{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to make a supernova lightcurve?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can use `lightkurve` to extract a lightcurve of transient phenomena, including supernovae. Supernovae data analysis presents a few unique challenges compared to data analysis of isolated point sources. We can anticipate some of the common limitations of the Kepler pipeline-processed lightcurves, which make no attempt to hone-in on supernovae. For example, the supernova resides in a host galaxy which may itself be time variable due to, *e.g.*, active galactic nuclei (AGN). Common detrending methods, such as \"Self Flat Fielding\" ([SFF](https://archive.stsci.edu/prepds/k2sff/)) assume that centroid shifts are due entirely to undesired motion of the spacecraft, while transients induce bona-fide astrophysical centroid motion as the postage-stamp photocenter gets weighted towards the increasingly luminous transient's photocenter. \n", "\n", "In this tutorial we will custom-make a custom supernova lightcurve with these simple steps:\n", "\n", "1. Create an appropriate aperture mask to isolate the transient from its host galaxy\n", "2. Extract aperture photometry of both the supernova and the background attributable to the host galaxy \n", "3. Apply \"Self Flat Fielding\" (SFF) detrending techniques \n", "4. Plot the lightcurve\n", "\n", "We will focus on an unusual class of transient recently observed in K2, the so-called *Fast-Evolving Luminous Transients* or **FELT**s. These transients rise and fall within a mere few days, much shorter than conventional supernovae, which can last hundreds of days. The discovery of **KSN2015k** was recently reported by [Rest et al. 2018](https://www.nature.com/articles/s41550-018-0423-2) and summarized in at least two press releases from [STSci](http://hubblesite.org/news_release/news/2018-18) and [JPL](https://www.jpl.nasa.gov/news/news.php?feature=7086).\n", "\n", "The EPIC ID for `KSN2015k`'s host galaxy is **212593538**. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(3561, 8, 8)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "from lightkurve import KeplerTargetPixelFile\n", "tpf = KeplerTargetPixelFile.from_archive(212593538)\n", "tpf.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The TPF has 3561 useable cadences, with an $8 \\times 8$ postage stamp image." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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aXFuCA1UzMzNrWRGiLYaUekT0eczrcqSxoe8E5hcW+Q/gxJzmvHzt+/n1w/m8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\ns1JyoGpmZmZmpfT/AaKrR13lvqwuAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 277, "width": 341 } }, "output_type": "display_data" } ], "source": [ "tpf.plot(frame=100);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The coarse angular resolution of Kepler means that this host galaxy resembles a pixelated blob. We're showing frame 100 out of 3561 frames-- we do not presently know when the supernova went off so it's hard to say whether there is a supernova in the image or not.\n", "\n", "One of the pixels is white, which represents `NaN` values in the color image. In fact, this pixel within the $8 \\times 8$ square postage stamp image boundary is `NaN` in all 3561 cadences, indicating that this TPF has an irregular boundary with $N_{\\rm pix} = 63$. Irregular boundaries are a common space-saving strategy for the distant Kepler telescope." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "63" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "postage_stamp_mask = tpf.hdu[2].data > 0\n", "postage_stamp_mask.sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make a lightcurve summing *all of the pixels* to see if we can pick out the FELT *by-eye*. We will pre-process the lightcurve to remove sharp discontinuities in the time series that arise from spurious cosmic rays, not our astrophysical transient of interest." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "lc_raw = tpf.to_lightcurve(aperture_mask='all')\n", "_, spurious_cadences = lc_raw.flatten().remove_outliers(return_mask=True)\n", "lc_clean = lc_raw[~spurious_cadences]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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5dodNj3met6e16afV+vr6uIcwcba7Z8VikUajged5GGMIhUJEo1Gq1erIfv+q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\nmZmZmVnXOdEwMzMzM7Ou+z8rYQgPqmVVIQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 263, "width": 397 } }, "output_type": "display_data" } ], "source": [ "lc_clean.plot(alpha=0.2, normalize=False);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Voilà**! We indeed see what looks like a sharply-rising phenomenon at $t = 2400-2415$ days, distinct from the smoothly-varying background, which could arise from either instrumental artifacts or host-galaxy. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's identify where the FELT was located within the host galaxy and its K2 postage stamp. We can either visually inspect the lightcurve with [interact](http://lightkurve.keplerscience.org/tutorials/1.05-interact-with-lightcurves-and-tpf.html) to look for the position of the explosion, or we can programmatically select cadences to estimate a difference image. I used `interact` with a fine-tuned screen-stretch to see that the FELT appears near pixel column 830, row 231. Furthermore, it looks like the flux drops off significantly in the first and last columns." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "#tpf.interact(lc=lc_clean)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once we have our aperture and background masks, we can estimate the net flux $f_{\\rm net}$ as:\n", "\n", "$f_{\\rm net}(t) = f_{\\rm aper}(t) - f_{\\rm b}(t) \\cdot N_{\\rm aper}$\n", "\n", "where $f_{\\rm aper}$ is the total summed flux in an aperture of size $N_{\\rm aper}$ pixels, and $f_{b}$ is our estimate for the (spatially-flat) background level per pixel, in each cadence." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "aperture_mask = postage_stamp_mask.copy()\n", "aperture_mask[:,-1] = False\n", "aperture_mask[:,0] = False\n", "background_mask = ~aperture_mask & postage_stamp_mask" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(48, 15)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N_targ_pixels, N_back_pixels = aperture_mask.sum(), background_mask.sum()\n", "N_targ_pixels, N_back_pixels" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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Lr7Z+kbp+A5jaQ7rFSDOrK9uezicFjUEKLg8D7szv31+T9/B8/vJe1OfwqjI6SRNV5uf3\n55KW2gngU3XyLkXq0q7O/wypxTSqXqfX5FNV3YM0XnZWfr2tl5/jRlX5N6pTr8q1Z4DZ+fVU1bNV\nl/2RXpbz/t7UrSrvdxrUo97rpAafb/TytVRN3jlVP5Puyp0NrF+T97t1fqbP1pT3V2DFXvxOzcv5\nq+/3HUAN8laX82r++bxUU/Y00jqptXkvr0rTQZrhX/u7eBUwtk7e99eke6HO78t80s5S9eo9nhS4\n196js+r9HOCdw/1vkF9++dX/lydTmWUR8ZKkScDxpHGgK5H+07+SFPhdK+mjBcr5rqR/kFYW2JzU\n1f934JyIOFfSDTnpAi2rEfFs7srdkzTDe3NSF/d80kSTv5Bmt/++Jl9I2pm0dNGOpAlbleWySq+3\nWt0KOZcUvDxKCiquBS6LwRsvWt1L1NMwhyV6uN7fskXPk+5qh3f8hPRZbU0al7k0aQLRY3S1ol4U\nEY02g/gDaYb8JGAV0tJk/yZNujsrFmzNrPY/pBUDtiGNRV2WNOnqQVKr9EWkL2D1JkOdTprMtFXO\nW2kZ/TcpsP4paVxsvbzTgINI2w5vRFr3dEnSWNR/5evnRsQ9dfISEXPyslMfzc8wkfQzfynnvxr4\nXrxxyICZtRjV//fDzIZDHpf3BGkpoI2jn+tumpmZtQOPUTVrLgeTgtTZpAkjZmZmb1ru+jcbYpK+\nBvyHtBj747lbfllSkFqZNPLdGKI1P83MzJqVu/7Nhpik3wK75revAi/TtZ0opAkqe3czHtHMzOxN\nwS2qZkPv26S92LciTSBZgjTT+g7SpJr/jcJri5qZmbUit6iamZmZWVNqqclUkpaWdLCkyyQ9IGmu\npOck3STpoNqdfiStIumHkm6RNFvSq5IekzRd0oF5hnW9cpaT9E1JMyW9IOlpSbdJOlLS4kPztGZm\nZmZvbi3Voirpk8BZpG7T64GHSesV7klaf+9S0ti+yOmnkBZPv4W0JuAc0jp/u5DWGrwB2LF6LKCk\n1XL65fL1W4HRpHUG1yEtCL9lDNGWjGZmZmZvVq0WqG5P2j3oyuoxfJJWIC0uvQqwV0Rcms8vArxW\nO94vt6ReA0wBPhgRF1dd+wHwaeCEiDix6vzInGd74ICI+AlmZmZmNmhaqus/Iq6LiCtqA8+ImA2c\nnd9OqTo/r96klIiYT5pZDbB2zeU18vE3NXk6SDsUQdq5xczMzMwGUUsFqj2Yn489LumTW0ffk9/O\nqLn8j3zctfpkHv+6C2kf6ev6X00zMzMz642W6vpvRNJCpKV9NgB2jojf11xfBjiUtAf3sqS9ztcC\nfgH8v+p9qCUtR9ofe11SQHo7aS/0nUhLCX0+Ii7oZb1ua3BpA9J+1rN694RmZmZNZzXg+YhYfbgq\nIOnnwHqDdPt7ImLfQbq39VK7rKN6Cin4u6o2SM2WAY6veh/AacAxUROpR8STkrYEzgf2II1JreQ5\nF/hjgfqOHMHI8YuxxPgC92oayy2/OIuOXmS4q1HcQguljofXOtpvadOFRlaerfW/sFZbaKSA9nsu\nqH629vp9fP138bX2ei6Aua/MY8mVlxnuahT3z3/+k7lzh31e8XrAJptMHFX0prff9WrR+1n/tXyg\nKukw4AjgHmC/emki4p6UVCOBlUkB6EnANpJ2jYg5VfdbjTQ+dVHS8IA/AWOA3UkLte8uaauIeKin\nukXEpg3qfNtiLLHJFiN36u1jtoTP7rcjEydOYOZdjwx3VYqavO26ANw4/f5hrkl5kyetDRLT/zJr\nuKtS1KQtVwNou+eC/GwRbff7OHlSmi4wbdq9w1yTsiZOnMBddz3Cbt86aLirUtymm27K7bffPmu4\n67HJxFH87Zq3FL3n5js97GC1SbR0oCrpEOAM4G5gh+qAs548Ieph4AxJTwD/SwpYD61KNhWYCLw9\nIirjV58HzpE0GvguqXX2I+WexMzMzPojCDop2xIftF9vTKtq2clUkg4HzgRmAtvlmf998bt8nFJ1\nz8WBbYE5VUFqtevzsW5LqZmZmZmV05ItqpK+SBqXeidpwf6n+nGblfOxepWAygDLJSQtEhHzavJU\nlqWqPW9mZmbDpGPBlSitTbRci6qk40hB6m2k7v6GQaqkLSSNqXN+LGnIAHStjUpEPA38kxTAH1eT\nZzRwbH577UCewczMzMoIoJMo+nLHf/NoqRZVSQeQxpR2ANOBwyTVJpsVEVPzn48GpkiaRhqb+jJp\n96pdgKWAm4Fv1OQ/jBS8Hitpx5xm0ZxnVeAB4NSiD2ZmZmZmC2ipQBWorNU2Eji8QZpppAlRkJaT\negnYnDQWdQzwDKk19mLg/Ih4wwYBEfFHSZsDR5LGqx5KCowfJAW134yIZ8s8jpmZmQ1M+clUuE21\nabRUoBoRJwAn9CH9lVR17fch3wwaLHVlZmZmZkOjpQJVMzMzs2oBdBTeZdPtqc3DgaqZmZm1tE6H\nlm2r5Wb9m5mZmdmbg1tUzczMrGUF0FG4RdXts83DLapmZmZm1pTcompmZmYtzWNU25dbVM3MzMys\nKblF1czMzFpWEIOwPJVbaJuFA1UzMzNraaX3pbLm4a5/MzMzM2tKblE1MzOzluXlqdqbW1TNzMzM\nrCm5RdXMzMxaWoebQNuWA1UzMzNrWUH5yVSOe5uHu/7NzMzMrCm5RdXMzMxaWgca7irYIHGLqpmZ\nmZk1JbeompmZWcuKgM7Cg0oLb3RlA+BA1czMzFqYBqHr30MJmoW7/s3MzMysKblF1czMzFpW2pmq\nbAuoe/6bh1tUzczMzKwpuUXVzMzMWlpneExpu3KgamZmZi3LXf/tzV3/ZmZmZtaU3KJqZmZmLUx0\nFG9381CCZuEWVTMzMzNrSm5RNTMzs5YVlJ9M5TGqzcMtqmZmZmbWlNyiamZmZi2t/Baq1iwcqJqZ\nmVnLCqAjynYQu+u/ebjr38zMzMyakltUzczMrIWJTi9P1bbcompmZmZmTcktqmZmZtayvIVqe3Og\namZmZi3Lk6nam7v+zczMzKwpuUXVzMzMWpjoLD75yZOpmoVbVM3MzMysKbVUoCppaUkHS7pM0gOS\n5kp6TtJNkg6SNKIm/SqSfijpFkmzJb0q6TFJ0yUdKGnhOmXMkhQ9vI4buqc2MzOzRtJkqhFFXx6j\n2jxaret/b+As4HHgeuBhYHlgT+A8YBdJe0dE5XdsTWBf4BbgcmAOsDSwC3A+sL+kHSPitaoyvgss\nVadsAUcDCwO/K/xcZmZm1h9RfjKVI9Xm0WqB6n3A+4ArI6KzclLSMcBfgQ+QgtZL86WbgXHVaXP6\nhYFrgCk5/cWVaxHx3XoFS3o3KUi9IyJuLfQ8ZmZmZtZAS3X9R8R1EXFFbeAZEbOBs/PbKVXn59Wm\nzefnk1pYAdbuZfEfz8dz+lRpMzMzGzSRd6Yq+QpPpmoaLRWo9mB+Pr7WbSpA0kjgPfntjF6kXx54\nL/Ai8Iv+VtDMzMzMeq/Vuv7rkrQQsH9+e3Wd68sAh5LGmS4L7AisRQo6f9uLIj5K6vafGhEv9KFe\ntzW4tF5v79FKJk6cwPjxizF523WHuypFjRmzCACTJ/W28b11VJ5t0parDW9FChuzaJon2W7PBV3P\n1m6/j5XfxW3b7N8PSP822uDqCLeAtqu2CFSBU4ANgKsi4vd1ri8DHF/1PoDTgGOqJl7VJUnAwfnt\njwrUtasKC45KaHEBauN/LEa0UwdEFQEj2+zZKr+G7fZckJ4taO+/a21ox4X2Ge4qFHd/x0PDXQV7\nE2j5QFXSYcARwD3AfvXSRMQ9KalGAisDewAnAdtI2jUi5nRTxLuANYDb+zqJKiI2bVDn24BN+nKv\nVnDXjEfYcKNVmfnP2cNdlaImbb0GANNvf3SYa1LepE0nwAhxw91PDHdViprytuUBmDazvX4XAbbd\nYAXo6GT6nx8c7qoUNWmrNSCCG6fdO9xVKWqDiROYedcjw12NtlZZnqr0Pa05tHSgKukQ4AzgbmCH\nHgJOIqKDtKTVGZKeAP6XFLAe2k22yiSqgq2pZmZmVoboLL08lSdTNY2W7ReTdDhwJjAT2C7P/O+L\nylqoU7opYzlgdzyJyszMzGzItWSLqqQvksal3gnsGBFP9eM2K+djd6sEHEg/JlGZmZnZ0HDXf3tr\nuRbVvH3pKcBtpO7+hkGqpC0kjalzfixpyADAlQ3yVk+i8tqpZmZmZkOspVpUJR1AGlPaAUwHDtOC\nM19nRcTU/OejgSmSppHGpr4MrELaQnUp0s5V32hQ3PakJaxuj4hGy0yZmZnZMPPyVO2rpQJVYPV8\nHAkc3iDNNGBq/vO5wEvA5qSxqGOAZ0itsRcD50dEo65/T6IyMzNrcpWdqUrfczBI2g/4SX77sYg4\nr06a3YAvABuT4p1/AD+MiAu7ue8BwCHA20iNeXcAp0VEb9aKb2otFahGxAnACX1IfyUNuvZ7kfeD\nwAf7k9fMzMysmqRVgO+TJmiPbZDm0JzmaeBnwDxgL2CqpIkR8YU6eU4jLdP5CKmBbhFgH+AKSZ+J\niDMH4XGGTEsFqmZmZma1OoovT1VWnvdyASkA/T9Si2ltmtVImxHNATaLiFn5/EnA34AjJF0aEX+u\nyrM1KUj9F7B5RDyTz3+L1Ht8mqTfVu7Vipr7J2tmZmbW+g4jzX05kDQksZ6PAqOAM6sDyxx8fj2/\n/WRNnsr7kytBas4zC/hBvt+BA6z7sHKgamZmZi0rgE5U9FVyeSpJbyWtVnRGRNzYTdLt8/HqOtd+\nV5NmIHlairv+zczMrHWFynf9p1UE1stbni94ucEW6bUkLQT8lLTy0DE9JF83H++rU97jkl4CJkga\nExEvS1qMtCb8ixHxeJ373Z+P6/Smrs3KgaqZmZnZ4PgKafb+NhExt4e0S+bjcw2uPwcsltO93Mv0\nkJbjbFkOVM3MzKxlDeLOVPf0tuW0HknvILWifrt6AtQAVNbM6uvIhJbeaMtjVM3MzMwKquryvw84\nrpfZKi2gSza4vkQ+Pt/L9D21uLYEB6pmZmbW0jpDRV8FjCWNDX0r8IqkqLyA43Oac/O57+b39+bj\nAmNKJa1I6vZ/JCJeBoiIl4BHgbH5eq2183GBMa+txF3/ZmZmZmW9Cvy4wbVNSONWbyIFp5VhAdcB\n7wR2rjpXsUtVmmrXAfvlPBf0Mk9LcaBqZmZmLSvQIIxRHVirap44dXC9a5JOIAWqF9ZsoXoBcBRw\nqKQLqhb8H0fXigFn19zubFKg+mVJl1ct+L8aaUvVV1kwgG0pDlTNzMyspXU2+c5UvRERD0k6Evge\ncKukX9K1heoE6kzKioibJX0H+DwwQ9IlpC1UPwiMBz7TyrtSgQNVMzMzs6YQEd+XNIu0xer+pLlE\ndwPHRsSFDfIcIWkGcCjwcaATuB34VkT8dkgqPogcqJqZmVnLSstTFZkA9YZ7DpaIOAE4oZvrVwBX\n9PGeFwJ1A9lW1/pt5WZmZmbWltyiamZmZi1MgzBGtWwLrfWfA1UzMzNrWa3W9W99465/MzMzM2tK\nblE1MzOzltYOy1NZff7JmpmZmVlTcouqmZmZtawI0VG4RTXCk6mahQNVMzMza2mdnqXfttz1b2Zm\nZmZNyS2qZmZm1rICynf9F72bDYRbVM3MzMysKblF1czMzFqY6Cw++cljXpuFW1TNzMzMrCm5RdXM\nzMxaVtpC1WNU25UDVTMzM2tp5bv+rVm469/MzMzMmpJbVM3MzKxlBaKzeNe/W2ibhVtUzczMzKwp\nuUXVzMzMWlqHx6i2LQeqZmZm1rIiyk+mCk/7bxru+jczMzOzpuQWVTMzM2tpneF2t3bln6yZmZmZ\nNSW3qJqZmVnLCkRH4eWkvDxV83CgamZmZi3NO1O1L3f9m5mZmVlTcouqmZmZtTRPpmpfLfWTlbS0\npIMlXSbpAUlzJT0n6SZJB0kaUZN+FUk/lHSLpNmSXpX0mKTpkg6UtHA3ZY2VdJykv0t6UdILkv4h\n6Ufd5TMzMzOzMlqtRXVv4CzgceB64GFgeWBP4DxgF0l7R7y+VO+awL7ALcDlwBxgaWAX4Hxgf0k7\nRsRr1YVIWg34A7AWMD2XKWA1YC/g88D8QXpGMzMz66UAOotPprJm0WqB6n3A+4ArI6KzclLSMcBf\ngQ+QgtZL86WbgXHVaXP6hYFrgCk5/cU11y4DVgV2j4jf1OQdCbzhfmZmZmZWXkt1/UfEdRFxRW3g\nGRGzgbPz2ylV5+fVps3n55MqdtIQAAAgAElEQVRaWAHWrrm8H7ARcEZtkJrzdlS12JqZmdmwEh1R\n9oWXp2oardai2p1KV/xr3abi9VbR9+S3M2oufzgfp+YhALsAS5GGGVwdEU/3tkKSbmtwab3e3qOV\nTNxwAuPGjWHS1msMd1WKGrNoGpI8adMJw1yT8saMXggEU962/HBXpagxo0YCsO0GKwxzTcobM2ok\nxEgmbdWef88mb7vuMNekvA0mtt+/Hc0kovxkKjdHNY+2CFQlLQTsn99eXef6MsChpK9IywI7ksaf\n/gL4bU3yzYFXSAHqN3jjZ/SSpMMi4vyiD2BmZmZmC2iLQBU4BdgAuCoifl/n+jLA8VXvAzgNOKa6\nG1/SKGAJoAP4Vn6dCbwI7A58DzhP0qyIuK6nSkXEpvXO55bWTdrtK9tdMx5hw41WZebdjw93VYqa\n9M41AbhxRns9F8DkjVaic2Hxu+eeGu6qFLXL0ssAcPXT7fVcADsvvwwj5gXTb390uKtS1KRNJ0Bn\nJzfe9MBwV6WoDdZfKf2b2Nkx3FUZBM3zf5gX/G9fLTVGtR5JhwFHAPeQxpcuICLuiQiRAvNVgc8B\nHwdulDS+KunIquOlEXFURDwcEXMi4gLgGFKr7BcH52nMzMzMrKKlA1VJhwBnAHcD20XEnO7S54lQ\nD0fEGcAngC2Bk6quvwzMy28vq3OLyrl3DLTuZmZmNnCV5alKvpqnrdhatutf0uHA6cBMYIeIeLKP\nt/hdPk6pOX8vMBF4tk6eZ/Jx0T6WZWZmZoNCg9D176EEzaIlW1QlfZEUpN5Jaknta5AKsHI+1q4S\ncG0+blAnT+XcrH6UZ2ZmZmZ90HKBqqTjSJOnbiO1pDacLSFpC0lj6pwfSxoyAHBlzeVzSMHr5yRN\nqMozGjg5v72o/09gZmZmJXXGiKIvax4t1fUv6QDSmNIO0tamh0kLNM/Pioip+c9HA1MkTSOtg/oy\nsApda6PeTFqC6nURcU9usf028HdJlwMvAe8G1iFtx3pq8YczMzMzszdoqUAVWD0fRwKHN0gzDZia\n/3wuKcjcnDQWdQxpnOltpG1Tz4+IBTYIiIjvSLqXtJrAXsAo4EHgK8BpETG3wLOYmZnZAAXll6fy\nZKrm0VKBakScAJzQh/RXsmDX/qDnNTMzs6HT6clPbcsDMczMzMysKbVUi6qZmZlZtYjyy1OFd7pq\nGm5RNTMzM7Om5BZVMzMza2nlF/y3ZuEWVTMzMzNrSm5RNTMzs5bmFtX25UDVzMzMWpbXUW1v7vo3\nMzMzs6bkFlUzMzNraV7wv30VaVGVNFnSRiXuZWZmZmYG5br+rwc+XuheZmZmZr0SpAX/S77CLbRN\no1TX/1PA3EL3MjMzM+udGIRZ/55N1TRKtajeAGxd6F5mZmZmZsUC1WOBdSV9VdLChe5pZmZm1qPS\nXf/WPEp1/R8NzASOAQ6S9HdgNgs2nkdEHFSoTDMzMzNrY6UC1Y9U/XmF/KonAAeqZmZmVoQX/G9v\npQLV1Qvdx8zMzKxPwt31batIoBoR/y5xHzMzMzOzCu9MZWZmZi1Mg7AzlVtom0WpWf8ASHqvpIsk\n/V3SA1Xn3yrpKEkrlyzPzMzMzNpXkRZVSQKmAv8vn5oLLFqV5Bng66SvKKeWKNPMzMzMk6naW6kW\n1U8D+wEXAOOB06ovRsRs4E/AroXKMzMzM7M2V2qM6kHA34GPRURIqvdl5H7g3YXKMzMzM4MYhFn/\nblJtGqUC1XWBcyKiux/tk8CyhcozMzMzA8p3/VvzKNX1/xowuoc0KwMvFirPzMzMzNpcqRbVu4Ep\nklSvVVXSaGB74I5C5ZmZmZkRlO/6d89/8yjVovpTYD3gdElvuKekkcB3gJVIKwOYmZmZmfWoVIvq\nOcD7gMOAvYEXACRdAmxJClJ/HRE/L1SemZmZGaBBGKPqMa/NokiLakR0ALsBJwGLAOuQfsp7AmOA\nr5ICWDMzM7OiIsq+rHkU20I1Il4DTpB0IilQXRp4DrgnB7JmZmZmZr1WLFCtyJOp7i19XzMzM7Na\nAXQW7qp3o2rzKB6oSpoEbAwsSWpRvSMippcux8zMzMzaW7FAVdI7gfOBtSqnyF9KJN0PHBQRfypV\nnpmZmZl3pmpvRQJVSZsCfyAt+j8NuAGYDawAbAdMBq6RNCkibi9RppmZmRl4Z6p2Vmod1ZNJQe/u\nEbFdRJwYEefk4xRgD9JqACcXKs/MzMysaUk6VdK1kv4jaa6kOZLukHS8pKUb5Nla0lU57cuSZkg6\nPK9J36ic3STdIOk5SS9KukXSAYP3ZEOrVKC6NfB/EXFFvYsR8WvgspzOzMzMrJgmXZ7qc8BipB7n\nM4Cfk7acPwGYIWmV6sSSdgduJPVCXwb8gNTIdzpwUb0CJB0KXAFsAPwMOJe8wZKk04o9yTAqNUa1\nE3ighzT3AzsVKs/MzMysmS0REa/UnpR0MnAMcDTw6XxuCVKQ2QFMiYhb8/njgOuAvSTtExEXVd1n\nNeA0YA6wWUTMyudPAv4GHCHp0oj482A94FAo1aJ6K/D2HtK8HfhrofLMzMzMCNJkqqKvEvWqE6Rm\nF+fj2lXn9gKWBS6qBKlV9zg2v/1UzX0+CowCzqwEqTnPM8DX89tP9qvyTaRUoHossKOk2g8RAEmH\nADsAxxUqz8zMzKwVvTcfZ1Sd2z4fr66T/kbgZWBrSaN6med3NWlaVr+6/iV9pc7p64AzJR0OTAee\nAJYHtiF9a7ia1PV/S/+qCnnw8R7ArsBEYGVgHnAXcAFwQUR0VqVfhdS0vimwKjAOeBr4F2kprZ9F\nxPyaMj6S79XIpyLi7P4+g5mZmZWk8stTpQ0E1pN0W72rEbFpr+8kfQEYS1pffjNSXDQDOKUq2br5\neF+dsl6T9BCwPrAG8M9e5Hlc0kvABEljIuLl3ta32fR3jOoJ3Vxbmzc2Z1fsAuwMfLWfZQLsDZwF\nPA5cDzxMCob3BM4DdpG0d94dC2BNYF9ScHw5aRzH0rku5wP7S9oxb/9a69fAnXXO31rnnJmZmQ2H\nGITlqcquo/oFUqxScTXwkYj4b9W5JfPxuQb3qJxfqo95Fsvp3nSB6nZFa9F79wHvA66saTk9hjT+\n9QOkoPXSfOlmYFx12px+YeAaYEpOfzELujwiphauv5mZmbWGe/rSctpIRKwAIGl50upHpwB3SNqt\nD2vLVyLxvoTQ/cnTdPoVqEbEtNIV6WW51zU4P1vS2aR1WqeQA9WImNcg/XxJl+e09Vp/zczMrEUU\nXFJq0ETEE8Blkm4nNbz9hLSsFHS1ii5ZLy+wRE26yp+XyXme7ibP8/2tM4AkAe8CdiQtnfWWXO5c\n4ElS7/N1wG8i4tGBlFVPqclUzaAy1rReN/4b5IVz35PfzmiQbKO8yO6XJO0naUKJSpqZmdmbV0T8\nG7gbWF/SMvn0vfm4Tm16SQsBq5PimwerLnWXZ0VSt/8j/R2fKmmMpC/lMq8mDWF4B2n4wZO5PmuQ\nerN/ADwk6VJJRdfML7WO6uty5L0CsHC96xHx8CCUuRCwf367wOy3/ItwKKkZfFnSt4K1gF8Av21w\n28/WvO+QdB5weDdLTtSWW3cQNrBeb/K3mokbTmDcuDFMeueaw12VosYsmn6VJ2+00jDXpLwxoxYC\nwS5LL9Nz4hYydmTaxGXn5dvruSA/22iYtGl7fXceMzr9dzR5m7WGuSblbbB++/3b0Uwqy1OVvucg\nq/xSdOTjdaQ5NTsD/1uTdjIwBrgxIl6tOn8d8M6cp3at1F2q0vSZpAOBrwErAvcAJwJ/Av4WEc9X\npRNpUteWwLuB3YH3S7oEOLJEzFcsUJW0N/Al0mz8Rlt9Rckyq5xCaj6/KiJ+X+f6MsDxNfU4DTim\nauJVxUPAZ0hjWB8hNalvA3wD+ASpKf3DRWvfTlqh/6W/2vTRRowIlljo1Z4TtpLORQlg1Mj5PSZt\nNYoRRIe6Rp+Z2SDM+h8YSesBz0bE7JrzI0iTypcDbs5rngJcApwK7CPp+1UL/o8mBYyQJpNXuwA4\nCjhU0gVVC/6PI20oANDfVYp+TJqE/o2I+FujRDmGuie/puaNCw4gxYMfAU7qZ/mvKxI05nVSv0dq\nBr4JeJRedMEXKvsw4AjSh7RfvTQRcU9KqpGkJa32IH1420jaNSLmVKWdBlSPwX0Z+JWkvwB/Bz4k\n6dSI+HtPdWs0CDu3tG7Sm+drJXfNeISJG67CzLseGe6qFDV527QCyPS/Pz7MNSlv0sYrM3bxebD4\nX4a7KmW9sCXzYgT3jbpruGtS3DqvTmT+qwsx7a7ZPSduIdtOXAE6Ornxpp42OWwtG6y/EjP/8dhw\nV8OG3s7AtyTdSFoS82nSzP9tSd3ls4GPVRJHxPOSPkYKWG+QdBFppaL3kVosLwF+WV1ARDwk6UhS\n/HWrpF+SluzcC5gAfHsAu1Jt1oeJXtV1eh74vqRzgdX6WfYblGrd/BxpvMLWEfFQoXv2KAfIZ5DG\neuxQHXDWExEdpCWtzpD0BKl5/STSsIBuRcR/JF1FapqfTApazczMbJg1YYfXH4Efkbrm304a1/kS\naRLVT4Hv1cYsEXG5pG2BL5PGfY4mbU//+Zx+gceMiO9LmkUaP7o/ae7R3cCxEXFhfyvfnyC1Jv8r\npAbEASsVqK4MnDvEQerhwOnATFKQ+mQfb1HZtWFKH/JU1jxbrI9lmZmZ2ZtERMwEDulHvj/RNdm7\nt3muAK7oa1mtotSs//+Q9psdEpK+SApS7wS260eQCim4hr4NUdgiHx/sNpWZmZkNmQgVfVl9klaR\ndP5QllkqUJ1K2hVq8UL3a0jScaTJU7eRWlKf6ibtFpLG1Dk/ljRkAODKmmuT6qSXpKOBrYCnqL+v\nrpmZmQ21GKSX1TOeNFlqyJTq+j8V2BT4o6SjgNsj4oVC936dpANIY0o7gOnAYWllhDeYVbWj1NHA\nFEnTSGNTXwZWIS3bsBRp56pv1OS/UdJ9wN9Ik8KWJI0x2SDn37d6aQYzMzOzdiBp/x6SvGVIKlKl\nSKAaER2SfgD8irxmV50AMieNgZS5ej6OBA5vkGYaqYUX4FzS4OXNSWNRxwDPkFpjLwbOj4jarv/T\nSAvabk/65tBJCnJ/AHwnItztb2Zm1jQGo7v+Tdv9P5XUKNeoTXnIN4oqtTzV7qSlE0aS1iF9jEFY\nnioiTgBO6EP6K6np2u9FniP7ViszMzOztvAYcFhE/F+9i5I2IjX2DZlSXf8nkCLwXSPipkL3NDMz\nM+tW2pmq/D3fpCrrvNcNVEkfzZA2N5cKVNcFfuIg1czMzIaaZ+oXcxowtpvrDwDbDVFdgHKB6lOk\n3RDMzMzMrAVFxPQerr/EG3fvHHSlAtVLgZ0lLRwR7be5tpmZmTUvt6i2rVKzt44lzab/laTVCt3T\nzMzMzIaRpMmSRg9X+aVaVO8CFibt3PReSc8Cz9VJFxGxZqEyzczM7M0uyk+mejPPpqrjeuCtwH3D\nUXipQHUEaTmqh6vO1WuHd9u8mZmZWesY1tit1IL/q5W4j5mZmVmfuQW0bZVqUTUzMzMbFl6eqn0N\n+VZYZmZmZma9UWoL1f17mzYiflKiTDMzMzPAXf9trFTX/1R6/jVRTuNA1czMzMx6VCpQPbDB+aWA\nzYF9SJsCXFmoPDMzMzPAY1TbWalZ/xd2d13