{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Carter-Penrose diagram of Schwarzschild spacetime based on Frolov-Novikov coordinates\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_FN.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.rc1, Release Date: 2016-12-28'"
]
},
"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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llGMLCgqCu7s7AgMDkTlzZnsPRykVC9NQ9MknPliyxBvVqwP//AO88w6wciXQsyewejVP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\n",
"text/plain": [
"Graphics object consisting of 30 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"hor2 = line([(0,0), (4,4)], color='black', thickness=2) \\\n",
" + text(r'$\\mathscr{H}$', (2.95, 3.2), fontsize=20, color='black')\n",
"region_labels = text(r'$\\mathscr{M}_{\\rm I}$', (2.4, 0.4), fontsize=20, color='blue') \n",
"graph2 = graph + hor2 + region_labels\n",
"show(graph2, xmin=-3, xmax=3, ymin=-3, ymax=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Adding the curvature singularity $r=0$ to the plot:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"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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+4QPHqvbqRbP588lSgY9fEDkFKnwHeOF/7AaHLsfj5mjNpehU7JOP8esDoahf\nPxGK3ngDTp6E5s1h/Xro1090td6+HRo1qs+ZM2e4dQtatoTISNi1K4eNGz/H2dmZuLg42rVrR1xc\nHL/++iuJiSY0awahoZ+jUvlhaGjImjVriI6OZujQoXh7e7No0aKn/RqfuzIRjACszUQ40tdVUqjR\noFQomLkxmPkDRR3SykNhrDl2HWszQ1rXrczYt+rx15kofj90rdh9chISOPDBB0+1zitJkiRJj+ve\ncR9PUnydZWDK0Q7DyTG6v+uzxgeD8Zo+nZxCDZ/7B5GWnY9v/8Zs+vsm+y/E4uZkzcWoFConHeO3\nxXOLruvTx5d163xo3lycd9a2Lfj5iWaNx4+L+qI334TBg2cwdep0GjY8TFpaDsuWnWPWrJ74+PgA\n0KVLF2JiYhg2bBjm5i1o2hQyM9eQkzMXhULBiBEj2LRpE/v37+fnn3+mU6dOT/kNvhhlJhgB2JiL\ncKSrVKBFi0ajZfr6sywc5I2lsT6/3w1HAJ09qjCsXS3WHg9n/YlwAJLiE9k7+ENunz7N/oEDi/pK\nSJIkSdLLLC41m0wTKwJaD6PAwJjaYz/Bc+IEcgvUTF19ioT0XL7u15gdZ6PZfS4GdydrLkamUDn5\nGMu/vx+K3n3Xl/XrfWjRQoSgTp1gxQro3h3OnYO9e8VS2KFDMGxYS+7c+YOMjMWUL9+Kbdu+49tv\nv6VJkyYMHz6cCxcuYGZmRseOc2jRAqytL5KRMRSFQkG9evWoU6cOU6ZMYdiwsZw/r1uK397jeSn7\nGP0/iek5TPzzJBqNFo0WjPR0mNHHk/G//016TgHT321Ik5piyvGPQ9dYfewGo1tX5da08Zgm3p8p\n0jMzo9WPP1Lew6O0HkWSXgmyj5EkPV9RtzMY9dtxVGoNE9s607ZpbW6lZTNv63mikrKY278xh67c\nYktQBO6O1lyISqFy0lFWLplXdI/evX3ZtMmHli3hyBF4+21YsgTeegsiImDfPvD0FEtrrVuDWg01\nasCBA2D3wCre5s2b6dWrFwqFgl69prN165e4uR0lI+MjbtwIo1OnTuzYsQMQ9+jdWxwnkpr6gr+0\nJ1QmgxFAQnoOE1edRAEUqjWYGuox472GzNoYTEJ6LvMHeuNS0QKtVsuynefJ+eYrKt4Of+g+OoaG\nNP/uOyo1b/7iH0KSXhEyGEnS09OoVCh1H55ZiUnOYuSvRylUafiipwfNa1ckLjWLET8fpVCtZcEg\nL06G3WYarxaXAAAgAElEQVTD3zdxd7TiQlQqFW8f5Y+l90NRz56+bN7sQ+vWIqS8+y4sXChmjBIS\nRF2Ru7s4DLZZM8jNFTvU9u4FK6v7Y8nMzMTV1ZWEhARAiUYzGHPzY6hUUeTm5mJlZcXly5exs7ND\nqxUHyy5dClu2wEvaz/EhZWop7UF2lsbMH+iNWqtFT1dJRm4BMzcE89W7njjamDLFP4ibiRkoFAoG\nN6+KtUHJa7rqvDwCR48mcteuF/wEkiRJkiTkJCayp3dvovbsKfZ6THImI34RoejL3iIUxSaLUJSv\n0jChWz1O30gqForsEo8UC0XvvHM/FB06BP37i+M72raF5GRx3pm7uzgCpEULyM6GJk3EUSAPhqK8\nvDzGjh3LrVu30GpBo2lF587tWL9+MXl5eSgUChYtWoTd3emlxYvh++9FMCoroQjK8IzRPXGp2Uxa\ndRI9HSU5BSpszAz5srcHszcGk5SRx8L3m1DFxpSsjAyW9/qA8nHXSr6RQkGLJUuwb936xT6AJL0C\n5IyRJD25zKgoAoYOJTs+HoWuLg5f+vJGr85E3c5k1G/HUGk0TO/tiXfNCkQlZTL6N9G8cWJ3dxLS\nc/kzMAw3RysuRqVSIfEIf/4wv+jePXr4snWrD23aiKAzZAh88QW0bw8qFRw8CNWrQ1QUNGwotuV3\n6ABbt4KRkbhHeno63377LcuWLSMpKelu14B6+PqeY8IELe7uboSEhNCuXTv27dsHiBminj1h4kSY\nN+/hZ36ZldkZo3sqW5kwb6AX+So1xgY63L6Ty5xN55jay4NyJgb4+J0kPjUbU3Nzhm72I965fon3\nsXZzw87L6wWPXpIkSXqdpYWGsn/gQLLj4wHQqlREzPqCmKBTjF0haoqm9W6Id80K3EzIKApF47u6\nkZyRVywU2SYEFgtF3bsXD0UffwyTJ0OrVuL9I0dEKFKr4Y03RCjq3l0cDmtkBGq1mkWLFtGiRQvs\n7OywtCx3NxQpmTp1GT4+Sv78cxUhISHo6enxww8/AKInUv/+0KsX+PpS5pT5YARgb23KvIHe5BVo\nMDPSIz4tm7lbzjPtXQ+M9HSZ7BfE7Tu5mJgaM3LDCqJrNil2fbqlHd6Ll6BrbFxKTyBJkiS9bpKC\ngznwwQfkpaQUe11HVcDhkaMwS43ny94eNK1pR1h8OmNXHKdApWFcl3pk5Bay8tA16lURoaj8rUD8\nflxQdI+uXX3Ztk0snwUEiENex44VocjYWIQiR0fx2R9+gNhY6NsXNm0CPT2IiIigefPmpKSkcOrU\nKe7cKSQsLAxQ0LXrSGbNEn+P+vr6olAoGD58OC4uLiQmQteuUL8+/PEHKMtgyijzS2kPikrKZNKf\nJzE10CM1Ox9nWzM+6+rG1DWn0Wi1tHezZ0ALF7JyC/j2w4lUv3iQgnLlsZ7xLV3bNijt4UtSmSWX\n0iTp8cQfPcrRceNQ5+WV+H66hR0NFy/Fq1EtNBoNAxYHkJKVz+hOdVBrtPy09yp1HcpxOSYNm/jD\nrF52v5v0W2/5snPn/ZqiTz+FQYPEEpmdnSi0rlBBNNKePRumTbu/5KVQwOXLl+nbty+//vor3t7e\nnDoVTZMmddFosmnQoDmnTh1AV1eXU6dO4e3tjaGhITdv3iwquF68GLp0ScfZ2QwdHR1AdNR+550X\n8c0+vTKY5f6dY3kz5g3wJjOvECsTfW4mZrB45yVmvOdJTr4KvyPXWbzzEqZG+oz9bQEXvd/hr2ZD\niMgrO/0VJEmSpLItKyaGI6NH/2soSrKuQt3FP+HVqBZarZYVAddIycpneIfagIKf9l6lzt1QZBVX\nPBR17lw8FE2eDH36QJs24OAgXrsXiiZOFKFo9uz7oSgvL4/+/fuzdu1avL29CQnR0qLFIDSaLBwc\nnNi/fxO6d3fOHTx4EIDevXsXFVwrFNC/fxKjR/chMTERrVYUevfs+Xy/02fplQpGAE62Zswd4EVG\nbiE2ZoaExd/hx71XWDDQG2MDXXafi2H+tvOYGekz/tvP0bGtyOnwJNKyHj6tWJIkSZKeNVMHB+qN\nHl3ie/EVXKi14HtaNKoBwJ+B19nw901GvFkbQ30dlu6+TG17S67EpFEu9hBrf74fijp29GXXLtGn\n6NAh+PJL6NJFFFq7uopCa2trUVP08cfwzTdi19gXX4hAA7Bp0yZatGhBnTp1OHkSPDwmkZ9/BEfH\nqhw9GoC1tXXR74uNjUWhUNC1a9ei16KioujTpw9LlizBxqYSH34IU6bA1KnP4Yt8Tl65YARQtYI5\ncwd4kZ5TQHlzI0Ji0/j1YCgLBnljpK9DwKV4fDcHY2VqwHeDm6JSa/h89SkycwtLvN/NLVseWgOW\nJEmSpCflPOgDIuoV3wUdaV+P6rMX0MHLBYB1x2/gf/Q6Q9q4YmKgx+Idl6hV2ZKrselYxBxi3S/f\nFF3boYMve/aIUBQYCDNniiaNHTuKep+9e8HSEgoLRWH08uXw++8wZkzxcd28eZOqVauyY4eG5s2/\nJC/vG1q2bMuZMydxvFeUdJeLi0uxnzdu3MjQoUNZuXIlVlYudOgA/v7w558wa9az++6et1eqxuif\nrt+6g4/fSaxMDUhIz6W+sw0DWrgwadVJ8grVeNewZWqvhsSlZDNh1d/YW5vg298LI/37S2vX1q3n\n7MwZmDk60ua33zCpVKkUn0iSXk6yxkiSHs+yfVfZGxxF95Dt6J85QljVRtSY4EO/lq4AbAmKYNm+\nqwxo4YK9tQnzt56nRiVLQuPSMY8OYONv9w9jbdfOlwMHxNlnR4+KnWD164vO1i1aiK3zxsaQkwM9\neogGj2vXllzzc+nSJdq06UpyshJLSxu+/XYcH3zQr8RnyM/P56OPPmLv3r1UrVqVrl278tlnnxEV\nZUCXLqLT9datYsdbWfJKByOAsPh0fPyCsDE3JC41m0bVbOndtCpT/IIoUGnwqGrDV+96EpmUic+f\nQdSobMGsPo3Q19Vh569rSF88B8Xdr8ioQgVa//ILltWrl/JTSdLL5V4w6tSpE7q6uvTt25e+ffuW\n9rAk6aWVnSd2le04dZOqUefw6NubD9vVQqFQsCs4msU7L9G7SVVcKlowd8s5XCpacC3+DmbRAWx6\nIBS1aeNLQIAPb7wBx46J5bFq1cQxHB07wvr1YGgId+5A3boQFyfCSkkNF7Va0Q170iQtgwcX8ssv\n+pTQiPs/HT4sAleFCmLbf7VqT/c9lYZXPhgBhMalM8U/iPLmhsSlZNOkZgW6NXLkc//T6Osq+XVE\nS6zNDLkYlcIXq0/hWa08w+wLODR8BAq1qti99M3NabVsGTbu7qX0NJL08pEzRpL06LRaLb8eCGHT\nyQgUQMcGDnzyVj12BkcTeTuTHWei6NbICTdHK+ZsOkc1O3Ou37qDadRBNi//tug+rVv7cuiQD02b\nwokT4tyz8uVhwAAxM+TvD/r6oj+Ru7sIRZ98At999/CYNBqYMAG+/VbUA82ceb/uqCRXrogQ9eOP\n9xtBrlwJH30ELVvCxo1i6a4seiVrjP7JtbIlX/drTNKdPCpbm3DiWiI7z8Yw4z1PClQaluy6jEqt\nwc3Rmqm9PAgKS2DfV18/FIoACjIyOPjhh8QfO1YKTyJJkiSVBfnp6ZyZMwdVbm6x19UaLd/tvMSm\nkxEoFQpa1a3EmM712BwUwZJdl/nrTBRvNnCgQVVrfDefo6qdGddv3cE48kCxUNSypQhFTZqIULRs\nGZiZQb9+YhfamjUiFN26BfXqiVA0YkTJoaigAAYOFO8tXSrqgf4rFCUkQOfOcPasqFnSaMDHR3TV\nHjIEdu8uu6EIXpNgBFDLvhyz+zUiMT0XB2sTjly9RcDlOKb28uD0jdvM33oetUaLl0sFJr3twdbG\nA0m3ti/xXurcXI6MGkXU7t0v+CkkSZKkl11OYiIH3n+fsNWrOfzJOPLzxK7nQrWGuVvOsfdcDLo6\nChpXL8/4rm6sPXaDX/aHoFBAm7qVaFrTjjkbz+FY3pQbtzIwijjA1hX3E02LFr4EBvrg7Q0nT4pC\naoAPPoAPPxSNFXV1ISJCzBTduiXeu9uYupisLNGQceNGWLcORo3672fLzhafV6lg507xe3r3hvnz\nxTLesmWiQWRZ9toEI4A6DlbM7teYW+m5VLExJeBSHH9fS8TnnQYcDUlg0V8X0Gi1tKpTiY96NmFX\nq49Itit5gVSjVvMarEJKkiRJjyEjKor9AwZw58YNAG4fP8bqYWPJyy9kxvoznAhNQF9XSR0HKz7v\n2YBVgddZFRiGUqHgDVc72rpVZtaGszhYmxCemInBzf1sW3k/FDVr5suRIz40biyO3vjjD8jIgOHD\nxQ6zn38W3aZDQqBRI0hKgnffhRUrHp4FSkoS/Y3+/lvM8vTu/d/PplaLGamQEFE/pKsrls327hV1\nS5999t8zTWXFaxWMAOpVsWJWn0bcSsumSnkz9p6P4VxEMpN6uBNwKY4luy6j1Wrp7FGFDzo1YHfz\nISQ4uT10H4dRn+LUuXMpPIEkSZL0MkoNCWH/gAFF557dYxB8jEsL56MDGOjp4GRrzrTeDVl+8Brr\nT4SjoxSzR509qjBz/VkqW5kQcTsT/fD9/PX74qL7NG3qy/HjPnh6imUsPz9xlMenn8KkSaLjtEIB\nwcHQtKnYFdalC6xe/XBgiYiAZs0gOlps72/T5v8/32efiUC0fr0IX40bi9moo0dLLuYuq167YATg\n7mTNzD6NiE/NxsnWlJ1nowmJTWdcFzd2BUezbN9VtFotXT0d6dOqFvsa9+VWrfvnq91s/Bbu7w8s\nxSeQJEmSXiaJQUEceP998lNTS3w/JuAQUVEJ2FoYMbuvJ7/uD2Hb6Uj0dJS4O1nTw8uZGevPYlfO\nmKikTHRv7GPHH/dDkbe3LydO+ODhAefPixqikBD4/HOYPl10l1YoxM601q3F4bATJ4qzz+6eylHk\nwgURnDQaUZ/U4BFOxFq8WDSDXLpUzBw1awa2tmLW6lGuL0te27Mw6jvbMP09T75aewZnWzO2nY7k\nHW9nRneqw9LdV0jOzONaXDpz+jUmJ1/FNkUP2pmYkZGRTZMxozA31i/tR5AkSZJeAvFHj3JkzBg0\nhSU3CTatWo2dzQajMDPj6/6NMTc2QE9Hib6ukpqVLOnTrDrT152hvIUhMclZ6NzYx85V3xdd7+Xl\nS1CQDw0awKVLsGEDHD8udoXNmydmi0Asab39Nnh5wfbtohj7nwIDxexO9eqwa5fYVv//ZGXBggUw\nfjzk50P37uJ/fn5gYvIk39jL7bWcMbqnYdXyTH/Pk9iUbJzKm7H5ZARJd/L4qH0tjoUkUKDSMHHV\nSdq729O+vgMHXdqj6jmEcxEpsr5IkiRJAsDSxQXDB47KeFC5em7saTucLCNz5vb3wsrUkJuJGRy6\nEk+1CuYMalmD6evPYGVmQFxKNoqwfex6IBQ1auTLqVM+uLmJLfKbNolDYBcuFDM490LRpk2iKLpt\nWxF4SgpFmzfDm2+KJbDDhx8tFAGYmoo6pKwssWx3bybqVQxF8JoHIwDPauWZ1rshcanZONmase5E\nONl5Kj5oXZM7OQXo6iiY/GcQnTyq0My1Ahej0+jgbo/iPyrMcpOSyPuX6VRJkiTp1WJsZ0ejJT+Q\nZ2Bc7HXbps3Y03IoyWo95vb3ooKlMdFJmfj4BWFnacSQtq7M2HCGcib6xKfmwLW97P7zfihq2NCX\nM2d8qFsXrl0THay3boWffoJffrl/nMfvv4sC6549Rfi511foQcuWQa9eYkZp586Sg9O/SU8Xu92W\nL4dffxWzVMpXOD28wo/26Bq72DK1lwexyVk4lTfD/+h1tFot/d6oTkpmPiaGunzhf4ouDR1xc7Jm\n1sZgrsamlXivgowMDn30EQcGDXqoAE+SJEl69Wi1Wpaeu0Ngq6FgYAiAfcdO7G0ykJhMFb79G+Ng\nY0pcajaT/YIoZ2LA8A61mbXhLGZG+iSk56IN3cMevyVF92zQwJdz53yoXRvCw8XSmL+/CEGrVsGw\nYeJz338PgwfD0KFiaeufW+W1WlGDNGIEjB17v+njo7p5U9QjnT4tluqGDn2676oseC06Xz+qE9cS\nmL0xGAcbUyJvZzKkjZg12nQyAntrE5Lu5DKlZwM2nLhJVFIm8wc2oZrd/S6/OZnZrHlvIEZR1wB5\nhIj0+pCdr6XX3YGLsSRl5HFw3Q46G6QQ7PEWF6PT8e3fmDoOViSm5zBh1Un0dZSM61KPWRuDMdLT\nISkzD1XIbvb7Ly26V/36vly65EONGmLX2LZtosP09u1ih1nv3iLwzJ4N06aJjtXz5z+880ythpEj\nxezS3Lli2e1xttMfPy46aFtYiFmmmjWf0Zf1kpMzRg9oWtOOz99pQHRSFo7lTVkRcA1rUwO6ejoS\nl5JNZWsT5mw8x6iOdbGzNObz1UHEpmQBoFGp2DtmXFEoAshNTOTAwIEknTtXWo8kSZIkvQBaLaw6\nfA3HFs256t2D85FpTOzmTnU7C5Iz8pjsF4RSAWO71GXOpnMY3g1FhVeLhyI3NxGKqlcXW/G3bxfH\ndOzYIZbJ7oWiSZNEKHJ0hMqVHw48eXlieW35cnFUx+TJjxeK/P3FFv7atSEo6PUJRSCD0UPeqFWR\nKQ+Eo18OhOJgbUKH+vZE3s6kWyNHqtmZM6dfY8yN9PHxC+L2nVwu/fADuadPPHS/gowMAoYOJS4w\nsBSeRpIkSXoW8lJTSTh5ssT3NgdFsHD7BTq422NiqMfx0ERGdazDH4ev8c32C/j4nUSl1vBZVzfm\nbTmPro6ClKw8Cq/s4sDq+6GoXj1frl71oVo1cezG9u3g6wsBAfDXX6K4Wq0WzRwXLoRatSA5Gby9\ni48nPV0UWe/eLWqSPvjg0Z8zLU0svQ0YAH37wr598C915a8sGYxK0KJ2RXzuhqMq5U35ce9ValSy\npGWdSmw9FcnJsEQsTQzw7e+FjlKBj18QFXr0RmvvXOL91Hl5HBkzhpvbtr3gJ5EkSZKeVnZ8PPsH\nDuTwiBEknj5d9LpWq+WPw9f4ed9VejepirGBHnvPx/BhW1fWHr9BTr6K8IQMsvNVTOjmzoJtF1AA\n6dkF5F3exYE198/oqFvXl9BQHxwdRUfq7dvFjNC9rtQdOohzyQYMgN9+EzvLwsNF8HkwGMXHQ4sW\nYlv/wYOiweOjurd9f8YM+PprMdNkYPAMvsAyRgajf9GqTiUm9ahPTFIWVWxMWbLrMu6O1njXqMDs\njcGcDU/CxtyQuQO8yS1QMX3PDep+9wPJFUuuJ9Kq1YT5+6NRPXwwrSRJkvRySr9xg339+5MZGYmm\noIC9H4/g4vEzaLRafthzhdVHbzCkjSuG+rpsDoqgX/PqbAmKAMDMWJ/MvEImdndn0Y6LqDVa7uQU\nknNpJwEPhKLatX0JC/PB3l7M9mzbJpbKLlwQW/NbtoTcXLGjbNMmaNcOzpwRTR7btbs/1mvXRKF0\nWppo9NikyT+f5t8dOyb6G6nV4r5Tprwax3s8CRmM/kObepWZ0N2d6OQsHGxMWbzzEt4u5WngbM2M\n9We4GJVCxXLG+Pb3IiUzj5V/x9J5xa8kOrs/dC9FhUq0+uknlLqvbU9NSZKkMiUpOJgDAweSe/t2\n0Wu6+bmETfmMa+dD2Xchlk/eqoe+rpI/A8Po1siRXcHRGOrpYGakT3JGLpN71Of7XZcpKFSTlVdI\n9sUdHFp7PxS5uvoSHu5DxYrigNYtW8TusevXxRJakyaQmSlOsw8IEFvy9+0T2+bfeef+WE+dEt2o\nTUxEN+vatR/9OY8eFd2yFQo4cAD69HkW317ZJYPR/9HOzZ7x3dyISc7C3tqEb3dcomWdStRyKMeX\na05zNTYNJ1sz5vRrTFRSFr8eucl7vy8jvs4bRffIMTLHYMKsf20AJkmvij59+tCtWzfWrFlT2kOR\npKcSGxBAwNChFGRkPPReQUoKCT99y++jW6GjVLBs31Xa1qvMwYtxWJkaYGGiT1xKNpPfbsCPe66Q\nW6AiO19F1vkdHF73Y9F9atb0JSLCB1tb0VF6wwaxrT4+XjRgbNgQUlJE08bgYBgyBNauFfVFQ4bc\nH8+ePSLY1KwpQo6Dw6M/544d4lqtVnTFbt36Kb60V4Tcrv+I9pyL5tsdl7C3NiE+NYcJ3d3YFRxD\nRGIG8wZ6U8XGlJUBoewMjqZh1fKM6VyHFeO+ovzZg1Sc/R1vdmle2o8gSc+N3K4vvUpubNzI6Rkz\n0Go0Jb5fztWVVsuWcTpJhe/mYDo2qMKlqBRMDPUw1NMhJC6dKW83YEVAKHeyC8grVHHn/F8cWf9T\n0T1q1PAlKsoHGxvxs7+/6E2UnS1qg1xdxQGtHTqIQuy9e8VSWUgIzJx5fyx+fqKPUceOsG4dGBvz\nyH78EUaPFjNF+/aJAPa8/PknDCwjR4zKGaNH1LFBFT55qx6xKdlUsjLmm+0X6dLQEQcbU6b4B7H3\nfAxbT0VSt0o5Tt24zfKD1xj14xxujvDl56s5ZOUVP0NHpS75D5wkSZJUunISE/81FNk2akTb33/n\n8h0t87aco1WdSozpXJdpvRtibqTH1dg0Jnd354/D10jLzidPpebOueKhqHp1X6KjfbCyEge8+vmJ\nnWMFBXDkiAhFkZHQvLmoFzpyBDw8xC6xB0PRwoUibAwaJJbgHjUUqdUwbhyMGiVmivz8nl8oys0V\ngW/QoOdz/+dBBqPH0NmjCqM71SE2JRs7SyMWbjvPO17O2Job4X/0OkPa1OR8RCo1Klpw6HIcyw+G\nMvXDtswd4IWp4f12pDvORjHhj7/JK7hfiF2YnV0ajyRJkiT9Q72RI8lu3Oah1+3btaP1zz9zLa2Q\nWRvO4lndlvHd3NFqtawKvE7wzWQmdHPH/+gNkjJyKVRpSDu7jSMb7oeiqlV9iYvzwcJC7PhauVKE\nG11dEYCqVYPQUHjjbjXGsWNiW/6DNBrR1HHiRFEk/dtv4vpHkZkpDoBduhTat4dZs0Tgeh5u3BDF\n4H5+op9SWSGD0WPq6unEyI51iEvNwdbSiAXbLtCnWTXMjfTZejqSkR3rcP3WHZzKm7HjbDR+gdep\nUcmy2D1qVrIkMimTWRuDUak1RGzfzo4uXUgLDS2lp5IkSZLu2X0umk1OHYi2r1P0WvX33uONRYu4\nmZrHtDWnqWVfji96NkCpVPDN9oscD01gfFc3Nvx9k4T0bFQaLSlnt3Fs47Kiezg7+5KQ4IOZmTiY\n9ddfoV8/cW5ZYCBUqSJqiZo3B0tLUS/k5FR8bIWF8P77sGgRLF4sttU/6u6x6GgRuI4eFbVF+/bB\nF188gy+sBJs3ixqp7Gw4ebJ4TdTLTgajJ9C9kRMfd6hNfGoONuaGLNh+gUEtXTDU02XDiXDGdalH\nbKpYclt3Ipx1x28Uu96logXTentyPiKZubOXc3LqVHJv3+bA+++TeOpUKT2VJEmSdDY8iaW7r2Bp\nZki96bO5U6k61YYNp9GXXxKTmsPn/kE42Jjy1bue6OkoWbLrMocuxzHurXpsOxNFbEo2Gi0kn97K\n8QdCkZOTL4mJPhgZQbly8MMPYqamQgVRaF2pkpgdat0anJ1FUKpYsfjYsrLElvp168TRIGPHPvpz\nnToleh9lZIhdax07itef9Zb8ggL47DOxe65DB9FWwP3hjdovNRmMntA7Xs4Ma1eLW2k5WJsasmD7\nRQa3qQkKWH3sBpN61CctKx8bM0NWBFzjrzORxa73qGrD6Fr6OGz6Aa1aDUBhVhaHPvqI6L17S+GJ\nJEmSXm9h8enM3HCWhlVtGNO5LssOhxPRfyJ1RwwnMT2XKf5BWJsZMrtfI4z0dVi27yq7gqMZ3aku\ney/EEHk7E4UCkk5v5cSmn4vu6+joS1KSD4aGIggtWiS2xDs5waFDYGsriqs7dIAGDUTx9T83MScn\nizqgY8dEI8bH2VK/caPohVS1qjjeo06d/3/Nk4iJgVatxDLd4sWwfj2Ym4NKJWqlygoZjJ5CryZV\n+bCtK7fScyhnos832y8wtK0rBSoNqw6H8UXPBpga6tKhvj1Ld1/h4MXYomszo6LIWTQdPXXxomxN\nYSHHxo8nTG53liRJem6yYmJQ5eUV/RybksXUNadxtjW728j3HI2qlWf2gCbkFajx8QuiQKVhYKsa\nmBnqsSLgGltPRTK8Q20OX4kn/FYGSqWCxKAtxUJRlSq+pKT4oKcnzjTz9RWhpnZt0TPIyko0beza\nVZxNtmKF2GX2QOskIiNFj6LISDGT9GBTx/+i1Yqltt69RXPIgAARwp6HPXtEqIuNFUt1Y8fen42a\nOlXMVpUVMhg9pXebVuOD1jVJSM/F3Eifb3dc4uP2tcnMLWRFQBjzB3nzWRc33qxvz8LtFzkRmgCA\noY0NJtVdSr6pVsuZ2bO5sHgxspuCJEnSs5V88SJ7+/blxKRJaFQqUjLz+Hz1KcyN9GjsYsv3uy7T\nwd2eL3p5kHs3FKXn5JOZW0hCWg7+R66z/kQ4H7apycnriYTGpaOjoyDh5Gb+3nw/FDk4+JKW5oOO\njlgemz5dLJ95eooZIgsL+OMPcdhrz54iFPXoIY4ByckR97h4URQwq1TitHsPj0d7xvx8EbC++AK+\n+kq0AzA0fPbfpVotji7p3FmEn3PnwMvr/vs7d8K8efDRR8/+dz8vso/RM+J/5DqrAsOwtTAiJ7+Q\nsZ3rsXT3ZezKGTO3vxeG+rr4bj7HybBEZvZphEdVG0Kiktg+6lMcIs796307rFmDjZvbC3wSSXp8\nso+RVFbEBQZybPx41Lm5AOR7t+NU43fIyFXRpKYtf52J5t2m1RjSpiY5BSomrTpJdHIWBSoNIzvW\nIb/wf+ydd1hV9R/HX/de9hQZCjhw4N4CjtyVK1Nzz5aV/dSWZeLeu7SyrMyRC0VNc+feAxAVRUEQ\nB0OG7D0u9/7++CRI4EjNeV7Pw4Pec+73nO95xPvmM96ffJbuD2ZQK1eCopI5fz0eI0MNN09uwmfz\n4qkBdHoAACAASURBVILrODvPIi3NE51Ousq+/FKKptu2lcJkU1NYuFAiKx9+KK33HTuKV9HRoxJR\nOnJEaooqVZJ5aWXLPtgeExLEFfvUKel6K1dO5qkZGT3eZxkbCwMHSjpw+nQYPRrUd4RbwsMlitS8\nuYw5UT8noZjn5DaffQa2cmVgS1fiUrIwNTJg4a5Ahnesw83EDCas8yNXm8/otxrQoJItk9ef5lJk\nEjUr2tNnyU9crdO6xDUbfv21IooUFBQUHhNhmzZx5JNPCkQRgPGpfdge/pNX6zmz7XQ4H7xWgyGv\n1iBHq2PiWj+uxaWRp9XxVdf6oNezdH8wfZtXISQ6hfPX4zE21BB1oqgocnKaRXq6J/n5ULcufPKJ\ntOR37ChDX01MREh8+qm03S9cKFGjCxckJVWrlvgStW8vnV2HDz+4KLp8WSI2ly6JYClfXlJvCxc+\n3md59KiInsBAqYkaM6ao8NFqpePOwkKiYs+LKAJFGD1WBrd2pX+LqtxKzcbYQMOi3RcZ0bEOV2NT\nmex9Gp1Oz/hejXF1tGa8ly9hMSlUKmvNkF/mEdKsW5G1rtZtS8133nlKO1FQUFB4cdDr9Vz4+Wd8\nJkwoaHa5k1oBe2iVdY1JvRvTu1kV8vJ1TP37F1j0esb1akRevo5Fuy/xlocLEQnpnAm7hbGhAZEn\nNuH7Z6EocnScRUaGJ3l5IhyGDJGUVo8eMvLDyEgGxE6YIB5Cs2eLuePBgyKa3N1h8WLo1Uv8hnbu\nlALmB+HgwcLIkK+vdLr16CH1Sf+mg+1e6HQwd65EvqpVk9RZmzbFz5s+XVKCXl5SR/U8oQijx4hK\npeKdNtXo07wK8WnZGGhU/Lo3iBGd6hAUmcS0jf6oVTC1nxtOpc0Zs8aXyIR0HG3M+fz7SYS0fwed\nSk1UlUZcatKVhLTs+19UQUFBQeGu6LRa/KZO5cKPP971HKfWrXFp14bmNcqSr9Mza9NZzlyNR61S\nMaWfO7l5+fyw4wJvNK5AfFo2PiGxmBoZEHF8YxFRVLbsLLKyPMnNlXqb/v0lTTZokNT4qNXw8ceS\nNvv+e6n/+ewz6d7y8pLi66lTYehQGDZMptwbGz/YPpculQiTu7u049vZSRrOykq60gwN77/G/UhM\nFLE2erR87dtX3FIAJJo0bZrUNr3yyqNf90mjCKPHjEql4v121enVrDIJaTmoVLB0fzAjOtXh3LUE\nZm86i7GBhiGv1iAtK5eRv58kLiWLUubGjJr9BVcGjOKoe2/ydSrGefmS8Y9RIgoKCgoKD05OUhJR\nhw/f9XiVnj1p9cMPGJiaotPr+X7HeU5ejsXD1YHZg5qQlZvPN1sDeL2+MxnZeRwPjsHMxJAbxzfi\nt+W3gnXKlJlFTo4nWVkiBrp1k5EbQ4dKUbVOJ+m0JUuk7ufTT8WX6Phx+OUXKboeNkzExIwZ8MMP\nD5Z+0ukkAvXBB/K1Y4eIoUGDpItt69birf8Pg5+fFH6fOCHXmDHj7m7bv/8uz+C/Mo/8r1GKr/8j\n9Ho9i/cGscnnGjbmxmg0Kga1dGXhrkBa1nTk0zfqMmW9HwHXEyltYcyiD1tiY2FMrjYf7+NhNKlW\nhjGrfahcxpIZAzwwMtAUWV+Xn49ao7nL1RUUnixK8bXCs0xySAjb+g1Ek5NZ5PU6w4ZRd9gwVCoV\ner2eX/cGsdnnGqO61ee1euWkWWaDPy1rlkWjVnPgQhSWpoZcO7oR/62FosjBYRZarSfp6eI11Lo1\neHrKPLL58yE7W2qIdu+WKFDPnoX3kJsr4mbgQEmlLV4s6bcHISNDBNCWLXKdzz6TFvmxYyVFt20b\nvPHGoz07vV6GzY4cCQ0aSHSrYsV7v0enEyPJUqXufd6zihIx+o9QqVR89HpNunu4kJSRgzZfh9ex\nKwzrUIsjl6L5efdFpvX3wK2KPYnpOXyy9BhpWXkYGWgY3Loa1RytmdrPjctRyczedJZ8XaF+zcvI\nYO/AgVzdvPkp7lBBQUHh+SC5lCMn271Hvlp+mdSrVLhPnky94cNR/W22s/pIKJt9rjG8Y21eq1cO\n/7BbTN94hiauDhgZaApE0dWjG4qIInt7EUVpadChg6TQPD2lGHn+fIkKvfGGFChv21ZUFIEMWe3Y\nUWqJNm9+cFF08ya0agV794ow+vxzEUVr14pX0ty5jy6K0tKkgHrECIl8HT16f1EEEul6XkURgGby\n5MmTn/ZNvKioVCrcqtiTkpnL+RuJGGjUhESnMLi1K+uPh5GWlcuobg24HpfG5ZspHLl0k44Ny2Oo\nEb3qYG1KpTJWrD5yhaSMHDyqOpCbk8vODz8m9fw5Ig8cQG1oiH2jRgU/3AoKT4OcnBxmz57NmDFj\nMH7QoggFhSfEseAYAtI0RBvZUC7mMq2++47KXQpVw6ZTV1l+8DLvta1Oz2aVOX8jgUnr/KhfyZbS\nFsbsPheJtZkRV49s4My2JQXvs7ObhV7vSWqqGDTWqCEppmnTYMoUcXvu0KGw26zdP+bSRkdLx9jl\ny3L89dcfbD9nz8pamZlS59P6jsZmExMZOTJ27KON+7hwQe7tzBkZAvvVV/CyJCkUYfQfo1KpcKtq\nT1J6DoHhiahVKq7GpdG/RVXWHgsjOzdfZqslZHAxIokjl6Lp3KgCmr+Ty+VsLbC3MmHloRBUej2B\n0yaRf+ZUwfqxPj7kJCbi2KIFquepH1LhheK2MAoICMDb2xuAunXrPuW7UlAQDDVqNvteJ8HCAaM2\nHejW81XUf6uGv86G8+NfF+nTvApvt6nGpcgkxnn5UrOcDU42Zuw8E4G1mRFXDq/n7B2iyNZ2FuBJ\nUpJEgZydJUI0b55EjKKjJa0WESHi5U7TQ4CQEOnsSk+XbrLGjR9sL1u3SiSoUiVxsnb9h0+wra2s\n+yiiaMUKqXlycJB7b9Xq4dd6HlFqjJ4QUtR3gb/ORmBpaoi1mRGv1yvH8oOX6feKuGd/syWAfRei\nqOFcim/faYaBplDorDt2hYDvFlA36FCJ65dr147mc+diYGr6hHakoFCIUmOk8LTJjInBrASzn5jk\nTIYtPkpGjpZXqpfBs0fDgprNP32u8eveS3RuVIERnepwJSaVr1edopKDJVXLWrHF74aIokPrObu9\nUBSVLj0LtdqThATpPLO0hF9/lRlhw4dL0fNrr0mabN8+MXi8Ez8/cYq2t5dIUYUK99+fXi/Ca9Qo\nGe+xciWYmz/KEytOVpZ4Li1dCu+/L/t5GT9SlBDDE0KtUvHZG3VpX78c6Vl5JGfkcCAwikGtXFl3\nPIy1x64wqnsD3m7tSmh0CvO3nUd3h2bt07wyruXu3loQeeAA+4cMITsx8UlsR0FBQeGZQK/XE/jr\nr2zr3JlbZ84UOZackcMnS46RkaOlfYNyjO/duEAUrT9xhZ/3XKJSGSuGd6rD9bg0xqzxobytOdWd\nSrHF7walzIwIPeRdRBSVKjULjUZE0dtvS2fW4sXSbTZ8uKTFWrYUIXPsmIii69fF7Rpgzx6J6FSt\nKjU7DyKK8vKkzf+rr6QDbcOGxy+KQkPFA8nLS7rmli59OUURKMLoiaJWqfi8Sz1eredMRraW+NRs\njgfH0Ld5FVYcCuGPU1cZ2Koao7s34GBgFD/tCiyYlaZWq+k5czy+Hj3R3SVGmhAQwOmZM5/klhQU\nFBSeGjqtFr8pUzj/ww/k5+Sw9+NhBPsHApCRncfQX4+QmpXHWx4ujOxSryB9tv54GEv3X8bK1JA5\ng5oQmZCB5xofHKxMqVfRlk0+17A2M+LyIW/ObV9acD1r61kYGnpy65aYNmZniz/RqlVSNH3unIgi\na2sRPZUqyTDY11+X9NqKFZIGa9NGirEfpI0+KQk6dZKW/2XLpNvscVdNbNwoqbzsbPDxEcPJByE2\nVrrVMjIe7/08bRRh9ITRqFWMfLM+bes4kZmjJTYli9NhcbzVpBKL9wax7fR1Wtd24rM36rLdP5zl\nBy4XvNfazIgv5o7iWKt30GqKG0iYODrR2NPzSW5HQUFB4amQl5HBkU8/5cqGDYUvZqRx9stPSY+L\n44OfD5OckUv/FlX5uEPtggaVtceusPRAMNZmRiwf0Ya0rDw8V5/C2swIt6r2bDh5lVJmRoQc9Cbg\nH6LI2FhE0dChYnb4xx/g7S2t9idOiOCpWFFGeDg5Sct6x45SR9SnjwiOQYOk+8zM7P57DAuTOWNn\nzkj32XvvPd5nmJsr3Wy9e4v48vOTESYPgk4ns9+8vBRhpPAY0KhVfNWtPq1rO5Gdq+VmUiaB4Qm8\n2bgiP+66yO5zEXRsWIGhr9fE+0QY3sevFLy3or0lE6b/jwOvfUy2UeFPVraRGWUnzsbUzu5pbElB\nQUHhiZEVH8/+997jZgnGjfpbsWwcNITU1EwGtXLl3bbVC46tOhzC7wclUrR0WGsyc/IZvdoHE0MD\nmlcvi/fxMEqZGRF80JuAHYWiyMpKRFFcnKTLwsML2+t79hTR8vrr4vNzOxKUnS3O02FhIo5mzJCo\n0bJlD+ZCfeyYFGzn58sw2H+O3Th7Vq77sISHS1H1okUyR23dugcfPQLw3Xfiy7RypRRpv0jcxbdS\n4b9Go1bzdff65Ov0nAiOJiI+A41aRYcG5Vmw7TyGGjU9mlYmI0fLsgOXMTM24E03FwCcS1swY9xg\nRhmb03r/b1jmpuPgOY1mLRs93U0pKCgo/MekXrvGwY8/JiMyssTjepWaM471GdXLjTa1nQpeX7o/\niPUnrmJlasiSYW3I1er4etUp1CpoU9uRNUeviCg64M35nYWiyNJyFiYmIoo+/xwCAkSobN8uYmjz\nZujXT/68YYPU5Wi1UpR96pTUE/3+OyxYIO9/EFavltRcs2YSlfpnyi0uTrrGHB2l8+3fptZ27ZLI\nlYWFCDAPj3/3/jNnROR9+aWMIXnRUITRU0SjVuP5VgNmbdJz8nIM1+LS0ajVtK3jxLwtARgaqBnU\nypWMHC0/7rqIf9gtPnujHjYWxjjbWjBr5FuMNDTBMiGKHpWrK15GCgoKLzwR+/bdVRRhZMSBJgN4\n8/1eRURRaHQyG05cxdLEkF+HtkKv1zN61Sny8nV0alCeVUdCKWVmRNCBdVzYuazgfRYWszA1FVH0\n5ZcidAICpJOsVSuJlrz/vgx8XblShrfq9VIovXWrjNDYv1/STf37339vOp2MBJk+XdJuv/4qa95J\nXp6k5bKzRYj9G1Gk1cr6M2dKrdPKlf9+wGt6uuylbl1Z50VESaU9ZQw0asb0aEiTamXQ5usIjU4h\nPi2b5jXKMHvTWXyvxDH09Zq0quXIyZA4hv12lLiULEDSarM+bs8tp+rsPBNBXr7untfS6+59XEFB\nQeFZp9YHH+DQsbils8rKmh2tP+KVPm/S3aNSwespmbnM/TNARi991BIDAzWeq33IyNHSuaGIIusS\nRJG5+SzMzUUUjR4NR45AYKCkr1q1gp9+khqb996TAuzbAubwYenocnGB4GCZK/YgoigrS86bPl2c\nq5ctKy6KQATa8eMSSSpf/sGfW0yMRLVmz5b1t259uKn3n38OkZEi9kq6vxcBRRg9Axho1Izt2Qj3\nKvbk6/QERSaTkZ2HW1V7pm04w9lrCXi+1RD3v8eHjFhylIj4dACqOZVixgAPIhMyWPCPFv87ubZ9\nOweGDCE3JeVJbk1BQUHhsaJSqUju/gE3yxQ6Gxo6lWNz649p1K45791RU5SRncc4L19SMnOZM7gp\n5sYGjFvjS2J6Dl0aV2Tl4b8jRfuLiyILC09iY8VBevduuHpVDBWbNJFIyYgR0pG1eHFRR+jKlaUb\nLS0NDh16MDfr2FhJuW3bJh1inp4lGzQuXy71QAsXQosWD/7MDh2Chg0hKEgiWJ6eD9fZtnGjiL6F\nC6F69fuf/7yiCKNnBEONmnG9GtG4sp34coQnkZevo27F0kz29uNSZBKT+rpRv6ItqZl5fLbsOGEx\nInIaVLJjVLf6HLgQxW/7goqt7bdjP6fGjSPW15c9gwaRHhX1pLenoKCg8FjIytWyPSCKUiMnYFix\nMibVa7H+lQ+p0aAmn3epW1BSkJ2Xz0Tv09xMzGDWQA/srEwYv9aPm0kZdPdwYeXhEEqZGXFx/zoC\ndxWKIjMziRTFxsKECTLYNTq6UFx4esrU+ClT4JtvigqYwECpCwKJ6jyIm3VgoIitGzckKvXPWWq3\n8fGRFN2HH0pX3IOg00l06NVXZVzJuXPFi7j/DY0by74fd3fcs4bifP2MkavNZ8p6fwKuxaMHGlWy\nI1urIzQ6mdmDmuDiYIXn6lNcjkrGyEDDzIEe1C4v8dAtftdZ9NdFPnitBr2bVQEg7lIQOwcMwigv\nu+AaJra2tF60CNs6dZ7GFhWeA2bNmsXmzZsJDg7G1NSU5s2bM2fOHKpVq1bi+YrztcKTJD0rl51n\nI1izww+NqRkVnG2ZPagpJoYSusnL1zHZ+zSB4YnMGtSEKmWsmLDOj9CbKfRuXpmVh0KwMjPi0v61\nXNy1vGBdU9NZWFpK+mzSJEkXZWZKlKVqVelI+/VX6cj67LOi93TsmMxLc3GR4uYSTLiL8ddfUi9U\nubJEi+6WGktOhtq1Ze0DB+BBxhHeNqDcuVOiXlOmiBmlwv1RIkbPGEYGGib1aUxdF1tQqfC/Fo+Z\nsYZKDlaM8/IlMj6dGQM8qFTGirx8HaNX++B/9RYA3dxd6N+iKkv2BbPvfCSZMTEcGz68iCgCyE5I\nYN+77xJ54MDT2KLCc8DRo0f55JNP8PHxYd++feTl5dG+fXuysrKe9q0pvARkxcejvcu/NZ1ez6oj\noSzdH4zG2gZbW2um9nMvEEX5Oj1zNp8j4HoCk/q4UbWsFVM3+BMclUyvO0TRxX1FRZGJSaEomjJF\nzBjz8iSKU7myiIzffpNU0j9F0datkjJr2FAiSw8iin78UQqgW7cWM8h71QtZW8PkyZLKehBR5Osr\nhd+nTkmN04wZiij6NygRo2eUnLx8Jq7z42JEEvk6Pc2qOXArNZuY5Ezmvd2M0hbGjFxxkrjkTMb2\naEjT6vKTqNfr+W77Bfaej2RsMzvipnmSHRdb8kVUKhqPGUP1gQOf4M4Unkfi4+NxcHDgyJEjtCih\nuEGJGCk8LlLCwjj0v/9hU6MGLRYsQH1HAU+uNp95WwI4eima0pYmqFSw4N3mOFibkpiezZzN5zA3\nMeTk5Vgm9G6ER1UHZvxxBr8rt+jXogprjoRiaWpE4L61BP1VKIqMjWdhbS2iaPp0+Plnabs/cEDm\nmfXpI9GdNWvEDPFOliyR1FaPHtJmfz/hotXCF1+IMPriCxk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NrVuS/lu9Gtq1k+jb4zKW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\nbA0wfDjw6adcuyvL/zJl4qm4FSv4u7Mii9ujG1qbZLk7ZSUi7jVz5kzj7+9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72kQyPipW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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