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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# TESS Atlas fit for TOI {{{TOINUMBER}}}\n",
"\n",
"**Version: {{{VERSIONNUMBER}}}**\n",
"\n",
"**Note: This notebook was automatically generated as part of the TESS Atlas project. More information can be found on GitHub:** [github.com/dfm/tess-atlas](https://github.com/dfm/tess-atlas)\n",
"\n",
"In this notebook, we do a quicklook fit for the parameters of the TESS Objects of Interest (TOI) in the system number {{{TOINUMBER}}}.\n",
"To do this fit, we use the [exoplanet](https://exoplanet.dfm.io) library and you can find more information about that project at [exoplanet.dfm.io](https://exoplanet.dfm.io).\n",
"\n",
"From here, you can scroll down and take a look at the fit results, or you can:\n",
"\n",
"- [open the notebook in Google Colab to run the fit yourself](https://colab.research.google.com/github/dfm/tess-atlas/blob/gh-pages/notebooks/{{{VERSIONNUMBER}}}/toi-{{{TOINUMBER}}}.ipynb),\n",
"- [view the notebook on GitHub](https://github.com/dfm/tess-atlas/blob/gh-pages/notebooks/{{{VERSIONNUMBER}}}/toi-{{{TOINUMBER}}}.ipynb), or\n",
"- [download the notebook](https://github.com/dfm/tess-atlas/raw/gh-pages/notebooks/{{{VERSIONNUMBER}}}/toi-{{{TOINUMBER}}}.ipynb).\n",
"\n",
"\n",
"\n",
"## Caveats\n",
"\n",
"There are many caveats associated with this relatively simple \"quicklook\" type of analysis that should be kept in mind.\n",
"Here are some of the main things that come to mind:\n",
"\n",
"1. The orbits that we fit are constrained to be *circular*. One major effect of this approximation is that the fit will significantly overestimate the confidence of the impact parameter constraint, so the results for impact parameter shouldn't be taken too seriously. \n",
"\n",
"2. Transit timing variations, correlated noise, and (probably) your favorite systematics are ignored. Sorry!\n",
"\n",
"3. This notebook was generated automatically without human intervention. Use at your own risk!\n",
"\n",
"## Table of Contents\n",
"\n",
"1. [Getting started](#Getting-started)\n",
"2. [Data & de-trending](#Data-%26amp%3B-de-trending)\n",
"3. [Removing stellar variability](#Removing-stellar-variability)\n",
"4. [Transit model in PyMC3 & exoplanet](#Transit-model-in-PyMC3-%26amp%3B-exoplanet)\n",
"5. [Sampling](#Sampling)\n",
"6. [Posterior constraints](#Posterior-constraints)\n",
"7. [Attribution](#Attribution)\n",
"\n",
"## Getting started\n",
"\n",
"To get going, we'll need to make out plots show up inline and install a few packages:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"!pip install -q -U lightkurve fbpca exoplanet corner pymc3 dynesty isochrones"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then we'll set up the plotting styles and do all of the imports:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use(\"default\")\n",
"\n",
"from matplotlib import rcParams\n",
"rcParams[\"savefig.dpi\"] = 100\n",
"rcParams[\"figure.dpi\"] = 100\n",
"rcParams[\"font.size\"] = 16\n",
"rcParams[\"text.usetex\"] = False\n",
"rcParams[\"font.family\"] = [\"sans-serif\"]\n",
"rcParams[\"font.sans-serif\"] = [\"cmss10\"]\n",
"rcParams[\"axes.unicode_minus\"] = False\n",
"\n",
"import warnings\n",
"warnings.filterwarnings(\"ignore\", category=DeprecationWarning)\n",
"warnings.filterwarnings(\"ignore\", category=FutureWarning)\n",
"import logging\n",
"logger = logging.getLogger(\"theano.gof.compilelock\")\n",
"logger.setLevel(logging.ERROR)\n",
"\n",
"import os\n",
"import time\n",
"import corner\n",
"import numpy as np\n",
"import pandas as pd\n",
"import lightkurve as lk\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import astropy.units as u\n",
"from astropy.coordinates import SkyCoord\n",
"from astroquery.gaia import Gaia\n",
"from astroquery.mast import Catalogs\n",
"\n",
"import dynesty\n",
"import isochrones\n",
"\n",
"import pymc3 as pm\n",
"import exoplanet as xo\n",
"import theano.tensor as tt\n",
"\n",
"__version__ = \"0.1.0.dev0\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Fitting stellar parameters\n",
"\n",
"Start with the planet parameters Bedell sent:"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"periods = np.array([17.47114])\n",
"t0s = np.array([1661.0628])\n",
"depths = 1e3 * np.array([0.0328])**2\n",
"durations = np.array([3.0]) / 24.0\n",
"letters = \"bcdefghijklmnopqrstuvwxyz\"[:len(periods)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Query the TIC for the coordinates of ths star:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ID 320004517\n",
"ra 293.286\n",
"dec -54.5324\n",
"pmRA 108.439\n",
"pmDEC -82.6324\n",
"Tmag 8.0888\n",
"objType STAR\n",
"typeSrc tmgaia2\n",
"version 20190415\n",
"HIP 96160\n",
"TYC 8765-00100-1\n",
"UCAC 178-223716\n",
"TWOMASS 19330857-5431564\n",
"SDSS NaN\n",
"ALLWISE J193308.72-543157.3\n",
"GAIA 6641996571978861440\n",
"APASS 25476285\n",
"KIC NaN\n",
"POSflag tmgaia2\n",
"e_pmRA 0.0738186\n",
"e_pmDEC 0.0520038\n",
"PMflag gaia2\n",
"plx 17.434\n",
"e_plx 0.0565783\n",
"PARflag gaia2\n",
"gallong 343.062\n",
"gallat -27.6991\n",
"eclong 285.757\n",
"eclat -32.3596\n",
"Bmag 9.334\n",
" ... \n",
"eneg_rho 0.204907\n",
"epos_rho 0.335408\n",
"eneg_logg 0.0753043\n",
"epos_logg 0.0934787\n",
"eneg_lum 0.0281419\n",
"epos_lum 0.0244131\n",
"eneg_dist 0.1864\n",
"epos_dist 0.1875\n",
"distflag bj2018\n",
"eneg_Teff 129.995\n",
"epos_Teff 162.423\n",
"TeffFlag spect\n",
"gaiabp 8.86003\n",
"e_gaiabp 0.001175\n",
"gaiarp 8.04736\n",
"e_gaiarp 0.001907\n",
"gaiaqflag 1\n",
"starchareFlag NaN\n",
"VmagFlag hipvmag\n",
"BmagFlag apassdr9\n",
"splists NaN\n",
"e_RA 1.2877\n",
"e_Dec 0.806864\n",
"RA_orig 293.287\n",
"Dec_orig -54.5327\n",
"e_RA_orig 0.0351782\n",
"e_Dec_orig 0.0360272\n",
"raddflag 1\n",
"wdflag 0\n",
"dstArcSec 1.31445e-05\n",
"Name: 0, Length: 125, dtype: object\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/dforeman/anaconda3/lib/python3.6/site-packages/IPython/core/interactiveshell.py:3291: TableReplaceWarning: converted column 'numcont' from integer to float\n",
" exec(code_obj, self.user_global_ns, self.user_ns)\n"
]
}
],
"source": [
"toi_num = \"BEDELL\"\n",
"# toi_num = 144\n",
"output_dir = os.path.join(\"results\", __version__, \"{0}\".format(toi_num))\n",
"os.makedirs(output_dir, exist_ok=True)\n",
"\n",
"tic = Catalogs.query_object(\"TIC 320004517\", catalog=\"TIC\", radius=0.02).to_pandas().iloc[0]\n",
"print(tic)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then we cross match to Gaia and fit the stellar parameters using parallax and Gaia BP-RP magnitudes as constraints for [isochrones.py](https://isochrones.readthedocs.io):"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Query finished.\n",
"Distance to Gaia source: 2.1157149112423888 arcsec\n",
"{'G': array([8.51548767e+00, 2.58685399e-04]), 'BP': array([8.86003304e+00, 1.17458825e-03]), 'RP': array([8.04736233e+00, 1.90724501e-03]), 'parallax': array([17.51601334, 0.06549889]), 'max_distance': 114.18123296070118}\n"
]
}
],
"source": [
"coord = SkyCoord(ra=tic.ra, dec=tic.dec, unit=(u.deg, u.deg))\n",
"radius = u.Quantity(20, u.arcsec)\n",
"j = Gaia.cone_search_async(coord, radius)\n",
"r = j.get_results()[0]\n",
"\n",
"print(\"Distance to Gaia source:\", (r[\"dist\"]*u.deg).to(u.arcsec))\n",
"\n",
"# Parallax offset reference: https://arxiv.org/abs/1805.03526\n",
"plx = r[\"parallax\"] + 0.082\n",
"plx_err = np.sqrt(r[\"parallax_error\"] ** 2 + 0.033 ** 2)\n",
"if not (np.isfinite(plx) and np.isfinite(plx_err)):\n",
" print(\"non finite parallax: {0}\".format(kicid))\n",
" assert 0\n",
"\n",
"factor = 2.5 / np.log(10)\n",
"params = {}\n",
"for band in [\"G\", \"BP\", \"RP\"]:\n",
" mag = float(r[\"phot_{0}_mean_mag\".format(band.lower())])\n",
" err = float(r[\"phot_{0}_mean_flux_error\".format(band.lower())])\n",
" err /= float(r[\"phot_{0}_mean_flux\".format(band.lower())])\n",
" err *= factor\n",
" if not (np.isfinite(mag) and np.isfinite(err)):\n",
" print(\"non finite params: {0}\".format(kicid))\n",
" assert 0\n",
" params[band] = (mag, err)\n",
"jitter_vars = list(sorted(params.keys()))\n",
"params[\"parallax\"] = (float(plx), float(plx_err))\n",
"for k, v in params.items():\n",
" params[k] = np.array(v, dtype=np.float64)\n",
"if params[\"parallax\"][0] > 0:\n",
" params[\"max_distance\"] = np.clip(2000 / plx, 100, np.inf)\n",
"print(params)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Run the fit using isochrones, [dynesty](https://dynesty.readthedocs.io), and the constraints listed above:"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"iter: 12166 | +500 | bound: 349 | nc: 1 | ncall: 301649 | eff(%): 4.199 | loglstar: -inf < -3.865 < inf | logz: -27.656 +/- 0.310 | dlogz: 0.001 > 0.509 "
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Sampling took 4.771051049232483 minutes\n"
]
}
],
"source": [
"# Set up an isochrones model using the MIST tracks\n",
"mist = isochrones.get_ichrone(\"mist\", bands=[\"G\", \"BP\", \"RP\"])\n",
"mod = isochrones.SingleStarModel(mist, **params)\n",
"\n",
"# These functions wrap isochrones so that they can be used with dynesty:\n",
"def prior_transform(u):\n",
" cube = np.copy(u)\n",
" mod.mnest_prior(cube[: mod.n_params], None, None)\n",
" cube[mod.n_params :] = -10 + 20 * cube[mod.n_params :]\n",
" return cube\n",
"\n",
"def loglike(theta):\n",
" ind0 = mod.n_params\n",
" lp0 = 0.0\n",
" for i, k in enumerate(jitter_vars):\n",
" err = np.sqrt(params[k][1] ** 2 + np.exp(theta[ind0 + i]))\n",
" lp0 -= 2 * np.log(err) # This is to fix a bug in isochrones\n",
" mod.kwargs[k] = (params[k][0], err)\n",
" lp = lp0 + mod.lnpost(theta[: mod.n_params])\n",
" if np.isfinite(lp):\n",
" return np.clip(lp, -1e10, np.inf)\n",
" return -1e10\n",
"\n",
"# Run nested sampling on this model\n",
"sampler = dynesty.NestedSampler(\n",
" loglike, prior_transform, mod.n_params + len(jitter_vars)\n",
")\n",
"strt = time.time()\n",
"sampler.run_nested()\n",
"print(\"Sampling took {0} minutes\".format((time.time() - strt) / 60.0))\n",
"\n",
"# Resample the chain to get unit weight samples and update the isochrones\n",
"# model\n",
"results = sampler.results\n",
"samples = dynesty.utils.resample_equal(\n",
" results.samples, np.exp(results.logwt - results.logz[-1])\n",
")\n",
"df = mod._samples = pd.DataFrame(\n",
" dict(\n",
" zip(\n",
" list(mod.param_names) + [\"log_jitter_\" + k for k in jitter_vars],\n",
" samples.T,\n",
" )\n",
" )\n",
")\n",
"mod._derived_samples = mod.ic(*[df[c].values for c in mod.param_names])\n",
"mod._derived_samples[\"parallax\"] = 1000.0 / df[\"distance\"]\n",
"mod._derived_samples[\"distance\"] = df[\"distance\"]\n",
"mod._derived_samples[\"AV\"] = df[\"AV\"]"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Extract a Gaussian approximation to the mass and radius\n",
"log_mass = np.log(np.array(mod._derived_samples.mass))\n",
"log_radius = np.log(np.array(mod._derived_samples.radius))\n",
"samples = np.vstack((log_mass, log_radius))\n",
"log_mass_radius_mu = np.mean(samples, axis=1)\n",
"log_mass_radius_cov = np.cov(samples)\n",
"\n",
"# Plot this approximation in 2D\n",
"fig, ax = plt.subplots(figsize=(5, 5))\n",
"corner.hist2d(log_mass, log_radius, ax=ax)\n",
"\n",
"# Plot the 1 and 2 \"sigma\" levels of the Gaussian as ellipses\n",
"vals, vecs = np.linalg.eig(log_mass_radius_cov)\n",
"vals = np.sqrt(vals)\n",
"theta = np.degrees(np.arctan2(*vecs[:,0][::-1]))\n",
"for n in [1, 2]:\n",
" ellipse = matplotlib.patches.Ellipse(\n",
" xy=log_mass_radius_mu, width=vals[0]*2*n, height=vals[1]*2*n, angle=theta)\n",
" ellipse.set_facecolor(\"none\")\n",
" ellipse.set_edgecolor(\"C1\")\n",
" ax.add_artist(ellipse)\n",
"\n",
"ax.plot(log_mass_radius_mu[0], log_mass_radius_mu[1], \"o\", color=\"C1\")\n",
"ax.set_xlabel(\"ln(mass)\")\n",
"ax.set_ylabel(\"ln(radius)\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Light curve pre-processing\n",
"\n",
"Then we use the [lightkurve](https://docs.lightkurve.org) library to download and de-trend the time series using [pixel-level decorrelation (PLD)](https://docs.lightkurve.org/api/lightkurve.correctors.PLDCorrector.html).\n",
"We read in target pixel files (TPFs) for each of the campaigns in which TOI {{{TOINUMBER}}} was observed.\n",
"To remove systematic noise, we mask out known transits and perform second order PLD. The noise-corrected light curves are stitched together to create a single contiguous light curve."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 848.5x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Download the target pixel files\n",
"sr = lk.search_lightcurvefile('TIC {0}'.format(tic.ID))\n",
"lc_collection = sr.download_all(quality_bitmask=\"hardest\")\n",
"if lc_collection is None or not len(lc_collection):\n",
" raise ValueError(\"we can't find any light curves\")\n",
"\n",
"# Extract the exposure time associated with the light curve\n",
"hdr = lc_collection[0].hdu[1].header\n",
"texp = hdr[\"FRAMETIM\"] * hdr[\"NUM_FRM\"]\n",
"texp /= 60.0 * 60.0 * 24.0\n",
"\n",
"# Loop over light curves and stitch\n",
"lc = lc_collection[0].PDCSAP_FLUX.remove_nans().normalize().remove_outliers()\n",
"for lc0 in lc_collection[1:]:\n",
" lc = lc.append(lc0.PDCSAP_FLUX.remove_nans().normalize().remove_outliers())\n",
" \n",
"# Extract the data and convert to parts per thousand\n",
"x = np.ascontiguousarray(lc.time, dtype=np.float64)\n",
"y_raw = np.ascontiguousarray((lc.flux - 1.0) * 1e3, dtype=np.float64)\n",
"yerr = np.ascontiguousarray(lc.flux_err * 1e3, dtype=np.float64)\n",
"\n",
"# This helper function shows the transit times\n",
"def indicate_transits(ax=None):\n",
" if ax is None:\n",
" ax = plt.gca()\n",
" for i in range(len(periods)):\n",
" mn = np.floor((x.min() - t0s[i]) / periods[i])\n",
" mx = np.ceil((x.max() - t0s[i]) / periods[i])\n",
" label = \"planet {0}\".format(letters[i])\n",
" for ind in np.arange(mn, mx + 1):\n",
" ax.axvline(t0s[i] + ind * periods[i], color=\"C{0}\".format(i),\n",
" linewidth=1, alpha=0.4, label=label)\n",
" label = None\n",
"\n",
"# Plot the data\n",
"lc.scatter()\n",
"indicate_transits()\n",
"plt.legend(fontsize=10)\n",
"plt.xlim(x.min(), x.max());"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Removing stellar variability\n",
"\n",
"Next up, we remove stellar variability using a Gaussian Processes model fit to the out of transit data."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"optimizing logp for variables: ['logs2']\n",
"message: Optimization terminated successfully.\n",
"logp: -15479.735777694032 -> -15465.402449932602\n",
"optimizing logp for variables: ['logsigma']\n",
"message: Optimization terminated successfully.\n",
"logp: -15465.402449932602 -> -15183.24895442118\n",
"optimizing logp for variables: ['logrho']\n",
"message: Optimization terminated successfully.\n",
"logp: -15183.24895442118 -> -15183.071748757027\n",
"optimizing logp for variables: ['logrho', 'logsigma', 'logs2']\n",
"message: Optimization terminated successfully.\n",
"logp: -15183.071748757027 -> -15157.115161157104\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1200x800 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# This function can be used to estimate which data points are in transit\n",
"# for known phase, period, and duration\n",
"def get_transit_mask(t, t0, period, duration):\n",
" hp = 0.5*period\n",
" return np.abs((t-t0+hp) % period - hp) < 0.5*duration\n",
"\n",
"# Compute the transit mask\n",
"mask = np.zeros_like(x, dtype=bool)\n",
"for i in range(len(periods)):\n",
" mask |= get_transit_mask(x, t0s[i], periods[i], 5*durations[i])\n",
"\n",
"# Temporarily increase the in transit error bars substantially\n",
"diag = np.array(yerr**2)\n",
"diag[mask] += 10000.0\n",
"\n",
"# Build a GP model\n",
"with pm.Model() as model:\n",
" logs2 = pm.Normal(\"logs2\", mu=np.log(1e-4*np.var(y_raw)), sd=10)\n",
" logsigma = pm.Normal(\"logsigma\", mu=np.log(np.std(y_raw)), sd=10)\n",
" logrho = pm.Normal(\"logrho\", mu=np.log(10.0), sd=10.0)\n",
" \n",
" kernel = xo.gp.terms.Matern32Term(log_sigma=logsigma, log_rho=logrho)\n",
" gp = xo.gp.GP(kernel, x, diag + tt.exp(logs2))\n",
" pm.Potential(\"loglike\", gp.log_likelihood(y_raw))\n",
" \n",
" map_soln = xo.optimize(vars=[logs2])\n",
" map_soln = xo.optimize(map_soln, vars=[logsigma])\n",
" map_soln = xo.optimize(map_soln, vars=[logrho])\n",
" map_soln = xo.optimize(map_soln)\n",
" gp_pred = xo.utils.eval_in_model(gp.predict(), map_soln)\n",
"\n",
"# Flatten the light curve\n",
"y = y_raw - gp_pred\n",
"\n",
"# Plot the light curves\n",
"fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True, figsize=(12, 8))\n",
"ax1.plot(x, y_raw, \".k\", label=\"data\")\n",
"ax1.plot(x, gp_pred, \"g\", label=\"gp model\")\n",
"\n",
"ax2.plot(x, y, \".k\", label=\"de-trended data\")\n",
"\n",
"indicate_transits(ax1)\n",
"indicate_transits(ax2)\n",
"\n",
"ax1.set_title(\"stellar variability fit\")\n",
"ax1.set_ylabel(\"flux [ppt]\")\n",
"ax2.set_ylabel(\"de-trended flux [ppt]\")\n",
"ax2.set_xlabel(\"time [days]\")\n",
"ax2.set_xlim(x.min(), x.max())\n",
"\n",
"ax1.legend(fontsize=10)\n",
"fig.subplots_adjust(hspace=0.05);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Transit model in PyMC3 & exoplanet\n",
"\n",
"Here's how we set up the transit model using [exoplanet](https://exoplanet.dfm.io) and [PyMC3](https://docs.pymc.io).\n",
"For more information about how to use these libraries take a look at the docs that are linked above.\n",
"In this model, the parameters that we're fitting are:\n",
"\n",
"* `mean`: the mean (out-of-transit) flux of the star,\n",
"* `r_star`: the radius of the star (with the prior from the TOI list),\n",
"* `log_rho_star`: the log of stellar density (this will be constrained, correctly, by the logg value in the TOI list),\n",
"* `u`: the quadratic limb darkening parameters, parameterized following [Kipping (2013)](https://arxiv.org/abs/1308.0009)\n",
"* `t0`: the time of a reference transit for each planet,\n",
"* `logP`: the log of the orbital periods,\n",
"* `r`: the planet radius ratios (relative to the star),\n",
"* `b`: the impact parameter in units of the stellar radius, `b` and `r` are both parameterized following [Espinoza (2018)](https://iopscience.iop.org/article/10.3847/2515-5172/aaef38/meta), and\n",
"* `logs2`: a jitter parameter that captures excess noise or underrestimated error bars.\n",
"\n",
"A few key assumptions include:\n",
"\n",
"* The orbits are assumed to be circular so the constraints on impact parameter (which would be severely degenerate with eccentricity) will be tighter than they should be.\n",
"* The noise is assumed to be Gaussian and independent. This means that all correlated noise should be removed in advance. Since we flattened the light curve using a Gaussian process above, this should be not totally unreasonable.\n",
"* We are neglecting transit times (the ephemeris is assumed to be linear) which should be sufficient for most cases with the short TESS baseline, but transit timing variations could be important for some targets."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"def build_model(x, y, yerr, periods, t0s, depths, mask=None, start=None):\n",
" \"\"\"Build an exoplanet model for a dataset and set of planets\n",
" \n",
" Args:\n",
" x: The time series (in days); this should probably be centered\n",
" y: The relative fluxes (in parts per thousand)\n",
" yerr: The uncertainties on ``y``\n",
" periods: The periods of the planets (in days)\n",
" t0s: The phases of the planets in the same coordinates as ``x``\n",
" depths: The depths of the transits in parts per thousand\n",
" mask: A boolean mask with the same shape as ``x`` indicating which\n",
" data points should be included in the fit\n",
" start: A dictionary of model parameters where the optimization\n",
" should be initialized\n",
" \n",
" Returns:\n",
" A PyMC3 model specifying the probabilistic model for the light curve\n",
"\n",
" \"\"\"\n",
" if mask is None:\n",
" mask = np.ones(len(x), dtype=bool)\n",
" \n",
" periods = np.atleast_1d(periods)\n",
" t0s = np.atleast_1d(t0s)\n",
" depths = np.atleast_1d(depths)\n",
" n_planets = len(periods)\n",
" \n",
" with pm.Model() as model:\n",
" \n",
" # Extract the un-masked data points\n",
" model.x = x[mask]\n",
" model.y = y[mask]\n",
" model.yerr = (yerr + np.zeros_like(x))[mask]\n",
" model.mask = mask\n",
"\n",
" # The baseline (out-of-transit) flux for the star in ppt. This\n",
" # should be close to one because of how we normalized the data\n",
" mean = pm.Normal(\"mean\", mu=0.0, sd=10.0)\n",
" \n",
" # The stellar properties from above\n",
" log_m_star = pm.Flat(\"log_m_star\", testval=log_mass_radius_mu[0])\n",
" log_r_star = pm.Flat(\"log_r_star\", testval=log_mass_radius_mu[1])\n",
" pm.MvNormal(\"star_prior\", mu=tt.stack(log_m_star, log_r_star),\n",
" chol=np.linalg.cholesky(log_mass_radius_cov),\n",
" observed=log_mass_radius_mu)\n",
" \n",
" m_star = pm.Deterministic(\"m_star\", tt.exp(log_m_star))\n",
" r_star = pm.Deterministic(\"r_star\", tt.exp(log_r_star)) \n",
"\n",
" # The time of a reference transit for each planet\n",
" t0 = pm.Normal(\"t0\", mu=t0s, sd=1.0, shape=n_planets)\n",
"\n",
" # The log period; also tracking the period itself\n",
" log_period = pm.Normal(\"log_period\", mu=np.log(periods), sd=0.1, shape=n_planets)\n",
" period = pm.Deterministic(\"period\", tt.exp(log_period))\n",
"\n",
" # The Kipping (2013) parameterization for quadratic limb darkening paramters\n",
" u = xo.distributions.QuadLimbDark(\"u\")\n",
"\n",
" # The radius ratio\n",
" ror_guess = np.clip(np.sqrt(1e-3*np.array(depths)), 0.001+1e-5, 1.0-1e-5)\n",
" log_ror = pm.Uniform(\"log_ror\", lower=np.log(0.001), upper=0.0,\n",
" testval=np.log(ror_guess), shape=n_planets)\n",
" ror = pm.Deterministic(\"ror\", tt.exp(log_ror))\n",
" r_pl = pm.Deterministic(\"r_pl\", ror * r_star)\n",
" \n",
" # The impact parameter\n",
" b_hat = xo.distributions.UnitUniform(\"b_hat\", shape=n_planets)\n",
" b = pm.Deterministic(\"b\", b_hat * (1 + ror))\n",
"\n",
" # Set up a Keplerian orbit for the planets\n",
" model.orbit = xo.orbits.KeplerianOrbit(\n",
" period=period, t0=t0, b=b, r_star=r_star, m_star=m_star)\n",
" pm.Deterministic(\"rho_star\", model.orbit.rho_star)\n",
" \n",
" # Compute the model light curve using starry\n",
" model.light_curves = xo.StarryLightCurve(u).get_light_curve(\n",
" orbit=model.orbit, r=r_pl, t=model.x)\n",
" model.light_curve = pm.math.sum(model.light_curves, axis=-1) * 1e3 + mean\n",
"\n",
" # Jitter and likelihood function\n",
" log_s2 = pm.Normal(\"log_s2\", mu=np.log(np.mean(model.yerr)), sd=10)\n",
" pm.Normal(\"obs\", mu=model.light_curve, sd=tt.sqrt(model.yerr**2+tt.exp(log_s2)),\n",
" observed=model.y)\n",
"\n",
" # Fit for the maximum a posteriori parameters, I've found that I can get\n",
" # a better solution by trying different combinations of parameters in turn\n",
" if start is None:\n",
" start = model.test_point\n",
" map_soln = start \n",
" map_soln = xo.optimize(start=map_soln, vars=[log_s2, mean])\n",
" map_soln = xo.optimize(start=map_soln, vars=[log_ror, mean])\n",
" map_soln = xo.optimize(start=map_soln, vars=[b_hat, mean])\n",
" map_soln = xo.optimize(start=map_soln, vars=[log_r_star, log_m_star])\n",
" map_soln = xo.optimize(start=map_soln, vars=[log_period, t0, mean])\n",
" map_soln = xo.optimize(start=map_soln, vars=[log_ror, b_hat, mean])\n",
" map_soln = xo.optimize(start=map_soln)\n",
" model.map_soln = map_soln\n",
" \n",
" return model\n",
"\n",
"\n",
"def build_model_sigma_clip(x, y, yerr, periods, t0s, depths, sigma=7.0, maxiter=10, start=None):\n",
" ntot = len(x)\n",
" mask = np.ones_like(x, dtype=bool)\n",
" for i in range(maxiter):\n",
" print(\"*** Sigma clipping round {0} ***\".format(i+1))\n",
" \n",
" # Build the model\n",
" model = build_model(x, y, yerr, periods, t0s, depths, start=start, mask=mask)\n",
" start = model.map_soln\n",
"\n",
" # Compute the map prediction\n",
" with model:\n",
" mod = xo.utils.eval_in_model(model.light_curve, model.map_soln)\n",
" \n",
" # Do sigma clipping\n",
" resid = y[mask] - mod\n",
" rms = np.sqrt(np.mean(resid**2))\n",
" mask[mask] = np.abs(resid) < sigma * rms\n",
" if ntot == mask.sum():\n",
" break\n",
" \n",
" start[\"log_period\"] = np.log(periods)\n",
" start[\"t0\"] = t0s\n",
" ntot = mask.sum()\n",
" \n",
" model.mask = mask\n",
" return model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Using the above function, we'll generate a probabilistic model for the light curve and plot the maximum a posteriori fit."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"tags": [
"fig_init_fit"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"*** Sigma clipping round 1 ***\n",
"optimizing logp for variables: ['mean', 'log_s2']\n",
"message: Optimization terminated successfully.\n",
"logp: -15568.73478415852 -> -10653.247525126555\n",
"optimizing logp for variables: ['mean', 'log_ror_interval__']\n",
"message: Desired error not necessarily achieved due to precision loss.\n",
"logp: -10653.247525126551 -> -10653.108073114045\n",
"optimizing logp for variables: ['mean', 'b_hat_logodds__']\n",
"message: Optimization terminated successfully.\n",
"logp: -10653.108073114045 -> -10651.394002115636\n",
"optimizing logp for variables: ['log_m_star', 'log_r_star']\n",
"message: Desired error not necessarily achieved due to precision loss.\n",
"logp: -10651.394002115636 -> -10651.384273361142\n",
"optimizing logp for variables: ['mean', 't0', 'log_period']\n",
"message: Optimization terminated successfully.\n",
"logp: -10651.384273361142 -> -10650.845693219477\n",
"optimizing logp for variables: ['mean', 'b_hat_logodds__', 'log_ror_interval__']\n",
"message: Desired error not necessarily achieved due to precision loss.\n",
"logp: -10650.845693219477 -> -10650.588192338546\n",
"optimizing logp for variables: ['log_s2', 'b_hat_logodds__', 'log_ror_interval__', 'u_quadlimbdark__', 'log_period', 't0', 'log_r_star', 'log_m_star', 'mean']\n",
"message: Desired error not necessarily achieved due to precision loss.\n",
"logp: -10650.588192338546 -> -10649.256297553018\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model = build_model_sigma_clip(x, y, yerr, periods, t0s, depths)\n",
"\n",
"with model:\n",
" mean = model.map_soln[\"mean\"]\n",
" light_curves = xo.utils.eval_in_model(model.light_curves, model.map_soln)\n",
"\n",
"plt.plot(model.x, model.y - mean, \"k\", label=\"data\")\n",
"for n, l in enumerate(letters):\n",
" plt.plot(model.x, 1e3 * light_curves[:, n], label=\"planet {0}\".format(l), zorder=100-n)\n",
"\n",
"plt.xlabel(\"time [days]\")\n",
"plt.ylabel(\"flux [ppt]\")\n",
"plt.title(\"initial fit\")\n",
"plt.xlim(model.x.min(), model.x.max())\n",
"plt.legend(fontsize=10);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Sampling\n",
"\n",
"Now we use PyMC3 to sample the posterior density for the parameters of this model."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 2 chains: 100%|██████████| 104/104 [00:19<00:00, 5.46draws/s]\n",
"Sampling 2 chains: 100%|██████████| 304/304 [00:47<00:00, 4.41draws/s]\n",
"Sampling 2 chains: 100%|██████████| 604/604 [00:17<00:00, 21.68draws/s]\n",
"Sampling 2 chains: 100%|██████████| 1204/1204 [00:23<00:00, 52.07draws/s]\n",
"Sampling 2 chains: 100%|██████████| 5804/5804 [02:55<00:00, 33.14draws/s]\n",
"Sampling 2 chains: 100%|██████████| 1004/1004 [00:34<00:00, 28.89draws/s]\n",
"Sampling 2 chains: 100%|██████████| 4000/4000 [02:11<00:00, 21.60draws/s]\n",
"WARNING:pymc3:The number of effective samples is smaller than 10% for some parameters.\n"
]
}
],
"source": [
"np.random.seed(123)\n",
"sampler = xo.PyMC3Sampler(window=150, start=50, finish=500)\n",
"with model:\n",
" burnin = sampler.tune(tune=4000, start=model.map_soln,\n",
" step_kwargs=dict(target_accept=0.9),\n",
" chains=2, cores=2)\n",
" trace = sampler.sample(draws=2000, chains=2, cores=2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Save the results of the sampling to a file:"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"df_var = pm.trace_to_dataframe(trace, varnames=trace.varnames)\n",
"df_stat = pd.DataFrame(dict((k, trace[k]) for k in trace.stat_names))\n",
"df_var.to_hdf(os.path.join(output_dir, \"planet.h5\"), \"vars\")\n",
"df_stat.to_hdf(os.path.join(output_dir, \"planet.h5\"), \"stats\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can use the summary function to check convergence and report posterior means and variances for the parameters."