SBaQg9XslyjMzMzMDUl+t11EdTCcDTw1X4UMymSoi\nrgWuBk4aivLMzMzMbOAi4riImDNc5Q/lrP/7gM2GsDwzMzNrexqklzWDoQxU34Yb083MzMxaiqST\nJd0qaXzN+YUlTRjMsgc1UJU0QtKqkr4G7AJMH8zyzMzM7E0oCr+s1ruAkdVDACRtDDwK/FvSg5Km\nDEbBpdZR7aT7H62Ap4EjS5RnZmZm9joHl4NtNeA3NedOBpYBbgI2AH4r6e0R8a+SBZdanupG6v+a\ndALPAH8FLoiI/xYqz8zMzMyGxhLAE5U3kpYCdgQujoh9JK0F/B04CvhEyYJLLU81pcR9zMzMzPrM\n66gOtkdJracVO5GGj/4IICIekPQbUvBa1FBOpjIzMzOz1jMDeLekkfn9vsDLpB71ioeAlUoXXKrr\n38zMzGzIBRCFx6h6yOsCTgemAddKuh/YDbgkIl6rSrMc8ErpgvsdqErq1+L9EfGV/pZpZmZmZkMr\nIqZLOhY4EZgMPJf/XG194PHSZQ+kRfVY0peO3gwMqf5y4kDVzMzMyvAWqkMiIr4u6TxgPeAfEfF0\n5ZqkNYB3AD8rXe5AAtUDe5luMeBwYC38ozczM7PSPJlqSETEk8CTdS4tAVwIXF66zH4HqhFxYXfX\nJQn4KPBlYEXSsgbH97c8MzMzM2s+EXEnKeYrblAmU0naGfgmabzCXOCrwDcj4qXBKM/MzMzenASo\ncH+t22ebR9HlqSRtKOka4ErgbcBUYO2ION5BqpmZmVlrkTRZ0ujhKr9IoCppJUkXALeR9oP9A7BR\nRBwUEcVngJmZmZm9Lgq/rNr1wFuGq/ABdf1LGgt8EfgcMIa0IOxREXFNgbqZmZmZ9cyTqQbTsH64\nA1lH9ZPACcCypHWzDgUujCi97K6ZmZmZvRkNpEX1h6QG8geA75OGERyYJvs3FhHnD6BMMzMzsy5e\nR7WtDXTWv4C1gTN6mTYAB6pmZmZm1qOBBKq1W2eZmZmZDT23gLatgSz470DVzMzMhp8D1bZVdB1V\nMzMzM7NSBmVnKjMzM7Mh4+WpBtPJwFPDVbgDVTMzMzOrKyKOG87yW6rrX9LSkg6WdJmkByTNlfSc\npJskHSRpRE36VST9UNItkmZLelXSY5KmSzpQ0sK9KHOUpJmSQtIjg/d0ZmZm1h+Ksi9rHq3Woro3\ncBZpg4HrgYeB5YE9gfOAXSTtXbXpwJrAvsAtwOXAHGBpYBfSMln7S9oxIl7rpsyvA6sOwrOYmZmZ\ntQxJ6wFbkJYcfTgirhvsMlstUL0PeB9wZUR0Vk5KOgb4K/ABUtB6ab50MzCuOm1OvzBwDTAlp7+4\nXmGSppC2h/00KUA2MzOzZuIF/wdd7rH+MbB/5RTQSY4jJWmwdiZtqa7/iLguIq6oDTwjYjZwdn47\nper8vNq0+fx8UgsrpA0LFiBpCWAqcG1EnF0vjZmZmdmbwBeBA4A/A58kNQhWz2DbWtIsSduVLrhI\noCpptRL3GaD5+dhdNz4AkkYC78lvZzRI9j1gHHDQwKtmZmZm1rIOBO4Fto2Ic4GZ1Rcj4k+k+Ot/\nShdcquv/QUkPksaNXgtcFxFPFrp3jyQtRFdz9NV1ri8DHEqK/pcFdgTWAn4B/LZO+j1I3xwOjoiH\nB1Cv2xpcWq+/92xmEzecwPjxizF523WHuypFjRmzCACTNl55mGtS3pjRC0HnSHhhy+GuSlmdi7II\nsM6rE4e7JsUtEqNYeJTYduIKw12VosaMSv8dTd5mrWGuSXkbrL/ScFeh7XkC1KBbFfhBRHR0k+Y2\nYOvSBZcKVC8BtiW1Pn4UQNLdwHWkwPWGiHi+UFn1nAJsAFwVEb+vc30Z4Piq9wGcBhxTO6ZC0vLA\nOcDvIuLHg1RfMzMzs1bxPDCqhzSPAsW7/osEqhHxPwCSNgR2yK9JwGdILZmdkm4njfc8pkSZFZIO\nA44A7gH2a1C/e1JSjQRWBvYATgK2kbRrRMypSn4usDDwsYHWLSI2bVDn24BNUHstUHzXjEeYuOEq\nzJz56HBXpajJk9cB4MYZs4e5JuVN3nglxo6dB4v/ZbirUtYLW9IRMGexNnsuYNmXtuSVVxdh2l3t\n9fu47cQVoKOTG296YLirUtQG66/EzH88BiNGDndVyutolv/DNAgL/jfLszWNvwHvkjSi3tyfrBNY\nsnTBRSdTRcSMiDg9InYDxgPvBE4EngY2Jw3GLUbSIcAZwN3AdjUBZ736dUTEwxFxBvAJYEtSwFq5\n3/7Ae4HPRkR7RVtmZmbtKgq/rNaPSZPPT+omzYakeK+oQVmeStK6pFbVd5Fm4S+VL91fsIzDgdNJ\nA3p36MeY2N/l45Sqc5vk44WSLqyTZ2Xp9ZEw4yLi2T6WaWZmZtZSIuJSSb8Ejpb0VuCV6ut5bs+7\nSENBiyoSqEpama4u/x2AFUnt5o8AvyGPVS3VSinpi6RxqXcCO0ZEf/agrcyMqV4l4M/A2AbpDwJe\nBv43v3+1H2WamZlZaW4FHQr7klpMP1U5Iel60jygt5FWXzq1dKGlWlQrM+OfBm6gKzAt1oJaIek4\nUtPzbcBO3XX3S9oCuCsiXq45P5Y0ZADgysr5iPgl8MsG9zoIeCYiDh7YE5iZmZm1ljw29VBJPyXN\nQdqRNJEe0lKfR0ZEo9WO+q1UoFoZdfww8C/gAeA/he7dVYh0AClI7QCmA4dpwQlJsyJiav7z0cAU\nSdNy3V4GViFtoboUaeeqb5Sup5mZmQ0dL081dCLiFtLW9EgaBSgiXuk+V/+VClR3ALbPxyOAo4B5\nkv5MWp7qWuCv3cwU663V83EkcHiDNNNIO0pBmsH/Emki1xRgDPAMqTX2YuD8iOhxgwAzMzNrUt5C\nddhExKAPgyy1PNX1pMX+j8vd6lPoCl5Pyq8XJU2LiPcNoJwTgBP6kP5Kqrr2ByKi+NoXZmZmZk1H\n0qIRMXe47wGFl6cCiIgXI+K3EfE54N2kFtb/AosDu5Yuz8zMzN7kvDxVaQ9J+mzu2u8TSW+X9Gvg\nCyUqUjRQlbS4pN0knS5pBmmXgm8DywFzgMtKlmdmZmZmxV0DfAd4XNJZkraTtGijxJLWkPSpPOTz\nduDtpJ72ASu1PNVXSV39m5HGj4o0NvQa0vjU64A7arcrNTMzMxsoT6YqKyL2l/Q94OvAx/OrQ9I/\ngcdJ831GA0sD65KWqBLwBPBl4PRS41dLTab6MjCPtA5pJTD9iycqmZmZmbWeiLgV2EnS2qS15HcA\nNgIm1iT9L/B/wKXApRExv2Q9SgWqOwPTSwyaNTMzM+sTz3ceNHlN/C8BSBpD2jBpaWAu8GREPD6Y\n5Zea9X9NifuYmZmZ9Zm7/odE3kDp/vwaEqVaVIHXI+09gY1JC+o/RxpUe1lEvFSyLDMzMzNrb8UC\nVUnvAS4ExtO1UxWk7zmnSzowIn5bqjwzMzMzRfnJVJ6c1TxKzfrfhDSQdiTwc9JkqseBFUmL/n8I\nuETSOwdjH1gzMzMzaz8lZ/0HMCki/lJzbaqkHwA3AMcAHyhUppmZmZnHqLaxUoHqJOBXdYJUACLi\nFkmXkHaqMjMzMyvGXfXtq9TOVEsC/+khzcPAEoXKMzMzM7M2V6pF9THgHT2k2Yw0btXMzMysHLeo\nNgVJC5Xe7KlUi+pVwPaSviRpZPUFSSMkHQG8K6czMzMzsxYh6UeSRveQZnXgptJll2pR/SrwfuBk\n4BOSppNaT1cAtgFWA2YDXytUnpmZmVniFtXBdjCwpaT/iYh7ai9K2gs4l0EY4lmkRTUiZgPvBP4I\nrAr8P+BIYD9g9Xx+m8HeZsvMzMzeZKJrLdVSLwe+CzgZeBtwq6QDKyclLSLph8AvgQ5gj9IFF1vw\nPyJmAe+WtDJpZ6olSTtT3RERj5Yqx8zMzMyGTkQcJ+kG4GfAeZK2B84AzgM2BP4EfCgiHilddtEt\nVAFyUOrA1MzMzKxNRMS1kt4O/BT4cH51koZ1nhARnYNRbqnJVD2StJ6kXw1VeWZmZmbDQdLSkg6W\ndJmkByTNlfScpJskHSSpbvwlaWtJV0maI+llSTMkHV47Ub0mz26Sbsj3f1HSLZIOGKRHexH4L6D8\neg64cbCCVBiCQFXSqpIuAO4C9hzs8szMzOxNJgq/Bm5v0uSiLYBbgO8ClwIbkLrLL5ak6gySdgdu\nBCYDlwE/ABYBTgcuqleIpEOBK/J9f5bLXIm0K+hpRZ6kq6y3A7cDHwJ+D3wy1+9qSSc3Cr4HakA3\nlbSVpGslPS/paUmXS1orXxudP6R7gQOAJ4HPDrzKZmZmZk3tPuB9wISI2Dcijo6IjwLrkTZI+gBV\njXeSliAFmR3AlIg4KCKOBDYC/gzsJWmf6gIkrQacBswBNouIQyLic6Qxo/8CjpC0VYmHkXRIrsca\nwDERsUtE/AjYFJgBfAmYLuktJcqr1u9AVdKGwLXAdsBYYBzph3KdpAmkB/o8qVn4C8CaEXHmgGts\nZmZmVqX4rP8BiojrIuKK2i7xvErS2fntlKpLewHLAhdFxK1V6V8Bjs1vP1VTzEeBUcCZeUJ7Jc8z\nwNfz208O7Ele931Sg+O2EXFqVVn3A1sCPwS2Au4oVN7rBtKiehQwGjiHtCvVFsCPgQnAdFJEfxop\nQP1O/rDNzMzMymq+rv/uzM/H6h2cts/Hq+ukvxF4Gdha0qhe5vldTZqB+jWwcUT8ufZCRMyLiM8w\nSMM7BzLrfxvgloiojvD/lscwbAp8OSJOGVDtzMzMzIbHepJuq3chIjbtzw0lLQTsn99WB5jr5uN9\ndcp6TdJDwPqkrvd/9iLP45JeAiZIGhMRL/envlX363F91Ii4vNHnNRADaVFdgbRuVq3p+fjjAdzb\nzMzMrHdap0X1FNLEp6si4vdV55fMx+ca5KucX6ofeZZscL24iPhP6XsOpEV1EeD5Ouefh//f3p2H\ny1HV+R9/f7IQDAgBwiYJ+6ZDEASGPQkoKOKuKCMjyA8VRjAwqOMYRaKjAzq4EBAREeIyDjKgKKCA\nY0iIgkGiCIgBESMEiMhi2BOS+/39cU6TTtN9b9++1be7Op/X89RTt+ucqjrV1ffeb586C0TE34Zw\nbDMzM7NOWthqzWk9kqYBHwYWkmbuHNTueT2YMLqVfeofSLq3yawREdsN9XzVCh/w38zMzGzYFNQB\nqvaYRcq95s8G7gReHRGP1WQZqPZzvZp8lZ/H530e7WefepWKgzWC+u/K+qyq5X2QVe1vCzPUQPUt\neXiEarsBSLqoTv6IiOOGeE4zMzOzVdrfAaplkk4hjYV6BylIfbhOtruAPYEdgdXaeeZ2rduQOl/d\nW7PP+LzPTTX7bA6sA66tNGAAACAASURBVCweavtUgIjYulFaHpZ0Zj7fa4d6rlpDDVR3y0s9762z\nLQAHqmZmZtbzJH2M1C71VuCQiHikQdbZwFHA64D/qUmbDIwlzQC1rGaf/fM+tb3xD6vK01YRcY+k\nt5EC8dOBjxd5/KEEqscWVgozMzOzFojiH/1r4CwDH0M6DfgMqYb00DqP+6tdBnweOFLSOZWxVCWt\nDXw25/lazT4Xk4YKPUnSxZWxVCVtAEzPec5nGETEc5J+Rpq1qjsC1Yj4VpEFMTMzM+sFko4hBakr\nSaMhTauZMRVgUUTMAoiIJyS9nxSwzpF0CWnGqTeRhqG6DPh+9c4R8WdJHyU9dr9F0veB5aTJAyYA\nX6w37mkbrSCNCFUod6YyMzOzcuu+Nqrb5PVI4JQGeeYCsyov8jikU4BPkKZYXRu4hzTL58yIeNFV\nRsQ5khaRZgA9mtTp6U7gk8NZoShpPPBW0vSwhXKgamZmZuXWZYFqRMwAZrSw3y+B1w9ynyuBKwd7\nrsGQ9KkGSaOAicCbSSMAFPrYv3ICMzMzM7NGZgyQ/gTw2Yj4QtEndqBqZmZm5VWCcVR7wEENtvcB\nj5MmR1jRjhM7UDUzMzOzhiJibqfO7UDVzMzMys01oD1rRKcLYGZmZmZWj2tUzczMrNxco1ooSRe1\nuGtERKEzkLYUqEo6utUTRsS3W93XzMzMrFbhnansvS3uF0DnA1XSALWD/Vgo79NyoCppI9KAsocD\nk4AtSLMw3E6aSuziiOiryj+RNKbXHsBWwAbAo8CfgIuA70bE8zXnmAy8H9gd2BxYB3gon+PsiPh5\nq+U3MzMzK4FtBs4yPFoNVI8ttBTNO4I01+1DwPXAfcCmwNuAC4HDJB1RNXvDdsBRwHzgCtJ0ZBsB\nh5EC1aMlHVIzpMLBeZkPzAaeBrYkTWP2RkmfjYjT2nqVZmZm1jzXqBYqIv7S6TJUtBSoDue0XDXu\nJgWMV9fUnE4HbiZNOfY24PKcdCOwQXXenH80cB0wNee/tCr5zDyjBDX7bAH8Bpgu6byIeKigazIz\nMzPrKrmZ560RcVsny1GqXv8RMTsirqwNPCNiCXB+fjm1avvy2rx5+/OkGlaAHWrSnmtw7gdIge8I\nYNtWr8HMzMwKlAf8L3JxDS2Qmnm+pXqDpGMkzR7OQhTa61/SxqRazZcD60TE+6q2bwPcHhHPFnnO\nKpW2pgPOjCBpJKvm0m3qm4KkTYC9gWXAXa0U0MzMzNrAgeVw2RqYMpwnLCxQlXQcMBNYm1Udp96X\nkzcFbgI+AHyzqHNWnXsUUBmJ4Jo66eOBk3K5NgYOAbYHvgdc1eCYewJvIL1HE0hNDtYDPhQRjzRZ\nrgUNknZuZv+ymbTrBDbccB0mT96x00Up1NixawEwefeXdbgkxRs7ZhT0jYQn9+l0UYrV9xJGAhs/\n3WPXBYyMlzB2jJgyabNOF6VQY8ekf0eTD9i+wyUp3i7/0Ht/O8yGSyGBqqRDgAtItZOnA68FTqik\nR8Qdkn5PqkIuPFAFzgR2AX4SEdfWSR+fy/VCkYCzgOlVHa9q7Vmzz5PAsRHxnQLKm0vhr4Cl0qP3\nq69PPPX8mE4Xo1DrjhQAz/bYdQGsMzpdW69+HntSBPSt7HQp2qCLPoNdVBQrVlE1qh8j9cSfEhFP\nSNq9Tp7bgH0LOt8LJE0DPgwsBN5TL09ELExZNZI0pNVbgc8AB0g6PCIeq7PP+cD5ktYmNVs4Afi2\npP0j4oTa/A3Ou0eDMi8AXtXMMcrk9tsWM2nXidx+++JOF6VQU6bsBMC8X9/X4ZIU78C9t6JvrRFc\nu6SphwSl8drNxqM+uG5xb10XwKETxqMVfcz79f2dLkqhDtxrIvQFN8ztrZZVu0yawB099jfRbDgV\n1ZlqT+CqiHiinzyLgUKfVUk6ETgbuBM4qF7AWS0iVkbEfRFxNnA8sA8pYO1vn+ci4g8RcTLwdeB4\nSe8o5grMzMxsqFTwYi/oeF11UYHqWqTxRvszDijs2YekU4BzgTtIQeqSQR7ip3k9tc37mJmZWTtF\nwYtVzJC0srIAnwKo3lazDNihfbCKevS/iDT7U3/2pqDe8pI+RmqXeitwSLOdm2pskdeDeVNb2cfM\nzMysjAZbwVx4hXRRNao/Ag6UdES9REnHAruyaiD+lkk6jRSkLgBe3V+QKmlvSWPrbF+X1GQA4Oqa\ntCmSXvS+SNoO+ES9fczMzKwzRPHjqPrxP0TEiFaWostRVI3qF4Ajgf/J7TfXB5B0EnAgafanPwLn\nDOUkko4htSldCcwDpkkv+jgtiohZ+eePA1MlzSVNt/oMMJE0heo40gD+Z9Ts/yPg75LmA/eT3qPt\ngNfln8+JiJ8N5TrMzMzMbGCFBKoR8bikKcC3gepa1Zl5PQ94d0QM1I51INvk9UjglAZ55pJmUwD4\nBqnt7F6kdqVjgcdJtbGXAhdFRO1j/NOBQ0kdrd6Yz/VX0kxWFzYY/srMzMw6oR3tSt1OtWsUNuB/\nRNxHqr3clTQM1UbAUuBXEdFo4PvBnmMGMGMQ+a9mkI/p84gAZw+Y0czMzMzaqtApVAEi4jaanJbU\nzMzMbMhcA9qzCmn0KqmpOTMlvbmI85mZmZlVFN2ZyrpHUb2zbpH0z40SJY2WNBP4QUHnMzMzM7Me\nV1Sg+izwLUkXS3pJdUIe1ukm4CTg1wWdz8zMzCzxgP89q6hA9ZXAHOAYUu3qLgCS/gn4DbA7cBZw\nQEHnMzMzM7MeV9TwVEskvYY0tdYngfmSrieNV/oI8E4P62RmZmbt4HalvavI4akC+LSkh4GvsipI\nfVVEPFDUeczMzMxe4HFUe1qhU11Jej/pEf9KYBGwMfAdSZsXeR4zMzMz631FDU/1UkmXAOcDjwEH\nA68gzQw1FbhV0uFFnMvMzMysmoen6l1F1aj+Fngn8BNgt4iYFxHLIuJ44F3AGODHkr5U0PnMzMzM\nrMcVFahOBD4SEW+MiEerEyLif4FXAQuAkws6n5mZmVni4al6VlGdqQ6MiJsbJUbEvZL2A84s6Hxm\nZmZmiYPLnlXU8FQNg9SqPCuAjxRxPjMzMzPrfYUNT2VmZmbWCe4A1btaClQlXUSqaJ8eEX/Nr5sR\nEXFcK+c0MzMzszVLqzWq7yUFqp8H/ppfNyMAB6pmZmZWDA/439NaDVS3yesHal6bmZmZDRsBimIj\nSxV6NBuKlgLViPhLf6/NzMzMzIZqyJ2pJG0J7EWqKP91RNw/5FKZmZmZNcuP6nvWkAJVSWcBp7Cq\nljwkfTkiPjrkkpmZmZnZGq3lmakkvRs4lRSkLgTuyj+fKumfiimemZmZWf8UxS7WPYYyhepxwArg\nNRHxDxHxCuC1QB/u2W9mZmZmQzSUQHVX4IqIuL6yISL+D/gRsNtQC2ZmZmbWlCh4sa4xlEB1A9Lj\n/loLgXFDOK6ZmZlZcwp+7C8Hq11lKIHqCOD5Otufx0OQmZmZmdkQDXV4Kn/nMDMzs85yNNKzhhqo\nzpA0o16CpJV1NkdEDHnsVjMzMzPrfUMNGgf7iN9NAszMzKxQHlKqd7UcqEbEUNq3mpmZmRXDgWrP\ncrBpZmZmZl3J7UXNzMys1Pzov3e5RtXMzMzMupJrVM3MzKy8ItJS9DGtKzhQNTMzs9ISxT/69xBF\n3cOP/s3MzMysK7lG1czMzMrNT+p7lmtUzczMzKwruUbVzMzMSk19nS6BtYtrVM3MzMysK5UqUJW0\nkaT3SfqhpHskPStpqaRfSDpO0oia/BMlnSdpvqQlkpZJelDSPEnHShpd5xz7S/qCpF9L+lve58+S\nLpS0/fBdrZmZmQ0o2rRYVyjbo/8jgK8BDwHXA/cBmwJvAy4EDpN0RMQLA6BtBxwFzAeuAB4DNgIO\nAy4CjpZ0SESsqDrH5cDGwI3AfwMrgH2B44Ajc/6b2nqVZmZm1jTPTNW7yhao3g28Cbg6Il5okSJp\nOnAz8HZS0Hp5TroR2KA6b84/GrgOmJrzX1qV/GXgOxHxYM0+04HPARcAk4q7JDMzMzOrp1SP/iNi\ndkRcWRt4RsQS4Pz8cmrV9uW1efP250k1rAA71KR9vjZIzT4PPAvsImmj1q/CzMzMClWZnaqoxbpG\nqQLVATyf1yv6zQVIGgm8Pr+8rcnjR9WxVw6uaGZmZmY2WGV79F+XpFHA0fnlNXXSxwMnkWZF2xg4\nBNge+B5wVZOnOQJ4KfCriPh7k+Va0CBp5ybPWSqTdp3Ahhuuw5QpO3W6KIUaO3YtAA7ce6sOl6R4\nY9ceDYLXbja+00Up1LojR8JIOHRCb10XwDqjR8KokRy418ROF6VQY9dOfVsn99jfD4BdJk3odBF6\nntuo9q6eCFSBM4FdgJ9ExLV10scDp1e9DuAsYHpVx6uGJG0DnEOqUf3w0Iv7woELO1T36OG/Fr36\nOChgxPM9dm35WZFW9Nh1waq/2n09eG29rBf/3nfTR7CbymKFKn2gKmkaKXhcCLynXp6IWJiyaiSw\nBfBW4DPAAZIOj4jH+jn+JsBPSTWxJ0bEjc2WLSL2aHDMBcCrmj1OWdx+22Im7TqB229b3OmiFGrK\n1FTDM++X93a4JMU78IDtYMQI5t6+pNNFKdSUSZtBwA2/rdfcvNwm7/4y6Ovjhl/c0+miFGryAWn0\nvxvm3tXhkhRrl0kTuOP23vqbaDacSt1GVdKJwNnAncBB/QWcABGxMiLui4izgeOBfUgBa6PjbwLM\nBnYCTo6I8worvJmZmQ1dpEf/RS6uoe0epQ1UJZ0CnAvcQQpSB1sl9NO8ntrg+JsDc4BXkGpSZ7ZW\nUjMzMzNrRSkf/Uv6GKld6q3AIRHxSAuH2SKvXzRKgKQJpJrU7YETIuKCVstqZmZmbdarfQisfDWq\nkk4jBakLgFf3F6RK2lvS2Drb1yU1GQC4uiZtS2AuaVar4xykmpmZdS9R/KP/Huz6VlqlqlGVdAyp\nTelKYB4wTS/uSbkoImblnz8OTJU0lzTd6jPARNIUquNIM1edUbP/XGBrUiC8laQZdYoyKyIWDe1q\nzMzMzKw/pQpUgW3yeiRwSoM8c4FZ+edvAE8De5Haoo4FHicFoZcCF0VE7aP/rfN6j7zUMwdYNIhy\nm5mZWbv4yX/PKlWgGhEzgBmDyH81NY/2m9jHNf5mZmZmXaBUgaqZmZlZLc9M1btK15nKzMzMrNtJ\neoekcyTNk/SEpJD03QH22U/STyQ9JukZSbdJOiVPWNRonzdImiNpqaSnJM3PfXp6gmtUzczMrLyC\n4qcULuZwnwReCTwFLAZ27i+zpDcDlwPPAd8HHgPeCHwZ2B84os4+J5GmeH8U+C6wHHgHMEvSpIj4\nSCFX0kGuUTUzM7Nyi4KXYvwrsCOwHvAv/WWUtB6pA/hKYGpEHBcRHwV2A24C3iHpyJp9tgbOIgW0\ne0bEiRHxr8CuwJ+AD0vat7Cr6RAHqmZmZmYFi4jrI+KPEU3NRvAOYGPgkoi4peoYz5FqZuHFwe7/\nA8YA51YPmRkRjwP/mV+e0GLxu4Yf/ZuZmVmp9UBnqoPz+po6aTeQxoHfT9KYiFjWxD4/rclTWg5U\nzczMzF5sZ0kL6iVERKNx1lu1U17fXedcKyT9GfgHYFvgD03s85Ckp4EJksZGxDMFl3fYOFA1MzOz\ncmvq6XpXWz+vlzZIr2wfN8h91sn5HKiamZmZDbtow6P/dLyFbag5bVVlMqLBXGkr+3Qdd6YyMzMz\n66xKrej6DdLXq8k3mH2eGEK5Os6BqpmZmZVbdw5PNRh35fWOtQmSRgHbACuAe5vcZ3PSY//FZW6f\nCg5UzczMzDptdl6/rk7aZGAscGNVj/+B9jmsJk9pOVA1MzOzEgsUxS4dqFa9DHgEOFLSnpWNktYG\nPptffq1mn4uBZcBJefD/yj4bANPzy/PbVN5h485UZmZmVm59nS7Ai0l6C/CW/HKzvN5X0qz88yOV\nKU4j4glJ7ycFrHMkXUKacepNpGGoLiNNq/qCiPizpI8CM4FbJH2fVVOoTgC+GBE3tev6hosDVTMz\nM7Pi7QYcU7Nt27wA/AX4SCUhIq6QNAX4BPB2YG3gHuBUYGa9Ga4i4hxJi/JxjiY9Kb8T+GREfKvQ\nq+kQB6pmZmZWWgry4/pijzlUETEDmDHIfX4JvH6Q+1wJXDmYfcrEbVTNzMzMrCu5RtXMzMzKrdRD\n2lt/XKNqZmZmZl3JNapmZmZWbgW3UbXu4UDVzMzMSq2Izk/Wnfzo38zMzMy6kmtUzczMrNz86L9n\nuUbVzMzMzLqSa1TNzMysvAJU9BSqrqDtGg5UzczMrNz86L9n+dG/mZmZmXUl16iamZlZublCtWe5\nRtXMzMzMupJrVM3MzKzEAhXeRtVVtN3CgaqZmZmVV1B8ZyrHqV3Dj/7NzMzMrCu5RtXMzMzKrehx\nVK1ruEbVzMzMzLqSa1TNzMys1IrvTGXdwjWqZmZmZtaVXKNqZmZm5eYa1Z7lQNXMzMzKy8NT9TQ/\n+jczMzOzrlSqQFXSRpLeJ+mHku6R9KykpZJ+Iek4SSNq8k+UdJ6k+ZKWSFom6UFJ8yQdK2l0nXNM\nkPQJSf+bz9EnKSRtP3xXamZmZk3rK3ixrlG2R/9HAF8DHgKuB+4DNgXeBlwIHCbpiIgXngFsBxwF\nzAeuAB4DNgIOAy4CjpZ0SESsqDrHnsBnSRX/fwaWAuPafF1mZmZmVqNsgerdwJuAqyPihe88kqYD\nNwNvJwWtl+ekG4ENqvPm/KOB64CpOf+lVcm3AJOB30XEE5LmAFPacTFmZmY2NCIKH55KbqTaNUr1\n6D8iZkfElbWBZ0QsAc7PL6dWbV9emzdvf55UwwqwQ03a4oiYFxFPFFp4MzMza4+IYhfrGqUKVAfw\nfF6v6DcXIGkk8Pr88ra2lcjMzMzMWla2R/91SRoFHJ1fXlMnfTxwEiBgY+AQYHvge8BVbSzXggZJ\nO7frnJ00adcJbLjhOkyZulOni1KosWPHAHDgAdt1uCTFG/uStQCYMmmzDpekWGPHpD9tk3d/WYdL\nUryxa+drO6C3+neOHZs+i5On9NbfD4BdJk3odBF6m4en6mk9EagCZwK7AD+JiGvrpI8HTq96HcBZ\nwPSqjldmZmZm1kVKH6hKmgZ8GFgIvKdenohYmLJqJLAF8FbgM8ABkg6PiMfaUbaI2KNBmRcAr+q1\ndjC337aYSbtO5PbbF3e6KIWakmt4brjh7g6XpHiTJ+8IEvN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iTnN+vvaj/PrRfF5gTKmklUjd/k9HxGyAiJgFPAMsnu9XWzufFxjz2krc9W9m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\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 277, "width": 341 } }, "output_type": "display_data" } ], "source": [ "tpf.plot(aperture_mask=aperture_mask);\n", "tpf.plot(aperture_mask=background_mask);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Checks out. Let's apply the equation above:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "lc_aper = tpf.to_lightcurve(aperture_mask=aperture_mask) \n", "lc_back_per_pixel = tpf.to_lightcurve(aperture_mask=background_mask) / N_back_pixels" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "lc_net = lc_aper - lc_back_per_pixel.flux * N_targ_pixels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Drop the previously-identified spurious cadences." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "lc_net = lc_net[~spurious_cadences]" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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www4zlhabOREREaVD6n6xReR4EblVRF4SkS9EREXkAZ9p7Soi94rIhyKyXkQWi8jNIvKN\nMvsdIyJ/EZFPcvstFZGnRORgf++KKB4mg4nbb7/dWFr2Zk6sLSEiIkqm1AUTAEYBGA6gD4DlfhMR\nkT0BzAYwFMBrAG4C8D6A8wH8Q0R2KLJPBxGZAGAagH0BPAngBgDPA9gTwAF+y0MUh02bNhlLq3v3\n7sbSsgcTnBCPiIgomdI4NOwFAJYBWAhgAIAZPtO5A8BOAM5T1VvzC0Xkxlwevwdwlm2fCwEMAzAZ\nwOmquqFwpYh08lkWoliYrJno1Mncx58dsImIiNIhdcGEqrYGD34vOERkDwBHA1gMwN42IwPgDAAn\ni8iFqvpVbp8uAEYjG8gMswcSubJt9FUgopiYrJno2LGjsbTcntuFzZ/YFIqIiCh6qQsmDDki9/y8\nqra5Nauqa0TkZWSDjYMBvJBbdQyA7QDcCaCDiBwPYC8AawDMVNV/RVJyIoOWLFliLK2tttrKWFrl\n+l/kA4fC5k8MJoiIiKJXrcHE3rnndx3WL0A2mOiJzcFEv9zzRgDzAfxX4Q4i8gSAU1R1bbnMRWS2\nw6pezc3NaGpqKpdE1Vq9enXcRUgdL8ds6NChifj8FQsmCstVrA+F6XLzs+Ydj5l3PGbe8Zh5x2Pm\nXTUcs+bmZiPppLEDtgldc89On5T88u0Llu2Uex4J4BMABwHonHt+HcAvke2HQZRaw4YNi7sIRERE\nlCLVWjNRTr7BthYsyzcIXwfg56q6Mvf6NRE5BtlajpNF5HJVLTnKlKoWHfVJRGbX1NT0ra2tDVD0\n6sBj5J2bY9atWzdjx/aUU07B/fffbyQtYHP5Fy9eXHK9afysecdj5h2PmXc8Zt7xmHlXycespsZM\nGFCtNRP5moeuDuu72LYDgM9yz68WBBIAAFVdAWAWssfzQFOFJIqayVGUDj30UGNpFTrhhBNCSZeI\niIi8q9aaiXdyzz0d1n8n91zYpyK/z+cO++SDja0DlIsoVkGDiUwm0/q3qpbY0r/XX389lHSJiIjI\nu2oNJvLDyx4tIh0KR3QSkc4A+iPbnOnVgn3yHbH3dUgzv3yxwXISRSpoMFE4otKECRMClsZ73hzR\niYiIKFoV3cxJRDqJSK/cbNetVPU9ZGet7gHgXNtu9QC2BXB/fo6J3D7/AvAygN4icrotn9MB9Abw\nHoB/mn4fRFEx2czJ5IR4bnCWbCIiouilrmZCRAYDGJx7uUvu+RARuS/3d5Oqjsj93R3ZYVyXIBs4\nFDoHwCsAxonIkbntDgJwOLLNmy4vkv3/AZgJYKKIHAfgLQD7ABgEYC2A01TV3CxgRBEzGUyYbubk\ntuaBE9kRERFFJ3XBBIA+AE61Ldsj9wCygcMIlKGq74nIgQCuBDAQ2YBgBYBxAOpVdVWRfd4Rkb7I\nzpL9UwBHAVgF4E8ArlLV+b7eEVFCJDmYqK+vdxUccCI7IiKi6KQumFBVC4DlctvF2DzMa7H1SwEM\n9Zj/UgCnl92QKIWS3syJwQEREVGyVHSfCSLypkMHc18JYQQT7BdBRESULAwmiCgUYQ0NW4rThHZE\nREQUDgYTRNTKZAAQRzBx8sknR54nERFRNWMwQUStTAYAUQ8NCwAzZ86MPE8iIqJqxmCCqEoV68yc\n9poJIiIiihaDCaIqVawzM4MJIiIi8oLBBBG1uuWWW4yldcQRRxhLi4iIiJKJwQQRtRo3bpyxtPr2\n7WssLSIiIkomBhNEVWjTpk1xFyF0Xbt2jbsIREREFY/BBFEVevHFF+MuQui6desWdxGIiIgqHoMJ\noiq0fv362PJ+5plnIsnH5GzeREREVBx/bYmqUFTNnDKZDESkzbJBgwZFkjeDCSIiovDx15aoCkU1\noZxlWbFd1DOYICIiCl9N3AUgouhFOTt1XPNNfPrpp20m5is2SR8REREFw2CCqApFGUycffbZuP32\n2yPLL6+pqanNxHwMJoiIiMwz0g5ARGpdbnegifyIKD2uvvrquItAREREITHVqHiuiAwotYGI/A7A\nTEP5EVEATv0JMpmM8by2335742kSERFRMpgKJroB+LuIjBbb0C0i0k1EngJwPYDlhvIjogC+/vrr\nosvZFIiIiIi8MBVM/ADAuwAyAF4QkV0AQER+BGAugP8G8DiA/Q3lR0QBXHrppXEXgYiIiCqAkWBC\nVecBOBDA/QDqAPxLRG4DMB1ALYCzVfV/VPULE/kRUTCLFi2KuwhERERUAYyN5qSq6wAMFZF5AMYC\nOBtAE4AjVPUtU/kQUfqE0ReDiIiI4md0aFgRORrARbmXa5CtlRgpIueo6lcm8yKi9GBfDCIiospk\namjYjiJyHYBnAWwD4FcA9gLwPICTAcwWkT4m8iIiIiIiomQw1QH7JQAjAfwLQF9VfVhVm1T1pwAu\nAbA7gH+IyHmG8iMicu3Xv/513EUgIiKqSKaCiYMB3AbgEFVdWLhCVccAOAzASgA3GcqPiMi1U045\nJe4iEBERVSRTfSZ+qapTnFaq6iwR2R/A3YbyIyKfvvii+gZVu//++/Hyyy8DYP8NIiIik4wEE6UC\niYJtPgdwvIn8iMi/5cvjnzvyoosuwtixYyPL74EHHmj9m8EEERGROaaaORFRStgmqY/FmDFjYsu7\nrq4utryJiIgqjZGaCREZ7XJTVdWrTORJRP4kIZiIU2NjY9xFICIiqhim+kxYJdZp7llyfzOYIIpR\ntQcTREREZI6pYOJwh+XbA+gH4DwAzwC401B+ROQTgwkiIiIyxUifCVVtdHhMU9VRAPoDGIxscEFE\nMUpKMJHJZGLLm52wiYiIzIikA7aq/hvANACXRZEfETlLSjAR5wV9fX19bHkTERFVElPNnNz4AMDP\nI8yPiIpISjABbK6d2LRpE66++upI87YHM6ytICIi8i7KYOIgAOsizI+IEq7wAj7qYMJeO8FggoiI\nyDsjzZxEZDeHxx4iMkBEHgDwIwB/M5EfEfmXpJqJUuLsU0FERETumOozsRjAoiKPBQCmA/gVgIUA\nRhjKj4h8SkswwZoCIiKi5DPVzOl+bJ5PolALgM8AvAZgmqquN5QfEfmkWuxUTaZMJsPO0kRERAlm\nJJhQ1dNMpOOGiBwPYACAPgD2A9AZwIOq+msfae0K4EoAAwHsAGAFgKkA6lX1Mxf7X5HbHwB+rKp/\n91oGoqilKZiwLIvBBBERUYJFMjSsYaMADEc2mFjuNxER2RPAbABDka05uQnA+wDOB/APEdmhzP59\nAVwB4Eu/ZSCKQ1KDCfaRICIiSp8oR3My5QIAy5DtgzEAwAyf6dwBYCcA56nqrfmFInJjLo/fAzir\n2I4ishWAyQBez5XjZJ9lIIpcS0tL3EUoKul9JArLl/SyEhERRcVXMCEi033mp6p6pM998wm0Bg9+\nO5KKyB4Ajka24/jtttUZAGcAOFlELlTVr4okcS2A3ZGtHeFEfJQqSa2ZAJJ9kV7Y3CrJ5SQiIoqS\n35qJOp/7JeUq5ojc8/Oq2uY2raquEZGXkQ02DgbwQuF6ETkc2aZQF6jqu2kZGYcoL8nBRJwsy2KQ\nQERE5JGvPhOq2sHno6PpN+DT3rnndx3WL8g99yxcKCJdAdwH4CUA40IpGVHIGEwUx47eRERE3qWx\nz4QJXXPPqx3W55dvb1t+K7KjPh2uAa7IRGS2w6pezc3NaGpq8pt0xVu92ulfRk7sx2zVqlWO21b7\nZ6/w/RcetzVr1jhuR5vx/PSOx8w7HjPveMy8q4Zj1tzcbCSdag0mysm3XWoNGETkOGQ7Wp+rqu/H\nUioiA1gz4d0111wTdxGIiIgSyXcwISKbAFiqelXBsu8D6KOq95soXIjy4WZXh/VdCrcTkW4A7kJ2\nNu/xQTNX1QOKLReR2TU1NX1ra2uDZlHxeIy8yx+zjz76qOw21arY+6+trcXDDz9cdjvajMfHOx4z\n73jMvOMx866Sj1lNjZk6hSDzTAg238HP+wWASQHSjMo7ueeeDuu/k3vO96nYDUAtsh23W0RE8w8A\np+a2+Vtu2W9DKTGRIayZICIiIlOqtZlTfnjZo0WkQ+GITiLSGUB/AOsAvJpb/CmAexzSOgzZ4OMv\nAD4EMC+UEhMZwmCCKLk4nwkRpU1FBxMi0gnAngA2qup7+eWq+p6IPI/s8K/nItuxOq8ewLYA7srP\nMaGqSwGc7pDHfcgGEzeq6t/DeB9EJjGYIEouzmdCRGmTumBCRAYDGJx7uUvu+ZDcRT0ANKnqiNzf\n3QHMB7AEQA9bUucAeAXAOBE5MrfdQQAOR7Z50+VhlJ8obmkLJmbOnIkf/ehHseQ9ZswYbLPNNtiw\nYUMs+RMRESVd6oIJZGedPtW2bI/cA8gGDiNQRq524kAAVwIYCGAQgBXIzh9Rr6rO42cSpVjagon+\n/ftHllddXR0aGhpaX48dOzayvImIiNIoaDAxWER6FLzuAwAicq/D9qqq/xckQ1W1AFgut12M9p3E\nC9cvBTA0YHlOA3BakDSIopS2YCJKjY2NrU1L1q5dG29hqOp8/vnncReBiMizoMFEn9zD7jSH7RVA\noGCCiIJhMFEaZ8KmuPCzR0RpFCSYCHRHn4jiwWCCKJlWrlwZdxGIiDzzHUyo6h9NFoSIopHGzsSZ\nTIZ3bYmIiBIoyKR1RJRCV1xxRdxF8IxDZBIRESUTgwmiKvPCCy/EXQQiIiKqEAwmiKji7LvvvnEX\ngYiIqCowmCCiijNp0qS4i0BERFQVGEwQUcXp169f3EUg8kzEcVokIqLEYjBBVEUWLVoUdxGIiIio\nggSdtI6IUmTmzJlxFyFUmUwm7iIQERFVFQYTRFWk0ies4xCyRERE0fIVTIjIKX4zVNX7/e5LROTW\nSSedhAcffDDuYhAREVU0vzUT9wEovMUpttfF5LdhMEEUk0qvmSg0efLk0IKJfA0Ia0KIiKja+Q0m\nhhZZdhyAnwNoBNAAYCWAXQAcDuAwAE8BmOIzPyIyoJqCiTBHxqmvr2/9mwEFERFVM1/BhKr+sfC1\niAwCMBDAsar6tG3zehE5FsCjAO70VUoiogSqr69nMEFERFXNVAfsywFMKRJIAABUdZqITAVwBYDn\nDOVJRJQqhYEHgxAiIqoEpoKJ/QDMKLPNQgCDDOVHRFTW6aefjrvvvjvuYrRi8ygqhZPWEVEamZq0\nbgOyAUUp+wHYaCg/IvKhmvpMAMCwYcPiLgIREVFFMxVMvABgkIgMF9utFcn6DYCfAvi7ofyIiMqq\ntuCJiIgoaqaaOV2C7KhNtwD4rYjMBPARgJ0B/AjA7gBW5bYjIopEkoKJTZs2xV0EIiIi44wEE6r6\nnogcDOAOAEcB2MO2yd8AnKuq75vIj4jIjSQFE42NjXEXgYiIyDhTNRNQ1YUAjhaR7gD2B9AVwGoA\nb6jqclP5UOXiSDfhS9LFdRSS9H6bm5vjLgIREZFxxoKJvFzgwOCBPCs30o1lWVi7di0AYMyYMVEV\nq6Ik6eI6CtX2fomIiKJmPJgQkV4AegPYTlUnm06fqldhsMFggtxIUjCRhGE/WftHRESmGQsmRKQP\ngLuRbeKUNzm3bgCAvwAY4jSxHRGFb+rUqe2WZTKZGEri3eDBg4uWv5SWlpaQSpNOnOeCiIhMMxJM\niEhPAA0AOiI7olNPZIeCzXsR2dGcjgfAYILaKXcHme3Nzfjzn//cbllaLirvvPNOz8FEFHi3n0xJ\nQu0VEZFXpmomMgC2AHCAqs4XkQwKgglVVRH5B4B+hvKjCvPll1+WXH/FFVdEVBJKqp133tnzPlE0\nc3J7t58XilROkprlERG5ZWrSuiMBPKmq80ts8wGAbxnKj6rMddddF3cRKtLo0aPjLkKo2MxpswUL\nFsRdBCIiqkCmgontASxzkdcWhvIjIo+K3fUsvKteiZJ0pzfumolTTjkl1vypvLg/I0REfpgKJj4G\nsFeZbfYFsNRQflRh+CMavlmzZsVdhMAymQxOOOEE19tvtdVWIZYmXd577724i0BERBXIVDAxHcDP\nRWTvYitFpB+yTaH+aig/IvJow4YNcRchMMuyMGTIENfbH3zwwWW3GTZsWJAiERERVTVTwcS1AJoB\nvCgiZyPXN0JE9s29fhrAGgDXG8qPKgxrJsLXsWPHuIsQuQ4dyn/FTZgwIZS8LctqfQDxf8aT1OSL\niIgqh5HRnFT1HRH5JYA/Abgtt1gAvJl7/hzAcar6gYn8qPJ4udCpq6sLryAVzM2FNZnDOR2IiKga\nGJu0TlWfE5HdAZwK4GAAOwBE8xSuAAAgAElEQVRYDeBVAJNUdZWpvKi6HX744XEXIZWqsWYiaoU1\nEXbFaiY4RwUREaWdsWACAFT1c2QnrbvFZLpUfVQ19mYhlYbBRFYmk0FDQwMA87Vc9fX1noKCKGsv\n2Mwp+fidR0RpZGoG7MMArFXV10tssxuAHqr6ook8qbIxmDCvWps52YMH1gBQUjHgI6I0MlUz0QBA\nReQmVR3hsM1QAKMB8PYotWP/EeWPqnnVWjPhJnjIZDJ49tln8c9//tNInuvXr2+3jMExERFVIpPN\nnNYDuCDXb+IkVf3aYNpU4RhMBFeu/X21BhNuWJaFwYMHY//99zeS1saNG8tut27dOt/pF/u7HJ5T\nyceAk4jSyGQwcQOAbwM4BUCDiByjqh8bTJ8IAH9wnZRrf1+tzZyiVmxW8ZaWlnaf22uvvTZw+mE2\n2WLncCIicsNkMLFRVU8TkfcBWAD+ISKDVPUdg3lARI4HMABAHwD7AegM4EFV/bWPtHYFcCWAgciO\nPrUCwFQA9ar6mW3b7gCOAzAIQG8A3wTwJYA5AMar6pN+3xOxZiIKPKbxaW5ubrfMVJOqsHBoWyIi\ncsP4rUpVvRLAyQC6A3hFROoMZzEKwHBkg4nlfhMRkT0BzEa2L8drAG4C8D6A85ENhHaw7fIbAOMA\n7A1gBoAbkZ3R+1AAT4jIjX7LQu2VuvDlRbE/PG6lhXl8igUTUf8/+P8nIqIwGB0aNk9VHxSRZQCm\nAHhORM4wmPwFAJYBWIhsDcUMn+ncAWAnAOep6q35hbmg4AIAvwdwVsH2rwGoU9XGwkREpDeyc2lc\nICIPqupsn+WpaqyZCObhhx8uuw2PaWm77rpraGk3Nze3a+a0YMECz+l8+OGHpopERERkRCjBBACo\naqOIHALgWQCTkL3rbyLd1uDBb9t5EdkDwNEAFgO43bY6A+AMACeLyIWq+lUu36LNmFR1vog8AmAY\ngDpkazsqUphtqBlMBPO///u/ZbeplGM6cODANq8zmYyRdHfccUcj6RRTrGbi/fe9fyWec845bV7n\nz0PT5+PrrzuO8k1ERNRGaMEEAKjqOyJyEICnARwEIClXM0fknp9X1ZbCFaq6RkReRjbYOBjACy7S\nyw/d0v6KoYIkZYItdsD2p1KCiW233bbN6zS05y9WM+HHtGnT2rzOn5NujoGX//9Pf/pTT+UiM/jd\nRkRpZCqYOBzZu/ztqGpTrt/E+QC2NpRfUHvnnt91WL8A2WCiJ8oEEyLSBcAvkQ2UnjdVwGpTKRe6\nScZjHJ9iNROlxDGSUmE+TU1NkeRJbfEcJaI0MhJM2PsRFFm/HsAYE3kZ0jX3vNphfX759qUSkext\npLsB7AzgDlWd7yZzEXFqCtWrubk5FT/kpsv42WdtBs/CJ598gm222abotuvWrUvFMYpT4fFZvTr7\ncV61alXJ7dIqDe/hyiuvxM9+9rOS2xS+j8JawOHDh5dN380xsF+o2vcpNqStl/SBzZ81cq/wmNkn\nO0zDZzsO/Jx5x2PmXTUcM683upyE2swpxfJ1zeVuE90A4AQALwH4XaglqnDsMxE++zHt1atXTCWp\nPnfddRcGDRrke/8xY5J0L4bCwmZORJRGvoIJEZmO7IX2qaq6LPfaDVXVI/3kaVg+3OzqsL6Lbbt2\nRGQssqM+vQjgZ7naF1dU9QCHNGfX1NT0ra2tdZtUZN5+++02r02X0f4jusMOO2C77bYruu3WW29t\nPP8wxdFkpdjx+cY3vtHm9X777Zeq41iosNO1yfeQyWRK3qEPomtXp6+bLKf3UVtbi7Fjx/ra1+0+\nLS0tJbb0nn5aP1dxqq2txZZbbtluGTnj8fGOx8y7Sj5mNTVm6hT8plKHbDCxTcFrN5Jyuzk/kV5P\nh/XfyT0X7VMhIjcB+C2yw9L+t6quNVu85HnttddCTT9ozUSSZ+uNevKvM85oPxLzmDFj2lXZprn2\nJ6zjaFlWaMHEpEmTQknXhBNPPDGUdJN8XhIRkRm+gglV7VDqdQrkh5c9WkQ6FI7oJCKdAfQHsA7Z\n+SNQsE4A3AbgHAB/A3Csqq6LpsjxctNuO4igwUQlzdYb9ALszDPPbLes2J3tcnejq1VYtRN//OMf\nXW0X9bCsqorHHnvMcf1OO+3kO21T5yWDEiKi5KroPhMi0gnAngA2qup7+eWq+p6IPI/siE3nAri1\nYLd6ANsCuCs/x0QuLQEwAcDpAP4C4DhV/Tr8d5EMX331VfmNyIioAqO33nortLTTLH/M167NVjiW\na2Jk2qxZs9q8vuSSS4yk6xSglwsqd9llF8d1Xi7yg8yJUUk3C4iIKk3qggkRGQxgcO5l/lfuEBG5\nL/d3k6qOyP3dHcB8AEsA9LAldQ6AVwCME5Ejc9sdhOwwt+8CuNy2/WhkA4l1AOYCuKRIZ7m5qjrV\n1xurAvmLgIaGBtTV1bVZVqkdsBctWhR3ERzNn+9q8LGqZFlW60g6UQcTdn/4wx9cb+vnDn650Tzy\n33PF0vZyke9lTgwiIkoPvx2wD/Oboaq+6HffnD4ATrUt2yP3ALKBwwiUkaudOBDAlQAGAhgEYAWA\ncQDqVdU+jubuueetAVzqkOwfATCYcFB44dHYmB1N2OnCwksw8eWXXwYqV5jGjRvnaXs2PaIg/NzB\n37RpU8n1+WCCtQPh42hORJRGfmsmGuC/M3VHn/sBAFTVAmC53HYxNg/zWmz9UgBDXaZ1GoDT3GxL\n3gWpmfjTn/5kujixefLJJwOnYb8g+frrqmmNRyU4nVOmxhm3W7x4sZF0XnnlFSPppEGl1MgSUXXx\nG0xcieSMzEQpZlkWLMvyFEyk6e5dqbIWazZy7rnnGi9DuTvPlAz5c8Evv0FBuf06dPA3voapuTGe\neOIJ19uyozYRUfT8juZkGS4HVan6+vqiP/qlggn7OlPjJIehVDARVbMR3u1Mh/r6ejQ0NGD58uWe\n97UsC926dfOVr5tmTn//+9/bLf/oo49K7jd+/Hhf5Qki7U2x0nSjhIgoL7lXYVRRyl14BLng7dSp\nk+99w+b14iCMiwnWTAQzfvx4nH322ZHkle9L5FWxoWztoyf5beYkIvjxj3/cbvl//vMfb4UkolhY\nltU6Op2pGkOiQgwmKBLr1nmbjsNLcBFGMFFJzSUYTARz1llnRRZMmOR29CS3HbDdLverks45oiQp\nvNnAYILCYCyYyM3DcDyAnyA7JOuWRTZTVT3SVJ6ULKUuBsq1uw7SATuMZk6mmks4XXAtWbLE0/ZB\nhNXBliqDn8+HZVmOn2E3+9rPKfvM44Xr42imx8CGKB14riaDkaswEdkSwLMA6pAdPUnRdhQlLVhO\nKeP2BLVfDBTud/rpp5fcN0gH7DT2mTjllFMiy5PDzVY3p0EO8vzUTJSbIbzUCGL2flL2QMIvkxNr\npr3vBVG14LmaDP6G6WjvYmQne7sawI7IBg4WgG8B+BWApQAeBrCFofwoQk7tsd1MUpV/eL3j7uVu\nZMeOgUYbDpXT+37xxeLTrURZM5HJZIznRclT7kLd7aR15ViW1dqEYv369e4Kh/Llc4vN+YjaW7Fi\nRdxFoCpg6pbuCQDmqGoG2Pzjo6orATwsIq8hO2v0bwHcYChPipG9PXbQ4SWDNHPycrFT7G87P6Pp\nOEnC6CxOF1m8i+NePvAydeGbJOUmVnTbnCl/bEaOHBm4TH64GcLWzXdAkGZVQZtcJOH7girLWWed\nFXcRqAqYCib2BDCx4LUCaO0Vq6rvi8gzyE76xmCiAp1xxhkl13sdq97L0LBuua0Ovfjii32l7ybt\nOPCObXD5/2magwmn8+aOO+4oud/KlSvDKI5x11xzTdltnP5/hefs1KlTfZchaJMLDuNMpj311FNx\nFyE0f/zjH+MuQmCV0ufDVDCxEUBhI9k1yDZ3KrQEwDGG8qOIuP1wT5o0qeT6cnfckvQj+sUXX7R5\n7XUyscILiksuucRUsVyzH2sGExS1cud7/ny69NJLjeV57bXXFs3D6dx1uvC/+eab26Xj50e+XP5E\nFMxpp50WdxECq5Q+H6b6TCxDdgSnvHcBHGLbZn8AqwzlRxHxeyfW3um3XLAQRTMnt+y1KEHuRntt\ngmXf3sTdTQYT5qS1n4llWdi4cWO7ZWEYM2ZM2c99vi/VvHnzyqb3j3/8w1c58nl4ZS+73/PfTf75\nfib5viZs5kREaWSqZuJlAEcVvJ4K4GoRuQfAk8iO8nQUgIcM5UcJV2o0Fze8jOb04IMPlk1v+vTp\nRZcXq2KM4wfdaSZwp+VecGhYcyzLwpNPPol///vfcRfFk2IXtfX19dh+++2N5zV27FijgyK8+uqr\nxtJyw+/572fGb47/T0SVwFQw8RCAb4tID1VdDOBmAMcCGIpsPwkBsBBA9G0+yLcgTY/so7mUG540\nSM3EQw+Vj1EHDhxYdHmxiyy/M/taluV5cj47E4GMPQ37HWkK5vvf/37qggknF1xwQSjpXnfddaGk\nW6gwyB4+fHjZbVevXu0q3VLnYKn2zeecc46r9Iko+awIZg1//fXXQ0k3DkaCCVVtANBQ8HqtiPRH\nNqDYC8BiAE+r6loT+VE0/vSnP/ned+nSpW1ejx071tP+N9xwA7p27Vq0vfL06dPR3NyMhoYG1NXV\nuUrPzQV10M61xfZPQrOFSmhXmiRJ6t9T6Yod6/w539jY2LpsypQpJdNxe25bloVFixa5SifN7Zup\nOnXr1i3uIqRGFLWGP/nJT0JJNw6hzfalqs0AnggrfQrfSSedVHabYj+oO++8M372s5+1WXbTTTeV\nTMd+0ZDvBFlsQqsZM2ZgxowZANpeUBSm5bYDaNjs5airqysZAIURfHz44YfG0yQy4a677iq5/s47\n72y3rNg5/+abbxopT5Sjdd1zzz2R5UUEAKtWsdtqmLyOzFRJ/4/kTh1MqVDsx/ejjz7ylIZlWXju\nuedMFaldMOHUFyEK9uCgsbGx6MWQSePHj8cuu+wCgHdPKdkmTpxYcr2JpkNJPQdOP/30uItAVDH+\n53/+J+4iVHXNpdFgQkS+D2A/ALuiYJ6JAqqqV5nMk+Jz2mmn4b777gucTqkLexOjGZkMHMIeE9pE\nzUTh3d5q+0IjsnNz/pcb/tWyLHz++eeO6001fTNVM1kpY9cTuXXiiScaSyuspqyVfF4aCSZEpBuA\nyQDyvVydvhEVAIOJCnHkkUcaCSZK8RMItLS04KqrrkJDQ0Oo5Sn8MnjrrbeKbv/MM88YLwPFKwn9\nYCpd1D+09fX1Je9slvse8nrx4fT+TF3EVPMdUqKgJk+eHEq6lXxemqqZuBnATwH8HcADAJYD4HiU\nFe7kk0+OuwhFtbS0RD5TsdNIMW+88Uak5aDwsQN2+OKYafz+++/3va/Xz0SaakuJqs2pp54adxFS\nx1Qw8d8AXlHVow2lRzFL84+S6Yu9Ll26FF1eeIyOPjr8jz4vGojC47XGqfAcvPzyy33tF7QMQGXf\n7SRKssLz7YorrvC9byUwFUx0BPCKobQoAeK4M2jKVVdF05Ku8Bj9+Mc/NpJmqYsJPxcNvItOFI7C\n8/Gyyy4rus1BBx3Ueq7mn8P+bl2yZEmo6RNRVuG5PHTo0JLb2uegSvM1VjGmgok5APYwlBZRINdc\nc43R9L744gtYluU48Z0JF110Ucn1fu9iMJggcmfmzJm+93U6z2bNmoVZs2YBKH0ODx482Hfedl7m\nlXFT28kaUYpC0M9Z3H3ZOnToUHL9iBEjIipJPEwFE1cBeFZEfqSq/r+RiRKqvr6+5GyVQS/aSwUT\nxebacIvBBJE7QYKJlpaWstuUukD6xS9+4Svfjz/+uN0yLwNPuKntZDMqikLaP2flgok77rgjopLE\nw9QM2NNF5EQAU0Tkz8jWVBTtkaqq/nu5USRWrFgRdxESKcyRmfIXI8XurpQLJL744ouy6RJReK6+\n+uqy24TRrOHSSy81niYReRd3zUjcTA0NuwWAYwF8A8CpuYf9lqjkljGYSDgvnQnJjCA1CKUuUj77\n7DPf6RKRO6abVrr16aef+t43jXd/KZhvfetbcRchNGFdzBces1Idrm+44YZQ8k8LU82crkU2gHgb\nwCMAPgSHhk2tUne6qbigzYlK1Uw4yX+x3XjjjY7bRDHKVLUZPnw4HnroobiLQRXGsizMnTs3svzc\n1JS8//77EZSEolLJwURYunfv3vp34TmzcOHCNtvZf4dVtapqK0wFEycC+DeAfqq6wVCaFAPLsvDO\nO+/EXYzUMRVMuFVXV4fGxsay2/3rX//yWyRycMghh7R5veeee+K9995rt12PHj2wePHiiEpFaeen\nGZT9YsV0bcOTTz5pND2KV1KbvSa1XIDzb/uDDz5Ycr9MJoMOHTpUTQ2gqWBiewAPMZBIv0obriwt\nvH6ZugkkSslkMoH2p82efvpp7LPPPu2WM5ggt6ZMmeK4rtQoN/Zgwv79veOOOwYqV7lOpZQuhRfG\nSRql69133w2cRtJqAfJD1FuW5TipbSUxFUzMB/BNQ2lRDOL+Mkm7SZMmBdo/6jsz/H+b07t376LL\nOZIWuTV16lTHdaVGuSl3AeX0GXzttddclatjx46utqN0KPw8JGn0pObm5LeK9/sbbVkWJkyYYLg0\nyWMqmLgBwEQR6amqwUNMihxrJIK57777Au3vpc+EU7MaShYGExS2ct8XTU1NRZcfddRRrtJnMFFZ\nkvqdlNRyFXrsscd87Vct11amgonlAJ4DMEtEbgEwG85Dw75oKE+iinHzzTfjzTffdDUsLwOJ+Llp\nJpaGH0iqTmvWrHG1XbFmTuWaxySp+Qy1ldTvpKSWC9gcsLsZ/rmamQomGpAd9lUAjEb7YWEL8VYH\nkc2tt94adxHIg3IXSeeccw7+/e9/R1MYqljlhn51U5NpWZbvi/piwUS55jFJaj5DbTldtEcdANrz\nM9HMN6w+E0kOdJLEVDBxJUoHEJRgX375ZdxFoBJ69uxppIMaheeMM85o0y72N7/5DYYNGxZjiagS\njB49uuR6NxdQ9fX1ri4Wi23DDtiV5aOPPip68R51AGjPLw0X7GkoY5xMzYBtmUiH4sG7R8nGQCL5\nzjnnnDbBhIjwx4cCe+6550quf/vttz2n6dSGu9gFpds+E6V+Q6q12VOU79ttXh9//HEi2/DHOTRs\ntX4+jVPVwA9kmzadbCKtan4AmN23b1+N2je/+U1FtmaJjyp5UHmffPKJfvLJJ662ffPNN9sc33fe\neUd/+MMfxv5/5qOyHnZ+9vOy/b333ttuebHtSqVTqvx+eTk34xLG+/aTV9DPmGktLS3t8hs2bJiv\nMhTu8/TTT/sqT7nP84EHHqiqqvvuu2/k53cU+vbtqwBma8DrV1PNnEYBuNlQWhSxNAzLRpRk9uYg\nSRvznAjwfufVXjNRrg8HBVfpd8rPO++8dssmTpwYQ0nIJJOjOXUxlBZFbNOmTXEXgSjVigUTymZO\nlCCWZXlu4mKf/+KCCy5ol2bcsxdX2sW32/4LdXV1AJI9e3Qxt912W9xF8ITf4+6YCiamADhGRLZW\n1XWG0qSIMJggCsYeTHTo0KHkj1Amk8HcuXMxbdq0sItGFcrrRY6ftvL2mbknT57sKc2FCxd6ztOr\nJI4e5eYCP2gQ1NjY6HmfauV0rD/66CPXaURR2xxk5LW4mQomMgAOBTBVRC5U1XmG0qUIsJkTUTD2\n5iDlaiYsy8KkSZPaBROZTCaRHSQpeZ588snQ0jZ1UXPNNde4zq/Y32llP6/z76nwvQUJguI8Rkn5\nX5UKBOxldDrWZ511VhhF880+8lqamAom/gVgCwB9AfxLRL4G8DGynUoKqaruGSQjETkewAAAfQDs\nB6AzgAdV9dc+0toV2WFtBwLYAcAKAFMB1KvqZw777APAAlCHbNOuJQAeBnBdWmtlWDNBFIyfPhPF\ngg0/TVGo+liWhT//+c+hpW/qM1hqNChTF9ZeRHUh/OGHH7Z57fb9PfLII67SD/M7QlVLfn+Vei9+\nju8rr7zipXiO6ReWuVQZ6+rqUFdXB8uy2jXjK4XNnUozFUx0ALARwAe25fZPpIl6olHIBhFfAlgG\noJefRERkTwCvANgJwDQA/wHwAwDnAxgoIv1V9VPbPgcBmA6gE4DHASwFcASyo1kdKSJHqup6P+WJ\n09dffx13EYhSrVgwsf/++2PWrFmO+9ibQgwYMCCUslHl8Xox+eCDD4aeRzH288IpgPBr2bJlnrYP\nK2hxexFd7s7ziSeeaKxMfhULJtweKz/H9/rrr3dbtDbpvvrqq572y2tsbERjY6Pr8uWDiEWLFvnK\nr1qYmmeih4l0XLoA2SBiIbI1FDN8pnMHsoHEearaOv2wiNyYy+P3AM4qWN4RwCQA2wA4VlWfyi3v\nAOBRAL/M7Xedz/IQUUoVCyauvfZa3Hn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l4Fhgmrufl5g/28wmEPpfnGdm17l7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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 263, "width": 393 } }, "output_type": "display_data" } ], "source": [ "lc_net.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Much better! We no longer see the instrumentally-induced background wiggles." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I can see lots of spacecraft motion jittering the postage stamp image back-and-forth, a common instrumental artifact in K2 data. Let's attempt to mitigate the spacecraft motion with the SFF algorithm, knowing that it might delete some of the astrophysical signal of interest." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1/1 [00:00<00:00, 2.79it/s]\n" ] } ], "source": [ "lc_corr = lc_net.correct(restore_trend=True)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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GSTE0fsJaW1ZOb61tNcYsJQg2jgCeLuwqjvXON8YkrLXpDqd9ovD9qaFqsMhw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\nEewH8duBN6frROQl2Hh+sHGOKZXkfXXM2NL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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 263, "width": 393 } }, "output_type": "display_data" } ], "source": [ "ax = lc_net.plot(color='C0', alpha=0.2, label='With Motion')\n", "ax = lc_corr.plot(ax=ax, color='C3', alpha=0.2, label='Motion Corrected');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The SFF method appears to do virtually nothing at all! There are probably two primary reasons-- Our large aperture has captured all of the FELT + host galaxy flux, so the jitter motion has been subdued to the point where SFF has little or no constraining power. A second effect is that large extended objects compensate for flux loss with equal parts of flux gain: flux from the right of the boundary enters when flux from the left exits. This effect subdues the common jig-saw pattern attributable to flux overflowing the pixel mask.\n", "\n", "It's conceivable---and likely--- that fine tuning the SFF parameters and pixel mask size would result in a higher signal-to-noise ratio lightcurve. We are presently accepting lots of *variance* for the purpose of limiting *bias*." ] } ], "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }