{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Hyperbolic plane $\\mathbb{H}^2$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*This worksheet illustrates some features of [SageManifolds](http://sagemanifolds.obspm.fr/) (v0.8) on computations regarding the hyperbolic plane.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we set up the notebook to display mathematical objects using LaTeX formatting:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%display latex" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also define a viewer for 3D plots:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "viewer3D = 'tachyon' # must be 'jmol', 'tachyon' or None (default)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We declare $\\mathbb{H}^2$ as a 2-dimensional differentiable manifold:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2-dimensional manifold 'H2'\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "2-dimensional manifold 'H2'" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "H2 = Manifold(2, 'H2', latex_name=r'\\mathbb{H}^2', start_index=1)\n", "print H2\n", "H2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We shall introduce charts on $\\mathbb{H}^2$ that are related to various models of the hyperbolic plane as submanifolds of $\\mathbb{R}^3$. Therefore, we start by declaring $\\mathbb{R}^3$ as a 3-dimensional manifold equiped with a global chart: the chart of Cartesian coordinates $(X,Y,Z)$:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "chart (R3, (X, Y, Z))" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "R3 = Manifold(3, 'R3', latex_name=r'\\mathbb{R}^3', start_index=1)\n", "X3. = R3.chart()\n", "X3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hyperboloid model\n", "\n", "The first chart we introduce is related to the **hyperboloid model of $\\mathbb{H}^2$**, namely to the representation of $\\mathbb{H}^2$ as the upper sheet ($Z>0$) of the hyperboloid of two sheets defined in $\\mathbb{R}^3$ by the equation $X^2 + Y^2 - Z^2 = -1$:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "chart (H2, (X, Y))" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_hyp. = H2.chart()\n", "X_hyp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The corresponding embedding of $\\mathbb{H}^2$ in $\\mathbb{R}^3$ is" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Phi_1: H2 --> R3\n", " (X, Y) |--> (X, Y, Z) = (X, Y, sqrt(X^2 + Y^2 + 1))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi1 = H2.diff_mapping(R3, [X, Y, sqrt(1+X^2+Y^2)], name='Phi_1', latex_name=r'\\Phi_1')\n", "Phi1.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By plotting the chart $\\left(\\mathbb{H}^2,(X,Y)\\right)$ in terms of the Cartesian coordinates of $\\mathbb{R}^3$, we get a graphical view of $\\Phi_1(\\mathbb{H}^2)$:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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mTEk9V8gw5lq5tT/22GOzZ8/2eDzmXwsKuvr7NXNbipH8fpSVZZ0xkZvfj7Ky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\nSxlQaJAKotZIKRR7qYQSg5Q69TRIZVm/f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"text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(X_hyp.plot(X3, mapping=Phi1, nb_values=15, color='blue'), aspect_ratio=1, \n", " viewer=viewer3D, figsize=7)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "A second chart is obtained from the polar coordinates $(r,\\varphi)$ associated with $(X,Y)$. Contrary to $(X,Y)$, the polar chart is not defined on the whole $\\mathbb{H}^2$, but on the complement $U$ of the segment $\\{Y=0, x\\geq 0\\}$: " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "open subset 'U' of the 2-dimensional manifold 'H2'\n" ] } ], "source": [ "U = H2.open_subset('U', coord_def={X_hyp: (Y!=0, X<0)})\n", "print U" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that (y!=0, x<0) stands for $y\\not=0$ OR $x<0$; the condition $y\\not=0$ AND $x<0$ would have been written [y!=0, x<0] instead." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "chart (U, (r, ph))" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_pol. = U.chart(r'r:(0,+oo) ph:(0,2*pi):\\varphi')\n", "X_pol" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "r: (0, +oo); ph: (0, 2*pi)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_pol.coord_range()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We specify the transition map between the charts $\\left(U,(r,\\varphi)\\right)$ and $\\left(\\mathbb{H}^2,(X,Y)\\right)$ as $X=r\\cos\\varphi$, $Y=r\\sin\\varphi$:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "coordinate change from chart (U, (r, ph)) to chart (U, (X, Y))" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_hyp = X_pol.transition_map(X_hyp, [r*cos(ph), r*sin(ph)])\n", "pol_to_hyp" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "X = r*cos(ph)\n", "Y = r*sin(ph)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_hyp.display()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Check of the inverse coordinate transformation:\n", " r == r\n", " ph == arctan2(r*sin(ph), r*cos(ph))\n", " X == X\n", " Y == Y\n" ] } ], "source": [ "pol_to_hyp.set_inverse(sqrt(X^2+Y^2), atan2(Y, X)) " ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "r = sqrt(X^2 + Y^2)\n", "ph = arctan2(Y, X)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_hyp.inverse().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The restriction of the embedding $\\Phi_1$ to $U$ has then two coordinate expressions:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Phi_1: U --> R3\n", " (X, Y) |--> (X, Y, Z) = (X, Y, sqrt(X^2 + Y^2 + 1))\n", " (r, ph) |--> (X, Y, Z) = (r*cos(ph), r*sin(ph), sqrt(r^2 + 1))" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi1.restrict(U).display()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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zQxq7iEQ2WlvkTtrSndrBsc1fdAnvplJ/6nmdtbXv7Ywt39zEEOLxtz1vF/Sk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\nys8AAAAASUVORK5CYII=\n", "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph_hyp = X_pol.plot(X3, mapping=Phi1.restrict(U), nb_values=15, ranges={r: (0,3)}, \n", " color='blue')\n", "show(graph_hyp, aspect_ratio=1, viewer=viewer3D, figsize=7)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "{(chart (H2, (X, Y)),\n", " chart (R3, (X, Y, Z))): functions (X, Y, sqrt(X^2 + Y^2 + 1)) on the chart (H2, (X, Y))}" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi1._coord_expression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Metric and curvature\n", "\n", "The metric on $\\mathbb{H}^2$ is that induced by the Minkowksy metric on $\\mathbb{R}^3$: \n", "$$\\eta = \\mathrm{d}X\\otimes\\mathrm{d}X + \\mathrm{d}Y\\otimes\\mathrm{d}Y\n", " - \\mathrm{d}Z\\otimes\\mathrm{d}Z$$" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "eta = dX*dX + dY*dY - dZ*dZ" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eta = R3.lorentz_metric('eta', latex_name=r'\\eta')\n", "eta[1,1] = 1 ; eta[2,2] = 1 ; eta[3,3] = -1\n", "eta.display()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = (Y^2 + 1)/(X^2 + Y^2 + 1) dX*dX - X*Y/(X^2 + Y^2 + 1) dX*dY - X*Y/(X^2 + Y^2 + 1) dY*dX + (X^2 + 1)/(X^2 + Y^2 + 1) dY*dY" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g = H2.riemann_metric('g')\n", "g.set( Phi1.pullback(eta) )\n", "g.display() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The expression of the metric tensor in terms of the polar coordinates is" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = 1/(r^2 + 1) dr*dr + r^2 dph*dph" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display(X_pol.frame(), X_pol)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Riemann curvature tensor associated with $g$ is" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor field 'Riem(g)' of type (1,3) on the 2-dimensional manifold 'H2'\n" ] } ], "source": [ "Riem = g.riemann()\n", "print Riem" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Riem(g) = -r^2 d/dr*dph*dr*dph + r^2 d/dr*dph*dph*dr + 1/(r^2 + 1) d/dph*dr*dr*dph - 1/(r^2 + 1) d/dph*dr*dph*dr" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Riem.display(X_pol.frame(), X_pol)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Ricci tensor and the Ricci scalar:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "field of symmetric bilinear forms 'Ric(g)' on the 2-dimensional manifold 'H2'\n" ] } ], "source": [ "Ric = g.ricci()\n", "print Ric" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Ric(g) = -1/(r^2 + 1) dr*dr - r^2 dph*dph" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Ric.display(X_pol.frame(), X_pol)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "scalar field 'r(g)' on the 2-dimensional manifold 'H2'\n" ] } ], "source": [ "Rscal = g.ricci_scalar()\n", "print Rscal" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "r(g): H2 --> R\n", " (X, Y) |--> -2\n", "on U: (r, ph) |--> -2" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Rscal.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hence we recover the fact that $(\\mathbb{H}^2,g)$ is a space of **constant negative curvature**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In dimension 2, the Riemann curvature tensor is entirely determined by the Ricci scalar $R$ according to\n", "\n", "$$R^i_{\\ \\, jlk} = \\frac{R}{2} \\left( \\delta^i_{\\ \\, k} g_{jl} - \\delta^i_{\\ \\, l} g_{jk} \\right)$$\n", "\n", "Let us check this formula here, under the form $R^i_{\\ \\, jlk} = -R g_{j[k} \\delta^i_{\\ \\, l]}$:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "True" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "delta = H2.tangent_identity_field()\n", "Riem == - Rscal*(g*delta).antisymmetrize(2,3) # 2,3 = last positions of the type-(1,3) tensor g*delta " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly the relation $\\mathrm{Ric} = (R/2)\\; g$ must hold:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "True" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Ric == (Rscal/2)*g" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PoincarÃ© disk model\n", "\n", "The PoincarÃ© disk model of $\\mathbb{H}^2$ is obtained by stereographic projection from the point $S=(0,0,-1)$ of the hyperboloid model to the plane $Z=0$. The radial coordinate $R$ of the image of a point of polar coordinate $(r,\\varphi)$ is\n", "$$R = \\frac{r}{1+\\sqrt{1+r^2}}.$$\n", "Hence we define the PoincarÃ© disk chart on $\\mathbb{H}^2$ by" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "chart (U, (R, ph))" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_Pdisk. = U.chart(r'R:(0,1) ph:(0,2*pi):\\varphi')\n", "X_Pdisk" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "R: (0, 1); ph: (0, 2*pi)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_Pdisk.coord_range()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and relate it to the hyperboloid polar chart by" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "coordinate change from chart (U, (r, ph)) to chart (U, (R, ph))" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_Pdisk = X_pol.transition_map(X_Pdisk, [r/(1+sqrt(1+r^2)), ph])\n", "pol_to_Pdisk" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "R = r/(sqrt(r^2 + 1) + 1)\n", "ph = ph" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_Pdisk.display()" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Check of the inverse coordinate transformation:\n", " r == r\n", " ph == ph\n", " R == R\n", " ph == ph\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "r = -2*R/(R^2 - 1)\n", "ph = ph" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_Pdisk.set_inverse(2*R/(1-R^2), ph)\n", "pol_to_Pdisk.inverse().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A view of the PoincarÃ© disk chart via the embedding $\\Phi_1$:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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U1v42FJppmv9PIa+bGUNlehguGBoCJDOuEMw5iAEJ8VPg6ixjDJe/eDtwk5Tb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"text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(X_Pdisk.plot(X3, mapping=Phi1.restrict(U), ranges={R: (0,0.9)}, color='blue',\n", " nb_values=15), aspect_ratio=1, viewer=viewer3D, figsize=7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The expression of the metric tensor in terms of coordinates $(R,\\varphi)$:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = 4/(R^4 - 2*R^2 + 1) dR*dR + 4*R^2/(R^4 - 2*R^2 + 1) dph*dph" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display(X_Pdisk.frame(), X_Pdisk)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We may factorize each metric component:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = 4/((R + 1)^2*(R - 1)^2) dR*dR + 4*R^2/((R + 1)^2*(R - 1)^2) dph*dph" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "for i in [1,2]:\n", " g[X_Pdisk.frame(), i, i, X_Pdisk].factor()\n", "g.display(X_Pdisk.frame(), X_Pdisk)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cartesian coordinates on the PoincarÃ© disk\n", "\n", "Let us introduce Cartesian coordinates $(u,v)$ on the PoincarÃ© disk; since the latter has a unit radius, this amounts to define the following chart on $\\mathbb{H}^2$:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "chart (H2, (u, v))" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_Pdisk_cart. = H2.chart('u:(-1,1) v:(-1,1)')\n", "X_Pdisk_cart.add_restrictions(u^2+v^2 < 1)\n", "X_Pdisk_cart" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On $U$, the Cartesian coordinates $(u,v)$ are related to the polar coordinates $(R,\\varphi)$ by the standard formulas:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "coordinate change from chart (U, (R, ph)) to chart (U, (u, v))" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_Pdisk_cart = X_Pdisk.transition_map(X_Pdisk_cart, [R*cos(ph), R*sin(ph)])\n", "Pdisk_to_Pdisk_cart" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "u = R*cos(ph)\n", "v = R*sin(ph)" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_Pdisk_cart.display()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Check of the inverse coordinate transformation:\n", " R == R\n", " ph == arctan2(R*sin(ph), R*cos(ph))\n", " u == u\n", " v == v\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "R = sqrt(u^2 + v^2)\n", "ph = arctan2(v, u)" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_Pdisk_cart.set_inverse(sqrt(u^2+v^2), atan2(v, u)) \n", "Pdisk_to_Pdisk_cart.inverse().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The embedding of $\\mathbb{H}^2$ in $\\mathbb{R}^3$ associated with the PoincarÃ© disk model is naturally defined as" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Phi_2: H2 --> R3\n", " (u, v) |--> (X, Y, Z) = (u, v, 0)" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi2 = H2.diff_mapping(R3, {(X_Pdisk_cart, X3): [u, v, 0]},\n", " name='Phi_2', latex_name=r'\\Phi_2')\n", "Phi2.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us use it to draw the PoincarÃ© disk in $\\mathbb{R}^3$:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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YUkaHM2fOyH9LnkBBZB2HGYisiKJ2YVAJ+nCbALeJRx99dOnSpdZ3aLjxxhsXLFhw5syZ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\np0R0rEPCslE++Q+o9xnw6LqNY+UdM5cOg5k3zj4u0g6HM8mRGVCqDnq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uYZlj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\nrH5SXQU+x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"text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph_disk_uv = X_Pdisk_cart.plot(X3, mapping=Phi2, nb_values=15)\n", "show(graph_disk_uv, viewer=viewer3D, figsize=7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On $U$, the change of coordinates $(r,\\varphi) \\rightarrow (u,v)$ is obtained by combining the changes $(r,\\varphi) \\rightarrow (R,\\varphi)$ and $(R,\\varphi) \\rightarrow (u,v)$:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "coordinate change from chart (U, (r, ph)) to chart (U, (u, v))" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_Pdisk_cart = Pdisk_to_Pdisk_cart * pol_to_Pdisk\n", "pol_to_Pdisk_cart" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "u = r*cos(ph)/(sqrt(r^2 + 1) + 1)\n", "v = r*sin(ph)/(sqrt(r^2 + 1) + 1)" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pol_to_Pdisk_cart.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Still on $U$, the change of coordinates $(X,Y) \\rightarrow (u,v)$ is obtained by combining the changes $(X,Y) \\rightarrow (r,\\varphi)$ with $(r,\\varphi) \\rightarrow (u,v)$:" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "coordinate change from chart (U, (X, Y)) to chart (U, (u, v))" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hyp_to_Pdisk_cart_U = pol_to_Pdisk_cart * pol_to_hyp.inverse()\n", "hyp_to_Pdisk_cart_U" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "u = X/(sqrt(X^2 + Y^2 + 1) + 1)\n", "v = Y/(sqrt(X^2 + Y^2 + 1) + 1)" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hyp_to_Pdisk_cart_U.