{ "metadata": { "kernelspec": { "name": "python36", "display_name": "Python 3.6", "language": "python" }, "language_info": { "mimetype": "text/x-python", "nbconvert_exporter": "python", "name": "python", "pygments_lexer": "ipython3", "version": "3.6.6", "file_extension": ".py", "codemirror_mode": { "version": 3, "name": "ipython" } } }, "nbformat_minor": 2, "nbformat": 4, "cells": [ { "cell_type": "markdown", "source": "## 2. PyCBC Tutorial: Visualization of Data and Signal Processing\n\nWe will be using the [PyCBC](http://github.com/ligo-cbc/pycbc) library, which is used to study gravitational-wave data, find astrophysical sources due to compact binary mergers, and study their parameters. These are some of the same tools that the LIGO and Virgo collaborations use to find gravitational waves in LIGO/Virgo data \n\nIn this tutorial we will walk through how to visualize LIGO/Virgo data and how to perform some basic signal processing on it, including high/low passing, psd estimation, and whitening.\n\nAdditional [examples](http://pycbc.org/pycbc/latest/html/#library-examples-and-interactive-tutorials) and module level documentation are [here](http://pycbc.org/pycbc/latest/html/py-modindex.html)", "metadata": {} }, { "cell_type": "markdown", "source": "#### Getting the software environment setup\n\nPyCBC is installable through pip, but also relies on portions of the [LALSuite](git.ligo.org/lscsoft/lalsuite) c-library. A bundled version of this suitable for use with PyCBC is also available on Mac / Linux through pip. These can be installed as follows within the notebook.", "metadata": {} }, { "cell_type": "code", "source": "import sys\n!{sys.executable} -m pip install pycbc ligo-common --no-cache-dir", "metadata": { "trusted": true }, "execution_count": 1, "outputs": [ { "text": "Requirement already satisfied: pycbc in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (1.14.4)\nRequirement already satisfied: lalsuite in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (6.62)\nRequirement already satisfied: ligo-common in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (1.0.3)\nRequirement already satisfied: decorator>=3.4.2 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (4.3.0)\nRequirement already satisfied: Mako>=1.0.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (1.1.0)\nRequirement already satisfied: emcee==2.2.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (2.2.1)\nRequirement already satisfied: matplotlib>=1.5.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (3.0.0)\nRequirement already satisfied: lscsoft-glue>=1.59.3 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (2.0.0)\nRequirement already satisfied: six>=1.10.0 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (1.11.0)\nRequirement already satisfied: requests>=1.2.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (2.22.0)\nRequirement already satisfied: ligo-segments in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (1.2.0)\nRequirement already satisfied: tqdm in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (4.26.0)\nRequirement already satisfied: mpld3>=0.3 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (0.3)\nRequirement already satisfied: astropy>=2.0.3; python_version > \"3.0\" in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (3.0.4)\nRequirement already satisfied: cython in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (0.29.14)\nRequirement already satisfied: scipy>=0.16.0; python_version >= \"3.5\" in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (1.1.0)\nRequirement already satisfied: beautifulsoup4>=4.6.0 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (4.6.3)\nRequirement already satisfied: pillow in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (5.3.0)\nRequirement already satisfied: h5py>=2.5 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (2.8.0)\nRequirement already satisfied: numpy>=1.13.0; python_version > \"3.0\" in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (1.16.2)\nRequirement already satisfied: jinja2 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (2.10)\nRequirement already satisfied: python-dateutil in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from lalsuite) (2.8.1)\nRequirement already satisfied: MarkupSafe>=0.9.2 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from Mako>=1.0.1->pycbc) (1.1.0)\nRequirement already satisfied: cycler>=0.10 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from matplotlib>=1.5.1->pycbc) (0.10.0)\nRequirement already satisfied: kiwisolver>=1.0.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from matplotlib>=1.5.1->pycbc) (1.0.1)\nRequirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from matplotlib>=1.5.1->pycbc) (2.3.0)\nRequirement already satisfied: pyOpenSSL in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from lscsoft-glue>=1.59.3->pycbc) (18.0.0)\nRequirement already satisfied: chardet<3.1.0,>=3.0.2 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from requests>=1.2.1->pycbc) (3.0.4)\nRequirement already satisfied: certifi>=2017.4.17 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from requests>=1.2.1->pycbc) (2018.10.15)\nRequirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from requests>=1.2.1->pycbc) (1.23)\nRequirement already satisfied: idna<2.9,>=2.5 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from requests>=1.2.1->pycbc) (2.7)\nRequirement already satisfied: setuptools in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from kiwisolver>=1.0.1->matplotlib>=1.5.1->pycbc) (41.6.0)\nRequirement already satisfied: cryptography>=2.2.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pyOpenSSL->lscsoft-glue>=1.59.3->pycbc) (2.3.1)\nRequirement already satisfied: asn1crypto>=0.21.0 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from cryptography>=2.2.1->pyOpenSSL->lscsoft-glue>=1.59.3->pycbc) (0.24.0)\nRequirement already satisfied: cffi!=1.11.3,>=1.7 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from cryptography>=2.2.1->pyOpenSSL->lscsoft-glue>=1.59.3->pycbc) (1.11.5)\nRequirement already satisfied: pycparser in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from cffi!=1.11.3,>=1.7->cryptography>=2.2.1->pyOpenSSL->lscsoft-glue>=1.59.3->pycbc) (2.19)\n", "name": "stdout", "output_type": "stream" } ] }, { "cell_type": "markdown", "source": "#### Viewing the raw LIGO data\n\nBelow we will view the raw ligo data. You should notice that there is signifant low frequency content (indicated by the large oscilations) and even some DC offset in the data.", "metadata": {} }, { "cell_type": "code", "source": "%matplotlib inline\n\n# Read in the data around GW150914\nfrom pycbc.catalog import Merger\nimport pylab\n\nm = Merger('GW150914')\n\ndata = {}\nfor ifo in ['H1', 'L1']:\n data[ifo] = m.strain(ifo)", "metadata": { "trusted": true }, "execution_count": 13, "outputs": [] }, { "cell_type": "markdown", "source": "##### Entire 32 seconds of data round GW150914", "metadata": {} }, { "cell_type": "code", "source": "for ifo in data:\n pylab.plot(data[ifo].sample_times, data[ifo], label=ifo)\n\npylab.ylabel('Strain')\npylab.xlabel('GPS Time (s)')\npylab.legend()\npylab.show()", "metadata": { "trusted": true }, "execution_count": 14, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "##### Zoom into 1 second nearby to GW150914\n\nWhen you just zoom in to one second around GW150914, all you can see is the low frequency behavior of the noise, since it is much louder than the higher frequency noise (and signal).", "metadata": {} }, { "cell_type": "code", "source": "for ifo in data:\n # The time slice method can give just a portion of the time\n # series using GPS start and stop times\n zoom = data[ifo].time_slice(m.time - 0.5, m.time + 0.5)\n pylab.plot(zoom.sample_times, zoom, label=ifo)\n\npylab.legend()\npylab.show()", "metadata": { "scrolled": true, "trusted": true }, "execution_count": 15, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "#### Highpass the data to remove the low frequency content\n\nBelow we apply a highpass filter to the data to suppress the low frequency noise of the instrument. We can see that this brings the dynamic range of the data largely into the same range. However, there is clearly still some dominant frerquencies. To equalize this, we would need to apply a whitening filter.", "metadata": {} }, { "cell_type": "code", "source": "for ifo in data:\n # Apply a highpass filter to the data. This suppresses the low\n # frequency content of the data. We choose here a finite-impulse-response (FIR).\n # Options\n # 1) highpass frequency\n # 2) half sample length of highpass filter \n #(higher value will give less ripple in passband)\n high_data = data[ifo].highpass_fir(15, 512) # Highpass point is 15 Hz\n \n # The time slice method can give just a portion of the time\n # series using GPS start and stop times\n zoom = high_data.time_slice(m.time - 0.5, m.time + 0.5)\n pylab.plot(zoom.sample_times, zoom, label=ifo)\n\npylab.legend()\npylab.show()", "metadata": { "trusted": true }, "execution_count": 16, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "#### What is the power spectral density (PSD) of the data ? \n\nUnderstanding how the noise power varies over frequency is important for LIGO data analysis. In this \nsection we use a version of [Welch's method](https://en.wikipedia.org/wiki/Welch%27s_method)\nto estimate the power spectral density of the data.\n\nNote that there is a significant amount of noise at low frequencies (orders of magnitude). Note also that there is a large amount of power at a few specific frequencies. The causes for these include 60 Hz power line noise, violin modes of the hanging mirrors, and various other instrumental resonances. The downturn in power before 2 KHz is due to a low pass filter that was applied prior to resampling the data to 4096 Hz.", "metadata": {} }, { "cell_type": "code", "source": "for ifo in data:\n # This estimates the PSD by sub-dividing the data into overlapping\n # 4s long segments. (See Welch's method)\n psd = data[ifo].psd(4)\n \n # Note that the psd is a FrequencySeries!\n pylab.loglog(psd.sample_frequencies, psd)\n \npylab.ylabel('$Strain^2 / Hz$')\npylab.xlabel('Frequency (Hz)')\npylab.grid()\npylab.xlim(10, 2048)\npylab.show()", "metadata": { "trusted": true }, "execution_count": 17, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "#### Whitening the data\n\nTo visualize deviations from the noise, it is useful to \"whiten\" the data within some frequency range. In this way excesses in the data are visible as deviations from zero. Whitening takes the data and attempts to make the power spectral density flat, so that all frequencies contribute equally.\n\nBelow we will whiten the data, and then bandpass the result to focus on a specific frequency range.", "metadata": {} }, { "cell_type": "code", "source": "# Whiten the data\nwhitened = {}\n\nfor ifo in data:\n # This produces a whitened set.\n # This works by estimating the power spectral density from the\n # data and then flattening the frequency response.\n # (1) The first option sets the duration in seconds of each\n # sample of the data used as part of the PSD estimate.\n # (2) The second option sets the duration of the filter to apply\n whitened[ifo] = data[ifo].whiten(4, 4)\n\n zoom = whitened[ifo].time_slice(m.time - 0.5, m.time + 0.5)\n pylab.plot(zoom.sample_times, zoom, label=ifo)\n\npylab.ylabel('Whitened Strain')\npylab.xlabel('Time (s)')\npylab.legend()\npylab.show()", "metadata": { "trusted": true }, "execution_count": 18, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "We will now bandpass the data around GW150914 between 30 - 250 Hz. This will remove frequency ranges which won't contribute to this kind of signal and make it possible to see the signal in question.", "metadata": {} }, { "cell_type": "code", "source": "for ifo in whitened:\n # Apply a highpass filter (at 30 Hz) followed by an lowpass filter (at 250 Hz)\n bpsd = whitened[ifo].highpass_fir(30, 512).lowpass_fir(250, 512)\n \n zoom = bpsd.time_slice(m.time - 0.5, m.time + 0.5)\n pylab.plot(zoom.sample_times, zoom, label=ifo)\n\npylab.grid()\npylab.legend()\npylab.show()", "metadata": { "trusted": true }, "execution_count": 19, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "#### Focus the Plot around GW150914\n\nIn the above plot we can see that there is some excess signal that sticks above the noise. Let's zoom around this time now, and align the two time series.", "metadata": {} }, { "cell_type": "code", "source": "pylab.figure(figsize=[15, 3])\nfor ifo in whitened:\n # Apply a highpass filter (at 30 Hz) followed by an lowpass filter (at 250 Hz)\n bpsd = whitened[ifo].highpass_fir(30, 512).lowpass_fir(250, 512)\n \n # We'll choose a tighter zoom here.\n zoom = bpsd.time_slice(m.time - 0.2, m.time + .1)\n pylab.plot(zoom.sample_times, zoom, label=ifo)\n\npylab.grid()\npylab.legend()\npylab.show()", "metadata": { "trusted": true }, "execution_count": 20, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": "pylab.figure(figsize=[15, 3])\nfor ifo in whitened:\n # Apply a highpass filter (at 30 Hz) followed by an lowpass filter (at 250 Hz)\n bpsd = whitened[ifo].highpass_fir(30, 512).lowpass_fir(250, 512)\n \n # Now we'll specially align the L1 data. Where does this come from?\n # (1) We already knew that the signal was ~ 7 ms separated between detectors.\n # (2) The two LIGO interferometers are roughly aligned so that the output of\n # one is a sign change of the other for *many* sky locations. This is an\n # approximation and doesn't hold for all possible source sky locations.\n # A later tutorial will show how to estimate this alignment more precisely.\n if ifo == 'L1':\n bpsd.roll(int(bpsd.sample_rate * .007))\n bpsd *= -1\n \n # We'll choose a tighter zoom here.\n zoom = bpsd.time_slice(m.time - 0.2, m.time + .1)\n pylab.plot(zoom.sample_times, zoom, label=ifo)\n\npylab.grid()\npylab.legend()\npylab.show()", "metadata": { "trusted": true }, "execution_count": 21, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "We can now see that there is a coherent signal that matches in phase for a few cycles, which ends at about 0.44 on the plot above. ", "metadata": {} }, { "cell_type": "markdown", "source": "#### Visualizing excesses in the data with a Q-transform plot\n\nA common way to visualize gravitational-wave data is with a time-frequency representation known as the [constant-Q transform](https://en.wikipedia.org/wiki/Constant-Q_transform). It is similar to a standard spectrogram made with short-time Fourier transforms with the advantage that frequency bins are more sparsely spaced at high freqeuncys.", "metadata": {} }, { "cell_type": "code", "source": "for ifo in whitened:\n # We'll choose a tighter zoom here.