{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "pvoEpEKIh6dg" }, "source": [ "# Instrumental Noise in _Kepler_ and _K2_ #2: Spurious Signals and Time Sampling Effects" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "L57_f2QscO85" }, "source": [ "## Learning Goals\n", "\n", "By the end of this tutorial, you will:\n", "\n", "- Understand the causes behind various spurious signals in _Kepler_ and _K2_ data.\n", "- Be able to identify which data products are affected by these signals.\n", "- Be able to recognize quality issues specific to Short Cadence data." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "D0ixWhW-cTfm" }, "source": [ "## Introduction\n", "\n", "This tutorial is the second part of a series on identifying instrumental and systematic sources of noise in _Kepler_ and _K2_ data. The first tutorial in this series is suggested (but not necessary) reading for working through this one. Assumed knowledge for this tutorial is a working familiarity with _Kepler_ light curve files, periodograms, and a basic understanding of aperture photometry." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "f0yfyjrD2ERM" }, "source": [ "## Imports\n", "\n", "We'll use **[Lightkurve](https://docs.lightkurve.org/)** for downloading and handling _Kepler_ data throughout this tutorial. We'll also use **[NumPy](https://numpy.org/)** to handle arrays for aperture masks." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": {}, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:05.884186Z", "iopub.status.busy": "2023-11-03T14:14:05.883708Z", "iopub.status.idle": "2023-11-03T14:14:07.254510Z", "shell.execute_reply": "2023-11-03T14:14:07.253888Z" }, "id": "LQ6s2Mlwc4l9" }, "outputs": [], "source": [ "import lightkurve as lk\n", "import numpy as np\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "4pkFNT6QRQDz" }, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "XMPMikC-cq3N" }, "source": [ "## 1. Background\n", "\n", "The _Kepler_ space telescope observed the same patch of sky for four continuous years, between 2009 and 2013. Over the course of 18 observing quarters, it collected light curves and pixel data for 150,000 stars in 30-minute Long Cadence mode, and 512 stars per quarter in one-minute Short Cadence mode. Following the failure of two of the telescope's four reaction wheels, the telescope continued as the _K2_ mission, which observed along the ecliptic plane for 20 observing campaigns.\n", "\n", "_Kepler_ and _K2_ time series data have been extensively analysed, in both the time domain and the frequency domain. In this tutorial, we'll look at spurious signals — that is, signals introduced by non-astronomical sources — in data from both missions, across simple aperture photometry (SAP) and presearch data conditioning SAP (PDCSAP), as well as in individual pixel time series from target pixel files (TPFs). Many of the effects we'll cover were corrected by the presearch data conditioning (PDC) pipeline, but are still of interest to anyone working closely with pixel data or performing custom photometry. " ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "cDi6lNTbiMLt" }, "source": [ "## 2. Early _Kepler_ Mission Spurious Signals\n", "\n", "As _Kepler_ data processing evolved over the course of the mission, there were issues in the first few quarters that were mitigated by various alterations to the algorithms and systems involved. In this section, we're going to look at two spurious signals that you might come across in the first year of data from the _Kepler_ mission." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "y0TBdeDoidW3" }, "source": [ "### 2.1 Focus changes\n", "\n", "Throughout the nominal _Kepler_ mission, there was a regular momentum desaturation of the reaction wheels which controlled the telescope's pointing. In Quarters 1–3, an issue with the onboard temperature controller meant that momentum desaturation events induced non-sinusoidal variations with periods on order a few hours, reflecting a heating cycle. This was fixed at the end of Quarter 3, greatly reducing the amplitude of the focus changes, to the point that they can't be seen at all in Quarters 8–13. ([_Kepler_ Data Characteristics Handbook](https://archive.stsci.edu/files/live/sites/mast/files/home/missions-and-data/kepler/_documents/Data_Characteristics.pdf), Section 5.2.)\n", "\n", "For a closer look at data quality events caused by the reaction wheels, see part one of this tutorial series, and the [_Kepler_ Data Characteristics Handbook](https://archive.stsci.edu/files/live/sites/mast/files/home/missions-and-data/kepler/_documents/Data_Characteristics.pdf), Section 5.3.\n", "\n", "The focus changes are corrected by the PDC pipeline, but if you're working with simple aperture photometry you might come across some spurious signals. The following code selects one pixel from a TPF and plots its SAP light curve:\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 394 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:07.256995Z", "iopub.status.busy": "2023-11-03T14:14:07.256782Z", "iopub.status.idle": "2023-11-03T14:14:09.494604Z", "shell.execute_reply": "2023-11-03T14:14:09.494240Z" }, "executionInfo": { "elapsed": 2461, "status": "ok", "timestamp": 1599076561707, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "owwK6_8FiqAW", "outputId": "b2487abe-d90d-42ff-d84e-1d39bc1e21aa" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/chedges/Library/Caches/pypoetry/virtualenvs/lightkurve-hY241qo1-py3.9/lib/python3.9/site-packages/astropy/io/fits/fitsrec.py:715: UserWarning: Field 12 has a repeat count of 0 in its format code, indicating an empty field.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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0xMPDg1GjRtGyZcv7XuPMmTNAYfL7Xz/++KPWHfeH8fT0ZNu2bQQHB5OVlYWtrS1+fn4EBQVpLS3S09Pjs88+48cff2TJkiXk5ubi5+fHrFmzlKTdyMgIJycntm3bRlJSEsbGxjg6OvLuu+/SqVMnreu2atWKjz76iF9//ZVdu3ZhY2PDoEGDePnll5UYFxcXdu3axZ49e8jOzsbW1pauXbsyePDgCqmPr9JoNJpyv4oACr8uGjBgAOvXr5c190IIIUQVEhsby4IFCxg3bpzOnWUhysKD/oyVJoeUNfdCCCGEEEJUE5LcCyGEEEIIUU3ImvtKIHXuhRBCCCFEeaiyyX1MTAzr1q0jMjKSlJQUjI2NcXV1pV+/fjplknJzc1mzZg3BwcGkp6fj5ubGkCFDaNq0qVbchQsXmDBhQrHXmzt3Lr6+vqXuszhS514IIYQQQpSHKpvcJyYmkpmZSZcuXbCxsSE7O5tjx44xY8YM3n33Xbp3767ELlq0iKNHj9KnTx+cnJz466+/mDZtGl988QV+fn46fffu3VunDqmjo6PW69L2KYQQQoiqq+gb9/z8/Eoeiaiuiv5s/Xd1R2lV2eS+RYsWtGjRQqutV69ejB07lm3btinJfUREBIcOHWL48OH069cPgM6dOzN69GhWrlzJ3Llzdfr28/MjMDDwvtd+lD6FEEIIUXUVlU2Mioq6bx13IR5H0UZb/66r/yiqbHJfHH19fezs7Lhy5YrSdvToUfT09LTu5BsZGdG1a1dWrVpFYmIi9vb2On2p1WqMjY2LrUf6qH0KIYQQomoyMzMjICCA33//HQAPD48KqVkuqr/8/HyioqL4/fffCQgIeOyl21U+uc/KyiI7Oxu1Ws2JEyc4ffo07du3V45HRUXh7Oys80bVq1cPgOjoaJ1EfPHixWRmZqKnp4efnx/Dhw/XWqbzKH0KIYQQomrr378/gJLgC1GWAgIClD9jj6PKJ/c//fQTu3fvBgrXKLVp04a33npLOZ6cnFzs1xtFbUlJSUqbgYEBbdu2pUWLFtSoUYPr16+zdetWgoKCmDNnDp6enqXuszhqtbpEczM0NMTQ0LBEsUIIIYQoX3p6egwYMIDevXuTkpJCQUFBZQ9JVAN6enpYW1uXWbGVKp/c9+nTh8DAQJKTkzl8+DAFBQXk5uYqx3NycopNkI2MjJTjRerXr0/9+vWV161btyYwMJD33nuPVatWMW3atFL3WZzhw4eXaG4DBw5k0KBBJYoVQgghRMUwMzOTqnfiiVXlk3sXFxdli97OnTszefJkZsyYwfz581GpVBgZGWkl+0WKEvCihPx+nJycCAgI4NixY+Tn56Ovr//Yfa5YsaJE/yjIXXshhBBCCFEa1W6H2sDAQK5cuUJ8fDwANjY2pKSk6MQVtdna2j60Tzs7O/Ly8sjOzi6TPos+8T/sR5J7IYQQQghRGtUuuS+6e160rt3d3Z34+Hidde7h4eHK8Ye5desWRkZGmJiYlFmfRVJTU0scK4QQQgghxINU2eS+uKQ4Ly+P/fv3Y2RkpCzVCQwMpKCgQHnoFgp3l923bx8+Pj5aVW3u3r2r02d0dDQhISE0bdpU2VSgNH0+yJ07dxg8eHCJYoUQQgghhHiYKrvmfsmSJajVavz9/bGxsSE1NZUDBw4QFxfHyJEjMTU1BcDHx4fAwEBWrVrF3bt3cXR0ZP/+/SQkJDBmzBitPufMmYORkRG+vr7UrFmT69evs2fPHoyNjXn99deVuNL0eT8FBQUsWbIEIyMjcnJytNbpazQaVCpVGbxLQgghhBDiaVJlk/v27dvz559/smvXLtLS0jA1NcXLy4thw4bRunVrrdhx48axevVqgoODSU9Px83NjSlTpuDv768V17p1aw4ePMj27dtRq9VYWVnRpk0bBg4ciJOT0yP1eT9z5syhYcOGmJiYkJycjIODg3Lsl19+wdXVlY4dOz7amyOEEEIIIZ5KKo1Go6nsQTwt1Go1AwYMICMjA1NTU+rWrUt8fDxWVlYMGDCAXr16AfD+++9jZWXF9OnTK3nEQgghhBCishXlkOvXr39oxcUqe+e+Kvvuu++oW7cuJiYmbNu2jZo1a1KzZk2g8IFgfX19UlNTycvLw8BA/i8SQgghhBAlU2UfqK3KXFxclMo7dnZ2nDt3jk8++YS8vDx27dpFw4YNadasGadPn0atVhMREaGcm56eTkJCQmUNXQghhBBCPMEkua9ktra2HDlyBCsrK8aMGUN8fDyvvPIK3bp1Y/v27XzwwQdMmzaNotVTO3bsYN26dZU8aiGEEEII8SSSNR+VzM7OjujoaBYvXszly5d54403ADA3NychIYFhw4Zx6NAhbt++jYODAydPnqSgoIC0tDTMzMzQ19dX+pIqO0IIIYQQTze5c1/JrK2tMTY2pnXr1kpiX+Sbb76hXbt2eHt7c+XKFc6dO4dKpUKj0TBz5kyOHDmixN6+fZvhw4eTm5tb0VMQQgghhBBPCEnuK5mBgQGDBg0q9sHZonX53t7e/PLLL6xbt45Ro0bh4uLCpUuXCAsLIzk5GYBNmzbh4+PDxo0bK3T8QgghhBDiySHJ/RPg3XfffeBxLy8vwsPD+fTTT/Hx8aFDhw58+umnXLlyhTfeeIPQ0FAuXbrERx99xMmTJ3XO12g0vPPOOxw4cKCcZiCEEEIIIZ4Esua+EowbNw49Pe3PVb169VLq3P+XhYUFK1euxMrKCoAWLVoAsHTpUpydnZk8eTKvv/46BgYGFBQU6Ky9P3/+PL6+vmzevFlnYyyNRsOYMWP48ssvsbCwKMNZCiGEEEKIiibJfSVYsGDBQzcg+C93d3edtjZt2tCtWzd++OEHunfvDoCjoyO3bt3C1taWzz77jFdeeYU9e/YwYMAAfvzxR27fvs2tW7do3LgxAMHBwVy5coWYmBj8/Pwef3JCCCGEEKLSSHJfhf3vf/8DYObMmUqbr68vZ86c4cCBAzzzzDMsXrwYJycn3N3dqVevHkuXLuXu3bssWLAAgN9++43//e9/xMbGSnIvhBBCCFHFSXJfzTRr1ozFixfTv39/AgICMDIyolWrVgD4+PiwbNky6tevD0B8fDzW1tb4+Phw+PBhnb4uXryIhYUFdevWrdA5CCGEEEKIRyMP1FYzrq6uzJ8/n4CAAAC6detGzZo1gcK7+u3atcPR0ZHU1FT++OMPevXqhaurK9evXyckJESrrx9++IE9e/ZU6PjT09Mr9HpCCCGEENWJJPdPkZo1azJr1ix8fHwIDw/nn3/+oVmzZlhYWHD58mUmTZpEaGgoUFg338TEhMuXL9+3v7t37yqlOMtKUFAQBQUFZdqnEEIIIcTTQpL7p4xKpaJp06YsWbIEPz8/pWpP9+7d+emnn1i5ciX5+fnMnTuX4cOHAxS7MVZeXh5r165l+/btZTq+5ORk1Gp1mfYphBBCCPG0kDX3laC0pTDLmp+fHwsWLFA2yQJ48803gcIdc+fNm0fbtm3x8fGhYcOGnDt3Dn9/fyU+KiqKGTNmYGRkhI2NTZmO7d69e6SlpUlZTiGEEEKIRyDJfSV4lFKYZc3Ozq7Y9ldeeYX58+fz0UcfAdCpUyfWr1/P559/zjfffEOdOnWIiIhApVLh7e3N9evXy3RcaWlp3Lt3D0dHxzLtVwghhBDiaSDJvdDi7e3Nd999p2yC5e7uzrlz5/D19WX9+vW4u7tz48YNgoKC8PDwYPLkyaSnp5fJnfa8vDwyMjJIS0t77L6EEEIIIZ5GsuZe6Pj37rYAH330EVOmTCEyMpIdO3Zw5swZ3N3dMTAwwN/fn6+++oqMjIzHvm56ejp6enpSMUcIIYQQ4hFJci8eqlmzZpiZmfHdd98xZMgQ0tLSMDQ0BGDQoEE0a9aMdevWERUV9VjXSUtLo1atWty7d68shi2EEEII8dSR5F6USmBgIK+//rryWqVS8dxzz3Hy5Ek+/fRTzpw588h9p6Wl4eTkJMtyhBBCCCEekST3olSMjY11qvqoVCq+++47vv/+e3788UciIyN57733OHjwYKn6vnfvHs7OzpLcCyGEEEI8InmgthJUdinM