{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# COSMOS master catalogue\n",
    "## Convert COSMOS2016 to help format for comparison and homogeniety\n",
    "\n",
    "This catalogue comes from `dmu1_COSMOS2015`. At present we will only cross match the ids into the HELP masterlist. to go into the cross id table. This will allow comparisons for our internal testing as well as allow users of the COSMOS catalogue to get other fluxes and HELP products.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This notebook was run with herschelhelp_internal version: \n",
      "0246c5d (Thu Jan 25 17:01:47 2018 +0000) [with local modifications]\n",
      "This notebook was executed on: \n",
      "2018-02-16 17:22:05.499160\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": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "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": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "OUT_DIR =  os.environ.get('TMP_DIR', \"./data_tmp\")\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": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## I - Column selection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "bands = OrderedDict({\n",
    "    'ks': 'vista_ks',\n",
    "    'y': 'vista_y',\n",
    "    'h': 'vista_h',\n",
    "    'j': 'vista_j',\n",
    "\n",
    "    #CFHT Megacam\n",
    "    'u': 'megacam_u',\n",
    "    #SUBARU Suprime\n",
    "    'b': 'suprime_b',\n",
    "    'v': 'suprime_v',\n",
    "    'ip': 'suprime_ip',\n",
    "    'r': 'suprime_rc',\n",
    "    'zp': 'suprime_zp',\n",
    "    'zpp': 'suprime_zpp',\n",
    "    'ia484': 'suprime_ia484',\n",
    "    'ia527': 'suprime_ia527',\n",
    "    'ia624': 'suprime_ia624',\n",
    "    'ia679': 'suprime_ia679',\n",
    "    'ia738': 'suprime_ia738',\n",
    "    'ia767': 'suprime_ia767',\n",
    "    'ib427': 'suprime_ib427',\n",
    "    'ib464': 'suprime_ib464',\n",
    "    'ib505': 'suprime_ib505',\n",
    "    'ib574': 'suprime_ib574',\n",
    "    'ib709': 'suprime_ib709',\n",
    "    'ib827': 'suprime_ib827',\n",
    "    'nb711': 'suprime_nb711',\n",
    "    'nb816': 'suprime_nb816',\n",
    "    #CFHT WIRCAM\n",
    "    'hw': 'wircam_h',\n",
    "    'ksw': 'wircam_ks',\n",
    "    #SUBARU HSC\n",
    "    'yhsc': 'suprime_y',\n",
    "    #Spitzer IRAC\n",
    "    'splash_1': 'irac_i1', #'irac_i1'???\n",
    "    'splash_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": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "imported_columns = OrderedDict({\n",
    "    'help_id': 'help_id',\n",
    "    'id': 'cosmos_id',\n",
    "    'alpha_j2000': 'cosmos_ra',\n",
    "    'delta_j2000': 'cosmos_dec',\n",
    "    'class': 'cosmos_stellarity',\n",
    "})\n",
    "\n",
    "for band in list(bands):\n",
    "    if 'splash' not in band:\n",
    "        imported_columns.update({band + '_mag_auto': 'm_cosmos-' + bands[band]})\n",
    "        imported_columns.update({band + '_magerr_auto': 'merr_cosmos-' + bands[band]})\n",
    "        imported_columns.update({band + '_flux_aper2': 'f_ap_cosmos-' + bands[band]})\n",
    "        imported_columns.update({band + '_fluxerr_aper2': 'ferr_ap_cosmos-' + bands[band]})\n",
    "    elif 'splash' in band:\n",
    "        imported_columns.update({band + '_flux': 'f_cosmos-' + bands[band]})\n",
    "        imported_columns.update({band + '_flux_err': 'ferr_cosmos-' + bands[band]})\n",
    "        imported_columns.update({band + '_mag': 'm_cosmos-' + bands[band]})\n",
    "        imported_columns.update({band + '_magerr': 'merr_cosmos-' + bands[band]})        \n",
    "        \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: UnitsWarning: The unit 'erg' has been deprecated in the FITS standard. Suggested: cm2 g s-2. [astropy.units.format.utils]\n",
      "WARNING: UnitsWarning: 'log(Msun)' did not parse as fits unit: At col 4, Unit 'Msun' not supported by the FITS standard. Did you mean Sun? [astropy.units.core]\n",
      "WARNING: UnitsWarning: 'log(Msun/yr)' did not parse as fits unit: At col 4, Unit 'Msun' not supported by the FITS standard. Did you mean Sun? [astropy.units.core]\n",
      "WARNING: UnitsWarning: 'log(yr**-1)' did not parse as fits unit: 'log' is not a recognized function [astropy.units.core]\n",
      "WARNING: UnitsWarning: 'log(erg.s**-1.Hz**-1)' did not parse as fits unit: 'log' is not a recognized function [astropy.units.core]\n"
     ]
    }
   ],
   "source": [
    "\n",
    "catalogue = Table.read(\"../../dmu0/dmu0_COSMOS2015/data/COSMOS2015-HELP_selected_20160613.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": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n",
      "Check the NumPy 1.11 release notes for more information.\n",
      "  ma.MaskedArray.__setitem__(self, index, value)\n",
      "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:39: RuntimeWarning: overflow encountered in power\n",
      "  fluxes = 10 ** ((8.9 - magnitudes)/2.5)\n",
      "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: invalid value encountered in log10\n",
      "  magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n",
      "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: divide by zero encountered in log10\n",
      "  magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n",
      "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:80: RuntimeWarning: invalid value encountered in true_divide\n",
      "  errors = 2.5 / np.log(10) * errors_on_fluxes / fluxes\n"
     ]
    }
   ],
   "source": [
    "# Adding flux and band-flag columns\n",
    "for col in catalogue.colnames:\n",
    "    #print(col)\n",
    "    if 'irac' in col:\n",
    "        if col.startswith('f_'):\n",
    "            catalogue.add_column(Column(np.zeros(len(catalogue), dtype=bool), name=\"flag{}\".format(col[1:])))\n",
    "            mask = ( (catalogue[col] < 90.)\n",
    "                   | (catalogue[col.replace('f_', 'ferr_')] < 90.)\n",
    "                   )\n",
    "            catalogue[col][mask] = np.nan\n",
    "            catalogue[col.replace('f_', 'ferr_')][mask] = np.nan\n",
    "        if col.startswith('m_'):\n",
    "           \n",
    "            mask = ( (catalogue[col] < 90.)\n",
    "                   | (catalogue[col.replace('m_', 'merr_')] < 90.)\n",
    "                   )\n",
    "            catalogue[col][mask] = np.nan\n",
    "            catalogue[col.replace('m_', 'merr_')][mask] = np.nan\n",
    "        continue\n",
    "    if col.startswith('m_'):\n",
    "        \n",
    "        errcol = \"merr{}\".format(col[1:])\n",
    "        \n",
    "        \n",
    "        mask = (catalogue[col] > 90.) | (catalogue[col] < 0.)\n",
    "        catalogue[col][mask] = np.nan\n",
    "        catalogue[errcol][mask]  = np.nan     \n",
    "        \n",
    "        flux, error = mag_to_flux(np.array(catalogue[col]), np.array(catalogue[errcol]))\n",
    "        \n",
    "        # Fluxes are added in µJy\n",
    "        catalogue.add_column(Column(flux * 1.e6, name=\"f{}\".format(col[1:])))\n",
    "        catalogue.add_column(Column(error * 1.e6, name=\"f{}\".format(errcol[1:])))\n",
    "        \n",
    "        # Band-flag column\n",
    "        if \"ap\" not in col:\n",
    "            catalogue.add_column(Column(np.zeros(len(catalogue), dtype=bool), name=\"flag{}\".format(col[1:])))\n",
    "    if col.startswith('f_'):\n",
    "        errcol = \"ferr{}\".format(col[1:])\n",
    "        \n",
    "        mask = (np.isclose(catalogue[col] , -99.9) )\n",
    "        catalogue[col][mask] = np.nan\n",
    "        catalogue[errcol][mask] = np.nan \n",
    "        \n",
    "        mag, error = flux_to_mag(np.array(catalogue[col])* 1.e-6, np.array(catalogue[errcol])* 1.e-6)\n",
    "        # Mags added\n",
    "        catalogue.add_column(Column(mag , name=\"m{}\".format(col[1:])))\n",
    "        catalogue.add_column(Column(error , name=\"m{}\".format(errcol[1:])))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "&lt;Table masked=True length=10&gt;\n",
