LennartNaeve_code/merging_tweezer_code/bosons/2025_03_21 (analys wf).ipynb
2025-04-25 20:52:11 +02:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import sympy as sp\n",
"from IPython.display import Math, display\n",
"from scipy import constants as const\n",
"\n",
"#add relative path to backend\n",
"import sys\n",
"sys.path.append('../../clean_diag/backend')\n",
"\n",
"import trap_units as si\n",
"from boson_helpers import *"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Get the Hubbard parameters from the results of a diagonalisation in one function call:\n",
"\n",
"## Show results for approaching tweezers:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"________________________________________________________________\n",
"d = 1.35um\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"J = 0.444561 Hz\n",
"U_s = 19.981 Hz\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"________________________________________________________________\n",
"d = 1.33um\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"J = 1.051351 Hz\n",
"U_s = 19.591 Hz\n"
]
},
{
"data": {
"image/png": 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hl8sbXVtdXQ2dTnfbWqVSCXt7+0bX1tTUQKvV3rZWoVDAwcGh0bV6vR5VVVW3rXVwcIBCoWh0rcFgQGVlpUlq7e3toVQqAQBCCFRUVJiktjE/99b4HvH5rxfw/p7zAIDZD3fHrPs6QCaT8T2C7xFm9R7x5+e3Wq2+5ed3HcJKabVaIZfLxdatW+tsnzlzpujfv/9N9VVVVUKtVhsfOTk5AsBtHw8//HCdr3d2dr5t7YABA+rUenl53bY2KiqqTm1wcPBta8PDw+vUhoeH37Y2ODi4Tm1UVNRta728vOrUDhgw4La1zs7OdWoffvjhev/e/tvIkSPrrS0rKzPWxsXF1VtbWFhorJ02bVq9tVlZWcbal156qd7akydPGmvnz59fb21SUpKx9t133623dt++fcbajz/+uN7aHTt2GGsTEhLqrf3666+NtV9//XW9tQkJCcbaHTt21Fv78ccfG2v37dtXb+27775rrE1KSqq3dv78+cbakydP1lv70ksvGWuzsrLqrZ02bZqxtrCwsN7auLg4Y21ZWVm9tSNHjqzzb7i+Wmt+j3BRtapTy/eIWnyPqCX1e4RarRYAhFqtFn/Fai+HFRUVQa/Xw8fHp852Hx8f5Ofn31S/dOlSqFQq4yMwMLClWiUisihOXAaDrITVXg7Lzc1F27ZtcfjwYcTGxhq3L168GF9++SXOnDlTp16r1dY51afRaBAYGMjLYY2s5alunurm5bDG15rze8TmxMtYtKP2HqCpA0Ix849LYHyPaHwt3yNqmdPlMKsNQTqdDs7Ozvjmm28wfPhw4/ZZs2YhLS0NBw4cqPfrG3VNkYjICm1KzMbr22onQvzbgFDeBE0WoTGf31Z7OUyhUCAyMhJ79uyps33Pnj3o16+fRF0REVmGr4/mGAPQM3e3YwAiq2TVkyXOnj0bEyZMQFRUFGJjY/H5558jOzsbU6dOlbo1IiKztfXYFbz67QkAQHy/EM4DRFbLqkPQU089heLiYixatAh5eXno1q0bfvzxRwQHB0vdGhGRWfo+7Spe+uY4hADG9w3C/EfDGYDIalntPUF3ivcEEZGt2XkiDzO3pEJvEFwNniwW7wkiIqJG2Z2Rj1l/BKCRkQEMQGQTGIKIiGzcwfPXMGNTKmoMAsMj2uKdJ3owAJFNYAgiIrJhyZdK8Oz6FOj0BjzUzRfLRvaAnAGIbARDEBGRjUq/osakhGRUVusxoKM3PhwdAXs5PxbIdvBfOxGRDTpXUIqJaxJRqq1BTLvWWDk+Egp7fiSQbeG/eCIiG3O5uBzjVyXiekU1egaosDouCk4KrgdGtochiIjIhuSpKzH2i0QUlmrR2dcN6ybFwM3RQeq2iCTBEEREZCOKyrQYtyoRV29Uop2XC9Y/EwMPZ4XUbRFJhiGIiMgGqCuqMWF1Ei5eK0dbDydsmNwHbdwc//oLiawYQxARkZUr09YgLiEJp/M08HJVYsPkPmjr4SR1W0SSYwgiIrJiVdV6PLv+KNJybsDD2QEbJ/dBOy8XqdsiMgsMQUREVqpGb8CsLak4fKEYLgo51j0dg06+blK3RWQ2GIKIiKyQEAJzt53ErowCKOR2+CIuCj0DPaRui8isMAQREVmhd/59Fl8dzYGdDPjnmAj0a+8ldUtEZochiIjIynx24AJWHrgAAHh7RA8M6eYrcUdE5okhiIjIinydnIOlP50BALz2UGc8GR0ocUdE5oshiIjISuzKyMecrScAAH8bEIq/DWgvcUdE5o0hiIjIChy+UITnN6fCIICnogIxZ0hnqVsiMnsMQUREFi79ihrPrk+BrsaAwV19sHh4N8hkMqnbIjJ7DEFERBbs4rUyxCckoUxbg9hQT3w4OgL2cr61EzUEf1KIiCxUgaYKE1Ynobhch+5tVfh8YiQcHeRSt0VkMRiCiIgskLqyGnFrkowrwq99Ohpujg5St0VkURiCiIgszJ/rgZ3JL4W3mxLrJ8XA01UpdVtEFochiIjIgugNAn//Kg2JWSVwU9pj3dMxCGztLHVbRBaJIYiIyEIIIbBwewZ+OpkPhdwOn02MRLi/u9RtEVkshiAiIgvxyb5MrD9yGTIZ8H9P9eR6YER3iCGIiMgCfJ2cg+W7zwEA5j8Sjkd6+EvcEZHlYwgiIjJzP58uwGvb0gEA0wa2R/xd7STuiMg6MAQREZmxlMvXMX3TMegNAk/0DsDLgztJ3RKR1WAIIiIyU5mFZXhmXTKqqg0Y1Mkbbz/RncthEJkQQxARkRkq0FQhbk0SblRUo2egBz4Z1xsOXA6DyKT4E0VEZGZKq6oRn5CMqzcqEerlgoT4aDgr7KVui8jqMAQREZkRXY0Bz204htN5Gni5KrBuUgxauyikbovIKjEEERGZCSEE5mw9gUOZRXBWyLEmPpqzQRM1I4YgIiIz8X97zmHrsauQ28nwydje6BHgIXVLRFaNIYiIyAxsSszGR79kAgCWDO+GQZ3bSNwRkfVjCCIiktjPpwsw77vayRBn3dcBT0UHSdwRkW1gCCIiktDxnBuYsSkVBgGMigzAC/d3kLolIpvBEEREJJHLxeWYtDYZldV69O/ojSUjOBkiUUtiCCIikkBxmRZxa5JQXK5DV393fMrJEIlaHH/iiIhaWKVOj8nrj+JScQXaejghIT4arkpOhkjU0hiCiIhakN4g8MJXqUjNvgGVkwPWTYpGG3dHqdsiskkMQURELWjxztPYlVEAhdwOX0yMQlgbN6lbIrJZDEFERC0k4bcsrPktCwDw3pM9EdOutcQdEdk2hiAiohawKyMfi3acAgC8OqQzHu3pL3FHRMQQRETUzNJybmDWllQIAYztE4SpA0KlbomIwBBERNSssosr8MzaZFRVGzCwkzcWPdaVcwERmYlGjcn84YcfGv0NHnjgATg5OTX664iILN2NCh3i1/5nLqCPx/aGPecCIjIbjQpBjz/+eKN2LpPJcP78eYSG8tQvEdmWqmo9nl2fgovXyuGvcsQazgVEZHYa/V+S/Px8GAyGBj2cnZ2bo2ciIrNmMAi8/K8TSLpUAjelPRKejoEP5wIiMjuNCkFxcXGNurQ1fvx4uLu7N7opIiJLtmz3WWw/ngt7OxlWTohEJ1/OBURkjmRCCCF1E+ZIo9FApVJBrVYzyBFRg21OysZrW9MBAMtH9cTIyACJOyKyLY35/G7yHXr33nsvFi5ceNP269ev4957723qbk0mJCQEMpmszmPOnDlSt0VEVuzAuWuY991JAMDM+zowABGZuSbfpbd//36kp6cjNTUVGzduhIuLCwBAp9PhwIEDJmvwTixatAhTpkwxPnd1dZWwGyKyZmfyNZi+8Rj0BoEREW3x9/s7SN0SEf2FOxqruXfvXuTn56Nv3764dOmSiVoyHTc3N/j6+hof9YUgrVYLjUZT50FE1BAFmipMSkhGmbYGfdq1xtInunMuICILcEchyM/PDwcOHECPHj0QHR2N/fv3m6gt03jnnXfg6emJXr16YfHixdDpdLetXbp0KVQqlfERGBjYgp0SkaWq0NXgmXXJyFVXIdTbBZ9NiITSXi51W0TUAE0OQX/+L0epVGLjxo2YNWsWhgwZgk8//dRkzd2JWbNmYcuWLdi3bx9mzJiBDz74ANOmTbtt/WuvvQa1Wm185OTktGC3RGSJ9AaBmZtTcfKqBq1dFEiIj4aHs0LqtoiogZo8OszOzg75+flo06aNcdu3336LuLg4VFZWQq/Xm6zJPy1YsOCWN2P/t+TkZERFRd20/dtvv8XIkSNRVFQET0/Pv/xeHB1GRH9l4fYMJPx2CQp7O2ye0heRwa2kbonI5jXm87vJN0ZnZWXB29u7zrYnnngCnTt3xtGjR5u623rNmDEDo0ePrrcmJCTkltv79u0LAMjMzGxQCCIiqs/a37KQ8NslAMD7T/ZiACKyQE0OQcHBwbfc3rVrV3Tt2rXJDdXHy8sLXl5eTfra1NRUALX3MRER3Ym9pwqwaMcpAMCrQzpjaA++rxBZokaHoIaOmpLyEtKRI0fw+++/Y9CgQVCpVEhOTsbf//53PPbYYwgKCpKsLyKyfCevqvH85lQYBDA6OhBTB3BtRCJL1egQ5OHhUe/QTyEEZDJZs9wT1FBKpRJfffUVFi5cCK1Wi+DgYEyZMgWvvPKKZD0RkeXLvVGJSWuTUVmtxz0dvPDm4904FJ7IgjU6BO3bt8/4eyEEHn74YaxatQpt27Y1aWN3onfv3vj999+lboOIrEhpVTUmrU1GYakWnXzc8Mm43nCQ39EsI0QksUaHoAEDBtR5LpfL0bdvX4SG8pQwEVmnGr0BMzal4kx+KbzdlFgdHwV3Rwep2yKiO8T/xhAR1UMIgYXbT+HAuWtwdLDD6rgoBLRylrotIjIBhiAionqs+e0Svvz9MmQy4IOnItAjwEPqlojIREwSgnhjIBFZo90Z+XhrZ+1Q+Ncf6oIh3Xwl7oiITKnR9wSNGDGizvOqqipMnTrVuIr8n7Zu3XpnnRERSSj9ihqztqRBCGBsnyBMvqed1C0RkYk1OgSpVKo6z8ePH2+yZoiIzEHujUo8s+4/Q+EXPtaVZ7yJrFCjQ1BCQkJz9EFEZBbKtDXGofAdfVw5FJ7IijXqJ/vEiRMwGAwNrs/IyEBNTU2jmyIikkLtUPhjOJNfCi9XJdbER3MoPJEVa1QIioiIQHFxcYPrY2NjkZ2d3eimiIhamhACi3acwv6zHApPZCsadTlMCIF//OMfcHZu2BuDTqdrUlNERC0t4bdLWH/kz6HwvdAz0EPqloiomTUqBPXv3x9nz55tcH1sbCycnJwa3RQRUUvae6oAb/4xFH7OkM4Y0o2rwhPZgkaFoP379zdTG0RE0jh5VY2ZW1IhBDAmJhDP9ucSQES2gkMeiMhm5alrh8JX6GqHwi8axlXhiWwJQxAR2aRybQ2eWXsUBRotOrThUHgiW8SfeCKyOXqDwKwtqTiVp4GXq4JD4YlsFEMQEdmct3aewt7ThVDa2+HziVEIbM2h8ES2iCGIiGzK+iOXkPDbJQDA/z3ZC72DWknbEBFJptHLZvwpOTkZc+bMwbVr1xAWFoZevXoZH0FBQabskYjIJPadKcSCHzIAAC8P7oShPTgUnsiWNflM0IQJEyCXyzF16lSEhobiwIEDePrppxESEgJPT09T9khEdMdO52kwY9MxGAQwMjIA0wa2l7olIpJYk88E5eTkYOfOnWjfvu4byeXLl5GWlnanfRERmUyhpgrPrE1GuU6P2FBPLBnenUPhiajpIeiuu+5CTk7OTSEoODgYwcHBd9wYEZEpVOhqMHn9UeSqqxDq7YKV4yOhsOftkETUyBA0bNgw9OzZEz179sTUqVOxaNEidO/enZe/iMgs6Q0CL2xJw4krarRydsCauGionDkUnohqNSoEdejQAYcPH8aKFSuMq8l36tQJw4YNQ2xsLCIiItC9e3coFIpmaZaIqDHe/uk0dp8qgEJeOxQ+xMtF6paIyIzIhBCiKV945coVpKWl1XlkZWVBLpejc+fOOHHihKl7bVEajQYqlQpqtRru7u5St0NEjbQx8TLmbjsJAPhwdC8M69VW4o6IqCU05vO7yfcEBQQEICAgAI888ohxW1lZGVJTUy0+ABGRZTtw7hre+L52KPzf7+/IAEREt9TouwNff/11JCUl3fI1V1dX3HPPPZg+ffodN0ZE1BRn80sxfeMx6A0CIyLaYuZ9YVK3RERmqtEhKC8vD4888gj8/Pzw7LPPYufOndBqtc3RGxFRoxSWVmHS2mSUaWsQ0641lj7BofBEdHuNDkEJCQkoKCjA119/DQ8PD7z44ovw8vLCiBEjsHbtWhQVFTVHn0RE9arU6TFl3VFcvVGJdl4u+Gx8JJT2cqnbIiIz1uQbo//b6dOnsX37dnz//fdITk5G37598dhjj2HMmDFo29Yyr8Xzxmgiy2EwCEzbeAz/zsiHh7MDtk27C+04EozIJjXm8/uOZwzLzs5Gly5d8Morr+C3337D1atXER8fj4MHD2Lz5s13unsior/0zr/P4N8Z+bVD4SdEMQARUYM0eXTYnyZOnIjLly8jMDAQPXr0MD6eeuopuLjwjYiImtfmpGx89utFAMA7I7sjpl1riTsiIktxx2eC9u/fj6ysLAwfPhw5OTnIzMzEvHnz4OHhgU6dOpmiRyKiWzp4/hrmfVc7F9AL93fA8IgAiTsiIktyx2eC/rR+/XqkpqYan+/evRubNm0y1e6JiOo4m1+KaRtqh8IPj2iLWfd1kLolIrIwJltF0NHREWfPnjU+f/DBB3Hy5ElT7Z6IyKhQUzsUvvSPofBvcyg8ETWByc4ErVq1CqNGjcKgQYPQo0cPZGRkmGrXRERGFboaPPPHUPhQLxd8PoFD4YmoaUwyOgwAunbtiqSkJPTt2xdZWVkIDAzETz/9dMcNEhH9SW8QmLUlDelX1WjtosCa+Gh4OHPBZiJqmmYZHfbII4+ge/fuHB1GRCa1eOdp7DlVAIW9Hb6YGMlV4YnojnB0GBFZhHWHL2HNb1kAgPdG9URkMIfCE9Gd4egwIjJ7P58uwMLttfcZvjy4Ex7t6S9xR0RkDTg6jIjM2smrajy/ORUGATwVFYhpA9tL3RIRWQmODiMis5WnrsQz65JRodPj7jAvvDW8G4fCE5HJmOxMEEeHEZEplWlr8HRCMgo0WnT0ccWn43vDQW6ytywiosafCYqKikJkZKTx0aNHDzg4OACovSQ2ZswYkzdJRLalWm/A9I3HcCa/FF6uSqyJj4a7o4PUbRGRlWl0CIqNjUVKSgo2bNiAyspKKBQKdO3aFf369cPo0aNx1113NUefRGQjhBB44/uTOHDuGpwc5FgdF4WAVs5St0VEVkgmhBBN+UK9Xo+MjAwcPXoUR48exd69e3HhwgVMmDABCQkJFn/dXqPRQKVSQa1Ww93dXep2iGzGJ/sysWzXWdjJgM8mROGBcB+pWyIiC9KYz+8mh6Bb2bNnD8aNG4clS5Zg8uTJptqtJBiCiFre92lXMWtLGgBg4WNdEdcvRNJ+iMjyNObz26R3GT7wwAN466238Nlnn5lyt0RkAxIvFuPlb04AACbf3Y4BiIiancmHWvTt2xeZmZmm3i0RWbHMwjI8+2UKdHoDHurmi9cf7iJ1S0RkAxodgj755BMkJSVBq9Xe8vVr164ZR4sREf2Va6VaxCckQV1Zjd5BHnj/qV6ws7PsewqJyDI0enTYvHnzoNFoYG9vj/DwcERFRSEqKgpdunRBRUUFXnvtNfTv3785eiUiK1Ohq8Hkdcm4cr0SwZ7O+GJiFBwd5FK3RUQ2otEh6Pr167hw4QJSUlKMj2+//RY3btwAAHTu3BnLly83dZ9EZGX0BoGZm9Nw/IoarZwdsPbpGHi6KqVui4hsiMlGh125cgXV1dVo166dKXZXr8WLF2Pnzp1IS0uDQqEwBrD/lp2djenTp+OXX36Bk5MTxo4di+XLl0OhUDToe3B0GFHzEUJg4fZTWHv4EhT2dtg0uQ+iQrgqPBHducZ8fpts7bCAgABT7eov6XQ6jBo1CrGxsVi9evVNr+v1egwdOhTe3t44dOgQiouLERcXByEEPvrooxbrk4hubfWhLKw9fAkA8P6TvRiAiEgSJgtBLWnhwoUAgLVr197y9d27d+PUqVPIycmBv78/AOC9995DfHw8Fi9ezDM7RBLaeSIPi388DQB47aHOGNrDT+KOiMhWWeVqhEeOHEG3bt2MAQgABg8eDK1Wi5SUlFt+jVarhUajqfMgItNKyirB379OgxDAxNhgPNs/VOqWiMiGWWUIys/Ph49P3an2W7VqBYVCgfz8/Ft+zdKlS6FSqYyPwMDAlmiVyGZkFpZiyvqj0NUY8EC4D+Y/2tXil9chIstmNiFowYIFkMlk9T6OHj3a4P3d6s1VCHHbN93XXnsNarXa+MjJyWnyn4WI6irUVCFuTTLUldWICPLAP0dHQM65gIhIYmZzT9CMGTMwevToemtCQkIatC9fX18kJibW2Xb9+nVUV1ffdIboT0qlEkolh+cSmVqZtgZPr03G1RuVaOflgtVx0XBScC4gIpKe2YQgLy8veHl5mWRfsbGxWLx4MfLy8uDnV3vT5e7du6FUKhEZGWmS70FEf61ab8C0jceQkauBl6sC656OQWuXhk1TQUTU3MwmBDVGdnY2SkpKkJ2dDb1ej7S0NABAWFgYXF1d8eCDDyI8PBwTJkzAsmXLUFJSgpdeeglTpkzhyDCiFiKEwOtb0/HruWtwcpBjdVw0gjydpW6LiMjIIkPQG2+8gXXr1hmfR0REAAD27duHgQMHQi6XY+fOnZg2bRruuuuuOpMlElHL+GDveXyTcgV2MuCTcRHoGeghdUtERHWYbMZoa8MZo4ma7qvkbLz6bToAYMnw7hjbJ0jijojIVjTm89tsRocRkXXYd7YQr287CQB4/t4wBiAiMlsMQURkMsdzbmD6xmPQGwRG9G6L2Q90lLolIqLbYggiIpPIKirH02uTUaHT454OXnh7RA9OhkhEZo0hiIjuWGFpFSauSURJuQ7d26qwYnwkFPZ8eyEi88Z3