8qCnp0fNmjXp168f77//Pt9//z0LFy4kMzMTU1NTOnTocN9z79y5g4mJCWlpaTg7O5OSklKBIxdCCCGEqD4kua8ET0IpzPLSpUsXWrdujYWFBXl5efz111/UqFFD2QkX/u+B3YSEBG7cuMGJEydwdHQkLy8PJycnrfKaGRkZUhpTCCGEEKKEqmxyHxMTw7p164iMjCQlJQVjY2NcXV3p168frVq10orNzc1lzZo1BAcHk56ejpubG0OGDKFp06Y6/ZY0tjR9Pm2KkngPDw8uXrxIVlYW7777LhMmTODbb79lwYIFGBgYsGzZMrKzs8nJySE9PR1bW1vc3NxIT09HrVbz3Xff4ebmRmhoKJ999lklz0oIIYQQ4slXZdfcJyYmkpmZSZcuXXjzzTd59dVXAZgxYwa7d+/Wil20aBHbtm2jQ4cOjBo1Cj09PaZNm8bFixd1+i1pbGn6fFq1atWK9u3b4+DggEql4tSpU5w4cYLQ0FBu3ryJWq3m3r17ZGZmEhcXR1paGlZWVmg0GuLi4ti8eTOHDh3i+vXrFBQUAPDXX3+Rm5tbyTMTQgghhHgyqTQajaayB1FW8vPzGTt2LDk5OSxduhSAiIgIxo8fz/Dhw+nXrx8AOTk5jB49GisrK+bOnaucX9LY0vT5b2q1mgEDBrB+/fpquyznvzQaDUlJSWRkZDBu3Djc3Nzw9fUlKyuLZ555hrVr15Kfn09ubi42Nja88847zJw5k969e7Nq1Sr09PRo2bIlbdq0oV69evTs2ZOFCxc+9BuSW7du4eDgUEGzFEIIIYQoP6XJIavsnfvi6OvrY2dnp7Wh0tGjR9HT06N79+5Km5GREV27diUsLIzExMRSx5amz6edSqXCzs4OV1dX7t27R//+/QkODiYsLIxGjRrh7e2Nq6sr9vb2ZGVlYWdnh0aj4fr167z++uuMHDmSfv36sXTpUr777jt69OhBSEjIA6+Zm5vL8OHDqUafW4UQQgghSqTKrrkvkpWVRXZ2Nmq1mhMnTnD69Gnat2+vHI+KisLZ2VnnU069evUAiI6Oxt7evlSxpelTFFKpVHTs2BF/f39WrFiBvr4+KpWK9u3bk5GRgbOzM1ZWVqhUKry8vDhw4ACzZ8+mdu3aAEyaNImwsDDatWvHJ5988sBrnT59mtTUVJKSkrCzs6uI6QkhhBBCPBGqfHL/008/KWvs9fT0aNOmDW+99ZZyPDk5GWtra53zitqSkpJKHVuaPoujVqsfeLyIoaGhshNsdTBx4kSdNh8fH522Jk2asG7dOq0PSHXq1KFOnToA1KpVi/DwcJ1zL168iLOzMwcOHKBHjx7ExcVJci+EEEKIp0qVT+779OlDYGAgycnJHD58mIKCAq0HLnNycopNkI2MjJTjpY0tTZ/FGT58+MOmBcDAgQMZNGhQiWKrk0aNGuHs7KyzF0CRUaNGMW/ePIKCgvjggw/o1q0bQ4YM4dtvv+WZZ54hNjaWF198kdjYWJo0aVKxgxdCCCGEqERVPrl3cXHBxcUFgM6dOzN58mRmzJjB/PnzUalUGBkZFVtdpSgBL0rIi/67JLGl6bM4K1asKNEDtdXprn1p1KhRgwULFtz3eK1atcjLy+P8+fP07NmTo0eP0rt3bwwMDFi/fj1dunTBxcWF/fv3K+doNBqlvv6/paWl8eeffyoPRgshhBBCVGXV6oFagMDAQK5cuUJ8fDwANjY2xe54WtRma2urtJU0tjR9FsfMzKxEP09rcg8oS3Dux8vLix07dtCgQQNsbGxYsWIFPXr0wMXFhQ4dOlCnTh1iY2MB2Lx5M7NmzeL48eNKW5G//vqLn3/+udiHb9PS0qS+vhBCCCGqlGqX3BfdPS9a1+7u7k58fLzOOvfw8HDleJGSxpamT1E+/Pz8OHr0KN7e3jzzzDMkJSXRrVs3Zs+ejb+/P+bm5qSnp3Pv3j2Cg4NJSUlh3rx57N27V6ufgwcP0rRpU+XDYJH9+/czc+ZMzp49K1V3hBBCCFFlVNnkPjU1VactLy+P/fv3Y2RkpCzVCQwMpKCgQGtjq9zcXPbt24ePj4/WQ5sljS1Nn6J8+Pn54eLigqmpKV26dGHGjBno6elhYmKixFhZWfH777/z3HPP8c477zBjxgxCQ0MBWLt2LXFxcVhZWdG+fXv+/vtvAA4fPkxCQgKbN2+mT58+NG3alLt371bKHIUQQgghSqvKrrlfsmQJarUaf39/bGxsSE1N5cCBA8TFxTFy5EhMTU2BwmosgYGBrFq1irt37+Lo6Mj+/ftJSEhgzJgxWn2WNLY0fYryYWdnx8yZMx8Y07JlS7766ivWr1+vLJXS19dn7dq1/P777/zxxx+8++67NGrUiEmTJnHp0iVCQ0Pp0aMHlpaWtGnThgsXLhAfH0/NmjWVfi9fvoyLiwsWFhblOUUhhBBCiFKrssl9+/bt+fPPP9m1axdpaWmYmpri5eXFsGHDaN26tVbsuHHjWL16NcHBwaSnp+Pm5saUKVPw9/fX6beksaXpU5QPLy+vBx5v1aoVLi4uWs9AjBw5knPnzvHDDz/w8ccf07JlS/T19Zk3bx63b9/G1NSUwYMH079/fwCcnZ25ceMGfn5+Sh9fffUVL7zwgtYmZnl5edy9e/ehz1sIIYQQQpQnlUYWFFeYoq2Diyvz2KtXL3r16lVJI6u+srKytJbqlMSIESN46623aNWqFWfPnuXs2bMMGzYMKHxo+uOPP6Zu3bpMmjRJOWfTpk1cvHhRHsAVQgghRJkryiHXr1//0IqLVfbOfVW2YMGCEpXCFI+vtIk9wOjRo2nQoAEATk5ObNq0iXv37qFSqVi0aBEDBw5k69atSnxeXh779u17pGsJIYQQQpSlKvtArRDlpVmzZkqibmdnR40aNQgKCmLZsmU8++yzdO7cGXd3d86ePQsU7ozbvHnzShyxEEIIIUQhSe6FeAA9PT0+/vhjAgICuHbtGu3btwcKd8ldunQpKSkpnD59mubNm2NqakpGRoZOH/n5+RU9bCGEEEI8pSS5F6IEBg0axIwZM5TXlpaWfPjhh3z66accPXoUf39/XFxciIuL0zovLy+P/v37c+fOnYoeshBCCCGeQpLcC1ECBgYGWuUwobBaz9SpU2nTpg1GRka4urpq7YD73XffceDAAby8vPjuu++U9sTExGL3aRBCCCGEeFyS3AvxGBwcHHjjjTcA8PX1JSQkBChcirNv3z5mzpzJ66+/TmpqqrJkZ/HixXz55Zey860QQgghypxUy6kE48aNk1KY1ZCXlxeZmZlcvXqVnJwcOnfuTH5+PvXr16d9+/YcPnwYf39/9PX18fb2ZvXq1QwdOrSyhy2EEEKIakSS+0ogpTCrr9GjRzNjxgxcXV3p1KkTLVu2BKBTp07MmjWLlJQUunXrRtu2bZk9ezaHDh3imWeeqeRRCyGEEKK6kGU5QpSh2rVrM2TIELy9vWnWrJnSbmVlRUZGBmfPnqVx48aoVCrGjh3LmjVryMvLq8QRCyGEEKI6keReiDIWEBDAiy++iL6+vla7j48PN2/exMLCAgBjY2MaNmxIVFQUAHFxcSxZsqTCxyuEEEKI6kOSeyEqSJs2bWjcuLFWW4MGDbh48SIAZ8+e5cSJE5UxNCGEEEJUE4+85n7//v1lNojOnTuXWV9CPKmaNWumk9z7+fnx448/8uKLLxIaGkpubi55eXkYGPzfX83Q0FD8/f0rerhCCCGEqIIeOblftGgRKpWqTAYhyb14Wvx3qU6tWrUIDw9n7ty5XL9+nVatWnH9+nU8PDyUmEmTJrF8+XLOnTtHp06dtM5PTU1l0aJFjB8/HktLS6Bwec+XX37JsGHDlAd6ixQUFOhUahJCCCFE9fFY1XLc3NwICAh45PP//vtvrl279jhDqJKkFKYoolKp+Pzzz4mLi0Oj0eDj48OWLVt4/vnn8fX1Ra1Wc+vWLXbs2MEvv/xCx44dtT5Uz549G09PT7Zv386QIUOAwuU9AQEB7N27Vyu5Lygo4P333+frr7+u8HkKIYQQomI8VnLv4eHBwIEDH/n827dvP5XJvZTCFP/m6uqKq6srbdu2JSkpiYyMDJYvX84rr7yCsbExgYGBrFmzBgsLC+Li4nBxcQEKd7rV09Nj+PDhjB49moEDB6Kvr09kZCQvvPACCxcu1LrOrVu3+Oeff+TuvRBCCFGNPfJveDMzM4yNjR/r4kZGRpiamj5WH0JUJ7a2tvTv359PP/2U9evXc+XKFXr06EFWVhavvfYa586dU2K3bt1Knz590NfXJzAwkEOHDgEQExODi4sLFhYWpKWlKfHXr18H4ObNmxU7KSGEEEJUmEdO7n/99Vfeeuutx7r4O++8w6+//vpYfQhRHVlbW2Nvb8+6deuoX78+ixYtok2bNpw9exaAjIwMzp8/T6tWrQDo27cvv/76KxkZGRQUFGBgYECjRo2UeIBr167RunVroqOjK2FGQgghhKgI8t28EE+ojz76iEWLFuHk5ETTpk1xcHDgxo0baDQafv75ZwYMGKCsv7ewsODtt9/mww8/xN7eHoCOHTtqVbWKiYmhY8eObNmyhVWrVlXKnIQQQghRviS5F+IJpVKpcHZ21nqA1sfHh82bN3Pjxg3at2+vFd+kSRO+++47Jk6cCICDgwPJycnk5OQwZcoUTp06Rdu2bbl69Spnzpyp0LkIIYQQomJIci9EFdKhQwe2bNlCUFDQfWP+/WGgZcuWhISEkJKSwsiRI7Gzs2PTpk1oNBoOHTrEiBEj2Lx5M1lZWQwfPhy1Wk1ubm5FTEUIIYQQ5aDMk/vTp0/zxhtvlHW3QggK787/8ssvWFhYlCg+ICCA1atX4+vrS/fu3QEwNDTE1NSUHTt2MHv2bK5fv87IkSNxcHDghx9+0Pr7e+fOHVJSUggLCyMvL69c5iSEEEKIsvNYpTCLk5WVRWJiYll3W61InXvxOP67EdaDeHp6cu3aNQYPHqzV7u7uzr59+7C3t2fs2LGkp6cD0KdPH7y8vLhz5w55eXns2LGD/fv3c+vWLb755hsaNGhQpnMRQgghRNkqcXK/evXqEsXFxcU98mBKIyIigv3793P+/HkSEhKwtLTEx8eHoUOH4uzsrBUbGRnJL7/8wuXLl4HCdcvDhw/X2gX0woULTJgwodhrzZ07F19fX6223Nxc1qxZQ3BwMOnp6bi5uTFkyBCaNm360LFLnXtRUVQqFa+++iqNGjXSand3d6dJkybK66JvArZu3cqff/7Jxx9/jKurK9nZ2UyePJkrV64QEREhyb0QQgjxhCtxcr9hwwbMzc0fmpTm5OQ89qBKYvPmzVy+fJnAwEDc3NxITU1lx44dfPDBB8ybN4+6desChYn9J598gp2dHQMHDkSj0bBz504+/fRT5s+fT506dbT67d27N97e3lptjo6OOtdftGgRR48epU+fPjg5OfHXX38xbdo0vvjiC/z8/Mpv4kKU0rBhw3TaAgMD8ff312m3srKiZcuW7Nq1i+TkZFQqFfXr18fS0pJ169YpcWq1mtDQUKUUpxBCCCGeDCVO7h0cHPDz8+P9999/YNzRo0eZM2fOYw/sYfr27cuHH36IoaGh0ta+fXtGjx7Npk2bGD9+PABr1qzByMiIuXPnUqNGDaCwROBbb73FqlWrdO7W+/n5ERgY+MBrR0REcOjQIYYPH06/fv0A6Ny5M6NHj2blypXMnTu3LKcqRJkzMzO77wf1unXrsmzZMqZNm0ZWVhYATk5OxMfHKzFbt25lx44dfPjhhzRv3rxCxiyEEEKIhyvxA7W+vr7KspaH0Wg0jzygkqpfv75WYg+FCYirqyuxsbFK28WLF2ncuLGS2APY2Njg5+fHyZMnyczM1OlbrVaTn59/32sfPXoUPT095QFFKNxtt2vXroSFhckzB6LKK9oEy8vLCwA9PT00Gg27d+8mLy+PI0eO8O2337Jp06Ziz5eKO0IIIUTlKPGd+z59+nDp0qWHxvn7+/PFF1881qAelUajITU1FVdXV6UtNzcXY2NjnVhjY2Py8vKIiYnRWk+/ePFiMjMz0dPTw8/Pj+HDh+ss04mKisLZ2Vnnzme9evUAiI6OVjYSEqKq6tGjh9aH3ylTprBo0SLCw8Pp1KkT1tbWZGVlkZ2dzeXLl/H09MTS0pKMjAwGDx7Mxo0bdT6ACyGEEKJ8lfjOvZeXF3369HlonJWVFQ0bNnysQT2qAwcOkJSUpLW5T506dQgPD9e6E5+bm0tERAQASUlJQOGdyrZt2zJq1CgmTZrEkCFDuHbtGkFBQVy9elXrOsnJyVhbW+tcv6itqM/7UavVJfqRu5+iMllYWGh9SLW1teXtt99m586d9O7dGyiso3/8+HEWLFig7IZ77tw5zMzM2L17t06fsbGxFfLNnhBCCPG0KvNSmJUlNjaWpUuX4uvrS+fOnZX2nj178u233/LVV1/x0ksvodFoWL9+PSkpKcD/PQBcv3596tevr5zXunVrAgMDee+991i1ahXTpk1TjuXk5BR7R9LIyEirz/sZPnx4ieY0cOBABg0aVKJYISqCk5MTW7duxdTUFIDnn3+eMWPG4OzszNGjR3Fzc+PUqVN8+umnfPfddzRr1gxnZ2dOnTqFq6sr77//PnPmzMHLywuNRqO14dY///yDu7t7sR+chRBCCFEyj53cJyYmsmjRokpbigOQkpLC9OnTMTMzIygoSKsOeI8ePUhMTGTr1q3KnUUvLy/69evHhg0bMDExuW+/Tk5OBAQEcOzYMfLz85V+jYyMir2rXpTUFyX597NixYoSlcKUJQ3iSWRubq78d40aNejXrx8eHh789NNPrFu3jjNnzvDuu+8yadIk5syZw/Tp01m4cCG2traYmJhw5MgRatasSVBQED/88IOS4O/cuRMvLy8GDhxYWVMTQgghqrzHTu6zs7MJDQ0ti7E8koyMDKZOnUpGRgazZs3C1tZWJ+a1116jX79+xMTEYG5ujpubG6tWrQLQqYn/X3Z2duTl5ZGdna0k5DY2NsUuvSn6NqC4MfzbgyqVCFHVFC3Xmz9/Pnp6eqSmpqKvr4+TkxMNGzZk9OjRTJw4kblz5zJmzBjWrl2LkZERBQUFnDhxgoCAAKBwuduJEyeKTe6L1v4XfWMghBBCiOJV6WU5OTk5zJgxg/j4eD7//HOtB2n/y8LCQqv+/NmzZ7Gzs9Opc/9ft27dwsjISOsOv7u7O+fPn0etVmsl6eHh4cpxIZ42Rbsu16xZU2kbNmwYgwcPxsTEhIULF2JlZUV0dDRr1qxh+fLlfPXVV0pyr9FosLS05M6dO9jZ2Wn1vXPnTrKyshgyZEiFzUcIIYSoikr8QO2TJj8/nzlz5hAWFkZQUJDODrIPcvjwYa5cuUKfPn2UhOTu3bs6cdHR0YSEhNC0aVMlDgo3ACooKNB6YDA3N5d9+/bh4+MjlXKE+P/09fWVD8Y1a9ZEpVIxcOBAVq9eTa1atbh37x4ABQUFqFQqOnbsyIEDB3T6iY2NLVG1LiGEEOJpV2Xv3C9fvpwTJ07QqlUr0tLSCA4O1jreqVMnAEJDQ/n1119p2rQplpaWhIeHs2/fPpo1a6ZV/WfOnDkYGRnh6+tLzZo1uX79Onv27MHY2JjXX39dq28fHx8CAwNZtWoVd+/exdHRkf3795OQkMCYMWPKf/JCVHFFd/etrKxITU0lLy8PW1tb2rZty8SJE3n55Ze14m/cuEFGRkYljFQIIYSoWqpsch8VFQVASEgIISEhOseLkntbW1v09PTYsmULmZmZ1K5dmyFDhtC3b1+tB29bt27NwYMH2b59O2q1GisrK9q0acPAgQNxcnLS6X/cuHGsXr2a4OBg0tPTcXNzY8qUKfj7+5fTjIWofho0aMD8+fMxMTHB0dERU1NTfH19mTZtGkFBQaSkpPDnn38qyX9qaqrWsp/KdO/ePa3N8YQQQogngUrzmEWn4+LiePfdd9m+fXtZjanaUqvVDBgwAGdnZ61lPgC9evWiV69elTQyISpHREQEGzZsICwsjEGDBtGzZ08Ajh8/zr59+2jbti2LFi3Cy8uLLl26kJmZSf/+/St51IUmTpzIO++889CH8oUQQojHVZRDrl+//qFFWarsnfuqbMGCBVItRwgKd3WeNGkS165d07oL3qZNG3799VciIiKoVasWtWrVokePHowZM4bnnnuuXO+YHzhwAC8vr4c+bJ+SkkJcXJwk90IIIZ4oZfJArew4KYR4HG5ubtjY2Gi1eXl5sW/fPt5++22aN2+Ovr4+ffv2Zd++feU6lr///pvIyMiHxqWmphIXF1euYxFCCCFK67GTe2tra95+++2yGIsQQigaNWpEXl4eLVq0oFu3bgC0b9+eQ4cO6cRmZmYq+0w8rtu3b5OYmPjQuOzsbEnuhRBCPHEeO7k3NzenR48eZTEWIYRQNGrUiFatWmm1mZiY4OnpyYYNG7SS+T179jB79mytWI1Gw2effQYU7kHxxhtvcPr06Ydet7jkvqCggISEBK222rVrc+PGjVLNSQghhChvVbbOvRCierO2tmbixIk67e+++y4FBQWMGzdOWRJ4+fJl7t27x9q1a5XdbG/fvs2uXbtIT0/n7Nmz9O7dm23btj30ukZGRjrJfUREBF999ZXyOisrCysrK3Jych5jhkIIIUTZK7PkPiUlhdDQUJ2vxm/evMmcOXN49913mTp1KmFhYWV1SSHEU0hPT49XX30VLy8vbt++DRTuJD1r1ixSU1OVTbAiIyNxdXXl/PnzREREEBgYyN27d8nLy7tv3xkZGTg6OpKamqrVHhkZyZ07d5TX/y7JKQm+EEKIJ0mZJfebNm1i4sSJqNVqpU2tVvPJJ59w9OhRYmNj+eeff5g0aZJ8lS2EeGwNGzbkwoULZGVlYWBgQI0aNXjllVc4ceIEJ0+eJCwsjP79+3P27Fnu3LmDra0trVq14ttvv9VZYgNw/vx5fv31VxwcHIDCXbCLREZGKrvpwv8l9x06dGDPnj06fYWGhmp9GBBCCCEqSpkl96Ghobi4uGiVhdu3bx+pqak888wzLF26lJEjR5KTk8PWrVvL6rJV0rhx43jnnXe0fnbu3FnZwxKiSmnUqBHLli3jnXfeoW3btgDY2dlx48YNZs6cydq1a+nRowehoaHo6emhUqkYPHgwzZo14/PPP+f48eNKX7m5uXz33Xf88ccfODg4oNFoGDlyJOnp6QBcv34dOzs7JT41NRUrKyt69OjB3r17dcb2xx9/cP78+XJ+B4QQQghdZVbnPikpCV9fX622U6dOoa+vzxtvvIGVlRUvvPAC+/fvJzQ0tKwuWyVJnXshHp+rqyt9+/Zl4MCBWpvCDR48GH9/fzZu3IiVlRVTpkxRSluqVCratWtHixYtGD9+PCkpKfTs2ZPVq1fTt29fbG1tqVGjBqdOnSIqKoq4uDjc3d3Jy8vD3NycrKwsTExMlDv3xsbG2NracufOHaysrDA0NAQgJiYGFxeXSnlfhBBCPN3KLLnPzMzE2NhYeZ2fn09YWBienp5YWVkp7XXq1OHkyZNldVkhxFNKT0+PwYMH67R36NABgLfeegsABwcHZalNERMTExYvXsy3337LhAkT0Gg0DBs2DJVKBRRuouXr68u1a9eYP38+r7/+OidOnODOnTvUqVOH1NRU3NzcAGjRogWrV68mJiaGsWPHcv36dW7dulWicppCCCFEWSuzZTk2NjZaNZ8vXbpEVlYWDRs21IrLz8/HwEA2xhVCVC4DAwPee+89hg8fzsyZM5XEHqBfv360bt2aY8eO4e3tTbt27bC1teXy5cvExcWRmJiItbU1UJjc//rrryQnJ3P06FFWrVpFrVq1il3XX5yVK1dqre8XQgghHkeZJfdFd7m2b9/OtWvXWL16NSqVSqdOdWxsLLa2tmV1WSGEeGQqlQpvb2+txL6Iq6sr+/fvp3HjxgDY29uzaNEiFi1axKVLl/D29gYKvxmYN28enp6eHDlyhKysLBo0aKCs13+Y3377Te7yCyGEKDNllty//PLLGBgYsHz5ct5//30uX76Mv78/9evXV2Ju375NbGws9erVK6vLCiFEuahRowYmJiZKcm9nZ4ejoyM1atQgICBAa51/u3btqFevHvHx8fTt2xcvLy9Au+JOdnY2586d07pGXl4e8fHxUkFMCCFEmSmz9TF169Zl9uzZ/P7779y7dw9PT0/69eunFfPPP//g7u5OQEBAWV1WCCHKzZtvvqms12/YsCGffvopjo6OyoOz/+bj40P9+vV58cUXAdi9ezejRo1iwYIF7N27F2NjY9asWcOGDRuUc27cuIGtrS03btygWbNmFTMpIYQQ1VqZLn738vJi7Nix9z3eo0cPevToUZaXrJLGjRunddcPoFevXvTq1auSRiSEKM4rr7yi/LeZmRmenp73jW3YsCGOjo7KEh9zc3NCQ0O5dOkSP/zwA8bGxrRp04aoqCg8PDyAwhKbAQEBxMfHl+9EhBBCPDXkydZKIKUwhah+DAwMtKrydO3alZYtW7J3715efvllunXrxt27d9m7d69SyacouT969KhOf3fu3MHc3BxTU9MKm4MQQoiqr8zW3AshhPg/HTt2pHXr1gQHB+Pj44O7uzuNGzfm/PnzZGVlARAVFUWjRo24e/eucl5ERAQbN25kzZo1HD58uLKGL4QQooqS5F4IIcpJ0W63RZV1VCoVffr0YeLEicTHx3Pz5k0cHBwoKCjgzp07AERGRnL48GEuX75MTExMZQ5fCCFEFSTLcoQQopyoVCp69uyJk5OT0ta9e3e8vLyYOHEijRo1Agqfw5k8eTL16tXD0tKSyMhIHB0dJbkXQghRanLnXgghylFQUJBOHX0vLy/q169Pp06dAHBzc+O7774jJiaGW7du0axZM51a+du2bavIYQshhKiiHju5T0xMZOLEiWUxFiGEeGp88sknNG3aVKvNyMiIGzdu0K9fP9q3bw+ARqMhLy+PWbNmERoaWhlDFUIIUYU89rKc7Oxs+YVTSlIKUwhRHHd3d4KDg5Wa93/++SeDBw/mgw8+oGPHjsycOZPOnTvzxhtvcOvWLQwNDWXHbyGEEFpkzX0lkFKYQojieHh4cOHCBeX1W2+9xYEDB1i3bh1du3albdu2TJ48GY1Gw7Zt27C0tGTw4MEAbNmyRWfjQCGEEE+fKpvcR0REsH//fs6fP09CQgKWlpb4+PgwdOhQnJ2dtWIjIyP55ZdfuHz5MlC4k+Tw4cOVjWSK5ObmsmbNGoKDg0lPT8fNzY0hQ4bofHVe2lghhCgJb29v6tSpo7y2tbWlffv2zJo1i7fffpuaNWvi5eVFZGQk4eHhWFhYAJCens6cOXPo3r273DgQQoinXJV9oHbz5s0cO3aMxo0bM2rUKLp3787Fixf54IMPtCpMREZG8sknn3Dr1i0GDhzIq6++yo0bN/j000+Ji4vT6nPRokVs27aNDh06MGrUKPT09Jg2bRoXL17UuX5pYoUQoiQ8PDz4+OOPtdpq1aqFr68vbm5uAAQEBHDw4EEKCgq4d+8ekZGRHDlyBGtra65du1bxgxZCCPFEqbLJfd++ffnpp5/43//+x3PPPceAAQOYPXs2+fn5bNq0SYlbs2YNRkZGzJ07lxdffJF+/foxd+5cNBoNq1atUuIiIiI4dOgQr732GiNGjKB79+588cUX1KpVi5UrV2pduzSxQghRGgYGul+oLl++HCMjIwBatGjB2bNncXV1xdTUlM8//5w5c+bw8ssvEx0dXdHDFUII8YSpssl9/fr1MTQ01GpzcnLC1dWV2NhYpe3ixYs0btyYGjVqKG02Njb4+flx8uRJMjMzATh69Ch6enp0795diTMyMqJr166EhYWRmJiotJcmVgghHte//63T19dn2rRpDBgwgA4dOvD+++/z66+/8swzz3Dt2jVycnKU2OTkZN577z2ioqIqY9hCCCEqQZVdc18cjUZDamoqrq6uSltubi7GxsY6scbGxuTl5RETE4Ovry9RUVE4OzvrrFetV68eANHR0djb2wOUKlYIIcpaUYWcf6/Pt7KyYteuXVy8eJGZM2dy7Ngxdu/eja+vL2FhYTrPGBUnPT1dWccvhBCiaiqTO/cajaYsunlsBw4cICkpSakPDYW//MLDw8nPz1facnNziYiIACApKQkovMNlbW2t02dRW1FcaWOLo1arS/STm5tb0qkLIZ5yxsbGjBgxAgMDA86cOUNwcDCDBg2iS5cuJV6L/84772jd+RdCCFH1PPade2tra95+++2yGMtjiY2NZenSpfj6+tK5c2elvWfPnnz77bd89dVXvPTSS2g0GtavX09KSgqA8ossJydHZ5kPoKxz/fcvvNLEFmf48OElmtPAgQMZNGhQiWKFEOKll14iJCSE8PBwBg8eTJMmTcjKytIqMvAgMTExREVF4evrq9V+/vx5XF1dqVmzZjmMWgghRFl67OTe3NycHj16lMVYHllKSgrTp0/HzMyMoKAg9PX1lWM9evQgMTGRrVu3sn//fqBw6/d+/fqxYcMGTExMgMLEvLg75UWJelHiXtrY4qxYsaJE5eqK+wAhhBAPUqdOHQ4fPszAgQMBMDExITs7WysmNzcXtVqNlZWV0paWloZKpSIsLEwnud+wYQMtWrSgb9++5T5+IYQQj6fKr7nPyMhg6tSpZGRkMGvWrGJ3a3zttdfo168fMTExmJub4+bmplTKKaqJb2NjU+xymqI7/P/utzSxxTEzM5Na1EKIcuHi4sLvv/+ulbjr6+tz8+ZN1Go1KpWKL774Ajc3NyZPnqzE3Lhxg/bt2xMeHq6z9v727ducOnWKZs2aaT3TJIQQ4slT5tVy7t27x2+//ca8efOYMmUKmzdvVo7FxMRw4sQJsrKyyuRaOTk5zJgxg/j4eKZMmfLAXzoWFhb4+fkptaLPnj2LnZ2d8kCau7s78fHxqNVqrfPCw8OV40VKEyuEEBXJxcVF+XeuyPDhw1m2bBkbN27kyy+/ZM6cOdy5c0f5Abh58ybNmjXj8OHDvPnmm8pzShkZGdjZ2ZGYmMjAgQNJT09X+r137x7Tp0/nyJEjFTY/IYQQD1amyf2RI0cYNWoUP/30E4cOHeLcuXNaG0UlJSUxc+ZMjh8//tjXys/PZ86cOYSFhREUFKTzNfKDHD58mCtXrtCnTx/09ArfgsDAQAoKCti9e7cSl5uby759+/Dx8dGqflOaWCGEqEienp507NhRq83f35/PPvuMoKAgfvjhB+Xbxe3bt7N582auXbtGdHQ0Tk5O/Prrr/To0UNJ2CMiIqhXrx79+/enW7du3Lhxg1OnTgFw/PhxXF1d2blzp844cnJyJOkXQohKUGbLcsLCwpg3bx5mZmaMGDGCBg0aMH78eK2Yxo0bY2ZmxvHjx+nUqdNjXW/58uWcOHGCVq1akZaWRnBwsNbxov5DQ0P59ddfadq0KZaWloSHh7Nv3z6aNWtGnz59lHgfHx8CAwNZtWoVd+/exdHRkf3795OQkMCYMWO0+i5NrBBCVKSaNWuW6EF8S0tLTp48ibGxMWfOnOHSpUusWbMGCwsL+vTpw/Tp0+nQoQOhoaH4+fkp/9ZGRUWxaNEidu/eTUREBN27d+fChQtkZmZiamqq9H/9+nVWrVpFu3btynO6Qggh/qPMkvsNGzagUqmYPn06Xl5excbo6+vj6elZ4soND1K0KUtISAghISE6x4uSe1tbW/T09NiyZQuZmZnUrl2bIUOG0LdvX60HbwHGjRvH6tWrCQ4OJj09HTc3N6ZMmYK/v79O/6WJFUKIJ03dunWJiYnBzMwMFxcX2rRpg4ODA1BYM9/GxoZr165x9uxZ+vfvDxRuFLhjxw5lOU90dDRubm4EBARw4sQJrW8MYmNjy+TfeiGEEKVTpnfufX1975vYF7G2tlZqzD+OL7/8skRxjo6OTJ8+vUSxRkZGjBgxghEjRpRp7H+NGzdOWQ5UpFevXvTq1avUfQkhxKOoW7cu/v7+NG3aFBcXF+rXr691fMCAAXz//fdoNBqlqpizszNHjx6ladOmXLlyhfz8fAwNDWnbti0///wzkZGRDBo0CDMzM65fv46+vr5sjCWEEBWszJL77OxsreoM9/Pvh7GeVgsWLJBqOUKIStWmTRt8fX3vW4jAy8sLLy8vJbEHcHBwID09ne7du7Nnzx5l7b6zszPR0dHs3LmTgIAA/P39iYuLIzAwkJiYGPz8/LT6zsvLw8CgyhdrE0KIJ1KZ/etqa2vL9evXHxij0WiIiYmhdu3aZXVZIYQQj8DS0hJLS8sHxowcOVJrB3IDAwNcXFzo0qULa9asYenSpcqxtm3b0qRJE65evYqxsTF37tzhueee4/r161rJfV5eHq+99hr169fXKsUphBCibJRZtZxmzZoRHx/PoUOH7huzd+9e7ty5Q4sWLcrqskIIIcqRSqXSer1o0SJq1qzJ5s2bqVWrltI+fPhwevbsSWhoKO+++y5JSUm4u7tz+fJlrfODg4Pp27cvGo2G+Pj4CplDTk6OzjiEEKK6KrPk/uWXX8bMzIyFCxeycuVKwsLCAMjKyuLq1ausXr2a77//HisrK1544YWyuqwQQogK5OLiAugm/UXH/vzzT9566y2mT59OvXr1iI+PJy4ujhUrVrBnzx62bNlCz5496datG3/++SdZWVncvHmzRNdOS0sjLy+v1GOOjY1l7dq1pT5PCCGqojJL7u3s7Pjss8+oUaMGW7Zs4ZNPPkGlUnHs2DHGjRvHhg0bMDc3Z9KkSdSsWbOsLiuEEOIJYWBggKOjI8888wxubm6oVCrGjRvHzJkzOXPmDBs2bODll1/GwsKCFi1acOrUKfbs2cOKFSuUPi5dusTYsWOL3ezwm2++4ffffy/1uO7du8ft27cfa25CCFFVlOkTTb6+vnz33Xf8+eefnD17ltu3b6PRaLCzs6NJkyZ0794dc3PzsrykEEKIJ8i3336LtbW18trZ2ZnXX38dCwsLGjRooNzxL1q/v3HjRuWGz8mTJ/n1119p3LgxBw4coHv37ko/Go2Ga9eukZCQwIsvvliqMd27d4/ExMTHn5wQQlQBZV6uwMzMjBdeeEGW3jyAlMIUQlRX/07si7Ru3brY2G7duhEXF4eBgQH5+fls2LCB6dOno9FomDJlilZyHxYWRqNGjbh58ybJycnY2NiUeExpaWkkJCSg0WiKXU4khBDVidQiqwRSClMIIaBJkybMmjWLH374gStXrpCXl6d8u2tra8uVK1fw9vYG4MSJE7Ru3Zro6GguXbpU7M6358+fx9jYGB8fH632u3fvUrNmTeV/hRCiOnvkNfdpaWnFroksjaysLNLS0h6rDyGEEFWTSqXC3Nyc+vXrs3DhQpo3b64ce/3115k+fTo///wzULgW38/Pj3r16ikFG/5r48aNWuU5i6SlpeHp6cmpU6e4du1aucxFCCGeFI+c3A8ZMoRly5Y91sWXLl3KkCFDHqsPIYQQVVvXrl158803tZYm1qlThyVLlnDr1i1OnTpFVlYWpqameHt7ExkZqXV+Xl4et27d4u7du9SpU0dnF/R79+7h5eXFwoUL2blzZ4XMSQghKssjJ/cajUZrcxMhhBDiUejp6dG8eXOd9fo1atTg3Xff5fvvv8fZ2RkofK5LrVZz69YtJe7UqVOMHDmSZs2a0ahRo/sm97Vq1eLq1avlPyEhhKhEj7Xm/tKlSyxevPixzhdCCCHux8LCglmzZqFWq5W2Zs2aERQUxKRJk/Dy8iI0NJQvv/yShg0bcvXqVf744w+tPjIyMggICKBOnTosX76cgoICnaIGQghRXTxWcn/z5s0Sbz5yP1K5QAghxIPY2tpia2urvB42bBjdunUjKChI2R19yJAhqFQqXF1duX79uk4Cb2Njg42NDS4uLly/fh03N7dKmIkQQpS/R07uv/jii7Icx1NFSmEKIcTjcXJyYsGCBaxcuZKkpCRMTEwAMDIyIisrizfffBNTU1NUKhX6+vrKee3atWPv3r28+eablTV0IYQoV4+c3Dds2LAsx/FUkVKYQgjx+Ozs7Bg2bBhHjhzRajcyMqJz5868+OKLzJ8/X2sJaKtWrfj555/JzMzE1NS0oocshBDlThYdCiGEqLLs7Ozo27evVtvYsWPp3bs3AF26dNHaGV2lUjFixAimTp1KeHj4Y1172bJlpKamPlYfQghR1iS5F0IIUa3UqVMHA4PCL6YbNWrE6NGjtY63aNGCgQMHMm/ePFJSUh7pGjdu3GDjxo2cPHnysccrhBBlSZJ7IYQQ1Zaenh716tXTaW/SpAl9+/bl2LFjj9Tv8uXLmThxIiEhIY87RCGEKFOS3AshhHgqBQYGcuzYMXJycvj7778pKCjg0qVLHD9+nJycHEJDQykoKAAKd7n97bffgMK6+iYmJnTs2JEbN24oMQApKSmMHz+eAwcOVMaUhBDi8UphCiGEEFVVzZo1SUtL4+LFi6xcuZLMzEz27t2LiYkJGRkZ/Pjjj3z00Uf89ddf2Nracvr0aQwNDbl48SL9+/cHoHPnzqxdu1bZbf3bb7+lTZs2XL58mY4dOwIQGRmJl5dXZU1TCPGUkTv3Qgghnlre3t5s2bKF+Ph4rl69yqBBgxg6dCh///03enp6zJgxg9u3b7Nz507mzZvHvn37uH79Oq6urgD069ePc+fOERkZSUJCAmq1ml69ehETEwMU7uY+evRooqOjdR6+/eKLLwgLC6voKQshqjm5c18JpM69EEI8GZo3b8748eNp3bo1ly9fZsCAAZibm3Ps2DEGDBhAdHQ0QUFB5OfnY2ZmRkFBAQYGBsoGjCqVik8++YQvv/ySvn370rRpU0xNTcnKygIKH7ytXbs2U6ZMISsri40bNwJw4sQJwsPDOXfuHL6+vpU2fyFE9VNmyf3NmzdxdHQsUezff/9NQEDAY10vIiKC/fv3c/78eRISErC0tMTHx4ehQ4fi7OysFXvjxg1Wr17NpUuXSEtLw97eng4dOvDiiy8qG58AXLhwgQkTJhR7vblz52r9A5ybm8uaNWsIDg4mPT0dNzc3hgwZQtOmTR86dqlzL4QQT4bGjRvj7++Pj48Pe/bswdLSEgAvLy/8/f15/fXXdeKLEvcidnZ2FBQUEBkZSePGjYHCpD8/P5/z588zYMAAkpKSiI6OJj4+HmdnZ7Zs2cLUqVP55ZdfKmaiQoinRpkl9++//z5vvvkmzz777H1jsrOzWbZsGfv27WP79u2Pdb3Nmzdz+fJlAgMDcXNzIzU1lR07dvDBBx8wb9486tatC0BiYiLjxo3D3NycXr16YWlpSVhYGGvXruXq1atMmjRJp+/evXvj7e2t1fbfDy6LFi3i6NGj9OnTBycnJ/766y+mTZvGF198gZ+f32PNTQghRMUwNzdn6dKl7N69GwcHB6X9/fffV5be/NuLL75Ibm6uTrurqysHDx7kxRdfBMDBwYHXXnuNpKQkfvrpJ5ydnTlw4ADHjh2jc+fO6Onp4eHhQXJycvlNTgjxVCqz5F6j0fD1119z8uRJRo8erdz9KBIREcGCBQu4ceMGTk5Oj329vn378uGHH2JoaKi0tW/fntGjR7Np0ybGjx8PQHBwMBkZGcyePVtJ+Lt3745Go2H//v2kp6djYWGh1befnx+BgYH3vXZERASHDh1i+PDh9OvXDyh8qGr06NGsXLmSuXPnPvb8hBBCVAx9fX3c3d3x8PBQ2jw9PYuNtbKyKrbd19eXXbt2UbNmTQCee+45+vbti7W1NbVq1QIKd8f97LPP0NfXp0uXLkDhbrr/3i03Pj6eCRMmMHDgQDp16oSxsXFZTVMI8ZQoswdqFy1ahIeHB8ePH2fMmDGcPXsWKEz6169fzyeffMKNGzfo1q0bixYteuzr1a9fXyuxB3BycsLV1ZXY2FilTa1WAyj/4BaxtrZGT09P2ejkv9RqNfn5+cUeO3r0KHp6enTv3l1pMzIyomvXroSFhZGYmPgoUxJCCFFJGjRowAcffPDI59evXx93d3fldZMmTfDx8VESewAzMzPy8/M5fPgwrVu3Bgqft/r555+Bwm+kz507R58+fbhz5w7ff/+9cm5eXh7Lly9/5PEJIZ4eZZbcOzs7M2/ePF5++WWSk5P57LPPWLp0KZ988glr1qzBwsKCSZMmMXr0aK117mVJo9GQmppKjRo1lLaGDRsC8PXXXxMVFUViYiKHDx/mjz/+4Pnnny92LIsXL2bAgAH069ePCRMmcOXKFa3jUVFRODs766ybL9ooJTo6uqynJoQQopwZGRk98rmurq589NFHD41r3rw5aWlpyrfbHTt25NKlS9y6dYs5c+Zw4sQJWrVqxeDBg4mMjEStVnP79m0WLVrE+vXrycvLe+QxCiGeDmVaLUdfX5/XXnuN5s2bM2PGDP744w+g8A7GuHHjdO6el7UDBw6QlJTE4MGDlbbmzZszZMgQNmzYwIkTJ5T2V155haFDh2qdb2BgQNu2bWnRogU1atTg+vXrbN26laCgIObMmaN8TZucnIy1tbXO9YvakpKSHjjOom8THsbQ0FDn2wkhhBBPHj09PZ1ntYrTpUsXnaWpTZo0YceOHbi6unL8+HGmTp2KSqXimWeeISQkhJ07d9KtWzf09fWJjIwkNjaWrl27ltdUhBBVXJmXwszIyGDXrl1aCWxMTAzR0dElqiTzqGJjY1m6dCm+vr507txZ61itWrXw9/enbdu2WFpacurUKTZu3Ii1tTXPP/+8Ele/fn3q16+vvG7dujWBgYG89957rFq1imnTpgGQk5NTbNJddNcnJyfngWMdPnx4ieY0cOBABg0aVKJYIYQQTz4HBwetB3eh8DmvL774gjfffJNjx44pZTbd3d25ePEieXl5dO3aFbVazcaNG7ly5Yok90KI+yrT5P7ChQssXLiQO3fu4O7uztixYzl06JBS8uv5559n2LBhZX43OiUlhenTp2NmZkZQUBD6+vrKsUOHDvHNN9/w/fffY2dnB0Dbtm0pKChg5cqVPPPMM1rLeP7LycmJgIAAjh07Rn5+Pvr6+hgZGRVbLaEoqX/YV7srVqwoUSlMuWsvhBDVX4MGDbhx4wYBAQFa+524urqyY8cOZV8UT09PZs+ejZOTE3l5ecozY3fv3qVGjRrKhwIhxNOtzNbcr1y5ksmTJ5OUlES/fv2YP38+bm5uvPbaa3zxxRfY2dmxY8cOxo0bx7Vr18rqsmRkZDB16lQyMjKYNm0atra2Wsd37dqFp6enktgXad26NdnZ2URFRT30GnZ2duTl5ZGdnQ2AjY0NKSkpOnFFbf8dw3+ZmZmV6EeSeyGEqP4sLS3p2rUrdnZ2Wgm6nZ0dFy5cUJbxuLu7Y21tTceOHYmKiuLo0aN8//33DBo0iEuXLgGFe7B88MEHxMXFER8fXynzEUJUrjJL7rds2YK1tTWff/45w4YN06pC4+fnx9dff02HDh2IiYlRylQ+rpycHGbMmEF8fDxTpkwptiZxamoqBQUFOu1FDyXdryLOv926dQsjIyPl4Vt3d3fi4+N11s6Hh4crx4UQQoiS+vLLL3XaVCoVxsbGuLi4AIU1+ZcsWYKvry9hYWFs3rwZFxcXhg8fzrlz54DCDSXT0tKYPn06v/76a4XOQQjxZCiz5L5du3Z8/fXXSnWa/zIzM2PcuHF8/PHHZVK3Nz8/nzlz5hAWFkZQUNB9t+92cnLi6tWrOncwDh06hJ6eHm5ubkrb3bt3dc6Pjo4mJCSEpk2bKl+NBgYGUlBQwO7du5W43Nxc9u3bh4+PD/b29o89PyGEEMLV1VXrxpWbmxtNmjTh999/x9LSkp49e9K9e3cuXLgAQFxcHN26dWPJkiXcvHlTq6+dO3ei0Wi02u7evUtqamq5z0MIUXHKbM39xx9/XKK4du3aaT20+qiWL1+ulAxLS0sjODhY63inTp0A6NevH6dPnyYoKEjZofbkyZOcPn2abt26aS2hmTNnDkZGRvj6+lKzZk2uX7/Onj17MDY21tqC3MfHh8DAQFatWsXdu3dxdHRk//79JCQkMGbMmMeemxBCCAHQp08fnd+ZdnZ2zJo1S3n2y8LCgnv37rF7927u3btHnTp1MDQ01CqbqdFoWLRoEY0bN6ZOnTpK++7duwkPD2fKlCkVMyEhRLkr82o5JfGwNeklUbRWPiQkhJCQEJ3jRcm9v78/c+fOZe3atezatYu0tDRq167N0KFDeemll7TOad26NQcPHmT79u2o1WqsrKxo06YNAwcO1CldNm7cOFavXk1wcDDp6em4ubkxZcoU/P39H3tuQgghBECbNm2Kbf/v79ExY8bw7bffYm5urmyQpVKp0Gg0qFQq4uPj0Wg0XLx4USu5j4uL4+rVq9y6dUunio8QompSaf77HZ0oN2q1mgEDBuDs7Kws8SnSq1cvrSoJQgghRGns2bOH6dOnc+DAAQwNDfn888/p1asXrq6uhISEEBUVRU5ODmPHjlXO+fDDD2nTpg01a9akS5culTh6IcSDFOWQ69evf2jFxTK7cx8aGlqq+Kf5DveCBQtKVApTCCGEKKmAgADs7OyUSmvOzs589tlntGrViuzsbN544w2++OIL4uLilLv3eXl51K1bV6m2I4So+sosuZ8wYUKpauxu3769rC4thBBCPPWsrKxYvHix8trd3Z2ePXsSHx9PnTp1qFu3LoMHD2batGksW7YMKFy6U6dOHfbt21dZwxZClLEyS+47depUbHKv0Wi4c+cOV69eRa1W07p1a8zNzcvqskIIIYT4//5dAa5Dhw506NABQPn93KFDB06dOkV0dDSWlpbY2dlhb29PQkKC1sZYQoiqq8z+Fv97DV9x0tPT+frrr4mJiWHevHlldVkhhBBCFON+36a3bduWY8eO4evrS506ddDX10ej0fC///2PGTNmKAUksrOzy6R0tRCiYpVZnfuHsbCwYOzYsajVan7++eeKuqwQQggh/qVZs2acPHmSEydO0LJlS6Bw75jExESOHTsGQGRkJKNGjdKpiy+EePJVWHIPYGJiQr169YotXSmEEEKI8mdsbIy9vT3Hjx9XNoCsU6cOH3/8McePHyc9PZ0jR45gamqq/L7Oy8tj06ZNqNVqrfr5QognT4UvrsvMzCQ9Pb2iLyuEEEKI/693797o6+srZZnHjRuHgYEB4eHhvP/+++Tk5LBw4UK++OILWrduzU8//URERAT6+vps3LiRtWvXVvIMhBD3U6HJfUhICBcvXsTFxaUiL/vEGTdunNS5F0IIUWkaN25Mo0aNlNdFD9KOHDmSl19+mb1792JnZ4erqysXLlwgIiKCiRMn8uqrr5KRkUF+fj76+voPvU56ejoJCQl4eHg8NLZowy0hxOMps+T+3+W3/iszM5MbN24QExODRqPhxRdfLKvLVklS514IIURlu18ibWVlRf/+/QHo06cPv/32G3l5edjY2DB48GDCw8NJTU3V2iU3PT0dExMTrWo7Go2GmTNnYm5uzsSJEx86nvXr11OrVi06d+78mDMT4ulWZsn9X3/99dAYe3t7Bg4cKH9xhRBCiCrAw8OD0NBQatWqBcDrr7/OkiVLSElJ0Uruf/jhBxo0aMBzzz2ntG3btg0vLy8uXLhQomudPXsWAwMDyRGEeExlltx/8cUX9z1maGiItbU1tWvXLqvLCSGEEKKcqVQq7O3t8fT0VNpsbGxISkrCy8tLaTtz5gz6+vpKcp+fn8/u3bv57rvvGD9+PGfOnMHQ0BB/f3/S09OZOHEivXv35tlnn1X6UKvVqFQqcnJyMDIy0hpHamoqqampWnX8hRDFK7PkvmHDhmXVlRBCCCGeEM8++6zWXXobGxuSk5OBwio68fHxODs7Ex0drcTcvn0bDw8P5fmy/fv3k5+fj7+/P9988w1Dhw5l5cqVdOnShaSkJABsbW3x8fHhyJEjOnfvd+/eTVJSEu+++255T1eIKq9CS2EKIYQQomp59tlnadq0qfLa1tZWScgPHz7Mhx9+SOfOncnPz2f69OncuXOH2NhYpXiGnZ0d//zzD9evXwfg5s2btGjRAgsLC86dO8f8+fO5dOkSfn5+9OrVix07duiMISQkhNu3b1fAbIWo+h75zv0bb7zxyBdVqVT88MMPj3y+EEIIISqHtbU1iYmJHDhwgH/++Ye5c+fi5ubGmTNnSE5OZteuXZiZmeHq6gqAk5MTMTExODo6cu3aNWXXW1dXV/78809iY2OJjo6mYcOGWFpaYm5uTnJyMpaWlhgaGpKbm4tGoyEtLa0ypy1ElfHIyX1CQkJZjuOpIqUwhRBCVFW2trbs3buXHTt24OnpSd26dQEYP348AO+99x6enp60aNECAEdHR3x9fWnevDkrV65UymK6ubmxePFiatSowbVr1+jduzdQmPTfvHmTMWPG8NNPPzF//nx69erFzp07dcai0Wg4ePAgHTt2rICZC1E1PHJy/9tvv5XlOJ4qUgpTCCFEVVWjRg1SU1P54IMPOHXqlFJSs6jufUBAAL/88gtjxoxRXvv5+VGrVi2mTp2qlMV0c3MjKyuLtm3bcvXqVaytrQFwcHAgLi6OyMhIvvnmG6ysrHj22WfZuXOnTi38+Ph4li9fLsm9EP8ia+6FEEIIUWJ6enoEBQXRv3//YuvX9+/fH39/fwwNDQGoWbMmLi4uGBsb06lTJ3x9fQGoW7cuDRo0wNXVFQMDAyVpr127NufOnSMwMJBt27YxePBgpZ/U1FSta12+fJnExMRix/nTTz+Rl5en037q1Cni4uIeef5CPOkkuRdCCCFEqbzwwgvo6elRs2ZNnWOmpqYsXLiw2PMmT55MnTp1ADA3N2fx4sW4uLgoS3ug8M79P//8Q/PmzVmxYoVyDQcHB7Zt28bff/+txF6+fBkjIyOdJD4vL49Vq1YVm8Tv2rWLU6dOlXbKQlQZj5zcT5w4kc2bNxd7LCEhQR58EUIIIYSW/+6Ka2RkRKNGjejatavSVqtWLa5evYqzs7NWLX1HR0fOnj3Lxo0biYqKAiA6OprmzZuTkpKi1W9YWBiWlpZK3L9FREQolXuEqI4eObm/cOHCfb/WGjVqFCtWrHjkQQkhhBDi6VCrVi3atm2rvDYxMcHa2hpnZ2etuB49ejB//nx69OhBaGgoGzduxMHBAUdHR52lOadOneLll1/m4sWLjB07VmnPysrC3t6e2NjY8p2UEJWoXJblaDQaNBpNeXQthBBCiGrOwcEBJycnrTZDQ0MMDAzw9fXlwoULHD58mI8//hh7e3ud5P7ixYv06dOHLVu2cPr0abKysoDCO/r+/v7k5uZW2FyEqGhltkOtKDkphSmEEELc36RJk+5bVc7Z2ZmjR48yaNAgVCoVdnZ23Lp1Cyhca6+vr092djY2NjbY2trSrl07IiIiaNiwoVLFJzQ0lPz8fKXCjxDViST3lUBKYQohhBD3V69evfseU6lUeHp60qFDBwDs7e1ZvHgxe/fuRaVS4e3trTy0+/PPP3Pu3DkuXbpEeHg4LVu2pG7dujg5OREXF6f1IG+RDRs24OrqSkBAQPlMTohyVmWT+4iICPbv38/58+dJSEjA0tISHx8fhg4dqrNO78aNG6xevZpLly6RlpaGvb09HTp04MUXX8TExEQrNjc3lzVr1hAcHEx6ejpubm4MGTJEa+vt0sQJIYQQomzNnz8fIyMjoHAH3MaNGzNhwgQ0Gg2vvPIKo0aNAgor8tSvX59Fixbh6urKnDlzAHjmmWf466+/GDFihFa/t2/fZv369fTo0UNJ7jUaDYsXL2bw4MHY29tX4CyFeDRVthTm5s2bOXbsGI0bN2bUqFF0796dixcv8sEHHxATE6PEJSYmMm7cOMLDw+nVqxejRo3C19eXtWvXMm/ePJ1+Fy1axLZt2+jQoQOjRo1CT0+PadOmcfHixUeKE0IIIUTZKkrsASwtLZk0aRJ6enro6+szZcoU2rRpoxy3trZm1apVzJ07V1kS26JFC06dOoVGo2HOnDnk5uaSmZnJtGnTmDZtmlYeERcXR0xMDFOmTNEquRkSEsKdO3fkGUPxxFFpHvFPZZ8+fXRKWpXG9u3bH/lcKKxt6+XlpWySAYV36EePHk1gYKCyDfaGDRv45Zdf+Oabb7S+flu4cCH79+9n3bp1WFhYAIXfBowfP57hw4fTr18/AHJychg9ejRWVlbMnTu3VHH/pVarGTBgAOvXr5dlOUIIIUQlWrZsGfr6+uzbt48ePXpgYWGBiYkJPXv2ZOzYsUqt/k2bNmFnZ0dKSgoqlYq+ffsChc/P2dracu7cOVatWqWzEkCIslSaHPKx7twXVcV5lJ/HVb9+fa3EHgq/mnN1ddUqcaVWqwF0NtqwtrZGT08PA4P/W5l09OhR9PT06N69u9JmZGRE165dCQsLU57GL2mcEEIIIZ5M/fv3Z+XKlcyYMYMLFy6wfft2unTpohwvylVCQkJo3rw5vXv35uDBgwAUFBSQn5/PrVu3sLOzIywsrFLmIERxHnnN/W+//VaW4ygTGo2G1NRUXF1dlbaGDRuyefNmvv76awYNGoSlpSVhYWH88ccfPP/881qftKOionB2dtb5RFT0YE90dDT29vYljhNCCCHEk8na2pqlS5fi5eXFxIkTCQkJwdjYGABbW1vOnj3LxYsXqV27NpaWlgDo6+uTlZVFXFwcHh4ejBkzhhMnThAaGkqTJk0qcTZC/J8q+0BtcQ4cOEBSUhKDBw9W2po3b86QIUPYsGEDJ06cUNpfeeUVhg4dqnV+cnIy1tbWOv0WtSUlJZUq7n6Kvk14GENDQ51vJ4QQQghRNvz8/IDCb/e7deumtHfq1Ing4GA8PT0ZOHCg0t64cWPOnTvH33//TatWrVCpVPj5+Wnd8Lx06RJqtZoWLVpU3ESE+Jdqk9zHxsaydOlSfH196dy5s9axWrVq4e/vT9u2bbG0tOTUqVNs3LgRa2trnn/+eSUuJyen2GS66MGdnJycUsXdz/Dhw0s0p4EDBzJo0KASxQohhBCibAQGBhIYGKjT3qFDB2bPnk2jRo2Uh3YtLS1JS0tDo9EQFhbG0qVLyc3NpWnTplp19DUaDUePHqVdu3ZafWo0msd6hlGI/6oWyX1KSgrTp0/HzMyMoKAgrb9Mhw4d4ptvvuH777/Hzs4OgLZt21JQUMDKlSt55plnqFGjBlCYnBe3a11Rsl6UvJc07n5WrFhRogdq5a69EEII8eRwdXVlyZIlOu1ubm5cunSJr7/+mtmzZ7Nz504OHDigtYY/OTmZJUuW6CT3kydPxs3NjTfeeKPcxy+eDlW2FGaRjIwMpk6dSkZGBtOmTcPW1lbr+K5du/D09FQS+yKtW7cmOzubqKgopc3GxoaUlBSdaxS1FfVd0rj7MTMzK9GPJPdCCCHEk699+/ZMnjyZl156CSsrK3r06MH+/fu1YmJiYoiPj9cqKpKXl8e9e/eUpTwAWVlZnDlzpkLHL6qXKp3c5+TkMGPGDOLj45kyZYrWg7RFUlNTKSgo0GkvqlWbn5+vtLm7uxMfH6+zJj48PFw5Xpo4IYQQQlR/TZs2xdvbW7lTb21tjVqtJisrS4mJiYnB0NCQ1NRUpe3y5cv4+fnh6elJfHw8AGfPnuWTTz4hLS2tQucgqo8qm9zn5+czZ84cwsLCCAoKwtfXt9g4Jycnrl69qvylKXLo0CH09PRwc3NT2gIDAykoKGD37t1KW25uLvv27cPHx0epgFPSOCGEEEJUf4aGhsyePVvZJAsKE/4LFy4AsGbNGqKiomjTpo2Sj/z+++9MmzaN9u3b4+zsrLSHhobSr18/Nm7cqHOdXbt2VcBsRFVXZdfcL1++nBMnTtCqVSvS0tIIDg7WOt6pUycA+vXrx+nTpwkKCqJXr15YWlpy8uRJTp8+Tbdu3bSW0Pj4+BAYGMiqVau4e/cujo6O7N+/n4SEBMaMGVPqOCGEEEI8nZycnLh16xYAP//8M/n5+XzwwQfExcXh7+/P9evX+fLLL/H29katViu18sPDw5k6dSoTJkzQ6i83N5eZM2fSpUsXpWSnEMWpssl90Vr5kJAQQkJCdI4XJff+/v7MnTuXtWvXsmvXLtLS0qhduzZDhw7lpZde0jlv3LhxrF69muDgYNLT03Fzc2PKlCn4+/s/UpwQQgghnj61a9fmxIkTpKam0qhRI+7du4ebmxvHjh0jKyuLW7duUbt2bQCcnZ3566+/0Gg0ZGdnY25ujomJCenp6VhYWABw7do1NBoNkZGRSgnPI0eOYGpqSvPmzSttnuLJU2WT+y+//LLEsfXq1WPq1KklijUyMmLEiBGMGDGiTOKKM27cOK2v7gB69epFr169St2XEEIIIZ48tWvX5vbt21y7do0GDRowfPhw0tLSWLBgAenp6aSnpyubY9WqVYvbt28THx+Ps7MzAC1btuTUqVN07NgRgCtXrtCpUydlnT7AsWPHsLS0pGnTpjp5hXh6VdnkvipbsGBBiUphCiGEEKJqsrW1JSkpiWvXruHu7o5KpaJGjRr8+OOPfPjhhwBKfXt9fX3y8vIIDQ1VVgA0adKEnTt30rFjR06dOsWZM2fo3bs3f/75p3KNuLg4jI2NmTZtGm+//TYODg4VP1HxxJGPeUIIIYQQZUxfXx+NRsO1a9e0info6+trVeorUrduXbZu3aok9+7u7kRHRwOwbNkyTp48SfPmzbl58yYajYaCggL09PTIzMzk4MGDyvp+ISS5F0IIIYQoB0Vr5F1cXLTabWxsqFmzplbb888/z5UrV5Sy3vr6+qhUKuLj46lTpw5bt27FwMAADw8PoqOjiY2NxcXFBSsrK2xsbLhz505FTUs84WRZjhBCCCFEOTA1NcXZ2RkDA+10y9PTk4yMDK02Hx8fPv/8c2WpDoC3tzeLFi2ia9euSnuHDh0IDg7GxcUFHx8fatSoQdOmTSW5Fwq5cy+EEEIIUQ6ee+45Xn31VZ32Vq1a0axZM532tm3bar1+/fXX6dChA4GBgUpbkyZNCA0NJTw8HB8fH5555hmaNGlCUlISP/zwA/n5+URERLBixQqd/vfu3au1Q66onuTOvRBCCCFEOSiqdPNfPj4+JTrf3Nyc559/XqvNwMAAlUrFlStXePvttwGws7MjISGB/fv34+7uzqZNmzAwMKB3797Y2dkBEBERwbRp0/Dy8sLDw0Orz7t372Jubq7zDYOomuT/xUogpTCFEEII8ajq16/P4cOHlWTcysqK0NBQ2rVrx4wZM1i8eDEAK1as4KOPPlL+e+zYsYSEhOgk9z///DPNmjWjXbt2FTsRUS4kua8EUgpTCCGEEI+qSZMmJCQkKK9VKhVZWVm0bduW9957DycnJwB27tzJhQsXcHR0BKB79+7MmDFDZ6lQdHS0co6o+iS5F0IIIYSoQlq0aKFsZFXEzs4Ob29vrST9tddeY+3atTg4ONCrVy8sLCzIyckhIyMDc3NzJS4+Pp6bN29W2PhF+ZIHaoUQQgghqhCVSqWzAqBDhw64u7trtbm4uBAbG8uJEydo06YNAM8++6zWRlhZWVk4ODjoJPd5eXlcu3atfCYgypUk90IIIYQQVdyIESMwNjbWaXdxccHf3x99fX0AunTpwr59+5SqOdeuXaNBgwZkZmZqnbd9+3YmT56s09/27dsJCwsrhxmIsiLJvRBCCCFENfX6668zePBg5bWJiQn+/v6cPHkSgAsXLuDt7a11Tl5eHn/++Se+vr46d+///PNP5s6dKyU1n2CS3AshhBBCVFMODg5YWVlptb366qts3boVjUZDcHAw7du3x8DAgNzcXADOnz9PixYteO6559i/f79ynkajwdDQkHr16hEfH6+0JSYmkp+fX3GTEg8kD9RWAimFKYQQQojKUrNmTdRqNWfPnqVx48YYGRnh6OjIjRs3SExM5PDhw/To0QM3NzfWr18PwI8//oi/vz81a9bEx8eH8PBw6tSpw+7du9m0aRPt27dn2LBhlTsxAUhyXymkFKYQQgghKpOJiQnHjh1Tdr+tV68e4eHh/PTTT2RlZfH++++jp6dHdnY2Go2GXbt2ERUVhbu7O76+vuzfv58uXbrwxx9/8NVXX/Hxxx/z+uuvo1KpKnlmQpblCCGEEEI8ZTw8PNizZw/169cHCjfG+uuvv2jWrBmbN29WVhhYW1vz999/07x5cw4fPoyzszMeHh5cvXqVK1eu4Orqirm5OV5eXly5cqUypyT+P0nuhRBCCCGeMl5eXtja2ioVdtzc3Dhx4gT+/v7KzrdQmPTPmzePwYMH4+joiLOzM0ZGRhgYGLBmzRp69OgBQEBAAKdOnaqUuQhtktwLIYQQQjxl/P39lcQcQF9fHw8PDxo2bKgV17FjR6ZOnYqbmxu9evWibt26APTv35+zZ8/SoEEDABo2bMiFCxeU83788UdSUlK4e/cuUVFRFTAjUUTW3AshhBBCPGVq167NK6+8otU2ffp0nJ2dtdocHBxwcHAACstqFmnevDnffPONssbewsKCjIwMoqOjcXFx4dChQ5w/f57MzEz09fVZsmSJUmtflC+5cy+EEEIIIahTp06JH4hVqVTUqVNHq83NzY3Ro0dz7NgxmjRpwldffcWyZcvo3Lkzo0aNUpbt/P777+Tl5ZX5+EUhuXMvhBBCCCEe27hx42jQoAE7d+6kdevWQOGHgFdeeYVGjRqxZ88eXF1dmTlzJv7+/ri7u1fyiKsnSe4rgdS5F0IIIUR11KBBA6ZNm8arr76q1e7t7c3SpUtZt24dffr0ISIiQpL7clJlk/uIiAj279/P+fPnSUhIwNLSEh8fH4YOHaq1XmzhwoVau6v918qVK7G1tQUKt2CeMGFCsXFz587F19dXeZ2bm8uaNWsIDg4mPT0dNzc3hgwZQtOmTR86dqlzL4QQQojqyMXFBRMTE9zc3LTa9fX1UalUREVF8e6777J3716ee+65yhlkNVdlk/vNmzdz+fJlAgMDcXNzIzU1lR07dvDBBx8wb9485WnuHj160KRJE61zNRoN3377LbVq1VIS+3/r3bs33t7eWm2Ojo5arxctWsTRo0fp06cPTk5O/PXXX0ybNo0vvvgCPz+/sp2sEEIIIUQVoFKpGD16NNbW1jrHmjRpgqenJ+7u7ly7du2hfWk0Gj766CPmzZtXDiOtvqpsct+3b18+/PBDDA0Nlbb27dszevRoNm3axPjx4wHw9fXVuuMOcPHiRbKzs+nYsWOxffv5+Sk7thUnIiKCQ4cOMXz4cPr16wdA586dGT16NCtXrmTu3LmPOTshhBBCiKrppZdeKrb939V2cnJy0Gg0D3yA986dOxw4cIC4uDidh3fF/VXZajn169fXSuwBnJyccHV1JTY29oHnHjx4EJVKRYcOHe4bo1aryc/PL/bY0aNH0dPTo3v37kqbkZERXbt2JSwsjMTExFLMRAghhBDi6eLm5vbQ+vexsbG0bNmS4ODgChpV9VBlk/viaDQaUlNTqVGjxn1j8vLyOHLkCL6+vtSuXbvYmMWLFzNgwAD69evHhAkTdLZTjoqKwtnZWWfdfL169QCIjo5+zJkIIYQQQlRfbdu25fjx48rrFStWsG3bNq2Y2NhY+vbty+nTp7Xa09PT0Wg0FTHMKqlaJfcHDhwgKSmJ9u3b3zfmn3/+IS0trdglOQYGBrRt25ZRo0YxadIkhgwZwrVr1wgKCuLq1atKXHJycrFryYrakpKSHjhOtVpdop/c3NwSzlwIIYQQoupo0qQJZ86cAQqXO58/f16pg18kLi4ODw8PDA0NycjIUNrnz5/PoUOHdPrMyMggOTm5fAdeBVTZNff/FRsby9KlS/H19aVz5873jTt48CAGBga0a9dO51j9+vWpX7++8rp169YEBgby3nvvsWrVKqZNmwYUrhP775IgKFyaU3T8QYYPH16iOQ0cOJBBgwaVKFYIIYQQoqowMTEhPz+f/Px8VqxYwccff8yXX36pFRMbG0udOnVo3rw5//zzj3Lz9s6dO+zcuVNnefXevXsJCQnR6edpUy2S+5SUFKZPn46ZmRlBQUH33d44MzOTEydO0LRp0wcu3fk3JycnAgICOHbsGPn5+ejr62NkZFTsXfWipL4oyb+fFStWlKgUZnEfIIQQQgghqgM3NzcOHz6MmZkZjo6O2NracufOHezs7IDCvM3U1JSAgAA2btyoJPf6+vrY2Njw559/0rVrV6W/sLAwUlNTiY2NxcXFpURjiI6Ornb19qv8spyMjAymTp1KRkYG06ZNK7a0ZZG///77gVVy7sfOzo68vDyys7MBsLGxISUlRSeuqO1BYwAwMzMr0Y8k90IIIYSorvz9/fnqq6+UTTwbNWrE+fPngcJnJIs2/Kxbty4xMTFcuHCBkydPYmZmxocffsiWLVvIzs4mPj6e77//nlu3bjF06FAOHz6sdZ2srCxWrlxZ7BgmTJig5HfVRZVO7nNycpgxYwbx8fFMmTIFV1fXB8YfOHAAU1NTWrVqVarr3Lp1CyMjI0xMTABwd3cnPj4etVqtFRceHq4cF0IIIYQQ9+fn50dmZqayH1HDhg25cOECULjeviivU6lUODg4MG/ePBYsWICrqysGBgY0b96cy5cvs3LlSo4fP46enp5WH2vXriU/P5/Lly+zZcsWnetrNBpiY2O5ceNGxUy4glTZ5D4/P585c+YQFhZGUFCQTi37/7p79y7nzp0jICBASdKLi/mv6OhoQkJCaNq0qfIJMjAwkIKCAnbv3q3E5ebmsm/fPnx8fLC3t3+MmQkhhBBCVH8ODg589dVXSn7l4eFBVFQUYWFhXL58WWtD0TZt2uDr64upqamy5KZx48bs3r2bjIwMxo0bR6tWrbC0tCQjI4Po6Gi++eYbrl27xoULFygoKCA1NVXr+snJyeTl5T20hHpVU2XX3C9fvpwTJ07QqlUr0tLSdGqgdurUSev14cOHyc/Pf+CSnDlz5mBkZISvry81a9bk+vXr7NmzB2NjY62NF3x8fAgMDGTVqlXcvXsXR0dH9u/fT0JCAmPGjCnTeQohhBBCVEcqlUorgdfT00NfX5+PP/4YPT09Zs2apRzr3LkzHTp04NixY3h4eACFy3ree+89fvnlF7y9vWnUqBEAtWvXZtq0aYwYMYJLly5x6dIl+vbtS1hYGAEBAUqfN27coHHjxsTFxemMbfPmzcqOuv+Wnp5OQkKCMoYnUZVN7os2PggJCSEkJETn+H+T+wMHDlCzZk0aN2583z5bt27NwYMH2b59O2q1GisrK9q0acPAgQNxcnLSih03bhyrV68mODiY9PR03NzcmDJlCv7+/mUwOyGEEEKIp0/Pnj2pW7cukyZN0lrmrFKpMDAw4JlnnlHaTE1N+frrr7U+IAC8/fbbGBkZkZqayk8//YRaraZFixacPn1aK7mPj48nICCg2Dv3Z86cwdbWVie5DwkJ4dSpU3z88cdlNeUyV2WT+9KWOZo3b95DY/r06UOfPn1K1J+RkREjRoxgxIgRpRoHFH4wKPoKqkivXr2UB0qEEEIIIZ5Gzz77LADr1q3TyZWK07JlS502GxsbAMzNzTl8+DAzZsygfv36LF++XCsuLi6OFi1a8PPPP+v0ERMTo1M8RaPREBUVVeyd/idJlU3uq7IFCxaUqBSmEEIIIcTTqCSJ/cOoVCq+//575e67s7MzUVFReHh4sHr1arZv306/fv3Iz89Ho9GgUqnIzs4mMzOThIQErQ2xsrKyCAoKwtzcnKysrMceW3mqsg/UCiGEEEII8SD/Xlbz8ssvM3v2bI4ePcrff//Nhg0bsLGxwdvbW6l4uHfvXiZPnoynp6fWnfuYmBiOHTvGzZs3sbCwIC8vTzn2791znwSS3AshhBBCiGrP09OThQsX8v333+Pg4ICpqSkAHTp0UAqzXLhwgVu3btG0aVOSkpKUc69du0abNm0wNzfHwcGB27dvK8fefvvtJyrBl+ReCCGEEEI8FczMzGjZsqWy2y0UVt1JTExk6tSp3Lp1i08++YT27dtrLb+JiYlhyJAhDB48mDp16ijr7nNzc4mIiCAyMrLC53I/ktwLIYQQQoinxujRo+nQoYPyWk9PjylTpmBlZYWJiQktWrRQ9k86ceIEd+/eJSYmhvr16xMQEECjRo3Ytm0beXl5XL16FQ8PD8LDw3U2N60s8kCtEEIIIYR4aqhUqmLbR44cqVUWU6PR8P3332NkZIRarcbCwgIovNPfsmVLtmzZgrGxMX369GHv3r2sW7eOLVu2aPV/6tQp/Pz8lCVAADk5OSQlJeHo6Fgu85M790IIIYQQ4qlXo0YN/Pz8lNcqlYrmzZuzaNEi3n77ba3YPn36EBwczOHDh2nXrh03btzA3d2da9euARAWFsahQ4f49NNPuXz5sta5Z8+eZdWqVeU2D7lzXwmkzr0QQgghxJOtdu3adOrUCRMTE9q0aaN1zMDAgJdeegk9PT3q1KnDmjVrCA8P58iRI7i7u7N06VIsLS159tlniY6OplmzZsq58fHx5VorX5L7SiB17oUQQgghnmwffvghBgb3T5WLNtwCsLa2plmzZqxatQpPT0+8vLwYPXo0169fZ+PGjUDhMp9z584RHx/PrVu3tPqaMGECEyZMUJb+PA5ZliOEEEIIIcR/PCixL46RkRHt27dn0aJFjBgxAgAnJyfi4+MBuHXrFp999hnx8fHY29srtfLz8vI4evQoISEhZTJuSe6FEEIIIYQoAy+//LLWCg0DAwMKCgqAwhr69+7dIy4uDk9PT+XufWRkJO3bt+fo0aM6d/QfhST3QgghhBBClAFDQ0Pq1Kmj1VarVi0OHjzIhQsX6NevH4aGhjg7OxMbG8vKlStZsGAB3bp1Izk5mQkTJjz2GCS5F0IIIYQQopx89NFHHDp0iCNHjtC3b188PT2pW7cuMTExXLx4ER8fHxo1asTChQuxsrJ67OvJA7VCCCGEEEKUE0NDQyZNmsTVq1dxcXHh008/JTk5mb1795KTk8P48eOVWAMDA3JycoiKiuLatWt079691NeT5L4SSClMIYQQQoinh0qlwsvLCyjcEdfOzo6EhARMTEy04uzt7blz5w4HDx4kOTlZkvuqQkphCiGEEEI83QwMDHTW59vb25OYmMilS5fQ19cnNTVVa3fbkpA190IIIYQQQlQwHx8f3NzctNrs7e2JiYnB2NgYjUbD6tWr+eOPP0rVryT3QgghhBBCVLAXX3yRjh07arXZ2dmxc+dOWrZsCUBUVBSnT58uVb+S3AshhBBCCFHBHB0dsba21mqzt7fn9OnTtG/fnho1apCWlsbdu3eVWvklIWvuhRBCCCGEeALY29tTr149HBwccHR0BArv5kdERJS4D0nuhRBCCCGEeALUqFGDJUuWAIV39i0sLGjRogU7duwocR+S3FcCKYUphBBCCCGKU7RU57nnnkOj0WBiYsKiRYtKfL4k95VASmEKIYQQQogH+XcN/DfffJPPPvusROdV2eQ+IiKC/fv3c/78eRISErC0tMTHx4ehQ4fi7OysxC1cuJD9+/fft5+VK1dia2urvM7NzWXNmjUEBweTnp6Om5sbQ4YMoWnTplrnlTROCCGEEEKIx+Hr61vi2Cqb3G/evJnLly8TGBiIm5sbqamp7Nixgw8++IB58+ZRt25dAHr06EGTJk20ztVoNHz77bfUqlVLK7EHWLRoEUePHqVPnz44OTnx119/MW3aNL744gv8/PxKHSeEEEIIIURFqbLJfd++ffnwww8xNDRU2tq3b8/o0aPZtGkT48ePBwo/6fz3087FixfJzs7WqS0aERHBoUOHGD58OP369QOgc+fOjB49mpUrVzJ37txSxQkhhBBCCFGRqmyd+/r162sl9gBOTk64uroSGxv7wHMPHjyISqWiQ4cOWu1Hjx5FT0+P7t27K21GRkZ07dqVsLAwEhMTSxUnhBBCCCFERaqyd+6Lo9FoSE1NxdXV9b4xeXl5HDlyBF9fX2rXrq11LCoqCmdnZ52HXevVqwdAdHQ09vb2JY67H7VaXaL5GBoa6nyAEUIIIYQQ4n6qVXJ/4MABkpKSGDx48H1j/vnnH9LS0nSW5AAkJyfr7BQG/1eSKCkpqVRx9zN8+PAHHi8ycOBABg0aVKJYIYQQQgghqk1yHxsby9KlS/H19aVz5873jTt48CAGBga0a9dO51hOTk6xd8qNjIyU46WJu58VK1aUqBSm3LUXQgghhBClUS2S+5SUFKZPn46ZmRlBQUHo6+sXG5eZmcmJEydo2rQpNWrU0DluZGREbm6uTntRsl6UvJc07n7MzMykzr0QQgghhChzVT65z8jIYOrUqWRkZDBr1iyd0pb/9vfffxdbJaeIjY1NsUtqUlJSAJS+SxonhBBCCCFERaqy1XKg8E75jBkziI+PZ8qUKQ98kBYK1+SbmprSqlWrYo+7u7sTHx+v88BreHi4crw0cUIIIYQQQlSkKpvc5+fnM2fOHMLCwggKCnrozl13797l3LlzBAQEaG3n+2+BgYEUFBSwe/dupS03N5d9+/bh4+OjVMApaZwQQgghhBAVqcom98uXL+fEiRM0b96ctLQ0goODtX7+6/Dhw+Tn5993SQ6Aj48PgYGBrFq1ihUrVrB7924mTpxIQkICw4YNK3XcfxWt0y9uvb54PLm5uaxdu1be23Ii72/5kve3fMn7W37kvS1f8v6Wr+r6/lbZ5D4qKgqAkJAQFixYoPPzXwcOHKBmzZo0btz4gf2OGzeOPn36EBwczLJly8jLy2PKlCn4+/s/Uty/SXJffnJzc1m3bp28t+VE3t/yJe9v+ZL3t/zIe1u+5P0tX9X1/a2yD9R++eWXpYqfN29eieKMjIwYMWIEI0aMKJO44kyYMAEDA+23vlevXvTq1avUfQkhhBBCCFGkyib3VdnMmTOxs7Or7GEIIYQQQohqpsouyxFCCCGEEEJok+S+mti5c6f0W06q2ntQld5bqHrvg7y/VbPf8lDV3oOq9N5C1Xsf5P2tmv2Wh8oeqyT31URV+8tU2X/wS6OqvQdV6b2Fqvc+yPtbNfstD1XtPahK7y1UvfdB3t+q2W95qOyxSnIvhBBCCCFENSHJvRBCCCGEENWEVMupBFIKUwghhBBClAdJ7iuQRqMBYPLkydja2uocV6vVj9x3QUHBY51f1fst6qsqjLUq9ivvb/n2K+9v+fZbXu9vVXoPyqtf+bNbvv3K+1u+/ValfxuK+ivKJR9EpSlJlCgTN2/e5M0336zsYQghhBBCiCpoxYoVD90rSZL7ClRQUEBycjKmpqaoVKrKHo4QQgghhKgCNBoNmZmZ2NjYoKf34EdmJbkXQgghhBCimpBqOUIIIYQQQlQTktwLIYQQQghRTUhyL4QQQgghRDUhpTAfQWZmJlu2bCEiIoKIiAjS09N5//33efbZZ7XiLly4wIQJE4rtY+7cufj6+mq15ebmsmbNGoKDg0lPT8fNzY0h/6+9O4+Kqu7/AP5mWIRhVxYFQRCNUHEBA0N/IiigBi5YmYrlhlqPkVY+aViPu6WkcbSnNLcMTR9DhdwQQhYRWbScYRdBwYEYYhj2dZjfH5yZGGfAGWWAwc/rHM+Ru833frjD93Pv/S4BAZgwYYLSzqUvUkZ88/LyEBsbCxaLBS6XC319fdjb22Pp0qWwtLRU6vn0Ncq6fjs6d+4cwsLCYG1tje+++65by9/XKTO++fn5+OWXX5CVlYXm5mYMHjwYPj4+mDNnjlLOpa9RVmxLSkoQFhaGrKws1NTUwNTUFO7u7pg/fz60tbWVdj59jbzxFZH3eqS6rZ0y4kt1WztlXbsdqVK9Rsn9c6iursbZs2dhamoKW1tbsNnsLrf38/PDyJEjJZYNGTJEartvv/0WSUlJmDNnDiwsLPD7779j27Zt2LVrF0aPHt2t59CXKSO+4eHhyM7OxuTJk2FjYwM+n4/Lly9j/fr1CAkJwbBhw7r9PPoqZV2/In///TfOnz//UiVFHSkrvvfu3cOOHTtgZ2eHhQsXQkdHB6WlpaioqOjW8vdlyohteXk5Pv74Y+jq6uKNN96Avr4+cnJycObMGTx8+BBbtmzp9vPoqxSJryLXI9Vt7ZQRX6rb2inr2hVRuXpNSBTW3Nws5PF4QqFQKMzLyxP6+voKo6OjpbZjsVhCX19f4a1bt555zNzcXKGvr68wPDxcvKypqUkYGBgo/PTTT7uv8CpAGfHNysoSNjc3SyzjcDjC+fPnC0NCQrqn4CpCGfHt6OuvvxZ+/vnnwk2bNgk/+OCDbimzKlFGfOvq6oQBAQHCXbt2CQUCQbeXWVUoI7bnzp0T+vr6Ch89eiSxfP/+/UJfX19hTU1N9xReBcgbX0WuR6rb/qGM+FLd1k4Zse1I1eo1anP/HDQ1NWFsbKzQPvX19RAIBJ2uT0pKAoPBwMyZM8XLtLS04OXlhZycHJSXlz93eVWNMuLr4OAATU1NiWUWFhawtrZGcXHxc5VTVSkjviIZGRlISkpCYGDg8xZP5SkjvvHx8eDz+Vi6dCkYDAYaGxvR1tb2okVVOcqIrWjWRyMjI4nlxsbGYDAY0NB4eV5wyxtfRa5Hqtv+oYz4Ut3WThmxFVHFeu3l+avVi0JDQ9HQ0AAGg4HRo0dj+fLlUq+KCwoKYGlpCSaTKbH8lVdeAQAUFhbC1NS0x8qsSuSJryxCoRB8Ph/W1tY9UErVJW98BQIBDh8+DG9vb9jY2PR8QVWUPPH9888/wWQyUVFRgV27doHD4UBbWxseHh5YtWoVtLS0eqn0fZs8sXV0dER4eDgOHjyIxYsXi5vlXLt2Db6+vqrzGr4HKXI9Ut2muBf9vlPd1jlFY6uq9Rol90qkoaEBNzc3TJw4EQYGBigqKsLFixexadMm7N27F3Z2duJteTyezLtO0bKXqV2tvBSJryxxcXGoqKjAkiVLeqjEqkXR+F6/fh3l5eXYuXNnL5VYtSgS35KSEggEAuzcuRNeXl549913wWazcfnyZdTV1WHjxo29eCZ9jyKxdXZ2RkBAAP73v/8hJSVFvPztt9/G0qVLe6P4fZ4i1yPVbYp70e871W2dUzS2qlqvUXKvRA4ODnBwcBD/7OrqismTJ+PDDz/EqVOnsG3bNvG65uZmqVdrAMR3kc3NzcovsIpRJL5PKy4uxg8//IBXX30Vnp6ePVFclaNIfKurq3H69GksXLgQhoaGvVFclaNIfBsbG9HU1IRZs2ZhzZo1AAA3Nze0trbi+vXrWLJkCSwsLHr8HPoqRf82mJmZYcyYMXBzc4O+vj7S09Nx/vx5GBsbw9fXt6eL3+cpcj1S3aa4F/m+U93WNUViq8r1GrW572EWFhaYNGkSWCyWRDtQLS0ttLS0SG0v+sNHr93l01l8O6qsrMT27dvBZDKxadMmqKur93ApVVdn8Q0LC4Oenh4lQi+oq78PADB16lSJ7d3d3QEAOTk5PVdIFdVZbBMSEnDo0CF8+OGH8PHxgZubG4KCguDp6YmTJ0+iurq6F0vdNylyPVLdprjn/b5T3fZsisRWles1Su57gYmJCVpbW9HU1CReNnDgQFRWVkptK1o2aNCgHiufqpMVX5G6ujps3boVdXV12LZtG8X1OTwd35KSEkRFRcHPzw88Hg9lZWUoKytDS0sLBAIBysrKUFNT08ulVh2d/X0ApDt9ip4m1dbW9lj5VJms2F69ehV2dnYwMTGR2NbV1RVNTU0oKCjo6WL2eYpcj1S3Ke55vu9Ut8lH3tiqer1GyX0v+Ouvv6ClpSXRUcvW1hYcDkc8coNIbm6ueD2Rj6z4Au1Pinbs2AEOh4Mvv/ySOhs9p6fjW1FRgba2Nhw5cgSrVq0S/8vNzQWHw8GqVatw9uzZXi616pB1/Y4YMQKAdPtkHo8HADAwMOi5AqowWbHl8/kyR8tobW0FALlGiXrZKHI9Ut2mOEW/71S3yU/e2Kp6vUZt7pWoqqpKqp1WYWEhUlNT4ezsDAbjn3uryZMn4+LFi7h+/Tr8/f0BtM/qFxMTA3t7expNQAZF4isQCLB3717k5ORgy5YtXc6uStrJG19ra2uZs4GGhYWhoaEBgYGBXU569bJS5PqdMmUKfv31V0RHR2PcuHHi5Tdu3IC6ujocHR17rNyqQJHYWlhY4I8//gCHw5GY0TMhIQEMBkOlRsjoKYpcj1S3KU6R+FLdphh5Y6vq9Rol989J1LNadPeXmpoq/r+vry90dXWxd+9eaGlp4dVXX4WRkRGKiooQFRWFAQMG4L333pM4nr29PSZPnoxTp06hqqoKQ4YMQWxsLLhcLoKCgnr8/Hpbd8f3+PHjSElJgYuLC2pqanDz5k2J9R4eHj1zYn1Ed8bX0NAQr7/+utRnREZGAoDMdf1dd1+/dnZ28PLyQnR0NAQCAcaMGQM2m42kpCS89dZbL9Ur+O6Orb+/P+7evYtNmzaJZ6hNS0vD3bt34e3t/VLFFpAvvopcj1S3Seru+FLd9o/ujK2q12tqQqFQ2NuFUEUrV64El8uVue7o0aMwNzdHZGQk4uPjUVpaivr6ehgaGmLs2LFYtGiRzJ7uzc3NCAsLQ1xcHGpra2FjY4OAgAA4OTkp+3T6nO6O7+bNm5GRkdHp5/3222/dWv6+ThnX79M2b96M6upqfPfdd91d/D5PGfFtbW3F+fPnERMTAx6PB1NTU7zxxhuYO3eusk+nT1FGbPPy8nDmzBkUFBSgpqYG5ubm8PT0xIIFC166TonyxBdQ7Hqkuu0f3R1fqtv+oYxr92mqUq9Rck8IIYQQQkg/QR1qCSGEEEII6ScouSeEEEIIIaSfoOSeEEIIIYSQfoKSe0IIIYQQQvoJSu4JIYQQQgjpJyi5J4QQQgghpJ+g5J4QQgghhJB+gpJ7QgghhBBC+gmN3i4AIUT1+fn5KbS9mZkZjh07Jp5dsePsgf1VY2Mj/vjjD6SlpSErKwtcLhcMBgNDhgyBm5sb5s2bBx0dHbmOtWXLFty/fx8AcOLECZiYmEisZ7PZ+Pzzzzvd397eHiEhIc/8nIyMDHz++ecQCoXw8vJCUFCQzO3y8vJw4cIFZGdno6qqCtra2hg2bBi8vLwwffp0qKmpSWwfExODe/fuobCwEHw+H42NjTAwMMCrr76KuXPnYtSoUTLLcvPmTeTn54PH46G2thba2tqwtbXFjBkz4OHhIfU5XXn6mt20aRMmT54s/vnAgQOIjY2V2o/JZMLKygru7u6YPXu21Ay2MTExCA0NhaenJzZs2CC1/5MnTxAcHAwej4eZM2figw8+gJqamvi7sHv3bjg6Ooq3f3oGUgaDAR0dHRgYGMDGxgbjxo3DtGnToKurK/e5y0N0/k+Xp68JCgpCYWGh+OdFixZh8eLFvVgiQnofJfeEkBfm6ekptSw