{ "cells": [ { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "# Sample release for GW190521\n", "\n", "This notebook serves as a basic introduction to loading and viewing data released in association with the publications: \n", "__GW190521: A Binary Black Hole Merger with a Total Mass of 150 Msun__ avaliable\n", "through [PRL](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.125.101102), [arXiv](https://arxiv.org/abs/2009.01075), and [LIGO-P2000020](https://dcc.ligo.org/LIGO-P2000020/public). \n", "__Properties and astrophysical implications of the 150 Msun binary black hole merger GW190521__ avaliable\n", "through [ApjL](https://iopscience.iop.org/article/10.3847/2041-8213/aba493), [arXiv](https://arxiv.org/abs/2009.01190), and [LIGO-P2000021](https://dcc.ligo.org/LIGO-P2000021/public).\n", "\n", "The data used in this notebook must be downloaded from the public LIGO DCC page [LIGO-P2000158](https://dcc.ligo.org/P2000158/public)." ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "# Data release for GW190521\n", "In public DCC page [LIGO-P2000158](https://dcc.ligo.org/P2000158/public), you will find several data files:\n", "* `GW190521_posterior_samples.h5` - contains parameter estimation (PE) samples from many different runs:\n", " * NRSur7dq4 is our \"preferred\" waveform model (referred to as NRSur PHM in the papers). These samples contain the info for Table 1 and Figures 2, 3, 4, 5 of [LIGO-P2000020](https://dcc.ligo.org/LIGO-P2000020/public).\n", " * IMRPhenomPv3HM and SEOBNRv4PHM are alternative waveform models for comparison. Those samples, along with those from NRSur7dq4, contain the info for Table 1 and Figures 1, 2, 3, 4, 5, 6, 8, 9 of [LIGO-P2000021](https://dcc.ligo.org/LIGO-P2000021/public).\n", "* `GW190521_studies_posterior_samples.h5` - contains parameter estimation (PE) samples from runs used for specialized studies; these should not be used in preference to the previous runs for most applications.\n", " * The three sets of PE samples for NRSur7dq4_Lmax2, Lmax3, and Lmax4 are used for Figure 7 of [LIGO-P2000021](https://dcc.ligo.org/LIGO-P2000021/public). \n", " * The set of PE samples directly using NR is used for Figure 8 of [LIGO-P2000021](https://dcc.ligo.org/LIGO-P2000021/public), and nowhere else in either paper. It has `luminosity_distance` set to 1 Mpc and redshift close to 0 for all samples, and hence all masses labeled `_source` are not actually corrected for redshift. The radiated energy also does not have the redshift correction. The remnant BH properties and peak luminosity are not computed using spin evolution and are thus slightly less accurate than for other runs.\n", " * The set of PE samples for NRSur7dq4_nospin and NRSur7dq4_spinaligned are used for computing Bayes Factors for spin and for higher multipoles, and for the hierarchical analysis described in Section 5.2.1 and Figures 11 and 12 of [LIGO-P2000021](https://dcc.ligo.org/LIGO-P2000021/public). \n", "* `GW190521_Ringdown_samples.tgz` is a tarball containing nine more h5 files with posterior samples for the ringdown analysis described in Section 3.2 and Figure 9 of [LIGO-P2000021](https://dcc.ligo.org/LIGO-P2000021/public).\n", "* `GW190521_Implications_figure_data.tgz` is a tarball containing additional data needed to make Figures 5, 10, 11, 12, and 13 in [LIGO-P2000021](https://dcc.ligo.org/LIGO-P2000021/public), including skymaps fits files.\n", "* `GW190521_discovery_Fig1.tgz` is a tarball containing additional data needed to make Figure 1 in [LIGO-P2000020](https://dcc.ligo.org/LIGO-P2000020/public).\n", "* `GW190521_discovery_figs_pdf.tgz` - tarball containing all the figures from the GW190521 discovery paper [LIGO-P2000020](https://dcc.ligo.org/LIGO-P2000020/public), in pdf.\n", "* `GW190521_Implications_Figures_pdf.tgz` - tarball containing all the figures in the GW190521 implications paper [LIGO-P2000021](https://dcc.ligo.org/LIGO-P2000021/public), in pdf.\n", "* `GW190521_md5sums.txt` - containing md5sums for each of the h5 files." ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "In this notebook we will primarily use the data in the file `GW190521_posterior_samples.h5` .\n", "\n", "The data file can be read in using the `PESummary` or `h5py` libraries. For this notebook we'll start with simple stuff using h5py. Then we'll use `PESummary v0.7.0` to read the data files as well as for plotting. For general instructions on how to manipulate the data file and/or read this data file with `h5py`, see the [PESummary docs](https://lscsoft.docs.ligo.org/pesummary/data/reading_the_metafile.html)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "# import useful python packages\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import h5py" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "Some simple stuff with \"vanilla\" h5py" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "Collapsed": "false" }, "outputs": [], "source": [ "# read in the data\n", "fn = \"GW190521_posterior_samples.h5\"\n", "data = h5py.File(fn,'r')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "Collapsed": "false" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Contents of GW190521_posterior_samples.h5 :\n", "IMRPhenomPv3HM approximant b'IMRPhenomPv3HM'\n", "IMRPhenomPv3HM calibration_envelope \n", "IMRPhenomPv3HM config_file \n", "IMRPhenomPv3HM injection_data \n", "IMRPhenomPv3HM meta_data \n", "IMRPhenomPv3HM posterior_samples (49263,)\n", "IMRPhenomPv3HM priors \n", "IMRPhenomPv3HM psds \n", "IMRPhenomPv3HM skymap \n", "IMRPhenomPv3HM version b'3.0'\n", "NRSur7dq4 approximant b'NRSur7dq4'\n", "NRSur7dq4 calibration_envelope \n", "NRSur7dq4 config_file \n", "NRSur7dq4 injection_data \n", "NRSur7dq4 meta_data \n", "NRSur7dq4 posterior_samples (65723,)\n", "NRSur7dq4 priors \n", "NRSur7dq4 psds \n", "NRSur7dq4 version b'3.0'\n", "SEOBNRv4PHM approximant b'SEOBNRv4PHM'\n", "SEOBNRv4PHM calibration_envelope \n", "SEOBNRv4PHM config_file \n", "SEOBNRv4PHM injection_data \n", "SEOBNRv4PHM meta_data \n", "SEOBNRv4PHM posterior_samples (19822,)\n", "SEOBNRv4PHM priors \n", "SEOBNRv4PHM psds \n", "SEOBNRv4PHM version b'No version information found'\n", "history command_line b'Generated by running the following script: summarycombine --webdir /home/alan.weinstein/public_html/O3/PE/GW190521/combined --samples /home/alan.weinstein/public_html/O3/PE/GW190521/NRSur7dq4_combined/modified_posterior_samples.h5 /home/alan.weinstein/projects/GW190521/BWPSD-rerun/PhenomPv3HM_combined/modified_posterior_samples.h5 /home/charlie.hoy/public_html/public_release/S190521g/v2/SEOBNRv4PHM_combined/modified_posterior_samples.h5 --gw --no_conversion'\n", "history creator b'alan.weinstein'\n", "history gps_creation_time 1280850188.790526\n", "history program b'summarycombine'\n", "version environment b'/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37-20200806'\n", "version packages (489,)\n", "version pesummary b'0.7.0'\n" ] } ], "source": [ "# browse the entire file\n", "print('Contents of',fn,':')\n", "for k1 in data.keys():\n", " for k2 in data[k1].keys():\n", " try:\n", " if (data[k1][k2].size == 1):\n", " print(k1,k2,data[k1][k2][0])\n", " else:\n", " print(k1,k2,data[k1][k2].shape)\n", " except:\n", " try:\n", " print(k1,k2,data[k1][k2].keys())\n", " except:\n", " try:\n", " print(k1,k2,data[k1][k2])\n", " except:\n", " print(k1,k2,'No data')\n", " " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "Collapsed": "false" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n", "Top-level data structures: \n", " \n", "Data products for preferred waveform model, NRSur7dq4 : \n", "parameter names: dict_keys(['H1_matched_filter_abs_snr', 'H1_matched_filter_snr_angle', 'H1_optimal_snr', 'H1_spcal_amp_0', 'H1_spcal_amp_1', 'H1_spcal_amp_2', 'H1_spcal_amp_3', 'H1_spcal_amp_4', 'H1_spcal_amp_5', 'H1_spcal_amp_6', 'H1_spcal_amp_7', 'H1_spcal_amp_8', 'H1_spcal_amp_9', 'H1_spcal_phase_0', 'H1_spcal_phase_1', 'H1_spcal_phase_2', 'H1_spcal_phase_3', 'H1_spcal_phase_4', 'H1_spcal_phase_5', 'H1_spcal_phase_6', 'H1_spcal_phase_7', 'H1_spcal_phase_8', 'H1_spcal_phase_9', 'L1_matched_filter_abs_snr', 'L1_matched_filter_snr_angle', 'L1_optimal_snr', 'L1_spcal_amp_0', 'L1_spcal_amp_1', 'L1_spcal_amp_2', 'L1_spcal_amp_3', 'L1_spcal_amp_4', 'L1_spcal_amp_5', 'L1_spcal_amp_6', 'L1_spcal_amp_7', 'L1_spcal_amp_8', 'L1_spcal_amp_9', 'L1_spcal_phase_0', 'L1_spcal_phase_1', 'L1_spcal_phase_2', 'L1_spcal_phase_3', 'L1_spcal_phase_4', 'L1_spcal_phase_5', 'L1_spcal_phase_6', 'L1_spcal_phase_7', 'L1_spcal_phase_8', 'L1_spcal_phase_9', 'V1_matched_filter_abs_snr', 'V1_matched_filter_snr_angle', 'V1_optimal_snr', 'V1_spcal_amp_0', 'V1_spcal_amp_1', 'V1_spcal_amp_2', 'V1_spcal_amp_3', 'V1_spcal_amp_4', 'V1_spcal_amp_5', 'V1_spcal_amp_6', 'V1_spcal_amp_7', 'V1_spcal_amp_8', 'V1_spcal_amp_9', 'V1_spcal_phase_0', 'V1_spcal_phase_1', 'V1_spcal_phase_2', 'V1_spcal_phase_3', 'V1_spcal_phase_4', 'V1_spcal_phase_5', 'V1_spcal_phase_6', 'V1_spcal_phase_7', 'V1_spcal_phase_8', 'V1_spcal_phase_9', 'azimuth', 'cosalpha', 'cos_theta_jn', 'deltalogL', 'deltaloglH1', 'deltaloglL1', 'deltaloglV1', 'log_likelihood', 'log_prior', 'logw', 'network_matched_filter_snr', 'network_optimal_snr', 'phase', 'phi_12', 'phi_jl', 'mass_ratio', 't0', 'geocent_time', 'ra', 'dec', 'luminosity_distance', 'psi', 'chirp_mass', 'a_1', 'a_2', 'tilt_1', 'tilt_2', 'theta_jn', 'inverted_mass_ratio', 'mass_1', 'mass_2', 'total_mass', 'symmetric_mass_ratio', 'iota', 'spin_1x', 'spin_1y', 'spin_1z', 'spin_2x', 'spin_2y', 'spin_2z', 'phi_1', 'phi_2', 'chi_eff', 'chi_p', 'final_mass', 'final_spin', 'final_kick', 'cos_tilt_1', 'cos_tilt_2', 'redshift', 'comoving_distance', 'mass_1_source', 'mass_2_source', 'total_mass_source', 'chirp_mass_source', 'final_mass_source', 'radiated_energy', 'H1_time', 'L1_time', 'V1_time', 'H1_matched_filter_snr', 'L1_matched_filter_snr', 'V1_matched_filter_snr', 'cos_iota', 'peak_luminosity'])\n" ] } ], "source": [ "# print out top-level data structures: waveform models\n", "print(' ')\n", "print('Top-level data structures:',data.keys())\n", "\n", "# extract posterior samples for preferred waveform model\n", "waveform = 'NRSur7dq4'\n", "print(' ')\n", "print('Data products for preferred waveform model,',waveform,':',data[waveform].keys())\n", "\n", "# parameter names:\n", "posterior_samples = data[waveform]['posterior_samples']\n", "pnames = posterior_samples.dtype.fields.keys()\n", "print('parameter names:',pnames)\n", "\n", "# extract the samples data into an numpy array:\n", "samples = np.array(posterior_samples).T" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "Collapsed": "false" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dL shape, mean, std = (65723,) 5265.994269405796 1464.1349618502252\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# get samples for one of the parameters\n", "dL = samples['luminosity_distance']\n", "print('dL shape, mean, std =',dL.shape,dL.mean(),dL.std())\n", "\n", "# smooth it\n", "from scipy.stats.kde import gaussian_kde\n", "hs = gaussian_kde(dL)\n", "\n", "# histogram, and overlay the smoothed PDF\n", "plt.figure()\n", "h, b, o = plt.hist(dL,bins=100)\n", "hsmoothed = hs(b)*len(dL)*(b[1]-b[0])\n", "plt.plot(b,hsmoothed)\n", "plt.xlabel('luminosity distance')\n", "plt.ylabel('posterior PDF')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the PSDs used in this analysis\n", "H1psd = data[waveform]['psds']['H1']\n", "L1psd = data[waveform]['psds']['L1']\n", "V1psd = data[waveform]['psds']['V1']\n", "colors = {'H1':'r','L1':'c','V1':'m'}\n", "\n", "plt.figure()\n", "for ifo in data[waveform]['psds'].keys():\n", " fr = data[waveform]['psds'][ifo][()].T[0]\n", " asd = np.sqrt(data[waveform]['psds'][ifo][()].T[1])\n", " plt.loglog(fr,asd,colors[ifo],label=ifo)\n", "plt.xlabel('frequency (Hz)')\n", "plt.ylabel('strain ASD (strain/rtHz)')\n", "plt.xlim([20,512])\n", "plt.ylim([1.e-24,1.e-19])\n", "plt.grid('both')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "The main results in the paper are based on these waveform models: \n", "['NRSur7dq4','IMRPhenomPv3HM', 'SEOBNRv4PHM'] \n", "where the preferred waveform model is 'NRSur7dq4' . \n", "\n", "Some of the paper content is drawn from other waveform models: \n", "[ 'NR', , 'NRSur7dq4_Lmax2', 'NRSur7dq4_Lmax2_coprecessing_modes', 'NRSur7dq4_Lmax3', 'NRSur7dq4_Lmax4', 'NRSur7dq4_aligned'] \n", "which we won't explore here." ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "Now extract the parameter values for each of the three waveform models, for Table 1" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "Collapsed": "false" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parameter NRSur7dq4 IMRPhenomPv3HM SEOBNRv4PHM\n" ] }, { "data": { "text/html": [ "
mass_1_source(84.83, 21.07, -13.9)(90.33, 22.81, -15.66)(98.9, 42.08, -18.79)
mass_2_source(65.86, 16.96, -17.79)(64.94, 15.78, -18.26)(71.13, 21.01, -27.9)
total_mass_source(149.75, 29.15, -17.01)(154.44, 25.07, -15.9)(170.3, 36.49, -23.16)
chirp_mass_source(64.04, 13.02, -7.98)(65.46, 10.99, -7.46)(71.3, 15.01, -9.92)
mass_ratio(0.7942, 0.1852, -0.2911)(0.7253, 0.2431, -0.2874)(0.7423, 0.2286, -0.424)
mass_1(152.09, 31.69, -18.83)(153.97, 39.9, -21.7)(159.12, 86.91, -24.01)
mass_2(119.8, 20.95, -32.14)(112.73, 25.18, -35.15)(116.99, 28.49, -45.06)
