{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# COSMOS master catalogue for Farmer photometry\n",
    "## Convert COSMOS2020 to help format for HELP DR2 alpha\n",
    "\n",
    "This catalogue comes from `dmu1_COSMOS2020`. We here process the COSMOS2020 catalogue to the HELP format so that it can be merged in with the full area HELP cosmos data sets.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This notebook was run with herschelhelp_internal version: \n",
      "1407877 (Mon Feb 4 12:56:29 2019 +0000)\n",
      "This notebook was executed on: \n",
      "2021-01-20 19:00:57.228387\n"
     ]
    }
   ],
   "source": [
    "from herschelhelp_internal import git_version\n",
    "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))\n",
    "import datetime\n",
    "print(\"This notebook was executed on: \\n{}\".format(datetime.datetime.now()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/rs548/miniconda3/envs/herschelhelp_internal/lib/python3.6/_collections_abc.py:841: MatplotlibDeprecationWarning: \n",
      "The examples.directory rcparam was deprecated in Matplotlib 3.0 and will be removed in 3.2. In the future, examples will be found relative to the 'datapath' directory.\n",
      "  self[key] = other[key]\n",
      "/Users/rs548/miniconda3/envs/herschelhelp_internal/lib/python3.6/_collections_abc.py:841: MatplotlibDeprecationWarning: \n",
      "The savefig.frameon rcparam was deprecated in Matplotlib 3.1 and will be removed in 3.3.\n",
      "  self[key] = other[key]\n",
      "/Users/rs548/miniconda3/envs/herschelhelp_internal/lib/python3.6/_collections_abc.py:841: MatplotlibDeprecationWarning: \n",
      "The text.latex.unicode rcparam was deprecated in Matplotlib 3.0 and will be removed in 3.2.\n",
      "  self[key] = other[key]\n",
      "/Users/rs548/miniconda3/envs/herschelhelp_internal/lib/python3.6/_collections_abc.py:841: MatplotlibDeprecationWarning: \n",
      "The verbose.fileo rcparam was deprecated in Matplotlib 3.1 and will be removed in 3.3.\n",
      "  self[key] = other[key]\n",
      "/Users/rs548/miniconda3/envs/herschelhelp_internal/lib/python3.6/_collections_abc.py:841: MatplotlibDeprecationWarning: \n",
      "The verbose.level rcparam was deprecated in Matplotlib 3.1 and will be removed in 3.3.\n",
      "  self[key] = other[key]\n",
      "/Users/rs548/miniconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/seaborn/apionly.py:9: UserWarning: As seaborn no longer sets a default style on import, the seaborn.apionly module is deprecated. It will be removed in a future version.\n",
      "  warnings.warn(msg, UserWarning)\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "#%config InlineBackend.figure_format = 'svg'\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rc('figure', figsize=(10, 6))\n",
    "\n",
    "from collections import OrderedDict\n",
    "import os\n",
    "\n",
    "from astropy import units as u\n",
    "from astropy.coordinates import SkyCoord\n",
    "from astropy.table import Column, Table\n",
    "import numpy as np\n",
    "\n",
    "from herschelhelp_internal.flagging import  gaia_flag_column\n",
    "from herschelhelp_internal.masterlist import nb_astcor_diag_plot, remove_duplicates\n",
    "from herschelhelp_internal.utils import astrometric_correction, mag_to_flux, flux_to_mag"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "OUT_DIR =  os.environ.get('TMP_DIR', \"./data_tmp\")\n",
    "#OUT_DIR = '/Volumes/Raph500/COSMOS2020'\n",
    "OUT_DIR = '/home/rshirley/COSMOS2020'\n",
    "try:\n",
    "    os.makedirs(OUT_DIR)\n",
    "except FileExistsError:\n",
    "    pass\n",
    "\n",
    "RA_COL = \"cosmos_ra\"\n",
    "DEC_COL = \"cosmos_dec\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## I - Column selection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "bands = OrderedDict({\n",
    "    'UVISTA_Ks': 'vista_ks',\n",
    "    'UVISTA_Y': 'vista_y',\n",
    "    'UVISTA_H': 'vista_h',\n",
    "    'UVISTA_J': 'vista_j',\n",
    "\n",
    "    #CFHT Megacam\n",
    "    'CFHT_u': 'megacam_u',\n",
    "    #SUBARU Suprime\n",
    "    #'SC_B': 'suprime_b',\n",
    "    #'SC_V': 'suprime_v',\n",
    "    #'SC_ip': 'suprime_ip',\n",
    "    #'SC_rp': 'suprime_rc',\n",
    "    #'SC_zp': 'suprime_zp',\n",
    "    #'SC_zpp': 'suprime_zpp',\n",
    "    'SC_IA484': 'suprime_ia484',\n",
    "    'SC_IA527': 'suprime_ia527',\n",
    "    'SC_IA624': 'suprime_ia624',\n",
    "    'SC_IA679': 'suprime_ia679',\n",
    "    'SC_IA738': 'suprime_ia738',\n",
    "    'SC_IA767': 'suprime_ia767',\n",
    "    'SC_IB427': 'suprime_ib427',\n",
    "    'SC_IB464': 'suprime_ib464',\n",
    "    'SC_IB505': 'suprime_ib505',\n",
    "    'SC_IB574': 'suprime_ib574',\n",
    "    'SC_IB709': 'suprime_ib709',\n",
    "    'SC_IB827': 'suprime_ib827',\n",
    "    'SC_NB711': 'suprime_nb711',\n",
    "    'SC_NB816': 'suprime_nb816',\n",
    "    #CFHT WIRCAM\n",
    "    #'hw': 'wircam_h',\n",
    "    #'ksw': 'wircam_ks',\n",
    "    #SUBARU HSC\n",
    "    'HSC_g': 'suprime_g',\n",
    "    'HSC_r': 'suprime_r',\n",
    "    'HSC_i': 'suprime_i',\n",
    "    'HSC_z': 'suprime_z',\n",
    "    'HSC_y': 'suprime_y',\n",
    "    #Spitzer IRAC\n",
    "    'IRAC_1': 'irac_i1', #'irac_i1'???\n",
    "    'IRAC_2': 'irac_i2', # #irac_i2\n",
    "    'SPLASH_3': 'irac_i3', # #irac_i1\n",
    "    'SPLASH_4': 'irac_i4', # #irac_i4\n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "imported_columns = OrderedDict({\n",
    "    #'help_id': 'help_id', #COSMOS 2020 hasn't had help ids added\n",
    "    'ID': 'cosmos_id',\n",
    "    'ALPHA_J2000': 'cosmos_ra',\n",
    "    'DELTA_J2000': 'cosmos_dec',\n",
    "    #'class': 'cosmos_stellarity', #No stellarity in COSMOS 2020?\n",
    "})\n",
    "\n",
    "for band in bands:\n",
    "  \n",
    "    imported_columns.update({band + '_MAG': 'm_cosmos-' + bands[band]})\n",
    "    imported_columns.update({band + '_MAGERR': 'merr_cosmos-' + bands[band]})\n",
    "    imported_columns.update({band + '_FLUX': 'f_cosmos-' + bands[band]})\n",
    "    imported_columns.update({band + '_FLUXERR': 'ferr_cosmos-' + bands[band]})\n",
    "    if 'SPLASH' not in band:\n",
    "        imported_columns.update({band + '_CHISQ': 'chisq_cosmos-' + bands[band]})\n",
    "      \n",
    "        \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "catalogue = Table.read(\n",
    "    OUT_DIR+\"/cosmos2020.calet.org/PHOTOMETRY\"\n",
    "    +\"/COSMOS2020_FARMER_v1.8_formatted.fits\")[list(imported_columns)]\n",
    "for column in imported_columns:\n",
    "    catalogue[column].name = imported_columns[column]\n",
    "\n",
    "epoch = 2015 #Various epochs\n",
    "\n",
    "# Clean table metadata\n",
    "catalogue.meta = None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Adding flux and band-flag columns\n",
    "for col in catalogue.colnames:\n",
    "    #print(col)\n",
    "\n",
    "    if col.startswith('m_'):\n",
    "        \n",
    "        errcol = \"merr{}\".format(col[1:])\n",
    "        chisqcol = \"chisq{}\".format(col[1:])\n",
    "        \n",
    "        mask = (catalogue[col] > 90.) | (catalogue[col] < 0.)\n",
    "        catalogue[col][mask] = np.nan\n",
    "        catalogue[errcol][mask]  = np.nan     \n",
    "        \n",
    "  \n",
    "        if ('irac_i3' not in col) and ('irac_i4' not in col):\n",
    "            # Band-flag column\n",
    "            catalogue.add_column(Column(catalogue[chisqcol]>5, name=\"flag{}\".format(col[1:]), dtype=bool))\n",
    "            catalogue.remove_column(chisqcol)\n",
    "    if col.startswith('f_'):\n",