       "<table id=\"table140091529174096-831444\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>idx</th><th>help_id</th><th>cosmos_id</th><th>cosmos_ra</th><th>cosmos_dec</th><th>cosmos_stellarity</th><th>m_cosmos-vista_ks</th><th>merr_cosmos-vista_ks</th><th>f_ap_cosmos-vista_ks</th><th>ferr_ap_cosmos-vista_ks</th><th>m_cosmos-vista_y</th><th>merr_cosmos-vista_y</th><th>f_ap_cosmos-vista_y</th><th>ferr_ap_cosmos-vista_y</th><th>m_cosmos-vista_h</th><th>merr_cosmos-vista_h</th><th>f_ap_cosmos-vista_h</th><th>ferr_ap_cosmos-vista_h</th><th>m_cosmos-vista_j</th><th>merr_cosmos-vista_j</th><th>f_ap_cosmos-vista_j</th><th>ferr_ap_cosmos-vista_j</th><th>m_cosmos-megacam_u</th><th>merr_cosmos-megacam_u</th><th>f_ap_cosmos-megacam_u</th><th>ferr_ap_cosmos-megacam_u</th><th>m_cosmos-suprime_b</th><th>merr_cosmos-suprime_b</th><th>f_ap_cosmos-suprime_b</th><th>ferr_ap_cosmos-suprime_b</th><th>m_cosmos-suprime_v</th><th>merr_cosmos-suprime_v</th><th>f_ap_cosmos-suprime_v</th><th>ferr_ap_cosmos-suprime_v</th><th>m_cosmos-suprime_ip</th><th>merr_cosmos-suprime_ip</th><th>f_ap_cosmos-suprime_ip</th><th>ferr_ap_cosmos-suprime_ip</th><th>m_cosmos-suprime_rc</th><th>merr_cosmos-suprime_rc</th><th>f_ap_cosmos-suprime_rc</th><th>ferr_ap_cosmos-suprime_rc</th><th>m_cosmos-suprime_zp</th><th>merr_cosmos-suprime_zp</th><th>f_ap_cosmos-suprime_zp</th><th>ferr_ap_cosmos-suprime_zp</th><th>m_cosmos-suprime_zpp</th><th>merr_cosmos-suprime_zpp</th><th>f_ap_cosmos-suprime_zpp</th><th>ferr_ap_cosmos-suprime_zpp</th><th>m_cosmos-suprime_ia484</th><th>merr_cosmos-suprime_ia484</th><th>f_ap_cosmos-suprime_ia484</th><th>ferr_ap_cosmos-suprime_ia484</th><th>m_cosmos-suprime_ia527</th><th>merr_cosmos-suprime_ia527</th><th>f_ap_cosmos-suprime_ia527</th><th>ferr_ap_cosmos-suprime_ia527</th><th>m_cosmos-suprime_ia624</th><th>merr_cosmos-suprime_ia624</th><th>f_ap_cosmos-suprime_ia624</th><th>ferr_ap_cosmos-suprime_ia624</th><th>m_cosmos-suprime_ia679</th><th>merr_cosmos-suprime_ia679</th><th>f_ap_cosmos-suprime_ia679</th><th>ferr_ap_cosmos-suprime_ia679</th><th>m_cosmos-suprime_ia738</th><th>merr_cosmos-suprime_ia738</th><th>f_ap_cosmos-suprime_ia738</th><th>ferr_ap_cosmos-suprime_ia738</th><th>m_cosmos-suprime_ia767</th><th>merr_cosmos-suprime_ia767</th><th>f_ap_cosmos-suprime_ia767</th><th>ferr_ap_cosmos-suprime_ia767</th><th>m_cosmos-suprime_ib427</th><th>merr_cosmos-suprime_ib427</th><th>f_ap_cosmos-suprime_ib427</th><th>ferr_ap_cosmos-suprime_ib427</th><th>m_cosmos-suprime_ib464</th><th>merr_cosmos-suprime_ib464</th><th>f_ap_cosmos-suprime_ib464</th><th>ferr_ap_cosmos-suprime_ib464</th><th>m_cosmos-suprime_ib505</th><th>merr_cosmos-suprime_ib505</th><th>f_ap_cosmos-suprime_ib505</th><th>ferr_ap_cosmos-suprime_ib505</th><th>m_cosmos-suprime_ib574</th><th>merr_cosmos-suprime_ib574</th><th>f_ap_cosmos-suprime_ib574</th><th>ferr_ap_cosmos-suprime_ib574</th><th>m_cosmos-suprime_ib709</th><th>merr_cosmos-suprime_ib709</th><th>f_ap_cosmos-suprime_ib709</th><th>ferr_ap_cosmos-suprime_ib709</th><th>m_cosmos-suprime_ib827</th><th>merr_cosmos-suprime_ib827</th><th>f_ap_cosmos-suprime_ib827</th><th>ferr_ap_cosmos-suprime_ib827</th><th>m_cosmos-suprime_nb711</th><th>merr_cosmos-suprime_nb711</th><th>f_ap_cosmos-suprime_nb711</th><th>ferr_ap_cosmos-suprime_nb711</th><th>m_cosmos-suprime_nb816</th><th>merr_cosmos-suprime_nb816</th><th>f_ap_cosmos-suprime_nb816</th><th>ferr_ap_cosmos-suprime_nb816</th><th>m_cosmos-wircam_h</th><th>merr_cosmos-wircam_h</th><th>f_ap_cosmos-wircam_h</th><th>ferr_ap_cosmos-wircam_h</th><th>m_cosmos-wircam_ks</th><th>merr_cosmos-wircam_ks</th><th>f_ap_cosmos-wircam_ks</th><th>ferr_ap_cosmos-wircam_ks</th><th>m_cosmos-suprime_y</th><th>merr_cosmos-suprime_y</th><th>f_ap_cosmos-suprime_y</th><th>ferr_ap_cosmos-suprime_y</th><th>f_cosmos-irac_i1</th><th>ferr_cosmos-irac_i1</th><th>m_cosmos-irac_i1</th><th>merr_cosmos-irac_i1</th><th>f_cosmos-irac_i2</th><th>ferr_cosmos-irac_i2</th><th>m_cosmos-irac_i2</th><th>merr_cosmos-irac_i2</th><th>f_cosmos-irac_i3</th><th>ferr_cosmos-irac_i3</th><th>m_cosmos-irac_i3</th><th>merr_cosmos-irac_i3</th><th>f_cosmos-irac_i4</th><th>ferr_cosmos-irac_i4</th><th>m_cosmos-irac_i4</th><th>merr_cosmos-irac_i4</th><th>f_cosmos-vista_ks</th><th>ferr_cosmos-vista_ks</th><th>flag_cosmos-vista_ks</th><th>m_ap_cosmos-vista_ks</th><th>merr_ap_cosmos-vista_ks</th><th>f_cosmos-vista_y</th><th>ferr_cosmos-vista_y</th><th>flag_cosmos-vista_y</th><th>m_ap_cosmos-vista_y</th><th>merr_ap_cosmos-vista_y</th><th>f_cosmos-vista_h</th><th>ferr_cosmos-vista_h</th><th>flag_cosmos-vista_h</th><th>m_ap_cosmos-vista_h</th><th>merr_ap_cosmos-vista_h</th><th>f_cosmos-vista_j</th><th>ferr_cosmos-vista_j</th><th>flag_cosmos-vista_j</th><th>m_ap_cosmos-vista_j</th><th>merr_ap_cosmos-vista_j</th><th>f_cosmos-megacam_u</th><th>ferr_cosmos-megacam_u</th><th>flag_cosmos-megacam_u</th><th>m_ap_cosmos-megacam_u</th><th>merr_ap_cosmos-megacam_u</th><th>f_cosmos-suprime_b</th><th>ferr_cosmos-suprime_b</th><th>flag_cosmos-suprime_b</th><th>m_ap_cosmos-suprime_b</th><th>merr_ap_cosmos-suprime_b</th><th>f_cosmos-suprime_v</th><th>ferr_cosmos-suprime_v</th><th>flag_cosmos-suprime_v</th><th>m_ap_cosmos-suprime_v</th><th>merr_ap_cosmos-suprime_v</th><th>f_cosmos-suprime_ip</th><th>ferr_cosmos-suprime_ip</th><th>flag_cosmos-suprime_ip</th><th>m_ap_cosmos-suprime_ip</th><th>merr_ap_cosmos-suprime_ip</th><th>f_cosmos-suprime_rc</th><th>ferr_cosmos-suprime_rc</th><th>flag_cosmos-suprime_rc</th><th>m_ap_cosmos-suprime_rc</th><th>merr_ap_cosmos-suprime_rc</th><th>f_cosmos-suprime_zp</th><th>ferr_cosmos-suprime_zp</th><th>flag_cosmos-suprime_zp</th><th>m_ap_cosmos-suprime_zp</th><th>merr_ap_cosmos-suprime_zp</th><th>f_cosmos-suprime_zpp</th><th>ferr_cosmos-suprime_zpp</th><th>flag_cosmos-suprime_zpp</th><th>m_ap_cosmos-suprime_zpp</th><th>merr_ap_cosmos-suprime_zpp</th><th>f_cosmos-suprime_ia484</th><th>ferr_cosmos-suprime_ia484</th><th>flag_cosmos-suprime_ia484</th><th>m_ap_cosmos-suprime_ia484</th><th>merr_ap_cosmos-suprime_ia484</th><th>f_cosmos-suprime_ia527</th><th>ferr_cosmos-suprime_ia527</th><th>flag_cosmos-suprime_ia527</th><th>m_ap_cosmos-suprime_ia527</th><th>merr_ap_cosmos-suprime_ia527</th><th>f_cosmos-suprime_ia624</th><th>ferr_cosmos-suprime_ia624</th><th>flag_cosmos-suprime_ia624</th><th>m_ap_cosmos-suprime_ia624</th><th>merr_ap_cosmos-suprime_ia624</th><th>f_cosmos-suprime_ia679</th><th>ferr_cosmos-suprime_ia679</th><th>flag_cosmos-suprime_ia679</th><th>m_ap_cosmos-suprime_ia679</th><th>merr_ap_cosmos-suprime_ia679</th><th>f_cosmos-suprime_ia738</th><th>ferr_cosmos-suprime_ia738</th><th>flag_cosmos-suprime_ia738</th><th>m_ap_cosmos-suprime_ia738</th><th>merr_ap_cosmos-suprime_ia738</th><th>f_cosmos-suprime_ia767</th><th>ferr_cosmos-suprime_ia767</th><th>flag_cosmos-suprime_ia767</th><th>m_ap_cosmos-suprime_ia767</th><th>merr_ap_cosmos-suprime_ia767</th><th>f_cosmos-suprime_ib427</th><th>ferr_cosmos-suprime_ib427</th><th>flag_cosmos-suprime_ib427</th><th>m_ap_cosmos-suprime_ib427</th><th>merr_ap_cosmos-suprime_ib427</th><th>f_cosmos-suprime_ib464</th><th>ferr_cosmos-suprime_ib464</th><th>flag_cosmos-suprime_ib464</th><th>m_ap_cosmos-suprime_ib464</th><th>merr_ap_cosmos-suprime_ib464</th><th>f_cosmos-suprime_ib505</th><th>ferr_cosmos-suprime_ib505</th><th>flag_cosmos-suprime_ib505</th><th>m_ap_cosmos-suprime_ib505</th><th>merr_ap_cosmos-suprime_ib505</th><th>f_cosmos-suprime_ib574</th><th>ferr_cosmos-suprime_ib574</th><th>flag_cosmos-suprime_ib574</th><th>m_ap_cosmos-suprime_ib574</th><th>merr_ap_cosmos-suprime_ib574</th><th>f_cosmos-suprime_ib709</th><th>ferr_cosmos-suprime_ib709</th><th>flag_cosmos-suprime_ib709</th><th>m_ap_cosmos-suprime_ib709</th><th>merr_ap_cosmos-suprime_ib709</th><th>f_cosmos-suprime_ib827</th><th>ferr_cosmos-suprime_ib827</th><th>flag_cosmos-suprime_ib827</th><th>m_ap_cosmos-suprime_ib827</th><th>merr_ap_cosmos-suprime_ib827</th><th>f_cosmos-suprime_nb711</th><th>ferr_cosmos-suprime_nb711</th><th>flag_cosmos-suprime_nb711</th><th>m_ap_cosmos-suprime_nb711</th><th>merr_ap_cosmos-suprime_nb711</th><th>f_cosmos-suprime_nb816</th><th>ferr_cosmos-suprime_nb816</th><th>flag_cosmos-suprime_nb816</th><th>m_ap_cosmos-suprime_nb816</th><th>merr_ap_cosmos-suprime_nb816</th><th>f_cosmos-wircam_h</th><th>ferr_cosmos-wircam_h</th><th>flag_cosmos-wircam_h</th><th>m_ap_cosmos-wircam_h</th><th>merr_ap_cosmos-wircam_h</th><th>f_cosmos-wircam_ks</th><th>ferr_cosmos-wircam_ks</th><th>flag_cosmos-wircam_ks</th><th>m_ap_cosmos-wircam_ks</th><th>merr_ap_cosmos-wircam_ks</th><th>f_cosmos-suprime_y</th><th>ferr_cosmos-suprime_y</th><th>flag_cosmos-suprime_y</th><th>m_ap_cosmos-suprime_y</th><th>merr_ap_cosmos-suprime_y</th><th>flag_cosmos-irac_i1</th><th>flag_cosmos-irac_i2</th><th>flag_cosmos-irac_i3</th><th>flag_cosmos-irac_i4</th></tr></thead>\n",
       "<thead><tr><th></th><th></th><th></th><th>deg</th><th>deg</th><th></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>mag</th><th>mag</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>mag</th><th>mag</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>mag</th><th>mag</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>mag</th><th>mag</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>mag</th><th>mag</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>mag</th><th>mag</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>mag</th><th>mag</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>mag</th><th>mag</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>mag</th><th>mag</th><th>uJy</th><th>uJy</th><th>mag</th><th>mag</th><th>uJy</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>mag</th><th>mag</th><th>uJy</th><th>uJy</th><th>mag</th><th>mag</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><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></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><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></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><th></th><th></th></tr></thead>\n",
       "<tr><td>0</td><td>HELP_J095924.21+014209.17</td><td>COSMOS2015_J095924.21+014209.17</td><td>149.850867691</td><td>1.70254742171</td><td>1</td><td>23.368</td><td>0.038625</td><td>1.44011</td><td>0.122214</td><td>24.2603</td><td>0.0362804</td><td>0.665496</td><td>0.0592985</td><td>23.8224</td><td>0.0579091</td><td>1.0327</td><td>0.126781</td><td>24.0252</td><td>0.0463453</td><td>0.854994</td><td>0.0891994</td><td>25.1487</td><td>0.045078</td><td>0.29225</td><td>0.0231436</td><td>24.9013</td><td>0.0396198</td><td>0.342041</td><td>0.019946</td><td>24.4041</td><td>0.0397128</td><td>0.548143</td><td>0.0346172</td><td>24.4912</td><td>0.0472625</td><td>0.502534</td><td>0.0265133</td><td>24.6033</td><td>0.0439981</td><td>0.478497</td><td>0.0258971</td><td>24.5448</td><td>0.102007</td><td>0.529982</td><td>0.148783</td><td>24.4623</td><td>0.0414833</td><td>0.542784</td><td>0.035627</td><td>24.4047</td><td>0.0469661</td><td>0.552519</td><td>0.0357304</td><td>24.6186</td><td>0.0570437</td><td>0.460599</td><td>0.031876</td><td>24.4324</td><td>0.0737302</td><td>0.532192</td><td>0.0454433</td><td>24.3909</td><td>0.0656339</td><td>0.588624</td><td>0.059943</td><td>24.5868</td><td>0.115163</td><td>0.478943</td><td>0.0644771</td><td>24.6054</td><td>0.114925</td><td>0.428617</td><td>0.0764725</td><td>24.9833</td><td>0.0753717</td><td>0.33879</td><td>0.0334068</td><td>24.8142</td><td>0.0741258</td><td>0.404164</td><td>0.0395326</td><td>24.7789</td><td>0.10551</td><td>0.399282</td><td>0.0543534</td><td>24.5073</td><td>0.0605135</td><td>0.5165</td><td>0.0479794</td><td>24.456</td><td>0.0567957</td><td>0.548637</td><td>0.0419922</td><td>24.5026</td><td>0.0663694</td><td>0.531549</td><td>0.0609935</td><td>24.5031</td><td>0.13938</td><td>0.497211</td><td>0.0694895</td><td>24.4341</td><td>0.0612658</td><td>0.570744</td><td>0.0671466</td><td>23.6871</td><td>0.156202</td><td>1.05264</td><td>0.279667</td><td>23.4874</td><td>0.128419</td><td>1.42296</td><td>0.277124</td><td>24.3681</td><td>0.128758</td><td>0.568924</td><td>0.128587</td><td>1.28369</td><td>0.0731848</td><td>23.6289</td><td>0.0618992</td><td>1.66542</td><td>0.0878906</td><td>23.3462</td><td>0.0572984</td><td>0.0</td><td>2.43657</td><td>-99.9</td><td>-99.9</td><td>0.0</td><td>2.29602</td><td>-99.9</td><td>-99.9</td><td>1.6323</td><td>0.058069</td><td>False</td><td>23.504</td><td>0.0921403</td><td>0.717596</td><td>0.0239788</td><td>False</td><td>24.3421</td><td>0.0967437</td><td>1.07409</td><td>0.0572879</td><td>False</td><td>23.8651</td><td>0.133292</td><td>0.891086</td><td>0.0380365</td><td>False</td><td>24.0701</td><td>0.113272</td><td>0.316606</td><td>0.013145</td><td>False</td><td>25.2356</td><td>0.0859806</td><td>0.39763</td><td>0.01451</td><td>False</td><td>25.0648</td><td>0.0633143</td><td>0.628579</td><td>0.0229914</td><td>False</td><td>24.5528</td><td>0.0685681</td><td>0.580123</td><td>0.025253</td><td>False</td><td>24.6471</td><td>0.0572826</td><td>0.523215</td><td>0.0212026</td><td>False</td><td>24.7003</td><td>0.058762</td><td>0.552179</td><td>0.0518783</td><td>False</td><td>24.5893</td><td>0.304801</td><td>0.595772</td><td>0.022763</td><td>False</td><td>24.5634</td><td>0.071265</td><td>0.628232</td><td>0.0271757</td><td>False</td><td>24.5441</td><td>0.0702126</td><td>0.515893</td><td>0.0271046</td><td>False</td><td>24.7417</td><td>0.075139</td><td>0.612406</td><td>0.0415873</td><td>False</td><td>24.5848</td><td>0.0927098</td><td>0.636268</td><td>0.0384631</td><td>False</td><td>24.4754</td><td>0.110567</td><td>0.531227</td><td>0.0563467</td><td>False</td><td>24.6993</td><td>0.146166</td><td>0.522203</td><td>0.0552751</td><td>False</td><td>24.8198</td><td>0.193714</td><td>0.368706</td><td>0.0255955</td><td>False</td><td>25.0752</td><td>0.10706</td><td>0.430844</td><td>0.0294148</td><td>False</td><td>24.8836</td><td>0.106199</td><td>0.445082</td><td>0.0432523</td><td>False</td><td>24.8968</td><td>0.147799</td><td>0.571584</td><td>0.0318572</td><td>False</td><td>24.6173</td><td>0.100858</td><td>0.599239</td><td>0.0313467</td><td>False</td><td>24.5518</td><td>0.0831013</td><td>0.574063</td><td>0.0350916</td><td>False</td><td>24.5861</td><td>0.124585</td><td>0.573799</td><td>0.0736607</td><td>False</td><td>24.6587</td><td>0.151741</td><td>0.611449</td><td>0.0345028</td><td>False</td><td>24.5089</td><td>0.127734</td><td>1.21663</td><td>0.175034</td><td>False</td><td>23.8443</td><td>0.28846</td><td>1.46231</td><td>0.17296</td><td>False</td><td>23.517</td><td>0.211449</td><td>0.649771</td><td>0.0770567</td><td>False</td><td>24.5124</td><td>0.245396</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>1</td><td>HELP_J095924.54+014136.54</td><td>COSMOS2015_J095924.54+014136.54</td><td>149.852255925</td><td>1.69348273188</td><td>1</td><td>23.1239</td><td>0.0392749</td><td>1.90038</td><td>0.11392</td><td>23.1791</td><td>0.0171247</td><td>1.70933</td><td>0.0577259</td><td>23.0117</td><td>0.0344927</td><td>1.8408</td><td>0.116772</td><td>23.1534</td><td>0.0263453</td><td>1.68225</td><td>0.0848063</td><td>24.8833</td><td>0.0404012</td><td>0.323209</td><td>0.0230909</td><td>24.9383</td><td>0.0410837</td><td>0.313173</td><td>0.0188512</td><td>24.172</td><td>0.0357377</td><td>0.66225</td><td>0.0368864</td><td>23.495</td><td>0.0235809</td><td>1.18695</td><td>0.0315341</td><td>23.8124</td><td>0.0257833</td><td>0.921354</td><td>0.0308702</td><td>23.3648</td><td>0.0386461</td><td>1.40717</td><td>0.148292</td><td>23.4053</td><td>0.0180131</td><td>1.36431</td><td>0.0364599</td><td>24.3814</td><td>0.0913572</td><td>0.447487</td><td>0.0660414</td><td>24.6723</td><td>0.0998384</td><td>0.423051</td><td>0.0453505</td><td>23.7706</td><td>0.0409229</td><td>0.946368</td><td>0.0407176</td><td>23.4404</td><td>0.0266425</td><td>1.25808</td><td>0.0532497</td><td>23.3409</td><td>0.0423473</td><td>1.45036</td><td>0.0665032</td><td>23.3405</td><td>0.0393715</td><td>1.45852</td><td>0.0725783</td><td>24.9181</td><td>0.0749032</td><td>0.353394</td><td>0.0305813</td><td>24.4812</td><td>0.0581957</td><td>0.453784</td><td>0.0367634</td><td>24.5661</td><td>0.0795267</td><td>0.485355</td><td>0.0431223</td><td>24.124</td><td>0.0459836</td><td>0.695095</td><td>0.0459419</td><td>23.5386</td><td>0.0271604</td><td>1.13274</td><td>0.0418163</td><td>23.5926</td><td>0.0357349</td><td>1.05173</td><td>0.063778</td><td>23.741</td><td>0.0757087</td><td>0.997675</td><td>0.0662802</td><td>23.4747</td><td>0.0295199</td><td>1.26628</td><td>0.0686206</td><td>23.2606</td><td>0.129958</td><td>1.59813</td><td>0.300866</td><td>23.7617</td><td>0.202935</td><td>1.1414</td><td>0.298776</td><td>23.2132</td><td>0.0528208</td><td>1.62348</td><td>0.133124</td><td>1.56835</td><td>0.087806</td><td>23.4114</td><td>0.0607864</td><td>0.962818</td><td>0.127228</td><td>23.9411</td><td>0.14347</td><td>1.96811</td><td>1.90364</td><td>23.1649</td><td>1.05017</td><td>0.0</td><td>2.64335</td><td>-99.9</td><td>-99.9</td><td>2.04381</td><td>0.0739317</td><td>False</td><td>23.2029</td><td>0.0650854</td><td>1.94249</td><td>0.0306378</td><td>False</td><td>23.3179</td><td>0.0366665</td><td>2.26631</td><td>0.0719984</td><td>False</td><td>23.2375</td><td>0.0688742</td><td>1.98902</td><td>0.0482635</td><td>False</td><td>23.3353</td><td>0.0547346</td><td>0.404277</td><td>0.0150435</td><td>False</td><td>25.1263</td><td>0.0775679</td><td>0.384309</td><td>0.014542</td><td>False</td><td>25.1605</td><td>0.065355</td><td>0.778394</td><td>0.0256213</td><td>False</td><td>24.3475</td><td>0.060474</td><td>1.45211</td><td>0.0315381</td><td>False</td><td>23.7139</td><td>0.0288451</