KSK6I6VV1Yhfk4yckkoEezoj4elouCotcuApEdkYhiAiajJtjR5/+zIFp/JqJ0NcPykGXq6ceZ2ILANDEBE1icEgMPvr4zh8oRguCjnWPh2DYE8XqdsiImowhiAiajQhBBbtOIWdJ/LgIJfhswlR6NZWJXVbRESNwhBERI228sBFrD18CQCwfFRP3N3BNOv+ERG1JIYgImqUf6VcwTv/PgMAmDe0C4b1aitxR0RETcMQREQNtu9sIV799gQA4G/9QzH5nlCJOyIiajqGICJqkGPZ1zFtQ+1s0MMj2uLVIZ2lbomI6I4wBBHRXzpXUIpJa5NRWa1H/47eeHdkD9jZcTZoIrJsDEFEVK+ckgpMWJ2IGxXViAjywMrxveEg51sHEVk+vpMR0W0VlWkxcU0SCjRadPRxRUJ8NJwVnA2aiKwDQxAR3VJpVTXi1iQhq6gcbT2csH5SH3g4K6Rui4jIZBiCiOgmVdV6TF53FBm5Gni6KLBhch/4qhylbouIyKQYgoiojhq9Ac9vTkViVgnclPZYNykG7by4HAYRWR+GICIyEkJgztZ07DlVAIW9Hb6I43IYRGS9GIKICEBtAFry42n8K+UK5HYyfDK2N/qGekrdFhFRs2EIIiIAteuBfXEwCwDwzhM98EC4j8QdERE1L4YgIsKmxOw664GNjAyQuCMioubHEERk475LvYq536UDAKYNbM/1wIjIZjAEEdmwXRn5ePGb4xACmBgbjJcHd5K6JSKiFsMQRGSjDp6/huc3pUJvEHiidwAWPNoVMhnXAyMi28EQRGSDki+VYMr6o9DpDXiomy/eeaI7F0QlIpvDEERkY9KvqDEpIRlV1QYM7OSND0dHwJ4LohKRDeI7H5ENOVdQiolrElGqrUGfdq2xcnwkFPZ8GyAi28R3PyIbcbm4HONXJeJ6RTV6BqiwKi4Kjg5yqdsiIpIMQxCRDchTV2LsF4koLNWis68b1k2KgZujg9RtERFJiiGIyMoVlWkxblUirt6oRDsvF6x/JgYezgqp2yIikhxDEJEVKynXYfyqRFy8Vo62Hk7YMLkP2rg5St0WEZFZYAgislI3KmoD0Jn8UrRxU2LD5D5o6+EkdVtERGaDIYjICqkrqzFhdRJO5Wng5arEpil90c7LReq2iIjMCkMQkZXRVFVj4pokpF9Vw9NFgU1T+iCsjavUbRERmR2GICIrUqatQfyaJBzPuYFWzg7YOKUPOvq4Sd0WEZFZYggishLl2ho8nZCEY9k3oHJywIbJfdDZ113qtoiIzBZDEJEVqNTp8cy6ZCRfug43R3tseKYPuvqrpG6LiMisMQQRWbiqaj0mr0/G7xdL4Kq0x/pJMegewABERPRXGIKILFhVtR7PfpmC3zKL4aKQY92kaEQEtZK6LSIii8AQRGShqqr1eG5DCn49dw1ODnIkPB2DyODWUrdFRGQx7KVugIgar6pajynrj+Lg+SI4OthhdXwUYtoxABERNQZDEJGFqdTV3gP0W2YxnBVyrI6LRmx7T6nbIiKyOAxBRBakXFuDSWuTkZhVAheFHGsnxSA6hGeAiIiagiGIyEKUVlXj6YRkHL18HW5Ke6ydFIPIYN4ETUTUVAxBRBZAU1WNuDVJSM2+AXdHe6x/pg96BXpI3RYRkUVjCCIyc+qKakxYk4gTV9RQOTlg4+Q+6NaW8wAREd0phiAiM3a9XIfxqxORkaupXQtscl+E+3MpDCIiU2AIIjJTxWVajFuViDP5pfB0UWDjFK4FRkRkSgxBRGaoQFOFCasTca6gDF6uSmye0gcduBo8EZFJMQQRmZmckgqMW5WI7JIK+LgrsWlKX7T3dpW6LSIiq8MQRGRGzheUYvzqRBRotAhq7YwNz/RBkKez1G0REVkli1w7bPHixejXrx+cnZ3h4eFxyxqZTHbTY+XKlS3bKFEjnLhyA09+dgQFGi06+rjim6mxDEBERM3IIs8E6XQ6jBo1CrGxsVi9evVt6xISEjBkyBDjc5WKw4rJPP1+sRiT1x1FmbYGPQNUWPt0DFq5KKRui4jIqllkCFq4cCEAYO3atfXWeXh4wNfXtwU6Imq6X84U4LkNx6CtMaBvaGusiouGq9IifzSJiCyKRV4Oa6gZM2bAy8sL0dHRWLlyJQwGw21rtVotNBpNnQdRc/vheC6eXZ8CbY0B93dpg7VPxzAAERG1EKt9t33zzTdx3333wcnJCT///DNefPFFFBUVYd68ebesX7p0qfEME1FL2JSYjbnfpUMIYFgvfywf1RMOcqv+fwkRkVkxm3fcBQsW3PJm5v9+HD16tMH7mzdvHmJjY9GrVy+8+OKLWLRoEZYtW3bb+tdeew1qtdr4yMnJMcUfi+iWPjtwAa9vqw1A4/oE4f0nezEAERG1MLM5EzRjxgyMHj263pqQkJAm779v377QaDQoKCiAj4/PTa8rlUoolcom75+oIQwGgSU/nsaqQ1kAgOcGtscrgztBJpNJ3BkRke0xmxDk5eUFLy+vZtt/amoqHB0dbzuknqi5aWv0eOmbE9h+PBcAMOehzpg6oL3EXRER2S6zCUGNkZ2djZKSEmRnZ0Ov1yMtLQ0AEBYWBldXV2zfvh35+fmIjY2Fk5MT9u3bh7lz5+LZZ5/l2R6ShKaqGn9bn4IjF4thbyfDuyN7YETvAKnbIiKyaRYZgt544w2sW7fO+DwiIgIAsG/fPgwcOBAODg749NNPMXv2bBgMBoSGhmLRokWYPn26VC2TDSvQVCFuTRLO5JfCRSHHygmRuKeDt9RtERHZPJkQQkjdhDnSaDRQqVRQq9Vwd+fK3dQ0mYWliFuTjKs3KuHtpkRCfDS6teWknUREzaUxn98WeSaIyBIkXyrB5HVHoa6sRqiXC9ZNikFgay6DQURkLhiCiJrBv0/mYeaWNOhqDIgI8sDquGi05jIYRERmhSGIyMTWH7mE+T9kQAjg/i4++GhMBJwUcqnbIiKi/8EQRGQieoPA2z+dxhcHa+cAGtsnCIse6wp7ToJIRGSWGIKITKBMW4NZm1Px85lCAMCLD3TEjHvDOAkiEZEZYwgiukNXrldg8rqjOJNfCqW9HZaP6olHe/pL3RYREf0FhiCiO3As+zqeXX8URWU6eLkqsSouCr0CPaRui4iIGoAhiKiJvk+7ipf/dQK6GgO6+LljdVwU/D2cpG6LiIgaiCGIqJEMBoEP9p7DP3/JBFA7AuzD0b3gouSPExGRJeG7NlEjVOr0eOlfx7HzRB4A4G/9Q/HKkM6Q2/EGaCIiS8MQRNRAhZoqTFl/FMevqOEgl2Hx493xZHSg1G0REVETMQQRNUDypRJM23gM10q18HB2wMrxkegb6il1W0REdAcYgojqIYTAusOX8NbO06gxCHT0ccXnE6IQ4uUidWtERHSHGIKIbqNSp8fr29KxLfUqAOCRHn5454kevAGaiMhK8N2c6Bayiyvwtw0pOJ2ngdxOhtce6oxn7m7HGaCJiKwIQxDR/9h3thCzNqdCU1UDL1cFPhrTG7Htef8PEZG1YQgi+oPBIPDxvky8v/cchAB6BXpgxfje8FNxAkQiImvEEEQEQF1ZjRe/TsPe07ULoI7rE4Q3Hg2H0l4ucWdERNRcGILI5qXl3MDMzanILqmAwt4Obz3eDU9Gcf4fIiJrxxBENstgEPj84EUs33UWNQaBgFZOWDEuEt0DVFK3RkRELYAhiGxSYWkVXvz6OA6eLwIADO3hhyXDu0Pl5CBxZ0RE1FIYgsjmHDh3DS9+nYaiMh0cHeyw4NGueCo6kMPfiYhsDEMQ2QxdjQHLd5/F579eBAB09nXDx2MjENbGTeLOiIhICgxBZBMuFZVj5pZUnLiiBgBMjA3G6w93gaMDR38REdkqhiCyakIIfJd2Ff/4LgNl2hqonBzw7sgeGNzVV+rWiIhIYgxBZLWulWox77t07MooAADEhLTGB6N7wd+Dkx8SERFDEFkhIQR2nMjDG9+fxPWKatjbyTDzvg6YNrA97OV2UrdHRERmgiGIrEpRmRb/+O4kfjqZDwAI93PH8lE9Ee7vLnFnRERkbhiCyGrsPJGHf3x/EiXlOtjbyTB9UBimDwqDwp5nf4iI6GYMQWTxisu0eOP7DOxMzwNQO/T9vSd7oqs/Z34mIqLbYwgii/ZTeh7mfXcSxeU6yO1kmD6wPWbc24Fnf4iI6C8xBJFFyi6uwMLtGfj5TO2q75183LB8VE+u+0VERA3GEEQWpapaj89/vYhP9mVCW2OAg1yGqQPaY8a9YVDac+JDIiJqOIYgshgHzl3D/O9P4lJxBQCgX3tPLBrWDWFtXCXujIiILBFDEJm9PHUl3txxCj+m1w57b+OmxLxHwvFoDz8uekpERE3GEERmq1pvwJpDWfjw5/Oo0Okht5Mhvl8IXri/A9wcHaRuj4iILBxDEJkdIQQOnLuGJT+exrmCMgBAVHArvPl4N3Tx46SHRERkGgxBZFZOXLmBpT+ewZGLxQCA1i4KvPZQZzzROwB2drz0RUREpsMQRGbhUlE5lu0+i50naic8VMjtENcvGNMHhcHDWSFxd0REZI0YgkhSRWVafPTzeWxMzEaNQUAmA4b3aovZD3ZEQCtnqdsjIiIrxhBEkijX1mDVwSx8/usFlOv0AIABHb3x6pDOXOyUiIhaBEMQtagKXQ02JWZj5YGLKCrTAgC6t1XhtYc6o1+Yl8TdERGRLWEIohZxo0KHdYcvY+3hLFyvqAYABLV2xsuDO2Fodz/e9ExERC2OIYiaVaGmCqsOZWHj75eNl72CPZ3xt/7tMTIygAudEhGRZBiCqFlcLi7HygMX8W3KFej0BgBAZ183TBsUhoe7+cJezvBDRETSYggikzp5VY3Pf72IHSdyYRC126JDWmHawDAM7OTNZS6IiMhsMATRHavQ1WD78VxsSszG8Stq4/aBnbwxbWAYYtq1lrA7IiKiW2MIoiY7k6/BpsRsbDt2FaXaGgCAg1yGh7r54dn+oejWViVxh0RERLfHEESNUlWtx84TediUlI2Uy9eN20M8nTEmJggjIwPg6aqUsEMiIqKGYQiiv2QwCKRkX8fOE3nYlnoV6sraIe72djI82NUHY2OC0a+9J4e5ExGRRWEIolv67+Dz08k8FGi0xtfaejhhbJ8gjIoKQBs3Rwm7JCIiajqGIDKqL/i4OdrjgXAfPNbTH/d08IacZ32IiMjCWVwIunTpEt5880388ssvyM/Ph7+/P8aPH4+5c+dCofjPauPZ2dmYPn06fvnlFzg5OWHs2LFYvnx5nRoC1JXVSLxYjEOZRdiVkX/L4PNIDz/cFeYFpb1cwk6JiIhMy+JC0JkzZ2AwGPDZZ58hLCwMJ0+exJQpU1BeXo7ly5cDAPR6PYYOHQpvb28cOnQIxcXFiIuLgxACH330kcR/AmlV6vQ4erkEhy8U43BmEdKvqo3z+QC1wefBcF8M7eHL4ENERFZNJoQQf11m3pYtW4YVK1bg4sWLAICffvoJjzzyCHJycuDv7w8A2LJlC+Lj41FYWAh395tXKddqtdBq/3MWRKPRIDAwEGq1+pb1lqJCV4NTuZra0HOhCMcu3zDO4Pyn9t4u6NfeC4M6ezP4EBGRRdNoNFCpVA36/La4M0G3olar0br1fybkO3LkCLp162YMQAAwePBgaLVapKSkYNCgQTftY+nSpVi4cGGL9NschBC4VqpFRp4Gp/M0OJWrwak8DbKKyvG/Mddf5Yh+YV7o194T/dp7wVfFm5uJiMj2WHwIunDhAj766CO89957xm35+fnw8fGpU9eqVSsoFArk5+ffcj+vvfYaZs+ebXz+55kgcyKEgLqyGrk3qpCvqUTujSrklFTg1B/Bp6hMd8uv83ZTIiakNWLbe+KuMC+EeDpz+QoiIrJ5ZhOCFixY8JdnYpKTkxEVFWV8npubiyFDhmDUqFGYPHlyndpbfcgLIW774a9UKqFUNv8kfwaDwLUyLSp1elTV6FGp06OyWg9ttQGV1fo62zWV1chVVyFfXYVcdSXyblShslp/233byYBQb1eE+7kj3N8d4X7u6OLnDm83Tl5IRET0v8wmBM2YMQOjR4+utyYkJMT4+9zcXAwaNAixsbH4/PPP69T5+voiMTGxzrbr16+jurr6pjNELa1UW4M+S36+o320dlHAT+UIP5UT2no4orNfbeDp6OMGJwXv5yEiImoIswlBXl5e8PLyalDt1atXMWjQIERGRiIhIQF2dnZ1Xo+NjcXixYuRl5cHPz8/AMDu3buhVCoRGRlp8t4bw9HBDnI7GZwc5HB0sIOjg/yP3//xq0IOR3s7OCnkcFXaG8OOn4cj/FVO8FU5wtGBQYeIiOhOWdzosNzcXAwYMABBQUFYv3495PL/BAJfX18AtUPke/XqBR8fHyxbtgwlJSWIj4/H448/3uAh8o25u7wx6rskR0RERHfGqkeH7d69G5mZmcjMzERAQECd1/7Mc3K5HDt37sS0adNw11131ZksUWoMQERERObB4s4EtZTmOhNEREREzacxn9929b5KREREZKUYgoiIiMgmMQQRERGRTWIIIiIiIpvEEEREREQ2iSGIiIiIbBJDEBEREdkkhiAiIiKySQxBREREZJMYgoiIiMgmMQQRERGRTWIIIiIiIptkcavIt5Q/15XVaDQSd0JEREQN9efndkPWh2cIuo3S0lIAQGBgoMSdEBERUWOVlpZCpVLVWyMTDYlKNshgMCA3Nxdubm6QyWQm3bdGo0FgYCBycnLg7u5u0n1T4/F4mBceD/PDY2JeeDzqJ4RAaWkp/P39YWdX/10/PBN0G3Z2dggICGjW7+Hu7s5/wGaEx8O88HiYHx4T88LjcXt/dQboT7wxmoiIiGwSQxARERHZJIYgCSiVSsyfPx9KpVLqVgg8HuaGx8P88JiYFx4P0+GN0URERGSTeCaIiIiIbBJDEBEREdkkhiAiIiKySQxBREREZJMYglrYp59+inbt2sHR0RGRkZE4ePCg1C3ZhKVLlyI6Ohpubm5o06YNHn/8cZw9e7ZOjRACCxYsgL+/P5ycnDBw4EBkZGRI1LFtWbp0KWQyGV544QXjNh6Plnf16lWMHz8enp6ecHZ2Rq9evZCSkmJ8ncek5dTU1GDevHlo164dnJycEBoaikWLFsFgMBhreDxMQFCL2bJli3BwcBBffPGFOHXqlJg1a5ZwcXERly9flro1qzd48GCRkJAgTp48KdLS0sTQoUNFUFCQKCsrM9a8/fbbws3NTXz77bciPT1dPPXUU8LPz09oNBoJO7d+SUlJIiQkRPTo0UPMmjXLuJ3Ho2WVlJSI4OBgER8fLxITE0VWVpbYu3evyMzMNNbwmLSct956S3h6eoodO3aIrKws8c033whXV1fxwQcfGGt4PO4cQ1ALiomJEVOnTq2zrXPnzmLOnDkSdWS7CgsLBQBx4MABIYQQBoNB+Pr6irfffttYU1VVJVQqlVi5cqVUbVq90tJS0aFDB7Fnzx4xYMAAYwji8Wh5r776qrj77rtv+zqPScsaOnSomDRpUp1tI0aMEOPHjxdC8HiYCi+HtRCdToeUlBQ8+OCDdbY/+OCDOHz4sERd2S61Wg0AaN26NQAgKysL+fn5dY6PUqnEgAEDeHya0fTp0zF06FDcf//9dbbzeLS8H374AVFRURg1ahTatGmDiIgIfPHFF8bXeUxa1t13342ff/4Z586dAwAcP34chw4dwsMPPwyAx8NUuIBqCykqKoJer4ePj0+d7T4+PsjPz5eoK9skhMDs2bNx9913o1u3bgBgPAa3Oj6XL19u8R5twZYtW3Ds2DEkJyff9BqPR8u7ePEiVqxYgdmzZ+P1119HUlISZs6cCaVSiYkTJ/KYtLBXX30VarUanTt3hlwuh16vx+LFizFmzBgA/BkxFYagFiaTyeo8F0LctI2a14wZM3DixAkcOnToptd4fFpGTk4OZs2ahd27d8PR0fG2dTweLcdgMCAqKgpLliwBAERERCAjIwMrVqzAxIkTjXU8Ji3jq6++woYNG7Bp0yZ07doVaWlpeOGFF+Dv74+4uDhjHY/HneHlsBbi5eUFuVx+01mfwsLCm5I8NZ/nn38eP/zwA/bt24eAgADjdl9fXwDg8WkhKSkpKCwsRGRkJOzt7WFvb48DBw7gn//8J+zt7Y1/5zweLcfPzw/h4eF1tnXp0gXZ2dkA+DPS0l5++WXMmTMHo0ePRvfu3TFhwgT8/e9/x9KlSwHweJgKQ1ALUSgUiIyMxJ49e+ps37NnD/r16ydRV7ZDCIEZM2Zg69at+OWXX9CuXbs6r7dr1w6+vr51jo9Op8OBAwd4fJrBfffdh/T0dKSlpRkfUVFRGDduHNLS0hAaGsrj0cLuuuuum6aNOHfuHIKDgwHwZ6SlVVRUwM6u7ke0XC43DpHn8TARCW/Ktjl/DpFfvXq1OHXqlHjhhReEi4uLuHTpktStWb3nnntOqFQqsX//fpGXl2d8VFRUGGvefvttoVKpxNatW0V6eroYM2YMh5u2oP8eHSYEj0dLS0pKEvb29mLx4sXi/PnzYuPGjcLZ2Vls2LDBWMNj0nLi4uJE27ZtjUPkt27dKry8vMQrr7xirOHxuHMMQS3sk08+EcHBwUKhUIjevXsbh2hT8wJwy0dCQoKxxmAwiPnz5wtfX1+hVCpF//79RXp6unRN25j/DUE8Hi1v+/btolu3bkKpVIrOnTuLzz//vM7rPCYtR6PRiFmzZomgoCDh6OgoQkNDxdy5c4VWqzXW8HjcOZkQQkh5JoqIiIhICrwniIiIiGwSQxARERHZJIYgIiIiskkMQURERGSTGIKIiIjIJjEEERERkU1iCCIiIiKbxBBERERENokhiIha3P79+yGTyXDjxg2pWwEALFiwADKZDDKZDB988EG9tTKZDN99951Jv398fLzx+5t630R0ewxBRNSsBg4ciBdeeKFZ9m3K0NC1a1fk5eXh2WefNcn+GuPDDz9EXl5ei39fIltnL3UDRETmwN7eHr6+vpJ8b5VKBZVKJcn3JrJlPBNERM0mPj4eBw4cwIcffmi83HPp0iXj6ykpKYiKioKzszP69euHs2fP1vn67du3IzIyEo6OjggNDcXChQtRU1MDAAgJCQEADB8+HDKZzPj8woULGDZsGHx8fODq6oro6Gjs3bu3Sf2fP38e/fv3h6OjI8LDw7Fnz56baq5evYqnnnoKrVq1gqenJ4YNG1bnz1hTU4OZM2fCw8MDnp6eePXVVxEXF4fHH3+8ST0RkekwBBFRs/nwww8RGxuLKVOmIC8vD3l5eQgMDDS+PnfuXLz33ns4evQo7O3tMWnSJONru3btwvjx4zFz5kycOnUKn332GdauXYvFixcDAJKTkwEACQkJyMvLMz4vKyvDww8/jL179yI1NRWDBw/Go48+iuzs7Eb1bjAYMGLECMjlcvz+++9YuXIlXn311To1FRUVGDRoEFxdXfHrr7/i0KFDcHV1xZAhQ6DT6QAA77zzDjZu3IiEhAT89ttv0Gg0vO+HyFxIvYw9EVm3AQMGiFmzZtXZtm/fPgFA7N2717ht586dAoCorKwUQghxzz33iCVLltT5ui+//FL4+fkZnwMQ27Zt+8sewsPDxUcffXTb1+fPny969uxZZ9uuXbuEXC4XOTk5xm0//fRTne+5evVq0alTJ2EwGIw1Wq1WODk5iV27dgkhhPDx8RHLli0zvl5TUyOCgoLEsGHDbuqjoX8eIjIN3hNERJLp0aOH8fd+fn4AgMLCQgQFBSElJQXJycnGMz8AoNfrUVVVhYqKCjg7O99yn+Xl5Vi4cCF27NiB3Nxc1NTUoLKystFngk6fPo2goCAEBAQYt8XGxtapSUlJQWZmJtzc3Opsr6qqwoULF6BWq1FQUICYmBjja3K5HJGRkTAYDI3qh4hMjyGIiCTj4OBg/L1MJgMAYzgwGAxYuHAhRowYcdPXOTo63nafL7/8Mnbt2oXly5cjLCwMTk5OGDlypPHyVEMJIW7a9mePfzIYDIiMjMTGjRtvqvX29r7t191q30TU8hiCiKhZKRQK6PX6Rn9d7969cfbsWYSFhd22xsHB4aZ9Hzx4EPHx8Rg+fDiA2nuE/vtG5YYKDw9HdnY2cnNz4e/vDwA4cuTITT1+9dVXaNOmDdzd3W+5Hx8fHyQlJeGee+4BUHs2KzU1Fb169Wp0T0RkWrwxmoiaVUhICBITE3Hp0iUUFRU1+DLQG2+8gfXr12PBggXIyMjA6dOn8dVXX2HevHl19v3zzz8jPz8f169fBwCEhYVh69atSEtLw/HjxzF27NgmXXq6//770alTJ0ycOBHHjx/HwYMHMXfu3Do148aNg5eXF4YNG4aDBw8iKysLBw4cwKxZs3DlyhUAwPPPP4+lS5fi+++/x9mzZzFr1ixcv379prNDRNTyGIKIqFm99NJLkMvlCA8Ph7e3d4PvzRk8eDB27NiBPXv2IDo6Gn379sX//d//ITg42Fjz3nvvYc+ePQgMDERERAQA4P3330erVq3Qr18/PProoxg8eDB69+7d6L7t7Oywbds2aLVaxMTEYPLkyXXuTwIAZ2dn/PrrrwgKCsKIESPQpUsXTJo0CZWVlcYzQ6+++irGjBmDiRMnIjY2Fq6urhg8eHC9l/SIqGXIBC9OE5GNW7BgAb777jukpaU1+/cyGAzo0qULnnzySbz55pt1XpPJZNi2bRvnECJqITwTREQEID09Ha6urvj0009Nut/Lly/jiy++wLlz55Ceno7nnnsOWVlZGDt2rLFm6tSpcHV1Nen3JaK/xjNBRGTzSkpKUFJSAqB2VJcpl7DIycnB6NGjcfLkSQgh0K1bN7z99tvo37+/saawsBAajQZA7VQBLi4uJvv+RHR7DEFERERkk3g5jIiIiGwSQxARERHZJIYgIiIiskkMQURERGSTGIKIiIjIJjEEERERkU1iCCIiIiKbxBBERERENun/ARaMbZ05GVGqAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"________________________________________________________________\n",