7OxulpaWwtbWFra2txDoDA4OeKlqfER8fj0OHDgEArKys4OLigoaGBmRnZ+PMmTNISEjAnj17YGRk1OVxYmJicP/+faipqeFZE4wPGTIEDg4OMpc/S0tLi7i8XUlKSsLevXvR1tYGOzs7jBo1CtXV1cjMzERWVhb+/PNPfPrppxL7XLlyBYWFhRg2bBhGjRoFTU1NcDgc3L59G8nJyXj//fcxa9YsiX1SUlJw48YNWFpaYvjw4dDT00NFRQUyMzPBZrNx9+5dbNy48Znl7UhbWxtubm4A2m84ZXFwcBDHq62tDVwuFzk5OcjNzcXdu3fxn//8R+6biuLiYgQHB6OyshKzZ8/G2rVr5d7XyclJfG00NDTg77//RlpaGpKTk/HTTz9h9erVmDFjhlzH6k9cXFxga2uL0tJSZGdn93ZxCOkTKLknhLwwWU8oDxw4gNLSUkyaNKnTJ2kbNmxAU1MTBg0apOwi9joNDQ34+Phg7ty5sLKyEi/n8XjYtm0bCgoK8OOPP3aZoFZVVeH48eOYMGECOBwOuFxul5/p4OAg83cjj3PnzqGkpAReXl64ceOGzG0EAgF++OEHtLW14ZNPPsG0adPE64qLi/HZZ58hPj4e3t7eGDt2rHjd2rVrYWVlBSaTKXG8lJQU7N69G0ePHoWbmxsMDQ3F67y8vDBv3jypa6WkpASbN29GQkIC3N3d4eLiIvc5GhgYPDM+3t7eUknzgwcPsGnTJty9exfJycniG4SuFBUVITg4GHw+H35+fli9erXc5QSAN998U+oJel1dHSIiInDu3DmEhoZCIBDAx8dHoeOquoCAAADtN72U3BPSjtrcE0J6jZmZGaysrKCh0f+fM0yfPh3r1q2TSOwBYODAgXj//fcBAMnJyWhpaen0GD/++COamprE2yvL48ePER4eDi8vL5lP/kWePHkCPp8PS0tLicQeaH87IVr24MEDiXX29vZSiT0AuLq6wtHREc3NzcjJyZFYZ21tLfMm0MLCArNnzwYAsFgseU7vhY0cOVLchCczM/OZ2z9+/Fic2M+bN0/hxL4zurq6WLx4MdavXw8AOHLkCCorK7vl2IQQ1dX/a1RCSJ/VWZt7Pz8/mJmZ4ciRIzh//jxiY2NRUVEBMzMzLFiwQPwk9f79+zh37hzy8/PBYDDg4uKCVatWyWz2IxAIEBUVhdjYWBQVFUEgEMDS0hLTp0+Hr6+vVNvpnmRjYwOgvSlMTU0NBg4cKLXN3bt3ER8fj4CAALma1TwvoVCI7777Drq6uli2bBlSUlI63VZTU1OuY+rr68v9+aLfgyI3fM+zz4sSvVUQCARdbidK7KuqquDv74/ly5d3e1k8PDxw/fp1ZGVl4caNG1i4cKHc+0ZHR+O3334Dh8MBk8mEk5MTli1b1un2mZmZSExMRGZmJsrLy9HS0gJTU1NMmjQJb775JvT09MTbJiUl4auvvsLUqVM7fSN16NAhREVF4aOPPhJ/r6uqqnDx4kWkpqaivLwcDAYDRkZGsLe3h6+vL1555RW5z4+QlxEl94SQPuvrr78Gi8WCo6MjBg8ejIyMDISGhgIAdHR0sG/fPtjb28PJyQk5OTm4efMmysrK8NVXX0m0ZW5qasL27dvBYrGgr68Pe3t7aGlpIS8vD0ePHhV3QGUweudlZllZGYD25FRWItzY2Ij//ve/GDp0KPz9/eU+bmlpKX766SfU1NTAwMAAo0aNgpOTU5fnefXqVWRnZ2PDhg3PTMrNzc0xZMgQcDgcxMXFSTXLiYuLg56eHl5//XW5ynv//n2wWCzo6enB3t5ern3Ky8tx7do1AMDEiRPl2qc75OfnA4DUm5iOCgsLsWXLFlRXV+Ott97Cu+++q7TyTJ06FVlZWWCxWHIn9ydPnkR4eDg0NDTg6OgIJpOJe/fugc1mS/WTETlx4gQKCwvFnXmbm5tRUFCA8PBwpKWlISQkRNwx3NXVFcbGxkhOTkZ1dbXUTXdDQwMSEhLAZDIxZcoUAEB9fT0++eQTlJWVwcTEBOPHj4e6ujrKy8uRmJiIwYMHU3JPyDNQck8I6ZO4XC50dHRw+PBh8VNSFouF4OBg/Pzzz2hpaUFwcDBee+01AO1JwcaNG5GVlQU2my3Rxvv48eNgsVj4v//7P/zrX/8SjyxSX1+Pffv2ISUlBVFRUVKdOHtKZGQkgPZOk7Kehp8+fRpcLhe7d++W+2k50N6p+el2yDY2Nti8eTMsLCyktq+oqMCpU6cwduxYmZ2kn6auro7169dj+/bt+Oabb3Dp0iVYWFigqqoKmZmZsLKywvr16zu9SYiJiQGbzUZLSwtKS0uRn58PXV1dbNy4UeIJcEc5OTm4du0a2trawOPxkJWVhba2NgQEBGDMmDFyROX5CQQClJeX4/Lly8jIyICJiQk8PDxkbsvhcBAcHIyamhosXLhQ3DZcWUTJ+JMnT+TaPicnBxcuXICuri527doFOzs7AO0J986dO5Gamipzv3feeQcODg4So/O0tLTg8OHDiIqKwqVLl7Bo0SIA7TerM2bMwPnz53Hz5k3MnTtX4lgJCQloaGjArFmzoK2tDQC4ffs2ysrK4OrqKnXDXVVVBT6fL19ACHmJUZt7QkifFRgYKNGpcuzYsRg+fDh4PB6cnZ3FiT3QPkShqDNhx6ED+Xw+bty4ARMTE3z00UcSSQmTyURQUBA0NDRw9erVHjgjaenp6YiOjoaGhobMBDA/Px+RkZHw9PSUe0hCJpMJf39/hISE4MyZMzhz5gx27twJe3t7PHr0CF988QXq6uqk9vvhhx/Q3NysUJv+UaNGYc+ePRg8eDAePnyIxMREsFgsqKmpYfz48Rg8eHCn+2ZlZSE2NhaJiYnIz8+Hvr4+goKC4OTk1Ok+paWliI2NRVxcHFgsFtra2rB48WKF3mgoIjQ0FH5+fvDz88O8efMQGBiIiIgIuLu7IyQkRGbfAQDIzc1FTU0NXnnlFaUn9sA/I1DV1tbKtf21a9cgFArh5+cnTuyB9jdia9as6XQUn4kTJ0oNu6mpqYnAwECoq6tLNeOaOXMmGAwGoqKipI4VHR0NABKdgKuqqgC0f9effsNkaGiIYcOGyXV+hLzM6Mk9IaRP0tDQkPkkdvDgwSgoKMCECRNkrgPaR6ARYbPZaG1thbOzMwYMGCC1j7GxMSwsLPD48WM0NTXJ3EZZiouL8c0330AoFGL58uVSTSEEAgEOHjwIXV1drFixQu7j2tnZSSRsADBu3DiMGTMGwcHByMzMxNWrV/HWW2+J19++fRt37tzBO++8g6FDh8r9WfHx8QgNDYW9vT02btwIa2tr8Hg8XLhwAZcuXQKbzca+fftkvnEICgpCUFAQGhoawOFwEB4ejj179sDHxwfr1q2T+XkeHh7w8PBAS0sLuFwuYmNjcfbsWaSlpWHr1q2dPvF/Xh2HwgSAyspK5Ofn49atW9DT0xMntU8bPnw4SkpKkJeXh5MnT3bZjr07PGtY1KeJOgJPnTpVap21tTVsbW1RUFAgc9+KigqkpqbiyZMnqK+vR1tbG4D272xJSYnEtmZmZnByckJ6ejqys7PFHbQfPXqE3NxcjBgxQuJaHTFiBADgwoULMDIywsSJEzu9gSKEyEbJPSGkTzIyMpKZNIle38saOUXU1rfjiDOi4SKjoqJkPj3sqLa2tsvkXjQU5dO8vb0xevToLo/9tIqKCmzduhW1tbWYN28e5syZI7VNZGQkCgoKEBQUJPEG43mpq6tjwYIFyMzMxL1798TJfX19PQ4fPgwLCwu8/fbbch+vpKQE3377LQwNDfHll1+K429hYYF169aBx+MhLS0N0dHR4hFtZNHR0cGIESPw2WefoaWlBVFRUZgwYYLEpFJP09TUhKWlJZYuXQp9fX0cO3YMp0+fxpo1a+QuvzxkDYUpas515coV6OnpyXwyb2Njg+XLl2P79u0IDw+Hjo6OQh1dFVVdXQ1A/s7LohtgU1NTmevNzMxkJveXLl3CTz/9hNbWVrnLNmvWLKSnpyMqKkqc3Iu+i08P3Tlu3DjMnTsXkZGR2LdvH9TV1WFnZ4fx48fDy8uryzdBhJB2lNwTQvqkZ3Vulbfzq+ip4vDhw8Wj0nTmWaOtNDY2ypy11NHRUaHkvqamBl988QW4XC5mzJjR6VP51NRUqKmp4ffff5f6XNGQh1999RU0NTXx5ptvwtnZ+ZmfLWpr33HIxIcPH4LH48HMzAxffvmlzM9JT0/H5s2bYWxsjH//+98A2ttMt7a2wsnJSebsulOmTEFaWhoyMzO7TO47mjZtGlJSUpCSktJlct+Rh4cHjh07hjt37nR7ci8Lk8nEsmXLkJ6ejsuXL3fa7Gb8+PH47LPPsGfPHoSFhUFHR0fmTVx3ECXiXXXwfVE5OTk4duwYdHV1sW7dOjg6OsLY2Fj8Vua9996TeGsm4uzsDBMTE9y6dQurV6+GhoYG4uLioKOjI/PNwapVqzBz5kykpKTgzz//RHZ2tngW5E8//VTu64KQlxUl94SQfs3ExARAe9vwF038zM3N8dtvv73QMRoaGrB161YUFxfj9ddfx7p167qcpVQoFHY5lnpubi6A9nH05SFqky3rDQWXy+10YqzKykpUVlZKzOT6999/A4BUG2wR0XJ524ED/7QdF7W9loeenh4YDIb46XVPEA3dWldXh6qqqk7frLi6umLDhg3Yv38/jh49CiaTqZSZZBMTEwFAoiN5V4yNjcHlclFeXi7zhkDWdXDnzh0AwNKlS6Wut6ampk7H2FdXV4ePjw9Onz6NuLg4MJlM1NbWwtvbu9MmN0OHDsXQoUOxYMECNDc34/Llyzhx4gS+//57Su4JeQZK7gkh/ZqoY15qaipWrlzZqxNmtbS0YOfOncjLy4OTkxM2btzY5fj6e/bs6XTdypUrweVyceLECfENjDxu374NABLtnB0dHTu9aYmJiUFoaCi8vLwQFBQksc7Y2BiA9CRVIqLlHW8InkXUGVqRsfxFI+b0ZJMN0fClampqz+yn4e7ujsbGRhw6dAgHDx6Etra2eOjH7hAbG4vs7GwMGDAA3t7ecu0zevRocLlc3Lp1Szy6jUhxcTEKCwul9hHdpMlqEpeUlNRlu39vb2+cPXsWUVFR4oRe3tl0tbS04O/vj4iICPB4PPD5fBgZGcm1LyEvIxothxDSrw0aNAheXl7gcrnYt2+fzKeLJSUlSEpKUmo5BAIB9u3bBxaLhdGjR2Pz5s0KDWupiIiICJSXl0ssEwqFuHbtGiIiIqCmpiZ3M5muuLq6AoC4g25HOTk5iIiIAACJJ63FxcVITEyUmolXKBQiISEB4eHhUFNTkxqK88KFCzLfAOTl5eHgwYMAoJQn4rLU19fjxIkTAIAxY8aI+4F0xcfHB6tWrUJbWxu++eYbpKenv3A56urq8Msvv4jnfli7dq3cfTNEw75GRERIJPKNjY04cuSIzERd1KQrOjpaos19UVERTp482eXnDRw4EC4uLigoKEBGRgZsbGxkjlefnJwsNTsx0D5qFJ/Ph46OTqdviggh7ejJPSGk3wsMDERZWRlu376Ne/fuwdbWFqampmhqakJRURFKS0vh6uqq1Nf9V65cQXJyMoD2pifff/+9zO1WrFjxwp1nIyMjcfz4cdjZ2cHc3BwtLS149OgRysrKwGAwsHr1avGoJC9ixIgRmD9/Pi5evIjvv/8eV65cgZWVFXg8HnJzc9HW1gYfHx+MHz9evA+fz8fevXuhq6sLOzs7GBsbo66uDkVFReByuWAwGFi5cqVU4nfixAn8/PPPsLOzg5mZGVpbW/HXX3+JE9MpU6YopT37jRs3wGazJcr/4MED8cRga9eulftYc+fORUNDA06fPo09e/Zg69atUsObdtZE69dff0VMTAyA9gS8oqICDx8+RGtrK5hMJtasWSPX3AQiDg4O4t/dxx9/jLFjx4LJZCIjIwOamppwcXGRGut+xowZuHTpElJTU7F27VqMHDkStbW1yMjIgKurKx48eNBpsy6g/YZC9B2YOXOmzG0yMjIQGRmJQYMGYfjw4WAymeDxeMjMzBQPe6qsm2JC+gtK7gkh/d6AAQOwdetWxMfH4/fff0dhYSEePHgAAwMDmJmZwcPDQ2bHvu7U8amzKMGRZfHixS+c3M+bNw9//PEHioqKUFxcjNbWVgwcOBDTpk2Dn59ft87wuWLFCjg4OODatWvIz88Hh8OBjo4OxowZA29vb7i7u0tsb21tjSVLloDNZqOkpATZ2dlQU1ODiYkJvLy8MHv2bJk3HmvWrAGLxUJhYSEeP36M1tZWGBoawtXVFdOnT5d7FlxFPT0RmJaWFszNzTF9+nT4+/uLmybJ65133kFDQwMuXLiAHTt2YMeOHbC3txe/yejsLcC9e/cAtHck19HRgb6+Pl577TWMGzcOHh4ezzVc5IoVK2BpaYnLly+DzWZDV1cX48ePx7Jly3Dq1Cmp7Q0MDLB//36cPHkSGRkZSE1Nhbm5OZYsWYL58+dj9erVXX7e6NGjoaGhAQaDIXVdiEyfPh0MBgOZmZl48OAB6urqYGxsjIkTJ2LOnDkYN26cwudJyMtGTajo4LiEEEKIivPz84OZmRmOHTvW20UB0N5Jlc/nIywsrFuGPe2L4uPjERISAk9PT2zYsKFbjy3qG7Jo0SIsXry4W49NiKqhJ/eEEEJeStXV1Thw4AAAwNfXFyNHjuyVciQmJoLP58PKyqrfJvatra0IDw8HALzxxhvddtywsDCUl5ejtLS0245JiKqj5J4QQshLqeO8BS4uLj2e3B87dgz5+fnIysoCAKlRa/qDlJQU3LlzB3l5eSgqKsKkSZO6tVlYamqqzJF9CHmZUbMcQgghpBesXLkSVVVVsLGxgb+/P9zc3Hq7SN3uzJkz+OWXX6CnpwdnZ2esWbNG7ll0CSHPh5J7QgghhBBC+gka554QQgghhJB+gpJ7QgghhBBC+glK7gkhhBBCCOknKLknhBBCCCGkn6DknhBCCCGEkH6CkntCCCGEEEL6CUruCSGEEEII6ScouSeEEEIIIaSfoOSeEEIIIYSQfuL/AbtGWbORcspkAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tpf_fc = lk.search_targetpixelfile('KIC 2436365', cadence='long', quarter=1).download()\n", "one_pixel_mask = np.zeros((tpf_fc.shape[1], tpf_fc.shape[2]), dtype='bool')\n", "one_pixel_mask[1,2] = True\n", "ax = tpf_fc.to_lightcurve(aperture_mask=one_pixel_mask).plot()\n", "ax.set_xlim(150, 165)\n", "ax.set_ylim(ymax=3100);" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "4K1re2i4HLGj" }, "source": [ "Notice the jagged pattern which repeats around five times every day. This is the signal introduced by focus changes. KIC 2436365 is a non-variable star, which means that this pattern is the only variable signal present, and there is no confusion as to what we're looking at. In variable stars, this pattern could cause an effect similar to signal dilution, where actual stellar variability or transit events are attenuated by the presence of another signal." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "toThkPwYign7" }, "source": [ "### 2.2 Variable fine guidance stars\n", "\n", "*Kepler*'s attitude was controlled by Fine Guidance Sensors (FGS). This involved measuring the centroids of 40 guide stars. In the early mission, the centroid measurement was dependent on the star's flux. This meant that variable guide stars could influence the signal of any star they were used to calibrate. ([*Kepler* Data Characteristics Handbook](https://archive.stsci.edu/files/live/sites/mast/files/home/missions-and-data/kepler/_documents/Data_Characteristics.pdf), Section 4.5.)\n", "\n", "This issue was largely fixed after Quarter 1. Of the 40 FGS stars, only two used during Quarter 2 were variable: an intrinsic variable with a 2.9-day period, and an eclipsing binary with an 18.3-day period. These signals may be partially visible in the photometry of any target on the affected modules, in Quarters 0–2.\n", "\n", "As an example, let's look at a star that shows a remnant of the 2.9-day period. We'll only inspect the first three quarters, as the signal is significantly diluted in the full time series." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 401 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:09.497030Z", "iopub.status.busy": "2023-11-03T14:14:09.496870Z", "iopub.status.idle": "2023-11-03T14:14:10.274191Z", "shell.execute_reply": "2023-11-03T14:14:10.273870Z" }, "executionInfo": { "elapsed": 3873, "status": "ok", "timestamp": 1599076681280, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "pAmdaEH5ivIG", "outputId": "d984f930-fc49-44f6-8a8c-8124ef26286d" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc_fgs = lk.search_lightcurve('KIC 2436676', author=\"Kepler\", quarter=[0, 1, 2]).download_all().stitch()\n", "ax = lc_fgs.to_periodogram().plot()\n", "ax.set_xlim(0,1)\n", "ax.axvline(0.35, c='r')\n", "ax.axvline(0.7, c='r', ls='--');" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "9csT-pzsTQ8w" }, "source": [ "The signal of the variable FGS star is present around 0.35 cycles per day, and has a harmonic where you'd expect it at 0.7 c/d. Because of the way this signal is introduced into the data, it remains low amplitude, and is unlikely to have an effect on the majority of _Kepler_ analysis. In fact, when studying a star with its own strong signal, and/or all 17 quarters of data, the variable FGS signal is unlikely to show up at all.