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@certik
Created May 9, 2013 18:52
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{
"metadata": {
"name": "Plot"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": "from pylab import plot, semilogy\nfrom numpy import loadtxt, pi\nD = loadtxt(\"conv.txt\")\nN = D[:, 0]\nE = D[:, 1]\nE_exact = 3*pi/8",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": "figure(figsize=(8, 6), dpi=80)\nsemilogy(N, abs(E-E_exact), \"k-\")\ngrid()\ntitle(\"Convergence of an FFT Poisson solver (semilogy)\")\nxlabel(\"N (number of PW in each direction)\")\nylabel(\"E - E_exact [a.u.]\")\nsavefig(\"fft_convergence_semilogy.png\")",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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8XFwc3n33XSQkJFRQVURERBWnwg7ue/HFF7F582bExMSU+LV582a88sorZVpx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\nQRAEYRYRhV8QBEEQZpH/Ae9tNZqUwJr7AAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": "figure(figsize=(8, 6), dpi=80)\ncalculated = abs(E-E_exact)\nloglog(N, calculated, \"ko\", label=\"calculated\")\npredicted = 1/N\npredicted = predicted * (calculated[-1] / predicted[-1])\nloglog(N, predicted, \"g-\", label=\"$1/N$\")\ngrid()\ntitle(\"Convergence of an FFT Poisson solver (loglog)\")\nxlabel(\"N (number of PW in each direction)\")\nylabel(\"E - E_exact [a.u.]\")\nlegend()\nsavefig(\"fft_convergence_loglog.png\")",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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kF71eD61WW+n98LI/UQF6vR5qtdrUYZAFYZsiuVU29zH5ExERmRnW/ImIiKhc\nmPyJCmB9luTGNkVKw+RPRERkZVjzJyIiMjOs+RMREVG5MPkTFcD6LMmNbYqUhsmfiIjIyrDmT0RE\nZGZY8yciIqJyYfInKoD1WZIb2xQpDZM/ERGRlWHNn4iIyMyw5k9ERETlwuRPVADrsyQ3tilSGiZ/\nIiIiK8OaPxERkZlhzZ+IiIjKhcmfqADWZ0lubFOkNEz+REREVoY1fyIiIjPDmj8VotPpoNFooFar\nodFooNPpTB0SEREpiJ2pAyB56XQ6TJ48GQmXEgBHAA+BhIQEAEBwcLBpgzMTer0earXa1GGQBWGb\nIqXhmb+FWbJkSW6ybwpgAoBGuck/MjLS1KEREZFC8Mzfwjx69Cj3xnkAKgBhAI4CDzMemjAq88Iz\nNJIb2xQpDZO/hXF0dPznzjkA1wEMBs5WP4vbD26jbvW6pgqNiIgUQrGX/e/fv4+RI0di/PjxWL9+\nvanDMRsRERHw9fX954FUoMmBJujWshvar2iPY0nHTBecmeCYbJIb2xQpjWLP/Ldt24YhQ4YgODgY\nYWFhGDZsmKlDMgt5nfoiIyORkZGBatWqITw8HMHBwdh+bjsGbBqAqYFTMaXrFNioFPvbj4iIqpBR\nv/3HjBkDd3d3tG7d2uDx6OhotGjRAs2aNcO8efMAAMnJyfDy8gIA2NraGjNMsxccHIzo6Gjo9XpE\nR0dLPwhCmocgdmwstsRvQf+N/XH7wW0TR6pMrM+S3NimSGmMmvxHjx6N6Ohog8eys7MxadIkREdH\nIz4+Hhs2bMDZs2fRqFEjJCUlAQBycnKMGaZF83b2xsHRB/FE3SdYBiAislJGTf49evSAi4uLwWOx\nsbFo2rQpfHx8YG9vj7CwMERFRWHgwIHYunUrXnvtNYSEhBgzTIvnYOuABb0XIPK5SAzYNADzj85H\njuAPrDysz5Lc2KZIaUxe889/eR8AGjVqhJiYGFSvXh1ffvmlCSOzfCHNQ9DWvS1Ct4TiwOUDWNN/\nDUcDEBFZAZMnf5VKVel9jBo1Cj4+PgAAZ2dn+Pv7SzW2vF/cvF/0/Utxl/Bek/cQnRWN9iva462G\nb+HJ+k8qJj5T3c+jlHh4n/d537rv6/V6rFmzBgCkfFcZRl/YJzExEf369cOZM2cAAMePH4dWq5X6\nAnz00UewsbHBtGnTyrQ/Luwjn+3ntmPcjnEcDUBEpHBmv7BPQEAALly4gMTERGRmZmLTpk2s8ZsI\nRwPkyvscoUWAAAAgAElEQVS1TSQXtilSGqMm/6FDhyIwMBDnz5+Hl5cXVq9eDTs7OyxduhQajQZ+\nfn4IDQ1Fy5YtjRkW5cPRAEREls/ol/3lxsv+VYdlACIiZTL7y/5y0Gq1vKxWBVgGICJSFr1eD61W\nW+n98MyfSpWZnYm3976NLfFbsHHQRnT16mrqkKqUnmuvk8zYpkhuPPOnKsdJgYiILAvP/KlcLt+9\njNAtoXCr4cZJgYiITKSyua/E5L9169ZSD+Dk5ITnn3++wgFUFpO/8VlbGYCISGmqNPnXrVu3xDH3\nQggcOnQICQkJFQ6gspj8TSdvNMBbgW9hStcpsszWqASsz5Lc2KZIbpXNfSVO79unTx+sXr26xB0M\nHz68wgeXi1arhVqt5h+XkeVfG0B/Wc8yABFRFdPr9bKMbmPNnyqNZQAiIuOq0sv+Jbl+/To8PDwq\nfGC5MPkrh6WWAYiIlMZkQ/1eeeWVCh+ULFPepECb4zcjZGOI2U4KxAmjSG5sU6Q0FU7+Op1OzjjI\nQuStDdC8bnOuDUBEpFBluux/5cqVIh9v3Lix7AGVFy/7KxfLAEREVcMoNf9WrVpJX9wZGRm4dOkS\nmjdvjt9++63CB5aLSqXC7Nmz2dtfoTgpEBGRfPJ6+8+ZM8f4Hf5OnjyJ//73v1i1alWFDywXnvkr\nX2Z2JmbsnYHN8ZvNYjQAx2ST3NimSG4m6fDXvn17xMTEVPigZF0cbB0wv/d8aW2ABUcX8AcbEZEJ\nlenMf8GCBdLtnJwcnDx5Enfu3MEPP/xQpcGVBc/8zQvLAERElWeUM/+0tDSkp6cjPT0dmZmZ6Nu3\nL6Kioip8ULJeHA1ARGR6nOGPTEapowFYnyW5sU2R3Ew2yc/y5csrfFAiwHImBSIiMjcVTv5EclBi\nGYBnaCQ3tilSGou47M9x/pZBqWUAIiKlMPo4/507d+K3335DRkaG9KX87rvvVvjAcmHN37LkjQao\nX6M+1gxYA1cnV6PHwPosyY1tiuRmlJr/hAkT8O233yIyMhIA8O233+Ly5csVPihRcfLKAE/UfQLt\nlyujDEBEZGnKdObfunVrnDlzBm3atMHp06eRnp6OPn364PDhw8aIsUQ887dcLAMQERXNKGf+Tk5O\nAIDq1asjOTkZdnZ2uH79eoUPSlQW+UcD9N/YH3ce3jF1SEREFqFMyb9fv35ISUnB1KlT0aFDB/j4\n+GDo0KFVHRuRScoAXHud5MY2RUpT7t7+GRkZyMjIgLOzc1XFVC687G89jFUGYOcskhvbFMmtSpf0\nPXnyJNq3b1/iDsqyTVVi8rcuShgNQERkalVa8x81ahTu3LlT7L/bt2/jlVdeqfDB5aLVanlZzUpw\nNAARWTO9Xg+tVlvp/ZR45