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@Fuad-HH
Last active June 2, 2024 22:09
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Read and Analyze BMW and Beams3D Output
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Read NetCDF file From BMW\n",
"BMW is a Biot-Savart law based magnetostatic solver. It includes the coil file (which contains both coil geometry and current through the coil) and the plasma information from the `VMEC` out file (named as `wout...nc`) and creates a netCDF file that contains the total magnetic field information at the specified points. The user can both specify how many poloidal planes as well as the number of grid points in both $R$ and $z$ direction. The user has to pass the range of $R$ and $z$. \n",
"\n",
"The netCDF file contains the following variables (only including the magnetic field information):\n",
"\n",
"Grid information:\n",
"- `rmin` : minimum value of $R$ in the direction\n",
"- `rmax` : maximum value of $R$ in the direction\n",
"- `zmin` : minimum value of $z$ in the direction\n",
"- `zmax` : maximum value of $z$ in the direction\n",
"\n",
"Magnetic field information:\n",
"- `br_grid` : $B_R$ at the grid points\n",
"- `bz_grid` : $B_z$ at the grid points\n",
"- `bphi_grid` : $B_\\phi$ at the grid points\n",
"\n",
"$B_R$, $B_z$ and $B_\\phi$ are the components of the magnetic field in cylindrical coordinates.\n",
"\n",
"Some notes on the BMW simulation:\n",
"- The mgrid file was created with the mgrid that comes with [Stellarator-Tools](https://github.com/ORNL-Fusion/Stellarator-Tools?tab=readme-ov-file) rather than what the STELLOPT package gives. It includes the vacuum field vectors which is needed by BMW.\n",
"- The `ier_flag` in the wout file has to be set zero like the following before running BMW.\n",
"```python\n",
"from netCDF4 import Dataset\n",
"ncfile = Dataset(\"wout_w7x.nc\", ’a’)\n",
"ncfile[\"ier_flag\"][:] = 0\n",
"ncfile.close()\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Loading the python libraries"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import netCDF4 as nc\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Specify the path and open the netCDF file with `netCDF4` library\n",
"The variable called `data` contains all the information from the netCDF file."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# read a netcdf file\n",
"filename = \"bmw_ncsx_c09r00_out2.nc\"\n",
"filename = r\"C:\\Users\\fuadh\\Downloads\\bmw_ncsx2.nc\"\n",
"data = nc.Dataset(filename, \"r\")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"dict_keys(['series', 'nfp', 'rmin', 'rmax', 'zmin', 'zmax', 'ar_grid', 'ap_grid', 'az_grid', 'br_grid', 'bp_grid', 'bz_grid', 'px_grid', 'py_grid', 'pz_grid', 'jx_grid', 'jy_grid', 'jz_grid'])\n"
]
}
],
"source": [
"# see what's in the file: the variables\n",
"print(data.variables.keys())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Read the grid information\n",
"- `rmin`, `rmax`, `zmin` and `zmax` are the minimum and maximum values of $R$ and $z$ respectively.\n",
"- `data.variables` is a dictionary that contains all the necessary variables, e.g. field components, grid information etc."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"rmin, rmax, zmin, zmax = data.variables[\"rmin\"][:].tolist(), data.variables[\"rmax\"][:].tolist(), data.variables[\"zmin\"][:].tolist(), data.variables[\"zmax\"][:].tolist()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Read the magnetic field components\n",
"These are read the same way discussed above. The three components are stored in three variables."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# read br_grid and plot it\n",
"br_grid = data.variables[\"br_grid\"][:]\n",
"bz_grid = data.variables[\"bz_grid\"][:]\n",
"bphi_grid = data.variables[\"bp_grid\"][:]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Check the number of poloidal planes in the netCDF file\n",
"Each variable has the shape of `(nphi, nr, nz)` where `nphi` is the number of poloidal planes, `nr` is the number of grid points in $R$ direction and `nz` is the number of grid points in $z$ direction."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(120, 201, 201)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"br_grid.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This means that in contains information for 2 equidistant planes in the toroidal direction. And for each plane, it contains a 2D grid of size 201x201."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Following plot shows the $B_\\phi$ component of the magnetic field at the _second poloidal plane_."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# use rmin, rmax, zmin, zmax to set the extent of the plot\n",