"d = 1.31um\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"J = 2.448100 Hz\n",
"U_s = 19.135 Hz\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"________________________________________________________________\n",
"d = 1.29um\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"J = 5.575860 Hz\n",
"U_s = 18.593 Hz\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"________________________________________________________________\n",
"d = 1.27um\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"J = 12.302617 Hz\n",
"U_s = 17.930 Hz\n"
]
},
{
"data": {
"image/png": 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dd9/V9u3bq4232+3VdvXZbDbFx8dzOKyGYzkcxq5uDofVfKw3fEYctpVp9DtrtPPQcUUEWvX22GR1aR5x1vXyGcFnRF0fDvPYElReXq7g4GB9/PHHuummm1zLJ0+erMzMTK1cufKs76/RMUUAwBllHyvRbXN/Uc7xUkWHB+i9O/qqbXSY2bHgoWry/e2xh8P8/f2VlJSkZcuWVVu+bNkyDRgwwKRUAOBddh4u1PA5q5VzvFSJTYL1j4kDKEBwGx59MYYHH3xQY8aMUXJysvr376+33npL2dnZmjhxotnRAMDjbcg5qZTUNJ0sqVD76DC9e0cfXRQe+NtvBOqJR5egW265RceOHdPMmTOVm5urLl266J///KcSExPNjgYAHu3nPcc0YUG6issd6h4fqQW391ZksL/ZsYBqPPacoAvFOUEAcH6+23ZYdy9ar/JKpwa0bqK3xiYrlKtAo57U5Pubv5UAgFrz9aZc3fd+hiqdhq7oGK2/39pTgX5Ws2MBp0UJAgDUii83HNKUDzPlcBoa2qOZXh7RndtgwK1RggAAF+zTjAN66KMNchrS8KQ4vXBzN1l9LGbHAs6KEgQAuCAfr83Ro59slGFII3vH67mbusqHAoQGgBIEADhv76dl64klmyRJt/VN0DNDu1CA0GBQggAA5+Xdn/fpT59vkSSl9E/U9Bs6u25NATQElCAAQI2l/pSlGV9ulSTdcUlLTb22IwUIDQ4lCABQI2//sFez/rlNkvTHQa30+FUdKEBokChBAIBz9vr3u/Xiv3ZIkiZd1kYPXdmOAoQGixIEADgn/12AplzRVpMvb0sBQoNGCQIA/Ka3f9jrKkAP/b6d7ru8rcmJgAvHpTwBAGc178cs1zlAU65oSwGCx6AEAQDO6N2f92nmV1WzwCZd1kaTKUDwIJQgAMBpLV6T7boO0B8HteIkaHgcShAA4BQfrc3Rk59WXQn6jktaMg0eHokSBACoZsn6A3rsk42SpHEDWnAhRHgsShAAwOXzzIN6+OMNMgxpdL8ETbu+EwUIHosSBACQJC3dmKsHP9og53/uBj/zhi4UIHg0ShAAQN9uydPkDzLkcBoanhSn527qyt3g4fEoQQDg5VbtOqpJizNU6TR0U8/meuHmbhQgeAVKEAB4sfR9x3XXwnUqdzh1dZcYvTS8m6wUIHgJShAAeKlNBwo0PjVdpRUODWrXVK+O7ClfK18L8B78bQcAL7TzcKHGzlujQnul+rRsrDmjk+Tvy1cCvAt/4wHAy+w/VqzR76zRiZIKdY+L0NyUZAX5W82OBdQ7ShAAeJHcglLd+vYaHSm0q0NMmBaM76OwQD+zYwGmoAQBgJfIL7LrtnfW6ODJUrWMCtHCO/ooMtjf7FiAaShBAOAFCkoqNGZumvYeLVbzyCC9N6GvLgoLNDsWYCpKEAB4uCJ7pVJS07Qt16ao0AC9N6GvmkcGmR0LMB0lCAA8WFmFQ3ctXKvMnJOKDPbTogl91TIqxOxYgFugBAGAh6p0ODX5gwyt3nNMIf5WLbi9j9rHhJkdC3AblCAA8ECGYeipTzfrmy2H5W/10dspyeoeH2l2LMCtUIIAwAO98K8d+nBtjnws0v+N6qkBraPMjgS4HUoQAHiYN1fu0ZyVeyRJzw/rpqu6xJicCHBPlCAA8CAfpedo9tfbJUlPXN1Bf+gdb3IiwH1RggDAQ3yzJU+PL9koSfrjoFb646DWJicC3BslCAA8wOo9+brv/Qw5DemW5Hg9flUHsyMBbo8SBAAN3KYDBbpr4TqVVzo1pHO0Zt3URRaLxexYgNujBAFAA7b3aJHGpaapyF6p/q2a6NWRPeVr5aMdOBf8pgBAA3XYVqYxc9N0rLhcXZtH6K2xSQr0s5odC2gwKEEA0AAVlFYoZV6a647w82/vrbBAP7NjAQ0KJQgAGphf7we2Pa9QTcMCtHB8HzUJDTA7FtDgUIIAoAFxOA098GGm1mQdV1iArxbc3kfxjYPNjgU0SJQgAGggDMPQjC+36OvNefK3+ujNsUnq1Czc7FhAg0UJAoAG4rUVu7Xw5/2yWKQ/39Kd+4EBF4gSBAANwEfpOXr5252SpGnXddJ13ZqZnAho+ChBAODmvtt2WE98ukmSdM/g1hp3cUuTEwGegRIEAG5s3f4Tunfxejmchm7uFadHhrQ3OxLgMShBAOCmdh8p0h0L0lVW4dRl7Zvq+Zu7cjsMoBZRggDADR22lSllXppOllSoe3ykXrutl/y4HQZQq/iNAgA3U1hWoXGp6Tp4slStokKUOq63gv19zY4FeBxKEAC4kfJKp+5+b7225doUFeqvBeP7qHGIv9mxAI9ECQIAN2EYhh5fslE/7s5XsL9V88b15mrQQB2iBAGAm/jzsp1asv6grD4WvXZrL3WLizQ7EuDRKEEA4AYWr8nW3/69W5L03E1ddFmHi0xOBHg+ShAAmOy7bYc19bOqiyFOvrytbumdYHIiwDtQggDARBtyTmrS4gw5DWlEUpymXNHW7EiA16AEAYBJ9h8r1vj56SqtcGhgu6Z6bhgXQwTqEyUIAExwrMiulHlpOlZcrs7NwvU6F0ME6h2/cQBQz0rLHZqwcK32HStR88ggpY7rrdAALoYI1DdKEADUI4fT0JQPM5SRfVIRQX5aML63LgoPNDsW4JUoQQBQj2Yt3aZvthyWv9VHb49NVpuLwsyOBHgtShAA1JPUn7I076csSdIrf+iuPi0bm5wI8G6UIACoB99sydPMr7ZKkh67qoOu797M5EQAPLYEtWjRQhaLpdrj8ccfNzsWAC+UmXNSkz/IkGFIt/ZN0MRBrcyOBECSR09HmDlzpu68807X89DQUBPTAPBG2cdKdMf8dJVVODW4fVPNvKEz1wIC3ESNStAXX3xR4x/w+9//XkFBQTV+X20ICwtTTEyMKT8bAE6WlGvc/P9/LaC/39pLvlwLCHAbFsMwjHMd7ONTs19ei8WiXbt2qVWr+t/126JFC9ntdpWXlys+Pl4jRozQI488In9//9OOt9vtstvtruc2m03x8fEqKChQeHh4fcUG4CHKKhwaOzdNafuOq1lEoD6992JFMxUeqHM2m00RERHn9P1d48NheXl5uuiic7u7cViYeVM/J0+erF69eqlRo0ZKS0vTE088oaysLL3zzjunHT979mzNmDGjnlMC8EROp6FH/rFRafuOKyzAV6m396EAAW6oRrt2UlJSanRoa/To0bW6F2X69OmnnOz8v4+1a9dKkh544AENGjRI3bp104QJEzRnzhzNnTtXx44dO+26n3jiCRUUFLgeOTk5tZYbgHd56dsd+nLDIfn6WDRnTJLax3AtIMAd1ehwmNny8/OVn59/1jEtWrRQYOCp/8d18OBBxcXF6ZdfflHfvn1/82fVZHcaAPzq/bRsPbFkkyTp5RHdNTwpzuREgHep08Nhv/rd736nQYMGadq0adWWnzhxQjfffLP+/e9/n++qzygqKkpRUVHn9d6MjAxJUmxsbG1GAgCXlTuPaupnmyVJ91/elgIEuLnzLkHff/+9Nm3apIyMDC1atEghISGSpPLycq1cubLWAp6Pn3/+Wb/88osuu+wyRUREKD09XQ888IBuuOEGJSQkmJoNgGfanmfTvYvWy+E0NKxncz1wRVuzIwH4DRc0V3P58uXKy8tTv379tG/fvlqKdOECAgL04YcfavDgwerUqZOefvpp3XnnnXr//ffNjgbAAx22lWl8arqK7JXq27KxZt/clWsBAQ3ABV0sMTY2VitXrtT48ePVu3dvffzxx+rYsWNtZTtvvXr10i+//GJ2DABeoKS8UncsSNehgjK1ahqiN8ckKcDXanYsAOfgvPcE/fp/OQEBAVq0aJEmT56sq666Sq+//nqthQMAd+ZwGrr//QxtPmhT4xB/pY7rrcjg01+LDID7Oe89Qf87qWzq1Knq2LGjUlJSLjgUADQEzy7dquXbjsjf10dvj01WYpMQsyMBqIHzLkFZWVlq2rRptWU333yzOnTo4LpWDwB4qvk/ZSn1p32SpL/8oYeSEhuZGwhAjZ13CUpMTDzt8s6dO6tz587nHQgA3N3yrYc186utkqTHruqga7tx6Q2gIapxCbLZbOc0jgsMAvBEmw8W6L73M+Q0pJG94zVxUP3fGxFA7ahxCYqMjDzr1E/DMGSxWORwOC4oGAC4m0MnSzV+frpKKxy6tG2UnrmxC1PhgQasxiVoxYoVrn83DEPXXHON3nnnHTVv3rxWgwGAOyksq9D4+ek6UmhX++gwvXZbL/lZL+hSawBMVuMSNGjQoGrPrVar+vXrp1at2CUMwDNVOpyatDhD2/MK1TQsQHPHJSs80M/sWAAuEP8bAwBnYRiGZny5VSt3HlWgn4/mpiQrrlGw2bEA1AJKEACcxbyf9undX/bLYpH+ektPdYuLNDsSgFpSKyWIEwMBeKJvt+Tp2aVVU+GfvLqjruoSY3IiALWpxucEDRs2rNrzsrIyTZw40XUX+V8tWbLkwpIBgIk2HSjQ5A8yZRjSrX0TNOHSlmZHAlDLalyCIiIiqj0fPXp0rYUBAHdw6GSp7ljw/6fCz7ihM3u8AQ9U4xKUmppaFzkAwC0U2StdU+HbRYcyFR7wYDX6zd64caOcTuc5j9+yZYsqKytrHAoAzFA1FX69tucVKio0QPPG9WYqPODBalSCevbsqWPHjp3z+P79+ys7O7vGoQCgvhmGoZlfbdX3O5gKD3iLGh0OMwxDf/rTnxQcfG4fDOXl5ecVCgDqW+pP+7Tw51+nwvdQ9/hIsyMBqGM1KkEDBw7Ujh07znl8//79FRQUVONQAFCflm89rGf+MxX+8as66Kou3BUe8AY1KkHff/99HcUAAHNsPlig+z/IkGFIo/rE666B3AII8BZMeQDgtXILqqbCl5RXTYWfOZS7wgPehBIEwCsV2yt1x/y1Omyzq+1FTIUHvBG/8QC8jsNpaPIHGdqaa1NUqD9T4QEvRQkC4HWeXbpVy7cdUYCvj94am6z4xkyFB7wRJQiAV1n48z6l/rRPkvTnP/RQr4RG5gYCYJoa3zbjV+np6Xr88cd19OhRtWnTRj169HA9EhISajMjANSKFduPaPoXWyRJjwxpr2u7MRUe8GbnvSdozJgxslqtmjhxolq1aqWVK1fq9ttvV4sWLdSkSZPazAgAF2xbrk2TFq+X05CGJ8XpnsGtzY4EwGTnvScoJydHS5cuVevW1T9I9u/fr8zMzAvNBQC15oitTHfMT1dxuUP9WzXRczd1ZSo8gPMvQRdffLFycnJOKUGJiYlKTEy84GAAUBtKyis1YeFaHSooU6umIZozOkn+vpwOCaCGJWjo0KHq3r27unfvrokTJ2rmzJnq2rUrh78AuCWH09CUDzK18UCBGgX7aV5Kb0UEMxUeQJUalaC2bdtq9erVeuONN1x3k2/fvr2GDh2q/v37q2fPnuratav8/f3rJCwA1MTzX2/Tt1sPy99aNRW+RVSI2ZEAuBGLYRjG+bzxwIEDyszMrPbIysqS1WpVhw4dtHHjxtrOWq9sNpsiIiJUUFCg8PBws+MAqKFFa/brqU83S5JeHdlDQ3s0NzkRgPpQk+/v8z4nKC4uTnFxcbruuutcy4qKipSRkdHgCxCAhm3lzqN6+vOqqfAPXNGOAgTgtGp8duCTTz6ptLS0074WGhqqSy+9VPfee+8FBwOA87Ejr1D3Llovh9PQsJ7Ndf/lbcyOBMBN1bgE5ebm6rrrrlNsbKzuuusuLV26VHa7vS6yAUCNHCks0/j56SqyV6pPy8aafTNT4QGcWY1LUGpqqg4fPqyPPvpIkZGReuihhxQVFaVhw4Zp/vz5ys/Pr4ucAHBWpeUO3blgrQ6eLFXLqBC9OTpJAb5Ws2MBcGPnfWL0f9u2bZu+/PJLff7550pPT1e/fv10ww03aNSoUWrevGEei+fEaKDhcDoN3bNovf61JU+RwX769J6L1ZKZYIBXqsn39wVfMSw7O1sdO3bUo48+qp9++kkHDx7UuHHjtGrVKr3//vsXunoA+E0v/Gu7/rUlr2oq/JhkChCAc3Les8N+NXbsWO3fv1/x8fHq1q2b63HLLbcoJIQPIgB16/20bL35w15J0gvDu6pPy8YmJwLQUFzwnqDvv/9eWVlZuummm5STk6Pdu3dr6tSpioyMVPv27WsjIwCc1qpdRzX1s6prAU25oq1u6hlnciIADckF7wn61cKFC5WRkeF6/u2332rx4sW1tXoAqGZHXqHuea9qKvxNPZtr8uVtzY4EoIGptbsIBgYGaseOHa7nV155pTZv3lxbqwcAlyO2qqnwhf+ZCv88U+EBnIda2xP0zjvvaMSIEbrsssvUrVs3bdmypbZWDQAuJeWVuuM/U+FbRYXorTFMhQdwfmpldpgkde7cWWlpaerXr5+ysrIUHx+vr7/++oIDAsCvHE5Dkz/I1KaDBWoc4q9543orMpgbNgM4P3UyO+y6665T165dmR0GoFbNWrpNy7Yelr+vj94em8Rd4QFcEGaHAWgQFqzep3k/ZUmSXhnRXUmJTIUHcGGYHQbA7X237bBmfFl1nuEjQ9rr+u7NTE4EwBMwOwyAW9t8sED3vZ8hpyHdkhyvewa3NjsSAA/B7DAAbiu3oFR3LEhXSblDl7SJ0rM3dWEqPIBaU2t7gpgdBqA2FdkrdXtqug7b7GoXHarXR/eSn7XWPrIAoOZ7gpKTk5WUlOR6dOvWTX5+fpKqDomNGjWq1kMC8C4VDqfuXbRe2/MKFRUaoHnjeis80M/sWAA8TI1LUP/+/bVu3Tq99957Ki0tlb+/vzp37qwBAwZo5MiRuvjii+siJwAvYRiGnv58s1buPKogP6vmpiQrrlGw2bEAeCCLYRjG+bzR4XBoy5YtWrt2rdauXavly5drz549GjNmjFJTUxv8cXubzaaIiAgVFBQoPDzc7DiA13htxW699M0O+VikN8ck6/edos2OBKABqcn393mXoNNZtmyZbrvtNj333HOaMGFCba3WFJQgoP59nnlQkz/IlCTNuKGzUga0MDUPgIanJt/ftXqW4e9//3s9++yzevPNN2tztQC8wJq9x/TIxxslSRMuaUkBAlDnan2qRb9+/bR79+7aXi0AD7b7SJHuenedyh1OXd0lRk9e09HsSAC8QI1L0Guvvaa0tDTZ7fbTvn706FHXbDEA+C1HC+0al5qmgtIK9UqI1F9u6SEfn4Z9TiGAhqHGs8OmTp0qm80mX19fderUScnJyUpOTlbHjh1VUlKiJ554QgMHDqyLrAA8TEl5pSYsSNeBE6VKbBKst8cmK9DPanYsAF6ixiXoxIkT2rNnj9atW+d6fPLJJzp58qQkqUOHDnr55ZdrOycAD+NwGrr//UxtOFCgRsF+mn97HzUJDTA7FgAvUmuzww4cOKCKigq1bNmyNlZnOmaHAXXHMAzN+HKr5q/eJ39fHy2e0FfJLbgrPIALV5Pv71q7d1hcXFxtrQqAh5v7Y5bmr94nSfrLH3pQgACYghvxAKhXSzfmatY/t0mSnri6g67tFmtyIgDeihIEoN6kZR3XAx9lyjCksf0TddfAVmZHAuDFKEEA6sXuI4W6c+FalVc69ftO0Zp2fecGf3sdAA1bgyxBs2bN0oABAxQcHKzIyMjTjsnOztb111+vkJAQRUVF6f7771d5eXn9BgUgSTpiK1PKvHQVlFaoZ0Kk/m9kT1m5FhAAk9XaidH1