\n", "\n", "For an accuracy check, let's look at the same region in Quarters 3 and 4, which has a comparable sampling rate in the periodogram, to show that there is no signal present:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 418 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:10.276106Z", "iopub.status.busy": "2023-11-03T14:14:10.275876Z", "iopub.status.idle": "2023-11-03T14:14:10.907479Z", "shell.execute_reply": "2023-11-03T14:14:10.907129Z" }, "executionInfo": { "elapsed": 7676, "status": "ok", "timestamp": 1599076800188, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "eNhaGzpAixX9", "outputId": "610a055c-d528-45de-c5fc-2a089de6812b" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc_no_fgs = lk.search_lightcurve('KIC 2436676', author=\"Kepler\", quarter=[3,4]).download_all().stitch()\n", "ax = lc_no_fgs.to_periodogram().plot()\n", "ax.set_xlim(0,1)\n", "ax.axvline(0.35, c='r')\n", "ax.axvline(0.7, c='r', ls='--');" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "XrAHv-dw3uH2" }, "source": [ "## 3. Variable Guide Stars in _K2_\n", "\n", "Like *Kepler*, the *K2* mission used guide stars to assist with pointing as part of the FGS. Where *Kepler* used 40 guide stars throughout the whole mission, in *K2* it was harder to find suitable guide stars in *K2*'s visually crowded fields along the ecliptic plane, and so four stars were used in each campaign. This predictably reduced pointing stability, as each guide star in *K2* contributed more to the overall pointing.\n", "\n", "The majority of *K2* guide stars were stable. However, one of the Campaign 6 guide stars was an eclipsing binary with a period of 0.6046 days. By [folding](https://docs.lightkurve.org/reference/api/lightkurve.lightcurve.LightCurve.html#lightkurve.lightcurve.LightCurve.fold) an affected light curve on this period, we can see the impact of the eclipsing binary on an otherwise non-variable target.\n", "\n", "The example below is from the [*K2* Data Release Notes 35](https://archive.stsci.edu/missions/k2/doc/drn/KSCI-19156-001_K2-DRN35_C6.pdf) on the reprocessing of Campaign 6:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 405 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:10.909564Z", "iopub.status.busy": "2023-11-03T14:14:10.909348Z", "iopub.status.idle": "2023-11-03T14:14:12.652109Z", "shell.execute_reply": "2023-11-03T14:14:12.651714Z" }, "executionInfo": { "elapsed": 8148, "status": "ok", "timestamp": 1599841160533, "user": { "displayName": "Susan Mullally", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GhoAkTlu5JCXqC32438ISJU86DPSZdvoBOLwtOQMfU=s64", "userId": "01921813910966567332" }, "user_tz": 240 }, "id": "PczC965hLWDA", "outputId": "4bb9a9de-fe49-4be8-c06a-52eb6e6f3fad" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc_k2gs = lk.search_lightcurve(\"EPIC 212592841\", author=\"K2\", campaign=6).download()\n", "lc_k2gs.fold(period=0.6046).remove_outliers().bin(time_bin_size=0.001).plot();" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "mPYeetA_i1Xn" }, "source": [ "## 4. PDC Long Period Attenuation\n", "\n", "The _Kepler_ PDC pipeline is designed to prepare data for planet searches, which is focused on short-period transit signals; long-period signals are often instrumental systematics, such as flux variations caused by pixel-level temperature changes. To remove these systematics, the pipeline corrects variability with a period of roughly 10 days or more — or a frequency of less than 0.1 c/d ([_Kepler_ Data Characteristics Handbook](https://archive.stsci.edu/files/live/sites/mast/files/home/missions-and-data/kepler/_documents/Data_Characteristics.pdf), Section 5.15). Of course, this also results in the loss of any long-period stellar variability. As such, it is suggested that you perform your own photometry, such as outlined in the custom aperture photometry tutorial, if you're searching for long periods.\n", "\n", "The star we'll use as an example was studied by [Yu et al. 2020](https://arxiv.org/pdf/2001.10878.pdf); this paper also includes a brief discussion of the attenuation of long-period signals in PDCSAP data.\n", "\n", "Let's look at the PDC data first:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 404 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:12.654078Z", "iopub.status.busy": "2023-11-03T14:14:12.653901Z", "iopub.status.idle": "2023-11-03T14:14:13.246091Z", "shell.execute_reply": "2023-11-03T14:14:13.245687Z" }, "executionInfo": { "elapsed": 2678, "status": "ok", "timestamp": 1597740217654, "user": { "displayName": "Oliver Hall", "photoUrl": "", "userId": "08831861496876617563" }, "user_tz": -120 }, "id": "cm8SxaNKjUBN", "outputId": "4c72799c-57e4-4ea2-d6b1-54a29720b52c" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc_pdca = lk.search_lightcurve(\"KIC 7624629\", author=\"Kepler\", quarter=9).download()\n", "lc_pdca.plot()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "jYcK5sBnx1VB" }, "source": [ "As you can see, there looks to be some periodicity of around four days in this star; there are also massive spikes and a strange-looking long-period trend. This is the result of overcorrection by the PDC pipeline. When we look at the SAP flux, we can see the true long-period trend present in this star:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 404 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:13.247970Z", "iopub.status.busy": "2023-11-03T14:14:13.247831Z", "iopub.status.idle": "2023-11-03T14:14:13.465805Z", "shell.execute_reply": "2023-11-03T14:14:13.465452Z" }, "executionInfo": { "elapsed": 1197, "status": "ok", "timestamp": 1597740230489, "user": { "displayName": "Oliver Hall", "photoUrl": "", "userId": "08831861496876617563" }, "user_tz": -120 }, "id": "z7jKsJJwjVaG", "outputId": "63d02f04-2e03-4209-f68e-c8741e7d999a" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc_pdca.plot(column=\"sap_flux\");" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "wYM4reWrytA2" }, "source": [ "This looks like a smooth curve, but that's because this is such high amplitude variation; note the scale of the y-axis. Zooming in reveals a noisier curve, though small-scale structure is generally of less interest when studying such stars." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "qgHSIrILiucS" }, "source": [ "## 5. Short Cadence Issues\n", "\n", "The spurious signals that we've looked at so far have been in Long Cadence _Kepler_ data. These signals can also be found in Short Cadence data; however, there are two further time sampling effects that are unique to Short Cadence data, which we will explore in the following section. We'll also look at one Short Cadence effect unique to _K2_ data." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "ck78tXrSjEdl" }, "source": [ "### 5.1 Requantization gaps\n", "\n", "As part of onboard data compression, Short Cadence data for stars at fluxes brighter than 20,000 $\\rm{e^{-}s^{-1}}$ is *requantized*, meaning the flux measurements settle into \"bands\" at preferred values. This phenomenon can be seen in single-pixel time series, but averages out over multiple pixels when performing simple aperture photometry.\n", "\n", "This star, KIC 11182716, is shown in the [_Kepler_ Data Characteristics Handbook](https://archive.stsci.edu/files/live/sites/mast/files/home/missions-and-data/kepler/_documents/Data_Characteristics.pdf), Section 5.10. It has a _Kepler_ magnitude of Kp = 11.994, which puts it at the lower end of stars that saturate the detector. The code below extracts the time series for one bright pixel and plots the light curve as a series of dots to show the requantization bands:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 404 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:13.467605Z", "iopub.status.busy": "2023-11-03T14:14:13.467481Z", "iopub.status.idle": "2023-11-03T14:14:14.604957Z", "shell.execute_reply": "2023-11-03T14:14:14.604616Z" }, "executionInfo": { "elapsed": 6891, "status": "ok", "timestamp": 1599076980135, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "_bWreV_ejX0Z", "outputId": "37b8b0cc-9502-44a6-bd49-b096f6f4dbd0" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/chedges/Library/Caches/pypoetry/virtualenvs/lightkurve-hY241qo1-py3.9/lib/python3.9/site-packages/astropy/io/fits/fitsrec.py:715: UserWarning: Field 12 has a repeat count of 0 in its format code, indicating an empty field.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tpf_scrq = lk.search_targetpixelfile('KIC 11182716', cadence='short', quarter=0).download()\n", "one_pixel_mask = np.zeros((tpf_scrq.shape[1],tpf_scrq.shape[2]), dtype='bool')\n", "one_pixel_mask[4,4] = True\n", "lc_scrq = tpf_scrq.to_lightcurve(aperture_mask=one_pixel_mask)\n", "lc_scrq.plot(marker='.', linewidth=0);" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "KiDiB5g1jMbd" }, "source": [ "### 5.2 Nyquist alias spurious frequencies\n", "\n", "The PDC pipeline uses [cotrending basis vectors](https://keplerscience.arc.nasa.gov/data-products.html#cotrending-basis-vectors-cbvs) (CBVs) to correct both Long and Short Cadence data. However, as the CBVs are created based on Long Cadence data, they cannot correct for spurious signals above the Long Cadence Nyquist frequency, 283$\\mu$Hz (24 c/d).\n", "\n", "The most prominent of these spurious frequencies is the Long Cadence sampling rate, introduced by onboard electronics ([_Kepler_ Data Characteristics Handbook](https://archive.stsci.edu/files/live/sites/mast/files/home/missions-and-data/kepler/_documents/Data_Characteristics.pdf), Section 5.11). This frequency (566.4$\\mu$Hz, or 48.94 c/d) and integer multiples show up throughout Short Cadence data. In the plot below, we've marked 48.94 c/d and its first eight multiples with arrows:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 422 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:14.606921Z", "iopub.status.busy": "2023-11-03T14:14:14.606699Z", "iopub.status.idle": "2023-11-03T14:14:17.703597Z", "shell.execute_reply": "2023-11-03T14:14:17.703248Z" }, "executionInfo": { "elapsed": 32334, "status": "ok", "timestamp": 1599077104820, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "cdEa2xcxjYUO", "outputId": "a604c5e0-54d5-4f87-8b68-c8ee7c698b74" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc_scsf = lk.search_lightcurve('KIC 11182716', author=\"Kepler\", cadence='short').download_all().stitch()\n", "ax = lc_scsf.remove_outliers().to_periodogram().plot()\n", "\n", "for i in range(8):\n", " i+=1 \n", " if i == 8:\n", " ax.annotate('', xy=(i*48.94, 1.1e-5), xytext=(i*48.94, 3e-5), arrowprops=dict(arrowstyle='->', color='r', linewidth=1.5))\n", " else:\n", " ax.annotate('', xy=(i*48.94, 1.1e-5), xytext=(i*48.94, 3e-5), arrowprops=dict(arrowstyle='->', color='r', linewidth=1.5, alpha=0.5))" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "37pwPuru71Ki" }, "source": [ "More multiples of this frequency show up in fainter stars. We can begin to see this in KIC 2303576, which has a _Kepler_ magnitude of Kp = 17.445, and shows both the eighth and ninth multiples of the Long Cadence sampling rate:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 401 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:17.705469Z", "iopub.status.busy": "2023-11-03T14:14:17.705343Z", "iopub.status.idle": "2023-11-03T14:14:20.319045Z", "shell.execute_reply": "2023-11-03T14:14:20.318688Z" }, "executionInfo": { "elapsed": 7832, "status": "ok", "timestamp": 1597800576648, "user": { "displayName": "Isabel Colman", "photoUrl": "", "userId": "10998846152189153702" }, "user_tz": -600 }, "id": "XJO04pD1jcia", "outputId": "c1b03666-b206-4d5a-f798-3f785bb567bb" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc_scsf = lk.search_lightcurve('KIC 2303576', author=\"Kepler\", cadence='short').download_all().stitch()\n", "ax = lc_scsf.remove_outliers().to_periodogram().plot()\n", "\n", "for i in range(9):\n", " i+=1 \n", " if i == 8 or i ==9:\n", " ax.annotate('', xy=(i*48.94, 0.0015), xytext=(i*48.94, 0.003), arrowprops=dict(arrowstyle='->', color='r', linewidth=1.5))\n", " else:\n", " ax.annotate('', xy=(i*48.94, 0.0015), xytext=(i*48.94, 0.003), arrowprops=dict(arrowstyle='->', color='r', linewidth=1.5, alpha=0.5))" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "peo0aqz76jQ9" }, "source": [ "A list of other spurious frequencies present in Short Cadence data can be found in Table 5 of the [_Kepler_ Data Characteristics Handbook](https://archive.stsci.edu/files/live/sites/mast/files/home/missions-and-data/kepler/_documents/Data_Characteristics.pdf)." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "HlUHmQ9i29Ix" }, "source": [ "### 5.3 _K2_ Short Cadence data\n", "\n", "All _K2_ data is affected by the six-hour thruster firings to correct for pointing drift. The PDCSAP pipeline uses CBVs to remove this effect in Long Cadence data. As with _Kepler_ Short Cadence data, applying these same corrections to Short Cadence data leaves some systematics intact. _K2_ Short Cadence data is subject to the two issues noted above, as well as further spurious frequencies introduced by the six-hour drift.\n", "\n", "The following example is taken from the [_K2_ Handbook](https://archive.stsci.edu/files/live/sites/mast/files/home/missions-and-data/kepler/_documents/KSCI-19116-002.pdf). First, let's download some data for our star, EPIC 211414081, and see what the SAP data looks like. Again, we're using some extra arguments with our plotting function to display the light curve as individual points, which makes the scale of the outliers clearer." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 404 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:20.320954Z", "iopub.status.busy": "2023-11-03T14:14:20.320814Z", "iopub.status.idle": "2023-11-03T14:14:21.229300Z", "shell.execute_reply": "2023-11-03T14:14:21.228955Z" }, "executionInfo": { "elapsed": 5751, "status": "ok", "timestamp": 1599077163335, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "mNOWE3mQ5uHk", "outputId": "14dfb3ef-f758-430c-c58d-8c24e02667a9" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc_k2 = lk.search_lightcurve('EPIC 211414081', author=\"K2\", cadence='short', campaign=5).download()\n", "lc_k2.plot(column='sap_flux', marker='.', linewidth=0);" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "dDy6GBjb92q4" }, "source": [ "The PDCSAP time series for this target shows the effect of the six-hour systematics as regular spikes and occasional dramatic outliers:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 387 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:21.231117Z", "iopub.status.busy": "2023-11-03T14:14:21.230934Z", "iopub.status.idle": "2023-11-03T14:14:21.497031Z", "shell.execute_reply": "2023-11-03T14:14:21.496616Z" }, "executionInfo": { "elapsed": 1576, "status": "ok", "timestamp": 1599077170492, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "_ERp-WG8-SSR", "outputId": "17e957ae-19cb-47c7-f2e9-d651a0526bb4" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc_k2.plot(marker='.', linewidth=0);" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "DmbxOcbl_AME" }, "source": [ "The [_K2_ Handbook](https://archive.stsci.edu/files/live/sites/mast/files/home/missions-and-data/kepler/_documents/KSCI-19116-002.pdf) cautions that no detrending method can 100% remove the effects of thruster firing, even in Long Cadence data. However, as Short Cadence data are harder to correct than Long Cadence, some Short Cadence targets may be better suited to custom aperture photometry than using PDCSAP.\n", "\n", "Let's look at how this manifests in a periodogram:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 423 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:21.499372Z", "iopub.status.busy": "2023-11-03T14:14:21.499216Z", "iopub.status.idle": "2023-11-03T14:14:22.069178Z", "shell.execute_reply": "2023-11-03T14:14:22.068868Z" }, "executionInfo": { "elapsed": 2444, "status": "ok", "timestamp": 1599077175451, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "L3feMnsA_C2C", "outputId": "a326a2a3-d65f-4f49-8607-d4af61140434" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc_k2.remove_outliers().to_periodogram().plot();" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "k3mknVEr_R8M" }, "source": [ "We can see a series of high-amplitude spikes at four cycles/day, or a six-hour period. Two harmonics of the Long Cadence sampling frequency are also present, as above. Comparing the scale of these two sets of spurious frequencies, we can see the negative impact of the six-hour drift on _K2_ Short Cadence data.\n", "\n", "As some remnant of the six-hour drift will always remain in _K2_ data, these signals may appear in Long Cadence data too, but not to the same extent. When working with Short Cadence data, a complementary approach to custom aperture photometry could be manual periodogram cleaning, using software such as [Period04](https://www.univie.ac.at/tops/Period04/). However, only the lower frequencies are impacted here, which luckily does not interfere with the Short Cadence advantage over Long Cadence: its ability to probe higher frequencies. " ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "vbge5j28DVeN" }, "source": [ "## About this Notebook\n", "\n", "**Author:** [Isabel Colman](http://orcid.org/0000-0001-8196-516X) (`isabel.colman@sydney.edu.au`) \n", "\n", "**Updated on:** 2020-09-29\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "lqLn0kF5fvvT" }, "source": [ "## Citing Lightkurve and Astropy\n", "\n", "If you use `lightkurve` or `astropy` for published research, please cite the authors. Click the buttons below to copy BibTeX entries to your clipboard." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 144 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:22.071020Z", "iopub.status.busy": "2023-11-03T14:14:22.070894Z", "iopub.status.idle": "2023-11-03T14:14:22.075099Z", "shell.execute_reply": "2023-11-03T14:14:22.074819Z" }, "executionInfo": { "elapsed": 386, "status": "ok", "timestamp": 1600729831984, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "7vUtrWVjnlY7", "outputId": "7bb44145-64d8-44f9-bb75-ee5527552f5d" }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", "\n", "

\n", " When using Lightkurve, we kindly request that you cite the following packages:\n", "

    \n", "
  • \n", " lightkurve\n", " \n", "
  • \n", "
  • \n", " astropy\n", " \n", "
  • \n", "
  • \n", " astroquery\n", " \n", " — if you are using search_lightcurve() or search_targetpixelfile().\n", "
  • \n", "
  • \n", " tesscut\n", " \n", " — if you are using search_tesscut().\n", "
  • \n", "
\n", "

\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lk.show_citation_instructions()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "y1HbVfHwDVeN" }, "source": [ "\"Space" ] } ], "metadata": { "colab": { "collapsed_sections": [], "name": "Instrumental noise in Kepler and K2 #2: spurious signals and time sampling effects.ipynb", "provenance": [] }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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 }