td><td>1.08403</td><td>0.0257427</td><td>False</td><td>23.9889</td><td>0.0363779</td><td>1.63712</td><td>0.0582722</td><td>False</td><td>23.5291</td><td>0.114418</td><td>1.57717</td><td>0.0261664</td><td>False</td><td>23.5627</td><td>0.0290153</td><td>0.64186</td><td>0.0540081</td><td>False</td><td>24.773</td><td>0.160236</td><td>0.490998</td><td>0.0451495</td><td>False</td><td>24.834</td><td>0.116389</td><td>1.12658</td><td>0.0424622</td><td>False</td><td>23.9599</td><td>0.0467139</td><td>1.527</td><td>0.0374706</td><td>False</td><td>23.6507</td><td>0.045955</td><td>1.67355</td><td>0.0652741</td><td>False</td><td>23.4963</td><td>0.0497841</td><td>1.67417</td><td>0.0607096</td><td>False</td><td>23.4902</td><td>0.054028</td><td>0.391525</td><td>0.0270107</td><td>False</td><td>25.0294</td><td>0.0939552</td><td>0.585491</td><td>0.0313824</td><td>False</td><td>24.7579</td><td>0.0879611</td><td>0.541452</td><td>0.0396596</td><td>False</td><td>24.6849</td><td>0.0964643</td><td>0.813578</td><td>0.0344571</td><td>False</td><td>24.2949</td><td>0.0717611</td><td>1.39495</td><td>0.0348956</td><td>False</td><td>23.7647</td><td>0.0400811</td><td>1.32727</td><td>0.0436846</td><td>False</td><td>23.8452</td><td>0.0658402</td><td>1.15771</td><td>0.0807275</td><td>False</td><td>23.9025</td><td>0.0721305</td><td>1.47951</td><td>0.0402263</td><td>False</td><td>23.6437</td><td>0.0588368</td><td>1.80202</td><td>0.215694</td><td>False</td><td>23.391</td><td>0.204402</td><td>1.13585</td><td>0.212301</td><td>False</td><td>23.7564</td><td>0.284205</td><td>1.88244</td><td>0.09158</td><td>False</td><td>23.3739</td><td>0.0890294</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>2</td><td>HELP_J095924.46+014139.48</td><td>COSMOS2015_J095924.46+014139.48</td><td>149.851906099</td><td>1.69429940445</td><td>1</td><td>26.4433</td><td>0.547223</td><td>0.0946016</td><td>0.112406</td><td>26.1387</td><td>0.170894</td><td>0.129051</td><td>0.056776</td><td>25.0491</td><td>0.14967</td><td>0.348797</td><td>0.116807</td><td>26.0576</td><td>0.252653</td><td>0.132282</td><td>0.0843315</td><td>27.7565</td><td>0.377045</td><td>0.0288395</td><td>0.0230412</td><td>28.0716</td><td>0.312143</td><td>0.0217318</td><td>0.00967352</td><td>27.7684</td><td>0.412269</td><td>0.0288008</td><td>0.0185579</td><td>26.579</td><td>0.216342</td><td>0.0854997</td><td>0.0220311</td><td>27.2886</td><td>0.248571</td><td>0.0441918</td><td>0.0143302</td><td>26.6694</td><td>0.504826</td><td>0.0772318</td><td>0.136244</td><td>26.428</td><td>0.186738</td><td>0.0979523</td><td>0.034412</td><td>28.2365</td><td>1.55288</td><td>0.0195606</td><td>0.0449566</td><td>27.5289</td><td>0.787699</td><td>0.0358935</td><td>0.0390877</td><td>28.6923</td><td>2.4467</td><td>0.0121825</td><td>0.0385424</td><td>27.9731</td><td>1.13684</td><td>0.025343</td><td>0.0503131</td><td>26.6643</td><td>0.596786</td><td>0.0781697</td><td>0.064933</td><td>26.6167</td><td>0.516767</td><td>0.0822427</td><td>0.0699911</td><td>27.0981</td><td>0.389654</td><td>0.0525299</td><td>0.0318281</td><td>nan</td><td>nan</td><td>-0.0183527</td><td>0.0343821</td><td>26.747</td><td>0.371978</td><td>0.0735989</td><td>0.0404189</td><td>nan</td><td>nan</td><td>-0.0131054</td><td>0.0435932</td><td>26.2069</td><td>0.211558</td><td>0.119707</td><td>0.0400729</td><td>26.0839</td><td>0.234347</td><td>0.134096</td><td>0.0655246</td><td>27.3206</td><td>1.44922</td><td>0.042715</td><td>0.0711375</td><td>26.1689</td><td>0.22767</td><td>0.12262</td><td>0.0658082</td><td>25.4886</td><td>0.661482</td><td>0.228065</td><td>0.296093</td><td>25.6732</td><td>0.774547</td><td>0.18423</td><td>0.29354</td><td>26.1473</td><td>0.516664</td><td>0.128159</td><td>0.131855</td><td>-99.9</td><td>-99.9</td><td>-99.9</td><td>-99.9</td><td>-99.9</td><td>-99.9</td><td>-99.9</td><td>-99.9</td><td>-99.9</td><td>-99.9</td><td>-99.9</td><td>-99.9</td><td>-99.9</td><td>-99.9</td><td>-99.9</td><td>-99.9</td><td>0.0960904</td><td>0.0484306</td><td>False</td><td>26.4603</td><td>1.29008</td><td>0.12721</td><td>0.0200227</td><td>False</td><td>26.1231</td><td>0.47767</td><td>0.347024</td><td>0.0478377</td><td>False</td><td>25.0436</td><td>0.363597</td><td>0.137076</td><td>0.0318978</td><td>False</td><td>26.0962</td><td>0.692171</td><td>0.0286682</td><td>0.00995563</td><td>False</td><td>27.75</td><td>0.867444</td><td>0.0214467</td><td>0.0061658</td><td>False</td><td>28.0573</td><td>0.483296</td><td>0.0283556</td><td>0.010767</td><td>False</td><td>27.7515</td><td>0.699598</td><td>0.0848007</td><td>0.0168973</td><td>False</td><td>26.5701</td><td>0.279767</td><td>0.0441123</td><td>0.0100992</td><td>False</td><td>27.2866</td><td>0.352075</td><td>0.0780261</td><td>0.0362792</td><td>False</td><td>26.6805</td><td>1.91534</td><td>0.0974541</td><td>0.0167613</td><td>False</td><td>26.4225</td><td>0.381434</td><td>0.0184247</td><td>0.026352</td><td>False</td><td>28.1715</td><td>2.49537</td><td>0.0353541</td><td>0.0256493</td><td>False</td><td>27.5125</td><td>1.18236</td><td>0.0121082</td><td>0.0272857</td><td>False</td><td>28.6857</td><td>3.435</td><td>0.0234833</td><td>0.0245886</td><td>False</td><td>27.8904</td><td>2.1555</td><td>0.0783934</td><td>0.0430897</td><td>False</td><td>26.6674</td><td>0.901885</td><td>0.0819068</td><td>0.0389844</td><td>False</td><td>26.6123</td><td>0.923995</td><td>0.0525726</td><td>0.0188675</td><td>False</td><td>27.099</td><td>0.657852</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>-2.03403</td><td>0.072644</td><td>0.0248882</td><td>False</td><td>26.7328</td><td>0.596262</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>-3.61154</td><td>0.119465</td><td>0.023278</td><td>False</td><td>26.2047</td><td>0.363459</td><td>0.133795</td><td>0.0288785</td><td>False</td><td>26.0815</td><td>0.530534</td><td>0.0428311</td><td>0.0571702</td><td>False</td><td>27.3235</td><td>1.80818</td><td>0.12372</td><td>0.0259431</td><td>False</td><td>26.1786</td><td>0.582697</td><td>0.231505</td><td>0.141044</td><td>False</td><td>25.5049</td><td>1.40959</td><td>0.195308</td><td>0.139329</td><td>False</td><td>25.7366</td><td>1.72994</td><td>0.126206</td><td>0.060057</td><td>False</td><td>26.1306</td><td>1.11705</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>3</td><td>HELP_J095924.99+014143.24</td><td>COSMOS2015_J095924.99+014143.24</td><td>149.854118108</td><td>1.69534384639</td><td>1</td><td>23.9361</td><td>0.0734139</td><td>0.854776</td><td>0.114546</td><td>24.1814</td><td>0.0379962</td><td>0.71864</td><td>0.0578136</td><td>23.7528</td><td>0.0597389</td><td>1.01142</td><td>0.116305</td><td>24.1817</td><td>0.0593372</td><td>0.704064</td><td>0.0841206</td><td>25.3255</td><td>0.0538542</td><td>0.241895</td><td>0.0233028</td><td>25.4992</td><td>0.0557864</td><td>0.201683</td><td>0.0160136</td><td>25.1042</td><td>0.0623025</td><td>0.290575</td><td>0.0277179</td><td>25.0319</td><td>0.0795052</td><td>0.300284</td><td>0.0262932</td><td>25.1113</td><td>0.0642767</td><td>0.291515</td><td>0.0229</td><td>24.294</td><td>0.0818798</td><td>0.607457</td><td>0.1495</td><td>24.3655</td><td>0.0388357</td><td>0.583231</td><td>0.0361455</td><td>25.3313</td><td>0.12528</td><td>0.250523</td><td>0.040046</td><td>25.0319</td><td>0.0907452</td><td>0.302018</td><td>0.0341716</td><td>25.484</td><td>0.167403</td><td>0.1924</td><td>0.0387993</td><td>24.8825</td><td>0.0919314</td><td>0.359241</td><td>0.0534606</td><td>24.9718</td><td>0.140856</td><td>0.328518</td><td>0.0565861</td><td>25.0122</td><td>0.160583</td><td>0.361833</td><td>0.0722201</td><td>25.2749</td><td>0.102063</td><td>0.244629</td><td>0.0339988</td><td>25.6892</td><td>0.164624</td><td>0.232002</td><td>0.0390266</td><td>25.5884</td><td>0.192847</td><td>0.198819</td><td>0.0461533</td><td>25.264</td><td>0.123153</td><td>0.250775</td><td>0.0480429</td><td>25.5715</td><td>0.157919</td><td>0.222976</td><td>0.0409948</td><td>25.1808</td><td>0.134679</td><td>0.286841</td><td>0.0652936</td><td>25.0815</td><td>0.256696</td><td>0.353803</td><td>0.074879</td><td>25.1448</td><td>0.122589</td><td>0.288257</td><td>0.0683266</td><td>25.9968</td><td>1.51773</td><td>0.251517</td><td>0.321866</td><td>23.8885</td><td>0.194034</td><td>0.848783</td><td>0.2871</td><td>24.4043</td><td>0.142457</td><td>0.569776</td><td>0.136861</td><td>0.968225</td><td>0.0485496</td><td>23.9351</td><td>0.0544419</td><td>0.736498</td><td>0.0844523</td><td>24.2321</td><td>0.124498</td><td>0.0</td><td>2.06222</td><td>-99.9</td><td>-99.9</td><td>0.0</td><td>2.28513</td><td>-99.9</td><td>-99.9</td><td>0.967297</td><td>0.0654054</td><td>False</td><td>24.0704</td><td>0.145496</td><td>0.771684</td><td>0.0270057</td><td>False</td><td>24.2587</td><td>0.087346</td><td>1.1452</td><td>0.0630105</td><td>False</td><td>23.8877</td><td>0.124851</td><td>0.771472</td><td>0.0421622</td><td>False</td><td>24.281</td><td>0.129722</td><td>0.269029</td><td>0.0133443</td><td>False</td><td>25.4409</td><td>0.104594</td><td>0.229255</td><td>0.0117794</td><td>False</td><td>25.6383</td><td>0.0862073</td><td>0.329852</td><td>0.0189278</td><td>False</td><td>25.2419</td><td>0.103568</td><td>0.352565</td><td>0.0258173</td><td>False</td><td>25.2062</td><td>0.0950683</td><td>0.327703</td><td>0.0194003</td><td>False</td><td>25.2383</td><td>0.0852901</td><td>0.695664</td><td>0.0524629</td><td>False</td><td>24.4412</td><td>0.267208</td><td>0.651328</td><td>0.0232974</td><td>False</td><td>24.4854</td><td>0.067288</td><td>0.267596</td><td>0.0308771</td><td>False</td><td>25.4029</td><td>0.173554</td><td>0.352565</td><td>0.0294672</td><td>False</td><td>25.1999</td><td>0.122845</td><td>0.232488</td><td>0.0358459</td><td>False</td><td>25.6895</td><td>0.218949</td><td>0.404576</td><td>0.0342562</td><td>False</td><td>25.0115</td><td>0.161574</td><td>0.372632</td><td>0.0483427</td><td>False</td><td>25.1086</td><td>0.187014</td><td>0.359021</td><td>0.0531001</td><td>False</td><td>25.0037</td><td>0.216708</td><td>0.281864</td><td>0.0264962</td><td>False</td><td>25.4287</td><td>0.150897</td><td>0.192451</td><td>0.0291802</td><td>False</td><td>25.4863</td><td>0.182639</td><td>0.211174</td><td>0.0375084</td><td>False</td><td>25.6539</td><td>0.25204</td><td>0.284708</td><td>0.0322939</td><td>False</td><td>25.4018</td><td>0.208003</td><td>0.214486</td><td>0.0311968</td><td>False</td><td>25.5294</td><td>0.199616</td><td>0.307383</td><td>0.038129</td><td>False</td><td>25.2559</td><td>0.247146</td><td>0.336822</td><td>0.0796333</td><td>False</td><td>25.0281</td><td>0.229786</td><td>0.317746</td><td>0.0358763</td><td>False</td><td>25.2505</td><td>0.257356</td><td>0.144971</td><td>0.202652</td><td>False</td><td>25.3986</td><td>1.38942</td><td>1.01065</td><td>0.180615</td><td>False</td><td>24.078</td><td>0.367249</td><td>0.628463</td><td>0.0824592</td><td>False</td><td>24.5107</td><td>0.260795</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>4</td><td>HELP_J095925.00+014135.14</td><td>COSMOS2015_J095925.00+014135.14</td><td>149.854150323</td><td>1.69309467727</td><td>1</td><td>25.3676</td><td>0.213847</td><td>0.272379</td><td>0.117478</td><td>25.6652</td><td>0.115964</td><td>0.194633</td><td>0.0591703</td><td>24.4289</td><td>0.0861771</td><td>0.607058</td><td>0.118308</td><td>26.5433</td><td>0.40808</td><td>0.0755871</td><td>0.0864762</td><td>27.1784</td><td>0.226412</td><td>0.0468897</td><td>0.0234154</td><td>26.2928</td><td>0.0837393</td><td>0.111236</td><td>0.0132804</td><td>25.5454</td><td>0.0738879</td><td>0.220249</td><td>0.0255918</td><td>25.6474</td><td>0.0979502</td><td>0.202525</td><td>0.023386</td><td>25.5522</td><td>0.0693468</td><td>0.21714</td><td>0.0196349</td><td>25.4362</td><td>0.178565</td><td>0.257089</td><td>0.148988</td><td>25.5523</td><td>0.0875875</td><td>0.220833</td><td>0.0359028</td><td>25.875</td><td>0.187503</td><td>0.168151</td><td>0.0473473</td><td>26.21</td><td>0.243909</td><td>0.11231</td><td>0.0405025</td><td>25.9783</td><td>0.181477</td><td>0.15004</td><td>0.034586</td><td>25.7203</td><td>0.150841</td><td>0.182223</td><td>0.0528101</td><td>25.722</td><td>0.200728</td><td>0.183293</td><td>0.0516468</td><td>25.7114</td><td>0.232589</td><td>0.187657</td><td>0.0720239</td><td>26.1339</td><td>0.171632</td><td>0.126919</td><td>0.0338537</td><td>26.1978</td><td>0.200556</td><td>0.134165</td><td>0.0388924</td><td>25.5724</td><td>0.145231</td><td>0.214516</td><td>0.0462409</td><td>25.585</td><td>0.126509</td><td>0.205748</td><td>0.0479659</td><td>25.7309</td><td>0.140081</td><td>0.183991</td><td>0.0408751</td><td>25.7521</td><td>0.174818</td><td>0.172288</td><td>0.0657946</td><td>25.5314</td><td>0.29588</td><td>0.221002</td><td>0.0749663</td><td>25.891</td><td>0.206029</td><td>0.159178</td><td>0.0762384</td><td>nan</td><td>nan</td><td>-0.0932511</td><td>0.296191</td><td>25.0676</td><td>0.454313</td><td>0.330063</td><td>0.298501</td><td>25.3733</td><td>0.26417</td><td>0.287232</td><td>0.136595</td><td>0.227293</td><td>0.0293129</td><td>25.5085</td><td>0.140022</td><td>0.270442</td><td>0.051454</td><td>25.3198</td><td>0.206571</td><td>0.0</td><td>2.59203</td><td>-99.9</td><td>-99.9</td><td>0.0</td><td>2.8823</td><td>-99.9</td><td>-99.9</td><td>0.258797</td><td>0.0509728</td><td>False</td><td>25.3121</td><td>0.468282</td><td>0.196752</td><td>0.0210145</td><td>False</td><td>25.677</td><td>0.330074</td><td>0.614384</td><td>0.0487649</td><td>False</td><td>24.4419</td><td>0.211596</td><td>0.0876354</td><td>0.0329382</td><td>False</td><td>26.7039</td><td>1.24215</td><td>0.0488247</td><td>0.0101816</td><td>False</td><td>27.2223</td><td>0.542186</td><td>0.110377</td><td>0.00851304</td><td>False</td><td>26.2844</td><td>0.129625</td><td>0.219705</td><td>0.0149516</td><td>False</td><td>25.5427</td><td>0.126157</td><td>0.200004</td><td>0.0180435</td><td>False</td><td>25.6338</td><td>0.125372</td><td>0.218333</td><td>0.0139451</td><td>False</td><td>25.5582</td><td>0.0981778</td><td>0.242952</td><td>0.0399569</td><td>False</td><td>25.3748</td><td>0.629205</td><td>0.218313</td><td>0.0176116</td><td>False</td><td>25.5398</td><td>0.176518</td><td>0.162181</td><td>0.0280081</td><td>False</td><td>25.8357</td><td>0.305717</td><td>0.119124</td><td>0.0267611</td><td>False</td><td>26.274</td><td>0.39155</td><td>0.147462</td><td>0.0246477</td><td>False</td><td>25.9595</td><td>0.250275</td><td>0.187016</td><td>0.0259821</td><td>False</td><td>25.7485</td><td>0.314657</td><td>0.186724</td><td>0.034521</td><td>False</td><td>25.7421</td><td>0.30593</td><td>0.188556</td><td>0.0403929</td><td>False</td><td>25.7166</td><td>0.416712</td><td>0.127773</td><td>0.0201983</td><td>False</td><td>26.1412</td><td>0.289603</td><td>0.12047</td><td>0.0222531</td><td>False</td><td>26.0809</td><td>0.314738</td><td>0.214309</td><td>0.0286665</td><td>False</td><td>25.5714</td><td>0.23404</td><td>0.211836</td><td>0.024683</td><td>False</td><td>25.6167</td><td>0.253117</td><td>0.1852</td><td>0.0238943</td><td>False</td><td>25.738</td><td>0.241205</td><td>0.181618</td><td>0.029243</td><td>False</td><td>25.8094</td><td>0.414629</td><td>0.222556</td><td>0.06065</td><td>False</td><td>25.539</td><td>0.368294</td><td>0.159808</td><td>0.0303252</td><td>False</td><td>25.8953</td><td>0.520014</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>-3.4486</td><td>0.341161</td><td>0.142755</td><td>False</td><td>25.1035</td><td>0.981914</td><td>0.257442</td><td>0.0626382</td><td>False</td><td>25.2544</td><td>0.516329</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>5</td><td>HELP_J095925.44+014136.28</td><td>COSMOS2015_J095925.44+014136.28</td><td>149.855998067</td><td>1.69341248405</td><td>1</td><td>24.3931</td><td>0.129196</td><td>0.604958</td><td>0.120566</td><td>24.4172</td><td>0.054446</td><td>0.501809</td><td>0.0608801</td><td>24.6174</td><td>0.149997</td><td>0.666347</td><td>0.119705</td><td>24.3291</td><td>0.0788542</td><td>0.628351</td><td>0.0890147</td><td>25.5975</td><td>0.0750623</td><td>0.177721</td><td>0.0230861</td><td>25.5722</td><td>0.0610777</td><td>0.169259</td><td>0.0151153</td><td>25.4334</td><td>0.083117</td><td>0.214763</td><td>0.0254205</td><td>25.0922</td><td>0.0877611</td><td>0.254329</td><td>0.0250486</td><td>25.4204</td><td>0.0786308</td><td>0.217864</td><td>0.0196412</td><td>24.3757</td><td>0.0968975</td><td>0.518992</td><td>0.149192</td><td>24.6619</td><td>0.0563941</td><td>0.429054</td><td>0.0363911</td><td>25.6777</td><td>0.215894</td><td>0.184801</td><td>0.0454176</td><td>25.879</td><td>0.261147</td><td>0.161014</td><td>0.0408538</td><td>25.2939</td><td>0.139518</td><td>0.264569</td><td>0.0348985</td><td>24.7846</td><td>0.0922285</td><td>0.290736</td><td>0.0532299</td><td>25.9008</td><td>0.346156</td><td>0.204408</td><td>0.0525719</td><td>24.9392</td><td>0.170242</td><td>0.313302</td><td>0.0746054</td><td>25.1029</td><td>0.10046</td><td>0.281864</td><td>0.0356837</td><td>25.591</td><td>0.165944</td><td>0.144952</td><td>0.0389488</td><td>25.2204</td><td>0.151182</td><td>0.208259</td><td>0.0462155</td><td>25.1145</td><td>0.118937</td><td>0.213448</td><td>0.0483226</td><td>25.4912</td><td>0.16095</td><td>0.221815</td><td>0.0409787</td><td>25.1893</td><td>0.162609</td><td>0.263499</td><td>0.070