    "        errcol = \"ferr{}\".format(col[1:])\n",
    "        \n",
    "        mask = (np.isclose(catalogue[col] , -99.) )\n",
    "        catalogue[col][mask] = np.nan\n",
    "        catalogue[errcol][mask] = np.nan \n",
    "        \n",
    "  \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<i>Table length=10</i>\n",
       "<table id=\"table4430966400-812541\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>idx</th><th>cosmos_id</th><th>cosmos_ra</th><th>cosmos_dec</th><th>m_cosmos-vista_ks</th><th>merr_cosmos-vista_ks</th><th>f_cosmos-vista_ks</th><th>ferr_cosmos-vista_ks</th><th>m_cosmos-vista_y</th><th>merr_cosmos-vista_y</th><th>f_cosmos-vista_y</th><th>ferr_cosmos-vista_y</th><th>m_cosmos-vista_h</th><th>merr_cosmos-vista_h</th><th>f_cosmos-vista_h</th><th>ferr_cosmos-vista_h</th><th>m_cosmos-vista_j</th><th>merr_cosmos-vista_j</th><th>f_cosmos-vista_j</th><th>ferr_cosmos-vista_j</th><th>m_cosmos-megacam_u</th><th>merr_cosmos-megacam_u</th><th>f_cosmos-megacam_u</th><th>ferr_cosmos-megacam_u</th><th>m_cosmos-suprime_ia484</th><th>merr_cosmos-suprime_ia484</th><th>f_cosmos-suprime_ia484</th><th>ferr_cosmos-suprime_ia484</th><th>m_cosmos-suprime_ia527</th><th>merr_cosmos-suprime_ia527</th><th>f_cosmos-suprime_ia527</th><th>ferr_cosmos-suprime_ia527</th><th>m_cosmos-suprime_ia624</th><th>merr_cosmos-suprime_ia624</th><th>f_cosmos-suprime_ia624</th><th>ferr_cosmos-suprime_ia624</th><th>m_cosmos-suprime_ia679</th><th>merr_cosmos-suprime_ia679</th><th>f_cosmos-suprime_ia679</th><th>ferr_cosmos-suprime_ia679</th><th>m_cosmos-suprime_ia738</th><th>merr_cosmos-suprime_ia738</th><th>f_cosmos-suprime_ia738</th><th>ferr_cosmos-suprime_ia738</th><th>m_cosmos-suprime_ia767</th><th>merr_cosmos-suprime_ia767</th><th>f_cosmos-suprime_ia767</th><th>ferr_cosmos-suprime_ia767</th><th>m_cosmos-suprime_ib427</th><th>merr_cosmos-suprime_ib427</th><th>f_cosmos-suprime_ib427</th><th>ferr_cosmos-suprime_ib427</th><th>m_cosmos-suprime_ib464</th><th>merr_cosmos-suprime_ib464</th><th>f_cosmos-suprime_ib464</th><th>ferr_cosmos-suprime_ib464</th><th>m_cosmos-suprime_ib505</th><th>merr_cosmos-suprime_ib505</th><th>f_cosmos-suprime_ib505</th><th>ferr_cosmos-suprime_ib505</th><th>m_cosmos-suprime_ib574</th><th>merr_cosmos-suprime_ib574</th><th>f_cosmos-suprime_ib574</th><th>ferr_cosmos-suprime_ib574</th><th>m_cosmos-suprime_ib709</th><th>merr_cosmos-suprime_ib709</th><th>f_cosmos-suprime_ib709</th><th>ferr_cosmos-suprime_ib709</th><th>m_cosmos-suprime_ib827</th><th>merr_cosmos-suprime_ib827</th><th>f_cosmos-suprime_ib827</th><th>ferr_cosmos-suprime_ib827</th><th>m_cosmos-suprime_nb711</th><th>merr_cosmos-suprime_nb711</th><th>f_cosmos-suprime_nb711</th><th>ferr_cosmos-suprime_nb711</th><th>m_cosmos-suprime_nb816</th><th>merr_cosmos-suprime_nb816</th><th>f_cosmos-suprime_nb816</th><th>ferr_cosmos-suprime_nb816</th><th>m_cosmos-suprime_g</th><th>merr_cosmos-suprime_g</th><th>f_cosmos-suprime_g</th><th>ferr_cosmos-suprime_g</th><th>m_cosmos-suprime_r</th><th>merr_cosmos-suprime_r</th><th>f_cosmos-suprime_r</th><th>ferr_cosmos-suprime_r</th><th>m_cosmos-suprime_i</th><th>merr_cosmos-suprime_i</th><th>f_cosmos-suprime_i</th><th>ferr_cosmos-suprime_i</th><th>m_cosmos-suprime_z</th><th>merr_cosmos-suprime_z</th><th>f_cosmos-suprime_z</th><th>ferr_cosmos-suprime_z</th><th>m_cosmos-suprime_y</th><th>merr_cosmos-suprime_y</th><th>f_cosmos-suprime_y</th><th>ferr_cosmos-suprime_y</th><th>m_cosmos-irac_i1</th><th>merr_cosmos-irac_i1</th><th>f_cosmos-irac_i1</th><th>ferr_cosmos-irac_i1</th><th>m_cosmos-irac_i2</th><th>merr_cosmos-irac_i2</th><th>f_cosmos-irac_i2</th><th>ferr_cosmos-irac_i2</th><th>m_cosmos-irac_i3</th><th>merr_cosmos-irac_i3</th><th>f_cosmos-irac_i3</th><th>ferr_cosmos-irac_i3</th><th>m_cosmos-irac_i4</th><th>merr_cosmos-irac_i4</th><th>f_cosmos-irac_i4</th><th>ferr_cosmos-irac_i4</th><th>flag_cosmos-vista_ks</th><th>flag_cosmos-vista_y</th><th>flag_cosmos-vista_h</th><th>flag_cosmos-vista_j</th><th>flag_cosmos-megacam_u</th><th>flag_cosmos-suprime_ia484</th><th>flag_cosmos-suprime_ia527</th><th>flag_cosmos-suprime_ia624</th><th>flag_cosmos-suprime_ia679</th><th>flag_cosmos-suprime_ia738</th><th>flag_cosmos-suprime_ia767</th><th>flag_cosmos-suprime_ib427</th><th>flag_cosmos-suprime_ib464</th><th>flag_cosmos-suprime_ib505</th><th>flag_cosmos-suprime_ib574</th><th>flag_cosmos-suprime_ib709</th><th>flag_cosmos-suprime_ib827</th><th>flag_cosmos-suprime_nb711</th><th>flag_cosmos-suprime_nb816</th><th>flag_cosmos-suprime_g</th><th>flag_cosmos-suprime_r</th><th>flag_cosmos-suprime_i</th><th>flag_cosmos-suprime_z</th><th>flag_cosmos-suprime_y</th><th>flag_cosmos-irac_i1</th><th>flag_cosmos-irac_i2</th></tr></thead>\n",
       "<thead><tr><th></th><th></th><th>deg</th><th>deg</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>mag</th><th>uJy</th><th>uJy</th><th>mag</th><th>mag</th><th>uJy</th><th>uJy</th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th></tr></thead>\n",
       "<tr><td>0</td><td>234</td><td>149.73173343147582</td><td>1.9589006053706217</td><td>23.388622496706716</td><td>0.012925624763478522</td><td>1.601588719668913</td><td>0.01918076458037521</td><td>23.275052210012046</td><td>0.005558381458812394</td><td>1.778193899620512</td><td>0.009126731930581706</td><td>23.067368508317188</td><td>0.006465100951915382</td><td>2.1530424702821547</td><td>0.01285870548090382</td><td>23.129606137809578</td><td>0.005397657045255633</td><td>2.0330944034881857</td><td>0.010132543819226814</td><td>28.19112291338303</td><td>0.19903160983302187</td><td>0.019211038159067228</td><td>0.003865118497449534</td><td>25.468344882009028</td><td>0.04213565987798703</td><td>0.2358642105926884</td><td>0.009333443701082628</td><td>25.314401755687967</td><td>0.035115684212420555</td><td>0.271793644847895</td><td>0.00893425159270263</td><td>24.203839422855317</td><td>0.0169251094782804</td><td>0.7558998007385707</td><td>0.011875743712953205</td><td>23.949458040998312</td><td>0.02011399195287132</td><td>0.9554694016814367</td><td>0.01786568796327549</td><td>23.89526038760397</td><td>0.016412008986259656</td><td>1.004374886335118</td><td>0.015297476954254501</td><td>23.76541822961788</td><td>0.020041353837030783</td><td>1.13196424241362</td><td>0.02108870347441743</td><td>28.805605079860577</td><td>0.7182943676852537</td><td>0.01090832247140017</td><td>0.010230252916158285</td><td>25.640436252353616</td><td>0.10059986608786445</td><td>0.20129152914129372</td><td>0.01954221993414046</td><td>25.455209889539425</td><td>0.07994552776467044</td><td>0.23873497268107352</td><td>0.018242027626273978</td><td>24.72102877601337</td><td>0.03880218591597544</td><td>0.4694490770859461</td><td>0.017080631007235055</td><td>24.044890518391078</td><td>0.016130555121832462</td><td>0.8750720097921696</td><td>0.013097816190306434</td><td>23.721336929257447</td><td>0.027773211241814182</td><td>1.1788681336180258</td><td>0.03054453293369901</td><td>23.82885828225886</td><td>0.02369111969990756</td><td>1.0677183019251901</td><td>0.023554006678087144</td><td>23.716986932556473</td><td>0.012509601153125965</td><td>1.183600737174141</td><td>0.01371603841014296</td><td>25.741091380899352</td><td>0.01797098025907234</td><td>0.18346931844544961</td><td>0.0030620342799788985</td><td>24.395281052805906</td><td>0.006980738834153757</td><td>0.6337056494856216</td><td>0.0040875355709903685</td><td>23.822348607894483</td><td>0.004250708250257632</td><td>1.0741391769470914</td><td>0.004213548078922108</td><td>23.47377718914599</td><td>0.004925095561607378</td><td>1.4807751730404444</td><td>0.006732321654405333</td><td>23.285387830274185</td><td>0.009133214078242854