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use the above expression to extend the change of coordinates $(X,Y) \\rightarrow (u,v)$ from $U$ to the whole manifold $\\mathbb{H}^2$:" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "coordinate change from chart (H2, (X, Y)) to chart (H2, (u, v))" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hyp_to_Pdisk_cart = X_hyp.transition_map(X_Pdisk_cart, hyp_to_Pdisk_cart_U(X,Y))\n", "hyp_to_Pdisk_cart" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "u = X/(sqrt(X^2 + Y^2 + 1) + 1)\n", "v = Y/(sqrt(X^2 + Y^2 + 1) + 1)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hyp_to_Pdisk_cart.display()" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Check of the inverse coordinate transformation:\n", " X == X\n", " Y == Y\n", " u == -2*u*abs(u^2 + v^2 - 1)/(u^4 + 2*u^2*v^2 + v^4 + (u^2 + v^2 - 1)*abs(u^2 + v^2 - 1) - 1)\n", " v == -2*v*abs(u^2 + v^2 - 1)/(u^4 + 2*u^2*v^2 + v^4 + (u^2 + v^2 - 1)*abs(u^2 + v^2 - 1) - 1)\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "X = -2*u/(u^2 + v^2 - 1)\n", "Y = -2*v/(u^2 + v^2 - 1)" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hyp_to_Pdisk_cart.set_inverse(2*u/(1-u^2-v^2), 2*v/(1-u^2-v^2))\n", "hyp_to_Pdisk_cart.inverse().display()" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ynsrKSsDfBf7ggw9OmDAh9Ft0dVFTwyc+8Uu4MhI53diY8/FUAUWjW2GS63ZF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\n6Sdms1lXj0opzedzqxLwPYkGGL6c88XFR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"text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph_Pdisk = X_pol.plot(X3, mapping=Phi2.restrict(U), ranges={r: (0, 20)}, nb_values=15, \n", " label_axes=False)\n", "show(graph_hyp + graph_Pdisk, aspect_ratio=1, viewer=viewer3D, figsize=7)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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qSun9PH4ck1azZnh948aMPfkkJitbry+LvDzGfv0VwicqCpMSEWNNmjA2axZj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AEDUNo+Zw40P7duofKJ8qhkcvjvv/id9DvDh8OB2d8fEZ3Zs3HDSL0YpOdA5fVyzz0iApEINaHX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t2RKMNjERK6l9+7DNhg1gvtHR8PFyPPKI8c3B0a+fUBzOFPbuFUTWSsATNgYEaFeg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"text/plain": [ "Graphics object consisting of 30 graphics primitives" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_pol.plot(X_Pdisk_cart, ranges={r: (0, 20)}, nb_values=15)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Metric tensor in PoincarÃ© disk coordinates $(u,v)$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From now on, we are using the PoincarÃ© disk chart $(\\mathbb{H}^2,(u,v))$ as the default one on $\\mathbb{H}^2$:" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": true }, "outputs": [], "source": [ "H2.set_default_chart(X_Pdisk_cart)\n", "H2.set_default_frame(X_Pdisk_cart.frame())" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = (u^4 + v^4 + 2*(u^2 + 1)*v^2 - 2*u^2 + 1)/(u^4 + v^4 + 2*(u^2 + 1)*v^2 + 2*u^2 + 1) dX*dX - 4*u*v/(u^4 + v^4 + 2*(u^2 + 1)*v^2 + 2*u^2 + 1) dX*dY - 4*u*v/(u^4 + v^4 + 2*(u^2 + 1)*v^2 + 2*u^2 + 1) dY*dX + (u^4 + v^4 + 2*(u^2 - 1)*v^2 + 2*u^2 + 1)/(u^4 + v^4 + 2*(u^2 + 1)*v^2 + 2*u^2 + 1) dY*dY" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display(X_hyp.frame())" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = 4/(u^4 + v^4 + 2*(u^2 - 1)*v^2 - 2*u^2 + 1) du*du + 4/(u^4 + v^4 + 2*(u^2 - 1)*v^2 - 2*u^2 + 1) dv*dv" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display()" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = 4/(u^2 + v^2 - 1)^2 du*du + 4/(u^2 + v^2 - 1)^2 dv*dv" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g[1,1].factor() ; g[2,2].factor()\n", "g.display()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Hemispherical model\n", "\n", "The **hemispherical model of $\\mathbb{H}^2$** is obtained by the inverse stereographic projection from the point $S = (0,0,-1)$ of the PoincarÃ© disk to the unit sphere $X^2+Y^2+Z^2=1$. This induces a spherical coordinate chart on $U$:" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "chart (U, (th, ph))" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_spher. = U.chart(r'th:(0,pi/2):\\theta ph:(0,2*pi):\\varphi')\n", "X_spher" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the stereographic projection from $S$, we obtain that\n", "\$$\n", "\\sin\\theta = \\frac{2R}{1+R^2}\n", "\$$\n", "Hence the transition map:" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "coordinate change from chart (U, (R, ph)) to chart (U, (th, ph))" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_spher = X_Pdisk.transition_map(X_spher, [arcsin(2*R/(1+R^2)), ph])\n", "Pdisk_to_spher" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "th = arcsin(2*R/(R^2 + 1))\n", "ph = ph" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_spher.display()" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Check of the inverse coordinate transformation:\n", " R == R\n", " ph == ph\n", " th == th\n", " ph == ph\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "R = sin(th)/(cos(th) + 1)\n", "ph = ph" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_spher.set_inverse(sin(th)/(1+cos(th)), ph)\n", "Pdisk_to_spher.inverse().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the spherical coordinates $(\\theta,\\varphi)$, the metric takes the following form:" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = cos(th)^(-2) dth*dth + sin(th)^2/cos(th)^2 dph*dph" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display(X_spher.frame(), X_spher)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The embedding of $\\mathbb{H}^2$ in $\\mathbb{R}^3$ associated with the hemispherical model is naturally:" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Phi_3: H2 --> R3\n", "on U: (R, ph) |--> (X, Y, Z) = (2*R*cos(ph)/(R^2 + 1), 2*R*sin(ph)/(R^2 + 1), -(R^2 - 1)/(R^2 + 1))\n", "on U: (th, ph) |--> (X, Y, Z) = (cos(ph)*sin(th), sin(ph)*sin(th), cos(th))" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi3 = H2.diff_mapping(R3, {(X_spher, X3): [sin(th)*cos(ph), sin(th)*sin(ph), cos(th)]},\n", " name='Phi_3', latex_name=r'\\Phi_3')\n", "Phi3.display()" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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+UFNTA3i7wB966KFJkyYFfoueHurr+cxnfgVXhkInm5vzPp7Kp0hkK0xxnJ5Q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\n3yuN13+0+9nvPxwNa3WnJmb0+mlNTOvuL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"text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph_spher = X_pol.plot(X3, mapping=Phi3, ranges={r: (0, 20)}, nb_values=15, color='orange', \n", " label_axes=False)\n", "show(graph_hyp + graph_Pdisk + graph_spher, aspect_ratio=1, viewer=viewer3D, figsize=7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PoincarÃ© half-plane model\n", "\n", "The **PoincarÃ© half-plane model of $\\mathbb{H}^2$** is obtained by stereographic projection from the point $W=(-1,0,0)$ of the hemispherical model to the plane $X=1$. This induces a new coordinate chart on $\\mathbb{H}^2$ by setting $(x,y)=(Y,Z)$ in the plane $X=1$:" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "chart (H2, (x, y))" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_hplane. = H2.chart('x y:(0,+oo)')\n", "X_hplane" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The coordinate transformation $(\\theta,\\varphi)\\rightarrow (x,y)$ is easily deduced from the stereographic projection from the point $W$:" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "coordinate change from chart (U, (th, ph)) to chart (U, (x, y))" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "spher_to_hplane = X_spher.transition_map(X_hplane, [2*sin(th)*sin(ph)/(1+sin(th)*cos(ph)),\n", " 2*cos(th)/(1+sin(th)*cos(ph))])\n", "spher_to_hplane" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "x = 2*sin(ph)*sin(th)/(cos(ph)*sin(th) + 1)\n", "y = 2*cos(th)/(cos(ph)*sin(th) + 1)" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" } ], "source": [ "spher_to_hplane.display()" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "coordinate change from chart (U, (R, ph)) to chart (U, (x, y))" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_hplane = spher_to_hplane * Pdisk_to_spher\n", "Pdisk_to_hplane" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "x = 4*R*sin(ph)/(R^2 + 2*R*cos(ph) + 1)\n", "y = -2*(R^2 - 1)/(R^2 + 2*R*cos(ph) + 1)" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_to_hplane.display()" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "coordinate change from chart (U, (u, v)) to chart (U, (x, y))" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_cart_to_hplane_U = Pdisk_to_hplane * Pdisk_to_Pdisk_cart.inverse()\n", "Pdisk_cart_to_hplane_U" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "x = 4*v/(u^2 + v^2 + 2*u + 1)\n", "y = -2*(u^2 + v^2 - 1)/(u^2 + v^2 + 2*u + 1)" ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_cart_to_hplane_U.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us use the above formula to define the transition map $(u,v)\\rightarrow (x,y)$ on the whole manifold $\\mathbb{H}^2$ (and not only on $U$):" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "coordinate change from chart (H2, (u, v)) to chart (H2, (x, y))" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_cart_to_hplane = X_Pdisk_cart.transition_map(X_hplane, Pdisk_cart_to_hplane_U(u,v))\n", "Pdisk_cart_to_hplane" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "x = 4*v/(u^2 + v^2 + 2*u + 1)\n", "y = -2*(u^2 + v^2 - 1)/(u^2 + v^2 + 2*u + 1)" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_cart_to_hplane.display()" ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Check of the inverse coordinate transformation:\n", " u == u\n", " v == v\n", " x == x\n", " y == y\n" ] }, { "data": { "text/html": [ "" ], "text/plain": [ "u = -(x^2 + y^2 - 4)/(x^2 + (y + 2)^2)\n", "v = 4*x/(x^2 + (y + 2)^2)" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Pdisk_cart_to_hplane.set_inverse((4-x^2-y^2)/(x^2+(2+y)^2), 4*x/(x^2+(2+y)^2))\n", "Pdisk_cart_to_hplane.inverse().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the coordinates $(x,y)$ correspond to $(Y,Z)$ in the plane $X=1$, the embedding of $\\mathbb{H}^2$ in $\\mathbb{R}^3$ naturally associated with the PoincarÃ© half-plane model is" ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "Phi_4: H2 --> R3\n", " (u, v) |--> (X, Y, Z) = (1, 4*v/(u^2 + v^2 + 2*u + 1), -2*(u^2 + v^2 - 1)/(u^2 + v^2 + 2*u + 1))\n", " (x, y) |--> (X, Y, Z) = (1, x, y)" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi4 = H2.diff_mapping(R3, {(X_hplane, X3): [1, x, y]},\n", " name='Phi_4', latex_name=r'\\Phi_4')\n", "Phi4.display()" ] }, { "cell_type": "code", "execution_count": 74, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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66PWkpCCVaoBc3syyDWbzc7t3O+3RWY5TSoTZcTBv2jRNTMxHhYV+UqkvUeO/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\nVXZ7+uHDLtPJPWXozJlbV6ywOLUaBHB+06YdK1cyQK3AvW6zScVilJQ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uGg3POUxVUADg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Y4WcwLmbb3xYIlxkOaoSdnUqREeHd8+MXcHcBe69HJ5OqIuWnqq4EhCUSSqqhBZhchmBAzR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\nRFGHfVcUKgxY1CscDofNZmMdi4iiSGNjI6eJUqgwYFFvyc/Pz8vLY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"text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph_hplane = X_pol.plot(X3, mapping=Phi4.restrict(U), ranges={r: (0, 1.5)}, nb_values=15, \n", " color='brown', label_axes=False)\n", "show(graph_hyp + graph_Pdisk + graph_spher + graph_hplane, aspect_ratio=1, viewer=viewer3D,\n", " figsize=8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us draw the grid of the hyperboloidal coordinates $(r,\\varphi)$ in terms of the half-plane coordinates $(x,y)$:" ] }, { "cell_type": "code", "execution_count": 75, "metadata": { "collapsed": true }, "outputs": [], "source": [ "pol_to_hplane = Pdisk_to_hplane * pol_to_Pdisk" ] }, { "cell_type": "code", "execution_count": 76, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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gIiKTVVtaioIzZ5B/6hQKGsrC1ZUYtm3aQBUeDr9Ro6AKD4dTSIhucLUqLw8ZO3ZArlTy\nhCUGwtzBAa5dusC1S5fr7r+6Iufq8fOVPXtwYcUKAPXLqJw7doRzp05QhYXBuVMn2Hh762VRbPIR\nffrWrcg9ehT58fEovnBB14wd2rWDKjQUQePGQdWpExyCgjibYISKLlyAR8+e191n4egIr+hoeEVH\nA6gfRSlLS0NBfLyuUKRu3gxJrYbCwgJOHTrApXNnXaGw9vTUy/8UREREd0KrVqP40qX698OGslCa\nnAygftmRKjQUQQ8/DFV4OFRhYbB0dm70sSwbTsNedP482gwZ0lp/BGoBZjY2cIuIgFtEhO6+2pIS\nFJ47pysUabGxSPjhBwANKzs6dYJLly5wi4yEe2SkqOjXafKypZ87dYKtry9cunSBqlMnOIeGwikk\nxCg3gtD11JWV+CUqCj3efReB999/a7+3urq+ZcfH10/LnjqFisxMAIClSqUrE6qwMKjCwmBmY9MS\nfwQik8ZlS0QtqzI7W1cS8k+dQuG5c9BUV0OmUMAxOBguYWH173Xh4bD387vl5Sm7pk6FwsIC/b/6\nqoX+BKRPqvLzUXjunG51T/6JE6gtLcX4s2dFRwNwCzMP9+7aBWt395bMQnqqLD0dMpkMDkFBt/x7\nlZaWcO3aFa5du+ruq8rPR0F8vO5F9uzSpVBXVECmVMK1a1d49e0Lz7594RgczJkJIiLSO+rqauQe\nPYqsffuQtW9f/R5P1J+t0KVzZ4RPn16/9KRjx2Y5O6RTcDDSt2+/48chw2Dl4gLvfv3g3a8fgPrT\n8hdfvCg41d/06joPpL+0ajUgk7XIeYy1Gg1KU1KQe+QIMvftQ86RI9BUVcHK1RWeDUXCs1cvbsIm\nuk2ceSC6M5IkoSw9HVl79yJz3z7kxsVBU10Naw8PePbpA88+feDarRusXF1b5OdfXLUKx+fOxUPH\nj5vU9QRIP7E8kN7R1NYi7/hxZO7di6x9+1CSmAiZXA5VeDg8+/aFV3Q0nDt2NJizEhCJxvJAdOvU\nlZXIOXKk/r1o/36UX74MuVIJ14iI+hny6Gg4BAa2ygx5aUoK8o4fh9/dd3NfKQnH8kB6ryIzE1n7\n99dPDx88CHVFBSycnetHe/r2hWfv3jfdbEZk6lgeiP6bJEkoSUpC1r59yNy7F3nHjkFbVwcbHx/d\nclr3qCjuzSOTx/JABkVbV4f8U6eQuW8fsvbuRdH584BMBudOnXQv7qrwcE7rEl2D5YHoxurKy5F9\n8GD9e8q+fajMzobCwgJuUVG69xS7tm25/47oGiwPZNCq8vKQtX8/MvftQ/b+/agtLYW5vT08eveG\nV3Q0fAYNgrm9veiYREKxPBD9rTQ1FZe3b0fWvn3IO3kSkloNe39/3R47t4gInkmS6CZYHshoaDUa\nFJ45o9srUXDmDORmZvDu1w9+o0fDq18/KCwsRMckanVXy8OQvn1h5eSEmJgYxMTEiI5F1Gqq8vKQ\ntnkzUjdtQuHZs1BaWcG9Z0/d7IKtj4/oiEQGg+WBjFZlbq7uzaLo3DmY2dmhzdCh8Bs1Cm6RkVza\nRCaDMw9kiurKy3F5+3akbtqEnMOHIVMo4NWvH/xGjYJX//6cXSC6TSwPZBJKkpKQumkT0jZvRvnl\ny7Byc0PbkSPhN3o0nEJCuJ6VjBrLA5kKTW0tMvfuRerGjbiyeze0dXVwi4iA3+jR8B06lKf8JmoG\nLA90U4Vnz+Lkp5+i10cftdj5q1uTJEkoiI9H6saNSIuNRU1hIewDAuA3ahT8Ro2CbZs2oiMSNTuW\nBzJmklaL3GPHkLpxI9K3bUNdaSkcg4PhN3o0/EaOhLWHh+iIREalyVeYJtNUmpKC7IMHobS2Fh2l\nWchkMrh07gyXzp3R7dVXkX3oEFI3bcK5b79F/JdfwqVLF/iNGgXfESN4+lciIj0lSRKKL1yoHwja\nsgWV2dmw8fZG+3Hj0HbUKDi2ayc6YrOrys9HzpEjaDNkCK/1QEKxPNBNVWZnw8ze3ijPay03M4NX\ndDS8oqOhrqxExp9/InXTJhybNw/H5s6FR+/e8Bs9Gm0GDTKa8kREZMgqMjORumkTUjduREliIiwc\nHeE7fDj8Ro+GS9euRr0EtfjiRRx45RWMiY3lLDkJxfJAN1WRlQUbE5jyVVpb65YuVRcVIT02Fmmb\nNuHga6/hiJUVfAYNgt/o0fDs1QtyMzPRcYmITEZNcTHSY2ORunEj8k6cgMLSEj6DBqHLSy/Bs3dv\nk3lNvrr8qiIri+WBhGJ5oJuqzM6Gtaen6BitytLJCe1jYtA+JgblGRn1Z2zauBF/bdoEK3d3tB83\nDoEPPghLJyfRUYmIjFZhQgIurliB1E2bIGm18OjdG73mzoXPoEFGORv+X64O5FVmZwtOQqaO5YFu\nqjI7G6rOnUXHEMbWxwednnwSHadORdH587i0ahXOfPMNTi9aBL/RoxE8cSKcgoNFxyQiMgpatRoZ\nu3bhwooVyDt2DNYeHgifPh0B994LS5VKdDyhlNbWMHdwYHkg4Vge6KYqsrLgO2KE6BjCyWQyOHfo\ngB7vvYfOL76IpHXrcHHVKiT/9hvcIiMR/Mgj8B4wgNeOICK6DTXFxUj69VdcXLUKlVlZcO3eHX0/\n+QQ+gwdDruShylU2np6oyMoSHYNMHP9HUqPUVVWoLSnhae7+wdLJCZ2mTkWHxx7D5Z07cWH5cux9\n7rn6M32MH4/AsWNhbm8vOiYRkd4rSUzEhZUrkbJhAySNBm1HjkTwxIlw7thRdDS9ZO3hwZkHEo7l\ngRqlVasR8thjcO7QQXQUvSQ3M0PbESPQdsQIFJw5gwsrV+LUp5/i9Fdfwf+ee9B+wgQ4BASIjklE\npFckrRaZe/bgwsqVyD5wAJYuLuj4xBNo99BDsHJxER1Pr1m6uKAoIUF0DDJxLA/UKHM7O3R75RXR\nMQyCKjQUvT/6CF1fegmXfvkFiWvW4NLq1fDs0wfBjzwCzz59IJPLRcckIhKmrrwcyevX48LKlShP\nT4dzaCh6zZsH32HDeN2CJjKztQWv7Uui8QrTRC1AU1uL9NhYXFixAoVnz8LOzw/tx49HwL33muRZ\nQkgsXmGaRCpLS8OFn39G8u+/Q1NTA9+hQ9F+4kS4dO5s1NdlIDJWLA9ELUiSJOSfOIELK1fi8vbt\nUFpZIWDsWASPH8/zdFOruVoehvTtCysnJ8TExCAmJkZ0LDJikiQh59AhnF++HJl79sDCwQHtHnoI\nQePGwdrdXXQ8IroDLA9EraQiKwuXVq9G4tq1qC0thc/AgQieOBFuUVEcfaMWxZkHai3qqiqk/PEH\nLq5YgZKkJDi2b4/gRx5B25EjobS0FB2PiJoBywNRK1NXVSF140ZcWLkSJZcuwbVbN4Q/9xzcIyNF\nRyMjxfJALU1TW4vEtWtxdskS1BQWwvvq4EhkJAdHiIwMywORIJIkIWvfPsR/+SUKz56FR69eCH/u\nObiEh4uORkaG5YFailatRsr/+384vWgRqnJy4Dd6NEKfeQZ2vr6ioxFRC+HZlogEkclk8IqOhmff\nvsjYuRPxX36JbTEx8B4wAOHTp8MpJER0RCKiG5K0WqRt2YLTCxeiLC0NviNGIOzZZ+EQGCg6GhG1\nMJYHalR1UREktRpWrq6ioxg1mUyGNkOGwHvgQKRv2YL4hQux5f774XvXXfVvxrxWBBHpCUmSkLFr\nF+K//BIlly7Bq39/9F2wAE68HhCRyWB5oEad+/ZbZO7Zg9F//CE6ikmQKxTwGz0avsOHI2XDBpz+\n+mtsvuce+I8Zg9BnnoGtj4/oiERkoiRJQtb+/Yj/4gvdMsse774Ll86dRUcjolbGq1ZRo9SVlVBa\nWYmOYXLkZmYIvP9+3L1lC7rNnInMffuwcdQoxL33Hipzc0XHIyITk3v0KHY8+ih2P/UU5GZmGPzD\nDxj07bcsDgJUFxRg9zPPoPDsWdFRyISxPFCj6ioqoLS2Fh3DZCnMzRE8YQLGxMYi/PnnkRYbiz9G\njMDxjz9GdWGh6HhEZOTy4+Oxa+pU7Hj0UairqjDgm28wdMUKuHPTvTgyGTL37EFFdrboJGTCWB6o\nUerKSpYHPaC0skLHyZNxz7Zt6DhlChLXrcOGYcNw6vPPUVtaKjoe6YG5c+dCLpfjxRdfFB2FjEDR\nhQv463//w7aYGFTl5CD6s88w4pdf4BUdzdOuCnb1PVldWSk4CZky7nmgRqkrK2Hp7Cw6BjUws7VF\n2LPPov348Uj4/nuc/+knXFy9Gh0eewzBEyfCzMZGdEQSIC4uDkuWLEF4eDgP7OiOlKak4PTChUiL\njYWtjw96zZ2LtiNHQq5QiI5GDRQWFpDJ5SwPJBRnHqhRnHnQTxaOjujy0ksYExsL/zFjcGbRImwY\nMQLnly2DurpadDxqReXl5Zg4cSK+/fZbODk5iY5DBqr8yhUcmj0bm8aMQd6JE4h6+22M/uMP+N99\nN4uDnpHJZFBaW7M8kFAsD9QobpjWb1auroh4/XXcvXkzfAYNwokFC/DHXXch6ddfIWm1ouNRK5g2\nbRpGjx6NQYMGgdf7pFtVU1yMox98gI0jRyJzzx50e+013L15M9o9+CDkZmai41EjlNbWqKuoEB2D\nTBiXLVGjJK0WMiWfIvrOxssLPd59Fx0nT0b8woU4/NZbSPrtN0S++SYvNGfEVq9ejZMnTyIuLg4A\nuGSJmkySJKSsX48TCxZAW1eH8OnT0X78eM40GwiZQsEBIhKKR4bUqL6ffgpzOzvRMaiJ7Nq2RZ+P\nP0bQQw8hbs4cxD70ENpPmIDw//2P+yGMzOXLl/H8889jx44dMDc3B1B/QPhfsw8RI0ZAaW4Ob29v\neHt7AwBiYmIQExPT4plJPxRfuoS4OXOQd+wY/EaPRteXX+aFQA2MpNFAzoE9Ekgmca6byOho6+pw\nfvlynP76a5jb2aHba6/Bd/hwjk4bifXr12Ps2LFQXLMeXaPRQCaTQaFQoKam5rp/69QjR+DfowdS\nDh+GH0+zaZLqKipwZtEinF++HHZt2iBi9mx49OwpOhbdhmPz5sE9Kgo+AweKjkImiuWByIhVZGbi\n2Lx5yNixAx69eyNy9mzYtW0rOhbdofLycqSnp+t+LUkSHn/8cXTo0AGvvfYaOnbseN33szyYLkmS\nkLFzJ4599BFqiooQ+vTTCHnsMSgaZqyIiG4V572IjJiNlxf6ff45ruzejaMffohN996LjlOmoNOU\nKVBYWIiOR7fJ1tb2XwXB2toazs7O/7qfTFd5RgaOfvghMv/6C179+yNi1izY+viIjkVEBo7lgcgE\neA8YAPcePXB2yRKcW7IEqX/8gYjZs+HVt6/oaNRMZDIZl6URAEBTW4uEH37A2cWLYeHkhOgvvoDP\noEF8fhBRs+CyJSITU5KcjKNz5iDnyBH4Dh+Obq+9Bmt3d9GxqAVx2ZLpyD50CEfffx9lly8jZNIk\nhD3zDM+iRETNitd5IDIxDgEBGPT99+g9bx5yjx7FxtGjcX7ZMmjVatHRiOg2VeXlYf+rr2LXE0/A\nwtkZd61bh64zZrA4EFGz47IlIhMkk8ngN3o0vPr1Q/yXX+L4//0fktevR+Rbb8G1a1fR8YioibQa\nDS6tXo34L76A3MwMPT/4AP733MMlSkTUYjjzQI1K37YN6Vu3io5BLcjc3h4Rb7yBEWvWQG5mhu0T\nJ+LwW2+hprhYdDQi+g8Fp09j67hxOPbRR2g7ciRGb9yIgHvvZXEgohbFmQdqVOrGjdDW1cF3+HDR\nUaiFOXfqhGGrViFp7Vqc/OwzZOzciS4zZtQfiMg5xkCkT2pLSnDq889x6Zdf4BQcjGE//wyX8HDR\nsagVSJIEdUUFFJaWvFAcCcOjAmqUXKnkOngTIlcoEDRuHEZv3AjPfv1w+M03sWPSJBRfuiQ6GhGh\n/sAx5Y8/sPHuu5GycSO6z5yJ4WvWsDiYkLrycqzt0QMZO3eKjkImjOWBGiVTKCCxPJgcKxcX9P7o\nIwz+4QfUlJQg9sEHcX7ZMkharehoRCarprgY+154AQdnzoR7VBTu3rQJwRMncvTZxEgaDYD692ci\nUVgeqFEypRLahhcqMj3uUVG469dfERQTg+Mff4zdTz+Nqrw80bGITE7O4cPYPHYscuLiEP355+gz\nfz6sXF2FYcj4AAAgAElEQVRFxyIBrq4GYHkgkVgeqFFyhYLLlkycwtwc3V97DQMWL0bR+fPYPHYs\nrvz1l+hYRCZBU1uLk59+ip1PPAH7tm0x8vff0WbIENGxSKCrqwE440QisTxQo5RWVtBUVYmOQXrA\nq29fjPz9d6jCwvDXs88i7v33oa6uFh2LyGiVpqVh+8SJSPjxR3R54QUM/PZbXsyRUFdZCQC8fgcJ\nxfJAjbJwckJNUZHoGKQnLFUq9F+4EBFvvIHk337D1ocfRvHFi6Jj0S2YOmMGxowZg1WrVomOQo2Q\nJAlJv/2G2PvvR115OYatXImOU6ZAzmUqBKC24TTaFg4OgpOQKeO8FzXK2tMTFk5OomOQHpHJZGg/\nfjzcIiOx/5VXEPvww+g6YwbaT5jAc8sbgKULFsAvKkp0DGpEbUkJDr/zDi5v24aAsWPRfeZMmNnY\niI5FeuTqNXj43kwisTxQowLvuw+B990nOgbpIcegIIxYswYnPvkExz76CJn79qHn++/DysVFdDQi\ng5QTF4eDM2eirrISfT/5hNfXoRu6uhrAnDMPJBCXLRHRbVFYWCDi9dcx4JtvUHTuHLaMHYsre/aI\njkVkULR1dTj1+efY+fjjsG3TBiN/+43FgRrlGR2NAYsXc8M0CcXyQER3xCs6Gnf99hucOnbEX888\ng6MffQRNTY3oWER6rywtDdsfeQTnvv8enZ97DoO++w42np6iY5Ees3Zzg1ffvqJjkIljeSCiO2bl\n4oIBixah++uvI/GXX7B13DhemZqoEZIkIXn9emx54AHUFBdj6PLl6PTkk9wUTUQGgeWBiJqFTCZD\n8MSJGLFmDSStFlsffhgXVq6EJEmioxHpjdrSUux/5RUceuMN+A4bhrt+/RUu4eGiYxERNRnLAxE1\nK8f27TF8zRoE3n8/jn34If6aNg3VhYWiYxEJl3vsGDaPHYusffvQZ/589PzgA55NiYgMDssDETU7\npaUlIt54A/0XLkRBfDw233svMvftEx2LSAitWo34L7/Ezsceg42nJ0b+9hva3nWX6FhERLeF5YGI\nWoz3gAEY+fvvcAoJwe6nnsKxefOgrasTHYuo1VRkZmL7pEk4u3QpwqZNw+Aff4SNl5foWEREt43n\n+qKbinvvPUAmQ+Sbb4qOQgbKytUVA775BhdWrMDJBQtQlJCA6M8+g4Wjo+hoRC0q99gx7H3hBSit\nrDB0+XK4dO4sOhIR0R3jzAPdVE1pKUqTk0XHIAMnk8sRMmkSBn33HUoSE7F13DiUJCWJjkXUYpJ/\n/x27Jk+GQ2Aghq9Zw+JAd6yuogLnly9HRVaW6Chk4lge6KYsHB1RU1wsOgYZCbeICAxfvRoKCwts\nGz8emXv3io5E1Ky0Gg1OzJ+PQ7Nnw//eezFwyRJYOjmJjkVGoCo3F8fnzkXFlSuio5CJY3mgm7JU\nqVCVlyc6BhkRWx8fDFu5Eq7du+OvZ5/F+eXLeTpXMgp15eXYM306zi9bhm4zZyLqnXegMDcXHYuM\nxNX3YkuVSnASMnUsD3RTtm3aoKaoCHUVFaKjkBExs7VFvy+/RMijj+L43Lk48vbb0NTWio5l9KbO\nmIExY8Zg1apVoqMYnfLLl7FtwgTkHTuG/l9/jZBHHoFMJhMdi4xIeUYGIJNxwz0Jxw3TdFO2Pj4A\n6t8YnUJCBKchYyJXKND15ZfhEBiII++8g7L0dPT99FMu8WhBSxcsgF9UlOgYRif36FHsff55mNnZ\nYdjPP8MhMFB0JDJC5Zcvw9rdHQoLC9FRyMRx5oFuyq5NGwANIx5ELSDgvvsw6PvvUZKYiG0xMShJ\nTBQdiajJkn79FbueeAIOQUEYvno1iwO1mPLLl3UDekQisTzQTVk4O0NpZcXyQC3KrXt3DF+zBgpL\nS2ybMIEbqUnvaTUaHP/4Yxx+6y0EjB2LQUuX8vTD1KLKMzJg2zCgRyQSywPdlEwmQ9eXX4Zrt26i\no5CRs/X2xrCVK+EWEVG/kXrZMm6kJr1UW1aGv6ZNw4Xly9F91ixEvvUW5GZmomORkePMA+kL7nmg\n/xQ0bpzoCGQizGxsEP3FFzj12Wc4/vHHKElKQsTs2TxjDemNsvR0/DVtGqry8jDgm2/g2aeP6Ehk\nAjQ1NbBUqWDv7y86ChHLAxHpF7lCga4zZvy9kTotDX0/+4wbqUm4nLg47HvhBZjZ29dvjA4IEB2J\nTITCwgKjNmwQHYMIAJctEZGeCrj3Xgz+4QeUJCdj67hxKOZGahIoce1a7JoyBY7BwRi+ahWLAxGZ\nLJYHItJbrl27YsSaNTCztsa28eNx5a+/REciE6NVq3Fs7lwceecdBN5/PwYuXsyN0URk0lgeiEiv\n2Xh5YeiKFfDo0QN/TZuGhB9/5EZqahVXN0Zf/PlnRLzxBqK4MZqIiOWBiPSfmY0Noj//HB2feAIn\n/u//cPjNN3lFampRZenp2DZ+PPLj4zHgm2/Qfvx40ZGIiPQCN0wTkUGQyeXo8uKLcAgMxOG33kJl\nTg76ffEFlFZWoqORkSk6fx67pk6FuZ0dhv/8M89wQ0R0Dc48UJOUJCUh++BB0TGI4D9mDAYuXoz8\nEyew+5lnUFdRIToSGZGCM2ew8/HHYe3hgaErV7I4EBH9A8sDNcmlX35B3Jw5omMQAQDce/TAwCVL\nUJSQgD+ffBK1paWiI5ERyDt+HLueeAJ2/v4Y/N13PD0w6QXu8SJ9w/JATeIUEoKy9HSO8pLecO3W\nDYO++w6lycnY+cQTqCkuFh1J702dMQNjxozBqlWrREfROzmHD+PPJ5+EU0gIBi1dCnN7e9GRiAAA\nKevXY/3gwdznRXqD5YGaxDkkBJAkFF+4IDoKkY4qNBSDf/gBldnZ2PHYY6jKzxcdSa8tXbAAGzZs\nQExMjOgoeiVz717sfuYZuHTtigHffAMzGxvRkYh0is6fh9zcHApzc9FRiACwPFAT2QcGQq5Uouj8\nedFRiK7jFBKCIT/+iNriYux87DFU5uSIjkQG5PLOndjzv//Bo1cv9P/qK27AJ71TdP48nDt0EB2D\nSIflgZpEYW4Oh3btWB5ILzkEBmLIsmVQV1djx6OPovzKFdGRyACkbdmCfS++CJ/Bg9H300+hsLAQ\nHYnoOpIkoej8eTixPJAeYXmgJnPq0IHlgfSWXdu2GPrTTwCAHZMmoTQtTXAi0mfJ69fjwKuvou2o\nUej98cdcEkJ6qSIjA3Xl5XAKCREdhUiH5YGazCkkBMUXL0JbVyc6CtEN2Xh5YciyZVBaW2PHpEko\nSUwUHYn00KU1a3DojTcQMHYsen3wAeRKXvKI9NPVATuWB9InLA/UZE4dOsDC0RGVubmioxA1ytrd\nHUN+/BGWzs7Y8dhjKEpIEB2J9Mj5n35C3Hvvof3EiYh65x3I5HwbJP1VmJAAS5UKVq6uoqMQ6fBV\nk5rMtVs33Ld7N2y9vUVHIbopS5UKg3/4ATZeXtgxeTLy4+NFRyI9cHbJEhyfNw8dn3gC3WfOhEwm\nEx2J6Ka434H0EcsDNRnfaMmQWDg6YtB338EhIAC7pkxB7rFjoiORIJIk4dQXX+DU558jbNo0dH7x\nRb6ekUHoPH06wqZNEx2D6DosD0RktMzt7DBwyRKoOnXCn089hexDh0RHolYmSRJOzJ+Ps4sXo8uM\nGQh79lkWBzIYTh06wCU8XHQMouuwPBCRUTOzsUH/RYvg1r07dj/zDK7s2SM6ErUSSavF0fffx/kf\nf0T3WbPQcfJk0ZGIiAweywMRGT2lpSX6ffklvPr2xd7p03F5xw7RkaiFaTUaHH7rLVxaswZR776L\n4AkTREciIjIKLA9EZBIU5ubo+8kn8Bk6FPteegmpmzaJjkQtRFtXh4MzZyJlwwb0mjsX7R54QHQk\nIiKjwZNbE5HJkJuZofe8eThsbo4Dr70GSaOB/5gxomNRM9JqNNj/6qvI2LULfebPh++wYaIjEREZ\nFZYHui3qqiooLC258ZAMjlyhQM/334dMocCh2bNh4eQEr+ho0bFaxdQZM2Dl5ISYmBjExMSIjtPs\nJEnC0TlzkLFzJ6I/+ww+gwaJjkREZHS4bIluWU5cHNb27ImKzEzRUYhui0wuR9Tbb8MrOhp7X3zR\nZK4DsXTBAmzYsMEoiwMAnFm0CIlr1yLq3XdZHIiIWgjLA90yx6AgSGo1co8eFR2F6LbJlUr0mT8f\nTsHB+OvZZ1GaliY6Et2BxF9+wemFC9H5+ecReN99ouMQ3ZH4r75C6ubNomMQ3RDLA90yC0dHOLZv\njzxedIsMnNLKCv0XLoSFkxP+fPJJVOXliY5EtyFj1y7EzZmDoJgYdJw6VXQcojui1WhwYcUKlKen\ni45CdEMsD3RbXLt358wDGQULR0cMXLwY2tpa7H76adSVl4uORLcg7/hx7H/5ZfgMGYLur7/OfVhk\n8EouXkRdWRncIiJERyG6IZYHui1uEREoS0vjSC0ZBRsvLwxcvBjlV65gz/PPQ1NbKzoSNUFxYiL+\nmjYNqvBw9J47F3KFQnQkojuWe+wY5GZmUIWFiY5CdEMsD3Rb3Lp3BwDOPpDRcGzfHv2/+gp5x4/j\n0KxZkLRa0ZHoJiqzs7H7qadg7eGBfl98AYWFhehIRM0iNy4OqvBwPqdJb7E80G2xcnWFnZ8fywMZ\nFbeICPT5+GOkxcbi+McfQ5Ik0ZHoBmpLSvDnU08BMhkGLF4Mc3t70ZGImoUkScg9dkw3QEekj1ge\n6La5de+OvOPHRccgalZthg5F5OzZuLB8ORJ++EF0HPoHdXU1/po+HVV5eRi4ZAms3dxERyJqNqVJ\nSagpKoJbZKToKESNYnmg2xb69NMYzIMrMkJB48ah01NP4eSCBUjZsEF0nBtatGgROnfuDAcHBzg4\nOKB3796IjY0VHatFaTUaHHjtNRSePYsBixbBISBAdCSiZpW1fz/k5uZw7dJFdBSiRvEK03TbbLy8\nREcgajHh06ejOj8fh958ExbOzvDq21d0pOu0adMG8+bNQ1BQECRJwo8//ogxY8bgxIkT6NSpk+h4\nzU6SJBx9/31c+fNP9PviC7h07iw6ElGzc+rQAeHTp0NpbS06ClGjZBIX9RIR3ZBWrcae555D7pEj\nGPzDD3p/9hOVSoX58+fj8ccfv+7+1CNH4N+jB1IOH4ZfVJSgdHfm9KJFOP3VV+gxZw4Cx44VHYeI\nyGRx2RIRUSPkSiX6LlgAx+Bg7Nbjq1BrNBqsXr0aNTU1iI6OFh2n2SWuXYvTX32F8OeeY3EgIhKM\n5YGI6CZ0V6F2dNS7q1CfPn0atra2sLS0xJNPPolffvkF7dq1Ex2rWWXs2oW4995DUEwMOj35pOg4\nREQmj8uWiIiaoCIzE9smTIClSoUhy5bBzMZGdCTU1dXh8uXLKCkpwdq1a/HVV19h9+7d6Nat23Xf\nd3XZksrJCUpzc3h7e8Pb2xsAEBMTg5iYGBHx/1PeiRPY9cQT8OrXD30WLOBF4IiI9ADLAxFRExVf\nvIjtkyZBFRqK/l9/DYW5uehI1xk6dCj8/PywdOnS6+43xD0PJYmJ2P7II3Bs3x4DlyzhBbOIiPQE\nly1Rs9FqNKIjELUox/bt0e/LL5F77BgOvfGG3l1ETqPRQGsEV8auzMnBn1evHv3llywORER6hOWB\n7pgkSYh96CEkfP+96ChELc49MhK9585F2ubNQp/zr7/+Ovbu3YvU1FScPn0ar7/+Ovbs2YMJEyYI\ny9QcNLW12PviiwCAAd98w6tHExHpGZYHumMymQzWHh7I/Osv0VGIWoXv8OHo9OSTOPXZZ8g+dEhI\nhry8PEyaNAkhISEYMmQIjh07hq1bt2LQoEFC8jSX4x9/jKJz59D3009h7e4uOg5Ri6vMzcWxjz7S\nq5MxEN0MywM1C+/+/ZF/6hSqi4pERyFqFWH/+x/ce/bE/ldeQUVWVqv//G+//RYpKSmorq5GTk4O\ntm3bhsGDB7d6juaUsmEDLq1ahe6zZsElPFx0HKJWkbl7Ny7+/DPkZmaioxA1CcsDNQuv/v0BABk7\ndghOQtQ65AoFen/8MRQWFtj30kvQ1NaKjmTQis6fx5F334X/Pfeg3YMPio5D1GrSt2+Ha/fusHB0\nFB2FqElYHqhZWLm4wL1HD6Rt2SI6ClGrsXRyQvSnn6IoIQHH584VHcdg1ZaUYO8LL8Dezw+Rb70F\nmUwmOhJRq6jKz0fOoUPwGzlSdBSiJmN5oGbT9q67kHPkCNdtkklRhYUh4o03cGnNGiSvXy86jsGR\ntFoceP111JSUIPqzz6C0tBQdiajVpG/dCsjlaDNsmOgoRE3G8kDNps2QIZArFPUvhkQmJPCBBxAw\ndizi3nsPRQkJouMYlLNLlyLzr7/Qe9482LZpIzoOUatK37IFnr17c8kSGRSWB2o25g4O8OzbF1d4\n1iUyMTKZDBFvvAH7wEDseeEF1JaUiI5kELL270f8l18i9Nln4d2vn+g4RK2qIjMTeSdOoC2XLJGB\nYXmgZhX1zjvov3Ch6BhErU5paYnozz5DXVkZDsycCckILtbWksqvXMH+V16BZ9++CHvmGdFxiFpd\nWmwsFBYW8DHw0yuT6WF5oGZl5eoKhbm56BhEQth6e6P3vHnI3LsXZ775RnQcvaWpqcG+F1+Ema0t\nes+dC5mcb0Vkejz79EHEm2/CzMZGdBSiW6IUHYCIyJh4RUcj7Nlncfrrr6EKC4NXdLToSHrn6Acf\noPjSJQxbuZJrvclkOQUHwyk4WHQMolvG4R4iomYW+vTT8IqOxoFXX0V5RoboOHolcd06JP36KyLf\negvOHTuKjkNERLeI5YGIqJnJ5HL0njsX5g4O2Pvii1BXV4uOBACYOmMGxowZg1WrVgn5+QVnzuDo\nBx+g3YMPIvC++4RkICKiOyOTJEkSHYKIyBgVJSRg24QJaDtyJHrMmSPs4mepR47Av0cPpBw+DL+o\nKCEZqouKEPvgg7BUqTB0+XLujSIiMlCceSAiaiFOHTog8u23kfz770hat050HGG0Gg0OvPoqNFVV\niP70UxYHIiIDxvJALUarVqPgzBnRMYiECrjnHgQ9/DCOfvABCk6fFh1HiDNff42cQ4fQZ/582Hh5\niY5DRER3gOWBWkzSunXYNmECqvLzRUchEqrbzJlwCgnB3hdeQHVRkeg4rerK7t048803CJ8+HR69\neomOQyQUr/9CxoDlgVqM74gRkMnlSPl//090FCKhFObm6Pvpp9DU1ODAq6/CVLaaVWRm4sDMmfAe\nOBAdp0wRHYdIuB2PPoqEH38UHYPojrA8UIuxcHSE77BhSFy3zmQOlogaY+PpiV4ffYTsAweQuGaN\n6DgtTtJqcWj2bJjZ2KDXhx/yQnBk8goTEpB3/DjsfH1FRyEDpE/HUU1+NS9LS2vJHGSkAh94AOXp\n6cg9ckR0FCLhvKKj0e6hh3Bi/nyUpaeLjtOiLq1ejZzDh9Hz/fdhbm8vOg6RcElr18LK1RVe/fqJ\njkIG6PyyZaIj6DS5POyaMoVr1+mWuUVEwM7PD4kmfKYZomt1ffllWKhUODR7NrQajeg4LaI0LQ0n\nPvkEQePGcZ8DEQB1ZSVSN21CwH33Qa5Uio5DBiZj1y6cmD9fdAydJpcHTW0t9kyfrjcXOyLDIJPJ\n0O6BB3B5+3bUFBeLjkMknJmNDXq+/z7yjh3DheXLRcdpdlqNBodmzYKViwu6vPSS6DhEeiFt61bU\nVVQg8P77RUchA1OYkID9r76KNkOGiI6i0+Ty0H/hQhRfvIhDb7zBswXQLfG/5x5AkpC8fr3oKER6\nwT0yEsGPPIJTn3+OkqQk0XGa1flly5B/6hR6fvABzGxsRMch0gtJ69bBo1cv2Pr4iI5CBsbS2Rlt\n77oLvT76SHQUnSaXB1VoKHrPnYv02FjEf/VVS2YiI2Pp7Iz2EyfC3MFBdBQivdH5hRdg6+2Ng7Nm\nQatWi47TLIoTExH/xRcIefRRuHXvLjoOkV4oOH0a+SdPIujhh0VHIQNk7e6OnnPmQGllJTqKzi2d\n/qLN0KHo8tJLOLt4MZJ5+k26Bd1eeQWB990nOgaR3lBaWqLnhx+i6Nw5nPvuO9Fx7pi2rg6HZs2C\nbZs26Pzcc6LjEOmNnMOHYevrC++BA0VHIWoWt3zuvA6TJyPw/vtx5K23kHvsWEtkIiIyCS7h4eg4\nZQrOfP01ihISRMe5I2eXLkXR+fPo9eGHUFhYiI5DpDc6TpmCu9atg1yhEB2FqFnccnmQyWSImD0b\n7caN47mKiYjuUOgzz8A+IAAHZ82Cpra2RX/W1BkzMGbMGKxatapZH7fw3DmcWbwYnaZOhSosrFkf\nm8gYcP8PGROZpE9XnSAiMkFFCQmIHTcOHSdPRufnn2/2x089cgT+PXog5fBh+EVFNetja2prEfvg\ng5ArlRi2ahUU5ubN+vhERKRfeLJhIiMmabWoKytDdVERaho+qgsLdZ/XFBXVf62wELWlpQAAmUIB\nmVx+w1t5I/frbhUKWDo5wdrDA1bu7rB2d4e1hwes3d31arOXvnHq0AFhzzyD0wsXwnvgQLiEh4uO\n1GSnFy5EWWoqRqxdy+JwE5IkobakBJXZ2ajMyan/yM5GVU4O6srLIWm10Go0kLRaSE29veZzuVIJ\nC0dHWDg7624tnZxgcc2HpbMzLJyc+H+RSA9l/PknNDU1aDtihOgo/4nlgchASZKEqrw8lCQmoiQx\nEWVpaX+Xg+Ji1DTcSje4EJm5g0P9gUTDQYZTSIjubFi3dPDScKvVaCDV1UFbVYWytDRU5eT867oe\n5vb215eKa4rF1c/NbG1b5e9OH3WcMgUZf/6JQ7NmYcS6dVBaWoqO9J/yTp5EwvffI/y55+DYvr3o\nOMJIWi2qCwtRdU0pqPzH51U5OdDU1Oh+j0yhgJWrK6zc3WFuZ1dfvmUyyM3NGy/nN7iVN9xq6upQ\nW1yM6qIiFJ0/r3sNUFdV/SuvwtLy70Lh5AQLZ2dYubjAPiAADu3awSEwkMtsiFpR7tGj2D9jBrwH\nDIDv8OGQyWSiI90Uly2RMJJWC5n8lrfdmBxJklCdn4+SpCRdUShJTERxUhLqGmYLFBYWsGvbFpYq\n1b9HGq+ORjYcKJg7OLTKFU7V1dV/H0z94yDq6q+rCwqu+z1KGxtdkXAMCoIqPByqsDDYeHnp/Ytp\ncyhJSsKWBx5A0Lhx6P7aa832uC2xbEldVYUt998PcwcHDF2+3CSumqutq0PxpUsoOH0aBadPoywt\nTfecvvZ0u3Kl8l8l2crdHTZXy7OHByxVqlbZQKuurv73TGPDbOPVglFdVISq3FyUZ2QADYcE1p6e\ncGjXDo4NZcKhXTvYBwSwVBA1s8KEBOx87DE4h4ZiwKJFBjGDy/JArU6r0eDPqVPhPWAAQiZNEh1H\nr1QXFqLk0iUUJyZeVxZqS0oAAHJzc9j7+//9pt7wxm7j42OQZ/LQ1NaiKi/v+mKRnY2KrCwUJSSg\nIjMTAGCpUkEVFgZVeDhcwsPhHBoKczs7welbRsKPP+LE/PkY/MMPcI+MbJbHbInycPSjj5C0di3u\n+vVX2Pv7N8tj6hNJklCRmYmC+Pj6shAfj8KEBGiqqyFTKuHYvj0cAgL+nj1ruLVyd4els7NBDoyo\nq6pQmpLy9wBFw+tQRUaG7ntsvL11rztXX4fsAwMNYqaMSN+UpqVhxyOPwNrTE4O//95gynmzl4e0\n2Fhk7duHHu+9Z5AvntQ6Drz+OnIOH8aY2FiDaNktpSovDzlHjiA3Lg45cXEoS00FAMjNzOpLQsMb\n9NUPWx8fkxjhvaoqP1934HZ1tLeuvBwAYB8QAFVYGFzCw6EKD4djUBDkZmaCE985rUaDnY89hsrc\nXIz87bdmeTNp7vKQc/gwdk6ejG4zZyLkkUfu+PH0QW1pKQrOnLnu+XZ1ZszG27u+vDY835w6djSp\ng2V1ZSVKkpP/nvlsGNi4Wu7lSiVUYWFwi4yEe48ecOnc2aT3VeQeO4bsAwfQ6amnTPr9jW6uMicH\n2ydOhMLSEkN++gmWTk6iIzVZ85eHLVuw/5VX0H78eHR//XWTWGpAt640JQUb774bkbNnI2jcONFx\nWk1VXh5yjx7VFYbSlBQA9QfC7lFRcIuIgGNwMOx8fU2qJDSVpNWiNCVFd4CXf/o0ii9ehKRWQ2Fh\nAacOHXSzE6rwcINd7lSWno7NY8fCf8wYRL311h0/XnOWh7qKCmy+917YeHtj8PffG+QgkbauDsUX\nLyL/mlJampwMADCzs4MqNFQ306UKC4OVi4vgxPqprqICJUlJKDxzBjlxcciNi0NNUVF9mQgPr39N\ni4yES5cuJlW2dj7+OGpLSzFi3TqDfP2hlldTXIwdkyahrrISw1asgLWHh+hIt6RFli1dWrMGce+9\nh7Bp0xD27LPN/fBkJPa/8gryjh/H3Vu2GO3oTHVBQX1ZOHwYOXFxugMU+4CA+lG6yEi4RUby4OQO\nqKurUZSQoCsTBfHxqLhyBUD9cifXbt3QZsgQeA8YYFAbsi+tXo24OXMwYPFiePXte0eP1Zzl4fDb\nbyNt82aM/P132Pr43NFjtaay9HRc3r4dV3bvRuHZs9DU1ECmVMIpOLi+LDQUTns/P4MsRPpAkiSU\nJCbqBkdy4+JQU1wMuZkZXDp3hltUFNwjI+HSubPRXkgw99gx7Jg0CdGff442Q4aIjkN6Kvn333Hi\nk08w9KefDHLZZ4vteTizeDHiv/gCEW+8gfbjx7fEjyADV5KYiE333ouot99GuwcfFB2nWUhaLfJP\nnkT6tm3IPnAAJUlJAAA7P7/6otDw5mnl6io4qXGrLihAwenTyI+PR/bBgyiIj4fczAwevXvDd+hQ\neA8cCAtHR9Exb0qSJPw5dSrK0tMxasOGOxq5ba7ykHv0KHY8+igi334bQQ89dNuP01pKkpNxeds2\nXN6+HUXnz0NhaQnPPn3g1r07VOHhcOrQwaRGxFubpNXqysTVmYnakhLIzc3h0rkzvPv3R5thw2Dr\n7eIFQygAACAASURBVC06arPZNWUKqgsKcNevv7KE0k3VFBfr/ftQY1qsPEiShOMff4wLy5ej97x5\n8Bs1qiV+DBm4fTNmoOD0ady9aZPBrleXtFrknTiB9IaDlKqcHFi5usKrXz/dtL21u7vomCatIjMT\nl3fswOXt25F34gRkCgXco6LgO2wYfAYPhqWzs+iIN1SamorN99yDTk89dUezuM1RHrRqNWIffBAK\nKysMW7FCLw+MJElC8cWLuLx9Oy5v24aSpCQora3rD1KHDoVXdDSU1taiY5osSatF8cWLyDlyBNmH\nDiH74EFoa2vhHBoK3+HD4TtsmEHNZv1T3okT2D5xIvp+8gl8hw8XHYeoxbTo2ZYkrRaHZs9G6qZN\n6P/VV/CKjm6pH0UGqvjiRWy+7z70mDMHgWPHio7TZLrCsHVrfWHIzYWVmxvaDB0K3+HD4dq1q14e\nXFH9vpPLO3bg8rZtyD16FADgFhGBNkOHwmfIEFi7uQlOeL2Tn3yCCytWYNQff9z2CG1zlIeLP/+M\nox9+iOGrV0MVGnpbj9ESJElC0blzuvJelpYGMzs7eA8cCN+hQ+HZp4/RLpExdHUVFbiyezfSt21D\n1t690NTUwLlTp/oiMXy4wRWJP596CpVZWRi5fj1f/8motfipWrVqNfa+8AJcu3VDx8mTW/JHkYE6\n8NprcAwKQscpU0RHuSmtRoO848eRvnUrMnbsQFVeHqzc3eHbUBhcunThG4aBqS4sRMbOnbi8fTuy\nDx+GpNHAtUsXtBk2DG2GDIGNl5foiKirqMDG0aOhCg9Hv88/v63HuNPyUF34/9m767Co0reB49+h\nBBQQARFRUSkxsDFRDCzMtcBYu1axa63Vde1eXbvWRuzCAiXsxgQJUQSVkI6BmXn/YPXd/Vn0DMz5\nXBfXujDnOffMwJxzP3E/sZx2cqJSu3Y0WrAgVzHkJ5lUSrS/f9YIw6VLJL99S4nSpanQpg0VHR0x\nbtSo2K6jKq4ykpOJ8PHh9YULRPj6IklLy0ok2rXLSiQqVpR3iN8V7e/PRRcXmq5YQeVOneQdjkBQ\noAplnwepRFIka9ALCodMJlPoihRxgYEEubvz+uJF0qKj0S5X7vMIg2Ht2kLCUEyI4+MJv3KFN5cu\nEXntGtKMDAxq1aKioyMVHR3RqVRJbrG9OnuW69On02rbNkyaNs358XlMHm799huvL16ky9mzcpvi\nJZVIiP40PfDyZVLfv0fTwIAKbdtSqV07yjZoIFQoKyYykpOJ8PXNSiR8fJCkpaFvY0Plzp2p2r27\nQs4Tv7t4Me9u3KDTiRPC/Y6g2BM2iRMIvkKSns7rixcJcnMj6sEDtIyMMOvUiUrt22NQq5aQMBRz\nGUlJvL16lTeXLhHh5/e5F9TKxQUzJ6dC79WWyWR4Dh5MWmwsHY8ezfH5PyUPbZs3R0tfHxcXF1xc\nXLJ1bMyTJ1xwdqb+r79i3b9/bsLPk5QPHwg8cICQY8dIi4lBy9g4K3l3dMSwbl3hRq2Yy0xJIcLX\nl7Dz53l75QqIRFTq0AHLvn2zOm8UpONJJpORGhWlcNMeBfIV7uVFuSZNit2+J0LyIBD8S+Lr1wQd\nPkzI8eOkx8Vh3Lgxln37UqFVqyK7oFuQN59uXkJOniTC2xtNQ0Os+vXDsm/fQu0B/RgQwPlevagz\neTI2Q4bk6NjcjjzIpFIu9u+PJC2NDu7uhdqz//HFC178/Tdh586hUqIEVXv0wKxjRwxtbYXkXUml\nxcYScvw4Lw8fJjk8nNLW1lg6O1PZyanI7MwrUB5Bhw9ze8ECGs6dW+z2sxKSB4HSk2Zm8tbbm5eH\nDvHu+nU0dHWp0r07ln37olu5srzDEyiQ+JAQAvbuJfTkSRCJqNqtG9aDBqFrZlYo57+7aBEhJ07Q\n5dy5HJX7zW3yEHL8ODfnzKHt339TtkGD3IScIzKplAg/P178/Tfvb95E28QE6wEDMO/ZEw0dnQI/\nv6BokEmlRF67xks3NyK8vVHV0qJK585YOjtT2spK3uEJBJ8TB6sBA6g/c6bCjJDlFyF5ECitlA8f\nCD5yhOCjR0l59w4DW1ss+/alUocOQu13wXelxcby0s2NlwcPkhYbi6mDAzaDB2NUv36BXiTE8fGc\ndnLCxN6epkuWZPu43CQP4sREzjg5YdyoEc1WrMhtyNkiSU8n9NQpXuzZQ0JICGVq1sRm8GAqOjoK\n6xgE35UcGUnwkSMEHTlCWnQ0RnXrYtG3L5XatROqbAnkIsjdndvz52PVvz/1f/212CUOIOfkITMt\njdsLFlBz5MgiucOeoGhKfP2aZ9u3E3ryJCJ1dSo7OWHp7EwZGxt5hyYoYiTp6bw6e5YXf/9NfFAQ\nZWrUoNqgQVRq167AprkFHTnC7d9+w3HvXozq1cvWMblJHu4tXUrwkSN0Pnu2wPYpSYuJIfDQIV4e\nOkT6x49UaN2aaoMGYVSvXrG84AoKjjQjg3AvL14ePsz7mzfRMjKi2uDBWPbpI+ztISg0nz6frfr1\no/6sWcX2c0yuyUPax494Dh6MOD6eNrt2CQmE4LO02Nh8r+oSHxTE0+3bCTt7lhL6+lQbNAiLPn2E\n6RCCPJPJZEReu8aLv//m3fXraJcrlzXdplevfP/9kkmlXHB2RiaR0P7w4WwtGM5p8hAXFITHTz9R\ne/z4AimhHB8czIu//yb09GlEqqpU7d6dagMHolNI078ExVt8SAjPd+4k9PRpNHR0qPbzz1i6uAif\n9YIC9SlxsHRxocHs2cU2cQAFmLaUFhOD55AhiBMSaLN7tzDHXECEnx8+rq50On48X34fPj5/zpOt\nW3lz6RLaxsbYDB2Kec+ewtQkQYH4GBBAwJ49vDpzBhUNDcx79sR64MBcb/D2NZ9qyjecNw/Lvn1/\n+PicJA8ymQyvoUNJ+fCBTseP51tlKZlMxvtbt3i+ezeRvr5oGRlh1b8/Fr17K2TpTUHRl/T2Lc93\n7CD42DFUNTWx7t8f64ED8+X3TdFLjAsKV2ZqKme6dMG0ZUsazJlT7H835J48AKRGR+M1dCjixMSs\nBELofVJqkvR0TnfqhIGtLfZr1uS6nehHj3iyZQsR3t6UqliR6sOHU6VrV2HzKEGhSI2KIvDAAV66\nuZGRmEhFR0eqDRqEYe3a+dL+zTlzCPfyosu5cz+8GcpJ8vD6wgX8Jk/GYfNmytvb5zlOiVhMmIcH\nL/7+m7iAAEpbWVFt8GDMOnYU/hYFhSLlwwee79pF0OHDiEQiLJ2dqTZoUI6KDvxbelwcXiNG0HDu\nXAxtbfM5WkFRlRodjaaBQbFPHEBBkgfIetE9hwwhIylJSCAEhJw8yc1Zs2i7Zw9l69fP0bEf7t3j\nyaZNvLtxA92qVakxciRmHTsKCy8FcpGZkvJ5MXBiWBjlmjal/owZ6FlY5Knd1Ohozjg5YebkhN28\ned99bHaTh8yUFM506YK+jQ0tN2zIU3wymYzXFy7wYOVKUiIjMbG3x2bwYIwbNVKKi6tA8aTFxvJi\nzx4CDxxAlpmJea9eVB8+PMd7M9xdsoSQY8fo4uGBlqFhAUUrECguhUkeIKunznPoUDKSk2m7a5cw\n/1WJyaRSLvbrhzQjI9vzuhNeveLhqlWEe3lR2tqamqNGUaFtW2ETKYFCkEmlhHt68mDVKpIjIrB0\nccH2l1/Q0NPLdZsv9u7l/rJldHB3/+6C/+wmD4/WreP57t10PnWKUhUr5jqu2OfPubdkCVH37lGh\ndWtsJ0ygdB6TJYEgv4jj4wk4cICAPXuQZGRgM2QI1YcMydbC6riXL/Ho2ZPaEyZQfdiwQohWIFA8\nCpU8QFYCcX3mTBrOmyeMPii5z/O6f7DBStrHjzzZtImXbm5oGRlRZ+JEzDp1EjaSEigkiVhMwN69\nPNm8GVUNDWxdXTHv1StXI2PSjAw8evVCvVQpHPft+2aPfnaSh8SwMM5260b1YcOwdXXNcSyQtYbt\n0Z9/Enz0KHpVq1Jv5kxMmjbNVVsCQUETJyTwdOtWAvbto0Tp0tiOH0+Vbt2+2eFUUOuBBIKiRuGS\nB4Hg327OnUu4p+dX53VLxGIC9+/nyZYtIJNRY8QIrAYMEBZCC4qE1KgoHq1bR8jx45S2sqL+zJkY\nN2qU43be37qF59ChNFmyhCpdu371MdlJHq7+8gtxgYF0Pn0aNS2tHMUgEYsJPHCAJ5s2gYoKtuPG\nYdmnj7Aru6BISHr7lkdr1hDm4UFpKyvqTpv21aQ3v9cDCQRFldA1K1BotSdMQCaR4P/nn5+/J5PJ\nCPPw4Eznzjxcs4bKTk508fCg+vDhQuIgKDK0jIxo/McftD90CFUtLTyHDsV34kSSwsNz1I5xo0ZU\nat+eh2vXIklPz1Us72/fJsLbm3rTpuU4cYjw9cXjp594uGpV1t/iuXNY9+8vJA6CIqOUqSnNVq6k\n3cGDqGlrc2XECK6MHk1cUNDnx2SmpHB/+XJMHRyExEGJhZ46xYe7d+UdhtwJIw8Chffm8mV0zMwo\nbWlJtL8/95YuJebRI0wdHKgzeTJ65ubyDlEgyBOZTMars2d5uGoV6XFx2AweTPXhw1EvWTJbxye8\nesXZrl2pO20a1QYO/OLn3xt5kMlkXBowIGt9kZtbthczJ4SGcn/5ciJ8fDC2s6PezJnoW1tn61iB\nQFHJZDLeXLzIwzVrSH77FvOePbGdMIHAfft4tnMnTidPolOpkrzDFMhBwP793Fu8GKsBA2jw66/y\nDkeuhORBUCRkJCXxaN06Ag8eRN/amrrTplGucWN5hyUQ5KuM5GSe7djB8127KFG6NHUmT6Zy587Z\nuqG/OXcuEd7edD1//ouFn5+Sh7bNm6Olr4+LiwsuLi5A1sjB1dGjcdiyhfLNm//wPOLERJ5s2kTA\n/v1oGxtTb9o0KrRtK1RQEhQrErGYlwcP8njzZlRUVanQujU6ZmbCImklJJPJeLJ5M483bMBmyBDq\nTJmi9J93RS55yEhKQr1UKXmHIShEby5f5u7ixWQkJGDr6opV//5C2VVBsZYUHs6DlSt5c+kShnXq\nUH/mTAxq1fr+MW/fcqZTJ2xdXb/YFfpbIw8ymYzzffqgpqlJ2z17vntBlEokhBw7xqM//yQzNZWa\nI0dSbdAgVEuUyNuTFQgUWGpUFPeXLSPMwwPjxo2xmzdPqASpRGQyGfeXLydgz56sClsjRih94gBF\nbM1DXGAgJx0deXPpkrxDERSClHfv8HF1xXfCBPSrVcPp1CmqDRokJA6CYq9UhQrYr11Lm507yUxJ\n4YKzMzdnzyY1Kurbx5iaYt6rF8927ECcmJit84R7evLx2TNsx4//7gXxw717XOjbl9vz52PSrBld\nzp6lxsiRQuIgKPa0jIxotnIlDps3k/TmDed69ODp1q1IxGJ5hyYoYFKJhFvz5hGwZw8NZs+mxsiR\nQuLwjyKVPOhUrky5Zs3wmzyZkOPH5R2OoIBIJRIC9u3jTJcuxDx+TPPVq2n511+ULF9e3qEJBIXK\nuFEjOri703DePN5evcrpTp14sXcvMqn0q4+vMWoUkvR0Avbu/WHbUokE//XrKdekCcYNG371Melx\ncVybNo3LP/+MSFUVx/37abp0KdrGxnl6XgJBUVPe3h6nEyew6tcP/w0bON+7N1EPHsg7LEEBkWZk\ncG3qVEJPnqTJ0qVY9esn75AUSpFKHlQ1NGi6bBnmPXtyc84cXmTjAikoWuKCgrjYrx/3li6lSpcu\nOJ0+TaX27YVsX6C0VNTUsOzbly7nzlGlWzfuL13K1TFjSI2O/uKx2mXLYunszIu//yY9Lu677b4+\nf574oKBv7unw/vZtzv30E5F+fllVoQ4exKhOnXx5TgJBUaSmrU3dqVPp4OaGqqYmlwYM4M7vv5OR\nnCzv0AT5TKSmhraxMfZr11KlSxd5h6NwityaB8iag/Zw9Wqe79xJzV9+odYvvwg3l0WcTColYN8+\nHq5Zg07Fitj9/rtwoyIQfEWEry83Z88GoPGiRV+UjUyLieFU+/ZY9e9PnUmTgC/XPEgzMznbtSs6\nlSvjsHHjf46XZmTweONGnm7bRtkGDbJGGsqVK5wnJxAUEVKJhJeHDvFozRo0DQ1psnSpcM0SKI0i\nNfLwiUgkou6UKdSeOJEnGzdyf+nSbw7jCxRfyrt3eI0Ywf1ly7Ds25cO7u4//BD2/+svHq1bV0gR\nCgSKo7y9PR2PHUPfxoaro0dzb+nS/8y/1jQwwHrgQAL27//q6ARA6OnTJIaFfTHqkPTmDZd+/pln\nO3ZQe/x4Wu/YISQOAsFXqKiqYt2/Px2PHqWEvj6XBw7Ef/16pBkZ8g5NIChwRTJ5+KTGiBE0nDuX\ngP37CfPwkHc4glwI8/DgbI8eJISG0nr7durPnJmtRZiqGho827GD2OfPCyFKgUCxaBka4rBpE/Vm\nzODloUNccHYmPjj4889tBg9GRU2NZ9u3f3GsRCzmycaNVGzXjjI2Np+/H3rmDOd69iQtNhbHvXup\nMXIkKqqqhfJ8BAJFErB/PxF+ftl6rI6ZGY5791Lzl194um0bFwcMIOHVq4INUCCQsyKdPABYOjvj\nuHcvZh07yjsUQQ6IExK4PmMG16ZOxaRZMzodO0a5Jk2yfbzN4MHomZtza+5coadHoJREKipU+/ln\n2h08iFQs5nyfPgS5uyOTydDQ06PaoEG8dHMj5d27/xwXcuwYyZGR2I4dC2SVv77+66/cmDEDUwcH\nOh45gmHt2vJ4SgKB3H0MCODB8uVEP3yY7WNU1NSoNWYM7fbvJyMpCY+ePXnp5kYRnBUuEGRLkVzz\nICjaoh484Nq0aWQkJdFgzhwqOznlas1K7NOnXOjXjxojRmA7blwBRCoQKK4lS5Zw7NgxAgIC0NLU\nxKZMGbpkZmLXuTN28+ejoqbGqfbtqdi+PWU7dKBKo0YE+/jwaN48jBs1ounSpUT7+3N9+nTSYmJo\nOHcuVbp2lffTEgjkRiIWc6FvX2QyGR0OH0ZVQyPHbWSmpPBg5UpeurlRvmVLmixeTInSpQsgWkF+\nSAgLo5SpqVACPoeE5EFQaGQyGQF79vBg9WoMbW1pumxZnsuvPt64kSebN9Nu//4fbqIlEOSFNCMD\ncUIC4oQE0uPjEf/z9cW/ExI+/784Ph5pZiZq2tqfv9T/9e9vfe9//7+Enh7a5cohUvn/weKOHTvi\n4uJCw4YNycjIYNasWTy6c4clZmaU0tGh6bJlRPv782jdOuosWkT1Ll3wnj+ft0eP0unkScIvX8Z/\nwwbK2NjQdPlydCpV+u7zl4jFJL99S0ZyMpnJyWSkpJD5r6///f8vvpea+vm/6iVLoqGnl/Wlq0uJ\nT//W0/vy37q6aOjpoV6q1H+ev0CQ3x6uXcuLXbtof+gQ+v+a0pcbb729uTlrFqpaWjT/55onUCwR\nvr74TZ5MjREjqDFypLzDKVKE5EFQKDKSkrg5Zw5vLl3CZsgQak+YgIq6ep7blWZkcLF/fzJTU+ng\n7o6apmY+RCtQRjKZjLToaD6+eEFcQAAfX7wgISwMcVwc6fHxZH6jHKOqltZ/bnL/96ZXRU3t841z\ndm64JenpXz2PmpYWulWromdh8f9f5uaUNDFBpKJCdHQ0ZcuW5cKxY4iOHyfq/n2qDRlCyPHjaFWr\nhtP27exu0AALBwfSoqN5f+cO1YcNw3bcuP/8LUrEYhJCQ4kPCiI+ODjrKyiIpNevv1mYIieJkGqJ\nEmSmpGQlW/9OtP75d3p8PLLMzC/OIVJR+fyaahoYoGdpib61NaWtrSltaYl6yZK5eNcFgixRDx9y\neeBAao0bR81Ro/KlzeTISPymTOHj06fUmzkTS2dnoTKkggg+epTbCxZg0rw5zVeuRE1bW94hFSlC\n8iAocHGBgfhOnEhaTAyNFy2iYtu2+dp+fFAQHr17Y+XiQr3p0/O1bUHxJM3IID4kJCtJCAj4/N/0\n2FgA1EqWRN/KCl1zczTLlPlur3h+77Iszcz8IrlIi40lISQk64b+n5v6zJSUrFi1tNA1NydRX5++\nW7fiuXs3DVq14tWZMzzZtAntcuWIev2aEQEBbKteHT0dHdS0tGi0cCFaRkafk4OvJQlaZcuiZ26e\n9WVhgY6ZGRo6Ov8dOdHSytcRAZlM9v/JxTdGeFLevycuMJCE0FBkEgmIROhUqkRpa+vPCYW+tTXa\nJibCzZrghzJTUvDo1QsNPT0c9+7N1yksErGYB6tWEbhvH2adOmE3f76Q6MqRTCbj8YYNPNm8GYu+\nfWkwa5YwZSkXinXyIJNKuTVvHuWaNKGyk5O8w1FKISdOcGfhQnQqVaL52rXompkVyHlCz5yh9D89\nkQLBv6XHxf3/aMI/iUJ8UBDSf3q3S5qa/v8NZ7Vq6FtbU9LUVKGnyMhkMlIiIz/f8H98+ZJJu3eT\nkJjI3H+mH6lpaaFtYkJKZCQJSUlZyYO1NWXKlUNNS4vkt2+zbrwBLSOjzyMZnxIFPXNzNPT05Pk0\nf0iSnk58cHDW+/rixef3V5yQAICGrm7WyMQ/yYR+tWromZvne8InKNruLlpE8LFjdDxyBN0qVQrk\nHGEeHtyaNw/tcuWwX7sWPXPzAjmP4NskYjG3f/uN0FOnqDNpEjbDhgmdC7lUrJMHaUYGN+fN45Xw\ni1LopBkZ3Fu6lJeHDlG1Rw8azJkjTCkSFIrM1FTe377NW29vIn19SY6IAEC1RIn/THXRr1aN0lZW\naOjoyDnivBszZgwXLlzA18eH0ioqfAwMJNLXl6j790kICyMpJYURAQHoqqggUlXFSEeHChUqoKGn\nx4BBgxg4bJi8n0K++ZRY/XtEKS4ggMTXr0EmQ6SqSpnq1SnfogWmDg7o29gI1wUl99LNDUQiLPv0\nKdDzxIeE4DdxIskRETRZtoyKbdoU6PkE/0+cmIjfpEl8uHuXxosWCR3KeVSskwfIupD4r1/P0y1b\nsOzbl/rCEFWBE8fH4zdlCu/v3KHB7NkF/oEsECRHRhLh48Nbb2/e37yJJD2dUhUrUr5FCwzr1EG/\nWjV0zMyK5b4F48aN4/Tp01w8fRqN16+J8PEh0s8PcXw86qVKIZVISPz3yEPZsp/XFehWrUp5e3vK\nt2iBUb16uaouU1RkJCdnjdK8eMH7W7eIvHaNjKQktMqWpby9PaYODhg3aiRMKREUqMyUFG7MmsWb\ny5epM3Gi0KlZSOKDg7k6ZgyNFy3CuGFDeYdT5BX75OGToCNHuPP775S3t6fZihXC4pgCkhAWhvcv\nv5AeG4v92rUYN2ok75AExZBUIiHG35+33t5EeHsTFxiY1aNerx6mLVtSvmVLdKtUKdYXZalEwsiB\nAznj4cGS5s0pERoKMhn61atT3t4ebRMT/NetQ6SqSuz795/XPJRSV8fA1haLXr34cPcuET4+pEZF\noaatTbmmTbOSCXt7tI2N5f0UC5RELCbq/v3PSWfiq1eoqKtjbGdH+ZYtMW3ZklIVKsg7TEExJJNK\n8d+wgadbtlCla1fsFiwo1om7opBmZORLoRaBEiUP8P9luXSrVqXlX3+hZWgo75CKlXc3b+I3aRKa\nBga0+OuvAlvfIFBO4oQEIq9d+zwdKT0ujhKlS2PSogWmLVpg0qwZGrq68g6zQIkTEnh34wYRPj7M\n37UL3/fvmW5lRW17e8o1boyxnR0mFhZE+fpyfcYM9KtXJ/3jRxJTUuh/9So7bG2x6dyZt15eaBkZ\n4bB5M9omJsS9eEGEry8RPj5EP3qETCqltLU15Vu0oLy9PYa1axf7EduEsDAivL2J8PHhw507SDMz\n0TM3/zy9ybBOnWL/GggK16szZ7g5dy4GNWpgv24dmgYG8g5JIMgWpUoeAGKfP+fq6NGUNDGh3cGD\nxbpnsjC9PHyYu4sWYWxnR/NVq4r9TZygcGSmpfH6wgVCT5zgw717yCQSSltZYergQPkWLTCwtS2W\nU5H+LSM5mVdnzhB27hxRDx4gk0jQs7Cgy+nTiESiL3axXTx8OJWuX6dShw6YdeyI7/jxlG7WDKdt\n2/CcOZOPvr602rYN34kTkaSl4bBpE2WqV/98fHpcHJHXrxPh65uVpH38iLquLuWbNaPqTz9RrnFj\nhV5Mnh8ykpKyXgMfHyJ8fEiLiUFdV5cKDg5Y9O6NYd26wrVDkC+i/f3xGTcO1RIlaPnXX5S2spJ3\nSALBDyld8gCQHBFBWmwsBjVryjuUIk8mk+H/55883boVSxcX6s+cqVC9c8kREXneiE5Q+OJDQgg6\nfJjQkycRJyRg3KgRldq3p7y9vdK8n/FBQbx0cyPk5EkkqamYNG+elTR94zWQSiTcX76cwH37sBk6\nlDqTJuE1bFjWpmxVqtBm6VJC797lxuDBNJgzhwpt2uA9diwJwcE0W70a0xYtvtpm7NOnRPj68ubi\nReKDgtCpXBnLvn2p2r27UnQSyKRSYp48IcLbm1dnz5L05g16lpZY9O5Nla5di8WCe4F8JUdG4j12\nLMkREbRYv16Yky9QeEqZPAjyhzQzk9sLFhBy7Bh1p07FZsgQeYf0H7FPn3KxXz+ar11LhVat5B2O\n4AckYjFvLl8m6PBhPty5Qwl9fap2745F797oKMkUOGlGBuFeXrw8dIj3t2+jaWCAec+eWPTpQ0kT\nk28el5mayvUZM3h75UpWkQJnZ2KfPeN87940X72aoKtXabN0KVFv3/J8xQriAgJwOn0aaXp61nFX\nr9Jg7tzvFjeQyWRE3b9P4MGDvLl0CRU1NSo7OWHl4pLn3XiLCplUyrubNwk6fJhwLy9UNDQw69gR\nyz59KFOzpjAaoeA+7SGiiIviM5KT8Z0wgQ/37tFs+XIqOjrKO6QiJzMtjcSwMKFkeyEQkgdBrmSm\npnJt6lQi/PxovHAhVbp2lXdIX5DJZPiMG0fU/ft0cHcXFj8qqKQ3bwhydyf4+HHSY2Mp26ABFn36\nUNHRUWkWEaZ8+EDwkSMEubuT+uEDRvXqYensnK3XIC0mBu9x44h7+ZLmK1di6uAAwLXp04l+bckA\noQAAIABJREFU9IguZ89yde7crOQhPBxiYrjo4oL9n39SsU2brBGLZcsI3L+f6sOHU3vChB9OS0qN\niiL46FGC3N1JefcOwzp1sHR2plL79krznqVGRRF87FjWaxAZiX716lj27o2Zk5NC3pwKIMjdnafb\nttHh8GFKlC4t73C+IBGLuTlrFmHnz9NwzhwsnZ3lHVKRkfL+PT6urqTFxNDFw0NpPofkRUgeBDmW\nHheH99ixxAUE0HzNGsrb28s7pG8Sx8dzvm9f1EuVwnHfPmGvCQUhzcjgrbc3L93ceHf9Ouq6ulTt\n2hWLPn2UZvMkmUzGhzt3eHnoEG88PVFVV6dyly5Y9u2LfrVq2WojITSUq2PGkJmSQsuNGz9PxUyO\niOBUhw7UmzED6/798fr1188jD4bly3Np4EAAHPfu/RxLwJ493F+xArMOHWi8eHG2Lr7SzEzeXr1K\n4MGDvL95kxL6+pj37Ill375KM71MKpEQ6edH0OHDRPj4oKqlReXOnbHs0yfb76Og4MU8ecKlAQOo\n+tNP2M2bJ+9wvkkmlXJ/+XIC9u6l5pgx1Bo7VhjR+oFof398x49HpKpKi/Xr/7OGS1AwhOThKyRi\nsZC1fkNqVBRew4aRFhtLy40bMbS1lXdIP/Tx+XMu9u+PWadONFq4UPggliNxYiIB+/YR5OZGalQU\nhnXqYNG7N5U6dFCaxC4jKYnQU6d4eegQ8cHB6FatiqWzc47nz3+4dw8fV1c0DQxw2LyZUqamn392\nf/lygo8fp/vly6iXLPlF8hDu5YWPqyvtDhzAsHbtz8e9vnCB6zNnYmhri/26dTnqnY0PCeGlmxuh\nJ06QmZJC+RYtsHRxwaRp02K/wPqT5IgIgo8eJfjoUVKjojCoXRubwYOp2Lat0rwGiijt40fO9+6N\nlqEhbffsUfjru0wm4/nOnTxcvRqLvn1pOGeO8PvzDaFnznBr7lzKVK+O/dq1aBkZyTskpSAkD/8j\nLiiIq6NG0WjhQkyaNpV3OAolOTISz6FDkYrFtN6+Hd0qVeQdUraFnDjBzdmzsZs/H4veveUdjtLJ\nSE4m8MABnu/cSWZaGlV79FC6ntnkiAie7dhB6KlTSNLTqdCqFZYuLhg3apTjhPb1xYtcnzEDw9q1\nabFuHRp6ep9/Jk5M5ESbNlj160ediRMBvkgeZFIpZzp3prS1NfZr1vyn7agHD/AZN44SZcrQasuW\nHI8gZKak8OrMGQIPHiQuMJBSFSti1b8/ln36oFqiRI7aKqo+jawFHjjA+1u30K9WjVrjxmHq4CB0\nXhQyqUTC1dGj+fjsGR3c3YvUiFjwsWPcmjePqt26Yff778W+slxOyKRSHq1bx7Pt26nSrRt28+cr\nfFJYnAjJw/8QJyZybepU3t24Qb3p07Hq31/4sAeSwsPxHDoUgDY7dxbJ9QO3Fywg5PhxHPftEypt\nFZLMtDReHjrEsx07yEhIwLxXL2qMHFnsNyD7N3F8PE+3bSNg/37US5XCsk8fLHr3RrtcuVy19+bS\nJfymTKFSu3ZfnV70fNcuHq1dS7fLlz/3wv1v8gDw0s2Nu3/8QeezZ9GpVOk/bSSEhXFl5EhEIhFt\n//47V++XTCYj+uFDAg8e5PX582gbG2M7fjyVnZyUqhf1w927+K9fz4e7dzGoVYta48Zh0qyZcF0p\nJP7r1/NkyxZabd1aJDsEX505w41Zs6jUvj1NlixRqGqG8iIRi/GbNIkIHx/qTJlCtUGDhL+nQiYk\nD18hlUh4uHo1L3bvxrxnTxrMmaPUGW1CWBheQ4eioqFBm507v1v1RZFJxGI8hwyharduWHynqowg\n7yRiMUHu7jzbto202Fiqdu9OzdGji1SvX15J0tMJPHiQp1u2IM3IoNqQIdgMHpynxbRvfXzwdXWl\ngqMjTZct+6InUiIWc6pDB0yaNqXxH398/v7XkofM1FROOjpi1rEjDWbP/uJcyRERXBo4EDUtLdrs\n3p2nTTXjQ0J4tHYt4Z6e6NvYUHfKFMo1aZLr9ooamUzG+5s3ebR+PTGPHmFUrx62rq4Y29nJO7Ri\nLfzKFXzGjcN2/Hhqjhol73By7fXFi1ybNo0KrVrRdPlypb4fgay/p3uLF3/exFJQ+ITk4TtCTpzg\n9vz5GNjaYr92LZplysg7pEIXHxKC19ChqOvo0GbnziI/n1CamSn03BQgaUYGIceP82TLFlI/fKBy\n587UHDPmi57t4kwmlfLq3Dn8160j5f17zHv1otaYMXn+23l38yZXx4yhfPPmNF+9GhV19S8eE3r6\nNDdmzqTTyZOUtrD4/P2vJQ8A/n/9xfNdu+h++fJX1zckhoVxedAgSujr02bXrjxXqIm6f58Hq1YR\n/fAh5Zo2pe6UKUo1dU0mkxHh64v/+vV8fPYM40aNsHV1xahuXXmHViz5TpqELDMT+3XrivxoV/iV\nK/hNmkS5pk2xX7tW6RMIgXwJycMPRD14gO+ECaiWKEGL9euV6kL36cZBo3Rp2uzYgaaBgbxDEigo\naWYmr86c4fGmTSSHh1OpY0dq/fILelWryju0QvXuxg0erFrFx+fPqdCmDbUnTsyX1+DDvXtcGTWK\nsvXr02L9+q/eOMhkMjx69kSrbFlabd78n599Sh4+hIdj9K+F1WkxMZx0dKTGqFHf7JmNDw7m8uDB\nlDQxofX27XneGE4mkxF++TIP164lMSyMKl26YOvqqlSjUjKZjHAvLx5v2EBcYCAmzZtj6+oqTKfM\nZ9LMTKQZGahpack7lHwR4eeHj6sr5e3tab5q1Vc7EASCwqA6f/78+fIOQpGVNDGhUvv2hHt5IUlP\nV5qh9uSICC4PGYK6tnbWiEMepiwIireo+/fxHjuWYHd3jO3saL5qFVYuLmjq68s7tELz8cULbs6a\nxeO//qJUhQo0W7GC6kOH5strEO3vz5VRozCsWZMWGzag9o1Fx9EPHvBs2zYazpnzxUhPqKcne/z8\neOTvj/uRIwDUqlULNW1tkt++5fX581gNGPDV3lnNMmUwadqUgD17iLx+nUodOuSp11MkEqFnbo5l\nnz5oGRkRfOwYz3ftIiMpCYMaNVBVgqpbIpEIvapVs0oTW1gQ7uXFs23bSHzzBsM6dVDX1pZ3iMWC\nSEWlWN1g61SqhL6NDU83byY+NJQKbdoU+REVQdEkjDxkU2ZqKipqasXqg+hbUt6/5/KgQQC5Xiwp\nKP7S4+J4uHo1wUePYlCrFg3mzFG6ntPkiAj8168n9PRpdMzMqDNxIhXats23xXsfnz/n8tCh6FWt\nSqutW7+7XuLGrFlE3b9Pl3Pnvrih+DxtKTwcw3+NPEBW/fsLffvScuNGTFu2/Gb7MY8f4zV8OPo2\nNjhs2pRvvbkZyck8372bF7t2oaKuTo1Ro7BycVGaykyQtc4u9MQJHq5ejVQqpc6kSVj06iXcGAq+\n6lPRhMpOTjRetEj4PREUOuE3LpvUtLSUInFIjY7OKseakUGbnTuFxEHwBZlMRsiJE5zp3JnXFy/S\ncO5cHPfvV6rEISM5mQerVnHayYnIa9doOGcOTidOUNHRMd8Sh/igILxGjECnYkUcNm/+buIgjo/n\n9fnzmPfsmeMbiTI1aqBvY0OQu/t3H2dQqxYOmzYR8+QJPuPHIxGLc3Seb1EvWRLbsWPp4uFBpY4d\nebh6NWc6dybMwwNl6dtSUVXFvGdPnM6coWLbttxZsICLAwbw8cULeYcmUEAVHR1psmQJoadPc+f3\n34vl38lbHx+u//orMqlU3qEIvkJIHgSfZSQlcXX0aDKSkrKqKinRHGRxYiJpsbHyDkPhxQcH4zlk\nCDdnz6Zc06Z0Pn0aS2dnpao//uHePTx69iTwwAGqDx9OFw+PrNcgHzsXEsLC8Bw2DC0jI1pt3frD\nzeNCz5xBKpFQtXv3HJ9LJBJh0asXEd7epLx//93HGtWrR8sNG4i6dw+/yZORZmTk+HzfomVkhN28\neXQ6cQL9atW4NnUqvhMnkhYTk2/nUHSa+vo0XriQtn//TWZSEuf79OH+ihVkJCfLOzSBgqns5ETj\nhQsJcnfn0bp18g4n30glEvw3bMB7zBjE8fFI0tLkHZLgK4TkQQBklZX0cXUlKTycVlu3omNmJu+Q\nCpXf5Ml4jx1LZmqqvENRSJlpaTxatw6Pn34i9cMHWm/fTrPly4t89a2cyExL4/6KFVweNAhNAwM6\nHjuG7dixeSq9+jVJb9/iNXQoGrq6tN6+/YcVjmQyGcFHjlDBwSHX74eZkxMqJUoQcvz4Dx9brnFj\n7NetI9LXl+szZyLNzMzVOb9Fr2pVWqxfT/M1a4i6d4+z3brx5tKlfD2HoivboAEdjhzB1tWVl4cO\ncbZrV8K9vOQdlsJKjY4ulr3vP1K1Rw/qTpvGs23beLF3r7zDybP0uDi8x4zhyebN2I4fT8sNG1AT\n1v8oJCF5yAfSjAwe/fkn4sREeYeSK1KJhOszZhD18CEtN2xA39pa3iEVutoTJhD38mXWzZBEIu9w\nFEqEnx/nunfn+a5dVB85kk7HjytN4YBPov39Od+7N4EHDlB3yhTa7tmDbgEk2Cnv3+M1bBgq6uq0\nzmaFs5jHj4kLDMQ8Dzuna+joYNaxI8FHj2br97+8vT3NVq3izaVL3Jo7t0CmFlRq1w6nkycxql8f\n34kTuTZ9Oulxcfl+HkWlqqFBjREjcDp5Ej1LS3xcXfFxdSU5IkLeoSmU5IgIPHr2JGDPHnmHIhc2\ngwdjM2QI95cu5dWZM/IOJ9dinjzhfO/exD59SqutW6k5apSwlkOBCe9MPogPCSHwwAEu9O1LXGCg\nvMPJEZlMxr1Fiwj39KT5qlWUbdBA3iHJhUHNmjRbsYK3Xl48WL5c3uEohMy0NG7//jtXR42ipKkp\nnU6cwHbsWKVayCoRi3m0bh2XBgxATUuLju7u2AwZUiDTtNLj4vAaPhxpZmbWeqOyZbN1XJC7OyXL\nl8/z7rkWvXuTHBHBu+vXs/X4im3b0mTpUkJPn+buokUF0vOraWCA/dq1NFm2jAhfX851785bH598\nP48iK1WhAg6bNtF8zRpinjzhXI8evDp7Vt5hKQRxQgJXR49GVVOTyp07yzscuakzZQpVunXjxuzZ\nRF67Ju9wcizoyBEuDRhAiTJl6ODuXiR3Alc2QvKQD/Streng5oZqiRJc6NeP0CKU/b/YvZuXbm40\nnDePCq1byzscuarQqhX1f/2VgH37eKGkvVifxAUGcqFvX0JPnqThb7/Revt2dCtXlndYherjixdc\ncHbm2c6d1Bwzhnb796P3r43X8pM0IwO/yZNJj42lzY4d2V5vJE5MJMzDI1cLpf+XQa1alLayIvif\nUq7ZUblTJ+x++42Xhw7x8uDBPJ3/W0QiEVU6d8bpxAlKW1vjPWYMt+bNIyMpqUDOp4hEIlHWSMyp\nU5Rv2ZLr06dzY9YspV4LIRGL8Z0wgdToaFpt3qzU+xCJRCIaLViASdOm+E6aVKQ6MTOSk3myaRNV\ne/TAce9epVprWZQJyUM+0TEzo92BA1R0dOTGjBncnj9f4efPv754kQcrV1Jj5Egs8jDloTix6tcP\nm6FDub9sWZFKAvOLTCYj8MABzvfti0hFhQ5ublj26ZNvFYSKAmlmJk+2bOFC374gk9H+0CFqjRlT\noNXW7i9fzod792i+dm2O1huFnT2LVCymao8eeY5BJBJh3qsX4VevkhoVle3jLHr3xnrgQO4tXcq7\nmzfzHMe3aBsb47B5M3YLFhDm4cHZ7t0L9HyKSENHh6bLltF48WLeXLqER69exDx5Iu+wCp1UIuH6\n9OlEPXxIi/Xr0a1SRd4hyZ2KujrNVq5Ep2JFro4Zk6O/YXlSL1mSDkeOYPfbb8Ku2UWIkDzkIzUt\nLZosXozd/PmEnj7NBWdn4oOC5B3WV0X7+3Nj5kwqdeyIraurvMNRKHUmT6Zq9+7cnD2bdzduyDuc\nQpP28SM+48Zxd9EiLHr3pv2hQwXW066o4kNCuNi/P483bMBm6FDau7lRxsamQM8ZdPgwgQcO0HD2\nbIwbNsz2cTKZjCB3d0xbtsy3kspVunRBRVWVkBMncnRc3alTKde4MX6TJpEYFpYvsXzNp8pQnU6c\nQKdiRbyGDePuokVkpqQU2DkVjUgkomq3bnQ8cgQNHR0u9e/Ps507laakpUwm4+7ChYR7eWVNta1f\nX94hKQz1kiVpuXEjMpksqwBIEfm7UKYNRYsLIXnIZyKRKOvGy80NyNq4SdGqQCRHRuIzbhz6NjY0\nETaY+YJIJMJuwQJsBg2itJIsHn938yYePXoQ/egRLf/6iwazZinV2gaAkBMnON+rF5nJyTju30/t\nCRMKvCfs/Z073Fm0CKt+/bDo0ydHx8Y+fcrHFy/ytFD6f2no6lKpQweCjx7N0c2oipoazVaupESZ\nMniPG1fgxSNKmZrSescO6s+aRfCxY3j07k18cHCBnlPR6JiZ4bhvH9Y//8zDVau4MmpUkeltzovH\nGzYQ5O5Oo99/V/qptl+jbWyMw8aNJISGcn3mTKVJKgWFS7hrLCClLSxof+gQzdesUagpH5L0dHwn\nTEC1RAlarF+vdDeI2aWipkadyZPRLFNG3qEUKGlmJg/XrMFr+HB0zc3peOwYpg4O8g6rUEkzM7m3\ndCk3Z8+mcufOdDhyBENb2wI/b1J4OH4TJ1K2fn3qTZ+e4+OD3N3RLlcOk2bN8jUui169SHrzhve3\nbuXoOA1dXVpu2EBqVBTXp08v8KplIhUVrPv3p+PRo6ioqXHBxYW3V68W6DkVjaqGBnWnTKHVtm3E\nBQZyrkePYr+gvGyDBtSfNStXe5ooC/1q1Wi2YgXhnp483bpV3uEIiiEheShAalpalDI1lXcYn8lk\nMu4sXEh8UBD269YV+xtjwfeJ4+O5Ono0z3fvps7EibTeti3bFX6Ki/S4OK6MGkXggQM0mD0buwUL\nUNPULPDzZiQn4z1uHOo6OjRfvTrH6ykykpMJO3sW8549873yk2HduuiZm/9wx+mv0a1ShWYrVxLp\n58ejtWvzNa5vnrNyZdodOEC5xo3xHjeOp9u2Kdxob0EzadqUTsePY2Bri/cvvxTr16BckyZY9+8v\n7zAUnqmDA7XGjsV/wwbeenvLLQ6ZTEbA/v2EnDwptxiKi2h/f3mH8JmQPCiRIDc3Qo4fx27+fMpU\nry7vcARyFB8SwgUXF2KfPaP1tm1UHz5c6aavxQUFccHZmbgXL2i9fTtW/foVyiihTCrlxsyZJEdE\n0HLDhh9uAvc1ry9eJDMtLV8WSv+vzwunPT1zta9C+ebNqTt1Ks937iT01Kl8j+9r1EuWxH7tWmqO\nHs2jtWu5Nm1akZnvnV80y5Sh5YYNn1+D6zNmkCnszqvUao4ejamDA9dnzCChANcifUt6XBy+48dz\nb/FiEkJCCv38xUXK+/dc//VXLrq4yDuUz3J1t5CRnFxsezWKqw/37nF3yRKsBgygSteu8g5HIEcR\nvr5c7NcPFTU1Ori5YWxnJ++QCt0bT08uurigpqVF+0J+DfzXryf8yhWarViR6wXpYWfPYmxnR0kT\nkxwd13/wYLp27crBH5RVNevUCZlUmuudna1//pmqPXpw67ffCq23TKSigu24cTRfs4aIq1e5NHCg\n0m2o9uk1aLZyJeGXL3N50CBSPnyQd1gCORGpqNBkyRI0DQzwdXUt1NK+H+7dw6NnTz7cvUuL9eup\nM2lSoZ27OHm6bRunnZyI9PPD7rff5B3OZzlOHmQyGT7jxnFl5EiFrSRUVLx0cyuUUoMpHz7gN3ky\nRnXqUG/q1AI/nzKQZmbKO4Qck8lkvNizB+9ffsGoXj3aHThAqYoV5R1WoZJJpTzeuBHf8eMxadYM\nx337KFWhQqGd/9W5czzdupU6kyZh2rJlrtpIjYri/a1bmHXqlONj9+/ezalTp3D5QQ+WlqEhxo0b\n53ozMpFIRMN58yhTvTo+rq6kvHuXq3Zyo1K7djju3484MZHzffrw4e7dQju3ojDr2BHHvXtJjYri\nQt++SlnOVZBFQ0eHFn/+SXJkJDfnzCnwjl9pZiaPN23Cc8gQSpYvT8djx4SF7XmQFhODlbMzXc6d\ny3FRjYKUq5EH64EDSXrzhnM//cTdRYtyNbSt7GRSKeGenngNG8a9ZcuQpKcXyHkkYjF+kyYhUlWl\n2apVBVqrXlm8vniR8717kxYTI+9Qsk0iFnNr3jzuL1tGtcGDabF+PeqlSsk7rEKVkZyM3+TJPP7r\nL2r900OtXrJkoZ0/9ulTbs2ZQ+WuXbEZOjTX7YSdP49IRYVKjo75GN2XKnfqxIe7d3N946+qoYH9\nunWoqKnhM358oU6h0be2pr2bG6UtLfEcNoyX/1S/UyZlatSgg5sb2sbGXP75Z8I8POQdUo4UxQ4a\nRaVnbk6TJUt4c/Eiz3fsKLDzJL5+zeVBg3iycSM1Roygza5dOR4dFfxX/ZkzqTt1Kho6OvIO5T9U\n58+fPz8nB4hEInSrVMGiTx/US5YkcP9+Ag8cQFVTkzI2NojyefFecSUSiajs5ISGjg7Ptm/nzaVL\nGNWpg5ahYb6e597ixUR4e9Nqyxb0hI108oVIVZXAgwd5ff48Fdu2LdQb0NxIj4vj6ujRRPr60njR\nImyGDFG69Q1Jb99yZfhwYp8+pfnq1YW+8V1GcjJew4ZRsnx5WvxzQ51b95YsoUz16jla7xDq6cke\nPz+mT56Mtq5uto4pWaECL/bsQdPQEKM6dXIVq7q2NsZ2djzbvp30jx8xbdEiV+3khpqWFpWdnBDH\nx/N4wwZSo6MxadZMqa5R6iVLUqVLFxLfvOHxhg3IgLINGypUBcCveevjg6+rKxWKwOdrUaFXtWrW\nqMDGjRjVq1cgI67Rjx7x5uJFWm7cSNVu3ZTuOqNMcv3OqmpoYDNkCF3OnaNS+/bcW7qUcz/9RISv\nb37GV6yJVFSoNmgQHQ4fRiQSccHZmWc7d+ZbicM3ly/z8tAh6v/6a6GUnlQWupUr03b3bsSJiXgO\nGaLQc4pTo6K4PHgwCSEhtNm9WynXu8QHB3NpwAAyU1Npd/CgXIbQ7y5aRFpMDM1WrMhTeeTE16+J\nefwYMyenfIzu6zR0dDBt2TLXU5c+0bexoe60abw8eLDQS6mqqKvTYNYsGv3+OyHHjuE3eXKBjfIq\nKtUSJWiyZAm1J0zgycaN3P3jD4Wu/R9+5Qq+rq7oVqmSq2ICgm+rNW4c5Ro35sbMmaTFxuZ7+6Yt\nWuB06lSuOxuUkSL/LX5PntNCTQMD7ObPp+ORI2gaGBBRzGtMF4TSlpa0d3PDesAAHq5ejdewYXle\n6Jfy7h235s2jYtu2CjVPrrjQrVKFtrt3k5maiufgwYU6pzu7El+/5uKAAWQkJtJ2zx6l/ED/+Pw5\nlwcNQkNPD8e9eykthx2zwzw8CD15kgZz5qBTqVLe2jp3DjVt7Vyvl8ipyk5OfHz2jITQ0Dy1Y+ns\nTPmWLbk5Z45cNjIz79mTFhs2EHntGt7jxildJSaRSESNkSOxW7CAoMOHuT5jBtKMDHmH9YU3ly/j\nO3Eipq1a0Xz16gLfpFHZqKiq0mTJEqSZmQW2/kF4z7JHJpPx+sIFznbrRuLr1/IOJ8fybUxJv1o1\n2uzaRd1p0/KrSaWiqqFB3alTabNrFynv3pEaHZ3rtqQSCddnzkRNSwu7BQsUfoi6qNIxM6Pt7t1I\nxGIuDx6sUJVd4gIDuTRwICpqajju3Yueubm8Qyp00Y8ecXnoUEqWL0/b3bvRMjIq9BiSIyK4vWAB\nlTp2zPOoj0wm49XZs1Ro0wY1La18ivD7yrdogXqpUrw6dy5P7YhEIhovXIhIRYWbs2fLpbetvL09\nDps3E/3wIVdGjSrwXbAVkUWvXjRbuZI3Fy9mrUNJTZV3SJ+9vnABv8mTqejoSLMVK4T1eQVEy8iI\nxn/8QYS3N4EHDsg7HKUU+/w5noMH4zd5MqUqViyS07vyNWKRSCRknXlk3LAhnc+cydM0o2fbt/Ph\n7l2aLF0qDPsWsFIVK9L277+RyWRcGjhQIW5Ioh4+5NKgQWgZGeG4Zw8ly5eXd0iF7v2tW3gNG0Zp\nCwva7Nwpl7+DT0m8eqlS2M2bl+ckPu7FCxJCQqiclylLOexpVC1Rgopt2xJ29myeeyk1DQxovHgx\nkdeuEbB/f57ayi1jOzta79hBXFAQXsOGkfbxo1zikKdK7dvTctMmPty5w5WRIxEnJMg7JIKPHePa\n1KmYdexI06VLhcShgJk6OGDVvz8PVq7kY0BAjo7NSEoqoKiKv6S3b7k+Ywbne/UiLTYWhy1bcNi4\nsVAr/uWXQk93hP0hfiwviymjHj7k8V9/UWPECIwbNszHqATfUsrUFMc9e6g5erTcKyJEXruG1/Dh\n6FtZ0WbXLjQNDOQajzy89fHh6pgxGNatS6stW+RWVerZtm1EP3hA02XL0MjmIuXveXXuHCX09SnX\nuHHuG8lFAmPm5ERiWBixT5/m/rz/KN+8OdYDB/Jw1aoc37TkF0NbW9ru2kVyZCSegwfLZRqVvJk0\nbUrrHTuIDwri8uDBeRrpzqs3ly5xa+5czHv3pvHixXm6/gmyr+6UKehWrsy1qVOzNQIlEYt5tG4d\npzp0IOX9+0KIsPhIj4vj3tKlnHFy4t3NmzT87Tc6HTtG+ebN5R1arhVq8pAQFsb5Pn146+MjJBEF\nQJyYyPXp0ylTsya1fvlF3uEoFW1jYyx695ZrDJHXruE9dizGdnY4bNki90RGHl5fuICvqysmzZvT\n8q+/UNPWlksc0Y8e8XjjRqqPGEHZ+vXz3J5MKiXsn+IUhd0ra2xnh6aBQZ4XTn9SZ9IkdKtU4fq0\naXLbAVm/WjXa/v034sRELv38s0JNOSwshrVr03bPHtJjY/EaOrRAFtBmh0mzZjScO5eGc+eiokSV\nsORNtUQJmq1YQXJEBPeXL//uY2OePOF8794837kTq/790SxTppCiLB4SX78m5Phxao6M+2UTAAAg\nAElEQVQeTVcPDyz79Cnyo2uFmjzIMjNRL1kS7zFj8BwyhJjHjwvz9MVGUnj4V7//YMUK0j9+pNny\n5UX+F1OQM+9v3cLH1ZVyTZtiv3Ytapqa8g6p0IUcP861qVOp2L49zVetktsUyozkZK7PmEGZGjWo\nNWZMvrQZ9eABKe/e5WpjuLxSUVOjUocOvPbwyJdKcKolStB0xQqSwsN5sHJlPkSYO3pVq+K4Zw8y\nqZRLAweSEBYmt1jkpbSlJW127SI9Lg6v4cPlsmeTmrY2ls7Owto8OdCzsKDe9OkEHT5M5LVrX/xc\nIhbzcO1aLvbrh4qGBh3c3ak1Zoxwf5FDhra2dPfyoubo0XLr0MpvhZo86Jmb02bXLlpu3Eh6XBwX\nnJ3xmzKFRCX80M6t5IgIznTpwvUZM/7zQR957RrBR49Sd9q0Ijl/TpB7H+7d4+rYsRjVr4/9mjVK\nue4o9NQpbs6ZQ9WffqLJkiVyvbh9KsvadNmyfIvj9cWLaJcrh1HduvnSXk6ZdexIalQU0Q8f5kt7\npS0sqDt1qlzKt/5bqQoVcNyzBzVtbTwHDfpmx0xxplulCq137iT1w4esNRAKsG5LUHgs+vShXJMm\n3Jo37z/rGaL9/Tnfqxcvdu2i1tixtD9wgNJWVnKMtGgrbvuVFPqaB5FIhGnLlnQ8epTGf/xB9MOH\nnOnalTt//FGkduyVF20TExotWMBbHx/Odu1KuJcXGUlJ3Jo3D+NGjeQ+dUZQuKL9/bk6ZgwGNWvS\n4s8/87SHQFH11tubm3PmYN6zJ3bz58t16sPrixezyrLOnp3nsqyfyGQywj09qdC6tdyqchjWro2m\ngQHhXl751qali0tW+da5c+W6cFnb2Jg2u3ahqqmJ14gRSnkdKm1hQevt20l684Yro0aRkZws75AE\nhUQkEmG3YAHihITPI4HxwcFc6t8fVU1NOhw5Qs1Ro4TRhh9Qtqn4cqsPpaKqStUePeh89iy1x48n\n7OxZhayVr2hEIhFVunal86lTGNSqhY+rKx69e5MeF0ejhQuFoV8FlJmWxos9e/Jt879PYp8948rI\nkehbWWXN7y+k8p2KJOr+ffwmT8bUwYGG+VDRKC/EiYncW7wY01atqNKtW761+/HFC1IiI+Wyud0n\nIhUVTFu1ItzTM98ukiKRiEa//440M5OHq1blS5u5pWVoSOtt28hMScm6eVbCijL61arRautWEoKD\nuTpmjNLthaHMSpmaUnfKFILc3Xl34wZ65uY0X7OGdgcOUNrSUt7hKbSE0FB8J0zg6ZYt8g6lUMm9\nuKyapibVhw2ju5cXZWrUkHc4RYaWkREtNmyg+rBhJL1+jUhVlRh/f6XLfouCD3fu8GDFCvwmT863\nC3JCWBhXRo5Et3JlHDZvLnZDotkRFxjI1bFjMahVK6suvJyrtDxau5aM5GQazJ6dr0lMuJcX6jo6\nlG3QIM9t9R88mK5du3Lw4MEcH1uhTRuS3rwhPjg4z3F8omVoSN3Jkwk5fpz3t2/nW7u5UapiRVpt\n3UpSeDje48Yp3U7UAAa1auGweTMfnz3Dd9KkfNtILi4oiJeHDuVLW4KCYdGnD8Z2dlnTl5KTqdi2\nrdw/UxVZalQUt3//nbPduhHz5Ak6ZmbyDqlQyT15+EQZe03zSpKaSpiHB4Z16mDStCnXpk3L1wu7\nIH+Ut7fH/s8/eXftGpd+/jnPI2xpMTFcHTWKEqVLZyUOcipFKk9J4eFcGTmSUuXL02L9erlP14p+\n9IiXbm7Yjh9PSROTfG073NMT05Yt82XawP7duzl16hQuLi45PrZco0aoaWsT7umZ5zj+zbxnT4zq\n1uX2ggVIxOJ8bTun9K2tafnXX8T4+3Nt+vR8Hy0sCozq1qXF+vW8u3mTOwsX5rlDKvL6dS7178/L\nw4fl/v4Kvk2kokKjhQtJ//iRh6tXyzschZUWG8v9FSs41b49rz08qDNpEl3OncOsY0d5h1aoFCZ5\n+BGJWCyXXUkV2eNNm0iLiaHJkiXYr11Lx6NHKW1hIe+wBF9RoVUrHPftI/3jRy44O+e60lhmSgpX\nf/mFzNRUHLZsUcpNANNiYvAaMQJVTU2FKEkrzcjg9vz5lKleHat+/fK17aTwcOICAvJvylIeRkRU\nS5TApHnzfE8eRCoq2M2fT3J4OE+3bfs/9s47Kqqra+PPDL333hGQIh2RrlIERLHFQow9+sYk9hpj\nidFoLIlRY+xdY0UBBRVBEARRegfpvUqvw8zc7w+UL4mKlJm5g/hby7USnXv2wzBz79n77MLStQeC\nvKUlHH7/HWVhYYjduXNYnuYq2trCZtcu5Pn6Iu348QGvk3vrFsK/+Qay5uZwu3x5WDZz4Fbe5xiL\nqqrCZNUq5Ny4gdqUFBJUcS+Mzs7uORcTJiD31i0YLF4M70ePYLBoEenBKzIYMs5DxpkzCJo+HSUh\nIcPyZv5fGnJykHXpEoyWLespzJQaOZJkVZ/pDSl9fbhfvw5hZWWELFiAoocP+3U9k07Hs/Xr0ZSf\nj3HHj0NURYVNSrmXrpYWhH3zDehtbXA+fRpCsrJkS0LW5ctozM1lS7F26ZMnoPLxQYlLhgmpurig\nLj2d5fVpEjo6MFi8GBmnT6MxP5+law8ElXHjMObN5jnlyBGy5ZCClrc3TFetQuqxY8i7c6df1zIZ\nDCQePIiXP/0EnVmzMPbPP4dlaiU3QhAE8nx9cX/SpPc2B9Dz8YHUyJGI3bVrWJ68fQgqHx8qX7yA\nro8PvB89gsn337Nk+OdQZcg4D0oODhCUkUHkqlV4NHs2yiMjh60TQRAEYnftgpiaGgwWLyZbzmf6\ngZCcHFzPn4eqiwui3hSo9QWCIBD3yy+oePYMDocOQdrQkM1KuQ8mg4Fn69ejpaQE40+dgqiaGtmS\n0FJaitRjx6D31Vds+Z2UPnkCRVtbrtl4qTg6gsLLi9KwMJavbfS//0FYSQmxP//MFfd27SlTYL5h\nA9JPnULu7dtkyyEFw6VLoTNrFl7+9BPKIyP7dE1XSwsiVqxA1sWLsNi0CVY//vg5d55LaCosROii\nRXixfTvkzMxAeU+wg8rLi9E7dqA+M/Nznco/oFCpmHDlCszXrYOglBTZckhnyDgPsiYmcDl7trul\nnoAAwr/5Bo+/+gqVMTFkS+M4Bf7+qImPh9XWrf06Bm6tqGCjqs/0FR4BAdjt3w/z9euhZG/fp2uy\nL19G7s2bsN65c0iPtB8MKYcPozIqCg6//84Vp2xvnXgBSUmYfP89y9fvbGhATXw8VMePZ/naA4Vf\nQgLyVlYsbdn6Fl5BQVhv347q2Fjk+/mxfP2BYLBwIXRnz0bcrl2oSUwkWw7HoVAosPrxRyg5OODZ\nunVozM3t9fVMBgMhCxeiJiEBY//6C/rz53/uAMgFMGg0pJ08iaBp09BWWQnnM2dgu3fvB9NeZU1M\noDNzJlKOHEF7TQ2H1XIvZLXK5kaG3DuhYG0N10uXMO7kSTC7uvBkyRKELlpEap9wTtLZ0IDEgweh\n4eUFRRubPl/XVlmJ+5MmIXLNms8tcbkACoUCg0WLIKKs/NHXVj5/jsQDB2CwaBFGTJvGAXXcR2Fg\nIDLOnoXZunVQsrMjWw4AoPjRI1Q8ewarrVvZcjJQFh4OgiCgwkXOAwCoOjuj6uVL0JqaWL62oq0t\nNCdPRuKBA+ioq2P5+gPBYvNmyJiaInLVqmF576Ty8sL+wAGIKCnh6YoVoDU2fvi1PDwY9b//wf3a\nNSg7OnJQ5Wc+ROXz5wiaNg2px45Bf948TLx7F4q2th+9zmz1alD5+ZGwbx8HVJIPg0b7PLC4Hww5\n5wHo3ngpOzjA/cYNOB09CkE5OQhISJAtiyOkHj8OBo0Giw0b+nWdkIICxuzciZqEBNyfNAkZZ89+\n7nwxBGguLsaztWuhaGcH0zVryJZDCnXp6XixbRs0vb2hv2AB2XIAdBeuJ+zbB1VXV7adDJSFh0PG\nxARCcnJsWX+gqDo7g6DTUf7sGVvWt9iwASAIJB8+zJb1+wsPPz8cDx0ClY8PEStXgt7RQbYkjsMn\nIgKno0dBa2hA1IYNvebCq7m5QVxLi4PqPvMhalNS8OTrryEkKwtPX1+YrV3b586W/BISMF+3DkUP\nHqA6Pp7NSsmDSacj/+5d3J88GU+/++5zY54+MiSdh7dQKBSoOjvDfv/+YXGc1Jifj5zr1zFq2bJ+\nbygoFAo0J03CpPv3MWLGDCT/8QcezJhBem/1z3yYrtZWRKxYAX5JSdjv30/q5GSy6Hj9GhErV0JC\nRwfWO3ZwTQpE5sWL6Kyv77cT31eYdDoqY2JYn6LGgloCESUlSOjooDIqigWC3kVQRgajli9H/p07\naMjJYYuN/iIoIwOno0fRmJeHlz/9xBU1GZxGTF0dDr//jsrnz5F86BDZcj7TB2SMjeF85gxcLlwY\n0LA3LW9vSBsZIWHfvk9uU82g0ZB7+zbueXkhZutWSOvrw+HQoWGxl2QFn9+lIUTiwYMQVlTEyHnz\nBrwGv5gYLH/4AR63boFfXByhixYhauPGz3mNXAZBEHi+eTNaKyow9uhR8A+Tk7V/wqDRegZVOR05\nAl5BQbIlAegeDpR59iz05s6FqKoqW2y8TklBV3Mzy7ssscr5UrK3R0V0NNs20bpz5kBERQWJJE+e\n/ifShoYY8/PPKLx3D1kXL5IthxQUbW1hvmEDMs+fR2FgINlyPvMRKBQKFG1tB/y9p1CpsNy8GXXp\n6SgICGCxOnJgdHbi1bVruDdxYk+LbU9fXzgePvx5mnY/GBbOQ/mzZ6iIihrS0aLyZ89Q/vQpzNet\nY0lPYSl9fbhdvowxu3ej8vnzz7l+XMaLHTtQ+uQJTFasgMQwnd2RsH8/Xicnw/HwYQgrKpItp4fU\nY8dA5efHqGXL2GajIioK/BISkDYyYpuNwaDk4ID26mo0sulkgIefH2Zr1qAiMhIV0dFssTEQNL28\nYLhkCZJ++21YNusAAL2vvoLahAl4+dNPaCooIFvOZ9iMnIUF1D09kfzHH+hqbSVbzqAgCALBX36J\n+D17IGdhAS8/PzgeOgQpfX2ypQ05hoXzUODvj7BlyxD85Zcoe/p0yDkRTAYDiQcOQN7KCmpubixb\nl0KlYsS0aZgSHAx5KyuWrfuZwVGbkoICPz/wS0oi+Y8/PpmIT38oCQlBzrVrsNi8GXLm5mTL6aEh\nJwd5vr4YtXw5W0+DKqKioGhnx7WpavKWluARFEQFm1KXAEBtwgTImpkh8cABruo3b7JqFeStrRG9\naRPXFHVzCnpHB15u347XKSkQkpPDs7Vrh2UNCLfAoNFQn5XFdjvma9eis7ERmefOsd0WO6FQKDBZ\ntQpe9+7Bfv/+YRuYYwXDwnmw278f406eBJWHB0+//RYPZ83qHjY3RHL4Cu/dQ2NuLszXr2dLzndf\nC6g+w35ojY2IWr8e0oaGmBwUBPUJE/D8hx/wcufOYfOQbi0vx4tt26Dq6grdOXPIlvMvEn/7DSIq\nKtCdPZttNjobGvA6La3PbXzJgEdAAPJWVmx1HigUCiw2bkTDq1co5CIHmsrDA7tffwXBYCDmxx+H\nXDBqoDQVFSH4yy9RFBQEkxUr4PjHH2guKkLCr7+SLW3YQRAESp88QaC3N8KXLwezq4ut9kSUlaE/\nbx6yLl5872C5oYSKkxPENTXJljHkGRbOw9vuTK6XL8Pl3Dnwi4oictUqBE2fjqIHD7gqqvVfGDQa\nUo8dg5qrK2SMjcmW8xk2QhAEYrZtA625GQ6//w4BCQnY7NkD6x07kO/nh0dz5qDh1SuyZbIVJp2O\n6M2bwSssjDE7d3JNgTQAVERHoyIyEmZr1/ZrvspA7IAguKYl7YdQsrdHdVwc6G1tbLMha2oKdQ8P\nJB85Anp7O9vs9BchOTnY7NmD8ogIZF+5QrYctkIQBPLu3MHDGTNAb2/HhL//hvbUqZDU04PVjz8i\n99atz/UPHKQhNxdhy5YhYsUKiKqpwfn0aVD5+Nhu12DxYlB4eZF+6hTbbQ2G4eLMk82wcB7eQqFQ\noDBmDFzOn4fb5csQlpdH3J49bPfaB0PurVtoq6yEyYoVpGrIv3t3yJzUDFXybt9GaWgobHbv7pn/\nQKFQoDNrFjxu3gQAPJw9Gzk3bpApk62knzqF2sRE2O3f/8EBRmTAZDCQePAg5MzNWZo6+D4qo6Ig\noasLYQUFlq/95YIF8Pb2xrVr1wa9lpK9PZhdXaiKi2OBsg9jtmYNOuvrkXnhAlvt9BcVJyeMnD8f\nSb/9hrrMTLLlsIXOhgY8W7sWL7Ztg7qnJzxv3/5Xfrj29OnQnDQJsT//jNbychKVfvp0NjQgbs8e\nPJg+HS2lpXD680+MP3WKY6k3ApKSMFi0CDk3bnDl77qtqgoJBw4gcvVqsqUMC4aV8/BP5CwsMP7U\nKXj5+3NNF5f/Qm9rQ/rJk9CcPJnU3Ly6jAzEbN2KR3PmfNL9nsmkuagICfv2YcSMGVBzcXnn3yV1\ndeFx4wZ0Z81ia9SbTKrj4pB2/DhGLV8OeUtLsuX8i5LgYDRkZ8OMTamDbyEIAhXR0WybIn71wgUE\nBATAx8dn0GuJa2tDWEmJralLACCqqgpdHx9kXbjQ64AyMjBbswYSOjqIWr9+yBeT/pfW8nIETZ+O\nqpgYOPz+O2x27XpnGCKFQukekigmhudbtnwOMLGJgvv3cd/LC/l+fjBdvRpe/v5QHT+e4yezI7/6\nCvzi4kg7cYKjdnujMS8PMVu3ImDCBOT5+kJcS4urs0k+FYat8/AWQWlpsiV8kOyrV0FrbITxd9+R\nqsN6xw64XroEAAiZPx8RK1eiqbCQVE2fEkw6HdE//ABBWVlYbNr0wdfxCAjA8ocfoP0JTpmmNTcj\netMmyJqbw4iNXYwGAsFkIu34cSjZ20POzIytthrz8tBeXQ1FLk9ZAro3jkp2dqjkQDckw8WLwaTT\nkcVlKUI8/PywP3gQ7VVVSNi/n2w5LEVYURFa3t7wvHMH6u7uH3wdv5gYbPfsQXVc3LBtYctuKFQq\nVMaPx+TAQBguXkxaAIlPRARGy5Yh/+5d0jtt1SYnI2LlSgR6e6MiKgqmq1djakhI92RsLm008Skx\nYOehPjNzWLT3bMjNRRMJPyetqQkZ585BZ9YsiKqocNz+f5G3tIT79euw3bcPdRkZCJwyBXG//DLs\nuo2wg4wzZ1CXmgrbX399J7I3XEj67TfQmppg9+uvoPLyki3nXxQHB6MxLw+jvv2W7baqX74ElZeX\nqzpM9YbCmDFoys9nexGlkJwcdGbNQvbly6A1NbHVVn8R19SE+caNyLt9m6vayg4WCpUKs9WrIaKk\n9NHXKlhbw2DhQiQfPvzJ12WRgebEibDZvZsrps3rzJoFIQUFpBw9Sop9gsnEk6VLEfzll2jKz8eY\nn3+G96NHMFi0CHyioqRoYjUEk4mK6Gg8W7cObdXVZMt5LwN2HlKOHcO9iRMRungxih48AINGY6Uu\nriHtxAnc9/JC5Jo1eJ2WxjG72VeugNnZyVVRWAqVCq03U6pNV6xAQUAAnpJ8KjLUacjJQdrx4zBY\nsoTtUW1upTImBrm3bsF83bqeWg9u4e2pg6KdHUd+P1WxsZAxMRkyHdDkR48G0J1yxm4MFy8Gk0bj\nygJlnZkzoTBmDF7u2PHJpS/1FZOVKyGmoYGYrVvBpNPJlvMZNsHDzw/j5ctR/OgRGnNzOW6fQqVC\nyc4OjocPwysgACNmzPhkUnnba2qQfvo0Ajw9EbZ0KRpzctBWWUm2rPcyYOfB/uBB2O7dCyadjqj1\n6+Hn7IyEAwdIP8piNba//ILR27ejPjMTj2bPRuiSJWwfONfV2orsK1cw4osvuCLS8F94BQVh+PXX\nmPzwIax37CBbzpCFyWDgxbZtEFVXh/Hy5SxZs+HVK7Z2v2E1Xa2teLF9O+RHj4bOrFlky3mHkseP\n0ZibC2MOnDoQBIHq2NghNXNFWF4eYhoaqHr5ku223p4+ZHHh6QOFQsGYnTvRUV+PpN9/J1sOKfDw\n82PMrl2oz8z8nL7UT2iNjUOqXkRz8mQIKyoi/cwZUuwbLFoENVdXUKhDP/OeyWCgPDISEatWwc/F\nBWknTkDe0hJuV65gor8/ZE1MyJb4Xgb8zvMKCkLL2xtuly7BKyAAWt7eKPDzw/1JkxCyYAEa8/NZ\nqZM0eAQEoDtrFiYFBsL+TWpF2LJlCJo6FXl37oDR2clym7m3bqGrtRUGCxeyfG1WIigl9Xky4yDI\nvnwZr9PSMGbXLpZMDSeYTDxbuxaB06YNmem3yYcPo6OuDmN+/pnrHgQEk4nU48ehaGvLkTSixrw8\ndNbXQ8Hamu22WIn86NGojo3liC3DJUvA7OzkytMHUTU1mK1Zg5zr11HFofdjMDDpdGRfucLSkxJZ\nExOMnD8fKX/++ckFEtkBva0N6adPw9/dHcWPHpEtp8/w8PPDYPFiFAUFoaWkhOXrD6d2qy9/+gnh\n33yDluJiWG7ejGlhYbDdswdy5uZc1ar8v7DkaS0xYgQsNm7E1CdPYLd/P6j8/FxdiDwQqDw80PDw\ngMfNm3A5fx6iamqI3bWL5REwRmcnMs+fh5a3N9elcHyGdbSUlSHl6FGM/OorlqXDUKhUjD12DCJK\nSniyZAle7tyJrpYWlqzNDqrj4/Hq6lWYrloFMXV1suW8Q2loKBpzcjCKRadCH+NtvYOsqSlH7LEK\nhdGj0ZiXx5HhUUJyctCZORNZly9z5Wdbz8cHchYWeLFtG1cPdazPzsYjHx8k7NuHqhcvWLq2yfff\nQ1hRES937hxWm8D+wOzqQs716wjw9ETqn39Cy9u7JwVwqDBixgwISEoig4VTp+vS0xG1cSPidu1i\n2Zrcjt6XX2LCtWvwvHMHel9+CX5xcbIl9QmWhvp4BASg6eUF59OnuapHOyuhUChQsLbG2D//xNTQ\nUJanFeX7+aGzrg6GX3/N0nXJgMlgIHbXLtRnZ5MthetI2LcP/BISLJ/fIaahAZdz52C1dSsK791D\n4JQpKIuIYKkNVsDs6kLsrl2QMTGB3pdfki3nHQiCQMbZs5AfPZpjbWOrYmMhY2wMXmFhjthjFZys\newAAgyVLwGhrQ+7t2xyx1x8oVCrG7NqFtspKZJCU0tEbDBoNKceO4dGsWWDSaJjw999QdXZmqQ1e\nISGM3roV1bGxKAoKYunaQx2CyURhYCDuT56M2N27oWhnh0mBgbDasgVCsrJky+sXvIKC0J8/H/l3\n76KtqmrA6zAZDJSEhiJkwQI8nDULtcnJkBw5koVKuRtpAwPImphw9SnD+yAtT6AuI2PIRyVYfbrC\nZDCQce4c1NzdIa6hwdK1yaCtogIV0dF4MGMGojdvHhbdufpCeWQkSkNDYbFhA1u6K1GoVOj5+GCi\nvz/EtbXxdPlyRK5ahdaKCpbbGiivrl1DY24uRm/bxpVt9WoSEvA6NRUGixZxxB5BEKiOi+t39DEi\nIgKTJ0+GiooKqFQq/P39P2ZoECrfj7CCQnfdA4sj2B+0Jy8PDS8vZF++zJUDPsU1NWGwaBEyzp7l\nqnteRXQ0gqZORfqpUzBYsgQet25BxtiYLbaU7O2h5uqKxIMHh20B+X9pKijAw5kzEb1xIyR0dDDx\nzh3Y7d0LUVVVsqUNGN05c8AjJISsN63c+0NXayuyr17tbkizciUIBgOOf/yByUFB0J09mw1qOQu9\nowOF9+8jz9eXbClsgRTnoT47Gw9nzsT9SZOQfvr0oLxWbqapqAh5vr59Pr4uCwtDa2kpDDm0YWE3\noqqqmBQQgNHbtqEqJgb3J0/Gi+3b0VJWRrY00mDQaIjfuxcKY8ZA3cODrbZEVVQw/tQp2B04gJqk\nJFRERrLVXl9pr6lByp9/Qnf2bEgbGpIt571kXbwIcW1tKDs6csReU0EBOuvq+l0s3dbWBnNzcxw7\ndgwASIteyVtZoSYxkWP29BcsQFtlJYqDgzlmsz8YLVsGQRkZxO3dS3qQrKu1Fc/Wr0fY0qUQkpfH\nRF9fmK5cyfYONRabNoHW1IS048fZameoICgrC2FFRbhdvoyxf/4JST09siUNGj5RUejOnIk8X99+\nOYkddXXwd3VFwr59kBk1ChOuXYPblStQc3PjymBSXyEIAjVJSXj500+4O3YsojdtQvmzZ2TLYguk\nNFSX1NWF89mzyPfzQ9qJE0g5cgSKtrbQnjYNqs7OLCke5QYqo6MR98svSPztN4yYMQN6Pj691jFk\nX74MOQsLSBsZcVAle6Hy8UF39mxoTZmC3Js3kXHmDPL9/TFi+nQYLVvWpx7inxJZFy+ipawMTkeO\ncGSjR6FQoDlxIlScnLgmHSbx4EHw8PPDdOVKsqW8l6aiIpQ+eQLrHTs4VsRdm5wMUCj9rnfw8PCA\nB5ud0L4ga2aGvDt30NXSwpFe61IjR0LRzg5ZFy9CY+JErjvy5xUSguUPPyBy5UqUhYWxPDWov1qY\nNBps9+6F5uTJHHuvRJSVYbRsGVL/+gvaU6dCQkeHI3a5FX4xMYx94+R/Suj6+CDzwgUU+Pv3OQVV\nUFoapqtWQdnJ6ZOo7WyrrkZhQADy/f3RlJ8PYUVF6M2dC+0pUyD2CWSRvA9STh4oVCoUbWxg9+uv\nmBYejtHbt6OrtRVR69fjzrhxSDp0iAxZLEfPxweTg4K6N863biHA3R0RK1eiMibmnWhUXWYmquPi\nMPKrr0hSy17e5kd6P3wI05UrURIcjKLAQLJlcZTW8nKknTyJkXPncvxByicqyhXdjKrj41F4/z7M\n1q0Dv4QE2XLeS/alSxCQkoKWtzfHbNYmJkJSV3fIDjmSNTMDCAK1KSkcs6m/YAHq0tM5VmvRX1Sd\nnaHk6Ij4vXvZ0pWvr1CoVDgdOQItb2+OO1kGixZBRFmZK05gPsMeRJSUoObmhuwrV/rVblZ3zpxP\nwnFoyMmBv4sLUv/6C9KGhnA+cwZTHj+G6Zu5J58qpO8m+MXEoDNzJiZcvYpJ98Qt1fsAACAASURB\nVO9Dd/ZsUPn4yJbFMsTU1WG5aROmPXkCq23b0FxUhCdLliBoypR/tdPMvnwZwkpKUHVxIVEt++EV\nFobhkiXwDg6G3ty5ZMvhKIkHD4JPRIQjMwO4EYLJRML+/ZA2MoL2lClky3kvnQ0NyPfzg56PD0dP\nQGuTkro34EMUcU1N8EtIoDYpiWM2leztIaGri6wLFzhmsz9QKBRYbt6Mtupqrmwtywl4+PlhtWUL\nqmJiUMKlKWasojo+Hg05OWTLIIWR8+ahuaioJ0WnpaQEnQ0NJKviDBI6OrD55RdMe/oUdvv2QdHW\nlisCdeyGq35CcS0tmK1eDZPvvydbCsvhFRaG7qxZmOjnB5fz5yGupdUTZWyvrUVRUBD0vvwSVF5S\nMsk4Dp+IyJCZossKapOTUfzoEczWrOHK6HLl8+coefyYrdHBogcPUJeWBvMNG7j25prv5weCweBo\nwR6tsRGNeXkccR4MzM2hqKgIS0tLeHt7w9vbG9euXRv0uhQqFbJmZhyte6BQKNCfNw9lT5+ipbSU\nY3b7g7imJnRnzUL6qVPoqK9nmx1ujuorOzpCeexYJB06BAaNRrYclkIQBKpevEDIwoUImT8fubdu\nkS2JFGRNTSFlZISUo0cR/u23CPD0RB4XdkNjBxQKBVre3uAXEyNbCkfhzif4R2h49QpVL18OqYmM\nb3nb6tXx8GHIjBoFAMi9eRMUXl7ozJhBsjrugh3DZ8iAIAgkHToECV1daE6eTLac91ISEoLI1asR\numgR6jIyWL4+g0ZD8uHDUBk/Hgpc2s+cYDKRc+MG1CZMgKCMDMfsvk31YdW8j97ITExEZWUl4uPj\nERAQgICAAPj4+LBkbTkzM7xOSeHofVnD0xN8oqJcvWl7Oyck7cQJlq9NMJnIv3sXj7/6iqvnSpit\nXo2W0tJPpvMMQRCoiIpCyLx5CF28GF2trXA8cgSWmzeTLY3jdDY0IPvSJXRUV6M+IwMtxcUYs3Mn\n9IZ4CnZXayvy/f0R/u23nzuGvYch6Tzk3bmD0EWL4O/mhqTffx/SR4VMBgO5t29Da9Kkd3LAh/MH\ntjYlBQEeHohYsQKvU1PJljMoKp49Q3VsLMxWr+baThKjt23DuBMn0PH6NR7OmoWYrVtZ2tr11d9/\no62yEmZr17JsTVZT9eIFWoqLOd4msDYpCQJSUhDlxKA8NkaoZc3M0NXSgsa8PLbZ+C+8wsLQmjIF\neXfucG1UW1BaGoZff42c69dZ2rq16sULPJozBzFbt0JYURH09naWrc1qJPX0oDV5MtKOHwe9rY1s\nOQOGYDJR+uQJgn18ELZsGZgMBsb+9Rc8bt6EmosL156osoOGnBw837IFfs7OSPr9d8iam4NfXByK\ndnYYMWMGeAUFyZbYb5hdXSiLiEDUhg244+SEmC1bQG9r48gAzKHGkPykW2zaBLcrV6Aydixyb99G\n0NSpCJo+HZnnzw+5tq8VUVFor6rCiC+++Nff05qacHf8eESsWoWKqKghecoyGKT09TFm92405uXh\n0Zw5eLJ0KdcWRvYGwWQi6dAhyFlYQHnsWLLl9IqyoyMm3r0Lqy1bUBYejnsTJyJh//5Bp1t0tbQg\n/dQpjJgxAxLa2ixSy3pyrl+HhI4O5CwsOGr3dXo6ZIyNB1TM2traiqSkJCS9qTXIz89HUlISSkg4\ntZM2MgIoFNSlpXHUru7Mmeisq0NJSAhH7faHkfPmQVBGBiks6LbzOi0NT5YuRejixaBQqXC9dAkO\nv/0GQSkpFihlH8bffw9aUxOyLl8mW8qAaausROTq1aDy8WH8qVOY8PffUBk7luu6fXGClpISVMfH\nw/jbbzH1yRM4HjqEEV98gcL790ltEDAQalNSELdnD+46O+Pp8uVoePUKxsuXY8rjx3C9cAFinAjs\nDDWIIQ69s5MoCQ0lItesIa6ZmRFXjYyIXF9fsmX1macrVxKB06YRTCbzX3/f1dpKZP/9N3F/yhTi\nqqEh4e/uTqSfPUu0v35NklJyYNDpRGFQEBE4dSpx1dCQCP7qK6IsIuKd94tbKbh3j7hqaEhUJySQ\nLaVf0FpaiJRjx4gbo0cTd11cCEZX14DXSvnrL+KamRnRWlnJQoWspbWqivjb2JjIvnqVo3aZTCbh\n6+hIJB85MqDrw8LCCAqFQlAoFIJKpfb896JFi/71utDNmwkARE1xMStkf5B7Xl5E7O7dbLXxPh4v\nWEA8XrCA43b7w6tr14irRkZEfU7OgK5vzM8nIlavJq4aGhL3Jk0iih8/HjL3wbfE7dlD3LS2Jjrq\n68mWMmAaCwvJlsAVMBkMgslg/OvvGgsKiKuGhkRBYCBJqgbGwzlziDvjxhEJBw4QdZmZQ+57RQYU\nguDiSqt+QmtuRsnjx1AYPRqiampky/ko7TU18HN1hcXGjRj5gc5DBEGgNikJOTdvovjhQ4AgoObm\nhhEzZkDRxobDismDIAiUhYcj/eRJvE5NhcnKlRj1v/+RLatXmHQ67k+aBIkRI4Zsf++O+no0ZGcP\n+LNGa2yEv7s7tKdMgeUPP7BYHetIO3kS6adPY1pYGEcL39qqquDn7AzHI0egxsZOa09++AEuv/6K\nmuJiyLLx3hi1YQNay8sx4epVttl4H4VBQYjesAGT7t+HuJYWR233FQaNhvteXpAeNQqOA2hHnnvz\nJtJOnYLJd99B09uba1Mge6Ojrg4BHh7QnTUL5uvXky3nM71AMJkDSsMKWbAAFF5euJw9ywZV7KGt\nuhqCMjJc+Z1i0umoiY9HyZMnkLewgLq7O9mSAAwibYkgCNSlp3NVOg2/mBhGTJ8+JBwHACgICACF\nSoXWpEkffA2FQoGcuTns9u7FtLAwmK5ejfrMTKT+9RcHlZIPhUKB6vjxmHDtGpzPnoUWlxYe/5Oi\nhw/RUlIC4yHcPUxQSmpQTmrmxYtgdnXB8OuvWaiKtRAEgXw/P6i7uXG8Y8bb4nRpAwOO2mUX0kZG\nqM/OBpPB4KhdNRcX8ImLI9/fn6N2+wMPPz9GffMNSoKDUZ+V1e/rtadPx+SgIGhPm8aVm5y+ICgt\njZFz5yLn+nWubOXZVFCA9poasmWQBvFmVsuL7dtxz8sLzK6ufq8xYsYMVMXEcE3Dk86GBtCam3t9\njbC8PFd9p+jt7SgJDcXzLVtwx8kJoYsXo+TxY3Q2NpItrYcBOw/1WVl4OGsW/FxdEbtrFyqfPx/Q\nB40MojdvRuzPP6M6Lo4054cgCOTduQP1CRP6PCxLQFISBgsXwuvePTgdOcJmhdwJhUKBoo0N1w+X\nIZhMZJw6BeWxYz+ZjWF/6Wppwau//4bu7NkQkpMjW84HqU1MREtxMbSnTuW47bqMDAhISUH4E5m0\nLm1gAEZ7O5oLCjhql0dAAJqenigICOC449IftLy9IaKqiowzZ/p9LZWXFzz8/GxQxVlGzpsHAuCq\n2Rc1SUmIWLkS9ydPRjaHT824gY76emRduoSgadMQ7OODiuhoaE2ePKAmBGpubuATFUXenTtsUNo3\nulpbUXDvHsK//RZ3x45FPola+kPl8+eIWLkSvg4OiFy5EnVpadCdPRvu169jamgodGfNIltiDwMe\nKiCpqwuX8+dREhqK0tBQ5Fy/Dj5xcaiMHds9WdPeHnwiIqzUyhIIgoCIkhIK7t1Dzo0bEJKXh7q7\nOzQmThxw0eJAqElIQHNhIay3b+/3tRQKBQKSkr2+hiCIYVnE9ZaW0lKIqqqSZr80NBSNeXmw/vln\n0jRwiudbtkBCWxu6Pj7/+s7n3r4NRns79OfPJ1Hdx8n384OIsjLkSWghW5+RASkDg0/muyr1xlGu\ny8jg+BR1ralTkXPjBqpiYqBkb89R232FyscHgwULEL93L0xXr/7XPaqlpAQiqqqfzGfhQwhKS0Nn\n5kxkX70K/QULSOuPz2QwUBYWhqxLl1ATHw9xLS2M2bmTa9tpsxqCIFAVE4NcX1+UhoQABAFVFxdY\nbNgABRubAUfieYWEoOnlhXw/Pxh//z3HIvr09naUR0Sg6MEDlEdEgNHZCTlzc5hv3Aj1CRM4omGw\ntJSUoOP1axh/9x1UnZ0hrqlJtqQPMmDngcrLCwVrayhYW8Ny82bUZ2Wh9I0jUXjvHkSUleEdHMx1\nN0IKhQLTVatgsmIFalNSUPTgAYoePED25csQUVGBhocHRs6fDyFZWbbqKAoMhLCSEts2LBlnzqDi\n2TNoTZkCdXd3rnTk2EVbZSXuTZwIWVNT6C9YAJXx4zl6JEkQBNJOnoTCmDEc6d1PJkw