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@alekseygenerozov
Created January 26, 2015 05:18
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{
"metadata": {
"name": "",
"signature": "sha256:811c2e728e08f8eca9fb3bfbbf47fad6b0f5deba36a2c958525a17d773a8700c"
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"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"\n",
"from IPython.display import HTML\n",
"\n",
"HTML('''<script>\n",
"code_show=true; \n",
"function code_toggle() {\n",
" if (code_show){\n",
" $('div.input').hide();\n",
" } else {\n",
" $('div.input').show();\n",
" }\n",
" code_show = !code_show\n",
"} \n",
"$( document ).ready(code_toggle);\n",
"</script>\n",
"<form action=\"javascript:code_toggle()\"><input type=\"submit\" value=\"Click here to toggle on/off the raw code.\"></form>''')\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<script>\n",
"code_show=true; \n",
"function code_toggle() {\n",
" if (code_show){\n",
" $('div.input').hide();\n",
" } else {\n",
" $('div.input').show();\n",
" }\n",
" code_show = !code_show\n",
"} \n",
"$( document ).ready(code_toggle);\n",
"</script>\n",
"<form action=\"javascript:code_toggle()\"><input type=\"submit\" value=\"Click here to toggle on/off the raw code.\"></form>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 1,
"text": [
"<IPython.core.display.HTML at 0x1059b2dd0>"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from nuker_catalog import galaxy\n",
"import dill\n",
"\n",
"base_dir='/Users/aleksey/Second_Year_Project/hydro/pow_gals_collected/'"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Turned radiative cooling on in three of the solutions in the grid $M_{\\bullet}$=10$^8 M_{\\odot}$, and $v_{w,0}$=300, 600, and 1200 km/s. With cooling the value chosen for the $\\eta$ parameter becomes important. For the following experiments we fix $\\eta$=1"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Let's consider for a moment the solutions without cooling. Below I plot H/C (heating over cooling rate) vs. r for each solution without cooling. The solution with $v_{w,0}$=1200 km/s is on top. N.B. plots are for $\\eta=1$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig,ax=subplots()\n",
"\n",
"dirs=['pow_gal_M1.0e+08_gamma8.0e-01/vw_1200.0','pow_gal_M1.0e+08_gamma8.0e-01/vw_600.0','pow_gal_M1.0e+08_gamma8.0e-01/vw_300.0']\n",
"dirs=[base_dir+d for d in dirs]\n",
"\n",
"gals=galaxy.get_gals(dirs)\n",
"\n",
"ax.set_xlabel('Radius [cm]')\n",
"ax.set_ylabel('H/C')\n",
"[loglog(gal.radii, gal.heating_pos/gal.cooling) for gal in gals]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
"[[<matplotlib.lines.Line2D at 0x107d45990>],\n",
" [<matplotlib.lines.Line2D at 0x107d45950>],\n",
" [<matplotlib.lines.Line2D at 0x107d45a10>]]"
]
},
{
"metadata": {},
"output_type": "display_data",
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nyRoYbCofNpUzTeUkpVQ990E8FdFan1WjyAQAt5x5OV/88QuPfz2f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\n/T9YWSUsIgXrq18OIkX4GGtRhk4GzqpDXmrxc6z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"text": [
"<matplotlib.figure.Figure at 0x107dbf710>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"My expectation prior to this experiment were that $v_{w,0}$=300 km/s would be unstable and that $v_{w,0}$=600 and 1200 km/s solutions would be stable. Indeed the $v_{w,0}$=1200 km/s solution is virtually unchanged while the $v_{w,0}$=300 km/s blows up (though I have to yet found out why in detail. The intermediate case, $v_{w,0}$=600 km/s is more interesting... "
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"The stagnation radius moves outwards by a factor of 4.5, while the temperature (density) decreases (increases) on the inner grid. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"gal=dill.load(open('/Users/aleksey/Second_Year_Project/hydro/pow_gals_collected/\\\n",
"pow_gal_M1.0e+08_gamma8.0e-01/vw_600.0_cooling/grid.p'))\n",
"\n",
"gal.sol_plot_seq"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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2Ag8bY0oAjDHvAHvKjvUCBpe9fhG4v1y7jcDWsmMxQNOaKtiXRTRuT8q90+l5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\ngodu4fk3jmH9dRM56YzP0KSgIOloqifl5eXEGJOOsVWNtdhdRnpr3s2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SpIbKdXa1U1xn\nV5Ik5QrX2ZUkSZLqmcWuJEmS8pbFriRJkvKWxa4kSZLylsWuJEmS8pbFriRJkvKWxa4kSZLylptK\n5Bg3lZAkSQ2Vm0pop7iphCRJyhVuKiFJkiTVM4tdSZIk5S2LXUmSJOUti11JkiTlLYtdSZIk5S2L\nXUmSJOUti11JkiTlLYtdSZIk5S2LXUmSJOUti11JkiTlLYtdSZIk5a3CpANo+5SVlQEQQqC0tDTh\nNJIkSR8rLy8nxph0jE9IJR1AtRdCqCovL086hiRJUo1KS0uJMSZeazqNQZIkSXnLYleSJEl5y2JX\nkiRJectiV5IkSXnLYleSJEl5y2JXkiRJectiV5IkSXnLYleSJEl5y2JXkiRJectiV5IkSXnLYleS\nJEl5y2JXkiRJectiV5IkSXnLYleSJEl5y2JXkiRJeasw6QDaPmVlZQCEECgtLU04jSRJ0sfKy8uJ\nMSYd4xNSSQdQ7YUQqsrLy5OOIUmSVKPS0lJijInXmk5jkCRJDVrVpkpWLXiLBS/dx/rlHyYdRznG\naQySJKlBqKqqYt3S+aycO52V77/GyvdmsPK96aya/wZN23Sg3e7daNa2EyVtOicdVTnEYleSJO1y\nFauXsfK911jx3nRWvvfafx+pgkLadOtPq04dadlmDza0P5tlA3bj3ZVNmbZ8I7xfyb79kk6vXGKx\nK0mS6s2mjRtYNe+NTFE7nZVzp7PivdeoWLWEVt0G0XqPPrRo04aCfY5kw4ALWLiyFW8vb8KKBRtY\n9/YGmjYtok2bYjp0KGRg/5b03mdA0t+ScozFriRJ2mmbKjeyZuFsVr7/+scjte+/xpoP59C8c09a\ndduL1rvtSefBIygccCILVrRn9opili2pZNXc9VRVVdGyVQnt2xbSs0cxPXp2oeeA3jRr3Srpb005\nzmJXkiTVWlVVFeuXL0yP0M59NT0VYe6r6Xm1bbvQqttetOo2iM6DRtJ28KEsWNGWD5Y1543lKVa8\nXsHatRsoKSmiTZsiOrQvpG/fVvTp35VOPbpRUFCQ9LenPGSxK0mStig9BWEmK96dln7MncaKudOp\n2lRJq+5703rPvWnXdySdhx7ComXFzFvSlPeXF7FsTiWrpq1n06YqWrQqoV2bArp1LWLPMZ3pvVdv\nWrRuk/S3pkbEYleSJFGxZgUr3n2F5XOmsmLOK6x49xVWzX+T5p160LrHEFr3GErPI77NxlQxc99b\nz4JFBUxfkmL5Ox+P1rZuU0j7tgUM26c5vfsPoEuv7hQWFSX9ramRs9iVJKmR2bBqCcvfnsLyd15O\nP96dyvqlC2jVfW/a9BxKu/770f2Qc1m9ehPvvLOcNz5KsWRmFctfWM+myvW0aFVC2zYFdO3ShP1G\ntqfPXv1p0c7RWjVMFruNwOqP3ueVp15gzBdOTDqKJGkX27BqKcvfjpnCdgrL3o5UrFpK65770rbX\nMLqUHkOf43/KypXrmP3WIl79MMXiFzex4j8LIAWtWqdvGhvQpwm9++1O98GDKCoqTvrbkmrNYrcR\nmPPaDJ6IhUyf82+O/0IfOvfsm3QkSVI9qNywluVzprJs1kssezuybPZLrF+2kDY996VN7+HsNuI4\nBpx8MevWVjJz+nu88kGKxU9Xsnz5LABat25K+3YF7NW/gD4D9mCPgYMpLLRUUG5LfL9i1V4Ioaq8\nvHyHrl04cwoP/+cj5s1fy7AhLTnspAMp9F/mkpSzqqqqWP3BWyx760WWvvUCS2e9yOoFb9Ky60Da\n9inNPEZQ2Lwtb0yZzpx5VSxcDMuWrmdDRSWtWjelQ/tCunZK0adve7rttY/za1WnSktLiTEmXmsm\nHkC1tzPFLsD6FR/xwj9v5