{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"[Open this tutorial in Google Colab](https://colab.research.google.com/github/konkolyseismolab/seismolab/blob/master/docs/source/OC_calculator.ipynb)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Light curve minima fitter and O-C calculator\n",
"\n",
"This module is for calculating the O-C (Observed – Calculated) diagram of variable stars (see e.g. [Sterken, 2005, ASPC, 335, 3](https://ui.adsabs.harvard.edu/abs/2005ASPC..335....3S/abstract)). The Observed values are calculated by fitting each minimum of a light curve with a pre-defined function. The Calculated values are given by:\n",
"\n",
"$$ C = T_0 + E P ,$$\n",
"\n",
"where $T_0$ is the zero epoch, $E$ is the cycle number and $P$ is the period.\n",
"\n",
"## Choosing the function:\n",
"\n",
"Three kind of functions are available:\n",
"\n",
"- `polynomial`: this is an _n_th order polynomial. The order _n_ is fixed and set by the user. In this case all minima are fitted individually.\n",
"\n",
"- `nonparametric`: this is a nonparametric kernel regression, which is able to fit a minimum with any shape. The smoothnes of the curve is set by the user, however, the default value is usually adequate. In this case all minima are fitted individually.\n",
"__Note:__ Very sensitive to outliers!\n",
"\n",
"- `model`: in this case a model is obtained from fitting the median of the phase-folded and vertically shifted light curve. The shifting is done cycle by cycle. The model is developed by nonparametric kernel regression, then shifted and fitted to each minimum while keeping its shape. The smoothness of the model is set by the user, however, the default value is usually adequate:\n",
" - Use ~1 to follow small scale (noise-like) variations\n",
" - Use >1 (e.g. 1.5) to fit a really smooth function\n",
"\n",
"## Estimating errors:\n",
"\n",
"The errors of the minimum times are estimated with brute force, i.e. resampling the light curves _n_ times using known observational errors.\n",
"\n",
"## Important notes:\n",
"\n",
"- If the shape of the minimum of a variable stars varies a lot by time, then it is suggested to fit each minimum individually. Choose a `polynomial` or `nonparametric` model.\n",
"\n",
"- If the shape of the minimum is quasi-constant, then it is suggested to use the default `model` method.\n",
"\n",
"- As only the minima can be fitted, use a magnitude-like (i.e. reversed) scale __to fit the observed maxima__, use a flux-like scale __to fit the observed minima__.\n",
"\n",
"- Always check the fit at first run by setting `showfirst` to `True`. Set the `order` of polynomial or the `smoothness` of the nonparametric model carefully.\n",
" \n",
"- The `phase_interval` is the phase interval, which is selected around an expected minimum to fit the selected function. If the sampling is sparse, set a large value (e.g. 0.2-0.4) to contain sufficient number of points around each minima to perform a robust fit.\n",
"\n",
"- The minimum times are calculated (C) using the given period and `epoch`. If `epoch` is not given, then the time stamp of the first minimum is used."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## __How to use__"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from seismolab.OC import OCFitter\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We load as an example the light curve of T Men from TESS Sector 1. We assume that the pulsation period is known beforehand. If not, it can calculated with the `seismolab.fourier` module."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"lc = pd.read_csv(\"https://mast.stsci.edu/api/v0.1/Download/file/?uri=mast:HLSP/qlp/s0001/0000/0000/4041/2372/hlsp_qlp_tess_ffi_s0001-0000000040412372_tess_v01_llc.txt\")\n",
"\n",
"# Store results in separate arrays for clarity\n",
"time = lc.iloc[:,0]\n",
"brightness = lc.iloc[:,1]\n",
"brightness_error = np.ones_like(time)*0.01\n",
"\n",
"period = 0.409837"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(time, brightness)\n",
"plt.xlabel(\"TBJD\")\n",
"plt.ylabel(\"Normalized flux\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We assume that we want to fit each maxima, thus we have to revert the flux values as `OCFitter` only fits the minimum times."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"brightness = -brightness + 2*np.mean(brightness)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Performing minima fitting\n",
"\n",
"We initialize the `OCFitter` by passing the light curve and the period. Passing the measurement errors is mandatory!"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"fitter = OCFitter(time, brightness, brightness_error, period)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Minima fitting is done by calling `fit_minima`."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Calculating minima times...\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Fitting cycles: 0%| | 0/57 [00:00, ?it/s]"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Fitting cycles: 65%|████████████████████ | 37/57 [00:56<00:30, 1.52s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Done!\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n"
]
}
],
"source": [
"mintimes,mintimes_err = fitter.fit_minima(showfirst=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The results and its errors are stored in two arrays; `mintimes` and `mintimes_err`.\n",
"\n",
"The `showfirst` option generated us someuseful plots that show:\n",
"\n",
"- the phase folded light curve (blue), where each cycle has been vertically shifted to match each other and binned to roughly estimate the epoch, i.e. the minimum time of the first cycle (red vertical line).\n",
"- the first cycle (black dots), which is fitted by a smooth model (blue) to estimate the epoch more precisely.\n",
"- the phase folded, vertically shifted and binned light curve (same as the first plot), which is fitted by a smooth curve. By default, the `fittype` is `'model'`, for which the model is this fitted smooth curve (now: model). The curve is shifted to and fitted to each minimum to determine the minimum times.\n",
"- a part of the first cycle (black dots) with the model curve (red) that has been shifted and fitted to this cycle. This plot can be used to check if\n",
" - the choosen `fittype` fits the minimum well. If not, then change the model type or its parameters.\n",
" - the `phase_interval`, which is 0.1 by default, is large enough to have sufficient number of points to perform the fit and small enough to fit only near the minimum. This plot only shows the set `phase_interval`."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Calculating the O-C diagram\n",
"\n",
"The O-C diagram is calculated by passing the minimum times, and the period. Optionally, the error of the minimum times can also be passed."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Calculating O-C...\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"midtimes, OC, OC_err = fitter.calculate_OC(showplot=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The results and its errors are stored in three arrays:\n",
"\n",
"- `midtimes` is the passed minimum times,\n",
