{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "
\n", "**This is a fixed-text formatted version of a Jupyter notebook.**\n", "\n", " You can contribute with your own notebooks in this\n", " [GitHub repository](https://github.com/gammapy/gammapy-extra/tree/master/notebooks).\n", "\n", "**Source files:**\n", "[detect_ts.ipynb](../_static/notebooks/detect_ts.ipynb) |\n", "[detect_ts.py](../_static/notebooks/detect_ts.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Source detection with Gammapy\n", "\n", "## Introduction\n", "\n", "This notebook show how to do source detection with Gammapy.\n", "using one of the methods available in [gammapy.detect](http://docs.gammapy.org/dev/detect/index.html).\n", "\n", "We will do this:\n", "\n", "* produce 2-dimensional test-statistics (TS) images using Fermi-LAT 2FHL high-energy Galactic plane survey dataset\n", "* run a peak finder to make a source catalog\n", "* do some simple measurements on each source\n", "* compare to the 2FHL catalog\n", "\n", "Note that what we do here is a quick-look analysis.\n", "Producing a real source catalog for Fermi-LAT, [HGPS](https://www.mpi-hd.mpg.de/hfm/HESS/pages/home/som/2016/01/) or CTA is a more elaborate procedure.\n", "\n", "We will work with the following functions and classes:\n", "\n", "* [photutils](http://photutils.readthedocs.io/en/latest/) and specifically the [photutils.detection.find_peaks](http://photutils.readthedocs.io/en/latest/api/photutils.detection.find_peaks.html) function.\n", "* [gammapy.image.SkyImage](http://docs.gammapy.org/dev/api/gammapy.image.SkyImage.html)\n", "* [gammapy.image.SkyImageList](http://docs.gammapy.org/dev/api/gammapy.image.SkyImageList.html)\n", "* [gammapy.detect.TSImageEstimator](http://docs.gammapy.org/dev/api/gammapy.detect.TSImageEstimator.html)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup\n", "\n", "As always, let's get started with some setup ..." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from astropy import units as u\n", "from astropy.convolution import Gaussian2DKernel\n", "from astropy.coordinates import SkyCoord\n", "\n", "from photutils.detection import find_peaks\n", "\n", "from gammapy.image import SkyImageList\n", "from gammapy.detect import TSImageEstimator\n", "from gammapy.catalog import source_catalogs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute TS image" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Load data from files\n", "images = SkyImageList.read('../datasets/fermi_survey/all.fits.gz')\n", "images['COUNTS'].name = 'counts'\n", "images['BACKGROUND'].name = 'background'\n", "images['EXPOSURE'].name = 'exposure'" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "TS map computation took 8.97 s\n" ] } ], "source": [ "# Compute a source kernel (source template) in oversample mode,\n", "# PSF is not taken into account\n", "kernel = Gaussian2DKernel(2.5, mode='oversample')\n", "\n", "# Compute a TS map. 'On' is the raw counts map, 'Background' is the background model,\n", "# 'ExpGammaMap' denotes to the exposure map.\n", "estimator = TSImageEstimator()\n", "result = estimator.run(images, kernel)\n", "\n", "print('TS map computation took {0:.2f} s'.format(result.meta['runtime']))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot images" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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tW1N8tyzSme9x0H2XAnGZ8U+uVDlZWpWzjT0daj+gwFml0lmO1lm8nV7Elw+N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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot sqrt(TS) map\n", "fig_ts = plt.figure(figsize=(18, 4))\n", "ax_ts = fig_ts.add_axes([0.1, 0.1, 0.9, 0.9], projection=images['counts'].wcs)\n", "ax_ts.imshow(result['sqrt_ts'], cmap='afmhot', origin='lower', vmin=0, vmax=10)\n", "ax_ts.coords['glon'].set_axislabel('Galactic