\n zoom = whitened[ifo].time_slice(m.time - 5, m.time + 5)\n \n # The qtransform method returns a vector of the sample times, frequencies, and a 2-d vector of the \n # power in each time-frequency bin. The free parameter is the choice of the Q-value. Larger Q-values\n # are generally more appropriate for viewing long duration features of the data and vice versa. \n \n # The options here:\n # (1) The time spacing for the output image (i.e. 1 ms in this case)\n # (2) The number of frequency bins in the output, logarithmically spaced\n # (3) The qrange to maximize over. We'll pick a constant at 8 here\n # Typically higher values will be more appropriate for longer duration\n # signals\n # (4) The frequency range to output\n times, freqs, power = zoom.qtransform(.001, logfsteps=100,\n qrange=(8, 8),\n frange=(20, 512),\n )\n pylab.figure(figsize=[15, 3])\n pylab.pcolormesh(times, freqs, power**0.5)\n pylab.xlim(m.time - 0.5, m.time + 0.3)\n pylab.title(ifo)\n pylab.yscale('log')\n pylab.show()", "metadata": { "trusted": true }, "execution_count": 22, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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\n", 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" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": "The GW150914 signal is relatively clear in the qtransform output, which is why the Q-transform can be a powerful diagnostic. However, note that quieter signals, especially those with lower masses than GW150914 had, will be harder to spot visually. In practice, we use a technique called [matched filtering](https://en.wikipedia.org/wiki/Matched_filter) to find signals in our data.", "metadata": {} }, { "cell_type": "markdown", "source": "## Challenge Problem\n\nUse the methods demonstrated above to see if you can visually spot a chirping signal in these data sets. Which of them contain a signal? Which contains just Gaussian noise?\n\nInformation that may be useful:\n\n* Signals are all placed between 100 and 120 seconds into the frame file.\n* Try whitening the data, then plotting the qtransform.\n* Each file starts at gps time 0, and ends at gps time 128\n* The channel name in each file is \"H1:TEST-STRAIN\"", "metadata": {} }, { "cell_type": "code", "source": "# Download the challenge set files\nfrom six.moves.urllib import request\n\ndef get_file(fname):\n url = \"https://github.com/ahnitz/odw-storage/raw/master/{}\"\n url = url.format(fname)\n request.urlretrieve(url, fname)\n print('Getting : {}'.format(url))\n\nfiles = ['PyCBC_T2_0.gwf', 'PyCBC_T2_1.gwf', 'PyCBC_T2_2.gwf',\n 'PyCBC_T2_3.gwf', 'PyCBC_T2_4.gwf']\n\nfor fname in files:\n get_file(fname)", "metadata": { "trusted": true }, "execution_count": 32, "outputs": [ { "text": "Getting : https://github.com/ahnitz/odw-storage/raw/master/PyCBC_T2_0.gwf\nGetting : https://github.com/ahnitz/odw-storage/raw/master/PyCBC_T2_1.gwf\nGetting : https://github.com/ahnitz/odw-storage/raw/master/PyCBC_T2_2.gwf\nGetting : https://github.com/ahnitz/odw-storage/raw/master/PyCBC_T2_3.gwf\nGetting : https://github.com/ahnitz/odw-storage/raw/master/PyCBC_T2_4.gwf\n", "name": "stdout", "output_type": "stream" } ] }, { "cell_type": "code", "source": "import pycbc.frame\n\n# example of reading the strain in (note this is the same as in PyCBC tutorial 1)\nts = pycbc.frame.read_frame('PyCBC_T2_0.gwf', 'H1:TEST-STRAIN', 0, 128)\npylab.plot(ts.sample_times, ts)\npylab.show()", "metadata": { "trusted": true }, "execution_count": 33, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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qZr6BN76Gqrr+ibX5CieKSrHOYLz798vzUR6meTBWjIoRAB8AWK+Uej34IgWmsKSsykp+RsMSQz3CBXCcUJ8v3mGY/99gIhevXZi0tNDni33PDP1oQa7P9/R8fmaVL5pRR95bbuPQD5wowuPfO2pP2gUGAF6Z4bizz5SVu3Vvwef+5bAiBTP68+yKDjyzXpmxAf800Qz/NWcv7v1yOe5y6TA3CmjjXJZsmLJil27rsLRcVQlEAEzf3MUXbUjpyrwjuOezrCrrH2lyvXTaaRfyNo9N033dfZiq9vc1incHTup/t/yZ0+DuZHEZ/vFd5d/t8jf/QJ8XZ/vVj7L/WGFAt4csNQjCl7+pN4+m8r2X/W++bpx56JtV+E+m7wl7VrCixn4BgFsBDBKRlc5/l1mwXb88/WNOlZX8XpimP1FA7+QP1Ia9x3SvwANfnYsJzolMgU4iMTqpgmW2PD+5pS8yxmVicrYjdVRUqp971xt1tO9YERZuqawxfrlkp181ViP+zvCbMGcrJhksb+DOfex2x6eme4w3z9l1FO//sb3i8ZhJK3G7zsiKf09djz4vzq7yXDAjJI6eLvFo0SgFLNjime7Yc/Q0PvZysfd31Efmun0Y/Vm24esvTw/u9n0Ltx4wTKcFQvvtev17FhYGMEDBH18trXpuGVWYgrnI+SPozlOl1B+IwJDOOz5aigMnHEFq2po9+CbL3C3MgumJBypPluwdhzHynYV44rJOQW3PiNbED/RuLUYpAqu51v73HD2NujUT4R7fp66pGihda/y+nC4pw/0W1XCD8f78bXj7lnMrHuvX2jy5d2Tq8ad5/vA3Kz2e22/Qr+N+QQnWWGeLrf9Z3vvIThQFlrLxtiRzYUkZElwGE1g1USxQxwtLvPZJ7fEyczgcYvYOSnNdJj484zb2OJS0OKtNhx7vZRkCwDFczr0pHg7PR+CmBkPfmI8FYwdZ+vcoKVMh7fw0K5Qrgn69zFxLAtCf4q6X3jKT7ikrD7zi4I02X8JKHZ+ajsEdG1c8NjO3IpSrTvZ/eU5F/4eecK/k6i5mA3u08DXpafTnxk1XPcEMx3Itia8OyFApOF4U8FR3f5wsLsUyE7VhI6/M2IBHL+1oYYkqHT1d4n3BKLfHZvsdrn7bfBrRPZWmJ3P9Po/lnIMVykXyZvk54mT+lgPo1z4tJGXxFtSjAQN7gGb5WBzIqqbYhr3HTU8UitZFoUJhzNcrsTeIRdMmzNkaksCePnaq5dvUuM/0tIJ7msxOtBVDq6OYXAQskg6cKEJhSZmpGpFV+r0cfQv5G3EfhhkqwQR1jb9Dz6wK2tG8xogZuy3s4KTQYGAPwOeLd0S6CGSBke9G5jZ1VowKiiRvS1dbtbYOBSemAnu03O4s3LNZKTRCkdqo7ob9d36ki0CIscB+pcU32AjUfB+LbBFVV4GsvV/dhOMubDEV2CM9NpSIKFiT/BjeGqiYCuxERLHukMHSC1ZiYCciCqOpIZzspmFgJyIKo71hmInOwE5EZDMM7ERENsPATkRkMwzsREQ2w8BORBRG4s/tnwLEwE5EZDMM7ERENsPATkRkMwzsREQ2w8BORGQzDOxERDbDwE5EZDMM7ERENsPATkRkMwzsREQ2w8BORGQzDOxERDZjSWAXkQ9FZL+I5FixPSIiCpxVNfaPAQy1aFtERBQESwK7UmoegENWbIuIyM5Cv2hvGHPsIjJKRLJEJKugoCBcuyUiqnbCFtiVUhOVUhlKqYxGjRqFa7dERNUOR8UQEdkMAzsRkc1YNdzxKwCLAHQQkXwRucuK7RIRkf8SrNiIUuomK7ZDRETBYyqGiCiMJAzjHRnYiYjCSKnQ74OBnYjIZhjYiYhshoGdiMhmGNiJiGyGgZ2IyGYY2ImIbIaBnYgojDiOnYiI/MbATkRkMwzsREQ2w8BORGQzDOxERDbDwE5EZDMM7EREYRX68Y4M7EREYRX6dXsZ2ImIbIaBnYjIZhjYiYjCiHdQIiIivzGwExGFERcBIyKymQMnikO+DwZ2IiKbYWAnIrIZBnYiIpthYCcishkGdiIim2FgJyKyGUsCu4gMFZGNIrJFRMZasU0iIgpM0IFdROIBTAAwDEBnADeJSOdgt0tERIGxosbeC8AWpdQ2pVQxgK8BjLBgu0REFAArAnsLAHkuj/Odz1UhIqNEJEtEsgoKCizYLRFR7EmpkRDyfVgR2PVWPvBYv0wpNVEplaGUymjUqJEFuyUiij39zkoL+T6sCOz5AFq5PG4JYLcF2yUiogBYEdiXAWgvIm1EJAnAjQB+smC7REQUgKCTPUqpUhG5D8AMAPEAPlRKrQ26ZERENiRhuJm1JVl8pdQ0ANOs2BYREQWHM0+JiMJIeY4tsRwDOxGRzTCwExGFUThy7AzsREThxHueEhGRvxjYiYjCKAwVdgZ2IiK7YWAnIrIZBnYiIpthYCciCqOSsvKQ74OBnYgojBZtPRjyfTCwExHZDAM7EVEYiXDmKRGRrYQhrjOwExHZDQM7EZHNMLATEYURlxQgIiK/MbATEdkMAzsRkc0wsBMR2QwDOxGRzTCwExGFEWeeEhHZDIc7EhGR3xjYiYhshoGdiCiMuAgYERH5LajALiLXichaESkXkQyrCkVERIELtsaeA+AaAPMsKAsREVkgIZgPK6XWA+EZl0lEROaELccuIqNEJEtEsgoKCsK1WyKiasdnjV1EMgE01XnpCaXUj2Z3pJSaCGAiAGRkZCjTJSQiIr/4DOxKqYvDURAiouqBSwoQEZGfgh3ueLWI5APoA2CqiMywplhERPYUjrEmwY6K+QHADxaVhYjI9rgIGBER+Y2BnYjIZhjYiYhshoGdiMhmGNiJiGyGgZ2IyGYY2ImIwog32iAiIr8xsBMR2QwDOxFRGAkXASMispeW9WuGfB8M7EREYXRL79Yh3wcDOxFRGKUmJ4Z8HwzsRERh1LBOjZDvg4GdiCiMzmlVL+T7YGAnIrIZBnYiIpthYCcishkGdiIim4mpwN61RWqki1AthaOzh4isE1OB/cu7e0e6CJY7o2GtSBfBp+b1kiNdBCLyQ0wF9nAM7A+3uy5sE+ki+KRUpEtAZA8jzmkelv3EVGCvDlo3CK4G/+wVnS0qCYVCz9ZMa2neuaVnpItgWt92DYP6/MAOjQAA56U3sKI4PjGwR5l5/7goqM+n1oytVk2dGgmRLkLAru7Rwu/PfP+3C0JQkujUr32a4WsXnpmGYWc3C2NpghNraWAG9gjr2y4NHZumVHmuS3PrO4n/dWUXy7cZrKvOaY5Hhpxl+Pr4a87GmmeH4OtR0fmlSowPw61wnH66L7gLwiWdm1hUEvPcU3h39E0PexmiRbjTmQzsYdSsrmcn5JmN63iMOqlfK6nK41eu7WZ6H0Yn0BXdA8/theqkfOPGHrioY2MA+imoK89pjpTkxGo3KufTO3t5PNfB7eIfC65ya9HUSIzDA4POjFBp9H385/PCur9wxfdqH9jrmkxdPDcidDXeK92CboPaVQN7SrL5dEUdg/e6b9PIlheGeTynvJyOobx/Y62k6EjT1K/leY64Xmxb1PNvfW1vKQoA6NTMs8VWIyHer324a9eoTlCfd9e9VT2f64rrXZAzLMoxt02r7deIsulj+uGzuzwvmAM7NDa9jZE9W5p+r7tw3OfUVbUN7D/fdyE2jRuGxHhzh+C2PukhK0vfM71/0f3RrlFtw9f0AgZQtRMrIT4Or13X3es+tLx4l+ap2Pi854UgWA1rJyHd4Eu78ulLKn5+9089LU+HnN/GM/CIzrcyLaVyhT6j42okyeQ5Z8ZfLmyDYV2bejy/+tkhVR6Pubi9ZfsEHH+jKfeaSw+l1EhA+8Z1cGvvMyqe0wt0ei1aq3Rsmorz2wTXAfra9d3x76vPtqhEoRXUGSYir4jIBhFZLSI/iEjI28x6X7zXr9cPRM29nChnt6yLpIQ4dPaRz35kyFlY/Nhg/wrpYtkTFwf8WU0rnTSF0e+spU2apHouDapccir/d+u5+Pyu8zHv0Ys8OrFGnuu9ZqJdPB6/rBOSEuLQw+KRHtlPXYK5j1Z2Isc5o0C/9mmo55KmSoiLw0/3Xejx+SeHdwp43+NHeqa93FtUniqPa+dmqT5HULi3f2Y+2N9k6aq6Z0BbPHm5/igo96HByYnxyB0/3Oc237q5B2onmWsdpPlYflYL1E9d0RkzHxqAlvW917Cv6elI3fQ/q1GV5+/om46mqVW/y0ZtyORE45Dmb61Z7zt2fUZLPBMDI8+CrTrMBNBVKdUNwCYAjwVfJO8+ubMXsp+sGiyN/mALxg7yub0JN/fwGghSayaiqfME7dDE/zxnTZNfEleDO1VtHnZpXtfjPdcYNAu1E97XmP9LuzTFhe3T0DqACVJm8oTXndvSVM1USxFdn2F8MUlKiMP0Mf3w7p/ONVW+YJrMWtrFNXU1pItnx2PzujXxyKUdcHm3ZkH1X/Ru2wDt3c4rrUWkdao3SvEeQI36QGr5ee69dl13XN6tOWY82B+PXtoBAJCanIBlT1xseFH4/K7zDbdXu0YCcscPx/UZrUztX/s93L/O7oMLHO81l63+28B2pi5oevS+YwnxcfjzBcZzT4zO0TBnYoIL7Eqp35RSpc6HiwEE/o0yKTkxHg3r1PBaGwccyw+4N6Ff1UkxpCQneh1b2r1lZW10xoP9Mf8fF6Gtl3SHuzi3v+i5Z9TXfV/Hpilom+bY7ohzWmD9c0N9bttb2iXSbuzVGpt08vXuUpITseWFYbj3Iu+dah2bpqK2ztBIqzt269VKwqpnhuC927xfRDo0TUHjlGS8dXNP1EysGkBvOM9cIAMcuWpXSfFxqJkUj43jhuIjZ8ee+znki3Z+vniNZ9pAr2NWk+BMa7WsXwuDnJ3azevVrLiwdG/pWcG40KW/INVEX5CZP5d7Ra11g1pe+3mqfNYlhA7u2BgPDPadggpk9vdZTRx9Fu7po2iZpW1ljv1OAL9auD2vLnNJH+h9udumVe0sOqNhLdNXec3654Z6fPFaNaiFWQ8N0O3QzHxogMdztZIScL9zJMA/hnaokmd0NX1Mf8x+ZGDFYzM1fb3cbzhph9PbYZ08uo/u8+elV17gEuLjLPldzKYQfKlbM9FreW7qZXzPSgXHhdlMCu7RSzvg0SEdqjzXsI6jpVAjIT7gu9nPfngg4CzHcyO64IPbMypec09z+OOb0X0q+mP05h8se9L/tKOZ1k7fM9N8XsBdzyfNB3ech2SXi67R0fzlfs90niu9NaomjeqDl0aejWkP9MN/bzyn4vluLhXBlAjO0fAZ2EUkU0RydP6NcHnPEwBKAXzhZTujRCRLRLIKCgqsKb0XWo1D06dtQ8NrvtHzRsFVRHCtTh76zMZ1sOqZIbi4U9Wm+8NDOiB3/HBc3aMlrurRIuCmoRnB1GCNAmOzujVxp5fmp+bufpXv0dIA56U3wDU9W+D5q7pWvLZx3FB8ZcGED/fY+/P9F+KlkaHt3HpsWEePmrC/h/xvA9uhZmI8bu7VGgnOdNXZLRy1YatbILf1ScfgTubGsJ/R0HsLsEZCPIZ2bYrHhnWs8vd0fV3jq0WtefOmHqbep8f1z//gxcbzIfzRvnHVCuGmccMwRWdSWf3aSbjhvNaoXzsJ7Rvrp2jHXd3VrxFtVvK5V6WU18uwiNwO4HIAg5WXKrFSaiKAiQCQkZERsuGck0f3QZfmqWEbKhcnQLnLb1O3ZiL+OrAdMtfvC8lEI7Ncg57RCBNXq54egniDESYiwNNXdMbkrDwcLyrVfQ8ADDu7GVblHcXS3ENVRoq8fr2jRvPUlBwAwQ/dM9K2UR20bVQHh08WW7pd15qz3onrbzDOSG+A9c9XTbVNvO1c9HlxdgCl8z4c1R+uwxO1GvlZbvl/EcE9A9r53Fa7xvrDK7W0UrxLfmlkz5a4qGMjrNt9zHRZFaoGdqP9uTLTKpz50ACc+fg0lDq/1EkJvpMaRsc/Pk6QUiMBxwuNvzOhElT0E5GhAP4JYIBS6pQ1RQrcxZ2aeOTLn768M577ZZ3jQZhmB2gnbYK/yVE3k0f3wanisqDLM32M71EXdXXGahvxFsi+MUi9hFMgWZ2XR3bD9S658WD41erVAAAL+UlEQVTHfderlYi0Okl45oou6NI8FYNe+z2o7en50/n6aT1fOjdLxbo93oNoqwa18PWo3lX6mPxh9Lm+7dJw5wVtcM+AthXPveYcfaIF9iYpjtr+vRe1w6OXdnR+riGmrNytu805jwwMqmbsXtFY/PhgnPRSgfGla4tU5Owyf5EKhWBz7G8BSAEwU0RWisi7FpQpCJ4Rx1SuOoA9/XVAO/RrnxbUCAxfzktvgAF+5kS1ETx/csnla3lGf2qWurnYyKb0w6puzUTdobVmJcbHIevJS3BF9+ZoG+BFomGdJJzVpE5F6mdwx8bo1aYBvvtrH8x9ZKDuMFgzJt1TmQbzNna8d9uGAY3qAow7kOPjBE9f0RlNUo3327phLcx79CI8dEll/8PL13ZHp2apfs3Cdqedvu4X/qSEOGx+YRi2v3gZAMcwTl9pKW+0tJDrxU1rwZppPVshqBq7Uipi84NbuMx6s6oPsU1abbx/ewYGm6hdNU5Nxmd3nY9xWmvARfvGdZCanICH3DrGrJD5UH9s3HvC8PW6NRMrcvhP/7hW9z1/G+i7KT3x1nPx31mb8c7crR6vabWjhDCuleKqcUoN7D9e5PN9tZLidVs8w89uhqlr9gBwzBrddeS06X3r/8aVV0x/O+i9SYyPw28PVnbIf3CHNdPfU1yGwobqLxjoRUfjPgw3KSEOv/69H3IPnAxqu0bMTlT0RhuWObhTE49+tJvPb43h3ZrpDl0OheiYsx2A2/uk418/ewZVd5d3a4Zfc/bigcHtUVxa7vW9KckJATfB/zm0Y8XPtWskYPWzlwa0HV/ObJyCMw06a8y60sSa0MmJ8YYTUMZf0w3TcvYEVaMNRpfmqdi/sQAi3pdbiDe44k+4pScmOH9+dPIqTM7O133fNT1bYMn2Q34NbzXyv5t6eF2SWctpR2KxrmgR6kypdjrUTNS/4Ae/fc/zzfW5cAV1IIaXFIiLE1NLvqYkJ+LTO3uheb2aSE+zfty3lk/3d2q7lSvd9W7rCLDhWsS/bq1EjB7QruKkHewcgeQ+OzAc9GqG2nj3+wd7Nigbuq2ZM6SLYzq++7BWALjhvNbIHT8cTVKTMTzIJWav7N7c62JmKcmJWPbExQHNatQmzLxybTfdIbfeRHrIrL+0tZ36t2+E/97YAxd3aoJW9WtW1LhHntvCsAUvInjisk740eRSCGZp5324vn9mxGyNPVrcO+hMnCwuxS1+dmQ9e2UXPGvRUrrPj+jqMXsRcAz5tOJk88guuD2+96IzcfP5rdHQxxTzcEmMj0Pu+OEoL1f497QNVV57yW3JgEs6N8G2f1+GOB8d3S18LHhlBV8zTI30btswpENoo0n92klYMHYQGqfUQGJ8HN53GaOf869LUTMxHg8Mbm84EuXu/m11nw9Gwzo1sOH5oahhYgRNuDCwByk1ORHjrorOhYE+DDIn6x7qjEJfXJxETVB3FRcn+PTOXmiTVhv9Xp4DAEjU+fL5CupA5QqOTXU6G4OZ9GMHz4/oEvBFKRBGq2lqLfjGKcnwla189orOqGPhrTaTE0MzhDdQ0XOJIb/d55yG39zksrFWjXeOtJudrSMzOcv+ZzVCqwa18PAljpEKZifOuLu19xn46I7zdBcEq5WUgPdvy9D5VPR686YeyHwosMXH3N3aJx1Du8bO3ZAA4I4L2uhOMrQLW9XYq9tNl6/q0cLjZgZmBDpVPVpc0tlz1IEv9150Jq7o3jzgfpa4OKm4KYiecKRqrKRN5df6hvxdepiiW0wHdqvCk7aSX8/W+gt0RYN3bulZMRsu0mKx5h8XJyHpPI91WhrKaBloik0xHdgD0apBTeQdOu32XC3MGNPfkmFtoRINN/6N1hEUr17XPSIjclxp+w/kBtfRwIpx3BQ9ql1gn/ngAJSUeY5nj8V7SpJDNORK69dOct6RKzovfrFA6xQN5Z2UqotqF9iTE+Ojrgc7Wo3s2RKZ6/dhtIlFn6zw8shuKDjhe0ZptDKzYBQZu7lXa7SoXxMDq/koIytUu8BO5tWtlYgvLVheV/PzfRdi9a4jhq9f78cNKsgar17XHa//timgm03omTSqN7YUGC954U1cnOAiP24uTcZYxahGxl11Nrq1rIv0tMC+xA85hwwGuiTy2S3r+j2Ri0KrZ+v6+Pwv51uWYz+/bUP+jV2MH3k2ujRP9broWSjYosZ+busGqJEQh9EmFrcyo2freli+07hmGat6tWmge/Nns27vm47bLVwKgcju+rVvhH7tw59askVgr1c7ERvH+b6/plmTR/dFWZQMLSQi8pctArvV4uOkyh1eiIhiSUzn2JMtunkxEZGdxHSNfdKo3pixdh9SLVzMh4go1sV0YG/bqA7+OjC4e1MSEdlNTKdiiIjIEwM7EZHNMLATEdkMAzsRkc0wsBMR2QwDOxGRzTCwExHZDAM7EZHNiIrAHaBFpADAjgA/ngbggIXFCbdYLn8slx2I7fLHctkBlt8qZyilfC4XGZHAHgwRyVJKZUS6HIGK5fLHctmB2C5/LJcdYPnDjakYIiKbYWAnIrKZWAzsEyNdgCDFcvljuexAbJc/lssOsPxhFXM5diIi8i4Wa+xEROQFAzsRkc3EVGAXkaEislFEtojI2EiXxxsRaSUic0RkvYisFZG/O59vICIzRWSz8//6kS6rERGJF5EVIvKL83EbEVniLPskEUmKdBmNiEg9EflWRDY4/wZ9YuzYP+g8b3JE5CsRSY7m4y8iH4rIfhHJcXlO93iLw/+c3+PVItIzciU3LPsrznNntYj8ICL1XF57zFn2jSJyaWRK7V3MBHYRiQcwAcAwAJ0B3CQinSNbKq9KATyslOoEoDeAe53lHQtgllKqPYBZzsfR6u8A1rs8fgnAf5xlPwzgroiUypz/ApiulOoIoDscv0dMHHsRaQHgAQAZSqmuAOIB3IjoPv4fAxjq9pzR8R4GoL3z3ygA74SpjEY+hmfZZwLoqpTqBmATgMcAwPkdvhFAF+dn3nbGpqgSM4EdQC8AW5RS25RSxQC+BjAiwmUypJTao5Ra7vz5OByBpQUcZf7E+bZPAFwVmRJ6JyItAQwH8L7zsQAYBOBb51uiueypAPoD+AAAlFLFSqkjiJFj75QAoKaIJACoBWAPovj4K6XmATjk9rTR8R4B4FPlsBhAPRFpFp6SetIru1LqN6VUqfPhYgAtnT+PAPC1UqpIKbUdwBY4YlNUiaXA3gJAnsvjfOdzUU9E0gH0ALAEQBOl1B7AEfwBNI5cybx6A8A/AJQ7HzcEcMTlZI/m498WQAGAj5yppPdFpDZi5NgrpXYBeBXATjgC+lEA2Yid468xOt6x9l2+E8Cvzp9jouyxFNhF57moH6spInUAfAdgjFLqWKTLY4aIXA5gv1Iq2/VpnbdG6/FPANATwDtKqR4ATiJK0y56nLnoEQDaAGgOoDYc6Qt30Xr8fYmZc0lEnoAjrfqF9pTO26Ku7LEU2PMBtHJ53BLA7giVxRQRSYQjqH+hlPre+fQ+rdnp/H9/pMrnxQUArhSRXDhSXoPgqMHXc6YGgOg+/vkA8pVSS5yPv4Uj0MfCsQeAiwFsV0oVKKVKAHwPoC9i5/hrjI53THyXReR2AJcDuEVVTviJibLHUmBfBqC9c2RAEhwdGD9FuEyGnDnpDwCsV0q97vLSTwBud/58O4Afw102X5RSjymlWiql0uE4zrOVUrcAmAPgWufborLsAKCU2gsgT0Q6OJ8aDGAdYuDYO+0E0FtEajnPI638MXH8XRgd758A3OYcHdMbwFEtZRMtRGQogH8CuFIpdcrlpZ8A3CgiNUSkDRwdwEsjUUavlFIx8w/AZXD0UG8F8ESky+OjrBfC0URbDWCl899lcOSqZwHY7Py/QaTL6uP3GAjgF+fPbeE4ibcAmAygRqTL56Xc5wDIch7/KQDqx9KxB/AvABsA5AD4DECNaD7+AL6Coz+gBI5a7V1GxxuOdMYE5/d4DRyjf6Kt7FvgyKVr3913Xd7/hLPsGwEMi/Sx1/vHJQWIiGwmllIxRERkAgM7EZHNMLATEdkMAzsRkc0wsBMR2QwDOxGRzTCwExHZzP8DoKJePijfTVMAAAAASUVORK5CYII=\n", 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