"- `OC` and `OC_err` are the calculated O-C values and the uncertainties."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"All available options of `fit_minima` are described below:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Calculating minima times...\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Fitting cycles: 65%|████████████████████ | 37/57 [00:53<00:28, 1.44s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Done!\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n"
]
}
],
"source": [
"mintimes,mintimes_err = fitter.fit_minima(\n",
" fittype='model', # The type of the fitted function: `poly`, `nonparametric` of `model`.\n",
" \n",
" phase_interval=0.1, # The phase interval around an expected minimum,\n",
" # which is used to fit the selected function.\n",
" order=3, # Order of the polynomial to be fitted to each minimum.\n",
" # Applies only if `fittype` is `poly`.\n",
" smoothness=1, # The smoothness of fitted nonparametric function.\n",
" # Use ~1, to follow small scale (noise-like) variations.\n",
" # Use >1 to fit a really smooth function.\n",
" # Applies only if `fittype` is `nonparametric` or `model`.\n",
" \n",
" epoch='auto', # The time stamp of the first minimium.\n",
" \n",
" npools=-1, # Number of cores during error estimation.\n",
" samplings=100, # Number of resamplings for error estimation.\n",
" \n",
" showplot=False, # Show each fitted minima and other useful plots.\n",
" saveplot=False, # Save all plots.\n",
" showfirst=False, # Show plots used to check parameters of the fitted function.\n",
" filename='' # Filename without extension to save plots.\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"All available options of `calculate_OC` are described below:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Calculating O-C...\n"
]
}
],
"source": [
"midtimes, OC, OC_err = fitter.calculate_OC(\n",
" min_times=None, # Observed (O) times of minima; otherwise use from the `fitter`\n",
" period=None, # Period to be used to construct calculated (C) values; otherwise use from the `fitter`\n",
" epoch=None, # Epoch to be used to construct calculated (C) values; otherwise use from the `fitter`\n",
" min_times_err=None, # Error of observed (O) times of minima; otherwise use from the `fitter`\n",
" \n",
" showplot=False, # Show results\n",
" saveplot=False, # Save results\n",
" saveOC=False, # Save constructed OC as txt file\n",
" filename='' # Filename without extension\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Choosing the model to be fitted\n",
"\n",
"The `poly` model requires to fine tune the polynomial order and the phase interval to be fitted around each expected minimum. As this light curve is sparsly sampled, we can increase the phase interval to e.g. 0.3. To do not overfit the minima, we keep the order as low as 3."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Calculating minima times...\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Fitting cycles: 0%| | 0/57 [00:00, ?it/s]"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Fitting cycles: 95%|█████████████████████████████▎ | 54/57 [00:05<00:00, 10.10it/s]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Done!\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n"
]
}
],
"source": [
"mintimes,mintimes_err = fitter.fit_minima(fittype='poly',\n",
" phase_interval=0.3,\n",
" order=3,\n",
"\n",
" showfirst=True)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Calculating O-C...\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"midtimes, OC, OC_err = fitter.calculate_OC(showplot=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `nonparametric` model requires to fine tune the smoothness and the phase interval to be fitted around each expected minimum. As this light curve is sparsly sampled, we can increse the phase interval to e.g. 0.3. To do not overfit the minima, we keep the smoothness at its default value of 1."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Calculating minima times...\n"
]
},
{
"data": {
"image/png": 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7qaqqokePHixatAiAadOmsWrVKtauXUtxcTG/+93vTvq5dCY6xSwHRL/QwbBFns/D/FvLKetfkO5iKaVSpGLrQYJhC8tAKGxRsfVgyr/zV155JWeccUaT2999913+4R/+AYBhw4YxYsSIpPc/77zzGDlyJABlZWVs374dgHXr1vGTn/yEQ4cO8dlnn/HFL34xJeXPVVoTzwHJvtCJtKauVO4oH9iTPJ8Hr4Df56F8YM+TPubQoUOb1KI//fRTduzYgc/n49RTTz2p43fp0iV22ev1Eg6HAbjlllv4zW9+w4cffsi9996rCW+OkwbxHOD+Qnu9HnYdOhIXrFPR9KaUSp+y/gXMv7Wc7141uN1a3q644goaGhp48sknAYhEIvzzP/8zt9xyC926dWv2fhdffDHPPvssAOvXr+fDDz88rsetr6/nnHPOIRQKMX/+/BN/Ap2UBvEcEP1Cf21MIRjD0yt3xAVrd0092ExNXSmVXcr6F3D3xAvarRldRHjhhRd47rnnGDRoEEVFRXTt2pUHH3ywxfvdddddfPzxxwwdOpSf/OQnlJSU0L179zY/7n333cfYsWO5+OKLGTJkyMk+jU5HjDHpLsNxGTVqlNH1xG2VNXVUbD1IQbc86hqCrNl5iNfW78Ngn51dPKgX/zipiL9W7WXlsr9Q7qmmwirG238sP5pcrP3mrdH1xFUHqa6upri4ON3FOCGRSIRQKETXrl356KOPmDRpEhs3biQvLy/dRctayT4PIlJpjBmVuK8ObMtS0SbyYyGLZKdhFrBs8wHe23KAi9jE/LwH8RMmhI+ZNbO48dFDLLxtnAZypdRJaWhoYOLEiYRCIYwxPPzwwxrAO5AG8SxVsfVgswHczTIw1luNnzA+scCEKfdUE4gUsThQS1n/gliNvnxgTw3qSqnjkp+fj7aOpo8G8QyULKgm3lZ/JBQXwEtlU6y5PGCK4o5XYRUTwgfGrolXWHYzzTOrdlDSpztzl1bp9DSllMpCGsQzTLI530DcbbOnlLAl8AZ3edfGAvL8vAfxS5iQ8TEzOAsgLqjPyn+Acw+t5m+RxiAftuDXr2+K1eiPhaxY7VwppVTm0yCeYZqb8+0eXb5oySKe8j+I32fXrBdFxtvN5VhAmGneZUz3LmvsAw/O4oUDRcC5TR5v76fHYpcN8NzqnUwr7auBXCmlsoBOMcsw0TnfHrGnfBR0y6N8YE98HkEAY2CsNPZx+7ETJoTwETYeu9kc4raXe6qbPE6pbOIu7xJKZRPuhe8iltEpaEoplSU0iGeYsv4FzJ5SgkeEiGWYu7SKjXvrQQSDXVuO9nFHg/biyHhmBmfxX+EbmBmcxeLI+Ljt0Sb3qFKxR6t/1/cc8/MeZLRvC3lesZPFeITdCclilFK574EHHqCkpIQRI0YwcuRIVqxYATQuYpLopZde4qc//SkAH3/8MWPHjuWiiy5i2bJlPPzww8f9+KlaerS5486ZM4dzzz2XkSNHMmTIEO68804sywJg9uzZvPbaa+1eFrcnnniCe+6556SPk7LmdBF5HJgC7DfGDEuyfSpwHzhtwPCPxph3U1WeTNTcqPC6hiCWMbF+6l+/volhkQ2Uexv7uGcGZzUZyBaIFDFmgH2cmTXx270e8IoQihjKPfGj1e8asIe/9ryc/fXHeHvTxyxcuYNFgVod5KZUJ7F8+XKWLl1KIBCgS5cuHDhwIOk64m7XXnst1157LQCvv/46w4cPZ968eWzfvp0777yTu+66qyOKflL+6Z/+ie9973tYlsWll17K22+/zcSJE5k7d266i9ZmqayJPwFc3cL214ELjTEjgW8B81JYlozTXCrUypo6dh86gsdjN3IboE/9h3E151LZRMAUsXv4nayVwXHHHXR2Ps/e8QV+fMctnDrpB1z/lel8/4uDefb2LzDn2mGINK3J/8/Ws6le+RpFmx5lWGSD3fce0sxuSmW0nSth2S/s/0/Snj176NWrVyy/ea9evejTp09s+//8z/9QWlrK8OHD2bBhA9BYk1yzZg0/+MEPWLJkCSNHjuSHP/whH330ESNHjuT73/8+AP/5n//J6NGjGTFiBPfee2/suA888ABFRUVccsklbNy4MWnZXn755Vgtf9KkSezbtw+wa9Lf+ta3mDBhAgMHDuTXv/71cR3XLRgMcvToUQoK7ErLLbfcElsvfcCAAdx7771Nnn9Lj//UU08xZswYRo4cye23304kEgHg97//PUVFRYwZM4b33nuv1XK1Rcpq4saYd0RkQAvbP3NdPRVanfKcU5obwHbjYxWEwhYXyaZYzTux5hyd5/3nD/fw7UvO47F3txGxDHk+D9NK+wJ2s3xiLXpxoBbLQID4mjwQSwZzj9ceCBcwRRR004QNSmWknSvhD9dCJAjePPjGS9BvzAkf7qqrrmLu3LkUFRUxadIkZsyYwWWXXRbb3qtXLwKBAA8//DA///nPmTevsc41cuRI5s6dy+rVq/nNb37D9u3bqaqqYs2aNQC8+uqrbN68mZUrV2KM4dprr+Wdd97h1FNP5emnn2bNmjWEw2FKS0ubLIUKcMkll1BRUYGIMG/ePP7jP/6DX/ziFwBs2LCBN998k/r6egYPHsydd97JBx980KbjAvzyl7/kqaeeoqamhsmTJ8dWWUvU3PNP9vhbtmzhmWee4b333sPv93PXXXcxf/58rrzySu69914qKyvp3r07EydO5KKLLjqRtytOWkeni8h1wL8DZwFfamG/24DbAAoLCzumcClUWVPH2p2HELD/nAFsiwO1BMNWrM86Orr830I3J53nHYoY8k/x8+zt41qdVw7xZ0kBU8T2riV88nmIu7xLkp4kVO0+3LEvjFKqbbYvswO4idj/b192UkH8tNNOo7KykmXLlvHmm28yY8YMfvrTn3LLLbcA9prfYC8hunjx4uM69quvvsqrr74aC1ifffYZmzdvpr6+nuuuuy62uEq0aT5RbW0tM2bMYM+ePQSDQc4777zYti996Ut06dKFLl26cNZZZ7Fv3z6WLVvWpuNCY3N6KBTi+uuv5+mnn+ZrX/tak/2ae/7JHv/111+nsrKS0aNHA3DkyBHOOussVqxYwYQJEzjzzDMBmDFjBps2bWrz69ictAZxY8wLwAsicil2//ikZvZ7FHgU7NzpHVfC9ldZU8eNj9lzvqPClmHOy1UUFpwC0KTmfYZ8lrQP3CNQ0C2vSa27ufXFp5f25fnVOwlFDF4P1B+1R7Y3lwwmq19opXLZgPF2DTxaEx8w/qQP6fV6mTBhAhMmTGD48OH84Q9/iAXxaDO7ewnRtjLG8C//8i/cfvvtcbf/6le/atP9v/Od7/Dd736Xa6+9lrfeeos5c+bEtjW3vOnx8vv9XH311bzzzjtJg3hzzz/Z4xtj+MY3vsG///u/xx3jxRdfPKGytSYjRqcbY94BBopIr3SXJdUqth4k5ArgUcGwxZaPP7f3SeizjgbuhyNTWUMRF5x1Gl6xU6rOXVrVZCR5c031Zf0LWHjbOL73xcHMGF1IxLLDdHSgXHR0e8AU4fPAdKdpXtciVyrD9BtjN6Ff/uOTbkoH2LhxI5s3b45dX7NmDf379z+hY+Xn51NfXx+7/sUvfpHHH3+czz6ze1B37drF/v37ufTSS3nxxRc5cuQI9fX1vPzyy0mPd/jwYc49185x8Yc//KHVx2/rcd2MMbz33nucf/75bXmKLbriiit4/vnn2b9/PwCffPIJNTU1jB07lrfffpuDBw8SCoV47rnnTvqxII01cRG5APjIGGNEpBToAuT8SKrygT3x+zz2aHNXzToxbWqymrcAeT4PY847g60ff4ahMUi7a+LRueahsIXf56F8YM/YtmitvbKmjkWBWkJhC6/Xw1qriEDEqeEDc6cOj+2XrFavlEqzfmNOOnhHffbZZ3znO9/h0KFD+Hw+LrjgAh599NETOlbPnj25+OKLGTZsGJMnT+Y///M/qa6uZty4cYDddP/UU09RWlrKjBkzuPDCCznrrLNizc+J5syZww033EBBQQGXX34527Zta/Hx23pcaOwTD4VCjBgxol1G1A8dOpT777+fq666Csuy8Pv9PPTQQ5SXlzNnzhzGjRtHjx49mu1/P14pW4pURBYCE4BewD7gXsAPYIx5RER+CHwdCAFHgO+3ZYpZNi9FGu2nzt8f4KvVd+MzjX3e9/r/GJdhLTH/uQA3ji2M1Y5nzquIBelkgbUti5osWLGDZ1bt4KzTuwLEljH1Cnz3qsHcPfECHnpzC794dSOWsZvv/9m5vVPQpUhVB8nmpUhV+8uIpUiNMTe2sv1nwM9S9fiZxr106J3e1/D5Gvu8J3tXNhlYdvSsMtbvaWySuv3SgfzomsY3df6t5S0G6WSj0xPLM+flKqdv/jA+r+D32glm3LX3gm55OK3uWAYdsa6UUhlEc6d3kEWB2thCI3EDycTHK5ExjPFsjA0sWyVDue8rw9m4t55X1u1h8rBzuGls/Kj81oJ0axL75iMRw4yxhfTpcUrciUFdQ9BO94rdzF7X0HICCKWUUh1Hg3gHqKyp4/nK2tho72R93puC/Sj3VLPWN4wfffvmWJBODN7tJdo3Hx0l7/dK0oVPCrrl4fUIlmXI88f3ryullEovDeIdINmI9IBpHEjmvn7HxQM7ZOBYWf8CFn67nMUB++RiepIAXllTx9ylVVjG4PEIt4wbEDfSXSnVfowxiEjrO6qcdrzj1DSIt4PWBpEVdMtr05zrSwf1iuv3TrXmmuSjz2fXoSOxqWoYw7x3t2EZo6PUlWpnXbt25eDBg/Ts2VMDeSdmjOHgwYN07dq1zffRIH6SWpqCFQ2Ga3YeajKF7MzT8uh+ij82Nxzg8JFQup5GjPv5+LwefB4h7Ixsi1im2WltSqkT17dvX2pra/n444/TXRSVZl27dqVv375t3l+D+ElKTKyyOFBLxdaDFHTLY+7SKo6F7Dzo7jSqM4OzCHxWxMUX9IoL4lW7D1NZU5fW4Oh+PsOtDVyT/xGv1J/PaqsxS1zi3HOl1Mnx+/1x6USVaisN4ifJnVjF4xEWrtiBhb1m97c81VRI8wuYHPw8yJVDz+av6+1VeYwh7TXc6PMpiWzgKf+D+I+Guclvn3isMfaJxz9OKtJauFJKZYCMSLuazcr6FzD/1nKuKD6bUMTEArh76dBPzGlN0qgCTB52Dndcdj5d/R68GVLDjT6fGWfWxE48/NgnHnl+jwZwpZTKIFoTbyevb9gfu9zSAiYrKSZy7mgeHF0Ymz7WWuKWjlbWv4CDxZcTWj4/Nnd9T8EoLjm6lfq/vg1fnNZu6R6VUkqdOA3i7aBi60EuNBtj638nWxUsOoXMA/xzSe+4+d8nm7ilvVXW1PH37/kpicxinKeahj7jqNl5yO7X3xkm9PvH8X9zqQZypZRKMw3ixyE62rygWx51DcHY//n7A00Grs0MzmJ6z+2szxtBYHfv2DFESHuTeWuig9sqTRFrTBH5B/zc5Fkea10IW6GTXr9YKaXUydMg3gz33G+AxYFanlm9k3Akfsa3AHf7XsPvjR+49ltrKsXnT2LdrsPA4dj+VxSfnVG17mTKB/bE4yx1KgIjzu1OxZbG1gXL42+X9YuVUkqdHA3iSSTOlcYYhlkbuc0Zbe5eYcwAf4sUc7c3vvnc4xGeW70zNscaIM8r3H7Zya9Xm2ob99YTTTAXtqCL38s7rlSxA0dfzfVaC1dKqbTTIJ5E4tzvZPO8gWbX/37fFDHinNP5cNfh2BKe2TQ165V1e+Ku7//0KF39HtaEivjADGbuOcPSVDKllFJuGsRJ3ted5ywOYpmmo82neZcx3busyfrf0VzoXf0eZowuZOO+qtia39kSwMGe+rZs84HY9Rmj7UF4s5eswzKGuUurGNw7P2uej1JK5apOH8TdTeeWsfu4u/g9zJ5Swivr9vDu5gNNRpsDSZO3gH3/2VNKuGlsIYN752fU1LG2io6cdy+D+tCbW7CMibVORJPStJY3Ximlck0m/e51+iDubjoHu487GLZ4ZtUOzjq9Kx4PBKz45nKA6d5lcX3gUULjmtuZNnXseNw0tjBuGpw7M100KU1LeeOVUioXtWW9jI4M7p0+iEeDkzuQWwa8u1YxaE81B00xAYqaLB3qDuoHC0birWvAGHJ2ze1oJjf3B/ShN7fEjR1Id8pYpZRKtcQxU9HlmRcHanlu9U5CEYMI3DZ+YIesStmpg3j0rGn2lBLqGoLUHwnx22VbuYgkC5a4RqRD4/rfN40t5MHrhmdU80qqJLYsJKudK6VULisf2BOf1/7d83o9FHTLY+a8CoaGN3CrawbTI+9spbDnqXEtmqnQaYN43DQyj3DDqH58XH8MY6Dcm3zBkkQ+D0wvtZeMy+am8xOVrHaulFLZrKUKWWVNHYsCtVgm2v9qWLf7MEPDG5JW/F5Zt0eDeKq4m0SCEUP1ytcY563mgCRPm5pIsEdtd/bA1RlPXpRS6dNerZ6Jx6msqYs1iYctk7S/e+a8Co6FLKLZPyKWQYBxzVT8Jg875+SfcCs6bRAvH9gTn0cIRkxs1TE/Ye7xNqZNjfZ59yoez4ODz6Jq92GeW72TiGXw+zxMK237wu25aMGKHXEj2JVSKpXaazBt4nFuGTeAee9ui0vOlTjOJ1rxi+5RKpv4gq+a8McXs7vHKEL1L8RV/L4ysk+H/C522iBe1r+ACYPP4tX1+5Ku9/1wZCqBSBF3XBo/OGFaaV9tPsYO4LNe+BAgNqdcA7lSqj00V9tONqgs2e9wsvu7b1sUqI3VqI+FLB5dthUrPqM24hF2HTpCZU0dG/fWs2HV69zhqYy1zMaaz3e9YFf8aKz4raGIK87OT9nr49ZpgzjAmfldAJptPvcA+af44+6jzce2xKxuHdH3o5TKPq01fydr1m6utt2WwbSJabOvL+vL6V18zHt3GxHL4PEIxphYjdrE/olnLMPTK3fw7KodjDBOa63PjhGLIuOTVvzWWkVEnHwjm/fVt9tr2JJOHcSnlfblucpaAuH4eeABU4SQu9PF2kNiVreO6PtRSmWX1pq/kwVcgaRTuKKBPnEwbeJJQNx4p7DFghU74soUSaxyAx6P2MtJOzFgLXYwBnvKceJgZyBpxe+0U3wcbghjgBfX7Kb36V1TPs2sUwfxsv4FLPy2/YHYvK8Pj6wtsud6++wP0/TSvlrrdnF/WZJldVNKKbfWmr8TA+7CFTvwCHidZRRFhM376vnlXzcRsQxd/PaJwN0TLwCSnyQUdMvDI9I4gtxRKpviKmrx2zYyv8u/47FChPBxc3gWq10zkhJbaxdHxrM4Mr7J8Q43hOOO+5eqvRrEU83dPH7zuAHa392MZF+WxKxuSinl1lzzt3u9ijyfJ9Y/bYCIActJmBK2DC+u2R07XjAUn1xl3a7DsfsGQxZzX66ies+nWMZQ5tnEWKlu2oftTAHbceowDnxmZ9ccQzVeE8Lr1LTHUI0ljYtcvU/T1log6dRjt6tLerfvC5pEpw/ibtrf3by2DihRSnVeiU3byXJJLFixg9lL1sVq1rOnlPDWxv28un5f7DgGMEn6qUVg7c5D/PK1TYywNnKxpxqvk1zFAtbWHgbsWvdT/sagnawPWxpghq+a5ZFillvFBI0vtv8n5rQmQb9n8XisXlez9t1tcYXzeoRvX3IeTyzfTihsgcCZp3XhKyPP1YxtKnO0dkatrRdK5b7mvu/ROdbPrNpBxAK/V1h427hYIHePEJ+9ZF1sKtexkMW63Yd5Z/PHTR4rsfnbI3Zwf3X9vrhpwcmyaibOOIL4PuxPzGmxIJ9sWnGyGUuPVBfxtkewLLuVYMjZ+ZT2L2Ca0+16ZUnvtPwWahBXbZLsjDpZ1rtpOo5AqZyUWIOODlKL/g4cDVmxfYMRw9yXq5j95ZK4wWdrdh6Km4ttgJXbPuFYyIoL2tC0+RtoMchiNW5vrQ+7pWnFAFhNB65FE4NFC755/2fcf93w2O9dulpyNYirNkv8kCZmvVuwYgeLArW6mplSOSZZDfpXr23iHycVxX4HEq2tPczMeRXMnlLCnJerku4DsGX/Z01q1onN39O8y5juXRbb/m+hm5vUrBODfot92EmCtFvAJO8DFxpno1mWyYhuRQ3i6oRFm9jdg1K0v1yp3FOx9WDcaG8DvLv5AKu2f8LsKSWxBUESu7FDzrLOwbDVpHncfb215m8gbvsZ8lmrzd8PR6ZSOHwC77sGxkUlC9JjBhTQxe/l3c0HMBC3cqVgdxF86+LzmPfuNizLZMwUZA3i6oS4V4Bbt/swz1fWEonoamZKZbtk/d7uJZvBnjsdzXb21sb9jGQjo7zrm0zfsgwcagg1qWn/W+hm7vX/sdmadbT5+8vdt/Kn+vOxLMN07zIwYYzXz+rIUAJmUKs1620HPmdI73yq9zYmXhkzoIA1Ow+xJmIH6WiAvuDsfIb16c6q7Z/E5Uf3ABcP6sU/TipKa993czSIq+MW7QMriWzgYt8Gvv7lG5heqquZKZXtkiVfiebLiI6JKeiWF2seN8DB6mU81cwgMwPUfNLAlxKSpUz2rmyxZh0dyFY8eBLT+nSnavdhnvi8N9d2/4j63uWsWRICGpvnm2v+jo5W9woMO7c7M0bb02LdU9yia2I8vXIHeT57tHziOhnRAA6ZN4tJg7g6bhVbD1IS2RAb3Rn58wtsu2YBd0+clO6iKaVOgjuneDTb2bOrdjJ36jBuGtu4auO63YdZuGIHBhjbyiCzgClqMtDslcgYxng2xtWc3c3XYNfiFzqBdf6t5UBfXtx6kN21RwhH7CxsHoHh53an5NzuDOsznLlLqwhaFk6umLhjXVXSO5bXwh2IH3pzC2HLxKbP1jUEeeC64VmzTkbKgriIPA5MAfYbY4Yl2T4T+CF2d0M9cKcxZm2qyqPaT0G3PMa5v7hWiD+//Byfn1WW0R92pTqT5pbaNJA0G+WCFTt4eqUdmOP6r60inn9xEX0+3EfvCyfx+mcDmHDKNs7wL+Vv4aYjwZMNMktWU94U7NdsBrWoaGD97dsf8Xr1PiIGfB7weT2x7rvZXy5h4956Xlm3h1vGDSD/FH9cawHYzeXNdfM1N30202rczUllTfwJ4DfAk81s3wZcZoypE5HJwKPA2BSWR7WDypo65i6tosQq5m5v4xf33dAQDgZqs+JDr1QuaW7FLnez+ISiM3lj437CzhSpZ1ftYMbowtiU0Ojoc8vQfP/1zjChnb+jNnwz3/L9kSu8Ye72NB0J3tza2u+bIiLnjI41cSfWvJMRwOv18Nr6fbHG87AFowu7M2HwWZQP7Mlfq/byyDtbAXtFxQevG85NYwsZ3Du/xZOWqGTTZ7NJyoK4MeYdERnQwva/ua5WAJ17ce4ssShQy9GQRWWSNITrVu/UeeJKdaDmFhhJzEnuzoYGMMJsovvqJfy0ciiDyq7g4/pjseljiSO9E/uvr/bY171Y+ImfYy0AEbjH23SQmd8rzBhdSPWedbH51h6BK4rPBuC19fviRrd7PcKM0f0AmixiUllTx48m28d9dNnWuG3RFRWPpyadLbXuZDKlT/zvgFea2ygitwG3ARQWaq7udKmsqeO51Ttj1xPPpCMZMm9Sqc6iuXTI5QN74vN6ks7NbpLtbKWJa85urf86WX+21wMYezWwQCT+BP/I2WXc1L8gVhse3DufR97+iDc27MeyDMs2f8zsKSUs2/wxwbCFYAf22y87P9ZK8MzKHbFVxcBuZo/mUE9Mz9rZVlRMexAXkYnYQfyS5vYxxjyK3dzOqFGjkmTUVR2hYuvBWHNcVDT5gQd0eplSHSy6YhfGNP3+GRP3/fR4hUjEtJrtrLX+6/eT9GdfWXw2I/v1YNehIyxcsSPuBL/rwc9jmc2iTf9n5XeJrekdHUzWXJN2Wf8C7vvKcH7ywoexJnWvRyjolsfg3vl08du5KkTgtvEDO92iTGkN4iIyApgHTDbGHExnWVTrygf2xO+aK+r1wIzRhQzr0511uw/bTWlKqQ4RHZ9iGYPHI8yeUhILfhVbDxK27CApwNU9dnCJbwPPHxzQ5oFo7la2xMQn7xO/XYC7J14QGzznnmftXhPcnabZPTjNvWBKMtE+bncNfu7SKubfWp7V/dntwZOuBxaRQmAxcLMxZlO6yqHarqx/AXO+XILXidZeEaaX9o0NIFm4cgcz51VQWVOX3oIq1Qm4m9ItY3j8vW1M/c27LFixIzbi2iNwkWziF0dm89X6J5mf9yAAM4Oz+K/wDcwMzuIM+SxWM4/2cQtwwVmnJT0x93uF28cPxOPa+NbG/VTW1MUGid04tpA8nwevNLbQucsbsQzXl/Xlu1cNbnOa5rL+BYzs1yOuBh/tPrh74gWdMoBDaqeYLQQmAL1EpBa4F/ADGGMeAWYDPYGHRQQgbIwZlaryqPZR1xCMnWFH+8ABXaZUqQ7mzqJmGTsHOcDa2g958LrhzL+1nLkvV1G+J3lK0g/MYIadezoVu5pmO+vi9/Cz6SNYFKiNzQcXYETf7rFFTT49Fo5tc4+Hif5NTzLP2j2Vq6UR460958TpYJ1ZKken39jK9luBW1P1+Co1mvsS6RdLqY4VrfXOfbkK765VcX3Uz6zawewvl1C9tx5vQvP5ClPMTWMLOb2Lz5ma1dgHfvjssVwx/DJ+7Aq8iwO1se92NICDPW3LvS3xe5/YPN4eU7myfTpYKohJtvJ6Bhs1apRZvXp1uovRqTU3LzXnvlgTJtj/v/VWOkuhVNz3C4i7/NPH/sCT3gfi+rQ9Hvh2vz08uuMcKq34xUZ6Fo/nsa+P4ubfrWDZ5gOxx/AIPHfHF5p8f1v6bufk9z5DiUhlstbqtI9OV9kn2QCUbJ5nqVQmigbI+iMh5r27LZbHG2MIWwaPCIPOOo2JZn3SZTvz9oa51O/j/4VmUWnZA9G8AvcNPguwp2K5g/ht4wcm/Q67B8u5r0cv6/c+vTSIK6VUmiVLkTpzXgVHQ/ZMkFLZRLm3moqIaxlPqaZiXzEVFCddtjOajOW2wj280mMCL63dTcTA3KVVDO6dH5uK9cq6PUwedg6De+fz0JtbmtSqm0soozKDBnGllEqjZCuHgb3MJ7SQBtXVfO6e1w3Elu0M4WPbaRex9IM9sQVBgqHGwac3jW1c1au5QN1cQhmVGTSIq5Om/WJKnbjEFKkLVuyITQ+LmNbToEZHm+/LH8GuQ0cBYkE94Clh4KnDsExj2lKPp+liIC0Fah0Rntk0iKuTok1tSrVdshPe8oE9KfVsYgyNo8uDYYvi3vls2Fff+jKeppg7Lh3IlSW9ufHR5QQjdhrVtWYw900ZFsvjEAxbeESYO3VYk+9oS4FaR4RnNg3i6qRoU5tSbdPcCe/B6mX80dc0Y1r13noAAkkWG4qmPT189lh+PHVa7Dt3w6h+zHcWCzHGUNcQbFMQbm0fHcCWuTSIq5OiTW1KtU1zJ7yHqt9oNZd5wBTxfqQolmgpev17wwfHBdeSPt1jly1j51aHtgVhDdTZSYO4Oina1KZU20QXKzHGIGIv4FFZU8dHp15E6ND8FnOZv2+K8HiEiGWaHNOtriEYt+hJXUOww56fSg8N4uqk6Rm8Ui2LLlYScRYlCVuGOS9XOXO+exHwzOLSvE28ebQo6SpjPQePRyBuXXBD43Qxd/96F7+2jHUmGsSVUqodJRu8VrH1YNzKXqWyiXLjai63ihg0YhLrKmsh0jSX+RX9elA+sCdvbfo4bo3wxHEo2jLW+WgQV0qpdtLc4LWCbnlxATyxuXydZzDTS+354QtXWHED2dZ5h8RymS/8djmLArU8X1kbt4ynm7aMdS4axNVJ09zKStmaG7zm7qtO1lxePGpS7Pvx3OqdBCJ2mlSPwP2uRUdaWiFMdU4axNVJaWmeuM4hV51NQbe82BrcXiepyoIVO3i1ai8iYAxN5n1XWMWM6dL4U2y5B6+Z5IPTtLatojSIq5PS0jxxnUOuOpPKmjrmvFxFxNhN5uOkmsVL9jB/d29KZRN3uKaMJc77jjiLi1RsPYh7/Hmy7GpKuWkQVyelpXniOodcdRaVNXX86rVNBMNWfJ/3wReIeBpznYfFxxMX/JolB8p4eG9R7P7r93xKZU1d7DvTUnY1pdw0iKuT0txo2Ghf+OwpJdQ1BLXvTuWsaLdRdMGSlnKdC2G+3P0jfrWxR9wxLMtQsfUgd0+8QEeXq+OiQVydtMT+OXdfuNYmVK6LdhtFE6wc6DWayOEXwYSa5DrHm8fyyNC4aWICcS1V2t+tjocGcdXu3H3hljHMXrIuLiGFUtks2spU0C2PuoYgBd3y8HmEUMTg8YB/QDmPf/7f1Fe/2STXef6giYy5aCJ5lRWEwhZej3DDqH5MK+2r3w91QjSIq3ZXPrAnHhEsYw/RiTYV6o+UynaVNXX857wnKbWqeN0J0F6PPXnMzsQGC1fuwOftgcVXCDvfgYCxp4zlbfCwcDzaZK7ajSfdBVC5p6x/AXOnDsPnETxAnl8HtancsO39N/m9536+63uO+XkPUiqbiFiGSGPrOJaBSMSi5JzTm9w/7JqlcffECzSAq5OmNXGVEjeNLWRw73ytbaicckHDmlZXHIv2cc8YXci63eviFi3RKWOqvWkQVymjA3RUrtnSbSSDXYlakq04tpYiZk8pYXDvfMQ169vr0UGeqv1pEFdKqWa40wYDBMwgno38hNFUUWEVM1aaplB9P1JEXUOQiq0HiVbCBZgxuh83jS1M35NROUmDuGo/O1fC9mUwYDz0G5Pu0ih1Uhas2MHsJXZzuN/ncZYNNfg8gxg06nKm9+nOCy8vbpJC1e9tbDJ3JzuKLnCiVHvSIK7ax86V8IdrIRIEbx584yUqrUHaJ66yUmVNHbOXrCPsVKXd87rDEUOfHqdw09hCXnh/DDNr4lOoPnhtY5O5jkJXqaZBXLWP7cvsAG4iEAmya82rzFx5UBc/UVmpYuvBuAFp0RXIACzshU4qa+oI7DhExJk+Ft3PvWCJjgtRqaZTzFT7GDDeroGLNy4rlXvxE6WyRf2RUNz633d6l1AqmwDwCLE+b2NM3P10jQDV0bQmrtpHvzHwjZdifeLnWYNiWan0h01losqaOhYHajHAdFfGtMqaOh5bthUgfjETZ/T5B1IU1+cdDFsIcEXx2dx+2fla81YdSoO4aj/9xsQGtJVh9wdGfySVyiSVNXXc+FhFrK/7+dU7WXjbOMr6F7AoUEvE+dAmLmYSHX2+cW89N40t1D5vlXYaxFVKLQrUEgxbLA7Uar+4yhgVWw8Scg1WC0YMiwO1ANRv/ht3eSupsIqpsIqbjD43ELcegH6mVTppEFcp414IJeRKN6lUupUP7InfaQqPembVDjaufp0/+h7A72tsPp8ZjB99DroegMocOrBNpUz5wJ7k+Tx4RQf8qMxzfVlfLjjrtNj1iAVjWB9rPvcT5kv5H7HGFPFwZGosgIOuB6Ayh9bEVUpU1tSx7f03ebp4DVu6jeS8iyZqrUVlhPj17mGUdzNjWJ+0+fziK7/C/VYRs5esw7IMPq8uHaoyiwZx1e6iyzX+3nM/fsIM8+bxIv8LaCBX6efu5hnJJv7ojx99Hm0+P3z2WB4YPYkhoIv5qIyVsuZ0EXlcRPaLyLpmtg8RkeUickxEvpeqcqiOV7H1IGWmqnFUbyTIttV/Yea8Cipr6tJdPNXJ1R8JxXKau0ef+7FHnwec5vPn9veJfV516VCVqVLZJ/4EcHUL2z8B/h74eQrLoDpYZU0da3ceYnnEbpYMGw8hfPZ1Tfqi0qyypo55726LXY82n0c/pxVWcWxbWD+vKgukrDndGPOOiAxoYft+YL+IfClVZVAdK9rXeCxkYSiKNUuuYihrGaSD21SHc69CVta/wFlZrDFzQcDYn9Pre25ncd15BMyg2LZoelWlMpn2iat2E+1rjP5Evm+KWO8ZwuwpJUxoCGp/oupQ7gFs0fz90RkTR0ONU8vW+4aw7vxJBFbuiLt/NL2qUpksK4K4iNwG3AZQWKjr8Waq6A9kKGzh9Xq4vqxvXDpLpTqSewDbsZDFz16ppovfyx0DDxL+6B3+FinmAxnM7CklALjWO0GwU6pqy5HKdFkRxI0xjwKPAowaNUqzeGaosv4FmoZSZYzygT3xeT0Mi2ywk7XUFBMGbs97EL83zN1eH/8vOIu6hsYVyIzz/yWDevGPk4r0M6wyXlYEcZU93GkoE/sjlepIZf0L+Kchh7hlc+MUskWR8XG50Md6qinoNp3BvfPp4vfEFuzRAK6yRcqCuIgsBCYAvUSkFrgX8AMYYx4Rkd7AauB0wBKRfwSGGmM+TVWZVMdJ1h+pP4qqoxUfXRsXtIEmudCvaAhqK5LKWqkcnX5jK9v3An1T9fgqvTRvuupIia0+0es19ecz1hW0F0fGszgyPpYLfQ1F/Njp99bFTFQ20uZ01W7cP6TuQW46tUylUmKrz+wpJcx5uYpQ2MLj6cMW03QBk0DE/v+OSwdq4FZZTYO4ahfJms+1eVJ1hMRR6I+/ty22OlnEAt+AsbwXHm3ftrc+dr+vjOzDj64pbu6wSmUFXcVMtYvEH9LFgVpNVak6RHQUOtijy7d+/Fnc9gvOzmfJPZcw5cI+iHObBxh0dn6HllOpVNAgrtpF4g/pc6t3ap501SHK+hdwWdGZseuuhGzkeYXppfbQm/KBPenit5fG1aVEVa7Q5nTVLsr6F3B9WV8WrtiBASKWiQ1m06lmKpUWrNjBGxv2x65fJJtifeCFwyfEPnM6Al3lIg3iqt1ML+3L4kAtwbCFiFDQLU+nmqmUWrBiB4uWLOJ2qaZC7P7t+XmN88L/3wdQOW5AXCDXz5/KJdqcrtpNWf8CZk8pwSNCxDLMXVoVC+ruqWZKtYfKmjpeeGkxT/kf5Lu+55if9yDTvMvilhYdK9X6mVM5TYO4ald1DUEsYzDYQdtg56D2CjrVTLWriq0HGc36uKANxC0tGvCU6GdO5TRtTlftKnF++PRSexEU7YdUJytxbEVBtzxed9YDT5bMZaUpZtrU6/Qzp3KaBnHVrhIHDwEawNVJSza2omr34dh64MmSuQgwUZcSVTlOg7hqd9HBQzqoTbWXxDwEv337I97YsA+AgCmKZWBz83tFm9JVztMgrlJG86er9hLNQxB0xlm8Vr0vbv1vgPGDejF52DlU7T6MAV3LXnUKGsRVymj+dNUeon3hI/t2Z+X2Okpd88CjzecAk4edw01jC9NYUqU6ngZxlTLNJdfQ5C+qraJdMsdCdg28VDbFzQOfGZxFwBThwZ4ZoVRno0FcpVRicg3tJ1fHI9olE205L/dUx60PXu6p5v1IkaZRVZ2WzhNXKVdZU8dDb26J1cA1+Ytqq4JueXF93xXOlLLoPPAKqxiPR5g9pURPBlWnpDVxlVLJ1nrWfnLVVnUNQQRiNfGkU8qMoWr34XQWU6m0aVMQF5H/AO4HjgB/AUYA/2SMeSqFZVM5ILHmXdcQ1EUoVLMSx0uUD+yJ3ysEI43V8YAp4v1IEe7B6abpoZTqFNpaE7/KGPMDEbkO2A5MA94BNIirFiUboR4N3NGmdA3kCpKPl9i4t54RbGKMdz2rZCgFRZcA8MbG/YSdwO7zEFtuVKnOpq1BPLrfl4DnjDGHRSRFRVK5JNkIdR3cppJJbLVZHKhl0+rX+aPvgdho9D+d/lv2dR/Ba9V2ohcBZowu1M+P6rTaGsSXisgG7Ob0O0XkTOBo6oqlckniCHVNAqOSiSZ0GRbZwBd81WyqHhm3wAkmzAUNazjvoolxrTvTtBauOrE2BXFjzI+cfvHDxpiIiHwOTE1t0VSu0iQwqjkj2cgfovPAj73Av5mb4xY42dJtJNc3k39Aqc6orQPbbgD+4gTwnwCl2APd9qaycCo3Rdcdf2XdHiYPO0d/hBXQdGlRTJgz5LO40ejXnzMKaNq6o1Rn1dbm9H81xjwnIpcAk4D/BP4XGJuykqmckCw7W2VNHXOXVhEMW6za/gmDe+frD3InV1lTx65DR9hCCSFeiNW8o9PIoquSXaFZ2ZSK09YgHnH+/xLwqDHmTyJyf4rKpHJEcwPYtE9cubk/Jz7PIO7v+VMGfvY+y61iAscGxPYz2MlflFKN2hrEd4nIb4ErgZ+JSBc025tqRXPBWvvEldsjb3/E0ZAFQDBimL+7NzC5yX6C5kdXKlFbg/hXgauBnxtjDonIOcD3U1cslQvcwdrrEXYfOkJlTV2zC6OozmfBih38df2+Nu2rJ3xKNdWm2rQxpgHYD1zi3BQGNqeqUCo3RIP1jDGFIMLClTuYOa+Cypq6dBdNpVk0n/5Db26mVDZxl3cJpbIp6b5egauGns3Cb2s+AaUStXV0+r3AKGAw8HvAj52t7eLUFU3lgmgfeDgSn8RjUaBWk710UgtW7GD2knVELMNFSZYWLbxwAgc/D1Jyzunkn+LX1hqlWtDW5vTrgIuAAIAxZreI5KesVCqnJPaBG4j1lR8LWSwK1OqPdCdRWVPHv774IdFU6MmWFj3UZRK/+tpF6S2oUlmirUE8aIwxImIAROTUFJZJ5ZjEPnCA51fvJBgxGOD5ylqml/bVQN4JLArUEkmytKh7Sllx+oqnVNZpaxB/1hmd3kNEvg18C3gsdcVSuSYxOccNo/qxYMUODBCJ6DSzziJxxYXo0qLjvNUsjxSzzjuEH2saVaXarK1pV38uIlcCn2L3i882xvw1pSVTOW1aaV8WBWp1mlknEh3QWCqb4tYDf98UMeYLV3PFKX5+rP3fSh2XttbEcYK2Bm7VLnSaWecQzdhX0C2POS9XMSyyoclAtoAp4vG/bdfR50qdgLaOTp8G/Aw4C7tFTABjjDk9hWVTOU7zX+c2dyY2ESFiGcq9TQeyBSJFBMMWc1+uYvaXS/QzodRxaGvWtf8ArjXGdDfGnG6MydcArpRqiTtjX8SyR7NFB7KFjSc2kC1qbe1hzSOg1HFqaxDfZ4ypPp4Di8jjIrJfRNY1s11E5NciskVEPhCR0uM5vlIqs0WnFnpco9kCpoibQ7NYcOrNsaZ0t2h6XqVU27Q1iK8WkWdE5EYRmRb9a+U+T2Cnam3OZGCQ83cb9qpoSqkcEO0Lnz2lhIsv6BU3Kv1Qr1J8l32P9b4heMTOyOb3iv2/DnJU6ri0dWDb6UADcJXrNgMsbu4Oxph3RGRAC8ecCjxpjDFAhYj0EJFzjDF72lgmlUWSLUmqclPi6nWzp5SwfOtBws4E8S37P2POy1XM+XIJdQ3BWNDWz4dSx6+tQXyeMeY99w0icrIpV88Fdrqu1zq3NQniInIbdm2dwsLCk3xY1dGaW5JU5SZ3X/ixkMVbG/djTPw+obBFXUOQuydeELtNPxNKHb+2Nqf/TxtvSwljzKPGmFHGmFFnnnlmRz2saifJliSNii6EoYOZckf5wJ74vPZPiwEOVC/jdnkxboETr1e02VypdtBiTVxExgFfAM4Uke+6Np0OeE/ysXcB/VzX+zq3qRzT3PrhWkPPPdFuk5F9u7Nyex2lSRY4CZgiZozqp++1Uu2gteb0POA0Zz/3giefAtef5GO/BNwjIk8DY4HD2h+em6KJXba9/ybjvOup3+/noa0D8O5axd+ZN1lOMWvDRZp6NcvFzQt3bku2wEkgUkRJn+5pLatSuaLFIG6MeRt4W0SeMMbUHM+BRWQhMAHoJSK1wL3YS5hijHkE+DNwDbAFe9DcN4+79CprlHk2U7buLqzwMc4wPnaGbuZe/x/xe8Pc4/XxTesnlA/8QrqLqU6Cu9sE7IxQyRY48QB1DcF0FlWpnNHWgW1dRORRYID7PsaYy5u7gzHmxpYO6IxKv7uNj6+y3fZlmMgxPFj4CTPZuzJWQ/MQ4Rdj6jlXa+FZraBbHpaJz43+PkX8v9Asxop9fY0pIs+v08iUai9tDeLPAY8A84BI6oqjctaA8YTFj1ghQvh4JTKGMZ6NCGHE6+fckVe1fgyVUdzTBgEef29b0j7wNQxm8KhJXN+nO1c4U8q020Sp9tHWIB42xmgyFnXi+o3ho8kL+PPLz/FeeAhrGMyWUD/GSDWrw0P5oTWIsnSXUbWZu//b5/VgGUM4YrgrSW70NZEizu1xCjeN1emhSrW31kann+FcfFlE7gJeAI5FtxtjPklh2VSO+fysMg5edDaDgTPqj/HX9YbV2Gk3FwVqtXaWRdz938Gw1Xh7kj5wbT5XKnVaq4lXYk/1jA42/b5rmwEGpqJQKvdU1tRx42MVsWlmI/vGj04+UH+smXuqTBSdC+4O4GDnRp8ZnBXrEz/1gi8wf1KRnqAplSKtjU4/r6MKonLb4kBt7Ac/GLb4pCEUt/3M/C7pKJY6QWX9C7i+rC8LV+zgImcg2/q84bx9dCABU0QgUkSeV1ioAVyplDqe9cQTHQY+NMbsb98iqVyUkHWT83qdyo5PGmI182mlfdNSLnXippf2ZWvgDX7vcQayWS8wk1kEKEKAGzShi1Ip19aBbX8HjAPedK5PwG5qP09E5hpj/piCsqkcMr20L8+v3kkoYvB7hTsuO587LjtfF73IYmX9C/jFmHryKsN4aRzI9n6kiC5+PTFTqiO0NYj7gGJjzD4AETkbeBI709o7gAZx1aKy/gXMuXYYr6zbw+Rh58SCtgbv7BSdXjbIP4IzxY9xpg6ukqHcNLaQaaV99b1VqgO0NYj3iwZwx37ntk9EJNTcnZSKqqypY+7SKoJhi1XbP2Fw73z9kc8SicvIRqeXHQtZGLyUyr/EBrKtZRDX9emu761SHaStQfwtEVmKnfQFYLpz26nAoVQUTOWWZCuZ6Q995ku2SE30vYyOc4gOZIv61xc/1JM0pTpIW5civRt4Ahjp/D0J3G2M+dwYMzElJVM5JbqSmVeIW8lMZbZkJ1/R9zL64yEJ94kYeOTtjzq6qEp1Sm2qiTt5zp93/pQ6btGVzHQgW3aJzgcPhS28Xg/1R0LMfbmKEed254Kz8xnWpzt1DUHe3rifldsb14R/Y8N+Kmvq9H1WKsVay9j2rjHmEhGpJ36WkGDH9tNTWjqVU8r6F+iPejYy9lc/Ylk88s7W2M2BHXVMv/0LlPUvoHxgT7762+VEnCXMjDHaZaJUB2ixOd0Yc4nzf74x5nTXX74GcKVy36JALaGIwQCR+ORshC27uR3sE7T7pg7D5xE8AnnaZaJUh2i1OV1EvECVMWZIB5RHKZUhKmvqeL6yNtYE5xEYSeMyo2tMUVygvmlsIYN752uXiVIdqNUgboyJiMhGESk0xuzoiEKpzitxOpNKn4qtBwk71W8BLpJNPOWPX2Z0497hce+Tdpko1bHaOsWsAKgSkZXA59EbjTHXpqRUqlNobv6xezqTBoT0iY5CD4UtRISx0nSZ0WdW7dAlRpVKo7YG8X9NaSlUp9PS/GOdS54ZyvoX8OuLQxyqfoOjfb7A0g9LCPFC3DKjXXxtnaWqlEqFtk4xezt6WUR6AQedaWdKnZCW5h9HF0XRgVHptWHVa4xf/nd28/mh+TD8IX5Qcx/9DgeosIoJmCLydh7SqWRKpVFrU8zKgZ8CnwD3YedI7wV4ROTrxpi/pL6IKhclC9g6lzyz1K1/gwtczef7PnyNpeGpCP1ig90ilk4lUyqdWquJ/waYBXQH3gAmG2MqRGQIsBDQIK5OSHMBWwdGZY76s8sJbX0s1ny+PFKMwU4Y4fUIGKMtJkqlWWtB3GeMeRXAWXK0AsAYs0EkMdmiUsdHA3bmWrBiB7Pf8THCzIpNKQuYxvzoVww5iwv79dAWE6XSrLUg7k7vcCRhm/aJK5WDKmvq+NcXPyRiIED84iZgJ3K5/bLzNXgrlQFaC+IXisin2NNET3Eu41zvmtKSqU5P54ynxyNvf0SkmVN0r8CcL5fo+6FUhmgxiBtjvB1VENV5JQvWOmc8PV79y0sM2riUg9LYfN69m49PG8Kxpre6hmD6CqiUitPWeeJKpURzwVrnjHe86JSyy32NGdkCpogzT+vKsVCDTv1TKgNpEFdp1Vyw1jnjHauypo6P3l0aN6Ws3FNNIFLEty4+T3OiK5WhNIirtGouWOuc8Y5TWVPHjY9VMCzSny/n+WJTynZ2L+PBy4bH0qrqe6BU5tEgrtIqMVgD/PiFDzHA9NK+3D3xgvQWMIdV1tSxOFDLim2fEAxbBChiZtCeUjZy/BT+52pdGkGpTKdBXKVddL54tEYYDNszG59dtYMZowuZVtpXa4HtLPG1jgoYe0rZzCOFXJWmsiml2k5XL1BpV1lTx49f+JBnFj/PreYFSmUTAGHLTjoyc14FlTV1aS5lbqnYepBQQgB3e3rlDhas0JWHlcp0WhNXadXYH7uB+XkP4k8YGW3Q0empUD6wJ36fh2GRDUkzskUMzF6yjsG98/V1VyqDaRBXabU4UEswbFHujV+repynmg8ZjGVpfu72Ep2PX9Atj7qGIL+5JMSlFQ/iM40nTu87J04Ali5uolTG0yCu0qaypo7nVu8EoMIqJkTjyOgVppgbRvfj3B6n6Oj0drBgxQ5mL1lHxDIY7JSLd/mWcrnXdeLkrWatVUTEaWX3eUVPnpTKcBrEVdpUbD1I2LLrfe+bIn5w6n0MqA+wPFLMBzKYwaABvB1U1tQxe8m62GsN9sIHyyPF3ONtPHHa2PVCzOf2dgFuGNVPX3ulMlxKB7aJyNUislFEtojIj5Js7y8ir4vIByLyloj0TWV5VGaJzhH3CnTxe7hlxgwm3PozzhgynoiBhSt1UFt7qNh6EMs0TYYeMPaUsv8K38DM4CwuKL2cPJ8Hj9hLjZb06Z6G0iqljkfKgriIeIGHgMnAUOBGERmasNvPgSeNMSOAucC/p6o8KvNE54h/96rBcbnR39iwn4hlsAwEnUFt6sRFT5Y8Aj6PcMelA5k5tpA8r/C+KeIRaypjxl/Nj64pZvaUEjwiRCzD3KVVegKlVIZLZXP6GGCLMWYrgIg8DUwF1rv2GQp817n8JvBiCsujMlDimuIVWw8ScTX7ekT7ZU+WO6HOoGPryd/3RwqGXk5Jn2G8sm4Pk4edE8vKVtcQxDJGZwUolSVSGcTPBXa6rtcCYxP2WQtMA/4buA7IF5GexhitenVS5QN70sXvIRiy8HiEuVOHaRBpB2X9Czh1fyX93/o7/IQJbX2M2ZEfszoyiFXbP4lNJdOc9Upll3QPbPse8BsRuQV4B9gFRBJ3EpHbgNsACgsLO7J8qoOV9S9g9pSSJjVEdfLq1r8Rt8DJKLOelWYQx0IWiwK1sVYRzVmvVPZIZRDfBfRzXe/r3BZjjNmNXRNHRE4DphtjDiUeyBjzKPAowKhRo5qO0FE5o7KmjrlLqwiGrbgaojp5BUMvJ7T1sdho9AqrGLBHqj9fWct0J71tYheHUipzpXJ0+ipgkIicJyJ5wNeAl9w7iEgvEYmW4V+Ax1NYHpUFki1NqtrHkNGTeGLQr2Oj0eMytEX0tVYqG6WsJm6MCYvIPcD/AV7gcWNMlYjMBVYbY14CJgD/LiIGuzn97lSVR2UH7ZNNrTHjr2bG+u6EXVPOBPS1VipLiUkyfzSTjRo1yqxevTrdxVApFE0PmvY+2QkT7P/feit9ZWgHia/nghU7+Fcne5vPK8wY1U9XilMqw4lIpTFmVOLt6R7YplQT2ifbfipr6rjx0eWEIga/V1h42zgG987HK2ABZNlJvFIqni5FqlSOqKyp46E3t8QlaFkUqCUYsed9ByOGRYHaWLpbgy73qlS205q4yhgZ04yehSpr6pg5r4Jg2CLP54llwJOE/YTGcQfHQhYGNLGLUllMg7jKCIlBaPaUEuoaghrQ2yjZqP6y/gXkd/EhYrea5/k8sb7v+beWsyhQy/OVtUQiOohQqWylQVxlBHcQCoYtZi9Zx4Vs5Ki3mlWDJzJ6/NUazFuQbFT/ghU7eOSdrbF9rhnWO/YaRscdTC/tq60fSmUxDeIqI7iDkIgwwmzkqbwH7RShm1/gmxt/wvdv/boGmmZEa9eLA7VEh6q9sm5P3D4vrd3NzeMGxL2GOohQqeymQVxlBHe6z4Jueez90xL8rhShZVaV9tm2waJALcGwxeJALbeMG8CyzQdi24xBX0OlcowGcZUx3LXCDZ4bsP78AmErRAgfy61iru+Wl+YSZraKrQdjg9WCIYv6Y2Fm9tlL9/0rqIgUs943RPu9lcoxGsRVRhoyehLP73qEbav/wvJIMWso4oqGYLqLldEKuuVxkWyi3FNNhVVM9cpNzM97EL83TMTn4+3y32ktXKkco0FcZazzLprITypPIYQ9Yr18YE+dhtaCvD2r7aCNvcDJosj4uC6JD9/7Ez2Lx+vrplQO0SCuMlI0WLunmgFJ50IrO2FLeNNbcUEbIIQvtmrZe+EhfOIsOaqUyg0axFXGaS5xyUNvbkk6F7qzW7BiB7Ne+JBSOY8b8nzg1MQXR8azODI+1rweMEUMSXdhlVLtSoO4ygjuZvLmEpe4p6F5PcLuQ0eorKnr9IE8OpUsYIqYGZzFVwq2saTuvNhSo4GI/X+eV5he2jdt5VRKtT/Nna7SLlrz/sWrG5k5r4KCbnnk+Tx4JX6JzOg0tMuLzyZiOm/O78Qc6SXnnB7bFjBF7B52Jz2Lx+MV+wue5xVmji1k4W3jOv0Jj1K5RmviKu0Sa951DcHYnPFkA9je3LCfiGWnNAmGOlezerL0tE8s344AInDthX14Yvl2gmELn9fD9WV9ma7LjCqVszSIq7RLljI0GnQqth4EiLtuuZbP9HikU819dp/wHAtZPLNqB8GwPTccA9sOfB7bHolYnNvjFA3gSuUwDeIq7dzZ2qIBPNngNoBdh47g83oIRyw8IsydOqxTBanygT3xegTLWV60as+neAQsY69Gtn7Pp/g8QsQyuqiJUp2ABnGVERJzeCc2sS8K1LLYSSnq8wg3jimMrcjV2VhWY0vEhdZGrjn9I/706fkETBGRiOHGsYX06XGKzqVXqhPQIK4yQmISl8QmdoHGZmLL0KeTNhNXbD0YW+CkVDbZi8QcDXNTno+ZwVkETBElfbpz09jCtJZTKdUxNIirtGtuXri7iR3sxT3c/eadUfnAnnic5vRyT3VccpdyTzXvR4qo0/S0SnUaGsRV2jU3Lzyxib2lEeudSXRcX4VVHJeRrcIq7tQnOEp1RhrEVdolG52eTGdb+zpZnviKrQcxThSPJncp91Szs3spxSMv5seddJyAUp2VBnGVdslGpyfTmRY/aW50vmfXKu72vcV74SEETJH9FynipkGFPHDd8DSXWinV0TSIq4zQWi27sqaOnz32JKNMFQ+aYnoOGc/tl52fs8E8sYthcaCWzZVv8Afv/fg9Yb7T1c/M4L+wOlKEX9OpKtVpaRBXWWHVsr/YAcxZ3GNm9Sxu3PQxC7+dmyuZFXTLwyMCxp7v/XH9MUaZqthAtogJ8avyz3nxtMGdomVCKZWc5k5XWeG8z96PBTA/9kjsoDMILtdU1tQxd2kVljF4PMLsKSX0yu8SG8gWNh4i4ufckVdx98QLNIAr1YlpEFdZoX/ZVbEAFh2JDXaNNde4m9KNMdQ1BBnWp3tsINt/hW/grbHzoN+YJouhKKU6F21OV1lhyOhJvHrwd6x5dykVEXttbIGcnBOdbLR+xdaDeMQekb7GKuKfuwymZzPz65VSnYcGcZU1rrr6Wg4UjOSDJevwGEOePzfnRCcbrb9xb73dR44hzxXYj4XsxU8622puSimbBnGVVaLpRF9Zt4fJw87J2aAVfV6LA7X89u2PeGPDPsIWeAVmTymJBfZoClaL3OxaUEq1TIO4ymiJc8Ojg76CYYtV2z9hcO/8nAzklTV13PiY3VTuFjGwbvdhwO5KiK5g5pHc7FpQSrVMg7jKWMkSnjSXojVXRE9adh86QihsUSqbKPdUU2HZ4wAAxNm3rZnulFK5S4O4yljugB0MW/zqtU1MHnZOs4GrsqaOxYFaDDA9C9OPuk9afB5hlG8zT3ofbJwbH5zFGor4uP4YlTV1bc50p5TKXRrEVcaK1jSjgfzdzQdYtf0TZk8poa4hGBe4Epufn1+9k4W3jcuqwOY+aYlYhlv77yZvbxgvFkKYcm81gXARr67fx1sb98eeXzY9R6VU+9J54ipjRWuaw8/tDoDBbkKvcvqE3Sq2HiTk6j8ORUzWJYKJnrR4Bfw+D/3LrsLr64KFl6DxUREpju2bjc9PKdX+tCauMl713vrYZfEIz63eSdgycXOjywf2xO/U2gG8HrKuj7isfwGzp5TERt4PGV3IBp7i5SXPsjzS2CcO4PdK1j0/pVT7S2lNXESuFpGNIrJFRH6UZHuhiLwpIu+LyAcick0qy6OyT8XWg4QjdmAWoOSc0wlbJm5gG9gBcM6XS/B67GFfHk/2NTJFR96/t+UAc5dWUVlTxx9rz+ah8NS4QW1XDT0767oKlFKpkbJfOhHxAg8Bk4GhwI0iMjRht58AzxpjLgK+BjycqvKo7ORuYu7i9zBjdGFck7O7NlrXEIyttR2JZF9edXef+LGQxSJnkJ7blUPP5tGvj9IArpQCUtucPgbYYozZCiAiTwNTgfWufQxwunO5O7A7heVRWSjZCOzBvfOTjsjO9ilX5QN74vMIwYjBAM9X1vKtLwyI22fC4LPSUjalVGZKZRA/F9jpul4LjE3YZw7wqoh8BzgVmJTsQCJyG3AbQGFhYbsXVGW2xBHYzY3IzvYpV2X9C7hhVD8WrNiBwW5NqNrzqSZ0UUo1K90dhzcCTxhj+gLXAH8UkSZlMsY8aowZZYwZdeaZZ3Z4IVVmSraCV1n/gqxbntP9PEr6dMfrETxOd0F0XrxXiOVMV0qpqFTWxHcB/VzX+zq3uf0dcDWAMWa5iHQFegH7U1gulQOSZXPLlsAdzcpW0C2Ptzbu5/XqfVgGfF7hQrOR26SaVTKU66ZM46axhc12HyilVCqD+CpgkIichx28vwbclLDPDuAK4AkRKQa6Ah+nsEwqR2Rr+tXoyUd09TG34dZG/pjXmKHtT3sKgUJN6KKUalbKmtONMWHgHuD/gGrsUehVIjJXRK51dvtn4NsishZYCNxiosOLlWpBYmKUbGlmjp58RD/kpbKJu7xLYjnS/YTxiYWfMBc0rElnUZVSWSClyV6MMX8G/pxw22zX5fXAxaksg8pN2TqILZZKNmQxUjYx31Xz/rfQzYTwgbGvL7eKGZnuAiulMppmbFNZKxuamROXUnWffJR8tAz/TrvmjQkz5PQQMw/Piq1aVnzqsHQXXymV4TSIq5yRGDDTrbnBd9G/5w+PIbTzd7Ga99JPBxIwRQQiRfi9wo9L+6b7KSilMpwGcZXx2hKcM3G0emuD7867aCLfrPwJZaaKCquYSqsxteoNo/qlvfxKqcynQVxltLYG50wcrd5cBjn3Scm1U65j9pJBhC17qJtgp5edrrVwpVQbaBBXGa2l4PzqX17iUPUb9Ci+nIKCkXhEMMYgIhR0y0tzyZMPvks8KZle2hfLNSFDBGZPKUn7CYhSKjtoEFcZrbna7Kt/eYnxy//OHtm9fD5fD89ihIFyrz0obM7LwuDe+WkPhtHHjy7GknhSYgCPSCyQG6OpVZVSbadBXGW05qaSHap+IzanGhNmqixjet6y2HStmcFZLA70TXsQr6yp48bHKmInIdcM6w3YzeZ+pyZ+ehcfj7yzFbBXBKo/EkpfgZVSWSXdudOValWyfOg9ii8nhI+w8RDChwhxiVLKPdV8XH8sjaW2/fbtj2LJXYJhixfX7MYydrAecW53APJP8SOu+8x7d1tcPnillGqOBnGVla66+lqWjfsdi3t8g2XjfseZF99CWBqDeoVV3CStaUerrKnj9Q3NLwOwcrvdP17QLQ+vpzGMW5bJurXQlVLpoUFcZa2rrr6W86fdy9tHzuOeZT5uOjaL/wrfwMzgLAKmiNer97FgxY60la9i60FMwqC1RKGwRV1DkLlTh+HzCB4gz589aWSVUumlfeIqayUuJhLATpQSZRmYvWRd2ga4xVKshi08Itx6yXlQu5Ie+1fw14ZBvG8VxQbrlfUv0NXKlFLHTYO4ylqJi4kkE22aTnVQTJaQJjoob3Gglo/rjxH42//xB+8D+AnzDb+Pr4d/zHVTpsXtr8FbKXU8NIirrBWt6bqX9RTg/LNOY9vHn2FM8qbp9k7PumDFDmYvWUfEMnTx2wlpwD7JGHRsPT3f/xPVoSFxq5RhwoyR9dQ1TDnpx1dKdV4axFXWitZ0f/v2R7xevS8WtH82fQRA0kDd3ulZK2vqmL1kXSzjWjBksThQy3OrdzLM2si38h7kcglzZ17TVcpWMZQfat+3UuokaBBXWW3j3nre2LAfy4DXI7FsZ81N0Wrv9KwVWw/GZVzzeIT99ccIRgzl3via95nez7m/50/psX8FyyPFrPMOPuHHVUop0CCuslhiLdiyDHUNwRZr281lgDtRiYPX5k4dRtXuwwBUWMWxmrfl8TN83Je46x0fYWsqAJ5IZuR4V0plLw3iKmslqwWXD+zZYm27uQxwJ6q5/OhPr9pJwCpiZnAW4zzVnFY8kb/tOpuwdaCxvCI6lUwpdVI0iKuslawWHA3KLdW2O2IUeFlhD1Ztr+N9U8Q6BsMGIRRuDOA+T3x5lVLqRGgQV1nLPYXLAIN758dunz2lhFfW7WHysHNSGigTm+5nTylhzstVBMMWAF6BCYPP4rXqfXEj6OdOHcZNYwtTVi6lVOegQVxlvUWBWoJhe1R4dHrX3KV2IF21/ZNYcE9FIhV3030wbPHoOx/FAjjYCWd65XdBROwlyrDzpq9z+s2VUupkaBBXWS1Z/zcQd9tv3/6INzbsj5vH3R6BvLKmjl2HjuDzeghH7Mc745M1XOMshxowRfi9wvTSvhyoP8ar6/fF7pskA6tSSh03DeIqqzU32jx6m9fr4fXqfUSctuxjIYtFgdrjCuLR5DAF3fKoawjGHiPajO7zCMPP7Y531yrm5z0Ytxxqr8HjAbj9svN5a9PHsXJOK+3bvi+EUqpT0iCuslpzo83n31rOtvffJH9vBY/uOIdKY+dUN8DzlbVML23bWuP1R8Nx+dk9Yp8gTCvtG6vtRyxDybndOWNv/Lzwck81/7u+iHc2f8z8W8tZ+O32GxWvlFKgQVzlgGSjzcs8mylbdxcmcoxL/b7YymYAkeOYn/3p0VBcfvZoE71AbGS8iDCsT3d6nTKF0PIXYhnZosuhRpv5E9dEV0qpk6VBXOWm7cswkWOIsciTCOO81RCBck81FaaY+iMDm9wlWU7107v68XmEYKRxPrrXI0wr7UtJn+6xnOlzl1Yx/9bxLON37P3gNd73DGPtJ33xGNMuSWWUUioZDeIqJ23oeiH9LZ/TP+3loHVafH/1MvgpcGVJ71h/d3REeyzLG5Df1ccNo/qxYMUODPaAtBtG9aOsfwGLArVELBOrbS8K1LI44OdY6IvOviYuFaxSSrU3DeIqJ73+2QDeCM1irFSzwhQzzpOkv3pZEY+/t42wZfCIYBkTn+XNOda00r48t3onoYjB77Vr4ZU1dTxfWRtrZvd6BIG4pncDGGOnglVKqVTwpLsASqVC+cCeVHmH8FtrKlXeIfjOv5QQPsLG09hfbSAUsQO35QRyj4CIUNAtL/6AInH/V2w9SDhiUSqbuMu7hO8WH2ZaaV/yfJ7Yl8ojaFO6UiqltCaucpJ71HpBtzwefecj3gnOsvvEnTncAF6PnYPF7/Nwy7gBzHt3W6yP+8tHw+R39cUCtqFxUFz5wJ6M8m7mD167iZ6tS/Bd9nLcY1btPoxpuZhKKXVSNIirnBXth45OEdtOEYFIUWy7B5gxupA+PU6JLZximcY+7k+Phsjv6msyF72gWx6LA7WMZn2siT4cCbJrzauUfXlMbBGUaB97NJOc9osrpdqbBnGV06IZ3RJrxALk+RuTrkRrzz6PEIrYA9JO7+oH4nO0538cYM/SF6gOFwPF3OP1xaaULY8M5XrsUe6/em1Tu65brpRSyWgQVznNvdKZZezat88r3DCqH9NK+7Jxb31smphHaNL3XX80zJNvbqGgWx4fBd7g95778XvC3JVnzz2f6TTRr5YSfnjRRBas2BG3xrn2iyulUkmDuMppiX3j0bSp0SZvd8CN2MPJ7csRi48/O8aB+mP84tWNeES4Tarwe+JHuD8SmUqvweP54WXnA8QdT4CLL+jFP04q0lq4UiolNIirnNfc+uHRPvCoUtkUG/i23jcEIDbtzDKGCikmhC8uI5sIXNivB2X9C3jozS1xx/N6RAO4UiqlNIirTqt8YE98XrupvVQ2xZLBhMXHO+W/49Q/xX893jdFsebzVQxljRmEx9M4Hc3ddO8RYe7UYRrAlVIpldIgLiJXA/8NeIF5xpifJmz/JTDRudoNOMsY0yOVZVIqqsyzmf/p+ya/rTmH8oRkMOv+9icuCIZj+wp2zXqtKWK9Zwi3jBvA++9uwzL2dLTBvfObXYxFKaVSJWVBXES8wEPAlUAtsEpEXjLGrI/uY4z5J9f+3wEuSlV5lIqzcyX84VquDB/j0jwf/xa6Oa6p/L3wEK48thIROxObCEwZcQ6Dzs6Pm46WOPq8uaZ7pZRKhVRmbBsDbDHGbDXGBIGngakt7H8jsDCF5VEqZteaV7HCx/Bg4SfMGfIZM4Oz+K/wDcwMzqLSKkKO1XMOB7hINmEZeHHNbgq65VHWvyDWdO7V0edKqTRKZRA/F9jpul7r3NaEiPQHzgPeSGF5lALsedz/vDKfYyY+DWvAFPG/kal8csZISmUTxZ4a+sl+5uc9SKlsAuCVdXuAxlHv371qsCZyUUqlTaYMbPsa8LwxJpJso4jcBtwGUFhY2JHlUjmoYutBVoYvYCazGOetJlJ4MR9sPxMPhjyfh9suPZ89S5/Gg0EAP/Z0skCkiMnDzokdR5vOlVLplsogvgvo57re17ktma8Bdzd3IGPMo8CjAKNGjdJ01OqkRJvC14aLWC9DmP/Fcq6EuAFp/7t5AhaP48EQwsf2/It4cOJwbhpbmHTdcaWUSodUBvFVwCAROQ87eH8NuClxJxEZAhQAy1NYFtVJJQu47jSq0TPCxFr1mPFXs9H05zQa+IH1Q75/49diCWJmzquIX3dcA7lSKk1SFsSNMWERuQf4P+wpZo8bY6pEZC6w2hjzkrPr14CnjTFaw1btqrWAuyhQSzBs8eyqncydOoybxjZ21ZT1L6D+nN58ejTE92/9eux+0VzsmhNdKZUJUtonboz5M/DnhNtmJ1yfk8oyqM6rpYDr3mYZw+wl62JzvVviTuiSdN1xpZTqQKkcna5UWrU0Dax8YE880cVOAMsyVGw9GLu+YMUO1u/5lJ2fNDBzXgWVNXWAXUOfPaUEESFsGea8XBXbppRSHU2DuMpZ0b7vr40pjC056t42d+owfB6JrWy2+9ARKmvqWLBiBz958UOiPTzHQlZcgH9r434iziIn0fXClVIqHTJliplSKRPt+14cqI3rF79pbCGDe+ezKFDLc6t3smDFDp5dvRPLsjOxRRmg/kgIsPvZX9+wP+74OphDKZUuWhNXOS1Zv7hbWf8CBAhFDMb5P5IkKs97d1tspLt7DKZXYHpCLV8ppTqKBnGV09qSHjUxZnvFXvDEzTImNlUtz+fBI+DzCPd9ZbiOTldKpY02p6uc1paVxaaX9uX51TsJRQx+rzDn2mHUNQTp8+dT2HP4KB6BPOcEQFcqU0plEsm26dmjRo0yq1evTncxVI5JmoVtwgTqj4Z58t+f0ICtlEorEak0xoxKvF1r4krRfB70/K4+7p54QRpKpJRSrdM+cdVpVdbU8dCbW5LO866sqWPXoSPUHw2noWRKKdU2WhNXOa25xUpaSska3fbEJw14RPDW1GlTulIqI2kQVzmrpUDdlpSsYI9KX6X50ZVSGUqb01XOammOeGspWfN89lfDI5J0WppSSmUCrYmrnBUNxqGw1SRQtzRVLLqt98vdOL2rn3ythSulMpQGcZWzWpvT3dyI9Og2epzSEcVUSqkTpkFc5bSWArVSSmU77RNXSimlspQGcaWUUipLaRBXSimlspQGcaWUUipLaRBXSimlspQGcaWUUipLaRBXSimlspQGcaWUUipLaRBXSimlspQGcaWUUipLaRBXSimlspQYY9JdhuMiIh8DNekuR5r0Ag6kuxAK0Pcik+h7kTn0vUid/saYMxNvzLog3pmJyGpjzKh0l0Ppe5FJ9L3IHPpedDxtTldKKaWylAZxpZRSKktpEM8uj6a7ACpG34vMoe9F5tD3ooNpn7hSSimVpbQmrpRSSmUpDeJKKaVUltIg3kFE5HER2S8i61y33SciH4jIGhF5VUT6OLfPdG7/UET+JiIXuu6z3bl9jYisbuaxvu9sXyMi60QkIiJnpP5ZZocOfi+6i8jLIrJWRKpE5Jupf4bZo4PfiwIRecE5xkoRGZb6Z5g92vG96CEiz4vIBhGpFpFxSR5LROTXIrLFOU5pxzzLHGSM0b8O+AMuBUqBda7bTndd/nvgEefyF4AC5/JkYIVrv+1Ar+N43C8Db6T7+WfSX0e+F8As4GfO5TOBT4C8dL8GmfLXwe/FfwL3OpeHAK+n+/ln0l87vhd/AG51LucBPZI81jXAK4AA5e7769/x/WlNvIMYY97B/gF33/ap6+qpgHFu/5sxps65vQLoexIPfSOw8CTun3M6+L0wQL6ICHCa87jhEyl3Lurg92Io8IZzrA3AABE5+0TKnYva470Qke7YJwO/c/YLGmMOJXm4qcCTxlYB9BCRc9rx6XQaGsTTTEQeEJGdwExgdpJd/g77jDXKAK+KSKWI3NbKsbsBVwOL2qu8uSxF78VvgGJgN/Ah8A/GGKsdi52TUvRerAWmOccfA/Tn5E6QO4XjfC/OAz4Gfi8i74vIPBE5Ncl9zgV2uq7XOrep46RBPM2MMT82xvQD5gP3uLeJyETsL8gPXTdfYowpxW7CultELm3h8F8G3jPGfNLCPsqRovfii8AaoA8wEviNiJze/qXPLSl6L36KXeNbA3wHeB+IpKD4OeU43wsfdpP8/xpjLgI+B37UgcXtdDSIZ475wPToFREZAcwDphpjDkZvN8bscv7fD7wAjGnhmF9Dm9JPRHu+F98EFjvNhluAbdj9sapt2u29MMZ8aoz5pjFmJPB17DEKW1Na+tzSlveiFqg1xqxwrj+PHdQT7QL6ua73dW5Tx0mDeBqJyCDX1anABuf2QmAxcLMxZpNr/1NFJD96GbgKWEcSTt/UZcCS1JQ+t6TwvdgBXOHsdzYwGA0cLUrVe+GMms5zrt4KvJPQ56sSHO97YYzZC+wUkcHOTVcA65Mc+iXg684o9XLgsDFmTyqeQ67zpbsAnYWILAQmAL1EpBa4F7jG+bBb2Mur3uHsPhvoCTxsj4cibOyVgc4GXnBu8wELjDF/cY5/B4Ax5hHnGNcBrxpjPk/9s8suHfxe3Ac8ISIfYo/E/aExRpdqdHTwe1EM/EFEDFCF3QysHO30XoDdVTHfOWHait0alfhe/Bl7hPoWoCG6jzp+mnZVKaWUylLanK6UUkplKQ3iSimlVJbSIK6UUkplKQ3iSimlVJbSIK6UUkplKQ3iSnVSItJTGle72ysiu5zLn4nIw+kun1KqdTrFTCmFiMwBPjPG/DzdZVFKtZ3WxJVScURkgogsdS7PEZE/iMgyEakRkWki8h/OOtJ/ERG/s1+ZiLztLEDyf7oilVIdQ4O4Uqo15wOXA9cCTwFvGmOGA0eALzmB/H+A640xZcDjwAPpKqxSnYmmXVVKteYVY0zISR3rBf7i3P4hMAA7H/ww4K9OCk4voHmwleoAGsSVUq05BmCMsUQkZBoH0ljYvyECVBljxqWrgEp1VtqcrpQ6WRuBM0VkHICI+EWkJM1lUqpT0CCulDopxpggcD3wMxFZC6wBvpDWQinVSegUM6WUUipLaU1cKaWUylIaxJVSSqkspUFcKaWUylIaxJVSSqkspUFcKaWUylIaxJVSSqkspUFcKaWUylL/H8Lkewc6z1Z4AAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Fitting cycles: 0%| | 0/57 [00:00, ?it/s]"
]
},
{
"data": {
"image/png": 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582bWrVsHQExMDD179jz8/Pfee4/zzjuPxo0bs3jxYlavXn14XZcuXQBo3LgxDRs2pFq1apQsWZK6deuyefNmFi1axPLly2nRogXNmjVj0aJFOdbh1apVi5YtWx61fPHixfTu3ZsqVaoAcNJJJx3TccyJnx3KpgBPAtNyWL8ImK+qKiJNgNnAWT7G44hAUpK7rVvnksETT8DTT8OQITBqFJx2mu9h+C0pKYnY2FgyMjKIjY0lKSkp6JBMUfDYY4HstmTJkofvx8TE5Flxmrl9TEwMBw4cOLw8a9NKESE5OZl3332XlJQUSpcuTVJS0uF2+HFxccTExACuP8WwYcNYtmwZNWrUYNy4cUe018/cZ7FixY6It1ixYhw4cABVZdCgQTzwwAN5vt8yZQp22HLfrghU9QNgVy7r93qXKwBlgIKvxY2PhxdegG+/hf794Zln3LIxY+CXXwo8nPyUmJjI9OnTuemmm1i0aBGJiTYMsik6KlSoQKVKlQ6X/0+fPv3w1UFu3nnnHXbt2sX+/fuZN28erVq1Ys+ePVSqVInSpUuzdu1aPv3002yfm3nSr1KlCnv37mXu3LnHFHObNm2YO3cuP/30EwC7du1i0yY3MnSJEiXIyMjI8zUuvvhi5syZw86dOw+/Rn4ItLJYRLqLyFpgAfD3XLYb6hUfLUtLS8v/QOrWheeecwmhWze47z444wx46ikI48MprHr16sW//vUvSwKmSJo6dSq33XYbTZo0YeXKlYwdOzbP55x77rn07NmTJk2a0LNnTxISEujQoQMHDhygfv36jBo1KtsiGYCKFSsyZMgQGjVqRPv27WnRosUxxdugQQPuvfde2rVrR5MmTWjbti3bt28HYOjQoTRp0oR+/frl+hoNGzZk9OjRtG7dmqZNm3LzzTcfUww5kT9/lOc/EakNvKGqjfLY7i/AWFW9JK/XTEhIUN8nplm6FG67Dd5/H846CyZOhIsv9nefpkgqChPTfP3119SvXz/oME7YlClTWLZsGU8++WTQofguu89MRJarakJ22xeK5qNeMVJdEakSdCwAtGjhKpRfew3S012z0379wMvexhhTlASWCETkDPFqbkTkHKAksDOoeI4iAl26wKpVcPfdMHeuuzp44gnwsWOJMcYfgwcPjoqrgePhZ/PRl4EU4EwR2SIiV4rINSJyjbdJT2CViKwEJgKXqZ/lVMerVCkYN84lhJYt4YYb4C9/gW++CToyY4zJF741H1XVvnmsfwh4yK/957v4ePjf/+Cll+D666FZM7j3XrjxRvCalxljTCQqFHUEBSFfBmATcXUFq1dDu3Zw663u6sDrfGKMMZEoahJBvo67U60azJsH06fD11/D2WfDtJz6zRljTOEWFYkgJSWFAQMG8Mgjj9CmTZv8SQYirhPaF19A8+YwaBAMGBDxHdGMKWy2bNlC165diY+P5/TTT2fEiBGkp6cDrknoddddF3CERytbtuxxP3f+/Pk8+OCD+RhN3qIiEfg67k6NGm546/HjXf3BOee4fgjGmBOmqvTo0YNu3bqxbt06vv32W/bu3cvo0aN922fokBRB6NKlC6NGjSrQfUZFIsgcdycmJsafcXdiYuCuu1wHtIwMaNXK9UouhI2gjIkkixcvJi4ujiuuuAJwYwc9+uijTJ48mX379gGwefPmo4aW/u233+jUqRNNmzalUaNGzJo1C4Dly5fTunVrmjdvTvv27Q/37E1KSuLGG28kISGB++67j1q1anHo0KHDr1WjRg0yMjLYsGEDHTp0oHnz5lx44YWsXbsWgO+++47ExEQaN258xLDToTZu3MhZZ53F4MGDqVevHv369ePdd9+lVatWxMfH89lnnwFHXuUMHjyYG264gfPPP5+6dese87AW4fJz0LlCI3PcnSVLltCjRw//hly44AI3uumAATB8OHz2mRvMrlQpf/ZnTAG75/XVrNmWv8WfDU4tz91/bZjtutWrV9O8efMjlpUvX56aNWuyfv16AD777DNWrVpF6dKladGiBZ06dWLTpk2ceuqpLFiwAIA9e/aQkZHB9ddfz2uvvUbVqlWZNWsWo0ePZvLkyQCkp6eTOWrBihUreP/997nooot44403aN++PSVKlGDo0KE888wzxMfHs2TJEoYNG8bixYsZMWIE1157LQMHDmTixIk5vtf169czZ84cJk+eTIsWLXjppZf46KOPmD9/Pvfffz/z5s076jnbt2/no48+Yu3atXTp0oVevXod8zHOS1QkAoBzzjmHc845h7p16/q7o0qVYP58+Mc/XP+DL7+E//7XDXdtjMl3mUNLA4eHlu7YsSO33HILI0eOpHPnzlx44YWsWrWKVatW0bZtW8DNOFatWrXDr3PZZZcdcX/WrFlcdNFFzJw5k2HDhrF3714++eQTevfufXi7P/74A4CPP/6YV155BYABAwYwcuTIbGOtU6cOjRs3Bty4QW3atEFEaNy48RHDZYfq1q0bxYoVo0GDBvz444/HeZRyFzWJwPcEEKpYMdcbuXlzV6HcvDnMnAneF9CYSJXTL3e/NGjQ4KjikF9++YXvv/+eM844gxUrVmQ7tHS9evVYsWIFCxcuZMyYMbRp04bu3bvTsGHDHBuLhA793KVLF+6880527drF8uXLufjii/ntt9+oWLEiK1euzPb5WePITtbhqUOHrs6pbiL0OX71uY2KOoLAdO4My5bBqafCpZe6Ya6NMWFr06YN+/btY5rXPPvgwYPccsstDB48mNKlSwPZDy29bds2SpcuTf/+/bnttttYsWIFZ555JmlpaYcTQUZGxhETy4QqW7YsLVq0YMSIEXTu3JmYmBjKly9PnTp1mDNnDuBOyl988QUArVq1YubMmQC8+OKLvh4TP1gi8NsZZ8DHH0P79nDttW42NBuryJiwiAivvvoqc+bMIT4+nnr16hEXF3fEZO/ZDS391VdfHZ4b+J577mHMmDHExsYyd+5cRo4cSdOmTWnWrBmffPJJjvu+7LLLmDFjxhFFRi+++CLPP/88TZs2pWHDhrz22msATJgwgYkTJ9K4cWO2bt3q3wHxia/DUPuhQIah9sOBA3DLLfD44+5K4aWXoFy5oKMyPrNhqE0QInIY6qhQvDhMmODmNnjzTdfCKAJ/ORhjih5LBAVt2DBYsAC++w7OP99GMTXGBM4SQRDat4fkZPj9d9f5zOtIYkxhFWlFyNHseD4rSwRBOeccV4lcoYKbBvOtt4KOyJhsxcXFsXPnTksGEUBV2blzJ3Fxccf0vKjpR1AoZbYo6tDBVSBPnQqXXx50VMYcoXr16mzZsoW0tLSgQzFhiIuLo3r16sf0HEsEQTvlFDdGUdeubq6DvXth6NCgozLmsBIlSlCnTp2gwzA+sqKhwqBCBTf7WadOcPXVrompMcYUEEsEhUVcnBuTqHt3GDEC/vWvoCMyxkQJSwSFSWwszJoFffrA7be7geuMMcZnVkdQ2JQoATNmQMmSMHYs/PGHSwhhDGhljDHHwxJBYRQTA5Mnu2Rw332uV/K4cUFHZYwpoiwRFFbFirlJbQ4cgHvucUnhjjuCjsoYUwT5VkcgIpNF5CcRWZXD+n4i8qWIfCUin4hIU79iiVjFisGkSa5Z6Z13wqOPBh2RMaYI8vOKYArwJDAth/XfAa1V9WcRuRSYBJznYzyRKSYGpkyB9HS4+WZ3ZTBsWNBRGWOKEN8Sgap+ICK1c1kfOhD4p8CxdYWLJsWLw4svumQwfLhLBldeGXRUxpgiorA0H70SeDOnlSIyVESWiciyqO3mXqKEa1raoQMMGQKzZwcdkTGmiAg8EYjIRbhEkP1sz4CqTlLVBFVNqFq1asEFV9iULOk6nV1wgZsL+Z13go7IGFMEBJoIRKQJ8BzQVVV3BhlLxChVCubPh/r1XS/kpUuDjsgYE+ECSwQiUhP4LzBAVb8NKo6IVLGiG5vo//4PLr0U1q4NOiJjTATzs/noy0AKcKaIbBGRK0XkGhG5xttkLFAZeEpEVopIBE5EHKBq1eDtt11Fcrt2sGVL0BEZYyKUn62G+uax/irgKr/2HxVOP93Nf5yU5JLBRx/BSScFHZUxJsIEXllsTtDZZ7s6gw0boFs3NzaRMcYcA0sERUHr1jBtGnz4IVxxBRw6FHRExpgIYmMNFRWXXQYbN8KoUVCnjhuszhhjwmCJoCi5/XZITYX773fJ4CqrgjHG5M0SQVEiAhMnwvffwzXXQI0a0L590FEZYwo5qyMoaooXd8NPNGoEvXvDF18EHZExppCzRFAUlSsHb7wB5ctD587www9BR2SMKcQsERRV1avD66/Dzp3Qo4c1KzXG5MgSQVF29tkwdSqkpMDVV4Nq0BEZYwohSwRFXe/eMHasSwiPPBJ0NMaYQsgSQTS4+27o2dM1L30zx2kfjDFRyhJBNChWzF0RNG4MffrA118HHZExphCxRBAtypRxYxLFxUGXLrBrV9ARGWMKCUsE0aRmTTfD2aZN0LcvHDwYdETGmELAEkG0adUKnnzSzWVw991BR2OMKQQsEUSjIUPgyivdwHSvvRZ0NMaYgFkiiEYi7qogIQEGDoRvbaZQY6KZJYJoFRcHc+dCiRLQvTvs3Rt0RMaYgFgiiGa1asHMmbB2rSsqsp7HxkQlSwTR7pJLXF3B7Nnw6KNBR2OMCYAlAgMjR7riodtvh+TkoKMxxhQwSwTGVR5PmQJnnOF6Htuw1cZEFUsExilf3lUe//ILXH65dTYzJopYIjB/atTITXX53nvwj38EHY0xpoD4lghEZLKI/CQiq3JYf5aIpIjIHyJyq19xmGM0eLDrWzB+PLz7btDRGGMKgJ9XBFOADrms3wXcADzsYwzmWInAU09B/frQrx9s3x50RMYYn/mWCFT1A9zJPqf1P6nqUiDDrxjMcSpTBubMcZ3MLr8cDhwIOiJjjI8ioo5ARIaKyDIRWZaWlhZ0ONGhQQN3ZZCc7IqJjDFFVkQkAlWdpKoJqppQtWrVoMOJHoMGwRVXwL33utFKjTFFUkQkAhOgJ590Vwf9+1t9gTFFVFiJQET+KSLlRaSEiCwSkTQR6e93cKYQKF36z/qCgQPh0KGgIzLG5LNwrwjaqeovQGdgI3AGcFtuTxCRl4EU4EwR2SIiV4rINSJyjbf+FBHZAtwMjPG2KX+8b8T4qH59mDDBNSd92Bp5GVPUFD/G7ToBc1R1j4jk+gRV7ZvH+h+A6mHu3wTtqqvgrbdg9Gi46CJo0SLoiIwx+STcK4I3RGQt0BxYJCJVgd/9C8sUOiLw7LNQrZqb7/jXX4OOyBiTT8JKBKo6CjgfSFDVDOA3oKufgZlCqFIleOkl+O47GD486GiMMfkk3Mri3kCGqh4UkTHADOBUXyMzhdMFF8DYsTB9OsyYEXQ0xph8EG7R0F2q+quIXABcAjwPPO1fWKZQGz3aJYRrr4UNG4KOxhhzgsJNBJljEncCJqnqAiDWn5BMoVe8OLz4ovvbty+kpwcdkTHmBISbCLaKyH+Ay4CFIlLyGJ5riqKaNV3l8dKlrqjIGBOxwj2Z/w14C2ivqruBk8ijH4GJAr16wZAh8M9/wqJFQUdjjDlO4bYa2gf8BFzgLToArPMrKBNBHnsM6tVz4xLtynGwWWNMIRZuq6G7gZHAHd6iEriWQybalS7t6gt+/NFVHqsGHZEx5hiFWzTUHeiC6z+Aqm4DyvkVlIkwzZu7oapnz3ZJwRgTUcJNBOmqqoACiEgZ/0IyEen2212T0uHDYePGoKMxxhyDcBPBbK/VUEURGQK8CzzrX1gm4sTEwLRprmho4EA4eDDv5xhjCoVwK4sfBuYCrwBnAmNV9Qk/AzMRqE4dN3/Bhx/Cv/4VdDTGmDCFO/ooqvoO8I6PsZiiYMAAeOMNuOsuaNcOzjkn6IiMMXkIt9VQDxFZJyJ7ROQXEflVRH7xOzgTgUTgmWfg5JOhXz/Yty/oiIwpElJTU0lNTfXltcOtI/gn0EVVK6hqeVUtp6o2iYzJ3kknwZQpsHYtjBwZdDTGmDyEmwh+VNWvfY3EFC1t28KNN7o6gzffDDoaYyLeihUrePrpp0lJScn31w63jmCZiMwC5gF/ZC5U1f/me0Sm6HjgAXjnHfj73+HLL6Fq1aAjMiYipaSkMGDAANLT05k4cSKLFi0iMTEx314/3CuC8sA+oB3wV+/WOd+iMEVTXJzrYLZrFwwdar2OjTlOyYsX0/+PP2hw6BDp6ekkJyfn6+uHe0XwnKp+HLpARFrlaySmaGraFO67D267DSZPhiuvDDoiYyLL558zfNYsyqvyuAijYmNJSkrK112Ee0WQXZ8B60dgwnPzzW7C+xEjYP36oKMxJjLs2gXDhkFCAuV/+IGlw4ax+eab871YCPK4IhCRRNxcxVVF5OaQVeWBmHyNxBRdxYrB1KnQpInrZ/Dhh25SG2PM0Q4edFfPd9wBu3fD9dfDuHG0qFiRFj7tMq8rgligLC5hlAu5/QL08ikmUxTVqAFPPw2ffgr33x90NMYUTp99Bi1bujq1hg1hxQo31HvFir7uNtefZar6PvC+iExR1U3H8sIiMhlXofyTqjbKZr0AE4COuIrowaq64lj2YSJMnz6u1/H48dC+PZx3XtARGVM4pKW5K4Dnn4dq1Vwji759XQfNAhBuHUFJEZkkIm+LyOLMWx7PmQJ0yGX9pUC8dxsKPB1mLCaSPfkknHYa9O8Pe/cGHY0xwcrIgAkT3OROU6e6RhXffAOXX15gSQDCbzU0B3gGeI4/J7LPlap+ICK1c9mkKzDNG976UxGpKCLVVHV7mDGZSFSxohul9KKLXCXypElBR2RMwVOF1193J/5vv3UdMCdMgPr1Awkn3CuCA6r6tKp+pqrLM28nuO/TgM0hj7d4y0xR17q1m7/g2WfhtdeCjsaYgvXFF3DJJdC1q2tIsWABvPVWYEkA8kgEInKSiJwEvC4iw0SkWuYyb3mBEJGhIrJMRJalpaUV1G6Nn8aPh2bN4Kqr4Icfgo7GGP/98IP7vp99NqxcCU884Xrcd+xYoMVA2cmraGg5blayzChvC1mnQN0T2PdWoEbI4+resqOo6iRgEkBCQoJ1Ty0KYmNdhVjz5m4IigULAv9nMMYX+/fDo4+6IVf++ANuugnGjIFKlYKO7LBcrwhUtY6q1vX+Zr2dSBIAmA8MFKclsMfqB6JMgwZuAps333RNS40pSg4ehOnT4ayzYPRoVw+wejX8+9+FKglAmJXFItIjm8V7gK9U9accnvMykARUEZEtwN1ACQBVfQZYiGs6uh7XfPSKYw3eFAHDh7urgVtucRXIAZaTGpMvVN2Pm1Gj4Kuv3ORMU6dCPg8LkZ/CbTV0JZAIvOc9TsIVG9URkfGqOj3rE1S1b24v6LUWGh5+qKZIEnG9KBs3dk1KU1JcsZExkejTT90cHB98AKefDjNnQu/erlK4EAs3uuJAfVXtqao9gQa4OoLzAJt5xJyYatVcC6IVK2DcuKCjMebYrV0LPXpAYqLrBzBxInz9NVx2WaFPAhB+Iqihqj+GPP7JW7YLyMj/sEzU6d7djUz64INuLCJjIsHWrTBkiBsO4t13XWu49evdYHElSgQdXdjCLRpKFpE3cB3LAHp6y8oAu/0IzEShxx6D5GQ3MN0XX0CFCkFHZEz2fvwRHnrINXI4eNANDDd6dMROvhTuFcFw3JARzbzbNGC4qv6mqhf5EpmJPmXLwowZsGUL3HBD0NEYc7QdO1xnyDp1XE/gPn1cUdBjj0VsEoAwrwi8it253s0Y/7Rs6dpY33MPdOoEf/tb0BEZ4+YG+Pe/OTRhArJvH9KvH4wdC/HxQUeWL/Kaj+AjVb1ARH7FVQ4fXoXLD+V9jc5EpzFj4H//g2uugfPPh+rVg47IRKvdu92v/UcfhV9/ZWtiIjPPPJMLhgwhsYgkAci7Q9kF3t9yqlo+5FbOkoDxTfHirogoPR0GD4ZDh4KOyESbPXvg3ntdEdA990DbtnwxbRr1Vqxg1NSptGnThpSUlKCjzDd51hGISIyIrC2IYIw57IwzXBnsokWu97ExBWHHDrjrLqhVy/39y1/g889h7lwWbt5Meno6h3yaQD5IeSYCVT0IfCMiNQsgHmP+9Pe/u844o0e7jmbG+GXbNte7vVYtuO8+Nzro8uVudNxmzQBISkoiNjaWmJgYYn2YQD5I4TYfrQSsFpHPgN8yF6pqF1+iMgZcr+Nnn4Vly1zrjJUrC90YLSbCbdzomoFOnuyagfbt62YKa9DgqE0TExOZPn06S5YsoUePHvk+gXyQwk0Ed/kahTE5qVABZs2CVq3cFcJ//2ujlJoT9803bjTQGTMgJsbVRY0cCXVzH0uzV69e9OpV9KZrD7f56PuZ90WkCrDTa1JqjP9atHC/2m6+2XXdv+66oCMykSolBR5+GF59FeLiXEewW29106dGsbwmpmkpIski8l8ROVtEVgGrgB9FJLf5iI3JXzfeCJ07u3LcFSuCjsZEkoMHYd48d1V5/vnw3ntw552uWOjRR6M+CUDelcVPAvcDLwOLgatU9RTgL8ADPsdmzJ9EYMoUOPlkN5DXr78GHZEp7Pbvh2eecUObd+/uKoQffxw2b3ZNQ08+OegIC428EkFxVX1bVecAP6jqpwCqas1JTcGrXBleeglSU+Hqq92478ZklZbm2v7XrAnXXvtnPdO6da4oqEyZoCMsdPJKBKE9efZnWWf/habgXXihG+Hx5ZfhqaeCjsYUJqtWuR8INWu64cxbtoT334fPPnNDlRQPt21M9MnryDQVkV9wQ0qU8u7jPY7zNTJjcnLHHW4CkBtvdG28W7UKOiITlIMH4fXXXZHPe++5CuD+/V3DApvtLmy5JgJVjSmoQIwJW7Fibi7YFi1ch7Ply93kNiZ67NoFzz/vWpFt2uSuAh56yM1pUbly0NFFnMI/dY4x2alY0fUp2LPHJYP09KAjMgUhs/inevU/h4N+5RXYsME9tiRwXCwRmMjVuLH7Vfjxx64tuCma/vjD1QklJbnPfNo06NfPTV703ntuikgr/z8hdvRMZOvTx1UGPvooJCTAwIFBR2Tyy7p1MGmSaza8Y4fr9WvFP76wRGAi30MPuREihwxxJ4sLLgg6InO80tNd56///AcWL3a/9Lt2dcVBbdpExETwkcgSgYl8JUq4cuKWLV3HoSVL8hwzxhQyGza4AQZfeAF++glq13ajgF5xhTUEKACWCEzRcNJJsGABnHeem+IyJcVVKJvCa+9el8BfeMG194+Jgb/+1f36b9vWPTYFwtfrLBHpICLfiMh6ERmVzfpaIrJIRL70xjSyOQnN8YuPdy2JNmxwLYkyMoKOyGSlCh9+6EaSrVbNjfq5dasb8mHTJjcYXIcOlgQKmG+JQERigInApUADoK+IZB3k+2Fgmqo2AcZj4xeZE5WU5MqX333XzXlsw1AUDt9/70728fFu1q85c1xv3w8/hG+/dZMP2eBvgfGzaOhcYL2qpgKIyEygK7AmZJsGwM3e/feAeT7GY6LFFVfAd9/BP/4BVaq4ymRT8H77zc3w9cILbspRVbjoIhg7Fnr2tDF/ChE/E8FpwOaQx1uA87Js8wXQA5gAdAfKiUhlVd0ZupGIDAWGAtSsaTNmmjDccw/s3An//Kdranj77UFHFB0yMuCdd9zggPPmuWRQuzbcfbdr2lunTtARmmwEXVl8K/CkiAwGPgC2AgezbqSqk4BJAAkJCXatb/ImAk884YYiGDnSJYMrrww6qqJJ1VXOv/gizJ7t2vxXquQ6fV1+uRso0Jp9Fmp+JoKtQI2Qx9W9ZYep6jbcFQEiUhboqaq7fYzJRJNixWDqVNi92/UxyJyS0OSP1avdL/+XXnKTvMTFQZcuLgG0bw8lSwYdoQmTn4lgKRAvInVwCaAPcHnoBt60l7tU9RBwBzDZx3hMNIqNdS2JunVzLVUOHICrrgo6qsi1aZMb2//FF+HLL12ybdvWFcV17w7lygUdoTkOviUCVT0gItcBbwExwGRVXS0i44FlqjofSAIeEBHFFQ0N9yseE8VKlXKVlt27uyuDAwdciyITnk2bXCufOXPccB7g+mtMmOBmi/u//ws2PnPCfK0jUNWFwMIsy8aG3J8LzPUzBmMAV2wxb55rrXLttfDzzzBqlKtLMEfL7uR/zjnwwAOuj8bppwcbn8lXQVcWG1NwSpZ0PVkHD3aTl3//vatQtpErnZxO/g8+CL162cm/CLP/ABNdSpZ05ds1a7qmpVu2uCGOy5YNOrJgZHfyb97cTv5RxhKBiT7FirlOZjVrwg03uPLuV16Bs84KOjL/qcKaNW4oh1dfhRUr3PLMk3/v3jZgXxSyRGCi1/DhcOaZ0Levm/byhRfcr+Ci5tAh92s/8+S/bp1bnpjoEmKvXnbyj3KWCEx0u+QS96u4d293GzwYHnsMKlQIOrITk54OycnuxP/aa7B9u6sLufhiN7F71642vLM5zBKBMTVqwAcfwPjxrlXMu++6sfE7dAg6smPz88/w1lvwxhvutmcPlC4Nl17qms526mRDc5tsWSIwBlzHs3vvdT1jBw1yJ8/OneHf/4Z69YKOLnuqbjL3BQvc7ZNPXDFQlSpuHt/u3d0VT6lSQUdqCjlLBKZISU1NBaDu8ZZ5n3surFzpOkvdey80auR6It92W+EYMG3PHjeJy5tvwsKFrgkswNlnuyaxnTq5+g4bz98cA0sExmRVsqQbrXTgQBg3Dp57zk2i3qeP64x2/vkF1xFt/374+GM3f++iRbBsmfvVX6aMG9rhrrugY0c49dSCiccUSZYITJGyYsUKlixZQo8ePUhMTDyxFzvlFHjmGXeyfeQRN+HNiy+6yVX693cn4HPOyb+RNVXd4G2ffurmXf70U/j8c1fxW7y4a+Y6erSbxL1lSxvUzeQb0QibwSkhIUGXLVsWdBimEEpJSeHiiy8mPT2dkiVLsmjRohNPBqEy59idMsW1yAGoWtXNuHX22dCsGZxxhptpy+ugdtl/UgCYdbUXh6qr1N261XVmW7fOtetfs8aN5rlrl9uuVClISHAn/4suckM524Bu5gSIyHJVTchunV0RmCIjOTmZ9PR0Dh06RHp6OsnJyfmbCMqWdRXJgwbBTz/B22+7VjopKS5BhCpXDsqU4Yl0OFC8BNyHm6Rl7173Cz9UxYrQsKFrz9+0qWvf36gRlCiRf7EbkwtLBKbISEpKIjY2loyMDGJjY0lKSvJvZyef7IqH+vd3j3/5xQ3LvGmT+6W/fTvs38/XX26m+IEMTm1U3ZXrlynjipxOO83d6tZ1j23wOxMgKxoyRcrcuXPzr44gHxxVNGRMQKxoyESNXr160asoDhNhjI9sIlFjjIlylgiMMSbKWSIwxpgoZ4nAGGOinCUCY4yJcpYIjDEmylkiMMaYKGeJwBhjopwlAmOMiXK+JgIR6SAi34jIehEZlc36miLynoh8LiJfikhHP+MxxhhzNN8SgYjEABOBS4EGQF8RaZBlszHAbFU9G+gDPOVXPMYYY7Ln5xXBucB6VU1V1XRgJtA1yzYKlPfuVwC2+RiPMcaYbPiZCE4DNoc83uItCzUO6C8iW4CFwPXZvZCIDBWRZSKyLC0tzY9YjTEmagVdWdwXmKKq1YGOwHQROSomVZ2kqgmqmlC1atUCD9IYY4oyPxPBVqBGyOPq3rJQVwKzAVQ1BYgDqvgYkzHGmCz8TARLgXgRqSMisbjK4PlZtvkeaAMgIvVxicDKfowxpgD5lghU9QBwHfAW8DWuddBqERkvIl28zW4BhojIF8DLwGCNtCnTjDEmwvk6Q5mqLsRVAocuGxtyfw3Qys8YjDHG5C7oymJjjDEBs0RgjDFRzhKBMcZEOUsExhgT5SwRGGNMlLNEYIwxUc4SgTHGRDlLBMYYE+UsERhjTJSzRGCMMVHOEoExxkQ5SwTGGBPlLBEYY0yUs0RgjDFRzhKBMcZEOUsExuST1NRUUlNTgw7DmGNmicAYY6KcJQJj8smKFSt4+umnSUlJCToUY46Jr1NVGhMtUlJSGDBgAOnp6UycOJFFixaRmJgYdFjGhMWuCIzJB8nJyaSnp3Po0CHS09NJTk4OOiRjwmaJwJh8kJSURGxsLDExMcTGxpKUlBR0SMaEzYqGjMkHiYmJTJ8+nSVLltCjRw8rFjIRxRKBMfmkV69e9OrVK+gwjDlmvhYNiUgHEflGRNaLyKhs1j8qIiu927cistvPeIwxxhzNtysCEYkBJgJtgS3AUhGZr6prMrdR1ZtCtr8eONuveIwxxmTPzyuCc4H1qpqqqunATKBrLtv3BV72MR5jjDHZ8DMRnAZsDnm8xVt2FBGpBdQBFuewfqiILBORZWlpafkeqDHGRLPC0ny0DzBXVQ9mt1JVJ6lqgqomVK1atYBDM8aYos3PRLAVqBHyuLq3LDt9sGIhY4wJhJ+JYCkQLyJ1RCQWd7Kfn3UjETkLqATYAC3GGBMA3xKBqh4ArgPeAr4GZqvqahEZLyJdQjbtA8xUVfUrFmOMMTnztUOZqi4EFmZZNjbL43F+xmCMMSZ3Emk/xEUkDdgUdBzHqQqwI+ggCjk7RnmzY5Q3O0ZHq6Wq2ba2ibhEEMlEZJmqJgQdR2FmxyhvdozyZsfo2BSW5qPGGGMCYonAGGOinCWCgjUp6AAigB2jvNkxypsdo2NgdQTGGBPl7IrAGGOinCWCfHIicy+IyCARWefdBhVo4AXoBI/RwZB1R/VQLyrCOEY1ReQ9EflcRL4UkY4h6+7wnveNiLQv2MgLzvEeIxGpLSL7Q75HzxR89IWUqtrtBG9ADLABqAvEAl8ADXLZ/npgsnf/JCDV+1vJu18p6PdUmI6R93hv0O+hMBwjXNn3td79BsDGkPtfACVxI/luAGKCfk+F7BjVBlYF/R4K482uCPLHicy90B54R1V3qerPwDtAB1+jDYbNT5G3cI6RAuW9+xWAbd79rrihWv5Q1e+A9d7rFTUncoxMDiwR5I8TmXsh7OdGuBOdnyLOm5PiUxHp5luUwQrnGI0D+ovIFtzwLdcfw3OLghM5RgB1vCKj90XkQl8jjSCWCApernMvGCD7Y1RLXU/Ry4HHROT0YEILXF9giqpWBzoC00XE/o+PlNMx2g7UVNWzgZuBl0SkfC6vEzXsC5Q/TmTuhWN5biQ7ofkpVHWr9zcVSKZozm8dzjG6EpgNoKopQBxuXB37Hv0p22PkFZvt9JYvx9U11PM94ghgiSB/nMjcC28B7USkkohUAtp5y4qa4z5G3rEp6d2vArQC1hRI1AUrnGP0PdAGQETq405yad52fUSkpIjUAeKBzwos8oJz3MdIRKqKSIy3vC7uGKUWWOSFmK/DUEcLVT0gIplzL8TgWrusFpHxwDJVzfyiHjX3gqruEpF/4L7gAONVdVdBxl8QTuQYAfWB/4jIIdyPlwdVtcglgjCP0S3AsyJyE65SdLB3rFaLyGxcgjwADC+KxY8ncoxE5C/AeBHJAA4B1xTF/7XjYT2LjTEmylnRkDHGRDlLBMYYE+UsERhjTJSzRGCMMVHOEoExxkQ5SwTG5EBEKoeMVPmDiGz17u8VkaeCjs+Y/GLNR40Jg4iMw42A+nDQsRiT3+yKwJhjJCJJIvKGd3+ciEwVkQ9FZJOI9BCRf4rIVyLyPxEp4W3X3BvobLmIvCUi1YJ9F8b8yRKBMSfudOBioAswA3hPVRsD+4FOXjJ4Auilqs2BycB9QQVrTFY2xIQxJ+5NVc0Qka9wwx78z1v+FW4ylDOBRsA7IoK3zfYA4jQmW5YIjDlxfwCo6iERyQgZJ+kQ7n9MgNWqmhhUgMbkxoqGjPHfN0BVEUkEEJESItIw4JiMOcwSgTE+86ZU7AU8JCJfACuB8wMNypgQ1nzUGGOinF0RGGNMlLNEYIwxUc4SgTHGRDlLBMYYE+UsERhjTJSzRGCMMVHOEoExxkQ5SwTGGBPl/h8UwMdqBqdDjQAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Fitting cycles: 95%|█████████████████████████████▎ | 54/57 [00:13<00:00, 4.11it/s]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Done!\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n"
]
}
],
"source": [
"mintimes,mintimes_err = fitter.fit_minima(fittype='nonparametric',\n",
" phase_interval=0.3,\n",
" smoothness=1,\n",
"\n",
" showfirst=True)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Calculating O-C...\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"midtimes, OC, OC_err = fitter.calculate_OC(showplot=True)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "seismolab",
"language": "python",
"name": "seismolab"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 4
}