qby8XCNGjFD//v01d+7cU153OBy69tpr1bRpU/344486duyYUlJSZBiG/va3v5mQGPBeRfZK3T4/XQdPlqplVIjmpvRWkD/XAgJgvgZZgmbMmCFJmj9//mlf//bbb7V161bl5OSoWbNmkqRXXnlF48aN06xZs5jyDtSTCodT9yxary2HbIoK9deC2/uocYi/2bEAQFIDPRz2W37++Wd16dLFVYAkaciQIbLb7Vq3bt1p32O322Wz2ao9AJw/wzD05JJN+mHnUQX5WTU3pbcSmgSbHQsAXDyyBOXl5Sk6OrraskaNGsnf3195eXmnfc/s2bMVERHhesTHx9dHVMBj/XX5Ln287oB8LNJrt/VU9/hIsyMBQDVuU4KmT58ui8Vy1sfatWvPeX2nm3ViGMYZZ6M88cQTKigocD1ycnLO+78F8HYfpmfr1e92SZKevbGrftch+jfeAQD1z23OCZo0aZJGjhx51jEtWrQ4p3XFxMRozZo11ZadOHFCFRUVp+wh+lVAQIACArhvEXChVuw4oic/3SxJuu93bXRr3wSTEwHA6blNCYqKilJUVFStrKt///6aNWuWcnNzFRtbdTXab7/9VgEBAUpKSqqVnwHgVBtyTureRevlcBoa1qu5Hvx9O7MjAcAZuU0Jqons7GwdP35c2dnZcjgcyszMlCS1adNGoaGhuvLKK9WpUyeNGTNGL730ko4fP66HH35Yd955JzPDgDqSlV+s2+enq6TcoUvbRun5Yd24GCIAt9YgS9DTTz+tBQsWuJ737NlTkrRixQoNHjxYVqtVS5cu1T333KOLL75YQUFBuvXWW/Xyyy+bFRnwaEcKyzR23hodLy5X1+YRemN0kvx93eaUQwA4LYthGIbZIdyRzWZTRESECgoK2HsEnEVhWYVuefMXbc21KbFJsD65e4CiQjm/DoA5avL9zf+qAThv9kqH/vjuOm3NrboY4sLxfShAABoMShCA8+J0Gnrwow1aveeYQvytmn97HyU2CTE7FgCcM0oQgBozDEMzv9qqpRtz5We16M0xyerSPMLsWABQI5QgADU2Z+VezV+9T5L08ojuuqRt7VzeAgDqEyUIQI38Y90BvfCv7ZKkqdd21NAezU1OBADnhxIE4Jyt2HFEj32yUZL0x4GtNOHSViYnAoDzRwkCcE7WZ5/QPe9VXQ36pp7N9dhVHcyOBAAXhBIE4DftPFyo8fPTVVrh0MB2TfXi8G7y8eFq0AAaNkoQgLPKOV6iMXPX6GRJhXomRGrO6F7ys/LRAaDh45MMwBnlF9k1dl6aDtvsahcdqtRxvRXs3yDvtgMAp6AEATitwrIKpcxLU1Z+sZpHBmnh+L6KDPY3OxYA1BpKEIBTlFU4NGHBWm05ZFOTEH+9N6GvYiICzY4FALWKEgSgmkqHU/e9n6E1WccVFuCrBeP7qGUUt8MA4HkoQQBcDMPQ40s2adnWw/L39dHbKdwOA4DnogQBkFRVgJ775zb9Y90BWX0seu3WXurXqonZsQCgzlCCAEiquh/Y26uyJEkv3NxNv+8UbXIiAKhblCAAWrwmu9r9wIYnxZmcCADqHiUI8HKfZRzUU59tkiTdM7g19wMD4DUoQYAX+2ZLnh76eIMMQxrbP1GPDGlvdiQAqDeUIMBLrdp1VPctzpDDaejmXnGafn1nWSzcDwyA96AEAV4ofd9x3blwrcodTl3dJUYv3NyVG6IC8DqUIMDLbDpQoPGp6SqrcGpw+6Z6dWRP+XJDVABeiE8+wIvsPFyosfPWqNBeqb4tG2vO6CT5+/IxAMA78ekHeIn9x4o1+p01OlFSoe5xEXonJVmBflazYwGAaShBgBfILSjVrW+v0ZFCuzrEhGnB+D4KC/QzOxYAmIoSBHi4/CK7bntnjQ6eLFXLqBAtvKOPIoP9zY4FAKajBAEe7HhxuUa/s0Z7jxareWSQ3pvQVxeFBZodCwDcAiUI8FAnS6oK0Pa8Ql0UFqD3JvRV88ggs2MBgNugBAEeqKC0QmPmpmlrrk1RoQFafGc/tYwKMTsWALgVShDgYWxlFRo7L02bDhaoSYi/Ft/ZV20uCjU7FgC4HUoQ4EGK7JUaNy9NG3JOqlGwnxbd2VftosPMjgUAbokSBHiIYnulbk9N0/rsk4oI8tN7E/qqQ0y42bEAwG1RggAPUFru0B0L0pW+74TCAn313h191blZhNmxAMCtUYKABq6swqEJC9P1y97jCg3w1cLxfdQ1jgIEAL+FEgQ0YGUVDt317jr9tPuYQvytWjC+t3omNDI7FgA0CJQgoIEqq3Do7vfW6YedRxXkZ1Xq7X2UlNjY7FgA0GD4mh0AQM2VVTh058K1WrUrX4F+Ppo7Lll9WlKAAKAmKEFAA1NaXnUO0E+7jynY36q5Kb3Vv3UTs2MBQINDCQIakGJ7pcbPT9earOMK8bdq/vg+6t2CPUAAcD4oQUADUVhWodtT07V2/wmFBfhq/vg+SkrkJGgAOF+UIKABsJVVKGVemjKyTyo80FcL7+irHvGRZscCgAaNEgS4uYKSCo2Zt0YbDxQoIshPiyb0VZfmXAcIAC4UJQhwYyeKyzV67hptOWSruhfYhH7q1IxbYQBAbaAEAW7qWJFdt72zRtvzCtUkxF+L7uReYABQmyhBgBs6bCvTmLlrtPNwkaJCA/T+nX3VlrvBA0CtogQBbibneIlue2eNso+XKDo8QIvv7KfWTUPNjgUAHocSBLiRXYcLNXruGh222ZXQOFjv3dFXCU2CzY4FAB6JEgS4iY0HTiplXppOlFSoXXSo3r2jr6LDA82OBQAeixIEuIFf9h7ThAVrVWSvVPe4CM2/vY8ahfibHQsAPBolCDDZv7cf1t3vrZe90ql+rRrrnZTeCg3gVxMA6hqftICJvthwSA9+mKlKp6ErOl6kv9/aS4F+VrNjAYBXoAQBJlm8JltPfbZJhiEN7dFML4/oLj+rj9mxAMBrUIIAE7y5co9mf71dknRb3wQ9M7SLfHwsJqcCAO9CCQLqkdNp6Ll/btM7P2ZJku4e3FqPDmkvi4UCBAD1jRIE1BN7pUMPf7xRX244JEl6/OoOmjiotcmpAMB7UYKAemArq9AfF67Tz3uPydfHoheHd9OwXnFmxwIAr0YJAurYYVuZUualaXteoUL8rZozJkmXtm1qdiwA8HqUIKAO7T5SqJR56Tp4slRNwwKUOq63ujSPMDsWAECUIKDOpO87rgkL1qqgtEKtokK0YHwfxTfmPmAA4C4oQUAd+NfmXN3/QabKK53qmRCpuSm91ZjbYACAW6EEAbVs4c/7NO2LLTIM6YqO0frbqJ4K8ucq0ADgbihBQC1xOA09//U2vb2q6hpAt/ZN0MwbOsuXq0ADgFuiBAG1oMheqcnvZ+i77UckSQ/9vp0m/a4NF0EEADfWIP8XddasWRowYICCg4MVGRl52jEWi+WUx5w5c+o3KLzCgRMlGv7Gan23/YgCfH30t1E9dd/lbSlAAODmGuSeoPLyco0YMUL9+/fX3LlzzzguNTVVV111let5RARTk1G71mef0F0L1yq/qFxRoQF6JyVZPeIjzY4FADgHDbIEzZgxQ5I0f/78s46LjIxUTExMPSSCN/o886Ae+cdGlVc61TE2XHNTktUsMsjsWACAc9QgD4edq0mTJikqKkq9e/fWnDlz5HQ6zzjWbrfLZrNVewCn43Qa+vO3OzT5P1Pgr+gYrX9M7E8BAoAGpkHuCToXzzzzjC6//HIFBQXpu+++00MPPaT8/HxNnTr1tONnz57t2sMEnElpuUMP/2ODlm7MlST9cWArPXpVB1l9OP8HABoai2EYhtkhJGn69Om/WULS09OVnJzsej5//nxNmTJFJ0+e/M31v/LKK5o5c6YKCgpO+7rdbpfdbnc9t9lsio+PV0FBgcLDw8/tPwIe7YitTHcuXKsNBwrkZ7Vo1o1d9Yfe8WbHAgD8F5vNpoiIiHP6/nabPUGTJk3SyJEjzzqmRYsW573+fv36yWaz6fDhw4qOjj7l9YCAAAUEBJz3+uHZ0vcd1z2L1utooV2RwX6aMzpJ/Vo1MTsWAOACuE0JioqKUlRUVJ2tPyMjQ4GBgWecUg+cjmEYWrB6n55duk2VTkPtokP11phktYgKMTsaAOACuU0Jqons7GwdP35c2dnZcjgcyszMlCS1adNGoaGh+vLLL5WXl6f+/fsrKChIK1as0FNPPaW77rqLvT04Z6XlDj356SZ9mnFQknRdt1i9cHM3hQQ0yF8bAMD/aJCf5k8//bQWLFjget6zZ09J0ooVKzR48GD5+fnp9ddf14MPPiin06lWrVpp5syZuvfee82KjAYm+1iJ/vjeOm3LtcnqY9ETV3fQHZe05AKIAOBB3ObEaHdTkxOr4FlW7Diiye9nyFZWqahQf/1tVC/1b835PwDQEDTIE6MBszmdhv6+Yrf+snynDEPqER+pN0b3UmwE1/8BAE9ECQIkFZRW6KGPMrV8W9UNUG/rm6Cnr++kAF+ryckAAHWFEgSvl5lzUve/n6Hs4yXy9/XRszd20R+Suf4PAHg6ShC8ltNp6K1Ve/XyNztU6TQU1yhIb9yWpK5x3GgXALwBJQhe6UhhmR76aINW7cqXJF3bLVbP3dRVEUF+JicDANQXShC8zsqdR/XQR5nKLypXoJ+Ppl/fWbf0jmf6OwB4GUoQvEZ5pVMvf7tDb/2wV5LUISZMf7+1p9pcFGZyMgCAGShB8Ar78ot1/wcZ2nig6ga6Y/sn6slrOirQj9lfAOCtKEHwaIZh6LPMg/rTZ1tUZK9URJCfXhzeTUM6x5gdDQBgMkoQPNbRQrumfrZJ32w5LEnq06Kx/jqyh5pFcvFDAAAlCB7IMAx9tTFXT3++WSdKKuTrY9H9l7fVPYNby9fqY3Y8AICboATBo+QX2fWnzzbr6815kqROseF6eUR3dWrG/d8AANVRguAxlm7M1Z8+36zjxeXy9bHo3sva6N7L2sjfl70/AIBTUYLQ4B0rsuvpz7do6aZcSVVT31/5Q3d1bsaVnwEAZ0YJQoP29aZcTf1ss44Vl8vqY9G9g1tr0u/asvcHAPCbKEFokLKPlWjGl1v03faqu763jw7TyyO6c98vAMA5owShQSmrcOitH/bqtRW7Za90ys9q0cRBrTXpd20U4MuFDwEA544ShAZj5c6jmvb5Zu07ViJJGtC6iWYO7aI2F4WanAwA0BBRguD2cgtK9cxXW/XPTVXT3i8KC9DU6zrp+m6x3PQUAHDeKEFwWxUOp+b9mKVXv9ulknKHrD4WjRvQQlOuaKuwQD+z4wEAGjhKENyOYRhaufOonvvnNu08XCRJSk5spGdu7KKOsVz0EABQOyhBcCsbD5zU7H9u1897j0mSGof464mrO+jmXnHy8eHQFwCg9lCC4Bb25RfrpW93aOnGqgse+lt9lDIgUfde1kaRwf4mpwMAeCJKEEyVX2TX377bpUVrslXpNGSxSDf1aK4Hr2ynuEbBZscDAHgwShBMUWyv1DursvTWD3tUXO6QJA1q11SPXdWBm50CAOoFJQj1qqS8UovXZGvOyr3KL7JLkro2j9ATV3fQgDZRJqcDAHgTShDqxcmSci1YvV/zV2fpREmFJCmhcbAeGdJe13aN5aRnAEC9owShTh2xlemdH7O06Jf9rsNeiU2C9ceBrTU8KY4bnQIATEMJQp3Yf6xYc1bu1SfrDqjc4ZQkdYgJ0z2XtdE1XWLka6X8AADMRQlCrdp8sEBv/bBXX208JKdRtax3i0a6Z3AbDW7flNtcAADcBiUIF6ykvFJfbjikxWuyteFAgWv54PZNdc/gNurTsrGJ6QAAOD1KEM7b9jybFq/J1qfrD6rQXilJ8rNadHWXWN01sJW6NI8wOSEAAGdGCUKNlFU4tHRjrhanZWvd/hOu5S2aBGtUnwQNT4pTk9AAExMCAHBuKEH4TU6noXXZJ7R0Y64+zTiogtKqKe6+PhZd2Tlat/ZJ1IDWTZjmDgBoUChBOK3/Lj5fb87VYZvd9VrzyCDd2jdBI5LjdFFYoIkpAQA4f5QguJyt+IQF+ur3naJ1Q/dmurRtU1nZ6wMAaOAoQV6uoLRCa/Ye04+78/XNlrzTFp/rusXq4jZRCvC1mpgUAIDaRQnyMqXlDq3df1yr9xzT6t352nSwwHU9H6mq+FzZKUbXdouh+AAAPBolyMOVlFdq6yFbVenZk6/1+0+6ruD8q9ZNQzSgdZQu69CU4gMA8BqUIA9hGIaOFtq1Jdembbk2bT1k09Zcm7Lyi2UY1cc2iwjUgDZRGtC6iQa0jlJMBCc3AwC8DyWoATEMQwWlFTp0skx5tlIdOlmmnOMl2vqf4pNfVH7a9zUNC1CfFo3Vv3UTXdwmSi2aBHP7CgCA16ME1TOn09DRIrtKyx0qq3SotNyh0gqH7BVOlVY4qi23lVboUEGZ8grKdKigVLkny1Ra4Tjjun0sUqumoeoUG65OzcLVKTZcHWPD1TSMixcCAPC/KEH1rNBeqb7PfXdB62gc4q/YiEDFRgSpeWSgOsRWFZ520WEK8ud8HgAAzgUlqJ4F+vnI6mNRkJ9VgX4+CvSz/uff//NPf6sCfX0U5G9VaICvq+zERgaqWUSQYiICFehH0QEA4EJRguqZv9VHe567xuwYAAB4PR+zA3gbTkgGAMA9UIIAAIBXogQBAACvRAkCAABeiRIEAAC8EiUIAAB4JUoQAADwSpQgAADglShBAADAK1GCAACAV6IEAQAAr0QJAgAAXokSBAAAvBIlCAAAeCVfswO4K8MwJEk2m83kJAAA4Fz9+r396/f42VCCzqCwsFCSFB8fb3ISAABQU4WFhYqIiDjrGItxLlXJCzmdTh06dEhhYWGyWCy1um6bzab4+Hjl5OQoPDy8VteNmmN7uBe2h/thm7gXtsfZGYahwsJCNWvWTD4+Zz/rhz1BZ+Dj46O4uLg6/Rnh4eH8BXYjbA/3wvZwP2wT98L2OLPf2gP0K06MBgAAXokSBAAAvBIlyAQBAQGaNm2aAgICzI4CsT3cDdvD/bBN3Avbo/ZwYjQAAPBK7AkCAABeiRIEAAC8EiUIAAB4JUoQAADwSpSgevb666+rZcuWCgwMVFJSklatWmV2JK8we/Zs9e7dW2FhYbrooot04403aseOHdXGGIah6dOnq1mzZgoKCtLgwYO1ZcsWkxJ7l9mzZ8tisWjKlCmuZWyP+nfw4EGNHj1aTZo0UXBwsHr06KF169a5Xmeb1J/KykpNnTpVLVu2VFBQkFq1aqWZM2fK6XS6xrA9aoGBevPBBx8Yfn5+xttvv21s3brVmDx5shESEmLs37/f7Ggeb8iQIUZqaqqxefNmIzMz07j22muNhIQEo6ioyDXm+eefN8LCwoxPPvnE2LRpk3HLLbcYsbGxhs1mMzG550tLSzNatGhhdOvWzZg8ebJrOdujfh0/ftxITEw0xo0bZ6xZs8bIysoyli9fbuzevds1hm1Sf5599lmjSZMmxldffWVkZWUZH3/8sREaGmr89a9/dY1he1w4SlA96tOnjzFx4sRqyzp06GA8/vjjJiXyXkeOHDEkGStXrjQMwzCcTqcRExNjPP/8864xZWVlRkREhDFnzhyzYnq8wsJCo23btsayZcuMQYMGuUoQ26P+PfbYY8Yll1xyxtfZJvXr2muvNcaPH19t2bBhw4zRo0cbhsH2qC0cDqsn5eXlWrduna688spqy6+88kqtXr3apFTeq6CgQJLUuHFjSVJWVpby8vKqbZ+AgAANGjSI7VOH7r33Xl177bW64oorqi1ne9S/L774QsnJyRoxYoQuuugi9ezZU2+//bbrdbZJ/brkkkv03XffaefOnZKkDRs26Mcff9Q111wjie1RW7iBaj3Jz8+Xw+FQdHR0teXR0dHKy8szKZV3MgxDDz74oC655BJ16dJFklzb4HTbZ//+/fWe0Rt88MEHWr9+vdLT0095je1R//bu3as33nhDDz74oJ588kmlpaXp/vvvV0BAgMaOHcs2qWePPfaYCgoK1KFDB1mtVjkcDs2aNUujRo2SxO9IbaEE1TOLxVLtuWEYpyxD3Zo0aZI2btyoH3/88ZTX2D71IycnR5MnT9a3336rwMDAM45je9Qfp9Op5ORkPffcc5Kknj17asuWLXrjjTc0duxY1zi2Sf348MMP9d5772nx4sXq3LmzMjMzNWXKFDVr1kwpKSmucWyPC8PhsHoSFRUlq9V6yl6fI0eOnNLkUXfuu+8+ffHFF1qxYoXi4uJcy2NiYiSJ7VNP1q1bpyNHjigpKUm+vr7y9fXVypUr9X//93/y9fV1/ZmzPepPbGysOnXqVG1Zx44dlZ2dLYnfkfr2yCOP6PHHH9fIkSPVtWtXjRkzRg888IBmz54tie1RWyhB9cTf319JSUlatmxZteXLli3TgAEDTErlPQzD0KRJk7RkyRL9+9//VsuWLau93rJlS8XExFTbPuXl5Vq5ciXbpw5cfvnl2rRpkzIzM12P5ORk3XbbbcrMzFSrVq3YHvXs4osvPuWyETt37lRiYqIkfkfqW0lJiXx8qn9FW61W1xR5tkctMfGkbK/z6xT5uXPnGlu3bjWmTJlihISEGPv27TM7mse7++67jYiICOP77783cnNzXY+SkhLXmOeff96IiIgwlixZYmzatMkYNWoU003r0X/PDjMMtkd9S0tLM3x9fY1Zs2YZu3btMhYtWmQEBwcb7733nmsM26T+pKSkGM2bN3dNkV+yZIkRFRVlPProo64xbI8LRwmqZ6+99pqRmJho+Pv7G7169XJN0UbdknTaR2pqqmuM0+k0pk2bZsTExBgBAQHGwIEDjU2bNpkX2sv8bwlie9S/L7/80ujSpYsREBBgdOjQwXjrrbeqvc42qT82m82YPHmykZCQYAQGBhqtWrUynnrqKcNut7vGsD0unMUwDMPMPVEAAABm4JwgAADglShBAADAK1GCAACAV6IEAQAAr0QJAgAAXokSBAAAvBIlCAAAeCVKEAAA8EqUIAD17vvvv5fFYtHJkyfNjiJJmj59uiwWiywWi/7617+edazFYtFnn31Wqz9/3Lhxrp9f2+sGcGaUIAB1avDgwZoyZUqdrLs2S0Pnzp2Vm5uru+66q1bWVxOvvvqqcnNz6/3nAt7O1+wAAOAOfH19FRMTY8rPjoiIUEREhCk/G/Bm7AkCUGfGjRunlStX6tVXX3Ud7tm3b5/r9XXr1ik5OVnBwcEaMGCAduzYUe39X375pZKSkhQYGKhWrVppxowZqqyslCS1aNFCknTTTTfJYrG4nu/Zs0dDhw5VdHS0QkND1bt3by1fvvy88u/atUsDBw5UYGCgOnXqpGXLlp0y5uDBg7rlllvUqFEjNWnSREOHDq3231hZWan7779fkZGRatKkiR577DGlpKToxhtvPK9MAGoPJQhAnXn11VfVv39/3XnnncrNzVVubq7i4+Ndrz/11FN65ZVXtHbtWvn6+mr8+PGu17755huNHj1a999/v7Zu3ao333xT8+fP16xZsyRJ6enpkqTU1FTl5ua6nhcVFemaa67R8uXLlZGRoSFDhuj6669XdnZ2jbI7nU4NGzZMVqtVv/zyi+bMmaPHHnus2piSkhJddtllCg0N1Q8//KAff/xRoaGhuuqqq1ReXi5JeuGFF7Ro0SKlpqbqp59+ks1m47wfwF2YfRt7AJ5t0KBBxuTJk6stW7FihSHJWL58uWvZ0qVLDUlGaWmpYRiGcemllxrPPfdctfe9++67RmxsrOu5JOPTTz/9zQydOnUy/va3v53x9WnTphndu3evtuybb74xrFarkZOT41r29ddfV/uZc+fONdq3b284nU7XGLvdbgQFBRnffPONYRiGER0dbbz00kuu1ysrK42EhARj6NChp+Q41/8eALWDc4IAmKZbt26uf4+NjZUkHTlyRAkJCVq3bp3S09Nde34kyeFwqKysTCUlJQoODj7tOouLizVjxgx99dVXOnTokCorK1VaWlrjPUHbtm1TQkKC4uLiXMv69+9fbcy6deu0e/duhYWFVVteVlamPXv2qKCgQIcPH1afPn1cr1mtViUlJcnpdNYoD4DaRwkCYBo/Pz/Xv1ssFklylQOn06kZM2Zo2LBhp7wvMDDwjOt85JFH9M033+jll19WmzZtFBQUpOHDh7sOT50rwzBOWfZrxl85nU4lJSVp0aJFp4xt2rTpGd93unUDqH+UIAB1yt/fXw6Ho8bv69Wrl3bs2KE2bdqccYyfn98p6161apXGjRunm266SVLVOUL/faLyuerUqZOys7N16NAhNWvWTJL0888/n5Lxww8/1EUXXaTw8PDTric6OlppaWm69NJLJVXtzcrIyFCPHj1qnAlA7eLEaAB1qkWLFlqzZo327dun/Pz8cz4M9PTTT2vhwoWaPn26tmzZom3btunDDz/U1KlTq637u+++U15enk6cOCFJatOmjZYsWaLMzExt2LBBt95663kderriiivUvn17jR07Vhs2bNCqVav01FNPVRtz2223KSoqSkOHDtWqVauUlZWllStXavLkyTpw4IAk6b777tPs2bP1+eefa8eOHZo8ebJOnDhxyt4hAPWPEgSgTj388MOyWq3q1KmTmjZtes7n5gwZMkRfffWVli1bpt69e6tfv37685//rMTERNeYV155RcuWLVN8fLx69uwpSfrLX/6iRo0aacCAAbr++us1ZMgQ9erVq8a5fXx89Omnn8put6tPnz6aMGFCtfOTJCk4OFg//PCDEhISNGzYMHXs2FHjx49XaWmpa8/QY489plGjRmns2LHq37+/QkNDNWTIkLMe0gNQPywGB6cBeLnp06frs88+U2ZmZp3/LKfTqY4dO+oPf/iDnnnmmWqvWSwWffrpp1xDCKgn7AkCAEmbNm1SaGioXn/99Vpd7/79+/X2229r586d2rRpk+6++25lZWXp1ltvdY2ZOHGiQkNDa/XnAvht7AkC4PWOHz+u48ePS6qa1VWbt7DIycnRyJEjtXnzZhmGoS5duuj555/XwIEDXWOOHDkim80mqepSASEhIbX28wGcGSUIAAB4JQ6HAQAAr0QJAgAAXokSBAAAvBIlCAAAeCVKEAAA8EqUIAAA4JUoQQAAwCtRggAAgFf6f4rqXgBFObyMAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for i in range(10,15):\n",
"\n",
" trap, func_ham, res = import_results(i)\n",
"\n",
" print(\"________________________________________________________________\")\n",
" print(f\"d = {float(trap.subs(trap.distance_tweezers)) /si.um :.2f}um\")\n",
"\n",
" GS_left, GS_right = get_localised_GS(res[\"states\"][0], res[\"states\"][1])\n",
" \n",
" plt.plot(res[\"x\"],np.abs(GS_left[:,int(res[\"size\"][1]/2),int(res[\"size\"][2]/2)])**2, label=\"left state\")\n",
" plt.plot(res[\"x\"],np.abs(GS_right[:,int(res[\"size\"][1]/2),int(res[\"size\"][2]/2)])**2, label=\"right state\")\n",
"\n",
" plt.xlabel(\"x\")\n",
" plt.ylabel(r\"$|\\Psi|^2$\")\n",
" plt.legend()\n",
" plt.show()\n",
"\n",
" J, U_s, U_dds, angles = analyse_diagonalisation(i)\n",
"\n",
" print(f\"J = {J/const.h :3f} Hz\")\n",
" print(f\"U_s = {U_s/const.h :.3f} Hz\")\n",
"\n",
" plt.plot(np.rad2deg(angles), U_dds/const.h)\n",
"\n",
" plt.axhline(0,color=\"black\",ls=\"--\")\n",
"\n",
" plt.xlabel(\"theta [deg]\")\n",
" plt.ylabel(r\"$U_{dd} / h$ [Hz]\")\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"-------------"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"trap, func_ham, res = import_results(14)\n",
"\n",
"GS_left, GS_right = get_localised_GS(res[\"states\"][0], res[\"states\"][1])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ErDiwAo0m6zJYx6/osWXfeQDAH+ckYUgv950K3paDRQcBAGOixyg8EqKewQCHyEXdLAc4ZQqPpGcJgoCnb3oaob6huFB1AR/nf9zpOaIoYsW/T0IUgWnDYzDhxqgeGKnzKKopwoWqC1AJKiRFJSk9HKIewQCHyEUl3xAKADh2We8xfTgSf7U/Hh/xOADgre/eQnVDdYfHf3OqBHt+LIOPlwrPTEroiSE6ldwic3lqcOhgBPl4VuaKPBcDHCIX1UunRVxzH07uOc8qUwHArIGzEK+LR6WhEu9+/267xzUZTVj575MAgPnj4hAb6n57S3XmYKG5PHVTFPtvyHMwwCFyYSn9PbNMBQDeKm+54fiDEx+g4GpBm8f949BPOFV0FcF+ajyeOqAnh+g02GBMnogBDpELu9lDG40lt/W5DTdF34QGUwP+dORPrV6vMTRhTfYpAMATPx8InZ/n7ZpdWFOIi9UXoRJUGBk1UunhEPUYBjhELiw53hzgHL+ih77Os/pwAHPD8W9Gm7M4n5/9HMfLjlu8/s5/z6Kk2oB+YX5Ia97iwtNIs6eGhA5BoE+gwqMh6jkMcIhcWLTOF/Hh/h7bhwMAPwv7GabeMBWAeW0caYXjoqp6vPNf80rPz04eDB9vz/x2x/IUeSrP/BdP5EZubp5N5Yl9OJInk56Ej8oHuYW5OFF2AgDwQc4F1DUakdQ3GL9MjFZ4hMphgEOeigEOkYuT+3DOeW6A0yugF37e9+cAzKUqURTxWd4VAMD8sXEesddUWwprCnGp+pK5/yaS/TfkWRjgELk4KcA5fqXKI/twJHfecCcAIOt8FnLPl+JieS38fLw8blG/a0nZmxtDb0SAT4DCoyHqWQxwiFxcVJAvbgj3h+jBfTgAMC5mHII1wSitK8V7B7MBAJN/Fg0/H2+FR6YcqcGY5SnyRAxwiNxAcnMWZ58H9+GovdSYFDcJALCv2BzgzEjqreSQFHeg4AAAYHT0aIVHQtTzGOAQuQE2GptJZSqT9ijCAoFxzQsheqKCqwX46epP8BK82H9DHokBDpEbkHYWP1FQBX2t5/bhjIgYAV+EQ/BqQFLCFXh7ee63OKk8dWMY+2/IM3nuv34iNxIZ5IsbIsx9OAcveG4fTk2DETXlwwAADb4HFR6Nsg4VHQIAjI5ieYo8EwMcIjfxsxgdAOBMyVWFR6KcnccLUV8xAgDwffkBVNRXKDsgBZ3TnwMADAkbovBIiJTBAIfITcSFmXfJvlBWq/BIlJN55DJMDZEIU9+AJrEJX5z/QukhKeZS9SUAQN/AvgqPhEgZDHCI3ETfUM8OcIqr67Hnx1IAwMwB5q0b/nX2X0oOSTG1jbUoqSsBAPQJ7KPwaIiUwQCHyE3EhfsDAC6U1yg8EmV8/l0BTCKQ1DcYcxNnQCWokFeSh5+qf1J6aD3up6vm96zT6KDT6BQeDZEyGOAQuYl+zRmcyxV1aGgyKTyanvdZ3mUAwMwRvRHpF4kx0WMAeGYW51KVuTwVGxCr8EiIlMMAh8hNRARqoFV7wSQClyvrlB5Ojyq7asB3P+kBAFOG9gIATI6bDADYc2WPYuNSitR/ExvEAIc8FwMcIjchCAL6NTcany/zrDLVoQvm2VIDIgMQEagB0LJ677HSYzAYDYqNTQkXqy8CAGIDGeCQ52KAQ+RGpEbjix7WaCwFODfFhcjP9Q3si1DfUDSaGnGi7IRSQ1OEnMFhgEMejAEOkRuRGo09LYOTe968uOHofqHyc4IgyFsUHC46rMi4lMIp4kQMcIjciidmcOobjfj+srn/ZvQ1GRwAGBE5AgCQV5zXw6NSTqOxEQU1BQCYwSHP5tAAp6KiAmlpadDpdNDpdEhLS0NlZWWH54iiiIyMDMTExECr1SI1NRXHjx+3OOadd95BamoqgoKCIAhCp9ck8hRxYZ6XwTn6kx6NRhERgRo5wJNIGZwjJUdgEj1jZtnlq5dhEk3QemsRrg1XejhEinFogDN37lzk5eUhKysLWVlZyMvLQ1paWofnrF69GmvXrsWGDRuQm5uL6OhoTJgwAdXV1fIxtbW1mDx5Mp5//nlHDp/I5UhNxpcq6mAyiQqPpmdIe2+N7hcCQRAsXhscNhi+Xr7QG/Q4rz+vwOh6nlSe6hPYp9XnQeRJvB114ZMnTyIrKws5OTlITk4GAGzatAkpKSnIz89HQkJCq3NEUcT69evxwgsvYNasWQCALVu2ICoqCtu2bcOCBQsAAIsXLwYAfPPNN44aPpFL6qXzhdpLQEOTCYVV9YgJ1io9JIc7eN7cYDw6LrTVa2qVGkMjhiK3MBeHiw/jhuAbenp4PY79N0RmDsvg7Nu3DzqdTg5uAODmm2+GTqfD3r172zzn3LlzKCwsxMSJE+XnNBoNxo8f3+451jAYDKiqqrJ4ELkjby8V+oR4zlRxk0mUZ1CN7hfS5jEjIkYAAI4UH+mpYSmKM6iIzBwW4BQWFiIyMrLV85GRkSgsLGz3HACIioqyeD4qKqrdc6yxcuVKuQ9Ip9MhNpb/8Ml9SWUqT2g0/rHkKvR1jdCqvXBjTFCbx4yMau7DYYBD5FFsDnAyMjIgCEKHj4MHDwJAm/VfURQ7rQtf/7o153Rk2bJl0Ov18uPSpUtdvhaRs5O2bDjvAQGOVJ4aERsMtVfb386GRwyHAAGXqi+htK60J4enCC7yR2Rmcw/OokWLMGfOnA6PiYuLw9GjR1FUVNTqtZKSklYZGkl0dDQAcyanV69e8vPFxcXtnmMNjUYDjUbT5fOJXEm/5plUFz1g082Dzevf3BTXdnkKAAJ9AjEwZCBOVZzCkeIjmNBvQk8Nr8cZTUZ5c9G+QezBIc9mc4ATHh6O8PDOpx6mpKRAr9fjwIEDGDPGvOnd/v37odfrMXbs2DbPiY+PR3R0NLKzs5GUlAQAaGhowK5du7Bq1Spbh0rkkeTtGko9IIPT3H8zqo0G42slRSZ5RIBTXFuMRlMjvFXeiPaLVno4RIpyWA/OkCFDMHnyZKSnpyMnJwc5OTlIT0/H1KlTLWZQDR48GJmZmQDMpanFixdjxYoVyMzMxLFjxzB//nz4+flh7ty58jmFhYXIy8vDjz/+CAD4/vvvkZeXh/Lycke9HSKXIffglNdCFN13qnhxVT0ultdCJQAj+wZ3eGxSpPkXpiNF7t2HI/Xf9A7oDS+Vl8KjIVKWw6aJA8DWrVvx5JNPyrOipk+fjg0bNlgck5+fD71eL3/9zDPPoK6uDgsXLkRFRQWSk5Oxc+dOBAYGyse8/fbbePnll+Wvb7vtNgDA5s2bMX/+fAe+IyLn1yfED4IAXDU0oaymAeEB7lmelbI3CdFBCPRVd3isFOD8UP4Dahtr4af26/B4V8X+G6IWDg1wQkND8cEHH3R4zPW/YQqCgIyMDGRkZLR7TmevE3kyX7UXegX54oq+HhfKat02wMm1ov9G0su/F6L8olBUW4RjpccwptcYRw9PEZxBRdSCe1ERuSGp0fiCG6+FI82gGtXO+jfXEgRBzuIcLnbfjTe5yB9RCwY4RG5I6sO54KZTxWsMTThRYF6w86ZOGowlUoDjzhtvMoND1IIBDpEbcvcMTt6lShhNImJ0vlZvRyEHOCV5MJqMjhyeIkRRxMWq5h6cIAY4RAxwiNyQnMEpd88MzmErp4dfa1DIIPir/VHTWIMfK3901NAUU15fjtqmWggQ0Cegj9LDIVIcAxwiN+Tu2zXkF1UDABLb2Z6hLV4qLwwKGQQAOFN5xiHjUpJUnor2j4aPl4/CoyFSHgMcIjcklajKahpQXd+o8Gjs70yJufQ2IDLApvNu0Jl3Ez9Xdc7uY1Ia+2+ILDHAIXJDARpvhAeYf4t3t0Zjo0nE2ZKrAID+EbYFOPG6eADA2cqzdh+X0hjgEFligEPkpvqGuudMqiuVdTA0meDjpUJsqG0L9kkBjjtmcLjIH5ElBjhEbkqeSeVmm27+2Jy9iQ/3h5dKsOlcKcC5oL/gdjOpmMEhssQAh8hNyTOp3GzTzTPFzeWpSH+bz43xj4GPygcNpgZcqbli76Ep6lJV8yJ/3EWcCAADHCK31TJV3L0yOGeaMzgDbOy/AcwzqeJ0cQCAc3r3KVNVN1SjwmCeOs8MDpEZAxwiN9U31JzhcLep4meKzQFbfxtnUEnkPhw3CnB+qv4JABDqGwp/te2ZLSJ3xACHyE1F63wBACVXDa02tXVlZ7o4g0rijgFOSV0JACDSL1LhkRA5DwY4RG4qzN88TbzRKEJf5x5r4VTUNKCspgEAcENE1zIV0lo4Z/XuM1W8rK4MABDmG6bwSIicBwMcIjflq/ZCoK83AKD0qkHh0diHlL3pHayFn493l67hjhmcsvrmAEfLAIdIwgCHyI1FBGgAACXVDQqPxD6kAKer2RsA6BfUDwIEVBoqUVFfYa+hKYoZHKLWGOAQubHwQHOA4y4ZnB+bp4jbukXDtbTeWsQExABwnzIVMzhErTHAIXJjUgbHXQIcaQ+qrjYYS9xtqnh5XTkABjhE12KAQ+TGpP2o3CfA6d4MKkl8kHv14cgZHJaoiGQMcIjcWLiUwXGDHpz6RiMulZvX9OlOiQoAbgh2r5lUcg8OMzhEMgY4RG7MnXpwzpfVwCQCQb4tO6V3lTtlcJpMTag0VAJgBofoWgxwiNxYuBv14Fy7grEg2LbJ5vWkqeJXrl5BfVN9t8empIr6CogQoRJUCNYEKz0cIqfBAIfIjbX04Lh+iUqeQdXN/hvAvKWBTqODCBEXqi50+3pKkvpvQjQh8FJ5KTwaIufBAIfIjUkZHHfYrkFuMO5m/w0ACILgNmUq9t8QtY0BDpEbi2juwWloMqHa0KTwaLqnO7uIt0VqNHb5AIczqIjaxACHyI35qr0QoGnerqHadftwTCbRrhkcoKXR2NVnUjGDQ9Q2BjhEbs4d+nCu6OtQ32iCj5cKsSFau1zTXfak4jYNRG1jgEPk5uQ+HBfO4EgrGMeF+8Hbyz7ftqRdxc9XnYdJNNnlmkoorS8FwAwO0fUY4BC5OXeYKi7NoOruCsbXigmIgVqlhsFowJWrV+x23Z7GEhVR2xjgELm58EDX367BXls0XMtL5YV+Qf0AuHaZik3GRG1jgEPk5twhg3PGDruIt0UqU7l0gMMMDlGbGOAQubmWHhzXbTJ2RAYHaGk0dtWZVEaTkds0ELWDAQ6Rm3P1DI6+rlGeAXZDhL9dr+3qM6kqDBUwiSYIEBDiG6L0cIicCgMcIjcX4eI9OJcr6gAAYf4+8G9e08deegf0BgAU1hTa9bo9RSpPBWuC4a2y72dD5OoY4BC5uWszOK64XUOB3hzg9Ar2tfu1o/2jAQDFtcUwmox2v76jyQ3G7L8hasWhAU5FRQXS0tKg0+mg0+mQlpaGysrKDs8RRREZGRmIiYmBVqtFamoqjh8/Lr9eXl6OJ554AgkJCfDz80Pfvn3x5JNPQq/XO/KtELksKcCpbzShpsH1fohf0Zt3++6ls88Cf9eK0EbAS/BCk9gkBwuuhIv8EbXPoQHO3LlzkZeXh6ysLGRlZSEvLw9paWkdnrN69WqsXbsWGzZsQG5uLqKjozFhwgRUV1cDAK5cuYIrV67g9ddfx/fff4/3338fWVlZePjhhx35Vohclr/GG1q1eZdpV9yuoaDSnMGJ0dk/g+Ol8kKEXwQA1yxTldeXAwBCtaEKj4TI+TisaHvy5ElkZWUhJycHycnJAIBNmzYhJSUF+fn5SEhIaHWOKIpYv349XnjhBcyaNQsAsGXLFkRFRWHbtm1YsGABEhMT8cknn8jn9O/fH6+++iruv/9+NDU1wdubdWii64UH+uBSeR1KrxoQF27fRl1HK5AyOMH2z+AAQLRfNAprClFYU4hhEcMccg9HYQaHqH0Oy+Ds27cPOp1ODm4A4Oabb4ZOp8PevXvbPOfcuXMoLCzExIkT5ec0Gg3Gjx/f7jkAoNfrERQU1G5wYzAYUFVVZfEg8iQRLjyT6kpzBqeXAzI4QEsfjitmcKSyWrg2XOGREDkfhwU4hYWFiIyMbPV8ZGQkCgvb/kYiPR8VFWXxfFRUVLvnlJWVYfny5ViwYEG7Y1m5cqXcB6TT6RAbG2vt2yByC/JaOC644aaUwYlxVAZHCnBqXTDA4SJ/RO2yOcDJyMiAIAgdPg4ePAgAEASh1fmiKLb5/LWuf729c6qqqnDnnXfixhtvxEsvvdTu9ZYtWwa9Xi8/Ll26ZM1bJXIb4YHNGRwX68ExmcSWWVTM4LTCbRqI2mdzw8qiRYswZ86cDo+Ji4vD0aNHUVRU1Oq1kpKSVhkaSXR08zeawkL06tVLfr64uLjVOdXV1Zg8eTICAgKQmZkJtVrd7ng0Gg00Gk2HYyZyZ6662F9pjQGNRhEqAYgKYoBzPWZwiNpnc4ATHh6O8PDO670pKSnQ6/U4cOAAxowZAwDYv38/9Ho9xo4d2+Y58fHxiI6ORnZ2NpKSkgAADQ0N2LVrF1atWiUfV1VVhUmTJkGj0WDHjh3w9XXMNz4idxER4JqL/RVUmstTkYG+UHs5pqLuqgGOSTTJs6iYwSFqzWE9OEOGDMHkyZORnp6OnJwc5OTkID09HVOnTrWYQTV48GBkZmYCMJemFi9ejBUrViAzMxPHjh3D/Pnz4efnh7lz5wIwZ24mTpyImpoavPfee6iqqkJhYSEKCwthNLreGh9EPaElg+NaPTiOXORPEu1nDnBK60rRaGx02H3sTW/Qwyiav+dxmjhRaw6dU71161Y8+eST8qyo6dOnY8OGDRbH5OfnWyzS98wzz6Curg4LFy5ERUUFkpOTsXPnTgQGBgIADh06hP379wMABgwYYHGtc+fOIS4uzoHviMg1yT04LpbBudKcwYlxwCJ/klDfUPiofNBgakBxXbG8fYOzk8pTOo0OalX7JXoiT+XQACc0NBQffPBBh8dcv3S8IAjIyMhARkZGm8enpqa65HLzREpq2VHctQIcRzcYA+bvOVH+UbhUfQmFNYUuE+CU1pcCYHmKqD3ci4rIA4Q39+DUNhhR29Ck8Gisd8XBi/xJXLEPhw3GRB1jgEPkAQI03tB4m/+5l1a7Th+OI7dpuJbUh+OSAQ4zOERtYoBD5AEEQbhmsT/XKVM5epsGiUtmcLiTOFGHGOAQeQhXazRuMppQVCU1GTs4g+OCqxkzg0PUMQY4RB7C1dbCKa42wCQCaq+W7JOjSAFOUU3rxUmdFTM4RB1jgEPkIeS1cFykB0faZDNa5wuVquPtXbpLCnAKagoceh97YgaHqGMMcIg8hKtt1yDPoHLgGjgSKcCpNFSirqnO4fezB2ZwiDrGAIfIQ4S7WImqp2ZQAUCgOhB+3n4AXKNMJYoit2kg6gQDHCIP4WpNxj01gwowzzJzpUbjqoYqNJnM6xlxmwaitjHAIfIQrrYf1ZUezOAArjVVXOq/CVQHQuPl2AZsIlfFAIfIQ7Q0GbtYBqcHenAAFwtw2H9D1CkGOEQeIqI5wKk2NKG+0ajwaDrXEzuJX8uVVjOWMjihvixPEbWHAQ6RhwjSesPHq3m7BifvwzE0GeVSmiN3Er+WK/XgMIND1DkGOEQeQhAEhMkzqZy7D6ewuTzlq1Yh2E/dI/eM8o8C4BqzqLgGDlHnGOAQeZCIQNfow7lSKW3RoIUgOHaRP4kr9uCEa8MVHgmR82KAQ+RBXGWxP2kGVU/13wAtPThXG6+iuqG6x+7bFXIGhyUqonYxwCHyIGH+5hJVWY1zl6ikBuOe6r8BAD+1H3QaHQDnz+JU1FcAAEJ8QxQeCZHzYoBD5EGkfhZ9XaPCI+nYlR5c5O9arjKTSt+gBwAEa4KVHQiRE2OAQ+RBgv3MGZzKWifP4PTwIn8SV5lJpTeYAxydj07hkRA5LwY4RB5EpzVncCprnTuD05PbNFzLFRqNTaIJVQ1VACCX1IioNQY4RB5EKlFVOnuJSukMjhMHOFcbr8IkmgAAQZoghUdD5LwY4BB5kGCtuUSld+IMTo2hCVX15o0kezqDE+Xn/GvhSOUprbeW+1ARdYABDpEHacngOG8PjjSDKtDXGwEa7x69tyv04FQZzOWpIB9mb4g6wgCHyIO4Qg/OtYv89bRrS1SiKPb4/a0hZXBYniLqGAMcIg+ia87gGJpMTrvhZk9vsnktqURlMBpQaajs8ftbQ24w5gwqog4xwCHyIIEab3ipzFsfOOtaOFIGp5cCGRwfLx95fydnbTSWp4hzBhVRhxjgEHkQQRCcvkzVsopxz2dwgJYyVUFNgSL374y0yB8DHKKOMcAh8jDBcoDjnI3GJc0bgUYFKRPgRPhFAGjZ0NLZcJE/IuswwCHyMDonXwun9Ko58AoP9FHk/lKJStrQ0tmwyZjIOgxwiDyMlMFx1rVwpJ3Ow/yVWeMl1DcUgBMHOCxREVmFAQ6Rh5H3o3LCtXBEUUSZnMFRJsAJ0zZncJy0RCWtg8MSFVHHGOAQeRhnbjKuqmtCg9G8DUGYv0IlKq1rlKiYwSHqGAMcIg8jBTjOOE28pLk8FejrDV+1lyJjkHpwyuvLFbl/Z6R1cLiSMVHHGOAQeRhn3nBT6r+JCFBujyVnzuCIosgMDpGVGOAQeRgpwHHGJmMpwAlXMsBpzuBUN1bDYDQoNo621Bvr0WAy9ygxwCHqmEMDnIqKCqSlpUGn00Gn0yEtLQ2VlZUdniOKIjIyMhATEwOtVovU1FQcP37c4pgFCxagf//+0Gq1iIiIwIwZM/DDDz848J0QuQ9pR3FnbDIubV4DR6kp4oC59KNWmYPA8jrnKlNJ2RtvwRt+3n4Kj4bIuTk0wJk7dy7y8vKQlZWFrKws5OXlIS0trcNzVq9ejbVr12LDhg3Izc1FdHQ0JkyYgOrqavmYUaNGYfPmzTh58iS++OILiKKIiRMnwmh0zr11iJyJvA6OU2ZwmmdQKZjBEQShZaq4k82kunYNHEEQFB4NkXPzdtSFT548iaysLOTk5CA5ORkAsGnTJqSkpCA/Px8JCQmtzhFFEevXr8cLL7yAWbNmAQC2bNmCqKgobNu2DQsWLAAAPProo/I5cXFx+P3vf4/hw4fj/Pnz6N+/v6PeEpFbcOZ1cJyhRAWY+3CKaoucrg9H3miT5SmiTjksg7Nv3z7odDo5uAGAm2++GTqdDnv37m3znHPnzqGwsBATJ06Un9NoNBg/fny759TU1GDz5s2Ij49HbGxsm8cYDAZUVVVZPIg8lbQOTrWhCY3NU7KdhdMEOL7OuRYOt2kgsp7DApzCwkJERka2ej4yMhKFhW3v0is9HxUVZfF8VFRUq3PefPNNBAQEICAgAFlZWcjOzoaPT9t1+5UrV8p9QDqdrt1AiMgTBPm2JG6rnGwmVYlcolKuBwdw3plUnEFFZD2bA5yMjAwIgtDh4+DBgwDQZo1YFMVOa8fXv97WOffddx+OHDmCXbt2YeDAgZg9ezbq6+vbvN6yZcug1+vlx6VLl2x5y0RuxdtLhcDmIMfZpopLTcZhCmdwnLYHh9s0EFnN5h6cRYsWYc6cOR0eExcXh6NHj6KoqKjVayUlJa0yNJLo6GgA5kxOr1695OeLi4tbnSNlYwYOHIibb74ZISEhyMzMxL333tvquhqNBhqNst8wiZyJTqtGdX2TUy32J4oiymqUXwcHuGaxPyebRSVt08BF/og6Z3OAEx4ejvDw8E6PS0lJgV6vx4EDBzBmzBgAwP79+6HX6zF27Ng2z4mPj0d0dDSys7ORlJQEAGhoaMCuXbuwatWqDu8niiIMBudas4LIWQX7qfFTRZ1TNRrXNBhR32juCVJymjjgvPtRSRkc7iRO1DmH9eAMGTIEkydPRnp6OnJycpCTk4P09HRMnTrVYgbV4MGDkZmZCcBcmlq8eDFWrFiBzMxMHDt2DPPnz4efnx/mzp0LADh79ixWrlyJQ4cO4eLFi9i3bx9mz54NrVaLKVOmOOrtELkVZ1wLRypP+fl4wc/HYRM8reL0PThsMibqlEO/i2zduhVPPvmkPCtq+vTp2LBhg8Ux+fn50Ov18tfPPPMM6urqsHDhQlRUVCA5ORk7d+5EYGAgAMDX1xe7d+/G+vXrUVFRgaioKNx2223Yu3dvm03NRNSaM66F4ywzqADnnUUl7yTOHhyiTjk0wAkNDcUHH3zQ4TGiKFp8LQgCMjIykJGR0ebxMTEx+Pe//22vIRJ5pGAn3FG8JcBRtjwFtGRwKg2VaDQ1yisbK41NxkTW415URB5I3o/KiZqMS5xgFWNJsCYYXoJ5N/OK+gqFR9OCJSoi6zHAIfJAcg9OrfP14IQHKh/gqAQVQnxDADhXHw7XwSGyHgMcIg8k9+A4UQbHmXpwAOfrw2k0NaK2qRYAAxwiazDAIfJA8n5UThjgRDhBDw7gfDOppAZjAQIC1AEKj4bI+THAIfJA0n5UzrQOjjPsJH4tZ8vgSA3GgT6B8FJ5KTwaIufHAIfIA+m0zluiUnqbBom8XYOTZXC4ijGRdRjgEHmgYHkdnAaYTGInR/cMucnY2UpUzpLBYYMxkU0Y4BB5ICmDYxKBqw1NCo8GqGswoqbBCMA5ZlEBzteDwzVwiGzDAIfIA/mqveCrNv/zd4Y+HKk85eOtQqBG2W0aJE7Xg8M1cIhswgCHyEO1rIXjPAFORIAGgiAoPBozKYPjLDuKSwEON9oksg4DHCIPJffhOMGGmy0zqJyj/wZoyeBUGCpgNBkVHg17cIhsxQCHyEPpnGg/Kmdb5A8AQnxDIECASTSh0lCp9HBaenBYoiKyCgMcIg/lTPtRtcygcp4Ax1vljWBNMADn6MOpauBO4kS2YIBD5KGkHhynCHCkDE6g85SoAOeaSSWtg8MAh8g6DHCIPJTumrVwlOZsqxhLnGkmldxkzIX+iKzCAIfIQzlTD06JE/bgAECo1nlWM+Y6OES2YYBD5KGCnWhH8ZZtGpysROUkGRyTaGKJishGDHCIPJTcg+MEGRypyTjCyTI4ztKDU91QDRHmLTVYoiKyDgMcIg/lLOvgGJqMqKo3bxfhbCUqZ8ngSNkbrbcWPl7OleUiclYMcIg8lLP04JQ1Nxh7qwR5TM7CWVYzZv8Nke0Y4BB5KGdZB+fa/huVyjm2aZDIGRyFS1Ry/w0X+SOyGgMcIg8V7GcudRiaTKhvVG4rAmdcxVgiZ3Dqy2ESTYqNgxkcItsxwCHyUP4+XvBuzpgoWaYqrXbONXAAINTXPE28SWySsyhK4D5URLZjgEPkoQShpedFyUZjZ10DBwB8vHwQ6BMIQNlGYy7yR2Q7BjhEHqxlNWPlMjhSk7GzbdMgkfpwyuuVazSWSlRBGgY4RNZigEPkwYKdYCaV1IPjbGvgSJxhLRy5RMUmYyKrMcAh8mBSo7FewRKVs65iLJH6cJQsUXEVYyLbMcAh8mDOlMFxxh4cwDmminMWFZHtGOAQeTCdE+xH5aw7iUvkEpUTNBmzREVkPQY4RB5M3o9KoQCnyWhCRa2LBDgKZnCqGliiIrIVAxwiDyavZqxQiaq8pgGiCKgEINTfOXtwlC5RiaLIdXCIuoABDpEHU3rDTWkNnFB/H3g52TYNEqVLVHVNdWg0mQNQroNDZD0GOEQeLEjhJuOKGvN9nTV7AwChGvMsqkpDpSL3l8pT3ipvaL21ioyByBUxwCHyYErPoiqracngOKsQ3xAA5kxKXVNdj9//2gZjQXDOLBeRM2KAQ+TBWtbBUSqDYy6NOXOA46/2h7fKGwBQWV/Z4/dn/w1R1zDAIfJgUgbnqqEJjcae3y27vDlzFOLnvAGOIAgI0ZizOBWGih6/v7xNA/tviGzi0ACnoqICaWlp0Ol00Ol0SEtLQ2VlZYfniKKIjIwMxMTEQKvVIjU1FcePH2/32F/+8pcQBAGffvqp/d8AkZuTenAAoEqBLE55c4kqzIkzOEBLmaqivucDHK5iTNQ1Dg1w5s6di7y8PGRlZSErKwt5eXlIS0vr8JzVq1dj7dq12LBhA3JzcxEdHY0JEyagurq61bHr169nTZqoG7xUAgI15vKLEmUqqck4xNkDHAUzOFKTMTM4RLbxdtSFT548iaysLOTk5CA5ORkAsGnTJqSkpCA/Px8JCQmtzhFFEevXr8cLL7yAWbNmAQC2bNmCqKgobNu2DQsWLJCP/e6777B27Vrk5uaiV69ejnobRG4vSKtGtaFJkQDHFZqMAYUzOFKAw53EiWzisAzOvn37oNPp5OAGAG6++WbodDrs3bu3zXPOnTuHwsJCTJw4UX5Oo9Fg/PjxFufU1tbi3nvvxYYNGxAdHd3pWAwGA6qqqiweRGSmay5TKZnBcfYAJ1gTDEDZEhUzOES2cViAU1hYiMjIyFbPR0ZGorCwsN1zACAqKsri+aioKItzlixZgrFjx2LGjBlWjWXlypVyH5BOp0NsbKy1b4PI7SkZ4JS5wCwqoGVHcZaoiFyHzQFORkYGBEHo8HHw4EEAaLM/RhTFTvtmrn/92nN27NiBr776CuvXr7d6zMuWLYNer5cfly5dsvpcIncnBTg93WQsiqK8D5WzBzjBvsEAlJkmzhIVUdfY3IOzaNEizJkzp8Nj4uLicPToURQVFbV6raSkpFWGRiKVmwoLCy36aoqLi+VzvvrqK5w5cwbBwcEW595999249dZb8c0337S6rkajgUbjnBv5ESlNqQxOVX0TjCYRgHNPEwcUbjJmiYqoS2wOcMLDwxEeHt7pcSkpKdDr9Thw4ADGjBkDANi/fz/0ej3Gjh3b5jnx8fGIjo5GdnY2kpKSAAANDQ3YtWsXVq1aBQB47rnn8Mgjj1icN3ToUKxbtw7Tpk2z9e0QeTydnzIBTnlzecrfxwu+aq8evbetnKLJmAEOkU0cNotqyJAhmDx5MtLT07Fx40YAwKOPPoqpU6dazKAaPHgwVq5cibvuuguCIGDx4sVYsWIFBg4ciIEDB2LFihXw8/PD3LlzAZizPG01Fvft2xfx8fGOejtEbkupDI4U4Dj7FHGgpclYif2oGOAQdY3DAhwA2Lp1K5588kl5VtT06dOxYcMGi2Py8/Oh1+vlr5955hnU1dVh4cKFqKioQHJyMnbu3InAwEBHDpXIYwUpHOA4+yJ/QEuTcaWhEibRBJXQM4vAi6KI6gbzGmDswSGyjUMDnNDQUHzwwQcdHiOKosXXgiAgIyMDGRkZVt/n+msQkfWUyuBUuGAGxySaUGWokpuOHa2msQZG0QiAGRwiW3EvKiIP1xLgNPXofculGVRO3mAMAGovNQLUAQB6ttFYKk/5qHzg6+3bY/clcgcMcIg8nFLTxMtdZA0ciRKNxpwiTtR1DHCIPBybjK2jxFRxThEn6joGOEQeTgpwrhqa0GQ09dh9XanJGFA4g8MAh8hmDHCIPFyQb8tcg6r6nuvDcbUMjhJTxVmiIuo6BjhEHs7bS4UAjTnI6ckylats0yBRJIPDEhVRlzHAISJF+nDKrzLA6QxLVERdxwCHiHp8sb+GJhOqDeZymCtMEwcUajJmiYqoyxjgEBF02p4tUUnlKZXQkj1ydixREbkWBjhE1OMlKrnB2M8HKpXQI/fsLkWbjBngENmMAQ4R9fhifxUutsgf0LIfFXtwiFwDAxwi6vEMTpmLTREHIO8/VdtUC4PR0CP3ZA8OUdcxwCGilgCntmd7cFylwRgAAtWB8BbMvUo9lcVhDw5R1zHAIaKez+BIU8QDXCfAEQRBzuL0RIAjiiJLVETdwACHiHp8mrgrZnCAlkbjnpgqXttUC6NoBMASFVFXMMAhIsV6cFypyRjo2UZjqTylVqnh6+Xr8PsRuRsGOETU4wGOK86iAnp2qvi15SlBcI2p9ETOhAEOEfX4NHFX22hT0pOL/XEGFVH3MMAhIjnAqTY0wWgSHX4/KcAJY4DTLs6gIuoeBjhEJDcZA47P4oiiKDcZu1oGpyebjDmDiqh7GOAQEdReKvj7eAFwfB9OtaEJjUZzlsjVZlH1aJMxS1RE3cIAh4gA9FyjsdRgrFV7QdscVLmKnmwy1hv0AJjBIeoqBjhEBKDn1sIpd9EZVIBCTcYMcIi6hAEOEQHouQyOSwc4GnOAU2mohEk0OfReDHCIuocBDhEB6PkAx9UajIGWDI5RNKK6odqh92IPDlH3MMAhIgA9H+C42hRxAPDx8oG/2h+A48tU1QZzAMUMDlHXMMAhIgA9t9hfuTRF3MVmUEl6qtGYJSqi7mGAQ0QAen4WVZgL7SR+rZ6aKs4SFVH3MMAhIgCAzq+He3BcPIPjyMX+RFHkSsZE3cQAh4gAKDGLSt3Jkc6pJ6aK1zXVoUlsAsAAh6irGOAQEQAl1sHROPQ+jiJNFXdkgCOVp7xV3tB6ax12HyJ3xgCHiAAwg2OtYN9gAI4tUV27irEgCA67D5E7Y4BDRAB6JsBpNJpQVW8uvbhqBqcnmow5g4qo+xjgEBGAlgCnur4JRpPokHtIu4gLQsv9XE1PTBPnDCqi7mOAQ0QALAOO6nrHZHEqaszXDdaq4aVyzdJLTzQZcwYVUfc5NMCpqKhAWloadDoddDod0tLSUFlZ2eE5oigiIyMDMTEx0Gq1SE1NxfHjxy2OSU1NhSAIFo85c+Y48J0QuT+1lwp+zbt7O6pMVVZjAOCa+1BJ5CZjB/bgsERF1H0ODXDmzp2LvLw8ZGVlISsrC3l5eUhLS+vwnNWrV2Pt2rXYsGEDcnNzER0djQkTJqC62nLfl/T0dBQUFMiPjRs3OvKtEHkEKYtTWevYDI5LBzjNGZyaxho0GBscco9rm4yJqGu8HXXhkydPIisrCzk5OUhOTgYAbNq0CSkpKcjPz0dCQkKrc0RRxPr16/HCCy9g1qxZAIAtW7YgKioK27Ztw4IFC+Rj/fz8EB0d7ajhE3kknVaNAn29wzI45W6QwQn0CYSX4AWjaERFfQWi/KPsfg/24BB1n8MyOPv27YNOp5ODGwC4+eabodPpsHfv3jbPOXfuHAoLCzFx4kT5OY1Gg/Hjx7c6Z+vWrQgPD8fPfvYz/Pa3v22V4bmWwWBAVVWVxYOIWnP0WjjlbpDBUQkq6DQ6AI5rNGaJiqj7HJbBKSwsRGRkZKvnIyMjUVhY2O45ABAVZfkbUVRUFC5cuCB/fd999yE+Ph7R0dE4duwYli1bhu+++w7Z2dltXnflypV4+eWXu/pWiDyGo6eKV7j4RpuSEE0IyuvLHdaHwwCHqPtszuBkZGS0avC9/nHw4EEAaHOBKlEUO1246vrXrz8nPT0dd9xxBxITEzFnzhz84x//wP/7f/8Phw8fbvN6y5Ytg16vlx+XLl2y9W0TeQRHBzhl8iJ/Lh7gOHgmVbXBnJFmiYqo62zO4CxatKjTGUtxcXE4evQoioqKWr1WUlLSKkMjkXpqCgsL0atXL/n54uLids8BgJEjR0KtVuP06dMYOXJkq9c1Gg00GtdcVIyoJ0kBTpWjMjhuFuCU15c75PrM4BB1n80BTnh4OMLDwzs9LiUlBXq9HgcOHMCYMWMAAPv374der8fYsWPbPEcqO2VnZyMpKQkA0NDQgF27dmHVqlXt3uv48eNobGy0CIqIyHaOzuCUXjU3GYcFuPYvHI5ezZgBDlH3OazJeMiQIZg8eTLS09ORk5ODnJwcpKenY+rUqRYzqAYPHozMzEwA5tLU4sWLsWLFCmRmZuLYsWOYP38+/Pz8MHfuXADAmTNn8Morr+DgwYM4f/48/v3vf+Oee+5BUlISxo0b56i3Q+QRHB3gSPtQhblJBscRAY4oivJCf1IzMxHZzmFNxoB5ptOTTz4pz4qaPn06NmzYYHFMfn4+9Hq9/PUzzzyDuro6LFy4EBUVFUhOTsbOnTsRGBgIAPDx8cGXX36JP/7xj7h69SpiY2Nx55134qWXXoKXl5cj3w6R23NkgGMyiS0BToBrBzhSBscRJaq6pjo0ieb9upjBIeo6hwY4oaGh+OCDDzo8RhQt97wRBAEZGRnIyMho8/jY2Fjs2rXLXkMkoms4MsCpqm9EU/MeV67eg+PIAEcqT3kL3tB6a+1+fSJPwb2oiEjmyHVwSq+aszeBvt7QeLt2ttWRAY68irEmqNMZp0TUPgY4RCRzZAbHXfpvgJ7J4LA8RdQ9DHCISCYFONX1TTCaxE6Otk2Zm8ygAloCnKqGKjQa7RsMMsAhsg8GOEQkkwIcAKiut+8P7lI3yuDoNDqoBPO3T3uvZizNoArUBNr1ukSehgEOEcl8vFXQqs39MfYuU7lTBkclqBCiccxif8zgENkHAxwisuCoPhx36sEBHLeaMQMcIvtggENEFhwV4JRddY81cCRhvmEAHBDgGBjgENkDAxwisuCoAMddtmmQyDOp6hyTweEqxkTdwwCHiCw4ai0cqUQV7iYlqlBt835U9m4yZomKyC4Y4BCRBYeVqKSdxN2kRMUmYyLnxgCHiCw4IsBpMppQUSs1GbtJiUrroBKV1IOjYYBD1B0McIjIQoifOcCprLFfgFNR2whRBASh5fquzlGrGUtbNbAHh6h7GOAQkQWphCSVlOxB6r8J8fOBt5d7fNtxxCwqo8mISkMlgJYAioi6xj2+0xCR3Ujr1JTXGOx2TWmRP1ffRfxajlgHR9+ghwjzFhnM4BB1j7fSA3BmRqMRjY3233SQPJtarYaXl/Puph3a3CNTbscMjjtt0yCRMiy1TbWoa6qD1lvb7WtW1JtnZAX5BEGtco9SHpFSGOC0QRRFFBYWorKyUumhkJsKDg5GdHQ0BEFQeiitSFkWe5aopAxOuJusgQMAAeoAqFVqNJoaUVFfAW1A9wMcKRvE8hRR9zHAaYMU3ERGRsLPz88pfwiRaxJFEbW1tSguLgYA9OrVS+ERtSZlWarrm9DQZIKPd/cr2fI2DW4yRRwABEFAqG8oimqLUFFfgZiAmG5fU8rgSOUvIuo6BjjXMRqNcnATFham9HDIDWm15t/0i4uLERkZ6XTlKp1WDS+VAKNJRHlNA6J1vt2+ZmnzNg3u1IMDQA5wyurL7HI9KYMjrbFDRF3HJuPrSD03fn5+Co+E3Jn098sZe7xUKgEhflKZyj6Nxu60k/i17D1VXMrgSGvsEFHXMcBpB8tS5EjO/verZSaVffpwytxsmwaJvQMcZnCI7IcBDhG1EmrnAKelB8c9MzhS5qW7pH2t2GRM1H0McKhT58+fhyAIyMvLU3oo1EPkxf6u2ifAadlJ3M0yOFrHlKjYZEzUfQxwyOnNnz8fM2fOVHoYHsWeJSpDkxHV9U0W13UXUinJ7k3GDHCIuo0BjhtraLDfOiZKMBqNMJlMSg/DI9lzLZyK5j2tvFUCgnzda/G6MK15pqXdSlT1LFER2QsDHDeSmpqKRYsWYenSpQgPD8eECRMAACdOnMCUKVMQEBCAqKgopKWlobS0VD4vKysLt9xyC4KDgxEWFoapU6fizJkzNt07Li4Oy5cvx9y5cxEQEICYmBi88cYbFsesXbsWQ4cOhb+/P2JjY7Fw4UJcvXpVfv39999HcHAwPv/8c9x4443QaDR48MEHsWXLFnz22WcQBAGCIOCbb77p+odEVrHndg2l12zToFI5d3O1rezZZGwSTfI+VGwyJuo+BjhWEEURtQ1NijxEUbRprFu2bIG3tzf27NmDjRs3oqCgAOPHj8eIESNw8OBBZGVloaioCLNnz5bPqampwdKlS5Gbm4svv/wSKpUKd911l83Zk9deew3Dhg3D4cOHsWzZMixZsgTZ2dny6yqVCn/6059w7NgxbNmyBV999RWeeeYZi2vU1tZi5cqVePfdd3H8+HH86U9/wuzZszF58mQUFBSgoKAAY8eOtWlcZDt7btdQ5qYNxsA1AU5duc3/Vq9X3VANo2gEwBIVkT1woT8r1DUaceOLXyhy7xOvTIKfj/X/mQYMGIDVq1fLX7/44osYOXIkVqxYIT/3l7/8BbGxsTh16hQGDRqEu+++2+Ia7733HiIjI3HixAkkJiZafe9x48bhueeeAwAMGjQIe/bswbp16+RM0uLFi+Vj4+PjsXz5cvz617/Gm2++KT/f2NiIN998E8OHD5ef02q1MBgMiI6Otnos1D32LFHJa+C4Wf8N0BKINJgaUNNYgwCfgC5fS8oCBagD4OPlfp8VUU9jBsfNjB492uLrQ4cO4euvv0ZAQID8GDx4MADIZagzZ85g7ty5uOGGGxAUFIT4+HgAwMWLF226d0pKSquvT548KX/99ddfY8KECejduzcCAwMxb948lJWVoaamRj7Gx8cHw4YNs+m+ZH9hdpxF5Y7bNEi03lp5k83u9uGwwZjIvpjBsYJW7YUTr0xS7N628Pf3t/jaZDJh2rRpWLVqVatjpX2Qpk2bhtjYWGzatAkxMTEwmUxITEy0S5OytKDdhQsXMGXKFDz22GNYvnw5QkND8e233+Lhhx+2WM1Xq9U6/SJ4nkDK4OjrGtFoNEHt1fXfhaRtGsL83a9EBZjLVJevXkZZfRlig2K7fB1OESeyLwY4VhAEwaYykTMZOXIkPvnkE8TFxcHbu/V7KCsrw8mTJ7Fx40bceuutAIBvv/22S/fKyclp9bWULTp48CCampqwZs0aqFTmH5bbt2+36ro+Pj4wGo1dGhN1TYifDwQBEEWgorYBkYFd34+qzE3XwJGE+Ybh8tXL3W405k7iRPbFEpWbe/zxx1FeXo57770XBw4cwNmzZ7Fz50489NBDMBqNCAkJQVhYGN555x38+OOP+Oqrr7B06dIu3WvPnj1YvXo1Tp06hT//+c/4+OOP8dRTTwEA+vfvj6amJrzxxhs4e/Ys/va3v+Htt9+26rpxcXE4evQo8vPzUVpa6pT7N7kbr2v2o+puo7HcZOyGPThAS8aluwEOp4gT2RcDHDcXExODPXv2wGg0YtKkSUhMTMRTTz0FnU4HlUoFlUqFjz76CIcOHUJiYiKWLFmC1157rUv3+s1vfoNDhw4hKSkJy5cvx5o1azBpkrm0N2LECKxduxarVq1CYmIitm7dipUrV1p13fT0dCQkJGD06NGIiIjAnj17ujQ+so28XUM3+3DceRYVYL/tGqRtGjhFnMg+XLPuQm1qb32YgQMH4p///Ge7591xxx04ceKExXPXTnmNi4uzagpsUFAQ/v73v7f7+pIlS7BkyRKL59LS0uQ/z58/H/Pnz291XkREBHbu3Nnp/cm+7DWTyt1LVPZaC4dNxkT2xQwOEbXJXts1SDOxwt24yRjo/nYNLFER2RcDHCJqkz0yOLUNTahrNDeIh7ppBsfePTjM4BDZh0MDnIqKCqSlpUGn00Gn0yEtLQ2VlZUdniOKIjIyMhATEwOtVovU1FQcP3681XH79u3Dz3/+c/j7+yM4OBipqamoq6tz0Duhzpw/f95iIT9yffbYrkHK3mi8VfD3sW3JA1cR5muf/agY4BDZl0MDnLlz5yIvLw9ZWVnIyspCXl6eRc9FW1avXo21a9diw4YNyM3NRXR0NCZMmIDq6mr5mH379mHy5MmYOHEiDhw4gNzcXCxatEiefkxE3RdqhxKVlP0JD9C47fpGodru9+CIoohyQ/M0cQ1LVET24LAm45MnTyIrKws5OTlITk4GAGzatAkpKSnIz89HQkJCq3NEUcT69evxwgsvYNasWQDMeytFRUVh27ZtWLBgAQBzs+qTTz4pbwsAmBtpich+QptnPZV2YxaVuzcYA5azqEyiCSrB9l+0qhur0WRqAsAMDpG9OCzlsW/fPuh0Ojm4AYCbb74ZOp0Oe/fubfOcc+fOobCwEBMnTpSf02g0GD9+vHxOcXEx9u/fj8jISIwdOxZRUVEYP358h4vTGQwGVFVVWTyIqGP2aDKWMjihbroGDtAyrdsoGlHdUN3J0W2TylNaby18vbu+qCIRtXBYgFNYWIjIyMhWz0dGRqKwsLDdcwAgKirK4vmoqCj5tbNnzwIAMjIykJ6ejqysLIwcORK/+MUvcPr06Tavu3LlSrkPSKfTITa268upE3kKKevSrQDHzbdpAAC1lxqBPoEAuj6TijOoiOzP5gAnIyMDgiB0+Dh48CAAtFlzF0Wx01r89a9fe47JZAIALFiwAA8++CCSkpKwbt06JCQk4C9/+Uub11u2bBn0er38uHTpkq1vm8jjSFmXitoGGE2dr4PUFqlEFe7GJSqgpdG4vK5rfTjcpoHI/mzuwVm0aBHmzJnT4THS0vpFRUWtXispKWmVoZFER0cDMGdypI0gAXNZSjpHev7GG2+0OHfIkCHt7n6t0Wig0bjvb5BEjiBt1SCKQGVtQ5dWIi5z453ErxXqG4rzVee73GjMGVRE9mdzBic8PByDBw/u8OHr64uUlBTo9XocOHBAPnf//v3Q6/UYO3Zsm9eOj49HdHQ0srOz5ecaGhqwa9cu+Zy4uDjExMQgPz/f4txTp06hX79+tr4dt5Kamuo0U7Xj4uKwfv16pYdB3aD2UkGnVQPoepmqpQfHvX/BkAKTrk4V5zYNRPbnsFlUQ4YMweTJk5Geno6NGzcCAB599FFMnTrVYgbV4MGDsXLlStx1110QBAGLFy/GihUrMHDgQAwcOBArVqyAn58f5s6dC8Bcvnr66afx0ksvYfjw4RgxYgS2bNmCH374Af/4xz8c9XZcwj//+U+o1WqlhwEAyM3Nhb+/v9LDUIQgCMjMzMTMmTOVHkq3hfn7QF/XiLKaBnRlnqInzKICur9dA0tURPbn0L2otm7diieffFKeFTV9+nRs2LDB4pj8/Hzo9Xr562eeeQZ1dXVYuHAhKioqkJycjJ07dyIwMFA+ZvHixaivr8eSJUtQXl6O4cOHIzs7G/3793fk23F6oaHO880xIiLC4fdoaGiAj4/z/OB0tvHYQ6i/D86W1nQ9g+Pm2zRIurtdA0tURPbn0JXxQkND8cEHH8hTsz/44AMEBwdbHCOKosUGi4IgICMjAwUFBaivr8euXbuQmJjY6trPPfccLl26hJqaGuzduxe33HKLI9+KS7i+RBUXF4ff//73mDdvHgICAtCvXz989tlnKCkpwYwZMxAQEIChQ4fKTeEAUFZWhnvvvRd9+vSBn58fhg4dig8//NDiPtXV1bjvvvvg7++PXr16Yd26dW3e+9oSlSAIePfdd3HXXXfBz88PAwcOxI4dO+TXjUYjHn74YcTHx0Or1SIhIQF//OMfLe47f/58zJw5EytXrkRMTAwGDRqEV155BUOHDm31WYwaNQovvvhim5/TN998A0EQ8K9//QvDhw+Hr68vkpOT8f3339v0OaSmpmLRokVYunQpwsPDMWHCBMTFxQGAnJGUvnZV3dmuQRRFlNUwg2MNBjhE9self60hikBDjTIPK3bx7si6deswbtw4HDlyBHfeeSfS0tIwb9483H///Th8+DAGDBiAefPmybuF19fXY9SoUfj8889x7NgxPProo0hLS8P+/fvlay5duhR79uzBjh07kJ2djd27d+Pw4cOdjuXll1/G7NmzcfToUUyZMgX33XcfysvNPxBMJhP69OmD7du348SJE3jxxRfx/PPPY/v27RbX+PLLL3Hy5ElkZ2fj888/x0MPPYQTJ04gNzdXPubo0aM4cuRImzuTX+vpp5/G66+/jtzcXERGRmL69OlobGy0+nMAzAtRent7Y8+ePdi4caM8js2bN6OgoMBiXK5InirehcX+qg1NaDSa/1658zo4gOVif13BEhWR/Tm0ROU2GmuBFTHK3Pv5K4BP13tZpkyZIq8A/eKLL+Ktt97CTTfdhHvuuQcA8OyzzyIlJQVFRUWIjo5G79698dvf/lY+/4knnkBWVhY+/vhjJCcno7q6Glu2bMG2bdvwi1/8AoD5h3lMTOefz/z583HvvfcCAFasWIE33ngDBw4cwOTJk6FWq/Hyyy/Lx8bHx2Pv3r3Yvn07Zs+eLT/v7++Pd99916IUNGnSJGzevBk33XSTPJ7x48fjhhtu6HA8L730EiZMmADAHKj06dMHmZmZmD17dqefg2TAgAFYvXp1q2sHBwfLswJdWUsGx/b9qKTyVIDGG75q99yHSmKvHhw2GRPZDzM4bm7YsGHyn6Wp9teWdKTniouLAZhLRa+++iqGDRuGsLAwBAQEYOfOnfIU/LNnz6KxsRFjxoyRr6HT6drceqOjsfj7+yMwMFC+LwC8/fbbGD16NCIiIhAQEIBNmza1mvo/dOjQVn0u6enp+PDDD1FfX4/GxkZs3boVDz30UKfjSUlJkf8cGhqKhIQEnDx50qrPQTJ69OhO7+PKpNlPXSlReUqDMdC9AEcURZaoiByAGRxrqP3MmRSl7t2d06+ZVSUtltjWc9ICimvWrMG6deuwfv16DB06FP7+/li8eDEaGsw/4KRSVluLMdoyFuka0n23b9+OJUuWYM2aNUhJSUFgYCBee+21ViWhtmZmTZs2DRqNBpmZmdBoNDAYDLj77rs7HU9bpPfV2efQ0XjcibxdQxdKVMXVBotruLMwrXmhv0pDJRqMDfDxsv491zbVosHUPJ2eJSoiu2GAYw1B6FaZyJXs3r0bM2bMwP333w/AHPicPn0aQ4YMAQD0798farUaBw4ckLe8qKqqwunTpzF+/Phu3Xfs2LFYuHCh/NyZM2esOtfb2xsPPPAANm/eDI1Ggzlz5sDPr/PAMCcnB3379gUAVFRU4NSpUxg8eLA8no4+h46o1WoYjUarxu7surNdw+WKOgBAn5DuBemuIFgTDK23FnVNdSisKUTfoL5WnytlfXy9fKH11jpqiEQehwEOWRgwYAA++eQT7N27FyEhIVi7di0KCwvlH+yBgYF44IEH8PTTTyM0NBSRkZF46aWXoFKpOt2Co7P7/vWvf8UXX3yB+Ph4/O1vf0Nubi7i4+OtOv+RRx6Rx7hnzx6rznnllVcQFhaGqKgovPDCCwgPD5fXrunsc+hIXFwcvvzyS4wbNw4ajQYhIa5bdujOLKrLleYAp3eI+//QFgQBvfx74az+LK7UXLEpwLm2PNWdf0NEZIk9OGThd7/7HUaOHIlJkyYhNTUV0dHRrRasW7t2LVJSUjB16lTccccdGDduHIYMGQJf367vgvzYY49h1qxZ+NWvfoXk5GSUlZVZZHM6M3DgQIwdOxYJCQkWTcAd+cMf/oCnnnoKo0aNQkFBAXbs2CH391jzObRnzZo1yM7ORmxsLJKSkqx+D85I2iSzorYBJhv3o/qpohYA0McDAhwAiAkwN9pfuWpbOZv9N0SOwQyOG/nmm28svj5//nyrY67vlYmLi7N4LjQ0FJ9++mmH9wkMDMTWrVvlr2tqavDyyy/j0UcfbffebfXoVFZWyn/WaDTYvHkzNm/ebHHMypUr5T+///777Y5JFEUUFRXJM8asccstt+DYsWNtvmbN53D95y2ZNm0apk2bZvU4nFmIv7lvymgSUVXfiGA/63tLfvKgEhUA9A7oDQC4fPWyTefJM6gY4BDZFQMcstmRI0fwww8/YMyYMdDr9XjllVcAADNmzFBkPMXFxfjb3/6Gy5cv48EHH1RkDO5K4+2FQI03qg1NKKtpsDrAEUXxmgCHGZyOSPtQhWrYYExkTwxwqEtef/115Ofnw8fHB6NGjcLu3bsRHh6uyFiioqIQHh6Od955x6X7XZxVaIAPqg1NKK9pQH8rd+DQ1zXiqqEJANA7mAFOR1iiInIMBjhks6SkJBw6dEjpYcismaJ+rdTUVJvP8WSh/j64UFYrL9xnDSl7Ex6gcftF/iQx/uYAhyUqIufAJmMi6lBYF1Yz9rTyFNCSwSmpK0GjsdHq87hNA5FjMMAhog6FdmGxP0+bQQUAYb5h0HhpYBJNKKwttPo8uUTFbRqI7IoBDhF1qCvbNXjaDCrAvBZOV/pw2IND5BgMcIioQ+FdWM3YE0tUQNcajaVZVGG+YQ4ZE5GnYoBDRB2SS1Q2BTjmEpUnrGJ8LVsbjeua6lDXZA4GmcEhsi8GOETUoa5s1yBt0xDraQFOcwanoKbAquOl8pRapYa/2jP2uyPqKQxwqFPnz5+HIAjIy8tTeiikAGm7hnIrZ1Hp6xpRXS+tgeM5PTiA7asZcx8qIsdhgENOb/78+VbvA0X2F3pND4416wdJ5anwAB9ofTxjDRyJrT04nCJO5DgMcNxYQ4PtO0A7E6PRCJPJpPQwPJ60Dk6jUUR18+rEHZEajHt70AwqiZTBKaotQqOp87VwpAZjThEnsj8GOG4kNTUVixYtwtKlSxEeHo4JEyYAAE6cOIEpU6YgICAAUVFRSEtLQ2lpqXxeVlYWbrnlFgQHByMsLAxTp07FmTNnbLp3XFwcli9fjrlz5yIgIAAxMTF44403LI5Zu3Ythg4dCn9/f8TGxmLhwoW4evWq/Pr777+P4OBgfP7557jxxhuh0Wjw4IMPYsuWLfjss88gCAIEQWh3k0tyDF+1FwJ9zYueX2nuremIPIPKQ7ZouFaobyh8VD4wiSYU1RR1enxhjXm9nAg/K/fAICKrMcCxgiiKqG2sVeRh65YCW7Zsgbe3N/bs2YONGzeioKAA48ePx4gRI3Dw4EFkZWWhqKgIs2fPls+pqanB0qVLkZubiy+//BIqlQp33XWXzdmT1157DcOGDcPhw4exbNkyLFmyBNnZ2fLrKpUKf/rTn3Ds2DFs2bIFX331FZ555hmLa9TW1mLlypV49913cfz4cfzpT3/C7NmzMXnyZBQUFKCgoABjx461aVzUfQMiAwAAp4uudnKkZy7yJ1EJKpvKVD9W/ggAiNfFO3RcRJ6Ie1FZoa6pDsnbkhW59/65++Gntj7VP2DAAKxevVr++sUXX8TIkSOxYsUK+bm//OUviI2NxalTpzBo0CDcfffdFtd47733EBkZiRMnTiAxMdHqe48bNw7PPfccAGDQoEHYs2cP1q1bJ2eSFi9eLB8bHx+P5cuX49e//jXefPNN+fnGxka8+eabGD58uPycVquFwWBAdHS01WMh+0qICsSRi5U4XVTd6bGXPXQNHElMQAzOV53HlZrOA5wzleZM6cDggY4eFpHHYQbHzYwePdri60OHDuHrr79GQECA/Bg8eDAAyGWoM2fOYO7cubjhhhsQFBSE+Hjzb5MXL1606d4pKSmtvj558qT89ddff40JEyagd+/eCAwMxLx581BWVoaamhr5GB8fHwwbNsym+5LjDYwKBADkWxHgeOIqxteyNoPTZGrCOf05AED/4P4OHxeRp2EGxwpaby32z92v2L1t4e9vuZaGyWTCtGnTsGrVqlbH9urVCwAwbdo0xMbGYtOmTYiJiYHJZEJiYqJdmpSlqa8XLlzAlClT8Nhjj2H58uUIDQ3Ft99+i4cffhiNjS3NmFqtltNlndCgKJaorGXtVPGL1RfRaGqE1lsrB0VEZD8McKwgCIJNZSJnMnLkSHzyySeIi4uDt3fr/9xlZWU4efIkNm7ciFtvvRUA8O2333bpXjk5Oa2+lrJFBw8eRFNTE9asWQOVypw43L59u1XX9fHxgdFo7NKYyD4GNWdwzpfVoL7RCF9129O/9XWNqJLWwPHQAKeXv/kXh84yOFJ56gbdDVAJTKYT2Rv/Vbm5xx9/HOXl5bj33ntx4MABnD17Fjt37sRDDz0Eo9GIkJAQhIWF4Z133sGPP/6Ir776CkuXLu3Svfbs2YPVq1fj1KlT+POf/4yPP/4YTz31FACgf//+aGpqwhtvvIGzZ8/ib3/7G95++22rrhsXF4ejR48iPz8fpaWlFhkf6hmRgRoE+XrDJAJnS2raPU7qvwn194Gfj2f+/iRlcDoLcKQGY5aniByDAY6bi4mJwZ49e2A0GjFp0iQkJibiqaeegk6ng0qlgkqlwkcffYRDhw4hMTERS5YswWuvvdale/3mN7/BoUOHkJSUhOXLl2PNmjWYNGkSAGDEiBFYu3YtVq1ahcTERGzduhUrV6606rrp6elISEjA6NGjERERgT179nRpfNR1giDIWZzTxe334Xh6eQpo6cEpqi1Ck6n9dYOkDM6A4AE9Mi4iT+OZv2K5qfbWhxk4cCD++c9/tnveHXfcgRMnTlg8d+309Li4OKumqwcFBeHvf/97u68vWbIES5YssXguLS1N/vP8+fMxf/78VudFRERg586dnd6fHGtgVCAOXqjAqQ4ajaU9qDw5wAnXhkOtUqPR1Iji2uJ2+2ukAIcZHCLHYAaHiKwiNRqf6qDR2NNnUAGWa+G012jcaGrE+arzAJjBIXIUBjhEZJUEqUTVQQZHKlH19sBVjK/VWaPxxaqLaDI1wc/bTz6WiOyLJSqyi/Pnzys9BHIwaS2cC+W1qGswtrmR5k8evsifpLNG49OVpwGYszdcFoHIMZjBISKrhAf4IMRPDVEEzpS0XaZiicqssxIV+2+IHI8BDhFZRRAEOYvTVqNxdX0j9HXmKfyeugaORApwCmoK2nydAQ6R4zHAISKrddRoLM2gCvFTI0Dj2dXvzlYzltbAYYMxkeMwwCEiqw3