KX5g2lSkOLoI3en3/BhdZhQklRfNq5dydJZL7L0zedZOusFls16icKm\nrWjXbyRt+46kXb9RtOo2mIVvTeeNN5Yx76MCFi3eyKqV62jarJh27UrYrVOK3j1b0Gf4vpQ0a5b0\nt6Q8Z7HbyIUQ+gGXAJ8B1gJVwF3Ar2OMq7ZyzU4Vu5DenvHFP53EB92/x8y3KujVqyVf+OoomrZw\n0W5JaiiqqqpY+9Eclrz5PEvffI6lbz7H6g9m0abnMNr13492/UbRtu9ImlDFrKnTmP0ezF+UYumS\n9WysqKR126Z07lDEnt0KGRgG0r7Lbkl/S2qELHYbsRBCf+B5oC3wxRjj3SGEnwC/BV4EDogxVmzh\nup0udgE2rltN/L+TSXXYixeXfJb1Gyo5+eQ+dB84cKdfW5K0/ao2bWLl+zNYMvNplsx8hsUzn4aq\nTbTrP5r2/fejXf/RtO45lDXz32Tm9LnM+aCIhYuqWL50HQWFTWjXvil7dGlCv/7t6DNkbwpLSpL+\nlqQGU+w66zwZfyRd6FYC92WO3UW62B0JXABcXl9vXti0BaUX3cPLV5xGaeX/8V7X73HT+JkcfMCH\n7H/kgfX1tpKkjE2VG1kx5xUWv/4ES15/miVvPEtRq/Z0GDCWTkMOZcDJv6JZx+6seGcKr89YxAuT\nlvPhosmsWLGOpk2L6NgxxcC+RQwe2pfd+/QhlUq8npAaLH87drEQQnNgOVAALI4xdsocbwMszXR7\nJsZ4wBaurZOR3c02VW7k5ctPI5WCdXscxxMvN6XHni046bT9KG7Wss7eR5Iau02VG1n+zsssef1J\nFs94kiVvPkez9nvQfvCBdBh0IO0HjKGkdUeWz36J12d8xDsfNGPhoo2sWrGO5i1K6NypmB7di9k7\n9KV91z2S/nakWnFkt/HqT7rQBVhT7fjqas8H7YogTQoK2ffC63juN5+n024zOOVz/bn/2WKuvPRJ\nvnzqALr07rMrYkhS3qmqqmLle6+xaPokFr02mSWvP02zjt3pMOhAuh98BkO/fi3FLduz6t2XmTn9\nfZ56dRoffLSJFcvX0bx5EV06pxg5vBX7jAy07tgl6W9HymkWu7te9SHTyq08b72LslBQ3IwRP7iL\nZ355AP2+8HPOPLGYCZMque7aVzny8x+x70H77aookpTT1i6ay0evPsai6ZNZNH0yhU2b02Gvz9Jt\n7KkMPa+Mkjad2bBoNrOnvsrzd0fmfwhLl66luLiQzp2bMGyfZgwZMZS2u3VN+luR8orFbjUhhCOA\ny4Dquy70jDHOreG6Y4EzSc+37QCsAGYAdwJlMcaN1bpXX2mhYCvPV2x/+h1X0qYzI350L8/9v8MI\n37mFk0/uyZOPRB58+APWrXua/T4/dlfGkaScsHHdKhbPeJKPXp3IomkT2bByMR33/gwd9/4sA790\nCc0792LT+lV8MO0pHn/wJeYuLGLxonVsqkrRqVMT+vUpZt/SAXTq0dM5t1I9stgFQgi9gb8CR2ed\nqqrhuiLgZuDkzKEy0gXuMOB3wIHAeSGEw2KMCzN93gQ2kv7ZN6/2ci2qPZ+xA9/GTmm1xyCGf2s8\n8bL/z96dx0dVnv0f/8ySyb7vO9nYQghhEnZQNkUEEVwQcWm1Lq1tta21Vlufau2j1fqoP1urRevW\nui8IIigIsm8ZIEA2kpCQfd8zmcx2fn8EFJKoBJJMluv9euUlZ86ZOdegMd/cc9/XvZoZf/qKS5cv\nwFn9GV99DRbzdmYvvWSgSxJCiEHlzNSE6iObqMn4ksaTBnxiUwmcuICUn7+BV3QyqFS0lx4j60AG\neWV5VFRZaWvrwMfXlcgwDXPnxhCTNA6NRn78CjFQRvx3m16vnw5sA4qAK4ENvXj6M3wbdI8aDIaf\nnv7z1tN9dO8EkoB1er1+usFgsBsMBqNer98ILAV89Hq99vTIb9BZr/vBhb+jC3dmNOLAU1cz69Ed\nTL9qMVo+Zute6DBvY/6KS2X0QQgxolhNrdQe30r1kU1UH/4CtVZL0KQriL3yPvzHz0Hr4oHd0k7l\nsR3s3buJogoNdbXtODlpCAlWMXOaNxOnJeLq5ePotyLEiDXiwy7gCvwReNZgMFj1ev15PUmv148B\n7jnrod1dLtlBZ9gFSANuBV47ffxbYDbgDSwDPgJWnD6XDvyzd2+h70TNu422ynzSn13J1Ic+J23p\nMrTKe2w2RGM2b+WKG+aiUqkdVZ4QQvQ7Y3UhVYc2UGXYQEP+AXzj0whKuYLYxffiHjoalUqFpamc\n3J1fkXXKhbJKGy3NJnz9XImO1LL4yvFEjkmQwQEhBokRH3YNBsNWYOsFPPVWzm3dVtblfGmX49s4\nHXYNBsMJvV4/FXgM+Ider3/q9Gv9DXisyxzfATf2hscxPHcDOW8/ROKtzzBp6fVoeIMvMsdhfmsr\nV62+BLVG9k8XQgwPit1O48l0qgyfUWX4jI6maoJSriB64V2k/vp9tK6dO0y2l2exf906ckpcqaoy\nYbNBSLCK1BQPUmZOx93H18HvRAjRkxEfdi9C11VbTV2OG7scp541ZQGDwZAHrOqv4i6GSq1m4p0v\nsf23kwmddg1+Y2aQdOVNaJR/sTE3lfde3c61N6Xi5CYfywkhhia71Uxd1nYqDqylKn09Ok9/giZf\nSdJP/oFv/BRUag2KotB8Mp3Dh6rIL9VRXW3ESaclIlzN0isjGZOahEYrP0aFGOzku/TCjely3N7l\n2NTlWAfE0rlAbdDTefgx4cfPkfHyncx58iBa73DGX3k7GvsLfHlqHv98bg83XBdJUEKSo0sVQojz\nYuswUnN0MxUHP6X60Od4hI0hZMoyZjy6Dffgzr7iiqLQkLuPQ0fqySvVUldjxN3DmehIDZctGkvU\nONlWXYihRsLuhes6rGnrctx1KoKqh+cMaqFTrqZ87wfkfvAY41c/gdYnitFL7sH9o/vYafklr7xW\nwII5NaRdNgeVWv5TEkIMPrYOI9VHvqB834fUZHyJd+xkQqdczdgb/oyrX+dOZIpipz6W7PV7AAAg\nAElEQVRnN4bDjeSXaqmrNeLp5UJcjBPXXK8nKCrKwe9CCHExJKGI7zXhx8+x4wE9oVOX4xs/BSff\nUUSufp2Fn9xNlt9qvtrZwsnibay4fiI6H9nlRwjheDaziZqMLyjf9xHVRzbhEzuZ0GnXkfTj59F5\nBXxzXXPRYQ7uL+NEsdM5AffalWkERkU48B0IIfqShN0L1wgEnnWs6XK+69+tQvd5vL328ssvd3tM\nr9eTmpp6sS/dI2evQBJvfYaMl+5k9hP70Tg5o3H1IfiG/6D76jGCkrR8dXIK//h7OtdfFUhYUpqs\nQBZCDDjFbqP2+FZKd71D9aENeEUnEzbtWhJv+RvO3t92djTVFHF491Eyi1yoqjTi5qEjPkbLdavS\nCIiQgCvEhUhPT8dgMDi6jO8kYffC5XJu2HXtct6ly7EFKLzYm951110X+xK9FjrtWsr3fkDex39h\n7MrHAFCptfgtfAxdxrtc1fAce9QP8vo75cTt/5LZae6EJk5G7eT2A68shBAXTlEUmosyKNv1NmV7\n3sfFL4zwWasYt+ovuPiGfnOdzdhI5s4dHMl3oay8Ha1WQ0y0mssXTyBydPz33EEIcT5SU1N7HHRb\ns2aNA6rpTsLuhdvNuR0ZvLuc73qcbjAYLP1bUv9QqVRMuO3/seN3aYROWY53TMo35zySb8DJP545\nH93JmNl/4fAJJ15/r5aAgB1MnahmwpTxaL1ltEQI0Xfa68so2/k2pTv/i81sJGLWjUz/wyY8wr9d\nPKbYbVRkbGX/ERsFxTbMHQpRUSpWLB9FwuQk1GrpFy7ESCFh98K9ATzAt712uya6yC7HrzGEufiE\nMP6mJzny0h3M/sse1FrdN+ecI1IJ/fEGdJ/eQ4hzNe1X/pH0HFc272piy54jpIw7xtRpobhHTpQN\nKYQQF8Rm6aDq0AZKv36Dhrz9hE5dzsSf/APf0dNRnRVc28pzOLDrBNmnnKmvNRIQ5MbMqd6kzk3F\nybnrB25CiJFAwu4FMhgMOXq9/mXg7tMPzehyydmjvofoo7B7Zs5uf87T/S7hs27snM7wyZOMue6R\nc85pvUIJvvljTEW7adzxFLM7KlBd+QgZp/zJzGviwJFTTBhXwZzpvnjFpkr3BiHEeWk+dYySr1+n\nbPe7eEYmEnnprejveweN87fTpBRrBwW7N7M/y4lTJSZcXLSMjndi9S3T8Q4OcWD1Qow8g3H+rqwk\nAvR6/bVnHb7f5fTPgNrTf95gMBi+6aer1+t1wDvA8tMPvUTn1r/JwBOAE5AFXGYwGMr7oE4lPT39\nYl/mopjqy9n58AxS7vk3ARPmffd1p0OvraUC3bTfk10VwdFjDTQ3GRmX4MIlU93wHT0VldZ5AKsX\nQgwFNnM75Xs/5NSWf2GqLyfykpuJuOTmb3rhnmEsz2H/rjyOFzjR1NRORLgH06cHMlqfLAtlhRgE\nUlNTMRgMDv9mdHgBg4Fer7efdah0Oa066/EYg8FQ3MPzrwZ+DKQB/kArkAl8ALzUV3N1B0PYBag9\nvo3D//gRsx7fhat/19ka5zIV7aZx+1+xG+twmf0o2WW+ZBytp6G+jYQ4F2ZNVhMyKgaVTywqddeG\nFkKIkaS1Io/iLWso3flfvGMnE73gToInLz7n/w2K3UbxgS/Zk6GmqNiEzlnL+DGuzLk8RbbrFWKQ\nkbArem2whF2A/HV/o/Lgp0x/ZAsap+8fnVUUhfb8zTRueQy1ewAus/5A9kk1GUcbqKtpwd1DR2wE\njIm2ExvnjzYoEZWz1wC9EyGEIyl2G1WHNlD05Us0nzpK5CW3EDX/J7gHx55znbW1loyvd5Ke60ZN\ntZHQMHdmTPNjTNpkWWwmxCAlYVf02mAKu4qiYHh2Jc7ewSTd/sL5PcdupfXIOzRt/yvO0TNxmfob\nSsvNnDjRQlW1kaZGIzabQmSEM2MiOkhK9EEXkYpKWpgJMexYTa2UbH+Two0v4OThR8zl9xA6dQUa\n3bmLyFoKM9izp4TMAjUdHRZGx3sw9/Kx+IWFO6hyIcT5krArek2v1yt33HHHmT8P+AK1rizGJnY9\nPIOEFQ8RMXv1eT/Pbm6lee8/aTm4BvfE5bgnr8LqGkVlSRUnC1ooKWunubGNjg4rY+OdSBtrIWR0\nYudUB5mHJ8SQ1l5XQuGmFyn5+g38x88hdvEvOzsqnPW9rSgK1Ue3sv2AlfxCE25uTkxKcmfmZWk4\nucovv0IMZmcvUFuzZo2EXdE7g2lk94zmkkz2/fkypj28Ca/opF4919pSSeuhN2k9+h5qnQceyTfg\nPuEaLLhSUVRGZmYT5eWt1Na0EBTsTkp8G0njvXEKSUbl6tdP70gI0R+aTx0jf93T1BzdTMTs1cQs\nuge3oJhzrlHsVor3bmRHhjPFxUYCAt2YNcOX8dNS5RddIYYgGdkVvTYYwy5A2e73yP3gT8z+y16c\n3H16/XxFsdNxai+tR9/FmPM5LlHT8EhehUvC5dRXVJKfW01unpH62masNjsxUc7EBrcSF6nGMzAC\nlf8YVDrPfnhnQoiL1ZB/kPy1T9JYkE7s4l8SNf8OnNzOnZNvtxg5sX0juzM9qahoIzzcg3nzwohO\nTHRQ1UKIviBhV/TaYA27AMdf/xXtNadI/c0HF9VVwW5uxZj9Ga2H3sTWVoPXjF/gMfF62o0mik+U\nkpXbRlOjkZYmEy3NJgKCPYgKthIf3EpkhAvOEWmo3KWvphCOpCgK9dk7yVv7JK3lJ4i/6jdEXvoj\nNLpzd1W3W4zkbP2cHcc8qattZ1SMBwsvjyVoVOx3vLIQYiiRsCt6bTCHXbvVzP4nl+LqF0Hy3f/q\nkzZipuJ9NO9+HnPlMTyn3o2n/lYUjQuNlZVUlzdSXmmmqsaEydhBfV0bCjAmzoWUUfWERYeiDpXF\nbUIMtNrMrznxwWOYGiuIX/YAEbNXn7PjIoDd0s6JbZ+x47g3NdVGEhI8uHzJBNkAQohhRsKu6LXB\nHHYBbB1GDjy1HFf/vgu8AObK4zTt/Tumgm14TL4FT/2P0HqHd7Y0a26kprSaqiojxWUWWppaqaxo\nxi/AncRoExNj2vEIH4vKfxwqjVOf1COE6K7x5CFy3/sjbZUFjL72EcJmXI9ac+5OiXZLO/nb17H9\nmC9VVW3Ex3myaMl4fELDHFS1EKI/SdgVvTbYujH0pL8CL4CloYjmfS9izFyLU3AiHknX4jZ2KWqX\nzvl/HcZWyvJLKCoyUl3TTn19G02NJmJivYgPqichzISnXxCqwERwD5UFL0L0gdaKE+S+/yj1ObtJ\nWP4gUfNu6zaSq9htFO9Zy1cGT8or2ogZ5cnipaPxDY9yUNVCiP4i3RjERRnsI7tn9GfgBVCsJtrz\nttB67ENMRTtxjZuLe9J1uMbNRaXRYbfbaKyooPhkLUWlVoytbTTUt9PUaCI4zItRoVbGBFQSFKjD\nKSQZ/MagUklTeiF6w1RfzomP/kzlwXXELr6XUYvuQevi3u26usyv2LLbQv5JExGR7ixeGk9gVEwP\nryiEGG5kZFf02lAJu9D/gfeb+7Q3YMxaR9ux97E2nMJD/2M89begcQ8EwNzeSkVhGZUVRqpqFSwd\n7TQ3d1BV0YKbhzNxMc5MCi0mOMwXTdhUVO7B/VKnEMOFzdJB4cYXKFj/f0TN/RFxV92PzqN7K0Bj\n6TF2fH2SI9kqPL2dWXx5CDHJyQ6oWAjhKBJ2Ra8NpbALAxd4zzBXZ9Ny4F8Ys9fjOvZKvKbciS74\n29ZFlvY2qksqqKxoobpOhaXDRGOjibKSRgJDvUiMbmdCSBXuoQmoQlNRaV2/525CjDzVR74g883f\n4B6aQOLNT+MeEt/tGmtLFelfbmNPpid2u8Kls3yYPG866n7+/hdCDD4SdkWvDbWwC52B9+DfVuDk\n4U/KPa91m8vXL/dsq6X10Ju0pP8bp4DReE65E9eEheeEbZulg9rSckpONVJZC1aTkYpKI81N7cTG\n+zAxrJxRgcbOsByYjErr8j13FGJ4M1YXkvnWb2kpySTxlmcInry42zWKYqd094dsPOBDbW07+kle\nzLtqCk49TG0QQowMEnZFrw3FsAtgM5s49MLN2M1G9L96D62Lx4DcV7GZactaR8uBNdhaK/GYdBMe\nKavRep278tvU2kRZQSnFJWba2q20tZooOdWEk05DXKw7ScGnCPU14xScdDr4Og9I/UI4mt1qJn/t\nUxR+8SKxV95L7OJ70ei6/+LXXn6MbVsKOZJtJyzcneXXJeIdLB0WhBjpJOyKXhsK3Ri+i91m5dgr\n99BSmsWUB9ai8/Qf0PubK4/RcugtjJmf4Bw5FQ/9LbjGzT9ntNdut9FQXkbxyXoqakFl76Ch0Uxx\nUT3evm7ExziT5H+CAH8dmohZ4B0jHR3EsNVcksmRF2/DxTeUpNtfwNU/sts1dnMbOZs/YEtGMB0d\nNi5fEEDSrKnyfSHECCbdGMRFGaoju2coikLOOw9TdWgDU3//WY8/PPub3dxKW+bazh3aWqvx1N+K\nR8rNaNwDzrnO0t5G+ckSSkuNNBvVqDFTVW2i7FQ9oVG+TIwxMtY7H9fQcRA6DZVuYEarhehvit3G\nyc+fp2DdM4xd9TiRl/6ox/DamLWZL3ZZyT/Zwdgxniy5LhVnD28HVCyEGKxkZFf02lAPu2cUfPZ/\nFH3xT6Y+uB6P8LEOq6OjIoOWg6/Snvs5rmOuwDPtJziHnrtaXFEUWuuqKT1ZRWmFHbXGjqndSkF+\nPTabndFjvEkJOkGQjx1N1BzwiZdRLTFktVWdJOOlOwAVk366Breg7i3C7BYjmRvf5cvDwTjp1Fy9\nJJyopIkDX6wQYtCTsCt6bbiEXYCSr98g571HSLv/Y3zi9A6txWaso/Xwf2hJfw2tVxieaXfgNm5J\nt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Yat0LRlqNUaDjy1nNl/2Y1rwPAZzXQZNZOQW9dT/e5qLLV5+C74U7cRSJVKRfjYcWid\nTnDkWAPLr09m/SfHaY+9gstZj1t8K6rQKY55AwPIZjZRn7OT6sObqD6yCaupjaDkywibsZKJd76E\ns9fgn9ahKAqth96kYduTFMT+nb0HWxkd78TV109C6zH46xdCCEdyeNoW50+v1yt33HHHmT+Tmjq8\nRiv7S/7ap6g+upnpf9g06D6Svli29kZqP7wNlZMLActfRu3c8wK02lMFGA63kjDWn03rs/EN9GDJ\n6HQ8wsejip4/wFX3P1N9OVWGz6g+som67B14RiURNGkRQZMW4RU9cUh93G8z1lG3/leYjO3sst5D\n0clGFs5xQ7/wUumfK4QYdNLT0zEYDACsWbNmUIzsOrwAcf5kGsOFUew29j6+iKCJC4m/+gFHl9Pn\nFJuF+k2/p6NkP4Er/4OTb3SP1zWUneJgeiPxY3zZtvkkGicNyybl4e3vhyp+2ZAKgD1prThB5cF1\nVKavo608l8BJiwiefCWBExegG6K7h7UXbKNu/S8xj7+XDYcisVis3HCVN6ETZw75f19CiOFvsExj\ncHgB4vxJ2L1w7XUl7HxoOlMeWDvs5u/C6V6rB1+hefdzBFzzCi5R03u8rqmqlP37aolL8GPPrmI6\nOqxcPa0aPzcTqvE3oVL17w5ffa25+Djle9+n8uA6LG2NhKQuISRtGf7jLxnSo56K1UTD1r/QlvUp\nleP/ztadTQSHOHPDdbG4BPXchUMIIQYbCbui1yTsXpzyfR+R894fmfPEAbQuHo4up1+0F2yjdu3P\n8J3/Bzwmre7xmpbaCvbvqSIqxpsjh6qor29j2WwTwZpTqCbe0eOmFYOJsbqQ8j0fULbnXaztLYRO\nu5bQKVfjE5fW79vxDgRzdQ61n9yN2n8s6dabycioYWqKK/OumoraxcfR5QkhxHmTsCt6TcLuxct4\n6U5QqUi+62VHl9JvLLV5VL+3GrfRV+Az/5Ee5ykbG6rYu6ucyGgfsrPrKC1u4Kr5ToRZD6Ke/HNU\n2sHVq9XcXEv5vg8o2/0ebRV5hE5dQfjMG/AdPX1YBFz4dnS+aeczuMx5nM/2+1NV2cxVC3SMm7NQ\ntnwWQgw5EnZFr0nYvXhWUys7fj+FsTc8TtjUFY4up9/Y2huo/fD2zoVr17za45xyqqQAACAASURB\nVEYDxoYa9u0uJTzKm6KiFnIyK1hyuS+jLFtRp97v8BFexW6nLms7xVtfpTrjS4ImLSJ85g0ETlyI\nWju4R597y2aso+7Tn2Mz1tGh/yuffl6FCoVVyzwJTJzl6PKEEOKCSNgVvSZht2805B/k4NMrmP2/\ne3D1j3R0Of1GsVmo/fQeFEs7gde91uPIYHtTLft2lhAS7klVtZlDB4pYcrkPcc7HUU+8wyGLoDoa\nqyjZ8RbF2/6NxsmFqHm3Ez7rRnQevgNey0AwFe+j9pO7cBu/gnzNUrZtKyM8zIXrVkThHDzG0eUJ\nIcQFGyxhd3h8/idEL/jGpxFzxc858uLtKHabo8vpNyqNEwHL/o5iM1O3/j4Uxd7tGlfvAKbPiaKq\nvIXgIGemz4nnsy8aqTSFohSsG9B6G/IPYnh+Ndt+k0Rb+QlSfvYac/5qIGbRPcMy6CqKnaZdz1Hz\n4W14Xf40u2oXsmVzMakTnbjx1hQJukII0Uck7IoRKf6q+1EUhbyPn3B0Kf1KpdEReO2/sdafpGHL\nn1AUpds1Ll7+TJ8dTXVFE14easYlhfHZXjeaaqpQyvf1a32KolB9ZBN7HlvIoedvxDdhKvNfyCP5\n7n/hmzB12LbXsrXVUP3ODbTnb8Zn1XrWbXcm83gNVy/QMm/5XNRuAY4uUQghhg0Ju2JEUqk1TP7F\nm5za+io1Rzc7upx+pda5E3jDfzEVfE3z7ud7vMbZy49pc2Koq24mKsIdV1cdm3KTMBVsRWnI6/Oa\n7FYzpTv+w47f6cl+5w9EzbuNuc9mEbv4lzi5eff5/QYT06ndVKyZjy5kItoFL/P2O4VUVbZwy3JX\nxs27EpXW2dElCiHEsCJhV4xYLr6hpPz8dY68eDvtdSWOLqdfaVx9CVr9Pq2H/0PLoTd7vMbZw5ep\ns2OorGhl5uxoaiqa+LphMZajb6AYa/qkDrvNyqmvXmHrfeMp3fkfxt/0V+Y8eZCIWauG3aKzrhRF\noWnvP6j56A78lzxLY/D1/PeN49hsVn6yyofw1MuG7Ui2EEI4koRdMaIFjL+EmMW/5NDzN2G3mh1d\nTr/SeoYQtPp9mnY8TVtWz/NxnT18SU0NIP9EA1ddl8yx9BIOsxLbob+jWIwXfG9FUajY/wnbfzuJ\n8j0foL/vbaY9vInAiQtHRMCzm1up/fgOjJlrCfnxJrIr/Pnw/RP4+mq47cZQvEdLxwUhhOgvEnbF\niBe35NfoPP3JfvshR5fS75z8Ygm64R3qN/6O9sIdPV7jHRrJhLFOFORUs/S6FLZ/VUSB81LsGf+8\noAV9tZlfs/uPs8n75AkSb/0/pv1hE77xUy72rQwZlroCKv99BSonNwJXf8zOnZV8uekUY+N13HhD\nLC7hyY4uUQghhjUJu2LEU6nVJP/0VaoM6ynf95Gjy+l3upAJBF7zCrUf34W5JrfHa8LGjCPE30Zj\nTSNzFoxl0+ZaqhmHkv/Jed+npSSL/U8s4ei/7ibmil8w+3/3EZQ8sj6qN574ksrXl+CZdjvelz3F\npnXH2bevnFl6DVeumITWL87RJQohxLAnYVcIQOfhi/6+dzn+71/SWt5zABxOXEbNxHfhY1S/eyO2\n1qpu51UqFWNTE8Hagac7jIoLYMM+N9pqK1GqDn/va9ssHeR+8Bh7/7yQoJRFXPrMUcJnrhw2O52d\nD0Wx07j9aeo/v5+glW+iG3cdGz48xNGMKq6YBTOXXILaPcjRZQohxIgwcn76CPEDvGNSGLPyUQzP\nrcLWceHzU4cKj4nX4THxBqrfuxl7D/NxNU7OTJ4eQ0V5GympYSg2O1vLp2PJ+RilrXtABqg/sZed\nv59Cc/FRZj95gJhFP0et1fX3WxlUFKuJ2o/vxHRyGyG3f4nNazTr3j9CVlY1S+coTFp4GSqdp6PL\nFEKIEUPCrhBniZp3O17RyWS/+wdHlzIgvOfcj1NAArWf/LTH+bjOnn6k6n3JPlbDomVJ5B4tJ0O9\nEvuRf6JYO765ztrewvHX7sPw7CpGX/sIqb/+AFe/8IF8K4OC3dRE1dsrQbETfPPHmCw6Pv3gGPl5\ntayYZ2PCgkWonNwcXaYQQowoGkcXIM5fWFjYnxRFwWAwnDl2cEXDj0qlwm/sTI698nPCpq3AyX34\n7dx1NpVKhWvCQloP/wdLdTaucfO6XePi6YOzrZYTJ5qZPDWGLZtyiZowDq+6ryBoMjVHN3Pgr8tw\n9Ysg9f4P8InVj6h5uWdYm8upemsFzhGp+C99jua6etZ9lEPJqXqum28h4ZIlqLSuji5TCCH6VXp6\nOuvXr8dgMHDo0CEqKioedXRNI+8n0hCm1+uV9PR0R5cxIuR++GeM1YWk/Ozfji5lQNjaG6l8bTFe\nabfjmXZ7t/OKYidj12EUjRtVNWZKi+u5fmohbWWZZG5ZS/Ld/yIwab4DKh8czNXZVL+zCs8pd+A1\n7Wc0VFay7pMTVFU2sXJBB9EzrpLNIoQQI05qaioGg8HhWVOmMQjRg9jF91KTsZnm4uOOLmVAaFx9\nCFr1Nk27nsWY92W38yqVmsTU0TTUm0hMDMRmsbC1YCxerjbm/P69ER10Tad2U/XWCnzn/RHv6ffQ\nXFvNuk9OUFPVzI2XtRM9U4KuEEI4koRdIXrg5OZF/LL7yX3/fxxdyoBx8h1FwLX/pm79fdjauu+Y\n5uTqSUqKD1nHqwkvf4acYxVked2NpuADFHOLAyp2vLbs9dR8+BMCVryMe9I1tNbX8fmn+VRWNLFq\nYTsR05ej0kjQFUIIR5KwK8R3iF5wF82njlJ/Yq+jSxkwLpFT8Ei+gfqNv+t2TlEUGo9tIFCdi/e8\nx1m2ahrbNxdQ6rMC5cTw70/cVVvWpzRsepDgG9/DNWYOxuZGvthwgqLCWlZc2kH4tKtQaUZWJwoh\nhBiMJOwK8R00OhcSVjxMzjt/RFEUR5czYHwueQBzdQ5tWZ9+85jNbOLwC7dQsv0tRqeloNZo0Kos\nTEgOZ/POdlqbW1EaCxxY9cBqy/qUhi8eIujG99GFTsTU1sJXn+dyIqeKRTPsJMxciErr4ugyhRBC\nIGFXiO8VMecmzM3V1GR0n8c6XKm0LgRc9f+o3/R7bG21WE1tHHx6OYpiZ+aj2/EIHU1KWjgn85tI\nnT4Kq9nKvvpZ2LPfQVHsji6/37VlraN+0+8JWvUeuuBEzMY2tm/KJiuzitmpOpJnT0Hl4uPoMoUQ\nQpwmYVeI76HWaBmz8jFy3v0jin34B7kznCNS8Zi4kroN93Pgr8tw8Q1j8i/eRKPrHK108wtmwhgt\nR9OLWXR1MkcOllCtTYbSHQ6uvH+1Za+n/vTUBV3IBKwdJnZ/lc2xY9VMTHRlxuxRqL1GXn9hIYQY\nzCTsCvEDQtKWodI6Ub7vQ0eXMqDc0+6mOWczPr6uJN+9BpX63LbcYWPH4uthoam6nrjRwew6EYzl\n5OZhu1jNmP0Z9Rt/R/Cqd9GFJGG32zi4I5OMjGpGjXLjslluqAPGO7pMIYQQXQz2sOvw3mxCqFQq\nxt3wZ3I/+BN2q8XR5QwIc2s9+59ajjnoEjytJ7GbGrpdo1JpSEyNp7bGSEpqOAXZlRS6XY2S94kD\nKu5fxpwN1G18oDPohk4E4MShLA4drsXP34WlM4xoImY6uEohhBA9Gcxh9z6gGUgEXIGHgb8BSY4s\nSoxMARPm4RYQRcnXrzu6lH7X0VzDvscX4T92FuPu+i8eSddSv+n3PV6rc/dm3Bg3ik/WMW12PLsP\nGjE1VqI0FQ5w1f3HVLKfug33E7TqnW+CbmVhIfsP1GOz2VkxvQpdwpUOrlIIIcR3Gcxh1wVYABQA\nLwO/BUpO/3OuA+sSI9TYGx4n75MnsJlNji6l33Q0VbPvz5cRlLKIcTf9FZVKhfelD2KuOIox+7Me\nnxMSF4tWZSV6lCeNdW0cty/GnvXfYbFYzdpUSu2HtxOw7AWcQ5MBaK2vZfeuasrLGlk2rR73pGtH\n5PbIQggxVAz2sLsfsADXAH8Hngd+BFzluLLESOUTl4pXVBIl299wdCn9wmbp4OAz1xKsX8KY6x/9\nJsCpnVzxv+p56jc9iL2j+3xctcaJseO9KThRz4LFiezfXUazbjSU7hrot9Cn7BYjNe/fgufUu3GN\nXwCAtcPE/l2nOJlfzZw0HVGpl6LSODm4UiGEEN9nMIddG3A78Bc6pzF8cfpxO9B9AqEQAyBhxUMU\nrPsbdqvZ0aX0KUVROPbqz3HxDTsn6J7hEjkVl7i5NO16rsfn+0fG4OVmxc3ZjqubjgMVY7EVrEcx\ntw5E+X1OURTq1t2LU+BYvKbfA4DdbiNjbxZ5eXVERHowbZILKk/pvCCEEIPdYA67fwG86Zyj+2tg\nJ3ALEAfItkTCIXwTpuIeEk/pzv86upQ+VbjxBZqLjjDpp6+iUvf8vwWfSx+i9fBbWBuLu51TqdSM\nTQyioKCZhVdOIOPgKar8lqMUrOvv0vtF8+7nsTYU4XflM98E/6LjOeScaKXDbGPJpGLU0Zc6tkgh\nhBDnZTCHXTvwf8CVwJnhpAeAjcDwWf0ihpyEFQ+R/+lT2G1WR5fSJ2qObqZg/TOk/uZDtC7u33md\n1isUz7Q7aNj6eI/nPYMjCPa1YmxqImFsCHuOabFUZaOYGvur9H5hPPEFLemvEnj9m6idXAGoKynm\nyNE2SoobWDqlHo+k5TJPVwghhojBHHZ7kgKkAq86upC+otfrL9Pr9dl6vd5++ivK0TWJ7+c/bjYu\nvuGU73nP0aVctNaKExz+x21Mvve/uAVG/+D1XtN/RkfxPjpK07udU6lUjJ4QwaniNmbOHc3JnEoK\n3a9GKdrUH6X3C3NNLnXr7yPw2tfQeoV2PmZs5cCBWgoLqpmR5s6opGRUzl4OrlQIIcT5ckTYjTrr\ny6PLuVBgBaD9juda6GxHNuTp9XonvV6/ls7pGmfer+LAkkQvJKz4PXlrn0Sx2xxdygWzGJs4+Ldr\nGHP9n/AfO+u8nqPWueMz9yEaNj+ConT/z9XNL5ioEBvlhRVMnR3PvkNGLJWZKB1NfV1+n7Obmqh5\n/2Z8FzyCc0Qq0Dl3N+dwPqUl9YSEezJ9dCPqoAkOrlQIIURvDHTYnQwU0TkNoRC4scv5cOBDIB8Y\n7h3atcAnBoMhDShzdDGidwImzMPJ3ZeK/R87upQLothtHHrhZgInzCd6/u29eq77xOtRrCaMWZ/2\neD4uMYaqqg4SJ4ZRWdJAsfsSlKIv+6LsflX/xcO4xFyCR/Kqbx8rKyX7hJHm5g6uHJ+FdvQyB1Yo\nhBDiQgx02D3TeT0H+BnQ9aflKeAlOhembQRGDVhlA8xgMLQbDIbh2cNqBFCpVCQs/z15nzyBYh96\n/WRzP3gMu6WD8Tc/3evnqlRqfBc+RsPWP6NYu/ccdvb0JS4KCnPLmDx1FOmZCtaKQ4N6G2Fj3pd0\nFO/Dd8H/fPOYzWom43ANZSX1zEpR8J54lbQZE0KIIWigw+5MIJPOubcvA1VdztfQGYKTgDY6N5AQ\nYlAKmrQItdaZSsN6R5fSKy0lWRR/9QqTf/EWau2FhTeXUbPQBSXSfOCVHs+PGh9Lc5OFMeODOZVf\nRaXPEpRTmy+m7H5ja2+kfsP9+C99DrXu25lVJ4+eoKqqFQ8vF1LiO1B5SJsxIYQYigY67I4FXgd+\nqElpKfAPOndQE2JQ6hzdfZC8j/+3x/mrg5GiKBx//VckXPMwzt5BF/Vavgv+h+a9f8fWVtvtnNbF\nk4RYLRXFNYyZEEZ6rjO20r0olraLumd/aNj8R1zHLMJl1LfzllvrasjJ7+BUUQNzJ9TgFHe5AysU\nQghxMb5rIVh/CaJz9PZ8lAA/vDz8Auj1+ivo3I0t/qyHRxkMhu4NRM993lXAj4EpgD+di+WygA+A\nlw0Gg/Wsa6Pp3Or4bK8bDIafXPw7EINFsH4puR88RvXhjQRPXuzocn5Qxb4PMbfWEb3gzot+LSf/\nONwnrKBxx1P4X/FUt/PhCaPIyS9gcloU771xgNrxSwg+tQVV/OCZ99qet5mOU3sJvevrbx6z220c\nP1xCY30LMfF+xMW6oNJ1XUsrhBBiqBjokV01MOM8r02lj7sT6PX6WL1evw7YwLlB93vvc7pzwrvA\nWmAZsA5YDPwVmA68ABj0en3wWU9T0fl+VWd9DbVWb+IHqNTqb+fuDvLRXauplaz/PEjSj59Hremb\n33O9Z9+PMWsdltr8bue0zh5EhSo01zUSEe3H4ZM+2It3oFiMfXLvi2U3NVH3+f34LXn2nOkL5Xl5\n1NRbKS9rZm5sDqroeQ6sUgghxMUa6PBVB9wG3PE999YAdwJ3AdV9dWO9Xj+dzlHY0Xy7UO58PQNc\nf/rPRw0Gw08NBsNWg8HwDPDa6ceTgHV6vV4NYDAYigwGg9pgMGjO+rqtD96KGGRCpy7H3FpH00mD\no0v5XnmfPIH/+Dn4je27RicaNz88Jt9Ci+G1Hs9HJ4RSVm5i+pwEco6W0RS4CIq39tn9L0b95kdw\nTbgc15jZ3zzW0dZMZnY7ZSVNTE7xISA2URalCSHEEDfQYddA59SJl4FaYCvwNp3zeN8GvqYzEL90\n+rq+TA+uwB+BCQaDYeP5Pkmv148B7jnrod1dLtlx1p/TgFsvuMJvR4DFEKJSawidspzK9MG7NW5r\neS7FW19j3I3/2+ev7ZlyM23HPsRuae92ztU3CH8vK9hMeHm7klERjr14a49dHAZSe/5XmIp24Tv/\nkW8e6+ypW4DNYsZstjEj7Ciq8GkOrFIIIURfGOiwe/aWUz7ApcANwC2n/zkHOHtronf76sanR2Kf\nPnte7Xm6lXMDaNeeuKVdjs979Fav12/R6/UlwDQ6p1IowF69Xl+i1+v1vaxTOFBI6lVUpQ/OrgyK\nopD5xq9JuPoBXHxD+/z1tT6R6MJTMGZ1D/sqlYqYWG+KTjYya95oso6U0hIwD0q29Xkd58tuaqZu\nw2/wX/Isaudvpy80VpRSXgPZWbXM0qtwi5+LSiUzj4QQYqgb6AVq7wG/pHME9IfspXODCUfrurVU\n162gGrscp+r1eu35hGqDwSDdJoYJn7g0zK31tFUV4B4c5+hyzlGZvg5TfTmjLr/nhy++QJ6Tb6V5\nzwt4JK/sds4vMgpV5nF8fV1QFIWshgSm1v4L9ajLHRImG79+Atf4+bjGzPnmMUVRyM+pob3VhF+g\nOxP8s1AFSAcGIYQYDgb6J42Vzu2AM37gusPANcBg6NY/pstx189qu34eqwNi+68cMRip1GqCJy8e\ndKO7tg4jWW/+lsQfPXvBPXXPh2vCQqxNJZirs7udU2t0jIrScSqvkllzR3P8SDlGzySoz+23er6L\nrbWKtmMf4nPJ7855vLW2mooahRO5NVw6vhqnhCUDXpsQQoj+4YjP6MqAqXRuHrEdqAdsdM7V3Qb8\nlM6P9SsdUFtPfLoc27ocdx3BVfXwHDECBOuXUpn+maPLOEf+uqfxTZhCQOKl/XoflVqLx6TVtB56\ns8fz4XGR1DdaiR0dRHNDG/mWVJTK9H6tqSfN+17GPekaNB7n9hguyC2nrbWNmIQAIv1aUXlFDXht\nQggh+sdAT2M4w0znIrSXHHT/Ievll1/u9pheryc1NdUB1YizBUyYx+G/34q5uRadV4Cjy6GjqZqi\nL/7JnL8OTKj0SLmJijXz8Jn/R9RObuecc3LzJjLYRmlBOdPnJJCRUcX48Xno7DZUas2A1Gdrb6D1\nyH8IvePcbhDtTfWUV0FxUSPXXdqCJmHw9AEWQoihID09HYNh8HYk6s+wu4bOvrRbgI5+vE9/awQC\nzzru+pO569+hQvd5vH3mrrvu6q+XFhdJo3MhIGkeVYc3EnnJzY4uh+Kt/yZkynJc/SMG5H5a7wic\nI1IxZn2KR/KqbuejE4LZtauOWQvGsH1zNg36FILrcyAgcUDqazn4Kq6jF6H1PvfvozCnBJulA98A\nDyJD2lC5+g9IPUIIMVykpqb2OOi2Zs0aB1TTXX9OY7idzs0XaoGP6Oy44NeP9+svXScWunY5duly\nbAEK+68cMZiF6JdSZXD8vF27zcqpLWsYddndA3pfj5RbaDH0PJXB3T8UP08zteW1hEf5kVsfjVJ5\ncEDqsptbaTn4Kt4z7z3ncbOxheIKKC5uJjnegjZi+oDUI4QQYuD0Z9hto3P+qjuwnM5eupV09tL9\nFUNnEVfXvrreP3CcbjAYLP1YjxjEglKuoPb4Nmzm7j1nB1Jl+jrcAqPxHpU8oPd1TViAraUcc1Vm\nt3MqlZpRMV4UFdQzLimcwsI2rLW5KPbedgPsvVbDm7iMmomT/7mdMopzi9CqLZhMFhL988GrX3Yo\nF0II4UD9GXYDgCV0Tmc4s9hMS2cv3WeAPOAY8Djn14rMUd7g3O2Eu34mHNnluOetpMSIoPP0x2vU\nJGqPO3aXsKIv/smoy3824Pf9oYVqAVFR2G1WgkM8qCytp9kzFeq6d3DoS4rVRPO+F/Geed85j1s7\njJwstlFVY2LMWB/cQ8egUsmeLkIIMdz0Z9jtAD6nc9vfcGA68CRw5iebCkgEHgL20bk5wz+BRcCg\n2Z/TYDDk0Lnj2xkzulxydh/eQ/Rz2H355Zd5+eWXSU8f+JXs4vyEpC5xaFeG5lPHaKvMJyTNMQut\nPCatpi3zE+zmtm7n1FoXRkWoqSmrw9ffg4KWuH6fytCa8S660InoQiac83hZfhHOOoXik3XoQ3Ih\nVHZLE0KIi5Wenv5NVhksBqobgwLsP/31EBAPLDv9NYPO0B1GZzC+C2gBvgA+BTbQRwu+9Hr9td9x\nSgUs1uv1taePNxgMhrM/h74PCKZzOsZEvV7/Ip3zkJPpnJsMkAVcZTAY+rU3sCxQG/yC9UspWPcM\nygB2Gjhb0eZ/Er3gjn7tq/t9tN7hOEekYcxai8ek1d3OR8RHkvNlKWMSQzlZ1MRkexYquwWVuu/r\nVWwWmva8QODycxu/2G1mCgo7MJntRIzyI9C7FpXO4zteRQghxPk6e7HaSFig9n3y6ZzKMAcIoXOL\n3U/5dsMGT+Ba4C2gGviqj+77/llfSpevF08//h7ndl/AYDCYDQbDNXRuiLEeuJrOUeuH6Qzw9wIp\nBoOhvI/qFEOYe3AsOq8AGvIPDPi9za0NVOz7iKh5571rdb/wmHzrdy5Uc3L3xdvdQnCwG2Wn6mjz\nmQq13ef49oW2zE/Q+kThHHHuTKmqk4WoNWqyj1WSEmdEIwvThBBi2HJUn92z1dK5eO3/s3fncZKV\n9b3Hv6dO7VXd1d0z3bMBswAzgCwyp0FBFIyKURC3oEmMQUUdl5t7TfSaxajZTHJzYyLm6qVD4pbE\nGLkmRgWV6wVEBkT7sAk4gzAzDLP1TO+1dO3n/lG9VlVv0119avm8X695TZ+lTj0zZfd8ffg9v+dL\nKnU6eKVKM76vUyl0eiVdsxpvZNv2isK9bdvfVKmdGrCgDdbrNND/bXXtXNsQdeSHX1bPC1+jYMfG\nNX3fcqFzXqHh735U2RM/k3/jRXOuGYah7vU+ZTJp+XxePZfdpYtOPCSj54WrOgbHKWp87y3qfPWf\nzzlfLOb17LNJ+fx+BcM+nRN4VOp61aq+NwCgfqz1zO4XtfBitAmVZk7fLWmTSvWw/1PS07UfGrB6\nNva+TifWuAWZUyzq0F23atur37+m71uN4TFLC9Ue+9eq17s3xjQ4mNV5F27SMwczKg4+JaeQXdUx\nTOy7U4Y/quD2l805P3zksDJ5U/v3DeqCC2IKbDxfhuHWf+QCANTaWv+Ev0nSxUu8tyjpAUm/K+n8\nmo2owbBArTHEtu9WfiKhxLHyNs21c/LR78kX6VTHOZev2XsuJLzz1Zp4pnpXitiGDcpmHW0/t0dH\nnxtWqvNF0uATq/r+Yw/8nWJXfaiiw8Lhg2Pq6vJrcCCuSzoekTa/ZFXfFwBaWSsvUJvtNpU2mPii\nSjWyKRfG0LBYoNYYDI9HG63rdaL/2zrnhl1r8p6H7iq1G6uX9lm+jReqmB5TfvR5eTvmdujzeINa\n35GXz8grPZHVceMiRU/cL2PD7lV579zwAeXHnlfo3GvnnC/kMjo57NFEOqGzz+tRLHhQRqgR97oB\ngPrEArWS/1CpB+8XVOq/+4+a274LaAobel+nAXttWpAljj+tsYOPaPMVN67J+y2FYXgU3HG1Jg7e\nW/V6d3dIQ6fGtfP8TXr6QE7O4FNyCquzs3hq350K73ptRTeMkePH5fMVtf/JY7p0+5g8W8o7CQIA\nmo0bYffrKvXXvULSv0p6s6T7VKrL/QOVevICDW/dBVcrcfTnyowO1Py9nrurT2e9/J0y/eW7V7sr\ntONqpZ+9t+q19ZvXaXCooPMu2qyjzw1poutF0qmfrcr7pvZ9R+Hzr684P3BsTKlEWj2bO7Qlt1da\n5UVxAID6s9Zh16NSay+p1LJrj0oL0X5TpU0l/lTSIUnfk/RWSf41Hh+wakxfQOsveqUGHvluTd8n\nn07oyP1f1dZXvqem73M6gtuvUfrQj+QUCxXXQrH1Cvry6uoKaWQwoVP+F67KBhP58WPKDx9QcOvc\nWlzHKerkYFEDJye08+ywfD0XyPDUQ0MaAEAt1cNP+glJ/zz560KVwvC1k79GJK1zb2j1Z6rg27Ks\n6ZoY1K91579UI794SGe9/B01e4+Bh+9U57kvUmj9WTV7j9Plbd8kM7pB2eOPKbBlbj2u4THV3WVo\n9NSItp3drV88V9RZgafk5NMyvKc/Q53ad4dC575Khjl3k4rk0EllcoZOnhjX6y49KOOM15z2ewAA\nquvv75dt224PY456CLtSqaThXZLeotKGElM63BlO/WKBWmOJ7ditw/fUdAdpDe+7X+svfHlN32Ml\ngjuuUfrAvRVhV5LW90T0zIGkLrh4i+yfHFL6RZbCI89I3RdWPmiJUvvuUPuL3ldxfuDooHzevKLt\nQXX6x2VEN5/2ewAAqmOBmnSPZjaI6JH0EZW22d2r0ra7bdVfBjSm9rMuHKkUQwAAIABJREFUUuLY\nfhWy6Zq9x/D+B9S1q37bZ4V2XKOJA/dWvbZuc4/G4o62ndOjE0dGNBq6UBo/dNrvVUgOKnvicQV3\nXD3nvOM4OjmQUXKiqI2bIvJtuuS03wMA0FjWOuxeLelGlXYhOyLprySdt8D9D6/FoIBaMf0hRTae\no/jzq9tDdkouOarUyYNq31q/4S2w9QplTzyuYiZRcc0MxtQZzSk1ntCmLZ165lhIxbFDp/1eqae/\nq9COl8vjC805n0uNaSTh08kTSZ21PiV1nnva7wEAaCxudGN4v6QbNH8JxUlJf6PS5hML7bYGNISO\n7bs1dqA2/79t5Bc/VsfZvfJ4fYvf7BKPL6zA5t1KP7e34pphGOru9urU8WGdd9FmPX9oRNlU/LTf\nK7XvjqpdGE4dGVCszdHA8TFtbzssRWn6AgCtol72yMypNNv7epVaj31EUm2mwoA1FttxqUYPPlKT\nZ9d7CcOUUt3uPVWvdW/s0KlTGZ33gs06+tywJsweOenRZb9HMT2uzOGHFDrnVRXXTp5IyjA9inWG\n1BHOsz0wALQQt3/iPybpt1UKuG+S9G1JlT2KgAYW275bYwdrM7M7vO8Bde26oibPXk2hHddoYp5+\nu23re1QoFOXzmwpHAjqa2XpadbupX9yl4NaXyBOIzjlfzE3o5IipsfGiNm5uky+2cfl/AABAw3Kj\nG8OgpK+qtF3wYy68f0Oj9Vjjad96cWmRWi4j0xdYtecWchmNHXxYHee8aNWeWSsLbh3sC6m7o6BT\nx05p45YODcSlF4wdkrHMDR8m9n1H4fOvqzg/cvyEAgFDv/jFkC4+zyMjtmNFfxYAwPxoPVbyW5rZ\nWALLROuxxmP6Q4psOFvxw0+o42xr1Z47fvARRTadK1+4fdWeWSuztw5uu/TtFde7e0I6dmJcGzfH\ndOzoiJxlzuwWs0lNHLxPXdf9TcW1geOjWrc+or33jWnb7mGpo362VAaAZkPrsVIv3YfW+D0B18V2\nrH4pw/D+veradeWqPrOWQjuumX/r4E3rNDRcUM/Gdo0Op1SID8pxnCU/O/3sPQps3i0z3DXnvFMs\n6OSgo7zjVee6iGKeIRl+OhwCQCtZ67D7JZW2AwZaSmz7pTUIu42xOG1KcPvV824dHGhfr0ggr0DQ\n1NhwSpnAJik9tORnp/bdofB5lSUMqeEBZfJenRpIaMPmdvnauqq8GgDQzNxeoAa0hI4dlsZWsSOD\nUyxqeP+D6myAxWlTZm8dXM7wmOpeJ02Mx1UoFDXq2yktsd+uk89o4pn/q9Cuyu1/B44Oqafbp4PP\nnNJZG4vyUK8LAC2HsAusgfatFyt+dJ8KucyqPC9xfL984TaFuhqrX+zU1sHVrO9p06mTE1rf06aB\nRJecJYbd9KEfyde9S962uV0WHMfRyZMZdXa3a/BkXFsjz0sdZ6/sDwAAaDiEXWANTC9Se/7JVXne\n8L4H1NlAJQxTFto6uGtTj5IpR+t72nRy1Fhy+7FSCUPlRhL51IiG435NpKV13VG1pZ9iMwkAaEGE\nXWCNrOYitZH9DzTU4rQpC20d7Am0qz2cUyzm1/BQWsX4UTlOccHnOcW8Uvu/p9Cu11ZcO3VkQJ0d\nHj13cFA9m2PyhyIyPOaq/VkAAI3BjdZjWAH67Dau2PZLNXbAll7x7hU/a3j/Xp19w0dWYVRry+ML\nK7DFUvq5vQrvfPWca4ZhKBL2yFswNT6SVPaCrQqlTkqR+TeByJ54QmakW77OrRXXTg6ktGFTtx69\n82lddlmXjA7qdQGg1uizixWjz27j6ti+W0d++JUVPyc9fEy51Jiim3etwqjWXnD71UofuKci7EpS\nOOyVMoZGh5NKR3cpNHZowbCbG/yFfN2Vfw+O4+jUqEdbdsU0MpjQWW1ZGdTrAkDN0WcXaGGrtUht\n+OkH1bXzChmexvz2De64WumDP6p6LRzxK5935Pd7NZTbuOjmEvnhZ+VbVxliC5mksjlTQycTWr+x\nXdH4IxKdGACgJTXmv5ZAAzIDYUU27FjxIrXh/XvV2YD1ulN863cqN3Koaj1uuC2k1ERB3RvbdXLM\nv2j7sdzwAXm7KsNuajyuUNDRgWdOqWdTTAElZQTqf6c5AMDqI+wCayi2feWL1Eb2P6Cu8xqvE8MU\njy8kTzCmQuJkxbVwW0SpCWnj5phOncrIiT9fdROKKfmh6jO7yXhS4ZBHB585qbO2BGR0bF/VPwMA\noHEQdoE1tNKd1PITcSWOPa3Y9t2rOKq1523fosL40Yrz/nBUxaK0vqddYyMp5cNbpeTxqs9wHEe5\n4Wfl7aosT0jFM/J6pfGRCW3pGJYRo14XAFoVYRdYQ7EduzV24PR3Uhv5xUOKbb9Upi+wiqNae97Y\nFuXHjlScN0y/IsGC2tr8GhtJKtN+wbz9dguJARnekMxQR8W1ZDKn8XhW3ZtiiiaekOjEAAAti7AL\nrKHY1ksUP/pzFfPZ03r9cIP21y1nxs5QYaxyZtcwDIWDUiDgaHw0pZR/67w7qZUWp1UPsalUUUOD\nafVsiikY/7nUdsZqDh8A0EAIu8AaMgNhRXq2n/YitUZfnDbF236G8uOVM7uSFA57lJ3Iqj0W0qlE\naN5Farmh6ovTHMdRMm3oxPG4zjwzLKP9DBkeuiwCQKviX4AGw6YSjS+2fbdGDzys2PZLl/W6Yj6n\n0Wf71Xnui2s0srVjxrYoffjBqtfCYa/Gkxn1bGzXycGsXuA5JqeYrwis87UdK+YmlM6aio+l1ROJ\nSz7qdQFgrbCpBFaMTSUaX2zH1CK1m5f1uvHnHlO4e5v80c7aDGwNeWNnqFClZleSwtGgTpya0IbN\nMQ0NJlXYtkXe+BEptm3OfbmhZxW5+C0Vr0/Hx2WaBRWLjtpzT8voPq8WfwQAQBVsKgGg1H7swPI7\nMgzv39sU9bpSqRtDvko3Bmmq166jDRtjGh9JKRu7qOoitdzQs/JVKWNIjifl9RQVDPsVGH2cxWkA\n0OIIu8Aaaz/NRWrjh59YdulDvfJE1svJJlXMpSquhdvalM5I6ze0a2w4qUx4W8UiNaeYV370sLxd\nlf1zU4m0PIYUDPlkeiQjUNmtAQDQOgi7wBrzBiMKd29b9iK1XGJY/rZ1NRrV2jIMj8z2zSqMHau4\n5vGHFfAVFAr5lEpmlCh2VSxSy48dkRntlscXqnh9MpmTI0OhsE8Gs7oA0PIIu4ALOnZYGl1mKUMu\nOSpfpPHrdad4Y9U7Mhger8LBoiaSE+rqbtPAUF6aOCmnkJm+Jz9PCYMkpVIF5YuGQkEPYRcAQNgF\n3DCzSG3pcsmRpgq7Znv1jSUkKRyUUvGkNm5u1+BAXE5kixSfuTc3/Ky8VXrsOo6j5IShXM5ROFiU\nYoRdAGh1hF3ABe1nXbz8MobkqHzR5qk/XbAjQ9irVCKtno0xjY+mlIudL40dnL4+38yuk59QKuNV\nJpNX2J+XQl01Gz8AoDEQdgEX+GPdyiaGlvWaXHJEvnAzhd0FZnYjPqWSOW3YVOrIkPFvlpMZnb6e\nGz5QtcduJpGQxyNNpLKKBrKSGazZ+AEAjYGwC7jAH+lSLjGy5PuL+ayK+azMYLSGo1pbZvsZ87cf\ni4aUShXUs7FdI4MJZYw2KT9Ts5sberbq7mmpeEKRsKFEPK2Ib0Iy/TUbPwCgMRB2ARf4op3KJUfk\nOM6S7s8lSrO6hmHUeGRrZ6Eyhkh7RKkJR22xkIpFR6MpvzS5QK2Ym1AhcVLejjMrXpdKpBUOm0ol\nM2oLZGQY/IgDgFbHvwSACzxevzzegArpxJLuLy1Oa54SBkky2zcrP35cjlOsuOYLheXIUS5XVPfG\ndp0cLkyH3fzIIXk7zqzYPliSkomswmGfUsmsosFMxXUAQOsh7AIu8UW7lE0ML+neZms7JkkeX0ie\nQJuKyVMV1wxfWOFAXslEWhs3tWtkaEL5yUy8UNuxZKogXzAgw5BC3nwthw8AaBCVUyOoa319fZIk\ny7Km955GY/JHO0t1u91bF70324Qzu9LUIrWjMqMb5pw3DI/CQUep8aR6Nsb0zP5jyioqv+ZfnOY4\njlITUofpUyjslynCLgCstf7+ftm27fYw5iDsNpg9