</td><td>1.7613467723603726</td><td>0.01487894398004686</td><td>24.641016440922293</td><td>0.02227586046846127</td><td>0.5053513423372124</td><td>0.010475297884539202</td><td>25.025516542523995</td><td>0.030621387545147552</td><td>0.35464462575989875</td><td>0.010144545635186646</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>23.281034469604492</td><td>2.5905704498291016</td><td>1.7684235572814941</td><td>4.2194647789001465</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>1</td><td>246</td><td>149.72771892631823</td><td>1.9591915679073493</td><td>25.744662204347428</td><td>0.10471441461626109</td><td>0.18286690655328738</td><td>0.018515202149116027</td><td>nan</td><td>nan</td><td>-0.04614322872603917</td><td>0.008370681658207728</td><td>nan</td><td>nan</td><td>-0.09115952864934482</td><td>0.012210573215463049</td><td>nan</td><td>nan</td><td>-0.0252298688774149</td><td>0.0094231476259044</td><td>32.70786520097487</td><td>2.8539484956715984</td><td>0.00029981538827432815</td><td>0.0038538673135109797</td><td>nan</td><td>nan</td><td>-0.0038424528472548233</td><td>0.008977139288217178</td><td>27.75600286918917</td><td>0.29379992621194806</td><td>0.02868130133277852</td><td>0.00891272340032907</td><td>29.488427396256938</td><td>1.154321745109029</td><td>0.005816062187276293</td><td>0.01102454475292932</td><td>27.134559153577555</td><td>0.32013138863139545</td><td>0.05083658147506407</td><td>0.017433259939559628</td><td>nan</td><td>nan</td><td>-0.01637430496772817</td><td>0.016371169567823873</td><td>nan</td><td>nan</td><td>-0.02154341086645508</td><td>0.025619105868794914</td><td>nan</td><td>nan</td><td>-0.00797068413328888</td><td>0.01121387855884955</td><td>nan</td><td>nan</td><td>-0.10329816664721352</td><td>0.02005870853942832</td><td>28.687268754964308</td><td>0.989437051373956</td><td>0.012164450570595061</td><td>0.018095437590678932</td><td>nan</td><td>nan</td><td>-0.029293150064254297</td><td>0.019628305225642555</td><td>nan</td><td>nan</td><td>-0.029519308115281216</td><td>0.016079288657165697</td><td>nan</td><td>nan</td><td>-0.01057278592705418</td><td>0.03132117114526964</td><td>27.549676979235393</td><td>0.6109209913995779</td><td>0.034684002456142</td><td>0.02619921634808365</td><td>nan</td><td>nan</td><td>-0.06019400362397344</td><td>0.013293158532232275</td><td>nan</td><td>nan</td><td>-0.005308211624408267</td><td>0.0029541519742373717</td><td>nan</td><td>nan</td><td>-0.0034668502447252687</td><td>0.0039035712514033636</td><td>nan</td><td>nan</td><td>-0.006498037958190123</td><td>0.003988907729630181</td><td>nan</td><td>nan</td><td>-0.017636967819810424</td><td>0.0062950364514201065</td><td>29.962106494650335</td><td>1.6898390741129452</td><td>0.0037597364441061413</td><td>0.014067869737096818</td><td>nan</td><td>nan</td><td>-0.050324378361822325</td><td>0.010687307527341736</td><td>nan</td><td>nan</td><td>-0.048023748914436046</td><td>0.009409940395056663</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>2</td><td>274</td><td>149.73346923069272</td><td>1.9591341323316307</td><td>22.627219552903576</td><td>0.007419735400928059</td><td>3.22932815372168</td><td>0.02214425475033789</td><td>23.442778547962533</td><td>0.007336025714408665</td><td>1.523661804931281</td><td>0.010329829114327187</td><td>22.802354453080575</td><td>0.005826161998412714</td><td>2.748262543081053</td><td>0.014787072711999485</td><td>22.934343101743227</td><td>0.0051569471968361084</td><td>2.433676000145034</td><td>0.011586784283851636</td><td>24.51283627769685</td><td>0.00841693339998231</td><td>0.5686767711728469</td><td>0.00442567515921982</td><td>23.930176562660925</td><td>0.011938872978211848</td><td>0.9725890482706449</td><td>0.010753710710635094</td><td>23.855910986071358</td><td>0.010816631621974878</td><td>1.0414432406047516</td><td>0.010427217854262037</td><td>23.576287078224055</td><td>0.00979636047415056</td><td>1.3473647116409926</td><td>0.012211987507993662</td><td>23.421989943765354</td><td>0.01271349208679967</td><td>1.5531164603396108</td><td>0.018293202384038136</td><td>23.617935394822545</td><td>0.014159287499281366</td><td>1.2966591889346124</td><td>0.017020717248937504</td><td>23.693896554230086</td><td>0.022258527031505493</td><td>1.209041973708721</td><td>0.025042217910538633</td><td>24.01527222393513</td><td>0.015142398132528686</td><td>0.8992720810119428</td><td>0.012629712094947442</td><td>23.984861758382284</td><td>0.022737958615077408</td><td>0.9248159188465651</td><td>0.019572124808870453</td><td>23.834852660088785</td><td>0.01822139585720701</td><td>1.0618396444485636</td><td>0.017970726517448382</td><td>23.606118914826276</td><td>0.014911512439960604</td><td>1.3108482966485935</td><td>0.01812740029117874</td><td>23.652299321034818</td><td>0.013374717287642439</td><td>1.2562621398790794</td><td>0.015571062638910319</td><td>23.722951334109432</td><td>0.02367187381225456</td><td>1.177116551424632</td><td>0.025946020684840764</td><td>23.538949790193712</td><td>0.021038579231528534</td><td>1.3945050261824323</td><td>0.02728517114064684</td><td>23.82608368557598</td><td>0.015473783337783526</td><td>1.0704503432699586</td><td>0.015365162214407126</td><td>23.892705042157527</td><td>0.0038574923615959022</td><td>1.0067415269491995</td><td>0.0035831951765999937</td><td>23.656532671530165</td><td>0.004020684300799688</td><td>1.2513734354178034</td><td>0.004642660971106772</td><td>23.675287187219666</td><td>0.004146459631306592</td><td>1.2299433964328206</td><td>0.004706172075324438</td><td>23.529279910347675</td><td>0.005773568079807643</td><td>1.4069803622307042</td><td>0.007501761149544428</td><td>23.430856850003586</td><td>0.01170347167958075</td><td>1.5404842413975441</td><td>0.01669515461724477</td><td>22.667518021098985</td><td>0.004050629492007211</td><td>3.111664689125131</td><td>0.011630579916138518</td><td>22.55451514132456</td><td>0.0035651499895812096</td><td>3.452979050596006</td><td>0.011356922297208792</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>23.753154754638672</td><td>3.02280330657959</td><td>1.1448215246200562</td><td>3.187303066253662</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>3</td><td>301</td><td>149.73460354266953</td><td>1.9594737420969848</td><td>27.18058994343855</td><td>0.34754637328927296</td><td>0.048726365955984424</td><td>0.018382912891942643</td><td>27.585964897144482</td><td>0.2424654963902304</td><td>0.0335439375722585</td><td>0.00839334054062123</td><td>26.487347309510394</td><td>0.13383795504652332</td><td>0.09227011803932575</td><td>0.012104826617633646</td><td>26.61343313378588</td><td>0.11781764943251766</td><td>0.08215362787522311</td><td>0.009416496961864513</td><td>29.62861841161544</td><td>0.6228211351849096</td><td>0.0051115502593388155</td><td>0.003959991193253078</td><td>29.60397858950143</td><td>1.1358234989010094</td><td>0.0052288786645484355</td><td>0.0096557486029555</td><td>29.970225436889656</td><td>1.3110232941477549</td><td>0.0037317266602634337</td><td>0.008751278294790662</td><td>27.25144093013929</td><td>0.2279620637804672</td><td>0.04564819693481914</td><td>0.010664775710910252</td><td>27.168162793859892</td><td>0.33077382893216434</td><td>0.04928728350663817</td><td>0.017553943557878343</td><td>26.618809188300947</td><td>0.22129094451111714</td><td>0.08174784723479758</td><td>0.018480992398475376</td><td>26.66674046299658</td><td>0.2517021000139741</td><td>0.07821747909943007</td><td>0.020406984643516087</td><td>27.65721759595739</td><td>0.3295542719967487</td><td>0.03141325658161944</td><td>0.011140183067122686</td><td>nan</td><td>nan</td><td>-0.023479019018967193</td><td>0.01689117559087794</td><td>27.2306485028714</td><td>0.3465093989640056</td><td>0.04653080851415303</td><td>0.017493420659286784</td><td>26.80621638884319</td><td>0.23057433426915033</td><td>0.06878812067310967</td><td>0.01627536562807625</td><td>27.35898160006329</td><td>0.3346173165516561</td><td>0.04134351144594167</td><td>0.014923556728128392</td><td>26.326045354598115</td><td>0.2254933458179038</td><td>0.10704881352608006</td><td>0.024709854703614652</td><td>27.69439127746954</td><td>0.6593999208367823</td><td>0.030355926248526278</td><td>0.025363092212837213</td><td>27.299659930221743</td><td>0.28698475995101225</td><td>0.04366525773278275</td><td>0.013210858344925535</td><td>nan</td><td>nan</td><td>-0.0027265749016387175</td><td>0.0029998428022144264</td><td>27.544039565874918</td><td>0.11529187895700518</td><td>0.03486455879470739</td><td>0.0039058986538851835</td><td>26.992795584683677</td><td>0.07162399974867917</td><td>0.057927097216964214</td><td>0.003950204337860879</td><td>27.067949864321946</td><td>0.11976074740918997</td><td>0.05405303130201039</td><td>0.006303511170421992</td><td>26.44940948510625</td><td>0.14820214538661444</td><td>0.09555121327853164</td><td>0.01397474562050674</td><td>26.103245515661893</td><td>0.07897397777172835</td><td>0.13143220492242555</td><td>0.009916353907964604</td><td>26.517045148707407</td><td>0.10179034933952907</td><td>0.089780483626943</td><td>0.00882432175435396</td><td>24.382226943969727</td><td>1.7991892099380493</td><td>0.6413708329200745</td><td>1.0628249645233154</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>4</td><td>317</td><td>149.7364859547879</td><td>1.9590061789396136</td><td>21.271718302039535</td><td>0.002070190075082321</td><td>11.254149478354362</td><td>0.0214789321035478</td><td>23.83716870842149</td><td>0.010314221792624754</td><td>1.0595769854509134</td><td>0.010113678412062373</td><td>21.67725460545334</td><td>0.002016755037214208</td><td>7.746368589082044</td><td>0.01440225186797021</td><td>22.584919278725497</td><td>0.0036546583029948574</td><td>3.3576257626915567</td><td>0.011321028494518989</td><td>29.975527870849504</td><td>0.836726823247081</td><td>0.0037135463739567448</td><td>0.004312091887840637</td><td>28.779068170692323</td><td>0.7133676930379775</td><td>0.01117822203215467</td><td>0.010385305564060577</td><td>27.3529515915438</td><td>0.23805762592923685</td><td>0.04157376562729013</td><td>0.010191972829090474</td><td>27.00381109196383</td><td>0.20712470522143314</td><td>0.05734236003663039</td><td>0.012052202977324518</td><td>25.279700122759426</td><td>0.07778274492270311</td><td>0.2806208597730454</td><td>0.02084146840943236</td><td>25.63452064479004</td><td>0.08693495373950774</td><td>0.20239125438278907</td><td>0.016871933259461354</td><td>25.84904725735772</td><td>0.1377661527184037</td><td>0.16610438480383832</td><td>0.022472109647027082</td><td>29.066971010794656</td><td>0.9844173629598801</td><td>0.008574555104311142</td><td>0.012656840415058027</td><td>28.301084063199255</td><td>0.8987245434849542</td><td>0.017360665716257374</td><td>0.02236362871042414</td><td>nan</td><td>nan</td><td>-0.0029453928414913282</td><td>0.018005675853265627</td><td>26.857874349195104</td><td>0.2989287064208116</td><td>0.06559190740553222</td><td>0.02078979182638101</td><td>26.220737711070296</td><td>0.13803384708369695</td><td>0.1179518930920056</td><td>0.01599062348285622</td><td>25.89464520167735</td><td>0.1811806303326803</td><td>0.15927291161611137</td><td>0.02892472768760885</td><td>25.855024398230466</td><td>0.18136093282098226</td><td>0.16519246764201978</td><td>0.030032164799898904</td><td>25.977350565951998</td><td>0.10633392810300774</td><td>0.14759096544173125</td><td>0.015186148777931792</td><td>28.67765661823035</td><td>0.2646401963025036</td><td>0.012272621849341574</td><td>0.0033874384948953317</td><td>26.26379372918572</td><td>0.04113008263252725</td><td>0.1133659177851242</td><td>0.004376931550875809</td><td>25.588641506865546</td><td>0.02346276597981705</td><td>0.21112681555746743</td><td>0.004612106103619843</td><td>24.778323838588694</td><td>0.017713273035132798</td><td>0.4453182201037708</td><td>0.007324743694047811</td><td>24.0483808569876</td><td>0.01993558828531127</td><td>0.8722634145764421</td><td>0.01616387977407712</td><td>20.84016852111575</td><td>0.0007352172972577931</td><td>16.746829221475636</td><td>0.011344125941489019</td><td>20.689462745912756</td><td>0.0006383295826562826</td><td>19.240435665252303</td><td>0.011315225818481081</td><td>20.769973754882812</td><td>0.2329093962907791</td><td>17.86530876159668</td><td>3.832421064376831</td><td>22.340072631835938</td><td>1.056741714477539</td><td>4.206986427307129</td><td>4.094639301300049</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>True</td><td>True</td></tr>\n",
       "<tr><td>5</td><td>341</td><td>149.73675251963198</td><td>1.9593814428625993</td><td>22.660304515020147</td><td>0.007359597185296872</td><td>3.1324070589716064</td><td>0.02130495736990075</td><td>23.829700906342374</td><td>0.010142907660677747</td><td>1.0668899827389255</td><td>0.010013547217720102</td><td>22.894905777314918</td><td>0.006109334759257607</td><td>2.5236997754487605</td><td>0.014240647348578972</td><td>23.22304891246093</td><td>0.0064906786842324</td><td>1.8654363492229216</td><td>0.01118523228966387</td><td>25.457349088644158</td><td>0.01966423459220858</td><td>0.2382650621664691</td><td>0.0043546361537671096</td><td>24.691014218723854</td><td>0.023948514248967465</td><td>0.4826077730301808</td><td>0.010763340379547934</td><td>24.593357968850658</td><td>0.020630995125224833</td><td>0.5280278295025524</td><td>0.01012943919315404</td><td>24.20236297070987</td><td>0.017077046277877525</td><td>0.7569284198994948</td><td>0.011999499526887251</td><td>24.29359186592553</td><td>0.029661516590482405</td><td>0.6959263068044925</td><td>0.019274276953451564</td><td>24.2824066715374</td><td>0.025532213922500886</td><td>0.703132757657449</td><td>0.016730847304988347</td><td>24.286923083353663</td><td>0.0340674189178297</td><td>0.7002139627681756</td><td>0.022319115362747343</td><td>24.72663858046083</td><td>0.028825443994749393</td><td>0.46702977324890554</td><td>0.012565335728968523</td><td>24.902255629644856</td><td>0.05846379319285787</td><td>0.39728095678902375</td><td>0.021978884330274142</td><td>24.51307115624573</td><td>0.033523911527866816</td><td>0.5685537619855499</td><td>0.01782887488567757</td><td>24.346400762277533</td><td>0.029539902297298318</td><td>0.6628872946132587</td><td>0.01828293036064879</td><td>24.410304089591303</td><td>0.02874693393622452</td><td>0.6249976208864038</td><td>0.016769018633890558</td><td>24.393005126926983</td><td>0.05039628918285355</td><td>0.6350354198125516</td><td>0.03017105057710492</td><td>24.22823473601821</td><td>0.043182735619968105</td><td>0.7391049409945837</td><td>0.029988663335677603</td><td>24.3162598426524</td><td>0.02371500221643022</td><td>0.6815473961867475</td><td>0.015050348144182227</td><td>24.63286134943947</td><td>0.007216224464174915</td><td>0.509161386240685</td><td>0.0033953552323140717</td><td>24.304726486535355</td><td>0.006995643184892462</td><td>0.6888258001857296</td><td>0.004452589064258561</td><td>24.220737532102703</td><td>0.006626774626727998</td><td>0.7442262550921404</td><td>0.004556264176316589</td><td>24.008985065700095</td><td>0.008684781256671065</td><td>0.9044945902837863</td><td>0.007264047111658904</td><td>23.84645096019883</td><td>0.01633445432640914</td><td>1.0505569880330763</td><td>0.01592468730861895</td><td>22.282253460842387</td><td>0.002766127432340693</td><td>4.437093860075172</td><td>0.011318785305711144</td><td>22.305964523402015</td><td>0.002802241336418788</td><td>4.341243945571617</td><td>0.011219047186122235</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>True</td><td>True</td></tr>\n",