6HTwCAkg5\nehTpZ89Cd/ZsjJw7F/wSEsi6dAmakyZBWFGRbJkfhN7ejuJHjzBy3jxS2izWZWRAi0unbQ8EfnFx\niKqpoS49HVre3hy1LWNsDHFtbeT7+XGt8wAA2tOmIfXYMWRdvAirH39EbXIyMs+dQ0loKMYdPw5l\nR0eyJbIdg0WLkHPtGnKuX4fR0qUctU1rbESury9yrl1Da3k5ZM3M4HjkCFTHjx9WrVYB4OXPP4PK\nywvT1auh5e0NQWlplqyrNWUKcm7cQE1cHBTGjGHJmr2RdekSUo4cAb29HdJGRjBZsQLq7u5cn6Hw\nX0bMnAkdLjpd6A2WjDOmUCiQNjCAtIEBTL7/Hs3FxWgpKeE6x+GfUKhUyJmZQc7MDBYbN6ImLg5F\nDx8i388P+gsXstU2s6sLxcHB0J46lW03K0k9PVS9fIkX27cjbs8eqLm5QXvKFChYW3/yN0hBOTk4\nHDqErIsXEblqFUTV1DBy3jxoT53KESeq8vlz1GdmwnkIFYwNFCovL6x37IDRsmXIvnwZr65eRdaF\nC5A1NUV7VRX0Fy0iW2KvlEdEoKulhZQamvaaGrRXV3M0rY0T/TGkjYxQl5nJdjv/hUKhdM8SOHUK\n9LY28AoLc1xDX+AVEoLul18i4/RpvE5Px+vkZIhpasJ6+3YoWFuTLY8jCMvLQ3v6dGRdugT9+fPB\nIyDAMduNeXlIOXIEGhMnYuTcud0thochFAoFbpcuQVBWluV7NRkTE4ioqKAwKIgjzoPEiBEwXLoU\nGh4eENPQYLu9/kBvb0fl8+coe/oUknp6H2yOA4Cr98z/hbRuS4zOTlRERUHRxoarbvID7TDQH8qf\nPUP4//4Hj9u32b5xaK2oQOG9e8j380NzURGElZSg5e0NnS++GHJe+UB4nZqKrEuXUPzoEXiFhaE9\nZQp058xha0eW8OXL0V5dDY/bt4fUzYAV0JqakHPzJlKOHAHBYEDd3R32v/3Gte/Ds7Vr0VxcDM/b\ntzluuywiAk+XL4f3o0dsT7F7222puqgIcmzuWZ5x9izSTpzAzBcvOB6oaC4qwr2JE+Hw++9c05Xk\nn9A7OlAUGIiMc+fQXFgIYUVFWP7wA8dPR7mBpsJC3Pfygs3u3dCeNo1jdgmCQGdDA9fPxRgsBJMJ\ngsEAlY+PFPtJhw4h99YtTAsP/yRqdfpDa0UFyp8+RdnTp6h68QKMzk6IaWpC78sve3UehhKkhaBr\nEhMRsWIFbtvbI+ybb/DqzREi2fTlYZd++jRqEhMHXGxdFBQEMU1NSOnrD+j6/iCipASjZcswKTAQ\nbleuQNnBAa+uXh1Qt4+hiIyxMewPHID3w4fQnT0bhYGBSDx4kG32moqKUB4RAb2vvuLaDTM74RcX\nh6SeHggGAwZLlkB8xAiufR/o7e0oi4ggbZNZn5EBfnFxiKiokGKfXUgbGoLe1sbSacp9RUxDA1IG\nBih+9IjjtvtC1oULeLFjB8S1tKDm5gZGRweU7O2HneMAAOKamlB2ckL21ascORF7C4VC+aQdh8b8\nfCQfPgx/NzcU3r9Pmg6NiRNBa2xE5fPnA7q+q7UVRQ8eIHLNGpYMV+QEJaGhCJo+Hf6urojbsweM\njg6YrFyJSYGBmBwY+Mk4DgCL0pYGgqKNDSYFBaE8PBxlT58i/tdfEbd7NyT19KAybhxUxo+HrIkJ\nWfI+SGdDA7KvXEHyH39ASF4eam5uUHNzg5yFRZ8eAIzOTpSGhmLk/Pkc3VS9bfkqZ24Oi82bQeUl\n7VdPCiLKyjBbswbG333H1haBr65ehYC0NDQnTmSbDW4n89w5yJiawmzNGq51HIDulCVGeztpxXT1\nmZmfVLH0W/5ZNE3GzAV1d3eknTwJens7eIWEOG6/N3Rmz4aGpyfENDTQUlqKe56eyPfzg56PD9nS\nSEFv7lyE/+9/qElIgLyl5aDXq8/KQp6vL0xXrx5WdX7ttbUoevAAhffuoS49HXxiYtDw8ICUoSFp\nmiT19CAxYgSKgoKgMnZsn67pamlBaXg4SoKDUfHsGRidnZA2MuLqGqZ/wiMgAEldXRgtXQole3vw\ni4uTLYltkLqDFNfQgPiCBdBfsAC0piZUREejLDwcOTduoOzpU0zkwvZaApKSmPrkCWqTklASHIzi\nx497Noyq48d3d5pycPjg5rw8MhJdLS3Q8PTksPL/h1dQ8KOvaczPh5i6+ifnZPDw80NYXp4ta9Oa\nm5F/9y5GzpvH0RxebqIxNxfVsbGwP3iwT5tiWmMjeIWFSTlaLw4OhpSBAWk5sg25uVB2cCDFNjsR\nkJSEkLw8GnNzSbGvPmECkv/4A+Uknip9CEEpqZ6ot6iqKlRdXJBz/Tp058z55JzIvqBkbw9xbW1k\nX748YOehq7UVxQ8fIvfWLbxOTYWQnBy0vL0hY2zMYrXcR0V0NLIuXEDl8+egUKlQHjcORkuXQtnJ\nifRnEIVCgbqnJzLPnfuoI1+TkIC0kydRFRMDJp0OGRMTmKxYATU3N1K7Jv4TgiDA6Ojo9edQdnD4\nJO/p74Nrdob84uLQ8PCAhocHmAwG2quryZb0Qag8PJC3tIS8pSUsNm3C69RUlIaGoiQ0FMWPHmF6\nZOQHry0ODu72yLW1Oai4fzDpdIQuXAiCIKDu7g7NSZMga2o6bB5ub/t8a3l796uNYP7du2DQaNCd\nM4dd0rienFu3ICgjA9U+TktOPnwYJSEh0JoyBSNmzOBYazp6ezvKnj4lbUo5o7MTLcXFkBgxgqN2\nv1qyBAJCQvDx8YEPG6PdEiNGoDEvj23r98Y/U5c45TwQBIGahATUJCT0q3uQ7uzZePL11yyLvA81\nKBQKRs6di7hffkFreXm/6vDqMzORe+sWCu7fB72tDUoODnA6ehTKTk6fXNDrQ7SWloLe0YHR27ZB\nbcKEj7Zw5zQanp5I/fNPVERFQc3V9YOvI5hMMDo7Yb5hA1SdnbmmHrOrpQWVMTEoj4xExbNnUHZy\ngvWOHWTL4gq48htG5eGByEeGJrXX1CBh3z4oOTpCyd6e7a1VPwSFSoWsqSlkTU1humYNOmprP1gc\nxOzqQnlkJNfnvVF4eDDuxAkUBgaiKCgIOdeuQURVFZoTJ0LTy4vj/ds5TWNuLvJ8fZH0++9QmzAB\nI6ZNg/zo0b06TwSTiVfXrkHd3Z1tJxvcDr29HQX+/tCdPbvPBXK6c+aAwsuL3Nu3kXnuHOStrDBi\nxgyoubmxNeWE7JSlpoICEEwmx79LV86eZXvBNNDtPJT3EkRhN5xKXWotL0dhYCAKAgLQlJ8PMQ0N\njJw7t89NQBTGjIGoujpyb94cls4D0B2kSTp8GDnXr8Ns7do+XfNixw7k3b4NIXl56M+bhxEzZnDN\nhpOTcHtrT3FNTYhra6MsPLxX50HeygquFy5wTtgHIAgCjTk5KI+MRHlkZHdtK50OMU1NqLm6Qo2k\n50VHXR2qXr5E1YsXXOO8DMp5aCkpgbCyMinFXu01NWguLkbRli0AutsDKjk4QNnRETLGxqREHigU\nSq+TdKvj49HV1ISu5mY05OZCgkuLSSkUCqQNDSFtaAiztWtRExeHwsBAvLp+HemnTkFy5Eg4nz4N\nQRkZsqWyBesdOzBq+XIU+Psj784dFAYEQFRNDdrTpkF76lQIKyi8c011XBxaioths3s3CYq5g6KH\nD9HV0gKdL77o8zWSenqw2rIFZmvXojQkBHm+vnj+ww+I27MHGh4e0F+0COJsSCsqDg6GlL4+aSlL\nb6Pyn6ojLqGjg1d//w1GZycp6RPsTF3qamlBcXAwCgICUB0XBx4BAai6uGD01q3dQYZ+dJiiUKnQ\nnTULyYcPw2Lz5k+6kPdD8AoLQ2vyZOT7+8Nk5co+Pbs1PDygMnbsJ3vKwGQwUBMfDwaN1msaDDfu\nH97CoNFQHRcHXkFBFD14AOudO7m+MUDm2bNIOnQIPEJC3TPMNm2CsqMjRNXUOKqjq6UFVbGxqHrx\nAlUvXqDh1SsAgDgXZawM+FtHEASC584Fg0aDvJUVFG1soDBmDCR0dDjygZY2NITHzZtor61FZXQ0\nyiMjkXP9OtJPnuyZdG27dy9XfbnKwsIgICODXF9fZF+5AhFVVaiMGwfVceMgZ2nJle3MqDw8UBgz\nBgpjxsBq61ZUPHuGiuhoCLBomAy3IiwvD6OlS2H49deoiY9Hnq8v0k+dQuqff8Lz7l1I/mfTl3f3\nLkTV1SFnYUGSYvLJvXEDSvb2A7rR8goKQnPSJGhOmoTmoiLk3b2Lwvv3oTN7Nst1Mmg0lEdGwoDE\nGRSNubkQkpf/ZAvqJHR0QDCZaCoo4EhXuf8ipqEBST09lIaHs9R5YHR2ws/NDV3NzVAYMwY2u3dD\nzc1tUMW5WlOnIvnwYRT4+ZH6mSSTEdOm4dXVqyiPjITq+PEffb2irS0HVHEWgslETWIiih8+RHFw\nMDpqa6Hk6Dikcug76utRHhGBsvBwVERFgd7aCkEZGTA6OvA6OZnrn4/q7u6QMjSEvKUlqTUjwV99\nhcacHAgrKkLRxgYGixdDwdr6vYFLshi4y04QcDx8GFUvXqAyJgaJBw+C2dUFQRkZyFtZQd7KCuru\n7myPTgvJykLL2xta3t5gMhioS0tDRVQUulpbucpxIAii+0Hm6gqLTZtQ9fIlysLCUBoSgldXroBP\nVBRK9vZQGTcOGl5eXOmh8/DzQ9XZGarOzmRL4RgUCqXn82z1448oDQt7J0+d1tyMkuBgjPrmG676\nzHGS+uxsvE5NheORI4NeS0xDA2arV8N05UqADe9nbWIi6K2tfe4Awg4a8/I4Xu/ASd7+bI25uaQ4\nDwCg7OSEvDt3WDq7h0dAADa7d0PGyIhlk9MFpaSgNmECcm/fhv7ChcPyHiJlYAApAwPk+fqCoNMB\nAGpubiSrYj8EQeB1aiqKHjxASXAw2iorIaSgAA1PT2h4ekKGCztOvo/alBQk7t+P2uRkEEwmZIyN\nYbh4MVTGjYO4jg78nZ1RGhZGmvPQUlKCiuhoiKio9OqMiaqpcfyU4X2M3rYNQrKyEFVX59r7wYCd\nBwqV2tP6c9Q334De3o7apCRUvniB6thYJOzbBzkLC46mtlB5eHrqDz4GwWSiNiUFMqNGceTYszEn\nB62lpVAZPx48AgJQdnSEsqMjrAgCDVlZKA0PR1l4OFKPH4cmCdNuWUlXayvCly+H6vjxXNUtYbDw\niYq+dxJx0YMHYNJo0PL2JkEVd1B47x4EpKSg4uTEsjX7suEruH8fkjo6kBw5ss832fLISAjKypK2\nqQW6N9XKjo6k2Wc3/OLi3R2XSCqaBrqdh4wzZ1CXnt7nzjsMGg1UPr5eP0tqfWwG0B+0p05FUWAg\nXqemcmWLcnZCEATq0tPBKyyMsrAwlIWFQWPixGHhPJRHRODpt99CUEYG6u7uUPfwgJy5OceHKw4W\nfnFxCEhJwfqnn6Ds5PRO+rby2LEoCwuD+bp1HNFDa2pC1cuXqIiORmV0NFpKSkDh4YHB4sWknOTQ\n29tRm5yMqpcvUR0XB8dDh3rdGw+F+ieW7Zp5hYSgaGvbc5xIb2//6LFPR309BCQkSPmi1Gdn4/Hc\nueATFYXCmDHd2m1sIKapyRZPr+zpU/AKCb0zqp1CofREXYyXLwe9vZ1rPc2+QmtshICkJFKOHkXi\nwYOQMjSE+oQJUHNz41g3HU6Sf/culBwcIKyggK7WVkRv3Ah1Dw+oOjsPi17jTAYDhYGB0PD05GjL\nVWZXFxL370fH69cQUVHpPhVzcYGcuXmvAYHyyEgoOziQ9oBm0GhoKSn5pE8egO7UJTKdB1lTU/CJ\niaE8MrJX56GrtRUVUVEoCQlBWXg4XM+fh7SREQeVdhdOC8nJofD+/WHjPLRVVXUXm/v5oTEvr3sz\nRaVCf8ECWKxfT7Y8jqBoYwOXc+cgZ2XFldkGb/lY7ZK4piacjh794L+rjh+P/Dt30FxcDDE2Nmwo\nevgQ2Zcv43VqKggGA2IaGlBycICSnR0UrK3BJyrKNtv/hN7WhpqkJFTHxqI6NhavU1PBpNMhICkJ\nOSsrdLW0DPmaUbaF3PvS4SJ6wwa8Tk+HvIUF5EePhsLo0ZDU1+fIl0hSTw8Trl1DRVQUKqOjEf/r\nryDodAgpKEBxzBgo2NhA08uLZacSlTExkLe2/mhdw8feN1pTEyJXrYKSvT2UHBz6FXHlFCLKynA6\ncgRdra0oj4xESXAw0k6eRPIff0BSTw9qEyZ8Mik+LSUleJ2SArsDBwAAHbW1oDU34/nmzeAREoKa\niws0J02Coq3tJ1nYBwDVL1+ivbqa4ydmVD4+TAkJQXVcHErftEnOvnwZApKSUH5TTKni5PSvzjet\n5eVozM2F8bffclTrP2kpKQHBZEKMhAFqnERMQwPVsbGk2afy8kLJzg7lkZH/+n0TBIGmvDyUP3uG\n8ogI1MTHg0mnQ1JPDwYLF0KQhM59VB4eaHh5oSAgABYbNpAy94STVMfHI2TBAlD5+KDm4gLzDRug\naGuLqHXrUP3yJdnyWAKjsxPNJSXv1Mf9Ex4BgXcCitwAk05HbXJyd9ehp0/BLyExqG5ICtbWoPDw\noDImhq3OA6OzE0Ly8hi9dSsU7exIyXpg0GjwdXICo70dAtLSkLeygsWmTZAfPbq7Sc4QO1X6EKTu\nZoy/+w6Vz5+jOi4OKUeOgNHZCV4REciZmUHO0hJqbm5sm4dA5eGBrIkJgrDs1gAAIABJREFUZE1M\nYLx8ObpaW1EdH99d3R4Tg8rnz1mWhkLv6EBNQgLM1qwZ9Fpvh2qlnjiBpEOHICQn19NlStHWlqsK\nMPlERHpmd9Db21ERFYXi4GDUJiV9Eo4D0B3p4BEU7MmfF9PQgNulS2gpK0NRYCAK7t1D4f373cfS\nnp7QnDixT2l1Q4mCgACIaWiQMpSJh58fSnZ2ULKzg9WPP6IuPR2lT56g9MkTFPj7Y1p4+L+ch/LI\nSFB4eEgtuGwuLgYAtj5EuQExdXXks7jmoL8oOzoiZts2dNTVQfBNk4eQefNQk5jYs3GzIKmjyn/R\nmjwZWRcuoCIqCirjxpGqhd3IGBvDZtcuqLq4/OuZpe7piah169geoWYXtOZmlEdEoPTJE5RHRIBX\nWBjTwsKGxIaxrbq6u/nMs2fddaNNTRCQloayg8OgP498oqKQMTZGZXQ0dAfQWpYgCDQXFoJXWLjX\nomHtKVOgPWXKYKQOGh5+ftju2QOJESMgrq39yex1/gupzsPbmgmg21t7nZqKmvh4VCckIPPcOYgo\nKXFsmBqfiAhU3kQqAfQpfaivbQhr4uPBpNGgaGc3aJ2iamoYe+wYGDQaahISeoaX5N+9CwoPD+Qs\nLOB85gzXRbl5hYS6+yS7uoIgCLLlsIzihw+hMnbsO+lJoioqMFq2DIZLl6I+MxMF9+6hKCgIdWlp\nmPBmCN2nAINGQ0loKAy4oNCTQqVCxtgYMsbGMF21Cu01Ne/k3lZER0PW1JRUJ7ulpAQ8goK9tnVm\nF5z87ompq4PR2Yn2mhrSuoQoOTgABIHKmBhoTpwIoHu2iNH//gf50aPBKyhIiq73ITlyJCR0dFD0\n4MGQdx4Iguj1fsDDzw/tadPe+XsVJyfwCAmh+NGjfg3bI5P2mhqUvml+UvXiBZh0OqSNjGD49dfd\nwzKHwOaxLDwcT7/7DgAgPWoU9OfNg7KjI6SNjFjm+Cja2uLV1atgMhh9yi5prajobsjzpl1pe1UV\njL/7juOnxgRBoKW4GDUJCahOSEBzYSFcL13q9fPNyvlBDBoN9VlZqE1KQm1KChwOHmTZ2oNhUDvM\n8mfPwMPPD2kjo0HndvPw8/dMbTZCdx41wWD0ek1rRQVAEGwZDvOx9CF6Rwd8HRwgMWIEFEaPhtwb\n7e/blFQ+fw4hOTmW5jjz8PND0cYGijY2wIYNaC0vR0VUFFpKS7nOcfgvH9tktpSWIv7XX6EybhxU\nxo4lZZPVF5oKClCflYVR33zzwdf8c2aG+fr16Kyr46BC9lMZEwN6aytpw3N647+fG4LJRE1c3L8m\ngIcuWgR+CQnIjx4NeUtLSOrpsT1K2FxcDFFV1SERjRwMbyP5zcXFbHce6O3teJ2WhurYWOgvWNDz\nPBKSk4O4tjaq4+J6nAfNSZPYqmWgUCgUqLm5IfvKFTBoNK5s3d0b9I4OVEZHo/jxY9SlpmKin1+/\nn0W8wsJQGTcORQ8eDAnnoTEvD4FTpoBCpULeygrmGzdCdfz4ITewTtbMDHYHDkDRxqbnhI7VKNra\nIu34cdRnZkJm1Kj3vqY0LAylT56gOjYWLSUlAIUCKX19aHh6QtHGhiPdmph0OhpevUJ1fHzP1PiO\n2lqAQoGkri7kLC27s2TYHHhIO3kS5RERqMvIAJNGA5WfH9KGhmy12R8GtctMP3ECNYmJoFCpkNTT\ng4yJSfcfY2OIa2kNqnaBysMDfOT67CtXkHXhAoQVFSFnaQk5MzPImptDUleX/RtoJhOWGzeiOj4e\nRQ8eIPP8+e4P+siRkLOygoKVFZQcHMArJITK58+hYGvL1sisiLIydGbO/OjrCIJATUICZIyNufbh\nRGtqAq2pCbE7d+IlkwkZE5PueRjjx0NCV5f0CPdbih48AK+wMJT62DWHysPzUUeoo64OrWVlkB41\nimt+zt4oDQmBmIbGkCj+bczLQ2dDA+RHjwbQ/V2Qs7BAVWwsEg8cALOrC3zi4pAzN+85wZAzN2d5\n0XvLEE3J6C+iqqoAhYKW4mIovHnPWQFBEGgtLUVNcnJ3NC45GQ3Z2SAYDPCJi0PZyelfmxN5KytS\nay/6g5qrK9KOH0d1bCyU7O3JlvNReuraHj9G+dOnoLe3Q0JHB+oeHmB0dg7oOazh4YHIVavQmJ/P\nscyDgSKurQ27ffugZG8PAUlJsuW8w9tUJAqV2msatoCkZI9zzS5kTUzAKyyMyufPP+g8lEdEoC4t\nDcpjx/YEZTk9OLExJwcPZ84ElZ8fMsbG0J42DXIWFpAzM+PoiXVbZSWElZSg7u4OWTMzSOnrc9We\nbVA7bJeLF9GUn99zA69JSEDurVsAQYBXWBiWP/yAEdOns0rrOxh+/TXkLCy6vcP4eBQ/egSCTgev\nkBBkTEyg6eWFETNmsMU2r7AwdGbNgs6sWT0Ps+q4OFTHxaEsPByvrlzBtKdPwejsRH1WFkbOn88W\nHf2lpaQEIfPng0dAAHKWlj3F4VIGBlzT7UHa0BBuly79a+BMxpkzSDlyBCLKytDw8oLZ6tVky0Rp\naChUxo1jaQSiKCgI8Xv3QkhBAarOzlBzcYG8lRVXFlAyGQyUPnmCEdOnDwlHpzo2FlRe3p6aEwqF\nApMVKwB0pyDWpqSgOjYWtUlJyL50CbSmJjifPdt9usdCmouLu9MZPnF4BAQgrKjYU+PBChg0GgLc\n3dFeXQ2gu8ZI1tQUOl98AVlTU0jo6r5zH5O3skLum4GiQiQUQ/cHyZEjIaqmhpKQEK52HrpaWvB8\nyxZUPHsGRmcnpAwMYLRsWXdHvUE2AlB2dASvsDBKQ0IgsWwZixT3n7bKStS/etVr+2kKhQJNLy8O\nquodens7quPielqUNubmAhQK1N3dSW0lThAE2qqrIWthgcqYmA+eKo3eto2tJ7IEQYDe2tpr1yUJ\nPT24XroEmVGjWDoojkmnozE3F69TU/E6LQ1WP/7YqzNgvWMHy2yzg0E5D1QeHkjq6kJSV7cn6t3V\n2oq69HS8Tk2FpJ5er9d/LC/yYwhKSUHNxaWn7za9owN16endzkxSEtprawe8dn+gUCg9w0Xe5nG2\n19RASFYWpWFhALofYP+lq6WFY63D3iKqqgrP27dR+Wa4X9qbwmt+cXHIW1tDccwYaE+fzhW5wIJS\nUj0FUAwaDdWxsSgNCwO9tZVsad0PlqwsGCxZwtJ1defM6Z6MGxqKktBQ5Fy71jMxXc3FBUr29v8q\nACaTmoQEdNbXQ9XVlWwpfaIqNhbSo0a9NyWRR0AACm86vgFvCvT6kG5Tk5SEzro6SOnrQ1hJ6aP3\nM2ZXF1orKobFyQPQXffQUlLSp9fSOzrQUVvba4cUHn5+GCxaBDF1dciYmvYpKvn2pKkmPp6l06bZ\nAYVCgZqrKwoCAmC1dSvXBHT+C6+ICChUKkxWrICaqytLi815BASgaGeHsqdPYcRB54HJYOB1cjLK\nIiJQ/vQpGl69Aq+wMGZERXFVxPd9VMXGIu3Eie76yq6u7snEdnYY9c03ULCx4Xj0nmAy0Zifj5q4\nuJ70n7bKSmh6e6P08WMw6fT3nkqx2nHo2RO+PaVMSoLkyJFwPn36g9dQeXgGPWeBIAi0lpd3Owpv\n/tRlZIDR3g4KlQoJHR2019RAVEVlUHbIhOW5PXwiIlCwtoaCtfVHX5t36xayLl2CtLExZEaNgoyx\nMST19Aa8ceUVFOypm+gLrRUVKPD37061GjWKpUdSb9NTahMTISQn994cyOC5c0Fva+uZYCxvZcX2\niYIUKrVnroTBwoU9heqVMTGoiolB6rFj0BlANwR2w8PP392etg/ROCaDASaN1qd2wQOlLCICFB4e\nKLM4Okjl5e35/lhs3oz6rCyUhoSg9MkTFN67B3VPT64pmCoJCYGQgsIHj6C5CYIgUBMf3+eTSAqF\nAnENjY++Lv/OHeT5+gLoPo0U09SEuJYWxDU1Ia6tDSl9/X/NNmmtqABBp5PmPMz7+msICAnBx8cH\nPj4+bLcnpq6O12lpPf9PEAQ6Xr9GS0kJmouL0ZSXh8Y3f1pKSyGiooIpjx71uqZ+P09xheXlIaah\ngarYWK53HgBA1cUFmefPozYpibRhUR8L7FEoFDj+8cf/sffd4XGU99ZntveiXUmrXfUuW7YsF+Fu\nDDbdgCkBQ+DjkhCSC4FQQgi5Hw+55N4QkhtKIBBKCKEl1/QEbCAYXHAvsiWrd2lVdqXtvX5/vDNj\nrSXNrqqVe7/zPPusJWt2Zndn3vmVc85v1vZv2rABhx59FAG7fVYD37DXi76vvkL/nj0Y2LePnVGU\ntW4dFtxxB4xr1sz7xAEg93W+WIwlDzyArNWrz5nLT/Nbb2Ho4EFYjh1DyOkEJRAgraICeZdeivSl\nS8ETidD18cdwNDfP2iyVkfp6dH3yCYZra2FvaEBsFBul6NprU4pNp4vA8DA+pnWAcpMJukWLsPju\nu6FbtAhpFRXzpgA4HZxTZa26uBiZK1dipK4OPZ9+ilgkAorPh7q4GLrKSmTW1MyquM3d1YXGP/0J\nYbcbAKDMz2cTCd2iRTPCMbOeOAF9dfW4F3LVvfdi6MgRWI4eRdff/454LAZpRgbRb1RXI+fCCyEz\nGKa1/2QYLVTHXXeRCatJeKoRv39WA/PpYuTUKXx5++3IWL4cxrVrkbV27Ywvpuavv0b60qUQqdUz\n9ppng6IopFVUIK2iAot/+EO4u7sRC4dnbX+TxcDevTCdf/4/hfDX1dGBwMjIuB3A6aDm5z9H5Q9+\nAEdzM1ydneTR0YHB/fsRtNuRd9llWEPPAAHO2LQyldp4PI6IzzdnwwTfeOUVZKSQFM0UFDk56Pr0\nUzYYbd++HYd//nP2/2VZWVAXFSH7ggugLiqCmsMTfzr4Z9I96KuqINZqMbBv35wmDxGfD0NHjsD8\n9dcY2L8fl7333px3xhkY160D4nEM7N07q3SbsNeLAw8/DG15OUpuvBGmDRuQVlk5bzo+8VgMjpYW\nVlc6ESZTNJ1N9H35JQCg9OabkbFsGatzYBANBsETCmE9cWLWkgdnayv6du2CvqoKBVu2zLgONuhw\nIDA8zLlWSdPTcf4f/oC0ioppDYOLRSJwdXTA1tgIe0MD7E1N2PT661N+vZnEtD7Ntu3b4enrI5Xs\n8nIoc3MnFUikL13KquejoRAcLS2wnT7NPkJO56wmD4ZVq3Dd/v1w9/SQ1tKpUySR2bEDsXAY4rQ0\nXLNnz5SDzmgohJH6+gnnO2RfcAGyL7gAAPGHtp44AcuRI7AeP44T//gH1IWFs548nI1kyVIsEsEH\nF1wAucHAdkvSly2bV1xiRXY2ltx3H/r37kXt00/j+JNPQm40ImvNGmSuXInM886bVjUr4vdj6OBB\nli8/V1CmEPQ52tpgb2hA1tq1s+aaARBHLHd3N5Y88MCs7WMmYT12DBSfD/2SJTP6uhRFQZ6VBXlW\n1hh7zaDDgWggkPA73+AgQFEsHSpos+F9epCdND0d0owMSPV6SPR6iDUaiNRq5GzePG+ur8EDB+Af\nGUHQZkPQbkeAeR4Zgd9iwdKf/AQ5o2hscqMREa8XYY8HIqUShjVrsO6ZZwjNMzt7zpKmjBUr0P7e\newg6HPNS2DoaFI8Hw6pVGPjmG1Tde++s7Scej8PZ3o6BffswsG8fLEePIhYOQ5GTg+wLLkA0GDxn\nyYM0PR1plZUw7949q8mDLCMD1+zdO+e0nokQj8XgbGvD0JEjGDp8GJYjRxByOpF3+eVY8+ST5+aY\n4nG4u7sxUl+P/Msv54yHLnj1VW6LXrEYaQsXwnriBMq+/e2UjyESCMDe1ISRujroq6o4p7AXXH31\nuDbAU0HI6YStoYFQ8em41Gs2Q1tejkvpjvNEMK5dO619e8xm/P2KKxALhQAAitxcpFVUTOs1ZxLT\nSh68/f3o+vvf0fDKKwAAvlQKTUkJtGVl0JaXI33ZMmhKSlJ6Lb5IRCr+oygQyTzJo8Egjv3qV8QK\ns6IC6uLiSQtcKB6PUAzy81FAT8iNhkJwNDfDNzSUNHEIuVwT0p0Yiy1mlgUXREplwpyJaCiUdN+O\ntjYgHp/TqYXxWAzLHn4YlqNH0b9vH1refhsAoCooIHa1K1bAtGEDRErlnBzPeJCmp6P81ltRfuut\nrICsf+9eDB44gLbt26HIycGVO3dO+fWHjhxBNBiEkUNId64weOAAjj/xBEBR0FVWwrh+/Yz7dQNk\nXgLF589JC3gmMFJfD3Vx8ZwFqwDGDVJ9Q0OQ6vWsAJ4vkWD1k0/Cb7WSh8UCv9UKe1MTcR1zOqFf\nsoQzeWh55x00/fnPEEgk4IvF4NPPPKEQFI8HaUYG+7dHHn8cCokEsUgE8WgU8UgEsUgEsWgUukWL\nsPynP+V8T3vuuQcRnw98iQRirRaStDSItVoocnORsWLFGL0CkyT5hoYgUiqhMJnOCc9XRwcbttOn\n57UQmUHWmjXo3rFj1mg70WAQf7/iCnj7+8EXi5FRU4MlDzwA49q1UObnzwsDBNOGDWh6/fUJ+fET\nITAygsEDBzCwfz8CNhs2vvgi59/Ph8Shf+9etL//PixHjiBot4MnFEJfVYXSm25CZk3NnA4WZWyP\nGY3AcG0tgg4HQFHIWLYM8qysCbdN5bxJr65O6EaejXgsBldHB6sVGK6rg6OlBfFIBDyRCNUPPsiZ\nPMzEudvz2WeofeopVq8lkMmQtmABcjZtQtrChUibBlU3Ho/Db7Ui7PFwuonJDAYsuf9+pFVUQFNW\ndk5jqvEwreSh6t57UXXvvQjYbHA0N8Pe3EyGWZw8ifYPPkDZzTdj6UMPTfn1k50EfqsV1mPH0L59\nO5liKhBAXVgITXk50srLoS0vh766etLUIz5t0ZVsYm4sGsWHF14IkVrN/r1+8WJoKyoglMsxXFsL\nvkQCbXn5pPbPHEMynH7pJXR/8gmESiWZlr1kCXksXjxrFSO+SJQwxdFnscBy9CgrjGp/911s2bFj\n3pzoAqkUxnXrSBscJIjxDgxM6zWHDh6EzGCAah7aCJbfcgvyLr0UA/v2oX/vXjT9+c+oe/55iLVa\nZNbUIPeSS2ZkgM3gN99Av3jxvPmek8F2+vS80Gb4h4YgHSXCFsrlnG4tqQx1UxcWIufCCxENBhEN\nBhEJBBANBhELhxGLRBANBtm/jQYCgFhMkgs+H5RAAB6fD55QyBkUMLj8448hVqtT5uwynVPf4CA0\ns0RJSgXKnBwIlcp/muTBsHo1GW534MCsWGjyxWKU3nwz61s/HwwyzoZh9WrUPf88bA0NnMFiyOnE\n0NGjGDp8GEOHDsHZ2goA0JSWImvNmnM64TxVeHp7EbBaUfytb7HJwlxTg/1WK3bfdRfszc3EtVIu\nh37xYpRs28bGFTOhC01fuhSNr70G38DAuFrQXXfcgaGDBwGKgrqwELpFi1B87bXQLVoEdUnJtKnk\n8Xgc8ViMk5omzcyE6fzzSaKwcCFU+flTOoeioRBcnZ0kPm5qgr25GY7mZgTtdmTW1ODC116bcFse\nn4/yW26Z9D7nClR8lkaORkMhRAMBzpPN09eH5jfegKasDJrSUqiLiqZ0wUT8fjhaW8mX09gIe1MT\nHC0tiAYC2Lp796y1/GPhMPp27TqjqD99OkFNH/H5IFKpcMn27bOy/7DXC1t9PayjKgQhl4sdZlJ6\n000pzX6YSQTsdog1Gs7ELzAyArFWO28X9JDLhQM//Skya2qQsWIFNGVlCQvNjuuug7qkBKt/+ctz\neJSpIRYOw1pbi8EDBzB48CD0VVVY9pOfTO81IxG8t3Ytyv/P/8GiH/xgho509hAJBLC9pgbLf/Yz\nlNxwwzk9ll133AGhTIZ1zzwzt/v96U9x4RNPYKizExmjBNyzjVg4jL9UV6PmscdQfN11c7bf8fDl\n7bdDqFBg/bPPntPjSBWfXH01dJWVWPmLX6S8DUNFGjl1alZt0ucCsXAY765ahYV33jmhtaf1xAl8\nccstZFisyYTM885DZk0NDCtXzovhoiG3G8O1tVAVFHC6iM0HxCIRHH7sMVIEXbIE6uLiGdd+hJxO\nRIJBfLhxI9Y980wCxZHB4IEDAEUhbeHCaRen4rEYPL29sDc1JegGKr//fZTedNO0XjsZGl97DSef\nfhqxSAQAIM/OhrasDJqyMsLOqaiYVBc2EgjA1dExbwbFTY+2NDDAtsXPDhb5IlHSDNFvsaB/3z40\nv/UWEI8DFAVFdjZJJIqLoSkpQc7mzUlblgKplFTeR1UnYpEI3D09SROHrk8/RTwSIa4oBQWT8tPn\nCYXIvfhi1sGDEbcM09qJzo8/hj4FytJUIZTLyWJ53nkA6HZfVxebSMykR3GqSKUFvOeee+Bsb2e7\nJenV1dAtXjynlBIuBOx2RHw+1D79NGKhEIRKJdKXLkXG8uXQlpfD3tiI0ptvPteHmRJ4QiFrQVp1\nzz1JK9mRQADxSISzczVSV4ew242s1atn+nBnBcwAsfnSeVCtWnWuD2POwBMKIdXr4RsaOteHAl1l\nJbo++eRcH0bKyFq9Gt07d3I6H8Xjcbi7ukjVnebIB0ZGwBMIYFy/ft5oZaYCnlCI9GXLMHT48ITJ\ng7asDOc9/jgya2rmhe2lb3AQFnoqsfX4cThaWoB4HNU//jEqbrttTo8lFo3C3dmJkfp6jNTVgeLz\nsfyRRyb8e55AMKlENRn8w8OwNzbC1tAAe0MDbI2N8JrNuHLnTkh0OtgaGsZNHgwzsD7Wv/giBg8c\ngL2pCWGPBwAgzciAtqICxddfPy3tWyQQgKu9HXKTiVM/pa+uRvVDD0FbXg5NaemUEqH299+Hefdu\nOFtb4entRTwWw02nT0/52GcS05sw/fLLaPvrXyFUKqEqLIS6sPDMc0EB5NnZnJlr+tKl2PLJJ4j4\nfHC2t8PR1gZnayscra3oeP99RPx+5F5yyZSOjUdTmJKh+5NPYP76a7KNSEQ0GzTlSVtRAU1pacpB\nLU8ggKa0FJrSUuRdeina33uPDewnQsMf/whHSwvSKiqgpbUbU6UcUTwe1PTnn0rVafjUKTS8+irr\nLjUTmX4qWHL//bAeOwZrbS2a33gDdc8/T469pATpS5ag6NprZ82JIRWo8vJw4WuvIRoMYqSujnXE\nqnv+eVYAO9PC27lCMipg365dOPCTn0BTXo6MpUuJ89fSpQlBiPXYMcIBPYff0WQwUl8PnlAIdYr6\nq9mEb2go6eyI/2mQZmbCPw+Sh7SFC9Hw6qtkBs88qEonQ2ZNDZpefx1es3lM1Tpgs+HYE0/AcuQI\n/BYLKD4faZWVKLzmGmTW1CC9unpeO+JxIehwwHr8OCzHjiEejcJaW4toKDRuMVIgk6FohsSx08GJ\n//ov9OzcCW9/PwDi3Ji+dCnKbrkF6UuXzok1c2BkBJajR9lkwdbQwM5EUhUWzviwy/EQdDhw4JFH\nYG9sZAc5CpVKpFVUIGfzZqRVVECk0UBbUQF7U9OU9pHKfLDAyAgkOh0WfPe7bCw32UQ6Fo3C09cH\nZ0sLHK2tcNDPnp4exGMxrP71rzkphelLliCdI06IhkJEl8bxXtw9PQh7PDCuWwc1PVNtvmBaycPC\nO+6Ace1aONvb4erogKO1FT2ffYaIzwcAyN60CetTaM8LZLJxNQZhrzfpSXLo0UcRj8ehKS5mOxYS\nvT5l0cyG559HyO2Go6WFpTzZTp9G50cfIRaJYNHdd0+JmuFobgbi8aTqeJ5AAHd3N3o//5zlJivz\n8thEwrBy5awFabFQCGGXC6dffvnMIlNQkDB3g4trOlWMtpU7u1sydOQIDKtXz4vAlC8Ws45SALnY\n9z/8MIYOHYJ6mlNU5ysyli/HikcfhfX4cfR9/TWa33wTALkZZixbhsyVK2E5fhz6qqoZs76bbdjq\n66EpKzvnfu1hjwdhj2fOHdTONeQGw7R1RjMB5v5iO316jDPWfARToLAePz4meRAqFPANDCD/8suR\ned55SF+6dN50bicLb38/qdYfOwbrsWNwtrcDIHqZ9GXLEPX7YauvZ50Z5yOECgVyNm9G+tKlSQ0O\nZgv9e/fi4M9+BpnBAF1lJSq/9z2kVVbOWVEQIIkCRVEovPpqaMvLkbZgAeTZ2WPisbQFC9Dx4YdJ\nXy/i88HR1gZHczMJ3lta4Gxrw1Vffsmp01n+s59N633E43F8tGkTmwCJtVpoSkqQtXYttKWlkwrk\nI34/XF1dZ2badHTA1d4Od08PtuzYwdkxW/KjH03rfcwmpnX3ZywKGbtRgFaSDw3B2dGRVIQV8ftR\n9/vfk05FURHUhYUJVfdUFkO+WIzhkyfR/emnbFVYrNFAXVICdXExCq+6KqnwWaRUjvFJjoZCcLW3\nQ5TE1s/V1YWBb74hk7ZLS9k2lq2xkVQ7i4o4t2dcgWKRCFydnQktvvrduxF0OGYtkM5YvhwXvvYa\nCeA7O9mx6bb6evTs2AFZVhau3LFjVvbNYLLdEgAYPnkSrq4u6BYtmrKQaSrgi0TwdHfDtGFD0r/d\ndccdkBuNSK+uhr66mtgYzwMHk2SQZWSg+PrrWa0M24anp4S6e3vhaG7+p6FtAeRanA+Bh29wEAD+\n93UeDAa4Dhw414cBWVYWxBoNbA0N8zZ5CDocxN3Gbkfh1q1QFxXBeuLEGLtSvkiEzW+8cY6OcubQ\n+pe/4MjjjwMg1fGMZcuw4I47iKuP0YhYJIL+3bthOXZsTq/hSCAAe0MDhk+dwvDJkzjvscc4Z/pU\n3nnnrB1LyOWCvakJ0vR0qDiKVjmbNiFrzZoZ66rFIhG4u7tZrYCtoQEitZqzIMzj87Hh+eeTvra2\nvJw4yw0Pj0m0PGYzTvzmN3A0N5O5OPE4KB4Pyvx8aMrKkLV2LeK0jmAyYFyOnG1tCNpsnGMAKIpC\n9YMPsknDZArSDHwWC/5x663w9PURWj5IF1ZdVISsNWtQfuutSWPceDyOwPDwmRlCnZ1Y9vDDkzqO\n2cK0kofunTthOXwYyrw89iE3mSAzGFKqrvmt1oRWH0B4aQz1SV0ym3V3AAAgAElEQVRUhLzLLuMU\nXTMZZiwahbevj7SXWlvhbGuD5fBhZNbUcCYPE7XA+CIRtCl46tobG3Hi179mh3dJ9HpoSkuJq0p6\nOqEkpRD88wQCkoCUlAC0k1E8FhvjE3823D09aHn7bVaEoy4qmpJdrbqoCOqiIhRefTUAkjwxWTcX\nOj/+mFzUJSVz1ibv37sX9S+8AIBUfNLoLgnzkI2yppxJMML84iSi22goBIXJBOuJE2h/910ApHLB\n6Dv0S5ZAt2jROa+EpwKZwYD8yy5j27P25mbsuOYaZExwI4/HYujesQO6yspZn5aeCmLhMNydnSiZ\nB1PTGd7//7bOgywzc15oHiiKgrqkhK1sn2swluBMwWb41Cm4OjoAgKzFW7dCX10N6/Hj5/hIp45k\nFJOstWux7tlnkV5dPe5cGp5AgLTKSozU1c3eMdLFM9vp08Qa9ORJ1nGIL5EgbeFCBOz2WR0IyiAw\nMkKCdUYr0NjI2oVW3H47qjnm6ggVimm7LFqOHUPHBx+wFX6GDaHIyYG2omJGhmzGIhFW9GtvbISU\ndkJkIJBIEHI4YFy3DprycmhLS6EqKpqUIxgzn8HZ0QFnWxucbW1wtLUh7HIBACQ6HfKSzKwYzwUv\nFonAYzbD1dEBgVTKSQWTpKUh+8IL2dhKVVg46Q5Q944d2P/jHwMAKD4fipyc/xnJQ8jhgOX4cXR8\n+CF7klF8PuRGI5S5uchcuRILbr99wu2Vubm46osvEPH54OrqYts5ro4ODB48iNb//m9kjyOoGQ88\nPp9NYMYT4UyEjg8/xKlnn4WqoAAqWqvBaDfGE4KfjbxLL0XOpk1w9/SQpIVOXty9vYiFQtj7ox/h\nqi++SPl4RoPi8ZJaIvotFph37yb0kngcFP05aMrKoC0tZTP1ybom8EWipO4QEZ8Phx59FLFwmMzL\nKCwkdKvycmgXLIC2vHxW2qWL774b5bfeyi72I3V16PjgAzS8/DIA8p2s+c1vZny/9sZGIrxN0sni\ni0SoeewxAKRqNHzyJIZra2GtrUX9Cy8g4vfjonfemRVK2Gxj5NQpUDwe65t/Njy9vdhP2zOLNRqk\n0dS3tMpKpFVUzDnX3N3bi1gkkrQDOBfw0cn4PwPffiYhy8gglC2v95xTa9SFhbDMg2C8b9cu7Lv/\nfrJ20lq5jOXLsfCOO5BeXQ05vfamL12K9nffRcjpnJPgdTqIhkJwtraemRFw8iSKrrkGC7773Qm3\nUWRnJ73P6BYtQudHH8304bKI+P349OqrEY/FoMzLg66qiiRuVVVkMvEkTFSmgz333MNOaBYqFNBW\nVMC0cSPSFiyAtqICqjlwSfMNDcHR0gJNWRnyt2yBtrSU3MencO6F3G5C06GDd+bfhpUrsfI//xMC\nmQyO1lbWRp2BRKfjtDBNBQMHDuCbBx4ATygkMV1JCdENFBdDXVQ0LpXqbDjb2jBcVwc3U/Xv6oKn\np4d1TzJu2MCZPPAEAiylA3+AdsdsbIS7u5t95F5yCTvbazxkLF+OdXR8qsjOnlcFx2klDyU33oiS\nG29EPBaDb2gInp4e8qHQz4GRkaSvMXjwIBQmEzRlZWMsqJiFlQuHHn0Uw7W1UObnQ5mbCyU98E2Z\nl5dSq0lbXo7CrVvh6uyE5cgRtG/fzp4cArkcGcuX4/zf/57zNRh6krqoCLjkEsTjcWyvqcHC738f\neSkIvo//+teEalVcDHVhYVKh+WhkLF+OK3fsQNjrJaJzet6Go6UFA/v2ARSF6/bvT+m1JguBTIbr\nDx2Cs62NTGGkKya9n33GJpOb33qLUzQ0VYhUKhhWrWKdGRi63Eh9fdKEKxaJIOzxTHrS7EhdHfhi\n8aT86kUqVcKciVgkAmdrK+doe4DQ4QQy2ax1UaaKkbo6qEtKJgwClXl5uPabb0gF79QpjJw6heY3\n3iAWwiCB8yXbt89ZAO1sawOApJ/3XCBos0GoVM6rG8BcQExXlIN2+zlPHlRFRWh/771JDx6bDKKh\nEHFp46gCa8vLUf3jH0O3aBG0ZWUTdosZ3cNwXd20J9bOBvq++goD33wDW3097M3NiIVCoPh8aMrK\nYFi9GroZGG6mW7QIDS+/PGmzgXg8Dt/AAPxWK+eQNaFcjk1vvAF1YeGMzDE4G7FoFJ6eHijz8jgp\ntoVbtyL/8suJhWd29rTpuP7hYVYrYG9pgaO5GZV33sm6Q46H0V3mqeL0yy+j5Z13WJMEiseDIieH\nZTakL1sGiqKgKiiAq7Mz6euFvV64OjpIcbmzE66ODhRs2YKczZsn3CZrzRpc8emnUJhMU77O299/\nH01//jPkWVlQFRTAsHo1VDfdRArNBQUJwzcnwonf/AbDp06ReHh4mP29SKWCMi+P1QdPBElaGpQ5\nOXB1dMD89dfw9PSwhclzjWmtnh0ffojunTuhyM6GMicHipwc6JcsQf4VV6Q0RCjkdmPXd74DgGRp\nipwcKHJzSRJAdxGSDTzLWrMGfLEYrq4u9Hz+OaFA0fwygUyGsm9/G1X33jvh9mkVFQmiZrYt1d5O\nTuwUxmD07dpF+IiFhRDK5fBbLIj4fKTdlpfHuW08FiML7yhLMZ5IRKZe0zqQvMsuS1p1ENIDXUZX\ns+PxOII2W9IEqvapp8ATiUgCVFwMZW5uygEOM25+NDUrFonA1dUFe0NDUlGRo7WVrQxPJ6iiKCpl\nupyztRU7rrsOcpOJfP8LF0JLP4/XOmcwUlcHbUXFtCpRPIEgJTrc8SefRP/u3ZBmZEBXWUmoWbT4\nbbJJz0zC3tSU1GdarNEkJEzxeBxesxm2hgY4Wlog0ek4t/cODECs0cwIDc7Z3g6xRsMGsOcSQbsd\n4nkwzXauwdg3B2y2c+51rykuJmt8by8nfzxVhFwuMhyVNtuwNzXB1d6O8n/5F06xo9xoRFkKuiFl\nTg4EcjkcTU3zM3n4xz8wfPIk0iorkX/FFUirrIS2rGxGKaxMp3ekrm7C5IEJ0JkCFjPzKWi3Q240\nJu3+z1SBK+hwsMJeR0sL7M3NhP4TCGDLjh2crkvZGzdOe/+nnnsOw7W1cLS0sMVbvlQKTUkJ9IsX\nJwyonCxCbjdcHR3QlJZyfr/K3FwUXnUVW1BVFhSMSzlSFRayNL0x7+P55zF84gScHR0JTm3scNYk\niZVIqYRIqSSaAZsNrs5OuLu6zmgHurqw/plnOItKlXfeicX33DPm2COBADy9vXC2tye1Kw97PJBl\nZiKzpuYMvT83N+V7eNDhwKe0m5hAJpsT165UMa3kQSCTgScQwHL0KKEu+f3s/0l0OhhWr8bqJ56Y\ncHuhXI4rP/ssoY3j7ulB/5498JjNiEciuOjttzmrBqPnLABANBiEp7cX7p4euLq6kt4gQk4nWv7y\nFyjz8qDKy4MiNxcq+t+pIBaNYt8DDyAWCgEgJzcTqNhOnwZfLIZu4cIJ234Uj4dNr7+eIDR3dXSw\nDlZDhw5BX1XFmTxMxCulKCppoAaQ6uxIXR272FACAVR5eaQTUlyMnIsumlS1nScQEPerFLY5/dJL\n6P70U1B8PlQFBdCUlrKDVDSlpSlRxyYLWVYWVj/5JCtOb/jjHxF2u8n/GQzQlpdjzW9+M2aBHKmv\nnzOh5Yr/+38xcvXVhJpVX4/G115jj1GRk4MFt9+O4jnm8cfCYThaWsaIN5OBoue3KLKzU5pufeDh\nh2E5dozMfKGNDxh3C2Ve3qSSTFd7O9TFxedcewGQ4JkrOZ0L3PLd70Isk2Hbtm3Ytm3bnOxTTK9B\nQbt9TvbHBRVNX3O2tU0reTj+5JPo3rGD1YXxxWKoS0rINNzrr0fGihUzcrwUjwdtWRlsU7S1nCzi\nsRjcPT1sIlRx222cgc55jz8+64YVsowMSDMzMVJXNy4lueezz3DwZz9DhI4/ZAYDtBUVKNm2DWkL\nFszJfBefxYLPt21jTRF4QiGZVVVaivzLLoOmrGza3dZIIJCU9+/u7oZAJkPxDTcQ2nJpKRQ5OSl/\nRwkC3a4uuEbFI8x72/zGG5zi9bNjsrPfg29wkBRHCwrQv3v3uPGLf2gIQrkchVddxWpglfn5KXcu\nQ243dn33u/D09LBdb1AU5CYTVPn5MK5dm1QbGotGYdm/n2XSMA/mc+CLxfjW0aOcn23NY48hGgrB\n298PT28vMaPZuROevj54enuhr6ri7CRIdDpsfvNNKHNzIVQq54XlNYNpJQ+qwkIUXHklFCYTZFlZ\niEUi8JrN7AeTTLxD8Xho274dYq0WCpMJ+iVLIDcaIVKrEY9G4e3vT9qmrH/xRXR+/DEbnChyciA3\nmaDIyUHGihVJOffewUE0//nPCDoc7O+kGRkJIvCSb31rwvfC4/Nx7b59ZzLajg6Yd+8GADS8/DJi\nkQg2PP980qBzdOX87Gw22WCvptdfR9Prr4+dtVFYmBJ1i3FHCNjtxE6MFhc529pg+ctfoC4qmlTy\nMBnUPPYYSm++mVRq6NHt5t27WevYouuuw3k///mM7lOs0SD/8stZQVQ8FoOnr49Qr06fhqe3F/yz\nFumQywVPby/S6BvRRL7jMwXGyYwJtuOxGNy9vbDRjliSJFaAsUgEoKgZnRDq7OhALBxOqXMyHSx7\n+GEyJZ6e+9Lx0UdnWuACAZbcd1/KA5ec7e2zOqhxMgja7ec8eXjjlVfmdMI0ADb4DNpsc7rf8SDR\n6SBSq+Fsbx9De2A6ta7OTqQvXcoZFCjz81F49dVQFxVBW14OZX7+rNGgtBUVGJwF6mksEiEFlKYm\nOJqaCN21uZkNwqWZmci96CLO5GE2E4d4PA6/xQKeUAjdwoWwNTSM+3fqkhIsuusuaCsqoC0vn9HO\nLEN9ivj9nLopiU6H/C1byJyosjIo8/Km3KFmKMijdQLOtjaEXC5cf/gw5/18za9/PaV9Moj4fPiA\njlUYga6qoAD5W7awzIRk+rFYOAxPXx/c3d1wdXWR4Luriw28eQIBvnXsGFQFBQi5XOOui+f9+78n\n/Mw4JdkbG+Hu6YFQLuekXwkVCmjLy5GzaROUublQFRYSRgWdMMRjMZaePhGGa2ux54c/hEAqZWNB\n3eLFbPdAmZcHJImtjv7yl2hhhiCDFFblJhMU2dlIr65G+iiHz/FAURROv/wyHC0t8A8N/c8ZEtf7\n+eeoG2XLJZBKITcaITMaoTAak1a9Y+Ew4XGZzQldC4FcDoXJBLnRiIV33skpLNUtXoyg0wmv2Qzr\niRPo/NvfEnhkWWvXYuMf/jDh9tqyMlz7zTcIOhwJJ7mruxu2hgZ079iBkiTuOiGXC3KjEWkLF4Ki\nKIQ9HsQjEVz6/vvwDQwkpUy0bd+OlnfeYbUajHZDmZcHsVabNPhPr65GyOmEc5TQnLEyEyqVMK5d\nm5KAWKLVQjJqrgGDZMlLx4cfovFPf2KHAzLic2VeXtJKgVAuHzNMJR6Pw9vfD0dzc9LPLuR0onvn\nTnZRm8qNg+LxyGeemzuhRoXhzjNJ1Bff/jYCNlvCuHlNWRkUOTkzGrCPPkamI8ZlMcegf+9efPPj\nH5NODjP0kHbjmqojh72xEQC5ZmYT2oqKMQlKyOlkE9pkyYuntxc9n30GRW4unB0dyN+yZTYPN2Uw\n58s5QQr0y9kCXySCUKlEYB50HiiKgjIvD5Zjx9D+wQdEpzdKq8cULa787DNOitVcundpKyrQ8vbb\nMy44j4XD+OLmmwGaf84EW9rycmjKyuY00Q17PKxToqOlhRiPtLQg5HKh6kc/grq4eMK5AIzV93TA\nJCqjxb2O1lY429sR8XqRWVPDKeLl8fnT9uS3HDuG/T/5CXzMTBS6Y6suKkL+FVdAXVyMeCQCKsWk\nZHQy7OrogKurC2KNBgu/970JtxHK5djwwgtsMXYqBbKBAwewm56NxZdI2EA7f8sWNr4BRbHfmauz\nc8y5NnjwIAb27YO7t5e9RlnnSYpC9oUXciYPFEVh6UMPscXswf370fbf/00K23198JrNWPLAA5zU\nQcPKldj69dcQabUIDg/DYzaT1zObYT1+HF6zGauffJJzpkf2xo3Q0t0fiU6HWDQK/9AQvP398A4M\npKT5UBUUQFNSwhbW5wumlTzkXnIJFDk5AEgVI+hwwDc4SAL52lp4+vo4A2+eUIjF99wDoUIBgVyO\neDgMv8VCWjxmM7z9/UkrGyKlEnKDgfhCm0yQZ2UR21b6pEnW5ovH4/j6+9+HLDMTiuxsyLOzYdyw\nAaU5OWwgmix4P/bEE+j7xz8gkMuhzMmBz2KBUKlE+3vvkWBSJOJc9BU5OdBXVcHd3Y3hkyfZthgA\nCFUqZK1ahbW//e2E2+urqhKoXbFwmNC2Ojrg7u4GPwX+acvbb0OWlQVVfj7kJlPCopHs/StycpC+\ndCncnZ1oP34cfquV/T+ZwYCMFSs46Wtng6IoKEwmzuEpDJydnTj6H/+BeDQKgFSA1EVFUNHdElVR\nEdKXLJm2Y4ajrY2lVgHAgu98ByP19XA0N6Pj/ffZ98yXSqEuKkLlnXcmzD+Za6iLirD47rthb2qC\n9fhxtL/7LvsZybKykLZwIdY9/fSk6Dz2xkYocnOnbQc4FYjU6jGzWCaCq6sLp195haV51f72t2h+\n4w3IjUZS9TGZsOjuu2clyeNC0GY7d9oL+ntOVgiYLYi12jnpPMTjccQjEc7rXaLTwfzVVxjcvx8y\ngwHK3FykLVyIvEsvZQs388lON628HIjH4WhpQXqSLlpgZIQNeimKQulNN034twKpFJe+9x4UubmT\nssGcaXz9gx+gf88eAKTarcrPh7qkBOWrVkFTWgrdokUYoidpz5br1Klnn8Xpl14CQAJeVWEhoexe\neCFLP5oKYuEw3L29cHV2kgIjR+GDscVm6MKqgoJJa0fMe/agZ+dOQjnq7GStSSkeD/LsbGStWZP0\nNRj3nxjN/nCPTrC7upB78cWc1NX0qipc+Mc/QpmXR2jHo2K4SCAAL01JV+TmguLx4OroGLOuW48f\nR+8//sHGFoVXX83qYRXZ2SnZ0e+8/nq4u7sBkPuygq74Z61eDUVODjJraji3D4yMYNcdd8A3MJDQ\npRCnpUFuNEJhMrF09Qlfw2ZDyzvvwNvfj5DTyf6e4vMhy8xMycY/4vNh6NAh+AYHEQ0GUzLhmQtM\nK3no+/JLnHz6afZnvlgMaWYm5AYDqXImobrE43EcePjhhE6BRKcj9J2sLChT4OrZTp/Gyd/9LqFz\nIVQo2EBBW1bGGcRFAwEI5XLYm5rQ+8UXZ/hxIJoORXY2an7+c87uR9W996LgiitIltzbC9fHHyMW\nCrFBbfH113Py2gwrVyZYfkX8fqLboNt+Z1NoxkP9H/4AiVZLROc5OVDm5aVsTxkJBFD71FPs90Dx\n+Sw3UJmXB1V+PkwXXDCh88/ZQV3I7U4YapJK4N6/dy+kej0JTidRXUtfsgTfOnoU7u7uhFav5fBh\ntG3fjng0im8dOTLt5MHZ1pbQ9jyb1xmw2YhArqkJjpaWpO8h6HCQjpXJNCtBrDI3N4HaEw0GE1rg\nEb8/aeLg6u6GVK9n34uzvX3KN9G5hHHdOlx34AD6d+/G7rvuwqK770Y8HIanvx9esxnO1lZOEwWA\nmCBEg0FIMzII5zojY9LzU85GwG5nxcP/2yBJS0NghpIHpnrot1rPVPEGB8lzfz8KrrwSK/7t3ybc\nXlNSguGTJ3HVF1+c06A5VaiKikDxeHC2tiYkD67ubgwdOMB25JxtbayuhCcUwrB6NWfyAGDWrmdm\nqq6np4ezQgwA+Vu2IO+yy6ApKYGqsHDcajfT8XW0taVUQIgEAkQgS/P2C668krOTlHvJJdAtWsTa\neE5lTbadPg17Swup8tP3Pk9vL1u0qbj9ds7kQWEyYcn994/7f2GvF+6eHsJ957i3+AYGiNYzLw/Z\nGzey2gLFJExQDv/7v2Po4EF4zWY2aGYt+PPywEvyOkyxcmD//oRKv6evj3UcYqzKpRkZCXO+GCz6\n13/FwjvvRMBqZa9rZ1sb0cP29SEWDmPTn/7EeRwrHn0UfIkE8qwsxGMx9nW8ZjMcLS3gi0Schi7i\ntDTkbNoEuckEqcEAgUiEeCyGgM0G38AAvP39CNOdyglfQ6OBrrISOZs2QaBQgMfnIx6LIeLzwTc0\nxBa4uCA3GpG5ciWEMllS99G5xLSORFtRgdxLL4VAIgFPIEA8Hkc0GCTWWt3dCDocWEC7KY0HiqKw\n6O67EfH5QPF4iEWjiPr9bAdjYP9+ZK5cyenuklFTgyX330+0DRSFWCiEgN0OH32iuOjMcyIIpFJk\nnncejOvXQ2YwQKRUIhqJwD80RE76vr6kVBhPby8GDx6E3GhExooVaH//fSz47nex4DvfgX9oCFSS\nhcjT24udN9xAqqJ00sN0UYzr1yetwMeiUXR88AG8/f3sQkUJBJBnZbHJRMkNN0xImRBIJLj+8GH4\nrVZC2+rqgouuMgzs24eWd96BuqSE0zY07PWC4vMhkEggUirHOD9xHn8kgt13381SraTp6aTKwFC4\ncnORsXz5hDQ4ZhE4eyFghErJqjfHfvUr+K1WkizRVr+q/PyECruzrY2b85qWNiYJ5ELv55/j8M9/\nDr5YTGhetDOFuqgIqvz8SS32qYAvFiNtwYKkTkmj8Y9bbkFgZATSzEyo8vMxUlcH3eLF6N+7F6r8\nfMiMxjmv3qcKiqIQot3Lym+5ZdJ0j8Y//hHWEycSfidSqyHLzIQ0PR35W7agYBJ0qIjfj6jfPy9c\nn84FxFrtuILpeCxGeM8OB4J2O0JOZ1J92LFf/hLmr78GQGiZ8qwscoNdsQKyrCxOgw2AdEpTcaGb\nL+CLRJCbTGTa7igMfvMNjj3xBJnrU1KCzJtuYqvWytzcWdNgjEbE74e9sfGM0Qf9PNr18NpvvuG8\nh6ZiDarMzwfF58M5TvIQi0TQ/t57LDXH1dmZsH+xVov06mrO5EFLU08nQrJhdwBQ+/TTGDxwAHKj\nEaqCAhjXrWNnR6kKCpLTuKNROFpa4O7uPmN7T9PpGDOTjS+9xNk9KLnhhgS2ByOAttXXw93bi8DI\nCOfsLYAMdTSdfz6rIVXk5BDLU6GQxHhJBtdGg0F8efvtAEVBlpkJuckEZW4uDKtXk+o/bdsKEG2f\nl6FpjULXJ5/gwCOPJEySFqnVpOKfnQ1lbm7S72Rg3z70fPEF/IODiZ0DrZZ8R0mobnyRCMO1tawx\nQjwWO/MaaWmQZ2UlFJvHQzwWQ//evfBbrWxsBpB1S2YwQJaZiWgkAj7HtWpvbkbPjh3sz9Olx80U\nprW6RLxeePv74R8aGvPh8ESilAKVjvffh6ujI+GL4QmFkGZmpuRxb6uvx4lf/Srh5OBLpZDT3Qtx\nCr7NTa+/zra3GDAnh8xggLe/n9MiKzAyAuvx4+j6+99Zu9W6557D6ZdeIrSdpUux8j/+Y8Lt+VIp\nKm67jaVqmXfvhre/P6ElxmXzxuPzceXOnYiFw/AODLCCdeYxcvLkuNMSR8PT0wN3by8UJhN0ixcn\nVOSSCYsA8hnWPf88ZAYD6Xzk5p7pgtD/nki8zhMIsJX2MB49J8TR3IzeL75A2O3G+S++OGaYzGiM\nt5DwacvbZBAqFLA3NMBy5EiCF7NEr4cqPx/F118PZ1vbjLob5Vx0EeTZ2WynxNXejv69e9k2s9xk\nwlWffz5j+5sK1j/3HGtx52xvR8Tng+XoUQwdPAgAWPmLX6CQtpGbj/D29UGs1U6JJ77pjTcQ9njY\ntc03+tliSXpNuLu7seuOOyBSqSBSKtlqXc8XXxAzCaUSBVu2nFPb3ZlALBwmBSOPB2GPBxK9ftz3\nJFar4erqwvDJk6j97W8RtNtJwuBwJNw3AOCG48c5uzxLH3oISx96CNL09JQswc8GU4zxDgzMyeAt\nLjAcaCboZarl7q4uLHvkEda+U5mfD1dXV8K2hVu3oui6687p3BBnezu+uOUWQosxmaAqLETuRRex\nNuOqgoJpz05gzCmUeXms9mw0KD4fp559FiKNBqqCAuRefPEZ7V1BQcrXGBNoMzSd0fcjr9mMa/bs\n4exgr/rP/yQU7AmKVUkpg7EYPrvhBsSjUYjUalYrYFi9mqXsJDMucba1oW37dnjMZnL/7+tLCPal\n6eko+/a3Oc+ZkhtuIO95dLV/FN/fuHYt1o1inJwNkVKJKz79FCK1GoHhYXj7+9li7sC+ffAODGDh\n974H04YNkBmN43Ye0hYuxLKHH4ZErwefrviHHA54BwbgGxyEvakpqf5DmZ+P3M2bIVQowJdIQFEU\nouEwgjYbfENDSd3feEIhYXAUFxP2B4+HeDSKaCCAwMgI/BZLQrwwHsQaDTKWLycdg3gcsXAYYY8H\ngZER+IaGiI2vzwc+xzVSum0b8i69FLLMzEnNOZltTE/zMIq6EYtGyQc6NAQf/UgFYo0G6pISiNVq\nYv0qFAIUhXg0ikgwOObGcjaYi0ukVoMvFoPi8RCPxRANBhFyu+Ebxb+fCIVbtyLodEIgkZDt6X2H\nnE74h4YQC4c5t09buBBZa9dCnpWFoNOJuueew+If/hAChQK+gYGkwYtUr4ffaoVIpYKmtJRkpBkZ\n4IlECHu98A0MJOXgnviv/8Lg/v2kY2E0Qm40Ql9VhdyLL4bMYEha9ej5/PMECppEp0t4LXVhIWeg\nmHvJJZBlZcHT0wNPb+8YGpiuqgoXv/32hNtLtFpItNoxVcN4PI6gw5G0e9D8xhtoePXVBCcEpmIi\nz86GWKOZsEqx+K67gLvuAkCEe67R3ZfOTsQiEQRGRiYMNIIOB4Zra8n+UuRjijUaZK1eneCsxd68\nuruTtkMB4uQglMlYcb0iOxsSnW7GKqqju0eOlhb0ffklLnz1VciysuDq7ExKeTDv2YP2d99NcEJT\nZGeP0dTMFrz9/ZCnoJsZDxRFsV7hUxkwx5dKkXfZZQi7XGQdotdDR2MjbKdOIeR2I/v88zkDm5PP\nPouWt94CXyKBQColzxIJ+BIJCaYKCrD8pz/lPI76F19EyPLNbp4AACAASURBVOXCSF0dAGKN3KtU\nIh6NIh6LnXmOxaAuLOScBgwAn1x5JQI2G6LBIKLjrM81jz2G4uuvH7OdUKFA2OMBXyRi7ZDFWi15\n0HM4mH8no0UoU7TRngjM9GZPX985TR4+3boVzo4OtrrKEwrJ2lVQgLxLL03oOKvy8jBwluPSTM5S\niNG0PsYwhAmas9as4XQ205SW4rIPPiAWytOg9TGGJayAfZRQVmEy4eK//AWqgoIxRT6AXKtb9+yZ\nVhfUeuIEvrrzTlYwD4DVw+gqK5F32WVksCBHsCpNT0fI7YatsZEN3NlCHn2unf/CCxNuzxMKcfFf\n/wp5VlbCuhByu+GlC4tehYJTHB50OjFAxwGZNTUouuaahO4BJRAk7UjVPvUU2t99FwChbjMU8Mya\nGhSaTCkVhb/63vfg7etjf6YEAtKFMBqhzM1lC4lyoxHWcSa+h5xO1P3+92N0UqNp7RG/HyKO78PT\n04Om119PKEzzJRLIDAZCRzUak76P/n37Eoe7qdWQ6vUQaTREAJ2kiBSPxdD197+z28oyMyHNzIS2\nvBym888nmpAk520qNL1zgRnra/L4fMhofjAz1CUVmDZuJG05q5VwWK1W+IeH2QXVmGQIR8jjITaa\n/f0I2mxjTjaBTIZYNMq5sNgaGjB86hQCo/YLkIqGND0dnlEXwXjwDQyg5/PPE9pjp373O/BEInLB\nZGVxttji8TicHR3wms3wDQ4mJCs8oRAygwECqZRTu6GrrETY44HXbMbAN9/AazazU54BIGfzZs5q\nQcVttyH30kvZCsFofuBIfT0kWi1n8qAuLERgeBhpFRXEFYDOpIMOBzy9vckvsngcH198McQaDStq\nZehbCqMRgiRBoH7JEhTTAilHayt6v/ySreIDQFplJS756185XwMgQY6OHsjGwN7cDOBM0HE2hk+e\nxG46+WBatQkt35wc5G7enFR3QVEUpOnpKfmBx+NxuDs74WhrS/B+5kul7NDG8ttum7GFh7lpqwoL\nIUlLS0nMjngcEb8f5q+/TuDPMp9RWmUl1j/zzIwc33jwmM2Qp3CDmA3IMjIS2svDp07h823bsOH5\n51PmmWetWQORSkUoT4EAIoEAoswjGAQ/BR2P5ehRUsyhTRisx44hIJeD4vFA8flnnikqpQpx/pYt\niMdi4IvFJJERi8GXSCBUKCCUy6GcIBhnkgdtRQVW/+pXKb3/2YIsMxMUnz9uxXMqCLndhAM9OEie\nzWZiBvLDH3Jul3/55cRZMDsbyrw8yI3GCQM7ZX4+Wv/ylxmfjF371FNkuKrZzCaCPJGIFY4nKzrx\nRaJp6yZOv/zymMIV07HOWruWpaPKTSZWWH02mPs74zDkoTn2DNfesGoVp9BUkZODyu9/ny0+KXJy\nJq2HOfnMM6zoGqA1k/T6n33BBSkF3faGBnR+9BF77/X09yfcx6ruvRdqDrck3aJFWPPkk/CNcvQZ\nrqsj1X962vaVn33GuX6X3Xorci68EKAohNxuoisaHIR/cBDDp05h6NChpGLj8m9/G5FQiD1XI34/\nifEsFuJk1dKC9KVLITca2U7u6PNaotcj9+KLSUGYohCLRhHx+xGkK/bDtbUI2u2ca5a6uJg47dF0\n9rDXS7oOFgusR4+SWPGBBzjfR9aaNfAODCDi9ZJi8sgInO3t7P8nc/7TlpVhy6efQpqRMaPJ/nzA\nOVdfjFfViMdiCDoc8Futye3iYjEM19ayPwrkckjS0kj7UCIBTyxGLBzmTB7CHg9CTieb8QsVCvDE\nYvB4PMTj8aSLtSwzE3yRCOnLlyNos8HZ3o6Cq64CQPh/TDdkogyToiio6MqNYeVKCGmaA0VRiIXD\niPh8STsPApkM7q4uyAwGpC1cCGlmJtvxiEUiSYO9aCiEHVdfzc6aYLL79OpqkqlnZiadbbDvvvvY\neRlCpZLtWjD6DZFKNaFuIB6Noujaa9nWaG9jI7wDAwnJ3Prf/W7CBGq86doh2sLX09eX1I8ZIK4f\njE0w07FQmExs4DzRZ2hctw5Xf/kl8bamK2ae3l4429pg/uorhL3epKJBv9UKgUyWMsWGoihspG9U\nYa8XXrOZFewzFa9k9pyuzk7YTp9mZ6NwdS1cXV0QqlSTmpBs2rABpg0bAJyhZ4yuxqXynRx74gkg\nHoeMnnsho6mEEp0uaaUxYLXO2nySyYKhM07GqSpVdykuXPDKKwCAXT/9KXDsGM7/wx+QOY3haAvv\nuGNK2wkVipS6aXMBnkAASVpagivcZNH5t7+h4ZVX4BscZL9b4IyLii6J7gJA0i7PaKjy88kcJQ4K\nbTQYJE6FTNBsNmPJffdxmo5IMzKQvXFjwvRbmcEw6fkNo4N2Zs1ljqXq3ns5B7WZNm4kAXtuLpQ5\nORNeIwqTiSQ5sdiY4zv2y19ikBb5Rkabp6hUhIqbxNVGqtej4rbb4KdpNn1ffskG30zVf+1vf8sp\nsM3ZtAnqkhK2cCTWaBD2eNjEcrQxzETo+PBDdiq2bvFi5F5yCXv/FMhkSddfb38/dlx3HQC62m8w\nQE67KGatWkWofkmSot7PP0fdc8+xPwtkMjYmUJeUQJFCQab9gw/goItuAOm0S9LTCaPBaGS7i/Ks\nLMSjUfgtlsRCTyyG1nfeYX8U0cwEoVIJkUoFiV6f8D2Ph4DNhs6PPoJQqST0VZq+pKTPM0EK99p4\nPE5s0gsLIdXrIU1Ph4Qu8EnT05NS6/li8bQ7pfMV5zx5GA8UjwdJWlpKPtMZK1bg8o8/ZjsWfosF\nfquVZLn0z8kqvvKsLKJ6p+lSfqsVEZ8PIZcLYY+HtaOd+IApSPV6RAMB+CwWxAF0fvRRQkt/2cMP\ncw/bEQgQ9vkwfPIk/MPDYzsoUiln5YInFEKgVBIHDtrWbvT+RWo1rksyaGjB977HUs+cbW0Y2LcP\n/uFhNgjd9Oc/cwYzm998E97BQQRHCdY9/f0Y3L8fvsFBSPT6CZMHnkCA/CuuwPDJkyikFypxWhqC\ndjt7E0pma8bMm2C0KszCyfybK/mJx+OQ6PXw9PZiuLaWHcgyGiOnTyN7HDEnxeOx+zh7RgZAgvtk\nge7+hx7C0OHDrChMbjSyQlC50QhtefmE56FQLoeGniY6GQwePIijv/gF+zNPJGIDdOaGwwQ4XrOZ\ntL2nSIni0W4dcqMxadVqNHyDg3C2t8M7MJDgqEbxeBCnpaH6gQcmtA0MjIwkHaY3V2CThxn06Z8U\nzuGcB4C877DHk5LwdLYRj8ch1mjg6uzE0KFDZ+4dVisC9HP1gw9yrrdSvR6Z552XsMbIs7Ig0etn\nRajMiH29ZjObPLi6u1H/wgtssM5MuwbOGGZU3H47p8MXl899KoiFw9hx/fXw9vUlBu1KJVuASXbu\naYqL2SQ/FokQXvuoTk7Qbkf1gw9CbjIhFg7Db7WO4X6LtVpkrFgBxdatCYWfVPUWAbsdH27cmND1\nF6pUxHTEZIJh9eqkQXc0HMbQoUPo/OijMwnDqIRZnJaW1GZz0V13wdHaSujfg4Po37OH6KyGhhCL\nRFCybRunk5hEr8eS++9HLBJBxOdDYHgYPosFtoYGmL/6CiGXC+riYs6Okr6qCqU333yG/u1wwD88\nDFdHB4YOHYJIrcaif/1Xzvdh3LAByrw8RPx+hF0u+EdGiCNiayv5LLRaFF1zDfs9+s5KHoQKBXSL\nFyPsdhN9lN2O0GiNAo+H0htvhLa8fMJj4EskAEUh7HYnuBqJ09II9SgFy9/Vv/xl0r/534p5mTxM\nBgKJhHWpmSqkGRlwtLQgMDyMwMhIAt0HQNIKFcXnY+jIkYRFMg6wWbJAJkPI7eZMHoI2G6xHjgAg\nJ73cZCI6ELkcfLEYwiSLoFijgfnLL0lVTa+HtqICIrUaQlpHwpdKEfZ4JqzqCOVymHftgr2pCdKM\nDEjT06GvroZEpyNaFIEgqWVs944dqHv+efClUjYrl6anQ71+PaTp6UkDJ8vRozj4yCNnfkEnZdLM\nTMgMBtgbG7H0Jz+ZMPiQm0zIWLYMvsFBjJw6hd7PP0+YHK7IycGVO3eOuy1FUVj5+ONsVSsWDsM3\nOAiP2YzTL70Ee3MzlBxuHQBg3r0bzW++mRCAM4EF40Q1EaoffBDOzs4E2tjAN9+QoDkQwILvfGdC\nGz+AdI78FguxFE1RT1C6bRsKtmwhnQCzmdzw6Bu3s60N7p4eNnnwWSzjirW6Pv0UPJrex5w307U0\nHQ2Gasd0kpibMlMcUE1QRY+Fwwg6HAjYbHiXrrhJ0tMhYXj2ox45mzbNujMNU3VPpdo1K2CumXOU\nRAgUCkJj8/lmPIGK06/LBBl8iYSzQhz1+9mBZIyLiUAqTagoJktwDKtWwbBq1Yy9h4jfT2Yk0YJQ\n3+Ag9EuWsJooKV3hTNASxuPw9vWRdW/FCpbXrsjOhjQjI+Vzmr226P36BgfZwF1mMGDJffdNuC1P\nKIRp/XqIaSrjZIN2gHj61z71FLwDA2OKXkKVCnKDAVX33ssmUJ6+vjFrUdktt7Brg39oCI6vvjrz\nfoaGkL5sGWoefXTCYxBrNFj60ENk3TYaWZqd32KB32KBz2JB5Ky44GwEbTbYGxshMxiQuXIlKYDR\nGh4e7SaZDM1vvIHBAwfIPS8zEzK6cMSXSMATCqFKEufwBALU/va34AkEkGZkQKLTQahUQpmfT64J\nikrKsQ8MD6Plrbcg1mpJDEGzOJT08NdUkn93RwdsDQ2k2i8Wk+tKr0csEiECbvo1mOLO2cJjvlyO\niM8HnkgEaUYGxFotIoEAMWZwu4FYDNEkWtTMmhrUPPYYJDodJDoduQfodOfUYOB/Ev7pk4eZwOK7\n78biu+8GQN+IvF74R0bYZIJrgiBAbDpH35SZAJ4nFILi8xELhxFyOACODoZEr4dEryfCSLEY4PEQ\nDYcRtloRCQTIzZcD0vR06KuqWB/geDRKqvZ9fQi6XAg5HFj8wx9y0iaM69dDmpnJVhz8ViucbW3w\nW60Iu93gCYWc7d+sdeuIXiUWQywYRMjrhc9qha2xEf6hIahLS1n3kPFQeNVVhNsdDAL0sKeQ14vg\n8DDrsMC1cGWuWAHb6dMQqVTIWrMG0vR0iNRqxONxxIJBpBI2/f2KKxD2etlAWJaRAd/QENG+9PdD\nqFJN2Krki0QQymSwNzXB/PXXrL0eA2V+PrZ88sm426YtXIi0hQvHVGYZOkAyio+ztRU7aTcocVoa\nSdyYGxAt0sq96KIxgZtQoWAnUHPBNziYMAWcQd1zz40RMYrUavbzK922bUaG5VEURYS1Gk1SnikA\ndqaAqqgIFbffzlaVAzRnlQk047EYbjx5kvO1mt96C672dghp5ySRUgkh/RDR50MyWmHY7QZfKp0T\n+8z5CGbdCXs84yYPTAIQcrlIss1xvjf+6U/o37v3jGOT3Z7gTJd94YVY/+yzE24vkMmQsXw5gg4H\n1j3zTEqFjdnAoUcfhZUeqjma+gSALdowyQNfLIZYq01IHlT5+dj85pvTOoa6F15A46uvJnQNKIGA\nPadlWVlJX2PJ/fcjGgqRKvfQEAYPHGBdyXxDQyi48kpOpzyBTEYSoOXLE+iJcoMBfLEYgZERUHz+\nGZes/n7grA74kccfR9ff/ka/AYoIazMzIcvKQuZ550E/ztp1Nno++4wkHxbLmOFfEp2OdHc5aJAy\ngwFykwl+iwX25mYErNYxhcjciy7iLK4Y1qwBxePBb7XC09sL64kTCdRd0/nno4DDOZEvEkG/ZAkC\nNhvrdDQaPJEIxnXrOIcN8qVSUAIBu0ayv6eLmEKZjMQkHMUwSiBg903xeBAolSS2oWMipqgn1mhA\nCQRjkwehECG3G0K5nAT/ej1JAEb9m4sKB8zM5PH/j4nxv/NOxgGKooj4T6GAKkWumlCpxOY330Rg\nZATmPXsQCwYhVCrJxWezIWC3J63G8mgXhHg0irDXi3gkQiwQfT7EI5EE54JxtxeJEHS5EPH5EPH5\nyM3orCqjs7UVMg4xrt9qRf+ePWMWTr5EAllWVlIHrXgkgrazRckUBTE9vE4gkSBgs3HS0U797ndj\nLNQYhwOJTof+fftgXLt2wu3tjY2wHDuGgNU6RqQt1mpR8S//wjl7ZOGdd8JrNhMqA93u9fT1IR6J\nYPcPfoDl//ZvKN22bdxtDatWQVNWBntjI6QZGRDSYlf/wAB8dNs5GT678UYERkbYeQKMZbE0MxOy\n9HSoiorGTWaVeXnY+PLLCW5nvqEh0oGxWBC02WA6/3zOIMly9Ch8Fgu7QEv1eghVKlAURboa43Qe\nrvjkE4TdbpYu6KMrdcznlwy2xkacfOYZlqYopp8lOh37sywzc9IcbCZx01VUTEh3YwoFyV7bNzCA\n4ZMnEXK7EWJa4KOurfwrr+Rsb0dDIbT+9a9ALIZDjz4KgVQKgUwGgUzGOicZ163jFHeHPR4EnU7w\nRSLwhEJSmKAogMcjomceb1qJSTweB2h+LxecHR2IBoOIhUKIhkLkORgklq2hEHSLFo3rYCSikwfr\n8eNoeecdsk75/WeevV6WJnj94cOc5ylFURCr1VDl5yc4NknS0lhudTLoFi9G7xdfTNltKeR0wtXV\nhYDNhqDdTuiew8OsKDQWjeLiUZzt8aDIzoZAJjvDn6apT1JaQ3c2pBkZCeYI0VAIrs7OM9cbve/R\nzxtffpkzgEqvrobg7rvP0DuzshL0RKlMJP9061Y4WloSfseXSNgBi2cH0GdDotdDX1UFv8WCkbo6\n9O3axdpgBmw2IB7H1t27yXqkUIzLBCj+1reQed55oPh8xCMR0nWkC4DO9nZEg0HOeRIURbFTpfn0\n3CrQmkNGaJuMesokUEKlElK9HhQd3MbCYUTpqnksEuGMBbxmM7wDA8T4gnYNjEWjiNHzs5JZE1M8\nHsDjkUKLWk00k/S+Q04nYqFQUq0AXySCwmhENBRCmIkl6IJi1GpFAMQkgJPGNZqFEYsh7HQi6veT\na1SpZHUTFI+HpQ89NEYjRFEUtu7axXmc/x/nFv8/eZgB8EUiNpPP2bRpSq+RsWIFqY7SN6Og3Y5I\nIMBWHZJNIhQqFAiMU8ECCK1KqFAkDf6lmZls4kDxeBAqlSTAEYtB8fnw044tE0FfVUXoTVIpRPS2\nPJGIXXRDLheCdjtn8lB4zTXo372bFTfxRnVSoqFQUgpZwVVXEYpRXh6hjEkkZ7ygo1GIlEpO3nVa\nRQWO/uIXbKuTtSVdtAim9eshpNupEy3iw7W12DPKZYUvFrNCMalOB1t9PZY98siErdPSG2+Eu6eH\nrdw529vht1jY73XJffeNK7QUKhTIWr0aQYcDlmPHYFi1iq3QCCQSREOhpNqf9vffR+dHHyX8jicU\nQqLTIWi3s3afo8G49IhUqilZmiIWA18ohLu7G9YTJxC028ec6986coTzpmk9cQIhpxMitRoitRpi\ntRpe+lzn0jwwhYJkqH7wwYSfmQmhjCYqGZ0vFg4TKgZFwdHSciZopgPnaCiE8198kTN56N6xA4c5\nptQLFQpcf+hQ0vdySXU1+BSF1RoNVms0/6+9Mw+Pok7z+LeqryTdSToHxAQCxCiXAiqiXIKogCK4\nAzqOouLCPq6uiKI+wiozgo4z4jC6g+h4rI7XKOiMYgZ2VUQYDjkEISBnYhIgnCFHd6fvrqrf/lFH\n+q4Gj26y7+d5+kn6qO63u6urfu/1fcEYk21jDCVDh+LaN99Muv2qO+6IUH+JZsj8+XEX5OrnLEkS\nrN26wZidDZPiQBmzs2G0WuWMjs2mu5/2vftu3fepR3ZxMXzNzRD8fgRdLgSdTu34FGhtxXnDhiXt\ndTu6Zg22hNWem/PytNI4a/fuyCkp0e3vuChKNUcSBATa2uBqaJD7dQoLIzKCOSUl8IY55P7mZnw2\nZYp23VJYqDki+RdeiPOGD9fNqFjLyuSJuUqgRHOClCydxW7HhOXLkz5H7zvuAGcwyCUyVit4oxGC\n3685VXpNvv7Tp/HtwoVaQ2p2ly4oGjRIPodkZYEzGrVSm6yioph+QAA4+tVXOBA2cdhks8FSVKQJ\noKSinHRs3boI5wwAzHa7XL5js8n9f8mQpBjZUa3sRzkXBhyOpN+JGAigbf9+AHKJo3r+VZ2ZoNOp\n+z48ymwH3mzWtuMMBphyc+XyOJ11AMdxCPl8cgkv5CxAtAOoJ1/fb8YM9Jo0KSIoZMzJift7+KF9\nN0R6IOchQwhXplEJr+XVi95wHIfsrl3jOg9MkiAGg3BHTSiNJmKIm8EgT/xWoooA4AqF4ipdhL9O\n3vnnywc4jpOdH49Hi34IXi9OV1cn7U9RD/JBpxOiUrIleL1as6zJakVlEslYdShYyOWSF91eL0JK\nRgYADq1cico4OvTh2/cYP17ufVGcFcHrhaOmBi27d4OJIkquvDLhYrZ05EgM/f3vtROAOlRG8PkQ\naG9HW01N0sXR+ZMno/pPf0LA4ZAVNwYMkE/KNhvA87CWlSHociWsKW47cAAbHnww4jaTzdaR9i0u\nxpVPPx130Tz0d7/D5fPmdSwempvlRrmGBtQuXarbfCyJIlbeeKO8gA+PCIf1F3RR+mhUCi+6CKOW\nLIl4HjEYlDN2ykUv2rb/7bdxdPXquPetuuMO9Bg/Hpc99ljC7RljOL1jB0xWq5Z1NFmtCb8njue1\nx6WCyWpF6YgRaK6uxvhly+K+vh5lo0fjmjfe0KL9kijKMxoYA5L8JqN5+Te/QaGiLc4piwo1g5HK\nAKIxr70GjuflDIjZrGVCDGYzeIsloVOsRltzunT50ZoQ1Wm3IY8HIY8HgsejlUUlE1dgkoQ9r74K\n0efDR/EEIDgOI59/Pqnz0G3MGExYvrxjNkUKsrnR7H75ZTRt26bt6wGHIyJiW3nzzbjy6ae16zkl\nJWjZu1e7nt21K8Z98IGsoGO1QvB45AW78lx6Q7AA2QnauWiRHORQSmezi4vl405xcUr7xImNGzXH\nP3ruB2824+L77ksqtGEpKkLFpElypqClBS179yLQ0hKRqe02erQ8C6iwEL6oclAAyKuoQOnIkXKU\nXWmy9Rw7BrdSUqkX+AJk2U2L3S43+SqR+qDDIZccAyi58sqk2/PKDJOQsh9C6SVRF/y80YiA05lU\n+TBcpENQ9mnebNYylP4UvlMmSQh5vTCIouY8gDFIggCmllAnIa+iAsWDBsGSnw+L3S47UIoTlVVU\nhKyCAl2VIb2SIuLch5yHDIbjOHlBk2I97sQVKyAGAlrmIqAcuNRJrnoHv/ATBQuFIEqSPMVRWWCo\nk2QTLVx5o1FWjfL55MWMEtVUFzwA0Lp3L3DzzQltyCouhr+lRXM4WFSpT9OOHUkjevmVlXB+/338\nDAzPw2i14uSmTSgdMSLu9tldusBz/DhORUVxBSVlbLbbUffxxwnVJgxmM9oOHEDNsmVg0dEZJUq/\n+Yknki6gVG3/ln37tEhoeClZ9KIinK5DhuAXX32FOiVayAQBoiL3G2xvR6ClJeEQLnV/27V4MY5v\n2KCVgagYs7NRv3w58s4/P2aYn/paPcaP12rRPY2NaP3uO21fBGMY8/rrCT97QC5raVy9WusnMOfl\n4di6dXKvQV6eXMIWVZYyYtEi7SSt7vOHv/gCRz77DBWTJuk2GYo+H1ZPmxZzu8Fi0ZyEK556CiVD\nhiR8DmddHU5/+y0M2dkdA92ys7WhbgGHI+nnroc6Q+eHUjllCkp+QB1wuBzymaC+94DLhbaDBzWH\nWgwEImZYCD4fek+dmrSp8duFC9FQVSWXd8ZpQi296iqMefXVhNtzPI+y0aNxaMUKXD5vHqxKg69Z\nkSI25+frlqgEnE6c3LxZPrYqi0ztr8MBwefDzV9/nfS7Vee6FPTpo2U6LYWFMNvtco9DlBqMpaAg\nwiEQPB5sfPRRObgUNkVYxZCdjYK+fZM6AMWDBuHi//gP+fjgdMKvZAsctbXwt7TAZLXiAkX6MxFW\nZfiYesyXRFEuj1Gyc3qOrRQMorm6GobsbHn4YXk5csvLtaCX6Pdri+qsoiIE4jgPAUXNh1ei9Bbl\n2KVOQNcbPAggIshkzMoCbzDIzojHA0iSrtQwZzDIgxMVWfboc5ckCAjpZA7EqJJhdTsuGAQTRd2F\nPyBnkziDQVv8WwoKOhwAux1dLrss6fa28vKfdP4O0Tkg56GTYbBYNNnQM+W8YcMwbunSjkVYnBOj\nXoTNmJUlN1eHpZo5jgNvNEIShAjt53jkV1bK2Q5BiLswENxutB85krAfxWA2I6tLl1jngeflRjCD\nAU3ffpt0AVs+dmyM82BWJ6Ar2yej37/+Kw6++y6gLMbDa9s5gwG+pia4FenTuNtPn47dixfLJw2j\nEZb8fJjtdpgU5a1gezta9+6NG13lDQaA4yJ0ulU4gwEWux2f33ILhj/3XMLG466XXw4mSXJZh9er\nDUms+/vfIXi96HH99Rj5/PMx2xksFlzy8MNgjGHTnDnI791bW5SZbDbwZjMYY2jbvx+2Hj3iOsUe\nRZ4w6HIh6HLFpMcthYW4ecOGyNc1myOG69V98gmCSp9RXkUFjNnZOLllizZHI0spZ9A+M4sFE1eu\nlJU8lKhh9EVPNKG5uhrfPP10QjUjzmhM2qQIAJsefxwtu3dH9DUYzGatbKPsqquSpvgFrxffLlyo\n9UCoQ+DAcWjZvRsAsPe119CYlydPlVayFur/eRUV6D9jRlIbN8yerX0v4RdR+Tto9mxUTJwYs52a\neXAcPIiNDz0U/zPieRiyslA5eXJS56Hkyiu1JmejzQZTTo6WLTLabDGL7mgYY9r36WpoQPvhw3Iv\ni6LkEnS7MXDWLHQbNSrhczhra7F7yRJ5Uab8Pi12O/J69tTK55LN9gHkIIEUCsFRW4vg9u3aPq8e\nu3pNmoThCxd2PD4/H8GwkjE+OxvnDR0qzwRSFuhMXbgHAgi5XLqDqVz19ah5/32tRNWYlaVJNtu6\nd09JOa11zx40bd8OAB3Pk5MDg7IPB5OUuQFyaaSrdojetAAAFxpJREFUoQFAR4DHYLFElLyqDbVZ\nRUVojiNwIPj9cDc2ytspDgRnMMgBLHVf1yGkDJzlOA6SEviSgkFAcVy8J04k3Z7jeYQ8HjljEiXz\nrRLQWfyHH2c4oxEWJWCiXlIZzqnXa0MQPwbkPBAaJqv1rCOLKoNmz4aztlZuLnU65b8ul5xKdjqT\nSigCQG5FBcRgUHM4wmuyVU7v2JG0md1aVoZ25WSkIUkQPB6Ifj+Or1+PQVGlPeHEm5cgqNEvnpdP\nVEkW/+bcXORVVsJz/LisfsWYHGFVolK+piac3Lw5cUSPMVT+8pc48sUXWr0rEwQEnE4wUUT7kSNo\n/OqrhKUZOSUlGLFoEbY984xcN6s6LkajFgltXL0a9r5940ZGe4wbh/bDhzuG9CiPsRQWIrdXL/hb\nW7HtmWcS6o1LSuOgo6ZGPiG73RCinLnRL7+MbnFmZvSaMAG9JkzA6epqHP7f/9X6XtTFEW8yoWn7\ndk0lKh6Nq1fj1LZtkIJBbH788Zj7+959Ny6bM0e7zhsMEZKv/tZWbH/mGXl6sqJ+1vCPf8jZBCWT\nUD52bETvTuXNN+P8KVO0hsSA0wnB69UaiXcvWaLreHcdPBhZhYXygjwYjFiUM0nSjYZLoghHTY28\nWJKkiLImtVa+uboa/pwcrbGS4zjt/1TqwtVyLu1iNEZcT+bUA/Jvc+z778vvRflOOY6Tm1MFAVIw\nqKssJ3g8cDc2IqT2jYRffD4UX3IJRixalHB7juNQ88EHAIDDn3+uDZ8y5ebCUlgIa/fu+r0C3bqh\n16RJHQ5neztc9fXa/yGvF33jZLPCaT96FN6mJrlkqKgI2aowgLLgtUVJQ5vz8iAoi1PeaAQHoD6s\nH0HtbVP7SAxmM7ynTyPpjGie15yWiJsVee9Ust7h5UXhmvqcwaAFs5IRnplgkoRQe7ss02mxwKD8\n9lX7LEVFmpJaPBuYKMq/H9UmSYIkiuBTGFAo+HyyQIkkAXECV/FeNxxTbm6M2Ag4Tt6v8vJgttsT\nDvhT6T99OnrfdhvMeXlysCvNM1EIIhHkPBA/Kj90Km6W3Y5LH31UPqGpjofLhYDDoWVETDrRtNye\nPXFqyxYA0BZPKkwU4WpoSFr6FC8iLwUCkAIBuZeD53H4889xUQLVJmNODqylpXDV1UH0+bSUvhqF\nZJKEhqqqhM4Dx/PoMngw6pYv1yaUcxwnS84KApggoO7jj9H79ttjSnhU8nv3hqWgQF7cCAJCyuuq\nJ1dXQwPKr7suYfah18SJOLllC1yKuk7Q6ZQbIb1eLTp/fMOGuBKMBosF1771FlZOmgTvyZPyCTR8\nUWOx4MC770Lw+dDzhhvivr7/9Gmc3LIFQadT7nvxeCIcSFNeHn65eXPcba/+85/xzdNPo3H1ahQP\nGKBJJquReMYYDrzzDgr6949biiSFQgi2t0NoatJKayTF+RN8Poh+P4oGDoxp/Oc4TnY4LBZ8/7e/\nYZcyo0K5ExzP4+/Dh4M3mZDbsyfGvvtuxPbR+8OORYvgPXECnMEA3mTC6V270Lx7t1ZGWDZ6NMqv\nvVZ7vDk3N6Knwt/WJmfAAPgV5ZKuQ4fCXlCgZRwAaM5GKpNQeZNJK+WQQiEwQZAX/cqlsH9/FA0Y\nELud4jy46uuxNcmQKwC4ZfPmpHMCXA0NaPnuOzmbp3zeJptN+45TUVAqvvRSnNqyRRZQkCR4T56E\nUF8vO3yCIO8XSY5jnuPHcXLLFi1LxBmNmoqW+puUQqGkkXvfqVNoiYqi82az9huJbsRXP5Ngezuy\nCgo0p089vjFRjKixV18jGSG3G5wSnAhHyyj5fLqN38kmJzNRRCCFzEMEqjOpONFgDO5jxwDI+3g8\n8ZCQ1wsYDJosd3TkX0yhJ4g3mWJKTTmDQeuFSla2CMhBm2v/8peOksv8fJis1jNSilMzDATxY9PW\n1oannnoKgiCgrq4Ot956K26//XbMmTNHrghoa8O8efPQLwUpdICcByLD4HheN2KnR+9f/Qo5Xbt2\nRAGVdLSaCZEEIenJ0Jidjayiopg5DQC0Po4TGzYkdB4AwN63L05s3ChvIggxMyaad+1CwOlMWGJR\nOmwYOKBjQqlaiqI4Ef62NtRXVeGiOMpLgDy1NVuZmK2WsTClcY4pvSzV//VfGPP663G3t5aWosvg\nwWjetUuL4gXa2jRnzNfUhN0vvYTigQMTnuwumT0bGx97TFtcMUmSlYb8fgScTtR++CHsffrElZIs\nHzsW1rIybXZFOLzJBDCGT6+7DmPffTeuSlHI7ZY14hX1MiZJ8gJXXRQFAuh29dXIKiiIUYnKKSnB\nNf/93/A1N2O5ImLAm0xa46I5Lw8bH3kEBosFw373u7gZoG5jxsBaVgZHbS3a9u1Dy5494IxGFPTp\nAzAGQ1YWDrz3Hkw2W0IBANHn0xxoKRSSv3tJgiRJAGMw2+2wKpPYrXH0+AW3G4dWrgRjDC6l7OPo\n6tVwqItSZZGm/hYKL7oooQyxiuP77yMcWoT95Y3GhHXh6gKRSZI8XC1saJ2WJRFFeZCWTrTVd/o0\n2g4cSHh/l8GDMWDmTN3nAADR75ezc0qfilpupCdQIfp8EQIUHM/LZTZKNobjeYg6spzx6telYBBB\nJXrtjWry1ZwHl0ueGs1xCctjVPTq9AOtrTGOg4YasBBFGJLIAAvR/RZqCRVjsuiEnrqPyRQ5xFCZ\n8RNhp/JZmRXFICkUinA6souKAFGMOM5yBoPWe2TSUdkDgBF//CPEQEBT/TLl5spKgylG/3mDQbev\nkCDSQSAQwP33348XXngBpaWlOHLkCHr16oWqqiosXrwYNTU1uPHGG1FYWIgXk8zICYecB6LTkX/B\nBWcnG6rAcRyGLVwI95EjcNbVoWXPHhT27y9nPpRMiN7QoR7XXYf9b7yR8H4miji5aVPCyLva3KYt\nINRSlLDH1C5bltB5AIDu48ahafv2uL0j4Dic3LoVrQcOoDBB+U/l5Mk48NZbWjQu6HR2LBYhz9TY\n9847uCRBCVjJ0KEo6Nu3I7oaVSYTcDiw849/xKglS+KW5ORVVKDPtGla9FxFLeMRAwGsvfdejF+6\nNEb5KOR2o6B3b9j79MH+v/wlrrRg46pVaDt4EKMWL45bTmfKycGwZ59F9Z/+hJDX26F9r+iuS6EQ\ndixahD533RWRAQBk581+wQWo//RTHPqf/0GwvR0cz6O5ulqrwT6+caNcBmQwoPy662JUpYYoE3FX\n3XEHWvfsibHPVVeH/W++ifLrr8fA+++PUTGzlZfjX778Et5Tp/CB4gT5W1oSlj+Fq2AlwnHwYNJI\n83lDh8a9neM4Taqydf9+rVQpxglB/KbRcAJtbXGj5Sp6OvZAh/MQcDoR9HrBAfJvS/mdqZHuRESX\n+TBl4q0kSeBCIXCQHQEkKfsJJpLfVj6PaGUdzXlQ1XsSlbGpkW7GYoaERZM0K6As4kW/H4YkpWQx\n/WVRDo2g48CY1P2eMVnqWxUbyMnRJHzV/pOCfv3Q/557IlSJAKD31Knofu21ct+LIjJyppOEC/r0\nOaPHE8S5wmuvvYYHHngApUqQyaIENSoqKtCzZ0/s27cPvXv3xu06waNwyHlII0uXLj2jL4v4+Sgd\nPhxQprueDQV9+2KcOgwr7BLyeiF4PAi6XLDrTHXufs01Wm12OJucTgzPz4+ZyhlNrwkTsGPhwvjR\nSWVh8N3LL2N0lFSqirW0FDndusFVW9txY5QDc/C99zDg3nvjRlhNVit63347NqvOg7JtuDNzfN06\nNFRVoTJMr17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"text/plain": [ "Graphics object consisting of 30 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(X_pol.plot(X_hplane, ranges={r: (0,24)}, style={r: '-', ph: '--'}, nb_values=15, \n", " plot_points=200, color='brown'), xmin=-5, xmax=5, ymin=0, ymax=5, aspect_ratio=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The solid curves are those along which $r$ varies while $\\varphi$ is kept constant. Conversely, the dashed curves are those along which $\\varphi$ varies, while $r$ is kept constant. We notice that the former curves are arcs of circles orthogonal to the half-plane boundary $y=0$, hence they are geodesics of $(\\mathbb{H}^2,g)$. This is not surprising since they correspond to the intersections of the hyperboloid with planes through the origin (namely the plane $\\varphi=\\mathrm{const}$). The point $(x,y) = (0,2)$ corresponds to $r=0$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We may also depict the PoincarÃ© disk coordinates $(u,v)$ in terms of the half-plane coordinates $(x,y)$:" ] }, { "cell_type": "code", "execution_count": 77, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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888+f9LwPh8M6dOiQjxljqu3cuVM33nijFixYoIqKCj355JPWKRWk5OJneHhY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\nfnJEev0t6byFUq3RhRZzRYd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"text/plain": [ "Graphics object consisting of 64 graphics primitives" ] }, "execution_count": 77, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_Pdisk_cart.plot(ranges={u: (-1, 0), v: (-1, 0)}, \n", " style={u: '-', v: '--'}) + \\\n", "X_Pdisk_cart.plot(ranges={u: (-1, 0), v: (0., 1)}, \n", " style={u: '-', v: '--'}, color='orange') + \\\n", "X_Pdisk_cart.plot(ranges={u: (0, 1), v: (-1, 0)}, \n", " style={u: '-', v: '--'}, color='pink') + \\\n", "X_Pdisk_cart.plot(ranges={u: (0, 1), v: (0, 1)}, \n", " style={u: '-', v: '--'}, color='violet')" ] }, { "cell_type": "code", "execution_count": 78, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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5wL1ypTy2bJGtSEWKQNu2UuhkZmpR4C6CCkHEfDi/Es6tgm1PS7eowFAo1loK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\nc5RnpE9jzjhDEn6XLz92iANIEvH8+XD77ZISfLziqqtkfOx3vzvy/5QSc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8pQGNsNnFN6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\nkFi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"text/plain": [ "Graphics object consisting of 64 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(X_Pdisk_cart.plot(X_hplane, ranges={u: (-1, 0), v: (-1, 0)}, \n", " style={u: '-', v: '--'}) + \\\n", " X_Pdisk_cart.plot(X_hplane, ranges={u: (-1, 0), v: (0, 1)}, \n", " style={u: '-', v: '--'}, color='orange') + \\\n", " X_Pdisk_cart.plot(X_hplane, ranges={u: (0, 1), v: (-1, 0)}, \n", " style={u: '-', v: '--'}, color='pink') + \\\n", " X_Pdisk_cart.plot(X_hplane, ranges={u: (0, 1), v: (0, 1)}, \n", " style={u: '-', v: '--'}, color='violet'),\n", " xmin=-5, xmax=5, ymin=0, ymax=5, aspect_ratio=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The expression of the metric tensor in the half-plane coordinates $(x,y)$ is" ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = y^(-2) dx*dx + y^(-2) dy*dy" ] }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display(X_hplane.frame(), X_hplane)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Summary\n", "\n", "9 charts have been defined on $\\mathbb{H}^2$:" ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "[chart (H2, (X, Y)),\n", " chart (U, (X, Y)),\n", " chart (U, (r, ph)),\n", " chart (U, (R, ph)),\n", " chart (H2, (u, v)),\n", " chart (U, (u, v)),\n", " chart (U, (th, ph)),\n", " chart (H2, (x, y)),\n", " chart (U, (x, y))]" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" } ], "source": [ "H2.atlas()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are actually 6 main charts, the other ones being subcharts:" ] }, { "cell_type": "code", "execution_count": 81, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "[chart (H2, (X, Y)),\n", " chart (U, (r, ph)),\n", " chart (U, (R, ph)),\n", " chart (H2, (u, v)),\n", " chart (U, (th, ph)),\n", " chart (H2, (x, y))]" ] }, "execution_count": 81, "metadata": {}, "output_type": "execute_result" } ], "source": [ "H2.top_charts()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The expression of the metric tensor in each of these charts is" ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "g = (Y^2 + 1)/(X^2 + Y^2 + 1) dX*dX - X*Y/(X^2 + Y^2 + 1) dX*dY - X*Y/(X^2 + Y^2 + 1) dY*dX + (X^2 + 1)/(X^2 + Y^2 + 1) dY*dY" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "g = 1/(r^2 + 1) dr*dr + r^2 dph*dph" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "g = 4/((R + 1)^2*(R - 1)^2) dR*dR + 4*R^2/((R + 1)^2*(R - 1)^2) dph*dph" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "g = 4/(u^2 + v^2 - 1)^2 du*du + 4/(u^2 + v^2 - 1)^2 dv*dv" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "g = cos(th)^(-2) dth*dth + sin(th)^2/cos(th)^2 dph*dph" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "g = y^(-2) dx*dx + y^(-2) dy*dy" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for chart in H2.top_charts():\n", " show(g.display(chart.frame(), chart))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For each of these charts, the non-vanishing (and non-redundant w.r.t. the symmetry on the last 2 indices) **Christoffel symbols of $g$** are" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "chart (H2, (X, Y))" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "Gam^X_XX = -(X*Y^2 + X)/(X^2 + Y^2 + 1) \n", "Gam^X_XY = X^2*Y/(X^2 + Y^2 + 1) \n", "Gam^X_YY = -(X^3 + X)/(X^2 + Y^2 + 1) \n", "Gam^Y_XX = -(Y^3 + Y)/(X^2 + Y^2 + 1) \n", "Gam^Y_XY = X*Y^2/(X^2 + Y^2 + 1) \n", "Gam^Y_YY = -(X^2 + 1)*Y/(X^2 + Y^2 + 1) " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "chart (U, (r, ph))" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "Gam^r_r,r = -r/(r^2 + 1) \n", "Gam^r_ph,ph = -r^3 - r \n", "Gam^ph_r,ph = 1/r " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "chart (U, (R, ph))" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "Gam^R_R,R = -2*R/(R^2 - 1) \n", "Gam^R_ph,ph = (R^3 + R)/(R^2 - 1) \n", "Gam^ph_R,ph = -(R^2 + 1)/(R^3 - R) " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "chart (H2, (u, v))" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "