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@jmark
Created November 4, 2016 16:50
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Stretched Box with Density Gradient
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Stretched Turbulent Box with Density Gradient: Plot File Version"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [],
"source": [
"import os\n",
"os.environ['PROJECTDIR'] = \"/home/jmark/projects/stirturb/turbubox/tools\"\n",
"\n",
"import sys\n",
"sys.path.extend([\"%s/%s\" % (os.environ['PROJECTDIR'],s) for s in \"bin lib\".split()])\n",
"\n",
"from matplotlib import pylab as plt\n",
"from mpl_toolkits.mplot3d import axes3d\n",
"import numpy as np\n",
"import flash, flexi\n",
"import ulz\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"flshfilepath = \"/home/jmark/projects/stirturb/norm-mix_hdf5_plt_cnt_0100\"\n",
"fl = flash.File(flshfilepath)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(64, 64, 448)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dens = fl.data('dens')\n",
"Nx,Ny,Nz = dens.shape\n",
"Nx,Ny,Nz"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Fancy plots"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f798be3b320>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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cox7g51Vxo0qX3RFUCW//pNvpy3ED1BGYTIuOfd4qB8yrut+yRUGzyEJomkmO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\nJEmSJPX4DxSsrfxOwr/wAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f798beadbe0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(12, 5))\n",
"\n",
"ax = fig.add_subplot(1,1,1)\n",
"ax.set_title('32-y-z-slice: density')\n",
"img = ax.imshow(dens[Nx//2,:,:])\n",
"plt.colorbar(img, orientation='horizontal',fraction=0.2, pad=0.06)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f798bd23ba8>]"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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zlBNSFggvT1w0a0ZEJAOuvRbOOgs+/hg6dUq6Gqk0mjUjIlLBnPOXZfbbT40Q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\nZma1cSJiZmZmtXEiYmZmZrV5Awyqt8uiZ3jtAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f798be01048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.title(\"z-ray through center\")\n",
"plt.xlabel(\"z in index space\")\n",
"plt.ylabel(\"density\")\n",
"plt.grid()\n",
"plt.plot(dens[Nx//2,Nx//2,:])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f798bc66da0>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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hfV1eMHsLVf0aHsTwM4CFYBEbT/Tjxpb2Gek3v06yMSZODaytOABhPbOwBgzr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\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Q1u46p1HtqQ50naC3ErVK4D7DLKaQsp7PeZrf8l684zvFN7ktniinO2MdLhqzIE1qFqVJ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f798bd37cc0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(12, 5))\n",
"\n",
"ax = fig.add_subplot(1,1,1)\n",
"ax.set_title('x-y-150-slice: density')\n",
"img = ax.imshow(dens[:,:,150])\n",
"plt.colorbar(img,fraction=0.046, pad=0.04)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Powerspectrum around the area z = 150"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from numpy.fft import rfftn, fftshift\n",
"from shellavg import shell_avg_3d"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"time = fl.realscalars['time']\n",
"step = fl.integerscalars['nstep']\n",
"\n",
"c_s = fl.realruntime['sim_cambient']\n",
"rho0 = fl.realruntime['sim_rhoambient']\n",
"\n",
"Vgrid = np.prod(fl.gridsize)\n",
"Vcell = np.prod(fl.cellsize) \n",
"Vdomain = np.prod(fl.domainsize) \n",
"\n",
"# cut out block of 64**3 at round z = 150\n",
"density = fl.data('dens')[:,:,120:120+64]\n",
"velocity = tuple(fl.data('vel'+dim)[:,:,120:120+64] for dim in 'x y z'.split())\n",
"\n",
"ekin = 0.5*Vcell*density * ulz.norm(*velocity)\n",
"fekin = fftshift(np.abs(rfftn(ekin)))\n",
"\n",
"nsamples = None # use default value\n",
"radii,totals = shell_avg_3d(fekin**2, nsamples)\n",
"powerspectrum = radii**2 * totals"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f798b1e6a20>]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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TjlZEKp0KDolNbW1t2iFUnbhy3rEj/PKXcMEF8NJLMGcOnHJKKET+8AdYay34\nxS/CuB5z5lT3SKY6z5OnnGeDCg6JTUNDQ9ohVJ1S5Nws3GY5/nh44gl4551wlaNLFzjzzNDT5ac/\nhaOPDldFqm1gMZ3nyVPOs0FDm4tIm335Jfztb3DXXeHx1luw0kqh50tNDeyyC6y8ctpRisjS0NDm\nIpK65ZYLxcVll8H//gczZ4YrHf/9b2iMuvrq8KtfwYUXwiuvpB2tiJSTpSo4zGy5uAIRkcpiBptv\nDmPHwqxZMG8ejB8Pyy4Lo0aF2y6DB8Onn6YdqYiUg4ILDjNrZ2Ynm9mbwOdmtl60/HQzOzT2CKVi\nzJ8/P+0Qqk455XztteGII+C++2D+/DCw2K23Qs+e8NhjaUcXn3LKebVQzrOhmCscJwGHACOBr3OW\nPwf8IYaYpEINHjw47RCqTrnm/Ic/DMXH7NnQtSvssAOMGAFffZV2ZEuvXHOeZcp5NhRTcBwEHObu\nNwELc5bPBjaMJSqpSGPHjk07hKpT7jlfbz34+9/hnHPgoovC4GKzZ6cd1dIp95xnkXKeDcUUHD8G\nXm5hWx2XLhypZOoRlLxKyHn79jByZBg6HULRcc45sHDhkt9Xrioh51mjnGdDMQXH80DfZpbvBTy1\ndOGISFb16AFPPgnDh8OJJ8L228PcuWlHJSJJKabgOA2YYGbHR+/fw8yuAkZHr4mINGvZZaG2Fh59\nFN58MxQhV11V3SOXilSLggsOd78T2BXYCVhAKDK6A7u5+4PxhieVZOLEiWmHUHUqNed9+8Izz4S5\nXA47LAwaVinztVRqziuZcp4NRY3D4e4z3H1nd1/D3Tu5+7buPj3u4KSyzJoV24B00kaVnPMf/hCu\nvhruvBP+9a8wZPodd6QdVesqOeeVSjnPhoKHNjezucCW7v5B3vLOwCx3Xy/G+Iqioc1FKst778Hh\nh8O0aXDwwaFHy0orpR2VSHUqp6HN1wXaN7N8WUIPFhGRgqyxBkydCtdcE/7t0SN0pxWR7OjQ1hXN\nrCbnaX8z+yTneXtgR+C1mOISkSpjBoccEgYJO/jgMCfL8OFhhtrlNImCSMUr5ArHtOjhwHU5z6cB\nU4CdgWMLDSAaKv10M5trZg1m9rKZnZS3zhgze8HMPjezD83sQTPrXei+RKT8rbtumJH23HNhwgT4\n+c/hKXW4F6l4bS443L2du7cD5gFrND6PHsu6+8/c/Z4iYhgFHA4MIYxUOhIYaWZDc9b5L3AksAmw\nDeFKynTcnYTaAAAgAElEQVQzW7WI/UmJ1NTUtL6SxCqrOW/XDo49NgwW1qEDbLUVnH12eQwWltWc\nlzPlPBuK6Rb7E3ePcyadPsCd7n6/u89z96nAdOC7KxjuPsXdH3H319z9BeAYYEWgR4xxyFIaOnRo\n6ytJrLKe8003DT1Yjj0WTjoJuneHU0+FF19ML6as57wcKefZUHAvFQAzWx7YHugGLJP7mrtfXOC2\nTgD+CPR395fMrCdwPzDc3ac0s35HYBhwIvBTd/+wmXXUS0UkY/79b7jkktCo9PPPYYstYN99YeDA\nMEGciMSjVL1U2txotJGZ9QLuBToBywMfAqsBDcB7QEEFB3AO4WpFvZktJFx1GZ1fbJjZbwhtRToB\nbwE7N1dsiEg29e4dHpdfDn/9K9TVwejRYRba7baD/faDPfeEVXWjVaQsFdMt9kLgbmBl4Atga2Ad\nYCZwXBHbGwjsB+wD9AIOBkaY2YF56z0C9CTcgrkfuNXMVitifyJSwX7wA9hrL7j99jA66aRJYcj0\nI46ALl1g111h8uRwFUREykcxBcdmwPnuvogwPf2y7v4GobHnWUVsbxxwtrvf6u5zomnvLwROyF3J\n3b9w97nu/m93/yPwLXDokjY8YMAAampqmjz69OnDtGnTmqw3ffr0ZhslHXnkkYsNqTtr1ixqamqY\nP79pM5YxY8ZQW1vbZNm8efOoqamhvr6+yfLx48czYsSIJssaGhqoqalhxowZTZbX1dUxaNCgxWIb\nOHBg2R3HtGnTMnEcUDmfR+4+K/k4chVyHPfeW8ejjw7igQfgrbfgwgvho49g//0Hsuqq09hnH7jr\nLvjqq/iO46CDDor9OLLyeZTqOM4///xMHEc5fh51dXXf/W3s0qULNTU1DB8+fLH3xMLdC3oA7wMb\nRP9/kdD2AkIPk4YitjcfODxv2QlAfSvvexk4pYXXNgd85syZLsnZe++90w6h6ijnzXv1Vfezz3bf\ndFN3cO/c2f3QQ92ffHLpt62cJ085T9bMmTOdMATG5l7g3/QlPYoZ2nw6cK27T45mie1BaLdxILCy\nu29V4PauIQwa9idgTlQsXAFc7e4nmlknwky0dwFvE9qLDCXcgtnCQ6+V/G2q0aiIADBnTmjvMXky\nvP46nHYajBoF7ZsbL1lEympo8xMJf/ghFAIfAZcBqwOHFbG9ocBtwCXA84RbLJcBp0SvLyRcPbmN\nMB7HXYT2I9s2V2yIiOTaeGM444zQlXb0aDj5ZNhlF3jnnbQjE6kuBfVSMTMj9ER5DsDd3wN2WZoA\n3H0BYVyNY1p4/Stgz6XZh4hIhw7h6sb228P++8Nmm8FNN8GOO6YdmUh1KPQKhxHaTqxdglhEREpu\nxx1h9uwwqNjOO8Mpp8C336YdlUj2FVRweOiZ8hKgnu6ymOZaQ0tpKefFWXNNeOCBcKvlzDNDEfLm\nm217r3KePOU8G4ppwzEKONfMNok7GKls/fr1SzuEqqOcF69dOzjxRPj73+GVV6BnT7j33tbfp5wn\nTznPhmJ6qXxEGO2zA/A1YfCv77j7KrFFVyT1UhGRQsyfD4ccEkYwPe44OOss6Ngx7ahE0lE2Q5sD\nR8e1cxGRcrDaanD33WHgsOOPh8cfhylTYN11045MJDsKLjjc/bpSBCIikiYzOOYY2HbbMCFcr14w\ncSLssUfakYlkQzFtOESalT+srpSech6/3r3hqadCQ9I994ShQ6Gh4fvXlfPkKefZoIJDYjNu3Li0\nQ6g6ynlpdO4Mt94Kl1wSrnJsskno1QLKeRqU82xQwSGxmTJlStohVB3lvHTMYMgQePZZWG+9MDrp\nAQfAxRcr50nTeZ4NKjgkNp06dUo7hKqjnJfeT38KDz4I110H998PW2zRiWuvhQI7+MlS0HmeDQUV\nHGbWwcy+1RgcIlJNzOCgg+CFF+A3v4FBg2CnneCll9KOTKRyFDrS6LfAPEDzLIpI1Vl9dbj++tCe\n49VXw/DoZ50F33yTdmQi5a+YWypnAmeZWeoDfEl5GTFiRNohVB3lPHkjRoygXz947jkYNizMxbL5\n5vDPf6YdWXbpPM+GYgqOocB2wFtm9l8zm5X7iDk+qSDdunVLO4Sqo5wnrzHnnTpBbS385z+w3HLw\ni1/An/8Mn32WcoAZpPM8G4oZ2nzMkl5391OXKqIYaGhzEUnSwoUwYQKMHg3dusFdd4XGpiKVqGyG\nNi+HgkJEpJy0bx9ur+yyC9TUhMHDbr01DB4mIkFR3WLNrLOZ/cHMzm5sy2Fmm5vZj+MNT0Skcvzs\nZ6EtR+/e0L8/jB+v7rMijQouOMysB/AicDxwHNA5emkP4Oz4QpNKU19fn3YIVUc5T15rOV95Zbjn\nnnDF46ij4LDD4OuvEwouo3SeZ0MxVzguAK519/WBL3OW30toTCpVauTIkWmHUHWU8+S1JecdOsD5\n58OkSaEb7Y47wnvvJRBcRuk8z4ZiCo4tgSuaWf4m0GXpwpFKNmHChLRDqDrKefIKyfmgQfC3v4UB\nwrbcEp5+uoSBZZjO82wopuD4ClixmeUbAO8vXThSydR1LXnKefIKzfkvfgFPPgmrrQbbbAO3316i\nwDJM53k2FFNw3AWcYmYdo+duZt2AWkA/SiIiedZeGx5/HHbdFfbaC049FRYtSjsqkWQVU3AcC6wA\nvAf8AHgUeBn4DBgdX2giItnRqRNMmQJnnAFjx4ZeLP/9b9pRiSSn4ILD3T9x952BXYGjgAnAAHff\n3t0XxB2gVI7a2tq0Q6g6ynnylibnZmFwsPvug7lzw1wsxx8Pn38eY4AZpPM8G9pUcJjZh2a2WvT/\nSWb2Q3d/wt0vdfdx7v5QacOUStDQ0JB2CFVHOU9eHDnfZReYMwdOPhkuvjiM3zFlisbsaInO82xo\n09DmZvY50MPd55rZQqCLu5dtA1ENbS4ileK11+CYY+COO2CHHcJgYZtsknZUUs3SHtr8/4BpZjYT\nMOBiM/uiuRXdfXBcwYmIZN2668LUqWHK+6OOgs02C5PAjR0LK62UdnQi8WlrG44DCAN7rQA4sBKw\ncgsPEREpUP/+8OyzcOaZcNVVsMEG8PDDaUclEp82XeFw93eBUQBm9ipwoLt/UMrApPLMnz+f1VZb\nLe0wqopynrxS5nyZZUIj0v33h4MPhr33htmzoWvXkuyuYug8z4Zieqn8JL/YMLPOLa0v1WPwYN1N\nS5pynrwkct61K9xyS+hKu//+sHBhyXdZ1nSeZ0Mxk7cdb2YDc57fAnxoZm+aWc9Yo5OKMnbs2LRD\nqDrKefKSyvmqq8LkyTBjRhi7o5rpPM+GYgb+Ohx4A8DMdgZ2BnYB7gPOjS80qTTqEZQ85Tx5Sea8\nb1845RQ47TR47LHEdlt2dJ5nQzEFx1pEBQdh8K9b3H06MI4wsZuIiMTkpJNg223DrZUP1HJOKlgx\nBcdHwNrR/3cBGgf9MqB9HEGJiEjQvj3cdBM0NMDgwRocTCpXMQXHVGCymT0IrEq4lQKwGWFOFalS\nEydOTDuEqqOcJy+NnHftCtdcA3fdBZdckvjuU6fzPBuKKTiGE+ZPeR7Y2d0bZwFYC7g0rsCk8sya\nFduAdNJGynny0sp5TU0YEOzYY+Hpp1MJITU6z7OhTUObVxoNbS4iWfTll9CnD3zxBcycCcsvn3ZE\nkkVpD23ehJltAOwArEHeVRJ3P23pwxIRkXzLLRcmedtii3C1Y9KktCMSabuCCw4z+yNwGTAfeIcw\n1HkjB1RwiIiUyM9+BhMmwKBBsPPOsO++aUck0jbFXOE4CRjt7rVxByMiIq07+OAw2duRR4YZZtda\nK+2IRFpXTKPRlYFb4w5EKl9NTU3aIVQd5Tx55ZBzs3CVo2NHGDIk+11lyyHnsvSKKThuBfrFFYCZ\ntTOz081srpk1mNnLZnZSzusdzKzWzJ4xs8+jIdSvMzPV9GVm6NChaYdQdZTz5JVLzlddFS69FKZN\ng5tvTjua0iqXnMvSKbiXipmdABwD/BV4Fvgm93V3v7jA7Z0IHA0cROhq+3PgWuBEd59gZisSipwr\ngWcIV1guBtq5e+8WtqleKiJSFfbeGx55BJ5/HtZYI+1oJAvKqZfKYcDnwPbRI5cTioFC9AHudPf7\no+fzzGw/oDeAu38K9M99g5kNBf5lZl3d/X8F7k9EJDMmTICNN4ahQ8MMsyLlqtjp6Vt6rFdEDP8A\ndjSz9QGiGWe3Ae5dwns6E4qbj4vYn4hIZqyxBowfD7feCrffnnY0Ii0rpg1H3M4BbgbqzexrYCbw\nF3ef0tzKZrZs9J7JOaOcShmYNm1a2iFUHeU8eeWY84ED4be/DQ1IszjBWznmXApXVMFhZl3NbIiZ\nnWNmF+Q+itjcQGA/YB+gF3AwMMLMDmxmvx0I7TkcGFJM7FI6dXV1aYdQdZTz5JVjzs3gssvgm29g\n2LC0o4lfOeZciuDuBT2AHYEFfN9g9CnCDLIfA48Usb15wJ/ylo0Gns9b1gG4I9rfyq1sc3PA11xz\nTd9tt92aPLbeemu/4447PNcDDzzgu+22m+cbMmSIX3311U2WzZw503fbbTd///33myw/5ZRT/Jxz\nzmmy7PXXX/fddtvNX3jhhSbLL774Yj/uuOOaLFuwYIHvtttu/vjjjzdZPnnyZD/kkEMWi23vvffW\nceg4dBw6jibHMXjw1Q7ud91V2ceRlc+jEo5j8uTJ3/1tbPybud122znhi/3mXuDf9CU9iuml8m/g\nPncfY2afAT2B94CbgPvd/bICtzefMJDYFTnLTgAOdvcNo+eNVzbWA37p7h+2sk31UhGRquMOu+4K\nTz0Fc+bAyiunHZFUolL1Uinmlkp34Pro/98CP/DQluIU4Pgitnc3MNrMBpjZOma2O2FG2qkAZtYe\nuJ1w1eIAoKOZrRk9OhaxPxGRTDKDK66ABQvCrLIi5aSYgmMBsGz0/7eB/5fz2mpFbG8ocBtwCWEc\njnGEuVpOiV7vCuwa/fs08Fa037cIXWpFRCTStSuccw5cey3U16cdjcj3iik4/knotgqh6+r5ZjYa\nmBS9VhB3X+Dux3joVru8u6/v7mPc/dvo9dfdvX3eo13072NFxC8lMmjQoLRDqDrKefIqIeeDB4f5\nVc49N+1I4lEJOZfWFVNwHAP8K/r/GOBhQk+T14BD4wlLKlG/frGNeC9tpJwnrxJyvuyycPTRcMMN\n8OabaUez9Coh59K6ghqNRu0ptgGecfeyHXRLjUZFpNp9+il06wZ/+AOcd17a0UglKYtGo+6+EJhO\nmM9ERETK1IorhoHArrgCPvoo7WhEirul8hyhe6qIiJSxYcPCYGCXFTRYgUhpFFNwnAScZ2a7mtla\nZrZi7iPuAKVyzJgxI+0Qqo5ynrxKyvmaa8Ihh8BFF8EXX6QdTfEqKefSsmIKjnsJg33dBfyPMMpo\n40ijunBXxcaNG5d2CFVHOU9epeX8uONg/vzQTbZSVVrOpXnFjDSaPyV9E+7+6FJFFAM1Gk1HQ0MD\nnTp1SjuMqqKcJ68Scz5wIPznP/Df/0KHDmlHU7hKzHklK1Wj0WJOvVeBNzyvUjEzA9aOJSqpSPqF\nkDzlPHmVmPPjj4cttgjT1w8cmHY0havEnMviirml8iqwejPLV4leExGRMrL55rDTTlBbG+ZbEUlD\nMQWHEWaRy7cC8OXShSMiIqUwalSY1O3BB9OORKpVmwsOM7vAzC4gFBunNz6PHhcBNxPmOpEqNWLE\niLRDqDrKefIqNee/+lW4rVJbm3YkhavUnEtThbTh6BX9a8CmwNc5r30NzAY0nl0V69atW9ohVB3l\nPHmVmnOz0JZj771DA9Kf/zztiNquUnMuTRXTS+UaYJi7f1qakJaeeqmIiCxu4ULYaCNYdVV49FHo\n2DHtiKQclcXQ5gDuPqiciw0REWle+/Zw3XXw5JPhaodIkoppNCoiIhVq663h/PPhwgtDN1mRpKjg\nkNjU19enHULVUc6Tl4Wc//nP8Pvfw6BB8NJLaUfTuizkXFRwSIxGjhyZdghVRzlPXhZybgZXXw1r\nrQV77QUNDWlHtGRZyLkUUXCY2fKlCEQq34QJE9IOoeoo58nLSs5XXBFuuy1c4Rg6NO1oliwrOa92\nxVzheNfMJpnZtrFHIxVNXdeSp5wnL0s533RTuPxyuOYamDQp7WhalqWcV7NiCo4DCcOYP2JmL5rZ\nKDP7UcxxiYhIAg46CP74RzjySJg9O+1oJMuK6RZ7h7v/DvgxcDmwL/C6md1jZnuYWQXORSgiUr0u\nvhi6d4f99oNvv007GsmqohuNuvv77n6Bu/cEjgF2Am4D3jKz08xM0/tVmdpKHDO5winnyctizpdb\nDiZOhBdeCP+WmyzmvBoVXXCYWRczG2lmLwDnEIqNHYFjgT2AafGEKJWiodybumeQcp68rOa8Vy84\n4AA45RT47LO0o2kqqzmvNsUMbb4HMAjoDzwPXA3c6O4f56yzMfCUuy8TY6yFxKihzUVECjRvHmyw\nAYwcCaedlnY0kpayGdocuAZ4C9jG3Tdz9wm5xUZkLnDmUkcnIiKJ6dYNhg8PI5G+9Vba0UjWFFNw\nrOXuh7v7ky2t4O5fuPupSxGXiIikYNQo6NQp3FoRiVMxBUcHM1uxmccPzSyVWyhSHubPn592CFVH\nOU9e1nO+0kqh2LjmGnj22bSjCbKe82pRTMHxMfBRM4+PgS/M7HUzO9XMNGx6lRk8eHDaIVQd5Tx5\n1ZDzww+H9dYLbTnKQTXkvBoUUxQcQmjDcRbwO2D36P9vAkcAVwJHAaPiCVEqxdixY9MOoeoo58mr\nhpwvswzU1sL998NDD6UdTXXkvBoU00vlYeAKd78lb/newOHuvqOZHQiMdvcN4wu1oBjVS0VEZCm4\nQ9++sGABzJwJ7XTNumqUUy+VPsBTzSx/KnoNYAagwe9FRCqUGZx7Ljz9NFx/fdrRSBYUU3D8Dzi0\nmeWHAm9E/1+V0K5DREQqVJ8+YbjzY4+Fd95JOxqpdMUUHMcBw81stpldbWZXmdnTwNGEUUYBtgRu\njitIqQwTy3FM5IxTzpNXbTm/+GLo2BEOOyzcZklDteU8q4qZvO0uYAPgXsKssasB9wEbuvs90TqX\nufsxcQYq5W/WrNhu9UkbKefJq7acr7oqXHEF3H033HBDOjFUW86zqqBGo9FMsCcCk9z9fyWLaimp\n0aiISLwOPDAUHXPmwI9/nHY0Ukpl0WjU3b8FRgKagl5EpIpcfHEYgfSPf0zv1opUtmLacDwMbB93\nICIiUr5WXhmuugruuw8mTUo7GqlExVypuA84x8w2BWYCC3JfjNp4iIhIxvzmNzBoUJjgbeedw2Rv\nIm1VzBWOS4E1gWOAm4BpOY874gtNKk1NTU3aIVQd5Tx51Z7zCy4I860ceigsWpTMPqs951lRTC+V\ndkt4tC9FkFIZhg4dmnYIVUc5T16157xzZ5g4MQx5fumlyeyz2nOeFQUPbd7kzWbLufuXMcYTC/VS\nEREprSOPDDPKPvUU/OxnaUcjcSqLXioAZtbezE42szeBz81svWj56WbW3AikrW2vXfTeuWbWYGYv\nm9lJeevsbmb3m9n7ZrbIzHoUuh8REYnPuHGw9tqhu+w336QdjVSCYtpwjCbMGDsS+Dpn+XPAH4rY\n3ijgcGAIsGG03ZFmlnsNbXnC/CzHA+qQJSKSsuWXDwOBzZoFZ52VdjRSCYopOA4CDnP3m4CFOctn\nEwqGQvUB7nT3+919nrtPBaYDvRtXcPcb3f0MQpdcK2IfkoBp06alHULVUc6Tp5x/r3dvGD0aTj8d\nnnyydPtRzrOhmILjx8DLLWyrYxHb+wewo5mtD2BmPYFtCEOnSwWpq6tLO4Sqo5wnTzlv6qSToFev\ncGuloaE0+1DOs6GYguN5oG8zy/ei+WnrW3MOYaK3ejP7mjC2x1/cfUoR25IU3Xyz5utLmnKePOW8\nqY4dw62V11+HUaNKsw/lPBuKKThOAyaY2fHR+/cws6sIbTtOK2J7A4H9gH2AXsDBwAgzO7CIbTUx\nYMAAampqmjz69Omz2OW56dOnN9vP+8gjj1xslsJZs2ZRU1PD/PnzmywfM2YMtbW1TZbNmzePmpoa\n6uvrmywfP348I0aMaLKsoaGBmpoaZsyY0WR5XV0dgwYNWiy2gQMH6jh0HDoOHUdZHMeGG4ZGpOPH\n17HzzpV7HI0q/fMo5Djq6uq++9vYpUsXampqGD58+GLviUNR3WLNbFtgDNATWAGYBZzm7tOL2NY8\n4Cx3vzxn2Whgf3ffKG/ddYBXgc3c/ZklbFPdYkVEEuQONTXwf/8HTz8NXbumHZEUq2y6xQK4+wx3\n39nd13D3Tu6+bTHFRqQTi/c8WbSE2NRLRUSkzJjBtdfCD34A++0H336bdkRSbooqOADMbBkz62pm\n3XIfRWzqbmC0mQ0ws3XMbHdgODA1Z18rR41JNyb0UtnQzHqa2ZrFxi/xa+7SnZSWcp485bxlq64K\nkyfDE0/AacXcYG+Bcp4NxQz8tb6ZPQ58AbxOuMXxKvBa9G+hhgK3AZcQGqSOAy4DTslZp4bQIPVu\nwhWOOsJtnMOL2J+USL9+/dIOoeoo58lTzpesb99QbJxxBjz8cDzbVM6zoeA2HGb2BPAtoXfJ2+Td\n4nD32bFFVyS14RARSc/ChdC/P8yZE9pzrKlr0RWlVG04ipmefrMoiPpW1xQRkarTvj3ceCP07Bmm\ns//rX0MbD6luxY7DsVrcgYiISHZ06QKTJsF994XiQ6SYguN4YJyZ7WBmq5rZirmPuAOUypHfB1xK\nTzlPnnLedr/5TeixcvTR8O67xW9HOc+GYgqOh4CtCfOavAd8FD0+jv6VKjVu3Li0Q6g6ynnylPPC\n/OUv0K4dHHVU8dtQzrOhmEaj2y/pdXd/dKkiioEajaajoaGBTp06pR1GVVHOk6ecF66uLlzpuOMO\n+N3vCn+/cp6ssmk0Wg4FhZQn/UJInnKePOW8cPvsE8bnGDIEdtgBOncu7P3KeTYUNfCXmfU1sxvN\n7B9m9uNo2YHRkOciIiLfMYPLLoPPP4e8aUCkihQz8NeewAOEgb82B5aNXloJODG+0EREJCu6dg0T\nvF19NTz0UNrRSBqKucJxEvAnd/8j8E3O8icIBYhUqfwZDKX0lPPkKefFO+ww+OUv4dBD4dNP2/4+\n5Twbiik4fgY81szyT4AC78xJlnTrVsxUOrI0lPPkKefFa9cOJk6EDz4o7NaKcp4NxfRSmQsc5u4P\nmdlnQE93n2tmBwGj8qeUT4N6qYiIlK/LLgsNSKdPh513TjsayVdO09NfBVxkZlsR5lH5kZntD5wH\nXBpXYCIikk2HHw6/+lXht1akshVTcJwDTCYM/LUC4fbK1cAV7j4hxthERCSDGm+tfPQRHHts2tFI\nUgouODw4E1gF2IQw6ujq7n5y3MFJZamv13x+SVPOk6ecx2PddeG880KvlfvuW/K6ynk2FDUOB4C7\nf+3uz7v7v9398ziDkso0cuTItEOoOsp58pTz+Bx2GOyyCxx0ELzxRsvrKefZUHTBIZJvwgTdUUua\ncp485Tw+ZnDDDfCDH8Dee8PXXze/nnKeDSo4JDbqupY85Tx5ynm8VlsNbrsNZs6E445rfh3lPBtU\ncIiISKp694YLL4Tx42HKlLSjkVJRwSEiIqkbMiTMKPuHP8Dzz6cdjZSCCg6JTW1tbdohVB3lPHnK\neWmYwZVXwk9+AgMGwJtvfv+acp4NKjgkNg0NDWmHUHWU8+Qp56Wz/PJw772waBH07w8ffhiWK+fZ\nUPDQ5pVAQ5uLiFSu+nrYdlvYYAN48MFQiEhyymlocxERkZLZcMNwpeOZZ+D3v4dvvmn9PVL+VHCI\niEjZ6d0bpk2Dhx6CUaPSjkbioIJDYjN//vy0Q6g6ynnylPPk7LQT1NbCBRfMZ/r0tKORpaWCQ2Iz\nePDgtEOoOsp58pTzZA0bBquvPpiDDoL33ks7GlkaKjgkNmPHjk07hKqjnCdPOU9Wu3Zw441jWbQI\nBg+GDPZzqBoqOCQ26hGUPOU8ecp58vr125xJk+Cvf4VLLkk7GimWCg4RESl7u+4KQ4eG+VZmxdZR\nU5KkgkNERCrCuefCxhuHrrIff5x2NFIoFRwSm4kTJ6YdQtVRzpOnnCevMefLLQe33goffACDBqk9\nR6VRwSGxmaXrnIlTzpOnnCcvN+frrQfXXx/G6LjgghSDkoJpaHMREak4xx8P558Pjz0Gv/hF2tFk\ni4Y2FxERiZx5ZhiN9NBD4auv0o5G2kIFh4iIVJwOHeCKK+Dll+G889KORtpCBYeIiFSkTTeFY46B\nM86AV15JOxppjQoOiU1NTU3aIVQd5Tx5ynnylpTzU06BNdcMY3RksElipqjgkNgMHTo07RCqjnKe\nPOU8eUvK+fLLw4QJcP/9ocuslC/1UhERkYq3xx7w5JOhTceyy6YdTWVTLxUREZEWnHkmvPkm3Hhj\n2pFIS1IvOMysnZmdbmZzzazBzF42s5OaWe80M3srWudBM/tpGvGKiEj56d4dfvc7qK2FhQvTjkaa\nk3rBAYwCDgeGABsCI4GRZvbdTTszOx4YGq3XG1gAPGBmyyQfrrRk2rRpaYdQdZTz5CnnyWtrzk84\nAV56CW6/vcQBSVHKoeDoA9zp7ve7+zx3nwpMJxQWjYYBp7v73e7+HHAQ8CPgd8mHKy2pq6tLO4Sq\no5wnTzlPXltzvuWWsNNOcNZZ6rFSjsqh4PgHsKOZrQ9gZj2BbYB7o+c/AboADze+wd0/Bf5FKFak\nTNx8881ph1B1lPPkKefJKyTnJ54Is2eHXitSXsqh4DgHuBmoN7OvgZnAX9x9SvR6F8CBd/Pe9270\nmoiICAA77ABbbx2uckh5KYeCYyCwH7AP0As4GBhhZge28j4jFCIiIiIAmMHo0TBjBjzwQNrRSK5y\nKDjGAWe7+63uPsfdbwIuBE6IXn+HUFysmfe+NVj8qkcTAwYMoKampsmjT58+izVAmj59erMj2R15\n5KTu9mQAABHvSURBVJFMnDixybJZs2ZRU1PD/PnzmywfM2YMtbW1TZbNmzePmpoa6uvrmywfP348\nI0aMaLKsoaGBmpoaZsyY0WR5XV0dgwYNWiy2gQMH6jh0HDoOHYeOo5njuPLKGnr1qmfEiO97rFTi\ncSTxedTV1X33t7FLly7U1NQwfPjwxd4TC3dP9QHMBw7PW3YCUJ/z/C1geM7zFYEvgN+3sM3NAZ85\nc6ZLcg455JC0Q6g6ynnylPPkFZPzf/7THdwnTSpBQBk3c+ZMJ9xB2Nxj/HtfDlc47gZGm9kAM1vH\nzHYHhgNTc9b5C3CSme1mZpsC1wP/A+5MPlxpSb9+/dIOoeoo58lTzpNXTM632gr23htOOgkaGkoQ\nlBQs9aHNzWx54HRgd8JtkreAyYRusN/mrDcWOAzoDDwOHOnuL7ewTQ1tLiJS5ebOhQ03hDFjQrsO\naZvMDm3u7gvc/Rh3/4m7L+/u67v7mNxiI1pvrLv/yN07uXv/looNERERgPXWgyOPhHPOgXfeSTsa\nSb3gEBERKZWTT4blloNhw9KORFRwSGzyW0hL6SnnyVPOk7c0OV9lFbjoIrjlFrj77hiDkoKp4JDY\njBs3Lu0Qqo5ynjzlPHlLm/N994VddoEhQ+DTT2MKSgqmgkNiM2XKlNZXklgp58lTzpO3tDk3g8sv\nh48+ChO8aTbZdKjgkNh06tQp7RCqjnKePOU8eXHkfJ114Iwz4NJLoUMHWGkl2GIL+Pe/YwhQ2qRD\n2gGIiIgkYdgw6N4d/ve/cLXjlltgm21CL5bhw6GdvoKXlAoOERGpCmbQv//3z486KgwMdtxxUFcH\ne+4JNTWw8cbpxZhlquckNvnj+0vpKefJU86TV6qcL7MMjBsHDz0UbrmceSZssgnstRd88EFJdlnV\nVHBIbLp165Z2CFVHOU+ecp68Uud8xx3h9tth/ny44Qb4299g003hwQdLutuqk/rQ5qWgoc1FRKRY\nb70F++8Ps2bBhx9C+/ZpR5SszA5tLiIiUk5+9KMwQumnn8LLmkQjNio4RERE8vTsGf59+ul048gS\nFRwSm/r6+rRDqDrKefKU8+SlkfNVV4WuXVVwxEkFh8Rm5MiRaYdQdZTz5CnnyUsr55ttpoIjTio4\nJDYTJkxIO4Sqo5wnTzlPXlo579kTZs9OZdeZpIJDYqPugslTzpOnnCcvrZxvthm8/Ta8+24qu88c\nFRwiIiLN2Gyz8K+ucsRDBYeIiEgz1lsPVlhB7TjiooJDYlNbW5t2CFVHOU+ecp68tHLerh306KEr\nHHFRwSGxaWhoSDuEqqOcJ085T16aOVdPlfhoaHMREZEWXHklHHEEfP45/OAHaUeTDA1tLiIikrDN\nNoNFi2DOnLQjqXwd0g5ARESkXPXsCc88AxtumHYklU9XOCQ28+fPTzuEqqOcJ085T16aOV922TBV\nfceOqYWQGSo4JDaDBw9OO4Sqo5wnTzlPnnKeDSo4JDZjx45NO4Sqo5wnTzlPnnKeDSo4JDbqEZQ8\n5Tx5ynnylPNsUMEhIiIiJaeCQ0REREpOBYfEZuLEiWmHUHWU8+Qp58lTzrNBBYfEZtas2AakkzZS\nzpOnnCdPOc8GDW0uIiIi39HQ5iIiIlKxVHCIiIhIyangEBERkZJTwSGxqampSTuEqqOcJ085T55y\nng0qOCQ2Q4cOTTuEqqOcJ085T55yng3qpSIiIiLfUS8VERERqVgqOERERKTkVHBIbKZNm5Z2CFVH\nOU+ecp485TwbUi84zOxVM1vUzGN89Pp6ZjbVzN4zs0/MbIqZrZF23LK42tratEOoOsp58pTz5Cnn\n2ZB6wQH8HOiS89gZcOAWM+sETAcWATsAvwCWBe5OJVJZotVXXz3tEKqOcp485Tx5ynk2dEg7AHf/\nIPe5me0GvOLuj5tZP2AdoKe7L4hePxj4yMx+5e6PJB+xiIiIFKocrnB8x8w6AvsD/7+9+w+yq6zv\nOP7+CGhEBomKJA5WIwgRVmAFxBRIiCGN6BTRYi1tCTs62g52Iuq0pQyNmbHDj4hEwFEMlBAtDUOV\nKmpNGGTRcd1lFQIyJSYIAZRkAdnUBBIkyX77x3PucvZ67+69N/fu/bGf18yZvec5z3nO8zz3zLnf\nPb+ewljErySd7Xgpl+0PpDMep01u7czMzKxWLRVwAB8CXguszuYHgBeA5ZJeLek1wFWkes9sThXN\nzMysWk2/pFLkY8API2IIICJ+J+kjwNeAJcBeYA2wPvtczjSAhQsX0tXVNWbB8PAwPT09zJ8/fzSt\nv7+f2267jRUrVozJe8UVVzB79mzOOeec0bQNGzawcuVKli5dyvTp00fTr7/+eqZNm0ZPT89o2tat\nW1m+fDlLlixh1qxZo+m33norQ0NDXHTRRaNpu3bt4pJLLmHx4sV0d3ePpq9du5aBgQGWLVs2pm4X\nX3wxixYtaql2DA4O0tfX1/btgPb5PgYHB7n//vvbvh3t9H309vaO9nk7t6Odvo++vj7mzZvX9u1o\nxe9j7dq1rFu3juHhYbZs2UJXVxc7duwoZJ1GHbXMm0Yl/QnwGHBORHy/xPLXAXsiYrukrcBVEfGl\nMmX9KdDX0AqbmZl1tlMj4mf1KqyVznB8DHga+J9SCyNiGEDSe4FDgTvGKesB4MR6V9DMzGwK+VU9\nC2uJgEOSgB7g5ogYKVrWA2wAniU9Fvtl4OqIeKRceRGxE6jb+9/NzMxs37REwAGcCbwZWFVi2dHA\n5cB04HHgCxFxzeRVzczMzPZVy9zDYWZmZp2r1R6LNTMzsw7kgMPMzMwarmMCDknTJd2SDfC2TdKN\n2YvCxlvnnqIB4/ZK+upk1bndSPpUNtjeLkkDkk6eIP9HJG3I8j8o6azJqmunqKbPJV2Q248L+/TO\nyaxvu5N0uqQ7JD2V9d/ZFaxzhqT7JL0oaVM2/IJVqNo+lzSvxGCfez2oZ2Uk/YukQUnbJT0t6b8l\nHVXBevt8PO+YgAP4T+AdwALgA8Bc4OsTrBPASuAw0sBxM4F/amAd25akjwJfAj4PdAMPAuskvaFM\n/jmk7+QG4ATgO8B3JB0zOTVuf9X2eeb3jB0M8S2NrmeHeQ3psfpPkY4P45L0VuD7wI+A44FrgBsl\nLWxcFTtOVX2eCeDtvLyfz4yIZxpTvY5zOnAdcArpgY0DgDslvbrcCvU6nnfETaOSZgMPAydGxPos\nbRHwA+DwwptLS6zXC6yPiM9OWmXblKQB4N6I+HQ2L+A3wLURsbxE/luBAyPi7FxaP6m/L5ykare1\nGvr8AmBFRLxucmvamSSNkF5EWPadP5KuBM6KiONyaWuA10bE+yehmh2lwj6fB9wNTI+I7ZNWuQ6V\n/QPzDDA3In5aJk9djuedcoZjDrCtEGxk7iJFwadMsO7fSHpW0kOSLhsvypuqskH1TiT9FwdApEj1\nLlLflzInW563bpz8llNjnwMcJOlxSU9K8hmlxnsP3s+bQcADkrZIujN7u7TV5hDSb+XwOHnqcjxv\nlfdw7KsZpAhtVETslTScLSvnFuAJYAtwHLAcOAo4t0H1bFdvAPYjvQk272nSe1JKmVEm/3jfh72s\nlj7fSHpj7y9JgyD+I/AzScdGxFONqugUV24/P1jSqyLiD02oU6fbCvwd8AvgVcAngHskvTsiHmhq\nzdpMdtb0y8BPI+LhcbLW5Xje0gGHpMuBfx4nS5Du2yhbBONcE4yIG3Oz/ytpCLhL0qyI2FxVZaem\ncfu3Dvntj5Xtw4gYII2wnDKmU54bgE+S7gOxyaHsr/f1BoiITcCmXNKApCOAzwC+Ybc6XwWOAU6t\nYd2qj+ctHXCQhqIv9fbRvMeAIWDMHcqS9iO9nbQ4KhvPvaROPBJwwPGy35FG5z2sKP2NlO/foSrz\n21i19PkYEbFH0nrS/myNUW4/3x4RLzWhPlPVILX9aE5Zkr4CvB84PSK2TpC9Lsfzlr6HIyKei4hN\nE0x7gH7gEEndudUXkIKHe6vYZDcpYpuo86eUiNgN3EfqU2D0VNwCoNxIgv35/JmFWbpNoMY+H0PS\nK4AuvD83Uqn9/M/wfj7ZTsD7ecWyYOODwPyIeLKCVepzPI+IjphIo8z+AjiZFOluBL6ZW/4m0unl\nk7L5twGXAu8iPTp4NvBr4O5mt6UVJ+AvgV3AYmA26ZHj54BDs+XfAC7L5Z8DvAR8lnTPwTLgReCY\nZrelXaYa+vxfs4PALFLwvAZ4AZjd7La0y0R6RPN40g/YCHBRNv/mbPnlwOpc/rcCzwNXZvv5hdl+\nf2az29IuUw19/unseH0EcCzpHoTdwBnNbks7TKTLKNtIj8celpum5fKsbsTxvOmNr2MnHgL8B+k9\nBNtIzwsfmFv+FtIp6rnZ/OHAPaRRaHeSApTLgYOa3ZZWnbKD6ePZj2A/WfCWLbsbuKko/1+Qhjfe\nRbqRcVGz29BuUzV9DlxNuhS4i3Qj9PeA45rdhnaagHnZj97eoummbPkqiv4pyda5L+v3R4Dzm92O\ndpqq7XPSzdCPkILpZ0lPcs1tdjvaZSrT13uBxbk8DTmed8R7OMzMzKy1tfQ9HGZmZtYZHHCYmZlZ\nwzngMDMzs4ZzwGFmZmYN54DDzMzMGs4Bh5mZmTWcAw4zMzNrOAccZmZm1nAOOMymGEnzJO2VdPA4\neS6QtG0y61WrrD0j47WnztvrlXT1ZGzLrJM44DBrE5JWSVpah6L6gJkRsX2CfKOvIc4CkN46bLtR\n/MpksxbngMNsCpG0f0TsiYhnalh9Sv2oSzqg2XUw6yQOOMzalKQZkn4gaaekRyWdJ2mzpCW5PCOS\n/l7SdyXtAC4pdQlCUo+kJyQ9L+nbwOurrEuhzPdK+rmkFyT1SToql2eVpNuL1luRP3OSXa64Nksf\nljQk6eOSDpR0k6Ttkh6R9L4S1ThN0oOSdknql3Rs0bZOk/STrL+ekHSNpANzyzdLulTSakn/Rxqd\nt5K2f0DS7yWdV2l/mU1FDjjM2kfxGYZvAjOAuaSRHD8JHFpivc8DtwPvBG4qLkvSKcCNwLWkIcJ7\ngUtrrOO/AZ8BTgT2AP9ewTrF7VpMGgX05KxO1wP/RboU1A3cCXxD0rTcOgKWZ9s+KVv/Dkn7AUg6\nAvhhVk4X8FHgVOC6om1/Dngg284XJqq4pL8GbgHOi4g1FbTVbOpq9lC5njx5qn4CjiYNM92dSzsi\nS1uSSxsBripadx5pOOqDs/lbgO8V5VkDDFdRn0KZZ+TSzsrSXpnNrwJuL1pvBWOHHu8FfpybfwWw\nA7g5l3ZY1q5357Y9ApybyzOdNHz5udn8DcDXirZ9GikoKtRvM/CtCtraC1wNXAgMA6c3e3/w5Kkd\npv33JVgxs6Y5GtgdEesLCRHxaJknS+6boKx3kM6A5PUDi2qo10O5z1uzv28EfltFGb8sfIiIEUnP\n5cuNiKclFcodTQYGcnm2SdpIahvA8cA7Jf1tbh1lf2cBG7PPE/VVwbnZ9k+NiErXMZvSHHCYtSdV\nkf5CBWXV64bQ3bnPhTILl25H+OP6lboxc3fRfJRIy5c7nkIdDiLdk3FNiTo8mfs8UV8VrAfeBXyc\nyoMUsynN93CYtadfAftL6i4kSDoSOKSGsh4G3lOUNmcf6lbOs8DMorQT6lS2yLVB0nTgKGBDlnQ/\ncGxEbI6Ix4qmPTVs71FgPvBBScX3gZhZCQ44zNpQRGwEfgTcIOnkLPD4OrCTys5W5P/LvxZ4n6TP\nSTpS0j9Q2+WUUmdX8ml3AydJOj/bzjLSDZz1sjR7SqYLuJkU4Hw3W3YlMEfSdZKOz7a/T8FCRPya\nFHR8WNKKfa28WadzwGHWvs4HhoAfA98GVgLPAy/m8pQLPkbTI+Je4BPAEtITGmdSwRMa45VZZjt3\nZuVeCQySLnOsrqaMcdICuJh0yeTnpKd1/rxw9iIiHiLdXPp24CekMx7LgKcm2E4p+TZtAhYAfyXp\nixWubzYlKWJKvcvHrGNJOpx0P8KCiGjlt4Ka2RTkgMOsTUmaTzpL8BDwJtJ7KGYAR0fE3mbWzcys\nmJ9SMWtfBwCXkR7r3EF6MdZ5DjbMrBX5DIeZmZk1nG8aNTMzs4ZzwGFmZmYN54DDzMzMGs4Bh5mZ\nmTWcAw4zMzNrOAccZmZm1nAOOMzMzKzhHHCYmZlZwzngMDMzs4b7f0hdeR0g4OwAAAAAAElFTkSu\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f798bd37e48>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.grid()\n",
"plt.title(\"powerspectrum at most turbulent region\")\n",
"plt.xlabel(\"'grid' number k\")\n",
"plt.ylabel(\"energy transfer rate\")\n",
"plt.plot(np.log10(radii), np.log10(powerspectrum))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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