{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to cut out Target Pixel Files from Kepler Superstamps or TESS FFIs?\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can use `lightkurve` to cut Target Pixel Files (TPFs) out of a series of standard astronomical images, such as [K2 Superstamp Mosaics](https://archive.stsci.edu/prepds/k2superstamp/) or TESS [Full-Frame-Images (FFIs)](https://heasarc.gsfc.nasa.gov/docs/tess/data-products.html#full-frame-images). This brief tutorial will demonstrate how." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:21.201828Z", "iopub.status.busy": "2025-05-21T14:02:21.197523Z", "iopub.status.idle": "2025-05-21T14:02:22.454446Z", "shell.execute_reply": "2025-05-21T14:02:22.454149Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import lightkurve as lk\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:22.456229Z", "iopub.status.busy": "2025-05-21T14:02:22.456033Z", "iopub.status.idle": "2025-05-21T14:02:36.650411Z", "shell.execute_reply": "2025-05-21T14:02:36.649670Z" } }, "outputs": [ { "data": { "text/html": [ "SearchResult containing 1 data products.\n", "\n", "\n", "\n", "\n", "\n", "
#missionyearauthorexptimetarget_namedistance
sarcsec
0TESS Sector 142019TESScut1426HAT-P-110.0
" ], "text/plain": [ "SearchResult containing 1 data products.\n", "\n", " # mission year author exptime target_name distance\n", " s arcsec \n", "--- -------------- ---- ------- ------- ----------- --------\n", " 0 TESS Sector 14 2019 TESScut 1426 HAT-P-11 0.0" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "search_result = lk.search_tesscut('HAT-P-11', sector=14)\n", "search_result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "TESS observed the Kepler prime field in Sector 14--- let's see if we can detect planet b. \n", "Lightkurve searches wrap a query to the [MAST](https://archive.stsci.edu) archive. Occassionally, these searches may time out (You would see a 504 HTTP Gateway Timeout error). You can increase the logging level to find out more information if the TESScut service is down." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:36.680096Z", "iopub.status.busy": "2025-05-21T14:02:36.679913Z", "iopub.status.idle": "2025-05-21T14:02:36.682893Z", "shell.execute_reply": "2025-05-21T14:02:36.681915Z" } }, "outputs": [], "source": [ "lk.log.setLevel('INFO')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can specify the `cutout_size`---in number of TESS pixels on a side---as an argument to [.download()](https://lightkurve.github.io/lightkurve/reference/api/lightkurve.SearchResult.download.html). The default is a meager 5 $\\times$ 5 square. Let's go with 20 pixels square." ] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:36.686907Z", "iopub.status.busy": "2025-05-21T14:02:36.686688Z", "iopub.status.idle": "2025-05-21T14:02:38.000338Z", "shell.execute_reply": "2025-05-21T14:02:37.999833Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "0% (4/1241) of the cadences will be ignored due to the quality mask (quality_bitmask=17087).\n" ] } ], "source": [ "tpf = search_result.download(cutout_size=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You have to make your own aperture mask for these custom TESS FFI cutouts. Many decisions go into the choice of aperture mask, including the significant blending of the large TESS pixels. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:38.002516Z", "iopub.status.busy": "2025-05-21T14:02:38.002333Z", "iopub.status.idle": "2025-05-21T14:02:38.038787Z", "shell.execute_reply": "2025-05-21T14:02:38.038219Z" } }, "outputs": [ { "data": { "text/plain": [ "10" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "target_mask = tpf.create_threshold_mask(threshold=15, reference_pixel='center')\n", "n_target_pixels = target_mask.sum()\n", "n_target_pixels" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:38.041408Z", "iopub.status.busy": "2025-05-21T14:02:38.041198Z", "iopub.status.idle": "2025-05-21T14:02:38.424517Z", "shell.execute_reply": "2025-05-21T14:02:38.424217Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tpf.plot(aperture_mask=target_mask, mask_color='k');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nice! We see our target mask centered on the ten brightest pixels in the center of the image. Let's see what the uncorrected \"Simple Aperture Photometry\" (**SAP**) lightcurve looks like. For now, we will make no attempt at local background subtraction." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:38.426034Z", "iopub.status.busy": "2025-05-21T14:02:38.425913Z", "iopub.status.idle": "2025-05-21T14:02:38.441454Z", "shell.execute_reply": "2025-05-21T14:02:38.441050Z" } }, "outputs": [], "source": [ "target_lc = tpf.to_lightcurve(aperture_mask=target_mask)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:38.443147Z", "iopub.status.busy": "2025-05-21T14:02:38.443021Z", "iopub.status.idle": "2025-05-21T14:02:38.650517Z", "shell.execute_reply": "2025-05-21T14:02:38.650185Z" } }, "outputs": [ { "data": { "image/png": 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Bjx49MHLkSHz11Vdobm6Gn58fDh8+jJaWFoNWq504cSL27duHt956C/Pnz4eLiwt27doFNputNU3pqFGjsH//fiYJS01N7XAGrY488MADePvtt/HRRx8xswOlpqaaVJe9cnNzQ3Z2NrZv3641foQQQgi5HYdOAoYPH47jx49j3759kMlkEIlEGDlyJObOnYvg4GCtsseOHYOXl1e7s6IAQFJSErZu3YrU1FRIpVKEhYVh5cqV6NevX6eVJa1cXFywbNkyfPHFF3jvvffg6+uLOXPm4MKFC+1OS9mWq6sr3nrrLWzcuBHvv/8+fHx88OCDD+Lo0aNaN+/BwcFITk7GDz/8gM8//xxNTU3w9vZGv379tLr1PP300/j666/x5ptvoqWlpVPWCeByuViyZInWOgHLli1jupAZ+hkJhUKsW7cOW7ZswebNm9Hc3Ax/f3+9XaCA1q48zz//PORyOd544w288847CA8Px/PPP48vv/wS3333HVxcXHDnnXeiR48eOHDgwG3/FoFAgLVr1+Kbb77Bp59+CpVKhejoaLz77rtarWEPPvggamtrsWPHDrBYLEyePBkRERH49ttvjf78hg8fjkWLFmHXrl3466+/0KdPH7z66qvMlLFdxSuvvIL8/Hxbh0EIIcTBsNSa6USI3ZDJZJgzZw527typ92lzQUEBkpOTkZSUpDXbCulYfX09nnjiCdxzzz2YO3eurcPpEpYuXQo2m4133nnH1qFYjL1fX9euXcOePXuwdOlSAK3dqt599128/fbbFqm/srISvr6+FqmLEEJI57vdfaSGQ7cEENKRn376CV5eXggICEBVVRX27t0LlUqFiRMn2jo0h5SWloaKigqEhYWhubkZx48fx+XLl7F8+XJbh+ZUTp48qTXTlLu7OzMrkoZarUZjY6PRXdZUKhUeffRRfPnll1pjYgghhHQ9lASQLovNZmPXrl2QSCTgcDjo06cP3n77bRqMbSI3NzekpqaipKQEcrkcISEhePnll6kveierrq7WGvdx65gMlUqFw4cP4+LFi3j11VeNqvvq1auIiorCa6+9hm+++cbkaXIJIYTYP/qGJ13WrFmzMGvWLFuH0WXExcUhLi7O1mE4vZqamg7XOyguLsbrr7/e7iQIbanVauzZswf33XcfgNaxUwsWLMDp06dx5swZralnCSGEdC0OPUUoIYQ4G80aAbfSDO/SLCZnyPoBWVlZWLt2LfP65s2biI6OxsSJE3HkyBELRUwIIcQeUUuAHUtKStKazhIAEhISMGjQIACtc4UTQixLc13deu3Zk1tjEwqFqK2thZeXFyQSCZYtW4a///77tvWcP38eAoEATU1N4PP5UKvVYLPZCAkJMWhdCUIIcRQymQyLFi2iro5t0Kdgx5KTk/UO7JPJZACA7OxsndVpCSHmyc7OBgBmZWZ7o29Ct4CAAJSVlcHLywtVVVXM7D4qlarDZEYikWDQoEEoLCzE4cOHtQYY23MSRAghxqqqqsKlS5dQVlaGbt262Tocu0BJgAMSCAQYMWIEfv31VwBAz549weFwbBwVIY5NqVQiOzsbv/76K0aMGGH1xeBMkZmZqXfWHk0SEBkZiaqqKvTp0wfdu3dHXl4es66EPlVVVYiNjUVeXh42bdqEPn36MO+5ubmhoaEB7u7uVvlbCCGkM9XW1oLNZqOuro6SgP+PkgAHdf/99wMAkwgQQixjxIgRzPVlb9LT03HnnXfqbA8ICEBJSQkAICcnB7Nnz0ZMTAwuXbrUbhKwe/duHD58GBs2bMC2bdsAAB4eHsz7/v7+qKiooCSAENIl1NXVITQ01KDxUs6CkgAHxWazMWfOHEyfPh3V1dVQqVS2DokQh8Zms+Ht7W2XLQAaN2/e1DvjVWBgIM6fPw+VSoX6+np4eXmhV69eHT4k2Lt3L5qamtCzZ08cP34cS5cuRVpaGvO+r68vKisrqcshIaRLqK2tRWhoKL7//nsMGTKExgWAkgCHJxAI7PqmhRBiObW1tRAKhTrbAwICsGfPHoSGhiIgIAAAEBwczLQO6BMQEIDRo0fDy8sL27ZtQ01NDS5evMi87+fnR4ODCSFdhqYlYPv27aiurqY1g0BThBJCiEP48ssv4erqqvc9Dw8P1NXV4csvv0T37t0BAHw+H83NzXrLNzY2gs/nY9GiRWCxWOjTpw98fX21ph7VdAcihJCuoK6uDkFBQQCAyspKG0djHygJIIQQB7Bz504kJibqfY/FYmHp0qUYPHgwQkNDme36ZhICWn8ANTMIaYSHh+OZZ55hXvv5+dEPJSGky6ioqEBkZCSA1pnRCHUHIoQQu9fc3IzBgwejb9++7ZaZPXs2Bg8erNXE7eLiArlcDhcXF62yEokEPj4+WttYLJbWwGBfX1/qDkQI6TLKy8sRGxuL999/nx5w/H/UEkAIIXauqKhI79SgtwoPD9e6kff29mZWEG6rvr5e79iCtvh8PlpaWowPlhBC7FDbxRCzsrJsHY5doCSAEELs3PXr1xEREWH0fmKxGFVVVTrbaf5/QogzkUgkzIOPXr16oaCgwMYR2QdKAgghxM5lZWUhKirK6P3aSwKkUiklAYSQLi8jIwMAcOrUKQwbNozZ7urqSlOrg5IAQgixe3l5eSbN199RS0DbbkOEENIVrV69GkqlEv/++y9GjBjBbHd1dW139jRnQgOD7VhSUhLYbO08LSEhAQkJCTaKiBBiCyqVyqSFbfz9/XH69Gmd7cZ0B1Kr1WCxWEYfmxBCbK20tBSVlZWoqqrSmhHNzc0NjY2NcHNzs2F0tkdJgB1LTk6mhcAIcXJqtbrdqT5vJyQkBHv37tXZbmgS4O7uDplMRl2HCCEOp7CwEDKZDCUlJeBwOFrvaZIAZ0fdgQghxI7V1NTA29vbpH29vb2Rn5+v82NnaBLg4eEBqVRq0rEJIcSWZs6cCQC4efOmzgNVSgJaURJACCF2rKSkBIGBgSbty2KxUFFRgT/++IPZplAokJOTY3ASUF9fb9KxCSHE1mJiYnD9+nWdKZH5fD4lAaAkgBBC7FpJSQmz1L0pVq5cqXUjf+3aNfD5fIPGGHh7e+sdWEwIIdakUCjMrmPMmDFYt24drl27Bk9PT633qCWgFSUBhBBix8xNAm5dMKympgZ33nmnQfsGBQWhpKTE5GMTQogpXnjhBYvU4+vri5s3b+q0BFAS0IqSAEIIsaKWlhYolUqT9y8tLTUrCfDy8tJKAmprayESiQzaNygoCKWlpSYfmxBCjNXU1ITz58+bPCGCpg4+nw8Oh6N3SmRKAlpREkAIIVb06aef4s8//zR5/7KyMgQEBJi8v0gkQm1tLfPa2CSAWgIIIZ2psrISzc3NkEgkJtfR9nsuNjZWp3sRn89HWlqaWXF2BZQEEEKIFZ06dQrHjh0zeWEahUIBFxcXk4/P5XK1VsY0Jgm4NYEghBBrq6yshKenJ4qKikyuo6amhvme+/LLLzFr1iyt9+Pi4pCZmWlWa0NXQEkAIYRYSUVFBYKCgpCSkoJz587ZOhwAxiUBtEgYIaSzVVRUYMCAAWYlARKJBD4+PgAANputs/CqUCjEoEGDUFlZaVasjo6SAEIIsZIpU6YgICAAb775pklTbUqlUosvGGhMEkAIIZ2toqICAwcORHFxscl1VFZWaq0QrE9oaCgKCgpMPkZXQEkAIYRYUUBAgM4MPYaqq6uDl5eXReORyWRGJRZcLhdyudyiMRBCSHsqKiowaNAgs1oCDEkCAgMDnX7ig9tPFE1sJikpSacJKyEhAQkJCTaKiBBiKLlcDj6fjz59+sDb2xuXLl0yug5DV/a9HS6XC4VCwawNYEw3H7FYDIlEYvKCZYQQYozKykr07t3bpAcnbeu4XRLg4eGBwsJCk4/RFVASYMeSk5Mt3hWAENI5qqurMXXqVMTHx6OkpASHDx/GQw89pDNVXUcslQR4eHhAKpWa1KogFApRX19PSQAhpFNIpVKjvif1qa6uhlgs7rCM5nvRmVF3IEIIsYKqqirmR8jb2xv5+fk4deqUUXVIpVKLJQGmjEkAAE9PT6f/oSSEdB6VSgUWiwUWi2Xy7D2adQI6QkkAJQGEEGIV1dXV8Pb2BtA6J/XOnTuNniHIEk/EgP/7sVMoFOBwOEbva2oCQQghxmhqagKPxwPQ2gpZV1dntWN5eHigoaHBavU7AkoCCCHECtpOUQcAPXv2RF5enlF16Fvp0hRBQUH4+++/UVNTA6FQaNS+1BJACOksubm5CAsLAwD4+/ujrKzMasdyd3d3+u82SgIIIcQK2rYEAK2DcY1dqt5SYwJmzJiBK1eu4MSJExg+fLhR+1JLACGks2RnZyMiIgIA0KNHD+Tn51vtWAKBADKZzGr1OwJKAgghxArajgnQ8Pf3h0QiMbgOSyUBGmlpaRg7dqxR+1BLACGks2RnZ6Nnz54AgLCwMOTm5hpdh0Kh0JlZUR9aDJGSAEIIsYqqqiqtlgCgtY9rbW0tAODQoUN4+eWX291frVbj8uXL6Natm0XiaWlpgVqtvu1guVvR4DlCSGfJy8tDjx49ALQmATdv3jS6DqlUanS3R2dFSQAhhFhBXV2dzg+RSCRCXl4eXnjhBZw/f77DH7j6+np4e3tbrCWgpKTEpIRCLBajoqLCIjEQQkhHWlpa4OrqCqD1AURzc7PRXXZKSkoQEBBgUFkWiwWFQmF0nF0FJQGEEGIltzZJC4VCrFy5Emq1Gj/99BOio6ORnZ2td9+qqqrbLnZjjFsHKhvK2jN0EEII0DozkCYB0OjRowfKy8uNqufmzZtMl6LbcfZVgykJIIQQK9A3v7Vmsa4PPvgAM2fOhLu7Ox544AG9+0skktsudmOMl156CRMmTDBpX5FIRIkAIcSqcnJyEB4errVNIBAYPY1n23EFt9OnTx/MmzcPAFBYWIg9e/YYdSxHRysGE0KIhanVar2DzjSJgYuLC1577TXI5fJ2u9qY+uS+PTNnzjR5Xy8vL73dmwghxBIqKiqwYcMGzJo1S2u7u7u70UlASUkJgoODDSo7c+ZMXL58GUVFRbh48SKOHDmiE0NXRi0BhBBiQQqFAjt37oSbm5vOe3FxcdixYwfz2sXFpd1ZLPTNLmQrNE0oIcSaMjMzcebMGZ0n+KYkAU1NTRAIBAaXHzx4MC5cuIDr16+jpKTEqboHUUuAHUtKStK5QUhISEBCQoKNIiKE3E5hYSHef/99ZoaLtlxdXdGrVy+tbWw2GwqFAlyu9texRCLB4MGDrRqroTw9PSkJIIRYTV5eHkaNGqXzvakvCTh06BCqqqqYbjzmiomJwfbt25Gbm4u3334b3377LVasWGGRuu0dJQF2LDk52ahslhBiezKZDA899BDuvfdeg8p7e3ujpqZGZxCwpbsDmUMoFFISQAixmoKCAixfvhwuLi5a2z08PHTWVvnjjz/Q3NysNwnQNxbrdkJCQnDq1CmMHDkSffv2xeeff250HY6KugMRQogFyWQy+Pn5ISwszKDyYrFY7wJiNTU1EIlEFo7ONNQdiBBiTeXl5fD399fZfmtLgFqthlKpBIfDwaVLl3TKm7LAIovFQnBwMLOauoeHh9OsJExJACGEWJBMJjOqBS8kJASFhYU629VqNTgcjiVDMxmtGkwIsSa1Wq13fNStSUB9fT2EQiEqKyvx/fff65SXSqXw9PQ0+vhPP/00hgwZAgDo3r078vPzja7DEVESQAghFmRsEuAIPzhisRgFBQW2DoMQ0gU1NTW1u5K5WCxGWVkZ81rTYuDu7q63BVUqlcLDw8PoGPr27cvEEBoaavffyZZCSQAhhFiQVCo1qjm6R48eOj84pvRrtabw8HAUFRU59cqahBDLa2lpwejRo3UmTNDQTE+s+e558MEH4efnB09PT71JQH19vUktAW35+fmhqqrKrDocBSUBhBBiITU1NXj33XeNagnw8vJCdXW11jZ7nJM/NDTU6JU7CSGkI5qn/H379m23TEBAAGpqatDS0gKgdQExoVCImpoanQcmprYEtCUSiVBbW2tWHY7CYWcHysjIwPLly/W+t379ekRFRWltu3HjBrZv344rV66gpaUFgYGBuPvuuzFjxgyT6pTL5fjxxx+RmpoKqVSKsLAwzJ8/H7GxsTr7GlOWEOK4NH37jUkCWCwWWlpakJ+fj+7duwOw/GrBlhAQEICXX34Z27dvt3UohJAuoqSkBFOnTkVcXFy7Zby8vPDaa69hyZIleOihhzB9+nTk5OQgJCQEDQ0NWjf9lmgJEAqFlAQ4iunTp6N3795a24KCgrRenz17FqtXr0ZERATmzJkDNzc3lJSU6G1KMrTOjz76CGlpaZgxYwaCg4Nx5MgRrFq1CmvWrEFMTIzJZQkhjkuzyEx7/Vvbc/78eTz88MM4fvw4gNaFwuxlelANDw8PXL9+HTU1NfDy8rJ1OISQLqC0tBRjx47t8DvTy8sLZ86cwb///ovQ0FCwWCw899xz2LBhAyQSiVYSIJVKERoaalZMIpEIdXV1ZtXhKBw+CYiJiUF8fHy778tkMnz44YcYOnQoli5d2u7qnMbUee3aNZw4cQKJiYnM8tITJkzA4sWLsXnzZqxfv96ksoQQx1ZcXIwBAwbA29vbqP3+/PNPvP7668zryspKu0sC+vXrh4CAAOTn51MSQAixiLKyMowcObLDMprvm59++gnvv/8+gNZFFn18fCCRSLQWGLNES4BAIDB6lWJH1SXGBMhkMiiVSr3vHT9+HDU1NXj44YfBZrPR1NQElUplVp1paWlgs9mYPHkys43H42HSpEnIzMxERUWFSWUJIY6tpKQEa9asMfom2d3dXatvqz0+bY+KisKSJUtw+fJlW4dCCOkiDGn19PLyQmhoKMRiMcLDw5ntmiSgLUuMCWCxWGbt70gcviVgw4YNaGxsBJvNRkxMDBITE7W68pw/fx4CgQASiQRr1qxBUVER+Hw+xo8fj4ULF4LH4xldZ3Z2Nrp166bT77dPnz4AgJycHPj5+Rld9laGLlbh4uKis8oeIaTzlZeXt3s9G8PUua6tbfTo0XjhhRcwd+5cW4dCCOkCqqurb9tyGhAQgKlTp+KJJ57Q2u7j44Pc3FytbZZIApyJwyYBXC4Xo0aNwpAhQyAUCpGfn4+9e/di6dKlWLduHSIiIgC0Ns8rlUq8/fbbmDRpEh555BFkZGTgwIEDaGhowJIlS4yus6qqSu8/Ws22tpmpMWVvlZiYaNBnMXfuXL3LZxNCOpdKpQKXa/7XqiWatK2By+VCIBCgpaVF7wMUQggxRnNz823HUPXq1Yu5/2rL19cXZ86cYV6XlZWhrKyMkgAjOGwSEB0djejoaOb18OHDER8fj+eeew5btmzBqlWrALQuQtHc3IwpU6bgqaeeAgCMGjUKCoUChw4dwkMPPYTg4GCj6mxpadH75F3zo6iZxsrYsrfatGmTQbOMUCsAIbZn7tz+7u7uqK2thUgkstskAGhd4bioqEirWZ4QQqxJXxcdsVisNZ//jh07cObMGbi6upp9PDabDaVSaTertltLlxgToBEcHIwRI0bg4sWLTH9+zc32HXfcoVV27NixAIDMzEyT6pTL5TplNTf0bZ+QGVP2VgKBwKD/URJAiO1pbuBNNXDgQJw7dw5SqRQlJSV2+zQrJCTEaVbTJITYL5FIhIqKCmatgaysLHh4eFikT79QKER9fb3Z9di7LpUEAK3NQwqFAs3NzQDAzLV96yA7zY+1VCo1qc5bF/cBwGxrO8jFmLKEEMdVUlKiM5WwMQYMGIDLly/j4MGDOH36tN12t/Hz8+uwGyMhhBiisbHR6OmU2+JwOMjMzMS2bdugVqtRVFRksYcnzrJWQJdLAkpLS8Hj8Zh/WJqlqG/90dI0IRmyKuetdYaHh6OoqEhn4G5WVhbzvoYxZQkhjsvcJEBzc52Tk2PBqCxPLBZTEkAIMZu535lA6/jK/fv3Y8uWLQgODrZoEuAMawU4bBKgL0PLycnBqVOnEBsby6wHMHr0aACt83C39ccff4DD4aB///5G1xkfHw+VSoVDhw4x5eRyOVJSUhAZGak1O4gxZQkhjqu0tBSBgYEm769Zqr6kpMSCUVmej4+PVj9cQggxRXFxMTMm01RisRgtLS345ZdfEBkZqXVPZw7N93FX57ADg9etWwcej4eoqCh4eXkhPz8fhw8fhqurKx599FGmXEREBCZNmoQ///wTSqUS/fr1Q0ZGBtLS0nD//fdrdccxtM7IyEjEx8djy5YtqK2tRVBQEI4ePYry8nI8//zzWnEaU5YQ4rjMndufw+Ewa5i0nfHC3lBLACHEEsx9cAIATzzxBLKysvDZZ5/Bzc0NL774okVioyTAzg0fPhzHjx/Hvn37IJPJIBKJMHLkSMydO1cns1y0aBH8/PyQkpKC9PR0+Pn5YeHChbjnnntMrjMpKQlbt25FamoqpFIpwsLCsHLlSvTr108nVmPKEkIcz7///ou0tDRmVfCuzNXVtcNZzQghxBASicTs+6DBgwdj8ODBiI2NNWg2RUMJhUJkZ2dbrD575bBJwIwZMzBjxgyDynK5XMydO/e2C9wYUyePx8OCBQuwYMECi5YlhDiey5cvIysry6zZgYDWaensdUAwIYS0pVAooFarTZ6hUCKRMJO3mKvt9O6WIBKJaEwAIYSQ26usrISLi4tZM10AQM+ePeHr62uhqKzH09PTKZrKCSHte/LJJ/HVV1+ZvH91dbXFkgBLE4lEqKmpsXUYVkdJACGEmKmyshJCodDs+akjIyMdYtrgnj174saNG7YOgxBiIyqVClKpFA0NDSbXoVAoLLLCujU4y+xAJn/6R48etVgQEyZMsFhdhBDS2Zqbm+Ht7W12PRMmTHCI/vbDhw9HamoqBg8ebOtQCCE2sGXLFkyYMAHFxcUm12HuKuvWJBAIdKZ274pMTgI++ugji6zKBlASQAhxbGw22yJjfthsttldijpDVFQUPv/8c1uHQQixkUuXLuGdd97BsmXLTNq/rq4Onp6eFo7Kcix1f2vvzGqHCQsLw4gRI0zePz09Hbm5ueaE0KUlJSUxaxNoJCQkICEhwUYREULac9ddd9k6hE7DZrPh6+uLiooKWuuEECekVCrB4/GYaY2NlZmZicjISAtHRYxlVhLQs2fP286405GysjJKAjqQnJxs0SmvCCGWZ89N2tYUFBSEyspKSgIIIUYrKipC9+7dbR2G0zN5YLBAIICrq6tZB+fxeHBzczOrDkIIsSWZTAZ3d3dbh9Hp+Hw+GhsbbR0GIaSTKRQKcDgcs+qoqKiw+5nQ2Gw2FAqFrcOwKpNbAnbs2GH2wRctWoRFixaZXQ8hhNhKfX29XfdttRY3NzdKAghxQlKplPnOU6vVUKvVRvehd4SuhEKhEFKp1KyV4O0dTRFKCCFmsPcBbtZCSQAhzqmxsZGZwKBbt27Iy8szuo6qqiqLzKhmTUKhsMuvh0JJACGEmKG+vh5CodDWYXQ6Pp+PpqYmW4dBCOlkjY2NTFfuoUOH4syZM0bXoVKp7HaNAA2RSERJACGEdGVqtRqLFy82+Ya2traWkgBCiNNoampikoC4uDj8999/No7IOpxhwTCLJwH//fcfFi5caOlqCSHEKsrLy5Genm7yE5/y8nL4+/tbOCr7R92BCHFObVsChEKhWasG2zNqCTBBU1MTKioqLF0tIYRYRXNzMwCgsrISpaWlRu9fWlqKwMBAS4dl9ygJIMQ5tR0TABjfKqhUKh1iMS5nSAIM7pC1detWg8oVFhaaHAwhhHQ2TRJw8OBB8Pl8LF682Kj9KQkghDiTpqYmrSQgKCgIpaWlCAsLM2j/trML2TNn6A5kcBKwa9cuuLu733bxqpaWFrODIoSQztLc3AwvLy+cPXsWPXr0MGrf8vJy1NTUaP0gOgsaE0CIc2o7JgBoTQJKSkoMTgIcZTIFagloIzAwEDExMXjhhRc6LJeWloZ169aZHRghhHSG5uZmiMViXLt2zejFa65cuYLJkydbKTL7Ri0BhDinxsZGrek9g4ODUVxcbPD+jjKtMiUBbURFReHq1asGlVWr1SYHRP5PUlIS2GztYRsJCQlISEiwUUSEdD0tLS3MYjC3Xm+3U1lZiaCgICtEZf88PT27fFM5IURX24HBQGsSkJGRYfD+5eXl8PHxsUZoFuUMDzoMTgJmzJiBK1eu3LZcv379sGbNGrOCIq2Sk5Nv2/2KEGK6O++8E6+//jrEYjEAwMXFBXK5HC4uLgbtX15ejgEDBlgzRLvF4XDogQ8hTuLChQtQqVSIjY3VSQICAwONagk4ffo07r//fmuEaVGOMHjZXAY/9urVqxdmzJhx23IikQj9+/c3KyhCCLGmNWvWQK1Wo7a2Fk1NTcxNv4+PD1asWMGUu90Yp4qKCvj5+Vk1VkIIsbVvv/0W33//PYDW70Uej8e85+HhAZlMZnBdhYWFRo+/ItZBi4URQpxKbm4ufvnlF6aZNzs7G35+foiLi4OPjw+OHj3KlH3vvfdQWlqK+vp6vXXV1NRAJBJ1Stz2iloDCOn62Gw282RcoVAYtNrvjRs3cP78eZ3tLBbLKZ6yOwKzk4CKigqtJ2eEEGLPjh07hoiICOTn5wMASkpKMHjwYHz11Vc6A4MrKytx6NAhjB8/Xm9dKpXK6HEEXU1qaqqtQyCEWNGtA3kNTQL+/vtv/Pvvv1rbamtrHWJQsLMw+9erubkZly5dskQshBBidRcuXMDUqVORm5sLoPVpvqurKwBgwIABzCBhAKiurmb6ut46QIxaAYBnn30Wf/zxh63DIIRY0Ysvvqg1kLe9JEDTKlhcXIxLly5h7969KCkp0Spz5coV9O7d27oBE4M59yMsQohT6t69O/Ly8uDm5qaVBERERGiNaaqqqkJOTg5GjRqFixcvatVRVlbmtDMDaURERDCLrRFCuiZ3d3c8/fTTzGuFQqEzeQKPx8PFixchkUjw0ksvYePGjXjmmWdQU1OjVe7QoUOYOnVqZ4RNDEBJACHE6QQGBiI3NxcikQjV1dVag9w01Go1qqurkZ2djTFjxuDatWta7zc0NMDDw6OzQrZL1K+XkK6Py+VqLYioryXAw8MDjz/+OLZu3YoxY8bgs88+w+TJk8HlcnH9+nWmXF1dndHrsRDroSSAEOJ0goODkZeXB5FIpNUSoKFWq9HY2MgsFhMVFYWqqiqtMlKp1OmTAEJI1yaVSuHu7q61rb0kAGgdY9WtWzfmAcELL7yAXbt2dU6wxGiUBBBCnI6npycqKyvh5eWFpqYmrR85LpcLpVKJqqoqdOvWDUBr96Fbk4CGhgadH0dnxOVyoVAobB0GIcQKysrK4O/vz7xWq9WQy+U6SYBKpQIAZGRkMN+bABAaGoqysrLOCdZKuvIMaJQEEEKchuYJFovFglwuZwYBe3t7M2W4XC7kcjmqq6sRFxeHr776Su/quNQS0ErTWkII6Xrq6uqY70nNAxJ9LQE1NTWIjY1FWVmZzhoAnp6eqK+vx7vvvmvUomL2QPM3d1WUBBBCnEZDQwOzCndLSwszu0/bHzQejwe5XI6qqioEBgYiLi5OZxrQpqYmHDlyhFoCAHh5eWkN/tu6dSuamppw9uxZ2wVFCLGI2tpaCIVCAP/X6qdWq3W+E19//XWsXbsWABAQEKD1XnR0NNLT0/HLL7/g5s2bnRO4hbi6uuqd/KCmpgalpaU2iMiybj/RqwG6clMJIaTrkMlkzI27XC7XO8Wni4sLWlpaUF1drdVCALR+8Xt5eaGgoABnzpyhJABgxlUArZ/PRx99BH9/fxw4cABxcXG2DY4QYpa6ujqthyVyuVxvOR6PB29vb7z44os6791999146qmn8MADD2DAgAHWDNfieDweWlpadL7rP/30U+Tk5ODbb7+1UWSWYXYS4O3tjWeeecYSsZBbJCUl6WTbCQkJSEhIsFFEhDi2tv34XVxcwOFwdMq4uLhAoVCguroa4eHhzPb77rsP+/fvxyOPPML0caXuQNotAfn5+ejZsye+//57SKVS2wZGCDFbXV0d08df893YHg6Hg/nz5+ts9/Pzg1gsxqBBgzBhwgSrxWoN+loCrl+/jtzcXKaFxJGZnQS4u7tjypQploiF3CI5OZnpukAIMV9paSn8/PwAAHw+HxwOBxs3btQq4+LiArlcjvr6eq2b/KFDh2LPnj14+OGHcfToUYSFhTn9YmFAaxJQXl6OhoYG5Ofn495778UHH3yA4cOHo6mpSWtqQUJI58rIyEB0dLRBK/zqU1tba1BLwO3Mnz8f/fr1M2lfW1Iqlbh58yYCAwOZbSkpKXjooYewf/9+G0ZmGTQmgBDiNK5evYro6GgArUlAc3Mzhg0bplVG0x1IqVRqLYjj6uoKtVqNhoYG7N+/H6tXr4abm1unxm+PvL29UVlZibFjx+LUqVPo378/0tPT0bNnT1RUVNg6PEKcllqtRmJiIh555BGtufqNUVdXxzzxvl1LQEfGjRvnkOsDjB07Fl988YXWtrKyMsTGxoLD4Tj8zGgWSwKqq6tx6dIlVFdXa20vKSnBunXr8Oyzz+LNN99EZmampQ5JCCFGuXbtGrNk/dSpU9GnTx+dMpqBwQqFQm93IalUijvvvBORkZFWj9cR9OnTB5mZmeBwOPjjjz/g5+cHLpcLX19fSCQSW4dHiNPKzMzElClT8MADD6CoqMikOiQSCTM2yhmnA46Pj4ePj4/WtpqaGohEIojFYp2pox2NxZKAn376CStWrIBMJmO2yWQyvPrqq0hLS0NBQQHOnj2L1157zeGmiCKEOL7MzEzU19cz3VOeffZZvf1TNU3e+qbB43A4qKmpQY8ePXTG6zgrzWrLvXv3hlKpZH4wfXx8UFlZacvQCHFaKpUKzz77LAICAsy6WVUoFEyLqKarpLNhsVjMOghAawsLi8XSmRnNEVnsV+zSpUsIDQ3VWiQiJSUFNTU1uOOOO/DFF1/g8ccfR0tLC/bu3WupwxJCiEEefvhh5Obm3rac5odOqVTqJAFCoRCFhYU0IPgW4eHh6N+/P/z9/ZnPzNfXl5IAQmwkPz8fzc3NCAwMNDkJUCqVWg87NC0BmtWAnYWPjw/z+ZWUlDDjyoRCoc76MY7GYkmARCLRGjgBAGfOnAGHw8HChQsRHByMe+65B+Hh4bh06ZKlDksIIQYZM2aMQQO5OuoOJBKJUFRUBE9PT2uF6ZB69uyJgIAAPPXUU8w26g5EiO1kZGTgueeew7hx4+Dj42PStVhZWanVj9+cgcGOrO3N/oULFxAbGwug9feAkoD/r7GxEa6ursxrpVKJzMxMREREaM2gERISQj8MhJBOp1arma4rHemoO5BIJKKWAD0mTJiA6dOnY8aMGcw26g5EiG20tLTg4MGDzGBcHx8fZlpjY9TU1EAsFjOvnXFMANCaBNTX1wNo7eauGShNLQFtiMViFBYWMq+vXLmCpqYm9O/fX6ucviZ2QgixF+7u7pBKpXqTAKFQiOLiYmoJuIVAINAZPCcSiVBbW2ujiAhxXqdPn4ZCoWB6Z/B4PLi4uBh9PWoWR9Rw1iTAw8ODSQIaGxuZcWVd4TvOYklAVFQUcnNzsW/fPuTm5mLr1q1gsVg60+8VFBTo/FgQQoi9CAoKQmlpqd4HFgKBABUVFdQSYAA2m02ryRPSybZs2YIzZ87giSee0No+fvx4pKamGlWXZhYcDXOmCHVknp6eWkmAZmpoagloY/bs2eByufjuu+/wwgsv4OrVq+jXrx8zJzfQOrdqQUGB3mn5CCHEWoy5GQ0ODkZRUZHeMQHu7u4oKyujJIAQYndUKhV2796Nn376SWu1c6B1TNQ///xjVH3UEtBKkwRo1onRtASIxWKUl5fbODrzWKxfTo8ePfDee+/h119/RV1dHSIiIjBr1iytMmfPnkV4eDhGjBhhqcMSQshtNTc3G7xybdtZbW6dBUMgEKChoYGSAAOx2WwolUq96y0QQixrzZo1ePrpp+Ht7a3T48Ld3R2NjY3M9JaGqKmpwYABA5jXrq6uaGpqsmjMjkAzJiAtLQ07d+7EfffdB6B1tfTa2lq9XUcdhUWj7tWrF1566aV2358yZQqmTJliyUN2aUlJSTpzkSckJCAhIcFGERHimG7evInu3bsbVLaj+f/d3d0BgJIAA3l7e6O6utohVwolxJE0Njaivr6+w/sDHx8f1NTUMIt/3c6tLQF+fn64fv26000R6uHhgbq6OpSUlKClpUVrpfiAgABUV1cz04Y6GsdMXZxEcnIyBAKBrcMgxC7k5OTg2LFjSExMNHrfCxcuYODAgWbHIBAI4OLiojUTGmmfZmpCSgIIsa7y8nIEBQV1WEYzkNXUJCA4OBh79uxxuus5KCgIxcXFzOxybVuVPTw8IJVKHTYJoCUvCSEOITU1FZs2bTJp3+vXryMyMtLsGAQCATw8PJzuSZipTJ2fnBBinIqKitveiLad6tIQTU1NWje8AQEBOH/+PAICAkyO0xG5urqipaWF6SaqLwlwVJQEEEIcQklJCaKionR+xBoaGtDY2NjhvtXV1VrzXZvK3d2dpgc1Aq0aTEjnKC8vNygJMHZKy7YPPHg8HiQSCfz9/U2K0ZGJxWJkZWXB09NTa4wTJQGEENIJKisrcccdd2Dfvn1a2w8ePIgjR47cdn9jnt6zWCy9Mwrx+XxmoRhye9QSQEjnKC0tve0Ten1TWl64cAFnzpwx+DiJiYno0aOHSTE6sieffBJPP/20zmdMSQAhhFhZTk4OZDIZHnroIZw+fRpJSUlobm4GAEgkEuzatQsZGRl695VKpUaPreHz+Uz9bbFYLDz00EPG/wFOytfXl5IAQjrBtWvX0Lt37w7LCIVCrFy5ElOmTIFCoYBarcaBAwfw4Ycf6pRtb1rlZ599VmcRWGcQFBSEO+64A3FxcVrb264h4IjMTgIqKiqwYsUKS8RCCCE6HnjgAbz77rt4/PHHwWKxsHLlSoSGhiI1NRXnz5/HjRs3cOXKFWRnZ+vdv6CgwOgnVwKBADKZTO97kyZNMvpvcFY+Pj7UHYiQTiCTyZjZy9qjmdBgyJAhSE5OxqRJk3Dy5Em9s51lZmaiW7duVonVkf3vf//Teu3oLQFmzw7U3NyMS5cuWSIWo2RkZGD58uV631u/fj2ioqK0tt24cQPbt2/HlStX0NLSgsDAQNx9992YMWOGVjm5XI4ff/wRqampkEqlCAsLw/z58xEbG2tSOWPLEkK0ubu747///sPbb78NoPXGMiQkBOvWrYO7uztKSkoAoN1FW/Lz8xEaGmrUMd3c3NpNAojh2mtRIYRoS09Px/Xr1/Hwww8bva9arTZoLY5Bgwbh6NGjOHv2LN58803m5lXfAq5Hjx7FtGnTjI7F2Th6EuDw3YGmT5+OpKQkrf/dOk3W2bNnsWTJEtTW1mLOnDl48sknMXToUL3N1B999BF++eUXjB07Fk888QTYbDZWrVqFy5cvm1TO2LKEEG1eXl4YNmyY1rR0AQEB6NGjB/bv389s+/LLL3HlyhWd/fPz8w1eI0Cjo5YAQgixtJSUFBw/ftykfW+dxac9LBYLQqEQAwYMQFNTEx5//HFmUbFbu/9IJBKnmwXIFI6eBDj8OgExMTGIj49v932ZTIYPP/wQQ4cOxdKlSztcCOjatWs4ceIEEhMTmdWOJ0yYgMWLF2Pz5s1Yv369UeWMLUsI0VZQUAA+n4/k5GStgb3BwcHo1asXWCwW0tPTkZCQAIlEgn/++Qd9+/bVqiM/Px8PPPCAUcfVrAxMCCHWplKpUFpaCn9/f0ilUqMXI6yrqzNqwgKxWIxHHnkEd911F1JTU+Hu7q6zEnpNTQ1EIpFRcTgjDw8P5x4TYA9kMhmUSqXe944fP46amho8/PDDYLPZaGpqgkql0ls2LS0NbDYbkydPZrbxeDxMmjQJmZmZqKioMKqcsWUJIf9HqVRi/vz5qKio0JnZp1evXnjllVcAAFwuF3379sXx48eRlZWlU099fb3RP2Zisdihn+7YEz6fT60qhHTgjz/+QGxsLHr37o3r168bvX99fb3Rs5YtWrQIvr6+EAqFEIvFqKqq0npfrVZ3+NCUtHJ3d3fo7zeHbwnYsGEDGhsbwWazERMTg8TERK0R8ufPn4dAIIBEIsGaNWtQVFQEPp+P8ePHY+HChcwKcACQnZ2Nbt266cwkoukvl5OTAz8/P4PLGVMnIUTbhg0b8NJLL2H8+PF632+7au/69evB5XIhl8stcmxNEzkxn6+vL6qqqmj1c0La8fvvvyM5ORlZWVk4cOCA0eMF6+rqTFq/RCgUYv78+cjNzUVVVZXR3SYJwOFw2n2w7AgcNs3jcrkYNWoUnnjiCbz22mvMP+SlS5fi5s2bTLni4mIolUq8/fbbiI2NxbJlyzBx4kQcPHgQGzZs0KqzqqpK73Lamm2aMQSGljO27K1kMplB/7PUjQ8h9qSkpATTpk0z6Ck+l6v/eYZKpTLpaVbb8QfEPDRDECG6mpuboVKpUF5eDk9PT3C5XMTExDATHRjD2O5AGiwWC+PGjdNZz0OlUtGq6E7CYVsCoqOjER0dzbwePnw44uPj8dxzz2HLli1YtWoVgNYBM83NzZgyZQqeeuopAMCoUaOgUChw6NAhPPTQQwgODgYAtLS0wMXFRedYmtaClpYWo8oZW/ZWiYmJHXwC/2fu3LmYN2+eQWUJcRQKhaLdm3tDGTJtnj7UEmA5tGowIbp++OEHREVF4ffff9f6rdfMTGZMy5mpLQEaYrEYRUVFWvXReADnYJEkoL1FJTpbcHAwRowYgZMnT0KpVILD4TA323fccYdW2bFjx+LQoUPIzMxkkgAej6f3qbrmRl1Tl6HljC17q02bNhn0RaAvySDEWanVauYplqk/jl5eXggPD7d0aE5JLBajoKDA1mEQYleuXbuGiooKCIVCrS7MISEhKCoquu3CX22VlZVh5MiRJsfi4+OD3377jZlAQSKR0IMQJ2F2dyBvb28888wzlojFInx9faFQKJi5qcViMYDWH/W2NFlu28F/YrEY1dXVOnVqtmkuCkPLGVv2VgKBwKD/URJAupojR46YdOPo4eGBmpoa5rWpzeQcDge7d+82ej+iSywWa50TQpzZjh07sHXrVuTn5+PAgQO4++67td7v3r07cnNztbbd7vopLi42a2GvsLAwZGZmMsehJMB49vIw3FhmJwHu7u6YMmWKJWKxiNLSUvB4PGbO3F69egHQ7XuvGQnf9gYhPDwcRUVFOiO9NTOOaJ4MGlrO2LKEkNYv0y1bthj1JEyjd+/eTFdAtVptdjM5MZ+Xl5feByGEOKNDhw7h5MmTCA0NhaenJwYMGKD1fnR0NK5evaq1beLEiWhqamq3zurqap0Hncbg8/mYOHEiysrKAFASYCxHXlfGYQcG19bW6mzLycnBqVOnEBsbywwGHD16NADgzz//1Cr7xx9/gMPhoH///sy2+Ph4qFQqHDp0iNkml8uRkpKCyMhIZhYfQ8sZW5YQ0vrUq2fPnli7dq3R+z788MNQKBSoqqrCli1bsHjxYpNaAojleHt760w/SIiz8vb2RmFhIYYPH44vvvhCZ6XfsLAwnZYAAHq3tWXuQN6AgABm1fXy8nKaHMEIjrxgmMUHBtfV1eHYsWO4du0a6urqMHDgQNx3330AgLy8PJSWlmLgwIEGrW7XkXXr1oHH4yEqKgpeXl7Iz8/H4cOH4erqikcffZQpFxERgUmTJuHPP/+EUqlEv379kJGRgbS0NNx///1a2W5kZCTi4+OxZcsW1NbWIigoCEePHkV5eTmef/55o8sZW5YQ0tq/1dSVKjWLhy1YsACzZs2CSqWiRNvGXF1daQYzQgBmKsk9e/aAxWLpJABA60xnbbuWFBYWAgBu3LiBqKgonfIKhUJvPcYKCAhAaWkpWlpaUFxcrNNNibRPs2CYI66wbNEk4O+//8Ynn3yCpqYmZnBe25tsiUSCd955By+++GK7c38bavjw4Th+/Dj27dsHmUwGkUiEkSNHYu7cucxAX41FixbBz88PKSkpSE9Ph5+fHxYuXIh77rlHp96kpCRs3boVqampkEqlCAsLw8qVK9GvXz+TyhlblhBnZ04SAADDhg2Dh4cHWlpa8Oyzz2L48OEWjI6YwlH7yxJiSdXV1RCLxQbPelZbW4uZM2diwIABSE1NxbRp03TKmPt9qREWFoYTJ07g7rvvRn19Pf73v/+ZXaez8PT0pJaAzMxMvP/++xAIBFiwYAH69u2Ll19+WavMwIEDIRAI8M8//5idBMyYMQMzZswwqCyXy8XcuXMxd+7c25bl8XhYsGABFixYYJFyxpYlxNmVlJSYtWjN+vXr8c4776C2thZz5syh+a7tAIvFssiUr4Q4soqKCqO62Xz88ccYM2ZMh91NiouLdR58miIkJATFxcWIiorC6dOnLdK64CwcuTuQxcYE7Nq1CywWC2+99RbuuecevYP6OBwOIiIikJeXZ6nDEkK6mEuXLqFv374m7+/m5obGxkbU1tbSXNd2IjQ0lOnWQIizMvSGncPhIDU1FRKJBHfeeSdEIhH4fD4aGxt1ymZkZOjtJmSKnj17IiwsDH///bdF6nMWlASgtSUgKiqKmY2nPd7e3jRTBCGkXXV1dWbNdMFms6FWqyGVSuHh4WG5wIjJevTogfz8fFuHQYhFmDrGpbCwECEhIbctJ5PJ8M4774DFYqF79+7w9fWFn58fKioqdMpmZGRg0KBBJsVzq1GjRiEyMtLsMZvOhpIAtC6BbchTN0f9oAgh1tfS0gJXV1eL1KVQKKgrkJ0QiUSoq6uzdRiEmG3fvn2YPXu2SfsWFBQYlARUVlaiuroaUVFRGDBgAB555JF2kwC1Wm2xbnYjRozAzJkzLVKXM6EkAK2LXt3uSY9arUZeXp5DjqAmhFhfWVkZAgMDza6npKSEprizIx4eHmhoaLB1GISYRaFQ4NChQ+jRo4fR+xYVFaGoqMig2cpCQkLQt29fTJo0CUBr62b37t111g+QyWRwc3MzOhZiWY6cBFhslFZcXBwOHjyIEydO4I477tBb5o8//kBlZSXGjh1rqcN2aUlJScx6BxoJCQlISEiwUUSEWFdJSYlFkoAbN25g4cKFFoiIWIK7uzslAcTh/ffffxg+fDjOnz9v9L4FBQUYM2aMzm+6Ph988IFOK+bo0aPx/PPPY/78+cy2oqIig1oWiHVREgBg9uzZOH78OD788ENkZ2djxIgRAICmpibcvHkT//zzD/bs2QORSKR3ak6iKzk5GQKBwNZhENJpSktLERQUZJG6LNVPlpiPkgDi6Pbt24fMzEw8+OCDuHLlCpqamnT6zmumRtenoqLC4DVL9NXB4XDg7++PyspKppUzLy8PoaGhRv4lxNIcOQmwWHcgX19fvPHGGxAKhdizZw9effVVsFgsnDx5EklJSdi1axfc3d3x2muvmTXojxDSdVmqJeC3336j7kB2hJIA4shUKhVWr16Nc+fOoUePHujTpw+ysrJ0yi1cuBD79u3TW0d5eTn8/f3NiqNv377IzMxkXufk5KBnz55m1UnMJxAIHPb7zaKTNkdFReHzzz/Hn3/+ifPnz6OsrAxqtRq+vr4YNGgQJk+eDHd3d0sekhDShViqJYDGHdkXSgKII9I8vORyuRg6dChWrFgBoLWV8bPPPsPGjRu1BuWyWCycOnVKb2+HyspKs5OAgIAAlJeXM6+zs7Mxb948s+ok5jOki5e9svjKLQKBAPfccw91+SGEGK2mpoZaCrsgR35SRpxTQ0MDDhw4gB49eqCwsBDjxo1j+t/HxsZi4MCBmDNnDp588kncfffdkEgkCAoKardbiEQigVgsNismf39/XLlyhXnd2NhID1aJWRw3fSGEOAy1Wo3KykqcPHnytmVpWs+uR7N2AyGOoLq6GomJibjjjjuwYsUKXLlyBWFhYcz7HA4HiYmJWLlyJdLT01FeXo777rsP4eHh7dYpl8vB4/HMisvf3x9lZWUAWmcqcuQn0MQ+mPwvqL6+Hk1NTWYdvKmpCfX19WbVQQixHyqVCunp6To3fO+//z5+/vlnHDlypMN9CSHE1vLy8pCdnY1u3bqBz+fDx8cHAwcO1CojEAgwcOBAVFVV4fjx41Cr1UyiYK3vMi8vL9TU1ABoXXiMBgXbDw8PDyZBcyQmJwHz58/HV199ZdbBv/jiC63prgghjik9PR3Tpk3D4cOH8frrryM9PV3r/StXruDrr79GSUlJu3VUVVXRYF5CiE2p1WosXLgQHA4H3bp1AwCsWrWq3W6KbDYbRUVFeOyxx9C/f38EBASgoKDAKrG1ffKfk5PTYcsD6Vzjxo3DP//8Y+swjGZyEqBWq6l5lxCCQ4cO4cMPP0R0dDT++OMPPPTQQzh69CjzvkqlYn5Am5ub262npKSEBvR2YVwuFwqFwtZhENKhxsZGAMCCBQuYm+yhQ4e2W57H46GgoABz5syBn58f+vTpg/vuu0/r37pKpbJ4N8fs7GyaGciOiMVi1NbW2joMo5k1MPjKlSvYsGGDWfsTQhzb/v37sWbNGqhUKsybNw+PP/44/vvvPwDAm2++CT8/P4SFhSE5ORlvvfUWhgwZgjNnzujUU1lZafA82sTxiMViVFVVmT1DCiHWJJVKMWvWLDz11FMGlffx8cHZs2eZNX0GDBgAoHVdAM1MZ9nZ2fD29rZIfHK5HIsWLYKvry/uv/9+i9RJzOeoawWYlQSUlJR02LxvCBoESIjjqqysREBAAHr16gWFQoFBgwYhLCwMXC4XEydOxODBg3H8+HE8++yzYLFYWLFiBSQSCRQKhdbUekDrOCOhUGijv4RYm4+PDyQSCSUBxK41NDQYNeOOWCzWmrazV69eWLx4McrKypgk4Oeff7ZY1+fy8nJkZ2djzJgx8PT0tEidxHyenp7OlQSsWbPGknEQQhzQpUuX0K9fPwCt3T2++eYbAK2D5mpqajBo0CC89NJL8PHxYcr4+fmhtraW2aZRV1eH4ODgzv0DSKfRJAGE2DNjkwA+n49x48ZpbQsICEBpaSnzWiKRWOy77ZtvvsHrr79ulS5GxHRO1xLQv39/S8ZBCHFAly5dwl133aWzXSQSIS4uDvfccw/TTK6h6RZyaxIglUrpyVYX5uPjg8rKSluHQUiHpFIpPDw8DC6v7wl/QEAAMjIymNdyuRyurq4WiU8oFKJ79+5IS0uzSH3EMhx1LRSLLxZGLCcpKUlnHuCEhAQkJCTYKCJCtN28eVPv4DSRSIRu3brpJADA/yUBt6qrq6MkoAvz9fXFzZs3bR0GIR0yNgnQJyAgACkpKRaKSFdkZCS2b99utfqJ8Rx1LRRKAuxYcnKy3psoQmxNqVTiwIEDAKDTtx9oTQLamwnI29tbb7cQGhPQtVF3IOIIGhoazP4e8vf3R0VFhYUi0hUTE8MMQCbEHLTcHCHEaJmZmfj444/bnaLOy8ur3dkwgoOD9U4o0NDQQElvFyYWiykJIHZPKpUaNSZAHxcXF2aKUKlUavHvtfDwcHz33XcWrZM4J0oCCCFGq6+vx8MPP4yHH35Y7/uDBg3CqFGj9L7XrVs3FBYW6mxXq9U63d9I1+Hq6oqWlhZbh0GcRENDA5qamozeT994JVMEBwfjs88+a7fLJOmaHK1LEP3iEkKM1tDQAF9f33ZX0QwMDERERITe98RiMaqrq60YHSHEmejrerhgwQJs3brV6LoqKiossl7JkiVLcP36ddy4cQO9evUyuz5i/9zd3R1ucDAlAYQQo5kzeI7FYsHV1VVrCj2lUkmtAE6ApjQk1rB06VKdbU1NTaivr9fZvmrVqnbr+eGHH/D7779bbIICV1dXXL58ud0HIqRr8fb2Rk1Nja3DMAr96hJCjGbsXNq3mjRpEk6dOsW8rq6uhlgstkRohBAnolAotMYYVVZW4uTJk+jTpw+ys7Oxbds2rbKHDh3CoUOHcPXqVZ26CgoKAFguWQ0MDMS5c+do/RMn4eXl5XCt3BZLAoxZOTg9Pd1ShyWE2IC5g+fCwsKQl5cHlUoFACgsLERgYKClwiN2ytH6yxL7d+sT//T0dDz//PPo0aMHAOD7779n/t0VFhZCLpfjhx9+wPnz53XqcnFxwezZsy0WW1BQEFxcXKiV00l4e3s7bxLwwgsv3HZe3ObmZnzyySdYu3atpQ5LCLGBhoYGs+bSDg0NxcGDB7F69WpkZ2fjyJEjGDt2rAUjJIQ4g8bGRtTV1QEAcnNzsX37dri5uSEuLg7PPvssBgwYwHQ9zMrKQnR0NLKyspCRkQGlUqlVV2VlJV588UWLxXb//ffTfP5ORCgU6u2CZs8stk6AWq3GJ598gtOnT2Px4sU6fequXbuG5ORkFBcXU9MYIQ7O3O5Arq6uGD16NPbt24exY8eioKCABs8RQozW2NiIxsZGVFVVMU/xv/32WwwcOBAAEBsbi5ycHLi5ueHbb7/F2rVrIRKJMHnyZEyYMAETJ05k6mppaQGfz7dYbBwOx2J1Efvn4eHhcKuiW6wl4KOPPkLPnj3xzz//4Pnnn2ea2tRqNXbu3IlXX30VxcXFuOuuu/DRRx9Z6rCEEBuora01e1XNhIQEKJVKFBcXWygqYu/YbLbO01dCTJWeng6ZTAYAyM/PB9A6Q0vb8UWBgYH43//+h/3792Pw4MGIiIiAr68vfvnlF5w5c0arPuquRszh6ekJqVRq6zCMYrEkoFu3bnj//fcxe/ZsVFVV4Y033sAXX3yBV199FT/++CM8PDzw2muvYfHixRbNtAkhna+5uRmurq5m1REWFoagoCDcvHmTvhOchJubW7srSRNirI0bN6KpqQksFgvFxcV4+umn0b17d62FCgMDA9HU1IQjR45g2rRpzPaQkBAUFRUxr5uamsz+TiPOzdPT03m7AwGtTV+PPPIIBg8ejNWrV+PgwYMAWhcOSkpKandOcaJfUlKSzoCihIQEJCQk2Cgi0pUoFApcvnyZaTbXOHbsGCIjIxEUFKR3v9raWohEIrOPLxKJ8MMPP+DRRx/F1KlTza6P2D8+n4/GxkZaGZpYRElJCaRSKcRiMUpKSuDh4YEnn3xSq6ticHAwAgMD9U7VGRgYiJKSEgQFBSE3NxdhYWGd/BeQrsTpkwCgta/w77//zjTRAUBeXh5ycnIQGxtr6cN1acnJyfRjSazm+vXr2LRpk073vBMnToDL5babBEgkEosspgO0TqnWo0cPxMfHW6Q+Yt/4fL5Jq7gSciu1Wo26ujqUl5fD398fJSUlGDRoEMaMGaNVzsvLC19//TVWrVql0+I4bNgw/Pvvv5g5cyYyMzPRu3fvzvwTSBfj4eHhcEmAReetysjIwHPPPYe//voL4eHh+PjjjzF79mzU1tbizTffxNdffw25XG7JQxJCjCSXyyGXy3Hp0iWUl5frvF9QUNDh4CaZTGbR5PSdd95Bv379LFYfsV+UBBBLaWhogFKpRGlpKfz9/VFcXNzuOKWgoCB88cUXOtuHDh2KM2fOoKqqCgcOHMCQIUOsHTbpwlxcXKBQKGwdhlEs1hKwefNm/PLLL1Cr1Zg1axbmz58PLpeLsLAwDB48GMnJyThw4AAuXryIl19+mZrdCLGRn376CT/++COGDBkCFxcXrfe+//57nDt3DiNHjmx3f3NnBrqVuQOMieOgJIBYSmFhIYDWLkH+/v74999/jf4u8fLywn///Yfnn38eTz/9NHVZJk7HYi0Be/bsgbe3N95++2089thj4HL/L7+IiYnBJ598grFjxyIvLw8vv/yypQ5LCDFSRUUFQkJC8Ndff8HPz0/ryUVhYSHeffddVFVVtbu/TCazaBJAnAclAc4rJycHJ0+eBACoVCrcf//9JtelUCgwf/58cDgcFBQUICQkpMOWgI6sXbsWX375JUaPHm1yPIQ4Kou1BIwePRqLFi1q9yIUCARISkrCsGHDsHHjRksdlhBioMzMTHC5XJSWlmLlypU4deoUpFIp3n33XSxbtgwcDgeVlZWIj4/HkSNH2q2noaGBxqoQk1AS4LxOnjyJmpoaqFQqDBo0CDk5OSbXlZmZCQBQKpXIyclB9+7doVAoTJqwYNCgQSbHQYg+arUaLBbL1mEYxGJJwP/+9z+Dyo0ePRrR0dGWOiwhxEAff/wxFAoFmpqaEBwcjJkzZwIAPvjgA+Tn56N79+5Qq9Xg8/mQSCTYsWMHHnzwQZ16Ghoa4OPj08nRk65AMzsQcT5XrlxBU1MTfvzxR9x9991m1VVeXo4VK1YgNDQUTz/9NEJDQwG0zvZDiC15eHigoaHBYbq5WnRgsKHoBoKQztXQ0ABPT08sXLgQ/fv313ovJiYGGzduxKJFixAcHAwWi4WKigr8/fffUKlUOnVZemAwcR7UEuC8ampqcPz4cYSFheHXX381qy6JRAJ/f3+EhYWBy+UiODgY3bt3d5inr6TrEovFHXantTc2SQIIIZ3r6tWr6Nu3L4YNG4YlS5ZovTds2DD4+Pigd+/ezJN/FouFc+fOYcWKFVpld+/ejd27d9OYAGISSgKc07Fjx5hxgq+//jpiYmLMqq+yshK+vr7w9vaGn58feDwe9uzZY4lQCTGLt7e3QyUBFusOdOnSJaPK05SAhHSejIwMnUXBNMRiMZYuXaq1zdPTE/n5+Th58iQUCgW4XC5UKhVSU1NRXl7uME2dxL5QEuB8Wlpa8MUXX+C1115DWloaevbsqbWib3uuX7+OiIgInQUzgdaWAF9fX3A4HNx7773WCJsQkwgEAofq8mixJGD58uVGNcXt27fPUocmhNzGxYsXMXfuXIPLe3h4oG/fvvD29oZMJoNQKGTGAqSnp2vN/kWIodzc3CgJcDKzZ89GcXEx+vXrh507d8LV1VUnCfjrr79w8eJFPPvss8y2uXPn4sCBA3r7+UskEmY6zwULFlg1fkKM4WgPOiz2Sz5+/Hi9SYBarUZlZSVu3rwJmUyG4cOHU1cCQjpRYWEhvLy8dFbL7IinpyceffRRHDt2DA0NDRAKhZBKpfDw8KAEgJiMz+ejubnZ1mGQThQSEsJMCx4REQGgdX7+tt8jZWVl2LRpEyZNmgQvLy/k5+cDAKqqqnSSALVaDZVKBQ6H00l/ASGGc3Nzc86WgJdeeqnD96VSKT755BPk5eXh/ffft9RhCSG38dtvv2H69OlG7ePp6QmhUAh3d3dMnz4dERERWL16NTw9Pa0UJXEGNDuQ83F1dcXYsWO1tg0ZMgRpaWkAWuf8l0gkcHV1RWpqKgIDA3H69Gk8++yz2Lt3Ly5evKg1S1lJSQmCg4M79W8gxFB8Ph91dXW2DsNgnTYw2MPDAy+99BJkMhm+//77zjqsQ0tKSsKiRYu0/vfbb7/ZOiziQNRqNS5cuIDY2Fij9rvrrrsQGhrK9P2vqqpCXl4ejQUgZnG0pnJno1KptNYIqa2tRWlpKYDWvv2WEh8fj27dugEAUlJS8PXXX8PPzw+FhYXIz8+HVCpFeHg49u7di8uXL2vtm5mZicjISIvFQoglOVqXx05t1+fz+ejTpw9OnTql1feP6JecnExTMRKzFBcXo0ePHkZPnTd06FAAgLu7O4YOHYo777wTp06dQt++fa0RJnESHh4eqK2ttXUYpB01NTX49ttv4e7ujri4OJw8eRJ5eXmYN28eJkyYgDNnzhhV33vvvXfbMpoHC3369MHVq1fxxx9/ICYmhvntu/WGKisrC+PHjzcqDkI6i6O1dnb6FKGNjY2QSqWdfVhCnNL169fRp08fk/f38PCAj48PfHx8UFBQQC0BxCyurq4WfaJMLGvjxo3Iy8vD559/juLiYlRUVODatWu4cOGC0XU1Nzdj9+7dHZ7vtiur9unTB0VFRfjtt9/w6aefIi4uDgcPHoRcLtfap7i4GCEhIUbHQ0hncLRxT52aBJw6dQqXL1+m/nyEdJLz58+btUK3h4cHxGIxPD09UVJSQkkAMZu7uzs9CLJDMpkMv/zyCwDg8uXLSElJwRdffIGioiJs3bpVbxeczZs3t1tffX09vLy80KNHD73vu7i4QC6XM0nC2LFj8fLLL8PX1xcCgQBcLhd+fn5M+crKSvzwww/IysqiyUWI3XK0lgCLdQfasGFDu+81NjaiuLgYeXl5UKvVNK8vIZ1ArVbj2rVreOGFF0yuIzAwEH369IGHhwdKS0sNmt+bkI6IxWLU1NRQQmln1q5dCwBYtmwZiouLsX37drS0tOCzzz4Dn8/HmjVrtFYLVyqV+P777zFlyhSIRCKd2cdqamowc+ZMLF68WO/xeDweWlpa0NLSgtWrV6N3797o3bu3Tjkul4umpia8/PLLCA4ORm1tLa0MTOyW044JaDuYqD1+fn6YO3cuJkyYYKnDEkLaIZFIEBwcbNYPZq9evdCrVy8UFhZCqVRSEkDM5mg/ks7gp59+wsGDBxEUFIRevXohNDQUf//9N0JCQuDr6wsA8PX1xdWrVzFo0CBwOBxUVFSgvr4eCQkJePPNNzFt2jStOuvq6iAUCts9ZtuWgI6e7Ht7e+P+++9HU1MTOBwOsz4AIfbIaVsC1qxZ0+57Li4u8Pb2RkBAgKUORwi5jcLCQov1ndVMDSoWiy1