mirror of
https://github.com/wassname/simpeg.git
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729 lines
537 KiB
Plaintext
729 lines
537 KiB
Plaintext
{
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"metadata": {
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"name": ""
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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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"from SimPEG import *\n",
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"from simpegPF.MagAnalytics import spheremodel, MagSphereAnalFun, CongruousMagBC\n",
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"%pylab inline"
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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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"Populating the interactive namespace from numpy and matplotlib\n"
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]
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}
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],
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"prompt_number": 1
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Writing magnetostatic problem with secondary field formulation\n",
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"\n",
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"## - Here we focus on cell-centered system with FVM-Weak form"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Step:1 Generating mesh and operators"
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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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"cs = 25.\n",
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"hxind = [(cs,5,-1.3), (cs, 41),(cs,5,1.3)]\n",
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"hyind = [(cs,5,-1.3), (cs, 41),(cs,5,1.3)]\n",
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"hzind = [(cs,5,-1.3), (cs, 40),(cs,5,1.3)]\n",
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"M3 = Mesh.TensorMesh([hxind, hyind, hzind], 'CCC')"
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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": 10
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Step2: Generating model $\\mu$\n",
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"\n",
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"### $\\mu = \\mu_0(1+\\chi)$"
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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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"mu0 = 4*np.pi*1e-7\n",
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"chibkg = 0.\n",
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"chiblk = 1.\n",
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"chi = np.ones(M3.nC)*chibkg"
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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": 11
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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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"sph_ind = spheremodel(M3, 0., 0., 0., 50)\n",
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"chi[sph_ind] = chiblk\n",
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"mu = (1.+chi)*mu0"
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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": 12
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Step3: Compute Boundary condition $\\mathbf{B}_{sBC}$ using congruous sphere method"
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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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"BC = [['neumann', 'neumann'], ['neumann', 'neumann'], ['neumann', 'neumann']]\n",
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"Box = 1 # Primary field in x-direction (background)\n",
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"Boy = 0 # Primary field in y-direction (background)\n",
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"Boz = 0 # Primary field in z-direction (background)\n",
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"B0 = np.r_[Box*np.ones(np.prod(M3.nFx)), Boy*np.ones(np.prod(M3.nFy)), Boz*np.ones(np.prod(M3.nFz))]"
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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": 13
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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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"Bbc, Bbc_const = CongruousMagBC(M3, np.array([Box, Boy, Boz]), chi)"
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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": 28
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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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"figsize(10,10)\n",
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"M3.plotGrid()"
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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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"metadata": {},
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"output_type": "display_data",
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Exo1c7Pj7M6xda/NkhgUH6x4LDgBUqqTh4EGvxSdHDh23biXvSR81KhYTJgTh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\nrgAAAABJRU5ErkJggg==\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0xa46fb38>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 29
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"M3.plotImage(np.log10(mu))"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 30,
|
|
"text": [
|
|
"<matplotlib.collections.QuadMesh at 0x10166160>"
|
|
]
|
|
},
|
|
{
|
|
"metadata": {},
|
|
"output_type": "display_data",
|
|
"png": 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zt6/dnax6vgwe3FJbtvSTw/GS0tNHaPbsP7ttzSaUNpe5czsW+3zJzR2n6tV9f/M6yu93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\nIiIiIpKExYuIiIhIkv8D1ioBSS++IMgAAAAASUVORK5CYII=\n",
|
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"text": [
|
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"<matplotlib.figure.Figure at 0xa504278>"
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]
|
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}
|
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],
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"prompt_number": 30
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Step4: get system matrix $\\mathbf{A}$ and right handside\n",
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"### 4.1 Backgrounds: Weak formulation for Poisson equation with cell-centered system\n",
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"\n",
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"### $$\\frac{1}{\\mu}\\mathbf{B}_s = (\\frac{1}{\\mu}_0-\\frac{1}{\\mu})\\mathbf{B}_0+\\nabla\\phi_s$$\n",
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"\n",
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"### $$\\nabla \\cdot \\mathbf{B}_s = 0 $$\n",
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"\n",
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"\n",
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"### $$ (\\mathbf{B}_s\\cdot{\\bar{\\mathbf{n}}})_{\\partial\\Omega} = B_{sBC}$$\n",
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"\n",
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"### In discretized form we have \n",
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"\n",
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"### $$\\mathbf{diag(v)}\\mathbf{D}\\mathbf{P}_{in}^T \\mathbf{P}_{in}\\mathbf{B}_s + \\mathbf{diag(v)}\\mathbf{D} \\mathbf{P}_{out}^T B_{sBC}=0$$\n",
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"\n",
|
|
"### $$\\mathbf{M}^f_{\\frac{1}{\\mu}}\\mathbf{B}_s = \\mathbf{M}^f_{\\frac{1}{\\mu_0}}\\mathbf{B}_0-\\mathbf{M}^f_{\\frac{1}{\\mu}}\\mathbf{B}_0 -\\mathbf{P}_{in}\\mathbf{P}_{in}^T\\mathbf{D}^T\\mathbf{diag(v)}\\phi_s$$\n",
|
|
"\n",
|
|
"### $$ \\mathbf{Div} = \\mathbf{diag(v)}\\mathbf{D}\\mathbf{P}_{in}^T \\mathbf{P}_{in}$$\n",
|
|
"\n",
|
|
"### $$ \\mathbf{Div}\\mathbf{B}_s + \\mathbf{diag(v)}\\mathbf{D} \\mathbf{P}_{out}^T B_{sBC}=0$$\n",
|
|
"\n",
|
|
"### $$\\mathbf{B}_s = (\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{M}^f_{\\frac{1}{\\mu_0}}\\mathbf{B}_0-\\mathbf{B}_0 -(\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{Div}^T\\phi_s$$\n",
|
|
"\n",
|
|
"\n",
|
|
"### $$\\mathbf{A} = - \\mathbf{Div}(\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{Div}^{T}$$\n",
|
|
"\n",
|
|
"### $$\\mathbf{rhs} = - \\mathbf{Div}(\\mathbf{M}^f_{\\frac{1}{\\mu}})^{-1}\\mathbf{M}^f_{\\frac{1}{\\mu_0}}\\mathbf{B}_0 + \\mathbf{Div}\\mathbf{B}_0-\\mathbf{diag}(v)\\mathbf{D} \\mathbf{P}_{out}^T B_{sBC}$$"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"Dface = M3.faceDiv\n",
|
|
"Pbc,Pin, Pout = M3.getBCProjWF(BC, discretization='CC')\n",
|
|
"Mc = Utils.sdiag(M3.vol)\n",
|
|
"Div = Mc*Dface*Pin.T*Pin\n",
|
|
"MfmuI = Utils.sdiag(1/M3.getFaceInnerProduct(1/mu).diagonal())\n",
|
|
"Mfmu0 = M3.getFaceInnerProduct(1/mu0)\n",
|
|
"A = -Div*MfmuI*Div.T\n",
|
|
"rhs = -Div*MfmuI*Mfmu0*B0 + Div*B0 - Mc*Dface*Pout.T*Bbc"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 31
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"print Mc.shape\n",
|
|
"print Dface.shape\n",
|
|
"print Pout.shape\n",
|
|
"print Bbc.shape"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"(130050, 130050)\n",
|
|
"(130050, 397851)\n",
|
|
"(15402, 397851)\n",
|
|
"(15402L,)\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 32
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"print MfmuI.shape, Div.T.shape"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"(397851, 397851) (397851, 130050)\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 33
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"# import petsc4py\n",
|
|
"# import sys\n",
|
|
"# from sys import getrefcount\n",
|
|
"# petsc4py.init(sys.argv)\n",
|
|
"# from petsc4py import PETSc\n",
|
|
"# import PETScIO as IO\n",
|
|
"# Apetsc = PETSc.Mat().createAIJ(size=A.shape,csr=(A.indptr, A.indices, A.data))\n",
|
|
"# bpetsc = IO.arrayToVec(rhs)\n",
|
|
"# xpetsc = IO.arrayToVec(0*rhs)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 36
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"# u1 = PETSc.Vec().createSeq(M3.nC)\n",
|
|
"# u1.set(1)\n",
|
|
"# u1.normalize()\n",
|
|
"# basis = [u1]\n",
|
|
"# nullsp = PETSc.NullSpace().create(False, basis, comm=PETSc.COMM_SELF)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 35
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"# %%time\n",
|
|
"# ksp = PETSc.KSP().create()\n",
|
|
"# pc = PETSc.PC().create()\n",
|
|
"# ksp.setOperators(Apetsc)\n",
|
|
"# ksp.setType(ksp.Type.BCGS)\n",
|
|
"# pc = ksp.getPC()\n",
|
|
"# pc.setType(pc.Type.BJACOBI)\n",
|
|
"# OptDB = PETSc.Options()\n",
|
|
"# OptDB[\"ksp_rtol\"] = 1e-8\n",
|
|
"# OptDB[\"pc_factor_levels\"] = 1\n",
|
|
"# ksp.setFromOptions()\n",
|
|
"# ksp.view()\n",
|
|
"# ksp.solve(bpetsc, xpetsc)\n",
|
|
"# print ksp.its# print ksp.its\n",
|
|
"# phi = IO.vecToArray(xpetsc)\n",
|
|
"# print np.linalg.norm(A*phi-rhs)/norm(rhs)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 37
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"%%time\n",
|
|
"m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(-1/A.diagonal()))\n",
|
|
"phi, info = sp.linalg.bicgstab(A, rhs, tol=1e-6, maxiter = 1000, M =m1)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"Wall time: 1.53 s\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 40
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"print info\n",
|
|
"print M3.nC"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"0\n",
|
|
"130050\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 41
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"B = MfmuI*Mfmu0*B0-B0-MfmuI*Div.T*phi\n",
|
|
"rhsa = A*phi\n",
|
|
"print info\n",
|
|
"print np.linalg.norm(rhs-rhsa)/np.linalg.norm(rhs)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"0\n",
|
|
"8.03408261327e-07\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 42
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"#### BICG, qmr or BICGstab with Jacobi preconditioner works well (scipy), minres does not work ... Need to play with some other iterative solvers. Remeber that our system has null-space, which is constant"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"figsize(5,5)\n",
|
|
"M3.plotSlice(phi)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 53,
|
|
"text": [
|
|
"(<matplotlib.collections.QuadMesh at 0xa55a1d0>,)"
|
|
]
|
|
},
|
|
{
|
|
"metadata": {},
|
|
"output_type": "display_data",
|
|
"png": 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ARgwiIW6WRTLCv4Ey2rdPXlboAh2RgxaRI0J9t4QONOVNC12ApEd3xGzbN8t2hWx/XDYu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\nAoARAQoARgQoABgRoABgRIACgNH/AaLPXsrEPaRJAAAAAElFTkSuQmCC\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x1018d400>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 53
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Step4: Compute analytic function (sphere in whole space)\n",
|
|
"\n",
|
|
"### Outside of the sphere $(r>R)$\n",
|
|
"\n",
|
|
"### $$\\mathbf{H}_1 = H_0 \\hat{x} + H_0\\frac{R}{r^5}\\frac{\\mu_2-\\mu_1}{\\mu_2+2\\mu_1}[(2x^2-y^2-z^2)\\hat{x}+(3xy)\\hat{y}+(3xz)\\hat{z}]$$\n",
|
|
"\n",
|
|
"### $$H_{x1} = H_0 + H_0\\frac{R}{r^5}\\frac{\\mu_2-\\mu_1}{\\mu_2+2\\mu_1}(2x^2-y^2-z^2)$$\n",
|
|
"\n",
|
|
"### $$H_{y1} = H_0\\frac{R}{r^5}\\frac{\\mu_2-\\mu_1}{\\mu_2+2\\mu_1}(3xy)$$\n",
|
|
"\n",
|
|
"### $$H_{z1} = H_0\\frac{R}{r^5}\\frac{\\mu_2-\\mu_1}{\\mu_2+2\\mu_1}(3xz)$$\n",
|
|
"\n",
|
|
"### Inside of the sphere $(r\\le R)$\n",
|
|
"\n",
|
|
"### $$\\mathbf{H}_2 = H_0\\frac{3\\mu_1}{\\mu_2+2\\mu_1}\\hat{x}$$\n",
|
|
"\n",
|
|
"### $$H_{x2} = H_0\\frac{3\\mu_1}{\\mu_2+2\\mu_1}$$"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Step5: Projection to receiver locations"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"xr = np.linspace(-300, 300, 41)\n",
|
|
"yr = np.linspace(-300, 300, 41)\n",
|
|
"X, Y = np.meshgrid(xr, yr)\n",
|
|
"Z = np.ones((size(xr), size(yr)))*80"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 54
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"rxLoc = np.c_[Utils.mkvc(X), Utils.mkvc(Y), Utils.mkvc(Z)]\n",
|
|
"Qfx = M3.getInterpolationMat(rxLoc,'Fx')\n",
|
|
"Qfy = M3.getInterpolationMat(rxLoc,'Fy')\n",
|
|
"Qfz = M3.getInterpolationMat(rxLoc,'Fz')"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 55
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"Bxr = np.reshape(Qfx*B, (size(xr), size(yr)), order='F')\n",
|
|
"Byr = np.reshape(Qfy*B, (size(xr), size(yr)), order='F')\n",
|
|
"Bzr = np.reshape(Qfz*B, (size(xr), size(yr)), order='F')\n",
|
|
"H0 = Box/mu0\n",
|
|
"\n",
|
|
"flag = 'secondary'\n",
|
|
"\n",
|
|
"Bxra, Byra, Bzra = MagSphereAnalFun(X, Y, Z, 50., 0., 0., 0., mu0, mu0*(1+chiblk), H0, flag)\n",
|
|
"Bxra = np.reshape(Bxra, (size(xr), size(yr)), order='F')\n",
|
|
"Byra = np.reshape(Byra, (size(xr), size(yr)), order='F')\n",
|
|
"Bzra = np.reshape(Bzra, (size(xr), size(yr)), order='F')"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 56
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"figsize(10, 4)\n",
|
|
"plot(Utils.mkvc(Bxra))\n",
|
|
"plot(Utils.mkvc(Bxr), 'k:')\n",
|
|
"plot(Utils.mkvc(Byra))\n",
|
|
"plot(Utils.mkvc(Byr), 'k:')\n",
|
|
"plot(Utils.mkvc(Bzra))\n",
|
|
"plot(Utils.mkvc(Bzr), 'k:')"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 57,
|
|
"text": [
|
|
"[<matplotlib.lines.Line2D at 0xaddff28>]"
|
|
]
|
|
},
|
|
{
|
|
"metadata": {},
|
|
"output_type": "display_data",
|
|
"png": 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bWqp9TprIqcJuTM+etPDR8JRqs2Hx9ycuLo7XYmM196Tdl5FBlculuVeQmhoqIyKw+fpq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oLcb8FhsxkYMuRZPvnkU5zON7TuSwghfImENCF6k/Z2z9pbrTgaGxmoOyoGrkepdXX6c9guJKip\n0dEM0dxcrGO+2IkTe1GqVusSNTU/Yffu3ZjN8dhs7j+6vp6T5iQgQH9OmhBC+AqZkyZEb6KUR81b\nTCZu2rGDtz143vdhWxsbn3uO9OZmfqzTwWSiTilsDQ0EaO5zUVe3j/ff/zvXXPOfREe7b2+xgNH4\nFOnpodpnd1qtUFn5IoMH/4iBA1O17ksIIXyJjKQJ0ZvExHi0gZfZ4SDcYOA3bW3afY63txNkMJAU\nFKTd518NBqZt3cqJhgat9larAafTpL3HrtkMra2DaGtzUlJyjXZIa2z8O3V1eqcNCCGEr5GRNCF6\nk7/8xXXqgCaDzcazgwfjPKu3ySzAtEGDmJaZCSdOaPcpCAzktSFDsGuehBAVlYzJlMy2ba+i1A+A\n7gOh0eiazG+x2ImPf0M7pNlsKzh48D0aGhqALK17E0IIXyEjaUL0Jv36QVSUfnurlZD6evrZ3U+0\n79QxJ013i/4LfWaGhdEvLEz3tmhuhtOnizEYmjUvcg9/+tMbGI3x2iGtuRmam50EBDg1ryGEEL5D\nQpoQ/sxq5ZajRznlwZ4S+5ub+ekrr/C25qNLgHqzmZbz57WDXUPDEfbseYZhw55i4MABWn3s9oeZ\nMGGyR3PSGhtfJyIiiSFDJmtdQwghfInXIa22tpYZM2YQExPDzTffTF1d3SXbFRUVkZycTEJCAqtW\nrery8yeffBKj0chZDx7HCCE0WSxUtrbypgePSM8oRT+TiTjN7TQAcmtrGfHRR9Q59UasbDYjTqeJ\npibQXXhqsw3k5MlKKiomaW5mC21t5dTU1MucNCFEr+R1SFuzZg0xMTEcOnSI6Oho1q5de8l2ixYt\nYt26dezcuZPVq1dTWfn1ETBHjx6loKCA2Njuz+0TQnjJauUNpZgZGand5frISFalphKv+egSYOPg\nwSwJDcWs+Vh10KBo4uNzOXZsg/ajSNepA1GEha3XCmlGI5jND/PFFweorS3WuoYQQvgSr0NaaWkp\nubm5WK1W5s6dS0lJSZc2NTU1AEyYMIHY2FhycnIuanfffffxxBNPeHsLQgh3rFb6AUG6G9OCKw15\nsk8agNnM7UYjVs0VoR3zxaqrd2Gz6a1WbWhYzssv59PeHqt7KhZWK9TVOTGbPdxfTgghfIDXqzv3\n7NlDUlISAElJSZSWlnbbBiAlJYXi4mKmTp3Kpk2biI6OZuTIkd1e55FHHun888SJE5k4caK3tyxE\n32O1sgi4vamJ0Zpdvmxu5t927eLJsWO5VrNPg8mEqa4Oq+actLa2aj7++DkGDcpHd03DgAF5TJ4c\nwJNP6q9pMBi2ExiYQkxMnF4HIYTwQGFhIYWFhVfs93cb0rKzszl58mSX95cvX47ycFPNDgaDgcbG\nRh599FEKCgo63/+23/fNkCaE8JDVyjBggAd7ntUA4QYDkaGh2n3uP32aDfX1NGimJ0/3SQOw2/vz\n2Wd/4/z5xzGbX9XqYzR+TmVlJBERetcQQghP/OPg0dKlSy/r7+82pH0zRP2jDRs2UF5eTlpaGuXl\n5aSnp3dpk56ezuLFizu/LysrY8qUKXz++edUVFQwatQoAI4dO8bo0aMpLS0lQj5Nhbh8rFbuBtfW\nHZpGDhrEa0OGgAdz0lZdfTVjKyu1h7j69w8lMvLnfPDBK9hss7T6WCwQEzMco/Ep7WDXv/+dnDjx\nCg6HDUhy214IIXyJ13PSMjIyyM/Pp7Gxkfz8fMaNG9elTeiFf4kXFRVRUVFBQUEBGRkZjBgxglOn\nTnH48GEOHz5MdHQ0e/fulYAmxOXWkWY8mV/WMSfNg33SAqxW7gB0J4tZrdDU1ERTU6n2rZ079wwb\nNjxJa2u0R3PS6uvbMJu9G/kXQoie5HVIy8vL48iRIyQmJnL8+HEWLFgAwIkTJ5g6dWpnu5UrVzJ/\n/nyysrJYuHAh4eHhXX6XwYNjboQQHvAipJ1pbSXhyBEONzVp92kyGmkE7WAXEOCkouJ3mExPat9a\nZORsbrppISaTa+WmjtbWIgIC0oiOTtbrIIQQPsTrhQPBwcFs2rSpy/tRUVFs3bq18/vMzEzKy8u7\n/V1ffPGFt7chhOhOx6pOD1Z3NhgMDFaKMA/msf1HRQUrAaUZ0mw2A+3tAR7NSXM4Qti7903gTeD3\nWn2UOkp1tdLei00IIXyJnDgghD8LCLj4q4bY8HCK2tu1j3gCWJaSwh9BeyTNbjcSFPRz2tq2aj+6\nNJshLm4CDscS7fuKivoJ587tp7m56wIoIYTwdRLShBAX60hNHsxJC7bbme1BH6vVtY+iyfQJurMd\nKiv/xEsvPYzVqr8xr+toqDYsFplSIYTofSSkCdEX6E7iAuqUwgFUax7xBNBsNFIPHoW06urXCQy8\nW/sa0dGTmTTpPz06972p6W+0to4lImKQfichhPARXs9JE0L0Em+9BaN1t7KFNpOJaMAWGKjdZ9n+\n/TyK/pw014kDVoKD9Vdd2u1B7NmzkYaG08BDWn2czq+or3fK2Z1CiF5JRtKE8HfZ2dC/v3bzsNBQ\nDuJZSFt0zTW8Adpz31yhaToGw17ta1gsMHToTPr3/z/afeLipgHlGAz6K1WFEMJXSEgTQlysY06a\nB8NPEXY7MwDdCWauX30aOKh9jaqq3Wzdmofd3nUbn+6v04bNJh91QojeRz65hBAXaTOZMIBHCwda\nnU5qPbiGKzx9SlhYjnafqKgxjB690sM5aYeAcQQFedBJCCF8hIQ0IcRFTFYrfwGPQtrGL75grAfX\ncD0VtWI266+6dDjsfPzxGqqr12v3UeocUCH7pAkheiUJaUKIixhsNqaBR48758THs8fjK43E6Tyj\n3dpigaioOxk06F+1+wwefA1QJQsHhBC9koQ0IcTFgoNdX0NCtLuYjEb0zyfocJSWlqParWtq9vPB\nB7NxOPQ32bVY2gGDhDQhRK8kIU0IcbHQ0Iu/6vj1r2HLFg8v1IrZHKPdOiLiamJiXtA+oQDAZKoD\n4uVxpxCiV5J90oQQF/MmpEVFuV4esWAwmLRbOxwWjhx5BLv9R8BkrT5BQY3AIcL1F4QKIYTPkJAm\nhLiYNyHNKz/EbtdvbTaDw7GMyEj9/dtiY+OABzuf4AohRG8ijzuFEBfrCGcezEn7LihVz8mT1+Nw\n6M9+69i2Tfd8UCGE8CUykiaEuJjDAR9+CCb9R5HeeOwxGD5cv31goB2T6R2P5qRlZsLMmZ7fmxBC\n+AIJaUKIrlJTr/glHnzQs/ZWq5HW1jzq6pYDI7X6REfDq696fm9CCOELJKQJIXoF1966axk4UFYB\nCCH6BpmTJoToFVyPOX+AUnU9fStCCPGdkJAmhOgVXCNp2wgO1t/MVgghejN53CmE6BVcIS1KNqYV\nQvQZMpImhOgVOlZ1erK6UwghejMJaUKIXsE1kvb1VyGE8HcS0oQQvYKENCFEX+N1SKutrWXGjBnE\nxMRw8803U1d36RVXRUVFJCcnk5CQwKpVqy762fr160lOTmb48OH88pe/9PZWhBB9QEc4k8edQoi+\nwuuQtmbNGmJiYjh06BDR0dGsXbv2ku0WLVrEunXr2LlzJ6tXr6ayshKATz/9lGeeeYbNmzdTVlbG\nAw884O2tCCH6gI5Tqq74kaJCCOEjvA5ppaWl5ObmYrVamTt3LiUlJV3a1NTUADBhwgRiY2PJycnp\nbLdt2zZyc3NJSEgAYODAgd7eihCiDwgLu/irEEL4O6+34NizZw9JSUkAJCUlUVpa2m0bgJSUFIqL\ni5k6dSo7duxgxIgRjBkzhtTUVO677z5SUlK6/I5HHnmk888TJ05k4sSJ3t6yEKIXk5AmhPA1hYWF\nFBYWXrHf321Iy87O5uTJk13eX758OUopry5oMBgAaG5u5uzZs+zevZudO3dy11138c4773Rp/82Q\nJoTou2QLDiGEr/nHwaOlS5de1t/fbUgrKCj41p9t2LCB8vJy0tLSKC8vJz09vUub9PR0Fi9e3Pl9\nWVkZU6ZMAWDcuHFMnDgRu93O9OnTmT9/Pk1NTdhkp0ohRDciInr6DoQQ4rvh9Zy0jIwM8vPzaWxs\nJD8/n3HjxnVpE3phhm9RUREVFRUUFBSQkZEBwPjx49m2bRtKKUpKSoiPj5eAJoToVns7DBvW03ch\nhBDfDa9DWl5eHkeOHCExMZHjx4+zYMECAE6cOMHUqVM7261cuZL58+eTlZXFwoULCQ8PB2DGjBm0\ntbWRkpLCb37zG5566ql/shQhhL+7MFtCCCH6BIPydnLZd8BgMHg9900IIYQQ4rt0uXOLnDgghBBC\nCOGDJKQJIYQQQvggCWlCCCGEED5IQpoQQgghhA+SkCaEEEII4YMkpAkhhBBC+CAJaUIIIYQQPkhC\nmhBCCCGED5KQJoQQQgjhgySkCSGEEEL4IAlpQgghhBA+SEKaEEIIIYQPkpAmhBBCCOGDJKQJIYQQ\nQvggCWlCCCGEED5IQpoQQgghhA+SkCaEEEII4YMkpAkhhBBC+CAJaUIIIYQQPkhCmhBCCCGED5KQ\nJoQQQgjhgySkCSGEEEL4IAlpPqiwsLCnb6FHSN19i9Tdt0jdfUtfrfty8zqk1dbWMmPGDGJiYrj5\n5pupq6u7ZLuioiKSk5NJSEhg1apVne/v27ePadOmkZqayvTp0ykvL/f2VvxOX/3LLXX3LVJ33yJ1\n9y19te7LzeuQtmbNGmJiYjh06BDR0dGsXbv2ku0WLVrEunXr2LlzJ6tXr6aqqgqAZcuWcfvtt/PR\nRx8xZ84cli1b5u2tCCGEEEL4Ha9DWmlpKbm5uVitVubOnUtJSUmXNjU1NQBMmDCB2NhYcnJyKC4u\nBiA0NJSqqira29upqqqiX79+3t6KEEIIIYT/UV6KiYlRjY2NSiml6uvrVUxMTJc2BQUFavbs2Z3f\nr1mzRi1ZskQppVRNTY1KTExUISEhKikpSZ0/f75Lf0Be8pKXvOQlL3nJq9e8LqcAupGdnc3Jkye7\nvL98+XJcGcpzBoMBgLlz53L33Xczf/58Vq9eTW5uLq+++upFbb29hhBCCCFEb9dtSCsoKPjWn23Y\nsIHy8nLS0tIoLy8nPT29S5v09HQWL17c+X1ZWRlTpkwB4N133+WFF14gICCA3NxcHnvsMW9rEEII\nIYTwO17PScvIyCA/P5/Gxkby8/MZN25clzahoaGAa4VnRUUFBQUFZGRkAHDDDTewefNmADZt2kR2\ndra3tyKEEEII4Xe8Dml5eXkcOXKExMREjh8/zoIFCwA4ceIEU6dO7Wy3cuVK5s+fT1ZWFgsXLiQ8\nPByAJUuW8MYbbzBq1CjefPNNHn744X+yFCGEEEIIP3JZZ7hdRrt27VJJSUlq2LBh6ne/+11P385l\ndeTIETVx4kSVkpKiMjMz1UsvvaSUUur8+fPqhz/8obrqqqvUjBkzVG1tbWefp59+Wg0bNkwlJyer\n3bt399StXxZtbW0qNTVVTZs2TSnVN+quq6tTt99+u0pISFDJycmquLi4T9T9zDPPqPHjx6trr71W\nLVq0SCnln/+/77jjDhUREaFGjBjR+Z43de7bt0+lpaWpoUOHqoceeug7rcEbl6r7gQceUElJSSot\nLU0tWrRINTQ0dP7Mn+vu8Nvf/lYZDAZVVVXV+Z6/152fn6+SkpJUSkqK+sUvftH5vj/XXVZWpqZO\nnapGjRqlpk2bpvbt29f5s8tZt8+GtNTUVLVr1y5VUVGhEhMT1ZkzZ3r6li6br776Sn344YdKKaXO\nnDmjhg4dqs6fP68ef/xxddddd6mmpiZ15513qhUrViillDp16pRKTExUX375pSosLFRpaWk9efv/\ntCeffFLNmTNHTZ8+XSml+kTd999/v1qyZIlqbGxUra2tqrq62u/rrqqqUnFxcaqurk45nU510003\nqe3bt/tl3UVFRWrv3r0XfYh7U+dNN92kNm7cqCorK9V1112n9uzZ853X4olL1f3WW28pp9OpnE6n\nmjdvnvrDH/6glPL/upVy/QN88uTJKi4urjOk+Xvdn3zyiRo3bpw6ePCgUkqp05pIgAsAAAV9SURB\nVKdPK6X8v+5Zs2apV155RSml1Msvv9y5k8Xlrtsnj4W61P5ql9qHrbeKjIwkNTUVgPDwcIYPH86e\nPXu+de+5kpISpkyZQkxMDJmZmSilqK2t7ckSvHbs2DHefPNN5s2b17l6ty/UvXPnTh566CFsNhsB\nAQGEhob6fd12ux2lFDU1NTQ2NtLQ0EBYWJhf1n399dd32evRkzo7Tmw5cOAAs2bNYsCAAfzoRz/y\n+c+9S9WdnZ2N0WjEaDQyefJkdu3aBfh/3QD33XcfTzzxxEXv+Xvd27ZtIzc3l4SEBAAGDhwI+H/d\n37bX6+Wu2ydD2p49e0hKSur8PiUlpXMTXH/z2WefUVZWxtixYy+qOykpidLSUsD1Pz05ObmzT2Ji\nYufPept7772XFStWYDR+/VfP3+s+duwYTU1N5OXlkZGRweOPP05jY6Pf122321mzZg1xcXFERkZy\n3XXXkZGR4fd1d/CkzpKSEj777DMiIiI63/eHz71nn32W6dOnA67Q6s91b9q0iejoaEaOHHnR+/5e\n91tvvcWnn37KmDFjmDdvHvv27QP8v+4VK1bw9NNP069fP37/+993hvPLXbdPhrS+ora2llmzZvHf\n//3fBAUFebQvXMd+c73Jli1biIiIIC0t7aJa/b3upqYmDh48yC233EJhYSFlZWW8+uqrfl/3mTNn\nyMvLY9++fVRUVPD++++zZcsWv6+7wz9bpyf9fdGyZcsIDg5m5syZwKXr8Ze6GxoaePTRR1m6dGnn\nex11+HPd4Pp8O3v2LLt372bGjBncddddgP/X3bHXa1VVFXl5ecydOxe4/HX7ZEhLT09n//79nd+X\nlZVdcouP3qy1tZVbbrmF2267jRkzZgCuujsOmv/m3nMZGRmd/zoB2L9//yX3pfN17733Hps3b2bo\n0KHceuutvPPOO9x2221+X/ewYcNITExk+vTp2O12br31VrZv3+73dZeWljJu3DiGDRvGgAEDmDlz\nJrt37/b7ujt4WuewYcM4depU5/v79u3rtZ97zz//PDt27ODFF1/sfM+f6/7888+pqKhg1KhRDB06\nlGPHjjF69GhOnTrl13UDjBs3jlmzZmG325k+fTr79++nqanJ7+t+9913mTt3buder0VFRcDl/3vu\nkyGtu/3V/IFSitzcXEaMGME999zT+f637T03duxYduzYwZEjRygsLMRoNBIcHNxTt++1Rx99lKNH\nj3L48GE2btzIpEmTeOGFF/y+boCEhARKSkpob29n69atZGVl+X3d119/PR988AFnz56lubmZbdu2\nkZOT4/d1d/CmzqSkJDZu3EhlZSV//vOfe+Xn3vbt21mxYgWbN2/GZrN1vu/PdV9zzTWcOnWKw4cP\nc/jwYaKjo9m7dy+DBg3y67oBxo8fz7Zt21BKUVJSQnx8PDabze/r/ra9Xi973Z6vc/huFBYWqqSk\nJBUfH6+efvrpnr6dy2r37t3KYDCoUaNGqdTUVJWamqq2bdvW7ZL9lStXqvj4eJWcnKyKiop68O4v\nj8LCws7VnX2h7gMHDqiMjAw1atQodf/996u6uro+Uff69evVhAkT1JgxY9SSJUuU0+n0y7pnz56t\nBg8erCwWi4qOjlb5+fle1VlWVqbS0tJUXFycevDBB3uiFI901G02m1V0dLR67rnn1LBhw1RMTEzn\nZ1teXl5ne3+r+5v/v79p6NChF23B4c91t7W1qfnz56ukpCR18803q9LS0s72/lZ3x9/z/Px89emn\nn6rZs2erkSNHqjlz5qjy8vLO9pezboNSvfSBsBBCCCGEH/PJx51CCCGEEH2dhDQhhBBCCB8kIU0I\nIYQQwgdJSBNCCCGE8EES0oQQQgghfJCENCGEEEIIH/T/Aft1f5h4OG5tAAAAAElFTkSuQmCC\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0xa53b2b0>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 57
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"fig, ax = subplots(3,2, figsize = (10,15))\n",
|
|
"dat1 = ax[0,0].imshow(Bxr); fig.colorbar(dat1, ax=ax[0,0])\n",
|
|
"dat2 = ax[0,1].imshow(Bxra); fig.colorbar(dat2, ax=ax[0,1])\n",
|
|
"dat3 = ax[1,0].imshow(Byr); fig.colorbar(dat3, ax=ax[1,0])\n",
|
|
"dat4 = ax[1,1].imshow(Byra); fig.colorbar(dat4, ax=ax[1,1])\n",
|
|
"dat5 = ax[2,0].imshow(Bzr); fig.colorbar(dat5, ax=ax[2,0])\n",
|
|
"dat6 = ax[2,1].imshow(Bzra); fig.colorbar(dat6, ax=ax[2,1])"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 58,
|
|
"text": [
|
|
"<matplotlib.colorbar.Colorbar instance at 0x0000000012124588>"
|
|
]
|
|
},
|
|
{
|
|
"metadata": {},
|
|
"output_type": "display_data",
|
|
"png": 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/XpMktPS6DhpD4i8A2LVrFw4dOoTl5WUcOnQI11xzTU+ejRs3AhDC6Sc/+QkO\nHz6ciSzb8e9+97vx7LPPotVq4bXXXsMLL7yA6667zlkXp8j6rd/6LWzatKlrnw8B9wX6UEfZiGzn\nLFL3QTXMssOEtqHBvMDRIkHy/bjWTaCk7XvffdpI3u/DIKJhEBJFjuV35P8BDvxfnVQE/cQzuI7X\n4xkuueQSPPXUU7nxDP1iZBw2imeed37TC9v10vYRYnnn0+ErsHw4yzRU6Fr3GS709WKZ+Mx1P/K4\nwXWf84Z4x4lhn3+Ige933303XnnlFVx22WX46U9/irvuugsA8Oqrr2LPnj1Zvsceewz79u3DjTfe\niHvuuQebN292Hn/jjTfi8ssvx2/+5m/iAx/4AB566CGsW7cu9zILwYeAFQ78uLO++wJg9yZr1vGC\nwxzgSPcxLb9tW3/RMsOyKHyGCRU56aTh43WiHZ6hd8I+ml+VrW/r5FQWecLXtE33uY6dIBx5HTjS\n7yhZTs/dfbVICg/9H92/33TTTfjZz37Wc9wjjzwykniGn//853j3u9+N73//+3jTm95U6nxl4cth\nB17prO/eKFIPBmVUjRo6H9E+xsg2N+Snfd3U913eI5f3XTf+isRFJejmItvQn4m/inix9HUbHxUx\n+mxljRuW533knEh9Y4gf76xfvx7PPPNMz/63ve1t+OY3v5lt33DDDdmwoM/xYRjikUcewSOPPOJd\nl8KXWYSAD/zvtkLyTuKZzzdPEVBRRAlH32fKo/9WVnDZLMG8ocE8oUXrp9dTWVIBOkLLRTwmsoIl\nLz3OdH59H62XjaBM+UzlDAI+10WfsQW7N3UbHA/92J7XihIT9Ok4fPiw9bcvfvGLOH36NHbs2OGM\nZ3jggQey7VOnTuG9731v9pvpeD2eYdOmTVk8gzpuVPDlsAP/Gz0wZ7vnRL418oTJ4PNBngFJjcS8\nlHfuPA+8bfoFWwiDDxRnKaGVWtZ16NdTxBvvI6JM+Xz2+ZxboR+j1gQbz5P2s3uDSAoP/WfJ8/XJ\nYdMC3yacwSegzAqfhlSEmPJeyoNKJve7j5s9T0jkwSa0TBPx2YJGafCozz7qjnfFapUZMnTdl0E/\nh34TrXOR63P93u8LeIiB75MUzzAMeHOYT9sw9etBPF/fOhRpa662XbZf5IFyWFGuor/XZDLld/EZ\nTTbe8jGmKCcV4RBT+/F9hoN4Hj7n0bfpcpDnHuJw4SShsMjyIeBcDOKl5vNSLptcwaOml7zty5yy\nDdLXxW5roYAJAAAgAElEQVQirTzy8flyxyWwTF/tlBVavs8iL8ZkFEGj0Jaua/K5vkFgiCJrkuIZ\nhgFvDuv35TYMTrK1y7x268NLvv0P2tIGlzfexUEuA7BmWTclF8dRIxHw4y16n/I4B5b9RZ5L3rMZ\nNMe5rn3QfDYjIotxh+/89ttvx/PPP48zZ87gl37pl/Dwww/jtttuwx133IEXX3wRV155JZ5++mkj\nUTLGwH9b20E7Z78vG1NDHTRMQ210nZKIabjO5IVyDf25BJArcD3vqxpoS1PnTUlKSDLtUynWlrGW\nl5ZJ95vIqgh50WsYBgYVd6Yfry3Zd1BoGJ4xBv79gqf99WLnWC0oy2GMMfA8+9F0OwfNc6oMvTyf\n9ujiLH3dxVl0Pe9DGsVdPmLJ9UWgabjQZMDp98XGLyaesqWErNs4LyXrPlzmEk0wLCnocaZn2g8M\nvGTNQ3cfK84tRTlsmvnLKbL6KngUImvUL1fbuomYTMRFycMWj2AiJ5fQMokuE0npS/ocfAjKJqwo\neVFCMpWttn1EFp21OY+oBgnTS2lQ5cllKZH17wVPe8X0ktQ4wBgD31XiwEHynK2dF2mTPgLLZCSa\nvOc+vJPnhdI9UK6yTIaifj303ph4xsZZbXS4Sl93cZiLBylX+XzZCcO6DTaesxnQZeAjsmyHHi8p\nsgpw2DTz13AdcfSeFCGeIu5L3zLLQLca1Dq1JvWAcaBDTilZ+tTZRqCUACnpKdKiFqfLJW6yBAN0\niMWWX/2WFyTPyLG0jCJLl+U37DagnrlvXhdoGypb5yl3oU81fLjJlM/3WXPDusuYtO3X25dLYKl8\nOlcAvW1Z9XmbaNDz2bxklL+ox97GX5Rf6Pl1gaVzLuUgVzypTbDazkWFla8n3sZZec/X1a5MzzoP\n9N748tIgPGfAzHDY6C6zyMvEt+H5ENCgQBuhvs8kqEwCK9XK8BVYNrKyWY+m4UOXyFJL/QscJtdp\nnkBb6uLKVmfTeUypH0+WaTkM+BKP3j7yUCQvxYwQ1EShH+PQh9Ns+VzH+r4MXcabjSPouuqLutBy\nnTtPYJlis0xeLV+RlWjl274mTNFbF5dxaDqXSWz5DBnSsgD/dqH/rr+LXO8lG/Ly5R1fVMzZMCMc\nNlpPlm2f6fe8F6et0Q4DJpVv82TZltCONdXbZVVRoeXyZFGyKuJut8Vx0fqqfHlCi95DG0n5CCwb\nORUhqX7h43mihGcCJcQyCEseV6F/FBVbRYyBvLy0XJ+XIdDbR03ruiGl1vXjbd54Wkdavi321Pax\nDvVs6WKNiiydJ9RwoM5jJn6jHGcSWvTaXAahS2jRdVO5PsgT2j68Q+ESZ77ivR/MCIeNXmQN4vhR\nCSxTw6YdvYgny1ZfakX5CCxTjIQtYB6kPP161FJZgaZ8eSTlIm4TTGLLZ0mPHQVcz4rmK0I+/dZ/\nRqzAiUERoeRTjqt8XwOzSD1on9T7rRJUpjzUILJxmamf2JKLuyiHmeJcgV4Rk6IjsGKY+cvkxbJ5\nynSYuMckpHyHDGmZZeAjtMpwVREjsijnUcwIh03mZfoSzahfuPq5bZ4stY8KLZ2wbB2ONliTteVj\nDeqJkiclH7UeokNOeRZjntAy3S8TQZniGlxWYBkLsF/4eK9ovkFZei5MZs+tYIMPVw2T02jbtBlI\nSnDpefXfqNjSywbJbzIOTbxVQ/f8V9Rg1PiPy7oxyhXKSKQcZuMc3ajME1g27qJlUk4bNX/5ip5R\nc5UNM8Jho7/MvMaVR0L6elGLbhAN29YZ6dCZTla2AHEGvxgHSlY2YWX7gsdm2ejnNJGOnsdmEfpa\nfjYSclmBealf+BKMTWiVtQaLnNuGGSGoscLkLXDtd5VT1HCk+Qb1UtbFh8ubZTpOn0FdT5S/XAKL\n8pYSV3UY577iUpRxk8hKAcbleoJe75h+LZRnQnTHcNk8+Db+UufUlz48BrLeL0xC2Pe4InkVVLvR\nl2UxIxw22sv0JQ0XyZiWRcsaBChJmaxCCpPbPE9AmAjL5GrXBZaeQlIOvQabyNJ/p0RjG1pUx5iO\ndVl9LgE2TJLSLb88wWSy/rhhPY98TMeWAJ+ReIaJgUsY+eTxabuufIPiL1Obd30co8MksPShfFN+\nlWycZRJZ+jIUwooHAGesS2SxlGe8whKI6Rj0rxL1azYJQ1cMqjpOHWuaksYmsExDhqo8fTkMDFJo\n5XFVxWFeGP3XhWUamo/AyiPBQTRwagHS81Cr0HSsSXS4BJZaur7KsVmFSmSZxB+9h6avcfTfXW52\n2zGU3HyFl0tY+TxzH5TxYlFS0tuDDp962Y71RDIjVuBYYXqOPoaf7RhTH/fJN0ixZRsq0nnLdg7T\ncButq8mQzPNk1dHLWxHAu0SWEFip5NUgBZAyIOVgKcATgNFYK2h1o3XP+3oR2vE+okr/XRdYJpFF\n18sgTwwPSmjpeWzGZUnMCoeN5zJdDybvoZnIJ8+zMagXM30p6sLKJMB0YWUaLgzQ2yEp9LJMYssk\nsqhlSMtQddfPGRuuVSeYCB03u2kOLlomva48QWXaZ6pn3ouqDHwsOiq0bOJSP8aEPoSVjlkhqLGi\njCFo219GYPmKuCKgZZiGCm1eeF1I6Num6/IRWpSvNJHF1TICoAmsNJCVSzmCFGApA085WCzEGKO8\npBuRKpkmPaUCi3KYj9BKSP48bu8HikdsfOLLU7Dk0c9h+61PzAqHjX64sCxh0IbqW5aJtHzPR0GF\nlE1Y2RomFVk+4/f6cTpRWcQVrwOoM6Au10NyTnqNKoUAk3kY52bx45ok0FauTVz5DBfCsu56lr4C\nhhJIHpnYPFpFScjnWA/EIXWV5iHNz1KhOHx4yKfd9iOy+nnhUe+7WprKptylBAvlLlP+PE+W4qs6\nA4/keo0hDYWwEqkjsgIpssSSIwgAMA7GFI9x0b10AaTP+p7HYerabfxFZ4N3DRf2K7IGYJSVPu8A\nuMqGYhw2vfw1uikc8oRQXjkuz4arjEFYhTbigGXdR2SpbRUUb4pxsAktS2wDrwO8zpDWGXidgTcY\neMjAmSyAkT4j/00B4wCLORg4AghyYoqkdKIxBYrS+0SJyfRvKPLiGkzPzPb8s4sx3DMTqJcxDy5x\n5duGhmANJlHRrtsqf7IKHZThNBsH2fKZ1n3PXaZNqf7MtaWpziau8jGUdN7TuIsT45A3GNIoQFqT\nyzBAGjEkLBAiizEkUmSF4AgYR8g4ApYiAEeAVCTGEQQpGHgWII8YYBF6BRbQfa0mEZXHZTaRpZdZ\nFDZO8xE76jnaRJKLu3y5aiDe+CIcNr38Nf5/q+MjekzEQ7fzRJYrv4/IU8gTWEBvPJatTOqdclm8\nJrd7jzUoBFbaCJDUA6R1QVJSSnXElqwA43IJIAgFOYWSqEJAiDCdYGKYJzg1PZM8y89GUAnsz8v2\n/PI6vEv0Fn0pFRFa+v2h6/qyBJJwRqJGJwm+/GUSRy4OA/nNV5DlrftCfynbRBbQ/R8hTAaiPlxG\n62/xxHPlfW8AaR2IowBJFCKJQsRhiCQMkTCGlAVIggApk54scIQ8RchSBAFHyBJESBCyBGGQIApS\nBBwiVisBmPqfhKb/hKHqWXRo0GY0ukYlfOHjZdfrbhpVySvf9I7J4yoTp5XErHBY0TGHYshraDYy\nspGN64XrSq48pg5hEwqmjmda9wmOtHVQUz2o58sU1yDd7bwuBFZcD9BuhGjXQ7TrEVqNCK16DU2Z\nWvUaWo0I7XqU5UnqAZJGILxgJAi1a3JABjNJ2e5fEQsw7x77WM9FnrGrbfi0uSLHU5QlYAAJwkKp\nQp9wCSfffK52afOA5LVVkzDoJ+X9U/i8eCSTJwvo5i5dYEmRldaBpM6Q1AO0ayGaUQ3NqI6VsIGV\ncA7L4RyWg3kssTVYYmvEtkwrYQPNqI5mrYZ2LUSSGZuSE+mUNrZhQtt9pFzk80+jB/U8bPxF24Kp\n7bh4z9Y+9aUOX04rgGHy18LCAm655RZs2bIFt956KxYXF435jh49im3btuHSSy/F448/nu3/u7/7\nO1x++eUIwxD/9m//1nXMD3/4Q7zrXe/CZZddhne84x1oNpvOugxXZOmgD8j0u89xtAyfMvNevkVJ\nyEcI2LZtHh1Tp9Dh5ckC0gaTYkkIrFZDCawITZJaSnw1IrQbIeJ6KLxfMqaLfu1j/Vc99Fn4CEub\nK96X3AZBVD6E4WpveSLJt02XQIywUKowQNiEtymfjxDPE1tl+MtHLJnEgo94yOM6el90z5fkLq5x\nVya0GgxxLUC7FqFVq2ElqmM5anQEVjCHpWA+S8uBFFpRAytRHa1ahHYtRFwLkDSYNDq1c5g4jD6r\nPPFZ5N6WOaYMf7nEVd7xIOsUAxZWOobJX08++SS2bNmCl19+GRdddBGeeuopY7777rsPBw8exHPP\nPYcnnngCr732GgDgiiuuwFe/+lVcf/31Pcd8+MMfxh//8R/jP/7jP/D888+jVqs56zL+f6tDX2C2\nPCa17SvcXA2r6EsW6PYsqaVtuDBPFOqdS+8MtE6WAFI9riGtMyS1AEktlEQVIQ5DcDDICAVwWTm1\nJ5B7I5YAKQPjQMBTpEjFPDRymJDpVmCRSUuLErRKtEwYlvTemJ4hdXP3i36HCylKklYyKzP5TRJ8\nuEr95hJYMKzb8tnq4FtmTlUB9PJZIOI0e86he7AVDyToBL+7vFmUvyKARwxpBBGDVQPiWoh2EKEZ\n1NAM6mgGDbRYHYl80YplJEO7YkRM+DkixIhZKIYSGcACjiAV/BVEACKxZCG3z6OlpzIiSiaeGJ5B\nzgNgpg2d03yHAF08Yxruo78ZK2QpfwCcOkwOO3HiBB588EE0Gg3s3bsXn/70p3vynDt3DgAyIXXz\nzTfj+PHj2LNnD7Zu3Wos97/+67/AGMNtt90GANi0aVNuXSaXqU2E5iOSaIP2EVc28nSRKh0zdwkO\nlfTYK3Wcy5NDz6eTmyQprgWNxvWw42oP6miyGmJEUmQFmawCOkHuam8NMXjQAo8YwMXvSCEC4msA\n2g6S0q/Zx6r28UbR++h6DqYO74qHMm3biMYVu0AxKCHngWoIcIJgMqJsfAPL77Zj884hEzeUx7X8\nXc2V/M7oiz0FmDYdAqP//1QH9bBTo5EKLZmPhwxpGCAOA8SBWLaDGlbYHFbYHJbZHFYwhxZqUkZF\nUmiJV1Yo90Ty1zpaSBAiZSJuS0z5ECIMU0RhiihIwcJUcJhuJFLeolwVO5LMw+X1cpnodatnk90+\n1r3N9W0ieJnOTyauou+hIlzlElo07xAwTA47efJkJpS2bt2KEydOOPMAwPbt23Hs2DHs2bPHWu4/\n/uM/YtOmTbjpppvAOcedd96J22+/3VmXyRRZpoftK5SKkpmL0FwvdwVKUHr5KXqH+PSyGPyGDE3u\ndulyTyMmLME6RBxWFKEVCpG1gjm0EWXiSgktAJrAEl/mxKwNHjKAC09WyBKwNAWLGYI2RxAJgcWo\nJ4veL9cQYN5QqX79+n30uf/0WXCyboq/sIkv0zl8zm8iviGhElkTApORl8dTRfKazmMSWGpdy6te\n7mpf11IvU7Z99ZJnusdJlstsBojKp5YmLoMhf8iQhAHiMEI7DNEKIrSCGpbZHJbZPJYhUgv1TE6p\nBPBMXKnUQFMILATggeAxHrRQCxIgiBGEQBim7vn9KE/F2rItExFaPNHElVqnz4LwghK12f023FeV\nh6t1PbmCfHy4inKj69hBjwRocHHYsSNNHD/i/qLwpptuws9+9rOe/Y888gg4t92E/rCysoJjx47h\n2LFjWLNmDW6++WZce+21uPjii63HTKbIUihLXKZjfcsyLU11oqCiQwks0zl0y9Dm2XEJLTlc2BFY\nDEmdCZEVRGiFdawEDSyzObRRk+JK92QhE1fql4RFYIH4yjBkCaKwDcYDhG0O1AAWAUwKrdyJSG3i\nyif+wCayTPebPg867GEiCCqoTGLLdj4fQhoRmqiP7mQVzCgjsFAgr4mHdEGgBJb0/GaiipN1eZxt\nCe1FziC9WFJYBaqv07autvXwBdqv9esg/MVDCE9WEKIV1NAMaoKzoILb57HM1qCJBmJEaCNCjJom\nstSWSG1Wg25EMsaBkAFhGywEwpAjChkQcrtBrPOwLrDyvFmaFytL6h5r198lqsiSMZmNda+DEaGl\nvuh0cVYeV5mMUNdvQxJaLg7bsbuOHbs72194qDdw/fDhw9bjv/jFL+L06dPYsWMHTp8+jZ07d/bk\n2blzJx544IFs+9SpU3jve9/rrPNv/MZv4IYbbsAll1wCAPid3/kdPPvss9i3b5/1mMkTWS6h4yIj\nF9HZ1n0J0VQ/fZ16s6jA0rd18a7ymoSW6fy6VywSk/alNSCpKZEVosUiNFkNTdbACptDC3VNZIkk\niurem7AQQZAiZDEi3kaNBwg4E8HvTRnboEjKNMEpJas8gWUiZJPIMt1nug6y3+ZdtG2b1m1lm0Qd\nJaIhEBJFFZM1YfDhJZqP5vU5FugILK3f6C91jl7B1bWf5NE9WIwBLO2IKx4SL5YOht45+0z9Ws+v\nyg0Y0kB5smpoBg2sBHNCZGEeS2wtlrAGK5iTIquWiS0GSJHVzkRWjEjzFEkvvRzyDEOONEwEfxX1\nZKmkPFl0vxJV0ouVpt33PBOzkPdWv9cgXipAuwYpriDvFxPX0vUucXGMi6tMv9uOHSKPDZPDdu3a\nhUOHDuGzn/0sDh06hGuuuaYnz8aNGwGILwy3bNmCw4cP45Of/GRPPt0rtm3bNrz00kt4/fXXUa/X\n8c///M/46Ec/6qzLZDC17WHrv5ssqTKiy5TPdbylrlzPY/OgyA6Rud9p+QyduVtsHh5aF1kW1+Ia\nkihAHIVoRRGaqGMFwiI8j7VoopErskIkIqCUpQiYCi9tI0g4ECZgEZCGKYKQi45u8tpRkai723Vi\nMoiszBrXl/R5yWtn9F5TmMQfc+Tnhrx6WbQdUHJ21cVU5oBQDReOCSYeotu2PL5c5eIv9eLW+EF5\nTqiAouLKtA0YRBYTvwXqfFogPNPqwYBugaX3b1fwezZcGCIOIrRkkPsKmxMCC2twHmuxiLVYwXwm\nslRi4JnIUknEnsrrUNwWpAiDFLUgQRoE4h8SK0+8/mxcw4RKYMUA1ziMq2UihJWenCJLE1embcUV\nmfdKez4cmtDK81757DMZhCZOM+UZAKcNk8Puvvtu3HHHHbjssstw5ZVX4jOf+QwA4NVXX8VHP/pR\nfPOb3wQAPPbYY9i3bx/a7Tb279+PzZs3AwC++tWvYv/+/XjttdewZ88e7NixA//wD/+AIAjwyCOP\n4LrrrsOGDRvwoQ99CL/yK7/irAvjQxq8ZIyB/6bhB07W88SQLZ8r0XxFy9DOzR3bPXdOdoRMDGgC\ni2lu9Ww9AtAgaQ7APElrAWzQ0kYgWR+gvS5Ea12E1roI7fURlutzeAPrsYD1WMAGLGA9VjCXyalE\nTjUKACGSLpE1h5XsyPWylPlmE/XFGLXFGPWFGPXFBMFCCrwB4ByABbk8D2CZpKYhacSkSE29LJTQ\n4ml2K3sIQichKrZ6gnf1dVNy5c071lUGXZrW0b3O/gWFYggYY/g3vs07PwBcyU57n2NhYQF33HEH\nXnzxRVx55ZV4+umnsW7dup58R48exb59+xDHMfbv3497770XgJhj5sCBA/jBD36AkydP4sorr8yO\n+eEPf4iPfvSjePXVV9FoNHDy5Ek0Go1C1zIKMMbAr9J22DipiGjyzes6Vr3EdYHFDQlimZqElrYu\nLrbzIlfcFTDhzcqWAUTIQAj5pR7EBzFzABoAk0usAbBOprVyuQHABQA2yeUFQHt9hMX5NVk6PzeP\nxdrajIEWsB6LWI9lzHcJrDbE5/I1snceS9pRC1iHBaxrn8e65SWZlrF2ZQm1N2LgLDrpdQgeWyRp\nGcAKwJtiiSbA20JcpVJkdQksroks7fll67qYUkttPbAJMJWkcZt9kODiKbrflM/3WFd5qu38azH+\nAopzWBH+mjSM/n8X2pZ0n295gxZYWl5TACM3/Waodk+nkBYISyH+kamy8gKSQogpGQzj/tQiTFiI\nmEVosxqaqGMZc9IKXCel0gYsYz4TV7rIUuJKLeexLItOEcp4h0CyQwAgZSl4kHQ6F4f7S5y2IcUd\ngcXVlzmGl0bXfdSWXbEJ2n3o+o2jmwxsMFl0pt9oRXyg6pBXfh/W4DDnvlJzzPzt3/4t/uzP/gxP\nPfUU7r///p58ao6Ziy++GO95z3tw++23Y/PmzdkcM6Y4hQ9/+MP42Mc+httuuw2vv/567hwzYwVt\nA2U4ylRmGYGl8Y/eZ7qWnAgrLmlD7UNHZCnu0kWALgYCJjxZAYP4H4GB3JbnCmQMuTIaeSiEl5G3\nKHeFAA8ZkkDxV118USi974q/FrABS1iDFmpoo54tAWhbLdTQQlu+ykTUaZJxWJ3FiIM2krApLkaF\nOqjrpiENelC75DEu+SttC4GVSqGVJB3PVSa0dPGqzgGIGDd07i9jctRS8hbX1jPBJQUuIJ5x5sUC\n4UGKQfOZDtJW+ukLszJ/3+hEVlGBlffwaF5TebbfVKLBmYZ8XFv2BJY6CEtZHwFDJqBYQDqLLrKU\nK1sJFF1oGUQWD+S/mmAR2qijiQZWMI8lrMWiJKlz2IglrIE+cy71ZKlfWqhn2zX5SXSIBAEDIsZR\nCxJwFpsJigaDtmEWWsqTpX+JI1OqvSy6LD901sHMpGS0vLRnkSX6VQ4VQiDbnOzPIyZTflN5dFkC\nszLHzFjRj5iylecrsAzH0GF1XWCp/qNe8l1LEI+WSoq/ZFvMTss0ccU6KeQiRVwaixDCiocQ/7aG\n9POuoUMFfQqHIBDDhaihiQaWsAZLWINFrJX8tQHnsVZKqU4CQPa0EMthxABpNpRYZ200WBtt1uwM\nF+rTz6j7aeIxeS1cW/K2EFZJAiSxFFmcJFUutK7NO8KKaesppKACMiMxYGI9YJ33hHqXMBWPpQx1\n7Xl1tRftmQKWbXpcGfTZP2YlrnQ8V2kSVpRcipRlW7oEVl4Cur7g6Rln10lLE1xKiAWaWzfQPFUs\nhbDkUtHhMoHVRjb/lWkulh6RJf+fV8witJggqY4na20mss5jLUz/ooD+44I2alkQaR0tzGEFdSYi\nHWosQcqC7oBRl8iyCC2uCcYsWJR3xzKkmqXWJaxgEVSsk6eLPE2Wnql95ZGRTXTZYCKyQZMb8uMZ\nXjyygBePLJQqe5LmmJkIDEJsmdqUTXShd58usHQPViam0m6hpYat9Jd/j8hSp+DdpwOksELHqxWy\nTh2YSoDwZKl/+KzElsmLpffJEOBBx5PVYmK6mWUZj7WoeeIXsU7KqIZBZDWzX2KECNCZM0twWBNt\ntoI4iJAEoZiihnIYR69HXnGV5tHimicrSYBYpkQXsvJ+K+gUxKAJLO2+KqGlgty5NMx5IEQupJgK\npLCCZqRnQitPTNHfihiOJtDzlcSsxJWOZ7iQbvuSmIuQ6JKSGk000FoTStm67obX1k1xDlRkpdLF\nzhmQBh3RpSwS9Zl0Fq+llurfTZi8WaRxp0yFqOuerDUZQZ3FBTiPtYh5JKQU757ML1QzJjPxdY6K\nb5jDCtZgCQ20UGMJYtZGwgLwbPIW7d6ZxJUSVS10rMEWuuaUyb7GoS8GeY09IktZekC3B4sG4ivR\npeqpi69UW9fh8mLRJc2XB9PxMGwXRB5BvWP3BXjH7guy7UMP/a+u36dljpmxoigv2fYVEVh0nXwY\nknmuaN/RjBV92Eq9+DOh5ZEAOTSITvcJmXa84jsGBDEQtIXQCpSxqBtZSrhQoRUAaSAmIG3pw4Vc\neuL5BpzDRizy9WjxelcCgDpraamJhIXCg8WEyGqwJuaxghZbRswi4cnSlaO6x3SYUPFXS4iqTFy1\nhfeqLcVVO9VEVudRdcWkO2xCcQu4FFTyngZMPl9NYEG9R6C9U6jQcokq2v5cQsvEUYCbp/qgikpk\njRs2kWT6nR5nIzKHwOKGJR3GUl/x6DEPmdDS9gOiEwTK1cvluhJZTPs96ASWgkmrUIks6n7XvFmc\nMSQsQMxCGZPV+aJwEetwjm/EWVyABb5eiKs0EmIrlZ6sQP5bikCIrZgJkdVgTazBEpYxjzk0UUeM\nObTkMKMmsqgXSxKTSlwnqZZckhgs3RLXhzyAjuuccU1kAUjVfnSEahDA6u1iQIf59E+gTdCtQBOx\n6C+KPGIbMvolqGmZY2bi4OKlPJ5yvZAsossU5J5qfSgTV9yQ0FkqnWMSWnQf0Gu/hBCCIkmF7ZcA\niBgQxkAYAlFb9scIggN0/jIILR4wEVOKSEw3gzks8TU4n67DIl+PN9INOJdegMV0PdpxDe24hjgR\nSzCgHbbRitqIwjZqURtpECEKYtSCNhpBUxqKy2ihgZhFSFioWW4wCyzKXy0gbneGBjNxxUVqw/gq\nye4fvYd0X3bPpWDlUthmhWhCS42IpMq7RWO0qBdfh43LbMYlLNt5ZRZEJbLGCW5Y5q2byvARWJqH\nKiM1g8DSP81Vrnc9mJS641mKrhc/Y5roUl/tSMsklL0v0EWW/Fc2VpEF8aFyjEg6zhuZu32Bi6HC\n17EJb/ANSNIQSRIhTiIkiZhPJgxiRKH495tRECNhIRpoYp4vYy07j3VYxBosYw4txIiQsiD79w/Z\n/bMFuUuS4i0gaQFJWySe9MaOmL54ylzruucKnYBQrvZJgcWV0OIdEWscSkzhJ7RMbSmPkPR9IxBa\nwwwanaQ5ZiYKPrxk2nbxlC2vxkOmZdcXbZqwStAtskwzwpiEARVaJmEQcZGSVDrcE6DWBmpBp68i\nREdkuWJKGROeeFZDC2q4cA3O87VYSNbjjWQjziWbsNBeh6QVIWlFiJtiCQaE9RhRPc6WSS1ELWyh\nEQoP1ppwCStsCU1WFxOVskAMtzFy0QYPFpqSu9pCZLWVByvtFlkx771v+r2jAiswLLOQXO3d0eVI\nJqQ5X74AACAASURBVAaiElrMJLTUiXQU9UL5CK0B8VwV+D4u+BJZUdIyMQp1xXN0Cysitqgbviuw\nVBWpEQnTlnS4S4msSBsqDJTJWIPo7M7gd6YNF9bkcOFc5m5/Axtwll+Ac3yjEFhxlC0BIIri7P9/\nhSxGygPMs2WsxXmc52uxwubQRANtrAh3O8Q/ms7ur+7JIgJLpVSKrFhahGnSe//o107q+pQXS48L\nSeX96woSRfdSCS0lyITVjK6g0a5Zk13Dh7RNmfJR0TUioTXMoNFJmmNmYlBGYPmUyQ3bvJuXeoLc\nqcCSSzV0Raery8RXpzjnUm/SqhkHsowkBRImxFYNAE8A1hb9LQLEH92TpU3aSUVWwgK0WYSWCnVQ\nnqxkPd5ob8DZ+AIsttYjXQ6QLocirYgXczCfiDSXIOAJEh5iriYFFlvC2uC8/N+H4t/yJCwU4Q7q\ngvQbREWWZiDGMdCKgaaKw9IElros+ihdokpfhkDmxeoqQ29HBgMx0LZzg+GpYHKBchkM2wPkuSrw\nfRLgElgmEnOQVq7A0j1VhMy63PLoiKtsHb1EpddDhTJllovs66F80euCIRNZLk8WU+fSPFmsM1y4\ngPU4x4Un6yy/QAwVJjUk7QhxW4osHiNEGxGLEfEYHAxr+XmsZwvYiHNYxjyaMtg0Vl8l6jFZpuFC\n4slKdWuwJQia3jOAWG5AFq+gW3u6wOoKEuWdpaqiygeG7tgFRUi0jegnVvvKCq0RYZiu9vXr1+OZ\nZ57p2f+2t70tE1gAcMMNN+D06dM9+d7//vfj/e9/v7HsW2+9FbfeeuvgKjsOuHgJlt9MZVjKcwa5\nWwQW9WQlmrCi3iydq0zbpuYcQAiLCEJghUyUi3bnex3O0fFk6d4s+pUhgzZcWENTBr4LkbUWC/F6\nvBFvxLnWBVhcWQ++FIAvMuB8AH5eWEVsbQrEKVjKwYIUKQvFfzuUAmsJi0JksQZiVkOqRJZ+z3WB\nFWt11jxZ7bYUWTHQkvc1RkdkmahE5y3qsdK31e3Kvlon7UNpQp4CqS60FDdKXnMGw/sKK5XXZhwM\ngeeq4cJhwdfCo9smwrKRmElckcT1dTokmENkerwDJavUVB1NMHRZMlIg6J4sJkUWq2lLg9DiYEjk\n9zRt1NDkDazwOSwn81hK1mApWYvz6Tqcl+72uBUhaUt3O4S7XXe516I2zgdrsRSuwXI4j5VQebLE\nv7NI5KxZ2QWTWCze6l4m0nulSKqVCJFFydykZygxBZBiikme4VqQqBqm0INEFfkAnSBR+ayYqoAe\nwwCyTq01vWL0GH2/+s2H2PokqlkhqImCjWdMeYpwmPZ7Fy9pSz1usWeonXCS8mjpAot+pEw5y8Zf\naj1AJy4rhuCulIu+FSYiPisCxESl0thiMhk98RAz8glPlhBZK3wey/EaLLfWYHlFpvNrgAXWSW9I\n5bHCgTaXY3YcURJjeW4NlrEGy8E8lvl85slqS/5yGYlqigbI+FGdu5oJsJJKkaVdji6y9O5s5C90\ni6sUnf+w1kUxckOf7gGQ/Cefb8Zz6Lxb1LKL5/TC8zgN5He635a3D8wKhw1XZJl666DKzRNc3LBf\n7qNEphqrTmImYWUiL1syXbYusJS7OOUQAeFtkTdhgqj0xJroDiJNAc4ZUq48WXK4MJlDa6WB9koD\n7ZU64pU6kmYNSTNE2ozAWyF4S6gLXg/BGxxJHUCDIW7U0J6roz3XQHO+gZW5jshKeISUB+Ap63Wx\nNwHeBFI9SYHVlOKqlYoJ323DEureKNjIKURHbPWQR6oVorvVmSQgSiB5JETJxlbZftBHn5iVeIZV\nC5Po0pYmgaVzlSvInYooXWDZeIvu16sJdPhK/RewSObLpnOQ8xSnbSBsA4FMYRtgLfR8acgBJAgQ\nc+3r6LSBVquOeKmGdCEEXwyEqFL/YeINmQBgI8R/mlgCsMzA1wdI1guPfYvV0aw30AwaaEkjMUXQ\n4X3igVdDg6mMHU0ld62kMnEx6XtLuwQ9ll/dH4UuvkIvh3H0RikwklLeEVrZg2DSYy85jWtLpi2t\nXKaVMwmYFQ4bncjSt8u8XCgpmUSULZ8lL9f204D3LmFFRJaLtBLDKXUwbRkqMZd0OkwKIIqAUE7l\nwJTIUkSlxTekPBQkxQVJNdM5NFcaaC3U0X6jjnihhvh8DWkzAG+G4M0AaIoa8EaAtBEBcwy8ESBe\nU0d7QwOt9XW02ByaNSGyWryOmEdIeYjMlaR/TdgE+IoQV0kTiOWy3RJE1UyAJhdJN2Rd98UmsBQ5\nhbxTRs9sA1JQ6cJZ/S82tT8jLpPYclXQVukisJFfQcxKPMOqgQcvdX3hDGIAknyZ2IImstArsEwe\nLdt+09yhevPU/xe0svcY7wgscCCNxZeGtTYQtYCg1fFs6SfnvPvDnRXMYSWdQ6tZR3w+QnIuBH+d\nAWeZ+Pc359RSVuY8gCXW+fc3rQBJKufdqjewks5hJZD8BcFfvBNnkc2HBRLWEMciKZG1nALLXJym\njd57pUBFVoiOt0pxl0pqWx1nSylHFs9LRbbyXuntgxmWXQ/R5cUaA2aFw0Yrsmz7ipZJRRMt27Qk\nqYvItJTFPehiC71kFHMzcekk5RJbgOyIqUagiTwmEolFEHPPKJGle7JShoQHiHmoebIaUmQ10P5F\nHfGZOpKFGvhKAL7CwFcY0JSerDkgnWPgDQY2xxFvqCOOxdR+zXoDK2uFJaiGC1MedGJFlCWoRFYT\nSFeEwIqbQLsJtNqCpJoqoZuUFHRxpTuidCswIykuv8TU76m6ybIAJqvIgu6XUya0+vFimfb3Q1R9\n9IVZcbWvOpj4S9vnElg9XAVNaMkidMFlMghNXKUPgdFRPb170X6ZiaxUdr8U2b+fUcOFIf3SUIU7\ncIaEi09vWryGFTTQVJ6s8zWk50LwMwFwhon/L/g6hOB6XVZmiQn1s8LkHHwMaRCiXa+htbaOlXQO\nTcyhrQLfEUBYsuSitWlm4rbgrVYbWIll8cqTxTsii/I80Gsk6t56jm4eA7q7fo/AkjyVcZl8AMpb\nRb1XWfC8iedsfAft9zFhVjhs9CKrn3Js4klfdyVybJd1AHT9KwpbMKk+Hk+tP53APE4vYrIU6ejK\nLBQCK4zEOnRPljxhNlxIPFmtlTm03migfaaO+Gd1JGdr4MtM+LuXGfiKPM98CD7HgflQiKyluvj3\nFbUGmuukV4xJdzsPpcjShgt1T1az48lqN4FWU3qxuDjtChfrCbrJSC1pUgSuCL3rnnIYm1VWHpfk\no72kFNEoazs7wNWuTEOSIPmo6PLFAPrFrBDUqoCNtyz8RUMYevahl6uUdrAlG1fRGCM6DKZXkXqX\nE71PqUwhwOPOUKGKczLFZaVyuLCVDRcKT1b7fA3J2RB4LQD+SwqrMxDLX0CKLAivfBNAi4PzAEk9\nRLymhtbGOpppAytQ/CWNRGg3RJsbqyvIXQqslbjDXSsQSRdZ+rCqbiCqYVX6DggNS5U/gYEHuebR\nUoIKve1AF1pGnnPxXVn+GhBmhcPG768zSXu1bVMnNL9PPgux6WRmDCblkox4NzHp89iZLEaTyKIp\nIHVXrmGmSKoJpKFYdn1pKHt4yjuB7y3U0UzraDXFEGFytobk5yHSM6FgCulWx4o4GZ9jwDwD5gA+\nHyCJQ8RzEeL1NbSbsqywjph3YrJosKgustRUDa22NkyITlqR1Xa5x1VS4konI3V/1DLRnq0eJKo/\nOyW2MuIp4sWi7bGItwvaviER2azEM0w1ivCXbR96RRd90eYJLNvQYJdnXksm/gJ6v5BLgWxm+GyZ\nAEEMRLEYMuS6J0v/cEeLKRX81UArraPdqiFZCkVM1i8YcIYDv+DA6ynwulxnQPb5cCo8VDwKkK4L\nEW+M0G7VhFcMdRFTKr+O5sqTpS5a/WeKthjmjOV8WM1EeN+VuFJJn4nCJLIyUUQepQl6Xn2pzy6j\nCy6OjpjKnr3yWtn4yOTNcvHXiMXWrHDYeL8upAJIX7cQTk9ZvvnkkpIVtHUjkWlJJywbsemWYEqW\ndF0PgtfrylJJVG0hYLg2XMgkWfGUIU1lHAKP0OY1tNO6+IpwKUR6jgmSeo1LlxKX43byZjQYsByI\n5RzE5IAbAyRLIeJWhHYqCCrmERIeIk1l4LtkZK55stKmtARlkPsKOsJKrTfR6ceMXDslbwUTeaml\nEmGUcLLnqj1LRVK6KMsVQHkCSs9HiYzC9FufhDYr8QxTCV9eKlKciaPgTpSb6D4axK0LLspXQHe/\n1WcUUENhITr/QLqeCOHCbf9iByImK82+kBYcFrcjJMsh+EIAfpYJYfVGGzjfBpalq4kxYDkCFmtA\nKD/BngPSxQDpSoC4HSHmNcTyo51EeuK7Lkr/eEeKrCQRk43K73n0Kf8yZxzldHpfbB56HS5OU9vG\nZ0rF1iCEkYm/RiS2ZoXDxve/C30Elm3dVG5ePtJie6xBB4m5hJXeZ2nMgynpZShBobdpBjF/VhTL\nL12CjshictZ0lgBIGXgaiLgGLr4wbKc1xMoSfCMQrvUzEMKqJc2zlrS/GgFQV0sGhEC6WYisdjtC\nO611pm/gAVI1VJh2iJMrkaWma4jll4S8V2C10OnLtjlkdOGk7gUlJH34UBdpec9Td6X3xCzQdgLk\nk45NhOltz1VGnwQ5K672qYYvf+UU0VWcQ1z5eLNsAot6sihfcfQaRim6g+HVfFlxCjEnnvxquseT\nlar+qeKyxHxZcVpD0hYTjqaLTAS5n02BxTawuAIsrwCtZdF5V+aAaE72sRB8noEvMiTLIZJ2iHYa\noc0jOcefmkiZdd8AxWMxxL/OSUWsbYt3iyvFYfpop7ovVHjajES67cVphuebeeuZ1iZQAjb+GiFm\nhcPGIyWLCKy8VuSbT/3MtSVJXeILGsHwfIvQRGCuPKrD0MtgXMw7U0vkLOkQIou1BBkwaU6JryBl\n8Lv8J9GttNbxZL0RdDxZbSmu2okQWwBQD8WEp3UAtQC8xsDf6HiyWmk9+7Iw4SG47slS5NlC58tC\nTWRRgaV7sozTMpBtyHtDYxX0+5YRHEdnolKVDCI6E1gM2TAic5EKbUs2oUXhElqusgpiVghqalGA\nl3zKMU7poBVPX/4uw5AGv5sEl8k4pAJBxU3qqQagzsXs6Kk+STGNyeLKkxUi4WLIsJ0qT1YgPFmv\nMzFMuNwGlpaBlfNAa1GcPYwlEYRA3ADmpSdrOUTcll4x1JCoOf64NoUDFVnyv1EoTxYVV7oniz5W\nk6EIw71S90v/jYqrlOzvEVraM9fbRGnY+GtEmBUOG53I4oalr8CyNaQeM8+SR2+QlLSAXu+H/hvy\nvVguwkodS+pKViKklgrBogLudU9Wh6zkcKGaxgHdw4Vc92S1ufzHW4kIPADk/0dk4v/61Dh4gyF9\nQ1iCcasmhh+zoNEw82RxnZxaom68JSzBOOn2ZCmC0j1Z9KtB3Rqm2sREPLrll5EQ146lAotrwgro\n+qw5i2cwQe3Xrb1+hJZeBl2WwKwQ1FTCh5cKFtdjPAA9QsuHq0xxpSaPlskwNHlhVH/ORBYnniyT\niyzj2Y6RGEN4npJWJP59ju7JaraB5grQXARa58TZGYA0Atp1oJmCr5GerJVA/GeLzBMfCv4CA2hM\nljYRaRpLiuTdnEWHC+n9NhmMQLeQMt0321ChaZk9a9bdDlTbGIjQyuO5IWBWOIzOiTZ60AbiEku2\nbROpeYiznmB37RAbeZkIzMcN3zYkvTNnAeJcuqul0Gqr+VvaQsikiRA6Ypb6QM6VFWaCKE4CJC2O\ndDkBX4yBhRZwfgU4vwwsLQHLizItiX3nm8BiCzjfRrqcirmu4kC62kVK0m5PVird63GsffaszYlF\nvVj6f9nQ42D1L7vp15omzx8n6/S5dCVNTOuk5BLixnZjW88rK29fnxBDLP6pwojg23ZKlJs1I+0F\nqxsYxn4AM3+ZeIx6uHSHj2lYUU9dDisOMTWN5Crb/BCcB+AIoCYlTdIISRIibckpZ84z4DwHlmOg\n2QTay0C8CCSLYr3ZFL+d58ASwJcDpK0ASSIMzyQTWCLonesXn3RfnJq2J+Gdf5ljujbKVbp2zAsV\n0e+7k7tAnqn2jOmz7wuDbJ8lMEz+WlhYwC233IItW7bg1ltvxeLiojHf0aNHsW3bNlx66aV4/PHH\ns/0PPPAAtm3bhiuvvBIf+9jHsLy83HXcK6+8gnXr1uFzn/tcbl3GL7LGBa41YMML2drgtWQbInQR\nki4wqNjShVY2EV4iUisRnqJEEgJSIE1Z9oVhzCPEPESScqRpAp42gWQJSBaA5A0gfR3gZwD+mkjp\nGSA9CyTngHgBPF4CT5pI0xgJ54jlHDYqaDSVs71zaaWqkUdVv+W0M5+MSVy1DddO743PMKuLlExC\ni9MHuEoghkH8U4XZhIu/iiabODP2V9X3rJ2XybIYeBYAL3gmTRh4zCRRcEl8MZDKz2myGIWO+4m3\nxTE8CZCmqjxdYGnuGaI4uUz6lD0+xl6/99P0jGYJw+SvJ598Elu2bMHLL7+Miy66CE899ZQx3333\n3YeDBw/iueeewxNPPIEzZ84AAG6++WacOnUKL7zwAs6fP48vfelLXcf96Z/+Kfbs2eNVF6fI+s//\n/E+8613vwuWXX47du3dnJ/JViWOFo1Vnm0pcWbL7kI7Nk6XPPUOFBV3XYwCyuVm4FFkpsCJj1ttS\n4AhSYJm7PeEhEqn4hRUZI02a4PF5IF4QQio9C/BfAHhNJP4LIbykyEKyhDRtSZElrQztyxwxRxbL\nRFacCs9VJrA0kUUD3k1Ci3qyqMFLDd9ca08lIpSh7+9uBuZ2MiVIEBZKs4ip5q8BI89gLCrEbN77\nrv+taHPlZH2USW+8FFiKa9LAILLkjKFcRnxm07QnnakYYiBNRBhFyoXQShEgC3p3kHc29Yuhyr4C\ny/f+mZ7HLGKY/HXixAnceeedaDQa2Lt3L44fP96T59w58e8Drr/+elx88cW4+eabcezYMQDATTfd\nhCAIEAQB3vOe9+D555/Pjvva176GSy65BNu3b/eqi1Nk1Wo1fP7zn8epU6fw93//93jwwQexsLDg\nrRLHAlfL5b2bSmy5vtoB2TYNX+UNFdrEFg2y1AXWCvFktZUnS6oPLslEzZwcI0DCOdI0Bk+aQLyk\niSzpycLP0RFZ0pOVLIDH58GTJpI06YgszZMlhgvFuRNZl6YUgEpoKW+WGjLUBZbN/U6Fls167MeT\nZXWrm/ZPCfNVIisfU8lfQ0AZA9J2nI37urz5NqFFFAoHA0cnAD6F5JmEATED2qwTT5qoz5mlJysL\nBE2zQCqeMDG1DWeZFysFE94yrsVkGYSWzZNFeWcQHqxKYAm4+OrlI/8L3z5wMktFcfLkSWzduhUA\nsHXrVpw4ccKZBwC2b9+eiSwdf/VXf4X3ve99AIDFxUV89rOfxYEDB7zr4vTDvfWtb8Vb3/pWAMDm\nzZtx+eWX4+TJkzhx4gQefPDBTCV++tOf9j7hUMHJuqEl66KqY1FpL2X4pzyyoUOG9DeQslK5r8bF\ng4m4DKZMxbQNQSKC4gVxCTJJ00B6seRwIQcSKbJ4wgUR8QUACwAW5TqD/IdfomYpB5IAPGkj5dKT\npYYL0T3be2obLkT3DMlN9HrzIK8xRPf9o4GhasZ3Pdi9iJse6lmy7ufc0z70YE/124g/Yy6LJhrj\nrsLEY+r4awigTV4t+xUEqvuYAulTIBuCs3ZeAOCSw9RwIZdDfXK4MJv+gasIevmPUsHEcCGTnwUy\nLgLY9eFCLnhRfFUYZLxvE1hdE1CT69Ivw3aPTfTiutf02FmEi8P+2+5fxn/b/cvZ9j891Ct+brrp\nJvzsZz/r2f/II4+A9x2wJvDwww9j/fr1+P3f/30AwIEDB/Anf/InWLNmjfc5vAc7f/jDH+LUqVN4\n5zvfiY985CO5KhEADvzPzvru9cDuDb5nmx5wy5Kum7b1/V3cQ4/hZLtrg8lV1vmtayWvS5MzGyrZ\ns4tb9hvgQyKDJhnf+z4uHHkDONLnCNWseqfKohR/afy9e61IFfJh7G9enZBYOMrytRWklF4/SsWH\n7wZX9KrAkUXgyHm5Mca5/g4fPmz97Ytf/CJOnz6NHTt24PTp09i5c2dPnp07d+KBBx7Itk+dOoX3\nvve92fbf/M3f4Nvf/jb+6Z/+Kdt34sQJfOUrX8Gf//mf4+zZswiCAPPz87jnnnusdfESWQsLC/iD\nP/gDfP7zn8e6deu8FdyBi7SNUbQ40+SPlnmKGOsss3/LopbwS/TzXd1LQ/u97qHRJ5urQc6mIJcN\nAHOsk+YZMBfKaa1CIAwAJv+PRRBwBIFwsEaIEbEUIQPCIAILG2DhnPwHiQHAQ4DXAMzJCq3tTiHA\nQoYg4AhZGxETZYZIELIUjHFAnjsMgSgU85jyEEjD7q9y2vLC9eka2tp107l1IrJtmj9Ln/DP6/kw\nban/YELe7wPG7g3A7o2dcz/00+JlVCLLH6X5663axpS6HJhh3ZffXN3CxH96/2UZT6G3E2cV4QiY\nCntPEbIEQZAikNPGsxrENDM8BNIISOsA5sWxQR1gNSAIgIABNYCFHCxMRRksRYgEjKUiyfP1kHco\n6yp5ImBmHtI5m94H033yvZ8jpJ2BYfc6kVTlH+p1JnlhmBy2a9cuHDp0CJ/97Gdx6NAhXHPNNT15\nNm4UJHz06FFs2bIFhw8fxic/+UkAwLPPPotHH30UR48exdzcXHbM0aNHs/WHHnoI69evdwoswOPr\nwna7jQ984AP44Ac/iFtuuQWAUICnT58GAKtKHBtyXqbGBq6EFuwdgoorm9Ci4oGmGrqFlZoPtA4i\nsAJgPgDWhEJkNUKgJgUOkz2fKTKRgihCgpAxBFJkIVoLROuBcCMQbALYmwBsFoldKPaFG4FoPVi0\nBixsIAhChAzym45YEB9LwYIULAACKfRqgajTvEyqvqr+De26TNes3w+1TonaNDN8oZcDea5e7WRK\nWK+KyfLD1PHXEFBWVNl+0/sknfcuBBBKscIYEVqEPJn0v3dC1KUgCjhYyEXcRJ2JufzCGhA0IIzE\neYA1gDAS1l5NiqyIgwVKuCVa2DsXRqLpQmRiUqspkWUy9Cj3l00g67OKYfLX3XffjVdeeQWXXXYZ\nfvrTn+Kuu+4CALz66qtdXwU+9thj2LdvH2688Ubcc8892Lx5MwDg3nvvxeLiIm688Ubs2LEjV0i5\n4PRkcc5x55134u1vfzs+9rGPZft9VOLYYWIK3v1T1tm5vRO4hJYt0Yk1oR2je7KAjggxCa15KVzm\nQ8kzmieLBYI4wh6RBQRBiCBogIVrgCgCkjrkf4KGiJYCwOYEaYUNIJwDwjaCoI0wWOmILKaJLMaB\ngGeerJoUe2EoHGUxZAwqE/N8cXQISQedvNDm0bIZwLkvA4YucQXAT2xNGetVc1/lY6r5a8DwEVC2\n/YyUo5ZUXAXoCJVMYFGyVJzLAMY4GOt4nQLpyWJhChZxSY5MEA0igNeBdE4UENSF8IrCzFpjERCE\nHEGQImQd4RYoN6Sp8kpkyTrRiUX1pJyZ2qvE+/7lia5ZxDA5bP369XjmmWd69r/tbW/DN7/5zWz7\nhhtuyAwuHS+//HLuOZTXKw9OT9a//Mu/4Omnn8Z3vvMd7NixAzt27MCzzz5rVYnTBNNwEn1B5yVf\nL5bNk6N7shoyzaEjsOakwOoaLpTubQQQw4WSoCIWI2IJwoB4skLlyboAYG8C2GaAvRldnqxQ92RF\nCBnrDBdKkRUE2nBhIOrSkHWbD7u9WHPo9mSZvFkmLx910+eJLeQ8H2jPNsu8SlDNk5WP1cxfvuhH\nANBjTF5lEwcqsWUTWCKpiRXI94UBRxByIbLUcGEUdnuy2JwUWZH8jxUMrCaHGEMh2uQ/7JHeMenJ\nArkQua6GNnVPlo1/fD1ZtvtNn4lpe1YwK/zlrP11112HNDV/U2FSiaWgmwVqGzC7gmg+7vjN45xU\naOURTKqtq23dylFEQ09Fy1D5GLoFVh1Ag4lUD4B6BNQioCatNBZqKYC0AoXAqqGNGosRhSnCOkMw\nH4KtjYB1DaAdAnEkp4+vizPXIuHlUsu1CYK5EGEdiKJUlKUmhmBJ5sZHCASRqE8QiTCvOBJe/QaE\nF2sOHYuPPk7dSjQt88jNewiRimaX0LKxIc1Pj3WVlbevT8zyEKAvRsJfFDZeohxVolzdeFCOGRVH\nqnbbEuUvnbtMSb8coLs/q2QKhYgghwsDIAgFT/QGbMmyWUdchSxGGCQIwwSsnoLNc7A1HFjDgFYk\nRBXmgXSdOLg2DzTqQCMShLkWCOZSBPUUQSS98Mo7lgktdJOHVi8WiDqHDIhY9zW15bp6hHpi6OUx\nmyes6NBj9kyZRh+se39fcHHbCDArHOb0ZA0U9CVnUzN02/WCMpkDlhccI+Vl3isYxJaekG/BmTqW\nzZv1/7P39kFyFPf9/7tndvdOz0iAhRNZAtmKHjAPEpZOKDzIgECBckQZqlyk5KQAq4SILTlYxEX8\nkCM/gwtsApjwIMfG5ZjCqVRSKQjYwMlGCDtfPWDAsWURY1kKT8ZGgMRJurt9mP79MdO7vb3dPT2z\nO3e7t59X1dzMzfb09Mz0vOfdn+mZkW8NygarGsVCaLDyuajxVgBYD8BEOEiIVtTx3WdBzWR5JeQK\nZfgTK2BTA2AGgOMBHM+A6R4wPQccJwYfmOEBMxhwAgObzsGmBvAnVpArlJFnJeRRCsXKq9QiWXKo\nLiqb11OL3Be8UPPEtsjbFxfVUqOB8j7V7X/VUMnHtu54wl4HjHXLRYSs6mjIQx2nIMs+We30SYqO\nRKdLTWan1meTVJr0SZ1nu10fp1m6oXp+s6hrg2yy6nQLtXNUdHdAGXmEmuPny/AnVOBN5sBxCHVr\nSh6YNAHonQQUpoXDhMnApF5gah44zgObxsEmc3i9AXL5MnJeCTmUkKsaLY5qvxBlI1k+bDD6gdAp\nqQAAIABJREFUYVBMu21qZF7u5qH2M9VpmSkqr9M0o8Yp9UAc/6bql6vOZUC39CkdPZMlk8Zo2fJy\nSYdahZQvuvIFue4CHQ2if4GtVaITr7QGS0Sx8j6QiyLkLDrDmTiTq+HtWn+sPEooeMWqyfKmBmAz\nOHACA473QkM13Qem5UOTNT0yWcd7YT/44zk8YbLyJeS9IvIsMlnVju+8unEsHxo/1oNq94h8Liy7\nzmDZbh+q4mRrDaoXC3Fs6qqBzmhJprpqsOIqS1y9cjVY6nQLyPLbhe30SYqOJYEuueSj7dIgaZV8\nDsSZK5vZ0t3Gl89Xk37Vndcs7Nbgqf0j5BYTq31MJ8fKoSESjcTeAGxyAHYcB47zQiM1qTc0VsJk\n9U4CJk8If5vOgOMAb3IAf0IFuXwlaiSK2h91qJd3kNjYal+uqHuXZzdWOoNl6vbg2gXCOcqlalmL\n6lZL6mkKuuXbq6NrsnSOOcnFKe5iZ0unVCY1wmG6MMsipZtm0LdaVNFKFMnywzt4vmRkRCSrGkny\nOJgXmSxNJMsTkawTEEarZvhh9Oq4HDAtMlnT/TDKdTyA6aiZrEIZBa+EAopSvyxe3XjROq2arCiS\nlZciWWJ7TC1A1WQlFSP1WBiPIerHdQbLVk9sdUldNo3BalLQsuyT1U6fpOhoXOtSTBZ12bH6KiYP\nNnMVF8XS6ZYtkmUzIDkvHDwf0WsYUH9SV89VEcmqVPXLz1fgTajAmxJFso5jkcmaUDNZPVIka0oU\nyToujGT5vRX4+TJyXhk5FkWyUAETN/jUWw2aSJYczdI1FNUIluojbZH5OC2r0zTTwFogJSb9GkWo\nT1ZWqAeTa+bJv4lldP0ZWIJ00XqYtD6uGi0oY+WpQw+1vlfytCiC+tpPD4338OXBgxLFghTJErcL\npUiWfCYzL3qKxgtNVoFFkaeqyeJhJIuz6FXsDBiKpoHoBVzRiicwsBm1SFa+UEbek24Xiqd+lEiW\nUCGvAOQqQK4Ult30+lPRJyRuUAWJQS9Gquio/a+0txFVw5PUROnS6QyWbj0tFLK4EPqb236NN7f9\nOlXezXySQo1Q/fM//zM+9alPAah9kmLr1q342te+lqpsHYGrLiXIruF9fgA8ru8rpWpVoIzlc5Ij\nPN903V3V9/2p52MOUl9SMc3qI1na24VeuOZqJCvq+5ljZeSi24XVSNawF2ZQ9oFiT/jtLobwSZtJ\nDJjm1SJZUwJ4E8LbhaK7gx9F4j0W1O8cxUl6flhmEclSP5GmfoGCo/YGeJ1+udwuTGSs5DqgTDeF\nTr9GiU6/DejK2FtEyQAZO69zTTo5PXNIp170IrGqmi9IFdcDWNBoksQL0VVREq9lYGgUMlWoVHET\nHd3Fqxt6cmGH91we8AuhyYJqsqKz0pNagQUU0eOPoNBTRG5yCf5xZXjDFXj5CrgwV0Ms/CoFADYB\nQC8PXznTG8CbXoF/XBm5SSXkC0X0eCNhJCsyWUzsEFmcInVlPYAXmSwelZGrG8trJgtoPK/VC4R8\na8PUV0u8j8cDao+NR0Pd/1DMlc0ImdKY0kFZBso8NV2LiBOoE1cuxIkrF1b/f/Hmx+t+75RPUnQ0\nLroEwzwln6q5EvVZ/M/rTZWuISf0Sq0xpmqpM2JivjzkUet/KTSsx4u6OkQPxjA51CNO4Oo5GiAX\n6VcPQs3JF0q1SPx0Hr4TxhOiLBV8OqoReMwA2PQA3pQKchPLyBfCrhMFFKu3DEXn9zoXJEWy/HxY\n5oIfvlyZVyJDxWtjH42fUJP3o2qydH3+XcyWqSHpoV7jqrpm0qO4ebrfRhEyWa1Ad+CafMJGa5zU\nR9lMY2VZJuUpLsxcGqvFrdNAKcqlthYDNPgLLT4LRanHC1/X0OMBhQKQj15f5ckdmwqoaw0yFr6+\nIcfCVlsPRtDjDaPQO4LClBHkiyPIowh/Ugl82AMfZuDDLGwZstBYsV4O1sPBegPkphaRn1FEYcoI\nenrDvHqYbLRqb32Hj3qT1Qv4FSBXDsUJ5fqdwaIhMOwI9dDpTJZsrKq7gUVGK5que0ePapxN5so0\n6AoWJ2JJaFLUuuWTFOMKVbdUXYrmMek3UY+5bLR4pFGojUUWIrolmyzVYImqXEFj9fZQ/11VuXjq\neZln9S9P7mVATx4o5GuNxMYHdsRKw0hWjpVQQAk9GA4bdj1F5CaV4E8rgxWDcGPFvbteFr7wnSHq\nFM9DkzUdYMdz+NMqyE0soVAootcbRg9q+uVV3/qOWhgu0jBhsvL5WiMR0fcM5e8tltD4PUP1cIrs\nVaOlGqzY6BaT9rmsacpQFyCAo85BMx4DyGS1AvUA2lprcfmoUSuVJFEsIVySOZMjIJwBXqRO1RMt\nQjzKy1goaLKxEtOmyJXOTPR44fumevwwipUvhAYr1yPdKpQjWcJkSU8WFlAMTZYfGqT8lCLyKCKX\nL8KfUkIw4oOPeAhGPHDxLtKeAF5PEEaxeirITywiP7WIwpQiCr0j6PFG0IOR8JYhIpGSFUT0iBWR\nrDLgR1+E9srRBpYBFn2/lRn2je6cl1dTJ+zM0Cr0JIPlmaNYiaNZUNLrptPQAoHLsjNoO32SYlyg\n0y9LdJ1LUXb5FqF6QfV4pFWysVL+96XVycVRjZZ8gdctAzSee3lIL032w3FPZLByecCL+m1WG4gi\nCs9Q7Y+VQxl5VkQvRtDrDaNQKCI/sQRvWgUs4IDPJYPFw1c6AMBxPDRa08IxOy6AN62C3KRy1WT1\nImxo5qJIFqR+pXWRrALCLg+RwfLyCE1WJdqPQbhffd74QWz1MEPK3hbBsvY/ZfXHpC6KJY21Bksa\nOzUix5BO79DuyuiZLFOoPE1eap66/zUCVjdPvV0oBi+s0LKxkp9EY6g3DbLJksPJcpHqlpUGEckq\n+GHrrydfM1diYCKapfYSZ2iIZPV6wyj0DqOAEeTzReQmluCPlMBGOCojPlgRwEh4RrJCANZTgV8o\nw++pINdTQn5CEfneEfT0hHn1BCPVJww94ZbkVmAe9bcLy5HZKqGu7wgLAC8Iv2+ou4WqHl5b+FyY\nLQ/S7UJlkL9FVic8JqFxGXRp02AzcwnIsjPohg0bsHbtWsyfPx9LlizBbbfdBiD8JMW6deuqb0wW\nn6QolUrYuHFj3ScpisUiLrroIgDA2Wefjfvuuy+z8nYE6nG2mC3ZaMnRKy79LuZ70fIc4TJqBEs1\nW2I18iC/P0tomCiavIx6276AqGunF76UuDdqKHpRZEh8XrDudmF0IrPo0zc5iEbiMHqrkawyfF4B\n8wOgwOsNVvSaLEwDMJVXx2xqAH9yBflJIpI1gh4Mo8BK1Yd3mLj9oETjWfR0NIuMYS4HMMlBif3q\no7Gflk7DdGbKqGWaoWqwWL3R0j1dqDVYUhpjK3aMDRaQrYa1E6MfyWp1vnILURUuW2tRrpS8VmE9\nkVa4J2lZ2WAJcVI7QqrRGrnIIlv5PC+wyGTlQqPlS9ErZotkMR6+iBSNkaxCfgT5iUXkKkXkSiWU\nixy8CPAiAyuFG8MKFXiFcmiy8mXk8kXk/REU/CgffwQ9QRhu90W4XYTu1EhWb2iyWCmMZvFyKP4M\nobnyKjWBkvdV3H5qEB1IwqMzWB4abhtWj7E8La/IJETyWE3fKprIL8tQezt9kmLcYtIlqdFXnYZ0\nMdVpFSIjwGqGIMpS25iR5U2NwquNRHk5+ek5YbKEwZrgAxMiDRP9nMRrXupuF4o+WQB81CLxvVF3\nh3whvF3oRS8lxQQe3iIUBkt8mHgKgKkApnBgCgebFMDvLSPXW0KhEObVK24XVvtkoeYWpce+Pclg\n+aL85Whf8iiShZqGlaWx7pJmaySq+m96yEerc6jXtGq9UI0VlLFO69oAul2YFcL8JEljMms6syXP\nVy+S0pixaBGGWkd3L+w3xBC1EKN8GcLfRaX2eNQhkoXjOIMlRKXuRGLRI8O5sC9ArhD2YfBNL2VR\nX+YX9Wnwo3dk9WAEvWwYE/whTPCHMJEfxUQcRamSR7mUQ6WUQ7mUQ7mUD3UmXwqf5MmXkcuXMNE/\niok4hglsCL0YwgQ2JN0ujN6aLPafarQKocFiBYQdF6LOC1zsjABgFaDCah1JZaOl7jCt0ZJEpzot\nbg0KcyUiWHIky6tlyOSMdeITJ1JqAXWi5SJiLRC6bhGotsKkS+o8U7Rep1dyeuh1ScwXuiGWC+T5\nqBktkb/OXNmMVd05qRRZmKwck059rxaJz4uHddT3GqhRrOo+iCJZXJisYUxgQ5iQG8KEwhAmsGOY\n4A+hnMsBHgPPe+AFBt7rhVlMDsAmcbDJATCJo7d3CL2FcNneXKhfvXy49hqaqiChUcMkUyjKm68A\nZRY1DDkQBIAfhMYqB6DM6x+AUveZroGoapouoqU+zKN7oMfz6uepkStr1B6a+bqDrc5Po3MxdIuG\ntXe8ThYx3UE1iZjOhIlpoSyRgPHofxbF18Udser5GJkCsHCaRa0bYcRkk8VR+19735xJhoEhfAFe\nFKqu679gegGLOFOj9fuI+jREkawJGMJEHMMUDGIqew/T+bvwWICKl0PZz6HCc6iw8JD7uTJyfhm+\nFz46PQ2HMI0dxhQMYhKOohfDkclyECn5acPIZLEg3D9+1BJEJFJBtP/EEzviYiCyru5b6eJR/V/d\nf2Keh/q+WJIIiUyYnJnNXKn1Rq1fJvFqgegkoVv6M7Qlcbpk+k1nxjT5MdTrEo/GXgAE0VjWMRF6\n0rVdGULNkvte6SLv6msJ5GKJ5XIMtc/OsOi9eFEjsapfctRdE8ESBWUBh8+jJwt5aLImsmOY5B3B\nZH8QU/lEDKMXPi8jCHwEno8g5yHoCeu9N6ECb0IQjnsrmFJ4D1NzhzHZH8RkL2ww9mIYBV5Enpfh\n8QqY/EQrg16/RHQ+kMxkpFl+JTRXwmD50u1Zef9LstPQYGTKWO5rKoyVbLSEvqmR+jqdkzLUdny3\nYdOyjHWuWzSs/UyWEB95DMSLlpqHinz7T2e0hMGSL/osEjgWpRMmCzWDJQxZAClkj9pFXjZYTDlB\nPD80WH7U8dL6SnS1Jcg5PB6+qq0QRbImYAiT2FFM4YOYhsMYYhPgswrKXg6VXGiwyl4OAEfOr8D3\nI6PFypjK3sNUvIcpGMREdgwTMIQCiiighByPwu1ihwuBkl/noBqtqJ+pz2v7NqhEoXdeM1t1A2om\nS+y3an8ESPtOmpajV2p/rLqWnU7h4syWWqfiDJY6zpBu6c/QNrjqkvpbXJ5yOlb/U10DMNIro9GK\nziGhcXXVk6HaWJRfMSNH3uVpsQny4Alz5dXGeTmCJZ4krHsrKTTvx0KkBxweD5RI1jFM8o5iij+I\nYfRihBXgs0qoW7kcKoUcKhPCC3O1L2nU5WFK/j1M9d/DZH8QE72jUiRrBDmU4PMgNFnyvlaiWbLR\nYlEXh7yIxEemqxxERisaq/tN3Xeq0VJNV7V/qTKvob+pqm9qw1E1WHJFSmq4dMtloHPdomHtuZWq\nkAlM4mZqwqnI6qIYreo6eVhZeWQSAslo8eiWoTAFwpDJZqsa7PEUU6UYAmGyxJMtTCdSpkgWAHG7\nUI1kTcJRTGZHMI0fxgh6kGdllH0fFZZDxfNR9sNDnvPCzqAikjUFoTGbzI5gEo5iAmq3C32ELUGj\nQGleDy0iWeL1DX50ceBBOAS8ZriqpiuQVqEaKnmeMF8Gg1U1VorZaspgydMmIVLTZki3hNrbChdd\n0v0vzzfla5qtRLSE8WowWmIZplRHXl/9VVOgMwli3eopk5eMVt4LP0Pj56JBjsTrGol1DcTQZPm8\ngjwvoYAR9EZR+EnsCIZzvRjxelD08/D9Csq5HEo9BZTKeZQreQAceb+EXK6EfC4cT/EGMdU7jCne\nICazI2Eki6uRLOnYCEeje7V9T2iyPA7kIv3yKmGDsYzQYJUiI6TeyVD3n85gqftVfpjH2tdUXFOU\nCJa4nmhXbMOkf3H/A/F5O9AtGtaeJgswH0S5FtvMlS2Ur4baPVS/ZC/ylY2WiLCId9WokRdPmCsm\nmSzp5KgzAR7A/NpY9AcQT7lobxXqTBYHfNES5FGfLAxjEo5iCgYxwnpQRAF5lFBhfhjN4rWPbfqo\nIMcq8KMnbybjSDWSpbtd2BDJ0rUChUiVUX2iEJHZQvQYtDBZ4rFo0d9BvoUoDJXYj2pUsOG9MWrY\nXFxo0hisOLOlE55RMlYy3SJQbYdNl1SjJdLHaZaar0gXNVJUoyX+1xotKR/R9UHth6WaKp3JUm9v\nCZOVZ7Uolh+9cFTcKqw+pKPr6iBuFwp9jUxWDmUU6m4XHkURPSh6YfPO52UUeQFF3oNSUECRFwAA\nBW8EBVasDpPZIKbgPUxmoX5NYMciDSsix0vweaXmiMR+kqPxyi1DVg4bhixA9R2A5chklXhosMR7\ns9TbroBeXnTGS45mVbtBiHnS7UHZYIlriciEqZqmFkCHyTDZ8mmxznWLho2uyVJFRvxvEx91eYEa\nulfzUadVlFB7VdTUZeR8gyjirTFaat+iupNCmABhriKDwlSDojNYypuSa9svbhfWOr6LPlmTcQRF\nFFBGDgVWRGilcqiwmskK+1nVvnM+CUcxFe9hMsJWoIhkFXgJOV6phdvFvhEipUayytG4gvAx6Eio\nUIla4eKWYQDwCmoPHEhjoGaqoBisutcyeGgwW3Xl06mayVxB+d80VtPFoVte939CuqU/Q0cga4Vu\nnk6X1ONvitLLXRoioyXOGZ3RYlGDkQXhxTiINE08sGMzVnLx1Xc1+VHkSh786I3uaqfxhq8mKwYL\nHOH79IIA+SDqk8WHq90dSsijxHKowEcOlegZwfAZ6iIik4WR6L8iChipNhJD/Qr7ZPVEfbJyvAwv\nCML3bqnhJrXbgzR4kT7xcmQkUdMarxLul0qgmCxpJ5p8SnWQDZXY30rDXO7krkawtH2wbHpl+g3K\n7+pyGdEtGjY2kSybwMjzXPNSjZaapymqZZonTsTIgMlhZhHZEvNlY8Wrf2pmqi6CJd18Z4YTWytQ\nhnC7xwP4vIw8L6IHDL3IYSKORT2p8qjADyNZ8BF+Jaw+kiUGD0E1AjYJtU6jPTx6upCX4fGg/tEj\nocC+Ul55iF7qV33ze7l2sUAFtc68UbSLC0MW5V89/1XDxaT54n+T0MQNajoo01DmxxEnYC0SrW7p\nzzCm6I6Vqy7p8kpjtITuAPbO8FEEWDZV1Wmg2odUZF2Nzkflqdss5eIvBt9H9ZuE4uPPTNIspp7/\ncjhMMVgs4PCD8OlCubtDET0oIY8ycggik1WsmqxwYODIK3ND/TpS10jsxTDykcnygwpYhde/3EqU\nS30BWGQeuXgZVh7Vz6x5XhjFElrkC5PFa09OyzuTRf9XDZp0iOuelBbT8tir/W/t5C5vi2naZrCS\nQhqWiNHbSp0ZMokKlGlbfmJaR5zRUsPscisnmic/TSj/LoxXQytQrEc6Kaonhx+ZK92tNpNR0XZ6\nD0Wq1nHUA0fYMijiWPTSBR8cDAUU6wxWEPU+FeZKjMOnEmuRrF7RJ4sX4YuWoK3jqBrVkr89IQax\nX0TLO0ojDBaXOzaw2mqqY8lgqdNGYyWOc5zBgub/pObI1WC1wHB1S6h9TDGZoGaMli4/E8rvqtGS\nO8Pz6DfGa+bKiy766kM61YahbK7k9cgXeymi4vuhufJyoY4Jg8V0OiabFq+Wd7XBVeHwggC5oHa7\nsIh8ZLBCneJgyKEUfZk1bDjWTFYp+jZhOBZPVU/G0VqfUj4SRrKCUL/qQk5im6uhOtRrcinaNmG0\nov64vmR6RKQwEH1MeW2sHsPqKS+MVjRWn5rWdYfw1K4OugiWfBxtBku3TFqazCNLDRscHMTatWvx\nwgsvYMmSJXjooYcwefLkhnTbt2/H+vXrUS6XsXHjRnzmM58BAHzpS1/Co48+CsYYTjvtNNx11104\n/vjjMTAwgJtuugnFYhFz587F3/3d32HZsmXWsnjWX1tN3MGX07jmZ7twulyE1daWNI+JcXSbz4tM\nkuc3TlcFKB+KkJ+rTdeF1HNoDK27RLMUkwVe65OV58W6zqOTo6jUNBzGcThUHabj3eogzz8Oh6T+\nWKIlOIy6z+rwSmiOdCYrLpolDUxq9Yp94kV9O3wxnVf2qbSvmTwtIoLSsTL2MI0zWK0UJNf8m6BS\nF4uMH4gUmI5ZM8cuiV5pBrnhVvdovzT4YvBr0znNUH0dgxe9kiHqayXGhZz0omTpPVjVfliSwRLn\ndV33BvmROVm7KgCr1CJZBV5ED5e7O4RRqal4D9NwuE7HZO0KfwvHjfo1VHuFQ2SyqpEs6UEBo4Yp\n28aELkX7IJ8LX7wq9k0hJ+27aJD3rc8Mx0BzrNTjqXtoylZHnOpUWlp4LmSpX/fffz9mz56Nl19+\nGbNmzcIDDzygTbdp0yZs2bIFW7duxb333ouDBw8CAP72b/8WP//5z/Hiiy9i3rx5uPvuuwEAJ554\nIh577DH8z//8D2644QZs3rw5tiyjH6/THRRdGD1pa1HOV41wxbUY5TyUaBZTlmNSS4XJZdRVZmHS\nVENi6gdgimIZI1kV5DgHBwfjYRxcRLAAwEOAXgwjgFcdKvAhnkyUh56oX8MkKZJVQBF5HiDHK+Ht\nQjmSFWewxK1CjsZIlhBe0eeBh+OGR51QfyyqFxp5f6vECY7poskMebhiy7MV4qYwEvVNITJEPV5p\nI1hyXnG3CeX1qHUyOi90neGrb3sXtwRFBF6KXFX7jvJa+mr2kYED0xs3Fp3rTIpaM1W7TI1DoV2y\nFkR9smqRLC+KqdcSh7pUDPtoVaNc4SUrbPyFc/IooRdDURTrCCY19Cktw69EtwvVaLkukiUbrais\nQr/8aBke7asgkAYWPY0u72c5Kh9pl/zksxrFaugKAdTfIlQNFpRpWH63LZOGJvPIUsN27dqFL37x\ni+jp6cE111yDr371qw1pDh8+DAA477zzAAAXX3wxdu7cicsuuwxTpkwBAJTLZRw9erT6rdYzzzyz\nuvy5556LX/7yl6hUKvB9sxFsj5uisgCp8023D+OEyrasbv3yiafeNlTWw9Sy6i6wsrioJ7J6Qqvz\n1WVVAY7MCatweJUAuTLAKgGCsoceVkSFDSNgHsDCDu4crM5SAWgwWQUUMYEPoZePRGH2EvLlMvxo\nHV6FVzuy1+0fTxnUbZG3VewbeRD9sMTtDzlapjsOcS0o19acKa0tD3WdLiLTQmMl0y39GdoOnQ7p\ntECXRv1NPa/jNE1apq5vKKR50nzw8NTTPqSj3PmXL/p1L/j1a9PavqK2W4S6KFZVvzj8SmSyghIq\nnCHgLLpNGGoXQ2imhLlqNFm1ub0YxkQcw0R+DBOiPqW9wQjyQe12IZO7MMj702S0xK3CaJqJ48Gk\nfR4ArILqbT5hslRTW92/qJ9mlvnV9UT7UDZbcl1wMlM2fZMx6Zzt/5TYNOzotudwbNvPUue9e/du\nLFiwAACwYMEC7Nq1y5oGABYtWoQdO3bgsssuAwB84QtfwJYtWzB//nw8/fTTDct///vfx9lnn201\nWEC7mCwZWZBUYYoTJTUP27T8v2qubKbMNF+tuKr5ECexakTU+eotLxm5f1OZg5UZvBLASxwYAfKo\nIO+XUfBKqHhFBJ4Hj1WUuFWYqafMzfMSeoMR9AQl5CsV5IIAfpHDL3J4JYCVEX7hWTVauv4NJsOl\nM0xqny1539vMrqvJkuclNVe2ZeX165bJGLoF2GaYdEomTsPiIu7i3JCjWFz6SW4A8to8oN6UyWZL\nLCxf1BuehBbnsi5abYu86xqIdX2yKshVyshXGIIKB/dZ2DisOsmwkViO7JQYANTNEU9XT+THMIEP\nYQKGw3dkBSPIByX4lTK8StCoX/J+VfVLvdugeUUGgNB8MVQj8V6l3ujq9nPVUEljNYIFaV5dHyzd\ntSGpVtm0T/dbRtg0rHdlH3pX9lX/P3jzloY0q1atwptvvtkw/5ZbbgHnpguHO7fccgu+8IUv4Atf\n+AI+//nP484776z+9otf/AJf/vKXMTAwEJtP+5ksmVYYLV10yvS/aq500yZX72qy4oyWarLkbRci\nFbWwPPHiliLA8hycBSjkygj8InguimSxctVcCVsFIJoTVM1WnpfDD0KXi8hXysiVA/jFAF4J8Eoc\nrMzrPz9vEiqx7fL2yNsop68oy9lMlovZijM+rmZLt5yah+7/UYRMVhug6oaLTqk6ktRoCbwwLePR\nrSsxDVSfKBSmSzZX1bE0XRc1EUZAdw7HPZyjM1jyOS3pF6sgjMIHleizWzx6lx6LjEikS6yEMvw6\nk8UAxXaFtxwn8CFpGEYhKKFQKSNXqcCvBPVPF8rHgUFvrpRIllaDGCLTWMur7qEoLpnfmndsMFkQ\nx0H5TTbAWg2T8k2kVUl+k8ctpFkNsxmc7373u9i7dy8WL16MvXv3YunSpQ1pli5dihtvvLH6/549\ne7B69eq6NBMnTsQ111yDdevWVee99tpruPLKK/G9730Pp5xySmw529NkyRfaVhkt3f+m/BEzLZaT\np+WKqTNYOsOhGi+TwRLrl/ozsOgz8F6Jg5UArwiABcjzCgKUwD0G+Bw56UkdYavCrMXc6M3xvIye\noIRCpYR8qYxcKUBuhIMVAVbiYGWE0Sy175S6T2ymUk4nREnaJqPJSnIcTNNJjZLNpKl5msqTId3y\njpm2R9UPQZKoVVxanR5KQ0M/UeV8aSgiV04j5aKOyGTJD/40PD1s6oNlulUotqt6vkddHSplIAjA\nggpYEETr5mAsMlkoRW/0E3YqrPe5aE70BsDap3n4MHqDYfTyEeQrJeSCALkgiCJZqNcvef/qjJbY\nZvUWo7Jvq/tMfUJaMloiWf1E/by634UhczVY8nScViXVw4w0LUsN6+vrw4MPPojbb78dDz74IJYv\nX96QRvSz2r59O2bPno2BgQH8/d//PQDg5Zdfxrx581Aul/H9738fH//4xwEAhw4dwmX6Hdk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dOJpxorV4GTRdG2Tp3J0t2O1P1u6jRqEoy4lpNtLIurbjpLs9UKc9VqSmNdgC4g7phnbfB154u4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XgOYGQN8IH11q3dsvtY2CVQM3g+k5OM/sqgb2Z8C1c+47Fw3iF1zh3VVYQM+A6pyLYajOOUK2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CY93USzi3ggZ+nSpVqEHYjMlcrGjRuxcePG2G0sXbq087eIaBVF1yYr6f0UAHBb+JfYveFJ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LxVXJMQ\nr7lHVtSDMNQ86AuwKgLLvVrFV9SGtZPPaYPkr9OnT+P666/H4uIibrjhBpw5cya43JEjR7B161Zs\n2rQJDz30UPb9l770JbzhDW9AFEX40Y9+lH3/zDPPYH5+Htu3b8f27dtx++23t63LxDpZgBu7hT5X\nW5dGh502Tto4LTQlq9kPfdiAPEX66xRlalAz2I/IKCnyjBT9R92vPc+KyNawia4SLLd9V7bIgpqa\n7YcitPx5KHewyrfTTmD5BFP9yoYjv3FBksyE0yShv1xl/C313vzO4CfPG1ieCifDu/Ow+txlniZJ\n9mVcLPPelXymjnTP7tPt8pV6H2omdF0sexasZOSZk+VLFMMppq6us2/lDmV+V/76AimfW1X1Nf++\niNPsvt1rAmdZe2W75bT28n7QGCSHDXLWite//vV46qmnKtdlokUW4Cerdzaycqe3WVEyvKU8V2z5\ndcpHJq796z8Edi/uI+dGpm4k6vtC9JGGd67ML4pIrcAy50Zmv+XzNeAdQZ6k8rUtPvayPbhCq7rI\nKo/a/AZg95yP3kpvhzSZ+Ed36tAfrmJwJ/vKb7Po7lYIJcO7wzvk/8Cbrjo2rzQkroqeNyqJqNxw\nHTPqRdHmQjoMjeUwuiWzps8Apo5hkeVKHR9V+Ka9kAqLqrIkd/+8u8tQsVUNoW2OCwbJYeM0a8XU\nMLWb29BumTBCyfA2wrMPgSEkl4TKHiKzJTdWhV7KfPalR0hk+XkJLqm48F0iGrWmiLKzZY8xLH9C\n9aVLVCERWgf/3BRtq0xglXuSdBm/5pOBdOZkrRlQSWRd9SKuUt+bZWygJ8mvYeeLbgMoTob3xRXl\nhrKAxg9b6ZMVSgNv1zxJG99C8sAIFtpsmOqA0RdZPi+6csc9L6b2LjeXCy3/fdEy+b8HrszzuXh8\n9e4AACAASURBVNGtmctXLvIB+rijjMPS734P4nvf73rbg5y14umnn8bll1+OXbt24fbbb8eb3vSm\n0uXHTmTRP+g+zXSiwi2t+FuzW6Hbc0VYuz3Zmrlxo5UiIYHlP0CWtMyR+/sOpZKHH/lw/xZfYNFo\nOCyu6CNvjsMXWZZW3e36Lp9/bMit1V4olb8vW8+tkX+9O8lpKIJ/l9DjGjRmImv06BdXuSxixFEx\nV5nl6LNH92/f021QoWXrGeq4E3o+iwWW62f7gs7fUqjJ0MgQ2pOQZ/LJ5Rx6fi0LmZEGeca8Kbi3\nrM91Kl0/z430CKpyTnsx1V5glXNkqKUgf19MFqeVctj/uRr8/1xtP3/yU7lFRjFrxcUXX4znn38e\nr3rVq/CNb3wDN998M/7t3/6tdJ2xE1kUlDTM56oXm0aGlrrolvzt5QnOrJ+vVzm1udtThfpA5r1Z\ny4orlq2VF1ihhrN8nkNobCxKUD4FhgjIPY+M/Eqpzffe3PqWuVg+gYWJp1hcwVsnLLD82N1cSXqE\nzHutDnofDkNU+UhaM5E1TuiFq+w2qnIV4HtfvtArFlp03WL4zYbtBZbLHD4nhNamAoumr9Pv824T\nPQN2y0JzrA1vI3IerIi0+6dj/vncZY8ifJztxFO7c1ZdYNljLRNYk8lpvXLYKGatqNfrqNfrAIDf\n+73fwz333IOf/exneP3rX1+4zliKrH4Qlr899YBBb9cXRO5y9BazosdfJiy2zO/28fWHbjBbsQ89\nfdgs/Ect/wiX5TiE3Sz6qLoCxzTTuTKRjtTMIB3CC9EBFVxlwii/f5+G7fLhbbjbc+UeUEQS+fPc\nK5mMSmyJdCwf3anDqLhKLauWMPuvJrQMioLAYqHgf0c/03NAz4srhdwAzRdTed4S3nq+jLN1cVMd\nDPPS80fPTbhObr3LmLf6OaoaRBadS1eYheByWrE1UB3D4rRBctigZq04efIkXvWqV2W9DpeXl0sF\nFjCmIsvAJ4tOLrjr2LgPjyEdY7kXL1deN19suXU0tbYPOMjnkJvle0z21a7tP8JFQisUP1Hkt+SK\nLVsPU18TK+bpIl9fup+8aPKPpsiWB4qJjn4nvd9DV8scM0qXq4ZQPYaOWXPhWCHEVT63dLot+ynP\nVe77akKrqDbGOaNiy6zb6XtaH/+Jpu/zrJMXWj7XGNhnHjlmEnBnpZCQWTaZ0OcwVJ9QvavwULkQ\ns1sLiayy7frf2Svlvp9oThsghw1q1orvfOc7+NjHPoY4jvH6178eBw4caFsXJgfUeMkYw0fk/r5s\nq+oN0Mly5dKAbq/TiCO/fXfZ4oeMopgE6FbcUVdCDpZtPqQDldqk0qJk+aLuznmZFCaqsmsiS85L\n2Tmtep5dhK9fCP2+z6piP/vLjnIIGGPAf7SbjNzD/+azeQQ7QLf8NWiuCj954W35UsJ+V8wo7dZt\nt5/Q0RWJrrzAknCnWLbjc9mRqhInLcK+isC6ee4qOnq/ru2ON3/84fNW5ZpVOc9VOdPHMDitU/4C\nuuCwCeavsXayDGh0Zl4N6M1Qdbl8zGd/dbeH3DJ0u6F92fc2cjTv7DdmqXBdzbGYV/tb/rELdRKm\n8U3o6N2jo1uzR2y2aPodmX5I6tG2tfbrGJKrZQSUt7urEVeIukP7dM8mcrXzz0wRyVRdbmhIRrTf\nGUoxaK6yd7DLWy4M2xT5V+4eQ7zkMx1lMQZJ3hmPDc723CMpkhlUZJn3wvnOHbrBP0d0KzQfS726\n+60msuz5s0dSzlP0iPrxPrQP+n2eaSeW06aEwyZCZFFQMWM+hyVE8XKu6KFL+NuzS7lCy43ZioSS\nWx+fyFC6Xlhk0SPKNxUWTWKTJw96dK6wcqnHjDADGKEVqnU7keXWOhS5mTNUFlGVCSz3yNx17Bl1\nX31aLX7gqy43VCSjrsAM7TAYrnJ/dTnJZSbzR7lom+GQ0S4bCiVNYEY5E9lWKfJPdTWR5U8fXzaW\nleETNaSoFVj0V5VXWkVkFR9F+FiL/DlzxEWCyv6ed6pC+wo7Y7S2E8ppU8JhEyOyOiMsVwAULWdo\nQ203LHcojbmxnFunosjUpaVygeWuVyQnbL3yJJUnEotygWWPk2nCMi6WoigrtMLnN1TfskipigsV\nJiGfaIpIwo8K8/sJrV+VmIrl5JAwJQQ1ieiHuPKXs1zlh4L5tVxhBvKpvdjyg0zqW7lPkWW28nNB\nj9AyDC00LcEf5Z1KF/eJc5nObskcL9ffhkcsNMfmi6z2R+KiSD6a39qLK7pe0X783wfDaUMXW1PC\nYRMjsgxCwiaPEE0Uk5z9RKVH0XJ5f8vfT14QuaSXX84SXLm48sm0aEzhdoLL3aJ7fuye7djQMnO0\naA18qg+9lgmt0O+h5fy6ud/58KPMcuJoV48ih23kWB51BWZoh2pcVW25ovBPvaOwnGJDqbLgMc9L\n9He3YbDdvsNg3tNTLLJo4OiKraIg0fzqdsuhzhYDAtyYD/mqHYnZt1sXe1R2i+FAMfzeF2t5hERc\nETrh1rLlBo4p4bCJE1khlBFY9eVorGjfu0uALJEXWr3t213WvhY/Kr7AotEfjZOAMIXQY6DfqLXC\nE28wZ31XylLxWPaAVxFARSTlUnv4Gplor2oEV4ZBu1Vdbz/tZy1mGBb6w1UAdWKKJRj1qkNrh+++\navuujnYii4otV1iZ9cv4i4EKLto72vha4cGWzXsrGLtDsYvlv4ZdLXOERVxQjS/pviYGU8JhvOzH\nlZUV7Nq1C5dffjmuvPJKPPDAAwCqz3DdiaPSKULOSWgfZcu5BfBjDL/QZVnuO1fwlBFJ2e/+doqa\nAsMCyx9bxtaz6BF0Y0SfAv2siPLaVD2ydmeh+Lf8lfaL6weGr1ARESKwTtly3cJ147rcZtJhmUL0\nyl/DRlVOaxeCFC8bapwq5yCbI1W95Hstm22Vl6InvQp/FdU+P/JWeS06P9pqrI7cEeWvtn/V8suE\nXbRBctVAMSX8VSqy5ubm8O1vfxs//vGP8Z3vfAd/+7d/ixMnTmQzXJ84cQKXXHIJHnnkkeD6IZII\nE0FvqLqP9n+6geI/y/7v/iPjz4lVVMofSzuMAt1m0XZCy9o/3fnHlzYluMUXOaJg61VqUk7Z7c+S\ndLbZzZ+Hdr9T4nNBvy9brjdQGT8TWYNCr/w1SpRxmuvj5v+M59dxucvnOLo/XyzRJ7dqcZcvElTV\nOJEeb1X+yvMOnd8wLLRsbVkHR8qd2rf7ixESViHxFBJlIfd+OFw1QEwJf5WKLABYWFgAAJw5cwZJ\nkqDRaGBpaQm33nprNsP10aNH2+5ocOKq/T58wgr97m6PChX/UTa/hx+hMplRNX+qWDyVL1OcAJ9/\n/Io8uvCRVKlJsZgKL1vtTOX/DNArVXSFqhLO8MWWS6o9PBUDFFlVnZ4jR45g69at2LRpEx566KHs\n+7vvvhtbt27Fjh078KEPfQjLy6NLvugXfw0LZeLKX069UrFVtD3zu8sFIYFFx8qr8qSGnnDXuXKb\nAfMyp2wA5er8ZY+QOXsvknv5WtHRBqsfbbiPt3vG6NnPWw9F3FL1Ck+w2JoSkdU2J0sIge3bt+PY\nsWN48MEHsbi4WGmGawD43v7D2fvF3ZdicfelkOh89PZy2C2123a7P2lmfZOpVAy1FyBv8ua/o7U0\n2QNmL2UEmn88fYQf6bzVHiIo+509Vkq/6jubh6US4EXw3NqjsdKnjBD8o6uKUO5D2T6qiy2DYVju\nDE8ffg7PHn6+zd3YBgMkHuP0fPGLX8SHP/xhPPLII7jrrrtyy+3btw8HDhzAxo0b8c53vhN/9Ed/\nhFe/+tW49tprsxGW9+7diy984Qu49dZbB1fhEvTCX98n/PUbmr+GBUaeySJOc3nBcFJopHl3bctw\n7fNJzb47DQd8LqL5WH5rQFGuVqjutP5mT37WmfveyBRzxOH9unXu7Gh9kVeMMlamx+NyXdV9DwvP\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aYJ6gceCgfmM8xdb0dOYZa56bkrzSqWgurNKANaqH37XSi+vAMC4EFc5vCJVRRlD+Wc3X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\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0xa5422b0>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 58
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"fig, axes = subplots(1,3, figsize=(16,5))\n",
|
|
"epsx = np.linalg.norm(Utils.mkvc(Bxr))*1e-6\n",
|
|
"epsy = np.linalg.norm(Utils.mkvc(Byr))*1e-6\n",
|
|
"epsz = np.linalg.norm(Utils.mkvc(Bzr))*1e-6\n",
|
|
"id = 21\n",
|
|
"axes[0].plot(Y[:,id], Bxra[:,id], 'b', Y[:,id], Bxr[:,id], 'r.'); axes[0].set_title('$B^s_x$', fontsize = 16)\n",
|
|
"axes[1].plot(Y[:,id], Byra[:,id], 'b', Y[:,id], Byr[:,id], 'r.'); axes[1].set_title('$B^s_y$', fontsize = 16)\n",
|
|
"axes[2].plot(Y[:,id], Bzra[:,id], 'b', Y[:,id], Bzr[:,id], 'r.'); axes[2].set_title('$B^s_z$', fontsize = 16)\n",
|
|
"print X[1,id]"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"15.0\n"
|
|
]
|
|
},
|
|
{
|
|
"metadata": {},
|
|
"output_type": "display_data",
|
|
"png": 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BgUlk586Ftm0tiFNEHOrTT2H6dPjiC9i4Ed58U0mtiIh4L/XUOlhR7+0f/gBbtsBzz8HE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\nERERERGRx2JRS0RERERERB7r/wOahhm62ydSYAAAAABJRU5ErkJggg==\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x1232e908>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 59
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"fig, axes = subplots(1,3, figsize=(14,5))\n",
|
|
"epsx = np.linalg.norm(Utils.mkvc(Bxr))*1e-6\n",
|
|
"epsy = np.linalg.norm(Utils.mkvc(Byr))*1e-6\n",
|
|
"epsz = np.linalg.norm(Utils.mkvc(Bzr))*1e-6\n",
|
|
"axes[0].plot(Y[:,id], abs((Bxr[:,id]-Bxra[:,id])/(Bxra[:,id]+epsx)), 'r.')\n",
|
|
"axes[1].plot(Y[:,id], abs((Byr[:,id]-Byra[:,id])/(Byra[:,id]+epsy)), 'r.')\n",
|
|
"axes[2].plot(Y[:,id], abs((Bzr[:,id]-Bzra[:,id])/(Bzra[:,id]+epsz)), 'r.')"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 60,
|
|
"text": [
|
|
"[<matplotlib.lines.Line2D at 0x213e39e8>]"
|
|
]
|
|
},
|
|
{
|
|
"metadata": {},
|
|
"output_type": "display_data",
|
|
"png": 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HwBi25qWtcQMuszUvbY07EvwYdKSlJd1kJBLhn/T0IxYGYikYAxkA8J2teWlr3IDLbM1L\nW+N2RpSahCjFUsJoegD4zta8tDVuwGW25qWtcQOuYvQ2AAAABCtKAwu4jnUdGJoeAAAATCxKAwu4\njnUdGJoeAAAATIzRx4qHdR0Y7ukBMIateWlr3IDLbM1LW+MODDfzFw/rOisGMgDgO1vz0ta4AZfZ\nmpe2xg24ioEMAAAAACAHmh4AAAAATqPpAQBkVypDp5bK+wSAEkbTAwDIrlSGTi2V94looumGbSzd\nZ2l6AADZlcrQqaXyPhFNNN2wjaX7LE0PACC7HTuktWulvXvdHjq1VN4noommG7axdJ9lyGoAY9ia\nl7bGDbjM1rwsatw8lwW2CWGf5Tk9AHxna17aGjfgMlvz0ta4AVfxnB4AAAAAyIGmBwAA4NMsG5kK\ncJZPgyXQ9AAAAHyaZSNTAc4aGvLl19D0lLqojLUelTgAAJCsG5kKcNb50eIKxEAGpS6VSo+1LqWH\nbN25s7TjgLV5aWvcgMtszctYLCbz3nuMpgZEweioYjNnMpABChSVsdajEgcAAFJpNjxcdRFdpbxt\nfMpFmp5SF5WH8kUlDgAAbOTHQfHQUPqqC+5nih4/tk0pN06SLgg7AISsoiIal5JFJQ4AAGx0/qBY\nSh/cTuVvKlddRJcf28aPfcRifNIDAABgOz8OirnqIrr82DYl3tQykAGAMWzNS1vjBlxma15aGffo\naPrsfWcnDQuys3gf8SMnaXoAjGFrXtoaN+AyW/PS1rgBV/mRk1zeBgAAAMBpND0AAAAAnEbTAwAA\n4KcSHxoYyIhQLtD0AAAA+Inn3QBpEcqFnE1Pb2+v6uvrtWDBAm3ZsmXc64ODg1qyZImmT5+uRx99\ndMxrNTU1amxsVDweVzKZ9C9qAFaingDwQ65asn37djU1NampqUm33nqrhoaG8p7XF0EODRyhM+dw\nRJD7VISGyc45els8HtfmzZtVXV2tFStW6MCBA6qsrMy8PjIyojfffFPPPvusZs6cqY0bN2Zeq62t\n1ZEjRzRr1qzsC2d0FCBygsxL6glQWoLKy1y15KWXXlJDQ4NmzJihJ598Uvv379dTTz2V17ye4m5v\nT5/JLi9PP0fl/DDAQQ4NnEr9/wMm164tuQdMIgBB7lMT5cJEuTOBwEdvO3XqlCRp6dKlqq6u1vLl\ny9XX1zdmmosvvliLFi3StGnTsv4ODkIASNQTAP7Ip5YsWbJEM2bMkCStWrVKPf87oMtnXk8munSn\noiJ94BjEs1AidOYcjghyn5ooF0K47O2CyV7s7+9XXV1d5vuGhgYdOnRIq1atyuuXx2IxLVu2TLW1\ntVq3bp3a2trGTfPQQw9l/p9KpZRKpfKLHIAvuru71d3dHfhyqCeA+4pRT7zWks7OTrW2tnqeN696\nEkYDsmOHtQ+YRESFsU/lyJ0gasmkTU+hDh48qKqqKg0MDKi1tVXJZFJz5swZM80niwqA4vv0H/OH\nH344vGAmQT0Boi9q9WT//v3atm2bXnzxRc/z5lVPwjhYPH/mHPBLGPtUjtwJopZMenlbIpHQ4OBg\n5vujR49q8eLFef/yqqoqSVJ9fb3a2tq0e/fuKYYJwHbUEwB+yLeWvPrqq1q/fr127dqliv8dVE25\nDk10o3eQl7EBLpsodwIcVGHSpuf89bC9vb0aHh7Wvn371NzcnHXaT19rf/bsWZ05c0ZS+ubkrq4u\nrVy50o+YAViIegLAD/nUkuPHj2vNmjXavn275s+f72nerCI07K4njPRWumzd9gHmWs7L2zZt2qSO\njg6dO3dOGzZsUGVlpbZu3SpJ6ujo0IkTJ5RIJHT69GmVlZVp8+bNOnbsmN5++22tXr1akjR79mxt\n3LhRc+fO9TV4AHahngDwQ65a8sgjj+jdd9/V+vXrJUnTpk3T4cOHJ5w3J1sHDzh/ACmlDyC5LK50\n2LrtA8y1nENWB4khZoHosTUvbY0bcJmteTku7iCHoJ6IxyF9s2ppSZ8xTySkvXu5DK+U+LHt/dgH\nvZog1/yoJTQ9AMawNS9tjRtwma15GYm4/Xh2ShjNGqLBj20foWdC+ZGTgY7eBgAAgP/xcubcj8t8\nGOmtdPmx7b3sg2F8KuTRpAMZAAAAwCdebtLesSN9dp3L0hAWL/ugBYN98EkPAABAMXg5c86nNAib\nl33QgsE+uKcHwBi25qWtcQMuszUvA4ube2zgqoD3bQYyAOA7W/PS1ritZMG121nZGrfFbM1LW+MG\nXOVHTnJPDwDAGwuu3c7K1rgBAAWj6QEAeGPBtdtZ2Ro3AKBgXN4GYAxb89LWuK1k630JtsZtMVvz\n0ta4AVdxTw8A39mal7bGDbjM1ry0NW7AVdzTAwAAAAA50PQAAAAAcBpNDwAAAACn0fQAAAAAcBpN\nDwAAAACn0fQAAAAAcBpNDwAAAACn0fQAAAAAcBpNDwAAAKKvvV1KpaSWFml01J7fjUig6QEAAED0\nDQ1JPT3Snj3pJsWW341IoOkBAABA9JWXp/9NJKTOTnt+NyIhZowxoS08FlOIiweQha15aWvcgMts\nzUtb43be6Gj6U5jOTqmiwp7fjYL5kZM0PQDGsDUvbY0bcJmteWlr3ICr/MhJLm8DAAAA4DSaHgAA\nAABOo+kBAAAA4DSaHgAAAABOo+kBAAAA4DSaHgAAAABOo+kBAACAvdrbpVRKamlJP2/Hr2nhFJoe\nAAAA2GtoSOrpkfbsSTc1fk0Lp9D0AAAAwF7l5el/Ewmps9O/aeGUmAnxkcM88RiIHlvz0ta4AZfZ\nmpe2xl2yRkfTn9p0dkoVFf5Ni8jwIydpegCMYWte2ho34DJb89LWuAFX+ZGTXN6G7IK80Y+bCAEA\nAFBEND3ILsgb/biJEAAAAEVE04PsgrzRj5sIAQAAUETc04PsgrzRj5sII83WvLQ1bsBltualrXED\nrmIgAwC+szUvbY0bcJmteWlr3ICrGMgAAAAAAHKg6QEAAADgNJoeAAAAAE6j6QEAAADgNJoeAAAA\nAE6j6QEAAADgNJoeAAAAAE6j6QEAAADgtJxNT29vr+rr67VgwQJt2bJl3OuDg4NasmSJpk+frkcf\nfdTTvABKB7UEgF8KqSc1NTVqbGxUPB5XMpksVsgAQhYzOR5vGo/HtXnzZlVXV2vFihU6cOCAKisr\nM6+PjIzozTff1LPPPquZM2dq48aNec/LE4+B6AkqL4OsJUHGDWDqolhPamtrdeTIEc2aNavocQOY\nGj9yctJPek6dOiVJWrp0qaqrq7V8+XL19fWNmebiiy/WokWLNG3aNM/zAigN1BIAfimknpxHQwOU\nngsme7G/v191dXWZ7xsaGnTo0CGtWrUq5y/Od96HHnoo8/9UKqVUKpVn6AD80N3dre7u7kCXUYxa\nIlFPgLBFvZ5I6TPGy5YtU21trdatW6e2tras01FPgPAEUUsmbXqK4ZNFBUDxffqP+cMPPxxeMAWi\nngDhsqGeHDx4UFVVVRoYGFBra6uSyaTmzJkzbjrqCRCeIGrJpJe3JRIJDQ4OZr4/evSoFi9enNcv\nLmReAG6hlgDwS6E1oaqqSpJUX1+vtrY27d692/cYAUTPpE3PjBkzJKVHSRkeHta+ffvU3NycddpP\nXx/rZV4AbqOWAPBLIfXk7NmzOnPmjKT0YAddXV1auXJlsAEDiISco7f19PRo/fr1OnfunDZs2KAN\nGzZo69atkqSOjg6dOHFCiURCp0+fVllZmS666CIdO3ZMF154YdZ5xyyc0VGAyAkqL4OsJUHGDWDq\nolZP3n77ba1evVqSNHv2bH3961/XunXrihY3gKnxIydzNj1BoqgA0WNrXtoaN+AyW/PS1rgBVwU+\nZDUAAAAA2I6mBwAAAIDTaHoAAAAAOI2mB/lrb5dSKamlRRod9X96AAAAIAA0Pcjf0JDU0yPt2ZNu\naPyeHgAAAAgATQ/yV16e/jeRkDo7/Z8eAAAACABDViN/o6PpT2w6O6WKCv+nRyTYmpe2xg24zNa8\ntDVuwFU8pweA72zNS1vjBlxma17aGjfgKp7TAwAAAAA50PQAAAAAcBpNDwAAAACn0fQAAAAAcBpN\nDwAAAACn0fQAAAAAcBpNDwAAAACn0fQAAAAAcBpNDwAAAACn0fQAAAAAcBpNDwAAAACn0fQAAAAA\ncBpNDwAAAACn0fQAAAAAcBpNDwAAAACn0fQAAAAAcBpNDwAAAACn0fQAAAAAcBpNDwAAAACn0fQA\nAAAAcBpNDwAAAACn0fQAAAAAcBpNDwAAAACn0fQAAAAAcBpNDwAAAACn0fQAAAAAcBpNDwAAAACn\n0fQAAAAAcBpNDwAAAACn0fQAAAAAcBpNDwAAAACn0fQAAAAAcBpNDwAAAACn0fQAAAAAcBpNDwAA\nAACn0fQAAAAAcBpNDwAAAACn0fQAAAAAcBpNDwAAAACn5Wx6ent7VV9frwULFmjLli1Zp/n+97+v\nefPm6eqrr9bg4GDm5zU1NWpsbFQ8HlcymfQvagBWop4A8EOuWjI4OKglS5Zo+vTpevTRRz3NC8BN\nMWOMmWyCeDyuzZs3q7q6WitWrNCBAwdUWVmZef3w4cO69957tWvXLnV1dWn79u16/vnnJUm1tbU6\ncuSIZs2alX3hsZhyLB5AkQWZl9QToLQElZe5asnIyIjefPNNPfvss5o5c6Y2btyY97xBxg1gavzI\nyUk/6Tl16pQkaenSpaqurtby5cvV19c3Zpq+vj7deOONmjVrlm655RYNDAyMeZ2iAUCingDwRz61\n5OKLL9aiRYs0bdo0z/MCcNMFk73Y39+vurq6zPcNDQ06dOiQVq1alfnZ4cOHdfvtt2e+v/jii/XP\nf/5T8+bNUywW07Jly1RbW6t169apra1t3DIeeuihzP9TqZRSqVQBbweAV93d3eru7g58OdQTwH3F\nqCf51BI/5qWeAOEJopZM2vTkwxgz4dnXgwcPqqqqSgMDA2ptbVUymdScOXPGTPPJogKg+D79x/zh\nhx8OLRbqCWC3KNWTQlFPgPAEUUsmvbwtkUiMuZH46NGjWrx48ZhpmpubdezYscz3IyMjmjdvniSp\nqqpKklRfX6+2tjbt3r274IAB2Il6AsAP+dSSIOYFYLdJm54ZM2ZISo90Mjw8rH379qm5uXnMNM3N\nzXrmmWf0zjvvaMeOHaqvr5cknT17VmfOnJGUPnDp6urSypUrg3gPACxAPSkB7e1SKiW1tEijo8SB\nQORTS8779CfHXuYF4Jacl7dt2rRJHR0dOnfunDZs2KDKykpt3bpVktTR0aFkMqlrrrlGixYt0qxZ\ns7Rt2zZJ0okTJ7R69WpJ0uzZs7Vx40bNnTs3wLcCIOqoJ44bGpJ6etL/b2+Xdu4s7TgQmFy15MSJ\nE0okEjp9+rTKysq0efNmHTt2TBdeeGHWeQG4L+eQ1YEunCEhgcixNS9tjdspLS3Snj1SIiHt3StV\nVJR2HLA2L22NG3CVHzlJ0wNgDFvz0ta4nTI6mv5kpbMz3EYjKnHA2ry0NW7AVTQ9AHxna17aGjfg\nMlvz0ta4AVcF/nBSAAAAALAdTQ8AAAAAp9H0AAAAAHAaTQ8AAAAAp9H0AAAAAHAaTQ8AAAAAp9H0\nAAAAAHAaTQ8AAAAAp9H0AAAAAHAaTQ8AAADc094upVJSS4s0Ohp2NAgZTQ8AAADcMzQk9fRIe/ak\nGyCUNJoeAAAAuKe8PP1vIiF1doYbC0IXM8aY0BYeiynExQPIwta8tDVuwGW25qWtceNTRkfTn/B0\ndkoVFWFHgwL4kZM0PQDGsDUvbY0bcJmteWlr3ICr/MhJLm8DAAAA4DSaHgAAAABOo+kBAAAA4DSa\nHhSOcfABAAAQYTQ9KBzj4AMAACDCaHpQOMbBBwAAQIQxZDUKxzj4TrE1L22NG3CZrXlpa9yAq3hO\nDwDf2ZqXtsYNuMzWvLQ1bsBVPKcHAAAAAHKg6QEAAADgNJoeAAAAAE6j6QEAAADgNJoeAAAAAE6j\n6QEAAADgNJoeAAAAAE6j6QEAAADgNJoeAAAAAE6j6QEAAADgNJoeAAAAAE6j6QEAAADgNJoeAAAA\nAE6j6QEAAADgNJoeAAAAAE6j6QEAAADgNJoeAAAAAE6j6QEAAADgNJoeAEBw2tulVEpqaZFGR+35\n3QAAp9D/1kwUAAAJeElEQVT0AACCMzQk9fRIe/akmxRbfjcAwCk0PQCA4JSXp/9NJKTOTnt+NwDA\nKTFjjAlt4bGYQlw8gCxszUtb43be6Gj6U5jOTqmiwp7fDV/Ympe2xg24yo+c5JOeLLq7u8MOYUJR\njY24vItybPBPlLdzUWKrqJB27vTUlOQd1xR+dyGiui2jGhf8F9VtHdW4pOjGRlzFl7Pp6e3tVX19\nvRYsWKAtW7Zkneb73/++5s2bp6uvvlqDg4Oe5o2iKG/wqMZGXN5FObYglGItkaK9naMaG3F5E9W4\nglRIPampqVFjY6Pi8biSyWSxQvZFVLd1VOOSohsbcRVfzqbn7rvv1tatW7V//3499thjOnny5JjX\nDx8+rBdeeEF/+9vfdN999+m+++7Le14ApYNaAsAvhdSTWCym7u5uvfzyyzp8+HCxQwcQkkmbnlOn\nTkmSli5dqurqai1fvlx9fX1jpunr69ONN96oWbNm6ZZbbtHAwEDe8wIoDdQS5K29XXriCYahxoQK\nqSfncb8OUILMJPbt22duvvnmzPe/+c1vzAMPPDBmmttuu810dXVlvm9ubjavv/56XvNK4osvviL4\n5begawn1hC++ovsVlXryxhtvGGOMqa2tNY2NjeaGG24wzz33XNZlhL3O+OKLr/FfhbpABTLGjDtj\nEovF8p4XAKTCasn5+QFAyl5Pzjt48KCqqqo0MDCg1tZWJZNJzZkzZ9z8ANwy6eVtiURizM1/R48e\n1eLFi8dM09zcrGPHjmW+HxkZ0bx587Ro0aKc8wIoDdQSAH4ppJ5IUlVVlSSpvr5ebW1t2r17dxGi\nBhC2SZueGTNmSEqPkjI8PKx9+/apubl5zDTNzc165pln9M4772jHjh2qr6+XJFX8bwjRyeYFUBqo\nJQD8Ukg9OXv2rM6cOSMp3Qh1dXVp5cqVxX0DAEKR8/K2TZs2qaOjQ+fOndOGDRtUWVmprVu3SpI6\nOjqUTCZ1zTXXaNGiRZo1a5a2bds26bwAShO1BIBfplpPTpw4odWrV0uSZs+erY0bN2ru3LmhvQ8A\nRVTwXUF5euCBB0xjY6Npamoyt912mzl58mTmtc2bN5v58+eb+vp688ILL2R+fuzYMROPx01tba35\nwQ9+EEhc9913n6mrqzPxeNzcfffd5uzZs5GIa+fOnaahocGUlZWZI0eOjHktzLiy6enpMXV1dWb+\n/PnmV7/6VdGWa4wx3/jGN8wll1xirrrqqszPTp8+bdra2szcuXPNDTfcYM6cOZN5baJ157fjx4+b\nVCplGhoazLXXXmu2b98emdg+/PBDk0wmTVNTk2lubja/+MUvIhNbvqgn3lBP8kM98YZaEmxuUE8K\nRz0Zr5TrSdGantOnT2f+//DDD5sHH3zQGGPMW2+9Za644grz5ptvmu7ubhOPxzPTXX/99ebpp582\nJ0+eNF/+8pdNf3+/73Ht3bvXfPzxx+bjjz823/zmN83vfve7SMQ1MDBg/vGPf5hUKjWmqIQdVzYL\nFy40PT09Znh42FxxxRVmZGSkKMs1xpje3l7z97//fUxR+elPf2ruuusu89FHH5lvf/vb5uc//7kx\nZvJ157d///vf5uWXXzbGGDMyMmJqa2vN6dOnIxGbMcZ88MEHxhhjPvroI3PllVeaoaGhyMSWD+qJ\nN9ST/FBPvKOWBJcb1JPCUU/GK+V6kvPhpH656KKLJEn/+c9/9MEHH2j69OmS0mPpr1y5Updddpmu\nvfZaGWP0/vvvS5L+8Y9/6KabbtLs2bO1evXqQJ7Ncd1116msrExlZWVasWKFenp6IhFXXV2dvvjF\nL477edhxfVrYz1D5yle+opkzZ4752eHDh3XHHXfos5/9rNatW5eJJ9u6O39tt9/mzJmjhQsXSpIq\nKyt15ZVXqr+/PxKxSVJ5ebkk6f3339d//vMfffazn41MbPmgnnhDPckP9cQ7aklwuUE9KQz1JLtS\nridFa3ok6Yc//KHmzJmjAwcO6P7775eU3gHO32AoSVdccYX6+vr0+uuv65JLLsn8vKGhQYcOHQo0\nvt/+9rdqbW2NXFyfFLW4+vv7VVdXV/TlTuaTMdXV1WWeuN3X1zdu3RXjadyvv/66jh49qmQyGZnY\n/vvf/6qpqUlf+MIXdNddd+myyy6LTGz5op4ULmpxUU9yi1o9oZYUZx+lnnhHPcmt1OqJr03Pdddd\npy996Uvjvs4PB/njH/9Yx48fVzKZ1He/+11J2cfCz/ZsjmzT+RWXJD3yyCO66KKLtHbt2kjFlc/y\n/I7Ldl7eu5fnwEzFmTNndNNNN+mXv/ylLrzwwsjEVlZWpldeeUWvv/66fv3rX+vll1+OTGznUU/8\njyuf5VFPxopSXkSxnlBLCssN6klpiVJulGI9KfjhpJ+0b9++nNOUl5dr3bp1uvPOOyWlh5Xcv39/\n5vXBwUElEglddNFFeuuttzI/P3bs2JSfzZErrieeeEJdXV3661//mvlZFOLKphhxeZFIJDJnxqT0\n8xLCHv4zkUhoYGBA8XhcAwMDSiQSkiZed0E5d+6c1qxZo9tvv1033HBDpGI7r6amRi0tLerr64tc\nbNQTf+PKhnqSW1TyIur1hFoSTGzUk6mjnkysVOtJ0S5ve+211ySlr5v9wx/+kBkyMplMqqurS8eP\nH1d3d7fKysoy19jW1dXp6aef1smTJ/WnP/0pkGdz/OUvf9HPf/5z7dq1K3MtbxTi+qRPdrlRikvK\n73kJxdbc3KzHH39cH374oR5//PFMcZ1s3fnNGKM77rhDV111lb7zne9EKraTJ09qdHRUkvTOO+9o\n7969uuGGGyIRW76oJ1NHPfEmCnkR1XpCLQk2N6gnhaGeZFfS9ST/MRUKs2bNGnPVVVeZRCJh7r//\nfvPuu+9mXtu0aZO5/PLLTX19vent7c38/OjRoyYej5uamhrzve99L5C45s+fby677DKzcOFCs3Dh\nQvOtb30rEnH98Y9/NJdeeqmZPn26+cIXvmBWrlwZibiy6e7uNnV1debyyy83mzdvLtpyjTHm5ptv\nNlVVVeYzn/mMufTSS83jjz8+6fCGE607v73wwgsmFouZpqamzL61Z8+eSMT26quvmng8bhobG83y\n5cvNk08+aYyZfFjIYsWWL+qJN9ST/FBPvKGWBJsb1JPCUU/GK+V6EjOmhC+uBAAAAOC8oo7eBgAA\nAADFRtMDAAAAwGk0PQAAAACcRtMDAAAAwGk0PQAAAACcRtMDAAAAwGn/B1shi56peweEAAAAAElF\nTkSuQmCC\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x1232c550>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 60
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"fig, axes = subplots(1,1, figsize=(16,5))\n",
|
|
"epsx = np.linalg.norm(Utils.mkvc(Bxr))*1e-6\n",
|
|
"epsy = np.linalg.norm(Utils.mkvc(Byr))*1e-6\n",
|
|
"epsz = np.linalg.norm(Utils.mkvc(Bzr))*1e-6\n",
|
|
"id = 21\n",
|
|
"# axes.plot(X[id,:], Bzra[id,:], 'b', X[id,:], Bzr[id,:], 'r.'); axes.set_title('$B^s_z$', fontsize = 16)\n",
|
|
"axes.plot(X[id,:], Bxra[id,:], 'b', X[id,:], Bxr[id,:], 'r.'); axes.set_title('$B^s_z$', fontsize = 16)\n",
|
|
"print Y[id,0]"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"15.0\n"
|
|
]
|
|
},
|
|
{
|
|
"metadata": {},
|
|
"output_type": "display_data",
|
|
"png": 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hIzdXuuwyu6uBN3rwQSksTJoxw+5KAACOYKQWAODWYmOl1q2l5cvtrgTe6Jtv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\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x17dc7550>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 61
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"print 1/abs(min(Bxra[id,:])/max(Bxra[id,:]))"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"0.200975085599\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 77
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Thoughts\n",
|
|
"\n",
|
|
"### - Congruous sphere method works well, which means we need right boundary condition. \n",
|
|
"### - I am not sure for real situation when we have multiple bodies in our domain ... ?\n",
|
|
"### - Secondary field shows better accuracy than total field approach as expected\n",
|
|
"### - Anyway every piece works well for forward modeling!!"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 59
|
|
}
|
|
],
|
|
"metadata": {}
|
|
}
|
|
]
|
|
} |