Longitude')\n", "ax_ts.coords['glat'].set_axislabel('Galactic Latitude')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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N5TrFM8YGEWE+Fpr/vm3Ln9MmPyZBekXX1YHq4/ZT7Pt48NkRZ9Dof2X2r9v4Re2PiSpf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Rw+ej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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot flux map (in units of m^-2 s^-1 TeV^-1)\n", "fig_flux = plt.figure(figsize=(18, 4))\n", "ax_flux = fig_flux.add_axes([0.1, 0.1, 0.9, 0.9], projection=images['counts'].wcs)\n", "ax_flux.imshow(result['flux'], cmap='afmhot', origin='lower', vmin=0, vmax=1E-9)\n", "ax_flux.coords['glon'].set_axislabel('Galactic Longitude')\n", "ax_flux.coords['glat'].set_axislabel('Galactic Latitude')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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PnGshleEda14eYxQxuI5U4US23jPaPAVgklccH2IG5eizyMCU7RvHT1mdS/hL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\nst/kBpvu70lZMJxfgWOfOUDZWJuGB4n8nNAlxsmSoVK303OWOaslXaO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot number of iterations of the fit per pixel\n", "fig_iter = plt.figure(figsize=(18, 4))\n", "ax_iter = fig_iter.add_axes([0.1, 0.1, 0.9, 0.9], projection=images['counts'].wcs)\n", "ax_iter.imshow(result['niter'], cmap='afmhot', origin='lower', vmin=0, vmax=20)\n", "ax_iter.coords['glon'].set_axislabel('Galactic Longitude')\n", "ax_iter.coords['glat'].set_axislabel('Galactic Latitude')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Source catalog\n", "\n", "Let's run a peak finder on the `sqrt_ts` image to get a list of sources (positions and peak `sqrt_ts` values)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/local/Library/Frameworks/Python.framework/Versions/3.6/lib/python3.6/site-packages/photutils/detection/core.py:241: RuntimeWarning: invalid value encountered in greater\n", " peak_goodmask = np.logical_and(peak_goodmask, (data > threshold))\n" ] }, { "data": { "text/html": [ "Table length=16\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
x_peaky_peakicrs_ra_peakicrs_dec_peakpeak_value
degdeg
int64int64float64float64float64
196522128.763048393-45.212392670786.9619775881
116923257.543796578-44.481805008430.5466752124
133833238.171431899-56.185030668811.0775144301
194335132.164175646-46.149213128110.5063691882
193436133.10541837-46.780991180310.5550153527
139738228.619705559-59.195945340910.9478617214
172444161.339190999-59.727345932915.2158412054
50946290.8241057314.180618473915.3210531504
174946157.300019886-58.32329661610.6092905189
175847155.953257132-57.764787819610.2275638537
93948270.135282158-23.766532991511.3860517586
91649271.270506536-21.716174638710.0442662879
100050266.483508145-28.919529540910.0077744483
123652248.150530438-47.799363107612.9367404988
21873305.21910792540.55777453715.5937483251
127977240.882704747-49.011415236912.6880775192
" ], "text/plain": [ "\n", "x_peak y_peak icrs_ra_peak icrs_dec_peak peak_value \n", " deg deg \n", "int64 int64 float64 float64 float64 \n", "------ ------ ------------- -------------- -------------\n", " 1965 22 128.763048393 -45.2123926707 86.9619775881\n", " 1169 23 257.543796578 -44.4818050084 30.5466752124\n", " 1338 33 238.171431899 -56.1850306688 11.0775144301\n", " 1943 35 132.164175646 -46.1492131281 10.5063691882\n", " 1934 36 133.10541837 -46.7809911803 10.5550153527\n", " 1397 38 228.619705559 -59.1959453409 10.9478617214\n", " 1724 44 161.339190999 -59.7273459329 15.2158412054\n", " 509 46 290.82410573 14.1806184739 15.3210531504\n", " 1749 46 157.300019886 -58.323296616 10.6092905189\n", " 1758 47 155.953257132 -57.7647878196 10.2275638537\n", " 939 48 270.135282158 -23.7665329915 11.3860517586\n", " 916 49 271.270506536 -21.7161746387 10.0442662879\n", " 1000 50 266.483508145 -28.9195295409 10.0077744483\n", " 1236 52 248.150530438 -47.7993631076 12.9367404988\n", " 218 73 305.219107925 40.557774537 15.5937483251\n", " 1279 77 240.882704747 -49.0114152369 12.6880775192" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sources = find_peaks(\n", " data=result['sqrt_ts'].data,\n", " threshold=10,\n", " wcs=result['sqrt_ts'].wcs,\n", ")\n", "sources" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ZMM6Xx2JT3jis+arr5b5pEfGl36djnOMxq/O/N6Li5tCISHQ+xY1jEpHUW/l/\n59xfAPi36TWhRo0aNWocCZiEw9DoIon5dNjRbNrU6ihOchbzOeYwONFKtusj3NdUVFivVyKSUqiy\n7W80g/2+xWFkHsqG/bnltVzmHaqfjSKgrah/pnqELR7GidhOt0lTnO12nlrT76tFHxZnxyIBi2oU\nlPmzCISqZgWqgNuuqUKgWpTB1y0lI1O3lrlzRn1WKIvH5I2tx0qZWW0mPk37ZG01KDU5ErKOY9Ru\nF6l5NkPl+qV9TGnLOfZpssKbj1S9o6h63lTFG2MKWRuVNKI8d6vbyQp2ze2xaXUW8t2I/8VRcjlO\nl/SzRPMdGyI7SyRtcQLcdzoRVZlhgdVXVUYBmhMDAKwWyzhYTKLDYI/vBoAdAN40vSbUqFGjRo0j\nAZNwGE+j3zGAW7z3h8AlZHJkMlOjFazLqPL23MzDVXQMOYpKKZZZX2IplrWXKMuqBSwrt5zlmJLV\njoBMxciHZGrDyssg1FM0KCqCtSe5lKGpfe1Yxc+urgaqjFPASv/MEqWt9RAcybVX4YAURXYbLFgp\nRauc/qyon9qMUtoP5L2gCw5vJZwiR2uV8meMejMHNzIVFQ5D+jZn+lkRzddy1ouiovEAey2zXkUb\nOeTyW1B5ug902dwWKyoAj19Lp2g50srrt5qhH+W9mDNnDmNpKfnNRgZWNF8Bmx3r+cA6R0vHYjlq\nalhmz2zmbq1DAtbLyX0znbtO6f2/ddwR59wHDzYWyTSQKbbkBE2GbDCOg65HBhRn4bPsrwUsZmAb\nc8taB0hEBtojNEKeZRVoEUCZDwC3JWuTIVLQSlqe3Oybogcj+wjwwNdiELak4Qk0VJsLbxjLy+E3\nl8/PWYprDt3CRyuMg6VQ1IrWVrOoSCzzEakiJPge3Y/DASUwEoLCUJILhnExiKRVHxMIvAHLhrFG\n30KLi6zFh8cgGzZo35HxuNhnM53ihmZ5S/OY0psJe4GzOE0TQRzePPPhIIKsyp+IRXsicmLrNE5e\nVqX0tizKOJyJjOsV+Y4Ia0wnfbdup+hbw+0siHTHwEilIOB6LREfrwN6/PIYmCZKpk8Op/M/aQKl\nM6fflBo1atSocXdGKYfhnHsdgNcjSZy0IqeReA285zC0rYBJPJYzNpV3aWIXtQLMMo0DipQ27+yZ\nko8UvpbYxFKEaeWqJX7i+i0F7pioDeEm5gzv0M4BchiWGC+Ow3U2O9RsNXMhmsNgik3elQPfWXXx\nUXMYcQwMFJfZQBjMTCGXmTYC+fotCs2C7sfBIPSzjAuhZLtdoNXJV9wexFmgSA6EaXm4W32RJUui\neEc6LlFVMEd9n86LXQZLmW3SNxZWAAAgAElEQVRxGFab5agVyBtx5oKEYXpsjIGWaj97QbNnekfV\n32zaVL1uO3O32h8DCGtIHNsBTIWz2JueW0OIN7YoN/bLxZwW98rmv1awUsuD3DK6sQwbpolSDsN7\n/2bv/QKAt3jvF9O/Be/9du/96w5Nc2rUqFGjxt0VVRzGfbz33wfwz865h+jrkjnvcEJ2XqcoubLU\nq5q6LDNftJCZ5dFunjnHVZhlVlF5lhLLivzK5TSJitAyf34foaxmOnlnICDvPMWcinbq4mif7Oyn\nvUi5L6SdzGEIZyEpasvqtDx1NUdV1o/CWQhl2kcwY24ZOoLMA7dZ/OacECoyvp8eR3yOob9tqw2g\nM5uvazyGaNdYR2HJ/jWVvlnUX0tfUEVpMmdjeXBzXdpZttksUtCsd9HjYmUFWBEOIy1jHYk3PBC+\nZ4QQhXoknO1KXp8i9Wvqu2Fw63yfxR1Z85/fVb93HIfcDikjjRVqs0zRMYp1WJFsLSMHbZYOkF6S\n1pBcTLC4WMah4DKqlN6/DeAlAN5qXPMAHj/95lRjME7Cg8iCaIVRsDpRwEpQZkXLFKGAreTTXuLW\n45bfhP6tkctylx6tQc5K3apQFWaeX1roZUDKs5aVVBQFsQWHoLBCLAMhKyIQrHt4c9BKRGmLHKv6\nJ7dIysKeXuPoD9m+OkYWNpvDmxR8Zujbcl7sKnGWNS4K9+VW82RJ9PE4t4jKcbPw9EDyHSxCxyJW\ndEiUso1XbxieFiTLI9zyRLcMMzSRsdLLL7BAsvDKd2PRooh3ZDOJekB7OV/vjBFJod3ML8pyrcqQ\ngd9Bi4Q4v0dOwZwe5RM0jHNN0BpjhPyQ3zplAteVM4ogQk5fj+PiWLG8+KeB0g3De/+S9Oc53vtc\nNBbnXMd4pEaNGjVq/DfGJGa1FwDQIinr3CFHHwn1OKPEMJ2OTWVZcYSq4rVs5pthKbHlqH1DLNM5\nXbZcq/KAZSpKcw5WcLLNKCqmgjNPVONZq70cBM9S/gJ5xaz4smwwpaSOZXVxPCzrPcSTVKjQHoIZ\ntVAzDQTxVMcQU5nhpjcRO+o4XZZ5qZTl4zHcYCNXMZsd7021psvLeZPlsnJ5/FoxmqyYUyxGtMav\nNmuN6Z4umajKt1wgrl4bCAwGpNhWYslVBA5DjmsIIkWpNkLgMAQdAN2ULeE5r7kJljTwt9WcnxUV\ngFMFsM+FZdItU0SEjQ7ATPp7XtpMpshadM5rjoClIZZEwuI6uL36O24MihKWaaBKh3EMgOORWEk9\nGCGPxSKS8CA1atSoUeMnCFUcxpMBvADACQA4nep+JOa2hx2yYWqvz3bbTutocRisbAYSPQjHk+Fy\nAZtytqgO+c0mt5OYLA7jYiwgbgMfxQmJTWirTPYm1Q1YqNK7MLWqlW0s95VrayjGB4pQTIHaHhMH\nInWWeMXKWGCl91Dd10Sg/OTbdbuhfdb3sUwV2SFQvlFn6xIW7vlAdJa2oDPjMVy+Bf62y+CH/ayM\ntR7QGiT/yJhZXg6cxZ49yXHv3mAowF7J7GgG5MPKsxmopi79OO94CeQjNWfPjYNZq8icNxC+VUc8\nzPvAknAONFdkznHcKq2f2Z+26Q4E3YUovYVLBMJ3H6No0LAGYCWto0vpjDNz5gruegNFM3iLmxga\negA24GDnVhmSC+lxDoGrXZTx0bE5Y26b/l0FS9LBc1CvdX5cnA/TQJUO4zwA5znnnuW9//ghqPuA\nMUZe/FMVjgOwLSBkgZVNYmkJ2LYtf47t94XFvmMlsNkyiIRNz/lIyCJDdWpxGZBXNmbB/eh+LX5a\nXAzeqwvixdoBGu0iv+3jvBXOxiDYr/PAGxqKUW