"plt.imshow(bphi_grid[0, :, :], extent=[rmin, rmax, zmin, zmax], cmap='jet', aspect='equal')\n",
"plt.colorbar()\n",
"plt.title(\"$B_\\phi$ from BMW NCSX C09R00\")\n",
"plt.xlabel(\"R [m]\")\n",
"plt.ylabel(\"Z [m]\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Read Beams3D output file and verify the output of BMW with the output of Beams3D\n",
"\n",
"_Beams3D is a part of the `STELLOPT` suite by PPPL. More information about Beams3D can be found here: https://princetonuniversity.github.io/STELLOPT/BEAMS3D_\n",
"\n",
"Although Beams3D is mainly designed for the simulation of neutral beam injection, it also computes the magnetic field information outside LCFS. It also takes the coils file as well as the `vmec` out file along with a input file where the grid information is specified. These are same as BMW. The output file format for BMW is `hdf5`. The files are opened the same way as before."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"import h5py"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"# read the Beams3D data\n",
"beam3dFile = \"beams3d_ncsx_c09r00_free_birth.h5\"\n",
"#beam3dFile = r\"C:\\Users\\fuadh\\Downloads\\beams3d_ncsx_c09r00_free_birth.h5\"\n",
"#beam3dFile = r\"C:\\Users\\fuadh\\Downloads\\beams23_ncsx_c09r00_free_birth_field.h5\"\n",
"beamData = h5py.File(beam3dFile, 'r')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Read the grid and magnetic field information\n",
"For Beams3D's case, instead of storing the grid extents, it stores the grid coordinates. The magnetic fields are stored the same way. They are read as follows:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"# read raxis, zaxis, phiaxis\n",
"raxis = beamData['/raxis'][()]\n",
"zaxis = beamData['/zaxis'][()]\n",
"phiaxis = beamData['/phiaxis'][()]\n",
"\n",
"# read b_phi\n",
"b_phi = beamData['/B_PHI'][()]\n",
"b_r = beamData['/B_R'][()]\n",
"b_z = beamData['/B_Z'][()]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Number of poloidal planes and grid points\n",
"For Beams3D's case, the dimensions of the variables are `(nr, nphi, nz)` which is different from BMW."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(201, 2, 201)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"b_phi.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following plot shows the $B_\\phi$ component of the magnetic field at the _first poloidal plane_."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.436, 2.436, -1.0, 1.0)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"raxis[0], raxis[-1], zaxis[0], zaxis[-1]"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plot b_phi\n",
"plt.imshow(b_phi[:, 0, :], extent=[raxis[0], raxis[-1], zaxis[0], zaxis[-1]], cmap='jet', aspect='equal')\n",
"plt.colorbar()\n",
"plt.title(\"$B_\\phi$ from Beams3D NCSX C09R00\")\n",
"plt.xlabel(\"R [m]\")\n",
"plt.ylabel(\"Z [m]\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following plot shows the $B_\\phi$ component of the magnetic filed at the _first poloidal plane_ for both BMW and Beams3D.\n",
"\n",
"Note: The scales are different for both the plots. But from the shape of the plot we can see that the magnetic field information is different."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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MtM7LywMAtGnTBtnZ2ejfvz+effZZgaucZ/369Vi0aBGWL18Ok8mEqVOnYunSpUHnPBGEnpGiOdGSlpaGwYMH49NPPxVtc/ww1dChQ70dIinwGgF4dJHXiAcffBADBgwQhE1ISMDGjRsxb948PProo0hKSsKcOXPwxBNPRJU3QllMnJwlJARBSGLRokVYvHgxfv75Z2RmZmqdHIIgFGLWrFl46623At57RbAHzcEhCIIgCMJwkIFDEARBEIThoCEqgiAIgiAMh6oenJ07d2Lq1Kno1KkTTCYT3n777bDX7NixA4MHD0ZiYiIuueQS/Otf/woIU1JSgssvvxw2mw2XX345NmzYoELqCYIgCILQK6oaOGfPnkX//v2DbtPtz/HjxzF58mSMHDkSFRUV+POf/4x58+ahpKTEG6a8vBwzZsxAYWEhDh06hMLCQkyfPh2ffPKJWtkgCIIgCEJnxGyIymQyYcOGDbjhhhuChvnTn/6Ed999V/Beo7vuuguHDh1CeXk5AGDGjBlwOBzYsmWLN8zEiRPRtm1b2e8gIgiCIAjCmDC1D055eXnAniQTJkzAypUr0dzcjISEBJSXl+Pee+8NCLN06dKg8TY1NaGpqcn7/cKFC/jll1/Qvn177w69BEFoD8dxqK+vR6dOnSS/S0wpSCcIgn3kaARTBk51dTWysrIEx7KysuByuXDq1Cnk5OQEDeP/zh9fiouLJe9USxCE9lRWVqJz584xvSfpBEHoBykawZSBAyCgp8SPoPkeFwsTqoe1cOFCFBUVeb/X1dXh4osvRo/K92BOT4konW6YI7ouGGa4ff6/0PLX5T1m8TlPhMalcNnIwa1Qk3JHOT1O6foZK9yOs/gmd7IqL3ENh9I6oVYZ8FrB64Tn//jTCi3buVSU0oPAeKP3bsaDRjBl4GRnZwd4YmpqagSvpg8Wxt+r44vNZgt4SSQAmNNTYE5PjTC1yleOVuFytwiWJ83BBMscQsj0WnmVwD/nsRRC/k7RCpsZ0ZVhtNdrjRZDQkrrhFplEKgTAGCLO51QMuVqaUS4WCPVCd94Iy3DVq3SZx2QohFMbfSXl5eH0tJSwbEPPvgAQ4YMQUJCQsgw+fn5MUtnJLhgFv2EwyLw7LgFn1D4h5VzrdGwwO39xAq+hKOLI7qyirdyNgKkE9qghUYApBNqo6oHp6GhAf/73/+8348fP46DBw+iXbt2uPjii7Fw4UL88MMPePXVVwF4VkwtW7YMRUVFmDNnDsrLy7Fy5UrB6qh77rkHo0aNwuOPP47rr78e77zzDrZt24Zdu3apmRUBci3eUALlgjlAnHj442pUwHBx6tWqD4fvs46FZ4cXr2g8Oma4o+ilRX4tER2x1gn/40oQjzoRa40ASCfUQlUPzr59+zBw4EAMHDgQAFBUVISBAwfiL3/5CwCgqqoKJ06c8Ibv1q0bNm/ejO3bt2PAgAH4f//v/+GZZ57Br371K2+Y/Px8vPHGG3j55ZdxxRVXYNWqVVi3bh2GDRumZlYiRkoD8Q9jhktV40YK8dCzi2WPLdqeGvXQjI0SOqFFOceLRpBO6JO4fFWDw+GA3W5H77qPIhpbl2rpBhMtfyudF6pWcWj97jmvnzF01tIjl1j12KLpqUX6jPVQNm5HA47aR6Ourg7p6emapoV0Qh1YSkukkE5ohxyNYGqSsR6IRrSCVVb+OC9QviIWDt8wLFRMsTSzkC6pxMo9HY1LOlJ3slHd0CxCOhGcYOnVOl1yIJ3QB2TgxAjfChq88jhbXJRuWOEMEZf49bxwsFY59Wr0xELEIhWwSMvaSOJlRMLpBF9feJ0IZeDoXSdYS18wSCfYhQwcFfCv5GKi5Ubr6ghfN7MNTlhbDB1//HtwehMwX/QmZmqLWDQCFq/ipXek6kRgGGdc6ITeNAIgnWANMnBiiL9xw1dS/m8a6mGFE8loDLjGBTPMcAkqdrgKqKcKypILPRxqilgkAhav4mVUgumEuUUFeA+vDU0BRoqRdUJPGgG06gQrhk486gQZOCrjXwF9RcvZZIXb5ak85hQXbGhCGuoDKq8bniWikYoXH4de0JOQqSVi/uUcPrz8cta7eBmJUDrhdptbdMIKi81zJhmNsKJJcG086YSevDtqd4hIJ4JDBo7CBF8R4edqbhGtxoZkXHCZYba40d52GhmohRtmOGENer1c8ZIahkX0YuyoYejIFS/PNfLKWa/1Qu/I0YnGhiQ4z3t2WLZmOZGGBmSgFgBIJ1rQi4FGOhFbmNrJOF5ww9Jq3JxKAb5ORN3X2bgcXyETp2BFE6xwBuy9EO1eDHrfn0IPe2wovWdGJPtiyH0+LD9PPaLED4HXe+Myw3nehgunUnDhVArcbjNyUYks/NTixVFHJ/SKHjQCIJ2IFWTgyCBa4fK6nVu8NxfOW4FqAG8DeAi4ARuQgVrYfFZQ+a6WCIWcyqfHiuoP60Km9AZhcgUsHsTLqHjn4LjNaDpvxYWGZOB/AP4HpJnrMQo70RE1LZOM+T1wxHXCv85ILWeW25ZUWNcIQHtDx+g6QQaOioRyG7pcZsBlAc4DmAj0fu+A4Hx4gyawEss1cvRWWYPBel6UNnSkhzW2eBmFsMMLLhPQACAVGIAK9MBRwWk1y431tiUV1o0dNTpE0sMaVydoDo5GWCxuILEJ6JyI1Mt+xlB8goMYiEYke5ui6HUtkwiVQi9j11JgfeKhUpMN5aygkFu+eh1rNzSJzcBwCzpcWok0NGA38lGLDDhhDaoVoXQi0tU0AHttKhJYn9en1Dwd0gkycDTBbPZUpoREJ9DZiY4pNTiHZFQiF/VIi9k24II0GUjAeFjOkxKGqpzJhXIESS/iFQ9YLG4kZtTDYnEjE6dwDkmoQUc0wUY6oQAsGztKGjrxqhNk4GiENdEJs8UNq82z700TrKhFRkuPzNI6XydEEYlV3GgrnR4qrVxYFWUlBCyexcvomM1uj064zEiyeSYUN8GGM8iABW6vTgChe+mkE9IgneDDGkcnyMCRgfyldYHLNH2+wGx2IxmNMMMNJ2yoR1rL/1bBfWJdgVht6NHCam8tWgGT64o2ingZFX+dsJqbkIxzMMMFJ6w4h2Rv2fjuiE46oQys5ot0Qj40yVgjzHB5dyL1GELmls3XrQLRiixupSaqsTspL1pYzFu0kwylTiyMtxV3sUb+pM3g5db6xnBPGBfMaPKZe0M6oR6s5ot0Qjpk4MSI1uWcrbPlzXDD1rIbqUe4bGiC1adHJuUFnerDakNXAhbzFo2AxZN4GZFgOsH/z/9HOhE7WM0XGTnhoSEqDfAVMR7f8XRf/I9pMbGQh1XXrRKwmLdIJyJLdUUbxQ1tVHx1wuxTF5yw+u1fTDoRC1gc4o5m2CoedII8OArjb1X7Wsq+DaTVwdwqBr6uZ9/ln5FUmFjsjcGixR4trOVNbW+O3ntoekWuTvC0qoZ+dMKIsJY30glxyMCJMcEahu/qKf/jLMNaQ1cSlvIWqYAZWbyMjG/d8y13PeoEa50GJWEtX6QTQmJi4Dz//PPo1q0bEhMTMXjwYHz88cdBw86aNQsmkyng06dPH2+YVatWiYY5f/686nmJpODEdx12iVZE/96Z/zlWYa2hKwlLeSPx0gdK6oQYetYJI8KSRgCkEzyqGzjr1q3D/Pnz8eCDD6KiogIjR47EpEmTcOLECdHwTz/9NKqqqryfyspKtGvXDjfddJMgXHp6uiBcVVUVEhMT1c6OJMQql9AFHViRfIVKKYHSooKx1tCVhJW8RdJLU1q8iOgJphN8WYXSCTcsutUJVtqRGrCUNxaMHK1R3cB58sknMXv2bNxxxx3o3bs3li5ditzcXCxfvlw0vN1uR3Z2tvezb98+nDlzBr/97W8F4UwmkyBcdna22lmJGikvQuMnfLnQugTU93+9wFJDVxpW8qWlkcPKMzAqUle56FknjK4RLORN686Q1s9AVQPH6XRi//79KCgoEBwvKCjA7t27JcWxcuVKjB8/Hl26dBEcb2hoQJcuXdC5c2dMmTIFFRUVQeNoamqCw+EQfNQmXKUSjqtbWv629s54QgmW1J0ptYSVhq40rOQrnsVLaUgntIGVtqQGrOQtXnVCVQPn1KlTcLvdyMrKEhzPyspCdXV12OurqqqwZcsW3HHHHYLjvXr1wqpVq/Duu+9i7dq1SExMxIgRI3Ds2DHReIqLi2G3272f3NzcyDMFdQrMX6CUEiUWGhfATkNXGhbyFa/ipTSkE9rCQltSCxbyFo86EZNJxiaTSfCd47iAY2KsWrUKGRkZuOGGGwTHhw8fjpkzZ6J///4YOXIk3nzzTfTo0QPPPvusaDwLFy5EXV2d91NZWRlxXuQgt0IFLvsMLl6s98qCYdQVFVrnSa4r2gjipTSkE2ygdVtSE63zFW86oWrtz8zMhNlsDvDW1NTUBHh1/OE4Di+99BIKCwthtfpvayWkTZs2uPLKK4N6cGw2G2w2m7zEh8EMaRsaiW3EJKWCuWFuuYfvu6ykv0tED/AVnuUlrnLROk9yNgeU8gI+qfVcajiWIZ1gC98fRL3XLV9YyFe86ISqHhyr1YrBgwejtLRUcLy0tBT5+fkhr92xYwf+97//Yfbs2WHvw3EcDh48iJycnKjSqya85RxMtPhVEaE27uJjkIvWvYZwGLHHprU3Ryp676EZDdIJcVhOWzSQTqiL6iZ+UVERCgsLMWTIEOTl5WHFihU4ceIE7rrrLgAet/APP/yAV199VXDdypUrMWzYMPTt2zcgzsWLF2P48OHo3r07HA4HnnnmGRw8eBDPPfec2tkRoJQ1yvfC5J4zGkbwAviipTcnXnpoekBNnWj14BhfJ7T2jqoF6YR6qG7gzJgxA6dPn8aSJUtQVVWFvn37YvPmzd5VUVVVVQF74tTV1aGkpARPP/20aJy1tbX4/e9/j+rqatjtdgwcOBA7d+7E0KFD1c5OTOAL3rfiG128eIwoYlr96GslXkRs8NeFeNEJI2oEEH86EYv8mjiO41S9A4M4HA7Y7Xb0rvsI5vTUqOOLppD4xupxOHvcgPwbhH3P+/8fyzRqiV7THQwt8iNnb5Rw4iU1/ZHm0+1owFH7aNTV1SE9PT2iOJSCdIJ99JZeKWiVJ73ohByNoHdRKYBSvSbfSiM2vq6EQOoNvaY7GNqsJFBurJ3FcXa9QDqhPEadv0c6oQxk4CiEkgUVetMu4/VYwmE0ESPxil8ieSbBriGdaMWIdY10InrIwFEQuQUltlwwXO9M7Hu8YCRDR4u8GE289IoSQ0ikE4EYSR94SCeigwwchVGqoFx+oiUmXvEmYDxGEjGWxSscWouXniGdUA+jGjqxxCg6QQaODggmXvwxqQJmpEZvJBFjVbykvvBRWlzGKCuWUUonjILR6hzphHzIwFGBSAvJ3/0sNsYeTKTiTbx4jCJiehUvOek2SlkphVY6EU9aYaSOEEA6IRcycFRC6YYlRZTiTbx4jCJgrOZDSfEihCilE/5DVf7/+xPqnBHL00h5YjUvLOoEGTgqE6xQwxV2JL0z3/PxZuiw2ujlEst8GGkyod6JViciwf+lnb7HjYiR6h7phDT0/TY2nRBtYblghgXC7dil7FpqVKEKhlF2ODX6jsFGz1+kaKUTfLh4wEh1z0h5EUOJ/JEHhzGELuZA+1OpDb2MjBF6arHKgxa9MyJ6SCcix0jzckgnQkMGjk5wBREsEi9xjCBgRhYvI5QPi5BOSMcodZB0Ijhk4DBIsN5ZsJ1LSbzEMYqAxQKj7HsRT5BORA/VQXnoTSfIwNEB4VzQYt8JD3oXMBbTz/K+F/EM6URkGKEOspgHFnSCDBydEcwFLfZdKkYakxbDyHlTEi16Z3LDEtJQQyeMjBHqIItDVeFQWyfIwGGUQFESd0FHK1a+laZ10ajxDB4954fFtCvZO/PEx14e9UCkOhGJbvjrg9HKzGj5YQGtdYIMHAOg1mRCowmZnvNh9N4ZoT7RaEOofXqMpBN6zwPphBAycBhGau8s3HVKYBQR03v6WUJK74yGqtSHdEJZ9Jx2FlFaJ+RABg7jxNIFLRW999r0mGaAzd6Z1i5owoPaOhHtkJbe0GOaeYyuE3LyFxMD5/nnn0e3bt2QmJiIwYMH4+OPPw4advv27TCZTAGfr7/+WhCupKQEl19+OWw2Gy6//HJs2LBB7WwwSbTipYQhpEch01Na9Q49a+3RetIxaQQRDjWet+oGzrp16zB//nw8+OCDqKiowMiRIzFp0iScOHEi5HVHjhxBVVWV99O9e3fvufLycsyYMQOFhYU4dOgQCgsLMX36dHzyySdqZ0cTQvXOAO3Fyxc9iZhe0umLXntnenzWekMvOqEnY0cPaRSDdMKDieM4TtEY/Rg2bBgGDRqE5cuXe4/17t0bN9xwA4qLiwPCb9++HWPHjsWZM2eQkZEhGueMGTPgcDiwZcsW77GJEyeibdu2WLt2bdg0ORwO2O129K77COb0VPmZ0gj/wvetML4VTayShKo4ajcG1pelsp4+f2KV3lDzN/yR8tJHSR5FRwMO269GXV0d0tPTJd9fDUgnpJ9TApbbIctpC4ZRdUKORqjqwXE6ndi/fz8KCgoExwsKCrB79+6Q1w4cOBA5OTkYN24cysrKBOfKy8sD4pwwYULQOJuamuBwOAQfI6DW0nGl0UtvjYgcI3hxSCe0hWWdYDVdeiPWOqGqgXPq1Cm43W5kZWUJjmdlZaG6ulr0mpycHKxYsQIlJSVYv349evbsiXHjxmHnzp3eMNXV1bLiLC4uht1u935yc3OjzJk2hBMkVlzQwWBVwFhMUyhYdD8bAdKJ0NfGSkNY1Qm9QToBCf4iBTCZTILvHMcFHOPp2bMnevbs6f2el5eHyspK/OMf/8CoUaMiinPhwoUoKiryfnc4HMjNzYUZF2TnhTXcsAS1it0wS6rkUsMpBX8vFowuIraY4Wa23IPphBFQQidiDWt1hbX06BUzXGGHqpR61qoaOJmZmTCbzQGelZqamgAPTCiGDx+O1157zfs9OztbVpw2mw02m030nN4qrZgY+YqXC2aBRe0bnjUhY+nZs5QWvSJFuFiGdII9nWCtM6S3ehDvqDpEZbVaMXjwYJSWlgqOl5aWIj8/X3I8FRUVyMnJ8X7Py8sLiPODDz6QFacvenOJijUwLTf3igaWnj0r6SDYhKW6KgXSCXVgJR1GR4nnrHp3q6ioCIWFhRgyZAjy8vKwYsUKnDhxAnfddRcAj1v4hx9+wKuvvgoAWLp0Kbp27Yo+ffrA6XTitddeQ0lJCUpKSrxx3nPPPRg1ahQef/xxXH/99XjnnXewbds27Nq1K6q06sk6l9NDY6lHFgxWnj0r6QhHrNJpgVvWKolYup+1Qk/pJ52Ib/SsE0qg+h1mzJiB06dPY8mSJaiqqkLfvn2xefNmdOnSBQBQVVUl2BPH6XRiwYIF+OGHH5CUlIQ+ffpg06ZNmDx5sjdMfn4+3njjDTz00EN4+OGHcemll2LdunUYNmxY1OnVUwOKVLzEr9Ne3FhzRxNEMEgntIOFZ89CGojwqL4PDovw+1v0rdsGc3pKwHm9VVzx/SxC730hdw+MWKN1GWh9fymwuM8FIG2vC084kSEURvfBsaYniYbRQz3hCbU/DqA/nWDh2bOQhnAYTSeY2QdHr7DSgKUiZ1mo1Gu0Rm9lQBCsI2en42DXsARpBBEOMnCCoLfGE068xMKxLF6AtmWgt/JnCakv1jPCM9ZbHoymE1o/f63vr2dioRNk4IRAb5VX6huF9YTeyoCIP/RWR42mE3p7/kTsIAMnDHprPFLESy+9Mx6tykBvZU9oh97qitF0gry92sPijsZk4EhAbxWYf1dv6/fQ4uV7XTDMcAk+sUZvZWAk1BQuI5Wr3vISC52IpVbo7fkT0om0bMnAkYgeG08w8fI/L0Wwgh03uoDpsdxZQAsjmAX0WF/U1Anfc7GoE+TtDYTttKlbJ8jAMThi4iV1nF36JDBtvDqEMWBZgCNBj/mJhU7wYdXWCj0+fyI8kZQrGTgy0GvD8XVF+4uXkmPrRhUvvZY7QcghVjoBqN9zJ50gADJwdAsvRsE+wa7x/A3soSlt6KgJCQnBOqzUUbkawV/j+au+TqipFayUAaEdZODIhIVGI0VkgomYmHiJhYtWeEi8CKNgxgWtkxAR4XQilLETK53g4zDKEDfpEluQgaMz5PagxETMX7zCxW+B2/uRi1GMHBIudaHnqy1K6wQrWkH1yljILU8ycOKIYOLlCtGT8xeqSATMSD00gtAD0QwlKaET/DG5ho4RjBwyqtiBDBwdocT4t3AioVC8/AknTpEYOkpDXhx2iXejVs/1RWudULru6LksjI6aOiHtdZ6E4RAfdw98g7CYMPhfa4Fb1pJSqW+RlYoZbsVXeRCxx+ytgUQ0KNkWpOqE2PdodMITn/JaQcQXVHsMTihBsfgZBi6YJfV0xAwKuUYOEPxFfywTj8aUHt9PRMgjWp0Q041odcITh3JaEcu2G486wSI0RKUTImks4YTEd0N1j0vaInBNiy0u5RETNC3H28kFTRDq6gQff6x1whNPfA936gEWO0L660ITkghV2fx7Q2a4WsJbW767BefE4zAr0kshNzRBaIccnWjF2mLytF6rtk7w94hWK8izEl/ExIPz/PPPo1u3bkhMTMTgwYPx8ccfBw27fv16XHPNNejQoQPS09ORl5eH999/XxBm1apVMJlMAZ/z58+rnRVNkNsg5YoWvy7KBTOcsHp7aXxfzQand6IgL2S8EeTfQ9OydxYrLw55iwgpxPqHNLY6YRN4cGKhE554lNh3h3QiXlDdwFm3bh3mz5+PBx98EBUVFRg5ciQmTZqEEydOiIbfuXMnrrnmGmzevBn79+/H2LFjMXXqVFRUVAjCpaeno6qqSvBJTExUOzu6xl+0fJ3KTljhhA1NsKERyV7xsracscLp45xm18ghCCI6pOhEI5LRiGQ4YQPg0YBY6IQnHtIKQhqqjw08+eSTmD17Nu644w4AwNKlS/H+++9j+fLlKC4uDgi/dOlSwffHHnsM77zzDt577z0MHDjQe9xkMiE7O1vVtLOAkr0ysXj5v77j7E5YYYYbGahFMhphhRNOWNEEG5wtw1iea4NXH7mTCQFyQRP63TVYa7TQCTfMsKIJGahFEhphgxNumFXXCSB6rSCdiA9U9eA4nU7s378fBQUFguMFBQXYvXu3pDguXLiA+vp6tGvXTnC8oaEBXbp0QefOnTFlypQADw8hJJQYuFr6XE63DeeaknGqrj1+RCfUIgNpqEcWfkIGamFDk2ASIT892fO/Mu5Yvbigyf1MGBGpOtFwNg2nz3p0oh5pSMY5dPTRCX9PjtI64YmLPDlEaFT14Jw6dQputxtZWVmC41lZWaiurpYUxz//+U+cPXsW06dP9x7r1asXVq1ahX79+sHhcODpp5/GiBEjcOjQIXTv3j0gjqamJjQ1NXm/OxyOCHMU23F1te4V9GWcLjOazltxviEZ50+2Q33nVHSy/4ipeA/7MBhNsHrH36X0vLTqnRFEJCipE7FEC51wucw4X5uGhu86wNnLhk7mHzEWZTiOrl6Txuyz0goI7jWJVCc8cUauFeTFMT4xmWRsMpkE3zmOCzgmxtq1a7Fo0SKsW7cOHTt29B4fPnw4Zs6cif79+2PkyJF488030aNHDzz77LOi8RQXF8Nut3s/ubm50WUoBqix3FN6RGagFjj/73bY5h6Pq68sRydUIRnnYGvpmYktBWWpd0YeFkIuSuoEyz+cyumEBTgF/LL1Irx1+tf4Hy7D5fgKSX464TsfB1C+bZInJzQs10W1UdXAyczMhNlsDvDW1NTUBHh1/Fm3bh1mz56NN998E+PHjw8Ztk2bNrjyyitx7Ngx0fMLFy5EXV2d91NZWSkvI3GC2dIiPBa317f3y8aL8OXeS7zzcnzxFy4xIp1ICJBwEbFFjzqhxY9Xq064PDpRCzTvSsfbuAFV6OQJI7PdR6MT0UAdIWOjqoFjtVoxePBglJaWCo6XlpYiPz8/6HVr167FrFmz8Prrr+Paa68Nex+O43Dw4EHk5OSInrfZbEhPTxd8WEZLi9ticaONxQ1kAOgLoBroW/INPkc/nEOSZukiCLUhnZCOxeJGm0SnRycyAbiAT4+Mxn+Rj3NIinnaqDNEiKH6RIeioiIUFhZiyJAhyMvLw4oVK3DixAncddddADy9ph9++AGvvvoqAI9xc9ttt+Hpp5/G8OHDvd6fpKQk2O12AMDixYsxfPhwdO/eHQ6HA8888wwOHjyI5557TtW8sOzqi2zDLg/e3pPZ0zuzJjbhfKoZ6JwIpAKwANswHv3weczHrVkdY2e5LhBEMKIZnhLViQwzgESgAcB54FMMQz98DmvLiqpYEqlW0Fwc46K6gTNjxgycPn0aS5YsQVVVFfr27YvNmzejS5cuAICqqirBnjgvvPACXC4X7r77btx9993e47fffjtWrVoFAKitrcXvf/97VFdXw263Y+DAgdi5cyeGDh2qdnZUR+uGZra4YbG4kZDoRHMGgETPPheVTblIs9WjPU7DhiafpaLqTwamScfaweL266wTizasxj3ktLEAnUj1pOcndxYyzLVoj9MCrwq1X0Ip5GwlYeI4jlMxLUzicDhgt9vRt24bzOkpkq9jVbjC/QiJ70oauL8FH9bZZPWulHC7PNcmpzaio+0nZOI00lAvmGjsH5fc9EkhGoFU58dA+x/+WKQh2rKTW25ux1l8YR+Puro6zYeISCdC64TbbYbzvDWoTvB74/jrRLD0K2VMR6IVRvb0Gk0n5GgEmdUS0atohYN3z/ou1TRb3J6Pywy3q3US3jkkox5OAPDue6x2+lrTSV4cgn3iSScAwJroDKkTnle+uMJOIlbSUxiJVtAwlTGhXwxGYKVxmeGCWFLMFo+wNcEKM5IBtO5kCgSugqChDYJQHj3qhOelnKQTROwhA0fHKOcdEfbO+B6Q2eyz103L//wmfwC8HpzYvbyOvDgEIZd40wnPvUgriBht9Kd31O41qelyltvIeVHyvijP7BYIGH9vfrdS37ePsyootNcFEQtY1AnpcZNOkE4YDzZrGhFzxMagefHyFSRepFpn3zQBsMLaMuYudr2y6aSeGUFIRekhoHA60fo/b8y4W944Hlud4OMlrYhvqPQ1RtNXMgTBfyKhvwC1rqxw+whI607HrasmLKLXE0S0fPbZZ7Kvufzyy2Gx6FPytNKJUJNvpehE4HYSpBNE7NBna48h6rqF1XZpR168vAs6lEh6zllhDXJeLQGjnhkxYMAAmEwmSN3lok2bNjh69CguueQSVdLDyuTfSIhmxZGYTvhOJPY1bKTohNJGDmlFfEMlrzOUnjAY7liw5Z3CtwQHpsk3LjUFTCq0DNR4fPLJJ+jQoUPYcBzHoW/fvjFIkTqw6OX1J1qdYMWbQzphLMjA0QhWvTdSGrivIPHfw8WntJFDPbP4ZvTo0bjsssuQkZEhKfyoUaOQlKS/d6nFi074xsuni4asiGihX4gQsGbJs7ZnRLjn42vcqGHkEOrCWn3zpaysTFb4zZs3q5QS9mCt3LTWCeoMxS+0TNyASGnM4bwucvEXVX6JaLB76V1waEkpwcNaRyhWKNEGjK4ThLZQ7dEAPYypS6V1no3Lb7zd1frqB2+PzN9lHV0PjXpmBOCZY/PWW2+hrKwMNTU1uHBB+DK+9evXa5Sy6FBbJ2LddsTu57usPJhOEGzD6m8TQAYOEYRIJtv5V3Rf8fKNk8SLUJJ77rkHK1aswNixY5GVlQWTyaR1kgyD1OElKfHw7V7sB9HiZ9wYZUibJi1rCxk4BkMrj4a/CPk2an/xCnWdmpDYGJPXXnsN69evx+TJk7VOim5gRSf806JW50eOt5d0wjjQHJwYo6fhKali45sn3zH1YMdIPAglsdvtqu1voyf0qBOhjgk1g/rihHzIwAkC/QiHJtyEQLdXrCx+YYJPKCSISFi0aBEWL16Mc+fOaZ0UxTBy+yCdIGIFmcUGQmovRw3R8B9jF9/NVLy3F80wFU00Jm666SasXbsWHTt2RNeuXZGQkCA4f+DAAdXuTT/AHiKds+e/QaD/wgRf9DwXh9AG+mVgHK1nqMsVLv8X7vFxCMPQRGNCOWbNmoX9+/dj5syZcTvJmOXVU8J785OIA3UCoPdREcoSk5r+/PPP44knnkBVVRX69OmDpUuXYuTIkUHD79ixA0VFRfjyyy/RqVMn3H///bjrrrsEYUpKSvDwww/jm2++waWXXoq//vWvmDZtmtpZISQi1jvzhwwdQgk2bdqE999/H1dddZXWSTEUSninomnjYiuqCEIOqs/BWbduHebPn48HH3wQFRUVGDlyJCZNmoQTJ06Ihj9+/DgmT56MkSNHoqKiAn/+858xb948lJSUeMOUl5djxowZKCwsxKFDh1BYWIjp06fjk08+UTs7RJSQS59QmtzcXKSnp2udDCICgnmeSCcIJTBxUl/HGyHDhg3DoEGDsHz5cu+x3r1744YbbkBxcXFA+D/96U949913cfjwYe+xu+66C4cOHUJ5eTkAYMaMGXA4HNiyZYs3zMSJE9G2bVusXbs2bJocDgfsdjv61m2DOT1FNIxaDSzavWVCx63OHJxg4f17Vfx33s1saZk+yJ8zw+U95nvc95pIkONyV7JctRZhte+vxPCo3OEQt+MsvrCPR11dnWSjZdOmTXj22Wfxr3/9C127do0gleKQTsjPm9g1UnXCVyP4cKQT7N8/1johRyNU9eA4nU7s378fBQUFguMFBQXYvXu36DXl5eUB4SdMmIB9+/ahubk5ZJhgcTY1NcHhcAg+WqB1RVeb1pUPNLWLiB0zZ85EWVkZLr30UqSlpaFdu3aCj1RY0Yl4hV9NpfW8Q8I4qPpLdOrUKbjdbmRlZQmOZ2Vlobq6WvSa6upq0fAulwunTp1CTk5O0DDB4iwuLsbixYujyAkRKTR+TqjN0qVLFYmHdIIgjEVMutr+qxo4jgu50kEsvP9xOXEuXLgQRUVF3u8OhwO5ubnSEk9EBRk3hNrcfvvtisRDOkEQxkJVAyczMxNmsznAs1JTUxPggeHJzs4WDW+xWNC+ffuQYYLFabPZYLPZIs2GYhh9C3AlxskJQgoOh0PWxOL6+nqkpaWFDMOKTsQr/nNwCCJaVJ2DY7VaMXjwYJSWlgqOl5aWIj8/X/SavLy8gPAffPABhgwZ4t3AK1iYYHES2kLCRShN27ZtUVNTIzn8RRddhG+//VbFFBFG7rwR+kT1IaqioiIUFhZiyJAhyMvLw4oVK3DixAnvvjYLFy7EDz/8gFdffRWAZ8XUsmXLUFRUhDlz5qC8vBwrV64UrI665557MGrUKDz++OO4/vrr8c4772Dbtm3YtWuX2tkhooSGrAgl4DgO//73v5GamiopPL9AgWCLYJ0e0glCCVQ3cGbMmIHTp09jyZIlqKqqQt++fbF582Z06dIFAFBVVSXYE6dbt27YvHkz7r33Xjz33HPo1KkTnnnmGfzqV7/yhsnPz8cbb7yBhx56CA8//DAuvfRSrFu3DsOGDVM7O4REpHhrSMSISLn44ovx4osvSg6fnZ0d8AoHIjRKDKlH08b9l4gThFxU3weHRfS0vwUgfZ8BNfa3CBVWbH8Lsb0tPOeC74HDn48U2t9CHfSyD45aGFUnPPHHRivk7oHjf8w/DtIJ9u4ft/vgELFFauNXo0fkG6e/98bXuBG/NjaiRRBKQ94FD5H8iIp5edXSCSI+IQMnCCRcoRF7Pr4C5N8r87+Oni9BBMfI7YN0gogVZODEmEgarFarj6T2yvy9N/559D9GokUQyqNHnQh1TKmhKSJ+IQPHYGglBGI9MP+l4eG8Pmqj9Vg4QbACKzrBHws1NKUEWs2/IbSFDBxClEjH1KW+NM/zP/XKCIJlwhkd0XpvgnWCjKITZCxpCxk4GqCnYapw+I6fi42nqzk0RROM45tx48Zh/fr1Qc+fOnUKl1xySQxTpCxq60SsDQf/lZSx0glCXVj9bQLIwDEkUoQrlIgosSLCEsRr03p//fbKAOqZsUBZWRmmT5+ORx55RPS82+3G999/r3o64vUHWYk2YHSdILSFDJwQsCZcrFnKvi5mf5ezv2gZxeUcT7BW38RYvnw5nn76aUybNg0NDQ1aJ4cJWCs3rXWCPL3xCxk4GqG28RSpOEjplYlv8CcmYiRahLpcf/31KC8vx1dffYW8vDzDvW8qXnTCf0UVdYIIJSADR2co1TsTEyixYy6YBR+eQKES36mYFdGiISXj0rt3b3z66afIzc3FlVdeiW3btmmdJEXRw5w9MY0ApOtEa3gX6QShGGTghEHNHhSrvTMAomLlH7cFbljhDNoj8w2rpGiR94bwx263Y9OmTZgzZw4mT56Mp556Kqb3Z204Ww5y26avESCmE8KOkDydUBrSiviGSl9jzJD/QjsL3Iq8/yMY/nHzIuG7Wsq/R2aF03uOh9zMhJqYTKaA73/7298wcOBAzJ49Gx999JFGKVMerXQi1D3FdMJ/ZRTpBKEl5MEhAAQbsrIE9IB4sTLDDSuafHpnbp9z6rmZqUdG8AR7T/CMGTOwa9cufP755zFOEXsoPVQVTidaO0Pa6oRvWoj4hWqABCLpPakdv9TemRkuWQ2dj9MrWG4fd7NZ+LZfoWix2wujcXVjUlZWhnbt2omeGzBgAPbv349NmzbFLD0s6oT0uJXRCbM5cEM/0glCK8jA0TFKDVXxDVtMtNyuFuGyeITLiiZY4UQyGr29Mz4tvqgxhEY9MsKX0aNHhzzfvn173HbbbTFKDbvEUicAT0dIS53wTRsR31AtYAS1e39SccPi7Y25XULhspjdsLWIlhVO2FpESwxeyNScK0QQ8YYedcL/dQy+kE4QakIGjkRiISxaTCT075UBrYLlcpnhdnmqSHJqI5LQiDTUIw31ghUQbm+PLjAdyvUeqaoS7BNPOgEAzvPWoDqRhEbYWoamfOPw/1+J9AnTKl8rWDAaCeWhXw0DIFccgjVmvlfmdpnRdN6G5vNW4LzNczK1EZk4jfY4DRuaBG5qXnBZ6V36wlp6CEIrlNYJ53lrq07wQ9kZ9V6d8J1v46sTakIdIW1Qe2VvpKi6iurMmTMoLCyE3W6H3W5HYWEhamtrg4Zvbm7Gn/70J/Tr1w8pKSno1KkTbrvtNvz444+CcGPGjIHJZBJ8br75ZjWzEjO03k+D99w0n7cCtYlAtQk4ZUKurRJd8R0yUNsyPOVsmUSo/qRBEi3tYG3bfz0Qizasxj3ktOVAnUgAahOQZf4JuahEBmqRjHMx1QkiPnDLMFtUNXBuvfVWHDx4EFu3bsXWrVtx8OBBFBYWBg3f2NiIAwcO4OGHH8aBAwewfv16HD16FNddd11A2Dlz5qCqqsr7eeGFF9TMCgDtjY9QhPohCicuLn6tQ4v3xnneBjQkAicBfAHgJDAe25CFn7yTBmNFNMaN2itaCEJvRGOwiupEbYtOnASQCAzFJ+iEH2OuE0DkWkFeXuOiWtf48OHD2Lp1K/bs2YNhw4YBAF588UXk5eXhyJEj6NmzZ8A1drsdpaWlgmPPPvsshg4dihMnTuDiiy/2Hk9OTkZ2drZaydcULYd6XC4zLrjMQC08xk0v4Oi1ufgYI/E/XIZGJGuSLoIghGiuE+etHp04BSAVGNpzB0ZgN46jG5pgi2l6yMtLiKGaB6e8vBx2u91r3ADA8OHDYbfbsXv3bsnx1NXVwWQyISMjQ3B8zZo1yMzMRJ8+fbBgwQLU19cHjaOpqQkOh0PwIQLxroRwmQEXAAvQ4doT6D78pKiY8j26UEQ3sZFEi4gdetQJLTyJvium4AKQASRc5cANeBsdUeMJI7PdazV/g7w3xka1X5Dq6mp07Ngx4HjHjh1RXV0tKY7z58/jgQcewK233or09HTv8d/85jfo1q0bsrOz8cUXX2DhwoU4dOhQgPeHp7i4GIsXL44sIxqhxUoJfq8bWNxARgISZ/2CsShD6Z6r8CM6oRFJaILVuxcpT6hVVJESrXFDwkXIRUmdYHHCPY+iE0IzgXZX/YAJ5vdxGf6HI+iBc3464d8RUvq5UEcoNCzXRbWR7cFZtGhRwARf/8++ffsABL4rBvBsry523J/m5mbcfPPNuHDhAp5//nnBuTlz5mD8+PHo27cvbr75Zrz11lvYtm0bDhw4IBrXwoULUVdX5/1UVlbKzbaXWPaY1LpXqHhtiU6kZtSjQ58TGGLfj074EbuRj9Noj3NIhhM2r2iFI1IRJcEitEBJnYglsdYJs8Xt0YnMWmT3+Rb9zJ8jA7X4DP1QgyzUIw38W6h8CfYjq5WXN15/9OMJ2bVj7ty5YVcsde3aFZ999hl++umngHM///wzsrKyQl7f3NyM6dOn4/jx4/joo48E3hsxBg0ahISEBBw7dgyDBg0KOG+z2WCzxXZMmDVCbcXOTzw0m12AGbDY3GiP08hALeqRhibY4IQVTS3GTavHxqK490YJ4yYWwkXiaDxIJ+TphM3mRHucQhrq0YgkuJEFN8xevfD13rDo5SWMj+wakpmZiczMzLDh8vLyUFdXh08//RRDhw4FAHzyySeoq6tDfn5+0Ot44+bYsWMoKytD+/btw97ryy+/RHNzM3JycqRnRCfIdS9Kf0dV6941vsfMcCO5ZaMuAGhEssCwEXM5ixFJr0wvxg2hHnKWgBKtaKUTyTgHADiHZK8ho7ZOADSETUhDNTXp3bs3Jk6ciDlz5mDPnj3Ys2cP5syZgylTpghWUPXq1QsbNmwAALhcLvz617/Gvn37sGbNGrjdblRXV6O6uhpOpxMA8M0332DJkiXYt28fvvvuO2zevBk33XQTBg4ciBEjRqiVHUPgv1zc7CNH1hYfjUe0Wpd4OlvO+PfIgOBzb7QybgiCiB45OsG/Y8oNc0x0whMPaQUhDVW7S2vWrEG/fv1QUFCAgoICXHHFFVi9erUgzJEjR1BXVwcAOHnyJN59912cPHkSAwYMQE5OjvfDr7yyWq348MMPMWHCBPTs2RPz5s1DQUEBtm3bBrPZmFa53DF2uXvieOTIFdD/4oWqCdaWEGwbN7HqlVHvj5BCrFc4xVInrGjy3i9WOuGJRz9eXtIJ7VHVFG7Xrh1ee+21kGE4jvP+37VrV8F3MXJzc7Fjxw5F0mdkQrmgxcTL0tI7s/kIFxAoKKHeJ0OeG4LQF3J0gjeIrN7diSPTiUjRk3FDsAH9uugENZaN+/bgfEfNxV6O548SQqGkcUPCRRD60AnqCBkTFt9HRbXG4ITbmp0XKX6tgxSiFS09i1U8GlIsChehLNHqhP9EZP6YP3LrkV47QfGoEyyi318aIip8BcvzV9gr45HSULU2bkhMjAGVozIoubGbVJ0AwpeflsYNEZ9QDdIRSgiX/3JPz1+XaK/MBXPInh0LgkW9MnaJ9x8oPdcX0gkiVqipE/GtQHFGKNEK1ivjxYkXMBo/Jwj2ibQz5K8BcnTC38hhRStibdyQMcUO9MujM+QKl5gY+YqWlPAAm3tWkPfGONDz1ZZwOuFvvITqDEWKEYwbQl3kT6AnZMFCg5Fi5AR9j4yfceO/3JPHDYuoASQVtb02LJQDER+40UaXtS2cToTaN0esE6SGTvBxGAXSJbYwTs2KMyLZREzMuIkmvmCQcUPEO6zUUdIJIp4hA0cGem0wwrk3QtHSk2B57hH7MtBruROEHGKlE4AxjRvSCfagN9sZnFCiFQ6pIuTZGYNsZSIyjPbDoMf8xEIn+LBGNG4I9YmkXOlXSSJ6bDRioiV2PlTvjBcj/+u1MGioV6Yf4tXg1WN9UVMnfM/FAq2eP8vlznba1K0b8alCMmG5gogRuNSzVXRCuZylCJhW6K0MjISauxgbqVz1lhej6YTenj8hnUjLloaowqC3RiNXtGL9xuNIoF4ZwTp6qytG0wktn7/eyl4tWHydCxk4IdBbxZUiWnpDb2VAxB96q6NG0wm9PX8idpCBEwS9NZpQohUsHPXK2Ly33pE+OV3/z1hveTCaTmj9/LW+v56JhU6QgSOC3iptOAES65WxLFqA/sqAIFgnnHGjN50gjSDCQQaOzhGfBCjucmZZrHzRWri0vn88YIRnrKc8yOkE6UEnWHj2LKTB6ET7jGkVlR96qrSRGjdyV0bECj09eyK+0VNdJZ0wZhqI8KjqwTlz5gwKCwtht9tht9tRWFiI2trakNfMmjULJpNJ8Bk+fLggTFNTE/74xz8iMzMTKSkpuO6663Dy5Mmo06unSms0zw0rz56VdIQjVumUuzJCyri6Xp5xMPSUftKJ+EbPOqEEqho4t956Kw4ePIitW7di69atOHjwIAoLC8NeN3HiRFRVVXk/mzdvFpyfP38+NmzYgDfeeAO7du1CQ0MDpkyZArc7sgbqed2kfhpONKLFmoix9OxZSQfBJizVVSmQTqgDK+kwOko8Z9XMqMOHD2Pr1q3Ys2cPhg0bBgB48cUXkZeXhyNHjqBnz55Br7XZbMjOzhY9V1dXh5UrV2L16tUYP348AOC1115Dbm4utm3bhgkTJshKp94qqxzRknKtlrD07FlKi17RejNINdFb/TCKTrD23FlLDxEa1Tw45eXlsNvtXuMGAIYPHw673Y7du3eHvHb79u3o2LEjevTogTlz5qCmpsZ7bv/+/WhubkZBQYH3WKdOndC3b9+g8TY1NcHhcAg+AOA2wBzrYMs8PeekCVWsBY2l3hgRW1gu92A6YQSU0IlYw1pdYS09eiWWw9iq/cJXV1ejY8eOAcc7duyI6urqoNdNmjQJa9aswUcffYR//vOf2Lt3L66++mo0NTV547VarWjbtq3guqysrKDxFhcXe+cB2e125ObmRpEz7YhmJQQLIsaqYcNimkLB6ri63iGdCH1trDSEVZ3QG6QTERg4ixYtCpgE7P/Zt28fAMBkMgVcz3Gc6HGeGTNm4Nprr0Xfvn0xdepUbNmyBUePHsWmTZtCpitUvAsXLkRdXZ33U1lZKSPH7KKXyYIkWMbHCJOLSSe0hWWdYDVdeiPWOiF70Hzu3Lm4+eabQ4bp2rUrPvvsM/z0008B537++WdkZWVJvl9OTg66dOmCY8eOAQCys7PhdDpx5swZgRenpqYG+fn5onHYbDbYbDbJ92QRqTuQSrk2FuhFEPSSTkJ9SCdIJ8TQQxoJcWQbOJmZmcjMzAwbLi8vD3V1dfj0008xdOhQAMAnn3yCurq6oIaIGKdPn0ZlZSVycnIAAIMHD0ZCQgJKS0sxffp0AEBVVRW++OIL/P3vf5ebHV0gZwdSrYem9CQGekorD4tuZyN4b4yAXnRCT3VBT2n1hXTCg2pzcHr37o2JEydizpw52LNnD/bs2YM5c+ZgypQpghVUvXr1woYNGwAADQ0NWLBgAcrLy/Hdd99h+/btmDp1KjIzMzFt2jQAgN1ux+zZs3Hffffhww8/REVFBWbOnIl+/fp5V1XFE9GKlhLCxruW9SQGekqr3qFnrT1aGzekEUQ41Hjeqq7rXLNmDebNm+dd8XTddddh2bJlgjBHjhxBXV0dAMBsNuPzzz/Hq6++itraWuTk5GDs2LFYt24d0tLSvNc89dRTsFgsmD59Os6dO4dx48Zh1apVMJuNVyGlvvk3lqKl94av1/TrtVcmB72WjdaorROR6Imey5LSHh6tdEJO/kwcx3GK3VknOBwO2O129K77COb0VK2TExSpouUfVo4YSQ2r5wbvi57zwZpwKe1ydsMMt6MBR+2jUVdXh/T0dMnXqgHpRPB7BEPP7YtH73kwuk44Hecka4Rxd+aKIyIVrXDovaH7o+f8sCZaUtDz8zYi0WiDG2bR641WxnrPD+mEEDJwGCVSl7NcfIVL7407FHrOG4tpp6EpNojlELbRy8jo+dMCrXWCDBydoca8G6M3bKPnTym06pVR+SiP1pOK9YYR6qDRvTeR5E//7yqIA8T2siDRkobehYvF9Gs1YZAIDelEZBihDrKYBxZ0ggwcBhHOqQn/gjwSLXFYbPSsokWvjMonOkgnoofqoDz0phNk4OiEYC5nEi1xjCBcLLqcw/XKyLjRFtIJ6RilDpJOBIfm4DBGsF6Z+HkSLTGMIFxGFi0iekgnIsdI9ZR0IjRk4MQAsQKVIzp8r0yuaMXDsk5fjJI3FvPBwni60dFKJ/zDGbl8jJQ3FvPCmk7QEJXKBCukcIXH98rExtPDiRa/KXo8wWJjj4RY5kNv4+lGRg2dCEfryxPiYyKykeoe6YQ0yIOjEkpXwFi9V0qPGEW4WBUtllzORkNNnQimB+F0wojlaaQ8kU5IhwwcFYi0IHnhicR7Q8aNvmE1H0qKFqt51ArSCfUxWp1jNT+s6gQZODqgVdDkD1f5wmrjiATKS+Qo+Q4ZqRipvFhFKZ0wCkarc6QT8iEDR2GUGzsUilW8jJNLwUjCxapoSYHm3UQO6YR6GLG+kU5EBhk4CiK3gHzfA+XvdhYeI9ECjCVcWuRFj/tYGJFongnpRHCMWNdIJ6KDVlEphLLjhsGFKd5EC4B3rYdRINGKXyJ5JsGuIZ1oxYh1jXQiesiDowBKFVC4Xlk0oqVXAdBruoNBohW/kE4oj97SKwWt8mREnSADJ0qUnxRFW60DxhMuI4iW9HiMVXZKQDqhPEasZ6QTykIGDoP4b75FoqVvjCJaRiwbPROvc26MWg9JJ5RH1Tk4Z86cQWFhIex2O+x2OwoLC1FbWxvyGpPJJPp54oknvGHGjBkTcP7mm29WMyuiKOdyprF0gK2GoQRazh3SSrSMVoZKoKZOhFoabjSMNhePh3RCPVT14Nx66604efIktm7dCgD4/e9/j8LCQrz33ntBr6mqqhJ837JlC2bPno1f/epXguNz5szBkiVLvN+TkpIUTLny+FYk8Y25XLB4q3qwVRGesXe5LkLWRYH19EWClnkyumgZGdIJcVhOWzSQTqiLagbO4cOHsXXrVuzZswfDhg0DALz44ovIy8vDkSNH0LNnT9HrsrOzBd/feecdjB07FpdccongeHJyckDYWCK1kMQqkQvmsO+OEVsO2nrOpdg4qJYYUbS0zlM8iJaeIJ2IHKPWKRbyFS86odoQVXl5Oex2u9e4AYDhw4fDbrdj9+7dkuL46aefsGnTJsyePTvg3Jo1a5CZmYk+ffpgwYIFqK+vDxpPU1MTHA6H4BML5G6W5P/yOzHRag0b/BzLuH1yaSS0zpML5rgRLbUgnWADrduSmmidr3jTCdXM++rqanTs2DHgeMeOHVFdXS0pjldeeQVpaWm48cYbBcd/85vfoFu3bsjOzsYXX3yBhQsX4tChQygtLRWNp7i4GIsXL5afiSAoUVD+vTP/nppSwqR1g+JhJR1Kw0K+5P5A6l201IJFnfDHyDrBQhrUgoW8xaNOyPbgLFq0KOhEYP6zb98+AJ4Jw/5wHCd6XIyXXnoJv/nNb5CYmCg4PmfOHIwfPx59+/bFzTffjLfeegvbtm3DgQMHRONZuHAh6urqvJ/KykqZuZaPnMrEi1Rrz6xVtEJv5sV+78yovTFW8hWPoqUWLOqE73mj6gQrbUkNWMlbvOqEbA/O3Llzw65Y6tq1Kz777DP89NNPAed+/vlnZGVlhb3Pxx9/jCNHjmDdunVhww4aNAgJCQk4duwYBg0aFHDeZrPBZrOFjUdt+EojxaUs5t1R8v0gasNCo1YLVvIWr6KlFqzoBOApKymGiZ51woh1iIeVvEVSF4ykE7INnMzMTGRmZoYNl5eXh7q6Onz66acYOnQoAOCTTz5BXV0d8vPzw16/cuVKDB48GP379w8b9ssvv0RzczNycnLCZyAGiFUq30ojJl6+Y+rhJhZKRYvKpXWFVhNW8qa1aBHKEI1O8KuplCDW5W7kesZS3kgnVJxk3Lt3b0ycOBFz5szBnj17sGfPHsyZMwdTpkwRrKDq1asXNmzYILjW4XDgP//5D+64446AeL/55hssWbIE+/btw3fffYfNmzfjpptuwsCBAzFixAi1suMlksIVqzRuWEQroO8SUP/ln0oJmhqw4opVA5byxoJosfIsWEZJnRBDzzphRFjSCIB0gkfVjf7WrFmDfv36oaCgAAUFBbjiiiuwevVqQZgjR46grq5OcOyNN94Ax3G45ZZbAuK0Wq348MMPMWHCBPTs2RPz5s1DQUEBtm3bBrNZ+wcajmANge+V6W13UtYatpKwlDe5qx94jCha8YBv3RPOw9GfThh15STAlkYApBP+mDiO47RORKxxOByw2+3oXfcRzOmpsq4NV3D+lUvochaeM8MNG5qQhEakoQHJaAwQKv4aMbHzj19OOqOBlcqrBqzlLZr5FHoULbejAUfto1FXV4f09HTV7xcKlnQiGY2woglpaIANTbDCKXo/0onYwFre4kkn5GiEfneB0jHiHhxXwMoIzxi8WxDeArdmkwhZa9RKwmLeIi1nqZu7sSRaRCC+z9yN1m0lrHCSTmgAi/lS27DxhNOvTpCBEyN8e1i+lbIJNiShEZYWbw4vVC6Y4bsTqb+AaZF2I8Ji3ki04pdgOuHy0QQzXLDBSToRI1jNF+lEeMjA0Qg3LD49L89fT8/MDSesAKLpwStT0VissErAar6i7XHHi2ixjtxnFqrceJ3gh6Q8HSGnYCibdEIdWM0X6YR0yMCRQbTC1To90AK32wy3ywzYgDTUt4yv13vv4YTVW5Fj3StjtbJGC6v5ipVgecLqX7SMjphONNqSWnTC6fX4NsHm7QyJDVPFIp1GhNV8kU7IhwwcjXCet6LpvA2NDclIa1+PZJxDBmpRj7QWt3PrmHvwCYJiy0qjbQTsVtZIYTVPSsyRiEfRihfcbrNXJ9wuM9qm1MKGJrRFLZpg8+qE22+YKiAehXXCqHWD1XyRTkSOqsvECXHcbk+laD5vRfPJdNSc7QgrmpCLSqShXpN9LFhb7qgELOeJRIuQgstlRnNDEhqqM3EKmUjCOXREjaY6YSRYXsIe6ZJvf+JZJ8jA0QiXywyctwEngYbtHfAphmEAKrxLxYPta6H0yghWG3ckCLc+Yy9PvGAp4WqWM45uNNGKO84nAHtM+PnDi1GPVORjNzJQ652zJ6YVoepYJGXMapuKBJY1AlDWsIl3nSADR0VCvUvGYnEDFheQCGArcHiq8B1a4SpQtG5nlhu4XFjPi1KCBajXG4skPKEMYd85ZeGAVAANwEEMxFH0EJxWey8bI9QLvRg1pBPKQnNwZBDtJD6+p+U2u2G2uNEm0YkL2QnArwFkAG9jGtwwo6ll4iDAW+HhG6bUdOmpcoaC9Xwo72mT11SNLFpGxwzPHjZmsxu2RCecqY24cFkKAKC2KQM7baOQiVNwwuott2A6IbbQQQpGqA96yAPphLqQgaMBZrhgtpiRnNqIRgAXMsywZ9biK1yO9jgNN8yCVVQ80Q9t6Kty+qOH9GstWJ5rjC1arKPEaiZ+fo2vTpgtblhtTlQi1xs/6YQQvaSddCI2kIGjMMF2EPUXPXOLFyc5tREAkGRrxGm0h+9uxkr2yvRYOQH9pFuNXWNJtIyLHJ2wJjphtngMHhuaUI9U1CIDVjQBIJ0A9JNu0onYQgaOyvgv3/SdEGi1AbB5/uf3tahHGpLR6A3DVyy+YcgVLT1WTD2lWa3t8NV2NUd6DaEOoXQC5pYOUcvuOG5Y0IhkeJaH81tJxJdO6Cm9ar4yg3QiNGTgxBC+d+a/6sECzy7G/NCUJ2zgxEMji5ae0sqSYHmuiS/RMjr+OuG7HJw/F486oZd08pBOaA8ZOCrg734We1dMsOWd/ARja8CZVowgWHpIoy9qv7gwEsHyXBd/omUUpOqEL7xB0+Q1cALD8OhdJ1hPnxikE2xBBk6M8BcvsfMAP57ueR9VMOEKBqsVktV0hSMWb2OOpWBFcx0RG8LpBA+vE5HAah1gNV3hIJ1gFzJwZCJ1hYTYJEJfI8b/uK8bOvC6UELHVkVkLT1yiYVYAZELlufa+BYtPUA6ERyW0hIppBP6gAwcFQm+UiLMxl4t8C5qFisci2mKlFiJFaCNYEV7LaEuRtUJ1tITLaQT+oMMHJUJJl7+YXzhK7fFR7TkDldFi9Equhh6ESzP9SRaRoZ0gk1iqREA6YTSqPqqhr/+9a/Iz89HcnIyMjIyJF3DcRwWLVqETp06ISkpCWPGjMGXX34pCNPU1IQ//vGPyMzMREpKCq677jqcPHlShRyII1dEQr0UL1C0WiuZb+NSuvLx+2YE+xgR3+3QY+liJtGKT0gn9EmsNQIgnVALVQ0cp9OJm266CX/4wx8kX/P3v/8dTz75JJYtW4a9e/ciOzsb11xzDerr671h5s+fjw0bNuCNN97Arl270NDQgClTpsDtjv3bdaVi8VZh4Scc/uIlVVziUZiCEWuxApQTLBKt+IJ0Qhu0MGoA0gm1UXWIavHixQCAVatWSQrPcRyWLl2KBx98EDfeeCMA4JVXXkFWVhZef/113Hnnnairq8PKlSuxevVqjB8/HgDw2muvITc3F9u2bcOECRNUyYva+Pf23LB4x+BdMIuKnJErZjTEWqR8iVasWuOJLg9UN7QnFmXQuuLKJaj3vnphtLqgZfuWi1J6IIxTmfwbrV6IwdQcnOPHj6O6uhoFBQXeYzabDaNHj8bu3btx5513Yv/+/WhubhaE6dSpE/r27Yvdu3eLGjhNTU1oamryfq+rqwMAuB1no0qvshXE14C54D3SuqIitAs7ntFa8IQi1hQ0nLS4oneq6lm4+DbJcVzM7x1MJ5yO8zAz9EylqYBJ5VRoyQWtEyADp9YJMBxyNIIpA6e6uhoAkJWVJTielZWF77//3hvGarWibdu2AWH46/0pLi72epN8OZo7VYlkEwShMPX19bDb7TG9ZzCd+CZ3ckzTQRBEeKRohGwDZ9GiRaIi4MvevXsxZMgQuVF7MZmEvQ+O4wKO+RMqzMKFC1FUVOT9fuHCBfzyyy9o37696DUOhwO5ubmorKxEenp6BDlgn3jII0D51Bscx6G+vh6dOnWK+b3l6IRRnnc44iGf8ZBHwDj5lKMRsg2cuXPn4uabbw4ZpmvXrnKjBQBkZ2cD8HhpcnJyvMdramq8Xp3s7Gw4nU6cOXNG4MWpqalBfn6+aLw2mw02m01wTMqqrvT0dF1XBCnEQx4ByqeeiLXnhicSnTDC85ZCPOQzHvIIGCOfUjVCtoGTmZmJzMxM2QmSQrdu3ZCdnY3S0lIMHDgQgGcl1o4dO/D4448DAAYPHoyEhASUlpZi+vTpAICqqip88cUX+Pvf/65KugiCIAiC0BeqzsE5ceIEfvnlF5w4cQJutxsHDx4EAFx22WVITU0FAPTq1QvFxcWYNm0aTCYT5s+fj8ceewzdu3dH9+7d8dhjjyE5ORm33norAI/lNnv2bNx3331o37492rVrhwULFqBfv37eVVUEQRAEQcQ3qho4f/nLX/DKK694v/NembKyMowZMwYAcOTIEe9qBQC4//77ce7cOfzf//0fzpw5g2HDhuGDDz5AWlqaN8xTTz0Fi8WC6dOn49y5cxg3bhxWrVoFs1mZlQ42mw2PPPJIgLvaSMRDHgHKJ6EO8fK84yGf8ZBHIH7y6YuJ02I9JkEQBEEQhIqoupMxQRAEQRCEFpCBQxAEQRCE4SADhyAIgiAIw0EGDkEQBEEQhiNuDZznn38e3bp1Q2JiIgYPHoyPP/44aNjt27fDZDIFfL7++usYplgeO3fuxNSpU9GpUyeYTCa8/fbbYa/ZsWMHBg8ejMTERFxyySX417/+pX5Co0RuPvVYlsXFxbjyyiuRlpaGjh074oYbbsCRI0fCXqfH8mQJ0ohA9FinSCOCo8fylENcGjjr1q3D/Pnz8eCDD6KiogIjR47EpEmTcOLEiZDXHTlyBFVVVd5P9+7dY5Ri+Zw9exb9+/fHsmXLJIU/fvw4Jk+ejJEjR6KiogJ//vOfMW/ePJSUlKic0uiQm08ePZXljh07cPfdd2PPnj0oLS2Fy+VCQUEBzp4N/rJYvZYnK5BGBKLXOkUaIY5ey1MWXBwydOhQ7q677hIc69WrF/fAAw+Ihi8rK+MAcGfOnIlB6pQHALdhw4aQYe6//36uV69egmN33nknN3z4cBVTpixS8qn3suQ4jqupqeEAcDt27AgaxgjlqSWkEYEYoU6RRrRihPIMR9x5cJxOJ/bv34+CggLB8YKCAuzevTvktQMHDkROTg7GjRuHsrIyNZMZc8rLywOeyYQJE7Bv3z40NzdrlCr10HNZ8htjtmvXLmiYeCtPJSGNECfe6pSey5I0wkPcGTinTp2C2+32vryTJysrC9XV1aLX5OTkYMWKFSgpKcH69evRs2dPjBs3Djt37oxFkmNCdXW16DNxuVw4deqURqlSHr2XJcdxKCoqwlVXXYW+ffsGDRcv5akGpBHixEud0ntZkka0ouqrGljGZDIJvnMcF3CMp2fPnujZs6f3e15eHiorK/GPf/wDo0aNUjWdsUTsmYgd1zN6L8u5c+fis88+w65du8KGjYfyVBPSiEDioU7pvSxJI1qJOw9OZmYmzGZzQE+spqYmwJoNxfDhw3Hs2DGlk6cZ2dnZos/EYrGgffv2GqUqNuilLP/4xz/i3XffRVlZGTp37hwybDyXZ7SQRogTz3VKL2VJGiEk7gwcq9WKwYMHo7S0VHC8tLQU+fn5kuOpqKhATk6O0snTjLy8vIBn8sEHH2DIkCFISEjQKFWxgfWy5DgOc+fOxfr16/HRRx+hW7duYa+J5/KMFtIIceK5TrFelqQRQdBqdrOWvPHGG1xCQgK3cuVK7quvvuLmz5/PpaSkcN999x3HcRz3wAMPcIWFhd7wTz31FLdhwwbu6NGj3BdffME98MADHACupKREqyyEpb6+nquoqOAqKio4ANyTTz7JVVRUcN9//z3HcYF5/Pbbb7nk5GTu3nvv5b766itu5cqVXEJCAvfWW29plQVJyM2nHsvyD3/4A2e327nt27dzVVVV3k9jY6M3jFHKkxVII4xTp0gjPBilPOUQlwYOx3Hcc889x3Xp0oWzWq3coEGDBMvpbr/9dm706NHe748//jh36aWXcomJiVzbtm25q666itu0aZMGqZYOv9TR/3P77bdzHBeYR47juO3bt3MDBw7krFYr17VrV2758uWxT7hM5OZTj2Uplj8A3Msvv+wNY5TyZAnSCGPUKdIID0YpTzmYOK5lVhFBEARBEIRBiLs5OARBEARBGB8ycAiCIAiCMBxk4BAEQRAEYTjIwCEIgiAIwnCQgUMQBEEQhOEgA4cgCIIgCMNBBg5BEARBEIaDDByCIAjCcMyaNQsmkwkmkwlvv/12VHEtWrTIG9fSpUsVSR+hPmTgEARBEMzia6hYLBZcfPHF+MMf/oAzZ86EvXbixImoqqrCpEmTokrDggULUFVVFfYFlgRbWLROAEEQBEGEYuLEiXj55Zfhcrnw1Vdf4Xe/+x1qa2uxdu3akNfZbDZkZ2dHff/U1FSkpqbCbDZHHRcRO8iDQxAEQTANb6h07twZBQUFmDFjBj744APZ8Xz33XcwmUx48803MXLkSCQlJeHKK6/E0aNHsXfvXgwZMgSpqamYOHEifv75ZxVyQsQSMnAIgiAI3fDtt99i69atSEhIiDiORx55BA899BAOHDgAi8WCW265Bffffz+efvppfPzxx/jmm2/wl7/8RcFUE1pAQ1QEQRAE02zcuBGpqalwu904f/48AODJJ5+MOL4FCxZgwoQJAIB77rkHt9xyCz788EOMGDECADB79mysWrUq6nQT2kIGDkEQBME0Y8eOxfLly9HY2Ih///vfOHr0KP74xz9GHN8VV1zh/T8rKwsA0K9fP8GxmpqayBNMMAENUREEQRBMk5KSgssuuwxXXHEFnnnmGTQ1NWHx4sURx+c7vGUymUSPXbhwIfIEE0xABg5BEAShKx555BH84x//wI8//qh1UgiGIQOHIAiC0BVjxoxBnz598Nhjj2mdFIJhyMAhCIIgdEdRURFefPFFVFZWap0UglFMHMdxWieCIAiCIJRk1qxZqK2tjfo1Db507doV8+fPx/z58xWLk1AP8uAQBEEQhoRfXr5x48ao4nnssceQmpqKEydOKJQyIhaQB4cgCIIwHDU1NXA4HACAnJwcpKSkRBzXL7/8gl9++QUA0KFDB9jtdkXSSKgLGTgEQRAEQRgOGqIiCIIgCMJwkIFDEARBEIThIAOHIAiCIAjDQQYOQRAEQRCGgwwcgiAIgiAMBxk4BEEQBEEYDjJwCIIgCIIwHGTgEARBEARhOMjAIQiCIAjCcPx/EAyPnHhaXPMAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Find global min and max\n",
"vmin = min(b_phi.min(), bphi_grid.min())\n",
"vmax = max(b_phi.max(), bphi_grid.max())\n",
"\n",
"fig, ax = plt.subplots(1, 2, sharey=True)\n",
"im1 = ax[0].imshow(b_phi[:, 0, :], extent=[raxis[0], raxis[-1], zaxis[0], zaxis[-1]], cmap='jet', vmin=vmin, vmax=vmax)\n",
"ax[0].set_title(\"Beams3D Bphi\")\n",
"plt.ylabel(\"Z [m]\")\n",
"im2 = ax[1].imshow(bphi_grid[0, :, :], extent=[rmin, rmax, zmin, zmax], cmap='jet', vmin=vmin, vmax=vmax)\n",
"ax[1].set_title(\"BMW Bphi\")\n",
"#plt.colorbar(im2)\n",
"plt.subplots_adjust(wspace=0.15)\n",
"plt.xlabel(\"R [m]\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot and Compare the Magnetic Field Along the $R$ and $z$ directions\n",
"For some reason, BMW has the boundary conditions set to 0 whereas Beams3D does not."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plot the mid row 100th for both Beams3D and BMW and compare\n",
"plt.plot(raxis, b_phi[100, 0, :], label=\"Beams3D 100th row\")\n",
"plt.plot(np.linspace(rmin, rmax, br_grid.shape[1]), bphi_grid[0, 100, :], '--', label=\"BMW 100th row\")\n",
"\n",
"# also plot the 100th column for both Beams3D and BMW\n",
"plt.plot(zaxis, b_phi[:, 0, 100], label=\"Beams3D 100th column\")\n",
"plt.plot(np.linspace(zmin, zmax, br_grid.shape[2]), bphi_grid[0, :, 100], '--', label=\"BMW 100th column\")\n",
"plt.legend()\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "base",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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Fuad-HH commented Mar 13, 2024

Information about getting these output files is given here

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