total_mass(272.59, 26.24, -27.38)(267.02, 37.28, -32.31)(279.54, 53.61, -35.99)
chirp_mass(116.84, 12.13, -14.27)(113.93, 15.13, -17.28)(118.13, 16.76, -17.5)
a_1(0.6921, 0.2744, -0.6211)(0.6506, 0.3174, -0.5748)(0.8002, 0.1844, -0.5826)
a_2(0.7278, 0.2436, -0.6351)(0.5276, 0.4226, -0.4764)(0.538, 0.4113, -0.4795)
tilt_1(1.423, 1.111, -0.934)(1.394, 1.113, -0.856)(1.4168, 0.8573, -0.7928)
tilt_2(1.4899, 0.9986, -0.9672)(1.539, 1.093, -1.008)(1.618, 1.057, -1.041)
chi_eff(0.0812, 0.273, -0.3633)(0.059, 0.3074, -0.3932)(0.0635, 0.3396, -0.3474)
chi_p(0.6775, 0.2498, -0.3666)(0.5977, 0.3263, -0.4371)(0.7392, 0.2135, -0.3988)
final_mass_source(142.17, 28.02, -16.37)(147.23, 23.28, -14.69)(162.48, 35.25, -22.02)
final_spin(0.7201, 0.09005, -0.11561)(0.7197, 0.1121, -0.1472)(0.7432, 0.1208, -0.1404)
radiated_energy(7.617, 2.205, -1.861)(7.216, 2.739, -2.156)(7.801, 2.817, -2.347)
peak_luminosity(3.6755, 0.6671, -0.9107)(3.5475, 0.7448, -1.0733)(3.5232, 0.7528, -1.4058)
luminosity_distance(5297.0, 2359.0, -2552.0)(4578.0, 1569.0, -1619.0)(3965.0, 1990.0, -1826.0)
redshift(0.8177, 0.2849, -0.3421)(0.7259, 0.197, -0.2195)(0.6446, 0.2541, -0.2599)
ra(3.457, 2.782, -3.414)(3.533, 2.716, -3.498)(3.645, 2.594, -3.583)
dec(-0.782, 1.508, -0.411)(-0.874, 1.57, -0.328)(-0.572, 1.315, -0.608)
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# compile and print out the data for Table 1 of the implications paper\n", "from IPython.display import HTML, display\n", "\n", "# this function returns confidence intervals for a parameter \n", "def confidence_range(posterior,parameter,level):\n", " \n", " posterior_for_parameter = posterior[parameter]\n", " \n", " median = np.percentile(posterior_for_parameter,50)\n", " lower_bound = - median + np.percentile(posterior_for_parameter,(100-level)/2.)\n", " upper_bound = - median + np.percentile(posterior_for_parameter,100-(100-level)/2.)\n", " \n", " # round to 4 digit precision\n", " nsig = -int(np.floor(np.log10(np.abs(upper_bound)))) + (4 - 1)\n", " median = np.around(median,nsig)\n", " lower_bound = np.around(lower_bound,nsig)\n", " upper_bound = np.around(upper_bound,nsig)\n", " \n", " return(median,upper_bound,lower_bound)\n", "\n", "################\n", "# read in the posterior samples, get medians and 90% CIs:\n", "fn = \"GW190521_posterior_samples.h5\"\n", "data = h5py.File(fn,'r')\n", "\n", "waveforms = ['NRSur7dq4', 'IMRPhenomPv3HM', 'SEOBNRv4PHM']\n", "\n", "inspiral_parameters = ['mass_1_source', 'mass_2_source', 'total_mass_source','chirp_mass_source', 'mass_ratio',\n", " 'mass_1', 'mass_2', 'total_mass','chirp_mass', \n", " 'a_1', 'a_2', 'tilt_1', 'tilt_2' , 'chi_eff', 'chi_p','final_mass_source', 'final_spin',\n", " 'radiated_energy', 'peak_luminosity','luminosity_distance', 'redshift', 'ra', 'dec'] \n", "\n", "results = []\n", "for parameter in inspiral_parameters: \n", " result = [parameter]\n", " for waveform in waveforms:\n", " samples = data[waveform]['posterior_samples']\n", " try:\n", " r = confidence_range(samples,parameter,90)\n", " result.append(r)\n", " except: \n", " g=0\n", " \n", " results.append(result)\n", " # print some latex code. It will need to be hacked...\n", " #print(f'{result[0]} & ${result[1]}'+'^{'+f'{result[2]}'+'}_{'+f'{result[3]}'+'}$ \\\\\\\\')\n", "\n", "# print a nicely formatted table for reading\n", "print('Parameter',waveforms[0],waveforms[1],waveforms[2])\n", " \n", "display(HTML(\n", " '{}
'.format(\n", " ''.join(\n", " '{}'.format(''.join(str(_) for _ in row)) for row in results)\n", " )\n", " ))\n", " \n", " " ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "Compute probabilities that the source frame masses are in the nominal PISN mass gap" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "Collapsed": "false", "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NRSur7dq4 Nsamples 65723\n", "P(m1<=65) = 0.3 %\n", "P(m1<=50) = 0.0 %\n", "P(m1<=120) = 99.1 %\n", "P(m2<=65) = 46.2 %\n", "P(m2<=50) = 6.6 %\n", "P(m2<=120) = 100.0 %\n", "P(m1,m2 not in [65,120]) = 1.0 %\n", "P(m1 or m2 in [65,120]) = 99.0 %\n", " \n", "IMRPhenomPv3HM Nsamples 49263\n", "P(m1<=65) = 0.0 %\n", "P(m1<=50) = 0.0 %\n", "P(m1<=120) = 97.7 %\n", "P(m2<=65) = 50.2 %\n", "P(m2<=50) = 8.8 %\n", "P(m2<=120) = 100.0 %\n", "P(m1,m2 not in [65,120]) = 2.0 %\n", "P(m1 or m2 in [65,120]) = 98.0 %\n", " \n", "SEOBNRv4PHM Nsamples 19822\n", "P(m1<=65) = 0.0 %\n", "P(m1<=50) = 0.0 %\n", "P(m1<=120) = 88.0 %\n", "P(m2<=65) = 34.8 %\n", "P(m2<=50) = 10.1 %\n", "P(m2<=120) = 100.0 %\n", "P(m1,m2 not in [65,120]) = 9.8 %\n", "P(m1 or m2 in [65,120]) = 90.2 %\n", " \n" ] } ], "source": [ "waveforms = ['NRSur7dq4', 'IMRPhenomPv3HM', 'SEOBNRv4PHM']\n", "nsig = 1\n", "for waveform in waveforms:\n", " samples = data[waveform]['posterior_samples']\n", " m1 = samples['mass_1_source']\n", " m2 = samples['mass_2_source']\n", " Nsamp = m1.size\n", " print(waveform,'Nsamples',m1.size)\n", " print('P(m1<=65) =',round(m1[m1<=65.].size/Nsamp*100.,nsig),'%')\n", " print('P(m1<=50) =',round(m1[m1<=50.].size/Nsamp*100.,nsig),'%')\n", " print('P(m1<=120) =',round(m1[m1<=120.].size/Nsamp*100.,nsig),'%')\n", " print('P(m2<=65) =',round(m2[m2<=65.].size/Nsamp*100.,nsig),'%')\n", " print('P(m2<=50) =',round(m2[m2<=50.].size/Nsamp*100.,nsig),'%')\n", " print('P(m2<=120) =',round(m2[m2<=120.].size/Nsamp*100.,nsig),'%')\n", "\n", " mm = m1[((m1<65.) | (m1>120.)) & ((m2<65.) | (m2>120.))]\n", " print('P(m1,m2 not in [65,120]) = ',round(mm.size/m1.size*100.,nsig),'%')\n", " mm = m1[((m1>65.) & (m1<120.)) | ((m2>65.) & (m2<120.))]\n", " print('P(m1 or m2 in [65,120]) = ',round(mm.size/m1.size*100.,nsig),'%')\n", " print(' ')\n", "\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parameter NRSur7dq4_Lmax2 NRSur7dq4_Lmax4\n" ] }, { "data": { "text/html": [ "
mass_1_source(104.22, 33.22, -25.7)(83.49, 19.53, -13.03)
mass_2_source(63.52, 23.22, -20.23)(65.5, 16.51, -15.42)
mass_ratio(0.6178, 0.3268, -0.2706)(0.8019, 0.1746, -0.2664)
chi_eff(0.0608, 0.2743, -0.2898)(0.0676, 0.2801, -0.3031)
chi_p(0.7505, 0.2073, -0.3944)(0.6609, 0.2726, -0.4004)
luminosity_distance(3651.0, 2440.0, -1785.0)(5392.0, 2199.0, -2358.0)
redshift(0.6022, 0.3131, -0.2598)(0.829, 0.2654, -0.3125)
iota(1.428, 1.26, -1.024)(1.013, 1.902, -0.804)