       "<tr><td>6</td><td>395</td><td>149.80943315587396</td><td>1.959182305188248</td><td>23.347305541589492</td><td>0.03795275033401459</td><td>1.6637105989390986</td><td>0.059184690095776864</td><td>23.826421194459748</td><td>0.02525336438161066</td><td>1.0701176378204462</td><td>0.025181808089953496</td><td>23.512976229203677</td><td>0.029180040780736344</td><td>1.4282673497516098</td><td>0.03890632063252402</td><td>23.568975321774175</td><td>0.023463521209401365</td><td>1.3564689944018393</td><td>0.02963329159437883</td><td>25.01662756239277</td><td>0.03514596038935975</td><td>0.35756003823236765</td><td>0.011763816022180535</td><td>24.57419607239282</td><td>0.06446142009405113</td><td>0.537429585964473</td><td>0.03287404822318898</td><td>24.927673911161158</td><td>0.08758272205486722</td><td>0.38808819778207176</td><td>0.032603095984277804</td><td>24.789210477376376</td><td>0.09856701185515071</td><td>0.4408753414708409</td><td>0.04189725882590834</td><td>23.916887557184726</td><td>0.04990387139952166</td><td>0.9845663239927401</td><td>0.04630990584522434</td><td>24.165061704519452</td><td>0.06918092107024991</td><td>0.7833851201871681</td><td>0.051540305403436106</td><td>24.20947781353474</td><td>0.08034038148065664</td><td>0.7519844751272522</td><td>0.05775446927990953</td><td>24.968523930946496</td><td>0.08932643048866934</td><td>0.3737579401471916</td><td>0.03205042937336328</td><td>24.910084737200226</td><td>0.11197361134665254</td><td>0.39442651752289326</td><td>0.04284938986389974</td><td>25.050728390902492</td><td>0.13245697902608408</td><td>0.3465043121366351</td><td>0.04495933255469134</td><td>24.941297657430603</td><td>0.11391705600747433</td><td>0.38324891765849006</td><td>0.04239630117155376</td><td>24.55164486234426</td><td>0.07519686756854957</td><td>0.5487089639289777</td><td>0.039349902063237116</td><td>24.287661783413085</td><td>0.08662657540452717</td><td>0.6997377216941089</td><td>0.05811692328411576</td><td>24.56885683667474</td><td>0.1648654825360403</td><td>0.5400789682638868</td><td>0.08856312608954708</td><td>23.87335640519801</td><td>0.044894914014307855</td><td>1.0248432332123796</td><td>0.04326534631039532</td><td>24.298612754267428</td><td>0.014052009135003603</td><td>0.6927154886765213</td><td>0.009023654003823958</td><td>23.63684785111775</td><td>0.010169616181313448</td><td>1.2742682420950906</td><td>0.011991585618350896</td><td>23.44289794889896</td><td>0.009284644202169522</td><td>1.5234942535109444</td><td>0.013083984421154077</td><td>23.230094123199663</td><td>0.012280982674061133</td><td>1.853370946480133</td><td>0.021082866617032518</td><td>23.62749014956802</td><td>0.03577662505593103</td><td>1.2852983208665885</td><td>0.04305801084202982</td><td>23.930792985516316</td><td>0.021075964923444837</td><td>0.9720370210301196</td><td>0.019053201681113737</td><td>24.29688243847265</td><td>0.03129748852691004</td><td>0.6938203354699912</td><td>0.02029115309168502</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>True</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>7</td><td>641</td><td>149.80818093513798</td><td>1.960735299922431</td><td>26.835560990555617</td><td>0.2638377814881546</td><td>0.06695385752064931</td><td>0.01841721084360238</td><td>27.814164555185677</td><td>0.2934618659185604</td><td>0.027185303002049455</td><td>0.008436748260808783</td><td>28.9504504781012</td><td>0.8956160653890677</td><td>0.009545964363762573</td><td>0.012234454871501698</td><td>26.583761854995497</td><td>0.11507546453549114</td><td>0.08442970231024462</td><td>0.009440000698055952</td><td>28.600978747439406</td><td>0.28096408319942245</td><td>0.01317068918691384</td><td>0.0038899042766792867</td><td>27.493376170774578</td><td>0.25895050087709975</td><td>0.036529988180235146</td><td>0.00983922558124176</td><td>27.669621141337196</td><td>0.28550575648599175</td><td>0.03105643087530535</td><td>0.009341009261543317</td><td>27.767516051525963</td><td>0.45178544663660225</td><td>0.02837877072951771</td><td>0.014644929413819488</td><td>27.38376447302143</td><td>0.3712378924798975</td><td>0.04041049876993614</td><td>0.016473401689443626</td><td>26.782352110796943</td><td>0.23699902019981617</td><td>0.07031680925828872</td><td>0.017153117678444574</td><td>27.556507227580482</td><td>0.5405872282544448</td><td>0.03446649404821594</td><td>0.0222398959303297</td><td>27.45578367716658</td><td>0.27710184026801943</td><td>0.03781695259359932</td><td>0.010995121883190039</td><td>nan</td><td>nan</td><td>-0.00484424699521887</td><td>0.01788591249971522</td><td>28.574965310882916</td><td>0.8021111423953499</td><td>0.01349005982452111</td><td>0.014749526634131668</td><td>27.751971326562707</td><td>0.5417742252397962</td><td>0.028787998366657123</td><td>0.018627591692752004</td><td>27.480039925965198</td><td>0.3143821042751735</td><td>0.03698145802747118</td><td>0.012419670635675284</td><td>27.193274506919874</td><td>0.4205761095097371</td><td>0.048160412409001374</td><td>0.022784399402901195</td><td>27.45765338361046</td><td>0.5302206988599493</td><td>0.03775188544933831</td><td>0.023769616014104905</td><td>27.550512777599145</td><td>0.3614527300456452</td><td>0.0346573130287715</td><td>0.013690405045257375</td><td>27.994927442233003</td><td>0.13232856117136169</td><td>0.023015956236998206</td><td>0.002983271463755931</td><td>27.20174563583666</td><td>0.0860515858651858</td><td>0.04778611739312135</td><td>0.0039414886873200385</td><td>27.226007188562505</td><td>0.08821341183958652</td><td>0.0467301445660103</td><td>0.0039552100457032075</td><td>26.888925878382917</td><td>0.10102506164824858</td><td>0.06374258160778551</td><td>0.006215786983794843</td><td>27.012520379737666</td><td>0.2414050563062698</td><td>0.056884225332876126</td><td>0.014164104076679684</td><td>nan</td><td>nan</td><td>-0.03112278299311785</td><td>0.009532835734346056</td><td>nan</td><td>nan</td><td>-0.0092692851248445</td><td>0.009538360375713427</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>8</td><td>670</td><td>149.73025897083113</td><td>1.9598352041317673</td><td>21.463670427784415</td><td>0.0030381981588036276</td><td>9.430437233937246</td><td>0.02642599731045546</td><td>22.012613071794846</td><td>0.002301151943100489</td><td>5.687936918938762</td><td>0.012068021040528641</td><td>21.790546582226327</td><td>0.0027327844569575337</td><td>6.978809878001414</td><td>0.017587701963895544</td><td>21.963719234286764</td><td>0.0024925643584353787</td><td>5.949936164193182</td><td>0.013675177600062934</td><td>23.336520458645808</td><td>0.0034700212998805603</td><td>1.6803193033131822</td><td>0.005378904408675027</td><td>23.26787771707562</td><td>0.008522282161967218</td><td>1.7899830280016986</td><td>0.014105421670327646</td><td>23.197950566979774</td><td>0.007501378508428524</td><td>1.909060857720084</td><td>0.013235418331693465</td><td>22.896379669155166</td><td>0.006499392964823209</td><td>2.5202761658242476</td><td>0.015132027970126222</td><td>22.653094327504334</td><td>0.007174978481929391</td><td>3.153278059503255</td><td>0.02090712606374653</td><td>22.79967332954994</td><td>0.008056981271791391</td><td>2.755057505483605</td><td>0.020520649148077365</td><td>22.770582738292326</td><td>0.01200508676644945</td><td>2.8298727337321936</td><td>0.03146379600530884</td><td>23.331428095290896</td><td>0.009659063566934313</td><td>1.6882189151442502</td><td>0.015085951632931072</td><td>23.417990740050968</td><td>0.016735664679550344</td><td>1.5588477626366302</td><td>0.024214403886210913</td><td>23.1926153351446</td><td>0.012088248654412104</td><td>1.9184649359315866</td><td>0.0214789389518276</td><td>22.99696621173102</td><td>0.010214661165854344</td><td>2.2972777976659313</td><td>0.021714893029277666</td><td>22.79030308667697</td><td>0.008314139856493421</td><td>2.7789374103529636</td><td>0.021361692550290422</td><td>22.3593365722237</td><td>0.009737759883356985</td><td>4.132999674807014</td><td>0.03723480811413374</td><td>22.800375993812366</td><td>0.015716422375086074</td><td>2.7532750705354685</td><td>0.04014449975634737</td><td>22.318569488669198</td><td>0.004769268828683817</td><td>4.291135264703605</td><td>0.018890953996619966</td><td>23.21234667301351</td><td>0.002405104533299422</td><td>1.8839151160174883</td><td>0.00417784263365383</td><td>22.91225017343143</td><td>0.0024370435959959725</td><td>2.4837045369167505</td><td>0.005581184877816244</td><td>22.583312785408797</td><td>0.001881372126373813</td><td>3.362597500643335</td><td>0.005831786282825175</td><td>22.205961958655394</td><td>0.0021279922898602035</td><td>4.760090574820687</td><td>0.009338704095138801</td><td>22.07848578513009</td><td>0.004030408357703158</td><td>5.35310406184996</td><td>0.01990841786533289</td><td>21.2722870345771</td><td>0.0013815716496295306</td><td>11.248255850723927</td><td>0.014322229301879137</td><td>21.352252854825704</td><td>0.0013337978173630315</td><td>10.44958055030648</td><td>0.012844917740570552</td><td>21.491426467895508</td><td>0.4545156955718994</td><td>9.192418098449707</td><td>3.848170757293701</td><td>22.828067779541016</td><td>2.1031627655029297</td><td>2.6839423179626465</td><td>5.1990227699279785</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>True</td><td>True</td><td>True</td><td>True</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>9</td><td>701</td><td>149.72984831556215</td><td>1.960346794269329</td><td>23.05540621745623</td><td>0.013802660555921695</td><td>2.176895156192909</td><td>0.02785091432442148</td><td>23.175098820818945</td><td>0.007006098323597133</td><td>1.9496671381695474</td><td>0.012621598263300782</td><td>23.169582088807577</td><td>0.010204352390072877</td><td>1.9595987983829073</td><td>0.018504219064427164</td><td>23.187635518149442</td><td>0.008053018111191513</td><td>1.9272843406588696</td><td>0.014348012544539074</td><td>24.162430353540536</td><td>0.008052045108592932</td><td>0.785286006547243</td><td>0.0058454929638029765</td><td>24.050514028344487</td><td>0.01832505141984003</td><td>0.8705513406380461</td><td>0.014817858243191534</td><td>24.215553773819682</td><td>0.021268442872983045</td><td>0.747787998044685</td><td>0.014792803824939926</td><td>24.025263995450103</td><td>0.01954688135263134</td><td>0.8910342578857462</td><td>0.016186867066118805</td><td>23.824777782753884</td><td>0.023710360951031375</td><td>1.0717386351602334</td><td>0.02366210811251849</td><td>23.908600411377016</td><td>0.02979028109524675</td><td>0.9921100189848935</td><td>0.02759826597485804</td><td>23.978575627014084</td><td>0.038027061191870555</td><td>0.9301858938267633</td><td>0.03315628030949235</td><td>24.109233543940107</td><td>0.021542516942776212</td><td>0.8247201059779153</td><td>0.016527011637071234</td><td>24.589559521033156</td><td>0.05014831716355142</td><td>0.5298783698907245</td><td>0.02504819886948543</td><td>24.148446307135554</td><td>0.03152078127215473</td><td>0.7954657353044576</td><td>0.02343222551327156</td><td>24.12338473088217</td><td>0.03090580521422781</td><td>0.8140406785881628</td><td>0.023504860288215475</td><td>24.00813433271623</td><td>0.024108240890167526</td><td>0.905203588402269</td><td>0.020324414304832762</td><td>23.60192197546393</td><td>0.031953040661516365</td><td>1.31592521836556</td><td>0.03930296936107138</td><td>24.07515783308978</td><td>0.05427844499178909</td><td>0.8510143175582926</td><td>0.043625544155721355</td><td>23.52071949156442</td><td>0.015408014246212506</td><td>1.4181174575277011</td><td>0.020268415649850515</td><td>24.13036774479171</td><td>0.005766802493308355</td><td>0.8088219003765059</td><td>0.004307423079060567</td><td>23.995298427005096</td><td>0.006758989077018239</td><td>0.9159686910550281</td><td>0.005719927878764225</td><td>23.753108416520107</td><td>0.00576044865829674</td><td>1.1448712075183407</td><td>0.006090335574785653</td><td>23.281616389359744</td><td>0.005978911233803682</td><td>1.7674756699223648</td><td>0.00975994928478976</td><td>23.218088519904228</td><td>0.012159327713690255</td><td>1.873978448576307</td><td>0.021104932658042627</td><td>23.05523152679536</td><td>0.006802996445181505</td><td>2.1772454381918784</td><td>0.013684994369432636</td><td>23.26511607156942</td><td>0.007779001430072893</td><td>1.794541769535093</td><td>0.01290356850777331</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "</table><style>table.dataTable {clear: both; width: auto !important; margin: 0 !important;}\n",
       ".dataTables_info, .dataTables_length, .dataTables_filter, .dataTables_paginate{\n",
       "display: inline-block; margin-right: 1em; }\n",
       ".paginate_button { margin-right: 5px; }\n",
       "</style>\n",
       "<script>\n",
       "\n",
       "var astropy_sort_num = function(a, b) {\n",
       "    var a_num = parseFloat(a);\n",
       "    var b_num = parseFloat(b);\n",
       "\n",
       "    if (isNaN(a_num) && isNaN(b_num))\n",
       "        return ((a < b) ? -1 : ((a > b) ? 1 : 0));\n",
       "    else if (!isNaN(a_num) && !isNaN(b_num))\n",
       "        return ((a_num < b_num) ? -1 : ((a_num > b_num) ? 1 : 0));\n",
       "    else\n",
       "        return isNaN(a_num) ? -1 : 1;\n",
       "}\n",
       "\n",
       "require.config({paths: {\n",
       "    datatables: 'https://cdn.datatables.net/1.10.12/js/jquery.dataTables.min'\n",
       "}});\n",
       "require([\"datatables\"], function(){\n",
       "    console.log(\"$('#table4430966400-812541').dataTable()\");\n",
       "    \n",
       "jQuery.extend( jQuery.fn.dataTableExt.oSort, {\n",
       "    \"optionalnum-asc\": astropy_sort_num,\n",
       "    \"optionalnum-desc\": function (a,b) { return -astropy_sort_num(a, b); }\n",
       "});\n",
       "\n",
       "    $('#table4430966400-812541').dataTable({\n",
       "        order: [],\n",
       "        pageLength: 50,\n",
       "        lengthMenu: [[10, 25, 50, 100, 500, 1000, -1], [10, 25, 50, 100, 500, 1000, 'All']],\n",
       "        pagingType: \"full_numbers\",\n",
       "        columnDefs: [{targets: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115], type: \"optionalnum\"}]\n",
       "    });\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "catalogue[:10].show_in_notebook()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## II - Removal of duplicated sources"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We remove duplicated objects from the input catalogues."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "SORT_COLS = []\n",
    "for f in bands:\n",
    "    if 'irac' not in bands[f]:\n",
    "        SORT_COLS += ['merr_cosmos-' + bands[f]]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The initial catalogue had 93714 sources.\n",
      "The cleaned catalogue has 93629 sources (85 removed).\n",
      "The cleaned catalogue has 82 sources flagged as having been cleaned\n"
     ]
    }
   ],
   "source": [
    "#SORT_COLS = ['merr_ap_gpc1_r', 'merr_ap_gpc1_g', 'merr_ap_gpc1_i', 'merr_ap_gpc1_z', 'merr_ap_gpc1_y']\n",
    "FLAG_NAME = 'cosmos_flag_cleaned'\n",
    "\n",
    "nb_orig_sources = len(catalogue)\n",
    "\n",
    "catalogue = remove_duplicates(catalogue, RA_COL, DEC_COL,  sort_col=SORT_COLS, flag_name=FLAG_NAME)\n",
    "\n",
    "nb_sources = len(catalogue)\n",
    "\n",
    "print(\"The initial catalogue had {} sources.\".format(nb_orig_sources))\n",
    "print(\"The cleaned catalogue has {} sources ({} removed).\".format(nb_sources, nb_orig_sources - nb_sources))\n",
    "print(\"The cleaned catalogue has {} sources flagged as having been cleaned\".format(np.sum(catalogue[FLAG_NAME])))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## III - Astrometry correction\n",
    "\n",
    "We match the astrometry to the Gaia one. We limit the Gaia catalogue to sources with a g band flux between the 30th and the 70th percentile. Some quick tests show that this give the lower dispersion in the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_COSMOS.fits\")\n",
    "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n",
    "                    gaia_coords.ra, gaia_coords.dec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RA correction: -0.009482226306545272 arcsec\n",
      "Dec correction: -0.002729276520785362 arcsec\n"
     ]
    }
   ],
   "source": [
    "delta_ra, delta_dec =  astrometric_correction(\n",
    "    SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]),\n",
    "    gaia_coords\n",
    ")\n",
    "\n",
    "print(\"RA correction: {}\".format(delta_ra))\n",
    "print(\"Dec correction: {}\".format(delta_dec))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-2.633951751818131e-06"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "delta_ra.to(u.deg).value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "catalogue[RA_COL] +=  delta_ra.to(u.deg).value\n",
    "catalogue[DEC_COL] += delta_dec.to(u.deg).value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n",
    "                    gaia_coords.ra, gaia_coords.dec)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## IV - Flagging Gaia objects"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "catalogue.add_column(\n",
    "    gaia_flag_column(SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]), epoch, gaia)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "164 sources flagged.\n"
     ]
    }
   ],
   "source": [
    "GAIA_FLAG_NAME = \"cosmos_flag_gaia\"\n",
    "\n",
    "catalogue['flag_gaia'].name = GAIA_FLAG_NAME\n",
    "print(\"{} sources flagged.\".format(np.sum(catalogue[GAIA_FLAG_NAME] > 0)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# VI - Saving to disk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<i>Table length=5</i>\n",
       "<table id=\"table4893957872\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>cosmos_id</th><th>cosmos_ra</th><th>cosmos_dec</th><th>m_cosmos-vista_ks</th><th>merr_cosmos-vista_ks</th><th>f_cosmos-vista_ks</th><th>ferr_cosmos-vista_ks</th><th>m_cosmos-vista_y</th><th>merr_cosmos-vista_y</th><th>f_cosmos-vista_y</th><th>ferr_cosmos-vista_y</th><th>m_cosmos-vista_h</th><th>merr_cosmos-vista_h</th><th>f_cosmos-vista_h</th><th>ferr_cosmos-vista_h</th><th>m_cosmos-vista_j</th><th>merr_cosmos-vista_j</th><th>f_cosmos-vista_j</th><th>ferr_cosmos-vista_j</th><th>m_cosmos-megacam_u</th><th>merr_cosmos-megacam_u</th><th>f_cosmos-megacam_u</th><th>ferr_cosmos-megacam_u</th><th>m_cosmos-suprime_ia484</th><th>merr_cosmos-suprime_ia484</th><th>f_cosmos-suprime_ia484</th><th>ferr_cosmos-suprime_ia484</th><th>m_cosmos-suprime_ia527</th><th>merr_cosmos-suprime_ia527</th><th>f_cosmos-suprime_ia527</th><th>ferr_cosmos-suprime_ia527</th><th>m_cosmos-suprime_ia624</th><th>merr_cosmos-suprime_ia624</th><th>f_cosmos-suprime_ia624</th><th>ferr_cosmos-suprime_ia624</th><th>m_cosmos-suprime_ia679</th><th>merr_cosmos-suprime_ia679</th><th>f_cosmos-suprime_ia679</th><th>ferr_cosmos-suprime_ia679</th><th>m_cosmos-suprime_ia738</th><th>merr_cosmos-suprime_ia738</th><th>f_cosmos-suprime_ia738</th><th>ferr_cosmos-suprime_ia738</th><th>m_cosmos-suprime_ia767</th><th>merr_cosmos-suprime_ia767</th><th>f_cosmos-suprime_ia767</th><th>ferr_cosmos-suprime_ia767</th><th>m_cosmos-suprime_ib427</th><th>merr_cosmos-suprime_ib427</th><th>f_cosmos-suprime_ib427</th><th>ferr_cosmos-suprime_ib427</th><th>m_cosmos-suprime_ib464</th><th>merr_cosmos-suprime_ib464</th><th>f_cosmos-suprime_ib464</th><th>ferr_cosmos-suprime_ib464</th><th>m_cosmos-suprime_ib505</th><th>merr_cosmos-suprime_ib505</th><th>f_cosmos-suprime_ib505</th><th>ferr_cosmos-suprime_ib505</th><th>m_cosmos-suprime_ib574</th><th>merr_cosmos-suprime_ib574</th><th>f_cosmos-suprime_ib574</th><th>ferr_cosmos-suprime_ib574</th><th>m_cosmos-suprime_ib709</th><th>merr_cosmos-suprime_ib709</th><th>f_cosmos-suprime_ib709</th><th>ferr_cosmos-suprime_ib709</th><th>m_cosmos-suprime_ib827</th><th>merr_cosmos-suprime_ib827</th><th>f_cosmos-suprime_ib827</th><th>ferr_cosmos-suprime_ib827</th><th>m_cosmos-suprime_nb711</th><th>merr_cosmos-suprime_nb711</th><th>f_cosmos-suprime_nb711</th><th>ferr_cosmos-suprime_nb711</th><th>m_cosmos-suprime_nb816</th><th>merr_cosmos-suprime_nb816</th><th>f_cosmos-suprime_nb816</th><th>ferr_cosmos-suprime_nb816</th><th>m_cosmos-suprime_g</th><th>merr_cosmos-suprime_g</th><th>f_cosmos-suprime_g</th><th>ferr_cosmos-suprime_g</th><th>m_cosmos-suprime_r</th><th>merr_cosmos-suprime_r</th><th>f_cosmos-suprime_r</th><th>ferr_cosmos-suprime_r</th><th>m_cosmos-suprime_i</th><th>merr_cosmos-suprime_i</th><th>f_cosmos-suprime_i</th><th>ferr_cosmos-suprime_i</th><th>m_cosmos-suprime_z</th><th>merr_cosmos-suprime_z</th><th>f_cosmos-suprime_z</th><th>ferr_cosmos-suprime_z</th><th>m_cosmos-suprime_y</th><th>merr_cosmos-suprime_y</th><th>f_cosmos-suprime_y</th><th>ferr_cosmos-suprime_y</th><th>m_cosmos-irac_i1</th><th>merr_cosmos-irac_i1</th><th>f_cosmos-irac_i1</th><th>ferr_cosmos-irac_i1</th><th>m_cosmos-irac_i2</th><th>merr_cosmos-irac_i2</th><th>f_cosmos-irac_i2</th><th>ferr_cosmos-irac_i2</th><th>m_cosmos-irac_i3</th><th>merr_cosmos-irac_i3</th><th>f_cosmos-irac_i3</th><th>ferr_cosmos-irac_i3</th><th>m_cosmos-irac_i4</th><th>merr_cosmos-irac_i4</th><th>f_cosmos-irac_i4</th><th>ferr_cosmos-irac_i4</th><th>flag_cosmos-vista_ks</th><th>flag_cosmos-vista_y</th><th>flag_cosmos-vista_h</th><th>flag_cosmos-vista_j</th><th>flag_cosmos-megacam_u</th><th>flag_cosmos-suprime_ia484</th><th>flag_cosmos-suprime_ia527</th><th>flag_cosmos-suprime_ia624</th><th>flag_cosmos-suprime_ia679</th><th>flag_cosmos-suprime_ia738</th><th>flag_cosmos-suprime_ia767</th><th>flag_cosmos-suprime_ib427</th><th>flag_cosmos-suprime_ib464</th><th>flag_cosmos-suprime_ib505</th><th>flag_cosmos-suprime_ib574</th><th>flag_cosmos-suprime_ib709</th><th>flag_cosmos-suprime_ib827</th><th>flag_cosmos-suprime_nb711</th><th>flag_cosmos-suprime_nb816</th><th>flag_cosmos-suprime_g</th><th>flag_cosmos-suprime_r</th><th>flag_cosmos-suprime_i</th><th>flag_cosmos-suprime_z</th><th>flag_cosmos-suprime_y</th><th>flag_cosmos-irac_i1</th><th>flag_cosmos-irac_i2</th><th>cosmos_flag_cleaned</th><th>cosmos_flag_gaia</th></tr></thead>\n",
       "<thead><tr><th></th><th>deg</th><th>deg</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>uJy</th><th>uJy</th><th>uJy</th><th>mag</th><th>mag</th><th>uJy</th><th>uJy</th><th>mag</th><th>mag</th><th>uJy</th><th>uJy</th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th></tr></thead>\n",
       "<thead><tr><th>int64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>bool</th><th>int64</th></tr></thead>\n",