SH3FeNEOQ/Xn33Xfh5eWFZcuWISoqCjKZDElJSRg0aBBTZvr06fjyyy/x999/44UXXkBxcTHz3vHjxzFhwgStiSxulwRoWgKam5s7fLjg7e2NkpISsFgs8Hg8Gg9A7Jqjfb9ZLAno37+/paoySEZGBpYvX673vfXr1yMqKsqocsaWlcvl+PHHH5GamgqpVIqwsDDMnz9f71SMxpQlxFIKCwuZafjM5e7uDqFQCBcXF4vUR5yXo/1IdnVqtRpjxozBBx98ADa7dZigQCDQSgCA1oG7H3zwARYvXoyffvoJarUar7zyCvr164fHHnsM9913H0aMGMGUr62t7fCpPY/Hg1wuh1wuB4/Ha7ec5sGDWq2GWq2GSCQy/Y8lxMo4HA5UKpWtwzCYwy/9OX36dJ1+hEFBQSaXM7TsRx99hLS0NMyYMQPBwcE4cuQIVq1ahTVr1iAmJsbksoRYys2bN3Wa6E3F5XLpCRyxCEdbUdPRfPPNN1i4cKHB5RsaGuDu7s4kALcze/ZsvPvuu+BwOPjhhx/g5eWFwYMHo7S0FEqlElevXkVDQwPKysqYFYL1cXFxYVoCOkoCfH19MXLkSPzzzz8YO3YsHn30UYP/NkJIx0xOAoz5krkVi8XC119/bfL+bcXExCA+Pt5i5Qwpe+3aNZw4cQKJiYmYNWsWAGDChAlYvHgxNm/ejPXr15tUlhBLys3NbXdmDlM8//zzFquLOC9H6zPrKBoaGlBQUIBvv/0Wjz32GLhcw37eKysrmX7/hhg3bhyioqKwd+9e5in9kiVL8NVXX2Hfvn2orKxEYGAgfHx8MH/+/HbraTswuKMkYPz48Rg3bhykUinc3Nzg6upqcKyEkI6ZnASUl5dbMg6zyGQyuLq6gsPhWKTc7cqmpaWBzWZj8uTJzDYej4dJkyZhy5YtqKioYKY2M6YsIabQPMlrSyKRgMvlGnwjYIghQ4ZYrC7ivNzc3FBfX2/rMLqcpKQk/PfffwDA3Ii3tW3bNjz44INaT/xLS0uxYMECLFiwwKhjBQYG4plnnmFeh4aG4tixY0w3CFdXVzQ3N3e42GXbgcEdJQGa32AaEEyI5Zl8h7B//35LxmGyDRs2oLGxEWw2GzExMUhMTNQ7zZih5Qwpm52djW7duul8wWkWZcrJyWFu7I0peyuZTGbQZ+Di4kJ9tZ1MWloaRo0aBbVajaeffho//PCD1vt//vknZsyYYaPoCGkfn8+3q4dIXUF6ejr+++8/3HvvvQgODkZpaSmTBPzxxx8YOHAgkpOTERYWhlGjRjH75ebm4sknn8SDDz5o1vFdXV0xZswYHD9+HADw8ssv3/bhVtuWAHq6T4htOOyYAC6Xi1GjRmHIkCEQCoXIz8/H3r17sXTpUqxbt47pi2hoOWPKVlVV6Z3NQLNNIpEw24wpe6vExESDPou5c+di3rx5BpUljqm+vh5vv/02Vq5cCXd3d3z22Weoq6tDfX09rl27BrlcrpUIXrp0CVOmTLFhxIToR1OEWsZXX32F2NhY9O/fH1999RXef/99DBkyBOnp6fjnn39QVVWF0NBQfPHFFwgKCsLAgQNx8OBBrSRAIpHAx8fHIvG89957eOCBB5Cfn4/IyMjbziTWtiWAHmIRYhsOmwRER0drrYQ6fPhwxMfH47nnnsOWLVuwatUqo8oZU7a9Ly1Nk2bbZdKNKXurTZs2ddicqkFfoF3fvn370NjYiHPnzmH06NEoKSnBtm3bkJubCy6Xi/z8fK2Etr6+nmbRIHaJZgcyT2lpKTZu3IgTJ06AxWLBx8cHgwYNwrhx4wAAd955J3766Sds27YNSqUSAwcOxODBg9HY2IisrCymnurqamzfvh1JSUkWiUuzwm9zc7NB3z1tpwillgBCbMPkJGDFihWIi4vDfffdp/NeeXk53NzcmLnFO0twcDBGjBiBkydPQqlUttv339By7ZXVTG12K80Nfdv+jcaUvZVAIDAoCSBdT319PcrLy+Hq6oqQkBCcPXsWDz74IG7evInevXuje/fuuHz5Mh599FHk5+ejoqIC7u7uOHbsGGbPnk2JIbFbNDDYPOnp6UhJScGQIUNw8+ZNREdHIzg4mHlfM59+Y2MjXnvtNcycORNKpRItLS1Yu3YtKisrkZOTg7y8PGRmZlp07Y+XXnoJEonEoHF3miTgdlOEEuJouFwuFAqFRcfkWYvJEWZkZMDf31/ve0888QTuvPNOm8wm4uvrC4VCcdtBSYaW01dWLBbr7cZTXV0NAFrNq8aUJSQ/Px/Z2dk4ePAgioqKUF9fj2+//RZqtRpRUVE4fPgw/vzzT8yePRslJSV45pln8Oeff2Lr1q24evUqZDIZRowYYbH1AQixNOoOZLqCggK8/fbbmD59Ory8vJCTk4Pi4mKd6z0gIACDBw/G8OHDAbQOrnVzc4NIJMLkyZMxbtw4XL58GQCMmhnodtqupXM7mu5A1BJAuhpNa6eHh4etQ7ktwyYGNpJmUQ9bKC0tBY/HA5/Pt0g5fWXDw8NRVFSkM3BX09QaHh7ObDOmLCE///wzXnnlFRQUFOD69esoKirCP//8Ay6XC29vb1y8eBFxcXGYMWMG3nnnHXC5XAiFQvz7779YsmQJQkND8e233zIDzwmxN9QSYBqpVIqzZ88iLi4OkyZNQmRkJFgslt4kwN/fHzNmzNBZ32bu3LnYv38/li5digkTJuDUqVM2u1HRtAQ4yhNTQgzlSN9xVkkCOkNtba3OtpycHJw6dQqxsbHMNGiGljOmbHx8PFQqFQ4dOsSUk8vlSElJQWRkpNasCMaUJaS0tBRRUVG4du0ahEIh+vTpg0OHDsHb2xssFgssFov5YddM2SkSicBisTBp0iSmFUHTP5gQe0MtAab58MMPsXXrVqxatQqjRo3C5MmTIRAIcOPGDZ3pQO+44w7ExcXp1BEcHIzg4GD4+vpiyZIlBi8QZg2algBCuhpHGvfksOn3unXrwOPxEBUVBS8vL+Tn5+Pw4cNwdXXVWlHQ0HLGlI2MjER8fDy2bNmC2tpaBAUF4ejRoygvL9fpAmVMWUKam5sRHR2NiooKZsG6y5cvY8CAAQBam/lv/cH39PSEt7c3OBwOfHx8sHPnTp11AwixF5qVYolxCgoKIBAItJ7uBwQEICMjQ6dFOzIysrPDM5qmJYCQrsaRVkV32CRg+PDhOH78OPbt2weZTAaRSISRI0di7ty5WoOkDC1nbNmkpCRs3boVqampkEqlCAsLw8qVK9GvXz+dWI0pS5yXphvdCy+8gGHDhsHNzQ0ZGRkYOnQoM3ZEXxIgEomYwX2HDx/u9LgJMQaLxbJ1CA7Jzc0N69at09o2YMAAbNmyxUYRmYeSANJV8fl8NDc32zoMgzhsEjBjxgyDFkMytJyxZXk8nsErLRpTljivuro6iEQieHh4YNKkSVCr1RgyZAgKCgqY2TYWLlyokwR4eHjQQGBCurD6+np4eHjorJo7duxY/Pzzz7YJykwuLi6QSCSdPosgIdbm6urqHN2Bjh49iqNHj+psZ7FY7b6nsW/fPnMOTYjdaWpqMmiguT7nzp3DmTNntG7mWSwW+Hy+1mrVISEhOvtyuVydJ4SEkK7jypUrWmvYaLBYLPTo0cMGEZmPx+OhvLxc56EGIY7OkcYEmDUqSNN9wZT/EdKV5Obm4t133zV5/5s3b+LQoUMmP9G35QA/Qoh1nT9/Hv3797d1GBbl4uKC4uJimhyDdDlO0R1o//79loyDEIekVCqxevVqxMTEID8/3+R6qqqqkJeXh169elkwOkKIozty5AiOHj2KJ554wtahWBSPx0NxcbFF1ykgxB44UncgenxIiBkqKipw8OBBvPfeeygsLDS5nurqari7u1MSQIiTqqioQFNTE3bs2IGqqirmJiI9PR0ff/xxl2vt4/F4qK2tbXfRUUIclSN1B3LYgcHOICkpSeeLPyEhAQkJCTaKiLR148YNHD16FEqlkhmcW1tbC5FIZHRd1dXV+Prrr2nRHOI0VCpVl7uxNZVKpcKrr76KiIgI/PHHH7hx4wZEIhFUKhX27t2L5cuX2zpEi9MsUkbdgUhXQ0kAsYjk5GQIBAJbh0HasW/fPmzfvh1TpkzB888/j4MHD+L69evMIl5tVVdXIzs7G4MHD9ZbV3NzM63yS5yGps+sm5ubrUOxC7/99hvGjh2LiooKTJs2Db/88gtGjx6NlpYW/PTTT11yWlU+n499+/bpTL9NiKOjJICQLkyhUODChQsoKirC9u3b4e/vD5FIhD59+mDFihU4dOiQzo/2f//9h6VLl+LMmTNa21999VX069cPSqWyM/8EQmxKs2owJQGtDh06hA0bNjAtgenp6SgpKYGfnx/CwsJsG5wV0dTGpCtypIHB1BZLiBHq6+uRmJiIp556Ci0tLejduzfT/WfIkCHo3bs3qqurmfKambDa6yLU2NiI7Oxsnfm/CenK+Hy+w6yoaUmNjY2QyWQoLCzESy+9hP3790OlUoHH42l1BXz99dehUCjoe4EQB0QtAYR0UVeuXMGUKVMwd+5clJSUaL3H5XIRGxuLwsJCiMVi5Obm4sEHH0R6ejrkcjkAoLS0lJkXW6FQgMvlYtasWSgqKur0v4UQW3Fzc3PKJGDbtm3YuXMnqqqqALTOLhYfHw9vb2+tcoMGDYKfnx9KS0ttESYhxAyUBBDSReXl5SEsLAwjR47U24XHx8cHCxYswKlTp/Dbb78xLQByuRzx8fH4559/cO+99wIAUlJSMHDgQPTv37/LzQFOSEcc6UfSknJzc1FdXY158+YhKCgIx44dQ2lpKQICAnTKLlmyBPX19TaIkhBiDkeaIpSSAEKMkJubi/j4eLBYLL0z+YwePRq9e/fGJ598gv3796Nv374AWpOA4OBgSCQSqNVqfPDBB6ipqcHSpUs7+08gxOacrSVAKpVCIBAgLy8PLi4ueOmll8BisdDQ0IAdO3ZgxIgROvvoWx2cEGL/HOkhB40JIMQIJSUlHS5z7+vriwcffBB79uxBbGwskygoFAr4+Pigrq4O1dXV2LFjB/777z+4u7t3VuiE2A1H+pE0V0FBARYtWoT169eDzWbDz8+PmTjggQcewNWrVzF27FgbR0kIsRQulwuFQmHrMAxCSQAhRlCr1eBwOB2WGT16NBoaGrB+/XoArXOAt7S0wNfXF7W1tSgoKEDfvn0hEAi65NR/hNyOsyQBW7duxb333ot77rkHRUVF8Pb2RmRkJPO+UCjE7t27mTnzCSGOz5F+1ykJIMRA165dM2jdBh8fH+zZswcsFgseHh6QyWSQy+UQi8Wor69Hfn4+xowZQytlEqflDN2Bdu3ahYMHDwJobSHk8XgQiUR47733tMo50g0DIaRroTEBhBigqakJX375pcF9+Lt37w6g9UlfTU0N5HI5XF1dcerUKdTX1+O9995DVFSUNUMmxG7x+Xxmhpyu6syZMygpKUFAQAB8fX3h4+MDNzc3uuknhNgNSgIIuUVtbS2EQqHWj/XatWvxzz//GL3EvUAgQFNTExQKBVxcXNDU1IQPPvgAQqEQY8aMsXTohDgEZ2gJKCwshLe3N0QiEZME8Hg8W4dFCCEMSgLsWFJSEths7R5bCQkJSEhIsFFEjq+xsREuLi46M/uUlZWBw+HA19cXd955J3bs2IFevXox70ulUpw4ccLo4/F4PLS0tEAul8PFxQWpqanw9PQ0++8gxJF19SRArVajpqYGoaGhmDJlCnx8fCAWi/XOKEYIIbZC30h2LDk52aA+6KRjtbW1SE5OxiOPPIInnngCixcvxqxZs7TKvPvuu1Aqlfj4448BQOcGRalUmvQDfmsSQAkAIa3d5Gpra20dhtWUlJSgf//+EAqFmDlzJgBg/Pjx1BWIEGJXaGAw6fLOnj0LHx8fPP/881i4cCGOHTsGtVqtVcbPzw///vsvysrKAEDrBkWlUum0yBjK1dUVzc3NkMvl9BSQkP9PJBKhrq7O1mFYzeXLlzF69GgsW7aM2aZpDSCEEHtBSQDpkkpLS3H06FEAwM2bNzF+/HgsXLgQc+bMQUREBDIyMrTKu7u7Q6lU4pVXXsGYMWNQU1MDALh+/TpOnTpl8hN8FxcXrZYAQkjr9dbQ0GDrMKzmyJEjGDZsmMkPDwghjo3D4TjEWgH0DUW6pPXr1+Pzzz8HAFy6dAk9e/bEvffeCw6Hg1GjRmHBggUoLi5mykulUuzYsQONjY2YM2cOysrKUFxcjH///Re//fYbRCKRSXG0bQmgQYGEtOrK3WJkMhlUKhUCAgJsHQohxEYcZS0USgJIl9PQ0AAej4du3brh5s2bCAoK0lqZt2/fvgCA7OxsAMD58+fx+++/IzQ0FDt27ICvry8OHz6Mbdu2oaioCBcuXICXl5dJsfB4PMjlcmoJIMRJXL16lfmOIYQ4Jz6fj+bmZluHcVuUBJAu5+rVq4iKikJdXR0eeughDB48WOt9d3d3bNy4EXl5eQCA48ePo7m5Ga6uruByuQgKCkJJSQn27t2L3bt3o7i42OSWAB6PR2MCCNHj1nE5XUVWVhatAUKIk6OWAEJsJDc3FxEREVi5ciXuvfdeDBgwQKdMWFgYMjMzceDAAVy6dEnrPXd3d6xcuRKurq646667IBKJIJfLTYpFMzuQZp0AQkgrR/mRNMb58+fx888/Izw83NahEEJsyNXV1SG+3+jRJOlyqqurER0djbCwMLz66qt6y/j7+yMwMBDFxcX4/PPPcfDgQa33J02ahM2bN2PJkiVgs9lwdXU1KRZNEtDS0kJJACFtBAQEoLS0FGFhYbYOxWLS09NRXl4Of39/W4dCCLEhR3nIQUkA6XKqqqoMmorv2WefZf57+vTpOu+/8MIL8Pb2NisWV1dXmh2IED0CAgJQVlbWZZKAZ599FteuXcPq1au79MBnQsjt0ZgAQmzgoYcewv79+82+eQeAYcOGmV2HpiVArVbTjQEhbWiSAEdVUVGBhoYGVFZWYvLkyWCz2fj8888xbtw4W4dGCLExR+kOREkA6TLUajXUajWam5vB5/NtHQ6A/5silBIAQrQ5ehKwf/9+nDhxAjU1NaisrAQA9OrVy8ZREULsgaN0B6IkgHQZFRUViImJsXUYWjSLhXXVmVAIMVVgYCCTBBQWFto4GuNVVlbi9ddfx5EjR3D33Xfjscces3VIhBA74SjdgWhMgB1LSkrSWXEyISEBCQkJNorIvl27dg0RERE4ffq0rUNhaMYEEEK0icViSCQSlJaW4uGHH8aBAwcgl8tx8eJF3HHHHWbXr2kVlEqlkMlkaGhogFAoRLdu3SwQPZin/6WlpYiNjdWZipgQ4rz4fD4kEomtw7gtSgLsWHJyMgQCga3DsDs7d+7E7NmzwWazmW42arUaaWlpuO++++yq6w2fz0dVVZXddE8ixF6w2Wyo1Wp89tlnGDJkCMaPH4/ly5cjPT0dMTExWjfvDQ0NWv996+v2pvDl8/lwd3eHu7s7BAIBzp8/z6wkbi6FQoEpU6YgLy8Pw4cPt0idhJCuwVHGBFASQBxGY2Mjbt68ic2bN+Po0aOorKzEd999hy1btiAnJwfdu3dHRESErcPUIhAIUFZWZnfdlAixB25ubmCz2XjwwQeRmpqKq1ev4tixY5BKpYiIiGBu3j08PCAQCJjVvwUCgdbNPY/HM+h4L774osUG6avVaiQmJuLxxx+Hh4eH2fURQroORxkTQEkAcRhpaWn44YcfEBQUhPvvvx9NTU1Yvnw5SktLERISghdffNHWIepgs9moqakxecVhQrqyGTNmQK1WMwNqr1+/Dm9vb7z55pvw9fW1+PG8vb1RU1Nj9uxh9fX18PDwgL+/P/PfhBCi4ShjAmhgMHEYaWlpuHz5Mu69915MnDgREydORF1dHdzd3fHhhx/aOrx2cTgcg9YtIMTZjBw5EqNGjYJIJMJ7772HrKwsfP3111ZJAAAgPDwcV65cMbueCxcuoHfv3szNv7u7u9l1EkK6DkfpDkRJALE7qampyMjIwJNPPon33nsPAKBSqVBZWYmDBw9i2rRpAFoz7U2bNuHJJ5/UGUBtT4RCIXx8fGwdBiF2zdfXF83NzQgMDLTaMWbOnIm9e/eaXc/mzZtx1113AQDuv/9+SvIJIVqoOxAhBlKr1fj4448REhKCmTNn4v3334ePjw8kEgnOnj2LJ554AuXl5YiMjISfn5/WvlwuF6NHj7ZR5Ibx9PSkmwRCbkPTZY7Ltd7PklAohFKpREtLi8HjCG5VX1+PwMBABAUFAQBeffVVS4ZICOkCqDsQIQb63//+h6KiIhw6dAhvvfUW5s2bh7y8PEyZMgUBAQE4f/48fvvtN8THx9s6VJNQEkDI7XXr1s1iM/d0JCIiAnl5eSbvf/ToUfTu3duCERFCuhpqCSDEQGfOnEFcXBxKS0vh5eWFefPmoU+fPujduzfGjRuHxYsX4/HHH8egQYNsHapJxowZY9UuDoR0BS4uLhg6dKjVj+Pt7Y3a2lqT909JScH69estGBEhpKtxlDEBlAQQm2pqakJ9fT2uX7+OgIAADBw4ECwWi7kZ8PLywqZNmxAeHm7jSE2nGcNACLE9kUiEmpoak/atqakBn8+ndT8IIR2yp/WKOkLdgYhNVVZWwt3dHVVVVQgNDUVISIhOGUdOAAgh9sXLy8vkJGDixIlwc3OzbECEEGIj1BJAbKqyshLz58/H1KlTkZubS31tCSFW5eXlhczMTJP2HTNmDFauXGnhiAghxDYoCbBjSUlJOlNfJiQkICEhwUYRWd758+cRExODbt26oVu3brYOhxDSxXl5eZk1JsCasxcRQkhnom8zO5acnAyBQGDrMKzq3LlzmD9/vq3DIIQ4ibbdgVavXo3XX38dQOtihI46AxkhhJiCxgQQmzh69CikUinYbDY9WSOEdBp3d3dIpVIoFAocOnQIMpkMCoUC3377bYf7KRQKcDicToqSEEKsj5IAYhN79uxBSkoKQkNDbR0KIcSJaGbtyMvLQ3NzMyQSCRoaGvQOFt6xYweA1hXL6+rqIBQKOzNUQgixKkoCiE0UFBTgiy++wNSpU20dCiHECUkkEvj5+aG8vBwbNmzQO07g/fffR2FhIZYvX46qqipa9I8QYhSVSmXrEDpE/TBIp5PL5eDz+RgwYACioqJsHQ4hxAk1NDSge/fu+PXXX3HgwAGw2WyoVCqw2Wyo1WqwWCyw2WwkJyejoqICeXl5tOgfIcRgfD4fLS0tdr2uCLUEkE5XVVWF2NhYrF692tahEEKckIuLC6qrqxEWFob09HS4urpCpVLhyJEjKCoqwtChQ9HU1IT4+HicOHECV69exbJlyxAQEGDr0AkhDoLP59v9qsEO2xKQkZGB5cuX631v/fr1zBNmQ8tpyOVy/Pjjj0hNTYVUKkVYWBjmz5+P2NhYk8oZW7ark8lkqK6uhkgksnUohBAn5e/vj5ycHPTu3Rs///wz4uLicPbsWaxbtw79+/cHANy4cQMsFgsff/wxkpOTkZubSy0BhBCDURLQCaZPn66zwFRQUJDJ5T766COkpaVhxowZCA4OxpEjR7Bq1SqsWbMGMTExRpcztmxX98YbbyAzMxNz5861dSiEECfVq1cv/Pzzzxg/fjw4HA6io6Ph7++PGzduQCKRAAAee+wxTJo0CaNGjcKvv/6K6OhomsiAEGIwSgI6QUxMjEFzOxtS7tq1azhx4gQSExMxa9YsAMCECROwePFibN68GevXrzeqnLFlnUFQUBBSU1OpJYAQYjO9e/dGVlYWvLy8EBkZiSFDhiA4OBi7d+/Gr7/+ivDwcPj4+DB9eb28vDB16lS77ttLCLEvjpAEdIkxATKZDEql0uxyaWlpYLPZmDx5MrONx+Nh0qRJyMzMREVFhVHljC3rDBoaGhAYGEhJACHEZiIiIgC0rhnw2WefYcyYMYiIiEBERASam5shEAggEomYm/7HHnsM0dHRtgyZEOJgXF1d7T4JcPiWgA0bNqCxsRFsNhsxMTFITEzU6fZjaLns7Gx069ZNZ5XePn36AABycnLg5+dncDlj6nQW9fX16NevH7y8vGwdCiHESfH5fISGhsLd3R0eHh7M9p49ewIABAIBPD09mSSABgQTQozlCC0BDpsEcLlcjBo1CkOGDIFQKER+fj727t2LpUuXYt26dcyTHkPLAa2z1nh7e+scS7NN01fU0HLGlr2VTCa77ecAtM504eLiYlBZW5PL5Vi4cCHCw8NtHQohxIk9/vjjOg9noqOjMXnyZMhkMq0kgBBCjMXn89Hc3GzrMDrksElAdHS0VvPs8OHDER8fj+eeew5btmzBqlWrjCoHAC0tLXpvpnk8HvO+MeWMLXurxMTEdt9ra+7cuZg3b55BZW1lwoQJCAwMREBAgNMNhiaE2B99CxUKBAKMHz8eqamp8PDwAIfDsUFkhJCugLoDdbLg4GCMGDECJ0+ehFKpbPcLvL1yPB4Pcrlcp7zmRl1z425oOWPL3mrTpk06T6r0cYRWgLq6OtTV1VE3IEKIXXN3d4ebmxs8PT3tfrVPQoj94vP5qKurs3UYHepSSQAA+Pr6QqFQMIO7jCknFov1ds+prq4GAPj4+BhVztiytxIIBAYlAfaurq4OU6dOhZeXF44dO2brcAghpF2a711PT0+7b8onhNgvPp9v95O/dInZgdoqLS0Fj8e7bV9OfeXCw8NRVFSk0xc/KyuLed+YcsaW7ap+++03BAcHY/78+fjuu+9sHQ4hhLSrW7duGDp0KNN1lBBCTOEI3YEcNgmora3V2ZaTk4NTp04hNjYWbDbbqHIAEB8fD5VKhUOHDjHb5HI5UlJSEBkZycziY2g5Y8t2VUePHsX8+fPh7+8PX19fW4dDCCHt8vHxwejRoyEWi53i+5kQYh00O5AVrVu3DjweD1FRUfDy8kJ+fj4OHz4MV1dXPProo0aXA4DIyEjEx8djy5YtqK2tRVBQEI4ePYry8nI8//zzRpcztmxX5eHhoTUNHyGEEEJIV0ZJgBUNHz4cx48fx759+yCTySASiTBy5EjMnTsXwcHBRpfTSEpKwtatW5GamgqpVIqwsDCsXLkS/fr1M6mcsWUJIYQQQohjc4QpQllqtVpt6yCINplMhjlz5mDnzp0OPzBYrVYjKSkJH374oa1DIYQQQgjpFBKJBBs3bsTrr7/e6cc29D7SYVsCiP27evUquFwuLbhDCCGEEKdC3YGIw1Gr1WCxWBap6+OPP0Z9fT0tDkYIIYQQp+Lq6mr33YEcdnYgYnkNDQ146623LFKXWq0Gj8dDYWEhzQhECCGEEKfC5XKhVCptHUaHKAkgDHd3d0gkElhimEhZWRkCAwPB4XBw5513WiA6QgghhBBiKdQdyI4lJSVprWMAAAkJCUhISLDaMePj47F8+XL07t0bPXv2xLhx4wzeV6FQgMtt/SeVm5uL8PBwpKSkWKx7ESGEEEIIsQxKAuxYcnJyp88ONGfOHIwdOxZvvfUWioqK9CYBv//+OwBg6tSp2L17N+Lj47F3715s2rQJp06dYqZjjYiIoASAEEIIIcQOUXcgoiMwMBCffPIJqqqq9L5/8OBBnDt3Dk1NTfjoo4/w+eefIy8vD926dUNFRQW++eYb/PXXXxg0aFDnBk4IIYQQQgxCSQDRi8PhQKVSQaVSaW1Xq9XgcDgoKyvDSy+9hO7du+PgwYOYMWMG7r33XmRmZqKsrAyhoaE0NSghhBBCiJ2iJIC0q2fPnsjOzmZef/3117h69SrEYjHkcjkz+HfGjBkYOHAggoODkZGRAQDo1auXrcImhBBCCCG3QUkAadfdd9+N77//nnmdlpaGt99+G71790a3bt1QX18PAFi5ciU8PT3Ro0cPnDlzBvHx8Rg2bJitwiaEEEIIsTkWi2XX04RSEkDaFRUVBalUCqB15h9vb28MHjwY06ZNQ/fu3ZkkQCM8PByXLl3CjBkzEB4ebouQCSGEEELsgru7OxoaGmwdRrtodiBikMLCQoSGhiIpKQkAMHv2bFy4cAGNjY1MGR6Ph5iYGIwZM8ZWYRJCCCGE2AUPDw9IpVIIhUJbh6IXtQSQDvF4PLz77rvIzs5Gz549me0CgQDe3t5MS4HG999/Dx6P19lhEkIIIYTYFU9PT537JHtCLQGkQ/X19Thy5Ah8fX11+vmXlJTAx8fHRpERQgghhNgvTUuAvaKWANKh2tpaAMCxY8fQp08frfciIiIwbdo0W4RFCCGEEGLX7D0JoJYA0qENGzagvr4eWVlZOvP+a8YHEEIIIYQQbR4eHjqTqNgTSgJIh3x9feHr60uz/RBCCCGEGEEkEqGkpMTWYbSLkgA7lpSUBDZbu8dWQkICEhISbBQRIYQQQggxxPDhw20dQocoCbBjycnJEAgEtg6DEEIIIYR0MTQwmBBCCCGEECdDSQCxa3K5HNu2bYNcLrd1KMRIdO4cG50/x0XnzrHR+XNcjnbuKAkgdk0ul2P79u0Oc0GR/0PnzrHR+XNcdO4cG50/x+Vo546SAEIIIYQQQpwMJQGEEEIIIYQ4GUoCCCGEEEIIcTKUBDiZ3377zaHqtSZH/CwcMWZroM/Y+vVakyN+Fo4YszXQZ2z9eq3J0T4LR/z3Zi3WiJeSACfjiBeqtTjiZ+GIMVsDfcbWr9eaHPGzcMSYrYE+Y+vXa02O9lk44r83a6EkgBBCCCGEEGI2SgIIIYQQQghxMlxbB0Dal5SUBDZbO09LSEhAQkKCjSIihBBCCCFdASUBdkitVgMA3n77bQgEAp33ZTKZyXWrVCqz9u/sejV1OlLM1qrXmnVbo15HPHfWrNvR6nXE80f/Llo54rmzZt2OVq8jnj9Hq9daddvLudOU09xPtoelvl0J0ukqKyuRmJho6zAIIYQQQoiD2rRpE3x9fdt9n5IAO6RSqVBVVQU3NzewWCxbh0MIIYQQQhyEWq1GY2MjxGKxTrfytigJIIQQQgghxMnQ7ECEEEIIIYQ4GUoCCCGEEEIIcTKUBBBCCCGEEOJkaIpQYnGNjY3Ys2cPrl27hmvXrkEqleKFF17AxIkT9Za/ceMGtm/fjitXrqClpQWBgYG4++67MWPGDK1yxcXF2Lp1K65cuYL6+nr4+flh7NixuPfee8Hn8wEAGRkZWL58ud7jrF+/HlFRUZb9Y7sga52/Gzdu4IcffsDVq1cBAJGRkUhMTETPnj21ysnlcvz4449ITU2FVCpFWFgY5s+fj9jYWOv8wV2ILc8dXXvmM/T8ffjhhzh69Gi79WzevBk+Pj7Ma0OvKbr2TGfLc0fXnnmsce6M+S625XVHSQCxuLq6OuzYsQN+fn4IDw9HRkZGu2XPnj2L1atXIyIiAnPmzIGbmxtKSkogkUi0ylVUVCApKQnu7u5ISEiAp6cnMjMzsW3bNty8eROvvfaaVvnp06ejd+/eWtuCgoIs90d2YdY4fzdu3MCrr74KX19fzJ07F2q1Gr/99huWLVuGDz74ACEhIUzZjz76CGlpaZgxYwaCg4Nx5MgRrFq1CmvWrEFMTIzV/u6uwNbnDqBrzxyGnr8pU6Zg0KBBWtvUajU2btwIf39/rZtIwPBriq4909n63AF07ZnKGufOmO9im153akIsrKWlRV1VVaVWq9Xqa9euqadNm6b+888/dco1NDSo58+fr16zZo1aqVR2WOfOnTvV06ZNU+fm5mptT05OVk+bNk1dX1+vVqvV6osXL6qnTZum/vvvvy301zgfa5y/N998U/3ggw+qa2trmW0SiUR9//33q9esWcNsy8rKUk+bNk39888/M9uam5vVTzzxhPqVV14x90/r8mx57ujaM5+h50+fS5cuqadNm6beuXOn1nZDrym69sxjy3NH1555rHHuDK3T1tcdjQkgFufi4gJvb+/bljt+/Dhqamrw8MMPg81mo6mpCSqVSm9Zzep3Xl5eWtu9vb3BZrPB5eo2aslkMiiVSuP/ACdnjfN3+fJlDBw4EEKhkNkmFosRExOD06dPo7GxEQCQlpYGNpuNyZMnM+V4PB4mTZqEzMxMVFRUmPnXdW22PHdt0bVnGkPPnz7Hjx8Hi8XC2LFjtbYbek3RtWceW567tujaM541zp2hddr6uqPuQMRmzp8/D4FAAIlEgjVr1qCoqAh8Ph/jx4/HwoULwePxmLL9+/fHzz//jE8++QTz5s1jugMdPHgQ06ZNY8YEaGzYsAGNjY1gs9mIiYlBYmKiTjMpMY8x508ul8PV1VWnDldXVygUCuTl5SEqKgrZ2dno1q0bBAKBVrk+ffoAAHJycuDn52fdP8wJWOPcadC11/kUCgX+/vtvREVFISAgQOs9Q68puvZswxLnToOuvc7V0bkzlK2vO0oCiM0UFxdDqVTi7bffxqRJk/DII48gIyMDBw4cQENDA5YsWcKUHTx4MObPn49du3bh33//ZbY/8MADePjhh5nXXC4Xo0aNwpAhQyAUCpGfn4+9e/di6dKlWLduHSIiIjr1b+zKjDl/ISEhyMrKglKpBIfDAdB6c3nt2jUAYPqhV1VV6X16otl2a391YhprnDu69mzn7NmzqK+vx7hx43TeM/SaomvPNixx7ujas42Ozp2hbH3dURJAbKapqQnNzc2YMmUKnnrqKQDAqFGjoFAocOjQITz00EMIDg5myvv7+6Nfv34YNWoUPD09cebMGezevRve3t6YNm0aACA6OhrR0dHMPsOHD0d8fDyee+45bNmyBatWrercP7ILM+b8TZ06FRs3bsTHH3+M++67D2q1Gjt37kR1dTUAoKWlhfl/FxcXnWNpnkxryhHzWOPc0bVnO8ePHweXy8Xo0aN13jP0mqJrzzYsce7o2rONjs6doWx93VESQGxG84/8jjvu0No+duxYHDp0CJmZmcyNyIkTJ/Dpp5/iyy+/hK+vL4DWmxaVSoXNmzfjjjvu0Oqz3FZwcDBGjBiBkydPaj3NJOYx5vxNmTIFFRUV2Lt3LzPFWq9evTBr1izs2rWL6c7F4/Egl8t1jqX5ImzbTYWYzhrnTh+69qyvsbER//77L2JjY/V+Bxp6TdG11/ksde70oWvPum537gxl6+uOkgBiM2KxGPn5+TqDfUUiEQBAKpUy237//XdEREQwCYDG8OHDceTIEWRnZ+tM3dWWr68vFAoFmpubdfreEdMYc/4A4JFHHsGsWbOQl5cHd3d3hIWFYcuWLQCAbt26MXXqa/7UPHW+dfo8YhprnLv20LVnXenp6Whubm63S4Kh1xRde53PUueuPXTtWc/tzp2hbH3d0exAxGZ69eoFQLfPW1VVFQBoZdc1NTV6Zy9RKBQAcNvZEEpLS8Hj8Tp8akmMY8z50/Dw8EBMTAzCwsIAtA5Q9fX1ZeaaDw8PR1FRETMblEZWVhbzPjGfNc5de+jas65jx47Bzc0Nw4YN0/u+odcUXXudz1Lnrj107VnP7c6doWx93VESQGxG04/uzz//1Nr+xx9/gMPhoH///sy24OBg3Lx5E0VFRVplT5w4ATabzdyY1NbW6hwnJycHp06dQmxsLNhs+idvKcacP33++usvXL9+HTNmzGDOS3x8PFQqFQ4dOsSUk8vlSElJQWRkJM1OYiHWOHd07XW+2tpaXLhwASNGjGj3Rs/Qa4quvc5lyXNH117nMuTcGcrW1x11ByJWoZllRPOk8dSpU8x/T5s2De7u7oiIiMCkSZPw559/QqlUol+/fsjIyEBaWhruv/9+rWawWbNm4b///sPSpUuZFYNPnz6N//77D3fddRdTdt26deDxeIiKioKXlxfy8/Nx+PBhuLq64tFHH+38D8JBWfr8Xbp0CTt27EBsbCw8PT2RlZWFlJQUxMXFYcaMGUy5yMhIxMfHY8uWLaitrUVQUBCOHj2K8vJyPP/88537ITgoW507uvYsw5Dzp/HXX39BqVR22CXB0GuKrj3z2erc0bVnPkufO0PrtPV1x1Kr1WqrH4U4nccffxzl5eV63/vmm2+YOXUVCgV2796NlJQUVFVVwc/PDwkJCbjnnnt09rt27Rq2bduG7Oxs1NfXIyAgABMmTMB9993HDHrav38/jh8/jpKSEshkMohEIgwYMABz587VmmmIdMzS56+kpASff/45bt68icbGRubczZw5U2dmhJaWFmzduhXHjh2DVCpFWFgY5s+fj7i4OOv8sV2Mrc4dXXuWYej5A4BXXnkFZWVl2Lx5c4cDPw29pujaM4+tzh1de+azxrkztE5bXneUBBBCCCGEEOJkqKMYIYQQQgghToaSAEIIIYQQQpwMJQGEEEIIIYQ4GUoCCCGEEEIIcTKUBBBCCCGEEOJkKAkghBBCCCHEyVASQAghhBBCiJOhJIAQQgghhBAnw7V1AIQQ5zJ9+nSjyvv7++Pbb7/FsmXLcOnSJZ3VG7uipqYmnDt3DqdPn8aVK1dQXl4ONpuNoKAgjBo1CjNnzoSbm5tBdb322mu4cOECAGDTpk3w9fXVej8jIwPLly9vd//IyEi8//77Wtu2bduG7du33/bYa9euRb9+/bS2NTc3Y/fu3fjrr79QUVEBT09PxMXFYf78+fDx8Wm3rpSUFPz+++8oKCgAl8tFZGQk5syZg+jo6Hb3uXLlCnbt2oWsrCwoFAqEhoZi2rRpmDBhwm1jb+vWlT8TExMxa9Ys5nV7nwefz0dQUBDi4+Nxzz33gM/nA7j9Z67PhAkT8NJLLyElJQUbNmxgXmtotrfl6uoKd3d3BAcHIzIyEuPHj0ePHj2MOu7taP6WW+OxN/v27cM333zDvNZ8rxDizCgJIIR0Kn03YFevXkVJSQnCw8MRHh6u9Z5QKOys0OzG8ePH8emnnwIAQkNDMWzYMDQ2NuLq1avYtm0bTpw4gbVr18LLy6vDelJSUnDhwgWwWCzcbnH4oKAgvTfUQUFBOtvCw8PbvZGuqqrC+fPn4erqioiICK33WlpasGLFCmRlZUEsFmP48OEoLy9HSkoKTp8+jffffx+BgYE6dX799dfYv38/eDweYmNjIZfLcf78eZw7dw5Lly7FyJEjdfZJS0vDunXroFarERMTA6FQiAsXLuDDDz9ETk4OHn/88Q4/D300f3N7N9Jt//2q1WpIJBJcuXIFW7duxT///IN3330XfD4fXl5eej+/kydPoqmpCXFxcTrntm/fvgbF2PY8KhQK1NXVITs7G5cuXcLPP/+McePG4ZlnnoFAIDD0z+4SQkNDmc/86NGjNo6GEPtASQAhpFPpe1r44YcfoqSkBCNGjMC8efPa3a+5ubnDp8VdBZfLxd1334177rkHoaGhzPaqqiqsWrUK2dnZ+Prrr7FkyZJ266itrcV3332H2NhYFBUVaT3J1ic6OtrgJ7kjR47Ue+MNAJs3b8b58+cxcuRIndaKnTt3IisrC1FRUXjrrbeY93/55Rd8++232LBhA9auXau1z/nz57F//354enri/fffR3BwMAAgMzMTy5Ytw4YNG9C/f394eHgw+9TX1+Pjjz+GSqXCsmXLMGrUKABAdXU1Xn31Vfzyyy8YNmwY+vfvb9Dfq3G7z0ffv9/S0lIsWbIEN2/exKFDhzBz5kyEhobqrevSpUtoamrC7NmzjY5NQ995VKvVOH36NL788kscO3YMlZWVWL16Nbhc57kFiIuLQ1xcHABKAgjRoDEBhBCH4O/vj9DQUKe4cbnzzjuxePFirQQA/6+9ew+KqnwDOP4FucjilRA0TNGYvKBg3sq8hzdUDC+VpU15S+2iTo01jln+Rk2NnKarWibeojFHU0wKVBQtFVRCEEFERVBXUAmBRWCB/f2xnRPrngVM1JTnM+OMnLPvnj2LM77PeZ/neQE3NzdmzpwJwOHDhzEajTbf47vvvqOkpER9/b1gMpmIiYkBYODAgRbnjEYju3btAmDGjBkWAUJwcDDe3t6cPHmS9PR0i3Hbt28H4MUXX1QDAID27dsTGBiIwWBg9+7dFmOioqIoKiriqaeeUgMAgKZNmzJp0iQAfv755zu825pp3rw5Q4cOBcyT/PvBzs6Onj17smLFCtzc3Dh58iQRERH35bMIIf47Hv7/TYUQDwVbNQFBQUF4eHjw7bffsmXLFqKjo7l+/ToeHh6MHTuWQYMGAXDixAk2b95Meno69vb29OzZk6lTp2qmG5WXlxMZGUl0dDSZmZmUl5fj5eVFQEAAI0eOpF69evfsvm/l7e0NmCfVBQUFuLm5Wb3m+PHjxMTEMHHiRM10nrslKSmJa9eu0bRpU/z9/S3OpaSkYDAYaNGihVWaEEDv3r3JyMggLi4OHx8fwFw/kJiYqJ7XGrNz507i4uIYPXq0evzo0aM2x3Tv3h0nJydOnDhBaWkpTk5O//6Ga0hJ7SkvL7/r16ruc0yYMIEvv/ySX375hVGjRtV47IULF9i4cSMnT56koqKCNm3a8MILL9j8/nJzc9m3bx9Hjx5Fr9eTn59PgwYN6NChA+PGjeOJJ55QX2s0Gnn11VcpKSlh/fr1Fqs6ipSUFN577z18fX1ZtmwZ8E/QGRERgV6vx2Aw0LhxY7y8vOjVqxcjRoy4zW9IiLpFVgKEEA+F5cuXs337dlq3bo2vry/Z2dl8/vnn7Nmzhz/++IOPPvqI8vJyunbtSv369dm3bx9LliyxypUvKSnhww8/ZOXKlVy+fJl27drRpUsX/vrrL9asWcPSpUupqKi4T3cJ2dnZgDllqGHDhlbni4uL+eabb2jZsqVF8Wp19Ho969ev56uvvmLDhg0cO3bstu9z//79APTr188qUDp//jwAbdu21RyrBAYZGRnqsUuXLmE0GmncuLFVQbOtMZV/1go2HB0dadWqFaWlpVy6dKnae6oNZ86cAbBa2bkf+vTpg729PXq9nmvXrtVozJkzZ5g7dy6xsbG4u7vTo0cPSktL+d///sfvv/+uOSY2NpZ169aRl5eHt7c3Tz/9NG5ubhw+fJj333+f+Ph49bWOjo4EBARQWlqqriTdKjIyEoBhw4apx0JDQ1mxYgXp6el4e3vTq1cvHn30UTIyMti2bVtNvxIh6ixZCRBCPPBycnJwcXFh9erVNG7cGIDExETmz5/Pxo0bMRqNzJ8/nx49egBQVFTE3LlzOXXqFElJSfj5+anvtXbtWhITE+nbty9vvvkmrq6u6piQkBBiY2OJjIwkMDDw3t8oEB4eDphznB0dHa3O//DDD+Tk5PDxxx9rnrclJSWFlJQUi2Pe3t7MmzfPIg3HltLSUg4dOgRYpwIBXL16FUBzMl/5eOXaBWWMrTqQ+vXr4+rqSmFhIUVFReh0OoqKijAYDNVeKz09natXr1oVoteWiooKcnNz2b9/P/v378fV1ZXhw4fflWvdDp1Oh6enJ3q9nszMTJvfkcJkMvHZZ59x8+ZNxo8fz4QJE9Rzu3btYtWqVZrjOnTowFdffWVVRB0fH8+iRYtYtWoVq1evxs7ODjBP7nfs2EFkZKTVE/yioiJ+//13GjRooKZ3lZaW8ssvv+Di4sIXX3xhUVBeXl5Oampqzb8UIeooWQkQQjwUpk2bpgYAAH5+frRt25bc3Fy6deumBgBgnghp5Wnn5eURFRWFu7s7s2fPVgMAZcysWbNwcHC4b/nUx44dY/fu3Tg4ODBx4kSr8+np6YSHh/Pss8/WuLBUp9MxZswYPv30U8LCwggLC2Px4sW0a9eOjIwMFixYoE6qqxIbG4vBYKBVq1aaT+CLi4sBc9tKLcrxmzdvqseUv9saA6htN5XXVh5va5wypqioyOb7/hs//vgjQUFBBAUF8dxzzzFp0iTWr1+Pv7+/zc5H94OSAleT32tSUhJZWVk0b96c8ePHW5wbMWIE7dq10xzn7e2t2UWpa9eu9OnTB71ez4ULF9TjXl5edO7cmfPnz5OWlmYxJiYmhpKSEgYOHKimHxUVFWE0GmnRooXV91qvXj18fX2rvTch6jpZCRBCPPAcHBys+tGDuSjz3LlzPPnkk5rnwJy7rEhKSqKsrIxu3bppTiCbNm3Ko48+yoULFygpKalyclrbsrKyWLFiBSaTiUmTJlk9wS4vL+fLL7/E1dWVyZMn1/h9H3/8catJu7+/P506dWL+/PkkJycTERHB888/X+X7KKlAWqsAdcWtLW6V9pwJCQls2rSJOXPmqAHIgyI5ORkw11do1cL069eP06dPa441Go0cP36ctLQ08vPz1UJ2JV3r8uXLao0LQGBgIImJiURFRVnUDCipQErgDub6Bnd3d86dO8e6desYNmzYfybIEuJBIUGAEOKB16RJE80JijLh0konUbrTVO6wo6SiREZGqhMPWwoLC6sMApQWnbcaMmTIbT+lvH79OgsXLqSwsJDg4GDNgs7w8HDOnTvHrFmzLFZE/q169eoxduxYkpOTiY+PrzIIyM/PJz4+Hnt7ewYMGKD5GuV3UVJSonleOV65a5Dyd1tj4J8VBuW1lceXlJRo9sNXxtR2r3ytFqFGo5GVK1eye/dunJyceOedd2r1mv9Gfn4+gGZNya2UILlZs2aa5z08PDSPZ2RksGjRoipb01ZetQHz99e0aVMOHDjAlClTcHFxIT09nbNnz9K+fXurlYU5c+YQEhLC1q1b2bp1Kx4eHnTq1Im+ffvSvXv3au9NiLpOggAhxAPP3r7qzMbqziuUQti2bdtaPKHUUl2r0uLiYs1+5J07d76tIKCgoIAFCxaQk5PDoEGDbD7lj4uLw87Ojr1791pd96+//gJg2bJlODo6Mm7cOLp161bttZVaAGW8LQcPHqSsrAw/Pz+bOebKJNJWMapyvPKkUhlz/fp1zTHFxcUYDAYaNGigTuh1Oh2urq4YDAauXbtGq1atbF7L1sS2Njk6OjJ16lT27NlDTEwM06ZNq9Hk+24pKiriypUrwN0rVDaZTCxfvpycnBwCAwMJDAzE09MTFxcX7Ozs2LBhA1u2bLEqyndwcGDQoEFs2bKFAwcOMHToUKKiogDLVQCFv78/3377LXFxccTHx5OUlER0dDTR0dE888wzzJs3767cnxAPCwkChBDib8oEtmPHjkyfPv2O3svT05OdO3fe0XvcvHmThQsXkpWVRa9evXjrrbfUQkotJpNJTd/QoqRtBAQE1Oj6hYWFQNU5+VCzVCAlTebcuXOa58+ePQtgEXx5eXnh6OjIjRs3uH79utWKjtYY5efk5GTOnj1rFQSUlZWRmZmJk5MTXl5eVd5XbdHpdDRq1IgbN26g1+vvaxBw8OBBTCYTXl5eNdp4T2lBqxRp30rrSf/Fixe5ePEiPj4+vPHGG1bnlSBEy7Bhw9i6dStRUVH079+fAwcOoNPp6NOnj+brdTodAwYMUFegUlNTWb58OYcOHeLYsWOyIiBEFaQwWAgh/ubn54e9vT1xcXGUlZXd189iNBpZvHgxaWlpdO3alblz51a5P8HSpUvZuXOn5h/l6XpoaCg7d+5U906ojtLtR6vQV3HlyhVSU1NxcnKy2JjrVh06dMDV1RW9Xq8ZCPzxxx8A9OzZUz3m7Oysdm7SakWpNQZQi8CV85UdPXqU0tJS/P3978keAWB++q6k4Ny6i/K9lJeXR1hYGGDeX6MmOnbsCJj/LWi1jD148KDVMSV41FoVKiwsJCEhweb1PDw86Nq1K2lpaWzatAmDwUD//v1rXEvRvn17NRitXHgshLAmQYAQQvztkUceYfDgweTk5BASEqKZBnP58mXNyWVtKi8vJyQkhMTERHx9fZk3b95ttfu8HTt27LB6ymsymfj111/ZsWMHdnZ2Vba23LdvH2DO564qx97R0VFt/bhq1So1Lx/MuwJnZGTQqVMndaMwRXBwMACbN2/m8uXL6vHU1FR+++03XF1dGTx4sMWYIUOGoNPpiI2NVQMZME+CQ0NDASw2F7ubjEYja9aswWQy4enpScuWLe/JdSszmUwcO3aMd999l9zcXPz8/Cz67Velc+fOtGzZEr1ez+bNmy3O/frrr5qtOFu0aIG9vT2JiYkWv7PS0lK+/vprCgoKqrym0n53x44dgHYqUE5ODnv27LH4d6RcQ9lgrrr2p0LUdZIOJIQQlUybNo3s7GwOHTpEfHw8bdq0oVmzZpSUlJCZmYler+epp57S3I22tuzatYvDhw8D5naOK1eu1Hzd5MmT77gIODw8nLVr1/L444/j6emJ0WgkIyOD7Oxs7O3tef31160m5pUpmzvVpCvQiy++yIkTJ0hJSWH69Ol07NiRq1evcvr0aRo3bszs2bOtxnTp0oVRo0YRHh7OrFmz6NKlC2VlZSQkJGAymZg9e7bVDrMNGzZk1qxZfPLJJyxbtozOnTvTsGFDEhISMBgMBAcH17iF6u04cuSIupkb/NMdKDc3F2dnZ2bPnl1lOtftsFXnkpKSwmeffQaYU58KCgo4e/asuhIxcOBAZsyYUeNdr+3t7ZkzZw4ffPABYWFhHDp0iFatWqHX60lPT2f48OFWLXObNGnC4MGDiYyM5O2338bPzw9nZ2eSk5OpqKggICCAvXv32rxmt27dcHd359q1a/j4+GiuRBUWFvL555+zatUqfHx8cHd3p7i4mNTUVG7cuIGPj0+VK1NCCAkChBDCgrOzMwsXLiQmJoa9e/dy/vx5zpw5Q6NGjfDw8GDgwIH069fvrn4GJZ0CUIMBLS+//PIdBwHBwcH8+eefZGZmkpWVRVlZGW5ubgwYMICgoCCLVo23SktL49KlSzRp0kSzDeutnJycWLJkiVr4eeTIERo2bEhAQAATJ060+eR22rRptGnThl27dpGQkICDgwP+/v6MHz+eDh06aI7p3bs3S5cuZfPmzZw+fZqysjIee+wxRo4cWeOaiNt1/vx5dWdkMK9+uLu7M2zYMEaPHl2jTdeqo3SzspUeo9fr0ev1gPn7btCgAY899piaJqPVu7867dq1IyQkhI0bN5KcnMyVK1fw9vZmwYIF1K9fX3PfjJkzZ9KyZUuioqJITExEp9PRpUsXXnnlFfbs2VPl9erVq0enTp3Yv3+/5ioAmFv8TpkyhRMnTpCZmcmZM2dwdnbG09OT559/nqFDh9611TMhHhZ2plvL84UQQgihmjJlCjk5OXdc6F0bQkND2bZtG5MmTWLMmDH3++PcFcXFxbz22mtUVFSwbt26Wm/lGhQUhIeHB99//32tvq8QDxpZCRBCCCFqQEmz6devX41arNa2vLw8tUBaa3O8h0VERAQGg4ERI0bUWgAQHx+vpq4JIcwkCBBCCCFqQNl/oXXr1vc0CDh8+DDR0dGcOnWK/Px8unfvXmWa1oMoPz+fdevWkZeXx/Hjx3FxcWHcuHG19v5ZWVma+3YIUZdJOpAQQgjxHxYWFsZPP/2Eu7s7vXv35qWXXqpxy8wHRXZ2NlOnTsXBwQFvb28mT558V4q3hRD/kCBACCGEEEKIOkb2CRBCCCGEEKKOkSBACCGEEEKIOkaCACGEEEIIIeoYCQKEEEIIIYSoYyQIEEIIIYQQoo6RIEAIIYQQQog6RoIAIYQQQggh6hgJAoQQQgghhKhjJAgQQgghhBCijvk/c6/WgViHk4QAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "target_lc.plot(label='Target + background');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The lightcurve clearly shows a 3% signal arising from significant time-variable background in these 10 pixels. Background flux is uncorrected in these TESS FFI cutouts, so we will have to estimate it directly. We can make a clever threshold mask:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:38.652242Z", "iopub.status.busy": "2025-05-21T14:02:38.652100Z", "iopub.status.idle": "2025-05-21T14:02:38.672471Z", "shell.execute_reply": "2025-05-21T14:02:38.672112Z" } }, "outputs": [], "source": [ "background_mask = ~tpf.create_threshold_mask(threshold=0.001, reference_pixel=None)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:38.674699Z", "iopub.status.busy": "2025-05-21T14:02:38.674561Z", "iopub.status.idle": "2025-05-21T14:02:39.072596Z", "shell.execute_reply": "2025-05-21T14:02:39.072222Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tpf.plot(aperture_mask=background_mask, mask_color='w');" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:39.074446Z", "iopub.status.busy": "2025-05-21T14:02:39.074274Z", "iopub.status.idle": "2025-05-21T14:02:39.076758Z", "shell.execute_reply": "2025-05-21T14:02:39.076470Z" } }, "outputs": [ { "data": { "text/plain": [ "201" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_background_pixels = background_mask.sum()\n", "n_background_pixels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We identified 201 \"empty\" pixels that could be suitable for estimating the background. The 20x20 cutout has 400 pixels, so these 201 pixels are roughly the pixels with fluxes below the median.\n", "\n", "One may object that these ostensibly empty pixels contain background stars, so there is some uncertain zero-point level from imperfect background estimation. That's true! Background estimation is ultimately a challenge for working with TESS cutouts, especially since background varies in both space and time. Such effects should diminish as your background model approaches reality by modeling or ignoring known background sources and as more instrumental characterization proceeds. The Gaia background sources can be examined using [.interact_sky()](https://lightkurve.github.io/lightkurve/reference/api/lightkurve.KeplerTargetPixelFile.interact_sky.html). Note this function only works in a jupyter environment. " ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:39.078175Z", "iopub.status.busy": "2025-05-21T14:02:39.078064Z", "iopub.status.idle": "2025-05-21T14:02:39.079637Z", "shell.execute_reply": "2025-05-21T14:02:39.079402Z" } }, "outputs": [], "source": [ "#tpf.interact_sky()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:39.080954Z", "iopub.status.busy": "2025-05-21T14:02:39.080848Z", "iopub.status.idle": "2025-05-21T14:02:39.098747Z", "shell.execute_reply": "2025-05-21T14:02:39.098308Z" } }, "outputs": [], "source": [ "background_lc_per_pixel = tpf.to_lightcurve(aperture_mask=background_mask) / n_background_pixels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The amount of background seen in the target aperture is the background flux per pixel times the number of pixels in the target aperture." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:39.100404Z", "iopub.status.busy": "2025-05-21T14:02:39.100269Z", "iopub.status.idle": "2025-05-21T14:02:39.103519Z", "shell.execute_reply": "2025-05-21T14:02:39.103233Z" } }, "outputs": [], "source": [ "background_estimate_lc = background_lc_per_pixel * n_target_pixels" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:39.104813Z", "iopub.status.busy": "2025-05-21T14:02:39.104714Z", "iopub.status.idle": "2025-05-21T14:02:39.280086Z", "shell.execute_reply": "2025-05-21T14:02:39.279694Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "common_normalization = np.nanpercentile(target_lc.flux, 10)\n", "ax = (target_lc / common_normalization).plot(normalize=False, label='Target + Background', lw=1);\n", "(background_estimate_lc / common_normalization +1).plot(ax=ax, normalize=False, label='Background', \n", " ylabel='Normalized, shifted flux');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The time variable structure of the background flux resembles that of the target + background." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:39.281765Z", "iopub.status.busy": "2025-05-21T14:02:39.281624Z", "iopub.status.idle": "2025-05-21T14:02:39.284549Z", "shell.execute_reply": "2025-05-21T14:02:39.284280Z" } }, "outputs": [], "source": [ "corrected_lc = target_lc - background_estimate_lc.flux" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:39.285897Z", "iopub.status.busy": "2025-05-21T14:02:39.285781Z", "iopub.status.idle": "2025-05-21T14:02:39.438553Z", "shell.execute_reply": "2025-05-21T14:02:39.438158Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "corrected_lc.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Woohoo! We see the transit signal of HAT-P-11 b! Let's fold it on its known period 4.887802443 days [(Huber et al. 2017)](https://arxiv.org/abs/1611.00153)." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:39.440102Z", "iopub.status.busy": "2025-05-21T14:02:39.439969Z", "iopub.status.idle": "2025-05-21T14:02:39.441794Z", "shell.execute_reply": "2025-05-21T14:02:39.441540Z" } }, "outputs": [], "source": [ "period_days = 4.887802443\n", "epoch_time = 2454605.89132 - 2457000" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:39.443145Z", "iopub.status.busy": "2025-05-21T14:02:39.443023Z", "iopub.status.idle": "2025-05-21T14:02:39.574287Z", "shell.execute_reply": "2025-05-21T14:02:39.573768Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = corrected_lc.flatten(101).fold(period_days, epoch_time=epoch_time).scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nice!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Cut out Target Pixel Files from local Kepler Superstamps or native TESS FFIs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's also possible to manually construct TPFs from the native TESS FFIs or Kepler superstamps if you have the individual fits files saved locally.\n", "\n", "\n", "Let's assume you have downloaded a set of raw TESS FFIs to a local directory called `data`. `lightkurve` will assume that the files are given in *time order*. So you have to sort the filenames first with `glob`:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:39.576144Z", "iopub.status.busy": "2025-05-21T14:02:39.576014Z", "iopub.status.idle": "2025-05-21T14:02:39.577663Z", "shell.execute_reply": "2025-05-21T14:02:39.577410Z" } }, "outputs": [], "source": [ "from glob import glob\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we use the `KeplerTargetPixelFile` class and its function [from_fits_images()](https://lightkurve.github.io/lightkurve/reference/api/lightkurve.KeplerTargetPixelFile.from_fits_images.html) to create the new TPF. This will cut out around the position keyword. You can pass a pixel position in units of the original image or RA and Dec coordinates." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "execution": { "iopub.execute_input": "2025-05-21T14:02:39.578983Z", "iopub.status.busy": "2025-05-21T14:02:39.578889Z", "iopub.status.idle": "2025-05-21T14:02:39.580758Z", "shell.execute_reply": "2025-05-21T14:02:39.580507Z" } }, "outputs": [], "source": [ "from lightkurve import KeplerTargetPixelFile\n", "from astropy.coordinates import SkyCoord" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```python\n", "fnames = np.sort(glob('data/*.fits'))\n", "tpf = KeplerTargetPixelFile.from_fits_images(images=fnames, \n", " position=SkyCoord(257.13700, 24.48958, unit='deg'), \n", " size=(9,9),\n", " target_id='MyCutOut')\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The resulting object is a fully functioning `KeplerTargetPixelFile`. You can read more about such objects in the [tutorial on their use](https://lightkurve.github.io/lightkurve/tutorials/1-getting-started/using-target-pixel-file-products.html)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [] } ], "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 4 }