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"tags": [
"table_summary"
]
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>sd</th>\n",
" <th>mc_error</th>\n",
" <th>hpd_2.5</th>\n",
" <th>hpd_97.5</th>\n",
" <th>n_eff</th>\n",
" <th>Rhat</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>mean</th>\n",
" <td>0.000603</td>\n",
" <td>0.003000</td>\n",
" <td>0.000051</td>\n",
" <td>-0.004741</td>\n",
" <td>0.006906</td>\n",
" <td>3101.043216</td>\n",
" <td>0.999831</td>\n",
" </tr>\n",
" <tr>\n",
" <th>log_m_star</th>\n",
" <td>-0.004184</td>\n",
" <td>0.065989</td>\n",
" <td>0.001264</td>\n",
" <td>-0.135209</td>\n",
" <td>0.120848</td>\n",
" <td>3172.600129</td>\n",
" <td>1.000038</td>\n",
" </tr>\n",
" <tr>\n",
" <th>log_r_star</th>\n",
" <td>-0.007708</td>\n",
" <td>0.065716</td>\n",
" <td>0.001646</td>\n",
" <td>-0.132794</td>\n",
" <td>0.114865</td>\n",
" <td>1420.458729</td>\n",
" <td>0.999998</td>\n",
" </tr>\n",
" <tr>\n",
" <th>t0__0</th>\n",
" <td>1661.063254</td>\n",
" <td>0.001130</td>\n",
" <td>0.000019</td>\n",
" <td>1661.061155</td>\n",
" <td>1661.065589</td>\n",
" <td>2901.722646</td>\n",
" <td>0.999853</td>\n",
" </tr>\n",
" <tr>\n",
" <th>log_period__0</th>\n",
" <td>2.860585</td>\n",
" <td>0.000091</td>\n",
" <td>0.000001</td>\n",
" <td>2.860404</td>\n",
" <td>2.860765</td>\n",
" <td>2917.700545</td>\n",
" <td>0.999810</td>\n",
" </tr>\n",
" <tr>\n",
" <th>log_s2</th>\n",
" <td>-5.474278</td>\n",
" <td>1.242940</td>\n",
" <td>0.068324</td>\n",
" <td>-6.449098</td>\n",
" <td>-4.583863</td>\n",
" <td>314.252137</td>\n",
" <td>1.000810</td>\n",
" </tr>\n",
" <tr>\n",
" <th>m_star</th>\n",
" <td>0.997996</td>\n",
" <td>0.065989</td>\n",
" <td>0.001266</td>\n",
" <td>0.873534</td>\n",
" <td>1.128453</td>\n",
" <td>3164.778873</td>\n",
" <td>1.000053</td>\n",
" </tr>\n",
" <tr>\n",
" <th>r_star</th>\n",
" <td>0.994480</td>\n",
" <td>0.066018</td>\n",
" <td>0.001641</td>\n",
" <td>0.875646</td>\n",
" <td>1.121722</td>\n",
" <td>1445.586329</td>\n",
" <td>1.000027</td>\n",
" </tr>\n",
" <tr>\n",
" <th>period__0</th>\n",
" <td>17.471749</td>\n",
" <td>0.001596</td>\n",
" <td>0.000026</td>\n",
" <td>17.468576</td>\n",
" <td>17.474894</td>\n",
" <td>2917.700919</td>\n",
" <td>0.999810</td>\n",
" </tr>\n",
" <tr>\n",
" <th>u__0</th>\n",
" <td>0.402936</td>\n",
" <td>0.238719</td>\n",
" <td>0.004301</td>\n",
" <td>0.000324</td>\n",
" <td>0.819116</td>\n",
" <td>2647.463057</td>\n",
" <td>1.001322</td>\n",
" </tr>\n",
" <tr>\n",
" <th>u__1</th>\n",
" <td>0.237791</td>\n",
" <td>0.344329</td>\n",
" <td>0.007171</td>\n",
" <td>-0.383439</td>\n",
" <td>0.834937</td>\n",
" <td>1991.870296</td>\n",
" <td>1.001766</td>\n",
" </tr>\n",
" <tr>\n",
" <th>log_ror__0</th>\n",
" <td>-3.423378</td>\n",
" <td>0.023089</td>\n",
" <td>0.000504</td>\n",
" <td>-3.468711</td>\n",
" <td>-3.378970</td>\n",
" <td>1500.214288</td>\n",
" <td>1.000212</td>\n",
" </tr>\n",
" <tr>\n",
" <th>ror__0</th>\n",
" <td>0.032611</td>\n",
" <td>0.000753</td>\n",
" <td>0.000016</td>\n",
" <td>0.031157</td>\n",
" <td>0.034083</td>\n",
" <td>1505.370028</td>\n",
" <td>1.000228</td>\n",
" </tr>\n",
" <tr>\n",
" <th>r_pl__0</th>\n",
" <td>0.032461</td>\n",
" <td>0.002691</td>\n",
" <td>0.000066</td>\n",
" <td>0.027703</td>\n",
" <td>0.037667</td>\n",
" <td>1380.266123</td>\n",
" <td>1.000148</td>\n",
" </tr>\n",
" <tr>\n",
" <th>b_hat__0</th>\n",
" <td>0.391422</td>\n",
" <td>0.144491</td>\n",
" <td>0.004278</td>\n",
" <td>0.082333</td>\n",
" <td>0.623346</td>\n",
" <td>946.940404</td>\n",
" <td>1.000136</td>\n",
" </tr>\n",
" <tr>\n",
" <th>b__0</th>\n",
" <td>0.404261</td>\n",
" <td>0.149379</td>\n",
" <td>0.004420</td>\n",
" <td>0.084924</td>\n",
" <td>0.644178</td>\n",
" <td>947.545048</td>\n",
" <td>1.000137</td>\n",
" </tr>\n",
" <tr>\n",
" <th>rho_star</th>\n",
" <td>1.464411</td>\n",
" <td>0.281195</td>\n",
" <td>0.007081</td>\n",
" <td>0.974297</td>\n",
" <td>1.988960</td>\n",
" <td>1283.692670</td>\n",
" <td>1.000115</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean sd mc_error hpd_2.5 hpd_97.5 \\\n",
"mean 0.000603 0.003000 0.000051 -0.004741 0.006906 \n",
"log_m_star -0.004184 0.065989 0.001264 -0.135209 0.120848 \n",
"log_r_star -0.007708 0.065716 0.001646 -0.132794 0.114865 \n",
"t0__0 1661.063254 0.001130 0.000019 1661.061155 1661.065589 \n",
"log_period__0 2.860585 0.000091 0.000001 2.860404 2.860765 \n",
"log_s2 -5.474278 1.242940 0.068324 -6.449098 -4.583863 \n",
"m_star 0.997996 0.065989 0.001266 0.873534 1.128453 \n",
"r_star 0.994480 0.066018 0.001641 0.875646 1.121722 \n",
"period__0 17.471749 0.001596 0.000026 17.468576 17.474894 \n",
"u__0 0.402936 0.238719 0.004301 0.000324 0.819116 \n",
"u__1 0.237791 0.344329 0.007171 -0.383439 0.834937 \n",
"log_ror__0 -3.423378 0.023089 0.000504 -3.468711 -3.378970 \n",
"ror__0 0.032611 0.000753 0.000016 0.031157 0.034083 \n",
"r_pl__0 0.032461 0.002691 0.000066 0.027703 0.037667 \n",
"b_hat__0 0.391422 0.144491 0.004278 0.082333 0.623346 \n",
"b__0 0.404261 0.149379 0.004420 0.084924 0.644178 \n",
"rho_star 1.464411 0.281195 0.007081 0.974297 1.988960 \n",
"\n",
" n_eff Rhat \n",
"mean 3101.043216 0.999831 \n",
"log_m_star 3172.600129 1.000038 \n",
"log_r_star 1420.458729 0.999998 \n",
"t0__0 2901.722646 0.999853 \n",
"log_period__0 2917.700545 0.999810 \n",
"log_s2 314.252137 1.000810 \n",
"m_star 3164.778873 1.000053 \n",
"r_star 1445.586329 1.000027 \n",
"period__0 2917.700919 0.999810 \n",
"u__0 2647.463057 1.001322 \n",
"u__1 1991.870296 1.001766 \n",
"log_ror__0 1500.214288 1.000212 \n",
"ror__0 1505.370028 1.000228 \n",
"r_pl__0 1380.266123 1.000148 \n",
"b_hat__0 946.940404 1.000136 \n",
"b__0 947.545048 1.000137 \n",
"rho_star 1283.692670 1.000115 "
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"names = []\n",
"for v in model.vars:\n",
" if not v.name.endswith(\"__\"):\n",
" names.append(v.name)\n",
"names += [v.name for v in model.deterministics]\n",
"summary = pm.summary(trace, varnames=names)\n",
"summary.to_csv(os.path.join(output_dir, \"summary.csv\"))\n",
"summary"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And then plot the posterior constraints on the folded transit models."
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"tags": [
"fig_folded_fit"
]
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"with model:\n",
" light_curves = np.empty((500, len(model.x), len(periods)))\n",
" func = xo.utils.get_theano_function_for_var(model.light_curves)\n",
" for i, sample in enumerate(xo.utils.get_samples_from_trace(\n",
" trace, size=len(light_curves))):\n",
" light_curves[i] = func(*xo.utils.get_args_for_theano_function(sample))\n",
"\n",
"for n, letter in enumerate(letters):\n",
" plt.figure()\n",
"\n",
" # Compute the GP prediction\n",
" mean_mod = np.median(trace[\"mean\"][:, None])\n",
"\n",
" # Get the posterior median orbital parameters\n",
" p = np.median(trace[\"period\"][:, n])\n",
" t0 = np.median(trace[\"t0\"][:, n])\n",
"\n",
" # Compute the median of posterior estimate of the contribution from\n",
" # the other planet. Then we can remove this from the data to plot\n",
" # just the planet we care about.\n",
" inds = np.arange(len(periods)) != n\n",
" others = np.median(1e3*np.sum(light_curves[:, :, inds], axis=-1), axis=0)\n",
"\n",
" # Plot the folded data\n",
" x_fold = (model.x - t0 + 0.5*p) % p - 0.5*p\n",
" plt.plot(x_fold, model.y - mean_mod - others, \".k\", label=\"data\", zorder=-1000)\n",
"\n",
" # Plot the folded model\n",
" inds = np.argsort(x_fold)\n",
" inds = inds[np.abs(x_fold)[inds] < 0.3]\n",
" pred = 1e3 * light_curves[:, inds, n]\n",
" pred = np.percentile(pred, [16, 50, 84], axis=0)\n",
" plt.plot(x_fold[inds], pred[1], color=\"C1\", label=\"model\")\n",
" art = plt.fill_between(x_fold[inds], pred[0], pred[2], color=\"C1\", alpha=0.5,\n",
" zorder=1000)\n",
" art.set_edgecolor(\"none\")\n",
"\n",
" # Annotate the plot with the planet's period\n",
" txt = \"period = {0:.4f} +/- {1:.4f} d\".format(\n",
" np.mean(trace[\"period\"][:, n]), np.std(trace[\"period\"][:, n]))\n",
" plt.annotate(txt, (0, 0), xycoords=\"axes fraction\",\n",
" xytext=(5, 5), textcoords=\"offset points\",\n",
" ha=\"left\", va=\"bottom\", fontsize=12)\n",
"\n",
" plt.legend(fontsize=10, loc=4)\n",
" plt.xlim(-0.5*p, 0.5*p)\n",
" plt.xlabel(\"time since transit [days]\")\n",
" plt.ylabel(\"de-trended flux\")\n",
" plt.title(\"TIC {0}{1}\".format(tic.ID, letter));\n",
" plt.xlim(-0.3, 0.3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Posterior constraints\n",
"\n",
"Given the MCMC sampling, we can make some plots summarizing the constraints on the key parameters.\n",
"First up, we plot the physical radius of the planet using the stellar radius constraint from the TOI list, and the impact parameter (remember that we're using circular orbits)."
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"tags": [
"fig_corner1"
]
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 550x550 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Convert to Earth radii\n",
"r_pl = trace[\"r_pl\"] * 109.07637070600963\n",
"samples = np.concatenate((r_pl, trace[\"b\"]), axis=-1)\n",
"\n",
"labels = [\"$R_{{\\mathrm{{Pl}},{0}}}$ [$R_\\oplus$]\".format(i) for i in letters]\n",
"labels += [\"impact param {0}\".format(i) for i in letters]\n",
"\n",
"corner.corner(samples, labels=labels,\n",
" show_titles=True, title_kwargs=dict(fontsize=10));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The other most interesting parameters are the period and transit times."
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"tags": [
"fig_corner2"
]
},
"outputs": [
{
"data": {
"image/png": 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SYrggIiIiSTFcEBERkaQYLoiIiEhSDBdEREQkKYYLIiIikhTDBREREUmK4YKIiIgkxXBBREREkmK4ICIiIkkxXBAREZGkeMt1eiRotVrodDqbZTQaTRW1hoiodmO4oFpPq9VCrVZDr9eXWVahUECpVFZBq4iIai+GC6r1dDod9Ho9EhMToVarbZZVKpVQqVRV1DIiotqJ4YIeGWq1Gu3bt3d0M4iIaj1O6CQiIiJJMVwQERGRpBguiIiISFIMF0RERCQphgsiIiKSFMMFERERSYrhgoiIiCTFcEFERESSYrggIiIiSTFcEBERkaQYLoiIiEhSDBdEREQkKYYLIiIikhTDBREREUmK4YKIiIgk5eLoBhDRAxqNpswySqUSKpWqClpDRFRxDBdEDqZUKqFQKBAdHV1mWYVCAY1Gw4BBRNUawwWRg6lUKmg0Guh0OpvlNBoNoqOjodPpGC6IqFpjuCCqBlQqFQMDEdUanNBJREREkmK4ICIiIklxWKQKGQwGGAwG8XF2drYDW0NERFQ52HNRheLi4uDr6yt+hYSEOLpJREREkmO4qEJz5sxBVlaW+JWWluboJhEREUmOwyJVyN3dHe7u7o5uBhERUaVizwURERFJiuGCiIiIJMVwQURERJJiuCAiIiJJMVwQERGRpBguiIiISFJciko1mlartetuokREVHUYLqjG0mq1UKvV0Ov1ZZZVKBRQKpVV0CoiImK4oBpLp9NBr9cjMTERarXaZlmlUslbmhMRVRGGC6rx1Go12rdv7+hmEBHR/3BCJxEREUmK4YKIiIgkxXBBREREkmK4ICIiIkkxXBAREZGkGC6IiIhIUgwXREREJCmGCyIiIpIUwwURERFJiuGCiIiIJMVwQURERJJiuCAiIiJJMVwQERGRpBguiIiISFIMF0RERCQphgsiIiKSFMMFERERSYrhgoiIiCTFcEFERESSYrggIiIiSTFcEBERkaQYLoiIiEhSDBdEREQkKYYLIiIikhTDBREREUmK4YKIiIgkxXBBREREkmK4ICIiIkkxXBAREZGkGC6IiIhIUgwXREREJCmGCyIiIpIUwwURERFJiuGCiIiIJMVwQURERJJycXQDiKh8NBpNmWWUSiVUKlUVtIaIqCSGC6IaQqlUQqFQIDo6usyyCoUCGo2GAYOIHILhgqiGUKlU0Gg00Ol0NstpNBpER0dDp9MxXBCRQzBcENUgKpWKgYGIqj1O6CQiIiJJMVwQERGRpDgsQtWSVqu1a24BERFVPwwXVO1otVqo1Wro9foyyyoUCiiVyipoFRER2YvhgqodnU4HvV6PxMREqNVqm2W5nwMRUfXDcFGFDAYDDAaD+Dg7O9uBran+1Go12rdv7+hmEBFROXFCZxWKi4uDr6+v+BUSEuLoJhEREUmO4aIKzZkzB1lZWeJXWlqao5tEREQkOQ6LVCF3d3e4u7s7uhlERESVij0XREREJCmGCyIiIpIUwwURERFJiuGCiIiIJMVwQURERJJiuCAiIiJJMVwQERGRpBguiIiISFIMF0RERCQphgsiIiKSFLf/JqqlNBpNmWV4y3oiqgwMF0S1jFKphEKhQHR0dJllFQoFNBoNAwYRSYrhgqiWUalU0Gg00Ol0NstpNBpER0dDp9MxXBCRpBguiGohlUrFwEBEDsMJnURERCQphgsiIiKSFMMFERERSYrhgoiIiCTFCZ1UpbRarV2rGIiIqOZiuKAqo9VqoVarodfryyyrUCigVCqroFVERCQ1hguqMjqdDnq9HomJiVCr1TbLcudIIqKai+GCqpxarUb79u0d3QwiIqoknNBJREREkmK4ICIiIkkxXBAREZGkGC6IiIhIUgwXREREJCmGCyIiIpIUwwURERFJiuGCiIiIJMVwQURERJJiuCAiIiJJcftvokecPXeh5b1eiKg8GC6IHlFKpRIKhQLR0dFlllUoFNBoNAwYRGQXhguShFarhU6ns1nGnk/IVHVUKhU0Go1dP7fo6GjodDqGCyKyC8MFPTStVgu1Wg29Xl9mWYVCAaVSWQWtInuoVCoGBiKSHMMFPTSdTge9Xo/ExESo1WqbZTl2T0RU+zFckGTUajXat2/v6GYQEZGDcSkqERERSYrhgoiIiCTFcEFERESSYrggIiIiSTFcEBERkaS4WoSI7MJtwonIXgwXRGQTtwknovLisAgR2WTeJjwlJcXmV2JiIvR6fZnbiRM9ynbv3o0WLVqgWbNmWL9+fbnKlPb80KFD4e/vj+eee65EXaW9tnLlSrRq1QotW7bE1KlTIQiCRO/wfwRymKysLAGAkJWV5eimPJSUlBQBgJCSkuLoppADSf3voLb8ftCjaePGjcLGjRstnisoKBCaNWsmXLt2TcjOzhaaNm0q3Llzx64yto794YcfhG+++UYYNmxYiXZYey09PV147LHHhLy8PKGwsFB46qmnhKNHj0r6/tlzUQudP38enTt3rvDxR44cQd++feHr6wsPDw+EhoZi6dKlOHXqVImv7du34//9v/8HAHjiiSfQvHlzrFixotS6DQYDhg8fjsOHD1e4fWb79u1D165doVAo4Ovriz59+uDQoUMPXS89WqZNm4Z69eph2rRpWLRoEZycnGx+mb344ovic87OzmjatCmWLFmC/Px8q+dp3LgxNm3aBADo3r27RZ1BQUGIjY1FXl6eWP7ZZ59FvXr18P7771fq+6eqc/z4cbRq1QoNGjSAt7c3+vXrh/3799tVxtaxPXr0gLe3t9VzlvZaYWEh7t+/j4KCAhQUFCAoKEjS98pwUUv8+eefOHDgAF599VVERETg5s2bFapn06ZN6N69O1JSUjB8+HCYTCb89ddfmDdvHiIiIkp8Pf/88zh+/DhcXFzw+uuvo3fv3rh+/bpFnRkZGUhOTkZ8fDxatWqFr7766qHf7xtvvIF+/foBAKZPn44pU6bg/Pnz6N27NxITEx+6fqo+Zs+ejSFDhlg898knn6BJkybw8PBAREQEjhw5UuH6s7KyMGfOHCxevBgLFiwQ/9gWFBSgUaNG2LBhg8VzRc2dOxcFBQW4e/cu1qxZgy+//BITJ06067zz589HQUEBDAYDvvvuOyQnJ2PgwIEwmUwAgPXr1yM6Oho5OTkVfm9lSUpKwsCBAxEcHAwnJyfs2rXLarnr168jOjoagYGBUCgUCA8PR0pKSrnK2Huu4uz5WZd17oSEBLRp0wY+Pj7w8fFB586dsW/fvnJ/LwoLCzFv3jw0adIEcrkcjz32GBYvXiz+zMpy48YNNGjQQHzcsGHDEn8vSytjz7H2qlOnDmbMmAGVSoXg4GBERkYiNDS0QnWVhhM6a4nIyEhcvXoVQUFBJf4A2uuXX37BxIkT0bJlS/z444/QarXYsGGD1RuSpaWl4YUXXoCnpyfWr1+P8PDwUifxffTRR3jrrbfg6uoKHx+fCrWtqFu3bmH16tXYsGEDxo8fLz7/8ssvo0mTJnjzzTftmnxINcOpU6cwaNAg8fH27dvx2muv4ZNPPkGXLl2wdu1a9O3bF7/99luFJ5L6+vrC19cXACCTWX7mkslkcHGx/qfSyckJLi4u8Pb2RmRkJPbs2YOQkBB88MEHZd79t2i97du3x759+9C8eXNs3LgREyZMQEBAALy8vCr0fuyVm5uLtm3bYty4cRg2bJjVMpmZmejSpQt69OiBffv2ISgoCJcuXYKfn1+5ythzruLs+Vnbc+6GDRti+fLlaNq0KQBg8+bNGDx4MH799Ve0atXK7va98847WLNmDTZv3oxWrVrh5MmTGDduHHx9fTFt2jQYjUZEREQAePChCgDi4+MBACkpKVbnNRTtDQNQahl7jrVXZmYmdu/ejStXrkAul6Nv375ISkrCP/7xjwrVZw3DRTU3ePBgrF27FvXq1bNZbsuWLfDx8UHr1q0rfAGfMWMGBEHAV199BaVSCa1WC8D6Dcneffdd6PV6fP3114iMjLRZ7+jRoxEVFYWWLVti3rx5+PjjjyvUPrN69erh1KlTePzxxy2eDwkJgZ+fH7Kzsx+qfqoezCE5OTkZycnJePPNN9GpUycAwIQJE/DSSy8BePDHe//+/UhISEBcXJzD2gsARqMRbm5uFQoFPj4+eOmll7B27VpMmDChElpXUt++fdG3b1+bZd555x2EhIRg48aN4nONGzcudxl7zlXcihUryvxZ23PugQMHWjxeunQpEhIScOzYMTFc2NO+//73vxg8eDD69+8vnmfr1q04efIkAMDZ2RmpqakAIA6Bvfjii+LxDRo0sOhtuHbtGp544gmLc5RWxp5j7XXw4EE0bdoUAQEBAID+/fvj2LFjkoYLDotUc1lZWbh//36Z5Z5++mm0bdu2xKcue6WkpODYsWMYOnQoWrRoYbPs7du38eWXX6JDhw5lBgsAaNasGZ566imLTxIPq3iwAIDvv/8ed+7cQe/evSU7D5WfRqOxOj+n6Jc5uNri7Ows/n9qaipu3ryJb7/9FikpKYiKirIoGxUVhaNHj0r+Xsrj119/xdChQ7F06VJ4eHhUqI5u3brh1KlTFnMvHO2bb75Bhw4dMHz4cAQFBaFdu3b49NNPy12mvPLz8+36WZf33EajEdu2bUNubm6556Z17doVhw4dwu+//w4AOH36NH7++WdxiLYsnTp1wrlz53D9+nXcu3cPe/fuRZ8+fewqY8+x9goJCcHRo0dx//59GI1GHD58uMy/++XFnotHlFartVgyaP5lDAsLw0cffYTPP/8c58+fBwCsW7cOCQkJYhfcvn37YDKZMGDAABw9ehTvvvsujh07Br1ej5iYGHzwwQdwc3OrcNuSk5Mxf/58JCcnw9nZGZGRkVixYgUaNmxYomxOTg5u376NpKQkxMbGon79+njvvfcqfG6qOKn3wzAH5YCAALRt2xbAg/Foo9GIunXrWpStW7cubt269RCtr5j4+HisX78eer0eubm5iIuLw4wZMypcn0qlgtFoRGZmJuRyeZnlL126hK5du9pcRujt7Y0//vijwm3666+/kJCQgNjYWMydOxfHjx/H1KlT4e7ujrFjx9pdprx0Op1dP2t7z3327Fl07twZ9+/fh5eXF3bu3ImWLVuWq02zZs1CVlYWHn/8cTg7O8NoNGLp0qUYNWqUXce7uLjggw8+QI8ePWAymfDGG28gMDAQABAeHo7U1FSbZUp7vk+fPjh16hRyc3PRsGFD7Ny5Ex07diz1tSeffBL9+vVDu3btIJPJ0KtXL4uhRykwXDyCtFot1Go19Hp9idcWLVpk8djJyQlr165FaGgoZs6cCeD/dmpMSkpCQkICxowZg06dOmHXrl1YvXo1TCZThYc+9uzZg2effRYNGjRAbGwssrOzsXHjRkRFReHMmTMlxr67du2K06dPA3gwXJKUlIRGjRpV6Nz0cMz7YZS1z4VGo0F0dDR0Op1dcyTCwsJKPGdtnLroc7t378b+/fuxatUqO1tfMRMnTsSsWbNgMBhw9uxZLFu2DBcuXMCnn35q0fNir7t378LJyUmc/1GW0NBQpKam2gwXrq6u5W5HUSaTCR06dMCyZcsAAO3atcP58+eRkJAgXrztKVNRZf2s7T13ixYtkJqairt372LHjh2IiYnBTz/9VK6AsX37diQmJuLzzz9Hq1atkJqaitdeew3BwcGIiYmxKFt0OKSoQYMGWb2Qm4dTbJUp7fniK07seW3p0qVYunRpqcc9LIaLKmQwGGAwGMTHWVlZAB5MpPT09LR6TFZWFpKTk+3qRjYzmUwwGAxISkqy+vrFixeh1+uxbt06sSssNjYWKSkpqFevHtatWyf+cXNzc8PAgQOxePFijBgxAv7+/rhx4wYA4OTJk0hKSkKTJk0AAJMmTcLTTz+NNWvWYPz48WjWrFmJc5uX6eXm5paYG3Hv3j2MGzcOoaGh2LNnj5jKR48ejX/84x/YunUrBg8ebHHMkiVLkJ2djZs3b+Kjjz5CZGQkEhMT0aZNG7u/XyQdPz+/Moe/zKsfUlJSbK6EyM3NBWAZLpRKJZydnUv0UqSnp1t8wj1z5gzatWtX7vaXl6enpzgfqlGjRuKnwe3bt+OFF14od31JSUlo3bp1qX8PrCn+yV5q9eu2ZFxbAAAgAElEQVTXL3EBVqvV2LFjR7nKlJe9P2t7z+3m5iZO6OzQoQNOnDiBDz/8EGvXrrW7TTNnzsTs2bPx/PPPAwBat26Nq1evIi4urkS4KM3u3bvx+uuvw2QyYdasWeJ8EnvKlPb80KFDcfjwYfTq1avEaryKHCMFhosqFBcXh7feeqvE82WN15n/IZdHXl4eunXrZrPMP//5zxLP3bp1q9TuseKTpLKzsxEeHm61bIcOHWyee8CAAaW+dvv2bTz22GMlnrf3E9DTTz9tVzlyLGv//qwpukTOzc0NERER+P777zF06FDx+e+//94ieJ45cwaZmZmIiIjA/fv3sXPnTjRv3ly6xpdCJpPBz8/P6lJwg8FgsxchJycHq1evFnsI7fHnn3+ic+fONnsuvLy8cOXKFbvrLK5Lly64ePGixXO///67RQ+hPWXKy96fdUXPLQiCxYc9e+j1+hLz2pydne1eilpYWIjY2Fj8+OOP8PHxQfv27fHss8+KEyttlfHx8Sn12KlTp2L8+PHYvHmz3ecr7RipMFxUoTlz5iA2NlZ8bDKZcPXq1VIv0GVxdXXFrVu3SgwVBAcHIzAwEGfPnrW7rilTpmDLli3YsWNHiUmaH374IRYsWIC5c+di1qxZeO+997BkyRKsXLnSYiko8GA+xvPPP48JEyZY3UxrxowZ+PTTT7F79+4SIWDWrFlYs2ZNqW3s2LEjDh48WOL57OxshISEIC0tDTNmzMD27dvx1ltv4bXXXrP7/Ve2om2UYjluZahubRQEAWFhYUhLS8ONGzfg6ekJX19fxMbGYsyYMejQoQM6d+6MdevWQavV4uWXXxaPPXPmDLp06YKUlBSsWbMGK1assPlv62HaWFhYCEEQcPnyZXz00UfQaDTYsmULkpKScOPGDTzzzDP4+uuv8ffff1v0pphMJhQWFsJoNOL8+fOYNm0aQkJCLN5HWZo2bYpz585VeFgkJycHf/75p/j48uXLSE1NRUBAgDhkNX36dDz11FNYtmwZRowYgePHj2PdunVYt26deJw9Zew51+rVq7Fz505xMzx7ftb2nHvu3Lno27cvQkJCcO/ePWzbtg2HDx/Gd999V672DRw4EEuXLoVKpUKrVq3w66+/YsWKFSX+Dpam6EZYAMSNsIrO2SitTKNGjUo9tkePHlY3JrR1vtKOkQrDRRVyd3eHu7u7xXPmFPzZZ59BoVCUOGbevHmYOnWq1d3TvL29LRJvUU5OTuW6QISHh2PLli0wGo0ljjOPHXt7e8PHx0f8A1lQUFCirPkPmZeXl9Xzmyd6enp6lnjdHJK2bdtW4vtkq04zHx8fscfj5s2b1eICWZx5E5/qrDq1MS4uDrNmzUJ8fDxiY2PxwQcfYOTIkbhz5w4WL16MmzdvIiwsDHv37hU/qRoMBuTn52Py5MkAgDZt2lgNpVJYtmyZONYfEBCAbt264aeffoJKpUJWVhbefvttvPzyy3B1dcXKlSstuu/ffvttvP322wCAwMBAjBw5EsuXLy91T43SPMywyMmTJ9GjRw/xsfnDT0xMjLiUsmPHjti5c6e40ViTJk0QHx+P0aNHi8fZU8aec+l0Oly6dEksU9bP2t5z//333xgzZgxu3rwJX19ftGnTBt99953FyjJ72rdq1SrMnz8fr7zyCtLT0xEcHIxJkyZhwYIFdn2/H2YTLVdX13JvoiXlxlvlxXBRTQwYMMDqH/T4+HhERUWVGJKQmrm34siRIxg+fLjFa+ZfdvPYd7du3eDq6oojR46U6MI1z0o3z+4vD/PmM4GBgTaXuCYnJ6Nly5ZWt7Q1f/Ko7O8XVY3o6Girq09eeeUVvPLKK1aPOX/+PFq2bCkG919//bXCc3BsDSds2rRJvOhY07p1a3z//fdWX6vMT4zl0b17d7tuWDVgwACbQ5n2lLHnXIsWLSoxqdzWz9rec2/YsMHm8fa2z9vbG/Hx8eLGWNZERERYHW45cOBAlW+iJeXGW+XFfS4IwINPd506dcKmTZuQlpYmPn/z5k1xG9yuXbsCeHDxHzp0KPbs2YNTp06JZXNycvCvf/0LSqXS7h34ihoxYgTq16+P1157rcSKA6PRiBMnTgB4MEGpX79+uHz5skUZjUaDb775Bu7u7hafWujRcubMGVy6dAkFBQVIT0/Hpk2byrw4EUklJSUF586dK/EVHBxsdSOs+vXrWxxfWhl7ji2uIsdIhT0XDubu7o6FCxdaHQYojx9++AHp6ekAHkziyc3NxbZt2wAATZo0sdjJ7cCBA/jtt9/w3HPPWewdsW7dOjzxxBPo3LkzXnrpJRQUFGDz5s0wGo146aWXLNbdr1y5EgcPHkRkZCT++c9/wsPDA9u2bcOVK1ewY8cOi16Yy5cvIzk5GcD/9Wz88MMP4ixw84RVhUKBrVu3on///mjdujWio6NRp04dXLlyBd9++y3CwsKwb98+zJw5U9z0ZdCgQXj88cfx1FNPoV+/figsLMTGjRut7onhSFL9nCtTTWijPc6ePYthw4ahY8eOMJlMWLlyZZlbcRNVhaIbYfn4+GDv3r0lhlRKK+Pr61vmsRU5X6WR9B6rJLlu3boJly9ftqscAKtfMTExFmVjYmIEAMKPP/5Yop6ff/5ZePrppwUPDw9BqVQKw4cPFy5cuGD1nOfOnRP69u0reHp6Cv7+/kLfvn2F5OTkEuU2btxYatus/RPUaDTCiBEjhICAAMHd3V0ICwsTZsyYIaSlpYllCgsLhbVr1wqdO3cWvL29BT8/P6Ffv37CL7/8Uub3iqiomJgYwcvLS5gyZYqjm2Jh0KBBglwuFxYuXOjoppCEvv76a6FZs2ZCaGiosHbtWvH5tm3bllmmtOejoqIEpVIpyOVyoUGDBsLx48cf6hgpOAmCHQNu5DDdu3fHpk2bOIeAqJJkZWUhLy8Pcrnc7s2rqkJGRgby8/Ph5eVV6TcwI5Iah0WquYCAALu2ASaiiil6R9TqpLSVYEQ1AXsurBCKbS9bWUwmE27cuAFvb+8qm8FLVFMIgoB79+4hODjY5g35+HtEVDp7f4+kxp4LK8x/oMxdpZXlxo0bCAkJqbT6iWqDtLQ0mxN0+XtEVLayfo+kxnBRjEajwbfffosjR46gsLAQvXv3xj//+c9KGfM079NQ1Tsimjur9Ho99Ho9FAqF1Q28yoOfGElq5h1Dre1nUpSjfo+IagJ7f4+kxnBRxLFjxzBw4EC4u7sjMDAQ+fn5mDFjBtLS0rBy5UrJz2e+IFf1jojmcCHlORkuqLKU9W/LUb9HRDVJVf+N5iZa/3PlyhU8//zziIiIwJYtW3D69Gl89913iI2NRWJiYpVtmVpT6PV63L592+pt24mI6NHGcPE/58+fR3Z2Nl5++WVxf/lGjRrhqaeeQl5eniTnMBgMyM7OtviqqXJzc8XNuoiIiIpiuPifU6dOQa/Xo2/fvgCA/Px8AA9u2jVw4EDcunULhw4dwqFDhyp8QY2LixOXvfn6+tboSWienp5wcXGBp6eno5tCRETVzCMfLszzD+RyOfLz88W7J7q5ueH27dtYsWIFvvjiC0RFRWHgwIHo3bs3+vXrhy+//LLc55ozZw6ysrLEr6L38KhpFAoF6tSp89ATQYmIqPZ5ZCd03r9/Hx4eHuIkl6FDh+Kdd97BrFmzcOjQIfj6+mL37t24fv061q9fj759++LWrVvYu3cv4uLiEBcXh1atWlncQrks1m65TkREVNs8kj0Xp0+fxrx587B9+3YADzbhCQ0NxX/+8x8EBQUhKSkJ9+/fx/Xr1/Hqq69i5MiRqFevHsLDwzF16lQsXrwYqampOHDggIPfCRERUfXzyIWL5ORkdO/eHYcOHYLBYAAAcdeyp59+GgcOHMCRI0cQGxuL3Nxc9OrVCwqFAiaTCQDg5eWFZ555BgqFAikpKeLzRERE9MAjFS4uX76MkSNHol27doiPj8fYsWMBAEajEcCDHgwXFxfI5XLcv38fRqMR58+fh8lkgkwmQ2FhIQBArVbDz88PMpmsSrdTrekEQbD7i4iIaq5H6sp47NgxXL9+HePHj0e3bt3E552dnQHAIiiYV0Ps2rULN2/eFIOHIAjYtWsXcnNz0bFjxyp/D1JwcnKS/IuIiMjskZrQeerUKQiCgBEjRojPXblyBZs3b4aTkxN8fX0xevRoeHt7IyAgADExMVi1ahXc3Nzw/PPPo0ePHvj666+xfv16eHp6YsCAAQ58N0RERNXTIxUuzF3uOp0OwcHBuHDhAnr27Ilbt26JZVatWoVp06Zh/PjxmDZtGu7evYsvvvgCO3bsAPBgzkVISAi+++47NG7c2EHvpGbS6/XIzc2Fp6cnl7ASEdVij1S4CA0NhSAISE1NRXBwMGbPno1WrVph2bJl6NKlC9asWYNdu3Zh3rx5yMvLwxtvvIGVK1di+vTpOHToEEwmE8LDw9G6dWvUq1fP0W+nxim6qyfDBRFR7VUrw4UgCOI8gKL/36xZMwDAZ599BpVKhfT0dMycORODBw+GTCbD4sWL8dRTT2H+/PlYsWIFoqKiEB4ejoCAAISHhzvs/dQmmZmZqFOnjqObQURElahWhouCggLIZDIIggCZTCZO2IyMjMSQIUOwd+9eKJVKAA82zwKAwsJCcR5FRkYGJk2ahPj4eGzatMkioNDD8ff3B8AhEiKi2qzWrRY5ffo0xowZI+6eOXbsWPzwww/i62PHjoW7uzs++eQT/Pnnn7h06RIAiCtB3N3dMXr0aLRp0wbXrl0DwNuJS6Xo/Uh44zMiotqrVvVcnDhxAlFRUQgKCkLTpk0hCAK++OILbN26FfPmzcOrr76KgQMH4uTJk/j444+h1+uRlJSEBg0awMPDQ+yhUCgU8PX15R4WElMoFBa9FOaeCyJyLK1WC51OV2Y5pVIJlUpVBS2imq7WhIvMzExMmzYNTZs2xcqVK9G1a1cAwLfffouEhAQsWbIEV69exaJFi7Bw4UIUFBRg9erVmDt3LmQyGaKiolC/fn0AwOHDh6HVajFq1ChHvqVarXjQICLH0Gq1UKvV0Ov1ZZZVKBTQaDQMGFSmWhMuMjIycPHiRUybNk0MFgAwcOBANG7cGA0bNsSGDRuQmZmJDz/8EEuXLkWDBg2QkJCAiRMnolu3bnjuuedw69Yt7NmzBwaDARMmTKiSttuzK6Ujhmbs3SnT3jkp5alP6l4jDm0RWafT6aDX65GYmAi1Wl1qOY1Gg+joaOh0OoYLKlOtCRfOzs4wmUzw8PAA8GArb/Puka1bt8bs2bPh5uaGhIQE+Pv748MPP8SUKVPQs2dPrF+/Hp999hkOHToET09PNGvWDAcOHEBoaKiD31Xtwgs8UfWlVqvRvn17RzeDaolaM6nA398fPj4+OHLkCACU+OT72GOPYfLkyRgxYgS2bNmC+Ph4yGQyhIWFIT4+HmfPnoVGo0Fqaip++OEHhIWFOeJt1Ah6vR63b9+2qxuViIgePbUiXAiCAF9fX7z++uvYs2cPEhISADz4pFy0K16tVmP69Ono3LkzFi9ejJ9++kl8rW7dumjRogVCQ0Ph5+dXpe2vaRdprvQgIiJbakW4MHe3R0ZG4oknnsDkyZOxZcsW8bWicxo6deqEV155BQDEMuYhFEepaeGi6JJSIiKi4mpFuDBr2bIl5syZg8DAQMTExCAxMREALHbrBIDRo0eja9eu+O9//wuj0ejwJac1bdWEQqFAnTp1ymw3h0+IiB5NtSZcmIPDoEGDsHLlSri6umLs2LEWPRhFyWQyuLi4iLt3OlJNCxf2kmr4xBxSzF/msMLwQkRUPdXocGEymcT/d3JyEh9HR0dj/fr18PPzQ0xMDFasWIHs7GwxYCQlJeHGjRto06YNCgoK7F4iSeVja/ikPMHAHFJu375tEVY494OIqHqqEUtRr169ipMnT+KPP/5Aq1atoFar0bRpU8hkMhiNRrH3QSaTwWQyQSaTYcyYMfDx8UFcXBxmzJiBL7/8El26dIEgCNi/fz/u3r2L+fPnw9XV1cHvrvYw3y/EzNPTs9SblJXnDqnm7cLNdZnDivl5zv0gIqpeqn24SE5OxgsvvID09HTxwtWsWTOMGTMG8+bNKzGsUTRgDB48GKGhoTh48CDi4+ORkJAAX19fqNVqfPHFF2jevLkj3lKNVdbNxsyBITMzE/7+/jaDQ3mCQWm7eXKXTyKi6qlah4sLFy5gwIABePzxx7Fo0SI0a9YMGo0GCxcuxIIFC/Dbb79hw4YNkMvlFseZ74jq5OSEsLAwhIWFISYmBunp6fDw8EBAQAC8vb0d9K4cz95hoOKraIr2NhT9npvDnLUehuLnMtdXVjCwt432rvKRuj4iIipdtQwX5mCwY8cOyGQyLFiwAL179wYAPPnkk+jUqRPefPNNbNu2DdnZ2UhISEBISIhFHUUvEoIgwN/fX7zdd3Vj3km0uinerqK9DUWfl8lk4g3fyupJkPp9SrntOBERSaNaTug0XzBu3rwJNzc3dOnSBQBgNBohCAJatWqFlStXIiYmBnv37sXkyZNx//59izLW6qOHY16CCsDqZMzKXr1RmfWb6+bkUCKih1ctw4WZn58fsrOzxYuJ+ZO0IAho0qQJFi1ahOeeew67d+/GxIkTATy4x4g5TPzyyy/46quvHNb+2qq0VRqVvXqjMuvnyhMiIulUy3Bh7nkYMmQICgoKMH/+fAD/N1nTHDAaNWqEJUuWoFu3bvjss8+wfPlysY47d+7g3XffxejRo3Hnzh2HvI/aqrQlppW9c2dl1s9dR4mIpFMtw4W556FZs2bo3bs3PvvsM8THxwMoGTCaN2+OlStXwtfXF5999hmuXr0KAAgMDER0dDR+/fVXBAYGOuy9VGfWhhnsGXoobYdOe3furKjKrN9cN8MFEdHDq5YTOs18fX3x7rvvokuXLpg/fz6cnJwwbdo0i+WmgiAgPDwcc+bMwezZs3Hx4kU0atQIADB8+HAHv4PqzdpeE6WtCCGqLgwGAwwGg/g4Ozvbga159Gg0mjLLKJVKqFSqKmgNVVfVOlwAQIsWLfDtt9+iT58+WLBgAQCIAcNoNIrzMNq2bQsAuHjxIqKiosQVJ1Q6a3tNlLb/RFl7XNQUteV9PMri4uLw1ltvOboZjxylUgmFQoHo6OgyyyoUCmg0GgaMR1i1DxcA0LlzZ3zxxRcYMWIE5s2bh/z8fMycOdNiA63r16/D29sbTZo0AcAVIvawtnS06HPmuS96vR5XrlyBu7u7WKboRbp4D0d1voCXZ2dQqp7mzJmD2NhY8XF2dnaJpej0gFarhU6ns1nGnp4IAFCpVNBoNHbVFx0dDZ1Ox3DxCKsR4QIAnnnmGezduxeDBw/GrFmzkJqaijfffBNBQUH473//i/Xr1yM4OBgRERGObmqtk5ubC3d3dxgMBrFHo/jwSdFAUZ0v4NwyvOZzd3cXgy6VTqvVQq1W27V0W6FQQKlUlllOpVIxMJBdaky4AICuXbvi6NGjmDFjBnbs2IGvvvoKCoUCMpkMCoUC+/btQ/369R3dzGqvPDt0mnfeBCD2UgiCYHGRNplMFoHC09MT6enpYhgx92wIgiDe3t5W74a9Q1oV2WlULpdbtKd4feb2SYU9aOQoOp0Oer0eiYmJUKvVNstyjgRJrUaFC+DBHIwtW7ZAo9Hg66+/xr179xAaGophw4aJEznJNmsXPGsX+6I7bwIQ94AwD50UHz65e/euOC7r6elps/eiqno3yjtEU52HdIgqQq1Wo3379o5uBj1ialy4AB5srtW5c2d07tzZ0U2pNcq62Nt6PS8vDzqdzqKruqzhh8oenjCHBPOQTtHbtNsKDtV5SIeIqKaolvtc2KNolzbvHfHwytpEytbr1uZklLYnhXkfDXOdubm5VseEH3arb3NI0Ov1yMzMtHjO1i6ctt5n0TZV9lbnREQ1WY3suQAsu/YrY1y7oKAArq6uktdbXZV10zFrQyNm5gtxvXr1yvy0X/wCX1ovQfEehPIOV5iDi0KhEHtU7OktsfV9sLftRESPuhrbc1GZfvvtN7z33ns4duyYo5tSrZT2yV8ul9u9c2bRngFPT08YDAarvRfFexDM505PT7erx8DccxIUFCTW87A7fBZvO7cLJyKyrsb2XFSWY8eOYcCAAQgNDUW9evXw5JNPOrpJ1UZpn/zz8vIsnrfVw1C0Z0Cv1yMvLw9ubm4legCK9yCYz20wGHDv3j3odDo0atSozKCgUCggl8sl6d0q3ib2WBARWcdwUcTvv/+OZ599Fm3atMHcuXMRGRkJ4P+WZD7qShsyqOhwQW5uLtzc3JCfn28RWIqGFXMd5nN7enri6tWr4iRNXuCJiKqfcoULg8GA5ORkyRsRFhaGgIAAyestr927dyM7OxtTp04VgwUAyYJFbb0nQvEeDXtXgRTdP6NoSMjNzS21d0KhUKBRo0YlzmFrToZOp8Pt27dRp04d1KlT56HeKxERla1c4eLWrVvo3r275BMod+7ciUGDBklaZ0X8/PPP8Pf3x5AhQ8Tn0tLSsHfvXshkMoSEhKBnz55wc3OrUP214Z4I1i7icrm8RAAwr6aoyH4Rnp6e4tJWa70T5l6MoquEbC0h1Wq1yMrKgl6vZ7ggIqoCFRoWGTFiBB5//PGHPnlmZiZWrVr10PVIxcnJCUajEXfu3EFgYCB+//139OjRAzdv3hTL9O/fH9HR0Rg5cmS566/seyKUtSS3vCsurNVn7a6p5qWZ5vkNxct5eHgAAIxGo8X9YIpO0jS3SS6Xw9XVFSEhIdDr9ZDL5TAajeIxeXl54rnc3Nzg4vLgn7A50CgUCphMJos2e3p6IiMjAwUFBTbv9lqeHTq58yYRUekqFC5GjRolSU/D1atX8dFHHz10PVKpU6cO7t69i7y8PJhMJkycOBGNGzfGrFmzUKdOHezYsQPfffcdfvvtN+Tn52PMmDHlqt/R90Qo7wZR5jvOFlV0CMT8ml6vF/eUKLpsFABcXFxw584dKBQKeHh4WNRnLmswGCyON2/nbq2Ner0eRqMRer3eoj5bS0gbNmwIQRDg7u5u0Ubz/xc9jqGBiOjhlWsygZ+fHxYuXChJr0Vl1Fce9+/fF//f/Ek3IiIC9+/fx+rVq/Hnn3/CxcUFCxYswNSpUzFq1CisWrUK77zzDv7++298/PHHuHLlSpW3+2EUXz5ZkY2grC3nVCgUcHFxsVgF4u7uLp7HHBzMr5nveVD0wm4wGOwKPAqFAs7OznYPtZhXpCiVSjg7O4uhomggIiIiaZWr58LX1xcLFy6U7ORS12ev06dPY8uWLejYsSNGjhwpdoUPGzYMb7/9Nr755hvk5OQgLy8Pffr0AfCgy7x+/fp44YUXcOfOHSxatAj79+/HpEmTqrz9FVV8roJUW12XNueiaNgo+v/Feznc3d0twolZ0d6FovWY796Ym5uL+/fvl+h9KHqc+Xz5+fniuYq+xtUmRETSk2QpalpaGnbu3Injx4/jzp078PHxQXh4OIYMGVLm3fiqWnJyMp555hk0btwYbdq0EZ83mUwICAjAnDlz8Prrr+Pf//43wsLCxDt0mv/r7++PYcOGYeXKlUhNTXXgO3l4D3t/D/PwR/GLf2n7QZhMJouLetHhEx8fH6v1G41G6HQ6ZGRkwGg0ok6dOuLdGzMyMpCTkwMvLy+LOzpaCzB3795Fbm4u8vLyULdu3TJ3JCUioop7qHCRmZmJ6dOn4/PPP4fRaLSYAPjVV19h3rx5GDp0KD755BMEBQU9dGMf1uXLlzFy5Ei0a9cOCxcuRLdu3QBYTjTs06cPjh8/jh07duDixYvYvXs3+vfvD5lMhvz8fLi5uaFVq1bw8/OzWFZaE9m6wNoz+bPo/TsAWFzQrdVXNHyY6y+t18LcPnPdRqPRYijLfM+Qe/fuwWAwiHdjLXqc+VweHh7Q6/XIyckp3zeIiIgqpMLh4sqVK+jRoweuXr2KunXrYsSIEXjyySehVCqRkZGBU6dOYfv27fjPf/6DY8eO4fDhw2jatKmUbS+3Y8eO4fr161iyZIkYLABYrGB47LHHMGXKFBgMBnz55Zd499134eLigj59+ohLUPfu3Yu8vDx06NChyt9DVbFnyKTo/TsA2AwWWq1WXDVivlupwWCAXC4XhzmKM4cDrVaLe/fuwcPDA3l5edBqtQAeDKvp9Xr4+flZnNtaaFIqlSWGRUrD264TET2cCoWLgoICDBgwAFevXsWcOXOwcOHCEns/jBw5EkuWLME777yDhQsXYsCAAThz5kyF94iQwqlTpyAIAkaMGCE+d+XKFWzevBlOTk7w9vbGmDFjEBERgeXLl6Nhw4ZYs2YNxo0bh8GDB2PcuHE4efIktm/fDrlcjn79+jnsvVS28tzky2QywcnJyWYviMlkQnp6Ory8vCxe8/PzK7MteXl5CAwMRG5uLkwmk9guT09PNGvWDDqdDnfv3oUgCOLQi3mCaNHAoVKp7JpnUXzHUQYNIqLyqVC4WLt2LX777TcsXboUc+bMKbWcq6sr5s2bB7lcjpkzZ+KTTz7Ba6+9VuHGPixBECAIAnQ6HYKDg3HhwgX07NkTt27dEsusWrUK06dPx7hx4/D222+jX79+eOONN7Bp0yZ8+umncHV1RePGjfHNN9+gcePGDnsv1Zl5CMQsNzcXWVlZYpCoU6eORWgpetHW6XS4c+cOAgICxB6NwMBAXLt2DR4eHpDJZGJvh4eHB65du4YvvvgCJ06cwIkTJ3D79m20aNECs2fPRrdu3eDp6Qm5XC6GA2u7d6alpUEul0OlUsHJyUkMFb6+vpJNeiUiepRUKFwkJiYiNDQUs2fPtqv89OnTsXbtWmzdutWh4SI0NBSCICA1NRXBwcGYPXs2WrVqhWXLlqFLly5Ys2YNdu3ahXnz5iEvLw+TJ09G9+7d8dNPP+H69evQaG5GIyQAACAASURBVDQICgpC48aNUbduXYe9j6pg70W1+KTO27dv48aNG3B1dYWzszPq16+PvLw81KtXD/n5+VYnfOp0Omi1WsjlcvFYczgpujrEaDTCaDTi7Nmz2L9/P5KSknD69OkSm31dvHgR48aNQ3h4OObOnSuGDGvMW4MXbVvxeSC2enA4hEJEVFKFwsWFCxcwYcIEuzcckslk6Nu3LzZv3lyR05WbeWVH8f9v1qwZAOCzzz6DSqVCeno6Zs6cicGDB0Mmk2Hx4sV46qmnMH/+fKxcuRJRUVEIDw+HXC5H06ZNK23OiLlHxRapN3cq63xFh0Vslc3NzRV3vjQ/zs/PR35+PuRyOQwGAwIDAwE82FDL1dUV9+7dQ15eHuRyOTw8PHDnzh3k5OTg2rVr8PLywv379+Ht7Y2CggLcvn0bOp0O33zzDX7++WecOHGixN4UrVu3Rs+ePdGzZ0+o1WokJCQgISEBqampGDFiBCIjI7FkyRK0a9euRPsDAgKQnp4ONzc3cdhGLpfDx8cHJpMJHh4e4lwR834ogiCIt4o3T0otLYSV9X02l7H358tNvoioJqhQuMjOzkbDhg3LdYxKpcK9e/cqcrpyKygogEwmE7dzNk/YjIyMxJAhQ7B3717x0/DQoUMBPFjp4OnpiQEDBiAjIwOTJk1CfHw8Nm3aVCVtloKUFx57b1Xu6emJ9PR08ZO/p6cnZDIZ8vLy4OvrC4VCgcDAQPETfmZmJjIyMsS5NwqFAv7+/sjIyICfnx8KCgpQv359GI1G7N+/H1u3bsXhw4cttgAPCgpCZGQkunbtit69e5foRXrrrbcwadIkxMXFYcuWLTh48CB++OEHvPjii5g/fz4aNGgglg0MDES7du1w/fp1cWdWe3oh0tPTkZOTA2dnZ3H+BxERPVDh1SJFV1jYdSKXqrm7++nTp7Fs2TKkpqbCZDKhU6dOmDBhAnr27AkAGDt2LI4ePYpPPvkE/v7+uHTpEkJDQ+Hi4iJuET169Gh8/PHHuHbtWpW0uSYzDyUUFhYCgHivlDt37uDatWvIz88XH5tvr+7m5oasrCw4OzuLkzXNZf766y9s2LABX3/9NTIyMsTzdOzYEUOGDEHv3r3RunVryGQy5OTkwNXV1Wq7goODsWrVKkyZMgWLFi3Cnj178K9//Quff/45Xn31VUyePNliK/aAgADk5eWJt3u3dx8MuVzOm6ERERVTNVf8KnLixAlERUUhKCgITZs2hSAI+OKLL7B161bMmzcPr776KgYOHIiTJ0/i448/hl6vR1JSEho0aAAPDw+xe1qhUMDX11eyW63XRkXnGsjlcnGYw7zdtl6vh5ubm3gjODc3NxQUFCAgIAAAkJ+fL+474erqivXr12P79u24cOGCeI769etj9OjRiI6OrvBmbC1atEBiYiLOnDmDOXPm4OjRo3jvvfewfv16zJ49G126dEHdunXh5eWF4OBgZGVl2dyvwywoKIg9FkREpahwuMjMzBT3G7BH0U+hlSEzMxPTpk1D06ZNsXLlSnTt2hUA8O233yIhIQFLlizB1atXsWjRIixcuBAFBQVYvXo15s6dC5lMhqioKNSvXx8AcPjwYWi1WowaNapS21yTFZ3w6e/vL16I79y5g8LCQuTl5SE7OxvAg14E811MzUtR8/LycPXqVcyYMQOHDh0Shz3c3d0xcOBAjB07Fr169ZKsx6tz58748ccfsWfPHrz55pvQaDSYNWsWhgwZgtjYWLRp00bstQCs7xhaVEV3+OQEUCJ6FFT4L/fixYuxePFiKdvyUDIyMnDx4kVMmzZNDBYAMHDgQDRu3BgNGzbEhg0bkJmZiQ8//BBLly5FgwYNkJCQgIkTJ6Jbt2547rnncOvWLezZswcGgwETJkxw4Duq3krbB8Pci5GXl4fMzEyLeRfmoRMA8PDwwKJFi/DTTz8BADp16oSxY8di+PDh8PLyqpRhNCcnJwwYMAB9+/bF8uXLsXjxYuzatQsHDx5EbGwsxo4dC7lcXuqOoVLg0lYiehRU6C+4eT+A/8/eeYdFcX5/+96ldxAQG2ABK5qosX3tii3WGDUSFYk1tkQjFixYo8ZuLEhssWCvWGNi7DWxF9RYsaDS2y519/2Dd+a3CwssK/a5r2svZXlm5plld+cz5znnc94njIyMxOx+QDR2kslkVK1albFjx2JqakpQUBAODg4sWrSIoUOH0qxZM1auXElISAhHjhwRjZkOHz5MuXLl3uk5ad7lvqnwu6F30pp37pqiQXj+6dOnGBsbi1Uj2dm9ezfHjx/HxMSEv//+mzp16oi/S09Pf40zyh8jIyPGjx9Po0aNGDVqFJcuXWLq1KkEBQUxcOBAvv/++zd27Nft5yIhISHxIWCQuHgfW407ODhga2vLyZMnGT16tFgtIlC2bFmGDBlCdHQ069evp0yZMkyePBkvLy8WLlzI2LFjiY+Px9jYGEdHR72cI980mne5b+pi9KbupEuVKoWFhQWOjo7ifpVKJampqSiVSgIDAwEYN26clrB4mzRs2JAzZ86wY8cOAgMDuX//PtOnTyckJIQZM2bQpUsX5HJ5jr4oAprCDLSdPHMTbVLDNIlPhbCwsHzHODk5aTUdlPh4+CgyFtVqNXZ2dowcOZL9+/cTFBQEIHYzFahUqRIjRoygXr16TJ06VQzJA7i4uFChQgXKlSv3XggLyLrLNTY2fqN3uW/jGAIpKSlkZmbi7+9PVFQUVapUYdSoUW/8uHkhl8vp2rUr165dY9GiRbi4uPDw4UN8fHyoUaMGf//9t1aXVU00hZkuy3DNnwuCQqEgMjIyx/EkJD4EhCaCPXv2pGbNmnk+KlWqVKDcPYkPh49CXAhLNN7e3tSpU4chQ4awfv168XeaJlW1a9dm8ODBAOIYYQnlfcPS0hJnZ+c3eqdbGMdQKpVER0eLD4VCQXR0NGlpaURHR2uNDQ0NZefOncjlcn777bdC7TVz6tQpWrZsybx587SWavTBxMSEgQMHcvfuXaZMmYK1tTXXr1+nRYsWBAYGiqXXUVFRKJVKQFuYZRdpVlZWotFWQUVCcnIyCQkJPHr0SBIYEh8cbm5uhIWFcfHixTwfGzZsQKFQEBUV9a6nLPEGMGhZpE+fPnqPNTExoXz58vj5+Yl+Bm+KypUrExAQQN++fenduzcymYyePXtqCQyZTEaPHj0IDg7m7NmzWu3WJXKij8OkUqkkIyODhIQETE1NiYmJEQ24ihQpgkqlIiUlhfDwcKZNmwbA4MGDqVKlis6LZ0JCgpg7kxcPHz4UvSr27NnDtGnTyMjI4Ny5c2zbto2pU6fi4eFBenq66L+RF+np6Tg4ODBy5Eh69erFnDlzWL58OcHBwdja2vLjjz+SmZlJenq66C6qOU/NfB9zc3OsrKz0XnLSfJ2trKyIjIwUnT915azkx/soliU+Hdzc3KTljk8cg8RFQV0rZTIZCxYs4NSpU2+s2ZcgHDp06MCCBQvo27cvvr6+qNVqevXqlWOJRC6XY2xs/F4ICyHx9G0er7DQbFLm6OhIVFQUZmZmWFlZ4e7uLo5LSUnh119/JSIigjJlyjBx4sRcX3sjIyO9q0VkMhlLlixhxYoVQFbJ6c2bN7l16xbdu3dn0KBB+Pj46OVZIpfLxXHFihVj3rx5VK5cmWHDhjFnzhxsbGzo06cP5ubmer2GQu5FfktO2fdlaWlJ6dKlxZwNSShISEh8aBgkLtasWaP32JSUFHbt2sXhw4cJCAhg06ZNhhxSJyqVSrwYyGQy8eeePXuiVqv58ccf6d27N5GRkfTr10/0Ljhx4gTPnz+nTp06pKenY2xsLH2BG4jQW8PY2FhcaxXERlRUlJjAePnyZTZu3AhkdZ4tjKWelJQUJk6cyOHDhwHo378/Q4cOJTo6mqlTp3Ls2DEWL17Mn3/+SXBwsEFGXH379iUuLo6JEycSGBiIs7Mzvr6+WmNyS/gUurEagpT4KSEh8SFjkLjo3bt3gcYPHDiQOnXq8NdffxlyOB4/fsy///7Lf//9R5UqVahUqRIeHh7I5XKtZQ25XC4KjF69emFra8vMmTPx9/dn27Zt1K9fH7VazR9//CFeMHKzj5bQD6G0UhAVgrB48uQJmZmZODs74+Liwg8//ABkvXcaN2782sd99eoVgwcP5ubNmxgbGzN58mQ6duwIZLV0//XXX9m/fz8zZ87k9u3beHt74+/vz7BhwwrsoTFy5EhiY2OZP38+Q4YMwc7Ojm+++Ub8vZDwqSmmJGEgISHxKfPWEjrbtm0rJsIVhPPnz9OsWTP8/PwYN24cHTt2pG3btkyfPh3I2eNEEBgAHTt2ZOXKlcyfP5+IiAiCgoLYtGkTLi4uHDt2jPLly7/+iX1C5FfFoHmRzczMJCUlBchqJHb37l2KFSsm/t1ehydPntCiRQtu3ryJra0tv/32mygsBATDrN27d9OoUSPS09OZOXMmbdq04cqVKwU+5rRp0/Dz80OlUuHn58eGDRt4/PixmOkuCBZdVSUSEhISnxpvtbeIZjdKfbh9+zbt2rWjYsWKTJ48GU9PT8LCwpg0aRKBgYHcunWLVatW5Uh4EzwuZDIZXl5eeHl50bt3b169eoW5uTlFihTBxsamME/tk0CXJ4bwnLAsoFAocHJyEv8mzs7OHDx4EICxY8cWSpnv0qVLefLkCaVKlSIoKCjPPB5nZ2fmzJnDxYsXGTduHFevXqVVq1b4+Pgwbtw4ihYtqtcxZTIZixcvJj4+nl27dtG7d2/q16/P+PHjqVSpkla0InvUQrL8lihswsPD862y0MdnQkLiTfHWxMXBgwepWbOmXmMFYbBjxw7kcjmBgYG0aNECgLp161K7dm3Gjx/P5s2bSUhIICgoKEc1gGYOhVqtxsHBAQcHh8I7oU+Q7O6SQhlZSkoKpUqVEi+cCoVCq7zVy8uL69ev8+TJk0KZx7FjxwAYMmSIXgnCMpmMLl260LBhQ6ZMmcL27dvZuHEj+/btIyAggN69e+u1VGJkZMSaNWvw8PBg4cKFnD59ms6dOzNo0CCGDh2KtbU1Tk5OObbLy6hMEh4SBSU8PJxKlSrpFSGztLTU+Z6UkHjTvJVlkb///ptbt27Ro0cPvcYLwiAiIgJTU1Pq168PQGZmJmq1mipVqrBgwQJ69+7NgQMHGDJkiBiCF8bo2p/E65HdE+PVq1dERkaKTccALcMpQXw0adIEgKNHj772HF68eMHdu3eRyWR6i1UBFxcXli1bxv79+6lWrRoJCQkEBATQsmVLLly4oNc+TE1NmTx5MleuXKFZs2akpKSwYMECvL29uXTpks5t8jIqy81sSzLSksiNqKgoFAoFGzZsyNdLIiwsTCoJlXgnvBVx0axZM+Lj42nbtm2BtrO3tychIUH8ghVKNtVqtWjf3aVLF/bt20f//v2BrLtLQUycPn2a7du3F+7JSGhhbm6OkZGR1pKA0PhLEBqCvfeVK1eIi4t7reOdPHkSgGrVqmFnZ2fQPmrVqsUff/zB7Nmzsbe358aNG7Rr146ffvqJV69e6bWPihUrcvjwYUJCQihWrBgPHz6kbdu2TJs2TUtsQd5GZbkJj9dx+JT4NKhUqRI1atTI8yEJC4l3xXvp0ClEHjp16kR6ejoTJ04E/i9ZUxAY7u7uTJ8+ncaNGxMSEsKsWbPEfURHRzN79mx69OiRwyVSonAoWrQoZcqUoXz58lriQgjDJicnk5qaSrly5fDw8EClUoniwFAEy/ZGjRq91n6MjIzw8/PjzJkzfPvttwBs2bKFzz//nODg4BwCQRcymYzu3btz69YtfH19UalUTJ48GW9vb54/fw7kH4HITXgU1JZdinRISEi8T7yxnIuMjAx2795NfHw8X375JcWLF9d7WyHy4OnpSYsWLQgJCaFChQoMHz5cq9xUrVZTvnx5FixYQNOmTQkJCcHHxwd3d3ccHR3p2bMnM2fOfOPOoB8a+rhuQv626BYWFlhYWJCRkSFW6Ajt1hUKheh/YW5uTsOGDbl37x5Hjx6ldevWeR43Pj5eXObKPm8h36JGjRqEh4fr5eQZFxeXZ8TEz8+P2rVrs3jxYu7fv8+IESNYuXIlkyZN4vPPP88xPiMjg2LFimk9t3DhQurVq4e/vz8nTpygevXqzJ07l0aNGmFqakpiYqKW1bnwGllaWmJubp4j50N4bYXzFsjt75E9r0Pfv7G0ZCghIfEmMDhykZ6ezpgxYyhdujQeHh6iQyJkrQl+8cUXfPPNN/Tv3x9PT08OHTpU4GPY2dkxe/ZsTE1NmThxIosWLcqadLYIxueff05AQAA3b97kzp074vZdu3alcuXKhp7iJ0Nud73CMlR+j7S0NGJiYkhJSRGtwAFxeUQul9OwYUMga1lD0wtC18PW1lbs16H5iIyM5Pnz55iYmNCoUSMcHBwoWrRovg+1Wi26b+b28PLyYu7cuUyePBkbGxtu3rxJt27dmDBhAvHx8RgZGYmP3F6b7t27c/ToUby8vIiKisLPz49Zs2ahUqmwtLQUe7AIwiIzMxOFQqH3BT6v6MTbbEAnISEhkR8GiwsfHx/mzp1LVFQUkZGRfP/998ybNw/I6htx7949JkyYwPTp0zEzM8PHx4eYmJgCH6dChQrs3bsXmUxGYGCglsDQTN787LPPAERxoe+dm8Trr+9r+lsoFArS0tJwcnISHTsBmjdvjkwm4/bt2zx79syg4whLKjVr1nwjF1EjIyN69erFX3/9xddffw3A1q1badWqFfv379frPeXp6cmff/5Jv379APjtt9/46quvePz4MU+fPiUpKUmMWGjmquiD8Drr+ju9jSZ3EhISEvpikLg4d+4cO3fupHXr1kRGRhITE8OQIUOYOHEiZ86cYceOHWzbto0pU6Ywbtw4tmzZQnx8vFZ0oyDUq1ePrVu3olarmTBhAnPmzAGyLgaC/fezZ8+wsbGhTJkygBTuLQivu74vJHFCVjWFLofKUqVKUbVqVeD/SkkLyqlTpwBo0KCBQdvri5OTE7Nnz2bLli14enoSExPDDz/8wKBBg/RK+DQ3N2fOnDn8/vvv2NnZcfHiRRo1asTRo0dJS0szWAAIr7MUnZCQkHjfMUhcLF++HAsLC9atW4eFhQVGRkYsXLiQihUr0r9/f2rXrk2bNm3E8d7e3lSqVImdO3caPNHWrVtz4MABTE1NGTNmDD169ODWrVtERUWxd+9eVq5cSYkSJQpcnihR8Lve7JEOCwsLMVIhLIVkR6FQUK9ePcCwklSVSiWKC2GJ5U3zxRdfsGfPHtEy/M8//6RVq1aEhITozAnJTvv27fn333+pU6cOcXFxDB06lPnz56NSqYiOjiYyMlIr2Vgo3S1o8qeEhITE+4ZB4uLo0aN4e3trJUrK5XL69OlDWFiYzpLTFi1acP/+fcNnStYd65kzZ2jbti07duygevXqeHp64ufnx5MnT9i2bVuBEkclDKMgkQ7hgqnpd7Fz504eP35coGM+ePBAbOVevXp1Q6ZtEGZmZgwfPpw9e/bg5eVFQkICP//8M59//jlLly7NdympdOnSHD16FH9/fwBWrVpFy5YtSUxM1BqnUCgIDw8nMTFRyyNEqv6QkJD4EDFIXDx//lzMcdCkdu3aQNa6c3ZKlSpFbGysIYfTokKFCqxfv56jR48yYsQIvv32W8aPH8+pU6fw8vJ67f1L5I9wBw0QGRkp9ozRNNASEJ6DrIhDrVq1UCgUjBw5skDHFKyMy5cvr1V18baoWLEiO3bsYOrUqRQrVoyXL18yYcIEPvvsM+bPn09CQkKu25qYmDBz5kwOHTqEo6Mj//zzD4MGDcLKygoLCwuio6PFVvWpqalaHiGGiAupLFVCQuJdY5C4yMzM1Gkp6+LiApCj1wdQqN1H7e3tqVevHrNmzWLp0qX89NNPuLu7F9r+JfRDs68IaBtoQVbV0JMnT4iLi8PJyYkiRYqwaNEijI2N2bdvH3v37tX7WLdv3wYwqG16YWFsbEyPHj04dOgQv/76K2XKlCE6Oppp06ZRrVo1fvvttzyTPps3b86BAwews7PjzJkzDBgwgLi4ODFCYWNjg5OTkxi50CyfLUgkQzLgkpCQeNe8lyZa+qD5JS5VhrwbhOWR7AZamuJCKN0UnqtRowYjRowAYMSIESQlJel1LEFcVKxYsVDPwRBMTU3p1asXFy5cIDg4mAoVKhAfH8+YMWPo1q1bnkmfNWrUYN++fVhbW3PkyBH8/Py4ffs2SqVSFOwZGRlER0eLpaqQd6VIdqSyVAkJiXeNweIir2qMt1GpoXmMwjyeYAYloI9T46eKsDyiK1Il/F5Xs66AgADc3Nx4+vQpM2bM0OtY70PkIjvGxsZ069aNM2fO8Msvv2BmZsZff/1FgwYNOHz4cK7b1a1bl9DQUCwsLDh//rxY0i2UqAqVN8+fP+fp06daz+sjGKTETwkJiXeNTG3Abb9cLjf4gv4+X6yFbqwAs2bNon///jg6OpKZmSnegRcmCQkJ2NnZER8fj62tbaHvPzf0/ZPrOy4zM1MsCVYoFCiVSiwsLERDLaH8Mj09HchaNjt27Bhff/01RkZGnDlzRitf5v79+1qvd0pKCrVq1UKlUnHs2DEx3+Pff//Vy6Hzxo0bWstyL1++ZP/+/SQlJaFWq8WHSqXS+hmyhKuXlxf169cX51S8eHGdOUcPHz5k2rRpPHz4EICvvvqKOXPm5DrHEydO8N1335GamkqbNm1YvHgx1tbWmJubExsby7NnzzA3N6dUqVIUKVIEtVqt1/Ki5vu4MMbBuyntzu3zkZqaSmpqqtY4V1fXt/45eldcunSJmjVrcvHiRWrUqPGup2MwH8t5vO+8q+uMQfbfbm5uH6WPhHBOvXv3Zv369Zw5c4a1a9fi4ODwxgTGu6Cw/3aazeIEQaFUKsXExLi4OBITE8nIyKBo0aKkp6fTsWNHOnXqxO7du5k7dy6bNm0S92dvby+KFchqMa1SqXBwcKBcuXLisYoWLarXh+XixYviHX9iYiIbNmwgPj5e7/M7e/Ysd+7coUGDBjg4OJCSkqJTXJQpU4bly5cTHBzMzp072bVrF2FhYSxdulTnck7jxo0JDg6mX79+HDx4kLFjxzJ//nwAUUxAlhjL/jdLTk4WIxqf2vLHzJkzmTJlyruehoSERB4YJC4ePXpUyNN4f4iMjOTatWs4OTlx6NAh/Pz8WLt2Lfb29h+VwHhTCIJCuOhZWVmhUChITEwUe2gI4fqRI0eye/dujhw5kudrK7iuVqxY8bWEUUZGBuvXryc+Ph4nJye++uorLWF08eJFMSoiWHrHxcVx4cIFYmJi2LdvHzVr1hT9OnRhamrKsGHDqF27NrNmzeL27dt8+eWXTJgwge+++y7H/Fu0aMHSpUsZPHgw27dvx8jIiODgYJ1GZJpoVpNYWVlpiY2PfTkkICCAn376SfxZiFxISEi8P3ywCZ1vCmdnZ7p06ULnzp1p2rQpe/fuxc/Pj7i4OIyMjF5rWSc1NZWEhAStx4eMviWPTk5OuLi4ULJkSVF8KBQKatWqhY2NDTExMVy+fDnX7YVlhnLlyhk8V7Vazc6dO8VmZ71796ZcuXKULl0ad3d33N3dsbe3F83AHB0dKVKkCGXLlqVDhw6ULFkSlUrFP//8w86dO/N16qxTpw7Lly+nWbNmpKamMnHiRHx9fYmMjMwxtm3btqxZswaZTMaWLVuYMGGCziUppVJJZGSkmMeiKdQEARceHv7Rl6CamZlha2ur9ZCQkHi/MEhcnDhxQmwp/TGiVqu5efMm+/bto127doSGhmoJjOxj9WXmzJnY2dmJjw/9bit7KSpo31EnJyeLF1MhwVC4CAolqv/73/8AOHLkSK7HEQy3SpUqZfBcT58+zaVLl5DL5fTo0UOMUOiDpaUlzZs3p27duhgbG/P06VP69OnDX3/9led2Dg4OrFu3Tuyv8/fff+Pt7c3Zs2dzjPXx8SE4OBiAJUuWMHnyZBQKBdHR0eLrGxMTw8uXL0UBobkkYmlpSWpqKmZmZqJ4e/ToEY8ePSqw2JB8MiQkJF4Xg8RF06ZN2b59e2HP5b2ha9eu3Lx5k3///Zdt27bh7e0tCoz09HQuXbpEp06dgILlLwQEBBAfHy8+njx58qZO4a2QvRQVtL0ushtBCRe9+Ph4VCoV9+7dE5cYNmzYkKNSR0Aw4bp27ZrBc/3nn38AaNWqlU6Tt/yQyWRUqFCB9u3bU6xYMZKTk/n555+ZPn16nuW0MpmM7777jgMHDlCxYkWioqLw9fXVGan57rvvxMZ8M2bM4OeffyYtLY3o6Gixmyr8X16L5sXfysoKNzc3bGxsxCqdpKQkkpKSCux3IflkSEhIvC4GiYuPwVcir94Q9vb2mJqasn//fszMzNi7dy8tW7YkNDQUb29vWrRoQXR0dIHFwccWztVV8mhlZYWzs7N4R61pBKVUKjE1NaVIkSLI5XJMTU2pW7cudnZ2hIWFsXv3bp3H6d+/PwCHDh3i7t27Bs1ViDgJRm+GYmtrS9euXfHz80Mul3PkyBH69evH1atX89yuYsWK7N+/n4YNG6JQKOjVqxf//fdfjnGDBw9m6tSpAMyePZvvvvuOmJgYMjIysLCwwMXFBVdXV509XITXXohoGBkZaVVV6IsgGgEpgiEhIWEQn2TOxdWrV5kwYQJbtmzJ8TuVSoWLiwv169fn4MGDREZGYmZmxqFDh6hduzYnT57E3NycRYsW4erq+lEIrTeJvb29+H8LCwuMjY1xcnLC1dUVKysrSpYsiY+PD5C1bKTr9axZsyatW7dGpVIxd+5cg+YhlIPq03AsP+RyOb1792bx4sWUKFGCly9fMmLECNauXZtr9EWYw6pVq6hevTqxsbF0796dp0+f5hg3duxYfvvtN8zNzTly5AgdOnTQavYmiDpBV+aE2AAAIABJREFUwAnLT5qRBsHQrESJEgU+P017dymCISEhYQifnLg4f/48TZo04ciRIzrv6oQSyM8//5z79++TlpYGwPXr17lz5w62trZEREQwffp0EhMTkclk77V3x9sk+0Uue9JhdgdPCwsLUlNT6dOnD1ZWVly+fJmDBw/q3PeoUaOQyWQcOHAg3yiBLgpTXAhUrlyZFStW0Lp1a9RqNb///juTJk3K807fysqKdevW4enpyYsXL/Dx8dHqjAr/t5Ry5swZKlSowPPnz/Hz82PJkiWkpaXl2L9mMmd2ISBEjgzJo5CcPiUkJAzlkxIXDx8+5JtvvqF69eosXLgQX19fQNvYS/h//fr1SUhI4N9//+XMmTM0bNiQJk2acPr0aWrVqsXu3bvp1KkT8fHxUnnq/yd7jkX2JRJNoqKiSE5OxsLCAjc3N/r27QvAzz//rDN6UaFCBb7++msga7mgoLwJcQFZgmnMmDGMGTMGExMTTp06xZAhQ3j27Fmu2xQpUoSNGzdSsmRJHjx4QK9evXRWDlWtWpWzZ8/SvXt3MjMzmTdvHn369MlxDtmTOTURIkdCHsWrV6/0FhmS06eEhIShGOzQWbt2bSpXrlywg8lkrFq1qqCHKzQ2bdqEr68va9asoWfPnnmOjYuLw8PDg7p163LmzBnq1avHvHnzqFixIunp6Xh5efHff/8RHh5ucBXDu3JO05eCOHnKZLJ8jZ3S09PFBNhnz57x7Nkz0tPTqVSpEmlpaXh6epKamsr69etp0KBBju2fPHlC8+bNSU9PZ9OmTaSlpWFmZpbv/A4ePMg///zDrVu3+Oyzz/jiiy90jrt+/bpeOQoVKlTQufwRHR3N2bNnSUlJwcTEhG7duomJv7p4/vw5EydOJCEhgfr167Nhwwadbp5qtZoNGzYwceJEUlNTKVWqFMuXL6dBgwaYm5uTkpJCTEwMkCVcTE1NMTMzQ6lUkpycrLV8kpycjJmZGcbGxjg6OuqdkKxpava20Pfz8b5/jgqbj8XZ8mM5j/edD8qhE7Ky7y9cuFCgbd61uLh06RJqtZpu3bqJzz169Ii1a9cik8mws7OjR48eWFtbY29vT/ny5Tlw4ADdunVj+vTpeHh4iBbM165dIyIi4rXKI993CmoNbW1tjbW1da7jhCRBoWrk5cuXODg4EB0dTcWKFenXrx9Lly5l1apVdO3aNcf2xYsXp0+fPgQHB7No0SJmz56tlx12yZIlefbsGbdu3cLKyirX/iShoaF6iZVjx47p7AoM4OrqytOnT1EqlYSEhGBkZETbtm11vpbFixdn3LhxTJkyhdOnTzN48GBWrFghvk4CMpkMX19fPv/8cwYNGsT9+/fp1KkTo0ePJjAwEKVSiYmJCcbGxlhYWIhiL7uhliD6BMEhGIVpIpQQW1lZSRELCQkJgzFYXLRq1Yo6deoU5lzeOELPiKioKEqUKMHt27dp1qwZL168EMcsXryYH3/8kUGDBjFx4kR2797N8OHD8fDwALK+6DMyMjAzM6N06dLv6Ew+bBQKBSqVCicnJ4yMjMQLtb+/P8HBwRw7doyzZ8/qdMIcO3Ys69at49y5c5w9e5ZGjRrpdUwhIiCUc+qDSqUiKSkJmUyGqakpJiYm+d7Bm5iY4O7uzosXL4iLi2PdunU8fPiQgQMHYmpqmmN82bJlGTNmDDNnzuTgwYP4+/uzYMECnWLEy8uLc+fOMWjQILZv386MGTO4fPkyQUFBmJmZ5dpAThNNwaErMqVZhiqJCwkJCUMxWFy0bt2aH374oTDn8sYpV64carWaK1euUKJECcaOHUuVKlWYMWMG9evXZ/ny5ezevZvx48ejVCoZPXo0jRs3zvElm/3OUqJgWFpailEOTYdJNzc3fH19Wb16Nb/88ovO0tTixYszePBg5s2bx4oVK2jQoIFeIXvhwluQnIv4+PgcCZLGxsYYGRmhVqsxNzcXK2A0kcvlFC9eHFdXV27evMnJkyd5/vw5/v7+ODo65jiOl5cXy5cvp2/fvmzevBkHBwcCAwN1CgxbW1s2bNhAo0aN8Pf35+DBg/j4+HD48GGd4qWgaEY2JCQkJAzlo0zo1Lwj0/y/YJ4UEhLCjRs3ePXqFYMHD8bX1xdPT0+mTp3K7NmzKVWqFPPnz+fKlSvS