qoNH4p3JzgOPp2Rugpcm4qKb1WjgNxgZcrDLv88YMDpHjODTAqaioQFpaGnQ6HXQ6HdLS0lBZWdnhOaIoIiMjAzExMdBqtUhNTcXx48fl18+fPw9BENp8fPzxx458O0Qeb2Bkc4mqjcX+5EX+gj27/wYAIrQR8FZ5o0lsQklticVr56vOwygaEaAOQJRflEIjJHJ/Dg1w5s6di7y8PGRlZSErKwt5eXkWC7u1ZfXq1Vi7di02bNiA3NxcREdHY8KECaiuNn9DjY2NRUFBgcXj5Zdfhr+/P375y1868u0QeTypRHWpvA61DZaZCc6gauGl8pKzONeXqa7tv+EMKiLHcViAc/LkSWRlZeHdd99FSkoKUlJSsGnTJnz++efIz89v8xxRFLF+/Xq88MILmDVrFhITE7FlyxbU1tZi27ZtAAAvLy9ER0dbPDIzM/GrX/0KAQEBjno7LiE1NRWLFy9WehgAzKsfr1+/XulhkJ2FBWgQHuADAPix2LIPhwGOJanR+EqN5VRx9t8Q9QyHBTj79u2DTqdDcnKy/NzNN98MnU6HvXv3tnnOuXPnUFhYiIkTJ8rPaTQajB8/vt1zDh06hLy8PDz88MPtjsVgMKCqqsri4Y7++c9/Yvny5UoPAwCQm5uLRx99VOlhKEIQBHz66adKD8Nh5DLVNY3GoijibKn5a0+fIi6RGo3P689bPM89qIh6hsMCnMLCQkRGRrZ6PjIyEoWFhe2eAwBRUZZ16aioqHbPee+99zBkyBCMHTu23bGsXLlS7gPS6XSIjY219m24lNDQUAQGBio9DADm/aP8/Bz7g66hocGh17eVs43HUVpmUrX04Xx+tACniq7Cx1uFoX10Sg3NqYyIGAEA+OiHjyz6cLiLOFHPsDnAycjIaLfJV3ocPHgQANqsL4ui2Gnd+frX2zunrq4O27Zt6zB7AwDLli2DXq+XH5cuXersbbqk60tUcXFx+P3vf4958+YhICAA/fr1w2effYaSkhLMmDEDAQEBGDp0qPzfCwDKyspw7733ok+fPvDz88PQoUPx4YcfWtynuroa9913H/z9/dGrVy+sW7euzXtfW6ISBAHvvvsu7rrrLvj5+WHgwIHYsWOH/LrRaMTDDz+M+Ph4aLVaJCQk4I9//KPFfefPn4+ZM2di5cqViImJwaBBg/DKK69g6NChrT6LUaNG4cUXX2zzc/rmm28gCAL+9a9/Yfjw4fD19UVycjK+//57mz6H1NRULFq0CEuXLkV4eDgmTJiAuLg4AMBdd90FQRDkr93J9Wvh6Osa8fL/mTdrXXT7AEQF+So2Nmcyvf90JIYlorqxGqtzVwMADEYDLlWbv/8wg0PkWDYHOIsWLcLJkyc7fCQmJiI6OhpFRUWtzi8pKWmVoZFER0cDQKtsTXFxcZvn/OMf/0BtbS3mzZvX4Zg1Gg2CgoIsHrYQRRGm2lpFHtbs4t2RdevWYdy4cThy5AjuvPNOpKWlYd68ebj//vtx+PBhDBgwAPPmzZPvU19fj1GjRuHzzz/HsWPH8OijjyItLQ379++Xr7l06VLs2bMHO3bsQHZ2Nnbv3o3Dhw93OpaXX34Zs2fPxtGjRzFlyhTcd999KC8vBwCYTCb06dMH27dvx4kTJ/Diiy/i+eefx/bt2y2u8eWXX+LkyZPIzs7G559/joceeggnTpxAbm6ufMzRo0dx5MiRNncmv9bTTz+N119/Hbm5uYiMjMT06dPR2Nho9ecAAFu2bIG3tzf27NmDjRs3yuPYvHkzCgoKLMblLlqmiptLUquyfkDpVQP6R/hjwfgblByaU/FSeeGlsS/BS/BC1vks7P5pN87pz8EkmhDkE4RwbbjSQyRyazavxhUeHo7w8M7/YaakpECv1+PAgQMYM2YMAGD//v3Q6/XtlpPi4+MRHR2N7OxsJCUlATCn/Xft2oVVq1a1Ov69997D9OnTERERYevbsIlYV4f8kaMceo/2JBw+BKEbpZ4pU6ZgwYIFAIAXX3wRb731Fm666Sbcc889AIBnn30WKSkpKCoqQnR0NHr37o3f/va38vlPPPEEsrKy8PHHHyM5ORnV1dXYsmULtm3bhl/84hcAzD/MY2JiOh3L/Pnzce+99wIAVqxYgTfeeAMHDhzA5MmToVar8fLLL8vHxsfHY+/evdi+fTtmz54tP+/v7493330XPj4+8nOTJk3C5s2bcdNNN8njGT9+PG64oeMfti+99BImTJgAwByo9OnTB5mZmZg9e3ann4NkwIABWL16datrBwcHywG7u5FKVJcr67DrVAm27Tev6bLirqHQeLfen8qTDQ4djPuH3I8tJ7bg9zm/R/qwdADcg4qoJzisB2fIkCGYPHky0tPTkZOTg5ycHKSnp2Pq1KlISEiQjxs8eDAyMzMBmMsYixcvxooVK5CZmYljx45h/vz58PPzw9y5cy2u/+OPP+K///0vHnnkEUe9BbcwbNgw+c9SFuzako70XHFxMQBzqejVV1/FsGHDEBYWhoCAAOzcuRMXL5p/iJ09exaNjY1y0AoAOp3O4r+pNWPx9/dHYGCgfF8AePvttzF69GhEREQgICAAmzZtku8rGTp0qEVwAwDp6en48MMPUV9fj8bGRmzduhUPPfRQp+NJSUmR/xwaGoqEhAScPHnSqs9BMnr06E7v426C/XwQEagBADz54REAwD2j+iD5hjAlh+W0Fo5YiGj/aFypuYJ1h9YBYP8NUU9w6HrqW7duxZNPPinPipo+fTo2bNhgcUx+fj70er389TPPPIO6ujosXLgQFRUVSE5Oxs6dO1s1z/7lL39B7969LWZcOYqg1SLh8CGH36e9e3eHWq1uuVbzb4xtPWcymQAAa9aswbp167B+/XoMHToU/v7+WLx4sdxAK5Wy2uqTsmUs0jWk+27fvh1LlizBmjVrkJKSgsDAQLz22mutSkL+/v6trjtt2jRoNBpkZmZCo9HAYDDg7rvv7nQ8bZHeV2efQ0fj8QSDogJQUm2Avq4Rof4+eH7KEKWH5LT81H54IfkFPPHVE6hqMM/gZIBD5HgODXBCQ0PxwQcfdHjM9T8YBUFARkYGMjIyOjxvxYoVWLFiRXeHaBVBELpVJnIlu3fvxowZM3D//fcDMAc+p0+fxpAh5h9g/fv3h1qtxoEDB+TZaFVVVTh9+jTGjx/frfuOHTsWCxculJ87c+aMVed6e3vjgQcewObNm6HRaDBnzhyrZnDl5OSgb9++AMyrbp86dQqDBw+Wx9PR59ARtVoNo9Fo1dhd1aCoQOz5sQwA8MKUIQjx9+nkDM+WGpuKO/regf938f8BAAYGD1R4RETuj3tRkYUBAwYgOzsbe/fuxcmTJ7FgwQKLpu/AwEA88MADePrpp/H111/j+PHjeOihh6BSqbrVUzBgwAAcPHgQX3zxBU6dOoXf/e53NjXoPvLII/jqq6/wn//8x6ryFAC88sor+PLLL+VSaHh4OGbOnCmPp6PPoSNxcXH48ssvUVhYiIqKCqvfgysZ3S8UADBuQBhmjeyt8Ghcw3NjnkOgOhBaby0SQjsv6RJR9zDAIQu/+93vMHLkSEyaNAmpqamIjo6Wf+hL1q5di5SUFEydOhV33HEHxo0bhyFDhsDXt+vTgx977DHMmjULv/rVr5CcnIyysjKLbE5nBg4ciLFjxyIhIcGiCbgjf/jDH/DUU09h1KhRKCgowI4dO+T+Hms+h/asWbMG2dnZiI2NlZvl3c2UodHYlp6Md+fdxGZZK0X5R2H7tO348M4PodNwrSAiRxPE7s5DdkFVVVXQ6XTQ6/WtpozX19fj3LlziI+P79YPbE9SU1OD3r17Y82aNZ2uSeQooihi8ODBWLBgAZYuXdrhsd988w1uv/12VFRUIDg4uGcGeB3+PSMisl1HP7+v59AeHHJPR44cwQ8//IAxY8ZAr9fjlVdeAQDMmDFDkfEUFxfjb3/7Gy5fvowHH3xQkTEQEZFzYYBDXfL6668jPz8fPj4+GDVqFHbv3m3V+kiOEBUVhfDwcLzzzjsICQlRZAxERORcGOCQzZKSknDokDLT5ttia5U1NTW12ytEExGRc2OTMREREbkdBjjt4G/45Ej8+0VE5FgMcK4jrbZbW1ur8EjInUl/v65f3ZmIiOyDPTjX8fLyQnBwsLxHkp+fH9f5ILsRRRG1tbUoLi5GcHAwvLy4OSURkSMwwGmDtAv0tRtBEtmTO+82TkTkDBjgtEEQBPTq1QuRkZFobGxUejjkZtRqNTM3REQOxgCnA15eXvxBRERE5ILYZExERERuhwEOERERuR0GOEREROR2PLIHR1pkraqqSuGREBERkbWkn9vWLJbqkQFOdXU1ACA2NlbhkRAREZGtqqurodPpOjxGED1wzXiTyYQrV64gMDCww0X8qqqqEBsbi0uXLiEoKKgHR+j6+Nl1Dz+/ruNn1z38/LqOn133WPP5iaKI6upqxMTEQKXquMvGIzM4KpUKffr0sfr4oKAg/mXtIn523cPPr+v42XUPP7+u42fXPZ19fp1lbiRsMiYiIiK3wwCHiIiI3A4DnA5oNBq89NJL0Gg0Sg/F5fCz6x5+fl3Hz657+Pl1HT+77rH35+eRTcZERETk3pjBISIiIrfDAIeIiIjcDgMcIiIicjsMcIiIiMjtMMCx0vTp09G3b1/4+vqiV69eSEtLw5UrV5Qelks4f/48Hn74YcTHx0Or1aJ///546aWX0NDQoPTQXMKrr76KsWPHws/PD8HBwUoPx+m9+eabiI+Ph6+vL0aNGoXdu3crPSSX8N///hfTpk1DTEwMBEHAp59+qvSQXMbKlStx0003ITAwEJGRkZg5cyby8/OVHpbLeOuttzBs2DB5gb+UlBT85z//6fZ1GeBY6fbbb8f27duRn5+PTz75BGfOnMH//M//KD0sl/DDDz/AZDJh48aNOH78ONatW4e3334bzz//vNJDcwkNDQ2455578Otf/1rpoTi9v//971i8eDFeeOEFHDlyBLfeeit++ctf4uLFi0oPzenV1NRg+PDh2LBhg9JDcTm7du3C448/jpycHGRnZ6OpqQkTJ05ETU2N0kNzCX369MEf/vAHHDx4EAcPHsTPf/5zzJgxA8ePH+/WdTlNvIt27NiBmTNnwmAwQK1WKz0cl/Paa6/hrbfewtmzZ5Ueist4//33sXjxYlRWVio9FKeVnJyMkSNH4q233pKfGzJkCGbOnImVK1cqODLXIggCMjMzMXPmTKWH4pJKSkoQGRmJXbt24bbbblN6OC4pNDQUr732Gh5++OEuX4MZnC4oLy/H1q1bMXbsWAY3XaTX6xEaGqr0MMiNNDQ04NChQ5g4caLF8xMnTsTevXsVGhV5Ir1eDwD8HtcFRqMRH330EWpqapCSktKtazHAscGzzz4Lf39/hIWF4eLFi/jss8+UHpJLOnPmDN544w089thjSg+F3EhpaSmMRiOioqIsno+KikJhYaFCoyJPI4oili5diltuuQWJiYlKD8dlfP/99wgICIBGo8Fjjz2GzMxM3Hjjjd26pkcHOBkZGRAEocPHwYMH5eOffvppHDlyBDt37oSXlxfmzZsHT67w2fr5AcCVK1cwefJk3HPPPXjkkUcUGrnyuvLZkXUEQbD4WhTFVs8ROcqiRYtw9OhRfPjhh0oPxaUkJCQgLy8POTk5+PWvf40HHngAJ06c6NY1ve00Npe0aNEizJkzp8Nj4uLi5D+Hh4cjPDwcgwYNwpAhQxAbG4ucnJxup9Fcla2f35UrV3D77bcjJSUF77zzjoNH59xs/eyoc+Hh4fDy8mqVrSkuLm6V1SFyhCeeeAI7duzAf//7X/Tp00fp4bgUHx8fDBgwAAAwevRo5Obm4o9//CM2btzY5Wt6dIAjBSxdIWVuDAaDPYfkUmz5/C5fvozbb78do0aNwubNm6FSeXTysFt/96htPj4+GDVqFLKzs3HXXXfJz2dnZ2PGjBkKjozcnSiKeOKJJ5CZmYlvvvkG8fHxSg/J5Ymi2O2frx4d4FjrwIEDOHDgAG655RaEhITg7NmzePHFF9G/f3+Pzd7Y4sqVK0hNTUXfvn3x+uuvo6SkRH4tOjpawZG5hosXL6K8vBwXL16E0WhEXl4eAGDAgAEICAhQdnBOZunSpUhLS8Po0aPlTOHFixfZ72WFq1ev4scff5S/PnfuHPLy8hAaGoq+ffsqODLn9/jjj2Pbtm347LPPEBgYKGcRdTodtFqtwqNzfs8//zx++ctfIjY2FtXV1fjoo4/wzTffICsrq3sXFqlTR48eFW+//XYxNDRU1Gg0YlxcnPjYY4+JP/30k9JDcwmbN28WAbT5oM498MADbX52X3/9tdJDc0p//vOfxX79+ok+Pj7iyJEjxV27dik9JJfw9ddft/n37IEHHlB6aE6vve9vmzdvVnpoLuGhhx6S/81GRESIv/jFL8SdO3d2+7pcB4eIiIjcjmc3QhAREZFbYoBDREREbocBDhEREbkdBjhERETkdhjgEBERkdthgENERERuhwEOERERuR0GOERERNSu//73v5g2bRpiYmIgCAI+/fRTh9/z8uXLuP/++xEWFgY/Pz+MGDEChw4dsukaDHCIiIioXTU1NRg+fDg2bNjQI/erqKjAuHHjoFar8Z///AcnTpzAmjVrEBwcbNN1uJIxERERWUUQBGRmZmLmzJnycw0NDfjf//1fbN26FZWVlUhMTMSqVauQmprapXs899xz2LNnD3bv3t2tsTKDQ0RERF324IMPYs+ePfjoo49w9OhR3HPPPZg8eTJOnz7dpevt2LEDo0ePxj333IPIyEgkJSVh06ZNNl+HGRwiIiKyyvUZnDNnzmDgwIH46aefEBMTIx93xx13YMyYMVixYoXN9/D19QUALF26FPfccw8OHDiAxYsXY+PGjZg3b57V1/G2+c5EREREAA4fPgxRFDFo0CCL5w0GA8LCwgAA58+fR3x8fIfXefzxx+UeH5PJhNGjR8vBUVJSEo4fP4633nqLAQ4RERE5nslkgpeXFw4dOgQvLy+L1wICAgAAvXv3xsmTJzu8TkhIiPznXr164cYbb7R4fciQIfjkk09sGhsDHCIiIuqSpKQkGI1GFBcX49Zbb23zGLVajcGDB1t9zXHjxiE/P9/iuVOnTqFfv342jY0BDhEREbXr6tWr+PHHH+Wvz507h7y8PISGhmLQoEG47777MG/ePKxZswZJSUkoLS3FV199haFDh2LKlCk232/JkiUYO3YsVqxYgdmzZ+PAgQN455138M4779h0HTYZExERUbu++eYb3H777a2ef+CBB/D++++jsbERv//97/HXv/4Vly9fRlhYGFJSUvDyyy9j6NChXbrn559/jmXLluH06dOIj4/H0qVLkZ6ebtM1GOAQERGR2+E6OEREROR2GOAQERGR22GAQ0RERG6HAQ4RERG5HQY4RERE5HYY4BAREZHbYYBDREREbocBDhEREbkdBjhERETkdhjgEBERkdthgENERERuhwEOERERuZ3/D6C37ie5TnV2AAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"plt.plot(res[\"x\"],(GS_left[:,int(res[\"size\"][1]/2),int(res[\"size\"][2]/2)]).real, label=\"real part\")\n",
"plt.plot(res[\"x\"],(GS_left[:,int(res[\"size\"][1]/2),int(res[\"size\"][2]/2)]).imag, label=\"imaginary part\")\n",
"#plt.plot(x,pot[:,int(len(y)/2),int(len(z)/2)], label=\"potential (rescaled)\")\n",
"plt.legend()\n",
"\n",
"plt.plot(res[\"x\"],(GS_right[:,int(res[\"size\"][1]/2),int(res[\"size\"][2]/2)]).real, label=\"real part\")\n",
"plt.plot(res[\"x\"],(GS_right[:,int(res[\"size\"][1]/2),int(res[\"size\"][2]/2)]).imag, label=\"imaginary part\")\n",
"#plt.plot(x,pot[:,int(len(y)/2),int(len(z)/2)], label=\"potential (rescaled)\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 666.667x500 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_states = 2\n",
"\n",
"states_plot = [GS_left.real, GS_right.real]\n",
"#states_plot = np.angle(states)\n",
"#states_plot = states.imag\n",
"#states_plot = np.abs(states)**2\n",
"\n",
"# Create a 1xn_states grid of subplots (1 row, n_states columns)\n",
"fig, axes = plt.subplots(1, n_states, figsize=(20/6*n_states, 5)) # Adjust the size as needed\n",
"\n",
"# Loop over the state numbers from 0 to n_states-1\n",
"for state_number, ax in zip(range(n_states), axes):\n",
" # Slice through the y-direction and rotate the x-z plane (by swapping x and z)\n",
" im = ax.imshow(states_plot[state_number][:, int(res[\"size\"][1]/2), :].T,\n",
" extent=[*res[\"extend\"][0], *res[\"extend\"][2]], origin=\"lower\",\n",
" vmin=np.min(states_plot[state_number]), vmax=np.max(states_plot[state_number]))\n",
"\n",
" # Set labels for each subplot\n",
" ax.set_xlabel(\"x\")\n",
" ax.set_ylabel(\"z\")\n",
" ax.set_title(f\"State {state_number}\")\n",
" fig.colorbar(im, ax=ax) \n",
"\n",
"# Adjust layout for better spacing\n",
"plt.tight_layout()\n",
"\n",
"# Show the plots\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
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"display_name": "base",
"language": "python",
"name": "python3"
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"codemirror_mode": {
"name": "ipython",
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