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# we also need some numbers from HM runs, so read those in:\n", "studies_samples_fn = \"GW190521_studies_posterior_samples.h5\"\n", "studies_samples_data = h5py.File(studies_samples_fn,'r')\n", "\n", "hm_waveforms = ['NRSur7dq4_Lmax2','NRSur7dq4_Lmax4']\n", "hm_parameters = ['mass_1_source', 'mass_2_source', 'mass_ratio', 'chi_eff', 'chi_p','luminosity_distance', 'redshift','iota']\n", "hm_results = []\n", "for parameter in hm_parameters: \n", " result = [parameter]\n", " for waveform in hm_waveforms:\n", " samples = studies_samples_data[waveform]['posterior_samples']\n", " try:\n", " r = confidence_range(samples,parameter,90)\n", " result.append(r)\n", " except: \n", " g=0\n", " \n", " hm_results.append(result)\n", "\n", "# print a nicely formatted table for reading\n", "print('Parameter',hm_waveforms[0],hm_waveforms[1])\n", " \n", "display(HTML(\n", " '{}
'.format(\n", " ''.join(\n", " '{}'.format(''.join(str(_) for _ in row)) for row in hm_results)\n", " )\n", " ))\n", " \n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NRSur PHM BFs/n, lnz, H, nsamp, nlive = 84.49 -11938.02 21.71 65723 2048 \n", "\n", "GW190521 Bayes factor of NRSur PHM vs:\n", "aligned spin BFs/n, lnz, H, nsamp, nlive = 82.06 -11940.45 20.78 63594 2048\n", "\t log_10 BF = 1.055 +0.063 -0.063\n", "No spin BFs/n, lnz, H, nsamp, nlive = 82.37 -11940.14 20.45 55894 2048\n", "\t log_10 BF = 0.921 +0.062 -0.062\n", "Only l2m2 BFs/n, lnz, H, nsamp, nlive = 85.36 -11937.15 22.47 72060 2048\n", "\t log_10 BF = -0.378 +0.064 -0.064\n" ] } ], "source": [ "# compute Bayes Factors for spin precession and HMs.\n", "\n", "def get_BF_data(BF_data):\n", " BFn = BF_data['meta_data']['sampler']['ln_bayes_factor'][0]\n", " lnz = BF_data['meta_data']['sampler']['ln_evidence'][0]\n", " H = BF_data['meta_data']['other']['information_nats'][0]\n", " nsamp = BF_data['meta_data']['sampler']['nsamples'][0]\n", " nlive = BF_data['meta_data']['other']['number_live_points'][0]\n", " return BFn, lnz, H, nsamp, nlive\n", "\n", "# # get BF(s/n), ln(evidence), information gain (nats) Nsamples and live points for the reference model:\n", "BF1, lnz1, H1, nsamp1, nlive1 = get_BF_data(data['NRSur7dq4'])\n", "print('NRSur PHM','BFs/n, lnz, H, nsamp, nlive =', BF1, lnz1, round(H1,2), nsamp1, nlive1,'\\n')\n", "\n", "# models to compare:\n", "BFinputs = {'aligned spin': studies_samples_data['NRSur7dq4_spinaligned'], \n", " 'No spin': studies_samples_data['NRSur7dq4_nospin'], \n", " 'Only l2m2': studies_samples_data['NRSur7dq4_l2m2']}\n", "\n", "print(\"GW190521 Bayes factor of NRSur PHM vs:\")\n", "for k in BFinputs.keys():\n", " # get BF(s/n), ln(evidence), information gain (nats) Nsamples and live points for alternative models\n", " BF2, lnz2, H2, nsamp2, nlive2 = get_BF_data(BFinputs[k])\n", " print(k,'BFs/n, lnz, H, nsamp, nlive =', BF2, lnz2, round(H2,2), nsamp2, nlive2)\n", " # compute bayes factor between models\n", " bf = np.exp(lnz1 - lnz2) \n", " # compute theoretical error in the natural log of BF (Skilling p.844)\n", " delta_ln_bf = np.sqrt(H1/nlive1+ H2/nlive2)\n", " # compute BF upper and lower limits\n", " bf_p = bf*np.exp(delta_ln_bf)\n", " bf_m = bf*np.exp(-delta_ln_bf)\n", " # print out the log10 BFs\n", " print('\\t log_10 BF = %.3f +%.3f -%.3f' % (np.log10(bf), np.log10(bf_p/bf), np.log10(bf/bf_m)))\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "Collapsed": "false", "scrolled": true }, "outputs": [], "source": [ "# Done with simple stuff using `h5py` ; release memory for the data\n", "del data\n", "del studies_samples_data" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "Now use PESummary (v0.7.0 or greater) to read the data files as well as for plotting. " ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "Collapsed": "false" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.7.0\n" ] } ], "source": [ "# import ligo-specific python packages. \n", "# pesummary is a ligo-specific python package \n", "# for reading and plotting the results of Bayesian parameter estimation.\n", "# Install with \"pip install pesummary\" , and make sure you have version >= 0.7.0.\n", "import pesummary\n", "from pesummary.gw.file.read import read\n", "print(pesummary.__version__)" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "There are 3 different waveform models that were used to analyze __GW190521__ and they are all stored in the data file." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "Collapsed": "false" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['IMRPhenomPv3HM', 'NRSur7dq4', 'SEOBNRv4PHM']\n" ] } ], "source": [ "fn = \"GW190521_posterior_samples.h5\"\n", "data = read(fn)\n", "labels = data.labels\n", "print(labels)" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "To illustrate the data structure we'll pick the preferred waveform model and plot its parameter samples." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "Collapsed": "false" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dict_keys(['H1_matched_filter_abs_snr', 'H1_matched_filter_snr_angle', 'H1_optimal_snr', 'H1_spcal_amp_0', 'H1_spcal_amp_1', 'H1_spcal_amp_2', 'H1_spcal_amp_3', 'H1_spcal_amp_4', 'H1_spcal_amp_5', 'H1_spcal_amp_6', 'H1_spcal_amp_7', 'H1_spcal_amp_8', 'H1_spcal_amp_9', 'H1_spcal_phase_0', 'H1_spcal_phase_1', 'H1_spcal_phase_2', 'H1_spcal_phase_3', 'H1_spcal_phase_4', 'H1_spcal_phase_5', 'H1_spcal_phase_6', 'H1_spcal_phase_7', 'H1_spcal_phase_8', 'H1_spcal_phase_9', 'L1_matched_filter_abs_snr', 'L1_matched_filter_snr_angle', 'L1_optimal_snr', 'L1_spcal_amp_0', 'L1_spcal_amp_1', 'L1_spcal_amp_2', 'L1_spcal_amp_3', 'L1_spcal_amp_4', 'L1_spcal_amp_5', 'L1_spcal_amp_6', 'L1_spcal_amp_7', 'L1_spcal_amp_8', 'L1_spcal_amp_9', 'L1_spcal_phase_0', 'L1_spcal_phase_1', 'L1_spcal_phase_2', 'L1_spcal_phase_3', 'L1_spcal_phase_4', 'L1_spcal_phase_5', 'L1_spcal_phase_6', 'L1_spcal_phase_7', 'L1_spcal_phase_8', 'L1_spcal_phase_9', 'V1_matched_filter_abs_snr', 'V1_matched_filter_snr_angle', 'V1_optimal_snr', 'V1_spcal_amp_0', 'V1_spcal_amp_1', 'V1_spcal_amp_2', 'V1_spcal_amp_3', 'V1_spcal_amp_4', 'V1_spcal_amp_5', 'V1_spcal_amp_6', 'V1_spcal_amp_7', 'V1_spcal_amp_8', 'V1_spcal_amp_9', 'V1_spcal_phase_0', 'V1_spcal_phase_1', 'V1_spcal_phase_2', 'V1_spcal_phase_3', 'V1_spcal_phase_4', 'V1_spcal_phase_5', 'V1_spcal_phase_6', 'V1_spcal_phase_7', 'V1_spcal_phase_8', 'V1_spcal_phase_9', 'azimuth', 'cosalpha', 'cos_theta_jn', 'deltalogL', 'deltaloglH1', 'deltaloglL1', 'deltaloglV1', 'log_likelihood', 'log_prior', 'logw', 'network_matched_filter_snr', 'network_optimal_snr', 'phase', 'phi_12', 'phi_jl', 'mass_ratio', 't0', 'geocent_time', 'ra', 'dec', 'luminosity_distance', 'psi', 'chirp_mass', 'a_1', 'a_2', 'tilt_1', 'tilt_2', 'theta_jn', 'inverted_mass_ratio', 'mass_1', 'mass_2', 'total_mass', 'symmetric_mass_ratio', 'iota', 'spin_1x', 'spin_1y', 'spin_1z', 'spin_2x', 'spin_2y', 'spin_2z', 'phi_1', 'phi_2', 'chi_eff', 'chi_p', 'final_mass', 'final_spin', 'final_kick', 'cos_tilt_1', 'cos_tilt_2', 'redshift', 'comoving_distance', 'mass_1_source', 'mass_2_source', 'total_mass_source', 'chirp_mass_source', 'final_mass_source', 'radiated_energy', 'H1_time', 'L1_time', 'V1_time', 'H1_matched_filter_snr', 'L1_matched_filter_snr', 'V1_matched_filter_snr', 'cos_iota', 'peak_luminosity'])\n" ] } ], "source": [ "waveform = \"NRSur7dq4\"\n", "samples_dict = data.samples_dict\n", "posterior_samples = samples_dict[waveform]\n", "prior_samples = data.priors[\"samples\"][waveform]\n", "parameters = posterior_samples.keys()\n", "print(parameters)" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "As an example, we'll show the different posterior distributions derived for a single waveform and the posterior distribution derived using the different approximants for the `luminosity_distance` parameter." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "image/png": 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kI0dOFhxJ+ZTxesc98UTwXOIvITdJvxdlv+ZV1cv7GNf8asvLy7p06VKivmfPntWpU6cS9TUzuXuic589e7YnfUdGRnTx4sWBuN5FJcW1JseipHVC105l6NQ/a/uSux+PGsJEelrSnbH+hyQtRgm7me0zs5nGxXrh6/2StGXLFr/77rubfDTydOTIEZXt+3wl3JsLjKKcBvF6b90q1evJ+tbr0uSkdPp0T0MqhUceCZ47fS8G8Zqjt/cxrvnVTpw4oeXl5UR9x8fHtbKykqj/IPQdGxvT66+/PhDXu6g5xUsKK0DERK8bR3ST9M/a3uiApHvjI8fuvtAwgn1Q0myT9wIYMvV68qR4cjJ4AAAGS1EjxYu6dvS2JgXzdrvtb2aZ2uMHwyoVs01Gjs9JWhfrv6SGOcdAUp//fPD86KPFxoH8MPqLYcN9LJuTJ0/K3Tv2Gxsb60M0kApKit39uJk1mzd8KE3/rO2RsETbwSghNrPNseR4tiGBnpJ0XEAK/+yfBc/8YwKgrLiPZePuiaYXrF69ug/RQCq2JNv+hrrE2xSUQZMkmdlUQ3vb/lnbzWxaQaJ81MxqYSWKh6SWo9c7JO1t9wUCAACgHArb0c7dZ81sd2ynuFMNtX+nFSSe80n6Z2kPp0ccDLvGE+l4PPvDzTyWJG2UtI9axQAAANVQ6DbPzUqaxdouV3FI0j9LezgSbB3euySp7fkBAN2p16UNG9r3eeKJoFLF5KT00kv9iArAMCo0KQYADK9uqnAkre4BAGmRFAMACpF01PfIEcrYAeg9kmKgAN/6VtERAEA23MdQNSTFQAHYmh7oXpL5x3HMQe4t7mOoGpJioADf+EbwfOutxcYBlEW30yeYg9x73MeuxYYc5UZSDBTg538+eGYHNCCZbkd8uxlRRjrcx67FhhzlVuTmHQAAAMBAICkGAADA0GP6BAAAKLWkc3klycy0adOmHkeEMiIpBgAApZZ0Lq/U/SI3Fs8ND5JiAACAFlg8NzxIioECfOELRUcAANlwH0PVkBQDBZieLjoCAMiG+xiqhuoTAAAAGHokxUABfuqnggcAlBX3MVQN0yeAApw5U3QEAJAN9zFUDSPFAAAAGHokxQAAABh6JMUAAAAYeiTFAAAAGHostAMK8Mu/XHQEAJAN9zFUDUkxUIDf+q2iIwCAbLiPoWpIigGgia1bpXo9Wd96XZqc7G08AIDeYk4xUICPfSx4YHDV68mT4slJkmIMH+5jqBpGioECzM8Hz089VWwcaG9yUjp9uugogMHEfQxV0/VIsZnd0YtAAAAAgKKkmT5xIPcoAAAAgAKlSYpvMrOPmdkDZrY294gAAACAPkszp/hed39FkszsXjOrSTrn7i/mGxoAAADQH10nxVFCHP75sCSZ2biZPSBpQtJz7v5mfiEC1XPLLUVHAADZcB9D1eRVfWKHpI9ImpK00cxOSVpg9Bho7qtfLToCAMiG+xiqJk31iQfC5zvM7HNmdklBUrzX3SfcfY+7f0HSMTP7kJltyDViAAAAIGdpRornw5HgCUl7Ja1z9/ONncJjz4dJ9OlMUQIV88d/HDz/nb9TbBwAkBb3MVRNmqR4SdKuJFMjzOzDkhZTfAZQaf/4HwfP/GMCoKy4j6Fq0pRk29vFXOGfU5BEAwAAAAMrTfWJTzceM7O1zSpOuPuDaQMDAADI2+joaNEhYEB1nRSb2YfDhXRxG81sStI6UXUCADAA6nVpw4ZkfScnpZde6mk4GBBmppMnT8rdO/YdGxvrQ0QYFGnmFL+r8UBYuzja0OOBrEEBQC9s3RokSknU60GihHLq5tol/TuB6nB3LS8vd+y3evXqPkSDQZEmKW75X6uw/No2SV9MGQ8A9Ey9njzZnZwkKS6zbkZ9k44mA6i2jkmxmb1X0rSkhyS9Nzy2u1lXSacU1CwG0Aa/pi3O5KR0+nTRUQDlx30MVdMxKY5Njfi0mc1JuuTue3oeGVBhjEACKDvuY6iabkuyfUrSQi8CAYbJuXPBAwDKivsYqqarOcXhLnWfb9fHzDa4++ksQQFV9973Bs/8Gh9AWXEfQ9WkWWjXyZyC+ccdhXOTFxRsGS1335+lf07tknSXpJfd/cks8QIAAKAc2k6fMLPvmNne2Ot7zexHbR6XJG1P8sHh/OQFd58Pk8uNZtbyvZ3659C+z92fDB87JD0UX1DYbbwAAAAoj05zimclPRd7vSjpeXdf1eIxIun5hJ894+7zsdcHJe3K0D91u5nVdO121Pu6PD8AAABKqm1S7O7Ph9UnotevSHq0wzlnO32omW1ucnhRQem3rvtnbVcwHWJ3uCtf3FSaeAEAAFAuqTbvMLO1kuTub0rB1s+SNiqYh5tk444JBUll3FJ4rpq7N47atu2ftd3dF8zsTnePV9bYJulQyngBAABQIpZk7++r3mD2OQW72h109y+a2bOSapI+oSB5HO+UGIdzcefcfWPsWE3SOUkbG5LTjv0lbc7S3uTzapJek3RnmDAnjtfMZiTNSNL69evvfOaZZ9p9K5CDCxcu6MYbbyw6jK4cOnSzJGl6+kzBkZRPluv99a8Hz7ffnmNA6Lle/4zz9yKdXt7Hur3my8vLunTpUqK+q1atkrsn6l+2voMSRzd9R0ZGdPHixb7+O37PPfccc/ctjcfTjBQfdPfnJcnMblGwsG5dbNT4QwnOsaSwgkNM9LpxRDZJ/6ztjQ5IujeW7CZ+f7gIb78kbdmyxe++++4mp0eejhw5orJ9n6+Eu6nAKMopy/V+5JHgmRJS5dLrn3H+XqTTy/tYt9f8xIkTWl5eTtR3fHxcKysrifqXre+gxNFN37GxMb3++usD8e94t5t3SMHoaGRa0itRQtykvZVFBaPLcTVJajEVoVP/rO2XhVUmZt39eIZ4AQAAUCJZ6xRvl9Q4P2Bdpze5+3EzazZv+FCa/lnbI+E0iYNRQmxmm939eLfxAp3cf3/w/OUvFxsHgEC9Lm3YkKzv5KT00ks9DacUuI+hatKMFK8zs/eb2ccVbHKxXwqmUpjZZyWdSnie/Q11frcpKIOm8HxTDe1t+2dtN7NpBYnuUTOrhZUoHkr6fqAbr74aPAAUb3IyeCRRrwcPcB9D9XQ9Uuzuz5vZvQrm2d7i7m+a2XsVTKVYkLRF0tcSnGfWzHaHieaUpFMNdYCnJe2QNJ+kf5b2cNHcwbBrPNFNfH4AQDl1M+qbdDQZQPmkmj7h7oclHY69fkXSK5JkZu/v4jxPtmm7vGAtSf8s7eG8YGv33iTnBwAAQDmlnlNsZnc0OTyhYPOOF1NHBAAAAPRZ10lxWHLtgIK5w81GV2/JGhQAAADQT2lGiu9y95YL9MLNPQC08fM/X3QEAJAN9zFUTZqk+OUO7bNpAgGGyef4ryOAkktzHzt58qSS7KSbdKMKIE9Z6xQ3c4sSVJ8AAADDxd1JeDGwuq5THJZke7+Z3WFma+Nt4es9uUUHVNSTTwYPACgr7mOomjQL7X6k2AI7M4v/HsQkdf69CDDk/s2/CZ537y42DgBIi/sYqibN9IlXJN3r7uebNZrZc9lCAoBktm7tbnexej35zmUAgOGSZpvnR1slxCEW2gHoi2633O1mO18AwHBJs83zK2a2QdJ2SUvu/gVJCrd+ftndX8s1QgBoY3JSOn266CgAAGXX9Uixmb1X0iFJ75BUi46HWz/fFSbMAAAAQGmkmVP8oLu/S7o8OnyZux82swcknc4hNqCy1qwpOgIAyIb7GKomTVJ8NPbnZpUmJlLGAgyNEyeKjgAAsuE+hqpJkxQ3lmBr9K6UsQAAMPDqdWnDhmR9Jyell17qaTgAcpKm+oSZ2YfDP3vs4B1m9oKkP8klMqDC/sf/CB4AyqWbCibdVkcpG+5jqJo01SeeN7NHzWxRkofP0ZSJGXd/MdcIgQr6xV8MnqmaAJRLN6O+SUeTy4r7GKomzfQJufvnzeyApC2SbpG0IOloh/rFAAAAHZk1m50J9FaqpFiS3H1JQWk2AACAXJ08eVLuzdbzX21sbKwP0WAYJE6Kw/rDc5I2S5oKDy9IOi7pc+7+1byDAwAAg61Xyau7a3l5uWO/1atXd3VeoJVESbGZPSdpWkE5tv2SlsKmmqS7JD1vZi9L2uHub/YiUAAAMHhIXlEVHZNiMzsq6aC7P9ih325JByR9IKfYAAAAgL5omxSb2cckPevun+50Ind/0szczD7m7k/lFiFQQc8/X3QEAJAN9zFUTaeR4m3unnjk190/bWbPZowJqLw77yw6AgDIJrqPsbMdqqLT5h2vpTjnuTSBAAAAAEXpNFKcJsFd6twFGG5/628Fz9/+drFxDKKtW9vvAvbEE9IjjwR/rteT7y4GIF/Rfew//sdi4wDykmab504612UBhtwPfxg8cK1utsbtZstdAPniPoaq6TRSXEtxzjTvAYDLJidbbx175AjbygIA8tcpKd5lZm1LsTVRk/TRlPEAAAAAfdcpKV5QsIvdYsLz3SRpd6aIAABA7pLuPGdm2rRpUx8iAgZLp6R43t0/380JzWyqcy8AANBPSXee63Y7ZqAq2ibF7v6Jbk+Y5j3AsPm1Xys6AgDIhvsYqqbjNs8A8sc/JgDKLrqPsXkHqqIXJdkAAACAUiEpBgqwc2fwAICy4j6GqmH6BFCAw4eLjgAAsonuY//knxQbB5AXRooBAAAw9LpOis3sjl4EAgAAABQlzUjxgdyjAAAAAAqUJim+ycw+ZmYPmNna3CMCAAAA+izNQrt73f0VSTKze82sJumcu7+Yb2hAdW3eXHQEANDc6Ohoon7cx1A1XSfFUUIc/vmwJJnZuJk9IGlC0nPu/mZ+IQLV88UvFh0BgH6Ymio6gu6ZmU6ePCl3b9vvk58MtoROsHM0UAp5lWTbIekjkqYkbTSzU5IWGD0GAAyz669XogRTCpLRTZs29SGqztxdywmy3dWrV/chGqA/uk6KzewBd/9iWIXiI5JmJB2UtNfdn4/1GzezD0k65u6n8woYqIJ/9++C50ceKTIKAP2QNMEcGxvrQzT5+dKXbtINN9yg++9fKToUIBdpRornw5HgCUl7Ja1z9/ONncJjz4fTKk43O5GZ7Za0EJ5L7r6/3Qd36p+1PeyzXdJd7j7b5PiUpHlJiwr+MzDv7gvtYgaa+c3fDJ5JigGU1f79P6aRkRHdf//ZokMBcpGm+sSSpF3ufpO7P9UsIY6Y2YfbtM0pmGIxHyanG8PEM1X/HNqnw6R5l6RakxAmJM1JOiXptfBcJMQAAAAVkGakeG8Xc4V/TtLnWrTNNIzGHpQ0q2AkNk3/TO3ufkjSITO7Sc2TYklaJ2mCZBgAkMT3vif96q9K3/hG574/+7PSfKt/AQH0XJrqE59uPGZma5tVnHD3B5udw8yaFXJZlDSdpn/W9qTcfUnBSDkAAG1NTkpr1khvvdW575kz0htv9D4mAK2lWWj3YXf/QsPhjWY2pWAkNUnViQkFSWncUnj+Wph8Ju6ftb3J5zVlZjPheSYk1dz9ySTvAwAMn5deCp5PnFDHsmX339/7eAC0l2b6xLsaD4S1i6MNPR5IcI5m0xOipHVC147GduqftT1JUnxI0mKUQJvZPjOb6bQ4EIC0datUryfrW68HI2wA2kta6k0qX2ULoAiW9Afq8hvM9rr7nhZtGyTNuvtHO5xjWtIBd18XOzalYBHbusaR2079JW3J0h7/vHBBXs3dd3X4GrZLmnP3jQ3HZxRUptD69evvfOaZZ9qdBjm4cOGCbrzxxqLD6MoPfrBKknTDDT8qOJL++PrXg18hJ9woS6Oj0rvf3bytjNcb2ZT9mi8vL+vSpUtt+3znO9LY2Ih+8ieTJ69JzhtZtWqV3D1R/6R9f/CDVVq1apXGxi7mel5JunjxokZHR3M/b7f9y9Z3UOLopu/IyIguXrzY15/xe+6555i7b2k83nGk2Mzeq2Du7UOS3hse292sq4Ikc0eCeBZ17ehtTbo8b7er/maWqb1TsNFW1ro6gV5SUKLtKuHI8X5J2rJli999992dTo+Mjhw5Ir7Pgy0qPXf6dPZzcb2HT9mv+YkTJzrWKd65U7r11jF99au35XreyPj4uFZWVhL1H4S+Z8+e1eTkZO7n7WXMgy1tyvEAACAASURBVNB3UOLopu/Y2Jhef/31gfgZ75gUx6ZGfDocRb3UaqQ4KXc/bmbN5g0fStM/a3tCsw0J9JSk4128H7hsIaxfUsYtYAEkn7pQ5WkL9fqozp+/TuvXs3kHqqHbOsWfUrD5RR72N9Ql3iZpX/TCzKYa2tv2z6G9pRajyTsUbF4CdO397w8eAMop2qWu06PbKYpl8tGP/qR+6Zf+etFhALnpaqFduFHH59v1MbMNSbZ1dvdZM9sd2ynulLvHKzROK0g855P0z9oelm2blrRd0kS4a98hd49Gg/eH00aWJG2UtK8hXgAAAJRUmuoTncwpmH/cUbuSZvG5uUn6Z20Pk9/jkpr2CUeLKcEGAABQQW2nT5jZd8xsb+z1vWb2ozaPSwpGWgEAAIDS6DSneFbSc7HXi5Ked/dVLR4jkp7vWbQAAABAD7SdPuHuzze8fsXMHu1wztnMUQEAAAB91PWc4nCxXTvjKWMBhsZnP1t0BACQzSc+8X+0Zs2aosMActOLhXZ7lHChHTCs7ruv6AgAIJuf/dk3NT5uWqFMMSqiZVIc7mR3tMvzmaTqFmUEAABAJbVbaLcg6XCbRXUstANS2ro1eABAWe3c+W794i+yeQeqo+VIsbufN7NdKc7JQjugg3q96AgAIJszZ67XyEi3G+MCg6vt32Z3fy3FOZk+AQAAgFLpxX/x5npwTgAAKu0nfmK06BCAoda2+oSZfUfSAXffE76+V9KftHuLGCkGAKBr111nOnnypNw7/zM6NjbWh4iA4dKpJNusggV3kWhHuwdbvcHMnmvVBgAAmjt/XvrUp1yHDy937Hvffas1Nibt3NmHwIAhwY52QAEefrjoCAAMkvXrpfFx6a23kvU/fz553175wAcWtXo1I9aojtQ72pnZWklbJE1JWnD3F8P2NIvzgKGyd2/REQAYJE8/HSTFKyvS44937v+ZzxSfFP/qr/6FxsfH2bwDlZFqoV04Wnxa0iFJn5B0yMzeMLMP5hgbAAAA0BddJ8Vm9iFJd0q6xd1H3P1d4aYdd0l62Mzen3eQQNXs2RM8AKCsfvd3f1xPPXVT0WEAuel6+oSkCXf/SONBd1+Q9KCZfVzSi5kjAyrsj/4oeC7zNIqtW5NvQlKvS5OTvY0HQH+98MKERkZG9A//YdGRAPlIM31ioUP78TSBACiXej15Ujw5SVIMABhsaUaKAUBSkOiePl10FAAAZJdmpPhlM3ugWUN4/FS2kAAAAID+ajlSbGbvlXS0dbM1brljks5J2ivpqXzCAwAAAHqv3fSJBUmHJe2IahMDyAfzawGU3c03/1DXXbeq6DCA3LRMit39vJnNJk2IzWytu7+ZX2hAdb30UtERAEA2Tz/9TTbvQKV02ub5lSQnMbNxSVvMrBa8zb+YR3AAAABAP6Ta0S5iZmvNbIOkdQoW2C1Ieih7WEC1/af/FDwAoKz+9E/X6j//57cVHQaQm65LsoWjwgckTStYWGdhU03SMUmzuUUHVNRHPxo8U84MQFn9zu/8DY2MjOiFF84VHQqQizR1ij8hadbdXzGzD7n781GDmd0raTG36AAAQFNLS9L99yfr+/DD0s6dvY0HKLs00yeOxuYar4s3uPvh7CEBAIB2arXgkcSZM0ECDaC9NCPF8frEx8zsgYaFdVOSvpYtLAAA0Mpjj0krK9Ljj3fum3Q0GRh2aUaKzcxuMbNnJS1J+nUz2xlbdMdCOwAAAJRK10lxOId4s4JFdm9IelDSHgUJ8ilJ+/IMEAAAAOi1NNMnosQ4WmD3pqR3mdk4O98Bybz4YtERAOV08uRJuXvHfmamTZs29SGi4fXZz35Lb3/724sOA8hNqqRYCmoUS9qiYA7xKXf/am5RARU3NVV0BEA5ubuWl5c79hsbG+tDNMNtcvItjY9fZEc7VEaqzTvM7FFJpyUdUlCi7bCZvWFmH8wxNqCyLlwIHgBQVv/v/43o+9+3zh2BkkizeceHJN0p6Zb4dAkzm5L0O2Z23t355TDQxnveEzwP2uYdW7dK9XqyvvW6NDnZ23gADK6HHtoUbt7xraJDAXKRZqR4wt0/0jh/2N0X3P1BBQkzgBKq15MnxZOTJMUAgOpIM6d4oUP78TSBABgMk5ODN4IN9EPSRXzMVwaqKfVCOwAABtXo6GjX70m6iG/16tVpQgIw4NIkxS832cVOkmRmD4iRYgBAwcws8civxOgvgDZJsZm9V9LR1s3W7E6zJGmvpKdyiA0AgNSSjvxKjP4CaD9SvCDpsKQdbMoB5Os3f7PoCAAgm5mZv9QNN9xQdBhAblomxe5+3sxmSYiB/D3ySNERAEA2v/ALb2h8fJzNO1AZbecUu/srrdrCHe2mFexotyDpkLu/mW94AAAAQO9l3dHu1yX9XPh8zsw+ll9oQHU98EDwAICy+vjHp/TYY3+t6DCA3KTd0a7m7hNN2j7eqjJFi3PtVjDKPCFJ7r4/S/+s7WGf7ZLucvfZrPECrRzvU42Wbnaok9ilDkBy3/jG2zQykmpsDRhIaXe0+3SzhvD4xiQnMbM5SQvuPh8mlxvDhDRV/xzap8Okd5ekWtZ4gUHQzQ51ErvUAQCGV5o6xW90aD+X8DwzDaOxByXNSppP2T9Tu7sfknTIzG5Sk6Q4RbzAQGCHOgAAOks1UtyhfV2nE5jZ5iaHFxUs3Ou6f9b2vOMFAABAuaQZKX7NzPZK+pS7/9/oYFiNYk7SgQTnmFCQVMYtheepuftSN/2ztjf5vKzxAkDlJN0hzsy0adOmPkQEAPnpOil298Nmtk7S/zazNxQkh1HiOevuLyY4TbPpCVHSORGes5v+Wds7JbWJ329mM5JmJGn9+vU6cuRIh1MjqwsXLpTu+7xp07slSUeOfLOnn/PEEwo/p6cf01dlvN5Vsby8rEuXLnXsNzIyojNnzuT2ufFrnjSGs2fPyt0T9e22f9n67tkjjY+f1Xe/m++53/Oem2Vm+u53v5t7zBcvXuzJebvtX7a+gxJHN31HRkZ08eLFgbivpxkplrvPS5o3s3t1pU7x0S42+ljStdMwoteNI7JJ+mdtzy3ecBHefknasmWL33333QlOjyyOHDmisn2fr4T7Yz39nGiTkCrNKS7j9a6KEydOJNo2eWxsTLfddlvi83YagV5eXtY73/lOjY2NaXl5OVEMwaYSK4m3ee6mf9n67twp3XffuJ54It9z7917Juz7E7nHfPbsWU1OTnKtu+w7KHF003dsbEyvv/76QNzX05Rke7+CkmxfdPfDCraC7tairh19rUlSi6kIbfubWab2HsQLAEjI3dv+43np0iUtLy9r9erVfYwKwLBJs9DuIwpGh1Nz9+O6dsrChKRDafpnbc87XqCTf/EvggcAlNUf/uHN+rf/drzoMIDcpEmKD7r7U60azSzpPl37G+r8bpO0L3aeqYb2tv1zaM8UL9ANkmJU2ejoaNEhoA/+6I9u1u/9XrMlN0A5pZlT/GyY+C64+9eatG+T1HFHO3efNbPdYaI5JelUOFc5Mi1ph67UEW7bP2t7WHZtWtJ2SRNmdkrSoXCUOEm8AFA6SStKjI2NJT6nmfXkvADQS6lKskkySTUza7zjmSSX9NEkJ3L3J9u0XV6wlqR/1vYw+T0uqV2ftucHgLLpNJ830u183l6dF+mcPy/t3SsdTrAK6OGHg8V5wLBJmxTvcPfXmjWa2XPZQgLQztatybdurtfZthkYduvXS+Pj0ltvde575oy0xPJxDKk0SfGjrRLi0N60wQDorF5PnuxOTpIUA8Pu6aeDpHhlRXr88fZ977+/PzEBgyjN5h2vZGkHIF1/fbb3T05Wq/YwgPK57jrXyEjneeNAWSRKis1sg4JFaJL0nLu/2auAgGHw7W8XHQEAZPMf/sOJcJOGoiMB8tGxJJuZfVzBjnXRwrdzZnZPrwMDAAAA+qVtUhxu4/yQpDvdfUTSOkkfkPSkma3tQ3xAJR07FjwAoKz+7M/epldfpXoIqqPT9IkZSfe6+3lJCp8PhTV8ZyS13MQDQGsf+lDwzLxgAGW1e/eURkZG9MILzKhENXSaPnEuSojjwuoT1puQAAAAgP7qlBRTrRAAAACV1ykpbldrpWnCbGbvTx8OAAAA0H+d5hTX2rS1Sph3SXoxXTgAgCxOnjwp92S1Y8fGxnocDQCUR6ekeJeZPdiirWZmc43HcogJAJCSu2t5eTlR39WrqRwAAJFOSfGCpDlJiwnPd5Okj2eKCBgCzzxTdAQAkM2nPvWa1qxZU3QYQG46JcXz7v75bk5oZlMZ4gGGws/8TNERAEA2t9/+fY2PX8eOdqiMtkmxu3+i2xOmeQ8w7LZuler1ZH3rdWlysrfxAAAwbDpu8wwgf7fdFjwi9XrypHhykqQYQPEefHCT7rvvJ4oOA8hNp+kTAHrg+9+/9tjkJDvcASje+fPS3r3S4cPt+505M6Ibb2RsDdXB32YAACBJWr9eGh9P1vfSpeABVAUjxQAAQJL09NNBUryyIj3+ePu+P/VT/YkJ6BdGigEAADD0SIoBAAAw9Jg+ARTgsceKjgAAsnnb217XrbeyVTiqg6QYKMDu3UVHAADZ3Hjj93T77QlX5QElQFIMAAPu5MmTcveO/cbGGLUDgLSYUwwU4CMfCR5AEu6u5eXljo8kiTOQl/Pn/4b+2397Z9FhALlhpBgowFe+UnQEAJDNyspa/fmfM7aG6iApBnpk69bWWzdHxzdsuPKarZsBACgO/8UDeqReb50UN5qcJCkGAKBIjBQDPTQ5KZ0+fe3xaIS4WRsAAOg/kmIAAJDKpUvS3r3S4cOd+z78sLRzZ+9jAtIiKQYK8J73FB0BAGSzZs0PND5+faK+Z85IS0s9DgjIiKQYKMCXv1x0BACQzVe/ekrj4+NaWZEef7x93/vv709MQBYkxQBQADbkAIDBQlIMFOAP/zB4/nt/r9g4kK9uEt1oQ45OVq9enUdoQO6+8pV1uuGGt+kDH1gpOhQgFyTFQAF+/deDZ5LiwUeiCzT3mc/8dY2MjOgDH3ij6FCAXJAUA0AbJLoAMBzYvAMAAABDj6QYAAAAQ4/pEwAGUqu5vMvLyzpx4sTl12amTZs29TM0AEAFkRQDXdi6VarXk/Wt14NtnpFOq7m8ly5duuo4JcsAAHkgKQa6UK8nT3YnJ1v3e+WVfOMCgH77gz/4M61du7boMIDckBQDXZqclE6fznaOdetyCQUACrN27Y80Pn5JK5QpRkWw0A4oQDTiDABl9b3vXa+//MtVRYcB5IaRYqAAW7cGz1lHnAGgKB/+8Ls1MjKiF174VqL+589Le/dKhw937vs7vyP98R9LO3dmDBLoQqFJsZntlrQgaUKS3H1/lv69bDez7ZKmJM1LWpQ0I2ne3Re6+JIBFCzpDnUSi/iAvKxfL42PS2+9laz/xYvSm2/2NiagUWFJsZnNSXrZ3eej12a2PXrdbf9etytIlOfCx5KkR0mIgfJJukOdxC51QF6efjpIildWpMcf79z/1Vd7HxPQqMg5xTMNCfBBSbsy9O91uyStk7TR3de1St4BAABQPoWMFJvZ5iaHFyVNp+nf6/aIuy8pGCUGAABAhRQ1fWJCQdIZtyRJZlYLk8/E/XvdHsVjZjNhvwlJNXd/su1XCQAAgFKwpAtOcv3QYNHanLtvjB2rSTqnYHrCQjf9JW3uZbu7L5jZlKTFWIK8T9KxJov1ZhQswtP69evvfOaZZ1J+l5DUhQsXdOONN/bls77+9eD59tuzneell26SJG3d+kbGiKpreXlZly5duub4xYsXdd11V/4/PzIy0tWCuFbnbWbVqlVy90T9y9Z3UOJI0je65nwv0vXt1bn/+3+/WatWjehnfuZM7jH/4AcX9eabo1q/vhzfi0HpOyhxdNN3ZGREFy9e7Nu/45J0zz33HHP3LY3HixopXlJY4SEmet04Ypukf6/b1WRR3UEFi+6uSorDJHm/JG3ZssXvvvvuJl8O8nTkyBGl/T53s22zdGU3u6yl1Phr0dmJEyeaLoj73ve+p/Xr119+PTY2pttuuy3zeZsZHx/XyspKov5l6zsocSTpG11zvhfp+vbq3H/370rj42u1srI695hfffWsDh+e1OOPl+N7MSh9ByWObvqOjY3p9ddfT/3veJ6KWmi3KKnWcKwmXZ63223/nrabWc3MPBw9jiwpKNGGEut2E412WzcDAIDyKmSk2N2Pm1mzecOH0vTvdXtotiFhn5J0vFm8KJc8Rn67dc89wfNXv9rfzwWAvOza9ZO67rpVevrp14oOBchFkSXZ9odzhSPbJO2LXpjZVEN72/69bG8xer1D0t4mx4GOXnsteABAWf3FX4yqXr++6DCA3BS2eYe7z5rZ7thOcacaav9OK0g855P073W7gqR5t4JpExsl7aNWMVC80dHRokMAAFRAods8tytpFl+wlqR/r9vD0WJKsAEZJN1iuZtqEmbWk/MCAIZLoUkx0AvdVJSIqkmgP5Jusdzt9sq9Oi+A4iwtSfff37nfffdJY2PSzp29jwnVVuScYqAnuqkoQTUJABg8q1ZJtcaaUC2cPy+9+WZv48FwYKQYlVRERYlubN/euQ8ADLJ77z3Xs9++vPOd0p490uOPd+77mc9Ib73VkzAwZEiKgQI89VTREQBANr/2a38ebtJQdCRAPpg+AQAAgKFHUgwU4Dd+I3gAQFnt2/dj+pf/cqLoMIDcMH0CKMDv/V7w/Fu/1Z/PS1qyTApKnG3atKnHEQEouy9/+SaNjIzoIx/5y6JDAXJBUgwMgaQlyyRq+QIAhhPTJwAAADD0GClGKbTbkOOJJ6RHHrnymg05AABAtxgpRimwIQcAAOglRopRGq025DhyZLA36mjm5puLjgAAslm37qKuu25V0WEAuSEpBgrwv/5X0REAQDb//t9/g807UCkkxUBJJS2z1m01idHR0bQhAQBQWiTFQAEOHQqep6fTnyNpmbXVq1d3dV4z6yrhXllZ6UlyDmCw/c//+XatWXODtmxhqBjVQFIMFODDHw6eB3UudDcJd6+ScwCD7bd/+29qZGREL7ywVHQoQC5IigEAQKktLUn335+s78MPSzt39jYelBNJMQAAKK1aTXrrrWR9z5wJEmigGZJiAABQWo89Jq2sSI8/3rlv0tFkDCc27wAAAMDQY6QYhWm3dXMjtm4GAOTh/Hlp717p8OHOfZl/PFxIilGYaOvmJMlu1bZu/spXio4AALL51//627rxxrcXHUZX1q+XxseTzUFm/vHwISlGoVpt3Vx1t95adAQAkM2GDSsaHx8r1Y52Tz8dJMVJ5iAz/3j4kBQDPdZsI4wf/tAkSddff+U4G2EAKJMf/tASV30AyoCkGOixZptb/MIvvEeS9KUvvXr5GBthACiTBx64Ldy841tFhwLkguoTAAAAGHokxQAAABh6TJ8AAABogvJtw4WRYgAAgAZR+bYkKN9WDYwUI1fdbsjxvvf1Nh4AANKgfNvwISlGrtJsyNGsZFkzZqZNmzblEOW1ksaQVxy/8it/len9AFC0X/mVv9INN9xQdBhAbkiKkbtuN+Q4cSJZGbJe1uZNWgpNktauXZv58z74wbOZzwEARfrgB89qfHy8VJt3AO2QFANdMrPEI8tssgEAw6GbRXn33SeNjbEwb9CQFKOyepm4Zt1kY8+eWyRJe/e+1vVnA8Ag2LPnFo2OXq+5uf9TdCiFixblJd3h7/z55H3RPyTFqKxB3h3u1VfX9P0zASBPr766RiMjFLGSuluUJ0mf+QxJ8SDibzMAAACGHkkxAAAAhh7TJ5C7qamiIwAAYLAtLSWrb8yivP4hKUburr++t4vcAAAos1qNRXmDiKR4iCVJXH/jN6Q33pCuv95ktknf/Gb7c9br0rvfPdiL3AbBHXdcKDoEAMjkjjsuaHT0+qLDKKXHHmNR3iAiKR5iSRLXP/3TYE/3971vTKOjnc85ORmUpkF7n/zk6aJDAIBMPvnJ02zegUohKUZHN98s/e7vSrfdlvw9J07kH8dokqwcAICKSTr/WJIefpj5x2mRFKM0Wu0kt7y8rBMNWfigz1V+7rl3SpIefPD1giMBgHSee+6duuGGG7Rjx5miQ6m0buYf/9VfSadPJ99ZjwT6aiTFSGRQRmmbTfm4dOnSNccGfa7y7/9+MMeEpBhAWf3+76/XyMgISXGPdTP/eOfO5En0mTPBCDSuKDQpNrPdkhYkTUiSu+/P0r/o9iprNUrbzKCP0gIAUEXd7Kx3//1BZQtGla8oLCk2szlJL7v7fPTazLZHr7vtX3R7mWzdKq1ZE/xP8hvfaN/3zJlgTrFERQkAAKpi/foggU4yqjws0zKKHCmecffZ2OuDkmYltUoyO/Uvur006vXg1yvr1nXue/PNVJMAAKBquhlV7mZaRrcJ9K23Sr/8y4lC7rlCkmIz29zk8KKk6TT9i24fBFu3SqOjwcYZndRq0k//tPSP/pGUYOAXAAAMsV4l0JK0uCj98IfZY8xDUSPFEwqSyrglSTKzmrs3Tv1u27/o9ibx9l29Lr397dKP//ifdewb/Mpktcws8fxfM0vcv999R0ZGrjnWqxjyOreZSbp6/vUgfI8HJY52fRuv9zB/L7L0HZQ4kvSNrjnfi3R9e3Xu6D7Wy5jL8r0YlL6DEMcf/IE0NmZaWTHt2dP5vI8/bh379EtRSXGtybEo6ZxQmHB20b/o9svxmtmMpJnw5QUz67AHXL5efTVZvz/5E+nTn+5tLH30Dklniw4ijfe8p+gISqm01xupcc0HWDc17LvANR8iBw/qHTMzfb3ef7PZwaKS4iWFFRxioteNI7JJ+hfdfllYkWJoqlIMAjM76u5bio4D/cH1Hj5c8+HDNR8ug3K9Rwr63EVdO/pak6QWUxE69S+6HQAAACVWSFLs7sd17RSJCUmH0vQvuh0AAADlVtRIsSTtN7PtsdfbJO2LXpjZVEN72/4D0I7iMF1luHC9hw/XfPhwzYfLQFxvS7JDWc8+/MoOcVOSluI7xIUL1na4+7Yk/QehHQAAAOVUaFIMAAAADIIid7QDgMvMbJ+772o4Fv12ZkK6XN0lt3YAQDbh1NK7Gnb9jdp6eg/P+x7PSDEGRviXW5LukvSyuz/ZpH1gfniQHzObk7S5YbrUnIK/B/O9eI3+s2AzpBld+Tk8Gi5kjtr5Ga+YcCpkpMZ9vTrMbFrSZgVrrBaaDGr09B7ek3u8u/PgUfhD0r6G18ck7Y69npO0vVeveRR67afC63Gw4fi5htfT8T5Z23n0/TrXJB2LvZ6RdCD2mp/xij3i9/Dw9Wbu69V7hN/3fU2O9/Qe3ot7fJHVJwBJl0ePGkve7ZMU/1/njF/9v7+DObejONMKrsdlZra5Sb/FsG/mdhRiTrGKPR6M6D0aa+dnvHoeir/w4LcCd8UOcc0rqtf38F7d40mKMQgmJO02s6mG41PS4P7wILvw12/PNWma0LW7Wy6F76nl0I7+m1FDbXcPNz/iZ7yyFs3sQPQinErxbPhnrnm19foe3pN7PEkxCufuC5LuDJ8j23TlH9CB/OFBLmrefFfIZtcluoYTObSjj2L/4Z0ys+1mNhNbQyDxM15VuyRtNrNz4fVejI3scs2rrdf38J7c40mKMRD86sU2NQX/249+DTaQPzzIxsy2e+sFEUu69tpErxdzaEd/Xf4tkLvPh1MnooUxEj/jlRQOdOxTsBBuTldPneCaV1uv7+E9uceTFGMQHZB0b2zkeCB/eJBeOHLYbIQ4sqhr/9GrSZd/5Z61Hf0V/ZwdjR07JCkaLeZnvILMbJ+k4+5+p6QdkmZi0ym45tXW63t4T+7x1CnGQAlHjmbjI8fq8JffzDK15xU7urJZ0kSsXNM2Bb9an5F0yN2Pm1njtZlQOKUmazv6bkG65uct/qtufsYrJprz6+7Rz+S8mR2XdCrswjWvsF7fw3t1j2ekGAMjLAB+MEqIYzfV47p2VPGqH44s7ei/6Ffo0UPBqvGl8HX0G4L94d+JyDbFqhfk0I4+CZOUpYbFtJcTGH7GK2lCVxJgSZenU8yHf+aaV1+v7+G53+NJijEQwioEE5KOmlkt/MczXs5n4H54kI9wdHiHgpHi3dEiGQ92R4oWZu2WdCo+BzlrO/pur66uDPCQpPgOWPyMV0g4QhyfQxz9ViC+oJprXmJmtjm8t26X9GB4/75cFaTX9/Be3OPZ0Q6FC2+U55o0zbv7jli/aOeiKYWjig3nydQOoLcaKk7IW+9uxs94BYSDG7sUGzHO+5pyzZEnkmIAAAAMPaZPAAAAYOiRFAMAAGDokRQDAABg6FGnGACGjJkdDP94sHGx2yAJ65ZHpRm3FRwOgIojKQaA4bMUr+wyqMKSS4rtggYAPcP0CQAoobAm6Ckzy7WEkJnNmNlBM3MzO5Wwv4exHIjqTANA2TBSDAAl5O5PmtlNunpDjDzOu9/MDinYBKHtucME+M7w5bbYboQAUDqMFANAeU2rN9vaTivcGaxha+ZGD4bPCyTEAMqOpBgAymuzpIMde3WvpivJdtOkONya/ZB6l5gDQF+RFANACYVJqdy9Jwmpuy+Ff2w1UlyTtBi29yIxB4C+Yk4xAJSAmW2W9JCkN8JDN0k63oPPqUmKpkIsSNrYpM92d5+PEnM1GSkO26YUzDXeYWbbJU2E53vZ3eebfO4eSZcX97n7/hy+JABIhKQYAAZcmFDucfc7w9dTCpLHXtQYjk+HWFDDSHH42VHSvE3BfOIlXWtzuBhwV1gXeUfUz8zOmdnxaB5ymEDPSbrX3ZfCzzhmZkfdPffEHwCaYfoEAAywcAT1gKTLdYVji9p6MW1hKpbkXpMUS5qOJarTajJaHSa18TnJ+xoS58XwvfGv79GGPvtJiAH0E0kxAAy2z0s6Hq/u0G4+caxu8IFwhDmLU4olxeHnPhdrb7rQz90X3P14mBzH8pJisAAAAjlJREFUF+1FouNS8PUtxBPg8P2zGWMHgK6QFAPAYJuW9GzDsW1qXfHhOUly9x2N83Y7CUdt46O1CwqT17CtFpsC0XI+cUPsV02viJV4i963Xdd+fQDQdyTFADCgYiOtjdMIptV66kSWEmmN743m/E5JerAhyd6mYLvodvWJmyXv28P3HY8lyEyTAFA4kmIAGFyL4XN86kRNwbSF4+HrmYb3bFP6ucZTDUlu9Oftko429E2SfDdL3ndJiqZGXPP1Rcxsc4eNQwAgVyTFADCgwmkHjYvd9oTPR8MpDI3J6oNKMVIcJtt3Nfl8SbopPuc3lpi3TL5jo9zxOcm7FcyP3h87f7QBSPy9myVtYZc8AP1ESTYAGGzbJM2GiaLcfdbMpLCmb3yxXTSy2li1wcxq3rxsWtR+QEFiWgv/HK8EsT9a9BYmw3O6ksTuMrONLRbFTStI6I+HyfCSgmkTOxr67ZA0Fxvxrkk6RI1iAP1m7l50DACAHISJ5bbGxDPabCP2+kCT5DTvWPZJkrvvyuFcPY8XAJg+AQDVsUMNUxqiKQsFxDIt6VgBnwsAqTB9AgBKLpzWMKNwM41wxLimYOqF3L0XO991iie+gQcADDymTwDAkOnldITYls2bJc1L2pt1ZzqmTwDoB5JiABgyZhZNsTjY71HkbphZlFw3W6AHALkiKQYAAMDQY6EdAAAAhh5JMQAAAIYeSTEAAACGHkkxAAAAhh5JMQAAAIYeSTEAAACGHkkxAAAAht7/B82SMxAtBxi2AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "parameter = \"luminosity_distance\"\n", "fig = posterior_samples.plot(parameter, type=\"hist\", prior=prior_samples[parameter])\n", "fig.set_size_inches(12, 8)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "parameter = \"luminosity_distance\"\n", "waveforms = ['NRSur7dq4', 'IMRPhenomPv3HM', 'SEOBNRv4PHM']\n", "fig = samples_dict.plot(parameter, type=\"hist\", kde=True, labels=waveforms)\n", "fig.set_size_inches(12, 8)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "Make a corner plot (this takes some time):" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = posterior_samples.plot(type=\"corner\", parameters=[\"mass_1_source\", \"mass_2_source\", \n", " \"chirp_mass_source\", \"total_mass_source\"])\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "The psds that were used for each analysis can also be extracted from this file and plotted" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "psd = data.psd[waveform]\n", "fig = psd.plot(fmin=11.)