mirror of
https://github.com/wassname/simpeg.git
synced 2026-06-28 08:40:25 +08:00
274 lines
265 KiB
Plaintext
274 lines
265 KiB
Plaintext
{
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"metadata": {
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"name": "exsourceel.ipynb"
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},
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"nbformat": 3,
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"nbformat_minor": 0,
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"worksheets": [
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{
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"cells": [
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"%pylab inline\n",
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"import sys\n",
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"sys.path.append('../')\n",
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"\n",
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"import numpy as np\n",
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"from scipy import sparse as sp\n",
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"import matplotlib.pyplot as plt\n",
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"from SimPEG import TensorMesh"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"output_type": "stream",
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"stream": "stdout",
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"text": [
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"\n",
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"Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.kernel.zmq.pylab.backend_inline].\n",
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"For more information, type 'help(pylab)'.\n"
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]
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}
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],
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"prompt_number": 2
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},
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{
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"cell_type": "heading",
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"level": 4,
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"metadata": {},
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"source": [
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"Set up mesh"
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]
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"x0 = np.zeros(3)\n",
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"h1 = np.ones(100)\n",
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"h2 = np.ones(100)*0.5\n",
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"h3 = np.ones(100)*0.5\n",
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"mesh = TensorMesh([h1,h2,h3],x0)"
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],
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 3
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},
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{
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"cell_type": "heading",
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"level": 4,
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"metadata": {},
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"source": [
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"Location and of sources"
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]
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"# make loop centre dipole locations\n",
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"loc = array(([32.3,19.8,48.3],[15,35.2,25.9]))\n",
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"Lx = array((3))\n",
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"Ly = array((8))\n",
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"dipoleDirection = array(([3,1]))"
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],
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 4
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},
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{
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"cell_type": "heading",
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"level": 4,
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"metadata": {},
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"source": [
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"Get simple loop and dipole source"
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]
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"e = mesh.simpleLoopSource(loc,Lx,Ly)\n",
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"b = mesh.magneticDipoleSource(loc,dipoleDirection)"
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],
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 6
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},
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{
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"cell_type": "heading",
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"level": 4,
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"metadata": {},
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"source": [
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"Plot results"
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]
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"plt.colorbar(mesh.plotImage(log(mesh.r(b[:,0],'F','Fx','V')),'Fx'))\n",
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"plt.colorbar(mesh.plotImage(log(mesh.r(b[:,0],'F','Fy','V')),'Fy'))\n",
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"plt.colorbar(mesh.plotImage(log(mesh.r(b[:,0],'F','Fz','V')),'Fz'))"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"output_type": "stream",
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"stream": "stderr",
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"text": [
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"-c:3: RuntimeWarning: invalid value encountered in log\n"
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]
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},
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{
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"output_type": "pyout",
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"prompt_number": 26,
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"text": [
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"<matplotlib.colorbar.Colorbar instance at 0x0000000059840608>"
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]
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},
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{
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"output_type": "display_data",
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"png": 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GNBOI2yD5djNVWhvmGUV4L6iACVAdAUrHrxb6XmkmEBMg+V5HVvXTFfBOE9SB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\nHMc4Psg5juMY9wPfK3PAeJmiOgAAAABJRU5ErkJggg==\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x48af9048>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 26
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"plt.colorbar(mesh.plotImage(log(mesh.r(b[:,1],'F','Fx','V')),'Fx'))"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "pyout",
|
|
"prompt_number": 14,
|
|
"text": [
|
|
"<matplotlib.colorbar.Colorbar instance at 0x0000000036273CC8>"
|
|
]
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"png": 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HHzRp9wxJksK+PmfOHO3Izc1tzscTCAQtkNzc3BD/cCG4WI58zJgx7N27l+3bt1NTU8Py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VWYTXYcTqHl8gdieMgQ6cbSEqu29hbHv1q99g+PgW6RoWFZaquIibW6i4032U3eWLKeV2MMTIiA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\ngg==\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x36166c50>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 14
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"plt.colorbar(mesh.plotImage(log(mesh.r(b[:,1],'F','Fx','V')),'Fx'))\n",
|
|
"plt.colorbar(mesh.plotImage(log(mesh.r(b[:,1],'F','Fy','V')),'Fy'))\n",
|
|
"plt.colorbar(mesh.plotImage(log(mesh.r(b[:,1],'F','Fz','V')),'Fz'))"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "pyout",
|
|
"prompt_number": 27,
|
|
"text": [
|
|
"<matplotlib.colorbar.Colorbar instance at 0x00000000676AFC48>"
|
|
]
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"png": 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Aww6cAzoDZ2v6rTWM/8U86Y8++oipU6cCYDabeeONN9i2bRtvvvlmva5XuN1u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\ngg==\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x59ea6f60>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 27
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"plt.colorbar(mesh.plotImage(log(mesh.r(e[:,0],'E','Ex','V')),'Ex',1))\n",
|
|
"plt.colorbar(mesh.plotImage(log(mesh.r(e[:,0],'E','Ey','V')),'Ey',2))"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "pyout",
|
|
"prompt_number": 22,
|
|
"text": [
|
|
"<matplotlib.colorbar.Colorbar instance at 0x000000004999C648>"
|
|
]
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"png": 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GkiVLsG3bNrRq1QoXLlxA3bp18eTJE7i7u+PatWuIjo6Gk5MTpk1TN5xRo0Zh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\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x3628a898>"
|
|
]
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
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"png": 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GkiVLsG3bNrRq1QoXLlxA3bp18eTJE7i7u+PatWuIjo6Gk5MTpk1TN5xRo0Zh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\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x49650c50>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 22
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"plt.colorbar(mesh.plotImage(mesh.r(e[:,1],'E','Ex','V'),'Ex',1))\n",
|
|
"plt.colorbar(mesh.plotImage(mesh.r(e[:,1],'E','Ey','V'),'Ey',2))"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "pyout",
|
|
"prompt_number": 25,
|
|
"text": [
|
|
"<matplotlib.colorbar.Colorbar instance at 0x0000000059776748>"
|
|
]
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"png": 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gw/2M2vtza7sSAMooNZ0VTyJeeJFCKimkattPcYr5vCQ1q5pqkkkhgACqqGI/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\nM5pU0W+kK/J27dqxfPnyetu7devGypU1n+KTkpK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hzvjyWwFHY0EdjSMtKSnhkUceITQ0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\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x59279898>"
|
|
]
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
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"png": 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cZryNpou4ZETTRTz1G01vUCXQLQ3qaN1F03/hGO/xLv/BfQRa/I+3wmJhJFnR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\nOXbbmUwmcnJyCAsLc7AXewJkH6gzLlyovbodOnQ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|
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"text": [
|
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"<matplotlib.figure.Figure at 0x59274fd0>"
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]
|
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}
|
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],
|
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"prompt_number": 25
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}
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],
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"metadata": {}
|
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}
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]
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}
|