{ "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", "[cta_data_analysis.ipynb](../_static/notebooks/cta_data_analysis.ipynb) |\n", "[cta_data_analysis.py](../_static/notebooks/cta_data_analysis.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![CTA first data challenge logo](images/cta-1dc.png)\n", "\n", "# CTA data analysis with Gammapy\n", "\n", "## Introduction\n", "\n", "**This notebook shows an example how to make a sky image and spectrum for simulated CTA data with Gammapy.**\n", "\n", "The dataset we will use is three observation runs on the Galactic center. This is a tiny (and thus quick to process and play with and learn) subset of the simulated CTA dataset that was produced for the first data challenge in August 2017.\n", "\n", "**This notebook can be considered part 2 of the introduction to CTA 1DC analysis. Part one is here: [cta_1dc_introduction.ipynb](cta_1dc_introduction.ipynb)**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup\n", "\n", "As usual, we'll start 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": [ { "name": "stdout", "output_type": "stream", "text": [ "gammapy: 0.7.dev5344\n", "numpy: 1.13.3\n", "astropy: 3.0.dev20763\n", "regions: 0.2\n", "sherpa: 4.9.1+12.g3626715\n", "uncertainties: 2.4.8.1\n", "photutils: 0.3.2\n" ] } ], "source": [ "# Check package versions, if something goes wrong here you won't be able to run the notebook\n", "import gammapy\n", "import numpy as np\n", "import astropy\n", "import regions\n", "import sherpa\n", "import uncertainties\n", "import photutils\n", "\n", "print('gammapy:', gammapy.__version__)\n", "print('numpy:', np.__version__)\n", "print('astropy:', astropy.__version__)\n", "print('regions:', regions.__version__)\n", "print('sherpa:', sherpa.__version__)\n", "print('uncertainties:', uncertainties.__version__)\n", "print('photutils:', photutils.__version__)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import astropy.units as u\n", "from astropy.coordinates import SkyCoord, Angle\n", "from regions import CircleSkyRegion\n", "from photutils.detection import find_peaks\n", "from gammapy.data import DataStore\n", "from gammapy.spectrum import (\n", " SpectrumExtraction,\n", " SpectrumFit,\n", " SpectrumResult,\n", " models,\n", " SpectrumEnergyGroupMaker,\n", " FluxPointEstimator,\n", ")\n", "from gammapy.image import SkyImage, IACTBasicImageEstimator\n", "from gammapy.background import RingBackgroundEstimator, ReflectedRegionsBackgroundEstimator\n", "from gammapy.utils.energy import EnergyBounds\n", "from gammapy.detect import TSImageEstimator" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Configure the logger, so that the spectral analysis\n", "# isn't so chatty about what it's doing.\n", "import logging\n", "logging.basicConfig()\n", "log = logging.getLogger('gammapy.spectrum')\n", "log.setLevel(logging.ERROR)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Select observations\n", "\n", "Like explained in [cta_1dc_introduction.ipynb](cta_1dc_introduction.ipynb), a Gammapy analysis usually starts by creating a `DataStore` and selecting observations.\n", "\n", "This is shown in detail in the other notebook, here we just pick three observations near the galactic center." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "data_store = DataStore.from_dir('$CTADATA/index/gps')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Just as a reminder: this is how to select observations\n", "# from astropy.coordinates import SkyCoord\n", "# table = data_store.obs_table\n", "# pos_obs = SkyCoord(table['GLON_PNT'], table['GLAT_PNT'], frame='galactic', unit='deg')\n", "# pos_target = SkyCoord(0, 0, frame='galactic', unit='deg')\n", "# offset = pos_target.separation(pos_obs).deg\n", "# mask = (1 < offset) & (offset < 2)\n", "# table = table[mask]\n", "# table.show_in_browser(jsviewer=True)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "obs_id = [110380, 111140, 111159]\n", "obs_list = data_store.obs_list(obs_id)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "ObservationTable length=3\n", "\n", "\n", "\n", "\n", "\n", "\n", "
OBS_IDGLON_PNTGLAT_PNTLIVETIME
int64float64float64float64
110380359.999991204-1.299995937911764.0
111140358.4999833831.30000202121764.0
1111591.500005656831.299940468341764.0
" ], "text/plain": [ "\n", "OBS_ID GLON_PNT GLAT_PNT LIVETIME\n", "int64 float64 float64 float64 \n", "------ ------------- -------------- --------\n", "110380 359.999991204 -1.29999593791 1764.0\n", "111140 358.499983383 1.3000020212 1764.0\n", "111159 1.50000565683 1.29994046834 1764.0" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "obs_cols = ['OBS_ID', 'GLON_PNT', 'GLAT_PNT', 'LIVETIME']\n", "data_store.obs_table.select_obs_id(obs_id)[obs_cols]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Make sky images\n", "\n", "### Define map geometry\n", "\n", "Select the target position and define an ON region for the spectral analysis" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "target_position = SkyCoord(0, 0, unit='deg', frame='galactic')\n", "on_radius = 0.2 * u.deg\n", "on_region = CircleSkyRegion(center=target_position, radius=on_radius)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Name: None\n", "Data shape: (600, 800)\n", "Data type: float64\n", "Data unit: \n", "Data mean: 0.000e+00\n", "WCS type: ['GLON-TAN', 'GLAT-TAN']\n", "\n" ] } ], "source": [ "# Define reference image centered on the target\n", "xref = target_position.galactic.l.value\n", "yref = target_position.galactic.b.value\n", "# size = 10 * u.deg\n", "# binsz = 0.02 # degree per pixel\n", "# npix = int((size / binsz).value)\n", "\n", "ref_image = SkyImage.empty(\n", " nxpix=800, nypix=600, binsz=0.02,\n", " xref=xref, yref=yref,\n", " proj='TAN', coordsys='GAL',\n", ")\n", "print(ref_image)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compute images\n", "\n", "We use the ring background estimation method, and an exclusion mask that excludes the bright source at the Galactic center." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(,\n", " ,\n", " None)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "exclusion_mask = ref_image.region_mask(on_region)\n", "exclusion_mask.data = 1 - exclusion_mask.data\n", "exclusion_mask.plot()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/deil/code/gammapy/gammapy/cube/core.py:76: RuntimeWarning: divide by zero encountered in log\n", " log_data = np.log(self.data.value)\n", "/opt/local/Library/Frameworks/Python.framework/Versions/3.6/lib/python3.6/site-packages/scipy/interpolate/interpolate.py:2477: RuntimeWarning: invalid value encountered in multiply\n", " values += np.asarray(self.values[edge_indices]) * weight[vslice]\n", "WARNING: AstropyDeprecationWarning: The truth value of a Quantity is ambiguous. In the future this will raise a ValueError. [astropy.units.quantity]\n", "WARNING:astropy:AstropyDeprecationWarning: The truth value of a Quantity is ambiguous. In the future this will raise a ValueError.\n" ] }, { "data": { "text/plain": [ "['counts', 'exposure', 'background', 'excess', 'flux', 'psf']" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bkg_estimator = RingBackgroundEstimator(\n", " r_in=0.5 * u.deg,\n", " width=0.2 * u.deg,\n", ")\n", "image_estimator = IACTBasicImageEstimator(\n", " reference=ref_image,\n", " emin=100 * u.GeV,\n", " emax=100 * u.TeV,\n", " offset_max=3 * u.deg,\n", " background_estimator=bkg_estimator,\n", " exclusion_mask=exclusion_mask,\n", ")\n", "images = image_estimator.run(obs_list)\n", "images.names" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Show images\n", "\n", "Let's define a little helper function and then show all the resulting images that were computed." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "def show_image(image, radius=3, vmin=0, vmax=3):\n", " \"\"\"Little helper function to show the images for this application here.\"\"\"\n", " image.smooth(radius=radius).show(vmin=vmin, vmax=vmax, add_cbar=True)\n", " image.cutout(\n", " position=SkyCoord(0.5, 0, unit='deg', frame='galactic'),\n", " size=(2*u.deg, 3*u.deg),\n", " ).smooth(radius=radius).show(vmin=vmin, vmax=vmax, add_cbar=True)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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6KtgH+1MB/Lpnx26pYo1E4vyRbjj6nLIwuK9UsDuYkCm5jFR1C8C/iMh35oce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\ngg==\n", 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OWnrzWf3q1f2kbV1EnnafJHe6Nj5uumf7l9qV3ctXVNKkFrZs3eQaX3kcVK3W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\npoehilX9O6q2zECVbfThes7fAOAG20m+YNybUP34XQrgYlRxEaByLb2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DSzeSakbwmYWkpWyfnex6Bpo1KEtIsws1YtPsSsF/BXAlcSnGIm+/gGcNqRo7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\nwMzuy8d+MqX0lys2QkYr6ZzqUn0aePtKTyCwtlC7Pii9XjsoDV2aFD5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Vt5XSnEipbdXUYp9txqHA0krwM/9XjYmI7RttiMfy3OjoPZzFY7g9jaIcaJ6L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yQbiJz8HOlJ4CzgB+Zy0a4/Sw5oGc3yG39nPOxFTyR4xjskkTDcMKspkZOPvs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\nmodhyyzgfoYtRaU5jGuxHxF5u4gcEpFrCudFRP5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Hnh/TuXxSRA4E3gRcjVPm3tVESMMwDKPAhE+LBbgJeFBs4RiDfrbq5KUi8kmc\nenT/drI1Q0ROwuW1mQYuUNU3ish9cInUDsZ1dmeo6h4ReQ3wY1V9b58ypQi4jJnWryvTto4R+Qq2\nl8w1+e4druCGubud3SVf0Yj3WIuU+FXEBPzVndPEy6qJB1IbqtTjFJpeUQupSunSRLNLYX9q5QY+\nKL8/MavkpfiuquxwyTqEyXZFFpF/ZHFdlyngGODbsec3+hZUdbeq3gF8uMl5bRCRaeA84GTgAcBT\nReQBwDnAW1X1aOB24Nl9y2IYhtEL2RRmzGv8bMHZWK4Cvga8VFX/LPbkmGmxEJXrNCfi4cCNqvpD\nABG5BJdE7UQWM3NuBl4DvBPYwaJ9KEjfU+rQw+CmhlSaUtH2siQtzDDmJUtmWbS9RIyGY9JsNPH4\nirbTdPTsmSp51LustZCKJhpejGZX106q62mSBqYu2+uU9HOfq7SoVO1pWldkbxO5CLgn7qZuUtW3\nF8oIbjboFGAncGZZhntV3Swis8Bv+l3/0USetp3LOBZ8OBz4WW77JuB4YJuqzuf2HQ6gqm8eg0yG\nYRhpSB9EOQ/8tapeLSL7AVeJyOdU9Xu5MicDR/vX8biB+fGhykTkBNwA/sc4heJIEXlGZ1dkEfkE\n4U5EgHvEVN6R0JAxNDle2tGJyMXAE/P7QtOnK2FNoTLaOiCV2V6KCS3X74B95/zGbC5qv0yIugaT\nB+yMmSr7SablxOT7SXltjeJcJkiDKSPVOhgpvLoqZBGRu3KbH1XVM5pVntYVWVVvBm72n+8Uketx\ng+9853IacJGqKvB1ETlQRA7z5xZ5C/CHqvofACLym8AHiFzmvkpzqdIExqEl3AQcmds+AvgpcKCI\nzHjt5QjgF2UV+C/7DAARmaBlCA3DWOmo6j6dK+lpACUiRwHHAlcWDoVmhA7Hd0oF1mUdC4Cqfl9E\n1sXKUJVb7N9iK+mJbwJHe++wnwOn42wtD8VlCbgEeAYuLXQUXadPU4cpxLYVe7yNg01Gdk4xJf/d\nO2Gfnc4QIxt9UsvZWf++glW+VLTxXur74VnuZYpTUPsDaGD2DX0PbbSv1AZVBW32XR0iIlty25tU\ndVOxkIjsC1wKvEhVtxcPhyUJskVELgQu9tt/ijPuR9HW5tI7qjovImcBn8FNh71bVa8TkZcCl4jI\n3wHfAi5sUm/XTqW4b6XM3MSSXU9+pcosNcy+O0umx/qaJqm6ySm+gOK0SUxHETq3OB2WwiV2XCxH\nepbS+1Jh2B+eW/hvnJoqT1RZ9j2kTnPegYa3fquqHldVwGsWlwLvV9VQJpXQjFDZ7M/zgRcAL8R1\nSl8C3hEr7MR2LgA+1fPlhX0uSGLKAAAgAElEQVQ/xHmSGYZhrFhU06Upg6En2IXA9ar6DyXFLgPO\n8t63xwN3hOwtPhTkQu96XFZXJRPduYyLlLbm5ZguSzlALk6P7drlpsagYnqsy0i9Kllk0PvCj1zL\nRrepUnXUucDmt8elsVQZ7sdJEy+YUCqXun/UmCmv/L0el8bSA4lnMB+FszF/R0Su8fteAdwLQFXP\nxw3WTwFuxLkiPzNUkaouiMihIjKrqnvaCBOTFflzwFNUdZvfPgi4RFUf16ZBwzAMI332F1X9MjUx\niN5L7AWRVf4Y+IqIXAYMPeMqtKIlxGguh2Qdi6/4dhH5tUjhJorQgGs1uSKnJK/B7PKBlbW2lyYC\nVvmCV6mSw2PZbyhC26mjjaG36H7cF1Wj/JG0Lzp6rGy7bn8VTR+6Ntpk3XTCEs2lxvY3qT/wxNNi\nPfAL/5oCGq/tEtO5DETkXqr6UwARuTfjCaI0DMNYtajC/AR3Lqr62i7nx3QurwS+LCKZa/Kjged2\naXQSiBocNxj8TozDTU2ZWDlDmkut7WW2QgOo8raKFSbkCx6jwXRJJV/niRQqk5qyxJQx2shyGQdD\nNPGVj/XFb7OE8QSx3OazKkoC6e/A5Rz7P6q6q+r8mKzInxaRhwKPwM3nvVhVt7aU1zAMw2BFZNz/\nIXAoLiof4E+AX+Jyjb0LH6BeRlX6l/ur6g2+Y4FFX+h7+WmyYLKzSaeNxlI1EGozMCw1MQBFLblL\nrFeTtssYDJZ6jkHO9rLLay5zG9z7zHS5xlKmqeT3D5dPbjPyzC6kg1FtiedRSexK6JxoEXMaR9L0\nL4GF0yZFY4nRHJt87200lXGlrWnK5NtcjlXVR+e2PyEiX1LVR4vIdXUnV2kuf4Wb/npL4JgCJzaT\n0zAMw8hQJj6ZwqEFe/u9cJoMQK17clX6l8yucnJxbk1E5loKO5HUaSydEkI2aHc5qNNkQprL3UOv\nsdxSyOBS8s8WRvpNouDbMHITSzSYVMSoseNO91ImR19tx2iDVR54XR78FOknUgS0pWCy1woD+Guc\nvf0/cSaR+wB/ISL74LIlVxJj0P8qLp9X3b4VSdXvpO8//0nT0iHcoYYCK2Gxk9mwMTc9VuaW3NYD\nIc9gocFNC3Qydb/kNkb6fJ11o5GQIb5u6JqfQqtyPa6Sa9JY7gc/9J1VlWlyrKkoEzwtpqqXi8jR\nuJWHBbjB7dbdwNvqzq+yudwTly1zg4gcy2Jwzv7Axq6CG4ZhrGV0wjUXEXm3qj4Lv7Sx11guAx4T\nc36V5vI44ExcYrO3sNi5bMelFFh19D2r0feArYtyUGZzze8vZkzescO9z8256TGZW7+4WuVMZMBc\njL/0EhfkEuNvqZo5WBzhR92gFkGRTf27YVTrGNFKGgxpl+MfKkUG2EmYF+5rzju2ysm2ufxcRN6p\nqs/3mVk+hfMSi6LK5rIZ2CwiT1LVSxMIahiGYXhUUy9EmRZV/VsROUdEzsctEPbGJn1BjM3lYSLy\nr4XcYn+tqv+rncjLx8IApgNG+1gDftcBVoqBWop4wKpjMfXn0/HDogaz39yO8nT8TZIIJh/hFr0U\nypJe5rSWaFvL1OJ5tX7dEelZMo2lL7flvmkSEJlCY2ni89/0/DEwiTYXEcmv3vsN4G/9u4rIE0tS\n+Y8Q07mcrKrDaTCfW+wUYMV1LoZhGJPCBLsi/1Fh+1vAOr9fgWSdy7SIrPceAojIBmB9A0EnigU/\nUMlrMLGj9qY5EOtoE6TZt/dmlfaW7cvuYaa5ZHks53bsYd1cltTSp4SZGSw9uYndo2grCX1ZrVLq\ndxjtBtXcyBsccsErDl2rUrvERLzGlBsnSzzwGtizYv91x2Gv6et+TqhBX1WDafibEvPNvA/4VxF5\ntog8C/gcET7OhmEYRjmKG1vEvsaNiGwWkQNz2weJyLtjz4/JLfb3IvIdnPuZAK9T1c+0knaCyGsw\nXbzEYs5pYkLQTDtgUb4QVeEVVYM5KTmmDTSkrGwx7mXnTjigGFg5u668omFjJSPakAZTd5FVqURi\nbtBIosqa9DX5eutYorlEaix9D21D/1ptF1hbUkcDjSWkLted02Qp5Kpz2kRKp2JCNZccDw4st3Js\n7MlRK1Gq6hXAFS2EMwzDMEqYUJtLxpSIHKSqtwOIyME0WL04ZiXKRwD/CPw2MAtMA3ep6v7t5F0+\ndDA6ci/zIIslxrOsi7PTQk39McHGMZRpNHkyjSUrm8mWeY/t3Akbdzp1Zt0wan+ve8/iX0a8xmKW\ntM2XiVQD2ybBTDmHP6KFLFQcaxJvUUhUGXNuo7iZQtkUmsyS+iK8x2qzKfS8SFusHB2Y9CBKXHzj\nV0XkI377KcDrY0+O6YXOBU4HPgwcBzwduF9DIQ3DMIwCk9y5qOpFInIV8Ps4k8gTVfV7sefHTovd\nKCLTqroAvEdEvtpO3OWnOPpuQhOX+tCAutZcUJHnrEyGUEbzokz5dpte//TUooZSds4gp8FknmOl\ntpe6JWlDLPEWK45YU+YjC8hVNmoPBUpVyRA6t/i5K5MUqd81NimFLSRmzqkuD1yPTHoQJYCqXici\nvwLmwGVGzrIk1xHTuewUkVngGhH5e+BmYJ/W0k4I+T/ZkHsyNHu+q35jbZabKJuCKhr4Q/VXpXIp\nk6XMcaDuWL69+fm8W7L71ayfu9vtmM1lTnYfyitsMm3StLOJJXYqKOgyXDIF1aRTSf3nll1PG7ej\n4RRjxD0Jjqoyh4wxTWXV0SQpZc+dTMrqvSfXE4BbVPVBgeMnAB8HfuR3fVRVz66o71Tc1NhvALcA\n9wauBx4YI0/ML/EMnJ3lLOAu4EjgSTGVG4ZhGGFUk7sivxc4qabMv6vqMf5V2rF4Xodbgfj7qnof\nnMfwV6IkIc4V+Sf+493Aa2MrXg1UjSqqNAlolnmiauqsTIPJCM3KNJmhKMrfJWPGYLDUuA+wfsed\n7kNxemwmN02WND1IJlzOlXhc00VV01+h7eh6J2RivsptueuDX0ab6bGy6bCuGksPwSYpv1pV/ZKI\nHJWuRvaq6q0iMiUiU6r6BRE5J/bkqpT738HF+QRR1Qc3FNQwDMPwtEj/coiIbMltb1LVTQ2bfaSI\nfBu3bP3fqGrVcsXbRGRf4EvA+0XkFiDaSlSluTwhtpKVTN49uUwbqSLmnDIbThv7TKjuFIudVSkP\nsSloBoNFA+VdXnNZ57PA7Dvns1tmtpcsPczU1OLkbEoNJjtlMMiNrktGwV2Hj200llaBly1ckIfn\nTmCGxJVCKJloCpq7Im9V1eM6tHg1cG9V3eHzQ34MOLqi/Gm4GasXA38KHADUTaUNqUq5/5OyY4Zh\nGEZ3xjnjqarbc58vF5F3iMghqrq1pLx3+WQgIp8CblXVaF1rTQVRxlKljZQFNRZp44pcdX4XF+o2\nLMneEZkWJ6/lLHgNZrgU8g6XI2Z6NtNg8raXghdSrDtwDEtUr4I9JkTTX3soMLKLe2tQy9HyY6Xn\njFlTifGvL3qNdXVXLpWlkDYoJGO05riQWyXPBwTv2d1NPk9m0B8XfnXhX6qqisjDcT+EWwPlHgG8\nEbgNZ9S/GDgEF7H/dFX9dEx7FkRpGIaxTKRM/yIiHwBOwNlmbgJejUuVj6qeDzwZeL6IzOOmu04v\n0UTOxa02fADwedyyK18XkfsDHwCSdS6rKogyRJlWEKulVNE2zqWOGFtPX9nIY+rNBnu7C0siHzDr\nvcc2bnTvc3OLC4sNU8TUaDKVwsXEc2QaRkRK/xjaxKzUnhOzsFhxf8U1N4kAHjfj1mDybdUFtQ0G\nixqL93zcvSuNeKowvzdNXa4+fWrN8XNxHUcdM6r6WQAROVtVv+7Pv0EkPlZpzQZRGoZhLDeT4mVe\nIC/V3YVj6WwuuCDKKVwQ5YuxIMrGNMmQ0dcgro5Yj7am7C3EvczOuoo3bMxsL7OLMS/ZwmLFFDG9\n3aCCBpOnToMJaQmxXmhVdpVQ2VLNpcZLLeZYzDIGwfMa2MFGHq7EEfu1KSoqNJjiOcN0E5l9ZS/4\nVEaZ9n3Xjg6y5lBNOy2WkIeIyHZcPrEN/jN+ey62kiZBlLtYY0GUhmEYfTKJmouqJkmDXRVEeRpw\nhKqe57evBA71h1+iqh8pO3dSKbN/dPHAahITk5cD0gcztzm3TWxPk7YzipH7c9vd/LXMrst5jmW2\nl4oFxlotQxxJm2j+LjEsMDp0rdJ+ihpLinidkJ1puW0wIdomOm1Kdm8zo+HOu9ix3dWzzS+blXlA\ndkWZzM4lFVWay0twXmIZ64Hfwdlb3gOsuM4lJV3+jPv67cYGO0K5E0PVf3OXDi57v9sbQ7d7RfuA\nmW2LhvziexZwGSNAp04lYtpk2E7EdFjpuS3Tj5R1Kik6l7bTYnVM0pxviLJ7V1hedfeOee70z2r2\nviuRQZ8xuyKPm6rOZVZVf5bb/rKq3grcKiJm0DcMw+jIhNpcklDVuRyU31DVs3Kbh9IQcT5sbwdO\nAXYCZ6rq1f7Yi3GOA+eo6gdFZA6Xz2a9l/EjqvpqX/Y+wCXAwbh0Bmeo6h4ReQ3wY1V9b5UcyzF4\nim2r7QxFXdnQgLYYnFk2gGoTdxY6v7huRTY9Nj0zYN9ZPyQcpobJ0vNnyS2XYaRb5uYbo2GUbS85\nFplccTAo11hGyrb5pwrMFdc9UHljfpOUPeP+Hkd+TAENNWTABxZ80O/27YtadvbMZlO8XVkBK1F2\nourbvlJEnlPcKSL/HfhGi7ZOxuWxORp4LvBOX9++uOm2hwNP82V3Ayeq6kOAY4CTfNQowDnAW1X1\naOB24NktZDEMw1h2EqfcnyiqNJcXAx8TkafhNASAh+G0iT9u0dZpwEU+IvTrInKgiBwGZI59w+GE\nL5PtX+df6rWfE1nshDYDr8F1VDsY9cleQplm0GdqlTaJKNucF6ojJEOpR2phu+2zXOcVWpjSZmoK\n1s24jfVDDaZg4A+5JKek0kU1ocYSaqfOfjJYKNdY2qSWz6h6KLoY+JMHQjaor40aUNBYim7H27eP\naiypVo9UhfkV2GnEUpW48hbgd0XkRBZXHvuUqn6+ZVuHA3kbzk3A4aq6xaf33wK8KTsoItPAVbhU\nM+ep6pUicgiwTVXn83V4ed/cUi7DMIyxs5a9xQDwnUnbDiVPKGJKfRtvAN5QaHcBOEZEDgT+WUQe\nBPyyrI5ggyJ3FfeFnIqK9oeReioSWJZ5jbUZcMWcE1o8rGx55mL9+WN1D3VWxfygH40ur8HsGMZT\n3gGAjKSDyQkwU3hkU/468wGLbTyzYm0gQU+wChtPncYSI0vpQzGVJphxOTWWNhS9wzKNxbsd5+0s\nRY0lOzX//6KqzZ2c1rDNpTMi8gIRuUZErsEtTnNk7vARfl8lqroN+CJu+c6twIEikv3DVNahqvtk\nr5aXYBiGESTF/8tatbl0xgdgZkGYjwfOEpFLgOOBO1T15tB5InIobonNbSKyAXgszpNMReQLuOye\nlwDPAD4eK0+Z11TdIC+v0Ywr5X1Gk9iVsnObTK+HaHLJsb+BfHuZ5pLJctDUbe5DUXPZNy9UjWtc\njM0iFXUaS5VmUeeVltdcatttEEfTZgW5GC+xqHqk+njfDAaLtpZdLn3+7h1OLcliWe7IxbRkmkvq\nx2e1e4v12rkUuBznhnwjzhX5mRVlDwM2e7vLFPAhVf2kP/ZS4BIR+TvgW8CF/YlsGIbRH2s1ziUp\n3gPsBZFlrwWOLTn2Q5zbcieqYj+qBnkhm0eeOvtH1bEmcS5VHm4pbS8xsuSpKzKi2eQ8b4oazAEz\nmQaTW1hs6DlW8CQrCltlsxiWrVmEqytNou5H9gdkLpO3TPsJ0WbhtaolEOoeiiVlIzWWti6WteX8\n/ZufH2osusOZTTIbS/aepdXfvac/hVdZmdNdsYxTc1l2mj4cVSlQ6taAKXYy+XOL8sRkyKjq8Mqc\nC5p0oDF0maIbnlPYnh8syl+sf3rG9Tz7zvqkTnlj/tz6aiFC00pl01VL/sBLfu1V630MP8f++Q9G\np78qZaqpt8k/VLDs1JK3TixXOu+qfflOBdxKkgWX4+w9czvO0hQtzDebfWyETYsZhmEYfWCdyyqh\nbFoo2j03ZPwvlClOl0031Erqpuaq2i+OSUPaUywxU2FtYuxC52Qf9xYCLDPj6roZN8pcv0TF89b9\n2ZIUMSFtpc6I3pZazSLQXqyLc1XgZaVMLdTMui+0ajqsqv6U02FtXMCHfu8+xnrHDu7e7vZlmY4z\nzSV79jT39fTVAazZIErDMAyjP8zmsoqI1VLalCmzxeSDHPNyhOoK1ddk1JQqhUuepvcghTazOztQ\nWPHvYO5kfTH4bV8fYlBMzx9qYLjdYAXHYpmRd63XQkLt1VmJ26T/j3FFHn5puXObJq7MU2vQbxCg\n2eRhD9mkisfyNhYYqid3b9vDrd5X5I5CGv3slGLAZFPxoljlNpcxW98MwzCMjIHGv+oQkXeLyC0i\n8t2S4yIi/1tEbhSRa0XkoamvJ8+a0lwgzkMr1t4RIqTB1KWKaeIi3EiWwL75Ei+3NoQ847rkPMwY\n+KC1UDqeAwfO/rIhC4LL3jdudO+zs6MNl2oHLUfKxf11tpygt1iJB1tV2ymvI3h/Cl5jdQ9h8FiE\nptJFvR3ZH9Acs/ecjQUY2lluvW10Vcmi5hJ02kusZWj6xcLeC5wLXFRyPJ+Z/nhcwt/jk0qQwzQX\nwzCMZSIbZ8S86lDVLwG3VRQZZqZX1a/jUmkdluZKRllTmksoySM001jKRuZl5+qgPuAyTxetqayu\n4ACxZvAYaq+sbH7wVRbn00aDKabdmJ9fHFkeOO8O7je/1e3Yf3/3vjGzwSReaKyoaeSHtkXbSp3X\nWMiDLabt4XbC4W7I9tLkS+ukorZ5qAP2leEDkqXP9w+O11h2bFvqGbZtG9y1Y2nRMo2lV82leZ2H\niMiW3PYmVd3U4PxgZnogmIarK2uqczEMw5gkGvZXW1X1uA7NlWam74M117mEtIfomJJA2ZhziraD\nMk2mKFe+vliNqSlJRmOBwWubsXXZIDivwWT3bNGrx+04cN4NSyULHNi4wb3Prs+ljCmxBzRJ8BQa\n2sam589rPY3sJB2824pUaSfDfdPx7Yx4mvWcLCt0b2s0ltsLnmF37YjXWPLNVf1e2zJmZ7GbaJGZ\nvi1mczEMw1gGFJdaL/aVgMuAp3uvsUdQkZk+BWtKc8nbPzKq4lBiIunLzqmyWcQsStZmlFQnd19p\nn4K2qUKZbOzdJWvAnj2LI82FQjzCoi3mTgDWZQ1sHCzGwHS5ASND2oB9pcy2EpzAb5IPLOH4NuZh\nGGofPY2rmxj6yo7lv4dMDfGJwYrR93mNBZxnWCiOZUm1/j3/Oyz73bZFSXuHReQDwAk428xNwKtx\nS8SjqufTLDN9Z9ZU5wLhKarYxI9N1kXp4r6cyZWnD5U8liQu2v495i+1yXRh2fshU85leTq/c7g+\nTIvMwBlV661UdSahc6PaS/TFt5pPHfokN6+/DSGZ6u7h/PzQj3j3dtfJ5A33sLRTyU6pm8Hss1NZ\n0l7CulT1qTXHozPTp2DNdS6GYRiTwjKOGXtnTXUug8HowCrkKlwV7Fin0ce4L1ftj506W05Npgtd\nZ+bmC9e9t2R6I7uPB3MX09lod25u6cEU7rODQbnGUmXorzO415ULlY05r8qQX95QVjBQT/HB99dc\npR3WtReaMixTUXftYmGHU0mKa7JUBUjWaSyh318vrshpq5wo1lTnYhiGMUlY57KKCA3cylaXrApy\nbBJMGWufKTs/T9X8b+zqmCuZsmvQwoA2f98OHLih67ps6Dq3YWmhJskVh4IE3IrLNJWyYXKw3ga2\niyYG8IwmqvXoyb7cwug9i1Hdm8ha587tU7ss7NwztK1kGksxfX5MSpdxaiwZprkYhmEYvWCdyyok\ntXtuE/flJoO8tt5meca5ZETdNXa571UmiyrX0mzf/r7QBp/8cjHJ5XRzofLaSqSm0sTrSDr87YTa\nGXoftvIaC51btLFIuP6YNio1sMASxcDenW57+3ZGNJdsqeJi+qAqjaWNaCmwzsUwDMNIShZEuVpZ\nU51LmRZRtdAXxNle6vaHjrVy3CnIHzqniZ2mjnwcUJE677pUhEacdc5Q+eDKzKMsez/QF9pno5uU\nl9ks/mUqXnupGg6XaCpNRsFdbmmM92EjzajqQR0+zIUGY4JEY2xGWT1eDdm90+3PtJRt2+I1lqrm\nmnxXqbQZs7kYhmEYvWCdyyqkydx/Fw2m6lhMqpgyUtlp6mjjnRZDG2elwWC0rTL58vEvRU+g7D1L\nIbNxo/uwbpbFKP46AsPhosda2SnjpEyrXaKlN4mJyfaXaSgx2Q+aaDVeDcliVvIaS7YdY2PJ0zZG\nrI/vzzoXwzAMIyk2LbaKqBstl9leMkJ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TV6OO8zo0zwECSW1FcyfyaGP2XhbxeiPuXpTwugnlUQZRAqsl/FZdwLf8OPqi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\nselEcLQkAALPcRQJgJLegguOi/I+M7uFKNU+aczCF9Eh/C5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B79Z6zO5hZNYb+fKSemOi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\n", 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vYxsM4KVztvzN00b7WNhuVSfwmF1UbFPg2J5j7WkdwKCNIftExkPJmufjPR1F\nY5OBtsAzjKweaKOYWyQP8ONPVkdpMywtEadEij0QQ7AcRJ/9+KhNru/ZnKMOqFIJcp63lJ0mtheO\nRvvy+254ptNiF3XMbvCYPSTP2o/5fIyNAaOzc4/LtFC0I1Jj0QN//byWWu1+FdHEOB0R2QGXV/XN\nqvpIsH01gBZVPWr/vwIN9E6up4hbJ3ycYEKEvPO78QbxgYxTnszCL0BUbVCNwIeOL+QO+Id2pbXV\nXmSdAC6y/59n7TrrxHHrxD0Vfk834q6oZcqTF57rjf5Ug9EB4rtm9nzSzjNQ4vjsPw2NFN14jFn4\nfGB8WXBM+629zM6/dRtwv+monjw8t/9xLRsu2k+ieNHlgsUXYxzYmwVUj21DscBxV/HuReCc4AJb\nzkV4FsUZnNlutpaCwpPWPgM/Hrxnj9uNoD4my3MQqzc5N0KVX+gGjmA7q6WuAdBn85FC1jN20/g8\n0JGAC80QvDAR5ylky/EKX5Cl6lLNC4pc43RE5IsAroKz/QwCeD9sqqrqZwC8Dy7t3P8yMwldo08D\n8He2rQ3AX6nql3PrWIQsNp0wM0ErnJDzoUZ1KCEhIWF5IN/ca6r6xirf/yKAXyyx/QCAC3PrSBVk\nYTqvCf6fAfCUqi61TCIFxGk0mp0QsVZQIoslr7Cme6FypEl0dCiYMJUHpcVd8JIiA+mIcjVt+uEl\n3l47+XoTc8+y8zEwNnS7prTcby0ZAo9/pZVR/alrVwNXXeU+dDj+dc4jj7r+7nIO1tNfcF/Pwht1\n4wDV2BjN8RmGl9C5jX26xHSKl5r2uqMDeNhoUVwxlOPD8/E61qBY/UVVJceNvyUL+wbKB5LGwYm9\nwTnJcqnmLOhHSiCugErE834y+J/OAXSDvihKdLWSN3jGH2fE5hiT1tbC9Hk9VPGSPZ4M9mGfigJh\nrQOtLb6KLl2iWUl3yKhhWFEVcA4XsdqP84aOEbxnrfDPXjnWOC8sw9IGWRwJPqyqj9vfk6o6IyJ/\nUf1nCQkJCQllsQCOBIsBWZjO88IPVsTtkjL7LnrMRG0z0RK1WfowGrUF12Br2+FtNoXqhyZGc55S\natsNL1WS/VCqpI2HjIHHWgFvXD1gHT5qdINsiFL/MLxESteXi0x032LU5wwTJa98rcnyv/YbAH7G\n9rZiBuc7w8rOS28EAPxW3w0AgB03AQ+aYYTSOaXjQs0WOyxTDv1owjtQUEo2koULTZJnyqKREeCQ\nicBkR7TD8BhxYGxrsC2s4ROCfQujqxmlx+NS0qaxNEx1w+PGdYfIhjg3aFsqxd4552ImOwrPHuMS\nARwXlh6gjfDIQd9vjk8lh4EHFttkAAAgAElEQVRyIPOI3ek7UTyWnKeddiGb7UfT08AzNgBD1j+y\nrdjV/nDUhohZTFifiaz0ABqAmaWpNBKRFjiV3Ba4V8T9qvpU5V85VMoy/V4ALN7G+yZw86BhgUMJ\nCQkJywJLsJ6OiJwBl7/tZQAeBfA0nLxwpohMAvgsgButJE5JVEr4+XsAfk9Efk9V35trz5cZKAnH\nqdcpxYUFt6olxqQUG6Y8WRvtcyyKcAvr1dOzjdIr3UxZFG6TiXWUQofhpVmq9OOCV2PBdrohn2fH\n3WuhbDusw2ddYFf/+tfbnu8AsDW6ghe7ZruLXVvz8Z0AgF/a/Se47xtOLn/CxHq6wa6ww66wGc00\nRCcmvJTPvu0yKZmeVwdMhD14EHhiZu41EbG0zHu4AsVslOND9khWyX6cgGcVZB6nW9tvLe/pFIrt\nP2uifXgMPsylUhpx7p0b7Xsw6DdZbq9RMxYdXGU3mkxneBiYoPux/YZzOWZflVBg5taS3W3CXJd0\nwI8d5+1KaycmgCG7Z7w3TBRbzmOvDeW1DNxOjUAPGmz3XXpZpj8M4NMAfllV55S+scDSNwF4M4Ab\nyx2gEtM5W1UfAvDXInJx/L2qZvHcTEhISEgohSXIdCp5yFlg6R9XO0Ylm85vAngngI+X+E4BvLTa\nwZcjChJZ0BYkSGtjphMmPhyw/+PYDx73+dYywWIHgtQ71p4wca3NftRubXe3TxFCjx8WlqPUP2bf\nt1sak+npuawH8NJg7FXVHlwjz0NpmUwH55qsvZXVMmKWE4JH/q+u+VXBeb1/CQDYfrtzMyOjoecS\nbTm8ni74QEZ67NG76U4Tm47ab0eni1O18D7GMSzcHpbQjmORyEhC+wkAPA4v5XNYmBj17J6513Fg\n0kvuvM9xGh96ya23thM+lod9Y785bzba0O6c9Qyh31qWV9+2bW5fOFc6O4FuE/9p2+F9j+fGGKp7\ntJHpHA22hewcCLxO7Z/n7B4enZjr7QbMZaHhsfh5G8onQGVfnra2FT5Rby3lOTJjiS06InKlqn67\nwvfdAHaoatkKIpXUa++0f1+lqnMYpohUSjCckJCQkJAFS89l+g0i8lEAXwZwJ7xNZzeAl8Bpiv9T\npQNk8V77LrzDT6VtywJxepE4TiROkzKNuWWEQ/AYlEK3ojjmhZIX4wdebCfcbRumpry0PzI199xk\nM9R/9/R45sHU85ReadtZFcU8DA/6/sXZEOJr7QiuhcenDWnVRpP7z2SUyVWoHS8CzrwDALD2ERel\nMv2IOzujzik48ryX9AHbbBAphQ/YtZHVUIKdQbENgel6SOt32wXSQ/DR6bmefoC34cRMZ8DaIXg7\nAT23yMJ4fxhNPzrp43vidDG77F6dZ52kh+ATg8C/WR4aziP2ZbfRI3oR7hwDnrJzkZ2S4RAcW/Zp\nZgbYZJ3os0HtMebBpLact93BtXJbbC+jzfBha08iyHhgLVkdWddYcJBttEvavef5BHPxdNCSvce2\nHZpDyeqnK+w7byxN9dq7RWQdgJ+GczvdDOe99iBcduqyLIioZNPZBPceXCUiz4e/h93w78uEhISE\nhHqxxBYdAFDVZwH8qf3VjEpM55UA3ganAv3DYPtROFfqZYc+eMmUkhclyLiUKnXdo8H/1G1TiqbE\nSgn2tA4voW81kfuYiVcbbXvBJGLS6IlpP2+nTcwUOwHZBiXgTZu8bWUdRUmjOM9NuIPQHlRgR/Cx\nIxSAYwkyjJnp75h7brKtQmW53XtsQz9qx3RBxH1qyPU39DwLT0Pp/8orvYfbfaZl/qYZPCh506Yx\nDX+vyOLOt/Y/WF6OS8wb7zE773e+65nmURs7Jo8kGEdFKTrUVfN8tEuQcVKiHw/2ibM8XH65a3/s\ndTbYV/4YAODCqefwmq99DQDwlVvcOA2auM77T6Y8NuY9/nhuslyO6aP7536emfGF0sjMthldWWFp\nEpih4GRwbWQ0jHchq+Rrd8DaafjnrMCcraVNhwy9t9czNG5jeXiyIWbmOGo3oA3+mYvZC5/r0O7a\nMO+1Jch08kAlm86NAG4UkTeo6pea2KdFi9BQzoehJ9qHrD8MbotfNnHFRBqKj0z5l/UZ9lDzRRAb\n/IkNG/0+/I6GcqpJuFBtPnMNsM0M9+3m0DvuUmWusrfSyvYZa93X3d1Aqx2vNTpPYbELDM18Ca2M\nrX5t5uawYj7V558BDh8C4BN6Pm0rx4T1kYtOf79rN792b2FQd377OwCAmRk34lOWqZSCw9PwDwRd\nms+nmo5VTK5wDhA7d1Dp8nihdz/c748Tgve9VDZqLij8Daubjtr1hN7v7Oc2m3w0+OPFP+7aC19t\nG1YD57qY7lf2/4M7/u3uVd8SOJUAbgHhokyVIT8znRLVaxzjrk7/oufc4n0nTrMFanoaGInUXrEK\nk+DYz8I/P5xGVOdxsWTfOjqANfadRvOR6sBD1m8KF1MoXnQKspG1oQMDXdIpNOZWQ0mxZIND54Ms\npQ2+JCI/CZeZoCPYnoq4JSQkJNQNXYpxOvNGlizTn4ETBF4CV/znpwF8v8H9WpQIq3SGwWOAl+I4\nhQrqEhQb4In26PMUvJRJxkOJjmovshi6+a7v9eozMg+qR7h98y6TFc7cA3SaIpA6iFGXLnRibK7E\nRUl2dtbvyr5RZRa7XXd2+uA9gqqNDdOx0qke9BTo265dTo9D6XyDUROqHTfvtus8+xyvC2pzpv6X\nDv0zAC/1m08CHpv00jDdrPfQ76HbQjF5sZtcyp6dZx/CgQNuVtxpTCeumho7m4TBiTHbfdKuJwwI\n7Ylb+2dtr13ARva239qzgbUvcP+++TJ3PS/7hvt83/2upV5y4FBhTo1FIjy3s6UarqfHp8jZsHFu\nnzhPOfeOTgCP2viO2sBwJtDFn1MmZD4cO7qU8z5cdNHc8x2b8GyXzIbqzgfsfHRuCLUQ1FTEz23M\nvlag2NnjJHwJh3lBsWTVayLyMwC+bDV4/iucY9mHs8RvZkn4eYWqvgXAs6r63wG8EL4cSkJCQkJC\nXVCnE8z6t7jw32zBuRLO/n8jXKaCqsjiMs18j5MisgXOg3NnXd1c4phEcaAbU6x3mIRHozEltSkA\nh+z/OIUKg/kop66E10eTIVAQiu02haqgE34b9yE7Kth/SFGGDhXE1qf3O1sODcw8HpkKdfSdnb4P\ntKPEbGyziY1ru/1xeB3sE9rpUMwRqgfbgR97iTuXXdzLzzXJfdQci3nxhWhUABMWdtjp+OnaM514\nfvG4M1bQvtGz39tUKEmzjMPxYTdeK0mLuEPvemzc6O4wmQwZCSXkNVE9ijBgckf0G4I2hn54RrCz\nZe6pCx3fzABb8yyYU+vTjCCbf9Zau+FPfwQAsGf40zh4cHbOcTlveJ/Zrurwp+U8id+FHK+13f63\ntAXOmv/2mbQNBXYZwM+V2Vn/P/u03Rjsth1kd45prjx4CA9ZOYoH7PgPGKX5kfWJrJHPXT/8vSkw\nTGtJ9qjR6IC37/E5XYOcmA6wZJkOvDLnJwF8WlX/QUQ+kOWHWRadfxKRHgAfgwt0VtTpKpeQkJCQ\nYFjC6jUAT4rIZ+ESf/6+iKxENs1ZJkcCVgn9koj8E9zif3aFn+QGEbkawCfghL3PqepHRGQngJvg\nHMnugqv3PW2r7ICqfj7vfoS14vm/RvtQWmPizNUmqra0AAMmeVG3zEGnC3LozzVuohaZAu0mFGrJ\nQCglHp/20jlrwXMe0xZD76O2tkOF/ymwj1rfuuw8NH/Q+wvwku6g9Y3SIF1SaeZY213MsgqEY5tp\nZNWYjnzNvngpMs5VOLn0DPfvC03D/kJLDnrcZFZSRBp7RkcDo5SRduvkpk3DhV24mdfK+8fDUZpe\nP+Jk4m27zN+ss7Nw/T12j7YYjdlqIjKl/pNmRgm5Xr+12802wnlExtjS4seUzJLlvemhBtBrLWQ4\n5WCzbsMnXfueHvxE/xfd/0Z7j464ycc5QgYxGswvjgvtJ/wcs+CeHt9f2gnbAtsQrxHwrv5ruoBW\n2+e4HY9j7A/sbGwrhp/CzIyb8LRl0k4TJ0alTWZPu/fs5BzeZ9fGZ5RMR+Cf04sDT70PmolsfljS\nLtP/AcDVAP5AVcdEZDOA/5Llh1mfdgCAqh5X1SMA/rr2PtYGEWkF8CkAr4IL1H+jiJwL4PcB/JGq\n7oErmvmORvclISEhoSFYukXcNgP4Z1V9VESugstOkMnBLIt6rRTi+MBG4FIA+61+N0TkJgDXwInG\nb7J9bgTwATgD1gS8/akmUIiK09VQl0v97yr4dPWUpp4yibTTWurvKZCF3lztJlUVYg9M8qNUOzTq\nYxhaTdRaEwV3kInQa+j4FPAjE+opmdLbKJYgT8z49B6MLqFOu9d+c8gCKGm/aW8HBswYxQx+A+y/\ntS0W77JlC7DT+tfVZ1dJyhRWSgMA/L1rOr8CrGZGpZdby5Hnxd9h7WPwFg5K+TbQK+2hXGkBIp0u\nJgffvwMYs4LeFLGtjeOaRkaA4dG52ziGxfYN17eurunCvjFORvYtSu/bZ4DtdoksJBd7IB7n/e/y\nDGFVj81Uiukvf5WdiUFEdWDFh4E3X+X+twwma+5xN/SS274JAGhrcxOXjAfwt/FJmydMpcMxDZOG\n8lmIn4mV3XY9HeYL2mtc5NznAVtcGtMu0itGpnKAZuI0n14rsNFYVyGQ207DeJ613cWMkjMt9mbr\nALDbhvullgtp/XmbgW/QUjsPaL4u0yJyA4DXABhW1fNKfC9wmqNXw5mo30ZvMxF5KwqZdfFhi9Os\nhC8B2CsiuwH8GYCbAfwVPO0ui3oXnVi71AhshQ9sBlwKpMsAjKnqTLBtKwCo6h80oU8JCQkJ+SD/\n4NDPA/gkgC+U+f5VAPbY32VwwvplItIL4P1w0osCuFNEbrZ0N+Uwq6ozIvJ6AH+sqn8iIj/I0slK\nudf+EaUXF4F3vGokSrGp1hLbyi6AIvIXAF5f7nsiLjFAJkJ5m2aJTgBH7P+nopYORafbHFpr+uWZ\nGS/h9pvESql2vZ3gkEmLj436yHQyKvp8FcJDmHbkbKexPjF6FA+avWEkiryeplAYRITTa4p8Iywg\nF36mfagDPr6BLClOlHl24GHXtcPEWdpwqLinPYW5aIbMX2jiGND3Fff/btPakh2tDf36CCbyp6Z9\nN+bC7BqrTDvfvgKYjaaI0ZfQAxBwNguOXacNSJsNVFdkLnmOqf0nfMjLIza4PAbtZb3Wcmy7WzzD\n+bFXm+Vh9xlzOzNsM6Gt1RvGtpiXWsHgxjLf88XLXCMvdO2F/+Jaow4XztwMAGhpcV6AIyN+7GgT\nISEhoWW7ctfWAjtpecSxA8bV9MwYW9xhg0sb1QtehwJ722rjcb6Ffzx5r2uNjT07MlsoMU57KJ+Z\n9V1z+0IMD3v7JG04zC/B5yAsT0Fiuf5iK7X34hcD+AuICBUFAPC3qvpm1ATN1RVaVb8lIv0VdrkG\nwBes+NrtItJjtpirANyqqqMAICK3wtlrvljhWCdE5I0A3gLgp2zbigr7F1CJ6VRiDs1gFYOYGw+0\nDe591yMibcZ2tsGndCqCTYI3A4CINIOdJSQkLBOoapxysXY011ZTSnu0tcL2Sng7gF8B8D9U9TFz\n8PrLLJ2olHvtX7McoIG4A8Aeu5gnAVwLZ8u5GC4rwk0A3grgH/I6IRkP2QAlfLKPDnimE+ZxAuZ6\noAHArEl+naNAj1En6rmZqJEkYJ+lod/3gPOMAPyNYewH9dXMPYXLXaT5irExXHjYHYCeRJNRVHt4\nPfQ8i4ttsf9kbMy4sDLYxijuOFaJtrCWFgRBQ0ZUGSMzbJzQ3OdOmvGktQ3AtPlzUWymcYoXSxaw\nZiN8BFQc2UIUysi5pm8DwGwIfMCNTcQxUK1twHSk4++1AeNlrY4YzxODwO1G3ujQRAbIZAYs0EYv\nqq6uwKvvUssccLHZtQpj8Kj19ahnNudZ+lFh0jWeIS9wbO34u8xYZ+N//qRnFyRkLIWxxsaFNsft\nL7Y+X3opcNjd+7YDxnSMMrMQ255Ndn9ovMKZvg8FXz8TorfaDbLxeXIIuN/oyv65e2LK+khWxmwJ\nB2aAH2LubwjagcJZFN/zwnydLxTQmIVXRp+I7As+X6+q19fw+1LaI62wvSxU9QER+W2YIkhVHwPw\nkSydqNem03CYvvA6AF+BU6vdoKr324XeJCIfBvADOCNWrojrn3Bh6Qi+myjT8nuq3dYCuNAOQJq+\n7grzIe1z6qMzx/8NANB6i18oeBzO94IxupPG5O2FdvugU1X92Kh7qHvsJfgje6JM+4bR4FqoSqTm\ngdG+O+0lQpVEWxtwxFaZdSNzf8OFi/VMpqeBk0PujdIal/Ccsgd18tjc6+jv92ojLlC0Ug+a8MXV\neU1vcFaKBHxRzkbbbeS2efVOwaGA6p4oG/eGPuAJkyZi3wCqN/lyZcDj2JgPQnwk+g3lAy42G4PM\nyHSBZ5AjVtvberVpbDheo6PAJlMpCpevF6KxMCM9x63LVIC2+K3bdhLr7F719LgllnOEal9mvMYZ\nFwMbnf5xlQkTfSNunhacbAqDQTwJ4G77nyINxb252WaPjntVBxcQzgSK7r10g7fPR+HvL/eNhTwK\nWNt6/L0+co9zv1lL1XAOqJHojKjqPLxGSmqPhmz7VdH22yodSER+Ck7j1Q5gp4hcBOCDqvraap1Y\ntIsOAKjqLQBuibYdgPNsS0hISFiyUAVmi53wGombAVxnnsCXATiiqodE5CsA/j8rzgYArwDw3irH\n+gDce/g2AFDVu00rVRWLetFZaMRG9nZ4JwMyBQ4gJSdKXTS698JT9kJaGnoSGFtZu8OpLVa1HMEE\nk3barmQ+DAA9NOAYxGaqoHp7gW4nXZ53nqVjMXGNKUmmzHt+EMWJJnk9NNmTjW0M3Lnjcgpro8SQ\nZEUTE17Fd9qUYxwF12l2iskpyW7Oe56X9h+wlDZD5o4aF8nZuAFYTeXVw1FLb/kTcz93rCqkvylE\nDxrFWdHVbtfsxnRkBBg0psP7R4ZTrl3R5tU5ZKUcUz6BZ0ZJMfv6gHV9rDHAEEa2kSpw+niQS4hy\nOJ0pGgU7zwq7R1RzchwnjgEjTum8xsa0rY0lRO0iuwI16HpjcaZC3N5iLIbXRV0j2fHT3wHavuf+\n7zAnklXMKGpM0FRcLS0+ZRBbzhDW7aHjC9lLH3xQLn/D54JqNb59u7r8tPk3q4n57Gh+Hme1adcq\nQ0S+CMdY+kRkEM4jbQUAqOpn4AT4V8ORwkk4uwxUdVREPgQfm/BBOhVUwIyqHnFe2AVkuposWaZv\nBfAzqjpmn9cBuElVX5nlBAkJCQkJxcg7C46qvrHK9wrgXWW+uwHADTWc7j4ReROAVhHZA+DXAXw3\nyw+zMJ0+LjjWuWdFZGOlH5xqoA1jM+Y67wKekYxGn8NqoXREoOB+DiMvSRHMH3fjxiPoYR16+w2l\n6EnbcLcJiW1tLvhxw5a2gsTY2uVk7J1nup2nzSrO37RMew05mQ4lPaatp7DJdDljY8AzdnEMdqT7\nMIXaziBlDM0xp5HekTrRGF4oZ2pS9FpzEgAKT+CJAacz5zCdPmPusps2A3uokrYEn+QkTw/YBZgt\nhAGH08eByShmmB02xrmhy9213ROjeNgI5MTI3J9wXOJEpidmiivBUlrmEPA20929vx/AmeYEUMje\nafasY2aJeMQY3FAQhPgiOg7QplDNwahe8LgWrHs6ozuNMt99t2M7AE5OuUlRiHGk7zT9yE/bjMIs\nI30Ok7ECfk4U3OoH/XHIrjiPOPA2QdvagF12+DYG+dphyXRip58V8PeIzwGf29Zo3/FxnxSXPh6H\n86ri1nz1Wp74NQC/C+fp8VdwtvcPZ/lhlkVnVkR2qOpBABCR09Gc4NCEhISEUxaqJRMrLAmo6iTc\novO7tf42y6LzuwC+LSJ0oX4xgHfWeqKlDDKd7fBSLSUhDuDKaN+Q8ZAm3mUC+7lfdf5k2ymBW1r+\n3l5gp4lltAtQ029yML5vwuaPTIw7fcdMIaHinnNZZ8FJh7Oz7ldHp32faXfYEbX0yqKAeTgIdKS9\nin3aZZIe2UxcLhgAurptpAIvO+uUawu1kZ/zTOR2p8f/tunO95s70l6Lsnz+7oeBPVbFixxQrTMM\nOj1oCX7agrEgNaOdgRI323E3TjuGv1NIzklxmWMXJ7Rke2jIS9K852SPjByMyz9v39Xm7XoF8dls\nGPc4Z97jtzt6+vQIsI370IvsQsrnzAaVJdFnPaD/nV1Z14OuHX4axw84tsVxKZQnJ1t5yJha2wrP\nZMwOVPAiJG2kuE92Ojo6d36Ex7Py6k+Y1mBszJfWoKXrhB32IduHVcX4zLbCe63RAhhqJgAvVbeO\n+7Q6RFyJfT5YfCnVsmE+ZpcsWaa/LCIXwxXrEADvVtWRKj9LSEhISKiApV3ZoH6zS6U0OGer6kO2\n4ADeMWuHqduqliVdbNgIbyup5poRgnaVDnjJaCpquU/si/RssM/3TQJr/z+uffFhJ5WHYQqnBb8D\nigM8iR774pyRsPCau7qODie5UxdNC8AUvC57F1tjK/TGOmDSoYUm4hl4dkePHj4nayLbznOTXqo/\nOub2WmOSKQ6bbcLoy8mHXPvclLcn0QxAGxTLDU/c5toLLtiH1iteZJ3pnntc+9HD33fnYz+6u70J\nofUCS7Ny7jmupdecMYnWhx7Eul43MzpoEDAUHMgMlPCfGp5bBhko9mR83MaUNp2JsRl0MfiTrcUk\nMbaKY3F8Gjhm9pOzWr42p7+4wg684hftTP2YH+IkluTXxjIs9czR795bYNxkOHuMFK3udPddyFTu\nusszTLsOBgofn3T7ruyxkeqxGdbWVmA4z+x318oA6kdtfBhY2t3tbWY0+/B5YDtqdroBu5op+GeS\nlkF6uPE5I3udAQoT/jQm8+1C8QNZD5a2Tadus0slpvObcGq0j5f4TuGyPSckJCQk1AFFvi7TTUbd\nZpdKaXB4gFep6lT4nYjkqdZsGrbBS6WURqfK7At4VhBeLAUT/p7q3vaoXRF8plDEzABMzzFmYa/9\nJqFNTPikH2RilMBiGxJjDrrgY2PicsMsPEaJeyroH6Mo6MhF9Tr7ShkX8NcfZ/Pjbyh1PjXsIsQB\nn3rkpV2OEIvVcRi8y3kdfdNyxkxO+tQpZFuFBAJ2nrvtmN/4BvDyvTbHr7ATPODsDI/f4xjOHSYR\nsx/t7Z7pXDnt4oBWFWJJjI/SbtDWhs30MLOWjIl9i8uJn5jx40M/NJIixvrczzQs5lD61DCwdYtj\nNhwn2tJIYsYKiguffHVszN2VXQdcyYENNBJeadTwBWQ8r0N23AbA0t3MKdIMFGbd41bTwEod3HYb\n8F07daddLIutMZvPujYb08ljhe9YAiK2j7UMun+6uhzT6u31zJJs3UgWfhClitgz6U1z1BiQ4dDW\nSBtbyEBjjUdsL+Az0wX/HlhhPzqZB8sBlnQNt/mYXbI4EnwXLt9ZtW2LHp0oXiRmUVzbvjP6vD7Y\n3hLtE1YYDEE13Cz8BOe5B6zl4I/Zg7UC/mUf53+LQfr/JID77Anhw8xFZ//o3PPOwi9ePO5YdAJe\nH689ZP+8VqrrWuxd1GGDOTztH+LD9sbl+/2889yGZ5gXjnbiKe9NzazbXCQesePT5fy++4AXftu9\nYLv4VjKX4qN2kXRm4Avt8LA/Fx/wF806d/Ou/Y/O+eLk4ZGCquZ5Vo2E40MVII91OEiXEz9EHFKO\nF59E1iPq2w/sMDUR51b0mi+oV4/Aq/oesfYsU2Wd/pBbaHfc88/u80VWQ+jyzwJnWsocvok5XpaG\nCJY6CQcP+oukezIHod3cY0z19+wBt9+BAz5JjdiY9ti9OsucWtbRKWDqOYyZqpVu+Lw3XHALFT+D\nqqPsAhd5ft5uUhifk7YWf2ncl4sbF2s+S8wkTUEuC4bh5x+fjWfK7FsPlqp6TUTeoap/BuCf7HOr\niLxfVf97td9WsulsgnPYXyUiz4d/r3bDv3MTEhISEuqALmGmA+AnROQNcJWb1wP4cwCZkkRXYjqv\nBPA2OK3Ux+EXnXEAv1NvTxcSM/BGcDKdbnjHUKYtoeqJkioDxjrgsy+3BduAuXXvY8S6SEpMlIjJ\nWnrhVVixqiaem5TeHg+2PW0bmWCSfeKxZoPjUVKkWofuvL22wyo74Ul4VQMlREqMTHTZGbhkk1VR\nYj/bjLg08lLwpsfw0yM++y9dXdkXJhJtDy7+MZP2z+92svaJKfclGQ5/S0YyCuCAdeap211LI/2m\nTcNz+rRxo5eozzGJPay1A3iGw+OPBddKlhcnhaWaLQTnHB3AGUjKY/G+/gj+3pP9tFv/mYiSfbn3\nPjejTvvql7Ft25cB+OtpifYl65ic9CpWMsy1u+1HdLQwKsKxODrh2Rv7xoSf7FPBeaB9BWYHXb9I\nqMhE+MJlX6gmPg7gdBsQZuDZY3Gx9L5moPXMjD/eEzYxyXAesHHi/K3H5XYcXmvRCCxVm46qvklE\nfhbAvXCE/42q+p0sv61k07kRwI0i8gZV/VI+XU1ISEhIACw4NNfCoc2Dpb75Dbiy1ecAeLOI/MCC\nRisii03nEhH5ehQE9J9U9b9W+d2iw0EUlyBoh2c9THrJmuqjkXF9Ep4F0SWaKlmyltilug1zmUbY\nRl646IDXWzJxC/sb1/0ghlHMpMiWNkXtMXhjKs/N47fYFzSY91hHpqaAw/YdJcaB6Hw0tIY2L4Yr\nUiIlQ6CNh+zi4EHgQbMH0PhPaZb1h6jrX93l/3/wPjeKlHJZPZLnGbJjHQz6TUeOu2lvstbqQeLS\nM4ErrnD/bzaatd6M1B0d7nwFBmXS9DCKy1FkQXwfeM/4DiJLHUMx2+U9YuoZXjOZxKMdnknSyM5x\nI5s4OOyPuc3G+zyzY100665oHYN2Z07MOf7kjL9WvkDINHk/CjtPTxfSKLGfx+3HnAu8HhYvuBfA\nQ6wGavfxnHNdS8ZGlg4m5qMAACAASURBVHR4HBiODPssK0IHcN4fPudV34oBZuHvDdnpji3AF8qW\njqwNS9WmA+AfAbxLVb8uLuvnb8IlDH1etR/G771SeFUcBASXqTQhISEhoU7QZTrr3yLDpar6dcAl\nElXVjyOj22QWptMqIitV9TgAiMgqFOe9XBIoJZyMYK53F+C9v06aRBbq6sla6PEWM5tj0edZePZC\nSStm1GQqrfD2IzIFhvhSmCtlH4jtPTzedlPNnxG4JDOJJu0aBZdRO0iHdbzgDj0beKSV6T/71A0/\nLgWGZsejyys91cgYHpsMPJHsBOeaVHuGiZa0E0xM+BIP+6MgyiETi+hpxHY4uMb4PvN+0BtPHvEs\nq9OCHFkZk4I7z0+by0OozRuKYLokzqd1do0rrXO0y/UG/eRcIDM4ZhdEJnHEbsyKgHLRDkPG8Ki1\nBQ9EAJO06w24liy0b9zNZrIkBrk+Bz+nY5btbS2uE5OT/l6xpUvzBnqkmS2J7tHfm/TMfsxoyaC5\nwnMsaFccwFxNBFBcqJDPkpkVsQl+DsSBvKXs+vQwvNT8da+6CnjnH5bYsVYsQUcCEfktVf2oqo6L\nyM+o6l8HX78dGez9WZjOXwL4uoi8Q0R+AcCtAG6sr8sJCQkJCYAxnZPZ/xYJrg3+jwu9XZ3lAFly\nr31URO4F8BNwHmwfUtWvZO7iEkBL1BYKdJkYRPbyFLx+mJIomQn1j7EHUyeKgyvjlZ434SS8h1Ic\nC0DJmL8Ny1kXyhNEv1lp18H0K3193rurEKhn7ILXyOOOBQGalAKrZXSfRrEEOWAtY00KJRPsYIfg\nJVOyK8brdJ1tSUJNkb9q8AkMDbkzkOHss4Gn5B4zzbBPBPvGe8l7NwXgOfNwo+1jtY0XPaIetPZe\n+01cohrw97PfWt6fieB7Fg+gjZBzToytbLX2KPw9IcOkl+IqOyCl5bV24tYW4JhdJBkOr5EMMLQp\nca6RaZCJcIzJ8mjHmoW3b5CpxbYjMp7x8cCOZBfSYe0mOx7HmHOzZdLPG7Z3RuerFscG+HHns8OA\n6h74Z5JjG5e85tzYBH+tl1/u2jWveynwh9+ocOaMWIJMB3NDEuPwxPhzSWSqHKqq/wLgXzJ2KiEh\nISEhAxahraYatMz/pT6XRJbKoZcD+BM4t7h2OOH+mKp2V/zhEkEYG1PIImDSB1kMv59GMaPhAMbl\npcPyt+X032QtPEaYcp1smsYzliCgXjpM38N+xjE4cUxGS4uPiaHn0On2malshq1lDM4T8LacauiB\n16Ozf7T38Bpphwi/5/+WDaUQi7O+10XC00trYMDbhh62G0HdPsedbCKU5OMURTHT5L73wHu47bCL\npmce+8++VrLj0PZizmAF6Zy/nYGfC7xXTDTFOKktwW94Ll4jY8UYV0ZPNdoiR0a8xyGZDc9DJki0\nwc812vWmjb5xTvMYnIubAewx+kAb3ek2QclWyLDCcud8Jjif7rHzcH5awoNC8bUQ41GbBbwPTG7L\n8n9r4dkcsdXGn56eHOseAGfatW3YZT6rLNMxTyzR4NALRWQcjtWssv9hnzOlR8vCdD4Jp8f7awB7\nAbwFnnEmJCQkJNSJpbboqGpr9b0qI6t6bb+ItKrqSQB/LiKZamEvNvTA63DDss2U/mgXYEK/OBK5\nBcUR9wSl5dizaxxeOmuLWkrAlKa39QKn2YHW2wnIV0kr2W8yrTAiPu7vJOOMrAMdHT4YjV5atPfQ\nxkMmcY8ddBCe3cXxImRwZGHd8OPA38SFzeJYiUEUl5noMnU5vaVYJvvAgLeh8Pg8HscyZjrt8GMX\njz+vJ5SeOT/KxUWFOfvKoeCRZu1p0feT8AwwtgmdbQfeZTLj9ik/P8lIeDxWvOa9pO3kgUmfwjPO\nHBB7wq2FF085ZuxbXO6Z7GsTvEfk+RZLtW2XHdnytR0dctxqasqznzXMsWbHoQcgWasVUCjpZVoL\n+Dy9zNrLTT3AcZqZ8bYn2hE7bOK0Wl8Yhxe66T61313Tad/+t3n20GEpB4fOB1kWnUkRaQdwt4h8\nFM72u7rKbxYlulC8aIzCP2x8+fGB7Iz2DdPIcK7ERt4YodGS+/AFQDUJXZvPP88blLlQUBKKt9P9\n9MRksbqIL9ktdiFcWDo6AmMwEzX2+O8AnxLlBB9K+BdVrGqiKypfgh3BNcbtdNQWatDD35O4QNNT\nvEb7fA/8C5EL3bnR8XgPwyBVGpJ5P/ny5kuUL/4saVIqBYDGiWJ5HgY9ch7MBv20uNjCHOTc2GgX\ntLbDLTyAV6NeYIsNXct5Tx+xt/VtKA7gLdfXVSh2c+dv90V9opqvD8Au02syvdH6XjcyqywnEvs0\nNOT/j1M8cbxZu4ljMV9caO3LLJXRVVe5lovO2Fjg3EA38EiKpLA3BuAuBjjf4Nq+m0spAOtD3kxH\nRK4G8Am46fI5Vf1I9P0fAXiJfewEsFFVe+y7k/A+MgdV9bX59s4hy6LzZrgLuA7Au+FUo29oRGcS\nEhISlgs05yJuItIK4FMAXg6nRLhDRG5W1cJ6rqrvDvb/NQDPDw7xnKpehAYji8s0WfBzAKqmrV7M\nCFP7h4INJbyRqKUEGBqiKe3HSTtbon3Jlk6HDy6LWRbpItnG+j5gPU8Qgcb0J1kNlDqIIKcH+7vD\nKAjr1KyzYz4z4mvsjFrHt5m4z8SQDCakVN2D4tIPcRAeU7a0oljdRVDKj1lSN4rdXukcwDHk9/cE\n+/A7skX2IR7jdhQ7csRqtrgEQRaEdY14XF4TVTJPWEupmeq21fBjSNUe+0BVFq+jrwPojaRwslKq\nZmiIp0pwINslAHDqNTJB9oEsrJwQ/jUALTb/Bv/Wtbv6XUumzCDah0c8O40dc3hfa+lvFtDMzwSm\np+2yJ22H+2bD2BEwSU5c4+fpIFEsMFf9O24DNJ1TChwgd6ZzKYD9qnoAAETkJgDXoDyJfCOA9+fa\ngwyoVNrgXlRwgVPVCxrSo4SEhIRlgDoqh/aJyL7g8/Wqen3weSu8rAO4NfOyUgey8tI7AYQBRx12\n/BkAH1HVv6+pdxlRiem8phEnXEiEtdErgRJYXPBtIzzTiZN48rgFtmHtGZjrch0et1BQjSlchotT\n9K+wk2tk2yE76hkp1pVTd01X1adMfN63D/iynZTC2i7750xree2U+luCa6JET8mVxwivmQyErqdk\nIHy24pIQ24JzUfrvifYpdc+4L50/6OocuzKPwkvycbLX2IBeC3gdnfD95Tyhe3JMRsM5wXNzPlGa\n7onaTZt8kssh24lslQxnkMlO6+h/D/xcGrGbX822PQXgZvufxdw2DbiW7D2sgBtXvWU7EbXzRXhP\ngKAUw2HnirHG3scnxo4VmBjZYuF5s4OM2/b9KJ16KhfU7jI9oqp7K3xfKjiz3LJ2LYC/MecwYoeq\nDonILgDfEJF7VfVHZX5fNyqVNni83HcJCQkJCfNHzuq1QXjtIuBkunLKwGsBvCvcoKpD1h4Qkdvg\n7D3NW3SIUyk4NHbNrYbYA2sIxdJUzHg4KKHHFM8bB/kRfbbh5D1e4iKjoY6c7IXfMyhvVeCRRmbD\nhI30dGM6k69NOc+mEPTcoj9OqeBHsh9K54OYC/5mF7xHGPdlmnmmWqEETPvHFnhJl+fpt5ZsqZSk\nGRfmKpcOJfROZEtGUMnzMHazjucOr3k/PFvhNZUr3sY5syk4Ln/L8zEAju7Qu3f7uVBgOtbxWZY0\nsN+E7LTauywMVKXbMPtdSwDmwahdSHC+8D4/YJYM2m3a2x3jGR72zwztY3x2Rm0ycI40jOUgf0cC\nuNICe0RkJ5wS4FoAb4p3EpGz4EyM/x5sWwdgUlWPi0gfgBcB+GiuvTOk4NCEhISEBUKeaXBUdUZE\nrgPwFThycIOq3i8iHwSwT1WpFX0jgJtUNTz7OQA+KyKMDPlI6PWWJ5ZVcOh8MQ0vYVM/H8f0UNoN\nPYLIIqj/JiiZ0iYzOgbMRnp1ejydbyfaaxrdPbbs9/c7rzTAMxtKrtT5HzQRlnaPUiiVuDLuZzVM\no9izjQlMeYw4tqcXXtrnNcchz6VSocfspRI4yeMUPaUYDvfh/YvzesSMZwZeGq4mFZORhFEeZBcc\ng0LJA6PQKzuK08gwLQ3HNmaKWTQ2lOQHAIwwMNi21VPWOW+QtXC+cMwqXRu/41yetAF54O6534dM\nbqN94BzjGJR6HjqDNo8xUi3Ux8sNqnoLgFuibe+LPn+gxO++C+D8fHtTGssqODQhISFhMWGppcHJ\nA1mDQ1uQgkMBFEekMwaHqeopDVFaP4TSCQwBL3H/0NojKJbkNlu73aQ26veZSh7wnm1xSo1CaV9+\nLtOP+YJsYAxeQoylytgD7Xjwf7lsAizZHduQakFbcLyOqC3lNcX7S9bCIc3i9VgNZGWlUuzw+LR9\nsdje5CTwiA1qmIQV8MwmzvqQBdz3YPB/zMQXCh0oTrCa5d08FLW0L/Zb2xXsSxtaHJvEexMyaCYM\nZaaD0wH8cYb+VIMuzoqgDUctwaFTWOLBoQkJCQmLCYnpBBCRawBsU9VP2efvAdhgX/+Wqv5NE/rX\nFHAQysUnUGJqCfahtEw9Y8GDyagOEwpOzlaPn6CU1Yfi6Hken6zlqInnLFswM+NtNxOR6F7wgAv6\nmIeXEZlDqSSecUnouCXzobTeEvQp9hiaTxxN2Nc46WWWuJC8YkeygqyFbGa90buZQc9AaNWNvcs4\nTpTeQ5tDuTnNEhkdqN2rs9GYwvzYLRFnC+H4rID3OuXzVS4LQxc803mBTfTzLwD+eB/mDUVadGL8\nFuaWJl0J4AVw9+nPAZwSi84FKK/24IPJuigCJs/wD3NsID9hB6N9MIv7KY3HZ8Ab2OMaMBO2iP3A\nsmI+YW/qjo5iV2m6VXPh67GD9E37B68Wt9gYfE44BmFfOZZUW7RFv+HCMhTsF78Y4+qj88E08k+z\n0khwgQmzdWd9AdP43gv/wuWcLqTVsXZH8JvWaN+8QeEkj/tZCygs8jlmyqQT8M8nx4WZvDmXw9AH\nPtsMX6CTx7yRv8v0kkClRaddVcOUCt9W1WcAPCMiyZEgISEhYZ5INp25WBd+UNXrgo8bUCNEROBS\nbr8aTuh5m6reZd+9G85h4fdV9X+LSAeAb8Gxqza4dA3vt313ArgJTqC7C8CbVXVaRD4AYEBVP5+l\nP0wc9zx4g3Vcq2ZT1M7AM504OJGf6VhA6TFLapIXWPuSTmCziWessPm4HYBqlzsZ1Gbt6QAuMLGV\nzgVkOgyKo4S2ZtpLbfNhOkRcmwjwhl9KkHFZh2arrZqJamraLOCY3lfDb8heqAZah2L3ac5PSvI8\nzwr4EHaLR63oPl8PFqpkzMboM13NQ3dnjgfHazLa3g7ff4YkPJOTT/kSrRw6b1RyaPqeiPxSvFFE\nfhnA9+s416sA7LG/dwL4tB2vC+69eyl89OxxAC9V1QsBXATgasuMAAC/D+CPVHUPXKjCO+roS0JC\nQsKCY/Zk9r9TBZWYzrsB/L2IvAm+vtYlcOzjdXWc6xoAX7Ao2NtFpEdENsMLvwWiaftw+wr7U2NL\nL4VfnG4E8AG4BWwCnrSURWhUBxxli4MRadimtMMiXM/BS0mx8ZWMJjayVwL16ixgsXev1xezSNt9\ndmBWVaT7NW/cMQBbrFMF54XJuS2xFl76o6Qbp9avBXF5hwkUG2LzcDVeKogl+rB8A+DnTN5jQqbD\n86yEn9Pt0b500uB9aoU3qmeZs/VgoZgOrzUsUwDMZdtx2iYiTORLe8+EbTyaE11XBWZOocUkKyol\n/BwGcIWIvBROCwUA/6yq3yj3myoolXZ7q6ruszIK+wB8jF9aQaI74VLufEpVv2c5gcZUdSY8hvX3\nD+rsV0JCQkLTkbzXysAWmXoXmhBl026r6u8B+L3ovCcBXCQiPQD+TkTOg88fWXSMkicUORZvi20M\nk/ASXqyTp2Q0FGyvluqkFrdcSqhrAnGUZQ5YTvd+284UNrEH0Ch8GhP+hq7Sz5iI91SQDZPsKk73\nX8qrrBwoURd03RX2Xc6IS2OQ+eTFdOIg15Ch85ZzvsZmCN7vSXj22yjvsoV6r9bijUd7GIkHXzRT\n8J5u8XWE7xdVrd25Ktl08oeIvEtE7haRu+HeZ1nTbhegqmNwyZGvhnt2ekSE60PFY6jqav7VeQkJ\nCQkJJZHH+yXZdHKGBZYyuPQnAVxnJVQvA3BEVQ+V+p2IbABwQlXHRGQVgJfBebapiHwTwE/DebC9\nFcA/ZO1PL4rTz++Hp2BMQXIg2mc+aEexx1BH8B0ADNsXd9/tPWQYr0GmU04KnYWXWk8MuJaGLW4P\nU95TqmXaHs7luERDqSBSsiPqwclwBsr0LcEhr+BLSohx4cD9UVsLxuHvI+djfJ5TGYzheVlU4uAe\ne/jvg39uOd4nczJSLVfvtYYuOhFugXOX3g/3Dn17hX03A7jR7DotAP6Pqv6TfffbAG4SkQ8D+AGA\nP2tclxMSEhIahxSn00CYR9q7qu7o9r0Hrmpdqe8OwLlX14xd8FIcWcxDKI6in4/OndJiWNaa55yO\n9qFthN5xD417HfxAlb6QsXTBS6r8LVkK4y1CwYyecnHZaETbS4H9DSPfAS/JJ9tO/mhDMQttVNoa\nzk8y2vl4Ni4V9Fv7oitdS+/Rzm+59uiw14DkreFSnFpqs6xoJtNZcGyANwrywa2lrnwlUG1Hus4X\n8yp4TwdmVqYCmGqqMDUNXyw8Hg3/NAy3R9u3YW5lU6D0YkNQbTcQnYfIolKM882xot9dJfZNqA0U\nAlqCtj36jveoUYsBFxu+HE7lRYdz+DST4jbZg3vIJvUjw84FHQhqQPUiH51yUq8lJCQkJDQTadFZ\nBiCbzTsdS5zJliqRruCcVJXFGaQ7gu8p1dKNO2YrvGFkKB0orm2fxc45FrVZwPPQUYESIPvSU+Px\nEjw4BzhvQgbOORFmOwcal6BzOmpPRZDh8HllhnZmb2dgdRe89mK96R3b44jbOpGCQxMSEhISmoZk\n01kGOArvNJA30+FxaSsii+mCT0nC+UXDJFkBv58KttHN+XDwHeBv2HiwH7/Lo1ZOJdBRgYGqdGZg\nXxLLqR+UvEuxi7hCaEOD65YBdgA41/5fYw/UoEWCH7SHiGmopuCfOQZu31dLNtZKWKY2nTR/ExIS\nEhYIs5r9LwtE5GoReVhE9ovIe0p8/zYReZpB+yLyi8F3bxW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5ekIlsu/rHOULoiDvgWbhpouu6g5KSzVkj51yMvn/MDGrWSujam5FUWisCvke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\nzfDeXu+c+7Jz7j3OOfueF+Cc63TO3eWc+4Zz7pvOud8Jj7/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n4np3fhy1AZi1viTpeGecXpQHv6MoxyzZoakVhaax7fARtqV1u6YLU7VJqT7A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\nE6sLUG2DppToXgOH0ibYmdjK0syn3/P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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Significance image\n", "# Just for fun, let's compute it by hand ...\n", "from astropy.convolution import Tophat2DKernel\n", "kernel = Tophat2DKernel(4)\n", "kernel.normalize('peak')\n", "\n", "counts_conv = images['counts'].convolve(kernel.array)\n", "background_conv = images['background'].convolve(kernel.array)\n", "\n", "from gammapy.stats import significance\n", "significance_image = SkyImage.empty_like(ref_image)\n", "significance_image.data = significance(counts_conv.data, background_conv.data)\n", "show_image(significance_image, vmax=8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Source Detection\n", "\n", "Use the class [TSImageEstimator](http://docs.gammapy.org/dev/api/gammapy.detect.compute_ts_image.html#gammapy.detect.TSImageEstimator.html) and [photutils.find_peaks](http://photutils.readthedocs.io/en/stable/api/photutils.find_peaks.html) to detect point-like sources on the images:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# cut out smaller piece of the PSF image to save computing time\n", "# for covenience we're \"misusing\" the SkyImage class represent the PSF on the sky.\n", "kernel = images['psf'].cutout(target_position, size= 1.1 * u.deg)\n", "kernel.show()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['ts', 'sqrt_ts', 'flux', 'flux_err', 'flux_ul', 'niter']\n" ] } ], "source": [ "ts_image_estimator = TSImageEstimator()\n", "images_ts = ts_image_estimator.run(images, kernel.data)\n", "print(images_ts.names)" ] }, { "cell_type": "code", "execution_count": 21, "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=11\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
451269266.386490097-30.13297519916.43453671617
328279267.643982436-27.9237994435.01020960141
457279266.116882008-30.13088151266.99895391199
420295266.248069224-29.3329231457.40642882084
319296267.418588423-27.59501465655.43758078846
403296266.431608887-29.032394820831.2056071515
328297267.294781246-27.73899554376.11383181087
428297266.112959439-29.44841397118.3317349187
336303267.085428324-27.8141868895.95486458885
357303266.839564958-28.173556819215.2891666272
523305264.795749993-30.97625496637.50175705691
" ], "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", " 451 269 266.386490097 -30.1329751991 6.43453671617\n", " 328 279 267.643982436 -27.923799443 5.01020960141\n", " 457 279 266.116882008 -30.1308815126 6.99895391199\n", " 420 295 266.248069224 -29.332923145 7.40642882084\n", " 319 296 267.418588423 -27.5950146565 5.43758078846\n", " 403 296 266.431608887 -29.0323948208 31.2056071515\n", " 328 297 267.294781246 -27.7389955437 6.11383181087\n", " 428 297 266.112959439 -29.4484139711 8.3317349187\n", " 336 303 267.085428324 -27.814186889 5.95486458885\n", " 357 303 266.839564958 -28.1735568192 15.2891666272\n", " 523 305 264.795749993 -30.9762549663 7.50175705691" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# find pointlike sources with sqrt(TS) > 5\n", "sources = find_peaks(data=images_ts['sqrt_ts'].data, threshold=5, wcs=images_ts['sqrt_ts'].wcs)\n", "sources" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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GkLS/i7arhYhGGkGTdJBJGj1hgyIaGTJkyPD+ISMa6zxs2A/xvpANlrSEUI2n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\nPQT6vexmXqE09r4E5oTKd7V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xwAM57bHHOO3uu7li5EiWxITHhquQ99U2DR0lV1Q+qHOB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fVctevtNbYt9lnY/lpbhqYB8bnBrO3Ejrfds6PDfNt22OvtHh7+/rGPr4vI9XRTj73ej6f/2L7E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\nW34qdKGs9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot sources on top of significance sky image\n", "images_ts['sqrt_ts'].cutout(\n", " position=SkyCoord(0, 0, unit='deg', frame='galactic'),\n", " size=(3*u.deg, 4*u.deg)\n", ").plot(add_cbar=True)\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": [ "## Spatial analysis\n", "\n", "To do a spatial analysis of the data, you can pass the `counts`, `exposure` and `background` image, as well as the `psf` kernel to Sherpa and use Sherpa to fit spatial models.\n", "\n", "We plan to add an example to this notebook.\n", "\n", "For now, please see [image_fitting_with_sherpa.ipynb](image_fitting_with_sherpa.ipynb) as an extensive tutorial on how to model complex spatial models with Sherpa." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# TODO: fit a Gaussian to the GC source" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spectrum\n", "\n", "We'll run a spectral analysis using the classical reflected regions background estimation method,\n", "and using the on-off (often called WSTAT) likelihood function.\n", "\n", "### Extraction\n", "\n", "The first step is to \"extract\" the spectrum, i.e. 1-dimensional counts and exposure and background vectors, as well as an energy dispersion matrix from the data and IRFs." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(,\n", " ,\n", " None)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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8vGI5mUKeLx1yOBVtkohqHm280ttJQaJgR726ABoD/2Sk7JJ+2TUCEPb7KQ8E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\nOaaDky/wm0XXEwj6e+W8jX1PVxOrmXh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bkg_estimator = ReflectedRegionsBackgroundEstimator(\n", " obs_list=obs_list,\n", " on_region=on_region,\n", " exclusion_mask=exclusion_mask,\n", ")\n", "bkg_estimator.run()\n", "bkg_estimate = bkg_estimator.result\n", "bkg_estimator.plot()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "extract = SpectrumExtraction(\n", " obs_list=obs_list,\n", " bkg_estimate=bkg_estimate,\n", ")\n", "extract.run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model fit\n", "\n", "The next step is to fit a spectral model, using all data (i.e. a \"global\" fit, using all energies)." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/deil/code/gammapy/gammapy/stats/fit_statistics.py:161: RuntimeWarning: divide by zero encountered in log\n", " term2_ = - n_on * np.log(mu_sig + alpha * mu_bkg)\n", "/Users/deil/code/gammapy/gammapy/stats/fit_statistics.py:166: RuntimeWarning: divide by zero encountered in log\n", " term3_ = - n_off * np.log(mu_bkg)\n", "/Users/deil/code/gammapy/gammapy/stats/fit_statistics.py:203: RuntimeWarning: divide by zero encountered in log\n", " term1 = - n_on * (1 - np.log(n_on))\n", "/Users/deil/code/gammapy/gammapy/stats/fit_statistics.py:204: RuntimeWarning: divide by zero encountered in log\n", " term2 = - n_off * (1 - np.log(n_off))\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Fit result info \n", "--------------- \n", "Model: PowerLaw\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max frozen\n", "\t--------- --------- --------- --------------- --- --- ------\n", "\t index 2.226e+00 2.611e-02 nan nan False\n", "\tamplitude 3.019e-12 1.397e-13 1 / (cm2 s TeV) nan nan False\n", "\treference 1.000e+00 0.000e+00 TeV nan nan True\n", "\n", "Covariance: \n", "\n", "\tname/name index amplitude\n", "\t--------- --------- ---------\n", "\t index 0.000682 -9.96e-16\n", "\tamplitude -9.96e-16 1.95e-26 \n", "\n", "Statistic: 91.257 (wstat)\n", "Fit Range: [ 1.00000000e-02 1.00000000e+02] TeV\n", "\n" ] } ], "source": [ "model = models.PowerLaw(\n", " index = 2 * u.Unit(''),\n", " amplitude = 1e-11 * u.Unit('cm-2 s-1 TeV-1'),\n", " reference = 1 * u.TeV,\n", ")\n", "\n", "fit = SpectrumFit(extract.observations, model)\n", "fit.fit()\n", "fit.est_errors()\n", "print(fit.result[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Spectral points\n", "\n", "Finally, let's compute spectral points. The method used is to first choose an energy binning, and then to do a 1-dim likelihood fit / profile to compute the flux and flux error." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: AstropyDeprecationWarning: The truth value of a Quantity is ambiguous. In the future this will raise a ValueError. [astropy.units.quantity]\n", "WARNING:astropy:AstropyDeprecationWarning: The truth value of a Quantity is ambiguous. In the future this will raise a ValueError.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "*** Observation summary report ***\n", "Observation Id: [110380-111159]\n", "Livetime: 1.470 h\n", "On events: 2377\n", "Off events: 34781\n", "Alpha: 0.041\n", "Bkg events in On region: 1432.16\n", "Excess: 944.84\n", "Excess / Background: 0.66\n", "Gamma rate: 0.15 1 / min\n", "Bkg rate: 0.23 1 / min\n", "Sigma: 22.24\n", "energy range: 0.01 TeV - 100.00 TeV\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/deil/code/gammapy/gammapy/stats/poisson.py:383: RuntimeWarning: divide by zero encountered in double_scalars\n", " temp = (alpha + 1) / (n_on + n_off)\n", "/Users/deil/code/gammapy/gammapy/stats/poisson.py:384: RuntimeWarning: divide by zero encountered in log\n", " l = n_on * log(n_on * temp / alpha)\n", "/Users/deil/code/gammapy/gammapy/stats/fit_statistics.py:161: RuntimeWarning: divide by zero encountered in log\n", " term2_ = - n_on * np.log(mu_sig + alpha * mu_bkg)\n", "/Users/deil/code/gammapy/gammapy/stats/fit_statistics.py:166: RuntimeWarning: divide by zero encountered in log\n", " term3_ = - n_off * np.log(mu_bkg)\n", "/Users/deil/code/gammapy/gammapy/stats/fit_statistics.py:203: RuntimeWarning: divide by zero encountered in log\n", " term1 = - n_on * (1 - np.log(n_on))\n", "/Users/deil/code/gammapy/gammapy/stats/fit_statistics.py:204: RuntimeWarning: divide by zero encountered in log\n", " term2 = - n_off * (1 - np.log(n_off))\n" ] }, { "data": { "text/html": [ "Table length=4\n", "
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e_refe_mine_maxdndednde_errdnde_ulis_ulsqrt_tsdnde_errpdnde_errn
TeVTeVTeV1 / (cm2 s TeV)1 / (cm2 s TeV)1 / (cm2 s TeV)1 / (cm2 s TeV)1 / (cm2 s TeV)
float64float64float64float64float64float64boolfloat64float64float64
1.564748141661.02.448436746821.09929677082e-121.23399567803e-131.36112562438e-12False13.92525597081.26220310761e-131.21722152847e-13
3.831186849562.448436746825.994842503191.57115663963e-131.94350698019e-141.9835646019e-13False13.68317902761.98236158774e-141.86031714233e-14
9.38041866645.9948425031914.67799267621.30447549626e-143.09086142947e-152.00964479695e-14False6.835288723.32268015634e-152.88496727552e-15
22.967361763414.677992676235.9381366381.27557550214e-155.70818610801e-162.7176911792e-15False3.554810353216.49472424329e-165.04683615003e-16
" ], "text/plain": [ "\n", " e_ref e_min ... dnde_errp dnde_errn \n", " TeV TeV ... 1 / (cm2 s TeV) 1 / (cm2 s TeV) \n", " float64 float64 ... float64 float64 \n", "------------- ------------- ... ----------------- -----------------\n", "1.56474814166 1.0 ... 1.26220310761e-13 1.21722152847e-13\n", "3.83118684956 2.44843674682 ... 1.98236158774e-14 1.86031714233e-14\n", " 9.3804186664 5.99484250319 ... 3.32268015634e-15 2.88496727552e-15\n", "22.9673617634 14.6779926762 ... 6.49472424329e-16 5.04683615003e-16" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Flux points are computed on stacked observation\n", "stacked_obs = extract.observations.stack()\n", "print(stacked_obs)\n", "\n", "ebounds = EnergyBounds.equal_log_spacing(1, 40, 4, unit = u.TeV)\n", "\n", "seg = SpectrumEnergyGroupMaker(obs=stacked_obs)\n", "seg.compute_range_safe()\n", "seg.compute_groups_fixed(ebounds=ebounds)\n", "\n", "fpe = FluxPointEstimator(\n", " obs=stacked_obs,\n", " groups=seg.groups,\n", " model=fit.result[0].model,\n", ")\n", "fpe.compute_points()\n", "fpe.flux_points.table" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot\n", "\n", "Let's plot the spectral model and points. You could do it directly, but there is a helper class.\n", "Note that a spectral uncertainty band, a \"butterfly\" is drawn, but it is very thin, i.e. barely visible." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(,\n", " )" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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7qa6uprmtkzV7u/nj7m6GrOWykjiuWZRAQXYG+fn5REXNmF3LItOGvxKBZxiZ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\nIipKEw6nOyUCPrQiICJyYsb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "total_result = SpectrumResult(\n", " model=fit.result[0].model,\n", " points=fpe.flux_points,\n", ")\n", "\n", "total_result.plot(\n", " energy_range = [1, 40] * u.TeV,\n", " fig_kwargs=dict(figsize=(8,8)),\n", " point_kwargs=dict(color='green'),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "* Re-run the analysis above, varying some analysis parameters, e.g.\n", " * Select a few other observations\n", " * Change the energy band for the map\n", " * Change the spectral model for the fit\n", " * Change the energy binning for the spectral points\n", "* Change the target. Make a sky image and spectrum for your favourite source.\n", " * If you don't know any, the Crab nebula is the \"hello world!\" analysis of gamma-ray astronomy." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "# print('hello world')\n", "# SkyCoord.from_name('crab')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## What next?\n", "\n", "* This notebook showed an example of a first CTA analysis with Gammapy, using simulated 1DC data.\n", "* This was part 2 for CTA 1DC turorial, the first part was here: [cta_1dc_introduction.ipynb](cta_1dc_introduction.ipynb)\n", "* More tutorials (not 1DC or CTA specific) with Gammapy are [here](../index.ipynb)\n", "* Let us know if you have any question or issues!" ] } ], "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 }