLZsPwGpP7Pop8/q3X/XXTOYPn0yY8fCnDnHdlTav1+dtnTrrXAK1RdsEb1eDUiDBqnnu2CBOgLxxBNqgJg6VQKEEDVkXF6cMBIcjp+3NRDZGWls/fRfHE5L49lvNmJ3epmLqyh0iwri9R938O9vN1NWZW/4cU2g0Wi4YUwSO9KL2JZW2OLj1NDrtJzePZJ/XDSAWQ+cyys3jWBU786s2pvDo5+t5b4ZK477NRoT7G8kIshEam5Zm7+WaFyZxU5+mdVnbY22cktKL2Y/eC6v3DSSS4Z1bZXgoCgKXyw/QP/EcAZ2PTaNr6qqigceeICMDHVXrFGjRpGSksL06dOxWNS1Ff/973/p8qdL/xqNhpR+sUy9aQS3ndO7weCwfHc203/agX7vj8z79J16919//Qw++GAyV1+tdphrgoPNBtddp45ANHH311NeXJw60rJwIbz+Ojz+uHruNdW0x/eQNRBCAOieffbZZ9u7EaLjk+DQegIDA7nqqqtYuHAhBQUFnttLS0uwpm3BEX0a6aUuRvfpXG/Kj16nZWSvznSLCuKHDUf4aXM63aKDiA1r2VqJuPAA1h3IY9fRYs4fGN9qaxW0Gg3Rof4M6xnF5cO7MaxHJD1jQk7IaMDWI4UUV9g4Z8CJv9rdmnIKy3h/+uvs2bWD7+d+C8CAAQPauVXNsyezmMXbM7klJZmQViw8mFlYSZXdWa+2Qm2BZkOjhfCaa92BPOauPczDE08jJiyA4uJiXn75ZSZNmsTq1asB6NWrF6tXr2bgwIFcccUV5ObmcuaZZ/LOO+80+PPVs3OI1y2QN6cW8Pw3G7Fv/4FF38yod//FF89g7tzJPPggvPuuevW9xj//qXaif/nlxE1XuugiMJuhTzuW80hKUkcaXnxRrUB9+eWQmAjPPgupqfDQLUmcETeUObvn4FKOhYVtuds4UnqES5IvQauR67KiY5N3uGhzEhxan7cRiIz0I+yd/TRLNuzizZ924m0n5rP6xPDenWPoEhnEE1+u573fdnsfrfBBo9Fw49lJ7EwvYnNqQeNPaAGtRkOf+LBGaxs4XWothOPVIzqYQzkdZ+Thjfc+Zv78+Uw6BeedFJVZ6RMXSlyn49sIQFEUsooq+WlTGi/O3cxL321m5Z6cVmpl07gVhU+X7mdAYjj9E0J57bXXGDJkCAaDgc6dO3se9+677+Ln58fs2bPZvn07Op2Od999t9nBfH9WCc99s+H/2TvvuCqrPwA/lw0iIA4UEBduceHeW3GbOUtNxVWao9LMX67Mhplaphbu3Hube+NERBTFDQ5AEJA97/v745RmcIF7uSw9z+fDx7rv+573XOZ53vMdvPTazol0+ji0aOHBvn3ufP+96OHwr2goDh4UT96//x6y2Kw626jV4r5hOfNrRCvmzhXvu18/0YV62DAR0rRxo9iNaVtG7kBI3m2kPEhyFCkOOYcmgXj6OIA7m6az6+RVVp/w13h9MSsz5n7QgFEdqrHvSgDjlp8jLCpB63k0cC5BNccirDrhr1FWcoMr90PpO/8Ic7Z5cfLGM+ISU3Qax7mkFeExibyI1v5zIdEvbWo6snBYUwwNsvenSqVSYW9biM6uZZjWuy6/jWj+qjt7bnHaL4gHIVG0dzanadOm3LlzBy8vLxwdHfHz8wNg+PDhtG7dGuBVpaWhQ4dSs2ZNre715EUM0zZcIujcZjzTKcdat64HZ8+6s2IFTJkC//USe3sYNw4mTNDhjepIdLSo7FQkH7TyMDERovDiBcyZI17r1w+2bxehXT17QitHKRCSdxcpD5IcQ4pDzqM5ByIQ/43TWX3gAls972u83kCl4r2G5fh1eFMq2ltjU0j7r4lKpWJom8rcDXqZ609z/015Oys+aO5McGQ83+30pu/8I8zYfIUjPk+Ijs96gXrnUtaAKH0pkeiDlFQ1f568QzmzaD4d1o+ZM2eybNkykpOT+fzzzwFo0KABixcvBkTfBz8/P4yNjRn2yaQ3dsKioqJITdW8MH0RncDEVZ74H/2Ty/vWpDleqZIHfn7u7NwpnqinR61aItY/NysmR0aKf62tc++eGVG+PBw6JMKV/qF7dxHKdeoUdO4MzUpKgZC8m0h5kOQIUhxyD00CEfLsMV6rv2LxjjPs9wrMcIxydlZ83r2Wzr0NapYpimuF4qw64U9KqlqnMbJLCWtz+jV1ZrF7M9aMa83QNpWJikvipz0+9Pv5CEv+upmlceyszbEyN5byINEbB70fExgSwYmV3/Dnn3/i5uaGoigMHTqU8PBwHBwc2LVrF2ZmIin76NGjADRo2YHvDj5i7UmxgxgeHk6fPn0IDEz/5zk6Ppmxy89wdd9KfA+tS3O8dGkPQkLcOXxYLITzE//IQ37YefiHRo1ExaV/064dHD4MV69C+/bQqJgUCMm7h5QHid6R4pD7aOxE/SKIK6um8uPG4xy/8TRH5+DetoqIK7+asajkBiVtLOjdqDwLhjZhw4S2jO5Qjcr2WXukqVKpqGRvw51nkTk8S8m7QFxiCutO36FYzC1at2xOgwYNAJg1axYHDx7E0dGR48ePU6rU65ye+w8DAHhpXYV2tRyZ2rsuT58+pU+fPsybN49y5cqluU9Cciof/3GaS7tX8ODU5jTHixf3ICXFnTNnoHnzHHqz2SC/7TxkRNOmcPw43L0LrVuDq7UUCMm7hZQHiV6R4pB3aBKIuPBgrqyayqzVRzh7KyjH7l/ezop2tRxZd/ousYlZDxPKaYoWNqN7/bK0remY4Xn/zteoZG+N/7OXeZrDIXk72Hr+PrEJKTiZxVOxYkUURWHu3LnMmjWLFi1acOnSJSpVqvTq/At3QrgULL7v3m9cgU87u3DowD4GDx7M77//nm7+Q3JKKqOWncJzp0e64mBl5YGNjTuenpBfC27lx52HjHB1FeFLISHQsiXUtJACIXl3kPIg0RtSHPKezARi2opDePprn5eQnKrOUhjPkFaViE9KYfNZzXkW+ZWD3o8Zt/wsm8/do3hhc17GJREcGZ/X05IUYEKj4tl+4SG9GpZjQN/eLFq0CGdnZ7Zs2cKqVas4efLkqx2HhORUfj3gy4zNV+jUayB9+vXntx9m0KRJE65fv86ePXtwdnZOc4+UVDUjl53m7PY/0hUHMzMPKlZ05+xZKFs2p9+x7hSknYd/qFEDTp+G2Fixm1PFSAqE5N1AdpiW6AUpDvkHTZ2o/xGIqcCc4R1oXtU+y2MeuBrIskN+DGzuzMDmzhqr3xS3MqdP4wps8byPW10nShVJv/58fsTBthB2NuasP3OPxL9Lvv528AbtajlSxcEGO2tzvfWxkLwbrDh2G3MTQ/o3q0AhU2Pu379PYmIilpaWac49eDWQwz5PGOtWna6uZVANbpbp+El/7zic3pa+OBgZedC0qUiOLqyhRUpsbNq4/rzA2Vk0YjMpYH8qKlaEM2dELkTz5nDsmOxELXn7USlyX16STaQ45E9CQkLSCASAhW1JGrv/wLqp71NSQ3Op/5KSqmbj2XtsOHOXyvY2TO5ZG3vb9FccCUkpDF96isqlrJnet16230duk5CcypV7z1mwzxe1Wk1ckhAJawsTKtlbU7GkNRVLWVOhpBUl8rFQeN95TN3KTlz1D6ROpdJ5PZ13jpuPw5m0+jyTutWkY+3MP/+pajXBEfFZ7mmhKAq/H/Zj3nffpCsOKpUHffq4s3YtmGror/fsmQi/WbYMevTI0m3fedRq0fOhf/83m+oFBYkE6tBQOHIEnpofpOemniSpk964fnCtwVIgJAUeGbYkyRZSHPIvGYUwXVzxJWN/2cPzl1kLyzEyNGBQy0rM/6gJkXFJfOxxhsM+j9PNCTAzMWJ4myqc8w/h2sN80PFJS8yMDWlWtRSNK9lhb1uITRPbMatfPbq4OqECDngHMmurF6P/OJPXU33rSFVrrtSVV1W8dEGtKCw75IdzSSva18o41+YfDA0MtBKHlcdvaxQH8ODjj93ZsEGzOKjVMHiwaA7XLPNNDsnfXL8OQ4aIRnL/plQpOHkSHB2hVSsoGuHGrv67MDGQIUyStw+58yDRGSkOBQNNOxCWRUvhNmEBS8f3oGhhsyyPF5eYwtJDNzns84TmVUvyaWcXrCze/ForisKk1eeJTUxmyYjmOpeAzUsOXA3k1wM32DG5A+Ymrx8xKopCeEwiwZFxVC9tm+EYG8/ew9jQAAfbQtjbWlDSxgJT49x54vjPzkOL1u2wtjRnwIAB+bLLtM+jF+y9EsCV+8+xtTRjxcctX+3mJKWkss8rkL+8AwkMjWGxe7NXfTjyM395B7Jgny8/DWmMi1PG3yO68OdJf2bOnKFRHGbMcGfGjIz7NMyfD59/DkePQtu2ep/iW82MGaJ53OnTovLSv3n5Erp0AR8f2LcP4uzlDoTk7UPKg0QnpDgULDISiC4TF7J0fA+KWGp4RKmBM35BLNzvSxUHG74d2CDN8XtBLxm34izD2lahT+MK2Zp/XhAYGs2IZaf57oOG1C1fTKcxPltznrtBL1/lUADYWppiZ21OCWtzuriWoVbZovqa8hvk97CllFQ1Sw7dxMTIkLtBL7kRGM7s/vVoWNEOgAchUSw+eAMXJ1u2X3hI0yolmfpenTyedeZExSUxfMlJ6juXYHLP2noff+OZu/zv6681isMPP7gzeXLGY/j4QP368Omn8NNPep/iW09KithdePIErl0DG5s3j8fGii7UZ8/Czp2gVJACIXm7kAnTEq2R4lDw0JREHfMiiH0LJmCoMmDJhO5YW2T9a9e8WimqOhYhPikl3ePOpazpVq8s607dpVV1e4pbmWf7feQmpYtZYmVuzM3H4TrLw/whjVEUhRfRiQRFxhEUEUtIZDwhkfE8j4onITn9z90/3HwczvrTd7E0M6aQmTGFTI0wNzHC3NQIM2NDzIwNaVXDHoMMHjGHRMZxPeAFKakKqWo1ySlqklLVJKWkkpCUip2N+asFe26RkJTCrK1etHNxICAshhuB4XSs7fhqHt4Pw1hzwp8pveowZ5sXpsYGjO5QLVfnqCurTviTolZwb1fljdd9A8PZdv4B03rXwcRIt8XitvP3MxSHBQvcmTAh4zHi42HgQKhWDb79VqdpvPMYGcH69aIT9+jRsHHjm7s8hQrB3r3Qt69oxrd5swhh+q9AyCRqSUFFyoNEK6Q4FFw0CUTsiyB2//wphgaweHx3CpsZZzkJuJhVxuFOQ1pV4rRfEL8fvsX/3q+brfnnNiqViuqlbbke8CLb4xSzMqOYlZnWISwGKhUWpka8jEviWUQcsYnJxCemEpeU8mo3o3WNjKtmHbr2FL+Qe+keMzJQ0bK6fa7KQ6pazextV2nr4oCNpSnzdvtQwtqcUX/Lwe2nkSw/eovvPmzIhjP3uBccxVi3GlrvjOUFt59GcvBqIGM6VsPWUvxsJKeqWXfqDls871OttC1xiSlay0NQRBwX7wQzZeo0jeKwZIk7Y8ZkPtaUKXD/Pnh5ac6HkGROmTIi0XzAAOjUCT766M3jZmawfTsMGgR9+sDq1UIgemzqSbIUCEkBR8qDJMtIcSj4ZCQQO+Z9SnRCMnWrV+LL9+pgrIc8hUJmxoxoV4Ufd/vgdT8U1wrFsz1mblKzjC2rTviTlJKq89Pi7FDVsQj/e9813WOKopCYos5U9Ho0KMNnpe0wMjDA0FCFsaEBxkYGmBoZ5kkuyrLDflRzsKFhRTtG/X4KBZjQxYVCpsa8iE5gwd7rzO5fj3tBUey6+BDnklZ0cXXK9XlqS6paYfHBG5S3s6JrvTIAPA6L4Ydd13gQEsXgVpXp26QChgbaVefyfhjGtA0X8T/yp0ZxWL7cneHDMx/rwQNYsgQWLIDq1bWahiQd+veHQ4dg3DiRdP7fNhzGxmKHwsJCJKcvW+bG7v6yjKuk4FPwshgleYIUh7cHTVWYYsODOPzrJI5e9GX6pkskJOunGkgbFwdqlrHl14M33oj9Lwi4lClKUooa/2eZN8jLaU6fPk23bt2wt7dHpVKxe/duzLKQfG1tYYJjUUtKFrGguJU5NoVMKWRqnCficPLmM8KjE/mwZSUWH7zBi+hEWlW3x7VCcVLVCj/uusbI9lWxNDPm570+AIx1q5FhWFZ+Yc/lRyLPp7OY7z6vAD7xOEN8YgoLhzZhQDNnrcXh3O1gvlqnWRxUKg/Wrs2aOACULw/e3vDJJ1pNI1d48kSEVBU0fvkFGjZ83eTuvxgawvLlMHYsjBoFt/fJRnKSgo+UhwJIcmpyrt5PisPbR2adqD2v3ebLPy8Qk5C977WdFx9y7nYw47u4EBaVwLrTd7M1Xm5T3s6KQqZG+DzKXuiSPoiNjaVWrVosXrw4r6eiE89fxrP+9F3Gd3Xh7K0gTt58RiFTI0Z1EN+DWz3vU76kFa4VirP0kB+hUQm0q+VIVccieTzzzAmJjGP1CX+61itD6WKWzNx8hV8P3KBtTUd+G9GMSvY2mQ/yHw5de8zsLVe4c0yzOGzY4M6gQdqN6+IiyrPmJxRFiM3KlXk9E+0pXFhUrKqXQUsbAwNYtAimToVJk+DKJjd29pUCkVVye80jyZx89ivk3eHQvUPs8d+j07XdN3XX82w0I8Xh7SVDgVg5FZ9b9/hszXkiYhJ1Gl9RFPyeRPDNtqts8bxP3ybl2Xb+AfeD8/4pflYxNFBRs0xRfB7lfb8KNzc35syZw3vvvZfXU9EaRVGYv8fnVdLz4oM3ARjSujK2lmY8eh7NKb8ghrauzNUHYRy5/gRzE0OGtq6cl9POEooiwpUszYwZ2qYyJkYGJKWqmdm3HuO7uGBmon108I4LD5i/x4d7x9elKw4GBh5s3epO//76eAd5T0ICJCeDdf6vwqszKpXoDfHttzB9OpxcLgUiq+TmmkeSNaQ85AHPY5/TfVN3em7qSWSChr3ODIhPzp29XSkObz8ZCcSllV9y9/5DJq4+R0hknNZjq1QqvnqvDhO7unDqZhDHfJ9iZ2POwn2+pKoLToXo2uWKcutJpN7CuN5F9l8NpGhhM1wrFOf3w35ExCZSsZQ13eqVQVEUFu335eNO1VEU+OWALwD9mzpr1X8krzh1M4hL90IZ61aDQqbGmBgZ8t0HDWlcWfskdEVRWHPCn2WH/bivQRwMDT3Ytcud3r31Mfv8wcu/nye8zfLwD199BQsXwrx5sH+RGzukQGRKbq15JFlHJkznAccfHicpNYmqxapiY6b9dnZuIMXh3UFTEvU/nagNR/zA52vOs/zjVlo3OFOpVHSq44SLU1F+2HWNO88iCQJ2XnzA+wWk90PtssVITlVz83E4ruULVsJ3fuBFdAJbzt3nl+FNufYojKPXnwIwpmM1DFQq/vIOxKm4JS5Otqw7dYegiDiKWZnxXqNyacY67RfEzosPuRv0kuRUNQYqFRVLWdPWxZ4ilmYaj/VokHYsfRAVn8TSwzdpXrWkTrLwX56Gx7L53D0eaBAHIyMP9u51p1OnbN8qT0hJgUePROJ2QIDIcwgJgYcPxfHJk8XiOjlZdMBWqUTSsbm5CA+ytoZixcDODhwcwMlJhDuVL1+wKkeNHw+WljBiBMTGurH9y1303iaTqCUFBykPecCJhycAGFF3RB7PJH2kOLx7ZCQQnh5T6Df1N62TPf+NQ9FC/PxRYzacucf6M3dZfuw2ZYoVpn7FEvqYfo5SprgltpameD8Ik/KgA0sP3aRv0wpYmBrx64EbALSqbk/10rbEJiSz7fwD5n/UhNCoeLacfwCIEr/pVbdqUa0ULaqVYp9XAL8euMH7jcszvG2VN45rOpYT/HHkFskpasZ01E/pouCIOO4eW8f9dMTB2NiDgwfdC0w36Jcv4coV8XHtGly/DnfvCjEAIQYlS0KpUkIQAKpWBUdHMDEReQJqtTg/Ph5iYiAiQowVHCw+Uv5uk2JgABUqQI0aULs2uLpCgwZQPB//uA4fLqowDRokBGLr7F28v7UnyYoUCEn+R8qDjviH+XM95DohsSHEJ8djamRKEbMiFLUoyqYbm9h/dz+f1P+E2a1np7n2+KPjmBmZMaT2kDyYecZIcXh3yUggNs/9hGKFzfhuRCcMdcy2NDI0YHCrSlR3KsL0jZdZc+oOrs7F830lHZVKRd3yxfB6EIZ7Xk9GB9o1qYuxkSEODg44ODgAMGDAAAYMGJDj975yP5Sw6AQ613Vi+/kHPHkRi7GhAcPaiFyGdafv0q1+WawtTFiw7zqJyak4FbOkXU3HDMc1MTJ449+sHtMHSSmpHLr2BFtLE474PGFiVxe9hFd5Pwxl4Mjx3Du5Kc0xExMPDh92p2XLrI/3z4/wfyISc4wXL+DkSTh+HM6cgRs3RCJ04cKimVqrVvDxx1C5sljoOzq+loajR6F9e5g/H8plcZMoNRWePRO7GHfugJ8f+PqKxOTwcHGOszO0aAEtW0K7dmCfcUsUvaMobzaP+y8DBgiB6NsX4uLc2PLjLvpuL5gCkZ01kaTgIeVBS9ZcW8OcM3O4F/666ZKxgfgNmKxORoWKwqaFqV2yNr2rpg1KfRL1hHvh9/jA5QNszbVrGJXTSHGQaBSIiGAWTx2OkeEqvhnWMVu7EK7li/PNgPpMXX+JfVcC6F6/rB5mnrO4li/O0etPCY9JeNX8q6Bw1PMqdSqVzvX7JqWksuzQTab1rkt8YgqbPe8D0L1+GexsLAgMi+F6wAvc21UlJDKOoz5PABjUslK+FMpUtZojPk9Yd/ouYVEJFDY3pl6F4nSsnf3PrW/AC/oNH8/dE2nFwdjYgxMn3GnSJOvjJSWJLtKGhnD5csYLWF1RFLGbsHs3HDgAly6J15ydxWJ94kRo1EjIQmbPG6KixL/a5DwYGkLp0uLj31KlKCI06sIF8PSEU6deV3FycQE3N9H1uVEjMUZOsWGD6Dy9e3fG779HD9i3T/wbP86NTYt20X9nwRGI7K6JJAUTKQ9aMGLPCJZ7L6dH5R583/Z7XO1dcSjsgLGhMVtubmHSoUns7r8bV/v0mzrB65Clka4jM71fz009eRT5KM3r98LvUXtZ7TSvVyxaka19tmb9Df0LKQ6Sf9AkEPERwSycPBRDg9XMGtohWwu8uuWL09XVieXHblOvQnHsbQvpY+o5Rp1yxQC4+iAs06fiOUVMTAz37r3+A/3w4UOuXbuGra0tTk75r4naxrP3aFKlJOXsrFh3+i7R8clYmBjRr6nopLX00E3c21XF0EDF3isBpKgVnIpZ0rxqyTye+ZsoisLZW8GsPunPkxextKhWipRUNT6PXjChq0uWu7Frwu9xOO8PG8fdExvTHDM29uDcOXfq19duzNmzxZP/S5f0Kw6KIjpTb94M27aJRbqVFXToACNHiqf7unwr/pMwXbhw9ueoUondi3LlxJN9gNBQOHYM/voLVq2CH3+EEiWgVy/x1L9lS/2LhJ2dkIKFC0V51oxo3140m+vSBX4a5cb6Jbv4YE/+Fwh9rIn+TW6ueSTZRJFkieVeyxWj2UbK1ptb0xyb7zlfUc1UKfv892U6zke7PlKqLK6Srbm0XNUyW9f/l7MBZxXLuZYKM3njo9uGbkpiSqJe7yUpOAQHBytVq1ZVgDc+zIuUVGauPqyo1epsjR+XmKwM+uWY8tlqTyX1P2PFJSYrMfFJ2Rpf33z8x2ll7vareXb/EydOpPlaAMqQIUPSPf+qf6ACKFf9A3N3ooqi3At6qYxcekpJTE5RUlLVysAFR5UOs/cpK47eUhRFUU7ffKbM3nJFURRFUavVSv+fjygdZu9T/vJ+c64xCUnK7acRacY/dC1Q6TB7n7L2pL9Wx7RBrVYrV+4/V8Z6nFE6zN6nTF1/UbnzLFI57x+sdJi9Tzl0TffP6z8/O/5PI5TKbQak+3U1MfFQrurw7XbhgqIYGCjKN9/oPL00PHyoKLNmKUqFCooCilK8uKKMHq0ohw4pSqIe/kSEhirKuXPZHycrpKaKe332maKULSveT6lSijJpkqL4+Oj3XhMnKoqJiaJcv5618y9fVhRbW0WpXVtRNl4+oBjPMknzd3nwzsFKSmqKfieqA/paE2UFfa95JNlHlmrNIr9d/o0JDSfwfrX333h9/fX1fH74cwa4DKBLpS6ZjnPi4Yl8lSgtdxwkmtBUxjU+IpgfJg5m7vpjvIxNZPelhyiK9qVXzU2M+KxbLXwDw9l7+dEbx7aff8CQxSfY6nk/33Slru9cgqsPQvOszGyrVq1QFCXNx+rVq/NkPgBe90MZtew0S/66+eq1xORU5u/xYVL3mpgYGeIb+IKw6AQMVCp6NixLdHwyq074M+rvng8PQqIIj0nE0syI1jVeB6UnpaQyd7s36jz6fJ+7HcxX6y9haKDix0GNmDuwAXY25iza70uDiiVor+MOVGBoNJNWn+fS3RC6D/4E/+NpdxxMTDy4csWdOnW0GzsuDgYPFgnDX36p0/RekZgImzZBmzbiKf68edC8ORw5InINli4VOw4mevgTUawYWoVlZQcDA3Gvn34S+RIXLsD778PatSI3o149WLYMoqOzf6+5c6FSJfjwQ/H5zIx69UTeSFAQzB7sxsqOuzA2yJ9lXPW1JpIUTKQ8ZJHbYbfpXe3NeL07L+4wct9IjA2N+bbNt0DGnRAfRDwgOCaYIbXyR6K0FAdJZmQkEN9+Ooj/rTzMkkN+/PbXTdQ6CEStskXpVq8MwmARuAAAIABJREFUK47d5ml47KvX3eo60aJaKVad8GfYbyc5cDWQVLU62+8nO9R3Lk5UfDJ3g7TvzfK2suywH49Co9l9+REhkXGvmsF1rFOayn93VX4QIlZh1UoXwdbSjMUHb9CrYTlKWJsDEBQheog0rGj3qsJSbGIys7d60aN+2TzrMN2wkh3f9K/PgqFNqFW2KADLDvmRlJLKhC66hSvdeRb5d+PFBIaMmYT/sQ1pzjEx8eDqVXdcXLSf81dfQWCgWAgb6RiUHBgoxMPRUYT9pKaK8YKDRchPu3a6j53fUKmgYUP45Rd4+hR27hTVnz75RCRXf/yxSMTWFTMz+PNPkbw+c2bWrnFxgdOnRXWpGQPd+KN1/uwDoY81kaTgIuUhixQvVPyNH1RFURi8czBxyXEMrT2UsjZlWXJ5CReeXNA4xp0Xd+hfoz9FLYrmxpQzRIqDJKtkJBArZoykchE1+64E8OOua6Skar/AH962CraFzZi/x+fVU/2ihc34tLMLHmNaUsPJlkX7fRmx9DSnbj7TSVL0QRUHGyzNjLl0NzRP7p8fMTEyoLiVGV1cnTAzMWLuDm/sbCzo8a8keAsTIQTR8Un8sNMbM2NDutUr8+q4nY0FAMaG4s+R/7NIpm+6wvuNytMgD0v5Ghsa0KBiiVeS4Hk7mGO+TxnTsbpO1ZWuPQpj8p8XKGppyqU9K7idjjiYmnpw/bo71XWo/HrqlKg0NHcuVNGhQq2np4j/L19ePHn/4AOxcD51SpQTLZS/05KyjYkJ9OwJe/eKXI6JE4VMVK8uchIOHhQ5H9pSuzbMmiXyLM6ezdo1lSqJilUqFXw9wI3FTfOfQOhjTSQpuEh5yCLdKnVjyZUlr/5/rc9aLj69iKHKkClNp7DSeyVB0UE0L9Nc4xidnDuxuufqXJhtxkhxkGhLRgKxfPpIXIqrOOMXxKytXlqHGZmbGPFZ91r4PY5g2/n7bxxzsC3E1PfqsGREMxxsLZi7w5txy88SHpOQ7fekLYYGBtSrUJyLd0Ny/d75lY87VcfYyIC7QS/5ct1Fmlctlaa3QqsaDnSs7UgxK3PqlC/GxG413zhesZQ1w9tW4cLdEEYsPcV+rwC+eq8Otf9OUs8PvIhOYMG+6zSuZEdbFwetr/f0D+Z/Gy5TtkRhzuzw4NbR9MXh5k13KlfWbY4XL4rE3/Hjs36Nooik3mbNoGlT0UNh0SLRvG3hwtwr85rfKF1aJJ0HBMD69RAZCZ07iz4Sa9a87lWRVSZPFtWdPvpIVMLKCmXKCIGwsoL/9XdjQYP8JRD6WBNJCi4qRZdg5XeQiPgI3Na74WjlyLA6wxi1bxRPop7gbOtMjRI1aOHUgomNJ+bKXFqtbsXJj07qdK0UB0l2CAkJSVOFCcC8SEk++2k1Ps8VKpWyZla/ehQyM9Zq7JXHb7Pt/AMWDWtKxVLp12z0DQzn6PUnjO/ikiflPE/ceMr3O6+xfnxbilnl75Kt3nceU7eyE1f9A3O0VKuiKMQnpWJhmnuxLId9HjN/z3U+bFGRQS0rZfmYLiiKwv82XuZBSBTLRrXA2kK735FHfJ7w897r1C1ny+61i7l5eH2ac0xNPfDzc6d8+ezNNTn5de+EjEhNFRWTvvtOVGVq3FiEKnXtmnlZ1XcRRREL+XnzhGw5OQkhGD5chCZlhXv34P596NhRu3uHhYnckkePYMafB5ns/WYnaoDBtQbnehWm3FwTZWfNI8kZ5K+JLFLEvAinh56mc8XOfHrwU55EPcFAZcCkRpNY3m15rokDwPftvtfpOikOkuyS0Q7E/M8/oqGDEQ+fRzH5zwtExmYhQ/BfDGpZiXIlCvP9Tm8SNOxeuDjZMrFrzTzrA1CvQgkMVCq5+/AvVCpVropDbrPnSgBX7ocyqVtNrcXB83YwP+3xoVkVO/au/U2jOPj7Z18cIHNxSE0VvQdq1BBhSY6OIizp3DnR+0CKQ/qoVKLZ3N69ordF06bw6acixOvXXyEhCxuhzs7aiwOIZPLjx8Uu0NcD3Pimev7YgcjNNZGuax5JziF/VWiBiaEJA10Gvlp896vejzH1x+R6DkMjx0ZaXyPFQaIvMkyiHj+IxqVNKGxugoGWjeSMDQ2Y0qsOoS/j8TiSjSzFHKSwuTE1nIpw4e7zvJ7KO01SivqNf7N6TFsCQqNZfvQWPeqXpb6z9vkXdcsXY0irimxZvhDfw+vSHLexEeJQpkw6F+sRtRq2bBHJuAMHikXvpUsijr9Fi5xpIve24uIiGsDdvi1yISZMEGKwbJn24UxZxcZG9IGoXx9mfuDG1875owpTbq2JdFnzSHIWKQ9asuLqCkJiQzBUGTK95fS8nk6WkOIg0TcZCcT0jwdS1VbBylz77yunYpaMaF+NfV6BOj/d938WmaM5EY0q2eH9IIz4pJQcu4c+mTB6GN27d2fjxrQlQQsap/2CmLTak98PC7ncdv4B41eeY/flRxke04WklFR+2HmNkjYWafI4skpcYgo/zp3D9UNpxcHBIXfE4dgxaNAA+vUT4TYXLsD+/WjdeC4nWbwYzp/P61loR8WKIv/h1i2Ra/LxxyJRfcMGIWv6xtJSfN3atIFvhrgxpcwujMh7gSiIayJJ9pE5D1qQmJJIhV8q8DT6KSPrjuT3br/n9ZQyRYqDJCfJKAfCY+NuPujYQOsxFUVh+uYr3HkWye+jWmBTyFSr68etOEtAaAw9G5Slb5MKWGqZe5EZQRFxfLT4BP/rXZfm1UrpdWx9kls5D28ry4/eYufFh/wyvCkVSqafg5MRETEJtO07Eu+Df6Y55uQkyrEWzcFN62vXYMoUOHxYJOv+8IPYZciPFC0KX3yR/d4UeYmvL0ybJkKb6tQR+RFt2+r/PklJom/Ejh0waelBFjzrSQp5kwNRENdEEv0gdx604OfzP/M0+ilFzIowu/XsvJ5OpkhxkOQ0Ge1AjBjQg81HL2s9pkqlYlLXmigKzN97XesGdHMHNqRng7LsuvSIIb+eYPO5+xpzKHShVBELypUojKd/sN7GlOQvrj0KY9v5B3zUurJO4vAyLpF2/UalKw5ly3rg45Nz4vDsGQwZIhawAQFikenpmX/FQVFEQzYrq7yeSfZwcYE9e0Q5VjMz0Q+jS5fs9YlIDxMTkbcyaBD8NMqNMbZ5twNR0NZEEv3xTsuDoij029YPq++sWOm9MsNz77y4wzenvwFgQccF2Fna5cYUdUaKgyS3yEgghvbtzrZjV7Qes4ilKZO61eTS3efsvxqo1bWFzY0Z1qYKqz5pResa9qw56c/QxSfY5xWgUx+K9GhSuSQX7z7X23iS/EN0fDLzdvtQs2xRejfWPos5Oj6Jdn1HcfXA2jTHKlQQ4mBjk705Llsmqvf8m4SE1x2NDx4U59y4Ab165e+chsREkStQuHBez0Q/NG0qEtC3bhV5ETVrwrhx8OJF+ueHh2t/D0NDWLFChEr9+qkbwyx2YagHgXib10QS/fJOy8Olp5fYcnML0UnRrPdNWwXjH6ISo+i1uRfxKfGMqTeGIbXzR4doTUhxkOQ2GQnE4D7d2HnS69Vrl+89z9JOQKNKdnRxdeKPw34EhkZrPaeihc0Y61aD5WNaUrtsURYfuMHna89rvZORHk0q2xGbmIJPgIYVgaRAoigKvxzwJSEphc+718pSVa/z/iFs/bs/SWxCMu36juTK/jVpzqtUyYNr19yz/YTd01MsGvfs+WfOsH27qMYzYwaMHg1378KoUQWjE3T03z/ab4s8gJC1998Xuw7ffSc6dFeqBEuWQMq/UqUePoRy5WDXLu3vYWAgKj1NmQJ/THZjoEH2BeJtXRNJ9M87LQ/WZtYUMSuCaylXxtQbk+45AZEBtFzdkluht5jZciZLuixJ97z8ghQHSV6RkUB8+F5X9p72Jio+ibk7vJm8NmulXEe2r4adjWgOp23zuX+wty3ElF51WDKyOf2bOr/qGJwdKpS0oqSNOWdvydClt4mD3o857RfEp51dKGFtnun5uy8/YvbWK/g/fUlsQhJt+47g0r604mBj44G3tzuWltmbX0KC6C1Qv75oBnfrloirf/990Qn5xg346Sew1j7SKs94G+XhH0xNRS7HnTuie/XYsVCvntiZAChbFlq3FqKnaWciI1QqISdz5sCf093olbgLk2xUYXob10SSnOGdlocqxaowqOYgWpVtRdPSTV+9nqpO5WrQVT479BnVllRDhYojg44wo9WMPJxt5khxkOQ1mgQiLiKY/r06c8bLjx8HNSI0Kp7xK8/xOCxGw0gCM2NDpvWuy9PwWJYdzl7wcHk7KxpV0s/WukqlonnVUpy7HUxqTpRWkeQ6D0OiWHroJl1cnWhZ3T7Dc9WKwh9H/Fjy1016NSzHxG4utO83iot704qDoaEHZ8+6Y2GR/Tl++61oNLZ4MXz9NdSqJbpBHzwompfp2p06L3mb5eEf7OxEmNHFiyJnoVkz0W06NBSWLhVJ0BMm6Da2SiUStRcsgG3fudEhQvc+EG/bmkiSc8hqS8Bf9/5iyeUlBMcE8yL+Bcmpydia29LMqRndK3enffn2enlamZNIcZDkJzRVYbKwLcmOvYeoXc2Z/228TERsIjP71qOGk22G4x30DmThPl+m9qpDqxoZL+xyi9tPIxm/8hw/fNiQ2uWK5fV00iCrLWWdhOQUxnqcxcjQgEXDmmJqrLlKTWJyKvN2X+PsrWDGdKxGpzqladNnJJ67V6U519DQg8uX3alTJ/tzvH4dXF2hTx9R1jQoCKZOFWErWe1ynB85exaaNxe7KFV0q4hboFCrhUh8+aX47x9+EM39hg0TlZq6dtV9bA8PsYvRdvRBTtvr3on6bVgTSXIWKQ9vAVIcJPmRjARi94HDNKxZhdlbr3DrSSRf9KiV4dNeRVH4fuc1Lt19zuIRzXCwLZQjc9587j7Nq5bEPgvjK4rC4F9P0MC5OOM6u+TIfLKDlIess/bkHbZfeMCv7s1wKqY5tuhlXBIzNl/mQXAUX75Xh3oVitO270jO7kybXGpg4IGnpzsNG2Z/fqmpULeuiJGPjhbNyX77TfQaKOicOSOqQ507B6Xyb+VjvRMaCpMnw+rV0KSJyGF48ABu3iRbCfUbNsDgwdBkyEEultNdICSSjHinw5beBqQ4SPIrGkOYwoPp0bkjV27c5tuBDWhetSRzd3i/SjpND5VKxaddamBjacLc7VdJStF/CcLI2ER2X36I+9JT/HrAlxfRGTeaU6lUNKtaknO3Q0hVy2cwBZVUtcJhn8eM61wjQ3FIVav5Yu15giLi+HFwY+pXKE77fumLg0rlwfHj+hEHtRr69hU7DyYmsGmT6Db8NogDiF2HBw/eLXEAKF4cVq2CkydFxaULFyAsDCZNyt64AwfCtm1wcZ0btW/pHsIkkWSElIcCjBQHSX5Hs0AE0a1TRy5cu83knrUZ0MwZE6OMn4QVMjVm2nt1CQiNYfnR23qfq00hU1Z90pqhrStzyi+IoYtPsOLYbaLjkzVe06JqKSJiE7kRqEO9xXeUH3Z584eW+Ss5JWdBEXGMWHaK2uWK0a6mY4bnGhoY8FHryiwc2hTnkoXp0H8Up3ekLw5//eVOy5bZn5+/v+jPsGMH1Kgh8h369cvfpVcl2tGypWjoN22a2GFatQqmZ7NRc8+eohqX7043ql6TAiHRP1IeCihSHCQFBU0CERseROeO7Tl79RYfta5Mj/plMx3LuZQ1I9tXZfflR5y7rf9KR6bGhvRpUoE1Y1vTu1F59lx+xJBfj7Pp7D0SklLSnF/FwQY7a3NO3nym97m8jTwNj+W47zMqO2gXl2FooP/VcmJyKrO2XMFQpWJsp+pZuqZJ5ZIUtzKjY//RnNy+Is1xV1cP9u51p0OH7M0tJUXEwteqBSEh4un09esFq4qSJOuYmsLMmeDlBRYWIjF+6VJRhldXOnaEv/6CB4fdqHB5F4aKFAiJ/pDyUACR4iApaGQkEG4d2+HpfUvDlWnpVq8MTauU5Oe9PgRHxul7qgAUMjNmSOvKrB7bmnY1Hfnz1B3WnrqT5jyVSkXL6vacuRWUbxvGTRg9jO7du7Nx48a8ngqnbj7D3MSQhv+pehUVl6Thipxj2WE/nobHMq13XcxMstYQIVWtxm3gaI5vW57mWOvWHly65E6XLtmbl68vNGoEX30lSnv6+Iin03K34e2nVi0RujR6tOjlMXy4KM+rKy1awLFjEHzGjTIXdmGglgIh0Q9SHgoYUhwkBRWNAvEiiA7t23LRJ2uhSCqVikndalLIzJjvdniTnIOL9iKWpnzcqTorPmlFn8YV0j2nVXV7ouOTufogLMfmkR0WLlvJnj17GDBgQJ7OQ1EUTtx4RuNKdpj9Xc3oWXgs3+/0ZsjiE1nq+6EvTt54xoGrgXzcqTplS2StRqharabzwDEc3eKR5li7dh4cO+aOQTb+oiYlwaxZoqJSfLxoBvfTT+ilxKuk4GBuLpLh16yBjRtFWdfAQN3Hq19f7FzFeLvhcFYKhEQ/SHkoQEhxkBR0MhKIdm3bcNnXP0vjWJoZ89V7dbgb9JLVJ7J2TXYoaWNBEUvTdI+VtyuMUzFLGbqUCQ+fRxMYFkOrGva8iE7g1wO+uC89xfWAF4xoVxVLM+NcmcfT8FgW7felVXV7OtXOWhUqtVpNlw8/5vDmP9Icc3Pz4PBh92ztDFy/LhZ5c+aIEp5Xr6KXZGtJwWXwYCGQL14IoTx2TPexatYUVa2UO26UOCEFQpJ9pDwUEKQ4SN4WNAlEzIsg2rRujdeNN8ODYhKS8Uwnv6GKQxGGt63CtvMPuHg3JEfnnBEqlYpW1e3x9A8mQccu2O8CJ28+w9LMCJ9H4QxdfIKTN4MY2royqz5pTee6ThgZ5vyfo6SUVOZuv4qNpQnju7ikqVUfGZvIt9uvEhHzehdErVbTbdDH/LXx9zTjdevmwf79uotDairMmyfEQVHg8mWYPVvEwEskderAlSuiTG+HDuJ7Rdc8iEqVhEBYPHXD9sguVFIgJNlAykMBQIqD5G0jI4Fo1aoV3jfvvnrt8LXHzNrqxYYzd/lvW5r3GpajYcUS/LTbh9Co+FyZe3pUL12E+KRUNp29h1q2zklDWFQ8B7wCSUhOZZ9XAO81Ks+aca3p06RChg3Z9M2KY7cJCI1h2nt1sTB9M8/hcVgM41ee40ZgOBF/h1Cp1Wp6DPmEAxvSikPPnh7s2aO7ODx6BG3aiCZvEyYIcahdW7exJG8vRYvCgQPi+2TyZFFtKyYm8+vSo2xZIRDFI92wPigFQqI7Uh7yOVIcJG8rGQlEy1atuH5LCESvhuUY1LISa07eYeF+3zcSk1UqFZ93r4WJsSFzt+ds/kNGmBobUsjUiI1n7zFo0XGWHfbj5uPwd1okImIS2e8VwOQ/L/DhouNEJyTTwLkEq8e24qPWlXMtTOkfTvsFsevSI0a0r4pzqTfLFvkGhjNxtScmRoYsHNqE8nZWKIrCe0PHsW/dsjRjGRt78P337jrNQ1FEPHvNmhAQIOLRf/jh9W7D/v2iGdy7wsiRYmEs0UxUlKjAtH07HDwoQtrupK3fkCXs7eHUKSib7EahvVIgJLoh5SEfI8VB8rajSSCiw57RrEUrfG/fQ6VS8WGLinzevRZHfJ4wffMV4hJfl021sjBhWu+63HkWyR9HtOsfoC+qOhZhcKtKGKhU1KtQnFM3nzFp9Xk+WHiMXw74cvnecxLfkZCmvVcC+GzNeQYsOMrigzcxNFBRw8mWYoXN+LqPK7aWZrk+p4DQaObv8aFVdXu61yvzxrGTN58xdd1FyttZsWBoE+xsLFAUhd5Dx7J77ZI0Y6lUHvTp465Tk7awMHj/ffjoI3jvPZHr0KLF6+MhIaLJ17x52o9dUPHzE+9bkj6PH0OFCrBzp/ieuXRJhLvVry96OehC8eJw4gTUMHXDbOcuVKlSICTaIeUhnyLFQfKukJFANG3ekpt3ROfp9rUc+XZgA249ieCzNecJi3pdw7CaYxFGd6zGnssBHLv+JFfn/w+tqtujUkH5klasG9+W+UMa06q6PV73Q/nfxst8/MeZPJlXbnPzcTiFTI2Y0NWFTZPaMatfPR6ERNG+liMGeVBvNDYxmdlbvbCzMWdC19d5DoqisPncfb7b4U2LaqX4dmADLM2MURSFPsPGsXNNWnEwMPCgWzd3Vq9G68pKBw6IRm+nTokOwKtXg5XVm+dMngzGxvDNN7q914JITAxYam7s/c7j6CgqLo0fLz5XVasKgWjTBnr0gBkzRBdybbGxgSNHoFExN4x3yD4QEu2Q8pAPkeIgedfISCCaNG2B310hEHXKFePnIY2Jik9i/KpzBIZGvzq3q2sZ2tV0YNF+X+4HR+Xq/EF0qK5foTjHrj999bR9VIdqrB7bmj9Gt2B0x2q5Pid9ExmbmGk/iyk9azO7f3061XHC2sKEi3eeE5uYQlsXh1ya5WsURWH+nuuExyQyo089zP/Vz2GfVwArj99mYDNnvuhRC2NDAxRFoZ/7p2xf/VuasYyMPGjd2p3Nm8UCP6vExsKYMdCli0h89fWF3r3TnnfmDKxdC99/L+Lc3xViYqBQobyeRf5FpYJffhFVl2bOFK9ZWYkQprlzhWh26wYREdqPbWkpwuTal3VDtXkXRiopEJKsIeUhnyHFQfKuokkgosKe0bhpC/zvPgCgnJ0VvwxrSmV7G6wsXv88qFQqPu3sgmNRS77Z5kV0fHKuzh+gbU1H/J9F8jjs9c+vSqWiTPHC1HcukeG1sYnJfL7mPMsO+3HE5wn3gl7mWaiToig8fxnPpbvP2XT2HnO2eTHk1+P0+/ko/s8iM7z2vxWMjvo+pZK9NaWL5f7j5S2eDzh3O5jJPWrjUPTNFWobFwem9a7LkNaVUalUKIrCwBHj2bpycZpxTE09qFfPnV27wEyLqKtr14QwrF0rOgbv3w+lSqU9LyVFNIRr0ACGDdP2XRZsYmOlPGRG2bLw9dewcKEIdQOx8zV1qsiBOH8e6tV7fUwbzM1hxw7oWcMN9XopEJKsoVL+W75EkmdIcZBIICQkhNatW3Pr1ptdp62L23PJ8yyVnMtleH1QRBxjl5+lWukizOpXL1dDZZJSUun/81G61y/LR60ra3Xt85fxeBy9xd2glwRFiM7ZKqBkEQscbAtRqogFH7aoiE2hrNXx9L7zmLqVnbjqH0idSlnrZ5CSqmbiKk8ev4ghPkksFixMjahgZ0XFUtZUdrChbvliWJln7XdRZGwiAxceY1SHavSoXzZL1+gL74dhfLX+Iv2aOmf6tVAUhQ9HTWCDxy9pjllYeFChgjunTkGRIlm7t6LAkiXw2WcizGTTJqicwRR++w3GjYOLF0Us+7tE4cKiOd6kSXk9k/xNUpKoxlW0KJw+/WbH8YcPRT7EnTuwfDno0g8yJQXc3WGN50GMPuhJCm92fR9cazAru6/E0CD3qqNJ8i9GmZ8iyQ2kOEgkgn92IP4rEC9Dn9GgSTMunz9LxQqaBaJUEQu+7FWbrzdeZsOZe3zYQofMVh0xMTKkRbVSHPd9+iqBOquUsDZnWu+6AMQlphAQGk1AqGis9iw8Dt+A8Ex7IWw4cxdP/xAMDVRERb0EoHuv9zE0MqJs3Ta4dX+PKb3qaLzeyNCAaqWL0KJaKUoXs6Rs8cLY2Zin2U3IKqf8ggCRD5KbPH8Zz3c7vKlTrhiDWlbK8FxFURg8emK64jB6tAfFi7vz8cdZF4eICBg+XCS4jh0rkp8z2q0ICxNPlYcNe/fEQVHkzkNWMTGBxYuhbVtYtw4GDXp9rFw5OHcORo0SCfeXL4sKXtqE1xkZwcqVUGicG0vW7cLww56k/ksg1vqsBZACIQGkPOQLpDhIJG+SsUA05/L5sziXL6vx+vrOJfiwZSXWnbpDZXvrTEOG9Em7mo4c9H7M9YAX1C5bTKcxLEyNqOpYhKqOWVyx/k2pIhZULGVNqlpNyN9/+D/84gcc7IphYmRAmeKFMx1jTMfqOs05PY76PKF+heJYW+Te77CklFS+2eaFmbEhX/aqg6GBZvFRFIWPxkxi3R+L0hwbO9aDX3/Vrhzr+fPQv78orbljB/Tqlfk1e/eKRfTcuVrd6q0gIUG8dykPWaNNG+jbF774Qnxv/TvR3MJChMc1aCB2ca5ehc2bwc4u6+MbGAhBKTTFjXlSICQZIMOW8hgpDhKJZjSFMNmUcODKhbNUKFdW47VqRWHG5iv4PQ5nsXtzShWxyNnJ/o2iKAxfcooqDjZM7pl3Xb90CVvSJw9Cohjzxxlm9HGlSZWSuXbfRft9OeLzhAVDm1DxP/0c/o2iKAz9ZBJrli5Mc2zCBA8WLMi6OKjV8OOP8L//iRr8GzZAmTKZX/cPYWFQTDfPLNAkJMB334nytS4ueT2bgsGTJ2JnoWdPNDYoPHMG+vQRuwk7dgih0AZFgTlzYPrag6gG9EQxlCFMkjeRCdN5iBQHiSRjNCVRRz5/Sv1GzXjwKCDd6zxvBxMWlcDkHrUpbG7CN1u9SMil5GOVSkXH2o6cuRVEbELuJ23nFw5de4xNIRMaVMy9XZ9D1x5z4Gog4zrXwLmkFRvO3GXnxbQd1xRFYfjYz9IVh0mTtBOHkBBwc4OvvhKlVk+e1E4c4N0UBxDhXLNmSXHQBkdHseuQUSRh8+bg5QWlS4v/Xr5cu3uoVCKUbv4YN5SNuyBFJlFL3kTKQx4hxUEiyRqaBCLi+VPqNWrKw/8IRHKqmuXHbjNh1Tmev4xjeh9XnryI4dcDvuTWRmu7mo6kpKo5efNZrtwvv5GUkspx36e0q+mYaZ6GvrjzLJJfD9ygc10n2ro4sHC/L2tO3nmjoSAIcRgx7nNWLVmQZozJkz2YPz/r4nDsmEhivXYN/vpLhB5pE2cukeQUDg5CZIcNgxEjRCfvxETtxpg0CX7/wg02S4GQvImUhzyIvRYUAAAgAElEQVRAioNEoh0aBSJECMSjgNcCYWxowE9DGmFracZna87zIjqB8V1cOHr9Kfu80t+p0DdFC5tRz7kEf117nCv3y29cuPOcqPhkOtZyzJX7vYxL4pttVylnV5iPWlVm+uYrHPF5wufda/HBvxLmFUVh5Kefs+K3n9OM8eWXHvzwQ9bEISVFhCi1bw/Vq4OPD3TooLe3I5HoBVNTUSJ4xQqRD9GihQh70oaRI+HP6W4YbJECIXmNlIdcRoqDRKIbmgQiPOQprg2b8Sgg8NVrtpZm/DS4ETXLFGX6piskpqjpXr8Myw754fdEh25KOtCpdmnuPHvJw5Dcb1iX1xy69piqjjY4ZSFBO7ukqhW+3+lNYnIqYzvV4Mv1F7n1JIJvBzag/b/kRVEURo//guWL04pDgwYeREZmTRweP4ZWrUQztzlz4NAhKJl7KR0SidYMGwZnz0JQkOg7cvKkdtd/+CFs+94Ng61SICQCKQ+5iBQHiSR7aBaIJ9Rr1JSAwNcCYWZixIy+rnRxdWLRfl9MjQypZG/DnG1eRMRouX+vAw0qlsDawoTDPlo+6ivgPH8Zj9f9UDrWzp0k7bUn/bn2MIyhrSsze5sXUfFJ/DykMXXKvU4kUBSFjyd+wR+/zk9zfatWHly65E7Nmpnfa88eEaYUGCgWYF99BYYyZ1RSAKhXT+RBuLhAu3awYIFIjM4qvXrB/oVuGG2XAiGR8pBrSHGQSPSDJoF4EfwE14ZNCfyXQBgaGPBJp+q4t6vC1vMPsLU0Ra3A3B1XSVWrc3SexoYGtK3pwDHfpySn5uy98hNHrz/BxFj0u8hpPP2D2XTuPh80r8iK47exNjfhl2FNKWdn9eocRVEYO2kyyxalFYfOnT04edKdOXNgzBjN90lJgS+/hB49oFkzkePQrJluc05I0O06iSS7FC8udsomTRIfH3wg+mxklU6d4OhSN0x37kKVKgXiXUbKQy4gxUEi0S8ZCkSjNwVCpVLRp3EFvnqvDlUdizCtd11uBEaw4tjtHJ9nx1qleRmXxIU7ITl+r/yAWlE47POEFlVLUcg0ZzOHn7yIYd5uH5pWKckHLSoyuUdtfhrSmKKFX3dkUxSFcZOmsGThT2muf/99Dw4edGfiRLGDoInQUOjYUTR7mzcPdu0CW1vd5vzwoaiWc+aMbtdLJOmxcSPMmJG1c42MRFnhLVvETlrjxnD/ftbv1bIlnFrhhsVeKRDvMlIechgpDhJJzqBJIMKCnuDaqNkbAgHQsro97zcuj4uTLSPaV2X7hYecyuFqSGVLFKaKgw0Hvd+NxOnrj14QFBFHxzo5G7IUn5TC7K1eFLU05bPuNVGpVDSoWAIL09d9TxVF4dPPpvDbwnlprh8yxINdu9wZPBh++klz2ctLl0SMuK8vHD0Kn3+ecYnMzJg+XVRjqltX9zHeJsLC4M6dvJ5FwefZM/j2W7itxfOQPn3g4kWxE1avHhw4kPVrGzaEc6vdKHxACsS7ipSHHESKg0SSs2gWiMfUa9SMx4/TX7T3alCWVtXt+XnvdR49j87ROXau68TV+6EERcTl6H00MWH0MLp3787GjRtz/F77vAJxKmZJjdLadcbWBkVRWLD3Os9fxjO9j2u6OxyKojDh8y9ZvCCtOIwe7cGWLe507izq3xuk81dQUeD330WNfAcH0a23devszfvaNVi/HmbOlB2V/2HdOilS+mDsWNHTYepU7a6rXl0IcvPm0LUrfPONaHiYFWrVgkvr3bA9vAukQLxzSHnIIaQ4SCS5gyaBCA16TL1GTdMVCJVKxcSuLpS0seCbrV7EJuZcM7eW1e2xMDXi4NXAzE/OARYuW8mePXsYMGBAjt4nIiYRT/9gOtd1QpWdx/OZsPPSI075BfFZt1rpVnNSFIWJX3zJLz//mObY9997MGCAO+3bw6ZNIoTjv8THi+o0o0eDuzucOiVCjbLL1KlQsaIYWyKIiwOL3Gn8/lZjaip2Hnbt0j4kzsZGXDdrlgh96tkTXr7M2rWVK8PljW7YnZAC8a4h5SEHkOIgkeQumgTi+TPNAmFmYsT0Pq6ExyYyf7dPjjWQMzM2pF1NRw75PH6rE6cPXXuMoYGKdjVzrrfD9Ucv8Dhyi/cbl6d5OgnZiqIwafJUFs1PKw7z5nkwZYo7LVrA7t1gbp52/IcPoWlTIRZr1sBvv4mFWXY5c0Y0kZszRzaR+zdSHvRH//7g6iq6nGv7q8zAQHSU3rdPfK/Wrw83b2bt2nLlwGuTG45npUC8S0h50DNSHCSSvCEjgajfOP0QJoeihZjcozbn/EMYv9KTyNicKeHaua4TkbFJeN4OzpHx8xq1onDAO5CW1e0pbK7/1bGiKOy88IAv11+kWukiDGtTOd1zPps8lYU//ZDm2Pz5Hnz+ecZ9HA4eFIuvly/h/HkYPFhfc4dp06BOHejdWz9jvi3Ex6cvcRLtMTAQvUcuXBCJ0LrQuTNcvgxmZiKvYevWrF3n4CAEosx5Wcb1XUHKgx6R4iCR5C2aBCLkaSANNAhE48p2dHF1wv9ZJEMXn+TUzWd634UoW6Iw1UsX4UAehS7lNF73QwmJjKdLXSe9j/0iOoGvN15i2ZFbGBsaMKlrTQz/k6igKApfTPmKBemIw88/ezBpkmZxUKth9mzo0kVUnrlyRfRy0BeHD4unuXPmpJ9f8S4jdx70S7t20LatqB6WquNa3dlZyHO3btC3r9jJSEnJ/LoSJcB7ixslTkiBeBeQv8r0hBQHiSR/oEkggjMQiHFuNWhapSQJySnM3eHNnG1X9d5IrqtrGa49esHjMPE7YsmSJZQrVw4zMzNcXV05k0Gw8urVq1GpVGk+EvJJ04D9XoGUt7OiioON3sZUFIUjPk8YsfQk1x6FY2pkwC/Dm+JQtFCa87748ivmz/s+zRgLF3owcaJmcYiIgO7dRRLzzJmwdy8U0XOut4UFjBoFbm76HfdtQO486J+5cyEqCh480H2MQoVgwwb4+Wfx0amTqIyVGUWKwL2DbpQ8JQXibUfKgx6Q4iCR5C8yEoiGTdIKhEqlYkrP2lQsZY2lmTE+j14wctkpTtx4qrddiGZVS2JlbswB70A2b97MhAkTmDZtGt7e3jRv3hw3N7c05WX/jZWVFUFBQW98mJmZaTw/twiNiufi3ed6TZQOi0pg+qbL/LTHh6KFzUlRq/m6jytl/pMgrSgKk7/8ivk/phWHRYs8GD9eszj4+IgSlZ6esH+/KKOaEzsDzZvDsmXZK/H6tiLlQf80aCDEoWLF7I2jUsHEiXDkCFy/LkL6vLwyv65wYXhwyA37M1Ig3makPGQTKQ4SSf5Ek0AEPQmkYZPmaQTC1NiQGX3rYWZiSHFrc1zKFOX7ndeYtUU/1ZhMjAxpX8uRIz5PmD9/PsOHD8fd3Z2qVauycOFCSpcuzdKlSzVer1KpKFmy5Bsf+YFD3o8xMTKgjYu9XsYLCI1m5LJT3AuOomeDsgSGxTCyXVXqO5d44zxFUZgydRo/pSMOv/ziQWSku8a693/+CY0agbW1WBDJXYG8IT5exNdL9Is+k/JbtxY/I3Z2opjA6tWZX2NuLgTCQQrEW4uUh2wgxUEiyd9oFogAGjVNKxBFC5sxq289nobHYmSgYlrvOqhUYGacTk1PHehc14mX0XF4Xb1Khw4d3jjWoUMHPD09NV4bExNDmTJlcHR0pGvXrnh7e+tlTtkhVa3m4LXHtK5hr7eO0qWLWdKnSQUmdavFfq9AOtUpTa+G5d44R/k/e+cd1tT1xvFvGLIEFBVFme69cQ+ciAP3ah3V4kSt2vrTurUqttq6J+6FWlTc1gnuiYgVFZW9l4AgK8n5/fEWESEQIBPO53nyoPfenPveJDc53/MuxrBg4SKs+90lz/O3bnVFcrITli0jr8LXZGYCzs6UDD1qFHDvHlWL4SiH7duBrVuVbQWnMCwsgNu3gbFjgQkTgOnT6V4qCB0dIPCaA2rc5QKiNMLFQzHhwoHDUQ8kCYiI0PwFRG0zY/xvYDN4+UUiJC4Vy0a0hqaGbGJOzCuVR51KmhCLRKhatWoeO6Oi8q/GVL9+fRw4cADnzp2Dm5sbdHV10bFjR7x7904mdhWXx+9iEZecjn6trGQ2poZAgO6Nq2PdWR80MK+AGQ6Nc4VDMcbw68LF+GNtXuGwbZsr9PScsHgx1a3/uqdCWBjQtSvg6kphRPv28ZAZZWNuDljJ7qPDkSO6unTv7N4N7N0L2NlRZ+uC0NYGgq45oNlrLiBKG1w8FAMuHCTDRJLLMjCR/BpxcTgFUZCAaJ+PgOjUwAzj7erisJc/bvtFytSW7D4IEd90nGaMScwZaNeuHcaMGYNmzZqhc+fOOHnyJOrWrYstW7bI1LaicuFZMOqaGaOOmbHMxvycIcSyE0+hr6OFxcNaQVsz52eKMYaFixbj97Vr8jxv+3ZXWFo6YfJkavC2ZEnOPk9PitkOC6PKR1Om8BwEjuIoqFpRlpr9LE6aRF6IkBDqDl5YUzotLeD53w4YksUFRGmCi4ciwoVDXlL8HyBkz3S8mtMQ/r/1zJVgKs5KR9zNvfD/rRf+nVUHaaH/KtFSTllGkoAIDw1G+05d8giI0Z1qw65Rdaw/64N3kVK2XJWCPm0bQKChgUv3X+baHhMTk8cbIQkNDQ3Y2tpK5Xno2aElqlWrhlatWsHR0RGOjo5wc3Mrlu1fExafgqcfYuFoa13isbIRM4bfPXwQnZiG5SNaw1g/5/s0WzisdckrHHbscEWLFk4YMYJKTG7dSuKAMWD9eiph2bgx4O1N9es5HHnj6UmlTg0NgYYNczduS08HNm6kz6SODqACEYhFom1byoOoXx/o3h3YsqXgxnQCAeDu4oDvtbiAKC3IJpC3jMCFQ26YKAsRJ5dDoK2DrORYiDNSYTZ0yZfV07Sw14g4sQQGtdsgMzYYxq0GQM+isZKt5pRlsgVEt27d8Pr16y/bw0OC0KFTF9y/exsWFhYAKEF57oCmmPfxM5adeIItP3ZCJcPc2Z0ZWSLcexOFbo2rS11pSF9PFzXrNcbNGzeQvNgZRnr0vXHt2jUMHDhQqjEYY/Dx8UGTJk0KPfb6fW+0qGsh1bhF4fzTYBjrl0PXRnk7PRdE1MfPOHrnHZwdGkNXWzPXvv033+Lxu2isGGkLa9OcykqMMSxanL9w2LnTFd26OaFDB1oJPXYM0NQEPn2isCV3d2DBAuC332gVVN7ExgIVKvBO0vnBGMXKp6RQj4e0NJpIZ2bSQyik/gTirxqxa2jQQ0uLXlMdHQqh0dOjMrgGBvR/VfEkZWUBs2aRTVFRdK0bNuTY5+tLeTddugDv31PuTYsW8rWJMXrIsppY1apUiWn+fLreJ08oHFBS3w6BADiyzAG6v3tgb8ogQCsnaeLQi0MAgH2O+6CpoZn/AByVgosHKeHCITfijM8I3jUZFdoOQUbUe3x+/xgV24+AUZMeAICUN3cRdX49LCdsRrDrVAi0dWA2bKmSreZwJAuIsHwEBFVgaoVZ++5h+YmnWDe+fa4J70P/aPzu4YPrvmGY3b8pTI2lC6L/df48TPpxAuav+guzxgzE7t27ERISgqlTpwIAxo0bhxo1asDFheL6V6xYgXbt2qFOnTpITk7G5s2b4ePjg23btsnqZSkSnzOEuOoTBkdbK5TTku7HXswYzj8Nxr4bb2CsXw4xiZ9h+VXp1WsvwnDy/gdM6dUAberkVFYi4bAELmvyFw5TplCokqkpddbV0wMCA8kDERICnD4NDB5c8muWlqlTqUv19euKO6ey+PyZ4t4jI+kRE0OP2FggPh5ISKBHYiK9JsnJ0jUcKyqamrTCb2xMDxMTelSuTA9TU5rsVqsGmJlRroWBQeHjFpXUVPqsjRsH+PlRSM/EidSAEABu3AAWLwaOHgWGDaPP6oYNsrfja9LTyfM2ebLsuqZno61NfSBsbYEffwRevqT7raAiBHvmO0B3kwe2xXEBoc5w8SAFXDjkhomECHadigpth0DLqArCDs2FtkmNL+Lgc5APIs+4wGbWUcRc3oz00FeoPmoVtI2qKNlyDocoSEB07NwF9+7kCIhKhrpYPqI1fj5wH3+de4Ffh7T44mXo2qg69HW0sPHiS0ze6YVJPRtI1e/gx/FjcOG+Hw7v3Ih965ehcePGuHTpEqz+yx4NCQmBxlfLhImJiZg8eTKioqJgbGyMFi1a4Pbt22jTpo2sXxqpuOYbhvQsEfq3li7bNSIhFX+d98XLkAQMaG2Fid3rQ18n5+fnVWgCNl18iT7Nc1dWYoxh8eIlcFmzOs+Yu3a5YvJk6uOwbRtNUk1MaMI2ZAhNIh89Ar6JUpMr794BZ84ABVTcVStSUoAPH2iFPCgo5xESQvkjCQm5jy9XjibqVarkTNzr1CFPjLExYGREk3wDA1qh1tOjFXodHZqIamuTEPh6hVwsJm+EUJjjocjIyPFcpKTQIzmZHomJ1PwvPh4IDqbmZtHRNInOpkULCmGTJUIhMHQoVSSqWpUm6paWOeLg8WPq1nztGnnBnj+nalNSRioWG11dev3/+AMYM0Y+vUxGjwYaNSLh1KoV4OYG2NtLPn7rTw7Q3eWBP8O4gFBXBExWHZBKKVw45CXixFJoljdB5W4T4P9bLwiTomE94zAMG3ZBVlI0AreMhfW0fciMDULgljHQNW+E2vPPQyCPby0OpwRER0fnERAAYGFlnUtAAMCd15FY5e6NsV3rYkyX3B2YUtOzsPv6a1x5HormNpUwp39TVKsgwX//H28jEjFr7z0sG9EKHerJvmfDc/9QtKxnCe+3ITINWxIzhkk7vGBjaoTFw1oWeuzZx0HYf/MNKpbXwZwBTdHcunKuY6ITP2Pm3nuwrFweLmPafkmQZoxh8ZIlWLO6YOHwNfv20cp/x44UrlSpUgkutBhMnw6cOkUTbHWp5CQWkxh49Qp484Yeb98C/v406c7GwIBWlK2saFJsYUEr+DVq0Gq+mRkJBFUJH/oaxkhgZHtI0tKoa7IsmTmTxNKsWZTLEBEB/PMP0Ls3nbN3b+DCBRKYvXuTgHnyRD6T+W+5c4fCpC5cyPGCyIOPH4HvvweuXAFWrQJ+/bXgz0OnCZdxzzy3gACAcc3GcQGh6jCORO4G32Xl15RnWI5cjwHHBrAMYYayzVMKH5+cY0G7pzDGGAveO4P5TrNkwXtnMMYYE4uE7MPGUSz5lRcTfk5irxe2Y77TrVhqwDNlmszhFEhUVBRr0KABA5DrYWFlzUJCQnIde/S2P+u98gLzehWR71hP38ewMZtuMEeXy+zck0AmEosLPPesvXfZ/w4/kNm1fI332xAGgHm/DSn84CLw9H0M673yAvMNji/wuI8p6WzO/nus98oLbPuVf1laRlaeYz5nZLEpO73YuM03WGJqzneqWCxmCxctyvOeAGC7d7vmGUcoZGzuXIrsnjyZsczMkl9nUYmLY0xPj7GVKxV/bmlJSmLszh3Gtmxh7McfGWvblrHy5bMj4hnT12esRQvGRo9mbNkyxg4fZuzBA8ZiYhgr5KNcLJYuZezpU9mPq2iOH2ds6FD696hR9FqOGkX/FwoZ696dsX/+YSwxkTELC8YEAnpdFYVYzFi7dox17iz/c4lE9L4CjA0eTJ85SYSEMGbU6hLD4nJ55lnjzoxjQpFQ/gZzigUXDxLgwiEvGfFh7O2K7iwr5SNL9L7EfKdZsn/nNmaZidGMMcaiL29lEe70yxlycC7znWbJQg/+rEyTORypkCQgLL8REGKxmK055c0GrLnE/CMS8x0rJT2Tbbroy2bsucOEIlGB573hG8Z6r7zAgmKSZXo9jMlPPCxxe8ym7rrNxIXMJoUiEVtzypv5BsXlu18kFrOlx5+wQWuvsMDonOsXi8VsURGEQ1ISY337MqahwdimTfKZ5EqDiwtjOjo00VYFkpIYu3WLsXXrGBs5krFatXJEQrlyjDVvzti4cYz98Qdjly4xFhxMEz9FkZVFtuzfr7hzyoPgYMYaNGAsPp6xU6fomoyNGYuMpP1r1pCwZYyx8eNp/w8/KN7OM2fo3A8fKuZ8584xZmTEWL16jPn5ST7O35+x8s25gFA3uHjIBy4c8iIWi794FbJSPjK/+a2Y7zRLFntrP2OMsbTwN8x/dR8mykxjn17fIWExuwHLTIxSruEcjpRIFBDWNrkERHqmkM3Yc4eN3nCNxSWnSRwvI6vwH71MoYiN+usa23TRVybX8DXyEA/h8SnMfuUFduV5ycfcc/016/PbBfbIP/rLtqIKhw8fGGvUiCZrV66U2KRik5nJmLk5YxMnKuf8IhFjr14xtmcPY05O9JoIBDnehE6dGPvpJ8YOHmTsxQvGMlTgZywlhew7dkzZlhQfsTjHqxAfz1jVqnRNW7bQ/pcvGWvWjLG0NMauXaN95cszFpG/41KuCIUkIEePVtw5375lrGFDuubTpyUf9+IFY7pNuIBQJ3gQ+jfwHIf8SbhzFNrGVWHYsAsi3VdCmBwLPcsmqNRlHBhjCD/2K6qPWAEwIPzYrwCAKvbO0DaWczYYhyMjJPWBCAkKROcuXb/0gdDR1sTyEa0hgADLTz5FRlb+9cmlqUKkramBvi0tcd03HCnpqt8t6vzTYBjqacOuUfUSjZNdWcmpZ05lJcYYlixZgtX55Di4urpi0iQnhIfnbLt9G2jThhJhHz4sOEFT3nh4UALxrFmKOV9mJvDgASXBDhhAsfaNGlFFncePKedj717g338pifjOHeorMG4c0LQpJTYrm4wM+qujo1w7SsKuXUD16pTDMGcO5Yi0akW5L4xRM8LsHghTptBzFi6k/BBFo6lJn8+//6bPqiKoW5fuzT59qIjBokWU/P4tTZsCt3Y7QPs07wOhLvBqS1/BhUP+ZCVGI/bqDtSefxYpb+8j8dEpAIDZ8OUQaGgg4d5x6JjVgUHtNoi+uBGZcSHQrmCGyj1+zDNWkvdFxN3ci7SQf8GEGYCGJvQsm6CC7SBoG5sWa1/lbhMU/ZJwSimSqjAF/ycg7tz2goWFBVVgGvlfBabzvlgwuLnUfR6+pW9LS7jdfY+rPqEY0q6mrC5F5qRlCvGPTyj6tbKCjnbxExmzKyvZNzfHkP8qKxUmHJycnPDmDdC+PeDiQlV5pk0DOnWiyZCiE6O/hTGamDdrJp/xs7KAp0+BW7eAmzeB+/cp6dfAgF6T2bPptbC1pWpG6kB29SN1FQ8REcDatSTWbt0CDlGhIGzeTEnQe/dSc7jOnYEVK4CAAEownzMn71h//03i7tkzElWamiRCxoyhRGxZMWEC8PvvVGnK3Fx24xaEoSFw8iQ1a1ywgD7Hx47lvWfbtQMubXJAn5keEA3jVZhUHiV7PlQGHqokmaDdU1mc12Emykxnb5d3y5UkLfycxN4u78ayPsWzzIQI9vKnesx3miVLuH+ywDHjvA4z32mWLPKMi8z2cTiyQlIIk9U3IUy3/SJY75UX2BEv/yKNn5ElZGFxKV/+v+aUNxu/5WahCdZFQdZhS+efBrE+v11gUR9TGWOU03DuSaBU4VnZRH1MZSP+vMrmHrjPMoUUYF9QqJKrK4UqxcQwZmNDseXOzhT+MWWKchKjFYFYzNi//zL211+MOTjkJDUbGjLWrx9j69cz9vixel9/QABd0/XryrakeAwbxtiOHYylp1NcP5ATEpSYyFj9+ozFxjIWGkqhY9Lkd+zYQcfNny8/u5X5mbl2jbFKlRiztmbM2zv/Yzw8GFu47xLDEh7CpMrwsCVwj0NBfPLzgjAxCiadvkO8535kRH+AQEsH1QbOBwBEX9wIk67joFXeBNGXNoJlpkHHrA4qtB1a4Lga2rTcJNDKu+xU3H0cjqyQFMIUHBSILl+FMHVuYIZxXevikJc/bvtFSj3+2SdBmLr7Nv5+8AEiMcOgNtaI/PgZT97HyPQ6AGD21IlwdHSEm5tbscdg/5VcbV+vGqpW0EdgdDJ+2ncf26+8gm9wQuEDgDwXy048ha62JpYMawltTQ0wxrB06dICPQ7p6cCgQdQxulo16qGweTP9LU1dnOPjgePHqamYhQWV+1y4kPoHLFpEPSsSEqjc5s8/k5dBna8/87+FZVUIoSoq//wDhIdTmNjmzVTaVkeHvGIAeRqcnSmcbMUK6knRsGHhTdp0dXP/lQfK/Mz07EneFRMToEMH4MiRvMcMHAisnuCAQw4eEIh4CJOqUubDlrhwkIw4Kx2Rf6+ApdN2iDNSEHuVOh9V6joO5SqZIz3qPVLfPYTZkEXIjA9D4kMKZ6rabw7v6cBReySFMAUFBaJL16647UUhTN91ro2QuBSsP+sDs4r6qGNmXOjYA1pbIyElA3uvv8Hd11GY278J6poZ4+zjILStI9s8oY0795W4z4NPUDxC4lIwzb4hjt5+h2N33qG6iQE2TOiI+jUqFPp8MWP4/YwPohPTsGFCB1Qw0PkiHFatWpXn+GzhwBh1rn36lPoJeHsDly9TjLm6wxjg60ti4OJFig1njETDqFF0jZ07q0+/iKKirjkP6ekUJnbyJAnatWtp+4wZ1APjzRvA0xNYt46a1B08SPuXL1dMTwdVx8oKuHuX8kLGjqWwrz//zCtqxrZ3gJaWB74/PwhMk4cwqRpl+qPMhUPBxF7ZBqPmfaBboz7ibu2HKDURGrrlUcV+OgAg8uRymA1eCIGGJuJvHwYTZUHHrA6MWvRVsuUcjmyQ5IEICiQBERoaCoFAgLkDmsLK1BDLTzxF/Kd0CaPloKutiSm9GuLPH9ojJT0LznvuoWoFfTwLiENoXEqhz1c0Zx8HoXpFfey5/hpHbr/D8A61sG1SJ6mEAwAcuPkWD/2jsWBIc1ibGkolHABqNHXsGE0wNTVpgq3OwiEtDTh/npJnLS2B5s1p8lmtGuDqSomsL19SfHjv3qVXOACAlhYJJSMjZVtSNNasoXkxXDkAACAASURBVE7KTZoAmzaRN8jQkOL5AUpKXreOPq/bt1O+SsOGwLBh8rHn6lVKilcn9PSooeP27cDOnUD37kBUVN7jRts64Pgg7oFQRcqseODCoWDSwvyQ9OIfmPadBSYWIeHuMQBApS4UopTkfREaeuVRvn4nMMa+JFFX7jEpV+KoKO0TPge9UMo1cDiyQBoBkV2BCUCBFZi+pZGFCbZP6oxBbaxx93UkNDUEOOzlL/NrKAkhsZ/w0D8akYmfIWbA5h874odu9aSqJgUA133DcOK/ykpt61SVWjicPAksXUqrtba2FLZTv75ML00hfPxI4RnDhgFVqgCOjpT0PHQocO0aEBcHnD5NHpYaNZRtreJo2JCEkjq9py9eAGfO0OdSJAJ276bt2SFK7u4khnr0IC9SdhL1zz/n7rScnEzdpWXBggV07t69aTL+dUUyVUYgoKIHnp7Ahw9Ay5ZUQexbRrR0wN/DPCAQcwGhSpRJ8cCFQw6f/G7Df1VvRJxc9mWbODMdYYd+hvmYddDQ1kXqu0cQJkYBGpqo1G0CRJ+TEHVuHcyGLgUApIf5QZgcCw09I1SwHZQzTlY6QvY6A4zf3Bz1piAB0bWrHUJDQ79UYAqO+YS/zvuCMSbV2DramnDq2QAbJ3aAgY4Wbr+OxKKjj/DkfQxEYunGkAcxSWk45OmPGXvuQiAARrSvhS1OnaQKy8rmVWgCNl6gykpD29lILRxEIiA7RWPSJODKFYqTVhciImgi16sXYGpK4RkhIZS74OcH+PtTdZ2ePdUvbKcscPUqeRa+Lr2blgb88AOtmOvqUqng8HDyMPz0E4nEhQuBDRvo+BcvaDW9QgXg++9zxklPB0aOzL9kaXG4eJHCfsRissPcnCpw/fEHTcpVnQ4dKByxVi2ga1fKZfr2q3NoUwecGs4FhCpR5sQDFw65iXRfgYyIt4j3PIDM+DAwxhB2+BdU7DAS+tZUdzA9nOK99Wu2graxKcKPL0bl7j+inAnVes+MCwEAGDXp8SWhWZT2CcG7p6CS3Q/Qt2mphCvjcGSLJAERGBjwRUDUMTPGvIHN4fkqAsfuvC/S+PVrVMT2SZ2gIRAgIOYTFrs9wbgtN7Hvxht8iEqWWoyUFL+wj1h49BHGbb4J9wcfIBQz9G1piYk96kNbU/qfjOjEz1j59zPUq1EBM/s2AQCphENSEvUuOH+eauSrS2J0ZCSwdStNgMzNaSIHkEgIDaXY7l9/BRo0yL0KzVE9Zs+mHhlbtlDeAmNU5vTHH8kLBpA4AGjyW60axfDPmUPJ7gCVZgWA/v1zBGJyMvU7mDmTSpPKAjMzGu/6dSAmhrwd1aoBy5YBtWsDLVoAq1eTYFVVqlUDbtwApk6l13HiRBJrX9NQ2wE17nABoSqUKfHAhUNeBNq60K5YHSadx0BDRx+he2egXCVzVLb74csxGjoGAABRaiJC9/8EjXJ6qNRl7Jf95SpRwWiBFr1+n4NeIGjHRFTpORlGjbsr7mI4HDkjjYDo3NAMY/+rwHTntfQVmACgirE+ejWj++nP8e3Rro4pLj0PwXTXO5iwzRM7r/ohIaXwnIqSIBSJkSkUY3b/JhjZsTY0BAJ836VOkcbIrqyk819lJS0NgVTC4cMHWjW9f58So2fMUM2JNmO0Cn3qFHkY7Owo5GjOHEBfn2r8R0dTWJKzs+Jq6nNkg54eiYCpU6mXxqhRgLU1fR6zye6nkZBA/RgMDCgMJxtra/qbLRyePCEh8csvQF85pQVWrEherjNnKBzu5EmgXj2qAlWvHgkJF5ccYePtTeJWFShXjipXHTpEVcc6dybhlo2ZGVAl0QEVrnhAgwsIpVNmxAMXDvlTfcRyCLTKIS3kJQI3fw/jln1RbdCCXMdUsB2Iiu1HQLuiGcrX7wTzMX/k2q9n2QTVBv2KTy9vwH9lDyTcOQLLiVtRvl5HRV4Kh6MQChQQdiQgvu9cG3aNqmOdhw/eRSYVafyhbW2QkJKBiI+pmNm3CY7P6YlVo23RwqYy7r2JglYRVv+zETOGxNQM+EckIjj2U4HHNrWqhPXj26NHU3Nc9A5GjyY1YFJe+tqRYsbwh4cPohI/Y+VIWxjrl5NKOHh5UcdooZDyG3r1Kto1KorERKqcc/AgMGIEeRh0dYE9e0gwXL5Mq9TqFGbFyc3mzTTpf/aMQsuGDcupqpTN6NG0Qm5uTsfs2ZN7f8uW1JDt/HnK79i5kybF3RW0nmZgAAwfTueMiSGhW7cuFSGoVYvuNReXnM7YqsLYsbR4EB9PjfKuX6ftRkbApUtAxTgHmHl5QINxAaFMykSpVi4cJGNQyxZ1l3tCnJEKTd3y+R6jUU4P5mPXFThOld5TUaX3VHmYyOGoHJLKuAYGkIDw8vTE3AFN8cvHVCw/8RSbf+yISobSTcAtqxiibR1TuD8IQK+m5tDS1IBtbVPY1jYFY6zQTtYup5/jeWAcMtPo+27RsccQa/oiO+ipe+PqmD+4RaF2eP4bgfhPGRjSzkYqu7M5cOstHryNxvKRrWFVpbxUwsHVlcIVunal1VJVm3hnZNDE5cgRijHPyKBQqi1baGKp7A7XHNnSsSOF+aSkSO7Yne1hKoj//Y8eykZfn8KlhgwBUlOpPLCbG3D2LO1v2pTEcO/eqlFOtkULKs/83XeAvT2JnHnzKLzpn3+ADh0cULu8B963HgSxgJdxVQYq8DGRL1w4FI5AIJAoHDgcTv5I9EAEBMDOzg4xURHFqsAEAMPa10RwbAqefojNtb0w4QAAnRtUw+C2Nmhfl/pF9Gxijln9mmDZ8FbY6tQJzg6NCx2DMYZTDwPQpo4prKpImD3lw3XfMJy4l11ZybRQ4SAU0srn5MmUGH35suoIB7GYKsFMmkSTliFDgKAgih+vXh1wcqKSq1w4lE4EAsnCQZ0xMKCEbQ8PSuy3sKBcDAcHqny1aRPlHSmbSpVIsM+fT4+RI0nM1a5N28M9HdDS3wOa3AOhFEq1eODCQXURZ1GHICbMkNk+DkfRSBIQAf8JiM+JscWqwNTE0gR1zYzh/jCgyDZ1amCG0Z1qo3dzytzs1qQ6+ra0RIf61VDHzBjldQvPPvYOiENgzCcMa1dT6vP6hX3Exgsv0buZOYa0tS5UOGQnRm/ZQl14t29XjcRof3+qmmNtDXTrRomczs5UJenZM/KORETIr24/p+ySnp77r7ypXJmqMqWnA3//TWFCv/xC+TvZn3lloqlJfTVOnaKFhbZt6f5s3Zq2+fztgF7xHtAEFxCKptSKBy4cVJMk74v48OdQRJ5aCQCIvb4b7/8YhDjPA8Xex+Eok8IEhK4wGb/8V4HJ7a50FZgEAgGGtq8Jn8B4vC9izoQscH8YgDpmxmhqJZ0bICYpDStOPkXd6saY4dAIy5YtK1A4ZCdGP3xIcdinT+ctz6hIPn2iEJROnSixdMcOoF8/4N49SuJetYqqJAGUjGpiAnTpojx7SwNubhQuw6GJe6dO5IUDqElgu3ZUvUve9OtH+R0hIfSeBAeTgDh1CmjUiPI5zp6VXWnZ4jBkCFUrE4mo2tW5cxTO5OoK6IY54PQID2hxAaFYWCnkbvBdVn5NeYblyPUYcGwAyxBmKNs8DodTComKimINGjRgAHI9atasyUJCQthhL3/We+UFdtsvQqrxhCIRG7vpBlt72rtY9ni/DWEAWJduPdmAAQPYsWPHpHre+8gk1nvlBXbrZbhUx3/OyGJTd91mYzffYAmf0tjixYvzvAYAmKurK2OMsVu3GDMxYaxOHcbGjmVMW5uxhw+LdYklQiQiW8aNY0xfnzGBgLHevRlzc2MsLU3y8+rXZ2zCBIWZWWrZtIkxPT1lW8FhjDFHR8Y6dMi9LSODsaNHGWvXjjGAMSsrxn7/nbG4OKWYyBhjLCmJsUGDyJ6lS+keFotp3yX/S0xrebk8875xZ8YxoUioPKNLKaXO88A9DhwORxkU5oHoYq2Drg3NpK7ApKmhgcFtbeD5KhIxSWmFHi+JjTv34dy5cxg9erRUx596GABTYz10blit0GOzKytFfkzFihGt8dfvqwv0OOzeTVWUWrSgngeHD1NTrbZti3xZxSY4mMKkatemsKT79ylMKTiYkjFHjaLqSfnh7w+8eQMMGpT/fo70ZGWpRpgah7qd379P4XjZlCtHCcsPHlCZWTs76qxtbk79Lnx8FG+nkRF5RNasAX77jcIeExNpn0MdB5z7zgNaAu6BUASlSjxw4cDhcJRJQQKiW7duGNHCBFZVDLH8xFPEfyo8sLlPCwvo62jC43GgvEzORWxyGjxfRWBwWxtoSlF2Jbuy0vxBzbFv6zqJwuGHH5wwezYlGE+eTHkOP/1ESZDTp8vjSnKTlUXhRn36ADY2wLp1NBm6fZsEwaJFOc29CqJqVWD/fqBHD7mbXOrJygK0ykS9R9Wnf3+6ByTVY2jdGjhwgJodLl1KHbhbtKBeDCdO0HupKDQ0aOHh8mUSNq1bA76+tM+hjgPOjeYCQhGUGvHAhQOHw1EFChIQ9r16YFLHqmBgWHHyWaEVmPTKaaFfKytc9g5Farr8f6HPPg6CrrYm+jQvfCZ947/KShN71MOlI9skCofhw53Qvz/Fb2/bBvz1FzXVqloV2L1bvk3ggoOBxYsBKyuKm05MpHr8UVHAvn00+SnK+Y2NqTmcgYHcTC4zcM+D6mBiQnk9ZmYFH1elCk3cAwMBd3cSf6NG0f21ciXdV4rC3p4KGBgZUf6UmxttzxYQ2lxAyJVSIR64cOBwOKpEQQJicP8+mNrJDEExyVJVYBpoa41MoQiXnofI02SkZmThoncI+rWygr5OwUvCfmEfseHCS/RqWgO+lw5IFA52dk5o146avl25Ql6GBQuAf/+lfg5GRrK/DqGQEjz79iUvw+bNFGbk40MJ2hMnAuV5ZWqlIxRy8aCuaGlRqNOtW7TqP2AANcSztKSFgYcPFVMAwcaGihoMGUIhVnPnkih1qOOAs1xAyBW1Fw9cOHA4HFWkIAExYaQjxrWpIlUFpkqGuujepAY8HgUhSySWm71XnociM0uEgbbWBR6XXVmpjpkREh7/jdWrV+c5xtXVFbVqOaFtW+qX8OgRVW0Ri6my0R9/UNiDLAkNBZYtoxKrgwYBcXHk2YiIoDKwzZrJ9nyckiEU8rCl0kCTJsCuXUBYGHXhfvCAPAFt2gCHDsm/7Ky+Pp1n82YKh+zVizwgmX4O8BjlAW0NLiDkgVqLBy4cOByOKlOQgJg/eST61i+Pg57+uPM6ssBxhraribhP6bj9KqLA44qLUCTGmUeB6Na4BiobSe6EnZYpxLITT1FOSwNaby7AZc2aPMe4urpCJHJC795Ay5Y55VgBilfesweYNUs2dotE1C13wAASDX/9RfHbz55RaUcnJ+5lUFW456F0UbEirfz7+9M9WakSMH48eSMWLSJxIS8EAmDmTODmTSpo0LQpLSA8/9sBZ7mAkAtqKx64cOBwOOpAQQJi84KJaGYqwLqzLwrs52Btagjb2lXg/jBQ6kZzReG2XyRik9MxrL3kpnDZlZUiElJQIegfrP9jbZ5jdu50ha+vE6ZOpeToS5doUvEtJc1zSEigpOfatUk4RERQb4aICGDnThItHNWmVy9g9mxlW8GRNZqa1DviyhWayI8eTR4Ba2tqrOjlJb+Qps6dAW9v+l7Q1KR8p/R/uYCQB2opHrhw4HA46kRBAsL9j5kw0UjFspMFV2Aa1q4mAqKT8TwwXqa2Mcbg/iAArWtVgbWpocTjDt56i/tvomAScg1bN6zLs3/TJlecPu2E7dspTGjrVtmvLPv6ApMmUbnIxYupUdvjx+RpmDwZMJRsPkfF6NlTMZW2OMqjXj1g0yYgPJz+vnpFVc6aNaMGb6mpsj9n9eqApyd9TwDAiBFA1U9cQMgatRMPXDhwOBx1RJKACAwIgNeOeUhJiC6wAlMz60qoXc0I7g8DZGqXT1A8PkQnF+h1uOEbBre771E+4AoO7NiQZ//q1a7Yvt0JT55Qr4Rp02Rnn1BIlV26dqVJx+XLFAYRGgocPEgdZzkcjupiaAg4OwN+fsC1a0DNmuSZNDenbtYBsv1KQ7ly5Incvp1CGzt0AMzTSUCU4wJCJqiVeODCgcPhqDOSBERQUCCeH1yE1/4fJFZgEggEGNquJp59iEVAdLLMbHJ/EIBaVY3Q3LpSvvtfh33EX+d9IX51DqcPbsuzf+5cV6xf7wTGKDFaVj0QYmOpGZSNDTB8OIU6nDxJZSIXLQJMTWVzHmk4eJAay3E4pZ3Dh0msywOBgDxOHh4kGCZNopLJ2eGHV69SUQVZMW0a9XfJyqJ+EDqhlERdlgXEvXv3ZDKO2ogHLhw4HE5pQJKACA0Ogt+xpbhy/4XECkxdGpqhipEuTj+Uvmnc7KkT4ejoCLfsQuhfERTzCU8/xGJY+5oQ5JOIEJOURg3tHp3EjZOuefaPGeOKzZud0Lo1JUbXqSO1WRJ59ox6KVhYUBdZe3vg+XNq6DZ8uHKSbE+coOvjcEo7p07Rqr28sbamqmthYRTCFBpK93rDhpQjkSyj9ZGBA4GjR4HMTMqzeXPBAWdGlk0BsXXrVgwcOBALFiwo8VhqIR64cOBwOKUJSQIiIiwYb9yWYtfZe7ibTwUmLU0NDG5rg1v/hiMuWboaiBt37sO5c+cwevToPPvcHwagspEuujTM2x0qLVOIpcef4PXVQ3h0/mCe/d27u+LIEUqOzi8xOjWVVhbDwwu3MTOTmjx16EArhJ6e1HQqLIyqMzVvLtWlyoVsj0q7dsqzgcNRFB06UB6RUKiY8+nrAz/+mLNA0KwZMGcOUKMGVVB686bk5xg1Cli/nhYf5s4Fjix3wPFBZUtAbN26Fbdv30ZwcDA+ffqEhQsXlmg8lRcPXDhwOJzSiCQBERMRipdHFmPFwev5VmDq08IC5bQ1cfZJUInOH/8pHbdehmNwGxtoaeb+KRAzht/PPMetkzvx8uqRPM9t2NAVXl5O2LGDVgnzq9e/Zg2FQGRkSLYhKgpYvpw61H73HaCnR2EGHz4A//sflXtUNqGhVN2JV3DilAXatAFSUqjkqiIRCKha0okT1Bl+9mwKU2zQAOjdGzh/nvIXisvPPwPHj9OY584By753wI6uHnnmkKVRQHh7eyM4OBgnTpyAgYEBtm3bBkNDQ1y5cqXYY6q0eODCgcPhlGYkCYiP0eF4vG8Bftl1KU8FJgMdbfRraYmLz4LxOaP4y4NnHwehnLYmHFpa5Nl34OYbHN7xJ/xv5g11qlrVFZGRTrh6FZg6Nf+xAwOBP/8kAVAznzxsPz/qwWBlRSVXBw2irtM3btC/NTWLfVky58UL+qtM7weHoyiymyn6+CjPhho1KGQxJIQWIJKSAEdHCotcv57EfHEZPpw8ienpwM8DHbCoZukXEC1btsS6detyhab++uuv6NOnT7HHVFnxwIUDh8MpC0gSEMmxEbi+9WfM23UJmcLcP2ID21gjPUuEKz6hxTrn5wwhLnoHo29LSxjo5E4iuOEbhtW/rUCA14k8z9PXd0WFCk549Ajo3l3y+L/+Sl6D+fNztjFG4Uj9+wONGlGoU3Zo0o4dtE0VefGCQrLMzZVtSekiKEj2VXY4JadiRRL1z58r2xJARwcYM4Ym+48eAZ06UbEEc3MKifT1Ld64jRpRaFbnzsDyMQ4YIS79AkLWqKR44MKBw+GUJSQJiNT4SJxwccbS/VdzVWCqYqSHbo2r48yjQIiKUZ7kH59QpGWKMNDWOtd2v9AETP1pXr7CQSBwRadOToUmRnt7U+jBypWAgQHFTh8/TiVVu3WjkIQDB2jyOH9+/k3kVImXL6ljbUkb23FyM2+ebEv6cmRH8+bK9TzkR5s2wKFDFEa4aBGVbG7WjEo4u7tTRaWiUKECVX1asQI4utwBzd9wAVEUVE48cOHA4XDKIpIExOeEKGyePxFbT93JtX1ou5qISUrDHb+oIp1HJBbjzKNA2DWqDlNjvS/boxM/Y/jEWXjveTyfZ7lixgwnXLxIP7oFsWwZNYcaMgTYuJHKMI4eTSLhyhVaLRw/nmqxqwNv3wL16yvbitKHSKRa4WmcHBo2pM+9KmJqSuIhMJDyFwAKRbKxAVavBmJipB9LQwNYsgS4cAHwv+iAytdLRyO5kydPom7dutDS0oJAIIBAIICxsTHWrctp7unu7g4DA4Mv+ytWrIj+/ftLfQ6VEg9cOHA4nLKMJAGR9jEK8yePxKmbT79sq1nVCK1qVsbfDz7k2xdCEndeRyE6KQ1D29nkjJ+RhX7fT4Pf9aN5jtfQcMXOnU7YvDn/xOivef6cfojr1qUf83nzKDTg+XNqDmVvr34r+AMGAA4Oyrai9CEW0+SNo3q0a0eewpIkKMsbbW0SDV5e5CVxcCDxYGEBjBsHPHki3TgZGUDfvnR8pQQHaJz0gBbUW0CMGDEC/v7+uHz5MgBAR0cHgYGBmDdv3pdjhg0bhj///BPm5uY4ffo04uLicOHCBanPoTK3LhcOHA6HU7CAGDd8AO48ffVl29D2NfE+Khm+wdJlEDLG4P4gAC1sKqNWNWMA5Ino891UPLt0KM/x+vquuH7dCVOmFD72y5f4cpynJ8UkBwRQwqM6Jxv/9hvViufIFi4eVBdHR+r3oC6eoWbNqFdEWBgJiDt3KMypbVvgyBHJFd9u3aJFjogI8pA+eAAMbuwA4REPaDD1FhAA0KtXLzRp0gQZGRm4du1arn3BwcE4ffo0Hj9+jMGDB0OziG+2Sty6XDhwOBxODgWFMPXt0wsv37wDALS0qQwbU0O4P/gg1bgvQxLwLjIJw9pTCSTGGAaPn4Hbp/flY4MrfHyc0K2b5PEYA65fB/r0obyAyEgq0RoaSlWULPIWcuJwAJB4UJfJKUc9MDEBfvkFeP8eOHsWMDYGxo4FLC0pPOnbnjPNm1NOVnZhBwMD4Ngx4K/pDoCbBwQi9RcQzs7OAIAtW7Z82RYVFQUnJyfs27cPZmZ5e/xIg9LFAxcOHA6HkxdJAiIlPhKdutjhQ2AQBAIBhrWvicfvYxEU86nQMd0fBMC6iiFa1awMxhjGTZ2D80fytpNt2NAVb944SUyMzsqiFb0WLahra3Q0/T8ggCotGRsX65I5ZQjueeDIC01N8p5cvQq8fk3hTRs3UlfrkSPJM8EY5WGtWkXfXc+e0XMFAmpSd2OXAwwveQBqLiDGjBmDChUq4N69e/Dx8UF8fDzGjRuHnTt3wrwEJeSUeuty4cDhcDiSKaiMa5v2nRESEoKujaqjsqEuTj/Kv+7l7KkT4ejoiC279uHRu5gvXofpc+bhyO5NeY7v3t0VL1445ZsYnZREddZr1qQVPTMz8jx4ewPff09xyByONIjF6pf/wlE/6tcHtm4lr8Nff1F+RJcutPCxdy91n27QgJKwv8bODnjl4YC63h6AUH0FhIGBAX744QcAgIuLC77//nts2LABtWrVKtG4ShMPXDhwOBxO4UgSEAnRYbBt3wlREeEY1MYaN19G5GkoBwAbd+7DuXPnIKzRGpUMddC1kRl+/t+v2LnpzzzHjh3rihs3nPIkRoeGUjiAhQWwcCHQsydVTbp8GejRg08COUWHMe554CgOIyNg5kzyRPzzD32XTZpEOQ+1a9O2x49zP8fcHPA95YA+ieotIJydnSEQCHDy5EnMmzcPjWTQVEcpty4XDhwOhyM9kgRETEQo2nXsjKZVBNDW1MC5J0H5Pj8hJR03fMPh2Noay5YuxYb1v+c55uefXXHokFOubc+fU5OmmjWBPXsAZ2fqz7B/P9CkiayujlMW2bsX2LBB2VZwyhoaGkDv3sD588C7d8CECRTGBACDB5Mn9evidTo6wOUtDphpqr4CwsbG5oun4cWLFzIZU+HigQsHDofDKTqSBEREaDB69eqBNuZauPAsBGmZwjzPPfckGJoagPeFfVjrsibP/tWrXbF+PQkHxqgfQ8+eQMuWwN27FKoUGgq4uADVq8vn+jhlC3NzoEYNZVvBKcvUqkXfbWFhlAsREUE5XA0bAtu2AZ++SiPbPNMBf7VVvxwIxhimTJmCvn37AgC2b98OcTEai36LQsUDFw4cDodTfCQJiNDgIOxY5IT4mEhc9QnNtS8jS4RzT4KQ9fIs1v3ukmfMzZtdsXChEzIyqPNz06ZUMz0xkTpDv38P/PQTYGgozytTTQICKM+DwymLpKUp2wLFYGAAbN9OeQ579gCNGtF3nrk5/fX3p+Pm9HfA0QEeEIjVR0D89NNP6N69OzZu3IhatWrhw4cPX/o/lASFiYfiCgc3NzdFmMeRE/z9U2/4+6d6FCQgXh5ehMNXHkH01crS43cx8L10AJeP7coz1s6drhg71glr11Ls74QJVJHE05OaJo0cWXhjuKAgCm8qQp86taFLF+DPvKkhCoPff+qNOr9/e/fSpFoGi9RqgYkJ9X348UfA3Z06WHfr5oZjx4B69agc9cWLwKhWDjg72gOaatAHYuHChWjQoAG+++47CASCfMu2FheFiIeSeBzU+ebj8PdP3eHvn2oiOYk6HJc2zsGZW95ftu3Y/Cc+eB3PM4aLC5VjtbAAli0D+vUD/PwoFrhrV+mToPftow6tpTFpOjVVuR4Xfv+pN+r8/unr04JAWfE+fIuFBSAWuyE0FDh4EIiPB/r3B+rUAd5dcoDbIA9oCVRXQKxduxZGRkaYNm3al20TJkyAgYEBrl69Cv9sd0oxkbt44KFKHA6HI3sK6kT94+iBiAgPAwC8uXUyz3NtbV2xeLETDh0CZs8GgoOpQ+s3Q0nF27fFe546kJYG6Okp2woOR/Ho69PfsioestHVBcaNo0pMDx8C7dsDCxYAP3R0QK941RQQmzdvRmJiIhYsWJBre4UKFTBmzBgwxrBt27YSnUNm4iE/hb3jyQ70PNxTJYWDPFcE5DW2uo0rT/j746a+3QAAIABJREFUJ/9xASD825acMoK/f7IZt6A+EKMG9pHwLFfExzth0yYgJAT47TegWrWinfdrm0NCACurIhou5diypKjjikRARkbOJEpW4xYFdbv/+H2dG3V+/7I/958/y35sWaKo908gANq2pYZyISHUldrnbwcID+ffibq1a2tkCjMVanNkZCSmTJkCFxcXuLjkzW8DgGHDhgEADhw4gPj4+GKfS27iYceTHZh+aTrShbnrjquCcAD4l5wixpUn/P2T/7iA+v34yXNsVR1XYifqT8l5jrWxcYW7uxP8/ansqoFB8c75tc2xsYCpafHGKWxsWVLUcTP/+93X0ZHtuEVB3e4/fl/nRp3fP11d+isrz0Npev+qVQOWLiWPrZ25A7RO5S3j6hPlgwbbG+QrIGRt8z///IO6devC3Nwcu3fvRlRUFFq3bp3nuKFDh6Jfv34AgOTkZFhYWKBp06bFCmEqJBWOYIzh09c1q/JBKBQiOZl+rPY824Ofr/6c55g+tftgX599SE9NRzryNjMqbFxZIq9x5Tm2uo0rz7G5zfIfF6B7X91sVrfXWRbj6unp4dy5c+jXr5/EH4LRozdjypQREAiSce9eiU6H+Hghbt8mmxMSgLg44Pbtko2Z39iypKjjZmTQ3zdvCr42edkLAJmZTCVeC3mMe/EiiVc7O9mPXRT4+5f/uE+e0La7d4HoaNmOLUuU/f516gR4ruqIKT8cw674UYAgp1R2QGQA6v1VD0+cnqCcVo64KOw739DQEIIiJJHZ29tLJQBOnTol9ZiFIWCs8BoZycnJMDY2ltlJORwOh8PhcDgcTm6SkpJgZGSkbDMKRCrxII3n4WvEYjHa722PN3Fvcm3XEGjgwKADGFh/YNEt5XA4HE6+MMawevVqrFu3TuIxmprWmDLlIoYONS+0/GpRGD4csLcHnJwKP1adyMigTrSLF1PjKI5smTULqFIFWLJE2ZZw8uPJE+CXX6jvQZ06yrZGcYSFARUrSh/SuX8/cMQ9EVrfD0F6xWe59gkEAvw9/G/0qlW0L5Cieh6UgVTioTiIxWI03dkUr2Jf5dquKdDEiWEnMLThUHmclsPhcMoUjDEsXboUq1atkuLomqha1RNz5lhgyhSgQoWSn79ZM3Ldl7B4h8ohFlP/ilq1ZPM6cXJjZ0flMA8fVrYlnPxISKBwvR49ylaDyMqVqQLd4sUFHxceDuzYAbhsSIT4O3vA/HGu/ZoCTZwffR4OdRzkaK3ykFupVg0NDfhO9cWUVlNybRcxEUa6j8QpP9nFXnE4HE5ZpCDhsHr16nyeEYDPn+2wZEkoLCyAOXOoyVtJuHED2LixZGOoIhoaQKtWXDjIk9LYWLC0YGICDBpUtoRDbCz1c6hbN//9jFEOyMiR1Exz3Zb8hYNZeTM8n/q81AoHQM59HjQ0NLCj3w5Maz0t13YuIDgcDqdkFCQcXF1dMWPGDABA3W9+CT99CkDVqnaYMCEUhw4BtWsDo0cDT58Wz47KlQFt7eI9l1O24eKBo0o8fEh/vy1UlJZGHbdbtgQ6dwZ8fIAFyxMhGp2/cLg1/haamDZRkNXKQe5N4gQCAbb13cYFBIfD4ciIwoSD01cJCBcvXsxTxjUsLACnT9vh/v1QbNpEDZBsbYFu3agKjlgs90vglHEEAi4eOKrFtWuApSVgY0P/DwoC/vc/wNwcmDSJ/v7zD/DgeSLOlLeHyCx/4VCvcj3FG69g5C4eAC4gOBwOR1YURTgAgKmpab59IMLDA9C1qx0cHUPh7w+4u9MKW//+QOPGtNKWLl1FbQ6nyHDxwFElxGLgzBlgwADg5k0K2apVC3B1BSZMAN69A86fB9p0SYTtZnu8Siy7wgFQkHgAiicgli9fjvr168PAwAAVK1ZEz5498ejRI0WZzCkBWVlZmD9/Ppo0aQIDAwNUr14d48aNQ0REhLJN40jJ6dOnYW9vj8qVK0MgEMDHx0fZJpV5iiocspHUSC46OgDNmtkhPDwUQ4cCDx4Ad+5QzO+kSRTXu3o1xQFzFMPt27cxYMAAVK9eHQKBAB4eHso2SS7UqkUJ06UJFxcX2NrawtDQEKamphg0aBDevn2rbLM4UnDxIhAWtgO7dzdFz55GOH/eCFZW7bFv32WsX0+f19hPiai/2h4BGWVbOAAKFA9A0QVE3bp1sXXrVrx8+RJ3796FtbU1evfujdjYWEWazSkGnz9/hre3N5YsWQJvb2+cPn0a/v7+cHR0VLZpHClJTU1Fx44dsXbtWmWbwkHxhUM2kgTEx48BaNjQDu/ehUIgoMpJHh7A69e0+rZqFbnyZ84EAgJkekmcfEhNTUWzZs2wdetWZZsiV1xdgT/+ULYVssXLywvOzs54+PAhrl27BqFQiN69eyM1NVXZpnEk4O8P/PQTMGQIAJjD1nYtDh9+Cj+/pxg9ujtGjhyIV69e4W1wImots0e0FhcOgBxLtRYEYwzOl5yx4+mOXNsLK+Oa3azu+vXr6NGjhyJM5ciQJ0+eoE2bNggODoalpaWyzeFISVBQEGxsbPD8+XM0b95c2eaUSYojHLK/L79tOBQdHY1u3brh9evXuY7X0amJO3c8YWubezk4JgbYvp1KsSYk0I/sL78AbdvK6OI4EhEIBDhz5gwGDRqkbFM4xSA2Nhampqbw8vJCly5dlG0O5z/EYuDyZWDrVuDKFSr6oKlJJVoXLMh9rImJCX6YtAJbU44gy5QLh2wU6nnIpjghTJmZmdi9ezeMjY3RrFkzRZnKkSFJSUkQCASowGsfcjhSU1KPw7dI8kBkZASgfXs7XLwYmmu7qSmwfDkQHEwC4sULoF07qjpy9mzu5OqsrCKZovI8egSsWaNsKzjqSlJSEgCagKobJ05QVaHSRGIisGEDhWX270+lWQ8cAEJDgchIYN68nGNFIhHc3I4j+VMqNgS4cuHwDUoRD4D0AuLChQsoX748dHV1sWHDBly7dg2VK1dWhsmcEpCeno4FCxbgu+++U/m26xyOqiAL4TBq1Cg4OjrCzc3tyzZJAkIkCsCAAXbYsSP022Ggrw9MnUrhTGfOULLroEFAgwbArl2UG9G6delKgvXxoQ7IQqGyLeGoG4wxzJ07F506dULjxo2VbU6RmTULOHdO2VbIhn//pe+uGjWA+fPJa/rgAXXRHj8e0NWlBH5NTeDly5coX748dHR0MP6HKRD1sAYav8w1XlkXDgAApmTEYjGbdmEawxAwaOc8NCZqMPdX7iwlJYW9e/eOPXjwgE2cOJFZW1uz6OhoZZvN+YYjR44wAwODL4/bt29/2ZeZmckGDhzIWrRowZKSkpRoJUcSBb1/gYGBDAB7/vy5Ei0se4jFYrZ48WIGIM/D1dW10OcnJSUxAAXec1FRUaxBgwb5nKMmmzs3hInFBZ/j/n3Ghg5lTCBgzNiYMYAxD4+iXqnqcvEiXVNoqHLOD4CdOXNGOSfnlIjp06czKysrFqqsD08JSE+nz/3+/cq2pPhkZTF26hRjdnZ0LWZmjK1YwVhkZMHPy8jIYF5e71jdxjcZmpsx6INhOhiW08NsvRl7E/tGMRehwihdPDBGP5I/nvyRYSZyHovANFdoMvdX7rmOrV27NluzZo2SLOVIIjk5mb179+7L4/Pnz4wxEg6DBg1iTZs2ZXFxcUq2kiMJSe8fY1w8KIOSCgfGpBMPjBUsIAYMCGFffRQk8v49Y9Onk4jQ0GBs6lTG3r6VykyV5t9/aeLxlZZWKFw8qCczZsxg5ubmLCAgQNmmFAs/P/rc37qlbEuKTmwsY2vWMGZhQdfQsSNjx48zlpEh3fNv3GDMpPpHVs65DQkGGzC04sLhW5QWtvQ1AoEArsNcMc1+GlAJ9NDOPweCMYaMjAyl2crJH0NDQ9SuXfvLQ09PD1lZWRgxYgTevXuH69evo1KlSso2kyOB/N4/jnJgMs5xKAxJIUxAAC5csEO7dqEorMJyrVqUD7FxI+VA/P03UL8+MHgwcO+e+oYy1apF4Qzv3inbEo46wBjDjBkzcPr0ady8eRM22d3G1Ax/f/pbT42icp49A374gRq5rVwJ9OoFeHsDd+8CI0cC5coV/HzGgPXrgZ79EyEcbY/MKl/lOAh5qNK3qIR4APLJgcgEcB0QhYgwYs8IrHNfBycnJ4SFhWH48OFKtZVTOEKhEMOGDcPTp09x9OhRiEQiREVFISoqCpmZmco2jyMFCQkJ8PHxgZ+fHwDg7du38PHxQVRUlJItK70oWjhkI0lAMBaAV6/s0LJlKJ4+LXycqVOpdn+PHsDu3cCbN1T6tUMH4NQpQCSSi/lyQ1cXsLICFFmqPyUlBT4+Pl/6qgQGBsLHxwchISGKM4JTLJydnXHkyBEcO3YMhoaGX37z0tLSlG1akXj7FjA0BKpVU7YlBZOZCRw7Rt8vrVsDt24BK1YAYWHU5LJFC+nGSUkBRo0C5i2YC5MRHZAsfAxEA7gBIAgwaWvChcO3KNfxkZcvORCLwFAfDIZg0KS/rbu1Zo8fP1a2iRwpyA51ye9xSx19oWWQ/fv35/v+LVu2TNmmlUpkEar0NdKGLX2NpBAmHZ2aTEcnhJ04UfgYO3dS+JKvL2MiEWPnzzPWtSuFENSsydjWrYylpBT5cpRG796MDRyouPPdunUr38/A+PHjFWeEApg1i7GJE5VthWyR9Ju3X82SByZMYKxVK2VbIZmICMaWLWOsWjX6XunenbEzZxgTCqV7/suXjKWl0b/9/Rlr1Igxg0ofmWHrygzG/8059SlkyWSyCQ9Vygel9HkoDFbMPhAcDoejjjA5eBwk9XkoDEl9IMqXr4mUFE8sW2aBZcsonCc/srKoAlO9etS1NZsnT4A//6SQpgoVgOnTgRkzgKpVi3xpCmX2bLoOHrokW0aOpL4h164p2xLOt7RuDTRtCuzbp2xLcmCMKiRt2QK4uwM6OsC4cfQd0rCh9OPExtK1DR0K2NsDY8YAppaJ0Jtsj5cJvByrtKhM2NLXFKcPBIfD4agj8hAOJUFSCFNKSgAqVrTDihWhGDUK+Pw5/+drawO//w6ULw98nZ5mawscPw68fw+MHUv11q2sACcn6h2hqnTsCNSsqX4hV6qOhkbuHiEc1YDW8oFWrZRtCZGWBuzfT4KmY0fg6VPKTQgLo+aVRREOjAETJ9ICR7lygKMj0KlnIoxncOFQVFTS85AN90BwOJzSjDyFQ3E9D9lI8kBUrVoTSUmeaNTIAmfPUu304vDxI7BzJyVah4dT07mZM6l3hLZ28cbkqA/ff0/vu6ensi3hqCIhIcCOHYCrKxAfD/TtS14Ge3sSnsVh40ZgzhwSIs+eAYt+S8RVU3s8juDCoaiopOchG+6B4HA4pRVV8zh8iyQPRHR0ACpXtkN4eChsbSFVInV+VKwI/PorEBgInDxJYVAjRgA2NtRwLiZGBhfBUVk0Nbk3h5MbxijpecgQ+h7YsYNCk969o9BBB4fiC4dHj6iDtLEx8OED8Pf5RFytyoVDcVFp8QBwAcHhcEofqi4cspEkIMLCAqCjY4eqVUPRuTNw4kTxz6GtDQwfDnh5UUdnBwdg1Sqq2jR+fPHFCUe10dLinbs5REoKeSGbNAG6d6dSsdu2UWjSX38BtWuXbPy4OKBfPwqTs7ICbt5PxB+R9ngczoVDcVF58QBwAcHhcEoP6iIcspEkIIKDA5CUZAd7e8qBWL685DHszZpRmEJ4OAkILy/KlWjfnkoy8irPpQfueeC8f09hRObmgLMzULcucPMm8PIllX0uX77k58jIoPyN+Hhg4EDg8q1ETLnLhUNJUQvxAHABweFw1B9lCIdRo0bB0dERbm5uxR5DkoAIDAzAy5d2mDcvFCtWoMBE6qJgYkIhBh8+AB4egIEBxchbWZFIiYws+Tk4ykVLi4uHsohYDFy+TJ6AunWBw4eBadOAgADg9GmgWzfJldyKSkwM9ZwJDSVxsvdoIgaf4sJBFqh0wnR+8CRqDoejjihaOJQ0YTo/JCVR16xZEwsWeGL2bAs0aIASJVJLws8P2LoVOHSIVhOHD6cE63btZDfZ4CiOy5fJw6RijjaOnEhKAg4coHCkd++ogdvMmbTgoKcn+/M9fkzlWDMzKayyebtE2B/mOQ6yQu3EA8AFBIfDUS+U4XGQh3gAChYQ27Z5YvJkCwiFJCBsbXP2x8UBu3ZRknRxkx4BIDExZxLy/j2FJEyZAoweLZswBw6HIzu+Ff3DhpFoaN9efqJ/717qI9OyJfWEMKjEhYOsUZuwpa/hIUwcDkddULcch8KQFMIUEBAAZ2c7nDkTCktLoEsX6uuQzfPnwOLFNOkvCRUqUOO2t2+BS5eAatVIPFSvTuEPPj4lG18SIhHwjV7icEoVcXGyGUckonDDnj2BRo2AM2eAX36h8qtubkCHDvIRDhkZ9F3g5ET9HDw9STj05sJB5qileAC4gOBwOKpPaRMO2RQkIEaMsMPhw6EYOpS8AcuWUZxzr1604jhvHvDvvyW3QUODKjNduAAEBZGgOHeOwiHatqXuuKmpJT9PNocP00QoMVF2Y3I4qkJ8PGBqSiv1JRnjjz+AWrWAwYMp/+nYMSA4mHKVzMxkZm4ewsJoweLgQfI87NgBpLFE9D5kjydcOMgctQxb+hoewsThcFQRZQsHeYUtfU1BIUy3bnni6FELLFxIoQoHD9JqY9u2JCaePJF9rLNQSGJi927gyhXA0BAYM4ZWI5s2LdnYQUFUe/7UKapDz+GUJo4dy2ncV7160Z7r4wNs2UJjMEaLBjNmKK5LtZcX9YjR0aH709YWSExPRK9D9ngayYWDPFBbz0M23APB4XBUDWULB0VRkAeiWzc7jBkTijNnKDm2c2damTx+nCqrzJ4te3u0tKhD9aVLdI6ZM6mCS7NmFGN94EDxq0FZWwP169O1cDiljYsXyWsnrXDIyqJE5E6d6HnXrgFLl1Jlo/37FSMcGKOu0T16AI0bA0ePfiUcDnLhIE/UXjwAXEBwOBzVoawIh2wKEhB2dnZo1SoU9+4BsbFAmzbUEGrLFvIOlKB6bKFYW1OviJAQWo00NqY46OzciMePafJRFBwcSDyot7+ew8mNSESeun79Cj82KgpYuZLKJo8aRU0eT50isf7rr0CVKvK3F6CQxDFjqE/EnDnAyJFA167AjXuJ6HnAHk+juHCQJ6VCPABcQHA4HOVT1oRDNoUJCBOTUDx+TBOOrl0BfX0KkZg0CXjzRr62aWtTmNGVK9Q3wtkZOH+ewqcaNwbWr6cJkTT07UthHb6+8rWZw1EkDx4ACQmSxQNjwMOHdM9aWgK//w44OtJ9cOsW3V9aWoqz98MHSro+e5a8H716UXWlH6Ym4n++9ngWzYWDvCk14gHgAoLD4SiPsiocsilMQGRlheLWLcp/+O476gMxbhxQubLibLSxAVavpgTOK1eAJk2oApS5OTBgAIU4FdTFunNnyqM4d05xNpdW4uKAFy+UbQUHIM9B9erkGfya9HTKVWrThsL+Hj4E1q6l5OSdO+n+UTSXLwOtW1P44cOH1Ghu6FCge99EPG9kD+8YLhwUQakSDwAXEBwOR/GUdeGQTUEComtXO8TGhuLQIcDFBVi3jjrAyqNBVGFoagL29pR/8f/27js8qmrr4/g3lVBCQg8lAlFRijQp0qMoI6IRsBEQRBEU1KsgF7uAgoJYQBR9bYCIIAoCFi4WDCAdIaBITRBSSChhkpCQPu8fyxACmckkmUxdn+eZJ5cp5+yheM/v7L32OnEC3n1XZh/uuktCzVNPlXxhW6WK3J1dscL+Y3Y3X311+cWqsj+TScLDoEFF/Vfi4uCFFyA0FEaOhDp1ZCOCw4dhwgSoVcv+4ywogFdflX9/PXvKhgs1a8qvw1oZSbrFQPRpDQ724nbhATRAKKXsx9mDw5AhQ4iIiGBJZRYYXMRcgDh6VAJEfHwczz4re7//739yNz8+3i5DK1GtWrLkYccO+PNPmQ1ZsgTat5c7qzNmSN1EocGD5a55aqrjxuwO/Pyk6FY5Vmys/H0ePFh2Lbr7bpmhmztXZggPHiyqh6hIc8eKSE2VcDN5smz5umqVhJ7+/cGnhpHcIQb+TNHgYE8uv1WrJbqNq1KqMjlzcLDHVq2WmNvGtXnzMNavjyI0NJQ9e2TtdE6ONJXq2tXuwyxRbq5cMC1eLBcqWVmyh/ywYXIRU6eO4y6k3MX8+VLAnpcnM0HKMU6fll3IPv9cwnPLlrLN6vDhskTP0fbtk39zJ0/Kv8cBA6TAu29f2HPQSL0JBg5nanCwN7f+z5/OQCilKoszBwdnUNoMRFxcHO3aya5HzZtLIbWdJkdK5ecnNRBLl8pFy8KFsmRp7Fipj7jrLmmmdf68o0fquvz95aelGhNVOQrD8YgR0hhu0iQIC4NffpGL9XHjnCM4fP213FCoUgV27iwq6PbxgXtHGKn1hAYHR3Hr8AAaIJRStqfBwTqWAkTv3hIgGjSAdeukydPQofDSS7K+2VkEBspF1k8/yfKqmTPl5z33yIXXsGEya5KV5eiRupbC8KBLl+wjPx+iouDRR6U4un9/2LZNlimtWyd/h/v2lUaOjpaXB888I/9NuP12KYy+6qqi141ZRt5LNXA0V4ODo7j1sqWL6RImpZQtuEpwcPSypYuZW8LUrFkYGzbIEiaTCd54Q/aK79FDdlWpUcNBA7bCwYNyZ3TZMlnuERgoS7DuuUeKsQMCHD1C57ZqlTT0O3XKvjtueZL8fNi4Uf6erlghmwJccYX0RBgyRJq7OUNYuNjp09Kh+rff5L8H48cXH6Mxy8gN7xs4eE6DgyN5THgADRBKqYpxleAAzhUewLoAAfDOO7KjS8OGcmf036ed2oEDRUHir7+KgsSgQRIknDkEOcqaNUV9M6ztaqxKl5MjMwzLl8tswsmT8m/o7rvlTn7Xrs4XGAr98YcUbp8/L7tx3Xhj8deNWUa6zNWlSs7Ao8IDaIBQSpWPKwUHcL7wANYHiLFjZR/54GBZm+0shdTW2L9fQsSKFdJEq0oV6NdP7rLfcYf9OvA6u19/hZtvhqNHpRu4Kr9z5+TfycqV8MMPYDRKDcNdd8mjc2fnL/BfuBAeeQTatpXgc+lNA2OWkU5zDMRkaXBwBh4XHkADhFKqbFwtOIBzhgcwHyCaNg1j40YJEAUFcrH9ww/SuXb+fKmHcDUxMbI859tvYdMmuePbs6fMSgwYANdc47x3gStbRobMOjRvLgXqqmwSEqRT+urVEsRycmRr4YED5e59u3au8XcrJ0eWJs2bB6NGwXvvXb7kz5hlpOPbWuPgTDwyPIAGCKWUdVwxOIDzhgewLkBkZsqF9oEDsozhhRfglVec6w5qVpaEgzvugGrVLL/35Em52Pv2W7nYy8qCK6+UEDFggOw2VaWKfcatXE9+vizj+/FHCdXR0bLrUK9ecOedEkjDwqw71rFjkJgIN9zg2ICRmCjLqXbulNAwZkzx13fuhP++ZORINwPxJg0OzsRjwwNogFBKWeaqwQGcOzyA+QBxxRVh/P67BIjERFly4eUlFxoDB8KiRVC9uoMGfYmYGNkFZuFC2ZHJWpmZUhD6/fdyIRgXJ9+pb19Z4tSvnxzXFe4cq8qTmCi7fK1dKz9TUqTHiMEguxDdemv5uj0/9ZT0TIiPd1xg/f132VzAx0e2Pb7hhuKvHzgAPfoaSR9oILe+Bgdn49HhATRAKKVK5srBAZw/PIB1AWL3bpmB6NAB9uyRi+rVq52nkPqWWyQMbNpUvs+bTFJk/f33cpG4aZNsVdmsmVwk3nILhIfLRaNybxkZsGED/PyzPP76SwLk9ddLULjtNujSpWJN9TIyoHFjqSt6/XXbjd1aJhO8/74sVereXeqDGjQo/p7jx+GGcCOnDAbyQjQ4OCOPDw+gAUIpVZyrBwcoCg/9+/fH19eXyMhIIiMjHT2sy5gLEKGhYWzaJAHiu+/kgqlJE1mekZUlxaGX3q10hOXLZenFnj1S7FlR6emwfn3R3eZDh+QCsl07uOkm2YGmd29w0jyoyuD8eelh8Ntv0mth2zYJjo0bS2js10+Kym1ZZP/ppzB6NMTG2r9QPTNT+kwsWiSzH2+8cXm9y8mT0P0mI0d7GihoqMHBWWl4+JcGCKUUuEdwANeYeShkTYAodPKkFITu3CkXQsOG2Xu0xeXmyt75gwZJ0aetHT9edHG5bp0sNfH2hvbtZb174aN+fdufW9lWaips3iy9FzZulO7qOTlQu7bMLvXtKwGxsgrpTSaZwWvSRGa67OnoUfl3e/AgfPJJyRsgpKZCz1uM7OtgwNRIg4Mz0/BwEQ0QSnk2dwkO4FrhAcwHiCZNwti8uXiAyM6WbR0XLoTnn4dXX3VsIfXLL0t/ivh4CAqqvPOYTFJnERVVdAF69Ki8dvXV0K2bzMZ06wZt2shOVcoxCgpk1mjrVtiyRR5//SV/hvXrS+Dr00cebdrY5+9vVJTMXP38s8xo2MtPP0njt+Bg2TCgpBm6zEzoO8DItqsNmBprcHB2Gh4uoQFCKc/kTsEBXC88QNkChMkEb74JzzwjhdSff+64ZmyJidC0KcyaJcsx7CkhQULEpk1yoRodLUtfqlWDjh2hU6eix9VXO9duVe7CZJIdjP74Q2bEduyQn6mpMoPQqpUEuu7dpX7HUcXwAwfCkSPSEd0e5zeZYMYM2Snt1lulSNtcgffeQ0Y6vmMgX2scXIKGhxJogFDKs7hbcADXDA9gPkA0bhzGli3FAwTI9qdDh8q2p6tXyxIiRxg2TC7eDx2qWEFrRZ0/LxexW7fKBezOnTJbAbKjU9u2suSpfXvpC9C6tWPqJ/LzZcZm8GApCHYV589LI8C9e6XOZc8eCWxnz8rrjRrJDmGdO0tzw06d5I67ox05Ai1awEcfgT3+c5aWBiNHykzDSy/B5Mnm/10knDHS6jUDaTU1OLgKDQ8isvoLAAAgAElEQVRmaIBQyjPYOziYTCamTp3KRx99xNmzZ+natSvvv/8+rVu3NvuZKVOmMHXq1GLPNWjQgKSkJLOfcdXwAGUPEH/+KYXU58/LxUq3bvYcrdi9W3bKGTsW/P3tf35LUlJg1y65yC18HDggF/AgO1e1bg0tW8K118qjRQvZBaey7lCbTDIL8tFHUsDrbM6ckSB48KD8Xu3fL4+YGFmSBBJY27WTINaxozwaNnTsuM05cQJmz4YpU6Bq1co914EDUgOUkCDF0Xfeaf69x5KNtJlp4FyQBgdXouHBAg0QSrk3R8w4zJw5k+nTp7NgwQJatGjBtGnT2LBhAwcPHiQwMLDEz0yZMoVvvvmGX3755cJzPj4+1LOwDYsrhwcwHyAaNQpj61YJEP/8A9OnS4Op1NSiQupPPoH773fMuF1FVpZc5P31F+zbJz8PHix+cVy9uiyxueoq6QTdrJksz7riCgkcwcEVCxcBAbLU64knbPKVyuTcOemvcfw4/POPLDuKjZXvHxNTNJMA8n2vvVYCVuvWUqPQurXjlsk5s5UrpedJkyYS5K+xcO0fk2Ck7SwDmbU0OLgaLaeywMvLi/dvex+gWIDIN+Vz3zf3aYBQyoU5IjiYTCZmz57NCy+8wODBgwFYuHAhDRo04Msvv+SRRx4x+1lfX19CQkJsPiZn1aBBA3777bfLAkRiYixdu4azbVsUCQmhLFoke9d/8YV0bn70URg+HP7+G6ZN0zX+5gQEFC1fulh2tlw8FwaJmBhZ8rJypVxg5+YWvbd6dVmm07ChPBo0kGLgevWgbl3ZRahWLQkZQUEQGFh86UpAgJyvogoKJAykpYHRKDMtKSlw+rQ8Tp6E5GRISpI78AkJ8t5C3t4Shpo3l6VcgwZJfUiLFvKztO7hqmgZ2muvwV13wfz58udtzoF/jHR828D5OhocXJHOPFhBZyCUci+OqnGIjY3lyiuvZNeuXXTo0OHC83feeSfBwcEsXLiwxM9NmTKFWbNmERQURJUqVejatSuvvfYaYWFhZs/l6jMPhczNQDRsGMa2bVFs2xbKvffCxImyb7zJBG+9BZMmwR13SCF1Ze6A5EkKCuTiOy5OdpaKi5Ni8cREef7kSXmcOVM0e3GpqlXljn21anKMevXkzr6/v+wO5esrF/NeXvJnWVAgF6a5ufLIyZHAcf687NCTkSHBwZzateUcISESbho1kkeTJtJP4Yor5Oel/QaU9VJSpO7o55+l8dx//2t5RmrvISNd5hrIrqvBwVVpeLCSBgil3IMji6M3b95Mjx49SEhIoFGjRheeHzNmDMeOHWPt2rUlfm7NmjVkZmbSokULkpOTmTZtGgcOHGDfvn3UMdN62F3CA5gPECEhYWzfHsW334by5JOypvvJJ+W1H36QIub69WHFCllqouwjP1+WkaWkSJBITZVHWppc7Keny4X/3LlyZ79DBwkFeXny2YuDh7e3PHx95QLf318CSECAzHxUry53uAMDJSQGBUlgKJz10O1qK1d0tCwXTEuDpUtL3wL25deMvB6nnaNdnYaHMtAAoZRrs3dwWLx4cbGlSD/88APh4eEkJibS8KLKytGjRxMXF8f//vc/q46bkZHBlVdeyaRJk5gwYUKJ73Gn8ADmA0SDBmHs2BHF3LmhvPmmXMDce6+8dviwLKGIiZGGckOGOGDgyqxrr4UBA2SmSLmeL76AMWOk0H758tI7Vk+daWTKEQM00eDg6nQ1aBkU1kCM7TS22POFNRDL/17uoJEppUrjiBmHiIgIoqOjLzzq1q0LcNkuSSdPnqRBgwZWH7d69epcd911HD58uNT3Xn311YSEhHD99dcTERFBREQES5YsKdsXcQKFNRAtW7Ys9nxyciydO4fz2GNxDB0q9Q6//SavXX21NOcaOFCaVI0fX3zNvnKsgABZfqRcS26uzPANHy5B/fffSw8O09/S4OBOdEKvjLSIWinX46ilSoGBgcV2UDKZTISEhPDzzz9fqHnIyclh/fr1zJw50+rjZmdns3//fnr16lXqew8fPuwWMw9gvog6OTmWLl3C2bw5ipMnQ3nrLemkC7Ks5YsvZPvW8eNlN6Zlyyp/S02TSXbxad68cs/jyq67znm3NnV1mZlSIG6hLKpckpIkMGzZAu+/L1sTl7bj1uvvGHnxgAYHd6IzD+WgMxBKuQ5nagDn5eXFU089xWuvvca3337LX3/9xciRI6lWrRpDhw698L6+ffvy3nvvXfj1xIkTWb9+PUePHmXbtm3cfffdpKWl8cADD9ht7M7C3AzEyZOxdOsWzpw5cXz9dfHPeHnB44/D+vWyhKljR7lbWpk+/VQ6C1toxeHxFi2SBmLK9j78UOp8UlJsd8wtW6Sh35Ej8m9p3DjrgsPzf2twcDcaHspJA4RSzs+ZgkOhSZMm8dRTTzFu3Dg6depEQkICP/30U7EZipiYGE6fPn3h1/Hx8URGRnLNNdcwePBg/P392bp1K02bNrX7+J2BuQBx6lQsvXuHc/p0XImf695dmqW1aCEzE3PmyAxBZbj7bqhSBcowoaSUTWRkwIwZsmFA7doVP57JJGGkTx+ZSfvjD/m3VJrpb2lwcFdaMF1BWkStlHNyxuBgT+5WMF0Sc0XUdeuGsWvX5Z2oC+XmwrPPwttvSy3Exx/L8iZbmzpVLuJiY3V5jrKfmTNlRufQodJrEUqTlSUzDPPny+zdW29Z10H9sy+NjIoyQGMNDu5IZx4qSGcglHI+nh4cPIW5GYjTp2Pp0CGcuLiSZyD8/OQi6KuvYPVquOEG2ZnJ1p58UmcflH0ZjfL37eGHKx4cjh+Hnj1hyRJYuFC21rUmOLz3iZFRv2lwcGcaHmxAA4RSzkODg2cxFyDOnImlfXvzAQKk8HP7dpmJ6NQJVq2y7diCg+Hpp2XJR3y8bY+tVEnefFNmCypaS/Lrr1LfcOYMbN4MI0ZY97mZc4w8sU2XKrk7DQ82ogFCKcfT4OCZzAWIlJRY2rUL5/hxCRC//355jUOrVhIgbr5ZtnR9/nlpVGYrTz0lDcxefdV2x1SqJElJ8M47MuNV3mVyJhPMmgX9+snGAjt3ShM/a7z8mpFn/9Lg4Ak0PNiQBgilHEeDg2czFyDOnpUA8eOPcfTqVfJFfM2a8M03stxj5ky49Va4qF69QgIDpb7is89klxqlKsurr8qyokmTyvf5c+fgvvvk85MmwY8/gpkG9sWYTPD0C0ZeParBwVNowXQl0CJqpexLg8PlPKFguiTmiqiDgsIYPTqKN98MZd482Z++JOvWSSfqgADpmtu5c8XHdP48vPKK9JmoX7/ix1OqJDt3SnF+YYf1sjh8GAYNgmPHYMEC6cxuDZMJxo438n8ZGhw8iYaHSqIBQin70OBQMk8ND2A+QNSsGcbdd0cxf34oS5bIXdaSxMXJVqvR0fDeezB6tB0G7YE++wxmz4a9ex09Es/23Xdw//2y1Onbb+GSyTuz8vNh2CgjX/lpcPA0umypkugSJqUqnwaH0g0ZMoSIiAiWLFni6KHYjbklTGlpsXz9dTgDB8YxfDisXVvy50NDYcMGGDUKxoyRn+fP22HgHub8eTh40NGj8FwFBTB5MkRESN+T7dutDw65uTAoUoODp9KZh0qmMxBKVQ4NDpZ58sxDIXMzEDVqhNGlSxRbt4byyy/QrZv5YyxcCI8+KoXVy5dXfPtLVWT+fHjoIbkQ9fV19Gg8y9mzMtuwZg1MmyZ1Od5W3k7OyoI77zPyU30NDp5KZx4qmc5AKGV7GhyUNczNQJw7F8u2beG0bh3HHXdAaqr5YzzwAGzZIhdb118vRaTKNqpVk5+ZmY4dh6f580+p5dmyRcLD889bHxwyMsBwp5GfGmhw8GQaHuxAA4RStqPBQZWFuQCRkRHLvn3hvPFGHEFBlo/Rvj388Qd07w4DBsDEiZCTU4mD9hAaHuxv6VJpilijhhRYGwzWfzY1FfoOMLKhqTaA83QaHuxEA4RSFafBQZWHuQCRmRnLE0+Ec+SI+UZyhWrVkm7Ub70F774rnXdjYytrxJ6hMDxkZDh2HJ4gL08aFkZGyq5KmzdDWJj1nz9zBnr3M7K9hQYHpeHBrjRAKFV+GhxURVgKEO3ahXP4cOkBwssLJkyATZvkYqpDB/j66/KNJyZGdrbxZNWry0+deSi7+HiYOtW637uTJ+GWWyT0vvsuLFpUFNyskZQEvW4xsq+jAZMGB4WGB7vTAKFU2WlwULZQWoA4dKj0AAGyXnzXLujfX/bUf/TRsu/G9MEHMHw4JCaW7XPuRMND+U2aBPPmSbG5Jdu3S63O/v3w66/wxBMSgq11/Dj06GvkSDcD+SEaHJTQ8OAAGiCUsp4GB2VL5gLE+fMSIA4csC5ABAXBkiXw0UeyI1PXrnKBZq0XX4SqVaVY1VM1agQzZkDjxo4eiWv5/Xf5u/f661is1/nkE+jVC5o0kZqd3r3Ldp4jRyQ4xN9oILe+BgdVRLdqdSDdxlUpyzQ4lJ9u1WqZuW1cAwLC+OOPKBo3DqV6deu2EP3rL2k4988/MHcuPPigdXd3/+//ZNZi2zbo0qV830N5lvx8mfny8ZG/NyXtkpSdLTMMH38sf79mz4YqVcp2nn374KbbjKRFGMiqq8FBFaczDw6kMxBKmafBQVUmczMQWVmxdOwYTrducYweLY20StOmjSwPiYyUhnL33w/p6aV/7uGHoW1bePJJ686j1P/9H+zeLZ3PSwoO8fEyw/D55/Dpp7I8rqzBYdcuqXFIH6jBQZVMw4ODaYBQ6nIaHJQ9mAsQ2dmxHD4czoIFcYwfD9bMz1evLstEvvxSdmXq2FEuwizx8ZEC1q1b4YsvKvBFlEc4dQpeeEFCZ9eul7++fr38vTtxQpY2PfRQ2c+xeTOE32ok5z4D52trcFAl0/DgBDRAKFVEg4OyJ3MBIi8vFh+fcN59N44pU6w/XmSk3BmuWVM6V7/7ruXw0aePLHmaNAnS0sr3HZRnePZZWQ73+uvFnzeZZGlS375w3XVS39CpU9mP/+uvcPPtRnLuNZARrMFBmafhwUlogFBKg0NlGDJkCBERESxZssTRQ3Fa5gJEfn4s3t7hvPJKHG+/bf3xrrpK7uCOHStLku68E5KTzb9/1iw4d067VyvzsrJgzx6YPh3q1i16PiNDlsmNHy+PtWuhXr2yH//77+G2wUZMwwxk19PgoCzTgmkno0XUylNpcLAtLZguO3NF1N7eYRQURPHJJ6GMGlW2Y373HRc+8/HHEiRKkpQEISHlGLTyGPn58tPHR37GxMDgwfLzs89k2+DyWLYMhj5kxH+ULlVS1tGZByejMxDKE2lwUM7A3AxEQUEsXl7hPPxwHN99V7Zj3nGH7MbUrRsMHCjr1UsqptbgoErj41MUHNaskaVJmZlSM1Pe4DB/PgwZaSRgtAYHZT0ND05IA4TyJBoclDMxFyBMJlnC5OVlXR+Ii9WvDytXSkH10qXQrp10qVZw8CAcPuzoUbiOggJ49VUYMAB69oQdO2S3r/J4/314aJyRGmO1xkGVjYYHJ6UBQnkCDQ7KGVmagRg4MJwNG8oeILy8ZPnSnj3QsKFsp/n885CTY6tRu6Zx4+Dllx09CteQmgqDBsHkyTBlCqxaBcHB5TvWzJnw+EQjQY8bSK+pwUGVjYYHJ6YBQrkzDQ7KmVkqor7ppnDWrSt7gAC48krYsAGmTZNC6a5dpSGXp6pRQ4rFlWX79klzuPXrpY7m5ZdL7vNQGpMJXnoJnp1ipNEzBlJraHBQZafhwQ7WHlnL6oOry/VZDRDKHWlwUK7AUoC45ZZwfvmlfAHCxweee046BOfkwPXXwzvveGajOA0Ppfv6awmZVarAzp2yZKk8TCaYMAGmvWkk9DkDiV4aHFT5aHioZCczThKxNIKBSwdizDKW6xgaIJQ70eCgXImlJUwGQzhr1pQvQIA09Nq5U7Z0nTABbryx+Pr/hISiHXbclYaHkq1ZI8XQzzwjxdB33CGF0VddVb7j5efDmDEw+0MjIRMNxJk0OKjy0/BQydYdXUdOfg7X1r2W4IByLk5EA4RyDxoclCuyFCBuvz2c77+PIze3fMeuWlVmHdatg/h4aNsW3npLtm5t2VKKWt1ZjRol7z7lybZsgdtuk92U3noL3n5bOpdXr16+4+XmwogR8OliIyH/NZDkq8FBVYyGh0r229HfABjdcXSFj6UBQrkyDQ7KlVkKEBER4TRvHkdSUvmPf+ONsHevzEL897/SD+K22+CFFyCu/JMbTk/DQ3E5OdL0zd8fTp+Gn3+W5m9eXuU7XnY23HMPfLXKSMNJBpJ8NDioitMmcVY4ePoge5P3kpyRzPnc81TxrUKtgFrUqVaHpX8t5YfDP/BY58d45cZXLvvs1XOvJj4tnoQJCdSuWtsm49FGcsrVaHCwP20SVznMNZKDMEJDo9i9O5Q6dSp2ji1b4KGHpPlXlSpw002ys447mjVLuiYby7eq162YTDLbsGsXtG4tS5dCQ8t/vMxM2Z0paquR+k8biNelSspGNDxYsDB6IdM2TuNIypELz/l5+wGQW5CLF14EVgmkfUh73r31XdqFtCv2+fi0eELfCWXYdcP4YvAXNh2bBgjlKjQ4OEZheOjfvz++vr5ERkYSGRnp6GG5BUsBonnzKKKjQ6loXsvKkv38Z8yQQupZs2DixIod0xl9+CE89hjk5ZX/7ro7iI2FYcOkrqF+fTh2DAICyn+8tDS4/Xb4Y5+ReuMNHMu3XXCoyA1V5R40PJgxevVoPtn9CXdecyfD2w7n+kbX0ziwMX4+fizbt4wJayewasgqrm90vdljLNqziBErR7B+5Hp6N+1t8zFqgFDOToOD4+jMQ+WyFCBatJAZiGrVKn6eP/6QmYe0NLnIfv11CAys+HGdRVqaLFtq1Mgzw0NuLsyeLb0b8vOhbl2ZcapIcEhJgVtvhYPHjNR+0sA/ubYJDhW9oarch4aHEny661Me/eFRlty1hLtb3V3stbe3vM3EnybyXeR3DGhheb+0B1c9yNb4rex/7NL/c7nc1vitPP7j41aP8aXeL3HntXdqgFBOS4ODY2l4qHyWAkTr1lH88UcoVapU/DyxsVI8XVAAISHw7rswcKBnXmy7k61b4ZFH4K+/oFcv6eHw++/Qo0f5j5mcDLfcAglnpMZhn9E2wcEWN1SV+9DwUIKO/9eRvs37MqvfrGLPL967mOHfDifyukgWD15c6nGazW7Gf7r+hwndJlTWUAGdgVDOR4OD42l4sA9LAaJduyh27QotVzOvS733HjzxhBRW//ab7PU/dy40b17xYyv7SkmRPh8ffyzb9X7wgfzZdu0Kc+aU/7hxcXDzzZCaLTUOf6bYJjjY6obqxcp7w1Q5Bw0PJag2vRrrHljHDU1uuPDcoTOH6PB/HcgryOPg4wdpFtyM3Pxc/Hz8SjxG7NlYWr3fioQJCdSpVsHqOStogFDOQoODc9DwYD+WAsR770Xx2GMVqHr9V0GBFFJ37y7F0088AWfOSLfgp5+W3XmUcysogPnz4dlnZVeladNg3DhpGpiTI8uWqlYt37FjYqBvXyjwN1L7Pwb2nLFdjYOtbqgq96FbtZagXvV65BcUdeYxmUyM+HYEmbmZPNj+QZoFN2Pejnlsjd9q9hiHzhxiSJshdgkOoNu4KuegwUF5InPbuEIsjz8ezuzZFd9r1dtblrN4ecmSpf37pQbipZegTRv4/nvZrUc5p+3boVs3ePjhf+sRDkoA9PGR1/39yx8c/v5blj35VDdS50nbBgeAA6cPXHYD8tCZQ4z5fgx+Pn5Mv2k6ALn55Wx2olyOhocS3NHiDubtnHfh15/v+ZxtCdvw8fLhmR7P8NnuzziRfoJeTXuZPcatV93KgoEL7DDaIhoglCNpcFCezFKAGD8+nDfftG2zhho1ZAem6Gi44grpQNy/v4QK5TxOnIAHH5QlSdnZsGEDLFoktSu2sHs39OkDwSFGgh43EH3a9tux2uKGqnIvGh5K8OqNrxKTEsPdy+7mx8M/8uJvLwLQvFZzJvw0gdSsVF696VUHj7JkGiCUI2hwUMpygPjvf8OZPt323d7atJFGYitXwpEjcN118OSTcPaszU+lyiAzU/pXXH21zAp98IHsnNXL/D3HMtuyRWpgmlxlpOoYA7tPVk4fB1vcUFXuRWsezMjJz+GLvV/w2sbXiDkbg7eXN+/1f497W99rt6VIFaE1EMpeNDg4J615cBxLNRCTJ0cxZUrFayBKkp0tBbevvgp+ftKd+rHHKrbtpyqb/HxYvFh+75OT4fHH4eWXITjYtudZtw4iIqBtFyPpAw38dbbyGsCdPX+W/ov706RmEx7q8BCPfP8I8WnxXFX7KtrUb0PvK3ozvtv4Cp9HuQ4NDxZk5WXRbHYzkjOSiWwTyZd3fenoIZWJBghV2TQ4OC+XCA+mPPDyNfNaLniVvCGFK7AUIJ57LorXXqucAAGQlASvvAIffST9E159Fe6/v2h9vbN58UXo3Rv69XP0SMrPZJKO0M89B3v3wl13SYO/q66y/bl++EGO3/0mI2f6G9hro12VLHH1G6rKtnTZkgWf7vqU5IxkfLx8eLnPy44eTpnpEiZVmTQ4qHLJiIKEe+FQIMS2Kl7lW5AFKbMhtg0crAJZux02zIqytITp9dfDMRhss4QpMVEajV0sJATmzZNC2q5dYeRIaN9edmlyxtuF8+fD5s2OHkX5/f671B0MGABBQfJdvvmm5OCQny/fNy+vfOf6+mspmO87wEjKbfYJDgD+Pv4MvW4o53LOAXBf6/sY23msBgcPpeHBjOy8bF7//XUARnUYxbV1r3XwiMpHA4SqDBocXMeQIUOIiIhgyZIljh2IKReSxsK5VZCXBAXnoME7RZ3OsvZC3C2Qfwpyj0DNIRDQwbFjriBLAeKnn8K59da4Cl3Mp6ZC27bwxhslv96ihVxsbt0K9erJRWenTvDdd84VImrWlC7TrmbLFjAYpI4hPV1mBNavl12VzJk9G0aNgl27yn6+hQthyBAYOMRI4k2231WpNK5+Q1XZjoYHM97e8jYJ6QnUCqjFKze+4ujhVIgGCGVLGhxcy9KlS1m9ejWRkZGOG0RBBsQNgKo9wLsqnN8IQQ9BjX+bSmX8CkmPQMOFcG4NeFWF+u84brw2ZClArF1bsQARFARjxsDUqfDnn+bf17WrrJH/7TfZpSkiArp0gdWrpfeAo9WsKUHIVWzcKEusuneHhARYtkyKoW+7zXLX7337pBbiqafk978s5s2TGaRho4zEdKucXZUscZcbqso2PCY8mEwm7vvmPmq+XpPPdn9m8b2Hzhzi1Q2ym9I7hndoUKOBPYZYqTRAKFvQ4KDKzJQHCXdB0HDwbQBnZoDvFUXh4Px2ODkJQn+As3MhezfUe03e6yYqcwZi8mSZYRg58vLlS5cKD4eoKPjlFymivvNOmblYtKj0z1YmV5h5KCiQmYVevaQ+IykJvvpK6hvuuYdSu4jn5sKIERAWJrswlcWsWVL4/uhTRvZ1MLD7lH2DA7jXDVVVcR4THrYnbGfZvmWk56Sz+E/znRDTstMY9NUgzuedZ2ynsTzQ/gE7jrJyaYBQFaHBQZVL8nio2g1q3A4nRgImaPgx+NSEvBOQNAqarICsXXB2DlTpCMGPOHrUNmdNgCjPLECVKrBgAezZIwW6pfHykk7EGzfKo1kzuai96ip46y0wGss+hoqqWRPS0ux/XmtkZcGnn0rIuv12qVVYtUr6a9x7b+mhodD06fJn9Pnn1jeDM5kkHE6aBBNfNLKrlYFdNtqO1dNvqKqK8ZjwEBQQRK2AWlzf8PrLLp4LHTMeo8+CPuw/tZ8pfaYwb8C8Et/nyjRAqPLQ4KDKJe0ryD8BdSdD0jjIS4TAIVC9H5jyIfF+qP8WeAfDiYfkMyHvg5d7/l9TaQHCYChfgOjUSXb5eeUVuai1Vs+e0oNgzx4p+H3uOWjSRDofHzhQ9nGUlzOGh7g4WWJ0xRUwerTMGKxfL8XQERHWhwaQ7tLTpsmuUp06WfcZkwmeflr+TCe/bmRDUwPbE20346A3VFVFuOd/oUtwbd1rGd52OOHNwukR2uPC8/kF+ew6sYun1z5Nq3mt8MKLn4f/zOTwyQ4cbeXSAKHKQoOD461YsQKDwUDdunXx8vIiuixXiI6SexxOT4WQjyB9BaQvBe8gKZIGSHkDqrSXIJH8JOTFQdADUPUGx467klkKEL/8Es6998aRn1/iRy166SVo1UpmEbKzy/bZtm3ljvjx43LBumwZtGwpy5yWLCn78crKWWoe8vNladKdd8qMzNy5UqB88KDUh/TubbmmoSSZmTB8OHToIGHE2nE8+ii88w7MnGNkTV0D2xNsu1RJb6iqivCY8AAwp/8cbg67mUe+f4QuH3fhynevpPmc5jy06iGy87P59r5v+WPMH/QN6+vooVY6DRDKGhocnENGRgY9evRghjXrUpyByQQnHoQGs+XXSePkZ71p4BsC2X/JrES96ZDxC6QtBO8aUuvgASwFiOXLwxk0KK7MNQj+/hIADhyQZTXlERIixdfHj0to8PKCoUOhYUMYNw62baucXZpatpTO2I7y998y69K0qSxNOn4c3n9fiqHffVe6RJdXYiJUqyZ1JX5WtC3Jy4MHHoBPPoH3PjGyvJrtgwPoDVVVMdokzsNpIzlljgYH5/PPP//QvHlzdu/eTfv27S2+16FN4s5+COc3QaNFkPgApH0OAddD0+2AFxzvCfVmQEAnONoGcmMlONR5zr7jdDBLjeT6949i5cpQ/P3LdswjR2zbmOzAAdkidNEiuZi+8kq47z5Z79+2bdnvxDuLmBjZxnbpUlm2VauWzDI89BBcf71tv5fJZN3xsrMhMlK20v3ocyMfZlROcLjY/478j3k75pF0Lokz58+Qm59L7QfSLBwAAB1SSURBVKq16XlFTyKuieCWsFvwctU/ZFVpNDwoDRDqMhocnJNLhIfcRDjWHZpth+x9EHeTPH/FJqjWHYyfwvmtUjR9eiqcngK+TSDsMHgHXPIlvoazsyHrDzBlAz4SQmreD+RC6gLI/nePUr/mUHOozG5c7Oh1MtMBUKUDNP4K/CtwK9nGLAWIPn2iWLs2lCpVHDK0YvLzZbvXr76C5culsLp5c+kdMWCA1E84wzjNyc+HHTtkWdKqVbK1bdWqMtMQGSnbrDpy/JmZMHiw7Ia1YKmRd05XfnBQqrw0PChAA4QqosHBeblEeEi4B6r1haAH4Z92kHMQakZCoy8hPxWO3QBXbARTFsReA6ZMCJkPwSPNH/Psh5A8Fmo/A/UvWboVdwdkfC+zGlU7l/z5+Ltkt6fgB232NW3JUoDo2jWK334LtXqHHnvIyZGeEStXyoX4iRNQvboUXd90k/xs3x58fR03xoIC2L8fNmyQ0LNuHaSkyAzDbbfBoEFw660ybkdLT5cQs3MnfLnCyLRjBnae0OCgnJdH1Two87QGQoEGB2ewePFiatSoceGxceNGRw/JeufWQl4CBI+Bs+9KcPCqAvWkuRSnp0Ktx8C3rvxvUyb4t4KgEZaP6xVQ/OfFgv/9O5m21PznTRkQNLLMX8deLNVAbNsWTp8+cWRkOGRoJfL3l87KH3wgS5mio2UnodxcKdzu3Fka2IWHw8SJ8OWXcqe/sgqv8/KkqPmbb6Qo2WCAOnWgTRv4z3+k7uCxx+D33+HkSfjiC7jrLucIDikpcPPN8nu4/AcNDso16MyDKkZnIDyXBgfnkJ6eTnJy8oVfN27cmKr/3nYuz8xD//798b3kFnBkZKTtO04XZME/HaDRMvC7AmLCoCAFaj8N9d+E7AOQOBSa7YC8eIi5GsiV99e8x/KxjQsg6UGoMxnqTSn+mikXjjQCfOGqePDyKf76+a1w7keo5/yNrSzNQHTsGEVUVCiBgQ4ZmtWys6Xb8qZNskXpjh1w7Ji85u0tS52uvFJ2M2rcWIq069WD4GAIDJTi4ipV5L0FBRJIzp+Xu/Nnz8Lp05CcLKHl2DGpXYiJKWpyFxIi26F26SIdoG+4wTlCQkmSk6VTdUKCBIeJezQ4KNfgwElF5YwKZyCAYgGicAZCA4R70uDgPAIDAwm04RXi0qVL7bNs6cxrEDgIAq6D069IcPAOhNrPyuvJ/4H6s+Ti/uw8IFdmHQLvrth5vfykd4TxPchYCzVuK/566iKoPb5i57CTwhmIywNELLt2hdOzZxQbNoQSFOSwIZaqShW5aO/eveg5o1FmHvbvh0OHIDZWQsXKlXDqVNl3cKpTBxo1kt2R+vWTDtvXXiszDQ1cpH9ZfLw060tLg+9+NvLkDg0OynVoeFCX0QDhWTQ4OL+UlBSOHz9OYmIiAAcPHgQgJCSEkJAQRw5NZO2Bc99C0x3S/M34kTwf/O8SpbRvpKN09b5ypZj6ubxe++ni29Dkp8lSJ3O1C+YEjZDwkPp58fBgypH+Ef423H6oklkKEHv3FgWIWrWsP2ZSkizr6dPH5sO1SnAw9Oolj0vl58uMwtmzcO6cFA7n5BTtUOTnJ4XNgYGyFKp2beu2PHWEN96QJV1PPWX5fbGxEhwKCuCHX408+ruBHRoclAvRmgdVIq2B8AwaHFzD6tWr6dChAwMGDABgyJAhdOjQgQ8//NC+A8n4SXYvSv5P0XMF5+HESAj5THZLytwgdQ/4QO0nIf8snHoe6v/bHC57D+QnSVfpmsMuOk4WJN4HlKNDWtXO4N8Szq2SouxC576H6gPK8UUdy1INxF9/hdOrVxynT1t/vJdfll2R4uNtOkyb8PGBunWll0KHDtCjB9x4oxRe33ij7OJ0/fUyu9CggfMGh23b4Pnn4cwZy+/bv19ClJ8ffP+LkUc3aXBQrkfDgzJLA4R70+DgOkaOHInJZLrsMWXKFPsOJPkp2fb07FzIPVbUDC54VNFsQfYe+Vm1uzSESxony4b8QuX53Fj5WeN28P53b8z8NEgYDLWeKH+H6aARsoNT+rKi59KWQc37ync8B7MUIPbvD6dnzzhOnrTuWDNmyLr/kSPlbrezMZmkVuGzzxw9kvI5dw6GDYOOHSWomRMdLV2qa9eWpUoPrzewI1GDg3I9Gh6URRog3JMGB1UuXlXBNxSCHwWv6pA4BPyaQa3Hi97j/W+9Rn4KJN4P3tWh1kX//fBr9u+x/g0O53dA/O1Qe+Ll9QplUfN+wBtSF8qv806Dly/4BJf/mA5mLkAUFMRy5Eg4PXrEceJE6cepXRsWLIBff4U5cypnrBXh5QVZWaXftXdW//mPLA378kvzMyNbt8pMStOmsGqtkRE/ax8H5bo0PKhSaYBwLxocVLk1eFcu+rP+gLibpdj50r4LNSMh6CHwawLVboaGnxR/PaAj1JsJ576D2FZg/BAaLYXqN1VsbH5NoNqN0tk6JwbSlshYXJy5AJGfH8vRo+F07x5n1XKkm2+WtfjPPSfFy84mKAhSU0t/n7P5+muYPx/mzjXf2TsqSn7/27SRXZUif9TgoFybbtWqrKbbuLo+DQ6eo9KaxJlMUHAOfOy4Z6ilrVovlvo5nHgA6rwsAafJSpl9cAPmtnH19Q2jUSMpom7a1PIxsrJkG1Nvb9lGNaCEthmO0ratFHTPnevokVjv+HFo106CwbJlxWv/C/34o/SU6NUL5i8xMvhbDQ7K9enMg7KazkC4Ng0Oyia8vOwbHMoi8C7wrgHG98G/hdsEBzA/A5GXF0tiosxAxMRYPkZAgCytOXhQmqk5E1ebeTCZ4IEHZBeojz4qOTgsXy6F6v36wefLNDgo96HhQZWJBgjXpMFBuTRTVvGf5nhXhxqDIf9M6V2rXZClAHHypNRA/LuLr1lt28Lrr0tjMmcqng4Oln4QrsLLC6ZOhSVLKHHb3EWL4N57Zdbhky+M3PmNBgflPnTZkioXXcLkOjQ4eKZKW7ZkT2lfw9k5sgTJlAX4QEAnCLq/eJH2xTI3wMn/QrNtdh2qPZlbwuTtHUbt2tKJunVr858v/H/9ku6WO8r990NcHKxf7+iRVNyHH8LYsTBqFMycY+S2Lw1s112VlBvR8KDKTQOE89Pg4LkKw0P//v3x9fUlMjKSyEjXLyBWwlKACAyMYu3aULp2ddDgyuHxx2HjRtizx9EjqZg334T//ld2YJr8upH+izU4KPej4UFViAYI56XBwbO5xcyDsshSEbWvbxTffhvKrbc6aHBltHkznDghy3xckckky5imTpVmcRNfNHLrFxoclHvS8KAqTAOE89HgoDQ8eAZzAcLPL4yCgigWLgxl2DAzH1Y2YTLJbMNbb8Frr8HY8UYMizQ4KPelBdOqwrSI2rlocFDKc5gros7NjcXXN5z7749j9mwHDc4DFBTAuHESHN59V4OD8gwaHpRNaIBwDhoclPI85gJEdnYs1aqFM358HM89V1QorcomKwsOH778+bw8GDlStmr99FMYPtqIQZcqKQ+g4UHZjAYIx9LgoJTnMhcgMjNjqVMnnBkz4nj4YbngLUlGBtx3H/z6qx0G62ImTYIbboD09KLncnJgyBDZqvXLL2Hw0H+Dg27HqjyAhgdlUxogHEODg1LKXIA4cyaW+vXDWbgwjrvugvPnL/9s1aqQkgLDh8Pp03YasAtYvVq6Xk+ZIg3hQH7/Bg6E776TRnCGOzU4KM+iBdOqUmgRtf1ocFAl0YJpz2WuiDokJAyjMYrOnUNZvVoas10sMVGayHXvDqtWOVcfCEeIi4P27aFXL/j2W/n9SE+HO+6AHTvk96hTTw0OyvPozIOqFDoDYR8aHJRSlzI3A5GUJEuY9u6No3dvCQsXa9QI5s+XO+rz5tlxwE4oLw+GDYNq1aSewcsLzp6FW26B3bth7VoNDspzaXhQlUYDROXS4KCUMsdcgEhIiKVmzXBOnYqjRw84dKj45+64Qxq2Pf00/Pmn/cZrMskF+dGj9junJa+8Aps2SU1DnTpw8iTceKMUTq9bB206aXBQnkvDg6pUGiAqhwYHpVRpzAWIuDjZxtXXN46ePeGPP4p/btYsaNFCCoIzM+0zVi8vGDRIagwcbd06mDZNGr717AkJCdCnDyQnw/r1cGVrDQ7Ks2l4UJVOA4RtaXBQSlnLXICIj48lIyOcJk3iCA+HX34pei0gAJYulVmAl1+231iDg8FotN/5zNm8GW66CZ57Tn4PevWS3ag2bIAmV2lwUErDg7ILDRC2ocFBldWQIUOIiIhgyZIljh6KchBzAeLEiViSk8Pp1CmO226DZcuKXmvVCr75BiZOtN84a9WSugJHe/FFWLNGlij16gU+PrBxI9QL1eCgFOhuS8rOdBem8tPgoMpCd1tSlzK3C1PjxmF06RLFypWhzJoFEyY4ZqelHj3g6qthwQL7n/tSe/ZIcXT9+vDzz1C1lgYHpQrpzIOyK52BKB8NDkqpirJURL1jRziPPRbHxIkwbpz5ZnKVKTjYOWYetm2D8HAIDYWoKA0OSl1Kw4OyOw0QZaPBQSllK5ZqIFatCmfWrDg++UR2XUpLs+/YatVyfM3D+vVw882ybGvdOvCtocFBqUtpeFAOoQHCOhoclFK2ZmkXpnnzwvn88zi2bJGdhuLi7DcuRxdM/+9/cOut0LUr/PQTmKpocFCqJBoelMNogLBMg4NSqrKYCxBHj8by4ovhLF8eR3q6XEhfupVrZXHEzENh1eeKFRARIXUO338PuT4aHJQyR8ODcigNECXT4KCUqmzmAkRsbCxjxkiACA2F3r1h1aqi16Oiii66bemFFyAmxvbHNWfHDlmi9MEHcO+9MHgwLF8OWWhwUMoSDQ/K4TRAFKfBQSllL5YCxD33hLNoURz9+0sDt5kzYe9e6bQ8e7btxxIQAL6+tj9uSYxGCQwxMfDYYzBiBCxeDBn5GhyUKo1u1aqchm7jqsFB2Y5u1arKwtw2rmFhYaxbF8XHH4cyfbp0na5fX+7Wb94MnTo5aMAVYDLB3XfDjz9CVhY88YSEobQcDQ5KWUPDg3IqnhwgNDgoW9LwoMrKUoCIiopi27ZQHnhAejGYTNJ1edcucLW/Xu++C08+Kf/7uedg+nRIzdbgoJS1dNmSciqeuoRJg4NSytEsLWHq3Tucrl1lF6bUVNmFKTERHnmkcuofKsuOHTB+vPzv6dPhtdc0OChVVhoelNPxtAChwUFVpiFDhhAREcGSJUscPRTlAswFiH/+iaVPn3Bq1Ypj507o2FGW/CxdCh9/7KDBllFKihRIFxTAm2/C88+DMUuDg1JlpcuWlNPyhCVMGhxUZdFlS6oizC1hat48jPXro2jYMJTJk+XOvbc3bNwI3bs7aLBWSE+XjtGpqfD66/DssxoclCovnXlQTsvdZyA0OCilnJWlPhB9+oRz4kQc06fL1qbe3nJH/9dfHTTYUuzfDy1aSHC4/XYNDkpVlIYH5dTcNUBocFBKObvSAkRcXByDB8OaNdCoEfTrB5MnQ15e+c85bhx8/XUFB/4vkwk+/BCuv162gH34YfjuOw0OSlWUhgfl9NwtQGhwUEq5CksBIjxcAsTNN8OBAzBlihQhd+8Of/9dvvP99JMUNVdUQgIMGABjx0oPh4MHpTZDg4NSFafhQbkEdwkQGhyUUq7G0i5MhQHC1xdeekl6P6SnQ4cOMG0a5OSU7Vy1a8PZs+Ufa0GBhITWrSE6Gr7/XmYfqlXT4KCUrWh4UC7D1QOEBgellKuyJkAAdOkCu3fLdqhTpkiIWLfO+vPUqiXdn8sjOhp694YxY2DwYNi3T2YfQIODUrak4UG5FFcNEBoclFKuztoAERAAM2ZIA7ngYOjbFwYNkqVDpQkOli1VyyIhQeoZOnaUz65bB599JkEENDgoZWsaHpTLcbUAocFBKeUurA0QAG3bwu+/w+LFMhvRqhUMHy4zAubUqmX9sqVjx+A//4Err4SVK2H2bNizB268seg9GhyUsj0ND8oluUqA0OCglHI31gaI1FSZFRg6VGYd5syBqCho00a2dl26FDIyih+7tJqHnBypYxg8GMLC4Isv4IUXIDZWgoSPD5w6Je/V4KBU5dAmccqlOXMjOQ0OypG0SZyqbOYayYWFhREVFcWoUaEYjTL74O8vr+XkyFasH3wAmzZB1apw003Qp48sO/r1V3j/fal7yM2F06chJkZmLjZuhJ9/llDSti088gg88ABUr1507jfegLffhm17jNz7nQYHpSqDhgfl8pwxQGhwUI5WGB769++Pr68vkZGRREZGOnpYys1YChBz5kQxeHAojz8uF/SXiomBFStg7VrYsgUyM82fx98fOnWSXhKDBkl4uNTGjbJk6clnjPzeXIODUpVFw4NyC84UIDQ4KGegMw/KXiwFiOHDo5g6NZRVqyAiwvwx8vPhyBFYtEh6RbzzjtQ/1KkDzZpJh+jC2YuSnDwpOzs1b2kk5z4DOxI1OChVWTQ8KLfhDAFCg4NyFhoelD1ZChBXXRXFjh2h7N4NTZtaPs4//8D//ieF1RcvR7IkPx9uvRWiDxgJfc7A7lMaHJSqTBoelFtxZIDQ4KCciYYHZW/mAkSzZmHk5kYRGhrKhg3g52fb806dClNmGLl2moED5zQ4KFXZdLcl5VYctQuTBgellKcztwvTP//EAuHs2BHHCy/Y9py//CLBofGzGhyUshcND8rt2DtAaHBQZbFixQoMBgN169bFy8uL6OjoUj+zYMECvLy8LntkZWXZYcRKWc9cgEhIiCU4OJzNm+PIzbXd+b5aZaTmYwYS0OCglL1oeFBuyV4BQoODKquMjAx69OjBjBkzyvS5mjVrcuLEiWKPgICAShqlUuVnLkCcORPLiRPhJCXFmflk2RizjOxtayAtUIODUvbk6+gBKFVZCgMEUKwGojBAVLQGQoODKo/hw4cD8M8//5Tpc15eXoSEhFTCiJSyvcIAcWkNRGEjuagoqYEorwsN4HRXJaXsTmcelFurrBkIDQ7K3s6dO0fTpk1p0qQJt99+O7t373b0kJSyyNpO1GWlnaOVciwND8rt2TpAaHBQ9nbttdeyYMECVq9ezZIlSwgICKBHjx4cPnzY0UNTyiJbBwgNDko5noYH5RFsFSA0OKiyWLx4MTVq1Ljw2LhxY7mOc8MNN3D//ffTrl07evXqxbJly2jRogVz58618YiVsr2yBoi9e2HbtsuPo8FBKeegfR6UR6lIHwgNDqqs0tPTSU5OvvDrxo0bU7VqVUBqHpo3b87u3btp3759mY89evRo4uPjWbNmTYmvF/Z56N+/P76+xcvbIiMjiYyMLPM5laoIS43kfvstiiuukBqIoUPhxAn47bei9xizjBgWaY2DUs5AC6aVRylvEbUGB1UegYGBBAYG2vy4JpOJ6OhorrvuulLfu3TpUm0Sp5yCpSLqdu3C2btXiqhr14Z9+4o+Z8wy0mmOgZgsDQ5KOQNdtqQ8TlmXMGlwULaUkpJCdHQ0f//9NwAHDx4kOjqapKSkC+8ZMWIEzz333IVfT506lbVr1xIbG0t0dDSjRo0iOjqaRx991O7jV6oizC1hMhpj6dJFljDVqgVnz/77fJaRPp9ocFDKmWh4UB7J2gChwUHZ2urVq+nQoQMDBgwAYMiQIXTo0IEPP/zwwnuOHz/OiRMnLvzaaDQyZswYWrZsSb9+/UhISGDDhg106dLF7uNXqqLMBYikpFh69gwH4khJkeBwy+cG9p7R4KCUM9GaB+XRLNVALL17KXuW7NHgoFxSYc1DamqqLltSTslcDUS9emGcSl9F5zmj2HFCg4NSzkbDg/J45gKEl8mLKt944XfAi/T8/AvPlxQcctLTKcjNNXsObz8//EtZ+56VkmLxdb8aNfDx9zf7en5ODrnnzlk8RkDt2hZf1+9RxNW/R2F4SD561GJ4cPbvUcjV/zwK6fcQhd/j1KlTDBo0iEOHDl14zVTFROYwPwoaZxf7jAYHpZyDhgelMB8gvAvgiS1NmPNzPGB+xmHj+PHE/fST2eOH9utHr3fesTiGL1u3tvh6z7ff5gqDwezrx9eu5fcJEyweY+jFVYgl0O9RxNW/R2F4+Piaa6jm42P2GM7+PQq5+p9HIf0ewtz3yPDLZ2bvY8TUySr2vAYHpZyH1jwoRVENxKOdihegFnjD3G7x0FKXKimlVGUyFxzqV62vwUEpJ6LhQal/eXl58X7/92mdWfyOWoE3jHhkhAYHpZSqRHneJs77FhR7zjvDmwU3LtDgoJQT0fCg1EW8vb3Z+/reYgHi4R0NWfjkQgeOSiml3F9Qti8vRjWjUarUSnhnePP9Pd/Tv3N/B49MKXUxrXlQqgQFBQW0f749Heq05v9Gve9SBYiW6PcQnvA9tGC6OP0eRZz9e/wdtx/D/Dv4fNhiDQ5KOSEND0op5YYKw0P//v3x9fUlMjKSyMhIu51/79y5HP/pJ25bsQJvPz+7nVcppVTl8nX0AJRSSlWepUuXOqTPQ+zKlfhUqaLBQSml3IyGB6WUUjaVGhtLZlISHZ95xiHnL8jP5++PP+b42rX416xJbmYmjXr2pM2jj+JTpYpDxqSUUu5Cw4NSSimbStqyBZ+qVQkbONAh5985fToJUVEYliyhWoMG5J47xy8PPEDK/v2Ef/ABXl5eDhmXUkq5A91tSSmllE0lbd5MswED8HfAcqlTu3Zx5KuvaDVqFNUaNACkePe6xx7jxMaNHFuzxu5jUkopd6LhQSmllM0U5OWRvGMHLexYnH2x2JUrAQjt27fY84169cLb35+Y5csdMSyllHIbGh6UUkrZzJm9e6nVogW1rr3WIedP3r4d32rVqBYSUux5bz8/Aps25XR0NAX5+Q4Zm1JKuQOteVBKKVWqswcOsH/BAjLi42n18MPU69CBP+fNIz83l6zTp7lu7FhqtWxJyv79XD10qEPGWJCXR0ZiIgF16pT4ul/16uRnZZF15gzV6te38+iUUso96MyDUkqpUh384gtumDaNhj17svWll9g2eTItH3qIpgYDievXE7NiBQDXDBtGs9tuc8gYc9LTMeXn41e9eomv+1arJu9LTbXnsJRSyq3ozINSSimL0o8fp2q9enj7+nL+5ElyUlNpPWYM1Ro04HR0NL7VqtE4PLzMx9338cec2LSpzJ+rEhRErzlzLnu+IDsbAG8znY0Le07kpqeX+ZxKKaWEhgellFIWZZ05Q2i/fgCc2r2beh07UrtVKwCuMBi4wmAo13Fbjx5N69GjbTZOv8BAi6/nZWYCaK8HpZSqAF22pJRSyqJ6HTpQu2VLss6exXj4MPU7d3b0kErkV706PlWrgslU4uu5GRkADtlCViml3IWGB6WUcmNDhgwhIiKCJUuWVPhYJ7dvB5OJBk4aHgBqNG5MTlpaia9lnz2Lt78/1Ro1svOolFLKfeiyJaWUcmNLly6lpo3utCdv24a3vz9127WzyfHKW/PgHxRE7xJqHkD6OeyfP5+c1FT8g4IuPJ+TlkbmiRPU79wZbx+fco9ZKaU8nYYHpZRSVknesYO67drZrGbA1jUPAE1uuon98+dz/Oefueruuy88f3ztWgCa33mnTc+nlFKeRpctKaWUKtX5U6dIi4112nqHQvU6dqTxjTfy57x5ZCQmAlLw/fenn1K/c2fCBg508AiVUsq16cyDUkqpUmWdOUNAnTo0LefOSvbU8+23+euDD4gaNw7/GjXIOnuWhj160H78eLy8vBw9PKWUcmleJpOZbSmUUkq5rLS0NIKCgkhNTbVZzYNSSimly5aUUkoppZRSVtHwoJRSSimllLKKLltSSik3ZDKZSE9PJzAwUNf5K6WUshkND0oppZRSSimr6LIlpZRSSimllFU0PCillFJKKaWsouFBKaWUUkopZRUND0oppZRSSimraHhQSimllFJKWUXDg1JKKaWUUsoqGh6UUkoppZRSVtHwoJRSSimllLKKhgellFJKKaWUVTQ8KKWUUkoppayi4UEppZRSSilllf8H7RkCIjBMY6AAAAAASUVORK5CYII=\n", "text/plain": [ "Graphics object consisting of 98 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph += graph_t + graph_r\n", "show(graph + bifhor + sing + scri + region_labels, aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "r_tab = [2.01*m, 2.1*m, 2.5*m, 4*m, 8*m, 12*m, 20*m, 100*m]\n", "curves_t = dict()\n", "for r0 in r_tab:\n", " curves_t[r0] = M.curve({X_SD_III: [t, r0, pi/2, pi]}, (t,-oo,+oo))\n", " curves_t[r0].coord_expr(X_C.restrict(M_III))" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "graph_t = Graphics()\n", "for r0 in r_tab:\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-150, -10), \n", " parameters={m:1}, plot_points=100, color='chocolate', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-10, 10), \n", " parameters={m:1}, plot_points=100, color='chocolate', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(10, 150), \n", " parameters={m:1}, plot_points=100, color='chocolate', style='--')" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "t_tab = [-50*m, -20*m, -10*m, -5*m, -2*m, 0, 2*m, 5*m, 10*m, 20*m, 50*m]\n", "curves_r = dict()\n", "for t0 in t_tab:\n", " curves_r[t0] = M.curve({X_SD_III: [t0, r, pi/2, pi]}, (r, 2*m, +oo))\n", " curves_r[t0].coord_expr(X_C.restrict(M_III))" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "graph_r = Graphics()\n", "for t0 in t_tab:\n", " graph_r += curves_r[t0].plot(X_C, ambient_coords=(X1,T1), prange=(2.0001, 4), \n", " parameters={m:1}, plot_points=100, color='chocolate') \n", " graph_r += curves_r[t0].plot(X_C, ambient_coords=(X1,T1), prange=(4, 1000), \n", " parameters={m:1}, plot_points=100, color='chocolate')" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 144 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph += graph_t + graph_r\n", "show(graph + bifhor + sing + scri + region_labels, aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": [ "r_tab = [0.1*m, 0.5*m, m, 1.25*m, 1.5*m, 1.7*m, 1.9*m, 1.98*m]\n", "curves_t = dict()\n", "for r0 in r_tab:\n", " curves_t[r0] = M.curve({X_SD_IV: [t, r0, pi/2, pi]}, (t,-oo,+oo))\n", " curves_t[r0].coord_expr(X_C.restrict(M_IV))" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "graph_t = Graphics()\n", "for r0 in r_tab:\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-150, -2), \n", " parameters={m:1}, plot_points=50, color='gold', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(-2, 2), \n", " parameters={m:1}, plot_points=50, color='gold', style='--')\n", " graph_t += curves_t[r0].plot(X_C, ambient_coords=(X1,T1), prange=(2, 150), \n", " parameters={m:1}, plot_points=50, color='gold', style='--')" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "t_tab = [-20*m, -10*m, -5*m, -2*m, 0, 2*m, 5*m, 10*m, 20*m]\n", "curves_r = dict()\n", "for t0 in t_tab:\n", " curves_r[t0] = M.curve({X_SD_IV: [t0, r, pi/2, pi]}, (r, 0, 2*m))\n", " curves_r[t0].coord_expr(X_C.restrict(M_IV))" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "graph_r = Graphics()\n", "for t0 in t_tab:\n", " graph_r += curves_r[t0].plot(X_C, ambient_coords=(X1,T1), prange=(0.001, 1.9999), \n", " parameters={m:1}, plot_points=100, color='gold') " ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 177 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph += graph_t + graph_r\n", "graph += bifhor + sing + scri + region_labels\n", "show(graph, aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [], "source": [ "graph.save('max_carter-penrose-std.pdf', aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "SageMath 8.2", "language": "", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.14" } }, "nbformat": 4, "nbformat_minor": 1 }