\n", "fig.set_size_inches(12, 8)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "The calibration envelopes that were used in this analysis can also be extracted from this file and plotted" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "Collapsed": "false" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pesummary.gw.plots.plot import _calibration_envelope_plot\n", "\n", "prior = data.priors[\"calibration\"][\"NRSur7dq4\"]\n", "calibration = data.calibration[\"NRSur7dq4\"]\n", "ifos = list(calibration.keys())\n", "frequencies = np.arange(20., 1024., 1. / 4)\n", "calibration_data, prior_data = [], []\n", "for ifo in ifos:\n", " calibration_data.append(np.array(calibration[ifo]))\n", " prior_data.append(np.array(prior[ifo]))\n", "fig = _calibration_envelope_plot(frequencies, calibration_data, ifos, prior=prior_data)\n", "fig.set_size_inches(12, 8)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "Collapsed": "false" }, "source": [ "The configuration file that were used for each analysis can also be extracted from this file" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "Collapsed": "false", "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[analysis]\n", "coherence-test=False\n", "dataseed=1234\n", "engine=lalinferencenest\n", "ifos=['H1', 'L1', 'V1']\n", "nparallel=4\n", "osg=False\n", "randomseed=4321\n", "roq=False\n", "service-url=https://gracedb.ligo.org/api/\n", "singularity=False\n", "upload-to-gracedb=False\n", "\n", "\n", "[bayeswave]\n", "\n", "\n", "[condor]\n", "accounting_group=ligo.prod.o3.cbc.pe.lalinference\n", "accounting_group_user=max.isi\n", "coherencetest=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/lalinference_coherence_test\n", "combinePTMCMCh5script=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/cbcBayesCombinePTMCMCh5s\n", "computeroqweights=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/lalinference_compute_roq_weights\n", "datafind=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/gw_data_find\n", "gracedb=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/gracedb\n", "lalinferencebambi=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/lalinference_bambi\n", "lalinferencedatadump=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/lalinference_datadump\n", "lalinferencemcmc=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/lalinference_mcmc\n", "lalinferencenest=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/lalinference_nest\n", "lalsuite-install=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37/\n", "ligo-skymap-from-samples=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/ligo-skymap-from-samples\n", "ligo-skymap-plot=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/ligo-skymap-plot\n", "ligolw_print=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/ligolw_print\n", "mergeMCMCscript=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/cbcBayesMCMC2pos\n", "mergeNSscript=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/lalinference_nest2pos\n", "mpirun=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/mpirun\n", "mpiwrapper=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/lalinference_mpi_wrapper\n", "pos_to_sim_inspiral=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/cbcBayesPosToSimInspiral\n", "ppanalysis=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/cbcBayesPPAnalysis\n", "processareas=/usr/bin/process_areas\n", "queue=Priority_PE\n", "resultspage=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/cbcBayesPostProc\n", "segfind=/cvmfs/oasis.opensciencegrid.org/ligo/sw/conda/envs/igwn-py37//bin/ligolw_segment_query\n", "\n", "\n", "[data]\n", "channels={'H1': 'H1:DCS-CALIB_STRAIN_CLEAN_SUB60HZ_C01', 'L1': 'L1:DCS-CALIB_STRAIN_CLEAN_SUB60HZ_C01','V1': 'V1:Hrec_hoft_16384Hz'}\n", "\n", "\n", "[datafind]\n", "types={'H1': 'H1_HOFT_CLEAN_SUB60HZ_C01', 'L1': 'L1_HOFT_CLEAN_SUB60HZ_C01','V1': 'V1Online'}\n", "url-type=file\n", "\n", "\n", "[engine]\n", "H1-psd=/home/katerina.chatziioannou/BayesWaveO3/GW190521/PSDFix/glitch_median_PSD_forLI_H1.dat\n", "H1-spcal-envelope=/home/ling.sun/public_html/Calibration/Uncertainty/O3C01/LHO/Aug-24-2019_O3_LHO_GPSTime_1242442884_C01_RelativeResponseUncertainty_FinalResults.txt\n", "L1-psd=/home/katerina.chatziioannou/BayesWaveO3/GW190521/PSDFix/glitch_median_PSD_forLI_L1.dat\n", "L1-spcal-envelope=/home/ling.sun/public_html/Calibration/Uncertainty/O3C01/LLO/Aug-24-2019_O3_LLO_GPSTime_1242443764_C01_RelativeResponseUncertainty_FinalResults.txt\n", "V1-psd=/home/katerina.chatziioannou/BayesWaveO3/GW190521/PSDFix/glitch_median_PSD_forLI_V1.dat\n", "V1-spcal-envelope=/home/cbc/pe/O3/calibrationenvelopes/Virgo/V_earlyO3_calibrationUncertaintyEnvelope_magnitude5percent_phase2degrees10microseconds.txt\n", "a_spin1-max=0.99\n", "a_spin2-max=0.99\n", "adapt-temps=\n", "amporder=1\n", "approx=NRSur7dq4pseudoFourPN\n", "chirpmass-max=150.0\n", "chirpmass-min=70.0\n", "comp-max=300.0\n", "comp-min=30.0\n", "distance-max=10000\n", "enable-spline-calibration=\n", "fref=11\n", "maxmcmc=10000\n", "mtotal-min=200\n", "neff=1000\n", "nlive=2048\n", "ntemps=8\n", "progress=\n", "q-max=1.0\n", "q-min=0.17\n", "resume=\n", "seglen=8.0\n", "spcal-nodes=10\n", "srate=1024.0\n", "tolerance=0.1\n", "\n", "\n", "[input]\n", "analyse-all-time=False\n", "events=all\n", "gps-end-time=1242442986\n", "gps-start-time=1242442821\n", "gps-time-file=/home/max.isi/projects/cbc_pe/GW190521g/gpstime.txt\n", "ignore-gracedb-psd=True\n", "ignore-state-vector=True\n", "max-psd-length=10000\n", "minimum_realizations_number=8\n", "padding=16\n", "threshold-snr=3\n", "timeslides=False\n", "\n", "\n", "[lalinference]\n", "flow={'H1': 11.0, 'L1': 11.0, 'V1': 11.0}\n", "\n", "\n", "[ligo-skymap-from-samples]\n", "enable-multiresolution=\n", "\n", "\n", "[ligo-skymap-plot]\n", "annotate=\n", "contour=50 90\n", "\n", "\n", "[mpi]\n", "machine-count=8\n", "machine-memory=2000\n", "mpi_task_count=8\n", "\n", "\n", "[paths]\n", "basedir=/home/max.isi/projects/cbc_pe/GW190521g/prod_nr7dq4_nest_ao1_8s_newpsd/\n", "daglogdir=/home/max.isi/projects/cbc_pe/GW190521g/prod_nr7dq4_nest_ao1_8s_newpsd\n", "webdir=/home/max.isi/public_html/cbc_pe/GW190521g/prod_nr7dq4_nest_ao1_8s_newpsd/\n", "\n", "\n", "[ppanalysis]\n", "\n", "\n", "[resultspage]\n", "skyres=0.5\n", "\n", "\n", "[singularity]\n", "\n", "\n", "[skyarea]\n", "maxpts=2000\n", "\n", "\n", "[statevector]\n", "bits=['Bit 0', 'Bit 1', 'Bit 2']\n", "state-vector-channel={'H1': 'H1:DCS-CALIB_STATE_VECTOR', 'L1': 'L1:DCS-CALIB_STATE_VECTOR','V1': 'V1:DQ_ANALYSIS_STATE_VECTOR'}\n", "\n", "\n" ] } ], "source": [ "config = data.config[\"NRSur7dq4\"]\n", "for i in config.keys():\n", " print(\"[{}]\".format(i))\n", " for key, item in config[i].items():\n", " print(\"{}={}\".format(key, item)) # .decode(\"utf-8\")\n", " print(\"\\n\")" ] } ], "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }