{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "qAZbsGcIFimR"
   },
   "source": [
    "# How to understand and manipulate the periodogram of an oscillating star"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "Hzt4B1ZNFprf"
   },
   "source": [
    "## Learning Goals\n",
    "\n",
    "By the end of this tutorial you will:\n",
    "\n",
    "- Understand the key features of periodograms of oscillating stars.\n",
    "- Understand how these features change depending on the type of star being studied.\n",
    "- Be able to manipulate the periodogram to focus in on areas you're interested in.\n",
    "- Be able to smooth a periodogram.\n",
    "- Be able to remove features such as the convective background in solar-like oscillators."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "X5FusNRmGSwu"
   },
   "source": [
    "## Introduction\n",
    "\n",
    "The brightnesses of stars can oscillate — that is, vary over time — for many different reasons. For example, in the companion tutorials we explored light curves that oscillated due to an eclipsing binary pair transiting in front of one another, and we looked at a star that showed variability due to star spots on its surface rotating in and out of view.\n",
    "\n",
    "In this tutorial, we will focus on *intrinsic* oscillators: stars that exhibit variability due to processes inside the stars. For example, one of these internal processes is the presence of standing waves trapped in the interior. When the light curve of a star is transformed into the frequency domain, such waves can be observed as distinct peaks in the frequency spectrum of the star. The branch of astronomy that focuses on studying these signals is called [*asteroseismology*](https://en.wikipedia.org/wiki/Asteroseismology).\n",
    "\n",
    "Asteroseismology is an important tool because it allows intrinsic properties of a star, such as its mass and radius, to be estimated from the light curve alone. The only requirement is that the quality of the light curve — its duration, sampling, and precision — must be good enough to provide a high-resolution view of the star in the frequency domain. *Kepler* data is particularly well-suited for this purpose.\n",
    "\n",
    "In this tutorial, we will explore two types of intrinsic oscillators that are commonly studied by asteroseismologists: \n",
    "1. [**$\\delta$ Scuti stars**](https://en.wikipedia.org/wiki/Delta_Scuti_variable): a class of oscillating stars typically 1.5 to 2.5 times as massive as the Sun, which oscillate due to fluctuations in the opacity of the outer layers of the star.\n",
    "2. **Solar-Like Oscillators**: a class that includes all stars that oscillate in the same manner as the Sun, namely due to turbulent motion in the convective outer layers of their atmospheres. This includes both main sequence stars as well as red giant stars.\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "xIVeKA87FwgX"
   },
   "source": [
    "## Imports\n",
    "This tutorial only requires **[Lightkurve](https://docs.lightkurve.org)**, which in turn uses **[Matplotlib](https://matplotlib.org/)** for plotting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "cellView": "both",
    "colab": {},
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:24:00.879877Z",
     "iopub.status.busy": "2023-11-03T14:24:00.879511Z",
     "iopub.status.idle": "2023-11-03T14:24:02.112906Z",
     "shell.execute_reply": "2023-11-03T14:24:02.112458Z"
    },
    "id": "Bb6VnXNWFyl4"
   },
   "outputs": [],
   "source": [
    "import lightkurve as lk\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "pRDRo8S3Sa_Y"
   },
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "fOoYYUBIGg4x"
   },
   "source": [
    "## 1. Exploring the Frequency Spectrum of a $\\delta$ Scuti Oscillator"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "adwNO24IKMSy"
   },
   "source": [
    "[$\\delta$ Scuti stars](https://en.wikipedia.org/wiki/Delta_Scuti_variable) are stars roughly 1.5 to 2.5 as massive as the Sun, and oscillate due to fluctuations in the opacity of the outer layers of the star ([known as the Kappa mechanism](https://en.wikipedia.org/wiki/Kappa%E2%80%93mechanism)), alternately appearing brighter and fainter.\n",
    "\n",
    "An example star of this type is HD 42608, which was recently observed by the *TESS* space telescope. We can search for these data using Lightkurve:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "cellView": "both",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 78
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:24:02.114984Z",
     "iopub.status.busy": "2023-11-03T14:24:02.114823Z",
     "iopub.status.idle": "2023-11-03T14:24:04.990051Z",
     "shell.execute_reply": "2023-11-03T14:24:04.989707Z"
    },
    "executionInfo": {
     "elapsed": 1668,
     "status": "ok",
     "timestamp": 1600488241133,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "L3g1lr0SKNgb",
    "outputId": "841dce66-4e19-428e-8a82-841a2bb909f0"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "SearchResult containing 12 data products.\n",
       "\n",
       "<table id=\"table6426707808\">\n",
       "<thead><tr><th>#</th><th>mission</th><th>year</th><th>author</th><th>exptime</th><th>target_name</th><th>distance</th></tr></thead>\n",
       "<thead><tr><th></th><th></th><th></th><th></th><th>s</th><th></th><th>arcsec</th></tr></thead>\n",
       "<tr><td>0</td><td>TESS Sector 06</td><td>2018</td><td><a href='https://heasarc.gsfc.nasa.gov/docs/tess/pipeline.html'>SPOC</a></td><td>120</td><td>37498433</td><td>0.0</td></tr>\n",
       "<tr><td>1</td><td>TESS Sector 33</td><td>2020</td><td><a href='https://heasarc.gsfc.nasa.gov/docs/tess/pipeline.html'>SPOC</a></td><td>120</td><td>37498433</td><td>0.0</td></tr>\n",
       "<tr><td>2</td><td>TESS Sector 06</td><td>2018</td><td><a href='https://archive.stsci.edu/hlsp/tess-spoc'>TESS-SPOC</a></td><td>1800</td><td>37498433</td><td>0.0</td></tr>\n",
       "<tr><td>3</td><td>TESS Sector 33</td><td>2020</td><td><a href='https://archive.stsci.edu/hlsp/tess-spoc'>TESS-SPOC</a></td><td>600</td><td>37498433</td><td>0.0</td></tr>\n",
       "<tr><td>4</td><td>TESS Sector 06</td><td>2018</td><td><a href='https://archive.stsci.edu/hlsp/qlp'>QLP</a></td><td>1800</td><td>37498433</td><td>0.0</td></tr>\n",
       "<tr><td>5</td><td>TESS Sector 33</td><td>2020</td><td><a href='https://archive.stsci.edu/hlsp/qlp'>QLP</a></td><td>600</td><td>37498433</td><td>0.0</td></tr>\n",
       "<tr><td>6</td><td>TESS Sector 06</td><td>2018</td><td><a href='https://archive.stsci.edu/hlsp/tasoc'>TASOC</a></td><td>120</td><td>37498433</td><td>0.0</td></tr>\n",
       "<tr><td>7</td><td>TESS Sector 06</td><td>2018</td><td><a href='https://archive.stsci.edu/hlsp/cdips'>CDIPS</a></td><td>1800</td><td>37498433</td><td>0.0</td></tr>\n",
       "<tr><td>8</td><td>TESS Sector 06</td><td>2018</td><td><a href='https://archive.stsci.edu/hlsp/gsfc-eleanor-lite'>GSFC-ELEANOR-LITE</a></td><td>1800</td><td>37498433</td><td>0.0</td></tr>\n",
       "<tr><td>9</td><td>TESS Sector 06</td><td>2018</td><td><a href='https://archive.stsci.edu/hlsp/tasoc'>TASOC</a></td><td>1800</td><td>37498433</td><td>0.0</td></tr>\n",
       "<tr><td>10</td><td>TESS Sector 06</td><td>2018</td><td><a href='https://archive.stsci.edu/hlsp/tasoc'>TASOC</a></td><td>1800</td><td>37498433</td><td>0.0</td></tr>\n",
       "<tr><td>11</td><td>TESS Sector 06</td><td>2018</td><td><a href='https://archive.stsci.edu/hlsp/tglc'>TGLC</a></td><td>1800</td><td>37498433</td><td>0.0</td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "SearchResult containing 12 data products.\n",
       "\n",
       " #     mission     year       author      exptime target_name distance\n",
       "                                             s                 arcsec \n",
       "--- -------------- ---- ----------------- ------- ----------- --------\n",
       "  0 TESS Sector 06 2018              SPOC     120    37498433      0.0\n",
       "  1 TESS Sector 33 2020              SPOC     120    37498433      0.0\n",
       "  2 TESS Sector 06 2018         TESS-SPOC    1800    37498433      0.0\n",
       "  3 TESS Sector 33 2020         TESS-SPOC     600    37498433      0.0\n",
       "  4 TESS Sector 06 2018               QLP    1800    37498433      0.0\n",
       "  5 TESS Sector 33 2020               QLP     600    37498433      0.0\n",
       "  6 TESS Sector 06 2018             TASOC     120    37498433      0.0\n",
       "  7 TESS Sector 06 2018             CDIPS    1800    37498433      0.0\n",
       "  8 TESS Sector 06 2018 GSFC-ELEANOR-LITE    1800    37498433      0.0\n",
       "  9 TESS Sector 06 2018             TASOC    1800    37498433      0.0\n",
       " 10 TESS Sector 06 2018             TASOC    1800    37498433      0.0\n",
       " 11 TESS Sector 06 2018              TGLC    1800    37498433      0.0"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lk.search_lightcurve('HD 42608', mission='TESS')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "DtrKUCiiMOSP"
   },
   "source": [
    "Success! A light curve for the object appears to be available in the data archive. Let's go ahead and download the data and convert it straight to a [periodogram](https://docs.lightkurve.org/reference/api/lightkurve.periodogram.Periodogram.html#lightkurve.periodogram.Periodogram) using the [to_periodogram()](https://docs.lightkurve.org/reference/api/lightkurve.LightCurve.to_periodogram.html?highlight=to_periodogram) function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "cellView": "both",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 404
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:24:04.992084Z",
     "iopub.status.busy": "2023-11-03T14:24:04.991839Z",
     "iopub.status.idle": "2023-11-03T14:24:07.841745Z",
     "shell.execute_reply": "2023-11-03T14:24:07.841408Z"
    },
    "executionInfo": {
     "elapsed": 46268,
     "status": "ok",
     "timestamp": 1600488171049,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "BvnxPAgQMIDm",
    "outputId": "23ff2f53-018b-4740-9f56-d9842c348e12"
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lc = lk.search_lightcurve('HD 42608', mission='TESS', author='SPOC', sector=6).download()\n",
    "pg = lc.normalize().to_periodogram()\n",
    "pg.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "e2uG8e-OOkCn"
   },
   "source": [
    "We can see that there is a strong power excess around 50 cycles per day. These indicate stellar oscillations.\n",
    "\n",
    "To study these peaks in more detail, we can zoom in by recreating the periodogram using the `minimum_frequency` and `maximum_frequency` keywords:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "cellView": "both",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 403
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:24:07.843552Z",
     "iopub.status.busy": "2023-11-03T14:24:07.843429Z",
     "iopub.status.idle": "2023-11-03T14:24:08.040111Z",
     "shell.execute_reply": "2023-11-03T14:24:08.039771Z"
    },
    "executionInfo": {
     "elapsed": 46924,
     "status": "ok",
     "timestamp": 1600488171725,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "QwDbpGCUO3y2",
    "outputId": "16f2d2d5-0aaa-403e-9dc7-7de18b63c76d"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pg = lc.normalize().to_periodogram(minimum_frequency=35,\n",
    "                                   maximum_frequency=60)\n",
    "pg.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "P7-1v-C1PwaF"
   },
   "source": [
    "This is much clearer!\n",
    "\n",
    "Stars of this type are known to display multiple types of oscillation, including:\n",
    "- **Radial Oscillations**: caused by the star shrinking and expanding radially. Also called a \"breathing mode.\"\n",
    "- **Dipole Oscillations**: caused by the star's hemispheres shrinking and expanding alternately.\n",
    "\n",
    "Both types of oscillations are on display in the figure above. Identifying exactly what type of oscillation a given peak represents is challenging. Fortunately, this star (HD 42608) is part of a set of stars for which the oscillations have been analyzed in detail in a research paper by [Bedding et al. (2020)](https://arxiv.org/pdf/2005.06157.pdf), so you can consult that paper to learn more about the details.\n",
    "\n",
    "Note that the modes of oscillation are very \"sharp\" in the figure above. This is because $\\delta$ Scuti oscillations are *coherent*, which is a term astronomers in the field use for signals that have long lifetimes and are not heavily damped. Because of this, their exact oscillation frequencies can be observed in a fairly straightforward way. This sets $\\delta$ Scuti stars apart from solar-like oscillators, which are damped. Let's look at an example of such a star next."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "Yht1JopOMh4w"
   },
   "source": [
    "## 2. Exploring the Frequency Spectrum of a Solar-Like Oscillator\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "ur-BwspSTU_k"
   },
   "source": [
    "Solar-like oscillators exhibit variability driven by a different mechanism than $\\delta$ Scuti stars. They encompass the class of stars that [oscillate in the same manner as the Sun](https://en.wikipedia.org/wiki/Helioseismology). Because they have lower masses than $\\delta$ Scuti stars, solar-like oscillators have convective outer envelopes. The turbulent motion of these envelopes excites standing waves inside the stars which cause brightness changes on the surface. Unlike $\\delta$ Scuti stars however, these waves are not coherent. Instead, these waves are stochastic and damped, which means that the lifetimes and amplitudes of the waves are limited and variable.\n",
    "\n",
    "While the name might imply that only stars like the Sun are solar-like oscillators, this is not true. All stars with convective outer layers can exhibit solar-like oscillations, including red giant stars!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "VRqwTgnjUPP9"
   },
   "source": [
    "Let's have a look at the Sun-like star KIC 10963065 ([also known as Rudy](https://arxiv.org/pdf/1612.00436.pdf)), observed with *Kepler*. Because solar-like oscillation amplitudes are low, we will need to combine multiple quarters of data to improve our signal-to-noise.\n",
    "\n",
    "We can list the available data sets as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "cellView": "both",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 372
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:24:08.042007Z",
     "iopub.status.busy": "2023-11-03T14:24:08.041884Z",
     "iopub.status.idle": "2023-11-03T14:24:08.668191Z",
     "shell.execute_reply": "2023-11-03T14:24:08.667797Z"
    },
    "executionInfo": {
     "elapsed": 47495,
     "status": "ok",
     "timestamp": 1600488172311,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "Zsw3tSKEUlzb",
    "outputId": "6b1773b3-16a8-4fe2-d960-74652a2ff534"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "SearchResult containing 15 data products.\n",
       "\n",
       "<table id=\"table6437238240\">\n",
       "<thead><tr><th>#</th><th>mission</th><th>year</th><th>author</th><th>exptime</th><th>target_name</th><th>distance</th></tr></thead>\n",
       "<thead><tr><th></th><th></th><th></th><th></th><th>s</th><th></th><th>arcsec</th></tr></thead>\n",
       "<tr><td>0</td><td>Kepler Quarter 00</td><td>2009</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr010963065</td><td>0.0</td></tr>\n",
       "<tr><td>1</td><td>Kepler Quarter 01</td><td>2009</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr010963065</td><td>0.0</td></tr>\n",
       "<tr><td>2</td><td>Kepler Quarter 02</td><td>2009</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr010963065</td><td>0.0</td></tr>\n",
       "<tr><td>3</td><td>Kepler Quarter 03</td><td>2009</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr010963065</td><td>0.0</td></tr>\n",
       "<tr><td>4</td><td>Kepler Quarter 04</td><td>2010</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr010963065</td><td>0.0</td></tr>\n",
       "<tr><td>5</td><td>Kepler Quarter 05</td><td>2010</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr010963065</td><td>0.0</td></tr>\n",
       "<tr><td>6</td><td>Kepler Quarter 06</td><td>2010</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr010963065</td><td>0.0</td></tr>\n",
       "<tr><td>7</td><td>Kepler Quarter 07</td><td>2010</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr010963065</td><td>0.0</td></tr>\n",
       "<tr><td>8</td><td>Kepler Quarter 09</td><td>2011</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr010963065</td><td>0.0</td></tr>\n",
       "<tr><td>9</td><td>Kepler Quarter 10</td><td>2011</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr010963065</td><td>0.0</td></tr>\n",
       "<tr><td>10</td><td>Kepler Quarter 11</td><td>2012</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr010963065</td><td>0.0</td></tr>\n",
       "<tr><td>11</td><td>Kepler Quarter 13</td><td>2012</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr010963065</td><td>0.0</td></tr>\n",
       "<tr><td>12</td><td>Kepler Quarter 14</td><td>2012</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr010963065</td><td>0.0</td></tr>\n",
       "<tr><td>13</td><td>Kepler Quarter 15</td><td>2013</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr010963065</td><td>0.0</td></tr>\n",
       "<tr><td>14</td><td>Kepler Quarter 17</td><td>2013</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr010963065</td><td>0.0</td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "SearchResult containing 15 data products.\n",
       "\n",
       " #       mission      year author exptime  target_name  distance\n",
       "                                     s                   arcsec \n",
       "--- ----------------- ---- ------ ------- ------------- --------\n",
       "  0 Kepler Quarter 00 2009 Kepler    1800 kplr010963065      0.0\n",
       "  1 Kepler Quarter 01 2009 Kepler    1800 kplr010963065      0.0\n",
       "  2 Kepler Quarter 02 2009 Kepler    1800 kplr010963065      0.0\n",
       "  3 Kepler Quarter 03 2009 Kepler    1800 kplr010963065      0.0\n",
       "  4 Kepler Quarter 04 2010 Kepler    1800 kplr010963065      0.0\n",
       "  5 Kepler Quarter 05 2010 Kepler    1800 kplr010963065      0.0\n",
       "  6 Kepler Quarter 06 2010 Kepler    1800 kplr010963065      0.0\n",
       "  7 Kepler Quarter 07 2010 Kepler    1800 kplr010963065      0.0\n",
       "  8 Kepler Quarter 09 2011 Kepler    1800 kplr010963065      0.0\n",
       "  9 Kepler Quarter 10 2011 Kepler    1800 kplr010963065      0.0\n",
       " 10 Kepler Quarter 11 2012 Kepler    1800 kplr010963065      0.0\n",
       " 11 Kepler Quarter 13 2012 Kepler    1800 kplr010963065      0.0\n",
       " 12 Kepler Quarter 14 2012 Kepler    1800 kplr010963065      0.0\n",
       " 13 Kepler Quarter 15 2013 Kepler    1800 kplr010963065      0.0\n",
       " 14 Kepler Quarter 17 2013 Kepler    1800 kplr010963065      0.0"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "search_result = lk.search_lightcurve('KIC 10963065', author='Kepler', cadence=\"long\")\n",
    "search_result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "6-1E6szeVLwt"
   },
   "source": [
    "To create and plot this periodogram, we will apply a few common practices in the field:\n",
    "- We will combine multiple quarters to improve the frequency resolution.\n",
    "- We will [normalize](https://docs.lightkurve.org/reference/api/lightkurve.LightCurve.normalize.html?highlight=normalize) the light curve to parts per million (`ppm`).\n",
    "- We will use the `psd` normalization option when calling [to_periodogram](https://docs.lightkurve.org/reference/api/lightkurve.LightCurve.to_periodogram.html?highlight=to_periodogram), which sets the units of frequency to microhertz, and normalizes the power using the spacing between bins of frequency.\n",
    "\n",
    "We'll also plot the resulting figure in log-log space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "cellView": "both",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 447
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:24:08.670359Z",
     "iopub.status.busy": "2023-11-03T14:24:08.670224Z",
     "iopub.status.idle": "2023-11-03T14:24:09.549482Z",
     "shell.execute_reply": "2023-11-03T14:24:09.549159Z"
