{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Carter-Penrose diagram of Schwarzschild spacetime\n",
"\n",
"This worksheet demonstrates a few capabilities of [SageManifolds](http://sagemanifolds.obspm.fr)\n",
"(version 1.0, as included in SageMath 7.5) in computations regarding the Carter-Penrose diagram of Schwarzschild spacetime. It is used to illustrate the lectures\n",
"[Geometry and physics of black holes](http://luth.obspm.fr/~luthier/gourgoulhon/bh16/)\n",
" \n",
"Click [here](https://raw.githubusercontent.com/sagemanifolds/SageManifolds/master/Worksheets/v1.0/SM_Carter-Penrose_diag.ipynb) to download the worksheet file (ipynb format). To run it, you must start SageMath with the Jupyter notebook, via the command `sage -n jupyter`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*NB:* a version of SageMath at least equal to 7.5 is required to run this worksheet:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"'SageMath version 7.5, Release Date: 2017-01-11'"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"version()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First we set up the notebook to display mathematical objects using LaTeX formatting:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%display latex"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Spacetime\n",
"\n",
"We declare the spacetime manifold $M$:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"4-dimensional differentiable manifold M\n"
]
}
],
"source": [
"M = Manifold(4, 'M')\n",
"print(M)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The Schwarzschild-Droste domain\n",
"\n",
"The domain of Schwarzschild-Droste coordinates is $M_{\\rm SD} = M_{\\rm I} \\cup M_{\\rm II}$:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"M_SD = M.open_subset('M_SD', latex_name=r'M_{\\rm SD}')\n",
"M_I = M_SD.open_subset('M_I', latex_name=r'M_{\\rm I}')\n",
"M_II = M_SD.open_subset('M_II', latex_name=r'M_{\\rm II}')\n",
"M_SD.declare_union(M_I, M_II)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Schwarzschild-Droste coordinates $(t,r,\\theta,\\phi)$:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_SD, (t, r, th, ph))"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_SD. = M_SD.chart(r't r:(0,+oo) th:(0,pi):\\theta ph:(0,2*pi):\\phi')\n",
"m = var('m', domain='real') ; assume(m>=0)\n",
"X_SD.add_restrictions(r!=2*m)\n",
"X_SD"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_I, (t, r, th, ph))"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_SD_I = X_SD.restrict(M_I, r>2*m) ; X_SD_I "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_II, (t, r, th, ph))"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_SD_II = X_SD.restrict(M_II, r<2*m) ; X_SD_II"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_SD, (t, r, th, ph))"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"M.default_chart()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"[Chart (M_SD, (t, r, th, ph)),\n",
" Chart (M_I, (t, r, th, ph)),\n",
" Chart (M_II, (t, r, th, ph))]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"M.atlas()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Kruskal-Szekeres coordinates"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M, (T, X, th, ph))"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_KS. = M.chart(r'T X th:(0,pi):\\theta ph:(0,2*pi):\\phi')\n",
"X_KS.add_restrictions(T^2 < 1 + X^2)\n",
"X_KS"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_I, (T, X, th, ph))"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_KS_I = X_KS.restrict(M_I, [X>0, T-X]) ; X_KS_I "
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_II, (T, X, th, ph))"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_KS_II = X_KS.restrict(M_II, [T>0, T>abs(X)]) ; X_KS_II"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"T = sqrt(1/2*r/m - 1)*e^(1/4*r/m)*sinh(1/4*t/m)\n",
"X = sqrt(1/2*r/m - 1)*cosh(1/4*t/m)*e^(1/4*r/m)\n",
"th = th\n",
"ph = ph"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"SD_I_to_KS = X_SD_I.transition_map(X_KS_I, [sqrt(r/(2*m)-1)*exp(r/(4*m))*sinh(t/(4*m)), \n",
" sqrt(r/(2*m)-1)*exp(r/(4*m))*cosh(t/(4*m)), \n",
" th, ph])\n",
"SD_I_to_KS.display()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"T = sqrt(-1/2*r/m + 1)*cosh(1/4*t/m)*e^(1/4*r/m)\n",
"X = sqrt(-1/2*r/m + 1)*e^(1/4*r/m)*sinh(1/4*t/m)\n",
"th = th\n",
"ph = ph"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"SD_II_to_KS = X_SD_II.transition_map(X_KS_II, [sqrt(1-r/(2*m))*exp(r/(4*m))*cosh(t/(4*m)), \n",
" sqrt(1-r/(2*m))*exp(r/(4*m))*sinh(t/(4*m)), \n",
" th, ph])\n",
"SD_II_to_KS.display()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot of Schwarzschild-Droste grid on $M_{\\rm I}$ in terms of KS coordinates"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"graph = X_SD_I.plot(X_KS, ambient_coords=(X,T), fixed_coords={th:pi/2,ph:pi}, \n",
" ranges={t:(-10,10), r:(2.001,5)}, steps={t:1, r:0.5}, \n",
" style={t:'--', r:'-'}, color='blue', parameters={m:1})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Adding the Schwarzschild horizon to the plot:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"hor = line([(0,0), (4,4)], color='black', thickness=2) \\\n",
" + text(r'$\\mathscr{H}$', (3, 2.7), fontsize=20, color='black')"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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Sji04OBgeHh4ICgpClixZ7D0cpVQcTEPRhx/6YtEiH9SoAfz7L/DWW8Dy5UDv3sDKlTyF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\nMFIURVEURfmP/wPLTcBsl8hsMQAAAABJRU5ErkJggg==\n",
"text/plain": [
"Graphics object consisting of 30 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"hor2 = line([(0,0), (4,4)], color='black', thickness=2) \\\n",
" + text(r'$\\mathscr{H}$', (2.95, 3.2), fontsize=20, color='black')\n",
"region_labels = text(r'$\\mathscr{M}_{\\rm I}$', (2.4, 0.4), fontsize=20, color='blue') \n",
"graph2 = graph + hor2 + region_labels\n",
"show(graph2, xmin=-3, xmax=3, ymin=-3, ymax=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Adding the curvature singularity $r=0$ to the plot:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"sing = X_SD_II.plot(X_KS, fixed_coords={r:0, th:pi/2, ph:pi}, ambient_coords=(X,T), \n",
" color='brown', thickness=4, style='--', parameters={m:1}) \\\n",
" + text(r'$r=0$', (2.5, 3), rotation=45, fontsize=16, color='brown')"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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JIGzebJTa0vsv2LZoQevvvkPXyOhZD1eSXnnDhw8nICCA+Ph4KlSogKurKz4+PrRv377U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\nNLz8srTxr1sntUgPi04nomziROkK8/aGSpUeft1Hza1bkv5bvRq6dJH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mZ8H0AR5ciUll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+WPi8SlZPGSU3X+170Rm86Gs9v9bqdNQFQyZ4JvYG9rIe68fteLXeNe75V3ejampp0F87Z7k5mT\nj6Io/PWZG0ZZRY0fr+7YwcEhQ0j0939Md65Hzz8jPzOTzNjYUrc3rFaeNRO7EFHdie19PqV+925Y\nm5deyZuUkcPMTR5ULW+O26DmfPaqM9+OaUdFK1NikzKZvtGD6jbmzBjigkat4tu9/pwPuclH/ZzY\ncCaMxPQccvK1XClBFGk0blSuLK7Vd0ZahITcLa7OzhYzxzVrJBr06afFIzFZWZJe+/JLiYj8/PPD\nCRpFuTtbrHx58csZMODBjweIjpZo1muvScTpYcjOFjHYooWkvM6eFePGRzUZZ8oUsLSU/z6P+PrK\nQN5/4jv1tNALIz2PnaFt6zC2WwMAYpIysStnwqI9vrzWsS6GBmrc/rhIYnoOQ9rWZkjb2vx0KIgT\ngfJi6NS4CrOHt+RmShblTA1Zss+PgKjSe2iNDDRMH9KCtKw8Fu/xJXzbNtSB3iXumxEVxeHRown8\n+Wd0z2sfrJ4XigRfXw4OHsypDz9EW0bXmVd4AlvPXyXfyIzLsSnkFZT85zc3X8vszV5odQpzRrTE\n1MgAa3NjzE0MSc7IZeoGd8yMDfhipCsmhhpWHAriqN91PujTlN0ekcQmZ5JfoCP0+OZiosjAwA1b\nWxE6mzZJTc6tW1Jg7OoKycnSIn/0qNQcvfFG8fXFxYl30YEDImzc3R8uhZWZKRGmt98Wo8QzZ6B2\n8fKr+2JkJALu++8f7rhjx8DRUWqaZs0SUda27cNfvzTc3eGPPyTa9jyNIFQUSWP27i1p0dOnJVL4\nvKAXRnqeCMPb1+XNLvUBiE3OwsbShEV7/XirWwPyC3RMXe9OWnYeb73UkG6O1fhm1yW8ryYA0Lpe\nJRaPaYdGrUKlUjFrsyc3kkt2vwaoUt6MTwY042zITXxtGlDz5ZdL3VcpKCDo11/JSUx8tDesR89D\noM3L49LSpRwZPZqM6GiSg4LYOX1+iftei09n3nYvAHo5V2fxm22LFVkD6BSFRXt8iYxPZ+4IV+zK\n3TUAysotYPpGdxkT8lorrM2NWXcilN0ekbzTqzHH/GOIvJWOTgchJYgiIyM3rK3BxEQiQa+/Lp5D\np09L11RMjLSWBwWJeCjJzdrPTwbJxsTI8efOScTmQbl8WWaL7dghabDly2U9/4RKlWD16gdP3yUm\nSrqse3cZ4eHnJ95EJdVN/RuMjcUlfOzYR3vex4VWKx14rVpBt24ifNevFx+j58l7Vy+M9DwxRnWs\nx+ud6gFwIzmL8uZGLNnnz9s9G5Gcmcv0DR7k5Gn5qJ8TzrVsmbvVkyu3a4XqVbFi2VsdqGJtRmZu\nPp+uO09GTukDZ9s1qMyQtrX55Vw0wb3G0mbhQgzMzUvc19ltCmYVK5a4TY+ex01ySAiHRowg6Jdf\nUO7pzMzdv52oM2eL7Bsel8rEVWco0CpM7N2ESa84lSiKANadCOV00A0+f9WZelXuWivnFWiZs9WT\n2OQs5o9qRWVrM7aeD2fDmTDe7FKfC6G3CIlNQQVc/mtTiaLI3FyKaVeuhJEjpbvszBlJl1y+LLU2\nqamSVmrTpvjaDhyQ7ipbW5g5U84zb56MyXgQNm6Eli0lMuHhAaNGPdhx/xZFgQ0bpOV+925x8P7r\nL2jQ4PFcr1kzGaXyIDYDT5PsbKnNatBAiu0tLaVOzMdHvpuHSY0+C+iFkZ4nyujO9RnVUVpN4lKy\nsTAx5Lv9AUzo1YToxAxmbfZAq1OYPsSFGrYWTN/oTkySFElXtDLlu7HtcbSvQHxaDp+uO0+BtvjA\n2TuM6VIfa3Njtl6I4PecqnTduAVbZ+ci+yTVa06d/v0e3w3/xxgxYgT9+/dn48aNT3spzzw6rZbA\nX37h0LBhpISEFNuuQsFr5gxyU1IAOOZ3nfdXnyWvQMfUQc3p5+pQ6rn3eoof0diXGtK+4d1KYp2i\nsHiPH4FRycwZ3pLalcpxwDuKVUcvM7RtbYJjUgiISkSjVhFcgigyNnbDxERmXn37rbwEq1WT9Fm1\natJe3769vBjPnYOGDYuuS1Fg2TJpZe/WTVJXkydLW/vUqfd/Zjk58O678rIdNEhSTf/Ga+hhiIyU\nyNdrr4lZY3CwtPb/0xb8F4GkJJg/X4rC33tPit/d3UUs9ur1/M5++w9/pXqeFm90rs+I9lKJdys1\nGxMjDT8dCuS93k0IiUlh/nZvDDVq5o1shYWxIdM2uJOUkQOIv9GXo9vQx6UGUfEZ/PhnYKm+RYYG\nGn54qwOmRgZcCL3F5wcjqPPN9zi+9x4qtRrF0op2c+eg/i//ZnvEbNq0iT179jBy5MinvZRnnqvb\nt+O7dCm6gtJNSS2qVUObm0tCWg5L9vqh1Sm807MxnZuU3v+98+JVfjgYiLODDUPb3i24URSFFYeC\nOBkYy+cDnXGqacPxgBiW7ffnlZb23EjOwjs8HiONhuBjxUWRqakbBgZSwzN3roiipk3lJWhnJ1Gg\nbt2kVf306eJT4gsKpMD5ww/FWXr5chFETZpIVOR+L9E7c9V+/VWKrdeuhVKCwI+UggKpj2nSBAID\nxY5g8+Z/1rn2ohAVJYLW3h6++EJEakiIjH/RauW/utL/zfrMo1JKe6vo0fMYURSFVUeD2XZBOtBs\nLIxRgDFdG7Bsvz8dGlXhs1ediU/LZvKac5Q3N+abN9tgbnw3JnvoUjRL9voxvkcjBrcpveLS62o8\n09a7Y21uTGZuPu/2bkJLEinIyqLKA7il5aakYPw8mXA8BdLS0rCysiI1NZVyz1OV6FNEl5/PwZGj\nSA0OKrZNbWCA43vv0eitt1BrNEQlZDDxl9O0a1iZz191LtKJeS8bz1zht+OhWJoYsurdzkW61Tad\nCWPN8RDe79OUV1rU5ELoTeZu9aJLkypodXAqKBZTIwMCj24sJorMzNxQFCk0fv99qXnp0kXqe8zM\nRKS89Ra88oqkuf4+zyw1VTrPjh0TQfT66xJ1iYqSVNj9fH5275YiaxsbqWFxcXngx/yv8PGRonJv\nb7nvefMkGvZfxd9frAM2bpTn8N57InYrVbq7T/fukJIi36s+YqRHz0OgUqkY170Rg1o7AJCYkYui\nwB+nrjChV2NOBcWy7IA/laxMmT+qFXEpWczd4lWk+6aXcw2GtavDL0eCOR9S+lCjFrXtGN2pHimZ\nuTg72LJ0nz9rrqmwdm1933VGHTrEnt69Cd+xo9TIlB49/wS1oSEOn05HqzYo8rl1/fr02ryZJuPH\no9ZoyMkrYN42LypamfJhX8cSRZFWp/DjnwH8djwUc2MDVr3bqYgoOnQpmjXHQxjdqR6vtKjJpcgE\n5m3zpnVdOzRqNScDYzErRRRZWLih1Uo7+rhx0l3Wr590mpmaijfRmDEilrZtKy6KIiKk5ujCBak7\n+d//ZExEWpr4DZUlivLzpcX/1VdFSHl5/XtR9CB/jTMz5bqurlJUfuGCGDf+F0WRokiqtG9f8SM6\ncULEUVSURIvuFUWeniJ+P//8+RVFoBdGep4iKpWK8T0aM8C1JgDJmbnk5mvZdiGC/3VvzJ8+0fxy\nNJhaFS2ZM7wlgdHJfL3LF63u7m+2/+vWgHYNK/PlTh/C41JLuxQjO9ajeW1bQm+k8G6vJnhfTSAh\nLafM9SXE3uLC3C/IT0/n4owZHB8/vkx/GT16HoYCrY7VwZn4OPWSD9RqGo8bR6/Nmyl/uzhHURR+\nOBhIXEo2M4a2wNTIoNh5cvIKmLPFkz0e1zA21LDsrfZYm99tz7oQepOl+/zp42LP6E71uByTwuzN\nnjS1L095CxMO+17HwsSQgFJEUU6OjLUYPFhEzRtvSMTAwEAcpj//XFytV66Uz+7l/HnpHMvJEXHx\n0kvyea1a0snl6lr684mJETG0dKkMId2x49G4J8+YIfdRmkA6fFgiYz/8IBEiLy/psvqvodXKM2/T\nRqKDUVHiWB4eLq7iJY1z+eorcSsfNOiJL/eRohdGep4qKpWKCb2a0L+liKPULHHY3e99jTFd6rP9\nQgQbTofhWNOGKYOac/byDX46dLeuSK1S8dmrztSwtWDmJs9SxY5GreLzV50xUKs5GRTL6nc7U8O2\nhL/Z97Dzk+kUpCQX/n/cuXPsHzCA0A0binQP6dFTGmV5ERlo1LRvWJmx8z+l1oAB9Fi3DufJk9Hc\n0/N96FI0R277CtW0Kx6uuJWazaQ15/AMj0ejVjFvpCvVbe7+uQ6MTmL+dm/a1q/IxJebEnkrnWkb\n3HGws6SmnSX7vaOwNDHE/8iGYqKoXDk3srPFi6hTJ6kNev99GZeh00k6bOlSERBz5xaPEGzcKMKm\nQQNxwv57IXZZnVZHjoj/TWSkRCg+/vjRRCAuXZKXd/Xqxc8XHy/31KuXCDd/f3Bze7IdVTt3iuHl\n0yQnR2q4GjUSMWxmBvv3i5B9/fXSn0dkpJh8fvLJs99Fdz/0wkjPU0elUvFu7yb0dakBQHp2PimZ\nuZwMusGI9nVYdzKUXe4RtG9YmYkvN2Wv5zU2ngkrPN7EUMOc4S1BBbM2e7DpbBi/HQ8pMlsNwNrc\nmKmDm3M5JqXI8SURdfwE5r5ni31ekJWF5/z5HHn9dVJCQ0s4Uo8e+XPis3gxfw4dSkFO6ZHJwW1q\n09TBjtbz53Myx4rA6LvmpeFxqfxwMJA+LvZ0dyp5BlpITArxadlodQqTXnHEqaZN4bbIW+nM3ORJ\ng6rWuA1qTlxKFlPWu1PJypQm9hXY5R5JuVJEkZWVG+np0L+/FFPPmCE/S5dKmqlfP0mbbd4sdSb3\noigilEaNkgLto0elLf9B0GphzhwRJy4uUuPzqIamFhRIHVSjRkVdpBVFIiGNGkkB+Zo1suaHndP2\nb/HykkjLjh1P9rp3SE6WGXcODjIzzslJonzHj0s33v2E6cqVYkI5evQTWe5jRS+M9DwTqFQqJvZx\n5OXmIo4ycgq4mZqNR9gt+rvW5KdDQRz2jaZvi5q83rk+a0+EctAnqvB4G0sT5g535XpiJn/5x7Dx\nTBjztnqRnVe046dJjQqM7daQreevllmXlODpUeZ6Ey5d4uR775XZUaTnv0nMqVPsHzCA4F9/JTUs\njFNff1vm/kkZOUzf4M4vR4MJipYIZWZOPvO2e1PTzqJwGHNJaDQqMnMKGN6+Dj2b1Sj8/FZqNtM2\numNXzoTZw1uSkpnHlD8uYm5igGs9O7adv0o5E0P8ShFFKSlSLF2xotQQLVokYic+XjrPzp+XeqGh\nQ4uuJydHogqzZkkaau1aMSl8EOLj4eWXRRjNni0ixc7uwY59EBYvlojR6tV3jRjDwyUi9uabIsaC\ng6Ve6mnUx0yfLtG1ESOe7HWvX5coj729PPtXX5UOs23bJA36IOTmSiRxzJgn0yn4uNELIz3PDGqV\nig/6OtKrmfzrODu3gJjkLEJjU+jZrDrf7vXjdPANXutYl1da2LNsv38RcVOncjmmDGpOVHwG7RpU\nwjsigclrznEzpWhsenCbWrStX4lFey4RV4qDtvMnn9D5xx8xLcP4sfknn6D+e1GFnv8sWbducXry\nZE5OmFCkFi12y3qCz5YstN2v3OKdlae5ejOdBaNaMbRdHRRFYcleP1Iz85g22KVUA8crN1L5cucl\n2jeszJiudx0G07LzmLbBHY1KxfxRrSjQ6piy/iIK0LlxVTadCaecaXFRpFItxNrajeRkcVtWqcS0\n7+efJZUVESHRm+hoKcbt2rXoeuLjpYZo+3aJJE2b9uAC4+xZaN5chMvhw2L6+CjTMSEhItY++kjq\nmvLzRfA5OsKVKyLC1q8XIfg0OHNGhObcucXrtB4XgYEiZGrVErH4wQcy6HXFCqhX7+HOtW0bJCTA\nhAmPZalPHL0w0vNMoVapmNTPiZecqqEAuXlaIm5lcCM5k/YNK/PlDh+8ribwbu+mtGtQmQU7vIuk\nH9rUr8T4Ho04F3KTwW1qk5VXwPurzxbZR6VS8cmAZliYGDJvu3exOVP+UUm8v+oM+Y1b0Hf3buoM\nHlxsnTdrNKZ6jx6P7TnoeX7QFRQQsn49+155hejDh4ttVysKEYsWFKk3ys3X8tOZLmYAACAASURB\nVNOhQGZs8qBBVStWvN2RFnUkPLLLPZIzl+P4uH8zqlYo+Z/fCWk5zNrsQU07Cz591Rn1bQWSk69l\n1iZPUrPyWPBaK4wNNUxd705mTgG9mlVn/ekrIooOFxdF5cu7kZQkL7fERBE3GzZIobKvr3SWgRg3\nNm9edD1BQRJdCAuTmqBhw+5ui4kp/dkpikRyOneWF7SPj7R7P0p0Oummq1FDIiKenlJMPWWK3Gtg\noESqnhaKIiKyWbOHH2D7T651+rSkQps2lQ6yr76Swur584t2mD0MffqId9HjcgB/0uiFkZ5nDrVK\nxcf9mtG1aVUUIL9AS0hsKpk5+TSvbcvcLZ4EX0/m84HONKxmzcxNHkTeSi88fmDrWvRtYc/GM2GM\n794Ie1sLPlt3gcO+0YX7WJgYMn1ICyJvpfPzkeAi1zczMiCvQMfEVWfYHRhPy9lz6LZqFea3HesK\nNIacbtafoOspT+R56Hm2uXH2LF4LFlCQmVnqPmlXr5Lg4wNASGwK7/1ymv1eUbzTszFzR7gWttYH\nX0/ml6PBDGpdq4hj9b1k5xUwa7MHapWK2cNaYmIooRWtTseC7d5cvZnG3BGu2FqaMGOjBzdTs+nX\nsia/nypdFFWoIKJo0iQIDYVDh6SVfsQIETqdOomz9dmzxYe0HjkiosncXFyP702/bN0qY0L8/Irf\nR0qK1NR88olEpP76S67xqFmxQiIyy5ZJuurO+i5eFFH2tFM/R4/CqVPS+v64vGZ1OinsbtdOvsuI\nCElzhodLFO3f2hCUL188rfo8ozd41PPMotUpfLXTh5NBN1CrQK1W4eJgS3a+lvCbaXz9ehuqljfj\nk3UXSMvO49sx7ahoJSYqBVodMzZ5EBqbwqI327LLPZIjvtdZ/W4XqpQ3K7zGPq9rfH8ggCkDm9Ol\n6V1DlbwCLb8dD2HHhQia2lfgk/7NsDVREbByJZpy1qymHhk5+Swf37HkAZ5aLbc8PKhc0qCoF5D/\nssGjoigcHvN/JJZSl2bn4oLrrFlY367m3XounJNBN/h0QLMinWapWXm898tpbMuZsOiNthho5C15\nKSKBGrYW2FiaoNUpfLHVi0uRCSx+sx11KpcrXMO3+/w46hfD3BGuONWswKzNngRFJzO8fR3WnQjF\n0swQv0Mli6LERGm7P3kSAgLE3blLF0mLjRolL9MdO4q/QFesEIO/nj1h06aiE+D9/GTSfL9+0qF2\nb1rN21tepElJ8oLu3/9ffAH3ITpaoiL79sGtWxI1mjz5yaWsykJRRKip1VK39ahrm3Jy4I8/xHco\nNBQ6dpTv+UGKqf/TKHr0PMMUaLXKF1u9lJ5z9ykvz9uvvDxvvzJrk4cy8ZfTytBFh5Vrt9KUhLRs\n5fVlx5Rxy08oqZm5hcemZ+cp45afUN78/i8lJSNHuRqXWuz8Op1OWbjDW+m/8KByLT692HbfyATl\n9e+OKQO+PKgc9L6m6HQ6RVEUJeJmmvLyvP3KuhMhJa47dPNmZX3jxsrxCROU1MjIR/Q0nl1SU1MV\nQElNLf6M/wsEnPdRfm/SVFnfuHHhzx8tXZWwbdsUnVZbZN8CrU7JLyj6mVanU6auv6gMXXRYuZmS\npSiK/Nncfj5c6f3FPuXnI0GKoijKz0eClN5f7FMuhMYVOf7XY8FKz7n7lGN+15UCrVaZs9lD6Tv/\ngPLHyRCl19x9yuBvDin1erypAIU/KtVCxcZGUUBRpk1TlGbNFKVCBUW5eFHOuXy5oqhUijJihKLk\n5ha5nFJQoCiTJsmxEycqSn5+0e2JiYpSq5acMyPj7uc6naKsWKEoxsaK0rKloly9+g8f+AMSF6co\nI0fKOnv0UJTw8Md7vYflwAFZ29Gjj/a8ycmKsnCholSuLN/hoEGKcv78o73Gi4w+labnmUajVjNl\nkDPtGlRGp1NQARev3KSytSnlzY2Yst6d/AIdC0a1IjUrj5mbPMi53YlmYWLI3BGuZOUWMHebN9Vs\nisfMVSoVH/Z1pKKVKfO3eRceewenmjb89HZHOjeuyrf7/Jm/3RtFUXCoaMmwdnXYfDacqPj0Isck\nxMXjsXgJALEnT3Kgf3+8Fi4sHAaq58VCq9Ox9koOl+u1K/wspr4rfffto87gwaj+lh/RqFWF0aA7\nbDoThld4PJ+/6kxFK1Ny87V8s9uXlUeCGdymNmO7NeSgTxTbzl9lfI/GtK53txhkl3sEm86GM75H\nI7o0rcq3e/25cOUWw9vXYf2pK1jcTp9d+VukyMZGIkWzZknK6+ZNiRi5uspn774rBbnr19/t4gLI\nyICBAyU19f338nNv9KWgQDra7jhb30lVZWRIx9o770jb/JkzUlf0OFAUabtv1EiKudetk/Tg39OA\nT5sePSQ6d8f48t8SEyOO3fb28h326yeddtu3i1GjngdDL4z0PPNo1GqmDW5O6/oV0eoU1GoVpy/H\nUatSOQwN1Litv4ipkQFfjHQl4lY683f4UKAVA8Yq5c2YNawFITEpLNsfUOJYD1MjA6YPceFGShbf\nHyy+j7mxIZP7OTFneEua17ItHMkwqmNdKlmZsnS/fxHPpP2zv4SMu2JJV1BAyB9/sKd3b4JWr0ab\nm/s4HpOex8RNd3euHTxY6naNWo1LLVsGzHHDoJETh7r8j26Lv8G60oO1OF2KSOD3k6GM6liPFnXs\nuJWazcdrz3Mm+AZuA50Z170RftcS+f5AAK+0sOfVVg6Fx54IiGXFoSCGtK3NoNa1+OlQIEf9rjO0\nXW02nw3DzETSZyWJooQE6YJas0bGXpw5I0LinXfk8y+/hG+/LVr3Eh0tLtgnTkhqauLE4vfj5ibe\nN1u2iCcOSHF2q1YilDZuhB9/fPA2/oflyhURGmPHyuy2y5dFkD2LqSMDA1njvyUoSO63Vi345Rfx\nloqMlI7CF6Ug+kmiF0Z6ngsMNGqmD2mBa107tFoFA7WK4wGxNK1RnvwCaUeuYm3GzKEt8AqPZ+l+\n/0KB06RGBT7q58QRv+tsPhte4vlr2lnyYZ+mHPWL4c9L0SXu06Z+Jfq2qFn4/0YGGj7o60hgdDIH\nvcVTKSk4GIMzh0o8Pj89nUtLlrC3b1/SIiP/xdPQ8yRIDQ/n5Hvvcez//g+PuXPJSy195MyIDnWp\nW7sqm1v/H016dMH+Pq7qd0hMz2HhTh+cHGx4rVM9/K8lMnHVGVKz8lgyph1dm1YjKiGDedu8cHaw\n4d3eTQqFuffVBL7ZfYlujtV466WGrD0Ryh6PawxuW5sdFyIwMdSIKDpack3RvHkiUMzMpFOpWjWp\n+1m9WsTS3+ddeXpKPUxKinSmldTJtWWLFDR/8434HYHUuLi6isDy9Hx8Pj35+WJQ6OgoouBOpOhB\nzSWfR86ehQEDoEkTud+FC6XDbOFCqFLlaa/u+UUvjPQ8Nxhq1Mwc1hKX2rYUaBUMNSqO+MXQoo4t\nKZl5TNvoTqPq5fmkfzOO+F5nzV8hhcd2c6zGax3rseZ4CKeDbhQ7d2xSJq3qVaKPiz0/Hgwk7Ebp\nL8F7aeZgQ2/nGqw6dpnE9Byy4+MxsS5f5jEGJiZYPI72Gz2PhPSoKM5PmcKBV18l5sQJAPLS0tg2\n86syj1txOAgFhWvxMnbj787rf0er07Fwhw9qlQq3V5vjfTWez/+4SE07C75/qz11q1gVpocrWJgw\nbbALmtvhmys3Upm71RPnWrZ81M+J7eevsvFMGANca7Lf8xpGBmr8Dm8sURSlpEhEaNEiGeB66pTM\nverZU7x0du0Sf5t72bFDCrDt7aWbq2nTku8pKkqKtSdNksLft9+WaM2QISWPBXlUXLwoQ25nzJD0\nX0CApKleRHQ62L1bPKU6dBCLhF9/hatXpbvvSfU+REQ8mes8DfTCSM9zhaFGzezhLWley4YCrYKR\nRs2hS9dp36AS1xMzmbXZg/YNK/N2j0ZsPhfOzot3//a+3rkeXZpU5evdlwiJvVvvoygKX+26xPur\nz9CrWXVq2lkwb7s3mTn5D7Smcd0bYWSg5sc/A6nWqRP9Duyn/ujRqDQlt71UHzcB9ZMcwPQEGTFi\nBP3792fjxo1PeykPTWZsLBdnzWJfv35E7NlTbB6ecnw/6dElRxPPhcRxIjCW7NwCcvO1fNjXsdBb\nqDTWHg8lMDqZqYNdKG9hTFP7CrzRuT4LX2uNtbkxeQVa5mzxJCu3gC9GuGJuIn9mYpIymbbBHXtb\nS6YPceHQpWhWHbtMb+caHPWLQaNW4f83UQTiU5SWJrUnX34p4ub4cYm0dOokYuLYsaKpHUWRfQcP\nls6x48fL9rr55BOJEF29Kq3ha9dKaue33x5PW3x6ugihtm2lDsrdXYwbzczuf+zzRm6uCKAmTcSd\nWqOR+iR/fzHkvLcO7HETFwf168Pvvz+5az5J9MJIz3OHkYGGOSNccXKwIV+rw8hAzQGfaLo2rUpI\nTArztnvTz9WBoW1rs+JwECcCxIVYpVLxcX8n6lQux+zNntxKzS78fMrA5pgbG/Dp7xfo0qQqqVl5\nLN7rV2JN0t+xNDVkQq8mnL0cx5I9vmgsLGg5ZQp99+ym+t/c6tKq18Op/1N0k3vMbNq0iT179jBy\n5MinvZSH5pybG+HbtqGUMuZFpS3A77vvin3ufy2R+du8ARjatjbLx3ekSY0KZV7r4pWbbD4Xzv91\na4CjvexramTAiA51MdCoURSFpfv8CY1NZdawFlS+bTGRlJHDtA3uWJoa8sVIVy6E3uT7AwF0bVqV\ncyFxsp4jJYuizEyYOlWM/Dp0kGLkuDgRMMnJUmPUtu3do/LypEh6yhTx/9mwAUxN7/8cd+2S6E1a\nmszaGjfu8dT37NsnImH1aol+Xbgg9zRhggi6F4XUVBF7tWrJs2zQQFKZp06JiH1c3kdlsWqVDJPt\n1+/JX/tJoBdGep5LjAw0fDHCFceaFcgvEHG03yuK7s2q4x0ezze7LjGmawN6OFXnm92X8LoaX3jc\n7GEtJS23yYOsXHkJVi5vxpIx7ejcpCqrjl2mUTVrzl6OY5d75AOtp3PjKtSwNeeQ73Um/nKGyzHJ\nlHNwoNN339F93TpsnJwAcJr8Mer7/CaL2LePqEOH0Gm1Ze6n59HS5O23y9xuWK4cNo6OhWI5Iyef\nHw4G8Mm6C2h1CnOGtWTsS41KHeFxh7iULL7e5UubehUZ0rbkNqmNZ8I45h/DR/2cCkVWZm4+0zd4\nkFegZcGoVgRfT+brXb60bVAJn4gECrQ6AkoQRdbWbuTmSppl3jzo21dSMQEBko4xN5cXbeN7RrIl\nJkpqbf16qdN5EPPB/Hy5xqBBUvzs5QXOzmUf80+IixNn7X79RBgFBopJYXS0pAgtLZ/NQuuH5cYN\nqfOyt5cUYd++UmS9a1dRAfukKSiQgbGvvQbW1k9vHY8TvcGjnueanHwtU9dfJDA6GSMDNXkFOvq4\n2POnTxQ9nWswsXcT5m71wj8qiW/eaEu9KlaATB6f/Ns5mtpXYPawlmjU8ptUURQO+kSz/M9ALE0N\nSc3KY9GbbWlcvey6IZDBnW8tP4GpkYa0rHxedrHn/7o1oJypEYqikODri9193hQFOTns6dmTnMRE\nytWqRaOxY3F45RU0TzJO/g94EQwedTodv7w8CMvrV4p8rjYyov6oUTQdPx4jK6vCz7dfuMra4yHk\nFej4v24NGN7+/uPY8wq0fPzbeVKz8/hxXEcsTYunVE8GxrJghw+vd6rH6M71C4+bsdGDKzdSWfxm\nW1Kz8pi+0QOnmhW4Fp9OZm4BQUc3lSiKtFqp9Vm8WIal/vKLuC0PHiyjPfbsgQr3BLiuXJGXcFKS\nvIQ7dLj/s7t+XVr03d2l8PrDDx+9ONHpJDr02WcSrfjuOynkVqkkQtSvn4wuCQ6WmqlnkaNHJQI0\naFDpz+fyZYmA/f47mJhIBOyDD6Qe7Flg925J5Xl5gYvL017N40EfMdLzXGNiqGHBqFY0qmZNXoEO\nYwM1B72j6OVcgz99ollzPISpg5rjYGfJtA3uxCTK2AaHipZMG+yCZ1g8Px8JKjyfSqWij4s9i8e0\n5bZWYu4WL1Kz8kq6fBEqWpkytltD0rLyGdi6FicCYxm3/CSHfaNR4L6iCODAD2vISUwEIC0igosz\nZrCnZ08CVqwo/FzPw6MrKCApKKjMfbyuJhDgfDfNqdJoqDt8OP0PHsTl00+LiCKAPi72VLI2o3al\ncqVGfv7O8j8DibiVzvTBLiWKossxySza40vXplV5rZNM8tTqFL7Z7UtgdDJzRriSW6Bl1mZPGlaz\nIjoxg4yc/BJFkZWVGyBiaNEieP99ERYbN4qIeOkl6WS6VxSdOCGdZxqNFDQ/iCg6fFgEVlSUpHcm\nTXr0oigkRIbWjh8vL+XgYBg58u519uyB/ftFLD2rokhRxGNo5cqSn8/58+IP1bixDLWdN0+iYF9+\n+eyIIoDly+XPyIsqikAvjPS8AJgYGbBwdGsaVLUm93Za7c9L0fRsVp3tFyLYcTGSuSNcKWdqyNQN\nF0nKyAGgZR073u3dmF3ukez1vFbknA2qWrN8fCd6O9dAq9Px1a5L9+0yAujv6kC9qlZ4XY1nxfiO\nuNS2ZfEeP6auv3+XUn5ePkk7NhX7PDs+Hr/vv2fXSy9xfupUvQ/SQ5CbkkLQ6tXs6d2bw6+9Rk6S\nDBNOTM9h0pqzXLvHnNPcxJBKrq6Ub9WG2gMH0u/AAVrNnIlZ5ZJnlu3xuMb1xAwm93Mq7BYri/Wn\nrnDQJ5o29StSv2rxHMTNlCxmbfakbmUrPurnhEqlQlEUfjoUyJngG0wdJHVw0zbI8NjE9FzSsvII\nPra5mCgqV84NQ0PpBvvhB6kRWroUliyBN96Qnx07ihYpr1kj6TMXF3lJ16lT+r3k5Unh86xZ0Lu3\n1BT5+Dz6FE9enqTxnJzEvPDYMVmnjc3dfTIzJaLSp48Ii2eVI0fg0iVJj91Bp5NaqY4dpdbr8mWp\n34mIEBH1rAVf79ggTJjwtFfyeNELIz0vBKZGBnw5ujX1qpQTcaRRc8w/hq5Nq7LuZCjH/GNY8Fpr\nCrQK0zZ4FHac9WvpwKutHFj+ZyCe4fFFzmllZsQHfR1xG9gc7/B4Np0Ju+86NGoVk/o6EZ2QyTH/\nGNwGNuer0a3p0KjyfbuUfLfuxCg1odTtuvx80q5eRfO4nPFeEBRF4ZanJ+enTGHXSy9xackSsm7c\nQJeXx7nV6wCZYH/tVga2liaFxzWuXp7pQ1zotepn2sybh8XtocElEZuUyR+nQnm1da3C9GxZ6/n1\nWDDrToZSztSQ/3VvVGyfzNx8Zm7yxNhQw6xhLQrrlDaeCWOv5zXe7+NIzYqWTF3vjq2lMVm5BSSk\n55Qoiiwt3TAzE5GzapWktubMkRftp59KAfaqVXfdqnU6KbAeO1a6mw4evH/tyLvvQvXqEtWYO1ci\nHI/aL+j8eRFpc+ZIDZG//11vpHuZN09moH3//bNdW/Tll9CypdxDXp506jk6SvTuTgt+YKB8D8/q\nX/ENG0RMDx78tFfyeNELIz0vDGbGBnz1ehvqVLYkt0CHgVrFqaBYOjSqzIrDQfhEJDB/VCtupWYx\ne4sneQVS3Dy+R2Na1rFl/nZvIm+lFztvizp2jOpYj99PhnIpsnThcoc6lSW1suF0GNEJGTjXsuWV\ne4whS6NSxfKYl/EyBqg08AUaYf0YuLx2LXv79OHom28SsWcP2pycItsjt24lLT2T/V7X6NPCvrAF\n/l7UGhElftcSCY0tPsZFURSWHQigvLkxb96uASqN9GwRPJvPXcXSxJDV73ahknXRXvI7fka30rL5\nYoQr1ubyVjzoE8XaE6G80bk+LevY4fbHRUyNNChIAXfIX8VFkYWFG9bWMv5h40ZJ23z4oaTTliyR\nMR7z598VEFlZUsj81VdSg7RihdTvlMUXX0hKTlEkCjJ9+qPtjEpLE+fmO4Xh3t5iWFhSR1xQkKQJ\np0599sZ93Iu7u1gdfPCBfA+1a4sIrVtXugHPnhU7hKfRYfYwqFQi3J7VdOWj4hn/GvToeTjMjQ35\n5vW21Kp4RxypuRByk9b1KrJ0nx/RCRnMHu7K5ZgUvt51Ca1OQaNWMWWQC5WsTJm52YOUzOKpqtc6\n1aOZgy0Ld/iQmJ5TwpWLMrpTPWzLmbDsgP8DtfwD1OjRg37799Pu66+xqlev2PZ8cysa9u9b5jnS\nIiNJCg5+4Gu+aCQGBJARFVXqdpPMFA7+upXcfC0DW5U8qCsmKZO5Wzz5dN0F9nsXP9dRvxh8IhJ4\nv09TTIxKH9F+OSaF9345jXdEPIYaNYvebEs5s+JF9CsPB+MVnsD0wS7UtJPx9edDbrJsvz/9Wtak\nj0sNpvxxEUVRMDXSEJOYSejxLcVEkZmZG7a2UqOyb590lI0aJRGJzZth0yapM7rDjRvQubNEiHbt\nkqhMWREXRZFxHzNnSnQoOLjkCM6/YdcuWf/atZL6O3dO0milYWYmL+rPPnu063jUzJkD5cvL858y\nRaJ5gYF3jRqfF6ZMkcjci45eGOl54TA3MWTRm21xsLMgt0CHRq3CJyKBZg62fLnTh5y8AqYMas7Z\ny3H8dCgQRVEwMzZg7ghX8vJ1RaJJd9CoVbgNdEajVrFwhw9anY68Am2JIgrA2FDDh30d8buWxKFS\nRozcS3RCBgBqAwMc+valz86d1Jq3iOiqd62Cjbr1wcTUpLRTABC8Zg1/DhnCvr598f3uOxIDAooZ\nFb7IVO3X/777RB89SjfHatiWK/osUzJzWXE4iPE/nSTkRiqfv+rMh30di+3z85Egujatimvd0meh\nHfaN5uPfzqFSQYFW4cO+jjhUtCy23x6PSHZ7RPJu7ya0qGMHQGB0Egt2eNOuQWVe71xfUr+5+ZS3\nMCYyPp0rJ4qLIlNTN6pVgxo1pIB6507o3l2Ey7lzIn6GDbt7hK+vzC67cUMiFv3v89iSk2Wfr76S\nNFtIiIwQeVTExkqn1sCB0uIfFCTRFU3Zzgc4OEhU7FlNPYWEyHM/cACys+F//xPzy19/LWqPoOfZ\nQt+ur+eFJT07n49+O0tUQibGBmrUKhV1Kpfjyo1U5r/WmuiEDL7b788bnesXdgBdjknh03Xnadeg\nMm4DnQvnUt3BPyqJz9ZdYEjb2hioVfx5KZpPBzjjUrvkAotFe3w5HxLHqgldKG9R8m/vqPh0xq84\nhUsdO8Z0qV+kMPej385hlHSTobmXaThuHOZ2dqXeb35uLts7d0GXnlbkcxMbG6p06EDVTp2o0q4d\nRo+hovNxtuvrtFoS/fyIPXUKq3r1cOjTp9R9tVot6zp0xTiteAdfpbZtyWrXmx+jjVn5bpfC6Ex6\ndj7bzoezyz0StVrF0La1GdSmNiaGxd/KX++6hHvYLVZN6FyY8iqJgKgk9ntd48zlOLo5VmPyK8XD\nHh5ht5i5yYMBrWrxTk95S0beSufjteeoXakcM4a4MGuzF9fi07G3tSA0NoWwk1uLiSITEzdq1ZK0\n0+XL0qFVqxb06iVzzQ4eLNpBtG+fdHTVry/73k/geHlJEfeNG6DVSlqoefOyj3lQdDoZdPr555Iq\nW7ZM5rU9y7VCD8KFC2LKuGuX3JdGIzYIZbmG63l20EeM9LywWJoasvjNdlSrYE5ugQ6tohBxK52a\nFS2ZucmDelWseLNLfdadDOXA7ZRJw2rWfDbAmROBsfxx6kqxczraV2BstwZsORdOlQpm1LSzZMr6\ni6w6Gky+tnhkZnz3RmjUapYfCix1ndVtLZg62IVbKVm8v/osc7d4FtY6DW1bB59MI0xGv12mKAI4\nu/tIMVEEkJOYSMTu3Zz9+GOuHThQ5jnucPr0afr370+1atVQq9Xs2bPngY57FGjz8rjl5UXgL79w\n/O232d6uHUdGjybw55+5unNnmcf+dDiYYPu7KsDAyooGr79O39276frLL+zJtaN1g8qFoihfq+Pt\nlSfZ6R7JAFcH1k7syqiO9UoURV7h8Rzzj2F8j0ZliiKAWpUsCYlNpYaNBe/2alJse+StdBZs98G1\nbsXCYuxbqdlM2+BORSszpg1yYeHOS1y9mYpDRUtCShFFxsZu1K8vL97wcOnasrGRDietVqJFd0SR\nokh6asAAadU/dapsUaQo8NNPci61WkZSfP/9oxNFQUEyimTCBImqBAfLf59XUaTTiWVAp07SnRcY\nKKIvLEw6ufSi6Pmh9AS5Hj0vAOXMjPj2/9ox6dezxCZnAXAjOYtKVqZM2+DON6+3Jikjl+8P+GNt\nZkS7hpXp2LgKY5Ia8NvxEKpVMKebY9G3x5C2tQmITmbl4WB+GNeeM8FxrDkegm9kIm4Dm1PNxrzI\n9d/p2Zivdl3iJcebtKlf/LejWqWiU+MqtG9Ymb/8Y/jjVCjvrDxFl6ZVGdauDva2Fmw5d5U5w8se\nM+G3Yy/3awyq0rFjmdtTr17FwNSUjIwMnJ2dGTt2LIOfYAtK1OHDnPv8c3R5JftG3bjoTnpKGpbW\nJUel2tSvRMMJY1BtyKbe4EFU69q10BzzfMhNohIymPTK3fSYoUbN+y870qCaFRUsSk9T5uRrWXbA\nH+daNvRwKrtAXlEUvt3rT3JmLj+M64Dx30RWckYuMzd5UMnaFLeBzdGoVaRl5TF1/UU0GhVzhrdg\n2QF//CITaVS9PAFRSVw9VVwUGRq60aSJFCtnZIjQSUqS+pXatSVSdOdlnJ8vqakVK6Qz7csvyy70\nzcgQz6CNG6UQOiBAUm/3MQd/IHJzpZh6wQKJbJ04IbVOzyt5efKcvvlGxFCbNpLKvLeYWj/p/vlC\nL4z0vPBY3RZHH/56lrgUmY+WnJmLhYkhUza4s+j1tqRk5rJghw8LR7fG0b4CI9rX4XpiBkv2+lHJ\n2rTI7CuVSsUn/Zvx3qrTLNjuw+IxbWnmYMPCnT68+8tpJr7clO5O1QrTcF2bVuWofww/HAzAqaYN\nZsYl/7XTqFX0aFadLk2rcvhSNBvOhHE8IJbOjatwMugGUfHp2NsVr1MB7ILWYgAAIABJREFUUHQ6\nKt8IoeQpX0JG+coYVarMr8cu07ZBJRqV4Obt/fXX3Dh9Go2JCa2rV8ciMRFFUbj+119EqFTYubhg\nUUaYQdHpKMjJQZeXhzY3l7zUVHKSk8m9/WNVty4VW7Qo9XizypVLFUUg88rCTp6h+YCS02kt69hB\nHTvosrLYtq3nw2lcvXyxOWZtG9z/n/K/nwwlKSOXBa+1LpZe/Tt7PCI5HXyDGUNcqFah6OTU3Hwt\ns7d4kq/VMXeEK2bGBuTkFTBzkwdp2fksfrMtvx0P5XzoTZraV8DvWhIRJYgiAwM3mjeX2hyNBk6f\nBj8/KbZu315ezHcymikpEok5flxcr8eNK/teAwIknXX9uhRsDx8uYiY//99Hc06fFsEVFiaF3NOm\nibvz80h6ujzPb7+VZ9W3r0TYOnR4fqNeegR9Kk3PfwJrc2OW/l97KlmZklegIyu3gOy8AjRqNVM3\nujPupUY0rlGe2Zs9iLiZhkql4sO+jjSoZs2cLV7cuB1tuoOlqSEzhrQg4lY6Px8Jpn5Va34c15GO\njaqwaI8v606EFu6rUqn44OWmpGXns/ZEyH3XaqhR07dFTX6b2JVP+jdjWPs62Fgas+3C1VKPUanV\nDDp4gPaLF1P1pZdQGRbvfqrUoQOGGjWHfa9zPuRmiedJCBR3aG1ODqlhYcScOAGKQviOHZx3cyPe\nx6fMtft+/z1bWrRgW9u27OzShf0DBnBszBjOTJ6Mx9y5RO7bV+bx5rVqo1D2WyX/kkeZ2/+OTlEI\njE4iMDqZoe0evqf7yo1Udly4yuhO9QqFjqIoRMUXt3a4HJPMz0eCGdi6Fh0aFQ0T6BSFxXt8ibiZ\nxpzhLaloZUqBVsf8HT5E3ErnixEt2e0RyTH/GBztbUoVRRqNG61aidmehYUUTx89KmJmwAAp9L0j\niiIiJBXm4SEDVu8nin7/XVyNDQzA01NEEUhx879p0U5JkWhTp05SvO3jI23/z6MounlTBJ29vdRG\ndesmHkt3jBr1ouj5Ry+M9PxnKG9hzNKx7bArZ0JegY707HwUnUJuvpaZmz2Y/IojlazMmLbRnZsp\nWRgZaJg5tAVmxgbM3ORBxm1TyDvUq2LF2z0bs9fzGicCYjEzNuCTAc2YOqg5nZsU9fCvXN6MNzrX\nZ7d7JJdjinvjlIShRk2PZtWpW9mKga1qccwvpkyrAAMzM2r27k2XZcsYev4cnX/6iXojR2JUSV7Q\nTn17oVKpcKxZAb+o4sXJN6NiyU+6z9gR85IjVndQ38cEJ/py2SaZWRhQYFuy0zSAyvjB3qSKouAb\nmci8bd4s2u3LlnNXsbe1KDGVWRZanY6l+/yoaWfJ4DYiqhLTc5i5yYOJq88W6UpMy8pj/nYf6lWx\n4q2XGhY71+8nQzkZdINPX3WmflVrFEVh6T5/vMPjmTmsBedCbrLX8xrNatrgey2xRFGkUrnRtq3U\n51SrBidPiqfQhAmS8tq48W6H1rlzInLy8qQYuKzW+jsdU2+8IQLr4kWZ4v5vURTYvl06sDZskBql\nM2egadN/dq6ffpIOuafBlSvwzjtQs6YUiY8dKx1ma9f+s/t5Xli2TMw2/0vohZGe/xQVLEz4bmx7\nbC1NyNfqSMnKw9BATXJGLgu2+zB1cHMMNWqmbnAnNSsPKzMjvhjhSlJGDvO3e1PwtwLrV1rY06VJ\nVZbu9ytsue/cpGqJrdkDWztQp3I5lu7zK3ae+9GnhT1Ghhp2Xowotq0ksWRgakq1Tp1wnT6dwceO\n0HfvXuxbtwSkgDw0NpWc/KKWBIf3n77vOtI0JbjsQeG5LscVj6LcS0pk6R5DIOLhutndNnitWoNl\nUycavfUWXX/+mWHnz9Fq1qxSj8/MyWe3ewTjV5zis98vEHErjcrlTbkQepMhbWvf13387+y8GEl4\nXBqT+zlhoFFzKugGb688xZUbaUwb3LywCFunKHy9+xI5eQVMHeyCoabor9ZjftfZcDqMsd0a0PF2\nJOnXv0I44nedTwY0IzwujU1nw3GqWaFUUQRudOokhodNmoi54syZMHu21Ot8993dmpYNG0QINWp0\nf5ETFiZRpT/+EJH1229FR4X8U65fl7lmQ4aAq6sUV0+ceP8W/NI4cEAct0+d+vdrexg8POQeGjSQ\nFOXMmTIXbvFisUd4kUlOlpo0vTDSo+cFx8ZSxFEFC2PytToS03MwNzHkelIm3+33Z/awlqRn5zNj\nowc5eQXUsLVgxtAW+EYmsvy279Ed7qTcbCxNmLfNu5jYuBeNWs2kV5y4Fp/B9jLSYiVhbmzIKy1q\nst8rqnCcCUBadh5jfjjOx2vPc8zvOtl5xauMVCoVVrVrFxYhO9W0QatTCL5e9J/emthrxY79Ow51\nSi48jkkUUfjRz9/xbkgI08LDWRwVxeKoKM6lphbuZ5qZjK6g9EqokR3qMvDd0Th98AEX+31I5sK1\n9Nu8keYffUSV9u1LHIeiKHIv3+33Z+TSY6w8EkxNOwu+er01qyZ0JiEtBxtL42JF9PcjLjmLdSdD\nGdDKgarlzflypw/zt3vj7GDDync60bre3ejTlrPheIbF89mrzlS0KioeA6KS+HafPz2bVWdYOxlA\ntuNiBFvOhfN2z8Zk5Raw+thlmtqXLzV9Bm507SovqPbtxRhw/HipcVm9Woz37kyZnz0bXntNJs8f\nPlx0rtjf2bFD5pxlZkpUaezYh3pEJaLVwo8/SpTIwwO2bZO29fuYupdJfj58/LEMkr2f59KjQFGk\neL1rVyk69/WVwvVr18Rlu3zx8rwXku3b5dmPGPG0V/Jk0QsjPf9JbMuJOCpvYUyBViE+NZvy5kaE\nxKbw6/EQ5gxvSVRCOl9skyiRs4MtH/Rpyn6vKHa6RxY5l5mxATOGtOBGShY/HAwo87r1qlgxqE0t\n/jh1hZikzIda86utHMjX6tjndTfqYmZkwKcDnFGr4OvdvgxfcpQvd/rgfuVWqVEpezsLypka4net\naNpswITRtP3qK5q88w6Ve/bGpEFjVJZF54BZ2JbxlgVG9xvH8gYNmF+nDh/b2/OxvT3t7p1Kr9WS\nFRdX6vGVrM1o3K8PdsNf57J5NZzq3r+dJz4th0lrzuF+5RbD2tXh9w+6MX1IC5wdbEnKyOWYXwwD\nW9UqFsUpC0VRWHYwgHKmhjSsZs34FSfxCLvF5686M22wC1b3OFj7Riay9kQIIzvULWb6GJuUyZwt\nnjSqbs0HfR1RqVQcD4hh5eEghrWrQ3lzI74/EEDj6tYERCWXKYpOnZIC399/l1lVBw5IBOOOmMnJ\nEUE0Z46M/VizpnTjw7w8mDxZztOzp9QTNWv2wI+nVAICpPh44kQpBA8Kkmv827qblSshNFTGaTzO\nGp78fImcNWsmQ2kzM0XYXb4sQvRBaqKiouR5vgisXy+Rx6pV77/vi4S+K03Pf5aKVqYsG9ue91ef\nISUzj7iUbKpWMMP7ajymhhqmDXZh9mZPluz145MBzejd3J7riZn8fDiIquXNitSrOFS05IM+Tflm\nty+O9hXo5Vx6jN3a3AgLE0OW7ffny9H373K6g42lCS85VWOXewQDWztgZKDBQKOmU+MqdGpchbiU\nLI4HxPKXfwzHA2KxMjOia9OqvNOzcZFrqFUqHO0rEBCVVOT85lWrUuv2b8DMzEzCwsIkOubigt2Y\nMVR1dCT21i1qlJE/GDysJxXa1MTA2Bi1oSFGlpYYly9f5MekrBDGbfyuydqa2pdtUQC3v8e32lO3\nshUaddFnufNiBEaGGvq0sL/vee7leEAsXuHxTOzdhP9n7zrDoyq74Oym92QT0kkPpAMhBAi9SQep\nYkOKqIhS1E8jRbooKtJRQbBRQxNCh9AJpPdeN71tetlsud+Pk0LY3RQI1TvPk0fIvfveu0Xe2XPm\nzHx3KgJ9HY3x6Tg3dNFtWQ0SVNVh08lwuFsb4p1HctOq6kT45kgwdDRUsWp6b6gocRGaWoQf/43E\nKA9LuFjqY51fGLqZ6yEuu6xVUnT9Oul/1q8nIpOVRYLrxjiJwkJqW4WHA8eOkU5IEbKySFQdEkLt\nt08/bSYbgYFEuFavbg6ZbQ/q6ijM9fvvKf/r9m0iSJ2Bigqqgs2dS67YTwNVVRSsu2ULvT5jx5Ie\navDgjhOxLVuIUOTkAKqyMxAvDbKzmzVs/zWwxIjFfxrGehrYNm8APv39Lipq6pErqIGloRZux+dD\no0FM/d2pCPC01fD+SGfMG+GEHEE1Np0Mx5Y5PrA3bfbTGelhiWi+ADsvxMDBVK/FsUZIGQZhacUQ\nVAkhqBLibGgmJnnZtPt+p/ezw6XwLARE52BMr5abvam+Jt4c6IBZA+yRVlCBgJhcFJbXyiVebtaG\n2H8tAfViSVOS+8MICQnBsGHDwOFwwOFwsGLjRgDAe++9h/379yu8P567O3pNU+xM3V7E8AWw6aID\nDTVlxGYJZEbsH0V3c9k4+Oo6Ec6F8jHByxpaam0koz6Eipp6/HI5DoNdzDCxjw0czfXQ3Vxf5nVs\nDH/lcNAUF9MIsUSK9cdDUVpdj23zfKCrqYqk3DKs8wuFp50RhrmZY/XRENg1GEEqIkVDhxIp+uQT\nElcPHkytqtu3SWcEkHfOhAkkoL55k1o/inDxIvDOO6Qhun2bxNmNKC+nKo+ZGRGj9uLmTaqmpKdT\noKyvb+dGdGzdSsRl7drOW7MRhYVEgHbtovH7N98Evvii9Xy21lBdTRqthQtfblIEkJBfVZWiWv5r\nYFtpLP7zMNXXxPZ5A6CjoQKJlEFWcTWsjLRwMTwLSXnl+Og1Z/gFpuHE/TRwORx89XpPWBpq4Zuj\nwTLC549Hu6KroTY2nAhFtVAkcy0uh4ONb3lj8Tg3KHE52H0hFpcjstofNGukjf7dTeAXmAapgsdw\nOBzYm+phwUhnrJjmKfccDyseRBIpErLLUFwhK94eMmQIpFIpJBJJi5/WSFFnoE4kQWRGCe4m5qNa\nKMLMH6/gsz8C5d5jWzgXxodIIsXr3jYdetyvV+IgkUqxcDTFdDhZGMgll3/dSEIMX4Cvp/ZqYQ7J\nMAx2XYxFdKYAq2Z4wtJQGzkl1Vh5OBi2xjqY3t8O6/xCYWGohZT8CoWkaNAgMj9csYLIzKBBRGju\n3WsmRZcukXBaR4eiOhSRIokEWLWK2kPe3lRZepgUMQxNXAkEJNxuT7WotJTG/4cOBbp0IR3O6tWd\nS4oEAhI5L1z4ZBqlR5GaSkJua2vyIXrvPfrdX389PikCiExUVHSOEebzxqFDFECsp9f2ua8aWGLE\nggUAMwNNbJs3ANrqKpAyDPjFVbA11sHJ++moFkrwho89frsSj4DoHKirUuAsGGDN0ZAWgms1FSWs\nmO6Jsup6/Hw2Si7h4XI4GN/bGjvmD4ASl4Ofzkbhm6MhMl5JijDDxx7ZJdW4r8CLqD2wNdGFlpoy\n7ibm4+1t1zB7ewA2nQzHkTspCEwsQK6gWiHx6mxU1oqw62IMFv9+F1M3X8KXf99HZa0IOhoqmDnA\nHrsXDIShTsd223qxBKcepGOEuwUMddpvlhOWVoyrUTlYMNK5VSfsB8kFOHI3FXOGdYeHdcvW4MkH\n6TgfxseS8e7oaWOEkso6LD/0ALoaKpg/wgnr/MJgpKuOjMJKhaTIx4cqOps3EyEaMaK5RdXYydyz\nhzRHgwYBd++Sr448FBRQ++3bb6nd5e8vK8j+5x8yc/z1VwpmbQ0MAxw9ShNvfn4kSr51i/7e2Th0\niEjd1193znqN3kzdupF2aOVK0gT9/LPi16+9YBhg924in229hi86UlOBiIj/nui6ESwxYsGiARY8\nLWyfNwBaasqQMkBGUSVsuujg75tJ0NdSxWs9LPHjmUiEpBbBUEcda9/wQmZxFTafjmhBIix4Wvh8\nogdux+fj3+AMhdezN9VriqdIyC7FB7/cxJXI7Dbv08XSAG5WPBwLTG13pelRKHE5cLXiIa2gAiun\ne2KAkykKy2tx9F4q1hwLwdxdN/D6dxexaO9tVNbKVr4eRnWdCNVCmjSrrBEhv6wG/KJKpOSVI5ov\nQFJu675NaipcRKSXwJyniYWjXTFvOM2Wb3zLG28OdIC9qV67dViNCIjOQWmVENP6t23oKKiiapSw\nIfbDw7p1jVhBWQ02n45EX0djzGiYMmtEYGIB9l6Jx0wfe4zu2RXVdSKsPBwMsYTB4vHu2HgiHNrq\nysgpqVZIiry9Sevzyy8kep0wgaoyjTloEgmwdClVPD75hCbUdBTYS926RdlmsbGkSVq+XDYKJCuL\n1mmcZGsNfD5VEWbNIn1TfDxVR1qLF3kSLFpE1S1j47bPVQSGocraiBFkGxAaSq2zzEyqxvHalrG1\nC0FBdK8ff9w56z1PaGkB69YRof4vgtUYsWDxECwMtbBt3gAs/v0uaurFyCiqhLWRNn69Eo+l491R\nVlOP9X6h2Dy7H7qb6+PrKb2w9lgI/ghIxLyHTP0GOpthSl9b7L0SDycLfThZyJ/vHelhiYCYXGQV\nV2GEu4Vc/yN5mNHfDquPhiAmqxTu7RAoy4OHFQ9/30pGv24mTd46DMOgpFKIzKJK+imugqZa68Yz\nuy7G4lIwBe6u9QuFsnpLExxvR2Osn9VH4eNVlZWwd2FzWNb289Gw5Gm1WrFpDVKGgV9gGvp1M4GV\nkWK7ZkFVHfZdTcC9xHz8/vFQnA7KQHFFHdbP6qOQiIkkUmw8EQ6tBv3Zw75Iqfnl+O5UOHycTDF3\neHfUiyn+o7C8BiumeeKHfyOhxKWwWHnZZwDFfISGkng3L4/aW3PmUBipikqzDubiRapOLFyo4DWQ\nUnbXihUkgj58WH5el1RKomZdXWDnTsWvqURCx1esIOfqU6dI7P20weEAjo6P91iRiCpamzdTm8/L\ni/4+Zcrjeym1ht27qVI0enTnr/2sYWpKrdf/KlhixILFI+hqpI1t83yweP9d1NZLkFlcBSsjLWw/\nH40vJvVEZU09Vh0OxpY5/dG/uwneH+mMvVfjYWGo1aLSMH+EExKyS7HheBh2LxgEXU1ZNSaHw8Hi\nce748Jeb4HA4cDRrX0Pf29EYVkbaOH4v9bGJkbs1D0KRBMl55XBpyE3jcDgw0lWHka46ett3adc6\nU/rawlgLCPgWmDu8G5xtzaGmrAQ1Ffox1O5YGyw6UwAPm7Yn1xThfmIBskuq8fkk+fPnQpEEJx+k\n4+jdFKgocbFwtCsEVUIcD0zDu0Mc0bUVMrX3SjzSCirw05z+0NVofj/JDTsEVkba+PL1nmAYYPPp\nCCTklGH5VE/suhALkViCiloRUm/KJ0VubjTefuIEtcZ++IFaSBs3EkForNZkZFCKu6INWCAgzYy/\nPz1+3TrFmqFdu6gSdeUKER55iIoiV+zgYKqGfPttc+TIi4jqapqk2rKFqkJjxtCfhw17eqP+JSXU\nXly79umQLhbPFmwrjQULObDqooOtcwdAvSEZnV9cDXOeFracjcSUvrbQ01TF8kNBKKmsw7R+thjb\nqyu2n4tu4Q2kosTF8mmeEIok2PxvhELNjpmBJt4Z0g2ng9KRnFcu95xHweVwMMPHDveTC5FR2Lrb\ntCI4mOpBXUUJ0ZltxIC0AUczPfRo0Nm4duWht10XuFnx4GimBysjbWipt38irKxaCH5x1WOTPYZh\ncCwwFW5WvCay9/CxGzG5WLDnJv6+mYSxvaywf9EwjPSwxPZz0ehqpCXTGnsYt+Ly8G9wBj4Y5dxi\nCq6uXozVR0MADrDmDS+oKXOx51Is7ibkY9kED/x9MwnltfWoqhMh5eYxGVLE5fqie3ciPGfPEjH6\n4QfSvXz7LW3mjcLq8nISXysiRcHBgKcnnXPuHD2+NSH1wIF0rZEjZY/V1hKxajSAvHuXqkYvKikq\nKiJXaisr4LPP6LlFRJBR4/DhT9//aMGCzjHIZPH8wRIjFiwUwMZYB1vn+kBNmf43yS6phrGeBn46\nE4nZQ7tBImGw4lAQaoRifDLWDW7WPKw9ForsBhdogOwAvny9J0JSinD0bqrCa03tawsbY138fDYK\nEql8Y0ahSIJ6cbPQe5ibBYx01HE8sGMu2o1QVuLCtasBoh/xM3qeaPRWcrd+PGIUm1WK+OwyzHhE\nW5SSV45lf9zDplPhsDPRxd6PhuDD11ygo6GCM8EZSM4rx9IJHgpNILNLqvDz2SgMcTHDRC/rpt9L\nGQabT0cgq7gK697oA0MddRy+k4KzIZlYONoVZ0MykVdWDaFIgqQbx5B8pZkUcTiboKzsC2trGhs/\ne5bI0JEjJDpeupTOO34cGDIEsLMjgtQ4kfYwGIaqPwMHAiYmFBsyrh2uCb160Xj6owgIoOmsLVto\n0iwsDOjfv+31ngfS0kiLZGVFE2zvvkvi4UajxmcBU1Ma++/SviIrixccLDFiwaIV2Jro4ue5A6Da\nQI5yS2tgoK2GLWei8OFrziiqqMWaYyGQMgxWTe8NAy1VfHMkBBW19U1r9HEwxpsDHfDXjUREZBTL\nvY6yEhfLJrgjvbACJ+/L5qEBgF9gGubvvomL4XxIpFKoKHExpa8trsfkoKii9rGen5sVD7H8UoVk\n7FkjKlMAMwNNGSPF9uLYvVRYGWnD27GlWre8th5CkRTfv9MXa97wgoWhFgDS+/xxPRETvKxlKkyN\nEIok2HA8DDwdNSyd4NFCf7T/WgLuJRbg66m9YG+qi/NhfPx5IwnvDHZAYFIB0vIrIJUAidePyiVF\npqZATQ1FZnz1FU2dnTtHOiKGATZtIrPGKVOIrMgTIVdWkv/QJ5+QJun2bRpDfxyUlJDmaMQIEn5H\nRdHk1ovoyRMaSiJwR0cytVy+nNqNW7c+/vNnwQJgiRELFm3C3lQXP8/xaSJH+WW10FJXxo7zMfh4\ntCsScsrw3akIaDSM8VfWkkBb9FAkxztDusHD2hDfnYyQG/oKAN3M9fG6ty3+vpmEXDlxIYNdzOBk\noY+f/aPx/p6bDSaPXaGmIFy2PfCwNkRNvRip+RWP9fjORlRmyWO30TIKK/EguRAzfGTDYj1tjbBr\nwUD0tDVq+h3DMNhxPhra6iqYO1xxyuquizHIFVRj1fTe0FRr7ktdDOfDLzANH4xyRr9uJriXkI8d\n56MxwcsKaQWViM4sAYcLxF8/IkOK1NR8weORHuXo0WaDxBs3gFGjKLJj7lza7FevJjG2vDiKmBia\ntDp3jsjBtm2PR2IYhqpUzs5E0vbuJWPJ1sJnnwcYhvLfRo4kMXVwMFVqMjNJLNwOU3UWLNoES4xY\nsGgHHMz08NN7/aGiRBtuUUUdlJW4+D0gAQtHuyIwMR+7LsbAzEATq2d6IT67DNvPRTeN0ytxOfCd\n0gscDvDdqXCFFZrZQ7tBX0sNOy7EyIziWxlpY8U0T+xeMBBdDbXx/ekILDtwD25WPJwP46OqrvWx\nennoZq4HVWXuC9FOq6wVIaOw8rHbaMfvp8FIRx3D3GTDYjkcjgxZuhmbh6CUIiwa66rQGftyZBYu\nRWTj03HuLSYGIzKKsf18DMZ5WmFKX1tE8wXYdCocPt1NUSOU4H5SAVSVlBB3TZYUqav7QlOTxM57\n91K1p76eNDy9e1PVZtQomiT75x+Kw5Cnj/nzT9IdqamRP09rMSCtISOD2m5vv00C5fh4Mm58WiP4\nreGbb4gEPgqxmF4PT0/SV5WWEqFMTCRBuKam7GNYsHhcsMSIBYt2opu5Pn6Y3R+NMhRBlRASCYNj\n91Ixf4QzzoXycfB2CtyseFg2wR2XI7Nx7F6z/sdAWw3Lp/ZCDL8Uf95IknsNDVVlfDrODWFpxbgW\nnSP3HHtTPayb1Qdb5/rAzEATD5ILUVsvweE7KR1+TqrKSnC2NGjKJnueiOELwADwsOrY136GYXAr\nLhfXo3Pwel+bdoXFVtTWY8/lWAx0MoVPd1O556QXVGDn+RiM6dkVo3o02y5nFVdhvV8oetgYYtEY\nV2QUVmLN0WA4W+hDT1MVAdE50FRVRszVwzKkSFPTF8rKpIfZvJnIjLExiaUdHWmj79ePptMCAois\nPIraWiIuc+ZQy+3+fTIs7CjEYtLkuLqSz9HZs0Q2TOW/HE8d2dnAd9+RTUEjqqtJ8O3oSATS2Jj8\nmEJCgJkzO5bnxqJtLF1KFbn/OlhixIJFB+BsaYAfZ/dHQ+EIZTU0bXQpIguzBjrg75tJOBeaiREe\nlnhroAP2ByTgTnzzv/Tu1oaYM6w7jt5NxYNk+c7VfRyMMdTVHL9diUd5Tb3ccxrvZd2sPvjlg0Gw\nNdbBtajsFuLs9qIxUPZZOV0rQhS/BF101WGi3z59Ub1YgoDoHCzZfw8bT4RDicvBOM/22RfvuxoP\nkViKj8fIUTIDqBaKsOF4GCwMtVucU1FTj1VHgsHTVseKaZ4oqazDisNBMNHThIOZHs6F8aGjroLo\nK4dbTJ9xOJugre0LqRRwdyfB88yZVAG5eZPIyPXrJHBWUQEePGgOiH0Yycl0zqFDwIEDNJau0U45\n1sNFyrAwigT53/+IZDXmrT1P/PwzVX4++AAoLqbRd2trYMkSes7h4c1GjU9zwuy/ivx8asXm5z/v\nO3n+YIkRCxYdhEtXHjbP7ofGzNDKWhGKK+sQklKIsZ5dsfNCDO7E5+Hdod0wxMUMm09HtHB/nuFj\nh76Oxth8OhIFZfJjQD56zQUSKYNfL8e1eT+2JrpY2RBDcjVKfpWpNbhb81BVJ0J6weON/XcWYjIF\n8LA2bNPlOr+0Br9fS8A72wLw/ekIqChzoKrMxWRvm3aFxUZkFONSRDbmj3CSGxfCMAy2+UdDUCXE\nymmeUGuwbKgXS7DWLxQ1QjHWzeoDiZTB8kNBUFHiwtvRGCfup0NXQwVRlw/JkCJdXV/U1dHU2KxZ\nwOzZ5El04QKNv+/fTy7DXl5UPbKTY9h94gS12mpqiDjNmdPmU22CREJtsp07iQx5e9OIeWAgbYaK\nnLOfFQQCMrF8+20ykbSyAr7/nipiKSlEBHv2fL73+KrjwgUinGOz3a/xAAAgAElEQVTHPu87ef5g\niRELFo8BNytDfPduv6b/gWqFYmSXVCOrqAr9u5viu1MRiOEL8PmkHrAz0cXqoyEoLKfJMS6Hgy8m\n94CWmjI2nghvIdJuhIG2Gj4Y5Yxr0TkITS1q834sDbXh42SKE4FpkEhlKz919WLklMgKugHA2cIA\nylwOYvhP5mcEAEs/modJkybh8OHDHXpctVCElPxyuLUivA5NK8LyQ0GYs/M6zodlYri7BfYtHII+\n9sZgGDKabAtCkQTbz8XAtasBxiqoLp0JycTNuDx8NtGjaXqNYRhsPxeDxJwyrJ5J04erDgejslaE\nUT0scfhOCnTVVRB5SZYU6ev7oqqKKjL9+wOLF5Nj9ZEjVB366itg/nz6OXdO1mixvp5aHNOnk1lh\nSAhVnTqC7dspHmTTJhIrr19PU10PB8k+T6xcSYTv119JS/TVVzRhtmMHYNv22/pccPAgETdJx4u0\nLyT8/amNy1oOsMSIBYvHRg9rQ2x6ty84ABhQRSExtxx1IjGcLQ2w5mgIcgTVWD3TCypKXKw+GoLa\nesoU09VQxYrpnkgrqMDeK/Fy13+thyV62Bhi+/noFkG1ijDTxw7ZgmoEJsrWwu8m5GPe7hv49Pc7\nOPUgvcVknJqKErpb6HeKzmjrL/tx5swZvPnmmx16XFxWKaQM4NGK8LqwvBZCkQTLJnrg4NKR+Og1\nF5joa+B0UAZGeli0K0Lk8J0UFJbXYul4dxkxNgAk5JTht8txeN3bBoNcmjM0jtxNxZWobHw20QPd\nzfWx4UQY+MWVeN3bBn/fTIauhgoiH6kUAZtgYOCL0lLSx5iYkAv1+vW04dfVEdn54QfyC9qzh4jS\nw+DzycNo924iN0ePdtxgMTiYqkQA4OQEREeTceOj13rWYBhy3R4xgp67lhaN2vP5NIlnZNT2Gs8T\n+/eT/9Sr4HRdX0/aovHjn/edvBhgiRELFk+AnjZG+PZtb3AASBlAwkgRkV4CLTVlmOprYsWhIAjF\nEqyb1Qf5pTXYdDK8qaLT3VwfH4xyxr/BGbgVlyezNofDwZJx7iipFOKfm/LF2g/DycIA7lY8+AWm\nyUy0DXQ2w4ppnjDUVse+q/F4a+s1LNp7G3/eSERCTincrHiI5gseO5T2SRGdKYCBlhoseFoKzxnT\nsyt+eq8/Rvfs2uRIfjUqB2XVQkxvR1hsRmEljt1LxawB9rDqIts7qqipx8YTYXAw08P7I5uj4m/F\n5eGP64l4e5AjhrqZY8vZKISnFWN6f3v8dSMJOhqylSJgEwwNfSEQkLdQTQ21ivbupepIXh4RnsuX\nKQR22TJZ3cyFC2TAmJtL3kSfftoxbQ3D0OTagAH05z17SLj8uNljnQWxmAielxeN3Scl0fMKCSEv\nppdhwiwnhzRh8sTxLyNu3UJTVbMzwTBAQgJVAl+m14olRixYPCE87bpg/ZsN5EgKcAA8SC6AlZE2\n1JSVsOJgEPS1VLF8Wi8EpxRi79XmCtFEL2sMdjHDlrORLRyzG2FhqIV3BjvixP10pLQjLmSGjx0S\ncsqaHKQboaaihMEuZljzhheOfDYKX73eE12NtHEmOBNL9t9DdGYJymvqkVUsew9PCwzDIK+0Blci\ns3EpMgs8HbVW9UWPHpNIGZwITIOPkyksDRXnmzWe+7N/FCx4Wpg5QDb2Q8ow+OFMJGrrxVgxzbNp\nsi0hpww//BuBoa7meHeII/ZfS8C16BzM6G+Pw7eToa2hgigFpKikhETW8fHUIjt5koTO4eGk8Sko\nAO7cIa1Ri3uVEHkaN65ZdNzRlldqKmmW5swhLdHhw0TQnqdouaaGKl/du5POiscjYmhlBbzxxuNN\n1j0vHDlCflHTpj3vO+kc+PsDlpbkdv4kkEqpIrlzJ01cmpqSN9aiRaQVe1nADjuyYNEJ6OPQBetm\neWHVkRCIpQxUlDi4HpuL13pYIiilEN8cCcH37/bFR6NdsftiLCwNtTChtzU4HA6WTfDAp/vuYMPx\nMGyd15zP1ojp/e1wIzYXW89FY9s8Hyi1YjDj7WAMmy46OHYvFe7W8sfedTRUMNzdAsPdLSCRShGf\nXYZqoRhrjoYgii+QW02pF0uQXVINQx116GqotCmQloeMwkpE80uQWVSFzKJKZBZVtZi6c1XgPK0I\n95MKkC2oxv9ebzv3wT80Ewk5Zfjpvf5QVZbtffjdS0VQciHWz+oDYz0a8yosr8WaoyGwN9XF55M8\ncPJBOvwC0zClrw1OPkiDhqqSXFJkZOSL4mIiN2fPkvnglSskvD5zhtpqTk70Z3PzlveRn0/Hb94k\nPdCXX3bMT0gsprbcmjXUitLTIzHtzJntX6OzUVJChGjHDvrzzJmUcu/pSccHDwYqXgx/0Xbj4EGq\nrui1L/P5hcfFi0TEO/q/tUQCREbS5/XmTapsCgTUpvX2Jt3ckCGAj8/zF/h3BCwxYsGik+DtaII1\nM3tjzbFQiCREji5HZmNcr664HpuL9cfDsO4NL2SXVGHXhViY6Wuit30XaKopY+V0TyzZfxe7LsTI\npMIrK3GxdII7lu6/h9NBGZjWT3HbiMPhYHp/O/x4JhIZhZUtTAnlQYnLbRI8O5rpITpTgAm9ZfMU\nsoqr8PHeOwAoHJenrQYdDRWoKitBVZmLqqq2J9ouRmThTHAGLHhasO6ig0lehnA014NIIsV6vzDM\nHtp+m2WGIf8odysenCxaJ1SF5bU4EJCA8b2t5Iq7ozJL8Mf1RMwaYN8UJVIjFOObI8FQVeFizUwv\n3InPx29X4jG6pyUuR2RBRZmLqMuH5VaKiotJS3TgAGk3bt8mr6CffiKtz5QpwF9/kabmYdy8SZUU\ngDyMhgxp98sBgFpRCxZQjMfSpRQVcuQIXfd5IDOTRvD37qWWyty5wOefy07cqam9XILf+Hiq4q1a\n9bzvpHPAMBS62x5Bv0hEov1bt+jzeucOkVp1dRJuf/opfW779Wu/jcSLCJYYsWDRiejf3RSrpnti\n/fEwiCQMVJW5OB+ehfG9rXApPAtbzkZh2UR35JXWYMOJMGyd6wPrLjqwNdHFp+Pc8eOZSLhZ8TC6\nZ9cW6zpZGGCytw3+vJGEAU6mMNVXLMQY5maOP28kwi8wFf+b3P4ZZw9rHgJicsAwjExFyMJQG9vm\n+aCkUoiSyjqUVNahWihuCLaVoqa67RbcO4MdMX+Ek4wB45/XE6GroQKrLq23wx5GDF+AhJwyrJ/V\np9XzGIbBrgsx0FBVxvzhTjLHBVV12HQyHG5WPMweSr0ciZTBplPhKCivxc9zfJCSX4Efz0RigJMJ\nHiSR91S0HFLE45HQesMGGoHn8Sjiw8yM2li//UbTVt9+27IKJJWS2ePKlVQ9OXSoYyaLVVXkGL1t\nG7VCHjwg/c79+5Qq/2hV6mkjKoqez5EjVFH54gvSDr1M5Kc1HDrUXIl7FcDhkHeUPAiFFFzcWBG6\nd49aolpaVAX68ksiQn36EMF9VcASIxYsOhkDnc2wfGovfHsyHPViKdSUuTgXysd4TyucD+NDX0sV\nX0/thc8OBGLVkWBsnzcA+lpqGNXDEjF8AXZeiIGjmR7sTFqOH703tDvuJORjx/kYbHizj8J2lrIS\nF1P72mLftQS8N7R7U2uoLbhbk3A7t7RGRgStrqLUamUmPCkLO9tYX1td/hhUNF8ANyue3CkxRTgW\nmAabLjro49D6bnsnPh/3kwuxarontB65vkTK4LtTEQCAr6f2ampR/nYlDiEpRVj/Zh8IxRKs9wuF\nuxUPiTllEIqliLt6RO70WVUVTVNt2gS4uZFuQ1mZWhQ3btAU09y5Le9PICBPo3PnyL9n7dqOTTld\nuECj/4WFdN1ly5qnzfr1o59nAYah57h5M7VlrK2ppTd/vmxl7GXH6dPA5Mnys+tedtTUEKFuJEL3\n7xM50tWlVvDq1USEPD2f/1Tj0wQrvmbB4ilgiKs5vp7SCwAgbCBH58P5GNXDEifup+N8GB/rZnmh\nXiTFmmMhTY7VH49xhaWhNjYcD0O1sGX2maaaMj4d64aQ1CLciM1t9fpjellBQ7Vj4bKuXXngADLC\n7aeJerEECTllCvVQ8pBRWImghrDY1rROlbUi7L4UC5/uJhjobCZz/O+bSYjOLIHvlF5No/5nQzJw\nOigDH49xham+BlYdDkZXIy0UlNegqk4klxTp6/uivp7aZBs20MZx7RpQXk7i6dBQ0hg9SoqCgmiD\nCQwEzp+nx7aXFBUUkIfOuHE0ZRYdTd/en/VmJZEAx4+TOHz4cJq2O3iQHLoXL371SBFAU4QrVz7v\nu+gcVFaSm/jy5TS9qK9P9gk7dwIGBkS2Q0OJwJ87R5+xvn1fbVIEsMSIBYunhqFu5vhyMumFhGIp\nVJW4uBadg8EuZth3NQHRfAHWvNEbqfkV+OlMFBiGgZqKElZO80RplRA/n42WGZ/v180Eg5zNsOdS\nHCpaiQvRVFPGhN7WuBDOR2Vt+8JltdVVYG+qi6jMJzd6bC8Sc8ogkkjh0Yqx46PwC0yFka46hrq2\n3iPaH5CAunoJFo1xkzkWnFKIw3dS8N7Q7uhhQ6QsJLUIuy+Sh5FPdxMsPxgEHXUVCEUSlFQKEX/t\nqAwp0tPzBUDano0bSTh9+nTzJJlEQt+6hw5tfhTD0MYzcCC1zMLD29+WYRjSLjk7E9n66y+a7LKX\nHbR7qqitBX75hSbMZswAtLWpehUeTq/Bq7xx2tk9f8uDx0VZGQ0ENLqfGxiQaejvvwMWFlTli4oC\nioqAU6eoAunp+Wp4NXUELDFiweIpYoSHJT6bSDOwQrEUylwO7iXkw9uhC7acjUJlrQhfTOqBG7G5\nOHgrGQCN6H82yQO34/NwJjhDZs2Fo10glkjx21X5xpCNeN3bFmIJA//QzHbfr7u1IaKfYaBsVKYA\nWmrKsDVpn2thYXktrsfkYlpfWyi3EhYbzRfgfBgf80Z0h5Fuy55HYXktvj8dAW+HLk2j+xmFldh4\nIgxeDl3w9iBHrDgUBLFUCjUVLvJKa5AYIEuKdHR8oaYGTJ1KxoRffUWk5ehR+tbt5kbVoIfH0Csq\nSGD96aeUCn/rFo2rtwfJybTuvHlkxBcfD7z77rMdwRcIiADa2NAItqcnVb4CAmiDZTPMXiwUF5NN\nxJIl5InF4wGTJpF9g6MjsGsXfY7y84Fjx0gL5u7esUnIVxH/8afPgsXTx+ieXbF0PI18CMVSKHE5\niMosgbOFPtYfD4OJvgbeG9oNf99KxvUYyjob5GyG171t8NuVeCTklLZYz1BHHe+PdMaVyGxEpBcr\nvK6BNumWTgeltztc1sOKh4LyWoUZbp2NKH4J3Kx4UOK2b0c9FZQODVUlhXEeALXntvpHwdlSH+Mf\nmbATSaTYeCIMGqrK+N/knuByOCirFuKbo8Ew0dPA5xM9sP54KArLa2Gsq4HMoiokXT8mQ4q0tHyh\nr0/th/376Zv2pk2kwXj3XaqaXL4MGD7UIYyKIlH0hQs0rr51K3nhtAWRiNZ2dwcyMqj18fffz1bM\nzOdT9cDKipy7p0wBEhNpM+3Tuv5dBiEhVLV4zpnFryTy84mYL1pExLxLF/JaOnsW6NGDKkOpqUBW\nFrU8P/yQrCNYQtsSLDFiweIZYKynFRaPpZR2oVgKKQNkFFXCgqeFVYeDMdDJFCPcLfDTmSjEZlHF\n5v2RznA008PGE+EybbMxvbrCzYqHreeiIWwlLmR6fzuUdyBctnGcvTPiQdqCSEIeSu7tbKNV1opw\nIYyPiV420FBVPDdy5E4q8ktrsHS8h4yge9/VeKTklWPFNE/oaqqiXizBmmMhEImlWDPTC9vPxyA+\nuxS2JjpIzC1D8g1ZUqSh4QszM/rGffYs8M8/NHX25ptEGjZtIrL0MOk5cIBaaxoapNmYPr19r9GD\nBxQcu2oVaXaio8m48VkhOprE4fb25KK9bBmN4f/yC+Dg8Hhrbtjw6mh0njeysujzt2ABtTXNzKgi\neeUK6dv+/ptIbVoa8McfpHOzs2OJUFtgiRELFs8I471ssGgMkaN6sRT1YilKquqgra6ClYeDMXtI\nN3S30MfaY6HIL62BihIXy6d5orZejB/+jYD0oa/YXA4HS8a7o7iiDgdvJyu8pgVPCwOdTeEXmCo3\nXPZR6GqqwqaLTocF2ILqemgYyJ8xF0mkSCuogETaMiw3Oa8cQpGk3cJr/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2aM0mohItKK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\n",
"text/plain": [
"Graphics object consisting of 58 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"graph += X_SD_II.plot(X_KS, ambient_coords=(X,T), fixed_coords={th:pi/2,ph:pi}, \n",
" ranges={t:(-10,10), r:(0.001,1.999)}, steps={t:1, r:0.5}, \n",
" style={t:'--', r:'-'}, color='steelblue', parameters={m:1})\n",
"region_labels = text(r'$\\mathscr{M}_{\\rm I}$', (2.4, 0.4), fontsize=20, color='blue') + \\\n",
" text(r'$\\mathscr{M}_{\\rm II}$', (0, 0.5), fontsize=20, color='steelblue') \n",
"graph += hor + sing + region_labels\n",
"show(graph, xmin=-3, xmax=3, ymin=-3, ymax=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Extension to $M_{\\rm III}$ and $M_{\\rm IV}$"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"Chart (M_III, (T, X, th, ph))"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"M_III = M.open_subset('M_III', latex_name=r'M_{\\rm III}', coord_def={X_KS: [X<0, X