Nschanche/PRF_demo.ipynb Secret

## PRF_demo.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0fbb3d3d",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f8d5c894",
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0a3eaa34",
   "metadata": {},
   "source": [
    "This notebook demonstrates the functionality and use cases for the pixel response function (PRF) class implemented in lightkurve."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e8f8e9de",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/nthom/TESS_GI/lightkurve/src/lightkurve/config/__init__.py:119: UserWarning: The default Lightkurve cache directory, used by download(), etc., has been moved to /Users/nthom/.lightkurve/cache. Please move all the files in the legacy directory /Users/nthom/.lightkurve-cache to the new location and remove the legacy directory. Refer to https://docs.lightkurve.org/reference/config.html#default-cache-directory-migration for more information.\n",
      "  warnings.warn(\n"
     ]
    }
   ],
   "source": [
    "import lightkurve as lk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "cb256b9b",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c73c8708",
   "metadata": {},
   "source": [
    "# PRF from a Kepler TPF directly"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0663290f",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/nthom/TESS_GI/lightkurve/src/lightkurve/search.py:423: LightkurveWarning: Warning: 4 files available to download. Only the first file has been downloaded. Please use `download_all()` or specify additional criteria (e.g. quarter, campaign, or sector) to limit your search.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'Target ID: 8644288, Cadence: 210580'}, xlabel='Pixel Column Number', ylabel='Pixel Row Number'>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 848.5x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ktpf = lk.search_targetpixelfile('Kepler-18', quarter=3).download()\n",
    "ktpf.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e709d250",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Kepler is oversampled by a factor of 50. \n",
    "# make sure the supersampled PRF integrates to 1\n",
    "np.trapz(np.trapz(ktpf.prf.supersampled_prf,dx=1/50, axis=0), dx=1/50, axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "4afa7656",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KeplerPRF Object from channel 2 at column 749, row 142"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ktpf.prf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9ee59665",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'Supersampled Kepler PRF Model, Channel: 2'}, xlabel='Pixel Column Number', ylabel='Pixel Row Number'>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ktpf.prf.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "1085a9fc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# From the TPF, get simple apertures of different thresholds\n",
    "\n",
    "kaperture = ktpf.get_simple_aperture(plot=True) #min_completeness = 0.9 by default\n",
    "kaperture_complete = ktpf.get_simple_aperture(plot=True, min_completeness = 1) \n",
    "kaperture_small = ktpf.get_simple_aperture(plot=True, min_completeness = 0.2) \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ac47ebb9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "completeness: 0.8994832698299213\n",
      "completeness: 1.0\n",
      "completeness: 0.32070613867172443\n"
     ]
    }
   ],
   "source": [
    "# Given an aperture, you can also estimate the completeness\n",
    "\n",
    "print(f\"completeness: {ktpf.estimate_completeness(kaperture)}\")\n",
    "print(f\"completeness: {ktpf.estimate_completeness(kaperture_complete)}\")\n",
    "print(f\"completeness: {ktpf.estimate_completeness(kaperture_small)}\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a9aab381",
   "metadata": {},
   "source": [
    "# PRF from a TESS TPF directly"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "e24bb891",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/nthom/TESS_GI/lightkurve/src/lightkurve/search.py:423: LightkurveWarning: Warning: 2 files available to download. Only the first file has been downloaded. Please use `download_all()` or specify additional criteria (e.g. quarter, campaign, or sector) to limit your search.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'Target ID: 273690178, Cadence: 328247'}, xlabel='Pixel Column Number', ylabel='Pixel Row Number'>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 848.5x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ttpf = lk.search_targetpixelfile('Kepler-18', author='SPOC').download()\n",
    "ttpf.plot(aperture_mask='default')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "b5e52ed6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'TESS PRF Model, Camera: 2, CCD: 4'}, xlabel='Pixel Column Number', ylabel='Pixel Row Number'>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ttpf.prf.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "9eb933ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# TESS is oversampled by a factor of 9. \n",
    "# make sure the supersampled PRF integrates to 1\n",
    "np.trapz(np.trapz(ttpf.prf.supersampled_prf,dx=1/9, axis=0), dx=1/9, axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "6cf7e296",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get simple aperture based on a given completeness\n",
    "taperture = ttpf.get_simple_aperture(plot=True) #min_completeness = 0.9 by default\n",
    "taperture_complete = ttpf.get_simple_aperture(plot=True, min_completeness = 1) \n",
    "taperture_small = ttpf.get_simple_aperture(plot=True, min_completeness = 0.2) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "056a04a7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "completeness: 0.9039286465035984\n",
      "completeness: 1.0000000000000002\n",
      "completeness: 0.26244031202002666\n"
     ]
    }
   ],
   "source": [
    "# Given an aperture, estimate the completeness\n",
    "print(f\"completeness: {ttpf.estimate_completeness(taperture)}\")\n",
    "print(f\"completeness: {ttpf.estimate_completeness(taperture_complete)}\")\n",
    "print(f\"completeness: {ttpf.estimate_completeness(taperture_small)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "68160028",
   "metadata": {},
   "source": [
    "# PRF from a TESScut TPF directly"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "4864534d",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/nthom/TESS_GI/lightkurve/src/lightkurve/search.py:423: LightkurveWarning: Warning: 5 files available to download. Only the first file has been downloaded. Please use `download_all()` or specify additional criteria (e.g. quarter, campaign, or sector) to limit your search.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'Target ID: Kepler-18, Cadence: 0'}, xlabel='Pixel Column Number', ylabel='Pixel Row Number'>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 848.5x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tcut = lk.search_tesscut('Kepler-18').download(cutout_size=(12,15))\n",
    "tcut.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c8d37b6d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'TESS PRF Model, Camera: 2, CCD: 4'}, xlabel='Pixel Column Number', ylabel='Pixel Row Number'>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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3t8t7TiTFkEo5kJ+frzj5s2gIuuivoH/++QdardaonEajwdmzZ+Ht7W3XX0KG2rRpg4EDB2L79u1Ga5LYy/PPP4/nn38eQ4YMKfYXwdNPP637BSe1bt06eHt7667t0KEDTp48iePHj8vKrV+/XvZ1q1atULFiRfzxxx+IiIgw+SgaFbBFjx490KRJE8yZMwe///67yTI//PCD7i9WlUpl9Mt++/btJhelssVzzz0HIQQuX75s8t6bNGly3zqKfhEbtnf58uU2tU0IgeHDh2PNmjVYvny5YtaSJcaOHYsKFSpg5MiRyMzMNPma33zzDYDC0ccJEybgzz//xLvvvmuyvoyMDPzyyy/3fV2NRoPXX38dN27cwIQJE6xq+8aNG7Fr1y7Zo6iuZcuWOeyPAXqwcYSjDEhLSzO5smCVKlVQp04dZGZmolatWnjppZfQsWNH1KhRA9nZ2UhKSsKHH36IBg0a6NLzPv30UyxfvhzR0dF47LHH4O/vj7///hsff/wxTp48iXfeeccuvxSL8+6772LTpk2YOnUqfvrpJ7vX7+npia+++uq+5aZNm4Zt27ahQ4cOeOedd1CpUiV8/vnn2L59O+bNm6cbUo6NjcXq1avRtWtXvPfeewgKCsLnn3+OP//8U1afj48PFi1ahEGDBuHmzZvo1asXqlatimvXruH48eO4du1asSMuSUlJ6NChA6ZNm1bsiqhqtRrffPMNoqKiEBkZiddeew0dOnRAhQoVcPHiRXz11Vf47rvv8O+//wIo7AisXbsW9evXR9OmTZGcnIz58+db9ZdxcVq1aoVXX30VgwcPxpEjR9C2bVtUqFABV69exb59+9CkSRO89tprxdbRsmVLBAQEICYmBtOmTYObmxs+//xzo84eUBhSqFOnDgYNGnTfeRyjR4/GqlWrMGTIEDRp0kT28+Th4SFbrG769OmYMWMGdu3ahfbt2yvWGRYWho0bN6J3795o3ry5buEvoHDlztWrV0MIgeeffx4A8NZbb+HUqVOYNm0aDh06hOjoaN3CX3v27MGKFSswY8YMtGrVSvca//zzDw4ePAghBG7fvq1b+Ov48eMYO3Yshg8fLmvT008/jd27d993HoepjnjRqrfh4eE2hTWJFDlpsir9x5YslX79+gkhhMjNzRXvv/++6Ny5s6hZs6bw8PAQnp6eokGDBmL8+PHixo0bujr/+OMP8eabb4qIiAhRpUoV4erqKgICAkS7du3Ep59+et/2mrsYmRDFz7J/6623BACxe/duIYR9Fv4qjqksFSGEOHHihOjWrZvw9/cX7u7uolmzZmLNmjVG1//xxx/imWeeEZ6enqJSpUpi6NChYuvWrSYX/tq9e7fo2rWrqFSpknBzcxPVq1cXXbt2FV9++aWujKksle+++86iTIZbt26Jd999Vzz66KPCx8dHuLm5iZo1a4r+/fuLX375RVfu33//FUOHDhVVq1YV3t7eonXr1mLv3r2iXbt2ol27drpyRVkq0nZK22r4vZk2bZoAIK5duyY7v3r1avHEE0+IChUqCC8vL1GnTh0xcOBAWWZSu3btRKNGjUze1/79+0VkZKTw9vYWVapUEcOGDRNHjx4VAGTfm6L/i4MGDbrvexUaGqr4cxQaGior++abbwqVSiVOnTp133qFEOKvv/4SI0eOFHXr1hUeHh7Cy8tLNGzYUMTFxZnMQtq6davo2rWr7OevQ4cOYtmyZSI3N1dXTtpGFxcX4efnJ5o0aSJeffVVceDAAZNtKcr+sQazVMjRVEIoLNhARCVq/Pjx2LBhA86ePQtPT09nN+eB9fjjjyM0NBRffvmls5tCVK4wpEJUSuzatQtTp05lZ8OJsrKycPz4cZOrzRKRbTjCQURERA7HLBUiIiJyOHY4iIiIyOHY4SAiIiKHY4eDiIiIHK7cZ6lotVpcuXIFvr6+dtkWmoiISpb4b+GzkJAQuLg45u/knJwc5OXl2aUud3d3ZpuZUO47HFeuXCmzu0ESEZHepUuX7L5CLlDY2QgL9UF6hsYu9QUHByM1NZWdDgPlvsPh6+sLAGiNLnCFm5NbQ0RElipAPvYhQfd5bm95eXlIz9DgYnIt+PnaNoKSdVuL0PALyMvLY4fDQLnvcBSFUVzhBlcVOxxERGXOf6tFOTos7uOrgo+vba+hBUP3Ssp9h4OIiMgcGqGFxsalMDXCeDduKsQOBxEREQAtBLSwrcdh6/XlGdNiiYiIyOHY4SAiIgKgtdM/a8THxyMsLAyenp4IDw/H3r17FctevXoV0dHRqFevHlxcXBAbG1ts3Rs3boRKpULPnj2tapu9sMNBREQEQCOEXR6W2rRpE2JjYzF58mQcO3YMbdq0QefOnZGWlmayfG5uLqpUqYLJkyejWbNmxdZ98eJFjBs3Dm3atLG4XfbGDgcREZETLViwAEOHDsWwYcPQoEEDLFy4EDVq1MDSpUtNlq9VqxY+/PBDDBw4EP7+/or1ajQa9OvXDzNmzEDt2rUd1XyzscNBREQE/aRRWx+WyMvLQ3JyMqKiomTno6KisH//fpvuZ+bMmahSpQqGDh1qUz32wiwVIiIiFHY4NCWcpXL9+nVoNBoEBQXJzgcFBSE9Pd3qdvzyyy9YtWoVUlJSrK7D3jjCQURE5GSGi5oJIaxe6Oz27dvo378/Vq5cicDAQHs0zy44wkFERATnrMMRGBgItVptNJqRkZFhNOphrr/++gsXLlxAt27d9O3SFmbPuLq64vTp06hTp45VdduCHQ4iIiLA6iwTwzos4e7ujvDwcCQmJuL555/XnU9MTESPHj2sakP9+vVx4sQJ2bkpU6bg9u3b+PDDD522oSk7HERERE4UFxeHAQMGICIiApGRkVixYgXS0tIQExMDAJg0aRIuX76MdevW6a4pmpuRnZ2Na9euISUlBe7u7mjYsCE8PT3RuHFj2WtUrFgRAIzOlyR2OIiIiABo/3vYWoelevfujRs3bmDmzJm4evUqGjdujISEBISGhgIoXOjLcE2OFi1a6I6Tk5Oxfv16hIaG4sKFCza03rFUQtg4flTKZWVlwd/fH+3Rg7vFEhGVQQUiH0nYiszMTPj5+dm9/qLfEydPVYWvjdvT376tRaMGGQ5ra1nGEQ4iIiIAGgE77BZrn7aUR0yLJSIiIofjCAcRERGcN4fjQcEOBxEREQAtVNDAusW2pHWQaQypEBERkcNxhIOIiAiAVhQ+bK2DTGOHg4iICIDGDiEVW68vz5waUtmzZw+6deuGkJAQqFQqbNmyRfdcfn4+JkyYgCZNmqBChQoICQnBwIEDceXKFec1mIiIiKzi1A7HnTt30KxZMyxevNjoubt37+Lo0aOYOnUqjh49is2bN+PMmTPo3r27E1pKRETlXdEIh60PMs2pIZXOnTujc+fOJp/z9/dHYmKi7NyiRYvw+OOPIy0tDTVr1iyJJhIR0QNCK1TQChuzVGy8vjwrU1kqmZmZUKlUuk1oiIiIqGwoM5NGc3JyMHHiRERHRxe7Pn1ubi5yc3N1X2dlZZVE84iIqIzjpFHHKhMjHPn5+ejTpw+0Wi3i4+OLLTtnzhz4+/vrHjVq1CihVhIRUVmmgYtdHmRaqX9n8vPz8fLLLyM1NRWJiYn33X1v0qRJyMzM1D0uXbpUQi0lIqKyTPw3h8OWh+AcDkWlOqRS1Nk4e/Ysdu3ahcqVK9/3Gg8PD3h4eJRA64iIiMhcTu1wZGdn49y5c7qvU1NTkZKSgkqVKiEkJAS9evXC0aNHsW3bNmg0GqSnpwMAKlWqBHd3d2c1m4iIyiHO4XAsp3Y4jhw5gg4dOui+jouLAwAMGjQI06dPx7fffgsAaN68uey6Xbt2oX379iXVTCIiegBohAs0wraZBhouba7IqR2O9u3bQwjl705xzxEREVHZUarncBAREZUULVTQ2phLoQX/UFbCDgcRERE4h8PRSn1aLBEREZV9HOEgIiKCvSaNMqSihB0OIiIiFM3hsHHzNoZUFDGkQkRERA7HEQ4iIiIAWjvshcIsFWXscBAREYFzOByNHQ4iIiIUjnBwHQ7H4RwOIiIicjiOcBAREQHQCBU0Nm4vb+v15Rk7HERERAA0dpg0qmFIRRFDKkRERORwHOEgIiICoBUu0NqYpaJllooidjiIiIjAkIqjMaRCREREDscRDqKSpjKYxc4hWKJSQQvbs0y09mlKucQOBxEREey18BcDB0r4zhAREZHDcYSDyBqGYZHSUpejMOxDDwD77KXCv+OVsMNBREQEQAsVtLB1DkcZ+APCSdjhICIiAkc4HI0dDqKyENJwNkvfI4ZgiMgAu2JERETQL/xl68Ma8fHxCAsLg6enJ8LDw7F3717FslevXkV0dDTq1asHFxcXxMbGGpVZuXIl2rRpg4CAAAQEBKBjx444dOiQVW2zF3Y4iIiIAGiFyi4PS23atAmxsbGYPHkyjh07hjZt2qBz585IS0szWT43NxdVqlTB5MmT0axZM5NlkpKS0LdvX+zatQsHDhxAzZo1ERUVhcuXL1vcPntRCVG+xz6zsrLg7++P9ugBV5Wbs5tDpQXDKKVD+f74ITspEPlIwlZkZmbCz8/P7vUX/Z6Yd7gNvHxsm2lwL7sA4x/ba1Fbn3jiCTz66KNYunSp7lyDBg3Qs2dPzJkzp9hr27dvj+bNm2PhwoXFltNoNAgICMDixYsxcOBAs9plbxzhICIiQuGiXbaGUyxd+CsvLw/JycmIioqSnY+KisL+/fvtdm93795Ffn4+KlWqZLc6LcVJo0RERLDXbrGWXX/9+nVoNBoEBQXJzgcFBSE9Pd2mtkhNnDgR1atXR8eOHe1Wp6XY4aDyhaGSskXp+8VQCz1gVAY/C0IIo3PWmjdvHjZs2ICkpCR4enrapU5rsMNBREQEQAMVNDYu3GXp9YGBgVCr1UajGRkZGUajHtZ4//33MXv2bPz0009o2rSpzfXZgnM4iIiIoA+p2PqwhLu7O8LDw5GYmCg7n5iYiJYtW9p0P/Pnz8e7776L77//HhERETbVZQ8c4aCyr6yFUVQGH0iCG1obMfd7ytALlQNxcXEYMGAAIiIiEBkZiRUrViAtLQ0xMTEAgEmTJuHy5ctYt26d7pqUlBQAQHZ2Nq5du4aUlBS4u7ujYcOGAArDKFOnTsX69etRq1Yt3QiKj48PfHx8SvYG/8MOBxEREQANLA+JmKrDUr1798aNGzcwc+ZMXL16FY0bN0ZCQgJCQ0MBFC70ZbgmR4sWLXTHycnJWL9+PUJDQ3HhwgUAhQuJ5eXloVevXrLrpk2bhunTp1vRStuxw0FERATnZKkUGTlyJEaOHGnyubVr1xqdu98SWkUdj9KEHQ4iIiJw8zZHY4eDyiZnz9swnIfhiLqkczvMKfMgkv4/4HwOolKNHQ4iIiIAAipobZzDIWy8vjxjh4OIiAgMqTgaOxxUdpR0GMWeYRNHvb41bSyvYRiGV4hKNXY4iIiIAKu3lzesg0xjh4OIiAjQ7fhqax1kGjscVLqVRBjF2aGTkmbu/ZbX0AsROQU7HERERGBIxdHY4SAiIgKghQu0NoZEbL2+PGOHg0ofhlFKB3u+RyUdnlH6P8TsFSKnYYeDiIgIgEaooLExJGLr9eWZU//M27NnD7p164aQkBCoVCps2bJF9rwQAtOnT0dISAi8vLzQvn17nDx50jmNJSKicq1oDoetDzLNqR2OO3fuoFmzZli8eLHJ5+fNm4cFCxZg8eLFOHz4MIKDg/HMM8/g9u3bJdxSciiVSv6wW70uyg+bq1Y5/FGuOOj7YHk7HPD/jMoN8d9usbY8BFcaVeTUkErnzp3RuXNnk88JIbBw4UJMnjwZL7zwAgDgk08+QVBQENavX48RI0aUZFOJiIjIBqW2K5aamor09HRERUXpznl4eKBdu3bYv3+/4nW5ubnIysqSPYiIiO5HA5VdHmRaqZ00mp6eDgAICgqSnQ8KCsLFixcVr5szZw5mzJjh0LaRHThqSNuOw/TODmuUxOsLrZOzNsz5fjkqw8Xw/yAzWB54WmH7OhrO/pEqzUrtCEcRlcGHghDC6JzUpEmTkJmZqXtcunTJ0U0kIiKi+yi1IxzBwcEACkc6qlWrpjufkZFhNOoh5eHhAQ8PD4e3j4iIypeiiZ+21kGmldp3JiwsDMHBwUhMTNSdy8vLw+7du9GyZUsntoyIiMojLVR2eZBpTh3hyM7Oxrlz53Rfp6amIiUlBZUqVULNmjURGxuL2bNn4+GHH8bDDz+M2bNnw9vbG9HR0U5sNZU6Ns7bcNhcCVvnk5TA6pyOune7zg2Rvo+OfE+koVrO5yCyO6d2OI4cOYIOHTrovo6LiwMADBo0CGvXrsX48eNx7949jBw5Ev/++y+eeOIJ/Pjjj/D19XVWk4mIqJziSqOO5dQOR/v27SGK+UtCpVJh+vTpmD59esk1ioiIHkicw+FYpXbSKJVD9l5F1KbLbWxLSaySac1rlPQmaQqKe39tCrcYviclkTLL8AqRXbDDQUREhP8mjdq6DgcnjSpih4OIiAiAsEOWiWCHQxE7HORYZTmMYs3r2TPrw5rQgzM2RCtiZnhD6ftgVailpDJY6IFgj91euVusMs5uISIiIofjCAcRERGYpeJo7HCQ/TkxjGJV9ok5r+GMjdycvHmcjDnhDnO/VwqhD5tDLY4KrzBj5YHBkIpjsStGREREDscRDiIiIsAue6EwLVYZOxxU+pSxMIrKniEkGxW3cq9NLH2PiwuDWBj6kH5/GV4hR2JIxbEYUiEiIiKH4wgHEREROMLhaOxw0INDKYxiRrjA7LCJSwkMGmqVQwTODO/IwjnFvafSsIjS98TMTBazQiwMr5CZ2OFwLIZUiIiIyOE4wkFERASOcDgaOxxEREQABGxPa2VwTRk7HGQfJTx3wKxU2OJSXxWuV5wDYe7cjJJ4H9Rq5eekcwns2RYz5iioiplbIqtK6a1UmttRzLwLi1NmudkbFYMjHI7FORxEREROFh8fj7CwMHh6eiI8PBx79+5VLHv16lVER0ejXr16cHFxQWxsrMlyX3/9NRo2bAgPDw80bNgQ33zzjYNabx52OIiIiKAf4bD1YalNmzYhNjYWkydPxrFjx9CmTRt07twZaWlpJsvn5uaiSpUqmDx5Mpo1a2ayzIEDB9C7d28MGDAAx48fx4ABA/Dyyy/j119/tbh99qISDluasHTIysqCv78/2qMHXFVuzm5O+WXL8L2FK4sWXqLweubWJbneqjCKraEXWVWSsEBZ+HE0J3RieB8K1yjer1J4xMwwiFnhFUeGVMrC97EMKRD5SMJWZGZmws/Pz+71F/2eaPvdSLhW8LCproI7udjTLd6itj7xxBN49NFHsXTpUt25Bg0aoGfPnpgzZ06x17Zv3x7NmzfHwoULZed79+6NrKws7NixQ3fu2WefRUBAADZs2GD+DdkRRziIiIicJC8vD8nJyYiKipKdj4qKwv79+62u98CBA0Z1durUyaY6bcVJo0RERHDOpNHr169Do9EgKChIdj4oKAjp6elWtyM9Pd3uddqKHQ6yjhNWtLRqkzYpS8Moxd2jpJxZq3tK215M2EdWU2nKopCGKCRZMsohEYO2SzNrJNdIM1sUVyotbmVSM1YkVQyvmFkXPTiEUEHY2OGw9nrDzxEhhM0rBzuiTlswpEJEROQkgYGBUKvVRiMPGRkZRiMUlggODrZ7nbZih4OIiAiFi37Z42EJd3d3hIeHIzExUXY+MTERLVu2tPpeIiMjjer88ccfbarTVgypkHNYkZlicV3mhmDMCaMYZJ/IhiXNCZfIypj7gWTFe2TOwl/WZFCoTF+jkoYhFMIuhS8peU4abpGGppQyWaRvg2F4xJ4Ledm1Lm7sVhY5a+GvuLg4DBgwABEREYiMjMSKFSuQlpaGmJgYAMCkSZNw+fJlrFu3TndNSkoKACA7OxvXrl1DSkoK3N3d0bBhQwDAmDFj0LZtW8ydOxc9evTA1q1b8dNPP2Hfvn023Z8t2OEgIiJyot69e+PGjRuYOXMmrl69isaNGyMhIQGhoaEAChf6MlyTo0WLFrrj5ORkrF+/HqGhobhw4QIAoGXLlti4cSOmTJmCqVOnok6dOti0aROeeOKJErsvQ1yHg6xj68Sjklh7o5gRDvkIRWkd4bCCo0Y4zFkXo5i1LxRHOJTOK15bTNsVRiXMWpPDzLqsUr4/YktESa3D8fg3Y+yyDseh5z90WFvLMo5wkPnKYmaKtC5zOhlK2SeG7ZB2LJQ6E0plimuXjez694P0F7W0HyX9ZSwdPpaGXQx+Yaukl0jfe4XwiuLiYobvoxn7r1i830oxdVH5xr1UHIsdDiIiIjg3LfZBwCwVIiIicjiLRjjy8/NRr149bNu2TTcTlsgpzJgrYXaowpwwiuHrqV1MPqdS3z9UY3Zoyoo5GGbVbG7YRWGuhewvOFlIQyHUAsjCLSqNRl/MjPCK4uJggHkLhNkaXrEVM1bKDGGHkApHOJRZ1OFwc3NDbm6uU1cqIyIicgQB2/uE7FIqszik8sYbb2Du3LkoKChwRHuIiIioHLJ40uivv/6KnTt34scff0STJk1QoUIF2fObN2+2W+OIiIhKihYqqCxcKdRUHWSaxR2OihUr4sUXX3REW6i8s+fqotYwa70NhXkbasM5HGpJMWn6q8Kx0tyO4tpiDmvGf6XXFHe91sVkOZX0Gul8DKW5HYUFJceS986G+RyFr2nGhm8KDFOuzdrkjSmy5RqzVBzL4g7HmjVrHNEOIiIiKses+pOzoKAAP/30E5YvX47bt28DAK5cuYLs7Gy7No6IiKikFC38ZeuDTLN4hOPixYt49tlnkZaWhtzcXDzzzDPw9fXFvHnzkJOTg2XLljminUS2b9Imu0YhFVYpjGKwGZksjCJ9zlVyLCkjpOcNQyiKS7ZbkU6puAS5QhhFGioxvNbl/tdI2ygNjxhu9ib/yj7hlcI2F5MyqyvEkAiZRwg7ZKkwTUWRxSMcY8aMQUREBP799194eXnpzj///PPYuXOnXRtHRERE5YPFIxz79u3DL7/8And3d9n50NBQXL582W4NIyIiKkmcNOpYFnc4tFotNNKh0//8/fff8PX1tUujqBQpYxu2KW7QVvik6Yukr6eQpaIyrMtV8qMjCZfIQieK4RXldgkz3m9plohheZXSTqzSMhrT4RGjkITGdF0q6XlZOEqaJWKweZvkWDG8IvmgVtzszcRnj0kWZqwQAexwOJrFIZVnnnkGCxcu1H2tUqmQnZ2NadOmoUuXLvZsGxERUYnhpFHHsniE43//+x86dOiAhg0bIicnB9HR0Th79iwCAwOxYcMGR7SRiIiIyjiLOxwhISFISUnBhg0bcPToUWi1WgwdOhT9+vWTTSIlKnXMyUxxkWRNyMIjBj8q0jCKm+Q5ybFwU5s81hqGVKQbipnxx5GquAiBVmGBLq1CNopGet4gg0PhOeEiKScJccje02J2PlAOr8he3GQ7jDN8zNzkTVdIOWPFrI3dbM144UZupRqzVBzL4g4HAHh5eWHIkCEYMmSIvdtDRETkFIUdDlvncNipMeWQVQt/nT59Gq+//jqefvppdOzYEa+//jr+/PNPe7cNBQUFmDJlCsLCwuDl5YXatWtj5syZ0Br+JUZERESlmsUjHF999RX69u2LiIgIREZGAgAOHjyIJk2aYP369XjppZfs1ri5c+di2bJl+OSTT9CoUSMcOXIEgwcPhr+/P8aMGWO31yEHctT+KeZkshSX8aGUmSI9li7oZbCXilIYRetpOqSi9ZAcG9blKhnKNyO8opKFTQye0yiETqRRiQKtyTLS80bXS5+TXi9rryS8YthopRCLbEExhQwhyU0Kw2whadaKUnhFegkzVqgYzFJxLIs7HOPHj8ekSZMwc+ZM2flp06ZhwoQJdu1wHDhwAD169EDXrl0BALVq1cKGDRtw5MgRu70GERERUNgvt7VLyi6tMov//ExPT8fAgQONzvfv3x/p6el2aVSR1q1bY+fOnThz5gwA4Pjx49i3b1+x6be5ubnIysqSPYiIiMi5LB7haN++Pfbu3Yu6devKzu/btw9t2rSxW8MAYMKECcjMzET9+vWhVquh0Wgwa9Ys9O3bV/GaOXPmYMaMGXZtxwOnhBf7KnahLzNCMsUu9qVUTjEzRfIjoZYu1iXfS0UpjKL1kB7rr9HIjuX3q5WGVNRmhFSkf0IZzFBzkYQuZOESaeShwHQYRXre+DmtyfPIlyzWVcwCZrKvpG2ULogmLaMQalEZTN8StmR9GP7f4j4rDzyGVApNnToV06dPh9pgD6nMzEzExMRYvQSGWR2Ob7/9VnfcvXt3TJgwAcnJyXjyyScBFM7h+PLLL+3+i37Tpk347LPPsH79ejRq1AgpKSmIjY1FSEgIBg0aZPKaSZMmIS4uTvd1VlYWatSoYdd2ERFROcSYCgBg3bp1SExMxOeff446deoAAJKSkjBw4EBUr17d6npVQjFhXc+lmL8aZZWpVCaXPbdWjRo1MHHiRIwaNUp37r333sNnn31mdlZMVlYW/P390R494Kpys1vbyjV7jnCYM0JhzQiHi+m/rGUjHIZ/ZcsmgZpeY0PlLvk/orTWBgB46PcSepBHOFT5GpPHKJB/DqjyC0w/V6A/L6TZZ5LzsomhBpM+hfQ52bojCmtyFDdpVDLCobgOh0J5qzB/0mwFIh9J2IrMzEz4+fnZvf6i3xO1106Gi7enTXVp7+bg/CuzHNbWkpCZmYkRI0Zg+/btWLBgAc6cOYMPP/wQEydOxLRp04xGPsxl1giHs9JQ7969a9TZUavVTIsl8xh2lM3JTJF2UqQ/VAYdDnkGiv45jZf+uMBL0snw1NdbYNDh0LhLOhmSl5F2OIT051vye8pFY9Cp0pg+lnYm1PnS8/r3SJ1rkKUifS5P0vmQHivspaIy6OxJf7XKnpHu0SLd10US5pJ1ElwMYyoK29grMXOPFbMWASMqp/z9/bFx40ZMnjwZI0aMgKurK3bs2IGnn37apnodlLNoH926dcOsWbOwfft2XLhwAd988w0WLFiA559/3tlNIyKicqZopVFbH+XBokWL8L///Q99+/ZF7dq1MXr0aBw/ftymOq1aafTQoUNISkpCRkaG0WjDggULbGqQ1KJFizB16lSMHDkSGRkZCAkJwYgRI/DOO+/Y7TWIiIgAThot0rlzZxw+fBjr1q1Dr169cO/ePcTFxeHJJ5/EjBkzMH78eKvqtbjDMXv2bEyZMgX16tVDUFCQbOjUcBjVVr6+vli4cKFsd1oiIiJynIKCAvz2228ICQkBULidydKlS/Hcc89h2LBhJdfh+PDDD7F69Wq88sorVr0gPQBsnSiqxMKJokYdYJVCOen1Cqmw0jkbgOFEUf1zBd764/wK+rryvSRzOLwM5nBI5qhp9XNRZdMTZKtlSlcNNVppVH/sIpuroX9NdY5kPkeeyuQxAKhz9eW0uZL5HG76UU215HviolZ+712k8zMU5m1A6Vi6MqvBnHTZKqSyF7RwUzdr2LqRG5U+QmXeDor3q6OMS0xMNHm+a9euOHHihNX1WtzhcHFxQatWrax+QSIiotKIu8XeX2BgoNXXWjxpdOzYsViyZInVL0hERESll4uLC9RqteLDWhaPcIwbNw5du3ZFnTp10LBhQ7i5yde22Lx5s9WNIQJg24Zv0vCIYdhGcWM2pfU5igmpSL6Wpr/me+tfP6+C/vXyfaTH8mYVVJCELjwkx26ScIGr6T+bVEZpsZIQR67kOE9fxvWeJIySqz+vvievy1USenG9JznOMb3ZnOs9/bWG30HFMIpGEoqQhkGkK5DK0mIN3gdpiEX6vbfjekD0AOHCXwCAb775RvZ1fn4+jh07hk8++cSmBT4t7nC88cYb2LVrFzp06IDKlSvbfaIoERGRMzBLpVCPHj2MzvXq1QuNGjXCpk2bMHToUKvqtbjDsW7dOnz99de6HVyJiIio/HviiScwfPhwq6+3uMNRqVIl3drqVI6U1pEqpWwWczJTDEMzNmSmSFcTBQCNlzSkIslGkYZRfPXHef6QHMszGrR++mW81d764wpe+jiIm1qyhLgkM6NAIw/1FGgkIZ1cfbgzL0ff/vw7+mvUd/TlXe/K32u3O/qvNZLsGdlS7LK32NXE0X9t1phedlwaUpFmk8iWVpWeN0wGkf7/kL6GNf+fmXVCQLkIiTjCvXv3sGjRIjz00ENW12Fxh2P69OmYNm0a1qxZA29vb6tfmIiIqDRhSKVQQECAfPdnIXD79m14e3vjs88+s7peizscH330Ef766y8EBQWhVq1aRpNGjx49anVjiIiInIaTRgEA//vf/2QdDhcXF1SpUgVPPPEEAgICrK7X4g5Hz549rX4xerBZtdiX9HpLh8kNX086ZO6icCwLr0iO1fLwjMZd/3WBpzQDRRpS0ZfPrSQJHVSWpIYAqBKQrTsO9rmtOw7ylBx7ZOmbqNLXpZHHNHArXz/qeD2vgu742j19asy1bP357CwvfV235X88aG7r63ZT2mBOcSdpg48WSbhDLQmRSHeele4Wq5KGWqQZK8Us5qa4CBgRWcRRC3ta3OGYNm2aI9pBRETkZCoY7GdsZR1lz2+//WZ22aZNm1r1GqV6t1giIqISI+z0sEJ8fDzCwsLg6emJ8PBw7N27t9jyu3fvRnh4ODw9PVG7dm0sW7bMqMzChQtRr149eHl5oUaNGhg7dixycnJM1te8eXO0aNECzZs3L/bRokUL624QVi5tXtzQtoYL7pClbFnoC1Be7Mvg/6lKbTqMIg2XCLVCloq7QUjFQ7I3irckjKKPViA3QB8WcKmi/yGvUeVfWV1NAq7ojh/1uag/7/G37jhErc9Y8XVR/rG9qdVnuZzP99Mdn8kL1h3/fqe6/nxWVd3x37cqyuq646kPt2hd9a8pCzVJM38k4R2VQZKHqkD/XkozVqQhFVWB5LND+r3SSjOSDP+vmJFNwgXBqJTbtGkTYmNjER8fj1atWmH58uXo3Lkz/vjjD9SsWdOofGpqKrp06YLhw4fjs88+wy+//IKRI0eiSpUqePHFFwEAn3/+OSZOnIjVq1ejZcuWOHPmjC5U8r///c9knY5mcYfDUSuQEREROZWTJo0uWLAAQ4cOxbBhwwAUjkz88MMPWLp0KebMmWNUftmyZahZs6ZuJ/UGDRrgyJEjeP/993UdjgMHDqBVq1aIjo4GANSqVQt9+/bFoUOHTLYhNDTU8oZbyOI/LXv06CF79OrVC7NmzcK8efPw7bffOqKNREREjle0W6ytDwvk5eUhOTkZUVFRsvNRUVHYv3+/yWsOHDhgVL5Tp044cuQI8vMLt4lu3bo1kpOTdR2M8+fPIyEhodhFO9u2bYtbt27pvv72229x7949xfKWsniEQ4mtK5BRGWdrWMTi11P4oVYVM/wu29JeYXt7yRbr0lCLxiCkIstMkYZU/CSZEpX0+8PXlIRR2lc9K6vrOb8U3XG4h2SFLSgdK/ORNLOmqz7c0N5LH7b5zeu87ni3Vz3d8WEv+V84p9z1YZgban3KTR702SwqyUJjLvpoDlwKDLa6z5OEYfIlx5LzKsmia5CGV5S+b4ZfSz/ohekwimxtAaPoDHNbqORdv34dGo0GQUFBsvNBQUFIT083eU16errJ8gUFBbh+/TqqVauGPn364Nq1a2jdujWEECgoKMBrr72GiRMnKrZl3759yMvTh2/79++PlJQU1K5d24Y71LPLbwl7rEBGRETkTEXb09v6sIbh3EghRLHzJU2Vl55PSkrCrFmzEB8fj6NHj2Lz5s3Ytm0b3n33XbPbJKy9GQUWj3A4agUyIiIip3LCHI7AwECo1Wqj0YyMjAyjUYwiwcHBJsu7urqicuXKAICpU6diwIABunkhTZo0wZ07d/Dqq69i8uTJcFFcQ8dxLO5wFE1SKWKvFciIiIgeNO7u7ggPD0diYiKef/553fnExESTu7YCQGRkJL777jvZuR9//BERERG61b/v3r1r1KlQq9UQQhQ7cvHDDz/A379w8yetVoudO3fi999/l5Xp3r27+TcoYXGHY9CgQVa9EJHZzNmwTcLsFUgtXV1UskmZ1l3+GvK0WP35Al/9vAnfind1x9LU106+J2R1yedtOF5Td0/dcbD6D92xr1o+OUwtWbkzRTJX45ZkCdX8PP37oM6VHstf0zVHf71acuwiST0WuabTYlVKm/PBxMqjpZ2dh6jJzqyY9GmyDgvFxcVhwIABiIiIQGRkJFasWIG0tDTExMQAACZNmoTLly9j3bp1AICYmBgsXrwYcXFxGD58OA4cOIBVq1Zhw4YNujq7deuGBQsWoEWLFnjiiSdw7tw5TJ06Fd27d4darTbZDsD4d/yIESNkX6tUKquXvzC7w5GWlmZWOVM5w0RERKWdShQ+bK3DUr1798aNGzcwc+ZMXL16FY0bN0ZCQoIuVfXq1auy38FhYWFISEjA2LFjsWTJEoSEhOCjjz7SpcQCwJQpU6BSqTBlyhRcvnwZVapUQbdu3TBr1izFdmi1jt0l2ewOR61atUz+JSmd2KJSqVBQUGBUhoiIqNRz4uZtI0eOxMiRI00+t3btWqNz7dq1K3azVFdXV0ybNq1UbUdidofj2LFjJs8LIbBx40Z89NFH8PHxMVmGyFo2bdhmtHmbwiqksrRL/VC+1lWaFmsQUpFEQTReklTYCvoOd2iAPhW2td8Z3fGTnsrDmSWtqlq/NOpzFeQrDeZo9emv/+bq40Z3c/Q3n39Xfy8Fd/TvkauH/HU0bpLwlJvCpniS9xv5pkNeKDD8niqlQTv2LzUispzZHY5mzZoZnfvpp58wceJEnDlzBuPHj8e4cePs2jgiIqIS46Q5HA8Kqxb+Sk5OxsSJE7F3714MGzYMCQkJqFq16v0vJCIiKq2cGFJ5EFjU4Th37hwmT56Mr7/+Gi+//DL++OMPu61ARuQ0CmEbIVt1VF5GKwkRaNz1nzAeFfSr9NX01odUmnvos1QAyQ5vpUigWt6u5p76SWpnffTrAVyu4K87vu6lj51oJKuvSrN4AHkISvreSTOBpO+xSmkTPqNMJdOz5WVrBZW1TBaicsrslT9GjhyJRo0aITMzE0eOHMH69evZ2SAiovLDidvTlza3bt3Cxx9/jEmTJuHmzZsAgKNHj+Ly5ctW12n2CMeyZcvg6emJjIwMDBkyRLFccbNmiYiISi2GVAAAv/32Gzp27Ah/f39cuHABw4cPR6VKlfDNN9/g4sWLuvVALGV2h6M0pdYQOYps/y+FYwAQkkQT4ar/hHF312epBHtk6o4fcSudYZTi1HXL0R1X97ilO/bz1J+/4aHPTNO66z9OtAafLLL3S3KslWSgqJUWZlPKKAKUs5KsW5fIJGl4R3CDN3oAxMXF4ZVXXsG8efPg66tf6K9z58667e6twQ4HERERwCyV/xw+fBjLly83Ol+9enXFHWzNYbft6YmIiMoyZ600Wtp4enoiKyvL6Pzp06dRpUoVq+tlh4NKNekmQ2b93VDckLfSPhYK54v94FCZPvZ004dUAlzvFFNB6Rfg4qU79lHrwyiuKv2iWioXyZuk8J4AgHCRHqtMlpOHsEyHSgwXgpNlo0ifUAqvSEM1Vu4HQVTe9ejRAzNnzsQXX3wBoPDnLC0tDRMnTpQtn26pkt+floiIqDRilgoA4P3338e1a9dQtWpV3Lt3D+3atUPdunXh6+tb7F4s98MRDiIiItLx8/PDvn378PPPP+Po0aPQarV49NFH0bFjR5vqtbjDcffuXXh7e9+/IJG9SXcyLGZ7ZX15M8Mr0rCN5BqVRnresG7J5dLRe23ZnzBWRK0yPQCqdpHcvPR2i/vLTigcS8kyTiTnFcIrRpQW+GIYhcykgh3mcNilJc514cIF1KpVC0899RSeeuopu9VrcUilYsWKaNmyJd5++2388MMPuHOnbMepiYiISK927dpo3bo1li9frlv0yx4s7nDs3r0b3bt3x9GjR/HSSy8hICAATz75JCZOnIgdO3bYrWFEREQlqigt1tZHGXfkyBFERkbivffeQ0hICHr06IEvv/wSubm5NtVrcYcjMjISEydOxPfff49///0Xe/bsQf369fHBBx/gueees6kxRERETsNJowCARx99FPPnz0daWhp27NiBqlWrYsSIEahatWqxK43fj1WTRv/8808kJSVh9+7dSEpKQn5+Prp164Z27dpZ3RAiHencC6WYvWTehSx1VkgnVxhMvJDG77WSOSAaSTmN6TkcLgXyTxGXAumxvo15BfofqWyNp+m2lxHZWn0qrPRe7ubrd2LT5ktWCpVO7TCYKiGNi6uU0pOtYcPGbIYptqI8/KYgsiOVSoUOHTqgQ4cOeO211zB06FB88sknWL16tVX1WdzhCA4ORn5+Pp566im0b98eb7/9Npo0aWLVixMREZUa3EtF5tKlS9iwYQPWr1+PEydOIDIyEosXL7a6Pqs6HKdOnUJaWhrS0tLw999/IywsDD4+Pve/mIiIqJTiSqOFVqxYgc8//xy//PIL6tWrh379+mHLli2oVauWTfVa3OFISUnBrVu3sGfPHuzevRtTp07FyZMn0bRpU3To0AH/93//Z1ODyEmkw9zWDFNLwxcK6ZTSja+kG2IZhT4UrlckTZeVtt1g6F4opL9Kr1dJwi6qAv15dZ5BSCVfEm6RzKPKzXHTHWfk6Tc9uqvN0x17u+hDEqXZFcl78U++n+74Tp6k/bn60JRLnv69l4acAHmIRXYs+z5Ijy1vLxHZx7vvvos+ffrgww8/RPPmze1Wr1VzOCpWrIju3bujdevWaNWqFbZu3Yr169fjyJEj7HAQEVHZxJAKACAtLc1ojpM9WNzh+Oabb5CUlISkpCScPHkSlStXRps2bfC///0PHTp0sHsDiYiISsQD3OH47bff0LhxY7i4uODEiRPFlm3atKlVr2Fxh2PEiBFo27Ythg8fjvbt26Nx48ZWvTCRpeQhETNWHTVcaVSapVKgH/NXqSUhHEkYxSVPX14aQgEA1xzJ8V39XwJ3s/XhhrPZVXXHhyrqszzae5WNeMHRnId0x39lB+qOM2/rN3VzuSfJUpG8J+pc+fslDUnJV3BVOFZYCZaIHKN58+ZIT09H1apV0bx5c6hUKvln7n9fq1QqaKxcsdfiDkdGRoZVL0RERFSaPciTRlNTU3Vbz6empjrkNayaw6HRaLBlyxacOnUKKpUKDRo0QI8ePaA2Z38LC12+fBkTJkzAjh07cO/ePTzyyCNYtWoVwsPD7f5aRET0ALPHSqFldKXR0NBQ3fHFixfRsmVLuLrKuwgFBQXYv3+/rKwlLO5wnDt3Dl26dMHly5dRr149CCFw5swZ1KhRA9u3b0edOnWsaogp//77L1q1aoUOHTroVjv766+/ULFiRbu9BjmHYsaKIUsXAZNmmRiWl3wQCGlmSoFkeDBfH2pxydP/eKhz5UOIrpJQgtsdfUdbfUt/TerNSrrjn/wb6Y4buh+U1VVVXQGlwZl8+b5Ix+421x3/fbui7jhfEjZyu6d/T11lIRV53WppVo9kETWVdEE1jRlhFMMwGcMtZE8P8BwOqQ4dOuDq1auoWrWq7HxmZiY6dOhQciGV0aNHo06dOjh48CAqVSr8QL1x4wb69++P0aNHY/v27VY1xJS5c+eiRo0aWLNmje6crXnAREREpKxoroahGzduoEIF6/9AsrjDsXv3bllnAwAqV66M//u//0OrVq2sbogp3377LTp16oSXXnoJu3fvRvXq1TFy5EgMHz5c8Zrc3FzZBjNZWVl2bRMREZVPD/IcDgB44YUXABROEH3llVfg4eGhe06j0eC3335Dy5Ytra7f4g6Hh4cHbt++bXQ+Ozsb7u72XdDo/PnzWLp0KeLi4vD222/j0KFDGD16NDw8PDBw4ECT18yZMwczZsywazseOCWwCJhV10uG04XktFLGitDIs0FkdyK9Lxd9ZfLwiiRLJUc+hOh2V/86brf117vf0tebfU3/l8AB3zDdcTX3W7K6Yvwv6ptvzftlg0ztPd3xz3cekT134laI7vj6Lf1Kwi63pfcuCanc1X9/XHMMslRypdk/knCW5D2WfR810sXYpPvj2O/TXDAcQ4Ye8JCKv78/gMKfDV9fX3h56TPS3N3d8eSTTxb7B//9WNzheO655/Dqq69i1apVePzxxwEAv/76K2JiYtC9e3erG2KKVqtFREQEZs+eDQBo0aIFTp48iaVLlyp2OCZNmoS4uDjd11lZWahRo4Zd20VERFTeFE1fqFWrFsaNG2dT+MQUi/+c+uijj1CnTh1ERkbC09MTnp6eaNWqFerWrYuFCxfatXHVqlVDw4YNZecaNGiAtLQ0xWs8PDzg5+cnexAREd2X0IdVrH2U5RGOItOmTbN7ZwOwYoSjYsWK2Lp1K86dO4dTp05BCIGGDRuibt26dm9cq1atcPr0adm5M2fOWJ2SQw8A6TC51nCPFtP7rMgyViRZKsjL1x2q78lTvl0lmSkeWfp+e4GX/rzGW5Kx4l5Fd7wZLWR15Qv9Nb19f9cdV3N1zIaI0jDK1mz96N/+THmG2aVbFXXHmkx9uNTjtjRDR1/eVV+t0cJfLtKQSr7pcIl07xrZ966YRcCE0nMKe+UQFesBD6lIffXVV/jiiy+QlpaGvLw82XNHjx61qk6rA8Z169ZFt27d0L17d9StWxebN2+2erlTJWPHjsXBgwcxe/ZsnDt3DuvXr8eKFSswatQou74OERERFfroo48wePBgVK1aFceOHcPjjz+OypUr4/z58+jcubPV9VrU4Vi5ciVeeuklREdH49dffwUA/Pzzz2jRogX69++PyMhIqxtiymOPPYZvvvkGGzZsQOPGjfHuu+9i4cKF6Nevn11fh4iISDfCYeujjIuPj8eKFSuwePFiuLu7Y/z48UhMTMTo0aORmZlpdb1mdzjef/99jBo1Cqmpqdi6dSueeuopzJ49Gy+//DJ69uyJtLQ0LF++3OqGKHnuuedw4sQJ5OTk4NSpUzbNkCUiIlJi6/wNe6TVlgZpaWm69FcvLy9dZuqAAQOwYcMGq+s1ew7HqlWrsGzZMgwZMgRJSUl46qmn8PPPP+PcuXNc+ZMcx4wUW8VN3VxclMsprZQnmeehypNc76o8h8PdVX+N1k2ymqmr9PX1cyDOa+Sr923Mi9A/V1U/16O13xnd8WMel3XHYW7mze34V3NXd3wi31t3fPReA93xoVv6dN1T14Nk12df108ac7slTYXVl3G9I0mFvad/79U58nkT6nzTm+IpzduQpcJqFOZ2AAZzNcz4pLdiPodQqldwbgiVT8HBwbhx4wZCQ0MRGhqKgwcPolmzZkhNTbUpndzsEY6LFy+iY8eOAID27dvDzc0Ns2bNYmeDiIioHHnqqafw3XffAQCGDh2KsWPH4plnnkHv3r3x/PPPW12v2SMcOTk58PTUb7Ht7u6u21mOiIiozGOWCgBgxYoV0P43GhgTE4NKlSph37596NatG2JiYqyu16K02I8//hg+PoXDuQUFBVi7di0CAwNlZUaPHm11Y6gUKoFVRw2HrIvdzK2IOZu6GV2jb4v0FaVXC2lIRXpsEJ5xkXztpjYdRpFtGilZGtUlT74ib0ZOZd3xD7f1oY8TlfQrfe7wvak7ruV1Q3fsbbhLmkSu1k13fPGe/jXSsgN0x5cz/XXHd27oXxsAXG/oPx7cM/U3435b/+65SVcXvSddaVQeslJJVhdFgTQNWVJOusqrmWmxSmGNUrWKaGlqCxXrQV/avIiLi4vsM+7ll1/Gyy+/bHO9Znc4atasiZUrV+q+Dg4Oxqeffioro1Kp2OEgIiIqY3777Tezy1q7BIbZHY4LFy5Y9QJERERlRjkYobBG8+bNoVKp7js6qFKpSm57eiKnsWVTN0CetSJ9ThoqkmRECJUkm0Ky6mjhJfprXCTHbrKwkz50opLuL5cnDwGpc/UZILm39ZkhF27o50yl+el3Zz7sXVN37O0hXwHQTa1vc16B/sf7To6+LTl39cfijr6Ma6Y8E0caRpFlptyVHEs2aVNLwijSDdoKv9av4KoURpFtnCfLUtGfN9yQTx5uUcgaUfoANSerhR4sTpzDER8fj/nz5+Pq1ato1KgRFi5ciDZt2iiW3717N+Li4nDy5EmEhIRg/PjxRvMrbt26hcmTJ2Pz5s34999/ERYWhg8++ABdunQxqi81NdW6hluAHQ4iIiIn2rRpE2JjYxEfH49WrVph+fLl6Ny5M/744w/UrFnTqHxqaiq6dOmC4cOH47PPPsMvv/yCkSNHokqVKnjxxRcBAHl5eXjmmWdQtWpVfPXVV3jooYdw6dIl+Pr6mmxDSWwZUrJ7YRMREZVSzlr4a8GCBRg6dCiGDRuGBg0aYOHChahRowaWLl1qsvyyZctQs2ZNLFy4EA0aNMCwYcMwZMgQvP/++7oyq1evxs2bN7Flyxa0atUKoaGhaN26NZo1a2ZWmz799FO0atUKISEhuHjxIgBg4cKF2Lp1q+U3+B+OcFDJMSNjpbCYZIEupQwUCxcEA5QXBROSIXulfBdh0A55Bov+WB6UkJSXhDfUefIfO9d7koyXbH1deb76cgXe+ppzvD10x3c9DDYzU0sXQZO0MV/SxhzJsSQi43pXfo/SMIpbtjQzRf8+yhb7km7QlmeQpSIJo8g2yNMqLOolzSiSZawYhE2ksWSlDdukdRUXn+ZCXuSEkEpeXh6Sk5MxceJE2fmoqCjs37/f5DUHDhxAVFSU7FynTp2watUq5Ofnw83NDd9++y0iIyMxatQobN26FVWqVEF0dDQmTJgAtVrpk6rQ0qVL8c477yA2NhazZs3SzdmoWLEiFi5ciB49elh2k//hCAcREZGTXL9+HRqNBkFB8pV+g4KCkJ6ebvKa9PR0k+ULCgpw/fp1AMD58+fx1VdfQaPRICEhAVOmTMEHH3yAWbNm3bdNixYtwsqVKzF58mRZ5yQiIgInTpyw9BZ1zBrhyMrKMrtCPz8/qxtDRETkLM5ch0NlsM6REMLo3P3KS89rtVpUrVoVK1asgFqtRnh4OK5cuYL58+fjnXfeKbYtqampaNGihdF5Dw8P3Llzx6z7McWsDkfFihWLvXFA/+ZYmy5DZYCti4DJ6nJQeEUrqcvF9A8kYEV4pcCgLsmx9BmVtL2S13Mp0GeGSPcVAQB1jiRTRBJecc/SH+frk1dQ4KU/L1nbq7Bd0rdS0jBplowk+QbSdcPUufJPSmk2iiyMIjmWZaZIwyaSrBTAYM8UjWWZKbJQiWGWijRDqbgFwizE/VMeUE4IqQQGBkKtVhuNZmRkZBiNYhQJDg42Wd7V1RWVKxcu8letWjW4ubnJRigaNGiA9PR05OXlwd1dvgChVFhYGFJSUowmku7YsQMNGza06P6kzOpw7Nq1y+oXICIiItPc3d0RHh6OxMRE2T4liYmJinMlIiMjdXudFPnxxx8REREBN7fCv0JatWqF9evXQ6vV6lYNPXPmDKpVq1ZsZwMA3nrrLYwaNQo5OTkQQuDQoUPYsGED5syZg48//tjqezWrw9GuXTurX4CIiKhMcNI6HHFxcRgwYAAiIiIQGRmJFStWIC0tTbeuxqRJk3D58mWsW7cOQOH+JosXL0ZcXByGDx+OAwcOYNWqVbKt41977TUsWrQIY8aMwRtvvIGzZ89i9uzZZq0GPnjwYBQUFGD8+PG4e/cuoqOjUb16dXz44Yfo06eP5Tf4H6uyVPbu3Yvly5fj/Pnz+PLLL1G9enV8+umnCAsLQ+vWra1uDJUhhkPWtoZYzHlJc8IrUsUs7KS4QJg0vCINweTLQwSyuiTHKoVjF+nW6/nyOIh0nxHXHP3wZ4Gn/tg9W9+uAg99zVo3+fugMQix6F5DGg2T3m6BJOwjX9sMrrnS0InCAl+5kvCI9DjfILQqef9kYRRZSEVhgS+tpIxBSEMWRjEnM0X6f8KR4RHun1ImOWsOR+/evXHjxg3MnDkTV69eRePGjZGQkKALaVy9ehVpaWm68mFhYUhISMDYsWOxZMkShISE4KOPPtKtwQEANWrUwI8//oixY8eiadOmqF69OsaMGYMJEyaY1abhw4dj+PDhuH79um4+CABcvnwZ1atXt/wmYUWH4+uvv8aAAQPQr18/HD16FLm5hUHg27dvY/bs2UhISLCqIURERE7lxJVGR44ciZEjR5p8bu3atUbn2rVrh6NHjxZbZ2RkJA4ePGhdg/5TtEFreno6Zs2ahY8//hj37t2zqi6L02Lfe+89LFu2DCtXrtTFigCgZcuW9715IiIiKp1u3bqFfv36oUqVKrpRE61Wi3feeQe1a9fGwYMHsXr1aqvrt3iE4/Tp02jbtq3ReT8/P9y6dcvqhhARETmVE0c4SoO3334be/bswaBBg/D9999j7Nix+P7775GTk4MdO3bYPJ/T4g5HtWrVcO7cOdSqVUt2ft++fahdu7ZNjaEyzJaUWcNYejFpsvpLFOZzmJluK6tLKV1WWsZgZT6VQvq3bD6HUr0GqZ2ukvkOWskqpC65+mPtPf3ru3pI5pm4yt9r6ZwOofB9kLVLchsqjfyTUrZyqCStVWnehnSDNtncDJi5MZu0jFZpBVGDT3PZKqRMhSXbOHMdjtJg+/btWLNmDTp27IiRI0eibt26eOSRR7Bw4UK71G9xSGXEiBEYM2YMfv31V6hUKly5cgWff/45xo0bpxh/IiIiotLtypUrunU2ateuDU9PTwwbNsxu9Vs8wjF+/HhkZmaiQ4cOyMnJQdu2beHh4YFx48bh9ddft1vDiIiIStQDHlLRarWyuZlqtRoVKlQo5grLWJUWO2vWLEyePBl//PEHtFotGjZsCB8fH7s1ih5wFoZFzAqvGFJYkdSc8ApgEDpRGPKXtUuaFmu4WqYklOBSoBCucNOHVNQe+mOtq8H7o5bcizmpw9JIWIG8XdIQi2wVUYVj6X0YpRHLUmH1zyluzCZbXVSaLmsQylJIi7U5FdbSMArTYMuFBz2kIoTAK6+8Ag+Pwg0ic3JyEBMTY9Tp2Lx5s1X1WxxSWbVqFQDA29sbERERePzxx+Hj44OCggJMmjTJqkYQERGRcw0aNAhVq1aFv78//P390b9/f4SEhOi+LnpYy+IRjjfffBMJCQlYuXIlKlWqBAD4888/ER0djczMTMyZM8fqxhARETnNAx5SWbNmjUPrt7jDcezYMQwYMABNmjTB2rVrcebMGbz11lvo1asXlixZ4og2UlnjhE3e9MXNXI1UacM3aRGl1UgNy0nuUekVheT1VIbD74rZLNIQhSRLJk9/7GIQUhGGIRZdBWZ8HwyyVORtUVh11ZyN2ADlMIrGjOyV4jZlsyGMopiVYi6GUcqfB7zD4WgWdzjCwsKwZ88ejB07Fs8++yzUajXWrVtn0/rqREREVL5ZPIcDALZt24YNGzagZcuWqFixIlauXIkrV67Yu21EREQlRmWnB5lm8QjHiBEj8Mknn+C9997Dm2++iX/++QdDhgxBkyZNsHTpUrz88suOaCeVVaUkvFJ4icLrK9UrzTgxeDnFDd+kIQaldsEgg0O2EJfkeo3kx1MtCT3kSxqjljdM5WI6+8as994oXGE6A0QWOlFa0Mwgm8SmMIrCpmxG5cxQbBjFnMwUhlHKN4ZUHMriDscvv/yCX3/9Fc2aNQMABAcHIyEhAUuWLMGQIUPY4SAiojLpQU+LdTSLOxzJycm6HF2pUaNGoWPHjnZpFBEREZUvFnc4THU2itSrV8+mxlA558TwSuElpv/0MGsvFoNrFTNYFMIrsrCJYXxG8pxs/xNpGEMaKpHs66IyfB+lIRab32OF7BClMIhWYeEuQHlvFHPCKEplDClkpticjUIPDoZUHMqsDsejjz6KnTt3IiAgAC1atDD+kJPgFvVERFRmscPgMGZ1OHr06KEb2ejRo0exHQ4iIiIiQ2Z1OKZNm6Y7nj59uqPaQg+S4obGbd3eXleP5aEWs7e6V8pgkWaZSO9DGjYxbKZ0yF8SLlEMtUj3LDHIUkGBpJyLVVnvegpbv5u1wJbhwl8K+6QohZ0UF/QyaqMV+6RYWp6ZKQ8MThp1LLM/ke7evYtRo0ahevXqqFq1KqKjo3H9+nVHto2IiKjkCDs9yCSzOxzTpk3D2rVr0bVrV/Tp0weJiYl47bXXHNk2IiIiKifMzlLZvHkzVq1apVvCvH///mjVqhU0Gg3U0mFgIiKiMoghFccyu8Nx6dIltGnTRvf1448/DldXV1y5cgU1atRwSOPoAWWv9NniYvQK8zvMms9hyI6bv8nSZ6XnZauGSlJvtQbvj8p0Oaso3bM5czgM04iVUl4tnbdhmOJq6cZsnLdBxWFarEOZ/Ymk0Wjg7u4uO+fq6oqCggKFK4iIiIgKmT3CIYTAK6+8Ilv4KycnBzExMahQoYLu3ObNm+3bQiIiohLAkIpjmd3hGDRokNG5/v3727UxREbsuTqprN77r1Ra3AqVlq5Oam54RTEVVpZ7K1mB1PA9UdqgzprwilL4QeF9UQybFD6pUJdCGMWKkIjNYRQihlQcyuwOx5o1axzZDiIiIudih8OhbJxVRkRERHR/Fm/eRuQ0SsPy9twITlavcn/c4mwWSSaLMPwTSHK9YrhF4d6F4b0bbgynb4DCeStY2EbDa8zOQNFdUEJhFGamPPA4h8Ox2OEgIiICGFJxsDIVUpkzZw5UKhViY2Od3RQiIiKyQJkZ4Th8+DBWrFiBpk2bOrspVNqUdKgFMFh8y/TrW7NwmCzcIr1eaVM4QyURFiguy0bXDDM3XJNdZOEiXmZer1yef4qSnEoIqGz8f2Hr9eVZmRjhyM7ORr9+/bBy5UoEBAQ4uzlERFQecfM2hyoTHY5Ro0aha9eu6Nix433L5ubmIisrS/YgIiIi5yr1IZWNGzfi6NGjOHz4sFnl58yZgxkzZji4VVQmFDe0ac9wi4ULh6kMF+cyI7NFVlwp7ALIQi9Kig3JSF/H0qFhO4Y+GEYhZ2CWimOV6hGOS5cuYcyYMfjss8/g6elp1jWTJk1CZmam7nHp0iUHt5KIiMoFhlQcqlSPcCQnJyMjIwPh4eG6cxqNBnv27MHixYuRm5sLtVotu8bDw0O23wsRERE5X6nucDz99NM4ceKE7NzgwYNRv359TJgwwaizQWQ2e2a2WLhwmFV7tChRCLsUx2jhMXuxYrEts0Intu6FwjAKmYkhFccq1R0OX19fNG7cWHauQoUKqFy5stF5IiIim3DhL4cq1R0OIiKiksIRDscqcx2OpKQkZzeByjMnhloKL7n/p5XFYRcnMDvLRLkCG6/npz5RaVOqs1SIiIhKjBOzVOLj4xEWFgZPT0+Eh4dj7969xZbfvXs3wsPD4enpidq1a2PZsmWKZTdu3AiVSoWePXta1zg7YYeDiIjoP0VhFWsf1ti0aRNiY2MxefJkHDt2DG3atEHnzp2RlpZmsnxqaiq6dOmCNm3a4NixY3j77bcxevRofP3110ZlL168iHHjxqFNmzbWNc6O2OEgIiJyogULFmDo0KEYNmwYGjRogIULF6JGjRpYunSpyfLLli1DzZo1sXDhQjRo0ADDhg3DkCFD8P7778vKaTQa9OvXDzNmzEDt2rVL4laKxQ4HkTmEUH5YXJfWvIfi5cJuj5Ko16r3wuzr7fQ9IQKK/zm35GGBvLw8JCcnIyoqSnY+KioK+/fvN3nNgQMHjMp36tQJR44cQX5+vu7czJkzUaVKFQwdOtSiNjlKmZs0SkRE5AjOyFK5fv06NBoNgoKCZOeDgoKQnp5u8pr09HST5QsKCnD9+nVUq1YNv/zyC1atWoWUlBTLGuRAHOEgIiJyMsM9joQQxe57ZKp80fnbt2+jf//+WLlyJQIDA+3fWCtxhIPIVvZMpZXVa0ZooZgUW/NeovSsOmpevQyXkAM5YeGvwMBAqNVqo9GMjIwMo1GMIsHBwSbLu7q6onLlyjh58iQuXLiAbt266Z7Xagt/Jl1dXXH69GnUqVPHsobaAUc4iIiIAKi09nlYwt3dHeHh4UhMTJSdT0xMRMuWLU1eExkZaVT+xx9/REREBNzc3FC/fn2cOHECKSkpukf37t3RoUMHpKSkoEaNGpY10k44wkFEROREcXFxGDBgACIiIhAZGYkVK1YgLS0NMTExAAp3Qb98+TLWrVsHAIiJicHixYsRFxeH4cOH48CBA1i1ahU2bNgAAPD09DTa/qNixYoA4NRtQdjhIHIUc4f/bQm9lNKVRm3G0Ak5g5P2Uunduzdu3LiBmTNn4urVq2jcuDESEhIQGhoKALh69apsTY6wsDAkJCRg7NixWLJkCUJCQvDRRx/hxRdftLHxjqUSonz/ZGdlZcHf3x/t0QOuKjdnN4fImK1zPcqj8v2xRBYqEPlIwlZkZmbCz8/P7vUX/Z54vMd7cHXztKmugvwcHNo6xWFtLcs4wkFERATYZx0XdpYVscNB5GzmfECVp1EQfiATPZDY4SAiIgK3p3c0djiIiIgAp00afVCww0FUFpRExoutGCohomKww0FERASGVByNHQ4iIiKAWSoOxg4HUXnCDzsiKqXY4SAiIgJDKo7GDgcRERHALBUH426xRERE5HAc4SAiIgJDKo7GDgcREREAaEXhw9Y6yCR2OIiIiADO4XAwzuEgIiIih+MIBxEREQAV7DCHwy4tKZ/Y4SAiIgK40qiDMaRCREREDscRDiIiIjAt1tHY4SAiIgKYpeJgDKkQERGRw3GEg4iICIBKCKhsnPRp6/XlGTscREREAKD972FrHWQSQypERETkcBzhICIiAkMqjsYOBxEREcAsFQdjh4OIiAjgSqMOxjkcRERE5HAc4SAiIgJXGnU0djiIiIgAhlQcjCEVIiIicjiOcBAREQFQaQsfttZBprHDQUREBDCk4mAMqRAREZHDcYSDiIgI4MJfDlaqRzjmzJmDxx57DL6+vqhatSp69uyJ06dPO7tZRERUDhUtbW7rg0wr1R2O3bt3Y9SoUTh48CASExNRUFCAqKgo3Llzx9lNIyIiIguU6pDK999/L/t6zZo1qFq1KpKTk9G2bVsntYqIiMolThp1qFLd4TCUmZkJAKhUqZJimdzcXOTm5uq+zsrKcni7iIioHBAAbE1rZX9DUakOqUgJIRAXF4fWrVujcePGiuXmzJkDf39/3aNGjRol2EoiIiqrOIfDscpMh+P111/Hb7/9hg0bNhRbbtKkScjMzNQ9Ll26VEItJCIisk58fDzCwsLg6emJ8PBw7N27t9jyu3fvRnh4ODw9PVG7dm0sW7ZM9vzKlSvRpk0bBAQEICAgAB07dsShQ4cceQv3VSY6HG+88Qa+/fZb7Nq1Cw899FCxZT08PODn5yd7EBER3ZeAfh6H1Q/LX3bTpk2IjY3F5MmTcezYMbRp0wadO3dGWlqayfKpqano0qUL2rRpg2PHjuHtt9/G6NGj8fXXX+vKJCUloW/fvti1axcOHDiAmjVrIioqCpcvX7byzbGdSojSO/4jhMAbb7yBb775BklJSXj44YctriMrKwv+/v5ojx5wVbk5oJVERORIBSIfSdiKzMxMh/wRWfR74qlmE+Cq9rCprgJNLn4+Pteitj7xxBN49NFHsXTpUt25Bg0aoGfPnpgzZ45R+QkTJuDbb7/FqVOndOdiYmJw/PhxHDhwwORraDQaBAQEYPHixRg4cKCFd2UfpXqEY9SoUfjss8+wfv16+Pr6Ij09Henp6bh3756zm0ZERGSzvLw8JCcnIyoqSnY+KioK+/fvN3nNgQMHjMp36tQJR44cQX5+vslr7t69i/z8/GKTLhytVHc4li5diszMTLRv3x7VqlXTPTZt2uTsphERUXmjtdPDAtevX4dGo0FQUJDsfFBQENLT001ek56ebrJ8QUEBrl+/bvKaiRMnonr16ujYsaNlDbSjUp0WW4qjPUREVM7YI8vE2utVKpXsayGE0bn7lTd1HgDmzZuHDRs2ICkpCZ6enla1zx5KdYeDiIioPAsMDIRarTYazcjIyDAaxSgSHBxssryrqysqV64sO//+++9j9uzZ+Omnn9C0aVP7Nt5CpTqkQkREVGJszlCxfKVSd3d3hIeHIzExUXY+MTERLVu2NHlNZGSkUfkff/wRERERcHPTJ0fMnz8f7777Lr7//ntERERY1C5HYIeDiIgIcEqHAwDi4uLw8ccfY/Xq1Th16hTGjh2LtLQ0xMTEAChcX0qaWRITE4OLFy8iLi4Op06dwurVq7Fq1SqMGzdOV2bevHmYMmUKVq9ejVq1aumSLrKzs21/n6zEkAoREZET9e7dGzdu3MDMmTNx9epVNG7cGAkJCQgNDQUAXL16VbYmR1hYGBISEjB27FgsWbIEISEh+Oijj/Diiy/qysTHxyMvLw+9evWSvda0adMwffr0ErkvQ6V6HQ574DocRERlW0mtw/F0gzftsg7HzlMfOKytZRlHOIiIiIDClFblxBDz6yCT2OEgIiKCc9NiHwScNEpEREQOxxEOIiIiwOosE6M6yCR2OIiIiABAKwCVjR0GLTscShhSISIiIofjCAcRERHAkIqDscNBREQEALBDhwPscChhSIWIiIgcjiMcREREAEMqDsYOBxEREfBfhgmzVByFIRUiIiJyOI5wEBERAYDQFj5srYNMYoeDiIgI4BwOB2OHg4iICOAcDgfjHA4iIiJyOI5wEBERAQypOBg7HEREREBhNMXmDoddWlIuMaRCREREDscRDiIiIoAhFQdjh4OIiAgAtFoANq6joeU6HEoYUiEiIiKH4wgHERERwJCKg7HDQUREBLDD4WAMqRAREZHDcYSDiIgI4NLmDsYOBxEREQAhtBA27vZq6/XlGTscREREQOH8C1tHKDiHQxHncBAREZHDcYSDiIgI+G90giMcjsIOBxEREVC4SqjKxjkYnMOhiCEVIiIicjiOcBAREQEMqTgYOxxEREQAhFYLYWNIhWmxyhhSISIiIofjCAcRERHAkIqDscNBREQEFC76pWKHw1EYUiEiIiKH4wgHERER8N/ohK3rcHCEQwk7HERERACEVkDYGFIR7HAoKhMhlfj4eISFhcHT0xPh4eHYu3evs5tERETljdDa50EmlfoOx6ZNmxAbG4vJkyfj2LFjaNOmDTp37oy0tDRnN42IiIjMVOo7HAsWLMDQoUMxbNgwNGjQAAsXLkSNGjWwdOlSZzeNiIjKEaEVdnmQaaW6w5GXl4fk5GRERUXJzkdFRWH//v1OahUREZVLDKk4VKmeNHr9+nVoNBoEBQXJzgcFBSE9Pd3kNbm5ucjNzdV9nZmZCQAoQL7N67kQEVHJK0A+AMdPyLTH74mitpKxUt3hKKJSqWRfCyGMzhWZM2cOZsyYYXR+HxIc0jYiIioZt2/fhr+/v93rdXd3R3BwMPal2+f3RHBwMNzd3e1SV3lSqjscgYGBUKvVRqMZGRkZRqMeRSZNmoS4uDjd17du3UJoaCjS0tIc8h+1NMjKykKNGjVw6dIl+Pn5Obs5DsF7LPvK+/0BvEdHEULg9u3bCAkJcUj9np6eSE1NRV5enl3qc3d3h6enp13qKk9KdYfD3d0d4eHhSExMxPPPP687n5iYiB49epi8xsPDAx4eHkbn/f39y+0HQBE/Pz/eYzlQ3u+xvN8fwHt0BEf/wejp6clOgoOV6g4HAMTFxWHAgAGIiIhAZGQkVqxYgbS0NMTExDi7aURERGSmUt/h6N27N27cuIGZM2fi6tWraNy4MRISEhAaGursphEREZGZSn2HAwBGjhyJkSNHWnWth4cHpk2bZjLMUl7wHsuH8n6P5f3+AN4jUXFUggu/ExERkYOV6oW/iIiIqHxgh4OIiIgcjh0OIiIicjh2OIiIiMjhynWHIz4+HmFhYfD09ER4eDj27t3r7CbZzZw5c/DYY4/B19cXVatWRc+ePXH69GlnN8uh5syZA5VKhdjYWGc3xa4uX76M/v37o3LlyvD29kbz5s2RnJzs7GbZTUFBAaZMmYKwsDB4eXmhdu3amDlzJrTasrvJ1Z49e9CtWzeEhIRApVJhy5YtsueFEJg+fTpCQkLg5eWF9u3b4+TJk85prJWKu8f8/HxMmDABTZo0QYUKFRASEoKBAwfiypUrzmswlXrltsOxadMmxMbGYvLkyTh27BjatGmDzp07Iy0tzdlNs4vdu3dj1KhROHjwIBITE1FQUICoqCjcuXPH2U1ziMOHD2PFihVo2rSps5tiV//++y9atWoFNzc37NixA3/88Qc++OADVKxY0dlNs5u5c+di2bJlWLx4MU6dOoV58+Zh/vz5WLRokbObZrU7d+6gWbNmWLx4scnn582bhwULFmDx4sU4fPgwgoOD8cwzz+D27dsl3FLrFXePd+/exdGjRzF16lQcPXoUmzdvxpkzZ9C9e3cntJTKDFFOPf744yImJkZ2rn79+mLixIlOapFjZWRkCABi9+7dzm6K3d2+fVs8/PDDIjExUbRr106MGTPG2U2ymwkTJojWrVs7uxkO1bVrVzFkyBDZuRdeeEH079/fSS2yLwDim2++0X2t1WpFcHCw+L//+z/duZycHOHv7y+WLVvmhBbazvAeTTl06JAAIC5evFgyjaIyp1yOcOTl5SE5ORlRUVGy81FRUdi/f7+TWuVYmZmZAIBKlSo5uSX2N2rUKHTt2hUdO3Z0dlPs7ttvv0VERAReeuklVK1aFS1atMDKlSud3Sy7at26NXbu3IkzZ84AAI4fP459+/ahS5cuTm6ZY6SmpiI9PV32+ePh4YF27dqV288foPAzSKVSlavRObKvMrHSqKWuX78OjUZjtKNsUFCQ0c6z5YEQAnFxcWjdujUaN27s7ObY1caNG3H06FEcPnzY2U1xiPPnz2Pp0qWIi4vD22+/jUOHDmH06NHw8PDAwIEDnd08u5gwYQIyMzNRv359qNVqaDQazJo1C3379nV20xyi6DPG1OfPxYsXndEkh8vJycHEiRMRHR1d7jetI+uVyw5HEZVKJftaCGF0rjx4/fXX8dtvv2Hfvn3ObopdXbp0CWPGjMGPP/5Ybndx1Gq1iIiIwOzZswEALVq0wMmTJ7F06dJy0+HYtGkTPvvsM6xfvx6NGjVCSkoKYmNjERISgkGDBjm7eQ7zoHz+5Ofno0+fPtBqtYiPj3d2c6gUK5cdjsDAQKjVaqPRjIyMDKO/Osq6N954A99++y327NmDhx56yNnNsavk5GRkZGQgPDxcd06j0WDPnj1YvHgxcnNzoVarndhC21WrVg0NGzaUnWvQoAG+/vprJ7XI/t566y1MnDgRffr0AQA0adIEFy9exJw5c8plhyM4OBhA4UhHtWrVdOfL4+dPfn4+Xn75ZaSmpuLnn3/m6AYVq1zO4XB3d0d4eDgSExNl5xMTE9GyZUsntcq+hBB4/fXXsXnzZvz8888ICwtzdpPs7umnn8aJEyeQkpKie0RERKBfv35ISUkp850NAGjVqpVROvOZM2fK1W7Id+/ehYuL/KNGrVaX6bTY4oSFhSE4OFj2+ZOXl4fdu3eXm88fQN/ZOHv2LH766SdUrlzZ2U2iUq5cjnAAQFxcHAYMGICIiAhERkZixYoVSEtLQ0xMjLObZhejRo3C+vXrsXXrVvj6+upGc/z9/eHl5eXk1tmHr6+v0ZyUChUqoHLlyuVmrsrYsWPRsmVLzJ49Gy+//DIOHTqEFStWYMWKFc5umt1069YNs2bNQs2aNdGoUSMcO3YMCxYswJAhQ5zdNKtlZ2fj3Llzuq9TU1ORkpKCSpUqoWbNmoiNjcXs2bPx8MMP4+GHH8bs2bPh7e2N6OhoJ7baMsXdY0hICHr16oWjR49i27Zt0Gg0us+gSpUqwd3d3VnNptLMuUkyjrVkyRIRGhoq3N3dxaOPPlquUkYBmHysWbPG2U1zqPKWFiuEEN99951o3Lix8PDwEPXr1xcrVqxwdpPsKisrS4wZM0bUrFlTeHp6itq1a4vJkyeL3NxcZzfNart27TL58zdo0CAhRGFq7LRp00RwcLDw8PAQbdu2FSdOnHBuoy1U3D2mpqYqfgbt2rXL2U2nUorb0xMREZHDlcs5HERERFS6sMNBREREDscOBxERETkcOxxERETkcOxwEBERkcOxw0FEREQOxw4HERERORw7HFSmTZ8+Hc2bN7dbfUlJSVCpVLh165bd6lTSvn17xMbGOvx1yqpatWph4cKFzm4GEdkJOxxUqr3yyitQqVRQqVRwc3ND7dq1MW7cONy5cwcAMG7cOOzcubPE23Xs2DG89NJLCAoKgqenJx555BEMHz4cZ86cKfG2OMLatWuhUqnw7LPPys7funULKpUKSUlJzmkYEZVZ7HBQqffss8/i6tWrOH/+PN577z3Ex8dj3LhxAAAfH58S3zRq27ZtePLJJ5Gbm4vPP/8cp06dwqeffgp/f39MnTq1RNviSK6urti5cyd27drl7KbYTX5+vrObQPTAYoeDSj0PDw8EBwejRo0aiI6ORr9+/bBlyxYA8pBKTk4OGjVqhFdffVV3bWpqKvz9/bFy5UoAhbvszps3D7Vr14aXlxeaNWuGr776yuy23L17F4MHD0aXLl3w7bffomPHjggLC8MTTzyB999/H8uXL9eV3b17Nx5//HF4eHigWrVqmDhxIgoKChTrVqlUuvsqUrFiRaxduxYAcOHCBahUKnzxxRdo06YNvLy88Nhjj+HMmTM4fPgwIiIi4OPjg2effRbXrl3T1fHKK6+gZ8+eeP/991GtWjVUrlwZo0aNuu8v3woVKmDw4MGYOHGiYhlTIaiUlBSoVCpcuHABQOFoScWKFbFt2zbUq1cP3t7e6NWrF+7cuYNPPvkEtWrVQkBAAN544w1oNBpZ/bdv30Z0dDR8fHwQEhKCRYsWyZ7PzMzEq6++iqpVq8LPzw9PPfUUjh8/rnu+6P/H6tWrUbt2bXh4eIC7ORA5BzscVOZ4eXmZ/GXp6emJzz//HJ988gm2bNkCjUaDAQMGoEOHDhg+fDgAYMqUKVizZg2WLl2KkydPYuzYsejfvz92795t1mv/8MMPuH79OsaPH2/y+YoVKwIALl++jC5duuCxxx7D8ePHsXTpUqxatQrvvfeedTctMW3aNEyZMgVHjx6Fq6sr+vbti/Hjx+PDDz/E3r178ddff+Gdd96RXbNr1y789ddf2LVrFz755BOsXbtW15EpzvTp03HixAmLOmWm3L17Fx999BE2btyI77//HklJSXjhhReQkJCAhIQEfPrpp1ixYoXR68yfPx9NmzbF0aNHMWnSJIwdO1a37bsQAl27dkV6ejoSEhKQnJyMRx99FE8//TRu3rypq+PcuXP44osv8PXXXyMlJcWm+yAiGzh16zii+xg0aJDo0aOH7utff/1VVK5cWbz88stCCCGmTZsmmjVrJrtm3rx5IjAwULzxxhsiODhYXLt2TQghRHZ2tvD09BT79++XlR86dKjo27evEEK/Q+a///5rsj1z584VAMTNmzeLbffbb78t6tWrJ7Rare7ckiVLhI+Pj9BoNEII451vAYhvvvlGVo+/v79uB+CiHTo//vhj3fMbNmwQAMTOnTt15+bMmSPq1aun+3rQoEEiNDRUFBQU6M699NJLonfv3ortX7NmjfD39xdCCDFx4kTxyCOPiPz8fPHvv//KdgQ19X4dO3ZMABCpqam6ugCIc+fO6cqMGDFCeHt7i9u3b+vOderUSYwYMUL3dWhoqHj22Wdl7erdu7fo3LmzEEKInTt3Cj8/P5GTkyMrU6dOHbF8+XIhROH/Dzc3N5GRkaF4r0RUMjjCQaXetm3b4OPjA09PT0RGRqJt27ZGQ+tSb775JurVq4dFixZhzZo1CAwMBAD88ccfyMnJwTPPPAMfHx/dY926dfjrr7/Maoswczj+1KlTiIyMhEql0p1r1aoVsrOz8ffff5tVh5KmTZvqjoOCggAATZo0kZ3LyMiQXdOoUSOo1Wrd19WqVTMqo2TChAm4du0aVq9ebXWbvb29UadOHVkba9WqBR8fn2LbHRkZafT1qVOnAADJycnIzs5G5cqVZd/P1NRU2fczNDQUVapUsbrtRGQfrs5uANH9dOjQAUuXLoWbmxtCQkLg5uZWbPmMjAycPn0aarUaZ8+e1WVaaLVaAMD27dtRvXp12TUeHh5mteWRRx4BAPz5559GvwylhBCyzkbROQBG54uoVCqjDo2p0JH0/ovqMjxXdK+mrlEqo6RixYqYNGkSZsyYgeeee072nItL4d8s0nbfr81Fr29tm4ruWavVolq1aiYzZopCW0DhXBQicj6OcFCpV6FCBdStWxehoaH37WwAwJAhQ9C4cWOsW7cO48ePxx9//AEAaNiwITw8PJCWloa6devKHjVq1DCrLVFRUQgMDMS8efNMPl80ebJhw4bYv3+/7Bfx/v374evra9TZKVKlShVcvXpV9/XZs2dx9+5ds9rlaG+88QZcXFzw4Ycfys4XjRxI223PeRIHDx40+rp+/foAgEcffRTp6elwdXU1+n4WjWoRUenBEQ4qV5YsWYIDBw7gt99+Q40aNbBjxw7069cPv/76K3x9fTFu3DiMHTsWWq0WrVu3RlZWFvbv3w8fHx8MGjTovvVXqFABH3/8MV566SV0794do0ePRt26dXH9+nV88cUXSEtLw8aNGzFy5EgsXLgQb7zxBl5//XWcPn0a06ZNQ1xcnG5UwNBTTz2FxYsX48knn4RWq8WECRPM6mCVBE9PT8yYMQOjRo2SnS/qrE2fPh3vvfcezp49iw8++MBur/vLL79g3rx56NmzJxITE/Hll19i+/btAICOHTsiMjISPXv2xNy5c1GvXj1cuXIFCQkJ6NmzJyIiIuzWDiKyHUc4qNz4888/8dZbbyE+Pl43YrFkyRLcunVLtz7Gu+++i3feeQdz5sxBgwYN0KlTJ3z33XcICwsz+3V69OiB/fv3w83NDdHR0ahfvz769u2LzMxMXRZK9erVkZCQgEOHDqFZs2aIiYnB0KFDMWXKFMV6P/jgA9SoUQNt27ZFdHQ0xo0bB29vbxveEfsaNGgQateuLTvn5uaGDRs24M8//0SzZs0wd+5cu2TiFHnzzTeRnJyMFi1a4N1338UHH3yATp06ASgMrSQkJKBt27YYMmQIHnnkEfTp0wcXLlzQzW0hotJDJcydBUdERERkJY5wEBERkcOxw0FEREQOxw4HERERORw7HERERORw7HAQERGRw7HDQURERA7HDgcRERE5HDscRERE5HDscBAREZHDscNBREREDscOBxERETkcOxxERETkcP8PsVjXgISFOO8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tcut.prf.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "cbd65b6f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get a simple aperture based on a given completeness\n",
    "tcut_aperture = tcut.get_simple_aperture(plot=True) #min_completeness = 0.9 by default\n",
    "tcut_aperture_complete = tcut.get_simple_aperture(plot=True, min_completeness = .99) \n",
    "tcut_aperture_small = tcut.get_simple_aperture(plot=True, min_completeness = 0.2) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "ce726a05",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "completeness: 0.9043065251672817\n",
      "completeness: 0.990746479205593\n",
      "completeness: 0.2606493694958168\n"
     ]
    }
   ],
   "source": [
    "print(f\"completeness: {tcut.estimate_completeness(tcut_aperture)}\")\n",
    "print(f\"completeness: {tcut.estimate_completeness(tcut_aperture_complete)}\")\n",
    "print(f\"completeness: {tcut.estimate_completeness(tcut_aperture_small)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "96089b7d",
   "metadata": {},
   "source": [
    "# Make a PRF from scratch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "d2deae04",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'Supersampled Kepler PRF Model, Channel: 6'}, xlabel='Pixel Column Number', ylabel='Pixel Row Number'>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Now assume there is no TPF we want to recreate. Create a PRF object given information on the location on the CCD\n",
    "kprf = lk.prf.KeplerPRF(column=100, row=500, channel=6, shape=(15,20))\n",
    "kprf.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "3b3c3071",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1, 15, 20)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/43/zmh1bgsx5x935k5ctwcdnkxhh20lg4/T/ipykernel_57817/3475802519.py:4: RuntimeWarning: divide by zero encountered in log\n",
      "  plt.imshow(np.log(prf_model[0,:,:]), origin='lower')\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1, 15, 20)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/43/zmh1bgsx5x935k5ctwcdnkxhh20lg4/T/ipykernel_57817/3475802519.py:10: RuntimeWarning: divide by zero encountered in log\n",
