{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# KIC 9651065" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import exoplanet as xo\n", "import pymc3 as pm\n", "from maelstrom import Maelstrom\n", "from astropy.stats import LombScargle\n", "from lightkurve import search_lightcurvefile\n", "import lightkurve as lk\n", "from maelstrom.orbit import Orbit\n", "from exoplanet.orbits import get_true_anomaly\n", "import pymc3 as pm\n", "import theano.tensor as tt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from matplotlib import rcParams\n", "rcParams[\"figure.dpi\"] = 150\n", "rcParams[\"savefig.dpi\"] = 300" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "t, y = np.loadtxt('https://raw.githubusercontent.com/danhey/maelstrom/master/paper/lc/9651065_lc.txt', usecols=(0,1)).T" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ms = Maelstrom(t, y, max_peaks=5, fmin=5, fmax=48)\n", "ms.first_look();" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "period_guess = 300\n", "a_guess = 200\n", "\n", "time, flux = ms.time, ms.flux\n", "freq = ms.freq\n", "weights = ms.get_weights(norm=False)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "pg = ms.period_search()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 300/300 [08:44<00:00, 1.71s/it]\n", "100%|██████████| 300/300 [13:08<00:00, 2.55s/it]\n", "100%|██████████| 300/300 [08:56<00:00, 1.68s/it]\n", "100%|██████████| 300/300 [08:50<00:00, 1.85s/it]\n", "100%|██████████| 300/300 [10:05<00:00, 1.83s/it]\n" ] } ], "source": [ "periods = np.linspace(100, 300, 300)\n", "results = pg.fit(periods)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ys = np.array([[r[0] for r in row] for row in results])\n", "sm = np.sum(ys, axis=0)\n", "period_ind = np.argmax(sm)\n", "plt.plot(periods[:-2], sm[:-2]);" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "from maelstrom.utils import unique_colors\n", "\n", "hh = unique_colors(len(ms.freq), cmap='Blues')" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=mnras_size(240.))\n", "\n", "ys = np.array([[np.exp(r[1][\"logasini\"]) for r in row] for row in results])\n", "for i, c in zip(ys, hh):\n", " plt.plot(periods, i, alpha=1, linewidth=0.8, c=c);\n", "\n", "plt.xlabel('Period (d)')\n", "plt.ylabel(r'a$\\sin{i}$ (s)')\n", "plt.ylim(0, None)\n", "plt.xlim(100,300)\n", "plt.axhline(184., c='r', linestyle='dashed', linewidth=0.7)\n", "plt.axvline(272., c='r', linestyle='dashed', linewidth=0.7)\n", "\n", "plt.savefig(overleaf_path + '9651065_period_search.pdf', dpi=300, bbox_inches='tight', pad_inches=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Maelstrom" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "ms.setup_orbit_model(period=period_guess)\n", "# opt = ms.optimize()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "pb1 = ms.pin_orbit_model()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "optimizing logp for variables: [PB1_mean]\n", "5it [00:00, 16.85it/s, logp=-1.065613e+05]\n", "message: Optimization terminated successfully.\n", "logp: -106561.27624942982 -> -106561.26306231941\n", "optimizing logp for variables: [PB1_logs_lc]\n", "9it [00:00, 20.45it/s, logp=-1.042264e+05]\n", "message: Optimization terminated successfully.\n", "logp: -106561.26306231941 -> -104226.39963321917\n", "optimizing logp for variables: [PB1_omega, PB1_eccen]\n", "181it [00:11, 15.14it/s, logp=-1.002360e+05]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -104226.39963321917 -> -100236.02734631239\n", "optimizing logp for variables: [PB1_phi]\n", "21it [00:01, 15.82it/s, logp=-1.002145e+05]\n", "message: Optimization terminated successfully.\n", "logp: -100236.02734631239 -> -100214.47184126679\n", "optimizing logp for variables: [PB1_lognu]\n", "292it [00:17, 15.12it/s, logp=-1.002111e+05]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -100214.47184126679 -> -100211.13341350148\n", "optimizing logp for variables: [PB1_eccen, PB1_omega, PB1_lognu, PB1_mean, PB1_logasini, PB1_logs_lc, PB1_phi, PB1_logP]\n", "118it [00:08, 14.33it/s, logp=-9.991085e+04]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -100211.13341350148 -> -99910.85482848075\n", "optimizing logp for variables: [PB1_logasini]\n", "48it [00:02, 14.55it/s, logp=-9.991085e+04]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -99910.85482848075 -> -99910.85482848075\n", "optimizing logp for variables: [PB1_eccen, PB1_omega, PB1_lognu, PB1_mean, PB1_logasini, PB1_logs_lc, PB1_phi, PB1_logP]\n", "67it [00:04, 14.09it/s, logp=-1.571649e+05]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -99910.85482848075 -> -99910.85482848075\n", "optimizing logp for variables: [PB1_logP]\n", "63it [00:04, 14.40it/s, logp=-9.991085e+04]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -99910.85482848075 -> -99910.85482848075\n", "optimizing logp for variables: [PB1_eccen, PB1_omega, PB1_lognu, PB1_mean, PB1_logasini, PB1_logs_lc, PB1_phi, PB1_logP]\n", "67it [00:04, 14.16it/s, logp=-1.571649e+05]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -99910.85482848075 -> -99910.85482848075\n" ] } ], "source": [ "opt = pb1.optimize()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'PB1_logP_interval__': array(1.15567803),\n", " 'PB1_phi_angle__': array([2.23436892, 3.87396393]),\n", " 'PB1_logs_lc': array(0.11245058),\n", " 'PB1_logasini_interval__': array(1.13126127),\n", " 'PB1_mean': array(0.00050174),\n", " 'PB1_lognu': array([2.96926915, 3.07787135, 3.42757632, 2.87353169, 3.12211358]),\n", " 'PB1_omega_angle__': array([ 3.73297298, -2.46269836]),\n", " 'PB1_eccen_interval__': array(-0.00997314),\n", " 'PB1_logP': array(5.6068392),\n", " 'PB1_period': array(272.28224574),\n", " 'PB1_phi': array(0.52316012),\n", " 'PB1_logasini': array(5.22275749),\n", " 'PB1_asini': array(185.44484209),\n", " 'PB1_nu': array([19.47767905, 21.71213556, 30.80189831, 17.69941683, 22.69429519]),\n", " 'PB1_omega': array(2.1539708),\n", " 'PB1_eccen': array(0.44775606)}" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "opt" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# with pb1:\n", "# trace = pm.load_trace('traces/9651065_FINAL_VERSION2/')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Multiprocess sampling (2 chains in 4 jobs)\n", "NUTS: [PB1_eccen, PB1_omega, PB1_lognu, PB1_mean, PB1_logasini, PB1_logs_lc, PB1_phi, PB1_logP]\n", "Sampling 2 chains: 100%|██████████| 6000/6000 [2:20:19<00:00, 2.26draws/s] \n", "There was 1 divergence after tuning. Increase `target_accept` or reparameterize.\n" ] } ], "source": [ "with pb1:\n", " trace = pm.sample(\n", " tune=1000,\n", " draws=2000,\n", " start=opt,\n", " chains=2,\n", " step=xo.get_dense_nuts_step(target_accept=0.9),\n", " )" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'traces/NEW/9651065'" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.save_trace(trace, 'traces/NEW/9651065')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "with pb1:\n", " trace = pm.load_trace('traces/NEW/9651065')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
PB1_logs_lc0.1124882.788613e-034.318353e-050.1071750.1180114872.3091740.999766
PB1_mean0.0004534.311418e-035.258491e-05-0.0083080.0085334733.8539540.999893
PB1_lognu__02.9692696.947471e-081.007572e-092.9692692.9692694877.8990580.999750
PB1_lognu__13.0778711.401069e-071.790561e-093.0778713.0778724987.4257690.999809
PB1_lognu__23.4275761.153276e-071.482061e-093.4275763.4275775116.9238720.999820
PB1_lognu__32.8735322.410755e-073.310421e-092.8735312.8735325273.5644970.999758
PB1_lognu__43.1221142.028430e-073.086057e-093.1221133.1221145007.7463071.000491
PB1_logP5.6068211.533627e-032.720497e-055.6039345.6099093794.6424161.000395
PB1_period272.2776204.175774e-017.407073e-03271.492266273.1194743795.5983001.000395
PB1_phi0.5224926.838594e-021.535542e-030.3878330.6558642230.6473681.000448
PB1_logasini5.2218961.943783e-022.706993e-045.1832525.2597974904.9098280.999750
PB1_asini185.3202543.604021e+005.023618e-02178.238043192.4180104901.7642910.999751
PB1_nu__019.4776791.353206e-061.962515e-0819.47767619.4776824877.8990530.999750
PB1_nu__121.7121353.042020e-063.887691e-0821.71212921.7121414987.4257560.999809
PB1_nu__230.8018983.552308e-064.565028e-0830.80189130.8019055116.9238570.999820
PB1_nu__317.6994174.266896e-065.859252e-0817.69940917.6994255273.5642330.999758
PB1_nu__422.6942954.603379e-067.003588e-0822.69428622.6943045007.7463101.000491
PB1_omega2.1522936.991323e-021.443976e-032.0095892.2796232570.1337600.999965
PB1_eccen0.4465893.034053e-023.954959e-040.3871610.5072174711.4949260.999955
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 \\\n", "PB1_logs_lc 0.112488 2.788613e-03 4.318353e-05 0.107175 0.118011 \n", "PB1_mean 0.000453 4.311418e-03 5.258491e-05 -0.008308 0.008533 \n", "PB1_lognu__0 2.969269 6.947471e-08 1.007572e-09 2.969269 2.969269 \n", "PB1_lognu__1 3.077871 1.401069e-07 1.790561e-09 3.077871 3.077872 \n", "PB1_lognu__2 3.427576 1.153276e-07 1.482061e-09 3.427576 3.427577 \n", "PB1_lognu__3 2.873532 2.410755e-07 3.310421e-09 2.873531 2.873532 \n", "PB1_lognu__4 3.122114 2.028430e-07 3.086057e-09 3.122113 3.122114 \n", "PB1_logP 5.606821 1.533627e-03 2.720497e-05 5.603934 5.609909 \n", "PB1_period 272.277620 4.175774e-01 7.407073e-03 271.492266 273.119474 \n", "PB1_phi 0.522492 6.838594e-02 1.535542e-03 0.387833 0.655864 \n", "PB1_logasini 5.221896 1.943783e-02 2.706993e-04 5.183252 5.259797 \n", "PB1_asini 185.320254 3.604021e+00 5.023618e-02 178.238043 192.418010 \n", "PB1_nu__0 19.477679 1.353206e-06 1.962515e-08 19.477676 19.477682 \n", "PB1_nu__1 21.712135 3.042020e-06 3.887691e-08 21.712129 21.712141 \n", "PB1_nu__2 30.801898 3.552308e-06 4.565028e-08 30.801891 30.801905 \n", "PB1_nu__3 17.699417 4.266896e-06 5.859252e-08 17.699409 17.699425 \n", "PB1_nu__4 22.694295 4.603379e-06 7.003588e-08 22.694286 22.694304 \n", "PB1_omega 2.152293 6.991323e-02 1.443976e-03 2.009589 2.279623 \n", "PB1_eccen 0.446589 3.034053e-02 3.954959e-04 0.387161 0.507217 \n", "\n", " n_eff Rhat \n", "PB1_logs_lc 4872.309174 0.999766 \n", "PB1_mean 4733.853954 0.999893 \n", "PB1_lognu__0 4877.899058 0.999750 \n", "PB1_lognu__1 4987.425769 0.999809 \n", "PB1_lognu__2 5116.923872 0.999820 \n", "PB1_lognu__3 5273.564497 0.999758 \n", "PB1_lognu__4 5007.746307 1.000491 \n", "PB1_logP 3794.642416 1.000395 \n", "PB1_period 3795.598300 1.000395 \n", "PB1_phi 2230.647368 1.000448 \n", "PB1_logasini 4904.909828 0.999750 \n", "PB1_asini 4901.764291 0.999751 \n", "PB1_nu__0 4877.899053 0.999750 \n", "PB1_nu__1 4987.425756 0.999809 \n", "PB1_nu__2 5116.923857 0.999820 \n", "PB1_nu__3 5273.564233 0.999758 \n", "PB1_nu__4 5007.746310 1.000491 \n", "PB1_omega 2570.133760 0.999965 \n", "PB1_eccen 4711.494926 0.999955 " ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1000/1000 [03:09<00:00, 5.29it/s]\n" ] } ], "source": [ "from tqdm import tqdm\n", "\n", "taus = []\n", "with pb1:\n", " for samp in tqdm(xo.utils.get_samples_from_trace(trace, size=1000), total=1000):\n", " taus.append(xo.eval_in_model(pb1.orbit.get_time_delay(time), samp) * 86400)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "med_td = np.median(taus, axis=0)\n", "sd_td = np.std(taus, axis=0)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "108.12878089572754" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mean = np.mean(taus)\n", "mean" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "np.random.seed(23)\n", "fig, ax = plt.subplots(figsize=mnras_size(240), constrained_layout=True)\n", "\n", "ax.set_rasterized(True)\n", "#ax.set_rasterization_zorder(1)\n", "\n", "with pb1:\n", " for samp in xo.utils.get_samples_from_trace(trace, size=10):\n", " taumod = xo.eval_in_model(pb1.orbit.get_time_delay(time), samp) * 86400\n", " #ttime = (ms.time_mid + time - samp['tref']) % samp['period'] / samp['period']\n", " ttime = (time) % samp['PB1_period'] / samp['PB1_period']\n", " #ttime = ((ms.time_mid + time) + (samp['phi'] * samp['period'] / (2*np.pi))) % samp['period'] / samp['period']\n", " sort = np.argsort(ttime)\n", " ax.plot(ttime[sort], (taumod - np.mean(taumod))[sort], color=blue, linewidth=0.4, alpha=1, \n", "# rasterized=True,\n", " zorder=1)\n", "\n", "\n", "ax.set_xlabel('Orbital phase')\n", "ax.set_ylabel('Time delay (s)', c=blue)\n", "\n", "\n", "times = time# + xo.eval_in_model(phi * period / (2*np.pi), samp)\n", "fold = times % np.median(trace['PB1_period']) / np.median(trace['PB1_period'])\n", "sort = np.argsort(fold)\n", "plt.fill_between(fold[sort], (med_td - sd_td - 108.12878089572754)[:,0][sort], (med_td+sd_td - 108.12878089572754)[:,0][sort], alpha=0.2, color=blue)\n", "\n", "\n", "ax.set_xlim(0, 1)\n", "\n", "plt.savefig(overleaf_path + '9651065.pdf', dpi=300, bbox_inches='tight', pad_inches=0)\n", "#plt.savefig('rast.pdf', dpi=300, bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mass_func : 0.092 + 0.006 - 0.005\n" ] } ], "source": [ "from maelstrom.utils import mass_function\n", "import astropy.units as u\n", "rounding = 3\n", "samples = pm.trace_to_dataframe(trace, varnames=['PB1_period', 'PB1_asini'])\n", "mfs = mass_function(samples['PB1_period'].values * u.day, samples['PB1_asini'].values*u.s)\n", "#mfs = np.array(mfs)\n", "upper, med, lower = np.percentile(mfs.value, [84.13, 50, 15.86])\n", "print('mass_func', ': ', np.round(med,rounding), ' + ', np.round(upper - med,rounding), ' - ', np.round(med - lower,rounding))" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "period: 271.86 + 0.42 - 0.42\n", "asini: 181.74 + 3.48 - 3.70\n", "eccen: 0.42 + 0.03 - 0.03\n", "omega: 2.08 + 0.07 - 0.07\n", "phi: 0.45 + 0.07 - 0.07\n" ] } ], "source": [ "varnames = [\"period\", \"asini\", \"eccen\", \"omega\", \"phi\"]\n", "for var in varnames:\n", " percentiles = np.percentile(trace['PB1_' + var], q=[15.87, 50, 84.13])\n", " print(f'{var}: {percentiles[0]:.2f} + {percentiles[1] - percentiles[0]:.2f} - {percentiles[2] - percentiles[1]:.2f}')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Subdividing" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "td_time, td_td, td_err = np.loadtxt('../data/kic9651065_uncertainties-plus-time-delay_Q99_llc.txt', delimiter=',', usecols=(0,1,2)).T\n", "td_time += 2400000\n", "td_time -= 2454833\n", "plt.scatter(td_time, td_td)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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9GY6pn0BqjG+I29kU87I57nvRp9y5JUaH38m3jqqfycgm8HXCZPvngl4TYg4ygFhvCKbLDinmcy/IP8wcae+JXczIYxDoY7TRwXS6dOHS9QoE3Xbu393F587a5YYNkNHyzaMzxHwObh2OyA0jP5BCcBk3w5tu6gOkQFLNL/3BoD7z+WyZs/N57lhehXwFPA4br97bzdePTFOsbIAiIiHoe/ovea31ILfb1Uyc+ZOyV9Ctvwxe1XXWsUtWUJ59hDff1IfVovCln2yA2MCxLyAsdv5pdsdVWeUgjY5X7urkkRPzsr5FUSC+HRZO6HyyV3Fu7T4Brdgc97Glw8dY3q6K+fPyD8kR2UnRCDQaUtCG7+KpMbnUvnUoctVPf2B/D8dLYYRiMXyuuRCCJ0cWedmWmHSxnHkYPvlm+P5fwNOfuPDBUz+BD91Aj5JgV3eA778wt+RiAcNa5k+NJgCWLlZXwRtv7CVXrvGDU8Z3k3H6e3SWxwCwHVObvj3xYbA54fZfX3qcxaIGAh8l7nNw80CYh09cpqrXKAgBx77EXMftLNa93Lfz6sQc4FW7uyhU6vzwtNr4LrZdXuTaHAu5ZsQcpO/8bNaKKKWWxBxktaURmHseigkp5iMJwh47WzpefGnX5PYtUbA6Sds7DG+ZT6VLzGbK3DQQhnNPwKd+Rk5oGboTvv2HF57/kx+RF6eRx3jFzg4OjSXIpFW/srdDFmUYMGh4cCSB2269MC85Mw3Tl29dfMtQBK/DyiMnjS/m1cf/gVkR4nTsFfD8l+X78NxnYN9bwXvRamTT3ZCbgYWT3LOjg2NTGWaN3IRr4ilIj/N96x2EPHZuGghd9VNfuimK32lbCtbHtkmXYJtXkNeUmN+zvYOU8KCUMzBzVOZkg3FcLc3iguE7OTSW5ObByBUzIC7G47Bx26YIZ+udhveZP62uPG7uD8BXfgP8nfDzX4Y3/rNs7/ulX4VGXa6ijn1JPmnyae7d0UFDwE9Oq0G02FbpcjFgFeiTIwluHgxjXx7c/dbvwYP3wdSzKz7HYbPwsi0xHj0xb+ysltnnsY89wr/W7qe27+1QTMLn/zPUinJS/cVsvgdQ4Nt/wL1bpIFy2Z47RuDYF8Hq5NOZvdw0EH7RAP1yHDYL9+zo4LsvzMp+LXE1N73NrpZrSswPDIUpW9UKvOlnYfO90pdnlCEPI49BZBNzlhgjC3luHQ6vehcv3xbnhXKMugFSoa7EM2NJ3HYrOxe+LT/k9/0p+OIQ7INX/y8492P48Yel/7VWVINIT7O/L0TU6+DwGTVIGN0ibw3mN08XqhyfyVzoYhFCHSdWhs/+nAzCr8DLt8eZTBU5c3HFq5F49t+oKQ4+xysYvOX1sof32OPSndK5+9LHhwbgdX8Pp7/Ltod+kS0BYWxXy8Qh6r0HOLzQYH/f1VvlTV61u5PFfEUaLbHtcuN8eyt8rykxt1stdHWpUfd6RQZmuvYawzKv12DshzB8F0+rqWkHVuEvb3L39g7GRAfWUtLQDcWeOZfk5j4f1h/8NXTuldOTmux/O+x4HXz/z2UjrY7dcjjH7FEsjQr37Ojg1ITqJ49tlbcG85sfGksgxEX+8oWTcvzYzb8g3S1f+fUVn3v3dhn0fuSEgV0t2RnmLTF6e/pwu92w6w1y+0t+9fLPOfCL8OYHUc79mD8IfYfHTy1cWARmJJIjLDj6EAL29Qdf/PEXcff2DuxWhe8fnwN/lyxWNC1zbdnSv6wApynmcy+0f/jqwkkoZ2Dgdg6OJnDZLezpWf2HaHPcS9qrNtFvZuwYjEKlxrGpDO90/0j6xu/5HzJI1kRR4HUflF+AxFm48Z3Qe7O8AM8e5RU7OrBU1GyWqCrmBss1PziSwGG1cEP/Mqtu7Ify9vbfgJe8D45/DarFS57bG3KztcNnaDFvFBLM19zcMqSuHu/4Lbj3j2Drq678xL1vgf6XcHPlKfKVOk+NGDCnvpSB/DwjDRn0XItl7nPa2N8X4omzi/LzHNsG8xtQzBVFuVdRlAcVRXmToigfVX+3KYrya4qi/P+Kovyd1id6tezeNLB0p2MndO2Ty96FNnd0mz9+/pwOjSa5oT90QXe9q0VRFELbbgegNvZjLc9QMw5PpKk3BLdlH5IX1O2vvvRBvji84R+l1b7/7VLMASaf4WVbY/gVVQQNapkfHE2wry+4VEgDclCBr0vmHnfvl9sudodVi/DUx7lnW4SDI4mVW/8agGJmkVTDw82D6sojPAh3/VdZwv5ibL2PQOp5emwZHj1pQFeLmgl2tBChP+ImchV1Hivxkk1RjkymyZVranriBnOzKIqyBbgJcAFvFUK8B3gMeAVwpxDi/UBKUZTtKzz3PYqiHFIU5dD8vD5WSSgio+xJaxQ8EWmZQ/tdLfMnQLFQDGzi2FSaA4Ord7E0ObBrG2ca3WROPq7hCWqHDH4KgpkT0H+btFxWYtv98L7H5fsU7ANvHCafIeCys6m5aPF3gd1rKJ95vSF4fipzoVUuBIz+EAZvVy019SK0ePrCJx/5PHz9t3l9cJRKvcGTZ1f2q7ebaj5JGi83D64+rsOW+wB4R/QUB0cM+PrU5IHHE4E1WeVNXrIpSr0hODSakJZ5bratrs9Vi7kQ4rQQ4m/Vu03fxTTQvcL9i5/7USHEASHEgXg8vpbzfXHUnubP1/pkpDm6RU4EaXcQdP44hIc4lazRELC75/INfV6MW4bCHGpsxz1zSOauG4xnxpK8JFrEUk6vHCxbCUWR1vnk0wBsCQrqQqGEUwq6gcR8bDFPudZge9eydrepMchOSTEHiGyWt4sXrQjHnwRguzKGzaKcz1U3GrZyipojRNzvXP2Tu/aBr5NX2A5zdCpjvMZbalrsU5ngusT8psEQdqvCj88uSssc2uoBWK/PvBnd6AZmgMZF91tPU8zrvRyfyYDVJpf6RrDM4zs4OSszGLZ1Xdr3+moJeRxM+PfirqUvFQsD8MJ0hnvD6vK6uTK6GnpvlkvVUoZBX4M8bp6dSBtOzJs9u3d0Lbsgj/1I3g6+TN46feDvkd0FlzPxFACOhRfY3RPg0JgBfcpC4G7ksPvWuHpUFNhyH5uzB6FR4yfnDBaoT5yl7IqRx83+/rWLucfR9Jurljm0NQi6XjH/nKIoHwPuAh4CHlMU5cNAUAhxfN1ntxacAdK3/z6frt/DU80lXjOjpV15vfWqXG7Ht3NyNovDZmHwCi1vr4rBlwLQGHtC5msf+5LsYtdmsqUqU+kS+2xqOXfHpQMpLkvPTYCA6WfpctXI4ZJuCH+XoXzmJ2azUq+WF3yN/VCm78V3LG2Lbr7QzVJMLsVOZo9yYCjCc+MpKjVjra6qxTRWGniCV+50eUW23Ie9kuYGyxkOGm31kRxl0d6DRYE9vWtfIYN0tRydTJN194DV0dYg6JrFXAjxTiHE14UQvyyEeLcQoi6E+LgQ4teEEL+j5UmuCkUh+Kr/TjGweak7XeceWXnZroyIxFloVCG+gxMzWTbHfasqUliJ4a37WBABMid/IKeEf+5dcPKbGp3w2jkzL7NQhmpnITQIrlV8WXpvkreTT+Oo56lZvTw5sgj+bmmZG6TI5sRMlqGoF7djWTBw6lnoPXBh1k5sq1w5Nc97QrqQ6NoH88e5dcBPudbg6JSxWjZPTMqBKcHI1fUNWpHN94Bi4c2BE0tGlVFInGWk0cmWDh8eh21duzrvNx/PStfaxTGSFnLNpSY2uWU4wlOjCVll15yd2a6qyaY1Ft/Oqdks2zuvvoT/ctwyHOXpxjbcI9+Bh/9SbsxMrXu/6+XUrHRBRPKn5EV0NXgismp38mko57C4/Dw7nqLh65SFRWVj9Ng5MZtl2/L3sFaW73H3vgsfGN2qdvBclPcnDsq5rzf9PNRK3BKQ7odDBrNcJ6blKigWu/p+JZfgDkPXPl5iP8lPxpNU6wZZfVSLkJnkeCV2yZjGtSArgBWZohgeUsfQtYdrV8yHIsxly5xLFOR0Hmhfcyp16ZXxDTOVLq3LX96kL+zmhGMXzmoaAj1gdRrCFXF6LoffVsOeOgtdqxRzUIOgP4FKDrsnQKFSZx41o8IAfvNStc7oQp7ty/3l88ehUbv04tWsXm0GxcaflAHh/tsAiOROMhT1cMhg/c1nZ+X/uauz60Ue+SL038pA4QWq1SpHJw2y+lDF9kghclUtb18Mt8PKru4Az42nVDEfbdsK8poV82Zl3sGRBAT7pUXUTss8NMCppLROtmtgESiKQqrvXil0b/qo6lduf2HNqbkc94TmUURj9ZY5SDFXJ7e4fTI4daqgfukMcrFqiIvew5mj8rbrIss8por54mkZ15h4GvpulZkPFhvMHuPmwQhPjyUN1aclsSiD107/2tNnAei/DVu9wHZl3DhZO2omy0ijk81xrya73N8f4shEmkZoUPYRyi9ost/Vcs2K+Za4j4DLxjPnUmBzyDzmdlrmyzNZNBBzgIFtN3BL6cNMBm9U/crtF7tTc1lu86oW9NWmJS6nR/WbFxbwBWRh1dGMGiw2gGXezGS5IC1x5ojMhW+uAJsEB8Bil37zuRdkZ73+22QL2dg2mDnKLUNhFvMVRhbyGIVcSq0Bca8hx3w5fbcA8Er/6PnGa21HFfNR0aWJZQ6ygjRfqTNtUVcyyVFN9rtarlkxt1gU9vYFl5Z3zSVQq6nX5DI7vp0TM1k8Diu9Ibcmu25W5z17LiW7ErZZ7AqVGuOJIrut56S4hYdf/EkX070PFBlYtDj97Ojyc3BBHchhADFvZiMNRZdlI80cgc5dl1ZHWm0yXrNwWjYVAxiQLhY6d8PsMQ6o5fJGEbtKrUE1p1rRrrWn7QGy+ZaviztcIxyZMIqbZYSSLUAaH8Mx7SxzgCMF9eJnirn27OkNcnwmI5v9hNs01T41JtsJxGRa4tZOPxbL1be9vRLbunzYrQpHJtPSMm9z/5Izc9K6HKicVcVtDR8vh3cpndHpY3dPkKdnagiHzxBifnwmy5bl2UhCSDG/XD59dAuc/JYcYfjy31tqy9y5BzITbPLW8DqshvEpjyzk8ZOnodjke7EeFAX6b2F79QWm0iUWcmVtTnI9JM4yZ+umO+jC61xfJkuTTTEvfpeNJxLq/8sUc+3Z2xukWhecnMnJJXBhofV9sZsZJqEBTmqUydLEabOyoyvAkcmU9JmXMxdO6Gkxp+bk/zZQGFuqiFsLvTfKW4ePPb0B0sUqNU+nIdxIJ2ezF7pY0uNQTl9ezGNbQNRh/8/C3b+/tF2NJ1jmjrC7JygvyAbg5GyWEDkartDl2zCshv7bCBQniJFu/2sUAqYPc0r0s0kjfzlIL8D+vhCHpkqyN48p5tqzr1dd/kyml5b8rbbO1bS0tBJgIVfRzF/eZE9vkKOTGYRPTSNro3V+ai5H2FrEVphbKmdfC82mW84Au9XOkhl7tO0rj2KlznS6xKaYF775e/DDDy1VFndeRsxveAfc9d/g9R+6UBx7bwIUOPcEe3qDPD+doWaA9L1Ts1mCSh6LZ53+8iZ9twJwk/Vk+10tqTEoLPDD8pBm/vIm+/uDHJ/OyiCoKeba0x9xE3TbVTEfkhtb/Y8uyMj2WFn6WLXy0zXZ2xskXawyJ9TMgza6Ik7N5rg9rH5hm2l5a0EVADwRdnT5sVoU5kS47Zb5RLIAwF7rKDz5z/DQH8N3/x9AkW6llYhvh3v/QAbhl+OJSOt89HH29gUoVRvnC67ayen5HJ2OEhb3Ov3lTbr3g9XBbzq/Qdexj13aRbKVTBwC4MnyJnlB1pD9fSFqDUHS2WuKuR4oisKe3oD0R7Yr11ydNjNakF/m/vWW8V/EXnX+5PG8+uFso+Cdmc9xs08tkFmPmHfugnd9DXa+HpfdytYOH2MVf9urQM8lVDGf+Hdw+GDn62UvmeiWtfmXh+6A8YPs7ZIB8ba7IZCvMWYprD+TpYndBbe+hz5lnrcmPnLZgR0tYfIZGlYnJ0Qfm1cxe/dqaHbQPNeIQ2ZSFpK1mGtazEG6IU7MZKnY/OCOtN7Nkl8AZ5DxtOxJ1hfWJpOlybYuHw6rhWeSquXXJsu80RBMJAtstc4ByqVpeqtl+E6Zwgfs7gnyQs4LtRKU2te06VyiQJwUkbNfle18SR4AACAASURBVO6Tt3wC9r0d9r9tbTscehnUigyXT+JxWDky0f6GVOOJIgElt/5MluXc/wE+d8/3+UTtfsTkMzLDqx1MHmIhsIsaNjZp7GbpCLjoDro4VooAAlLjmu7/arjmxXxvb5BKvcHJ2awUmJZb5ovgiXBusUDM51x3L4iLcdqsbO/yc2imIVv95toj5rPZEtW6oE9MySItu3YXrd09Ac6W1FhDGwujziUK/KLze7La87b3gtUOb/oI3PW7a9uh2mHReu5xdvcE2m6ZZ0pV0sUq3kYOtHKzqOzrC/JcYzNKrdiezoL1Kkw/xxnHDtx2K90Bl+aH2NUd4OmM2oi/Da6W60LMYVkQtOU+80XwRBlPFuiPaGuVN9nTG+TIZAbRxlaxE0k5GShaGpfdAjVkT2+QWdEs6W+fG2k8UeCtlodRtt2vzWv0ROT809HHDREEHU8UsNDAWctqa5kjhe4Iao+kyWc03fdVMXsUaiWeqW9mOObVLD14Obt6AjyRVI2ONhQoXvNiPhDxEHDZloKgqfHWzgMtLIA3JsU8rK2/vMm+viCZUo2yK95GMS8AAm9udH3+8hXY1RNgDlVc2hjgnVtMEhOJ871VNEH1m+/rdrc9CDqeKOJHxgU085mreJ02rNEtFBQPTLVBzNXg5+PFAQaj+nwPd3YHmGkEaVidpmWuBzIIGlwKgoo6pM617gQKCRruCFOpEgMaBz+bNFcfCUu0bWI3nigSJYO1ktHcMvc5bbgj6qDuNlnmQggqSbVHe6BHux0P3QHVArfY1QZQbXS1TCQLBBX1YqKxmwVgZ2+I59ncHst88hmEN85PMn7NKrAvZmd3AIFFDlyffk6XY1yJa17MAfb2yRzQakSdBjLforkZQkB+gZw1RL0hdHOzbOnwYbUozDRCbbXMb/JqkMlyGTb3dpLD07Zc84VchVBdbaDkv2Qi4tpRe7j3VEZw2S0cn25fm9/xRIEehzpIW2M3C8jJTAerw4jZo60fpDL9LNXOGyhVBb0aJyE0GYx48DisPO+6Cc49AZXWrrKuCzHf1R2gUm9w1tIvN8w+35oDV/JQL5MQMnKul5vFZbcyFPUwUvbJZk5tqAKdSBbZ71HFTmPLHKTffKYRopKa1HzfV8O5RIFO1J4lWlrmvi5QLFiy02zt8HNitsUVyssYTxbZ7FczTTR2swDs6PLzXGMTSqMmfditJDtDxikL6/SyzC0Whe1dfr5f2yOH0Yy2duD6dSHmzVmNxxcb0m/eqg+SWv05W1PFXCc3C8jX+EJOzXVug/U6niywwz4ruwQGBzTf/+6eAHMiRCnRHjEfTxToUtRmWFpa5lYbeDsgO8X2Lj/HZ9on5hPJAoOeiryjg5tlR7efww31Qt9KV0ujAaUUKSGDkz06iTlIw/FLiQGEzQ2nv6fbcVbiuhDz4ZgXm0WR7Us7dsNciyxztfpzsuLBalHoDmqfDtVke5ef53PtKRyq1RtMp0oMMC3jElZt0y9B5prPEm5bauK5RIEuJYFw+uWwZi0JdENmmh1dfuazZRL5irb7vwqEEIwnivS61GIXHdwsXQEXeVcHWVuktUHQchpEg4W6NKa0rvVYzs7uAIslC+Xel8CZ7+t2nJW4LsTcYbOwOe6TYt65S5YUt8Jnp1Z/jhTd9Ibc6577eSV2dPmZE+3J+JjNlqk1BB2VifX1ZLkCEa+DgiOOuzzXlirQc4kCg/Y0il9DF0sTfw9kp8838Do+03q/+WK+QrFap6vpM9fBMlcUhR3dQU5ZhmH2mOb7vyzq93C6Kn3aQbddt0Pt7JZegNHQS2Qf+xYmW1wXYg6wrbmE7dglM1paUbigullO5Zy6BT+b7OgKMN8U89ycrse6mAm1zN1XnoFQv27HsYV6sIuqnHLfYs4lCvTZUtKK1ppAN2Smzov5iTa4WsbV9zBqLcriMw2Lvpazs8vPSDmIaKUrUP28TJRc9IbcKFp0g7wMO7r8KAoctKpDVlroarluxHxHl5/JVJF8eIfc0IogqDo+6oWUXbfgZ5O+sJuaw08D63n3TqsYTxbxUMJWzWnrT74If6wPgEIb/ObjiQJxkZBWtNb4u6GUIu5sEPE62iPmatFXSMnr4mJpsr0rwGQ9APl5OUqvFahiPlpw6pbJ0sTrtDEY8fDjdAQCfXDGFHPNabaePV6Jy+HHcy1Y5hUWERYbYwWbrsFPkJH0rZ1BMpZAy2cQTiQLdFlUa1nLTI+L6OwdlMc7d1a3Y6xEpdZgNlMgUF/UyTKX/zMlO832zvYEQZuWua8yD964bsfZ0e1nToTljNj8vG7HuQDVzXI6a9c1+Nlka6efU/N52PRyGPux7sdrct2I+Q51CXtyvijbkrbCMi8sUHdFAEV3MQf5GucbPoTq3mkVE8kiOzxqOqR/nRPdr8DgkMxfn50c1e0YKzGbKREVGayirs/Ko7lP1W9+cjZLo9HauMBEskDUY8c28yz07NftONs7/UvuwFbFdopSzMeKLt3SEpeztcPH6EKeWnizOhCnNanC142Y94bceB1WNQjaooyWQoKSXX5we3TMZGmyo8vPQt1PNdsii0dlPFFgu7cp5vpZ5tEu6Y/Pzk/odoyVmM2U6FR0yDFv0tynmtFSqNTP97ppFRPJIjeFsjLO0xwOogNepw2lecFvld+8kECgkMGrayZLk22dfmoNwZxNfZ2pMd2PCdeRmEs3hF9mCnTskul76vJLNwqL5G1SzDt16NJ2Mdu7Aizip9ZiMZ9IFtnkVDMw9HBDqCgOL3nFS6M5iq9FzGRK+uSYNzlvmU+1LaNlJl3iNrvaHEpHMQcIxNUgecss8yQ1R5AGlpa4WbaovdLPVmNyQ9IUc83Z0eXnxEwW0bFTbpjXOaMlv0BGkalKHQGnvsdC5ponRABLC90sjYZgJlOi25KSAxuc2o7Fu5iCM46jONdSN8RMukSXnpa5KyD/d5np87GdVgdBZzMldolTMpOl4zJTkzQi3i3FvJ5pnZulZJPfw1a4WTbHfSgKHCuq7iTTMteebZ1+koUqCZsa4MnqbOEVFkkIH2GPHafNqu+xkLnYRXsIVy3dsgEAi/kK9YaQ3QR1zGRpUvN2ERMJpjOt6+0xly3TY00hFKt+wUF/N2Sn8Dpt9IbcnJ5vXUuGYqVOplRjqHwcuvbJPu06MtQZJil85BdblJVUSJC1yPGDHX79jSq3w0p/2MPhhA3s3pZ1ULzuxBzgTFGt4NOzmrBRh2KS2bq/JS6WJjafKjZFnV1IKnNZKarB6oKuLpYmtlAvXUqC03OtE7uZdIkhe1r6ei06XZTVKlCQy/RWvr7ZTAkrdTqyx3V3sQBs7vDJ1gzJFol5MUlK+OkKuHQt3FvOtk4fp+fyEB403Sx6sLlDlrufSFlleqKeZe/FJCCYrnhaKubusGwmRItcLXMZWf7tqcy1xDL3xgfoIMWZ2da1ip3JlOi1pvR9fWoVKEgxPzOfa5kraTZTYpsyga1Rao2Yx3zMijCihdks83Wv7jnmy9nS4efsQo5GcMB0s+hBV8CF12HlzEIB/J36RtNVMR0re+hqoZiHYlJw0gut6c8ymymh0MBRaI2Ye6L92JQGM1OtK5OezZToIKFr2iWBbinmjQab4z5K1QZT6dZktMxmy+y3nJF31Ja8ehL02MnYojiKrcozTzJbdbcko6zJ1g4f1bog4+6VlnkLWlBcV2KuKAqbVasHn84j1tTCnXNFF50tCH426eiSQxzmZlqzhJ3NlAmTQ2lUdS0YOo96jOxsa6wdIQQz6RLh+oK+r8/fI2eL5ufPZ0O0ytUylymxXzmDcIUgsqklx6x5OvBVF/UXuVoFKlmmK246WmhUNV2600onVPMtWSlfV2IOMtJ8ei4nrSw9xVwtIU4KP50ttAh6emTJe3KhNel7s9kS2z1q5oWelmsTVVDLyQlEC6yddLGKUiviquf0t8wBslMtF/OZdIl91lHouRF07FuyHFuwCzs1hN7pwaUUAPMNH3Ff64yqpkv3TDUqN7TAb37difmWDh/T6RIVT4e+k+zVAGRS+Oj0t07Muzql2BWSrWm2NZcps9Wjf8HQeQJy5eGvzLPYglaxs5kyMUXN+fZ16ncg/1LhUMTrIOyxt2we6FymyGZlEkXnlMTleKLyfUzPjet7IPVikRI+4i3IZGnicdjoC7s5XFCHfKRGdT/mdSfmm+PyiplQIlBKQ1Unv6RqmafwtTQAarE7yCo+qtkWiXm2xJBD/4Kh83iiNCx2uluU0TKTKRFFDbbq2LPk/P8uI91jWzp8nGmRZS6So7ioQMeOlhwPINwhc81npnS2WFWjKkVrxRykq+VgUs2cMy1z7dkcl//cybosItDN1VJMUldsFHDSGWzth6hoC6HovXxVmc2U6LcmAUVfy7WJotDwddPZIjGfTZeINi1zb0y/A/m6wBM7P0V+S4evZbnm/sxp+Ut8Z0uOB9DVOwRAcrY1lnlS+Ii10M0C0nB8frGB8ERbkmt+3Yn5YNSL1aIwUlIrFXUU86ItgNViIept7Yeo7o7gribJl/UtHKo3BPPZMp2WlLRadS42aWIN9dJrSbbOMj8v5jpa5hYLDN8JI4+BEGyO+0jkK7pPHRJCECuqXSjj23U91nI6e2QHzKLe7YybK+QWu1kANsV9VGoNKv7+lqQnXndi7rBZGIx4ls3L1E/Mc4qfDr8Tq6U1QaUmFl+ciJLhrM4+18VcmYaASGOxNcFPFSXQQ5+1dWLe71D/jx4dLXOA4btkVfLiGTarQdAzOlvnmVKNYTFOztkl2wq0CIvLRwE39bTOueaqmyVrCRDSccLQSmyKSY1JO3tMN4tebIr7eDap+rH1qgItJknja2k6VBNXsIOoktVdCOaysmAoUNU5be9iAj3ExCIjLXBDzKZL9DlysneKQ+c2xkN3ydvRx9gSb01Gy5xaMJQPbdX1OCuRtcewFnTunFhIUFNseLwBLC02qobV+NyspRPS43KwtI5oKuaKotyuKMq/qj/6jStZJ1s6fBxOWhAWu35VoMUkiYaXrhbmmDfxhbsIk+X0rL7Nmppl4J7CVEsKhs4T6MUhKuTT85Sq+k6rmc2W6LLl9PWXN4lullktI4/RG3Ljsiu6i/lsqsBmZYpGtHUuliYVdxxfdVHf97CYIGcJEG+DURX3OfE7bZyrhc/XEOiJ1pb5e4D3Ah8H3nbxHxVFeY+iKIcURTk0P9/aNq3L2Rz3Uq1D3duhXxVoMcVczd3STJYmVl8Mu1JnZl5fq2c2U+a1liewVdKw5T5dj3UB6oWjW0kwuqivK2kmraYm6ukvb6Io0tUy8gMs2Um+a/+v7Dz9MV0PmZ85jUupYu9qXVpiEyXQRZwkY4sF/Q5STLYlkwVkkeJw3MvJkuq+yujbh19rMbcKIUrANHCJqSaE+KgQ4oAQ4kA83oIvx2Vo+iNzjrhulrkoJpmvtbYvy3lUK1Lvkv7ZdIFftX0FEdsB21+j67EuQM0171QSjOgYF6jWGyzmy4QbqdaIOUgxLyzAg/fR15gknj2u6+Ea6pAW38A+XY+zEq5QD51KijNzOq4gC0kSDR8xn0O/Y1yBTTEvhzNqeqLOffi1FvOCoihOpJC3qIvO6hmOSl9WyhLRx2deq6BUcqREa3PMz6MG6vLJWV2rJKOTD7PDMo5y52/LbIxWofrnu5UEZxf0E/P5bBkhwFdPtsbNAjKjBaCYJOuI46omqdX187U6EicBcHW3Li2xSaCjD49S5ty0fitIUUywUPe0xTIHGI75OJJVky02mJh/FPgI0tXySY33rRlhr4Og285MI6hPNotaQiwLhtrwIfLKEmJvLXU+SKkHL5v+30xbOmHPm3U7xor4OkGxsNmZZkRHMV/MVVBo4KwkW2eZhwbglX8G7/wP0pH9hMnoOkIukD3FtNIBTp9ux7gcjqC8KCdm9GuaJgoJEi0u5V/OpriXReGnYXGcLwjTC03FXAjxtBDiF4QQ7xBCtK4h8xoYjnk5Vw3IPNSqxoMO1NzWtPDS0cJS/vOolnlEyeondqUMmyvH+VHg1WC16XOMy2G1ga+TTc4MozqK+UKuTJA8FlFvnZgDvOy/wNAdOIOdRJWMrhesWGmMWeeQbvu/In5ZZJbVa0iFEKrP3E+8Hd9DpM4ILBTdnZDeQGK+kRiOeTlVUK0RrYOgy0r5o+3w1XljCMXK6y0/YmJaJ795QXaFrPtamJK4HH83fdakrkK3kCu3pmDoMnjDnYTJMTqv3zzQaG2OrLtXt/1fEZ+sTaimpvVxB1YLWOplkm0oGGoyrOaap2zxDedm2TAMRb2cbIq51lWgTcscH2FPG8Tc7ka8+q+5zXKcex97Gyyc0vwQzaHRdn+bAtnBPjoastlWulDV5RCL+QoxWlDKfxncoU4simBmVqcLciVPgBxVT+sKvi5AtcyD9UVm9BgDWGhfX5YmXqeNroCLGRHZWG6WjcRw3MucUFPhtfabq2KOK9zy6s8mllvfze/6PoCzmoLv/anm+88n5P/MEezQfN9XRXgIf2kKhQYjOqUnLubKdNvUTIs2WOaKegFJ6ZSVVFyUvupGK7pdroQrRMPioENJcWZOh/ewjaX8y9kU9zJaDUvLXMfCoetXzKPLxFwny9zqC2u739WeRtctPGS9C059FyraflmKKemacgdb0FxrJcJDWBsVOkgxsqBPeGYxV2HApf7f2iDmzdVALqFPYlh2Toq5Ndyny/5fFEWh4eukQ0npUy+glvLnrQG8Dv0Hql+O4ZiXE0U/NKrn3ZN6cN2K+VDMQwI/dcWmi5jXseD2tlfMh2JePl+8GWpFOPWQpvsup2WLXV+kTUv08BAAQ5Y53XLN53Nleux5QAF3RJdjXJHmBSSvT6VraUGKuSvSr/m+rxZroJsuJcW5hA6FQ6qbxeINo7Ro6MZKDMe8jFaC8o6OrpbrVsz9LjtRn5usNaJLADSHl0ibIuhNNsW8/Ki2nbo7Cs9/WdN913LzFISTcKhNXRtUMd/vS+mWa76Yq9BpzYAn0vqMHTiflRQmq4vYVZMT6mHaJ+aKv5Mem05ZSaplbm9DvGM5g1Ev00KdOKRjEPS6FXOA4ZiHeSWsfRVoMUmS1vdPvpjhmI8GFmZ7XwUnv63pIA6RXyCBn2i7XmOwHxQLu1wJ3TJaFvMtLOVfCY9cDUTRqQNmZpIFESASbF23xEvwdREjqY9lrro7ncF2i7lnScx1TE+8rsV8KOplshbQvAq0UUiQbHiJettTQtxkKCa7/B0JvFwOlT39Pc32bS0ukhCtbyt6HpsDAn0MW+cZWyxontomhGAxVyEk0u0Tc6sd4QoRUTK6+JRtuWlmRKQ96bNN/J14GzlmFlPapycWkuRxEQm0viBqOQMRD4tNl67pZtGH4biXiWoAobFlXssnSAlv+6xWlbjPic9p40mxC5wBOPN9zfZtLyfIWoMtbyt6AeFBuhoz5Mo1zYc4ZIo1ag2Bv55qS1piE8Ubp8ee0yUu4CrOMKfE8Dja4EJqouaa+2qLzGtcrVwvJGSOua+97k6X3UpnwEPKFjPdLHoxHPUyK8IoxQTUNPwgFZLtKxhahqIoDEQ8jCTKEOzTNNDrriYp2Nrc5Tg8SKgsvxxjGi/T53Py8+CptrCUfyW8MbpteV0sc195lpS9vS6I5lCTDlKav4eVQoa8cLU1LbHJYNTDLKaY68ZQzMscasaJhkFQpZQiJdrXqW05AxGP/JJ445DXaMizEPhqacqONmR4LCc8hLM0j4sy4xoLwWKujJ0ajmobfeYAnihRiw4B0EoebyMrJwy1k5gcinGz5aTmrXBrpRxFnIb4Hg5GPZyrhXRtg3tdi3l/xMPs+VxzjcS8UcdezZDG2/LZnysxGPUwkSgivB2Q00jMK3mclKm5o9rsb62EhwHoV+Y1F4LFfIUoaXmnndkQ3hiBRpqZTEnb9ETVQiy72yzm4SEaPTfxU9YfMabx6qNeylEQToNY5l5GqyFEehL+7adh/oTmx7iuxdzntFF1q1aXVlWgJSkAKdF+NwvAQNRDpd4gb49oN+mkWfjgabeYDwGw36v9gIPFXJmY0hTzNlW5AnjjeKopEA1tuyeqgbi6r4UToi6DZe9b2GsZpTitbe92USlQwChi7uFYYwilUZXzQHWYOnRdizmAI6SWMmvlT1bToXIWPz5nGwNLKoMR2ehnkSBUC1Bef7VkNSM/iFZfG90PcF7Md3uSnEtoa9Ut5Cp0WFQx97WpyhXAE0OhQYicpq9RqClySqhN1Z/L2f0mGihsnv2Wtvut5lU3S/vFfCjq5auN2/n2Gw/D+w/C0B2aH+O6F/NQrJsaFs3FXDhDba06azIQkemJMw21Ak0Dv3kuKf9XtkAbLVaQKwOHjy027d0sC7kygw71wudrp2W+1M74nIavsZwYB8ARalPHxOUEuhnx3cjthYdl21qNsNSKVK1uXPb2lfI3GYjK7+FIqqbbMa57Me+PBVgQQeoZjdITVTFXPG0ODqr0hFzYLArnyuq0Ew385oWkjC94Qm20WEHOzAwP0cccc9kyxYp2PuXFXIV+h9pkq51irrqyeuw5TbM9KolxFoWfUNCv2T7Xw2TvaxhkmuzoIc32aa8XEXavZvtbDwGXnYjXoeu80+tezAciHmZFmHJSo5ShwiIAVp8xxNxmtdAbdnOmIC0DLcS8nJH78LarL8tywkPEqtJloGXGx2Je7ZjoDIDdrdl+V42aSbPNV9bUMm+kJ5kWUUME6QHqW+4HIHviB5rt09EoohhEzEHNLNNxAPl1L+aDUQ9zIkRDK8s8LZevBAzgi1QZiHg4nlULJzRws9Sz85SFnXCovY3EAIgM4y1MYqGh6RdlMVehQ2lj9WcT1c2yyVPU1DK3ZKeYbnf15zK6egfJCDeVOY1679cq2KijOI0j5kNRj2mZ68lAxMO8CGEraJOaKJJjzIkQoYAxlq8gX+PRlFp2n1t/FF3kF1hsZ1+W5US3YqmX6VXmNbXM53NloqTaG/yE826WPkee8USBRkMbn7KjOMecCBsiOAgwGPMyKrqwJM9qs8OqvLDbDCTmA1EvU+ki5Zr2HTDBFHM6/E4WLRFclSTU1z+xpp4cY0LEDGPxgFx9LBQFDXdEE8vcWlwgKQIEXG3qy7Ictehkt1O7IGi5VidbqhGsJ9vrLwew2sEVpNOWp1xraDag21bNk8XdnklYK+Bx2Ji29uDLjWqyP6H277e729uXZTlDUQ9CoNuA7utezBVFod7MI9agClQkzzEh4obxRQIMqOmJFVdME5+5o5wk0+6+LE2iWwC4yaOdZd7s8+KtJtov5gDeOBG1gEkTV1K9ik1UqNk8OGzGkYC0Z5BQdU6T1hr5nBz353AbZ4U8qGa06OU3N8472UYsgWau+TrFvFHHmp2UYm4wyxwgZ9OmcMhVTVK0GcBfDtKn7Qyywz6rmZgv5io4qeCoZY0h5r5OAjUZWNfkNVZkyqXiMI7QAVSDm7DQgOTouveVzciLn9NrnNc4GJVGlV5+c1PMAXdY5tqK7DozWrLTWBpVxkXcML5IkG0LABJKUJPVh6+eouw0RrYOigKxLQyIaSaSBeoa+JQT+QoxDFD92cTfjbM4i9WiaCPmauGYxWUcoQOwdchVVmX25Lr3lc1Ky9zjNY6bJep14HVYTTHXk0CHzDzJzY+vb0cpOYZrQsSJtLmX+XJ8Thsxn4O5emD9AdBqEbcoUXO1uZR/OdGtdFTOUa0LplLr90cmC5WlUv52B0ABAt0o2Rl6gk5thEC1zG3uNg6lWAF/z3YA0pPrL+sv5FUx9xnnNSqKwmDUa7pZ9KSje5CscFOcemF9O1om5kYJLDUZiHgYr/hllH89w53VPHoMUhQFQHQLntIsbkqaWK6JfIX4eTE3gmXeA7USO8N1bdITVcvc7jGWZd7T3UNC+CjPrj89sZiTBV9+f3Dd+9KSQR3TE00xB/qjXk6LXpSFdVoEyTEAFm2duNs4DXwlBqNezhbXXzhUzsgmW1afgSzzmFyeDyszmnxRkoUqHUpK3jGCmAdkM6xd3oImrX4bJSl0To/BhC7iYUR0Y0mcWfe+ygVVzAMGe41RL+MauQMvxhRzoD/i5qTow5M+vb4dpc6RtsXwe42T29qkP+LhdFPM1xEEzaXkcx2+Ng81WE5Upidutc4wpkEzqmS+Ql+zL0u7i4YA/FLMt7ozJPIVsqX1pdAW8/JC5fIZS+hCHjsTlm68+bF176tclO+fz0BuFpCWuVbuwIsxxRxw2qzMOoZkKlp+ce07So0xZ+0k7DVA/vVFDEY8zDWbba3DMi+k5XNdbR6SewHRzYDCfs+CJiXviUKFHlsGXCGwGSCQrYp5v62Znri+11jIyv14DOaCUBSFjHuQYHV+fa5A5GAKAMVhLMOqmVmmxwBrU8xVckG5VGd+HX7z1BhTGM9fDmrhkGiK+dozWsoZebHzBA1gsTaxuyHYzw77rDZulnyFTkvGGMFPOC/mnYps4rZeV0sxJ8Xc52/z2L8VqITkwBES66sErZfVi4Hds84z0pYdXQH+8LU7z3cz1RJTzFVEfIf8ZW6NYl6vQXqScw1jivlA1MMi6pJzHW6WSi4BQCBsIMscILqZQTHJeKKw7inv51MTjeAvB7A5wBMjXJfxivUGQSsFKeaBoEFqBZZhVeMf9fn1uTwb5TwVHGAxVuwq4nXw7js3nU8X1hJTzFWCHbLRT21mjWKenQJR50w1Yqi0xCZxnxO73UnBGliXm0XkFykKB6GgsZboxLYSL0+QLddIFtbnU04WKoSFAUr5lxPoxlGYJeyxr3v1US1mqAkLIb+xslkAAmp6YmZ6nfGrap6KxaXBGW0cTDFXGYj5OC16qcwcW9sO1LTEU5WIIS1zRVEYiHhIWULr689STJLER8htsLhAaABHPUeA/LryeIUQJAtV/LWkcdwsIF0tmSkGot51TxyqF7PkSz4e1wAAIABJREFUcRE2UGFbk57OOFnhprC4vsHHlmqBmrWNrYvbgCnmKoMRDycbfdgW1zhoVU1LHBcdRAwYAAXpaplvBCC/sOZ9WMtJsoofm9VgH51gPwA9yuK6gkuFSh1rrYCzUTBGJksTfzdkpxmMeNYdPGuUs+Rx4zVY+iwstaSupddejV1vCGz1InWbsfzlemOwb2T7GIh4OCX6cJSTaxO79DgChRkRIWRAyxzUjJaaG6EOnV4L9kqavMVY6V7AMjFfWJcbIpE3WPVnk0AP5OcZCjmYSpWo1htr3pVSyVOyuA0x1vBiOv0u5ohgWceA9XSxipsyjXYOFWkDppirhDx2xu2D8s5agqDpCaruOBXshvSZg7TM0w03jWJmzftwVdOU7EYUc9mSYac7tS4xTxYqxFD/P0azzIFtvjz1hmByHW1ULdU8ZYuxUvaaWCwKeWcMV2ntQfpEvoJHKRtqylArMMVcRVEUSiFZfML8GipB0xMUXHKMmhF95iBXH1mxPsvcU89QsRsvpQ1vHKxOtrnS6/IpJ/IVwoo6+9NroCpXtbPnsEPNNV+Hq8VWy1OzGtcFUXV3EqwtrHm4c7JQwU0Zi4EGU7QCU8yX4Yv1k8EHM0dW/+TMJBmnXJYb1TIfjHrJ4MVazUFjDct0IfCJHHWXAcXcYoFgLwPWxXVb5pGmmHsMJOaqZd5jkdWb6/Gb2+sF6nbjdBO8GCXQjYMqQh2OvloWcxU8lLGaYn790h/1crQxhJg5vLonCgHpCRJWmcoW8hgzANobcpPDjYKASnb1O6jksFOTlZFGJNhHl1hgLlumWFnbaK5EvkoY44p5sDaPw2bh3DoydlyNAsJglZHLcYTlKiQzt7YupslCBY9SMtSUoVZgivkyBiNeDjeGYPbY6kbIFZNQLTBrieFxWHHZjZclAOCwWbA0hXgNrpaSWv2pGMn9sJzgAKGqDJyNJ9dmuaYKFWJKFmF1gMNAYuCJgNWJJTejTnlf2+urNwRuUURxGi/HvIk/JoPZC9Nr69GSyEvL3EhThlrBqsVcUZS9iqJ8Wf39dkVR/lX9CSmK8iZFUT6qKMqDiqLYtD9dfRmMeni+MYRSr6zOb56WObHTImpYf3kTd0Ct+iutPgiaSco2AHavgdrfLifYh6s0j53amnu0JPIVOu15FE9UDr4wCooC/i7IrC89MVOs4qVouMEUy4l2y0SEzBrnCyRVMbe5jLv60INVibmiKCHgrUBJ3fQe4L3Ax4G3AW8VQrwHeAx4xQrPf4+iKIcURTk0P7/+8WVaMxDxcFQMyTvTq3C1qGJ+rmbM6s/l+IKqVV1evZjnmx0TAwbK8lhOqB8FQaeSWLPYJQsVOqw5Y7lYmgR6YeEk/aqYr6VtQSKbxaHUsRnYau3uHQKgnJhc0/NT+QIOpWaslVULeFExVxTlNxVF+ZqiKF8Dfk0I8UdA0wdhFUKUgGmge9n25v0LEEJ8VAhxQAhxIB43niB0B12MK91ULB6Yfu7qn5iRH7rT1TBhg4t5KCxFqphdfXCplJb59x4jdUxcjpqeuNWRXLOYJ/IVIkrOWMM3mux8PUw/y822sxQqdRZylVXvIpuS77vdYL3Ml+P2+kjjo5GZXtPzC+pgCqM12dKbFxVzIcQHhRCvU38+cNGfC4qiOJHCPQM0o07N+xsKm9VCT9jLuHPT6sQ8PQ5WB2MFNxGDBj+bxKLyIppYXP3KqJKTPnNf2HgXYuB84dBub2btlnm+SoiMMS3zG98JzgC3zvw7sLaMlmxGirnLa1wxB0hbo9gKa5OQYl4Vc4cp5qvho8BHkK6WTwKfUxTlY8BdwEPr3HdbGIh4eIFNMj3xatP30hMQ6CVRqBm2+rNJZ4fMuEknV9+3va6KeSBkUDEPyMHcW53rsMwLFQINg4q5KwA3v4uO8W/Ty/ya8unP9zI32NCGiym64njLa2s7USqoLkSzaOjFEUK8U719WgjxC0KIdwghckKIrwshflkI8W4hxNpyw9pMf8TDU6V+OSvzasdXpSdpBHrJlmuG95n3dstc+Fxm9WIuiknywknQb1BfpN0F3g4GbNJn3ljlaC4hBNlCEXc9a0wxB7jtV0BR+EXbt9eU0dLsZe4NGK/97XJq3k5CjUUqtdXXQ1SK6kXOtMyvbwYiHg6WpO/1ql0t6QnKXpkba3SfecDnp4yd0hp85pZSkrQRm2wtJ9RPZ2OeSq3BXLa8qqfmyjU89ZzMwzeqmAf7ULa/hgdsT6wpY6ecl2Lu9BjbMrcGeuggxWRydauPcq2+NKXI9Jlf38iGW700LI6rE/N6DbLT50v5IwZ3swAUFS+1QmrVz7OVU+Qtxs2CACDYR6gqUyhX62pJ5qtLpfxGFXOA/tuIkyA9v/psj4rqglCcBl1dqbijvdiVOlNTq2uFmypUCSnq/FajFrfphCnmFzEQ8VDDRtHTc75H+RXJzYCok7JL94UR539eTMXmQ6whz9xZTVOwGjtwRrAfV2EK/m975x4k11Xf+c/p1/Rzpmf6MTMazUMjjZ6WZEu215gyYJw4YTcbwC5MlmwqZJdHyCZ2ktoKy24WUoGQVG2KhA27LNhsLYkpXGWKShHjJBgbDHEgxNjGMpaMNDN6ax7dPa++/bj9OPvHuT0azat7wljdp3U+VSqpb9+RfqM7/b2/+z2/3+8gtzzXPJOz6WnF7s/V9B8FIDT36pa/tFy77i1etteVHAJgbmprjUMZy6ZXOIlK55qCurbGiPkqats5LXgSsNRAadSCyo7SHrWw2OpNQwAVXyee0hLlLY5R9ZcXsX2t/XhO9wiucoEdIrPlvTIzVrE157Kspu8wADsLp8nZ5S19abW2N2YLd4ACdCZUZVI2tbXMfM6y6RUZpHBBqIV2iroOGDFfRVfAS1fAy4zogUbqXBdUl9o06sPf6gugACLQSZgcl+cL9U9eQbi6SNnX2gtnJA8A8K/Cs1u2WdJZWw+bJRDFCg1yyDXJhcwWR+EWa2V7rZ2Zu5ys2p7fmpWUydn0MkclkAC3dk3oPxVGzNdhqCfIxUpUZeb1yhOd7s9LVdVkokNm7g1G6SS3JbGT1SqdMku11X3IhBLz44GpLY+JzVgrbZYWbBpaQSlxmEPi3JatJGFnKQuv2iS6lQn3UkXgauTpeAVzlk2fmENG+l6nwFoXI+brMNQTZKLQBdUS5OqU8GWnwRdmqugj4vfg87T+f6k/0k1E5Di3hTrlfHYej6i2dsYKagZ5KMl+98V/gc1iE3dnkd4QtPguNR2DNzPimubKzHTDX1OuVPFWcpRaeJb5Mh4fcx0DJPMTWxpbkLZsesUc7q4dr2NwrUnrK08TGOwJ8lrOeQxdrPOYZ6UgGCOVLRJvwQ1y1yMY6SFCbkulbQsZtQm0J9TiNgtA8gCD5XOksjZWsXFPOZW16fM4Q7ZaHP/QMQAqlxqfITSXKxEkT1mTZprFrv3slWfJWI2PLZizbPpcc8s2zY2EEfN1WLZZoP4iaC4FoTjprE1MA78cQPi7CIkiF9ONV7Rka0O2wq1tPwCQPEAsN4mguiUrKWMVSbhbdC7LKoRT0eJPvdLw16StImEKyBbemGIlleRhRlzTXJxq/OljMWupefQRk5kbUGI+JZ0P9GKdXcKtFATjym/VRMzxq4qUVKrxdumsM9Mj2Nn6QkfyAJ5KjgGR2qKY14ZstX5mTjjJvDtOPNv4qOZ01iZEa88yX0lg6GYAFs++2PgX1ZIv45kbQIl5ii6quOpn5lYKQgnSVpGYJjYLHUrMF+bTDfuRucUMAJ1RDYTOWQTdK7bmm6eyNl2yReeyrEMqsp+R0hkqDY4tSGWLhEUBl1+PzLxn960AVC83biW5LSeLNzaLAaA/6geXB8sX3zwzlxJyKWQwRsbSx2bBrxp/3PYSc7nGdlQqZlUjRpcOYp7cD8AR3+UtzS/JWDaRyrw2Yl6O7mKAWa4sNFaeqDLzAt5Ai/cKOAR6BsjQSSDTeHOUP++IecSIuQHwul3siPpJu2Kbi3lxCSo2eW83VQmxsC5irj7MncJquLStZCkxD0RavDQR1M2qcydHfFcatllydplKqUBHNaeNmAe74oREkQuzjW0BmLaKhEUeb4vPZVlGCM779pDIvtbQ6VJKgkVntLMRc0ONkViIK9Xo5jZLTnnOiy6V6epms0S2UGtecdrAhb/F2/lrJPczJi40bLOkszZRnJkeGiyAAkScufJT043N/c5YNmFR0MYzB8hE9jFQPgfl+hUtObtCTKYpu3wQ0KDqapsxYr4Bw7EgZ+2uzbtALVWDPi+UOOpjs9TEPN9weaIsLFCkA9ytP3sGgOQB+u3zXJ6zGvKU1eKnBt2fK+hyxDyVmmno/NRSkSCFlu/+XEkhdggfZezp+gu9GafGvOBPttb+rdcJI+YbMBILcb4UheICFLPrn+Rk5qmqI+ba2CzKKhkIlBruknQVl8i79ahPBiB5CI+0GaheYmqx/tiCjKVJK/8KXEGVfS6kGxNza2kBN9Xlm7kOeAeOADA/8Xzdc+dyqvuzFOx9vcNqSYyYb8BwLMSVWnniRlaLpcR8pqpETpvSROcxeyBgN5yZu0tZSjqJ+Y5bADgqxhv6HlPZonY2S+2mnF1obAvAorPuUbPZdKB78CB56aN4sf446oxlk2QOeQP65WDEfENGYkGmcXy3jRZBncz8kq0eW3WYZQ4oq8QbpK+j2JBnXq1KOipZyl59vFbiY1S9IY66xhvyzVVm7oi5Ln6rE2dhKdPQ6aWcs1CqUWY+FI9wSg7RMV2/1jy9VKRPzOHuvPEahsCI+YYM9gSZpoHM3BtkpuAmGvS29g48q+noJO4pMrVYoFDafIe/hXyJMDmqGi2c4XLDjls46ppoaAZNxrKJuZzztBFzlZn7SovM5zZfICyUKnhsp+O3Q5NFbCAR6eA78haS8z9aHmq3EfPzaYKiiD+28zpF11popD7XF7/XDWHncW2jzNzp/kxbRX0WP2v4u4i6VX1yvcw1bRWJkENo9HgO4Bo4xkHXOS6n6pfupbI2fb48eAItP2RrGaeyqAurbj192rKJCKceXaPMXAjBC133qBevfHXTcwtpJfYd3QOvd1gtiRHzTeiNx7BEaOPMPJeCUIxU1tanLLGGv5MISgDqWS2prE1Y5HEH9cnoABg4jo8yrtn6TScZq0jCk9MnKwdwe6l6Q0SFVfcaprNFOqltTKGPmAN4E2Occo/Bicc3Pa9SqzwznrlhNSPxIFdkDOYvrH/Cirks2mXmHZ0Eq+rDXS+rS2WLRMjj1U7M1WTB7vkTdccWLNssOok5QCBKVyNifk1mrtd1HE2E+Kp9B0y9DKnTG57XveDctHtGr1NkrYUR800YjoU4Xemlkj6z/gm5tDMxsahPWWKNzh2458bp6ag/WTCzlCci8vjDmgld1yB5Xw/7K6eZXSpuemqq1jSkSyWLgyvQQ8KTr9vJm87ay09iOtksAKPxEH9dugOJgBNf2fC8W3LPcb5j7w05lwWMmG/KSCzIpOxHzJ2Fyjpzsa0U1UCM+XyJnpBmNstN9yOKizwQ/lFdMV9cUCVt/rAGrfwrEYJ8/CiHxQRnZjboFXDIWDYRmV1eVNSGQJSEJ9+QzRIROaRwg1eDzSlWMJoIM0M388nb4dTX1z1HLl7hYOUnTMTfcn2DayGMmG/CcCzEpOzDVS3Bwvlr37QtKOfJeaNICXHdMvNdb4auQX6x+q26WV3WmZjoCuj1eA7g791Nv0hzZnZjMc/ZZfKlCqHqon42i7+LbpdVt5Y+bdlEXXmVlWvWHbkrrvobLnXsgcy4GnC3ivyPv45LSFIDP3u9w2sZjJhvwnAsyGTVmYucHr/2TadhaMntzGXRLTN3ueDm93Ag/0PszAXKlY33Oi1m1Sxz3RbOQE3e6xR5zl7ZeHZ7OmsDEn95AQJ62SwEokRklit1SkxT2SJxT1G7iiRQiVLE7+F8JQalHOTW1tXLk09wttqLt/9gEyJsDYyYb0LQ52EpNKJebCDm86jHcm26P1dy83sQSN7Os5u29du1zkHNvFYAEVat3empDRaxURZLgCLuaknDzDxKoLKElDC+ydNHOmvT487reQ2FYDQe4lTRuTbz5649obBI4OJzfKN6K8lOTcpKXweMmNehO9GvyhNXL4I63Z+zUjXSaGezAHSPsNT/Bt7p/odNPeXlzkENszocMV9Kb7yXa8ayiaJZw1CNQDfuSgEfpU2vYdoq0uXKa9UwtJLRRJiXF52mtYUVN2Yp4fufxVW1+UblOMlOzZ6QtxEj5nUY6+1kotqHXC3mtbksZaeVX8fMHPAd+Hl2u65w8eLGmass1DoHNRTziBJzX36WhQ024phZKlwdsqWdmKsnw25XbnMxr1WzaFaWWGM0HuLFJefnr1YqXMrDX38Ivv1JJuN384LcS2+nv3lBNhkj5nXY2xvmTLWPyur6Viczv1gK4hIQ1WUuyyo6htTWXJWLP1z3/UKpgq/siISGj+i1zDwh5jkzu7TuKeczOXpqrfyalSbWhm0djJY5Pb2+mEspSVs2QWnpeQ2BXYkQC4SoeMMw7xQjfP9/w4++DG/5CH819An8Pi/hDk9zA20iRszrMNYbYbLaj3vxksoEalgpcHcwMS8Y6A7gdulVIbBM/1GqCEKp9afSpbJFwjjft06zWWoEY0jhJinmNxS785k8u0JO1q5pZn4gWuX0zPo3q8VCGbtcJVC19Hy6AkbjYUBgBfqv2iwXn4f4PnjLf2E6a9/QWTkYMa/L3t4Ik7IPgYTM5NU30mega4BzmRwjMY1Gw66mI0LKP8JA7hTVdTZxSGdtIiJHVcP6ZEAN3Aol6HMtbGhDnM/kGAk6TUXaibmKd09nmXPpHHZ5bVXShUwOQRVfWd/MfCSufvbSnt6rNsvUCeg7DMDsYpFE5Mb1y8GIeV16Qj4ygSH1ouabV0ow+V3Y9WbOpnMMxzQUuRVkY4c5xBkuza2taLmykCdCjqovol19cg0R6WXYt8TpDcT8QibHgN/ZwEI3MXdsluFgiXJVrtszMJGyCFFAUNU2Mw/6POzo8nNRJpTNksuoDN0R85mlgsnMmx2ADvgSY+oPNTG/8AOwl7AG38RCvqR3Zg64dx4nIRa5cG7t3IszM1kiIq9lw9Ay4V763YvrZuZLhRIZy6bPm9NrYmIN5+bT36FuRuvdsM6mLCLoNzFxNaOJMOPFbrX717nn1MG+w0gpmV4skjSZuaEeQ/1JZmT31YqW8WdAuJmIqMXDoR69M/PusTsAyE3805r3xmctEt4iLk0zOgDCSbplhkvzeazitWMZLmSUyMVcmk1MrOFUpyTcOYRg3RvWZMpid8T5vjW+jvv6Iry05KzbnHpS/d53mGxRdfD23sBliWDEvCHGeiOcrA5SPf00FJdg/GnYeRsTS24ARuJ6Z+adI7dQwoNn6qU1743PZol7i1pndIT7CJbmcFFlYvZaG6I206STrJ5i7nJDRyfe0iI7uwPrZuaTKYuxqLMeomlpIsCRnV1Mlp39WX/ydxDug3CS6UW13pGMGJvFUIexZJg/L9+P25qCv/0wXH4J9tyzPDpW98wcTwfnvbuILfz4msNSSsZnsmqmh8YZHeFeXLJCD0tryhNrG3OEKgv6lSXWCEQhP89YMsLp6bUVLZMpi5Gw0+qvtZhHuSQT6kU+c41fDhibpdkB6MDe3ggvyjFO9r8TXvoSIGH3Wzmbtujv8qtdiTQn1XmIXaWfIFdMh5xaLGDZFVWaqGNZYg2ncajPvbCmPPF8Jken34OnuKDfxMQa/igU5hlLhplIWVRWVCXNWTYL+RKDQaf0UuOb8kgsSNHfQ0k4PR21ShZnvHHSLIAa6tEd8hEPd/BY539Qg5gC3bDjFs61QSVLjcrQGwmT5+Ir/7B8bHxGWRL+qr4lbcBy49BNXYU1nvL5TI6hWBDyc3raLOBk5nPs749gl6ucmlpcfmvSqW7Z4XfEXOPrKITgyM4oUyKpDjhifmYmi9sl2BE1Yt4wQojDQogvO7/uFULcKYT4ovMrKoS4TwjxeSHEI0KItmrFOtAf4R+vSHj3o/COz4LLzbm05jXmKxg6/q+pSEHm5SeXj6nBTRJPaUnrjK4m5gdCuTWe8oVMjqHugN5i7lc2yx2jyk/+3nh6+a1JZ40g4XVKL3W+jiir5WzZscP6jgDwg8kMh3Z0EvS1leRsma1m5t3Ah4DfAN4OfAD4IPAF4N3AA1LKDwDfAe7Zxjibzl1jcU7PZLkcPQb73ka2WCaVLTLcJmI+MDDASdcYnRefXT42Ppsl0VFFVMtaZ3Q1Md8fyTOZsrg0rypYKlXJxbk8o1EXVIr6jb+tEVA2S39XgNF46BoxP5u2cLuEWvdwefQrvVzFkYEuJqq9VHyd0LOLYrnCSxfmuXVY02u3jdQVcyHEbwshnhBCPAHcBWSBjwOfAdxSygJwBegHapOMaq9X/10fEEI8L4R4fnZ2dru+h+vC3fvUo923X1Nx15oz2sVmEUJwKf5GhouvUc2quTPjs1kOxp1GIZ09c18QOjrZF1aLnU+fnAZgerGAXamyO6xpK3+NQLd6sqhWuWN3jH+azCzPp59IWQx2B3DbztOVpo1fNY4MRvl0+X6ePP4IuNy8cmmBYrnK7bs0vXbbSF0xl1L+uZTyF6SUvwB8CvifwOeklCeBnBCiAyXcU0BtOn7t9eq/6/NSylullLcmEolt+yauB3uSYQaiAb792gxwdRPkdhFzAN/+e3EhufyCslrOzGTZXytp03R06jLhJNFKhtF4iKdeVWJeK0sc1rWVv0bfEajYMPksd+6OkS2WOXFJjS0+m7JU6WxxUetKlho7uvy4wnGeXVSbxvxgUm2ccuuIycy3arN8BLgJ+LAQ4kPA54HPoayWR4HHhRAPA28CntrOQJuNEII370vw3JkUdrnK2eXMvD1sFoD9x95ERobJv/p3LBVKTC8WGetyZn3obLOAslqWpvmZg718fyLNUqG0XMa3w+me1LY08cC/hWAMnv/CVd98Io2UksmUpbZdKyzqfw1Rn8PDA128cH4OKSXPn80wmggRD9/YZYmwRTGXUn5USvkmKeW/l1J+Vkr5Qynle6WUvyylzEopvy6lfL+U8n1Syo33sNKUt+xNYNkV/v7HU3z1hUsMRANtNXKzvzvMi95j9M48x8nLKrPbFbLVm7pndeFeyE5zz/4kpYrkKz+8yJ998zT7+yIkcXZS0jUz93TAzb8Mp54kXk2zvy/Cd3+S4rF/vkDOrigxLy5qv/hZ4+cO9TExa/H//vEsz5+b43aTlQOmNHFL3LknjtcteOixF7k4l+NP33W02SFtOwu9d9BZnef3Hv4aALuEspXoHmleUNuBI+bHh7uJBr384ROvkrcrfOY9x3C9+JcQ6YfYWLOj/Jdz66+BrMALf8kbdsf43kSaj3z1BIcHunjbTf1QWND/huzw7tsGuXtfgo8/8SoL+RK3GTEHjJhviXCHhzfsjuPzuPi/772NN+yONTukbefQ0dsAePAWwd8+dBc9xYvgCy9XhGhLpBfsLJ5yjrv3JZESPvGOm9iTPwFnvwt3PggePTcYAaBnFHbfA//8CB/0P82/Gy3wuV85ztd+841qNGyhfTJzIQT/411H6XE2Ub99lxFzgPbxCK4Tn3rgKHm7wqDuLfwbsO/QMXgS7hvMQ38nPDMOPbu0r4JYvhlZM/zOz+zlrrE49x3bCY8+BME4HP/V5sa3Hdz9X+Hx99L33H/njxGQ/m/Af1bvFdvDM68RD3fwuV85xlOvzrCzW+9yy+3CiPkWafuFlmBMPY6nnXG46fHlTjutqYn50jRDw6Oq6/PSC3Dmm3DPx8DXBgvZO2+F3z6h5n0/83F45hNw5WW4/f1qQFybZOY1jg/3cNzUly9jxNxwLUIo7zh1GiplmD8Hh97R7Kh+empinp2+euzpP1SLnre9rzkxvR4IAd3DcN/D0H8UnvoonFTrHwTbzxY0XMWIuWEt8TGYeFYJebUMPbubHdFPz2oxP/M0THwLfu6TbWU/LCME3PlbcPgBmD0JC5dg/79pdlSG1xEj5oa1xPaoXc+nXlave0abG892EIyBcCsxr1bhmx+D6FB7ZeXrEeldnhppaG+MmBvWEtujfj/t9H3F2iAzd7kgnISlaXjpUbUZ8H2PqBptg6ENMGJuWEvcqbc+/Q3wRSCk1+iFDQn3wvnvwStfgeE3wk33Nzsig2HbMHXmhrX0jAICrFmIjepfllgj3AuZcXVzetcXVbZuMLQJ5qfZsBZvAKKD6s/tsPhZo3sYPAH4pS9BuE2eNgwGByPmhvWp+ebt4JfXeOvvw298T5XsGQxthhFzw/rU5pS0U2bu71LdrAZDG2LE3LA+tUXQdsrMDYY2xlSzGNbn4NtVW/iOW5odicFgaAAj5ob1CSfh3o83OwqDwdAgxmYxGAyGNsCIucFgMLQBRswNBoOhDTBibjAYDG2AEXODwWBoA4yYGwwGQxtgxNxgMBjaACPmBoPB0AYIKWVz/mEhZoFzTfnHIQ6kmvRvN4oOMYIeceoQI+gRpw4xQnvHOSylXDP2s2li3kyEEM9LKW9tdhyboUOMoEecOsQIesSpQ4xwY8ZpbBaDwWBoA4yYGwwGQxtwo4r555sdQAPoECPoEacOMYIeceoQI9yAcd6QnrnBYDC0GzdqZm4wGAxthRFzg8FgaAPaenMKIcQ9wK8CQeAEMIC6gf068EHgAGBLKX+3aUECQogk8CTwSeDnac0YDwIPARVgCthJa8Z5G/BrQCfwIrCPFotTCPFW4D2oa77h9RZC/AHQDcxIKf+oSTF+C3grEAUeBN7RKjGujFNK+T4hxAHg01LKe4UQ/6kV4wT+CngAcAN/ANy/XXG2e2YeRIn5HwEflVJ+APgOcA9wl5TyN4F5IcS+ZgUohBDA76EaqB5oxRgdPgRcRv0QHmlm226AAAAB30lEQVThOI8DB1E3m7e1WpxCiD3AMcDP5tf7KDAkpXwIGBRChJsU45KU8j8CjwJ3tkqMq+MUQnQA7wdmnbdbMk6UHi0COWBmO+NsazGXUv4NStAfBL7hHL4C9AOlVa+bxa8DXwLyrI2pVWIEGAb+AngceLNzrBXjfAG4F/gTlEBCC8UppTwjpfxT5+Vm1/sm1IcdII3qFLzuMUopvyaESADvBJ5olRhXxwl8GPgUUKvoaNU4R4CPAa+insq2Lc62FnMhRAz4NPBRYNo53I+yCaqrXjeLn0U9Xt8O3Occa7UYQf2QWUAGEM6xVozzd1HxzAJLzrFWjBOUZQXrx3cC6HFeJ2hSa7oQYhfqyfZBKWWeFowRlbDdAfw+cLtjabRinACXpJQ26nPkYhvjbGvPHPgz1H/KHwNPCSEeRgnRB4EBIcT/AgpSylPNClBKeR+AEOJR4MutGKPD/wEeRmUSD7VwnI+hfEkb+K0WjhPg8U3ie1kIMSmE+AtgQkqZbVKMX0TdyD8jhHgE+E4Lxphb+TmSUj4jhNjVgnECPCaE+ALq5/N3gN7titPUmRsMBkMb0NY2i8FgMNwoGDE3GAyGNsCIucFgMLQBRswNBoOhDTBibjAYDG2AEXODwWBoA/4/infsuiVjO80AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import theano.tensor as tt\n", "from maelstrom.orbit import Orbit\n", "\n", "with pm.Model() as subdivide_model:\n", " logP = pm.Normal(\"logP\", mu=np.log(272), sd=1.0, testval=np.log(272))\n", " period = pm.Deterministic(\"period\", pm.math.exp(logP))\n", " \n", " # The time of conjunction\n", " phi = xo.distributions.Angle(\"phi\", testval=0.5691498)\n", " logs_lc = pm.Normal('logs_lc', mu=np.log(np.std(flux)), sd=10, testval=0.)\n", " logasini = pm.Normal('logasini', mu=np.log(184), sd=10, testval=np.log(184))\n", " asini = pm.Normal(\"asini\", mu=184, sd=10, testval=184)\n", " drift = pm.Normal('drift', mu=0., sd=0.1, testval=0)\n", " # Periastron sampled from uniform angle\n", " omega = xo.distributions.Angle(\"omega\", testval=-0.94)\n", " # Eccentricity\n", " eccen = pm.Uniform(\"eccen\", lower=0, upper=0.9, testval=0.45)\n", " # The baseline flux\n", " mean = pm.Normal(\"mean\", mu=0.0, sd=10.0, testval=0.003)\n", " \n", " # Here, we generate an Orbit instance and pass in our priors. \n", " orbit = Orbit(period=period, \n", " lighttime=asini, \n", " omega=omega, \n", " eccen=eccen, \n", " phi=phi, \n", " freq=0)\n", " \n", " # psi is defined to be negative but the light curve model takes 2*pi*f * (time - tau), so \n", " # we must flip tau here to phase it on the same values\n", " td = -1*tt.squeeze(orbit.get_time_delay(td_time) * 86400) # Convert to s\n", " td += drift * td_time\n", " taumodel = pm.Deterministic('taumodel', td - tt.mean(td))\n", " \n", " pm.Normal('obs', mu=taumodel, sd=tt.exp(logs_lc), observed=td_td)\n", " \n", " plt.plot(td_time, xo.eval_in_model(taumodel))\n", " plt.plot(td_time, td_td)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "optimizing logp for variables: [mean, eccen, omega, drift, asini, logasini, logs_lc, phi, logP]\n", "232it [00:00, 388.50it/s, logp=-6.434439e+02]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -48164.10895929657 -> -643.4438767879074\n" ] } ], "source": [ "with subdivide_model:\n", " opt = xo.optimize()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'logP': array(5.60714099),\n", " 'phi_angle__': array([2.10553359, 3.94546931]),\n", " 'logs_lc': array(3.23034851),\n", " 'logasini': array(5.21493576),\n", " 'asini': array(184.58303002),\n", " 