3dsbwNLSEjc3N9zc3AC0kkDHjBmDXC7n0KFDuVqC//TTT9ja2nLv3r08nT01KWhCZ3p6uigszMzMxKTdjIwMUlNTiYyM5MmTJ9y9e5e7d+8SHh6utW+ZTEbZsmWZMGECNjY23L9/n7Fjx3Lv3j2dx2vTpg3z5s0DICgoiCVLluQ6N5lMxsCBAzl+/Dj29vacPXuWH374gZiYGDEyo6s6RPM5hUIhtnnXRErilJCQKAw+SnGRnp5ORkYG6enpWol33t7edOrUiQMHDrBixQogqy22XC4nIyMDKysr2rVrx4gRI3j16hULFy58V6fw0aNQKAgPDycqKkpsya5QKLC3t+err74CYOXKlTq3dXR0ZPjw4QAEBweLrdzzQkhkioiI0GtpRBhjZmaGs7MzxYsXp3jx4jg5OWFlZYWtra0YKcjIyCApKYnY2Ngc+/Hy8mLmzJm4u7sTHx/PzJkztZbhNPHx8WHSpElAVtXMxo0b85xjjRo1+P3335HJZKxZs4YtW7aI89blsqn5nOTCKSEh8Sb56MTF1atX6dWrF1WqVKFy5cr4+vry999/i7/39fXFzMyMZcuWce/ePe7fvw9khbvVajVmZmb06NGDatWq6TQ4kigcFAoFSUlJqFQqMQ9AKGUVSk737t2bq4fIDz/8QJEiRXj27Fmuzp6auLu74+LiQkpKCidPnsx3vHBczaUGIyMjzM3NsbKyolSpUnh4eFCxYkUxKpJbMmjRokWZNm0aZcqUITExkZ9//lmnEAEYNGgQw4YNA7K8PU6cOJHnPNu0acP48eMBGDduHFeuXOH+/fskJyfn8KjQ9K3Q/L/US0RCQqKw+ajExT///EOTJk24cuUKHh4eeHp6snXrVry9vQkMDCQyMpL27dvTr18/rK2tUSgUnDhxQgxnC0solpaW2NnZvZPyu08FXXkXgulW8+bNsbe359WrV5w+fVrn9tbW1vTp0weA1atX59nfA7LyIFq0aAFkNd7LL3ohRLzy8zCRyWRi+WpeSwnm5uYEBATg4uLCy5cv8+xJMm7cOL7++msyMzPp27cvt2/fznMO48aNo1mzZigUCgYPHkxcXBxKpTLH8obmkoemodmrV6948eJFvp1eJSQkJPTFoKvn0aNHxbvL94XY2Fh+/PFHPDw8WLVqFfv37+fAgQPs3LmT1q1bM336dPz9/QkPD2fSpEkMGDAAtVrNuHHj2LJlCxEREaKYOHbsGOHh4bn6IUi8Ppp5F5riwtLSkoyMDNq0aQOQZ1Sibdu2uLu7ExcXx/r16/M9ZrVq1fSOXgiRi/zEhVKpRK1WY2RklG8Zq729PRMnTsTBwYEnT54wc+ZMnTkgMpmM+fPnU6dOHRITE+nZs6fOVu0CRkZGrF27lhIlSvDw4UMmT56MWq2WIhESEhLvjAKJi2fPnuHm5kZaWholS5Z87YML+/vzzz9fe18xMTHcuXOH9u3baxkwtW/fnl9++YV+/fqxYcMGfvzxR54+fcrPP//MzJkzsbe3p3///vj6+hIcHMyUKVMYPXo0qampomukxJtHSDCMiooiMzOTVq1aAVniIrd+HcbGxgwZMgSAzZs353vnXZDohSAu8oteaVqd6+MLUrRoUSZMmIC1tTX//fcfc+bM0ZkzYmZmxpo1ayhTpgxPnz7F19c3T7FQtGhRNmzYgJGREX/++Sfbt28X55bfskfRokUpVqwYRYsWzXf+EhISEvpQoJrKjIwMnj59WmgWysL+CuI9kBtGRkaoVCpx/VulUokmQVWrVmXs2LGYmpoSFBSEg4MDixYtYujQoTRr1oyVK1cSEhLCkSNHsLKywtPTk8OHD1OuXLnXnteHTEHMW/W5sOa2P4VCwdOnTzEzM0Mul5Oens4XX3yBtbU1z58/58yZMzo9VZKSkvjss8/w8vLixo0bLFu2jJEjR+YYFxsbK77HnJycKFKkCDExMRw4cIC6deuK49LT00lJSUGtVoviQqFQ5Hi/m5ubi46Y8fHx4vPCcwIpKSns3LlT5znXq1ePo0ePcv36dSZPnqxVkaLJqFGjGDNmDJcvX8bPz48dO3bkKniqVq3KxIkTmTx5MjNmzKBu3bp8/vnnKBQKTE1NSUpK0sohUavVovGWhYUFSqWSyMhIrKystDwz1Gq13kuE+hqvSUhIfNwYZNjQv3//QilVy8jIKLQvIwcHB2xtbTl58iSjR49GLpdrXczKli3LkCFDiI6OZv369ZQpU4bJkyfj5eXFwoULGTt2LPHx8aItsmY3T4nCQS6X67QIF1qxx8bGipbUdnZ2NGvWjNDQUPbv36/TLKtq1aoYGRnxyy+/0LZtWw4fPsyYMWNyOHC+ePFC6/2alpbGsmXLiIyMpH79+uLzCxYsyHEMXdUU1tbWuLm5oVKpxGhJ6dKlc3wm7t27l2eEr1KlSty4cYM7d+6wdOlShg4dmuMiXrJkSQICAggMDOTUqVPMmDFDrCjRxbBhwzh//jwHDx6kf//+7Nq1C8iyBbexscnxedO0CNfHQEty8JQobMLCwvId4+TkJJauS3wYFEhcmJub07hx40KdQLly5XK1UtYXtVqNnZ0dI0eOZPjw4QQFBTFo0CBkMplohQxZX+YjRowgPDycqVOn0rRpU/F8XFxcKFas2Gufz6eE5oVGX9MlzeZmwjbCRcrIyAhTU1NSU1MxNjamdevWhIaGsnPnTmbNmpWrEK1Rowbt27dn7969TJ8+nZCQkDznULVqVQAePHhASkqKzn4e+pCcnIxKpRLv/guKg4MDlSpVIiwsTIya9enTJ8d5VqlShWHDhrFgwQIWLVpE6dKl6d27t859ymQylixZgre3Nw8fPmT48OGsXr06hxW45jkIgkIfAy3JwVOisBASivPr8wRZ3xFhYWGSwPiAKJC4cHFx4ejRo29qLgYjfBl7e3tTp04dhgwZgrW1Nb169RIFhjCudu3aDB48mLNnz7J+/XoaN26MSqWSKkMMIPuFSR8sLS2JiooiLi4OhUIh+kYIFzZBdFhaWtKpUyf8/f15/Pgxly9fzrO50bhx4zh06BB///03J0+epGHDhrmOdXJywtHRkejoaP777z9RbBQUoZOpra2twRE4Jycn6tSpw7lz5wgNDcXGxkar941AkyZNePHiBZs2bcLf3x83NzeaNm2qc592dnZs2rSJRo0acerUKdavX4+/v7/OsVZWVrx69YrU1FSxi21eSA6eEoWFm5sbYWFhREVF5TkuLCyMnj17EhUVJYmLD4iP6opauXJlAgICcHR0pHfv3mzYsAH4P/EhiIwePXrQoEEDzp49S2ZmpiQsDETTK6Eg21haWpKZmUliYqIY/RCqIZydncUogJOTk5iAmV80onTp0vj6+gIwceLEPPOCZDIZFStWBPQLyWZHrVaTmJgo5ljY2NgUeB+alC1bVkweDgkJ4eDBgzrHffvtt3Tp0oXMzEz8/Py4e/durvusWbMm8+fPBxB7kEBW5Cg6OlpM7hSWp8zMzPQy1JIcPCUKEzc3N2rUqJHnI7dGgxLvNx/NVVUQDh06dGDBggWYmJjg6+srlihmv7OUy+VinwgJwzD0QmNpaYmNjQ02NjZa5lnCBU+pVBIdHU10dDTt2rUD/q+hXEZGRq77HTlyJI6Ojty5c4cff/wx1yoTyHLOhCyjrgcPHhRo/i9fvuTWrVvifO3s7Aq0vS46dOjAN998A2T5dugqPZXJZCxevJi6deuSmJjIjBkz8tzngAED6N69O5mZmUyePFl8TRMTE7USqfURiZLRloSEREH4oMWF5sVDJpOJP/fs2ZOVK1dib29P7969mT9/PgkJCaLAOHHiBM+fP6datWqkp6cXqCpC4vWxsrLC3d0dd3d3MZKRlpYmRjFiYmKIjIzk2bNntGrVihEjRiCTyQgKCqJz584kJibq3K+DgwPLly/HxMSE0NBQpk+fnuscmjRpgpeXF0qlkhkzZvDy5Uu95y/4Wjg6OlK+fHmD8i104ePjQ5UqVUhLS8vVt8PMzIy5c+cCsH///jxdZGUyGVOmTAHg+PHjPHnyBMhKaDU1NUWpVOqdoCnZhUtISBSED0JcPH78mB07djBr1iz27t0rNn+Sy+Va9tByuVwUGL169WLNmjXUrl0bf39/WrVqhb+/PyNHjhRdDCdOnIiJiYlUPveOES5spqamOe6MExMTGTp0KCtXrsTCwoJDhw7RpEkT8UKZnQYNGojLAUFBQaxevVrnOBMTE0aPHk3p0qWJi4tj2rRpes/X0dGRmjVr4uHhgYODg97b5YdMJhMTOo8fP86dO3d0jqtcuTINGzYkMzMz1/MTKFu2LA0aNECtVou9ShwdHbGxscHCwkJv0WDIEpiEhMSny3svLs6fP0+zZs3w8/Nj3LhxdOzYkbZt24p3pdmXNTQFRseOHVm5ciXz588nIiKCoKAgNm3ahIuLC8eOHaN8+fJv/XwkdCNYf1taWlKkSBGcnZ3F8uKUlBRatmzJmjVrcHZ25vr16zRo0IBr167p3FeXLl0YO3YsABMmTODixYu5HnP8+PEULVo012ZiujA1NX1jgtTDw0NM1Pz9999zjar1798fgHXr1uXrEyPkomzbtk007BJ8LQC9RIOUayEhIVEQ3mtxcfv2bdq1a0eJEiVYtmwZZ86cYdWqVSiVSgIDA/n22291frFqelx4eXkxfPhwLl++zKVLlzh79iy7d++mcuXKb/t0JLIhJHIKYXlnZ2fRwMnR0RFHR0eMjY0pUqQIxsbGNG7cmB07dlC+fHkiIiL4+uuvOXTokM59//DDD/Ts2RO1Ws2yZctyTX50cHBgwoQJYtfU94EePXpgYmLCrVu3uHr1qs4xrVu3xtXVlZiYGLZv357n/rp164adnR1Pnz7lxIkTorAQ8lcKIhqk3AsJCQl9MMhE600jeFMIboSBgYFi1UDdunWpXbs248ePZ/PmzSQkJBAUFISrq6vWPjTvLNVqNQ4ODoUawpYoONnvwjUTOTUvbkJpsOAcqYmnpye7du3i+++/5+TJk/Tp04fAwED69euXI5owffp0IiIiOHLkCDNnzmTChAm4uLjkmJetrS3Dhw9n6tSpep9LREREvmPkcrlenXUdHBxydD/18vLi8uXLLF++HB8fH2QyGcWKFcPd3V0c07VrV+bPn8+sWbOoV6+e1mul+X8TExO+/fZbgoKC2L59O02bNiU1NRVzc3Ps7e3zzTnSLNXWXEbRlWvyOk6tho6TkJB4/3gvxYXwBRUREYGpqanooiiUjVapUoUFCxbg4ODA2rVrGTJkCFu3bsXc3Fwco/klJ+VUGEZhv26abpBCCaTws+axdC07CImHcrkcJycn9u7dy6hRo1ixYgVTpkzhxYsXLFy4EGNj7bf09u3badSoEdevX2fZsmXs2bMHR0fHHHNr3rw5kZGR/Pbbb2RmZtKmTRudfhOQJVr0SeKMjIzUeazsxMTE5Fjeq1evHtevXyciIoLw8HDKli1LWlqaVnM0X19fNm/ezPPnz1mzZg0jRowA/i/hVJMBAwYQFBTEn3/+yYMHD3BxccHc3FyviIXm5ym3v5mEhISEJu/1soi9vT0JCQliCFboFaJWq0X77i5durBv3z5xDdrIyEj80jt9+nS+IWOJt0f25MGCrOML20JWGN/W1pYlS5Ywe/ZsZDIZwcHBdOrUSTS2ErC2tmbVqlW4urry+PFj/Pz8cs1RqFKlCt999x0ABw8e5I8//nid030trK2tqV69OgCnTp3SeRdvaWnJuHHjAFi5ciWPHj3KdX+VKlWiUaNGqFQqQkNDc/QPyQuh54gQYZJyLyQkJPLjjYuLzMxMXr16lafnQHaEL9JOnTqRnp7OxIkTgf9L1hQEhru7O9OnT6dx48aEhIQwa9YscR/R0dHMnj2bHj16EB0dXbgnJWEQr1NxYGVlRWpqqujiCVlic8SIEWzbtg0LCwv++OMPGjdunKOSpGjRoqxbtw47OzuuXLnC0KFDtaqMNKlfvz5dunQBsjqtnjt3rsBzLSzq1KmDiYkJL168ECukstOiRQsaNmxIeno606ZNy3MpYcCAAUBWNMfGxkYsRc0NIb/i1atXb6wMVcrhkJD4OHlj4iI6OpouXbpgYWFB8eLFsba2pl27dhw7dizfbYXIg6enJy1atCAkJISFCxdmTTibwChfvjwLFizAzs6OkJAQHj9+DGSV2/Xs2ZPLly/rFZqWePO87l2vQqEgMzMzx0WuY8eO/P333xQtWpQbN27QunVr4uLitMZ4eHiwevVqzMzMOHz4sOj/oIsvv/xSzPFZuXIlly5dMmi+r4ulpSU1a9YEco9eyGQysaT65MmT/PXXX7nur0OHDri4uPDixQt27typ9VrqushrRotyE4UKhYJHjx7x6NEjgwSC5J8hIfFx8sbExYABAzh8+DBjx45l06ZN/PLLLyQlJdG8eXN++uknvfZhZ2fH7NmzMTU1ZeLEiSxatChr0tkExueff05AQAA3b97U8gbo2rWrVBXykZCcnIyZmZnYAyM7X3zxBfv376dEiRLcvXtXp29F7dq1WbhwITKZjDVr1nDgwAGdx5LJZHTv3p1atWqRmZnJ4sWLWbduHampqYV+XvlRq1YtICt/IzfzMM1GZnv27Ml1X6ampvTp0weAyZMn8/jxYzESpOsiL0SaihYtmqsoTE5OJjExkcTERIMEguSfISHxcfLGxMWRI0eYO3cuU6dOpVu3bgwbNoxjx45x+PBh1qxZw6+//qrXfipUqMDevXuRyWQEBgZqCYzMzEzxbu6zzz4DEMWFlGn+cWFlZYWtra3O1uYCrq6uYkQit/LTdu3aMXjwYCDLLvy///7TuS+5XM6AAQNo2bIlAEePHiUwMJD79+8XxunojWaCqqmpaa7jhPe/LttwTUaOHEmFChV4+fIlY8aMwdjYWEzQFI6VPb8ir9wMKysr0crdEIEg5XBISHycvDFxUaRIETw8PHI837x5cyZPnszixYv13le9evXYunUrarWaCRMmMGfOHCAreVMokXv27Bk2NjaUKVMGkCpEPhaEcD3o58fQpk0bmjdvTkZGBgEBATrHjBw5krp165KUlETfvn2Jj4/XOc7Y2BgfHx9GjRqFg4MDr1694ueffyYmJuatiVehAZtcLteqFMmOk5MTkL+4sLa2ZtOmTVhaWnLmzBnmzp0rRhyEjqgFWaawtLSkdOnSeYo+CQmJT49CFReaSWeDBg0S7Yaz89lnn/H8+fMC7bt169YcOHAAU1NTxowZQ48ePbh16xZRUVHs3buXlStXUqJECXGNWuLjoCBr8hYWFhgbGzNz5kyMjIwIDQ3VmeNjYmLC8uXLKVmyJA8fPmTYsGG5JnhClt329OnTqVu3Lmq1mtjYWO7fv/9WlkmEyhYLC4s8BbMgLvRJXq5cuTJLliwBshrCnTt3Tmt5JLelJwkJCQl9KVRxUb58eezt7WnSpAnPnj3j8OHDDBgwgGfPnmmN27FjB//73/8KvP8GDRpw5swZ2rZty44dO6hevTqenp74+fnx5MkTtm3bRvHixQvrdCTeAwqyJm9paYmjoyPVq1cXO4z6+/vrFA6Ojo6sWLECc3Nzjh49KkbD8tr3wIED+f7775HL5aSkpHDv3j2io6PfaBRDEBfm5uZ5jhPEheAlkh/ffvst/fr1Q61WM2zYMGJjY8W8FkCrKkcXUpWHhIREXhSqidbx48e5cuUKly9f5vjx47x8+ZKVK1eydu1aqlSpgru7O/fu3UOpVHL48GGDjlGhQgXWr19PWFgYe/bsITExkXLlyvH1119ruRdKfNgIF2xNl87sF/G8Lurjx49n//79XL16lS1btohiQ5MKFSowc+ZMRowYwdKlS/n222+pW7dunvOqXLkyJUqUICYmBoVCQUREBPHx8RQrVgwTE5Mc89Pn4mtnZ5dr23ehrFYmkxEVFZVn91Zzc3NSUlK4e/cupUuXzve4kyZN4uLFi1y+fBk/Pz9CQ0NF4ZScnCyKNaVSKS4/CigUCkxNTUlOThaFjy7zLgkJiU+TQhUXDRs2pGHDhuLP6enp3Lhxg8uXL4uPx48fk5SURPny5cUyt4Jib29PvXr1qFevXmFNXeItUJA8GH1agRsbG+e6z0qVKjF27FgCAgJYtGgRffv2xcbGJse4gQMHEh4ezoIFC9i5cyc+Pj75VhiVLl0ae3t7du3axdKlS8W7+L59+9KuXTvx7j80NFSvMuhbt27h6emp83fC0ouzszOlSpXSaV8u4OTkxNOnT8nIyMghdHRhY2PD5s2bqVOnDufOnWPSpEkEBgaiVqtF4Sb0IElISMDe3p64uDjs7e0BxEZzhuQ36bONlDclIfHh8kZNtExMTKhevTp9+vRh8eLFnDp1ivj4eG7fvk1ISMhr7VvzrlWqDPn4KKj/ga4wfY8ePShdujQvX74U27DrYurUqXh7e5OSksL3339PTExMvseTyWR07tyZ1atXU7FiRRITE1m4cCFdu3YlJCSk0HwbhPPRJ1lSSMgsiGlcmTJlWLVqFZDVon7Pnj2Ym5vj7OyMo6OjmMfi5OSU418nJye95iUtoUhIfHq8dftvmUxG+fLldYapC7ofXf+X+DgoqP/Bq1evePnyJa9evRKfK1KkCJMmTQJg0aJFOZw7BYyMjFi7di1ubm48e/aMYcOGia3J88Pd3Z2goCBGjBhBsWLFiI2NZfny5XTp0oWTJ0+SlJSk135yQ7gg62PVLURJCupI2759e0aOHAnAqFGjiI6OxtHREUtLSywtLSlSpIjOgCowAAAgAElEQVQoJjRFhUKhICoqCoVCgUKhIDo6WpyvpqCQjLIkJD493uveIhKfLq/jf6BZvtqlSxe++OILUlJSGDt2bK429A4ODixZsgRLS0vOnTtHYGCg3tUgxsbGdO7cmU2bNjF+/Hjc3d1JSkri3Llz/PLLL+zduzdXAyx9zgX0i1zoW46qi2nTptGwYUMSExPx9vZm37594vGF/BLhZ01BIXS1FfJBBHGnKSgkoywJiU8Pg3MuMjMzOXr0KOfPn+e///4jNjYWpVKJhYUFDg4OeHp6UqdOHZo0aZKjU+X7zIMHDzhx4gTnzp3D3Nyc6tWr06ZNG4oWLfqupyaRB0WLFsXKykrs2ql5pzx+/Hg6d+7Mrl278PHxYdWqVVhbW+fYh6enJ3PnzmXw4MFs3bqVCxcuMHXqVLErb34YGxvTunVrWrZsyalTp1i8eDEvXrzg9OnTXLhwgf/97380atRI74vs/fv3uXnzJpAlfvLiypUrHDp0CCBPP4y85r5x40ZcXV1JSEhgxYoVtGvXTsy5EEy1NAWF8LPwryaa3VOFCIiEhMSng0FX/fnz5zNr1iwx/JpbzwPICtWOGTOGn3766b1fvjh//jxdu3YlIiICQCxhbN26NT/++COtWrV6l9OTyIPsFzDhwgbg5eXFnDlzGDduHHv37qV58+Zs3bpVZ3VRq1atWLZsGZMnT+bRo0f4+vrSsGFDevXqRZMmTfSqhpDL5TRq1IjY2FhiY2M5fPgwT5484fjx4xw/fpwyZcpgZ2eHtbU1NjY2JCQkIJPJxJ8tLCx4/PgxISEhZGRkULFiRSpVqpTr8U6ePMnQoUNRKpV89tlnBi85ajqaDhkyBMhajlEqlVqvbVxcnLg0Ijwv/Cy85pKgkJD4tCmQuFCr1XTu3JnQ0FDUajW2trbUqlWLsmXL4uDgIPZ+iI2N5cGDB/zzzz9ERUUxevRoTpw4we7du99bgXH79m06dOhAxYoVmTp1Ku3bt+f8+fPs2LGDjRs3kpKSQrVq1V7LRyM1NVUr1J69PbhE4ZD9wmZhYUHXrl1xcXFh+PDhXL9+nYYNG/Lrr7/SoUOHHGWWrVq14n//+x8LFixg/fr1nDx5kpMnT+Lq6kqPHj2oWrVqvpEEyBLYnp6eeHh4EBYWxuHDh1EqlTx8+DDH2NOnT4v/F+ajUqnE/KTcRM3+/fsZPXo06enpNGjQgMWLFxsUuYCsJm2Q5YHRoEEDoqOjiYmJoUiRIlqvp1AtoomlpSUWFhY5XksJCYlPkwKJi6VLl7Jnzx5cXFyYP38+Xbt2zXPJIyMjg61btzJy5Ej27dvH0qVLGTp06GtPujBRq9XIZDIOHTqEvb09U6dOpXHjxkBWd0wvLy9sbW1ZtGgRBw8eFBs/GcLMmTPz7MYp8WYQ7r6//PJL6tSpQ9euXbl69SrffvstlSpVYtSoUWKbdQEbGxsCAwP57rvvCAkJYevWrTx58oRZs2ZhampKy5Yt+frrr3Va3GdHJpNRuXJlKlasSFRUFM+ePSMxMZGkpCQSExN58eIFmZmZJCUloVAoxLwQT09PunfvnutnbOfOnQQEBKBWq/nyyy/FJn+GlHgnJycTGhoKQPfu3YmOjiYiIgIjIyNkMpm4LKi5BBIVFSVFKCQkJHQiUxegjrNmzZpcu3aNS5cuUbVqVb0PcvXqVWrWrEm1atXeWfvq/Ojfvz/nz5/n2rVrQNaSiHC3eOHCBZo0aUKfPn1YsmQJKpXKoDs0XZELV1dX4uPjsbW1LZwT+QjQ9y0pCENNdPljKJVKZDIZSqUSpVKJSqVi3rx5rFmzRowelS1blt69e9O1a1edd/5KpZK9e/eybt06wsLCxOc/++wzOnfuTKNGjXKIAEN8LoQ26GlpaTg6Omqdn6WlJe3btwdg3759+Pv7o1Kp8PHxITAwUHy/ZmRk4Orqmu9xMzMzxddo8+bN+Pr6UqZMGU6fPi06fSYkJFCuXLkcOUdRUVEkJiaSmpqKm5sblpaWqNVqvT8X+kQwExISsLOzy/fzoe+4j4VLly5Rs2ZNLl68SI0aNd71dN44wvlu2LAhz+VByFqec3Nze0sz+zB4V5+PAkUu7ty5g5eXV4GEBWR9AXt5eeXagfJdIggFza6QgFYYunbt2tSvX1+rnbshmJmZGRyyltAPzWROzTtqtVqNUqkURWNgYCADBw4kJCSE4OBgHjx4wKRJkwgKCqJfv35069ZNq/zTzMyMLl268PXXX7Nt2zb++usvTpw4wdWrV7l69SqOjo60bNkSb29vsXleenq6XhUn6enpWiWrcrkcc3PzHKWbcrmc1NRUjhw5wqhRo1CpVHTp0oWAgAAyMjLEiEVKSopenhKZmZni+3HTpk0AdOzYUfy9lZUVrq6umJmZ5RB8lpaWREdHY25ujkKhwMLCQst8Kz/e1+VRifcPIZ+nZ8+e+Y61tLQkLCxMEhjvAQWKXDg6OlKkSBGDRIKHhwcxMTF6GRS9DVJSUrT6NZw+fZqWLVuyadMmOnToID4v3B13796dqKgo/vrrr0Kbw6d2x/U2SE5OFiMXQnKh8BbPzfUzOTmZ3377jXnz5okN9ZydnRkxYgSDBg3K8bdRKBTIZDIiIiJYtWoVq1ev1vLX8PLy4ptvvtESGnkRHh6u198/MzOTu3fv8s0335CWloaPjw/BwcE6rbn18cVQq9VYWloSFRVFqVKlyMjI4I8//sDKyopixYphbW2Nk5NTrrbekZGRREVF4eTkhLOzs85IUm5IkQvdhIeHExUVleeYsLAwevbs+clELkB6XV6HDyJyUb16dY4ePcrWrVvp1q2b3ttt3ryZBw8e0Lx58wJP8E1w9epV1q9fT61atcTM+vLly7N161aKFy+u80vSxcVF9CpIT08X7ZVjY2P1Su6TeDtoiors5JYfYGVlxcCBA+natSu7du1iwYIFPHr0iHHjxjF79mwGDx7MkCFDKFasmNZ2xYsXZ8KECYwePZp9+/axdetW/vjjD27cuMGNGzcIDAykbt26dO7cmXbt2r32++TChQsMGjSItLQ0OnXqRFBQUKEkUO7YsYOMjAyqVatGqVKlUKlUpKamai2F5CbMdCV3ShhGeHg4lSpV0ivqZGlpKfqafAq4ublJ0YgPjAJ9M/3000+o1Wp69OjB4MGD+ffff3M1JVKpVPz7778MGjSIXr16IZPJGDFiRKFM+nU4f/48TZo04ciRI1oha2dnZ9q2bUuNGjV0un8aGxtTsmRJAFFYnD59mkmTJrF37963eAYSb4Lk5GSMjIzo3r07t2/fJjg4mLJlyxIXF8eMGTMoU6YM/fr149atWzm2NTU1pXPnzmzevJn79+/z66+/0qBBA9RqNWfPnmXUqFFUq1ZNbA5miKHW5cuXGTx4MCkpKbRp04bVq1cXmn/Mxo0bAfjqq69wdXXF2dkZV1fXHNGd7C6bkjlW4SKYk23YsIGLFy/m+ZBC/xLvOwVaFgGYNWsW48ePF382NzfHzc0NBwcHTE1NSUtLIzY2lvDwcFJSUsRx06dPJyAgoPBmbgAPHz6kadOmlC1blkmTJolVIcI6vPBS6ArZdu/eHWtra7Fc79y5c/z0009cunSJmzdvUq5cuQLP52MK577P6PMWF+7MhehGVFQUcXFx7Nmzhy1btnDx4kVxbKtWrVi6dGmOSEZ2rl+/zv79+9m5c6eWKJHL5Xh5edGkSRO6dOmCubl5nn//S5cuMWDAAJKSkmjatCnbtm3LswV7QZZFIiMjKVeuHDKZjLCwMJ3VL2q1mtTU1HwbyUnLIq/Hp5aoWdhIr59u3tXno8Ax1bFjx3Lq1Clat26NiYkJSqWSO3fucO7cOdHZ8s6dOyiVStGx8OTJk+9cWECWIHj27Bl9+vQRhQX8X/KmTCZDJpPpvBhlZGSIf5jTp08zatQobt26xfnz5w0SFhLvN5aWltjb29O1a1dCQ0PZt28fX331FTKZjD/++INOnToRHx+f5z5KlCjB0KFD+fvvvzl69Cg//PADZcqUQaVSce3aNX799VcaNWrEd999x8aNG4mLi9PaXqVSsWLFCnr16kVSUhI1a9Zk8+bNeQqLgnL8+HEA6tSpg4eHh5a9d/bXQ7Bjf9eNyFJTU0lISNB6SEhIvF8YFFetV68e+/fvJzQ0FHt7e9H+W0iSFOy/q1evrrPN9bvi0qVLqNVqrXyRR48esXbtWmQyGXZ2dvTo0QN7e3sx5Czcjbm4uGBnZ8eVK1fw9/fnxo0bnD59mmrVqr2r05EoRISwv2BnLTyEHhqNGzemTZs23Lx5E29vb27cuIGPjw+7du3SqwKo0v9j77zDorjaNn7P0ntTFIyABRSsGBtiib1EjTV2TWLUqDFqjIkdYjQaG2psyRs1aozGEnvX2BF97Q2wYYsgYANB6t7fH3wz7y5FUVl2V87vuva62JnZmXsOZ2buOec5z/H1ha+vL8aNG4fo6GiEhoZi8+bN+Oeff3DlyhVcuXIF06ZNQ+PGjdGhQwdUqlQJEyZMwNGjRwFk5VwJDg4u8C4IORutPBQ2OTkZmZmZSjnkRm4jcvKKydAFIl+MQGD4vFWnbYcOHdCgQQPl7cfQkYfKxcfHw93dHREREWjSpAliYmKUbX7++WcMHz4c3bt3V6awBrICNyMjI3H8+HFhLN5B5Lkwsj8YsweBVqpUCX///TdatWqFI0eOYODAgVi+fPlrBVa6ubmhc+fO6Ny5M+Li4rB06VLs3r0bERER2Lt3L/bu3atsa2FhgQkTJqBLly55xje9DQ8fPgQA5SUgOTkZDx48gLu7u7KNnB9ENg6a84bIpiIpKQkWFha5lmFBM3bsWHz99dfKdzlfjEAgMBzeOtQ8vyEbO3fuxKlTp972cG9FuXLlQBLnz58HkNXFU6lSJSxbtgyRkZEYOXIkSGLixIlYvnw5kpKSlL5hKysr/PPPPzh9+jSOHTsmjMU7hhx9n58HY4UKFfDLL7/A1NQUGzduxLhx4974uMWLF0fPnj2xefNmbN68Gf369YOLiwsCAwPh6+uL9evXo2vXrjrLCyEPoZVbRGQT8eLFC2UbebIyOZhTs4tEbsUAoMRlZO8uKehuFAsLC9jb22t9BAKBYVFoEwFMmzYN9erVK5RjaRoezb/lpt/Vq1fj8uXLiI2NxZAhQ9C3b194e3tj8uTJmDFjBtzd3TF37lytfB7169eHj48Pjhw5gmrVqhXKeQgMk5SUFAQGBmLOnDkAgAULFmD+/Plvvd+KFSti7NixOHToEObNm4eNGzfCx8fnrff7MuRWu2LFiiE5ORkuLi4wNzfXyixqbW2d56gQecSIPCut3HqhSW4jTQQCwbvNa3WLTJ48GStWrIC/v7/ygE1PT8/Xb9Vqdb5bOd6W9PR0qFQqJR2xHLDZrFkzdOjQATt37lTGiHfs2BFAVsCmjY0N2rZti8ePH2PQoEGYO3cufv/9dwBA27Zt0b59+3ylcxYYJ68a7SDHXwBZQcA9evTAw4cPMXXqVIwbNw4RERFo3rw5GjRoABcXF2RmZuarKyMzM1OZgRfIGk0iZ7zUXJ6enp6v6+3Fixf56qbJzMxUukU8PDyQnJwMZ2dnZS6WpKQkWFlZwdzcXGnRyX4+lpaWSoApSSQnJ8PGxkbrWtfsRnnZiCyBQPDu8FrmQpIkREVFISoqCps2bQKQldjH1tYWlStXRrVq1ZRP1apVlX7ctLQ03Lhxo1CSvly4cAE//vgjzp8/D7Vajdq1a6N///5o0qQJAKBv374IDQ3FokWL4OTkhJs3b6JcuXIwNTUFSVhYWKBXr15YuHAh7t+/r+xXM/5CYFzk90H2qgey3D1gbm6u1OXvvvsOcXFx+PXXX7Fy5UqsXLkSkiTB398fH3zwAZo1a4b69eu/tLvFyckpX1O5p6Wl5Su3hSRJMDc3f+V2arVa6RYpWbIkrK2toVKplDTpcheJPIoqO7LZ0gyAza11Q0xuJhAUPV7LXEycOBF9+vTBuXPncPbsWUydOhWmpqZISUnBqVOncOrUKa2bkKenJypUqICoqCjEx8ejdevWBX4Cmvz3v/9FixYt4OrqivLly4Mk1q1bhzVr1mDChAkYNmwY2rVrh9OnT2PhwoVITk7GkSNHUKpUKVhaWipvrtbW1nBwcBDTRxdh5EBFGTnzZ/aARRsbGyxatAgfffQRdu/erYz+OHv2LM6ePYs5c+bA3NwcAQEBaNKkCZo0aYIaNWoYxBwz6enpePToEQBomYLsM58CUK4LzXOXzZa8rdxqIYyEQCB47dEiXl5e8PLyQseOHTF16lTUqVMHe/fuxeXLl5VJnC5cuICLFy/i9u3buH37NoCsCPkff/yxoPUrPHnyBMOHD0f58uUREhKC+vXrAwC2bduGxYsXY8qUKbhz5w6Cg4MRFBSE9PR0LFiwAOPGjYNKpUKLFi3g5uYGADh06BDu3r2LHj166EyvwLCR4wSePn0KR0dHJCUlKUGMarUa8fHxyrwa1tbW8PPzg5+fH3788UfExMRg7969OHjwII4dO4aYmBgcPnwYhw8fRlBQEExNTeHr64uqVauiatWqqFy5MqpXr17orWOycVCpVMjIyMC9e/e0Rl0kJyfDwsICz549g4ODQ47hqZom5O7du4phEuZCIBC81VDUP/74Ay9evIClpSVq1qyJmjVraq2/c+cOrl27Bmtra1SvXl2naYIfP36MyMhIDB8+XDEWANCuXTt4eXnhvffew9KlS/HkyRPMmzcPU6dORalSpbB48WIMGDAAjRo1QpcuXRATE4MdO3YgNTUV/fv315legWEjt1LI3R+adffFixe4fv260pVRrFgxZVZTa2trlC1bFl988QUGDBiAFy9e4MqVKwgLC8OxY8dw+PBhPHr0CJcuXcKlS5ewevVqZb/u7u6oVq0aGjZsiNatW8PX11ensQlyjgs5iNPCwkIxC3Ksh4mJCZydnZWWC000s5laWFggNTX1lVlLBQJB0eCtzEXPnj1fut7T0xOenp5vc4h8Y2JiArVarQSXqdVqpa+4SpUqGDNmDMzNzbF48WI4OTlh3rx5+PLLL9GkSRP89ttvWL16NQ4cOAAbGxt4e3tj7969IvNmEeZlcQLJyclKOl255cLW1lZZHx8fD2tra1hYWODFixfw9PRE2bJl8dVXX4Ekrl+/juPHj+PixYu4fv06rl27hlu3buHBgwd48OABdu3ahbFjx8Ld3R0NGzZEo0aN0KBBgwK9lu7cuYMBAwYAAMqUKYP33ntPOW/5HOVzkwOj80L+TYkSJUSrhUAgAPCW5sKQcHJygr29PY4ePYpvv/1WGS0iU7ZsWQwdOhSPHj3CqlWrUKZMGQQHB6Ny5cqYO3cuxowZg2fPnsHU1BQuLi5itkcBgLwzT6pUKnh7eystG/IkUvHx8UocgoWFhdJ1IP9WkiQ4OzujTZs2aNq0qWJC1Go1jh8/jmPHjuHQoUO4evUqHjx4gLVr12Lt2rUAsoIuGzZsiAYNGqBRo0bw9vZ+o5aN06dPo0uXLoiNjYWrqyu+++47ANDSqtnloTlPSfYgTvl3wlQIBAJN3glzQRIODg4YNWoURowYgcWLF2Pw4MHKPCHyDdjX1xcjR47E3bt3MXnyZDRu3FiZY6REiRKiSVeQg9xSXQN5TzWe3UzkFgSpmUzq+fPnePz4Mdzd3VGrVi2UK1cOI0eOhLW1NU6dOoX9+/djz549CA8PR0xMDNatW4d169YByDIbDRo0QL169VC3bl1UqVLllaNJtm3bhk8++QQvXrxA5cqV8csvv8DNzU3RLaf+BqD8nd1caKZJz242CjMNuEAgMFzeCXMhm4dmzZqhTp06GDp0KGxtbZWp3jXH1teuXRtDhgzBiRMnsGrVKjRq1AhqtVqMDBHkimaOBk2ePn2a69BqzW4FtVqd43dyi4aJiQmsra1x7949pfsEAOzt7ZWHe61atdCoUSOMGDEC0dHRuHnzJi5cuIB//vkHZ86cQUxMDNavX4/169crx65VqxZq1qyJevXqoU6dOnB2dlaOvXDhQnz77bcgiebNm2PlypU5gkjlIE9ra2tFo6xb8yOfe3JyMhITExEfH6/kysjNjAkEgqLFO2EuZPz8/DB27Fj0798f/fr1gyRJ6N27t2Iw5FaMXr164ZdffsGJEyeU6dYFgtzIq8lfs+Uit7f3jIwMvHjxApIk5ToZmvx36dKllWBQzRYN+ffW1tZwcXGBi4sLfHx80K5dO3zyySd4/Pgxbty4gbNnz+L06dM4c+YMEhMTlVEps2fPBpCVqrxOnTrIzMxUgkf79++PkJAQpKWlKfEhmh85mFM2EHJyLLnFQvPcNQM65aGouZkxgUBQtHhnzIVsHNq3b4+QkBD0798fffv2BckcLRhAVp+5qampMBaC10bTIGR/8FpZWSnrLS0ttboarKyslA+QVWetrKxgamqKZ8+ewdzcHKampkqGTDlLp4yc5VaSJFhaWqJOnTpo1aoVUlJSoFarcf36dVy4cAFhYWE4efIkoqKiEBkZicjISGUfP/zwA7744gskJCQgNTUVQNZIKzmgU25BcXFxUY6tVquVc5INh2a3j9xioWlQBAJB0caozYVmd4YkScr33r17gySGDx+Ofv36IS4uDp9//rkywdGRI0fw4MED1KlTB+np6TA1NRXpiAX5rgNyQi3N7/LbukqlUtaThImJibJO08gmJycr2TFdXV1hZ2enFauQ22RccjyFq6urVlxHeno6TExM4OXlBVdXVzRs2BBmZmZISEjAgwcPlIRe3bp1Q9euXREfH4/nz5/DxMREMT+PHj2CtbW1YnA0zy8lJeWlCbLk85UnKBPxFgKBwCjMxZ07d3D69Glcv34dlSpVgq+vL8qXLw+VSqXVraFSqRSD0adPH9jb22PatGn45ptvsH79egQGBoIk9uzZg6dPn2LixIkwMzPT89kJjJ2Xva3ntS4pKQmJiYkAsh7OcoIuTfIKjtTsXrl79y4yMzPx7NkzJXZDHoFSvnx5uLu7K/lnzM3Ntbpe5FYUWUf2YFRZw927d2Fubq5oycs85BX8mh3N8xLdJwLBu4nBm4uTJ0+iZ8+eiI2NVdIxe3t7o0+fPpgwYUKObg1Ng/HRRx+hXLly2L9/P+bOnYvFixfDwcEBvr6+WLdunc5nnBQI8sLGxkaZeyevB+yrHtZycGhUVBQyMzPx9OlTuLm5wcXFRZnl9Pnz50hOToaJiQlcXFxgb2+vmBMrKyuttN65GSH5GCkpKbC2tkZGRgZiY2O1TIZmqvS8Zk/N67yEuRAI3k0M2lxERESgbdu2qFixIoKDg+Ht7Y3w8HAEBQVh0qRJuHr1KpYuXao1VA6AkuNCkiRUrlwZlStXRr9+/RAbGwtLS0s4OzsrN3aBQB9YW1vDy8sLAPKcLfhVwZGyEXB3d0d8fDycnZ1RunRpODs7K92Ftra2SE1NhaOjo9bIDwBKK4dsRDSDO7MfQx6mnZSUhNTUVC3TI5sFU1PTfKUwF0GfAl0SHh7+ym2KFSum5KYR6AaDNBeyMdi4cSNUKhUmTZqE5s2bAwDq1q2L2rVrY/z48Vi7di0SEhKwePFirTkRAO3+c5JwcnKCk5NToZ6H4N2ksHI5vCo4MrcWh+zGwMPDQzEPcitDYmIiYmJi4ObmprVc7jbJvg8rKyvFrMgzn2qag9c1C3nNnioQvA1yRtnevXu/cltra2uEh4cLg6FDDNJcyMYgOjoa5ubmCAwMBJCV1EelUqFSpUoICQmBk5MTVqxYgaFDh2LdunWwtLRUttE0FyJYU1CQ5De2oLCQTYSMWq3OsV5TZ3x8PBwcHJCamgorKytkZGQAyOrSyM/5aO5P02hlb0HMzYQV1XiLu3fvKjlE8iI/b9yCvPHw8EB4eHi+yrl3795KbhaBbjBIcyHj6OiIhIQE5W1KniuEpJK+OykpCRs2bMCAAQOwatUqrRiM48ePIzo6Gl26dNHjWQjeNQq7WT/79O+vM9wzew4OzaGjcsxFcnKyEoshd49oHiu7adBE02hl3y43E1YU4y3u3r0LX19frWDavJC7qQRvhoeHhzAMBoJBmgu5W6RDhw6YM2cOJk6ciMWLF2sFa5KEp6cnpkyZgri4OKxevRqVKlXCmDFjAACPHj3CjBkzsHv3bjRu3BguLi56PivBu0Jh53LIPv179q6Ll5E9XTfwP/3ytZR9dEj2Y73MXLzMaOW2rijGW8THxyM5ORl//PEHfH19X7qtiAUQvCsYpLmQuzG8vb3RvHlzrF69GhUqVMCIESNyGAwfHx+EhISgcePGWL16NXr06AFPT0+4uLigd+/emDZtmjAWAoMlP/Eb2ad/fx1jk9vw0ldtL7dcpKWl5ZpvI/v28r6zB6bmZsLkZUWxq9LX1xc1atTQtwyBoFAwSHMh4+DggBkzZiAwMBATJ06EJEkYPnx4DoNRvXp1jB07FmPGjEFkZKQyNXXXrl31fAYCwct5WbeCjJyPQnMSvpfx4sULZSRI9oygmsgp8bMfSzOZlnzcvEa0aFLQc/Tk55gCgcAwMfjZuipUqIBt27ZBkiRMmjQJ8+bNAwAlgZZ8A6pWrRoAKKmOxY1JoCvk2J9XfeTA4pd9bGxslNwQr7u/Fy9eID4+XpnDRHO53BWiUqny/JiYmOS6XFOTvF1Bna/8EQgE7zYGby4AICAgAOvWrQNJTJgwATNnzgQA5eYIAP/++y/s7OxQpkwZAGKEiMA4yCs7Z37QbPXIvs+8klnJKbpfFlxobW39WprkfcrzkggEAoFRmAsAaNWqFXbu3Alzc3N899136NWrF65evYr4+Hhs27YNv/32G9zd3fH+++/rW6pAUCjkZSKsrKzyNAd5GRJN8mNAXnefAoGgaGHQMRfZqV+/PkJDQ/HNN99g48aN2LBhA6ytrZWI9127dsHNzU3fMgWCQlFJjBsAACAASURBVOFNRq3kNloje1Dp6+bxKIojQAQCwcsxKnMBZMVgrFq1CuHh4diyZQsSExNRrlw5dO7cWQnkFAgEuaOZb0L+npSUhISEBMTFxcHLy+uNMm7K088LBAIBYITmAshKrhUQEICAgAB9SxEIdIIuU4xnb5mwsbFBXFwcLCwskJSU9MYxIC9evCiUtOgCgcDwMZqYi+xoviWJNybBu4Yu4xiyx2rIk6jZ29u/VdfGqzS/biyHQCAwXoyy5QLQHg0iRoYI3jV0GceQW9dIQWQdfZXm143lECZEIDBejNZc6IqIiAhs27YNly5dQokSJVC3bl106NBBa84SgUDX6DrF+Kse9G/SLSMn4MqL1zVMwlwIBMaLMBcanDx5Eh06dFBuuLGxsQCATp06YcCAAWjZsqWeFQoEBYPmgz63bkVN82FpaVkgmTdf1zCJuA2BwHgR5uL/uXv3Lrp3745KlSrhq6++Qvv27REaGoqtW7diwYIFuHjxIsaMGYPPPvtM31IF7xgF3a2Xn/29qkVC03zkV19BZ98UQ1sFuiQ/U9yLieTeHGEu/p9r164hOjoaU6dORfv27QEA9erVQ7Vq1fD+++9j4MCB+Pbbb/HkyROMGjXqjY6RmpqK1NRU5XtCQkKBaBcICpqXTUimy5EsAoGuKVasGKytrdG7d+9XbmttbY3w8HBhMN4AYS7+nwcPHiAtLQ1NmjQBAKSnp8PMzAw2Njbo2rUrHB0d0b17d0yfPh1OTk5v1IIxbdo0fP/99wUtXSAoVF43MFMgMCQ8PDwQHh6uzP6bF+Hh4ejduzfi4+OFuXgDiry5kGea9PHxgYmJCTZs2IAhQ4bAzMxMa7vmzZtj2bJl6Nu3L2bNmoXSpUujefPmr3WssWPH4uuvv1a+JyQkoHTp0gVyHgJBYSEycgqMHQ8PD2EYdIzR5rl4W1JSUgD8r3+6UqVKKFu2LP7880/cu3cv19+0bdsWc+bMwe3bt7Fs2bLXPqaFhQXs7e21PgKBsfG6E5sJBIKiR5E0FxcuXMCECRPw119/AQAyMzNhZ2eHmTNn4ty5cxg/fnyuTWYmJiZo3749unfvjr/++gtbt24tbOkCQaEgEl4JBIK3och1i5w8eRKtWrWCl5cXqlatCgBKDouAgAAMHDgQP//8M0xMTDBr1iwUL14cwP+6T4oXL45u3brh999/x+nTp5XgT4HgXSL7fCPZWylEUGcWd+/ezVffvUBQ1ChS5iIqKgrdunWDv78/goKC0KhRIwBZLRcmJiYoXrw4Bg8ejOjoaKxatQqSJGHmzJkoXrw4JElCWloazM3N0bx5c9jZ2Sl5MASCd43s841kNxAiqDPLWPj6+uardcfa2hrFihUrBFUCgWFQpMxFWFgY/v33X0yZMkUxFgC0sm9WrFgRY8eOhVqtxsqVK5Gamopx48bBz88P5ubmAIAdO3ZArVbDz8+v0M9BICgM5PlG8grcFEGdQHx8PJKTk/HHH3/A19f3pduKfAmCokaRMhdnz54FSXz88cfKstu3b2PFihWQJAl2dnbo06cP/P39MWvWLJQoUQLLli3DxYsX0alTJ/Tq1QuHDx/G6tWr4ezsLLpEBO80cq4LtVqt1Q1iZWWlfADtPBhFcZ4fX19f1KhRQ98yBAKDokiZC5Igifj4eLi7uyMiIgJNmjRBTEyMss3PP/+MkSNH4rPPPsP06dPRpEkTjB8/HlOnTsXUqVNhZmaGMmXKYMeOHfDy8tLfyQgEb0l+jYBKpRLdIIIii8jk+WYUKXNRrlw5kMT58+fh7u6OMWPGoFKlSvjxxx8RGBiIJUuWYPPmzZgwYQJevHiBYcOGoXPnzmjZsiXOnDmDu3fvwtPTEz4+PihZsqS+T0cgKDREN4igqCEyeb4d76S5kEd2ZP/b29sbALB69Wp4eHggNjYWo0ePxkcffQSVSoXJkyejXr16mDhxIkJCQtCiRQtUr14dtra2WjEaAkFRQ9eztAoEhobI5Pl2vJPmIj09HSqVCiShUqmUgM1mzZqhQ4cO2LlzpxK53bFjRwBARkYGbGxs0LZtWzx+/BiDBg3C3Llz8fvvv+vrNAQCgUCgR0QmzzfnnUuideHCBfTp0weVKlWCn58f+vbti3/++UdZ37dvX1hYWGDRokW4ceMGbt68CQAwNTUFSVhYWKBXr16oWrUq7t+/r6/TEAgEAoHAaHmnWi7++9//okWLFnB1dUX58uVBEuvWrcOaNWswYcIEDBs2DO3atcPp06excOFCJCcn48iRIyhVqhQsLS2VLhRra2s4ODhApXrnvJdAIMgHIjmW4HURgZ/avDPm4smTJxg+fDjKly+PkJAQ1K9fHwCwbds2LF68GFOmTMGdO3cQHByMoKAgpKenY8GCBRg3bhxUKhVatGgBNzc3AMChQ4dw9+5d9OjRQ5+nJBAI9IBIjiV4HV438PPvv/9WMj+/bJ/GbkLeGXPx+PFjREZGYvjw4YqxAIB27drBy8sL7733HpYuXYonT55g3rx5mDp1KkqVKoXFixdjwIABaNSoEbp06YKYmBjs2LEDqamp6N+/vx7PSCAQFDT5bZEQybEE+SW/gZ9xcXHo1KkTWrVq9cp9vgujT94Zc2FiYgK1Wg1LS0sAgFqthiRJkCQJVapUwZgxY2Bubo7FixfDyckJ8+bNw5dffokmTZrgt99+w+rVq3HgwAHY2NjA29sbe/fuRbly5XSqWU4+lJCQoNPjCARvg1xPk5OTkZyc/NKRIwWZREu+LjSTdAFAamoqUlNTle/Pnj0DABw/fvylQ2Xj4+PRu3dvvHjx4pXHtrKyQvXq1VG6dOl86xQUXRwdHeHo6PjSbcqXL49Tp07h0aNHL90uMjISAwcOxJ49e1ChQoW31paUlAQg53Wkc/iO8PTpU3p4eLBt27bKMrVarbXN1atX2b17d0qSxKCgIK110dHRjIiI4I0bN/jkyZPCkMx79+4RgPiIj/i85HPv3j2t6yYoKEjvmsRHfIztk/060jUSWdh2puDh/wdizp8/HyNGjMDChQsxePBgrXUyp06dwsiRI3HixAkcPHhQyV+RfbvCQK1WIzIyEn5+frh37x7s7e0L9fj5JSEhAaVLlzZYjYauDxAa3wSSSExMhLu7u1ZwdfaWC7VajcePH8PFxeWNr2FDO/f8YGyajU0vYHyac9Ob13Wka96JbhH5htKsWTPUqVMHQ4cOha2tLfr06QNJkpTmIEmSULt2bQwZMgQnTpzAqlWr0KhRI6jVar2MDFGpVChVqhQAwN7e3uArr6FrNHR9gND4ujg4OORYZmFhAQsLC61lr2qSzi+GdO75xdg0G5tewPg0Z9eb23Wka96psZZ+fn4YO3YsXFxc0K9fP/zxxx8AoJWtEwB69eqF+vXr48SJE8jMzBRDTgUCgUAgKEDemaeqbBzat2+PkJAQmJmZoW/fvli1ahWAnIFmKpUKpqamWtOtCwQCgUAgeHtMgoODg/Ut4k2RR4QAWeZB/l61alV4eXnh0KFDWLt2Lezs7FCpUiVlJMmRI0ewevVqvP/++2jXrh1UKpVep4o2MTHBBx98AFNTw+2lMnSNhq4PEBoNHWM8d2PTbGx6AePTbCh6jSKg886dOzh9+jSuX7+OSpUqwdfXF+XLlwcAZGZmarU+aMZPbNmyBdOmTcOpU6dQp04dBAYGgiT27NmD2NhYHDt2DD4+Pno5J4FAIBAI3lUM3lycPHkSPXv2RGxsrDJe19vbG3369MGECRNy/Y2mwbh8+TL279+PuXPnIi4uDg4ODvD19cXPP/8MPz+/QjsPgUAgEAiKCgZtLiIiItCgQQNUrFgRAwcOhLe3N8LDwxEUFIT79++je/fuWLp0KaysrHL8NvvQ0idPniA2NhaWlpZwdnaGnZ1dYZ6KQCAQCARFBoPsRJKNwcaNG6FSqTBp0iQ0b94cAFC3bl3Url0b48ePx9q1a5GQkIDFixfnyKSnaSxIwsnJCU5OToV6HgKBQCAQFEUMcrSIbAyio6Nhbm6OwMBAAFnxFSRRqVIlhISEoF+/fti5cyeGDh2KlJQUrW1y259AIBAIBALdY5DmQsbR0REJCQnK7ITyXCEkUaZMGQQHB6NLly7Yvn07BgwYACArUlY2E8ePH8eGDRv0pl8gEAgEgqKIQZoLueWhQ4cOSE9Px8SJEwFk5aaQh5uShKenJ6ZMmYJGjRph9erVmD59urKPR48eYcaMGejVq9crJ4oRCAQCgeBNSE9P17eE16KwwiwN0lzILQ/e3t5o3rw5Vq9ejblz5wLIaTB8fHwQEhICBwcHrF69Gnfu3AEAuLi4oHfv3jh37hxcXFz0di6C/6G32fneIUQZCt5V1Gq11vfMzEw9Kck/V69excyZMxEWFqZvKflGfr7mZ3bgt8Ggk2hZWlqiRo0aWLFiBfbt2wcbGxvUrVtXSZilUqlAEm5ublCpVFizZg1at26tTJVeqVIlFC9eXM9nUfjoYxK2V/Hnn3/iiy++QMeOHV86LbahIMqwYDDEcnwTIiIisHz5cvzyyy8IDQ1FYmIiKlSoYNBTB9y6dQtbtmzBkiVLsH//fjx8+BDu7u4GWXdIKmU5ffp0+Pr6wsbGxqCnZwgLC0Pz5s0RGxsLT09P+Pv761vSKwkPD8fy5csxffp0rFmzBrGxsahSpQrMzc0L/FgGOVpEkwoVKmDbtm1o2bIlJk2aBAAYPnw4VCoVMjMzlTiMatWqAQAiIyPRokWLd+am9iquX7+O/fv34/r167C3t0f79u1RsWJFWFtb61uawtq1a/Hpp5/i448/Nsg3blGGBYMxlOObcPLkSXTo0AFJSUmwtrZGbGwsAKBTp04YMGAAWrZsqWeFOTl58iS6du2K6OhoAP9rBWjVqhWGDx9ucJrle3W/fv2watUqhIaGYsWKFXBycsqRKNEQuHbtGjp16oSqVati3LhxaNasGQDobRLM/BAWFoZ27drBwsICLi4uSEtLwzfffIN79+4hJCSk4A+o0wndC5Bdu3bRzs6Otra2nDFjRo71S5cupb29Pbdt26YHdfohLCyMbm5utLa2ppWVFSVJorm5Ofv378+jR4/qWx5Jcs2aNTQzM+Onn37Ke/fu6VtODkQZFgzGUI5vwp07d+jl5cWmTZtyy5YtJMnjx4/zu+++o42NDb29vbl06VI9q9QmPDycrq6ubNiwIZcvX874+Hju2LGDn332GS0tLdm4cWM+ePBA3zJzEBsby+rVq7N48eI0MzNj+/bt+eTJE5JkRkaGntVpM3v2bNrY2HDTpk36lpIvoqKi6OnpyZYtW/Kff/4hSd6+fZujRo1isWLFeP/+/QI/ptGYC5I8evQonZ2dKUkSe/bsyStXrjAuLo5bt25lQEAAK1asaJAXjS64efMmS5cuzaZNm/Lvv/9mZmYmd+3axUGDBlGSJFauXJmbN2/Wq0b5odivX7+XPhTVanUhqvofogwLBmMoxzdl3759tLCw4OrVq7WWP3/+nOvWraOjoyNdXFw4a9YsPSn8H3IdCAkJoY+PDw8dOqS1/s6dOxwxYgQlSTI4QyQzZcoUDho0iC1atKAkSfzoo48M0mB07NiR7733ntayu3fvcsmSJfz111+5a9cupqam6kldTrZv304nJ6ccZmjjxo20sbER5oIkIyIi2LZtW1pYWNDc3JyOjo50dnbme++9x0uXLulbXqGxceNGWlpacv369VrLMzMzOXfuXEqSRFdXV/7xxx960bd9+3ZKksQhQ4YwNjaWmZmZys0vKSmJMTExvHPnDp8+faoXfaQow4LC0MvxbVixYgUlSWJ0dDRJMi0tTWv93r176ezszGLFihnMA/vzzz9nlSpVlO+aD+WTJ0/SysqKQ4cOJZn1PzIkfvjhB9avX59paWls165dDoOhiT4NdadOnejm5sb4+HiSZGRkJN3d3SlJkvJp27Yt165dqzeNmkyePJkWFhZMSUkhScX4bN68md27d+fp06e5f/9+7t+/n8+fPy+QYxqduSDJJ0+eMDQ0lN999x2HDBnC2bNn8/bt2/qWVaj89NNPVKlUSkXIftNbvny5clMv7LfG58+f87PPPqMkSezbt6/WuoiICLZo0YIeHh60sbGhp6cn58yZw3PnzhWqRlKUYUFhyOX4psgPrhMnTtDU1JQ///xzng/izZs3097enr6+vty7d29hytRC1jd8+HD6+/vnuV2zZs3YrFkzrd8YChEREXRycmJoaChTUlLYvHlzxWCkpaXxzJkz/Oijj/Qtk4MGDaKVlRXv3bvHzMxMNmzYkPXq1eO8efP4559/snPnzrSxsWHZsmW5cuVKvemU6/HMmTMpSRK3b9+urIuNjWXDhg2pUqno7OysdGc2bNiQ69ate+tjG6W5KMrIN4ODBw/SxMSEq1at0lqv6eYXL15MSZJYvXp1Hj9+vFB1Xrlyhf369aMkSfziiy9Ikg8fPqSrqyv9/Pz4+eefs2PHjjQ1NaW5uTlbtWrF0NDQQtVo6GUYERFh0GVoLHXxdXjx4oXW94SEBPr4+DAgICDPF5iMjAz+9ttvtLKyYvfu3QtDphbZNR87dozW1tZKjIiM/P/o1q0bmzZtWmj6spNdryYxMTEsUaIEx48fT5JMSUlhy5YtlYees7Mz69evz7t37xaWXC29cp3/9ddfKUkSv/vuO0ZGRrJJkybcvXu3st2DBw+4YMEC2tjYsE6dOoyKiio0vdk1k+SNGzdYrFgxVqpUiSNHjmRwcDBr1qxJNzc3Llu2jNHR0Tx37hynTp1KW1tb+vv788qVK2+lwWjNheaNS5/NY4VF9htbZGQkXV1d+eGHH/LmzZta6zTLY+rUqZQkiYMGDWJKSorO31SeP3+uVOxr166xd+/elCSJAwYM4KpVq+jj48N9+/Yp2y9btoy1a9emSqXiwIEDmZiYWGhvU4ZahprcuHHD4MrQWOri63L+/HmOGjVKacqWuxO2bNlCS0tL9urVi3Fxcbn+NjY2lp9++iklScrxUC9MzbKW7du388yZM7neJ7/66iu2adOGpHYr0+PHj/WiV0auD506dWKNGjUYGxurrKtTpw4lSaK7uzvPnDlDsnDu+3npffToEUuXLk1fX18OHTqUAQEByjpZ1+PHj/n9999TkiQuWbJE51rz0iyX65EjR9i4cWO+//77HDNmDN3c3Pjjjz8yKSlJ+W1iYiLnzJlDSZIYEhLyVjqM1lwUJdasWUMfHx+eOHFCa/nixYupUqk4atQo/vvvv7n+9smTJ/z4449paWmp85iUmJgY9u7dm1OmTFFuzDdv3lQejjY2NqxRo0aOh8rff/9NLy8v2tjY8PLlyzrTl9vNaOHChQZVhrmhadL0XYbGUhdfl7CwMDo6OrJ69epcsWKF1rrY2Fh+9dVXSheV5kNPs07t3r2bkiRx4sSJetf8Mr7++msOGDBAa9mxY8c4bNgwbt26taBlKuRX7+TJk+ng4KAEGV68eJGOjo50cHCgJEns2LEjExISSOo2yDMvvfK1t2jRIlpZWdHOzo4BAQFKXdC8Ni9fvkxHR0el5VHXvKqM09PTmZyczNjYWNrb2/PkyZM5NF+9epU2Njbs3bv3W70ACHNh4Kxdu5YmJib89NNPlaAymfj4eH7yySdUqVQcPXq01k1d86a3atUqSpLEn376SWc6Hz58qLxdNG7cWGvd9evXleb9Bg0a5Kpx5MiRlCRJJ/2TV65c4YQJE9iuXTt+8sknXLBgARMSEpiZmcnnz5+zT58+ei/Da9eucd68eezevTv79OnDadOm8datW0xPTyeZ1TqgzzIkjacuvi63bt2ip6cnGzdurDXCQvPBFR4ezq5du1KSJPbr10/LYMjBcZmZmbS3t+egQYP0rlmtVuf5Zt+tWzf2799f+X7ixAkGBATQwsKCN27c0Itezb8PHDhASZK4efNmHj9+nA4ODuzQoQMvX77M2rVrU5IkNmnSRKeBzPnRe/PmTX7yySe0s7Ojs7Mzt27dqjyMNUeKeHl58dNPP9WZ1vxq1jQKd+/epY2NDZctW6Ysl+81JFmqVKkcsV6vizAXBsyaNWtoamr60vwG586dY9u2bZWbuuaQIrmCv3jxgiqViuPGjdOJzocPH7JWrVr09vbm6NGjWbZsWcbFxTE9PV25wUVERLBv375ctGiR1m/lZtnQ0FCdNB+GhYXR1dWVTk5O9Pb2pq2trfKA/uuvv5iRkcFr166xVatWeivDsLAwuru708LCQnk7kySJderU4Zo1a5Qy0lcZksZTF9+EP//8k6ampjliRrJz9uxZdu7cmZIksXv37rx48aLWw2br1q20tbXlvHnzdC0535pzMxidO3fmyJEjSWa1WNSvX58ODg48f/68TrSS+ddLZrVwubi48MMPP6STkxPbtGnD8PBwkll13cfHh5Ik6TTnS371nj59mj169KCpqSnr16/PnTt3aj3Ed+zYwRIlSnDhwoU60yrzOmX86NEjOjg4sH379rx//76iWa1Wc9OmTXR0dOTPP//8VnqEuTBQ1q5dm6/8BiR5+PBhtm7dmiqVisOGDePFixe11stDBXUxVE42Fl5eXjx8+DC3bNlCc3Nz3rp1K8e2z5490+rj1bwIZ86cSRsbG4aFhRWYtn///Zfe3t5s3Lgxd+3aRTKryW/WrFksWbIkixcvztmzZzM9PZ0XLlxgy5YtC70Mr127Rjc3N37wwQdcs2YNnz9/zpMnT3L06NF0cnJi9erVee3aNWX7hISEQi1D0njq4pvyzTff0MTEROttMyoqisHBwfz+++85Z84cJdYiKiqKQ4YMoaWlJf38/DhhwgSGh4dzyZIlbNCgAT08PAoleO9VmufOnasYfBnZaAwZMoTBwcE8d+4c69atS1tbW164cMEg9MrxWgEBAZQkid26deP169e19KekpOi8jF+nTty5c4ejR4+mnZ0dS5QowYEDB/LEiRP8+eefWb9+fXp5eRlUnZCHo8pdfV26dOGGDRv46NEjLlu2jPXq1WOpUqXeWrMwFwbIjh07aGFhwc6dOzM5OVkrv8HTp0958+ZNnj59mlevXlV+c/HiRfbu3ZsqlYo1a9bk3LlzeefOHS5fvpwNGzakh4cH79y5U6A6Hz58yNq1a9PLy4v79+9namoqz507R1NTU+7cuZNk/oa67dmzh7Vr12atWrW0mpvflrCwMFpYWOR4kKWkpPDgwYMsW7YsTU1NOX78eKanpzMiIqLQylD+f/7nP/9hmTJleODAAa31sbGxnDJlCiVJ4tSpU1+5P12VobHUxbdh1KhRVKlUSldOeHg43dzctHIWlClThvPnz+fz58+ZkJDADRs2sEKFCsp6c3NzVqhQodBiSfKjuVy5cpw/f75SH+T/W48ePdi0aVM2b968UIzF6+pNT0/nzp07OXDgQK16RWo33etbr1wnEhMTlXtKrVq1aG5urtQJHx+fHAZbn5rlMn7+/Dlv3rzJvn370tLSUllvZ2dHPz+/AqnHwlwYIBMnTqQkSXz//fe13hSvXr3KmjVr0t7eXqkM/fr14+HDh6lWq/ns2TMuXrxYyWIqSRItLS3p7e1d4BVcTtUrPxjl5uHExETFvb+Mv/76i0uXLmWfPn3o7e3NYsWKFXgg4o4dOyhJkrLf7Dem8+fP09vbm2ZmZpwzZw4zMjKYkJBQaGVIkqNHj2a5cuWU75pm7Nq1a3R1dVWGN2Y3aoVRhsZQF9+WRYsWUZIk7tixgyT50UcfsVmzZly+fDmvXbvGr7/+mmXLlqW9vT1/+uknJicnk8yq64cOHeLKlSt5+PDhHHEohqDZwcGBP/30k1ZiJDl/ipOTk067Qt5Er52dnRKPozmKobB53Tohl29ycjKvX7/OrVu3MiwsjDExMQarmczqHjl37hxnzZrFGTNmcO/evQVWj4W5MFAmTpxIW1tb1q5dmzExMUxPT6eHhwdr1arFcePGccaMGXR1daUkSfT391fSLpNZwX979+7l7NmzuXPnzjyj99+U9PR0fv/996xSpQr37dunFTCUmJjIevXq0dvbm//++2+ugWWpqakcOnQora2tWblyZQ4fPlyr6b+guHTpEq2srBgUFJRnKt7Q0FB6eHiwZMmS3LBhg6JV12Uo8/3339PT0zPHcllH9+7dldEhmv37hVWGJDl+/HiDrYuvQ17D1/ft26dMKXDp0iUGBARoncPz58+5YcMG+vr6smTJkoWarKwgNLu5uWlpXrZsmc5aWQpCb4kSJQqtjItqnSiMMhbmwkBISkrK8WYt39Rr1arFadOmsXz58loTs4WFhbFNmzaUJIktW7bU+Th1TY1RUVG8evWq1gNPrugLFy6kJEk50kFrkpaWpgT8FeRwssTERK08DA0aNKC3t3eeN1K1Ws0tW7bQxcWFTZo0KZS3pcTERKU/MyIigs7Ozvztt99y3XbYsGGsWbNmrusyMjKUZEIFPSQvMTFRa+TAuHHjDKouvgmpqalMT09nWlpajvLq2LEjHR0d+dVXX2nlLJDre0pKipI4qV+/fkatOTY2VklbbQx6dYmx6dWFZl3lCxHmwgA4e/YsBwwYwF9++SVHhRk3bhxdXFzo4OBALy8vJZhPdqPnzp1j1apVdT4ZkaxxyZIlSkBQXhw6dIiSJLFGjRovTcsuV+qCqtzR0dHs1KkThw0bpjRdHz9+nM7OzmzatGmeAUrPnj3j6NGjKUkSf/nllwLRkh+NaWlpfPr0KQ8fPsxLly7lWg5BQUGsV68eSe1undjYWK3AzoK8QeRWjqTh1MU34fz58/z444/p4+PD8uXLs2fPnlpxLps2bWKJEiVoamrK4sWLaxkrzflcqlWrVmjZLY1Ns9Cre4xJszAXeiYsLIwODg709/fn77//rizX7F8fP348TUxM6OrqymfPnuXYx19//UVJkjh58uRC1fgy5EAhOZGLrrMxbnpP0wAAIABJREFUPnz4UIkwd3d3VyK5ExISOHnyZJqYmLBFixZ5GozTp09TkiQOHjy40DTmJ/By2rRp7Nq1q9ayY8eO8bPPPsvXkLO31Zg9I6W+6+KbcOrUKTo6OtLHx4dt2rRh69ataWpqqiS8io2NZUZGBsePH09HR0dl/L88ckGz7jZs2JDNmzcXmoXeQtVrjJqFudAjd+7cYfny5dmoUSMeOXJEWS63XGi+mU6aNIm//vqr1u/lN9lLly5RkiR+8803ha4x+xuzXIF37NhBJycn+vn58dGjR1q/KWjk4bBly5bljz/+SDc3Ny3H/u+//3Lw4MFKk73mMFnNMi5VqhS7deumF415MWzYMHbu3Fn5fuLECQYGBtLU1LTAYyxy0yin89ZsNdFXXXwTHj9+zICAANasWZNHjx5Vlm/dupWtW7dWsm7eunWLaWlp/Pbbb2ltbc2SJUvy999/54MHD5TfHDx4kF5eXhw7dqzQLPQWml5j1SzMhR7ZunUrTUxMcvS35/WWrxmUqLnNsmXL6ODgwL///ltvGrN3cSQlJbFHjx6UJIlt2rTJ0YReUMgPRE9PTx4+fJgRERG0srJS4gFkPbdv3+agQYOoUqn4wQcf8NixY1pN/rt376aTkxN/+OGHAtWXH40vo3///uzTpw/JrBaLBg0a0N7evsCj/POjUdMcapqNwqqLb8KNGzfo7OzM77//Pse6ixcvcsCAAVSpVGzXrp2SEXXevHmsWLEizczM2KxZMy5ZsoTBwcGsVatWvk1hUdIs9Io6kRvCXOgROY+B/GZPZqWUHTVqFIcPH86JEycyMjJS6yFIarcW7Nixg3Xq1KGfn59OIvHzq1FzFj75IRQbG0tvb29KksQ+ffoU+Bh1zTwbBw4cYFpaGh8+fEgLCwslI55mXob79+8zKCiILi4udHNz46BBg3j06FGGhIQwMDCQpUqVyjHxVmFofFm8xPjx4zls2DCePXuWdevWpZ2dXYHnJXgbjYVZF9+EqKgoOjo6KkPvNOsDmVWXhw4dSpVKxb59+/LJkyfMzMzkpUuXOHz4cBYrVoySJCkzRRZGHgtj0yz0ijqRG8Jc6BF5lsjIyEiSWUlP3N3dKUmS0pfm7OzMoKAgrViBbdu28csvv2SbNm3o6elJNzc3nVWWN9UoG4mTJ08qk/sU5JjvuLg41qxZk56enjxw4ICWcXn//ffZoEEDZXIjTZ49e8YjR46wYcOGSv4FCwsLVqlSpcDL8E01ajJixAjWrl2bTZs21UnCo7fVWJh18U14+vQpPTw82LZtW2VZdqN09epVdu/enZIkMSgoSGtddHQ0IyIieOPGDT558qQwJBudZqFX9xijZmEu9Mj69espSZLS5dCzZ0+2atWKf/75J+Pj4zlt2jT6+/vTwsKC3377LePj45mWlsbp06ezUqVKbNCgAX/44YdcU23rS6NmCweZdQHs2LGjwOMDlixZQn9/f60EXjIDBgygra2t0gqRV1fM2bNnlampCzKrZUFqHDVqFCVJoqOjo04SHr2NxsKui6+LfPOdN28eJUnSmpMl+4355MmTrFevHiVJ0pr0qTCm9dbE2DQLvbrHGDWTwlwUCnn9Y8+ePUtTU1O2bNmSFy9eZN26dfnnn39qzVK3f/9+BgQE0NbWlvv27SOZFXuRV1IoQ9FY0JU5t/3dunVL64Eoa9q1axclSVImZ8qOrgJLC1KjzNatW1mzZs0Caw0oaI3p6ekFXhcLmitXrrBu3bqUJO0ZY7MnePvjjz8oSZIyY6iuRzi9DGPTLPTqHmPTLMyFjtH8x8r5ITSXDR48mObm5vz8889Zp04dZbkcAKlWq7l+/XpaW1uzZcuWzMzM1Pp9QTzEC1Jjq1atCtxY5KbvZdy/f5/u7u708PDgmTNnClRLXuhKY0JCQoE1Y+pCY17ZAg2NLVu2KP3OmkN4s9+YGzRoQD8/P50Z0NfB2DQLvbrHmDQLc1FIDB48mOPGjVNy0Mv/9P3799PHx4cqlYo2NjY8ffq08hvNh0Hz5s1ZvXp1nVYWQ9eYXV9ujly+wEJCQihJEidNmpRjnS4RGg0LTa2rVq1SJpXK/uYn06hRI1atWrVQNWbH2DQLvbrHGDULc1EIDB8+nJIk0cvLK8ckQiQ5a9Ysurm50czMjDNnzsw1gK5du3YMCAjQ2Y3d0DXmpS+vY508eZIeHh6UJIm7d+8ucD1Co+GS3Sxpfl+5ciWdnJwoSRJnz56tlQjs8OHD9Pb2Zu/evZmWllaoJsrYNAu9QvOrMAkODg6GQKfExcXh4cOHSEpKws6dO2FtbQ1/f3+YmZkBAOrVq4eMjAxcvHgRe/fuhZ2dHUqUKAFnZ2cAwNGjR7Fs2TI0aNAArVu3BgBIklSkNOalz9zcHGq1OsexSpUqBQDYu3cvTp48iYCAALi7uxeYHqFR/9y5cwcHDhzA1q1b8eTJE5iYmMDZ2RmSJCEzMxMqlQpAVj2Uz61atWqoWLEioqKisHz5chw8eBARERHYs2cP5s+fj0ePHmHFihVwdXUt8GvMGDULvaJOvDF6sTRFjE2bNrFy5co8ePAg/f39aWtrm2vrwOrVq1m7dm1lXo5Jkybxm2++ob+/P11dXXU266UxaHyVPk1Xr5l1U55eOjAwkFeuXNGJNqGx8AkLC2PZsmVpa2urDCn28fF5aRI0zXO7dOkSQ0JC6OnpSWtra7q5ubFJkyY6PTdj0yz0ijrxNghzUQikp6fTy8uLv/76K8+fP08fHx/a29vzp59+YmJiIkkqSYeio6M5ffp0li1bliYmJnRycmJAQAAvX75cpDXmR9+tW7eUJkDNKb/r1q1LBwcH3rt3T2f6hMbCIzw8nMWKFWP9+vW5cuVKnjhxgsuWLWPp0qUpSRJ79OiRI/GcTPYm4sePHzMiIoK3b99+Zc6RoqRZ6BV14m0R5kLHZGZmMiMjg3Xq1OHnn39OMmt4Z4UKFWhnZ8eQkBDu37+fHh4eXL58ufK7J0+e8MGDB7x//77OK4uha8yvPi8vrxxpytVqNU+cOPHS2VmFRsPR+DLkG+qUKVPo6urKvXv3aq2/fPkyP/roI0qSxA8//FCZjv5V+9MlxqZZ6BV1oqAQ5kLHaFak4sWLKzfnM2fO0NfXlzY2NrSysmKLFi0YHR2tZEjUR2IZQ9X4OvpiYmL0Mq5baCw8hg4dyvfee49JSUkks0Y1yed269YtfvLJJ5Qkie3atVPS0mtuIzQLvfrWa6yaXweVfiI9ig5yMI2vry/i4+MRFxcHAKhRowa+++47pKamQq1Wo1q1arCzs4OpqSkyMzMLNQjH0DW+jj5bW1uoVCpkZmYWijahsfBxdHREQkICkpOTAWSdlyRJIIkyZcogODgYXbp0wfbt2zFgwAAAgImJiXL+x48fx4YNG4RmoVfUCV2iV2tThIiJiaGDgwO//fZbkuSRI0fo5OTEWrVqsXTp0nR0dOTs2bP12l9m6BoNXZ/QqFvkN7b//ve/tLKy4hdffKGsk1tZ5G0iIyP5wQcfUJIkTps2TdkuPj6e7du3p7m5OePj44VmoVfUCR0hzEUhkZKSwqpVq7JLly68ePEiHR0d2bZtW0ZERHDfvn2sUKECJUni3Llz9dbsZegaDV2f0Fg4PH36lO3bt1fiRGSy35jPnTtHR0dHVq5cWStWZN26dYUeTW9smoVeofltEebiLUhKSlIqwMtuwnJlGTFiBCVJoo2NDVu1asXr168r22zfvp3+/v6MiIgoUhoNXZ/QaJhERETQxcWFtra2nDt3rrI8+435p59+oiRJ3LNnj150amJsmoVe3WOMmvOLMBdvSHR0NBs0aMDg4OB8/2bdunXKEKPs+SAyMzOVwJ6iotHQ9QmNhk1oaCjt7Oxob2+vdWPOyMhQbs67d++mJEmcP38+Sf1H1hubZqFX9xij5vwgzMUb8PDhQ9avX5+SJLFcuXJMSEjI9z97165dvHr1qvJdV5XE0DUauj6h0TjYtWsX7ezsaGtryxkzZuRYv3TpUtrb23Pbtm16UJc7xqZZ6NU9xqj5VQhz8Zo8fPiQtWrVop+fH7/99lu6uLjw4cOH+palhaFrNHR9pNBoTBw9epTOzs6UJIk9e/bklStXGBcXx61btzIgIIAVK1bkgwcP9C1TC2PTLPTqHmPU/DKEuXgN5Ju5h4cHDx48yAMHDtDFxYVnz54laRhvfoau0dD1kUKjMRIREcG2bdvSwsKC5ubmdHR0pLOzM9977z1eunRJ3/Jyxdg0C726xxg154WpvofCGguxsbFo27Yt4uLisHz5cnzwwQd48OABEhMTcezYMfj7++tvghgj0Wjo+oRG46VChQpYtWoVwsPDsWXLFiQmJqJcuXLo3LkzPD099S0vV4xNs9Cre4xRc57o290YAzExMaxWrRrLly/PAwcOMCMjgyQZGxtLNzc39u3bl2TOKXKzc/ToUS5atEgnb5WGrtHQ9QmNAoFAUHAIc5EPfv/9dxYvXpz79u1TbubyTblPnz50cXHhzZs3X7qPZ8+esVevXpQkidHR0UVOo6HrExrfDTTNkrEYJ2PTLPTqHmPUnB1hLl6C5tvf7du3lTk1NJkzZw4lSeL06dOpVqtf+sZ48ODBAs8dYOgaDV2f0CgQCAQFj0SS+u6aMTTu378POzs7ODg4QK1WQ6XKewqWZ8+eoWbNmnBxccHRo0dhZmb2yt8UBY2Grk9oFAgEAt1hEhwcHKxvEYaC7LNmzZqFffv2oX79+rCwsIBarc4zQI4kLl26hJ07dyIjIwNNmzZVJp/RRVCdoWs0dH1Co0AgEBQChd5WYgQ0adKEzs7OnDBhAhMTE0m+PEDuypUrtLOzo5ubG7dv3y40GoE+oVEgEAh0h2i5yMbp06exaNEiPH78GGfOnAFJ1KpVK8+3RrVaDVdXV5iZmWHr1q14/vw5atSoARcXlyKr0dD1CY0CgUCgW4S50ECtVmPChAmIjIzE4sWLceHCBezYsQOSJOV5U5f/dnR0xK1bt7Br1y4kJyejbt26sLGxKXIaDV2f0CgQCASFgF7bTQyMGzdu0MHBgQsWLCCZlQvA29ubVlZWDAoK4vPnz0nm3Sy9Z88eFitWjHZ2djpLw2zoGvOjb82aNQSQ42NjY8MKFSrQ1tZWJ/qio6MZFRXFQ4cO0c7OzmDLkPxfOc6YMYNRUVFct24dvby8aGlpaTAaBQXP5MmTGRwcnOf/dceOHWzatCmdnJxobW1Nf39/zp8//5V5TQoC+fqJiorivXv3dH48ffPkyRPlfKOiovjixQt9SzIqhLnIxs2bN7VmhDx+/PgrHzya45A3bdqUY5bJoqbxVfq+/vprAqCbmxsDAwMZGBjI2rVr09HRUTEan3/+eYHratSokbL/kiVLGnQZklnlOG7cOC0DVqpUKYPSKCg4bt26RQD08vLKdf20adOUelC2bFlWrVqVKpWKANi+fXudGwzN66dUqVI6PdbbcvnyZdatW/eNf3/kyBGWL19e69obP358rtteuHCBXbp0oYuLC83MzOjt7c3Zs2fnue+UlBR26dKFBw8efGN9Mjt37mRgYCCtrKxob2/PFi1acP/+/W+934JAmIt8EBoamuuDR8YQkpwYukZNffJFqzn7n1qtZnJyMrt3704ANDExKfAET40aNWLx4sW5adMm7t69+6Uahw8fTgD88MMPtTQWNuHh4dy0aRO7detGAFywYIFB/58Fb87GjRsJgB06dMixLjQ0lJIkUaVS8c8//1SWnz9/niVKlCAAzpw5U6f6sl8/Bw8ezLUF8lUfzYeqp6dnjvUmJiYsXbo0+/bty9DQ0Hzrmz59OgGwYsWKtLCwoKenZ57HAEB7e3vWrl2b8+fPZ2pqqrKf5cuXU6VS0dnZme3atWOVKlUIgIMGDcpxzH379tHCwoK2trYcPHgwp02bxiFDhvDrr7/W2u7Ro0cMCwtjSEgIy5Url6Mc3oTRo0cTAAMDAzlu3DiOGzeOpUqVoiRJXLVq1VvtuyAQ5iKfaD54Jk2apDSR3bhxg/v37+ezZ8/0rNDwNcr65It769atOfRFR0fnWF9QNGrUSLnhvEqjhYUFAbB169Y5NOqDoKAg5YZk6P9nwZsxYcIEAmBwcHCOdW3atCEADhw4MMe61atXEwBdXFyYlpamM33Zr5979+4xJCQkx6dly5YEwFq1auW6XrNLRX7wa64fP34827ZtS0tLSwJgp06dmJKS8kp9Li4uBEBLS0uqVKoc5mLixInKMWbNmsURI0awbNmyBEA/Pz/eunWLx44do6mpKStXrsy4uDiS2teeJjdu3KCtrS3d3d1fmRVX3oeZmZmi823MRXR0NK2srLh06VKt5Xfv3qWJiQk9PDzeeN8FhTAXr0H21oFz586xdevWrFy5Mh8/fqxveSQNX+P27dsV8zBq1Kgc+jIzM2liYkIAXL9+fYEeOz/mgswqQy8vLwKgt7e3QZRh9hucof+fBfnnjz/+eOmb/ubNm2lubk4APHnyZI7fp6Wl0d7engC4Z88enenM7/Uj19V+/fq9clv5wZ8bsbGxbNWqFQFw8ODBr9zX2LFjCYB9+/aljY1NDnMRFRWV4zcZGRmcMmUKAdDDw4M1a9akiYmJVvbavMyF3Jq4b9++V2q7du0ajx8/zidPnnDo0KEF0nIRHh6e63IXFxc6Ojq+1b4LAmEuXpOwsDB6e3vTzs6OpUuXpp2dHU+fPq1vWVoYssY9e/YoTZ+56ZP7nQHwxIkTBXrs/N4cSfLvv//WaqLVdxnmdoMz5P+zIP/85z//YWBgIM3MzAiAtWvXVmKRAgMDeejQIeWNPLe07yTZtGlTAuDkyZN1prOwzQVJJiUlUaVS0c3N7ZX7Wr58uXLc/JoLGdmYAGCXLl1yPR/Nay82NpYqlYo1a9Z8pa7sFJS5yI29e/cSALt27Vrg+35dRF7gfML/z5hYp04dTJkyBc+fP0dSUhJCQ0Px/vvv61ldFoaukSQuXLgAAPD19c1V39KlSwEAzs7OqFmzpl40AoC/vz8AIDMz06DKEDD8/7Pg9fj888+xb98+ZGZmwsrKCqGhoTh27JjyuX79OgDAw8MDpqamue6jbNmyAKBs+65gbm4OSZJgYmKi0+MEBQUpw7Xr1q2LnTt3onnz5nBxccGMGTMA/O+6A4Bdu3ZBrVajbdu2CA0NRYcOHVCyZEnY29tj2LBhSEtLeys9J0+eRIsWLeDg4ABnZ2d8/PHHuH//fq7bPn/+HFFRUVixYgW6d+8ONzc3zJw5862OXxAIc5FP5BwCERER+Ouvv2Bra4ujR4+icuXKelb2PwxdoyRJOH/+PAAgJSVFS59arcby5cuVi2LSpEl53kgLmqNHj6J27dqwtLRE6dKl8eWXX+LUqVMAABMTE60yTE1NxcKFC9GwYUO4ubnBxsYGzZo1w7lz55T9TZkyBZIkYeXKlTmOFR8fD0tLS3Tq1ElZFhUVhR49/q+9e49p8nrjAP6FUUoL5Q5yUygDYYCC4hRU0IHDABmBGQGj2WAQZLowYBbilMEUzUIkusniABf/kABuXtiIbsHOGC6JzksXBC8bEXRbRjbGhtwECs/vD359R2mLFMpFPJ+EBM573vc9pZyXp+e6Dba2tuDz+XB0dERMTAzq6urUlne+v8+M9pqamjAyMgIfHx+Vf6T//PMPAMDCwkLj+YpjirwLwfDwMDIzMzE8PIzU1NQZvRefz4eDgwMAoKSkBO+++y7WrFmD999/H0KhEABw5swZLv+9e/cAALW1tXjzzTfh7u6OtLQ0eHp6oqioCBkZGVMuy8WLFxEcHIyWlhZkZmYiMTERUqkUYWFhkMvlKvnXr18PV1dXJCQkwNDQELW1tXB2dp7y/XVmLptNnjcDAwMUHx9Penp69NNPP811cdSa72X08vLimh/9/Py4aagWFhYEgPT09EgikSidU1tbSwDowYMH07q3umbdO3fukEAg4GaGHDp0iFJSUsjAwIAAUFBQkFJ+qVRKVlZWtH37dtq3bx8dOHCAXFxcyNjYmJqbm4mIqKOjgwQCAa1cuVKlDIrphDU1NUQ0+n6JxWIyNzcniURC+fn5tHPnTnJ3d1ca2De+aXa+v8+MdkpLSzVOwT5w4IDav8WxcnJyCACFhoaqHJvJ+qPOVLpFxq4nce3aNTp+/Dj5+fkRn88nV1fXCbs0FKbTLUJE5OPjQ8DoejsdHR1cenZ2NgEggUDAjWdKTk7mZpyMHcw5ODhI3t7epK+vr3HX4Ym6RZ48eUK2trbk7e3NDSglInrw4AEZGxvT2bNnVc65cuUKXbhwgYqKisjFxYXEYjHJZLIJX+tsmJ2PhguEoaEhcnJy8OGHH2LZsmVzXRy15nMZnz59ip9//pn7WdGKIRQK4ejoiOjoaKSmpmL16tVK58lkMohEIri7u+u8TPn5+ejv70dRURF2797Npb/88svIzs6GqampUv6AgAD89ttvMDIy4tK2bdsGd3d3HDx4EBUVFbCyssJbb72F4uJiNDQ0YN26dQBGV90sLi6Gu7s7Nm3aBAC4c+cOWltbUVhYiMzMTO6aRISuri6N5Z7P7zOjPUV3oa+vr8oxxd/aRE3tAwMDAACBQKBybCbrj66IxWKVNFdXV5w+fRqFhYUauwQEAgEWLVqkkzKYmJgAAJycnJSWzFf8/vv7+1FTU4O4uDju95yYmMh1SQEAj8fD22+/jaysLFRVVSE7O1urMpw/fx5//vkn8vLy0NPTg56eHgCj9f3111/H119/jS1btiid89prr3HfR0VFwcvLC2FhYWhuboaNjY1W99clFlxoycvLa66L8EzztYzNzc2Qy+UQCoXo7u6e9FbgMpkMfn5+Ot/Zs6+vD+fOnYOnp6dSYAEAYWFhah8M45fRHhoagomJCYRCIW7fvs2lp6eno6SkBMePH+eCi8uXL6OtrQ2FhYXca3FwcIC+vj6++uorhISEwM/PD8Bo14e5ufmE5Z+v7zOjvYmCi8l0eUzUdTJT9UeXgoODUVtbq5T28OFDxMbGAgCCgoLUnsfj8dDX16eTLlRFwDDRP+RHjx4BAGxtbQGMjh0bz9PTUymvNhTPkF27dqk9HhAQMOH5ixcvRnR0NMrKynDq1ClkZWVpXQZdYcEFM2sULRXe3t6TDiyA0YdjcHAwCgoKcOLECXR2diI0NBTFxcXTisxbWlogl8ufWWHVlae4uBhXr15FS0sLhoeHAfz36REYfcCEh4ejqqoKnZ2dsLS0xOnTp2FkZISEhAQun729PY4cOYI9e/ZgxYoVMDU1RUhICNLT07Fhw4Ypvzbm+dLY2AgAWL58ucoxRYvD48ePIZfL1f4jffjwoVLesWaq/uhSSUkJN45hrJs3b+Lw4cNwcHDA0aNHwePxlI6LRCKdjc2i/w/YdHJy0pjH0NAQwH+B/ZMnT1TyDA0NKeXVxsjICACgsrISfD5f5biidWUiixcvBjA6lmsuseCCmTWKT2fqHqCaDA4O4u7du+jo6EBYWBhKS0vR0tICiUSCnTt34vz581Muj6KZWfEwmIycnBzk5+fD1tYWmzdvRkpKCuzs7JCUlKSSNzMzE5cuXUJZWRmSkpJQVVWFuLg4WFpaKuXLyMhAaGgoysvLcePGDdTU1OCbb75BSUkJkpOTp/z6mOdDW1sburq64OzsDDMzM5XjK1asAI/Hw9OnT3H79m2VbsOhoSHcuHEDwOgMorFmsv7okoeHBzw8PFTSFZ/CHz16BCJCdHT0jNx/cHAQ9+/fB4AJP/goWpY2bNgAHo+Huro6SCQSpTyKGTvqWqGeRTHby8rKius6Vef69evw8vKCSCRSOdbS0gIAcHFx0fr+OjXHYz6YF0hQUBABoM8++2zS59y6dYsA0DvvvKOUvn//fnrppZe0WpFw/IC0rq4uMjAwIA8PD5Vls2Uymcry352dnaSvr0++vr5K+5IQEQmFQrWD3ZYvX07+/v5UWVmpcRGk8f766y9yc3NTmtuvaSEf5vmnWPslLCxMY57w8PBJrdA5dhlropmtP5rocp0LIiKxWEwAqKSkZMJ8J06c4AbFajug8+DBgwSALCwsSCQS0ePHj7ljir2QlixZorR/S2xsLOnr69OtW7e4tO7ublq6dClZW1trXCl3ogGdvb29ZG9vrzKgk2h0wa8ff/yRiEbfv/Xr19PDhw+V8jQ1NRGfzyc+nz/nm8uxlgtm1kzU9KuJTCaDgYEBcnNzldJ9fHwwPDyMv//+G3Z2dlMqj6mpKcLCwnDp0iWUl5dj+/bt3LGLFy+q5NfX18fIyAiEQqHSwLmbN2+ir69P7T0yMjKQmJiI8vJyrFy5UuVTZ3d3N/744w8sXbqUS7O2toarqyuuXbs2pdfFPF8UUx1bW1sxMDCgtjl83759+P7773Hy5Els3LgR27ZtAzDaGqgYCJyVlaXSFD+T9Wc2SKVS/Prrr+Dz+YiIiODSf/jhB4SGhnI/ExG3Rk5fXx/kcjl6e3tRWVmJ3t5elevW1NTg7t27iImJwdmzZ/HRRx/Bzs4OZWVliIyMRGBgIJKTkzE0NITS0lIAwN69e5VaNY4ePQqpVIpNmzYhJSUFRkZGqKysRFtbG86dO6c0GLy1tRXXr18H8F/LxpUrV9De3g4AiI+PBzD6t1BRUYHIyEgsW7YMO3bsgI2NDdra2lBdXQ0fHx989913kEgkuHr1Kjw8PBAVFQUfHx/09fXhyy+/hFwux6lTpybs3pkVcxraMC+MsStvarM89e7du8nX11cl/dNPPyU+n69xxUJ11H3yamxsJKFQSAYGBpSQkECffPIJxcTEkLW1tUrLBRFx+yaEhITQ4cOHadeuXWRmZkYA1H6qGxgYIDs7O+Lz+XTy5EmV45cvXyZ9fX0KDQ2l/fv3U0FBAW3dupUAUFJSEpePtVwsXN3d3WRvb08AyMbGhgIDA2ndunX6uUdlAAADeklEQVRUXV2tlE+xTDWguitqZGQkyeVylWvPdP1RZyotF2P3FikoKKC0tDR65ZVXuFVyx+6hMTIyQiKRiNasWUN5eXmUl5dHq1evnnAJdYzbW8Tf358AkIODAwEgNzc3bupofX09BQUFkZGREVlbW3PT59XVvaamJgoPDydjY2OysLCg8PBwta2Timmymr7Gu3fvHsXGxpKlpSXx+Xzy8fGhPXv2KLVGyOVyKi4upsDAQBKJRGRubk4RERHU0NDwzN/7bGDBBTMrLly4QADIyclJq/PWrl1LUVFRKunBwcHcpmKTpenhWF9fT6+++ioZGRmRWCymvXv3Ul1dndrgor29nQICAojH49GiRYvojTfeoOrqanJ2dtb44M3MzCQzMzOVrhSi0XntX3zxBW3cuJEcHByIx+ORs7MzSSQSbkMyIhZcLHSKvWEUQS00LH9fXV1NISEhZGZmRkKhkHx9fenYsWNqAwui2ak/400luBj/ZWFhQatWraJDhw7R2rVrlbo0RkZG6Ntvv6W4uDhyc3MjgUBAlpaWtHXrVrUbiGm6h0gkolWrVtGRI0eU6pqm18PqnnZYcMHMW8PDw2RiYkJeXl5K6VKplACQVCrV6nra7C2iS/7+/pSWljata7AHHKOthVJ/YmJiqL29fdbvq8Dq3tSwMRfMvPXLL7+gp6cH/f39eO+997BlyxY0NjYiNzcXaWlpSn2u81VDQwNkMhkqKirmuijMC2Yh1B8A82ZGC6MdFlww85ZMJoOenh5qamqQmpqKiIgIODg4IDc3F+np6XNdPI3a29tx5swZLFmyBPn5+dixY8e8Xh2RWZie1/rDLAwsuGDmrfj4eG4UtVQq1ck15XI52traYGBgMKOjqT/44AMQEUJCQvD5559P+Tr//vsv98Uw2nie6898wOre9LDggnmh/P777xCLxXB0dNS4X8F02dnZqd29cCqOHTuGjz/+WCfXYpjpmo36M1+wujc9ekRjNqlnmAWsvr4eHR0dAEb3Edi8efMcl+jZ7t+/z60cCIxur2xtbT2HJWJeVM9j/ZkOVvemhwUXDMMwDMPo1OR3j2IYhmEYhpkEFlwwDMMwDKNTLLhgGIZhGEanWHDBMAzDMIxOseCCYRiGYRidYsEFwzAMwzA6xYILhmEYhmF0igUXDMMwDMPoFAsuGIZhGIbRqf8BuGuSD1P8P/wAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 550x550 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"labels = [\"$P_{{{0}}}$ [days]\".format(i) for i in letters]\n",
"labels += [\"$t0_{{{0}}}$ [TBJD]\".format(i) for i in letters]\n",
"samples = np.concatenate((trace[\"period\"], trace[\"t0\"]), axis=-1)\n",
"corner.corner(samples, labels=labels,\n",
" show_titles=True, title_fmt=\".5f\",\n",
" title_kwargs=dict(fontsize=10));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally, here are the posterior constraints on the stellar properties.\n",
"These won't be exactly the same as the prior because the duration of the transits (and the assumption of circular orbits )"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 760x760 with 9 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"labels = [\"$R_\\mathrm{star}$ [$R_\\odot$]\", \"$M_\\mathrm{star}$ [$M_\\odot$]\",\n",
" r\"$\\rho_\\mathrm{star}$ [g/cm$^3$]\"]\n",
"samples = np.vstack((trace[\"r_star\"], trace[\"m_star\"], trace[\"rho_star\"])).T\n",
"corner.corner(samples, labels=labels,\n",
" show_titles=True,\n",
" title_kwargs=dict(fontsize=10));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Attribution\n",
"\n",
"If you use these results or this code, please consider citing the relevant sources.\n",
"First, you can [cite the lightkurve package](https://zenodo.org/record/2611871):\n",
"\n",
"```bibtex\n",
"@misc{lightkurve,\n",
" author = {Geert Barentsen and\n",
" Christina Hedges and\n",
" Zé Vinícius and\n",
" Nicholas Saunders and\n",
" gully and\n",
" Oliver Hall and\n",
" Sheila Sagear and\n",
" Tom Barclay and\n",
" KenMighell and\n",
" Keaton Bell and\n",
" Johnny Zhang and\n",
" Emma Turtelboom and\n",
" Zach Berta-Thompson and\n",
" Peter Williams and\n",
" Jose A Lerma III and\n",
" Guy Davies and\n",
" Brennan Vincello and\n",
" Anand Sundaram},\n",
" title = {KeplerGO/lightkurve: Lightkurve v1.0b30},\n",
" month = mar,\n",
" year = 2019,\n",
" doi = {10.5281/zenodo.2611871},\n",
" url = {https://doi.org/10.5281/zenodo.2611871}\n",
"}\n",
"```\n",
"\n",
"You can also [cite the exoplanet project and its dependencies](https://exoplanet.dfm.io/en/stable/tutorials/citation/) using the following acknowledgement:"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"This research made use of \\textsf{exoplanet} \\citep{exoplanet} and its\n",
"dependencies \\citep{exoplanet:astropy13, exoplanet:astropy18,\n",
"exoplanet:exoplanet, exoplanet:kipping13, exoplanet:luger18, exoplanet:pymc3,\n",
"exoplanet:theano}.\n"
]
}
],
"source": [
"with model:\n",
" txt, bib = xo.citations.get_citations_for_model()\n",
"print(txt)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"and BibTeX entries:"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"@misc{exoplanet:exoplanet,\n",
" author = {Daniel Foreman-Mackey and Ian Czekala and Eric Agol and\n",
" Rodrigo Luger and Geert Barentsen and Tom Barclay},\n",
" title = {dfm/exoplanet: exoplanet v0.2.0},\n",
" month = aug,\n",
" year = 2019,\n",
" doi = {10.5281/zenodo.3359880},\n",
" url = {https://doi.org/10.5281/zenodo.3359880}\n",
"}\n",
"\n",
"\n",
"@article{exoplanet:pymc3,\n",
" title={Probabilistic programming in Python using PyMC3},\n",
" author={Salvatier, John and Wiecki, Thomas V and Fonnesbeck, Christopher},\n",
" journal={PeerJ Computer Science},\n",
" volume={2},\n",
" pages={e55},\n",
" year={2016},\n",
"publisher={PeerJ Inc.}\n",
"}\n",
"\n",
"\n",
"@article{exoplanet:theano,\n",
" title=\"{Theano: A {Python} framework for fast computation of mathematical\n",
" expressions}\",\n",
" author={{Theano Development Team}},\n",
" journal={arXiv e-prints},\n",
" volume={abs/1605.02688},\n",
" year=2016,\n",
" month=may,\n",
" url={http://arxiv.org/abs/1605.02688}\n",
"}\n",
"\n",
"\n",
"@ARTICLE{exoplanet:kipping13,\n",
" author = {{Kipping}, D.~M.},\n",
" title = \"{Efficient, uninformative sampling of limb darkening coefficients\n",
" for two-parameter laws}\",\n",
" journal = {\\mnras},\n",
" year = 2013,\n",
" month = nov,\n",
" volume = 435,\n",
" pages = {2152-2160},\n",
" doi = {10.1093/mnras/stt1435},\n",
" adsurl = {http://adsabs.harvard.edu/abs/2013MNRAS.435.2152K},\n",
" adsnote = {Provided by the SAO/NASA Astrophysics Data System}\n",
"}\n",
"\n",
"\n",
"@article{exoplanet:astropy13,\n",
" author = {{Astropy Collaboration} and {Robitaille}, T.~P. and {Tollerud},\n",
" E.~J. and {Greenfield}, P. and {Droettboom}, M. and {Bray}, E. and\n",
" {Aldcroft}, T. and {Davis}, M. and {Ginsburg}, A. and\n",
" {Price-Whelan}, A.~M. and {Kerzendorf}, W.~E. and {Conley}, A. and\n",
" {Crighton}, N. and {Barbary}, K. and {Muna}, D. and {Ferguson}, H.\n",
" and {Grollier}, F. and {Parikh}, M.~M. and {Nair}, P.~H. and\n",
" {Unther}, H.~M. and {Deil}, C. and {Woillez}, J. and {Conseil}, S.\n",
" and {Kramer}, R. and {Turner}, J.~E.~H. and {Singer}, L. and\n",
" {Fox}, R. and {Weaver}, B.~A. and {Zabalza}, V. and {Edwards},\n",
" Z.~I. and {Azalee Bostroem}, K. and {Burke}, D.~J. and {Casey},\n",
" A.~R. and {Crawford}, S.~M. and {Dencheva}, N. and {Ely}, J. and\n",
" {Jenness}, T. and {Labrie}, K. and {Lim}, P.~L. and\n",
" {Pierfederici}, F. and {Pontzen}, A. and {Ptak}, A. and {Refsdal},\n",
" B. and {Servillat}, M. and {Streicher}, O.},\n",
" title = \"{Astropy: A community Python package for astronomy}\",\n",
" journal = {\\aap},\n",
" year = 2013,\n",
" month = oct,\n",
" volume = 558,\n",
" pages = {A33},\n",
" doi = {10.1051/0004-6361/201322068},\n",
" adsurl = {http://adsabs.harvard.edu/abs/2013A%26A...558A..33A},\n",
" adsnote = {Provided by the SAO/NASA Astrophysics Data System}\n",
"}\n",
"\n",
"@article{exoplanet:astropy18,\n",
" author = {{Astropy Collaboration} and {Price-Whelan}, A.~M. and\n",
" {Sip{\\H o}cz}, B.~M. and {G{\\\"u}nther}, H.~M. and {Lim}, P.~L. and\n",
" {Crawford}, S.~M. and {Conseil}, S. and {Shupe}, D.~L. and\n",
" {Craig}, M.~W. and {Dencheva}, N. and {Ginsburg}, A. and\n",
" {VanderPlas}, J.~T. and {Bradley}, L.~D. and\n",
" {P{\\'e}rez-Su{\\'a}rez}, D. and {de Val-Borro}, M.\n",
" and {Aldcroft}, T.~L. and {Cruz}, K.~L. and {Robitaille}, T.~P.\n",
" and {Tollerud}, E.~J. and {Ardelean}, C. and {Babej}, T. and\n",
" {Bach}, Y.~P. and {Bachetti}, M. and {Bakanov}, A.~V. and\n",
" {Bamford}, S.~P. and {Barentsen}, G. and {Barmby}, P. and\n",
" {Baumbach}, A. and {Berry}, K.~L. and {Biscani}, F. and\n",
" {Boquien}, M. and {Bostroem}, K.~A. and {Bouma}, L.~G. and\n",
" {Brammer}, G.~B. and {Bray}, E.~M. and {Breytenbach}, H. and\n",
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" {Cano Rodr{\\'{\\i}}guez}, J.~L. and {Cara}, M. and {Cardoso},\n",
" J.~V.~M. and {Cheedella}, S. and {Copin}, Y. and {Corrales}, L.\n",
" and {Crichton}, D. and {D'Avella}, D. and {Deil}, C. and\n",
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" {Droettboom}, M. and {Earl}, N. and {Erben}, T. and {Fabbro}, S.\n",
" and {Ferreira}, L.~A. and {Finethy}, T. and {Fox}, R.~T. and\n",
" {Garrison}, L.~H. and {Gibbons}, S.~L.~J. and {Goldstein}, D.~A.\n",
" and {Gommers}, R. and {Greco}, J.~P. and {Greenfield}, P. and\n",
" {Groener}, A.~M. and {Grollier}, F. and {Hagen}, A. and {Hirst},\n",
" P. and {Homeier}, D. and {Horton}, A.~J. and {Hosseinzadeh}, G.\n",
" and {Hu}, L. and {Hunkeler}, J.~S. and {Ivezi{\\'c}}, {\\v Z}. and\n",
" {Jain}, A. and {Jenness}, T. and {Kanarek}, G. and {Kendrew}, S.\n",
" and {Kern}, N.~S. and {Kerzendorf}, W.~E. and {Khvalko}, A. and\n",
" {King}, J. and {Kirkby}, D. and {Kulkarni}, A.~M. and {Kumar}, A.\n",
" and {Lee}, A. and {Lenz}, D. and {Littlefair}, S.~P. and {Ma},\n",
" Z. and {Macleod}, D.~M. and {Mastropietro}, M. and {McCully}, C.\n",
" and {Montagnac}, S. and {Morris}, B.~M. and {Mueller}, M. and\n",
" {Mumford}, S.~J. and {Muna}, D. and {Murphy}, N.~A. and {Nelson},\n",
" S. and {Nguyen}, G.~H. and {Ninan}, J.~P. and {N{\\\"o}the}, M. and\n",
" {Ogaz}, S. and {Oh}, S. and {Parejko}, J.~K. and {Parley}, N. and\n",
" {Pascual}, S. and {Patil}, R. and {Patil}, A.~A. and {Plunkett},\n",
" A.~L. and {Prochaska}, J.~X. and {Rastogi}, T. and {Reddy Janga},\n",
" V. and {Sabater}, J. and {Sakurikar}, P. and {Seifert}, M. and\n",
" {Sherbert}, L.~E. and {Sherwood-Taylor}, H. and {Shih}, A.~Y. and\n",
" {Sick}, J. and {Silbiger}, M.~T. and {Singanamalla}, S. and\n",
" {Singer}, L.~P. and {Sladen}, P.~H. and {Sooley}, K.~A. and\n",
" {Sornarajah}, S. and {Streicher}, O. and {Teuben}, P. and\n",
" {Thomas}, S.~W. and {Tremblay}, G.~R. and {Turner}, J.~E.~H. and\n",
" {Terr{\\'o}n}, V. and {van Kerkwijk}, M.~H. and {de la Vega}, A.\n",
" and {Watkins}, L.~L. and {Weaver}, B.~A. and {Whitmore}, J.~B. and\n",
" {Woillez}, J. and {Zabalza}, V. and {Astropy Contributors}},\n",
" title = \"{The Astropy Project: Building an Open-science Project and Status\n",
" of the v2.0 Core Package}\",\n",
" journal = {\\aj},\n",
" year = 2018,\n",
" month = sep,\n",
" volume = 156,\n",
" pages = {123},\n",
" doi = {10.3847/1538-3881/aabc4f},\n",
" adsurl = {http://adsabs.harvard.edu/abs/2018AJ....156..123A},\n",
" adsnote = {Provided by the SAO/NASA Astrophysics Data System}\n",
"}\n",
"\n",
"\n",
"@article{exoplanet:luger18,\n",
" author = {{Luger}, R. and {Agol}, E. and {Foreman-Mackey}, D. and {Fleming},\n",
" D.~P. and {Lustig-Yaeger}, J. and {Deitrick}, R.},\n",
" title = \"{starry: Analytic Occultation Light Curves}\",\n",
" journal = {\\aj},\n",
" year = 2019,\n",
" month = feb,\n",
" volume = 157,\n",
" pages = {64},\n",
" doi = {10.3847/1538-3881/aae8e5},\n",
" adsurl = {http://adsabs.harvard.edu/abs/2019AJ....157...64L},\n",
" adsnote = {Provided by the SAO/NASA Astrophysics Data System}\n",
"}\n",
"\n"
]
}
],
"source": [
"print(bib)"
]
},
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"cell_type": "markdown",
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"source": [
"## Environment\n",
"\n",
"This notebook was run with the following conda environment:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"!conda env export"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
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"mimetype": "text/x-python",
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"pygments_lexer": "ipython3",
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"latex_envs": {
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