    },
    "executionInfo": {
     "elapsed": 55366,
     "status": "ok",
     "timestamp": 1600488180193,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "yyuOcEJRU3t7",
    "outputId": "cd271b55-a15a-4c8d-f893-2aed959bb4e1"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lc = search_result[0:10].download_all().stitch()\n",
    "pg = lc.normalize(unit='ppm').to_periodogram(normalization='psd')\n",
    "#pg = lc.to_periodogram(normalization='psd')\n",
    "pg.plot(scale='log');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "ae6PIa9_VwnZ"
   },
   "source": [
    "This periodogram looks very different to that of the $\\delta$ Scuti star above. There is a lot of power excess at low frequencies: this is what we call the *convective background*, which is additional noise contributed by the convective surface of the star constantly changing. We do not see any clear peaks like we did for the $\\delta$ Scuti oscillator however.\n",
    "\n",
    "There is a good reason for this: this main sequence star oscillates at frequencies too large to be seen on this periodogram, lying above the periodogram's [Nyquist frequency](https://en.wikipedia.org/wiki/Nyquist_frequency)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "tv7Xf7VwWLJF"
   },
   "source": [
    "The Nyquist frequency is a property of a time series that describes the maximum frequency that can be reliably determined in a periodogram. It stems from the assumption that you need a minimum of two observations per oscillation period to observe a pattern (one observation on the \"up,\" and one on the \"down\" oscillation). It is defined as follows:\n",
    "\n",
    "$\\nu_{\\rm nyq} = \\frac{1}{2\\Delta t}$ ,\n",
    "\n",
    "where $\\Delta t$ is the observing cadence."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "askCRV-NWxVo"
   },
   "source": [
    "The reason that we can't see Rudy's oscillations in the periodogram above is because we constructed this periodogram using the *Kepler* 30-minute Long Cadence data. Solar-like oscillators on the main sequence typically oscillate on the order of minutes (five minutes for the Sun), at frequencies much higher than will be visible on this periodogram. To see Rudy's oscillations, we will need to use the *Kepler* Short Cadence (SC) observations, which used a time sampling of one minute.  We can obtain these data as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "cellView": "both",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 447
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:24:09.551368Z",
     "iopub.status.busy": "2023-11-03T14:24:09.551230Z",
     "iopub.status.idle": "2023-11-03T14:24:12.495699Z",
     "shell.execute_reply": "2023-11-03T14:24:12.495361Z"
    },
    "executionInfo": {
     "elapsed": 94441,
     "status": "ok",
     "timestamp": 1600488219285,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "rxUH6IJ4XI4h",
    "outputId": "a28c9ee0-b638-4507-d96d-d87d4dcd86d1"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "search_result = lk.search_lightcurve('KIC 10963065',\n",
    "                                     mission='Kepler',\n",
    "                                     cadence='short')\n",
    "lc = search_result[0:10].download_all().stitch()\n",
    "pg = lc.normalize(unit='ppm').to_periodogram(normalization='psd')\n",
    "pg.plot(scale='log');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "5rGMsCjOYHNe"
   },
   "source": [
    "Now we can see a power excess near $2000\\, \\mu\\rm{Hz}$. This frequency is almost 10 times higher than we could view using the Long Cadence data alone. Let's zoom in on this region so we can look at the signals in more detail, like we did for the $\\delta$ Scuti star."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "cellView": "both",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 445
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:24:12.497511Z",
     "iopub.status.busy": "2023-11-03T14:24:12.497386Z",
     "iopub.status.idle": "2023-11-03T14:24:13.273374Z",
     "shell.execute_reply": "2023-11-03T14:24:13.272987Z"
    },
    "executionInfo": {
     "elapsed": 96945,
     "status": "ok",
     "timestamp": 1600488221802,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "-lJgX3KdYTYw",
    "outputId": "924b7080-6e5e-453b-d79e-241a2a645fd9"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "zoom_pg = lc.normalize(unit='ppm').to_periodogram(normalization='psd',\n",
    "                                                  minimum_frequency=1500,\n",
    "                                                  maximum_frequency=2700)\n",
    "zoom_pg.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "KkF828uuNJAQ"
   },
   "source": [
    "Compared to the $\\delta$ Scuti, the modes of oscillation in the figure above are less sharp, even though we used much more data to create the periodogram. This is because the modes in solar-like oscillators are damped due to the turbulent motion of the convective envelope. This lowers their amplitudes and also causes the lifetimes of the oscillations to be short. The short lifetimes create some uncertainty around the exact oscillation frequency, and so the peaks that appear in the periodogram are a little broader (usually Lorentzian-like in shape). This may not be immediately apparant from these figures, but is much clearer if you zoom in on an individual mode."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "IrAifdt5MlKT"
   },
   "source": [
    "## 3. How to Smooth and Detrend a Periodogram"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "gzP9O5umjpXD"
   },
   "source": [
    "### 3.1. The box kernel filter\n",
    "\n",
    "To further explore the oscillation modes, we will demonstrate some of Lightkurve's smoothing tools. There are two types of smoothing functions we can call through the [smooth()](https://docs.lightkurve.org/reference/api/lightkurve.periodogram.Periodogram.smooth.html?highlight=smooth) function. Let's start with a basic \"moving median,\" also known as a 1D box kernel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "cellView": "both",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 391
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:24:13.290420Z",
     "iopub.status.busy": "2023-11-03T14:24:13.290235Z",
     "iopub.status.idle": "2023-11-03T14:24:13.546429Z",
     "shell.execute_reply": "2023-11-03T14:24:13.545958Z"
    },
    "executionInfo": {
     "elapsed": 98004,
     "status": "ok",
     "timestamp": 1600488222876,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "WmqyRfrFh8xq",
    "outputId": "12a5058a-db22-4ea0-eadc-e0ce2b57452c"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "smooth_pg = zoom_pg.smooth(method='boxkernel', filter_width=0.5)\n",
    "ax = zoom_pg.plot(label='Original')\n",
    "smooth_pg.plot(ax=ax, color='red', label='Smoothed');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "RGjW6wRch84H"
   },
   "source": [
    "In the figure above, the smoothed periodogram is plotted over the top of the original periodogram. In this case we have used the [Astropy `Box1DKernel`](https://docs.astropy.org/en/stable/api/astropy.convolution.Box1DKernel.html) filter, with a filter width of $0.5\\, \\mu \\rm{Hz}$. The filter takes the median value of power in a region $0.5\\, \\mu \\rm{Hz}$ around a data point, and replaces that point with the median value. It then moves on to the next data point. This creates a smoothed periodogram of the same length as the original. Because the power values are now correlated, these smoothed periodograms usually aren't used for computational analysis, but they can aid visual explorations of the location of the oscillation modes."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "1WdETtxQiqlY"
   },
   "source": [
    "### 3.2. The log median filter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "LLzIXovvh9UP"
   },
   "source": [
    "While the [`Box1DKernel`](https://docs.astropy.org/en/stable/api/astropy.convolution.Box1DKernel.html) filter can be used to help identify modes of oscillation in the presence of noise, it is mostly good for smoothing on small scales. For large scales, we can instead use Lightkurve's log median filter.\n",
    "\n",
    "As we saw above, solar-like oscillators exhibit a large power excess at low frequencies due to the turbulent convection visible near the stellar surface. When studying modes of oscillation, we typically aren't interested in the convective background, and prefer to remove it.\n",
    "\n",
    "The log median filter performs a similar operation to the  [`Box1DKernel`](https://docs.astropy.org/en/stable/api/astropy.convolution.Box1DKernel.html)  filter, but does so in log space. This means that at low frequencies the number of frequency bins of which the median is taken is small, and that at high frequencies many frequency bins are included in the median calculation. As a result, the log median filter smooths over the convection background but ignores the modes of oscillation at high frequencies.\n",
    "\n",
    "The result of applying a log median filter is demonstrated using the red line in the figure below:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "cellView": "both",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 393
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:24:13.548519Z",
     "iopub.status.busy": "2023-11-03T14:24:13.548332Z",
     "iopub.status.idle": "2023-11-03T14:24:14.339164Z",
     "shell.execute_reply": "2023-11-03T14:24:14.338737Z"
    },
    "executionInfo": {
     "elapsed": 101162,
     "status": "ok",
     "timestamp": 1600488226050,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "VpYyVGzzh9cr",
    "outputId": "24aa0787-9635-4ca5-ee97-2f7c7955264d"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "smooth_pg = pg.smooth(method='logmedian', filter_width=0.1)\n",
    "ax = pg.plot(label='Original')\n",
    "smooth_pg.plot(ax=ax, linewidth=2,  color='red', label='Smoothed', scale='log');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "HBupThTbpZ2P"
   },
   "source": [
    "### 3.3. Flattening"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "W0Tczntlpbm1"
   },
   "source": [