       "<tr><td>677526</td><td>149.85548041152128</td><td>2.1668934525120394</td><td>16.220589380037218</td><td>2.1368053782965233e-05</td><td>1179.6800853631157</td><td>0.023217164033288388</td><td>16.32839089831943</td><td>1.3310155413549473e-05</td><td>1068.178028524226</td><td>0.013094988133102373</td><td>16.019421697414174</td><td>1.4482458674667911e-05</td><td>1419.8135646597702</td><td>0.018938788561694953</td><td>16.060331818325867</td><td>1.1929299035218644e-05</td><td>1367.3108896881804</td><td>0.01502312441397167</td><td>23.1434637218306</td><td>0.0023003738365909607</td><td>2.0073102916423204</td><td>0.004257442260625196</td><td>20.41484341796753</td><td>0.0004730619987865889</td><td>24.77779370720112</td><td>0.01079819065314966</td><td>19.789220453247456</td><td>0.00024528777604142303</td><td>44.0871290675312</td><td>0.009961218415839905</td><td>19.187657590623374</td><td>0.00017902147865134858</td><td>76.72501177421213</td><td>0.012651837012825129</td><td>18.481248963239054</td><td>0.00012887531179426272</td><td>147.06198196871682</td><td>0.017457079875649935</td><td>17.581638082525025</td><td>0.00013485075614232066</td><td>336.7788169429387</td><td>0.04183124625266298</td><td>18.06576954566939</td><td>0.0003078411835053653</td><td>215.6215589775743</td><td>0.06114432450524137</td><td>21.860306174912466</td><td>0.001812940322588386</td><td>6.544515943192259</td><td>0.010937028832996359</td><td>20.556342004567068</td><td>0.0009216881914847875</td><td>21.75019716479581</td><td>0.018471716406262367</td><td>20.17890434181357</td><td>0.0005406438667841366</td><td>30.792025892281014</td><td>0.015336750665185007</td><td>19.541990529716</td><td>0.0003885836146390283</td><td>55.3609823858511</td><td>0.01981717164408433</td><td>18.446197736980984</td><td>0.00015705271631353372</td><td>151.88710526786286</td><td>0.02197219518484759</td><td>16.867748557756748</td><td>0.00010925474826024083</td><td>649.9808730878738</td><td>0.06540913844585934</td><td>18.14823168916235</td><td>0.0001603629154895316</td><td>199.8514595496077</td><td>0.02952018132088542</td><td>17.08818455329202</td><td>5.5685113812883725e-05</td><td>530.5498287421742</td><td>0.027211476506059252</td><td>20.32464336815353</td><td>0.0003216980575500516</td><td>26.924190377648276</td><td>0.007978681200256353</td><td>18.984831050298666</td><td>0.00017016981796455998</td><td>92.48420759610268</td><td>0.014496388804152627</td><td>18.431859590855673</td><td>0.00011196752823687516</td><td>153.9062170934886</td><td>0.0158725362770056</td><td>17.54682416788983</td><td>8.47200612590834e-05</td><td>347.7525576658703</td><td>0.02713621166461376</td><td>16.746119081582776</td><td>6.782167149628081e-05</td><td>727.0300594449865</td><td>0.0454161275328641</td><td>17.27776890891024</td><td>3.724198404774e-05</td><td>445.54588448402234</td><td>0.015282991607505951</td><td>17.485016836908244</td><td>5.659351472806345e-05</td><td>368.1232649762222</td><td>0.019188760862771527</td><td>17.718202590942383</td><td>0.044296447187662125</td><td>296.9741516113281</td><td>12.116110801696777</td><td>18.454204559326172</td><td>0.08196738362312317</td><td>150.77122497558594</td><td>11.382436752319336</td><td>True</td><td>True</td><td>True</td><td>True</td><td>False</td><td>False</td><td>True</td><td>True</td><td>True</td><td>True</td><td>True</td><td>False</td><td>False</td><td>False</td><td>True</td><td>True</td><td>True</td><td>True</td><td>True</td><td>True</td><td>True</td><td>True</td><td>True</td><td>True</td><td>True</td><td>True</td><td>False</td><td>0</td></tr>\n",
       "<tr><td>841179</td><td>150.01337562119255</td><td>2.0295579393142917</td><td>14.637010057426812</td><td>2.614777861625233e-05</td><td>5072.195413783894</td><td>0.12215512316200774</td><td>15.036008965429373</td><td>3.834074808453638e-05</td><td>3512.338901519363</td><td>0.12403388427338885</td><td>14.595060308589488</td><td>3.729526523203763e-05</td><td>5272.005765872715</td><td>0.1810976087047976</td><td>14.77784313187518</td><td>3.454375297809228e-05</td><td>4455.15427172117</td><td>0.1417473196494324</td><td>18.662617341502425</td><td>0.0001736367040724581</td><td>124.43801174783155</td><td>0.019902379576425266</td><td>16.812053575050967</td><td>6.686386836295362e-05</td><td>684.1929108131842</td><td>0.042136564310360426</td><td>16.554402094440682</td><td>5.257707641441668e-05</td><td>867.4394356643139</td><td>0.04200701200525574</td><td>16.11093770072692</td><td>7.748961845660742e-05</td><td>1305.0432950411875</td><td>0.09314501570638418</td><td>15.76494604542642</td><td>7.039146554950536e-05</td><td>1794.8228165391756</td><td>0.11636740443566898</td><td>15.753993737170052</td><td>7.119752919836082e-05</td><td>1813.019624990885</td><td>0.11889329058918462</td><td>15.782088787728307</td><td>8.273819986109503e-05</td><td>1766.7068174112471</td><td>0.13463648981570323</td><td>17.86264848350936</td><td>0.00020001240948006691</td><td>259.9803993905939</td><td>0.04789754249345857</td><td>17.20095301807966</td><td>0.00014101252131788782</td><td>478.21015330297394</td><td>0.06211269218106065</td><td>16.588761265373783</td><td>6.879722188516578e-05</td><td>840.4182870487758</td><td>0.05325444152679363</td><td>16.29298963191532</td><td>6.210772276867936e-05</td><td>1103.5808284030936</td><td>0.06313030021819623</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>16.849704205301236</td><td>6.272076454206352e-05</td><td>660.8734698601579</td><td>0.03817841423327691</td><td>16.03757625547511</td><td>4.109011280363186e-05</td><td>1396.2702921206467</td><td>0.052843397153044855</td><td>15.655315677614459</td><td>2.5470709077258083e-05</td><td>1985.5175445419472</td><td>0.046579576814446334</td><td>15.299616444710853</td><td>2.853349600217853e-05</td><td>2755.2018546429904</td><td>0.07240854066573055</td><td>15.071200784142551</td><td>3.3488586782083096e-05</td><td>3400.3191892476125</td><td>0.10488149876064458</td><td>17.587305060821727</td><td>0.0001648520559575714</td><td>335.02558613413623</td><td>0.05087225563852828</td><td>18.210985910160673</td><td>0.00023861502110277157</td><td>188.6277723836254</td><td>0.041459763403491716</td><td>16.501176834106445</td><td>0.00994262844324112</td><td>911.0223999023438</td><td>8.342687606811523</td><td>17.198640823364258</td><td>0.03996475413441658</td><td>479.229248046875</td><td>17.639902114868164</td><td>True</td><td>True</td><td>True</td><td>True</td><td>False</td><td>True</td><td>True</td><td>True</td><td>True</td><td>True</td><td>True</td><td>False</td><td>False</td><td>True</td><td>True</td><td>False</td><td>False</td><td>False</td><td>False</td><td>True</td><td>True</td><td>True</td><td>True</td><td>True</td><td>True</td><td>True</td><td>False</td><td>0</td></tr>\n",
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       "</table>"
      ],
      "text/plain": [
       "<Table length=5>\n",
       "cosmos_id     cosmos_ra      ... cosmos_flag_cleaned cosmos_flag_gaia\n",
       "                 deg         ...                                     \n",
       "  int64        float64       ...         bool             int64      \n",
       "--------- ------------------ ... ------------------- ----------------\n",
       "   677526 149.85548041152128 ...               False                0\n",
       "   841179 150.01337562119255 ...               False                0\n",
       "   455735  150.1622150430871 ...               False                0\n",
       "   473944 150.20604798801895 ...               False                0\n",
       "   472612 150.18752465229147 ...               False                0"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "catalogue[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "catalogue.write(\"{}/COSMOS2020-Farmer_HELP.fits\".format(OUT_DIR), overwrite=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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