u/j41PqpVU3NzfExsZWOpCK4pm/9aqqMgAv0ZLc2KZIbpXNfXYlPZmY\nmFjhHRNVtZDmIWjr3hahW0Jx4PIBlgGIiMrIIqb3NfO3QJWUmZ2JGXtnYEv8FmwYtAFdvbqaOiQi\noipVpR3+zAGTP+XhpEBEZC1MtqQvkdLINSkQO4+S3NimSGmY/MmicDQAEVHpeNmfLBbLAERkqVjz\nZ/KnEnBSICKyREap+Y8YMaJMjxEpTUXKAKzPktzYpkhpypT8f/31V4P7WVlZOHHiRJUERCQ3B1sH\nzO89H0ueW4IBmwZgwdEFvFpERFatxOT/4YcfolatWjhz5gxq1aol/atfvz5CQkKMFWOpOL0vlUVZ\nRwNwJjaSG9sUycUo0/vmefvtt/HRRx9V+mBVgTV/Kq/8kwJtfHEjujTqYuqQiIjKxSg1/44dO+Lu\n3bvS/bt37+L777+v8EGJTCl/GaD/xv6FygC8ikRyY5sipSlT8p8zZw6cnZ2l+87OzrJcdiAyJbkm\nBSIiMjdlSv5FXVrIzs6WPRgiYys4GuD41eOsz5Ls2KZIacqU/Dt06IApU6YgISEBFy9exBtvvIEO\nHTpUdWxERlFaGYCIyNKUKflHRkbC3t4eoaGhCAsLQ7Vq1fDf//63qmMjMqq8MsCq71axDECyYs2f\nlIYz/BEV8OO+H/FD1g8cDUCy0ev1vPRPsjLK9L43b97Exx9/jPj4eDx8+FA68L59+yp8YLkw+VNV\n4doARKRURhnqN3z4cLRo0QJ//PEHtFotfHx8EBAQUOGDEpkDjgYgIktVpuR/+/ZtjB07Fg4ODggK\nCsLq1asVcdZPVBXy12eLGg1AVF6s+ZPSlCn5Ozg4AAA8PDywc+dOnDx5EikpKVUaGJFSlGc0gE6n\ng0ajgVqthkajgU6nM3K0RESlK1PNf8eOHejRoweSkpIQHh6Oe/fuQavVKmJ+f9b8yZhKWiJYp9Nh\n8uTJSEhIkB7z9fXF4sWLERwcbIpwichCGaXDnxCiUGenR48ewdHRscIHlguTPxlbcWsDaDQa7N69\nu9D2Go0G0dHRxg6TiCyYUTr8qdVqXLp0SbofGxuLjh07VvigcuOqfiSn0tpScWWAR48eFbl9RkZG\nFURJ5oTfTyQXuVb1syvLRjNmzMBzzz2H8PBwJCcnY9euXVizZk2lDy4XrjNAphDSPARt3dsidEso\nDlw+AJsaRf+WrlatmpEjIyJLpVaroVarMWfOnErtp8yT/Ozfvx+9evWCm5sbTp06BQ8Pj0odWC68\n7E+mllcGWHdiHeyj7JEckyw9x5o/EVWFyua+Mp35v/fee9i0aRMOHTqE06dPIygoCAsWLEDfvn0r\nfGAiS5FXBujp3RMjc0aiecvmcL/kDqdqTggPD2fiJyLFKfM4/59++gldu3bFhAkTsHv3bixevLiq\nYyMyiYrWZ0OahyDu9Ti4dHdBnQl1sP679Uz8BIA1f1KeMiX/Tz/9FABw7tw5AIC3tzd+/PHHqouK\nyEx5O3vjwKgDnBSIiBStTMl/+/bt8Pf3h0ajAQCcOnVKEWP8iapCZRdg4RLBVBAX9SGlKVOHv/bt\n22Pfvn146qmncOrUKQBAq1at8Ouvv1Z5gKVhhz9SspImBSIiqiijjPO3t7eHs7Oz4QttyvRSIrMj\nZ32WawMQwJo/KU+ZMviTTz6Jb775BllZWbhw4QLCw8MRGBhY1bERWQSWAYhIacp02f/+/fv44IMP\npKlLNRoNZs2apYjJS3jZn8wJywBEJAejzO1fmvDwcERGRlZ2NxXC5E/mpri1AYiIysooNf/SHD58\nWI7dEClCVddnWQawPqz5k9Kw1x6RiYQ0D0Hs2Fhsjt+M/hv7487DO6YOiYisBJM/UQHGHJPN0QDW\ngeP8SWmY/IlMjGUAIjK2Cif/x48fS7cnT54sSzBESmCq+izLAJaLNX9SmhKTf/fu3aXbI0aMMHiu\nc+fO0u1Ro0bJGxWRlWIZgIiMocTkf//+fel2wal8eVmSLJWp67MsA1geU7cpooJY8ydSKJYBiKiq\nlJj8U1NTsW3bNmzdulW6nf++Umi1WtbUSDZKakssA1gGJbUpMm96vR5arbbS+ylxhr9Ro0ZBpVIB\nyL3Mn3c7z+rVqysdQGVxhj+Sm16vV+Rl2u3ntmPcjnF4K/AtTOk6pdDfIymXUtsUmS9FTO9rSkz+\nZE24NgARAQqZ3peIjINlACKSA5M/UQFKr89yNID5UXqbIuvD5E9kpjgagIgqijV/IjPHJYKJrA9r\n/kRWrrQygE6ng0ajgVqthkajgU6nM2G0RKQEdqYOgEhpzHVYVkjzELR1b4vQLaE4cPkA1gxYg2P7\njmHy5MlISEiQtsu7HRwcbKpQrY65timyXOU+85djcgEiqhoFRwPM/XKuQeIHcpN/ZGSkiSIkIiUo\nd82/Xbt2OHXqVFXFU26s+RMVbfu57Xhx7Yt4vP8xcMzwuaCgIPZAJzJjrPkTUZFCmoegy5kuwJMA\nhgJw+ue5atWqmSosIlKAcif/n3/+uSriIFIMSzojnjZhGpocaALcBjABQCPA19cX4eHhpg7NqlhS\nmyLLUO4Of7a2tlURBxFVgbxOfZGRkbh65SouvHwB6iZqPP/886YNjIhMiuP8iawI1wYgsgys+RNR\nmRUcDXAs6VjpLyIii8PkT1SApddn808KNGDTAK4NYASW3qbI/DD5E1mp/GsDhGwMwe0Ht00dEhEZ\nCWv+RFYub22AzfGbsXHQRnT16mrqkIioFFVa8//444+l25s3bzZ4bsaMGRU+KBEpR14ZIPK5SJYB\niKxEicl/w4YN0u0PP/zQ4Lldu3ZVTUREJmat9VmWAaqOtbYpUi7W/IlIkjcaoHnd5mi/gqMBiCwV\nkz9RAda++hrLAPKz9jZFylNihz9bW1tUr14dAPDw4UM4Of0zOfjDhw+RlZVV9RGWgh3+iKpO3qRA\nbjXcsKb/GtStXtfUIRERqrjDX3Z2NtLS0pCWloasrCzpdt59IkvE+uw/WAaQB9sUKQ0v+xNRiQqW\nAeYfnY8ckQMA0Ol00Gg0UKvV0Gg00Ol0Jo6WiMqC4/yJqMzylwGGVR+GWf+ehYSEBOl5X19fLF68\nWFpQiIiqBuf2JyKjyb82wJjjY5DwKMHg+YSEBERGRpooOiIqK0Un/0uXLmHs2LEYPHiwqUMhK8L6\nbMkcbB2woPcC+J73BcIABAJQ/fN8RkaGqUJTLLYpUhpFJ/9//etf+OKLL0wdBhEVwTPdE1gJwA+5\nPwL+HgxUrVo1E0ZFRGVhlOQ/ZswYuLu7o3Xr1gaPR0dHo0WLFmjWrBnmzZtnjFCISsUx2WUTEREB\n33q+wGoAtwFMADw7eyI8PNzUoSkO2xQpjVGS/+jRoxEdHW3wWHZ2NiZNmoTo6GjEx8djw4YNOHv2\nLNatW4c33ngD165dM0ZoRFRBwcHBWLx4MTTPahD0KAjtrrfD/X73cdblrDQagIiUySjJv0ePHnBx\ncTF4LDY2Fk2bNoWPjw/s7e0RFhaGqKgojBgxAosWLULDhg1x584dTJw4EXFxcbwyQEbD+mzZBQcH\nIzo6Gnq9Hic3nETc63HYEr8F/Tf259oA+bBNkdLYmerAycnJ8PLyku43atQIMTExBtu4urpi2bJl\npe5r1KhR8PHxAQA4OzvD399fusyW90fH+7xf1vtxcXGKisec7l+Ku4T3mryH6KxotF/RHm81fAtP\n1n9SMfGZ6n4epcTD++Z3X6/XY82aNQAg5bvKMNo4/8TERPTr1w9nzpwBAGzduhXR0dFYuXIlAODr\nr79GTExMuYcJcZw/kTJtP7cd43aMw9TAqZjSdQpsVIruX0xkVsx2nL+npyeSkpKk+0lJSWjUqJGp\nwiEimeUtEcwyAJHymCz5BwQE4MKFC0hMTERmZiY2bdqEkJAQU4VDJCl4qZYqLv+kQNa8NgDbFCmN\nUZL/0KFDERgYiPPnz8PLywurV6+GnZ0dli5dCo1GAz8/P4SGhqJly5bGCIeIjChvUqCi1gYgItOw\niLn9Z8+eDbVaLXWSICJlKmqJYJ1OhyVLluDRo0dwdHREREQE1wYgKoZer4der8ecOXMqVfO3iORv\n5m+ByKpkZmfi7b1vY0v8FoQ3CMeyd5ZxcSCicqps7mPyJypAr9fzKpIRbD+3HYPXDkamPhM4BiDf\nn7FGoyk0MZg5Y5siuZltb38ism4hzUPQ7ud2hdYGALg4EFFVY/InKoBnaMZTB3UM1gbA36N9LW1x\nILYpUhqTzfBHRBQREYGEhAQk7E4ALgMIA+qeq4vXx79u6tCILJpFnPlrtVqOoyXZsC0Zj7Q4kEaD\nII8g9DzXE/V61sOKtBUWNSkQ2xTJRa/XQ6vVVno/7PBHVAA7Z5lWZnYmZuydgc3xm7Fx0EZ09epq\n6pAqjW2K5Mbe/kz+RBaJawMQFY/Jn8mfyGIVNSkQEXGoH5HsWJ9Vjry1AZrXbW7WawOwTZHSMPkT\nkaI52Dpgfu/50toAC44ugBACOp0OGo0GarUaGo0GOp3O1KESmQ1e9icis5FXBhDpAjdX3ETi2UTp\nOU4LTNaEl/3BoX5E1iKvDHAj/gYSNYnSpEAAkJCQgMjISFOFRmQUHOr3N575k9w4LEv51Go1Dlw/\nAPQDcPTvfwCCgoIUeSLANkVyq2zu4wx/RGR2HB0dgXMArgMYDMAbwPeWNy0wUVWxiMv+RHLiGZry\nRUREwNfXF0iFtDaA3et2eHb0s6YOrUhsU6Q0PPMnIrOT16kvMjISGRkZqKaqhk7+nfBJ0idQHVVh\nStcpUKlUJo6SSLlY8ycqgPVZ86XUSYHYpkhu7O1PRPS3vNEAT9R9wmBSIM4JQGTIIi77a7VaqNVq\n/rImWbAdmTcHWwcs6L0APRv3xIBNA9DPpR/2f7QffyT8IW2TkJAAAEabE4BtiuSi1+tlGdHCy/5E\nZLES7ybC/31/pF5LBb4H8PCf5zQaDaKjo00WG1Fl8LI/kcyUOE6cKsbH2QdtTrQBbgOYAINJgTIy\nMowWB9sUKQ2TPxFZNCcHJ2A3gF0AwgB0zX2ccwKQNeNlfyKyaDqdDpMnT86t8zsDeBGojur4ou8X\nGNp/qKnDI6qQyuY+Jn8isng6nU6aE8DByQE1+tfAyYyT2DhoI7p6dTV1eETlxuTP5E8y45hs67D9\n3HaM2zEObwW+VeWTArFNkdw4tz8RUQWENA9BW/e2CN0SCv1lPYZVH4Y1n63Bo0eP4OjoiIiICC4P\nTBaLZ/5EZNUyszMRujIUOxN2ImtjFnA193FfX18sXryYPwBIkTjUD7mT/HAoDRFVhIOtAx589wBZ\nO7JyRwME5j6ekJCAyMhIk8ZGVJBer4dWq630fnjmT1QA67PWR61W48CBA0Ad5C4RfB/A90BQpyBZ\nTizYpkhuPPMnIqokR0fH3Bv5lgjGBCCjnvEmAiIyJiZ/ogJ4hmZ9IiIi4Ovrm3snG8BuwOOUB861\nO4cFRxdU+uoi2xQpDS/7ExHBcC6AatWqITw8HK26tTJYIvj4/uNYsmQJRwSQyXGcP5M/yYz1Wcov\nMzsTM/bOwNoTa+EQ5YDkmGTpubKOCGCbIrmx5k9EVIUcbB0wv/d8eP7iieQeydJoAIAjAsh8MfkT\nFcAzNCpKnet1gJUA/AAMBeCU+3hZVgdkmyKlYfInIioDR0fHQqMB0IirA5J5YvInKoATRlFRpBEB\nf48GwC7AdrgtPAd7IkfklPhatilSGs7tT0RUBnmd+vKPCAjtFIrld5aj/8b+XBuAzIpF9PafPXs2\n1Go162pEZHSZ2ZkIWxmGHQk7uDYAVTm9Xg+9Xo85c+ZwqJ+ZvwUiMnMajQa7L+8G+gE4CuAYAJH7\neHR0tImjI0vEoX5EMmN9lsrr0aNHwDn8MxogDIDTPyMB2KZIaZj8iYgqiWsDkLlh8icqgH1HqLxK\nWxsgPT0dGo0GarUaGo0GOp3OpPESsbc/EVElFTUSIG9tAM0XGiSdS8KDQw+Ah7nbJyQkGLyOyNjY\n4Y+oAM7DTnLq1acX9tzeA3QHsAXSaAB2BqTKqGzu45k/EVEVepzxGPgZQBpyOwL+PRqgLNMCE1UV\nJn+iAnjWT3KSOgOeA3AdwGAA3oDNPRvodDouEUwmweRPRFSFIiIikJCQkFvn/3s0QJ2BdXAy4CQm\nvDfBYIlg9gUgY2Fvf6ICOCab5BQcHIyxY8dCo9EgKCgImmc1+GbkN/jX7//6Z4lgVe62XCKYjIVn\n/kREVaxLly6YPn26wWOffPIJEA2pDIDvATxkXwAyDvb2JyIyAY1Gg927dwO2AJ5B7syAW4D29duj\nXr167AdAJWJvfyIiM2TQF2A3gMuAzTAbXPjlAk7uPgn8/b3OfgBUFSyi5q/ValmnJdmwLZHcimpT\nwcHBWLx48T99AXw0aHm4JdK80qS1AQD2AyBDer0eWq220vvhZX+iAjjJD8mtrG1KrVbjwOEDBmUA\nXAWCgoL4o5QMVDb3MfkTESmE1A8AAJpDWiK4XUY7uNVzYz8AkrDmT0RkIQz6Afw9KZD9MHvEP4zH\no02PuDYAyYZn/kQF8LI/ya08bUqn0xksEHT9r+v4pd4vuWWArQCScrfj2gDWjWf+REQWJDg42OCM\nXq1WS6MBEAquDUCy4Jk/EZGCGfQDqIPcSYHuA23+aAOPOh7sB2CleOZPRGTBiloboHpIdfza/Vec\n3nRaWiKY/QCoPHjmT1QAa/4kt8q2qYL9AG7evIlTD04BIQCOILcUAPYDsCY88ycisnBF9gM4BWAl\ngBchrQ0QGxsLtVrNMgCVismfqACe9ZPc5G5Tjo6OuTfuAliN3EmBJgApW1Jw4MABACwDUMksYnpf\nIiJrEhERAV9f39w72cgdDbALudMC/71EMKcFppIw+RMVwGlUSW5yt6mC6wK4uLjkTgq0ErnzAfy9\nNkBeGUCj0UCn08kaA5k3XvYnIjJD+fsBSMMB/x4NwDIAlYa9/YmIzJxOp8PkyZOlBA/AYG0AHAMg\nOBrAknBhHyZ/IiKD4YCnT59GSkqKwaRA+B5wqeaCNm3acDSABWDyZ/InmXGcP8nN2G3KYFZAWxRa\nIhgAfH19sXjxYv4AMFOVzX3s8EdEZGFKHA3QKfdhjgawbjzzJyKyQMWWAeoDuJC7TVBQEEe3mCme\n+QPQarVswERE+QQHByM6Ohp6vR4dO3bMfTAVUuIHgGrVqpkkNqo4vV4PrVZb6f3wzJ+oANb8SW6m\nblNFjQZgzd+8cW5/IiIqUV6Cz784UHh4OBO/FeOZPxERkZlhzZ+IiIjKhcmfqAB2HiW5sU2R0jD5\nExERWRnW/ImIiMwMa/5ERERULkz+RAWwPktyY5sipWHyJyIisjKs+RMREZkZ1vyJiIioXJj8iQpg\nfZbkxjZFSsPkT0REZGVY8yciIjIzrPkTERFRuTD5ExXA+izJjW2KlIbJn4iIyMqw5k9ERGRmWPMn\nIiKicmHyJyqA9VmSG9sUKQ2TPxERkZVhzZ+IiMjMsOZPRERE5cLkT1QA67MkN7YpUhomfyIiIivD\nmj8REZGZqWzus5MxFtlFRUVBp9Ph3r17eOWVV9CrVy9Th0RERGT2zOLM/+7du3jzzTfxxRdfFHqO\nZ/4kN71eD7VabeowyIKwTZHczKK3/5gxY+Du7o7WrVsbPB4dHY0WLVqgWbNmmDdvXrGvf//99zFp\n0qSqDpMIABAXF2fqEMjCsE2R0hgl+Y8ePRrR0dEGj2VnZ2PSpEmIjo5GfHw8NmzYgLNnz2LdunV4\n4403cO3aNQghMG3aNDz33HPw9/c3RqhEuHv3rqlDIAvDNkVKY5Tk36NHD7i4uBg8Fhsbi6ZNm8LH\nxwf29vYICwtDVFQURowYgUWLFqFhw4aIjIzE3r17sWXLFixfvtwYoRqFsYb9yHmciu6rvK8r6/Zl\n2a6kbSxt6BXbVOW3L227yj5vbsytTVVmP9bYpkw21C85ORleXl7S/UaNGiE5Odlgm4iICPz888/4\n/PPPMWHCBGOHWGXM7Y+qMvsyx+SfmJhYphiUhG2q8ttX5Rc121TVH4fJv3yM1uEvMTER/fr1w5kz\nZwAAW7duRXR0NFauXAkA+PrrrxETE4PIyMhy7VelUskeKxERkdKZ5VA/T09PJCUlSfeTkpLQqFGj\ncu+HPf2JiIjKx2SX/QMCAnDhwgUkJiYiMzMTmzZtQkhIiKnCISIishpGSf5Dhw5FYGAgzp8/Dy8v\nL6xevRp2dnZYunQpNBoN/Pz8EBoaipYtWxojHCIiIqtmFpP8EBERkXy4sA8REZGVsbjkf//+fYwc\nORLjx4/H+vXrTR0OWYBLly5h7NixGDx4sKlDIQsRFRWF8ePHIywsDD/++KOpwyEz9/vvv+PVV1/F\nkCFDsGrVqjK9xuIu+69btw6urq4IDg5GWFgYNm7caOqQyEIMHjwYmzdvNnUYZEFKWreEqLxycnIQ\nFhaGb7/9ttRtzeLMvzxrA+SfPMjW1tbosZJ5qOx6E0QFVaRNcd0SKk5529OOHTukk94yEWbg4MGD\n4uTJk6JVq1bSY1lZWcLX11dcunRJZGZmirZt24r4+Hixbt06sXPnTiGEEGFhYaYKmRSuPG0qz4sv\nvmiKUMlMlKdN5eTkiLfeekvs2bPHhBGTklXkO0oIIUJCQsq0f5NN8lMePXr0KDQ9Zv61AQBIawNE\nRERg0qRJ0Ol0nDeAilWeNuXu7o4ZM2YgLi4O8+bNw7Rp04wfMCleedrUnj17sHfvXty7dw8XL160\nqOnLSR7laU83b97Etm3bkJGRgaeeeqpM+zeL5F+UotYGiImJQfXq1fHll1+aMDIyV8W1KVdXVyxb\ntsyEkZG5Kq5NRUZGIjw83ISRkTkqrj0FBQUhKCioXPsyi5p/UTinP8mNbYrkxjZFcpKzPZlt8pdr\nbQCiPGxTJDe2KZKTnO3JbJM/1wYgubFNkdzYpkhOcrYns0j+XBuA5MY2RXJjmyI5VXV7srhJfoiI\niKhkZnHmT0RERPJh8iciIrIyTP5ERERWhsmfiIjIyjD5ExERWRkmfyIiIivD5E9ERGRlmPzJ4tnY\n2ODNN9+U7s+fPx9z5swpctudO3dCq9VWaTx6vR79+vWr0mMAwF9//YXOnTujQ4cOOHLkiMFzarUa\nLVq0gL+/P7p3747z588jKioKL7zwgrTNRx99hGbNmkn3d+zYgf79+xc6zrhx43D27NmqeyPFUKvV\nOHHiRLleM2rUKGzduhWAfHEfOHAAx44dk+4vX74c69atq9C+Tp8+jVdeeaXSMRGVhsmfLJ6DgwO+\n++473L59G0DJi2MsWLAAr776qrFCq5CcnJwybbd37160adMGJ06cQLdu3QyeU6lUWL9+PeLi4jBy\n5EhMnToV3bp1w/Hjx6Vtjh07hjp16uCvv/4CABw9erTQfgBg5cqVJpm1riKLnKhUKul1xcVd1s83\nz/79+3H06FHp/oQJEzBixIhyxwYAbdq0QUJCAm7evFmh1xOVFZM/WTx7e3uMHz8eixYtKnG7pKQk\nZGZmwt3dHUDuWeLkyZPRrVs3+Pr6SmeMBc/cJ02ahK+++goA4OPjgxkzZqBdu3YICAjAyZMn0bt3\nbwaqH+IAAAgZSURBVDRt2hTLly+XXnPv3j307dsXLVq0wKuvvoq8iTZ3796NwMBAdOjQAUOGDMH9\n+/el/U6fPh0dOnTAli1bDOJOTEzE008/jbZt2+LZZ59FUlIS4uLiMG3aNERFRaFdu3bIyMgo9n33\n6NEDFy9eRL169VC7dm388ccfAIBr165h0KBBUmI7duxYkclfrVbj5MmTAICaNWti5syZ8Pf3R9eu\nXYtMYvfv38eYMWPQuXNntG/fHtu3b5feR8+ePdGhQwd06NDB4Gx63rx5aNOmDfz9/TFjxgzp8c2b\nN6Nz585o3rw5Dh8+XOT7mzRpElq0aIFevXoZxFMw7jfffBP+/v44duwYvv76a3Tu3Bnt2rXDxIkT\npR8E0dHR6NChA/z9/dGrVy9cvnwZy5cvx6JFi9CuXTscPnwYWq0WCxYsAADExcWhS5cuaNu2LQYO\nHIi7d+9Kx54+fXqRsT/33HPYvHlzsf9fRHJg8ier8Nprr+Gbb77BvXv3it3myJEjaN++vXRfpVLh\n+vXrOHLkCHbu3Inp06cX+br8Z5MqlQre3t44deoUevbsiVGjRuG7777D8ePHMXv2bOk1sbGxWLp0\nKeLj45GQkIBt27bh1q1b+OCDD7B3716cOHECHTp0wMKFC6X91qtXDydOnMCQIUMMjh8eHo7Ro0fj\nl19+wfDhwxEREQF/f3/MnTsXYWFhOHXqFKpVq1Yo7rwfHDt27ECbNm0AAN26dcORI0dw7tw5NGvW\nDJ07d8bRo0eRnZ2NX375BR07dizy/ed58OABunbtiri4OPTs2RMrV64stP0HH3yAZ555BjExMdi3\nbx+mTp2KBw8ewN3dHT/++CNOnDiBjRs3IiIiAgCwa9cubN++HbGxsYiLi8Nbb70l7Ss7OxsxMTH4\n9NNPiyzlbNu2DefPn8fZs2exdu1agzP0gnF36dIFcXFxcHV1xbfffoujR4/i1KlTsLGxwTfffIO/\n/voL48ePx7Zt2xAXF4fNmzfD29sbEydOxJQpU3Dq1Cl0797doD28/PLL+OSTT/DLL7+gdevWUowq\nlarY2Dt16oSDBw8Wei9EcrIzdQBExlCrVi28/PLLWLJkCZycnIrc5sqVK2jQoIHBYwMGDAAAtGzZ\nEjdu3CjTsfJW2WrdujXu37+PGjVqoEaNGnB0dJR+fHTq1Ak+Pj4AchfwOHz4MKpVq4b4+HgEBgYC\nADIzM6XbABAaGlrk8Y4fP47vv/8eAPDSSy9JyVEIgeKW7hBCYPjw4XBycsK//vUvREZGAgACAwOl\nZB8YGIhOnTph7ty5OHXqFFq0aAEHB4cS37uDgwOCg4MBAB06dMCPP/5YaJvdu3djx44dmD9/PgDg\n0aNHSEpKgoeHByZNmoRffvkFtra2uHDhAgBgz549GDNmjPQDxtnZWdrXwIEDAQDt27dHYmJioWMd\nOnQIw4YNg0qlQoMGDfD0008XGbetrS0GDRoEANKPr4CAAABARkYGPDw8EBMTg549e8Lb27tQHEV9\nzvfu3UNqaip69OgBABg5ciQGDx5cauwNGjQo8r0QyYnJn6zG//3f/6F9+/YYPXp0sdsU/BLPn+zy\nnrOzszOoCz98+NDgNY6OjgByOxrmf72NjQ2ysrIAGJ51CiGgUqkghECvXr2wfv36ImOrUaNGmeMu\nTV7NP/+VDiD3zD8yMhLZ2dkYP348atasiYyMDOj1eoMfIsWxt7eXbud/vwVt27bNoDMhAGi1WjRo\n0ADr1q1Ddna2lOzzPpui5H3Wtra2xR6rLJ9NtWrVDP5PRo4ciQ8//NBgm507d5a6n5IUjKO42PPa\nA1FV4mV/shouLi4YMmQIVq1aVeSXq7e3N65fv17qfry9vREfH4/MzEzcvXsX+/btK3K7kpJObGws\nEhMTkZOTg2+//RY9evRAly5dcOTIESQkJADIrY3nnf2WJDAwEBs3bgQAfPPNN+jZs2eprykuvhYt\nWiA5ORmHDx9Gu3btAAD+/v5YtmwZunfvXqb9lkaj0WDJkiXS/VOnTgHIPVP28PAAAKxduxbZ2dkA\ngF69emH16tXSj6yUlJQyH6tnz57YtGkTcnJy8Oeff2L//v2lvuaZZ57Bli1bpI6Od+7cwZUrV9Cl\nSxccPHhQOiu/c+cOgNyrSmlpaQb7EEKgdu3acHFxker569atg1qtLvX4f/75p3R1gaiqMPmTxcuf\n6P/973/j1q1bRW7XrVs3qQNYUa/Nu+3l5YUhQ4agVatWCA0NLXT2nH/7ol6vUqnQsWNHTJo0CX5+\nfmjSpAleeOEF1KtXD2vWrMHQoUPRtm1bBAYG4ty5c6W+v8jISKxevRpt27bFN998g8WLFxd5/KLi\nK+qxLl26oF69erC1tQUAdO3aFZcuXSrTmX/B91vUMWbNmoXHjx+jTZs2aNWqldQX4rXXXsNXX30F\nf39/nDt3DjVr1gSQ+2MhJCQEAQEBaNeundSZrizv54UXXkCzZs3g5+eHkSNHFvse8r+2ZcuWeP/9\n9/H/7dm7DYMwFEbhPzsgJqA3YgJE4Y6Gjj2gZQ5ER0FDwx6UnoItkipRJIo8pASJe74BbHfH1/be\nyzkn7722bVMURRqGQVVVKU1T1XUtSSrLUsuyKMuyR+jv643jqLZt5ZxTCEFd173cf13Xty9wwLcu\n10/fC4ETK4pC0zTt/v6Bf8nzXPM8K47jo4+CE2PyB540TaO+748+BowKIShJEsKPn2PyBwDAGCZ/\nAACMIf4AABhD/AEAMIb4AwBgDPEHAMAY4g8AgDE3iLJgYK+YtNEAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 13
}
],
"metadata": {}
}
]
}
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