    "When studying modes of oscillation, it is typically preferred to remove the convective background. In a detailed analysis this would involve fitting a model to the background. As can be seen in the figure above, however, Lightkurve's log median [smooth()](https://docs.lightkurve.org/reference/api/lightkurve.periodogram.Periodogram.smooth.html?highlight=smooth) method provides a useful first-order approximation of the background without the need for a model.\n",
    "\n",
    "To divide the power spectrum by the background, we can use Lightkurve's [flatten()](https://docs.lightkurve.org/reference/api/lightkurve.periodogram.Periodogram.flatten.html?highlight=flatten#lightkurve.periodogram.Periodogram.flatten) method. This function uses the log median smoothing method to determine the background, and returns a new [periodogram](https://docs.lightkurve.org/reference/api/lightkurve.periodogram.Periodogram.html?highlight=periodogra#lightkurve.periodogram.Periodogram) object in which the background has been divided out."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "cellView": "both",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 34
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:24:14.341142Z",
     "iopub.status.busy": "2023-11-03T14:24:14.341023Z",
     "iopub.status.idle": "2023-11-03T14:24:16.350851Z",
     "shell.execute_reply": "2023-11-03T14:24:16.350469Z"
    },
    "executionInfo": {
     "elapsed": 113778,
     "status": "ok",
     "timestamp": 1600488238677,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "v8MrrPbup7fw",
    "outputId": "ffed8cee-ab9b-4549-9315-d3e48c8e4465"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SNRPeriodogram(ID: KIC 10963065)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "snrpg = pg.flatten()\n",
    "snrpg"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "ASHfwxXAqCUc"
   },
   "source": [
    "The periodogram obtained by dividing by the noise in this way is commonly called a Signal-to-Noise periodogram (`SNRPeriodogram`), because the noise, in the form of the convective background, has been removed. This is a little bit of a misnomer, because there is still noise present in the periodogram.\n",
    "\n",
    "We plot the `SNRPeriodogram` below, and see that the modes of oscillation stick out from the noise much more clearly now that the convective background has been removed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "cellView": "both",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 391
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:24:16.352586Z",
     "iopub.status.busy": "2023-11-03T14:24:16.352463Z",
     "iopub.status.idle": "2023-11-03T14:24:16.745705Z",
     "shell.execute_reply": "2023-11-03T14:24:16.745413Z"
    },
    "executionInfo": {
     "elapsed": 114510,
     "status": "ok",
     "timestamp": 1600488239419,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "elhNeMJuqSBM",
    "outputId": "4aa26013-7c56-4e98-9042-fb29eaff2dca"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4keX9yGY8ffoUfn5+uHTpkt7HW7dubfAxc8i1XSIiU0VFRSEoKAgBAQGyD1IjMqSk49CUPFJQi/bOnTuhUqnw9ttvY/jw4Zq+O7GxsZg7dy5mzpyJ/Px8eHt7Y8KECZp+NkREREREZZWgwZB37txBnTp1MHLkSK0O8nXq1MHHH3+M/Px8VKpUCTNmzGCSTUREREQEgYl2WlqaVm3EotS1EFu0aMFuGERERERE/5+griOFhYWoUKGC3sfUy6tUqSJdVBYSEBAABwftaw1/f3/NCFkiIiIiIrHkr2tiw4KCgtgKT0REZCPUjV+FhYVWjoTKMvXxV7wxVgzBifatW7ewcOFCkx9XKBQYN26cuOiIiIiozFBXK4uIiChxqnIiuagn3pGiep7gRPvx48d4/PixyY8z0SYiIiIhXFxc0L59e+zevRsA0KhRI5QrV87KUVFZUVhYiIiICOzevRvt27eXpNeDoER7/PjxZu+IiIiIqCQDBgwAAE2yTWRp7du31xyH5hKUaBedz56IiIhILg4ODhg0aBD69u2L5ORkKJVKa4dEZYSDgwPc3NwkHb9XpgdDEhERkW1ycXFhwQKye+YPpyQiIiIiIh2CWrSNVRspCQdDEhEREVFZJCjRPnLkiMkbVigUUKlUTLSJiIiIqEwSlGh/++23Jm307t272Lt3L/Ly8kQFRURERERk7wQl2q+99pqgjT148ADr1q3DxYsXoVKpUKtWLQwcONCsAImIiIiI7JEkVUcePnyIdevW4fz581CpVPDw8MCgQYPwxhtv2HSh+YCAAJ3pNf39/eHv72+liIiIiIiotDAr0Y6KisK6detw9uxZTYI9cOBAdO/e3aYTbLWgoCCWDiIiIiIiWYhKtKOjo7FhwwacPn0aSqUS1atXx8CBA9GjRw84OrI0NxERERGRSVlxbGwsNmzYgJMnT0KpVMLd3R0DBgxAz5494eTkJFeMRERERER2R1CiHRcXhw0bNuDEiRMoLCyEm5sb3nvvPfj5+THBJpKISqWydghEREQkIUGJ9qeffgqVSgVnZ2f07dsXvXv3hrOzM9LS0gTtpHr16mYFSURERERkbwQl2kqlEgqFAnl5edi5cyd27txp0k5MXR8AwsPDcfToUYSEhCA+Ph5VqlSBl5cX3n//fdStW1dr3fz8fKxbtw7BwcHIyMiAp6cnhg8fjldeecXk/RKVNvHx8di1axdGjx5t7VCIiIjKFEGJtoeHh9xx6Ni6dStu376NTp06wdPTEykpKfjvv//w1Vdf4eeff0aDBg006y5YsACnT59Gv379UKdOHRw5cgQzZ87EnDlz0KJFC4vHTmRL7t69i6VLlzLRJiIisjBBifby5cvljkNH//798c0332j1AX/ttdfwxRdfYMuWLZgwYQKAZy3fJ06cwMiRI/HOO+8AAHx9ffHFF19g1apVmD9/vsVjJyIiIiJyKHkV62jevLnOQMs6deqgfv36iIqK0iw7ffo0HBwc4Ofnp1nm7OyMHj16ICwsDAkJCRaLmYiIiIhIzWYTbX1UKhVSUlJQtWpVzbKIiAjUrVtXZ+KZZs2aAXg2LTyRPWDVESIiotJFUNeRwsJCpKenw8nJCZUqVdJ5PDU1FWvWrMGlS5eQlpaG6tWro1OnThg0aBAqVqwoWbDHjh1DYmIihg0bplmWlJQENzc3nXXVyxITEw1uLysrS9B+nZycWMaQiIiIiEwiKNE+cuQIFi9ejIEDB2olucCzZHXixImIi4vTtMg9efIE27dvR2hoKObNmyfJdOxRUVFYunQpvL294evrq1mel5enNwl2dnbWPG7IyJEjBe17yJAhGDp0qIkRE1nOsWPH4O7ujhdffNHaoRAREdH/JyjRvnnzJgCgR48eOo9t2bIFjx8/Rvny5fHBBx/gxRdfRGxsLFasWIHw8HAcPnwYvXr1MivI5ORkzJo1Cy4uLpg0aZJW4u7s7Iz8/Hyd56gTbHXCrc/KlSt1upzow9ZssnXLli1DixYtmGgTERHZEEGJ9v3791G3bl3UrFlT57HDhw9DoVBg8ODB6Nu3LwCgQYMGeP755/H555/j1KlTZiXamZmZmDFjBjIzMzFv3jydyW/c3d31dg9JTk4GYHyyHBcXF0GJNpElsI82ERFR6SJoMGRKSgrq16+vszwqKgopKSkAgO7du2s9Vq9ePTRt2hSRkZGig8vLy8Ps2bMRExODadOm6Y2hYcOGiImJ0elvfefOHc3jRERERESWJijRzsrKgkKh0Fl+7949AED9+vXh6uqq83jNmjWRkZEhKrDCwkL89NNPCAsLw6RJk+Dt7a13vU6dOkGpVGL//v2aZfn5+Th8+DC8vLysMtkOEREREZGgriOVK1dGXFyczvLbt28DAJo2bar3eUqlUnTVkRUrVuD8+fNo27Yt0tPTERwcrPV4t27dAABeXl7o1KkTVq9ejdTUVNSuXRtHjx5FfHw8xo0bJ2rfRERERETmEpRoN27cGFevXsWdO3fg5eUFAMjJycHZs2ehUCjw0ksv6X1eTEwM3N3dRQUWEREBALhw4QIuXLig87g60QaAgIAArF27FsHBwcjIyICnpyemTZsGHx8fUfsmsjdhYWFQKpXWDoOIiIiKEJRo9+zZE1euXMGMGTPQp08fVK1aFUePHkVqaiqqVq2K9u3b6zwnKSkJjx49QseOHUUFNnfuXMHrOjs7Y9SoURg1apSofRGVBuHh4dYOgYiIiIoQlGh37NgR3bt3x+HDh7Fp0yYAzyokKBQKfPLJJyhfvrzOcw4dOgSVSoVXX31V2oiJiIiIiOyAoEQbAMaNG4fWrVvj7NmzSE1NRY0aNdCjRw80b95c7/pPnjxBu3bt0KpVK8mCJSIiIiKyF4ITbeBZy7bQriAciEhEREREZZmg8n5ERERERGQaQS3aBQUFcHQ0qfFb1u1IJSAgAA4O2tca/v7+8Pf3t1JERERERFRaCMp6x4wZg4EDB6Jnz54oV66cyTspKCjAgQMHsGXLFqxcudLk58slKCiIU7CTzeAU7ERERKWLoES7Tp06+OOPP7B+/Xp06dIFr732Gpo1a6bTGlyUUqlEeHg4jh8/jlOnTiE1NRUtW7aULHAiIiIiIlsmKNGeM2cOLl68iNWrV2P37t3477//4OzsjEaNGqFu3bqoXLkyKlasiOzsbGRkZCA6OhoPHjxAXl4eVCoVGjZsiPHjx6N169Zyvx4iIiIiIpsguMN0mzZt0KZNG9y6dQsHDx7E5cuXcfv2bc007MW5urqic+fO6NWrF7y9vSULmIiIiIjIHpg8MvGFF17ACy+8AACIjo5GZGQkUlNTkZmZiUqVKsHV1RUNGzZE3bp1JQ+WiIiIiMhemFUCpF69eqhXr55UsRCRRK5du4Z69eqhRo0a1g6FiIiozGIdbaJSaNy4cThw4IC1wyAiIirTmGgTEREREcmAiTYRERERkQyYaBMRERERyYCJNhERERGRDMyqOmLvAgICdGa39Pf3h7+/v5UiIpJGVlaWtUMgIiIq88p0oh0UFAQXFxdrh0EEAFCpVNYOgYiIiCTEriNERERERDIwq0X7wYMH2LNnD27duoXExEQAQPXq1dGiRQu8+eabaNiwoSRBEhERERHZG9GJ9q5du7By5UoolUqtW97R0dGIjo7G4cOHMXLkSPTr10+SQImIiIiI7ImoRPvq1atYtmwZypcvDz8/P/j6+qJmzZpQKBR48uQJgoODsX//fixfvhwNGjTASy+9JHXcRFQChUIh6/aPHz+OjRs3YsmSJbLuh4iIyF6JSrR37NiBcuXKYdasWWjevLnWYw0bNkTDhg3RsWNHTJo0Cdu3b2eiTVQKxcXF4fr169YOg4iIyGaJGgx59+5d+Pj46CTZRXl7e6Nly5YIDw8XHRwRERERkb0SlWjn5uaiatWqJa5XtWpV5ObmitkFEREREZFdE5Vo16hRA2FhYSgsLDS4TmFhIcLCwlCjRg3RwRERERER2StRiXa7du2QkJCAhQsXIiMjQ+fxrKwsLFq0CE+fPkX79u3NDpKoLBAyYQ0ntSEiIrIfogZDDhgwAGfPnsXx48dx/vx5vPrqq3juuecAAPHx8bhy5QqysrJQq1YtDBgwQNKAiYiIiIjsgahEu0qVKpg3bx4WL16MS5cu4fTp0zrrtG7dGp9//jkqV65sdpByCQgIgIODdqO+v78//P39rRQREREREZUWoiesqV69OqZNm4a4uDjcunULSUlJAAB3d3e88MILqFWrlmRByiUoKAguLi7WDoOIiIiISiGzpmAHgFq1atlFUk1U1sg9YQ0REREZJ2owJBERERERGSeoRfvo0aMAgPbt28PFxUXzt1C+vr6mR0ZEREREZMcEJdoLFiyAQqGAl5cXXFxcNH+XRKVSQaFQMNEmKoVYapCIiMg4QYn24MGDoVAoNLNBqv8mIiIiIiL9BCXaQ4cONfo3EZVNvOAmIiIyjIMhiWwEu2IQERGVLqIS7bfeegu//fZbiestWrQIb731lphdEBERERHZNVGJtkqlYusbkRXwe0dERGQ/ZO06kpmZCUdHs+fEISIiIiKyO4Kz4Pj4eK2/s7OzdZapKZVKREdH49q1a6hdu7Z5EcooICAADg7a1xr+/v7w9/e3UkRE0uFARSIiIusSnGiPHj1a64f77NmzOHv2rNHnqFQq9OzZU3x0MgsKCoKLi4u1wyAiIiKiUkhwot2iRQtNon3z5k24urqiXr16+jfq6Ah3d3e0a9cOHTp0kCZSIiIiIiI7IjjRnjt3rubf/fr1Q6tWrTB+/HhZgiIqi0wd6Dh16lTMnj1bpmiIiIjIXKIGQy5btgwjR46UOhYiMsG+ffusHQIREREZIaokSM2aNaWOg4iIiIioVDGr9l5OTg5u3LiB2NhYZGdn6731rVAoMHjwYJO3nZ2djW3btiE8PBzh4eHIyMjA+PHj0b17d631bty4gcDAQL3bmD9/Pry9vU3eNxERERGRuUQn2ocPH8ayZcuQnZ2tWaZSqbQqk6j/FpNop6Wl4d9//4WHhwcaNmyIGzduGF2/b9++aNq0qdYyWy4tSGTvOHkOERGRcaIS7WvXrmHRokVwcXHBgAEDEBISgjt37uDzzz/H48ePce7cOcTGxsLf3x9NmjQRFZi7uztWr14NNzc33L17FwEBAUbXb9GiBTp16iRqX0QkDmt1ExERGSZqMOT27dsBAD/88AOGDx+OOnXqAAB69eqFDz/8EIsXL0a/fv1w+PBh0Ym2k5MT3NzcTHpOVlYWCgsLRe2PiIiIiEhKohLtu3fvwsvLCw0bNtT7eLly5TBq1Ci4urpi3bp1ZgUo1MKFCzFo0CC88847CAwMxN27dy2yXyJLYncNIiIi+yGq60hOTg48PDw0fzs5OQF41qKsnmnRwcEBXl5euH79ugRhGubo6IiOHTuidevWqFq1Kh49eoTt27dj0qRJ+Omnn9C4cWODz83KyhK0DycnJ81rJCIiIiISQlSi7ebmhoyMDM3f7u7uAIDY2FitriLp6enIy8szM0TjmjdvjubNm2v+bteuHTp16oQvv/wSq1evxsyZMw0+V2gt8CFDhmDo0KFmx0pU3K5duxAcHIxff/3V2qGIwj7aREREholKtOvVq4fY2FjN397e3lCpVNi6dSsmTpwIhUKB27dvIyQkxGD3EjnVqVMH7du3x5kzZ1BYWIhy5crpXW/lypWaFnhj2JpNcnn8+DHu3Llj7TCIiIhIBqIS7datW+Pvv/9GeHg4mjVrhpdeegmenp44c+YMPvzwQ7i5ueHhw4dQqVTo16+f1DELUqNGDRQUFCA3N9dgMu3i4iIo0SaSSlxcHGJiYtCqVStrh0JEREQyEzUY0tfXFzNmzEC1atWebcTBAdOnT8fLL7+MlJQUREREoHz58hg+fDi6desmZbyCxcXFwdnZGRUqVLDK/on02bdvH/7v//7P2mEQERGRBYhq0a5UqRJeffVVrWXVq1fHzJkzkZOTg6ysLLi6uhrssiGl1NRUuLq6ai178OABLly4gFatWsHBQdS1BBERERGRWcyagl2fChUqaLUiX758WfRt8v/++w+ZmZlITEwEAFy4cEHz7z59+qBSpUr46aef4OzsDG9vb1SrVg2PHj3CgQMHUL58eYwYMcL8F0RkISzdR0REVLpInmirnT59Glu2bEFERAR27twpahvbt29HfHy85u+zZ8/i7NmzAICuXbuiUqVKaNeuHY4fP46dO3dqWtI7dOiAIUOGaCbSISJhlEql4LtAvDAgIiIyzqREOz4+HiEhIUhJSUG1atXw0ksvadXTBoDg4GBs3rwZMTExUKlUqF69uujgli9fXuI6/fr1s9qAS6LSpm3btpgyZQr69+9v7VCIiIjsnuBEe8OGDdi0aROUSqVmmYODA0aMGIH+/fvj4cOHCAoKQmRkJFQqFdzc3PDee+/Bz89PlsCJSB7ff/89E20iIiIJCEq0z58/jw0bNgB4VkO7fv36yM7ORnh4OFauXIlq1aph6dKlmq4bAwYMgJ+fH5ydnWUNnqissbXuGpywhoiIyDBBifbevXuhUCgwevRo9O3bV7M8PT0dc+bM0cxq1759e3z11VesTU0kk9TUVLO6YxEREZHlCBr1FBERgfr162sl2QBQpUoVfPTRR1CpVKhWrRomTpzIJJvIBAqFwuZaqYmIiEgaglq009PT8eKLL+p9zNPTEwDg5eUFR0fZipjIIiAgQKfCgr+/P/z9/a0UERERERGVFoIyY6VSabC/tZOTE4Bnk9jYm6CgILbAExEREZEsOG0iEREREZEMBPf1uHLlCiZPnizq8Tlz5pgeGRERERGRHROcaCcnJyM5Odnkx1n+i0gYqQdFqr97/A4SERFZh6BEmy3SRPYrJCTE2iEQERGVSYIS7ZYtW8odB1GptXTpUri7u2PgwIFG15OrzN+hQ4dk2S7LEhIRERnHwZBEMrt06RJCQ0OtHQYREZFdOHz4MFJTU60dhiSYaBNZEFuBiYiIjJs0aRJu3Lhh7TAkwUSbyMKKDk6054GKvGggIiIyjok2WURISAh69+5t7TBskqGEtbCwEJ9//rnexy5evChnSERERCQBJtpkEampqUhISLB2GHZFqVTi/Pnzeh87ceKEhaMhIiIiUwmuo10aBQQEwMFB+1rD398f/v7+VoqISHrs4kFERGQdZTrRDgoKgouLi7XDoDLGUomvPff/JiIiKg3YdYTIgowlv2x5JiIiKl3MatG+cuUK9u3bh/DwcKSlpaFbt24YN26c5rErV67g7bffRvXq1SUJluxXWU4iy/JrJyIiKstEJ9p//fUX9uzZA5VKhQoVKqCwsFAroXBzc8OuXbtQo0YN9O/fX4pYieyWmG4cYrt+REdHi3oeERERSUtU15GjR4/iv//+Q+PGjbFgwQJs2rRJZ52GDRuiRo0aLENGZGGFhYXWDoGIiIggMtHeu3cvKlWqhOnTp6NRo0YG1/P09ERcXJzo4IhKG5VKhdzcXLOeD5jW2l2868ry5cvx448/io6hKA64JCIiMkxU15FHjx6hRYsWcHV1NbpepUqVkJKSImYXRKXS5cuXkZ2dbdUYHj58iMePH1s1BiIiorJAdNURIS1ZSUlJcHZ2FrsLolKneJKtUChkHywZFRUl6/aJiIhIP1GJdu3atXH//n0UFBQYXCcrKwsRERGoX7++6OCo9GDlDSL71qtXL2uHQEQW0Lp1a2uHUKqISrQ7d+6M5ORk/PPPPwbXWb16NbKystClSxfRwRGReOw/TVJKTEy0dggkoXv37uH111+3dhhEpZ6oPtr9+vXDiRMnsGvXLty+fRvt2rUDADx+/Bg7duzAuXPncOvWLTRu3Bg9e/aUNGAish1M5onsU0ZGBjIzM60dBlGpJyrRLl++PL7//nssWLAAly9fxt27dwEAt27dwq1btwAAL7/8MiZMmAAnJyfpopVYQEAAHBy0G/X9/f3h7+9vpYioNLJ0txkmv0RERLZB9IQ1rq6umD59Oh48eICrV6/iyZMnUKlUqF69Ol555RU0a9ZMyjhlERQUBBcXF2uHQWUAk18iIiLhSsvYLrOmYAeeTUzTsGFDKWIhKhUOHDiACxcuYOrUqZpl6hOGKScOY8m52MeAZzNHxsfHC45D7dq1a7h+/TpGjBhh8nOJyLpycnJw5swZ+Pr6WjsUojJFdHk/QzIzM3H37l0kJydLvWmyY6XlylSI+/fv48KFC5q/iya+tvA+hISEiJpI6tKlS1i/fr0MEZV+ERER+OWXX6wdBpVhkZGRmDhxorXDICpzRCXaV65cwcKFC3H//n2t5bt27cIHH3yAb775Bh9++CH+/vtvSYIkIrJnd+/exYYNG6wdBhGVYb/++itu375t7TDKHFGJ9sGDB3H69GnUqVNHsywyMhLLly+HUqmEl5cXXFxc8N9//+HcuXOSBUu2b9SoUZwNlIhIIhkZGdYOgUqJdevWITw83NphlDmiEu2IiAg0bNgQFStW1Cw7cuQIAGD8+PH46aef8Ouvv8LR0RF79+6VJlKyCyEhIUhPT7d2GGQBttANhqi069q1K7KysqwdBhGJJCrRTklJQY0aNbSWXb9+HZUqVdJMUFOrVi34+Phw+mciI1QqFZRKpbXDICIbxnMEkf0SVXXEwcEBeXl5mr/T09Px8OFDtGnTRqsuddWqVZGWlmZ+lGT3ylLrpymv9c8//zT4mNiZ+NSDL1lS0HaUpeOfiIj+R1SLds2aNREWFoaCggIAwJkzZwAAr7zyitZ66enpqFKlipkhEtkfMZVGiq9n7CKVSTQRmYLnDLI3paWBQlSL9muvvYY1a9Zg0qRJaN68OQ4fPoxy5cqhffv2mnVUKhXu37+PunXrShYs2YfS8uWQUmn4kSsNr4GIiP4nJSUF5cqVY6OojES1aPft2xfNmjVDeHg4du7ciaysLHzwwQeoXr26Zp2QkBCkpqaiZcuWkgVLVJpJfYHCCx4iIjJm4sSJrPEvM1Et2hUqVMBPP/2E0NBQpKamolGjRlql/oBn/bhHjx6Ntm3bShKoHAICArT6lAOAv78//P39rRQRkXGOjs++sraQRKtUKrZyE9kpfncJ4IB8SxA9BbuDg4PR1uqWLVvafGt2UFAQXFxcrB2GWebMmYM6depg5MiR1g6FLKB8+fLWDoGIiIgEknwKdrKs+/fv49GjR9YOo0S20AIrp507d4qa1pzI2lQqFX744Qdrh0FEVCoJatE+evQoAKB9+/ZwcXHR/C2Ur6+v6ZER2ZHZs2dj9uzZ6N27NwD5bssKuWDhLWEyRWFhIbZt24bAwEBrh0Iy4nmByDoEJdoLFiyAQqHQTK2u/rsk6j6cTLTNp06w7OFkWdpbr22BtY4DfrZEVNTTp09x8+ZNdO3a1dqhENkkQYn24MGDoVAoULVqVa2/yXKCg4Px999/Y8OGDdYOhUqQn5+P1NRUs7djblIr9XeU33kiKu7ChQuYNm0aLl26ZO1QyE6FhISgZs2aqFWrlrVDkYWgRHvo0KFG/5ZDdnY2tm3bhvDwcISHhyMjIwPjx49H9+7dddbNz8/HunXrEBwcjIyMDHh6emL48OE6E+jYs6SkJERERFg7DEHKeqvn1q1bkZ2dbe0wyIaU9e9EYWEh0tPTUa1aNWuHQkQ25v/+7//w9ttv4+OPP9ZaXlrOmzY7GDItLQ3//vsvoqKi0LBhQ6PrLliwADt27MDrr7+OMWPGwMHBATNnzkRoaKiFoiX6n/z8fKvu31Itz+aeBHNyckrNibQk9vI6VSqVLLGeOHECvXr1kny7RES2zuxEOz8/H+Hh4Th79izOnj2L8PBwSRINd3d3rF69GitWrDBaui48PBwnTpzABx98gFGjRsHPzw9z5sxBzZo1sWrVKrPjsDcTJ07E7t27rR2GDntJNKRg7LWWpfehJF27dsW1a9esHQYVMXnyZKxYsULy7ebn56OwsFDy7RKR+fi7JC/RdbTz8vKwbt067N+/Hzk5OVqPVahQAb1798bQoUPh7OwsavtOTk5wc3Mrcb3Tp0/DwcEBfn5+mmXOzs7o0aMHVq9ejYSEBHh4eIiKwR4dPXoUWVlZ6Nu3r7VDITKqoKBA59xB1hUVFaUZi0OlC8dYkD48LuQnKtHOz8/HlClTcOfOHQCAp6cnatasCYVCgSdPniAyMhLbt2/HrVu3MGfOHDg5OUkadFERERGoW7euzsQzzZo1AwA8ePCg1Cfaxa9Gz507Z6VIyBxsVSCyjlOnTiEjI0OrwYaISAqiEu0dO3YgLCwML7zwAj799FN4enpqPf7w4UMsXboUt27dws6dO/Hee+9JEateSUlJelu+1csSExMNPjcrK0vQPpycnGS9WBDC0HTXvBq1PZb4TIztY/LkybLtlxcD4tjL+2YvcUrtwIEDePLkCRNtIpH+/vtvDB06FJUqVbJ2KDZHVKJ94sQJuLq6Ytq0aXqnMG/QoAGmTZuGjz/+GMePH5c10c7Ly9ObBKu7rOTl5Rl8rtBpy4cMGWKRSivWlpycjIoVK6JChQrWDoXMcOPGDVm2ywu90qmsJtdEpVleXp7orrti/Pnnn+jRowcTbT1EJdqPHz9GmzZt9CbZahUrVoSPjw8uXrwoOjghnJ2d9Q6+VCfYxg60lStXGn0NatZuzS6JVD+U77//Pt577z18+OGHkmyvKP6YE9kHXjyVDfycS7eOHTuytrmNEJVolytXDrm5uSWul5ubi3LlyonZhWDu7u56u4ckJycDAKpXr27wuS4uLoISbVsm5ckyNzcXSqXS7O2U9aRaqtdfFn4Iy/qxQmTvysJ5iuRXmn8LRJX3a9CgAUJCQhAXF2dwnbi4OISEhOj035Zaw4YNERMTo9PfWj1Qs6Qa3ERSk+qHpzSfeMh2FD3OhB5z69atw48//ih4H0zGzMNzAZVmhs4PpeW4F5Vo+/n5IS8vD9999x0OHjyo1bqdm5uLw4cPIzAwEPn5+ejdu7dkwerTqVMnKJVK7N+/X7MsPz8fhw8fhpeXV6mpOGJoMCRZzkcffSToi8/PiYqz5R8MMYl2RESEpjGDiGxTamoq/vvvP2uHUeaJ6jri6+uLW7du4eDBg1i8eDEWL16sqb2alpYG4NkJ28/PD127dhUd3H///YfMzExN15ALFy5o/t2nTx9UqlQJXl5e6NSpE1avXo3U1FTUrl0bR48eRXx8PMaNGyd637bGGon2wYMHERERgU8//dSi+9VHXW/ZmgM1r1+/bvZnIFXCtWbNGkm2Q1ScLVwoPn78GB999BH27t1r7VColBg4cCA2bdpk7TAs6vbt25gxYwb69OljdD1bbggoDURPWPPFF1/glVdewe7duxEeHo7U1NRnG3R0hJeXF/r06YNOnTqZFdz27dsRHx+v+Vs9+yTwbFY59ejWgIAArF27FsHBwcjIyICnpyemTZsGHx8fs/ZvLY8fP0bNmjUF92+X6ktSfDshISG4ePGiyYm2HF/a2bNnQ6FQ4Pvvv5d82yQcT8hkCWlpaVrnfpKPUqlEamqqoAni7FlERIS1Q7AJxS+kbeHCurQTnWgDz7ptdOrUCYWFhZqW7KpVq0o2AHL58uWC1nN2dsaoUaMwatQoSfZrbX379sWSJUvQtm3bEtdVKBSSJj9SfOn0xWNujFlZWTwhWFnx959JN5H9O3fuHMaNG8cKFTYkMjJS9vFtRfFcLi9RfbSLK1euHNzc3ODm5iZ7lZGyQuiBz+TTdkjdraTo9tQ/gsbqwtuT9PR0APKc4P/9919B602cOBGHDh2SfP/2rqyeU0JDQ60dAgBg69atFt2fvvK4crl9+zZ69uxpsf3ZKznnHileWaysft8tSZJEm+RnjT7avMq1HeruO7dv37ZyJNLo1q2bJNtp166dpv++2s8//yzouVeuXEF0dLQkcdgzMd9zU59jDz/mQkrWWsLcuXNl2a4tfAapqalISkqydhiihIaGSlL+1trY/dLyBHUdMXdK5zlz5pj1fLIeS52cs7Ky7L6muRC28GNXmhQWFqKgoMDaYZTIXi5a5YrT1O3ay/tVVnz22WeYP38+KleubO1QrGbEiBHYs2cPnnvuOWuHQnZGUKItZkpndd9hJhbi2OMPzaNHj0Q/t0uXLuwjaIP+/PNPDB8+nNPqUpkRHR2NOnXqwMGBN3zVLl68iMzMTL2JtjV+4zMzM3HhwgWdO2OpqalwdHTk+YpsiqBEe/78+YI3qFKpcObMGezdu9fm+5MGBATonEz9/f3h7+9vpYisy9wLo3feeUeSOJ4+fQp3d3edz8ZeLj6kGjRo7qDSzMxMUftVO3nyJP7++2/06tXLJn644uPj4eHhwYt3GbFxBOjfvz+WL1+Ol156ydqhWIS9nFeLun37Nr799ltcunQJKSkpSE5ORsOGDfHtt9+ifv36mDJlirVD1Hj8+DGqVq1qE+dQsg5BibaXl5egjZ07dw4bNmxAZGQkVCoVXnjhBQwbNsysAOUUFBRUJroriGWtBNHPzw/Lli3Dyy+/LGr/cjA2C2px+hIV9TJL/qgtWrQII0aMEP18fVV/UlJScO/ePTRp0sSc0ER58803sXnzZs72KrOynmhbwpgxYzB//nxUq1ZN0Pr2mAxbypYtW7B582YcOHAABQUFKCwstOj+/f39sWfPHoOPDxs2DCNGjDDrXEz2TZJ7YxcvXsTXX3+NuXPn4sGDB/Dy8sLs2bMxb948tGzZUopdlHnWOtFa60fX1gadFB9wZ4ycn5Ut/OBGRUVp/m3pCXzkKB1pCWJjDAsLwy+//KL5+4MPPpAqJL3s4b2UQ0nHsdABtkJdvXpVM/dEUevWrZN0P8bwgkoaT548sXYIZOPMSrQvX76MCRMm4Pvvv8f9+/fRrFkzzJw5Ez/99FOZue0mF30/eOoTY05Ojqhpky0lMzMT2dnZkm7z5MmTkm7PmIyMDJt7T61B/R48fvxY9n0tW7ZM9n3Yo/DwcGzYsEHz961btyTdvthJPMra98NYycivvvpKspJ8x44dE7ReYWGhxVtubVliYiLfDzOUte+zpYlKtK9evYqJEydi1qxZuHv3Lpo0aYLp06dj/vz5eOWVV6SOkaDdd7JHjx44d+4cANtslZg6dSp++ukna4chWteuXXH16lVJtnXv3j1Rg4ltgfrke+fOHdn3tXTpUtn3QboGDhxokR9ZU89T9vTDf//+fYu3as6YMQO///67Rfdpi781RSmVStmPG3s6LoWy9c+1NDAp0Q4JCcGkSZMwY8YMhIWFoVGjRpg6dSp++eUXtGrVSq4YqZjs7GyTujJYWk5Ojtk1aa395RczkDcsLAyAduwpKSlShUQiHTt2zCZr9169etWmShNGRkbi/v37gte39ne0JL/++qu1Q5DNkydPkJiYaNF92vrnDTyrkCZ3nAkJCTrLoqOjkZCQgIkTJ+o8Zqnk3JxznD1eQGRnZ9tN4QpBifbNmzcRGBiIqVOn4tatW/D09MSUKVPw66+/ok2bNnLHSCWwldq3xp4XGBhobjgaHTp0kGxbUtq7d6/Bx9TvSUZGhuDt2cMPmynCwsJkad0v6Tj95ptvDJaOLCws1LRGylkl6Z9//tFZNmbMGMTHx0u6H5VKhaysLJOfAwBpaWkmPU/O49PUc8/Ro0exadMmrWXm9Hc2tP+MjAy9iRbZDjmPy5iYGPTu3Vtnef/+/fHkyRMcPXrU4jGpiZ1xU8rYLJmw5+bm2k3/eEGJdmBgIEJDQ+Hs7Iz+/fvjk08+QZUqVXD79m1B/5HpbGUKdjHbl/vLZskpg6VWdCBhcdZsVTDWPcRQXKbG+88//9hcF5ETJ05oWkU6duwo234ePnwo6nmmfv9CQkLQpUsXUfuyZ6dPnzZ6oSuVVatWYcyYMYLXl+qYunDhgs0NEC8t+vfvL/jOo5Tn6IyMDJw+fVqy7cnF1AtwMUpbo1Jxgsr7qeXm5mLnzp3YuXOnSTsxdX3SZc36tnl5eXB2drboPkvbFy85OVmS7ciVjN++fVunjKc93k40lT2/xmvXrsHb2xsVKlTQLJOiS1lp++6J8eDBAzz33HOoXbu2zmPF3x/15Gz6SHWXZNKkSTh+/LhWLWZTj11zP1cxzx84cKDOnQa1Y8eOoVKlSpLdFRf7+qKjo5GZmSm41KIUoqOjsX79emzatMnoRG3Z2dmoWLGi3sciIyNRvXp1VKlSRbaW3ZSUFHTv3t1qk8nZ8/m5KEEt2i1atECLFi3g4+Oj+bcp/1HJWrdurfV38QPMWol2QkKCrC19ZcXTp08BSH+HwJKlBG0hAbOFGGzF6NGjce3aNQDPEuyuXbtKsl1beI8t/QNb/DXPmTNHp468uqqFUqmUpMKFvtcodBC2JT4jKe4cGqpq89lnn2HRokXYvXu3zmPXrl0za2yLue/NsWPHTBqrIMaRI0cMXoCoPX78GK+99prBx0eMGKFpxLx7966k8ampx5CYMo+EIRcvXsSOHTvM3o49EtSiPXfuXLnjIBtlz900jPnyyy+xaNEiSbcpJDkwJYFQr2tsYKk1LsBu3LihM/WxFKzxWkpLi0lBQYFW///t27cjOzsbQ4cOFbwNUyrt2PP7Fh0djUqVKsHNzc2k57Vr1w4ffvghYmJiMG/ePEyePFmmCC1L32eZmpqKN954o8SWTLHdCi5evGjw/R89ejSmTZuGfv36GXy+nMff/Pnz0bdvXzRu3FjUfkePHq1VrlRsrLY0s/bChQtF54FDhw7FDz/8gOPHj+PixYvo37+/tMHZAUkmrCHpWeOHTF+iU1Lik52drdP6YA8/wmfPnrV2CHZr9erVsmxXbBlBscebLbTclhSD2BgvXLiAM2fOCFpX/f6pLzxt4X0xVVpamuDj4KuvvsKqVatE7Uc9P4D6DtXTp08RGxsralvmMNZdRQpCG1h8fX1N2q7Yc0dgYKDgmKx9/KrvMhUlNCalUom1a9dKHJF1hYeHS9Z1Um316tWIjo6WdJtyKtOJdkBAAMaOHav1n7GpVKWyceNGoxMgmELuE25J/vjjD4wbN07y7Vr7ZCkVe7joMKSk2FUqlaTlC029e2LJWu0JCQkmdReYPHkyNm7cKGNE1mfsOyp28KcYubm5CA4Otsi+ircypqenW2S/pcWFCxe0/lafYyIjI3H+/HmDzzt48GCJLbxS/WY8efLEahNo5eXlYcGCBaKf/8MPP0gXjEBFvwOW+t3+7bffJJ+8S04mDYYsbYKCguDi4mLx/Z4/fx4nTpxAly5dUKdOHUHPMfTlMyfRzsvLQ25uLqpUqWJwnZK+OAUFBRbrXmKPSas9xqxWUuyWmMjGmJL6OOqjVCqRl5enNYBQiN69e2PRokWCS0uGh4fDw8PD5PgMOXfuHJYsWaKzXN9YDlvw7rvvmjWASkwXK302b96MAQMGyB6DFEypqS4moTG34o/USZSDw//a+Xbt2oVjx45h27Ztku7Dnhk6/g4ePIiLFy/qfWz37t1mldLNzc3VWynO2HehW7du2LJlS4nrlWVlukXb2h49emTV/a9btw4jR440+LgUfWZjYmIsPmnLkSNHsGTJEpsshyX1j5U1W/7FvL/WGtiptm/fPgwaNEjUc615PD19+lS2FpzHjx/Lsl1bEB4ebvY21N1EjJHi2JW7T649tQBami3VhC9JRESEZmZoqYWGhmL06NEmP099t+/w4cNG1yuriTgTbSs4ceKEtUMA8OzEnp6eLuvsdOPHj8fKlStNfp45J76QkBAcPXoUbdu21VpuymQxUjPn9Vj75KRv/8uWLTP5dr2+98DSry0jIwMxMTFG1xkyZIjscWzdulXS7ZlzfA0bNkyybdkLU467mzdv6l0+duxYqcIRRf0ahHbTsfR3Tcj5QWyNfn2P2/Jxa6nYiu9HXe6zpLuPht5vUxvJ/vzzT4Pbt+XPR25MtEu5goICvVP1pqam4u+//0ZiYiLmzZsn6T5t9UvVtWtXixTfF0uKkmFyUJ+Ei36mtjTxjNQJhNSlsvRVjVH3L9f3Pdm/fz8iIyMFbdtaU7hb++LPHPreczHnq+L9jU1lzntYtMvgu+++K3obQuIo6YLC0Pvw7bffCtp/UVLc/bRW6/T48eM1/75//z6mTp1qcF19MSYnJws+JtTrCZkVFzA+UZqx92vw4MGC4iHjmGjbKJVKhY8//tjs7bRv3x69evXSWV50mmb1iGAxVUfsTUFBgUUTWlN+TNWfibETtCWpYz958qRZ/f5M3Z8xch2PQkbFi02MTB0wN2/ePKxYsQKZmZklrvv1118bvFOjjlepVOrU6de3ninMSRL37dtn9IffVEITRjlJsW9rxV/SftVdTgx993bt2iVZLN27dzf6uJDvqbV+s1JTUzX/fvToEfbt2yf4uU+fPkWPHj0Erat+fVJdMAphjTuP1tivXJhoW5G+gygsLEzz7ytXrhh9vlQTVBhSUst0fHy8bPs294Rh6Av6ww8/4NdffxX9fLEUCgUmTJig6edrrBuL+gRt7YucoremhZaKs1dCf+SEMvf42bt3L44dOyZo3YKCAqP9x+X6sRJ7fM6aNcsuymuaWxf/1KlTku8PeNYdwBp3MkJCQiy+z+Kk/p7aClscTyQlfXc9cnJy8N9//+ldX8h3x9q/j6YwO9FOTEzEyZMnsWPHDuzYsQMnT57U21WB9Cve0jR8+HDBz7VEn2NjB/Obb76JnJwcnWmfxf6wF21pNtSf19wWjfj4eEGDm8TQ18WiqOPHj2v+LWQg7Oeffy5NYKRhyrFpT6XbzJlAyNBdrMjISIM/hNZ05swZXL9+XdC6hr6Llmgp++qrr2TZ7rhx43DlyhVZp2DXt22pq0s5ODjI8jno26a/v7/k+xFKrtdoShdNQ32nhTpy5IhZz1dfWEdERGgm0YqJicGMGTNM3patdrE0RnR5v9TUVPzxxx84d+6c3gOpY8eO+PTTT+Hq6mpWgGWVVOWt9NmyZQuaN29u8PHMzEwcPHgQQMknZylvG/75558l9ge0dJH6S5cuoXLlylrl4EpKqIt+HuacZNUXrLZ6S7m069atW4kl6jIyMuDg4IBbt25BqVRqDcAV2+JS9HmmbkPKbiBnz57FL7/8gj59+uh9jqFWVWMzmRaVmZkJR0dHlC9fHgUFBXB0/N/PkbHXsWzZMjRo0AAvvfSSoP0UJ0VLmBTbGDBggKgSiEW7KKjl5OSYXLLS2oyVphWT6Bv7TJ48eaLZrnq9o0ePao4huVtHhW7f3HOuof08ePDArO1K6d69e3qX37x5E0qlUqvsoz43btyQIyxZiWrRzszMxKRJk3DmzBk4Ojqibdu26NOnD/r27Yt27drByckJp0+fxqRJkwT1MyTx1F+sDz/8UPBz5s2bp9VFpfiX89GjR5gzZ47omNLT03HgwAFs2LDBpOfJcTt54cKFZrXE/Pbbbzp3Gfbs2SOqBJIULJn8Fr2gyMjIQEJCgtH1t23bZvLdAlMvSjIyMvDmm2+WuN6KFStMikOsKVOmYP78+di4caOsM7pJPWDZXPv27dPblSA2NhadOnUq8fmRkZH46quvNINq27dvr5WgS3WcF93OjBkzsH//fkm2aw3GkrXLly/rXZ6enq45H+tL0AHT3+usrCzZx5FERUXpdB/o2bOn5t/GYhaa1E6cOFHzvunb3muvvSZoO8bk5ORojYcCnnUTKd4qq2//Uje2GftNN/f79vXXXxt9XMj2z549a/AufX5+PmJjY2W7Gy03UYn2li1bEBMTg06dOmH58uWYPHkyxowZg9GjRyMwMBDLly9H586dERMTI3kZK9LPUAkqIYr2tS56kjK3a8rRo0dNWr+ksmtirFmzRudEZwp9feeePn0quCqEIenp6WZ9ZlITciIsqUbqDz/8YLRWr5jJleLj47U+g5ycHJ2xAfo+C32TuxiKyVR3797VHFO5ubklXshJcYu/aPes3bt3m7Q9c5V0nCYlJWn+LaQWtEqlwqZNm5CZman1usT+2Av9DC9evIgpU6YI3q6cdxWLPk9daUNMSTs1QwPvZsyYge+//x6TJ0/W6eInxJ49e3QG36Wlpend39OnT/H333+btH11d8DiF22HDh3C7NmzUVhYqHl/ip4Hir4Xcg3gz87O1huvKfTdgV2zZg0WL15c4nPV+8rPzy+xO676zoix126oj70U71dsbKzZ2zCmQ4cO+O6772yq2pUpRCXaZ8+eRY0aNTBhwgS9XUNcXV0REBCAGjVqlPpBVOYQ+qWVYkKJI0eO4OTJk3ofUydHxeM5cOCA2fu1FrEtHuYk0Pq6lBg6QR47dkznLoStd9Uw94Qs5vlvvvkmrl69anSd0aNHG0wi1D8AUlVNSU1NxZAhQwTXwlcqlXoTcfVnPXbsWDx8+BAXL17UmUhHpVLpvYtw+PBh9O/f3/TgDTCUqKhjXL9+vdHn9+zZ06SLckse5/qOOX3nU33r6ZsSXL2esX6ipiS0V65cKbHShiFF30dDLfWmVFkqOn23etsJCQkGv7fFX2dkZKRJfYHV2z18+DCuXbum83h2djaCg4Ph5+cneJvAs4ZAIWN5rKV4bCEhIUYHQ+7Zs0fr+67v81i3bp0ksRXdttRlTssyUYl2QkICmjdvrtWnrjhHR0c0b968xNvN1hQQEICxY8dq/bdnzx6L7X/cuHEGHyvaYmDolp+akB+ubdu2iXptJfWXMlVcXJyg9YomoUK7fqirLxQ/EZnyw25qK3xJ9LWKmMNS090XJSYxOnXqlN6ScmLi17f/4j8CnTt31lnnzp076Nevn+bvkJAQnbsm+qYbNuaNN94QtJ465nXr1uGLL74wuN6jR4+QkJCAxMRE3L9/X+uxmzdv4vfff9f7vJLGKhw6dMjsOs9q+fn5+Oyzz4yuo66AZOsXi4D+76S+BiFjVZWMJUadO3cW/LtX9Ptgag1lqRWd/lxIy7S+75yUsrKykJeXJ6rCipwVsYQwpZV91KhRmos/fZ9tQUGBzp0iQ3W0pfy9EXMHBADeeecdwb/zxalUKuTk5AhqKLOnqiOiBkM6OzsLmvgjLS0Nzs7OYnZhEUFBQXBxcbF2GJqTdtFyfYcOHdK7bvGC/tY62FatWqX1txR9pwy9lg4dOgAo+Qdm1KhReOutt/Q+9tdff5kXXDGpqak4c+YMOnbsKOl29Sn6uo8ePQpfX1/Z91l8v6bS180kMTER165dM9pS8ssvv6BevXparbt79+7VSdqFnH927Nih9feoUaO0/pbju5Obm4vy5ctr/k5JSdEMxBJKHdeWLVtM3n/R0pVSJWS5ubm4ePGioHUN7dNQzV9bScxNrZRVUu1uObrBFX8Pi49p+eqrrzB69Gj4+PiYtF19CdX27dsBPOs+aOrU8EqlUlCia+xixFLHhfq3t6RzgRQViNLT09GtWzfBlcVKeg+kOn8VFBQIGh+1YcMGtGnTBk2aNAHwbFBj48aNddZ79OgRUlNTUatWLb3bKel1DR48GM8//7ygde2FqObKJk2a4ObNm0Z/MO/du4ebN29qPhQybO7cuQCE9YnWdxtQSOmd4gesocFV6enpgpKY4i1tQm/HAs9ep7Hb6WLFxMQYPCGqE21j+zC1NaD48a/vzoO6NUbISVHI/qU+8Zw7d07wvsw9sat/sI1NVnL9+nXcu3dPaxC1lJVt1PLz87X6Fhtj7D0qrlOnTiXegTLG3NJVERERZj0fkPfi3djEOYDxGe+io6MxcuRIneXF47XGgCl1vOoBnaYOllapVCaP2SheaODUqVOC+soWT4KNlVhbtWqVyS2bN2/e1FupprjCwkKoVCpNqVMpz21Cj2FDDVrFmXrnSx9j1Xj0vXZDd02k/n7Gx8frHcdUPKaFCxdqdeMbPHiwwWOjeD5QvBThnj17DN6pSEhIKHVFNEQl2m+99RYKCwsxZcoUrF27FlFRUcjNzUVubi6ioqKwbt06TJkyBUql0mALI/2PuvVAn8jISMkmJyh6oBs6qa1YsUKrfrO+riO//fabzjJ9P4CG9vXRRx/p7VNmzZkBAWlGmQPaMf788886ywz55ZdfJNm/KVavXq35d0kjx01tmRXCUNWR119/XfJ9FWVKFxb1dOklUccvJFk2dKzLPahICEvNtJidnY0tW7ZoLmTOnDmDd955x+C+k5KSNKW99D2uHmsipE+vSqXCmjVrBJciFEpIxRV9CgoKdLoSLl++XOtvcwZcFlVSYjtt2jSj2yvpXGbq5CsPHz40uA+pj8Hi2xN6YaoeSCj098fU32x9r3PIkCEmrS+WHL+p6qnfiyoa8/Tp0zV91Y21pktVKtfaRCXarVu3xvvvv4+cnBxs3rwZX3zxBQYOHIiBAwfiiy++wKZNm5CdnY3hw4eX2IJBxr333ntapfgsTd+gktOnT5u0jeIttffv3zf4A1c0AVqzZo3RKhbnzp0TNPGLKS0yxb/MxbvqSEXfyU3q/tymmDNnjsHBsqaQ4qSt/gzUd3qsqejnb6jaR0REBIKDg7WWqRO5sLAwQT8Q5iR8xvqAA//7TDIyMvDvv/8CkG/SB1N+DNXfXXXf9JSUFEFTs6tfT0JCAtLS0ozOkGvseFy4cKHBsnglscSP/h9//KGz7N9//xX8HVMqlSafq4GSW2+Ld8mSipDPXk3feVlM/XmhFwXqahdCP3d1txh96xuqIw3of+/F9ncuzhI1+cUo+vqEdJexp77ZaqJHug0YMAA///wzunbtipo1a8LR0RGOjo6oWbMmunbtivnz52PAgAFSxkoy03eQm9o/z1Rz5szBjz/+CODZl6hoNYdly5YZnYZ+9uzZ2Lt3b4n7MFYKCnh2q3nz5s16n2vsJCf1F96UyRukYmzCDLn2a+x9K/qYqVNYm0LoaytaEcJQFy31rXh9k0IYu1AsatGiRZq4TB38LPRCPDo6WnOHpV27dkbXTU9PF/X5G7pTYGxbRfuVm2L8+PH4448/9F6k6Ls7pC8GYwPS5aKeDMxUCoUCP//8s9brCAgI0Fqn6GPGLqbS0tKM3oU0RooLcnPJNQW90AtQoX22P/nkEwDPxoOp6euKph64/H//9386j61atcrgrMlyJp3Fvy8FBQWYP3++5NudM2eO4PfdXlu1Rc8MCQBNmzYt8XYzmc/Yl9qUGaesdSVoaL9//fUXtm/fjhdffFHQds6cOYOPP/7Y5P0b+nLu2bMH9+7dw5o1a0zeJlDye//999+L2q4lGWrRmTp1quCTWl5ens6gZzEnRKlPopY43ovGrO+iTOgPsjm13o0pLCzUvA+mXDR369bN5O4769evN2veBCk/L3W/fmtcLOrz1VdfYcGCBQD0l5osvj2hiaSYWvwKhUJUFyU5SuaZMnhWzdDdH0MNKuqGnJJERkbivffeE7TukCFD8N9//xl8vGjNcSFMnWBLpVIZfO/++usv2aacN7VbkDH6urLqK/NYfH25LrLkJKpF++jRo4IGB4SFhUleLq0s0lfc/ttvvwVgWqJ97949oyeHkmRkZGDo0KGCf7xK6mdXvBKIKT+K6u4g9+7dM6nl89atW5ov6qVLl3SSbCl/mMPDw01aX8hnaakr+qLlJUuKS+igQkPbK1rxITQ0VJK68VLS954bm/hEyGdU0l0WqaxYsULT57Z41ZWSqFunhdbIDgoK0tvfVgwhg7OMKWkwlaFt6auuYqwFUWjCeurUKb0XYoY+e30VObp06SJoX+YoLCw0OF230ITVFGIm6TF0UWroODU0mU9RCoVCUJKtvhuRkZGBuLg49OrVq8TnyEnf+/PXX3+ZdAGmPgbv3Lkj27no9u3bgsrufvPNNwYvpNTdhcQ0tlmbqER7wYIFgm5/HTp0CAsXLhSzC5JBRESE5hZ1cb/88kuJP07Z2dkmJ4/FGTuxFm/9MxbPvHnz8OTJExw7dkxzW07oD7E6sdNXZ9iUlkVDJyV9V/1yzV5mCSW9r+ZU2QB0W8r0TRQilNABpaYkbSX1HTX1s/znn38MxiNkkihT9hcTE2P2d9bQjHJCZGZmIjs72+T3yFiXDjkvNkNDQ40+Xnzf6ju6Qu6KWbolzlAFF2OfhRzvbW5urtFzuamDrJ8+fapV9cpQ6UghTC3DuHPnTs2/MzIyTC4LKSVjr9GUlmf1dmbOnGl2TFLRd1Fa/LMyVDnNFkk7G0kx9tqfRk7mJiVCmXoC2LBhgyxxREZGalVVUQ8+KnpsmFKOS50IX79+Xe/j6pNG0UGShn5o9J3g1UmfOceu1JUMrEXIQFMAGDZsmKYFrvjMcFJPT27Mtm3bJDuOTUkuTR3HYOhiF9B9/6xByovAyZMna/qFC1W8EcdY6VBL1Bouug2p79Cq4xcbZ/G7Sbb4m7tkyRJMmDBB72MqlUpnoqaSPHz4UO9vhimv3VgXheL0zdwp5vPatGmTyc8xxFaqjhiLo6CgQOtxY63sxWNQj3spLCzUqr5ii8e3ELIm2nFxcTYxIYwt6dmzp0X2U7xkjrFBb5akr5ySsduvxb9YY8eONbquvpOGKV9OoYPXAPEzZwG6n49KpRLU4lX8tbRp00Z0DFJSD2ZRD8xTfw5///230drIRZl7Ei1+IhfzA6KOYeXKlYLWT0xM1NtaZ2qlADl/QErqzlF8IFJJ75sp/Xuzs7N1LjxLGvhUvBJI3759ddYx9F03tw9pSd9BY1WIStq3sc9Yjjte6oGSRQeYS8FQbIYaP7Kzsw3eKSxercccRe8qGIpR/RlMnz5d8HZLqnBibD9FCWm5N+WuR0ZGhsGqMkKOnzlz5hiNydxzUu/evbXuThprvDC0r8mTJ2vNV2Fr3QqFEjwYsnhLUUREhMHWo8LCQsTExCA0NBQvv/yyWQGWNlKX1dI3dbBcTD3561tfnYAYupUo9HZQ0dv5Yic8MDYz3bVr19C+fXujz1+6dCmGDBkiqixf8dbi4OBg2UoJWlrRRGzFihU4ceJEibd6S1K8Koy+Oq3Fibl7ZOrUzfr6s+bm5pbYym3OrIimPE+pVIo+5xjaT9Eyh4aq9ZijpEF3xo4fQxVMEhMTtT5bQ4NU1WXcxGjbtq3e5er3MTMzU9DkYkDJtawNyczM1AxONjTRkrH3z5ypy0uaPVToYEqFQmG0S4ehCxqhF8dSMfXOpZDvbUndN1etWqV1B8BQA9qdO3d0lhX/3Ldv344333zTYHIvJF5jgz2Tk5MtMvHM3r178eabb8q+H3OYlGirfxwUCgUePHhgcNCEmqurK95//32zg5RLQECAzoQs/v7+so3YtaScnBzJW8mkLPVn6CLN3JHtUt32XrFihd5jNyIiQitpXLVqlcETfNHW8ZJ+wIxVpyjpc1RP4mErFi1apDUN+b179/D222+jWbNmAMR9RsX7GQup5rF//36DjxkqU2WoVrYphLSqFv1Ms7KyTEqGTbkgM7ZdKfoMlzSznvp1mtKVTV93o7Nnzwq6O1r8vLJ161b07t0b1apV01ouVx1xfdT7Cg0NNVgbvnjcxsqaGjN37lwkJCTg008/FfX8fv36iXqeMSqVCkqlEj169BC8vjFCZoo1NDlbly5dRNUW17f9ESNGCNq/lJYsWQIPD48S1zMlwVXHKvS8MnXqVMyePRuA8IHS+kiVnyxbtqz0JNrjx48H8OzN+e233/DCCy8Y/OI4OjrC3d0d3t7ecHJykiZSGQQFBdld15Z3331X0Hrz5s3D888/L+m+lyxZYvY2xNaQLUlBQQGUSiUWL16MunXrGl1XzElQnSiUFL+h5EWOWRXVjLXCSTHpi6nv16FDh9CtWzetZdnZ2QZvLQ8ePBiAZfvf7dmzR+9yU1o0DX3W27ZtMykWU0ukmtK9SR91glDSuSQyMlLv8r///tvkfQq566Ov37W6otCXX36JZcuWaR4XWjYReHb3q2rVqqaEWyIxdxL1HXPqY6j4LJDmKKlL2927d9GyZUvR2y+pW4aU9G2zaCvq7t279f4uPXnyBFeuXNE5xtWt0KYOgpSCue9PXl6e4G0IvZC8fPmy5vMUejdj3759mkTbFgb1P3r0CDdu3DDrmJab4ET7jTfe0Pz76NGjaNWqldYysgxTriD1/RiZ04ql/rEUepKSol+40BPLnDlzNP0AhZYYK+n2vb4f/OKK9zE0ZWBn8ViEKv5DWjTO4lU3zKlrbA5jfS+FvlZbOIkbY2igpylJoDWoK2sY+h6r33cpBvWa008eeFZ/uriifT2FNOTMnDkTlStXNjkOqajvrOjro6oesyLlsV7SOfOnn34SPXeAse0bStTM6T6g7+5Q0QtNQ5Uybty4gT///FNww5Qh77zzjlnPL8qcMT3Asz7PQufDKFodxZjU1FSzLpyuXr0qaD/6FL17aG71lvv375eORLuoH374Qeo4SAbr16/XWSZF1RNbrKohNsEtztRWh+Ktfn369BG1X1N+aPXVVVeTo3qMLSW8lopFTL97NXsdGV+cua+j6EW9KTXiTblQEVovuHgDhSU/oxkzZlhsX2py3Tk0xlAZzIMHD8Lb21vUNsU21hg73vSVuzR0l8hQ5SUxv6PmDvxU79Oc8R1qRbtomjPTpDkl9sQcoyWVWrVVslYdIesy9wq6OGuM+JWi3JkUg86KliiUQ/ETXNFkWn3LXK3452rKbdDo6GgR0UlL6Mnc1ModUg4mFRJj8c9FTcxsfXIRc2GivjVvbgWPpKQkk8rXqRNsa9zWtxa5En6pGh70seSFtxx96detW6ezzNRzTUlKKmtqDUUbyIT0lzd2bFor4bXXqiNMtEsxcyeqkHt7QthK67k5gz6EKH51X3SAZdEfhmvXrukkQKYkJurye6VRSZONmKKkCgqA/olngGeDP+2Z+kdUSKudkGNPaGL222+/ATD/NnJpZ04ZQTU5L7j37t0r2bbEXoioj7n09HRBXVekvuCRupGrKLEXOkLnRRDi7bfflmxbZYGoriO25saNGwgMDNT72Pz580XftiL7IWaUdUknLEteWAgdXJWQkCC4/50+UtfUtSVM0HTdvn3b5OcYu6gsfitfyCBfe+5Kk5GRYVNdpwDDg1RN8d1334l63uXLl0u8ADN1MLCc1LMGlyZSdB0pvj2SV6lItNX69u2Lpk2bai2rXbu2laIhSzJWDP/48eOitvnZZ5/pLDPUXcAeDB8+HJ6eniY/z1KzmYotSUaGCR0YXJSxcpH6JpwyJDs726Jl9ORw+fJlnRKwtk5dgUkOn3zyiajnWTqZM7Y/QxWHpGQvcyJcu3ZN67369ttvNf82t9Qu/U+pSrRbtGiBTp06WTsMsjELFizQ+tueW9jMERYWZhNdR4qe2I1NeKCPLfV/JuOGDRuGnJwc1K5d2yrdzuzBhQsXAEibiEo51bdUDM0MWRKx74s6SRR6B0/q34SNGzdKuj25FL/jlZSUpPm3FHcIy+pvbXH2dakugKmTP5AwtjKFO0nHWt+ToiffWbNmmfTcRYsWSR0OyUTdT1WhUGDfvn1Wjsaw1q1bG3xM7pbYolNUl2Zi7qwA4t9/dalBS92Ns6TiXUeKzsQrpaJTn5N5SlWL9sKFC5GdnQ0HBwe0aNECI0eO1OlKUprJOR17abqtb+zkXZauwM2pgWqP+yXziamJbO/fKWv2YRU7Q2RpIfbYETrVvVrxu562LDo6WmumUzlm8wSE1+KmkglKtIXOGGRIzZo1zXp+SRwdHdGxY0e0bt0aVatWxaNHj7B9+3ZMmjQJP/30Exo3bqz3eUJvZzk5Odn0DJdq48aNs3YIdoGJ9jPWukthqFqHMXKXV7QUY9PC2wNjNdwNycvLkyES8wj9nlsqyTbUp/fnn3+2yP7JvpSl36nSQFCiPXr0aLNOOHJfGTVv3hzNmzfX/N2uXTt06tQJX375JVavXm1w9qiRI0cK2v6QIUMwdOhQSWIl26Gv60RZGgCyefNma4dQ5kyZMsXaIVjc0aNHJdnO6NGjJdkOABw6dEjQevHx8Xjuueck26+p2Led7NmkSZOsHYJNEJRot2jRwu5KwNSpUwft27fHmTNnUFhYiHLlyumss3LlSri4uJS4LXtozSbhjI3IL419+gyR8jt97NgxybZFZCvmzp1r7RCIyM4JSrTt9WRTo0YNFBQUIDc3V29C7eLiIijRptLl2rVr1g6h1OEtbiKSmjWmkrcHZalBqDQodVVHioqLi4OzszMqVKhg7VCIbI691HolIiIyZNWqVdYOwahSkWjru7p78OABLly4gFdeecXuJhwgIiIiopJFR0dbOwSjzC7v9/DhQ8TGxiI7O9vgOr6+vubuxqiffvoJzs7O8Pb2RrVq1fDo0SMcOHAA5cuXx4gRI2TdNxERERGRPqIT7WvXruGPP/5AXFycwXVUKhUUCoXsiXa7du1w/Phx7Ny5E1lZWXB1dUWHDh0wZMgQ1KlTR9Z9ExERERHpIyrRvnv3LmbOnAmFQoEuXbrg4cOHePjwId59913ExcXh2rVryMzMRPfu3eHh4SF1zDr69esnW9F2IiIiIiIxRCXamzdvhlKpxIwZM/DKK69gwYIFePjwIT744AMAQEZGBhYvXoyLFy8iKChI0oCJiIiIiOyBqFGCYWFhaNSoEV555RW9j1euXBkBAQFQKBRYu3atWQESEREREdkjUYl2enq6Vt9nR8dnDeM5OTmaZU5OTnjhhRdYs5iIiIiIyiRRibarqyuysrK0/gagMzAyLy8PmZmZZoRHRERERGSfRPXRrl27Np48eaL5u1mzZlCpVNi/fz8+/fRTAEBsbCxCQkJQq1YtaSKVQUBAgE6NbX9/f/j7+1spIiIiIiIqLUQl2q1bt8bq1asRFRWF559/Hq+++io8PDywb98+3L17F9WrV0dISAjy8/PRo0cPqWOWTFBQEKdgJyIiIiJZiEq0fX194eLiAqVSCeBZf+ypU6fixx9/xN27d3H37l0oFAr06NGDZfeIiIiIqEwSlWi7ubmhd+/eWss8PT3xxx9/ICoqCpmZmahdu7am7zYRERERUVlj9hTsxT3//PNSb5KIiIiIyO6IqjpCRERERETGiW7Rzs/Px/HjxxEaGoqkpCQUFBQYXHfOnDlid0NEREREZJdEJdqJiYmYPHkyHj9+DJVKZXRdhUIhKjAiIiIiInsmKtFesWIFYmNj4e3tjf79+6Nu3bqoWLGi1LEREREREdktUYn21atX4eHhge+//x7Ozs5Sx0REREREZPdEDYbMz89Hs2bNmGQTERERERkgKtFu0KAB0tLSpI6FiIiIiKjUENV15N1338WPP/6I8PBwNGvWTOqYLCYgIAAODtrXGv7+/vD397dSRERERERUWohKtBs3boz+/ftjypQpeOutt/Dyyy+jRo0aBiuM1KxZ06wg5RIUFAQXFxdrh0FEREREpZCoRHv06NFQKBRQqVTYtGkTNm3aZHT9nTt3igqOiIiIiMheiUq0W7RowfrYRERERERGiEq0586dK3UcRERERESliqiqI0REREREZBwTbSIiIiIiGYjqOrJhwwZhG3d0RNWqVdGwYUO7LgNIRERERGQq0Yl28cGQKpUKALSWq1Qqzd9169bFl19+iebNm4uNlYiIiIjIbohKtMePH487d+5g//798PDwQMeOHeHh4QEAePr0Kc6cOYP4+Hj4+fmhRo0aCA0NxdWrVzF9+nT88ssveP755yV9EUREREREtkZUot2gQQMsWbIEgwcPxqBBg1CuXDmtxz/88ENs3LgRW7Zswbx58zBw4EDs2LEDK1aswNatW/HVV19JETsRERERkc0SNRhy3bp1qFOnDoYOHaqTZAOAg4MDhgwZgjp16mDdunUAgLfeegs1a9bEjRs3zIuYiIiIiMgOiGrRDgsLQ6tWrUpcr0GDBrh06RKAZ323GzRogKtXr4rZpSwCAgLg4KB9reHv7w9/f38rRUREREREpYWoRLuwsBDx8fElrhcfHw+lUqn528nJCc7OzmJ2KYugoCC4uLhYOwwiIiIiKoVEdR1p2rQp7ty5g5MnTxpc5+TJkwgLC0PTpk01y+Lj41GtWjUxuyQiIiIisiuiWrQHDx6MqVOn4ueff8ahQ4fQqVMn1KhRA8D/qo5cu3YN5cqVw5AhQwAAKSkpiIiIgK+vr3TRExERERHZKFGJdsuWLTFx4kT8/vvvuHbtGq5fv671uEqlQuXKlfHll1/Cx8cHwLPuJhMmTEDjxo3Nj5qIiIiIyMaJSrQBoGPHjnj55Zdx6tQp3L59G0lJSQAAd3d3NG/eHJ07d9bq/1y9enW89tpr5kdMRERERGQHRCfaAODi4oKePXuiZ8+eUsVDRERERFQqiBoMSURERERExglq0VaX8qtevTrKlSsnqLRfUTVr1jQ9MiIiIiIiOyYo0R49ejQUCgWWLFmCunXrav4WaufOnaIDJCIiIiKyR4IS7RYtWkChUKB8+fJafxMRERERkX6CEu25c+ca/ZuIiIiIiLSZVXXE3gUEBMDBQXs8qL+/P/z9/a0UERERERGVFpIm2nl5ecjMzETVqlVRrlw5KTcti6CgIK1a30REREREUhGUaGdlZSE6OhqVKlVC3bp1dR6PjY3F0qVLcePGDSiVSjg6OqJdu3YYPXo03N3dJQ/aXqlUKmuHQEREREQWIqiOdnBwML799ltcvHhR57Hk5GT83//9H65fv47CwkKoVCrk5+fj9OnTCAwMRG5uruRB2ysm2kRERERlh6BE+8aNG1AoFOjatavOY//++y9SU1NRqVIlTJkyBZs2bcKCBQvQpEkTPH78GPv27ZM6ZrtVvD84EREREZVegjK/yMhINGjQANWqVdNarlQqceLECSgUCnzwwQdo27YtKlSogEaNGiEwMBAODg44d+6cHHETEREREdk0QX20U1NT8eqrr+osj4yMRGZmJsqVK4cuXbpoPVa9enV4eXkhKipKmkiNyM/Px7p16xAcHIyMjAx4enpi+PDheOWVV2TfNxERERGRPoJatHNyclBQUKCz/N69ewAAT09PvdU7qlevjqysLDNDLNmCBQuwY8cOvP766xgzZgwcHBwwc+ZMhIaGyr5vIiIiIiJ9BCXarq6uiI6O1ll+69YtKBQKNGvWTO/z8vPzUalSJfMiLEF4eDhOnDiBDz74AKNGjYKfnx/mzJmDmjVrYtWqVbLum4iIiIjIEEGJdrNmzRAdHY0LFy5olqWmpuLs2bMAYLCLxqNHj2Qv73f69Gk4ODjAz89Ps8zZ2Rk9evRAWFgYEhISZN0/EREREZE+gvpo9+nTB+fOncO8efPQuXNnuLq64syZM8jOzoaHhwfatGmj85y4uDjExsaiW7dukgddVEREBOrWravTdUXdyv7gwQN4eHjIGgMRERERUXGCEu0XX3wRQ4YMwb///otjx45BoVBApVLB2dkZ48eP1zsLpLqsn9wDEpOSkuDm5qazXL0sMTHR4HOF9h93cnKCk5OTuACJiIiIqEwSPAX7kCFD0KZNG5w9exapqanw8PDA66+/jlq1auld38nJCX379kWrVq0kC1afvLw8vUmws7Oz5nFDRo4cKWgfQ4YMwdChQ8UFWMylS5ck2Q4RERER2TbBiTYANGnSBE2aNBG07vDhw0UFZCpnZ2fk5+frLFcn2OqEW5+VK1fqrZZSHFuziYiIiMhUJiXatsjd3V1v95Dk5GQAz0oMGuLi4iIo0SYiIiIiMpXdzwnesGFDxMTE6PS3vnPnjuZxW5Gfn4/169frbYEn0ofHDJmKxwyZgscLmYrHjGnsPtHu1KkTlEol9u/fr1mWn5+Pw4cPw8vLy6YqjuTn52PDhg08OEkwHjNkKh4zZAoeL2QqHjOmsfuuI15eXujUqRNWr16N1NRU1K5dG0ePHkV8fDzGjRtn7fCIiIiIqIyy+0QbAAICArB27VoEBwcjIyMDnp6emDZtGnx8fKwdGhERERGVUaUi0XZ2dsaoUaMwatQoa4dCRERERASgFPTRJvPs2bPH2iFoMBbbZ0vviy3FAthePLbClt4XxmIfbOm9YSy2z9bfFybaZZwtHaCMxfbZ0vtiS7EAthePrbCl94Wx2Adbem8Yi+2z9feFiTYRERERkQyYaBMRERERyaBUDIYUKyAgAA4O2tca/v7+8Pf3t1JERERERFRalMlEW6VSAQC+//57vVOwF59lUirq7cq1fTGUSqXNxMNYdNnaMWMr7wtgW7EAthMPjxnDGIsuWzteANt5bwDGoo+tHTPWeF/U+1Pnk8YoVELWKmWePn2KkSNHWjsMIiIiIrJTK1euRI0aNYyuUyYTbaVSiaSkJFSsWBEKhcLa4RARERGRnVCpVMjOzoa7u7tOF+TiymSiTUREREQkN1YdISIiIiKSARNtIiIiIiIZMNEmIiIiIpJBmSzvZw35+flYt24dgoODkZGRAU9PTwwfPhyvvPKKtUMjiYWHh+Po0aMICQlBfHw8qlSpAi8vL7z//vuoW7eu1rqmHBdC1+WxZv82btyItWvXon79+li8eLHWYzxmqKh79+5hw4YNuHXrFvLy8lCrVi306tUL/fr106zDY4bUYmNjsXbtWty6dQvp6enw8PDA66+/jrfffhsVKlTQrMdjRjps0baQBQsWYMeOHXj99dcxZswYODg4YObMmQgNDbV2aCSxrVu34syZM3jppZcwZswY+Pn5ITQ0FF999RUePnyota4px4XQdXms2benT59i8+bNWj96RfGYIbUrV67g22+/RWpqKgYNGoSPP/4Ybdq0QWJiotZ6PGYIABISEhAQEIA7d+7A398fY8aMgbe3N9avX4+ff/5Za10eMxJSkezu3Lmj6tOnj2rr1q2aZbm5uaoxY8aovvnmGytGRnK4deuWKi8vT2tZTEyM6u2331b9/PPPmmWmHBdC1+WxZv9+/PFHVWBgoGrSpEmqsWPHaj3GY4bUMjMzVcOHD1fNmTNHVVhYaHA9HjOktnHjRlWfPn1UkZGRWsuDgoJUffr0UaWnp6tUKh4zUmOLtgWcPn0aDg4O8PPz0yxzdnZGjx49EBYWhoSEBCtGR1Jr3rw5nJyctJbVqVMH9evXR1RUlGaZKceF0HV5rNm3mzdv4vTp0xgzZozex3nMkNrx48eRkpKC999/Hw4ODsjJyYFSqdRZj8cMqalnM6xWrZrWcjc3Nzg4OMDR8VlvYh4z0mKibQERERGoW7euznTvzZo1AwA8ePDAGmGRBalUKqSkpKBq1aqaZaYcF0LX5bFmvwoLC/Hnn3+iZ8+e8PT01LsOjxlSu3btGlxcXJCYmIhPP/0UAwYMwKBBg7BkyRLk5eVp1uMxQ2otW7YEACxatAgRERFISEjAyZMnsW/fPvTp00fTXY3HjLQ4GNICkpKS4ObmprNcvax4fzoqfY4dO4bExEQMGzZMs8yU40LoujzW7Nf+/fuRkJCA77//3uA6PGZILTY2FoWFhfj+++/Ro0cPfPDBB7hx4wb+++8/ZGZm4ttvvwXAY4b+p1WrVhg+fDg2bdqE8+fPa5YPHDgQ77//vuZvHjPSYqJtAXl5eTpdCYBnt03Uj1PpFRUVhaVLl8Lb2xu+vr6a5aYcF0LX5bFmn9LS0rBu3ToMGjQIrq6uBtfjMUNqOTk5yM3NRe/evfHJJ58AADp27IiCggLs378fw4YNQ506dXjMkJaaNWvCx8cHHTt2RJUqVXDp0iVs3rwZbm5u6NOnDwCeZ6TGRNsCnJ2dkZ+fr7NcfWCpDzQqfZKTkzFr1iy4uLhg0qRJKFeunOYxU44LoevyWLNPa9euReXKlTU/dIbwmCE19efSpUsXreWvv/469u/fj7CwMNSpU4fHDGmcOHECv//+O/7880/UqFEDwLOLM6VSiVWrVqFLly6oWrUqjxmJsY+2Bbi7uyM5OVlnuXpZ9erVLR0SWUBmZiZmzJiBzMxMzJw5U+dzNuW4ELoujzX7ExsbiwMHDqBv375ISkrCkydP8OTJE+Tn56OwsBBPnjxBeno6AB4z9D/u7u4AdAe2qe+IZGRkaNbjMUMAsHfvXjRu3FiTZKu1a9cOubm5iIiIAMBjRmpMtC2gYcOGiImJ0Yz4Vbtz547mcSpd8vLyMHv2bMTExGDatGmoX7++zjqmHBdC1+WxZn8SExOhVCrx119/YfTo0Zr/7ty5g5iYGIwePRr//vsvAB4z9D9NmjQBoNu3NSkpCQA0A695zJBaSkqK3so0BQUFAJ4NyAZ4zEiNibYFdOrUCUqlEvv379csy8/Px+HDh+Hl5QUPDw8rRkdSKywsxE8//YSwsDBMmjQJ3t7eetcz5bgQui6PNftTv359BAYG6vxXv359eHh4IDAwED169ADAY4b+p3PnzgCAQ4cOaS0/ePAgypUrp6kwwWOG1OrUqYP79+8jJiZGa/mJEyfg4OCgqXbEY0Za7KNtAV5eXujUqRNWr16N1NRU1K5dG0ePHkV8fDzGjRtn7fBIYitWrMD58+fRtm1bpKenIzg4WOvxbt26ATDtuBC6Lo81++Pq6ooOHTroLN+1axcAaD3GY4bUGjdujB49euDQoUMoLCyEj48Pbty4gdOnT2PAgAGaW/E8ZkjtnXfeweXLlzFp0iT4+/ujSpUquHjxIi5fvoyePXvymJGJQqVSqawdRFmQl5eHtWvX4tixY8jIyICnpyeGDx+OV1991dqhkcS+++473Lx50+Dju3fv1vzblONC6Lo81kqH7777DmlpaVi8eLHWch4zpFZQUIDNmzfj8OHDSEpKgoeHB/z9/fHWW29prcdjhtTCw8Oxfv16REREID09Hc899xx8fX3x7rvvag3W5zEjHSbaREREREQyYB9tIiIiIiIZMNEmIiIiIpIBE20iIiIiIhkw0SYiIiIikgETbSIiIiIiGTDRJiIiIiKSARNtIiIiIiIZMNEmIiIiIpIBE20iIiIiIhkw0SYiIiIikoGjtQMgIpJK3759jT7u4+ODuXPnWigaMseNGzcQGBiotWzt2rVwdXU1a7vqY2T37t0G1zl8+DAWLlwIX19ffP3116L3NXjwYGRmZmr+Hj9+PLp37y56e0Rkf5hoE1Gp4+vrq3d5vXr1LBwJmat27dpo3rw5AMDZ2dnK0ZimS5cuyM3NxYMHD/DgwQNrh0NEVsBEm4hKHXNaIcm2NG/e3G4/z7FjxwIA1q9fz0SbqIxiH20iIiIiIhmwRZuIyqQnT55g9OjR8PHxwdSpU7F+/XqcPXsWiYmJ8Pf3x5gxYwAACQkJ2Lp1Ky5fvozExESUL18e3t7eGDhwoKZLQ3Hnz5/H5s2b8eDBA5QvXx4+Pj4YMWIEjh8/jg0bNmj11VX3RTbUH/jXX3/F0aNH8cMPP6Bly5Zaj5kSW9HXO2PGDGzYsAEnTpxAcnIyPDw80LNnT7z77rtQKBQ6MSQkJGDbtm24cuUKnj59CmdnZ9SqVQtt27bFW2+9BRcXF9y9excBAQHw9vbG/Pnz9b4vmzZtwpo1azB48GAMGzas5A/JCHPeN7E++ugjxMfHG13HWN9vIip7mGgTUZmWl5eH7777DvHx8fDx8UHjxo1RuXJlAEBYWBhmzpyJjIwM1K1bF61bt0ZaWhquXr2KK1eu4JtvvsFrr72mtb19+/ZhyZIlUCgUeOGFF+Du7o47d+5gwoQJaNOmjWRxi4kNAAoKCjBt2jRERUXBx8cHubm5uHnzJv755x9kZ2fj/fff11o/NDQUs2fPRmZmJmrWrIk2bdogLy8P0dHRWL9+Pdq1a4dGjRqhadOmaNy4McLCwvDw4UM0aNBAazsqlQqHDh2Cg4MDevToIdn7YEkdO3ZEWlqazvKUlBRcuXIFDg68SUxE2phoE1GZFh4eDm9vb/z999+aBBsAsrKyMHfuXGRlZWHChAno2rWr5rG7d+9i2rRpWLRoEV588UVNJYz4+HgsW7YMjo6OmDp1Kl599VUAz5LbhQsX4tixY5LELCY2tbCwMPj4+GDZsmVwcXHRPOebb77Bzp078d5776FixYoAgPT0dMydOxeZmZkYOXIk+vfvr5VMhoWFwd3dXfN379698fvvv+PgwYOaOwJq169fR1xcHFq1aoWaNWtK8j5Y2kcffaSzTH2hBgAjRoywdEhEZOOYaBNRqWOozN+yZcvw3HPP6Sz/+OOPtZJsADh06BCSkpLQv39/rUQWAJo2bYpBgwZh+fLlCA4ORv/+/TXPycvLg6+vrybJBgBHR0eMGTMGZ8+eRW5urnkvTmRsag4ODvj88881Sbb6Oa1atcLFixdx7949TVeLgwcPIjU1Fa+++ireeecdnTi8vb21/n799dexYsUKBAcH48MPP4STk5PmsYMHDwIAevXqZc5Ll0xJpSCFWrRoEcLDw9GtWze97xERlW1MtImo1DFU3q9ChQo6y9zd3dG0aVOd5VevXgXwrLuAPi1atADwrDVY7datWwCgt8tG1apV8corr+DcuXMlRF8yMbGpeXh46C1zWLduXVy8eBFJSUmaZdeuXQMA+Pn5CYqrQoUK6Nq1K/bu3YvTp09rLgJSU1Nx9uxZuLm5oW3btoK2JTdDxwgAPH78GLdv3y5xG1u2bMGxY8fg5eWFL7/8UsrwiKiUYKJNRKWOKeXgPDw89C5XD3qbOHGi0ecX7bObmJgIAAa7RkjVZUJMbGo1atTQu666u0h+fr5m2dOnTwE8q2UtVO/evbF3714cPHhQk2gHBwejoKAA3bt3R7ly5QRvS07GjpHDhw+XmGhfuHABa9asQY0aNTB58mSt1nsiIjUm2kRUphlKkJRKJQCgU6dOKF++vMHnyz0Jjkql0llmTmz6qopIydPTE82bN8eNGzcQGxuLOnXq4ODBg1AoFOjZs6es+7aUR48e4eeff4ajoyMmT54MNzc3a4dERDaKiTYRkR41atRATEwM3nvvPTRp0kTQc9zd3RETE4P4+HjUr19f5/GEhASdZY6Oz07DOTk5erepblU2NzYxatSogejoaDx+/Bienp6Cn+fn54fbt2/j4MGDaNu2LaKiovDyyy+jVq1aksdYtAW+KH2t+VJIS0vD7NmzkZ2djYkTJ8r6/hOR/WMtIiIiPV5++WUAwNmzZwU/54UXXgAAnDp1Suex9PR0Td/qotStobGxsXqfc//+fUliE0O9nwMHDpj0vM6dO6NKlSo4cuQI9u7dCwCytWbre98KCwvx8OFDyfdVWFiIH3/8EXFxcRg0aJDevvhEREUx0SYi0sPPzw/VqlXDtm3bsH//fk13DbXCwkJcuXJFK6Hr3r07nJyccPz4cc1AQuBZeb9ly5bpbbWuVasWPDw8EBkZqTVQMicnB7///juysrIkiU2Mnj17omrVqrh8+TJ27typ040lLCwMKSkpOs9zdnbGG2+8gZSUFBw/fhyurq5o3769WbEYcv/+fZw+fVpr2ZYtWzR3DwzdKRDjzz//REhICNq3b2/2hDtEVDaw6wgRkR6VK1fG5MmTMXv2bCxevBgbN25EgwYNULlyZSQnJ+P+/fvIzMxEYGCgZnKWWrVq4aOPPsLSpUsxffp0tGjRAm5ubggLC0NmZia6du2qt5b2kCFD8Ntvv2Hu3Lnw8fFBhQoVEB4eDhcXF7Rr1w7nz583OzYxqlSpgkmTJmH27NlYtmwZdu/ejaZNmyIvLw9RUVF4/PgxFi5ciGrVquk818/PT5Oc+/r6yjZY0MPDAz/++CO8vb3h7u6OR48eISoqCk2aNMG9e/ewfPlyXLlyBZ988olZ+0lISMC+ffsAPCuRuGDBAr3rmTIQl4hKPybaREQGeHt74/fff8fOnTtx8eJF3Lx5E8Czvtg+Pj7o0KGDpnuFmr+/P9zd3bF161bcuXMHzs7OaNGiBUaMGIGTJ0/q3U+PHj2gUCiwY8cO3Lp1C5UrV0bbtm0xYsQILF++XLLYxGjZsiV+++03bNu2DZcvX8a5c+dQsWJFPPfccxg2bJjBftd169ZF9erV8fTpU1kHQbZs2RItWrTA1q1bcffuXXh4eODzzz9Hu3btMG3aNDx58kRvWUdTFb1rcObMGYPrMdEmoqIUKn1D2omISHLr16/Hhg0bMH78eHTv3t3a4cgqLCwM3377LXx8fDB37lyTn3/jxg0EBgbC19dXb/Ja0uO2pCx97kSkjS3aREQkuY0bNwIA+vTpY9Z2bt++jV9//RUA8Omnn2rqfduDJUuWIDc3Fw8ePLB2KERkJUy0iYhIErdv38ahQ4fw8OFDhIeHo3HjxujQoYNZ23z8+DEeP34MABg1apRdJdonTpxAZmamtcMgIitiok1ERJKIiYnBoUOHULFiRbRu3RqfffYZHBzEFbdq2bIldu/eLXGElvXvv/9aOwQisjL20SYiIiIikgHraBMRERERyYCJNhERERGRDJhoExERERHJgIk2EREREZEMmGgTEREREcmAiTYRERERkQyYaBMRERERyYCJNhERERGRDJhoExERERHJgIk2EREREZEMmGgTEREREcng/wEdVctKVq3r6QAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "snrpg.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "I0GKf9vMGdLI"
   },
   "source": [
    "## 4. Closing Comments\n",
    "\n",
    "In this tutorial, we explored two common types of oscillating stars, and demonstrated how Lightkurve can be used to study their power specta. In the accompanying tutorials, you can learn how to use these tools to extract more detailed information from them, including the radius and mass of a star!\n",
    "\n",
    "For further reading on $\\delta$ Scuti stars, solar-like oscillators, and Fourier Transforms, we recommend you consult the following papers:\n",
    "\n",
    "- [Vanderplas (2017)](https://arxiv.org/pdf/1703.09824.pdf) – A detailed paper on Fourier Transforms and Lomb-Scargle Periodograms.\n",
    "- [Bedding et al. (2020)](https://arxiv.org/pdf/2005.06157.pdf) – A demonstration of mode identification in $\\delta$ Scuti stars.\n",
    "- [Chaplin & Miglio (2013)](https://arxiv.org/pdf/1303.1957.pdf) – A review paper on asteroseismology of solar-like oscillators with *Kepler*.\n",
    "- [Aerts (2019)](https://arxiv.org/pdf/1912.12300.pdf) – A comprehensive review that covers asteroseismology of a wide range of oscillating stars, including solar-like oscillators and $\\delta$ Scutis.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "JMrH7qyC9G8x"
   },
   "source": [
    "## About this Notebook\n",
    "\n",
    "**Authors**: Oliver Hall (oliver.hall@esa.int), Geert Barentsen\n",
    "\n",
    "**Updated On**: 2020-09-29"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "AQknrSCV9PuY"