e/a4PQSsEl+kS7lk687sSpOL1MaOKLBld8W1\ncMijVDylnk0x9T/4jDJGu6Iq9dgNbLEqH1ZIK5XxqugYCoZ88hiF2v8BAABz9Pb2Tk/G3XbbbS6P\npoQyBsAlvmiHssnRxW9Uc9bsSqWZ3cI8HRkiYa9SyUypI8PQhHIqbQ08XxlDbiKhQtFQNpNXMOSX\naSxt8R8AoLkRdgGX+CJdyi2nZjfafDO73tgZ8/fajQaUSuYUCvsVCJoaTZbaiOWGD8hbpYwhNZ5Q\nOCQlxtMKhPzyePnxBgAg7AKuma7ZXYJmndktbRm8QK/didKqtPU9bRoc86iYHpOTTVbU+EpSMj6h\nSMSreHxC4bBXhhmo6dgBAI2BsAu4pNW7MUiSt+NMFcarz+yG2qJKZ6Ri0VHPpg4NjZU2k/CtO7tq\nv+FUMqtwxK/4eEbhsCkRdgEAIuwCrvFFOpRbVs1uE4bdBWZ2Pf6wAv6iJlJZretuUzwp5YZ+IW/X\njqr3J5MFRdqCSoynFQ4ZhF0AgCTCLuAaX3QZ3RgSo01ZxuCJrFcxE1cxN1F50QyUeu3GJ9S5LqJE\nPKv88KGqi9NKbccchduiSibSioZE2AUASCLsAq7xR5Zbs9t8M7uG4ZE3tlmF8WNVrhkKB6VUPKWu\ndREl4xPKJoaqLk5TIaNkxqtoe1jJREbRUFGGl7ALACDsAq5Zfs1u883sSpK3/Qzlx56vei0SNpVM\nTCjWGVYqmVM2naq6oUQhk1A251EgWGpXFg1kJTNY66EDABoAYRdwCTW7JWZsy/ztxyI+pRJZeb2m\ngkGP4ilf1ZrdifGEgkEpm8nLa5oKeNKS6a/10AEADYCwC7jEH11an91iPqdiLi1vqG0NRrX2vO1n\nqDBv+7GgUqnStr9tUUNxY7PMUGXoTyYmJmeB0wpF/DILSWZ2AQCSCLuAa8xgVMV8RoVcZsH7cskR\necMdVdttNQMztkX5edqPhdvCSk04chxH7WFHCWNT1fuSiYzCEb8S4xkFw355CgkWqAEAJBF2AdcY\nhlHaRS258CK1XHJEvmhz1utKpV3U5pvZ9YcjMiTlsgXFQlnFc9Vnt1PJvCLRoBKJdGmr4HxcYoEa\nAECEXcBVvmjHEsJuc24oMcXbfsa8M7vyhkvtxxIZtQcSik9U1uFOtx1rjygRTysY8snMjTOzCwCQ\nRNgFXOWPdC3afiyXHJG/STsxSJIZ26z82DE5TrHimuHxKRwsKJWYULs5qESqygOm2o61hZUYTysQ\n9MnMjRF2AQCSCLuAq3zRzkUXqTX7zK7HF5YnEFUxOVj1ejhkKBVPqd05rHg8X3HdySU1kTEVjvqV\niE/V7CYpYwAASJK8bg8Ay9PX1ydJsixLvb29Lo8GK1XqtbuEmt0mntmVJrcNHj8qM9pTcS0c9mo0\nkdbm9H6lJ35J+VxBXp85fX0ikZDfJ5mmR/HxtDo3tEuFDDO7AOCC/v5+2bbt9jDmIOw2mD179rg9\nBKyiUq/dRcJuorlndiXJjJ2h/NgRBTZfWnEtHPXr6MkJeU0pFPZrZCSp7p726eup8ZTC4VL4TSbS\nikQD0nCWsAsALujt7Z2ejLvttttcHk0JZQyAi/xL7cbQ7DO7C3RkCEdDSk0U5QmvV7TNp+HB5Jzr\nyWRGkYiv9HU8o0jUL3l8Mgx+vAEACLuAq3zRzkW3DG72ml2pFHbn68gQikaUyZlSeJPaoqZGhhJz\nrqeSOYWjQTlFp7RVcNjH7mkAgGmEXcBFvuji3RiyTbxV8BSzfYsK82wZ7PGFFPTmVFh3qdoj0sjw\nTEsGx3GUSjmKxCKamMjK5/fK73MkL7unAQBKCLuAi5ZUs5scbYkyhvw8ZQyZY48pEiwo37VbsWhB\no7PC7lTbsUg0pMR4WuGIX6aRZ2YXADCNsAu4yL+Emd1cC8zsemNblJ9nZnds7y0KBfIaiXvUHsho\nfDQlxynKiT8v5/iDSmV8CkcDSiQyCkX8MpWXTGZ2AQAldGMAXOSLdiqbXELNbhNvFyxJnki3ipm4\nirkJeXyh6fOZ448pd2q/Nu829fPDBQ2PbNbQqaP66d2PqC1qKNR5rgzPuPx+c3L3NL9Mh7ZjAIAZ\nhF3ARUvdQa3ZZ3YNwyNv+yYVxo/Js+7s6fPjez+r9he/X23dQXV3pTU2PKInHi1o45ndmsgHNDiU\n1pazYpKk5HTYpe0YAGAGYRdwkTfSoXxqTE6xKMNTWVVUzOdUzE7IG2xzYXRra6rXrm8y7OaGnlX6\nub1ad8Mt0sRJKXNEgfjTirRtV7ijU2f1zP07ScQzCoR8Mp0Jdk8DAEyjZhdwkcf0ygxElJ8Yr3o9\nlxqVNxyrGoSbjbd9iwqz2o+NP/B3aut9lzz+qIzYDmnzVTLHn1GkLajR4WTF65PxdCnsFlPM7AIA\npjX/v6BAnVuo124rbCgxZXZHhvz4caX23aG2y949fd0wPDKdjMLRgEaqhN14PC1/wCezQNgFAMwg\n7AIuW6gjQytsKDHFnNWRYfyh/63IJW+VGe6ac49h+tUWC2pkqNrMbkbhSEBGgQVqAIAZhF3AZQv1\n2s0lWmhmt/0MFcaPqpAaVvLRf1X7iz9Q5aag2ucJu4l4WpFoQE4hI4OwCwCYRNgFXOaLdM0fdlto\nZtc7uUAt3v8Fhc57rbztmytvMgOKtfs1OpKac7pYdDSRyioSDUiFDAvUAADT6MbgEsuyfk/SaySt\nlxSU1CbpsKSvSuqzbbty6gpNiZrdErN9s/JjRxX/6T9q403fnuemgDpiPo2Vhd1UMqNA0Cef3yvF\nKWMAAMxgZtc975B0VNIltm2fLekjknZL+mtJ/8+yLNPFsWENLVizmxprmZldjz8iTyCq4Fkvlm/9\nOdVvMgOKRqRcNq9sJj99OhFPKxwJyDQNKU/YBQDMIOy651lJn7BtOy9Jtm1/RdKhyWuXS3q5S+PC\nGluwZreFZnYlKbj9asVe+jvz3+ANyKecou2hOaUMpcVpfnlNT6mMge2CAQCTKGNwiW3b11U5fUrS\ntsmvI2s3GrjJF+1S4uj+qtdyyVFFNp67xiNyT/eb+ha+wQzIq7Si7aVeuz0b2yWVZnaDYX9pZreQ\nkbz+NRgtAKARMLNbJybLFnZMHsYl3e/icLCGfNEuZZML1OxGW6OMYUnMgEwnrWhbcE6v3UQ8rVDY\nL9PDzC4AYC7Cbv14u6R1krKSbrZte8jl8WCN+COd89fsJkblb6EyhkWZAXmLSYXbghodniljmN4q\n2DSkfJqaXQDAtJYsY7As6zWSbpE0exXMNtu2Dy/yu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2G3BfkiHbrpXRcrk8np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V6v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\ntWbhcyeLiIiItMXTlFfGih+l7du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"prompt_number": 4,
"text": [
"<matplotlib.figure.Figure at 0x10e71fd50>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Note that that the solution moves towards being more thermally unstable. (H/C decreases throughout the grid)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig,ax=subplots()\n",
"ax.set_xlabel('Radius [cm]')\n",
"ax.set_ylabel('H/C')\n",
"\n",
"gal=dill.load(open('/Users/aleksey/Second_Year_Project/hydro/pow_gals_collected/\\\n",
"pow_gal_M1.0e+08_gamma8.0e-01/vw_600.0_cooling/grid.p'))\n",
"\n",
"loglog(gal.radii, gal.heating_pos/gal.cooling)\n",
"gal.reset(0)\n",
"loglog(gal.radii, gal.heating_pos/gal.cooling)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": [
"[<matplotlib.lines.Line2D at 0x110db4dd0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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pWZtz25/APZe1p0HN4g2C8Xg8LFmyhPfee49PP/0UYwx9+vThiSeeoFatyI54\nFYl3hQXIa3BqZgf8jnmAZd6fmLHWzgfmF+HW68kb0La4zm92pW/EL0AaY+biDFKqi68p92tjTDYw\nwOautCsxVaZMEo3rVKZxncr0aNcgz7mMzGy27D3Cxl1/sHnPH2zdm86Cn7azde8Rtu9PZ9eBo6RU\nKEe96s4SbLWrVqR21QrUrlqBGpXLUz0lmeqVy1MtJZnKFcqRUqEclSuUo2L5spQrW4ay+TRv5uR4\nyMjK5uixbI4cy+bgH8fY98cx9v9xjN0HM9i27whb96azbd8RNuw4zLGsHNo0rEbrE6rSpU0dbund\nltT6VcO27NuqVau46aabKFeuHFdddZVWshFxCWaaRybwJfCh9yfRl1Q725U+4Ervd6XTjDHlcgfs\nWGsviFjOJCoqJJcltX5VUutXDXg+J8fD/iPH2LHPWcR7j9/P1r1HOHDkGAeOZHLwSCZHMrI4kpHF\n4aNZZGRmk5mdQ5mkJMqVTaJMUhIeD3jw4PE4g47KlytDxfJlSSlfjuqVk6lZuQLVKydTu2oFTqiZ\nwrntqnNCrUo0q1uF+jUqRmzw0erVq7nmmmu47777GDhwYKkf5CQSSDBNrMnAed6fZ4Ef8QXLaDap\nhot7ikq6K+3uOy0PpOLM/5RSoEyZJGpVqUCtIqxR6vF4yM7xkJmdg8fbvpCUBEkkUb5cmYgt+h2K\nNWvWcPXVV/PAAw9w6aWXxjo7InGrsAB5DtDf+9Map2myg/fnAZzmyI9wguXnOIubx7sarrR7MXX3\nZ0gKcI9IQEne2mO8DgJau3YtgwYN4v7771dwFClEYQFysffnH8CJ+IJlF5zA0QRnwMutOE2Vs3CC\n5UwiPMUjkUyePPm4YyVl82RJHFu2bGHQoEHce++9DBw4MNbZEQHybpIcb0IZxbrK+/MEzjSPS3CC\n5QVABaA6MMj7cwz4AidYfsTxA19iaT++0bcA7uGK7jLxcHy/ZEiGDx9enNtFiu3gwYNcd911DBs2\njCuuuCLW2RH5U1paWsDKwksvvRSD3ORV1HagHcC/cYJkHWAgzpJ0uVtblQd64syH/B1YitMkGw9W\nu9LucfLuyWSZaLk8SWCZmZkMHz6cLl26MGzYsMJvEBEgtBpkfv4A3vf+lAXOwtcUm4rTFHs6ztzJ\nR8LwfsW1mLwjWd3b3rvTS621mcV5w9wmVjWrSrR5PB7uu+8+ypUrx8MPP6zRqhLX4q25NdzL+2fj\nTLRfiLN69uARAAAgAElEQVTizin4gmW8RIbXcfpUc39TNHadb+JKF7RIQFDUxCqxMn78eJYvX877\n779PuXLh381DJJz8m1vjoYm1sP8xrwITge+K+PzKOAuIdwFOKOIzwspau8oYMxlnE2hwltDz51+7\nXEYYAqRqkBILkyZN4r333mP69OlUrlw51tkRKVS81SALa2/JwRl0814Rnz8I+C9F7+sskDHmcr+k\nO4+3ALu9r2d4NzvOva888DaQO859EjAdZ/rKGJy5nyuBXtbarcXMo2fp0qXFeYRIyKZMmcLrr7/O\n1KlTadiwYayzIxKytLQ0rLUx7RMIps2lO8cPXAnWGUW8L1j+QdG9g8dEv+Mt8FsByFp7DBhojBmA\ns93VAGAIcBhYgrOzx6Ti9j2KxMLLL7/Mq6++yrRp0xQcRYohmBpkcXk4fipFqaEapETTSy+9xMsv\nv8y0adNo3NjdvS6SOBKlBinFpD5IiTSPx8Pjjz/OrFmzFBwlYSViH2RxqQapGqREUFZWFnfffTer\nV6/mjTfe0DZVUiKoBikixZKens4tt9zCsWPHePfddzVaVSSMggmQtwGfBDheE7DAtcBX+dx7CfBc\n0bJWcqiJVSJh27ZtDBkyhJYtWzJ27FjKly8f6yyJFEu8NbEGEyB3Ar8FOH7Y++f2fM4D7Ao9SyWP\nFgqQcPvhhx8YOnQogwcP5tZbb9UKOVIiJNpCATcC3xbj+Uu8zxCRMPnwww954IEHeOqpp7jwwgtj\nnR2REquwAPlaMZ+/AS30LRIWWVlZjBkzhhkzZvDOO+9w8sknxzpLIiVaYQGyKc5qNEeK+PwUnN0+\nNhZ2oYjkb9euXdx8881UqFCBmTNnaqSqSBQUFiB/o3hLzfUD3qIUT/MADdKR4lm6dCkjRoxg0KBB\n3HHHHZQtW6r/O0kJloiDdPLjXtotP6V+9IAG6UhR5OTkMHHiRF566SWefvppevbsGessiURUog3S\nAZgAPB7geO7X2DeBo/ncW4XgA6mIeO3YsYPbb7+djIwMZs6cSaNGjWKdJZFSJ5gAWdf7k58Ghdyv\nACkSgvnz53PnnXdy7bXXcvvtt2sfR5EY0f88kTiRnp7Oo48+ypw5c5g4cSJdu3aNdZZESjUFyCjQ\nIB0pzE8//cTf//53TjzxRObMmUONGjVinSWRqIu3QTrBLFa+kPxXyilMC+BsSvEoVi1WLgXJyspi\n8uTJTJo0idGjRzNw4ECtiiNC4ixWPpGiT/MYBJxTxHtFSrR169YxcuRIKlWqxIwZM2jatGmssyQi\nfsoUcn4j8Ecxnv8H8Hsx7hcpcbKzs5k0aRIDBgzg8ssv591331VwFIlDhdUgmxfz+R97f0QEWLt2\nLaNGjaJ8+fLMmDGDZs2axTpLIpKPwmqQEmE7duzgvvvuIzs7O9ZZkQjKysrihRde4NJLL2XgwIFM\nnTpVwVEkzilAxljt2rX59ddfeeKJJ2KdFYmQn3/+mf79+/PFF18wc+ZMBg8eTJky+q8nEu80zSMK\nCprmUa5cOV588UV69+7NqaeeSt++fWORRYmAI0eOMG7cON577z3uuecerr76ao1QFSlAok3zkGIK\ndprHihUruOaaa5g2bRpt27aNQs4kkubPn899991HWloao0ePpm7dghajEhG3RJnmIVHQvn17Hnzw\nQW688UZmzpxJ9erVY50lKYLt27czevRoVqxYweOPP06PHj1inSURKSJ1hMSRK664gvPOO4/bbruN\nnJycWGdHQpCdnc1rr71Gz549SU1NZd68eQqOIglOATLOPPjggxw4cIAJEybEOisSpG+//Za+ffvy\n4YcfMn36dO6++24qVaoU62yJSDGpiTXOJCcnM2nSJPr06cNpp51G9+7dY50lyceWLVv417/+xXff\nfcf999/PgAEDNAhHpARRDTIONWjQgOeff57bb7+dzZs3xzo74pKens64cePo1asXrVq1YuHChVx6\n6aUKjiIljAJknOratSsjRoxg+PDhZGRkxDo7Ang8Hj799FPOPfdcVq1axezZs7nzzjtJSUmJddZE\nJAIUIOPY8OHDadSoEQ8++GCss1LqrVu3jr/+9a88/vjjPPXUU0yZMoXGjRvHOlsiEkEKkHEsKSmJ\nsWPH8tVXXzFt2rRYZ6dUOnToEP/617+49NJLOeecc/jss8845xxtUCNSGmiQThQUZ8PkqlWrMmXK\nFK688kpOOeUUTjrppEhkUVxycnL43//+x5gxY+jWrRvz5s2jXr16sc6WSImmlXRKmXBtmDx9+nSe\neeYZZs2aRdWqVcOQM8nPd999x0MPPURSUhIPP/wwp59+eqyzJFLqxMNKOmpiTRADBw7k7LPPZtSo\nUXg8nlhnp0TatGkTI0aM4Oabb2bIkCF89NFHCo4ipZiaWENgjGkN/BM4F0gHPMA04BFr7eFIv/8/\n//lPBgwYwOuvv87gwYMj/Xalxv79+xk/fjzvvvsuQ4cO5ZlnntFEfxFRDTJYxpg2wBJgEPA3a20q\n8G/gLmCuMSY50nmoUKECEyZM4Omnn2b9+vWRfrsSLyMjg8mTJ9OtWzcOHz7M/PnzueOOOxQcRQRQ\ngAzFk0ANIBv40Hssd2hpZ2BENDLRqlUrRo0axe23305WVlY03rLEyc7OZurUqXTr1o2vv/6a6dOn\n8+STT1K/fv1YZ01E4ogCZBCMMSlAH29yv7U2NzLt9LvsymjlZ/DgwaSkpDBx4sRovWWJ4PF4mDNn\nDr169eLNN99kwoQJvPbaa7Ru3TrWWROROKQ+yOC0Acp6Xx/xO/6H3+uozb8oU6YM48aNo3fv3px3\n3nm0a9cuWm+dkDweD59//jljx47lyJEj3HPPPfTs2VNLw4lIgRQgg1PF73V2Pq+rRSkvADRq1IjR\no0dz6623Mn78eDp06BDNt08IHo+HhQsX8vTTT3Po0CHuuOMOLrnkEsqUUcOJiBQu4QOkMaY38BzQ\nyu9wc2vtxkLu6wfcgNN/WBs4CKwEpgKT/ZpRAfxHqJbN5/XB0HNfPJdddhmHDh1i6NChtGjRgltu\nuYXu3buX+ppRbo1x3LhxHDx4kFGjRtG3b1/Kli1b+M0iIl4JGyCNManAs0Bf16kCJwl6R5v+B1+f\n4WScoNgReAzoBgwzxvSy1u7wXrMGyMIpL/+VqSv7vV5ZhI9RLElJSQwePJi//OUvfPDBBzz88MNU\nrVqVV199lVq1akU7OzGXk5PD3LlzGT9+PEeOHOH2229XYBSRIkvItiZjTFecgNQG3+CZYI3FFxx/\ntNbebK2db60dC7zqPd4e+MgYUwbAWnsEmOU9V8MYk/vFwn/tsakh5iNskpOTueKKK5g3bx5nnHEG\nAwcOZPv27bHKTtQdPnyYV155hW7dujFu3DhGjBjB3Llz6d+/v4KjiBRZQgZIoBLwANDOWjursItz\nGWPaArf6HVrsumSh3+tOwPV+6buA/Thl1t977DLvn0uBF4PNR6QkJSVx7733ctlllzFw4EA2bdoU\n6yxF1KZNm3jooYfo0qUL33zzDePGjWPWrFn07dtX/YwiUmwJ2cRqrZ0PzC/CrdeTd/3ZLa7z7t2J\nb8Rbq7TWrjHGdAEeBl4wxjzpfdbTwMOuPsuY+vvf/06VKlW47LLLGD9+PKeeeiqVK1cu/MYEsXTp\nUqZMmcLixYsZNGgQs2fP1tZTIhJ2CRkgi+FsV/qAK73flU4zxpTLDX7W2rXA1ZHKXDjdcMMNVKtW\njQcffJD169dTu3ZtWrduzV/+8hcuvvjiWGcvZGvXruWTTz7h448/5ujRowwdOpRx48ZRpUqVwm8W\nESmC0hYg27rS6a70UVe6PJCKM0gn4QwcOJCBAweSnZ3Npk2b+Pnnn3n00UeZN28eDz/8cNzXKnfu\n3Mn06dOZNm0a+/fvp2/fvjzxxBMYY9SEKiIRV9oCZA1XOtuVdjeTJgW4J+GULVuW5s2b07x5c7p3\n787o0aPp1asXzz//PB07dox19vLYtWsX3377LdOmTWPJkiX07t2bxx57jE6dOikoikhUlbYAGRO5\nGyb7K8rmyeFQpUoVxo4dyyeffMJ1111Henr6n9tnVa5cmaFDhzJ06FBSUlIKeVJ4rFu3jtmzZ2Ot\nZfny5aSnp9OhQwf69+/PhAkT1IQqUsLF2ybJ/kpbgNwP1PVLu+cAuMvDw/H9kiEbPnx4cR8Rdn37\n9uXCCy8kMzMTcEbAbtmyhbFjx3L22Wdz2223MWjQIPbt28fWrVvZunUrderUoXPnziFPnTh06BDr\n168nIyODo0ePcvToUX744QdmzZrFwYMHufDCC7n00ksZPXo0TZs2LfULHYiUJmlpaQErCy+99FIM\ncpNXaQuQq8kbIN37GlV0pTOBDcV909waZKxqjflJTk4mOdm3S1erVq148cUXWbFiBU888QQPPPAA\ntWvXpmHDhjRs2JCNGzeyZ88eLrnkEvr3709SUhIrVqxgxYoVrFmzhrp169K6dWtatWpFzZo1+fbb\nb1m8eDGrVq2iRYsWVKpUiQoVKlC+fHlat27NU089xemnn66mUxEB4q82WdoC5GLyjmSt7jrvTi+1\n1mYW903jsQZZkPbt2/Pmm2+SlZVFuXJ5/4msXbuWDz74gJEjR1K+fHnat29P+/bt6d+/P7t372bd\nunXMmTOH3bt3k5aWxl133UVaWpr2WBSRQvnXJlWDjL7XgX/gmwvpnjzXxJV+lVLMHRwBWrduzV13\n3cVdd90VgxyJiERPqQqQ1tpVxpjJ+DY3PtN1iX/tchlhCpDx2sQqIhJP4q2JNWFHQxhjLvdLvuc6\nfQuw2/t6hrX2z/mOxpjywNvApd5Dk4DpQAdgDJCMs85rL2vt1jDk07N06dLiPkZEpFRJS0vDWhvT\nGJXINUj/oOjewWOi3/EWwJ9bX1lrjwEDjTEDcLa7GgAMwdnSagnOouOTwtH3KCIiiSthA6S1tlhD\nH621HwAfhCk7BVITq4hI4dTEWsqoiVVEJHTx0MSqCWgiIiIBKECKiIgEkLB9kIlEfZAiIoVTH2Qp\noz5IEZHQqQ9SREQkTilAioiIBKAAKSIiEoAG6USBBumIiBROg3RKGQ3SEREJnQbpiIiIxCkFSBER\nkQAUIEVERALQIJ0o0CAdEZHCaZBOKaNBOiIiodMgHRERkTilACkiIhKAAqSIiEgACpAiIiIBKECK\niIgEoGkeUaBpHiIihdM0j1JG0zxEREKnaR4iIiJxSgFSREQkAAVIERGRABQgRUREAlCAFBERCUAB\nUkREJAAFSBERkQAUIEVERALQSjpRoJV0REQKp5V0ShmtpCMiEjqtpCMiIhKn1MRaBMaYXsBzQFvv\noebW2o0xzJKIiISZAmQIjDHJwFSgEb6y88QuRyIiEilqYg1NOeB9a20nYEusMyMiIpGjGmQIrLXp\nwOuxzoeIiESeapAiIiIBKECKiIgEkDBNrMaY3jgjR1v5HS509Kgxph9wA9AZqA0cBFbiDLaZbK3N\n8ru2GfCr6xGvWWuHFv8TiIhIIon7AGmMSQWeBfq6ThU4etQ74vQ/wJXeQ5NxgmJH4DGgGzDMGNPL\nWrvDe00STq3a/9mqZYuIlEJxHSCNMV2BBcBvQB9gRgi3j8UXHH+01t7sfT3fGNMaGAa0Bz4yxnS1\n1uZYa39DATFili5dqqX2vFQWPioLH5VFfIn3YFAJeABoZ62dFexNxpi2wK1+hxa7Llno97oTcH2R\nc+jUOrVkXxDiaY3FWFNZ+KgsfFQW8SWua5DW2vnA/CLcej15g5Z7zuJmV/pG4NVgHmyMmYuzgk5d\nfE2xXxtjsoEBVv/CRURKhHivQRbV2a70AVd6vyudZowJ6suCtfYCa20Ta21Fa21Z709D77GoBMdQ\nFj8P5tr8rgn2eEHpSC/UrrLI/72Le20oZRHMsWiVRajPVlmEdn2ilkVRlNQA2daVTnelj7rS5YHU\nyGUnvEKJw8Fcm981wR4vKB3p7wwqi/zfu7jXhlIWwRyLVlmE+myVRWjXJ2pZFEVJDZA1XOlsVzrL\nlU4KcI+IiJRiCTW4xBiT45f0AC0CzYM0xmQAyX6HbrDWvu53PhVY57rtDGvtt+HMr/e91gEtw/1c\nEZES7ldrbavCL4ucuB6kUwz7cQbR5CrrOu/+3B6O75cMi1j/BYuISNGU1CbW1a50JVe6oiudCWyI\nXHZERCTRlNQa5GLyjmSt7jrvTi+11mZGNkuBBbP5sjGmEnAHcDlQD/gDqAwsAyZaaz+NXo4jJ9iN\nqI0x1wB/BxoDx4AjOKsmjbXWuvubE4ox5h6gN1AH54tcVWAj8F+cpRH/cF3fGvgncC7OYDQPMA14\nxFp7OIpZD7tQy8J7T4nczDyUsihKuSWSEMtiCDAIqI/TpdgU2AXMBcZZa9cU9F4ltQb5OnmXi2vs\nOt/ElQ5qDmQ4GWOSjTEfAI9S+ObLk4B/AacB11lr2wJf4Cy/N8MY0z3S+Y2kUMrCGPMo8CbO2rp9\nrbUtgU3A48DbUchupA3GmbfbwfvZ/h9wOvA0MM8Y82d3gTGmDbAE5xfA36y1qcC/gbuAud7lFhPZ\nYIIvi1D+PyWiwQRZFiFem4gGE/zn6wtsA0631rYHzsQJlsOARcaYKgW9UYkMkNbaVThrr+Y603WJ\nf+1yGTEIkIS2+fLp3j89+JqPc/9M8jufqIIqC2NMeWCkN7nDWrvc+3qm98/LjTEXRC6bUfEr8GDu\nIvrW2jdwlloE50vBuX7XPokz+job+NB7bJrftSMindkIC6UsSvpm5qGURSjXJqJQPt944B9+1/6M\n73dnbY6vLOUR902sxpjL8zmVBFxsjNntTc/wbmicayTON4VLgVONMROB6UAHYIj3mpVAP2ut/+jY\nqAhx8+VXcNaWTQI6GmO24tQmwWku+CD8OYyeEMqiFr7+5EN+x/2bEi/BaT5JSNbaPgEO7wKae19X\nBjDGpOCsTwyw329Xmp1+910JTIhANqMi2LLwXluiNzMPsSyCvjYRhVgWC/wvMsZciLMGN8DnwKqC\n3ivuAyTwnt9rd5PJRL/jLXDaoQGw1h4DBhpjBuBsdzUAJzAexmmWmgpMilXfYyistc8YY/YB43CC\n4U6gAbAIp8n1txhmL5p24Pz9VSFvP7L/HNaEWfAhGN7motzPdAjn7xygDb7R2Uf8bvHvXzopsrmL\nrgLKotQJpSxKerkF8/m8gfENnNkN2TjdVndYawtsho/7AGmtLVYzsLX2AxK8hmWMGYXTvp6Js3D7\nKmPMOJxa8kJjTHdrbYkfhWut9RhjnsIZlFLPGHM28A3Q3++yuP83HaK/4jQFHQOGWGv3eI/7951k\n5/O6WoTzFm35lUVpFEpZlPRyK/TzWWtnA/WNMX1xKl0jgNONMT2ste6V1f5U0n6ZFFs0NmYOMT81\ncfavBPjB278KzoitkTgDkB70vndYxVtZAFhrHzHGbMFZkP41nP6I+UDuQKWI/OePRVkYY84HngfW\n4LQU+C9k4d+sXDaf1wcLyltRxWFZxEy8l0U0yy3eywLAWvuJMeZlnN2eOuNsVDExv+sVIL2ivDFz\nKNrgrBULeRdd91/YoD1hFMdlAYC19hWcftnc9+2EU6sECOtijrEoC2NMEs7IvNHe937YWnvMGNME\nOGyt3YfzCyEL5/9wit/t/v1LK4P9nMGI47KIungvi2iWWzyXhTGmRYDWNf//FycXlMcSOYo1VN6N\nmVfiBKNAHcAFOW5jZmvtfGvtWHyjY3M3Zi5KeW/3e109n9dFDjZucV4WGGPONca4d5Tt7P0zA3in\nKM/N572iXhbeXzYLgH5AJ2vt/3n70wEe8R7HWnsEyN0jtYbfbjT1/PIwNcQ85yueyyLa4r0sollu\n8V4WwDJjzAmu9/UfubqdAihAOuJlY+bjNl+21v6O75f+qd5vSODrd8vE6Z8Ml7gtC68+wBRjTHXv\n+7YB7gZygJHW2m3B5jkIsSiLr3C+OZ8EfGmM2Z37A1xF3m/ld+G0JJTB9+/hMu+fS4EXg81zEOK9\nLAKJ1Gbm8V4WxS23UMR7WQA8njsn2BjTARjuPb4dZ95wvtTESuw2ZjbBb758HfAt8BfAGmMO4TSr\nvQ88aa1dUoS8B5QAZfEdcA7wkzHmKE5Negkw2Jv3sIlRWVTA+fw1g8jfGmNMF+Bh4AVjzJPe930a\np8mpyH29Ad4rrssCoreZeQKURUjlVhwJUBbP4YxP+NFbC22MM9vhLWCMtbbAGqQCZPEUaWNmv0mr\nQU1q917/rPcnXkWrLN4F3i1aFqOmyGVhrQ3pl5q1di1wdagZjKJolkW8LxIRlbIItdxiJFpl8VBR\nMpdLTazFU6I3Zg6RysJHZeGjsvBRWfgkRFkoQBaPNmb2UVn4qCx8VBY+KgufhCgLBUgREZEAFCCL\nx91OHrONmeOAysJHZeGjsvBRWfgkRFkoQBaPNmb2UVn4qCx8VBY+KgufhCgLBcjicc/diduNmaNA\nZeGjsvBRWfioLHwSoiwUIIsn7jdmjiKVhY/Kwkdl4aOy8EmIslCALAabGBszR4XKwkdl4aOy8FFZ\n+CRKWURiGaaEZPJuzPye6/QtQMCNmY2zy/3bOBszg7PPWO7GzGOAZJy1CntZa7dGIOthp7LwUVn4\nqCx8VBY+JbksFCC9jDE5fkn3Wn5JfsdbBNq+xfg2Zu6Es2XLYeBnEmhj5lwqCx+VhY/Kwkdl4aOy\nEBEREREREREREREREREREREREREREREREREREREREREREREREREREREREREJzt+AnAA/owNcewIw\nHzgATCExt6Z7iMCfNwdoGrtshawH+X+O62OXLYm0RPxPJ+LvN/L/5eX/cwzYDswBbgYqxCCvnwJX\nAwtdx907IAA8ifOLuSowFBgcyYxFyRfAIO/P7kKujSc/4+T5auAX17lAf3ciInGhD3Al8Dl5A+IO\n7/G/Ao960/7nVwMtop9dAF5z5eXBANf87LpmfLQyF0YPkfczvBLT3ITH5+T9TNfFNDcSUapBSqKb\ngbNJ62+u4394j/8HuB84Bdjkd7418AHx+3/gh0LSIhJh8frLQSTcduPUJP21B86NQV6C8f9waisH\ngZdxap0iEkXlYp0BkSgKVAs7FZgX7YwEYRtwXqwzIVKaqQYppcnRAMfKBjjWArgTmIXTV7kXZ5DP\nPmAp8AzQtpD3ag5MAjYAGd57PwcGFHJfDwIPMnrV75qLgrjmzXyuCeR84L/AOuAwzmfdBvwITAX+\nAbQsJN/hUAlnANUcnD7jDG9+1gIfAncBJ/pd/xqBP2N34HTgI5yWgyPACmAUkOS9tz7wIk6zewaw\nEXgeqBGhzyYiEjOvkfeX5PoA11zB8b9MLwhw3ePec7nNstfhBEzrd18GcGM+eemO0zSae+064Bbg\n7zh9pVtcefAfpFMXuAonMOU3wKV+ENd04fhpJdkB8vqg3/l04DngBmA4Tpke8567P5/PWpCHCsif\n28nAGr9rDwNP4Qyyuhf43e9crik4wc/9GUd7P0uWN+1/fiJO//NW7zn3+aUU3LL2uet6DdIRkbj3\nGgUHyCTga9c1S/J51uM4vzg7uY6XIW+QPAa0cV1TB9hJ3l/Yp/id7+DKQ36jWB9yXRMouBR2TXOO\nDx7+mpI3QDwQ4D2u8p67L8C5whSWv1y1cWpw/vnsGeCaHQQO8r+53ucPnBHMycCZOMHS/9kbcb74\nVAUa4Uzd8L//6gI+0+euaxUgSzA1sUpJVRbnl2pDnL68z3BqVeDMXZuBM0UkkE+Am4DvXMdzgGl+\n6XI4NRx/N+MEyVzrcKZs5FoOrArqE0ReF3xNjgDVAlzzLk5T6/4I5uMuoLFf+mecvy9/ewh+msgr\nOCOYM4GvyPtFKAln8YX7gUM4tfl3Xfer71cADdKRkqsJsMt1LAf4H06NraAgtcj7k6sikILzhfKw\n69pTXGl30F0b4PlryduXFivuz3Inzuf5CGcVnzXe46dFOB9XutJL87nuZZw+3cK4F2LYHuL5RkG8\nh5QCCpBSUm3Haf46Ead5sAFOgLscZzDIFQQetJNrIDAE6AzUKuC66q60e/DOvgD3HCzgedG0BKc2\n5f8ZLvL+gNN0+S5Ov6Q7iIRLFZymYH/5vdc6709hdrrSGSGerxjEe0gpoCZWKamOAnNxRiZejDNg\nI1cfnKXc8jMRZwDMRTjB8VvgWpwBPU+5rk1ypau60lkcL1A/WizsxVnC7lA+55sDd+PUtrvkc01x\nub9ggNO3Wxzu5d9CTYsACpBSOvwATHYdu5njB9gApAEj/NK78E2DmM/xa3G6uYNNoFaaQFNLIsEd\nvAP5EEjFaV6dR+BadTWcEaORcCDAsfIRei+RkChASmnxCM7oxlxlvcfcurnSX7nuK4y7b7NmgGsC\nDYYpCnfToDvwumuzbik4TdB7ceZ29sTJ78U4Xwb8tQMqFy2bBTrM8f2KDfO5tgnOF5iCmrxFwkYB\nUkqLncA417HLgY6uY+7aS6YrHahJ0N8MVzpQLbV1Ic8I1iZX2h14C3ufbsBKoKvfsQycXUf6cPwX\ng0iNWXjPlXZPr8k1Gae5u3mE8iGShwKklCZPkXdkaxLwmOuaFa50miud39SQXC+SdyunVji1r1wd\nCN8I1s/JO3HePaL2miCfM5rjfxdUxJlHmGsFgZtDw+EpnLmJuU4Cermu6YjTB7wEWBahfIjkEa2+\nEJFIuQRnWbGeQDO/41k4Nax2OIsGZOIM/jiGb5QmOAHsAE6tZB3O1Ib+OKNewVl6rB1OzfFenGXo\n6vndn44zRw+c4JuOU8sZiG/Pyd7e/JyBMyI0nbzNn3twAtROnGbMfjhLzp3kd81B732575N7rA7O\nSFtwmh5bevM60vsZmvs9IwmnCbgezgjVVsBfvPdciVMDbYkTnCb4lcEBnP0QtxCaHjirCuX6AafP\n0y0dZ1m/C/DNIb0Up4wae/M20ZuPAfjKuwtwDs7fV4rf8zZ5P+tOnL8H97+N3PL+Geffz7nk/SLk\n/jpGSu4AAAElSURBVDv1N9j1rA9w5raKiMSdDfhWSHH/5B5v6nd9MvBrPtfl9n3VxhmUshWnyXEH\nztzAnjg7yOcEuNe9Gk5zfGuxpuNMtP8cJ/i9ms8zuuFbizW/z+J+nyScifa/+L3PNzgDjVoEeFYO\nvv7FusDtwBvA997Pm47zJWIHzlzQh/EFylA9RGj7QVbAmVozAycYH8Vp5l0BPEHeBRjg+HJ0f8Zm\nBZzPHUkc6N9PfmUNWklHRETC4CHyBpP/4nz5qENwI2zjRTmcPNcBFqMAWWqoD1JEIsU9v3AQTpPl\nTpwRqYnibJw87yTvgCbNnyzhEulbnIgklhben0AWc/w0lXhVA6efO5CVRG6VIRERERERERERERER\nERERERERERERERERERGB/w9u89ot8Bp42gAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x111184750>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Solution does not appear to be all that well converged (though $r_s$ appears to be fairly stable)--see the plot on the bottom left hand side"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"gal.conv_plot_sol()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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HLZ5tQYgZJSUlTJw4ERCLiCBEg1hEhI5CfX09WVlZtLS0UFdXR1ZWlt1VEkwk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\nKg+H+rxEREYWcIAthJgC4EMA3wG4AsCbQfycJ3HmI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"prompt_number": 13,
"text": [
"<matplotlib.figure.Figure at 0x111134610>"
]
},
{
"metadata": {},
"output_type": "display_data",
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HLZ5tQYgZJSUlTJw4ERCLiCBEg1hEhI5CfX09WVlZtLS0UFdXR1ZWlt1VEkwk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\nERERERERERERERERERERERGRTv4fiiWWAZW+6pEAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x111134610>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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