{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to use lightkurve for asteroseismology?\n", "\n", "Asteroseismology is the study of stellar oscillations. To see them, we usually want to transfer from the *time domain* that light curves are in to the *frequency domain*. We can do that with periodograms such as Fourier Transforms or Lomb-Scargle Periodograms. `lightkurve` has built in routines for working with data in the *frequency domain* which are useful for asteroseismologists. \n", "\n", "Below we demonstrate some of the new functionalities in `lightkurve` and how to use them for asteroseismology." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from lightkurve import KeplerTargetPixelFile\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from lightkurve import log\n", "log.setLevel('ERROR')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an example, we can use a giant star from Campaign 5. You can read more about asteroseismology with giants in K2 in Stello et al 2015 [here](https://arxiv.org/pdf/1610.03060.pdf). \n", "\n", "First we'll use `from_archive` to download the Target Pixel File for the target." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "ID = 211416749\n", "tpf = KeplerTargetPixelFile.from_archive(ID, campaign=5, cadence='short')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the target below to see if the aperture is centered. We're plotting in 'log' scale here so that we can see the wings of the PSF." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 277, "width": 354 } }, "output_type": "display_data" } ], "source": [ "tpf.plot(scale='log', aperture_mask=tpf.pipeline_mask)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now create a `LightCurve` using Simple Aperture Photometry with the `to_lightcurve` method. We can then normalize, remove NaN values and remove outliers in one easy line. We can also use the new `fill_gaps` method to fill in any gaps there are in our data using linear interpolation of the nearest neighbours. This creates an almost perfectly sampled time array with no gaps." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "lc = tpf.to_lightcurve()\n", "lc = lc.normalize().remove_nans().remove_outliers().fill_gaps()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot our light curve easily with the `plot` method." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 263, "width": 393 } }, "output_type": "display_data" } ], "source": [ "lc.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at the periodogram for this light curve. You can create a `periodogram` object using `lc.periodogram()`. This can be passed any array of frequencies that the user wants, but by default will create an array of frequency for you. (Frequency values range from 1$\\mu Hz$ to the nyquist frequency of the data, with $N/2$ points, where $N$ is the number of time points in the light curve.)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "p = lc.periodogram()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With this new periodogram object we can now plot the power spectrum of the data. Let's do that now!" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0, 400)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 267, "width": 405 } }, "output_type": "display_data" } ], "source": [ "ax = p.plot(c='k')\n", "\n", "ax.set_xlim(0, 1000)\n", "ax.set_ylim(0, 400)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unfortunately there is some ringing going on...there is a periodicity in the data due to the K2 motion. But we can apply our own Self Flat Fielding (SFF) correction to the light curve to remove this. Below we correct with SFF using the default `correct` function, with `windows=10`. Windows changes the number of 'chunks' we split the light curve into before detrending. (You can read more about SFF in our other tutorials.) " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 10/10 [00:10<00:00, 1.07s/it]\n" ] } ], "source": [ "lc = tpf.to_lightcurve().normalize().remove_nans().remove_outliers()\n", "clc = lc.correct(windows=10).remove_outliers().fill_gaps()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 263, "width": 400 } }, "output_type": "display_data" } ], "source": [ "clc.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our new, corrected lightcurve looks much flatter and has a much smaller CDPP. Let's try plotting the periodogram again." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0, 50)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 267, "width": 395 } }, "output_type": "display_data" } ], "source": [ "p_clean = clc.periodogram()\n", "ax = p_clean.plot(c='k')\n", "\n", "ax.set_xlim(100, 400)\n", "ax.set_ylim(0, 50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is much better! Now we can see the oscillation modes of the target!\n", "\n", "We can even find out what effect our detrending parameters have on our target. Below we change the detrending windows from $w=2\\; ... \\; 10$ and plot the periodogram in each case. We can see different detrending parameters has an effect on each of the modes." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 2/2 [00:10<00:00, 5.37s/it]\n", "100%|██████████| 4/4 [00:09<00:00, 2.45s/it]\n", "100%|██████████| 6/6 [00:10<00:00, 1.68s/it]\n", "100%|██████████| 8/8 [00:10<00:00, 1.29s/it]\n", "100%|██████████| 10/10 [00:10<00:00, 1.02s/it]\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 267, "width": 395 } }, "output_type": "display_data" } ], "source": [ "# Create a window to plot into\n", "fig, ax = plt.subplots(1)\n", "\n", "# Loop over several windows\n", "for windows in np.arange(2, 12, 2):\n", " # Create the light curve\n", " lc = tpf.to_lightcurve().normalize().remove_nans().remove_outliers()\n", " clc = lc.correct(windows=windows).remove_outliers().fill_gaps()\n", " # Create the periodogram\n", " p_clean = clc.periodogram()\n", " # Plot the periodogram\n", " p_clean.plot(ax=ax, alpha=0.4, label='Windows: {}'.format(windows))\n", "\n", "ax.set_xlim(100, 400)\n", "ax.set_ylim(0, 50)\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also easily change the aperture size. If the aperture is too small, increasing the aperture size should allow us to include more of the target flux. If there is a contaminant nearby, decreasing the aperture may increase our singal to noise.\n", "\n", "Below we create a new aperture for the target. In this case we've used an aperture where pixels have a value greater than the 70th percentile." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/ch/miniconda3/lib/python3.6/site-packages/numpy/lib/nanfunctions.py:907: RuntimeWarning: All-NaN slice encountered\n", " result = np.apply_along_axis(_nanmedian1d, axis, a, overwrite_input)\n", "/Users/ch/miniconda3/lib/python3.6/site-packages/ipykernel_launcher.py:1: RuntimeWarning: invalid value encountered in greater\n", " \"\"\"Entry point for launching an IPython kernel.\n" ] } ], "source": [ "aper = np.nanmedian(tpf.flux, axis=0) > np.nanpercentile(np.nanmedian(tpf.flux, axis=0), 70)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot up our new aperture against the pipeline aperture for comparison." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Larger Aperture')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Ra490vEMrJP9XZt6SmXf3egFnddTptFlELNMRHRHrAG+pb3v9Dpq+r3atKVJGCrm/rduNI2KnLtd+DiOvtD4ac+t254g4cKSCfdyrJElSE+7l0Y7G7ToP1vmcD+vzGj+mzAG9KvCOLtdYBXhPt4qZeR+PZtMjI6LnKOuIWGWEzuxxiYjHAa+sb781UobOzHmUqUhmAgf0OOXbIqJbVn09ZWDIUtoWIMzMq4D/qW+Pjoie82ZHxGoRMavX8eUYS45+eY/j/zzOawOD/11L0kSxs1ma/O4FvhMRe9cRAK0Owh9RRmX8HvhWR51PU4LfGsDPIuKg9nASEU+MiEOAS3k0TA7KVymBchpwTkS8q3biAhARj4+I10bEBcC7RnPCeq+t0QHfGalsR5mdI6LbVBD3ACdFxOtbj/NFxPbAf1HmqbsN+LeJvq8ufl+3e9YPRsvIzBuBi+rbuRGxXb3+jIjYD/gej07/MS6ZeS6P/gy/FhEfbW9PRKwdEftExPeBz/ZzLUmSpB5mRMR6y3nNyMz7ebQz82sRsQOUKdgi4vnAzxjdnMs91U7E4+rbT0TEYRGxWr3Ok4AzgSePcIp/piw6vhEwLyJe2d6pGhFPjYh3A38Adu6nrV3sR1mI7gFK1l2eVgbsNWhjVeDciNgWHsmgBwEn1uNfzcybOuocBiwCtgV+HhEvaMvg0yLiaRFxJPBHRp6qZCStHH1gREzvUeZMyhcT20XE51ud5jXHHw+8AXhwnNdvGeTvWpImhJ3N0uT3ceB+4AfAAxFxH3Ah8BTK/Gav6Vz9uY7WfTEllKxPGXl6T0TcEREPAjcBXwaeTu/FSVaI2vZ9gF9Qgu3ngNsj4s56r7cC/0F5BG+0bW2F5IeBs0fRht8DV9e33YLylygjG74B3B8R91Cm3tiZEjD365zrb4Luq9N3KeF0S+DmiLglIuZHxPyOcu8EFlAC+xX1+vdTvqS4hGU7ysfjQErH9XTgw8D/RsTd9Wd1Zz3Wa1SIJElSv3alZOORXq2nud5DyUbbAZdHxP2UbPRTYF3gTQ205+OUEc6rAMdTsvidwI3A3sAb28ouaq+YmfOBPYH/BTandOjeHxG3R8RC4FpKZ/ZTaT7Lt7LwjzJzwSjKt0bm7tLjicq3U37Ov42Iuyk/57mUfPw/wHs7K2TmJZQBMfdQPq/8hPI56HbKFHm/o/x8N2L89/+Vun035Wd7Y83Rx7a14/eUDA8lT98VEXcBf6n39X947HzTYzbg37UkTQg7m6XJ7w7KnLqfo3RQzqSEkZOAHTLzym6VMvM6Sjh7O3A+pcNvDmVesCuAL1A6Or8xwe1frsy8rbbldcAPKSOFZ1NGlVxFGSW8N/CpUZ6yFZLP7+wEHkErKL++y+iGRcDzgI9RPiDMpATL04EdM/PCbiecgPvqPP/ttV3fqe1ZH9i0vtrL/Qr4e0rH+92UDz3XUFZf35tH54obt8x8IDNfCby0tufPwGqUn9V1lI71fSl/j5IkSQNTs9GzePQJrxmUnPbvwA6UQQX9XuMh4CXA4ZTO0aWUBaTPBp5Lyectd3epfzGwNfB+YB5wH2XKhwWUwQJHA7tk5s/6bWtLRDyZR+dRHs3TgQC/ouQ+6D5oYx7wTMogh0WUDtOrKYMTdq8jzZeRmT+iDKj4BGVO54WU+7+3nvPDwDb1Kb4xy8yTgUMoTwAupkzpsSllTu92h1Py629qG5Iy4nuPzJw7nmt3acsK/11L0kSKTL8ckyajOr3CbsDBTQUZjU1EzKWE5o9m5lGDbY0kSZJWFnXKjp8CN2bmZgNuTuMiotXR8OQ6eleSNEU4slmSJEmSpBXrfXX7k4G2QpKkhtnZLEmSJElSgyJiekScGRF7RsSabfufFhFnUtZXeZgyn7MkSSuNVQbdAEmSJEmSVjIBvLq+iIh7KZ+/V6/HlwKHZuZvB9M8SZImhp3NkiRJkiQ1awllYbkXA9sBjwemUxabvhD4XGZeNrjmSZI0MVwgUJIkSZIkSZLUN+dsliRJkiRJkiT1zc5mSZKkBkTEvhHxhYj4eUTcGxEZEaeOof5Xa52MiKf2KDM9It4dEVdExIKIuDMifhgRu45w3tUi4qMRcXVELIyI2yLiWxGxzQh11omIz0XE/IhYFBH/GxFfi4hNRns/kiRJUhPM2cPFaTQkSZIaEBG/Bv4WuB+4GdgaOC0zXz+Kui8D/rPWnQ1skZnXdZQJ4FvAvsDVwNnAOsD+wKrAqzPz+x11ZgH/DTwbuAQ4D3gisB/wELBHZv6qo866wDxgy1r+4nov+wC3Ac/KzOtH9UORJEmS+mTOHi4uEChJktSM91DC73XAbsD5o6kUEesDJwFnABvWut0cQAnA84DnZ+bCWv9E4P8BJ0XEeZl5X1ud91IC8JnA/pm5tNY5A/ge8LWI2K61v/oUJQAfl5nvbWvnO4HPA/8G7Dmae5MkSZIaYM4eIk6jIUmS1IDMPD8zr82xPzb25bp9x3LKva1uj2wF4HrdiykBen1KSAYeGaHx1vr2n9qDbh2Z8XPgb2gL3RGxBvAG4AHgIx3XPwGYD7w4IjYfzY1JkiRJ/TJnDxdHNg9ARNwAzKH8IUmSNIw2A+7NzCevyItGxGmUR80mwlWZ+boJOndXEfGPwCuAV2bmHSW3di03C9gVeJASXjv9iBJe9wBOrvueAjwJuCYzb+hR5zm1Tmt0yLOA1YAfd4zcIDOXRsSPgbcAzwOG/hE/rXzM2ZKklcBmDCBnw4RmbXP2FMrZdjYPxpzVVlttnW222WadQTekl2svG+q/64GKGTMG3YTepk3yhxkm8xzy/uzGLRctGnQTRhSrTN7/K3zq9k8adBN6+sMf/sCCBQsGcemtgR133G5Woye97LeLALaOiEu7Hc/MnRq9IBARm1Ielzs1M7+3nOJPBaYD12fm4i7Hr63bLdv2bVW31/Q4Z1N1pMnEnL0SM2f3YRJnRX9242fOHj9zdk+NZ21zdl91htLk/V/+ym3+Nttss86ll3b939mk8MJp+w26CUNrlQ2eMOgm9JSrrzroJowoHnp40E3oabL/7Fi8ZNAt6GnJtZP7Q/X0tdcddBN6OvfSEwfdhJ522mknLrvssvmDuPaO283i4h83+wFhlxfd1ArCK0RETANOoSxU8s5RVFmzbu/pcby1f60B1JEmE3P2SsycPX7m7D6Ys8fNnD0+g8zZ0HzWNmf3VWco2dksSZKGSpIsZenyC47xnJTH+xofWdHDeyhzuL0kM+9q4Hyt5wLHMvxqRdWRJEnSkGg6a5uzJ7TOpDTJn1eRJElauUTEFsAngZMz84ejrNYa6bBmj+NzOsqtyDqSJEnSwJmzJwdHNkuSpKGzJJsd2dyEiNiXMopiB2DHunvXLkWfBswCDo6Ig3uc7tq6iMkr6zxz1wFLgM1rnbdRVrheAlwOXFTrtc8Bd3XdbhkR7wbeCGwBLAD+B7hxhDpbR8RHgQOATYF7gQt4dKRFr7nmJEmSNOQmW9Y2Zw8XO5slSdJQSWBpw0+XNXS2I4G/pcwPdztlhepu5lNWmN4cuBv4C7CIMsphs1rmcuCyWpbMXBQR8yirWn8NuBk4CZhJCaq71XrntV3nj8BNlEVGjqME3BOAdYD9gTW61PkfSkjeA3gBcAllcZUnAvtRFk+BR1fVliRJ0kqk6axtzn7ElMnZdjZLkiQ14z2UcHod8C5K8FxGZv46Ij4O/CYzL28/FhGXU0ZsPI0yz9wtbYd/SgnBC4FdMvMvtc5/Ad+vZS5uu07W4Pwk4A7g6Zm5oNa5EjiWMmLj0rY690fEb4FnUEZVPDOzDG2JiAeAN1NC/vwx/WQkSZKk8TNnDxE7myVJ0pBpfoHAhsZcrAkcVP/9N3W7fkTMrf++PTOPAMjMuXTXmqNtJuXRwLPajj21blcFzo+Is4F1KaMnkrKoyH7A79rqbFK36wIXRsR/U0LxfsBiShZ8NXAyQJRnCp9Q62wJ/CQiLgK2AfYBHgZmU0Z4DP2oC0mSJHVqOmubs2Fq5WwXCJQkSWrGDpQQfBCwS903u23fvmM83+KO93vU7UfqscOAVwEXAm/tKENEzAKeBTwIfBxYizIq5IXA94B/6awDPIUSnK8DjqcE78OBZ1KC8me61JEkSZImkjl7iDiyWZIkDZUEluSEzNm8dURc2vV45k7LPUfmUcBRABGxO2VEwmmZ+foxNOUgypxvSyjhlnq+NYCNgfsz82PAx9orRcR6wL9TRkm0PJUy99v1mflh4MMddXau/2yvs1XdXpWZ76I8ptheZ98udSRJkrSSaDprm7MfMWVytp3NkiRp6DS9QOBkUEdInEZZQfufMvOutsNr1u09y1R87P61BlBHkiRJK5GVLWubs1csO5slSZKKq0YzsmIiRMR04BvAs4EzKIuKjMdYPhnECqojSZKkqc2cPTF1JiU7myVJ0lBJYEnDGWyQia4G4FMpi4l8C3h95jLPLrZGOqxJd91GSiyvzpyG6kiSJGkl0XTWNmf3VWcouUCgJEnSgETEKsA3gQOA/wD+ITM7FywhMx8A/gzMjoiNupxqi7q9pm3fdZQ56Tav1xlNnavrttdccd3qSJIkSZOKOXtw7GyWJElDZynZ6GsQImImcCZlpMXXgTdk5pIRqpxXt3t2ObZXRxkycxEwD1gdeM5o6gB/BG4CtoyIJ4+yjiRJklYi5uzHMGePkZ3NkiRJK1hdpOS7wD7AV4GDM3PpcqqdWLcfjIi12861GfAOYBFwckedL9XtJyJi1bY6uwD7A38Fzmrtr48Vtq7zfyNiWludfShh+krgZ8u9SUmSJGkFM2cPnnM2S5KkoZIkS5aZaq3/c/YrIo4GXg6sA6xbd+8TEXPrv2/PzCPqv08E9gbuBnYDHqiP4N0JXA78Cjg/My94pI2Z8yLis8B7gVsiIigLiQQl0x2WmfM7mnU68CpgX+CuOm8dQGt7SGbe21Hns8BLa537I2IGsBSYASwE3jiKwC5JkqQh1HTWNmc/xpTI2XY2S5KkoTNJE9hBwAYd+2bX/QA3Aq0Q3Hp0bq36ank88OL6SuCCjvPdULetEFvWcCmZbrPOBmVmRsRNbXWmAa256mYAT+xyHw8Bf6n/XoUSspfyaBDesEsdSZIkrSQmYdY2Zw8Rp9GQJElqxmspC35MA55X952WmVFfm7WVfTnl0bqHgF1aZYDVgF/WMle1n7w+xncsZVTGFpk5IzNnAhtR5oA7PCKe1VFnV8oIjT8CG2TmKpm5am3nncCx9bztDqCM0pgHzKl1VgOeRQncJ0XE48b4s5EkSZLGy5w9ROxsliRJQ6UMMchGX008KJiZ52fmtXU+tuXZF1gfOD0zL2k7x0LgyPr2bR113gjMAk5of4wvM+8CPlXfvrWjTuv9J2u5Vp35wBfr+Q7uqNO67pG1Pa06FwNn1Hbvu9w7lCRJ0tBpOmubsx9jSuRsO5slSZJWvD3q9twuxy4EHgR2rQucjKbOjzrKjKtOvd6u9fo/H8N1JEmSpMnAnD1gztksSZKGzpJm1wds2ToiLu12IDN3avhaW9XtNV2utTgibgCeBmwO/GEUdW6JiAeATSJi9cx8MCLWADYG7s/MW7q04dq63bJt31Mpc85dn5mLl63StY4kSZJWIhOQtc3ZUyhn29ksSZKGStL8oiUT03c9ojXr9p4ex1v72xc1GU2dNWq5ByfwGp11JEmStJJoOmubs/tq11Cys1mSJKm4agJGVoxX1O1Y8vl46qyoa0iSJGnqMmdP3DUmHTubJUnS0FnySBYbWq2RC2v2OD6no1zr3+vVOneMUOfeUV6j2+iK8bRLkiRJK5Ehz9rm7AFzgUBJkqQV7+q6XWZOtohYBXgysBi4fpR1NqI82ndzZj4IkJkPAH8GZtfjnbao2/a56a4DlgCb13aMpo4kSZI0WZizB8zOZkmSNFQyYWnDr1zxD6udV7d7djn2XGB1YF5mLhplnb06yoyrTr3evHr954zhOpIkSVoJNJ21zdnFVMrZdjZLkqQhEyxp+MWKf1TwTOB24ICI2PmRO4tYFfhEffuljjonA4uAQyNis7Y6awMfqG9P7KjTev/BWq5VZzPgHfV8J3fUaV33E7U9rTq7APsDfwXOWs79SZL0d2fPAAAgAElEQVQkaSiZs9vqmLPHwTmbJUmSGhARrwBeUd9uWLfPioi59d+3Z+YRAJl5b0QcQgnDF0TE6cCdwMuBrer+M9rPn5k3RMT7gOOBSyLiDOAhYF9gE+AzmfnLjjrzIuKzwHuBKyLiTGAmJcyuAxyWmfM7buV04FX1vJdHxNnAurXOdOCQzLwXSZIkaQUwZw8XO5slSdJQSZpftKShp/t2AA7q2Ld5fQHcCBzxyDUzvxcRuwEfBF4NrEqZy+29wPGZyz50mJlfiIj59TwHUp5SuxI4MjNP6daozDw8Iq4ADgXeAiwFLgOOycxzupTPiHgt5TG/NwKHAQuBC4FPZOa85f8oJEmSNIyaztrm7MeUnxI522k0JEmSGpCZRwEvBX5CWTBkIXADZfTErpm5Wbdqbdv214iXqq+lbdtRNbGjXu+CmYsz87jM3C4zV8vMtTNz75UlAEuSJGl4ZOZRmRn0ztqv7VLnF5RpM34JLACeAhwMHBYR03tc52zgGOBSyiKC2wBvj4jOju72OqcAJwC/p8wZsgNwRES8tEf5lT5n29ksSZKGztKMRl9NiIijgXOAHYFzgc9TRjbsA/wiIl7fUX4fyiiG5wLfBb5IefTuOMojdt2ucShwNrAtcCpwEvAEYG5EHNujzrHAXGCjWv5UYDvg7Ho+SZIk6RGTLWeDWXuYOI2GJEkaKpNxGo2I2JDyyN2twPaZeVvbsedRVpX+GCV8EhFzKGF0CbB7Zl5S93+olt03Ig7IzNPbzrMZcCxlzrmdW3PARcTHgIuBwyPirPb55CJiV+Bw4I/ALpl5V93fGrFxbESc02U+OUmSJE1Bk3EaDbP2cBm6kc0RcXRE/HdE/CkiFkTEnRFxeUR8JCLW7Si7RUS8PyLOq+UfiohbI+L79Y9xpOvMjogPRcRvIuL+iLgvIn4fEV+OiBkTe5eSJGnIbErJVb9qD78AmXk+cB+wftvufev701vht5ZdCBxZ376t4xpvBGYBJ7QH1hpqP1XfvrWjTuv9J1vht9aZTxndMYvyOKEEmLUlSdKkZNYeIkPX2Qy8B1iDMkfL54HTKPOoHEVZ/fGJbWU/Dnwa2AD4IfAZ4BfAS4DzIuKd3S5Qv824nPKtyD3Al4B/B/5A+YOd1ewtSZKk0QuWMK3RF/2P3riWsmL1MyJivce0NuK5wOOAn7bt3qNuz+1yrguBB4FdI6I9c4xU50cdZfqpo6nNrC1J0pTWbNZuIGeDWXuoDOM0GnPqNxGPERGfBD4A/Avw9rr7XODozLy8o+xulAB9TER8OzNvaTs2gzKXy6bAPpn5nx11pzP6hXgkSdLw2DoiLu12IDN3GqliZt4ZEe8HPgtcGRHfA+6gLETyckru+D9tVbaq22u6nGtxRNwAPI2ywvYfRlHnloh4ANgkIlbPzAcjYg1gY+D+9qzT5tq63XKke9OUY9aWJElNG3fOrmXM2kNk6EY2dwu/1bfqdou2snM7w2/d/zPgAsrE4Lt2HH4DZeXIz3eG31p3SWY2MeWMJEkah6T5BQKb+D/2zPwc8CrKl/mHAP8M7Af8CZjb8cjfmnV7T4/TtfavNY46a3Zsx3INTXFmbUmSprams3ZT/6du1h4ewziyuZeX1e0Voyz/cN0u7tj/D3U7tz7itxflD+Mm4NzMvKOPNkqSpMnrqtGMrOglIv6JMp/b8cAJwF+ArYF/BU6LiB0y859Ge7q6HUs+H0+d8ZTX1GTWliRJ49VXzgaz9jAZ2s7miDgCmE35JmFn4O8p4ffTo6i7KfB8yhwtF3Yc3gVYSAm+/8pjf0YPRMQ7M/Nro2xj10cEKP9jkCRJ49TkCtlNiIjdgaOB72bme9sOXRYRr6Q8jnd4RJyYmdez7MiITnPqtn2kxD3AerVOtw65Vp17O+r2usbyRmNoCpvsWducLUnSxDFrm7X7MXTTaLQ5AvgI8G5K+D0XeFFm/nWkSnXy79MoC48c1b5aZD02B5gBHAMcR5lPbl3KqpQJfCUiptzk3pIkTRYJLMlpjb4aGG7w0ro9f5n2Zj4IXETJXU+vu6+u22XmcIuIVYAnU0aEXt92aKQ6G1EWdbu5Xo/MfAD4MzC7Hu/Umg5hmXnpJMzakiRNSU1n7YaG9Zq1h8jQjmzOzA0BImIDylxwnwYuj4iXZuZl3erUBUe+ATwbOAM4tqPI9LbtWR3D70+OiNmU4frvB84bRRu7PiIQEZdee/n8HV+8+huWd4qBiVUm75/GtLV6fWk0OeR99w+6Cb2tOXvQLRjRoo0n71RGOW1yfbPbafqiJYNuQk+rsPmgmzCiXH3W8gsNyJ5b//Ogm9DTdfP/POgmTDatP6T1exxv7X+obs8DXgfsCXyzo+xzgdWBCzNzUdv+8ygZZk/glx119mor0+48yhy5ewInj7KONOmztjl7Ypiz+2DOHjdz9viZs8fPnD10zNpDZJhHNgOQmbdm5neBF1FGRXy9W7kafk+lTB7+LeD1nYuP1G8nWn+Y3+1ymta+ZzTQdEmSNC7BUqY1+qL/RwV/XrdviYiNH9PaiL0owXUhMK/uPhO4HTggInZuK7sq8In69ksd1zgZWAQcWue6bdVZG/hAfXtiR53W+w/Wcq06mwHvqOfrDMbSI8zakiRNNc1m7QZyNpi1h8rk/Vp9jDLzxoi4EtghItbLzNtbx+oQ+f+ghN//AA7MzF5fT14NbAfc3eVY6zHA1ZpruSRJWgmcCfwUeAHwh4j4LmXRkm0oj/0F8M+txc8y896IOKTWuyAiTgfuBF4ObFX3n9F+gcy8ISLeRxn5eUlEnEHpuNsX2AT4TGb+sqPOvIj4LPBe4IqIOBOYCewPrAMclpnzm/5haOVj1pYkSQNk1h4iK01nc/WEun0k3EbETMroin0oIzEOzsylI5zjvykBeFvgBx3Htq3b+U00VpIkjV3S/KIl/c4ll5lLI2JvygiGA4BXUh7PuxP4IXB8Zv64o873ImI34IPAq4FVgesoYfX4zlGhtc4XImI+ZT7dAylPqV0JHJmZp/Ro2+ERcQVwKPAWYClwGXBMZp7T561rajFrS5K0kms6azcxZ7NZe7gMVWdzRGwN3J2Zf+nYPw34OPB4YF5rIZK6CMl3gL2BrwJvWU74Bfh3yh/IeyLitMy8uZ5rVeCTtczpDd2SJEkao9aiJU2fs+9zZD4MfK6+RlvnF5ScMpbrnA2cPcY6pwBdA7LUYtaWJElNZ+2GFgg0aw+Roepspky4fUxEXAj8EbgD2ADYDdicMoT+kLbyJ1L+qG6nrBD54Yhlvp25IDMvaL3JzKsi4v3AZ4DfRMT3gAeAF1NWpPwVcHTjdyZJkiQNlllbkiRJfRm2zuafAl+mTPz9t8BalHB6DWXl6+Mz88628k+u2/WAD49w3gva32TmZyPiauBwytwss4Dr6zmOzcwFfd+JJEkap2Bpw9NoNLRwiTTszNqSJE15TWdtc/ZUM1SdzZn5O8r8LKMtv3sf1/oBy84jJ0mSJK2UzNqSJEnqV7MTHkqSJE2wsmjJtEZfTc0lBxARz4mIsyLilohYVLc/rouadJbdNSJ+GBF3RsSDEXFFRLw7IqaPcP6XRsQFEXFPRNwfEb+KiIOW06aDIuKiWv6eWv+lTdyvJEmSVh5NZ+0mczaYtYfBUI1sliRJIptfILCpFBwRR1IWUrsdOAe4hTLFwNOB3SmrZbfK7gOcBSwEzqCspv0y4DjKNAb7dTn/ocAXKHPpngo8RJmGYG5EbJeZR3SpcyxluoKbgZOAmZRVvM+OiMMy84QGbl2SJEkrg6azdoO9zWbt4WBnsyRJUgMiYj9K+P0p8KrMvK/j+Iy2f8+hhNElwO6ZeUnd/yHgPGDfiDggM09vq7MZcCwlKO+cmfPr/o8BFwOHR8RZmfnLtjq7UsLvH4FdMvOuuv8Y4FLg2Ig4p3UuSZIkaTIyaw8Pp9GQJElDJQmWMq3RV/a5cElETAOOBh4E/qEz/AJk5sNtb/cF1gdOb4XfWmYhcGR9+7aOU7yRspDaCe2BtYbaT9W3b+2o03r/yVb4rXXmA1+s5zt4+XcoSZKkqaDprN1vzgaz9rCxs1mSJKl/uwJPpjy6d1dEvCQi3h8R74qIZ3Upv0fdntvl2IWUIL1rRMwaZZ0fdZTpp44kSZI0mZi1h4jTaEiSpKGzJPsfIdHF1hFxabcDmbnTcuruUre3ApcB27UfjIgLgX0z869111Z1e02Xay2OiBuApwGbA38YRZ1bIuIBYJOIWD0zH4yINYCNgfsz85Yubb62brdczr1JkiRpCpmArN1Pzgaz9lBxZLMkSVL/Hl+3bwVWA14APA7YFvgv4LnAt9vKr1m39/Q4X2v/WuOos2bHdizXkCRJkiYbs/YQcWSzJEkaKgksafj78rpI9lWjHFnRzfS6Dcqoit/U97+PiFdSRkjsFhHPal9UZASt4SRjWb97PHXGU16SJEkrqaazdgM5G8zaQ8WRzZIkacgES3Naoy/6X7iktSDI9W3hF4DMXEAZcQHwjLrtHBnRaU5HubHUuXeU5Zc3GkOSJElTTrNZu4GcDWbtoWJnsyRJUv+urtu7exxvBeTVOsovM4dbRKxCWQBlMXB9l2t0q7MRsAZwc2Y+CJCZDwB/BmbX4522qNtl5qWTJEmSJhGz9hCxs1mSJA2V1qN9Tb4aeLbtQkpg3SIiZnY5vm3dzq/b8+p2zy5lnwusDszLzEVt+0eqs1dHmX7qSJIkaYpqOms3NIeEWXuI2NksSZLUp8y8HTiD8rjch9uPRcQLgRdTHqE7t+4+E7gdOCAidm4ruyrwifr2Sx2XORlYBBwaEZu11Vkb+EB9e2JHndb7D9ZyrTqbAe+o5zt5VDcpSZIkDYBZe7i4QKAkSRo6S7KRud+a9l7gmZSw+VzgImBT4JXAEuCQzLwbIDPvjYhDKEH4gog4HbgTeDmwVd1/RvvJM/OGiHgfcDxwSUScATwE7AtsAnymc0GUzJwXEZ+tbbsiIs4EZgL7A+sAh2Xm/MZ/EpIkSRpaZm2zdj/sbJYkSUMlCZY2/HBWNrBwSWbeFhHPBI6khN6/A+4DfgD8a2b+T0f570XEbsAHgVcDqwLXUcLq8Zm5zFOHmfmFiJgPHAEcSHlK7UrgyMw8pUe7Do+IK4BDgbcAS4HLgGMy85y+b1ySJEkrjaazdhM5G8zaw8TOZkmSpIZk5p2UAPveUZb/BbD3GK9xNnD2GOucAnQNyJIkSdIwMGsPBzubJUnS0FmSLjshSZIkTQSztvrhX48kSZIkSZIkqW+ObJYkSUMlgaUNzf3Wfk5JkiRpqms6a5uzpx47myVJ0nDJaP7Rvsm54rYkSZK0YjWdtc3ZU47TaEiSJEmSJEmS+ubIZkmSNFQSWNLw9+U+3idJkiQ1n7XN2VOPI5slSZIkSZIkSX1zZLMkSRo6S537TZIkSZoQZm31w5HNkiRJkiRJkqS+ObJZkiQNlSQmYM5mR29IkiRJTWdtc/bU48hmSZI0dJbmtEZfEyUi3hARWV9v7lHmpRFxQUTcExH3R8SvIuKg5Zz3oIi4qJa/p9Z/6Qjlp0fEuyPiiohYEBF3RsQPI2LXfu9RkiRJKxdztjm7H3Y2S5IkTYCIeCLwBeD+EcocCpwNbAucCpwEPAGYGxHH9qhzLDAX2KiWPxXYDji7nq+zfACnA8cBM4ETgO8CzwUujIh9xneHkiRJ0opnzp7cnEZDkiQNlQSWNPw4XjZ6tkeC58nAHcB3gCO6lNkMOBa4E9g5M+fX/R8DLgYOj4izMvOXbXV2BQ4H/gjskpl31f3HAJcCx0bEOa1zVQcA+wLzgOdn5sJa50Tg/wEnRcR5mXlfU/cvSZKk4dR01jZnT72c7chmSZKk5r0T2AM4GHigR5k3ArOAE9pDaw22n6pv39pRp/X+k60AXOvMB75Yz3dwR5231e2RrQBc61wMnAGsTwnJkiRJ0mRnzp7k7GyWJElDJiZgzubmRm9ExDbAp4HPZ+aFIxTdo27P7XLsRx1lxlUnImYBuwIPAj8fw3UkSZI0JTWbtc3ZUy9nO42GJEkaKhM4jcbWEXFp1+OZO43mPBGxCvAN4CbgA8spvlXdXtPlerdExAPAJhGxemY+GBFrABsD92fmLV3Od23dbtm276nAdOD6zFw8yjqSpJXIO1+7A0tWmzHoZnS1/ZPWAuCKm+4ecEu62/5Ja0HCb2+8a/mFB2DagocAOP7UywbcEq1MJmgaDXP2FGJn84DEjBlMe8KGg25GT4tvuHHQTegp1lh90E0YUa4zc9BN6GnBk9YcdBNGdPv2kzMEAzw8u+mZppq16u3Ndrw1ae2rJ/f/1az6555rSgzc0jVWHXQTesppPhzVw4eBpwN/n5kLllO29R/le3ocvwdYo5Z7cJTlAdYa4zU660hDzZw9fubs8ZvMOXvx7Jk87SmT8z/za82aCQHbrL72oJvS1VozZ0LCNquuM+imdDX9IbjiT3ezYPPJ2T5z9viYs3syZw+Jyd0DIEmS1EV5JK9xV412ZEU3EfEMyiiLz7QvNtKH1rdIY/22ayzlx3sNSdKQufSuewfdhGW8eMP1ALjk3snXNoC91ivtu+yOydm+XR43Z9BN0EpqArK2OXsK8esSSZKkPrU91ncN8KFRVmuNdug1HK71CbL1CXd55buNrhjtNXqNyJAkSZIGxpw9fOxsliRJQyUzWJLTGn1l9j0VzWzKfGzbAAsjIlsv4CO1zEl13+fq+6vrdpl53CJiI8qjfTdn5oPlvvMB4M/A7Hq80xZ12z433XXAEmDzGtRHU0eSJElTVNNZ25w99XK202hIkqShs7ThBQIbsAj4ao9jO1Lml/t/lODbevTvPODZwJ5t+1r2aivT7jzgDbXOycurk5mLImIe8Jz6On+U15EkSdIUNcmytjl7yDiyWZIkqU+ZuSAz39ztBfxnLXZK3XdGfX8yJTwfGhGbtc4VEWvz6ArbJ3ZcqvX+g7Vcq85mwDvq+TrD8Zfq9hMRsWpbnV2A/YG/AmeN8ZYlSZKkCWfOHj6ObJYkSUMlgSUNL1oyiFU7MvOGiHgfcDxwSUScATwE7AtsQpcFUDJzXkR8FngvcEVEnAnMpITZdYDDMnN+x6VOB15Vz3t5RJwNrFvrTAcOyczJufKRJEmSVqims7Y5e+rlbDubJUmSBiQzvxAR84EjgAMpT51dCRyZmaf0qHN4RFwBHAq8BVgKXAYck5nndCmfEfFaYB7wRuAwYCFwIfCJzJzX+I1JkiRJA2TOHhw7myVJ0pAJlva/0Mgy55womXkUcNQIx88Gzh7jOU8BuobkHuUXA8fVlyRJktRD01nbnD3VOGezJEmSJEmSJKlvjmyWJElDJYElDX9fPoi55CRJkqTJpumsbc6eeuxsliRJQ6f5aTQkSZIkgVlb/XEaDUmSJEmSJElS3xzZLEmShkoSLG18Gg1Hb0iSJElNZ21z9tTjyGZJkiRJkiRJUt8c2SxJkobOEueRkyRJkiaEWVv9sLNZkiQNlczmFy1Jl8mWJEmSGs/a5uypx2k0JEmSJEmSJEl9c2SzJEkaOkvT78slSZKkiWDWVj/865EkSZIkSZIk9c2RzZIkaagkwRIanrO54fNJkiRJw6jprG3OnnrsbJYkSUOn6QUCJUmSJBVmbfXDaTQkSZIkSZIkSX1zZLMkSRo6LloiSZIkTQyztvrhX48kSZIkSZIkqW+ObJYkSUMlgaWNLxAoSZIkqemsbc6eehzZLEmSJEmSJEnqmyObJUnSkAmWNL5CtituS5IkSc1nbXP2VGNnsyRJGiqZzS9akj7fJ0mSJDWetc3ZU4/TaEiSJEmSJEmS+ubIZkmSNHSWNj6NhiRJkiQwa6s/jmyWJEmSJEmSJPXNkc2SJGmoJLC04YVGnEpOkiRJaj5rm7OnHjubJUnSkIkJeLTPRwUlSZKk5rO2OXuqGbppNCLi6Ij474j4U0QsiIg7I+LyiPhIRKzbUXaLiHh/RJxXyz8UEbdGxPcj4nmjvN6siPhdRGRE3DwxdyVJkiQNnllbkiRJ/RjGkc3vAS4DfgLcBqwB/B1wFPCWiPi7zPxTLftxYH/gSuCHwJ3AVsDLgZdHxLsy8/jlXO9TwKZN34QkSRq/pTl035dLw8KsLUnSFGfWVj+GsbN5TmYu7NwZEZ8EPgD8C/D2uvtc4OjMvLyj7G6UAH1MRHw7M2/pdqGI2J0SuN8OfKmxO5AkSZImJ7O2JEmSxm3ovqroFn6rb9XtFm1l53aG37r/Z8AFwExg124ni4g5wFzgvzPzxD6aLEmSGpTA0oxGXy5cIhVmbUmSprams7Y5e+oZxpHNvbysbq8YZfmH63Zxj+PHA2sDbxpvgyLi0h6Hth7vOaWV0eEv3gqAhetMzu+/dlp7DjkNLrn33kE3pafpm8DHf33doJshrTBNrpDdhDqX7SuBlwDbARsDDwG/BU4GTs7MpV3q7QocSZmmYFXgOuBrwBcyc0mPa70UOAJ4OjAd+D3wb5l5ygjtOwh4B/A3wBLgcuDYzDxnPPerKWlSZW1ztiaTd75uRxbPmTXoZvT0vK0ez8yZ01hv1sxBN2UZs1eZDsBe66034JZ0N3t6ad+LNp6c7Vtt2jTWXePxg25GT9MfeJjjz/jNoJuhcTBrm7X7MbSdzRFxBDAbWBPYGfh7Svj99Cjqbgo8H3gQuLDL8VcCBwFvzsybGmy2pB6232QtlkzSjL7erJkQsPOcOYNuSk+XL5y8HeHSFLEfZRqAW4DzgZuADYBXAV8B9oqI/TLzkcEdEbEPcBawEDiDMt/ty4DjgGfXcz5GRBwKfAG4AziVErL3BeZGxHaZeUSXOscChwM3AydRRpseAJwdEYdl5glN/AC0cjFrS2Oz/SZrDboJPc2aMc2RhSuxWTOmsf0TJ+ff3++v+uugm6CVh1l7iAxtZzPlW4YN2t6fC/xjZo74X7OImAWcBswC/ikz7+o4vgHw78CPMvOr/TQwM3fq0YZLc/HDOy69dRL/hzcnbxxZst7k7fADiMXLfJk2adz91BmDbkJXD82ZxtKZcNH0OwfdlK72nr4h06Yt5cppfxl0U7raPtbj4ccv5v5nLhh0U7pauspqg27CiNaZ/rhBN6GnVW+bnL9TgEEOdsj6SF7T5+zTNZRF0X7QPqoiIj4AXAS8mhKGz6r751DC6BJg98y8pO7/EHAesG9EHJCZp7edazPgWEpQ3jkz59f9HwMuBg6PiLMy85dtdXalhN8/Aru0ck9EHANcChwbEee0ziW1mdRZ25w9MczZ45OrlCx72e2T88v/F82ZSU6HHy6efFm2lbN/Nu3mQTelq+fFJixdOo0fPDz5fnYAL5mxIQAXPTD5/vZ2WmcOSx43gwVPmpxZ25zdW9NZu4GcDWbtoTI5n1kfhczcMMtf7IaUP6jNgcsjYsdedSJiOvANyjcYZ1D+iDqdBMwADmm80ZIkaaWUmedl5tmdj+9l5l+A1ny0u7cd2hdYHzi9FX5r+YWUR/0A3tZxmTdSOvBOaA+sNdR+qr59a0ed1vtPtnf61fpfrOc7ePl3qKnGrC1JkiYLs/ZwGdrO5pbMvDUzvwu8CFgX+Hq3cjX8nkoZJv8t4PXtw+trmQMpQ+rflZl/ntCGS5KkcWt6gcAJ1m3u2j3q9twu5S+kTD+wax0lOpo6P+oo008d6RFmbUmSpp4hytlg1p50hr6zuSUzbwSuBJ4WEY+ZvT8iVgG+SZkz5T+Af8jMbouVtEZqnBIR2f6q+zdu2zc5J0WSJEnjtXVEXNrtNd4T1gxyYH3bHkK3qttrOuvUjHIDZbqzzUdZ5xbgAWCTiFi9XnsNyuIp99fjna6t2y1HdTOa0szakiSpD43nbDBrT1bDPGdzN0+o20dWlIyImZTRFftQRmIc3G2FyuqXlIVQunkT5ZuPb9b3i/purSRJGpcVNEqiCZ8GtgV+mJn/1bZ/zbq9p0e91v72DrfR1FmjlntwnNeQRmLWliRpCjBr96xj1h6FoepsjoitgbvrnCzt+6cBHwceD8xrm5B7FvAdYG/gq8BbRgi/ZOYZlPnlul37TcBdmfnmJu5FkiSNz/9n787jJCvre49/ft0z0zMsMywDDoIIKIJG2URFXBA3QDBEvZqYmyhcYhYxGuOSiNu4kCuuV3KTGI0KGnOjYlwTjcqiiFscwBEJCCqL7PuwDDAz/bt/nGpteqqX6fNUnVNdn/frVa+arjrnPL9iepjvPP07z5OUD8CdtspLptt0bD4i4pVUG4ZcAvzhlp7+wNJ6ds58jtcCZdaWJEmls3YvcjaYtdtsoCabgSOB90TEt6l2eryFapfsw6ha36/ngZuNfIgq/N4MXAO8JWKzPzDnZOY5vS1bkiQNk4g4Efgg1bIDz8jMW6ccMtHpsILulk85buLXKzvn3DLDOesmHT/TGLN1Y2j4mLUlSVLrmbXbbdAmm78JfJhqh+v9qVrR76ZaT+WTwKlTvsH27DyvBN4yw3XPKV6pJEnqmXHae2tfRPwF8AHgIqrwe2OXwy4FDqZaw+0Ba9V11p7bk2qTk19MOWdl55zvTTlnF6rb+n6VmfcAZObdEXEN1Tq4u3RZS27vzvNm69JpaJm1JUmSWdusXUuRDQIj4qkRcUCJa80kMy/KzBMz84DMXJmZizJzRWY+LjNXT/1JRmY+LTNjlsfqOY4dmblbTz6YJElaECLir6jC74XA4dOEX4CzOs9HdnnvqcBWVMsVTF63dqZzjppyTJ1z1DJmbUmSJLP2oCgy2QycDfxxoWtJkiRNKwnGs+wjC3RvRMSbqTYpWUPVZXHzDIefQbX0wO9FxMGTrrEUeGfny3+Ycs7HqTZNe0VE7DHpnO2BkzpffmjKORNfv7Fz3MQ5ewAndq738Zk/mVrArC1JkvqidNYukbPBrD1ISi2jcTOwvtC1JEmSppc92CG75rYdEfFS4O3AJuBc4HcdiW8AACAASURBVJVd1q69IjNPA8jMdRHxMqogfE5E/CtwK/DbwD6d1x+wkVpm/jIiXgecCvwoIj4N3A/8D2A34H2Z+b0p53w3It4P/CWwNiLOAJYAvwvsAPx5Zl5R79OrD8zakiSpP0pn7QLb45m1B0upyeZzgEMLXUuSJGnQTKxdOwr8xTTHfAs4beKLzPxCRBwGvBF4AbAUuJwqrJ6amZtF88z824i4Angt8BKqu9QuBt6Umad3GzQzXxMRa4FXUHXHjgPnA+/JzK9s2cdUQ87BrC1JkoaXWXuAlJpsfhPwg4h4B/D2zNxQ6LqSJEmbKd7ZXFNnXdrV8zjvPOA5W3jOl4Evb+E5pwNdA7IGgllbkiT1jVnbrF1HqcnmN1DtAnkScEJE/Bi4ns2b5TMzTyg0piRJkjQMzNqSJEkaCKUmm4+b9OtVnUc3CRiAJUnSvCXluy0KLCUn9dJxk35t1pYkST1TOmubs4dPqcnmPWc/RJIkqYxs2a19Uo+ZtSVJUt+YtVVHkcnmzLyyxHUkSZIkPZBZW5IkSYOiVGezJElSnwTjlO62sHtDkiRJKp+1zdnDZqTkxSLiuRHxrxHx44i4fNLrj4yI10fEriXHkyRJkoaFWVuSJEltV6SzOSICOA34g85L64Flkw65Dfgbqh9nnFJiTEmSNJzcIFDDxqwtSZL6xQ0CVVepzuaXA38IfBzYAXjv5Dcz83rgPODoQuNJkiRJw8KsLUmSpIFQas3mE4AfAy/LzIyIbj+4uAw4otB4kiRpWGUPdsi25ULtZtaWJEn9UTprm7OHTqnJ5n2Af8zMmb6FbgR2KjSeJEkaYqWX0ZBazqwtSZL6xqytOkoto7ERWDrLMbsCdxUaT5IkSRoWZm1JkiQNhFKdzRcDT4uI6NZxERFLgacDFxQaT5IkDamk/DIa3t2nljNrS5Kkviidtc3Zw6dUZ/MngX2BD0TEA64ZEaPA+4EHU+2iLUmSJGnuzNqSJEkaCKU6m/8R+G3glcALgTsBIuIM4BCq8PvFzPxUofEkSdLQih6sI+e6dGo1s7YkSeqT0lnbnD1sinQ2Z+Ym4Bjg7cAS4BFU303PB7YC3kEVjCVJkmrLLPuQ2sysLUmS+smcrTpKdTaTmRuB1RHxNqoAvCNwB3BJJyBLkiRJmgeztiRJkgZBscnmCZ1NSy4tfV1JkiSoNhkZL3w7nk0XGhRmbUmS1Euls7Y5e/gUn2yOiKcABwIrqLotLsjMc0uPI0mSJA0bs7YkSZLarNhkc0Q8CfgY8PCJl+j8ACMiLgNOyMzzSo0nSZKGVEKW3iDQlgu1nFlbkiT1Remsbc4eOkUmmyPiscA3gKXAt4BzgOuBVcDhwFOBr0fEUzLz/BJjSpKk4VV2h2yp3czakiSpn8zaqqNUZ/PJnWsdm5lfnvLe2yLiWOCMznFHFRpTkiRJGgZmbUmSJA2EUpPNhwL/1iX8ApCZX4yIzwNHFBpPkiQNsfR2PA0Xs7YkSeobs7bqGCl0nXHg8lmOuQxXapEkSZK2lFlbkiRJA6FUZ/OPgP1nOWZ/4IeFxpMkSUMqKb9BoDN0ajmztiRJ6ovSWducPXxKdTa/CXhWRPxZtzcj4kTgGcCbC40nSZIkDQuztiRJkgbCvDqbI+ItXV4+C/i/EfEXwLnADcCDgCcDewNfA54N/GB+pUqq45Uv2o/1q8aaLqOrZ++2kqWjI+zIqqZL6WqbkVFglMNHdmu6lK7GWMTRS7dquoxpLdpvEW9fO9vd39KWiOKdzeCO22oPs7a0uVe94DGtXUT0qQc8mLGxUVYuXdJ0KV1tvWgUAp4z1r6s3facvRWLYQSOXtq+/3YA28QoAEfssrLhSja3dHSEnffZuekypjW6fiMAH/zcRQ1X0kals7Y5e9jMdxmN1TO8t3fnMdVRwJHAO+Y55oISixcTD35Q02VMa9H9G5ouYVqbRko15PfGjU9Y3nQJXa3feYz9d21nbWOLRkhgbLSd33eR1ffcktjYcCXdjeYIW42O8JStt2m6lK7OvXc9d+2xqekyprXNNaNNlzCt8SXt/SHC+GUjcE9DgyeMl55sbuf8hYbX6hneM2vPwpw9f63O2RE88lHtm1ADGBsbJQOyrZEiICIZW9S+77225+zIRSTB6Oh406V0N/FN18Y/ugFji0d4zO7bNV1JVzEOP772du7ZrX15u9GcDeWztjl76Mx3svnwolVI6psf3nt70yVsZudF1U+8rxr7ScOVdLf3fY8hSK5adn7TpXS1+/qD2JCL+O+4oelSNvPIbO8/9iWpxcza0jTOv2ld0yVsZuXSJeQi+MpdNzZdSlfHbLMzY4s2cFkLs/ag5Ozvxi+bLqWrJ2x8GAD/fsdNDVeyuaNX7ERsgguvu6PpUro68EErmi5BWrDmNdmcmd8qXYgkSdJctfROam2BiAjgmcCzgKcCuwMrgfXAjcCFVEtHfCkzr2mqziaYtSVJUpPM2oOt6Zw9385mSZIkaYtFxFbAK4E/oQq+E/dp3ksVfpcBewEPA14AfDAivgy8LzO/2/+KJUmSpPZrS84uPtncmT1fBSzu9n5mXlV6TEmSNDwSim8QaPNGf0TE8cA7gV2AS4C3AecB/5WZ6yYdF8A+wCHAEcCxwO9ExBnA64Y5T5q1JUlSL5XO2ubs/mhTzi422RwRLwT+GngMMN3WCFlyTEmSNJxKTzarbz4KfAH435n5X9MdlJlJFZIvAU6LiOXAS6my5nHA23tfaruYtSVJUr+YtQdSa3J2kTAaEScCpwIbge8A13R+LUmSJE04ODO3eBeoTjfG30bER4A9ilfVcmZtSZIkzaI1ObtU58Orqdb+ODQz27lNqyRJWjC8HW8wzScATzn/XqoujGFj1pYkSX1j1h48bcrZIyUuAuwKfNbwK0mSJBVn1pYkSdJAKDXZfDUwVuhakiRJM8qMog81KyIeEhEfa7qOFjNrS5KkvjFnLxxN5OxSk82nAUdFxLaFridJktRd9uihJu1AtTGJujsNs7YkSeoHc/ZC0/ecXWrN5lOAxwLfjIjXA+dn5p2Fri1JkqQBFhEvmeWQ3ftSyOAya0uSJGkzbczZRSabM3NTRPwd8FngLICIrq3ymZmlJrglSdJQ6sUted7i12OnAfcwfW9LqbvtFiSztiRJ6p/SWduc3WOn0bKcXSSMRsSxwBnAKPBL4FpgY4lrS5IkaeBdC7wyM/+t25sRcQCwpr8lDQ6ztiRJkqbRupxdqvNhNdUs+tGZ+Z1C15QkSdpMAll47TeXkuu5NcBBQNcQTPVbYNvL9FZj1pYkSX1QOmubs3uudTm71GTzPsAnDL+SJKkf3Nl64LwX2GaG9y8HDu9TLYPIrC1JkvrGrD1QWpezS0023wzcX+hakiRJWkAy89xZ3r8b+FafyhlEZm1JkiRtpo05u9Rk8+eAIyNicWZuKHRNSZKk7uy20HAxa0uSpP4xa6uGUjsSvgm4DfhsROxR6JqSJElaoCLiqRGxtOk6BoRZW5IkSXPSdM4u1dn8E2Ax8ATguRFxO3BHl+MyMx9WaExJkjSMsvwGge5c0oizgUcCP2u6kAFg1pYkSf1ROmubs5vQaM4uNdk8AmwErpr0Wreee/vwJUmSBObCLWHWliRJ0lw1mgmLTDZn5h4lriNJkjQndkhoiJi1JUlSX5m1VUOpzmZJkqS+STctkSRJknrCrK06Sm0QKEmSJEmSJEkaYkU6myPiJXM9NjM/UWJMSZI0xLy1T0PErC1JkvrKrK0aSi2jcRqzfytG5xgDsCRJkjR3p2HWliRJ0gAoNdl8/DSvbwc8Dvg94HPAvxcaT5IkDTHXkdOQMWtLkqS+MWurjiKTzZl5+kzvR8THqcLvqSXGkyRJQywpf2uftwo24WTg5qaLGARmbUmS1Dels7Y5uwmN5uy+bBCYmWcCXwPe3o/xJEmS1G6Z+ebMvLXpOhYCs7YkSZImNJ2z+zLZ3PEz4OA+jidJkhak6NFDGmhmbUmSVIA5W/X0c7L5Udg8L0mSpI6IODkifhQRO0x5fXFE7NZUXQPKrC1JkiSg2Zzd08nmiBiJiIdGxDuBo4BzezmeJEkaEln4oaY8ExidfJtfRBwIXANcGRG/iIinNVVc25m1JUlST5izF4LGcnaRDQIjYpyZv4UCuAV4XYnxJEnSkDO4LhR7AF+a8trJwErgO8Cjga9ExP6Z+fM+19YaZm1JktRXZu2FYA8aytlFJpuBb9P9W3EcuA34IfDxzLyp0HiSJEkafMuBGya+iIjtgGcBn8nM34uIhwM/Bl4P/EkzJbaCWVuSJElborGcXWSyOTOfVuI6cxERp1BtfvIIqtn49cCVwBeA/5uZt0w6dm/g+cARwN7Ag6gC+feB/5OZZ3e5/pOAY4HDqX4KsBy4FjgTeFdmXt6rzyZJkuYo3WhkgbiGKs9NeDbVMm8fBsjMyyPiS1TBeGiZtSVJUl+ZtReCxnJ2PzcILOXVwNbAN4APAp8CNgKrgbUR8ZBJx74DeBdV8P0P4H3AecDRwFkR8cou1/8c8Brg3s61/5YqAJ8AXBgRTyz/kSRJkobSWuCIiBjtfP0/gXuoOnkn/BJ4cL8LG2JmbUmSpMHXWM4utYxGPy3PzHunvhgRJwMnAW8AXt55+WvAKZl5wZRjD6MK0O+JiM9m5nWT3v4A8MnMvHbKOSdRrW3yYeAxpT6MJEnaMglk4XXkXJauMR8AvgWcGRGXAccAZ2TmxknH7Ew1Man+MGtLkjTESmdtc3ZjGsvZ855sjoi3z+e8zHzLfMfsnD/df4TPUAXgvScde9o01/hWRJxD1Sp+KFWHxcR7p0xz/VOANwGPjogdJ99CKEmSpC2XmedGxJuAtwFPBe7o/Hqy3wKum3ruQmfWNmtLkiTNV5M5u05n85uofkAxl4VcJv8go1YAnsFzO89r53j8hs7zxhmP+o2cdOymuZwQEWumeWvfOY6pAfKq5z8agPUrFzdcSXfPfshKxhaPsPOinZsuZTPbjFR3dex9XzsbmZbkGAC7rz+o4Uq6W5xLWURwaO7ZdCldPW7rJU2XoIUmKd8iYctFYzLzbyLin6jy0U+nrAm8F/B44J+bqq9BZu0ZmLOHz6P33J7tly7h2Q9ZOfvBfbb14lEIOGab9uVsqLJ25Egrs7Y5u55lo9W/o45esVPDlWxu6cgIEXDALiuaLqW78aYLaLHSWduc3Zimcnadyebj53jc1sBfAA+n4LdYRLwW2AZYQbWJyZOpwu+75nDuQ4FnsPlaJTN5IbAt8P3MvH0+NWvhe/Se27NpaTuXQl+6aMT/x0taONy0ZEHJzBuBG7u8tRw4nWpzumFj1pYkDbR7N45z4XV3NF1GVyOb/NfxjMzaC0YTOXvek82ZefpM70dEAP8LeCOwC3AD8Nb5jtfFa6k2I5nwNeC4zLxplrrGqDYjGQNen5m3zTZQROxJtXnJRqoNTeYkMx87zfXW5EgclFuNzfVS/bfurqYrmNb927fzv9umsVFydIQf3rOu6VK62nGrJYwt2cCVYz9pupTNPKLTZTG2/LsNVzKNOw8hgfFtvtN0Jd3d9WTuHx/l0rGLm65kM7tv2J01t25k7JbR2Q9uyIpL2zuncefDtm26BKlRmXkhVZ4cOmbtmZmze6OtORvgx9eu41HbjPCjde3L2ketXFnl7GXty9lQZe2xGGds2+83XcrmzNm1PPyu/QD46k03N1zJ5g5esZxLf3wzH/rsXG+I6a9f5+xRJ1U1nHqZs3vSghkRRwI/ptrgYwXVTtUPz8wPlxojM1dlZgCrgOcDewEXRMS09990dmD8JPAk4NPAe2cbJyJ2Br4K7AS8KjNbOhsmSdJwCCCy8KPpDyVtAbO2JEnqleJZu+kPpL4rOtkcEftFxNeBfwceBZwG7J2Zb83Mu0uONSEzb8jMzwPPBnYEPjFNbaNU65C8kGqDkz/InHl/zU74PQvYhyr8/n3J2iVJkoZVRDw1IpY2XccgMWtLkiRpNk3n7CKTzRHx4Ij4OLAGeCbwDeCAzDwhM/uye3hmXglcDPxWRDxg14iIWAT8P+D3gH8Bfj8zZ9ysJCJ2Ac6hCvInZuapvahbkiTNQxZ+qAlnA7s3XcQgMGtLkqS+MmcPukZzdp0NAomIbYC/Al4NbEW1acjrM/PrBWqbjwd3nn+9g3VELKHqrjiWqhPj+Myccd/RiNiNqsvi4cCflrwlUZIkFeCmJQuBv4mzMGtLkqRGmLUHXaO/gfOebI6IPwVWU62vdh3wCuD02W6XqyMi9gVuz8zrp7w+QrVW3c7Adyc2IulsUPJvwHOAjwJ/PIfwuzvVTwD2AE7IzI+X/hySJEnSTMzakiRJGkR1Opv/nqoh/nKq3aNHgOOrjbGnl5kfqzHmkcB7IuLbwM+BW6h2yT6MatOS64GXTTr+Q1Th92bgGuAtXeo7JzPPmfT1t6jC7xrgoRGxuksdp2XmFTU+hyRJmq9e3JLnLX5qH7O2JEnqv9JZ25w9dGoto0HVlr038ME5HptAnQD8Tapdt58E7A9sB9wN/Ixq5+tTM/PWScfv2XleCbxlhuueM+nXe3SeH9t5THf8FXOuWpIkSdpyZm1JkiQNlDqTzW8rVsUcZeZFwIlbcPzT5jGGC9NIktR2dkho4TNrS5KkZpi1VcO8J5szs+8BWJIkCTAAa8Eza0uSpMaYtVXDSNMFSJIkSZIkSZIGX901myVJkvrPO/EXgpOpNpaTJElSm5i1B12jOdvJZkmSJPVdZr656RokSZKkhabpnO1ksyRJGjjhOnKSJElST5i1VYeTzZIkSWpUROwLPAEI4KrMPKvhkiRJkqSB10TOdrJZkiQNlqT8Dtl2bzQiIkaAjwIvmXgJGKeTUSMiMtPfHUmSpH4pnbVNco1oMmeP9OKikiRJ0hz8FfBS4HvAnwKfowrCEw6NiCsi4vAmipMkSZIGVGM5u8hkc0TsUeI6kiRJGirHA5cCh2XmR4CLJr+ZmecBG4EXNVBba5i1JUmStIUay9mlltH4RUT8AjgbOBM4KzNvLHRtSZKkB3DTkgXjocDfZeamGY5ZAxzap3rayqwtSZL6xqy9IDSWs0sto3EGsC1wAvAp4LqI+ElEfDAifjsilhcaR5IkSQvHOmBslmOuAXbpQy1tZtaWJEnSlmgsZxfpbM7MFwFExH7AMzqPpwB/DrwCGI+I84EzM/OkEmNKkqRhFZAx+2Fbek014b+AZ0bESGaOT3PMOLCijzW1jllbkiT1T+msbc5uSGM5u+gGgZm5NjM/kJnHADsATwLeBtwCPI5qcWpJkqR6svBDTfkosDfw9hmO2Y8qSw49s7YkSeoLc/ZC0FjOLrVm8wNExD5UHRfPBJ4GbNd567JejCdJkqTBk5mfi4hPA2+IiEcC905+PyKeR5Unz2iivrYya0uSJGkmTebsIpPNEbErv7ml7xlU630E8CvgS8BZVLf1XVNiPEmSNOTsklhI/idVR8WfTbwQEWcDK4FHARuAU5oprR3M2pIkqa/M2gtFIzm7VGfzVZ3nW4Bz+E3gtbtCkiRJ0+qsIfeKiPgk1RrEzwIO67y9FnhdZq5pqr6WMGtLkiRpizSVs0tNNk+s9n0V8HPgcuDqQteWJEl6gLDbYsHJzB8APwCIiDEgMvPemc8aGmZtSZLUN2bthaXfObvUBoHPAE4G7gdeA/wncFtEnBURb4yIQyKi6GaEkiRpSJXeHNDNS1onM+9zovkBzNqSJKk/zNkLWj9ydpFQmplnZ+abM/NQqp2xjwU+BOxItevheVSB+EslxpMkSdLgiYhlbbjGoDFrS5IkaSZtytnFOyAy867M/Epmvho4gqr74iZgW+Do0uNJkqQhZLfFoPplRLyqc/veFomI/SPii8Bre1DXwDBrS5KknjNnD6LW5Oyik80RsW1EHBMRH4iItcA1wPuAnYFbgc+XHE+SJEkD5evA+4HrIuIfIuLwmTooImKviPiziPgecD6wP3B2n2ptHbO2JEmSptGanF1kg8CIeAfVWnIHA6NUm5jcTfVBz6TaMfuCzPRnGpIkqTY3LRlMmfmSiDgV+BvgjzuPTRHx38B1wG3AUqrlIfYBVlLlyhuANwIfyMz7mqi9SWZtSZLUT2btwdOmnF1kspmqqPuB7/GbwPv9zNxY6PqSJElaADLzR8CzI2Jv4ASqSdQDgMdMOfQm4N+AzwGfy8wNfS20XczakiRJmlFbcnapyeYjgXMzc32h60mSJE0vo+kKVFNmXgb8NUBEbAXsStVpsR64MTOva7C8tjFrS5Kk/jFrD7Smc3aRyebM/HqJ60iSJM2Jt/YtKJl5D3BZ56EpzNqSJKmvzNoLRhM5u1RnM/Dr2fLnAwcC2wF3UC0y/fnMvLvkWJIkSdIwMWtLkiSp7YpNNkfEc4DTgR2oFpiekMAHIuL4zPxKqfEkSdJwiiy/aYmboKjtzNqSJKkfSmdtc/bwKTLZHBEHUS0sPQp8imrTkuuAXYCnAy8GzoiIJ2XmmhJjSpIkScPArC1JkqRBUaqz+Y1UXRVPyczvT3nvtIj4O+Ac4CTgBYXGlCRJw8oOCQ0Xs7YkSeofs7ZqKDXZ/BTgs13CLwCZ+YOIOAM4otB4UmsdvHx50yV0tXRkhNFczCPue0zTpWxmSY5Vv7jzkGYLmc74MgIYu+vJTVfSVYwvY4zgUfc9qulSujp4xXjTJWgB8nY8DRmztobefg/Zju2XLOGolSubLmUz24yOEjnSypwNnaydtDNrm7NrWTI6CsBRO7XvzwXA4r12aLoEzZNZW3WUmmxeAVw9yzFXAe2chWtAjCdx971NlzGt8d12arqEaeVIzH5QEwLW/up21u840nQlXe20aglbjQbj2b76srP0ZEt/Z3+tzfVlwoYcbbqMrkbvH2f7S9s74bxp6yVNlzCtFT/4VdMlTGv07g1NlyANE7P2FjBnz19rc/YASNqZs6GqLVreptjm77w25+yJFBttjdoj0dqsbc6WeqfUZPO1wONnOeZgqrXlpAXpff95KQA3Hri44Uqmd9hDl/CL0fb9pXrAhn0AWLZt14at5k10gbS4vrs3LuGbm65pupLNHDiyIxded1fTZWghave/mVVYRCzKzI1N19Egs7aG3tpf3c5vLd2OH922rulSNnPkqpUsHtnEhYsvbbqUrg7YsA/LRja2M8uas2t55vhuAJz585sarmRzB+yygp9eeVvTZWi+zNpDoxc5u9SPXv8DeHpE/HVEPOBHfhExEhGvAZ7ZOU6SJEkiIj4cEUtnOWZP4Dt9KqmtzNqSJEmasyZzdqnO5ncAvwOcDPxJRJxL1VmxCngysAdwPfDOQuNJkqRhZrfFQvFHwCER8aLMvGTqmxHxP4CP4PIQZm1JktQ/Zu2FoLGcXaSzOTOvB54EfBN4KPAHwOuAPwT27Lz+5Mz01j5JklRPVpuWlHwYqBtzMvAo4EcRcfzEixGxJCL+Hvg0sAl4XkP1tYJZW5Ik9Y05e6FoLGeX6mwmM68AjoiIXYEDqTYyuQO4IDPbucCRJEmSGpOZb46Ic4B/Bv4pIp4OfBD4J2A/4DzgxZnZvg0H+sysLUmSpLlqMmcXm2ye0Am7Bl5JkiTNKjPPjIj9gU8Cv995jFMtCbE6M8ebrK9tzNqSJEmai6ZydqkNAmcVEftGxGf7NZ4kSZIGxl3ATUB0HncA33aiee7M2pIkSeqi7zm755PNEfHQiPg48BPg+b0eT5IkDYEs/FBjOt0W5wMvBv4T+FNgCfC1iDg5IvrWHDGIzNqSJKk4c/aC0FTOrnXRiHhiRJwZEesi4paI+EJEPLzz3tKIeC9wKfBS4EbgVfVLliRJ0kIQEScC3wP2Ak7KzKMy88PAY4G1wF8D50bE7g2W2RiztiRJkuajyZw97zWbI2I/4Exg6aSXfxs4KCIOBb4M7E/Vqn0K8PeZeW+NWiVJkoDOztZaCP4WuIpqc5LvTbyYmZdFxCHA+4ATgQuAHZspsRlmbUmS1BSz9oLQWM6u09n8eqrw+4/A44EnAB8FdgPOpdrZ8L3AwzLz/YZfSZJUjMtoLBRfBA6cHIAnZOb9mfnnDO/SEGZtSZLUDHP2QtBYzp53ZzPwZOAHmflnk177r856II8F3piZ76pVnSRJkhaszHzeHI75QkSs6Uc9LWPWliRJ0rw0mbPrdDavAs7r8vq5neeP1ri2JEnS9OxsHiqZeXXTNTTArC1Jkpphzh4avcjZdTqblwDrury+DiAzb6pxbUmSJC1wEfGLOR6amfmwnhbTPmZtSZIkzUuTObvOZLMkSVL/ZQ82LbHroikjdP+vvwLYrvPra4ENfatIkiRpmJXO2ubspjSWs+tONv9OROwx5bUDACLiY12Oz8w8oeaYkiRp2BlaF4TM3GO69yLi4cCpwNbAEf2qqWXM2pIkqf/M2gOvyZxdd7L5gM6jm+O6vJaAAViSJEkzyszLI+L5wEXAW4E3NFxSE8zakiRJKqrXObvOZPPxxaqQJEmao6D8MhpR9nIqJDPvjYhvAC9m+CabzdqSJKnvSmdtc3Y79TJnz3uyOTNPL1mIJEmS1MVGYFXTRfSbWVuSJEk91pOc7QaBkiRp8LiO3FCIiJXA84Crm65FkiRpaJi1F7xe5mwnmyVJ0uAxAC8IEfGWad5aBDwEOJZqx+xhW0JDkiSpOWbtgddkznayWZIkSU1ZPcv764B3Zua7+1CLJEmStFCsnuX9nuVsJ5slSdJgyfIbBNq90ZjDp3l9HLgNuCQzN/axHkmSpOFWOmubs5vSWM52slmSJEmNyMxvNV2DJEmStNA0mbOdbJYkSYPHDglJkiSpN8zaqmGk6QIkSZIkSZIkSYPPzmZJkjR47LYYSBHxsXmempl5QtFiJEmS1J1Ze+C0KWfPa7I5Il4y3wEz8xPzPVeSJAl6sEGg+uW4eZ6XwNBMNpu1JUlSk8zaA+m4eZ5XsE7EMAAAIABJREFUPGfPt7P5NLb85xzROccALEmSNJz2bLqAAXEaZm1JkiTNXWty9nwnm48vWoUkSdKWsNtiIGXmlU3XMCDM2pIkqTlm7YHTppw9r8nmzDy9dCGSJEla+DpLRFyYmWubrqWtzNqSJEnaUm3J2SNNDi5JkrTFslpHruTD7o2+Og34nckvRMRLI+KsZsqRJEnSr5mzB9lptCBnz3cZja4iYifgBcAjga0z848mvb4n8JPMXF9yTEmSNIQMrQvNHsBhTRfRdmZtSZLUF2bthWQP+pyzi3U2R8QJwBXA3wF/zgPXmnsQ8D3g9wuMc0pEnBkRV0fE+oi4NSIuiIi3RsSOU47dOyL+KiLO6hx/f0TcEBFfjIjDZxnnpRHxw4i4KyLuiIhzIuKYuvVLkiRJW6ofWducLUmSpLqKTDZHxLOADwM/A54H/MPk9zPzIuCnTGnlnqdXA1sD3wA+CHwK2AisBtZGxEMmHfsO4F1UAfw/gPcB5wFHA2dFxCun+TzvpWo93wX4CPDPwGOAL0fEKwp8BkmSVEcWfkgt1sesbc6WJEnmbNVSahmNvwKuAw7LzHURcWCXY9YCTyww1vLMvHfqixFxMnAS8Abg5Z2XvwackpkXTDn2MKoQ/Z6I+GxmXjfpvUOB1wA/Bx6Xmbd1Xn8PsAZ4b0R8JTOvKPBZJEmSpNn0K2ubsyVJklRLqWU0Dga+kpnrZjjmV8CqugN1C8Adn+k87z3p2NOmBuDO698CzgGWAIdOeftPO88nTwTgzjlXUN22OMYDb1uUJEl9FoUf6jv7XLZMX7K2OVuSJIE5e8A1nrNLdTYvAe6e5ZjtgE2FxuvmuZ3ntXM8fkPneeOU15/eef5al3O+Cry5c8xbZxsgItZM89a+cylQKung7ZezfHyUA8b3abqUzYyxpPrFnYc0W8h0xpdVz62tb4ylMcKBIzvOfqy0UDQeoVTT6ohYPfXFiJguK2ZmFt3YesA0nbXN2Wrcfrttx/ZjSzhy1cqmS9nMNqOjwCgHbGhfzoZO1h5f3M4s2/qcvYytI3jm6K5NV9LV0pGqf/CAXVY0XIkWHLP2IGs8Z5e62BXAY2c55gnApYXGIyJeC2wDrKDq9ngyVQB+1xzOfSjwDOAe4NuTXt8a2BW4a/Itf5Nc1nl+RK3iJamwe3MTF4zf0nQZXQVjTZcgqX22tNFl2BtjrqCPWducLUmD496N41x43R1Nl9HV4qYLkIZT4zm71GTzF4HXR8QLM/OzU9+MiOOB/YA3FhoP4LVUG5JM+BpwXGbeNNNJETFGtdnJGPD6ybfwUQVqgOn+Tz3x+nZzKTAzu/6jICLW5KLRgzbutHwul2nEop9d3XQJ01q8dPemS5hRjLfzr9Q1t63j0G2W8t8j1zddymaeOL4XAMu2/X7DlXQ3cuchbMjgumU/arqUrna47xH8x9XBm3/ezj+3O17U7h+Lj951X9MlTCu3Wtp0CdMbaW7uL4Ao/G017DOZ/ZSZpZZxGyb9ztrm7B4yZ8/PRb+8lUc+cgfW3DbTajLNOGLVSkZHxvneyC+bLqWrJ47vxdYjGxhvYdZue87e5Z7HsX7DEr56czubOp6wdDkXXncHp3z7stkPbsCKS+5gtOkipmHOnl7prG3O7p+25OxSRbwbuAr4fxHxaTqbk0TEKzpff5iqW+FvC41HZq7KzKBam+75wF7ABRFx0HTnRMQo8EngScCngffOd/h5nidJkiRtqb5mbXO2JEmS5qtIZ3Nm3tbZefoTwAsnvXVq5/lc4Pczc7a15uYz9g3A5yPifOBnnRoePfW4TgD+5059nwH+IDOnhtmJjorpFjyarSNDkiT1WlJ+OsrpLbVYU1nbnC1J0hAqnbXN2UOn2ALQmXkV8LSI2I+q22JHqrD4/cycbgOPYjLzyoi4GDggIlZm5s0T70XEIuBfqALwvwAvyczNFsbOzLsj4hpg14jYpct6chM7cP+sN59CkiRJ2lyTWducLUmSpLkqvqt3Zq5l7jtVl/bgzvOvA25ELKHqsDiWqhvj+Mwcn+EaZwF/CBwJfHzKe0dNOkaSJDXFDgkNqQaztjlbkqRhYdZWDUXWbI6IOe0aHRHH1hxn34hY1eX1kYg4GdgZ+O7EZiSdTUo+TxWAP8rsARjgQ53nN0bE9pPG2AM4EbiPzcOxJEnqo8iyD6nN+pG1zdmSJGmCOVt1lOps/lFEvDwz/7nbmxGxGHgfVYissxnpkcB7IuLbwM+BW6h2yj6MauOS64GXTTr+Q8BzgJuBa4C3RGy2D+Y5mXnOxBeZ+d2IeD/wl8DaiDgDWAL8LrAD8OeZeUWNzyBJkiRtiX5kbXO2JEmSais12bweOD0ingG8PDPXT7wREQ+j2pH6IOCHNcf5JtVu208C9ge2A+6mWtvtk8CpmXnrpOP37DyvBN4yw3XPmfxFZr4mItYCrwD+GBgHzgfek5lfqfkZJElSXXZJaLj0I2ubsyVJUsWsrRpKTTbvD3wKeCnw+Ij43cy8KCJeTNX1sA3wXuCkOoNk5kVUHRtzPf5pNcY6HTh9vudLkiRJhfQ8a5uzJUmSVEKRyebMvD4inknV1fAm4AcRcTbVRh83Ay/KzP8sMZYkSZLrv2mYmLUlSVI/mbVVR6nOZjIzgbdFxI3A3/Gb8HtQZl5TahxJkjTkkvK39hmo1XJmbUmS1Bels7Y5e+iMlLxYRLyM6ha+TcAVwE7AJyNil5LjSJIkScPGrC1JkqS2KzLZHBHbRsS/Uq0ZdyvwdOBRwEeApwEXRsTRJcaSJEmKLPuQ2sysLUmS+smcrTpKdTZfALwI+A/ggMw8NzPvy8w/AX4XGAO+FBHvLzSeJEmSNCzM2pIkSRoIpSabHwK8NjOfm5m3TH4jMz8LHASsAV5VaDxJkjTMsvBDajeztiRJ6h9ztmootUHgUzLzh9O9mZm/iIhDgXcVGk+SJA0zg6uGi1lbkiT1j1lbNRSZbJ4p/E46ZiPw2hLjSZIkScPCrC1JkqRBUaqzWZIkqW/cbESSJEnqDbO26pjXZHNEfIyqqf6kzLyh8/VcZGaeMJ8xJUmSpGFg1pYkSdKgmm9n83FUAfgU4IbO13ORgAFYkiTNXy82G7F7Q+1yHGZtSZLUhNJZ25w9dOY72bxn5/maKV9LkiT1VACRZVNrFL2aVJtZW5IkNaJ01jZnD595TTZn5pUzfS1JkiRpfszakiRJGlS1NwiMiN2Bx1E1xv9XZl5duypJkqSZeDuehoRZW5Ik9Z1ZWzXUmmyOiPcCf8FvuuIzIj6Qma+rXZkkSZI0xMzakiRJGjQj8z0xIn4f+Euq8HsJcGnn138ZES8uU54kSdLmIss+pLYxa0uSpKaYs1XHvCebqXa63gg8MzN/KzMfBRwBjOMu2JIkSVIdZm1JkiQNnDqTzfsBX8jMsydeyMxvAl8EDqhbmCRJ0rSy8ENqH7O2JElqhjlbNdSZbN6e6na+qS4BtqtxXUmSpOkVXkIjDMJqJ7O2JEnqP3O2aqoz2TwCbOjy+gZ+s4mJJEmSpC1n1pYkSdLAWVTzfH8+IUmS+s8EouHgd7okSeo/E4hqqDvZvDoiVnd7IyI2dXk5M7PumJIkSdIwMGtLkiRpoNQNo1t6C5+3/EmSpNrCbgsNB7O2JEnqO7O26pj3ZHNm1lnvWZIkaf4MwFrgzNqSJKkxZm3VYIiVJEmSJEmSJNXmmm6SJGngeGufJEmS1BtmbdVhZ7MkSZIkSZIkqTY7myVJ0mDJrB6lrylJkiQNu9JZ25w9dJxsliRJAyUof2tflL2cJEmSNJBKZ21z9vBxslkaMo8cX9V0CdOK9fs2XcKMdrjvEU2XIEmSNJQe89Dt2W5sCUesWtl0KZvZZnQUGOWJ43s1XUpXy1gM44sYufOQpkvZ3PgyFgG73PO4pivpajSXsHRkhIOXL2+6lO7ub7oASdqck80NifX3seinv2y6jOktWdx0BQNr0T1NV9BdbIRv3d7O4h6/bAkAP1zXzp95Pn5pMHoPXHBjO+sD2OrucXY9d0PTZXQ1smG86RJmND7W3r8KR+/f2HQJ04uG/zx4N56kaZizF7A2/78/YdN4S7dEGoFxgrs2jDVdyWa2GQlIuHfDkqZL6WrpohHuv3+ci392e9OldBXjySJgqxvbOetszp6npnM2tPv/t2q99v7Jl1TUOy64nDse3c7JyF9b1N6/0Vae1+5/GG77q5b/3kqSJNXwkytv45FLd+D8W9Y1Xcpmnr3rShiFr9x5Y9OldHXMtjsD8JW721ffMVvvTGyEb1x5c9OldHXgzsu56Je38/6vXdJ0KV21valD0nByslmSJA2c8N9WkiRJUk+YtVVHS+/zkSRJkiRJkiQNEjubJUnSYEnKryPX3lV8JEmSpP4pnbXN2UPHyWZJkjRwwtAqSZIk9YRZW3W4jIYkSZIkSZIkqTY7myVJ0uBJ2y0kSZKknjBrqwY7myVJkiRJkiRJtdnZLEmSBo7ryEmSJEm9YdZWHU42S5KkwWMAliRJknrDrK0aXEZDkiRJkiRJklSbnc2SJGmwZA9u7bN7Q5IkSSqftc3ZQ8fOZkmSJEmSJElSbXY2S5KkwZO2SEiSJEk9YdZWDU42S5KkgRKUX0Yjyl5OkiRJGkils7Y5e/i4jIYkSZIkSZIkqTY7myVJ0uDxzj5JkiSpN8zaqsHOZkmSJEmSJElSbXY2S5KkgVN6zWZJkiRJFbO26rCzWZIkSZIkSZJUm53NkiRpsCQwXrjdwu4NSZIkqXzWNmcPHSebJUnS4DG0SpIkSb1h1lYNLqMhSZIkSZIkSarNzmZJkjRw3LREkiRJ6g2ztuqws1mSJEmSJEmSVJudzZIkafCk7RaSJElST5i1VYOTzZIkabBkD27tM09LkiRJ5bO2OXvouIyGJEmSJEmSJKk2O5slSdLgsUNCkiRJ6g2ztmqws1mSJEmSJEmSVJudzZIkacAkUXzTEts3JEmSpPJZ25w9bJxsliRJg2e86QIkSZKkBcqsrRpcRkOSJEmSJEmSVNvATTZHxCkRcWZEXB0R6yPi1oi4ICLeGhE7Tjl2cUS8KiI+HhEXRsT9EZER8UezjLFzRLw7Ii6KiDsj4paIWBMRr4uIbXv7CSVJ0kwiITILP5r+VFI7mLUlSRpu5bN2059I/TaIy2i8Gjgf+AZwI7A1cAiwGvjjiDgkM6/uHLs18H86v74BuB54yEwXj4g9gB8AOwPnAF8FlgLPBt4N/EFnjPWlPpAkSZLUEmZtSZIkzdsgTjYvz8x7p74YEScDJwFvAF7eefke4DnAhZl5XUSsBt46y/VfRxV+V2fm2yZdfxT4OvB04IXAJ2p+DkmSNF92SEi9YtaWJGnYmbVVw8Ato9Et/HZ8pvO896Rj78/Mr2bmdVswxF6d5y9NGXcT8O+dL3fagutJkiRJA8GsLUmSpDoGbrJ5Bs/tPK+teZ2fdp6PnvxiRIwAR1HtyXlWzTEkSVIdmWUfkmZj1pYkaViYs1XDIC6jAUBEvBbYBlgBHAw8mSr8vqvmpd8NHAO8IyIOp1qzbgnVOnKrgD/KzAvmWOOaad7at2aNkiQNNTcakXqr7VnbnD28DtpxedMlTOvxy7ZruoQZPX5pe+s7cOf2/r5Kw8isrToGdrIZeC3woElffw04LjNvqnPRzLwxIg4BPgY8j2rdOKhWrPkI8M061/+1JYtht1VFLtULmy7+WdMlTGt0152bLmFGO1482nQJ09r6hsVNlzCjkY3t/Rttq2vvbrqEGY3cc3/TJUxr5La7mi5hRrlsrOkSpjW+9dKmS5hWRjRdgqTeGtysbc6etzbn7NiwiYsvv63pMrra7yHbMT4a/PS6O5oupatFu6wA4KfXtq++RQ9ewciGcS6+op2/twCjG8cZu76dedacPX/mbKl3BnayOTNXAUTEg4BDqbosLoiIYzLz/Plet7ND9peAZVQbnpwHbAUcC7wPODYinpiZv5xDjY+dZow1wEHzrVGSpKHnLXlST7U9a5uzh8+pn1nL/Su3arqMad27o00d87XVteubLmFGbW7qkHrGrK0aBn7N5sy8ITM/T3Xr3Y7U37n6NOAxwAs6G56sy8zrM/MfgTdSdXjMtsu2JEmSNPDM2pIkSdoSA9vZPFVmXhkRFwMHRMTKzLx5S68REdsChwG3Zma3zU/O7jx37aSQJEl9kBDj5a8paXpmbUmShkTprG3OHjoLZrK548Gd503zPH9J53l5RCzJzKn3y+zUefY+GkmSmuStfVITzNqSJA0Ds7ZqGKhlNCJi34jYbLePiBiJiJOBnYHvZua8dhfIzFuA/6aahH/zlDGWAm/qfHnmfK4vSZIktZVZW5IkSXUNWmfzkcB7IuLbwM+BW6jWdTsM2Au4HnjZ5BMi4q+BfTtfHtB5Pj4intz59Xcy858mnfJK4N+BN0XEs4DvUm1gchTwUOBy4JTCn0uSJG0Jmy2kXjBrS5Iks7ZqGbTJ5m8CHwaeBOwPbAfcDfwM+CRwambeOuWcI6kC8mSHdh4Tfh2AM/ObEfE44HWd815BdavgL4D/Dbw7M28v9YEkSZKkljBrS5IkqZaBmmzOzIuAE7fwnKfNY5y1wB9u6XmSJKkfkii+jpztG5JZW5Iklc/a5uxhM1CTzZIkSSTlNy0xA0uSJEnls7Y5e+gM1AaBkiRJkiRJkqR2srNZkiQNnvGmC5AkSZIWKLO2arCzWZIkSZIkSZJUm53NkiRp4JTfIFCSJEkSmLVVj53NkiRJkiRJkqTa7GyWJEmDx24LSZIkqTfM2qrByWZJkjRYkvIB2DwtSZIklc/a5uyh4zIakiRJkiRJkqTa7GyWJEmDZ7zpAiRJkqQFyqytGuxsliRJkiRJkiTVZmezJEkaKEEShddsDheTkyRJkopnbXP28HGyWZIkDR53yJYkSZJ6w6ytGlxGQ5IkSZIkSZJUm53NkiRpsCTluy1s3pAkSZLKZ21z9tCxs1mSJEmSJEmSVJudzZIkafC4jpwkSZLUG2Zt1eBksyRJGjzjTRcgSZIkLVBmbdXgMhqSJEmSJEmSpNrsbJYkSQMnvLVPkiRJ6gmztuqws1mSJEmSJEmSVJudzZIkabBklt+0xO4NSZIkqXzWNmcPHTubJUmSJEmSJEm12dksSZIGz7gdEpIkSVJPmLVVg5PNkiRp8Hg7niRJktQbZm3V4DIakiRJkiRJkqTa7GyWJEmDx24LSZIkqTfM2qrBzmZJkiRJkiRJUm12NkuSpMGSlO+2sHlDkiRJKp+1zdlDx8lmSZI0YLIHO2SbgiVJkqTyWducPWxcRkOSJEmSJEmSVJudzU0ZHyfuubfpKqY3Mtp0BdMaWXdP0yXMaOzeDU2XMK2x69r986XxZYubLmFao7fe1XQJM8rFLf7f+Ug0XcHM7riz6QqmNRLt/W8X4+PNFpANjy+pvczZ82bOnj9z9vyZs2swZ8+bOXsWZm3V0O6/ESVJkiRJkiRJA6HFP6KTJEmaRukNAiVJkiRVzNqqwclmSZI0WJLyGwSapyVJkqTyWducPXRcRkOSJEmSJEmSVJudzZIkacBkD27ts+VCkiRJKp+1zdnDxs5mSZIkSZIkSVJtdjZLkqTB46YlkiRJUm+YtVWDnc2SJEmSJEmSpNrsbJYkSYPHbgtJkiSpN8zaqsHJZkmSNFgSGB8vf01JkiRp2JXO2ubsoeMyGpIkSZIkSZKk2uxsliRJAyZ7cGufLReSJElS+axtzh42djZLkiRJkiRJkmqzs1mSJA0eNy2RJEmSesOsrRqcbJYkSYMlgfHCAfj/t3ff8ZLV9f3HX2+KoCCgomLHjsbEXgIqWH62aNBYIxbMw/ITFcvPXlf9GbEGsXdjiViICTYsKAqaYCxYkGJbRQSkd1h295M/zhkZZmfuzs7cO3OGfT0fj+/j7D31ez537t33PdU8LUmSJC1/1jZnb3Z8jIYkSZIkSZIkaWpe2SxJkhZO1fp5d0GSJEm6UjJraxpe2SxJkiRJkiRJmppXNkuSpAVTy//MZh8mJ0mSJLH8WducvbnxYLMkSVo8viFbkiRJWhlmbU3Bx2hIkiRJkiRJkqbmlc2SJGmxFLB+mV9a4sUbkiRJ0vJnbXP2ZscrmyVJkiRJkiRJU/PKZkmStHh8jpwkSZK0MszamoJXNkuSJEmSJEmSpuaVzZIkaaEURS3zM5vLh8lJkiRJy561zdmbHw82S5KkxVIs/619ZmBJkiRp+bO2OXuz42M0JEmSJEmSJElT88pmSZK0eNZ7iYQkSZK0IszamoJXNkuSJEmSJEmSpuaVzZIkacEU1PK+INCHyUmSJEmw/FnbnL258WCzJElaLAW13Lf2mYElSZKk5c/a5uzNzsI9RiPJm5IcnuSkJBcnOSvJT5K8Jsm1BubdOslzk3w0yTFJ1iSpJE8dYzvbJ3lVkp8muSDJ+UmOTfKBJFuv3B5KkiRJ82HWliRJ0jQW8crm5wM/Br4B/BnYDrgHsAp4epJ7VNVJ7bzbAQe2/z4NOBW40cY2kGTXdv23AI4E3gsE2BV4FPAC4LJl2BdJkjSJZX+MhqSWWVuSpM2dWVtTWMSDzTtU1SWDI5O8AXg58DJgv3b0RcBDgGOq6pQkq4DXLLXy9kqKLwA3AfauqkMHpm8J+FMnSZKkKyOztiRJkia2cI/RGBZ+W59th7fsm3dNVX21qk7ZhE08EbgD8I7B8Nuuc11V+cQZSZLmqNbXsjZJDbO2JEkyZ2sai3hl8ygPa4c/m3I9j2+HH2tv8XswsBPwB+CwqjpzyvVLkqSpLPcbstt1SlqKWVuSpM3Ccmdtc/bmZmEPNid5IbA9sCNwF+CeNOH3gClXfVfgEprg+0auWKMLk+xfVR8Zs48/GjHp9hdcdhbfP/mT0/V0BdW67j4mL3/s+Dtjknn3YLQu9w2oLbrbv6xdN+8uLK3L39uuX6DW5bPtZ3f3BqQL1pwJzfNVZ+5Czufo+uayr1PS5bqetc3ZK8OcPYUu9w1z9lS6/L01Z0/OnD3Scmdtc/bmZ2EPNgMvBK7b9/VhwL5VdfqkK0yyDbADsA54S9veBVwA7A0cBHwoyeqq+tak2wG2WF9r15235s8/nWIdm6vdWAPA8XPuxyLarR1au01n7SZn7Sa3G2uB7tZuV+C8OWz3+PWs43zOWZF1r8RKpQW1qFnbnD05c/bkzDuTs3bTsX6TWtvp2u3KfHI2rFzW7mKdtUIW9mBzVe0CkOS6wO40V1n8JMlDq+rHE652y77hIVX14r5pH02yPU0Ifgmw0QBcVXceNr53Jcao6RrN2k3O2k3O2k3O2k3O2g1XVfvMuw/S5qDrWducvfys3eSs3eSs3XSs3+Ss3XBmbS2H7t43MKaqOq2qvgA8ALgW8PEp1nURtOfzm7dkD+qNu9uk25AkSZIWhVlbkiRJm2LhDzb3VNXvgV8Cf5Vk5ylWdUI7HHbPwNnt8KpTrF+SJElaKGZtSZIkjeNKc7C5df12OM0bBg5vh7cbMq03bvUU65ckSZIWkVlbkiRJS1qog81Jdkuyy5DxWyR5A3Ad4PtVdfaGS4/t/cBa4PlJbti3jW2BN7RfHjzF+iVJkqTOMWtLkiRpWov2gsAHAW9J8l3gN8CZNG/J3hO4GXAq8LT+BZK8lMvf0HqHdviUJPds/31UVX2oN39VHZ/kJcDbgJ8m+Q/gQuCBwK2Ao4E3rcC+SZIkSfNk1pYkSdJUUlXz7sPYktwOeCawB3BDYCeacHoi8GXgoKo6a2CZI2gC8ij/WlX7DtnW3wH/D7gzsA3wW+DTwFur6uJp90WSJEnqErO2JEmSprVQB5slSZIkSZIkSd20UM9sliRJkiRJkiR1kwebJUmSJEmSJElT82CzJEmSJEmSJGlqHmyWJEmSJEmSJE3Ng82SJEmSJEmSpKl5sFmSJEmSJEmSNDUPNo+Q5FFJ3pnkyCTnJakkn9zIMrsn+UqSs5JclORnSZ6XZMsh8/51kg8l+UmS05NcmuSkJN9M8g9JMkYfd05yatu3o6bZ3+XU5dq1NXtLkuOTXJzknHY9b1qOfV8OXa1fkpsmeV9bu4uSnJbkv5I8PclVlmv/p7HStRuybJJ8o91OJdlqxHxXTfLaJCckuSTJn5N8NsltJt3X5da12iXZOskjknw4yS/aPl2U5OdJXpfk6tPu83LpWu1GLHOrJBeO0zdJmoWu5p2BdZi1r2RZu6u1izl72LJj5Z2Ys4ctu2TtYs5eatmxPncDy5izpUFVZRvSgGOAAs4Hjmv//ckl5t8bWAtcAHwYeAtwfLvc54bMvy9wBvAl4N3APwMfAU5vl/nEGH08pO1fAUfNu2Zdrx1wR+DPwDrgq8ABwIHAocDv5l23LtcPuGu7/nXAl4E3Ae8F/tgu8zUgV/baDVn+Oe3yF7fLbDVknm2Ao9rp/9PW7t+Ay4ALgbvPu25drB2wWzv+AuCLbd3eDfy6HX8CsPO869bF2g2ZfyvgaC7//2Jk32w2m21WbaV/d2LWnnntWICs3cXaYc4etbw525zdudoNmd+cbbMNaXPvQFcbcB/glkCAvZb6xQHsQBOsLgXu0jd+W+D77bKPG1hm2yXW9ct2mbst0b8ntfM8k+4F4M7VDrgGTWA7B7jHkGW3nnfdOl6/L7fjnzwwfjvg2Hbava/stRtY/tbARTR/SK1mdAh+WTvtc8AWfeP3bscf2z/e2v1lnhsA+wHbDYy/Cs0fcAW8c95162Lthizz6nZ7+y/VN5vNZptlW+nfnZi1Z1o7FiRrd7R25uwNlzdnm7M7Wbshy5izbbYhzcdojFBV366qX1VVjTH7o4BrAwdX1Q/71nEJ8Mr2y2cOrP+SEds9j+bsNTS/VDeQ5MbAQTRn6r46Rv9mqqO1ez7Nf6qvqKr/HrLsZWP0dSY6Wr+btcNDB5a5EDi8/fLaY/R3Ra107Xra26k+AfwOeM2oDbTsPoT0AAATDUlEQVS3Sv7f9ssXV9X6vu38J3AkcFtgzzH6u6K6VruqOrmq3tN+xvrHr6G5SgiawDl3XavdwDJ3AV4FvB742TjLSNIsdDTvAGbtK3PW7mjtzNl9zNnm7H5dq93AMuZsaQQPNi+P+7bDw4ZM+y7N2bHdk2yzsRUluVrf+n4+ZHqAjwHnAi+YpLMdM6vaPZ7m1rRPJLltkuckeUn7DKjtJ+x7F8yqfse2w78bscyFwH+N2eeumKZ2r6S5VfTJVXXpEtu4OXBj4MSq+t2Q6b0/YO87ZFqXzaJ2S+n9wbp2wuXnaWa1S3JV4OM0tx8eMFl3JakTzNqTM2tPzpw9OXP25MzZkzNnSx2x0Yedayy3bocnDk6oqrVJfgf8Fc1Z6+P6pye5BfAEYEvgujQh4/rAG6tq2Nmx59GcZXxAVZ2X5JrLtRNzsuK1S3INmjByIrCKpob9L+c4M8mTquory7RPszSrz94rgd2BjyV5DM1tgDsAD6X5PfLoqvrTcu3UjExUuyR3BV4BHNB/xnxTt9H6VTu81bid7ohZ1G4p/9QOhwXJrptl7Q5o13Ondt1TdVyS5sisPTmz9uTM2ZMzZ0/OnD05c7bUER5sXh47tsNzR0zvjd9pyLRbcMXbNNYALwLeNjhjktvS3Nbyvqr65mRd7ZxZ1O467fDmNA/8fwnNWcjQhMA3AockuVNVHcdimclnr6qOb/8T/jTwsLZBc+b7QGCD2yUXwCbXrj2D/QmaPwJetxLbWBCzqN1QSf4eeAbNcyHfPOl65mgmtUtyP5rfdy+tql9O1lVJ6gyz9uTM2pMzZ0/OnD05c/bkzNlSR/gYjdnoneba4DlDVXVYVYXmYfy3AN5AE3IPTXKVv6wg2Zrml+ApwItXvMfdMXXtaK4o6A3fUVVvqarTqurUqnorzTP5tqW5CuPKZjnqR5I70rxU4arAvYCrAzeieSHCC4Cjk+zIlcuw2r2Z5gz2k5fp2YMjvz8LbkVql2R3mjeMXwg8sqrOnqqX3TR17ZLsBHyU5s3YG/xRK0lXQmbtyZm1J2fOnpw5e3Lm7MmZs6UZ8WDz8uidIRsVAnYYmG8DVXVZVf2mql5HEyweSvNG056X0TxD6ClVdcGU/e2SWdSu/z/KLwxZRW/c3Tbe3c5Z8fq1L0v4LM3LFh5WVUdV1QVV9ceqOgB4J82LTp4/3a7M3CbVLsmewLOA/19Vx6zENhbILGp3BUn+lubZe+uBB1XVDyZZTwfMonZvB3YG9q2qdZN2VJI6xKw9ObP25MzZkzNnT86cPTlzttQRHmxeHie0ww2eB9UGiJvSPGD/t2Our/cyg736xt2J5kzcEUmq12jelgqwRzvunE3t/JyteO2q6hTgvPbLYfXpBeSrjrmNLpnFZ283misyjquqU4cs8+12eOcxt9EVm1q7O9L8DL62/2ew/Tm8STvPZe24O2xsG63e28hHPWuuq2ZRu/513ovmDe5F8wzN7y3v7szULGp3J5rfZ8cPzN/7Wd2nHTfRHySSNAdm7cmZtSdnzp6cOXty5uzJmbOljvCZzcvjW8A+wINonrXV797A1YDvbsIbYW/QDvvfAPsN4Iwh824PPBY4DfgSzRtWF8ksatfbzsOB23H5G597btcOV4+5jS6ZRf16b+vdecQy126Ha8bcRldsau1+AXx4xLoeS/Oz+BGaoHZmO/43wB+AWyW56ZA3ZT+4ry+LZBa1AyDJfYFDaT5fD6yq/1mOHZijWdTu34FhLze5HvAQms/lETSfTUlaBGbtyZm1J2fOnpw5e3Lm7MmZs6WuqCrbRhrN2ecCPjli+g7A6cClwF36xm9L8/ytAh43sMw9ga2HrOvawM/aZZ42Rt92bec9at516nLtgPu3438O7NQ3fiea/2SK5laYudesa/WjCcFnt+OfOrDMTjRv8i1gv3nXa6Vrt8S2VrfzbzVk2svaaZ8Dtugbv3c7/tj+8V1oHardA2j+qD8DuOO867JItZukbzabzTav1oW8s0TfdsWsvdHasYBZuwu1w5w9zrZG5h3M2dPUzpw9Ye0m6ZvNtrm1VBXaUJKH05ydB9gFeCDN7RZHtuPOqKoXDsz/eeAS4GDgLODvgVu34x9TfcVub6vYBfgezVmvdTRh9iE0t2X8B/Co2shzgJLsSnN73/eq6p6T7u9y6mrtkhxE89bYk4EvtqMfCtywXeaRVbV+6gJMqYv1S/JkmhchBDgc+AlwjXY716Z5S/ZeNf6VHStipWu3xHZX09xqtXVVrR2Ytg3NWfbdac6CHw7cGHg0zVUE962qoyfY3WXVtdoluTVwDE04PITmD9UNVNWqcfdxpXStdkvMvxfNLX6fqqonjLNvkrRSuph3RvRzV8zaV5qs3cXambM3ut3VmLPN2Y25126J+ffCnC1dbt5Hu7vagFU0Z6ZGtdVDltkD+ArN2emLac7sPx/Ycsi8T6T5xf5b4AKa/wz/RHN73mOhOREwRj93pWNXW3S5dsCTaALbBe12fkITijfYjvXbYLl709w2dApwWbvsj4CXAtvOu26zqN0S213NEme+af64eC3wK5oz7afTXIFx23nXrKu14/KrA5Zs865bF2u3xPy9mnrFhc1mm3tb6d+dmLXnUjs6nrW7WjvM2UttdzXmbHN2R2q3xPy9mpqzbbbyymZJkiRJkiRJ0jLYYt4dkCRJkiRJkiQtPg82S5IkSZIkSZKm5sFmSZIkSZIkSdLUPNgsSZIkSZIkSZqaB5slSZIkSZIkSVPzYLMkSZIkSZIkaWoebJYkSZIkSZIkTc2DzZIkSZIkSZKkqXmwWZIkSZIkSZI0NQ82S5IkSZIkSZKm5sFmSZIkSZIkSdLUPNgsrZAkuyapJB+b8Xb3bbe77yy3uzFJ9mr7tWrefdFwSVYnWT3vfkiSJG2MWfuKzNrdZ9aWtLnwYLO0CdoA19/WJTkjybeS7DPv/k0jyRZJHpXkkCQnJbkkyYVJjkvygSR7zLuPXdf3R08lOTpJRsxXSf446/5JkiR1mVlbSzFrS9Ji2GreHZAW1Gvb4dbArYGHA/dJcueqekE77WTgNsC5c+jfJkmyC/B5YA/gfOAbwG+AALcE/hF4WpL9q+qdc+voYrkb8Fjg4Hl3RJIkacGYtbUxZm1J6igPNksTqKpV/V8nuR9NaHxekoOqanVVXQYcP4/+bYokVwMOA25PE9b2q6qzB+bZAXghsMPse7iQ/gDsAvxzkn+vqjXz7pAkSdKiMGtrI8zaktRhPkZDWgZVdThN2A1wVxj+HLkkd0+yJslvk+zYv44k10tyWpILkuw2MO2aSd7Y3mZ3cZJzkxye5AHL0P3n04Tf7wH7DIbfdv/Oq6pXA28d6NeObb9OaG8FPDvJ15Lcf9yNL/XssiSr2hruNTC+khyR5LpJPtLW7cIk309yr3ae7ZK8Jcnvk1ya5Ngkjx6yjb88dy/Jfdr1np/kvCRfTnKbcfelz0nAe4GbAs8ZZ4Fs5Pl/vX0eGPeX+iT5xyQ/SnJRkj8leXuSbdr57tvu13nt9+gTSa61RF92TPKuJCe339dfJtl/iVsV757k80lObT/fJyV5f5LrD5n3iLbPV0ny6vazc2lm/LxFSZK0OMzaZu0BZm2ztqQO82CztHx64aBGzVBVRwMvpwlGH/zLgskWwCeB6wDPqqrj+6bdBPgR8FLgdOB9wGdobhs8LMnTpuz309vh66tq/VIzVtWlff3aCfh+269zgQOBQ4C/Bb6e5BlT9mtjdqIJ7XcEPt1u+y7A15LcHjgc2Bv4EvCvwI2BzyS5x4j1PRT4OnAeTY2PBB4CfCfJzhP073XAOcArklxzguU3xXOADwMn0ATvM2n+sHl/kkcAXwXOAj4AHAc8gebzNsxVgG8CD6S5+uaDNLV+B/CuwZmTPIXm+/Bg4Ns0n4MfAk8FfpjkxiO2cwiwH81n6EDg55uyw5IkabNj1jZr9zNrm7UldVVV2Wy2MRtNuK0h4+8PrG/bTdpxu7bzf2xg3tCEsgKe0Y57Tfv1x4es+4h2vY8bGL8TcAxwMXDdvvH7tuvad4z9uVE772XAtptYi/e3y74fSN/4W9IE4kuBXfvG79XOv2pgPauB1SO2sapdZq9h3weaoLpF3/gntuPPAr7Yv0/AvdppXxhYV69ea4H7DUx7YzvtxWPWpPc9P6r9+oXt128f0v8/jujH0O9bO+2IEfU5F7hN3/htgGOBdTRheM++aVvQ3IZawB2GfC8KOArYpm/8NWmeK1jAvfvG3wpYA/wauMHAuu7bbn+w3ke06/kZsPNK/azabDabzWZbvIZZu39Zs/aG/e19z83aZm2bzdbh5pXN0gTaW6pWJXlDks/TPIctwIFV9fullq2qogk7JwMHJtkPeBXNmfJnDmzn9sCewCFVdfDAes6hCc7bAo+ccFeu1w7PrKpLxl0oydY0Z+wvAF7W7lOvX78CDqI5a/+kCfs1jouAF9UVrxD5N5ogew3guf37VFVH0gS8O4xY38HV3KLZ7wPt8G4T9vGd7TafleRmE65jHAdV1XG9L6q5KuYzNGH3y1X1nb5p67n8Sovbj1jfy6rvypqqOgt4ffvlU/rmeybNi3ueW1Un96+gqr4FHAo8LMnVh2zjVVV1xjg7J0mSNi9mbbP2mMzaZm1JHeQLAqXJvKYdFs3tW0cCH66qUbdLXUFVnZHk8cC3gHcDlwCPraoLB2b923a4Y5JVQ1Z17XY4ybPOYIzbEUfYDbga8L02HA36FvBKmtvuVsqJVXV+/4iqWpfkNGC7qvrtkGVOBu4+Yn0/HDLupHZ4jUk6WFWXJnk5TTA/AHjMJOsZw7C+/6kd/mjItF5YveGQaWtpbrcbdEQ77P+e9j6feya565BlrgNsSXNVxmA/fjBkfkmSJDBrm7XHYNY2a0vqJg82SxOoqqEvb9hEP6B5k/JNgW9X1U+HzNN7scT/adso20/Yh15I2jnJtptwxUXvhSunjJjeG7/ThP0ax7kjxq/dyLRRv/fOGRxRVWvb93Rsucm9u9zBNM90e3SSe1TVf0+xrlGG7e/aMaZtPWTaGVW1bsj4U9th/8t2ep/PF22kf8M+n6cOGSdJkmTWNmtvCrO2WVtSx/gYDWl+3kETfs8AHpxknyHz9MLLc6sqS7SnDFl2o6rqJJoQvhVw701YtNevXUZMv97AfEtZz+hQupIBeiba2x5f2H751iVm7d2iuEEt2hfEzMrOSYYF/t73uv972vv3jhv5fH5nYF29ukiSJK0Us3bDrN0wa0vSjHiwWZqDJI+meTP1d4E70b75OsktB2btnZm/1wp2p/estFe2b+oeKck27T9PoHmO2x2SDLvt7T7t8MdjbP9s4Lrts+kG3WWM5Tuvqr4L/CewR5JRz/w7ux3eaMi0WdZhK2D3IeP3aoc/6Rs3i8+nJEnSJjFrX4FZu2HWlqQZ8WCzNGPtyys+SPPm4n3aKx6eBGwHfKYvZFJVP6R5Rt0/JPmnEev76yTXmaJL/wL8lCbEfHzYmf0k2yd5Ne1VA1W1BvgUzS1brxuY9+bA/jRv3f7EGNv/AU3ousIVI0n2BfbYxH3pshfT3FJ3wIjpP6S54uLxSa7WG5nkmsCbV757V/DG/s9h24dXtl9+tG++d9F8n/8lya0GV5LkKkkMx5IkaWbM2hswazfM2pI0Iz6zWZqh9oqCg2mexbV3Vf0RoKoOS/I2moD5VuA5fYv1Xm7y4ST7A0fTPPPshsDfALejeXnEnyfpU1VdlORBwOeBfWjeaPwN4Nc0J6RuAdwP2AF4dt+iL6UJzc9uX1jxbWBnmhdzXB14dlX9bowuvJMm/L43yf1oXhRye5oz/l8CHjrJfnVNVZ2Y5APAfiOmn5LkU8ATgWOSfJmm5g+huSpnJV8A0+8UYBvgF0kOpXnW3KNobtd8T3vlSK/Px7d/mH0EODbJYcCJ7TI3pvl8nE7zkhtJkqQVZdYeyqyNWVuSZskrm6XZOgC4K3BQVR06MO3lNFcePDvJI3oj25B8Z+AVwDqakLo/TUD8A/AM4OfTdKqqTqV5jtxjgMOBewDPowm8twU+B+xRVe/uW+YsmuD9ZpqXV7wAeHS7Dw+qqveMue1fAvcHvgc8jOaWxzXtuoe93XmRrQLOW2L602j+ALoa8CxgT+Agmu/5rKyh+X58HXgczefrXOC5XPEPIADat8Lfmebqm79p53kCzR9On2dE4JckSVoBZu0Nt23WvpxZW5JmID43XpIkSZIkSZI0La9sliRJkiRJkiRNzYPNkiRJkiRJkqSpebBZkiRJkiRJkjQ1DzZLkiRJkiRJkqbmwWZJkiRJkiRJ0tQ82CxJkiRJkiRJmpoHmyVJkiRJkiRJU/NgsyRJkiRJkiRpah5sliRJkiRJkiRNzYPNkiRJkiRJkqSpebBZkiRJkiRJkjQ1DzZLkiRJkiRJkqbmwWZJkiRJkiRJ0tQ82CxJkiRJkiRJmpoHmyVJkiRJkiRJU/NgsyRJkiRJkiRpah5sliRJkiRJkiRN7X8BfrvaBjEafIsAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "image/png": { "height": 277, "width": 717 } }, "output_type": "display_data" } ], "source": [ "# Two subplots\n", "fig, axs = plt.subplots(1, 2, figsize=(12, 4))\n", "\n", "# Plot pipeline aperture mask\n", "tpf.plot(axs[0], scale='log', aperture_mask=tpf.pipeline_mask)\n", "axs[0].set_title('Pipeline Aperture')\n", "\n", "# Plot larger aperture mask\n", "tpf.plot(axs[1], scale='log', aperture_mask=aper)\n", "axs[1].set_title('Larger Aperture')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's create our two light curves, one with the pipeline aperture and one with the new aperture. \n", "\n", "`tpf.to_lightcurve()` creates our SAP flux with the pipeline aperture as a default. To use a new aperture we simple use `tpf.to_lightcurve(NEW_APERTURE)`." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 10/10 [00:10<00:00, 1.03s/it]\n", "100%|██████████| 10/10 [00:11<00:00, 1.16s/it]\n" ] } ], "source": [ "# Create the light curve with the pipelien aperture.\n", "lc_pipeline = tpf.to_lightcurve().normalize().remove_nans().remove_outliers()\n", "lc_pipeline = lc_pipeline.correct(windows=10).remove_outliers().fill_gaps()\n", "\n", "# Create a light curve with a slightly larger aperture \n", "lc_larger_aperture = tpf.to_lightcurve(aper).normalize().remove_nans().remove_outliers()\n", "lc_larger_aperture = lc_larger_aperture.correct(windows=10).remove_outliers().fill_gaps()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When we plot these two light curves we can see that the larger aperture is much less noisy." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 263, "width": 400 } }, "output_type": "display_data" } ], "source": [ "# Create subplots to plot into\n", "fig, ax = plt.subplots()\n", "\n", "#Plot the pipeline and large aperture light curves\n", "lc_pipeline.plot(ax=ax, label='Pipeline Aperture')\n", "lc_larger_aperture.plot(ax=ax, label='Larger Aperture')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, when we plot the periodogram we can see we've increased the signal to noise ratio of our stellar oscillations." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 267, "width": 395 } }, "output_type": "display_data" } ], "source": [ "# Create the periodograms\n", "p_pipeline = lc_pipeline.periodogram()\n", "p_larger_aperture = lc_larger_aperture.periodogram()\n", "\n", "# Create subplots to plot into\n", "fig, ax = plt.subplots()\n", "# Plot the periodograms\n", "p_pipeline.plot(ax=ax, c='k', alpha=0.5, label='Pipeline')\n", "p_larger_aperture.plot(ax=ax, c='C3', alpha=0.5, label='Larger Aperture')\n", "\n", "\n", "ax.set_xlim(100, 400)\n", "ax.set_ylim(0, 50)\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, this target was actually observed twice by K2, once in April 2015 in Campaign 5 and once in December 2017 in Campaign 16. We can get both of these data sets and compare the results. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/ch/miniconda3/lib/python3.6/site-packages/numpy/lib/nanfunctions.py:907: RuntimeWarning: All-NaN slice encountered\n", " result = np.apply_along_axis(_nanmedian1d, axis, a, overwrite_input)\n", "/Users/ch/miniconda3/lib/python3.6/site-packages/ipykernel_launcher.py:5: RuntimeWarning: invalid value encountered in greater\n", " \"\"\"\n", "100%|██████████| 10/10 [00:11<00:00, 1.19s/it]\n" ] } ], "source": [ "# Download the C16 TPF\n", "tpf_c16 = KeplerTargetPixelFile.from_archive(ID, campaign=16, cadence='short')\n", "\n", "# Create a new \"large\" aperture where flux is greater than the 70th percentile.\n", "aper = np.nanmedian(tpf_c16.flux, axis=0) > np.nanpercentile(np.nanmedian(tpf_c16.flux, axis=0), 70)\n", "\n", "# Create a new light curve for C16\n", "lc_c16 = tpf_c16.to_lightcurve('all').normalize().remove_nans().remove_outliers()\n", "lc_c16 = lc_c16.correct(windows=10).remove_outliers().fill_gaps()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 267, "width": 395 } }, "output_type": "display_data" } ], "source": [ "# Create the C16 periodogram\n", "p_c16_larger_aperture = lc_c16.periodogram()\n", "\n", "# Create subplots to plot into\n", "fig, ax = plt.subplots()\n", "p_larger_aperture.plot(ax=ax, c='k', alpha=0.5, label='C5 (Larger Aperture)')\n", "p_c16_larger_aperture.plot(ax=ax, c='C3', alpha=0.5, label='C16 (Larger Aperture)')\n", "\n", "ax.set_xlim(100, 400)\n", "ax.set_ylim(0, 50)\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like the signal to noise in the C16 data set is reduced for this target. This may be due to the target being closer to the edge of the detector. Perhaps better detrending parameters and aperture choices will increase the signal to noise!" ] } ], "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 }