1dY4lGuLpMhCOWQc2Qa0QwQlgsRITUQlBOM7sq\n56x5lIWWQHGh6yOINeTaBoJFS4cWUEvJbykSNeZ3nYxT/8fLcPTjfhHd4+9RuO5HMTauvxz9b/wD\n1i74e6C3jPX0moyjffuAW9KNYvfucJSsZNliDWAh7dMt6ff2SzSmiVCwRGJ6M8yFs0/vGyD0X4+O\n0i1iddYHMKAMdoAtkmJDil56jjcJXW4EWNFMCgrkMcIms5K2Y8YQxzLBxf5GAv7Gmugr2zD2Uxh5\nuV8IHWl7E2HDYP8P7efEPkhatGmF8bBE3fxO2RpibCJA6OdpYlMdhvf+4865pyLx+O7Q+T86BO05\n7GgsHYP2GQ9Hc9eZaO04EYiawGgV7pbvwN90EXD1RcDoUOzVNY4UtLdswxmv+Svsetrz4Mdj3Pb1\nz2D3p96L1asvBtZuRafj0NqxC4v3fgi6938ilp79V1h8xh9j/fN/it7n3owsLHCNGkc4Nt0wnHPv\nRkIEPg7A+wD8IoALD3G7TAixoJOkDAZFSoWVpXwUpdmxjz4bW8/6dcw/+KlwUZRM6rXdgB8B7UW4\nh70MALCwdgtw2Xno/OfbsfeamwAUd3OhmvlcTqlM9WvTvcEgPC/v1W4Hbke4n507gS3b0oKE1ejO\nFcm8OM4Ura1+euytFVhrprIsr2pLjGcp1gVMrYsoqikhoceBgt2fHhsoKsIaCFRRW1FgAIWdRihP\nKGTe0llMJeIuifDc7hUVjo1mkSIXn5ljH/UkPOqt/4D2lu249kNvwS3//tcY7L0xl9+80QHGe76N\n3lWfQO+Tb0T7pAdi4ZzXYe5pf4Tm/Z+BPX/zbCzfdDWAhMO4fV/y7K2paOoWALelbZFunAWwXajf\n9H5H34ITGlV5+bISOBP7sLhRHWMUFdE9hGeH6cmZflg8sqRcKJo589xoqmOEIjcBOseMk5QnHEtr\nuZjEi0XDLJqyuMeCsj8uiqn6feIwhMMa5H1GgITj0FIEKzgjQ4s7y4xfJoqbFxc54mYTcAZ3cmcx\niZXUz3jvz3DOXea9/0Pn3FsBnD+9JhxetLcfh1Nf9R5sffhTES/vRv/zf4zZ3f8fsOcyYF4MpWeB\nmR3AzocApzwDeMSr0XzIy9H951ej95XDExVl4fRHYusjfg5b7/dQtE98ABqzCwBGwP4bgb2XAzdf\nCPz4M8Bo/6Zl1Tg47Dr7WfjZt/0f7L/2+/jPl56N0Q2XFqINWxhefyn2vec56H3zI9j6vPfguN/7\nKtb+1+Oxcf33Dn2ja9Q4hJhkw8jEsM6545AQQ6ccuiaVo42EstJUOlCkLFgRLgrCnY94Au73Bx+D\na7Sw9rFXof/Vd2H78W3ghOOBE44Btm0PDw8GwOhy4MIvAd/bBXfG67HleX+LuYf8HNb/8tnwG72c\nx6VX3IxlBsvyVOYwOJf3jsf/T+z65d9F95Qz4Icb8LdcBv+Df4VrrANzC8DcCcCuRwH3/kVg9CZg\nzxeBa/8OWLsxKaC/TuFN17LGzI0TKfk6Uf1DRVFtDIpUjuUgZpnzcv/L7/1CDg4C1SqDiZWbmYc2\nAkcQG9SRUKt95HUXQFK+pnjZeSijZAfAKKXYhbOydF0n/Mwj8ai/+kfceumF+Porz0G8th/btoWw\n2ML5LS4WORYpd+3iT+C6K7+HXW/8Ik79/c/jsl9/MFZX9+AOpRBeBpA2KeMwughKYWl7a7kYmXZE\njojrxD1WmWozZZwl+UqPHQQZvb4f1KYxioQrf1N5ZoauSzdpAwggr9ew9FdSr3CWzTjpDyA/r2RM\nVxkFsBlqlVktx7/qyTmEb5TjjmRNokEn18V4gHWubNwAJJy0/mZWhOG4xKTd4jCE/s0G1xQwyYbx\nSefcEoC3APg2km/33uk1YXJ0kPd03CDxid4w4jgooFpNYPvDnojT/+STiHf/AHvf+Qs4bssNmDva\nASefnPwBwFFHpYU0gF66tHU6AEbAl34N4+1PReMpb8dxv/NJ7PmrpwAryUiwMm6NxkGswiEMdPDB\nzP5/67E47iXvQfdBT0N846XAp14K992PwB2drkzHHAvgqET7118E2scDW88Cjn4scPRjgD0fBu74\nQt7Qvx2mq4ip2u1+1iadlc0b76HbL20XSltvGEBeMQokXqoy4WM6ZgshHbWirjEOz8pcXENQglrc\n9pCO8lsWqRhAT6yY0oW7CVowO0Cr28Xj/9/z0Lv5enzxRU/F1tn9wDywYydw0q7kvoXjUhuZbduS\n8QIAqQhwdu+tyXvvGWBt95W48c/Oxq43XYiTXvEu/PClzwoB9NI61xEWQna250UcALpxMLiQb8J5\nD1hZqy36LCO5BvILutSpxbusnOZjJloyVvhsUUv/ZwU7f5Mx/ZY2aYwQxgCLG1dFmZz2CW/8Wd6X\nqLgRcOiUKqV3vw+sj0N9Ur+8k7SdLf64/Zk/SVpeW0S/lHtjlkS/GpyXm+eqVqZbG0anEyTX09ww\nNjXq8t6/yXu/nFpKnQTgPgA+Nb0mHHp0jjkJD3rz+Vi//vu49S2PxejWaw6qHP+Nd8J//FzM3Psx\n2Pa8d0ytfe3j74uT//hb6Nz38bjtQ6/C/rc8GLjkA8CwV/7Q4Ebg9g8DN74B2LgWOOZFwNEvRJE+\nrHGgeOQb/gBbTrkHLnjtr2K4/47NH9gEGz++HNf93Rux49HPxPFPfMYUWlijxl2DSTiMDN77DQAb\nzrl/BrDrYCp0zp0N4O1INuP3ee//1Dl3OhKF+pUAftV7O1dUq5n33GTKygpMKCzdo3/v/QCAG97y\ndJy8dHtiOL0rbf5ppwGnphK2hZSaRwSsiz9qiuXb0ei2gas/jpXPPgCLT3kdFr7wz9h/8efgx0Vl\ncVnobB3LavbYU7D11V8A/BjR3/80tu/5DnDvHcBxxyU3nHBicty5I8hBunPpyzbTrCsfAfqPBpae\nCJzmgCvfllzPotutAc2E3mk0A4dhwfIu1qK1brcYU2hI7LS+1kagTDOREwI1LdsiU2dCMDVRFDHt\nRxBt5WLWSJvT4xBF7qSHoGyXYwfBQ3e2M48HvehluOrjH0L/B1/B4mL4FPc+DWjd/7Tkn1NPTY5H\n7QgV70tJueuuAwBsia/A3r3JgLj2H9+KY57yIpz2glfjK+/5RK5NrMSXPhkj9Ie0cxVAV3EYTFky\nZZyJGdNrI6CgYG4icMEdw2SZKeiMszDEkmzcUeb13u8H01Th8Nh3xghjlmuvtSBk3Kqh/C2LVSZH\nTaWzEQj3nbRPxtGI6h2pI6OB4KeRKfFJ4mDlXNdoNoM/Eq8vOslYfxD6ZyZ977lmMJyZJiZ0Gyng\noMhY51wDwDsBnAPgfgD+p3PufkgCHT4dwLcAnHWQbTKx6+xnYftDn4AfvOPVGO798VTKXPn3P8Dw\npu/ixJe+A3B3gqJ3ERZf8GG45gzW3/0EYM93Dr6sjU8DG18EFh4PLD3y4Mv5Ccf9n/s8zCws4Dvv\n/+vpFjwe44ZPvAs7z3wkdj7gjOmWXaPGYcIBcRgEv/ktJn4KwNXe+2sAwDn3EQA/j2RD9kg2ytIV\nuNXM78QWxSAYxckOfa9ffgV6N16Dmz75PtznNGDmhFRPIRTiafcCZsUJSziMETCbyKGxM6XRdu/O\nSOcWlrH2qT/E0os/ivkHnY19//GZgswYCBQYO/YJ9b0wD7Qf+5tonfrTwOdfhrn5vcAxaXLD444F\njjs++X3MMclx5iiE9CwURLmRSvO3tAFcAMT3AE56OTC8MugyyNWbnfQmiQxrKe/bbSNMvMiCKaFQ\nlhN6X8LUAYGSHqHofAeEgSXX2igqzFepHOZEtIkoy80FbQSKXdq0hNCj9zr7HNx25Q+wdtWFuNc9\nk3OnpEOl9aDTgYc+ND157/SJ7chozJNvTitJS9u3DzM/Ts7FMXDDpz+E037jr7DriefgxxddluN6\nxOxXzsXUphwnIqbXlNRKuGrre1oTVaYQf0fLNJXLq4pjVhW2myl58f6WYdnoh/dmap2V8kA+Gixz\nHaLbqdKhMIcsGI2Lz+Sc+dJz3miLjnMl92ldWgdhfIkuQQQEnY7t9CiwojZwUidZa5ZJEZ/dSvrI\nSb3IDwRVsaT+HfZ4c0hmycHgeADX0/83AHg4EhHVpwBcBeDdZQ+L0rgqnDMLsxZPvieO/enH4dr3\nvhad9hhbtyFVHiOIpGZ3ATg5fWJLehwiEwhsTUf34mImCmo2lzH67icw3Hczjnryi3H1Zz6Ty7ss\nbeI8wEDCumfWNdtngbPeAFz/BSD6HnCf+4Y2nXA8MJtuGFlXLyGEO5ORsI6g0Uo3tvWPAPOvBrad\nDfzwsuRcbx2jlWRjkUnLitFKixryJ2mROE37A7AoLgtBLeFXusAWYZ/TcmMUF3he3K2NQDaJVbp3\nTPdJr8R036q6r42w7cq5OXr22Iecieu/8gVs3xZEUfOnpd/i/qcDpwh3IBvGErItrZEuESekY2Zp\nCxpRsmH0+0B/914sX3sNdpx5JvYjL4Ya0G9pZ8V+noHDlTRIW50tOvKNqbAORTuwwpVbuTkKocTb\n+c1Djmz1AwSx8HrP9lVoigGL8W5ZyBjkDSOAhHicVYSJtlYTaKMNoCgS4hD8IgbixZEtvNhSDMgb\nV8g46gLYkQ40oflk7nOI/SxAZz+/ycnRihIh81YM6teofdJmyzdjGqjiMP7iIK9VweIevPf+YiQb\nx1Sx86GJaOa2C/5t2kUDoyHuuOgz2PKwpx3c86c/G252K3D53xZNVe4MxruB/d8Gtj4RcH8J+NrL\neFJ0tmzB/HHHY+93Lztkddz6nUtxzOmnH7Lya9Q4lKiKJfXlQ1DfDQBOpP9PAHBT2c3OuQ8CeKb8\n3+mo+FGbiFR2PuihGK7uR+P2HyRBBpeIxM+UlUcjiKKE9hwg7N+cLDtZ2YVSWb7mIhz1pF9D5+gT\ncdu+hHFiTkOzhEtLgSJ3Z/4KsO8HwMzNiVgMAE5MZR84CcBx8lR6nEegX4QeW6HfxLPu+Tfgvn8E\ntO8N3PwVYM8tuDmNWyQB7/bty3Mb8qjlgarBXJxlniDPCgU42wUWFYfB5onMWYhoYkD/Wya5sXGO\nRVFAPqS23MeUu4imRun5uZRUbQxXsG1boAxxXMqVHnc8kvECAKloE1sReIWU22undHDUCNSgxCG7\n7Q5sO2MusY5OnxqjaMrKIg05LiBRZgKBqp41gtwxlydHpjY5D7ymztkzmo9aTMLZHidJDNRqoqBo\nbrcDB5RrP/UBkHwnXVejWcwsaUUgkPO67ZZISv9mCp/LsBT7OvnYbBc4emfye2d6FB8ecfMCwhy8\nAyHhGLdbixtz6QbSI1edzSnyIQEA59wa3Xa+9/5cHAQOgZSrEt8EcC/n3CnOuTaA5wAoJf+99+d6\n7+e893Nl91Rh7viTsP/HVwP+YFUu1di48UoAwOyxJx/4w0c/GLjxguk2SLD/8uR4VK1cPRCM05Ui\nalmS6umg0W5jNKxjk9U4vJB1NP07qM0COHil90HBex87514J4HNIlAQf8N5/d9LnO51kZ9aJQSwT\n1pkO0JppAaNBCOfQmc24hCDQtHxLS4T5aUUZtZFS962ZViaztbzQ+fdcF4i2nwLMbAFWr0qo1xPF\ncT7VsmIXgJSqzSm6pV3C/Qyp7em13hpw203A2o+B7j2APbfi5hvGuD41EBMOY2UlH/oayHMLTFGJ\no1nmcDYIJpItxYkwpSZdPNcF1kSfIc5LyOspBNoBamRcY32FgLmOAZ0TsOO4/rotJNTs+LbbEPdW\nsf1e90L8A6C1KELylF5pim0Gl84qa6XV3bcvs7SVU1tPOw17f/QjDJCXd2ssAhAGR45HkTMWcwZV\nycPYsVLL8rvdYojwRpQPAy7l6sREM+0iF8MchqXU1YYSFofBKVqlXxYX84mT5FmtVymDfm9ORMUU\nO+sfpVytj+P35n7XZvXtdj4OHBCiTDeifLh0IPl/ZKxr+t1m6ZuJ4UMbhVUgpxyfJg7rhgEA3vtP\nA/j0wTwrYcezkM3EJuvBMz8PYNhDe35XvtMHKXW3mi66CysIggsR7wyRzzwMYLCRVZwNwPlkBESj\nnqkA5MEDJIOu2wXc9lSR7fanfKooto+mo4jJxJg6Qt43WM6N8+fE03v1ZoyaSxjs2Y+bbgJuSgV/\nsmH0etXKbu4zrfQGgFY6GBtq5WZrk+zedpjwsmHECBsA09scyA7I28KzkrGpzlnSyYjukyY1QVnR\n6Jhklxtj5cpLsP0BZ+KO/58K6qd9u7wMzKUdmG1pM8jGyvoVyfHKq5J/r7k56++11YRzOfYBD8B3\n3/72XDuYFJDFcjuAnWnfbk2HwtJSEMNYfgZVSk5LvMLPiqKXQ09YYpAWzTNrzGuRlCyCjWZxjjab\ntvVRJoqSMWPkrGm186kMpL1WDhxpf2a00bTfzTJS0Yp13mStDYM3G9ncpe2SxybXnyROqxItyrVh\nN4i2eqmYOUKYIzJFXWTP6zuLTUVSzrnPp6FB5P+tzrnPTb8p08fqtd9D98TT4FqHJgX5zK5E5LP2\noysO8MnD5Y1de30fKPZd8jUsnf5TaGw5evObDxCnPPEsNGdmcPXXvjb1smvUOByYhMM4ynufuT17\n7293zu08hG0qhbBosotzEhLLG7n3w4sQNZuYOfkh6F91QSKuERnBTanN/GkLgBP6U1QlIwBp7Onb\nWIaTcCCyc8/e42EY7L4K2LijkGeck58IhZFlTJPod3NHA+09CGZS7INrick4ShKQcBWpLmsoHMYa\nsLIfaG/D8KbvYHk5eWUtGuEwzRZm0i6xlHxsIimwbMct8ZT0RdQLcXQ4w5rO1b2OYpKfIYpK4jHs\nwazj/rQRKHuhgrrUvhs/+X7c8wWvxdzPvhD4/p8mJ6XTbrghvODSLemLNIB9aXDylLPAJZcAAH54\nDXBb2u/DGHjgi16OlZtuwnWf/jQWEDyBgTACFtN2bNsWQpsJpdrpFCn3waBoHm3Bsskflvji6MRk\nLVJwZ+fattJbm7aKWKtB/iLMYch7c9DCrhhNUAh5SyQ1ieLa0fgVbpjbaGW/G9DYZ84CSMbvJBxG\nFBXFc1V+EexPw+cyUWF6XESRi+os59sMJNzMZqK6g8EkSu+xc26X/OOcOwkH77h3WLF8yZcx2ljH\n/M88d/qFd7ej+8Bz0LvsIJit268B4jVg8T7TbxcAtOaApXtgeP3Fh6b8/8boXX8Vbv3657D05N8E\nujs2f2BCnPjIR+KeZ5+Db/zt32bK9Ro1jjRMsgf9HoCvOufEzPbRAF5y6Jp0cNCKrWYTGK/djlu/\n8BHseOy52P2h12H/8goWfvyj9AaJMNoHjkmpRQ6+IvZue1KP7z17Mr1HHAPtM1+IqN3B7Z9/FxpR\nkKda+RJYQZlQXB7u9u8BWx8I7P8cgtJUlNkrCDJyVggIjS0MH2VKlvaurgJbHgC4CKtXfitz0MuS\nJJF3qLVsaSFWexDM86xw8lpP0y5RCspv6YuZDrCoymAHzI30Gnt1WwK2zFEJRT0GmzOwgjlTpqbH\nWeSpse+/7bfxyA9+G6Mn/TUGH/4lzIoiotkKIePFeGIwDOzbNdcAAK7/fnLPzTcl3FijM4tnvPcD\nuONH1+Hbb38rdtAYBfIJs4Sr2H5UkFXPEkUr30AUtKurRQXqZuHNeb/aMExotXzf8uqe7RDnLN/U\nUMAL1RyRg6G8d4fKaKTv0GrmoyFIXbp+Njll6NDgWscm0NT3MC7qX/g+y6zW4qpzCauU86LFAVlm\n6ZxwraXq52gX0hcLi/m0BfJsmSPjncGmG4b3/rPOuYcAeASSOftb3vu902/K5OA8xUC5aCWOgR99\n9O04+qznY+uz/xx7/vFliONksd26mjpn7b6lyPuz3EsW4r17s9+D2RMx94Tfw9qln8Xghu+ZAfoY\nfE4m9+zV/wL89J8ANy0B62kuC1kZMELYFHgHEmW3KORvAZBuaCxzOv1VwNqtuOOSL8AP8wOV54+l\nMJYBkdkCGdYW/UExNEdOgazEB2W5QarCM8gmFa1Wa2K4HVbYaVGm5nwZ0t9dOpfllxgDd/zwe7jl\nI3+AY899M+JrXwf/7TcDANzYA2nockSNrKGjfUlEWzEs+FFqkba8DCBq4nHv+DC23es0nP/zj8Nc\naw2zqSyK/SHEomZ7OhR3HJUfjkCymUqOEbEUZFt7a8Ng6HAdvDlYG4yIQbpRfpEHbEV0s1ksz7K0\n4jK0GKjZpMCcYpnUKS7clpIYAKK0Xm29x23ivrFCcjB0aHTLGKRhbDBcng4/z7+5LQ1jI9KbwwwZ\nFsg8W+wFq8WhUe40USqScs7dJz0+BImd500AbgSwKz13RGD16kux+1/eip3nvBTdB55z5wt0DSw8\n9/1wUYRb3v/ygy/nmn8FBvuBo5+5+b0HgvldwGlPBy75APzQCrhQYxLs+Zc/w/o3PoSFn/8T4Al/\nHDaIA0BrcQlnvf98nHLOL+DLr30lbvzql6bf0Bo1DiOqOIzfRiJ6eqtxzQN4/CFpUQUkI5ze9S12\nt9kMcVq+/67fx/yDz8bOV3wUV/3+k7F2xQXo7k4KWVi8EVsWEwp/YSktZH4hiKyEBOn1sL4GtP7H\ne9G+75Ow/A8vwsYt12Vts0wW9bV+P+hPZ398NfBffwE85g+B6/4TuOMbwK50gd96K4JKVujhCPko\nSQD8PuCmlDvZc0tyzxn/G35jBYMvvy3XP9oEckxcgw5nzcgp9Kh2EaJZHMZGSu3MpnV0u4GanjW4\nDhZjMKUPJEmDpK0cw0cr0foInIhccwhKVVZ0i7I5C3PeDf2TUYMbHjf9zQuwo7eOxce9HvHJZyE+\n/4Vo3HBZ1lYgofDlm4rk6vZ9wNGP/jmc9dp3oXPU0fjq616Oaz7y7kxhygpUIOEkhMndkZqTzG8j\nW+Rx8kat3hpG6eAXxpdNSfmoRVEW5cvvkYmO6PcsKbOlrZmJqBGHikVmVUH15P7FxWIiMVb+sjhm\nUg7DKw7f4rbG48AdcEwpaTsH6BwZprvCAc1UiGGrvMmtYKkNw4SWz+kjkFfIi7l6FvK8f5j9MLz3\noqc4x3ufq9o5d2jsVA8RxoM+LvmdJ+Oh7/gyTnvT53H9e16F3lffd2CFzB+L9jPfhca9z8H+f/1f\nWP/a++98w77+F8AZz6gmvMUAACAASURBVAaOfxmwft2dL+/E5wJHPwzxR88F9u++8+X9pGM8wq0f\neAncNZ/D3C/9DTq/eSnGP/wPjL/1fuC6rwHLPw73ugizu+6NxQc9Afc762VYuMfp2HfFpfjsr/wc\nbvvOxYfEYqVGjcONSYbxBQC0CMo6d8gxHOSTJWkHMQbv4us9APt244vn/iwe9mf/Byf9xnux52G/\nhO+/+/fxw0v+K1OuLS0l5Ma2bXdk8uP2wgIaZ/4KWk/6I0TNGaz+08ux77NJQF1tfghUy0F7vUQV\nAgDNZhKjdMdHnwO84MvAib8HXPYaYP2GhNwUjSfnQs3cyFNOZGV/MOnc8jRg1/OB7/4jVr7yoVy9\n8jigKDrhQNJ7rGixLNRi81b5LfojR8dM5zCmBxSYkrRktkK9DdtAU3Jvp8+KZzajAVuXJQSZKLiX\nAGxRMmCm+qVNG4PAoe79z49j30VfxNITXoy5x7wMzWf/Y5LYaf9edFduRcdHaG8/Ho3ZZCDddtmF\n+PrrfhVX/NOHgdEwF3dpfj7oJjg/uHgDz+xMIyYvLuYV6/KezXwGwDI9RJVjGj8riOh+uS+TkS8a\nHEaJA5tuCx8tj2ttrmvBcsy1zGotzim3DtAA19F0OQmaxQlIecMYmKmINFGllPcVXFericKgnmkH\nTogTr2lFvhVW3opvNQ2UbhjOuWOQhCOfdc49GGEdWIQdzeCQY6A2jL5htcNZx/Qg27t3D3709Cfi\n9Oe/FA9/w5/i0X9/AW69/GLc8MVPY+9lF2HvHT+Ej4fA3Ba07/8gdO71CMz81DMRdRYwuPLL2Hfe\nixDvubrAurI9u6Vkq7JU6fcvx9GDJ6D1q5+DO/NdwJdeD3zr3ykGRBrSnPJz5zaOeBZ42B8CJzwB\nuPJjGH30+aZVE7O5QDLIRjQJgGTjkA2iKqhfH2HDkAHE+Qx0JrLBGHAGeyx+GCJGKPNO1WGnG1Sv\nzDFrIEd0XQR8W7t2eA1ZuGaI5c8Fg+vtQ/9jfwZ8/C3onPpQNHedidlTHgQ/s4ThxgiD2z+L3Rdf\nhH2XX4gbL/0BgNSaTllEsXiHN46ZbanocdvW9OIWIEqnnHzQZqOwWPAizeeqULWJ8CI+R+InS8Gt\nF+yhIS6WRdoSDU3KdVlGJSym0mI1aQuQKMF1m8pywVjz1SIA5RtYoXTYm1xbjOmQRly+1Z9t8mZn\nXxKr33RIokPF0VYV+2QAL0ASUfatCBvGCoDXH5rmHAZ4j++e92587yMfxGnP+mWcfu6L8MCXv8YM\nOBfv34v1b5+P1S++E7jhm4fM8sDfdDEGf/NTmHnOecCT3wnc8qvAtf8E3PD58odmjwVO/TngpF8A\nohnga28ELnk3MK5yx6txp+HH6P/wQgyuuBBAspbrxEA1avx3RZUO4zwA5znnnuW9//hhbFMphIKR\nhTvn95zusJn4ol+0wc+FbsYabn7be/Hlt70Xcwsz2PmAM3D8/U5E1Gxivr2K5r7vYLDnx1nAMKY8\nM5+G9DgcFNlZpmKsnMNM9SQ29ddh6ZrHovuoF2Ph7P8H0SPeAt9fgbvlYuCWS4HBCtBsA1tOAo5+\nELD1XgmJc9Ungf98I/wNSYTa5eV8uHKgnOIUComVyTp/Not6pL/X6Ldss0JNWKbfIwTqypO9uGbR\nzRhH7AHLFF16lEscgI3vyZTdKWW8tFTkMCylKrdhSBylpuR6vbyiEaimVJlaFmq02wUwn3IYEuiw\nQxyliKSiKOMKN+Mi5L5JxaYsLso4DAqhrjkl5gYz34c4cBQ8N+R/i+DiaA26bUx9a0Vz06DgpQ1c\nHnNgVrIiqw/4/6q+4v/ZT6KsfVk/bVKmlgbknh0jY/+1n4cu51DEkpqEcTnTOfcfEh7EObcVwO94\n798w/ebcNRhtbODmb30Tw+u+CSDJgyBWK4cV3qP3lfcguuS96D7gLLj7PB3uxIcCD34R0Epn7+pN\nwJ5LgSv+CfjeR4B9194FDa1Ro8ZPIibZMM7x3mciqDSW1FMAHPYNw4/zFAMnENEZBljOLXDGjtsC\nEBEVBCQUo3jSZlEi20VKZZ0oSyutpQVWgMt92lmt2/Xo3Po54Aufo7SoDTSjUa5NTE2wB7CmeAeD\nUG9VTm8mfKRv11FMdLRG10WZxeHINWfXQpH6Z25rYxPlXEZ9Urmao4noOivHtxBnIUeRx2uqGcjL\nigWWFzQbXpRxcqNNTF4bTEk2JemSUXGcju7BMPf9rDoFmnvz48DlsVzc8lpuKG7LMoHm8qRN/X4+\nBL6ck6PFYUi53qjLyiHPHE6GTUTFeuzzNxO4qOhVbSWiYs7B8jS/M9DfwhvjjU3PGZuNh2lhkg2j\n4Zyb8d5vAIBzbhbTTSo6MVzK+mWsGommWIQisL6neU6d5IBuAnb+lgVONoyNQZig1mCzPEIFljXD\nYGCFJBgVBqqlWOv3g9fnBk3eDTWRh3HR78Ih9B9LgSRVl/iZ91D0EmcDD72Yt5q2F6sGewNb4hz5\n7A1qH+fPkOtynO8ULZI4j3WjYvSXBYrTG0BZAD99Py+cvJEDyULWEMu3bHNoAHG6LadBL9Ffn0js\nxeetRVp8CxrNolKVoa3YuNzxGNnH576wRLNy1CFMAHtB1hZ97CdjBbcU4qXMJ0X31ciwIrMCmLJ/\nRZX/B89hi/jQ4UosQwW+j9vGwQzlqP1UWNQucFH1+D5YTFLkhwD8h3Pu75CIu38NwHnTb0qNGjVq\n1Lg7Y9MNw3v/5865ywE8AQlB9ybv/V2SD6MRJayr7KwNi8VNjzMIFG6DjgXFaFSM/xTHRcUx/84C\n5BG1pzmC2W5QGmp7dSBPdegAZGXeqRqsbMtEZ3FoF4sHtCiD62QqXZTYQrXFdE44DdK7FY5chnyn\n2U6xnUBR4Wm9J4tN+NvKbfxt5Tp7UgtnMUdmoRbHZwWrsyhJHUhuZBgysBJY26w1mqF9MsZ6PWCh\nR+HpgVRukj69kvhebKwMsmfWyHTaokwtL2N9X4f7lr5PS/WPM76PNS9GRh1WfKtcbDNStsv/OlYS\ncxjcjqo6WGSo72tEyAYLR4jQHIY1VrhfOUaUFhOx3wm3We7X46jM1Nc6J3UNac3R4rFWk0LTTRET\nMS3e+88A+Mz0q69Ro0aNGkcKNt0wnHOPAPDXAO6LhGhvAFjz3i9WPngIoKl4pi6FqhVCpANgjihc\nfk5DU1ksb2VnmzKFY5Ooxm2UTnOOwjPr+pkS0p7rFqXEsW6YkrSi5Fpy5EIdKKZDBUKfSnFjBP0Q\nK50LSmx1BAJVNtMJ5pCbmf1ZslhNXbYNCpXjZYlSu9vNJ68C8t/AMjnV5eq26TFgUc6Wx7Vgg3QY\nYlhxxwrQ6SScReYN1G5lHIZfScLeLy8Hn4914jCGajxaYO4o0/U089S0HLXcvswAYJJzgpHBEbDs\n3TLr5e+onfQ2BkUdgTnODW49Mjgr7gvmtizOQnNZLiqaVFtch6BszFi51K2+tXQtun+iKMRvmyYm\n4TDeAeA5AP4ZwEMBPB/APafflDsH+Z6y4HWjEE9fW8UANhtrsdsSLtnyjpXylpaCGa6EeODE9Zai\njq1I2DpLn2MltRUSRdogg63VLL4P1yue3CMUld5A3mhAIJZQMv5iFC2SxnRNIP000w45EzjsdJko\nhxFFYbPh/qya8FVKS6BoQcTKdnmhyFj8rM2dzw0neB9WkMo3XlsFlmWzi9ey9orocy3dWPbtCxsG\nj4+Rqq9soWmpccte5xwmRVskcTkj40Pz++pNeLONRcDfU2fya7cB10xuaKQP8xzlci0/J4vA0+OH\n81fwfK0iKlj0uKHOWSIpfi7z8dlEnFfw4RgXc5nzda5zpl28785iUpHU1c65hvd+BODvnHMXTL8p\nNWrUqFHj7oxJNoyec64N4BLn3J8DuBkh5vZdgmwXR/4IBJbeitnDActysW4UOzmMQ6E5ZaBkuErL\nFW7i5JOBY3elNx5zbHKcpy7KHC3W0UrlELO9hJLs9MYhWZDB9sqjlkkus/leUSwMpvzEX6WPor9E\nE3kfBj4CgYuYRd4HBiATWgQuRSjE2W7oM1EijohjEkp6SJwTU4AN4lSkXM05tNtFc0MGU3JatCfP\nA3kOS3+DXOZCGjOWol7/1r4NXO7KSihDxFRsxi0K7v0rxeyHlqhnUgUzi+xYfJqJogwRqoD9nrif\ndAIfPT43g+Xz4ZpRUf4EmyK3lN6WSMry7NflMpfgyQCgjHMA8vNP3tny1+Cw6nK0uAkrYGH2HjRf\ntNEGv+M0MYnryblI5tErkRjKnAjgWdNvSo0aNWrUuDtjErPaNAk21gH84aFtTjWY6mI4BMVtprRt\nB6WPlokCYddnRaYVDjgLP9wGtqScygknJMf73Cc5zt7vZODUU5N/hMPozgazSIlKt3t3mugIwHJC\nu89EKxB2hikMbXbH56RNbM5bhZzyjs4L0SJ91kTec1ru0ZxIB4GzEEpTylgAsKCUzwvz+bhN0vaC\nY1MJNWyZWerkPVbsHlaCDukbawWlJdPm/mYOQ1P4/B7CAY2VApLLtTiM1dXAZVncEdevDRrYG5jf\n0UoBqmX0rPfhdKi6DeMxmZIbc8RKQmSFChdwnKv2BMpxfpiNDrSyv8xYRDu/AdX5wDnxmKUrE1g6\njyqFdakDpGpnlfFAmdNfUzg54rirOKGDRelyk/pe6MRmGbz3Z0y/OdUQNitbTNLzHQQRSYPu1Uo+\nK9/2iCyiOJiXHiizHWBragEle8PsGanu/4wzgHumv2fTDQMzyFRhx6VJMGSVA8JmMhhiJk6sYIYG\ne6rfHcgveJZSzhqomaKTcmDIWiLjqo3EL4XfezQOin8ZLB2EjUL3+wKQBWzkBV4WffYetiayBitB\n2b9C5w23DAt4geXwFRyWBchbmVjKVEskxW23fEzkef2OHLSvKtx2mZWWRTAJ2C9AQv/nQuaoxdza\n0GbaxY13GNuiJq0I94bS2RKR6nfi+0fGppMs3HllN4u/LAMEy/qoapyViX/0OtDpFIm0ss2nzJeK\nrcO4Dy0Rm35WlwMAcYmY7LBuGACeNs2KnHPPBfDa9N9VAC/33l+aXnsOgNcA+Afv/dumWW+NGjVq\n1JgOSjcMEkVNC9cCeEwavPAcAO8B8PD02nMAPAzAh51z89771bJCAGIPRRQwLlLL1q5vmcaWKcC0\n6ez8PLAjNZ3dckKaFVpYjdPuDcyIpXGqCUcbmTZdIs0etxHEU2If2VuDxA+ao0Tbmt1tGXbiTEGz\nUjej1gwOYz5tygabY8o7G9Qyc2oCFtfoGFpdUnCz2Ehzd2VKUE09Wb4mbPrJ5erQ3ywiYWW1cBgM\nKYef1dSvJTbgYH06LhOLq5iCzpJUVfhy8Huzt7GmGi0x7WgcfGdEgjRG6J92+v6rq8EghN9L18HZ\n6CxlvyVKtb4vj2V+jusfDChfFN2n+7HXKxogWCI7wDYYycRo1HYrH7nlia59Hvy4uN6UiY6qUMZV\nlv0v79goWbcORSypTZkW59wjnHPfdM6tOucGzrmRc27lQCvy3l/gvb89/ffrSBIzZdXIbfS7Ro0a\nNWrcjXBXOe69EPlQI+cD+BaAD3nv95c9JFSN7LKyq7sxea+KGaNBjVnUkzMoWDblZDm8UGOZO/dR\nO5LjzE4AkkBje3qcQUhmnZIuc5S9RxLkdOeyF3JRogmYb65jJtUGSpv2rxpK4nFRRs9mhEJFcXye\n7F1J+ctyZksxqkNKs6KVnaEA2+R1EspJg81QNQdoRQwdje3Q2jrUuxWKnql0jjpakK+Pi+es9+S+\ns7iejOxPsTHIxyWTMibxwmZzb+aQRXchI3AMMnJI62ovFx33ypSl+r3X+7bDoED3haXr4fkoz/b7\nxci0cZwfe3Kf1nVw5GCut0q3xPoky5HU8qAuRpIu3qfrK3tv5rq0Tigy2smIaK2z5ojFWd1ZHHbH\nPefc45BsGI+i8s+DEQHXOfdBAM882Lpq1KhRowbgnFujf8/33p97MOUcUsc959wrALw4/fcpSMjw\n9yFJynTbZs+nL3VuWpZnUzoGR6G1QkFYjjiWuSE/Y4WZyK43G/mLaCEEzpBUIU0Us0swO5Pe126F\ntJxyrjuLVhq9dLEZvrNQdFIEJ7HRoUQYrXagQqUMpiS15Q+QNye24kBZsnxpG1ubyb2aQmR5t6Bh\nOOlxv5d9UznqECtW+tQyClBTl2w1Y5mw8v1sAcVtHxuWN2y1w1xh9g3Sa5zrRL4xm6AyhcrWXvKs\nRHKWR0ZAIRHW6mpQpc1TNN9JTLUtiyimnC2KV1Cl5+DvaDlAyrtuGA55Vk4Lfoa/fVWIFy5X67a4\nLdY3qLJMqronZ8JL92vdSJlFnZX0Kmfu6/1UnK0n2TDORbLivRLAb+EAHPe89+8E8E4AcM7tQiJ6\nOtd7f+XBNHY8TgaF5MRt0cIpHWvFwbHMN60YLhb7zGxnNpAkoU2PUwv16TeQdJlcT1et0TogiXIE\n7ZniCIpjSAY2Ueh0BmuFza7fD3GGxEOY2WgWZegq+v2iqIlzHcs1VrZbRgO6by2bdN7ErMlria6s\njdqyY+dFy1oE9ORqNCmwIn13ywY/i79F5ekNmhXW88ZCqOsfjYuiHIAWOlKy6jzW1vtbiCIUYn0x\nxFZ+fRzGDW+s2bc3FkuuX5vO8jzUCzyf42tW7KmqTVm/J5A3uNBEUBSF9rFpsFbi93phBss0bwEY\nK0KjrN+tdads87A2wjLRmVVGlWn1pGPkYLHphkHWUn3cOce9NyIR8P+Ncw4AYu/9Q+9EeTVq1KhR\n4zCiynHv5wGckHIJcM59A0Cq5cVrvPcfO5CKvPcvAvCig20oEBSRDcV28u5sUcNMPWrqxTJ/K9vt\ns7Ste29NjrtTr+0Tbg7eaplGs4nE3QQAbgzPiVktcxqSz9nSnKX3NZtr2WmJLbSyEooTCrHVLnq2\nWwlorJDIQKB+GwZry5S+PNMgLg/Is9DSx+ysxtAmufw851euivfDR11H0+COrIQ6fN0yybWcxWQs\nrI+Dk5weWxaXy3Vxv2pxlmVsAFRHi2WzUB2mnk0PpQhPzzCHYSUr0sp7/s3e1xnnqcZMWVSCqtS9\nZb+BvKk396MWzTSaIRQ8c3ax4hQ3kI/kzEcAGBtcqxZFAnlHUkt0ZbVZytBm2WzqK/DGOC8TfR4K\nDqNKj/4aAP9G/88g8ZV4LICXT78pNWrUqFHj7owqkVTbe38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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot sources on top of significance sky image\n", "result['sqrt_ts'].cutout(\n", " position=SkyCoord(0, 0, unit='deg', frame='galactic'),\n", " size=(8*u.deg, 20*u.deg)\n", ").plot()\n", "\n", "plt.gca().scatter(\n", " sources['icrs_ra_peak'], sources['icrs_dec_peak'],\n", " transform=plt.gca().get_transform('icrs'),\n", " color='none', edgecolor='white', marker='o', s=600, lw=1.5,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Measurements\n", "\n", "* TODO: show cutout for a few sources and some aperture photometry measurements (e.g. energy distribution, significance, flux)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# TODO" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compare to 2FHL\n", "\n", "TODO" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "Table length=5\n", "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
Source_NameGLONGLAT
degdeg
str18float32float32
2FHL J0008.1+4709115.339-15.0688
2FHL J0009.3+5031116.124-11.7932
2FHL J0018.5+2947114.463-32.5424
2FHL J0022.0+0006107.172-61.8618
2FHL J0033.6-192194.28-81.2224
" ], "text/plain": [ "\n", " Source_Name GLON GLAT \n", " deg deg \n", " str18 float32 float32 \n", "----------------- ------- --------\n", "2FHL J0008.1+4709 115.339 -15.0688\n", "2FHL J0009.3+5031 116.124 -11.7932\n", "2FHL J0018.5+2947 114.463 -32.5424\n", "2FHL J0022.0+0006 107.172 -61.8618\n", "2FHL J0033.6-1921 94.28 -81.2224" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fermi_2fhl = source_catalogs['2fhl']\n", "fermi_2fhl.table[:5][['Source_Name', 'GLON', 'GLAT']]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "TODO: put one or more exercises" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Start exercises here!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What next?\n", "\n", "In this notebook, we have seen how to work with images and compute TS images from counts data, if a background estimate is already available.\n", "\n", "Here's some suggestions what to do next:\n", "\n", "- TODO: point to background estimation examples\n", "- TODO: point to other docs ..." ] } ], "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": "3.6.3" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 1 }