      "  plt.imshow(np.log(prf_model[0,:,:]), origin='lower')\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create a PRF at different locations within the simulated TPF\n",
    "prf_model = kprf.prf_model(center_col=105, center_row=510)\n",
    "print(prf_model.shape)\n",
    "plt.imshow(np.log(prf_model[0,:,:]), origin='lower')\n",
    "plt.show()\n",
    "\n",
    "#try it without explicit center_col and center_row. Should default to the center\n",
    "prf_model = kprf.prf_model()\n",
    "print(prf_model.shape)\n",
    "plt.imshow(np.log(prf_model[0,:,:]), origin='lower')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "3a6cbff8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.2556910042168363\n",
      "6.107214798348041\n",
      "1.5385576323699137\n",
      "4.921799212105337\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/43/zmh1bgsx5x935k5ctwcdnkxhh20lg4/T/ipykernel_57817/2238760891.py:12: RuntimeWarning: divide by zero encountered in log\n",
      "  plt.imshow(np.log(flux_model[ii,:,:]), origin='lower', vmin=1, vmax=5.6)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhwAAAGdCAYAAABZ+qqcAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAggElEQVR4nO3de3RU1f338c+EwHB5klFQSKYEiD4UFCgioNwUUIlGQF22XNTGiJeFBVTEpZBaK9olAWsprRQsLgR8LMiiXMpTrRgrNwtYLkGpWi4SIRXSLF064VKGkOznj/4yj4EkEDjfzEzyfq111mLO2Wfv73Y75MPJmTk+55wTAACAoYRoFwAAAOo/AgcAADBH4AAAAOYIHAAAwByBAwAAmCNwAAAAcwQOAABgjsABAADMJUa7gNOVl5fr0KFDSkpKks/ni3Y5AACgGs45HTlyRMFgUAkJNV/DiLnAcejQIaWlpUW7DAAAcI4KCwvVtm3bGtvEXOBISkqS9N/ik5OTo1wNEBtuD9wb7RIAxKE/hV437b+kpERpaWmRn901ibnAUfFrlOTkZAIH8D8SfY2jXQKAOFRXP0fP5RYIbhoFAADmCBwAAMAcgQMAAJgjcAAAAHMEDgAAYK7WgWPDhg0aPny4gsGgfD6fVq1aVW3bsWPHyufzadasWRdQIgAAiHe1DhzHjh1T9+7dNXv27BrbrVq1Sh9++KGCweB5FwcAAOqHWn8PR2ZmpjIzM2ts8+WXX2rChAlas2aNhg4det7FAQCA+sHzL/4qLy9XVlaWnnzySXXp0uWs7cPhsMLhcOR1SUmJ1yUBAIAo8/ym0RkzZigxMVGPPvroObXPzc1VIBCIbDxHBQCA+sfTwLF9+3b95je/0cKFC8/5Sa85OTkKhUKRrbCw0MuSAABADPA0cGzcuFHFxcVq166dEhMTlZiYqAMHDuiJJ55Qhw4dqjzH7/dHnpvC81MAAKifPL2HIysrSzfddFOlfTfffLOysrI0ZswYL4cCAABxpNaB4+jRo9q3b1/kdUFBgXbu3KmWLVuqXbt2atWqVaX2jRs3VkpKijp16nTh1QIAgLhU68Cxbds2DR48OPJ60qRJkqTs7GwtXLjQs8IAAED9UevAMWjQIDnnzrn9F198UdshAABAPcOzVAAAgDkCBwAAMEfgAAAA5ggcAADAHIEDAACY8/zhbUCsGZIwItolADEldE8f8zH+16GTpv03WrvDtP/6wvrvv1Ou9JzbcoUDAACYI3AAAABzBA4AAGCOwAEAAMwROAAAgDkCBwAAMEfgAAAA5ggcAADAHIEDAACYI3AAAABzBA4AAGCOwAEAAMwROAAAgDkCBwAAMEfgAAAA5ggcAADAHIEDAACYI3AAAABzBA4AAGCOwAEAAMwROAAAgDkCBwAAMEfgAAAA5hKjXQAatiEJI8zHyCtfZj5GXcwDDUNC06bmY4z+6TvmY7z/VWfT/guv7GfavySl/nGf+Rhl/y42HyNWcIUDAACYI3AAAABzBA4AAGCOwAEAAMwROAAAgDkCBwAAMEfgAAAA5ggcAADAXK0Dx4YNGzR8+HAFg0H5fD6tWrUqcqy0tFSTJ09Wt27d1KJFCwWDQd177706dOiQlzUDAIA4U+vAcezYMXXv3l2zZ88+49jx48e1Y8cOPfPMM9qxY4dWrFihPXv26LbbbvOkWAAAEJ9q/dXmmZmZyszMrPJYIBBQXl5epX0vv/yyrrnmGh08eFDt2rU7vyoBAEBcM3+WSigUks/n00UXXVTl8XA4rHA4HHldUlJiXRIAAKhjpjeNnjhxQlOmTNHdd9+t5OTkKtvk5uYqEAhEtrS0NMuSAABAFJgFjtLSUo0ePVrl5eWaM2dOte1ycnIUCoUiW2FhoVVJAAAgSkx+pVJaWqqRI0eqoKBA77//frVXNyTJ7/fL7/dblAEAAGKE54GjImzs3btXa9euVatWrbweAgAAxJlaB46jR49q3759kdcFBQXauXOnWrZsqWAwqB/96EfasWOH/vznP6usrExFRUWSpJYtW6pJkybeVQ4AAOJGrQPHtm3bNHjw4MjrSZMmSZKys7M1depUrV69WpJ01VVXVTpv7dq1GjRo0PlXCgAA4latA8egQYPknKv2eE3HAABAw8SzVAAAgDkCBwAAMEfgAAAA5ggcAADAHIEDAACYM394G1CTvPJl5mMMSRhhPgbgmc6XmQ9xUaP95mMkyPYTi82Ly0z7l6Syfxebj9GQcIUDAACYI3AAAABzBA4AAGCOwAEAAMwROAAAgDkCBwAAMEfgAAAA5ggcAADAHIEDAACYI3AAAABzBA4AAGCOwAEAAMwROAAAgDkCBwAAMEfgAAAA5ggcAADAHIEDAACYI3AAAABzBA4AAGCOwAEAAMwROAAAgDkCBwAAMEfgAAAA5ggcAADAXGK0C0DDNiRhRLRLwP9o1Ol/m/Zftnufaf/1RfnOT83HeG3yHeZj/KdlI9P+Wy7bbNp/fZFXvsy0/5KSEgUCgXNqyxUOAABgjsABAADMETgAAIA5AgcAADBH4AAAAOYIHAAAwByBAwAAmKt14NiwYYOGDx+uYDAon8+nVatWVTrunNPUqVMVDAbVrFkzDRo0SJ988olX9QIAgDhU68Bx7Ngxde/eXbNnz67y+IsvvqiZM2dq9uzZ2rp1q1JSUjRkyBAdOXLkgosFAADxqdbfNJqZmanMzMwqjznnNGvWLD399NO68847JUmLFi1SmzZttHjxYo0dO/bCqgUAAHHJ03s4CgoKVFRUpIyMjMg+v9+vgQMHatOmTV4OBQAA4oinz1IpKiqSJLVp06bS/jZt2ujAgQNVnhMOhxUOhyOvS0pKvCwJAADEAJNPqfh8vkqvnXNn7KuQm5urQCAQ2dLS0ixKAgAAUeRp4EhJSZH0/690VCguLj7jqkeFnJwchUKhyFZYWOhlSQAAIAZ4GjjS09OVkpKivLy8yL6TJ09q/fr16tevX5Xn+P1+JScnV9oAAED9Uut7OI4ePap9+/ZFXhcUFGjnzp1q2bKl2rVrp4kTJ2ratGnq2LGjOnbsqGnTpql58+a6++67PS0cAADEj1oHjm3btmnw4MGR15MmTZIkZWdna+HChXrqqaf0n//8R+PGjdM333yja6+9Vu+++66SkpK8qxoAAMSVWgeOQYMGyTlX7XGfz6epU6dq6tSpF1IXAACoR3iWCgAAMEfgAAAA5ggcAADAHIEDAACYI3AAAABznj5LBXVrSMKIaJeAeqRs976zN0K90OxPf7cfw3yE+iGvfFm0S6gzXOEAAADmCBwAAMAcgQMAAJgjcAAAAHMEDgAAYI7AAQAAzBE4AACAOQIHAAAwR+AAAADmCBwAAMAcgQMAAJgjcAAAAHMEDgAAYI7AAQAAzBE4AACAOQIHAAAwR+AAAADmCBwAAMAcgQMAAJgjcAAAAHMEDgAAYI7AAQAAzBE4AACAOQIHAAAwlxjtAuqrIQkjol0CAAAxgyscAADAHIEDAACYI3AAAABzBA4AAGCOwAEAAMwROAAAgDkCBwAAMEfgAAAA5jwPHKdOndLPfvYzpaenq1mzZrrsssv0/PPPq7y83OuhAABAnPD8m0ZnzJihV155RYsWLVKXLl20bds2jRkzRoFAQI899pjXwwEAgDjgeeDYvHmzbr/9dg0dOlSS1KFDBy1ZskTbtm3zeigAABAnPP+VyoABA/TXv/5Ve/bskSR99NFH+uCDD3TrrbdW2T4cDqukpKTSBgAA6hfPr3BMnjxZoVBInTt3VqNGjVRWVqYXXnhBd911V5Xtc3Nz9dxzz3ldBgAAiCGeX+FYunSp3njjDS1evFg7duzQokWL9NJLL2nRokVVts/JyVEoFIpshYWFXpcEAACizPMrHE8++aSmTJmi0aNHS5K6deumAwcOKDc3V9nZ2We09/v98vv9XpcBAABiiOdXOI4fP66EhMrdNmrUiI/FAgDQgHl+hWP48OF64YUX1K5dO3Xp0kX5+fmaOXOm7r//fq+HAgAAccLzwPHyyy/rmWee0bhx41RcXKxgMKixY8fq5z//uddDAQCAOOFzzrloF/FdJSUlCgQCCoVCSk5OjnY5521IwoholwAAiHF55cuiXcIFqc3PbJ6lAgAAzBE4AACAOQIHAAAwR+AAAADmCBwAAMCc5x+LxX/VxZ3HdfFJmMTvBU37L7kmzbR/SWq+8kPzMYB4Eu+fjJDq5u+/+vDfKZZwhQMAAJgjcAAAAHMEDgAAYI7AAQAAzBE4AACAOQIHAAAwR+AAAADmCBwAAMAcgQMAAJgjcAAAAHMEDgAAYI7AAQAAzBE4AACAOQIHAAAwR+AAAADmCBwAAMAcgQMAAJgjcAAAAHMEDgAAYI7AAQAAzBE4AACAOQIHAAAwR+AAAADmEqNdQH01JGFEtEvwxBf3djDtv8fwT037l6QP+/Q1H+OyyZvNx0BsyCtfFu0SINYhHnGFAwAAmCNwAAAAcwQOAABgjsABAADMETgAAIA5AgcAADBH4AAAAOYIHAAAwJxJ4Pjyyy/14x//WK1atVLz5s111VVXafv27RZDAQCAOOD5N41+88036t+/vwYPHqy//OUvat26tT7//HNddNFFXg8FAADihOeBY8aMGUpLS9OCBQsi+zp06OD1MAAAII54/iuV1atXq1evXhoxYoRat26tHj166NVXX622fTgcVklJSaUNAADUL54Hjv3792vu3Lnq2LGj1qxZo4cffliPPvqoXn/99Srb5+bmKhAIRLa0tDSvSwIAAFHmeeAoLy/X1VdfrWnTpqlHjx4aO3asHnroIc2dO7fK9jk5OQqFQpGtsLDQ65IAAECUeR44UlNTdeWVV1bad8UVV+jgwYNVtvf7/UpOTq60AQCA+sXzwNG/f3/t3r270r49e/aoffv2Xg8FAADihOeB4/HHH9eWLVs0bdo07du3T4sXL9a8efM0fvx4r4cCAABxwvPA0bt3b61cuVJLlixR165d9Ytf/EKzZs3SPffc4/VQAAAgTnj+PRySNGzYMA0bNsyiawAAEId4lgoAADBH4AAAAOYIHAAAwByBAwAAmCNwAAAAcyafUokHQxJGRLuEuPBk9h9N+78vudi0f0m6NdzcfIx/Tepn2n/qzE2m/deFvPJl0S4BQBRxhQMAAJgjcAAAAHMEDgAAYI7AAQAAzBE4AACAOQIHAAAwR+AAAADmCBwAAMAcgQMAAJgjcAAAAHMEDgAAYI7AAQAAzBE4AACAOQIHAAAwR+AAAADmCBwAAMAcgQMAAJgjcAAAAHMEDgAAYI7AAQAAzBE4AACAOQIHAAAwR+AAAADmCBwAAMBcYrQLqM7tgXuV6Gsc7TIavF++/iPT/nf9cItp/5L0r//bwXyM1JmbzMcAgHjGFQ4AAGCOwAEAAMwROAAAgDkCBwAAMEfgAAAA5ggcAADAHIEDAACYMw8cubm58vl8mjhxovVQAAAgRpkGjq1bt2revHn6wQ9+YDkMAACIcWaB4+jRo7rnnnv06quv6uKLL7YaBgAAxAGzwDF+/HgNHTpUN910U43twuGwSkpKKm0AAKB+MXmWyptvvqkdO3Zo69atZ22bm5ur5557zqIMAAAQIzy/wlFYWKjHHntMb7zxhpo2bXrW9jk5OQqFQpGtsLDQ65IAAECUeX6FY/v27SouLlbPnj0j+8rKyrRhwwbNnj1b4XBYjRo1ihzz+/3y+/1elwEAAGKI54Hjxhtv1K5duyrtGzNmjDp37qzJkydXChsAAKBh8DxwJCUlqWvXrpX2tWjRQq1atTpjPwAAaBj4plEAAGDO5FMqp1u3bl1dDAMAAGIUVzgAAIA5AgcAADBH4AAAAOYIHAAAwByBAwAAmKuTT6kgfrWdtsm0/w8K+5r2L0ltt39lPkaZ+Qj28sqXRbsEAPUYVzgAAIA5AgcAADBH4AAAAOYIHAAAwByBAwAAmCNwAAAAcwQOAABgjsABAADMETgAAIA5AgcAADBH4AAAAOYIHAAAwByBAwAAmCNwAAAAcwQOAABgjsABAADMETgAAIA5AgcAADBH4AAAAOYIHAAAwByBAwAAmCNwAAAAcwQOAABgjsABAADMJUa7ADRsF/2fzeZjlJmPAAA4G65wAAAAcwQOAABgjsABAADMETgAAIA5AgcAADBH4AAAAOYIHAAAwByBAwAAmPM8cOTm5qp3795KSkpS69atdccdd2j37t1eDwMAAOKI54Fj/fr1Gj9+vLZs2aK8vDydOnVKGRkZOnbsmNdDAQCAOOH5V5u/8847lV4vWLBArVu31vbt23X99dd7PRwAAIgD5s9SCYVCkqSWLVtWeTwcDiscDkdel5SUWJcEAADqmOlNo845TZo0SQMGDFDXrl2rbJObm6tAIBDZ0tLSLEsCAABRYBo4JkyYoI8//lhLliyptk1OTo5CoVBkKywstCwJAABEgdmvVB555BGtXr1aGzZsUNu2batt5/f75ff7rcoAAAAxwPPA4ZzTI488opUrV2rdunVKT0/3eggAABBnPA8c48eP1+LFi/WnP/1JSUlJKioqkiQFAgE1a9bM6+EAAEAc8Pwejrlz5yoUCmnQoEFKTU2NbEuXLvV6KAAAECdMfqUCAADwXTxLBQAAmCNwAAAAcwQOAABgjsABAADMETgAAIA584e3xarPX+pj2n/iMfss1/7ZTeZjIDbklS+LdgkAcEG4wgEAAMwROAAAgDkCBwAAMEfgAAAA5ggcAADAHIEDAACYI3AAAABzBA4AAGCOwAEAAMwROAAAgDkCBwAAMEfgAAAA5ggcAADAHIEDAACYI3AAAABzBA4AAGCOwAEAAMwROAAAgDkCBwAAMEfgAAAA5ggcAADAHIEDAACYI3AAAABzidEuIFqafGObtRL/Y9o9Ykxe+bJolwAAMY0rHAAAwByBAwAAmCNwAAAAcwQOAABgjsABAADMETgAAIA5AgcAADBH4AAAAObMAsecOXOUnp6upk2bqmfPntq4caPVUAAAIMaZBI6lS5dq4sSJevrpp5Wfn6/rrrtOmZmZOnjwoMVwAAAgxpkEjpkzZ+qBBx7Qgw8+qCuuuEKzZs1SWlqa5s6dazEcAACIcZ4HjpMnT2r79u3KyMiotD8jI0ObNm06o304HFZJSUmlDQAA1C+eB46vvvpKZWVlatOmTaX9bdq0UVFR0Rntc3NzFQgEIltaWprXJQEAgCgzu2nU5/NVeu2cO2OfJOXk5CgUCkW2wsJCq5IAAECUeP54+ksuuUSNGjU642pGcXHxGVc9JMnv98vv93tdBgAAiCGeX+Fo0qSJevbsqby8vEr78/Ly1K9fP6+HAwAAccDzKxySNGnSJGVlZalXr17q27ev5s2bp4MHD+rhhx+2GA4AAMQ4k8AxatQoff3113r++ed1+PBhde3aVW+//bbat29vMRwAAIhxJoFDksaNG6dx48ZZdQ8AAOIIz1IBAADmCBwAAMAcgQMAAJgjcAAAAHNmN42eL+ecJOmUSiVnN05Z+IRd55J8YdPuJUmnXKn9IDgnPAMIQENU8Xdfxc/umvjcubSqQ//61794ngoAAHGksLBQbdu2rbFNzAWO8vJyHTp0SElJSVU+e6UqJSUlSktLU2FhoZKTk40rjA0Ncc4S825I826Ic5Ya5rwb4pyl+jFv55yOHDmiYDCohISa79KIuV+pJCQknDUlVSc5OTluF+18NcQ5S8y7IWmIc5Ya5rwb4pyl+J93IBA4p3bcNAoAAMwROAAAgLl6ETj8fr+effbZBvWY+4Y4Z4l5N6R5N8Q5Sw1z3g1xzlLDm3fM3TQKAADqn3pxhQMAAMQ2AgcAADBH4AAAAOYIHAAAwFzcBI45c+YoPT1dTZs2Vc+ePbVx48Ya269fv149e/ZU06ZNddlll+mVV16po0ovXG5urnr37q2kpCS1bt1ad9xxh3bv3l3jOevWrZPP5ztj++c//1lHVV+4qVOnnlF/SkpKjefE8zpX6NChQ5VrN378+Crbx+Nab9iwQcOHD1cwGJTP59OqVasqHXfOaerUqQoGg2rWrJkGDRqkTz755Kz9Ll++XFdeeaX8fr+uvPJKrVy50mgG56emeZeWlmry5Mnq1q2bWrRooWAwqHvvvVeHDh2qsc+FCxdWuf4nTtg+H+pcnW2t77vvvjNq79Onz1n7jee1llTlmvl8Pv3yl7+sts9YX+vaiovAsXTpUk2cOFFPP/208vPzdd111ykzM1MHDx6ssn1BQYFuvfVWXXfddcrPz9dPf/pTPfroo1q+fHkdV35+1q9fr/Hjx2vLli3Ky8vTqVOnlJGRoWPHjp313N27d+vw4cORrWPHjnVQsXe6dOlSqf5du3ZV2zbe17nC1q1bK805Ly9PkjRixIgaz4untT527Ji6d++u2bNnV3n8xRdf1MyZMzV79mxt3bpVKSkpGjJkiI4cOVJtn5s3b9aoUaOUlZWljz76SFlZWRo5cqQ+/PBDq2nUWk3zPn78uHbs2KFnnnlGO3bs0IoVK7Rnzx7ddtttZ+03OTm50tofPnxYTZs2tZhCrZ1trSXplltuqVT722+/XWOf8b7Wks5Yr9dee00+n08//OEPa+w3lte61lwcuOaaa9zDDz9caV/nzp3dlClTqmz/1FNPuc6dO1faN3bsWNenTx+zGi0VFxc7SW79+vXVtlm7dq2T5L755pu6K8xjzz77rOvevfs5t69v61zhsccec5dffrkrLy+v8ni8r7Ukt3Llysjr8vJyl5KS4qZPnx7Zd+LECRcIBNwrr7xSbT8jR450t9xyS6V9N998sxs9erTnNXvh9HlX5e9//7uT5A4cOFBtmwULFrhAIOBtcUaqmnN2dra7/fbba9VPfVzr22+/3d1www01tomntT4XMX+F4+TJk9q+fbsyMjIq7c/IyNCmTZuqPGfz5s1ntL/55pu1bds2lZbG3yPdQ6GQJKlly5ZnbdujRw+lpqbqxhtv1Nq1a61L89zevXsVDAaVnp6u0aNHa//+/dW2rW/rLP33//c33nhD999//1kfXhjva12hoKBARUVFldbS7/dr4MCB1b7HperXv6ZzYl0oFJLP59NFF11UY7ujR4+qffv2atu2rYYNG6b8/Py6KdAj69atU+vWrfX9739fDz30kIqLi2tsX9/W+t///rfeeustPfDAA2dtG+9r/V0xHzi++uorlZWVqU2bNpX2t2nTRkVFRVWeU1RUVGX7U6dO6auvvjKr1YJzTpMmTdKAAQPUtWvXatulpqZq3rx5Wr58uVasWKFOnTrpxhtv1IYNG+qw2gtz7bXX6vXXX9eaNWv06quvqqioSP369dPXX39dZfv6tM4VVq1apW+//Vb33XdftW3qw1p/V8X7uDbv8YrzantOLDtx4oSmTJmiu+++u8YHeXXu3FkLFy7U6tWrtWTJEjVt2lT9+/fX3r1767Da85eZmak//OEPev/99/WrX/1KW7du1Q033KBwOFztOfVtrRctWqSkpCTdeeedNbaL97U+Xcw9LbY6p/9rzzlX478Aq2pf1f5YN2HCBH388cf64IMPamzXqVMnderUKfK6b9++Kiws1EsvvaTrr7/eukxPZGZmRv7crVs39e3bV5dffrkWLVqkSZMmVXlOfVnnCvPnz1dmZqaCwWC1berDWleltu/x8z0nFpWWlmr06NEqLy/XnDlzamzbp0+fSjdZ9u/fX1dffbVefvll/fa3v7Uu9YKNGjUq8ueuXbuqV69eat++vd56660afwDXl7WWpNdee0333HPPWe/FiPe1Pl3MX+G45JJL1KhRozOSbHFx8RmJt0JKSkqV7RMTE9WqVSuzWr32yCOPaPXq1Vq7dq3atm1b6/P79OkTt0lYklq0aKFu3bpVO4f6ss4VDhw4oPfee08PPvhgrc+N57Wu+CRSbd7jFefV9pxYVFpaqpEjR6qgoEB5eXm1fkx5QkKCevfuHbfrn5qaqvbt29dYf31Za0nauHGjdu/efV7v83hf65gPHE2aNFHPnj0jd+5XyMvLU79+/ao8p2/fvme0f/fdd9WrVy81btzYrFavOOc0YcIErVixQu+//77S09PPq5/8/HylpqZ6XF3dCYfD+uyzz6qdQ7yv8+kWLFig1q1ba+jQobU+N57XOj09XSkpKZXW8uTJk1q/fn2173Gp+vWv6ZxYUxE29u7dq/fee++8grJzTjt37ozb9f/6669VWFhYY/31Ya0rzJ8/Xz179lT37t1rfW68r3VcfErlzTffdI0bN3bz5893n376qZs4caJr0aKF++KLL5xzzk2ZMsVlZWVF2u/fv981b97cPf744+7TTz918+fPd40bN3Z//OMfozWFWvnJT37iAoGAW7dunTt8+HBkO378eKTN6XP+9a9/7VauXOn27Nnj/vGPf7gpU6Y4SW758uXRmMJ5eeKJJ9y6devc/v373ZYtW9ywYcNcUlJSvV3n7yorK3Pt2rVzkydPPuNYfVjrI0eOuPz8fJefn+8kuZkzZ7r8/PzIpzGmT5/uAoGAW7Fihdu1a5e76667XGpqqispKYn0kZWVVemTaX/7299co0aN3PTp091nn33mpk+f7hITE92WLVvqfH7VqWnepaWl7rbbbnNt27Z1O3furPReD4fDkT5On/fUqVPdO++84z7//HOXn5/vxowZ4xITE92HH34YjSmeoaY5HzlyxD3xxBNu06ZNrqCgwK1du9b17dvXfe9736vXa10hFAq55s2bu7lz51bZR7ytdW3FReBwzrnf/e53rn379q5Jkybu6quvrvQR0ezsbDdw4MBK7detW+d69OjhmjRp4jp06FDtAsciSVVuCxYsiLQ5fc4zZsxwl19+uWvatKm7+OKL3YABA9xbb71V98VfgFGjRrnU1FTXuHFjFwwG3Z133uk++eSTyPH6ts7ftWbNGifJ7d69+4xj9WGtKz7Ke/qWnZ3tnPvvR2OfffZZl5KS4vx+v7v++uvdrl27KvUxcODASPsKy5Ytc506dXKNGzd2nTt3jrnQVdO8CwoKqn2vr127NtLH6fOeOHGia9eunWvSpIm79NJLXUZGhtu0aVPdT64aNc35+PHjLiMjw1166aWucePGrl27di47O9sdPHiwUh/1ba0r/P73v3fNmjVz3377bZV9xNta1xaPpwcAAOZi/h4OAAAQ/wgcAADAHIEDAACYI3AAAABzBA4AAGCOwAEAAMwROAAAgDkCBwAAMEfgAAAA5ggcAADAHIEDAACYI3AAAABz/w8pX9EpQS6XWgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Make up a star field with 4 stars\n",
    "\n",
    "cols = [102.1, 105.5, 109.6, 115]\n",
    "rows = [501.1, 505.5, 510.6, 512]\n",
    "fluxes = [100, 1000, 10,500]\n",
    "\n",
    "prf_model = kprf.prf_model(center_col=cols, center_row=rows)\n",
    "flux_model = kprf.get_flux_weighted_prf(prf_model, fluxes)\n",
    "#print(prf_model.shape)\n",
    "for ii in range(len(cols)):\n",
    "    print(np.log(np.max(flux_model[ii,:,:])))\n",
    "    plt.imshow(np.log(flux_model[ii,:,:]), origin='lower', vmin=1, vmax=5.6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "756a5282",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'TESS PRF Model, Camera: 4, CCD: 1'}, xlabel='Pixel Column Number', ylabel='Pixel Row Number'>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Same but for a simulated TESS PRF\n",
    "tprf = lk.prf.TessPRF(column=1000, row=1000, camera=4, ccd=1, shape=(15,20))\n",
    "tprf.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "f3819135",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1, 15, 20)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/43/zmh1bgsx5x935k5ctwcdnkxhh20lg4/T/ipykernel_57817/741922150.py:3: RuntimeWarning: divide by zero encountered in log\n",
      "  plt.imshow(np.log(prf_model[0,:,:]), origin='lower')\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1, 15, 20)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/43/zmh1bgsx5x935k5ctwcdnkxhh20lg4/T/ipykernel_57817/741922150.py:9: RuntimeWarning: divide by zero encountered in log\n",
      "  plt.imshow(np.log(prf_model[0,:,:]), origin='lower')\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prf_model = tprf.prf_model(center_col=1005, center_row=1010)\n",
    "print(prf_model.shape)\n",
    "plt.imshow(np.log(prf_model[0,:,:]), origin='lower')\n",
    "plt.show()\n",
    "\n",
    "#try it without explicit center_col and center_row\n",
    "prf_model = tprf.prf_model()\n",
    "print(prf_model.shape)\n",
    "plt.imshow(np.log(prf_model[0,:,:]), origin='lower')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "d3637855",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.106153854550129\n",
      "5.777858469825901\n",
      "1.1544503551494134\n",
      "4.5554938448928235\n",
      "2.2955463274694083\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/43/zmh1bgsx5x935k5ctwcdnkxhh20lg4/T/ipykernel_57817/2559804845.py:12: RuntimeWarning: divide by zero encountered in log\n",
      "  plt.imshow(np.log(flux_model[ii,:,:]), origin='lower', vmin=1, vmax=5.6)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Make up a star field\n",
    "\n",
    "cols = [1002.1, 1005.5, 1009.6, 1015, 1015]\n",
    "rows = [1001.1, 1005.5, 1010.6, 1012, 1001.1]\n",
    "fluxes = [100, 1000, 10, 500, 50]\n",
    "\n",
    "prf_model = tprf.prf_model(center_col=cols, center_row=rows)\n",
    "flux_model = tprf.get_flux_weighted_prf(prf_model, fluxes)\n",
    "#print(prf_model.shape)\n",
    "for ii in range(len(cols)):\n",
    "    print(np.log(np.max(flux_model[ii,:,:])))\n",
    "    plt.imshow(np.log(flux_model[ii,:,:]), origin='lower', vmin=1, vmax=5.6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "aa311a4b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0002668659328613\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([[False, False, False, False, False, False, False, False, False,\n",
       "        False, False],\n",
       "       [False, False, False, False, False, False, False, False, False,\n",
       "        False, False],\n",
       "       [False, False, False, False, False, False, False, False, False,\n",
       "        False, False],\n",
       "       [False, False, False, False, False,  True, False, False, False,\n",
       "        False, False],\n",
       "       [False, False, False, False,  True,  True,  True,  True, False,\n",
       "        False, False],\n",
       "       [False, False, False, False,  True,  True,  True,  True, False,\n",
       "        False, False],\n",
       "       [False, False, False, False,  True,  True,  True, False, False,\n",
       "        False, False],\n",
       "       [False, False, False, False,  True,  True,  True, False, False,\n",
       "        False, False],\n",
       "       [False, False, False, False, False, False, False, False, False,\n",
       "        False, False],\n",
       "       [False, False, False, False, False, False, False, False, False,\n",
       "        False, False],\n",
       "       [False, False, False, False, False, False, False, False, False,\n",
       "        False, False]])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from_ttpf = lk.prf.from_tpf(ttpf)\n",
    "from_ttpf_model = from_ttpf.prf_model()\n",
    "print(np.sum(from_ttpf_model))\n",
    "from_ttpf.get_simple_aperture(from_ttpf_model, plot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "eed88288",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x29cef08b0>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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MxP3OqsCYw6WpAM+wEgIAmCFCAAAzRAgAYIYIAQDMECEAgBkiBAAwQ4QAAGaIEADADBECAJghQgAAM0QIAGCGCAEAzBAhAIAZIgQAMEOEAABmiBAAwAwRAgCYIUIAADNECABghggBAMwQIQCAGSIEADBDhAAAZogQAMAMEQIAmCFCAAAzRAgAYIYIAQDMECEAgBkiBAAwQ4QAAGaIEADADBECAJghQgAAM0QIAGCGCAEAzBAhAIAZIgQAMEOEAABmiBAAwAwRAgCYIUIAADNECABghggBAMwQIQCAmbhF6LXXXlNhYaHS0tJUWlqq9957L16nAgAkqbhEqKWlRdXV1dqwYYOOHj2qe+65R4sXL1Z3d3c8TgcASFJxiVB9fb1+/OMf6yc/+YlmzZqlrVu3Kj8/X42NjfE4HQAgSXkeoYGBAXV2dqqioiJmf0VFhQ4ePDji+EgkonA4HLMBAMYHzyN07tw5DQ0NKTs7O2Z/dna2ent7RxwfDAYVCASiW35+vtcjAQASVNy+mODz+WIeO+dG7JOk2tpahUKh6NbT0xOvkQAACSbV6x942223KSUlZcSqp6+vb8TqSJL8fr/8fr/XYwAAkoDnK6FJkyaptLRUra2tMftbW1s1f/58r08HAEhinq+EJKmmpkZPP/20ysrKdPfdd6upqUnd3d1atWpVPE4HAEhScYnQD3/4Q3322WfauHGjPv30U5WUlOjNN9/U9OnT43E6AECS8jnnnPUQ/y4cDisQCGiRHlGqb6L1OACA6zToLmu/9ioUCikzM/Oax3LtOACAGSIEADBDhAAAZogQAMAMEQIAmCFCAAAzRAgAYIYIAQDMECEAgJm4XLbnRly5gMOgLksJdS0HAMC3MajLkq6+n19LwkWov79fknRAbxpPAgC4Ef39/QoEAtc8JuGuHTc8PKyzZ88qIyNj1JvgfRvhcFj5+fnq6en5xusWjXW8FrF4Pa7itbiK1+IqL14L55z6+/uVl5enCROu/alPwq2EJkyYoGnTpnnyszIzM8f9H6greC1i8XpcxWtxFa/FVTf6WnzTCugKvpgAADBDhAAAZsZkhPx+v1566SX5/X7rUczxWsTi9biK1+IqXourbvZrkXBfTAAAjB9jciUEAEgORAgAYIYIAQDMECEAgJkxGaHXXntNhYWFSktLU2lpqd577z3rkW66YDCoefPmKSMjQ1lZWXr00Ud14sQJ67ESQjAYlM/nU3V1tfUoJj755BMtX75cU6dO1eTJk3XXXXeps7PTeiwTg4ODevHFF1VYWKj09HTNnDlTGzdu1PDwsPVocdfe3q6lS5cqLy9PPp9Pb7zxRszzzjm9/PLLysvLU3p6uhYtWqTjx497PseYi1BLS4uqq6u1YcMGHT16VPfcc48WL16s7u5u69Fuqra2NlVWVurQoUNqbW3V4OCgKioqdPHiRevRTHV0dKipqUl33HGH9Sgmzp8/rwULFmjixIl666239Pe//12//e1vdeutt1qPZmLz5s3atm2bGhoa9I9//ENbtmzRr3/9a7366qvWo8XdxYsXdeedd6qhoWHU57ds2aL6+no1NDSoo6NDOTk5evDBB6PX9/SMG2O+973vuVWrVsXsKy4uduvXrzeaKDH09fU5Sa6trc16FDP9/f2uqKjItba2uoULF7qqqirrkW66devWufLycusxEsaSJUvcypUrY/Y99thjbvny5UYT2ZDk9uzZE308PDzscnJy3K9+9avovi+++MIFAgG3bds2T889plZCAwMD6uzsVEVFRcz+iooKHTx40GiqxBAKhSRJU6ZMMZ7ETmVlpZYsWaIHHnjAehQz+/btU1lZmR5//HFlZWVp7ty52r59u/VYZsrLy/Xuu+/q5MmTkqQPP/xQBw4c0EMPPWQ8ma3Tp0+rt7c35r3U7/dr4cKFnr+XJtwFTG/EuXPnNDQ0pOzs7Jj92dnZ6u3tNZrKnnNONTU1Ki8vV0lJifU4Jl5//XUdOXJEHR0d1qOY+vjjj9XY2Kiamhr97Gc/0wcffKC1a9fK7/frRz/6kfV4N926desUCoVUXFyslJQUDQ0NadOmTXryySetRzN15f1ytPfSM2fOeHquMRWhK756Cwjn3H98W4ixYPXq1froo4904MAB61FM9PT0qKqqSu+8847S0tKsxzE1PDyssrIy1dXVSZLmzp2r48ePq7GxcVxGqKWlRbt27VJzc7Nmz56trq4uVVdXKy8vTytWrLAez9zNeC8dUxG67bbblJKSMmLV09fXN6Lo48WaNWu0b98+tbe3e3aLjGTT2dmpvr4+lZaWRvcNDQ2pvb1dDQ0NikQiSklJMZzw5snNzdXtt98es2/WrFn64x//aDSRrRdeeEHr16/XE088IUmaM2eOzpw5o2AwOK4jlJOTI+nLFVFubm50fzzeS8fUZ0KTJk1SaWmpWltbY/a3trZq/vz5RlPZcM5p9erV+tOf/qS//vWvKiwstB7JzP33369jx46pq6srupWVlWnZsmXq6uoaNwGSpAULFoz4qv7Jkyc1ffp0o4lsXbp0acRN11JSUsbFV7SvpbCwUDk5OTHvpQMDA2pra/P8vXRMrYQkqaamRk8//bTKysp09913q6mpSd3d3Vq1apX1aDdVZWWlmpubtXfvXmVkZERXh4FAQOnp6cbT3VwZGRkjPgu75ZZbNHXq1HH3Gdnzzz+v+fPnq66uTj/4wQ/0wQcfqKmpSU1NTdajmVi6dKk2bdqkgoICzZ49W0ePHlV9fb1WrlxpPVrcXbhwQadOnYo+Pn36tLq6ujRlyhQVFBSourpadXV1KioqUlFRkerq6jR58mQ99dRT3g7i6XftEsTvfvc7N336dDdp0iT33e9+d1x+LVnSqNuOHTusR0sI4/Ur2s459+c//9mVlJQ4v9/viouLXVNTk/VIZsLhsKuqqnIFBQUuLS3NzZw5023YsMFFIhHr0eLub3/726jvEStWrHDOffk17Zdeesnl5OQ4v9/v7r33Xnfs2DHP5+BWDgAAM2PqMyEAQHIhQgAAM0QIAGCGCAEAzBAhAIAZIgQAMEOEAABmiBAAwAwRAgCYIUIAADNECABghggBAMz8HxXAtf7vY+s0AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(from_ttpf_model[0,:,:], origin='lower')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "c7d1d525",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/nthom/TESS_GI/lightkurve/src/lightkurve/prf/prfmodel.py:277: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  scale = 1.0 / scale\n",
      "/Users/nthom/TESS_GI/lightkurve/src/lightkurve/prf/prfmodel.py:299: RuntimeWarning: invalid value encountered in multiply\n",
      "  rot_row.flatten() * scale, rot_col.flatten() * scale, grid=False\n",
      "/Users/nthom/TESS_GI/lightkurve/src/lightkurve/prf/prfmodel.py:302: RuntimeWarning: divide by zero encountered in divide\n",
      "  prf = prf / (1 / scale) ** 2\n",
      "/Users/nthom/TESS_GI/lightkurve/src/lightkurve/prf/prfmodel.py:302: RuntimeWarning: invalid value encountered in divide\n",
      "  prf = prf / (1 / scale) ** 2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Look how the scale keyword performs\n",
    "\n",
    "# TODO: What is going on for scale factors < 1\n",
    "\n",
    "from_ttpf = lk.prf.from_tpf(ttpf)\n",
    "#from_ttpf = ttpf.prf\n",
    "for ii in np.arange(0, 4, 0.5):\n",
    "    model = from_ttpf.prf_model(scale = ii)\n",
    "    plt.title(f\"scale: {ii}\")\n",
    "    plt.imshow(model[0,:,:], origin='lower')\n",
    "    plt.text(0,0,f\"sum: {np.sum(model)}\", color='white')\n",
    "    plt.show()\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "e2f33b4b",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/43/zmh1bgsx5x935k5ctwcdnkxhh20lg4/T/ipykernel_57817/22899518.py:7: RuntimeWarning: divide by zero encountered in log\n",
      "  ax[0].imshow(np.log(model[0,:,:]), origin='lower')\n",
      "/var/folders/43/zmh1bgsx5x935k5ctwcdnkxhh20lg4/T/ipykernel_57817/22899518.py:11: RuntimeWarning: divide by zero encountered in log\n",
      "  ax[1].imshow(np.log(model[0,:,:]), origin='lower')\n",
      "/var/folders/43/zmh1bgsx5x935k5ctwcdnkxhh20lg4/T/ipykernel_57817/22899518.py:15: RuntimeWarning: divide by zero encountered in log\n",
      "  ax[2].imshow(np.log(model[0,:,:]), origin='lower')\n",
      "/var/folders/43/zmh1bgsx5x935k5ctwcdnkxhh20lg4/T/ipykernel_57817/22899518.py:19: RuntimeWarning: divide by zero encountered in log\n",
      "  ax[3].imshow(np.log(model[0,:,:]), origin='lower')\n"
     ]
    },
    {
     "data": {
      "image/png": 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L7PKnT7Kr8cR6dhnjTn6RXXbIrtjJroAx//fucAAAAAAAAICjYu49uQAAAAAAAIBIMeQCAAAAAACA8xhyAQAAAAAAwHkMuQAAAAAAAOA8hlwAAAAAAABwHkMuAAAAAAAAOI8hFwAAAAAAAJzHkAsAAAAAAADOY8gFAAAAAAAA5zHkAgAAAAAAgPMYcgEAAAAAAMB5/x9woE4DbQTf1wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1500x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Look how the rotation_angle keyword performs\n",
    "test_prf = lk.prf.TessPRF(column=100, row=200, camera=4, ccd=2, shape=(15,15))\n",
    "\n",
    "fig, ax = plt.subplots(1,4, figsize=(15,4))\n",
    "\n",
    "model = test_prf.prf_model(rotation_angle = 0)\n",
    "ax[0].imshow(np.log(model[0,:,:]), origin='lower')\n",
    "ax[0].set_title(\"rotation: 0\")\n",
    "\n",
    "model = test_prf.prf_model(rotation_angle = np.pi/2)\n",
    "ax[1].imshow(np.log(model[0,:,:]), origin='lower')\n",
    "ax[1].set_title(\"rotation: $\\pi$/2\")\n",
    "\n",
    "model = test_prf.prf_model(rotation_angle = np.pi)\n",
    "ax[2].imshow(np.log(model[0,:,:]), origin='lower')\n",
    "ax[2].set_title(\"rotation: $\\pi$\")\n",
    "\n",
    "model = test_prf.prf_model(rotation_angle = 3*np.pi/2)\n",
    "ax[3].imshow(np.log(model[0,:,:]), origin='lower')\n",
    "ax[3].set_title(\"rotation: $3\\pi$/2\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a921926",
   "metadata": {},
   "source": [
    "# Timing tests"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "2c21dfb2",
   "metadata": {},
   "outputs": [],
   "source": [
    "import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "692088df",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/nthom/TESS_GI/lightkurve/src/lightkurve/search.py:423: LightkurveWarning: Warning: 4 files available to download. Only the first file has been downloaded. Please use `download_all()` or specify additional criteria (e.g. quarter, campaign, or sector) to limit your search.\n",
      "  warnings.warn(\n"
     ]
    }
   ],
   "source": [
    "ktpf = lk.search_targetpixelfile('Kepler-18', quarter=3).download()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "fb245dac",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "---0.027348041534423828 seconds ---\n",
      "---0.022031784057617188 seconds ---\n",
      "---0.021489858627319336 seconds ---\n",
      "---0.023343801498413086 seconds ---\n",
      "---0.022780179977416992 seconds ---\n"
     ]
    }
   ],
   "source": [
    "ktpf = lk.search_targetpixelfile('Kepler-18', quarter=3).download()\n",
    "for ii in range(5):\n",
    "    start_time = time.time()\n",
    "    prf_model = ktpf.prf\n",
    "    print(\"---%s seconds ---\" % (time.time() - start_time)) \n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "a84ae7f7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "---0.04161500930786133 seconds ---\n",
      "---0.023255109786987305 seconds ---\n",
      "---0.026937007904052734 seconds ---\n",
      "---0.022432804107666016 seconds ---\n",
      "---0.022182226181030273 seconds ---\n"
     ]
    }
   ],
   "source": [
    "ktpf = lk.search_targetpixelfile('Kepler-18', quarter=3).download()\n",
    "for ii in range(5):\n",
    "    start_time = time.time()\n",
    "    prf_model = ktpf.get_simple_aperture()\n",
    "    print(\"---%s seconds ---\" % (time.time() - start_time)) \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "b4587c20",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "---0.04174327850341797 seconds ---\n",
      "---0.0229337215423584 seconds ---\n",
      "---0.022967815399169922 seconds ---\n",
      "---0.022063016891479492 seconds ---\n",
      "---0.02197718620300293 seconds ---\n"
     ]
    }
   ],
   "source": [
    "for ii in range(5):\n",
    "    start_time = time.time()\n",
    "    prf_model = ktpf.estimate_completeness(ktpf.pipeline_mask)\n",
    "    print(\"---%s seconds ---\" % (time.time() - start_time)) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "63b69911",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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