'drift': array(-0.01031364),\n", " 'omega_angle__': array([-3.79526569, 2.36557775]),\n", " 'eccen_interval__': array(0.0158198),\n", " 'mean': array(2.38628165e-07),\n", " 'period': array(272.36443175),\n", " 'phi': array(0.49021052),\n", " 'omega': array(-1.01342257),\n", " 'eccen': array(0.45355938),\n", " 'taumodel': array([ 147.24755677, 144.46279379, 137.15584656, 125.61074901,\n", " 110.08619756, 90.85808226, 62.69573976, 35.92242968,\n", " 6.16179366, -25.77210035, -61.20875403, -97.26770722,\n", " -133.55915693, -167.94415079, -196.48908661, -212.07208628,\n", " -204.22591848, -167.13862369, -111.34753077, -53.28526181,\n", " -1.56577971, 41.49527278, 75.96300517, 102.54463349,\n", " 122.02595761, 134.79244776, 142.52189448, 144.40171533,\n", " 141.41386885, 133.9053782 , 122.17152656, 106.46937425,\n", " 87.03086449, 64.07648983, 37.83212893, 8.5522055 ,\n", " -23.44470622, -56.74672629, -94.1095346 , -130.47892897,\n", " -165.38531826, -195.27272446, -213.63731661, -210.33485485,\n", " -177.76442939, -123.79942529, -65.27885537, -12.25517374,\n", " 32.25028096, 68.08145115, 95.89737386, 116.48778226,\n", " 130.57730867, 138.78373744, 141.62228714, 139.52131553,\n", " 132.83928074, 121.88014738, 106.9072041 , 93.48648159,\n", " 38.86932568, 9.99699737, -21.6422789 , -55.62855469,\n", " -91.3309334 , -127.72471045, -157.73499242, -201.78592504,\n", " -217.61085319, -210.10090373, -173.31551175, -117.63083725,\n", " -59.52529427, -7.71124515, 35.45054894, 70.01170032,\n", " 96.67673285, 116.23221037, 129.38740902, 136.74378113,\n", " 138.80229311, 135.97967069, 128.62521857, 117.03595615,\n", " 101.47025416, 82.16074252, 59.3282232 , 33.19799679,\n", " 4.02286921, -27.88169157, -62.07929926, -97.90871668,\n", " -134.28830068, -169.33225322, -199.59372735, -218.45657152,\n", " -215.90536246, -183.26008555, -129.26301782, -70.74850342,\n", " -17.74513527, 26.7377276 , 62.54763125, 90.34424478,\n", " 110.91702108, 124.9902142 , 133.18124953, 136.00502609,\n", " 133.88970013, 127.19358306, 116.220579 , 101.2339773 ,\n", " 82.46944336, 60.14853638, 34.74478445, -15.19078264,\n", " -48.36442404, -83.52209997, -119.55480671, -158.37870309,\n", " -191.12755968, -215.79765013, -223.64201474, -204.42206369,\n", " -158.06227076, -99.77952969, -55.63572262, 9.83990558,\n", " 48.53315287, 78.95689021, 101.8923374 , 118.09469118,\n", " 127.77022901, 132.29913797, 127.0451233 , 117.43287614,\n", " 103.72528095, 86.16545296, 64.97782528, 41.42409475,\n", " 11.24080315, -19.54276931, -52.82662522, -73.31017402])}" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "opt" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [mean, eccen, omega, drift, asini, logasini, logs_lc, phi, logP]\n", "Sampling 2 chains: 100%|██████████| 8000/8000 [00:44<00:00, 181.50draws/s]\n", "There were 4 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 2 divergences after tuning. Increase `target_accept` or reparameterize.\n" ] } ], "source": [ "with subdivide_model:\n", " trace = pm.sample(draws=2000, tune=2000, chains=2, start=opt)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
logP5.6070950.0017360.0000275.6035615.6103163361.6528081.000854
logs_lc3.2542040.0597830.0009713.1423283.3700833278.8744731.000252
logasini5.15814710.3292900.160456-15.96771124.6183984166.2285930.999801
asini184.4459953.8702010.063553176.857801191.9486003506.0226220.999973
drift-0.0102480.0051620.000092-0.0199340.0001353809.7519470.999920
........................
taumodel__13941.3624125.3914370.09478830.91819951.6787083490.9616961.000202
taumodel__14011.1030505.6942540.0981050.32253022.3021913488.8776381.000171
taumodel__141-19.7527726.0193790.100769-32.273483-8.9369653567.4152161.000086
taumodel__142-53.1005966.3922020.103530-66.166348-41.5603023850.3408930.999968
taumodel__143-73.6116506.6297630.105464-87.166013-61.4742054059.8830540.999896
\n", "

154 rows × 7 columns

\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 \\\n", "logP 5.607095 0.001736 0.000027 5.603561 5.610316 \n", "logs_lc 3.254204 0.059783 0.000971 3.142328 3.370083 \n", "logasini 5.158147 10.329290 0.160456 -15.967711 24.618398 \n", "asini 184.445995 3.870201 0.063553 176.857801 191.948600 \n", "drift -0.010248 0.005162 0.000092 -0.019934 0.000135 \n", "... ... ... ... ... ... \n", "taumodel__139 41.362412 5.391437 0.094788 30.918199 51.678708 \n", "taumodel__140 11.103050 5.694254 0.098105 0.322530 22.302191 \n", "taumodel__141 -19.752772 6.019379 0.100769 -32.273483 -8.936965 \n", "taumodel__142 -53.100596 6.392202 0.103530 -66.166348 -41.560302 \n", "taumodel__143 -73.611650 6.629763 0.105464 -87.166013 -61.474205 \n", "\n", " n_eff Rhat \n", "logP 3361.652808 1.000854 \n", "logs_lc 3278.874473 1.000252 \n", "logasini 4166.228593 0.999801 \n", "asini 3506.022622 0.999973 \n", "drift 3809.751947 0.999920 \n", "... ... ... \n", "taumodel__139 3490.961696 1.000202 \n", "taumodel__140 3488.877638 1.000171 \n", "taumodel__141 3567.415216 1.000086 \n", "taumodel__142 3850.340893 0.999968 \n", "taumodel__143 4059.883054 0.999896 \n", "\n", "[154 rows x 7 columns]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "period : 272.35 + 0.47 - 0.46\n", "phi : 0.49 + 0.08 - 0.08\n", "eccen : 0.45 + 0.03 - 0.03\n", "asini : 184.37 + 3.89 - 3.72\n", "omega : -1.02 + 0.08 - 0.08\n", "phi : 0.49 + 0.08 - 0.08\n", "drift : -0.01 + 0.01 - 0.0\n" ] } ], "source": [ "varnames=['period', 'phi', 'eccen', 'asini', 'omega', 'phi', 'drift']\n", "rounding = 2\n", "for varname in varnames:\n", " upper, med, lower = np.percentile(trace[varname], [84.13, 50, 15.86])\n", " print(varname, ': ', np.round(med,rounding), ' + ', np.round(upper - med,rounding), ' - ', np.round(med - lower,rounding))" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mass_func : 0.091 + 0.006 - 0.005\n" ] } ], "source": [ "from maelstrom.utils import mass_function\n", "import astropy.units as u\n", "rounding = 3\n", "samples = pm.trace_to_dataframe(trace, varnames=['period', 'asini'])\n", "mfs = mass_function(samples['period'].values * u.day, samples['asini'].values*u.s)\n", "#mfs = np.array(mfs)\n", "upper, med, lower = np.percentile(mfs.value, [84.13, 50, 15.86])\n", "print('mass_func', ': ', np.round(med,rounding), ' + ', np.round(upper - med,rounding), ' - ', np.round(med - lower,rounding))" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(td_time % 272 / 272, np.median(trace['taumodel'], axis=0))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 4 }