   },
   "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": 13,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 144
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:24:16.747531Z",
     "iopub.status.busy": "2023-11-03T14:24:16.747411Z",
     "iopub.status.idle": "2023-11-03T14:24:16.750057Z",
     "shell.execute_reply": "2023-11-03T14:24:16.749794Z"
    },
    "executionInfo": {
     "elapsed": 114501,
     "status": "ok",
     "timestamp": 1600488239420,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "AmAGa51_9Vyo",
    "outputId": "7a7850c4-9e5c-4501-f2fe-ac5fac1ee0c0"
   },
   "outputs": [
    {
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       "                {Hedges}, C. and {Gully-Santiago}, M. and {Saunders}, N. and\n",
       "                {Cody}, A.~M. and {Barclay}, T. and {Hall}, O. and\n",
       "                {Sagear}, S. and {Turtelboom}, E. and {Zhang}, J. and\n",
       "                {Tzanidakis}, A. and {Mighell}, K. and {Coughlin}, J. and\n",
       "                {Bell}, K. and {Berta-Thompson}, Z. and {Williams}, P. and\n",
       "                {Dotson}, J. and {Barentsen}, G.},\n",
       "    title = \"{Lightkurve: Kepler and TESS time series analysis in Python}\",\n",
       "    keywords = {Software, NASA},\n",
       "howpublished = {Astrophysics Source Code Library},\n",
       "        year = 2018,\n",
       "    month = dec,\n",
       "archivePrefix = \"ascl\",\n",
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       "       Lian and {Earl}, Nicholas and {Starkman}, Nathaniel and {Bradley}, Larry and\n",
       "       {Shupe}, David L. and {Patil}, Aarya A. and {Corrales}, Lia and {Brasseur}, C.~E.\n",
       "       and {N{\\\"o}the}, Maximilian and {Donath}, Axel and {Tollerud}, Erik and {Morris},\n",
       "       Brett M. and {Ginsburg}, Adam and {Vaher}, Eero and {Weaver}, Benjamin A. and\n",
       "       {Tocknell}, James and {Jamieson}, William and {van Kerkwijk}, Marten H. and\n",
       "       {Robitaille}, Thomas P. and {Merry}, Bruce and {Bachetti}, Matteo and\n",
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       "       A. and {Archibald}, Anne M. and {B{\\'o}di}, Attila and {Bapat}, Shreyas and\n",
       "       {Barentsen}, Geert and {Baz{\\'a}n}, Juanjo and {Biswas}, Manish and {Boquien},\n",
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       "       {Conroy}, Kyle E. and {Conseil}, Simon and {Craig}, Matthew W. and {Cross},\n",
       "       Robert M. and {Cruz}, Kelle L. and {D'Eugenio}, Francesco and {Dencheva}, Nadia\n",
       "       and {Devillepoix}, Hadrien A.~R. and {Dietrich}, J{\\\"o}rg P. and {Eigenbrot},\n",
       "       Arthur Davis and {Erben}, Thomas and {Ferreira}, Leonardo and {Foreman-Mackey},\n",
       "       Daniel and {Fox}, Ryan and {Freij}, Nabil and {Garg}, Suyog and {Geda}, Robel and\n",
       "       {Glattly}, Lauren and {Gondhalekar}, Yash and {Gordon}, Karl D. and {Grant},\n",
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       "       {Hatfield-Dodds}, Zac and {Homeier}, Derek and {Hosseinzadeh}, Griffin and\n",
       "       {Jenness}, Tim and {Jones}, Craig K. and {Joseph}, Prajwel and {Kalmbach}, J.\n",
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       "       {Kelley}, Michael S.~P. and {Kern}, Nicholas and {Kerzendorf}, Wolfgang E. and\n",
       "       {Koch}, Eric W. and {Kulumani}, Shankar and {Lee}, Antony and {Ly}, Chun and\n",
       "       {Ma}, Zhiyuan and {MacBride}, Conor and {Maljaars}, Jakob M. and {Muna}, Demitri\n",
       "       and {Murphy}, N.~A. and {Norman}, Henrik and {O'Steen}, Richard and {Oman}, Kyle\n",
       "       A. and {Pacifici}, Camilla and {Pascual}, Sergio and {Pascual-Granado}, J. and\n",
       "       {Patil}, Rohit R. and {Perren}, Gabriel I. and {Pickering}, Timothy E. and\n",
       "       {Rastogi}, Tanuj and {Roulston}, Benjamin R. and {Ryan}, Daniel F. and {Rykoff},\n",
       "       Eli S. and {Sabater}, Jose and {Sakurikar}, Parikshit and {Salgado}, Jes{\\'u}s\n",
       "       and {Sanghi}, Aniket and {Saunders}, Nicholas and {Savchenko}, Volodymyr and\n",
       "       {Schwardt}, Ludwig and {Seifert-Eckert}, Michael and {Shih}, Albert Y. and\n",
       "       {Jain}, Anany Shrey and {Shukla}, Gyanendra and {Sick}, Jonathan and {Simpson},\n",
       "       Chris and {Singanamalla}, Sudheesh and {Singer}, Leo P. and {Singhal}, Jaladh and\n",
       "       {Sinha}, Manodeep and {Sip{\\H{o}}cz}, Brigitta M. and {Spitler}, Lee R. and\n",
       "       {Stansby}, David and {Streicher}, Ole and {{\\v{S}}umak}, Jani and {Swinbank},\n",
       "       John D. and {Taranu}, Dan S. and {Tewary}, Nikita and {Tremblay}, Grant R. and\n",
       "       {Val-Borro}, Miguel de and {Van Kooten}, Samuel J. and {Vasovi{\\'c}}, Zlatan and\n",
       "       {Verma}, Shresth and {de Miranda Cardoso}, Jos{\\'e} Vin{\\'\\i}cius and {Williams},\n",
       "       Peter K.~G. and {Wilson}, Tom J. and {Winkel}, Benjamin and {Wood-Vasey}, W.~M.\n",
       "       and {Xue}, Rui and {Yoachim}, Peter and {Zhang}, Chen and {Zonca}, Andrea and\n",
       "       {Astropy Project Contributors}}, title = \"{The Astropy Project: Sustaining and\n",
       "       Growing a Community-oriented Open-source Project and the Latest Major Release\n",
       "       (v5.0) of the Core Package}\",\n",
       "      journal = {\\apj},\n",
       "     keywords = {Astronomy software, Open source software, Astronomy data analysis, 1855, 1866, 1858, Astrophysics - Instrumentation and Methods for Astrophysics},\n",
       "         year = 2022,\n",
       "        month = aug,\n",
       "       volume = {935},\n",
       "       number = {2},\n",
       "          eid = {167},\n",
       "        pages = {167},\n",
       "          doi = {10.3847/1538-4357/ac7c74},\n",
       "archivePrefix = {arXiv},\n",
       "       eprint = {2206.14220},\n",
       " primaryClass = {astro-ph.IM},\n",
       "       adsurl = {https://ui.adsabs.harvard.edu/abs/2022ApJ...935..167A},\n",
       "      adsnote = {Provided by the SAO/NASA Astrophysics Data System}\n",
       "}\n",
       "\n",
       "\n",
       "    </textarea>\n",
       "    <textarea id=\"astroqueryText\" style=\"position: absolute; left: -9999px; z-index: -9999;\">\n",
       "@ARTICLE{2019AJ....157...98G,\n",
       "   author = {{Ginsburg}, A. and {Sip{\\H o}cz}, B.~M. and {Brasseur}, C.~E. and\n",
       "\t{Cowperthwaite}, P.~S. and {Craig}, M.~W. and {Deil}, C. and\n",
       "\t{Guillochon}, J. and {Guzman}, G. and {Liedtke}, S. and {Lian Lim}, P. and\n",
       "\t{Lockhart}, K.~E. and {Mommert}, M. and {Morris}, B.~M. and\n",
       "\t{Norman}, H. and {Parikh}, M. and {Persson}, M.~V. and {Robitaille}, T.~P. and\n",
       "\t{Segovia}, J.-C. and {Singer}, L.~P. and {Tollerud}, E.~J. and\n",
       "\t{de Val-Borro}, M. and {Valtchanov}, I. and {Woillez}, J. and\n",
       "\t{The Astroquery collaboration} and {a subset of the astropy collaboration}\n",
       "\t},\n",
       "    title = \"{astroquery: An Astronomical Web-querying Package in Python}\",\n",
       "  journal = {\\aj},\n",
       "archivePrefix = \"arXiv\",\n",
       "   eprint = {1901.04520},\n",
       " primaryClass = \"astro-ph.IM\",\n",
       " keywords = {astronomical databases: miscellaneous, virtual observatory tools},\n",
       "     year = 2019,\n",
       "    month = mar,\n",
       "   volume = 157,\n",
       "      eid = {98},\n",
       "    pages = {98},\n",
       "      doi = {10.3847/1538-3881/aafc33},\n",
       "   adsurl = {http://adsabs.harvard.edu/abs/2019AJ....157...98G},\n",
       "  adsnote = {Provided by the SAO/NASA Astrophysics Data System}\n",
       "}\n",
       "\n",
       "    </textarea>\n",
       "    <textarea id=\"tesscutText\" style=\"position: absolute; left: -9999px; z-index: -9999;\">\n",
       "@MISC{2019ascl.soft05007B,\n",
       "        author = {{Brasseur}, C.~E. and {Phillip}, Carlita and {Fleming}, Scott W. and\n",
       "          {Mullally}, S.~E. and {White}, Richard L.},\n",
       "         title = \"{Astrocut: Tools for creating cutouts of TESS images}\",\n",
       "      keywords = {Software},\n",
       "          year = 2019,\n",
       "         month = may,\n",
       "           eid = {ascl:1905.007},\n",
       "         pages = {ascl:1905.007},\n",
       " archivePrefix = {ascl},\n",
       "        eprint = {1905.007},\n",
       "        adsurl = {https://ui.adsabs.harvard.edu/abs/2019ascl.soft05007B},\n",
       "       adsnote = {Provided by the SAO/NASA Astrophysics Data System}\n",
       " }\n",
       "    </textarea>\n",
       "\n",
       "    <p>\n",
       "        When using Lightkurve, we kindly request that you cite the following packages:\n",
       "        <ul>\n",
       "            <li>\n",
       "                <a href=\"https://docs.lightkurve.org\">lightkurve</a>\n",
       "                <button onclick=\"copyBibtex('lightkurve')\"><i class=\"fas fa-clipboard\"></i> Copy BibTeX</button>\n",
       "            </li>\n",
       "            <li>\n",
       "                <a href=\"https://astropy.org\">astropy</a>\n",
       "                <button onclick=\"copyBibtex('astropy')\"><i class=\"fas fa-clipboard\"></i> Copy BibTeX</button>\n",
       "            </li>\n",
       "            <li>\n",
       "                <a href=\"https://astroquery.readthedocs.io\">astroquery</a>\n",
       "                <button onclick=\"copyBibtex('astroquery')\"><i class=\"fas fa-clipboard\"></i> Copy BibTeX</button>\n",
       "                —  if you are using <i>search_lightcurve()</i> or <i>search_targetpixelfile()</i>.\n",
       "            </li>\n",
       "            <li>\n",
       "                <a href=\"https://mast.stsci.edu/tesscut/\">tesscut</a>\n",
       "                <button onclick=\"copyBibtex('tesscut')\"><i class=\"fas fa-clipboard\"></i> Copy BibTeX</button>\n",
       "                — if you are using <i>search_tesscut()</i>.\n",
       "            </li>\n",
       "        </ul>\n",
       "    </p>\n",
       "</body>\n"
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