892</td><td>26.3321</td><td>0.891581</td><td>0.106044</td><td>0.0747806</td><td>25.0857</td><td>0.137688</td><td>0.278109</td><td>0.0743232</td><td>24.115</td><td>0.272334</td><td>0.480156</td><td>0.297982</td><td>26.8328</td><td>3.29917</td><td>0.338447</td><td>0.294862</td><td>24.5311</td><td>0.174763</td><td>0.434271</td><td>0.136459</td><td>0.669155</td><td>0.0430846</td><td>24.3362</td><td>0.0699067</td><td>0.841139</td><td>0.0758083</td><td>24.0878</td><td>0.0978527</td><td>3.03424</td><td>1.75406</td><td>22.6949</td><td>0.62765</td><td>0.0</td><td>2.26638</td><td>-99.9</td><td>-99.9</td><td>0.634979</td><td>0.0755587</td><td>False</td><td>24.4457</td><td>0.216383</td><td>0.621041</td><td>0.0311431</td><td>False</td><td>24.6487</td><td>0.131723</td><td>0.516464</td><td>0.0713508</td><td>False</td><td>24.3408</td><td>0.195046</td><td>0.673535</td><td>0.0489171</td><td>False</td><td>24.4045</td><td>0.15381</td><td>0.209411</td><td>0.0144776</td><td>False</td><td>25.7757</td><td>0.141038</td><td>0.214348</td><td>0.0120581</td><td>False</td><td>25.8286</td><td>0.0969593</td><td>0.243579</td><td>0.0186469</td><td>False</td><td>25.5701</td><td>0.128514</td><td>0.333519</td><td>0.0269586</td><td>False</td><td>25.3865</td><td>0.106933</td><td>0.246513</td><td>0.0178529</td><td>False</td><td>25.5545</td><td>0.0978829</td><td>0.645238</td><td>0.0575849</td><td>False</td><td>24.6121</td><td>0.312111</td><td>0.495724</td><td>0.0257483</td><td>False</td><td>24.8187</td><td>0.092089</td><td>0.1945</td><td>0.0386755</td><td>False</td><td>25.7332</td><td>0.266836</td><td>0.161585</td><td>0.0388652</td><td>False</td><td>25.8828</td><td>0.275482</td><td>0.276975</td><td>0.0355915</td><td>False</td><td>25.3437</td><td>0.143216</td><td>0.442752</td><td>0.0376098</td><td>False</td><td>25.2413</td><td>0.198784</td><td>0.158372</td><td>0.0504925</td><td>False</td><td>25.6238</td><td>0.279242</td><td>0.38399</td><td>0.0602091</td><td>False</td><td>25.1601</td><td>0.258542</td><td>0.330248</td><td>0.0305569</td><td>False</td><td>25.2749</td><td>0.137453</td><td>0.210669</td><td>0.0321986</td><td>False</td><td>25.9969</td><td>0.291739</td><td>0.296374</td><td>0.0412682</td><td>False</td><td>25.6035</td><td>0.24094</td><td>0.326738</td><td>0.0357925</td><td>False</td><td>25.5768</td><td>0.2458</td><td>0.230951</td><td>0.0342363</td><td>False</td><td>25.535</td><td>0.200582</td><td>0.304986</td><td>0.0456772</td><td>False</td><td>25.3481</td><td>0.292107</td><td>0.106453</td><td>0.0874171</td><td>False</td><td>26.3363</td><td>0.765644</td><td>0.335521</td><td>0.0425492</td><td>False</td><td>25.2895</td><td>0.290157</td><td>0.820352</td><td>0.205768</td><td>False</td><td>24.6965</td><td>0.673801</td><td>0.0671243</td><td>0.203967</td><td>False</td><td>25.0763</td><td>0.945916</td><td>0.559191</td><td>0.0900088</td><td>False</td><td>24.8056</td><td>0.341166</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>6</td><td>HELP_J095925.60+014136.71</td><td>COSMOS2015_J095925.60+014136.71</td><td>149.856648189</td><td>1.69352983453</td><td>1</td><td>23.316</td><td>0.0501739</td><td>1.49121</td><td>0.121782</td><td>23.133</td><td>0.0172981</td><td>1.70964</td><td>0.0607362</td><td>23.4454</td><td>0.0530469</td><td>1.21819</td><td>0.1201</td><td>23.5124</td><td>0.0384542</td><td>1.12173</td><td>0.0883637</td><td>24.316</td><td>0.0239723</td><td>0.554466</td><td>0.0231871</td><td>24.5005</td><td>0.0318176</td><td>0.465478</td><td>0.0222279</td><td>24.2303</td><td>0.0371694</td><td>0.617801</td><td>0.036059</td><td>23.8475</td><td>0.0322763</td><td>0.844781</td><td>0.0300205</td><td>24.1608</td><td>0.0326789</td><td>0.645485</td><td>0.0271939</td><td>23.5194</td><td>0.0471114</td><td>1.11982</td><td>0.155124</td><td>23.6113</td><td>0.0220605</td><td>1.10663</td><td>0.036703</td><td>24.3475</td><td>0.0664961</td><td>0.562989</td><td>0.0463576</td><td>24.3093</td><td>0.0647441</td><td>0.54665</td><td>0.0416936</td><td>24.1225</td><td>0.050078</td><td>0.681545</td><td>0.0359962</td><td>23.8424</td><td>0.0409828</td><td>0.829993</td><td>0.0553585</td><td>24.0377</td><td>0.0654628</td><td>0.762527</td><td>0.0537927</td><td>23.9095</td><td>0.0689753</td><td>0.858754</td><td>0.0753408</td><td>24.3464</td><td>0.05593</td><td>0.538219</td><td>0.038768</td><td>24.2182</td><td>0.0506073</td><td>0.584195</td><td>0.0407331</td><td>24.3881</td><td>0.0740527</td><td>0.578876</td><td>0.0472661</td><td>24.3349</td><td>0.0602277</td><td>0.553659</td><td>0.0490927</td><td>24.1568</td><td>0.0499886</td><td>0.633774</td><td>0.0426089</td><td>23.7607</td><td>0.0450031</td><td>0.885997</td><td>0.071302</td><td>24.4248</td><td>0.160278</td><td>0.548434</td><td>0.0748631</td><td>23.5454</td><td>0.0348532</td><td>1.13321</td><td>0.0755508</td><td>25.056</td><td>0.672938</td><td>0.459821</td><td>0.298798</td><td>23.655</td><td>0.186791</td><td>1.20813</td><td>0.302324</td><td>23.612</td><td>0.0756954</td><td>1.15526</td><td>0.132647</td><td>1.78066</td><td>0.0444199</td><td>23.2735</td><td>0.0270845</td><td>1.2494</td><td>0.0817168</td><td>23.6583</td><td>0.0710127</td><td>0.467913</td><td>1.24774</td><td>24.7246</td><td>2.89524</td><td>0.0</td><td>3.08645</td><td>-99.9</td><td>-99.9</td><td>1.71238</td><td>0.0791322</td><td>False</td><td>23.4662</td><td>0.0886683</td><td>2.02675</td><td>0.0322904</td><td>False</td><td>23.3177</td><td>0.0385716</td><td>1.51999</td><td>0.0742635</td><td>False</td><td>23.6857</td><td>0.107042</td><td>1.42902</td><td>0.0506127</td><td>False</td><td>23.7753</td><td>0.0855283</td><td>0.681711</td><td>0.0150517</td><td>False</td><td>24.5403</td><td>0.0454042</td><td>0.575175</td><td>0.0168556</td><td>False</td><td>24.7302</td><td>0.051847</td><td>0.737699</td><td>0.0252546</td><td>False</td><td>24.4229</td><td>0.0633708</td><td>1.04954</td><td>0.0312003</td><td>False</td><td>24.0831</td><td>0.0385832</td><td>0.786465</td><td>0.0236713</td><td>False</td><td>24.3753</td><td>0.0457414</td><td>1.41984</td><td>0.0616086</td><td>False</td><td>23.7771</td><td>0.150403</td><td>1.30461</td><td>0.0265076</td><td>False</td><td>23.79</td><td>0.03601</td><td>0.662217</td><td>0.0405576</td><td>False</td><td>24.5238</td><td>0.0894016</td><td>0.68593</td><td>0.0409031</td><td>False</td><td>24.5557</td><td>0.0828103</td><td>0.814705</td><td>0.0375771</td><td>False</td><td>24.3163</td><td>0.0573438</td><td>1.05448</td><td>0.0398031</td><td>False</td><td>24.1023</td><td>0.0724159</td><td>0.880886</td><td>0.0531117</td><td>False</td><td>24.1944</td><td>0.0765936</td><td>0.991287</td><td>0.0629751</td><td>False</td><td>24.0653</td><td>0.0952546</td><td>0.662888</td><td>0.0341476</td><td>False</td><td>24.5726</td><td>0.0782058</td><td>0.745967</td><td>0.0347703</td><td>False</td><td>24.4836</td><td>0.0757031</td><td>0.637911</td><td>0.0435087</td><td>False</td><td>24.4935</td><td>0.088652</td><td>0.669946</td><td>0.0371631</td><td>False</td><td>24.5419</td><td>0.0962717</td><td>0.789369</td><td>0.0363435</td><td>False</td><td>24.3952</td><td>0.0729945</td><td>1.13689</td><td>0.0471236</td><td>False</td><td>24.0314</td><td>0.0873763</td><td>0.616708</td><td>0.0910394</td><td>False</td><td>24.5522</td><td>0.148207</td><td>1.38624</td><td>0.0444998</td><td>False</td><td>23.7642</td><td>0.0723857</td><td>0.344826</td><td>0.213723</td><td>False</td><td>24.7435</td><td>0.705526</td><td>1.25314</td><td>0.215591</td><td>False</td><td>23.6947</td><td>0.271696</td><td>1.30377</td><td>0.0908961</td><td>False</td><td>23.7433</td><td>0.124664</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>7</td><td>HELP_J095924.66+014147.70</td><td>COSMOS2015_J095924.66+014147.70</td><td>149.852768439</td><td>1.69658339301</td><td>1</td><td>22.4814</td><td>0.0289257</td><td>2.71283</td><td>0.111243</td><td>22.7661</td><td>0.0155976</td><td>1.85218</td><td>0.0565284</td><td>22.6869</td><td>0.0340907</td><td>2.03422</td><td>0.114379</td><td>22.5713</td><td>0.0204833</td><td>2.18254</td><td>0.0827307</td><td>24.7711</td><td>0.0499831</td><td>0.268749</td><td>0.0231832</td><td>24.7896</td><td>0.0422258</td><td>0.2578</td><td>0.0175354</td><td>24.0174</td><td>0.0363273</td><td>0.532719</td><td>0.033869</td><td>23.1381</td><td>0.0224492</td><td>1.25046</td><td>0.0324307</td><td>23.5382</td><td>0.0268725</td><td>0.881147</td><td>0.0321796</td><td>23.003</td><td>0.0392838</td><td>1.55278</td><td>0.155275</td><td>22.879</td><td>0.0155452</td><td>1.59255</td><td>0.0372107</td><td>24.5048</td><td>0.0774529</td><td>0.314277</td><td>0.0343543</td><td>24.2545</td><td>0.0612677</td><td>0.406712</td><td>0.0305838</td><td>23.5569</td><td>0.0504137</td><td>0.815105</td><td>0.045273</td><td>23.0576</td><td>0.0255762</td><td>1.27397</td><td>0.0532908</td><td>23.0586</td><td>0.040271</td><td>1.33382</td><td>0.0599649</td><td>23.1049</td><td>0.0424578</td><td>1.39779</td><td>0.0719405</td><td>24.7792</td><td>0.0906613</td><td>0.315297</td><td>0.0305429</td><td>24.5576</td><td>0.0890764</td><td>0.372936</td><td>0.0394978</td><td>24.6955</td><td>0.129655</td><td>0.365393</td><td>0.0464904</td><td>24.1922</td><td>0.0676842</td><td>0.532877</td><td>0.0459367</td><td>23.2325</td><td>0.0281417</td><td>1.15812</td><td>0.0430216</td><td>23.1493</td><td>0.0339402</td><td>1.06837</td><td>0.0765357</td><td>23.2436</td><td>0.0658944</td><td>1.11997</td><td>0.0662688</td><td>23.1072</td><td>0.0279989</td><td>1.34643</td><td>0.0664321</td><td>23.2574</td><td>0.181557</td><td>1.9</td><td>0.308484</td><td>22.6562</td><td>0.0971454</td><td>2.70544</td><td>0.289922</td><td>22.8505</td><td>0.0517346</td><td>1.85766</td><td>0.133035</td><td>3.05584</td><td>0.0917879</td><td>22.6872</td><td>0.0326122</td><td>1.91272</td><td>0.100695</td><td>23.1959</td><td>0.0571585</td><td>2.65264</td><td>2.01399</td><td>22.8408</td><td>0.824337</td><td>0.0</td><td>3.09444</td><td>-99.9</td><td>-99.9</td><td>3.69352</td><td>0.098401</td><td>False</td><td>22.8164</td><td>0.044522</td><td>2.84158</td><td>0.0408219</td><td>False</td><td>23.2308</td><td>0.0331366</td><td>3.05661</td><td>0.0959736</td><td>False</td><td>23.129</td><td>0.0610482</td><td>3.40001</td><td>0.0641439</td><td>False</td><td>23.0526</td><td>0.0411556</td><td>0.448291</td><td>0.0206376</td><td>False</td><td>25.3266</td><td>0.0936593</td><td>0.440717</td><td>0.0171401</td><td>False</td><td>25.3718</td><td>0.0738511</td><td>0.897511</td><td>0.0300295</td><td>False</td><td>24.5838</td><td>0.0690285</td><td>2.01725</td><td>0.0417096</td><td>False</td><td>23.6573</td><td>0.0281586</td><td>1.39547</td><td>0.0345385</td><td>False</td><td>24.0374</td><td>0.0396512</td><td>2.28455</td><td>0.0826588</td><td>False</td><td>23.4222</td><td>0.108572</td><td>2.56094</td><td>0.0366667</td><td>False</td><td>23.3948</td><td>0.0253688</td><td>0.572901</td><td>0.0408689</td><td>False</td><td>25.1567</td><td>0.118684</td><td>0.72144</td><td>0.0407106</td><td>False</td><td>24.8768</td><td>0.0816448</td><td>1.37164</td><td>0.063689</td><td>False</td><td>24.122</td><td>0.0603045</td><td>2.1725</td><td>0.0511766</td><td>False</td><td>23.6371</td><td>0.0454169</td><td>2.1705</td><td>0.080506</td><td>False</td><td>23.5873</td><td>0.0488117</td><td>2.07989</td><td>0.0813342</td><td>False</td><td>23.5364</td><td>0.0558799</td><td>0.444959</td><td>0.037155</td><td>False</td><td>25.1532</td><td>0.105176</td><td>0.545708</td><td>0.0447712</td><td>False</td><td>24.9709</td><td>0.114991</td><td>0.480618</td><td>0.0573938</td><td>False</td><td>24.9931</td><td>0.138143</td><td>0.764047</td><td>0.0476303</td><td>False</td><td>24.5834</td><td>0.093596</td><td>1.84927</td><td>0.047932</td><td>False</td><td>23.7406</td><td>0.0403327</td><td>1.99655</td><td>0.0624123</td><td>False</td><td>23.8282</td><td>0.0777798</td><td>1.83046</td><td>0.111092</td><td>False</td><td>23.777</td><td>0.0642432</td><td>2.07548</td><td>0.0535225</td><td>False</td><td>23.577</td><td>0.0535696</td><td>1.80734</td><td>0.302224</td><td>False</td><td>23.2031</td><td>0.17628</td><td>3.14427</td><td>0.281331</td><td>False</td><td>22.8194</td><td>0.11635</td><td>2.62906</td><td>0.125273</td><td>False</td><td>23.2276</td><td>0.0777542</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>8</td><td>HELP_J095924.41+014152.66</td><td>COSMOS2015_J095924.41+014152.66</td><td>149.851723936</td><td>1.6979622203</td><td>1</td><td>25.6664</td><td>0.277833</td><td>0.177544</td><td>0.107957</td><td>27.3476</td><td>0.544387</td><td>0.0582403</td><td>0.0549481</td><td>nan</td><td>nan</td><td>-0.0122913</td><td>0.0463209</td><td>25.4411</td><td>0.148658</td><td>0.238799</td><td>0.080945</td><td>29.2364</td><td>1.59422</td><td>0.00855874</td><td>0.0230477</td><td>27.919</td><td>0.295821</td><td>0.0240012</td><td>0.00987723</td><td>26.5344</td><td>0.159851</td><td>0.0851433</td><td>0.0210617</td><td>26.2927</td><td>0.183025</td><td>0.10685</td><td>0.0225433</td><td>26.4776</td><td>0.139892</td><td>0.0913461</td><td>0.0160239</td><td>26.6932</td><td>0.610312</td><td>0.0713847</td><td>0.14912</td><td>26.2664</td><td>0.184709</td><td>0.110831</td><td>0.0365238</td><td>28.0586</td><td>1.0611</td><td>0.0183123</td><td>0.0333865</td><td>26.8474</td><td>0.345326</td><td>0.0623983</td><td>0.0297089</td><td>26.791</td><td>0.585616</td><td>0.0689935</td><td>0.049137</td><td>26.0409</td><td>0.217216</td><td>0.131193</td><td>0.0527567</td><td>27.1043</td><td>0.795587</td><td>0.0572643</td><td>0.0533903</td><td>27.5154</td><td>1.0931</td><td>0.0267059</td><td>0.0598284</td><td>28.3967</td><td>1.45642</td><td>0.00899591</td><td>0.0334459</td><td>27.8185</td><td>0.854947</td><td>0.030798</td><td>0.0346976</td><td>27.0864</td><td>0.69832</td><td>0.0398855</td><td>0.0510309</td><td>26.9634</td><td>0.473342</td><td>0.0669805</td><td>0.0468298</td><td>26.136</td><td>0.228357</td><td>0.122933</td><td>0.0428983</td><td>26.5285</td><td>0.382945</td><td>0.0963031</td><td>0.0660738</td><td>28.8476</td><td>6.95437</td><td>0.0166458</td><td>0.0777024</td><td>27.7228</td><td>1.08087</td><td>0.0272943</td><td>0.0690808</td><td>24.9003</td><td>0.416027</td><td>0.37002</td><td>0.296171</td><td>24.2674</td><td>0.231272</td><td>0.640016</td><td>0.296074</td><td>26.9879</td><td>1.20444</td><td>0.0593682</td><td>0.131121</td><td>0.35364</td><td>0.0506554</td><td>25.0286</td><td>0.155521</td><td>0.0</td><td>0.118936</td><td>-99.9</td><td>-99.9</td><td>0.0</td><td>2.09609</td><td>-99.9</td><td>-99.9</td><td>0.0</td><td>3.36619</td><td>-99.9</td><td>-99.9</td><td>0.196535</td><td>0.050292</td><td>False</td><td>25.7767</td><td>0.66019</td><td>0.0417791</td><td>0.020948</td><td>False</td><td>26.9869</td><td>1.02436</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>-4.0917</td><td>0.241858</td><td>0.033115</td><td>False</td><td>25.4549</td><td>0.368029</td><td>0.00733566</td><td>0.0107712</td><td>False</td><td>29.069</td><td>2.92376</td><td>0.0246831</td><td>0.00672519</td><td>False</td><td>27.9494</td><td>0.446814</td><td>0.0883567</td><td>0.0130086</td><td>False</td><td>26.5746</td><td>0.268576</td><td>0.110388</td><td>0.0186083</td><td>False</td><td>26.3281</td><td>0.22907</td><td>0.0931022</td><td>0.0119958</td><td>False</td><td>26.4983</td><td>0.190459</td><td>0.0763343</td><td>0.0429089</td><td>False</td><td>26.766</td><td>2.26806</td><td>0.113094</td><td>0.0192399</td><td>False</td><td>26.2884</td><td>0.357799</td><td>0.021705</td><td>0.0212125</td><td>False</td><td>28.2431</td><td>1.97949</td><td>0.0662277</td><td>0.0210642</td><td>False</td><td>26.9121</td><td>0.516938</td><td>0.0697589</td><td>0.037626</td><td>False</td><td>26.803</td><td>0.773259</td><td>0.1392</td><td>0.0278489</td><td>False</td><td>26.1052</td><td>0.436608</td><td>0.0522733</td><td>0.0383039</td><td>False</td><td>27.0053</td><td>1.01228</td><td>0.0357964</td><td>0.0360392</td><td>False</td><td>27.8335</td><td>2.43234</td><td>0.0158972</td><td>0.0213247</td><td>False</td><td>29.0149</td><td>4.03666</td><td>0.0270769</td><td>0.0213213</td><td>False</td><td>27.6787</td><td>1.22321</td><td>0.0531423</td><td>0.0341799</td><td>False</td><td>27.398</td><td>1.38913</td><td>0.0595169</td><td>0.0259472</td><td>False</td><td>26.8351</td><td>0.759099</td><td>0.127526</td><td>0.0268219</td><td>False</td><td>26.1758</td><td>0.378875</td><td>0.0888382</td><td>0.0313337</td><td>False</td><td>26.4409</td><td>0.744926</td><td>0.0104944</td><td>0.0672191</td><td>False</td><td>28.3467</td><td>5.0682</td><td>0.029572</td><td>0.0294394</td><td>False</td><td>27.8098</td><td>2.74796</td><td>0.397997</td><td>0.152503</td><td>False</td><td>24.9794</td><td>0.869044</td><td>0.712918</td><td>0.151858</td><td>False</td><td>24.3845</td><td>0.502266</td><td>0.0581889</td><td>0.0645507</td><td>False</td><td>26.9661</td><td>2.39796</td><td>False</td><td>False</td><td>False</td><td>False</td></tr>\n",
       "<tr><td>9</td><td>HELP_J095925.00+014155.68</td><td>COSMOS2015_J095925.00+014155.68</td><td>149.854146651</td><td>1.6987987414</td><td>1</td><td>25.386</td><td>0.373899</td><td>0.289128</td><td>0.110523</td><td>26.5849</td><td>0.464154</td><td>0.144241</td><td>0.0556293</td><td>nan</td><td>nan</td><td>-0.0232051</td><td>0.0461171</td><td>29.1213</td><td>7.49064</td><td>0.0745984</td><td>0.0807604</td><td>28.0188</td><td>0.897484</td><td>0.0340609</td><td>0.0234947</td><td>26.954</td><td>0.203553</td><td>0.0471584</td><td>0.0108853</td><td>26.189</td><td>0.179485</td><td>0.111107</td><td>0.0217977</td><td>25.4883</td><td>0.150404</td><td>0.171688</td><td>0.0241258</td><td>26.1478</td><td>0.171432</td><td>0.125451</td><td>0.0176003</td><td>26.7841</td><td>1.15545</td><td>0.176927</td><td>0.153428</td><td>25.7015</td><td>0.189712</td><td>0.167686</td><td>0.0371312</td><td>28.9178</td><td>4.03323</td><td>0.0530988</td><td>0.0339896</td><td>26.2477</td><td>0.346381</td><td>0.123072</td><td>0.0306974</td><td>25.3997</td><td>0.247626</td><td>0.169713</td><td>0.0455451</td><td>26.1428</td><td>0.401472</td><td>0.12833</td><td>0.0525831</td><td>25.9212</td><td>0.515618</td><td>0.239632</td><td>0.0625389</td><td>25.8508</td><td>0.480794</td><td>0.135313</td><td>0.0718988</td><td>26.8969</td><td>0.617161</td><td>0.0843183</td><td>0.0331223</td><td>26.2005</td><td>0.362887</td><td>0.133611</td><td>0.0385989</td><td>26.8316</td><td>0.788565</td><td>0.0287578</td><td>0.0421426</td><td>nan</td><td>nan</td><td>0.101895</td><td>0.0475307</td><td>27.1729</td><td>0.947042</td><td>0.0915741</td><td>0.0404572</td><td>25.5595</td><td>0.263919</td><td>0.204585</td><td>0.0648594</td><td>25.2645</td><td>0.421656</td><td>0.215464</td><td>0.074897</td><td>26.2594</td><td>0.459549</td><td>0.120601</td><td>0.0665867</td><td>nan</td><td>nan</td><td>-0.108699</td><td>0.283465</td><td>23.6203</td><td>0.205339</td><td>0.663697</td><td>0.279206</td><td>25.5722</td><td>0.577898</td><td>0.161831</td><td>0.136805</td><td>0.132617</td><td>0.0250069</td><td>26.0935</td><td>0.204732</td><td>0.201632</td><td>0.0377873</td><td>25.6386</td><td>0.203475</td><td>0.0</td><td>2.49101</td><td>-99.9</td><td>-99.9</td><td>0.0</td><td>2.70767</td><td>-99.9</td><td>-99.9</td><td>0.254449</td><td>0.0876254</td><td>False</td><td>25.2473</td><td>0.415037</td><td>0.0843412</td><td>0.036056</td><td>False</td><td>26.0023</td><td>0.418735</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>-2.15776</td><td>0.00815605</td><td>0.0562697</td><td>False</td><td>26.7182</td><td>1.17542</td><td>0.0225154</td><td>0.0186115</td><td>False</td><td>27.5694</td><td>0.748925</td><td>0.0600343</td><td>0.0112552</td><td>False</td><td>27.2161</td><td>0.250614</td><td>0.121451</td><td>0.0200772</td><td>False</td><td>26.2856</td><td>0.213007</td><td>0.231569</td><td>0.0320786</td><td>False</td><td>25.8132</td><td>0.152569</td><td>0.126148</td><td>0.0199181</td><td>False</td><td>26.1538</td><td>0.152325</td><td>0.0702037</td><td>0.0747114</td><td>False</td><td>25.7805</td><td>0.941531</td><td>0.190283</td><td>0.0332484</td><td>False</td><td>25.8388</td><td>0.240418</td><td>0.00983739</td><td>0.0365434</td><td>False</td><td>27.0873</td><td>0.695001</td><td>0.115059</td><td>0.0367071</td><td>False</td><td>26.1746</td><td>0.270811</td><td>0.251258</td><td>0.0573049</td><td>False</td><td>25.8257</td><td>0.291374</td><td>0.12673</td><td>0.0468609</td><td>False</td><td>26.1292</td><td>0.444879</td><td>0.155425</td><td>0.0738114</td><td>False</td><td>25.4511</td><td>0.283354</td><td>0.165836</td><td>0.0734369</td><td>False</td><td>26.0716</td><td>0.576908</td><td>0.0632761</td><td>0.0359678</td><td>False</td><td>26.5852</td><td>0.426504</td><td>0.120171</td><td>0.0401649</td><td>False</td><td>26.0854</td><td>0.313658</td><td>0.0671985</td><td>0.048806</td><td>False</td><td>27.7531</td><td>1.59107</td><td>nan</td><td>nan</td><td>False</td><td>26.3796</td><td>0.506461</td><td>0.0490727</td><td>0.0428041</td><td>False</td><td>26.4956</td><td>0.479675</td><td>0.21687</td><td>0.0527164</td><td>False</td><td>25.6228</td><td>0.34421</td><td>0.284577</td><td>0.110518</td><td>False</td><td>25.5666</td><td>0.377411</td><td>0.113826</td><td>0.0481779</td><td>False</td><td>26.1966</td><td>0.599461</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>-2.83138</td><td>1.29384</td><td>0.244696</td><td>False</td><td>24.3451</td><td>0.456751</td><td>0.214348</td><td>0.11409</td><td>False</td><td>25.8773</td><td>0.917835</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",
       "require.config({paths: {\n",
       "    datatables: 'https://cdn.datatables.net/1.10.12/js/jquery.dataTables.min'\n",
       "}});\n",
       "require([\"datatables\"], function(){\n",
       "    console.log(\"$('#table140091529174096-831444').dataTable()\");\n",
       "    $('#table140091529174096-831444').dataTable({\n",
       "        \"order\": [],\n",
       "        \"iDisplayLength\": 50,\n",
       "        \"aLengthMenu\": [[10, 25, 50, 100, 500, 1000, -1], [10, 25, 50, 100, 500, 1000, 'All']],\n",
       "        \"pagingType\": \"full_numbers\"\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": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## II - Removal of duplicated sources"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "We remove duplicated objects from the input catalogues."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "SORT_COLS = []\n",
    "for f in list(bands):\n",
    "    if 'splash' not in f:\n",
    "        SORT_COLS += ['merr_ap_cosmos-' + bands[f]]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n",
      "Check the NumPy 1.11 release notes for more information.\n",
      "  ma.MaskedArray.__setitem__(self, index, value)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The initial catalogue had 694478 sources.\n",
      "The cleaned catalogue has 694478 sources (0 removed).\n",
      "The cleaned catalogue has 0 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 = 'ps1_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": {
    "deletable": true,
    "editable": true
   },
   "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": 11,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "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": 12,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
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ObTVVZQd8ptTOsn0ldfb0fcWhQl65k0+2F1adTBHVtnONZVpd0p6S/FwACk4eIf/EIbat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\nQjweJTtCCCEej5IdIYQQj/f/F24QdWE1GRUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f699bde95c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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KBYOSHEaXRBFAcRYF/mBRILuqIRVfMLagFgihwVN2FP7aUniri+ApP2F0SRTB2LMPA5JQ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\nRCbHsCciIjK5/w8zFt9jVroFQQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6999c91b38>"
      ]
     },
     "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": 13,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RA correction: -0.07898549040419311 arcsec\n",
      "Dec correction: -0.010563906203397977 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": 14,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "catalogue[RA_COL] +=  delta_ra.to(u.deg)\n",
    "catalogue[DEC_COL] += delta_dec.to(u.deg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0syi9kEsTw+gSaXI7yvNF2/IkyStUJrrRPSqPM3ojvqfT9QYFUtoHc0FX7/zG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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6990617be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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sO3jwoCQpLS0t7HUCAOAGvki/4bZt2zRp0iRNmTJFd9xxxym37devnz755JMa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\nhD0AAC5H2AMA4HL/H2p1qh1YIngBAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6990626390>"
      ]
     },
     "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": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## IV - Flagging Gaia objects"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "catalogue.add_column(\n",
    "    gaia_flag_column(SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]), epoch, gaia)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "46 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": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## V - Flagging objects near bright stars"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# VI - Saving to disk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "catalogue.write(\"{}/COSMOS2015_HELP.fits\".format(OUT_DIR), overwrite=True)"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python (herschelhelp_internal)",
   "language": "python",
   "name": "helpint"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}